Mercurial > cpython-lru_cache-weakref
annotate Modules/cmathmodule.c @ 13184:efecbbf72765 legacy-trunk
Describe a bit about writing test cases for Python...
| author | Skip Montanaro <skip@pobox.com> |
|---|---|
| date | Fri, 30 Jun 2000 06:08:35 +0000 |
| parents | b78b996e8ebc |
| children | a89f7f268de4 |
| rev | line source |
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| 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 #include "mymath.h" | |
| 8 | |
| 9 #ifdef i860 | |
| 10 /* Cray APP has bogus definition of HUGE_VAL in <math.h> */ | |
| 11 #undef HUGE_VAL | |
| 12 #endif | |
| 13 | |
| 14 #ifdef HUGE_VAL | |
| 15 #define CHECK(x) if (errno != 0) ; \ | |
| 16 else if (-HUGE_VAL <= (x) && (x) <= HUGE_VAL) ; \ | |
| 17 else errno = ERANGE | |
| 18 #else | |
| 19 #define CHECK(x) /* Don't know how to check */ | |
| 20 #endif | |
| 21 | |
| 22 #ifndef M_PI | |
| 23 #define M_PI (3.141592653589793239) | |
| 24 #endif | |
| 25 | |
| 26 /* First, the C functions that do the real work */ | |
| 27 | |
| 28 /* constants */ | |
| 3771 | 29 static Py_complex c_1 = {1., 0.}; |
| 30 static Py_complex c_half = {0.5, 0.}; | |
| 31 static Py_complex c_i = {0., 1.}; | |
| 32 static Py_complex c_i2 = {0., 0.5}; | |
| 4600 | 33 #if 0 |
| 3771 | 34 static Py_complex c_mi = {0., -1.}; |
| 35 static Py_complex c_pi2 = {M_PI/2., 0.}; | |
| 4600 | 36 #endif |
| 3334 | 37 |
| 38 /* forward declarations */ | |
| 3771 | 39 staticforward Py_complex c_log(); |
| 40 staticforward Py_complex c_prodi(); | |
| 41 staticforward Py_complex c_sqrt(); | |
| 3334 | 42 |
| 43 | |
| 3771 | 44 static Py_complex c_acos(x) |
| 45 Py_complex x; | |
| 3334 | 46 { |
| 47 return c_neg(c_prodi(c_log(c_sum(x,c_prod(c_i, | |
| 48 c_sqrt(c_diff(c_1,c_prod(x,x)))))))); | |
| 49 } | |
| 50 | |
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51 static char c_acos_doc [] = |
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52 "acos(x)\n\ |
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53 \n\ |
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54 Return the arc cosine of x."; |
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55 |
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56 |
| 3771 | 57 static Py_complex c_acosh(x) |
| 58 Py_complex x; | |
| 3334 | 59 { |
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60 Py_complex z; |
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61 z = c_sqrt(c_half); |
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62 z = c_log(c_prod(z, c_sum(c_sqrt(c_sum(x,c_1)), |
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63 c_sqrt(c_diff(x,c_1))))); |
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64 return c_sum(z, z); |
| 3334 | 65 } |
| 66 | |
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67 static char c_acosh_doc [] = |
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68 "acosh(x)\n\ |
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69 \n\ |
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70 Return the hyperbolic arccosine of x."; |
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71 |
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72 |
| 3771 | 73 static Py_complex c_asin(x) |
| 74 Py_complex x; | |
| 3334 | 75 { |
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76 Py_complex z; |
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77 z = c_sqrt(c_half); |
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78 z = c_log(c_prod(z, c_sum(c_sqrt(c_sum(x,c_i)), |
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79 c_sqrt(c_diff(x,c_i))))); |
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80 return c_sum(z, z); |
| 3334 | 81 } |
| 82 | |
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83 static char c_asin_doc [] = |
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84 "asin(x)\n\ |
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85 \n\ |
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86 Return the arc sine of x."; |
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87 |
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88 |
| 3771 | 89 static Py_complex c_asinh(x) |
| 90 Py_complex x; | |
| 3334 | 91 { |
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92 /* Break up long expression for WATCOM */ |
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93 Py_complex z; |
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94 z = c_sum(c_1,c_prod(x, x)); |
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95 return c_log(c_sum(c_sqrt(z), x)); |
| 3334 | 96 } |
| 97 | |
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98 static char c_asinh_doc [] = |
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99 "asinh(x)\n\ |
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100 \n\ |
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101 Return the hyperbolic arc sine of x."; |
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102 |
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103 |
| 3771 | 104 static Py_complex c_atan(x) |
| 105 Py_complex x; | |
| 3334 | 106 { |
| 107 return c_prod(c_i2,c_log(c_quot(c_sum(c_i,x),c_diff(c_i,x)))); | |
| 108 } | |
| 109 | |
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110 static char c_atan_doc [] = |
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111 "atan(x)\n\ |
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112 \n\ |
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113 Return the arc tangent of x."; |
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114 |
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115 |
| 3771 | 116 static Py_complex c_atanh(x) |
| 117 Py_complex x; | |
| 3334 | 118 { |
| 119 return c_prod(c_half,c_log(c_quot(c_sum(c_1,x),c_diff(c_1,x)))); | |
| 120 } | |
| 121 | |
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122 static char c_atanh_doc [] = |
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123 "atanh(x)\n\ |
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124 \n\ |
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125 Return the hyperbolic arc tangent of x."; |
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126 |
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127 |
| 3771 | 128 static Py_complex c_cos(x) |
| 129 Py_complex x; | |
| 3334 | 130 { |
| 3771 | 131 Py_complex r; |
| 3334 | 132 r.real = cos(x.real)*cosh(x.imag); |
| 133 r.imag = -sin(x.real)*sinh(x.imag); | |
| 134 return r; | |
| 135 } | |
| 136 | |
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137 static char c_cos_doc [] = |
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138 "cos(x)\n\ |
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139 \n\ |
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140 Return the cosine of x."; |
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141 |
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142 |
| 3771 | 143 static Py_complex c_cosh(x) |
| 144 Py_complex x; | |
| 3334 | 145 { |
| 3771 | 146 Py_complex r; |
| 3334 | 147 r.real = cos(x.imag)*cosh(x.real); |
| 148 r.imag = sin(x.imag)*sinh(x.real); | |
| 149 return r; | |
| 150 } | |
| 151 | |
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152 static char c_cosh_doc [] = |
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153 "cosh(x)\n\ |
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154 \n\ |
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155 Return the hyperbolic cosine of x."; |
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156 |
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157 |
| 3771 | 158 static Py_complex c_exp(x) |
| 159 Py_complex x; | |
| 3334 | 160 { |
| 3771 | 161 Py_complex r; |
| 3334 | 162 double l = exp(x.real); |
| 163 r.real = l*cos(x.imag); | |
| 164 r.imag = l*sin(x.imag); | |
| 165 return r; | |
| 166 } | |
| 167 | |
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168 static char c_exp_doc [] = |
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169 "exp(x)\n\ |
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170 \n\ |
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171 Return the exponential value e**x."; |
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172 |
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173 |
| 3771 | 174 static Py_complex c_log(x) |
| 175 Py_complex x; | |
| 3334 | 176 { |
| 3771 | 177 Py_complex r; |
| 3334 | 178 double l = hypot(x.real,x.imag); |
| 179 r.imag = atan2(x.imag, x.real); | |
| 180 r.real = log(l); | |
| 181 return r; | |
| 182 } | |
| 183 | |
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184 static char c_log_doc [] = |
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185 "log(x)\n\ |
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186 \n\ |
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187 Return the natural logarithm of x."; |
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188 |
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189 |
| 3771 | 190 static Py_complex c_log10(x) |
| 191 Py_complex x; | |
| 3334 | 192 { |
| 3771 | 193 Py_complex r; |
| 3334 | 194 double l = hypot(x.real,x.imag); |
| 195 r.imag = atan2(x.imag, x.real)/log(10.); | |
| 196 r.real = log10(l); | |
| 197 return r; | |
| 198 } | |
| 199 | |
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200 static char c_log10_doc [] = |
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201 "log10(x)\n\ |
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202 \n\ |
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203 Return the base-10 logarithm of x."; |
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204 |
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205 |
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206 /* internal function not available from Python */ |
| 3771 | 207 static Py_complex c_prodi(x) |
| 208 Py_complex x; | |
| 3334 | 209 { |
| 3771 | 210 Py_complex r; |
| 3334 | 211 r.real = -x.imag; |
| 212 r.imag = x.real; | |
| 213 return r; | |
| 214 } | |
| 215 | |
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216 |
| 3771 | 217 static Py_complex c_sin(x) |
| 218 Py_complex x; | |
| 3334 | 219 { |
| 3771 | 220 Py_complex r; |
| 3334 | 221 r.real = sin(x.real)*cosh(x.imag); |
| 222 r.imag = cos(x.real)*sinh(x.imag); | |
| 223 return r; | |
| 224 } | |
| 225 | |
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226 static char c_sin_doc [] = |
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227 "sin(x)\n\ |
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228 \n\ |
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229 Return the sine of x."; |
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230 |
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231 |
| 3771 | 232 static Py_complex c_sinh(x) |
| 233 Py_complex x; | |
| 3334 | 234 { |
| 3771 | 235 Py_complex r; |
| 3334 | 236 r.real = cos(x.imag)*sinh(x.real); |
| 237 r.imag = sin(x.imag)*cosh(x.real); | |
| 238 return r; | |
| 239 } | |
| 240 | |
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241 static char c_sinh_doc [] = |
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242 "sinh(x)\n\ |
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243 \n\ |
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244 Return the hyperbolic sine of x."; |
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245 |
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246 |
| 3771 | 247 static Py_complex c_sqrt(x) |
| 248 Py_complex x; | |
| 3334 | 249 { |
| 3771 | 250 Py_complex r; |
| 3334 | 251 double s,d; |
| 252 if (x.real == 0. && x.imag == 0.) | |
| 253 r = x; | |
| 254 else { | |
| 255 s = sqrt(0.5*(fabs(x.real) + hypot(x.real,x.imag))); | |
| 256 d = 0.5*x.imag/s; | |
| 257 if (x.real > 0.) { | |
| 258 r.real = s; | |
| 259 r.imag = d; | |
| 260 } | |
| 261 else if (x.imag >= 0.) { | |
| 262 r.real = d; | |
| 263 r.imag = s; | |
| 264 } | |
| 265 else { | |
| 266 r.real = -d; | |
| 267 r.imag = -s; | |
| 268 } | |
| 269 } | |
| 270 return r; | |
| 271 } | |
| 272 | |
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273 static char c_sqrt_doc [] = |
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274 "sqrt(x)\n\ |
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275 \n\ |
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276 Return the square root of x."; |
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277 |
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278 |
| 3771 | 279 static Py_complex c_tan(x) |
| 280 Py_complex x; | |
| 3334 | 281 { |
| 3771 | 282 Py_complex r; |
| 3334 | 283 double sr,cr,shi,chi; |
| 284 double rs,is,rc,ic; | |
| 285 double d; | |
| 286 sr = sin(x.real); | |
| 287 cr = cos(x.real); | |
| 288 shi = sinh(x.imag); | |
| 289 chi = cosh(x.imag); | |
| 290 rs = sr*chi; | |
| 291 is = cr*shi; | |
| 292 rc = cr*chi; | |
| 293 ic = -sr*shi; | |
| 294 d = rc*rc + ic*ic; | |
| 295 r.real = (rs*rc+is*ic)/d; | |
| 296 r.imag = (is*rc-rs*ic)/d; | |
| 297 return r; | |
| 298 } | |
| 299 | |
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300 static char c_tan_doc [] = |
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301 "tan(x)\n\ |
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302 \n\ |
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303 Return the tangent of x."; |
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304 |
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305 |
| 3771 | 306 static Py_complex c_tanh(x) |
| 307 Py_complex x; | |
| 3334 | 308 { |
| 3771 | 309 Py_complex r; |
| 3334 | 310 double si,ci,shr,chr; |
| 311 double rs,is,rc,ic; | |
| 312 double d; | |
| 313 si = sin(x.imag); | |
| 314 ci = cos(x.imag); | |
| 315 shr = sinh(x.real); | |
| 316 chr = cosh(x.real); | |
| 317 rs = ci*shr; | |
| 318 is = si*chr; | |
| 319 rc = ci*chr; | |
| 320 ic = si*shr; | |
| 321 d = rc*rc + ic*ic; | |
| 322 r.real = (rs*rc+is*ic)/d; | |
| 323 r.imag = (is*rc-rs*ic)/d; | |
| 324 return r; | |
| 325 } | |
| 326 | |
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327 static char c_tanh_doc [] = |
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328 "tanh(x)\n\ |
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329 \n\ |
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330 Return the hyperbolic tangent of x."; |
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331 |
| 3334 | 332 |
| 333 /* And now the glue to make them available from Python: */ | |
| 334 | |
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335 static PyObject * |
| 3334 | 336 math_error() |
| 337 { | |
| 338 if (errno == EDOM) | |
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339 PyErr_SetString(PyExc_ValueError, "math domain error"); |
| 3334 | 340 else if (errno == ERANGE) |
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341 PyErr_SetString(PyExc_OverflowError, "math range error"); |
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342 else /* Unexpected math error */ |
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343 PyErr_SetFromErrno(PyExc_ValueError); |
| 3334 | 344 return NULL; |
| 345 } | |
| 346 | |
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347 static PyObject * |
| 3334 | 348 math_1(args, func) |
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349 PyObject *args; |
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350 Py_complex (*func) Py_FPROTO((Py_complex)); |
| 3334 | 351 { |
| 3771 | 352 Py_complex x; |
| 3334 | 353 if (!PyArg_ParseTuple(args, "D", &x)) |
| 354 return NULL; | |
| 355 errno = 0; | |
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356 PyFPE_START_PROTECT("complex function", return 0) |
| 3334 | 357 x = (*func)(x); |
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358 PyFPE_END_PROTECT(x) |
| 3334 | 359 CHECK(x.real); |
| 360 CHECK(x.imag); | |
| 361 if (errno != 0) | |
| 362 return math_error(); | |
| 363 else | |
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364 return PyComplex_FromCComplex(x); |
| 3334 | 365 } |
| 366 | |
| 367 #define FUNC1(stubname, func) \ | |
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368 static PyObject * stubname(self, args) PyObject *self, *args; { \ |
| 3334 | 369 return math_1(args, func); \ |
| 370 } | |
| 371 | |
| 372 FUNC1(cmath_acos, c_acos) | |
| 373 FUNC1(cmath_acosh, c_acosh) | |
| 374 FUNC1(cmath_asin, c_asin) | |
| 375 FUNC1(cmath_asinh, c_asinh) | |
| 376 FUNC1(cmath_atan, c_atan) | |
| 377 FUNC1(cmath_atanh, c_atanh) | |
| 378 FUNC1(cmath_cos, c_cos) | |
| 379 FUNC1(cmath_cosh, c_cosh) | |
| 380 FUNC1(cmath_exp, c_exp) | |
| 381 FUNC1(cmath_log, c_log) | |
| 382 FUNC1(cmath_log10, c_log10) | |
| 383 FUNC1(cmath_sin, c_sin) | |
| 384 FUNC1(cmath_sinh, c_sinh) | |
| 385 FUNC1(cmath_sqrt, c_sqrt) | |
| 386 FUNC1(cmath_tan, c_tan) | |
| 387 FUNC1(cmath_tanh, c_tanh) | |
| 388 | |
| 389 | |
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390 static char module_doc [] = |
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391 "This module is always available. It provides access to mathematical\n\ |
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392 functions for complex numbers."; |
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393 |
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394 |
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395 static PyMethodDef cmath_methods[] = { |
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396 {"acos", cmath_acos, 1, c_acos_doc}, |
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397 {"acosh", cmath_acosh, 1, c_acosh_doc}, |
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398 {"asin", cmath_asin, 1, c_asin_doc}, |
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399 {"asinh", cmath_asinh, 1, c_asinh_doc}, |
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400 {"atan", cmath_atan, 1, c_atan_doc}, |
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401 {"atanh", cmath_atanh, 1, c_atanh_doc}, |
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402 {"cos", cmath_cos, 1, c_cos_doc}, |
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403 {"cosh", cmath_cosh, 1, c_cosh_doc}, |
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404 {"exp", cmath_exp, 1, c_exp_doc}, |
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405 {"log", cmath_log, 1, c_log_doc}, |
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406 {"log10", cmath_log10, 1, c_log10_doc}, |
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407 {"sin", cmath_sin, 1, c_sin_doc}, |
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408 {"sinh", cmath_sinh, 1, c_sinh_doc}, |
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409 {"sqrt", cmath_sqrt, 1, c_sqrt_doc}, |
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410 {"tan", cmath_tan, 1, c_tan_doc}, |
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411 {"tanh", cmath_tanh, 1, c_tanh_doc}, |
| 3334 | 412 {NULL, NULL} /* sentinel */ |
| 413 }; | |
| 414 | |
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415 DL_EXPORT(void) |
| 3334 | 416 initcmath() |
| 417 { | |
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418 PyObject *m, *d, *v; |
| 3334 | 419 |
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420 m = Py_InitModule3("cmath", cmath_methods, module_doc); |
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421 d = PyModule_GetDict(m); |
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422 PyDict_SetItemString(d, "pi", |
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423 v = PyFloat_FromDouble(atan(1.0) * 4.0)); |
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424 Py_DECREF(v); |
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425 PyDict_SetItemString(d, "e", v = PyFloat_FromDouble(exp(1.0))); |
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426 Py_DECREF(v); |
| 3334 | 427 } |