Mercurial > cpython-lru_cache-weakref
annotate Lib/decimal.py @ 80661:94de77bd0b4b 2.7
Issue #16194: document imp.load_dynamic problems
when read several extension modules from the same binary object file.
| author | Andrew Svetlov <andrew.svetlov@gmail.com> |
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| date | Thu, 29 Nov 2012 19:51:28 +0200 |
| parents | 5dd5f824428c |
| children | 44ed0cd3dc6d |
| rev | line source |
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1 # Copyright (c) 2004 Python Software Foundation. |
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2 # All rights reserved. |
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3 |
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4 # Written by Eric Price <eprice at tjhsst.edu> |
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5 # and Facundo Batista <facundo at taniquetil.com.ar> |
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6 # and Raymond Hettinger <python at rcn.com> |
| 32456 | 7 # and Aahz <aahz at pobox.com> |
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8 # and Tim Peters |
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9 |
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10 # This module is currently Py2.3 compatible and should be kept that way |
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11 # unless a major compelling advantage arises. IOW, 2.3 compatibility is |
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12 # strongly preferred, but not guaranteed. |
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13 |
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14 # Also, this module should be kept in sync with the latest updates of |
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15 # the IBM specification as it evolves. Those updates will be treated |
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16 # as bug fixes (deviation from the spec is a compatibility, usability |
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17 # bug) and will be backported. At this point the spec is stabilizing |
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18 # and the updates are becoming fewer, smaller, and less significant. |
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19 |
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20 """ |
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21 This is a Py2.3 implementation of decimal floating point arithmetic based on |
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22 the General Decimal Arithmetic Specification: |
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23 |
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24 http://speleotrove.com/decimal/decarith.html |
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25 |
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26 and IEEE standard 854-1987: |
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27 |
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28 www.cs.berkeley.edu/~ejr/projects/754/private/drafts/854-1987/dir.html |
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29 |
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30 Decimal floating point has finite precision with arbitrarily large bounds. |
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31 |
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32 The purpose of this module is to support arithmetic using familiar |
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33 "schoolhouse" rules and to avoid some of the tricky representation |
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34 issues associated with binary floating point. The package is especially |
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35 useful for financial applications or for contexts where users have |
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36 expectations that are at odds with binary floating point (for instance, |
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37 in binary floating point, 1.00 % 0.1 gives 0.09999999999999995 instead |
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38 of the expected Decimal('0.00') returned by decimal floating point). |
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39 |
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40 Here are some examples of using the decimal module: |
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41 |
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42 >>> from decimal import * |
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43 >>> setcontext(ExtendedContext) |
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44 >>> Decimal(0) |
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45 Decimal('0') |
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46 >>> Decimal('1') |
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47 Decimal('1') |
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48 >>> Decimal('-.0123') |
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49 Decimal('-0.0123') |
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50 >>> Decimal(123456) |
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51 Decimal('123456') |
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52 >>> Decimal('123.45e12345678901234567890') |
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53 Decimal('1.2345E+12345678901234567892') |
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54 >>> Decimal('1.33') + Decimal('1.27') |
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55 Decimal('2.60') |
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56 >>> Decimal('12.34') + Decimal('3.87') - Decimal('18.41') |
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57 Decimal('-2.20') |
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58 >>> dig = Decimal(1) |
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59 >>> print dig / Decimal(3) |
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60 0.333333333 |
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61 >>> getcontext().prec = 18 |
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62 >>> print dig / Decimal(3) |
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63 0.333333333333333333 |
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64 >>> print dig.sqrt() |
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65 1 |
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66 >>> print Decimal(3).sqrt() |
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67 1.73205080756887729 |
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68 >>> print Decimal(3) ** 123 |
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69 4.85192780976896427E+58 |
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70 >>> inf = Decimal(1) / Decimal(0) |
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71 >>> print inf |
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72 Infinity |
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73 >>> neginf = Decimal(-1) / Decimal(0) |
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74 >>> print neginf |
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75 -Infinity |
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76 >>> print neginf + inf |
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77 NaN |
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78 >>> print neginf * inf |
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79 -Infinity |
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80 >>> print dig / 0 |
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81 Infinity |
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82 >>> getcontext().traps[DivisionByZero] = 1 |
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83 >>> print dig / 0 |
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84 Traceback (most recent call last): |
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85 ... |
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86 ... |
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87 ... |
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88 DivisionByZero: x / 0 |
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89 >>> c = Context() |
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90 >>> c.traps[InvalidOperation] = 0 |
| 32560 | 91 >>> print c.flags[InvalidOperation] |
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92 0 |
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93 >>> c.divide(Decimal(0), Decimal(0)) |
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94 Decimal('NaN') |
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95 >>> c.traps[InvalidOperation] = 1 |
| 32560 | 96 >>> print c.flags[InvalidOperation] |
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97 1 |
| 32560 | 98 >>> c.flags[InvalidOperation] = 0 |
| 99 >>> print c.flags[InvalidOperation] | |
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100 0 |
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101 >>> print c.divide(Decimal(0), Decimal(0)) |
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102 Traceback (most recent call last): |
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103 ... |
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104 ... |
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105 ... |
| 32560 | 106 InvalidOperation: 0 / 0 |
| 107 >>> print c.flags[InvalidOperation] | |
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108 1 |
| 32560 | 109 >>> c.flags[InvalidOperation] = 0 |
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110 >>> c.traps[InvalidOperation] = 0 |
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111 >>> print c.divide(Decimal(0), Decimal(0)) |
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112 NaN |
| 32560 | 113 >>> print c.flags[InvalidOperation] |
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114 1 |
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115 >>> |
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116 """ |
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117 |
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118 __all__ = [ |
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119 # Two major classes |
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120 'Decimal', 'Context', |
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121 |
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122 # Contexts |
| 32482 | 123 'DefaultContext', 'BasicContext', 'ExtendedContext', |
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124 |
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125 # Exceptions |
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126 'DecimalException', 'Clamped', 'InvalidOperation', 'DivisionByZero', |
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127 'Inexact', 'Rounded', 'Subnormal', 'Overflow', 'Underflow', |
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128 |
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129 # Constants for use in setting up contexts |
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130 'ROUND_DOWN', 'ROUND_HALF_UP', 'ROUND_HALF_EVEN', 'ROUND_CEILING', |
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131 'ROUND_FLOOR', 'ROUND_UP', 'ROUND_HALF_DOWN', 'ROUND_05UP', |
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132 |
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133 # Functions for manipulating contexts |
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134 'setcontext', 'getcontext', 'localcontext' |
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135 ] |
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136 |
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137 __version__ = '1.70' # Highest version of the spec this complies with |
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138 |
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139 import copy as _copy |
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140 import math as _math |
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141 import numbers as _numbers |
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142 |
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143 try: |
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144 from collections import namedtuple as _namedtuple |
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145 DecimalTuple = _namedtuple('DecimalTuple', 'sign digits exponent') |
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146 except ImportError: |
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147 DecimalTuple = lambda *args: args |
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148 |
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149 # Rounding |
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150 ROUND_DOWN = 'ROUND_DOWN' |
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151 ROUND_HALF_UP = 'ROUND_HALF_UP' |
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152 ROUND_HALF_EVEN = 'ROUND_HALF_EVEN' |
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153 ROUND_CEILING = 'ROUND_CEILING' |
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154 ROUND_FLOOR = 'ROUND_FLOOR' |
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155 ROUND_UP = 'ROUND_UP' |
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156 ROUND_HALF_DOWN = 'ROUND_HALF_DOWN' |
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157 ROUND_05UP = 'ROUND_05UP' |
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158 |
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159 # Errors |
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160 |
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161 class DecimalException(ArithmeticError): |
| 32560 | 162 """Base exception class. |
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163 |
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164 Used exceptions derive from this. |
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165 If an exception derives from another exception besides this (such as |
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166 Underflow (Inexact, Rounded, Subnormal) that indicates that it is only |
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167 called if the others are present. This isn't actually used for |
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168 anything, though. |
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169 |
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170 handle -- Called when context._raise_error is called and the |
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171 trap_enabler is not set. First argument is self, second is the |
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172 context. More arguments can be given, those being after |
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173 the explanation in _raise_error (For example, |
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174 context._raise_error(NewError, '(-x)!', self._sign) would |
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175 call NewError().handle(context, self._sign).) |
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176 |
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177 To define a new exception, it should be sufficient to have it derive |
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178 from DecimalException. |
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179 """ |
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180 def handle(self, context, *args): |
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181 pass |
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182 |
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183 |
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184 class Clamped(DecimalException): |
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185 """Exponent of a 0 changed to fit bounds. |
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186 |
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187 This occurs and signals clamped if the exponent of a result has been |
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188 altered in order to fit the constraints of a specific concrete |
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189 representation. This may occur when the exponent of a zero result would |
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190 be outside the bounds of a representation, or when a large normal |
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191 number would have an encoded exponent that cannot be represented. In |
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192 this latter case, the exponent is reduced to fit and the corresponding |
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193 number of zero digits are appended to the coefficient ("fold-down"). |
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194 """ |
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195 |
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196 class InvalidOperation(DecimalException): |
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197 """An invalid operation was performed. |
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198 |
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199 Various bad things cause this: |
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200 |
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201 Something creates a signaling NaN |
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202 -INF + INF |
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203 0 * (+-)INF |
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204 (+-)INF / (+-)INF |
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205 x % 0 |
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206 (+-)INF % x |
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207 x._rescale( non-integer ) |
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208 sqrt(-x) , x > 0 |
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209 0 ** 0 |
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210 x ** (non-integer) |
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211 x ** (+-)INF |
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212 An operand is invalid |
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213 |
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214 The result of the operation after these is a quiet positive NaN, |
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215 except when the cause is a signaling NaN, in which case the result is |
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216 also a quiet NaN, but with the original sign, and an optional |
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217 diagnostic information. |
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218 """ |
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219 def handle(self, context, *args): |
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220 if args: |
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221 ans = _dec_from_triple(args[0]._sign, args[0]._int, 'n', True) |
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222 return ans._fix_nan(context) |
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223 return _NaN |
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224 |
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225 class ConversionSyntax(InvalidOperation): |
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226 """Trying to convert badly formed string. |
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227 |
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228 This occurs and signals invalid-operation if an string is being |
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229 converted to a number and it does not conform to the numeric string |
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230 syntax. The result is [0,qNaN]. |
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231 """ |
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232 def handle(self, context, *args): |
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233 return _NaN |
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234 |
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235 class DivisionByZero(DecimalException, ZeroDivisionError): |
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236 """Division by 0. |
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237 |
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238 This occurs and signals division-by-zero if division of a finite number |
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239 by zero was attempted (during a divide-integer or divide operation, or a |
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240 power operation with negative right-hand operand), and the dividend was |
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241 not zero. |
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242 |
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243 The result of the operation is [sign,inf], where sign is the exclusive |
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244 or of the signs of the operands for divide, or is 1 for an odd power of |
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245 -0, for power. |
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246 """ |
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247 |
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248 def handle(self, context, sign, *args): |
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249 return _SignedInfinity[sign] |
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250 |
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251 class DivisionImpossible(InvalidOperation): |
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252 """Cannot perform the division adequately. |
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253 |
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254 This occurs and signals invalid-operation if the integer result of a |
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255 divide-integer or remainder operation had too many digits (would be |
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256 longer than precision). The result is [0,qNaN]. |
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257 """ |
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258 |
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259 def handle(self, context, *args): |
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260 return _NaN |
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261 |
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262 class DivisionUndefined(InvalidOperation, ZeroDivisionError): |
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263 """Undefined result of division. |
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264 |
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265 This occurs and signals invalid-operation if division by zero was |
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266 attempted (during a divide-integer, divide, or remainder operation), and |
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267 the dividend is also zero. The result is [0,qNaN]. |
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268 """ |
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269 |
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270 def handle(self, context, *args): |
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271 return _NaN |
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272 |
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273 class Inexact(DecimalException): |
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274 """Had to round, losing information. |
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275 |
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276 This occurs and signals inexact whenever the result of an operation is |
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277 not exact (that is, it needed to be rounded and any discarded digits |
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278 were non-zero), or if an overflow or underflow condition occurs. The |
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279 result in all cases is unchanged. |
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280 |
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281 The inexact signal may be tested (or trapped) to determine if a given |
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282 operation (or sequence of operations) was inexact. |
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283 """ |
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284 |
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285 class InvalidContext(InvalidOperation): |
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286 """Invalid context. Unknown rounding, for example. |
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287 |
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288 This occurs and signals invalid-operation if an invalid context was |
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289 detected during an operation. This can occur if contexts are not checked |
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290 on creation and either the precision exceeds the capability of the |
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291 underlying concrete representation or an unknown or unsupported rounding |
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292 was specified. These aspects of the context need only be checked when |
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293 the values are required to be used. The result is [0,qNaN]. |
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294 """ |
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295 |
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296 def handle(self, context, *args): |
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297 return _NaN |
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298 |
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299 class Rounded(DecimalException): |
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300 """Number got rounded (not necessarily changed during rounding). |
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301 |
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302 This occurs and signals rounded whenever the result of an operation is |
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303 rounded (that is, some zero or non-zero digits were discarded from the |
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304 coefficient), or if an overflow or underflow condition occurs. The |
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305 result in all cases is unchanged. |
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306 |
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307 The rounded signal may be tested (or trapped) to determine if a given |
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308 operation (or sequence of operations) caused a loss of precision. |
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309 """ |
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310 |
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311 class Subnormal(DecimalException): |
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312 """Exponent < Emin before rounding. |
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313 |
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314 This occurs and signals subnormal whenever the result of a conversion or |
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315 operation is subnormal (that is, its adjusted exponent is less than |
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316 Emin, before any rounding). The result in all cases is unchanged. |
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317 |
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318 The subnormal signal may be tested (or trapped) to determine if a given |
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319 or operation (or sequence of operations) yielded a subnormal result. |
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320 """ |
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321 |
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322 class Overflow(Inexact, Rounded): |
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323 """Numerical overflow. |
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324 |
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325 This occurs and signals overflow if the adjusted exponent of a result |
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326 (from a conversion or from an operation that is not an attempt to divide |
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327 by zero), after rounding, would be greater than the largest value that |
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328 can be handled by the implementation (the value Emax). |
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329 |
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330 The result depends on the rounding mode: |
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331 |
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332 For round-half-up and round-half-even (and for round-half-down and |
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333 round-up, if implemented), the result of the operation is [sign,inf], |
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334 where sign is the sign of the intermediate result. For round-down, the |
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335 result is the largest finite number that can be represented in the |
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336 current precision, with the sign of the intermediate result. For |
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337 round-ceiling, the result is the same as for round-down if the sign of |
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338 the intermediate result is 1, or is [0,inf] otherwise. For round-floor, |
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339 the result is the same as for round-down if the sign of the intermediate |
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340 result is 0, or is [1,inf] otherwise. In all cases, Inexact and Rounded |
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341 will also be raised. |
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342 """ |
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343 |
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344 def handle(self, context, sign, *args): |
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345 if context.rounding in (ROUND_HALF_UP, ROUND_HALF_EVEN, |
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346 ROUND_HALF_DOWN, ROUND_UP): |
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347 return _SignedInfinity[sign] |
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348 if sign == 0: |
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349 if context.rounding == ROUND_CEILING: |
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350 return _SignedInfinity[sign] |
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351 return _dec_from_triple(sign, '9'*context.prec, |
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352 context.Emax-context.prec+1) |
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353 if sign == 1: |
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354 if context.rounding == ROUND_FLOOR: |
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355 return _SignedInfinity[sign] |
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356 return _dec_from_triple(sign, '9'*context.prec, |
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357 context.Emax-context.prec+1) |
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358 |
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359 |
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360 class Underflow(Inexact, Rounded, Subnormal): |
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361 """Numerical underflow with result rounded to 0. |
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362 |
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363 This occurs and signals underflow if a result is inexact and the |
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364 adjusted exponent of the result would be smaller (more negative) than |
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365 the smallest value that can be handled by the implementation (the value |
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366 Emin). That is, the result is both inexact and subnormal. |
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367 |
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368 The result after an underflow will be a subnormal number rounded, if |
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369 necessary, so that its exponent is not less than Etiny. This may result |
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370 in 0 with the sign of the intermediate result and an exponent of Etiny. |
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371 |
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372 In all cases, Inexact, Rounded, and Subnormal will also be raised. |
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373 """ |
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374 |
| 32560 | 375 # List of public traps and flags |
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376 _signals = [Clamped, DivisionByZero, Inexact, Overflow, Rounded, |
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377 Underflow, InvalidOperation, Subnormal] |
| 32560 | 378 |
| 379 # Map conditions (per the spec) to signals | |
| 380 _condition_map = {ConversionSyntax:InvalidOperation, | |
| 381 DivisionImpossible:InvalidOperation, | |
| 382 DivisionUndefined:InvalidOperation, | |
| 383 InvalidContext:InvalidOperation} | |
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384 |
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385 ##### Context Functions ################################################## |
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386 |
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387 # The getcontext() and setcontext() function manage access to a thread-local |
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388 # current context. Py2.4 offers direct support for thread locals. If that |
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389 # is not available, use threading.currentThread() which is slower but will |
| 34184 | 390 # work for older Pythons. If threads are not part of the build, create a |
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391 # mock threading object with threading.local() returning the module namespace. |
| 34184 | 392 |
| 393 try: | |
| 394 import threading | |
| 395 except ImportError: | |
| 396 # Python was compiled without threads; create a mock object instead | |
| 397 import sys | |
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398 class MockThreading(object): |
| 34184 | 399 def local(self, sys=sys): |
| 400 return sys.modules[__name__] | |
| 401 threading = MockThreading() | |
| 402 del sys, MockThreading | |
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403 |
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404 try: |
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405 threading.local |
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406 |
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407 except AttributeError: |
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408 |
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409 # To fix reloading, force it to create a new context |
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410 # Old contexts have different exceptions in their dicts, making problems. |
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411 if hasattr(threading.currentThread(), '__decimal_context__'): |
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412 del threading.currentThread().__decimal_context__ |
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413 |
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414 def setcontext(context): |
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415 """Set this thread's context to context.""" |
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416 if context in (DefaultContext, BasicContext, ExtendedContext): |
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417 context = context.copy() |
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418 context.clear_flags() |
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419 threading.currentThread().__decimal_context__ = context |
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420 |
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421 def getcontext(): |
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422 """Returns this thread's context. |
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423 |
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424 If this thread does not yet have a context, returns |
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425 a new context and sets this thread's context. |
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426 New contexts are copies of DefaultContext. |
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427 """ |
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428 try: |
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429 return threading.currentThread().__decimal_context__ |
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430 except AttributeError: |
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431 context = Context() |
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432 threading.currentThread().__decimal_context__ = context |
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433 return context |
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434 |
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435 else: |
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436 |
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437 local = threading.local() |
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438 if hasattr(local, '__decimal_context__'): |
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439 del local.__decimal_context__ |
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440 |
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441 def getcontext(_local=local): |
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442 """Returns this thread's context. |
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443 |
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444 If this thread does not yet have a context, returns |
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445 a new context and sets this thread's context. |
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446 New contexts are copies of DefaultContext. |
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447 """ |
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448 try: |
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449 return _local.__decimal_context__ |
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450 except AttributeError: |
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451 context = Context() |
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452 _local.__decimal_context__ = context |
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453 return context |
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454 |
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455 def setcontext(context, _local=local): |
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456 """Set this thread's context to context.""" |
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457 if context in (DefaultContext, BasicContext, ExtendedContext): |
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458 context = context.copy() |
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459 context.clear_flags() |
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460 _local.__decimal_context__ = context |
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461 |
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462 del threading, local # Don't contaminate the namespace |
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463 |
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464 def localcontext(ctx=None): |
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465 """Return a context manager for a copy of the supplied context |
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466 |
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467 Uses a copy of the current context if no context is specified |
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468 The returned context manager creates a local decimal context |
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469 in a with statement: |
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470 def sin(x): |
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471 with localcontext() as ctx: |
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472 ctx.prec += 2 |
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473 # Rest of sin calculation algorithm |
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474 # uses a precision 2 greater than normal |
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475 return +s # Convert result to normal precision |
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476 |
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477 def sin(x): |
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478 with localcontext(ExtendedContext): |
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479 # Rest of sin calculation algorithm |
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480 # uses the Extended Context from the |
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481 # General Decimal Arithmetic Specification |
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482 return +s # Convert result to normal context |
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483 |
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484 >>> setcontext(DefaultContext) |
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485 >>> print getcontext().prec |
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486 28 |
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487 >>> with localcontext(): |
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488 ... ctx = getcontext() |
| 40769 | 489 ... ctx.prec += 2 |
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490 ... print ctx.prec |
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491 ... |
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492 30 |
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493 >>> with localcontext(ExtendedContext): |
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494 ... print getcontext().prec |
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495 ... |
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496 9 |
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497 >>> print getcontext().prec |
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498 28 |
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499 """ |
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500 if ctx is None: ctx = getcontext() |
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501 return _ContextManager(ctx) |
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502 |
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503 |
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504 ##### Decimal class ####################################################### |
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505 |
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506 class Decimal(object): |
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507 """Floating point class for decimal arithmetic.""" |
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508 |
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509 __slots__ = ('_exp','_int','_sign', '_is_special') |
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510 # Generally, the value of the Decimal instance is given by |
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511 # (-1)**_sign * _int * 10**_exp |
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512 # Special values are signified by _is_special == True |
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513 |
| 33695 | 514 # We're immutable, so use __new__ not __init__ |
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515 def __new__(cls, value="0", context=None): |
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516 """Create a decimal point instance. |
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517 |
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518 >>> Decimal('3.14') # string input |
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519 Decimal('3.14') |
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520 >>> Decimal((0, (3, 1, 4), -2)) # tuple (sign, digit_tuple, exponent) |
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521 Decimal('3.14') |
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522 >>> Decimal(314) # int or long |
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523 Decimal('314') |
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524 >>> Decimal(Decimal(314)) # another decimal instance |
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525 Decimal('314') |
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526 >>> Decimal(' 3.14 \\n') # leading and trailing whitespace okay |
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527 Decimal('3.14') |
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528 """ |
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529 |
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530 # Note that the coefficient, self._int, is actually stored as |
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531 # a string rather than as a tuple of digits. This speeds up |
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532 # the "digits to integer" and "integer to digits" conversions |
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533 # that are used in almost every arithmetic operation on |
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534 # Decimals. This is an internal detail: the as_tuple function |
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535 # and the Decimal constructor still deal with tuples of |
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536 # digits. |
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537 |
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538 self = object.__new__(cls) |
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539 |
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540 # From a string |
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541 # REs insist on real strings, so we can too. |
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542 if isinstance(value, basestring): |
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543 m = _parser(value.strip()) |
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544 if m is None: |
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545 if context is None: |
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546 context = getcontext() |
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547 return context._raise_error(ConversionSyntax, |
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548 "Invalid literal for Decimal: %r" % value) |
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549 |
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550 if m.group('sign') == "-": |
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551 self._sign = 1 |
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552 else: |
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553 self._sign = 0 |
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554 intpart = m.group('int') |
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555 if intpart is not None: |
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556 # finite number |
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557 fracpart = m.group('frac') or '' |
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558 exp = int(m.group('exp') or '0') |
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559 self._int = str(int(intpart+fracpart)) |
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560 self._exp = exp - len(fracpart) |
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561 self._is_special = False |
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562 else: |
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563 diag = m.group('diag') |
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564 if diag is not None: |
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565 # NaN |
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566 self._int = str(int(diag or '0')).lstrip('0') |
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567 if m.group('signal'): |
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568 self._exp = 'N' |
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569 else: |
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570 self._exp = 'n' |
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571 else: |
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572 # infinity |
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573 self._int = '0' |
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574 self._exp = 'F' |
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575 self._is_special = True |
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576 return self |
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577 |
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578 # From an integer |
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579 if isinstance(value, (int,long)): |
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580 if value >= 0: |
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581 self._sign = 0 |
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582 else: |
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583 self._sign = 1 |
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584 self._exp = 0 |
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585 self._int = str(abs(value)) |
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586 self._is_special = False |
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587 return self |
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588 |
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589 # From another decimal |
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590 if isinstance(value, Decimal): |
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591 self._exp = value._exp |
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592 self._sign = value._sign |
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593 self._int = value._int |
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594 self._is_special = value._is_special |
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595 return self |
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596 |
|
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597 # From an internal working value |
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598 if isinstance(value, _WorkRep): |
|
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599 self._sign = value.sign |
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600 self._int = str(value.int) |
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601 self._exp = int(value.exp) |
|
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602 self._is_special = False |
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603 return self |
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604 |
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|
605 # tuple/list conversion (possibly from as_tuple()) |
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606 if isinstance(value, (list,tuple)): |
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607 if len(value) != 3: |
|
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608 raise ValueError('Invalid tuple size in creation of Decimal ' |
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609 'from list or tuple. The list or tuple ' |
|
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610 'should have exactly three elements.') |
|
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|
611 # process sign. The isinstance test rejects floats |
|
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|
612 if not (isinstance(value[0], (int, long)) and value[0] in (0,1)): |
|
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|
613 raise ValueError("Invalid sign. The first value in the tuple " |
|
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|
614 "should be an integer; either 0 for a " |
|
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615 "positive number or 1 for a negative number.") |
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616 self._sign = value[0] |
|
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|
617 if value[2] == 'F': |
|
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618 # infinity: value[1] is ignored |
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619 self._int = '0' |
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620 self._exp = value[2] |
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|
621 self._is_special = True |
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622 else: |
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|
623 # process and validate the digits in value[1] |
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624 digits = [] |
|
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625 for digit in value[1]: |
|
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626 if isinstance(digit, (int, long)) and 0 <= digit <= 9: |
|
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627 # skip leading zeros |
|
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628 if digits or digit != 0: |
|
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629 digits.append(digit) |
|
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630 else: |
|
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631 raise ValueError("The second value in the tuple must " |
|
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632 "be composed of integers in the range " |
|
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|
633 "0 through 9.") |
|
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634 if value[2] in ('n', 'N'): |
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635 # NaN: digits form the diagnostic |
|
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636 self._int = ''.join(map(str, digits)) |
|
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|
637 self._exp = value[2] |
|
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|
638 self._is_special = True |
|
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639 elif isinstance(value[2], (int, long)): |
|
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|
640 # finite number: digits give the coefficient |
|
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641 self._int = ''.join(map(str, digits or [0])) |
|
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642 self._exp = value[2] |
|
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643 self._is_special = False |
|
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|
644 else: |
|
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|
645 raise ValueError("The third value in the tuple must " |
|
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646 "be an integer, or one of the " |
|
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647 "strings 'F', 'n', 'N'.") |
|
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648 return self |
|
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|
649 |
|
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|
650 if isinstance(value, float): |
|
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651 value = Decimal.from_float(value) |
|
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652 self._exp = value._exp |
|
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|
653 self._sign = value._sign |
|
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|
654 self._int = value._int |
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|
655 self._is_special = value._is_special |
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|
656 return self |
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|
657 |
|
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658 raise TypeError("Cannot convert %r to Decimal" % value) |
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|
659 |
|
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|
660 # @classmethod, but @decorator is not valid Python 2.3 syntax, so |
|
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661 # don't use it (see notes on Py2.3 compatibility at top of file) |
|
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|
662 def from_float(cls, f): |
|
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|
663 """Converts a float to a decimal number, exactly. |
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|
664 |
|
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|
665 Note that Decimal.from_float(0.1) is not the same as Decimal('0.1'). |
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666 Since 0.1 is not exactly representable in binary floating point, the |
|
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|
667 value is stored as the nearest representable value which is |
|
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|
668 0x1.999999999999ap-4. The exact equivalent of the value in decimal |
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|
669 is 0.1000000000000000055511151231257827021181583404541015625. |
|
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|
670 |
|
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|
671 >>> Decimal.from_float(0.1) |
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672 Decimal('0.1000000000000000055511151231257827021181583404541015625') |
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|
673 >>> Decimal.from_float(float('nan')) |
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|
674 Decimal('NaN') |
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|
675 >>> Decimal.from_float(float('inf')) |
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|
676 Decimal('Infinity') |
|
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|
677 >>> Decimal.from_float(-float('inf')) |
|
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|
678 Decimal('-Infinity') |
|
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|
679 >>> Decimal.from_float(-0.0) |
|
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|
680 Decimal('-0') |
|
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|
681 |
|
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|
682 """ |
|
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683 if isinstance(f, (int, long)): # handle integer inputs |
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|
684 return cls(f) |
|
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|
685 if _math.isinf(f) or _math.isnan(f): # raises TypeError if not a float |
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|
686 return cls(repr(f)) |
|
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|
687 if _math.copysign(1.0, f) == 1.0: |
|
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|
688 sign = 0 |
|
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|
689 else: |
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|
690 sign = 1 |
|
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|
691 n, d = abs(f).as_integer_ratio() |
|
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|
692 k = d.bit_length() - 1 |
|
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|
693 result = _dec_from_triple(sign, str(n*5**k), -k) |
|
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|
694 if cls is Decimal: |
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|
695 return result |
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|
696 else: |
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|
697 return cls(result) |
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|
698 from_float = classmethod(from_float) |
|
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|
699 |
|
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|
700 def _isnan(self): |
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changeset
|
701 """Returns whether the number is not actually one. |
|
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parents:
diff
changeset
|
702 |
|
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Move Decimal from the sandbox into production.
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parents:
diff
changeset
|
703 0 if a number |
|
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Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
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diff
changeset
|
704 1 if NaN |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
705 2 if sNaN |
|
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Move Decimal from the sandbox into production.
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diff
changeset
|
706 """ |
|
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|
707 if self._is_special: |
|
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|
708 exp = self._exp |
|
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|
709 if exp == 'n': |
|
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diff
changeset
|
710 return 1 |
|
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parents:
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diff
changeset
|
711 elif exp == 'N': |
|
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|
712 return 2 |
|
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parents:
diff
changeset
|
713 return 0 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
714 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
715 def _isinfinity(self): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
716 """Returns whether the number is infinite |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
717 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
718 0 if finite or not a number |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
719 1 if +INF |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
720 -1 if -INF |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
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parents:
diff
changeset
|
721 """ |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
722 if self._exp == 'F': |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
723 if self._sign: |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
724 return -1 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
725 return 1 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
726 return 0 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
727 |
|
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diff
changeset
|
728 def _check_nans(self, other=None, context=None): |
|
32451
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Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
729 """Returns whether the number is not actually one. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
730 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
731 if self, other are sNaN, signal |
|
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Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
732 if self, other are NaN return nan |
|
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Move Decimal from the sandbox into production.
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parents:
diff
changeset
|
733 return 0 |
|
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Move Decimal from the sandbox into production.
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parents:
diff
changeset
|
734 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
735 Done before operations. |
|
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Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
736 """ |
|
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|
737 |
|
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changeset
|
738 self_is_nan = self._isnan() |
|
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|
739 if other is None: |
|
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|
740 other_is_nan = False |
|
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|
741 else: |
|
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changeset
|
742 other_is_nan = other._isnan() |
|
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|
743 |
|
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parents:
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changeset
|
744 if self_is_nan or other_is_nan: |
|
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|
745 if context is None: |
|
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|
746 context = getcontext() |
|
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|
747 |
|
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|
748 if self_is_nan == 2: |
|
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|
749 return context._raise_error(InvalidOperation, 'sNaN', |
|
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|
750 self) |
|
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|
751 if other_is_nan == 2: |
|
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|
752 return context._raise_error(InvalidOperation, 'sNaN', |
|
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|
753 other) |
|
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|
754 if self_is_nan: |
|
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parents:
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changeset
|
755 return self._fix_nan(context) |
|
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Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
756 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
757 return other._fix_nan(context) |
|
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|
758 return 0 |
|
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parents:
diff
changeset
|
759 |
|
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parents:
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diff
changeset
|
760 def _compare_check_nans(self, other, context): |
|
f55a4f119141
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parents:
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diff
changeset
|
761 """Version of _check_nans used for the signaling comparisons |
|
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parents:
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diff
changeset
|
762 compare_signal, __le__, __lt__, __ge__, __gt__. |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
44923
diff
changeset
|
763 |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
764 Signal InvalidOperation if either self or other is a (quiet |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
765 or signaling) NaN. Signaling NaNs take precedence over quiet |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
766 NaNs. |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
767 |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
44923
diff
changeset
|
768 Return 0 if neither operand is a NaN. |
|
f55a4f119141
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parents:
44923
diff
changeset
|
769 |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
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diff
changeset
|
770 """ |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
44923
diff
changeset
|
771 if context is None: |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
44923
diff
changeset
|
772 context = getcontext() |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
44923
diff
changeset
|
773 |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
774 if self._is_special or other._is_special: |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
775 if self.is_snan(): |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
44923
diff
changeset
|
776 return context._raise_error(InvalidOperation, |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
44923
diff
changeset
|
777 'comparison involving sNaN', |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
778 self) |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
779 elif other.is_snan(): |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
780 return context._raise_error(InvalidOperation, |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
781 'comparison involving sNaN', |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
782 other) |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
783 elif self.is_qnan(): |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
784 return context._raise_error(InvalidOperation, |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
785 'comparison involving NaN', |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
786 self) |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
787 elif other.is_qnan(): |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
788 return context._raise_error(InvalidOperation, |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
789 'comparison involving NaN', |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
790 other) |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
791 return 0 |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
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diff
changeset
|
792 |
|
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diff
changeset
|
793 def __nonzero__(self): |
|
44600
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parents:
40769
diff
changeset
|
794 """Return True if self is nonzero; otherwise return False. |
|
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Decimal module and test cases were updated to their state of
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parents:
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|
795 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
796 NaNs and infinities are considered nonzero. |
|
32451
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|
797 """ |
|
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parents:
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changeset
|
798 return self._is_special or self._int != '0' |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
799 |
|
45201
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parents:
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diff
changeset
|
800 def _cmp(self, other): |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
44923
diff
changeset
|
801 """Compare the two non-NaN decimal instances self and other. |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
44923
diff
changeset
|
802 |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
803 Returns -1 if self < other, 0 if self == other and 1 |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
44923
diff
changeset
|
804 if self > other. This routine is for internal use only.""" |
|
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diff
changeset
|
805 |
|
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SF patch #1020845: Decimal performance enhancements
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parents:
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diff
changeset
|
806 if self._is_special or other._is_special: |
|
51028
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diff
changeset
|
807 self_inf = self._isinfinity() |
|
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diff
changeset
|
808 other_inf = other._isinfinity() |
|
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diff
changeset
|
809 if self_inf == other_inf: |
|
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changeset
|
810 return 0 |
|
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diff
changeset
|
811 elif self_inf < other_inf: |
|
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changeset
|
812 return -1 |
|
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diff
changeset
|
813 else: |
|
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diff
changeset
|
814 return 1 |
|
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parents:
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diff
changeset
|
815 |
|
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diff
changeset
|
816 # check for zeros; Decimal('0') == Decimal('-0') |
|
44600
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diff
changeset
|
817 if not self: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
818 if not other: |
|
9a60bd8f00d6
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parents:
40769
diff
changeset
|
819 return 0 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
820 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
821 return -((-1)**other._sign) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
822 if not other: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
823 return (-1)**self._sign |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
824 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
825 # If different signs, neg one is less |
|
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Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
826 if other._sign < self._sign: |
|
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Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
827 return -1 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
828 if self._sign < other._sign: |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
829 return 1 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
830 |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
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parents:
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|
831 self_adjusted = self.adjusted() |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
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diff
changeset
|
832 other_adjusted = other.adjusted() |
|
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parents:
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diff
changeset
|
833 if self_adjusted == other_adjusted: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
834 self_padded = self._int + '0'*(self._exp - other._exp) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
835 other_padded = other._int + '0'*(other._exp - self._exp) |
|
51028
99c10d647f32
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diff
changeset
|
836 if self_padded == other_padded: |
|
99c10d647f32
Merged revisions 68920 via svnmerge from
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|
837 return 0 |
|
99c10d647f32
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Mark Dickinson <dickinsm@gmail.com>
parents:
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changeset
|
838 elif self_padded < other_padded: |
|
99c10d647f32
Merged revisions 68920 via svnmerge from
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parents:
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diff
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|
839 return -(-1)**self._sign |
|
99c10d647f32
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diff
changeset
|
840 else: |
|
99c10d647f32
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changeset
|
841 return (-1)**self._sign |
|
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parents:
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diff
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|
842 elif self_adjusted > other_adjusted: |
|
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parents:
diff
changeset
|
843 return (-1)**self._sign |
|
44600
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parents:
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diff
changeset
|
844 else: # self_adjusted < other_adjusted |
|
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parents:
diff
changeset
|
845 return -((-1)**self._sign) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
846 |
|
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Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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changeset
|
847 # Note: The Decimal standard doesn't cover rich comparisons for |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
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changeset
|
848 # Decimals. In particular, the specification is silent on the |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
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|
849 # subject of what should happen for a comparison involving a NaN. |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
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changeset
|
850 # We take the following approach: |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
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changeset
|
851 # |
|
60155
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Issue #7279: Make comparisons involving a Decimal sNaN signal InvalidOperation.
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parents:
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diff
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|
852 # == comparisons involving a quiet NaN always return False |
|
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Issue #7279: Make comparisons involving a Decimal sNaN signal InvalidOperation.
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parents:
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diff
changeset
|
853 # != comparisons involving a quiet NaN always return True |
|
ae7cf578de5a
Issue #7279: Make comparisons involving a Decimal sNaN signal InvalidOperation.
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parents:
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diff
changeset
|
854 # == or != comparisons involving a signaling NaN signal |
|
ae7cf578de5a
Issue #7279: Make comparisons involving a Decimal sNaN signal InvalidOperation.
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parents:
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diff
changeset
|
855 # InvalidOperation, and return False or True as above if the |
|
ae7cf578de5a
Issue #7279: Make comparisons involving a Decimal sNaN signal InvalidOperation.
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parents:
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changeset
|
856 # InvalidOperation is not trapped. |
|
45201
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Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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diff
changeset
|
857 # <, >, <= and >= comparisons involving a (quiet or signaling) |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
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diff
changeset
|
858 # NaN signal InvalidOperation, and return False if the |
|
45269
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diff
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|
859 # InvalidOperation is not trapped. |
|
45201
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Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
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|
860 # |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
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diff
changeset
|
861 # This behavior is designed to conform as closely as possible to |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
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changeset
|
862 # that specified by IEEE 754. |
|
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Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
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diff
changeset
|
863 |
|
60155
ae7cf578de5a
Issue #7279: Make comparisons involving a Decimal sNaN signal InvalidOperation.
Mark Dickinson <dickinsm@gmail.com>
parents:
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changeset
|
864 def __eq__(self, other, context=None): |
|
60151
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parents:
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diff
changeset
|
865 other = _convert_other(other, allow_float=True) |
|
45201
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parents:
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diff
changeset
|
866 if other is NotImplemented: |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
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changeset
|
867 return other |
|
60155
ae7cf578de5a
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parents:
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diff
changeset
|
868 if self._check_nans(other, context): |
|
45201
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parents:
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diff
changeset
|
869 return False |
|
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Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
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diff
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|
870 return self._cmp(other) == 0 |
|
32505
191796b7a054
* Add __eq__ and __ne__ so that things like list.index() work properly
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parents:
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diff
changeset
|
871 |
|
60155
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parents:
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diff
changeset
|
872 def __ne__(self, other, context=None): |
|
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parents:
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diff
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|
873 other = _convert_other(other, allow_float=True) |
|
45201
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parents:
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diff
changeset
|
874 if other is NotImplemented: |
|
f55a4f119141
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parents:
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diff
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|
875 return other |
|
60155
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Issue #7279: Make comparisons involving a Decimal sNaN signal InvalidOperation.
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parents:
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diff
changeset
|
876 if self._check_nans(other, context): |
|
45201
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
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diff
changeset
|
877 return True |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
44923
diff
changeset
|
878 return self._cmp(other) != 0 |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
44923
diff
changeset
|
879 |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
880 def __lt__(self, other, context=None): |
|
60151
1306033d8ad2
Issue #2531: Make float-to-decimal comparisons return correct results.
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parents:
58935
diff
changeset
|
881 other = _convert_other(other, allow_float=True) |
|
45201
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Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
44923
diff
changeset
|
882 if other is NotImplemented: |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
883 return other |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
44923
diff
changeset
|
884 ans = self._compare_check_nans(other, context) |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
44923
diff
changeset
|
885 if ans: |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
44923
diff
changeset
|
886 return False |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
44923
diff
changeset
|
887 return self._cmp(other) < 0 |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
888 |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
889 def __le__(self, other, context=None): |
|
60151
1306033d8ad2
Issue #2531: Make float-to-decimal comparisons return correct results.
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parents:
58935
diff
changeset
|
890 other = _convert_other(other, allow_float=True) |
|
45201
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
44923
diff
changeset
|
891 if other is NotImplemented: |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
892 return other |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
893 ans = self._compare_check_nans(other, context) |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
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diff
changeset
|
894 if ans: |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
44923
diff
changeset
|
895 return False |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
44923
diff
changeset
|
896 return self._cmp(other) <= 0 |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
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diff
changeset
|
897 |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
44923
diff
changeset
|
898 def __gt__(self, other, context=None): |
|
60151
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Mark Dickinson <dickinsm@gmail.com>
parents:
58935
diff
changeset
|
899 other = _convert_other(other, allow_float=True) |
|
45201
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
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diff
changeset
|
900 if other is NotImplemented: |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
901 return other |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
44923
diff
changeset
|
902 ans = self._compare_check_nans(other, context) |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
903 if ans: |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
904 return False |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
905 return self._cmp(other) > 0 |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
906 |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
907 def __ge__(self, other, context=None): |
|
60151
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Issue #2531: Make float-to-decimal comparisons return correct results.
Mark Dickinson <dickinsm@gmail.com>
parents:
58935
diff
changeset
|
908 other = _convert_other(other, allow_float=True) |
|
45201
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
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parents:
44923
diff
changeset
|
909 if other is NotImplemented: |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
910 return other |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
911 ans = self._compare_check_nans(other, context) |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
912 if ans: |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
913 return False |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
914 return self._cmp(other) >= 0 |
|
32505
191796b7a054
* Add __eq__ and __ne__ so that things like list.index() work properly
Raymond Hettinger <python@rcn.com>
parents:
32499
diff
changeset
|
915 |
|
32451
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Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
916 def compare(self, other, context=None): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
917 """Compares one to another. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
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diff
changeset
|
918 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
919 -1 => a < b |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
920 0 => a = b |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
921 1 => a > b |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
922 NaN => one is NaN |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
923 Like __cmp__, but returns Decimal instances. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
924 """ |
|
44600
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Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
925 other = _convert_other(other, raiseit=True) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
926 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
927 # Compare(NaN, NaN) = NaN |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
928 if (self._is_special or other and other._is_special): |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
929 ans = self._check_nans(other, context) |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
930 if ans: |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
931 return ans |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
932 |
|
45201
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
933 return Decimal(self._cmp(other)) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
934 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
935 def __hash__(self): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
936 """x.__hash__() <==> hash(x)""" |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
937 # Decimal integers must hash the same as the ints |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
938 # |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
939 # The hash of a nonspecial noninteger Decimal must depend only |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
940 # on the value of that Decimal, and not on its representation. |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
941 # For example: hash(Decimal('100E-1')) == hash(Decimal('10')). |
|
60156
17f08d65cc0d
Issue #7279: Make Decimal('nan') hashable. Decimal('snan') remains unhashable.
Mark Dickinson <dickinsm@gmail.com>
parents:
60155
diff
changeset
|
942 |
|
17f08d65cc0d
Issue #7279: Make Decimal('nan') hashable. Decimal('snan') remains unhashable.
Mark Dickinson <dickinsm@gmail.com>
parents:
60155
diff
changeset
|
943 # Equality comparisons involving signaling nans can raise an |
|
17f08d65cc0d
Issue #7279: Make Decimal('nan') hashable. Decimal('snan') remains unhashable.
Mark Dickinson <dickinsm@gmail.com>
parents:
60155
diff
changeset
|
944 # exception; since equality checks are implicitly and |
|
17f08d65cc0d
Issue #7279: Make Decimal('nan') hashable. Decimal('snan') remains unhashable.
Mark Dickinson <dickinsm@gmail.com>
parents:
60155
diff
changeset
|
945 # unpredictably used when checking set and dict membership, we |
|
17f08d65cc0d
Issue #7279: Make Decimal('nan') hashable. Decimal('snan') remains unhashable.
Mark Dickinson <dickinsm@gmail.com>
parents:
60155
diff
changeset
|
946 # prevent signaling nans from being used as set elements or |
|
17f08d65cc0d
Issue #7279: Make Decimal('nan') hashable. Decimal('snan') remains unhashable.
Mark Dickinson <dickinsm@gmail.com>
parents:
60155
diff
changeset
|
947 # dict keys by making __hash__ raise an exception. |
|
34758
50509ee96364
Bug #1163325: "special" decimals aren't hashable
Raymond Hettinger <python@rcn.com>
parents:
34638
diff
changeset
|
948 if self._is_special: |
|
60156
17f08d65cc0d
Issue #7279: Make Decimal('nan') hashable. Decimal('snan') remains unhashable.
Mark Dickinson <dickinsm@gmail.com>
parents:
60155
diff
changeset
|
949 if self.is_snan(): |
|
17f08d65cc0d
Issue #7279: Make Decimal('nan') hashable. Decimal('snan') remains unhashable.
Mark Dickinson <dickinsm@gmail.com>
parents:
60155
diff
changeset
|
950 raise TypeError('Cannot hash a signaling NaN value.') |
|
17f08d65cc0d
Issue #7279: Make Decimal('nan') hashable. Decimal('snan') remains unhashable.
Mark Dickinson <dickinsm@gmail.com>
parents:
60155
diff
changeset
|
951 elif self.is_nan(): |
|
17f08d65cc0d
Issue #7279: Make Decimal('nan') hashable. Decimal('snan') remains unhashable.
Mark Dickinson <dickinsm@gmail.com>
parents:
60155
diff
changeset
|
952 # 0 to match hash(float('nan')) |
|
17f08d65cc0d
Issue #7279: Make Decimal('nan') hashable. Decimal('snan') remains unhashable.
Mark Dickinson <dickinsm@gmail.com>
parents:
60155
diff
changeset
|
953 return 0 |
|
17f08d65cc0d
Issue #7279: Make Decimal('nan') hashable. Decimal('snan') remains unhashable.
Mark Dickinson <dickinsm@gmail.com>
parents:
60155
diff
changeset
|
954 else: |
|
17f08d65cc0d
Issue #7279: Make Decimal('nan') hashable. Decimal('snan') remains unhashable.
Mark Dickinson <dickinsm@gmail.com>
parents:
60155
diff
changeset
|
955 # values chosen to match hash(float('inf')) and |
|
17f08d65cc0d
Issue #7279: Make Decimal('nan') hashable. Decimal('snan') remains unhashable.
Mark Dickinson <dickinsm@gmail.com>
parents:
60155
diff
changeset
|
956 # hash(float('-inf')). |
|
17f08d65cc0d
Issue #7279: Make Decimal('nan') hashable. Decimal('snan') remains unhashable.
Mark Dickinson <dickinsm@gmail.com>
parents:
60155
diff
changeset
|
957 if self._sign: |
|
17f08d65cc0d
Issue #7279: Make Decimal('nan') hashable. Decimal('snan') remains unhashable.
Mark Dickinson <dickinsm@gmail.com>
parents:
60155
diff
changeset
|
958 return -271828 |
|
17f08d65cc0d
Issue #7279: Make Decimal('nan') hashable. Decimal('snan') remains unhashable.
Mark Dickinson <dickinsm@gmail.com>
parents:
60155
diff
changeset
|
959 else: |
|
17f08d65cc0d
Issue #7279: Make Decimal('nan') hashable. Decimal('snan') remains unhashable.
Mark Dickinson <dickinsm@gmail.com>
parents:
60155
diff
changeset
|
960 return 314159 |
|
60151
1306033d8ad2
Issue #2531: Make float-to-decimal comparisons return correct results.
Mark Dickinson <dickinsm@gmail.com>
parents:
58935
diff
changeset
|
961 |
|
1306033d8ad2
Issue #2531: Make float-to-decimal comparisons return correct results.
Mark Dickinson <dickinsm@gmail.com>
parents:
58935
diff
changeset
|
962 # In Python 2.7, we're allowing comparisons (but not |
|
1306033d8ad2
Issue #2531: Make float-to-decimal comparisons return correct results.
Mark Dickinson <dickinsm@gmail.com>
parents:
58935
diff
changeset
|
963 # arithmetic operations) between floats and Decimals; so if |
|
1306033d8ad2
Issue #2531: Make float-to-decimal comparisons return correct results.
Mark Dickinson <dickinsm@gmail.com>
parents:
58935
diff
changeset
|
964 # a Decimal instance is exactly representable as a float then |
|
60156
17f08d65cc0d
Issue #7279: Make Decimal('nan') hashable. Decimal('snan') remains unhashable.
Mark Dickinson <dickinsm@gmail.com>
parents:
60155
diff
changeset
|
965 # its hash should match that of the float. |
|
60151
1306033d8ad2
Issue #2531: Make float-to-decimal comparisons return correct results.
Mark Dickinson <dickinsm@gmail.com>
parents:
58935
diff
changeset
|
966 self_as_float = float(self) |
|
1306033d8ad2
Issue #2531: Make float-to-decimal comparisons return correct results.
Mark Dickinson <dickinsm@gmail.com>
parents:
58935
diff
changeset
|
967 if Decimal.from_float(self_as_float) == self: |
|
1306033d8ad2
Issue #2531: Make float-to-decimal comparisons return correct results.
Mark Dickinson <dickinsm@gmail.com>
parents:
58935
diff
changeset
|
968 return hash(self_as_float) |
|
1306033d8ad2
Issue #2531: Make float-to-decimal comparisons return correct results.
Mark Dickinson <dickinsm@gmail.com>
parents:
58935
diff
changeset
|
969 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
970 if self._isinteger(): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
971 op = _WorkRep(self.to_integral_value()) |
|
43409
357cf07a23fe
Issue #1772851. Optimization of __hash__ to behave better for big big
Facundo Batista <facundobatista@gmail.com>
parents:
43391
diff
changeset
|
972 # to make computation feasible for Decimals with large |
|
357cf07a23fe
Issue #1772851. Optimization of __hash__ to behave better for big big
Facundo Batista <facundobatista@gmail.com>
parents:
43391
diff
changeset
|
973 # exponent, we use the fact that hash(n) == hash(m) for |
|
357cf07a23fe
Issue #1772851. Optimization of __hash__ to behave better for big big
Facundo Batista <facundobatista@gmail.com>
parents:
43391
diff
changeset
|
974 # any two nonzero integers n and m such that (i) n and m |
|
357cf07a23fe
Issue #1772851. Optimization of __hash__ to behave better for big big
Facundo Batista <facundobatista@gmail.com>
parents:
43391
diff
changeset
|
975 # have the same sign, and (ii) n is congruent to m modulo |
|
357cf07a23fe
Issue #1772851. Optimization of __hash__ to behave better for big big
Facundo Batista <facundobatista@gmail.com>
parents:
43391
diff
changeset
|
976 # 2**64-1. So we can replace hash((-1)**s*c*10**e) with |
|
357cf07a23fe
Issue #1772851. Optimization of __hash__ to behave better for big big
Facundo Batista <facundobatista@gmail.com>
parents:
43391
diff
changeset
|
977 # hash((-1)**s*c*pow(10, e, 2**64-1). |
|
357cf07a23fe
Issue #1772851. Optimization of __hash__ to behave better for big big
Facundo Batista <facundobatista@gmail.com>
parents:
43391
diff
changeset
|
978 return hash((-1)**op.sign*op.int*pow(10, op.exp, 2**64-1)) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
979 # The value of a nonzero nonspecial Decimal instance is |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
980 # faithfully represented by the triple consisting of its sign, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
981 # its adjusted exponent, and its coefficient with trailing |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
982 # zeros removed. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
983 return hash((self._sign, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
984 self._exp+len(self._int), |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
985 self._int.rstrip('0'))) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
986 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
987 def as_tuple(self): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
988 """Represents the number as a triple tuple. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
989 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
990 To show the internals exactly as they are. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
991 """ |
|
44631
3cd9b877eae0
Have Decimal.as_tuple return a named tuple.
Raymond Hettinger <python@rcn.com>
parents:
44593
diff
changeset
|
992 return DecimalTuple(self._sign, tuple(map(int, self._int)), self._exp) |
|
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Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
993 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
994 def __repr__(self): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
995 """Represents the number as an instance of Decimal.""" |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
996 # Invariant: eval(repr(d)) == d |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
997 return "Decimal('%s')" % str(self) |
|
32451
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Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
998 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
999 def __str__(self, eng=False, context=None): |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1000 """Return string representation of the number in scientific notation. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1001 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1002 Captures all of the information in the underlying representation. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1003 """ |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1004 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1005 sign = ['', '-'][self._sign] |
|
35113
adf189eb4f58
Apply the _is_special guard.
Raymond Hettinger <python@rcn.com>
parents:
35035
diff
changeset
|
1006 if self._is_special: |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1007 if self._exp == 'F': |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1008 return sign + 'Infinity' |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1009 elif self._exp == 'n': |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1010 return sign + 'NaN' + self._int |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1011 else: # self._exp == 'N' |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1012 return sign + 'sNaN' + self._int |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1013 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1014 # number of digits of self._int to left of decimal point |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1015 leftdigits = self._exp + len(self._int) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1016 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1017 # dotplace is number of digits of self._int to the left of the |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1018 # decimal point in the mantissa of the output string (that is, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1019 # after adjusting the exponent) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1020 if self._exp <= 0 and leftdigits > -6: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1021 # no exponent required |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1022 dotplace = leftdigits |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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|
1023 elif not eng: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1024 # usual scientific notation: 1 digit on left of the point |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1025 dotplace = 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1026 elif self._int == '0': |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1027 # engineering notation, zero |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1028 dotplace = (leftdigits + 1) % 3 - 1 |
|
32451
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changeset
|
1029 else: |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1030 # engineering notation, nonzero |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1031 dotplace = (leftdigits - 1) % 3 + 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1032 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1033 if dotplace <= 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1034 intpart = '0' |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1035 fracpart = '.' + '0'*(-dotplace) + self._int |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1036 elif dotplace >= len(self._int): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1037 intpart = self._int+'0'*(dotplace-len(self._int)) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1038 fracpart = '' |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1039 else: |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1040 intpart = self._int[:dotplace] |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1041 fracpart = '.' + self._int[dotplace:] |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1042 if leftdigits == dotplace: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1043 exp = '' |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1044 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1045 if context is None: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1046 context = getcontext() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1047 exp = ['e', 'E'][context.capitals] + "%+d" % (leftdigits-dotplace) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1048 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1049 return sign + intpart + fracpart + exp |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1050 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1051 def to_eng_string(self, context=None): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1052 """Convert to engineering-type string. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1053 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1054 Engineering notation has an exponent which is a multiple of 3, so there |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1055 are up to 3 digits left of the decimal place. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1056 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1057 Same rules for when in exponential and when as a value as in __str__. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1058 """ |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1059 return self.__str__(eng=True, context=context) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1060 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1061 def __neg__(self, context=None): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1062 """Returns a copy with the sign switched. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1063 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1064 Rounds, if it has reason. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1065 """ |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1066 if self._is_special: |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1067 ans = self._check_nans(context=context) |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1068 if ans: |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1069 return ans |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1070 |
|
68394
d5fe8b33f711
Issue 11131: Fix sign of zero result on plus and minus operations in ROUND_FLOOR rounding mode.
Mark Dickinson <mdickinson@enthought.com>
parents:
68256
diff
changeset
|
1071 if context is None: |
|
d5fe8b33f711
Issue 11131: Fix sign of zero result on plus and minus operations in ROUND_FLOOR rounding mode.
Mark Dickinson <mdickinson@enthought.com>
parents:
68256
diff
changeset
|
1072 context = getcontext() |
|
d5fe8b33f711
Issue 11131: Fix sign of zero result on plus and minus operations in ROUND_FLOOR rounding mode.
Mark Dickinson <mdickinson@enthought.com>
parents:
68256
diff
changeset
|
1073 |
|
d5fe8b33f711
Issue 11131: Fix sign of zero result on plus and minus operations in ROUND_FLOOR rounding mode.
Mark Dickinson <mdickinson@enthought.com>
parents:
68256
diff
changeset
|
1074 if not self and context.rounding != ROUND_FLOOR: |
|
d5fe8b33f711
Issue 11131: Fix sign of zero result on plus and minus operations in ROUND_FLOOR rounding mode.
Mark Dickinson <mdickinson@enthought.com>
parents:
68256
diff
changeset
|
1075 # -Decimal('0') is Decimal('0'), not Decimal('-0'), except |
|
d5fe8b33f711
Issue 11131: Fix sign of zero result on plus and minus operations in ROUND_FLOOR rounding mode.
Mark Dickinson <mdickinson@enthought.com>
parents:
68256
diff
changeset
|
1076 # in ROUND_FLOOR rounding mode. |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1077 ans = self.copy_abs() |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1078 else: |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1079 ans = self.copy_negate() |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1080 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1081 return ans._fix(context) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1082 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1083 def __pos__(self, context=None): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1084 """Returns a copy, unless it is a sNaN. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1085 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1086 Rounds the number (if more then precision digits) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1087 """ |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1088 if self._is_special: |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1089 ans = self._check_nans(context=context) |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1090 if ans: |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1091 return ans |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1092 |
|
68394
d5fe8b33f711
Issue 11131: Fix sign of zero result on plus and minus operations in ROUND_FLOOR rounding mode.
Mark Dickinson <mdickinson@enthought.com>
parents:
68256
diff
changeset
|
1093 if context is None: |
|
d5fe8b33f711
Issue 11131: Fix sign of zero result on plus and minus operations in ROUND_FLOOR rounding mode.
Mark Dickinson <mdickinson@enthought.com>
parents:
68256
diff
changeset
|
1094 context = getcontext() |
|
d5fe8b33f711
Issue 11131: Fix sign of zero result on plus and minus operations in ROUND_FLOOR rounding mode.
Mark Dickinson <mdickinson@enthought.com>
parents:
68256
diff
changeset
|
1095 |
|
d5fe8b33f711
Issue 11131: Fix sign of zero result on plus and minus operations in ROUND_FLOOR rounding mode.
Mark Dickinson <mdickinson@enthought.com>
parents:
68256
diff
changeset
|
1096 if not self and context.rounding != ROUND_FLOOR: |
|
d5fe8b33f711
Issue 11131: Fix sign of zero result on plus and minus operations in ROUND_FLOOR rounding mode.
Mark Dickinson <mdickinson@enthought.com>
parents:
68256
diff
changeset
|
1097 # + (-0) = 0, except in ROUND_FLOOR rounding mode. |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1098 ans = self.copy_abs() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1099 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1100 ans = Decimal(self) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1101 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1102 return ans._fix(context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1103 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1104 def __abs__(self, round=True, context=None): |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1105 """Returns the absolute value of self. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1106 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1107 If the keyword argument 'round' is false, do not round. The |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1108 expression self.__abs__(round=False) is equivalent to |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1109 self.copy_abs(). |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1110 """ |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1111 if not round: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1112 return self.copy_abs() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1113 |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1114 if self._is_special: |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1115 ans = self._check_nans(context=context) |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1116 if ans: |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1117 return ans |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1118 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1119 if self._sign: |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1120 ans = self.__neg__(context=context) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1121 else: |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1122 ans = self.__pos__(context=context) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1123 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1124 return ans |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1125 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1126 def __add__(self, other, context=None): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1127 """Returns self + other. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1128 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1129 -INF + INF (or the reverse) cause InvalidOperation errors. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1130 """ |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1131 other = _convert_other(other) |
|
34812
b016236dfbd9
* Fix decimal's handling of foreign types. Now returns NotImplemented
Raymond Hettinger <python@rcn.com>
parents:
34758
diff
changeset
|
1132 if other is NotImplemented: |
|
b016236dfbd9
* Fix decimal's handling of foreign types. Now returns NotImplemented
Raymond Hettinger <python@rcn.com>
parents:
34758
diff
changeset
|
1133 return other |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1134 |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1135 if context is None: |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1136 context = getcontext() |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1137 |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1138 if self._is_special or other._is_special: |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1139 ans = self._check_nans(other, context) |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1140 if ans: |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1141 return ans |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1142 |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1143 if self._isinfinity(): |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1144 # If both INF, same sign => same as both, opposite => error. |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1145 if self._sign != other._sign and other._isinfinity(): |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1146 return context._raise_error(InvalidOperation, '-INF + INF') |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1147 return Decimal(self) |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1148 if other._isinfinity(): |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1149 return Decimal(other) # Can't both be infinity here |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1150 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1151 exp = min(self._exp, other._exp) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1152 negativezero = 0 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1153 if context.rounding == ROUND_FLOOR and self._sign != other._sign: |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1154 # If the answer is 0, the sign should be negative, in this case. |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1155 negativezero = 1 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1156 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1157 if not self and not other: |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1158 sign = min(self._sign, other._sign) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1159 if negativezero: |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1160 sign = 1 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1161 ans = _dec_from_triple(sign, '0', exp) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1162 ans = ans._fix(context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1163 return ans |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1164 if not self: |
|
33845
032f342efcd2
Very few little improvements.
Facundo Batista <facundobatista@gmail.com>
parents:
33803
diff
changeset
|
1165 exp = max(exp, other._exp - context.prec-1) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1166 ans = other._rescale(exp, context.rounding) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1167 ans = ans._fix(context) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1168 return ans |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1169 if not other: |
|
33845
032f342efcd2
Very few little improvements.
Facundo Batista <facundobatista@gmail.com>
parents:
33803
diff
changeset
|
1170 exp = max(exp, self._exp - context.prec-1) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1171 ans = self._rescale(exp, context.rounding) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1172 ans = ans._fix(context) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1173 return ans |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1174 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1175 op1 = _WorkRep(self) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1176 op2 = _WorkRep(other) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1177 op1, op2 = _normalize(op1, op2, context.prec) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1178 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1179 result = _WorkRep() |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1180 if op1.sign != op2.sign: |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1181 # Equal and opposite |
| 33851 | 1182 if op1.int == op2.int: |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1183 ans = _dec_from_triple(negativezero, '0', exp) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1184 ans = ans._fix(context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1185 return ans |
| 33851 | 1186 if op1.int < op2.int: |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1187 op1, op2 = op2, op1 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1188 # OK, now abs(op1) > abs(op2) |
| 33851 | 1189 if op1.sign == 1: |
| 1190 result.sign = 1 | |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1191 op1.sign, op2.sign = op2.sign, op1.sign |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1192 else: |
| 33851 | 1193 result.sign = 0 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1194 # So we know the sign, and op1 > 0. |
| 33851 | 1195 elif op1.sign == 1: |
| 1196 result.sign = 1 | |
| 1197 op1.sign, op2.sign = (0, 0) | |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1198 else: |
| 33851 | 1199 result.sign = 0 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1200 # Now, op1 > abs(op2) > 0 |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1201 |
| 33851 | 1202 if op2.sign == 0: |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1203 result.int = op1.int + op2.int |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1204 else: |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1205 result.int = op1.int - op2.int |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1206 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1207 result.exp = op1.exp |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1208 ans = Decimal(result) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1209 ans = ans._fix(context) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1210 return ans |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1211 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1212 __radd__ = __add__ |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1213 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1214 def __sub__(self, other, context=None): |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1215 """Return self - other""" |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1216 other = _convert_other(other) |
|
34812
b016236dfbd9
* Fix decimal's handling of foreign types. Now returns NotImplemented
Raymond Hettinger <python@rcn.com>
parents:
34758
diff
changeset
|
1217 if other is NotImplemented: |
|
b016236dfbd9
* Fix decimal's handling of foreign types. Now returns NotImplemented
Raymond Hettinger <python@rcn.com>
parents:
34758
diff
changeset
|
1218 return other |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1219 |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1220 if self._is_special or other._is_special: |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1221 ans = self._check_nans(other, context=context) |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1222 if ans: |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1223 return ans |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1224 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1225 # self - other is computed as self + other.copy_negate() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1226 return self.__add__(other.copy_negate(), context=context) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1227 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1228 def __rsub__(self, other, context=None): |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1229 """Return other - self""" |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1230 other = _convert_other(other) |
|
34812
b016236dfbd9
* Fix decimal's handling of foreign types. Now returns NotImplemented
Raymond Hettinger <python@rcn.com>
parents:
34758
diff
changeset
|
1231 if other is NotImplemented: |
|
b016236dfbd9
* Fix decimal's handling of foreign types. Now returns NotImplemented
Raymond Hettinger <python@rcn.com>
parents:
34758
diff
changeset
|
1232 return other |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1233 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1234 return other.__sub__(self, context=context) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1235 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1236 def __mul__(self, other, context=None): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1237 """Return self * other. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1238 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1239 (+-) INF * 0 (or its reverse) raise InvalidOperation. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1240 """ |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1241 other = _convert_other(other) |
|
34812
b016236dfbd9
* Fix decimal's handling of foreign types. Now returns NotImplemented
Raymond Hettinger <python@rcn.com>
parents:
34758
diff
changeset
|
1242 if other is NotImplemented: |
|
b016236dfbd9
* Fix decimal's handling of foreign types. Now returns NotImplemented
Raymond Hettinger <python@rcn.com>
parents:
34758
diff
changeset
|
1243 return other |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1244 |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1245 if context is None: |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1246 context = getcontext() |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1247 |
|
32561
6f351b1bcf53
* Update the test suite to reflect that ConversionSyntax was no longer
Raymond Hettinger <python@rcn.com>
parents:
32560
diff
changeset
|
1248 resultsign = self._sign ^ other._sign |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1249 |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1250 if self._is_special or other._is_special: |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1251 ans = self._check_nans(other, context) |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1252 if ans: |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1253 return ans |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1254 |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1255 if self._isinfinity(): |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1256 if not other: |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1257 return context._raise_error(InvalidOperation, '(+-)INF * 0') |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
1258 return _SignedInfinity[resultsign] |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1259 |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1260 if other._isinfinity(): |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1261 if not self: |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1262 return context._raise_error(InvalidOperation, '0 * (+-)INF') |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
1263 return _SignedInfinity[resultsign] |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1264 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1265 resultexp = self._exp + other._exp |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1266 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1267 # Special case for multiplying by zero |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1268 if not self or not other: |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1269 ans = _dec_from_triple(resultsign, '0', resultexp) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1270 # Fixing in case the exponent is out of bounds |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1271 ans = ans._fix(context) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1272 return ans |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1273 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1274 # Special case for multiplying by power of 10 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1275 if self._int == '1': |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1276 ans = _dec_from_triple(resultsign, other._int, resultexp) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1277 ans = ans._fix(context) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1278 return ans |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1279 if other._int == '1': |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1280 ans = _dec_from_triple(resultsign, self._int, resultexp) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1281 ans = ans._fix(context) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1282 return ans |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1283 |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
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33198
diff
changeset
|
1284 op1 = _WorkRep(self) |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
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parents:
33198
diff
changeset
|
1285 op2 = _WorkRep(other) |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1286 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1287 ans = _dec_from_triple(resultsign, str(op1.int * op2.int), resultexp) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1288 ans = ans._fix(context) |
|
32451
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Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1289 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1290 return ans |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1291 __rmul__ = __mul__ |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1292 |
|
46651
c97e36abcdd5
Some very minor changes to decimal.py in Python 2.6, aimed
Mark Dickinson <dickinsm@gmail.com>
parents:
46643
diff
changeset
|
1293 def __truediv__(self, other, context=None): |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1294 """Return self / other.""" |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1295 other = _convert_other(other) |
|
34812
b016236dfbd9
* Fix decimal's handling of foreign types. Now returns NotImplemented
Raymond Hettinger <python@rcn.com>
parents:
34758
diff
changeset
|
1296 if other is NotImplemented: |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1297 return NotImplemented |
|
33519
139a4012bead
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Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1298 |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1299 if context is None: |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1300 context = getcontext() |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1301 |
|
32561
6f351b1bcf53
* Update the test suite to reflect that ConversionSyntax was no longer
Raymond Hettinger <python@rcn.com>
parents:
32560
diff
changeset
|
1302 sign = self._sign ^ other._sign |
|
33519
139a4012bead
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Raymond Hettinger <python@rcn.com>
parents:
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diff
changeset
|
1303 |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
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parents:
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diff
changeset
|
1304 if self._is_special or other._is_special: |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1305 ans = self._check_nans(other, context) |
|
139a4012bead
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parents:
33198
diff
changeset
|
1306 if ans: |
|
139a4012bead
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parents:
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diff
changeset
|
1307 return ans |
|
139a4012bead
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parents:
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diff
changeset
|
1308 |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
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parents:
33198
diff
changeset
|
1309 if self._isinfinity() and other._isinfinity(): |
|
32451
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Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1310 return context._raise_error(InvalidOperation, '(+-)INF/(+-)INF') |
|
33519
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SF patch #1020845: Decimal performance enhancements
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parents:
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diff
changeset
|
1311 |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1312 if self._isinfinity(): |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
1313 return _SignedInfinity[sign] |
|
33519
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Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1314 |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
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parents:
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diff
changeset
|
1315 if other._isinfinity(): |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
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parents:
33198
diff
changeset
|
1316 context._raise_error(Clamped, 'Division by infinity') |
|
44600
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Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
1317 return _dec_from_triple(sign, '0', context.Etiny()) |
|
33519
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parents:
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diff
changeset
|
1318 |
|
139a4012bead
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parents:
33198
diff
changeset
|
1319 # Special cases for zeroes |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1320 if not other: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1321 if not self: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1322 return context._raise_error(DivisionUndefined, '0 / 0') |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1323 return context._raise_error(DivisionByZero, 'x / 0', sign) |
|
33519
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parents:
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diff
changeset
|
1324 |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
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parents:
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diff
changeset
|
1325 if not self: |
|
139a4012bead
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parents:
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diff
changeset
|
1326 exp = self._exp - other._exp |
|
44600
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Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1327 coeff = 0 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1328 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1329 # OK, so neither = 0, INF or NaN |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1330 shift = len(other._int) - len(self._int) + context.prec + 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1331 exp = self._exp - other._exp - shift |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1332 op1 = _WorkRep(self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1333 op2 = _WorkRep(other) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1334 if shift >= 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1335 coeff, remainder = divmod(op1.int * 10**shift, op2.int) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1336 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1337 coeff, remainder = divmod(op1.int, op2.int * 10**-shift) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1338 if remainder: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1339 # result is not exact; adjust to ensure correct rounding |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1340 if coeff % 5 == 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1341 coeff += 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1342 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1343 # result is exact; get as close to ideal exponent as possible |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1344 ideal_exp = self._exp - other._exp |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1345 while exp < ideal_exp and coeff % 10 == 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
1346 coeff //= 10 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1347 exp += 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1348 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1349 ans = _dec_from_triple(sign, str(coeff), exp) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1350 return ans._fix(context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1351 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1352 def _divide(self, other, context): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1353 """Return (self // other, self % other), to context.prec precision. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1354 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
1355 Assumes that neither self nor other is a NaN, that self is not |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
1356 infinite and that other is nonzero. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
1357 """ |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
1358 sign = self._sign ^ other._sign |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1359 if other._isinfinity(): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1360 ideal_exp = self._exp |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
1361 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1362 ideal_exp = min(self._exp, other._exp) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
1363 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1364 expdiff = self.adjusted() - other.adjusted() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1365 if not self or other._isinfinity() or expdiff <= -2: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1366 return (_dec_from_triple(sign, '0', 0), |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1367 self._rescale(ideal_exp, context.rounding)) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
1368 if expdiff <= context.prec: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
40769
diff
changeset
|
1369 op1 = _WorkRep(self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1370 op2 = _WorkRep(other) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1371 if op1.exp >= op2.exp: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1372 op1.int *= 10**(op1.exp - op2.exp) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1373 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1374 op2.int *= 10**(op2.exp - op1.exp) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1375 q, r = divmod(op1.int, op2.int) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1376 if q < 10**context.prec: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
1377 return (_dec_from_triple(sign, str(q), 0), |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
1378 _dec_from_triple(self._sign, str(r), ideal_exp)) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
1379 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1380 # Here the quotient is too large to be representable |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1381 ans = context._raise_error(DivisionImpossible, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1382 'quotient too large in //, % or divmod') |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1383 return ans, ans |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1384 |
|
46651
c97e36abcdd5
Some very minor changes to decimal.py in Python 2.6, aimed
Mark Dickinson <dickinsm@gmail.com>
parents:
46643
diff
changeset
|
1385 def __rtruediv__(self, other, context=None): |
|
c97e36abcdd5
Some very minor changes to decimal.py in Python 2.6, aimed
Mark Dickinson <dickinsm@gmail.com>
parents:
46643
diff
changeset
|
1386 """Swaps self/other and returns __truediv__.""" |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1387 other = _convert_other(other) |
|
34812
b016236dfbd9
* Fix decimal's handling of foreign types. Now returns NotImplemented
Raymond Hettinger <python@rcn.com>
parents:
34758
diff
changeset
|
1388 if other is NotImplemented: |
|
b016236dfbd9
* Fix decimal's handling of foreign types. Now returns NotImplemented
Raymond Hettinger <python@rcn.com>
parents:
34758
diff
changeset
|
1389 return other |
|
46651
c97e36abcdd5
Some very minor changes to decimal.py in Python 2.6, aimed
Mark Dickinson <dickinsm@gmail.com>
parents:
46643
diff
changeset
|
1390 return other.__truediv__(self, context=context) |
|
c97e36abcdd5
Some very minor changes to decimal.py in Python 2.6, aimed
Mark Dickinson <dickinsm@gmail.com>
parents:
46643
diff
changeset
|
1391 |
|
c97e36abcdd5
Some very minor changes to decimal.py in Python 2.6, aimed
Mark Dickinson <dickinsm@gmail.com>
parents:
46643
diff
changeset
|
1392 __div__ = __truediv__ |
|
c97e36abcdd5
Some very minor changes to decimal.py in Python 2.6, aimed
Mark Dickinson <dickinsm@gmail.com>
parents:
46643
diff
changeset
|
1393 __rdiv__ = __rtruediv__ |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1394 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1395 def __divmod__(self, other, context=None): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1396 """ |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1397 Return (self // other, self % other) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1398 """ |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1399 other = _convert_other(other) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1400 if other is NotImplemented: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1401 return other |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1402 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1403 if context is None: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1404 context = getcontext() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1405 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1406 ans = self._check_nans(other, context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1407 if ans: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1408 return (ans, ans) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1409 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1410 sign = self._sign ^ other._sign |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1411 if self._isinfinity(): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1412 if other._isinfinity(): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1413 ans = context._raise_error(InvalidOperation, 'divmod(INF, INF)') |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1414 return ans, ans |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1415 else: |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
1416 return (_SignedInfinity[sign], |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1417 context._raise_error(InvalidOperation, 'INF % x')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1418 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1419 if not other: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1420 if not self: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1421 ans = context._raise_error(DivisionUndefined, 'divmod(0, 0)') |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1422 return ans, ans |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1423 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1424 return (context._raise_error(DivisionByZero, 'x // 0', sign), |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1425 context._raise_error(InvalidOperation, 'x % 0')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1426 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1427 quotient, remainder = self._divide(other, context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1428 remainder = remainder._fix(context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1429 return quotient, remainder |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1430 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1431 def __rdivmod__(self, other, context=None): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1432 """Swaps self/other and returns __divmod__.""" |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1433 other = _convert_other(other) |
|
34812
b016236dfbd9
* Fix decimal's handling of foreign types. Now returns NotImplemented
Raymond Hettinger <python@rcn.com>
parents:
34758
diff
changeset
|
1434 if other is NotImplemented: |
|
b016236dfbd9
* Fix decimal's handling of foreign types. Now returns NotImplemented
Raymond Hettinger <python@rcn.com>
parents:
34758
diff
changeset
|
1435 return other |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1436 return other.__divmod__(self, context=context) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1437 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1438 def __mod__(self, other, context=None): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1439 """ |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1440 self % other |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1441 """ |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1442 other = _convert_other(other) |
|
34812
b016236dfbd9
* Fix decimal's handling of foreign types. Now returns NotImplemented
Raymond Hettinger <python@rcn.com>
parents:
34758
diff
changeset
|
1443 if other is NotImplemented: |
|
b016236dfbd9
* Fix decimal's handling of foreign types. Now returns NotImplemented
Raymond Hettinger <python@rcn.com>
parents:
34758
diff
changeset
|
1444 return other |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1445 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1446 if context is None: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1447 context = getcontext() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1448 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1449 ans = self._check_nans(other, context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1450 if ans: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1451 return ans |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1452 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1453 if self._isinfinity(): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1454 return context._raise_error(InvalidOperation, 'INF % x') |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1455 elif not other: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1456 if self: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1457 return context._raise_error(InvalidOperation, 'x % 0') |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1458 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1459 return context._raise_error(DivisionUndefined, '0 % 0') |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1460 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1461 remainder = self._divide(other, context)[1] |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1462 remainder = remainder._fix(context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1463 return remainder |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1464 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1465 def __rmod__(self, other, context=None): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1466 """Swaps self/other and returns __mod__.""" |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1467 other = _convert_other(other) |
|
34812
b016236dfbd9
* Fix decimal's handling of foreign types. Now returns NotImplemented
Raymond Hettinger <python@rcn.com>
parents:
34758
diff
changeset
|
1468 if other is NotImplemented: |
|
b016236dfbd9
* Fix decimal's handling of foreign types. Now returns NotImplemented
Raymond Hettinger <python@rcn.com>
parents:
34758
diff
changeset
|
1469 return other |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1470 return other.__mod__(self, context=context) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1471 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1472 def remainder_near(self, other, context=None): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1473 """ |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1474 Remainder nearest to 0- abs(remainder-near) <= other/2 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1475 """ |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1476 if context is None: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1477 context = getcontext() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1478 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1479 other = _convert_other(other, raiseit=True) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1480 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1481 ans = self._check_nans(other, context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1482 if ans: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1483 return ans |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1484 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1485 # self == +/-infinity -> InvalidOperation |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1486 if self._isinfinity(): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1487 return context._raise_error(InvalidOperation, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1488 'remainder_near(infinity, x)') |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1489 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1490 # other == 0 -> either InvalidOperation or DivisionUndefined |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1491 if not other: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1492 if self: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1493 return context._raise_error(InvalidOperation, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1494 'remainder_near(x, 0)') |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1495 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1496 return context._raise_error(DivisionUndefined, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1497 'remainder_near(0, 0)') |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1498 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1499 # other = +/-infinity -> remainder = self |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1500 if other._isinfinity(): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1501 ans = Decimal(self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1502 return ans._fix(context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1503 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1504 # self = 0 -> remainder = self, with ideal exponent |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1505 ideal_exponent = min(self._exp, other._exp) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1506 if not self: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1507 ans = _dec_from_triple(self._sign, '0', ideal_exponent) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1508 return ans._fix(context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1509 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1510 # catch most cases of large or small quotient |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1511 expdiff = self.adjusted() - other.adjusted() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1512 if expdiff >= context.prec + 1: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1513 # expdiff >= prec+1 => abs(self/other) > 10**prec |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1514 return context._raise_error(DivisionImpossible) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1515 if expdiff <= -2: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1516 # expdiff <= -2 => abs(self/other) < 0.1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1517 ans = self._rescale(ideal_exponent, context.rounding) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1518 return ans._fix(context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1519 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1520 # adjust both arguments to have the same exponent, then divide |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1521 op1 = _WorkRep(self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1522 op2 = _WorkRep(other) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1523 if op1.exp >= op2.exp: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1524 op1.int *= 10**(op1.exp - op2.exp) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1525 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1526 op2.int *= 10**(op2.exp - op1.exp) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1527 q, r = divmod(op1.int, op2.int) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1528 # remainder is r*10**ideal_exponent; other is +/-op2.int * |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1529 # 10**ideal_exponent. Apply correction to ensure that |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1530 # abs(remainder) <= abs(other)/2 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1531 if 2*r + (q&1) > op2.int: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1532 r -= op2.int |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1533 q += 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1534 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1535 if q >= 10**context.prec: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1536 return context._raise_error(DivisionImpossible) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1537 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1538 # result has same sign as self unless r is negative |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1539 sign = self._sign |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1540 if r < 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1541 sign = 1-sign |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1542 r = -r |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1543 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1544 ans = _dec_from_triple(sign, str(r), ideal_exponent) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1545 return ans._fix(context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1546 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1547 def __floordiv__(self, other, context=None): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1548 """self // other""" |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1549 other = _convert_other(other) |
|
34812
b016236dfbd9
* Fix decimal's handling of foreign types. Now returns NotImplemented
Raymond Hettinger <python@rcn.com>
parents:
34758
diff
changeset
|
1550 if other is NotImplemented: |
|
b016236dfbd9
* Fix decimal's handling of foreign types. Now returns NotImplemented
Raymond Hettinger <python@rcn.com>
parents:
34758
diff
changeset
|
1551 return other |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1552 |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1553 if context is None: |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1554 context = getcontext() |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1555 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1556 ans = self._check_nans(other, context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1557 if ans: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1558 return ans |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1559 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1560 if self._isinfinity(): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1561 if other._isinfinity(): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1562 return context._raise_error(InvalidOperation, 'INF // INF') |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1563 else: |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
1564 return _SignedInfinity[self._sign ^ other._sign] |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1565 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1566 if not other: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1567 if self: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1568 return context._raise_error(DivisionByZero, 'x // 0', |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1569 self._sign ^ other._sign) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1570 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1571 return context._raise_error(DivisionUndefined, '0 // 0') |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1572 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1573 return self._divide(other, context)[0] |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1574 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1575 def __rfloordiv__(self, other, context=None): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1576 """Swaps self/other and returns __floordiv__.""" |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1577 other = _convert_other(other) |
|
34812
b016236dfbd9
* Fix decimal's handling of foreign types. Now returns NotImplemented
Raymond Hettinger <python@rcn.com>
parents:
34758
diff
changeset
|
1578 if other is NotImplemented: |
|
b016236dfbd9
* Fix decimal's handling of foreign types. Now returns NotImplemented
Raymond Hettinger <python@rcn.com>
parents:
34758
diff
changeset
|
1579 return other |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1580 return other.__floordiv__(self, context=context) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1581 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1582 def __float__(self): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1583 """Float representation.""" |
|
78754
5dd5f824428c
Issue #15544: Fix Decimal.__float__ to work with payload-carrying NaNs.
Mark Dickinson <mdickinson@enthought.com>
parents:
72067
diff
changeset
|
1584 if self._isnan(): |
|
5dd5f824428c
Issue #15544: Fix Decimal.__float__ to work with payload-carrying NaNs.
Mark Dickinson <mdickinson@enthought.com>
parents:
72067
diff
changeset
|
1585 if self.is_snan(): |
|
5dd5f824428c
Issue #15544: Fix Decimal.__float__ to work with payload-carrying NaNs.
Mark Dickinson <mdickinson@enthought.com>
parents:
72067
diff
changeset
|
1586 raise ValueError("Cannot convert signaling NaN to float") |
|
5dd5f824428c
Issue #15544: Fix Decimal.__float__ to work with payload-carrying NaNs.
Mark Dickinson <mdickinson@enthought.com>
parents:
72067
diff
changeset
|
1587 s = "-nan" if self._sign else "nan" |
|
5dd5f824428c
Issue #15544: Fix Decimal.__float__ to work with payload-carrying NaNs.
Mark Dickinson <mdickinson@enthought.com>
parents:
72067
diff
changeset
|
1588 else: |
|
5dd5f824428c
Issue #15544: Fix Decimal.__float__ to work with payload-carrying NaNs.
Mark Dickinson <mdickinson@enthought.com>
parents:
72067
diff
changeset
|
1589 s = str(self) |
|
5dd5f824428c
Issue #15544: Fix Decimal.__float__ to work with payload-carrying NaNs.
Mark Dickinson <mdickinson@enthought.com>
parents:
72067
diff
changeset
|
1590 return float(s) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1591 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
1592 def __int__(self): |
|
34638
4a0c202ee789
Fix small grammatical error in a docstring.
Brett Cannon <bcannon@gmail.com>
parents:
34545
diff
changeset
|
1593 """Converts self to an int, truncating if necessary.""" |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1594 if self._is_special: |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1595 if self._isnan(): |
|
55886
fc9a00799795
Merged revisions 74708 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
55874
diff
changeset
|
1596 raise ValueError("Cannot convert NaN to integer") |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
1597 elif self._isinfinity(): |
|
55886
fc9a00799795
Merged revisions 74708 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
55874
diff
changeset
|
1598 raise OverflowError("Cannot convert infinity to integer") |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1599 s = (-1)**self._sign |
|
34023
a8ff6ed856e8
SF bug #1071588 coercing decimal to int doesn't work between -1 and 1
Raymond Hettinger <python@rcn.com>
parents:
33851
diff
changeset
|
1600 if self._exp >= 0: |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
1601 return s*int(self._int)*10**self._exp |
|
34023
a8ff6ed856e8
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Raymond Hettinger <python@rcn.com>
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33851
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|
1602 else: |
|
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diff
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|
1603 return s*int(self._int[:self._exp] or '0') |
|
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|
1604 |
|
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diff
changeset
|
1605 __trunc__ = __int__ |
|
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Add support for trunc().
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parents:
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diff
changeset
|
1606 |
|
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diff
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|
1607 def real(self): |
|
4ca70663a79d
Bring decimal a bit closer to the spec for Reals.
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parents:
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diff
changeset
|
1608 return self |
|
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|
1609 real = property(real) |
|
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|
1610 |
|
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|
1611 def imag(self): |
|
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Bring decimal a bit closer to the spec for Reals.
Raymond Hettinger <python@rcn.com>
parents:
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changeset
|
1612 return Decimal(0) |
|
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changeset
|
1613 imag = property(imag) |
|
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|
1614 |
|
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changeset
|
1615 def conjugate(self): |
|
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Bring decimal a bit closer to the spec for Reals.
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parents:
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|
1616 return self |
|
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|
1617 |
|
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changeset
|
1618 def __complex__(self): |
|
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|
1619 return complex(float(self)) |
|
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|
1620 |
|
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parents:
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|
1621 def __long__(self): |
|
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Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
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|
1622 """Converts to a long. |
|
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|
1623 |
|
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|
1624 Equivalent to long(int(self)) |
|
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|
1625 """ |
|
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parents:
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|
1626 return long(self.__int__()) |
|
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parents:
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|
1627 |
|
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|
1628 def _fix_nan(self, context): |
|
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|
1629 """Decapitate the payload of a NaN to fit the context""" |
|
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|
1630 payload = self._int |
|
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|
1631 |
|
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|
1632 # maximum length of payload is precision if _clamp=0, |
|
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changeset
|
1633 # precision-1 if _clamp=1. |
|
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changeset
|
1634 max_payload_len = context.prec - context._clamp |
|
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changeset
|
1635 if len(payload) > max_payload_len: |
|
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changeset
|
1636 payload = payload[len(payload)-max_payload_len:].lstrip('0') |
|
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changeset
|
1637 return _dec_from_triple(self._sign, payload, self._exp, True) |
|
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|
1638 return Decimal(self) |
|
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|
1639 |
| 33695 | 1640 def _fix(self, context): |
|
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|
1641 """Round if it is necessary to keep self within prec precision. |
|
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|
1642 |
|
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|
1643 Rounds and fixes the exponent. Does not raise on a sNaN. |
|
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|
1644 |
|
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|
1645 Arguments: |
|
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|
1646 self - Decimal instance |
|
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|
1647 context - context used. |
|
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|
1648 """ |
|
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|
1649 |
|
33519
139a4012bead
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parents:
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|
1650 if self._is_special: |
|
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changeset
|
1651 if self._isnan(): |
|
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changeset
|
1652 # decapitate payload if necessary |
|
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|
1653 return self._fix_nan(context) |
|
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|
1654 else: |
|
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parents:
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changeset
|
1655 # self is +/-Infinity; return unaltered |
|
9a60bd8f00d6
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changeset
|
1656 return Decimal(self) |
|
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parents:
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changeset
|
1657 |
|
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diff
changeset
|
1658 # if self is zero then exponent should be between Etiny and |
|
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changeset
|
1659 # Emax if _clamp==0, and between Etiny and Etop if _clamp==1. |
|
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changeset
|
1660 Etiny = context.Etiny() |
|
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changeset
|
1661 Etop = context.Etop() |
|
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changeset
|
1662 if not self: |
|
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changeset
|
1663 exp_max = [context.Emax, Etop][context._clamp] |
|
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changeset
|
1664 new_exp = min(max(self._exp, Etiny), exp_max) |
|
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|
1665 if new_exp != self._exp: |
|
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parents:
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|
1666 context._raise_error(Clamped) |
|
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changeset
|
1667 return _dec_from_triple(self._sign, '0', new_exp) |
|
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|
1668 else: |
|
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|
1669 return Decimal(self) |
|
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|
1670 |
|
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|
1671 # exp_min is the smallest allowable exponent of the result, |
|
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changeset
|
1672 # equal to max(self.adjusted()-context.prec+1, Etiny) |
|
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changeset
|
1673 exp_min = len(self._int) + self._exp - context.prec |
|
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|
1674 if exp_min > Etop: |
|
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|
1675 # overflow: exp_min > Etop iff self.adjusted() > Emax |
|
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|
1676 ans = context._raise_error(Overflow, 'above Emax', self._sign) |
|
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|
1677 context._raise_error(Inexact) |
|
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|
1678 context._raise_error(Rounded) |
|
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|
1679 return ans |
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|
1680 |
|
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changeset
|
1681 self_is_subnormal = exp_min < Etiny |
|
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|
1682 if self_is_subnormal: |
|
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|
1683 exp_min = Etiny |
|
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|
1684 |
|
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|
1685 # round if self has too many digits |
|
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|
1686 if self._exp < exp_min: |
|
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|
1687 digits = len(self._int) + self._exp - exp_min |
|
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|
1688 if digits < 0: |
|
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|
1689 self = _dec_from_triple(self._sign, '1', exp_min-1) |
|
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|
1690 digits = 0 |
|
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|
1691 rounding_method = self._pick_rounding_function[context.rounding] |
|
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|
1692 changed = rounding_method(self, digits) |
|
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|
1693 coeff = self._int[:digits] or '0' |
|
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|
1694 if changed > 0: |
|
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|
1695 coeff = str(int(coeff)+1) |
|
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|
1696 if len(coeff) > context.prec: |
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|
1697 coeff = coeff[:-1] |
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|
1698 exp_min += 1 |
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|
1699 |
|
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|
1700 # check whether the rounding pushed the exponent out of range |
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|
1701 if exp_min > Etop: |
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|
1702 ans = context._raise_error(Overflow, 'above Emax', self._sign) |
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|
1703 else: |
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|
1704 ans = _dec_from_triple(self._sign, coeff, exp_min) |
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|
1705 |
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|
1706 # raise the appropriate signals, taking care to respect |
|
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|
1707 # the precedence described in the specification |
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|
1708 if changed and self_is_subnormal: |
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|
1709 context._raise_error(Underflow) |
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|
1710 if self_is_subnormal: |
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|
1711 context._raise_error(Subnormal) |
|
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|
1712 if changed: |
|
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|
1713 context._raise_error(Inexact) |
|
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|
1714 context._raise_error(Rounded) |
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|
1715 if not ans: |
|
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|
1716 # raise Clamped on underflow to 0 |
|
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|
1717 context._raise_error(Clamped) |
|
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|
1718 return ans |
|
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|
1719 |
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|
1720 if self_is_subnormal: |
|
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|
1721 context._raise_error(Subnormal) |
|
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|
1722 |
|
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|
1723 # fold down if _clamp == 1 and self has too few digits |
|
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|
1724 if context._clamp == 1 and self._exp > Etop: |
|
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|
1725 context._raise_error(Clamped) |
|
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|
1726 self_padded = self._int + '0'*(self._exp - Etop) |
|
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Decimal module and test cases were updated to their state of
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|
1727 return _dec_from_triple(self._sign, self_padded, Etop) |
|
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|
1728 |
|
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|
1729 # here self was representable to begin with; return unchanged |
|
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|
1730 return Decimal(self) |
|
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|
1731 |
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|
1732 # for each of the rounding functions below: |
|
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|
1733 # self is a finite, nonzero Decimal |
|
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|
1734 # prec is an integer satisfying 0 <= prec < len(self._int) |
|
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|
1735 # |
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|
1736 # each function returns either -1, 0, or 1, as follows: |
|
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|
1737 # 1 indicates that self should be rounded up (away from zero) |
|
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1738 # 0 indicates that self should be truncated, and that all the |
|
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|
1739 # digits to be truncated are zeros (so the value is unchanged) |
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|
1740 # -1 indicates that there are nonzero digits to be truncated |
|
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1741 |
|
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|
1742 def _round_down(self, prec): |
|
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|
1743 """Also known as round-towards-0, truncate.""" |
|
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|
1744 if _all_zeros(self._int, prec): |
|
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Facundo Batista <facundobatista@gmail.com>
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|
1745 return 0 |
|
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|
1746 else: |
|
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parents:
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|
1747 return -1 |
|
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|
1748 |
|
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|
1749 def _round_up(self, prec): |
|
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|
1750 """Rounds away from 0.""" |
|
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|
1751 return -self._round_down(prec) |
|
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|
1752 |
|
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|
1753 def _round_half_up(self, prec): |
|
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|
1754 """Rounds 5 up (away from 0)""" |
|
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|
1755 if self._int[prec] in '56789': |
|
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|
1756 return 1 |
|
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|
1757 elif _all_zeros(self._int, prec): |
|
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|
1758 return 0 |
|
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|
1759 else: |
|
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|
1760 return -1 |
|
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|
1761 |
|
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Decimal module and test cases were updated to their state of
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changeset
|
1762 def _round_half_down(self, prec): |
|
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|
1763 """Round 5 down""" |
|
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parents:
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|
1764 if _exact_half(self._int, prec): |
|
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parents:
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|
1765 return -1 |
|
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|
1766 else: |
|
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|
1767 return self._round_half_up(prec) |
|
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|
1768 |
|
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|
1769 def _round_half_even(self, prec): |
|
9a60bd8f00d6
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|
1770 """Round 5 to even, rest to nearest.""" |
|
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|
1771 if _exact_half(self._int, prec) and \ |
|
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|
1772 (prec == 0 or self._int[prec-1] in '02468'): |
|
9a60bd8f00d6
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|
1773 return -1 |
|
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|
1774 else: |
|
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|
1775 return self._round_half_up(prec) |
|
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|
1776 |
|
9a60bd8f00d6
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|
1777 def _round_ceiling(self, prec): |
|
9a60bd8f00d6
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|
1778 """Rounds up (not away from 0 if negative.)""" |
|
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|
1779 if self._sign: |
|
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|
1780 return self._round_down(prec) |
|
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|
1781 else: |
|
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|
1782 return -self._round_down(prec) |
|
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|
1783 |
|
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|
1784 def _round_floor(self, prec): |
|
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|
1785 """Rounds down (not towards 0 if negative)""" |
|
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|
1786 if not self._sign: |
|
9a60bd8f00d6
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|
1787 return self._round_down(prec) |
|
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parents:
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|
1788 else: |
|
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|
1789 return -self._round_down(prec) |
|
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|
1790 |
|
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|
1791 def _round_05up(self, prec): |
|
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|
1792 """Round down unless digit prec-1 is 0 or 5.""" |
|
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|
1793 if prec and self._int[prec-1] not in '05': |
|
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|
1794 return self._round_down(prec) |
|
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|
1795 else: |
|
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|
1796 return -self._round_down(prec) |
|
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|
1797 |
|
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|
1798 _pick_rounding_function = dict( |
|
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|
1799 ROUND_DOWN = _round_down, |
|
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|
1800 ROUND_UP = _round_up, |
|
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|
1801 ROUND_HALF_UP = _round_half_up, |
|
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|
1802 ROUND_HALF_DOWN = _round_half_down, |
|
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|
1803 ROUND_HALF_EVEN = _round_half_even, |
|
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1804 ROUND_CEILING = _round_ceiling, |
|
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|
1805 ROUND_FLOOR = _round_floor, |
|
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|
1806 ROUND_05UP = _round_05up, |
|
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|
1807 ) |
|
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|
1808 |
|
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|
1809 def fma(self, other, third, context=None): |
|
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|
1810 """Fused multiply-add. |
|
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|
1811 |
|
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|
1812 Returns self*other+third with no rounding of the intermediate |
|
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|
1813 product self*other. |
|
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|
1814 |
|
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|
1815 self and other are multiplied together, with no rounding of |
|
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|
1816 the result. The third operand is then added to the result, |
|
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|
1817 and a single final rounding is performed. |
|
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|
1818 """ |
|
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|
1819 |
|
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|
1820 other = _convert_other(other, raiseit=True) |
|
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|
1821 |
|
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changeset
|
1822 # compute product; raise InvalidOperation if either operand is |
|
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1823 # a signaling NaN or if the product is zero times infinity. |
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1824 if self._is_special or other._is_special: |
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1825 if context is None: |
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1826 context = getcontext() |
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1827 if self._exp == 'N': |
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1828 return context._raise_error(InvalidOperation, 'sNaN', self) |
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1829 if other._exp == 'N': |
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1830 return context._raise_error(InvalidOperation, 'sNaN', other) |
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1831 if self._exp == 'n': |
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1832 product = self |
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1833 elif other._exp == 'n': |
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1834 product = other |
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1835 elif self._exp == 'F': |
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1836 if not other: |
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1837 return context._raise_error(InvalidOperation, |
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1838 'INF * 0 in fma') |
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1839 product = _SignedInfinity[self._sign ^ other._sign] |
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1840 elif other._exp == 'F': |
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1841 if not self: |
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1842 return context._raise_error(InvalidOperation, |
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1843 '0 * INF in fma') |
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1844 product = _SignedInfinity[self._sign ^ other._sign] |
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1845 else: |
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1846 product = _dec_from_triple(self._sign ^ other._sign, |
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1847 str(int(self._int) * int(other._int)), |
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1848 self._exp + other._exp) |
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1849 |
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1850 third = _convert_other(third, raiseit=True) |
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1851 return product.__add__(third, context) |
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1852 |
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1853 def _power_modulo(self, other, modulo, context=None): |
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1854 """Three argument version of __pow__""" |
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1855 |
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1856 # if can't convert other and modulo to Decimal, raise |
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1857 # TypeError; there's no point returning NotImplemented (no |
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1858 # equivalent of __rpow__ for three argument pow) |
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1859 other = _convert_other(other, raiseit=True) |
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1860 modulo = _convert_other(modulo, raiseit=True) |
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1861 |
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1862 if context is None: |
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1863 context = getcontext() |
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1864 |
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1865 # deal with NaNs: if there are any sNaNs then first one wins, |
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1866 # (i.e. behaviour for NaNs is identical to that of fma) |
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1867 self_is_nan = self._isnan() |
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1868 other_is_nan = other._isnan() |
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1869 modulo_is_nan = modulo._isnan() |
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1870 if self_is_nan or other_is_nan or modulo_is_nan: |
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1871 if self_is_nan == 2: |
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1872 return context._raise_error(InvalidOperation, 'sNaN', |
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1873 self) |
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1874 if other_is_nan == 2: |
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1875 return context._raise_error(InvalidOperation, 'sNaN', |
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1876 other) |
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1877 if modulo_is_nan == 2: |
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1878 return context._raise_error(InvalidOperation, 'sNaN', |
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1879 modulo) |
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1880 if self_is_nan: |
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1881 return self._fix_nan(context) |
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1882 if other_is_nan: |
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1883 return other._fix_nan(context) |
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1884 return modulo._fix_nan(context) |
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1885 |
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1886 # check inputs: we apply same restrictions as Python's pow() |
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1887 if not (self._isinteger() and |
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1888 other._isinteger() and |
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1889 modulo._isinteger()): |
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1890 return context._raise_error(InvalidOperation, |
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1891 'pow() 3rd argument not allowed ' |
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1892 'unless all arguments are integers') |
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1893 if other < 0: |
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1894 return context._raise_error(InvalidOperation, |
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1895 'pow() 2nd argument cannot be ' |
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1896 'negative when 3rd argument specified') |
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1897 if not modulo: |
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1898 return context._raise_error(InvalidOperation, |
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1899 'pow() 3rd argument cannot be 0') |
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1900 |
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1901 # additional restriction for decimal: the modulus must be less |
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1902 # than 10**prec in absolute value |
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1903 if modulo.adjusted() >= context.prec: |
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1904 return context._raise_error(InvalidOperation, |
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1905 'insufficient precision: pow() 3rd ' |
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1906 'argument must not have more than ' |
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1907 'precision digits') |
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|
1908 |
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1909 # define 0**0 == NaN, for consistency with two-argument pow |
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1910 # (even though it hurts!) |
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1911 if not other and not self: |
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1912 return context._raise_error(InvalidOperation, |
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1913 'at least one of pow() 1st argument ' |
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1914 'and 2nd argument must be nonzero ;' |
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1915 '0**0 is not defined') |
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1916 |
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1917 # compute sign of result |
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1918 if other._iseven(): |
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1919 sign = 0 |
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1920 else: |
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1921 sign = self._sign |
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1922 |
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1923 # convert modulo to a Python integer, and self and other to |
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1924 # Decimal integers (i.e. force their exponents to be >= 0) |
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1925 modulo = abs(int(modulo)) |
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1926 base = _WorkRep(self.to_integral_value()) |
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1927 exponent = _WorkRep(other.to_integral_value()) |
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1928 |
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1929 # compute result using integer pow() |
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1930 base = (base.int % modulo * pow(10, base.exp, modulo)) % modulo |
|
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1931 for i in xrange(exponent.exp): |
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1932 base = pow(base, 10, modulo) |
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1933 base = pow(base, exponent.int, modulo) |
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1934 |
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1935 return _dec_from_triple(sign, str(base), 0) |
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1936 |
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1937 def _power_exact(self, other, p): |
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1938 """Attempt to compute self**other exactly. |
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1939 |
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1940 Given Decimals self and other and an integer p, attempt to |
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1941 compute an exact result for the power self**other, with p |
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1942 digits of precision. Return None if self**other is not |
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1943 exactly representable in p digits. |
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1944 |
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1945 Assumes that elimination of special cases has already been |
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1946 performed: self and other must both be nonspecial; self must |
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1947 be positive and not numerically equal to 1; other must be |
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1948 nonzero. For efficiency, other._exp should not be too large, |
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1949 so that 10**abs(other._exp) is a feasible calculation.""" |
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1950 |
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Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
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1951 # In the comments below, we write x for the value of self and y for the |
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Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
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1952 # value of other. Write x = xc*10**xe and abs(y) = yc*10**ye, with xc |
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Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
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1953 # and yc positive integers not divisible by 10. |
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1954 |
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1955 # The main purpose of this method is to identify the *failure* |
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1956 # of x**y to be exactly representable with as little effort as |
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1957 # possible. So we look for cheap and easy tests that |
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1958 # eliminate the possibility of x**y being exact. Only if all |
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1959 # these tests are passed do we go on to actually compute x**y. |
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1960 |
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78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
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1961 # Here's the main idea. Express y as a rational number m/n, with m and |
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Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
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1962 # n relatively prime and n>0. Then for x**y to be exactly |
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Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
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1963 # representable (at *any* precision), xc must be the nth power of a |
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Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
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1964 # positive integer and xe must be divisible by n. If y is negative |
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Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
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1965 # then additionally xc must be a power of either 2 or 5, hence a power |
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Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
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1966 # of 2**n or 5**n. |
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1967 # |
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1968 # There's a limit to how small |y| can be: if y=m/n as above |
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1969 # then: |
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1970 # |
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1971 # (1) if xc != 1 then for the result to be representable we |
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1972 # need xc**(1/n) >= 2, and hence also xc**|y| >= 2. So |
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1973 # if |y| <= 1/nbits(xc) then xc < 2**nbits(xc) <= |
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1974 # 2**(1/|y|), hence xc**|y| < 2 and the result is not |
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1975 # representable. |
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1976 # |
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1977 # (2) if xe != 0, |xe|*(1/n) >= 1, so |xe|*|y| >= 1. Hence if |
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1978 # |y| < 1/|xe| then the result is not representable. |
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1979 # |
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1980 # Note that since x is not equal to 1, at least one of (1) and |
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1981 # (2) must apply. Now |y| < 1/nbits(xc) iff |yc|*nbits(xc) < |
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1982 # 10**-ye iff len(str(|yc|*nbits(xc)) <= -ye. |
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1983 # |
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1984 # There's also a limit to how large y can be, at least if it's |
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1985 # positive: the normalized result will have coefficient xc**y, |
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parents:
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1986 # so if it's representable then xc**y < 10**p, and y < |
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1987 # p/log10(xc). Hence if y*log10(xc) >= p then the result is |
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1988 # not exactly representable. |
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Decimal module and test cases were updated to their state of
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|
1989 |
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Decimal module and test cases were updated to their state of
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parents:
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1990 # if len(str(abs(yc*xe)) <= -ye then abs(yc*xe) < 10**-ye, |
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Decimal module and test cases were updated to their state of
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1991 # so |y| < 1/xe and the result is not representable. |
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1992 # Similarly, len(str(abs(yc)*xc_bits)) <= -ye implies |y| |
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Decimal module and test cases were updated to their state of
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1993 # < 1/nbits(xc). |
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Decimal module and test cases were updated to their state of
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|
1994 |
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Decimal module and test cases were updated to their state of
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|
1995 x = _WorkRep(self) |
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Decimal module and test cases were updated to their state of
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1996 xc, xe = x.int, x.exp |
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Decimal module and test cases were updated to their state of
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1997 while xc % 10 == 0: |
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Decimal module and test cases were updated to their state of
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1998 xc //= 10 |
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Decimal module and test cases were updated to their state of
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1999 xe += 1 |
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Decimal module and test cases were updated to their state of
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|
2000 |
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Decimal module and test cases were updated to their state of
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2001 y = _WorkRep(other) |
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Decimal module and test cases were updated to their state of
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2002 yc, ye = y.int, y.exp |
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Decimal module and test cases were updated to their state of
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|
2003 while yc % 10 == 0: |
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Decimal module and test cases were updated to their state of
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|
2004 yc //= 10 |
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Decimal module and test cases were updated to their state of
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|
2005 ye += 1 |
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Decimal module and test cases were updated to their state of
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|
2006 |
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Decimal module and test cases were updated to their state of
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|
2007 # case where xc == 1: result is 10**(xe*y), with xe*y |
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9a60bd8f00d6
Decimal module and test cases were updated to their state of
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|
2008 # required to be an integer |
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Decimal module and test cases were updated to their state of
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|
2009 if xc == 1: |
|
62868
3d8a7f701cb1
Fix Decimal speed issue; backport of r82652 from release27-maint.
Mark Dickinson <dickinsm@gmail.com>
parents:
61744
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|
2010 xe *= yc |
|
3d8a7f701cb1
Fix Decimal speed issue; backport of r82652 from release27-maint.
Mark Dickinson <dickinsm@gmail.com>
parents:
61744
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|
2011 # result is now 10**(xe * 10**ye); xe * 10**ye must be integral |
|
3d8a7f701cb1
Fix Decimal speed issue; backport of r82652 from release27-maint.
Mark Dickinson <dickinsm@gmail.com>
parents:
61744
diff
changeset
|
2012 while xe % 10 == 0: |
|
3d8a7f701cb1
Fix Decimal speed issue; backport of r82652 from release27-maint.
Mark Dickinson <dickinsm@gmail.com>
parents:
61744
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|
2013 xe //= 10 |
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3d8a7f701cb1
Fix Decimal speed issue; backport of r82652 from release27-maint.
Mark Dickinson <dickinsm@gmail.com>
parents:
61744
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|
2014 ye += 1 |
|
3d8a7f701cb1
Fix Decimal speed issue; backport of r82652 from release27-maint.
Mark Dickinson <dickinsm@gmail.com>
parents:
61744
diff
changeset
|
2015 if ye < 0: |
|
3d8a7f701cb1
Fix Decimal speed issue; backport of r82652 from release27-maint.
Mark Dickinson <dickinsm@gmail.com>
parents:
61744
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|
2016 return None |
|
3d8a7f701cb1
Fix Decimal speed issue; backport of r82652 from release27-maint.
Mark Dickinson <dickinsm@gmail.com>
parents:
61744
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|
2017 exponent = xe * 10**ye |
|
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Decimal module and test cases were updated to their state of
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|
2018 if y.sign == 1: |
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Decimal module and test cases were updated to their state of
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|
2019 exponent = -exponent |
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Decimal module and test cases were updated to their state of
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parents:
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|
2020 # if other is a nonnegative integer, use ideal exponent |
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Decimal module and test cases were updated to their state of
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parents:
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|
2021 if other._isinteger() and other._sign == 0: |
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Decimal module and test cases were updated to their state of
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|
2022 ideal_exponent = self._exp*int(other) |
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Decimal module and test cases were updated to their state of
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|
2023 zeros = min(exponent-ideal_exponent, p-1) |
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Decimal module and test cases were updated to their state of
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parents:
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|
2024 else: |
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Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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|
2025 zeros = 0 |
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Decimal module and test cases were updated to their state of
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2026 return _dec_from_triple(0, '1' + '0'*zeros, exponent-zeros) |
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Decimal module and test cases were updated to their state of
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parents:
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|
2027 |
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Decimal module and test cases were updated to their state of
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2028 # case where y is negative: xc must be either a power |
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Decimal module and test cases were updated to their state of
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parents:
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|
2029 # of 2 or a power of 5. |
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Decimal module and test cases were updated to their state of
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parents:
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|
2030 if y.sign == 1: |
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Decimal module and test cases were updated to their state of
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parents:
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|
2031 last_digit = xc % 10 |
|
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Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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|
2032 if last_digit in (2,4,6,8): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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|
2033 # quick test for power of 2 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
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|
2034 if xc & -xc != xc: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
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|
2035 return None |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
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|
2036 # now xc is a power of 2; e is its exponent |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
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|
2037 e = _nbits(xc)-1 |
|
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|
2038 |
|
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Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
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|
2039 # We now have: |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
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2040 # |
|
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Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
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2041 # x = 2**e * 10**xe, e > 0, and y < 0. |
|
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Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
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2042 # |
|
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Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
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|
2043 # The exact result is: |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
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2044 # |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
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parents:
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|
2045 # x**y = 5**(-e*y) * 10**(e*y + xe*y) |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
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|
2046 # |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
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|
2047 # provided that both e*y and xe*y are integers. Note that if |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
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|
2048 # 5**(-e*y) >= 10**p, then the result can't be expressed |
|
78d79499e7de
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parents:
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|
2049 # exactly with p digits of precision. |
|
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Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
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|
2050 # |
|
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Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
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|
2051 # Using the above, we can guard against large values of ye. |
|
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Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
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parents:
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|
2052 # 93/65 is an upper bound for log(10)/log(5), so if |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
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|
2053 # |
|
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2054 # ye >= len(str(93*p//65)) |
|
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2055 # |
|
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Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
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2056 # then |
|
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2057 # |
|
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2058 # -e*y >= -y >= 10**ye > 93*p/65 > p*log(10)/log(5), |
|
78d79499e7de
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|
2059 # |
|
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2060 # so 5**(-e*y) >= 10**p, and the coefficient of the result |
|
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|
2061 # can't be expressed in p digits. |
|
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|
2062 |
|
78d79499e7de
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|
2063 # emax >= largest e such that 5**e < 10**p. |
|
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|
2064 emax = p*93//65 |
|
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Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
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2065 if ye >= len(str(emax)): |
|
78d79499e7de
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|
2066 return None |
|
78d79499e7de
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parents:
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|
2067 |
|
78d79499e7de
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|
2068 # Find -e*y and -xe*y; both must be integers |
|
78d79499e7de
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|
2069 e = _decimal_lshift_exact(e * yc, ye) |
|
78d79499e7de
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parents:
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|
2070 xe = _decimal_lshift_exact(xe * yc, ye) |
|
78d79499e7de
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Mark Dickinson <mdickinson@enthought.com>
parents:
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|
2071 if e is None or xe is None: |
|
78d79499e7de
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Mark Dickinson <mdickinson@enthought.com>
parents:
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|
2072 return None |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
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parents:
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|
2073 |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
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parents:
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|
2074 if e > emax: |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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|
2075 return None |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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|
2076 xc = 5**e |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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|
2077 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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|
2078 elif last_digit == 5: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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|
2079 # e >= log_5(xc) if xc is a power of 5; we have |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
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|
2080 # equality all the way up to xc=5**2658 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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|
2081 e = _nbits(xc)*28//65 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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|
2082 xc, remainder = divmod(5**e, xc) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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|
2083 if remainder: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
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|
2084 return None |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2085 while xc % 5 == 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2086 xc //= 5 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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|
2087 e -= 1 |
|
70637
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
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|
2088 |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
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|
2089 # Guard against large values of ye, using the same logic as in |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
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|
2090 # the 'xc is a power of 2' branch. 10/3 is an upper bound for |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
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|
2091 # log(10)/log(2). |
|
78d79499e7de
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parents:
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|
2092 emax = p*10//3 |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
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|
2093 if ye >= len(str(emax)): |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
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|
2094 return None |
|
78d79499e7de
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Mark Dickinson <mdickinson@enthought.com>
parents:
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|
2095 |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
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|
2096 e = _decimal_lshift_exact(e * yc, ye) |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
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|
2097 xe = _decimal_lshift_exact(xe * yc, ye) |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
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|
2098 if e is None or xe is None: |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
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|
2099 return None |
|
78d79499e7de
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parents:
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|
2100 |
|
78d79499e7de
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parents:
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|
2101 if e > emax: |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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|
2102 return None |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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changeset
|
2103 xc = 2**e |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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|
2104 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
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|
2105 return None |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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|
2106 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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changeset
|
2107 if xc >= 10**p: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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|
2108 return None |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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changeset
|
2109 xe = -e-xe |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
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|
2110 return _dec_from_triple(0, str(xc), xe) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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|
2111 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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|
2112 # now y is positive; find m and n such that y = m/n |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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changeset
|
2113 if ye >= 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2114 m, n = yc*10**ye, 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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changeset
|
2115 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2116 if xe != 0 and len(str(abs(yc*xe))) <= -ye: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
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|
2117 return None |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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|
2118 xc_bits = _nbits(xc) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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changeset
|
2119 if xc != 1 and len(str(abs(yc)*xc_bits)) <= -ye: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2120 return None |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2121 m, n = yc, 10**(-ye) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2122 while m % 2 == n % 2 == 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2123 m //= 2 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2124 n //= 2 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2125 while m % 5 == n % 5 == 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2126 m //= 5 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2127 n //= 5 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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changeset
|
2128 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2129 # compute nth root of xc*10**xe |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2130 if n > 1: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2131 # if 1 < xc < 2**n then xc isn't an nth power |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2132 if xc != 1 and xc_bits <= n: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2133 return None |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2134 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2135 xe, rem = divmod(xe, n) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2136 if rem != 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2137 return None |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2138 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2139 # compute nth root of xc using Newton's method |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2140 a = 1L << -(-_nbits(xc)//n) # initial estimate |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2141 while True: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2142 q, r = divmod(xc, a**(n-1)) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2143 if a <= q: |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
2144 break |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
2145 else: |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2146 a = (a*(n-1) + q)//n |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2147 if not (a == q and r == 0): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2148 return None |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2149 xc = a |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2150 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2151 # now xc*10**xe is the nth root of the original xc*10**xe |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2152 # compute mth power of xc*10**xe |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2153 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2154 # if m > p*100//_log10_lb(xc) then m > p/log10(xc), hence xc**m > |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2155 # 10**p and the result is not representable. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2156 if xc > 1 and m > p*100//_log10_lb(xc): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2157 return None |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2158 xc = xc**m |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2159 xe *= m |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2160 if xc > 10**p: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2161 return None |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2162 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2163 # by this point the result *is* exactly representable |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2164 # adjust the exponent to get as close as possible to the ideal |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2165 # exponent, if necessary |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2166 str_xc = str(xc) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2167 if other._isinteger() and other._sign == 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2168 ideal_exponent = self._exp*int(other) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2169 zeros = min(xe-ideal_exponent, p-len(str_xc)) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
2170 else: |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2171 zeros = 0 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2172 return _dec_from_triple(0, str_xc+'0'*zeros, xe-zeros) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2173 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2174 def __pow__(self, other, modulo=None, context=None): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2175 """Return self ** other [ % modulo]. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2176 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2177 With two arguments, compute self**other. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2178 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2179 With three arguments, compute (self**other) % modulo. For the |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2180 three argument form, the following restrictions on the |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2181 arguments hold: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2182 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2183 - all three arguments must be integral |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2184 - other must be nonnegative |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2185 - either self or other (or both) must be nonzero |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2186 - modulo must be nonzero and must have at most p digits, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2187 where p is the context precision. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2188 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2189 If any of these restrictions is violated the InvalidOperation |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2190 flag is raised. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2191 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2192 The result of pow(self, other, modulo) is identical to the |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2193 result that would be obtained by computing (self**other) % |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2194 modulo with unbounded precision, but is computed more |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2195 efficiently. It is always exact. |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
2196 """ |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2197 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2198 if modulo is not None: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2199 return self._power_modulo(other, modulo, context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2200 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2201 other = _convert_other(other) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2202 if other is NotImplemented: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2203 return other |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
2204 |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
2205 if context is None: |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
2206 context = getcontext() |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
2207 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2208 # either argument is a NaN => result is NaN |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2209 ans = self._check_nans(other, context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2210 if ans: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2211 return ans |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2212 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2213 # 0**0 = NaN (!), x**0 = 1 for nonzero x (including +/-Infinity) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2214 if not other: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2215 if not self: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2216 return context._raise_error(InvalidOperation, '0 ** 0') |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2217 else: |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
2218 return _One |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2219 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2220 # result has sign 1 iff self._sign is 1 and other is an odd integer |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2221 result_sign = 0 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2222 if self._sign == 1: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2223 if other._isinteger(): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2224 if not other._iseven(): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2225 result_sign = 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2226 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2227 # -ve**noninteger = NaN |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2228 # (-0)**noninteger = 0**noninteger |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2229 if self: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2230 return context._raise_error(InvalidOperation, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2231 'x ** y with x negative and y not an integer') |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2232 # negate self, without doing any unwanted rounding |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2233 self = self.copy_negate() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2234 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2235 # 0**(+ve or Inf)= 0; 0**(-ve or -Inf) = Infinity |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2236 if not self: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2237 if other._sign == 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2238 return _dec_from_triple(result_sign, '0', 0) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2239 else: |
|
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parents:
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diff
changeset
|
2240 return _SignedInfinity[result_sign] |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2241 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2242 # Inf**(+ve or Inf) = Inf; Inf**(-ve or -Inf) = 0 |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
2243 if self._isinfinity(): |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2244 if other._sign == 0: |
|
50480
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Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
2245 return _SignedInfinity[result_sign] |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2246 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2247 return _dec_from_triple(result_sign, '0', 0) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2248 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2249 # 1**other = 1, but the choice of exponent and the flags |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2250 # depend on the exponent of self, and on whether other is a |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2251 # positive integer, a negative integer, or neither |
|
50480
f2a5d7828b83
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Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
2252 if self == _One: |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2253 if other._isinteger(): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2254 # exp = max(self._exp*max(int(other), 0), |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2255 # 1-context.prec) but evaluating int(other) directly |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2256 # is dangerous until we know other is small (other |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2257 # could be 1e999999999) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2258 if other._sign == 1: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2259 multiplier = 0 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2260 elif other > context.prec: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2261 multiplier = context.prec |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2262 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2263 multiplier = int(other) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2264 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2265 exp = self._exp * multiplier |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2266 if exp < 1-context.prec: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2267 exp = 1-context.prec |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2268 context._raise_error(Rounded) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2269 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2270 context._raise_error(Inexact) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2271 context._raise_error(Rounded) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2272 exp = 1-context.prec |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2273 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2274 return _dec_from_triple(result_sign, '1'+'0'*-exp, exp) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2275 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2276 # compute adjusted exponent of self |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2277 self_adj = self.adjusted() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2278 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2279 # self ** infinity is infinity if self > 1, 0 if self < 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2280 # self ** -infinity is infinity if self < 1, 0 if self > 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2281 if other._isinfinity(): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2282 if (other._sign == 0) == (self_adj < 0): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2283 return _dec_from_triple(result_sign, '0', 0) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2284 else: |
|
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Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
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diff
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|
2285 return _SignedInfinity[result_sign] |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2286 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2287 # from here on, the result always goes through the call |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2288 # to _fix at the end of this function. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2289 ans = None |
|
61212
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Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
2290 exact = False |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2291 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2292 # crude test to catch cases of extreme overflow/underflow. If |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2293 # log10(self)*other >= 10**bound and bound >= len(str(Emax)) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2294 # then 10**bound >= 10**len(str(Emax)) >= Emax+1 and hence |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2295 # self**other >= 10**(Emax+1), so overflow occurs. The test |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2296 # for underflow is similar. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2297 bound = self._log10_exp_bound() + other.adjusted() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2298 if (self_adj >= 0) == (other._sign == 0): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2299 # self > 1 and other +ve, or self < 1 and other -ve |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2300 # possibility of overflow |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2301 if bound >= len(str(context.Emax)): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2302 ans = _dec_from_triple(result_sign, '1', context.Emax+1) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2303 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2304 # self > 1 and other -ve, or self < 1 and other +ve |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2305 # possibility of underflow to 0 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2306 Etiny = context.Etiny() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2307 if bound >= len(str(-Etiny)): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2308 ans = _dec_from_triple(result_sign, '1', Etiny-1) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2309 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2310 # try for an exact result with precision +1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2311 if ans is None: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2312 ans = self._power_exact(other, context.prec + 1) |
|
62868
3d8a7f701cb1
Fix Decimal speed issue; backport of r82652 from release27-maint.
Mark Dickinson <dickinsm@gmail.com>
parents:
61744
diff
changeset
|
2313 if ans is not None: |
|
3d8a7f701cb1
Fix Decimal speed issue; backport of r82652 from release27-maint.
Mark Dickinson <dickinsm@gmail.com>
parents:
61744
diff
changeset
|
2314 if result_sign == 1: |
|
3d8a7f701cb1
Fix Decimal speed issue; backport of r82652 from release27-maint.
Mark Dickinson <dickinsm@gmail.com>
parents:
61744
diff
changeset
|
2315 ans = _dec_from_triple(1, ans._int, ans._exp) |
|
3d8a7f701cb1
Fix Decimal speed issue; backport of r82652 from release27-maint.
Mark Dickinson <dickinsm@gmail.com>
parents:
61744
diff
changeset
|
2316 exact = True |
|
44600
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Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2317 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2318 # usual case: inexact result, x**y computed directly as exp(y*log(x)) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2319 if ans is None: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2320 p = context.prec |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2321 x = _WorkRep(self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2322 xc, xe = x.int, x.exp |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2323 y = _WorkRep(other) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2324 yc, ye = y.int, y.exp |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2325 if y.sign == 1: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2326 yc = -yc |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2327 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2328 # compute correctly rounded result: start with precision +3, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2329 # then increase precision until result is unambiguously roundable |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2330 extra = 3 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2331 while True: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2332 coeff, exp = _dpower(xc, xe, yc, ye, p+extra) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2333 if coeff % (5*10**(len(str(coeff))-p-1)): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2334 break |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2335 extra += 3 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2336 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2337 ans = _dec_from_triple(result_sign, str(coeff), exp) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2338 |
|
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changeset
|
2339 # unlike exp, ln and log10, the power function respects the |
|
ecc32e2f4656
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changeset
|
2340 # rounding mode; no need to switch to ROUND_HALF_EVEN here |
|
ecc32e2f4656
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changeset
|
2341 |
|
ecc32e2f4656
Merged revisions 80753 via svnmerge from
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changeset
|
2342 # There's a difficulty here when 'other' is not an integer and |
|
ecc32e2f4656
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changeset
|
2343 # the result is exact. In this case, the specification |
|
ecc32e2f4656
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changeset
|
2344 # requires that the Inexact flag be raised (in spite of |
|
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|
2345 # exactness), but since the result is exact _fix won't do this |
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2346 # for us. (Correspondingly, the Underflow signal should also |
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2347 # be raised for subnormal results.) We can't directly raise |
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2348 # these signals either before or after calling _fix, since |
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2349 # that would violate the precedence for signals. So we wrap |
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2350 # the ._fix call in a temporary context, and reraise |
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2351 # afterwards. |
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2352 if exact and not other._isinteger(): |
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2353 # pad with zeros up to length context.prec+1 if necessary; this |
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|
2354 # ensures that the Rounded signal will be raised. |
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2355 if len(ans._int) <= context.prec: |
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2356 expdiff = context.prec + 1 - len(ans._int) |
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2357 ans = _dec_from_triple(ans._sign, ans._int+'0'*expdiff, |
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|
2358 ans._exp-expdiff) |
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2359 |
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2360 # create a copy of the current context, with cleared flags/traps |
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2361 newcontext = context.copy() |
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2362 newcontext.clear_flags() |
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2363 for exception in _signals: |
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2364 newcontext.traps[exception] = 0 |
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2365 |
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2366 # round in the new context |
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2367 ans = ans._fix(newcontext) |
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2368 |
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2369 # raise Inexact, and if necessary, Underflow |
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2370 newcontext._raise_error(Inexact) |
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2371 if newcontext.flags[Subnormal]: |
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2372 newcontext._raise_error(Underflow) |
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2373 |
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2374 # propagate signals to the original context; _fix could |
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2375 # have raised any of Overflow, Underflow, Subnormal, |
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2376 # Inexact, Rounded, Clamped. Overflow needs the correct |
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2377 # arguments. Note that the order of the exceptions is |
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2378 # important here. |
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2379 if newcontext.flags[Overflow]: |
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2380 context._raise_error(Overflow, 'above Emax', ans._sign) |
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2381 for exception in Underflow, Subnormal, Inexact, Rounded, Clamped: |
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2382 if newcontext.flags[exception]: |
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2383 context._raise_error(exception) |
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2384 |
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2385 else: |
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2386 ans = ans._fix(context) |
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2387 |
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|
2388 return ans |
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2389 |
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2390 def __rpow__(self, other, context=None): |
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2391 """Swaps self/other and returns __pow__.""" |
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2392 other = _convert_other(other) |
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* Fix decimal's handling of foreign types. Now returns NotImplemented
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2393 if other is NotImplemented: |
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2394 return other |
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2395 return other.__pow__(self, context=context) |
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2396 |
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2397 def normalize(self, context=None): |
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Move Decimal from the sandbox into production.
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2398 """Normalize- strip trailing 0s, change anything equal to 0 to 0e0""" |
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2399 |
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2400 if context is None: |
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2401 context = getcontext() |
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2402 |
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2403 if self._is_special: |
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2404 ans = self._check_nans(context=context) |
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2405 if ans: |
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2406 return ans |
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2407 |
| 33695 | 2408 dup = self._fix(context) |
|
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2409 if dup._isinfinity(): |
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2410 return dup |
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2411 |
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2412 if not dup: |
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2413 return _dec_from_triple(dup._sign, '0', 0) |
|
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2414 exp_max = [context.Emax, context.Etop()][context._clamp] |
|
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2415 end = len(dup._int) |
|
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|
2416 exp = dup._exp |
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2417 while dup._int[end-1] == '0' and exp < exp_max: |
|
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2418 exp += 1 |
|
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|
2419 end -= 1 |
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2420 return _dec_from_triple(dup._sign, dup._int[:end], exp) |
|
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2421 |
|
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|
2422 def quantize(self, exp, rounding=None, context=None, watchexp=True): |
|
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|
2423 """Quantize self so its exponent is the same as that of exp. |
|
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2424 |
|
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|
2425 Similar to self._rescale(exp._exp) but with error checking. |
|
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|
2426 """ |
|
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|
2427 exp = _convert_other(exp, raiseit=True) |
|
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2428 |
|
9a60bd8f00d6
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|
2429 if context is None: |
|
9a60bd8f00d6
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|
2430 context = getcontext() |
|
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|
2431 if rounding is None: |
|
9a60bd8f00d6
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|
2432 rounding = context.rounding |
|
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|
2433 |
|
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|
2434 if self._is_special or exp._is_special: |
|
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|
2435 ans = self._check_nans(exp, context) |
|
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|
2436 if ans: |
|
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|
2437 return ans |
|
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|
2438 |
|
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|
2439 if exp._isinfinity() or self._isinfinity(): |
|
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|
2440 if exp._isinfinity() and self._isinfinity(): |
|
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|
2441 return Decimal(self) # if both are inf, it is OK |
|
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|
2442 return context._raise_error(InvalidOperation, |
|
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|
2443 'quantize with one INF') |
|
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|
2444 |
|
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|
2445 # if we're not watching exponents, do a simple rescale |
|
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parents:
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|
2446 if not watchexp: |
|
9a60bd8f00d6
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|
2447 ans = self._rescale(exp._exp, rounding) |
|
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parents:
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|
2448 # raise Inexact and Rounded where appropriate |
|
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parents:
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|
2449 if ans._exp > self._exp: |
|
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parents:
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diff
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|
2450 context._raise_error(Rounded) |
|
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parents:
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|
2451 if ans != self: |
|
9a60bd8f00d6
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parents:
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diff
changeset
|
2452 context._raise_error(Inexact) |
|
9a60bd8f00d6
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parents:
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diff
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|
2453 return ans |
|
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parents:
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diff
changeset
|
2454 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2455 # exp._exp should be between Etiny and Emax |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2456 if not (context.Etiny() <= exp._exp <= context.Emax): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2457 return context._raise_error(InvalidOperation, |
|
9a60bd8f00d6
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parents:
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diff
changeset
|
2458 'target exponent out of bounds in quantize') |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2459 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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diff
changeset
|
2460 if not self: |
|
9a60bd8f00d6
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parents:
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diff
changeset
|
2461 ans = _dec_from_triple(self._sign, '0', exp._exp) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2462 return ans._fix(context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2463 |
|
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Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2464 self_adjusted = self.adjusted() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2465 if self_adjusted > context.Emax: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2466 return context._raise_error(InvalidOperation, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2467 'exponent of quantize result too large for current context') |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2468 if self_adjusted - exp._exp + 1 > context.prec: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2469 return context._raise_error(InvalidOperation, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2470 'quantize result has too many digits for current context') |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2471 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2472 ans = self._rescale(exp._exp, rounding) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2473 if ans.adjusted() > context.Emax: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2474 return context._raise_error(InvalidOperation, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2475 'exponent of quantize result too large for current context') |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2476 if len(ans._int) > context.prec: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2477 return context._raise_error(InvalidOperation, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2478 'quantize result has too many digits for current context') |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2479 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2480 # raise appropriate flags |
|
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|
2481 if ans and ans.adjusted() < context.Emin: |
|
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Merged revisions 80753 via svnmerge from
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changeset
|
2482 context._raise_error(Subnormal) |
|
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changeset
|
2483 if ans._exp > self._exp: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
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changeset
|
2484 if ans != self: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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diff
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|
2485 context._raise_error(Inexact) |
|
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|
2486 context._raise_error(Rounded) |
|
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|
2487 |
|
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|
2488 # call to fix takes care of any necessary folddown, and |
|
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diff
changeset
|
2489 # signals Clamped if necessary |
|
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parents:
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diff
changeset
|
2490 ans = ans._fix(context) |
|
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|
2491 return ans |
|
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|
2492 |
|
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|
2493 def same_quantum(self, other): |
|
44600
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parents:
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changeset
|
2494 """Return True if self and other have the same exponent; otherwise |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
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|
2495 return False. |
|
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changeset
|
2496 |
|
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diff
changeset
|
2497 If either operand is a special value, the following rules are used: |
|
9a60bd8f00d6
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changeset
|
2498 * return True if both operands are infinities |
|
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diff
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|
2499 * return True if both operands are NaNs |
|
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|
2500 * otherwise, return False. |
|
32451
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|
2501 """ |
|
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diff
changeset
|
2502 other = _convert_other(other, raiseit=True) |
|
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|
2503 if self._is_special or other._is_special: |
|
44600
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diff
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|
2504 return (self.is_nan() and other.is_nan() or |
|
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diff
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|
2505 self.is_infinite() and other.is_infinite()) |
|
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|
2506 return self._exp == other._exp |
|
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|
2507 |
|
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|
2508 def _rescale(self, exp, rounding): |
|
9a60bd8f00d6
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Facundo Batista <facundobatista@gmail.com>
parents:
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|
2509 """Rescale self so that the exponent is exp, either by padding with zeros |
|
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diff
changeset
|
2510 or by truncating digits, using the given rounding mode. |
|
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Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
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|
2511 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2512 Specials are returned without change. This operation is |
|
9a60bd8f00d6
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changeset
|
2513 quiet: it raises no flags, and uses no information from the |
|
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|
2514 context. |
|
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|
2515 |
|
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|
2516 exp = exp to scale to (an integer) |
|
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|
2517 rounding = rounding mode |
|
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diff
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|
2518 """ |
|
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|
2519 if self._is_special: |
|
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changeset
|
2520 return Decimal(self) |
|
32451
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Move Decimal from the sandbox into production.
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|
2521 if not self: |
|
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diff
changeset
|
2522 return _dec_from_triple(self._sign, '0', exp) |
|
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|
2523 |
|
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Decimal module and test cases were updated to their state of
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diff
changeset
|
2524 if self._exp >= exp: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2525 # pad answer with zeros if necessary |
|
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parents:
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diff
changeset
|
2526 return _dec_from_triple(self._sign, |
|
9a60bd8f00d6
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parents:
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diff
changeset
|
2527 self._int + '0'*(self._exp - exp), exp) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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diff
changeset
|
2528 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2529 # too many digits; round and lose data. If self.adjusted() < |
|
9a60bd8f00d6
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parents:
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diff
changeset
|
2530 # exp-1, replace self by 10**(exp-1) before rounding |
|
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Decimal module and test cases were updated to their state of
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diff
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|
2531 digits = len(self._int) + self._exp - exp |
|
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Move Decimal from the sandbox into production.
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parents:
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changeset
|
2532 if digits < 0: |
|
44600
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diff
changeset
|
2533 self = _dec_from_triple(self._sign, '1', exp-1) |
|
9a60bd8f00d6
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diff
changeset
|
2534 digits = 0 |
|
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Neaten-up the fix to issue 11830
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diff
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|
2535 this_function = self._pick_rounding_function[rounding] |
|
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parents:
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|
2536 changed = this_function(self, digits) |
|
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|
2537 coeff = self._int[:digits] or '0' |
|
9a60bd8f00d6
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changeset
|
2538 if changed == 1: |
|
9a60bd8f00d6
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diff
changeset
|
2539 coeff = str(int(coeff)+1) |
|
9a60bd8f00d6
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parents:
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changeset
|
2540 return _dec_from_triple(self._sign, coeff, exp) |
|
9a60bd8f00d6
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changeset
|
2541 |
|
45566
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changeset
|
2542 def _round(self, places, rounding): |
|
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diff
changeset
|
2543 """Round a nonzero, nonspecial Decimal to a fixed number of |
|
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changeset
|
2544 significant figures, using the given rounding mode. |
|
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|
2545 |
|
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changeset
|
2546 Infinities, NaNs and zeros are returned unaltered. |
|
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|
2547 |
|
bce4c40df7df
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changeset
|
2548 This operation is quiet: it raises no flags, and uses no |
|
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diff
changeset
|
2549 information from the context. |
|
bce4c40df7df
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diff
changeset
|
2550 |
|
bce4c40df7df
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diff
changeset
|
2551 """ |
|
bce4c40df7df
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diff
changeset
|
2552 if places <= 0: |
|
bce4c40df7df
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diff
changeset
|
2553 raise ValueError("argument should be at least 1 in _round") |
|
bce4c40df7df
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diff
changeset
|
2554 if self._is_special or not self: |
|
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changeset
|
2555 return Decimal(self) |
|
bce4c40df7df
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diff
changeset
|
2556 ans = self._rescale(self.adjusted()+1-places, rounding) |
|
bce4c40df7df
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changeset
|
2557 # it can happen that the rescale alters the adjusted exponent; |
|
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diff
changeset
|
2558 # for example when rounding 99.97 to 3 significant figures. |
|
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diff
changeset
|
2559 # When this happens we end up with an extra 0 at the end of |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
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parents:
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diff
changeset
|
2560 # the number; a second rescale fixes this. |
|
bce4c40df7df
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parents:
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diff
changeset
|
2561 if ans.adjusted() != self.adjusted(): |
|
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diff
changeset
|
2562 ans = ans._rescale(ans.adjusted()+1-places, rounding) |
|
bce4c40df7df
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diff
changeset
|
2563 return ans |
|
bce4c40df7df
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parents:
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diff
changeset
|
2564 |
|
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changeset
|
2565 def to_integral_exact(self, rounding=None, context=None): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2566 """Rounds to a nearby integer. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2567 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2568 If no rounding mode is specified, take the rounding mode from |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2569 the context. This method raises the Rounded and Inexact flags |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2570 when appropriate. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2571 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2572 See also: to_integral_value, which does exactly the same as |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2573 this method except that it doesn't raise Inexact or Rounded. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2574 """ |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
2575 if self._is_special: |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
2576 ans = self._check_nans(context=context) |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
2577 if ans: |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
2578 return ans |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2579 return Decimal(self) |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
2580 if self._exp >= 0: |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2581 return Decimal(self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2582 if not self: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2583 return _dec_from_triple(self._sign, '0', 0) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
2584 if context is None: |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
2585 context = getcontext() |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2586 if rounding is None: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2587 rounding = context.rounding |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2588 ans = self._rescale(0, rounding) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2589 if ans != self: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2590 context._raise_error(Inexact) |
|
61212
ecc32e2f4656
Merged revisions 80753 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
58169
diff
changeset
|
2591 context._raise_error(Rounded) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
2592 return ans |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
2593 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2594 def to_integral_value(self, rounding=None, context=None): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2595 """Rounds to the nearest integer, without raising inexact, rounded.""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2596 if context is None: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2597 context = getcontext() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2598 if rounding is None: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2599 rounding = context.rounding |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2600 if self._is_special: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2601 ans = self._check_nans(context=context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2602 if ans: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2603 return ans |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2604 return Decimal(self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2605 if self._exp >= 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2606 return Decimal(self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2607 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2608 return self._rescale(0, rounding) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2609 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2610 # the method name changed, but we provide also the old one, for compatibility |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2611 to_integral = to_integral_value |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2612 |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
2613 def sqrt(self, context=None): |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2614 """Return the square root of self.""" |
|
46083
0b63999158b0
Decimal.sqrt(0) failed when the context was not
Mark Dickinson <dickinsm@gmail.com>
parents:
44603
diff
changeset
|
2615 if context is None: |
|
0b63999158b0
Decimal.sqrt(0) failed when the context was not
Mark Dickinson <dickinsm@gmail.com>
parents:
44603
diff
changeset
|
2616 context = getcontext() |
|
0b63999158b0
Decimal.sqrt(0) failed when the context was not
Mark Dickinson <dickinsm@gmail.com>
parents:
44603
diff
changeset
|
2617 |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
2618 if self._is_special: |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
2619 ans = self._check_nans(context=context) |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
2620 if ans: |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
2621 return ans |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
2622 |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
2623 if self._isinfinity() and self._sign == 0: |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
2624 return Decimal(self) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
2625 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
2626 if not self: |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2627 # exponent = self._exp // 2. sqrt(-0) = -0 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2628 ans = _dec_from_triple(self._sign, '0', self._exp // 2) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2629 return ans._fix(context) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
2630 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
2631 if self._sign == 1: |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
2632 return context._raise_error(InvalidOperation, 'sqrt(-x), x > 0') |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
2633 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2634 # At this point self represents a positive number. Let p be |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2635 # the desired precision and express self in the form c*100**e |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2636 # with c a positive real number and e an integer, c and e |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2637 # being chosen so that 100**(p-1) <= c < 100**p. Then the |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2638 # (exact) square root of self is sqrt(c)*10**e, and 10**(p-1) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2639 # <= sqrt(c) < 10**p, so the closest representable Decimal at |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2640 # precision p is n*10**e where n = round_half_even(sqrt(c)), |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2641 # the closest integer to sqrt(c) with the even integer chosen |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2642 # in the case of a tie. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2643 # |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2644 # To ensure correct rounding in all cases, we use the |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2645 # following trick: we compute the square root to an extra |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2646 # place (precision p+1 instead of precision p), rounding down. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2647 # Then, if the result is inexact and its last digit is 0 or 5, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2648 # we increase the last digit to 1 or 6 respectively; if it's |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2649 # exact we leave the last digit alone. Now the final round to |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2650 # p places (or fewer in the case of underflow) will round |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2651 # correctly and raise the appropriate flags. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2652 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2653 # use an extra digit of precision |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2654 prec = context.prec+1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2655 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2656 # write argument in the form c*100**e where e = self._exp//2 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2657 # is the 'ideal' exponent, to be used if the square root is |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2658 # exactly representable. l is the number of 'digits' of c in |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2659 # base 100, so that 100**(l-1) <= c < 100**l. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2660 op = _WorkRep(self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2661 e = op.exp >> 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2662 if op.exp & 1: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2663 c = op.int * 10 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2664 l = (len(self._int) >> 1) + 1 |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
2665 else: |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2666 c = op.int |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2667 l = len(self._int)+1 >> 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2668 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2669 # rescale so that c has exactly prec base 100 'digits' |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2670 shift = prec-l |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2671 if shift >= 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2672 c *= 100**shift |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2673 exact = True |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2674 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2675 c, remainder = divmod(c, 100**-shift) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2676 exact = not remainder |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2677 e -= shift |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2678 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2679 # find n = floor(sqrt(c)) using Newton's method |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2680 n = 10**prec |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2681 while True: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2682 q = c//n |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2683 if n <= q: |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
2684 break |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2685 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2686 n = n + q >> 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2687 exact = exact and n*n == c |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2688 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2689 if exact: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2690 # result is exact; rescale to use ideal exponent e |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2691 if shift >= 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2692 # assert n % 10**shift == 0 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2693 n //= 10**shift |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2694 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2695 n *= 10**-shift |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2696 e += shift |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
2697 else: |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2698 # result is not exact; fix last digit as described above |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2699 if n % 5 == 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2700 n += 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2701 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2702 ans = _dec_from_triple(0, str(n), e) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2703 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2704 # round, and fit to current context |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2705 context = context._shallow_copy() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2706 rounding = context._set_rounding(ROUND_HALF_EVEN) |
| 33695 | 2707 ans = ans._fix(context) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2708 context.rounding = rounding |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2709 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2710 return ans |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
2711 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
2712 def max(self, other, context=None): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
2713 """Returns the larger value. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
2714 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2715 Like max(self, other) except if one is not a number, returns |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
2716 NaN (and signals if one is sNaN). Also rounds. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
2717 """ |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2718 other = _convert_other(other, raiseit=True) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2719 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2720 if context is None: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2721 context = getcontext() |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
2722 |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
2723 if self._is_special or other._is_special: |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2724 # If one operand is a quiet NaN and the other is number, then the |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2725 # number is always returned |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2726 sn = self._isnan() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2727 on = other._isnan() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2728 if sn or on: |
|
50114
e35468bc4df4
Issue #4084: fix bug in handling of NaNs in Decimal.max, Decimal.min,
Mark Dickinson <dickinsm@gmail.com>
parents:
46089
diff
changeset
|
2729 if on == 1 and sn == 0: |
|
e35468bc4df4
Issue #4084: fix bug in handling of NaNs in Decimal.max, Decimal.min,
Mark Dickinson <dickinsm@gmail.com>
parents:
46089
diff
changeset
|
2730 return self._fix(context) |
|
e35468bc4df4
Issue #4084: fix bug in handling of NaNs in Decimal.max, Decimal.min,
Mark Dickinson <dickinsm@gmail.com>
parents:
46089
diff
changeset
|
2731 if sn == 1 and on == 0: |
|
e35468bc4df4
Issue #4084: fix bug in handling of NaNs in Decimal.max, Decimal.min,
Mark Dickinson <dickinsm@gmail.com>
parents:
46089
diff
changeset
|
2732 return other._fix(context) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2733 return self._check_nans(other, context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2734 |
|
45201
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
2735 c = self._cmp(other) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2736 if c == 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2737 # If both operands are finite and equal in numerical value |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2738 # then an ordering is applied: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2739 # |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2740 # If the signs differ then max returns the operand with the |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2741 # positive sign and min returns the operand with the negative sign |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2742 # |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2743 # If the signs are the same then the exponent is used to select |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2744 # the result. This is exactly the ordering used in compare_total. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2745 c = self.compare_total(other) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2746 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2747 if c == -1: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2748 ans = other |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2749 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2750 ans = self |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2751 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2752 return ans._fix(context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2753 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2754 def min(self, other, context=None): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2755 """Returns the smaller value. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2756 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2757 Like min(self, other) except if one is not a number, returns |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2758 NaN (and signals if one is sNaN). Also rounds. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2759 """ |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2760 other = _convert_other(other, raiseit=True) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2761 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2762 if context is None: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2763 context = getcontext() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2764 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2765 if self._is_special or other._is_special: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2766 # If one operand is a quiet NaN and the other is number, then the |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
2767 # number is always returned |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
2768 sn = self._isnan() |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
2769 on = other._isnan() |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
2770 if sn or on: |
|
50114
e35468bc4df4
Issue #4084: fix bug in handling of NaNs in Decimal.max, Decimal.min,
Mark Dickinson <dickinsm@gmail.com>
parents:
46089
diff
changeset
|
2771 if on == 1 and sn == 0: |
|
e35468bc4df4
Issue #4084: fix bug in handling of NaNs in Decimal.max, Decimal.min,
Mark Dickinson <dickinsm@gmail.com>
parents:
46089
diff
changeset
|
2772 return self._fix(context) |
|
e35468bc4df4
Issue #4084: fix bug in handling of NaNs in Decimal.max, Decimal.min,
Mark Dickinson <dickinsm@gmail.com>
parents:
46089
diff
changeset
|
2773 if sn == 1 and on == 0: |
|
e35468bc4df4
Issue #4084: fix bug in handling of NaNs in Decimal.max, Decimal.min,
Mark Dickinson <dickinsm@gmail.com>
parents:
46089
diff
changeset
|
2774 return other._fix(context) |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
2775 return self._check_nans(other, context) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
2776 |
|
45201
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
2777 c = self._cmp(other) |
|
33157
b2f427db228b
Revise max() and min() to comply with the 8/2/2004 update to the specification
Raymond Hettinger <python@rcn.com>
parents:
33044
diff
changeset
|
2778 if c == 0: |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2779 c = self.compare_total(other) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2780 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2781 if c == -1: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2782 ans = self |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2783 else: |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
2784 ans = other |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
2785 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2786 return ans._fix(context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2787 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2788 def _isinteger(self): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2789 """Returns whether self is an integer""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2790 if self._is_special: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2791 return False |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2792 if self._exp >= 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2793 return True |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2794 rest = self._int[self._exp:] |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2795 return rest == '0'*len(rest) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2796 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2797 def _iseven(self): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2798 """Returns True if self is even. Assumes self is an integer.""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2799 if not self or self._exp > 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2800 return True |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2801 return self._int[-1+self._exp] in '02468' |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2802 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2803 def adjusted(self): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2804 """Return the adjusted exponent of self""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2805 try: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2806 return self._exp + len(self._int) - 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2807 # If NaN or Infinity, self._exp is string |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2808 except TypeError: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2809 return 0 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2810 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2811 def canonical(self, context=None): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2812 """Returns the same Decimal object. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2813 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2814 As we do not have different encodings for the same number, the |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2815 received object already is in its canonical form. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2816 """ |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2817 return self |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2818 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2819 def compare_signal(self, other, context=None): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2820 """Compares self to the other operand numerically. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2821 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2822 It's pretty much like compare(), but all NaNs signal, with signaling |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2823 NaNs taking precedence over quiet NaNs. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2824 """ |
|
45201
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
2825 other = _convert_other(other, raiseit = True) |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
2826 ans = self._compare_check_nans(other, context) |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
2827 if ans: |
|
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
2828 return ans |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2829 return self.compare(other, context=context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2830 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2831 def compare_total(self, other): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2832 """Compares self to other using the abstract representations. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2833 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2834 This is not like the standard compare, which use their numerical |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2835 value. Note that a total ordering is defined for all possible abstract |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2836 representations. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2837 """ |
|
56971
53e38005d507
Merged revisions 75943-75945 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
56854
diff
changeset
|
2838 other = _convert_other(other, raiseit=True) |
|
53e38005d507
Merged revisions 75943-75945 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
56854
diff
changeset
|
2839 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2840 # if one is negative and the other is positive, it's easy |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2841 if self._sign and not other._sign: |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
2842 return _NegativeOne |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2843 if not self._sign and other._sign: |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
2844 return _One |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2845 sign = self._sign |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2846 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2847 # let's handle both NaN types |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2848 self_nan = self._isnan() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2849 other_nan = other._isnan() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2850 if self_nan or other_nan: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2851 if self_nan == other_nan: |
|
55741
1f1b4c03e892
Merged revisions 74564 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
55519
diff
changeset
|
2852 # compare payloads as though they're integers |
|
1f1b4c03e892
Merged revisions 74564 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
55519
diff
changeset
|
2853 self_key = len(self._int), self._int |
|
1f1b4c03e892
Merged revisions 74564 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
55519
diff
changeset
|
2854 other_key = len(other._int), other._int |
|
1f1b4c03e892
Merged revisions 74564 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
55519
diff
changeset
|
2855 if self_key < other_key: |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2856 if sign: |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
2857 return _One |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2858 else: |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
2859 return _NegativeOne |
|
55741
1f1b4c03e892
Merged revisions 74564 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
55519
diff
changeset
|
2860 if self_key > other_key: |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2861 if sign: |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
2862 return _NegativeOne |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2863 else: |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
2864 return _One |
|
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
2865 return _Zero |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2866 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2867 if sign: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2868 if self_nan == 1: |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
2869 return _NegativeOne |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2870 if other_nan == 1: |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
2871 return _One |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2872 if self_nan == 2: |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
2873 return _NegativeOne |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2874 if other_nan == 2: |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
2875 return _One |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2876 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2877 if self_nan == 1: |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
2878 return _One |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2879 if other_nan == 1: |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
2880 return _NegativeOne |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2881 if self_nan == 2: |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
2882 return _One |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2883 if other_nan == 2: |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
2884 return _NegativeOne |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2885 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2886 if self < other: |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
2887 return _NegativeOne |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2888 if self > other: |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
2889 return _One |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2890 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2891 if self._exp < other._exp: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2892 if sign: |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
2893 return _One |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2894 else: |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
2895 return _NegativeOne |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2896 if self._exp > other._exp: |
|
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Facundo Batista <facundobatista@gmail.com>
parents:
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diff
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|
2897 if sign: |
|
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|
2898 return _NegativeOne |
|
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Facundo Batista <facundobatista@gmail.com>
parents:
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diff
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|
2899 else: |
|
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|
2900 return _One |
|
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|
2901 return _Zero |
|
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parents:
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diff
changeset
|
2902 |
|
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Decimal module and test cases were updated to their state of
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parents:
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diff
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|
2903 |
|
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Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2904 def compare_total_mag(self, other): |
|
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Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
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|
2905 """Compares self to other using abstract repr., ignoring sign. |
|
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Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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|
2906 |
|
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Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2907 Like compare_total, but with operand's sign ignored and assumed to be 0. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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|
2908 """ |
|
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|
2909 other = _convert_other(other, raiseit=True) |
|
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|
2910 |
|
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parents:
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diff
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|
2911 s = self.copy_abs() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
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|
2912 o = other.copy_abs() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
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|
2913 return s.compare_total(o) |
|
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Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2914 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2915 def copy_abs(self): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2916 """Returns a copy with the sign set to 0. """ |
|
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Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
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|
2917 return _dec_from_triple(0, self._int, self._exp, self._is_special) |
|
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Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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|
2918 |
|
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Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
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|
2919 def copy_negate(self): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2920 """Returns a copy with the sign inverted.""" |
|
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Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2921 if self._sign: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2922 return _dec_from_triple(0, self._int, self._exp, self._is_special) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
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|
2923 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
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|
2924 return _dec_from_triple(1, self._int, self._exp, self._is_special) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2925 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2926 def copy_sign(self, other): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
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|
2927 """Returns self with the sign of other.""" |
|
58934
e3d071233bef
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Mark Dickinson <dickinsm@gmail.com>
parents:
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changeset
|
2928 other = _convert_other(other, raiseit=True) |
|
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parents:
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diff
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|
2929 return _dec_from_triple(other._sign, self._int, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2930 self._exp, self._is_special) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2931 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2932 def exp(self, context=None): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2933 """Returns e ** self.""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2934 |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
2935 if context is None: |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
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diff
changeset
|
2936 context = getcontext() |
|
44600
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Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2937 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2938 # exp(NaN) = NaN |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2939 ans = self._check_nans(context=context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2940 if ans: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2941 return ans |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2942 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2943 # exp(-Infinity) = 0 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2944 if self._isinfinity() == -1: |
|
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changeset
|
2945 return _Zero |
|
44600
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parents:
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diff
changeset
|
2946 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2947 # exp(0) = 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2948 if not self: |
|
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|
2949 return _One |
|
44600
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parents:
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diff
changeset
|
2950 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2951 # exp(Infinity) = Infinity |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2952 if self._isinfinity() == 1: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2953 return Decimal(self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2954 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2955 # the result is now guaranteed to be inexact (the true |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2956 # mathematical result is transcendental). There's no need to |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2957 # raise Rounded and Inexact here---they'll always be raised as |
|
9a60bd8f00d6
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parents:
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diff
changeset
|
2958 # a result of the call to _fix. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2959 p = context.prec |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2960 adj = self.adjusted() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2961 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2962 # we only need to do any computation for quite a small range |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2963 # of adjusted exponents---for example, -29 <= adj <= 10 for |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2964 # the default context. For smaller exponent the result is |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2965 # indistinguishable from 1 at the given precision, while for |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2966 # larger exponent the result either overflows or underflows. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2967 if self._sign == 0 and adj > len(str((context.Emax+1)*3)): |
|
9a60bd8f00d6
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Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2968 # overflow |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2969 ans = _dec_from_triple(0, '1', context.Emax+1) |
|
9a60bd8f00d6
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diff
changeset
|
2970 elif self._sign == 1 and adj > len(str((-context.Etiny()+1)*3)): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2971 # underflow to 0 |
|
9a60bd8f00d6
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parents:
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diff
changeset
|
2972 ans = _dec_from_triple(0, '1', context.Etiny()-1) |
|
9a60bd8f00d6
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parents:
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diff
changeset
|
2973 elif self._sign == 0 and adj < -p: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2974 # p+1 digits; final round will raise correct flags |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2975 ans = _dec_from_triple(0, '1' + '0'*(p-1) + '1', -p) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2976 elif self._sign == 1 and adj < -p-1: |
|
9a60bd8f00d6
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parents:
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diff
changeset
|
2977 # p+1 digits; final round will raise correct flags |
|
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parents:
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diff
changeset
|
2978 ans = _dec_from_triple(0, '9'*(p+1), -p-1) |
|
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diff
changeset
|
2979 # general case |
|
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diff
changeset
|
2980 else: |
|
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Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2981 op = _WorkRep(self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2982 c, e = op.int, op.exp |
|
9a60bd8f00d6
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parents:
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diff
changeset
|
2983 if op.sign == 1: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2984 c = -c |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2985 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2986 # compute correctly rounded result: increase precision by |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2987 # 3 digits at a time until we get an unambiguously |
|
9a60bd8f00d6
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Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2988 # roundable result |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2989 extra = 3 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2990 while True: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2991 coeff, exp = _dexp(c, e, p+extra) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2992 if coeff % (5*10**(len(str(coeff))-p-1)): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2993 break |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2994 extra += 3 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2995 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
2996 ans = _dec_from_triple(0, str(coeff), exp) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2997 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
2998 # at this stage, ans should round correctly with *any* |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
2999 # rounding mode, not just with ROUND_HALF_EVEN |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
3000 context = context._shallow_copy() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3001 rounding = context._set_rounding(ROUND_HALF_EVEN) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
3002 ans = ans._fix(context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3003 context.rounding = rounding |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
3004 |
|
33803
d2e959404826
SF bug #1048728: Bug fixes and cleanup for decimal.py
Raymond Hettinger <python@rcn.com>
parents:
33722
diff
changeset
|
3005 return ans |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3006 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3007 def is_canonical(self): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3008 """Return True if self is canonical; otherwise return False. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3009 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3010 Currently, the encoding of a Decimal instance is always |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3011 canonical, so this method returns True for any Decimal. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3012 """ |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3013 return True |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3014 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3015 def is_finite(self): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3016 """Return True if self is finite; otherwise return False. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3017 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3018 A Decimal instance is considered finite if it is neither |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3019 infinite nor a NaN. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3020 """ |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3021 return not self._is_special |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3022 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3023 def is_infinite(self): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3024 """Return True if self is infinite; otherwise return False.""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3025 return self._exp == 'F' |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3026 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3027 def is_nan(self): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3028 """Return True if self is a qNaN or sNaN; otherwise return False.""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3029 return self._exp in ('n', 'N') |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3030 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3031 def is_normal(self, context=None): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3032 """Return True if self is a normal number; otherwise return False.""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3033 if self._is_special or not self: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3034 return False |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3035 if context is None: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3036 context = getcontext() |
|
56854
59505e7e7073
Merged revisions 75561 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
56836
diff
changeset
|
3037 return context.Emin <= self.adjusted() |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3038 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3039 def is_qnan(self): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3040 """Return True if self is a quiet NaN; otherwise return False.""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3041 return self._exp == 'n' |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3042 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3043 def is_signed(self): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3044 """Return True if self is negative; otherwise return False.""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3045 return self._sign == 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3046 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3047 def is_snan(self): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3048 """Return True if self is a signaling NaN; otherwise return False.""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3049 return self._exp == 'N' |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3050 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3051 def is_subnormal(self, context=None): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3052 """Return True if self is subnormal; otherwise return False.""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3053 if self._is_special or not self: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3054 return False |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3055 if context is None: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3056 context = getcontext() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3057 return self.adjusted() < context.Emin |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3058 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3059 def is_zero(self): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3060 """Return True if self is a zero; otherwise return False.""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3061 return not self._is_special and self._int == '0' |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3062 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3063 def _ln_exp_bound(self): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3064 """Compute a lower bound for the adjusted exponent of self.ln(). |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3065 In other words, compute r such that self.ln() >= 10**r. Assumes |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3066 that self is finite and positive and that self != 1. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3067 """ |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3068 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3069 # for 0.1 <= x <= 10 we use the inequalities 1-1/x <= ln(x) <= x-1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3070 adj = self._exp + len(self._int) - 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3071 if adj >= 1: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3072 # argument >= 10; we use 23/10 = 2.3 as a lower bound for ln(10) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3073 return len(str(adj*23//10)) - 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3074 if adj <= -2: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3075 # argument <= 0.1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3076 return len(str((-1-adj)*23//10)) - 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3077 op = _WorkRep(self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3078 c, e = op.int, op.exp |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3079 if adj == 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3080 # 1 < self < 10 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3081 num = str(c-10**-e) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3082 den = str(c) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3083 return len(num) - len(den) - (num < den) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3084 # adj == -1, 0.1 <= self < 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3085 return e + len(str(10**-e - c)) - 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3086 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3087 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3088 def ln(self, context=None): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3089 """Returns the natural (base e) logarithm of self.""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3090 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3091 if context is None: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3092 context = getcontext() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3093 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3094 # ln(NaN) = NaN |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3095 ans = self._check_nans(context=context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3096 if ans: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3097 return ans |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3098 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3099 # ln(0.0) == -Infinity |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3100 if not self: |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
3101 return _NegativeInfinity |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3102 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3103 # ln(Infinity) = Infinity |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3104 if self._isinfinity() == 1: |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
3105 return _Infinity |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3106 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3107 # ln(1.0) == 0.0 |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
3108 if self == _One: |
|
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
3109 return _Zero |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3110 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3111 # ln(negative) raises InvalidOperation |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3112 if self._sign == 1: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3113 return context._raise_error(InvalidOperation, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3114 'ln of a negative value') |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3115 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3116 # result is irrational, so necessarily inexact |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3117 op = _WorkRep(self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3118 c, e = op.int, op.exp |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3119 p = context.prec |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3120 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3121 # correctly rounded result: repeatedly increase precision by 3 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3122 # until we get an unambiguously roundable result |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3123 places = p - self._ln_exp_bound() + 2 # at least p+3 places |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3124 while True: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3125 coeff = _dlog(c, e, places) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3126 # assert len(str(abs(coeff)))-p >= 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3127 if coeff % (5*10**(len(str(abs(coeff)))-p-1)): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3128 break |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3129 places += 3 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3130 ans = _dec_from_triple(int(coeff<0), str(abs(coeff)), -places) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3131 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3132 context = context._shallow_copy() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3133 rounding = context._set_rounding(ROUND_HALF_EVEN) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3134 ans = ans._fix(context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3135 context.rounding = rounding |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3136 return ans |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3137 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3138 def _log10_exp_bound(self): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3139 """Compute a lower bound for the adjusted exponent of self.log10(). |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3140 In other words, find r such that self.log10() >= 10**r. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3141 Assumes that self is finite and positive and that self != 1. |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3142 """ |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3143 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3144 # For x >= 10 or x < 0.1 we only need a bound on the integer |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3145 # part of log10(self), and this comes directly from the |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3146 # exponent of x. For 0.1 <= x <= 10 we use the inequalities |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3147 # 1-1/x <= log(x) <= x-1. If x > 1 we have |log10(x)| > |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3148 # (1-1/x)/2.31 > 0. If x < 1 then |log10(x)| > (1-x)/2.31 > 0 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3149 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3150 adj = self._exp + len(self._int) - 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3151 if adj >= 1: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3152 # self >= 10 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3153 return len(str(adj))-1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3154 if adj <= -2: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3155 # self < 0.1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3156 return len(str(-1-adj))-1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3157 op = _WorkRep(self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3158 c, e = op.int, op.exp |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3159 if adj == 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3160 # 1 < self < 10 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3161 num = str(c-10**-e) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3162 den = str(231*c) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3163 return len(num) - len(den) - (num < den) + 2 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3164 # adj == -1, 0.1 <= self < 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3165 num = str(10**-e-c) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3166 return len(num) + e - (num < "231") - 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3167 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3168 def log10(self, context=None): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3169 """Returns the base 10 logarithm of self.""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3170 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3171 if context is None: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3172 context = getcontext() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3173 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3174 # log10(NaN) = NaN |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3175 ans = self._check_nans(context=context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3176 if ans: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3177 return ans |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3178 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3179 # log10(0.0) == -Infinity |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3180 if not self: |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
3181 return _NegativeInfinity |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3182 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3183 # log10(Infinity) = Infinity |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3184 if self._isinfinity() == 1: |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
3185 return _Infinity |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3186 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3187 # log10(negative or -Infinity) raises InvalidOperation |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3188 if self._sign == 1: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3189 return context._raise_error(InvalidOperation, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3190 'log10 of a negative value') |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3191 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3192 # log10(10**n) = n |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3193 if self._int[0] == '1' and self._int[1:] == '0'*(len(self._int) - 1): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3194 # answer may need rounding |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3195 ans = Decimal(self._exp + len(self._int) - 1) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3196 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3197 # result is irrational, so necessarily inexact |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3198 op = _WorkRep(self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3199 c, e = op.int, op.exp |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3200 p = context.prec |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3201 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3202 # correctly rounded result: repeatedly increase precision |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3203 # until result is unambiguously roundable |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3204 places = p-self._log10_exp_bound()+2 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3205 while True: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3206 coeff = _dlog10(c, e, places) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3207 # assert len(str(abs(coeff)))-p >= 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3208 if coeff % (5*10**(len(str(abs(coeff)))-p-1)): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3209 break |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3210 places += 3 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3211 ans = _dec_from_triple(int(coeff<0), str(abs(coeff)), -places) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3212 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3213 context = context._shallow_copy() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3214 rounding = context._set_rounding(ROUND_HALF_EVEN) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3215 ans = ans._fix(context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3216 context.rounding = rounding |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3217 return ans |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3218 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3219 def logb(self, context=None): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3220 """ Returns the exponent of the magnitude of self's MSD. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3221 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3222 The result is the integer which is the exponent of the magnitude |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3223 of the most significant digit of self (as though it were truncated |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3224 to a single digit while maintaining the value of that digit and |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3225 without limiting the resulting exponent). |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3226 """ |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3227 # logb(NaN) = NaN |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3228 ans = self._check_nans(context=context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3229 if ans: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3230 return ans |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3231 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3232 if context is None: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3233 context = getcontext() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3234 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3235 # logb(+/-Inf) = +Inf |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3236 if self._isinfinity(): |
|
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changeset
|
3237 return _Infinity |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3238 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3239 # logb(0) = -Inf, DivisionByZero |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3240 if not self: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3241 return context._raise_error(DivisionByZero, 'logb(0)', 1) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3242 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3243 # otherwise, simply return the adjusted exponent of self, as a |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3244 # Decimal. Note that no attempt is made to fit the result |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3245 # into the current context. |
|
56836
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|
3246 ans = Decimal(self.adjusted()) |
|
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|
3247 return ans._fix(context) |
|
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9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3248 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3249 def _islogical(self): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3250 """Return True if self is a logical operand. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3251 |
| 44701 | 3252 For being logical, it must be a finite number with a sign of 0, |
|
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9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3253 an exponent of 0, and a coefficient whose digits must all be |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3254 either 0 or 1. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3255 """ |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3256 if self._sign != 0 or self._exp != 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3257 return False |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3258 for dig in self._int: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3259 if dig not in '01': |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3260 return False |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3261 return True |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3262 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3263 def _fill_logical(self, context, opa, opb): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3264 dif = context.prec - len(opa) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3265 if dif > 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3266 opa = '0'*dif + opa |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3267 elif dif < 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3268 opa = opa[-context.prec:] |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3269 dif = context.prec - len(opb) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3270 if dif > 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3271 opb = '0'*dif + opb |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3272 elif dif < 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3273 opb = opb[-context.prec:] |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3274 return opa, opb |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3275 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3276 def logical_and(self, other, context=None): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3277 """Applies an 'and' operation between self and other's digits.""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3278 if context is None: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3279 context = getcontext() |
|
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|
3280 |
|
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|
3281 other = _convert_other(other, raiseit=True) |
|
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changeset
|
3282 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3283 if not self._islogical() or not other._islogical(): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3284 return context._raise_error(InvalidOperation) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3285 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3286 # fill to context.prec |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3287 (opa, opb) = self._fill_logical(context, self._int, other._int) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3288 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3289 # make the operation, and clean starting zeroes |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3290 result = "".join([str(int(a)&int(b)) for a,b in zip(opa,opb)]) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3291 return _dec_from_triple(0, result.lstrip('0') or '0', 0) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3292 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3293 def logical_invert(self, context=None): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3294 """Invert all its digits.""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3295 if context is None: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3296 context = getcontext() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3297 return self.logical_xor(_dec_from_triple(0,'1'*context.prec,0), |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3298 context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3299 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3300 def logical_or(self, other, context=None): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3301 """Applies an 'or' operation between self and other's digits.""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3302 if context is None: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3303 context = getcontext() |
|
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|
3304 |
|
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|
3305 other = _convert_other(other, raiseit=True) |
|
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|
3306 |
|
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diff
changeset
|
3307 if not self._islogical() or not other._islogical(): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3308 return context._raise_error(InvalidOperation) |
|
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Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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changeset
|
3309 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3310 # fill to context.prec |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3311 (opa, opb) = self._fill_logical(context, self._int, other._int) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3312 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
3313 # make the operation, and clean starting zeroes |
|
50601
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|
3314 result = "".join([str(int(a)|int(b)) for a,b in zip(opa,opb)]) |
|
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parents:
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|
3315 return _dec_from_triple(0, result.lstrip('0') or '0', 0) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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changeset
|
3316 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3317 def logical_xor(self, other, context=None): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3318 """Applies an 'xor' operation between self and other's digits.""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3319 if context is None: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3320 context = getcontext() |
|
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|
3321 |
|
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changeset
|
3322 other = _convert_other(other, raiseit=True) |
|
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changeset
|
3323 |
|
44600
9a60bd8f00d6
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parents:
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diff
changeset
|
3324 if not self._islogical() or not other._islogical(): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3325 return context._raise_error(InvalidOperation) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3326 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3327 # fill to context.prec |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3328 (opa, opb) = self._fill_logical(context, self._int, other._int) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3329 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3330 # make the operation, and clean starting zeroes |
|
50601
2be490abf333
Merged revisions 68317-68318 via svnmerge from
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parents:
50480
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changeset
|
3331 result = "".join([str(int(a)^int(b)) for a,b in zip(opa,opb)]) |
|
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parents:
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diff
changeset
|
3332 return _dec_from_triple(0, result.lstrip('0') or '0', 0) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3333 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
3334 def max_mag(self, other, context=None): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3335 """Compares the values numerically with their sign ignored.""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3336 other = _convert_other(other, raiseit=True) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
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|
3337 |
|
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Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3338 if context is None: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
3339 context = getcontext() |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
3340 |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
3341 if self._is_special or other._is_special: |
|
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Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3342 # If one operand is a quiet NaN and the other is number, then the |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
3343 # number is always returned |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
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diff
changeset
|
3344 sn = self._isnan() |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
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parents:
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diff
changeset
|
3345 on = other._isnan() |
|
139a4012bead
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Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
3346 if sn or on: |
|
50114
e35468bc4df4
Issue #4084: fix bug in handling of NaNs in Decimal.max, Decimal.min,
Mark Dickinson <dickinsm@gmail.com>
parents:
46089
diff
changeset
|
3347 if on == 1 and sn == 0: |
|
e35468bc4df4
Issue #4084: fix bug in handling of NaNs in Decimal.max, Decimal.min,
Mark Dickinson <dickinsm@gmail.com>
parents:
46089
diff
changeset
|
3348 return self._fix(context) |
|
e35468bc4df4
Issue #4084: fix bug in handling of NaNs in Decimal.max, Decimal.min,
Mark Dickinson <dickinsm@gmail.com>
parents:
46089
diff
changeset
|
3349 if sn == 1 and on == 0: |
|
e35468bc4df4
Issue #4084: fix bug in handling of NaNs in Decimal.max, Decimal.min,
Mark Dickinson <dickinsm@gmail.com>
parents:
46089
diff
changeset
|
3350 return other._fix(context) |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
3351 return self._check_nans(other, context) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3352 |
|
45201
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
3353 c = self.copy_abs()._cmp(other.copy_abs()) |
|
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9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
3354 if c == 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3355 c = self.compare_total(other) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3356 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3357 if c == -1: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3358 ans = other |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3359 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3360 ans = self |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3361 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3362 return ans._fix(context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3363 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3364 def min_mag(self, other, context=None): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3365 """Compares the values numerically with their sign ignored.""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3366 other = _convert_other(other, raiseit=True) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3367 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3368 if context is None: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3369 context = getcontext() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3370 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3371 if self._is_special or other._is_special: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3372 # If one operand is a quiet NaN and the other is number, then the |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3373 # number is always returned |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3374 sn = self._isnan() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3375 on = other._isnan() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3376 if sn or on: |
|
50114
e35468bc4df4
Issue #4084: fix bug in handling of NaNs in Decimal.max, Decimal.min,
Mark Dickinson <dickinsm@gmail.com>
parents:
46089
diff
changeset
|
3377 if on == 1 and sn == 0: |
|
e35468bc4df4
Issue #4084: fix bug in handling of NaNs in Decimal.max, Decimal.min,
Mark Dickinson <dickinsm@gmail.com>
parents:
46089
diff
changeset
|
3378 return self._fix(context) |
|
e35468bc4df4
Issue #4084: fix bug in handling of NaNs in Decimal.max, Decimal.min,
Mark Dickinson <dickinsm@gmail.com>
parents:
46089
diff
changeset
|
3379 if sn == 1 and on == 0: |
|
e35468bc4df4
Issue #4084: fix bug in handling of NaNs in Decimal.max, Decimal.min,
Mark Dickinson <dickinsm@gmail.com>
parents:
46089
diff
changeset
|
3380 return other._fix(context) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3381 return self._check_nans(other, context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3382 |
|
45201
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
3383 c = self.copy_abs()._cmp(other.copy_abs()) |
|
33157
b2f427db228b
Revise max() and min() to comply with the 8/2/2004 update to the specification
Raymond Hettinger <python@rcn.com>
parents:
33044
diff
changeset
|
3384 if c == 0: |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3385 c = self.compare_total(other) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3386 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3387 if c == -1: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3388 ans = self |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3389 else: |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3390 ans = other |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
3391 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3392 return ans._fix(context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3393 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3394 def next_minus(self, context=None): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3395 """Returns the largest representable number smaller than itself.""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3396 if context is None: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3397 context = getcontext() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3398 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3399 ans = self._check_nans(context=context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3400 if ans: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3401 return ans |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3402 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3403 if self._isinfinity() == -1: |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
3404 return _NegativeInfinity |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3405 if self._isinfinity() == 1: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3406 return _dec_from_triple(0, '9'*context.prec, context.Etop()) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3407 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3408 context = context.copy() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3409 context._set_rounding(ROUND_FLOOR) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3410 context._ignore_all_flags() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3411 new_self = self._fix(context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3412 if new_self != self: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3413 return new_self |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3414 return self.__sub__(_dec_from_triple(0, '1', context.Etiny()-1), |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3415 context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3416 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3417 def next_plus(self, context=None): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3418 """Returns the smallest representable number larger than itself.""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3419 if context is None: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3420 context = getcontext() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3421 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3422 ans = self._check_nans(context=context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3423 if ans: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3424 return ans |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3425 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3426 if self._isinfinity() == 1: |
|
50480
f2a5d7828b83
Merged revisions 68191 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
50471
diff
changeset
|
3427 return _Infinity |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3428 if self._isinfinity() == -1: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3429 return _dec_from_triple(1, '9'*context.prec, context.Etop()) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3430 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3431 context = context.copy() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3432 context._set_rounding(ROUND_CEILING) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3433 context._ignore_all_flags() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3434 new_self = self._fix(context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3435 if new_self != self: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3436 return new_self |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3437 return self.__add__(_dec_from_triple(0, '1', context.Etiny()-1), |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3438 context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3439 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3440 def next_toward(self, other, context=None): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3441 """Returns the number closest to self, in the direction towards other. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3442 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3443 The result is the closest representable number to self |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3444 (excluding self) that is in the direction towards other, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3445 unless both have the same value. If the two operands are |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3446 numerically equal, then the result is a copy of self with the |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3447 sign set to be the same as the sign of other. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3448 """ |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3449 other = _convert_other(other, raiseit=True) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3450 |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
3451 if context is None: |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
3452 context = getcontext() |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3453 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3454 ans = self._check_nans(other, context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3455 if ans: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3456 return ans |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3457 |
|
45201
f55a4f119141
Issue 1979: Make Decimal comparisons (other than !=, ==) involving NaN
Mark Dickinson <dickinsm@gmail.com>
parents:
44923
diff
changeset
|
3458 comparison = self._cmp(other) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3459 if comparison == 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3460 return self.copy_sign(other) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3461 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3462 if comparison == -1: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3463 ans = self.next_plus(context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3464 else: # comparison == 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3465 ans = self.next_minus(context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3466 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3467 # decide which flags to raise using value of ans |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3468 if ans._isinfinity(): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3469 context._raise_error(Overflow, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3470 'Infinite result from next_toward', |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3471 ans._sign) |
|
61212
ecc32e2f4656
Merged revisions 80753 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
58169
diff
changeset
|
3472 context._raise_error(Inexact) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3473 context._raise_error(Rounded) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3474 elif ans.adjusted() < context.Emin: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3475 context._raise_error(Underflow) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3476 context._raise_error(Subnormal) |
|
61212
ecc32e2f4656
Merged revisions 80753 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
58169
diff
changeset
|
3477 context._raise_error(Inexact) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3478 context._raise_error(Rounded) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3479 # if precision == 1 then we don't raise Clamped for a |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3480 # result 0E-Etiny. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3481 if not ans: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3482 context._raise_error(Clamped) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3483 |
|
33803
d2e959404826
SF bug #1048728: Bug fixes and cleanup for decimal.py
Raymond Hettinger <python@rcn.com>
parents:
33722
diff
changeset
|
3484 return ans |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3485 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3486 def number_class(self, context=None): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3487 """Returns an indication of the class of self. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3488 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3489 The class is one of the following strings: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3490 sNaN |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3491 NaN |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3492 -Infinity |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3493 -Normal |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3494 -Subnormal |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3495 -Zero |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3496 +Zero |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3497 +Subnormal |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3498 +Normal |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3499 +Infinity |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3500 """ |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3501 if self.is_snan(): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3502 return "sNaN" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3503 if self.is_qnan(): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3504 return "NaN" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3505 inf = self._isinfinity() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3506 if inf == 1: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3507 return "+Infinity" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3508 if inf == -1: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3509 return "-Infinity" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3510 if self.is_zero(): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3511 if self._sign: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3512 return "-Zero" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3513 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3514 return "+Zero" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3515 if context is None: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3516 context = getcontext() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3517 if self.is_subnormal(context=context): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3518 if self._sign: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3519 return "-Subnormal" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3520 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3521 return "+Subnormal" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3522 # just a normal, regular, boring number, :) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3523 if self._sign: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3524 return "-Normal" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3525 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3526 return "+Normal" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3527 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3528 def radix(self): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3529 """Just returns 10, as this is Decimal, :)""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3530 return Decimal(10) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3531 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3532 def rotate(self, other, context=None): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3533 """Returns a rotated copy of self, value-of-other times.""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3534 if context is None: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3535 context = getcontext() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3536 |
|
56971
53e38005d507
Merged revisions 75943-75945 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
56854
diff
changeset
|
3537 other = _convert_other(other, raiseit=True) |
|
53e38005d507
Merged revisions 75943-75945 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
56854
diff
changeset
|
3538 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3539 ans = self._check_nans(other, context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3540 if ans: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3541 return ans |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3542 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3543 if other._exp != 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3544 return context._raise_error(InvalidOperation) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3545 if not (-context.prec <= int(other) <= context.prec): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3546 return context._raise_error(InvalidOperation) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3547 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3548 if self._isinfinity(): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3549 return Decimal(self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3550 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3551 # get values, pad if necessary |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3552 torot = int(other) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3553 rotdig = self._int |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3554 topad = context.prec - len(rotdig) |
|
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changeset
|
3555 if topad > 0: |
|
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parents:
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diff
changeset
|
3556 rotdig = '0'*topad + rotdig |
|
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|
3557 elif topad < 0: |
|
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|
3558 rotdig = rotdig[-topad:] |
|
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Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3559 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3560 # let's rotate! |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3561 rotated = rotdig[torot:] + rotdig[:torot] |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3562 return _dec_from_triple(self._sign, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3563 rotated.lstrip('0') or '0', self._exp) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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|
3564 |
|
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|
3565 def scaleb(self, other, context=None): |
|
44600
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Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3566 """Returns self operand after adding the second value to its exp.""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3567 if context is None: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3568 context = getcontext() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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changeset
|
3569 |
|
56971
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changeset
|
3570 other = _convert_other(other, raiseit=True) |
|
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changeset
|
3571 |
|
44600
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parents:
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changeset
|
3572 ans = self._check_nans(other, context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3573 if ans: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3574 return ans |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3575 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3576 if other._exp != 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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|
3577 return context._raise_error(InvalidOperation) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
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|
3578 liminf = -2 * (context.Emax + context.prec) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
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|
3579 limsup = 2 * (context.Emax + context.prec) |
|
9a60bd8f00d6
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Facundo Batista <facundobatista@gmail.com>
parents:
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|
3580 if not (liminf <= int(other) <= limsup): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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|
3581 return context._raise_error(InvalidOperation) |
|
9a60bd8f00d6
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Facundo Batista <facundobatista@gmail.com>
parents:
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changeset
|
3582 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3583 if self._isinfinity(): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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|
3584 return Decimal(self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3585 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
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|
3586 d = _dec_from_triple(self._sign, self._int, self._exp + int(other)) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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|
3587 d = d._fix(context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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|
3588 return d |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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changeset
|
3589 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3590 def shift(self, other, context=None): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
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|
3591 """Returns a shifted copy of self, value-of-other times.""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3592 if context is None: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3593 context = getcontext() |
|
9a60bd8f00d6
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|
3594 |
|
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|
3595 other = _convert_other(other, raiseit=True) |
|
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|
3596 |
|
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|
3597 ans = self._check_nans(other, context) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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|
3598 if ans: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3599 return ans |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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changeset
|
3600 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3601 if other._exp != 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3602 return context._raise_error(InvalidOperation) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
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|
3603 if not (-context.prec <= int(other) <= context.prec): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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changeset
|
3604 return context._raise_error(InvalidOperation) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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|
3605 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3606 if self._isinfinity(): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3607 return Decimal(self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3608 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3609 # get values, pad if necessary |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3610 torot = int(other) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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changeset
|
3611 rotdig = self._int |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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changeset
|
3612 topad = context.prec - len(rotdig) |
|
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|
3613 if topad > 0: |
|
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|
3614 rotdig = '0'*topad + rotdig |
|
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|
3615 elif topad < 0: |
|
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|
3616 rotdig = rotdig[-topad:] |
|
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changeset
|
3617 |
|
9a60bd8f00d6
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Facundo Batista <facundobatista@gmail.com>
parents:
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changeset
|
3618 # let's shift! |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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|
3619 if torot < 0: |
|
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|
3620 shifted = rotdig[:torot] |
|
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|
3621 else: |
|
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|
3622 shifted = rotdig + '0'*torot |
|
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|
3623 shifted = shifted[-context.prec:] |
|
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Facundo Batista <facundobatista@gmail.com>
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|
3624 |
|
9a60bd8f00d6
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changeset
|
3625 return _dec_from_triple(self._sign, |
|
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|
3626 shifted.lstrip('0') or '0', self._exp) |
|
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|
3627 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
3628 # Support for pickling, copy, and deepcopy |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
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changeset
|
3629 def __reduce__(self): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
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diff
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|
3630 return (self.__class__, (str(self),)) |
|
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Move Decimal from the sandbox into production.
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|
3631 |
|
d2c1c7ae7cf4
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changeset
|
3632 def __copy__(self): |
|
58485
fbfe5e42349f
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Benjamin Peterson <benjamin@python.org>
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diff
changeset
|
3633 if type(self) is Decimal: |
|
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1d7da8608031
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Martin v. Löwis <martin@v.loewis.de>
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|
3634 return self # I'm immutable; therefore I am my own clone |
|
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Move Decimal from the sandbox into production.
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|
3635 return self.__class__(str(self)) |
|
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|
3636 |
|
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changeset
|
3637 def __deepcopy__(self, memo): |
|
58485
fbfe5e42349f
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diff
changeset
|
3638 if type(self) is Decimal: |
|
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diff
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|
3639 return self # My components are also immutable |
|
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Raymond Hettinger <python@rcn.com>
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|
3640 return self.__class__(str(self)) |
|
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|
3641 |
|
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changeset
|
3642 # PEP 3101 support. the _localeconv keyword argument should be |
|
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changeset
|
3643 # considered private: it's provided for ease of testing only. |
|
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changeset
|
3644 def __format__(self, specifier, context=None, _localeconv=None): |
| 45568 | 3645 """Format a Decimal instance according to the given specifier. |
|
45566
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changeset
|
3646 |
|
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changeset
|
3647 The specifier should be a standard format specifier, with the |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
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changeset
|
3648 form described in PEP 3101. Formatting types 'e', 'E', 'f', |
|
52195
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changeset
|
3649 'F', 'g', 'G', 'n' and '%' are supported. If the formatting |
|
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changeset
|
3650 type is omitted it defaults to 'g' or 'G', depending on the |
|
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changeset
|
3651 value of context.capitals. |
|
45566
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changeset
|
3652 """ |
|
bce4c40df7df
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changeset
|
3653 |
|
bce4c40df7df
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diff
changeset
|
3654 # Note: PEP 3101 says that if the type is not present then |
|
bce4c40df7df
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diff
changeset
|
3655 # there should be at least one digit after the decimal point. |
|
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parents:
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diff
changeset
|
3656 # We take the liberty of ignoring this requirement for |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
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parents:
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diff
changeset
|
3657 # Decimal---it's presumably there to make sure that |
|
bce4c40df7df
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parents:
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diff
changeset
|
3658 # format(float, '') behaves similarly to str(float). |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
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parents:
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diff
changeset
|
3659 if context is None: |
|
bce4c40df7df
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diff
changeset
|
3660 context = getcontext() |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3661 |
|
52195
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
3662 spec = _parse_format_specifier(specifier, _localeconv=_localeconv) |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
3663 |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
3664 # special values don't care about the type or precision |
|
45566
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3665 if self._is_special: |
|
52195
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
3666 sign = _format_sign(self._sign, spec) |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
3667 body = str(self.copy_abs()) |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
3668 return _format_align(sign, body, spec) |
|
45566
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3669 |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3670 # a type of None defaults to 'g' or 'G', depending on context |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3671 if spec['type'] is None: |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3672 spec['type'] = ['g', 'G'][context.capitals] |
|
52195
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
3673 |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
3674 # if type is '%', adjust exponent of self accordingly |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
3675 if spec['type'] == '%': |
|
45566
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3676 self = _dec_from_triple(self._sign, self._int, self._exp+2) |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3677 |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3678 # round if necessary, taking rounding mode from the context |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3679 rounding = context.rounding |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3680 precision = spec['precision'] |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3681 if precision is not None: |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3682 if spec['type'] in 'eE': |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3683 self = self._round(precision+1, rounding) |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3684 elif spec['type'] in 'fF%': |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3685 self = self._rescale(-precision, rounding) |
|
52195
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Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
3686 elif spec['type'] in 'gG' and len(self._int) > precision: |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
3687 self = self._round(precision, rounding) |
|
45566
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3688 # special case: zeros with a positive exponent can't be |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3689 # represented in fixed point; rescale them to 0e0. |
|
52195
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
3690 if not self and self._exp > 0 and spec['type'] in 'fF%': |
|
45566
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3691 self = self._rescale(0, rounding) |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3692 |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3693 # figure out placement of the decimal point |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3694 leftdigits = self._exp + len(self._int) |
|
52195
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
3695 if spec['type'] in 'eE': |
|
45566
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3696 if not self and precision is not None: |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3697 dotplace = 1 - precision |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3698 else: |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3699 dotplace = 1 |
|
52195
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Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
3700 elif spec['type'] in 'fF%': |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
3701 dotplace = leftdigits |
|
45566
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3702 elif spec['type'] in 'gG': |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3703 if self._exp <= 0 and leftdigits > -6: |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3704 dotplace = leftdigits |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3705 else: |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3706 dotplace = 1 |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3707 |
|
52195
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
3708 # find digits before and after decimal point, and get exponent |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
3709 if dotplace < 0: |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
3710 intpart = '0' |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
3711 fracpart = '0'*(-dotplace) + self._int |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
3712 elif dotplace > len(self._int): |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
3713 intpart = self._int + '0'*(dotplace-len(self._int)) |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
3714 fracpart = '' |
|
45566
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3715 else: |
|
52195
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
3716 intpart = self._int[:dotplace] or '0' |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
3717 fracpart = self._int[dotplace:] |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
3718 exp = leftdigits-dotplace |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
3719 |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
3720 # done with the decimal-specific stuff; hand over the rest |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
3721 # of the formatting to the _format_number function |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
3722 return _format_number(self._sign, intpart, fracpart, exp, spec) |
|
45566
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
3723 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3724 def _dec_from_triple(sign, coefficient, exponent, special=False): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3725 """Create a decimal instance directly, without any validation, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3726 normalization (e.g. removal of leading zeros) or argument |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3727 conversion. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3728 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3729 This function is for *internal use only*. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3730 """ |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3731 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3732 self = object.__new__(Decimal) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3733 self._sign = sign |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3734 self._int = coefficient |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3735 self._exp = exponent |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3736 self._is_special = special |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3737 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3738 return self |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3739 |
|
51294
aea90f5f398b
Register decimals as numbers.Number
Raymond Hettinger <python@rcn.com>
parents:
51028
diff
changeset
|
3740 # Register Decimal as a kind of Number (an abstract base class). |
|
aea90f5f398b
Register decimals as numbers.Number
Raymond Hettinger <python@rcn.com>
parents:
51028
diff
changeset
|
3741 # However, do not register it as Real (because Decimals are not |
|
aea90f5f398b
Register decimals as numbers.Number
Raymond Hettinger <python@rcn.com>
parents:
51028
diff
changeset
|
3742 # interoperable with floats). |
|
aea90f5f398b
Register decimals as numbers.Number
Raymond Hettinger <python@rcn.com>
parents:
51028
diff
changeset
|
3743 _numbers.Number.register(Decimal) |
|
aea90f5f398b
Register decimals as numbers.Number
Raymond Hettinger <python@rcn.com>
parents:
51028
diff
changeset
|
3744 |
|
aea90f5f398b
Register decimals as numbers.Number
Raymond Hettinger <python@rcn.com>
parents:
51028
diff
changeset
|
3745 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3746 ##### Context class ####################################################### |
|
39120
1d7da8608031
Revert r50706 (Whitespace normalization) and
Martin v. Löwis <martin@v.loewis.de>
parents:
39117
diff
changeset
|
3747 |
|
39729
4cec45bd6663
Backport of decimal module context management updates from rev 51694 to 2.5 release branch
Nick Coghlan <ncoghlan@gmail.com>
parents:
39120
diff
changeset
|
3748 class _ContextManager(object): |
|
4cec45bd6663
Backport of decimal module context management updates from rev 51694 to 2.5 release branch
Nick Coghlan <ncoghlan@gmail.com>
parents:
39120
diff
changeset
|
3749 """Context manager class to support localcontext(). |
|
4cec45bd6663
Backport of decimal module context management updates from rev 51694 to 2.5 release branch
Nick Coghlan <ncoghlan@gmail.com>
parents:
39120
diff
changeset
|
3750 |
|
4cec45bd6663
Backport of decimal module context management updates from rev 51694 to 2.5 release branch
Nick Coghlan <ncoghlan@gmail.com>
parents:
39120
diff
changeset
|
3751 Sets a copy of the supplied context in __enter__() and restores |
|
4cec45bd6663
Backport of decimal module context management updates from rev 51694 to 2.5 release branch
Nick Coghlan <ncoghlan@gmail.com>
parents:
39120
diff
changeset
|
3752 the previous decimal context in __exit__() |
|
36737
fa92fe15251a
Updates to the with-statement:
Guido van Rossum <guido@python.org>
parents:
35379
diff
changeset
|
3753 """ |
|
fa92fe15251a
Updates to the with-statement:
Guido van Rossum <guido@python.org>
parents:
35379
diff
changeset
|
3754 def __init__(self, new_context): |
|
39729
4cec45bd6663
Backport of decimal module context management updates from rev 51694 to 2.5 release branch
Nick Coghlan <ncoghlan@gmail.com>
parents:
39120
diff
changeset
|
3755 self.new_context = new_context.copy() |
|
36737
fa92fe15251a
Updates to the with-statement:
Guido van Rossum <guido@python.org>
parents:
35379
diff
changeset
|
3756 def __enter__(self): |
|
fa92fe15251a
Updates to the with-statement:
Guido van Rossum <guido@python.org>
parents:
35379
diff
changeset
|
3757 self.saved_context = getcontext() |
|
fa92fe15251a
Updates to the with-statement:
Guido van Rossum <guido@python.org>
parents:
35379
diff
changeset
|
3758 setcontext(self.new_context) |
|
fa92fe15251a
Updates to the with-statement:
Guido van Rossum <guido@python.org>
parents:
35379
diff
changeset
|
3759 return self.new_context |
|
fa92fe15251a
Updates to the with-statement:
Guido van Rossum <guido@python.org>
parents:
35379
diff
changeset
|
3760 def __exit__(self, t, v, tb): |
|
fa92fe15251a
Updates to the with-statement:
Guido van Rossum <guido@python.org>
parents:
35379
diff
changeset
|
3761 setcontext(self.saved_context) |
|
fa92fe15251a
Updates to the with-statement:
Guido van Rossum <guido@python.org>
parents:
35379
diff
changeset
|
3762 |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3763 class Context(object): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3764 """Contains the context for a Decimal instance. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3765 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3766 Contains: |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3767 prec - precision (for use in rounding, division, square roots..) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3768 rounding - rounding type (how you round) |
|
32576
83cbc025bfc7
Improve Context construction and representation:
Raymond Hettinger <python@rcn.com>
parents:
32561
diff
changeset
|
3769 traps - If traps[exception] = 1, then the exception is |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3770 raised when it is caused. Otherwise, a value is |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3771 substituted in. |
|
46643
ec09ad5bed1a
Backport Raymond's changes in r60508 to Python 2.6.
Mark Dickinson <dickinsm@gmail.com>
parents:
46625
diff
changeset
|
3772 flags - When an exception is caused, flags[exception] is set. |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3773 (Whether or not the trap_enabler is set) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3774 Should be reset by user of Decimal instance. |
|
32489
ab0a2b74ddfd
Changed the rounding constant values to match their variable names.
Raymond Hettinger <python@rcn.com>
parents:
32487
diff
changeset
|
3775 Emin - Minimum exponent |
|
ab0a2b74ddfd
Changed the rounding constant values to match their variable names.
Raymond Hettinger <python@rcn.com>
parents:
32487
diff
changeset
|
3776 Emax - Maximum exponent |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3777 capitals - If 1, 1*10^1 is printed as 1E+1. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3778 If 0, printed as 1e1 |
| 32496 | 3779 _clamp - If 1, change exponents if too high (Default 0) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3780 """ |
| 32482 | 3781 |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3782 def __init__(self, prec=None, rounding=None, |
|
33722
74a57e6684f3
Don't use mutable values for method defaults.
Raymond Hettinger <python@rcn.com>
parents:
33695
diff
changeset
|
3783 traps=None, flags=None, |
|
32489
ab0a2b74ddfd
Changed the rounding constant values to match their variable names.
Raymond Hettinger <python@rcn.com>
parents:
32487
diff
changeset
|
3784 Emin=None, Emax=None, |
| 32496 | 3785 capitals=None, _clamp=0, |
|
33722
74a57e6684f3
Don't use mutable values for method defaults.
Raymond Hettinger <python@rcn.com>
parents:
33695
diff
changeset
|
3786 _ignored_flags=None): |
|
62872
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3787 # Set defaults; for everything except flags and _ignored_flags, |
|
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3788 # inherit from DefaultContext. |
|
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3789 try: |
|
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3790 dc = DefaultContext |
|
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3791 except NameError: |
|
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3792 pass |
|
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3793 |
|
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3794 self.prec = prec if prec is not None else dc.prec |
|
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3795 self.rounding = rounding if rounding is not None else dc.rounding |
|
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3796 self.Emin = Emin if Emin is not None else dc.Emin |
|
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3797 self.Emax = Emax if Emax is not None else dc.Emax |
|
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3798 self.capitals = capitals if capitals is not None else dc.capitals |
|
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3799 self._clamp = _clamp if _clamp is not None else dc._clamp |
|
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3800 |
|
33722
74a57e6684f3
Don't use mutable values for method defaults.
Raymond Hettinger <python@rcn.com>
parents:
33695
diff
changeset
|
3801 if _ignored_flags is None: |
|
62872
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3802 self._ignored_flags = [] |
|
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3803 else: |
|
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3804 self._ignored_flags = _ignored_flags |
|
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3805 |
|
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3806 if traps is None: |
|
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3807 self.traps = dc.traps.copy() |
|
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3808 elif not isinstance(traps, dict): |
|
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3809 self.traps = dict((s, int(s in traps)) for s in _signals) |
|
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3810 else: |
|
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3811 self.traps = traps |
|
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3812 |
|
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3813 if flags is None: |
|
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3814 self.flags = dict.fromkeys(_signals, 0) |
|
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3815 elif not isinstance(flags, dict): |
|
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3816 self.flags = dict((s, int(s in flags)) for s in _signals) |
|
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3817 else: |
|
974f8d8bc0d4
Issue #9136: Fix 'dictionary changed size during iteration'
Mark Dickinson <dickinsm@gmail.com>
parents:
62868
diff
changeset
|
3818 self.flags = flags |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3819 |
|
32487
fa23a9b18967
Fix clear_flags(). Make a readable (not evalable) Context repr.
Raymond Hettinger <python@rcn.com>
parents:
32482
diff
changeset
|
3820 def __repr__(self): |
|
32576
83cbc025bfc7
Improve Context construction and representation:
Raymond Hettinger <python@rcn.com>
parents:
32561
diff
changeset
|
3821 """Show the current context.""" |
|
32487
fa23a9b18967
Fix clear_flags(). Make a readable (not evalable) Context repr.
Raymond Hettinger <python@rcn.com>
parents:
32482
diff
changeset
|
3822 s = [] |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3823 s.append('Context(prec=%(prec)d, rounding=%(rounding)s, ' |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3824 'Emin=%(Emin)d, Emax=%(Emax)d, capitals=%(capitals)d' |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3825 % vars(self)) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3826 names = [f.__name__ for f, v in self.flags.items() if v] |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3827 s.append('flags=[' + ', '.join(names) + ']') |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3828 names = [t.__name__ for t, v in self.traps.items() if v] |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3829 s.append('traps=[' + ', '.join(names) + ']') |
|
32487
fa23a9b18967
Fix clear_flags(). Make a readable (not evalable) Context repr.
Raymond Hettinger <python@rcn.com>
parents:
32482
diff
changeset
|
3830 return ', '.join(s) + ')' |
|
fa23a9b18967
Fix clear_flags(). Make a readable (not evalable) Context repr.
Raymond Hettinger <python@rcn.com>
parents:
32482
diff
changeset
|
3831 |
|
32477
bc586db9945a
Work through several open todos:
Raymond Hettinger <python@rcn.com>
parents:
32456
diff
changeset
|
3832 def clear_flags(self): |
|
bc586db9945a
Work through several open todos:
Raymond Hettinger <python@rcn.com>
parents:
32456
diff
changeset
|
3833 """Reset all flags to zero""" |
|
bc586db9945a
Work through several open todos:
Raymond Hettinger <python@rcn.com>
parents:
32456
diff
changeset
|
3834 for flag in self.flags: |
|
32487
fa23a9b18967
Fix clear_flags(). Make a readable (not evalable) Context repr.
Raymond Hettinger <python@rcn.com>
parents:
32482
diff
changeset
|
3835 self.flags[flag] = 0 |
|
32477
bc586db9945a
Work through several open todos:
Raymond Hettinger <python@rcn.com>
parents:
32456
diff
changeset
|
3836 |
|
33044
2749334d71a4
* Context.copy() now makes a deepcopy.
Raymond Hettinger <python@rcn.com>
parents:
32980
diff
changeset
|
3837 def _shallow_copy(self): |
|
2749334d71a4
* Context.copy() now makes a deepcopy.
Raymond Hettinger <python@rcn.com>
parents:
32980
diff
changeset
|
3838 """Returns a shallow copy from self.""" |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3839 nc = Context(self.prec, self.rounding, self.traps, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3840 self.flags, self.Emin, self.Emax, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3841 self.capitals, self._clamp, self._ignored_flags) |
|
33044
2749334d71a4
* Context.copy() now makes a deepcopy.
Raymond Hettinger <python@rcn.com>
parents:
32980
diff
changeset
|
3842 return nc |
|
2749334d71a4
* Context.copy() now makes a deepcopy.
Raymond Hettinger <python@rcn.com>
parents:
32980
diff
changeset
|
3843 |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3844 def copy(self): |
|
33044
2749334d71a4
* Context.copy() now makes a deepcopy.
Raymond Hettinger <python@rcn.com>
parents:
32980
diff
changeset
|
3845 """Returns a deep copy from self.""" |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3846 nc = Context(self.prec, self.rounding, self.traps.copy(), |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3847 self.flags.copy(), self.Emin, self.Emax, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3848 self.capitals, self._clamp, self._ignored_flags) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3849 return nc |
| 32482 | 3850 __copy__ = copy |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3851 |
| 32560 | 3852 def _raise_error(self, condition, explanation = None, *args): |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3853 """Handles an error |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3854 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3855 If the flag is in _ignored_flags, returns the default response. |
|
46643
ec09ad5bed1a
Backport Raymond's changes in r60508 to Python 2.6.
Mark Dickinson <dickinsm@gmail.com>
parents:
46625
diff
changeset
|
3856 Otherwise, it sets the flag, then, if the corresponding |
|
61744
68525ef36b66
Merged revisions 81350 via svnmerge from
Stefan Krah <stefan@bytereef.org>
parents:
61212
diff
changeset
|
3857 trap_enabler is set, it reraises the exception. Otherwise, it returns |
|
46643
ec09ad5bed1a
Backport Raymond's changes in r60508 to Python 2.6.
Mark Dickinson <dickinsm@gmail.com>
parents:
46625
diff
changeset
|
3858 the default value after setting the flag. |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3859 """ |
| 32560 | 3860 error = _condition_map.get(condition, condition) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3861 if error in self._ignored_flags: |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3862 # Don't touch the flag |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3863 return error().handle(self, *args) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3864 |
|
46643
ec09ad5bed1a
Backport Raymond's changes in r60508 to Python 2.6.
Mark Dickinson <dickinsm@gmail.com>
parents:
46625
diff
changeset
|
3865 self.flags[error] = 1 |
|
32576
83cbc025bfc7
Improve Context construction and representation:
Raymond Hettinger <python@rcn.com>
parents:
32561
diff
changeset
|
3866 if not self.traps[error]: |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3867 # The errors define how to handle themselves. |
| 32560 | 3868 return condition().handle(self, *args) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3869 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3870 # Errors should only be risked on copies of the context |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3871 # self._ignored_flags = [] |
|
46651
c97e36abcdd5
Some very minor changes to decimal.py in Python 2.6, aimed
Mark Dickinson <dickinsm@gmail.com>
parents:
46643
diff
changeset
|
3872 raise error(explanation) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3873 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3874 def _ignore_all_flags(self): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3875 """Ignore all flags, if they are raised""" |
|
32666
c13d911ae05b
* Rename "Signals" to "_signals" making it non-public.
Raymond Hettinger <python@rcn.com>
parents:
32576
diff
changeset
|
3876 return self._ignore_flags(*_signals) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3877 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3878 def _ignore_flags(self, *flags): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3879 """Ignore the flags, if they are raised""" |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3880 # Do not mutate-- This way, copies of a context leave the original |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3881 # alone. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3882 self._ignored_flags = (self._ignored_flags + list(flags)) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3883 return list(flags) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3884 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3885 def _regard_flags(self, *flags): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3886 """Stop ignoring the flags, if they are raised""" |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3887 if flags and isinstance(flags[0], (tuple,list)): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3888 flags = flags[0] |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3889 for flag in flags: |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3890 self._ignored_flags.remove(flag) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3891 |
|
47961
f9b80a820a25
Issue 2235: __hash__ is once again inherited by default, but inheritance can be blocked explicitly so that collections.Hashable remains meaningful
Nick Coghlan <ncoghlan@gmail.com>
parents:
47872
diff
changeset
|
3892 # We inherit object.__hash__, so we must deny this explicitly |
|
f9b80a820a25
Issue 2235: __hash__ is once again inherited by default, but inheritance can be blocked explicitly so that collections.Hashable remains meaningful
Nick Coghlan <ncoghlan@gmail.com>
parents:
47872
diff
changeset
|
3893 __hash__ = None |
| 32560 | 3894 |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3895 def Etiny(self): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3896 """Returns Etiny (= Emin - prec + 1)""" |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3897 return int(self.Emin - self.prec + 1) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3898 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3899 def Etop(self): |
| 32496 | 3900 """Returns maximum exponent (= Emax - prec + 1)""" |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3901 return int(self.Emax - self.prec + 1) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3902 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3903 def _set_rounding(self, type): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3904 """Sets the rounding type. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3905 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3906 Sets the rounding type, and returns the current (previous) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3907 rounding type. Often used like: |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3908 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3909 context = context.copy() |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3910 # so you don't change the calling context |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3911 # if an error occurs in the middle. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3912 rounding = context._set_rounding(ROUND_UP) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3913 val = self.__sub__(other, context=context) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3914 context._set_rounding(rounding) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3915 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3916 This will make it round up for that operation. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3917 """ |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3918 rounding = self.rounding |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3919 self.rounding= type |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3920 return rounding |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3921 |
|
32666
c13d911ae05b
* Rename "Signals" to "_signals" making it non-public.
Raymond Hettinger <python@rcn.com>
parents:
32576
diff
changeset
|
3922 def create_decimal(self, num='0'): |
|
44650
7b798548a4ad
Issue 1780: Allow leading and trailing whitespace in Decimal constructor,
Mark Dickinson <dickinsm@gmail.com>
parents:
44631
diff
changeset
|
3923 """Creates a new Decimal instance but using self as context. |
|
7b798548a4ad
Issue 1780: Allow leading and trailing whitespace in Decimal constructor,
Mark Dickinson <dickinsm@gmail.com>
parents:
44631
diff
changeset
|
3924 |
|
7b798548a4ad
Issue 1780: Allow leading and trailing whitespace in Decimal constructor,
Mark Dickinson <dickinsm@gmail.com>
parents:
44631
diff
changeset
|
3925 This method implements the to-number operation of the |
|
7b798548a4ad
Issue 1780: Allow leading and trailing whitespace in Decimal constructor,
Mark Dickinson <dickinsm@gmail.com>
parents:
44631
diff
changeset
|
3926 IBM Decimal specification.""" |
|
7b798548a4ad
Issue 1780: Allow leading and trailing whitespace in Decimal constructor,
Mark Dickinson <dickinsm@gmail.com>
parents:
44631
diff
changeset
|
3927 |
|
7b798548a4ad
Issue 1780: Allow leading and trailing whitespace in Decimal constructor,
Mark Dickinson <dickinsm@gmail.com>
parents:
44631
diff
changeset
|
3928 if isinstance(num, basestring) and num != num.strip(): |
|
7b798548a4ad
Issue 1780: Allow leading and trailing whitespace in Decimal constructor,
Mark Dickinson <dickinsm@gmail.com>
parents:
44631
diff
changeset
|
3929 return self._raise_error(ConversionSyntax, |
|
7b798548a4ad
Issue 1780: Allow leading and trailing whitespace in Decimal constructor,
Mark Dickinson <dickinsm@gmail.com>
parents:
44631
diff
changeset
|
3930 "no trailing or leading whitespace is " |
|
7b798548a4ad
Issue 1780: Allow leading and trailing whitespace in Decimal constructor,
Mark Dickinson <dickinsm@gmail.com>
parents:
44631
diff
changeset
|
3931 "permitted.") |
|
7b798548a4ad
Issue 1780: Allow leading and trailing whitespace in Decimal constructor,
Mark Dickinson <dickinsm@gmail.com>
parents:
44631
diff
changeset
|
3932 |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3933 d = Decimal(num, context=self) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3934 if d._isnan() and len(d._int) > self.prec - self._clamp: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3935 return self._raise_error(ConversionSyntax, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3936 "diagnostic info too long in NaN") |
| 33695 | 3937 return d._fix(self) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3938 |
|
50496
7a6e3bc60ba6
Issue 4796: Add from_float methods to the decimal module.
Raymond Hettinger <python@rcn.com>
parents:
50480
diff
changeset
|
3939 def create_decimal_from_float(self, f): |
|
7a6e3bc60ba6
Issue 4796: Add from_float methods to the decimal module.
Raymond Hettinger <python@rcn.com>
parents:
50480
diff
changeset
|
3940 """Creates a new Decimal instance from a float but rounding using self |
|
7a6e3bc60ba6
Issue 4796: Add from_float methods to the decimal module.
Raymond Hettinger <python@rcn.com>
parents:
50480
diff
changeset
|
3941 as the context. |
|
7a6e3bc60ba6
Issue 4796: Add from_float methods to the decimal module.
Raymond Hettinger <python@rcn.com>
parents:
50480
diff
changeset
|
3942 |
|
7a6e3bc60ba6
Issue 4796: Add from_float methods to the decimal module.
Raymond Hettinger <python@rcn.com>
parents:
50480
diff
changeset
|
3943 >>> context = Context(prec=5, rounding=ROUND_DOWN) |
|
7a6e3bc60ba6
Issue 4796: Add from_float methods to the decimal module.
Raymond Hettinger <python@rcn.com>
parents:
50480
diff
changeset
|
3944 >>> context.create_decimal_from_float(3.1415926535897932) |
|
7a6e3bc60ba6
Issue 4796: Add from_float methods to the decimal module.
Raymond Hettinger <python@rcn.com>
parents:
50480
diff
changeset
|
3945 Decimal('3.1415') |
|
7a6e3bc60ba6
Issue 4796: Add from_float methods to the decimal module.
Raymond Hettinger <python@rcn.com>
parents:
50480
diff
changeset
|
3946 >>> context = Context(prec=5, traps=[Inexact]) |
|
7a6e3bc60ba6
Issue 4796: Add from_float methods to the decimal module.
Raymond Hettinger <python@rcn.com>
parents:
50480
diff
changeset
|
3947 >>> context.create_decimal_from_float(3.1415926535897932) |
|
7a6e3bc60ba6
Issue 4796: Add from_float methods to the decimal module.
Raymond Hettinger <python@rcn.com>
parents:
50480
diff
changeset
|
3948 Traceback (most recent call last): |
|
7a6e3bc60ba6
Issue 4796: Add from_float methods to the decimal module.
Raymond Hettinger <python@rcn.com>
parents:
50480
diff
changeset
|
3949 ... |
|
7a6e3bc60ba6
Issue 4796: Add from_float methods to the decimal module.
Raymond Hettinger <python@rcn.com>
parents:
50480
diff
changeset
|
3950 Inexact: None |
|
7a6e3bc60ba6
Issue 4796: Add from_float methods to the decimal module.
Raymond Hettinger <python@rcn.com>
parents:
50480
diff
changeset
|
3951 |
|
7a6e3bc60ba6
Issue 4796: Add from_float methods to the decimal module.
Raymond Hettinger <python@rcn.com>
parents:
50480
diff
changeset
|
3952 """ |
|
7a6e3bc60ba6
Issue 4796: Add from_float methods to the decimal module.
Raymond Hettinger <python@rcn.com>
parents:
50480
diff
changeset
|
3953 d = Decimal.from_float(f) # An exact conversion |
|
7a6e3bc60ba6
Issue 4796: Add from_float methods to the decimal module.
Raymond Hettinger <python@rcn.com>
parents:
50480
diff
changeset
|
3954 return d._fix(self) # Apply the context rounding |
|
7a6e3bc60ba6
Issue 4796: Add from_float methods to the decimal module.
Raymond Hettinger <python@rcn.com>
parents:
50480
diff
changeset
|
3955 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3956 # Methods |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3957 def abs(self, a): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3958 """Returns the absolute value of the operand. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3959 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3960 If the operand is negative, the result is the same as using the minus |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
3961 operation on the operand. Otherwise, the result is the same as using |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3962 the plus operation on the operand. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3963 |
| 32482 | 3964 >>> ExtendedContext.abs(Decimal('2.1')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
3965 Decimal('2.1') |
| 32482 | 3966 >>> ExtendedContext.abs(Decimal('-100')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
3967 Decimal('100') |
| 32482 | 3968 >>> ExtendedContext.abs(Decimal('101.5')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
3969 Decimal('101.5') |
| 32482 | 3970 >>> ExtendedContext.abs(Decimal('-101.5')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
3971 Decimal('101.5') |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
3972 >>> ExtendedContext.abs(-1) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
3973 Decimal('1') |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3974 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
3975 a = _convert_other(a, raiseit=True) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3976 return a.__abs__(context=self) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3977 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3978 def add(self, a, b): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3979 """Return the sum of the two operands. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3980 |
| 32482 | 3981 >>> ExtendedContext.add(Decimal('12'), Decimal('7.00')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
3982 Decimal('19.00') |
| 32482 | 3983 >>> ExtendedContext.add(Decimal('1E+2'), Decimal('1.01E+4')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
3984 Decimal('1.02E+4') |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
3985 >>> ExtendedContext.add(1, Decimal(2)) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
3986 Decimal('3') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
3987 >>> ExtendedContext.add(Decimal(8), 5) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
3988 Decimal('13') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
3989 >>> ExtendedContext.add(5, 5) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
3990 Decimal('10') |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3991 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
3992 a = _convert_other(a, raiseit=True) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
3993 r = a.__add__(b, context=self) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
3994 if r is NotImplemented: |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
3995 raise TypeError("Unable to convert %s to Decimal" % b) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
3996 else: |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
3997 return r |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3998 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
3999 def _apply(self, a): |
| 33695 | 4000 return str(a._fix(self)) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4001 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4002 def canonical(self, a): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4003 """Returns the same Decimal object. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4004 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4005 As we do not have different encodings for the same number, the |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4006 received object already is in its canonical form. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4007 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4008 >>> ExtendedContext.canonical(Decimal('2.50')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4009 Decimal('2.50') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4010 """ |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4011 return a.canonical(context=self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4012 |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4013 def compare(self, a, b): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4014 """Compares values numerically. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4015 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4016 If the signs of the operands differ, a value representing each operand |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4017 ('-1' if the operand is less than zero, '0' if the operand is zero or |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4018 negative zero, or '1' if the operand is greater than zero) is used in |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4019 place of that operand for the comparison instead of the actual |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4020 operand. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4021 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4022 The comparison is then effected by subtracting the second operand from |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4023 the first and then returning a value according to the result of the |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4024 subtraction: '-1' if the result is less than zero, '0' if the result is |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4025 zero or negative zero, or '1' if the result is greater than zero. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4026 |
| 32482 | 4027 >>> ExtendedContext.compare(Decimal('2.1'), Decimal('3')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4028 Decimal('-1') |
| 32482 | 4029 >>> ExtendedContext.compare(Decimal('2.1'), Decimal('2.1')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4030 Decimal('0') |
| 32482 | 4031 >>> ExtendedContext.compare(Decimal('2.1'), Decimal('2.10')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4032 Decimal('0') |
| 32482 | 4033 >>> ExtendedContext.compare(Decimal('3'), Decimal('2.1')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4034 Decimal('1') |
| 32482 | 4035 >>> ExtendedContext.compare(Decimal('2.1'), Decimal('-3')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4036 Decimal('1') |
| 32482 | 4037 >>> ExtendedContext.compare(Decimal('-3'), Decimal('2.1')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4038 Decimal('-1') |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4039 >>> ExtendedContext.compare(1, 2) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4040 Decimal('-1') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4041 >>> ExtendedContext.compare(Decimal(1), 2) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4042 Decimal('-1') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4043 >>> ExtendedContext.compare(1, Decimal(2)) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4044 Decimal('-1') |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4045 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4046 a = _convert_other(a, raiseit=True) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4047 return a.compare(b, context=self) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4048 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4049 def compare_signal(self, a, b): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4050 """Compares the values of the two operands numerically. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4051 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4052 It's pretty much like compare(), but all NaNs signal, with signaling |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4053 NaNs taking precedence over quiet NaNs. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4054 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4055 >>> c = ExtendedContext |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4056 >>> c.compare_signal(Decimal('2.1'), Decimal('3')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4057 Decimal('-1') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4058 >>> c.compare_signal(Decimal('2.1'), Decimal('2.1')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4059 Decimal('0') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4060 >>> c.flags[InvalidOperation] = 0 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4061 >>> print c.flags[InvalidOperation] |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4062 0 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4063 >>> c.compare_signal(Decimal('NaN'), Decimal('2.1')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4064 Decimal('NaN') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4065 >>> print c.flags[InvalidOperation] |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4066 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4067 >>> c.flags[InvalidOperation] = 0 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4068 >>> print c.flags[InvalidOperation] |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4069 0 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4070 >>> c.compare_signal(Decimal('sNaN'), Decimal('2.1')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4071 Decimal('NaN') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4072 >>> print c.flags[InvalidOperation] |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4073 1 |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4074 >>> c.compare_signal(-1, 2) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4075 Decimal('-1') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4076 >>> c.compare_signal(Decimal(-1), 2) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4077 Decimal('-1') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4078 >>> c.compare_signal(-1, Decimal(2)) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4079 Decimal('-1') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4080 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4081 a = _convert_other(a, raiseit=True) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4082 return a.compare_signal(b, context=self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4083 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4084 def compare_total(self, a, b): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4085 """Compares two operands using their abstract representation. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4086 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4087 This is not like the standard compare, which use their numerical |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4088 value. Note that a total ordering is defined for all possible abstract |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4089 representations. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4090 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4091 >>> ExtendedContext.compare_total(Decimal('12.73'), Decimal('127.9')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4092 Decimal('-1') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4093 >>> ExtendedContext.compare_total(Decimal('-127'), Decimal('12')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4094 Decimal('-1') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4095 >>> ExtendedContext.compare_total(Decimal('12.30'), Decimal('12.3')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4096 Decimal('-1') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4097 >>> ExtendedContext.compare_total(Decimal('12.30'), Decimal('12.30')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4098 Decimal('0') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4099 >>> ExtendedContext.compare_total(Decimal('12.3'), Decimal('12.300')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4100 Decimal('1') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4101 >>> ExtendedContext.compare_total(Decimal('12.3'), Decimal('NaN')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4102 Decimal('-1') |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4103 >>> ExtendedContext.compare_total(1, 2) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4104 Decimal('-1') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4105 >>> ExtendedContext.compare_total(Decimal(1), 2) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4106 Decimal('-1') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4107 >>> ExtendedContext.compare_total(1, Decimal(2)) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4108 Decimal('-1') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4109 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4110 a = _convert_other(a, raiseit=True) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4111 return a.compare_total(b) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4112 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4113 def compare_total_mag(self, a, b): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4114 """Compares two operands using their abstract representation ignoring sign. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
4115 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4116 Like compare_total, but with operand's sign ignored and assumed to be 0. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4117 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4118 a = _convert_other(a, raiseit=True) |
|
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Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4119 return a.compare_total_mag(b) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4120 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4121 def copy_abs(self, a): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
4122 """Returns a copy of the operand with the sign set to 0. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4123 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
4124 >>> ExtendedContext.copy_abs(Decimal('2.1')) |
|
45321
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Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4125 Decimal('2.1') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4126 >>> ExtendedContext.copy_abs(Decimal('-100')) |
|
45321
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Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4127 Decimal('100') |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4128 >>> ExtendedContext.copy_abs(-1) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4129 Decimal('1') |
|
44600
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Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
4130 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4131 a = _convert_other(a, raiseit=True) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4132 return a.copy_abs() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
4133 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
4134 def copy_decimal(self, a): |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4135 """Returns a copy of the decimal object. |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
4136 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
4137 >>> ExtendedContext.copy_decimal(Decimal('2.1')) |
|
45321
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Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4138 Decimal('2.1') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
4139 >>> ExtendedContext.copy_decimal(Decimal('-1.00')) |
|
45321
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Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4140 Decimal('-1.00') |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
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changeset
|
4141 >>> ExtendedContext.copy_decimal(1) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4142 Decimal('1') |
|
44600
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Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
4143 """ |
|
58934
e3d071233bef
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Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4144 a = _convert_other(a, raiseit=True) |
|
44600
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Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
4145 return Decimal(a) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
4146 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
4147 def copy_negate(self, a): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
4148 """Returns a copy of the operand with the sign inverted. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
4149 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
4150 >>> ExtendedContext.copy_negate(Decimal('101.5')) |
|
45321
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Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4151 Decimal('-101.5') |
|
44600
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Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
4152 >>> ExtendedContext.copy_negate(Decimal('-101.5')) |
|
45321
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Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4153 Decimal('101.5') |
|
58934
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Issue #7633: Context method in the decimal module (with the exception
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parents:
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diff
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|
4154 >>> ExtendedContext.copy_negate(1) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
4155 Decimal('-1') |
|
44600
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Facundo Batista <facundobatista@gmail.com>
parents:
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diff
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|
4156 """ |
|
58934
e3d071233bef
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Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4157 a = _convert_other(a, raiseit=True) |
|
44600
9a60bd8f00d6
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Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
4158 return a.copy_negate() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
4159 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
4160 def copy_sign(self, a, b): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
4161 """Copies the second operand's sign to the first one. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
4162 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
4163 In detail, it returns a copy of the first operand with the sign |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
4164 equal to the sign of the second operand. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
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|
4165 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
4166 >>> ExtendedContext.copy_sign(Decimal( '1.50'), Decimal('7.33')) |
|
45321
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Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
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|
4167 Decimal('1.50') |
|
44600
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parents:
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diff
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|
4168 >>> ExtendedContext.copy_sign(Decimal('-1.50'), Decimal('7.33')) |
|
45321
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Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4169 Decimal('1.50') |
|
44600
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parents:
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diff
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|
4170 >>> ExtendedContext.copy_sign(Decimal( '1.50'), Decimal('-7.33')) |
|
45321
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Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
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|
4171 Decimal('-1.50') |
|
44600
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Facundo Batista <facundobatista@gmail.com>
parents:
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diff
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|
4172 >>> ExtendedContext.copy_sign(Decimal('-1.50'), Decimal('-7.33')) |
|
45321
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Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4173 Decimal('-1.50') |
|
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|
4174 >>> ExtendedContext.copy_sign(1, -2) |
|
e3d071233bef
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parents:
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diff
changeset
|
4175 Decimal('-1') |
|
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|
4176 >>> ExtendedContext.copy_sign(Decimal(1), -2) |
|
e3d071233bef
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Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
4177 Decimal('-1') |
|
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parents:
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diff
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|
4178 >>> ExtendedContext.copy_sign(1, Decimal(-2)) |
|
e3d071233bef
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parents:
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diff
changeset
|
4179 Decimal('-1') |
|
44600
9a60bd8f00d6
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diff
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|
4180 """ |
|
58934
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parents:
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diff
changeset
|
4181 a = _convert_other(a, raiseit=True) |
|
44600
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Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
4182 return a.copy_sign(b) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
4183 |
|
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Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
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diff
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|
4184 def divide(self, a, b): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
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diff
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|
4185 """Decimal division in a specified context. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
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diff
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|
4186 |
| 32482 | 4187 >>> ExtendedContext.divide(Decimal('1'), Decimal('3')) |
|
45321
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Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4188 Decimal('0.333333333') |
| 32482 | 4189 >>> ExtendedContext.divide(Decimal('2'), Decimal('3')) |
|
45321
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Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
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|
4190 Decimal('0.666666667') |
| 32482 | 4191 >>> ExtendedContext.divide(Decimal('5'), Decimal('2')) |
|
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parents:
45293
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|
4192 Decimal('2.5') |
| 32482 | 4193 >>> ExtendedContext.divide(Decimal('1'), Decimal('10')) |
|
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Raymond Hettinger <python@rcn.com>
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|
4194 Decimal('0.1') |
| 32482 | 4195 >>> ExtendedContext.divide(Decimal('12'), Decimal('12')) |
|
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|
4196 Decimal('1') |
| 32482 | 4197 >>> ExtendedContext.divide(Decimal('8.00'), Decimal('2')) |
|
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|
4198 Decimal('4.00') |
| 32482 | 4199 >>> ExtendedContext.divide(Decimal('2.400'), Decimal('2.0')) |
|
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|
4200 Decimal('1.20') |
| 32482 | 4201 >>> ExtendedContext.divide(Decimal('1000'), Decimal('100')) |
|
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|
4202 Decimal('10') |
| 32482 | 4203 >>> ExtendedContext.divide(Decimal('1000'), Decimal('1')) |
|
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|
4204 Decimal('1000') |
| 32482 | 4205 >>> ExtendedContext.divide(Decimal('2.40E+6'), Decimal('2')) |
|
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|
4206 Decimal('1.20E+6') |
|
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|
4207 >>> ExtendedContext.divide(5, 5) |
|
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|
4208 Decimal('1') |
|
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|
4209 >>> ExtendedContext.divide(Decimal(5), 5) |
|
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|
4210 Decimal('1') |
|
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|
4211 >>> ExtendedContext.divide(5, Decimal(5)) |
|
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|
4212 Decimal('1') |
|
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|
4213 """ |
|
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|
4214 a = _convert_other(a, raiseit=True) |
|
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|
4215 r = a.__div__(b, context=self) |
|
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|
4216 if r is NotImplemented: |
|
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|
4217 raise TypeError("Unable to convert %s to Decimal" % b) |
|
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|
4218 else: |
|
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|
4219 return r |
|
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diff
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|
4220 |
|
d2c1c7ae7cf4
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|
4221 def divide_int(self, a, b): |
|
d2c1c7ae7cf4
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diff
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|
4222 """Divides two numbers and returns the integer part of the result. |
|
d2c1c7ae7cf4
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|
4223 |
| 32482 | 4224 >>> ExtendedContext.divide_int(Decimal('2'), Decimal('3')) |
|
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|
4225 Decimal('0') |
| 32482 | 4226 >>> ExtendedContext.divide_int(Decimal('10'), Decimal('3')) |
|
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changeset
|
4227 Decimal('3') |
| 32482 | 4228 >>> ExtendedContext.divide_int(Decimal('1'), Decimal('0.3')) |
|
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|
4229 Decimal('3') |
|
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|
4230 >>> ExtendedContext.divide_int(10, 3) |
|
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parents:
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|
4231 Decimal('3') |
|
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|
4232 >>> ExtendedContext.divide_int(Decimal(10), 3) |
|
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parents:
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|
4233 Decimal('3') |
|
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Issue #7633: Context method in the decimal module (with the exception
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parents:
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|
4234 >>> ExtendedContext.divide_int(10, Decimal(3)) |
|
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Issue #7633: Context method in the decimal module (with the exception
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|
4235 Decimal('3') |
|
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|
4236 """ |
|
58934
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|
4237 a = _convert_other(a, raiseit=True) |
|
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Issue #7633: Context method in the decimal module (with the exception
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parents:
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|
4238 r = a.__floordiv__(b, context=self) |
|
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Issue #7633: Context method in the decimal module (with the exception
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parents:
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|
4239 if r is NotImplemented: |
|
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Issue #7633: Context method in the decimal module (with the exception
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parents:
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|
4240 raise TypeError("Unable to convert %s to Decimal" % b) |
|
e3d071233bef
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parents:
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|
4241 else: |
|
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parents:
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|
4242 return r |
|
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Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
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diff
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|
4243 |
|
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Raymond Hettinger <python@rcn.com>
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diff
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|
4244 def divmod(self, a, b): |
|
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parents:
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|
4245 """Return (a // b, a % b). |
|
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|
4246 |
|
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|
4247 >>> ExtendedContext.divmod(Decimal(8), Decimal(3)) |
|
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|
4248 (Decimal('2'), Decimal('2')) |
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|
4249 >>> ExtendedContext.divmod(Decimal(8), Decimal(4)) |
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|
4250 (Decimal('2'), Decimal('0')) |
|
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|
4251 >>> ExtendedContext.divmod(8, 4) |
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|
4252 (Decimal('2'), Decimal('0')) |
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|
4253 >>> ExtendedContext.divmod(Decimal(8), 4) |
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|
4254 (Decimal('2'), Decimal('0')) |
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|
4255 >>> ExtendedContext.divmod(8, Decimal(4)) |
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|
4256 (Decimal('2'), Decimal('0')) |
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|
4257 """ |
|
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|
4258 a = _convert_other(a, raiseit=True) |
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|
4259 r = a.__divmod__(b, context=self) |
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|
4260 if r is NotImplemented: |
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|
4261 raise TypeError("Unable to convert %s to Decimal" % b) |
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|
4262 else: |
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|
4263 return r |
|
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|
4264 |
|
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|
4265 def exp(self, a): |
|
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|
4266 """Returns e ** a. |
|
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|
4267 |
|
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|
4268 >>> c = ExtendedContext.copy() |
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|
4269 >>> c.Emin = -999 |
|
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|
4270 >>> c.Emax = 999 |
|
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|
4271 >>> c.exp(Decimal('-Infinity')) |
|
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|
4272 Decimal('0') |
|
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|
4273 >>> c.exp(Decimal('-1')) |
|
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|
4274 Decimal('0.367879441') |
|
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|
4275 >>> c.exp(Decimal('0')) |
|
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Raymond Hettinger <python@rcn.com>
parents:
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|
4276 Decimal('1') |
|
44600
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|
4277 >>> c.exp(Decimal('1')) |
|
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|
4278 Decimal('2.71828183') |
|
44600
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|
4279 >>> c.exp(Decimal('0.693147181')) |
|
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|
4280 Decimal('2.00000000') |
|
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|
4281 >>> c.exp(Decimal('+Infinity')) |
|
45321
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|
4282 Decimal('Infinity') |
|
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|
4283 >>> c.exp(10) |
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|
4284 Decimal('22026.4658') |
|
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|
4285 """ |
|
58934
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|
4286 a =_convert_other(a, raiseit=True) |
|
44600
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|
4287 return a.exp(context=self) |
|
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|
4288 |
|
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diff
changeset
|
4289 def fma(self, a, b, c): |
|
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diff
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|
4290 """Returns a multiplied by b, plus c. |
|
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|
4291 |
|
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diff
changeset
|
4292 The first two operands are multiplied together, using multiply, |
|
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diff
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|
4293 the third operand is then added to the result of that |
|
9a60bd8f00d6
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changeset
|
4294 multiplication, using add, all with only one final rounding. |
|
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|
4295 |
|
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diff
changeset
|
4296 >>> ExtendedContext.fma(Decimal('3'), Decimal('5'), Decimal('7')) |
|
45321
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Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4297 Decimal('22') |
|
44600
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diff
changeset
|
4298 >>> ExtendedContext.fma(Decimal('3'), Decimal('-5'), Decimal('7')) |
|
45321
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Raymond Hettinger <python@rcn.com>
parents:
45293
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changeset
|
4299 Decimal('-8') |
|
44600
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|
4300 >>> ExtendedContext.fma(Decimal('888565290'), Decimal('1557.96930'), Decimal('-86087.7578')) |
|
45321
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|
4301 Decimal('1.38435736E+12') |
|
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|
4302 >>> ExtendedContext.fma(1, 3, 4) |
|
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|
4303 Decimal('7') |
|
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|
4304 >>> ExtendedContext.fma(1, Decimal(3), 4) |
|
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changeset
|
4305 Decimal('7') |
|
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changeset
|
4306 >>> ExtendedContext.fma(1, 3, Decimal(4)) |
|
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changeset
|
4307 Decimal('7') |
|
44600
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|
4308 """ |
|
58934
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|
4309 a = _convert_other(a, raiseit=True) |
|
44600
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|
4310 return a.fma(b, c, context=self) |
|
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|
4311 |
|
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|
4312 def is_canonical(self, a): |
|
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|
4313 """Return True if the operand is canonical; otherwise return False. |
|
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|
4314 |
|
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|
4315 Currently, the encoding of a Decimal instance is always |
|
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|
4316 canonical, so this method returns True for any Decimal. |
|
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|
4317 |
|
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|
4318 >>> ExtendedContext.is_canonical(Decimal('2.50')) |
|
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|
4319 True |
|
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|
4320 """ |
|
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|
4321 return a.is_canonical() |
|
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|
4322 |
|
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|
4323 def is_finite(self, a): |
|
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|
4324 """Return True if the operand is finite; otherwise return False. |
|
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|
4325 |
|
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changeset
|
4326 A Decimal instance is considered finite if it is neither |
|
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changeset
|
4327 infinite nor a NaN. |
|
9a60bd8f00d6
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|
4328 |
|
9a60bd8f00d6
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diff
changeset
|
4329 >>> ExtendedContext.is_finite(Decimal('2.50')) |
|
9a60bd8f00d6
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changeset
|
4330 True |
|
9a60bd8f00d6
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diff
changeset
|
4331 >>> ExtendedContext.is_finite(Decimal('-0.3')) |
|
9a60bd8f00d6
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changeset
|
4332 True |
|
9a60bd8f00d6
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diff
changeset
|
4333 >>> ExtendedContext.is_finite(Decimal('0')) |
|
9a60bd8f00d6
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changeset
|
4334 True |
|
9a60bd8f00d6
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changeset
|
4335 >>> ExtendedContext.is_finite(Decimal('Inf')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4336 False |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4337 >>> ExtendedContext.is_finite(Decimal('NaN')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4338 False |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4339 >>> ExtendedContext.is_finite(1) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4340 True |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4341 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4342 a = _convert_other(a, raiseit=True) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4343 return a.is_finite() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4344 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4345 def is_infinite(self, a): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4346 """Return True if the operand is infinite; otherwise return False. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4347 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4348 >>> ExtendedContext.is_infinite(Decimal('2.50')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4349 False |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4350 >>> ExtendedContext.is_infinite(Decimal('-Inf')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4351 True |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4352 >>> ExtendedContext.is_infinite(Decimal('NaN')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4353 False |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4354 >>> ExtendedContext.is_infinite(1) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4355 False |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4356 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4357 a = _convert_other(a, raiseit=True) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4358 return a.is_infinite() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4359 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4360 def is_nan(self, a): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4361 """Return True if the operand is a qNaN or sNaN; |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4362 otherwise return False. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4363 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4364 >>> ExtendedContext.is_nan(Decimal('2.50')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4365 False |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4366 >>> ExtendedContext.is_nan(Decimal('NaN')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4367 True |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4368 >>> ExtendedContext.is_nan(Decimal('-sNaN')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4369 True |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4370 >>> ExtendedContext.is_nan(1) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4371 False |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4372 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4373 a = _convert_other(a, raiseit=True) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4374 return a.is_nan() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4375 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4376 def is_normal(self, a): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4377 """Return True if the operand is a normal number; |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4378 otherwise return False. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4379 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4380 >>> c = ExtendedContext.copy() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4381 >>> c.Emin = -999 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4382 >>> c.Emax = 999 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4383 >>> c.is_normal(Decimal('2.50')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4384 True |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4385 >>> c.is_normal(Decimal('0.1E-999')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4386 False |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4387 >>> c.is_normal(Decimal('0.00')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4388 False |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4389 >>> c.is_normal(Decimal('-Inf')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4390 False |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4391 >>> c.is_normal(Decimal('NaN')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4392 False |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4393 >>> c.is_normal(1) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4394 True |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4395 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4396 a = _convert_other(a, raiseit=True) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4397 return a.is_normal(context=self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4398 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4399 def is_qnan(self, a): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4400 """Return True if the operand is a quiet NaN; otherwise return False. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4401 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4402 >>> ExtendedContext.is_qnan(Decimal('2.50')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4403 False |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4404 >>> ExtendedContext.is_qnan(Decimal('NaN')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4405 True |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4406 >>> ExtendedContext.is_qnan(Decimal('sNaN')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4407 False |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4408 >>> ExtendedContext.is_qnan(1) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4409 False |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4410 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4411 a = _convert_other(a, raiseit=True) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4412 return a.is_qnan() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4413 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4414 def is_signed(self, a): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4415 """Return True if the operand is negative; otherwise return False. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4416 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4417 >>> ExtendedContext.is_signed(Decimal('2.50')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4418 False |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4419 >>> ExtendedContext.is_signed(Decimal('-12')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4420 True |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4421 >>> ExtendedContext.is_signed(Decimal('-0')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4422 True |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4423 >>> ExtendedContext.is_signed(8) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4424 False |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4425 >>> ExtendedContext.is_signed(-8) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4426 True |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4427 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4428 a = _convert_other(a, raiseit=True) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4429 return a.is_signed() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4430 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4431 def is_snan(self, a): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4432 """Return True if the operand is a signaling NaN; |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4433 otherwise return False. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4434 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4435 >>> ExtendedContext.is_snan(Decimal('2.50')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4436 False |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4437 >>> ExtendedContext.is_snan(Decimal('NaN')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4438 False |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4439 >>> ExtendedContext.is_snan(Decimal('sNaN')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4440 True |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4441 >>> ExtendedContext.is_snan(1) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4442 False |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4443 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4444 a = _convert_other(a, raiseit=True) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4445 return a.is_snan() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4446 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4447 def is_subnormal(self, a): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4448 """Return True if the operand is subnormal; otherwise return False. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4449 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4450 >>> c = ExtendedContext.copy() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4451 >>> c.Emin = -999 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4452 >>> c.Emax = 999 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4453 >>> c.is_subnormal(Decimal('2.50')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4454 False |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4455 >>> c.is_subnormal(Decimal('0.1E-999')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4456 True |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4457 >>> c.is_subnormal(Decimal('0.00')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4458 False |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4459 >>> c.is_subnormal(Decimal('-Inf')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4460 False |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4461 >>> c.is_subnormal(Decimal('NaN')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4462 False |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4463 >>> c.is_subnormal(1) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4464 False |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4465 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4466 a = _convert_other(a, raiseit=True) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4467 return a.is_subnormal(context=self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4468 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4469 def is_zero(self, a): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4470 """Return True if the operand is a zero; otherwise return False. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4471 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4472 >>> ExtendedContext.is_zero(Decimal('0')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4473 True |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4474 >>> ExtendedContext.is_zero(Decimal('2.50')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4475 False |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4476 >>> ExtendedContext.is_zero(Decimal('-0E+2')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4477 True |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4478 >>> ExtendedContext.is_zero(1) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4479 False |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4480 >>> ExtendedContext.is_zero(0) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4481 True |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4482 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4483 a = _convert_other(a, raiseit=True) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4484 return a.is_zero() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4485 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4486 def ln(self, a): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4487 """Returns the natural (base e) logarithm of the operand. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4488 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4489 >>> c = ExtendedContext.copy() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4490 >>> c.Emin = -999 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4491 >>> c.Emax = 999 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4492 >>> c.ln(Decimal('0')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4493 Decimal('-Infinity') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4494 >>> c.ln(Decimal('1.000')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4495 Decimal('0') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4496 >>> c.ln(Decimal('2.71828183')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4497 Decimal('1.00000000') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4498 >>> c.ln(Decimal('10')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4499 Decimal('2.30258509') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4500 >>> c.ln(Decimal('+Infinity')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4501 Decimal('Infinity') |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4502 >>> c.ln(1) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4503 Decimal('0') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4504 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4505 a = _convert_other(a, raiseit=True) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4506 return a.ln(context=self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4507 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4508 def log10(self, a): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4509 """Returns the base 10 logarithm of the operand. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4510 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4511 >>> c = ExtendedContext.copy() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4512 >>> c.Emin = -999 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4513 >>> c.Emax = 999 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4514 >>> c.log10(Decimal('0')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4515 Decimal('-Infinity') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4516 >>> c.log10(Decimal('0.001')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4517 Decimal('-3') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4518 >>> c.log10(Decimal('1.000')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4519 Decimal('0') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4520 >>> c.log10(Decimal('2')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4521 Decimal('0.301029996') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4522 >>> c.log10(Decimal('10')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4523 Decimal('1') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4524 >>> c.log10(Decimal('70')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4525 Decimal('1.84509804') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4526 >>> c.log10(Decimal('+Infinity')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4527 Decimal('Infinity') |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4528 >>> c.log10(0) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4529 Decimal('-Infinity') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4530 >>> c.log10(1) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4531 Decimal('0') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4532 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4533 a = _convert_other(a, raiseit=True) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4534 return a.log10(context=self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4535 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4536 def logb(self, a): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4537 """ Returns the exponent of the magnitude of the operand's MSD. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4538 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4539 The result is the integer which is the exponent of the magnitude |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4540 of the most significant digit of the operand (as though the |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4541 operand were truncated to a single digit while maintaining the |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4542 value of that digit and without limiting the resulting exponent). |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4543 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4544 >>> ExtendedContext.logb(Decimal('250')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4545 Decimal('2') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4546 >>> ExtendedContext.logb(Decimal('2.50')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4547 Decimal('0') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4548 >>> ExtendedContext.logb(Decimal('0.03')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4549 Decimal('-2') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4550 >>> ExtendedContext.logb(Decimal('0')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4551 Decimal('-Infinity') |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4552 >>> ExtendedContext.logb(1) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4553 Decimal('0') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4554 >>> ExtendedContext.logb(10) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4555 Decimal('1') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4556 >>> ExtendedContext.logb(100) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4557 Decimal('2') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4558 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4559 a = _convert_other(a, raiseit=True) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4560 return a.logb(context=self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4561 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4562 def logical_and(self, a, b): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4563 """Applies the logical operation 'and' between each operand's digits. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4564 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4565 The operands must be both logical numbers. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4566 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4567 >>> ExtendedContext.logical_and(Decimal('0'), Decimal('0')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4568 Decimal('0') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4569 >>> ExtendedContext.logical_and(Decimal('0'), Decimal('1')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4570 Decimal('0') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4571 >>> ExtendedContext.logical_and(Decimal('1'), Decimal('0')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4572 Decimal('0') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4573 >>> ExtendedContext.logical_and(Decimal('1'), Decimal('1')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4574 Decimal('1') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4575 >>> ExtendedContext.logical_and(Decimal('1100'), Decimal('1010')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4576 Decimal('1000') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4577 >>> ExtendedContext.logical_and(Decimal('1111'), Decimal('10')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4578 Decimal('10') |
|
58935
ea1adc6835cc
Doctest fixes for decimal.py: add an integer-argument doctest for logical_invert; don't use integer literals with a leading zero.
Mark Dickinson <dickinsm@gmail.com>
parents:
58934
diff
changeset
|
4579 >>> ExtendedContext.logical_and(110, 1101) |
|
ea1adc6835cc
Doctest fixes for decimal.py: add an integer-argument doctest for logical_invert; don't use integer literals with a leading zero.
Mark Dickinson <dickinsm@gmail.com>
parents:
58934
diff
changeset
|
4580 Decimal('100') |
|
ea1adc6835cc
Doctest fixes for decimal.py: add an integer-argument doctest for logical_invert; don't use integer literals with a leading zero.
Mark Dickinson <dickinsm@gmail.com>
parents:
58934
diff
changeset
|
4581 >>> ExtendedContext.logical_and(Decimal(110), 1101) |
|
ea1adc6835cc
Doctest fixes for decimal.py: add an integer-argument doctest for logical_invert; don't use integer literals with a leading zero.
Mark Dickinson <dickinsm@gmail.com>
parents:
58934
diff
changeset
|
4582 Decimal('100') |
|
ea1adc6835cc
Doctest fixes for decimal.py: add an integer-argument doctest for logical_invert; don't use integer literals with a leading zero.
Mark Dickinson <dickinsm@gmail.com>
parents:
58934
diff
changeset
|
4583 >>> ExtendedContext.logical_and(110, Decimal(1101)) |
|
ea1adc6835cc
Doctest fixes for decimal.py: add an integer-argument doctest for logical_invert; don't use integer literals with a leading zero.
Mark Dickinson <dickinsm@gmail.com>
parents:
58934
diff
changeset
|
4584 Decimal('100') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4585 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4586 a = _convert_other(a, raiseit=True) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4587 return a.logical_and(b, context=self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4588 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4589 def logical_invert(self, a): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4590 """Invert all the digits in the operand. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4591 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4592 The operand must be a logical number. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4593 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4594 >>> ExtendedContext.logical_invert(Decimal('0')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4595 Decimal('111111111') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4596 >>> ExtendedContext.logical_invert(Decimal('1')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4597 Decimal('111111110') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4598 >>> ExtendedContext.logical_invert(Decimal('111111111')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4599 Decimal('0') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4600 >>> ExtendedContext.logical_invert(Decimal('101010101')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4601 Decimal('10101010') |
|
58935
ea1adc6835cc
Doctest fixes for decimal.py: add an integer-argument doctest for logical_invert; don't use integer literals with a leading zero.
Mark Dickinson <dickinsm@gmail.com>
parents:
58934
diff
changeset
|
4602 >>> ExtendedContext.logical_invert(1101) |
|
ea1adc6835cc
Doctest fixes for decimal.py: add an integer-argument doctest for logical_invert; don't use integer literals with a leading zero.
Mark Dickinson <dickinsm@gmail.com>
parents:
58934
diff
changeset
|
4603 Decimal('111110010') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4604 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4605 a = _convert_other(a, raiseit=True) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4606 return a.logical_invert(context=self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4607 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4608 def logical_or(self, a, b): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4609 """Applies the logical operation 'or' between each operand's digits. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4610 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4611 The operands must be both logical numbers. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4612 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4613 >>> ExtendedContext.logical_or(Decimal('0'), Decimal('0')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4614 Decimal('0') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4615 >>> ExtendedContext.logical_or(Decimal('0'), Decimal('1')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4616 Decimal('1') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4617 >>> ExtendedContext.logical_or(Decimal('1'), Decimal('0')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4618 Decimal('1') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4619 >>> ExtendedContext.logical_or(Decimal('1'), Decimal('1')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4620 Decimal('1') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4621 >>> ExtendedContext.logical_or(Decimal('1100'), Decimal('1010')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4622 Decimal('1110') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4623 >>> ExtendedContext.logical_or(Decimal('1110'), Decimal('10')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4624 Decimal('1110') |
|
58935
ea1adc6835cc
Doctest fixes for decimal.py: add an integer-argument doctest for logical_invert; don't use integer literals with a leading zero.
Mark Dickinson <dickinsm@gmail.com>
parents:
58934
diff
changeset
|
4625 >>> ExtendedContext.logical_or(110, 1101) |
|
ea1adc6835cc
Doctest fixes for decimal.py: add an integer-argument doctest for logical_invert; don't use integer literals with a leading zero.
Mark Dickinson <dickinsm@gmail.com>
parents:
58934
diff
changeset
|
4626 Decimal('1111') |
|
ea1adc6835cc
Doctest fixes for decimal.py: add an integer-argument doctest for logical_invert; don't use integer literals with a leading zero.
Mark Dickinson <dickinsm@gmail.com>
parents:
58934
diff
changeset
|
4627 >>> ExtendedContext.logical_or(Decimal(110), 1101) |
|
ea1adc6835cc
Doctest fixes for decimal.py: add an integer-argument doctest for logical_invert; don't use integer literals with a leading zero.
Mark Dickinson <dickinsm@gmail.com>
parents:
58934
diff
changeset
|
4628 Decimal('1111') |
|
ea1adc6835cc
Doctest fixes for decimal.py: add an integer-argument doctest for logical_invert; don't use integer literals with a leading zero.
Mark Dickinson <dickinsm@gmail.com>
parents:
58934
diff
changeset
|
4629 >>> ExtendedContext.logical_or(110, Decimal(1101)) |
|
ea1adc6835cc
Doctest fixes for decimal.py: add an integer-argument doctest for logical_invert; don't use integer literals with a leading zero.
Mark Dickinson <dickinsm@gmail.com>
parents:
58934
diff
changeset
|
4630 Decimal('1111') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4631 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4632 a = _convert_other(a, raiseit=True) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4633 return a.logical_or(b, context=self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4634 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4635 def logical_xor(self, a, b): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4636 """Applies the logical operation 'xor' between each operand's digits. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4637 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4638 The operands must be both logical numbers. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4639 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4640 >>> ExtendedContext.logical_xor(Decimal('0'), Decimal('0')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4641 Decimal('0') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4642 >>> ExtendedContext.logical_xor(Decimal('0'), Decimal('1')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4643 Decimal('1') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4644 >>> ExtendedContext.logical_xor(Decimal('1'), Decimal('0')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4645 Decimal('1') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4646 >>> ExtendedContext.logical_xor(Decimal('1'), Decimal('1')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4647 Decimal('0') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4648 >>> ExtendedContext.logical_xor(Decimal('1100'), Decimal('1010')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4649 Decimal('110') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4650 >>> ExtendedContext.logical_xor(Decimal('1111'), Decimal('10')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4651 Decimal('1101') |
|
58935
ea1adc6835cc
Doctest fixes for decimal.py: add an integer-argument doctest for logical_invert; don't use integer literals with a leading zero.
Mark Dickinson <dickinsm@gmail.com>
parents:
58934
diff
changeset
|
4652 >>> ExtendedContext.logical_xor(110, 1101) |
|
ea1adc6835cc
Doctest fixes for decimal.py: add an integer-argument doctest for logical_invert; don't use integer literals with a leading zero.
Mark Dickinson <dickinsm@gmail.com>
parents:
58934
diff
changeset
|
4653 Decimal('1011') |
|
ea1adc6835cc
Doctest fixes for decimal.py: add an integer-argument doctest for logical_invert; don't use integer literals with a leading zero.
Mark Dickinson <dickinsm@gmail.com>
parents:
58934
diff
changeset
|
4654 >>> ExtendedContext.logical_xor(Decimal(110), 1101) |
|
ea1adc6835cc
Doctest fixes for decimal.py: add an integer-argument doctest for logical_invert; don't use integer literals with a leading zero.
Mark Dickinson <dickinsm@gmail.com>
parents:
58934
diff
changeset
|
4655 Decimal('1011') |
|
ea1adc6835cc
Doctest fixes for decimal.py: add an integer-argument doctest for logical_invert; don't use integer literals with a leading zero.
Mark Dickinson <dickinsm@gmail.com>
parents:
58934
diff
changeset
|
4656 >>> ExtendedContext.logical_xor(110, Decimal(1101)) |
|
ea1adc6835cc
Doctest fixes for decimal.py: add an integer-argument doctest for logical_invert; don't use integer literals with a leading zero.
Mark Dickinson <dickinsm@gmail.com>
parents:
58934
diff
changeset
|
4657 Decimal('1011') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4658 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4659 a = _convert_other(a, raiseit=True) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4660 return a.logical_xor(b, context=self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4661 |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4662 def max(self, a, b): |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4663 """max compares two values numerically and returns the maximum. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4664 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4665 If either operand is a NaN then the general rules apply. |
| 44701 | 4666 Otherwise, the operands are compared as though by the compare |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4667 operation. If they are numerically equal then the left-hand operand |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4668 is chosen as the result. Otherwise the maximum (closer to positive |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4669 infinity) of the two operands is chosen as the result. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4670 |
| 32482 | 4671 >>> ExtendedContext.max(Decimal('3'), Decimal('2')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4672 Decimal('3') |
| 32482 | 4673 >>> ExtendedContext.max(Decimal('-10'), Decimal('3')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4674 Decimal('3') |
| 32482 | 4675 >>> ExtendedContext.max(Decimal('1.0'), Decimal('1')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4676 Decimal('1') |
|
33157
b2f427db228b
Revise max() and min() to comply with the 8/2/2004 update to the specification
Raymond Hettinger <python@rcn.com>
parents:
33044
diff
changeset
|
4677 >>> ExtendedContext.max(Decimal('7'), Decimal('NaN')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4678 Decimal('7') |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4679 >>> ExtendedContext.max(1, 2) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4680 Decimal('2') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4681 >>> ExtendedContext.max(Decimal(1), 2) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4682 Decimal('2') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4683 >>> ExtendedContext.max(1, Decimal(2)) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4684 Decimal('2') |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4685 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4686 a = _convert_other(a, raiseit=True) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4687 return a.max(b, context=self) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4688 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4689 def max_mag(self, a, b): |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4690 """Compares the values numerically with their sign ignored. |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4691 |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4692 >>> ExtendedContext.max_mag(Decimal('7'), Decimal('NaN')) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4693 Decimal('7') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4694 >>> ExtendedContext.max_mag(Decimal('7'), Decimal('-10')) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4695 Decimal('-10') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4696 >>> ExtendedContext.max_mag(1, -2) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4697 Decimal('-2') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4698 >>> ExtendedContext.max_mag(Decimal(1), -2) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4699 Decimal('-2') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4700 >>> ExtendedContext.max_mag(1, Decimal(-2)) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4701 Decimal('-2') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4702 """ |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4703 a = _convert_other(a, raiseit=True) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4704 return a.max_mag(b, context=self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4705 |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4706 def min(self, a, b): |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4707 """min compares two values numerically and returns the minimum. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4708 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4709 If either operand is a NaN then the general rules apply. |
| 44701 | 4710 Otherwise, the operands are compared as though by the compare |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4711 operation. If they are numerically equal then the left-hand operand |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4712 is chosen as the result. Otherwise the minimum (closer to negative |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4713 infinity) of the two operands is chosen as the result. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4714 |
| 32482 | 4715 >>> ExtendedContext.min(Decimal('3'), Decimal('2')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4716 Decimal('2') |
| 32482 | 4717 >>> ExtendedContext.min(Decimal('-10'), Decimal('3')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4718 Decimal('-10') |
| 32482 | 4719 >>> ExtendedContext.min(Decimal('1.0'), Decimal('1')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4720 Decimal('1.0') |
|
33157
b2f427db228b
Revise max() and min() to comply with the 8/2/2004 update to the specification
Raymond Hettinger <python@rcn.com>
parents:
33044
diff
changeset
|
4721 >>> ExtendedContext.min(Decimal('7'), Decimal('NaN')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4722 Decimal('7') |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4723 >>> ExtendedContext.min(1, 2) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4724 Decimal('1') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4725 >>> ExtendedContext.min(Decimal(1), 2) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4726 Decimal('1') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4727 >>> ExtendedContext.min(1, Decimal(29)) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4728 Decimal('1') |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4729 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4730 a = _convert_other(a, raiseit=True) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4731 return a.min(b, context=self) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4732 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4733 def min_mag(self, a, b): |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4734 """Compares the values numerically with their sign ignored. |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4735 |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4736 >>> ExtendedContext.min_mag(Decimal('3'), Decimal('-2')) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4737 Decimal('-2') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4738 >>> ExtendedContext.min_mag(Decimal('-3'), Decimal('NaN')) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4739 Decimal('-3') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4740 >>> ExtendedContext.min_mag(1, -2) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4741 Decimal('1') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4742 >>> ExtendedContext.min_mag(Decimal(1), -2) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4743 Decimal('1') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4744 >>> ExtendedContext.min_mag(1, Decimal(-2)) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4745 Decimal('1') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4746 """ |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4747 a = _convert_other(a, raiseit=True) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4748 return a.min_mag(b, context=self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4749 |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4750 def minus(self, a): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4751 """Minus corresponds to unary prefix minus in Python. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4752 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4753 The operation is evaluated using the same rules as subtract; the |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4754 operation minus(a) is calculated as subtract('0', a) where the '0' |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4755 has the same exponent as the operand. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4756 |
| 32482 | 4757 >>> ExtendedContext.minus(Decimal('1.3')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4758 Decimal('-1.3') |
| 32482 | 4759 >>> ExtendedContext.minus(Decimal('-1.3')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4760 Decimal('1.3') |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4761 >>> ExtendedContext.minus(1) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4762 Decimal('-1') |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4763 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4764 a = _convert_other(a, raiseit=True) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4765 return a.__neg__(context=self) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4766 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4767 def multiply(self, a, b): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4768 """multiply multiplies two operands. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4769 |
|
39120
1d7da8608031
Revert r50706 (Whitespace normalization) and
Martin v. Löwis <martin@v.loewis.de>
parents:
39117
diff
changeset
|
4770 If either operand is a special value then the general rules apply. |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4771 Otherwise, the operands are multiplied together |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4772 ('long multiplication'), resulting in a number which may be as long as |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4773 the sum of the lengths of the two operands. |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4774 |
| 32482 | 4775 >>> ExtendedContext.multiply(Decimal('1.20'), Decimal('3')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4776 Decimal('3.60') |
| 32482 | 4777 >>> ExtendedContext.multiply(Decimal('7'), Decimal('3')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4778 Decimal('21') |
| 32482 | 4779 >>> ExtendedContext.multiply(Decimal('0.9'), Decimal('0.8')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4780 Decimal('0.72') |
| 32482 | 4781 >>> ExtendedContext.multiply(Decimal('0.9'), Decimal('-0')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4782 Decimal('-0.0') |
| 32482 | 4783 >>> ExtendedContext.multiply(Decimal('654321'), Decimal('654321')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4784 Decimal('4.28135971E+11') |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4785 >>> ExtendedContext.multiply(7, 7) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4786 Decimal('49') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4787 >>> ExtendedContext.multiply(Decimal(7), 7) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4788 Decimal('49') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4789 >>> ExtendedContext.multiply(7, Decimal(7)) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4790 Decimal('49') |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4791 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4792 a = _convert_other(a, raiseit=True) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4793 r = a.__mul__(b, context=self) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4794 if r is NotImplemented: |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4795 raise TypeError("Unable to convert %s to Decimal" % b) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4796 else: |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4797 return r |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4798 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4799 def next_minus(self, a): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4800 """Returns the largest representable number smaller than a. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4801 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4802 >>> c = ExtendedContext.copy() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4803 >>> c.Emin = -999 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4804 >>> c.Emax = 999 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4805 >>> ExtendedContext.next_minus(Decimal('1')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4806 Decimal('0.999999999') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4807 >>> c.next_minus(Decimal('1E-1007')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4808 Decimal('0E-1007') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4809 >>> ExtendedContext.next_minus(Decimal('-1.00000003')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4810 Decimal('-1.00000004') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4811 >>> c.next_minus(Decimal('Infinity')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4812 Decimal('9.99999999E+999') |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4813 >>> c.next_minus(1) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4814 Decimal('0.999999999') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4815 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4816 a = _convert_other(a, raiseit=True) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4817 return a.next_minus(context=self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4818 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4819 def next_plus(self, a): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4820 """Returns the smallest representable number larger than a. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4821 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4822 >>> c = ExtendedContext.copy() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4823 >>> c.Emin = -999 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4824 >>> c.Emax = 999 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4825 >>> ExtendedContext.next_plus(Decimal('1')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4826 Decimal('1.00000001') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4827 >>> c.next_plus(Decimal('-1E-1007')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4828 Decimal('-0E-1007') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4829 >>> ExtendedContext.next_plus(Decimal('-1.00000003')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4830 Decimal('-1.00000002') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4831 >>> c.next_plus(Decimal('-Infinity')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4832 Decimal('-9.99999999E+999') |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4833 >>> c.next_plus(1) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4834 Decimal('1.00000001') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4835 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4836 a = _convert_other(a, raiseit=True) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4837 return a.next_plus(context=self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4838 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4839 def next_toward(self, a, b): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4840 """Returns the number closest to a, in direction towards b. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4841 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4842 The result is the closest representable number from the first |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4843 operand (but not the first operand) that is in the direction |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4844 towards the second operand, unless the operands have the same |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4845 value. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4846 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4847 >>> c = ExtendedContext.copy() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4848 >>> c.Emin = -999 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4849 >>> c.Emax = 999 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4850 >>> c.next_toward(Decimal('1'), Decimal('2')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4851 Decimal('1.00000001') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4852 >>> c.next_toward(Decimal('-1E-1007'), Decimal('1')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4853 Decimal('-0E-1007') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4854 >>> c.next_toward(Decimal('-1.00000003'), Decimal('0')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4855 Decimal('-1.00000002') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4856 >>> c.next_toward(Decimal('1'), Decimal('0')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4857 Decimal('0.999999999') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4858 >>> c.next_toward(Decimal('1E-1007'), Decimal('-100')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4859 Decimal('0E-1007') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4860 >>> c.next_toward(Decimal('-1.00000003'), Decimal('-10')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4861 Decimal('-1.00000004') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4862 >>> c.next_toward(Decimal('0.00'), Decimal('-0.0000')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4863 Decimal('-0.00') |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4864 >>> c.next_toward(0, 1) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4865 Decimal('1E-1007') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4866 >>> c.next_toward(Decimal(0), 1) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4867 Decimal('1E-1007') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4868 >>> c.next_toward(0, Decimal(1)) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4869 Decimal('1E-1007') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4870 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4871 a = _convert_other(a, raiseit=True) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4872 return a.next_toward(b, context=self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4873 |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4874 def normalize(self, a): |
| 32496 | 4875 """normalize reduces an operand to its simplest form. |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4876 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4877 Essentially a plus operation with all trailing zeros removed from the |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4878 result. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4879 |
| 32482 | 4880 >>> ExtendedContext.normalize(Decimal('2.1')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4881 Decimal('2.1') |
| 32482 | 4882 >>> ExtendedContext.normalize(Decimal('-2.0')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4883 Decimal('-2') |
| 32482 | 4884 >>> ExtendedContext.normalize(Decimal('1.200')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4885 Decimal('1.2') |
| 32482 | 4886 >>> ExtendedContext.normalize(Decimal('-120')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4887 Decimal('-1.2E+2') |
| 32482 | 4888 >>> ExtendedContext.normalize(Decimal('120.00')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4889 Decimal('1.2E+2') |
| 32482 | 4890 >>> ExtendedContext.normalize(Decimal('0.00')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4891 Decimal('0') |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4892 >>> ExtendedContext.normalize(6) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4893 Decimal('6') |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4894 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4895 a = _convert_other(a, raiseit=True) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4896 return a.normalize(context=self) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4897 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4898 def number_class(self, a): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4899 """Returns an indication of the class of the operand. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4900 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4901 The class is one of the following strings: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4902 -sNaN |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4903 -NaN |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4904 -Infinity |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4905 -Normal |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4906 -Subnormal |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4907 -Zero |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4908 +Zero |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4909 +Subnormal |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4910 +Normal |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4911 +Infinity |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4912 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4913 >>> c = Context(ExtendedContext) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4914 >>> c.Emin = -999 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4915 >>> c.Emax = 999 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4916 >>> c.number_class(Decimal('Infinity')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4917 '+Infinity' |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4918 >>> c.number_class(Decimal('1E-10')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4919 '+Normal' |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4920 >>> c.number_class(Decimal('2.50')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4921 '+Normal' |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4922 >>> c.number_class(Decimal('0.1E-999')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4923 '+Subnormal' |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4924 >>> c.number_class(Decimal('0')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4925 '+Zero' |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4926 >>> c.number_class(Decimal('-0')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4927 '-Zero' |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4928 >>> c.number_class(Decimal('-0.1E-999')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4929 '-Subnormal' |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4930 >>> c.number_class(Decimal('-1E-10')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4931 '-Normal' |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4932 >>> c.number_class(Decimal('-2.50')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4933 '-Normal' |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4934 >>> c.number_class(Decimal('-Infinity')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4935 '-Infinity' |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4936 >>> c.number_class(Decimal('NaN')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4937 'NaN' |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4938 >>> c.number_class(Decimal('-NaN')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4939 'NaN' |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4940 >>> c.number_class(Decimal('sNaN')) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4941 'sNaN' |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4942 >>> c.number_class(123) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4943 '+Normal' |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4944 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4945 a = _convert_other(a, raiseit=True) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4946 return a.number_class(context=self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4947 |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4948 def plus(self, a): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4949 """Plus corresponds to unary prefix plus in Python. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4950 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4951 The operation is evaluated using the same rules as add; the |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4952 operation plus(a) is calculated as add('0', a) where the '0' |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4953 has the same exponent as the operand. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4954 |
| 32482 | 4955 >>> ExtendedContext.plus(Decimal('1.3')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4956 Decimal('1.3') |
| 32482 | 4957 >>> ExtendedContext.plus(Decimal('-1.3')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4958 Decimal('-1.3') |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4959 >>> ExtendedContext.plus(-1) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4960 Decimal('-1') |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4961 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
4962 a = _convert_other(a, raiseit=True) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4963 return a.__pos__(context=self) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4964 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4965 def power(self, a, b, modulo=None): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4966 """Raises a to the power of b, to modulo if given. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
4967 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4968 With two arguments, compute a**b. If a is negative then b |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4969 must be integral. The result will be inexact unless b is |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4970 integral and the result is finite and can be expressed exactly |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4971 in 'precision' digits. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4972 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4973 With three arguments, compute (a**b) % modulo. For the |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4974 three argument form, the following restrictions on the |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4975 arguments hold: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4976 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4977 - all three arguments must be integral |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4978 - b must be nonnegative |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4979 - at least one of a or b must be nonzero |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4980 - modulo must be nonzero and have at most 'precision' digits |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4981 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4982 The result of pow(a, b, modulo) is identical to the result |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4983 that would be obtained by computing (a**b) % modulo with |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4984 unbounded precision, but is computed more efficiently. It is |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4985 always exact. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4986 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4987 >>> c = ExtendedContext.copy() |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4988 >>> c.Emin = -999 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4989 >>> c.Emax = 999 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4990 >>> c.power(Decimal('2'), Decimal('3')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
4991 Decimal('8') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4992 >>> c.power(Decimal('-2'), Decimal('3')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
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changeset
|
4993 Decimal('-8') |
|
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Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
4994 >>> c.power(Decimal('2'), Decimal('-3')) |
|
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parents:
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|
4995 Decimal('0.125') |
|
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Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
4996 >>> c.power(Decimal('1.7'), Decimal('8')) |
|
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Fix decimal repr which should have used single quotes like other reprs.
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parents:
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|
4997 Decimal('69.7575744') |
|
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Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
4998 >>> c.power(Decimal('10'), Decimal('0.301029996')) |
|
45321
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Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
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|
4999 Decimal('2.00000000') |
|
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Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5000 >>> c.power(Decimal('Infinity'), Decimal('-1')) |
|
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Fix decimal repr which should have used single quotes like other reprs.
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parents:
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diff
changeset
|
5001 Decimal('0') |
|
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Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5002 >>> c.power(Decimal('Infinity'), Decimal('0')) |
|
45321
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Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
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diff
changeset
|
5003 Decimal('1') |
|
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Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5004 >>> c.power(Decimal('Infinity'), Decimal('1')) |
|
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parents:
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|
5005 Decimal('Infinity') |
|
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Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5006 >>> c.power(Decimal('-Infinity'), Decimal('-1')) |
|
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parents:
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diff
changeset
|
5007 Decimal('-0') |
|
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Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5008 >>> c.power(Decimal('-Infinity'), Decimal('0')) |
|
45321
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Fix decimal repr which should have used single quotes like other reprs.
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parents:
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|
5009 Decimal('1') |
|
44600
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Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5010 >>> c.power(Decimal('-Infinity'), Decimal('1')) |
|
45321
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parents:
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|
5011 Decimal('-Infinity') |
|
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Facundo Batista <facundobatista@gmail.com>
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diff
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|
5012 >>> c.power(Decimal('-Infinity'), Decimal('2')) |
|
45321
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parents:
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|
5013 Decimal('Infinity') |
|
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Facundo Batista <facundobatista@gmail.com>
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diff
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|
5014 >>> c.power(Decimal('0'), Decimal('0')) |
|
45321
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parents:
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|
5015 Decimal('NaN') |
|
44600
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Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5016 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5017 >>> c.power(Decimal('3'), Decimal('7'), Decimal('16')) |
|
45321
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parents:
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|
5018 Decimal('11') |
|
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Facundo Batista <facundobatista@gmail.com>
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diff
changeset
|
5019 >>> c.power(Decimal('-3'), Decimal('7'), Decimal('16')) |
|
45321
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parents:
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|
5020 Decimal('-11') |
|
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parents:
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diff
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|
5021 >>> c.power(Decimal('-3'), Decimal('8'), Decimal('16')) |
|
45321
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parents:
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|
5022 Decimal('1') |
|
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diff
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|
5023 >>> c.power(Decimal('3'), Decimal('7'), Decimal('-16')) |
|
45321
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parents:
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|
5024 Decimal('11') |
|
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Facundo Batista <facundobatista@gmail.com>
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diff
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|
5025 >>> c.power(Decimal('23E12345'), Decimal('67E189'), Decimal('123456789')) |
|
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Fix decimal repr which should have used single quotes like other reprs.
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parents:
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|
5026 Decimal('11729830') |
|
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Facundo Batista <facundobatista@gmail.com>
parents:
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diff
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|
5027 >>> c.power(Decimal('-0'), Decimal('17'), Decimal('1729')) |
|
45321
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Raymond Hettinger <python@rcn.com>
parents:
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|
5028 Decimal('-0') |
|
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Facundo Batista <facundobatista@gmail.com>
parents:
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|
5029 >>> c.power(Decimal('-23'), Decimal('0'), Decimal('65537')) |
|
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Raymond Hettinger <python@rcn.com>
parents:
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|
5030 Decimal('1') |
|
58934
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Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
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|
5031 >>> ExtendedContext.power(7, 7) |
|
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|
5032 Decimal('823543') |
|
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Issue #7633: Context method in the decimal module (with the exception
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|
5033 >>> ExtendedContext.power(Decimal(7), 7) |
|
e3d071233bef
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parents:
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|
5034 Decimal('823543') |
|
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Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
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|
5035 >>> ExtendedContext.power(7, Decimal(7), 2) |
|
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|
5036 Decimal('1') |
|
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Move Decimal from the sandbox into production.
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|
5037 """ |
|
58934
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diff
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|
5038 a = _convert_other(a, raiseit=True) |
|
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parents:
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|
5039 r = a.__pow__(b, modulo, context=self) |
|
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Issue #7633: Context method in the decimal module (with the exception
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|
5040 if r is NotImplemented: |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
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|
5041 raise TypeError("Unable to convert %s to Decimal" % b) |
|
e3d071233bef
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|
5042 else: |
|
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|
5043 return r |
|
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Move Decimal from the sandbox into production.
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diff
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|
5044 |
|
d2c1c7ae7cf4
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|
5045 def quantize(self, a, b): |
|
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diff
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|
5046 """Returns a value equal to 'a' (rounded), having the exponent of 'b'. |
|
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diff
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|
5047 |
|
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diff
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|
5048 The coefficient of the result is derived from that of the left-hand |
|
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diff
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|
5049 operand. It may be rounded using the current rounding setting (if the |
|
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Move Decimal from the sandbox into production.
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diff
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|
5050 exponent is being increased), multiplied by a positive power of ten (if |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
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diff
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|
5051 the exponent is being decreased), or is unchanged (if the exponent is |
|
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diff
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|
5052 already equal to that of the right-hand operand). |
|
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diff
changeset
|
5053 |
|
d2c1c7ae7cf4
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parents:
diff
changeset
|
5054 Unlike other operations, if the length of the coefficient after the |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5055 quantize operation would be greater than precision then an Invalid |
|
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changeset
|
5056 operation condition is raised. This guarantees that, unless there is |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5057 an error condition, the exponent of the result of a quantize is always |
|
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Move Decimal from the sandbox into production.
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parents:
diff
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|
5058 equal to that of the right-hand operand. |
|
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Move Decimal from the sandbox into production.
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parents:
diff
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|
5059 |
|
d2c1c7ae7cf4
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changeset
|
5060 Also unlike other operations, quantize will never raise Underflow, even |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
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|
5061 if the result is subnormal and inexact. |
|
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parents:
diff
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|
5062 |
| 32482 | 5063 >>> ExtendedContext.quantize(Decimal('2.17'), Decimal('0.001')) |
|
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|
5064 Decimal('2.170') |
| 32482 | 5065 >>> ExtendedContext.quantize(Decimal('2.17'), Decimal('0.01')) |
|
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|
5066 Decimal('2.17') |
| 32482 | 5067 >>> ExtendedContext.quantize(Decimal('2.17'), Decimal('0.1')) |
|
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|
5068 Decimal('2.2') |
| 32482 | 5069 >>> ExtendedContext.quantize(Decimal('2.17'), Decimal('1e+0')) |
|
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changeset
|
5070 Decimal('2') |
| 32482 | 5071 >>> ExtendedContext.quantize(Decimal('2.17'), Decimal('1e+1')) |
|
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|
5072 Decimal('0E+1') |
| 32482 | 5073 >>> ExtendedContext.quantize(Decimal('-Inf'), Decimal('Infinity')) |
|
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|
5074 Decimal('-Infinity') |
| 32482 | 5075 >>> ExtendedContext.quantize(Decimal('2'), Decimal('Infinity')) |
|
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|
5076 Decimal('NaN') |
| 32482 | 5077 >>> ExtendedContext.quantize(Decimal('-0.1'), Decimal('1')) |
|
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|
5078 Decimal('-0') |
| 32482 | 5079 >>> ExtendedContext.quantize(Decimal('-0'), Decimal('1e+5')) |
|
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|
5080 Decimal('-0E+5') |
| 32482 | 5081 >>> ExtendedContext.quantize(Decimal('+35236450.6'), Decimal('1e-2')) |
|
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|
5082 Decimal('NaN') |
| 32482 | 5083 >>> ExtendedContext.quantize(Decimal('-35236450.6'), Decimal('1e-2')) |
|
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|
5084 Decimal('NaN') |
| 32482 | 5085 >>> ExtendedContext.quantize(Decimal('217'), Decimal('1e-1')) |
|
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|
5086 Decimal('217.0') |
| 32482 | 5087 >>> ExtendedContext.quantize(Decimal('217'), Decimal('1e-0')) |
|
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|
5088 Decimal('217') |
| 32482 | 5089 >>> ExtendedContext.quantize(Decimal('217'), Decimal('1e+1')) |
|
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|
5090 Decimal('2.2E+2') |
| 32482 | 5091 >>> ExtendedContext.quantize(Decimal('217'), Decimal('1e+2')) |
|
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|
5092 Decimal('2E+2') |
|
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|
5093 >>> ExtendedContext.quantize(1, 2) |
|
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|
5094 Decimal('1') |
|
e3d071233bef
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diff
changeset
|
5095 >>> ExtendedContext.quantize(Decimal(1), 2) |
|
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changeset
|
5096 Decimal('1') |
|
e3d071233bef
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changeset
|
5097 >>> ExtendedContext.quantize(1, Decimal(2)) |
|
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changeset
|
5098 Decimal('1') |
|
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|
5099 """ |
|
58934
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changeset
|
5100 a = _convert_other(a, raiseit=True) |
|
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|
5101 return a.quantize(b, context=self) |
|
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changeset
|
5102 |
|
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9a60bd8f00d6
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diff
changeset
|
5103 def radix(self): |
|
9a60bd8f00d6
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diff
changeset
|
5104 """Just returns 10, as this is Decimal, :) |
|
9a60bd8f00d6
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changeset
|
5105 |
|
9a60bd8f00d6
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diff
changeset
|
5106 >>> ExtendedContext.radix() |
|
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changeset
|
5107 Decimal('10') |
|
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Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5108 """ |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5109 return Decimal(10) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5110 |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5111 def remainder(self, a, b): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5112 """Returns the remainder from integer division. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5113 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5114 The result is the residue of the dividend after the operation of |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5115 calculating integer division as described for divide-integer, rounded |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5116 to precision digits if necessary. The sign of the result, if |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5117 non-zero, is the same as that of the original dividend. |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5118 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5119 This operation will fail under the same conditions as integer division |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5120 (that is, if integer division on the same two operands would fail, the |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5121 remainder cannot be calculated). |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5122 |
| 32482 | 5123 >>> ExtendedContext.remainder(Decimal('2.1'), Decimal('3')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5124 Decimal('2.1') |
| 32482 | 5125 >>> ExtendedContext.remainder(Decimal('10'), Decimal('3')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5126 Decimal('1') |
| 32482 | 5127 >>> ExtendedContext.remainder(Decimal('-10'), Decimal('3')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5128 Decimal('-1') |
| 32482 | 5129 >>> ExtendedContext.remainder(Decimal('10.2'), Decimal('1')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5130 Decimal('0.2') |
| 32482 | 5131 >>> ExtendedContext.remainder(Decimal('10'), Decimal('0.3')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5132 Decimal('0.1') |
| 32482 | 5133 >>> ExtendedContext.remainder(Decimal('3.6'), Decimal('1.3')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5134 Decimal('1.0') |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5135 >>> ExtendedContext.remainder(22, 6) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5136 Decimal('4') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5137 >>> ExtendedContext.remainder(Decimal(22), 6) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5138 Decimal('4') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5139 >>> ExtendedContext.remainder(22, Decimal(6)) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5140 Decimal('4') |
|
32451
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Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5141 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5142 a = _convert_other(a, raiseit=True) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5143 r = a.__mod__(b, context=self) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5144 if r is NotImplemented: |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5145 raise TypeError("Unable to convert %s to Decimal" % b) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5146 else: |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5147 return r |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5148 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5149 def remainder_near(self, a, b): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5150 """Returns to be "a - b * n", where n is the integer nearest the exact |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5151 value of "x / b" (if two integers are equally near then the even one |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5152 is chosen). If the result is equal to 0 then its sign will be the |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5153 sign of a. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5154 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5155 This operation will fail under the same conditions as integer division |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5156 (that is, if integer division on the same two operands would fail, the |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5157 remainder cannot be calculated). |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5158 |
| 32482 | 5159 >>> ExtendedContext.remainder_near(Decimal('2.1'), Decimal('3')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5160 Decimal('-0.9') |
| 32482 | 5161 >>> ExtendedContext.remainder_near(Decimal('10'), Decimal('6')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5162 Decimal('-2') |
| 32482 | 5163 >>> ExtendedContext.remainder_near(Decimal('10'), Decimal('3')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5164 Decimal('1') |
| 32482 | 5165 >>> ExtendedContext.remainder_near(Decimal('-10'), Decimal('3')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5166 Decimal('-1') |
| 32482 | 5167 >>> ExtendedContext.remainder_near(Decimal('10.2'), Decimal('1')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5168 Decimal('0.2') |
| 32482 | 5169 >>> ExtendedContext.remainder_near(Decimal('10'), Decimal('0.3')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5170 Decimal('0.1') |
| 32482 | 5171 >>> ExtendedContext.remainder_near(Decimal('3.6'), Decimal('1.3')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5172 Decimal('-0.3') |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5173 >>> ExtendedContext.remainder_near(3, 11) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5174 Decimal('3') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5175 >>> ExtendedContext.remainder_near(Decimal(3), 11) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5176 Decimal('3') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5177 >>> ExtendedContext.remainder_near(3, Decimal(11)) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5178 Decimal('3') |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5179 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5180 a = _convert_other(a, raiseit=True) |
|
32451
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Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5181 return a.remainder_near(b, context=self) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5182 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5183 def rotate(self, a, b): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5184 """Returns a rotated copy of a, b times. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5185 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5186 The coefficient of the result is a rotated copy of the digits in |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5187 the coefficient of the first operand. The number of places of |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5188 rotation is taken from the absolute value of the second operand, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5189 with the rotation being to the left if the second operand is |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5190 positive or to the right otherwise. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5191 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5192 >>> ExtendedContext.rotate(Decimal('34'), Decimal('8')) |
|
45321
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Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5193 Decimal('400000003') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5194 >>> ExtendedContext.rotate(Decimal('12'), Decimal('9')) |
|
45321
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Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5195 Decimal('12') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5196 >>> ExtendedContext.rotate(Decimal('123456789'), Decimal('-2')) |
|
45321
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Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
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diff
changeset
|
5197 Decimal('891234567') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5198 >>> ExtendedContext.rotate(Decimal('123456789'), Decimal('0')) |
|
45321
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Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
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diff
changeset
|
5199 Decimal('123456789') |
|
44600
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Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5200 >>> ExtendedContext.rotate(Decimal('123456789'), Decimal('+2')) |
|
45321
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Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5201 Decimal('345678912') |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5202 >>> ExtendedContext.rotate(1333333, 1) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
5203 Decimal('13333330') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
5204 >>> ExtendedContext.rotate(Decimal(1333333), 1) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
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parents:
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diff
changeset
|
5205 Decimal('13333330') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
5206 >>> ExtendedContext.rotate(1333333, Decimal(1)) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
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parents:
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diff
changeset
|
5207 Decimal('13333330') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
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diff
changeset
|
5208 """ |
|
58934
e3d071233bef
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parents:
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diff
changeset
|
5209 a = _convert_other(a, raiseit=True) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5210 return a.rotate(b, context=self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5211 |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
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diff
changeset
|
5212 def same_quantum(self, a, b): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5213 """Returns True if the two operands have the same exponent. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5214 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5215 The result is never affected by either the sign or the coefficient of |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5216 either operand. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5217 |
| 32482 | 5218 >>> ExtendedContext.same_quantum(Decimal('2.17'), Decimal('0.001')) |
|
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Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
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diff
changeset
|
5219 False |
| 32482 | 5220 >>> ExtendedContext.same_quantum(Decimal('2.17'), Decimal('0.01')) |
|
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Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
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diff
changeset
|
5221 True |
| 32482 | 5222 >>> ExtendedContext.same_quantum(Decimal('2.17'), Decimal('1')) |
|
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Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
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diff
changeset
|
5223 False |
| 32482 | 5224 >>> ExtendedContext.same_quantum(Decimal('Inf'), Decimal('-Inf')) |
|
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Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
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diff
changeset
|
5225 True |
|
58934
e3d071233bef
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diff
changeset
|
5226 >>> ExtendedContext.same_quantum(10000, -1) |
|
e3d071233bef
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changeset
|
5227 True |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5228 >>> ExtendedContext.same_quantum(Decimal(10000), -1) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5229 True |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5230 >>> ExtendedContext.same_quantum(10000, Decimal(-1)) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5231 True |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5232 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5233 a = _convert_other(a, raiseit=True) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5234 return a.same_quantum(b) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5235 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5236 def scaleb (self, a, b): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5237 """Returns the first operand after adding the second value its exp. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5238 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5239 >>> ExtendedContext.scaleb(Decimal('7.50'), Decimal('-2')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5240 Decimal('0.0750') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5241 >>> ExtendedContext.scaleb(Decimal('7.50'), Decimal('0')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5242 Decimal('7.50') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5243 >>> ExtendedContext.scaleb(Decimal('7.50'), Decimal('3')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5244 Decimal('7.50E+3') |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5245 >>> ExtendedContext.scaleb(1, 4) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5246 Decimal('1E+4') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5247 >>> ExtendedContext.scaleb(Decimal(1), 4) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5248 Decimal('1E+4') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5249 >>> ExtendedContext.scaleb(1, Decimal(4)) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5250 Decimal('1E+4') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5251 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5252 a = _convert_other(a, raiseit=True) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
5253 return a.scaleb(b, context=self) |
|
44600
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Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5254 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5255 def shift(self, a, b): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5256 """Returns a shifted copy of a, b times. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5257 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5258 The coefficient of the result is a shifted copy of the digits |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5259 in the coefficient of the first operand. The number of places |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5260 to shift is taken from the absolute value of the second operand, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5261 with the shift being to the left if the second operand is |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5262 positive or to the right otherwise. Digits shifted into the |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5263 coefficient are zeros. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5264 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5265 >>> ExtendedContext.shift(Decimal('34'), Decimal('8')) |
|
45321
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Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5266 Decimal('400000000') |
|
44600
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Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5267 >>> ExtendedContext.shift(Decimal('12'), Decimal('9')) |
|
45321
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Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5268 Decimal('0') |
|
44600
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Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5269 >>> ExtendedContext.shift(Decimal('123456789'), Decimal('-2')) |
|
45321
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Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5270 Decimal('1234567') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5271 >>> ExtendedContext.shift(Decimal('123456789'), Decimal('0')) |
|
45321
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Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5272 Decimal('123456789') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5273 >>> ExtendedContext.shift(Decimal('123456789'), Decimal('+2')) |
|
45321
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Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5274 Decimal('345678900') |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
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|
5275 >>> ExtendedContext.shift(88888888, 2) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
5276 Decimal('888888800') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5277 >>> ExtendedContext.shift(Decimal(88888888), 2) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
5278 Decimal('888888800') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5279 >>> ExtendedContext.shift(88888888, Decimal(2)) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5280 Decimal('888888800') |
|
44600
9a60bd8f00d6
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Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5281 """ |
|
58934
e3d071233bef
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Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5282 a = _convert_other(a, raiseit=True) |
|
44600
9a60bd8f00d6
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Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5283 return a.shift(b, context=self) |
|
9a60bd8f00d6
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Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5284 |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5285 def sqrt(self, a): |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5286 """Square root of a non-negative number to context precision. |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5287 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5288 If the result must be inexact, it is rounded using the round-half-even |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5289 algorithm. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5290 |
| 32482 | 5291 >>> ExtendedContext.sqrt(Decimal('0')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5292 Decimal('0') |
| 32482 | 5293 >>> ExtendedContext.sqrt(Decimal('-0')) |
|
45321
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Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5294 Decimal('-0') |
| 32482 | 5295 >>> ExtendedContext.sqrt(Decimal('0.39')) |
|
45321
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Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5296 Decimal('0.624499800') |
| 32482 | 5297 >>> ExtendedContext.sqrt(Decimal('100')) |
|
45321
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Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5298 Decimal('10') |
| 32482 | 5299 >>> ExtendedContext.sqrt(Decimal('1')) |
|
45321
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Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5300 Decimal('1') |
| 32482 | 5301 >>> ExtendedContext.sqrt(Decimal('1.0')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5302 Decimal('1.0') |
| 32482 | 5303 >>> ExtendedContext.sqrt(Decimal('1.00')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5304 Decimal('1.0') |
| 32482 | 5305 >>> ExtendedContext.sqrt(Decimal('7')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5306 Decimal('2.64575131') |
| 32482 | 5307 >>> ExtendedContext.sqrt(Decimal('10')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5308 Decimal('3.16227766') |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5309 >>> ExtendedContext.sqrt(2) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5310 Decimal('1.41421356') |
| 32482 | 5311 >>> ExtendedContext.prec |
|
32481
b835d5c61d86
* Make the tests independent of the default precision.
Raymond Hettinger <python@rcn.com>
parents:
32477
diff
changeset
|
5312 9 |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5313 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5314 a = _convert_other(a, raiseit=True) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5315 return a.sqrt(context=self) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5316 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5317 def subtract(self, a, b): |
|
35379
43211be0de41
bug [ 1266296 ] Mistakes in decimal.Context.subtract documentation
Georg Brandl <georg@python.org>
parents:
35113
diff
changeset
|
5318 """Return the difference between the two operands. |
|
32451
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Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5319 |
| 32482 | 5320 >>> ExtendedContext.subtract(Decimal('1.3'), Decimal('1.07')) |
|
45321
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Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5321 Decimal('0.23') |
| 32482 | 5322 >>> ExtendedContext.subtract(Decimal('1.3'), Decimal('1.30')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5323 Decimal('0.00') |
| 32482 | 5324 >>> ExtendedContext.subtract(Decimal('1.3'), Decimal('2.07')) |
|
45321
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Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5325 Decimal('-0.77') |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5326 >>> ExtendedContext.subtract(8, 5) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5327 Decimal('3') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5328 >>> ExtendedContext.subtract(Decimal(8), 5) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5329 Decimal('3') |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5330 >>> ExtendedContext.subtract(8, Decimal(5)) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5331 Decimal('3') |
|
32451
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Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5332 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
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parents:
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diff
changeset
|
5333 a = _convert_other(a, raiseit=True) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
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parents:
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diff
changeset
|
5334 r = a.__sub__(b, context=self) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5335 if r is NotImplemented: |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5336 raise TypeError("Unable to convert %s to Decimal" % b) |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
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parents:
58485
diff
changeset
|
5337 else: |
|
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
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parents:
58485
diff
changeset
|
5338 return r |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
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diff
changeset
|
5339 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5340 def to_eng_string(self, a): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5341 """Converts a number to a string, using scientific notation. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5342 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5343 The operation is not affected by the context. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
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diff
changeset
|
5344 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5345 a = _convert_other(a, raiseit=True) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5346 return a.to_eng_string(context=self) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5347 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5348 def to_sci_string(self, a): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5349 """Converts a number to a string, using scientific notation. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5350 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5351 The operation is not affected by the context. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5352 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5353 a = _convert_other(a, raiseit=True) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5354 return a.__str__(context=self) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5355 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5356 def to_integral_exact(self, a): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5357 """Rounds to an integer. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5358 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5359 When the operand has a negative exponent, the result is the same |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5360 as using the quantize() operation using the given operand as the |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5361 left-hand-operand, 1E+0 as the right-hand-operand, and the precision |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5362 of the operand as the precision setting; Inexact and Rounded flags |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5363 are allowed in this operation. The rounding mode is taken from the |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5364 context. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5365 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5366 >>> ExtendedContext.to_integral_exact(Decimal('2.1')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5367 Decimal('2') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5368 >>> ExtendedContext.to_integral_exact(Decimal('100')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5369 Decimal('100') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5370 >>> ExtendedContext.to_integral_exact(Decimal('100.0')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5371 Decimal('100') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5372 >>> ExtendedContext.to_integral_exact(Decimal('101.5')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5373 Decimal('102') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5374 >>> ExtendedContext.to_integral_exact(Decimal('-101.5')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5375 Decimal('-102') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5376 >>> ExtendedContext.to_integral_exact(Decimal('10E+5')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5377 Decimal('1.0E+6') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5378 >>> ExtendedContext.to_integral_exact(Decimal('7.89E+77')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5379 Decimal('7.89E+77') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5380 >>> ExtendedContext.to_integral_exact(Decimal('-Inf')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5381 Decimal('-Infinity') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5382 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5383 a = _convert_other(a, raiseit=True) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5384 return a.to_integral_exact(context=self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5385 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5386 def to_integral_value(self, a): |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5387 """Rounds to an integer. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5388 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5389 When the operand has a negative exponent, the result is the same |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5390 as using the quantize() operation using the given operand as the |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5391 left-hand-operand, 1E+0 as the right-hand-operand, and the precision |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5392 of the operand as the precision setting, except that no flags will |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5393 be set. The rounding mode is taken from the context. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5394 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5395 >>> ExtendedContext.to_integral_value(Decimal('2.1')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5396 Decimal('2') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5397 >>> ExtendedContext.to_integral_value(Decimal('100')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5398 Decimal('100') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5399 >>> ExtendedContext.to_integral_value(Decimal('100.0')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5400 Decimal('100') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5401 >>> ExtendedContext.to_integral_value(Decimal('101.5')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5402 Decimal('102') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5403 >>> ExtendedContext.to_integral_value(Decimal('-101.5')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5404 Decimal('-102') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5405 >>> ExtendedContext.to_integral_value(Decimal('10E+5')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5406 Decimal('1.0E+6') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5407 >>> ExtendedContext.to_integral_value(Decimal('7.89E+77')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5408 Decimal('7.89E+77') |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5409 >>> ExtendedContext.to_integral_value(Decimal('-Inf')) |
|
45321
33122ff83405
Fix decimal repr which should have used single quotes like other reprs.
Raymond Hettinger <python@rcn.com>
parents:
45293
diff
changeset
|
5410 Decimal('-Infinity') |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5411 """ |
|
58934
e3d071233bef
Issue #7633: Context method in the decimal module (with the exception
Mark Dickinson <dickinsm@gmail.com>
parents:
58485
diff
changeset
|
5412 a = _convert_other(a, raiseit=True) |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5413 return a.to_integral_value(context=self) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5414 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5415 # the method name changed, but we provide also the old one, for compatibility |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5416 to_integral = to_integral_value |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5417 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5418 class _WorkRep(object): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5419 __slots__ = ('sign','int','exp') |
| 33851 | 5420 # sign: 0 or 1 |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
5421 # int: int or long |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5422 # exp: None, int, or string |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5423 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5424 def __init__(self, value=None): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5425 if value is None: |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5426 self.sign = None |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
5427 self.int = 0 |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5428 self.exp = None |
| 33851 | 5429 elif isinstance(value, Decimal): |
| 5430 self.sign = value._sign | |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5431 self.int = int(value._int) |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5432 self.exp = value._exp |
| 33851 | 5433 else: |
| 5434 # assert isinstance(value, tuple) | |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5435 self.sign = value[0] |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5436 self.int = value[1] |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5437 self.exp = value[2] |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5438 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5439 def __repr__(self): |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5440 return "(%r, %r, %r)" % (self.sign, self.int, self.exp) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5441 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5442 __str__ = __repr__ |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5443 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5444 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5445 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5446 def _normalize(op1, op2, prec = 0): |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5447 """Normalizes op1, op2 to have the same exp and length of coefficient. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5448 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5449 Done during addition. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5450 """ |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5451 if op1.exp < op2.exp: |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5452 tmp = op2 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5453 other = op1 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5454 else: |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5455 tmp = op1 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5456 other = op2 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5457 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5458 # Let exp = min(tmp.exp - 1, tmp.adjusted() - precision - 1). |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
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parents:
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diff
changeset
|
5459 # Then adding 10**exp to tmp has the same effect (after rounding) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5460 # as adding any positive quantity smaller than 10**exp; similarly |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5461 # for subtraction. So if other is smaller than 10**exp we replace |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5462 # it with 10**exp. This avoids tmp.exp - other.exp getting too large. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5463 tmp_len = len(str(tmp.int)) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5464 other_len = len(str(other.int)) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5465 exp = tmp.exp + min(-1, tmp_len - prec - 2) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5466 if other_len + other.exp - 1 < exp: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5467 other.int = 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5468 other.exp = exp |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5469 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5470 tmp.int *= 10 ** (tmp.exp - other.exp) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5471 tmp.exp = other.exp |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5472 return op1, op2 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5473 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5474 ##### Integer arithmetic functions used by ln, log10, exp and __pow__ ##### |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5475 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5476 # This function from Tim Peters was taken from here: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5477 # http://mail.python.org/pipermail/python-list/1999-July/007758.html |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5478 # The correction being in the function definition is for speed, and |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5479 # the whole function is not resolved with math.log because of avoiding |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5480 # the use of floats. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5481 def _nbits(n, correction = { |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5482 '0': 4, '1': 3, '2': 2, '3': 2, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5483 '4': 1, '5': 1, '6': 1, '7': 1, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5484 '8': 0, '9': 0, 'a': 0, 'b': 0, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5485 'c': 0, 'd': 0, 'e': 0, 'f': 0}): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5486 """Number of bits in binary representation of the positive integer n, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5487 or 0 if n == 0. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5488 """ |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5489 if n < 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5490 raise ValueError("The argument to _nbits should be nonnegative.") |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5491 hex_n = "%x" % n |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5492 return 4*len(hex_n) - correction[hex_n[0]] |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5493 |
|
70637
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
69271
diff
changeset
|
5494 def _decimal_lshift_exact(n, e): |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
69271
diff
changeset
|
5495 """ Given integers n and e, return n * 10**e if it's an integer, else None. |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
69271
diff
changeset
|
5496 |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
69271
diff
changeset
|
5497 The computation is designed to avoid computing large powers of 10 |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
69271
diff
changeset
|
5498 unnecessarily. |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
69271
diff
changeset
|
5499 |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
69271
diff
changeset
|
5500 >>> _decimal_lshift_exact(3, 4) |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
69271
diff
changeset
|
5501 30000 |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
69271
diff
changeset
|
5502 >>> _decimal_lshift_exact(300, -999999999) # returns None |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
69271
diff
changeset
|
5503 |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
69271
diff
changeset
|
5504 """ |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
69271
diff
changeset
|
5505 if n == 0: |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
69271
diff
changeset
|
5506 return 0 |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
69271
diff
changeset
|
5507 elif e >= 0: |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
69271
diff
changeset
|
5508 return n * 10**e |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
69271
diff
changeset
|
5509 else: |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
69271
diff
changeset
|
5510 # val_n = largest power of 10 dividing n. |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
69271
diff
changeset
|
5511 str_n = str(abs(n)) |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
69271
diff
changeset
|
5512 val_n = len(str_n) - len(str_n.rstrip('0')) |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
69271
diff
changeset
|
5513 return None if val_n < -e else n // 10**-e |
|
78d79499e7de
Issue #12080: Fix a performance issue in Decimal._power_exact that caused some corner-case Decimal.__pow__ calls to take an unreasonably long time.
Mark Dickinson <mdickinson@enthought.com>
parents:
69271
diff
changeset
|
5514 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5515 def _sqrt_nearest(n, a): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5516 """Closest integer to the square root of the positive integer n. a is |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5517 an initial approximation to the square root. Any positive integer |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5518 will do for a, but the closer a is to the square root of n the |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5519 faster convergence will be. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5520 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5521 """ |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5522 if n <= 0 or a <= 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5523 raise ValueError("Both arguments to _sqrt_nearest should be positive.") |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5524 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5525 b=0 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5526 while a != b: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5527 b, a = a, a--n//a>>1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5528 return a |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5529 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5530 def _rshift_nearest(x, shift): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5531 """Given an integer x and a nonnegative integer shift, return closest |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5532 integer to x / 2**shift; use round-to-even in case of a tie. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5533 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5534 """ |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5535 b, q = 1L << shift, x >> shift |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5536 return q + (2*(x & (b-1)) + (q&1) > b) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5537 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5538 def _div_nearest(a, b): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5539 """Closest integer to a/b, a and b positive integers; rounds to even |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5540 in the case of a tie. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5541 |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5542 """ |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5543 q, r = divmod(a, b) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5544 return q + (2*r + (q&1) > b) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5545 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5546 def _ilog(x, M, L = 8): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5547 """Integer approximation to M*log(x/M), with absolute error boundable |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5548 in terms only of x/M. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5549 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5550 Given positive integers x and M, return an integer approximation to |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5551 M * log(x/M). For L = 8 and 0.1 <= x/M <= 10 the difference |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5552 between the approximation and the exact result is at most 22. For |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5553 L = 8 and 1.0 <= x/M <= 10.0 the difference is at most 15. In |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5554 both cases these are upper bounds on the error; it will usually be |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5555 much smaller.""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
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diff
changeset
|
5556 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5557 # The basic algorithm is the following: let log1p be the function |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5558 # log1p(x) = log(1+x). Then log(x/M) = log1p((x-M)/M). We use |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5559 # the reduction |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5560 # |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5561 # log1p(y) = 2*log1p(y/(1+sqrt(1+y))) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5562 # |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5563 # repeatedly until the argument to log1p is small (< 2**-L in |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5564 # absolute value). For small y we can use the Taylor series |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5565 # expansion |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5566 # |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5567 # log1p(y) ~ y - y**2/2 + y**3/3 - ... - (-y)**T/T |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5568 # |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5569 # truncating at T such that y**T is small enough. The whole |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5570 # computation is carried out in a form of fixed-point arithmetic, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5571 # with a real number z being represented by an integer |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5572 # approximation to z*M. To avoid loss of precision, the y below |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5573 # is actually an integer approximation to 2**R*y*M, where R is the |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5574 # number of reductions performed so far. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5575 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5576 y = x-M |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5577 # argument reduction; R = number of reductions performed |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5578 R = 0 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5579 while (R <= L and long(abs(y)) << L-R >= M or |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5580 R > L and abs(y) >> R-L >= M): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5581 y = _div_nearest(long(M*y) << 1, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5582 M + _sqrt_nearest(M*(M+_rshift_nearest(y, R)), M)) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5583 R += 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5584 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5585 # Taylor series with T terms |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5586 T = -int(-10*len(str(M))//(3*L)) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5587 yshift = _rshift_nearest(y, R) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5588 w = _div_nearest(M, T) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5589 for k in xrange(T-1, 0, -1): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5590 w = _div_nearest(M, k) - _div_nearest(yshift*w, M) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5591 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5592 return _div_nearest(w*y, M) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5593 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5594 def _dlog10(c, e, p): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5595 """Given integers c, e and p with c > 0, p >= 0, compute an integer |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5596 approximation to 10**p * log10(c*10**e), with an absolute error of |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5597 at most 1. Assumes that c*10**e is not exactly 1.""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5598 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5599 # increase precision by 2; compensate for this by dividing |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5600 # final result by 100 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5601 p += 2 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5602 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5603 # write c*10**e as d*10**f with either: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5604 # f >= 0 and 1 <= d <= 10, or |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5605 # f <= 0 and 0.1 <= d <= 1. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5606 # Thus for c*10**e close to 1, f = 0 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5607 l = len(str(c)) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5608 f = e+l - (e+l >= 1) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5609 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5610 if p > 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5611 M = 10**p |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5612 k = e+p-f |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5613 if k >= 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5614 c *= 10**k |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5615 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5616 c = _div_nearest(c, 10**-k) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5617 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5618 log_d = _ilog(c, M) # error < 5 + 22 = 27 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5619 log_10 = _log10_digits(p) # error < 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5620 log_d = _div_nearest(log_d*M, log_10) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5621 log_tenpower = f*M # exact |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5622 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5623 log_d = 0 # error < 2.31 |
| 48847 | 5624 log_tenpower = _div_nearest(f, 10**-p) # error < 0.5 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5625 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5626 return _div_nearest(log_tenpower+log_d, 100) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5627 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5628 def _dlog(c, e, p): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5629 """Given integers c, e and p with c > 0, compute an integer |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5630 approximation to 10**p * log(c*10**e), with an absolute error of |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5631 at most 1. Assumes that c*10**e is not exactly 1.""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5632 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5633 # Increase precision by 2. The precision increase is compensated |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5634 # for at the end with a division by 100. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5635 p += 2 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5636 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5637 # rewrite c*10**e as d*10**f with either f >= 0 and 1 <= d <= 10, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5638 # or f <= 0 and 0.1 <= d <= 1. Then we can compute 10**p * log(c*10**e) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5639 # as 10**p * log(d) + 10**p*f * log(10). |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5640 l = len(str(c)) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5641 f = e+l - (e+l >= 1) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5642 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5643 # compute approximation to 10**p*log(d), with error < 27 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5644 if p > 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5645 k = e+p-f |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5646 if k >= 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5647 c *= 10**k |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5648 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5649 c = _div_nearest(c, 10**-k) # error of <= 0.5 in c |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5650 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5651 # _ilog magnifies existing error in c by a factor of at most 10 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5652 log_d = _ilog(c, 10**p) # error < 5 + 22 = 27 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5653 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5654 # p <= 0: just approximate the whole thing by 0; error < 2.31 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5655 log_d = 0 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5656 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5657 # compute approximation to f*10**p*log(10), with error < 11. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5658 if f: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5659 extra = len(str(abs(f)))-1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5660 if p + extra >= 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5661 # error in f * _log10_digits(p+extra) < |f| * 1 = |f| |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5662 # after division, error < |f|/10**extra + 0.5 < 10 + 0.5 < 11 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5663 f_log_ten = _div_nearest(f*_log10_digits(p+extra), 10**extra) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5664 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5665 f_log_ten = 0 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5666 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5667 f_log_ten = 0 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5668 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5669 # error in sum < 11+27 = 38; error after division < 0.38 + 0.5 < 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5670 return _div_nearest(f_log_ten + log_d, 100) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5671 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5672 class _Log10Memoize(object): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5673 """Class to compute, store, and allow retrieval of, digits of the |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5674 constant log(10) = 2.302585.... This constant is needed by |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5675 Decimal.ln, Decimal.log10, Decimal.exp and Decimal.__pow__.""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5676 def __init__(self): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5677 self.digits = "23025850929940456840179914546843642076011014886" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5678 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5679 def getdigits(self, p): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5680 """Given an integer p >= 0, return floor(10**p)*log(10). |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5681 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5682 For example, self.getdigits(3) returns 2302. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5683 """ |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5684 # digits are stored as a string, for quick conversion to |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5685 # integer in the case that we've already computed enough |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5686 # digits; the stored digits should always be correct |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5687 # (truncated, not rounded to nearest). |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5688 if p < 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5689 raise ValueError("p should be nonnegative") |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5690 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5691 if p >= len(self.digits): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5692 # compute p+3, p+6, p+9, ... digits; continue until at |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5693 # least one of the extra digits is nonzero |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5694 extra = 3 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5695 while True: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5696 # compute p+extra digits, correct to within 1ulp |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5697 M = 10**(p+extra+2) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5698 digits = str(_div_nearest(_ilog(10*M, M), 100)) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5699 if digits[-extra:] != '0'*extra: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5700 break |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5701 extra += 3 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5702 # keep all reliable digits so far; remove trailing zeros |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5703 # and next nonzero digit |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5704 self.digits = digits.rstrip('0')[:-1] |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5705 return int(self.digits[:p+1]) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5706 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5707 _log10_digits = _Log10Memoize().getdigits |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5708 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5709 def _iexp(x, M, L=8): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5710 """Given integers x and M, M > 0, such that x/M is small in absolute |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5711 value, compute an integer approximation to M*exp(x/M). For 0 <= |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5712 x/M <= 2.4, the absolute error in the result is bounded by 60 (and |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5713 is usually much smaller).""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5714 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5715 # Algorithm: to compute exp(z) for a real number z, first divide z |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5716 # by a suitable power R of 2 so that |z/2**R| < 2**-L. Then |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5717 # compute expm1(z/2**R) = exp(z/2**R) - 1 using the usual Taylor |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5718 # series |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5719 # |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5720 # expm1(x) = x + x**2/2! + x**3/3! + ... |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5721 # |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5722 # Now use the identity |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5723 # |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5724 # expm1(2x) = expm1(x)*(expm1(x)+2) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5725 # |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5726 # R times to compute the sequence expm1(z/2**R), |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5727 # expm1(z/2**(R-1)), ... , exp(z/2), exp(z). |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5728 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5729 # Find R such that x/2**R/M <= 2**-L |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5730 R = _nbits((long(x)<<L)//M) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5731 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5732 # Taylor series. (2**L)**T > M |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5733 T = -int(-10*len(str(M))//(3*L)) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5734 y = _div_nearest(x, T) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5735 Mshift = long(M)<<R |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5736 for i in xrange(T-1, 0, -1): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5737 y = _div_nearest(x*(Mshift + y), Mshift * i) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5738 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5739 # Expansion |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5740 for k in xrange(R-1, -1, -1): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5741 Mshift = long(M)<<(k+2) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5742 y = _div_nearest(y*(y+Mshift), Mshift) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5743 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5744 return M+y |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5745 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5746 def _dexp(c, e, p): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5747 """Compute an approximation to exp(c*10**e), with p decimal places of |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5748 precision. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5749 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5750 Returns integers d, f such that: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5751 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5752 10**(p-1) <= d <= 10**p, and |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5753 (d-1)*10**f < exp(c*10**e) < (d+1)*10**f |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5754 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5755 In other words, d*10**f is an approximation to exp(c*10**e) with p |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5756 digits of precision, and with an error in d of at most 1. This is |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5757 almost, but not quite, the same as the error being < 1ulp: when d |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5758 = 10**(p-1) the error could be up to 10 ulp.""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5759 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5760 # we'll call iexp with M = 10**(p+2), giving p+3 digits of precision |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5761 p += 2 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5762 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5763 # compute log(10) with extra precision = adjusted exponent of c*10**e |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5764 extra = max(0, e + len(str(c)) - 1) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5765 q = p + extra |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5766 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5767 # compute quotient c*10**e/(log(10)) = c*10**(e+q)/(log(10)*10**q), |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5768 # rounding down |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5769 shift = e+q |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5770 if shift >= 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5771 cshift = c*10**shift |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5772 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5773 cshift = c//10**-shift |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5774 quot, rem = divmod(cshift, _log10_digits(q)) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5775 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5776 # reduce remainder back to original precision |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5777 rem = _div_nearest(rem, 10**extra) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5778 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5779 # error in result of _iexp < 120; error after division < 0.62 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5780 return _div_nearest(_iexp(rem, 10**p), 1000), quot - p + 3 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5781 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5782 def _dpower(xc, xe, yc, ye, p): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5783 """Given integers xc, xe, yc and ye representing Decimals x = xc*10**xe and |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5784 y = yc*10**ye, compute x**y. Returns a pair of integers (c, e) such that: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5785 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5786 10**(p-1) <= c <= 10**p, and |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5787 (c-1)*10**e < x**y < (c+1)*10**e |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5788 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5789 in other words, c*10**e is an approximation to x**y with p digits |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5790 of precision, and with an error in c of at most 1. (This is |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5791 almost, but not quite, the same as the error being < 1ulp: when c |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5792 == 10**(p-1) we can only guarantee error < 10ulp.) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5793 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5794 We assume that: x is positive and not equal to 1, and y is nonzero. |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5795 """ |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5796 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5797 # Find b such that 10**(b-1) <= |y| <= 10**b |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5798 b = len(str(abs(yc))) + ye |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5799 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5800 # log(x) = lxc*10**(-p-b-1), to p+b+1 places after the decimal point |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5801 lxc = _dlog(xc, xe, p+b+1) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5802 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5803 # compute product y*log(x) = yc*lxc*10**(-p-b-1+ye) = pc*10**(-p-1) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5804 shift = ye-b |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5805 if shift >= 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5806 pc = lxc*yc*10**shift |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5807 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5808 pc = _div_nearest(lxc*yc, 10**-shift) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5809 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5810 if pc == 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5811 # we prefer a result that isn't exactly 1; this makes it |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5812 # easier to compute a correctly rounded result in __pow__ |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5813 if ((len(str(xc)) + xe >= 1) == (yc > 0)): # if x**y > 1: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5814 coeff, exp = 10**(p-1)+1, 1-p |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5815 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5816 coeff, exp = 10**p-1, -p |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5817 else: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5818 coeff, exp = _dexp(pc, -(p+1), p+1) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5819 coeff = _div_nearest(coeff, 10) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5820 exp += 1 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5821 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5822 return coeff, exp |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5823 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5824 def _log10_lb(c, correction = { |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5825 '1': 100, '2': 70, '3': 53, '4': 40, '5': 31, |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5826 '6': 23, '7': 16, '8': 10, '9': 5}): |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5827 """Compute a lower bound for 100*log10(c) for a positive integer c.""" |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5828 if c <= 0: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5829 raise ValueError("The argument to _log10_lb should be nonnegative.") |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5830 str_c = str(c) |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5831 return 100*len(str_c) - correction[str_c[0]] |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5832 |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5833 ##### Helper Functions #################################################### |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5834 |
|
60151
1306033d8ad2
Issue #2531: Make float-to-decimal comparisons return correct results.
Mark Dickinson <dickinsm@gmail.com>
parents:
58935
diff
changeset
|
5835 def _convert_other(other, raiseit=False, allow_float=False): |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
5836 """Convert other to Decimal. |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
5837 |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
5838 Verifies that it's ok to use in an implicit construction. |
|
60151
1306033d8ad2
Issue #2531: Make float-to-decimal comparisons return correct results.
Mark Dickinson <dickinsm@gmail.com>
parents:
58935
diff
changeset
|
5839 If allow_float is true, allow conversion from float; this |
|
1306033d8ad2
Issue #2531: Make float-to-decimal comparisons return correct results.
Mark Dickinson <dickinsm@gmail.com>
parents:
58935
diff
changeset
|
5840 is used in the comparison methods (__eq__ and friends). |
|
1306033d8ad2
Issue #2531: Make float-to-decimal comparisons return correct results.
Mark Dickinson <dickinsm@gmail.com>
parents:
58935
diff
changeset
|
5841 |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
5842 """ |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
5843 if isinstance(other, Decimal): |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
5844 return other |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
5845 if isinstance(other, (int, long)): |
|
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
5846 return Decimal(other) |
|
60151
1306033d8ad2
Issue #2531: Make float-to-decimal comparisons return correct results.
Mark Dickinson <dickinsm@gmail.com>
parents:
58935
diff
changeset
|
5847 if allow_float and isinstance(other, float): |
|
1306033d8ad2
Issue #2531: Make float-to-decimal comparisons return correct results.
Mark Dickinson <dickinsm@gmail.com>
parents:
58935
diff
changeset
|
5848 return Decimal.from_float(other) |
|
1306033d8ad2
Issue #2531: Make float-to-decimal comparisons return correct results.
Mark Dickinson <dickinsm@gmail.com>
parents:
58935
diff
changeset
|
5849 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5850 if raiseit: |
|
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5851 raise TypeError("Unable to convert %s to Decimal" % other) |
|
34812
b016236dfbd9
* Fix decimal's handling of foreign types. Now returns NotImplemented
Raymond Hettinger <python@rcn.com>
parents:
34758
diff
changeset
|
5852 return NotImplemented |
|
33519
139a4012bead
SF patch #1020845: Decimal performance enhancements
Raymond Hettinger <python@rcn.com>
parents:
33198
diff
changeset
|
5853 |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
5854 ##### Setup Specific Contexts ############################################ |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5855 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5856 # The default context prototype used by Context() |
|
32666
c13d911ae05b
* Rename "Signals" to "_signals" making it non-public.
Raymond Hettinger <python@rcn.com>
parents:
32576
diff
changeset
|
5857 # Is mutable, so that new contexts can have different default values |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5858 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5859 DefaultContext = Context( |
|
32481
b835d5c61d86
* Make the tests independent of the default precision.
Raymond Hettinger <python@rcn.com>
parents:
32477
diff
changeset
|
5860 prec=28, rounding=ROUND_HALF_EVEN, |
|
32576
83cbc025bfc7
Improve Context construction and representation:
Raymond Hettinger <python@rcn.com>
parents:
32561
diff
changeset
|
5861 traps=[DivisionByZero, Overflow, InvalidOperation], |
|
83cbc025bfc7
Improve Context construction and representation:
Raymond Hettinger <python@rcn.com>
parents:
32561
diff
changeset
|
5862 flags=[], |
|
32674
3479610fb288
Factor out two unnecessary global variables.
Raymond Hettinger <python@rcn.com>
parents:
32667
diff
changeset
|
5863 Emax=999999999, |
|
3479610fb288
Factor out two unnecessary global variables.
Raymond Hettinger <python@rcn.com>
parents:
32667
diff
changeset
|
5864 Emin=-999999999, |
| 32496 | 5865 capitals=1 |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5866 ) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5867 |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5868 # Pre-made alternate contexts offered by the specification |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5869 # Don't change these; the user should be able to select these |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5870 # contexts and be able to reproduce results from other implementations |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5871 # of the spec. |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5872 |
| 32482 | 5873 BasicContext = Context( |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5874 prec=9, rounding=ROUND_HALF_UP, |
|
32576
83cbc025bfc7
Improve Context construction and representation:
Raymond Hettinger <python@rcn.com>
parents:
32561
diff
changeset
|
5875 traps=[DivisionByZero, Overflow, InvalidOperation, Clamped, Underflow], |
|
83cbc025bfc7
Improve Context construction and representation:
Raymond Hettinger <python@rcn.com>
parents:
32561
diff
changeset
|
5876 flags=[], |
|
32451
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5877 ) |
|
d2c1c7ae7cf4
Move Decimal from the sandbox into production.
Raymond Hettinger <python@rcn.com>
parents:
diff
changeset
|
5878 |
| 32482 | 5879 ExtendedContext = Context( |
|
32481
b835d5c61d86
* Make the tests independent of the default precision.
Raymond Hettinger <python@rcn.com>
parents:
32477
diff
changeset
|
5880 prec=9, rounding=ROUND_HALF_EVEN, |
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|
5881 traps=[], |
|
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|
5882 flags=[], |
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|
5883 ) |
|
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|
5884 |
|
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5885 |
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|
5886 ##### crud for parsing strings ############################################# |
|
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5887 # |
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|
5888 # Regular expression used for parsing numeric strings. Additional |
|
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5889 # comments: |
|
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|
5890 # |
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|
5891 # 1. Uncomment the two '\s*' lines to allow leading and/or trailing |
|
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|
5892 # whitespace. But note that the specification disallows whitespace in |
|
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5893 # a numeric string. |
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5894 # |
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|
5895 # 2. For finite numbers (not infinities and NaNs) the body of the |
|
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5896 # number between the optional sign and the optional exponent must have |
|
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5897 # at least one decimal digit, possibly after the decimal point. The |
|
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5898 # lookahead expression '(?=\d|\.\d)' checks this. |
|
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5899 |
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5900 import re |
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5901 _parser = re.compile(r""" # A numeric string consists of: |
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5902 # \s* |
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5903 (?P<sign>[-+])? # an optional sign, followed by either... |
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5904 ( |
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5905 (?=\d|\.\d) # ...a number (with at least one digit) |
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5906 (?P<int>\d*) # having a (possibly empty) integer part |
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5907 (\.(?P<frac>\d*))? # followed by an optional fractional part |
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5908 (E(?P<exp>[-+]?\d+))? # followed by an optional exponent, or... |
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5909 | |
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5910 Inf(inity)? # ...an infinity, or... |
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5911 | |
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5912 (?P<signal>s)? # ...an (optionally signaling) |
|
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5913 NaN # NaN |
|
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|
5914 (?P<diag>\d*) # with (possibly empty) diagnostic info. |
|
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5915 ) |
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|
5916 # \s* |
|
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5917 \Z |
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|
5918 """, re.VERBOSE | re.IGNORECASE | re.UNICODE).match |
|
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5919 |
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5920 _all_zeros = re.compile('0*$').match |
|
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|
5921 _exact_half = re.compile('50*$').match |
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5922 |
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5923 ##### PEP3101 support functions ############################################## |
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5924 # The functions in this section have little to do with the Decimal |
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5925 # class, and could potentially be reused or adapted for other pure |
|
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5926 # Python numeric classes that want to implement __format__ |
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5927 # |
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Add __format__ method to Decimal, to support PEP 3101
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5928 # A format specifier for Decimal looks like: |
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5929 # |
|
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5930 # [[fill]align][sign][0][minimumwidth][,][.precision][type] |
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5931 |
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5932 _parse_format_specifier_regex = re.compile(r"""\A |
|
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|
5933 (?: |
|
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|
5934 (?P<fill>.)? |
|
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|
5935 (?P<align>[<>=^]) |
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|
5936 )? |
|
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|
5937 (?P<sign>[-+ ])? |
|
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|
5938 (?P<zeropad>0)? |
|
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|
5939 (?P<minimumwidth>(?!0)\d+)? |
|
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|
5940 (?P<thousands_sep>,)? |
|
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|
5941 (?:\.(?P<precision>0|(?!0)\d+))? |
|
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|
5942 (?P<type>[eEfFgGn%])? |
|
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|
5943 \Z |
|
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|
5944 """, re.VERBOSE) |
|
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|
5945 |
|
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|
5946 del re |
|
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|
5947 |
|
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|
5948 # The locale module is only needed for the 'n' format specifier. The |
|
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|
5949 # rest of the PEP 3101 code functions quite happily without it, so we |
|
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|
5950 # don't care too much if locale isn't present. |
|
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|
5951 try: |
|
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|
5952 import locale as _locale |
|
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|
5953 except ImportError: |
|
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|
5954 pass |
|
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|
5955 |
|
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|
5956 def _parse_format_specifier(format_spec, _localeconv=None): |
|
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|
5957 """Parse and validate a format specifier. |
|
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5958 |
|
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|
5959 Turns a standard numeric format specifier into a dict, with the |
|
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|
5960 following entries: |
|
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5961 |
|
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|
5962 fill: fill character to pad field to minimum width |
|
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|
5963 align: alignment type, either '<', '>', '=' or '^' |
|
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|
5964 sign: either '+', '-' or ' ' |
|
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|
5965 minimumwidth: nonnegative integer giving minimum width |
|
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|
5966 zeropad: boolean, indicating whether to pad with zeros |
|
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|
5967 thousands_sep: string to use as thousands separator, or '' |
|
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|
5968 grouping: grouping for thousands separators, in format |
|
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|
5969 used by localeconv |
|
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|
5970 decimal_point: string to use for decimal point |
|
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|
5971 precision: nonnegative integer giving precision, or None |
|
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|
5972 type: one of the characters 'eEfFgG%', or None |
|
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|
5973 unicode: boolean (always True for Python 3.x) |
|
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5974 |
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|
5975 """ |
|
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|
5976 m = _parse_format_specifier_regex.match(format_spec) |
|
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|
5977 if m is None: |
|
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|
5978 raise ValueError("Invalid format specifier: " + format_spec) |
|
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5979 |
|
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|
5980 # get the dictionary |
|
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|
5981 format_dict = m.groupdict() |
|
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5982 |
|
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5983 # zeropad; defaults for fill and alignment. If zero padding |
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|
5984 # is requested, the fill and align fields should be absent. |
|
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|
5985 fill = format_dict['fill'] |
|
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|
5986 align = format_dict['align'] |
|
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|
5987 format_dict['zeropad'] = (format_dict['zeropad'] is not None) |
|
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Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
5988 if format_dict['zeropad']: |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
5989 if fill is not None: |
|
45566
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
5990 raise ValueError("Fill character conflicts with '0'" |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
5991 " in format specifier: " + format_spec) |
|
52195
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
5992 if align is not None: |
|
45566
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
5993 raise ValueError("Alignment conflicts with '0' in " |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
5994 "format specifier: " + format_spec) |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
5995 format_dict['fill'] = fill or ' ' |
|
55890
40fd8fd96d96
Issue #6857: Fix Decimal formatting to be consistent with existing float
Mark Dickinson <dickinsm@gmail.com>
parents:
55877
diff
changeset
|
5996 # PEP 3101 originally specified that the default alignment should |
|
40fd8fd96d96
Issue #6857: Fix Decimal formatting to be consistent with existing float
Mark Dickinson <dickinsm@gmail.com>
parents:
55877
diff
changeset
|
5997 # be left; it was later agreed that right-aligned makes more sense |
|
40fd8fd96d96
Issue #6857: Fix Decimal formatting to be consistent with existing float
Mark Dickinson <dickinsm@gmail.com>
parents:
55877
diff
changeset
|
5998 # for numeric types. See http://bugs.python.org/issue6857. |
|
40fd8fd96d96
Issue #6857: Fix Decimal formatting to be consistent with existing float
Mark Dickinson <dickinsm@gmail.com>
parents:
55877
diff
changeset
|
5999 format_dict['align'] = align or '>' |
|
45566
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
6000 |
|
52195
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6001 # default sign handling: '-' for negative, '' for positive |
|
45566
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
6002 if format_dict['sign'] is None: |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
6003 format_dict['sign'] = '-' |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
6004 |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
6005 # minimumwidth defaults to 0; precision remains None if not given |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
6006 format_dict['minimumwidth'] = int(format_dict['minimumwidth'] or '0') |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
6007 if format_dict['precision'] is not None: |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
6008 format_dict['precision'] = int(format_dict['precision']) |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
6009 |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
6010 # if format type is 'g' or 'G' then a precision of 0 makes little |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
6011 # sense; convert it to 1. Same if format type is unspecified. |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
6012 if format_dict['precision'] == 0: |
|
55874
e895ef82c086
Merged revisions 74704 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
55741
diff
changeset
|
6013 if format_dict['type'] is None or format_dict['type'] in 'gG': |
|
45566
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
6014 format_dict['precision'] = 1 |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
6015 |
|
52195
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6016 # determine thousands separator, grouping, and decimal separator, and |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6017 # add appropriate entries to format_dict |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6018 if format_dict['type'] == 'n': |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6019 # apart from separators, 'n' behaves just like 'g' |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6020 format_dict['type'] = 'g' |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6021 if _localeconv is None: |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
6022 _localeconv = _locale.localeconv() |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6023 if format_dict['thousands_sep'] is not None: |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6024 raise ValueError("Explicit thousands separator conflicts with " |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6025 "'n' type in format specifier: " + format_spec) |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6026 format_dict['thousands_sep'] = _localeconv['thousands_sep'] |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6027 format_dict['grouping'] = _localeconv['grouping'] |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
6028 format_dict['decimal_point'] = _localeconv['decimal_point'] |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6029 else: |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6030 if format_dict['thousands_sep'] is None: |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6031 format_dict['thousands_sep'] = '' |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6032 format_dict['grouping'] = [3, 0] |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6033 format_dict['decimal_point'] = '.' |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6034 |
|
45566
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
6035 # record whether return type should be str or unicode |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
6036 format_dict['unicode'] = isinstance(format_spec, unicode) |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
6037 |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
6038 return format_dict |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
6039 |
|
52195
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6040 def _format_align(sign, body, spec): |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6041 """Given an unpadded, non-aligned numeric string 'body' and sign |
|
68503
ee5350f1d0c2
#11515: fix several typos. Patch by Piotr Kasprzyk.
Ezio Melotti <ezio.melotti@gmail.com>
parents:
68394
diff
changeset
|
6042 string 'sign', add padding and alignment conforming to the given |
|
52195
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6043 format specifier dictionary 'spec' (as produced by |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6044 parse_format_specifier). |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6045 |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6046 Also converts result to unicode if necessary. |
|
45566
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
6047 |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
6048 """ |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
6049 # how much extra space do we have to play with? |
|
52195
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6050 minimumwidth = spec['minimumwidth'] |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6051 fill = spec['fill'] |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6052 padding = fill*(minimumwidth - len(sign) - len(body)) |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6053 |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6054 align = spec['align'] |
|
45566
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
6055 if align == '<': |
|
52189
fd4c83928080
Merged revisions 70430 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
51294
diff
changeset
|
6056 result = sign + body + padding |
|
45566
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
6057 elif align == '>': |
|
52189
fd4c83928080
Merged revisions 70430 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
51294
diff
changeset
|
6058 result = padding + sign + body |
|
45566
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
6059 elif align == '=': |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
6060 result = sign + padding + body |
|
52195
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6061 elif align == '^': |
|
45566
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
6062 half = len(padding)//2 |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
45505
diff
changeset
|
6063 result = padding[:half] + sign + body + padding[half:] |
|
52195
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
6064 else: |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6065 raise ValueError('Unrecognised alignment field') |
|
45566
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
6066 |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
6067 # make sure that result is unicode if necessary |
|
52195
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Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
6068 if spec['unicode']: |
|
45566
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Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
6069 result = unicode(result) |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
6070 |
|
bce4c40df7df
Add __format__ method to Decimal, to support PEP 3101
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
6071 return result |
|
44600
9a60bd8f00d6
Decimal module and test cases were updated to their state of
Facundo Batista <facundobatista@gmail.com>
parents:
40769
diff
changeset
|
6072 |
|
52195
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
6073 def _group_lengths(grouping): |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6074 """Convert a localeconv-style grouping into a (possibly infinite) |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
6075 iterable of integers representing group lengths. |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
6076 |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
6077 """ |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
6078 # The result from localeconv()['grouping'], and the input to this |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
6079 # function, should be a list of integers in one of the |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
6080 # following three forms: |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
6081 # |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
6082 # (1) an empty list, or |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
6083 # (2) nonempty list of positive integers + [0] |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
6084 # (3) list of positive integers + [locale.CHAR_MAX], or |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
6085 |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6086 from itertools import chain, repeat |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6087 if not grouping: |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
6088 return [] |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
6089 elif grouping[-1] == 0 and len(grouping) >= 2: |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6090 return chain(grouping[:-1], repeat(grouping[-2])) |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
52188
diff
changeset
|
6091 elif grouping[-1] == _locale.CHAR_MAX: |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
6092 return grouping[:-1] |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
6093 else: |
|
5dee93a97558
Issue #2110: Add support for thousands separator and 'n' format specifier
Mark Dickinson <dickinsm@gmail.com>
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|
6094 raise ValueError('unrecognised format for grouping') |
|
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6095 |
|
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|
6096 def _insert_thousands_sep(digits, spec, min_width=1): |
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6097 """Insert thousands separators into a digit string. |
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6098 |
|
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|
6099 spec is a dictionary whose keys should include 'thousands_sep' and |
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|
6100 'grouping'; typically it's the result of parsing the format |
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|
6101 specifier using _parse_format_specifier. |
|
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|
6102 |
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6103 The min_width keyword argument gives the minimum length of the |
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6104 result, which will be padded on the left with zeros if necessary. |
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6105 |
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|
6106 If necessary, the zero padding adds an extra '0' on the left to |
|
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6107 avoid a leading thousands separator. For example, inserting |
|
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6108 commas every three digits in '123456', with min_width=8, gives |
|
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6109 '0,123,456', even though that has length 9. |
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|
6110 |
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6111 """ |
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6112 |
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6113 sep = spec['thousands_sep'] |
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6114 grouping = spec['grouping'] |
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6115 |
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6116 groups = [] |
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6117 for l in _group_lengths(grouping): |
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6118 if l <= 0: |
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|
6119 raise ValueError("group length should be positive") |
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6120 # max(..., 1) forces at least 1 digit to the left of a separator |
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6121 l = min(max(len(digits), min_width, 1), l) |
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6122 groups.append('0'*(l - len(digits)) + digits[-l:]) |
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6123 digits = digits[:-l] |
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6124 min_width -= l |
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6125 if not digits and min_width <= 0: |
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|
6126 break |
|
52200
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|
6127 min_width -= len(sep) |
|
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6128 else: |
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6129 l = max(len(digits), min_width, 1) |
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6130 groups.append('0'*(l - len(digits)) + digits[-l:]) |
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6131 return sep.join(reversed(groups)) |
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6132 |
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6133 def _format_sign(is_negative, spec): |
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6134 """Determine sign character.""" |
|
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6135 |
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6136 if is_negative: |
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6137 return '-' |
|
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6138 elif spec['sign'] in ' +': |
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6139 return spec['sign'] |
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6140 else: |
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6141 return '' |
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|
6142 |
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6143 def _format_number(is_negative, intpart, fracpart, exp, spec): |
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6144 """Format a number, given the following data: |
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|
6145 |
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6146 is_negative: true if the number is negative, else false |
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6147 intpart: string of digits that must appear before the decimal point |
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6148 fracpart: string of digits that must come after the point |
|
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6149 exp: exponent, as an integer |
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|
6150 spec: dictionary resulting from parsing the format specifier |
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|
6151 |
|
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|
6152 This function uses the information in spec to: |
|
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|
6153 insert separators (decimal separator and thousands separators) |
|
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|
6154 format the sign |
|
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|
6155 format the exponent |
|
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|
6156 add trailing '%' for the '%' type |
|
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|
6157 zero-pad if necessary |
|
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6158 fill and align if necessary |
|
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6159 """ |
|
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|
6160 |
|
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|
6161 sign = _format_sign(is_negative, spec) |
|
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6162 |
|
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|
6163 if fracpart: |
|
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6164 fracpart = spec['decimal_point'] + fracpart |
|
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|
6165 |
|
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|
6166 if exp != 0 or spec['type'] in 'eE': |
|
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|
6167 echar = {'E': 'E', 'e': 'e', 'G': 'E', 'g': 'e'}[spec['type']] |
|
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6168 fracpart += "{0}{1:+}".format(echar, exp) |
|
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|
6169 if spec['type'] == '%': |
|
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|
6170 fracpart += '%' |
|
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|
6171 |
|
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|
6172 if spec['zeropad']: |
|
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6173 min_width = spec['minimumwidth'] - len(fracpart) - len(sign) |
|
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6174 else: |
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|
6175 min_width = 0 |
|
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6176 intpart = _insert_thousands_sep(intpart, spec, min_width) |
|
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|
6177 |
|
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|
6178 return _format_align(sign, intpart+fracpart, spec) |
|
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6179 |
|
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|
6180 |
|
44600
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Decimal module and test cases were updated to their state of
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|
6181 ##### Useful Constants (internal use only) ################################ |
|
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|
6182 |
|
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|
6183 # Reusable defaults |
|
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|
6184 _Infinity = Decimal('Inf') |
|
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|
6185 _NegativeInfinity = Decimal('-Inf') |
|
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|
6186 _NaN = Decimal('NaN') |
|
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|
6187 _Zero = Decimal(0) |
|
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|
6188 _One = Decimal(1) |
|
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|
6189 _NegativeOne = Decimal(-1) |
|
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|
6190 |
|
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|
6191 # _SignedInfinity[sign] is infinity w/ that sign |
|
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|
6192 _SignedInfinity = (_Infinity, _NegativeInfinity) |
|
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|
6193 |
|
32451
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|
6194 |
|
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6195 |
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|
6196 if __name__ == '__main__': |
|
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|
6197 import doctest, sys |
|
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|
6198 doctest.testmod(sys.modules[__name__]) |