Mercurial > octave
view libinterp/corefcn/ordschur.cc @ 22135:407c66ae1e20
reduce warnings from GCC's link-time optimization feature (bug #48531)
* f77-fcn.h (F77_DBLE_CMPLX, F77_CMPLX): Use C types instead of
typedefs for std::complex<T> types.
(F77_CMPLX_ARG, F77_CONST_CMPLX_ARG, F77_DBLE_CMPLX_ARG,
F77_CONST_DBLE_CMPLX_ARG): New macros.
* dot.cc, ordschur.cc, qz.cc, CColVector.cc, CMatrix.cc,
CRowVector.cc, CSparse.cc, dSparse.cc, fCColVector.cc, fCMatrix.cc,
fCRowVector.cc, f77-fcn.h, EIG.cc, aepbalance.cc, chol.cc,
eigs-base.cc, fEIG.cc, gepbalance.cc, hess.cc, lo-specfun.cc, lu.cc,
oct-convn.cc, qr.cc, qrp.cc, schur.cc, svd.cc: Use new macros for
passing complex arguments to Fortran function. Always pass pointers
to complex arguments.
author | John W. Eaton <jwe@octave.org> |
---|---|
date | Mon, 18 Jul 2016 09:38:57 -0400 |
parents | 59cadee1c74b |
children | e43d83253e28 |
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/* Copyright (C) 2015 Sébastien Villemot <sebastien@debian.org> This file is part of Octave. Octave is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. Octave is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with Octave; see the file COPYING. If not, see <http://www.gnu.org/licenses/>. */ #if defined (HAVE_CONFIG_H) # include "config.h" #endif #include "defun.h" #include "error.h" #include "ovl.h" #include "f77-fcn.h" extern "C" { F77_RET_T F77_FUNC (dtrsen, DTRSEN) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, const F77_INT*, const F77_INT&, F77_DBLE*, const F77_INT&, F77_DBLE*, const F77_INT&, F77_DBLE*, F77_DBLE*, F77_INT&, F77_DBLE&, F77_DBLE&, F77_DBLE*, const F77_INT&, F77_INT*, const F77_INT&, F77_INT&); F77_RET_T F77_FUNC (ztrsen, ZTRSEN) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, const F77_INT*, const F77_INT&, F77_DBLE_CMPLX*, const F77_INT&, F77_DBLE_CMPLX*, const F77_INT&, F77_DBLE_CMPLX*, F77_INT&, F77_DBLE&, F77_DBLE&, F77_DBLE_CMPLX*, const F77_INT&, F77_INT &); F77_RET_T F77_FUNC (strsen, STRSEN) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, const F77_INT*, const F77_INT&, F77_REAL*, const F77_INT&, F77_REAL*, const F77_INT&, F77_REAL*, F77_REAL*, F77_INT&, F77_REAL&, F77_REAL&, F77_REAL*, const F77_INT&, F77_INT*, const F77_INT&, F77_INT&); F77_RET_T F77_FUNC (ctrsen, CTRSEN) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, const F77_INT*, const F77_INT&, F77_CMPLX*, const F77_INT&, F77_CMPLX*, const F77_INT&, F77_CMPLX*, F77_INT&, F77_REAL&, F77_REAL&, F77_CMPLX*, const F77_INT&, F77_INT &); } DEFUN (ordschur, args, , doc: /* -*- texinfo -*- @deftypefn {} {[@var{UR}, @var{SR}] =} ordschur (@var{U}, @var{S}, @var{select}) Reorders the real Schur factorization (@var{U},@var{S}) obtained with the @code{schur} function, so that selected eigenvalues appear in the upper left diagonal blocks of the quasi triangular Schur matrix. The logical vector @var{select} specifies the selected eigenvalues as they appear along @var{S}'s diagonal. For example, given the matrix @code{@var{A} = [1, 2; 3, 4]}, and its Schur decomposition @example [@var{U}, @var{S}] = schur (@var{A}) @end example @noindent which returns @example @group @var{U} = -0.82456 -0.56577 0.56577 -0.82456 @var{S} = -0.37228 -1.00000 0.00000 5.37228 @end group @end example It is possible to reorder the decomposition so that the positive eigenvalue is in the upper left corner, by doing: @example [@var{U}, @var{S}] = ordschur (@var{U}, @var{S}, [0,1]) @end example @seealso{schur} @end deftypefn */) { if (args.length () != 3) print_usage (); const Array<octave_idx_type> sel = args(2).octave_idx_type_vector_value ("ordschur: SELECT must be an array of integers"); const octave_idx_type n = sel.numel (); const dim_vector dimU = args(0).dims (); const dim_vector dimS = args(1).dims (); if (n != dimU(0)) error ("ordschur: SELECT must have same length as the sides of U and S"); else if (n != dimU(0) || n != dimS(0) || n != dimU(1) || n != dimS(1)) error ("ordschur: U and S must be square and of equal sizes"); octave_value_list retval; const bool double_type = args(0).is_double_type () || args(1).is_double_type (); const bool complex_type = args(0).is_complex_type () || args(1).is_complex_type (); #define PREPARE_ARGS(TYPE, TYPE_M, TYPE_COND) \ TYPE ## Matrix U = args(0).x ## TYPE_M ## _value ("ordschur: U and S must be real or complex floating point matrices"); \ TYPE ## Matrix S = args(1).x ## TYPE_M ## _value ("ordschur: U and S must be real or complex floating point matrices"); \ TYPE ## Matrix w (dim_vector (n, 1)); \ TYPE ## Matrix work (dim_vector (n, 1)); \ octave_idx_type m; \ octave_idx_type info; \ TYPE_COND cond1, cond2; #define PREPARE_OUTPUT()\ if (info != 0) \ error ("ordschur: trsen failed"); \ \ retval = ovl (U, S); if (double_type) { if (complex_type) { PREPARE_ARGS (Complex, complex_matrix, double) F77_XFCN (ztrsen, ztrsen, (F77_CONST_CHAR_ARG ("N"), F77_CONST_CHAR_ARG ("V"), sel.data (), n, F77_DBLE_CMPLX_ARG (S.fortran_vec ()), n, F77_DBLE_CMPLX_ARG (U.fortran_vec ()), n, F77_DBLE_CMPLX_ARG (w.fortran_vec ()), m, cond1, cond2, F77_DBLE_CMPLX_ARG (work.fortran_vec ()), n, info)); PREPARE_OUTPUT() } else { PREPARE_ARGS (, matrix, double) Matrix wi (dim_vector (n, 1)); Array<octave_idx_type> iwork (dim_vector (n, 1)); F77_XFCN (dtrsen, dtrsen, (F77_CONST_CHAR_ARG ("N"), F77_CONST_CHAR_ARG ("V"), sel.data (), n, S.fortran_vec (), n, U.fortran_vec (), n, w.fortran_vec (), wi.fortran_vec (), m, cond1, cond2, work.fortran_vec (), n, iwork.fortran_vec (), n, info)); PREPARE_OUTPUT () } } else { if (complex_type) { PREPARE_ARGS (FloatComplex, float_complex_matrix, float) F77_XFCN (ctrsen, ctrsen, (F77_CONST_CHAR_ARG ("N"), F77_CONST_CHAR_ARG ("V"), sel.data (), n, F77_CMPLX_ARG (S.fortran_vec ()), n, F77_CMPLX_ARG (U.fortran_vec ()), n, F77_CMPLX_ARG (w.fortran_vec ()), m, cond1, cond2, F77_CMPLX_ARG (work.fortran_vec ()), n, info)); PREPARE_OUTPUT () } else { PREPARE_ARGS (Float, float_matrix, float) FloatMatrix wi (dim_vector (n, 1)); Array<octave_idx_type> iwork (dim_vector (n, 1)); F77_XFCN (strsen, strsen, (F77_CONST_CHAR_ARG ("N"), F77_CONST_CHAR_ARG ("V"), sel.data (), n, S.fortran_vec (), n, U.fortran_vec (), n, w.fortran_vec (), wi.fortran_vec (), m, cond1, cond2, work.fortran_vec (), n, iwork.fortran_vec (), n, info)); PREPARE_OUTPUT () } } #undef PREPARE_ARGS #undef PREPARE_OUTPUT return retval; } /* %!test %! A = [1, 2, 3, -2; 4, 5, 6, -5 ; 7, 8, 9, -5; 10, 11, 12, 4 ]; %! [U, T] = schur (A); %! [US, TS] = ordschur (U, T, [ 0, 0, 1, 1 ]); %! assert (US*TS*US', A, sqrt (eps)); %! assert (diag (T)(3:4), diag (TS)(1:2), sqrt (eps)); %!test %! A = [1, 2, 3, -2; 4, 5, 6, -5 ; 7, 8, 9, -5; 10, 11, 12, 4 ]; %! [U, T] = schur (A); %! [US, TS] = ordschur (single (U), single (T), [ 0, 0, 1, 1 ]); %! assert (US*TS*US', A, sqrt (eps ("single"))); %! assert (diag (T)(3:4), diag (TS)(1:2), sqrt (eps ("single"))); %!test %! A = [1, 2, 3, -2; 4, 5, 6, -5 ; 7, 8, 9, -5; 10, 11, 12, 4+3i ]; %! [U, T] = schur (A); %! [US, TS] = ordschur (U, T, [ 0, 0, 1, 1 ]); %! assert (US*TS*US', A, sqrt (eps)); %! assert (diag (T)(3:4), diag (TS)(1:2), sqrt (eps)); %!test %! A = [1, 2, 3, -2; 4, 5, 6, -5 ; 7, 8, 9, -5; 10, 11, 12, 4+3i ]; %! [U, T] = schur (A); %! [US, TS] = ordschur (single (U), single (T), [ 0, 0, 1, 1 ]); %! assert (US*TS*US', A, sqrt (eps ("single"))); %! assert (diag (T)(3:4), diag (TS)(1:2), sqrt (eps ("single"))); */