annotate Modules/mathmodule.c @ 15170:09c7ac188ce2 legacy-trunk

Stop raising OverflowError on underflows reported by libm (errno==ERANGE and libm result is 0). Cautiously add a few libm exception test cases: 1. That exp(-huge) returns 0 without exception. 2. That exp(+huge) triggers OverflowError. 3. That sqrt(-1) raises ValueError specifically (apparently under glibc linked with -lieee, it was raising OverflowError due to an accident of the way mathmodule.c's CHECK() macro happened to deal with Infs and NaNs under gcc).
author Tim Peters <tim.peters@gmail.com>
date Thu, 12 Oct 2000 06:10:25 +0000
parents 284508c653c7
children 2ed358446f2f
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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 #include "Python.h"
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4
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5 #ifndef _MSC_VER
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6 #ifndef __STDC__
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7 extern double fmod (double, double);
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8 extern double frexp (double, int *);
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9 extern double ldexp (double, int);
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10 extern double modf (double, double *);
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11 #endif /* __STDC__ */
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12 #endif /* _MSC_VER */
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13
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14
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15 #ifdef i860
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16 /* Cray APP has bogus definition of HUGE_VAL in <math.h> */
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17 #undef HUGE_VAL
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18 #endif
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19
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20 /* RED_FLAG 12-Oct-2000 Tim
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21 * What CHECK does if errno != 0 and x is a NaN is a platform-dependent crap
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22 * shoot. Most (but not all!) platforms will end up setting errno to ERANGE
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23 * then, but EDOM is probably better.
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24 */
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25 #ifdef HUGE_VAL
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26 #define CHECK(x) if (errno != 0) ; \
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27 else if (-HUGE_VAL <= (x) && (x) <= HUGE_VAL) ; \
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28 else errno = ERANGE
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29 #else
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30 #define CHECK(x) /* Don't know how to check */
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31 #endif
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32
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33 /* Call is_error when errno != 0, and where x is the result libm
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34 * returned. is_error will usually set up an exception and return
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35 * true (1), but may return false (0) without setting up an exception.
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36 */
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37 static int
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38 is_error(double x)
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39 {
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40 int result = 1; /* presumption of guilt */
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41 if (errno == EDOM)
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42 PyErr_SetString(PyExc_ValueError, "math domain error");
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43 else if (errno == ERANGE) {
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44 /* ANSI C generally requires libm functions to set ERANGE
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45 * on overflow, but also generally *allows* them to set
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46 * ERANGE on underflow too. There's no consistency about
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47 * the latter across platforms. Here we suppress the
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48 * underflow errors (libm functions should return a zero
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49 * on underflow, and +- HUGE_VAL on overflow, so testing
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50 * the result for zero suffices to distinguish the cases).
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51 */
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52 if (x)
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53 PyErr_SetString(PyExc_OverflowError,
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54 "math range error");
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55 else
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56 result = 0;
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57 }
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58 else
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59 /* Unexpected math error */
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60 PyErr_SetFromErrno(PyExc_ValueError);
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61 return result;
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62 }
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63
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64 static PyObject *
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65 math_1(PyObject *args, double (*func) (double), char *argsfmt)
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66 {
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67 double x;
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68 if (! PyArg_ParseTuple(args, argsfmt, &x))
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69 return NULL;
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70 errno = 0;
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71 PyFPE_START_PROTECT("in math_1", return 0)
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72 x = (*func)(x);
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73 PyFPE_END_PROTECT(x)
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74 CHECK(x);
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75 if (errno && is_error(x))
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76 return NULL;
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77 else
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78 return PyFloat_FromDouble(x);
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79 }
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80
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81 static PyObject *
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82 math_2(PyObject *args, double (*func) (double, double), char *argsfmt)
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83 {
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84 double x, y;
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85 if (! PyArg_ParseTuple(args, argsfmt, &x, &y))
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86 return NULL;
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87 errno = 0;
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88 PyFPE_START_PROTECT("in math_2", return 0)
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89 x = (*func)(x, y);
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90 PyFPE_END_PROTECT(x)
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91 CHECK(x);
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92 if (errno && is_error(x))
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93 return NULL;
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94 else
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95 return PyFloat_FromDouble(x);
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96 }
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97
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98 #define FUNC1(funcname, func, docstring) \
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99 static PyObject * math_##funcname(PyObject *self, PyObject *args) { \
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100 return math_1(args, func, "d:" #funcname); \
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101 }\
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102 static char math_##funcname##_doc [] = docstring;
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103
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104 #define FUNC2(funcname, func, docstring) \
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105 static PyObject * math_##funcname(PyObject *self, PyObject *args) { \
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106 return math_2(args, func, "dd:" #funcname); \
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107 }\
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108 static char math_##funcname##_doc [] = docstring;
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109
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110 FUNC1(acos, acos,
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111 "acos(x)\n\nReturn the arc cosine of x.")
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112 FUNC1(asin, asin,
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113 "asin(x)\n\nReturn the arc sine of x.")
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114 FUNC1(atan, atan,
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115 "atan(x)\n\nReturn the arc tangent of x.")
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116 FUNC2(atan2, atan2,
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117 "atan2(y, x)\n\nReturn atan(y/x).")
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118 FUNC1(ceil, ceil,
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119 "ceil(x)\n\nReturn the ceiling of x as a real.")
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120 FUNC1(cos, cos,
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121 "cos(x)\n\nReturn the cosine of x.")
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122 FUNC1(cosh, cosh,
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123 "cosh(x)\n\nReturn the hyperbolic cosine of x.")
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124 FUNC1(exp, exp,
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125 "exp(x)\n\nReturn e raised to the power of x.")
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126 FUNC1(fabs, fabs,
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127 "fabs(x)\n\nReturn the absolute value of the real x.")
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128 FUNC1(floor, floor,
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129 "floor(x)\n\nReturn the floor of x as a real.")
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130 FUNC2(fmod, fmod,
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131 "fmod(x,y)\n\nReturn fmod(x, y), according to platform C."
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132 " x % y may differ.")
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133 FUNC2(hypot, hypot,
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134 "hypot(x,y)\n\nReturn the Euclidean distance, sqrt(x*x + y*y).")
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135 FUNC1(log, log,
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136 "log(x)\n\nReturn the natural logarithm of x.")
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137 FUNC1(log10, log10,
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138 "log10(x)\n\nReturn the base-10 logarithm of x.")
320
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139 #ifdef MPW_3_1 /* This hack is needed for MPW 3.1 but not for 3.2 ... */
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140 FUNC2(pow, power,
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141 "pow(x,y)\n\nReturn x**y.")
289
c4c278c56e90 Apparently MPW has power() instead of pow().
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diff changeset
142 #else
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143 FUNC2(pow, pow,
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144 "pow(x,y)\n\nReturn x**y.")
289
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diff changeset
145 #endif
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146 FUNC1(sin, sin,
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diff changeset
147 "sin(x)\n\nReturn the sine of x.")
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148 FUNC1(sinh, sinh,
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149 "sinh(x)\n\nReturn the hyperbolic sine of x.")
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150 FUNC1(sqrt, sqrt,
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151 "sqrt(x)\n\nReturn the square root of x.")
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152 FUNC1(tan, tan,
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153 "tan(x)\n\nReturn the tangent of x.")
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154 FUNC1(tanh, tanh,
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155 "tanh(x)\n\nReturn the hyperbolic tangent of x.")
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156
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157
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158 static PyObject *
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159 math_frexp(PyObject *self, PyObject *args)
407
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160 {
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161 double x;
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162 int i;
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163 if (! PyArg_ParseTuple(args, "d:frexp", &x))
407
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164 return NULL;
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165 errno = 0;
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166 x = frexp(x, &i);
498
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167 CHECK(x);
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168 if (errno && is_error(x))
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169 return NULL;
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170 else
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171 return Py_BuildValue("(di)", x, i);
407
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172 }
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173
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174 static char math_frexp_doc [] =
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diff changeset
175 "frexp(x)\n\
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176 \n\
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177 Return the mantissa and exponent of x, as pair (m, e).\n\
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178 m is a float and e is an int, such that x = m * 2.**e.\n\
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179 If x is 0, m and e are both 0. Else 0.5 <= abs(m) < 1.0.";
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180
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181
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182 static PyObject *
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183 math_ldexp(PyObject *self, PyObject *args)
407
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184 {
12618
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185 double x;
cc4350b1b91f Trent Mick:
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186 int exp;
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187 if (! PyArg_ParseTuple(args, "di:ldexp", &x, &exp))
407
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188 return NULL;
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189 errno = 0;
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190 PyFPE_START_PROTECT("ldexp", return 0)
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191 x = ldexp(x, exp);
5197
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192 PyFPE_END_PROTECT(x)
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193 CHECK(x);
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194 if (errno && is_error(x))
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195 return NULL;
407
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196 else
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197 return PyFloat_FromDouble(x);
407
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198 }
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199
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200 static char math_ldexp_doc [] =
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diff changeset
201 "ldexp_doc(x, i)\n\
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202 \n\
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203 Return x * (2**i).";
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204
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205
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206 static PyObject *
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207 math_modf(PyObject *self, PyObject *args)
407
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diff changeset
208 {
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209 double x, y;
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210 if (! PyArg_ParseTuple(args, "d:modf", &x))
407
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diff changeset
211 return NULL;
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diff changeset
212 errno = 0;
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213 #ifdef MPW /* MPW C modf expects pointer to extended as second argument */
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214 {
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diff changeset
215 extended e;
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diff changeset
216 x = modf(x, &e);
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diff changeset
217 y = e;
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diff changeset
218 }
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diff changeset
219 #else
407
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diff changeset
220 x = modf(x, &y);
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diff changeset
221 #endif
498
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diff changeset
222 CHECK(x);
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223 if (errno && is_error(x))
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224 return NULL;
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diff changeset
225 else
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226 return Py_BuildValue("(dd)", x, y);
407
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diff changeset
227 }
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228
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229 static char math_modf_doc [] =
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diff changeset
230 "modf(x)\n\
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diff changeset
231 \n\
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diff changeset
232 Return the fractional and integer parts of x. Both results carry the sign\n\
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
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parents: 9588
diff changeset
233 of x. The integer part is returned as a real.";
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diff changeset
234
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
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diff changeset
235
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diff changeset
236 static PyMethodDef math_methods[] = {
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diff changeset
237 {"acos", math_acos, METH_VARARGS, math_acos_doc},
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diff changeset
238 {"asin", math_asin, METH_VARARGS, math_asin_doc},
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diff changeset
239 {"atan", math_atan, METH_VARARGS, math_atan_doc},
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diff changeset
240 {"atan2", math_atan2, METH_VARARGS, math_atan2_doc},
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diff changeset
241 {"ceil", math_ceil, METH_VARARGS, math_ceil_doc},
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diff changeset
242 {"cos", math_cos, METH_VARARGS, math_cos_doc},
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diff changeset
243 {"cosh", math_cosh, METH_VARARGS, math_cosh_doc},
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diff changeset
244 {"exp", math_exp, METH_VARARGS, math_exp_doc},
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diff changeset
245 {"fabs", math_fabs, METH_VARARGS, math_fabs_doc},
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Fred Drake <fdrake@acm.org>
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diff changeset
246 {"floor", math_floor, METH_VARARGS, math_floor_doc},
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Fred Drake <fdrake@acm.org>
parents: 13309
diff changeset
247 {"fmod", math_fmod, METH_VARARGS, math_fmod_doc},
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diff changeset
248 {"frexp", math_frexp, METH_VARARGS, math_frexp_doc},
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diff changeset
249 {"hypot", math_hypot, METH_VARARGS, math_hypot_doc},
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diff changeset
250 {"ldexp", math_ldexp, METH_VARARGS, math_ldexp_doc},
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parents: 13309
diff changeset
251 {"log", math_log, METH_VARARGS, math_log_doc},
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parents: 13309
diff changeset
252 {"log10", math_log10, METH_VARARGS, math_log10_doc},
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Fred Drake <fdrake@acm.org>
parents: 13309
diff changeset
253 {"modf", math_modf, METH_VARARGS, math_modf_doc},
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diff changeset
254 {"pow", math_pow, METH_VARARGS, math_pow_doc},
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diff changeset
255 {"sin", math_sin, METH_VARARGS, math_sin_doc},
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diff changeset
256 {"sinh", math_sinh, METH_VARARGS, math_sinh_doc},
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parents: 13309
diff changeset
257 {"sqrt", math_sqrt, METH_VARARGS, math_sqrt_doc},
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diff changeset
258 {"tan", math_tan, METH_VARARGS, math_tan_doc},
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diff changeset
259 {"tanh", math_tanh, METH_VARARGS, math_tanh_doc},
6
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diff changeset
260 {NULL, NULL} /* sentinel */
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parents:
diff changeset
261 };
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262
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diff changeset
263
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
Guido van Rossum <guido@python.org>
parents: 9588
diff changeset
264 static char module_doc [] =
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
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parents: 9588
diff changeset
265 "This module is always available. It provides access to the\n\
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
Guido van Rossum <guido@python.org>
parents: 9588
diff changeset
266 mathematical functions defined by the C standard.";
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
Guido van Rossum <guido@python.org>
parents: 9588
diff changeset
267
9588
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Guido van Rossum <guido@python.org>
parents: 5554
diff changeset
268 DL_EXPORT(void)
13651
8a063423e0b7 Bunch of minor ANSIfications: 'void initfunc()' -> 'void initfunc(void)',
Thomas Wouters <thomas@python.org>
parents: 13331
diff changeset
269 initmath(void)
6
fc6fcd7df4f7 Initial revision
Guido van Rossum <guido@python.org>
parents:
diff changeset
270 {
4635
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parents: 4503
diff changeset
271 PyObject *m, *d, *v;
42
4835c2d38b84 Take out duplication of code in initmodule().
Guido van Rossum <guido@python.org>
parents: 6
diff changeset
272
9593
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diff changeset
273 m = Py_InitModule3("math", math_methods, module_doc);
4635
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parents: 4503
diff changeset
274 d = PyModule_GetDict(m);
4752
7367fb107108 Better error checking in initmath().
Barry Warsaw <barry@python.org>
parents: 4635
diff changeset
275
7367fb107108 Better error checking in initmath().
Barry Warsaw <barry@python.org>
parents: 4635
diff changeset
276 if (!(v = PyFloat_FromDouble(atan(1.0) * 4.0)))
7367fb107108 Better error checking in initmath().
Barry Warsaw <barry@python.org>
parents: 4635
diff changeset
277 goto finally;
7367fb107108 Better error checking in initmath().
Barry Warsaw <barry@python.org>
parents: 4635
diff changeset
278 if (PyDict_SetItemString(d, "pi", v) < 0)
7367fb107108 Better error checking in initmath().
Barry Warsaw <barry@python.org>
parents: 4635
diff changeset
279 goto finally;
4635
49745ddb4f69 Renamed
Barry Warsaw <barry@python.org>
parents: 4503
diff changeset
280 Py_DECREF(v);
4752
7367fb107108 Better error checking in initmath().
Barry Warsaw <barry@python.org>
parents: 4635
diff changeset
281
7367fb107108 Better error checking in initmath().
Barry Warsaw <barry@python.org>
parents: 4635
diff changeset
282 if (!(v = PyFloat_FromDouble(exp(1.0))))
7367fb107108 Better error checking in initmath().
Barry Warsaw <barry@python.org>
parents: 4635
diff changeset
283 goto finally;
4765
f8b36c0ec114 Correct 1-char typo / syntax error.
Guido van Rossum <guido@python.org>
parents: 4752
diff changeset
284 if (PyDict_SetItemString(d, "e", v) < 0)
4752
7367fb107108 Better error checking in initmath().
Barry Warsaw <barry@python.org>
parents: 4635
diff changeset
285 goto finally;
4635
49745ddb4f69 Renamed
Barry Warsaw <barry@python.org>
parents: 4503
diff changeset
286 Py_DECREF(v);
4752
7367fb107108 Better error checking in initmath().
Barry Warsaw <barry@python.org>
parents: 4635
diff changeset
287
7367fb107108 Better error checking in initmath().
Barry Warsaw <barry@python.org>
parents: 4635
diff changeset
288 finally:
14346
5397fdf88ec2 Do the absolute minimal amount of modifications to eradicate
Barry Warsaw <barry@python.org>
parents: 13912
diff changeset
289 return;
6
fc6fcd7df4f7 Initial revision
Guido van Rossum <guido@python.org>
parents:
diff changeset
290 }