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sparse-xpow.cc: Performance tweak for threshold selection
author Arun Giridhar <arungiridhar@gmail.com>
date Wed, 14 Sep 2022 09:59:31 -0400
parents 44cf6bbeeca9
children a026fb2be108
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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 bool
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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 >= 1000) ? 40
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136 : (sparsity >= 100) ? 20
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137 : 3;
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138
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139 if (btmp > threshold) // use squaring technique
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140 {
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141 while (btmp > 0)
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142 {
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143 if (btmp & 1)
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144 result = result * atmp;
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145
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146 btmp >>= 1;
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147
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148 if (btmp > 0)
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149 atmp = atmp * atmp;
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150 }
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151 }
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152 else // use linear multiplication
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153 {
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154 for (int i = 0; i < btmp; i++)
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155 result = result * atmp;
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156 }
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157
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158 retval = result;
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159 }
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160
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161 return retval;
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162 }
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163
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164 octave_value
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165 xpow (const SparseComplexMatrix& a, double b)
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166 {
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167 octave_value retval;
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168
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169 octave_idx_type nr = a.rows ();
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170 octave_idx_type nc = a.cols ();
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171
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172 if (nr == 0 || nc == 0 || nr != nc)
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173 error ("for A^b, A must be a square matrix. Use .^ for elementwise power.");
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174
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175 if (! xisint (b))
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176 error ("use full(a) ^ full(b)");
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177
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178 int btmp = static_cast<int> (b);
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179 if (btmp == 0)
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180 {
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181 SparseMatrix tmp = SparseMatrix (nr, nr, nr);
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182 for (octave_idx_type i = 0; i < nr; i++)
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183 {
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184 tmp.data (i) = 1.0;
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185 tmp.ridx (i) = i;
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186 }
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187 for (octave_idx_type i = 0; i < nr + 1; i++)
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188 tmp.cidx (i) = i;
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189
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190 retval = tmp;
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191 }
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192 else
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193 {
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194 SparseComplexMatrix atmp;
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195 if (btmp < 0)
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196 {
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197 btmp = -btmp;
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198
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199 octave_idx_type info;
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200 double rcond = 0.0;
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201 MatrixType mattyp (a);
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202
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203 atmp = a.inverse (mattyp, info, rcond, 1);
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204
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205 if (info == -1)
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e43d83253e28 refill multi-line macro definitions
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206 warning ("inverse: matrix singular to machine precision, rcond = %g", rcond);
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207 }
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208 else
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209 atmp = a;
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210
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211 SparseComplexMatrix result (atmp);
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212
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213 btmp--;
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214
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215 // Select multiplication sequence based on sparsity of atmp.
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216 // See the long comment in xpow (const SparseMatrix& a, double b)
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217 // for more details.
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218 //
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219 // FIXME: Improve this threshold calculation.
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220
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221 uint64_t sparsity = atmp.numel() / atmp.nnz(); // reciprocal of density
31227
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222 int threshold = (sparsity >= 1000) ? 40
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223 : (sparsity >= 100) ? 20
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224 : 3;
20982
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225
31225
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226 if (btmp > threshold) // use squaring technique
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227 {
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228 while (btmp > 0)
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229 {
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230 if (btmp & 1)
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diff changeset
231 result = result * atmp;
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232
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233 btmp >>= 1;
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234
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235 if (btmp > 0)
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236 atmp = atmp * atmp;
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237 }
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238 }
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239 else // use linear multiplication
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240 {
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241 for (int i = 0; i < btmp; i++)
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242 result = result * atmp;
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243 }
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244
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245 retval = result;
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246 }
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247
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248 return retval;
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249 }
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250
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251 // Safer pow functions that work elementwise for matrices.
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252 //
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253 // op2 \ op1: s m cs cm
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254 // +-- +---+---+----+----+
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255 // scalar | | * | 3 | * | 9 |
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256 // +---+---+----+----+
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257 // matrix | 1 | 4 | 7 | 10 |
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258 // +---+---+----+----+
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259 // complex_scalar | * | 5 | * | 11 |
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260 // +---+---+----+----+
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261 // complex_matrix | 2 | 6 | 8 | 12 |
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262 // +---+---+----+----+
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263 //
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264 // * -> not needed.
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265
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
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266 // FIXME: these functions need to be fixed so that things
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267 // like
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268 //
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269 // a = -1; b = [ 0, 0.5, 1 ]; r = a .^ b
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270 //
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271 // and
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272 //
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273 // a = -1; b = [ 0, 0.5, 1 ]; for i = 1:3, r(i) = a .^ b(i), end
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274 //
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275 // produce identical results. Also, it would be nice if -1^0.5
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276 // produced a pure imaginary result instead of a complex number with a
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277 // small real part. But perhaps that's really a problem with the math
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278 // library...
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279
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280 // Handle special case of scalar-sparse-matrix .^ sparse-matrix.
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281 // Forwarding to the scalar elem_xpow function and then converting the
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282 // result back to a sparse matrix is a bit wasteful but it does not
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283 // seem worth the effort to optimize -- how often does this case come up
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284 // in practice?
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285
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286 template <typename S, typename SM>
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287 inline octave_value
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288 scalar_xpow (const S& a, const SM& b)
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289 {
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290 octave_value val = elem_xpow (a, b);
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291
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292 if (val.iscomplex ())
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293 return SparseComplexMatrix (val.complex_matrix_value ());
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294 else
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295 return SparseMatrix (val.matrix_value ());
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296 }
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297
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298 /*
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299 %!assert (sparse (2) .^ [3, 4], sparse ([8, 16]))
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300 %!assert <47775> (sparse (2i) .^ [3, 4], sparse ([-0-8i, 16]))
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301 */
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302
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303 // -*- 1 -*-
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304 octave_value
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305 elem_xpow (double a, const SparseMatrix& b)
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306 {
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307 octave_value retval;
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308
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309 octave_idx_type nr = b.rows ();
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310 octave_idx_type nc = b.cols ();
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311
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312 double d1, d2;
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313
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314 if (a < 0.0 && ! b.all_integers (d1, d2))
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315 {
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316 Complex atmp (a);
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317 ComplexMatrix result (nr, nc);
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318
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319 for (octave_idx_type j = 0; j < nc; j++)
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320 {
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321 for (octave_idx_type i = 0; i < nr; i++)
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322 {
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323 octave_quit ();
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324 result(i, j) = std::pow (atmp, b(i, j));
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325 }
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326 }
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327
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328 retval = result;
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329 }
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330 else
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331 {
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332 Matrix result (nr, nc);
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333
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334 for (octave_idx_type j = 0; j < nc; j++)
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335 {
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336 for (octave_idx_type i = 0; i < nr; i++)
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337 {
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338 octave_quit ();
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339 result(i, j) = std::pow (a, b(i, j));
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340 }
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341 }
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342
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343 retval = result;
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344 }
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345
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346 return retval;
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347 }
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348
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349 // -*- 2 -*-
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350 octave_value
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351 elem_xpow (double a, const SparseComplexMatrix& b)
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352 {
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353 octave_idx_type nr = b.rows ();
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354 octave_idx_type nc = b.cols ();
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355
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356 Complex atmp (a);
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357 ComplexMatrix result (nr, nc);
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358
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359 for (octave_idx_type j = 0; j < nc; j++)
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360 {
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361 for (octave_idx_type i = 0; i < nr; i++)
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362 {
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363 octave_quit ();
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364 result(i, j) = std::pow (atmp, b(i, j));
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365 }
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366 }
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367
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368 return result;
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369 }
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370
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371 // -*- 3 -*-
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372 octave_value
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373 elem_xpow (const SparseMatrix& a, double b)
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374 {
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375 // FIXME: What should a .^ 0 give? Matlab gives a
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376 // sparse matrix with same structure as a, which is strictly
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377 // incorrect. Keep compatibility.
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378
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379 octave_value retval;
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diff changeset
380
10527
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381 octave_idx_type nz = a.nnz ();
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382
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383 if (b <= 0.0)
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diff changeset
384 {
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385 octave_idx_type nr = a.rows ();
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386 octave_idx_type nc = a.cols ();
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387
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388 if (! xisint (b) && a.any_element_is_negative ())
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389 {
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diff changeset
390 ComplexMatrix result (nr, nc, Complex (std::pow (0.0, b)));
5164
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391
17787
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392 // FIXME: avoid apparent GNU libm bug by
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diff changeset
393 // converting A and B to complex instead of just A.
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394 Complex btmp (b);
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395
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396 for (octave_idx_type j = 0; j < nc; j++)
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diff changeset
397 for (octave_idx_type i = a.cidx (j); i < a.cidx (j+1); i++)
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398 {
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399 octave_quit ();
11586
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diff changeset
400
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diff changeset
401 Complex atmp (a.data (i));
11586
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diff changeset
402
14861
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diff changeset
403 result(a.ridx (i), j) = std::pow (atmp, btmp);
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diff changeset
404 }
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diff changeset
405
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diff changeset
406 retval = octave_value (result);
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diff changeset
407 }
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diff changeset
408 else
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diff changeset
409 {
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diff changeset
410 Matrix result (nr, nc, (std::pow (0.0, b)));
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diff changeset
411
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diff changeset
412 for (octave_idx_type j = 0; j < nc; j++)
14861
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parents: 14138
diff changeset
413 for (octave_idx_type i = a.cidx (j); i < a.cidx (j+1); i++)
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diff changeset
414 {
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diff changeset
415 octave_quit ();
14861
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diff changeset
416 result(a.ridx (i), j) = std::pow (a.data (i), b);
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diff changeset
417 }
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418
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diff changeset
419 retval = octave_value (result);
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diff changeset
420 }
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421 }
28144
c31c9eaa1f28 sparse-xpow.cc: use xisint instead of static_cast<int> to check int values
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diff changeset
422 else if (! xisint (b) && a.any_element_is_negative ())
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diff changeset
423 {
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diff changeset
424 SparseComplexMatrix result (a);
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diff changeset
425
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426 for (octave_idx_type i = 0; i < nz; i++)
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diff changeset
427 {
57a59eae83cc untabify src C++ source files
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diff changeset
428 octave_quit ();
5164
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diff changeset
429
17787
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Rik <rik@octave.org>
parents: 17749
diff changeset
430 // FIXME: avoid apparent GNU libm bug by
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
431 // 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
432
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
433 Complex atmp (a.data (i));
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
434 Complex btmp (b);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
435
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
436 result.data (i) = std::pow (atmp, btmp);
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
437 }
5164
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 result.maybe_compress (true);
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 retval = result;
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 else
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 SparseMatrix result (a);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
446
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
447 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
448 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
449 octave_quit ();
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
450 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
451 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
452
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
453 result.maybe_compress (true);
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 retval = result;
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
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
458 return retval;
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
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
461 // -*- 4 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
462 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
463 elem_xpow (const SparseMatrix& a, const SparseMatrix& b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
464 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
465 octave_value retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
466
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
467 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
468 octave_idx_type nc = a.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
469
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
470 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
471 octave_idx_type b_nc = b.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
472
15282
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
473 if (a.numel () == 1 && b.numel () > 1)
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
474 return scalar_xpow (a(0), b);
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
475
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
476 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
477 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
478
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
479 int convert_to_complex = 0;
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
480 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
481 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
482 {
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
483 if (a.data(i) < 0.0)
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
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 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
486 if (! xisint (btmp))
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
487 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
488 convert_to_complex = 1;
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
489 goto done;
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 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
492 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
493
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
494 done:
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
495
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
496 // 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
497 // 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
498 // 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
499 // as needed.
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
500
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
501 if (convert_to_complex)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
502 {
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
503 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
504
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
505 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
506 {
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
507 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
508 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
509 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
510 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
511 = 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
512 }
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
513 }
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
514 complex_result.maybe_compress (true);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
515 retval = complex_result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
516 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
517 else
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
518 {
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
519 SparseMatrix result (nr, nc, 1.0);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
520
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
521 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
522 {
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
523 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
524 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
525 octave_quit ();
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
526 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
527 b(a.ridx (i), j));
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
528 }
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
529 }
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
530 result.maybe_compress (true);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
531 retval = result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
532 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
533
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
534 return retval;
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
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
537 // -*- 5 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
538 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
539 elem_xpow (const SparseMatrix& a, const Complex& b)
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 octave_value retval;
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 if (b == 0.0)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
544 // 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
545 retval = octave_value (NDArray (a.dims (), 1));
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
546 else
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
547 {
10527
b4d2080b6df7 Replace nzmax by nnz as needed
David Bateman <dbateman@free.fr>
parents: 10315
diff changeset
548 octave_idx_type nz = a.nnz ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
549 SparseComplexMatrix result (a);
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
550
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
551 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
552 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
553 octave_quit ();
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
554 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
555 }
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
556
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
557 result.maybe_compress (true);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
558
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
559 retval = result;
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
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
562 return retval;
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
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
565 // -*- 6 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
566 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
567 elem_xpow (const SparseMatrix& a, const SparseComplexMatrix& b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
568 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
569 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
570 octave_idx_type nc = a.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
571
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
572 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
573 octave_idx_type b_nc = b.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
574
15282
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
575 if (a.numel () == 1 && b.numel () > 1)
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
576 return scalar_xpow (a(0), b);
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
577
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
578 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
579 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
580
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
581 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
582 for (octave_idx_type j = 0; j < nc; j++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
583 {
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
584 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
585 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
586 octave_quit ();
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
587 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
588 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
589 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
590
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
591 result.maybe_compress (true);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
592
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
593 return result;
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
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
596 // -*- 7 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
597 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
598 elem_xpow (const Complex& a, const SparseMatrix& b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
599 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
600 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
601 octave_idx_type nc = b.cols ();
5164
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 ComplexMatrix result (nr, nc);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
604
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
605 for (octave_idx_type j = 0; j < nc; j++)
5164
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 i = 0; i < nr; i++)
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
608 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
609 octave_quit ();
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
610 double btmp = b (i, j);
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
611 if (xisint (btmp))
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
612 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
613 else
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
614 result (i, j) = std::pow (a, btmp);
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
615 }
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 // -*- 8 -*-
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 Complex& a, const SparseComplexMatrix& b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
624 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
625 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
626 octave_idx_type nc = b.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
627
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
628 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
629 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
630 for (octave_idx_type i = 0; i < nr; i++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
631 {
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
632 octave_quit ();
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
633 result (i, j) = std::pow (a, b (i, j));
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
634 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
635
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
636 return result;
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
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
639 // -*- 9 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
640 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
641 elem_xpow (const SparseComplexMatrix& a, double b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
642 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
643 octave_value retval;
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 if (b <= 0)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
646 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
647 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
648 octave_idx_type nc = a.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
649
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
650 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
651
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
652 if (xisint (b))
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
653 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
654 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
655 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
656 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
657 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
658 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
659 = 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
660 }
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
661 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
662 else
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 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
665 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
666 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
667 octave_quit ();
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
668 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
669 }
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
670 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
671
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
672 retval = result;
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 else
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
675 {
10527
b4d2080b6df7 Replace nzmax by nnz as needed
David Bateman <dbateman@free.fr>
parents: 10315
diff changeset
676 octave_idx_type nz = a.nnz ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
677
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
678 SparseComplexMatrix result (a);
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
679
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
680 if (xisint (b))
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
681 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
682 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
683 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
684 octave_quit ();
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
685 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
686 }
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
687 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
688 else
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
689 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
690 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
691 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
692 octave_quit ();
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
693 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
694 }
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
695 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
696
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
697 result.maybe_compress (true);
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 retval = result;
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
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
702 return retval;
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
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
705 // -*- 10 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
706 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
707 elem_xpow (const SparseComplexMatrix& a, const SparseMatrix& b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
708 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
709 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
710 octave_idx_type nc = a.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
711
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
712 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
713 octave_idx_type b_nc = b.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
714
15282
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
715 if (a.numel () == 1 && b.numel () > 1)
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
716 return scalar_xpow (a(0), b);
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
717
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
718 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
719 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
720
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
721 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
722 for (octave_idx_type j = 0; j < nc; j++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
723 {
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
724 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
725 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
726 octave_quit ();
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
727 double btmp = b(a.ridx (i), j);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
728
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
729 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
730 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
731 static_cast<int> (btmp));
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
732 else
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
733 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
734 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
735 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
736
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
737 result.maybe_compress (true);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
738
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
739 return result;
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
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
742 // -*- 11 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
743 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
744 elem_xpow (const SparseComplexMatrix& a, const Complex& b)
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 octave_value retval;
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 if (b == 0.0)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
749 // 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
750 retval = octave_value (NDArray (a.dims (), 1));
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
751 else
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
10527
b4d2080b6df7 Replace nzmax by nnz as needed
David Bateman <dbateman@free.fr>
parents: 10315
diff changeset
754 octave_idx_type nz = a.nnz ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
755
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
756 SparseComplexMatrix result (a);
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 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
759 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
760 octave_quit ();
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
761 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
762 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
763
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
764 result.maybe_compress (true);
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
765
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
766 retval = result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
767 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
768
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
769 return retval;
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
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
772 // -*- 12 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
773 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
774 elem_xpow (const SparseComplexMatrix& a, const SparseComplexMatrix& b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
775 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
776 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
777 octave_idx_type nc = a.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
778
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
779 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
780 octave_idx_type b_nc = b.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
781
15282
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
782 if (a.numel () == 1 && b.numel () > 1)
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
783 return scalar_xpow (a(0), b);
06ce57277bfb handle scalar-sparse-matrix .^ matrix ops
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
784
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
785 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
786 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
787
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
788 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
789 for (octave_idx_type j = 0; j < nc; j++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
790 {
14861
f7afecdd87ef maint: Use Octave coding conventions for cuddling parentheses in src/ directory
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
791 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
792 {
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
793 octave_quit ();
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17749
diff changeset
794 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
795 b(a.ridx (i), j));
10315
57a59eae83cc untabify src C++ source files
John W. Eaton <jwe@octave.org>
parents: 10160
diff changeset
796 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
797 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
798 result.maybe_compress (true);
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 return result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
801 }
29990
b839c36fd106 move sparse xdiv and xpow operator functions inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 29358
diff changeset
802
b839c36fd106 move sparse xdiv and xpow operator functions inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 29358
diff changeset
803 OCTAVE_NAMESPACE_END