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annotate Modules/mathmodule.c @ 48345:cb871f736be0

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merge error: test.test_support is now test.support
author Amaury Forgeot d'Arc <amauryfa@gmail.com>
date Thu, 19 Jun 2008 22:03:50 +0000
parents a6503ae3e19c
children e22deaeb6c1b
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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 /*
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140 math_1 is used to wrap a libm function f that takes a double
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141 arguments and returns a double.
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142
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143 The error reporting follows these rules, which are designed to do
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144 the right thing on C89/C99 platforms and IEEE 754/non IEEE 754
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145 platforms.
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146
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147 - a NaN result from non-NaN inputs causes ValueError to be raised
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148 - an infinite result from finite inputs causes OverflowError to be
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149 raised if can_overflow is 1, or raises ValueError if can_overflow
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150 is 0.
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151 - if the result is finite and errno == EDOM then ValueError is
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152 raised
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153 - if the result is finite and nonzero and errno == ERANGE then
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154 OverflowError is raised
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155
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156 The last rule is used to catch overflow on platforms which follow
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157 C89 but for which HUGE_VAL is not an infinity.
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158
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159 For the majority of one-argument functions these rules are enough
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160 to ensure that Python's functions behave as specified in 'Annex F'
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161 of the C99 standard, with the 'invalid' and 'divide-by-zero'
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162 floating-point exceptions mapping to Python's ValueError and the
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163 'overflow' floating-point exception mapping to OverflowError.
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164 math_1 only works for functions that don't have singularities *and*
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165 the possibility of overflow; fortunately, that covers everything we
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166 care about right now.
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167 */
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168
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169 static PyObject *
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170 math_1_to_whatever(PyObject *arg, double (*func) (double),
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171 PyObject *(*from_double_func) (double),
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172 int can_overflow)
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173 {
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174 double x, r;
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175 x = PyFloat_AsDouble(arg);
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176 if (x == -1.0 && PyErr_Occurred())
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177 return NULL;
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178 errno = 0;
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179 PyFPE_START_PROTECT("in math_1", return 0);
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180 r = (*func)(x);
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181 PyFPE_END_PROTECT(r);
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182 if (Py_IS_NAN(r) && !Py_IS_NAN(x)) {
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183 PyErr_SetString(PyExc_ValueError,
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184 "math domain error"); /* invalid arg */
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185 return NULL;
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186 }
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187 if (Py_IS_INFINITY(r) && Py_IS_FINITE(x)) {
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188 if (can_overflow)
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189 PyErr_SetString(PyExc_OverflowError,
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190 "math range error"); /* overflow */
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191 else
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192 PyErr_SetString(PyExc_ValueError,
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193 "math domain error"); /* singularity */
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194 return NULL;
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195 }
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196 if (Py_IS_FINITE(r) && errno && is_error(r))
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197 /* this branch unnecessary on most platforms */
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198 return NULL;
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199
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200 return (*from_double_func)(r);
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201 }
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202
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203 /*
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204 math_2 is used to wrap a libm function f that takes two double
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205 arguments and returns a double.
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206
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207 The error reporting follows these rules, which are designed to do
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208 the right thing on C89/C99 platforms and IEEE 754/non IEEE 754
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209 platforms.
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210
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211 - a NaN result from non-NaN inputs causes ValueError to be raised
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212 - an infinite result from finite inputs causes OverflowError to be
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213 raised.
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214 - if the result is finite and errno == EDOM then ValueError is
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215 raised
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216 - if the result is finite and nonzero and errno == ERANGE then
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217 OverflowError is raised
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218
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219 The last rule is used to catch overflow on platforms which follow
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220 C89 but for which HUGE_VAL is not an infinity.
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221
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222 For most two-argument functions (copysign, fmod, hypot, atan2)
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223 these rules are enough to ensure that Python's functions behave as
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224 specified in 'Annex F' of the C99 standard, with the 'invalid' and
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225 'divide-by-zero' floating-point exceptions mapping to Python's
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226 ValueError and the 'overflow' floating-point exception mapping to
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227 OverflowError.
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228 */
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229
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230 static PyObject *
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231 math_1(PyObject *arg, double (*func) (double), int can_overflow)
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232 {
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233 return math_1_to_whatever(arg, func, PyFloat_FromDouble, can_overflow);
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234 }
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235
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236 static PyObject *
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237 math_1_to_int(PyObject *arg, double (*func) (double), int can_overflow)
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238 {
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239 return math_1_to_whatever(arg, func, PyLong_FromDouble, can_overflow);
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240 }
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241
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242 static PyObject *
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243 math_2(PyObject *args, double (*func) (double, double), char *funcname)
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244 {
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245 PyObject *ox, *oy;
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246 double x, y, r;
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247 if (! PyArg_UnpackTuple(args, funcname, 2, 2, &ox, &oy))
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248 return NULL;
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249 x = PyFloat_AsDouble(ox);
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250 y = PyFloat_AsDouble(oy);
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251 if ((x == -1.0 || y == -1.0) && PyErr_Occurred())
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252 return NULL;
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253 errno = 0;
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254 PyFPE_START_PROTECT("in math_2", return 0);
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255 r = (*func)(x, y);
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256 PyFPE_END_PROTECT(r);
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257 if (Py_IS_NAN(r)) {
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258 if (!Py_IS_NAN(x) && !Py_IS_NAN(y))
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259 errno = EDOM;
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260 else
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261 errno = 0;
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262 }
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263 else if (Py_IS_INFINITY(r)) {
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264 if (Py_IS_FINITE(x) && Py_IS_FINITE(y))
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265 errno = ERANGE;
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266 else
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267 errno = 0;
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268 }
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269 if (errno && is_error(r))
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270 return NULL;
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271 else
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272 return PyFloat_FromDouble(r);
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273 }
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274
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275 #define FUNC1(funcname, func, can_overflow, docstring) \
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276 static PyObject * math_##funcname(PyObject *self, PyObject *args) { \
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277 return math_1(args, func, can_overflow); \
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278 }\
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279 PyDoc_STRVAR(math_##funcname##_doc, docstring);
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280
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281 #define FUNC2(funcname, func, docstring) \
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282 static PyObject * math_##funcname(PyObject *self, PyObject *args) { \
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283 return math_2(args, func, #funcname); \
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284 }\
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285 PyDoc_STRVAR(math_##funcname##_doc, docstring);
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286
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287 FUNC1(acos, acos, 0,
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288 "acos(x)\n\nReturn the arc cosine (measured in radians) of x.")
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289 FUNC1(acosh, acosh, 0,
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290 "acosh(x)\n\nReturn the hyperbolic arc cosine (measured in radians) of x.")
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291 FUNC1(asin, asin, 0,
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292 "asin(x)\n\nReturn the arc sine (measured in radians) of x.")
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293 FUNC1(asinh, asinh, 0,
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294 "asinh(x)\n\nReturn the hyperbolic arc sine (measured in radians) of x.")
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295 FUNC1(atan, atan, 0,
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296 "atan(x)\n\nReturn the arc tangent (measured in radians) of x.")
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297 FUNC2(atan2, m_atan2,
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298 "atan2(y, x)\n\nReturn the arc tangent (measured in radians) of y/x.\n"
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299 "Unlike atan(y/x), the signs of both x and y are considered.")
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300 FUNC1(atanh, atanh, 0,
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301 "atanh(x)\n\nReturn the hyperbolic arc tangent (measured in radians) of x.")
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302
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303 static PyObject * math_ceil(PyObject *self, PyObject *number) {
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304 static PyObject *ceil_str = NULL;
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305 PyObject *method;
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306
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307 if (ceil_str == NULL) {
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308 ceil_str = PyUnicode_InternFromString("__ceil__");
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309 if (ceil_str == NULL)
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310 return NULL;
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311 }
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312
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313 method = _PyType_Lookup(Py_TYPE(number), ceil_str);
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314 if (method == NULL)
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315 return math_1_to_int(number, ceil, 0);
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316 else
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317 return PyObject_CallFunction(method, "O", number);
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318 }
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319
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320 PyDoc_STRVAR(math_ceil_doc,
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321 "ceil(x)\n\nReturn the ceiling of x as an int.\n"
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322 "This is the smallest integral value >= x.");
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323
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324 FUNC2(copysign, copysign,
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325 "copysign(x,y)\n\nReturn x with the sign of y.")
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326 FUNC1(cos, cos, 0,
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327 "cos(x)\n\nReturn the cosine of x (measured in radians).")
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328 FUNC1(cosh, cosh, 1,
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329 "cosh(x)\n\nReturn the hyperbolic cosine of x.")
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330 FUNC1(exp, exp, 1,
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331 "exp(x)\n\nReturn e raised to the power of x.")
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332 FUNC1(fabs, fabs, 0,
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333 "fabs(x)\n\nReturn the absolute value of the float x.")
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334
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335 static PyObject * math_floor(PyObject *self, PyObject *number) {
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336 static PyObject *floor_str = NULL;
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337 PyObject *method;
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338
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339 if (floor_str == NULL) {
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340 floor_str = PyUnicode_InternFromString("__floor__");
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341 if (floor_str == NULL)
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342 return NULL;
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343 }
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344
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345 method = _PyType_Lookup(Py_TYPE(number), floor_str);
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346 if (method == NULL)
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347 return math_1_to_int(number, floor, 0);
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348 else
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349 return PyObject_CallFunction(method, "O", number);
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350 }
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351
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352 PyDoc_STRVAR(math_floor_doc,
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353 "floor(x)\n\nReturn the floor of x as an int.\n"
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354 "This is the largest integral value <= x.");
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355
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356 FUNC1(log1p, log1p, 1,
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357 "log1p(x)\n\nReturn the natural logarithm of 1+x (base e).\n\
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358 The result is computed in a way which is accurate for x near zero.")
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359 FUNC1(sin, sin, 0,
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360 "sin(x)\n\nReturn the sine of x (measured in radians).")
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361 FUNC1(sinh, sinh, 1,
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362 "sinh(x)\n\nReturn the hyperbolic sine of x.")
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363 FUNC1(sqrt, sqrt, 0,
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364 "sqrt(x)\n\nReturn the square root of x.")
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365 FUNC1(tan, tan, 0,
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366 "tan(x)\n\nReturn the tangent of x (measured in radians).")
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367 FUNC1(tanh, tanh, 0,
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368 "tanh(x)\n\nReturn the hyperbolic tangent of x.")
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369
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370 /* Precision summation function as msum() by Raymond Hettinger in
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371 <http://aspn.activestate.com/ASPN/Cookbook/Python/Recipe/393090>,
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372 enhanced with the exact partials sum and roundoff from Mark
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373 Dickinson's post at <http://bugs.python.org/file10357/msum4.py>.
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374 See those links for more details, proofs and other references.
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375
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376 Note 1: IEEE 754R floating point semantics are assumed,
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377 but the current implementation does not re-establish special
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378 value semantics across iterations (i.e. handling -Inf + Inf).
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379
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380 Note 2: No provision is made for intermediate overflow handling;
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381 therefore, sum([1e+308, 1e-308, 1e+308]) returns 1e+308 while
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382 sum([1e+308, 1e+308, 1e-308]) raises an OverflowError due to the
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383 overflow of the first partial sum.
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384
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385 Note 3: The itermediate values lo, yr, and hi are declared volatile so
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386 aggressive compilers won't algebraicly reduce lo to always be exactly 0.0.
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387 Also, the volatile declaration forces the values to be stored in memory as
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388 regular doubles instead of extended long precision (80-bit) values. This
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389 prevents double rounding because any addition or substraction of two doubles
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390 can be resolved exactly into double-sized hi and lo values. As long as the
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391 hi value gets forced into a double before yr and lo are computed, the extra
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392 bits in downstream extended precision operations (x87 for example) will be
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393 exactly zero and therefore can be losslessly stored back into a double,
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394 thereby preventing double rounding.
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395
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396 Note 4: A similar implementation is in Modules/cmathmodule.c.
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397 Be sure to update both when making changes.
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398
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399 Note 5: The signature of math.sum() differs from __builtin__.sum()
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400 because the start argument doesn't make sense in the context of
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401 accurate summation. Since the partials table is collapsed before
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402 returning a result, sum(seq2, start=sum(seq1)) may not equal the
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403 accurate result returned by sum(itertools.chain(seq1, seq2)).
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404 */
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405
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406 #define NUM_PARTIALS 32 /* initial partials array size, on stack */
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407
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408 /* Extend the partials array p[] by doubling its size. */
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409 static int /* non-zero on error */
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410 _sum_realloc(double **p_ptr, Py_ssize_t n,
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411 double *ps, Py_ssize_t *m_ptr)
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412 {
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413 void *v = NULL;
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414 Py_ssize_t m = *m_ptr;
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415
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416 m += m; /* double */
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417 if (n < m && m < (PY_SSIZE_T_MAX / sizeof(double))) {
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418 double *p = *p_ptr;
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419 if (p == ps) {
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420 v = PyMem_Malloc(sizeof(double) * m);
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421 if (v != NULL)
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422 memcpy(v, ps, sizeof(double) * n);
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423 }
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424 else
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425 v = PyMem_Realloc(p, sizeof(double) * m);
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426 }
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427 if (v == NULL) { /* size overflow or no memory */
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428 PyErr_SetString(PyExc_MemoryError, "math sum partials");
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429 return 1;
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430 }
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431 *p_ptr = (double*) v;
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432 *m_ptr = m;
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433 return 0;
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434 }
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435
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436 /* Full precision summation of a sequence of floats.
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437
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438 def msum(iterable):
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439 partials = [] # sorted, non-overlapping partial sums
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440 for x in iterable:
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441 i = 0
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442 for y in partials:
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443 if abs(x) < abs(y):
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444 x, y = y, x
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445 hi = x + y
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446 lo = y - (hi - x)
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447 if lo:
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448 partials[i] = lo
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449 i += 1
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450 x = hi
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451 partials[i:] = [x]
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452 return sum_exact(partials)
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453
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454 Rounded x+y stored in hi with the roundoff stored in lo. Together hi+lo
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455 are exactly equal to x+y. The inner loop applies hi/lo summation to each
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456 partial so that the list of partial sums remains exact.
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457
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458 Sum_exact() adds the partial sums exactly and correctly rounds the final
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459 result (using the round-half-to-even rule). The items in partials remain
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460 non-zero, non-special, non-overlapping and strictly increasing in
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461 magnitude, but possibly not all having the same sign.
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462
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463 Depends on IEEE 754 arithmetic guarantees and half-even rounding.
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464 */
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465
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466 static PyObject*
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467 math_sum(PyObject *self, PyObject *seq)
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468 {
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469 PyObject *item, *iter, *sum = NULL;
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470 Py_ssize_t i, j, n = 0, m = NUM_PARTIALS;
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471 double x, y, t, ps[NUM_PARTIALS], *p = ps;
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472 volatile double hi, yr, lo;
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473
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474 iter = PyObject_GetIter(seq);
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475 if (iter == NULL)
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476 return NULL;
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477
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478 PyFPE_START_PROTECT("sum", Py_DECREF(iter); return NULL)
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479
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480 for(;;) { /* for x in iterable */
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481 assert(0 <= n && n <= m);
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482 assert((m == NUM_PARTIALS && p == ps) ||
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483 (m > NUM_PARTIALS && p != NULL));
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484
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485 item = PyIter_Next(iter);
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486 if (item == NULL) {
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487 if (PyErr_Occurred())
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488 goto _sum_error;
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489 break;
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490 }
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491 x = PyFloat_AsDouble(item);
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492 Py_DECREF(item);
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493 if (PyErr_Occurred())
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494 goto _sum_error;
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495
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496 for (i = j = 0; j < n; j++) { /* for y in partials */
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497 y = p[j];
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498 if (fabs(x) < fabs(y)) {
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499 t = x; x = y; y = t;
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500 }
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501 hi = x + y;
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502 yr = hi - x;
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503 lo = y - yr;
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504 if (lo != 0.0)
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505 p[i++] = lo;
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506 x = hi;
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507 }
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508
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509 n = i; /* ps[i:] = [x] */
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510 if (x != 0.0) {
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511 /* If non-finite, reset partials, effectively
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512 adding subsequent items without roundoff
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513 and yielding correct non-finite results,
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514 provided IEEE 754 rules are observed */
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515 if (! Py_IS_FINITE(x))
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516 n = 0;
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517 else if (n >= m && _sum_realloc(&p, n, ps, &m))
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518 goto _sum_error;
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519 p[n++] = x;
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520 }
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521 }
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522
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523 hi = 0.0;
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524 if (n > 0) {
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525 hi = p[--n];
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526 if (Py_IS_FINITE(hi)) {
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527 /* sum_exact(ps, hi) from the top, stop when the sum becomes inexact. */
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528 while (n > 0) {
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529 x = hi;
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530 y = p[--n];
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531 assert(fabs(y) < fabs(x));
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532 hi = x + y;
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533 yr = hi - x;
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534 lo = y - yr;
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535 if (lo != 0.0)
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536 break;
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537 }
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538 /* Make half-even rounding work across multiple partials. Needed
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539 so that sum([1e-16, 1, 1e16]) will round-up the last digit to
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540 two instead of down to zero (the 1e-16 makes the 1 slightly
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541 closer to two). With a potential 1 ULP rounding error fixed-up,
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542 math.sum() can guarantee commutativity. */
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543 if (n > 0 && ((lo < 0.0 && p[n-1] < 0.0) ||
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544 (lo > 0.0 && p[n-1] > 0.0))) {
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545 y = lo * 2.0;
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546 x = hi + y;
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547 yr = x - hi;
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548 if (y == yr)
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549 hi = x;
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550 }
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551 }
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552 else { /* raise exception corresponding to a special value */
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553 errno = Py_IS_NAN(hi) ? EDOM : ERANGE;
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554 if (is_error(hi))
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555 goto _sum_error;
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556 }
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557 }
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558 sum = PyFloat_FromDouble(hi);
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559
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560 _sum_error:
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561 PyFPE_END_PROTECT(hi)
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562 Py_DECREF(iter);
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563 if (p != ps)
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564 PyMem_Free(p);
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565 return sum;
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566 }
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567
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568 #undef NUM_PARTIALS
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569
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570 PyDoc_STRVAR(math_sum_doc,
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571 "sum(iterable)\n\n\
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572 Return an accurate floating point sum of values in the iterable.\n\
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573 Assumes IEEE-754 floating point arithmetic.");
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574
4635
49745ddb4f69 Renamed
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diff changeset
575 static PyObject *
47562
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576 math_factorial(PyObject *self, PyObject *arg)
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577 {
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578 long i, x;
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579 PyObject *result, *iobj, *newresult;
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580
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581 if (PyFloat_Check(arg)) {
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582 double dx = PyFloat_AS_DOUBLE((PyFloatObject *)arg);
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583 if (dx != floor(dx)) {
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584 PyErr_SetString(PyExc_ValueError,
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585 "factorial() only accepts integral values");
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586 return NULL;
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587 }
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588 }
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589
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590 x = PyLong_AsLong(arg);
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591 if (x == -1 && PyErr_Occurred())
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592 return NULL;
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593 if (x < 0) {
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594 PyErr_SetString(PyExc_ValueError,
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595 "factorial() not defined for negative values");
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596 return NULL;
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597 }
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598
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599 result = (PyObject *)PyLong_FromLong(1);
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600 if (result == NULL)
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601 return NULL;
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602 for (i=1 ; i<=x ; i++) {
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603 iobj = (PyObject *)PyLong_FromLong(i);
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604 if (iobj == NULL)
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605 goto error;
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606 newresult = PyNumber_Multiply(result, iobj);
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607 Py_DECREF(iobj);
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608 if (newresult == NULL)
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609 goto error;
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610 Py_DECREF(result);
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611 result = newresult;
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612 }
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613 return result;
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614
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615 error:
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616 Py_DECREF(result);
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617 Py_XDECREF(iobj);
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618 return NULL;
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619 }
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620
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621 PyDoc_STRVAR(math_factorial_doc, "Return n!");
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622
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623 static PyObject *
45082
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624 math_trunc(PyObject *self, PyObject *number)
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625 {
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626 static PyObject *trunc_str = NULL;
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627 PyObject *trunc;
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628
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629 if (Py_TYPE(number)->tp_dict == NULL) {
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630 if (PyType_Ready(Py_TYPE(number)) < 0)
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631 return NULL;
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632 }
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633
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634 if (trunc_str == NULL) {
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635 trunc_str = PyUnicode_InternFromString("__trunc__");
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636 if (trunc_str == NULL)
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637 return NULL;
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638 }
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639
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640 trunc = _PyType_Lookup(Py_TYPE(number), trunc_str);
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641 if (trunc == NULL) {
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642 PyErr_Format(PyExc_TypeError,
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643 "type %.100s doesn't define __trunc__ method",
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644 Py_TYPE(number)->tp_name);
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645 return NULL;
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646 }
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647 return PyObject_CallFunctionObjArgs(trunc, number, NULL);
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648 }
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649
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650 PyDoc_STRVAR(math_trunc_doc,
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651 "trunc(x:Real) -> Integral\n"
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652 "\n"
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653 "Truncates x to the nearest Integral toward 0. Uses the __trunc__ magic method.");
45082
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654
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655 static PyObject *
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656 math_frexp(PyObject *self, PyObject *arg)
407
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657 {
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658 int i;
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659 double x = PyFloat_AsDouble(arg);
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660 if (x == -1.0 && PyErr_Occurred())
407
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661 return NULL;
46477
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662 /* deal with special cases directly, to sidestep platform
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663 differences */
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664 if (Py_IS_NAN(x) || Py_IS_INFINITY(x) || !x) {
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665 i = 0;
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666 }
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667 else {
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668 PyFPE_START_PROTECT("in math_frexp", return 0);
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669 x = frexp(x, &i);
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670 PyFPE_END_PROTECT(x);
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671 }
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672 return Py_BuildValue("(di)", x, i);
407
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673 }
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674
23832
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675 PyDoc_STRVAR(math_frexp_doc,
19712
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diff changeset
676 "frexp(x)\n"
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677 "\n"
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678 "Return the mantissa and exponent of x, as pair (m, e).\n"
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Tim Peters <tim.peters@gmail.com>
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679 "m is a float and e is an int, such that x = m * 2.**e.\n"
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diff changeset
680 "If x is 0, m and e are both 0. Else 0.5 <= abs(m) < 1.0.");
9593
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Guido van Rossum <guido@python.org>
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diff changeset
681
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682 static PyObject *
13326
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Fred Drake <fdrake@acm.org>
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diff changeset
683 math_ldexp(PyObject *self, PyObject *args)
407
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684 {
46477
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685 double x, r;
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686 PyObject *oexp;
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687 long exp;
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688 if (! PyArg_ParseTuple(args, "dO:ldexp", &x, &oexp))
407
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Guido van Rossum <guido@python.org>
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689 return NULL;
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690
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691 if (PyLong_Check(oexp)) {
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692 /* on overflow, replace exponent with either LONG_MAX
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693 or LONG_MIN, depending on the sign. */
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694 exp = PyLong_AsLong(oexp);
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695 if (exp == -1 && PyErr_Occurred()) {
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696 if (PyErr_ExceptionMatches(PyExc_OverflowError)) {
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697 if (Py_SIZE(oexp) < 0) {
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698 exp = LONG_MIN;
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699 }
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700 else {
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diff changeset
701 exp = LONG_MAX;
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702 }
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diff changeset
703 PyErr_Clear();
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704 }
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705 else {
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diff changeset
706 /* propagate any unexpected exception */
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707 return NULL;
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708 }
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709 }
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710 }
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711 else {
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diff changeset
712 PyErr_SetString(PyExc_TypeError,
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diff changeset
713 "Expected an int or long as second argument "
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diff changeset
714 "to ldexp.");
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diff changeset
715 return NULL;
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716 }
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717
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diff changeset
718 if (x == 0. || !Py_IS_FINITE(x)) {
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diff changeset
719 /* NaNs, zeros and infinities are returned unchanged */
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diff changeset
720 r = x;
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diff changeset
721 errno = 0;
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722 } else if (exp > INT_MAX) {
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diff changeset
723 /* overflow */
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diff changeset
724 r = copysign(Py_HUGE_VAL, x);
46477
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diff changeset
725 errno = ERANGE;
47063
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726 } else if (exp < INT_MIN) {
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diff changeset
727 /* underflow to +-0 */
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diff changeset
728 r = copysign(0., x);
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diff changeset
729 errno = 0;
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730 } else {
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731 errno = 0;
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diff changeset
732 PyFPE_START_PROTECT("in math_ldexp", return 0);
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diff changeset
733 r = ldexp(x, (int)exp);
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diff changeset
734 PyFPE_END_PROTECT(r);
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diff changeset
735 if (Py_IS_INFINITY(r))
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736 errno = ERANGE;
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737 }
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diff changeset
738
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diff changeset
739 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
740 return NULL;
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diff changeset
741 return PyFloat_FromDouble(r);
407
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Guido van Rossum <guido@python.org>
parents: 320
diff changeset
742 }
9b3d557665a9 Added frexp, ldexp, modf, fmod.
Guido van Rossum <guido@python.org>
parents: 320
diff changeset
743
23832
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Martin v. Löwis <martin@v.loewis.de>
parents: 23427
diff changeset
744 PyDoc_STRVAR(math_ldexp_doc,
ed1ba37a46b7 Patch #568124: Add doc string macros.
Martin v. Löwis <martin@v.loewis.de>
parents: 23427
diff changeset
745 "ldexp(x, i) -> x * (2**i)");
9593
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
Guido van Rossum <guido@python.org>
parents: 9588
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746
4635
49745ddb4f69 Renamed
Barry Warsaw <barry@python.org>
parents: 4503
diff changeset
747 static PyObject *
40450
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Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
748 math_modf(PyObject *self, PyObject *arg)
407
9b3d557665a9 Added frexp, ldexp, modf, fmod.
Guido van Rossum <guido@python.org>
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diff changeset
749 {
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
750 double y, x = PyFloat_AsDouble(arg);
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Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
751 if (x == -1.0 && PyErr_Occurred())
407
9b3d557665a9 Added frexp, ldexp, modf, fmod.
Guido van Rossum <guido@python.org>
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752 return NULL;
46505
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753 /* some platforms don't do the right thing for NaNs and
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diff changeset
754 infinities, so we take care of special cases directly. */
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755 if (!Py_IS_FINITE(x)) {
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756 if (Py_IS_INFINITY(x))
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757 return Py_BuildValue("(dd)", copysign(0., x), x);
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758 else if (Py_IS_NAN(x))
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759 return Py_BuildValue("(dd)", x, x);
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760 }
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diff changeset
761
407
9b3d557665a9 Added frexp, ldexp, modf, fmod.
Guido van Rossum <guido@python.org>
parents: 320
diff changeset
762 errno = 0;
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763 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
764 x = modf(x, &y);
46477
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
765 PyFPE_END_PROTECT(x);
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
766 return Py_BuildValue("(dd)", x, y);
407
9b3d557665a9 Added frexp, ldexp, modf, fmod.
Guido van Rossum <guido@python.org>
parents: 320
diff changeset
767 }
6
fc6fcd7df4f7 Initial revision
Guido van Rossum <guido@python.org>
parents:
diff changeset
768
23832
ed1ba37a46b7 Patch #568124: Add doc string macros.
Martin v. Löwis <martin@v.loewis.de>
parents: 23427
diff changeset
769 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
770 "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
771 "\n"
b4521436e8f8 Mechanical fiddling to make this easier to work with in my editor.
Tim Peters <tim.peters@gmail.com>
parents: 19048
diff changeset
772 "Return the fractional and integer parts of x. Both results carry the sign\n"
23832
ed1ba37a46b7 Patch #568124: Add doc string macros.
Martin v. Löwis <martin@v.loewis.de>
parents: 23427
diff changeset
773 "of x. The integer part is returned as a real.");
9593
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
Guido van Rossum <guido@python.org>
parents: 9588
diff changeset
774
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
775 /* 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
776 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
777 "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
778 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
779 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
780 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
781 */
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
782
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
783 static PyObject*
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
784 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
785 {
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
786 /* 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
787 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
788 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
789 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
790 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
791 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
792 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
793 "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
794 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
795 }
44999
7c02182e2979 Merged revisions 60284-60349 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44943
diff changeset
796 /* 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
797 log(x) + log(2) * e * PyLong_SHIFT.
7c02182e2979 Merged revisions 60284-60349 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44943
diff changeset
798 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
799 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
800 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
801 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
802 }
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
803
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
804 /* 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
805 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
806 }
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
807
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
808 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
809 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
810 {
26661
b12e326b4ea2 Apply SF patch 652930: Add optional base argument to math.log(x[, base]).
Raymond Hettinger <python@rcn.com>
parents: 24471
diff changeset
811 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
812 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
813 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
814 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
815
26818
e094a03a80ff SF patch #659536: Use PyArg_UnpackTuple where possible.
Raymond Hettinger <python@rcn.com>
parents: 26661
diff changeset
816 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
817 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
818
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
819 num = loghelper(arg, log, "log");
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
820 if (num == NULL || base == NULL)
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
821 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
822
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
823 den = loghelper(base, 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
824 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
825 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
826 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
827 }
b12e326b4ea2 Apply SF patch 652930: Add optional base argument to math.log(x[, base]).
Raymond Hettinger <python@rcn.com>
parents: 24471
diff changeset
828
37191
4bfe8afe8f65 Get rid of remnants of integer division
Neal Norwitz <nnorwitz@gmail.com>
parents: 36324
diff changeset
829 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
830 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
831 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
832 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
833 }
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
834
23832
ed1ba37a46b7 Patch #568124: Add doc string macros.
Martin v. Löwis <martin@v.loewis.de>
parents: 23427
diff changeset
835 PyDoc_STRVAR(math_log_doc,
26661
b12e326b4ea2 Apply SF patch 652930: Add optional base argument to math.log(x[, base]).
Raymond Hettinger <python@rcn.com>
parents: 24471
diff changeset
836 "log(x[, base]) -> the logarithm of x to the given base.\n\
b12e326b4ea2 Apply SF patch 652930: Add optional base argument to math.log(x[, base]).
Raymond Hettinger <python@rcn.com>
parents: 24471
diff changeset
837 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
838
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
839 static PyObject *
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
840 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
841 {
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
842 return loghelper(arg, 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
843 }
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
844
23832
ed1ba37a46b7 Patch #568124: Add doc string macros.
Martin v. Löwis <martin@v.loewis.de>
parents: 23427
diff changeset
845 PyDoc_STRVAR(math_log10_doc,
ed1ba37a46b7 Patch #568124: Add doc string macros.
Martin v. Löwis <martin@v.loewis.de>
parents: 23427
diff changeset
846 "log10(x) -> 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
847
46477
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
848 static PyObject *
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
849 math_fmod(PyObject *self, PyObject *args)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
850 {
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
851 PyObject *ox, *oy;
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
852 double r, x, y;
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
853 if (! PyArg_UnpackTuple(args, "fmod", 2, 2, &ox, &oy))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
854 return NULL;
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
855 x = PyFloat_AsDouble(ox);
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
856 y = PyFloat_AsDouble(oy);
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
857 if ((x == -1.0 || y == -1.0) && PyErr_Occurred())
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
858 return NULL;
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
859 /* 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
860 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
861 return PyFloat_FromDouble(x);
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
862 errno = 0;
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
863 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
864 r = fmod(x, y);
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
865 PyFPE_END_PROTECT(r);
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
866 if (Py_IS_NAN(r)) {
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
867 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
868 errno = EDOM;
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
869 else
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
870 errno = 0;
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
871 }
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
872 if (errno && is_error(r))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
873 return NULL;
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
874 else
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
875 return PyFloat_FromDouble(r);
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
876 }
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
877
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
878 PyDoc_STRVAR(math_fmod_doc,
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
879 "fmod(x,y)\n\nReturn fmod(x, y), according to platform C."
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
880 " x % y may differ.");
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
881
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
882 static PyObject *
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
883 math_hypot(PyObject *self, PyObject *args)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
884 {
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
885 PyObject *ox, *oy;
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
886 double r, x, y;
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
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diff changeset
887 if (! PyArg_UnpackTuple(args, "hypot", 2, 2, &ox, &oy))
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888 return NULL;
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889 x = PyFloat_AsDouble(ox);
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890 y = PyFloat_AsDouble(oy);
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891 if ((x == -1.0 || y == -1.0) && PyErr_Occurred())
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892 return NULL;
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893 /* hypot(x, +/-Inf) returns Inf, even if x is a NaN. */
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894 if (Py_IS_INFINITY(x))
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895 return PyFloat_FromDouble(fabs(x));
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896 if (Py_IS_INFINITY(y))
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897 return PyFloat_FromDouble(fabs(y));
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898 errno = 0;
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899 PyFPE_START_PROTECT("in math_hypot", return 0);
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900 r = hypot(x, y);
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901 PyFPE_END_PROTECT(r);
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902 if (Py_IS_NAN(r)) {
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903 if (!Py_IS_NAN(x) && !Py_IS_NAN(y))
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904 errno = EDOM;
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905 else
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906 errno = 0;
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907 }
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908 else if (Py_IS_INFINITY(r)) {
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909 if (Py_IS_FINITE(x) && Py_IS_FINITE(y))
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910 errno = ERANGE;
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911 else
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912 errno = 0;
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913 }
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914 if (errno && is_error(r))
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915 return NULL;
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916 else
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917 return PyFloat_FromDouble(r);
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918 }
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919
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920 PyDoc_STRVAR(math_hypot_doc,
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921 "hypot(x,y)\n\nReturn the Euclidean distance, sqrt(x*x + y*y).");
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922
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923 /* pow can't use math_2, but needs its own wrapper: the problem is
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924 that an infinite result can arise either as a result of overflow
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925 (in which case OverflowError should be raised) or as a result of
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926 e.g. 0.**-5. (for which ValueError needs to be raised.)
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927 */
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928
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929 static PyObject *
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930 math_pow(PyObject *self, PyObject *args)
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931 {
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932 PyObject *ox, *oy;
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933 double r, x, y;
46505
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934 int odd_y;
46477
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935
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936 if (! PyArg_UnpackTuple(args, "pow", 2, 2, &ox, &oy))
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937 return NULL;
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938 x = PyFloat_AsDouble(ox);
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939 y = PyFloat_AsDouble(oy);
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940 if ((x == -1.0 || y == -1.0) && PyErr_Occurred())
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941 return NULL;
46505
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942
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943 /* deal directly with IEEE specials, to cope with problems on various
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944 platforms whose semantics don't exactly match C99 */
46664
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945 r = 0.; /* silence compiler warning */
46505
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946 if (!Py_IS_FINITE(x) || !Py_IS_FINITE(y)) {
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947 errno = 0;
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948 if (Py_IS_NAN(x))
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949 r = y == 0. ? 1. : x; /* NaN**0 = 1 */
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950 else if (Py_IS_NAN(y))
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951 r = x == 1. ? 1. : y; /* 1**NaN = 1 */
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952 else if (Py_IS_INFINITY(x)) {
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953 odd_y = Py_IS_FINITE(y) && fmod(fabs(y), 2.0) == 1.0;
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954 if (y > 0.)
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955 r = odd_y ? x : fabs(x);
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956 else if (y == 0.)
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957 r = 1.;
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958 else /* y < 0. */
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959 r = odd_y ? copysign(0., x) : 0.;
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960 }
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961 else if (Py_IS_INFINITY(y)) {
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962 if (fabs(x) == 1.0)
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963 r = 1.;
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964 else if (y > 0. && fabs(x) > 1.0)
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965 r = y;
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966 else if (y < 0. && fabs(x) < 1.0) {
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967 r = -y; /* result is +inf */
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968 if (x == 0.) /* 0**-inf: divide-by-zero */
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969 errno = EDOM;
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970 }
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971 else
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972 r = 0.;
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973 }
46477
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974 }
46505
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975 else {
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diff changeset
976 /* let libm handle finite**finite */
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977 errno = 0;
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978 PyFPE_START_PROTECT("in math_pow", return 0);
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979 r = pow(x, y);
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980 PyFPE_END_PROTECT(r);
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diff changeset
981 /* a NaN result should arise only from (-ve)**(finite
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982 non-integer); in this case we want to raise ValueError. */
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983 if (!Py_IS_FINITE(r)) {
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diff changeset
984 if (Py_IS_NAN(r)) {
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diff changeset
985 errno = EDOM;
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986 }
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diff changeset
987 /*
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diff changeset
988 an infinite result here arises either from:
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diff changeset
989 (A) (+/-0.)**negative (-> divide-by-zero)
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990 (B) overflow of x**y with x and y finite
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991 */
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992 else if (Py_IS_INFINITY(r)) {
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diff changeset
993 if (x == 0.)
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diff changeset
994 errno = EDOM;
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995 else
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diff changeset
996 errno = ERANGE;
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997 }
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998 }
46477
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999 }
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1000
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1001 if (errno && is_error(r))
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diff changeset
1002 return NULL;
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diff changeset
1003 else
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diff changeset
1004 return PyFloat_FromDouble(r);
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diff changeset
1005 }
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1006
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diff changeset
1007 PyDoc_STRVAR(math_pow_doc,
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diff changeset
1008 "pow(x,y)\n\nReturn x**y (x to the power of y).");
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1009
44441
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diff changeset
1010 static const double degToRad = Py_MATH_PI / 180.0;
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parents: 44351
diff changeset
1011 static const double radToDeg = 180.0 / Py_MATH_PI;
23427
a4d675b8b53c Added degrees() and radians() to mathmodule. Closes patch 552452 and
Raymond Hettinger <python@rcn.com>
parents: 19758
diff changeset
1012
a4d675b8b53c Added degrees() and radians() to mathmodule. Closes patch 552452 and
Raymond Hettinger <python@rcn.com>
parents: 19758
diff changeset
1013 static PyObject *
40450
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Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
1014 math_degrees(PyObject *self, PyObject *arg)
23427
a4d675b8b53c Added degrees() and radians() to mathmodule. Closes patch 552452 and
Raymond Hettinger <python@rcn.com>
parents: 19758
diff changeset
1015 {
40450
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parents: 37191
diff changeset
1016 double x = PyFloat_AsDouble(arg);
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parents: 37191
diff changeset
1017 if (x == -1.0 && PyErr_Occurred())
23427
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Raymond Hettinger <python@rcn.com>
parents: 19758
diff changeset
1018 return NULL;
44441
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parents: 44351
diff changeset
1019 return PyFloat_FromDouble(x * radToDeg);
23427
a4d675b8b53c Added degrees() and radians() to mathmodule. Closes patch 552452 and
Raymond Hettinger <python@rcn.com>
parents: 19758
diff changeset
1020 }
a4d675b8b53c Added degrees() and radians() to mathmodule. Closes patch 552452 and
Raymond Hettinger <python@rcn.com>
parents: 19758
diff changeset
1021
23832
ed1ba37a46b7 Patch #568124: Add doc string macros.
Martin v. Löwis <martin@v.loewis.de>
parents: 23427
diff changeset
1022 PyDoc_STRVAR(math_degrees_doc,
ed1ba37a46b7 Patch #568124: Add doc string macros.
Martin v. Löwis <martin@v.loewis.de>
parents: 23427
diff changeset
1023 "degrees(x) -> converts angle x from radians to degrees");
23427
a4d675b8b53c Added degrees() and radians() to mathmodule. Closes patch 552452 and
Raymond Hettinger <python@rcn.com>
parents: 19758
diff changeset
1024
a4d675b8b53c Added degrees() and radians() to mathmodule. Closes patch 552452 and
Raymond Hettinger <python@rcn.com>
parents: 19758
diff changeset
1025 static PyObject *
40450
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parents: 37191
diff changeset
1026 math_radians(PyObject *self, PyObject *arg)
23427
a4d675b8b53c Added degrees() and radians() to mathmodule. Closes patch 552452 and
Raymond Hettinger <python@rcn.com>
parents: 19758
diff changeset
1027 {
40450
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diff changeset
1028 double x = PyFloat_AsDouble(arg);
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Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
1029 if (x == -1.0 && PyErr_Occurred())
23427
a4d675b8b53c Added degrees() and radians() to mathmodule. Closes patch 552452 and
Raymond Hettinger <python@rcn.com>
parents: 19758
diff changeset
1030 return NULL;
a4d675b8b53c Added degrees() and radians() to mathmodule. Closes patch 552452 and
Raymond Hettinger <python@rcn.com>
parents: 19758
diff changeset
1031 return PyFloat_FromDouble(x * degToRad);
a4d675b8b53c Added degrees() and radians() to mathmodule. Closes patch 552452 and
Raymond Hettinger <python@rcn.com>
parents: 19758
diff changeset
1032 }
a4d675b8b53c Added degrees() and radians() to mathmodule. Closes patch 552452 and
Raymond Hettinger <python@rcn.com>
parents: 19758
diff changeset
1033
23832
ed1ba37a46b7 Patch #568124: Add doc string macros.
Martin v. Löwis <martin@v.loewis.de>
parents: 23427
diff changeset
1034 PyDoc_STRVAR(math_radians_doc,
ed1ba37a46b7 Patch #568124: Add doc string macros.
Martin v. Löwis <martin@v.loewis.de>
parents: 23427
diff changeset
1035 "radians(x) -> converts 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
1036
44441
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Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1037 static PyObject *
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Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1038 math_isnan(PyObject *self, PyObject *arg)
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Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1039 {
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parents: 44351
diff changeset
1040 double x = PyFloat_AsDouble(arg);
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parents: 44351
diff changeset
1041 if (x == -1.0 && PyErr_Occurred())
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Christian Heimes <christian@cheimes.de>
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diff changeset
1042 return NULL;
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parents: 44351
diff changeset
1043 return PyBool_FromLong((long)Py_IS_NAN(x));
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Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1044 }
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Christian Heimes <christian@cheimes.de>
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diff changeset
1045
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parents: 44351
diff changeset
1046 PyDoc_STRVAR(math_isnan_doc,
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Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1047 "isnan(x) -> bool\n\
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Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1048 Checks if float x is not a number (NaN)");
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Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1049
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parents: 44351
diff changeset
1050 static PyObject *
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Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1051 math_isinf(PyObject *self, PyObject *arg)
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Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1052 {
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Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1053 double x = PyFloat_AsDouble(arg);
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Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1054 if (x == -1.0 && PyErr_Occurred())
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Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1055 return NULL;
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Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1056 return PyBool_FromLong((long)Py_IS_INFINITY(x));
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Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1057 }
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Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1058
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Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1059 PyDoc_STRVAR(math_isinf_doc,
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Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1060 "isinf(x) -> bool\n\
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Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1061 Checks if float x is infinite (positive or negative)");
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Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1062
4635
49745ddb4f69 Renamed
Barry Warsaw <barry@python.org>
parents: 4503
diff changeset
1063 static PyMethodDef math_methods[] = {
40450
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Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
1064 {"acos", math_acos, METH_O, math_acos_doc},
46477
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
1065 {"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
1066 {"asin", math_asin, METH_O, math_asin_doc},
46477
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
1067 {"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
1068 {"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
1069 {"atan2", math_atan2, METH_VARARGS, math_atan2_doc},
46477
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
1070 {"atanh", math_atanh, METH_O, math_atanh_doc},
40450
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Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
1071 {"ceil", math_ceil, METH_O, math_ceil_doc},
44441
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Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1072 {"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
1073 {"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
1074 {"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
1075 {"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
1076 {"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
1077 {"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
1078 {"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
1079 {"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
1080 {"fmod", math_fmod, METH_VARARGS, math_fmod_doc},
40450
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Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
1081 {"frexp", math_frexp, METH_O, math_frexp_doc},
13326
24717405dd89 ANSI-fication, remove Py_PROTO, etc.
Fred Drake <fdrake@acm.org>
parents: 13309
diff changeset
1082 {"hypot", math_hypot, METH_VARARGS, math_hypot_doc},
44441
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Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1083 {"isinf", math_isinf, METH_O, math_isinf_doc},
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Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
1084 {"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
1085 {"ldexp", math_ldexp, METH_VARARGS, math_ldexp_doc},
24717405dd89 ANSI-fication, remove Py_PROTO, etc.
Fred Drake <fdrake@acm.org>
parents: 13309
diff changeset
1086 {"log", math_log, METH_VARARGS, math_log_doc},
46477
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
1087 {"log1p", math_log1p, METH_O, math_log1p_doc},
40450
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Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
1088 {"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
1089 {"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
1090 {"pow", math_pow, METH_VARARGS, math_pow_doc},
40450
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Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
1091 {"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
1092 {"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
1093 {"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
1094 {"sqrt", math_sqrt, METH_O, math_sqrt_doc},
47320
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Benjamin Peterson <benjamin@python.org>
parents: 47175
diff changeset
1095 {"sum", math_sum, METH_O, math_sum_doc},
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
1096 {"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
1097 {"tanh", math_tanh, METH_O, math_tanh_doc},
45082
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Christian Heimes <christian@cheimes.de>
parents: 45029
diff changeset
1098 {"trunc", math_trunc, METH_O, math_trunc_doc},
6
fc6fcd7df4f7 Initial revision
Guido van Rossum <guido@python.org>
parents:
diff changeset
1099 {NULL, NULL} /* sentinel */
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1100 };
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1101
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1102
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1103 PyDoc_STRVAR(module_doc,
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1104 "This module is always available. It provides access to the\n"
23832
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1105 "mathematical functions defined by the C standard.");
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1106
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1107
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1108 static struct PyModuleDef mathmodule = {
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1109 PyModuleDef_HEAD_INIT,
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1110 "math",
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1111 module_doc,
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1112 -1,
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1113 math_methods,
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1114 NULL,
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1115 NULL,
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1116 NULL,
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1117 NULL
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1118 };
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1119
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1120 PyMODINIT_FUNC
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1121 PyInit_math(void)
6
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1122 {
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1123 PyObject *m;
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1124
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1125 m = PyModule_Create(&mathmodule);
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1126 if (m == NULL)
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1127 goto finally;
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1128
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1129 PyModule_AddObject(m, "pi", PyFloat_FromDouble(Py_MATH_PI));
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1130 PyModule_AddObject(m, "e", PyFloat_FromDouble(Py_MATH_E));
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1131
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1132 finally:
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1133 return m;
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1134 }