Mercurial > octave
view liboctave/numeric/fEIG.cc @ 23083:e9a0469dedd9 stable
maint: strip extra trailing newlines from files.
author | John W. Eaton <jwe@octave.org> |
---|---|
date | Fri, 20 Jan 2017 12:19:08 -0500 |
parents | 4caa7b28d183 |
children | ef4d915df748 3ac9f9ecfae5 |
line wrap: on
line source
/* Copyright (C) 1994-2016 John W. Eaton Copyright (C) 2016 Barbara Lócsi 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 "fEIG.h" #include "fColVector.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.is_symmetric ()) return symmetric_init (a, calc_rev, calc_lev); octave_idx_type n = a.rows (); if (n != a.cols ()) (*current_liboctave_error_handler) ("EIG requires square matrix"); octave_idx_type 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 octave_idx_type nvr = calc_rev ? n : 0; FloatMatrix vr (nvr, nvr); float *pvr = vr.fortran_vec (); volatile octave_idx_type nvl = calc_lev ? n : 0; FloatMatrix vl (nvl, nvl); float *pvl = vl.fortran_vec (); octave_idx_type lwork = -1; float dummy_work; octave_idx_type ilo; octave_idx_type 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 (); octave_idx_type 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<octave_idx_type> (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"); lambda.resize (n); v.resize (nvr, nvr); w.resize (nvl, nvl); for (octave_idx_type j = 0; j < n; j++) { if (wi.elem (j) == 0.0) { lambda.elem (j) = FloatComplex (wr.elem (j)); for (octave_idx_type i = 0; i < nvr; i++) v.elem (i, j) = vr.elem (i, j); for (octave_idx_type i = 0; i < nvl; i++) w.elem (i, j) = vl.elem (i, j); } else { if (j+1 >= n) (*current_liboctave_error_handler) ("EIG: internal error"); lambda.elem (j) = FloatComplex (wr.elem (j), wi.elem (j)); lambda.elem (j+1) = FloatComplex (wr.elem (j+1), wi.elem (j+1)); for (octave_idx_type i = 0; i < nvr; i++) { float real_part = vr.elem (i, j); float imag_part = vr.elem (i, j+1); v.elem (i, j) = FloatComplex (real_part, imag_part); v.elem (i, j+1) = FloatComplex (real_part, -imag_part); } for (octave_idx_type i = 0; i < nvl; i++) { float real_part = vl.elem (i, j); float imag_part = vl.elem (i, j+1); w.elem (i, j) = FloatComplex (real_part, imag_part); 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) { octave_idx_type n = a.rows (); if (n != a.cols ()) (*current_liboctave_error_handler) ("EIG requires square matrix"); octave_idx_type info = 0; FloatMatrix atmp = a; float *tmp_data = atmp.fortran_vec (); FloatColumnVector wr (n); float *pwr = wr.fortran_vec (); octave_idx_type 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<octave_idx_type> (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"); lambda = FloatComplexColumnVector (wr); v = calc_rev ? FloatComplexMatrix (atmp) : FloatComplexMatrix (); 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.is_hermitian ()) return hermitian_init (a, calc_rev, calc_lev); octave_idx_type n = a.rows (); if (n != a.cols ()) (*current_liboctave_error_handler) ("EIG requires square matrix"); octave_idx_type info = 0; FloatComplexMatrix atmp = a; FloatComplex *tmp_data = atmp.fortran_vec (); FloatComplexColumnVector wr (n); FloatComplex *pw = wr.fortran_vec (); octave_idx_type nvr = calc_rev ? n : 0; FloatComplexMatrix vrtmp (nvr, nvr); FloatComplex *pvr = vrtmp.fortran_vec (); octave_idx_type nvl = calc_lev ? n : 0; FloatComplexMatrix vltmp (nvl, nvl); FloatComplex *pvl = vltmp.fortran_vec (); octave_idx_type lwork = -1; FloatComplex dummy_work; octave_idx_type lrwork = 2*n; Array<float> rwork (dim_vector (lrwork, 1)); float *prwork = rwork.fortran_vec (); octave_idx_type ilo; octave_idx_type 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<octave_idx_type> (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"); lambda = wr; v = vrtmp; w = vltmp; return info; } octave_idx_type FloatEIG::hermitian_init (const FloatComplexMatrix& a, bool calc_rev, bool calc_lev) { octave_idx_type n = a.rows (); if (n != a.cols ()) (*current_liboctave_error_handler) ("EIG requires square matrix"); octave_idx_type info = 0; FloatComplexMatrix atmp = a; FloatComplex *tmp_data = atmp.fortran_vec (); FloatColumnVector wr (n); float *pwr = wr.fortran_vec (); octave_idx_type lwork = -1; FloatComplex dummy_work; octave_idx_type 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<octave_idx_type> (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"); lambda = FloatComplexColumnVector (wr); v = calc_rev ? FloatComplexMatrix (atmp) : FloatComplexMatrix (); 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"); octave_idx_type n = a.rows (); octave_idx_type nb = b.rows (); if (n != a.cols () || nb != b.cols ()) (*current_liboctave_error_handler) ("EIG requires square matrix"); if (n != nb) (*current_liboctave_error_handler) ("EIG requires same size matrices"); octave_idx_type 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.is_symmetric () && b.is_symmetric () && 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 octave_idx_type nvr = calc_rev ? n : 0; FloatMatrix vr (nvr, nvr); float *pvr = vr.fortran_vec (); volatile octave_idx_type nvl = calc_lev ? n : 0; FloatMatrix vl (nvl, nvl); float *pvl = vl.fortran_vec (); octave_idx_type 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<octave_idx_type> (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"); lambda.resize (n); v.resize (nvr, nvr); w.resize (nvl, nvl); for (octave_idx_type j = 0; j < n; j++) { if (ai.elem (j) == 0.0) { lambda.elem (j) = FloatComplex (ar.elem (j) / beta.elem (j)); for (octave_idx_type i = 0; i < nvr; i++) v.elem (i, j) = vr.elem (i, j); for (octave_idx_type i = 0; i < nvl; i++) w.elem (i, j) = vl.elem (i, j); } else { if (j+1 >= n) (*current_liboctave_error_handler) ("EIG: internal error"); lambda.elem (j) = FloatComplex (ar.elem (j) / beta.elem (j), ai.elem (j) / beta.elem (j)); lambda.elem (j+1) = FloatComplex (ar.elem (j+1) / beta.elem (j+1), ai.elem (j+1) / beta.elem (j+1)); for (octave_idx_type i = 0; i < nvr; i++) { float real_part = vr.elem (i, j); float imag_part = vr.elem (i, j+1); v.elem (i, j) = FloatComplex (real_part, imag_part); v.elem (i, j+1) = FloatComplex (real_part, -imag_part); } for (octave_idx_type i = 0; i < nvl; i++) { float real_part = vl.elem (i, j); float imag_part = vl.elem (i, j+1); w.elem (i, j) = FloatComplex (real_part, imag_part); 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) { octave_idx_type n = a.rows (); octave_idx_type nb = b.rows (); if (n != a.cols () || nb != b.cols ()) (*current_liboctave_error_handler) ("EIG requires square matrix"); if (n != nb) (*current_liboctave_error_handler) ("EIG requires same size matrices"); octave_idx_type 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 (); octave_idx_type 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<octave_idx_type> (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"); lambda = FloatComplexColumnVector (wr); v = calc_rev ? FloatComplexMatrix (atmp) : FloatComplexMatrix (); 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"); octave_idx_type n = a.rows (); octave_idx_type nb = b.rows (); if (n != a.cols () || nb != b.cols ()) (*current_liboctave_error_handler) ("EIG requires square matrix"); if (n != nb) (*current_liboctave_error_handler) ("EIG requires same size matrices"); octave_idx_type 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.is_hermitian () && b.is_hermitian () && 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 (); octave_idx_type nvr = calc_rev ? n : 0; FloatComplexMatrix vrtmp (nvr, nvr); FloatComplex *pvr = vrtmp.fortran_vec (); octave_idx_type nvl = calc_lev ? n : 0; FloatComplexMatrix vltmp (nvl, nvl); FloatComplex *pvl = vltmp.fortran_vec (); octave_idx_type lwork = -1; FloatComplex dummy_work; octave_idx_type 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<octave_idx_type> (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"); lambda.resize (n); for (octave_idx_type j = 0; j < n; j++) lambda.elem (j) = alpha.elem (j) / beta.elem (j); v = vrtmp; w = vltmp; return info; } octave_idx_type FloatEIG::hermitian_init (const FloatComplexMatrix& a, const FloatComplexMatrix& b, bool calc_rev, bool calc_lev) { octave_idx_type n = a.rows (); octave_idx_type nb = b.rows (); if (n != a.cols () || nb != b.cols ()) (*current_liboctave_error_handler) ("EIG requires square matrix"); if (n != nb) (*current_liboctave_error_handler) ("EIG requires same size matrices"); octave_idx_type 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 (); octave_idx_type lwork = -1; FloatComplex dummy_work; octave_idx_type 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<octave_idx_type> (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"); lambda = FloatComplexColumnVector (wr); v = calc_rev ? FloatComplexMatrix (atmp) : FloatComplexMatrix (); w = calc_lev ? FloatComplexMatrix (atmp) : FloatComplexMatrix (); return info; }