Mercurial > octave
annotate libinterp/corefcn/dot.cc @ 29958:32c3a5805893
move DEFUN and DEFMETHOD functions inside octave namespace
* mk-opts.pl: Surround emitted function definitions with
OCTAVE_NAMESPACE_BEGIN and OCTAVE_NAMESPACE_END tags.
* mk-builtins.pl: Surround emitted function declarations with
OCTAVE_NAMESPACE_BEGIN and OCTAVE_NAMESPACE_END tags. Emit deprecated
global inline functions.
* __betainc__.cc, __contourc__.cc, __dsearchn__.cc, __eigs__.cc,
__expint__.cc, __ftp__.cc, __gammainc__.cc, __ichol__.cc, __ilu__.cc,
__lin_interpn__.cc, __magick_read__.cc, __pchip_deriv__.cc, __qp__.cc,
amd.cc, balance.cc, besselj.cc, bitfcns.cc, bsxfun.cc, call-stack.cc,
ccolamd.cc, cellfun.cc, chol.cc, colamd.cc, colloc.cc, conv2.cc,
daspk.cc, dasrt.cc, dassl.cc, data.cc, debug.cc, defaults.cc,
defun.cc, det.cc, dirfns.cc, display.cc, dlmread.cc, dmperm.cc,
dot.cc, eig.cc, ellipj.cc, environment.cc, error.cc, event-manager.cc,
fcn-info.cc, fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc,
gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc,
graphics.cc, gsvd.cc, hash.cc, help.cc, hess.cc, hex2num.cc, input.cc,
interpreter.cc, inv.cc, jsondecode.cc, jsonencode.cc, kron.cc,
load-path.cc, load-save.cc, lookup.cc, ls-oct-text.cc, lsode.cc,
lu.cc, mappers.cc, matrix_type.cc, max.cc, mgorth.cc, nproc.cc,
oct-hist.cc, ordqz.cc, ordschur.cc, pager.cc, pinv.cc, pr-flt-fmt.cc,
pr-output.cc, psi.cc, qr.cc, quad.cc, quadcc.cc, qz.cc, rand.cc,
rcond.cc, regexp.cc, schur.cc, settings.cc, sighandlers.cc, sparse.cc,
spparms.cc, sqrtm.cc, stream-euler.cc, strfind.cc, strfns.cc,
sub2ind.cc, svd.cc, sylvester.cc, symbfact.cc, symrcm.cc, symtab.cc,
syscalls.cc, sysdep.cc, time.cc, toplev.cc, tril.cc, tsearch.cc,
typecast.cc, urlwrite.cc, utils.cc, variables.cc, __delaunayn__.cc,
__fltk_uigetfile__.cc, __glpk__.cc, __init_gnuplot__.cc, __ode15__.cc,
__voronoi__.cc, audiodevinfo.cc, audioread.cc, convhulln.cc, fftw.cc,
gzip.cc, ov-base.cc, ov-bool-mat.cc, ov-cell.cc, ov-class.cc,
ov-classdef.cc, ov-fcn-handle.cc, ov-java.cc, ov-null-mat.cc,
ov-oncleanup.cc, ov-struct.cc, ov-typeinfo.cc, ov-usr-fcn.cc, ov.cc,
octave.cc, lex.ll, oct-parse.yy, profiler.cc, pt-eval.cc: Surround
DEFUN and DEFMETHOD function defnitions with OCTAVE_NAMESPACE_BEGIN
and OCTAVE_NAMESPACE_END tags.
author | John W. Eaton <jwe@octave.org> |
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date | Fri, 13 Aug 2021 21:53:51 -0400 |
parents | 7854d5752dd2 |
children | 7d6709900da7 |
rev | line source |
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1 //////////////////////////////////////////////////////////////////////// |
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2 // |
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3 // Copyright (C) 2009-2021 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 = octave::to_f77_int (tmp_m); |
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70 n = octave::to_f77_int (tmp_n); |
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71 k = octave::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) = octave::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 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 = octave::to_f77_int (dimx(0)); |
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306 k = octave::to_f77_int (dimx(1)); |
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307 n = octave::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 = octave::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 |