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sparse-xpow.cc: Use faster multiplication technique, this time for complex
author Arun Giridhar <arungiridhar@gmail.com>
date Sun, 11 Sep 2022 13:53:38 -0400
parents 45984c799215
children 44cf6bbeeca9
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1 ////////////////////////////////////////////////////////////////////////
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2 //
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3 // Copyright (C) 1998-2022 The Octave Project Developers
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4 //
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5 // See the file COPYRIGHT.md in the top-level directory of this
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6 // distribution or <https://octave.org/copyright/>.
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7 //
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8 // This file is part of Octave.
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9 //
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10 // Octave is free software: you can redistribute it and/or modify it
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11 // under the terms of the GNU General Public License as published by
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12 // the Free Software Foundation, either version 3 of the License, or
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13 // (at your option) any later version.
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14 //
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15 // Octave is distributed in the hope that it will be useful, but
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16 // WITHOUT ANY WARRANTY; without even the implied warranty of
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17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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18 // GNU General Public License for more details.
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19 //
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20 // You should have received a copy of the GNU General Public License
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21 // along with Octave; see the file COPYING. If not, see
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22 // <https://www.gnu.org/licenses/>.
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23 //
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24 ////////////////////////////////////////////////////////////////////////
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25
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26 #if defined (HAVE_CONFIG_H)
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27 # include "config.h"
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28 #endif
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29
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30 #include <cassert>
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31
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32 #include <limits>
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33
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34 #include "Array-util.h"
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35 #include "oct-cmplx.h"
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36 #include "quit.h"
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37
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38 #include "error.h"
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39 #include "ovl.h"
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40 #include "utils.h"
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41
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42 #include "dSparse.h"
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43 #include "CSparse.h"
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44 #include "ov-re-sparse.h"
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45 #include "ov-cx-sparse.h"
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46 #include "sparse-xpow.h"
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47
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48 OCTAVE_NAMESPACE_BEGIN
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49
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50 static inline int
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51 xisint (double x)
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52 {
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53 return (octave::math::x_nint (x) == x
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54 && ((x >= 0 && x < std::numeric_limits<int>::max ())
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55 || (x <= 0 && x > std::numeric_limits<int>::min ())));
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56 }
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57
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58 // Safer pow functions. Only two make sense for sparse matrices, the
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59 // others should all promote to full matrices.
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60
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61 octave_value
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62 xpow (const SparseMatrix& a, double b)
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63 {
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64 octave_value retval;
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65
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66 octave_idx_type nr = a.rows ();
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67 octave_idx_type nc = a.cols ();
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68
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69 if (nr == 0 || nc == 0 || nr != nc)
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70 error ("for A^b, A must be a square matrix. Use .^ for elementwise power.");
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71
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72 if (! xisint (b))
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73 error ("use full(a) ^ full(b)");
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74
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75 int btmp = static_cast<int> (b);
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76 if (btmp == 0)
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77 {
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78 SparseMatrix tmp = SparseMatrix (nr, nr, nr);
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79 for (octave_idx_type i = 0; i < nr; i++)
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80 {
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81 tmp.data (i) = 1.0;
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82 tmp.ridx (i) = i;
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83 }
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84 for (octave_idx_type i = 0; i < nr + 1; i++)
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85 tmp.cidx (i) = i;
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86
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87 retval = tmp;
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88 }
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89 else
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90 {
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91 SparseMatrix atmp;
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92 if (btmp < 0)
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93 {
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94 btmp = -btmp;
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95
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96 octave_idx_type info;
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97 double rcond = 0.0;
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98 MatrixType mattyp (a);
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99
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100 atmp = a.inverse (mattyp, info, rcond, 1);
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101
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102 if (info == -1)
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103 warning ("inverse: matrix singular to machine precision, rcond = %g", rcond);
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104 }
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105 else
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106 atmp = a;
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107
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108 SparseMatrix result (atmp);
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109
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110 btmp--;
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111
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112 // There are two approaches to the actual exponentiation.
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113 // Exponentiation by squaring uses only a logarithmic number
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114 // of multiplications but the matrices it multiplies tend to be dense
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115 // towards the end.
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116 // Linear multiplication uses a linear number of multiplications
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117 // but one of the matrices it uses will be as sparse as the original matrix.
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118 //
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119 // The time to multiply fixed-size matrices is strongly affected by their
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120 // sparsity. Denser matrices take much longer to multiply together.
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121 // See this URL for a worked-through example:
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122 // https://octave.discourse.group/t/3216/4
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123 //
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124 // The tradeoff is between many fast multiplications or a few slow ones.
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125 //
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126 // Large exponents favor the squaring technique, and sparse matrices favor
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127 // linear multiplication.
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128 //
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129 // We calculate a threshold based on the sparsity of the input
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130 // and use squaring for exponents larger than that.
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131 //
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132 // FIXME: Improve this threshold calculation.
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133
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134 uint64_t sparsity = atmp.numel() / atmp.nnz(); // reciprocal of density
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135 int threshold = (sparsity >= 10000) ? 40
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136 : (sparsity >= 1000) ? 30
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137 : (sparsity >= 100) ? 20
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138 : 3;
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139
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140 if (btmp > threshold) // use squaring technique
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141 {
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142 while (btmp > 0)
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143 {
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144 if (btmp & 1)
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145 result = result * atmp;
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146
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147 btmp >>= 1;
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148
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149 if (btmp > 0)
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150 atmp = atmp * atmp;
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151 }
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152 }
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153 else // use linear multiplication
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154 {
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155 for (int i = 0; i < btmp; i++)
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156 result = result * atmp;
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157 }
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158
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159 retval = result;
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160 }
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161
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162 return retval;
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163 }
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164
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165 octave_value
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166 xpow (const SparseComplexMatrix& a, double b)
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167 {
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168 octave_value retval;
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169
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170 octave_idx_type nr = a.rows ();
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171 octave_idx_type nc = a.cols ();
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172
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173 if (nr == 0 || nc == 0 || nr != nc)
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174 error ("for A^b, A must be a square matrix. Use .^ for elementwise power.");
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175
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176 if (! xisint (b))
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177 error ("use full(a) ^ full(b)");
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178
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179 int btmp = static_cast<int> (b);
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180 if (btmp == 0)
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181 {
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182 SparseMatrix tmp = SparseMatrix (nr, nr, nr);
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183 for (octave_idx_type i = 0; i < nr; i++)
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184 {
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185 tmp.data (i) = 1.0;
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186 tmp.ridx (i) = i;
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187 }
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188 for (octave_idx_type i = 0; i < nr + 1; i++)
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189 tmp.cidx (i) = i;
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190
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191 retval = tmp;
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192 }
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193 else
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194 {
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195 SparseComplexMatrix atmp;
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196 if (btmp < 0)
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197 {
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198 btmp = -btmp;
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199
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200 octave_idx_type info;
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201 double rcond = 0.0;
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202 MatrixType mattyp (a);
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203
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204 atmp = a.inverse (mattyp, info, rcond, 1);
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205
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206 if (info == -1)
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e43d83253e28 refill multi-line macro definitions
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207 warning ("inverse: matrix singular to machine precision, rcond = %g", rcond);
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208 }
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209 else
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210 atmp = a;
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211
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212 SparseComplexMatrix result (atmp);
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213
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214 btmp--;
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215
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216 // Select multiplication sequence based on sparsity of atmp.
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217 // See the long comment in xpow (const SparseMatrix& a, double b)
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218 // for more details.
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219 //
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220 // FIXME: Improve this threshold calculation.
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221
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222 uint64_t sparsity = atmp.numel() / atmp.nnz(); // reciprocal of density
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223 int threshold = (sparsity >= 10000) ? 40
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224 : (sparsity >= 1000) ? 30
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225 : (sparsity >= 100) ? 20
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226 : 3;
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227
31225
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228 if (btmp > threshold) // use squaring technique
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229 {
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230 while (btmp > 0)
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diff changeset
231 {
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232 if (btmp & 1)
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diff changeset
233 result = result * atmp;
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234
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235 btmp >>= 1;
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236
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237 if (btmp > 0)
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238 atmp = atmp * atmp;
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239 }
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240 }
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241 else // use linear multiplication
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242 {
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243 for (int i = 0; i < btmp; i++)
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244 result = result * atmp;
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245 }
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246
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247 retval = result;
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248 }
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249
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250 return retval;
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251 }
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252
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253 // Safer pow functions that work elementwise for matrices.
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254 //
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255 // op2 \ op1: s m cs cm
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256 // +-- +---+---+----+----+
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257 // scalar | | * | 3 | * | 9 |
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258 // +---+---+----+----+
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259 // matrix | 1 | 4 | 7 | 10 |
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260 // +---+---+----+----+
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261 // complex_scalar | * | 5 | * | 11 |
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262 // +---+---+----+----+
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263 // complex_matrix | 2 | 6 | 8 | 12 |
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264 // +---+---+----+----+
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265 //
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266 // * -> not needed.
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267
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
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268 // FIXME: these functions need to be fixed so that things
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269 // like
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270 //
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271 // a = -1; b = [ 0, 0.5, 1 ]; r = a .^ b
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272 //
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273 // and
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274 //
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275 // a = -1; b = [ 0, 0.5, 1 ]; for i = 1:3, r(i) = a .^ b(i), end
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276 //
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277 // produce identical results. Also, it would be nice if -1^0.5
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278 // produced a pure imaginary result instead of a complex number with a
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279 // small real part. But perhaps that's really a problem with the math
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280 // library...
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281
15282
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282 // Handle special case of scalar-sparse-matrix .^ sparse-matrix.
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283 // Forwarding to the scalar elem_xpow function and then converting the
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284 // result back to a sparse matrix is a bit wasteful but it does not
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285 // seem worth the effort to optimize -- how often does this case come up
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286 // in practice?
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287
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288 template <typename S, typename SM>
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289 inline octave_value
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290 scalar_xpow (const S& a, const SM& b)
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291 {
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292 octave_value val = elem_xpow (a, b);
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293
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294 if (val.iscomplex ())
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295 return SparseComplexMatrix (val.complex_matrix_value ());
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296 else
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297 return SparseMatrix (val.matrix_value ());
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298 }
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299
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300 /*
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301 %!assert (sparse (2) .^ [3, 4], sparse ([8, 16]))
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302 %!assert <47775> (sparse (2i) .^ [3, 4], sparse ([-0-8i, 16]))
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303 */
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304
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305 // -*- 1 -*-
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306 octave_value
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307 elem_xpow (double a, const SparseMatrix& b)
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308 {
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309 octave_value retval;
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310
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311 octave_idx_type nr = b.rows ();
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312 octave_idx_type nc = b.cols ();
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313
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314 double d1, d2;
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315
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316 if (a < 0.0 && ! b.all_integers (d1, d2))
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317 {
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318 Complex atmp (a);
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319 ComplexMatrix result (nr, nc);
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320
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321 for (octave_idx_type j = 0; j < nc; j++)
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322 {
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323 for (octave_idx_type i = 0; i < nr; i++)
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324 {
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325 octave_quit ();
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326 result(i, j) = std::pow (atmp, b(i, j));
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327 }
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328 }
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329
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330 retval = result;
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331 }
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332 else
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333 {
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334 Matrix result (nr, nc);
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335
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336 for (octave_idx_type j = 0; j < nc; j++)
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337 {
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338 for (octave_idx_type i = 0; i < nr; i++)
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339 {
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340 octave_quit ();
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341 result(i, j) = std::pow (a, b(i, j));
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342 }
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343 }
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344
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345 retval = result;
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346 }
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347
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348 return retval;
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349 }
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350
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351 // -*- 2 -*-
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352 octave_value
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353 elem_xpow (double a, const SparseComplexMatrix& b)
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354 {
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355 octave_idx_type nr = b.rows ();
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356 octave_idx_type nc = b.cols ();
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357
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358 Complex atmp (a);
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359 ComplexMatrix result (nr, nc);
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360
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361 for (octave_idx_type j = 0; j < nc; j++)
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362 {
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363 for (octave_idx_type i = 0; i < nr; i++)
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364 {
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365 octave_quit ();
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366 result(i, j) = std::pow (atmp, b(i, j));
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367 }
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368 }
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369
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370 return result;
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371 }
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372
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373 // -*- 3 -*-
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374 octave_value
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375 elem_xpow (const SparseMatrix& a, double b)
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376 {
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377 // FIXME: What should a .^ 0 give? Matlab gives a
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378 // sparse matrix with same structure as a, which is strictly
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379 // incorrect. Keep compatibility.
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380
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381 octave_value retval;
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382
10527
b4d2080b6df7 Replace nzmax by nnz as needed
David Bateman <dbateman@free.fr>
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383 octave_idx_type nz = a.nnz ();
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384
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385 if (b <= 0.0)
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diff changeset
386 {
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387 octave_idx_type nr = a.rows ();
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388 octave_idx_type nc = a.cols ();
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389
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390 if (! xisint (b) && a.any_element_is_negative ())
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391 {
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diff changeset
392 ComplexMatrix result (nr, nc, Complex (std::pow (0.0, b)));
5164
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393
17787
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diff changeset
394 // FIXME: avoid apparent GNU libm bug by
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diff changeset
395 // converting A and B to complex instead of just A.
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396 Complex btmp (b);
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397
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398 for (octave_idx_type j = 0; j < nc; j++)
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diff changeset
399 for (octave_idx_type i = a.cidx (j); i < a.cidx (j+1); i++)
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400 {
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401 octave_quit ();
11586
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diff changeset
402
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diff changeset
403 Complex atmp (a.data (i));
11586
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diff changeset
404
14861
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diff changeset
405 result(a.ridx (i), j) = std::pow (atmp, btmp);
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diff changeset
406 }
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diff changeset
407
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diff changeset
408 retval = octave_value (result);
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diff changeset
409 }
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diff changeset
410 else
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diff changeset
411 {
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diff changeset
412 Matrix result (nr, nc, (std::pow (0.0, b)));
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diff changeset
413
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diff changeset
414 for (octave_idx_type j = 0; j < nc; j++)
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parents: 14138
diff changeset
415 for (octave_idx_type i = a.cidx (j); i < a.cidx (j+1); i++)
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diff changeset
416 {
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diff changeset
417 octave_quit ();
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diff changeset
418 result(a.ridx (i), j) = std::pow (a.data (i), b);
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419 }
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420
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421 retval = octave_value (result);
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diff changeset
422 }
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423 }
28144
c31c9eaa1f28 sparse-xpow.cc: use xisint instead of static_cast<int> to check int values
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diff changeset
424 else if (! xisint (b) && a.any_element_is_negative ())
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425 {
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diff changeset
426 SparseComplexMatrix result (a);
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diff changeset
427
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428 for (octave_idx_type i = 0; i < nz; i++)
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diff changeset
429 {
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diff changeset
430 octave_quit ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
431
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17749
diff changeset
432 // FIXME: avoid apparent GNU libm bug by
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
433 // converting A and B to complex instead of just A.
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
434
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
435 Complex atmp (a.data (i));
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
436 Complex btmp (b);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
437
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
438 result.data (i) = std::pow (atmp, btmp);
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
439 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
440
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
441 result.maybe_compress (true);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
442
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
443 retval = result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
444 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
445 else
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
446 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
447 SparseMatrix result (a);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
448
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
449 for (octave_idx_type i = 0; i < nz; i++)
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
450 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
451 octave_quit ();
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
452 result.data (i) = std::pow (a.data (i), b);
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
453 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
454
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
455 result.maybe_compress (true);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
456
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
457 retval = result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
458 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
459
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
460 return retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
461 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
462
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
463 // -*- 4 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
464 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
465 elem_xpow (const SparseMatrix& a, const SparseMatrix& b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
466 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
467 octave_value retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
468
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
469 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
470 octave_idx_type nc = a.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
471
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
472 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
473 octave_idx_type b_nc = b.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
474
15282
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
475 if (a.numel () == 1 && b.numel () > 1)
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
476 return scalar_xpow (a(0), b);
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
477
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
478 if (nr != b_nr || nc != b_nc)
22327
d0562b3159c7 move more classes inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
479 octave::err_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
480
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
481 int convert_to_complex = 0;
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
482 for (octave_idx_type j = 0; j < nc; j++)
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
483 for (octave_idx_type i = a.cidx (j); i < a.cidx (j+1); i++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
484 {
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
485 if (a.data(i) < 0.0)
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
486 {
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
487 double btmp = b (a.ridx (i), j);
28144
c31c9eaa1f28 sparse-xpow.cc: use xisint instead of static_cast<int> to check int values
John W. Eaton <jwe@octave.org>
parents: 27923
diff changeset
488 if (! xisint (btmp))
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
489 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
490 convert_to_complex = 1;
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
491 goto done;
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
492 }
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
493 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
494 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
495
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
496 done:
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
497
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
498 // This is a dumb operator for sparse matrices anyway, and there is
21751
b571fc85953f maint: Use two spaces after period to indicate sentence break.
Rik <rik@octave.org>
parents: 21724
diff changeset
499 // no sensible way to handle the 0.^0 versus the 0.^x cases. Therefore
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
500 // allocate a full matrix filled for the 0.^0 case and shrink it later
21751
b571fc85953f maint: Use two spaces after period to indicate sentence break.
Rik <rik@octave.org>
parents: 21724
diff changeset
501 // as needed.
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
502
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
503 if (convert_to_complex)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
504 {
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
505 SparseComplexMatrix complex_result (nr, nc, Complex (1.0, 0.0));
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
506
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
507 for (octave_idx_type j = 0; j < nc; j++)
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
508 {
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
509 for (octave_idx_type i = a.cidx (j); i < a.cidx (j+1); i++)
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
510 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
511 octave_quit ();
27277
db687716fed6 style fixes: generally aim to break long lines before operators, not after
John W. Eaton <jwe@octave.org>
parents: 26376
diff changeset
512 complex_result.xelem (a.ridx (i), j)
db687716fed6 style fixes: generally aim to break long lines before operators, not after
John W. Eaton <jwe@octave.org>
parents: 26376
diff changeset
513 = std::pow (Complex (a.data (i)), Complex (b(a.ridx (i), j)));
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
514 }
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
515 }
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
516 complex_result.maybe_compress (true);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
517 retval = complex_result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
518 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
519 else
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
520 {
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
521 SparseMatrix result (nr, nc, 1.0);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
522
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
523 for (octave_idx_type j = 0; j < nc; j++)
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
524 {
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
525 for (octave_idx_type i = a.cidx (j); i < a.cidx (j+1); i++)
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
526 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
527 octave_quit ();
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
528 result.xelem (a.ridx (i), j) = std::pow (a.data (i),
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
529 b(a.ridx (i), j));
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
530 }
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
531 }
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
532 result.maybe_compress (true);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
533 retval = result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
534 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
535
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
536 return retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
537 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
538
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
539 // -*- 5 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
540 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
541 elem_xpow (const SparseMatrix& a, const Complex& b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
542 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
543 octave_value retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
544
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
545 if (b == 0.0)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
546 // Can this case ever happen, due to automatic retyping with maybe_mutate?
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
547 retval = octave_value (NDArray (a.dims (), 1));
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
548 else
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
549 {
10527
b4d2080b6df7 Replace nzmax by nnz as needed
David Bateman <dbateman@free.fr>
parents: 10315
diff changeset
550 octave_idx_type nz = a.nnz ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
551 SparseComplexMatrix result (a);
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
552
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
553 for (octave_idx_type i = 0; i < nz; i++)
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
554 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
555 octave_quit ();
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
556 result.data (i) = std::pow (Complex (a.data (i)), b);
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
557 }
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
558
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
559 result.maybe_compress (true);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
560
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
561 retval = result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
562 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
563
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
564 return retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
565 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
566
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
567 // -*- 6 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
568 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
569 elem_xpow (const SparseMatrix& a, const SparseComplexMatrix& b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
570 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
571 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
572 octave_idx_type nc = a.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
573
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
574 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
575 octave_idx_type b_nc = b.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
576
15282
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
577 if (a.numel () == 1 && b.numel () > 1)
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
578 return scalar_xpow (a(0), b);
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
579
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
580 if (nr != b_nr || nc != b_nc)
22327
d0562b3159c7 move more classes inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
581 octave::err_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
582
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
583 SparseComplexMatrix result (nr, nc, Complex (1.0, 0.0));
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
584 for (octave_idx_type j = 0; j < nc; j++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
585 {
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
586 for (octave_idx_type i = a.cidx (j); i < a.cidx (j+1); i++)
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
587 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
588 octave_quit ();
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
589 result.xelem (a.ridx(i), j) = std::pow (a.data (i), b(a.ridx (i), j));
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
590 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
591 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
592
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
593 result.maybe_compress (true);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
594
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
595 return result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
596 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
597
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
598 // -*- 7 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
599 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
600 elem_xpow (const Complex& a, const SparseMatrix& b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
601 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
602 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
603 octave_idx_type nc = b.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
604
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
605 ComplexMatrix result (nr, nc);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
606
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
607 for (octave_idx_type j = 0; j < nc; j++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
608 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
609 for (octave_idx_type i = 0; i < nr; i++)
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
610 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
611 octave_quit ();
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
612 double btmp = b (i, j);
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
613 if (xisint (btmp))
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
614 result (i, j) = std::pow (a, static_cast<int> (btmp));
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
615 else
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
616 result (i, j) = std::pow (a, btmp);
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
617 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
618 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
619
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
620 return result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
621 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
622
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
623 // -*- 8 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
624 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
625 elem_xpow (const Complex& a, const SparseComplexMatrix& b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
626 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
627 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
628 octave_idx_type nc = b.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
629
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
630 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
631 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
632 for (octave_idx_type i = 0; i < nr; i++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
633 {
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
634 octave_quit ();
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
635 result (i, j) = std::pow (a, b (i, j));
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
636 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
637
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
638 return result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
639 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
640
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
641 // -*- 9 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
642 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
643 elem_xpow (const SparseComplexMatrix& a, double b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
644 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
645 octave_value retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
646
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
647 if (b <= 0)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
648 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
649 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
650 octave_idx_type nc = a.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
651
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
652 ComplexMatrix result (nr, nc, Complex (std::pow (0.0, b)));
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
653
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
654 if (xisint (b))
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
655 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
656 for (octave_idx_type j = 0; j < nc; j++)
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
657 for (octave_idx_type i = a.cidx (j); i < a.cidx (j+1); i++)
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
658 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
659 octave_quit ();
27277
db687716fed6 style fixes: generally aim to break long lines before operators, not after
John W. Eaton <jwe@octave.org>
parents: 26376
diff changeset
660 result (a.ridx (i), j)
db687716fed6 style fixes: generally aim to break long lines before operators, not after
John W. Eaton <jwe@octave.org>
parents: 26376
diff changeset
661 = std::pow (a.data (i), static_cast<int> (b));
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
662 }
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
663 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
664 else
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
665 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
666 for (octave_idx_type j = 0; j < nc; j++)
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
667 for (octave_idx_type i = a.cidx (j); i < a.cidx (j+1); i++)
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
668 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
669 octave_quit ();
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
670 result (a.ridx (i), j) = std::pow (a.data (i), b);
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
671 }
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
672 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
673
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
674 retval = result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
675 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
676 else
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
677 {
10527
b4d2080b6df7 Replace nzmax by nnz as needed
David Bateman <dbateman@free.fr>
parents: 10315
diff changeset
678 octave_idx_type nz = a.nnz ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
679
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
680 SparseComplexMatrix result (a);
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
681
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
682 if (xisint (b))
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
683 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
684 for (octave_idx_type i = 0; i < nz; i++)
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
685 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
686 octave_quit ();
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
687 result.data (i) = std::pow (a.data (i), static_cast<int> (b));
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
688 }
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
689 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
690 else
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
691 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
692 for (octave_idx_type i = 0; i < nz; i++)
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
693 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
694 octave_quit ();
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
695 result.data (i) = std::pow (a.data (i), b);
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
696 }
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
697 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
698
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
699 result.maybe_compress (true);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
700
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
701 retval = result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
702 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
703
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
704 return retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
705 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
706
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
707 // -*- 10 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
708 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
709 elem_xpow (const SparseComplexMatrix& a, const SparseMatrix& b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
710 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
711 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
712 octave_idx_type nc = a.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
713
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
714 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
715 octave_idx_type b_nc = b.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
716
15282
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
717 if (a.numel () == 1 && b.numel () > 1)
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
718 return scalar_xpow (a(0), b);
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
719
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
720 if (nr != b_nr || nc != b_nc)
22327
d0562b3159c7 move more classes inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
721 octave::err_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
722
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
723 SparseComplexMatrix result (nr, nc, Complex (1.0, 0.0));
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
724 for (octave_idx_type j = 0; j < nc; j++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
725 {
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
726 for (octave_idx_type i = a.cidx (j); i < a.cidx (j+1); i++)
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
727 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
728 octave_quit ();
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
729 double btmp = b(a.ridx (i), j);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
730
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
731 if (xisint (btmp))
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
732 result.xelem (a.ridx (i), j) = std::pow (a.data (i),
25103
078b795c5219 maint: style check C++ ahead of 4.4 release.
Rik <rik@octave.org>
parents: 25054
diff changeset
733 static_cast<int> (btmp));
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
734 else
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
735 result.xelem (a.ridx (i), j) = std::pow (a.data (i), btmp);
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
736 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
737 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
738
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
739 result.maybe_compress (true);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
740
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
741 return result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
742 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
743
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
744 // -*- 11 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
745 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
746 elem_xpow (const SparseComplexMatrix& a, const Complex& b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
747 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
748 octave_value retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
749
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
750 if (b == 0.0)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
751 // Can this case ever happen, due to automatic retyping with maybe_mutate?
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
752 retval = octave_value (NDArray (a.dims (), 1));
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
753 else
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
754 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
755
10527
b4d2080b6df7 Replace nzmax by nnz as needed
David Bateman <dbateman@free.fr>
parents: 10315
diff changeset
756 octave_idx_type nz = a.nnz ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
757
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
758 SparseComplexMatrix result (a);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
759
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
760 for (octave_idx_type i = 0; i < nz; i++)
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
761 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
762 octave_quit ();
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
763 result.data (i) = std::pow (a.data (i), b);
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
764 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
765
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
766 result.maybe_compress (true);
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
767
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
768 retval = result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
769 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
770
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
771 return retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
772 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
773
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
774 // -*- 12 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
775 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
776 elem_xpow (const SparseComplexMatrix& a, const SparseComplexMatrix& b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
777 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
778 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
779 octave_idx_type nc = a.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
780
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
781 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
782 octave_idx_type b_nc = b.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
783
15282
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
784 if (a.numel () == 1 && b.numel () > 1)
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
785 return scalar_xpow (a(0), b);
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
786
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
787 if (nr != b_nr || nc != b_nc)
22327
d0562b3159c7 move more classes inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
788 octave::err_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
789
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
790 SparseComplexMatrix result (nr, nc, Complex (1.0, 0.0));
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
791 for (octave_idx_type j = 0; j < nc; j++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
792 {
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
793 for (octave_idx_type i = a.cidx (j); i < a.cidx (j+1); i++)
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
794 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
795 octave_quit ();
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17749
diff changeset
796 result.xelem (a.ridx (i), j) = std::pow (a.data (i),
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17749
diff changeset
797 b(a.ridx (i), j));
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
798 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
799 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
800 result.maybe_compress (true);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
801
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
802 return result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
803 }
29990
b839c36fd106 move sparse xdiv and xpow operator functions inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 29358
diff changeset
804
b839c36fd106 move sparse xdiv and xpow operator functions inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 29358
diff changeset
805 OCTAVE_NAMESPACE_END