Mercurial > cpython-lru_cache-weakref
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 |
| rev | line source |
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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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| 3771 | 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 { |
| 3771 | 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 { |
| 3771 | 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 { |
| 3771 | 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 { |
| 3771 | 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 { |
| 3771 | 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 { |
| 3771 | 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 { |
| 3771 | 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); |
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145 } |
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146 |
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147 double |
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148 PyComplex_RealAsDouble(PyObject *op) |
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149 { |
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150 if (PyComplex_Check(op)) { |
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151 return ((PyComplexObject *)op)->cval.real; |
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152 } |
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153 else { |
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154 return PyFloat_AsDouble(op); |
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155 } |
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156 } |
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157 |
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158 double |
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159 PyComplex_ImagAsDouble(PyObject *op) |
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160 { |
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161 if (PyComplex_Check(op)) { |
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162 return ((PyComplexObject *)op)->cval.imag; |
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163 } |
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164 else { |
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165 return 0.0; |
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166 } |
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167 } |
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168 |
| 3771 | 169 Py_complex |
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170 PyComplex_AsCComplex(PyObject *op) |
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171 { |
| 3771 | 172 Py_complex cv; |
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173 if (PyComplex_Check(op)) { |
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174 return ((PyComplexObject *)op)->cval; |
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175 } |
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176 else { |
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177 cv.real = PyFloat_AsDouble(op); |
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178 cv.imag = 0.; |
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179 return cv; |
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180 } |
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181 } |
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182 |
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183 static void |
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184 complex_dealloc(PyObject *op) |
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185 { |
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186 PyObject_DEL(op); |
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187 } |
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188 |
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189 |
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190 static void |
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191 complex_buf_repr(char *buf, PyComplexObject *v) |
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192 { |
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193 if (v->cval.real == 0.) |
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194 sprintf(buf, "%.12gj", v->cval.imag); |
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195 else |
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196 sprintf(buf, "(%.12g%+.12gj)", v->cval.real, v->cval.imag); |
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197 } |
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198 |
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199 static int |
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200 complex_print(PyComplexObject *v, FILE *fp, int flags) |
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201 /* flags -- not used but required by interface */ |
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202 { |
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203 char buf[100]; |
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204 complex_buf_repr(buf, v); |
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205 fputs(buf, fp); |
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206 return 0; |
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207 } |
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208 |
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209 static PyObject * |
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210 complex_repr(PyComplexObject *v) |
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211 { |
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212 char buf[100]; |
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213 complex_buf_repr(buf, v); |
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214 return PyString_FromString(buf); |
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215 } |
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216 |
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217 static int |
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218 complex_compare(PyComplexObject *v, PyComplexObject *w) |
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219 { |
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220 /* Note: "greater" and "smaller" have no meaning for complex numbers, |
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221 but Python requires that they be defined nevertheless. */ |
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222 Py_complex i, j; |
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223 i = v->cval; |
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224 j = w->cval; |
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225 if (i.real == j.real && i.imag == j.imag) |
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226 return 0; |
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227 else if (i.real != j.real) |
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228 return (i.real < j.real) ? -1 : 1; |
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229 else |
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230 return (i.imag < j.imag) ? -1 : 1; |
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231 } |
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232 |
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233 static long |
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234 complex_hash(PyComplexObject *v) |
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235 { |
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236 long hashreal, hashimag, combined; |
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237 hashreal = _Py_HashDouble(v->cval.real); |
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238 if (hashreal == -1) |
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239 return -1; |
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240 hashimag = _Py_HashDouble(v->cval.imag); |
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241 if (hashimag == -1) |
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242 return -1; |
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243 /* Note: if the imaginary part is 0, hashimag is 0 now, |
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244 * so the following returns hashreal unchanged. This is |
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245 * important because numbers of different types that |
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246 * compare equal must have the same hash value, so that |
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247 * hash(x + 0*j) must equal hash(x). |
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248 */ |
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249 combined = hashreal + 1000003 * hashimag; |
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250 if (combined == -1) |
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251 combined = -2; |
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252 return combined; |
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253 } |
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254 |
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255 static PyObject * |
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256 complex_add(PyComplexObject *v, PyComplexObject *w) |
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257 { |
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258 Py_complex result; |
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259 PyFPE_START_PROTECT("complex_add", return 0) |
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260 result = c_sum(v->cval,w->cval); |
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261 PyFPE_END_PROTECT(result) |
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262 return PyComplex_FromCComplex(result); |
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263 } |
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264 |
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265 static PyObject * |
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266 complex_sub(PyComplexObject *v, PyComplexObject *w) |
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267 { |
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268 Py_complex result; |
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269 PyFPE_START_PROTECT("complex_sub", return 0) |
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270 result = c_diff(v->cval,w->cval); |
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271 PyFPE_END_PROTECT(result) |
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272 return PyComplex_FromCComplex(result); |
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273 } |
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274 |
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275 static PyObject * |
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276 complex_mul(PyComplexObject *v, PyComplexObject *w) |
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277 { |
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278 Py_complex result; |
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279 PyFPE_START_PROTECT("complex_mul", return 0) |
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280 result = c_prod(v->cval,w->cval); |
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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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286 complex_div(PyComplexObject *v, PyComplexObject *w) |
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287 { |
| 3771 | 288 Py_complex quot; |
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289 PyFPE_START_PROTECT("complex_div", return 0) |
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290 errno = 0; |
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291 quot = c_quot(v->cval,w->cval); |
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292 PyFPE_END_PROTECT(quot) |
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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) |
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302 { |
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303 Py_complex div, mod; |
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304 errno = 0; |
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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"); |
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308 return NULL; |
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309 } |
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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 } |
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316 |
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317 |
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318 static PyObject * |
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319 complex_divmod(PyComplexObject *v, PyComplexObject *w) |
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320 { |
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321 Py_complex div, mod; |
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322 PyObject *d, *m, *z; |
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323 errno = 0; |
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324 div = c_quot(v->cval,w->cval); /* The raw divisor value. */ |
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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; |
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328 } |
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329 div.real = floor(div.real); /* Use the floor of the real part. */ |
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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); |
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335 Py_XDECREF(d); |
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336 Py_XDECREF(m); |
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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) |
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342 { |
| 3771 | 343 Py_complex p; |
| 344 Py_complex exponent; | |
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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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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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355 if (exponent.imag == 0. && exponent.real == int_exponent) |
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356 p = c_powi(v->cval,int_exponent); |
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357 else |
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358 p = c_pow(v->cval,exponent); |
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359 |
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360 PyFPE_END_PROTECT(p) |
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361 if (errno == ERANGE) { |
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362 PyErr_SetString(PyExc_ValueError, |
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363 "0.0 to a negative or complex power"); |
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364 return NULL; |
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365 } |
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366 return PyComplex_FromCComplex(p); |
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367 } |
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368 |
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369 static PyObject * |
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370 complex_neg(PyComplexObject *v) |
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371 { |
| 3771 | 372 Py_complex neg; |
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373 neg.real = -v->cval.real; |
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374 neg.imag = -v->cval.imag; |
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375 return PyComplex_FromCComplex(neg); |
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376 } |
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377 |
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378 static PyObject * |
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379 complex_pos(PyComplexObject *v) |
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380 { |
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381 Py_INCREF(v); |
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382 return (PyObject *)v; |
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383 } |
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384 |
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385 static PyObject * |
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386 complex_abs(PyComplexObject *v) |
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387 { |
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388 double result; |
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389 PyFPE_START_PROTECT("complex_abs", return 0) |
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390 result = hypot(v->cval.real,v->cval.imag); |
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391 PyFPE_END_PROTECT(result) |
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392 return PyFloat_FromDouble(result); |
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393 } |
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394 |
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395 static int |
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396 complex_nonzero(PyComplexObject *v) |
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397 { |
|
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398 return v->cval.real != 0.0 || v->cval.imag != 0.0; |
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399 } |
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400 |
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401 static int |
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402 complex_coerce(PyObject **pv, PyObject **pw) |
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403 { |
| 3771 | 404 Py_complex cval; |
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405 cval.imag = 0.; |
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406 if (PyInt_Check(*pw)) { |
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407 cval.real = (double)PyInt_AsLong(*pw); |
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408 *pw = PyComplex_FromCComplex(cval); |
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409 Py_INCREF(*pv); |
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410 return 0; |
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411 } |
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412 else if (PyLong_Check(*pw)) { |
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413 cval.real = PyLong_AsDouble(*pw); |
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414 *pw = PyComplex_FromCComplex(cval); |
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415 Py_INCREF(*pv); |
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416 return 0; |
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417 } |
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418 else if (PyFloat_Check(*pw)) { |
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419 cval.real = PyFloat_AsDouble(*pw); |
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420 *pw = PyComplex_FromCComplex(cval); |
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421 Py_INCREF(*pv); |
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422 return 0; |
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423 } |
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424 return 1; /* Can't do it */ |
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425 } |
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426 |
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427 static PyObject * |
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428 complex_int(PyObject *v) |
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429 { |
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430 PyErr_SetString(PyExc_TypeError, |
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431 "can't convert complex to int; use e.g. int(abs(z))"); |
|
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432 return NULL; |
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433 } |
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434 |
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435 static PyObject * |
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436 complex_long(PyObject *v) |
|
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437 { |
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438 PyErr_SetString(PyExc_TypeError, |
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439 "can't convert complex to long; use e.g. long(abs(z))"); |
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440 return NULL; |
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441 } |
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442 |
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443 static PyObject * |
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444 complex_float(PyObject *v) |
|
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445 { |
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446 PyErr_SetString(PyExc_TypeError, |
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447 "can't convert complex to float; use e.g. abs(z)"); |
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448 return NULL; |
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449 } |
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450 |
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451 static PyObject * |
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452 complex_conjugate(PyObject *self, PyObject *args) |
|
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453 { |
|
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Changes to make the file acceptable to K&R C compilers (HPUX, SunOS 4.x).
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|
454 Py_complex c; |
|
11882
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Massive patch by Skip Montanaro to add ":name" to as many
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455 if (!PyArg_ParseTuple(args, ":conjugate")) |
|
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456 return NULL; |
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457 c = ((PyComplexObject *)self)->cval; |
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458 c.imag = -c.imag; |
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459 return PyComplex_FromCComplex(c); |
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460 } |
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461 |
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462 static PyMethodDef complex_methods[] = { |
|
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463 {"conjugate", complex_conjugate, 1}, |
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464 {NULL, NULL} /* sentinel */ |
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465 }; |
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466 |
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467 |
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468 static PyObject * |
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|
469 complex_getattr(PyComplexObject *self, char *name) |
|
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470 { |
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471 if (strcmp(name, "real") == 0) |
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472 return (PyObject *)PyFloat_FromDouble(self->cval.real); |
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473 else if (strcmp(name, "imag") == 0) |
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474 return (PyObject *)PyFloat_FromDouble(self->cval.imag); |
|
5227
97852f4ebde6
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475 else if (strcmp(name, "__members__") == 0) |
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476 return Py_BuildValue("[ss]", "imag", "real"); |
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477 return Py_FindMethod(complex_methods, (PyObject *)self, name); |
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478 } |
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479 |
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480 static PyNumberMethods complex_as_number = { |
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481 (binaryfunc)complex_add, /*nb_add*/ |
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482 (binaryfunc)complex_sub, /*nb_subtract*/ |
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483 (binaryfunc)complex_mul, /*nb_multiply*/ |
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484 (binaryfunc)complex_div, /*nb_divide*/ |
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485 (binaryfunc)complex_remainder, /*nb_remainder*/ |
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486 (binaryfunc)complex_divmod, /*nb_divmod*/ |
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487 (ternaryfunc)complex_pow, /*nb_power*/ |
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488 (unaryfunc)complex_neg, /*nb_negative*/ |
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489 (unaryfunc)complex_pos, /*nb_positive*/ |
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490 (unaryfunc)complex_abs, /*nb_absolute*/ |
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491 (inquiry)complex_nonzero, /*nb_nonzero*/ |
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492 0, /*nb_invert*/ |
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493 0, /*nb_lshift*/ |
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494 0, /*nb_rshift*/ |
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495 0, /*nb_and*/ |
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496 0, /*nb_xor*/ |
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497 0, /*nb_or*/ |
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498 (coercion)complex_coerce, /*nb_coerce*/ |
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499 (unaryfunc)complex_int, /*nb_int*/ |
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500 (unaryfunc)complex_long, /*nb_long*/ |
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501 (unaryfunc)complex_float, /*nb_float*/ |
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502 0, /*nb_oct*/ |
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503 0, /*nb_hex*/ |
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504 }; |
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505 |
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506 PyTypeObject PyComplex_Type = { |
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507 PyObject_HEAD_INIT(&PyType_Type) |
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508 0, |
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509 "complex", |
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510 sizeof(PyComplexObject), |
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511 0, |
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512 (destructor)complex_dealloc, /*tp_dealloc*/ |
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513 (printfunc)complex_print, /*tp_print*/ |
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514 (getattrfunc)complex_getattr, /*tp_getattr*/ |
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515 0, /*tp_setattr*/ |
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516 (cmpfunc)complex_compare, /*tp_compare*/ |
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517 (reprfunc)complex_repr, /*tp_repr*/ |
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518 &complex_as_number, /*tp_as_number*/ |
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519 0, /*tp_as_sequence*/ |
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520 0, /*tp_as_mapping*/ |
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521 (hashfunc)complex_hash, /*tp_hash*/ |
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522 }; |
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523 |
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524 #endif |
