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sparse-xpow.cc: Use faster multiplication technique based on input matrix sparsity
author Arun Giridhar <arungiridhar@gmail.com>
date Sat, 10 Sep 2022 15:44:05 -0400
parents 796f54d4ddbf
children 3eab70385569
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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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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 while (btmp > 0)
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217 {
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218 if (btmp & 1)
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219 result = result * atmp;
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220
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221 btmp >>= 1;
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222
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223 if (btmp > 0)
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224 atmp = atmp * atmp;
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225 }
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226
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227 retval = result;
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228 }
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229
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230 return retval;
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231 }
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232
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233 // Safer pow functions that work elementwise for matrices.
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234 //
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235 // op2 \ op1: s m cs cm
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236 // +-- +---+---+----+----+
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237 // scalar | | * | 3 | * | 9 |
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238 // +---+---+----+----+
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239 // matrix | 1 | 4 | 7 | 10 |
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240 // +---+---+----+----+
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241 // complex_scalar | * | 5 | * | 11 |
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242 // +---+---+----+----+
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243 // complex_matrix | 2 | 6 | 8 | 12 |
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244 // +---+---+----+----+
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245 //
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246 // * -> not needed.
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247
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
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248 // FIXME: these functions need to be fixed so that things
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249 // like
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250 //
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251 // a = -1; b = [ 0, 0.5, 1 ]; r = a .^ b
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252 //
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253 // and
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254 //
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255 // a = -1; b = [ 0, 0.5, 1 ]; for i = 1:3, r(i) = a .^ b(i), end
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256 //
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257 // produce identical results. Also, it would be nice if -1^0.5
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258 // produced a pure imaginary result instead of a complex number with a
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259 // small real part. But perhaps that's really a problem with the math
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260 // library...
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261
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262 // Handle special case of scalar-sparse-matrix .^ sparse-matrix.
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263 // Forwarding to the scalar elem_xpow function and then converting the
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diff changeset
264 // result back to a sparse matrix is a bit wasteful but it does not
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265 // seem worth the effort to optimize -- how often does this case come up
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266 // in practice?
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267
21139
538b57866b90 consistently use "typename" intead of "class" in template declarations
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268 template <typename S, typename SM>
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diff changeset
269 inline octave_value
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diff changeset
270 scalar_xpow (const S& a, const SM& b)
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diff changeset
271 {
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272 octave_value val = elem_xpow (a, b);
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273
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274 if (val.iscomplex ())
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275 return SparseComplexMatrix (val.complex_matrix_value ());
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276 else
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277 return SparseMatrix (val.matrix_value ());
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278 }
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279
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280 /*
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281 %!assert (sparse (2) .^ [3, 4], sparse ([8, 16]))
22470
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282 %!assert <47775> (sparse (2i) .^ [3, 4], sparse ([-0-8i, 16]))
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283 */
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284
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285 // -*- 1 -*-
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286 octave_value
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diff changeset
287 elem_xpow (double a, const SparseMatrix& b)
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diff changeset
288 {
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289 octave_value retval;
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290
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291 octave_idx_type nr = b.rows ();
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292 octave_idx_type nc = b.cols ();
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293
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294 double d1, d2;
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diff changeset
295
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296 if (a < 0.0 && ! b.all_integers (d1, d2))
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297 {
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298 Complex atmp (a);
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299 ComplexMatrix result (nr, nc);
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300
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301 for (octave_idx_type j = 0; j < nc; j++)
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302 {
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303 for (octave_idx_type i = 0; i < nr; i++)
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304 {
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305 octave_quit ();
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306 result(i, j) = std::pow (atmp, b(i, j));
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307 }
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308 }
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309
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310 retval = result;
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311 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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312 else
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313 {
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314 Matrix result (nr, nc);
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315
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316 for (octave_idx_type j = 0; j < nc; j++)
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317 {
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318 for (octave_idx_type i = 0; i < nr; i++)
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319 {
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320 octave_quit ();
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321 result(i, j) = std::pow (a, b(i, j));
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322 }
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323 }
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324
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325 retval = result;
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326 }
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327
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328 return retval;
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329 }
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330
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331 // -*- 2 -*-
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332 octave_value
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333 elem_xpow (double a, const SparseComplexMatrix& b)
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334 {
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335 octave_idx_type nr = b.rows ();
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336 octave_idx_type nc = b.cols ();
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337
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338 Complex atmp (a);
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339 ComplexMatrix result (nr, nc);
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340
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341 for (octave_idx_type j = 0; j < nc; j++)
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342 {
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343 for (octave_idx_type i = 0; i < nr; i++)
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344 {
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345 octave_quit ();
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346 result(i, j) = std::pow (atmp, b(i, j));
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347 }
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348 }
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349
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350 return result;
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351 }
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352
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353 // -*- 3 -*-
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354 octave_value
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355 elem_xpow (const SparseMatrix& a, double b)
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356 {
17861
870f3e12e163 maint: Use phrase "FIXME:" for problem areas in code.
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357 // FIXME: What should a .^ 0 give? Matlab gives a
5164
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358 // sparse matrix with same structure as a, which is strictly
21751
b571fc85953f maint: Use two spaces after period to indicate sentence break.
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359 // incorrect. Keep compatibility.
5164
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360
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diff changeset
361 octave_value retval;
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diff changeset
362
10527
b4d2080b6df7 Replace nzmax by nnz as needed
David Bateman <dbateman@free.fr>
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diff changeset
363 octave_idx_type nz = a.nnz ();
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364
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365 if (b <= 0.0)
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diff changeset
366 {
5275
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diff changeset
367 octave_idx_type nr = a.rows ();
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368 octave_idx_type nc = a.cols ();
5164
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369
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c31c9eaa1f28 sparse-xpow.cc: use xisint instead of static_cast<int> to check int values
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370 if (! xisint (b) && a.any_element_is_negative ())
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371 {
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diff changeset
372 ComplexMatrix result (nr, nc, Complex (std::pow (0.0, b)));
5164
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373
17787
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Rik <rik@octave.org>
parents: 17749
diff changeset
374 // FIXME: avoid apparent GNU libm bug by
10315
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diff changeset
375 // converting A and B to complex instead of just A.
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diff changeset
376 Complex btmp (b);
5164
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diff changeset
377
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diff changeset
378 for (octave_idx_type j = 0; j < nc; j++)
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
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parents: 14138
diff changeset
379 for (octave_idx_type i = a.cidx (j); i < a.cidx (j+1); i++)
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diff changeset
380 {
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diff changeset
381 octave_quit ();
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
382
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diff changeset
383 Complex atmp (a.data (i));
11586
12df7854fa7c strip trailing whitespace from source files
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diff changeset
384
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
385 result(a.ridx (i), j) = std::pow (atmp, btmp);
10315
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diff changeset
386 }
5164
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diff changeset
387
10315
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diff changeset
388 retval = octave_value (result);
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diff changeset
389 }
5164
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diff changeset
390 else
10315
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diff changeset
391 {
57a59eae83cc untabify src C++ source files
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diff changeset
392 Matrix result (nr, nc, (std::pow (0.0, b)));
5164
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jwe
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diff changeset
393
10315
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diff changeset
394 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
395 for (octave_idx_type i = a.cidx (j); i < a.cidx (j+1); i++)
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diff changeset
396 {
57a59eae83cc untabify src C++ source files
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diff changeset
397 octave_quit ();
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
398 result(a.ridx (i), j) = std::pow (a.data (i), b);
10315
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diff changeset
399 }
5164
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diff changeset
400
10315
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diff changeset
401 retval = octave_value (result);
57a59eae83cc untabify src C++ source files
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diff changeset
402 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
403 }
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
404 else if (! xisint (b) && a.any_element_is_negative ())
5164
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jwe
parents:
diff changeset
405 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
406 SparseComplexMatrix result (a);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
407
5275
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diff changeset
408 for (octave_idx_type i = 0; i < nz; i++)
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diff changeset
409 {
57a59eae83cc untabify src C++ source files
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diff changeset
410 octave_quit ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
411
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17749
diff changeset
412 // FIXME: avoid apparent GNU libm bug by
10315
57a59eae83cc untabify src C++ source files
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parents: 10160
diff changeset
413 // converting A and B to complex instead of just A.
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
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diff changeset
414
10315
57a59eae83cc untabify src C++ source files
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parents: 10160
diff changeset
415 Complex atmp (a.data (i));
57a59eae83cc untabify src C++ source files
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parents: 10160
diff changeset
416 Complex btmp (b);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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diff changeset
417
10315
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diff changeset
418 result.data (i) = std::pow (atmp, btmp);
57a59eae83cc untabify src C++ source files
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diff changeset
419 }
5164
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parents:
diff changeset
420
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
421 result.maybe_compress (true);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
422
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
423 retval = result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
424 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
425 else
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
426 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
427 SparseMatrix result (a);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
428
5275
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diff changeset
429 for (octave_idx_type i = 0; i < nz; i++)
10315
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parents: 10160
diff changeset
430 {
57a59eae83cc untabify src C++ source files
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parents: 10160
diff changeset
431 octave_quit ();
57a59eae83cc untabify src C++ source files
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diff changeset
432 result.data (i) = std::pow (a.data (i), b);
57a59eae83cc untabify src C++ source files
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diff changeset
433 }
5164
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parents:
diff changeset
434
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
435 result.maybe_compress (true);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
436
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
437 retval = result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
438 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
439
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
440 return retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
441 }
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 // -*- 4 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
444 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
445 elem_xpow (const SparseMatrix& a, const SparseMatrix& b)
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 octave_value retval;
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 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
450 octave_idx_type nc = a.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
451
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
452 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
453 octave_idx_type b_nc = b.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
454
15282
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
455 if (a.numel () == 1 && b.numel () > 1)
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
456 return scalar_xpow (a(0), b);
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
457
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
458 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
459 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
460
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
461 int convert_to_complex = 0;
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
462 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
463 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
464 {
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
465 if (a.data(i) < 0.0)
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
466 {
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
467 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
468 if (! xisint (btmp))
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
469 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
470 convert_to_complex = 1;
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
471 goto done;
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
472 }
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
473 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
474 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
475
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
476 done:
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
477
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
478 // 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
479 // 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
480 // 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
481 // as needed.
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
482
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
483 if (convert_to_complex)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
484 {
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
485 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
486
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
487 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
488 {
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
489 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
490 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
491 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
492 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
493 = 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
494 }
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
495 }
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
496 complex_result.maybe_compress (true);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
497 retval = complex_result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
498 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
499 else
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
500 {
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
501 SparseMatrix result (nr, nc, 1.0);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
502
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
503 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
504 {
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
505 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
506 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
507 octave_quit ();
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
508 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
509 b(a.ridx (i), j));
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 }
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
512 result.maybe_compress (true);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
513 retval = result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
514 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
515
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
516 return retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
517 }
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 // -*- 5 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
520 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
521 elem_xpow (const SparseMatrix& a, const Complex& b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
522 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
523 octave_value retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
524
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
525 if (b == 0.0)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
526 // 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
527 retval = octave_value (NDArray (a.dims (), 1));
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
528 else
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
529 {
10527
b4d2080b6df7 Replace nzmax by nnz as needed
David Bateman <dbateman@free.fr>
parents: 10315
diff changeset
530 octave_idx_type nz = a.nnz ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
531 SparseComplexMatrix result (a);
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
532
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
533 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
534 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
535 octave_quit ();
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
536 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
537 }
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
538
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
539 result.maybe_compress (true);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
540
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
541 retval = result;
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
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
544 return retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
545 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
546
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
547 // -*- 6 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
548 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
549 elem_xpow (const SparseMatrix& a, const SparseComplexMatrix& b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
550 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
551 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
552 octave_idx_type nc = a.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
553
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
554 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
555 octave_idx_type b_nc = b.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
556
15282
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
557 if (a.numel () == 1 && b.numel () > 1)
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
558 return scalar_xpow (a(0), b);
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
559
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
560 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
561 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
562
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
563 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
564 for (octave_idx_type j = 0; j < nc; j++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
565 {
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
566 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
567 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
568 octave_quit ();
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
569 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
570 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
571 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
572
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
573 result.maybe_compress (true);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
574
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
575 return result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
576 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
577
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
578 // -*- 7 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
579 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
580 elem_xpow (const Complex& a, const SparseMatrix& b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
581 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
582 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
583 octave_idx_type nc = b.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
584
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
585 ComplexMatrix result (nr, nc);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
586
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
587 for (octave_idx_type j = 0; j < nc; j++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
588 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
589 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
590 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
591 octave_quit ();
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
592 double btmp = b (i, j);
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
593 if (xisint (btmp))
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
594 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
595 else
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
596 result (i, j) = std::pow (a, btmp);
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
597 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
598 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
599
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
600 return result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
601 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
602
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
603 // -*- 8 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
604 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
605 elem_xpow (const Complex& a, const SparseComplexMatrix& b)
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 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
608 octave_idx_type nc = b.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
609
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
610 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
611 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
612 for (octave_idx_type i = 0; i < nr; i++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
613 {
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
614 octave_quit ();
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
615 result (i, j) = std::pow (a, b (i, j));
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
616 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
617
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
618 return result;
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
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
621 // -*- 9 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
622 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
623 elem_xpow (const SparseComplexMatrix& a, double b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
624 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
625 octave_value retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
626
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
627 if (b <= 0)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
628 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
629 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
630 octave_idx_type nc = a.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
631
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
632 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
633
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
634 if (xisint (b))
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
635 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
636 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
637 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
638 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
639 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
640 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
641 = 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
642 }
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
643 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
644 else
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
645 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
646 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
647 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
648 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
649 octave_quit ();
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
650 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
651 }
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
652 }
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 retval = result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
655 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
656 else
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
657 {
10527
b4d2080b6df7 Replace nzmax by nnz as needed
David Bateman <dbateman@free.fr>
parents: 10315
diff changeset
658 octave_idx_type nz = a.nnz ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
659
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
660 SparseComplexMatrix result (a);
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
661
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
662 if (xisint (b))
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
663 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
664 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
665 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
666 octave_quit ();
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
667 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
668 }
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
669 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
670 else
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
671 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
672 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
673 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
674 octave_quit ();
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
675 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
676 }
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
677 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
678
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
679 result.maybe_compress (true);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
680
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
681 retval = result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
682 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
683
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
684 return retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
685 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
686
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
687 // -*- 10 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
688 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
689 elem_xpow (const SparseComplexMatrix& a, const SparseMatrix& b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
690 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
691 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
692 octave_idx_type nc = a.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
693
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
694 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
695 octave_idx_type b_nc = b.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
696
15282
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
697 if (a.numel () == 1 && b.numel () > 1)
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
698 return scalar_xpow (a(0), b);
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
699
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
700 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
701 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
702
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
703 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
704 for (octave_idx_type j = 0; j < nc; j++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
705 {
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
706 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
707 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
708 octave_quit ();
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
709 double btmp = b(a.ridx (i), j);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
710
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
711 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
712 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
713 static_cast<int> (btmp));
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
714 else
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
715 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
716 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
717 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
718
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
719 result.maybe_compress (true);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
720
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
721 return result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
722 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
723
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
724 // -*- 11 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
725 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
726 elem_xpow (const SparseComplexMatrix& a, const Complex& b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
727 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
728 octave_value retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
729
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
730 if (b == 0.0)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
731 // 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
732 retval = octave_value (NDArray (a.dims (), 1));
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
733 else
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
734 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
735
10527
b4d2080b6df7 Replace nzmax by nnz as needed
David Bateman <dbateman@free.fr>
parents: 10315
diff changeset
736 octave_idx_type nz = a.nnz ();
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 SparseComplexMatrix result (a);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
739
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
740 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
741 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
742 octave_quit ();
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
743 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
744 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
745
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
746 result.maybe_compress (true);
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
747
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
748 retval = result;
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
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
751 return retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
752 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
753
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
754 // -*- 12 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
755 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
756 elem_xpow (const SparseComplexMatrix& a, const SparseComplexMatrix& b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
757 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
758 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
759 octave_idx_type nc = a.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
760
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
761 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
762 octave_idx_type b_nc = b.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
763
15282
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
764 if (a.numel () == 1 && b.numel () > 1)
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
765 return scalar_xpow (a(0), b);
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
766
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
767 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
768 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
769
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
770 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
771 for (octave_idx_type j = 0; j < nc; j++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
772 {
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
773 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
774 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
775 octave_quit ();
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17749
diff changeset
776 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
777 b(a.ridx (i), j));
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
778 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
779 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
780 result.maybe_compress (true);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
781
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
782 return result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
783 }
29990
b839c36fd106 move sparse xdiv and xpow operator functions inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 29358
diff changeset
784
b839c36fd106 move sparse xdiv and xpow operator functions inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 29358
diff changeset
785 OCTAVE_NAMESPACE_END