annotate Objects/complexobject.c @ 14541:561c0b1d514b legacy-trunk

Include a link to Francois's po-utils.
author Barry Warsaw <barry@python.org>
date Wed, 13 Sep 2000 12:04:47 +0000
parents 6f6f965c5e2d
children 25ddd3dc7a7a
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1
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2 /* Complex object implementation */
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3
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4 /* Borrows heavily from floatobject.c */
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5
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6 /* Submitted by Jim Hugunin */
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7
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8 #ifndef WITHOUT_COMPLEX
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9
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10 #include "Python.h"
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11
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12 #ifdef HAVE_LIMITS_H
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13 #include <limits.h>
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14 #endif
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15
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16
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17 /* elementary operations on complex numbers */
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18
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19 static Py_complex c_1 = {1., 0.};
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20
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21 Py_complex c_sum(Py_complex a, Py_complex b)
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22 {
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23 Py_complex r;
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24 r.real = a.real + b.real;
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25 r.imag = a.imag + b.imag;
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26 return r;
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27 }
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28
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29 Py_complex c_diff(Py_complex a, Py_complex b)
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30 {
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31 Py_complex r;
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32 r.real = a.real - b.real;
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33 r.imag = a.imag - b.imag;
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34 return r;
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35 }
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36
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37 Py_complex c_neg(Py_complex a)
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38 {
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39 Py_complex r;
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40 r.real = -a.real;
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41 r.imag = -a.imag;
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42 return r;
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43 }
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44
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45 Py_complex c_prod(Py_complex a, Py_complex b)
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46 {
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47 Py_complex r;
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48 r.real = a.real*b.real - a.imag*b.imag;
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49 r.imag = a.real*b.imag + a.imag*b.real;
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50 return r;
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51 }
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52
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53 Py_complex c_quot(Py_complex a, Py_complex b)
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54 {
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55 Py_complex r;
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56 double d = b.real*b.real + b.imag*b.imag;
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57 if (d == 0.)
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58 errno = EDOM;
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59 r.real = (a.real*b.real + a.imag*b.imag)/d;
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60 r.imag = (a.imag*b.real - a.real*b.imag)/d;
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61 return r;
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62 }
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63
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64 Py_complex c_pow(Py_complex a, Py_complex b)
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65 {
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66 Py_complex r;
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67 double vabs,len,at,phase;
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68 if (b.real == 0. && b.imag == 0.) {
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69 r.real = 1.;
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70 r.imag = 0.;
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71 }
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72 else if (a.real == 0. && a.imag == 0.) {
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73 if (b.imag != 0. || b.real < 0.)
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74 errno = ERANGE;
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75 r.real = 0.;
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76 r.imag = 0.;
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77 }
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78 else {
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79 vabs = hypot(a.real,a.imag);
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80 len = pow(vabs,b.real);
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81 at = atan2(a.imag, a.real);
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82 phase = at*b.real;
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83 if (b.imag != 0.0) {
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84 len /= exp(at*b.imag);
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85 phase += b.imag*log(vabs);
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86 }
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87 r.real = len*cos(phase);
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88 r.imag = len*sin(phase);
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89 }
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90 return r;
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91 }
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92
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93 static Py_complex c_powu(Py_complex x, long n)
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94 {
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95 Py_complex r, p;
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96 long mask = 1;
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97 r = c_1;
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98 p = x;
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99 while (mask > 0 && n >= mask) {
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100 if (n & mask)
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101 r = c_prod(r,p);
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102 mask <<= 1;
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103 p = c_prod(p,p);
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104 }
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105 return r;
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106 }
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107
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108 static Py_complex c_powi(Py_complex x, long n)
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109 {
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110 Py_complex cn;
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111
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112 if (n > 100 || n < -100) {
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113 cn.real = (double) n;
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114 cn.imag = 0.;
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115 return c_pow(x,cn);
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116 }
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117 else if (n > 0)
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118 return c_powu(x,n);
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119 else
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120 return c_quot(c_1,c_powu(x,-n));
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121
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122 }
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123
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124 PyObject *
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125 PyComplex_FromCComplex(Py_complex cval)
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126 {
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127 register PyComplexObject *op;
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128
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129 /* PyObject_New is inlined */
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130 op = (PyComplexObject *) PyObject_MALLOC(sizeof(PyComplexObject));
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131 if (op == NULL)
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132 return PyErr_NoMemory();
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133 PyObject_INIT(op, &PyComplex_Type);
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134 op->cval = cval;
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135 return (PyObject *) op;
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136 }
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137
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138 PyObject *
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139 PyComplex_FromDoubles(double real, double imag)
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140 {
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141 Py_complex c;
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142 c.real = real;
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143 c.imag = imag;
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144 return PyComplex_FromCComplex(c);
3316
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Guido van Rossum <guido@python.org>
parents:
diff changeset
145 }
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
146
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
147 double
13452
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diff changeset
148 PyComplex_RealAsDouble(PyObject *op)
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diff changeset
149 {
854f25fde8f4 Changes to make the file acceptable to K&R C compilers (HPUX, SunOS 4.x).
Guido van Rossum <guido@python.org>
parents: 3771
diff changeset
150 if (PyComplex_Check(op)) {
854f25fde8f4 Changes to make the file acceptable to K&R C compilers (HPUX, SunOS 4.x).
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parents: 3771
diff changeset
151 return ((PyComplexObject *)op)->cval.real;
13452
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parents: 13256
diff changeset
152 }
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parents: 13256
diff changeset
153 else {
4025
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parents: 3771
diff changeset
154 return PyFloat_AsDouble(op);
854f25fde8f4 Changes to make the file acceptable to K&R C compilers (HPUX, SunOS 4.x).
Guido van Rossum <guido@python.org>
parents: 3771
diff changeset
155 }
3316
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Guido van Rossum <guido@python.org>
parents:
diff changeset
156 }
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
157
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
158 double
13452
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Fred Drake <fdrake@acm.org>
parents: 13256
diff changeset
159 PyComplex_ImagAsDouble(PyObject *op)
4025
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Guido van Rossum <guido@python.org>
parents: 3771
diff changeset
160 {
854f25fde8f4 Changes to make the file acceptable to K&R C compilers (HPUX, SunOS 4.x).
Guido van Rossum <guido@python.org>
parents: 3771
diff changeset
161 if (PyComplex_Check(op)) {
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parents: 3771
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162 return ((PyComplexObject *)op)->cval.imag;
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diff changeset
163 }
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parents: 13256
diff changeset
164 else {
4025
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diff changeset
165 return 0.0;
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parents: 3771
diff changeset
166 }
3316
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Guido van Rossum <guido@python.org>
parents:
diff changeset
167 }
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
168
3771
d0988318b756 complex -> Py_complex
Guido van Rossum <guido@python.org>
parents: 3608
diff changeset
169 Py_complex
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diff changeset
170 PyComplex_AsCComplex(PyObject *op)
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171 {
3771
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Guido van Rossum <guido@python.org>
parents: 3608
diff changeset
172 Py_complex cv;
3328
4c655115dfce Added PyComplex_AsCComplex
Guido van Rossum <guido@python.org>
parents: 3316
diff changeset
173 if (PyComplex_Check(op)) {
4c655115dfce Added PyComplex_AsCComplex
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174 return ((PyComplexObject *)op)->cval;
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175 }
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Fred Drake <fdrake@acm.org>
parents: 13256
diff changeset
176 else {
3328
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diff changeset
177 cv.real = PyFloat_AsDouble(op);
4c655115dfce Added PyComplex_AsCComplex
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diff changeset
178 cv.imag = 0.;
4c655115dfce Added PyComplex_AsCComplex
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179 return cv;
4c655115dfce Added PyComplex_AsCComplex
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diff changeset
180 }
4c655115dfce Added PyComplex_AsCComplex
Guido van Rossum <guido@python.org>
parents: 3316
diff changeset
181 }
4c655115dfce Added PyComplex_AsCComplex
Guido van Rossum <guido@python.org>
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182
3316
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diff changeset
183 static void
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diff changeset
184 complex_dealloc(PyObject *op)
3316
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Guido van Rossum <guido@python.org>
parents:
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185 {
12576
1c7c2dd1beb1 Vladimir Marangozov's long-awaited malloc restructuring.
Guido van Rossum <guido@python.org>
parents: 11882
diff changeset
186 PyObject_DEL(op);
3316
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Guido van Rossum <guido@python.org>
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diff changeset
187 }
e5d1f242daf9 complex numbers a la Konrad Hinsen
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parents:
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188
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
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diff changeset
189
3608
8573e65fa948 make some things static
Guido van Rossum <guido@python.org>
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diff changeset
190 static void
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diff changeset
191 complex_buf_repr(char *buf, PyComplexObject *v)
3316
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parents:
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192 {
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
193 if (v->cval.real == 0.)
3350
2be0bde3a071 use 'j' instead of 'i' for imaginary constants
Guido van Rossum <guido@python.org>
parents: 3349
diff changeset
194 sprintf(buf, "%.12gj", v->cval.imag);
3316
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195 else
3350
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Guido van Rossum <guido@python.org>
parents: 3349
diff changeset
196 sprintf(buf, "(%.12g%+.12gj)", v->cval.real, v->cval.imag);
3316
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parents:
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197 }
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
198
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
199 static int
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diff changeset
200 complex_print(PyComplexObject *v, FILE *fp, int flags)
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parents: 13256
diff changeset
201 /* flags -- not used but required by interface */
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
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parents:
diff changeset
202 {
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
203 char buf[100];
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
204 complex_buf_repr(buf, v);
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
205 fputs(buf, fp);
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
206 return 0;
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
207 }
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
208
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parents: 5286
diff changeset
209 static PyObject *
13452
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diff changeset
210 complex_repr(PyComplexObject *v)
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
211 {
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
212 char buf[100];
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
213 complex_buf_repr(buf, v);
5396
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parents: 5286
diff changeset
214 return PyString_FromString(buf);
3316
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Guido van Rossum <guido@python.org>
parents:
diff changeset
215 }
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
216
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
217 static int
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parents: 13256
diff changeset
218 complex_compare(PyComplexObject *v, PyComplexObject *w)
3316
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parents:
diff changeset
219 {
13452
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Fred Drake <fdrake@acm.org>
parents: 13256
diff changeset
220 /* Note: "greater" and "smaller" have no meaning for complex numbers,
ed4f7a22e928 ANSI-fication of the sources.
Fred Drake <fdrake@acm.org>
parents: 13256
diff changeset
221 but Python requires that they be defined nevertheless. */
4025
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Guido van Rossum <guido@python.org>
parents: 3771
diff changeset
222 Py_complex i, j;
854f25fde8f4 Changes to make the file acceptable to K&R C compilers (HPUX, SunOS 4.x).
Guido van Rossum <guido@python.org>
parents: 3771
diff changeset
223 i = v->cval;
854f25fde8f4 Changes to make the file acceptable to K&R C compilers (HPUX, SunOS 4.x).
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parents: 3771
diff changeset
224 j = w->cval;
3316
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Guido van Rossum <guido@python.org>
parents:
diff changeset
225 if (i.real == j.real && i.imag == j.imag)
13452
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parents: 13256
diff changeset
226 return 0;
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
227 else if (i.real != j.real)
13452
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Fred Drake <fdrake@acm.org>
parents: 13256
diff changeset
228 return (i.real < j.real) ? -1 : 1;
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
229 else
13452
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Fred Drake <fdrake@acm.org>
parents: 13256
diff changeset
230 return (i.imag < j.imag) ? -1 : 1;
3316
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Guido van Rossum <guido@python.org>
parents:
diff changeset
231 }
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
232
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
233 static long
13452
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Fred Drake <fdrake@acm.org>
parents: 13256
diff changeset
234 complex_hash(PyComplexObject *v)
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
235 {
13976
5ada9fa54801 Fix for http://sourceforge.net/bugs/?func=detailbug&bug_id=111866&group_id=5470.
Tim Peters <tim.peters@gmail.com>
parents: 13761
diff changeset
236 long hashreal, hashimag, combined;
5ada9fa54801 Fix for http://sourceforge.net/bugs/?func=detailbug&bug_id=111866&group_id=5470.
Tim Peters <tim.peters@gmail.com>
parents: 13761
diff changeset
237 hashreal = _Py_HashDouble(v->cval.real);
5ada9fa54801 Fix for http://sourceforge.net/bugs/?func=detailbug&bug_id=111866&group_id=5470.
Tim Peters <tim.peters@gmail.com>
parents: 13761
diff changeset
238 if (hashreal == -1)
5ada9fa54801 Fix for http://sourceforge.net/bugs/?func=detailbug&bug_id=111866&group_id=5470.
Tim Peters <tim.peters@gmail.com>
parents: 13761
diff changeset
239 return -1;
5ada9fa54801 Fix for http://sourceforge.net/bugs/?func=detailbug&bug_id=111866&group_id=5470.
Tim Peters <tim.peters@gmail.com>
parents: 13761
diff changeset
240 hashimag = _Py_HashDouble(v->cval.imag);
5ada9fa54801 Fix for http://sourceforge.net/bugs/?func=detailbug&bug_id=111866&group_id=5470.
Tim Peters <tim.peters@gmail.com>
parents: 13761
diff changeset
241 if (hashimag == -1)
5ada9fa54801 Fix for http://sourceforge.net/bugs/?func=detailbug&bug_id=111866&group_id=5470.
Tim Peters <tim.peters@gmail.com>
parents: 13761
diff changeset
242 return -1;
5ada9fa54801 Fix for http://sourceforge.net/bugs/?func=detailbug&bug_id=111866&group_id=5470.
Tim Peters <tim.peters@gmail.com>
parents: 13761
diff changeset
243 /* Note: if the imaginary part is 0, hashimag is 0 now,
5ada9fa54801 Fix for http://sourceforge.net/bugs/?func=detailbug&bug_id=111866&group_id=5470.
Tim Peters <tim.peters@gmail.com>
parents: 13761
diff changeset
244 * so the following returns hashreal unchanged. This is
5ada9fa54801 Fix for http://sourceforge.net/bugs/?func=detailbug&bug_id=111866&group_id=5470.
Tim Peters <tim.peters@gmail.com>
parents: 13761
diff changeset
245 * important because numbers of different types that
5ada9fa54801 Fix for http://sourceforge.net/bugs/?func=detailbug&bug_id=111866&group_id=5470.
Tim Peters <tim.peters@gmail.com>
parents: 13761
diff changeset
246 * compare equal must have the same hash value, so that
5ada9fa54801 Fix for http://sourceforge.net/bugs/?func=detailbug&bug_id=111866&group_id=5470.
Tim Peters <tim.peters@gmail.com>
parents: 13761
diff changeset
247 * hash(x + 0*j) must equal hash(x).
5ada9fa54801 Fix for http://sourceforge.net/bugs/?func=detailbug&bug_id=111866&group_id=5470.
Tim Peters <tim.peters@gmail.com>
parents: 13761
diff changeset
248 */
5ada9fa54801 Fix for http://sourceforge.net/bugs/?func=detailbug&bug_id=111866&group_id=5470.
Tim Peters <tim.peters@gmail.com>
parents: 13761
diff changeset
249 combined = hashreal + 1000003 * hashimag;
5ada9fa54801 Fix for http://sourceforge.net/bugs/?func=detailbug&bug_id=111866&group_id=5470.
Tim Peters <tim.peters@gmail.com>
parents: 13761
diff changeset
250 if (combined == -1)
5ada9fa54801 Fix for http://sourceforge.net/bugs/?func=detailbug&bug_id=111866&group_id=5470.
Tim Peters <tim.peters@gmail.com>
parents: 13761
diff changeset
251 combined = -2;
5ada9fa54801 Fix for http://sourceforge.net/bugs/?func=detailbug&bug_id=111866&group_id=5470.
Tim Peters <tim.peters@gmail.com>
parents: 13761
diff changeset
252 return combined;
3316
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parents:
diff changeset
253 }
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
254
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parents: 5286
diff changeset
255 static PyObject *
13452
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Fred Drake <fdrake@acm.org>
parents: 13256
diff changeset
256 complex_add(PyComplexObject *v, PyComplexObject *w)
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
257 {
5118
002865af55e5 Changes for Lee Busby's SIGFPE patch set.
Guido van Rossum <guido@python.org>
parents: 4933
diff changeset
258 Py_complex result;
002865af55e5 Changes for Lee Busby's SIGFPE patch set.
Guido van Rossum <guido@python.org>
parents: 4933
diff changeset
259 PyFPE_START_PROTECT("complex_add", return 0)
002865af55e5 Changes for Lee Busby's SIGFPE patch set.
Guido van Rossum <guido@python.org>
parents: 4933
diff changeset
260 result = c_sum(v->cval,w->cval);
5197
74c12704a0bd New form of PyFPE_END_PROTECT macro.
Guido van Rossum <guido@python.org>
parents: 5118
diff changeset
261 PyFPE_END_PROTECT(result)
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parents: 5286
diff changeset
262 return PyComplex_FromCComplex(result);
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
263 }
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
264
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parents: 5286
diff changeset
265 static PyObject *
13452
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parents: 13256
diff changeset
266 complex_sub(PyComplexObject *v, PyComplexObject *w)
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
267 {
5118
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Guido van Rossum <guido@python.org>
parents: 4933
diff changeset
268 Py_complex result;
002865af55e5 Changes for Lee Busby's SIGFPE patch set.
Guido van Rossum <guido@python.org>
parents: 4933
diff changeset
269 PyFPE_START_PROTECT("complex_sub", return 0)
002865af55e5 Changes for Lee Busby's SIGFPE patch set.
Guido van Rossum <guido@python.org>
parents: 4933
diff changeset
270 result = c_diff(v->cval,w->cval);
5197
74c12704a0bd New form of PyFPE_END_PROTECT macro.
Guido van Rossum <guido@python.org>
parents: 5118
diff changeset
271 PyFPE_END_PROTECT(result)
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diff changeset
272 return PyComplex_FromCComplex(result);
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
273 }
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
274
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diff changeset
275 static PyObject *
13452
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parents: 13256
diff changeset
276 complex_mul(PyComplexObject *v, PyComplexObject *w)
3316
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Guido van Rossum <guido@python.org>
parents:
diff changeset
277 {
5118
002865af55e5 Changes for Lee Busby's SIGFPE patch set.
Guido van Rossum <guido@python.org>
parents: 4933
diff changeset
278 Py_complex result;
002865af55e5 Changes for Lee Busby's SIGFPE patch set.
Guido van Rossum <guido@python.org>
parents: 4933
diff changeset
279 PyFPE_START_PROTECT("complex_mul", return 0)
002865af55e5 Changes for Lee Busby's SIGFPE patch set.
Guido van Rossum <guido@python.org>
parents: 4933
diff changeset
280 result = c_prod(v->cval,w->cval);
5197
74c12704a0bd New form of PyFPE_END_PROTECT macro.
Guido van Rossum <guido@python.org>
parents: 5118
diff changeset
281 PyFPE_END_PROTECT(result)
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282 return PyComplex_FromCComplex(result);
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283 }
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284
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285 static PyObject *
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diff changeset
286 complex_div(PyComplexObject *v, PyComplexObject *w)
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287 {
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diff changeset
288 Py_complex quot;
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diff changeset
289 PyFPE_START_PROTECT("complex_div", return 0)
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290 errno = 0;
3316
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291 quot = c_quot(v->cval,w->cval);
5197
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diff changeset
292 PyFPE_END_PROTECT(quot)
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diff changeset
293 if (errno == EDOM) {
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294 PyErr_SetString(PyExc_ZeroDivisionError, "complex division");
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295 return NULL;
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296 }
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297 return PyComplex_FromCComplex(quot);
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298 }
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299
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300 static PyObject *
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301 complex_remainder(PyComplexObject *v, PyComplexObject *w)
4275
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302 {
4304
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303 Py_complex div, mod;
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304 errno = 0;
4304
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305 div = c_quot(v->cval,w->cval); /* The raw divisor value. */
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306 if (errno == EDOM) {
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307 PyErr_SetString(PyExc_ZeroDivisionError, "complex remainder");
4304
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308 return NULL;
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309 }
95c31931b76a Properly(?) implemented remainder and divmod (Tim Hochberg)
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310 div.real = floor(div.real); /* Use the floor of the real part. */
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311 div.imag = 0.0;
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312 mod = c_diff(v->cval, c_prod(w->cval, div));
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313
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314 return PyComplex_FromCComplex(mod);
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315 }
cb841f1b022e Don't dump core on complex % or divmod -- raise a TypeError exception.
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316
cb841f1b022e Don't dump core on complex % or divmod -- raise a TypeError exception.
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317
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318 static PyObject *
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319 complex_divmod(PyComplexObject *v, PyComplexObject *w)
4304
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320 {
95c31931b76a Properly(?) implemented remainder and divmod (Tim Hochberg)
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321 Py_complex div, mod;
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322 PyObject *d, *m, *z;
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1eced1aaad5a Got rid of c_error in favor of errno (and EDOM/ERANGE).
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323 errno = 0;
4304
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324 div = c_quot(v->cval,w->cval); /* The raw divisor value. */
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1eced1aaad5a Got rid of c_error in favor of errno (and EDOM/ERANGE).
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325 if (errno == EDOM) {
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326 PyErr_SetString(PyExc_ZeroDivisionError, "complex divmod()");
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327 return NULL;
95c31931b76a Properly(?) implemented remainder and divmod (Tim Hochberg)
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328 }
95c31931b76a Properly(?) implemented remainder and divmod (Tim Hochberg)
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329 div.real = floor(div.real); /* Use the floor of the real part. */
95c31931b76a Properly(?) implemented remainder and divmod (Tim Hochberg)
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330 div.imag = 0.0;
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331 mod = c_diff(v->cval, c_prod(w->cval, div));
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332 d = PyComplex_FromCComplex(div);
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333 m = PyComplex_FromCComplex(mod);
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334 z = Py_BuildValue("(OO)", d, m);
4304
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335 Py_XDECREF(d);
95c31931b76a Properly(?) implemented remainder and divmod (Tim Hochberg)
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336 Py_XDECREF(m);
95c31931b76a Properly(?) implemented remainder and divmod (Tim Hochberg)
Guido van Rossum <guido@python.org>
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337 return z;
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338 }
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339
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340 static PyObject *
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341 complex_pow(PyComplexObject *v, PyObject *w, PyComplexObject *z)
3316
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342 {
3771
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343 Py_complex p;
d0988318b756 complex -> Py_complex
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344 Py_complex exponent;
3316
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345 long int_exponent;
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346
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347 if ((PyObject *)z!=Py_None) {
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348 PyErr_SetString(PyExc_ValueError, "complex modulo");
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349 return NULL;
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350 }
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351 PyFPE_START_PROTECT("complex_pow", return 0)
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diff changeset
352 errno = 0;
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353 exponent = ((PyComplexObject*)w)->cval;
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354 int_exponent = (long)exponent.real;
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parents:
diff changeset
355 if (exponent.imag == 0. && exponent.real == int_exponent)
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Guido van Rossum <guido@python.org>
parents:
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356 p = c_powi(v->cval,int_exponent);
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
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diff changeset
357 else
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
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diff changeset
358 p = c_pow(v->cval,exponent);
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parents:
diff changeset
359
5197
74c12704a0bd New form of PyFPE_END_PROTECT macro.
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parents: 5118
diff changeset
360 PyFPE_END_PROTECT(p)
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1eced1aaad5a Got rid of c_error in favor of errno (and EDOM/ERANGE).
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diff changeset
361 if (errno == ERANGE) {
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diff changeset
362 PyErr_SetString(PyExc_ValueError,
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363 "0.0 to a negative or complex power");
3316
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Guido van Rossum <guido@python.org>
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diff changeset
364 return NULL;
e5d1f242daf9 complex numbers a la Konrad Hinsen
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diff changeset
365 }
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366 return PyComplex_FromCComplex(p);
3316
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diff changeset
367 }
e5d1f242daf9 complex numbers a la Konrad Hinsen
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368
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369 static PyObject *
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370 complex_neg(PyComplexObject *v)
3316
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Guido van Rossum <guido@python.org>
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diff changeset
371 {
3771
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Guido van Rossum <guido@python.org>
parents: 3608
diff changeset
372 Py_complex neg;
3316
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Guido van Rossum <guido@python.org>
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diff changeset
373 neg.real = -v->cval.real;
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
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374 neg.imag = -v->cval.imag;
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375 return PyComplex_FromCComplex(neg);
3316
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Guido van Rossum <guido@python.org>
parents:
diff changeset
376 }
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
377
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diff changeset
378 static PyObject *
13452
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parents: 13256
diff changeset
379 complex_pos(PyComplexObject *v)
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
380 {
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diff changeset
381 Py_INCREF(v);
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diff changeset
382 return (PyObject *)v;
3316
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Guido van Rossum <guido@python.org>
parents:
diff changeset
383 }
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
384
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diff changeset
385 static PyObject *
13452
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parents: 13256
diff changeset
386 complex_abs(PyComplexObject *v)
3316
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Guido van Rossum <guido@python.org>
parents:
diff changeset
387 {
5118
002865af55e5 Changes for Lee Busby's SIGFPE patch set.
Guido van Rossum <guido@python.org>
parents: 4933
diff changeset
388 double result;
002865af55e5 Changes for Lee Busby's SIGFPE patch set.
Guido van Rossum <guido@python.org>
parents: 4933
diff changeset
389 PyFPE_START_PROTECT("complex_abs", return 0)
002865af55e5 Changes for Lee Busby's SIGFPE patch set.
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parents: 4933
diff changeset
390 result = hypot(v->cval.real,v->cval.imag);
5197
74c12704a0bd New form of PyFPE_END_PROTECT macro.
Guido van Rossum <guido@python.org>
parents: 5118
diff changeset
391 PyFPE_END_PROTECT(result)
5396
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diff changeset
392 return PyFloat_FromDouble(result);
3316
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Guido van Rossum <guido@python.org>
parents:
diff changeset
393 }
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
394
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
395 static int
13452
ed4f7a22e928 ANSI-fication of the sources.
Fred Drake <fdrake@acm.org>
parents: 13256
diff changeset
396 complex_nonzero(PyComplexObject *v)
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
397 {
9940
93b9eafe1f1d Ai! complex_nonzero() has && which should be ||, else decidedly
Guido van Rossum <guido@python.org>
parents: 8261
diff changeset
398 return v->cval.real != 0.0 || v->cval.imag != 0.0;
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
399 }
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
400
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
401 static int
13452
ed4f7a22e928 ANSI-fication of the sources.
Fred Drake <fdrake@acm.org>
parents: 13256
diff changeset
402 complex_coerce(PyObject **pv, PyObject **pw)
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
403 {
3771
d0988318b756 complex -> Py_complex
Guido van Rossum <guido@python.org>
parents: 3608
diff changeset
404 Py_complex cval;
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
405 cval.imag = 0.;
5396
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diff changeset
406 if (PyInt_Check(*pw)) {
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diff changeset
407 cval.real = (double)PyInt_AsLong(*pw);
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diff changeset
408 *pw = PyComplex_FromCComplex(cval);
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Guido van Rossum <guido@python.org>
parents: 5286
diff changeset
409 Py_INCREF(*pv);
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
410 return 0;
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
411 }
5396
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diff changeset
412 else if (PyLong_Check(*pw)) {
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diff changeset
413 cval.real = PyLong_AsDouble(*pw);
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diff changeset
414 *pw = PyComplex_FromCComplex(cval);
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diff changeset
415 Py_INCREF(*pv);
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
416 return 0;
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
417 }
5396
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diff changeset
418 else if (PyFloat_Check(*pw)) {
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diff changeset
419 cval.real = PyFloat_AsDouble(*pw);
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diff changeset
420 *pw = PyComplex_FromCComplex(cval);
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diff changeset
421 Py_INCREF(*pv);
3316
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Guido van Rossum <guido@python.org>
parents:
diff changeset
422 return 0;
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
423 }
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
424 return 1; /* Can't do it */
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
425 }
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
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426
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parents: 5286
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427 static PyObject *
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Fred Drake <fdrake@acm.org>
parents: 13256
diff changeset
428 complex_int(PyObject *v)
3316
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Guido van Rossum <guido@python.org>
parents:
diff changeset
429 {
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parents: 5286
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430 PyErr_SetString(PyExc_TypeError,
4290
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Guido van Rossum <guido@python.org>
parents: 4275
diff changeset
431 "can't convert complex to int; use e.g. int(abs(z))");
9c6eab0cf542 Raise exception instead of dropping imag part for conversion to int,
Guido van Rossum <guido@python.org>
parents: 4275
diff changeset
432 return NULL;
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
433 }
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
434
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parents: 5286
diff changeset
435 static PyObject *
13452
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Fred Drake <fdrake@acm.org>
parents: 13256
diff changeset
436 complex_long(PyObject *v)
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
437 {
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parents: 5286
diff changeset
438 PyErr_SetString(PyExc_TypeError,
4290
9c6eab0cf542 Raise exception instead of dropping imag part for conversion to int,
Guido van Rossum <guido@python.org>
parents: 4275
diff changeset
439 "can't convert complex to long; use e.g. long(abs(z))");
9c6eab0cf542 Raise exception instead of dropping imag part for conversion to int,
Guido van Rossum <guido@python.org>
parents: 4275
diff changeset
440 return NULL;
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
441 }
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
442
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parents: 5286
diff changeset
443 static PyObject *
13452
ed4f7a22e928 ANSI-fication of the sources.
Fred Drake <fdrake@acm.org>
parents: 13256
diff changeset
444 complex_float(PyObject *v)
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
445 {
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parents: 5286
diff changeset
446 PyErr_SetString(PyExc_TypeError,
4290
9c6eab0cf542 Raise exception instead of dropping imag part for conversion to int,
Guido van Rossum <guido@python.org>
parents: 4275
diff changeset
447 "can't convert complex to float; use e.g. abs(z)");
9c6eab0cf542 Raise exception instead of dropping imag part for conversion to int,
Guido van Rossum <guido@python.org>
parents: 4275
diff changeset
448 return NULL;
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
449 }
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
450
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parents: 5286
diff changeset
451 static PyObject *
13452
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Fred Drake <fdrake@acm.org>
parents: 13256
diff changeset
452 complex_conjugate(PyObject *self, PyObject *args)
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
453 {
4025
854f25fde8f4 Changes to make the file acceptable to K&R C compilers (HPUX, SunOS 4.x).
Guido van Rossum <guido@python.org>
parents: 3771
diff changeset
454 Py_complex c;
11882
dc65c5f6ad7c Massive patch by Skip Montanaro to add ":name" to as many
Guido van Rossum <guido@python.org>
parents: 11673
diff changeset
455 if (!PyArg_ParseTuple(args, ":conjugate"))
8261
b8ba8887d59f Add check to conjugate() that there are no excess arguments.
Guido van Rossum <guido@python.org>
parents: 5559
diff changeset
456 return NULL;
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parents: 5286
diff changeset
457 c = ((PyComplexObject *)self)->cval;
3316
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Guido van Rossum <guido@python.org>
parents:
diff changeset
458 c.imag = -c.imag;
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Guido van Rossum <guido@python.org>
parents: 5286
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459 return PyComplex_FromCComplex(c);
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
460 }
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
461
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
462 static PyMethodDef complex_methods[] = {
8261
b8ba8887d59f Add check to conjugate() that there are no excess arguments.
Guido van Rossum <guido@python.org>
parents: 5559
diff changeset
463 {"conjugate", complex_conjugate, 1},
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
464 {NULL, NULL} /* sentinel */
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
465 };
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
466
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
467
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parents: 5286
diff changeset
468 static PyObject *
13452
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Fred Drake <fdrake@acm.org>
parents: 13256
diff changeset
469 complex_getattr(PyComplexObject *self, char *name)
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
470 {
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
471 if (strcmp(name, "real") == 0)
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parents: 5286
diff changeset
472 return (PyObject *)PyFloat_FromDouble(self->cval.real);
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
473 else if (strcmp(name, "imag") == 0)
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parents: 5286
diff changeset
474 return (PyObject *)PyFloat_FromDouble(self->cval.imag);
5227
97852f4ebde6 Get rid of .conj pseudo data attribute for complex numbers.
Guido van Rossum <guido@python.org>
parents: 5197
diff changeset
475 else if (strcmp(name, "__members__") == 0)
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Guido van Rossum <guido@python.org>
parents: 5286
diff changeset
476 return Py_BuildValue("[ss]", "imag", "real");
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Guido van Rossum <guido@python.org>
parents: 5286
diff changeset
477 return Py_FindMethod(complex_methods, (PyObject *)self, name);
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
478 }
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
479
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parents: 5286
diff changeset
480 static PyNumberMethods complex_as_number = {
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
481 (binaryfunc)complex_add, /*nb_add*/
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
482 (binaryfunc)complex_sub, /*nb_subtract*/
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
483 (binaryfunc)complex_mul, /*nb_multiply*/
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
484 (binaryfunc)complex_div, /*nb_divide*/
4275
cb841f1b022e Don't dump core on complex % or divmod -- raise a TypeError exception.
Guido van Rossum <guido@python.org>
parents: 4025
diff changeset
485 (binaryfunc)complex_remainder, /*nb_remainder*/
cb841f1b022e Don't dump core on complex % or divmod -- raise a TypeError exception.
Guido van Rossum <guido@python.org>
parents: 4025
diff changeset
486 (binaryfunc)complex_divmod, /*nb_divmod*/
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
487 (ternaryfunc)complex_pow, /*nb_power*/
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
488 (unaryfunc)complex_neg, /*nb_negative*/
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
489 (unaryfunc)complex_pos, /*nb_positive*/
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
490 (unaryfunc)complex_abs, /*nb_absolute*/
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
491 (inquiry)complex_nonzero, /*nb_nonzero*/
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
492 0, /*nb_invert*/
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
493 0, /*nb_lshift*/
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
494 0, /*nb_rshift*/
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
495 0, /*nb_and*/
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
496 0, /*nb_xor*/
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
497 0, /*nb_or*/
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
498 (coercion)complex_coerce, /*nb_coerce*/
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
499 (unaryfunc)complex_int, /*nb_int*/
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
500 (unaryfunc)complex_long, /*nb_long*/
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
501 (unaryfunc)complex_float, /*nb_float*/
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
502 0, /*nb_oct*/
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
503 0, /*nb_hex*/
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
504 };
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
505
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parents: 5286
diff changeset
506 PyTypeObject PyComplex_Type = {
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parents: 5286
diff changeset
507 PyObject_HEAD_INIT(&PyType_Type)
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
508 0,
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
509 "complex",
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parents: 5286
diff changeset
510 sizeof(PyComplexObject),
3316
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
511 0,
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
512 (destructor)complex_dealloc, /*tp_dealloc*/
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
513 (printfunc)complex_print, /*tp_print*/
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
514 (getattrfunc)complex_getattr, /*tp_getattr*/
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
515 0, /*tp_setattr*/
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
516 (cmpfunc)complex_compare, /*tp_compare*/
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
517 (reprfunc)complex_repr, /*tp_repr*/
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
518 &complex_as_number, /*tp_as_number*/
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
519 0, /*tp_as_sequence*/
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
520 0, /*tp_as_mapping*/
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
521 (hashfunc)complex_hash, /*tp_hash*/
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
522 };
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
523
e5d1f242daf9 complex numbers a la Konrad Hinsen
Guido van Rossum <guido@python.org>
parents:
diff changeset
524 #endif