Mercurial > octave
annotate libinterp/corefcn/dot.cc @ 27923:bd51beb6205e
update formatting of copyright notices
* Use <https://octave.org/copyright/> instead of
<https://octave.org/COPYRIGHT.html/>.
* For consistency with other comments in the Octave sources, use
C++-style comments for copyright blocks in C and C++ files.
* Use delimiters above and below copyright blocks that are appropriate
for the language used in the file.
* Eliminate extra spacing inside copyright blocks.
* lex.ll (looks_like_copyright): Also allow newlines and carriage
returns before the word "Copyright".
* scripts/mk-doc.pl (gethelp): Also skip empty comment lines.
* bp-table.cc, type.m: Adjust tests.
author | John W. Eaton <jwe@octave.org> |
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date | Wed, 08 Jan 2020 11:59:41 -0500 |
parents | 1891570abac8 |
children | 70cdf8de553d 0a5b15007766 |
rev | line source |
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1 //////////////////////////////////////////////////////////////////////// |
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2 // |
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3 // Copyright (C) 2009-2020 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 "lo-blas-proto.h" |
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31 #include "mx-base.h" |
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32 |
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33 #include "builtin-defun-decls.h" |
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34 #include "defun.h" |
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35 #include "error.h" |
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36 #include "parse.h" |
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37 |
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38 static void |
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39 get_red_dims (const dim_vector& x, const dim_vector& y, int dim, |
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40 dim_vector& z, F77_INT& m, F77_INT& n, F77_INT& k) |
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41 { |
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42 int nd = x.ndims (); |
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43 assert (nd == y.ndims ()); |
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44 z = dim_vector::alloc (nd); |
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45 octave_idx_type tmp_m = 1; |
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46 octave_idx_type tmp_n = 1; |
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47 octave_idx_type tmp_k = 1; |
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48 for (int i = 0; i < nd; i++) |
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49 { |
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50 if (i < dim) |
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51 { |
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52 z(i) = x(i); |
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53 tmp_m *= x(i); |
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54 } |
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55 else if (i > dim) |
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56 { |
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57 z(i) = x(i); |
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58 tmp_n *= x(i); |
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59 } |
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60 else |
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61 { |
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62 z(i) = 1; |
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63 tmp_k = x(i); |
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64 } |
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65 } |
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66 |
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67 m = octave::to_f77_int (tmp_m); |
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68 n = octave::to_f77_int (tmp_n); |
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69 k = octave::to_f77_int (tmp_k); |
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70 } |
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71 |
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72 DEFUN (dot, args, , |
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73 doc: /* -*- texinfo -*- |
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74 @deftypefn {} {} dot (@var{x}, @var{y}, @var{dim}) |
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75 Compute the dot product of two vectors. |
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76 |
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77 If @var{x} and @var{y} are matrices, calculate the dot products along the |
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78 first non-singleton dimension. |
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79 |
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80 If the optional argument @var{dim} is given, calculate the dot products |
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81 along this dimension. |
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82 |
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83 Implementation Note: This is equivalent to |
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84 @code{sum (conj (@var{X}) .* @var{Y}, @var{dim})}, but avoids forming a |
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85 temporary array and is faster. When @var{X} and @var{Y} are column vectors, |
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86 the result is equivalent to @code{@var{X}' * @var{Y}}. Although, @code{dot} |
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87 is defined for integer arrays, the output may differ from the expected result |
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88 due to the limited range of integer objects. |
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89 @seealso{cross, divergence} |
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90 @end deftypefn */) |
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91 { |
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92 int nargin = args.length (); |
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93 |
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94 if (nargin < 2 || nargin > 3) |
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95 print_usage (); |
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96 |
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97 octave_value retval; |
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98 octave_value argx = args(0); |
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99 octave_value argy = args(1); |
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100 |
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101 if (! argx.isnumeric () || ! argy.isnumeric ()) |
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102 error ("dot: X and Y must be numeric"); |
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103 |
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104 dim_vector dimx = argx.dims (); |
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105 dim_vector dimy = argy.dims (); |
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106 bool match = dimx == dimy; |
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107 if (! match && nargin == 2 && dimx.isvector () && dimy.isvector ()) |
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108 { |
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109 // Change to column vectors. |
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110 dimx = dimx.redim (1); |
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111 argx = argx.reshape (dimx); |
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112 dimy = dimy.redim (1); |
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113 argy = argy.reshape (dimy); |
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114 match = dimx == dimy; |
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115 } |
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116 |
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117 if (! match) |
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118 error ("dot: sizes of X and Y must match"); |
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119 |
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120 int dim; |
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121 if (nargin == 2) |
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122 dim = dimx.first_non_singleton (); |
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123 else |
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124 dim = args(2).int_value (true) - 1; |
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125 |
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126 if (dim < 0) |
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127 error ("dot: DIM must be a valid dimension"); |
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128 |
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129 F77_INT m, n, k; |
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130 dim_vector dimz; |
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131 if (argx.iscomplex () || argy.iscomplex ()) |
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132 { |
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133 if (argx.is_single_type () || argy.is_single_type ()) |
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134 { |
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135 FloatComplexNDArray x = argx.float_complex_array_value (); |
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136 FloatComplexNDArray y = argy.float_complex_array_value (); |
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137 get_red_dims (dimx, dimy, dim, dimz, m, n, k); |
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138 FloatComplexNDArray z (dimz); |
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139 |
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140 F77_XFCN (cdotc3, CDOTC3, (m, n, k, |
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141 F77_CONST_CMPLX_ARG (x.data ()), F77_CONST_CMPLX_ARG (y.data ()), |
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142 F77_CMPLX_ARG (z.fortran_vec ()))); |
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143 retval = z; |
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144 } |
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145 else |
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146 { |
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147 ComplexNDArray x = argx.complex_array_value (); |
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148 ComplexNDArray y = argy.complex_array_value (); |
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149 get_red_dims (dimx, dimy, dim, dimz, m, n, k); |
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150 ComplexNDArray z (dimz); |
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151 |
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152 F77_XFCN (zdotc3, ZDOTC3, (m, n, k, |
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153 F77_CONST_DBLE_CMPLX_ARG (x.data ()), F77_CONST_DBLE_CMPLX_ARG (y.data ()), |
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154 F77_DBLE_CMPLX_ARG (z.fortran_vec ()))); |
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155 retval = z; |
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156 } |
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157 } |
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158 else if (argx.isfloat () && argy.isfloat ()) |
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159 { |
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160 if (argx.is_single_type () || argy.is_single_type ()) |
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161 { |
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162 FloatNDArray x = argx.float_array_value (); |
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163 FloatNDArray y = argy.float_array_value (); |
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164 get_red_dims (dimx, dimy, dim, dimz, m, n, k); |
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165 FloatNDArray z (dimz); |
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166 |
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167 F77_XFCN (sdot3, SDOT3, (m, n, k, x.data (), y.data (), |
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168 z.fortran_vec ())); |
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169 retval = z; |
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170 } |
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171 else |
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172 { |
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173 NDArray x = argx.array_value (); |
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174 NDArray y = argy.array_value (); |
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175 get_red_dims (dimx, dimy, dim, dimz, m, n, k); |
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176 NDArray z (dimz); |
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177 |
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178 F77_XFCN (ddot3, DDOT3, (m, n, k, x.data (), y.data (), |
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179 z.fortran_vec ())); |
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180 retval = z; |
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181 } |
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182 } |
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183 else |
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184 { |
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185 // Non-optimized evaluation. |
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186 // FIXME: This may *not* do what the user expects. |
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187 // It might be more useful to issue a warning, or even an error, instead |
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188 // of calculating possibly garbage results. |
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189 // Think of the dot product of two int8 vectors where the multiplications |
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190 // exceed intmax. |
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191 octave_value_list tmp; |
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192 tmp(1) = dim + 1; |
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193 tmp(0) = do_binary_op (octave_value::op_el_mul, argx, argy); |
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194 |
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195 tmp = Fsum (tmp, 1); |
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196 if (! tmp.empty ()) |
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197 retval = tmp(0); |
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198 } |
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199 |
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200 return retval; |
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201 } |
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202 |
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203 /* |
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204 %!assert (dot ([1, 2], [2, 3]), 8) |
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205 |
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206 %!test |
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207 %! x = [2, 1; 2, 1]; |
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208 %! y = [-0.5, 2; 0.5, -2]; |
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209 %! assert (dot (x, y), [0 0]); |
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210 %! assert (dot (single (x), single (y)), single ([0 0])); |
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211 |
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212 %!test |
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213 %! x = [1+i, 3-i; 1-i, 3-i]; |
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214 %! assert (dot (x, x), [4, 20]); |
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215 %! assert (dot (single (x), single (x)), single ([4, 20])); |
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216 |
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217 %!test |
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218 %! x = int8 ([1, 2]); |
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219 %! y = int8 ([2, 3]); |
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220 %! assert (dot (x, y), 8); |
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221 |
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222 %!test |
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223 %! x = int8 ([1, 2; 3, 4]); |
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224 %! y = int8 ([5, 6; 7, 8]); |
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225 %! assert (dot (x, y), [26 44]); |
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226 %! assert (dot (x, y, 2), [17; 53]); |
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227 %! assert (dot (x, y, 3), [5 12; 21 32]); |
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228 |
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229 ## This is, perhaps, surprising. Integer maximums and saturation mechanics |
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230 ## prevent accurate value from being calculated. |
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231 %!test |
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232 %! x = int8 ([127]); |
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233 %! assert (dot (x, x), 127); |
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234 |
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235 ## Test input validation |
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236 %!error dot () |
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237 %!error dot (1) |
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238 %!error dot (1,2,3,4) |
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239 %!error <X and Y must be numeric> dot ({1,2}, [3,4]) |
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240 %!error <X and Y must be numeric> dot ([1,2], {3,4}) |
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241 %!error <sizes of X and Y must match> dot ([1 2], [1 2 3]) |
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242 %!error <sizes of X and Y must match> dot ([1 2]', [1 2 3]') |
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243 %!error <sizes of X and Y must match> dot (ones (2,2), ones (2,3)) |
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244 %!error <DIM must be a valid dimension> dot ([1 2], [1 2], 0) |
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245 */ |
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246 |
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247 template <typename T> |
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248 void |
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249 blkmm_internal (const T& x, const T& y, T& z, |
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250 F77_INT m, F77_INT n, F77_INT k, F77_INT np); |
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251 |
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252 template <> |
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253 void |
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254 blkmm_internal (const FloatComplexNDArray& x, const FloatComplexNDArray& y, |
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255 FloatComplexNDArray& z, |
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256 F77_INT m, F77_INT n, F77_INT k, F77_INT np) |
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257 { |
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258 F77_XFCN (cmatm3, CMATM3, (m, n, k, np, |
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259 F77_CONST_CMPLX_ARG (x.data ()), |
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260 F77_CONST_CMPLX_ARG (y.data ()), |
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261 F77_CMPLX_ARG (z.fortran_vec ()))); |
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262 } |
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263 |
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264 template <> |
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265 void |
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266 blkmm_internal (const ComplexNDArray& x, const ComplexNDArray& y, |
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267 ComplexNDArray& z, |
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268 F77_INT m, F77_INT n, F77_INT k, F77_INT np) |
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269 { |
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270 F77_XFCN (zmatm3, ZMATM3, (m, n, k, np, |
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271 F77_CONST_DBLE_CMPLX_ARG (x.data ()), |
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272 F77_CONST_DBLE_CMPLX_ARG (y.data ()), |
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273 F77_DBLE_CMPLX_ARG (z.fortran_vec ()))); |
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274 } |
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275 |
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276 template <> |
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277 void |
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278 blkmm_internal (const FloatNDArray& x, const FloatNDArray& y, FloatNDArray& z, |
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279 F77_INT m, F77_INT n, F77_INT k, F77_INT np) |
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280 { |
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281 F77_XFCN (smatm3, SMATM3, (m, n, k, np, |
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282 x.data (), y.data (), |
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283 z.fortran_vec ())); |
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284 } |
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285 |
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286 template <> |
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287 void |
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288 blkmm_internal (const NDArray& x, const NDArray& y, NDArray& z, |
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289 F77_INT m, F77_INT n, F77_INT k, F77_INT np) |
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290 { |
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291 F77_XFCN (dmatm3, DMATM3, (m, n, k, np, |
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292 x.data (), y.data (), |
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293 z.fortran_vec ())); |
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294 } |
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295 |
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296 static void |
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297 get_blkmm_dims (const dim_vector& dimx, const dim_vector& dimy, |
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298 F77_INT& m, F77_INT& n, F77_INT& k, F77_INT& np, |
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299 dim_vector& dimz) |
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300 { |
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301 int nd = dimx.ndims (); |
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302 |
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303 m = octave::to_f77_int (dimx(0)); |
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304 k = octave::to_f77_int (dimx(1)); |
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305 n = octave::to_f77_int (dimy(1)); |
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306 |
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307 octave_idx_type tmp_np = 1; |
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308 |
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309 bool match = ((dimy(0) == k) && (nd == dimy.ndims ())); |
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310 |
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311 dimz = dim_vector::alloc (nd); |
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312 |
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313 dimz(0) = m; |
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314 dimz(1) = n; |
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315 for (int i = 2; match && i < nd; i++) |
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316 { |
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317 match = (dimx(i) == dimy(i)); |
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318 dimz(i) = dimx(i); |
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319 tmp_np *= dimz(i); |
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320 } |
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321 |
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322 np = octave::to_f77_int (tmp_np); |
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323 |
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324 if (! match) |
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325 error ("blkmm: A and B dimensions don't match: (%s) and (%s)", |
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326 dimx.str ().c_str (), dimy.str ().c_str ()); |
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327 } |
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328 |
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329 template <typename T> |
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330 T |
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331 do_blkmm (const octave_value& xov, const octave_value& yov) |
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332 { |
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333 const T x = octave_value_extract<T> (xov); |
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334 const T y = octave_value_extract<T> (yov); |
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335 F77_INT m, n, k, np; |
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336 dim_vector dimz; |
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337 |
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338 get_blkmm_dims (x.dims (), y.dims (), m, n, k, np, dimz); |
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339 |
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340 T z (dimz); |
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341 |
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342 if (n != 0 && m != 0) |
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343 blkmm_internal<T> (x, y, z, m, n, k, np); |
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344 |
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345 return z; |
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346 } |
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347 |
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348 DEFUN (blkmm, args, , |
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349 doc: /* -*- texinfo -*- |
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350 @deftypefn {} {} blkmm (@var{A}, @var{B}) |
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351 Compute products of matrix blocks. |
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352 |
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353 The blocks are given as 2-dimensional subarrays of the arrays @var{A}, |
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354 @var{B}. The size of @var{A} must have the form @code{[m,k,@dots{}]} and |
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355 size of @var{B} must be @code{[k,n,@dots{}]}. The result is then of size |
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356 @code{[m,n,@dots{}]} and is computed as follows: |
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357 |
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358 @example |
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359 @group |
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360 for i = 1:prod (size (@var{A})(3:end)) |
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361 @var{C}(:,:,i) = @var{A}(:,:,i) * @var{B}(:,:,i) |
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362 endfor |
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363 @end group |
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364 @end example |
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365 @end deftypefn */) |
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366 { |
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367 if (args.length () != 2) |
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368 print_usage (); |
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369 |
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370 octave_value retval; |
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371 |
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372 octave_value argx = args(0); |
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373 octave_value argy = args(1); |
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374 |
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375 if (! argx.isnumeric () || ! argy.isnumeric ()) |
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376 error ("blkmm: A and B must be numeric"); |
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377 |
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378 if (argx.iscomplex () || argy.iscomplex ()) |
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379 { |
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380 if (argx.is_single_type () || argy.is_single_type ()) |
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381 retval = do_blkmm<FloatComplexNDArray> (argx, argy); |
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382 else |
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383 retval = do_blkmm<ComplexNDArray> (argx, argy); |
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384 } |
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385 else |
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386 { |
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387 if (argx.is_single_type () || argy.is_single_type ()) |
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388 retval = do_blkmm<FloatNDArray> (argx, argy); |
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389 else |
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390 retval = do_blkmm<NDArray> (argx, argy); |
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391 } |
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392 |
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393 return retval; |
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394 } |
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395 |
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396 /* |
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397 %!test |
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398 %! x(:,:,1) = [1 2; 3 4]; |
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399 %! x(:,:,2) = [1 1; 1 1]; |
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400 %! z(:,:,1) = [7 10; 15 22]; |
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401 %! z(:,:,2) = [2 2; 2 2]; |
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402 %! assert (blkmm (x,x), z); |
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403 %! assert (blkmm (single (x), single (x)), single (z)); |
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404 %! assert (blkmm (x, single (x)), single (z)); |
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405 |
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406 %!test |
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407 %! x(:,:,1) = [1 2; 3 4]; |
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408 %! x(:,:,2) = [1i 1i; 1i 1i]; |
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409 %! z(:,:,1) = [7 10; 15 22]; |
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410 %! z(:,:,2) = [-2 -2; -2 -2]; |
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411 %! assert (blkmm (x,x), z); |
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412 %! assert (blkmm (single (x), single (x)), single (z)); |
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413 %! assert (blkmm (x, single (x)), single (z)); |
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414 |
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415 %!test <*54261> |
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416 %! x = ones (0, 3, 3); |
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417 %! y = ones (3, 5, 3); |
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418 %! z = blkmm (x,y); |
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419 %! assert (size (z), [0, 5, 3]); |
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420 %! x = ones (1, 3, 3); |
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421 %! y = ones (3, 0, 3); |
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422 %! z = blkmm (x,y); |
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423 %! assert (size (z), [1, 0, 3]); |
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424 |
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425 ## Test input validation |
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426 %!error blkmm () |
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427 %!error blkmm (1) |
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428 %!error blkmm (1,2,3) |
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429 %!error <A and B must be numeric> blkmm ({1,2}, [3,4]) |
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430 %!error <A and B must be numeric> blkmm ([3,4], {1,2}) |
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431 %!error <A and B dimensions don't match> blkmm (ones (2,2), ones (3,3)) |
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432 */ |