annotate Modules/cmathmodule.c @ 19283:b865cd5c1925 legacy-trunk

Added comments before recently added/assigned slots in the type object, so the backward compatibility issues will be easier to understand. I only added comments indicating additions and assignments back to Python 2.0.
author Fred Drake <fdrake@acm.org>
date Wed, 15 Aug 2001 18:32:33 +0000
parents 844fde600a61
children 2e6da2dd2ab8
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1 /* Complex math module */
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2
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3 /* much code borrowed from mathmodule.c */
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4
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5 #include "Python.h"
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6
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7 #ifdef i860
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8 /* Cray APP has bogus definition of HUGE_VAL in <math.h> */
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9 #undef HUGE_VAL
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10 #endif
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11
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12 #ifdef HUGE_VAL
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13 #define CHECK(x) if (errno != 0) ; \
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14 else if (-HUGE_VAL <= (x) && (x) <= HUGE_VAL) ; \
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15 else errno = ERANGE
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16 #else
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17 #define CHECK(x) /* Don't know how to check */
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18 #endif
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19
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20 #ifndef M_PI
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21 #define M_PI (3.141592653589793239)
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22 #endif
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23
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24 /* First, the C functions that do the real work */
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25
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26 /* constants */
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27 static Py_complex c_one = {1., 0.};
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28 static Py_complex c_half = {0.5, 0.};
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29 static Py_complex c_i = {0., 1.};
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30 static Py_complex c_halfi = {0., 0.5};
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31
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32 /* forward declarations */
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33 staticforward Py_complex c_log(Py_complex);
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34 staticforward Py_complex c_prodi(Py_complex);
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35 staticforward Py_complex c_sqrt(Py_complex);
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36
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37
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38 static Py_complex
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39 c_acos(Py_complex x)
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40 {
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41 return c_neg(c_prodi(c_log(c_sum(x,c_prod(c_i,
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42 c_sqrt(c_diff(c_one,c_prod(x,x))))))));
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43 }
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44
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45 static char c_acos_doc[] =
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46 "acos(x)\n"
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47 "\n"
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48 "Return the arc cosine of x.";
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49
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50
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51 static Py_complex
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52 c_acosh(Py_complex x)
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53 {
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54 Py_complex z;
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55 z = c_sqrt(c_half);
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56 z = c_log(c_prod(z, c_sum(c_sqrt(c_sum(x,c_one)),
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57 c_sqrt(c_diff(x,c_one)))));
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58 return c_sum(z, z);
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59 }
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60
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61 static char c_acosh_doc[] =
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62 "acosh(x)\n"
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63 "\n"
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64 "Return the hyperbolic arccosine of x.";
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65
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66
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67 static Py_complex
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68 c_asin(Py_complex x)
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69 {
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70 /* -i * log[(sqrt(1-x**2) + i*x] */
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71 const Py_complex squared = c_prod(x, x);
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72 const Py_complex sqrt_1_minus_x_sq = c_sqrt(c_diff(c_one, squared));
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73 return c_neg(c_prodi(c_log(
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74 c_sum(sqrt_1_minus_x_sq, c_prodi(x))
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75 ) ) );
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76 }
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77
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78 static char c_asin_doc[] =
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79 "asin(x)\n"
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80 "\n"
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81 "Return the arc sine of x.";
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82
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83
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84 static Py_complex
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85 c_asinh(Py_complex x)
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86 {
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87 Py_complex z;
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88 z = c_sqrt(c_half);
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89 z = c_log(c_prod(z, c_sum(c_sqrt(c_sum(x, c_i)),
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90 c_sqrt(c_diff(x, c_i)))));
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91 return c_sum(z, z);
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92 }
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93
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94 static char c_asinh_doc[] =
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95 "asinh(x)\n"
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96 "\n"
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97 "Return the hyperbolic arc sine of x.";
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98
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99
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100 static Py_complex
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101 c_atan(Py_complex x)
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102 {
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103 return c_prod(c_halfi,c_log(c_quot(c_sum(c_i,x),c_diff(c_i,x))));
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104 }
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105
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106 static char c_atan_doc[] =
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107 "atan(x)\n"
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108 "\n"
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109 "Return the arc tangent of x.";
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110
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111
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112 static Py_complex
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113 c_atanh(Py_complex x)
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114 {
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115 return c_prod(c_half,c_log(c_quot(c_sum(c_one,x),c_diff(c_one,x))));
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116 }
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117
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118 static char c_atanh_doc[] =
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119 "atanh(x)\n"
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120 "\n"
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121 "Return the hyperbolic arc tangent of x.";
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122
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123
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124 static Py_complex
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125 c_cos(Py_complex x)
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126 {
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127 Py_complex r;
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128 r.real = cos(x.real)*cosh(x.imag);
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129 r.imag = -sin(x.real)*sinh(x.imag);
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130 return r;
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131 }
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132
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133 static char c_cos_doc[] =
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134 "cos(x)\n"
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135 "n"
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136 "Return the cosine of x.";
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137
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138
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139 static Py_complex
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140 c_cosh(Py_complex x)
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141 {
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142 Py_complex r;
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143 r.real = cos(x.imag)*cosh(x.real);
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144 r.imag = sin(x.imag)*sinh(x.real);
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145 return r;
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146 }
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147
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148 static char c_cosh_doc[] =
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149 "cosh(x)\n"
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150 "n"
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151 "Return the hyperbolic cosine of x.";
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152
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153
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9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
154 static Py_complex
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
155 c_exp(Py_complex x)
3334
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
156 {
3771
d0988318b756 complex -> Py_complex
Guido van Rossum <guido@python.org>
parents: 3615
diff changeset
157 Py_complex r;
3334
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Guido van Rossum <guido@python.org>
parents:
diff changeset
158 double l = exp(x.real);
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
159 r.real = l*cos(x.imag);
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
160 r.imag = l*sin(x.imag);
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
161 return r;
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
162 }
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
163
16707
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
164 static char c_exp_doc[] =
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
165 "exp(x)\n"
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
166 "\n"
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
167 "Return the exponential value e**x.";
9593
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
Guido van Rossum <guido@python.org>
parents: 9588
diff changeset
168
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
Guido van Rossum <guido@python.org>
parents: 9588
diff changeset
169
16707
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
170 static Py_complex
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
171 c_log(Py_complex x)
3334
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
172 {
3771
d0988318b756 complex -> Py_complex
Guido van Rossum <guido@python.org>
parents: 3615
diff changeset
173 Py_complex r;
3334
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Guido van Rossum <guido@python.org>
parents:
diff changeset
174 double l = hypot(x.real,x.imag);
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
175 r.imag = atan2(x.imag, x.real);
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
176 r.real = log(l);
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
177 return r;
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
178 }
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
179
16707
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Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
180 static char c_log_doc[] =
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
181 "log(x)\n"
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
182 "\n"
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
183 "Return the natural logarithm of x.";
9593
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
Guido van Rossum <guido@python.org>
parents: 9588
diff changeset
184
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
Guido van Rossum <guido@python.org>
parents: 9588
diff changeset
185
16707
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
186 static Py_complex
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
187 c_log10(Py_complex x)
3334
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
188 {
3771
d0988318b756 complex -> Py_complex
Guido van Rossum <guido@python.org>
parents: 3615
diff changeset
189 Py_complex r;
3334
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Guido van Rossum <guido@python.org>
parents:
diff changeset
190 double l = hypot(x.real,x.imag);
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
191 r.imag = atan2(x.imag, x.real)/log(10.);
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
192 r.real = log10(l);
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
193 return r;
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
194 }
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
195
16707
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
196 static char c_log10_doc[] =
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
197 "log10(x)\n"
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
198 "\n"
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
199 "Return the base-10 logarithm of x.";
9593
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
Guido van Rossum <guido@python.org>
parents: 9588
diff changeset
200
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
Guido van Rossum <guido@python.org>
parents: 9588
diff changeset
201
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
Guido van Rossum <guido@python.org>
parents: 9588
diff changeset
202 /* internal function not available from Python */
16707
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Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
203 static Py_complex
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
204 c_prodi(Py_complex x)
3334
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
205 {
3771
d0988318b756 complex -> Py_complex
Guido van Rossum <guido@python.org>
parents: 3615
diff changeset
206 Py_complex r;
3334
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
207 r.real = -x.imag;
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
208 r.imag = x.real;
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
209 return r;
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
210 }
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
211
9593
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
Guido van Rossum <guido@python.org>
parents: 9588
diff changeset
212
16707
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
213 static Py_complex
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
214 c_sin(Py_complex x)
3334
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
215 {
3771
d0988318b756 complex -> Py_complex
Guido van Rossum <guido@python.org>
parents: 3615
diff changeset
216 Py_complex r;
16707
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
217 r.real = sin(x.real) * cosh(x.imag);
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
218 r.imag = cos(x.real) * sinh(x.imag);
3334
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
219 return r;
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
220 }
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
221
16707
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
222 static char c_sin_doc[] =
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
223 "sin(x)\n"
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
224 "\n"
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
225 "Return the sine of x.";
9593
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
Guido van Rossum <guido@python.org>
parents: 9588
diff changeset
226
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
Guido van Rossum <guido@python.org>
parents: 9588
diff changeset
227
16707
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
228 static Py_complex
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
229 c_sinh(Py_complex x)
3334
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
230 {
3771
d0988318b756 complex -> Py_complex
Guido van Rossum <guido@python.org>
parents: 3615
diff changeset
231 Py_complex r;
16707
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
232 r.real = cos(x.imag) * sinh(x.real);
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
233 r.imag = sin(x.imag) * cosh(x.real);
3334
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
234 return r;
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
235 }
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
236
16707
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
237 static char c_sinh_doc[] =
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
238 "sinh(x)\n"
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
239 "\n"
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
240 "Return the hyperbolic sine of x.";
9593
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
Guido van Rossum <guido@python.org>
parents: 9588
diff changeset
241
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
Guido van Rossum <guido@python.org>
parents: 9588
diff changeset
242
16707
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
243 static Py_complex
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
244 c_sqrt(Py_complex x)
3334
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
245 {
3771
d0988318b756 complex -> Py_complex
Guido van Rossum <guido@python.org>
parents: 3615
diff changeset
246 Py_complex r;
3334
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
247 double s,d;
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
248 if (x.real == 0. && x.imag == 0.)
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
249 r = x;
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
250 else {
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
251 s = sqrt(0.5*(fabs(x.real) + hypot(x.real,x.imag)));
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
252 d = 0.5*x.imag/s;
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
253 if (x.real > 0.) {
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
254 r.real = s;
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
255 r.imag = d;
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
256 }
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
257 else if (x.imag >= 0.) {
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
258 r.real = d;
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
259 r.imag = s;
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
260 }
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
261 else {
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
262 r.real = -d;
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
263 r.imag = -s;
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
264 }
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
265 }
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
266 return r;
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
267 }
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
268
16707
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
269 static char c_sqrt_doc[] =
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
270 "sqrt(x)\n"
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
271 "\n"
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
272 "Return the square root of x.";
9593
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
Guido van Rossum <guido@python.org>
parents: 9588
diff changeset
273
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
Guido van Rossum <guido@python.org>
parents: 9588
diff changeset
274
16707
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
275 static Py_complex
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
276 c_tan(Py_complex x)
3334
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
277 {
3771
d0988318b756 complex -> Py_complex
Guido van Rossum <guido@python.org>
parents: 3615
diff changeset
278 Py_complex r;
3334
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
279 double sr,cr,shi,chi;
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
280 double rs,is,rc,ic;
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
281 double d;
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
282 sr = sin(x.real);
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
283 cr = cos(x.real);
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
284 shi = sinh(x.imag);
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
285 chi = cosh(x.imag);
16707
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
286 rs = sr * chi;
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
287 is = cr * shi;
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
288 rc = cr * chi;
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
289 ic = -sr * shi;
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
290 d = rc*rc + ic * ic;
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
291 r.real = (rs*rc + is*ic) / d;
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
292 r.imag = (is*rc - rs*ic) / d;
3334
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
293 return r;
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
294 }
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
295
16707
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
296 static char c_tan_doc[] =
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
297 "tan(x)\n"
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
298 "\n"
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
299 "Return the tangent of x.";
9593
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
Guido van Rossum <guido@python.org>
parents: 9588
diff changeset
300
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
Guido van Rossum <guido@python.org>
parents: 9588
diff changeset
301
16707
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
302 static Py_complex
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
303 c_tanh(Py_complex x)
3334
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
304 {
3771
d0988318b756 complex -> Py_complex
Guido van Rossum <guido@python.org>
parents: 3615
diff changeset
305 Py_complex r;
3334
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
306 double si,ci,shr,chr;
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
307 double rs,is,rc,ic;
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
308 double d;
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
309 si = sin(x.imag);
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
310 ci = cos(x.imag);
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
311 shr = sinh(x.real);
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
312 chr = cosh(x.real);
16707
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
313 rs = ci * shr;
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
314 is = si * chr;
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
315 rc = ci * chr;
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
316 ic = si * shr;
3334
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
317 d = rc*rc + ic*ic;
16707
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
318 r.real = (rs*rc + is*ic) / d;
9696c95d09b7 Mechanical edits just so I can read it.
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319 r.imag = (is*rc - rs*ic) / d;
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320 return r;
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321 }
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322
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323 static char c_tanh_doc[] =
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324 "tanh(x)\n"
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325 "\n"
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326 "Return the hyperbolic tangent of x.";
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327
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328
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329 /* And now the glue to make them available from Python: */
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330
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331 static PyObject *
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332 math_error(void)
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333 {
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334 if (errno == EDOM)
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335 PyErr_SetString(PyExc_ValueError, "math domain error");
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336 else if (errno == ERANGE)
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337 PyErr_SetString(PyExc_OverflowError, "math range error");
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338 else /* Unexpected math error */
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339 PyErr_SetFromErrno(PyExc_ValueError);
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340 return NULL;
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341 }
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342
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343 static PyObject *
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344 math_1(PyObject *args, Py_complex (*func)(Py_complex))
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345 {
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346 Py_complex x;
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347 if (!PyArg_ParseTuple(args, "D", &x))
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348 return NULL;
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349 errno = 0;
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350 PyFPE_START_PROTECT("complex function", return 0)
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351 x = (*func)(x);
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74c12704a0bd New form of PyFPE_END_PROTECT macro.
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352 PyFPE_END_PROTECT(x)
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353 CHECK(x.real);
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354 CHECK(x.imag);
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355 if (errno != 0)
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356 return math_error();
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357 else
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358 return PyComplex_FromCComplex(x);
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359 }
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Guido van Rossum <guido@python.org>
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360
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361 #define FUNC1(stubname, func) \
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8bacf8631a11 ANSI-fication
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362 static PyObject * stubname(PyObject *self, PyObject *args) { \
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363 return math_1(args, func); \
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364 }
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Guido van Rossum <guido@python.org>
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365
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366 FUNC1(cmath_acos, c_acos)
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367 FUNC1(cmath_acosh, c_acosh)
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368 FUNC1(cmath_asin, c_asin)
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369 FUNC1(cmath_asinh, c_asinh)
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370 FUNC1(cmath_atan, c_atan)
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371 FUNC1(cmath_atanh, c_atanh)
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Guido van Rossum <guido@python.org>
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372 FUNC1(cmath_cos, c_cos)
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Guido van Rossum <guido@python.org>
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373 FUNC1(cmath_cosh, c_cosh)
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Guido van Rossum <guido@python.org>
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374 FUNC1(cmath_exp, c_exp)
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Guido van Rossum <guido@python.org>
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375 FUNC1(cmath_log, c_log)
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Guido van Rossum <guido@python.org>
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376 FUNC1(cmath_log10, c_log10)
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Guido van Rossum <guido@python.org>
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377 FUNC1(cmath_sin, c_sin)
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Guido van Rossum <guido@python.org>
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378 FUNC1(cmath_sinh, c_sinh)
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Guido van Rossum <guido@python.org>
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379 FUNC1(cmath_sqrt, c_sqrt)
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Guido van Rossum <guido@python.org>
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380 FUNC1(cmath_tan, c_tan)
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Guido van Rossum <guido@python.org>
parents:
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381 FUNC1(cmath_tanh, c_tanh)
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Guido van Rossum <guido@python.org>
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382
969bd911e114 complex math
Guido van Rossum <guido@python.org>
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383
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Tim Peters <tim.peters@gmail.com>
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384 static char module_doc[] =
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
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385 "This module is always available. It provides access to mathematical\n"
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
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386 "functions for complex numbers.";
9593
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Guido van Rossum <guido@python.org>
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diff changeset
387
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Roger E. Masse <rmasse@newcnri.cnri.reston.va.us>
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diff changeset
388 static PyMethodDef cmath_methods[] = {
16707
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Tim Peters <tim.peters@gmail.com>
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389 {"acos", cmath_acos, METH_VARARGS, c_acos_doc},
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
390 {"acosh", cmath_acosh, METH_VARARGS, c_acosh_doc},
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Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
391 {"asin", cmath_asin, METH_VARARGS, c_asin_doc},
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
392 {"asinh", cmath_asinh, METH_VARARGS, c_asinh_doc},
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
393 {"atan", cmath_atan, METH_VARARGS, c_atan_doc},
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
394 {"atanh", cmath_atanh, METH_VARARGS, c_atanh_doc},
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
395 {"cos", cmath_cos, METH_VARARGS, c_cos_doc},
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
396 {"cosh", cmath_cosh, METH_VARARGS, c_cosh_doc},
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
397 {"exp", cmath_exp, METH_VARARGS, c_exp_doc},
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
398 {"log", cmath_log, METH_VARARGS, c_log_doc},
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
399 {"log10", cmath_log10, METH_VARARGS, c_log10_doc},
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
400 {"sin", cmath_sin, METH_VARARGS, c_sin_doc},
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
401 {"sinh", cmath_sinh, METH_VARARGS, c_sinh_doc},
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
402 {"sqrt", cmath_sqrt, METH_VARARGS, c_sqrt_doc},
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
403 {"tan", cmath_tan, METH_VARARGS, c_tan_doc},
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
404 {"tanh", cmath_tanh, METH_VARARGS, c_tanh_doc},
3334
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Guido van Rossum <guido@python.org>
parents:
diff changeset
405 {NULL, NULL} /* sentinel */
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
406 };
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
407
9588
38023a425e48 Add DL_EXPORT() to all modules that could possibly be used
Guido van Rossum <guido@python.org>
parents: 5197
diff changeset
408 DL_EXPORT(void)
13651
8a063423e0b7 Bunch of minor ANSIfications: 'void initfunc()' -> 'void initfunc(void)',
Thomas Wouters <thomas@python.org>
parents: 13493
diff changeset
409 initcmath(void)
3334
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
410 {
4639
97ec9dfbb2b6 Renamed Grandly
Roger E. Masse <rmasse@newcnri.cnri.reston.va.us>
parents: 4600
diff changeset
411 PyObject *m, *d, *v;
16707
9696c95d09b7 Mechanical edits just so I can read it.
Tim Peters <tim.peters@gmail.com>
parents: 13817
diff changeset
412
9593
f22f769bf3d9 Added Doc strings -- by Chris Petrilli.
Guido van Rossum <guido@python.org>
parents: 9588
diff changeset
413 m = Py_InitModule3("cmath", cmath_methods, module_doc);
4639
97ec9dfbb2b6 Renamed Grandly
Roger E. Masse <rmasse@newcnri.cnri.reston.va.us>
parents: 4600
diff changeset
414 d = PyModule_GetDict(m);
97ec9dfbb2b6 Renamed Grandly
Roger E. Masse <rmasse@newcnri.cnri.reston.va.us>
parents: 4600
diff changeset
415 PyDict_SetItemString(d, "pi",
97ec9dfbb2b6 Renamed Grandly
Roger E. Masse <rmasse@newcnri.cnri.reston.va.us>
parents: 4600
diff changeset
416 v = PyFloat_FromDouble(atan(1.0) * 4.0));
97ec9dfbb2b6 Renamed Grandly
Roger E. Masse <rmasse@newcnri.cnri.reston.va.us>
parents: 4600
diff changeset
417 Py_DECREF(v);
97ec9dfbb2b6 Renamed Grandly
Roger E. Masse <rmasse@newcnri.cnri.reston.va.us>
parents: 4600
diff changeset
418 PyDict_SetItemString(d, "e", v = PyFloat_FromDouble(exp(1.0)));
97ec9dfbb2b6 Renamed Grandly
Roger E. Masse <rmasse@newcnri.cnri.reston.va.us>
parents: 4600
diff changeset
419 Py_DECREF(v);
3334
969bd911e114 complex math
Guido van Rossum <guido@python.org>
parents:
diff changeset
420 }