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remove unused variable from libgui/module.mk * libgui/module.mk: remove empty variable OCTAVE_GUI_EDITOR_MOC
author Torsten Lilge <ttl-octave@mailbox.org>
date Mon, 27 May 2024 19:42:05 +0200
parents 2e484f9f1f18
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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1 ########################################################################
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2 ##
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3 ## Copyright (C) 2013-2024 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 ## -*- texinfo -*-
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27 ## @deftypefn {} {@var{x} =} linsolve (@var{A}, @var{b})
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28 ## @deftypefnx {} {@var{x} =} linsolve (@var{A}, @var{b}, @var{opts})
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29 ## @deftypefnx {} {[@var{x}, @var{R}] =} linsolve (@dots{})
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30 ## Solve the linear system @code{A*x = b}.
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31 ##
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32 ## With no options, this function is equivalent to the left division operator
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33 ## @w{(@code{x = A \ b})} or the matrix-left-divide function
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34 ## @w{(@code{x = mldivide (A, b)})}.
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35 ##
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36 ## Octave ordinarily examines the properties of the matrix @var{A} and chooses
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37 ## a solver that best matches the matrix. By passing a structure @var{opts}
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38 ## to @code{linsolve} you can inform Octave directly about the matrix @var{A}.
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39 ## In this case Octave will skip the matrix examination and proceed directly
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40 ## to solving the linear system.
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41 ##
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42 ## @strong{Warning:} If the matrix @var{A} does not have the properties listed
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43 ## in the @var{opts} structure then the result will not be accurate AND no
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44 ## warning will be given. When in doubt, let Octave examine the matrix and
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45 ## choose the appropriate solver as this step takes little time and the result
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46 ## is cached so that it is only done once per linear system.
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47 ##
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48 ## Possible @var{opts} fields (set value to true/false):
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49 ##
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50 ## @table @asis
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51 ## @item LT
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52 ## @var{A} is lower triangular
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53 ##
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54 ## @item UT
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55 ## @var{A} is upper triangular
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56 ##
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57 ## @item UHESS
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58 ## @var{A} is upper Hessenberg (currently makes no difference)
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59 ##
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60 ## @item SYM
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61 ## @var{A} is symmetric or complex Hermitian (currently makes no difference)
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62 ##
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63 ## @item POSDEF
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64 ## @var{A} is positive definite
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65 ##
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66 ## @item RECT
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67 ## @var{A} is general rectangular (currently makes no difference)
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68 ##
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69 ## @item TRANSA
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70 ## Solve @code{A'*x = b} if true rather than @code{A*x = b}
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71 ## @end table
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72 ##
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73 ## The optional second output @var{R} is the inverse condition number of
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74 ## @var{A} (zero if matrix is singular).
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75 ## @seealso{mldivide, matrix_type, rcond}
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76 ## @end deftypefn
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77
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78 function [x, R] = linsolve (A, b, opts)
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79
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80 if (nargin < 2)
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81 print_usage ();
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82 endif
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83
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84 if (! (isnumeric (A) && isnumeric (b)))
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85 error ("linsolve: A and B must be numeric");
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86 endif
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87
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88 trans_A = false;
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89
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90 ## Process any opts
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91 if (nargin > 2)
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92 if (! isstruct (opts))
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93 error ("linsolve: OPTS must be a structure");
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94 endif
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95 if (isfield (opts, "TRANSA") && opts.TRANSA)
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96 trans_A = true;
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97 endif
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98 if (isfield (opts, "POSDEF") && opts.POSDEF)
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99 A = matrix_type (A, "positive definite");
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100 endif
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101 if (isfield (opts, "LT") && opts.LT)
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102 A = matrix_type (A, "lower");
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103 elseif (isfield (opts, "UT") && opts.UT)
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104 A = matrix_type (A, "upper");
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105 endif
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106 endif
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107
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108 ## This way is faster as the transpose is not calculated in Octave,
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109 ## but forwarded as a flag option to BLAS.
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110 if (trans_A)
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111 x = A' \ b;
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112 else
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113 x = A \ b;
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114 endif
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115
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116 if (nargout > 1)
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117 if (issquare (A))
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118 R = rcond (A);
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119 else
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120 R = 0;
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121 endif
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122 endif
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123
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124 endfunction
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125
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126
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127 %!test
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128 %! n = 10;
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129 %! A = rand (n);
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130 %! x = rand (n, 1);
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131 %! b = A * x;
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132 %! assert (linsolve (A, b), A \ b);
014e942ac29f linsolve.m: Fix regression when calling linsolve with 2 arguments (bug #45212)
Mike Miller <mtmiller@octave.org>
parents: 20030
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133 %! assert (linsolve (A, b, struct ()), A \ b);
014e942ac29f linsolve.m: Fix regression when calling linsolve with 2 arguments (bug #45212)
Mike Miller <mtmiller@octave.org>
parents: 20030
diff changeset
134
014e942ac29f linsolve.m: Fix regression when calling linsolve with 2 arguments (bug #45212)
Mike Miller <mtmiller@octave.org>
parents: 20030
diff changeset
135 %!test
014e942ac29f linsolve.m: Fix regression when calling linsolve with 2 arguments (bug #45212)
Mike Miller <mtmiller@octave.org>
parents: 20030
diff changeset
136 %! n = 10;
20030
91e1da1d1918 linsolve.m: Calculate solution in a BLAS-optimized way (bug #44722).
Rik <rik@octave.org>
parents: 19697
diff changeset
137 %! A = triu (gallery ("condex", n));
17500
b66f068e4468 linsolve.m: Use Octave coding conventions.
Rik <rik@octave.org>
parents: 17499
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138 %! x = rand (n, 1);
b66f068e4468 linsolve.m: Use Octave coding conventions.
Rik <rik@octave.org>
parents: 17499
diff changeset
139 %! b = A' * x;
b66f068e4468 linsolve.m: Use Octave coding conventions.
Rik <rik@octave.org>
parents: 17499
diff changeset
140 %! opts.UT = true;
b66f068e4468 linsolve.m: Use Octave coding conventions.
Rik <rik@octave.org>
parents: 17499
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141 %! opts.TRANSA = true;
b66f068e4468 linsolve.m: Use Octave coding conventions.
Rik <rik@octave.org>
parents: 17499
diff changeset
142 %! assert (linsolve (A, b, opts), A' \ b);
17499
c3a3532e3d98 linsolve.m: Add new function for Matlab compatibility.
Nir Krakauer < nkrakauer@ccny.cuny.edu>
parents:
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143
28896
90fea9cc9caa test: Add expected error message <Invalid call> to BIST tests for nargin.
Rik <rik@octave.org>
parents: 28789
diff changeset
144 %!error <Invalid call> linsolve ()
90fea9cc9caa test: Add expected error message <Invalid call> to BIST tests for nargin.
Rik <rik@octave.org>
parents: 28789
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145 %!error <Invalid call> linsolve (1)
17500
b66f068e4468 linsolve.m: Use Octave coding conventions.
Rik <rik@octave.org>
parents: 17499
diff changeset
146 %!error linsolve (1,2,3)
b66f068e4468 linsolve.m: Use Octave coding conventions.
Rik <rik@octave.org>
parents: 17499
diff changeset
147 %!error <A and B must be numeric> linsolve ({1},2)
b66f068e4468 linsolve.m: Use Octave coding conventions.
Rik <rik@octave.org>
parents: 17499
diff changeset
148 %!error <A and B must be numeric> linsolve (1,{2})
b66f068e4468 linsolve.m: Use Octave coding conventions.
Rik <rik@octave.org>
parents: 17499
diff changeset
149 %!error <OPTS must be a structure> linsolve (1,2,3)