Mercurial > octave
view liboctave/numeric/fEIG.cc @ 31248:8b75954a4670
delaunayn: adjust node ordering for positive outward normal vectors (bug #53397)
* delaunayn.m: Check sign of simplex volume, flip node order for negative
volumes to ensure positive (outward-pointing) normal vectors. Add BISTs to
check for positive volumes.
* etc/News.8.md: Append function improvement note to delaunayn change
paragraph under General Improvements.
author | Nicholas R. Jankowski <jankowski.nicholas@gmail.com> |
---|---|
date | Thu, 29 Sep 2022 23:09:05 -0400 |
parents | 796f54d4ddbf |
children | 597f3ee61a48 |
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//////////////////////////////////////////////////////////////////////// // // Copyright (C) 1994-2022 The Octave Project Developers // // See the file COPYRIGHT.md in the top-level directory of this // distribution or <https://octave.org/copyright/>. // // 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 // <https://www.gnu.org/licenses/>. // //////////////////////////////////////////////////////////////////////// #if defined (HAVE_CONFIG_H) # include "config.h" #endif #include "Array.h" #include "fEIG.h" #include "fColVector.h" #include "fMatrix.h" #include "lo-error.h" #include "lo-lapack-proto.h" octave_idx_type FloatEIG::init (const FloatMatrix& a, bool calc_rev, bool calc_lev, bool balance) { if (a.any_element_is_inf_or_nan ()) (*current_liboctave_error_handler) ("EIG: matrix contains Inf or NaN values"); if (a.issymmetric ()) return symmetric_init (a, calc_rev, calc_lev); F77_INT n = octave::to_f77_int (a.rows ()); F77_INT a_nc = octave::to_f77_int (a.cols ()); if (n != a_nc) (*current_liboctave_error_handler) ("EIG requires square matrix"); F77_INT info = 0; FloatMatrix atmp = a; float *tmp_data = atmp.fortran_vec (); Array<float> wr (dim_vector (n, 1)); float *pwr = wr.fortran_vec (); Array<float> wi (dim_vector (n, 1)); float *pwi = wi.fortran_vec (); volatile F77_INT nvr = (calc_rev ? n : 0); FloatMatrix vr (nvr, nvr); float *pvr = vr.fortran_vec (); volatile F77_INT nvl = (calc_lev ? n : 0); FloatMatrix vl (nvl, nvl); float *pvl = vl.fortran_vec (); F77_INT lwork = -1; float dummy_work; F77_INT ilo; F77_INT ihi; Array<float> scale (dim_vector (n, 1)); float *pscale = scale.fortran_vec (); float abnrm; Array<float> rconde (dim_vector (n, 1)); float *prconde = rconde.fortran_vec (); Array<float> rcondv (dim_vector (n, 1)); float *prcondv = rcondv.fortran_vec (); F77_INT dummy_iwork; F77_XFCN (sgeevx, SGEEVX, (F77_CONST_CHAR_ARG2 (balance ? "B" : "N", 1), F77_CONST_CHAR_ARG2 ("N", 1), F77_CONST_CHAR_ARG2 (calc_rev ? "V" : "N", 1), F77_CONST_CHAR_ARG2 ("N", 1), n, tmp_data, n, pwr, pwi, pvl, n, pvr, n, ilo, ihi, pscale, abnrm, prconde, prcondv, &dummy_work, lwork, &dummy_iwork, info F77_CHAR_ARG_LEN (1) F77_CHAR_ARG_LEN (1) F77_CHAR_ARG_LEN (1) F77_CHAR_ARG_LEN (1))); if (info != 0) (*current_liboctave_error_handler) ("sgeevx workspace query failed"); lwork = static_cast<F77_INT> (dummy_work); Array<float> work (dim_vector (lwork, 1)); float *pwork = work.fortran_vec (); F77_XFCN (sgeevx, SGEEVX, (F77_CONST_CHAR_ARG2 (balance ? "B" : "N", 1), F77_CONST_CHAR_ARG2 ("N", 1), F77_CONST_CHAR_ARG2 (calc_rev ? "V" : "N", 1), F77_CONST_CHAR_ARG2 ("N", 1), n, tmp_data, n, pwr, pwi, pvl, n, pvr, n, ilo, ihi, pscale, abnrm, prconde, prcondv, pwork, lwork, &dummy_iwork, info F77_CHAR_ARG_LEN (1) F77_CHAR_ARG_LEN (1) F77_CHAR_ARG_LEN (1) F77_CHAR_ARG_LEN (1))); if (info < 0) (*current_liboctave_error_handler) ("unrecoverable error in sgeevx"); if (info > 0) (*current_liboctave_error_handler) ("sgeevx failed to converge"); m_lambda.resize (n); m_v.resize (nvr, nvr); m_w.resize (nvl, nvl); for (F77_INT j = 0; j < n; j++) { if (wi.elem (j) == 0.0) { m_lambda.elem (j) = FloatComplex (wr.elem (j)); for (octave_idx_type i = 0; i < nvr; i++) m_v.elem (i, j) = vr.elem (i, j); for (F77_INT i = 0; i < nvl; i++) m_w.elem (i, j) = vl.elem (i, j); } else { if (j+1 >= n) (*current_liboctave_error_handler) ("EIG: internal error"); m_lambda.elem (j) = FloatComplex (wr.elem (j), wi.elem (j)); m_lambda.elem (j+1) = FloatComplex (wr.elem (j+1), wi.elem (j+1)); for (F77_INT i = 0; i < nvr; i++) { float real_part = vr.elem (i, j); float imag_part = vr.elem (i, j+1); m_v.elem (i, j) = FloatComplex (real_part, imag_part); m_v.elem (i, j+1) = FloatComplex (real_part, -imag_part); } for (F77_INT i = 0; i < nvl; i++) { float real_part = vl.elem (i, j); float imag_part = vl.elem (i, j+1); m_w.elem (i, j) = FloatComplex (real_part, imag_part); m_w.elem (i, j+1) = FloatComplex (real_part, -imag_part); } j++; } } return info; } octave_idx_type FloatEIG::symmetric_init (const FloatMatrix& a, bool calc_rev, bool calc_lev) { F77_INT n = octave::to_f77_int (a.rows ()); F77_INT a_nc = octave::to_f77_int (a.cols ()); if (n != a_nc) (*current_liboctave_error_handler) ("EIG requires square matrix"); F77_INT info = 0; FloatMatrix atmp = a; float *tmp_data = atmp.fortran_vec (); FloatColumnVector wr (n); float *pwr = wr.fortran_vec (); F77_INT lwork = -1; float dummy_work; F77_XFCN (ssyev, SSYEV, (F77_CONST_CHAR_ARG2 (calc_rev ? "V" : "N", 1), F77_CONST_CHAR_ARG2 ("U", 1), n, tmp_data, n, pwr, &dummy_work, lwork, info F77_CHAR_ARG_LEN (1) F77_CHAR_ARG_LEN (1))); if (info != 0) (*current_liboctave_error_handler) ("ssyev workspace query failed"); lwork = static_cast<F77_INT> (dummy_work); Array<float> work (dim_vector (lwork, 1)); float *pwork = work.fortran_vec (); F77_XFCN (ssyev, SSYEV, (F77_CONST_CHAR_ARG2 (calc_rev ? "V" : "N", 1), F77_CONST_CHAR_ARG2 ("U", 1), n, tmp_data, n, pwr, pwork, lwork, info F77_CHAR_ARG_LEN (1) F77_CHAR_ARG_LEN (1))); if (info < 0) (*current_liboctave_error_handler) ("unrecoverable error in ssyev"); if (info > 0) (*current_liboctave_error_handler) ("ssyev failed to converge"); m_lambda = FloatComplexColumnVector (wr); m_v = (calc_rev ? FloatComplexMatrix (atmp) : FloatComplexMatrix ()); m_w = (calc_lev ? FloatComplexMatrix (atmp) : FloatComplexMatrix ()); return info; } octave_idx_type FloatEIG::init (const FloatComplexMatrix& a, bool calc_rev, bool calc_lev, bool balance) { if (a.any_element_is_inf_or_nan ()) (*current_liboctave_error_handler) ("EIG: matrix contains Inf or NaN values"); if (a.ishermitian ()) return hermitian_init (a, calc_rev, calc_lev); F77_INT n = octave::to_f77_int (a.rows ()); F77_INT a_nc = octave::to_f77_int (a.cols ()); if (n != a_nc) (*current_liboctave_error_handler) ("EIG requires square matrix"); F77_INT info = 0; FloatComplexMatrix atmp = a; FloatComplex *tmp_data = atmp.fortran_vec (); FloatComplexColumnVector wr (n); FloatComplex *pw = wr.fortran_vec (); F77_INT nvr = (calc_rev ? n : 0); FloatComplexMatrix vrtmp (nvr, nvr); FloatComplex *pvr = vrtmp.fortran_vec (); F77_INT nvl = (calc_lev ? n : 0); FloatComplexMatrix vltmp (nvl, nvl); FloatComplex *pvl = vltmp.fortran_vec (); F77_INT lwork = -1; FloatComplex dummy_work; F77_INT lrwork = 2*n; Array<float> rwork (dim_vector (lrwork, 1)); float *prwork = rwork.fortran_vec (); F77_INT ilo; F77_INT ihi; Array<float> scale (dim_vector (n, 1)); float *pscale = scale.fortran_vec (); float abnrm; Array<float> rconde (dim_vector (n, 1)); float *prconde = rconde.fortran_vec (); Array<float> rcondv (dim_vector (n, 1)); float *prcondv = rcondv.fortran_vec (); F77_XFCN (cgeevx, CGEEVX, (F77_CONST_CHAR_ARG2 (balance ? "B" : "N", 1), F77_CONST_CHAR_ARG2 (calc_lev ? "V" : "N", 1), F77_CONST_CHAR_ARG2 (calc_rev ? "V" : "N", 1), F77_CONST_CHAR_ARG2 ("N", 1), n, F77_CMPLX_ARG (tmp_data), n, F77_CMPLX_ARG (pw), F77_CMPLX_ARG (pvl), n, F77_CMPLX_ARG (pvr), n, ilo, ihi, pscale, abnrm, prconde, prcondv, F77_CMPLX_ARG (&dummy_work), lwork, prwork, info F77_CHAR_ARG_LEN (1) F77_CHAR_ARG_LEN (1) F77_CHAR_ARG_LEN (1) F77_CHAR_ARG_LEN (1))); if (info != 0) (*current_liboctave_error_handler) ("cgeevx workspace query failed"); lwork = static_cast<F77_INT> (dummy_work.real ()); Array<FloatComplex> work (dim_vector (lwork, 1)); FloatComplex *pwork = work.fortran_vec (); F77_XFCN (cgeevx, CGEEVX, (F77_CONST_CHAR_ARG2 (balance ? "B" : "N", 1), F77_CONST_CHAR_ARG2 (calc_lev ? "V" : "N", 1), F77_CONST_CHAR_ARG2 (calc_rev ? "V" : "N", 1), F77_CONST_CHAR_ARG2 ("N", 1), n, F77_CMPLX_ARG (tmp_data), n, F77_CMPLX_ARG (pw), F77_CMPLX_ARG (pvl), n, F77_CMPLX_ARG (pvr), n, ilo, ihi, pscale, abnrm, prconde, prcondv, F77_CMPLX_ARG (pwork), lwork, prwork, info F77_CHAR_ARG_LEN (1) F77_CHAR_ARG_LEN (1) F77_CHAR_ARG_LEN (1) F77_CHAR_ARG_LEN (1))); if (info < 0) (*current_liboctave_error_handler) ("unrecoverable error in cgeevx"); if (info > 0) (*current_liboctave_error_handler) ("cgeevx failed to converge"); m_lambda = wr; m_v = vrtmp; m_w = vltmp; return info; } octave_idx_type FloatEIG::hermitian_init (const FloatComplexMatrix& a, bool calc_rev, bool calc_lev) { F77_INT n = octave::to_f77_int (a.rows ()); F77_INT a_nc = octave::to_f77_int (a.cols ()); if (n != a_nc) (*current_liboctave_error_handler) ("EIG requires square matrix"); F77_INT info = 0; FloatComplexMatrix atmp = a; FloatComplex *tmp_data = atmp.fortran_vec (); FloatColumnVector wr (n); float *pwr = wr.fortran_vec (); F77_INT lwork = -1; FloatComplex dummy_work; F77_INT lrwork = 3*n; Array<float> rwork (dim_vector (lrwork, 1)); float *prwork = rwork.fortran_vec (); F77_XFCN (cheev, CHEEV, (F77_CONST_CHAR_ARG2 (calc_rev ? "V" : "N", 1), F77_CONST_CHAR_ARG2 ("U", 1), n, F77_CMPLX_ARG (tmp_data), n, pwr, F77_CMPLX_ARG (&dummy_work), lwork, prwork, info F77_CHAR_ARG_LEN (1) F77_CHAR_ARG_LEN (1))); if (info != 0) (*current_liboctave_error_handler) ("cheev workspace query failed"); lwork = static_cast<F77_INT> (dummy_work.real ()); Array<FloatComplex> work (dim_vector (lwork, 1)); FloatComplex *pwork = work.fortran_vec (); F77_XFCN (cheev, CHEEV, (F77_CONST_CHAR_ARG2 (calc_rev ? "V" : "N", 1), F77_CONST_CHAR_ARG2 ("U", 1), n, F77_CMPLX_ARG (tmp_data), n, pwr, F77_CMPLX_ARG (pwork), lwork, prwork, info F77_CHAR_ARG_LEN (1) F77_CHAR_ARG_LEN (1))); if (info < 0) (*current_liboctave_error_handler) ("unrecoverable error in cheev"); if (info > 0) (*current_liboctave_error_handler) ("cheev failed to converge"); m_lambda = FloatComplexColumnVector (wr); m_v = (calc_rev ? FloatComplexMatrix (atmp) : FloatComplexMatrix ()); m_w = (calc_lev ? FloatComplexMatrix (atmp) : FloatComplexMatrix ()); return info; } octave_idx_type FloatEIG::init (const FloatMatrix& a, const FloatMatrix& b, bool calc_rev, bool calc_lev, bool force_qz) { if (a.any_element_is_inf_or_nan () || b.any_element_is_inf_or_nan ()) (*current_liboctave_error_handler) ("EIG: matrix contains Inf or NaN values"); F77_INT n = octave::to_f77_int (a.rows ()); F77_INT nb = octave::to_f77_int (b.rows ()); F77_INT a_nc = octave::to_f77_int (a.cols ()); F77_INT b_nc = octave::to_f77_int (b.cols ()); if (n != a_nc || nb != b_nc) (*current_liboctave_error_handler) ("EIG requires square matrix"); if (n != nb) (*current_liboctave_error_handler) ("EIG requires same size matrices"); F77_INT info = 0; FloatMatrix tmp = b; float *tmp_data = tmp.fortran_vec (); if (! force_qz) { F77_XFCN (spotrf, SPOTRF, (F77_CONST_CHAR_ARG2 ("L", 1), n, tmp_data, n, info F77_CHAR_ARG_LEN (1))); if (a.issymmetric () && b.issymmetric () && info == 0) return symmetric_init (a, b, calc_rev, calc_lev); } FloatMatrix atmp = a; float *atmp_data = atmp.fortran_vec (); FloatMatrix btmp = b; float *btmp_data = btmp.fortran_vec (); Array<float> ar (dim_vector (n, 1)); float *par = ar.fortran_vec (); Array<float> ai (dim_vector (n, 1)); float *pai = ai.fortran_vec (); Array<float> beta (dim_vector (n, 1)); float *pbeta = beta.fortran_vec (); volatile F77_INT nvr = (calc_rev ? n : 0); FloatMatrix vr (nvr, nvr); float *pvr = vr.fortran_vec (); volatile F77_INT nvl = (calc_lev ? n : 0); FloatMatrix vl (nvl, nvl); float *pvl = vl.fortran_vec (); F77_INT lwork = -1; float dummy_work; F77_XFCN (sggev, SGGEV, (F77_CONST_CHAR_ARG2 (calc_lev ? "V" : "N", 1), F77_CONST_CHAR_ARG2 (calc_rev ? "V" : "N", 1), n, atmp_data, n, btmp_data, n, par, pai, pbeta, pvl, n, pvr, n, &dummy_work, lwork, info F77_CHAR_ARG_LEN (1) F77_CHAR_ARG_LEN (1))); if (info != 0) (*current_liboctave_error_handler) ("sggev workspace query failed"); lwork = static_cast<F77_INT> (dummy_work); Array<float> work (dim_vector (lwork, 1)); float *pwork = work.fortran_vec (); F77_XFCN (sggev, SGGEV, (F77_CONST_CHAR_ARG2 (calc_lev ? "V" : "N", 1), F77_CONST_CHAR_ARG2 (calc_rev ? "V" : "N", 1), n, atmp_data, n, btmp_data, n, par, pai, pbeta, pvl, n, pvr, n, pwork, lwork, info F77_CHAR_ARG_LEN (1) F77_CHAR_ARG_LEN (1))); if (info < 0) (*current_liboctave_error_handler) ("unrecoverable error in sggev"); if (info > 0) (*current_liboctave_error_handler) ("sggev failed to converge"); m_lambda.resize (n); m_v.resize (nvr, nvr); m_w.resize (nvl, nvl); for (F77_INT j = 0; j < n; j++) { if (ai.elem (j) == 0.0) { m_lambda.elem (j) = FloatComplex (ar.elem (j) / beta.elem (j)); for (F77_INT i = 0; i < nvr; i++) m_v.elem (i, j) = vr.elem (i, j); for (F77_INT i = 0; i < nvl; i++) m_w.elem (i, j) = vl.elem (i, j); } else { if (j+1 >= n) (*current_liboctave_error_handler) ("EIG: internal error"); m_lambda.elem (j) = FloatComplex (ar.elem (j) / beta.elem (j), ai.elem (j) / beta.elem (j)); m_lambda.elem (j+1) = FloatComplex (ar.elem (j+1) / beta.elem (j+1), ai.elem (j+1) / beta.elem (j+1)); for (F77_INT i = 0; i < nvr; i++) { float real_part = vr.elem (i, j); float imag_part = vr.elem (i, j+1); m_v.elem (i, j) = FloatComplex (real_part, imag_part); m_v.elem (i, j+1) = FloatComplex (real_part, -imag_part); } for (F77_INT i = 0; i < nvl; i++) { float real_part = vl.elem (i, j); float imag_part = vl.elem (i, j+1); m_w.elem (i, j) = FloatComplex (real_part, imag_part); m_w.elem (i, j+1) = FloatComplex (real_part, -imag_part); } j++; } } return info; } octave_idx_type FloatEIG::symmetric_init (const FloatMatrix& a, const FloatMatrix& b, bool calc_rev, bool calc_lev) { F77_INT n = octave::to_f77_int (a.rows ()); F77_INT nb = octave::to_f77_int (b.rows ()); F77_INT a_nc = octave::to_f77_int (a.cols ()); F77_INT b_nc = octave::to_f77_int (b.cols ()); if (n != a_nc || nb != b_nc) (*current_liboctave_error_handler) ("EIG requires square matrix"); if (n != nb) (*current_liboctave_error_handler) ("EIG requires same size matrices"); F77_INT info = 0; FloatMatrix atmp = a; float *atmp_data = atmp.fortran_vec (); FloatMatrix btmp = b; float *btmp_data = btmp.fortran_vec (); FloatColumnVector wr (n); float *pwr = wr.fortran_vec (); F77_INT lwork = -1; float dummy_work; F77_XFCN (ssygv, SSYGV, (1, F77_CONST_CHAR_ARG2 (calc_rev ? "V" : "N", 1), F77_CONST_CHAR_ARG2 ("U", 1), n, atmp_data, n, btmp_data, n, pwr, &dummy_work, lwork, info F77_CHAR_ARG_LEN (1) F77_CHAR_ARG_LEN (1))); if (info != 0) (*current_liboctave_error_handler) ("ssygv workspace query failed"); lwork = static_cast<F77_INT> (dummy_work); Array<float> work (dim_vector (lwork, 1)); float *pwork = work.fortran_vec (); F77_XFCN (ssygv, SSYGV, (1, F77_CONST_CHAR_ARG2 (calc_rev ? "V" : "N", 1), F77_CONST_CHAR_ARG2 ("U", 1), n, atmp_data, n, btmp_data, n, pwr, pwork, lwork, info F77_CHAR_ARG_LEN (1) F77_CHAR_ARG_LEN (1))); if (info < 0) (*current_liboctave_error_handler) ("unrecoverable error in ssygv"); if (info > 0) (*current_liboctave_error_handler) ("ssygv failed to converge"); m_lambda = FloatComplexColumnVector (wr); m_v = (calc_rev ? FloatComplexMatrix (atmp) : FloatComplexMatrix ()); m_w = (calc_lev ? FloatComplexMatrix (atmp) : FloatComplexMatrix ()); return info; } octave_idx_type FloatEIG::init (const FloatComplexMatrix& a, const FloatComplexMatrix& b, bool calc_rev, bool calc_lev, bool force_qz) { if (a.any_element_is_inf_or_nan () || b.any_element_is_inf_or_nan ()) (*current_liboctave_error_handler) ("EIG: matrix contains Inf or NaN values"); F77_INT n = octave::to_f77_int (a.rows ()); F77_INT nb = octave::to_f77_int (b.rows ()); F77_INT a_nc = octave::to_f77_int (a.cols ()); F77_INT b_nc = octave::to_f77_int (b.cols ()); if (n != a_nc || nb != b_nc) (*current_liboctave_error_handler) ("EIG requires square matrix"); if (n != nb) (*current_liboctave_error_handler) ("EIG requires same size matrices"); F77_INT info = 0; FloatComplexMatrix tmp = b; FloatComplex *tmp_data = tmp.fortran_vec (); if (! force_qz) { F77_XFCN (cpotrf, CPOTRF, (F77_CONST_CHAR_ARG2 ("L", 1), n, F77_CMPLX_ARG (tmp_data), n, info F77_CHAR_ARG_LEN (1))); if (a.ishermitian () && b.ishermitian () && info == 0) return hermitian_init (a, b, calc_rev, calc_lev); } FloatComplexMatrix atmp = a; FloatComplex *atmp_data = atmp.fortran_vec (); FloatComplexMatrix btmp = b; FloatComplex *btmp_data = btmp.fortran_vec (); FloatComplexColumnVector alpha (n); FloatComplex *palpha = alpha.fortran_vec (); FloatComplexColumnVector beta (n); FloatComplex *pbeta = beta.fortran_vec (); F77_INT nvr = (calc_rev ? n : 0); FloatComplexMatrix vrtmp (nvr, nvr); FloatComplex *pvr = vrtmp.fortran_vec (); F77_INT nvl = (calc_lev ? n : 0); FloatComplexMatrix vltmp (nvl, nvl); FloatComplex *pvl = vltmp.fortran_vec (); F77_INT lwork = -1; FloatComplex dummy_work; F77_INT lrwork = 8*n; Array<float> rwork (dim_vector (lrwork, 1)); float *prwork = rwork.fortran_vec (); F77_XFCN (cggev, CGGEV, (F77_CONST_CHAR_ARG2 (calc_lev ? "V" : "N", 1), F77_CONST_CHAR_ARG2 (calc_rev ? "V" : "N", 1), n, F77_CMPLX_ARG (atmp_data), n, F77_CMPLX_ARG (btmp_data), n, F77_CMPLX_ARG (palpha), F77_CMPLX_ARG (pbeta), F77_CMPLX_ARG (pvl), n, F77_CMPLX_ARG (pvr), n, F77_CMPLX_ARG (&dummy_work), lwork, prwork, info F77_CHAR_ARG_LEN (1) F77_CHAR_ARG_LEN (1))); if (info != 0) (*current_liboctave_error_handler) ("cggev workspace query failed"); lwork = static_cast<F77_INT> (dummy_work.real ()); Array<FloatComplex> work (dim_vector (lwork, 1)); FloatComplex *pwork = work.fortran_vec (); F77_XFCN (cggev, CGGEV, (F77_CONST_CHAR_ARG2 (calc_lev ? "V" : "N", 1), F77_CONST_CHAR_ARG2 (calc_rev ? "V" : "N", 1), n, F77_CMPLX_ARG (atmp_data), n, F77_CMPLX_ARG (btmp_data), n, F77_CMPLX_ARG (palpha), F77_CMPLX_ARG (pbeta), F77_CMPLX_ARG (pvl), n, F77_CMPLX_ARG (pvr), n, F77_CMPLX_ARG (pwork), lwork, prwork, info F77_CHAR_ARG_LEN (1) F77_CHAR_ARG_LEN (1))); if (info < 0) (*current_liboctave_error_handler) ("unrecoverable error in cggev"); if (info > 0) (*current_liboctave_error_handler) ("cggev failed to converge"); m_lambda.resize (n); for (F77_INT j = 0; j < n; j++) m_lambda.elem (j) = alpha.elem (j) / beta.elem (j); m_v = vrtmp; m_w = vltmp; return info; } octave_idx_type FloatEIG::hermitian_init (const FloatComplexMatrix& a, const FloatComplexMatrix& b, bool calc_rev, bool calc_lev) { F77_INT n = octave::to_f77_int (a.rows ()); F77_INT nb = octave::to_f77_int (b.rows ()); F77_INT a_nc = octave::to_f77_int (a.cols ()); F77_INT b_nc = octave::to_f77_int (b.cols ()); if (n != a_nc || nb != b_nc) (*current_liboctave_error_handler) ("EIG requires square matrix"); if (n != nb) (*current_liboctave_error_handler) ("EIG requires same size matrices"); F77_INT info = 0; FloatComplexMatrix atmp = a; FloatComplex *atmp_data = atmp.fortran_vec (); FloatComplexMatrix btmp = b; FloatComplex *btmp_data = btmp.fortran_vec (); FloatColumnVector wr (n); float *pwr = wr.fortran_vec (); F77_INT lwork = -1; FloatComplex dummy_work; F77_INT lrwork = 3*n; Array<float> rwork (dim_vector (lrwork, 1)); float *prwork = rwork.fortran_vec (); F77_XFCN (chegv, CHEGV, (1, F77_CONST_CHAR_ARG2 (calc_rev ? "V" : "N", 1), F77_CONST_CHAR_ARG2 ("U", 1), n, F77_CMPLX_ARG (atmp_data), n, F77_CMPLX_ARG (btmp_data), n, pwr, F77_CMPLX_ARG (&dummy_work), lwork, prwork, info F77_CHAR_ARG_LEN (1) F77_CHAR_ARG_LEN (1))); if (info != 0) (*current_liboctave_error_handler) ("zhegv workspace query failed"); lwork = static_cast<F77_INT> (dummy_work.real ()); Array<FloatComplex> work (dim_vector (lwork, 1)); FloatComplex *pwork = work.fortran_vec (); F77_XFCN (chegv, CHEGV, (1, F77_CONST_CHAR_ARG2 (calc_rev ? "V" : "N", 1), F77_CONST_CHAR_ARG2 ("U", 1), n, F77_CMPLX_ARG (atmp_data), n, F77_CMPLX_ARG (btmp_data), n, pwr, F77_CMPLX_ARG (pwork), lwork, prwork, info F77_CHAR_ARG_LEN (1) F77_CHAR_ARG_LEN (1))); if (info < 0) (*current_liboctave_error_handler) ("unrecoverable error in zhegv"); if (info > 0) (*current_liboctave_error_handler) ("zhegv failed to converge"); m_lambda = FloatComplexColumnVector (wr); m_v = (calc_rev ? FloatComplexMatrix (atmp) : FloatComplexMatrix ()); m_w = (calc_lev ? FloatComplexMatrix (atmp) : FloatComplexMatrix ()); return info; }