Mercurial > octave
annotate libinterp/corefcn/dot.cc @ 31606:dfa5d9c3ae72
maint: merge stable to default
author | Rik <rik@octave.org> |
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date | Thu, 01 Dec 2022 14:28:07 -0800 |
parents | 212cc32100f5 e88a07dec498 |
children | 5f11de0e7440 |
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_BEGIN_NAMESPACE(octave) |
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39 |
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40 // FIXME: input 'y' is no longer necessary (2/5/2022). |
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41 // At some point it would be better to change all occurrences of |
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42 // get_red_dims to eliminate this input parameter. |
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43 static void |
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44 get_red_dims (const dim_vector& x, const dim_vector& /* y */, int dim, |
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45 dim_vector& z, F77_INT& m, F77_INT& n, F77_INT& k) |
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46 { |
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47 int nd = x.ndims (); |
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48 z = dim_vector::alloc (nd); |
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49 octave_idx_type tmp_m = 1; |
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50 octave_idx_type tmp_n = 1; |
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51 octave_idx_type tmp_k = 1; |
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52 for (int i = 0; i < nd; i++) |
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53 { |
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54 if (i < dim) |
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55 { |
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56 z(i) = x(i); |
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57 tmp_m *= x(i); |
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58 } |
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59 else if (i > dim) |
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60 { |
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61 z(i) = x(i); |
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62 tmp_n *= x(i); |
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63 } |
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64 else |
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65 { |
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66 z(i) = 1; |
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67 tmp_k = x(i); |
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68 } |
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69 } |
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70 |
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71 m = to_f77_int (tmp_m); |
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72 n = to_f77_int (tmp_n); |
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73 k = to_f77_int (tmp_k); |
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74 } |
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75 |
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76 DEFUN (dot, args, , |
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77 doc: /* -*- texinfo -*- |
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78 @deftypefn {} {@var{z} =} dot (@var{x}, @var{y}) |
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79 @deftypefnx {} {@var{z} =} dot (@var{x}, @var{y}, @var{dim}) |
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80 Compute the dot product of two vectors. |
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81 |
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82 If @var{x} and @var{y} are matrices, calculate the dot products along the |
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83 first non-singleton dimension. |
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84 |
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85 If the optional argument @var{dim} is given, calculate the dot products |
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86 along this dimension. |
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87 |
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88 Implementation Note: This is equivalent to |
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89 @code{sum (conj (@var{X}) .* @var{Y}, @var{dim})}, but avoids forming a |
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90 temporary array and is faster. When @var{X} and @var{Y} are column vectors, |
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91 the result is equivalent to @code{@var{X}' * @var{Y}}. Although, @code{dot} |
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92 is defined for integer arrays, the output may differ from the expected result |
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93 due to the limited range of integer objects. |
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94 @seealso{cross, divergence, tensorprod} |
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95 @end deftypefn */) |
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96 { |
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97 int nargin = args.length (); |
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98 |
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99 if (nargin < 2 || nargin > 3) |
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100 print_usage (); |
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101 |
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102 octave_value retval; |
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103 octave_value argx = args(0); |
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104 octave_value argy = args(1); |
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105 |
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106 if (! argx.isnumeric () || ! argy.isnumeric ()) |
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107 error ("dot: X and Y must be numeric"); |
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108 |
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109 dim_vector dimx = argx.dims (); |
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110 dim_vector dimy = argy.dims (); |
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111 bool match = dimx == dimy; |
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112 if (! match && nargin == 2 && dimx.isvector () && dimy.isvector ()) |
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113 { |
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114 // Change to column vectors. |
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115 dimx = dimx.redim (1); |
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116 argx = argx.reshape (dimx); |
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117 dimy = dimy.redim (1); |
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118 argy = argy.reshape (dimy); |
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119 match = dimx == dimy; |
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120 } |
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121 |
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122 if (! match) |
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123 error ("dot: sizes of X and Y must match"); |
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124 |
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125 int dim; |
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126 if (nargin == 2) |
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127 dim = dimx.first_non_singleton (); |
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128 else |
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129 dim = args(2).int_value (true) - 1; |
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130 |
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131 if (dim < 0) |
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132 error ("dot: DIM must be a valid dimension"); |
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133 |
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134 F77_INT m, n, k; |
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135 dim_vector dimz; |
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136 if (argx.iscomplex () || argy.iscomplex ()) |
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137 { |
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138 if (argx.is_single_type () || argy.is_single_type ()) |
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139 { |
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140 FloatComplexNDArray x = argx.float_complex_array_value (); |
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141 FloatComplexNDArray y = argy.float_complex_array_value (); |
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142 get_red_dims (dimx, dimy, dim, dimz, m, n, k); |
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143 FloatComplexNDArray z (dimz); |
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144 |
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145 F77_XFCN (cdotc3, CDOTC3, (m, n, k, |
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146 F77_CONST_CMPLX_ARG (x.data ()), F77_CONST_CMPLX_ARG (y.data ()), |
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147 F77_CMPLX_ARG (z.fortran_vec ()))); |
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148 retval = z; |
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149 } |
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150 else |
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151 { |
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152 ComplexNDArray x = argx.complex_array_value (); |
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153 ComplexNDArray y = argy.complex_array_value (); |
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154 get_red_dims (dimx, dimy, dim, dimz, m, n, k); |
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155 ComplexNDArray z (dimz); |
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156 |
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157 F77_XFCN (zdotc3, ZDOTC3, (m, n, k, |
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158 F77_CONST_DBLE_CMPLX_ARG (x.data ()), F77_CONST_DBLE_CMPLX_ARG (y.data ()), |
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159 F77_DBLE_CMPLX_ARG (z.fortran_vec ()))); |
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160 retval = z; |
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161 } |
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162 } |
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163 else if (argx.isfloat () && argy.isfloat ()) |
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164 { |
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165 if (argx.is_single_type () || argy.is_single_type ()) |
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166 { |
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167 FloatNDArray x = argx.float_array_value (); |
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168 FloatNDArray y = argy.float_array_value (); |
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169 get_red_dims (dimx, dimy, dim, dimz, m, n, k); |
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170 FloatNDArray z (dimz); |
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171 |
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172 F77_XFCN (sdot3, SDOT3, (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 else |
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177 { |
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178 NDArray x = argx.array_value (); |
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179 NDArray y = argy.array_value (); |
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180 get_red_dims (dimx, dimy, dim, dimz, m, n, k); |
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181 NDArray z (dimz); |
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182 |
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183 F77_XFCN (ddot3, DDOT3, (m, n, k, x.data (), y.data (), |
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184 z.fortran_vec ())); |
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185 retval = z; |
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186 } |
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187 } |
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188 else |
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189 { |
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190 // Non-optimized evaluation. |
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191 // FIXME: This may *not* do what the user expects. |
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192 // It might be more useful to issue a warning, or even an error, instead |
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193 // of calculating possibly garbage results. |
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194 // Think of the dot product of two int8 vectors where the multiplications |
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195 // exceed intmax. |
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196 octave_value_list tmp; |
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197 tmp(1) = dim + 1; |
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198 tmp(0) = binary_op (octave_value::op_el_mul, argx, argy); |
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199 |
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200 tmp = Fsum (tmp, 1); |
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201 if (! tmp.empty ()) |
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202 retval = tmp(0); |
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203 } |
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204 |
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205 return retval; |
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206 } |
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207 |
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208 /* |
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209 %!assert (dot ([1, 2], [2, 3]), 8) |
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210 |
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211 %!test |
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212 %! x = [2, 1; 2, 1]; |
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213 %! y = [-0.5, 2; 0.5, -2]; |
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214 %! assert (dot (x, y), [0 0]); |
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215 %! assert (dot (single (x), single (y)), single ([0 0])); |
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216 |
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217 %!test |
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218 %! x = [1+i, 3-i; 1-i, 3-i]; |
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219 %! assert (dot (x, x), [4, 20]); |
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220 %! assert (dot (single (x), single (x)), single ([4, 20])); |
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221 |
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222 %!test |
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223 %! x = int8 ([1, 2]); |
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224 %! y = int8 ([2, 3]); |
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225 %! assert (dot (x, y), 8); |
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226 |
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227 %!test |
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228 %! x = int8 ([1, 2; 3, 4]); |
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229 %! y = int8 ([5, 6; 7, 8]); |
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230 %! assert (dot (x, y), [26 44]); |
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231 %! assert (dot (x, y, 2), [17; 53]); |
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232 %! assert (dot (x, y, 3), [5 12; 21 32]); |
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233 |
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234 ## This is, perhaps, surprising. Integer maximums and saturation mechanics |
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235 ## prevent accurate value from being calculated. |
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236 %!test |
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237 %! x = int8 ([127]); |
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238 %! assert (dot (x, x), 127); |
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239 |
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240 ## Test input validation |
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241 %!error dot () |
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242 %!error dot (1) |
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243 %!error dot (1,2,3,4) |
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244 %!error <X and Y must be numeric> dot ({1,2}, [3,4]) |
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245 %!error <X and Y must be numeric> dot ([1,2], {3,4}) |
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246 %!error <sizes of X and Y must match> dot ([1 2], [1 2 3]) |
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247 %!error <sizes of X and Y must match> dot ([1 2]', [1 2 3]') |
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248 %!error <sizes of X and Y must match> dot (ones (2,2), ones (2,3)) |
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249 %!error <DIM must be a valid dimension> dot ([1 2], [1 2], 0) |
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250 */ |
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251 |
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252 template <typename T> |
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253 static void |
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254 blkmm_internal (const T& x, const T& y, T& z, |
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255 F77_INT m, F77_INT n, F77_INT k, F77_INT np); |
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256 |
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257 template <> |
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258 void |
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259 blkmm_internal (const FloatComplexNDArray& x, const FloatComplexNDArray& y, |
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260 FloatComplexNDArray& z, |
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261 F77_INT m, F77_INT n, F77_INT k, F77_INT np) |
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262 { |
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263 F77_XFCN (cmatm3, CMATM3, (m, n, k, np, |
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264 F77_CONST_CMPLX_ARG (x.data ()), |
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265 F77_CONST_CMPLX_ARG (y.data ()), |
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266 F77_CMPLX_ARG (z.fortran_vec ()))); |
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267 } |
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268 |
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269 template <> |
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270 void |
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271 blkmm_internal (const ComplexNDArray& x, const ComplexNDArray& y, |
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272 ComplexNDArray& z, |
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273 F77_INT m, F77_INT n, F77_INT k, F77_INT np) |
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274 { |
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275 F77_XFCN (zmatm3, ZMATM3, (m, n, k, np, |
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276 F77_CONST_DBLE_CMPLX_ARG (x.data ()), |
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277 F77_CONST_DBLE_CMPLX_ARG (y.data ()), |
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278 F77_DBLE_CMPLX_ARG (z.fortran_vec ()))); |
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279 } |
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280 |
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281 template <> |
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282 void |
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283 blkmm_internal (const FloatNDArray& x, const FloatNDArray& y, FloatNDArray& z, |
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284 F77_INT m, F77_INT n, F77_INT k, F77_INT np) |
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285 { |
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286 F77_XFCN (smatm3, SMATM3, (m, n, k, np, |
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287 x.data (), y.data (), |
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288 z.fortran_vec ())); |
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289 } |
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290 |
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291 template <> |
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292 void |
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293 blkmm_internal (const NDArray& x, const NDArray& y, NDArray& z, |
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294 F77_INT m, F77_INT n, F77_INT k, F77_INT np) |
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295 { |
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296 F77_XFCN (dmatm3, DMATM3, (m, n, k, np, |
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297 x.data (), y.data (), |
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298 z.fortran_vec ())); |
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299 } |
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300 |
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301 static void |
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302 get_blkmm_dims (const dim_vector& dimx, const dim_vector& dimy, |
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303 F77_INT& m, F77_INT& n, F77_INT& k, F77_INT& np, |
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304 dim_vector& dimz) |
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305 { |
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306 int nd = dimx.ndims (); |
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307 |
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308 m = to_f77_int (dimx(0)); |
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309 k = to_f77_int (dimx(1)); |
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310 n = to_f77_int (dimy(1)); |
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311 |
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312 octave_idx_type tmp_np = 1; |
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313 |
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314 bool match = ((dimy(0) == k) && (nd == dimy.ndims ())); |
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315 |
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316 dimz = dim_vector::alloc (nd); |
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317 |
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318 dimz(0) = m; |
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319 dimz(1) = n; |
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320 for (int i = 2; match && i < nd; i++) |
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321 { |
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322 match = (dimx(i) == dimy(i)); |
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323 dimz(i) = dimx(i); |
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324 tmp_np *= dimz(i); |
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325 } |
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326 |
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327 np = to_f77_int (tmp_np); |
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328 |
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329 if (! match) |
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330 error ("blkmm: A and B dimensions don't match: (%s) and (%s)", |
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331 dimx.str ().c_str (), dimy.str ().c_str ()); |
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332 } |
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333 |
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334 template <typename T> |
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335 T |
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336 do_blkmm (const octave_value& xov, const octave_value& yov) |
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337 { |
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338 const T x = octave_value_extract<T> (xov); |
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339 const T y = octave_value_extract<T> (yov); |
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340 F77_INT m, n, k, np; |
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341 dim_vector dimz; |
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342 |
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343 get_blkmm_dims (x.dims (), y.dims (), m, n, k, np, dimz); |
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344 |
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345 T z (dimz); |
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346 |
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347 if (n != 0 && m != 0) |
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348 blkmm_internal<T> (x, y, z, m, n, k, np); |
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349 |
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350 return z; |
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351 } |
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352 |
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353 DEFUN (blkmm, args, , |
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354 doc: /* -*- texinfo -*- |
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355 @deftypefn {} {@var{C} =} blkmm (@var{A}, @var{B}) |
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356 Compute products of matrix blocks. |
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357 |
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358 The blocks are given as 2-dimensional subarrays of the arrays @var{A}, |
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359 @var{B}. The size of @var{A} must have the form @code{[m,k,@dots{}]} and |
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360 size of @var{B} must be @code{[k,n,@dots{}]}. The result is then of size |
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361 @code{[m,n,@dots{}]} and is computed as follows: |
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362 |
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363 @example |
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364 @group |
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365 for i = 1:prod (size (@var{A})(3:end)) |
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366 @var{C}(:,:,i) = @var{A}(:,:,i) * @var{B}(:,:,i) |
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367 endfor |
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368 @end group |
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369 @end example |
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370 @end deftypefn */) |
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371 { |
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372 if (args.length () != 2) |
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373 print_usage (); |
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374 |
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375 octave_value retval; |
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376 |
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377 octave_value argx = args(0); |
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378 octave_value argy = args(1); |
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379 |
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380 if (! argx.isnumeric () || ! argy.isnumeric ()) |
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381 error ("blkmm: A and B must be numeric"); |
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382 |
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383 if (argx.iscomplex () || argy.iscomplex ()) |
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384 { |
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385 if (argx.is_single_type () || argy.is_single_type ()) |
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386 retval = do_blkmm<FloatComplexNDArray> (argx, argy); |
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387 else |
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388 retval = do_blkmm<ComplexNDArray> (argx, argy); |
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389 } |
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390 else |
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391 { |
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392 if (argx.is_single_type () || argy.is_single_type ()) |
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393 retval = do_blkmm<FloatNDArray> (argx, argy); |
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394 else |
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395 retval = do_blkmm<NDArray> (argx, argy); |
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396 } |
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397 |
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398 return retval; |
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399 } |
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400 |
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401 /* |
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402 %!test |
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403 %! x(:,:,1) = [1 2; 3 4]; |
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404 %! x(:,:,2) = [1 1; 1 1]; |
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405 %! z(:,:,1) = [7 10; 15 22]; |
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406 %! z(:,:,2) = [2 2; 2 2]; |
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407 %! assert (blkmm (x,x), z); |
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408 %! assert (blkmm (single (x), single (x)), single (z)); |
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409 %! assert (blkmm (x, single (x)), single (z)); |
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410 |
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411 %!test |
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412 %! x(:,:,1) = [1 2; 3 4]; |
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413 %! x(:,:,2) = [1i 1i; 1i 1i]; |
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414 %! z(:,:,1) = [7 10; 15 22]; |
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415 %! z(:,:,2) = [-2 -2; -2 -2]; |
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416 %! assert (blkmm (x,x), z); |
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417 %! assert (blkmm (single (x), single (x)), single (z)); |
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418 %! assert (blkmm (x, single (x)), single (z)); |
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419 |
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420 %!test <*54261> |
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421 %! x = ones (0, 3, 3); |
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422 %! y = ones (3, 5, 3); |
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423 %! z = blkmm (x,y); |
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424 %! assert (size (z), [0, 5, 3]); |
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425 %! x = ones (1, 3, 3); |
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426 %! y = ones (3, 0, 3); |
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427 %! z = blkmm (x,y); |
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428 %! assert (size (z), [1, 0, 3]); |
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429 |
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430 ## Test input validation |
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431 %!error blkmm () |
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432 %!error blkmm (1) |
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433 %!error blkmm (1,2,3) |
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434 %!error <A and B must be numeric> blkmm ({1,2}, [3,4]) |
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435 %!error <A and B must be numeric> blkmm ([3,4], {1,2}) |
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436 %!error <A and B dimensions don't match> blkmm (ones (2,2), ones (3,3)) |
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437 */ |
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438 |
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439 OCTAVE_END_NAMESPACE(octave) |