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3
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1 // Helper functions for matrix classes. -*- C++ -*- |
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2 /* |
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3 |
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1011
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4 Copyright (C) 1992, 1993, 1994, 1995 John W. Eaton |
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3
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5 |
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6 This file is part of Octave. |
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7 |
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8 Octave is free software; you can redistribute it and/or modify it |
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9 under the terms of the GNU General Public License as published by the |
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10 Free Software Foundation; either version 2, or (at your option) any |
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11 later version. |
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12 |
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13 Octave is distributed in the hope that it will be useful, but WITHOUT |
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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16 for more details. |
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17 |
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18 You should have received a copy of the GNU General Public License |
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19 along with Octave; see the file COPYING. If not, write to the Free |
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20 Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA. |
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21 |
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22 */ |
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23 |
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461
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24 #include <Complex.h> |
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25 |
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3
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26 // But first, some helper functions... |
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27 |
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28 static inline double * |
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238
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29 add (const double *d, int len, double s) |
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3
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30 { |
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31 double *result = 0; |
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32 if (len > 0) |
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33 { |
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34 result = new double [len]; |
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35 for (int i = 0; i < len; i++) |
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36 result[i] = d[i] + s; |
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37 } |
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38 return result; |
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39 } |
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40 |
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41 static inline double * |
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238
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42 subtract (const double *d, int len, double s) |
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3
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43 { |
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44 double *result = 0; |
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45 if (len > 0) |
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46 { |
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47 result = new double [len]; |
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48 for (int i = 0; i < len; i++) |
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49 result[i] = d[i] - s; |
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50 } |
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51 return result; |
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52 } |
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53 |
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54 static inline double * |
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238
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55 subtract (double s, const double *d, int len) |
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3
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56 { |
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57 double *result = 0; |
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58 if (len > 0) |
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59 { |
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60 result = new double [len]; |
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61 for (int i = 0; i < len; i++) |
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62 result[i] = s - d[i]; |
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63 } |
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64 return result; |
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65 } |
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66 |
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67 static inline double * |
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238
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68 multiply (const double *d, int len, double s) |
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3
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69 { |
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70 double *result = 0; |
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71 if (len > 0) |
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72 { |
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73 result = new double [len]; |
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74 for (int i = 0; i < len; i++) |
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75 result[i] = d[i] * s; |
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76 } |
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77 return result; |
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78 } |
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79 |
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80 static inline double * |
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238
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81 divide (const double *d, int len, double s) |
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3
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82 { |
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83 double *result = 0; |
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84 if (len > 0) |
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85 { |
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86 result = new double [len]; |
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87 for (int i = 0; i < len; i++) |
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88 result[i] = d[i] / s; |
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89 } |
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90 return result; |
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91 } |
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92 |
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93 static inline double * |
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238
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94 divide (double s, const double *d, int len) |
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95 { |
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96 double *result = 0; |
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97 if (len > 0) |
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98 { |
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99 result = new double [len]; |
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100 for (int i = 0; i < len; i++) |
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101 result[i] = s / d[i]; |
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102 } |
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103 return result; |
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104 } |
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105 |
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106 static inline double * |
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238
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107 add (const double *x, const double *y, int len) |
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108 { |
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109 double *result = 0; |
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110 if (len > 0) |
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111 { |
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112 result = new double [len]; |
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113 for (int i = 0; i < len; i++) |
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114 result[i] = x[i] + y[i]; |
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115 } |
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116 return result; |
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117 } |
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118 |
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119 static inline double * |
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238
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120 subtract (const double *x, const double *y, int len) |
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121 { |
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122 double *result = 0; |
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123 if (len > 0) |
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124 { |
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125 result = new double [len]; |
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126 for (int i = 0; i < len; i++) |
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127 result[i] = x[i] - y[i]; |
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128 } |
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129 return result; |
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130 } |
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131 |
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132 static inline double * |
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238
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133 multiply (const double *x, const double *y, int len) |
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134 { |
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135 double *result = 0; |
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136 if (len > 0) |
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137 { |
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138 result = new double [len]; |
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139 for (int i = 0; i < len; i++) |
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140 result[i] = x[i] * y[i]; |
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141 } |
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142 return result; |
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143 } |
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144 |
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145 static inline double * |
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238
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146 divide (const double *x, const double *y, int len) |
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147 { |
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148 double *result = 0; |
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149 if (len > 0) |
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150 { |
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151 result = new double [len]; |
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152 for (int i = 0; i < len; i++) |
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153 result[i] = x[i] / y[i]; |
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154 } |
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155 return result; |
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156 } |
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157 |
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158 static inline double * |
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238
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159 add2 (double *x, const double *y, int len) |
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3
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160 { |
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161 for (int i = 0; i < len; i++) |
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162 x[i] += y[i]; |
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163 return x; |
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164 } |
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165 |
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166 static inline double * |
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238
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167 subtract2 (double *x, const double *y, int len) |
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3
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168 { |
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169 for (int i = 0; i < len; i++) |
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170 x[i] -= y[i]; |
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171 return x; |
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172 } |
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173 |
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174 static inline double * |
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238
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175 negate (const double *d, int len) |
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3
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176 { |
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177 double *result = 0; |
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178 if (len > 0) |
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179 { |
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180 result = new double [len]; |
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181 for (int i = 0; i < len; i++) |
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182 result[i] = -d[i]; |
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183 } |
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184 return result; |
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185 } |
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186 |
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187 static inline void |
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188 copy (double *d, int len, double s) |
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189 { |
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190 for (int i = 0; i < len; i++) |
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191 d[i] = s; |
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192 } |
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193 |
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194 static inline void |
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238
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195 copy (double *x, const double *y, int len) |
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3
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196 { |
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197 for (int i = 0; i < len; i++) |
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198 x[i] = y[i]; |
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199 } |
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200 |
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201 static inline double * |
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238
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202 dup (const double *x, int len) |
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203 { |
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238
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204 double *retval = 0; |
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205 if (len > 0) |
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206 { |
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207 retval = new double [len]; |
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208 for (int i = 0; i < len; i++) |
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209 retval[i] = x[i]; |
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210 } |
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211 return retval; |
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212 } |
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213 |
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214 static inline int |
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238
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215 equal (const double *x, const double *y, int len) |
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3
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216 { |
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217 for (int i = 0; i < len; i++) |
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218 if (x[i] != y[i]) |
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219 return 0; |
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220 return 1; |
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221 } |
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222 |
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223 // And some for Complex too... |
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224 |
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225 static inline Complex * |
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238
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226 add (const Complex *d, int len, Complex s) |
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3
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227 { |
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228 Complex *result = 0; |
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229 if (len > 0) |
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230 { |
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231 result = new Complex [len]; |
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232 for (int i = 0; i < len; i++) |
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233 result[i] = d[i] + s; |
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234 } |
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235 return result; |
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236 } |
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237 |
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238 static inline Complex * |
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238
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239 add (Complex s, const Complex *d, int len) |
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3
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240 { |
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241 Complex *result = 0; |
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242 if (len > 0) |
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243 { |
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244 result = new Complex [len]; |
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245 for (int i = 0; i < len; i++) |
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246 result[i] = s + d[i]; |
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247 } |
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248 return result; |
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249 } |
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250 |
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251 static inline Complex * |
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238
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252 subtract (const Complex *d, int len, Complex s) |
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253 { |
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254 Complex *result = 0; |
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255 if (len > 0) |
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256 { |
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257 result = new Complex [len]; |
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258 for (int i = 0; i < len; i++) |
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259 result[i] = d[i] - s; |
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260 } |
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261 return result; |
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262 } |
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263 |
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264 static inline Complex * |
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238
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265 subtract (Complex s, const Complex *d, int len) |
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266 { |
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267 Complex *result = 0; |
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268 if (len > 0) |
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269 { |
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270 result = new Complex [len]; |
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271 for (int i = 0; i < len; i++) |
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272 result[i] = s - d[i]; |
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273 } |
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274 return result; |
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275 } |
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276 |
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277 static inline Complex * |
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238
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278 multiply (const Complex *d, int len, Complex s) |
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279 { |
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280 Complex *result = 0; |
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281 if (len > 0) |
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282 { |
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283 result = new Complex [len]; |
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284 for (int i = 0; i < len; i++) |
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285 result[i] = d[i] * s; |
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286 } |
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287 return result; |
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288 } |
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289 |
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290 static inline Complex * |
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238
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291 multiply (Complex s, const Complex *d, int len) |
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292 { |
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293 Complex *result = 0; |
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294 if (len > 0) |
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295 { |
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296 result = new Complex [len]; |
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297 for (int i = 0; i < len; i++) |
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298 result[i] = s * d[i]; |
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299 } |
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300 return result; |
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301 } |
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302 |
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303 static inline Complex * |
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238
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304 divide (const Complex *d, int len, Complex s) |
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305 { |
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306 Complex *result = 0; |
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307 if (len > 0) |
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308 { |
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309 result = new Complex [len]; |
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310 for (int i = 0; i < len; i++) |
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311 result[i] = d[i] / s; |
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312 } |
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313 return result; |
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314 } |
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315 |
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316 static inline Complex * |
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238
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317 divide (Complex s, const Complex *d, int len) |
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318 { |
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319 Complex *result = 0; |
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320 if (len > 0) |
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321 { |
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322 result = new Complex [len]; |
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323 for (int i = 0; i < len; i++) |
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324 result[i] = s / d[i]; |
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325 } |
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326 return result; |
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327 } |
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328 |
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329 static inline Complex * |
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330 add (const Complex *x, const Complex *y, int len) |
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331 { |
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332 Complex *result = 0; |
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333 if (len > 0) |
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334 { |
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335 result = new Complex [len]; |
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336 for (int i = 0; i < len; i++) |
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337 result[i] = x[i] + y[i]; |
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338 } |
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339 return result; |
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340 } |
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341 |
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342 static inline Complex * |
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238
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343 subtract (const Complex *x, const Complex *y, int len) |
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344 { |
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345 Complex *result = 0; |
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346 if (len > 0) |
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347 { |
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348 result = new Complex [len]; |
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349 for (int i = 0; i < len; i++) |
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350 result[i] = x[i] - y[i]; |
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351 } |
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352 return result; |
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353 } |
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354 |
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355 static inline Complex * |
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238
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356 multiply (const Complex *x, const Complex *y, int len) |
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357 { |
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358 Complex *result = 0; |
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359 if (len > 0) |
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360 { |
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361 result = new Complex [len]; |
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362 for (int i = 0; i < len; i++) |
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363 result[i] = x[i] * y[i]; |
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364 } |
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365 return result; |
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366 } |
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367 |
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368 static inline Complex * |
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238
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369 divide (const Complex *x, const Complex *y, int len) |
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370 { |
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371 Complex *result = 0; |
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372 if (len > 0) |
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373 { |
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374 result = new Complex [len]; |
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375 for (int i = 0; i < len; i++) |
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376 result[i] = x[i] / y[i]; |
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377 } |
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378 return result; |
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379 } |
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380 |
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381 static inline Complex * |
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238
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382 add2 (Complex *x, const Complex *y, int len) |
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3
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383 { |
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384 for (int i = 0; i < len; i++) |
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385 x[i] += y[i]; |
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386 return x; |
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387 } |
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388 |
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389 static inline Complex * |
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238
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390 subtract2 (Complex *x, const Complex *y, int len) |
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3
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391 { |
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392 for (int i = 0; i < len; i++) |
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393 x[i] -= y[i]; |
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394 return x; |
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395 } |
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396 |
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397 static inline Complex * |
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238
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398 negate (const Complex *d, int len) |
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3
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399 { |
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400 Complex *result = 0; |
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401 if (len > 0) |
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402 { |
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403 result = new Complex [len]; |
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404 for (int i = 0; i < len; i++) |
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405 result[i] = -d[i]; |
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406 } |
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407 return result; |
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408 } |
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409 |
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410 static inline double * |
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238
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411 not (const Complex *d, int len) |
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3
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412 { |
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413 double *result = 0; |
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414 if (len > 0) |
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415 { |
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416 result = new double [len]; |
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417 for (int i = 0; i < len; i++) |
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418 result[i] = (d[i] == 0.0); |
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419 } |
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420 return result; |
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421 } |
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422 |
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423 static inline void |
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424 copy (Complex *d, int len, Complex s) |
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425 { |
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426 for (int i = 0; i < len; i++) |
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427 d[i] = s; |
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428 } |
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429 |
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430 static inline void |
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238
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431 copy (Complex *x, const Complex *y, int len) |
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3
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432 { |
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433 for (int i = 0; i < len; i++) |
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434 x[i] = y[i]; |
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435 } |
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436 |
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437 static inline Complex * |
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238
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438 dup (const Complex *x, int len) |
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3
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439 { |
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238
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440 Complex *retval = 0; |
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3
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441 if (len > 0) |
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442 { |
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443 retval = new Complex [len]; |
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444 for (int i = 0; i < len; i++) |
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445 retval[i] = x[i]; |
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446 } |
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447 return retval; |
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448 } |
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449 |
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450 static inline Complex * |
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238
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451 make_complex (const double *x, int len) |
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3
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452 { |
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238
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453 Complex *retval = 0; |
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3
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454 if (len > 0) |
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455 { |
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456 retval = new Complex [len]; |
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457 for (int i = 0; i < len; i++) |
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458 retval[i] = x[i]; |
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459 } |
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460 return retval; |
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461 } |
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462 |
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463 static inline Complex * |
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238
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464 conj_dup (const Complex *x, int len) |
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3
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465 { |
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238
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466 Complex *retval = 0; |
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3
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467 if (len > 0) |
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468 { |
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469 retval = new Complex [len]; |
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470 for (int i = 0; i < len; i++) |
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471 retval[i] = conj (x[i]); |
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472 } |
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473 return retval; |
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474 } |
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475 |
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476 static inline double * |
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238
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477 real_dup (const Complex *x, int len) |
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3
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478 { |
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238
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479 double *retval = 0; |
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3
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480 if (len > 0) |
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481 { |
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482 retval = new double [len]; |
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483 for (int i = 0; i < len; i++) |
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484 retval[i] = real (x[i]); |
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485 } |
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486 return retval; |
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487 } |
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488 |
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489 static inline double * |
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238
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490 imag_dup (const Complex *x, int len) |
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3
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491 { |
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238
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492 double *retval = 0; |
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3
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493 if (len > 0) |
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494 { |
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495 retval = new double [len]; |
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496 for (int i = 0; i < len; i++) |
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497 retval[i] = imag (x[i]); |
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498 } |
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499 return retval; |
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500 } |
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501 |
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502 static inline int |
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238
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503 equal (const Complex *x, const Complex *y, int len) |
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3
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504 { |
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505 for (int i = 0; i < len; i++) |
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506 if (x[i] != y[i]) |
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507 return 0; |
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508 return 1; |
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509 } |
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510 |
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511 // And still some more for mixed Complex/double operations... |
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512 |
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513 static inline Complex * |
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238
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514 add (const Complex *d, int len, double s) |
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3
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515 { |
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516 Complex *result = 0; |
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517 if (len > 0) |
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518 { |
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519 result = new Complex [len]; |
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520 for (int i = 0; i < len; i++) |
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521 result[i] = d[i] + s; |
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522 } |
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523 return result; |
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524 } |
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525 |
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526 static inline Complex * |
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238
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527 add (const double *d, int len, Complex s) |
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3
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528 { |
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529 Complex *result = 0; |
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530 if (len > 0) |
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531 { |
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532 result = new Complex [len]; |
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533 for (int i = 0; i < len; i++) |
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534 result[i] = d[i] + s; |
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535 } |
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536 return result; |
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537 } |
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538 |
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539 static inline Complex * |
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238
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540 add (double s, const Complex *d, int len) |
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3
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541 { |
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542 Complex *result = 0; |
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543 if (len > 0) |
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544 { |
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545 result = new Complex [len]; |
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546 for (int i = 0; i < len; i++) |
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547 result[i] = s + d[i]; |
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548 } |
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549 return result; |
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550 } |
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551 |
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552 static inline Complex * |
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238
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553 add (Complex s, const double *d, int len) |
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3
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554 { |
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555 Complex *result = 0; |
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556 if (len > 0) |
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557 { |
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558 result = new Complex [len]; |
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559 for (int i = 0; i < len; i++) |
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560 result[i] = s + d[i]; |
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561 } |
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562 return result; |
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563 } |
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564 |
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565 static inline Complex * |
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238
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566 subtract (const Complex *d, int len, double s) |
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3
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567 { |
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568 Complex *result = 0; |
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569 if (len > 0) |
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570 { |
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571 result = new Complex [len]; |
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572 for (int i = 0; i < len; i++) |
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573 result[i] = d[i] - s; |
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574 } |
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575 return result; |
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576 } |
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577 |
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578 static inline Complex * |
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238
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579 subtract (const double *d, int len, Complex s) |
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3
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580 { |
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581 Complex *result = 0; |
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582 if (len > 0) |
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583 { |
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584 result = new Complex [len]; |
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585 for (int i = 0; i < len; i++) |
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586 result[i] = d[i] - s; |
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587 } |
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588 return result; |
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589 } |
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590 |
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591 static inline Complex * |
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238
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592 subtract (double s, const Complex *d, int len) |
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3
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593 { |
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594 Complex *result = 0; |
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595 if (len > 0) |
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596 { |
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597 result = new Complex [len]; |
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598 for (int i = 0; i < len; i++) |
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599 result[i] = s - d[i]; |
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600 } |
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601 return result; |
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602 } |
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603 |
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604 static inline Complex * |
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238
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605 subtract (Complex s, const double *d, int len) |
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3
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606 { |
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607 Complex *result = 0; |
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608 if (len > 0) |
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609 { |
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610 result = new Complex [len]; |
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611 for (int i = 0; i < len; i++) |
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612 result[i] = s - d[i]; |
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613 } |
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614 return result; |
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615 } |
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616 |
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617 static inline Complex * |
|
238
|
618 multiply (const Complex *d, int len, double s) |
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3
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619 { |
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620 Complex *result = 0; |
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621 if (len > 0) |
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622 { |
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623 result = new Complex [len]; |
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624 for (int i = 0; i < len; i++) |
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625 result[i] = d[i] * s; |
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626 } |
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627 return result; |
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628 } |
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629 |
|
|
630 static inline Complex * |
|
238
|
631 multiply (const double *d, int len, Complex s) |
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3
|
632 { |
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633 Complex *result = 0; |
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634 if (len > 0) |
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635 { |
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636 result = new Complex [len]; |
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637 for (int i = 0; i < len; i++) |
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638 result[i] = d[i] * s; |
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639 } |
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640 return result; |
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|
641 } |
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|
642 |
|
|
643 static inline Complex * |
|
238
|
644 divide (const Complex *d, int len, double s) |
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3
|
645 { |
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646 Complex *result = 0; |
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|
647 if (len > 0) |
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|
648 { |
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649 result = new Complex [len]; |
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|
650 for (int i = 0; i < len; i++) |
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651 result[i] = d[i] / s; |
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|
652 } |
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|
653 return result; |
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|
654 } |
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|
655 |
|
|
656 static inline Complex * |
|
238
|
657 divide (const double *d, int len, Complex s) |
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3
|
658 { |
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659 Complex *result = 0; |
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|
660 if (len > 0) |
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|
661 { |
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662 result = new Complex [len]; |
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663 for (int i = 0; i < len; i++) |
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|
664 result[i] = d[i] / s; |
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|
665 } |
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666 return result; |
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|
667 } |
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|
668 |
|
|
669 static inline Complex * |
|
238
|
670 divide (double s, const Complex *d, int len) |
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3
|
671 { |
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672 Complex *result = 0; |
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|
673 if (len > 0) |
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|
674 { |
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|
675 result = new Complex [len]; |
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|
676 for (int i = 0; i < len; i++) |
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677 result[i] = s / d[i]; |
|
|
678 } |
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|
679 return result; |
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|
680 } |
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|
681 |
|
|
682 static inline Complex * |
|
238
|
683 divide (Complex s, const double *d, int len) |
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3
|
684 { |
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685 Complex *result = 0; |
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|
686 if (len > 0) |
|
|
687 { |
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|
688 result = new Complex [len]; |
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|
689 for (int i = 0; i < len; i++) |
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|
690 result[i] = s / d[i]; |
|
|
691 } |
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|
692 return result; |
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|
693 } |
|
|
694 |
|
|
695 static inline Complex * |
|
238
|
696 add (const Complex *x, const double *y, int len) |
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3
|
697 { |
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|
698 Complex *result = 0; |
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|
699 if (len > 0) |
|
|
700 { |
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701 result = new Complex [len]; |
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|
702 for (int i = 0; i < len; i++) |
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|
703 result[i] = x[i] + y[i]; |
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|
704 } |
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|
705 return result; |
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|
706 } |
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|
707 |
|
|
708 static inline Complex * |
|
238
|
709 add (const double *x, const Complex *y, int len) |
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3
|
710 { |
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|
711 Complex *result = 0; |
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|
712 if (len > 0) |
|
|
713 { |
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|
714 result = new Complex [len]; |
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|
715 for (int i = 0; i < len; i++) |
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|
716 result[i] = x[i] + y[i]; |
|
|
717 } |
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|
718 return result; |
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|
719 } |
|
|
720 |
|
|
721 static inline Complex * |
|
238
|
722 subtract (const Complex *x, const double *y, int len) |
|
3
|
723 { |
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|
724 Complex *result = 0; |
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|
725 if (len > 0) |
|
|
726 { |
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|
727 result = new Complex [len]; |
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|
728 for (int i = 0; i < len; i++) |
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|
729 result[i] = x[i] - y[i]; |
|
|
730 } |
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|
731 return result; |
|
|
732 } |
|
|
733 |
|
|
734 static inline Complex * |
|
238
|
735 subtract (const double *x, const Complex *y, int len) |
|
3
|
736 { |
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|
737 Complex *result = 0; |
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|
738 if (len > 0) |
|
|
739 { |
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|
740 result = new Complex [len]; |
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|
741 for (int i = 0; i < len; i++) |
|
|
742 result[i] = x[i] - y[i]; |
|
|
743 } |
|
|
744 return result; |
|
|
745 } |
|
|
746 |
|
|
747 static inline Complex * |
|
238
|
748 multiply (const Complex *x, const double *y, int len) |
|
3
|
749 { |
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|
750 Complex *result = 0; |
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|
751 if (len > 0) |
|
|
752 { |
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|
753 result = new Complex [len]; |
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|
754 for (int i = 0; i < len; i++) |
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|
755 result[i] = x[i] * y[i]; |
|
|
756 } |
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|
757 return result; |
|
|
758 } |
|
|
759 |
|
|
760 static inline Complex * |
|
238
|
761 multiply (const double *x, const Complex *y, int len) |
|
3
|
762 { |
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|
763 Complex *result = 0; |
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|
764 if (len > 0) |
|
|
765 { |
|
|
766 result = new Complex [len]; |
|
|
767 for (int i = 0; i < len; i++) |
|
|
768 result[i] = x[i] * y[i]; |
|
|
769 } |
|
|
770 return result; |
|
|
771 } |
|
|
772 |
|
|
773 static inline Complex * |
|
238
|
774 divide (const Complex *x, const double *y, int len) |
|
3
|
775 { |
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|
776 Complex *result = 0; |
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|
777 if (len > 0) |
|
|
778 { |
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|
779 result = new Complex [len]; |
|
|
780 for (int i = 0; i < len; i++) |
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|
781 result[i] = x[i] / y[i]; |
|
|
782 } |
|
|
783 return result; |
|
|
784 } |
|
|
785 |
|
|
786 static inline Complex * |
|
238
|
787 divide (const double *x, const Complex *y, int len) |
|
3
|
788 { |
|
|
789 Complex *result = 0; |
|
|
790 if (len > 0) |
|
|
791 { |
|
|
792 result = new Complex [len]; |
|
|
793 for (int i = 0; i < len; i++) |
|
|
794 result[i] = x[i] / y[i]; |
|
|
795 } |
|
|
796 return result; |
|
|
797 } |
|
|
798 |
|
|
799 static inline Complex * |
|
238
|
800 add2 (Complex *x, const double *y, int len) |
|
3
|
801 { |
|
|
802 for (int i = 0; i < len; i++) |
|
|
803 x[i] += y[i]; |
|
|
804 return x; |
|
|
805 } |
|
|
806 |
|
|
807 static inline Complex * |
|
238
|
808 subtract2 (Complex *x, const double *y, int len) |
|
3
|
809 { |
|
|
810 for (int i = 0; i < len; i++) |
|
|
811 x[i] -= y[i]; |
|
|
812 return x; |
|
|
813 } |
|
|
814 |
|
|
815 static inline void |
|
|
816 copy (Complex *d, int len, double s) |
|
|
817 { |
|
|
818 for (int i = 0; i < len; i++) |
|
|
819 d[i] = s; |
|
|
820 } |
|
|
821 |
|
|
822 static inline void |
|
238
|
823 copy (Complex *x, const double *y, int len) |
|
3
|
824 { |
|
|
825 for (int i = 0; i < len; i++) |
|
|
826 x[i] = y[i]; |
|
|
827 } |
|
|
828 |
|
|
829 /* |
|
|
830 ;;; Local Variables: *** |
|
|
831 ;;; mode: C++ *** |
|
|
832 ;;; page-delimiter: "^/\\*" *** |
|
|
833 ;;; End: *** |
|
|
834 */ |
