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annotate Modules/mathmodule.c @ 46567:ffeecbebf3ca

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Block 2.6-only doc change.
author Georg Brandl <georg@python.org>
date Sat, 26 Apr 2008 18:28:08 +0000
parents ec48490b969a
children 3f2117d3271f
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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 if (x)
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87 PyErr_SetString(PyExc_OverflowError,
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88 "math range error");
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89 else
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90 result = 0;
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91 }
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92 else
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93 /* Unexpected math error */
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94 PyErr_SetFromErrno(PyExc_ValueError);
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95 return result;
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96 }
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97
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98 /*
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99 wrapper for atan2 that deals directly with special cases before
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100 delegating to the platform libm for the remaining cases. This
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101 is necessary to get consistent behaviour across platforms.
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102 Windows, FreeBSD and alpha Tru64 are amongst platforms that don't
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103 always follow C99.
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104 */
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105
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106 static double
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107 m_atan2(double y, double x)
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108 {
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109 if (Py_IS_NAN(x) || Py_IS_NAN(y))
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110 return Py_NAN;
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111 if (Py_IS_INFINITY(y)) {
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112 if (Py_IS_INFINITY(x)) {
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113 if (copysign(1., x) == 1.)
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114 /* atan2(+-inf, +inf) == +-pi/4 */
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115 return copysign(0.25*Py_MATH_PI, y);
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116 else
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117 /* atan2(+-inf, -inf) == +-pi*3/4 */
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118 return copysign(0.75*Py_MATH_PI, y);
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119 }
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120 /* atan2(+-inf, x) == +-pi/2 for finite x */
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121 return copysign(0.5*Py_MATH_PI, y);
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122 }
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123 if (Py_IS_INFINITY(x) || y == 0.) {
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124 if (copysign(1., x) == 1.)
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125 /* atan2(+-y, +inf) = atan2(+-0, +x) = +-0. */
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126 return copysign(0., y);
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127 else
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128 /* atan2(+-y, -inf) = atan2(+-0., -x) = +-pi. */
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129 return copysign(Py_MATH_PI, y);
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130 }
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131 return atan2(y, x);
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132 }
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133
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134 /*
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135 math_1 is used to wrap a libm function f that takes a double
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136 arguments and returns a double.
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137
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138 The error reporting follows these rules, which are designed to do
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139 the right thing on C89/C99 platforms and IEEE 754/non IEEE 754
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140 platforms.
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141
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142 - a NaN result from non-NaN inputs causes ValueError to be raised
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143 - an infinite result from finite inputs causes OverflowError to be
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144 raised if can_overflow is 1, or raises ValueError if can_overflow
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145 is 0.
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146 - if the result is finite and errno == EDOM then ValueError is
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147 raised
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148 - if the result is finite and nonzero and errno == ERANGE then
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149 OverflowError is raised
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150
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151 The last rule is used to catch overflow on platforms which follow
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152 C89 but for which HUGE_VAL is not an infinity.
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153
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154 For the majority of one-argument functions these rules are enough
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155 to ensure that Python's functions behave as specified in 'Annex F'
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156 of the C99 standard, with the 'invalid' and 'divide-by-zero'
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157 floating-point exceptions mapping to Python's ValueError and the
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158 'overflow' floating-point exception mapping to OverflowError.
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159 math_1 only works for functions that don't have singularities *and*
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160 the possibility of overflow; fortunately, that covers everything we
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161 care about right now.
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162 */
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163
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164 static PyObject *
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165 math_1_to_whatever(PyObject *arg, double (*func) (double),
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166 PyObject *(*from_double_func) (double),
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167 int can_overflow)
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168 {
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169 double x, r;
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170 x = PyFloat_AsDouble(arg);
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171 if (x == -1.0 && PyErr_Occurred())
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172 return NULL;
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173 errno = 0;
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174 PyFPE_START_PROTECT("in math_1", return 0);
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175 r = (*func)(x);
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176 PyFPE_END_PROTECT(r);
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177 if (Py_IS_NAN(r)) {
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178 if (!Py_IS_NAN(x))
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179 errno = EDOM;
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180 else
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181 errno = 0;
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182 }
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183 else if (Py_IS_INFINITY(r)) {
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184 if (Py_IS_FINITE(x))
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185 errno = can_overflow ? ERANGE : EDOM;
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186 else
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187 errno = 0;
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188 }
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189 if (errno && is_error(r))
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190 return NULL;
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191 else
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192 return (*from_double_func)(r);
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193 }
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194
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195 /*
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196 math_2 is used to wrap a libm function f that takes two double
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197 arguments and returns a double.
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198
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199 The error reporting follows these rules, which are designed to do
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200 the right thing on C89/C99 platforms and IEEE 754/non IEEE 754
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201 platforms.
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202
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203 - a NaN result from non-NaN inputs causes ValueError to be raised
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204 - an infinite result from finite inputs causes OverflowError to be
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205 raised.
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206 - if the result is finite and errno == EDOM then ValueError is
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207 raised
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208 - if the result is finite and nonzero and errno == ERANGE then
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209 OverflowError is raised
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210
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211 The last rule is used to catch overflow on platforms which follow
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212 C89 but for which HUGE_VAL is not an infinity.
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213
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214 For most two-argument functions (copysign, fmod, hypot, atan2)
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215 these rules are enough to ensure that Python's functions behave as
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216 specified in 'Annex F' of the C99 standard, with the 'invalid' and
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217 'divide-by-zero' floating-point exceptions mapping to Python's
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218 ValueError and the 'overflow' floating-point exception mapping to
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219 OverflowError.
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220 */
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221
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222 static PyObject *
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223 math_1(PyObject *arg, double (*func) (double), int can_overflow)
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224 {
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225 return math_1_to_whatever(arg, func, PyFloat_FromDouble, can_overflow);
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226 }
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227
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228 static PyObject *
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229 math_1_to_int(PyObject *arg, double (*func) (double), int can_overflow)
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230 {
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231 return math_1_to_whatever(arg, func, PyLong_FromDouble, can_overflow);
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232 }
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233
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234 static PyObject *
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235 math_2(PyObject *args, double (*func) (double, double), char *funcname)
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236 {
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237 PyObject *ox, *oy;
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238 double x, y, r;
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239 if (! PyArg_UnpackTuple(args, funcname, 2, 2, &ox, &oy))
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240 return NULL;
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241 x = PyFloat_AsDouble(ox);
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242 y = PyFloat_AsDouble(oy);
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243 if ((x == -1.0 || y == -1.0) && PyErr_Occurred())
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244 return NULL;
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245 errno = 0;
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246 PyFPE_START_PROTECT("in math_2", return 0);
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247 r = (*func)(x, y);
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248 PyFPE_END_PROTECT(r);
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249 if (Py_IS_NAN(r)) {
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250 if (!Py_IS_NAN(x) && !Py_IS_NAN(y))
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251 errno = EDOM;
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252 else
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253 errno = 0;
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254 }
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255 else if (Py_IS_INFINITY(r)) {
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256 if (Py_IS_FINITE(x) && Py_IS_FINITE(y))
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257 errno = ERANGE;
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258 else
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259 errno = 0;
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260 }
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261 if (errno && is_error(r))
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262 return NULL;
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263 else
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264 return PyFloat_FromDouble(r);
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265 }
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266
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267 #define FUNC1(funcname, func, can_overflow, docstring) \
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268 static PyObject * math_##funcname(PyObject *self, PyObject *args) { \
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269 return math_1(args, func, can_overflow); \
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270 }\
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271 PyDoc_STRVAR(math_##funcname##_doc, docstring);
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272
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273 #define FUNC2(funcname, func, docstring) \
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274 static PyObject * math_##funcname(PyObject *self, PyObject *args) { \
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275 return math_2(args, func, #funcname); \
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276 }\
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277 PyDoc_STRVAR(math_##funcname##_doc, docstring);
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278
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279 FUNC1(acos, acos, 0,
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280 "acos(x)\n\nReturn the arc cosine (measured in radians) of x.")
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281 FUNC1(acosh, acosh, 0,
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282 "acosh(x)\n\nReturn the hyperbolic arc cosine (measured in radians) of x.")
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283 FUNC1(asin, asin, 0,
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284 "asin(x)\n\nReturn the arc sine (measured in radians) of x.")
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285 FUNC1(asinh, asinh, 0,
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286 "asinh(x)\n\nReturn the hyperbolic arc sine (measured in radians) of x.")
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287 FUNC1(atan, atan, 0,
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288 "atan(x)\n\nReturn the arc tangent (measured in radians) of x.")
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289 FUNC2(atan2, m_atan2,
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290 "atan2(y, x)\n\nReturn the arc tangent (measured in radians) of y/x.\n"
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291 "Unlike atan(y/x), the signs of both x and y are considered.")
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292 FUNC1(atanh, atanh, 0,
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293 "atanh(x)\n\nReturn the hyperbolic arc tangent (measured in radians) of x.")
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294
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295 static PyObject * math_ceil(PyObject *self, PyObject *number) {
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296 static PyObject *ceil_str = NULL;
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297 PyObject *method;
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298
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299 if (ceil_str == NULL) {
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300 ceil_str = PyUnicode_InternFromString("__ceil__");
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301 if (ceil_str == NULL)
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302 return NULL;
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303 }
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304
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305 method = _PyType_Lookup(Py_TYPE(number), ceil_str);
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306 if (method == NULL)
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307 return math_1_to_int(number, ceil, 0);
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308 else
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309 return PyObject_CallFunction(method, "O", number);
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310 }
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311
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312 PyDoc_STRVAR(math_ceil_doc,
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313 "ceil(x)\n\nReturn the ceiling of x as an int.\n"
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314 "This is the smallest integral value >= x.");
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315
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316 FUNC2(copysign, copysign,
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317 "copysign(x,y)\n\nReturn x with the sign of y.")
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318 FUNC1(cos, cos, 0,
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319 "cos(x)\n\nReturn the cosine of x (measured in radians).")
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320 FUNC1(cosh, cosh, 1,
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321 "cosh(x)\n\nReturn the hyperbolic cosine of x.")
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322 FUNC1(exp, exp, 1,
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323 "exp(x)\n\nReturn e raised to the power of x.")
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324 FUNC1(fabs, fabs, 0,
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325 "fabs(x)\n\nReturn the absolute value of the float x.")
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326
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327 static PyObject * math_floor(PyObject *self, PyObject *number) {
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328 static PyObject *floor_str = NULL;
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329 PyObject *method;
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330
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331 if (floor_str == NULL) {
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332 floor_str = PyUnicode_InternFromString("__floor__");
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333 if (floor_str == NULL)
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334 return NULL;
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335 }
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336
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337 method = _PyType_Lookup(Py_TYPE(number), floor_str);
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338 if (method == NULL)
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339 return math_1_to_int(number, floor, 0);
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340 else
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341 return PyObject_CallFunction(method, "O", number);
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342 }
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343
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344 PyDoc_STRVAR(math_floor_doc,
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345 "floor(x)\n\nReturn the floor of x as an int.\n"
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346 "This is the largest integral value <= x.");
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347
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348 FUNC1(log1p, log1p, 1,
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349 "log1p(x)\n\nReturn the natural logarithm of 1+x (base e).\n\
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350 The result is computed in a way which is accurate for x near zero.")
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351 FUNC1(sin, sin, 0,
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352 "sin(x)\n\nReturn the sine of x (measured in radians).")
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353 FUNC1(sinh, sinh, 1,
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354 "sinh(x)\n\nReturn the hyperbolic sine of x.")
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355 FUNC1(sqrt, sqrt, 0,
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356 "sqrt(x)\n\nReturn the square root of x.")
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357 FUNC1(tan, tan, 0,
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358 "tan(x)\n\nReturn the tangent of x (measured in radians).")
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359 FUNC1(tanh, tanh, 0,
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360 "tanh(x)\n\nReturn the hyperbolic tangent of x.")
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361
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362 static PyObject *
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363 math_trunc(PyObject *self, PyObject *number)
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364 {
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365 static PyObject *trunc_str = NULL;
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366 PyObject *trunc;
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367
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368 if (Py_TYPE(number)->tp_dict == NULL) {
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369 if (PyType_Ready(Py_TYPE(number)) < 0)
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370 return NULL;
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371 }
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372
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373 if (trunc_str == NULL) {
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374 trunc_str = PyUnicode_InternFromString("__trunc__");
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375 if (trunc_str == NULL)
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376 return NULL;
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377 }
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378
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379 trunc = _PyType_Lookup(Py_TYPE(number), trunc_str);
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380 if (trunc == NULL) {
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381 PyErr_Format(PyExc_TypeError,
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382 "type %.100s doesn't define __trunc__ method",
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383 Py_TYPE(number)->tp_name);
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384 return NULL;
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385 }
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386 return PyObject_CallFunctionObjArgs(trunc, number, NULL);
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387 }
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388
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389 PyDoc_STRVAR(math_trunc_doc,
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390 "trunc(x:Real) -> Integral\n"
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391 "\n"
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392 "Truncates x to the nearest Integral toward 0. Uses the __trunc__ magic method.");
45082
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393
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394 static PyObject *
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395 math_frexp(PyObject *self, PyObject *arg)
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396 {
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397 int i;
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398 double x = PyFloat_AsDouble(arg);
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399 if (x == -1.0 && PyErr_Occurred())
407
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400 return NULL;
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401 /* deal with special cases directly, to sidestep platform
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402 differences */
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403 if (Py_IS_NAN(x) || Py_IS_INFINITY(x) || !x) {
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404 i = 0;
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405 }
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406 else {
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407 PyFPE_START_PROTECT("in math_frexp", return 0);
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408 x = frexp(x, &i);
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409 PyFPE_END_PROTECT(x);
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410 }
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411 return Py_BuildValue("(di)", x, i);
407
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412 }
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413
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414 PyDoc_STRVAR(math_frexp_doc,
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415 "frexp(x)\n"
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416 "\n"
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417 "Return the mantissa and exponent of x, as pair (m, e).\n"
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418 "m is a float and e is an int, such that x = m * 2.**e.\n"
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419 "If x is 0, m and e are both 0. Else 0.5 <= abs(m) < 1.0.");
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420
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421 static PyObject *
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422 math_ldexp(PyObject *self, PyObject *args)
407
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423 {
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424 double x, r;
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425 int exp;
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426 if (! PyArg_ParseTuple(args, "di:ldexp", &x, &exp))
407
9b3d557665a9 Added frexp, ldexp, modf, fmod.
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diff changeset
427 return NULL;
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428 errno = 0;
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429 PyFPE_START_PROTECT("in math_ldexp", return 0)
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430 r = ldexp(x, exp);
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431 PyFPE_END_PROTECT(r)
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432 if (Py_IS_FINITE(x) && Py_IS_INFINITY(r))
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433 errno = ERANGE;
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434 /* Windows MSVC8 sets errno = EDOM on ldexp(NaN, i);
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435 we unset it to avoid raising a ValueError here. */
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436 if (errno == EDOM)
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437 errno = 0;
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438 if (errno && is_error(r))
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439 return NULL;
407
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440 else
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441 return PyFloat_FromDouble(r);
407
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442 }
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443
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444 PyDoc_STRVAR(math_ldexp_doc,
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445 "ldexp(x, i) -> x * (2**i)");
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446
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447 static PyObject *
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448 math_modf(PyObject *self, PyObject *arg)
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449 {
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450 double y, x = PyFloat_AsDouble(arg);
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451 if (x == -1.0 && PyErr_Occurred())
407
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452 return NULL;
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453 /* some platforms don't do the right thing for NaNs and
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454 infinities, so we take care of special cases directly. */
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455 if (!Py_IS_FINITE(x)) {
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456 if (Py_IS_INFINITY(x))
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457 return Py_BuildValue("(dd)", copysign(0., x), x);
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458 else if (Py_IS_NAN(x))
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459 return Py_BuildValue("(dd)", x, x);
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460 }
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461
407
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462 errno = 0;
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463 PyFPE_START_PROTECT("in math_modf", return 0);
407
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464 x = modf(x, &y);
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465 PyFPE_END_PROTECT(x);
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466 return Py_BuildValue("(dd)", x, y);
407
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467 }
6
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diff changeset
468
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469 PyDoc_STRVAR(math_modf_doc,
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470 "modf(x)\n"
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471 "\n"
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472 "Return the fractional and integer parts of x. Both results carry the sign\n"
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473 "of x. The integer part is returned as a real.");
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474
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475 /* A decent logarithm is easy to compute even for huge longs, but libm can't
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parents: 19712
diff changeset
476 do that by itself -- loghelper can. func is log or log10, and name is
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parents: 19712
diff changeset
477 "log" or "log10". Note that overflow isn't possible: a long can contain
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diff changeset
478 no more than INT_MAX * SHIFT bits, so has value certainly less than
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diff changeset
479 2**(2**64 * 2**16) == 2**2**80, and log2 of that is 2**80, which is
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diff changeset
480 small enough to fit in an IEEE single. log and log10 are even smaller.
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diff changeset
481 */
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482
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diff changeset
483 static PyObject*
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diff changeset
484 loghelper(PyObject* arg, double (*func)(double), char *funcname)
19713
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diff changeset
485 {
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diff changeset
486 /* If it is long, do it ourselves. */
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diff changeset
487 if (PyLong_Check(arg)) {
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diff changeset
488 double x;
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diff changeset
489 int e;
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diff changeset
490 x = _PyLong_AsScaledDouble(arg, &e);
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diff changeset
491 if (x <= 0.0) {
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diff changeset
492 PyErr_SetString(PyExc_ValueError,
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diff changeset
493 "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
494 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
495 }
44999
7c02182e2979 Merged revisions 60284-60349 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44943
diff changeset
496 /* 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
497 log(x) + log(2) * e * PyLong_SHIFT.
7c02182e2979 Merged revisions 60284-60349 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44943
diff changeset
498 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
499 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
500 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
501 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
502 }
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
503
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
504 /* Else let libm handle it by itself. */
46477
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
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parents: 45134
diff changeset
505 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
506 }
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
507
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
508 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
509 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
510 {
26661
b12e326b4ea2 Apply SF patch 652930: Add optional base argument to math.log(x[, base]).
Raymond Hettinger <python@rcn.com>
parents: 24471
diff changeset
511 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
512 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
513 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
514 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
515
26818
e094a03a80ff SF patch #659536: Use PyArg_UnpackTuple where possible.
Raymond Hettinger <python@rcn.com>
parents: 26661
diff changeset
516 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
517 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
518
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
519 num = loghelper(arg, log, "log");
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
520 if (num == NULL || base == NULL)
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
521 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
522
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
523 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
524 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
525 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
526 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
527 }
b12e326b4ea2 Apply SF patch 652930: Add optional base argument to math.log(x[, base]).
Raymond Hettinger <python@rcn.com>
parents: 24471
diff changeset
528
37191
4bfe8afe8f65 Get rid of remnants of integer division
Neal Norwitz <nnorwitz@gmail.com>
parents: 36324
diff changeset
529 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
530 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
531 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
532 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
533 }
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
534
23832
ed1ba37a46b7 Patch #568124: Add doc string macros.
Martin v. Löwis <martin@v.loewis.de>
parents: 23427
diff changeset
535 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
536 "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
537 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
538
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
539 static PyObject *
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
540 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
541 {
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
542 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
543 }
9433dd3c197e Return reasonable results for math.log(long) and math.log10(long) (we were
Tim Peters <tim.peters@gmail.com>
parents: 19712
diff changeset
544
23832
ed1ba37a46b7 Patch #568124: Add doc string macros.
Martin v. Löwis <martin@v.loewis.de>
parents: 23427
diff changeset
545 PyDoc_STRVAR(math_log10_doc,
ed1ba37a46b7 Patch #568124: Add doc string macros.
Martin v. Löwis <martin@v.loewis.de>
parents: 23427
diff changeset
546 "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
547
46477
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
548 static PyObject *
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
549 math_fmod(PyObject *self, PyObject *args)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
550 {
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
551 PyObject *ox, *oy;
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
552 double r, x, y;
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
553 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
554 return NULL;
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
555 x = PyFloat_AsDouble(ox);
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
556 y = PyFloat_AsDouble(oy);
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
557 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
558 return NULL;
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
559 /* 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
560 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
561 return PyFloat_FromDouble(x);
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
562 errno = 0;
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
563 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
564 r = fmod(x, y);
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
565 PyFPE_END_PROTECT(r);
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
566 if (Py_IS_NAN(r)) {
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
567 if (!Py_IS_NAN(x) && !Py_IS_NAN(y))
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
568 errno = EDOM;
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
569 else
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
570 errno = 0;
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
571 }
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
572 if (errno && is_error(r))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
573 return NULL;
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
574 else
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
575 return PyFloat_FromDouble(r);
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
576 }
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
577
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
578 PyDoc_STRVAR(math_fmod_doc,
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
579 "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
580 " x % y may differ.");
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
581
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
582 static PyObject *
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
583 math_hypot(PyObject *self, PyObject *args)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
584 {
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
585 PyObject *ox, *oy;
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
586 double r, x, y;
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
587 if (! PyArg_UnpackTuple(args, "hypot", 2, 2, &ox, &oy))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
588 return NULL;
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
589 x = PyFloat_AsDouble(ox);
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
590 y = PyFloat_AsDouble(oy);
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
591 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
592 return NULL;
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
593 /* hypot(x, +/-Inf) returns Inf, even if x is a NaN. */
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
594 if (Py_IS_INFINITY(x))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
595 return PyFloat_FromDouble(fabs(x));
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
596 if (Py_IS_INFINITY(y))
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
597 return PyFloat_FromDouble(fabs(y));
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
598 errno = 0;
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
599 PyFPE_START_PROTECT("in math_hypot", return 0);
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
600 r = hypot(x, y);
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
601 PyFPE_END_PROTECT(r);
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
602 if (Py_IS_NAN(r)) {
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
603 if (!Py_IS_NAN(x) && !Py_IS_NAN(y))
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
604 errno = EDOM;
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
605 else
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
606 errno = 0;
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
607 }
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
608 else if (Py_IS_INFINITY(r)) {
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
609 if (Py_IS_FINITE(x) && Py_IS_FINITE(y))
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
610 errno = ERANGE;
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
611 else
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
612 errno = 0;
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
613 }
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
614 if (errno && is_error(r))
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
615 return NULL;
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Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
616 else
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parents: 45134
diff changeset
617 return PyFloat_FromDouble(r);
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parents: 45134
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618 }
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619
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620 PyDoc_STRVAR(math_hypot_doc,
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621 "hypot(x,y)\n\nReturn the Euclidean distance, sqrt(x*x + y*y).");
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622
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623 /* pow can't use math_2, but needs its own wrapper: the problem is
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624 that an infinite result can arise either as a result of overflow
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625 (in which case OverflowError should be raised) or as a result of
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626 e.g. 0.**-5. (for which ValueError needs to be raised.)
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627 */
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628
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629 static PyObject *
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630 math_pow(PyObject *self, PyObject *args)
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631 {
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632 PyObject *ox, *oy;
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633 double r, x, y;
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634 int odd_y;
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635
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636 if (! PyArg_UnpackTuple(args, "pow", 2, 2, &ox, &oy))
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637 return NULL;
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638 x = PyFloat_AsDouble(ox);
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639 y = PyFloat_AsDouble(oy);
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640 if ((x == -1.0 || y == -1.0) && PyErr_Occurred())
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641 return NULL;
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642
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643 /* deal directly with IEEE specials, to cope with problems on various
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644 platforms whose semantics don't exactly match C99 */
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645 if (!Py_IS_FINITE(x) || !Py_IS_FINITE(y)) {
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646 errno = 0;
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647 if (Py_IS_NAN(x))
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648 r = y == 0. ? 1. : x; /* NaN**0 = 1 */
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649 else if (Py_IS_NAN(y))
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650 r = x == 1. ? 1. : y; /* 1**NaN = 1 */
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651 else if (Py_IS_INFINITY(x)) {
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652 odd_y = Py_IS_FINITE(y) && fmod(fabs(y), 2.0) == 1.0;
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653 if (y > 0.)
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654 r = odd_y ? x : fabs(x);
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655 else if (y == 0.)
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656 r = 1.;
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657 else /* y < 0. */
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658 r = odd_y ? copysign(0., x) : 0.;
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659 }
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660 else if (Py_IS_INFINITY(y)) {
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661 if (fabs(x) == 1.0)
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662 r = 1.;
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663 else if (y > 0. && fabs(x) > 1.0)
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664 r = y;
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665 else if (y < 0. && fabs(x) < 1.0) {
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666 r = -y; /* result is +inf */
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667 if (x == 0.) /* 0**-inf: divide-by-zero */
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668 errno = EDOM;
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669 }
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670 else
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671 r = 0.;
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672 }
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673 }
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674 else {
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675 /* let libm handle finite**finite */
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676 errno = 0;
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677 PyFPE_START_PROTECT("in math_pow", return 0);
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678 r = pow(x, y);
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679 PyFPE_END_PROTECT(r);
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680 /* a NaN result should arise only from (-ve)**(finite
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681 non-integer); in this case we want to raise ValueError. */
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682 if (!Py_IS_FINITE(r)) {
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683 if (Py_IS_NAN(r)) {
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684 errno = EDOM;
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685 }
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686 /*
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687 an infinite result here arises either from:
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688 (A) (+/-0.)**negative (-> divide-by-zero)
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689 (B) overflow of x**y with x and y finite
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690 */
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691 else if (Py_IS_INFINITY(r)) {
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692 if (x == 0.)
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693 errno = EDOM;
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694 else
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695 errno = ERANGE;
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696 }
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697 }
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698 }
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699
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700 if (errno && is_error(r))
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701 return NULL;
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702 else
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703 return PyFloat_FromDouble(r);
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704 }
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705
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706 PyDoc_STRVAR(math_pow_doc,
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707 "pow(x,y)\n\nReturn x**y (x to the power of y).");
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708
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709 static const double degToRad = Py_MATH_PI / 180.0;
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710 static const double radToDeg = 180.0 / Py_MATH_PI;
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711
a4d675b8b53c Added degrees() and radians() to mathmodule. Closes patch 552452 and
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712 static PyObject *
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713 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
714 {
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
715 double x = PyFloat_AsDouble(arg);
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
716 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
717 return NULL;
44441
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
718 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
719 }
a4d675b8b53c Added degrees() and radians() to mathmodule. Closes patch 552452 and
Raymond Hettinger <python@rcn.com>
parents: 19758
diff changeset
720
23832
ed1ba37a46b7 Patch #568124: Add doc string macros.
Martin v. Löwis <martin@v.loewis.de>
parents: 23427
diff changeset
721 PyDoc_STRVAR(math_degrees_doc,
ed1ba37a46b7 Patch #568124: Add doc string macros.
Martin v. Löwis <martin@v.loewis.de>
parents: 23427
diff changeset
722 "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
723
a4d675b8b53c Added degrees() and radians() to mathmodule. Closes patch 552452 and
Raymond Hettinger <python@rcn.com>
parents: 19758
diff changeset
724 static PyObject *
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
725 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
726 {
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
727 double x = PyFloat_AsDouble(arg);
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
728 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
729 return NULL;
a4d675b8b53c Added degrees() and radians() to mathmodule. Closes patch 552452 and
Raymond Hettinger <python@rcn.com>
parents: 19758
diff changeset
730 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
731 }
a4d675b8b53c Added degrees() and radians() to mathmodule. Closes patch 552452 and
Raymond Hettinger <python@rcn.com>
parents: 19758
diff changeset
732
23832
ed1ba37a46b7 Patch #568124: Add doc string macros.
Martin v. Löwis <martin@v.loewis.de>
parents: 23427
diff changeset
733 PyDoc_STRVAR(math_radians_doc,
ed1ba37a46b7 Patch #568124: Add doc string macros.
Martin v. Löwis <martin@v.loewis.de>
parents: 23427
diff changeset
734 "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
735
44441
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
736 static PyObject *
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
737 math_isnan(PyObject *self, PyObject *arg)
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
738 {
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
739 double x = PyFloat_AsDouble(arg);
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
740 if (x == -1.0 && PyErr_Occurred())
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
741 return NULL;
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
742 return PyBool_FromLong((long)Py_IS_NAN(x));
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
743 }
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
744
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
745 PyDoc_STRVAR(math_isnan_doc,
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
746 "isnan(x) -> bool\n\
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
747 Checks if float x is not a number (NaN)");
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
748
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
749 static PyObject *
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
750 math_isinf(PyObject *self, PyObject *arg)
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
751 {
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
752 double x = PyFloat_AsDouble(arg);
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
753 if (x == -1.0 && PyErr_Occurred())
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
754 return NULL;
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
755 return PyBool_FromLong((long)Py_IS_INFINITY(x));
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
756 }
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
757
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
758 PyDoc_STRVAR(math_isinf_doc,
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
759 "isinf(x) -> bool\n\
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
760 Checks if float x is infinite (positive or negative)");
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
761
4635
49745ddb4f69 Renamed
Barry Warsaw <barry@python.org>
parents: 4503
diff changeset
762 static PyMethodDef math_methods[] = {
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
763 {"acos", math_acos, METH_O, math_acos_doc},
46477
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
764 {"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
765 {"asin", math_asin, METH_O, math_asin_doc},
46477
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
766 {"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
767 {"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
768 {"atan2", math_atan2, METH_VARARGS, math_atan2_doc},
46477
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
769 {"atanh", math_atanh, METH_O, math_atanh_doc},
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
770 {"ceil", math_ceil, METH_O, math_ceil_doc},
44441
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
771 {"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
772 {"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
773 {"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
774 {"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
775 {"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
776 {"fabs", math_fabs, METH_O, math_fabs_doc},
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
777 {"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
778 {"fmod", math_fmod, METH_VARARGS, math_fmod_doc},
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
779 {"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
780 {"hypot", math_hypot, METH_VARARGS, math_hypot_doc},
44441
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
781 {"isinf", math_isinf, METH_O, math_isinf_doc},
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44351
diff changeset
782 {"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
783 {"ldexp", math_ldexp, METH_VARARGS, math_ldexp_doc},
24717405dd89 ANSI-fication, remove Py_PROTO, etc.
Fred Drake <fdrake@acm.org>
parents: 13309
diff changeset
784 {"log", math_log, METH_VARARGS, math_log_doc},
46477
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
785 {"log1p", math_log1p, METH_O, math_log1p_doc},
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
786 {"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
787 {"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
788 {"pow", math_pow, METH_VARARGS, math_pow_doc},
40450
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
789 {"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
790 {"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
791 {"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
792 {"sqrt", math_sqrt, METH_O, math_sqrt_doc},
cc992d75d5b3 Four months of trunk changes (including a few releases...)
Thomas Wouters <thomas@python.org>
parents: 37191
diff changeset
793 {"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
794 {"tanh", math_tanh, METH_O, math_tanh_doc},
45082
d7540031b959 Merged revisions 60475-60479,60481-60488 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45029
diff changeset
795 {"trunc", math_trunc, METH_O, math_trunc_doc},
6
fc6fcd7df4f7 Initial revision
Guido van Rossum <guido@python.org>
parents:
diff changeset
796 {NULL, NULL} /* sentinel */
fc6fcd7df4f7 Initial revision
Guido van Rossum <guido@python.org>
parents:
diff changeset
797 };
fc6fcd7df4f7 Initial revision
Guido van Rossum <guido@python.org>
parents:
diff changeset
798
9593
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
Guido van Rossum <guido@python.org>
parents: 9588
diff changeset
799
23832
ed1ba37a46b7 Patch #568124: Add doc string macros.
Martin v. Löwis <martin@v.loewis.de>
parents: 23427
diff changeset
800 PyDoc_STRVAR(module_doc,
19712
b4521436e8f8 Mechanical fiddling to make this easier to work with in my editor.
Tim Peters <tim.peters@gmail.com>
parents: 19048
diff changeset
801 "This module is always available. It provides access to the\n"
23832
ed1ba37a46b7 Patch #568124: Add doc string macros.
Martin v. Löwis <martin@v.loewis.de>
parents: 23427
diff changeset
802 "mathematical functions defined by the C standard.");
9593
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
Guido van Rossum <guido@python.org>
parents: 9588
diff changeset
803
24471
f66b3a3509c7 Excise DL_EXPORT/DL_IMPORT from Modules/*. Required adding a prototype
Mark Hammond <mhammond@skippinet.com.au>
parents: 23832
diff changeset
804 PyMODINIT_FUNC
13651
8a063423e0b7 Bunch of minor ANSIfications: 'void initfunc()' -> 'void initfunc(void)',
Thomas Wouters <thomas@python.org>
parents: 13331
diff changeset
805 initmath(void)
6
fc6fcd7df4f7 Initial revision
Guido van Rossum <guido@python.org>
parents:
diff changeset
806 {
46477
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
807 PyObject *m;
19048
e282d6b2b758 Part of SF patch [#431848] mathmodule.c: doc strings & conversion, from
Tim Peters <tim.peters@gmail.com>
parents: 18066
diff changeset
808
9593
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
Guido van Rossum <guido@python.org>
parents: 9588
diff changeset
809 m = Py_InitModule3("math", math_methods, module_doc);
36324
1af7f719ed28 Check return result from Py_InitModule*(). This API can fail.
Neal Norwitz <nnorwitz@gmail.com>
parents: 34872
diff changeset
810 if (m == NULL)
1af7f719ed28 Check return result from Py_InitModule*(). This API can fail.
Neal Norwitz <nnorwitz@gmail.com>
parents: 34872
diff changeset
811 goto finally;
4752
7367fb107108 Better error checking in initmath().
Barry Warsaw <barry@python.org>
parents: 4635
diff changeset
812
46477
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
813 PyModule_AddObject(m, "pi", PyFloat_FromDouble(Py_MATH_PI));
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
814 PyModule_AddObject(m, "e", PyFloat_FromDouble(Py_MATH_E));
4752
7367fb107108 Better error checking in initmath().
Barry Warsaw <barry@python.org>
parents: 4635
diff changeset
815
46477
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45134
diff changeset
816 finally:
14346
5397fdf88ec2 Do the absolute minimal amount of modifications to eradicate
Barry Warsaw <barry@python.org>
parents: 13912
diff changeset
817 return;
6
fc6fcd7df4f7 Initial revision
Guido van Rossum <guido@python.org>
parents:
diff changeset
818 }