Mercurial > octave
annotate libinterp/corefcn/sylvester.cc @ 20940:48b2ad5ee801
maint: Rename oct-obj.[cc|h] to ovl.[cc|h] for clarity.
* libinterp/corefcn/oct-obj.h: Replaced. Contains a #warning issued if used in
compilation and includes "ovl.h" instead. Original file renamed to
libinterp/octave-value/ovl.h
* libinterp/corefcn/oct-obj.cc: Renamed to libinterp/octave-value/ovl.cc.
* oct-obj.cc (ovl ()): Added new function to return empty octave_value_list.
* libinterp/corefcn/module.mk: Remove oct-obj.cc from build system.
* libinterp/octave-value/module.mk: Add ovl.h and ovl.cc to build system.
* mk-opts.pl, annotation-dialog.h, Cell.cc, __contourc__.cc, __dsearchn__.cc,
__lin_interpn__.cc, __pchip_deriv__.cc, __qp__.cc, balance.cc, besselj.cc,
betainc.cc, colloc.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc,
debug.cc, defaults.cc, defun.cc, det.cc, dirfns.cc, dlmread.cc, eig.cc,
error.cc, fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc,
gammainc.cc, gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc,
graphics.cc, gripes.cc, help.cc, hess.cc, hex2num.cc, hook-fcn.h, input.cc,
input.h, inv.cc, kron.cc, load-save.cc, lookup.cc, ls-hdf5.cc, ls-mat-ascii.cc,
ls-mat4.cc, ls-mat5.cc, ls-oct-binary.cc, ls-oct-text.cc, lsode.cc, lu.cc,
luinc.cc, max.cc, mex.cc, oct-hist.cc, oct-lvalue.cc, oct-lvalue.h, oct-map.h,
oct-stream.cc, oct.h, ordschur.cc, pager.cc, pinv.cc, pr-output.cc, quad.cc,
quadcc.cc, qz.cc, rand.cc, rcond.cc, regexp.cc, schur.cc, sparse-xpow.cc,
strfns.cc, sub2ind.cc, svd.cc, sylvester.cc, symtab.h, syscalls.cc, sysdep.cc,
time.cc, toplev.cc, tril.cc, tsearch.cc, typecast.cc, urlwrite.cc, utils.cc,
variables.cc, xpow.cc, __delaunayn__.cc, __glpk__.cc, __voronoi__.cc,
audiodevinfo.cc, audioread.cc, chol.cc, convhulln.cc, dmperm.cc, qr.cc,
symbfact.cc, mkbuiltins, ov-base-diag.h, ov-base-int.cc, ov-base-mat.cc,
ov-base-mat.h, ov-base-scalar.cc, ov-base-sparse.cc, ov-base-sparse.h,
ov-base.cc, ov-bool-mat.cc, ov-bool.cc, ov-builtin.cc, ov-cell.cc, ov-colon.cc,
ov-complex.cc, ov-cs-list.h, ov-cx-mat.cc, ov-dld-fcn.cc, ov-fcn.cc, ov-fcn.h,
ov-float.cc, ov-flt-complex.cc, ov-flt-cx-mat.cc, ov-flt-re-mat.cc,
ov-int16.cc, ov-int32.cc, ov-int64.cc, ov-int8.cc, ov-java.h, ov-mex-fcn.cc,
ov-perm.h, ov-range.cc, ov-re-mat.cc, ov-scalar.cc, ov-str-mat.cc,
ov-uint16.cc, ov-uint32.cc, ov-uint64.cc, ov-uint8.cc, ov-usr-fcn.cc,
ov-usr-fcn.h, ov.cc, octave.cc, op-b-b.cc, op-b-bm.cc, op-b-sbm.cc, op-bm-b.cc,
op-bm-bm.cc, op-bm-sbm.cc, op-cdm-cdm.cc, op-cell.cc, op-chm.cc, op-class.cc,
op-cm-cm.cc, op-cm-cs.cc, op-cm-m.cc, op-cm-s.cc, op-cm-scm.cc, op-cm-sm.cc,
op-cs-cm.cc, op-cs-cs.cc, op-cs-m.cc, op-cs-s.cc, op-cs-scm.cc, op-cs-sm.cc,
op-dm-dm.cc, op-dm-scm.cc, op-dm-sm.cc, op-double-conv.cc, op-fcdm-fcdm.cc,
op-fcdm-fdm.cc, op-fcm-fcm.cc, op-fcm-fcs.cc, op-fcm-fm.cc, op-fcm-fs.cc,
op-fcn.cc, op-fcs-fcm.cc, op-fcs-fcs.cc, op-fcs-fm.cc, op-fcs-fs.cc,
op-fdm-fdm.cc, op-float-conv.cc, op-fm-fcm.cc, op-fm-fcs.cc, op-fm-fm.cc,
op-fm-fs.cc, op-fs-fcm.cc, op-fs-fcs.cc, op-fs-fm.cc, op-fs-fs.cc,
op-i16-i16.cc, op-i32-i32.cc, op-i64-i64.cc, op-i8-i8.cc, op-int-concat.cc,
op-int-conv.cc, op-m-cm.cc, op-m-cs.cc, op-m-m.cc, op-m-s.cc, op-m-scm.cc,
op-m-sm.cc, op-pm-pm.cc, op-pm-scm.cc, op-pm-sm.cc, op-range.cc, op-s-cm.cc,
op-s-cs.cc, op-s-m.cc, op-s-s.cc, op-s-scm.cc, op-s-sm.cc, op-sbm-b.cc,
op-sbm-bm.cc, op-sbm-sbm.cc, op-scm-cm.cc, op-scm-cs.cc, op-scm-m.cc,
op-scm-s.cc, op-scm-scm.cc, op-scm-sm.cc, op-sm-cm.cc, op-sm-cs.cc, op-sm-m.cc,
op-sm-s.cc, op-sm-scm.cc, op-sm-sm.cc, op-str-m.cc, op-str-s.cc, op-str-str.cc,
op-struct.cc, op-ui16-ui16.cc, op-ui32-ui32.cc, op-ui64-ui64.cc, op-ui8-ui8.cc,
parse.h, pt-arg-list.cc, pt-assign.cc, pt-binop.cc, pt-cbinop.cc, pt-cell.cc,
pt-colon.cc, pt-const.cc, pt-eval.h, pt-fcn-handle.cc, pt-funcall.h, pt-id.cc,
pt-idx.cc, pt-jump.cc, pt-mat.cc, pt-select.cc, pt-unop.cc, token.cc,
Array-sym.cc: replace '#include "oct-obj.h"' with '#include "ovl.h"'.
| author | Rik <rik@octave.org> |
|---|---|
| date | Fri, 18 Dec 2015 16:04:56 -0800 |
| parents | b17fda023ca6 |
| children | 6176560b03d9 |
| rev | line source |
|---|---|
| 2928 | 1 /* |
| 2 | |
|
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3 Copyright (C) 1996-2015 John W. Eaton |
| 2928 | 4 |
| 5 This file is part of Octave. | |
| 6 | |
| 7 Octave is free software; you can redistribute it and/or modify it | |
| 8 under the terms of the GNU General Public License as published by the | |
| 7016 | 9 Free Software Foundation; either version 3 of the License, or (at your |
| 10 option) any later version. | |
| 2928 | 11 |
| 12 Octave is distributed in the hope that it will be useful, but WITHOUT | |
| 13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
| 14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
| 15 for more details. | |
| 16 | |
| 17 You should have received a copy of the GNU General Public License | |
| 7016 | 18 along with Octave; see the file COPYING. If not, see |
| 19 <http://www.gnu.org/licenses/>. | |
| 2928 | 20 |
| 21 */ | |
| 22 | |
| 3911 | 23 // Author: A. S. Hodel <scotte@eng.auburn.edu> |
| 2928 | 24 |
| 25 #ifdef HAVE_CONFIG_H | |
| 26 #include <config.h> | |
| 27 #endif | |
| 28 | |
|
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29 #include "defun.h" |
| 2928 | 30 #include "error.h" |
| 31 #include "gripes.h" | |
|
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32 #include "ovl.h" |
| 2928 | 33 #include "utils.h" |
| 34 | |
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35 DEFUN (sylvester, args, , |
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36 "-*- texinfo -*-\n\ |
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37 @deftypefn {} {@var{X} =} syl (@var{A}, @var{B}, @var{C})\n\ |
| 3372 | 38 Solve the Sylvester equation\n\ |
| 39 @tex\n\ | |
| 40 $$\n\ | |
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41 A X + X B = C\n\ |
| 3372 | 42 $$\n\ |
| 43 @end tex\n\ | |
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44 @ifnottex\n\ |
| 3372 | 45 \n\ |
| 46 @example\n\ | |
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47 A X + X B = C\n\ |
| 3372 | 48 @end example\n\ |
| 10840 | 49 \n\ |
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50 @end ifnottex\n\ |
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51 using standard @sc{lapack} subroutines.\n\ |
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52 \n\ |
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53 For example:\n\ |
| 3372 | 54 \n\ |
| 55 @example\n\ | |
| 56 @group\n\ | |
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57 sylvester ([1, 2; 3, 4], [5, 6; 7, 8], [9, 10; 11, 12])\n\ |
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58 @result{} [ 0.50000, 0.66667; 0.66667, 0.50000 ]\n\ |
| 3372 | 59 @end group\n\ |
| 60 @end example\n\ | |
| 61 @end deftypefn") | |
| 2928 | 62 { |
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63 if (args.length () != 3) |
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64 print_usage (); |
| 2928 | 65 |
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66 octave_value retval; |
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67 |
| 2928 | 68 octave_value arg_a = args(0); |
| 69 octave_value arg_b = args(1); | |
| 70 octave_value arg_c = args(2); | |
| 71 | |
| 5275 | 72 octave_idx_type a_nr = arg_a.rows (); |
| 73 octave_idx_type a_nc = arg_a.columns (); | |
| 2928 | 74 |
| 5275 | 75 octave_idx_type b_nr = arg_b.rows (); |
| 76 octave_idx_type b_nc = arg_b.columns (); | |
| 2928 | 77 |
| 5275 | 78 octave_idx_type c_nr = arg_c.rows (); |
| 79 octave_idx_type c_nc = arg_c.columns (); | |
| 2928 | 80 |
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81 int arg_a_is_empty = empty_arg ("sylvester", a_nr, a_nc); |
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82 int arg_b_is_empty = empty_arg ("sylvester", b_nr, b_nc); |
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83 int arg_c_is_empty = empty_arg ("sylvester", c_nr, c_nc); |
| 2928 | 84 |
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85 bool isfloat = arg_a.is_single_type () |
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86 || arg_b.is_single_type () |
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87 || arg_c.is_single_type (); |
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88 |
| 2928 | 89 if (arg_a_is_empty > 0 && arg_b_is_empty > 0 && arg_c_is_empty > 0) |
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90 if (isfloat) |
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91 return ovl (FloatMatrix ()); |
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92 else |
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93 return ovl (Matrix ()); |
| 2928 | 94 else if (arg_a_is_empty || arg_b_is_empty || arg_c_is_empty) |
| 95 return retval; | |
| 96 | |
| 97 // Arguments are not empty, so check for correct dimensions. | |
| 98 | |
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99 if (a_nr != a_nc) |
| 2928 | 100 { |
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101 gripe_square_matrix_required ("sylvester: input A"); |
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102 return retval; |
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103 } |
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104 else if (b_nr != b_nc) |
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105 { |
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106 gripe_square_matrix_required ("sylvester: input B"); |
| 2928 | 107 return retval; |
| 108 } | |
| 109 else if (a_nr != c_nr || b_nr != c_nc) | |
| 110 { | |
| 111 gripe_nonconformant (); | |
| 112 return retval; | |
| 113 } | |
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114 |
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115 if (isfloat) |
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116 { |
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117 if (arg_a.is_complex_type () |
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118 || arg_b.is_complex_type () |
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119 || arg_c.is_complex_type ()) |
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120 { |
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121 // Do everything in complex arithmetic; |
| 2928 | 122 |
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123 FloatComplexMatrix ca = arg_a.float_complex_matrix_value (); |
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124 FloatComplexMatrix cb = arg_b.float_complex_matrix_value (); |
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125 FloatComplexMatrix cc = arg_c.float_complex_matrix_value (); |
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127 retval = Sylvester (ca, cb, cc); |
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128 } |
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129 else |
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130 { |
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131 // Do everything in real arithmetic. |
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132 |
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133 FloatMatrix ca = arg_a.float_matrix_value (); |
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134 FloatMatrix cb = arg_b.float_matrix_value (); |
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135 FloatMatrix cc = arg_c.float_matrix_value (); |
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136 |
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137 retval = Sylvester (ca, cb, cc); |
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138 } |
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139 } |
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140 else |
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141 { |
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142 if (arg_a.is_complex_type () |
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143 || arg_b.is_complex_type () |
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144 || arg_c.is_complex_type ()) |
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145 { |
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146 // Do everything in complex arithmetic; |
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148 ComplexMatrix ca = arg_a.complex_matrix_value (); |
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149 ComplexMatrix cb = arg_b.complex_matrix_value (); |
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150 ComplexMatrix cc = arg_c.complex_matrix_value (); |
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152 retval = Sylvester (ca, cb, cc); |
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153 } |
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154 else |
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155 { |
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156 // Do everything in real arithmetic. |
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157 |
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158 Matrix ca = arg_a.matrix_value (); |
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159 Matrix cb = arg_b.matrix_value (); |
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160 Matrix cc = arg_c.matrix_value (); |
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162 retval = Sylvester (ca, cb, cc); |
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163 } |
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164 } |
| 2928 | 165 |
| 166 return retval; | |
| 167 } | |
| 168 | |
| 169 /* | |
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170 %!assert (sylvester ([1, 2; 3, 4], [5, 6; 7, 8], [9, 10; 11, 12]), [1/2, 2/3; 2/3, 1/2], sqrt (eps)) |
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171 %!assert (sylvester (single ([1, 2; 3, 4]), single ([5, 6; 7, 8]), single ([9, 10; 11, 12])), single ([1/2, 2/3; 2/3, 1/2]), sqrt (eps ("single"))) |
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172 |
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173 %% Test input validation |
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174 %!error sylvester () |
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175 %!error sylvester (1) |
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176 %!error sylvester (1,2) |
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177 %!error sylvester (1, 2, 3, 4) |
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178 %!error <input A: .* must be a square matrix> sylvester (ones (2,3), ones (2,2), ones (2,2)) |
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179 %!error <input B: .* must be a square matrix> sylvester (ones (2,2), ones (2,3), ones (2,2)) |
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180 %!error <nonconformant matrices> sylvester (ones (2,2), ones (2,2), ones (3,3)) |
| 2928 | 181 */ |