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1 /* |
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2 |
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3 Copyright (C) 2004 David Bateman |
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4 Copyright (C) 1998-2004 Andy Adler |
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5 |
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6 Octave is free software; you can redistribute it and/or modify it |
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7 under the terms of the GNU General Public License as published by the |
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8 Free Software Foundation; either version 2, or (at your option) any |
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9 later version. |
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10 |
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11 Octave is distributed in the hope that it will be useful, but WITHOUT |
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12 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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13 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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14 for more details. |
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15 |
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16 You should have received a copy of the GNU General Public License |
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17 along with this program; see the file COPYING. If not, write to the |
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18 Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, |
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19 Boston, MA 02110-1301, USA. |
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20 |
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21 */ |
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22 |
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23 #ifdef HAVE_CONFIG_H |
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24 #include <config.h> |
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25 #endif |
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26 |
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27 #include <cassert> |
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28 #include <climits> |
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29 |
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30 #include "Array-util.h" |
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31 #include "oct-cmplx.h" |
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32 #include "quit.h" |
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33 |
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34 #include "error.h" |
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35 #include "oct-obj.h" |
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36 #include "utils.h" |
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37 |
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38 #include "dSparse.h" |
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39 #include "CSparse.h" |
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40 #include "ov-re-sparse.h" |
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41 #include "ov-cx-sparse.h" |
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42 #include "sparse-xpow.h" |
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43 |
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44 static inline int |
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45 xisint (double x) |
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46 { |
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47 return (D_NINT (x) == x |
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48 && ((x >= 0 && x < INT_MAX) |
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49 || (x <= 0 && x > INT_MIN))); |
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50 } |
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51 |
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52 |
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53 // Safer pow functions. Only two make sense for sparse matrices, the |
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54 // others should all promote to full matrices. |
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55 |
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56 octave_value |
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57 xpow (const SparseMatrix& a, double b) |
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58 { |
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59 octave_value retval; |
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60 |
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61 octave_idx_type nr = a.rows (); |
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62 octave_idx_type nc = a.cols (); |
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63 |
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64 if (nr == 0 || nc == 0 || nr != nc) |
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65 error ("for A^b, A must be square"); |
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66 else |
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67 { |
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68 if (static_cast<int> (b) == b) |
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69 { |
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70 int btmp = static_cast<int> (b); |
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71 if (btmp == 0) |
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72 { |
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73 SparseMatrix tmp = SparseMatrix (nr, nr, nr); |
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74 for (octave_idx_type i = 0; i < nr; i++) |
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75 { |
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76 tmp.data (i) = 1.0; |
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77 tmp.ridx (i) = i; |
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78 } |
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79 for (octave_idx_type i = 0; i < nr + 1; i++) |
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80 tmp.cidx (i) = i; |
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81 |
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82 retval = tmp; |
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83 } |
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84 else |
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85 { |
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86 SparseMatrix atmp; |
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87 if (btmp < 0) |
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88 { |
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89 btmp = -btmp; |
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90 |
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91 octave_idx_type info; |
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92 double rcond = 0.0; |
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93 SparseType mattyp (a); |
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94 |
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95 atmp = a.inverse (mattyp, info, rcond, 1); |
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96 |
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97 if (info == -1) |
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98 warning ("inverse: matrix singular to machine\ |
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99 precision, rcond = %g", rcond); |
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100 } |
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101 else |
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102 atmp = a; |
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103 |
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104 SparseMatrix result (atmp); |
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105 |
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106 btmp--; |
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107 |
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108 while (btmp > 0) |
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109 { |
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110 if (btmp & 1) |
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111 result = result * atmp; |
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112 |
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113 btmp >>= 1; |
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114 |
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115 if (btmp > 0) |
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116 atmp = atmp * atmp; |
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117 } |
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118 |
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119 retval = result; |
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120 } |
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121 } |
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122 else |
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123 error ("use full(a) ^ full(b)"); |
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124 } |
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125 |
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126 return retval; |
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127 } |
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128 |
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129 octave_value |
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130 xpow (const SparseComplexMatrix& a, double b) |
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131 { |
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132 octave_value retval; |
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133 |
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134 octave_idx_type nr = a.rows (); |
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135 octave_idx_type nc = a.cols (); |
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136 |
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137 if (nr == 0 || nc == 0 || nr != nc) |
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138 error ("for A^b, A must be square"); |
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139 else |
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140 { |
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141 if (static_cast<int> (b) == b) |
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142 { |
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143 int btmp = static_cast<int> (b); |
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144 if (btmp == 0) |
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145 { |
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146 SparseMatrix tmp = SparseMatrix (nr, nr, nr); |
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147 for (octave_idx_type i = 0; i < nr; i++) |
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148 { |
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149 tmp.data (i) = 1.0; |
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150 tmp.ridx (i) = i; |
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151 } |
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152 for (octave_idx_type i = 0; i < nr + 1; i++) |
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153 tmp.cidx (i) = i; |
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154 |
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155 retval = tmp; |
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156 } |
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157 else |
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158 { |
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159 SparseComplexMatrix atmp; |
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160 if (btmp < 0) |
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161 { |
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162 btmp = -btmp; |
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163 |
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164 octave_idx_type info; |
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165 double rcond = 0.0; |
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166 SparseType mattyp (a); |
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167 |
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168 atmp = a.inverse (mattyp, info, rcond, 1); |
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169 |
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170 if (info == -1) |
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171 warning ("inverse: matrix singular to machine\ |
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172 precision, rcond = %g", rcond); |
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173 } |
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174 else |
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175 atmp = a; |
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176 |
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177 SparseComplexMatrix result (atmp); |
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178 |
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179 btmp--; |
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180 |
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181 while (btmp > 0) |
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182 { |
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183 if (btmp & 1) |
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184 result = result * atmp; |
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185 |
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186 btmp >>= 1; |
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187 |
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188 if (btmp > 0) |
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189 atmp = atmp * atmp; |
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190 } |
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191 |
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192 retval = result; |
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193 } |
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194 } |
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195 else |
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196 error ("use full(a) ^ full(b)"); |
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197 } |
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198 |
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199 return retval; |
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200 } |
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201 |
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202 // Safer pow functions that work elementwise for matrices. |
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203 // |
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204 // op2 \ op1: s m cs cm |
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205 // +-- +---+---+----+----+ |
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206 // scalar | | * | 3 | * | 9 | |
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207 // +---+---+----+----+ |
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208 // matrix | 1 | 4 | 7 | 10 | |
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209 // +---+---+----+----+ |
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210 // complex_scalar | * | 5 | * | 11 | |
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211 // +---+---+----+----+ |
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212 // complex_matrix | 2 | 6 | 8 | 12 | |
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213 // +---+---+----+----+ |
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214 // |
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215 // * -> not needed. |
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216 |
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217 // XXX FIXME XXX -- these functions need to be fixed so that things |
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218 // like |
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219 // |
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220 // a = -1; b = [ 0, 0.5, 1 ]; r = a .^ b |
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221 // |
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222 // and |
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223 // |
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224 // a = -1; b = [ 0, 0.5, 1 ]; for i = 1:3, r(i) = a .^ b(i), end |
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225 // |
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226 // produce identical results. Also, it would be nice if -1^0.5 |
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227 // produced a pure imaginary result instead of a complex number with a |
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228 // small real part. But perhaps that's really a problem with the math |
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229 // library... |
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230 |
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231 // -*- 1 -*- |
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232 octave_value |
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233 elem_xpow (double a, const SparseMatrix& b) |
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234 { |
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235 octave_value retval; |
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236 |
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237 octave_idx_type nr = b.rows (); |
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238 octave_idx_type nc = b.cols (); |
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239 |
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240 double d1, d2; |
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241 |
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242 if (a < 0.0 && ! b.all_integers (d1, d2)) |
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243 { |
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244 Complex atmp (a); |
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245 ComplexMatrix result (nr, nc); |
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246 |
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247 for (octave_idx_type j = 0; j < nc; j++) |
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248 { |
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249 for (octave_idx_type i = 0; i < nr; i++) |
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250 { |
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251 OCTAVE_QUIT; |
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252 result (i, j) = pow (atmp, b(i,j)); |
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253 } |
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254 } |
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255 |
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256 retval = result; |
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257 } |
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258 else |
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259 { |
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260 Matrix result (nr, nc); |
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261 |
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262 for (octave_idx_type j = 0; j < nc; j++) |
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263 { |
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264 for (octave_idx_type i = 0; i < nr; i++) |
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265 { |
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266 OCTAVE_QUIT; |
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267 result (i, j) = pow (a, b(i,j)); |
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268 } |
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269 } |
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270 |
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271 retval = result; |
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272 } |
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273 |
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274 return retval; |
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275 } |
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276 |
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277 // -*- 2 -*- |
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278 octave_value |
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279 elem_xpow (double a, const SparseComplexMatrix& b) |
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280 { |
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281 octave_idx_type nr = b.rows (); |
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282 octave_idx_type nc = b.cols (); |
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283 |
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284 Complex atmp (a); |
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285 ComplexMatrix result (nr, nc); |
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286 |
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287 for (octave_idx_type j = 0; j < nc; j++) |
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288 { |
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289 for (octave_idx_type i = 0; i < nr; i++) |
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290 { |
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291 OCTAVE_QUIT; |
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292 result (i, j) = pow (atmp, b(i,j)); |
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293 } |
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294 } |
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295 |
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296 return result; |
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297 } |
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298 |
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299 // -*- 3 -*- |
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300 octave_value |
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301 elem_xpow (const SparseMatrix& a, double b) |
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302 { |
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303 // XXX FIXME XXX What should a .^ 0 give?? Matlab gives a |
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304 // sparse matrix with same structure as a, which is strictly |
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305 // incorrect. Keep compatiability. |
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306 |
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307 octave_value retval; |
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308 |
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309 octave_idx_type nz = a.nnz (); |
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310 |
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311 if (b <= 0.0) |
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312 { |
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313 octave_idx_type nr = a.rows (); |
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314 octave_idx_type nc = a.cols (); |
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315 |
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316 if (static_cast<int> (b) != b && a.any_element_is_negative ()) |
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317 { |
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318 ComplexMatrix result (nr, nc, Complex (pow (0.0, b))); |
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319 |
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320 // XXX FIXME XXX -- avoid apparent GNU libm bug by |
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321 // converting A and B to complex instead of just A. |
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322 Complex btmp (b); |
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323 |
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324 for (octave_idx_type j = 0; j < nc; j++) |
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325 for (octave_idx_type i = a.cidx(j); i < a.cidx(j+1); i++) |
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326 { |
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327 OCTAVE_QUIT; |
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328 |
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329 Complex atmp (a.data (i)); |
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330 |
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331 result (a.ridx(i), j) = pow (atmp, btmp); |
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332 } |
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333 |
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334 retval = octave_value (result); |
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335 } |
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336 else |
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337 { |
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338 Matrix result (nr, nc, (pow (0.0, b))); |
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339 |
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340 for (octave_idx_type j = 0; j < nc; j++) |
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341 for (octave_idx_type i = a.cidx(j); i < a.cidx(j+1); i++) |
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342 { |
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343 OCTAVE_QUIT; |
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344 result (a.ridx(i), j) = pow (a.data (i), b); |
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345 } |
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346 |
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347 retval = octave_value (result); |
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348 } |
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349 } |
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350 else if (static_cast<int> (b) != b && a.any_element_is_negative ()) |
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351 { |
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352 SparseComplexMatrix result (a); |
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353 |
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354 for (octave_idx_type i = 0; i < nz; i++) |
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355 { |
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356 OCTAVE_QUIT; |
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357 |
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358 // XXX FIXME XXX -- avoid apparent GNU libm bug by |
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359 // converting A and B to complex instead of just A. |
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360 |
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361 Complex atmp (a.data (i)); |
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362 Complex btmp (b); |
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363 |
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364 result.data (i) = pow (atmp, btmp); |
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365 } |
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366 |
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367 result.maybe_compress (true); |
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368 |
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369 retval = result; |
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370 } |
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371 else |
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372 { |
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373 SparseMatrix result (a); |
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374 |
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375 for (octave_idx_type i = 0; i < nz; i++) |
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376 { |
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377 OCTAVE_QUIT; |
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378 result.data (i) = pow (a.data (i), b); |
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379 } |
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380 |
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381 result.maybe_compress (true); |
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382 |
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383 retval = result; |
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384 } |
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385 |
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386 return retval; |
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387 } |
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388 |
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389 // -*- 4 -*- |
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390 octave_value |
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391 elem_xpow (const SparseMatrix& a, const SparseMatrix& b) |
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392 { |
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393 octave_value retval; |
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394 |
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395 octave_idx_type nr = a.rows (); |
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396 octave_idx_type nc = a.cols (); |
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397 |
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398 octave_idx_type b_nr = b.rows (); |
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399 octave_idx_type b_nc = b.cols (); |
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400 |
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401 if (nr != b_nr || nc != b_nc) |
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402 { |
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403 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc); |
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404 return octave_value (); |
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405 } |
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406 |
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407 int convert_to_complex = 0; |
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408 for (octave_idx_type j = 0; j < nc; j++) |
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409 for (octave_idx_type i = 0; i < nr; i++) |
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410 { |
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411 OCTAVE_QUIT; |
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412 double atmp = a (i, j); |
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413 double btmp = b (i, j); |
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414 if (atmp < 0.0 && static_cast<int> (btmp) != btmp) |
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415 { |
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416 convert_to_complex = 1; |
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417 goto done; |
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418 } |
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419 } |
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420 |
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421 done: |
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422 |
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423 octave_idx_type nel = 0; |
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424 for (octave_idx_type j = 0; j < nc; j++) |
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425 for (octave_idx_type i = 0; i < nr; i++) |
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426 if (!(a.elem (i, j) == 0. && b.elem (i, j) != 0.)) |
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427 nel++; |
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428 |
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429 if (convert_to_complex) |
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430 { |
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431 SparseComplexMatrix complex_result (nr, nc, nel); |
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432 |
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433 octave_idx_type ii = 0; |
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434 complex_result.cidx(0) = 0; |
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435 for (octave_idx_type j = 0; j < nc; j++) |
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436 { |
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437 for (octave_idx_type i = 0; i < nr; i++) |
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438 { |
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439 OCTAVE_QUIT; |
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440 Complex atmp (a (i, j)); |
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441 Complex btmp (b (i, j)); |
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442 Complex tmp = pow (atmp, btmp); |
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443 if (tmp != 0.) |
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444 { |
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445 complex_result.data (ii) = tmp; |
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446 complex_result.ridx (ii++) = i; |
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447 } |
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448 } |
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449 complex_result.cidx (j+1) = ii; |
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450 } |
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451 complex_result.maybe_compress (); |
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452 |
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453 retval = complex_result; |
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454 } |
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455 else |
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456 { |
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457 SparseMatrix result (nr, nc, nel); |
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458 octave_idx_type ii = 0; |
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459 |
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460 result.cidx (0) = 0; |
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461 for (octave_idx_type j = 0; j < nc; j++) |
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462 { |
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463 for (octave_idx_type i = 0; i < nr; i++) |
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464 { |
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465 OCTAVE_QUIT; |
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466 double tmp = pow (a (i, j), b (i, j)); |
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467 if (tmp != 0.) |
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468 { |
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469 result.data (ii) = tmp; |
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470 result.ridx (ii++) = i; |
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471 } |
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472 } |
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473 result.cidx (j+1) = ii; |
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474 } |
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475 |
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476 result.maybe_compress (); |
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477 |
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478 retval = result; |
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479 } |
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480 |
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481 return retval; |
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482 } |
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483 |
|
|
484 // -*- 5 -*- |
|
|
485 octave_value |
|
|
486 elem_xpow (const SparseMatrix& a, const Complex& b) |
|
|
487 { |
|
|
488 octave_value retval; |
|
|
489 |
|
|
490 if (b == 0.0) |
|
|
491 // Can this case ever happen, due to automatic retyping with maybe_mutate? |
|
|
492 retval = octave_value (NDArray (a.dims (), 1)); |
|
|
493 else |
|
|
494 { |
|
5275
|
495 octave_idx_type nz = a.nnz (); |
|
5164
|
496 SparseComplexMatrix result (a); |
|
|
497 |
|
5275
|
498 for (octave_idx_type i = 0; i < nz; i++) |
|
5164
|
499 { |
|
|
500 OCTAVE_QUIT; |
|
|
501 result.data (i) = pow (Complex (a.data (i)), b); |
|
|
502 } |
|
|
503 |
|
|
504 result.maybe_compress (true); |
|
|
505 |
|
|
506 retval = result; |
|
|
507 } |
|
|
508 |
|
|
509 return retval; |
|
|
510 } |
|
|
511 |
|
|
512 // -*- 6 -*- |
|
|
513 octave_value |
|
|
514 elem_xpow (const SparseMatrix& a, const SparseComplexMatrix& b) |
|
|
515 { |
|
5275
|
516 octave_idx_type nr = a.rows (); |
|
|
517 octave_idx_type nc = a.cols (); |
|
5164
|
518 |
|
5275
|
519 octave_idx_type b_nr = b.rows (); |
|
|
520 octave_idx_type b_nc = b.cols (); |
|
5164
|
521 |
|
|
522 if (nr != b_nr || nc != b_nc) |
|
|
523 { |
|
|
524 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc); |
|
|
525 return octave_value (); |
|
|
526 } |
|
|
527 |
|
5275
|
528 octave_idx_type nel = 0; |
|
|
529 for (octave_idx_type j = 0; j < nc; j++) |
|
|
530 for (octave_idx_type i = 0; i < nr; i++) |
|
5164
|
531 if (!(a.elem (i, j) == 0. && b.elem (i, j) != 0.)) |
|
|
532 nel++; |
|
|
533 |
|
|
534 SparseComplexMatrix result (nr, nc, nel); |
|
5275
|
535 octave_idx_type ii = 0; |
|
5164
|
536 |
|
|
537 result.cidx(0) = 0; |
|
5275
|
538 for (octave_idx_type j = 0; j < nc; j++) |
|
5164
|
539 { |
|
5275
|
540 for (octave_idx_type i = 0; i < nr; i++) |
|
5164
|
541 { |
|
|
542 OCTAVE_QUIT; |
|
|
543 Complex tmp = pow (Complex (a (i, j)), b (i, j)); |
|
|
544 if (tmp != 0.) |
|
|
545 { |
|
|
546 result.data (ii) = tmp; |
|
|
547 result.ridx (ii++) = i; |
|
|
548 } |
|
|
549 } |
|
|
550 result.cidx (j+1) = ii; |
|
|
551 } |
|
|
552 |
|
|
553 result.maybe_compress (); |
|
|
554 |
|
|
555 return result; |
|
|
556 } |
|
|
557 |
|
|
558 // -*- 7 -*- |
|
|
559 octave_value |
|
|
560 elem_xpow (const Complex& a, const SparseMatrix& b) |
|
|
561 { |
|
5275
|
562 octave_idx_type nr = b.rows (); |
|
|
563 octave_idx_type nc = b.cols (); |
|
5164
|
564 |
|
|
565 ComplexMatrix result (nr, nc); |
|
|
566 |
|
5275
|
567 for (octave_idx_type j = 0; j < nc; j++) |
|
5164
|
568 { |
|
5275
|
569 for (octave_idx_type i = 0; i < nr; i++) |
|
5164
|
570 { |
|
|
571 OCTAVE_QUIT; |
|
|
572 double btmp = b (i, j); |
|
|
573 if (xisint (btmp)) |
|
|
574 result (i, j) = pow (a, static_cast<int> (btmp)); |
|
|
575 else |
|
|
576 result (i, j) = pow (a, btmp); |
|
|
577 } |
|
|
578 } |
|
|
579 |
|
|
580 return result; |
|
|
581 } |
|
|
582 |
|
|
583 // -*- 8 -*- |
|
|
584 octave_value |
|
|
585 elem_xpow (const Complex& a, const SparseComplexMatrix& b) |
|
|
586 { |
|
5275
|
587 octave_idx_type nr = b.rows (); |
|
|
588 octave_idx_type nc = b.cols (); |
|
5164
|
589 |
|
|
590 ComplexMatrix result (nr, nc); |
|
5275
|
591 for (octave_idx_type j = 0; j < nc; j++) |
|
|
592 for (octave_idx_type i = 0; i < nr; i++) |
|
5164
|
593 { |
|
|
594 OCTAVE_QUIT; |
|
|
595 result (i, j) = pow (a, b (i, j)); |
|
|
596 } |
|
|
597 |
|
|
598 return result; |
|
|
599 } |
|
|
600 |
|
|
601 // -*- 9 -*- |
|
|
602 octave_value |
|
|
603 elem_xpow (const SparseComplexMatrix& a, double b) |
|
|
604 { |
|
|
605 octave_value retval; |
|
|
606 |
|
|
607 if (b <= 0) |
|
|
608 { |
|
5275
|
609 octave_idx_type nr = a.rows (); |
|
|
610 octave_idx_type nc = a.cols (); |
|
5164
|
611 |
|
|
612 ComplexMatrix result (nr, nc, Complex (pow (0.0, b))); |
|
|
613 |
|
|
614 if (xisint (b)) |
|
|
615 { |
|
5275
|
616 for (octave_idx_type j = 0; j < nc; j++) |
|
|
617 for (octave_idx_type i = a.cidx(j); i < a.cidx(j+1); i++) |
|
5164
|
618 { |
|
|
619 OCTAVE_QUIT; |
|
|
620 result (a.ridx(i), j) = |
|
|
621 pow (a.data (i), static_cast<int> (b)); |
|
|
622 } |
|
|
623 } |
|
|
624 else |
|
|
625 { |
|
5275
|
626 for (octave_idx_type j = 0; j < nc; j++) |
|
|
627 for (octave_idx_type i = a.cidx(j); i < a.cidx(j+1); i++) |
|
5164
|
628 { |
|
|
629 OCTAVE_QUIT; |
|
|
630 result (a.ridx(i), j) = pow (a.data (i), b); |
|
|
631 } |
|
|
632 } |
|
|
633 |
|
|
634 retval = result; |
|
|
635 } |
|
|
636 else |
|
|
637 { |
|
5275
|
638 octave_idx_type nz = a.nnz (); |
|
5164
|
639 |
|
|
640 SparseComplexMatrix result (a); |
|
|
641 |
|
|
642 if (xisint (b)) |
|
|
643 { |
|
5275
|
644 for (octave_idx_type i = 0; i < nz; i++) |
|
5164
|
645 { |
|
|
646 OCTAVE_QUIT; |
|
|
647 result.data (i) = pow (a.data (i), static_cast<int> (b)); |
|
|
648 } |
|
|
649 } |
|
|
650 else |
|
|
651 { |
|
5275
|
652 for (octave_idx_type i = 0; i < nz; i++) |
|
5164
|
653 { |
|
|
654 OCTAVE_QUIT; |
|
|
655 result.data (i) = pow (a.data (i), b); |
|
|
656 } |
|
|
657 } |
|
|
658 |
|
|
659 result.maybe_compress (true); |
|
|
660 |
|
|
661 retval = result; |
|
|
662 } |
|
|
663 |
|
|
664 return retval; |
|
|
665 } |
|
|
666 |
|
|
667 // -*- 10 -*- |
|
|
668 octave_value |
|
|
669 elem_xpow (const SparseComplexMatrix& a, const SparseMatrix& b) |
|
|
670 { |
|
5275
|
671 octave_idx_type nr = a.rows (); |
|
|
672 octave_idx_type nc = a.cols (); |
|
5164
|
673 |
|
5275
|
674 octave_idx_type b_nr = b.rows (); |
|
|
675 octave_idx_type b_nc = b.cols (); |
|
5164
|
676 |
|
|
677 if (nr != b_nr || nc != b_nc) |
|
|
678 { |
|
|
679 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc); |
|
|
680 return octave_value (); |
|
|
681 } |
|
|
682 |
|
5275
|
683 octave_idx_type nel = 0; |
|
|
684 for (octave_idx_type j = 0; j < nc; j++) |
|
|
685 for (octave_idx_type i = 0; i < nr; i++) |
|
5164
|
686 if (!(a.elem (i, j) == 0. && b.elem (i, j) != 0.)) |
|
|
687 nel++; |
|
|
688 |
|
|
689 SparseComplexMatrix result (nr, nc, nel); |
|
5275
|
690 octave_idx_type ii = 0; |
|
5164
|
691 |
|
|
692 result.cidx (0) = 0; |
|
5275
|
693 for (octave_idx_type j = 0; j < nc; j++) |
|
5164
|
694 { |
|
5275
|
695 for (octave_idx_type i = 0; i < nr; i++) |
|
5164
|
696 { |
|
|
697 OCTAVE_QUIT; |
|
|
698 double btmp = b (i, j); |
|
|
699 Complex tmp; |
|
|
700 |
|
|
701 if (xisint (btmp)) |
|
|
702 tmp = pow (a (i, j), static_cast<int> (btmp)); |
|
|
703 else |
|
|
704 tmp = pow (a (i, j), btmp); |
|
|
705 if (tmp != 0.) |
|
|
706 { |
|
|
707 result.data (ii) = tmp; |
|
|
708 result.ridx (ii++) = i; |
|
|
709 } |
|
|
710 } |
|
|
711 result.cidx (j+1) = ii; |
|
|
712 } |
|
|
713 |
|
|
714 result.maybe_compress (); |
|
|
715 |
|
|
716 return result; |
|
|
717 } |
|
|
718 |
|
|
719 // -*- 11 -*- |
|
|
720 octave_value |
|
|
721 elem_xpow (const SparseComplexMatrix& a, const Complex& b) |
|
|
722 { |
|
|
723 octave_value retval; |
|
|
724 |
|
|
725 if (b == 0.0) |
|
|
726 // Can this case ever happen, due to automatic retyping with maybe_mutate? |
|
|
727 retval = octave_value (NDArray (a.dims (), 1)); |
|
|
728 else |
|
|
729 { |
|
|
730 |
|
5275
|
731 octave_idx_type nz = a.nnz (); |
|
5164
|
732 |
|
|
733 SparseComplexMatrix result (a); |
|
|
734 |
|
5275
|
735 for (octave_idx_type i = 0; i < nz; i++) |
|
5164
|
736 { |
|
|
737 OCTAVE_QUIT; |
|
|
738 result.data (i) = pow (a.data (i), b); |
|
|
739 } |
|
|
740 |
|
|
741 result.maybe_compress (true); |
|
|
742 |
|
|
743 retval = result; |
|
|
744 } |
|
|
745 |
|
|
746 return retval; |
|
|
747 } |
|
|
748 |
|
|
749 // -*- 12 -*- |
|
|
750 octave_value |
|
|
751 elem_xpow (const SparseComplexMatrix& a, const SparseComplexMatrix& b) |
|
|
752 { |
|
5275
|
753 octave_idx_type nr = a.rows (); |
|
|
754 octave_idx_type nc = a.cols (); |
|
5164
|
755 |
|
5275
|
756 octave_idx_type b_nr = b.rows (); |
|
|
757 octave_idx_type b_nc = b.cols (); |
|
5164
|
758 |
|
|
759 if (nr != b_nr || nc != b_nc) |
|
|
760 { |
|
|
761 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc); |
|
|
762 return octave_value (); |
|
|
763 } |
|
|
764 |
|
5275
|
765 octave_idx_type nel = 0; |
|
|
766 for (octave_idx_type j = 0; j < nc; j++) |
|
|
767 for (octave_idx_type i = 0; i < nr; i++) |
|
5164
|
768 if (!(a.elem (i, j) == 0. && b.elem (i, j) != 0.)) |
|
|
769 nel++; |
|
|
770 |
|
|
771 SparseComplexMatrix result (nr, nc, nel); |
|
5275
|
772 octave_idx_type ii = 0; |
|
5164
|
773 |
|
|
774 result.cidx (0) = 0; |
|
5275
|
775 for (octave_idx_type j = 0; j < nc; j++) |
|
5164
|
776 { |
|
5275
|
777 for (octave_idx_type i = 0; i < nr; i++) |
|
5164
|
778 { |
|
|
779 OCTAVE_QUIT; |
|
|
780 Complex tmp = pow (a (i, j), b (i, j)); |
|
|
781 if (tmp != 0.) |
|
|
782 { |
|
|
783 result.data (ii) = tmp; |
|
|
784 result.ridx (ii++) = i; |
|
|
785 } |
|
|
786 } |
|
|
787 result.cidx (j+1) = ii; |
|
|
788 } |
|
|
789 result.maybe_compress (true); |
|
|
790 |
|
|
791 return result; |
|
|
792 } |
|
|
793 |
|
|
794 /* |
|
|
795 ;;; Local Variables: *** |
|
|
796 ;;; mode: C++ *** |
|
|
797 ;;; End: *** |
|
|
798 */ |
