Mercurial > octave
annotate libinterp/corefcn/dot.cc @ 23220:092078913d54
maint: Merge stable to default.
author | John W. Eaton <jwe@octave.org> |
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date | Wed, 22 Feb 2017 12:58:07 -0500 |
parents | ef4d915df748 3ac9f9ecfae5 |
children | c3075ae020e1 |
rev | line source |
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1 /* |
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2 |
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3 Copyright (C) 2009-2017 VZLU Prague |
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4 |
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5 This file is part of Octave. |
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6 |
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7 Octave is free software; you can redistribute it and/or modify it |
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8 under the terms of the GNU General Public License as published by |
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9 the Free Software Foundation; either version 3 of the License, or |
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10 (at your option) any later version. |
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11 |
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12 Octave is distributed in the hope that it will be useful, but |
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13 WITHOUT ANY WARRANTY; without even the implied warranty of |
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14 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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15 GNU General Public License for more details. |
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16 |
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17 You should have received a copy of the GNU General Public License |
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18 along with Octave; see the file COPYING. If not, see |
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19 <http://www.gnu.org/licenses/>. |
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20 |
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21 */ |
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22 |
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23 #if defined (HAVE_CONFIG_H) |
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24 # include "config.h" |
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25 #endif |
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26 |
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27 #include "lo-blas-proto.h" |
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28 #include "mx-base.h" |
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29 #include "error.h" |
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30 #include "defun.h" |
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31 #include "parse.h" |
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32 |
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33 static void |
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34 get_red_dims (const dim_vector& x, const dim_vector& y, int dim, |
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35 dim_vector& z, F77_INT& m, F77_INT& n, F77_INT& k) |
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36 { |
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37 int nd = x.ndims (); |
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38 assert (nd == y.ndims ()); |
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39 z = dim_vector::alloc (nd); |
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40 octave_idx_type tmp_m = 1; |
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41 octave_idx_type tmp_n = 1; |
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42 octave_idx_type tmp_k = 1; |
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43 for (int i = 0; i < nd; i++) |
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44 { |
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45 if (i < dim) |
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46 { |
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47 z(i) = x(i); |
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48 tmp_m *= x(i); |
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49 } |
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50 else if (i > dim) |
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51 { |
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52 z(i) = x(i); |
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53 tmp_n *= x(i); |
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54 } |
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55 else |
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56 { |
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57 tmp_k = x(i); |
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58 z(i) = 1; |
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59 } |
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60 } |
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61 |
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62 m = octave::to_f77_int (tmp_m); |
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63 n = octave::to_f77_int (tmp_n); |
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64 k = octave::to_f77_int (tmp_k); |
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65 } |
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66 |
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67 DEFUN (dot, args, , |
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68 doc: /* -*- texinfo -*- |
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69 @deftypefn {} {} dot (@var{x}, @var{y}, @var{dim}) |
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70 Compute the dot product of two vectors. |
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71 |
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72 If @var{x} and @var{y} are matrices, calculate the dot products along the |
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73 first non-singleton dimension. |
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74 |
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75 If the optional argument @var{dim} is given, calculate the dot products |
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76 along this dimension. |
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77 |
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78 This is equivalent to |
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79 @code{sum (conj (@var{X}) .* @var{Y}, @var{dim})}, |
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80 but avoids forming a temporary array and is faster. When @var{X} and |
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81 @var{Y} are column vectors, the result is equivalent to |
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82 @code{@var{X}' * @var{Y}}. |
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83 @seealso{cross, divergence} |
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84 @end deftypefn */) |
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85 { |
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86 int nargin = args.length (); |
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87 |
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88 if (nargin < 2 || nargin > 3) |
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89 print_usage (); |
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90 |
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91 octave_value retval; |
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92 octave_value argx = args(0); |
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93 octave_value argy = args(1); |
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94 |
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95 if (! argx.is_numeric_type () || ! argy.is_numeric_type ()) |
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96 error ("dot: X and Y must be numeric"); |
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97 |
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98 dim_vector dimx = argx.dims (); |
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99 dim_vector dimy = argy.dims (); |
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100 bool match = dimx == dimy; |
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101 if (! match && nargin == 2 && dimx.is_vector () && dimy.is_vector ()) |
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102 { |
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103 // Change to column vectors. |
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104 dimx = dimx.redim (1); |
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105 argx = argx.reshape (dimx); |
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106 dimy = dimy.redim (1); |
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107 argy = argy.reshape (dimy); |
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108 match = dimx == dimy; |
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109 } |
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110 |
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111 if (! match) |
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112 error ("dot: sizes of X and Y must match"); |
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113 |
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114 int dim; |
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115 if (nargin == 2) |
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116 dim = dimx.first_non_singleton (); |
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117 else |
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118 dim = args(2).int_value (true) - 1; |
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119 |
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120 if (dim < 0) |
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121 error ("dot: DIM must be a valid dimension"); |
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122 |
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123 F77_INT m, n, k; |
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124 dim_vector dimz; |
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125 if (argx.is_complex_type () || argy.is_complex_type ()) |
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126 { |
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127 if (argx.is_single_type () || argy.is_single_type ()) |
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128 { |
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129 FloatComplexNDArray x = argx.float_complex_array_value (); |
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130 FloatComplexNDArray y = argy.float_complex_array_value (); |
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131 get_red_dims (dimx, dimy, dim, dimz, m, n, k); |
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132 FloatComplexNDArray z (dimz); |
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133 |
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134 F77_XFCN (cdotc3, CDOTC3, (m, n, k, |
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135 F77_CONST_CMPLX_ARG (x.data ()), F77_CONST_CMPLX_ARG (y.data ()), |
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136 F77_CMPLX_ARG (z.fortran_vec ()))); |
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137 retval = z; |
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138 } |
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139 else |
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140 { |
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141 ComplexNDArray x = argx.complex_array_value (); |
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142 ComplexNDArray y = argy.complex_array_value (); |
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143 get_red_dims (dimx, dimy, dim, dimz, m, n, k); |
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144 ComplexNDArray z (dimz); |
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145 |
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146 F77_XFCN (zdotc3, ZDOTC3, (m, n, k, |
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147 F77_CONST_DBLE_CMPLX_ARG (x.data ()), F77_CONST_DBLE_CMPLX_ARG (y.data ()), |
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148 F77_DBLE_CMPLX_ARG (z.fortran_vec ()))); |
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149 retval = z; |
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150 } |
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151 } |
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152 else if (argx.is_float_type () && argy.is_float_type ()) |
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153 { |
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154 if (argx.is_single_type () || argy.is_single_type ()) |
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155 { |
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156 FloatNDArray x = argx.float_array_value (); |
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157 FloatNDArray y = argy.float_array_value (); |
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158 get_red_dims (dimx, dimy, dim, dimz, m, n, k); |
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159 FloatNDArray z (dimz); |
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160 |
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161 F77_XFCN (sdot3, SDOT3, (m, n, k, x.data (), y.data (), |
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162 z.fortran_vec ())); |
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163 retval = z; |
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164 } |
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165 else |
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166 { |
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167 NDArray x = argx.array_value (); |
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168 NDArray y = argy.array_value (); |
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169 get_red_dims (dimx, dimy, dim, dimz, m, n, k); |
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170 NDArray z (dimz); |
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171 |
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172 F77_XFCN (ddot3, DDOT3, (m, n, k, x.data (), y.data (), |
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173 z.fortran_vec ())); |
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174 retval = z; |
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175 } |
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176 } |
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177 else |
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178 { |
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179 // Non-optimized evaluation. |
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180 octave_value_list tmp; |
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181 tmp(1) = dim + 1; |
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182 tmp(0) = do_binary_op (octave_value::op_el_mul, argx, argy); |
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183 |
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184 tmp = octave::feval ("sum", tmp, 1); |
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185 if (! tmp.empty ()) |
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186 retval = tmp(0); |
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187 } |
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188 |
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189 return retval; |
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190 } |
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191 |
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192 /* |
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193 %!assert (dot ([1, 2], [2, 3]), 8) |
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194 |
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195 %!test |
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196 %! x = [2, 1; 2, 1]; |
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197 %! y = [-0.5, 2; 0.5, -2]; |
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198 %! assert (dot (x, y), [0 0]); |
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199 %! assert (dot (single (x), single (y)), single ([0 0])); |
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200 |
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201 %!test |
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202 %! x = [1+i, 3-i; 1-i, 3-i]; |
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203 %! assert (dot (x, x), [4, 20]); |
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204 %! assert (dot (single (x), single (x)), single ([4, 20])); |
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205 |
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206 %!test |
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207 %! x = int8 ([1 2]); |
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208 %! y = int8 ([2 3]); |
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209 %! assert (dot (x, y), 8); |
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210 |
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211 %!test |
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212 %! x = int8 ([1 2; 3 4]); |
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213 %! y = int8 ([5 6; 7 8]); |
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214 %! assert (dot (x, y), [26 44]); |
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215 %! assert (dot (x, y, 2), [17; 53]); |
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216 %! assert (dot (x, y, 3), [5 12; 21 32]); |
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217 |
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218 ## Test input validation |
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219 %!error dot () |
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220 %!error dot (1) |
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221 %!error dot (1,2,3,4) |
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222 %!error <X and Y must be numeric> dot ({1,2}, [3,4]) |
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223 %!error <X and Y must be numeric> dot ([1,2], {3,4}) |
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224 %!error <sizes of X and Y must match> dot ([1 2], [1 2 3]) |
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225 %!error <sizes of X and Y must match> dot ([1 2]', [1 2 3]') |
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226 %!error <sizes of X and Y must match> dot (ones (2,2), ones (2,3)) |
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227 %!error <DIM must be a valid dimension> dot ([1 2], [1 2], 0) |
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228 */ |
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229 |
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230 DEFUN (blkmm, args, , |
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231 doc: /* -*- texinfo -*- |
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232 @deftypefn {} {} blkmm (@var{A}, @var{B}) |
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233 Compute products of matrix blocks. |
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234 |
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235 The blocks are given as 2-dimensional subarrays of the arrays @var{A}, |
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236 @var{B}. The size of @var{A} must have the form @code{[m,k,@dots{}]} and |
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237 size of @var{B} must be @code{[k,n,@dots{}]}. The result is then of size |
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238 @code{[m,n,@dots{}]} and is computed as follows: |
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239 |
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240 @example |
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241 @group |
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242 for i = 1:prod (size (@var{A})(3:end)) |
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243 @var{C}(:,:,i) = @var{A}(:,:,i) * @var{B}(:,:,i) |
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244 endfor |
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245 @end group |
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246 @end example |
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247 @end deftypefn */) |
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248 { |
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249 if (args.length () != 2) |
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250 print_usage (); |
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251 |
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252 octave_value retval; |
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253 |
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254 octave_value argx = args(0); |
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255 octave_value argy = args(1); |
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256 |
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257 if (! argx.is_numeric_type () || ! argy.is_numeric_type ()) |
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258 error ("blkmm: A and B must be numeric"); |
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259 |
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260 const dim_vector dimx = argx.dims (); |
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261 const dim_vector dimy = argy.dims (); |
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262 int nd = dimx.ndims (); |
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263 F77_INT m = octave::to_f77_int (dimx(0)); |
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264 F77_INT k = octave::to_f77_int (dimx(1)); |
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265 F77_INT n = octave::to_f77_int (dimy(1)); |
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266 octave_idx_type tmp_np = 1; |
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267 bool match = dimy(0) == k && nd == dimy.ndims (); |
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268 dim_vector dimz = dim_vector::alloc (nd); |
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269 dimz(0) = m; |
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270 dimz(1) = n; |
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271 for (int i = 2; match && i < nd; i++) |
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272 { |
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273 match = match && dimx(i) == dimy(i); |
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274 dimz(i) = dimx(i); |
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275 tmp_np *= dimz(i); |
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276 } |
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277 F77_INT np = octave::to_f77_int (tmp_np); |
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278 |
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279 if (! match) |
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280 error ("blkmm: A and B dimensions don't match: (%s) and (%s)", |
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281 dimx.str ().c_str (), dimy.str ().c_str ()); |
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282 |
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283 if (argx.is_complex_type () || argy.is_complex_type ()) |
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284 { |
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285 if (argx.is_single_type () || argy.is_single_type ()) |
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286 { |
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287 FloatComplexNDArray x = argx.float_complex_array_value (); |
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288 FloatComplexNDArray y = argy.float_complex_array_value (); |
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289 FloatComplexNDArray z (dimz); |
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290 |
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291 F77_XFCN (cmatm3, CMATM3, (m, n, k, np, |
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292 F77_CONST_CMPLX_ARG (x.data ()), F77_CONST_CMPLX_ARG (y.data ()), |
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293 F77_CMPLX_ARG (z.fortran_vec ()))); |
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294 retval = z; |
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295 } |
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296 else |
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297 { |
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298 ComplexNDArray x = argx.complex_array_value (); |
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299 ComplexNDArray y = argy.complex_array_value (); |
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300 ComplexNDArray z (dimz); |
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301 |
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302 F77_XFCN (zmatm3, ZMATM3, (m, n, k, np, |
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303 F77_CONST_DBLE_CMPLX_ARG (x.data ()), F77_CONST_DBLE_CMPLX_ARG (y.data ()), |
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304 F77_DBLE_CMPLX_ARG (z.fortran_vec ()))); |
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305 retval = z; |
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306 } |
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307 } |
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308 else |
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309 { |
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310 if (argx.is_single_type () || argy.is_single_type ()) |
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311 { |
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312 FloatNDArray x = argx.float_array_value (); |
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313 FloatNDArray y = argy.float_array_value (); |
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314 FloatNDArray z (dimz); |
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315 |
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316 F77_XFCN (smatm3, SMATM3, (m, n, k, np, |
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317 x.data (), y.data (), |
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318 z.fortran_vec ())); |
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319 retval = z; |
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320 } |
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321 else |
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322 { |
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323 NDArray x = argx.array_value (); |
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324 NDArray y = argy.array_value (); |
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325 NDArray z (dimz); |
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326 |
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327 F77_XFCN (dmatm3, DMATM3, (m, n, k, np, |
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328 x.data (), y.data (), |
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329 z.fortran_vec ())); |
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330 retval = z; |
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331 } |
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332 } |
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333 |
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334 return retval; |
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335 } |
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336 |
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337 /* |
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338 %!test |
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339 %! x(:,:,1) = [1 2; 3 4]; |
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340 %! x(:,:,2) = [1 1; 1 1]; |
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341 %! z(:,:,1) = [7 10; 15 22]; |
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342 %! z(:,:,2) = [2 2; 2 2]; |
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343 %! assert (blkmm (x,x), z); |
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344 %! assert (blkmm (single (x), single (x)), single (z)); |
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345 %! assert (blkmm (x, single (x)), single (z)); |
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346 |
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347 %!test |
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348 %! x(:,:,1) = [1 2; 3 4]; |
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349 %! x(:,:,2) = [1i 1i; 1i 1i]; |
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350 %! z(:,:,1) = [7 10; 15 22]; |
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351 %! z(:,:,2) = [-2 -2; -2 -2]; |
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352 %! assert (blkmm (x,x), z); |
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353 %! assert (blkmm (single (x), single (x)), single (z)); |
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354 %! assert (blkmm (x, single (x)), single (z)); |
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355 |
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356 ## Test input validation |
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357 %!error blkmm () |
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358 %!error blkmm (1) |
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359 %!error blkmm (1,2,3) |
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360 %!error <A and B dimensions don't match> blkmm (ones (2,2), ones (3,3)) |
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361 %!error <A and B must be numeric> blkmm ({1,2}, [3,4]) |
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362 %!error <A and B must be numeric> blkmm ([3,4], {1,2}) |
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363 */ |