Mercurial > octave
annotate libinterp/corefcn/dot.cc @ 30564:796f54d4ddbf stable
update Octave Project Developers copyright for the new year
In files that have the "Octave Project Developers" copyright notice,
update for 2021.
In all .txi and .texi files except gpl.txi and gpl.texi in the
doc/liboctave and doc/interpreter directories, change the copyright
to "Octave Project Developers", the same as used for other source
files. Update copyright notices for 2022 (not done since 2019). For
gpl.txi and gpl.texi, change the copyright notice to be "Free Software
Foundation, Inc." and leave the date at 2007 only because this file
only contains the text of the GPL, not anything created by the Octave
Project Developers.
Add Paul Thomas to contributors.in.
author | John W. Eaton <jwe@octave.org> |
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date | Tue, 28 Dec 2021 18:22:40 -0500 |
parents | 58f3f8b086f4 |
children | 08b08b7f05b2 |
rev | line source |
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1 //////////////////////////////////////////////////////////////////////// |
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2 // |
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3 // Copyright (C) 2009-2022 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 "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 OCTAVE_NAMESPACE_BEGIN |
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39 |
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40 static void |
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41 get_red_dims (const dim_vector& x, const dim_vector& y, int dim, |
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42 dim_vector& z, F77_INT& m, F77_INT& n, F77_INT& k) |
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43 { |
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44 int nd = x.ndims (); |
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45 assert (nd == y.ndims ()); |
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46 z = dim_vector::alloc (nd); |
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47 octave_idx_type tmp_m = 1; |
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48 octave_idx_type tmp_n = 1; |
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49 octave_idx_type tmp_k = 1; |
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50 for (int i = 0; i < nd; i++) |
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51 { |
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52 if (i < dim) |
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53 { |
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54 z(i) = x(i); |
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55 tmp_m *= x(i); |
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56 } |
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57 else if (i > dim) |
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58 { |
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59 z(i) = x(i); |
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60 tmp_n *= x(i); |
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61 } |
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62 else |
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63 { |
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64 z(i) = 1; |
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65 tmp_k = x(i); |
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66 } |
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67 } |
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68 |
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69 m = to_f77_int (tmp_m); |
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70 n = to_f77_int (tmp_n); |
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71 k = to_f77_int (tmp_k); |
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72 } |
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73 |
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74 DEFUN (dot, args, , |
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75 doc: /* -*- texinfo -*- |
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76 @deftypefn {} {} dot (@var{x}, @var{y}, @var{dim}) |
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77 Compute the dot product of two vectors. |
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78 |
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79 If @var{x} and @var{y} are matrices, calculate the dot products along the |
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80 first non-singleton dimension. |
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81 |
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82 If the optional argument @var{dim} is given, calculate the dot products |
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83 along this dimension. |
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84 |
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85 Implementation Note: This is equivalent to |
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86 @code{sum (conj (@var{X}) .* @var{Y}, @var{dim})}, but avoids forming a |
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87 temporary array and is faster. When @var{X} and @var{Y} are column vectors, |
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88 the result is equivalent to @code{@var{X}' * @var{Y}}. Although, @code{dot} |
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89 is defined for integer arrays, the output may differ from the expected result |
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90 due to the limited range of integer objects. |
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91 @seealso{cross, divergence} |
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92 @end deftypefn */) |
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93 { |
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94 int nargin = args.length (); |
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95 |
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96 if (nargin < 2 || nargin > 3) |
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97 print_usage (); |
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98 |
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99 octave_value retval; |
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100 octave_value argx = args(0); |
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101 octave_value argy = args(1); |
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102 |
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103 if (! argx.isnumeric () || ! argy.isnumeric ()) |
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104 error ("dot: X and Y must be numeric"); |
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105 |
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106 dim_vector dimx = argx.dims (); |
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107 dim_vector dimy = argy.dims (); |
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108 bool match = dimx == dimy; |
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109 if (! match && nargin == 2 && dimx.isvector () && dimy.isvector ()) |
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110 { |
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111 // Change to column vectors. |
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112 dimx = dimx.redim (1); |
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113 argx = argx.reshape (dimx); |
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114 dimy = dimy.redim (1); |
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115 argy = argy.reshape (dimy); |
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116 match = dimx == dimy; |
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117 } |
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118 |
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119 if (! match) |
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120 error ("dot: sizes of X and Y must match"); |
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121 |
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122 int dim; |
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123 if (nargin == 2) |
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124 dim = dimx.first_non_singleton (); |
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125 else |
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126 dim = args(2).int_value (true) - 1; |
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127 |
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128 if (dim < 0) |
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129 error ("dot: DIM must be a valid dimension"); |
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130 |
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131 F77_INT m, n, k; |
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132 dim_vector dimz; |
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133 if (argx.iscomplex () || argy.iscomplex ()) |
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134 { |
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135 if (argx.is_single_type () || argy.is_single_type ()) |
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136 { |
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137 FloatComplexNDArray x = argx.float_complex_array_value (); |
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138 FloatComplexNDArray y = argy.float_complex_array_value (); |
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139 get_red_dims (dimx, dimy, dim, dimz, m, n, k); |
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140 FloatComplexNDArray z (dimz); |
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141 |
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142 F77_XFCN (cdotc3, CDOTC3, (m, n, k, |
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143 F77_CONST_CMPLX_ARG (x.data ()), F77_CONST_CMPLX_ARG (y.data ()), |
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144 F77_CMPLX_ARG (z.fortran_vec ()))); |
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145 retval = z; |
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146 } |
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147 else |
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148 { |
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149 ComplexNDArray x = argx.complex_array_value (); |
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150 ComplexNDArray y = argy.complex_array_value (); |
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151 get_red_dims (dimx, dimy, dim, dimz, m, n, k); |
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152 ComplexNDArray z (dimz); |
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153 |
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154 F77_XFCN (zdotc3, ZDOTC3, (m, n, k, |
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155 F77_CONST_DBLE_CMPLX_ARG (x.data ()), F77_CONST_DBLE_CMPLX_ARG (y.data ()), |
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156 F77_DBLE_CMPLX_ARG (z.fortran_vec ()))); |
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157 retval = z; |
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158 } |
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159 } |
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160 else if (argx.isfloat () && argy.isfloat ()) |
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161 { |
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162 if (argx.is_single_type () || argy.is_single_type ()) |
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163 { |
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164 FloatNDArray x = argx.float_array_value (); |
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165 FloatNDArray y = argy.float_array_value (); |
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166 get_red_dims (dimx, dimy, dim, dimz, m, n, k); |
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167 FloatNDArray z (dimz); |
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168 |
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169 F77_XFCN (sdot3, SDOT3, (m, n, k, x.data (), y.data (), |
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170 z.fortran_vec ())); |
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171 retval = z; |
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172 } |
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173 else |
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174 { |
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175 NDArray x = argx.array_value (); |
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176 NDArray y = argy.array_value (); |
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177 get_red_dims (dimx, dimy, dim, dimz, m, n, k); |
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178 NDArray z (dimz); |
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179 |
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180 F77_XFCN (ddot3, DDOT3, (m, n, k, x.data (), y.data (), |
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181 z.fortran_vec ())); |
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182 retval = z; |
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183 } |
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184 } |
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185 else |
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186 { |
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187 // Non-optimized evaluation. |
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188 // FIXME: This may *not* do what the user expects. |
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189 // It might be more useful to issue a warning, or even an error, instead |
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190 // of calculating possibly garbage results. |
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191 // Think of the dot product of two int8 vectors where the multiplications |
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192 // exceed intmax. |
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193 octave_value_list tmp; |
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194 tmp(1) = dim + 1; |
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195 tmp(0) = binary_op (octave_value::op_el_mul, argx, argy); |
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196 |
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197 tmp = Fsum (tmp, 1); |
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198 if (! tmp.empty ()) |
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199 retval = tmp(0); |
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200 } |
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201 |
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202 return retval; |
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203 } |
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204 |
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205 /* |
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206 %!assert (dot ([1, 2], [2, 3]), 8) |
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207 |
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208 %!test |
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209 %! x = [2, 1; 2, 1]; |
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210 %! y = [-0.5, 2; 0.5, -2]; |
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211 %! assert (dot (x, y), [0 0]); |
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212 %! assert (dot (single (x), single (y)), single ([0 0])); |
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213 |
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214 %!test |
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215 %! x = [1+i, 3-i; 1-i, 3-i]; |
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216 %! assert (dot (x, x), [4, 20]); |
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217 %! assert (dot (single (x), single (x)), single ([4, 20])); |
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218 |
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219 %!test |
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220 %! x = int8 ([1, 2]); |
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221 %! y = int8 ([2, 3]); |
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222 %! assert (dot (x, y), 8); |
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223 |
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224 %!test |
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225 %! x = int8 ([1, 2; 3, 4]); |
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226 %! y = int8 ([5, 6; 7, 8]); |
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227 %! assert (dot (x, y), [26 44]); |
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228 %! assert (dot (x, y, 2), [17; 53]); |
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229 %! assert (dot (x, y, 3), [5 12; 21 32]); |
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230 |
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231 ## This is, perhaps, surprising. Integer maximums and saturation mechanics |
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232 ## prevent accurate value from being calculated. |
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233 %!test |
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234 %! x = int8 ([127]); |
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235 %! assert (dot (x, x), 127); |
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236 |
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237 ## Test input validation |
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238 %!error dot () |
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239 %!error dot (1) |
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240 %!error dot (1,2,3,4) |
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241 %!error <X and Y must be numeric> dot ({1,2}, [3,4]) |
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242 %!error <X and Y must be numeric> dot ([1,2], {3,4}) |
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243 %!error <sizes of X and Y must match> dot ([1 2], [1 2 3]) |
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244 %!error <sizes of X and Y must match> dot ([1 2]', [1 2 3]') |
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245 %!error <sizes of X and Y must match> dot (ones (2,2), ones (2,3)) |
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246 %!error <DIM must be a valid dimension> dot ([1 2], [1 2], 0) |
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247 */ |
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248 |
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249 template <typename T> |
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250 static void |
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251 blkmm_internal (const T& x, const T& y, T& z, |
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252 F77_INT m, F77_INT n, F77_INT k, F77_INT np); |
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253 |
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254 template <> |
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255 void |
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256 blkmm_internal (const FloatComplexNDArray& x, const FloatComplexNDArray& y, |
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257 FloatComplexNDArray& z, |
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258 F77_INT m, F77_INT n, F77_INT k, F77_INT np) |
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259 { |
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260 F77_XFCN (cmatm3, CMATM3, (m, n, k, np, |
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261 F77_CONST_CMPLX_ARG (x.data ()), |
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262 F77_CONST_CMPLX_ARG (y.data ()), |
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263 F77_CMPLX_ARG (z.fortran_vec ()))); |
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264 } |
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265 |
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266 template <> |
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267 void |
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268 blkmm_internal (const ComplexNDArray& x, const ComplexNDArray& y, |
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269 ComplexNDArray& z, |
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270 F77_INT m, F77_INT n, F77_INT k, F77_INT np) |
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271 { |
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272 F77_XFCN (zmatm3, ZMATM3, (m, n, k, np, |
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273 F77_CONST_DBLE_CMPLX_ARG (x.data ()), |
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274 F77_CONST_DBLE_CMPLX_ARG (y.data ()), |
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275 F77_DBLE_CMPLX_ARG (z.fortran_vec ()))); |
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276 } |
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277 |
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278 template <> |
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279 void |
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280 blkmm_internal (const FloatNDArray& x, const FloatNDArray& y, FloatNDArray& z, |
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281 F77_INT m, F77_INT n, F77_INT k, F77_INT np) |
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282 { |
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283 F77_XFCN (smatm3, SMATM3, (m, n, k, np, |
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284 x.data (), y.data (), |
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285 z.fortran_vec ())); |
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286 } |
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287 |
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288 template <> |
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289 void |
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290 blkmm_internal (const NDArray& x, const NDArray& y, NDArray& z, |
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291 F77_INT m, F77_INT n, F77_INT k, F77_INT np) |
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292 { |
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293 F77_XFCN (dmatm3, DMATM3, (m, n, k, np, |
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294 x.data (), y.data (), |
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295 z.fortran_vec ())); |
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296 } |
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297 |
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298 static void |
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299 get_blkmm_dims (const dim_vector& dimx, const dim_vector& dimy, |
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300 F77_INT& m, F77_INT& n, F77_INT& k, F77_INT& np, |
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301 dim_vector& dimz) |
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302 { |
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303 int nd = dimx.ndims (); |
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304 |
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305 m = to_f77_int (dimx(0)); |
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306 k = to_f77_int (dimx(1)); |
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307 n = to_f77_int (dimy(1)); |
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308 |
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309 octave_idx_type tmp_np = 1; |
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310 |
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311 bool match = ((dimy(0) == k) && (nd == dimy.ndims ())); |
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312 |
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313 dimz = dim_vector::alloc (nd); |
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314 |
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315 dimz(0) = m; |
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316 dimz(1) = n; |
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317 for (int i = 2; match && i < nd; i++) |
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318 { |
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319 match = (dimx(i) == dimy(i)); |
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320 dimz(i) = dimx(i); |
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321 tmp_np *= dimz(i); |
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322 } |
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323 |
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324 np = to_f77_int (tmp_np); |
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325 |
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326 if (! match) |
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327 error ("blkmm: A and B dimensions don't match: (%s) and (%s)", |
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328 dimx.str ().c_str (), dimy.str ().c_str ()); |
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329 } |
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330 |
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331 template <typename T> |
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332 T |
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333 do_blkmm (const octave_value& xov, const octave_value& yov) |
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334 { |
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335 const T x = octave_value_extract<T> (xov); |
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336 const T y = octave_value_extract<T> (yov); |
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337 F77_INT m, n, k, np; |
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338 dim_vector dimz; |
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339 |
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340 get_blkmm_dims (x.dims (), y.dims (), m, n, k, np, dimz); |
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341 |
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342 T z (dimz); |
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343 |
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344 if (n != 0 && m != 0) |
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345 blkmm_internal<T> (x, y, z, m, n, k, np); |
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346 |
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347 return z; |
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348 } |
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349 |
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350 DEFUN (blkmm, args, , |
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351 doc: /* -*- texinfo -*- |
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352 @deftypefn {} {} blkmm (@var{A}, @var{B}) |
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353 Compute products of matrix blocks. |
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354 |
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355 The blocks are given as 2-dimensional subarrays of the arrays @var{A}, |
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356 @var{B}. The size of @var{A} must have the form @code{[m,k,@dots{}]} and |
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357 size of @var{B} must be @code{[k,n,@dots{}]}. The result is then of size |
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358 @code{[m,n,@dots{}]} and is computed as follows: |
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359 |
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360 @example |
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361 @group |
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362 for i = 1:prod (size (@var{A})(3:end)) |
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363 @var{C}(:,:,i) = @var{A}(:,:,i) * @var{B}(:,:,i) |
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364 endfor |
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365 @end group |
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366 @end example |
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367 @end deftypefn */) |
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368 { |
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369 if (args.length () != 2) |
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370 print_usage (); |
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371 |
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372 octave_value retval; |
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373 |
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374 octave_value argx = args(0); |
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375 octave_value argy = args(1); |
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376 |
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377 if (! argx.isnumeric () || ! argy.isnumeric ()) |
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378 error ("blkmm: A and B must be numeric"); |
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379 |
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380 if (argx.iscomplex () || argy.iscomplex ()) |
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381 { |
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382 if (argx.is_single_type () || argy.is_single_type ()) |
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383 retval = do_blkmm<FloatComplexNDArray> (argx, argy); |
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384 else |
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385 retval = do_blkmm<ComplexNDArray> (argx, argy); |
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386 } |
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387 else |
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388 { |
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389 if (argx.is_single_type () || argy.is_single_type ()) |
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390 retval = do_blkmm<FloatNDArray> (argx, argy); |
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391 else |
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392 retval = do_blkmm<NDArray> (argx, argy); |
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393 } |
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394 |
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395 return retval; |
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396 } |
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397 |
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398 /* |
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399 %!test |
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400 %! x(:,:,1) = [1 2; 3 4]; |
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401 %! x(:,:,2) = [1 1; 1 1]; |
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402 %! z(:,:,1) = [7 10; 15 22]; |
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403 %! z(:,:,2) = [2 2; 2 2]; |
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404 %! assert (blkmm (x,x), z); |
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405 %! assert (blkmm (single (x), single (x)), single (z)); |
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406 %! assert (blkmm (x, single (x)), single (z)); |
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407 |
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408 %!test |
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409 %! x(:,:,1) = [1 2; 3 4]; |
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410 %! x(:,:,2) = [1i 1i; 1i 1i]; |
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411 %! z(:,:,1) = [7 10; 15 22]; |
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412 %! z(:,:,2) = [-2 -2; -2 -2]; |
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413 %! assert (blkmm (x,x), z); |
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414 %! assert (blkmm (single (x), single (x)), single (z)); |
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415 %! assert (blkmm (x, single (x)), single (z)); |
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416 |
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417 %!test <*54261> |
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418 %! x = ones (0, 3, 3); |
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419 %! y = ones (3, 5, 3); |
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420 %! z = blkmm (x,y); |
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421 %! assert (size (z), [0, 5, 3]); |
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422 %! x = ones (1, 3, 3); |
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423 %! y = ones (3, 0, 3); |
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424 %! z = blkmm (x,y); |
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425 %! assert (size (z), [1, 0, 3]); |
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426 |
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427 ## Test input validation |
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428 %!error blkmm () |
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429 %!error blkmm (1) |
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430 %!error blkmm (1,2,3) |
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431 %!error <A and B must be numeric> blkmm ({1,2}, [3,4]) |
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432 %!error <A and B must be numeric> blkmm ([3,4], {1,2}) |
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433 %!error <A and B dimensions don't match> blkmm (ones (2,2), ones (3,3)) |
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434 */ |
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435 |
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436 OCTAVE_NAMESPACE_END |