Mercurial > cpython-lru_cache-weakref
annotate Modules/cmathmodule.c @ 17581:c1937faabb23 2.1
Added support for optional explanation parameter to the \versionadded
macro.
Refactored do_cmd_versionadded() and do_cmd_versionchanged() to do most
of the work in a helper function, with the do_cmd_*() wrappers just supplying
a portion of the replacement text.
| author | Fred Drake <fdrake@acm.org> |
|---|---|
| date | Wed, 18 Apr 2001 17:29:14 +0000 |
| parents | 844fde600a61 |
| children | 2e6da2dd2ab8 |
| rev | line source |
|---|---|
| 3334 | 1 /* Complex math module */ |
| 2 | |
| 3 /* much code borrowed from mathmodule.c */ | |
| 4 | |
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5 #include "Python.h" |
| 3334 | 6 |
| 7 #ifdef i860 | |
| 8 /* Cray APP has bogus definition of HUGE_VAL in <math.h> */ | |
| 9 #undef HUGE_VAL | |
| 10 #endif | |
| 11 | |
| 12 #ifdef HUGE_VAL | |
| 13 #define CHECK(x) if (errno != 0) ; \ | |
| 14 else if (-HUGE_VAL <= (x) && (x) <= HUGE_VAL) ; \ | |
| 15 else errno = ERANGE | |
| 16 #else | |
| 17 #define CHECK(x) /* Don't know how to check */ | |
| 18 #endif | |
| 19 | |
| 20 #ifndef M_PI | |
| 21 #define M_PI (3.141592653589793239) | |
| 22 #endif | |
| 23 | |
| 24 /* First, the C functions that do the real work */ | |
| 25 | |
| 26 /* constants */ | |
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27 static Py_complex c_one = {1., 0.}; |
| 3771 | 28 static Py_complex c_half = {0.5, 0.}; |
| 29 static Py_complex c_i = {0., 1.}; | |
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30 static Py_complex c_halfi = {0., 0.5}; |
| 3334 | 31 |
| 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); |
| 3334 | 36 |
| 37 | |
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38 static Py_complex |
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39 c_acos(Py_complex x) |
| 3334 | 40 { |
| 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)))))))); |
| 3334 | 43 } |
| 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) |
| 3334 | 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); |
| 3334 | 59 } |
| 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) |
| 3334 | 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 ) ) ); |
| 3334 | 76 } |
| 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) |
| 3334 | 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); |
| 3334 | 92 } |
| 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) |
| 3334 | 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)))); |
| 3334 | 104 } |
| 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) |
| 3334 | 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)))); |
| 3334 | 116 } |
| 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) |
| 3334 | 126 { |
| 3771 | 127 Py_complex r; |
| 3334 | 128 r.real = cos(x.real)*cosh(x.imag); |
| 129 r.imag = -sin(x.real)*sinh(x.imag); | |
| 130 return r; | |
| 131 } | |
| 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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138 |
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139 static Py_complex |
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140 c_cosh(Py_complex x) |
| 3334 | 141 { |
| 3771 | 142 Py_complex r; |
| 3334 | 143 r.real = cos(x.imag)*cosh(x.real); |
| 144 r.imag = sin(x.imag)*sinh(x.real); | |
| 145 return r; | |
| 146 } | |
| 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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154 static Py_complex |
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155 c_exp(Py_complex x) |
| 3334 | 156 { |
| 3771 | 157 Py_complex r; |
| 3334 | 158 double l = exp(x.real); |
| 159 r.real = l*cos(x.imag); | |
| 160 r.imag = l*sin(x.imag); | |
| 161 return r; | |
| 162 } | |
| 163 | |
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164 static char c_exp_doc[] = |
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165 "exp(x)\n" |
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166 "\n" |
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167 "Return the exponential value e**x."; |
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168 |
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169 |
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170 static Py_complex |
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171 c_log(Py_complex x) |
| 3334 | 172 { |
| 3771 | 173 Py_complex r; |
| 3334 | 174 double l = hypot(x.real,x.imag); |
| 175 r.imag = atan2(x.imag, x.real); | |
| 176 r.real = log(l); | |
| 177 return r; | |
| 178 } | |
| 179 | |
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180 static char c_log_doc[] = |
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181 "log(x)\n" |
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182 "\n" |
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183 "Return the natural logarithm of x."; |
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184 |
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185 |
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186 static Py_complex |
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187 c_log10(Py_complex x) |
| 3334 | 188 { |
| 3771 | 189 Py_complex r; |
| 3334 | 190 double l = hypot(x.real,x.imag); |
| 191 r.imag = atan2(x.imag, x.real)/log(10.); | |
| 192 r.real = log10(l); | |
| 193 return r; | |
| 194 } | |
| 195 | |
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196 static char c_log10_doc[] = |
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197 "log10(x)\n" |
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198 "\n" |
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199 "Return the base-10 logarithm of x."; |
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200 |
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201 |
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202 /* internal function not available from Python */ |
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203 static Py_complex |
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204 c_prodi(Py_complex x) |
| 3334 | 205 { |
| 3771 | 206 Py_complex r; |
| 3334 | 207 r.real = -x.imag; |
| 208 r.imag = x.real; | |
| 209 return r; | |
| 210 } | |
| 211 | |
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212 |
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213 static Py_complex |
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214 c_sin(Py_complex x) |
| 3334 | 215 { |
| 3771 | 216 Py_complex r; |
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217 r.real = sin(x.real) * cosh(x.imag); |
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218 r.imag = cos(x.real) * sinh(x.imag); |
| 3334 | 219 return r; |
| 220 } | |
| 221 | |
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222 static char c_sin_doc[] = |
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223 "sin(x)\n" |
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224 "\n" |
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225 "Return the sine of x."; |
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226 |
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227 |
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228 static Py_complex |
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229 c_sinh(Py_complex x) |
| 3334 | 230 { |
| 3771 | 231 Py_complex r; |
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232 r.real = cos(x.imag) * sinh(x.real); |
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233 r.imag = sin(x.imag) * cosh(x.real); |
| 3334 | 234 return r; |
| 235 } | |
| 236 | |
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237 static char c_sinh_doc[] = |
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238 "sinh(x)\n" |
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239 "\n" |
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240 "Return the hyperbolic sine of x."; |
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241 |
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242 |
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243 static Py_complex |
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244 c_sqrt(Py_complex x) |
| 3334 | 245 { |
| 3771 | 246 Py_complex r; |
| 3334 | 247 double s,d; |
| 248 if (x.real == 0. && x.imag == 0.) | |
| 249 r = x; | |
| 250 else { | |
| 251 s = sqrt(0.5*(fabs(x.real) + hypot(x.real,x.imag))); | |
| 252 d = 0.5*x.imag/s; | |
| 253 if (x.real > 0.) { | |
| 254 r.real = s; | |
| 255 r.imag = d; | |
| 256 } | |
| 257 else if (x.imag >= 0.) { | |
| 258 r.real = d; | |
| 259 r.imag = s; | |
| 260 } | |
| 261 else { | |
| 262 r.real = -d; | |
| 263 r.imag = -s; | |
| 264 } | |
| 265 } | |
| 266 return r; | |
| 267 } | |
| 268 | |
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269 static char c_sqrt_doc[] = |
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270 "sqrt(x)\n" |
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271 "\n" |
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272 "Return the square root of x."; |
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273 |
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274 |
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275 static Py_complex |
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276 c_tan(Py_complex x) |
| 3334 | 277 { |
| 3771 | 278 Py_complex r; |
| 3334 | 279 double sr,cr,shi,chi; |
| 280 double rs,is,rc,ic; | |
| 281 double d; | |
| 282 sr = sin(x.real); | |
| 283 cr = cos(x.real); | |
| 284 shi = sinh(x.imag); | |
| 285 chi = cosh(x.imag); | |
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286 rs = sr * chi; |
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287 is = cr * shi; |
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288 rc = cr * chi; |
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289 ic = -sr * shi; |
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290 d = rc*rc + ic * ic; |
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291 r.real = (rs*rc + is*ic) / d; |
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292 r.imag = (is*rc - rs*ic) / d; |
| 3334 | 293 return r; |
| 294 } | |
| 295 | |
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296 static char c_tan_doc[] = |
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297 "tan(x)\n" |
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298 "\n" |
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299 "Return the tangent of x."; |
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300 |
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301 |
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302 static Py_complex |
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303 c_tanh(Py_complex x) |
| 3334 | 304 { |
| 3771 | 305 Py_complex r; |
| 3334 | 306 double si,ci,shr,chr; |
| 307 double rs,is,rc,ic; | |
| 308 double d; | |
| 309 si = sin(x.imag); | |
| 310 ci = cos(x.imag); | |
| 311 shr = sinh(x.real); | |
| 312 chr = cosh(x.real); | |
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313 rs = ci * shr; |
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314 is = si * chr; |
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315 rc = ci * chr; |
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316 ic = si * shr; |
| 3334 | 317 d = rc*rc + ic*ic; |
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318 r.real = (rs*rc + is*ic) / d; |
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319 r.imag = (is*rc - rs*ic) / d; |
| 3334 | 320 return r; |
| 321 } | |
| 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 |
| 3334 | 328 |
| 329 /* And now the glue to make them available from Python: */ | |
| 330 | |
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331 static PyObject * |
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332 math_error(void) |
| 3334 | 333 { |
| 334 if (errno == EDOM) | |
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335 PyErr_SetString(PyExc_ValueError, "math domain error"); |
| 3334 | 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); |
| 3334 | 340 return NULL; |
| 341 } | |
| 342 | |
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343 static PyObject * |
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344 math_1(PyObject *args, Py_complex (*func)(Py_complex)) |
| 3334 | 345 { |
| 3771 | 346 Py_complex x; |
| 3334 | 347 if (!PyArg_ParseTuple(args, "D", &x)) |
| 348 return NULL; | |
| 349 errno = 0; | |
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350 PyFPE_START_PROTECT("complex function", return 0) |
| 3334 | 351 x = (*func)(x); |
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352 PyFPE_END_PROTECT(x) |
| 3334 | 353 CHECK(x.real); |
| 354 CHECK(x.imag); | |
| 355 if (errno != 0) | |
| 356 return math_error(); | |
| 357 else | |
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358 return PyComplex_FromCComplex(x); |
| 3334 | 359 } |
| 360 | |
| 361 #define FUNC1(stubname, func) \ | |
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362 static PyObject * stubname(PyObject *self, PyObject *args) { \ |
| 3334 | 363 return math_1(args, func); \ |
| 364 } | |
| 365 | |
| 366 FUNC1(cmath_acos, c_acos) | |
| 367 FUNC1(cmath_acosh, c_acosh) | |
| 368 FUNC1(cmath_asin, c_asin) | |
| 369 FUNC1(cmath_asinh, c_asinh) | |
| 370 FUNC1(cmath_atan, c_atan) | |
| 371 FUNC1(cmath_atanh, c_atanh) | |
| 372 FUNC1(cmath_cos, c_cos) | |
| 373 FUNC1(cmath_cosh, c_cosh) | |
| 374 FUNC1(cmath_exp, c_exp) | |
| 375 FUNC1(cmath_log, c_log) | |
| 376 FUNC1(cmath_log10, c_log10) | |
| 377 FUNC1(cmath_sin, c_sin) | |
| 378 FUNC1(cmath_sinh, c_sinh) | |
| 379 FUNC1(cmath_sqrt, c_sqrt) | |
| 380 FUNC1(cmath_tan, c_tan) | |
| 381 FUNC1(cmath_tanh, c_tanh) | |
| 382 | |
| 383 | |
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384 static char module_doc[] = |
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385 "This module is always available. It provides access to mathematical\n" |
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386 "functions for complex numbers."; |
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387 |
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388 static PyMethodDef cmath_methods[] = { |
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389 {"acos", cmath_acos, METH_VARARGS, c_acos_doc}, |
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390 {"acosh", cmath_acosh, METH_VARARGS, c_acosh_doc}, |
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391 {"asin", cmath_asin, METH_VARARGS, c_asin_doc}, |
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392 {"asinh", cmath_asinh, METH_VARARGS, c_asinh_doc}, |
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393 {"atan", cmath_atan, METH_VARARGS, c_atan_doc}, |
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394 {"atanh", cmath_atanh, METH_VARARGS, c_atanh_doc}, |
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395 {"cos", cmath_cos, METH_VARARGS, c_cos_doc}, |
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396 {"cosh", cmath_cosh, METH_VARARGS, c_cosh_doc}, |
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397 {"exp", cmath_exp, METH_VARARGS, c_exp_doc}, |
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398 {"log", cmath_log, METH_VARARGS, c_log_doc}, |
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399 {"log10", cmath_log10, METH_VARARGS, c_log10_doc}, |
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400 {"sin", cmath_sin, METH_VARARGS, c_sin_doc}, |
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401 {"sinh", cmath_sinh, METH_VARARGS, c_sinh_doc}, |
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402 {"sqrt", cmath_sqrt, METH_VARARGS, c_sqrt_doc}, |
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403 {"tan", cmath_tan, METH_VARARGS, c_tan_doc}, |
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404 {"tanh", cmath_tanh, METH_VARARGS, c_tanh_doc}, |
| 3334 | 405 {NULL, NULL} /* sentinel */ |
| 406 }; | |
| 407 | |
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408 DL_EXPORT(void) |
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409 initcmath(void) |
| 3334 | 410 { |
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411 PyObject *m, *d, *v; |
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412 |
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413 m = Py_InitModule3("cmath", cmath_methods, module_doc); |
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414 d = PyModule_GetDict(m); |
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415 PyDict_SetItemString(d, "pi", |
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416 v = PyFloat_FromDouble(atan(1.0) * 4.0)); |
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417 Py_DECREF(v); |
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418 PyDict_SetItemString(d, "e", v = PyFloat_FromDouble(exp(1.0))); |
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419 Py_DECREF(v); |
| 3334 | 420 } |
