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annotate Modules/mathmodule.c @ 58689:514b56efd89a 3.1

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Merged revisions 77962 via svnmerge from svn+ssh://pythondev@svn.python.org/python/branches/py3k ................ r77962 | r.david.murray | 2010-02-04 11:41:57 -0500 (Thu, 04 Feb 2010) | 17 lines Merged revisions 77943,77959-77960 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r77943 | r.david.murray | 2010-02-03 08:36:23 -0500 (Wed, 03 Feb 2010) | 2 lines Explicitly mention the default value for formatdate's usegmt parameter. ........ r77959 | nick.coghlan | 2010-02-04 07:43:58 -0500 (Thu, 04 Feb 2010) | 1 line Issue 6760: Clarify args handling for subprocess.Popen. Patch by Chris Rebert ........ r77960 | r.david.murray | 2010-02-04 11:33:31 -0500 (Thu, 04 Feb 2010) | 2 lines Add Chris Rebert to ACKS for issue 6760 Popen doc improvements. ........ ................
author R. David Murray <rdmurray@bitdance.com>
date Thu, 04 Feb 2010 16:44:31 +0000
parents a0951f11be3d
children f197407bdba2
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1 /* Math module -- standard C math library functions, pi and e */
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2
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3 /* Here are some comments from Tim Peters, extracted from the
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4 discussion attached to http://bugs.python.org/issue1640. They
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5 describe the general aims of the math module with respect to
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6 special values, IEEE-754 floating-point exceptions, and Python
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7 exceptions.
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8
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9 These are the "spirit of 754" rules:
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10
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11 1. If the mathematical result is a real number, but of magnitude too
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12 large to approximate by a machine float, overflow is signaled and the
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13 result is an infinity (with the appropriate sign).
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14
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15 2. If the mathematical result is a real number, but of magnitude too
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16 small to approximate by a machine float, underflow is signaled and the
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17 result is a zero (with the appropriate sign).
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18
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19 3. At a singularity (a value x such that the limit of f(y) as y
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20 approaches x exists and is an infinity), "divide by zero" is signaled
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21 and the result is an infinity (with the appropriate sign). This is
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22 complicated a little by that the left-side and right-side limits may
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23 not be the same; e.g., 1/x approaches +inf or -inf as x approaches 0
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24 from the positive or negative directions. In that specific case, the
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25 sign of the zero determines the result of 1/0.
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26
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27 4. At a point where a function has no defined result in the extended
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28 reals (i.e., the reals plus an infinity or two), invalid operation is
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29 signaled and a NaN is returned.
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30
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31 And these are what Python has historically /tried/ to do (but not
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32 always successfully, as platform libm behavior varies a lot):
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33
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34 For #1, raise OverflowError.
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35
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36 For #2, return a zero (with the appropriate sign if that happens by
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37 accident ;-)).
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38
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39 For #3 and #4, raise ValueError. It may have made sense to raise
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40 Python's ZeroDivisionError in #3, but historically that's only been
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41 raised for division by zero and mod by zero.
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42
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43 */
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44
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45 /*
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46 In general, on an IEEE-754 platform the aim is to follow the C99
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47 standard, including Annex 'F', whenever possible. Where the
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48 standard recommends raising the 'divide-by-zero' or 'invalid'
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49 floating-point exceptions, Python should raise a ValueError. Where
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50 the standard recommends raising 'overflow', Python should raise an
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51 OverflowError. In all other circumstances a value should be
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52 returned.
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53 */
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54
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55 #include "Python.h"
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56 #include "longintrepr.h" /* just for SHIFT */
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57
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58 #ifdef _OSF_SOURCE
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59 /* OSF1 5.1 doesn't make this available with XOPEN_SOURCE_EXTENDED defined */
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60 extern double copysign(double, double);
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61 #endif
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62
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63 /* Call is_error when errno != 0, and where x is the result libm
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64 * returned. is_error will usually set up an exception and return
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65 * true (1), but may return false (0) without setting up an exception.
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66 */
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67 static int
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68 is_error(double x)
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69 {
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70 int result = 1; /* presumption of guilt */
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71 assert(errno); /* non-zero errno is a precondition for calling */
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72 if (errno == EDOM)
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73 PyErr_SetString(PyExc_ValueError, "math domain error");
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74
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75 else if (errno == ERANGE) {
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76 /* ANSI C generally requires libm functions to set ERANGE
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77 * on overflow, but also generally *allows* them to set
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78 * ERANGE on underflow too. There's no consistency about
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79 * the latter across platforms.
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80 * Alas, C99 never requires that errno be set.
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81 * Here we suppress the underflow errors (libm functions
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82 * should return a zero on underflow, and +- HUGE_VAL on
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83 * overflow, so testing the result for zero suffices to
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84 * distinguish the cases).
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85 *
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86 * On some platforms (Ubuntu/ia64) it seems that errno can be
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87 * set to ERANGE for subnormal results that do *not* underflow
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88 * to zero. So to be safe, we'll ignore ERANGE whenever the
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89 * function result is less than one in absolute value.
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90 */
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91 if (fabs(x) < 1.0)
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92 result = 0;
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93 else
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94 PyErr_SetString(PyExc_OverflowError,
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95 "math range error");
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96 }
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97 else
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98 /* Unexpected math error */
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99 PyErr_SetFromErrno(PyExc_ValueError);
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100 return result;
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101 }
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102
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103 /*
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104 wrapper for atan2 that deals directly with special cases before
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105 delegating to the platform libm for the remaining cases. This
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106 is necessary to get consistent behaviour across platforms.
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107 Windows, FreeBSD and alpha Tru64 are amongst platforms that don't
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108 always follow C99.
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109 */
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110
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111 static double
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112 m_atan2(double y, double x)
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113 {
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114 if (Py_IS_NAN(x) || Py_IS_NAN(y))
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115 return Py_NAN;
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116 if (Py_IS_INFINITY(y)) {
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117 if (Py_IS_INFINITY(x)) {
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118 if (copysign(1., x) == 1.)
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119 /* atan2(+-inf, +inf) == +-pi/4 */
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120 return copysign(0.25*Py_MATH_PI, y);
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121 else
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122 /* atan2(+-inf, -inf) == +-pi*3/4 */
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123 return copysign(0.75*Py_MATH_PI, y);
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124 }
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125 /* atan2(+-inf, x) == +-pi/2 for finite x */
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126 return copysign(0.5*Py_MATH_PI, y);
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127 }
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128 if (Py_IS_INFINITY(x) || y == 0.) {
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129 if (copysign(1., x) == 1.)
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130 /* atan2(+-y, +inf) = atan2(+-0, +x) = +-0. */
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131 return copysign(0., y);
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132 else
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133 /* atan2(+-y, -inf) = atan2(+-0., -x) = +-pi. */
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134 return copysign(Py_MATH_PI, y);
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135 }
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136 return atan2(y, x);
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137 }
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138
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139 /*
50123
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140 Various platforms (Solaris, OpenBSD) do nonstandard things for log(0),
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141 log(-ve), log(NaN). Here are wrappers for log and log10 that deal with
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142 special values directly, passing positive non-special values through to
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143 the system log/log10.
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144 */
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145
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146 static double
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147 m_log(double x)
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148 {
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149 if (Py_IS_FINITE(x)) {
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150 if (x > 0.0)
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151 return log(x);
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152 errno = EDOM;
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153 if (x == 0.0)
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154 return -Py_HUGE_VAL; /* log(0) = -inf */
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155 else
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156 return Py_NAN; /* log(-ve) = nan */
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157 }
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158 else if (Py_IS_NAN(x))
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159 return x; /* log(nan) = nan */
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160 else if (x > 0.0)
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161 return x; /* log(inf) = inf */
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162 else {
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163 errno = EDOM;
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164 return Py_NAN; /* log(-inf) = nan */
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165 }
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166 }
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167
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168 static double
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169 m_log10(double x)
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170 {
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171 if (Py_IS_FINITE(x)) {
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172 if (x > 0.0)
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173 return log10(x);
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174 errno = EDOM;
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175 if (x == 0.0)
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176 return -Py_HUGE_VAL; /* log10(0) = -inf */
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177 else
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178 return Py_NAN; /* log10(-ve) = nan */
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179 }
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180 else if (Py_IS_NAN(x))
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181 return x; /* log10(nan) = nan */
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182 else if (x > 0.0)
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183 return x; /* log10(inf) = inf */
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184 else {
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185 errno = EDOM;
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186 return Py_NAN; /* log10(-inf) = nan */
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187 }
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188 }
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189
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190
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191 /*
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192 math_1 is used to wrap a libm function f that takes a double
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193 arguments and returns a double.
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194
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195 The error reporting follows these rules, which are designed to do
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196 the right thing on C89/C99 platforms and IEEE 754/non IEEE 754
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197 platforms.
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198
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199 - a NaN result from non-NaN inputs causes ValueError to be raised
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200 - an infinite result from finite inputs causes OverflowError to be
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201 raised if can_overflow is 1, or raises ValueError if can_overflow
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202 is 0.
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203 - if the result is finite and errno == EDOM then ValueError is
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204 raised
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205 - if the result is finite and nonzero and errno == ERANGE then
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206 OverflowError is raised
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207
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208 The last rule is used to catch overflow on platforms which follow
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209 C89 but for which HUGE_VAL is not an infinity.
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210
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211 For the majority of one-argument functions these rules are enough
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212 to ensure that Python's functions behave as specified in 'Annex F'
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213 of the C99 standard, with the 'invalid' and 'divide-by-zero'
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214 floating-point exceptions mapping to Python's ValueError and the
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215 'overflow' floating-point exception mapping to OverflowError.
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216 math_1 only works for functions that don't have singularities *and*
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217 the possibility of overflow; fortunately, that covers everything we
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218 care about right now.
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219 */
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220
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221 static PyObject *
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222 math_1_to_whatever(PyObject *arg, double (*func) (double),
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223 PyObject *(*from_double_func) (double),
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224 int can_overflow)
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225 {
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226 double x, r;
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227 x = PyFloat_AsDouble(arg);
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228 if (x == -1.0 && PyErr_Occurred())
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229 return NULL;
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230 errno = 0;
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231 PyFPE_START_PROTECT("in math_1", return 0);
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232 r = (*func)(x);
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233 PyFPE_END_PROTECT(r);
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234 if (Py_IS_NAN(r) && !Py_IS_NAN(x)) {
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235 PyErr_SetString(PyExc_ValueError,
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236 "math domain error"); /* invalid arg */
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237 return NULL;
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238 }
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239 if (Py_IS_INFINITY(r) && Py_IS_FINITE(x)) {
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240 if (can_overflow)
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241 PyErr_SetString(PyExc_OverflowError,
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242 "math range error"); /* overflow */
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243 else
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244 PyErr_SetString(PyExc_ValueError,
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245 "math domain error"); /* singularity */
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246 return NULL;
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247 }
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248 if (Py_IS_FINITE(r) && errno && is_error(r))
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249 /* this branch unnecessary on most platforms */
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250 return NULL;
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251
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252 return (*from_double_func)(r);
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253 }
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254
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255 /*
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256 math_2 is used to wrap a libm function f that takes two double
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257 arguments and returns a double.
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258
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259 The error reporting follows these rules, which are designed to do
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260 the right thing on C89/C99 platforms and IEEE 754/non IEEE 754
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261 platforms.
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262
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263 - a NaN result from non-NaN inputs causes ValueError to be raised
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264 - an infinite result from finite inputs causes OverflowError to be
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265 raised.
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266 - if the result is finite and errno == EDOM then ValueError is
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267 raised
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268 - if the result is finite and nonzero and errno == ERANGE then
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269 OverflowError is raised
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270
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271 The last rule is used to catch overflow on platforms which follow
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272 C89 but for which HUGE_VAL is not an infinity.
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273
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274 For most two-argument functions (copysign, fmod, hypot, atan2)
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275 these rules are enough to ensure that Python's functions behave as
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276 specified in 'Annex F' of the C99 standard, with the 'invalid' and
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277 'divide-by-zero' floating-point exceptions mapping to Python's
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278 ValueError and the 'overflow' floating-point exception mapping to
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279 OverflowError.
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280 */
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281
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282 static PyObject *
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283 math_1(PyObject *arg, double (*func) (double), int can_overflow)
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284 {
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285 return math_1_to_whatever(arg, func, PyFloat_FromDouble, can_overflow);
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286 }
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287
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288 static PyObject *
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289 math_1_to_int(PyObject *arg, double (*func) (double), int can_overflow)
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290 {
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291 return math_1_to_whatever(arg, func, PyLong_FromDouble, can_overflow);
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292 }
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293
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294 static PyObject *
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295 math_2(PyObject *args, double (*func) (double, double), char *funcname)
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296 {
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297 PyObject *ox, *oy;
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298 double x, y, r;
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299 if (! PyArg_UnpackTuple(args, funcname, 2, 2, &ox, &oy))
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300 return NULL;
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301 x = PyFloat_AsDouble(ox);
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302 y = PyFloat_AsDouble(oy);
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303 if ((x == -1.0 || y == -1.0) && PyErr_Occurred())
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304 return NULL;
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305 errno = 0;
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306 PyFPE_START_PROTECT("in math_2", return 0);
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307 r = (*func)(x, y);
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308 PyFPE_END_PROTECT(r);
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309 if (Py_IS_NAN(r)) {
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310 if (!Py_IS_NAN(x) && !Py_IS_NAN(y))
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311 errno = EDOM;
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312 else
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313 errno = 0;
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314 }
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315 else if (Py_IS_INFINITY(r)) {
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316 if (Py_IS_FINITE(x) && Py_IS_FINITE(y))
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317 errno = ERANGE;
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318 else
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319 errno = 0;
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320 }
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321 if (errno && is_error(r))
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322 return NULL;
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323 else
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324 return PyFloat_FromDouble(r);
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325 }
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326
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327 #define FUNC1(funcname, func, can_overflow, docstring) \
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328 static PyObject * math_##funcname(PyObject *self, PyObject *args) { \
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329 return math_1(args, func, can_overflow); \
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330 }\
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331 PyDoc_STRVAR(math_##funcname##_doc, docstring);
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332
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333 #define FUNC2(funcname, func, docstring) \
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334 static PyObject * math_##funcname(PyObject *self, PyObject *args) { \
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335 return math_2(args, func, #funcname); \
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336 }\
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337 PyDoc_STRVAR(math_##funcname##_doc, docstring);
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338
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339 FUNC1(acos, acos, 0,
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340 "acos(x)\n\nReturn the arc cosine (measured in radians) of x.")
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341 FUNC1(acosh, acosh, 0,
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342 "acosh(x)\n\nReturn the hyperbolic arc cosine (measured in radians) of x.")
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343 FUNC1(asin, asin, 0,
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344 "asin(x)\n\nReturn the arc sine (measured in radians) of x.")
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345 FUNC1(asinh, asinh, 0,
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346 "asinh(x)\n\nReturn the hyperbolic arc sine (measured in radians) of x.")
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347 FUNC1(atan, atan, 0,
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348 "atan(x)\n\nReturn the arc tangent (measured in radians) of x.")
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349 FUNC2(atan2, m_atan2,
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350 "atan2(y, x)\n\nReturn the arc tangent (measured in radians) of y/x.\n"
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351 "Unlike atan(y/x), the signs of both x and y are considered.")
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352 FUNC1(atanh, atanh, 0,
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353 "atanh(x)\n\nReturn the hyperbolic arc tangent (measured in radians) of x.")
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354
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355 static PyObject * math_ceil(PyObject *self, PyObject *number) {
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356 static PyObject *ceil_str = NULL;
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357 PyObject *method;
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358
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359 if (ceil_str == NULL) {
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360 ceil_str = PyUnicode_InternFromString("__ceil__");
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361 if (ceil_str == NULL)
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362 return NULL;
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363 }
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364
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365 method = _PyType_Lookup(Py_TYPE(number), ceil_str);
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366 if (method == NULL)
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367 return math_1_to_int(number, ceil, 0);
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368 else
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369 return PyObject_CallFunction(method, "O", number);
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370 }
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371
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372 PyDoc_STRVAR(math_ceil_doc,
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373 "ceil(x)\n\nReturn the ceiling of x as an int.\n"
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374 "This is the smallest integral value >= x.");
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375
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376 FUNC2(copysign, copysign,
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377 "copysign(x, y)\n\nReturn x with the sign of y.")
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378 FUNC1(cos, cos, 0,
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379 "cos(x)\n\nReturn the cosine of x (measured in radians).")
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380 FUNC1(cosh, cosh, 1,
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381 "cosh(x)\n\nReturn the hyperbolic cosine of x.")
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382 FUNC1(exp, exp, 1,
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383 "exp(x)\n\nReturn e raised to the power of x.")
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384 FUNC1(fabs, fabs, 0,
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385 "fabs(x)\n\nReturn the absolute value of the float x.")
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386
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387 static PyObject * math_floor(PyObject *self, PyObject *number) {
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388 static PyObject *floor_str = NULL;
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389 PyObject *method;
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390
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391 if (floor_str == NULL) {
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392 floor_str = PyUnicode_InternFromString("__floor__");
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393 if (floor_str == NULL)
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394 return NULL;
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395 }
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396
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397 method = _PyType_Lookup(Py_TYPE(number), floor_str);
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398 if (method == NULL)
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399 return math_1_to_int(number, floor, 0);
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400 else
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401 return PyObject_CallFunction(method, "O", number);
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402 }
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403
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404 PyDoc_STRVAR(math_floor_doc,
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405 "floor(x)\n\nReturn the floor of x as an int.\n"
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406 "This is the largest integral value <= x.");
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407
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408 FUNC1(log1p, log1p, 1,
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409 "log1p(x)\n\nReturn the natural logarithm of 1+x (base e).\n"
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410 "The result is computed in a way which is accurate for x near zero.")
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411 FUNC1(sin, sin, 0,
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412 "sin(x)\n\nReturn the sine of x (measured in radians).")
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413 FUNC1(sinh, sinh, 1,
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414 "sinh(x)\n\nReturn the hyperbolic sine of x.")
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415 FUNC1(sqrt, sqrt, 0,
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416 "sqrt(x)\n\nReturn the square root of x.")
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417 FUNC1(tan, tan, 0,
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418 "tan(x)\n\nReturn the tangent of x (measured in radians).")
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419 FUNC1(tanh, tanh, 0,
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420 "tanh(x)\n\nReturn the hyperbolic tangent of x.")
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421
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422 /* Precision summation function as msum() by Raymond Hettinger in
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423 <http://aspn.activestate.com/ASPN/Cookbook/Python/Recipe/393090>,
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424 enhanced with the exact partials sum and roundoff from Mark
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425 Dickinson's post at <http://bugs.python.org/file10357/msum4.py>.
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426 See those links for more details, proofs and other references.
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427
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428 Note 1: IEEE 754R floating point semantics are assumed,
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429 but the current implementation does not re-establish special
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430 value semantics across iterations (i.e. handling -Inf + Inf).
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431
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432 Note 2: No provision is made for intermediate overflow handling;
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433 therefore, sum([1e+308, 1e-308, 1e+308]) returns 1e+308 while
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434 sum([1e+308, 1e+308, 1e-308]) raises an OverflowError due to the
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435 overflow of the first partial sum.
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436
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437 Note 3: The intermediate values lo, yr, and hi are declared volatile so
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438 aggressive compilers won't algebraically reduce lo to always be exactly 0.0.
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439 Also, the volatile declaration forces the values to be stored in memory as
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440 regular doubles instead of extended long precision (80-bit) values. This
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441 prevents double rounding because any addition or subtraction of two doubles
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442 can be resolved exactly into double-sized hi and lo values. As long as the
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443 hi value gets forced into a double before yr and lo are computed, the extra
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444 bits in downstream extended precision operations (x87 for example) will be
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445 exactly zero and therefore can be losslessly stored back into a double,
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446 thereby preventing double rounding.
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447
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448 Note 4: A similar implementation is in Modules/cmathmodule.c.
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449 Be sure to update both when making changes.
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450
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451 Note 5: The signature of math.fsum() differs from __builtin__.sum()
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452 because the start argument doesn't make sense in the context of
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453 accurate summation. Since the partials table is collapsed before
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454 returning a result, sum(seq2, start=sum(seq1)) may not equal the
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455 accurate result returned by sum(itertools.chain(seq1, seq2)).
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456 */
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457
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458 #define NUM_PARTIALS 32 /* initial partials array size, on stack */
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459
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460 /* Extend the partials array p[] by doubling its size. */
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461 static int /* non-zero on error */
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462 _fsum_realloc(double **p_ptr, Py_ssize_t n,
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463 double *ps, Py_ssize_t *m_ptr)
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464 {
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465 void *v = NULL;
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466 Py_ssize_t m = *m_ptr;
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467
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468 m += m; /* double */
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469 if (n < m && m < (PY_SSIZE_T_MAX / sizeof(double))) {
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470 double *p = *p_ptr;
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471 if (p == ps) {
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472 v = PyMem_Malloc(sizeof(double) * m);
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473 if (v != NULL)
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474 memcpy(v, ps, sizeof(double) * n);
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475 }
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476 else
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477 v = PyMem_Realloc(p, sizeof(double) * m);
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478 }
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479 if (v == NULL) { /* size overflow or no memory */
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480 PyErr_SetString(PyExc_MemoryError, "math.fsum partials");
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481 return 1;
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482 }
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483 *p_ptr = (double*) v;
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484 *m_ptr = m;
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485 return 0;
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486 }
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487
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488 /* Full precision summation of a sequence of floats.
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489
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490 def msum(iterable):
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491 partials = [] # sorted, non-overlapping partial sums
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492 for x in iterable:
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493 i = 0
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494 for y in partials:
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495 if abs(x) < abs(y):
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496 x, y = y, x
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497 hi = x + y
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498 lo = y - (hi - x)
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499 if lo:
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500 partials[i] = lo
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501 i += 1
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502 x = hi
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503 partials[i:] = [x]
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504 return sum_exact(partials)
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505
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506 Rounded x+y stored in hi with the roundoff stored in lo. Together hi+lo
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507 are exactly equal to x+y. The inner loop applies hi/lo summation to each
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508 partial so that the list of partial sums remains exact.
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509
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510 Sum_exact() adds the partial sums exactly and correctly rounds the final
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511 result (using the round-half-to-even rule). The items in partials remain
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512 non-zero, non-special, non-overlapping and strictly increasing in
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513 magnitude, but possibly not all having the same sign.
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514
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515 Depends on IEEE 754 arithmetic guarantees and half-even rounding.
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516 */
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517
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518 static PyObject*
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519 math_fsum(PyObject *self, PyObject *seq)
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520 {
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521 PyObject *item, *iter, *sum = NULL;
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522 Py_ssize_t i, j, n = 0, m = NUM_PARTIALS;
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523 double x, y, t, ps[NUM_PARTIALS], *p = ps;
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524 double xsave, special_sum = 0.0, inf_sum = 0.0;
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525 volatile double hi, yr, lo;
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526
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527 iter = PyObject_GetIter(seq);
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528 if (iter == NULL)
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529 return NULL;
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530
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531 PyFPE_START_PROTECT("fsum", Py_DECREF(iter); return NULL)
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532
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533 for(;;) { /* for x in iterable */
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534 assert(0 <= n && n <= m);
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535 assert((m == NUM_PARTIALS && p == ps) ||
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536 (m > NUM_PARTIALS && p != NULL));
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537
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538 item = PyIter_Next(iter);
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539 if (item == NULL) {
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540 if (PyErr_Occurred())
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541 goto _fsum_error;
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542 break;
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543 }
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544 x = PyFloat_AsDouble(item);
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545 Py_DECREF(item);
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546 if (PyErr_Occurred())
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547 goto _fsum_error;
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548
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549 xsave = x;
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550 for (i = j = 0; j < n; j++) { /* for y in partials */
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551 y = p[j];
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552 if (fabs(x) < fabs(y)) {
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553 t = x; x = y; y = t;
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554 }
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555 hi = x + y;
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556 yr = hi - x;
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557 lo = y - yr;
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558 if (lo != 0.0)
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559 p[i++] = lo;
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560 x = hi;
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561 }
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562
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563 n = i; /* ps[i:] = [x] */
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564 if (x != 0.0) {
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565 if (! Py_IS_FINITE(x)) {
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566 /* a nonfinite x could arise either as
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567 a result of intermediate overflow, or
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568 as a result of a nan or inf in the
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569 summands */
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570 if (Py_IS_FINITE(xsave)) {
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571 PyErr_SetString(PyExc_OverflowError,
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572 "intermediate overflow in fsum");
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573 goto _fsum_error;
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574 }
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575 if (Py_IS_INFINITY(xsave))
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576 inf_sum += xsave;
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577 special_sum += xsave;
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578 /* reset partials */
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579 n = 0;
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580 }
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581 else if (n >= m && _fsum_realloc(&p, n, ps, &m))
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582 goto _fsum_error;
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583 else
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584 p[n++] = x;
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585 }
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586 }
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587
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588 if (special_sum != 0.0) {
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589 if (Py_IS_NAN(inf_sum))
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590 PyErr_SetString(PyExc_ValueError,
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591 "-inf + inf in fsum");
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592 else
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593 sum = PyFloat_FromDouble(special_sum);
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594 goto _fsum_error;
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595 }
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596
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597 hi = 0.0;
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598 if (n > 0) {
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599 hi = p[--n];
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600 /* sum_exact(ps, hi) from the top, stop when the sum becomes
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601 inexact. */
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602 while (n > 0) {
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603 x = hi;
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604 y = p[--n];
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605 assert(fabs(y) < fabs(x));
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606 hi = x + y;
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607 yr = hi - x;
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608 lo = y - yr;
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609 if (lo != 0.0)
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610 break;
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611 }
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612 /* Make half-even rounding work across multiple partials.
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613 Needed so that sum([1e-16, 1, 1e16]) will round-up the last
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614 digit to two instead of down to zero (the 1e-16 makes the 1
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615 slightly closer to two). With a potential 1 ULP rounding
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616 error fixed-up, math.fsum() can guarantee commutativity. */
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617 if (n > 0 && ((lo < 0.0 && p[n-1] < 0.0) ||
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618 (lo > 0.0 && p[n-1] > 0.0))) {
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619 y = lo * 2.0;
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620 x = hi + y;
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621 yr = x - hi;
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622 if (y == yr)
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623 hi = x;
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624 }
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625 }
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626 sum = PyFloat_FromDouble(hi);
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627
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628 _fsum_error:
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629 PyFPE_END_PROTECT(hi)
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630 Py_DECREF(iter);
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631 if (p != ps)
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632 PyMem_Free(p);
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633 return sum;
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634 }
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635
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636 #undef NUM_PARTIALS
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637
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638 PyDoc_STRVAR(math_fsum_doc,
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639 "fsum(iterable)\n\n\
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640 Return an accurate floating point sum of values in the iterable.\n\
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641 Assumes IEEE-754 floating point arithmetic.");
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642
4635
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643 static PyObject *
47562
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644 math_factorial(PyObject *self, PyObject *arg)
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645 {
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646 long i, x;
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647 PyObject *result, *iobj, *newresult;
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648
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649 if (PyFloat_Check(arg)) {
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650 double dx = PyFloat_AS_DOUBLE((PyFloatObject *)arg);
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651 if (dx != floor(dx)) {
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652 PyErr_SetString(PyExc_ValueError,
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653 "factorial() only accepts integral values");
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654 return NULL;
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655 }
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656 }
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657
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658 x = PyLong_AsLong(arg);
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659 if (x == -1 && PyErr_Occurred())
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660 return NULL;
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661 if (x < 0) {
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662 PyErr_SetString(PyExc_ValueError,
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663 "factorial() not defined for negative values");
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664 return NULL;
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665 }
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666
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667 result = (PyObject *)PyLong_FromLong(1);
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668 if (result == NULL)
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669 return NULL;
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670 for (i=1 ; i<=x ; i++) {
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671 iobj = (PyObject *)PyLong_FromLong(i);
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672 if (iobj == NULL)
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673 goto error;
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674 newresult = PyNumber_Multiply(result, iobj);
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675 Py_DECREF(iobj);
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676 if (newresult == NULL)
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677 goto error;
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678 Py_DECREF(result);
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679 result = newresult;
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680 }
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681 return result;
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682
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683 error:
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684 Py_DECREF(result);
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685 return NULL;
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686 }
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diff changeset
687
50250
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diff changeset
688 PyDoc_STRVAR(math_factorial_doc,
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Benjamin Peterson <benjamin@python.org>
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diff changeset
689 "factorial(x) -> Integral\n"
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diff changeset
690 "\n"
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diff changeset
691 "Find x!. Raise a ValueError if x is negative or non-integral.");
47562
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diff changeset
692
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diff changeset
693 static PyObject *
45082
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694 math_trunc(PyObject *self, PyObject *number)
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diff changeset
695 {
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diff changeset
696 static PyObject *trunc_str = NULL;
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697 PyObject *trunc;
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698
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699 if (Py_TYPE(number)->tp_dict == NULL) {
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700 if (PyType_Ready(Py_TYPE(number)) < 0)
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diff changeset
701 return NULL;
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702 }
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diff changeset
703
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diff changeset
704 if (trunc_str == NULL) {
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parents: 45029
diff changeset
705 trunc_str = PyUnicode_InternFromString("__trunc__");
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parents: 45029
diff changeset
706 if (trunc_str == NULL)
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diff changeset
707 return NULL;
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parents: 45029
diff changeset
708 }
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diff changeset
709
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diff changeset
710 trunc = _PyType_Lookup(Py_TYPE(number), trunc_str);
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diff changeset
711 if (trunc == NULL) {
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diff changeset
712 PyErr_Format(PyExc_TypeError,
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713 "type %.100s doesn't define __trunc__ method",
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Christian Heimes <christian@cheimes.de>
parents: 45029
diff changeset
714 Py_TYPE(number)->tp_name);
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715 return NULL;
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diff changeset
716 }
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717 return PyObject_CallFunctionObjArgs(trunc, number, NULL);
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718 }
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719
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720 PyDoc_STRVAR(math_trunc_doc,
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diff changeset
721 "trunc(x:Real) -> Integral\n"
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diff changeset
722 "\n"
45134
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diff changeset
723 "Truncates x to the nearest Integral toward 0. Uses the __trunc__ magic method.");
45082
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724
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diff changeset
725 static PyObject *
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
726 math_frexp(PyObject *self, PyObject *arg)
407
9b3d557665a9 Added frexp, ldexp, modf, fmod.
Guido van Rossum <guido@python.org>
parents: 320
diff changeset
727 {
9b3d557665a9 Added frexp, ldexp, modf, fmod.
Guido van Rossum <guido@python.org>
parents: 320
diff changeset
728 int i;
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
729 double x = PyFloat_AsDouble(arg);
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
730 if (x == -1.0 && PyErr_Occurred())
407
9b3d557665a9 Added frexp, ldexp, modf, fmod.
Guido van Rossum <guido@python.org>
parents: 320
diff changeset
731 return NULL;
46477
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diff changeset
732 /* deal with special cases directly, to sidestep platform
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diff changeset
733 differences */
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diff changeset
734 if (Py_IS_NAN(x) || Py_IS_INFINITY(x) || !x) {
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diff changeset
735 i = 0;
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diff changeset
736 }
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737 else {
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diff changeset
738 PyFPE_START_PROTECT("in math_frexp", return 0);
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diff changeset
739 x = frexp(x, &i);
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parents: 45134
diff changeset
740 PyFPE_END_PROTECT(x);
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diff changeset
741 }
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diff changeset
742 return Py_BuildValue("(di)", x, i);
407
9b3d557665a9 Added frexp, ldexp, modf, fmod.
Guido van Rossum <guido@python.org>
parents: 320
diff changeset
743 }
9b3d557665a9 Added frexp, ldexp, modf, fmod.
Guido van Rossum <guido@python.org>
parents: 320
diff changeset
744
23832
ed1ba37a46b7 Patch #568124: Add doc string macros.
Martin v. Löwis <martin@v.loewis.de>
parents: 23427
diff changeset
745 PyDoc_STRVAR(math_frexp_doc,
19712
b4521436e8f8 Mechanical fiddling to make this easier to work with in my editor.
Tim Peters <tim.peters@gmail.com>
parents: 19048
diff changeset
746 "frexp(x)\n"
b4521436e8f8 Mechanical fiddling to make this easier to work with in my editor.
Tim Peters <tim.peters@gmail.com>
parents: 19048
diff changeset
747 "\n"
b4521436e8f8 Mechanical fiddling to make this easier to work with in my editor.
Tim Peters <tim.peters@gmail.com>
parents: 19048
diff changeset
748 "Return the mantissa and exponent of x, as pair (m, e).\n"
b4521436e8f8 Mechanical fiddling to make this easier to work with in my editor.
Tim Peters <tim.peters@gmail.com>
parents: 19048
diff changeset
749 "m is a float and e is an int, such that x = m * 2.**e.\n"
23832
ed1ba37a46b7 Patch #568124: Add doc string macros.
Martin v. Löwis <martin@v.loewis.de>
parents: 23427
diff changeset
750 "If x is 0, m and e are both 0. Else 0.5 <= abs(m) < 1.0.");
9593
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
Guido van Rossum <guido@python.org>
parents: 9588
diff changeset
751
4635
49745ddb4f69 Renamed
Barry Warsaw <barry@python.org>
parents: 4503
diff changeset
752 static PyObject *
13326
24717405dd89 ANSI-fication, remove Py_PROTO, etc.
Fred Drake <fdrake@acm.org>
parents: 13309
diff changeset
753 math_ldexp(PyObject *self, PyObject *args)
407
9b3d557665a9 Added frexp, ldexp, modf, fmod.
Guido van Rossum <guido@python.org>
parents: 320
diff changeset
754 {
46477
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diff changeset
755 double x, r;
47063
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diff changeset
756 PyObject *oexp;
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diff changeset
757 long exp;
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diff changeset
758 if (! PyArg_ParseTuple(args, "dO:ldexp", &x, &oexp))
407
9b3d557665a9 Added frexp, ldexp, modf, fmod.
Guido van Rossum <guido@python.org>
parents: 320
diff changeset
759 return NULL;
47063
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diff changeset
760
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diff changeset
761 if (PyLong_Check(oexp)) {
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diff changeset
762 /* on overflow, replace exponent with either LONG_MAX
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diff changeset
763 or LONG_MIN, depending on the sign. */
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diff changeset
764 exp = PyLong_AsLong(oexp);
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diff changeset
765 if (exp == -1 && PyErr_Occurred()) {
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diff changeset
766 if (PyErr_ExceptionMatches(PyExc_OverflowError)) {
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diff changeset
767 if (Py_SIZE(oexp) < 0) {
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diff changeset
768 exp = LONG_MIN;
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diff changeset
769 }
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770 else {
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diff changeset
771 exp = LONG_MAX;
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772 }
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diff changeset
773 PyErr_Clear();
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774 }
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775 else {
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diff changeset
776 /* propagate any unexpected exception */
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diff changeset
777 return NULL;
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diff changeset
778 }
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diff changeset
779 }
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diff changeset
780 }
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781 else {
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diff changeset
782 PyErr_SetString(PyExc_TypeError,
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diff changeset
783 "Expected an int or long as second argument "
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diff changeset
784 "to ldexp.");
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diff changeset
785 return NULL;
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diff changeset
786 }
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diff changeset
787
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diff changeset
788 if (x == 0. || !Py_IS_FINITE(x)) {
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diff changeset
789 /* NaNs, zeros and infinities are returned unchanged */
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diff changeset
790 r = x;
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parents: 46791
diff changeset
791 errno = 0;
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diff changeset
792 } else if (exp > INT_MAX) {
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parents: 46791
diff changeset
793 /* overflow */
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diff changeset
794 r = copysign(Py_HUGE_VAL, x);
46477
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
795 errno = ERANGE;
47063
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parents: 46791
diff changeset
796 } else if (exp < INT_MIN) {
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Alexandre Vassalotti <alexandre@peadrop.com>
parents: 46791
diff changeset
797 /* underflow to +-0 */
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Alexandre Vassalotti <alexandre@peadrop.com>
parents: 46791
diff changeset
798 r = copysign(0., x);
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parents: 46791
diff changeset
799 errno = 0;
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Alexandre Vassalotti <alexandre@peadrop.com>
parents: 46791
diff changeset
800 } else {
46477
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
801 errno = 0;
47063
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Alexandre Vassalotti <alexandre@peadrop.com>
parents: 46791
diff changeset
802 PyFPE_START_PROTECT("in math_ldexp", return 0);
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Alexandre Vassalotti <alexandre@peadrop.com>
parents: 46791
diff changeset
803 r = ldexp(x, (int)exp);
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parents: 46791
diff changeset
804 PyFPE_END_PROTECT(r);
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Alexandre Vassalotti <alexandre@peadrop.com>
parents: 46791
diff changeset
805 if (Py_IS_INFINITY(r))
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Alexandre Vassalotti <alexandre@peadrop.com>
parents: 46791
diff changeset
806 errno = ERANGE;
081c15806e28 Merged revisions 62914-62916,62918-62919,62921-62922,62924-62942,62944-62945,62947-62949 via svnmerge from
Alexandre Vassalotti <alexandre@peadrop.com>
parents: 46791
diff changeset
807 }
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Alexandre Vassalotti <alexandre@peadrop.com>
parents: 46791
diff changeset
808
46477
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
809 if (errno && is_error(r))
15170
09c7ac188ce2 Stop raising OverflowError on underflows reported by libm (errno==ERANGE and
Tim Peters <tim.peters@gmail.com>
parents: 14616
diff changeset
810 return NULL;
47063
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Alexandre Vassalotti <alexandre@peadrop.com>
parents: 46791
diff changeset
811 return PyFloat_FromDouble(r);
407
9b3d557665a9 Added frexp, ldexp, modf, fmod.
Guido van Rossum <guido@python.org>
parents: 320
diff changeset
812 }
9b3d557665a9 Added frexp, ldexp, modf, fmod.
Guido van Rossum <guido@python.org>
parents: 320
diff changeset
813
23832
ed1ba37a46b7 Patch #568124: Add doc string macros.
Martin v. Löwis <martin@v.loewis.de>
parents: 23427
diff changeset
814 PyDoc_STRVAR(math_ldexp_doc,
57210
a0951f11be3d Merged revisions 76235 via svnmerge from
Benjamin Peterson <benjamin@python.org>
parents: 50250
diff changeset
815 "ldexp(x, i)\n\n\
a0951f11be3d Merged revisions 76235 via svnmerge from
Benjamin Peterson <benjamin@python.org>
parents: 50250
diff changeset
816 Return x * (2**i).");
9593
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
Guido van Rossum <guido@python.org>
parents: 9588
diff changeset
817
4635
49745ddb4f69 Renamed
Barry Warsaw <barry@python.org>
parents: 4503
diff changeset
818 static PyObject *
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
819 math_modf(PyObject *self, PyObject *arg)
407
9b3d557665a9 Added frexp, ldexp, modf, fmod.
Guido van Rossum <guido@python.org>
parents: 320
diff changeset
820 {
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
821 double y, x = PyFloat_AsDouble(arg);
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
822 if (x == -1.0 && PyErr_Occurred())
407
9b3d557665a9 Added frexp, ldexp, modf, fmod.
Guido van Rossum <guido@python.org>
parents: 320
diff changeset
823 return NULL;
46505
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
824 /* some platforms don't do the right thing for NaNs and
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
825 infinities, so we take care of special cases directly. */
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
826 if (!Py_IS_FINITE(x)) {
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
827 if (Py_IS_INFINITY(x))
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
828 return Py_BuildValue("(dd)", copysign(0., x), x);
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
829 else if (Py_IS_NAN(x))
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
830 return Py_BuildValue("(dd)", x, x);
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
831 }
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
832
407
9b3d557665a9 Added frexp, ldexp, modf, fmod.
Guido van Rossum <guido@python.org>
parents: 320
diff changeset
833 errno = 0;
46477
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
834 PyFPE_START_PROTECT("in math_modf", return 0);
407
9b3d557665a9 Added frexp, ldexp, modf, fmod.
Guido van Rossum <guido@python.org>
parents: 320
diff changeset
835 x = modf(x, &y);
46477
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
836 PyFPE_END_PROTECT(x);
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
837 return Py_BuildValue("(dd)", x, y);
407
9b3d557665a9 Added frexp, ldexp, modf, fmod.
Guido van Rossum <guido@python.org>
parents: 320
diff changeset
838 }
6
fc6fcd7df4f7 Initial revision
Guido van Rossum <guido@python.org>
parents:
diff changeset
839
23832
ed1ba37a46b7 Patch #568124: Add doc string macros.
Martin v. Löwis <martin@v.loewis.de>
parents: 23427
diff changeset
840 PyDoc_STRVAR(math_modf_doc,
19712
b4521436e8f8 Mechanical fiddling to make this easier to work with in my editor.
Tim Peters <tim.peters@gmail.com>
parents: 19048
diff changeset
841 "modf(x)\n"
b4521436e8f8 Mechanical fiddling to make this easier to work with in my editor.
Tim Peters <tim.peters@gmail.com>
parents: 19048
diff changeset
842 "\n"
b4521436e8f8 Mechanical fiddling to make this easier to work with in my editor.
Tim Peters <tim.peters@gmail.com>
parents: 19048
diff changeset
843 "Return the fractional and integer parts of x. Both results carry the sign\n"
50250
1adfabcbe073 Merged revisions 67886-67887 via svnmerge from
Benjamin Peterson <benjamin@python.org>
parents: 50123
diff changeset
844 "of x and are floats.");
9593
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
Guido van Rossum <guido@python.org>
parents: 9588
diff changeset
845
19713
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
846 /* A decent logarithm is easy to compute even for huge longs, but libm can't
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
847 do that by itself -- loghelper can. func is log or log10, and name is
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
848 "log" or "log10". Note that overflow isn't possible: a long can contain
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
849 no more than INT_MAX * SHIFT bits, so has value certainly less than
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
850 2**(2**64 * 2**16) == 2**2**80, and log2 of that is 2**80, which is
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
851 small enough to fit in an IEEE single. log and log10 are even smaller.
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
852 */
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
853
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
854 static PyObject*
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
855 loghelper(PyObject* arg, double (*func)(double), char *funcname)
19713
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
856 {
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
857 /* If it is long, do it ourselves. */
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
858 if (PyLong_Check(arg)) {
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
859 double x;
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
860 int e;
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
861 x = _PyLong_AsScaledDouble(arg, &e);
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
862 if (x <= 0.0) {
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
863 PyErr_SetString(PyExc_ValueError,
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
864 "math domain error");
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
865 return NULL;
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
866 }
44999
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Christian Heimes <christian@cheimes.de>
parents: 44943
diff changeset
867 /* Value is ~= x * 2**(e*PyLong_SHIFT), so the log ~=
7c02182e2979 Merged revisions 60284-60349 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44943
diff changeset
868 log(x) + log(2) * e * PyLong_SHIFT.
7c02182e2979 Merged revisions 60284-60349 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44943
diff changeset
869 CAUTION: e*PyLong_SHIFT may overflow using int arithmetic,
19713
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
870 so force use of double. */
42334
e70cdce0e8b2 Merged revisions 56467-56482 via svnmerge from
Martin v. Löwis <martin@v.loewis.de>
parents: 40450
diff changeset
871 x = func(x) + (e * (double)PyLong_SHIFT) * func(2.0);
19713
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
872 return PyFloat_FromDouble(x);
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
873 }
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
874
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
875 /* Else let libm handle it by itself. */
46477
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
876 return math_1(arg, func, 0);
19713
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
877 }
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
878
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
879 static PyObject *
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
880 math_log(PyObject *self, PyObject *args)
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
881 {
26661
b12e326b4ea2 Apply SF patch 652930: Add optional base argument to math.log(x[, base]).
Raymond Hettinger <python@rcn.com>
parents: 24471
diff changeset
882 PyObject *arg;
b12e326b4ea2 Apply SF patch 652930: Add optional base argument to math.log(x[, base]).
Raymond Hettinger <python@rcn.com>
parents: 24471
diff changeset
883 PyObject *base = NULL;
b12e326b4ea2 Apply SF patch 652930: Add optional base argument to math.log(x[, base]).
Raymond Hettinger <python@rcn.com>
parents: 24471
diff changeset
884 PyObject *num, *den;
b12e326b4ea2 Apply SF patch 652930: Add optional base argument to math.log(x[, base]).
Raymond Hettinger <python@rcn.com>
parents: 24471
diff changeset
885 PyObject *ans;
b12e326b4ea2 Apply SF patch 652930: Add optional base argument to math.log(x[, base]).
Raymond Hettinger <python@rcn.com>
parents: 24471
diff changeset
886
26818
e094a03a80ff SF patch #659536: Use PyArg_UnpackTuple where possible.
Raymond Hettinger <python@rcn.com>
parents: 26661
diff changeset
887 if (!PyArg_UnpackTuple(args, "log", 1, 2, &arg, &base))
26661
b12e326b4ea2 Apply SF patch 652930: Add optional base argument to math.log(x[, base]).
Raymond Hettinger <python@rcn.com>
parents: 24471
diff changeset
888 return NULL;
b12e326b4ea2 Apply SF patch 652930: Add optional base argument to math.log(x[, base]).
Raymond Hettinger <python@rcn.com>
parents: 24471
diff changeset
889
50123
20a84e063052 Merged revisions 67708 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 48606
diff changeset
890 num = loghelper(arg, m_log, "log");
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
891 if (num == NULL || base == NULL)
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
892 return num;
26661
b12e326b4ea2 Apply SF patch 652930: Add optional base argument to math.log(x[, base]).
Raymond Hettinger <python@rcn.com>
parents: 24471
diff changeset
893
50123
20a84e063052 Merged revisions 67708 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 48606
diff changeset
894 den = loghelper(base, m_log, "log");
26661
b12e326b4ea2 Apply SF patch 652930: Add optional base argument to math.log(x[, base]).
Raymond Hettinger <python@rcn.com>
parents: 24471
diff changeset
895 if (den == NULL) {
b12e326b4ea2 Apply SF patch 652930: Add optional base argument to math.log(x[, base]).
Raymond Hettinger <python@rcn.com>
parents: 24471
diff changeset
896 Py_DECREF(num);
b12e326b4ea2 Apply SF patch 652930: Add optional base argument to math.log(x[, base]).
Raymond Hettinger <python@rcn.com>
parents: 24471
diff changeset
897 return NULL;
b12e326b4ea2 Apply SF patch 652930: Add optional base argument to math.log(x[, base]).
Raymond Hettinger <python@rcn.com>
parents: 24471
diff changeset
898 }
b12e326b4ea2 Apply SF patch 652930: Add optional base argument to math.log(x[, base]).
Raymond Hettinger <python@rcn.com>
parents: 24471
diff changeset
899
37191
4bfe8afe8f65 Get rid of remnants of integer division
Neal Norwitz <nnorwitz@gmail.com>
parents: 36324
diff changeset
900 ans = PyNumber_TrueDivide(num, den);
26661
b12e326b4ea2 Apply SF patch 652930: Add optional base argument to math.log(x[, base]).
Raymond Hettinger <python@rcn.com>
parents: 24471
diff changeset
901 Py_DECREF(num);
b12e326b4ea2 Apply SF patch 652930: Add optional base argument to math.log(x[, base]).
Raymond Hettinger <python@rcn.com>
parents: 24471
diff changeset
902 Py_DECREF(den);
b12e326b4ea2 Apply SF patch 652930: Add optional base argument to math.log(x[, base]).
Raymond Hettinger <python@rcn.com>
parents: 24471
diff changeset
903 return ans;
19713
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
904 }
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
905
23832
ed1ba37a46b7 Patch #568124: Add doc string macros.
Martin v. Löwis <martin@v.loewis.de>
parents: 23427
diff changeset
906 PyDoc_STRVAR(math_log_doc,
57210
a0951f11be3d Merged revisions 76235 via svnmerge from
Benjamin Peterson <benjamin@python.org>
parents: 50250
diff changeset
907 "log(x[, base])\n\n\
a0951f11be3d Merged revisions 76235 via svnmerge from
Benjamin Peterson <benjamin@python.org>
parents: 50250
diff changeset
908 Return the logarithm of x to the given base.\n\
26661
b12e326b4ea2 Apply SF patch 652930: Add optional base argument to math.log(x[, base]).
Raymond Hettinger <python@rcn.com>
parents: 24471
diff changeset
909 If the base not specified, returns the natural logarithm (base e) of x.");
19713
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
910
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
911 static PyObject *
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
912 math_log10(PyObject *self, PyObject *arg)
19713
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
913 {
50123
20a84e063052 Merged revisions 67708 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 48606
diff changeset
914 return loghelper(arg, m_log10, "log10");
19713
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
915 }
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
916
23832
ed1ba37a46b7 Patch #568124: Add doc string macros.
Martin v. Löwis <martin@v.loewis.de>
parents: 23427
diff changeset
917 PyDoc_STRVAR(math_log10_doc,
57210
a0951f11be3d Merged revisions 76235 via svnmerge from
Benjamin Peterson <benjamin@python.org>
parents: 50250
diff changeset
918 "log10(x)\n\nReturn the base 10 logarithm of x.");
19713
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
919
46477
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
920 static PyObject *
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
921 math_fmod(PyObject *self, PyObject *args)
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
922 {
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parents: 45134
diff changeset
923 PyObject *ox, *oy;
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
924 double r, x, y;
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
925 if (! PyArg_UnpackTuple(args, "fmod", 2, 2, &ox, &oy))
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
926 return NULL;
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
927 x = PyFloat_AsDouble(ox);
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
928 y = PyFloat_AsDouble(oy);
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
929 if ((x == -1.0 || y == -1.0) && PyErr_Occurred())
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
930 return NULL;
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
931 /* fmod(x, +/-Inf) returns x for finite x. */
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
932 if (Py_IS_INFINITY(y) && Py_IS_FINITE(x))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
933 return PyFloat_FromDouble(x);
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
934 errno = 0;
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
935 PyFPE_START_PROTECT("in math_fmod", return 0);
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
936 r = fmod(x, y);
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
937 PyFPE_END_PROTECT(r);
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
938 if (Py_IS_NAN(r)) {
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
939 if (!Py_IS_NAN(x) && !Py_IS_NAN(y))
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
940 errno = EDOM;
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parents: 45134
diff changeset
941 else
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
942 errno = 0;
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parents: 45134
diff changeset
943 }
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parents: 45134
diff changeset
944 if (errno && is_error(r))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
945 return NULL;
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
946 else
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
947 return PyFloat_FromDouble(r);
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
948 }
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
949
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
950 PyDoc_STRVAR(math_fmod_doc,
57210
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Benjamin Peterson <benjamin@python.org>
parents: 50250
diff changeset
951 "fmod(x, y)\n\nReturn fmod(x, y), according to platform C."
46477
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
952 " x % y may differ.");
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
953
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
954 static PyObject *
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parents: 45134
diff changeset
955 math_hypot(PyObject *self, PyObject *args)
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
956 {
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
957 PyObject *ox, *oy;
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
958 double r, x, y;
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
959 if (! PyArg_UnpackTuple(args, "hypot", 2, 2, &ox, &oy))
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
960 return NULL;
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parents: 45134
diff changeset
961 x = PyFloat_AsDouble(ox);
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
962 y = PyFloat_AsDouble(oy);
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parents: 45134
diff changeset
963 if ((x == -1.0 || y == -1.0) && PyErr_Occurred())
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
964 return NULL;
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
965 /* hypot(x, +/-Inf) returns Inf, even if x is a NaN. */
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
966 if (Py_IS_INFINITY(x))
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
967 return PyFloat_FromDouble(fabs(x));
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
968 if (Py_IS_INFINITY(y))
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
969 return PyFloat_FromDouble(fabs(y));
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
970 errno = 0;
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parents: 45134
diff changeset
971 PyFPE_START_PROTECT("in math_hypot", return 0);
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
972 r = hypot(x, y);
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
973 PyFPE_END_PROTECT(r);
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
974 if (Py_IS_NAN(r)) {
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
975 if (!Py_IS_NAN(x) && !Py_IS_NAN(y))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
976 errno = EDOM;
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
977 else
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
978 errno = 0;
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
979 }
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
980 else if (Py_IS_INFINITY(r)) {
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
981 if (Py_IS_FINITE(x) && Py_IS_FINITE(y))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
982 errno = ERANGE;
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
983 else
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
984 errno = 0;
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
985 }
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parents: 45134
diff changeset
986 if (errno && is_error(r))
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
987 return NULL;
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
988 else
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parents: 45134
diff changeset
989 return PyFloat_FromDouble(r);
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
990 }
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diff changeset
991
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diff changeset
992 PyDoc_STRVAR(math_hypot_doc,
57210
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diff changeset
993 "hypot(x, y)\n\nReturn the Euclidean distance, sqrt(x*x + y*y).");
46477
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diff changeset
994
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parents: 45134
diff changeset
995 /* pow can't use math_2, but needs its own wrapper: the problem is
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
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parents: 45134
diff changeset
996 that an infinite result can arise either as a result of overflow
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parents: 45134
diff changeset
997 (in which case OverflowError should be raised) or as a result of
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parents: 45134
diff changeset
998 e.g. 0.**-5. (for which ValueError needs to be raised.)
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parents: 45134
diff changeset
999 */
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diff changeset
1000
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parents: 45134
diff changeset
1001 static PyObject *
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diff changeset
1002 math_pow(PyObject *self, PyObject *args)
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parents: 45134
diff changeset
1003 {
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diff changeset
1004 PyObject *ox, *oy;
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diff changeset
1005 double r, x, y;
46505
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1006 int odd_y;
46477
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diff changeset
1007
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diff changeset
1008 if (! PyArg_UnpackTuple(args, "pow", 2, 2, &ox, &oy))
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diff changeset
1009 return NULL;
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diff changeset
1010 x = PyFloat_AsDouble(ox);
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diff changeset
1011 y = PyFloat_AsDouble(oy);
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diff changeset
1012 if ((x == -1.0 || y == -1.0) && PyErr_Occurred())
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diff changeset
1013 return NULL;
46505
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1014
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diff changeset
1015 /* deal directly with IEEE specials, to cope with problems on various
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diff changeset
1016 platforms whose semantics don't exactly match C99 */
46664
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1017 r = 0.; /* silence compiler warning */
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1018 if (!Py_IS_FINITE(x) || !Py_IS_FINITE(y)) {
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1019 errno = 0;
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1020 if (Py_IS_NAN(x))
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1021 r = y == 0. ? 1. : x; /* NaN**0 = 1 */
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1022 else if (Py_IS_NAN(y))
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1023 r = x == 1. ? 1. : y; /* 1**NaN = 1 */
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1024 else if (Py_IS_INFINITY(x)) {
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1025 odd_y = Py_IS_FINITE(y) && fmod(fabs(y), 2.0) == 1.0;
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1026 if (y > 0.)
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1027 r = odd_y ? x : fabs(x);
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1028 else if (y == 0.)
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1029 r = 1.;
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1030 else /* y < 0. */
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1031 r = odd_y ? copysign(0., x) : 0.;
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1032 }
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1033 else if (Py_IS_INFINITY(y)) {
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1034 if (fabs(x) == 1.0)
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diff changeset
1035 r = 1.;
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1036 else if (y > 0. && fabs(x) > 1.0)
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diff changeset
1037 r = y;
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1038 else if (y < 0. && fabs(x) < 1.0) {
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diff changeset
1039 r = -y; /* result is +inf */
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diff changeset
1040 if (x == 0.) /* 0**-inf: divide-by-zero */
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diff changeset
1041 errno = EDOM;
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1042 }
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1043 else
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1044 r = 0.;
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1045 }
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1046 }
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1047 else {
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diff changeset
1048 /* let libm handle finite**finite */
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diff changeset
1049 errno = 0;
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diff changeset
1050 PyFPE_START_PROTECT("in math_pow", return 0);
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diff changeset
1051 r = pow(x, y);
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diff changeset
1052 PyFPE_END_PROTECT(r);
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diff changeset
1053 /* a NaN result should arise only from (-ve)**(finite
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diff changeset
1054 non-integer); in this case we want to raise ValueError. */
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1055 if (!Py_IS_FINITE(r)) {
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1056 if (Py_IS_NAN(r)) {
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diff changeset
1057 errno = EDOM;
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1058 }
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diff changeset
1059 /*
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diff changeset
1060 an infinite result here arises either from:
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diff changeset
1061 (A) (+/-0.)**negative (-> divide-by-zero)
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diff changeset
1062 (B) overflow of x**y with x and y finite
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1063 */
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1064 else if (Py_IS_INFINITY(r)) {
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diff changeset
1065 if (x == 0.)
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diff changeset
1066 errno = EDOM;
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diff changeset
1067 else
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diff changeset
1068 errno = ERANGE;
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1069 }
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1070 }
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1071 }
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1072
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1073 if (errno && is_error(r))
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1074 return NULL;
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1075 else
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1076 return PyFloat_FromDouble(r);
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1077 }
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1078
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1079 PyDoc_STRVAR(math_pow_doc,
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1080 "pow(x, y)\n\nReturn x**y (x to the power of y).");
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1081
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1082 static const double degToRad = Py_MATH_PI / 180.0;
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diff changeset
1083 static const double radToDeg = 180.0 / Py_MATH_PI;
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diff changeset
1084
a4d675b8b53c Added degrees() and radians() to mathmodule. Closes patch 552452 and
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diff changeset
1085 static PyObject *
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1086 math_degrees(PyObject *self, PyObject *arg)
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1087 {
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1088 double x = PyFloat_AsDouble(arg);
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1089 if (x == -1.0 && PyErr_Occurred())
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1090 return NULL;
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1091 return PyFloat_FromDouble(x * radToDeg);
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1092 }
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1093
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diff changeset
1094 PyDoc_STRVAR(math_degrees_doc,
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1095 "degrees(x)\n\n\
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1096 Convert angle x from radians to degrees.");
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diff changeset
1097
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diff changeset
1098 static PyObject *
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1099 math_radians(PyObject *self, PyObject *arg)
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diff changeset
1100 {
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1101 double x = PyFloat_AsDouble(arg);
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1102 if (x == -1.0 && PyErr_Occurred())
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1103 return NULL;
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1104 return PyFloat_FromDouble(x * degToRad);
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parents: 19758
diff changeset
1105 }
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Raymond Hettinger <python@rcn.com>
parents: 19758
diff changeset
1106
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1107 PyDoc_STRVAR(math_radians_doc,
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1108 "radians(x)\n\n\
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1109 Convert angle x from degrees to radians.");
19713
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
1110
44441
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Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1111 static PyObject *
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1112 math_isnan(PyObject *self, PyObject *arg)
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1113 {
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1114 double x = PyFloat_AsDouble(arg);
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1115 if (x == -1.0 && PyErr_Occurred())
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1116 return NULL;
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1117 return PyBool_FromLong((long)Py_IS_NAN(x));
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1118 }
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1119
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1120 PyDoc_STRVAR(math_isnan_doc,
57210
a0951f11be3d Merged revisions 76235 via svnmerge from
Benjamin Peterson <benjamin@python.org>
parents: 50250
diff changeset
1121 "isnan(x) -> bool\n\n\
a0951f11be3d Merged revisions 76235 via svnmerge from
Benjamin Peterson <benjamin@python.org>
parents: 50250
diff changeset
1122 Check if float x is not a number (NaN).");
44441
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Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1123
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1124 static PyObject *
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1125 math_isinf(PyObject *self, PyObject *arg)
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1126 {
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1127 double x = PyFloat_AsDouble(arg);
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1128 if (x == -1.0 && PyErr_Occurred())
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1129 return NULL;
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1130 return PyBool_FromLong((long)Py_IS_INFINITY(x));
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1131 }
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Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1132
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1133 PyDoc_STRVAR(math_isinf_doc,
57210
a0951f11be3d Merged revisions 76235 via svnmerge from
Benjamin Peterson <benjamin@python.org>
parents: 50250
diff changeset
1134 "isinf(x) -> bool\n\n\
a0951f11be3d Merged revisions 76235 via svnmerge from
Benjamin Peterson <benjamin@python.org>
parents: 50250
diff changeset
1135 Check if float x is infinite (positive or negative).");
44441
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1136
4635
49745ddb4f69 Renamed
Barry Warsaw <barry@python.org>
parents: 4503
diff changeset
1137 static PyMethodDef math_methods[] = {
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
1138 {"acos", math_acos, METH_O, math_acos_doc},
46477
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
1139 {"acosh", math_acosh, METH_O, math_acosh_doc},
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
1140 {"asin", math_asin, METH_O, math_asin_doc},
46477
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
1141 {"asinh", math_asinh, METH_O, math_asinh_doc},
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
1142 {"atan", math_atan, METH_O, math_atan_doc},
13326
24717405dd89 ANSI-fication, remove Py_PROTO, etc.
Fred Drake <fdrake@acm.org>
parents: 13309
diff changeset
1143 {"atan2", math_atan2, METH_VARARGS, math_atan2_doc},
46477
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
1144 {"atanh", math_atanh, METH_O, math_atanh_doc},
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
1145 {"ceil", math_ceil, METH_O, math_ceil_doc},
44441
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1146 {"copysign", math_copysign, METH_VARARGS, math_copysign_doc},
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
1147 {"cos", math_cos, METH_O, math_cos_doc},
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
1148 {"cosh", math_cosh, METH_O, math_cosh_doc},
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
1149 {"degrees", math_degrees, METH_O, math_degrees_doc},
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
1150 {"exp", math_exp, METH_O, math_exp_doc},
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
1151 {"fabs", math_fabs, METH_O, math_fabs_doc},
47562
bd584f121c4b Merged revisions 64002-64003,64012,64036-64037,64047,64050-64052,64054-64055,64066,64071 via svnmerge from
Georg Brandl <georg@python.org>
parents: 47559
diff changeset
1152 {"factorial", math_factorial, METH_O, math_factorial_doc},
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
1153 {"floor", math_floor, METH_O, math_floor_doc},
13326
24717405dd89 ANSI-fication, remove Py_PROTO, etc.
Fred Drake <fdrake@acm.org>
parents: 13309
diff changeset
1154 {"fmod", math_fmod, METH_VARARGS, math_fmod_doc},
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
1155 {"frexp", math_frexp, METH_O, math_frexp_doc},
48606
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 48407
diff changeset
1156 {"fsum", math_fsum, METH_O, math_fsum_doc},
13326
24717405dd89 ANSI-fication, remove Py_PROTO, etc.
Fred Drake <fdrake@acm.org>
parents: 13309
diff changeset
1157 {"hypot", math_hypot, METH_VARARGS, math_hypot_doc},
44441
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Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1158 {"isinf", math_isinf, METH_O, math_isinf_doc},
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1159 {"isnan", math_isnan, METH_O, math_isnan_doc},
13326
24717405dd89 ANSI-fication, remove Py_PROTO, etc.
Fred Drake <fdrake@acm.org>
parents: 13309
diff changeset
1160 {"ldexp", math_ldexp, METH_VARARGS, math_ldexp_doc},
24717405dd89 ANSI-fication, remove Py_PROTO, etc.
Fred Drake <fdrake@acm.org>
parents: 13309
diff changeset
1161 {"log", math_log, METH_VARARGS, math_log_doc},
46477
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
1162 {"log1p", math_log1p, METH_O, math_log1p_doc},
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
1163 {"log10", math_log10, METH_O, math_log10_doc},
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
1164 {"modf", math_modf, METH_O, math_modf_doc},
13326
24717405dd89 ANSI-fication, remove Py_PROTO, etc.
Fred Drake <fdrake@acm.org>
parents: 13309
diff changeset
1165 {"pow", math_pow, METH_VARARGS, math_pow_doc},
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
1166 {"radians", math_radians, METH_O, math_radians_doc},
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
1167 {"sin", math_sin, METH_O, math_sin_doc},
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
1168 {"sinh", math_sinh, METH_O, math_sinh_doc},
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
1169 {"sqrt", math_sqrt, METH_O, math_sqrt_doc},
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
1170 {"tan", math_tan, METH_O, math_tan_doc},
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
1171 {"tanh", math_tanh, METH_O, math_tanh_doc},
48606
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 48407
diff changeset
1172 {"trunc", math_trunc, METH_O, math_trunc_doc},
6
fc6fcd7df4f7 Initial revision
Guido van Rossum <guido@python.org>
parents:
diff changeset
1173 {NULL, NULL} /* sentinel */
fc6fcd7df4f7 Initial revision
Guido van Rossum <guido@python.org>
parents:
diff changeset
1174 };
fc6fcd7df4f7 Initial revision
Guido van Rossum <guido@python.org>
parents:
diff changeset
1175
9593
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
Guido van Rossum <guido@python.org>
parents: 9588
diff changeset
1176
23832
ed1ba37a46b7 Patch #568124: Add doc string macros.
Martin v. Löwis <martin@v.loewis.de>
parents: 23427
diff changeset
1177 PyDoc_STRVAR(module_doc,
19712
b4521436e8f8 Mechanical fiddling to make this easier to work with in my editor.
Tim Peters <tim.peters@gmail.com>
parents: 19048
diff changeset
1178 "This module is always available. It provides access to the\n"
23832
ed1ba37a46b7 Patch #568124: Add doc string macros.
Martin v. Löwis <martin@v.loewis.de>
parents: 23427
diff changeset
1179 "mathematical functions defined by the C standard.");
9593
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
Guido van Rossum <guido@python.org>
parents: 9588
diff changeset
1180
47580
94f64f11fdd0 Implement PEP 3121: new module initialization and finalization API.
Martin v. Löwis <martin@v.loewis.de>
parents: 47562
diff changeset
1181
94f64f11fdd0 Implement PEP 3121: new module initialization and finalization API.
Martin v. Löwis <martin@v.loewis.de>
parents: 47562
diff changeset
1182 static struct PyModuleDef mathmodule = {
94f64f11fdd0 Implement PEP 3121: new module initialization and finalization API.
Martin v. Löwis <martin@v.loewis.de>
parents: 47562
diff changeset
1183 PyModuleDef_HEAD_INIT,
94f64f11fdd0 Implement PEP 3121: new module initialization and finalization API.
Martin v. Löwis <martin@v.loewis.de>
parents: 47562
diff changeset
1184 "math",
94f64f11fdd0 Implement PEP 3121: new module initialization and finalization API.
Martin v. Löwis <martin@v.loewis.de>
parents: 47562
diff changeset
1185 module_doc,
94f64f11fdd0 Implement PEP 3121: new module initialization and finalization API.
Martin v. Löwis <martin@v.loewis.de>
parents: 47562
diff changeset
1186 -1,
94f64f11fdd0 Implement PEP 3121: new module initialization and finalization API.
Martin v. Löwis <martin@v.loewis.de>
parents: 47562
diff changeset
1187 math_methods,
94f64f11fdd0 Implement PEP 3121: new module initialization and finalization API.
Martin v. Löwis <martin@v.loewis.de>
parents: 47562
diff changeset
1188 NULL,
94f64f11fdd0 Implement PEP 3121: new module initialization and finalization API.
Martin v. Löwis <martin@v.loewis.de>
parents: 47562
diff changeset
1189 NULL,
94f64f11fdd0 Implement PEP 3121: new module initialization and finalization API.
Martin v. Löwis <martin@v.loewis.de>
parents: 47562
diff changeset
1190 NULL,
94f64f11fdd0 Implement PEP 3121: new module initialization and finalization API.
Martin v. Löwis <martin@v.loewis.de>
parents: 47562
diff changeset
1191 NULL
94f64f11fdd0 Implement PEP 3121: new module initialization and finalization API.
Martin v. Löwis <martin@v.loewis.de>
parents: 47562
diff changeset
1192 };
94f64f11fdd0 Implement PEP 3121: new module initialization and finalization API.
Martin v. Löwis <martin@v.loewis.de>
parents: 47562
diff changeset
1193
24471
f66b3a3509c7 Excise DL_EXPORT/DL_IMPORT from Modules/*. Required adding a prototype
Mark Hammond <mhammond@skippinet.com.au>
parents: 23832
diff changeset
1194 PyMODINIT_FUNC
47580
94f64f11fdd0 Implement PEP 3121: new module initialization and finalization API.
Martin v. Löwis <martin@v.loewis.de>
parents: 47562
diff changeset
1195 PyInit_math(void)
6
fc6fcd7df4f7 Initial revision
Guido van Rossum <guido@python.org>
parents:
diff changeset
1196 {
46477
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
1197 PyObject *m;
19048
e282d6b2b758 Part of SF patch [#431848] mathmodule.c: doc strings & conversion, from
Tim Peters <tim.peters@gmail.com>
parents: 18066
diff changeset
1198
47580
94f64f11fdd0 Implement PEP 3121: new module initialization and finalization API.
Martin v. Löwis <martin@v.loewis.de>
parents: 47562
diff changeset
1199 m = PyModule_Create(&mathmodule);
36324
1af7f719ed28 Check return result from Py_InitModule*(). This API can fail.
Neal Norwitz <nnorwitz@gmail.com>
parents: 34872
diff changeset
1200 if (m == NULL)
1af7f719ed28 Check return result from Py_InitModule*(). This API can fail.
Neal Norwitz <nnorwitz@gmail.com>
parents: 34872
diff changeset
1201 goto finally;
4752
7367fb107108 Better error checking in initmath().
Barry Warsaw <barry@python.org>
parents: 4635
diff changeset
1202
46477
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
1203 PyModule_AddObject(m, "pi", PyFloat_FromDouble(Py_MATH_PI));
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
1204 PyModule_AddObject(m, "e", PyFloat_FromDouble(Py_MATH_E));
4752
7367fb107108 Better error checking in initmath().
Barry Warsaw <barry@python.org>
parents: 4635
diff changeset
1205
46477
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
1206 finally:
47580
94f64f11fdd0 Implement PEP 3121: new module initialization and finalization API.
Martin v. Löwis <martin@v.loewis.de>
parents: 47562
diff changeset
1207 return m;
6
fc6fcd7df4f7 Initial revision
Guido van Rossum <guido@python.org>
parents:
diff changeset
1208 }