Mercurial > octave
view liboctave/numeric/EIG.cc @ 23219:3ac9f9ecfae5 stable
maint: Update copyright dates.
author | John W. Eaton <jwe@octave.org> |
---|---|
date | Wed, 22 Feb 2017 12:39:29 -0500 |
parents | e9a0469dedd9 |
children | 092078913d54 |
line wrap: on
line source
/* Copyright (C) 1994-2017 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 "EIG.h" #include "dColVector.h" #include "lo-error.h" #include "lo-lapack-proto.h" octave_idx_type EIG::init (const Matrix& 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; Matrix atmp = a; double *tmp_data = atmp.fortran_vec (); Array<double> wr (dim_vector (n, 1)); double *pwr = wr.fortran_vec (); Array<double> wi (dim_vector (n, 1)); double *pwi = wi.fortran_vec (); octave_idx_type tnvr = calc_rev ? n : 0; Matrix vr (tnvr, tnvr); double *pvr = vr.fortran_vec (); octave_idx_type tnvl = calc_lev ? n : 0; Matrix vl (tnvl, tnvl); double *pvl = vl.fortran_vec (); octave_idx_type lwork = -1; double dummy_work; octave_idx_type ilo; octave_idx_type ihi; Array<double> scale (dim_vector (n, 1)); double *pscale = scale.fortran_vec (); double abnrm; Array<double> rconde (dim_vector (n, 1)); double *prconde = rconde.fortran_vec (); Array<double> rcondv (dim_vector (n, 1)); double *prcondv = rcondv.fortran_vec (); octave_idx_type dummy_iwork; F77_XFCN (dgeevx, DGEEVX, (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, 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) ("dgeevx workspace query failed"); lwork = static_cast<octave_idx_type> (dummy_work); Array<double> work (dim_vector (lwork, 1)); double *pwork = work.fortran_vec (); F77_XFCN (dgeevx, DGEEVX, (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, 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 dgeevx"); if (info > 0) (*current_liboctave_error_handler) ("dgeevx failed to converge"); lambda.resize (n); octave_idx_type nvr = calc_rev ? n : 0; v.resize (nvr, nvr); octave_idx_type nvl = calc_lev ? n : 0; w.resize (nvl, nvl); for (octave_idx_type j = 0; j < n; j++) { if (wi.elem (j) == 0.0) { lambda.elem (j) = Complex (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) = Complex (wr.elem (j), wi.elem (j)); lambda.elem (j+1) = Complex (wr.elem (j+1), wi.elem (j+1)); for (octave_idx_type i = 0; i < nvr; i++) { double real_part = vr.elem (i, j); double imag_part = vr.elem (i, j+1); v.elem (i, j) = Complex (real_part, imag_part); v.elem (i, j+1) = Complex (real_part, -imag_part); } for (octave_idx_type i = 0; i < nvl; i++) { double real_part = vl.elem (i, j); double imag_part = vl.elem (i, j+1); w.elem (i, j) = Complex (real_part, imag_part); w.elem (i, j+1) = Complex (real_part, -imag_part); } j++; } } return info; } octave_idx_type EIG::symmetric_init (const Matrix& 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; Matrix atmp = a; double *tmp_data = atmp.fortran_vec (); ColumnVector wr (n); double *pwr = wr.fortran_vec (); octave_idx_type lwork = -1; double dummy_work; F77_XFCN (dsyev, DSYEV, (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) ("dsyev workspace query failed"); lwork = static_cast<octave_idx_type> (dummy_work); Array<double> work (dim_vector (lwork, 1)); double *pwork = work.fortran_vec (); F77_XFCN (dsyev, DSYEV, (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 dsyev"); if (info > 0) (*current_liboctave_error_handler) ("dsyev failed to converge"); lambda = ComplexColumnVector (wr); v = calc_rev ? ComplexMatrix (atmp) : ComplexMatrix (); w = calc_lev ? ComplexMatrix (atmp) : ComplexMatrix (); return info; } octave_idx_type EIG::init (const ComplexMatrix& 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; ComplexMatrix atmp = a; Complex *tmp_data = atmp.fortran_vec (); ComplexColumnVector wr (n); Complex *pw = wr.fortran_vec (); octave_idx_type nvr = calc_rev ? n : 0; ComplexMatrix vrtmp (nvr, nvr); Complex *pvr = vrtmp.fortran_vec (); octave_idx_type nvl = calc_lev ? n : 0; ComplexMatrix vltmp (nvl, nvl); Complex *pvl = vltmp.fortran_vec (); octave_idx_type lwork = -1; Complex dummy_work; octave_idx_type lrwork = 2*n; Array<double> rwork (dim_vector (lrwork, 1)); double *prwork = rwork.fortran_vec (); octave_idx_type ilo; octave_idx_type ihi; Array<double> scale (dim_vector (n, 1)); double *pscale = scale.fortran_vec (); double abnrm; Array<double> rconde (dim_vector (n, 1)); double *prconde = rconde.fortran_vec (); Array<double> rcondv (dim_vector (n, 1)); double *prcondv = rcondv.fortran_vec (); F77_XFCN (zgeevx, ZGEEVX, (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_DBLE_CMPLX_ARG (tmp_data), n, F77_DBLE_CMPLX_ARG (pw), F77_DBLE_CMPLX_ARG (pvl), n, F77_DBLE_CMPLX_ARG (pvr), n, ilo, ihi, pscale, abnrm, prconde, prcondv, F77_DBLE_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) ("zgeevx workspace query failed"); lwork = static_cast<octave_idx_type> (dummy_work.real ()); Array<Complex> work (dim_vector (lwork, 1)); Complex *pwork = work.fortran_vec (); F77_XFCN (zgeevx, ZGEEVX, (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_DBLE_CMPLX_ARG (tmp_data), n, F77_DBLE_CMPLX_ARG (pw), F77_DBLE_CMPLX_ARG (pvl), n, F77_DBLE_CMPLX_ARG (pvr), n, ilo, ihi, pscale, abnrm, prconde, prcondv, F77_DBLE_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 zgeevx"); if (info > 0) (*current_liboctave_error_handler) ("zgeevx failed to converge"); lambda = wr; v = vrtmp; w = vltmp; return info; } octave_idx_type EIG::hermitian_init (const ComplexMatrix& 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; ComplexMatrix atmp = a; Complex *tmp_data = atmp.fortran_vec (); ColumnVector wr (n); double *pwr = wr.fortran_vec (); octave_idx_type lwork = -1; Complex dummy_work; octave_idx_type lrwork = 3*n; Array<double> rwork (dim_vector (lrwork, 1)); double *prwork = rwork.fortran_vec (); F77_XFCN (zheev, ZHEEV, (F77_CONST_CHAR_ARG2 (calc_rev ? "V" : "N", 1), F77_CONST_CHAR_ARG2 ("U", 1), n, F77_DBLE_CMPLX_ARG (tmp_data), n, pwr, F77_DBLE_CMPLX_ARG (&dummy_work), lwork, prwork, info F77_CHAR_ARG_LEN (1) F77_CHAR_ARG_LEN (1))); if (info != 0) (*current_liboctave_error_handler) ("zheev workspace query failed"); lwork = static_cast<octave_idx_type> (dummy_work.real ()); Array<Complex> work (dim_vector (lwork, 1)); Complex *pwork = work.fortran_vec (); F77_XFCN (zheev, ZHEEV, (F77_CONST_CHAR_ARG2 (calc_rev ? "V" : "N", 1), F77_CONST_CHAR_ARG2 ("U", 1), n, F77_DBLE_CMPLX_ARG (tmp_data), n, pwr, F77_DBLE_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 zheev"); if (info > 0) (*current_liboctave_error_handler) ("zheev failed to converge"); lambda = ComplexColumnVector (wr); v = calc_rev ? ComplexMatrix (atmp) : ComplexMatrix (); w = calc_lev ? ComplexMatrix (atmp) : ComplexMatrix (); return info; } octave_idx_type EIG::init (const Matrix& a, const Matrix& 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; Matrix tmp = b; double *tmp_data = tmp.fortran_vec (); if (! force_qz) { F77_XFCN (dpotrf, DPOTRF, (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); } Matrix atmp = a; double *atmp_data = atmp.fortran_vec (); Matrix btmp = b; double *btmp_data = btmp.fortran_vec (); Array<double> ar (dim_vector (n, 1)); double *par = ar.fortran_vec (); Array<double> ai (dim_vector (n, 1)); double *pai = ai.fortran_vec (); Array<double> beta (dim_vector (n, 1)); double *pbeta = beta.fortran_vec (); octave_idx_type tnvr = calc_rev ? n : 0; Matrix vr (tnvr, tnvr); double *pvr = vr.fortran_vec (); octave_idx_type tnvl = calc_lev ? n : 0; Matrix vl (tnvl, tnvl); double *pvl = vl.fortran_vec (); octave_idx_type lwork = -1; double dummy_work; F77_XFCN (dggev, DGGEV, (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) ("dggev workspace query failed"); lwork = static_cast<octave_idx_type> (dummy_work); Array<double> work (dim_vector (lwork, 1)); double *pwork = work.fortran_vec (); F77_XFCN (dggev, DGGEV, (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 dggev"); if (info > 0) (*current_liboctave_error_handler) ("dggev failed to converge"); lambda.resize (n); octave_idx_type nvr = calc_rev ? n : 0; v.resize (nvr, nvr); octave_idx_type nvl = calc_lev ? n : 0; w.resize (nvl, nvl); for (octave_idx_type j = 0; j < n; j++) { if (ai.elem (j) == 0.0) { lambda.elem (j) = Complex (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) = Complex (ar.elem (j) / beta.elem (j), ai.elem (j) / beta.elem (j)); lambda.elem (j+1) = Complex (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++) { double real_part = vr.elem (i, j); double imag_part = vr.elem (i, j+1); v.elem (i, j) = Complex (real_part, imag_part); v.elem (i, j+1) = Complex (real_part, -imag_part); } for (octave_idx_type i = 0; i < nvl; i++) { double real_part = vl.elem (i, j); double imag_part = vl.elem (i, j+1); w.elem (i, j) = Complex (real_part, imag_part); w.elem (i, j+1) = Complex (real_part, -imag_part); } j++; } } return info; } octave_idx_type EIG::symmetric_init (const Matrix& a, const Matrix& 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; Matrix atmp = a; double *atmp_data = atmp.fortran_vec (); Matrix btmp = b; double *btmp_data = btmp.fortran_vec (); ColumnVector wr (n); double *pwr = wr.fortran_vec (); octave_idx_type lwork = -1; double dummy_work; F77_XFCN (dsygv, DSYGV, (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) ("dsygv workspace query failed"); lwork = static_cast<octave_idx_type> (dummy_work); Array<double> work (dim_vector (lwork, 1)); double *pwork = work.fortran_vec (); F77_XFCN (dsygv, DSYGV, (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 dsygv"); if (info > 0) (*current_liboctave_error_handler) ("dsygv failed to converge"); lambda = ComplexColumnVector (wr); v = calc_rev ? ComplexMatrix (atmp) : ComplexMatrix (); w = calc_lev ? ComplexMatrix (atmp) : ComplexMatrix (); return info; } octave_idx_type EIG::init (const ComplexMatrix& a, const ComplexMatrix& 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; ComplexMatrix tmp = b; Complex*tmp_data = tmp.fortran_vec (); if (! force_qz) { F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 ("L", 1), n, F77_DBLE_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); } ComplexMatrix atmp = a; Complex *atmp_data = atmp.fortran_vec (); ComplexMatrix btmp = b; Complex *btmp_data = btmp.fortran_vec (); ComplexColumnVector alpha (n); Complex *palpha = alpha.fortran_vec (); ComplexColumnVector beta (n); Complex *pbeta = beta.fortran_vec (); octave_idx_type nvr = calc_rev ? n : 0; ComplexMatrix vrtmp (nvr, nvr); Complex *pvr = vrtmp.fortran_vec (); octave_idx_type nvl = calc_lev ? n : 0; ComplexMatrix vltmp (nvl, nvl); Complex *pvl = vltmp.fortran_vec (); octave_idx_type lwork = -1; Complex dummy_work; octave_idx_type lrwork = 8*n; Array<double> rwork (dim_vector (lrwork, 1)); double *prwork = rwork.fortran_vec (); F77_XFCN (zggev, ZGGEV, (F77_CONST_CHAR_ARG2 ("N", 1), F77_CONST_CHAR_ARG2 (calc_rev ? "V" : "N", 1), n, F77_DBLE_CMPLX_ARG (atmp_data), n, F77_DBLE_CMPLX_ARG (btmp_data), n, F77_DBLE_CMPLX_ARG (palpha), F77_DBLE_CMPLX_ARG (pbeta), F77_DBLE_CMPLX_ARG (pvl), n, F77_DBLE_CMPLX_ARG (pvr), n, F77_DBLE_CMPLX_ARG (&dummy_work), lwork, prwork, info F77_CHAR_ARG_LEN (1) F77_CHAR_ARG_LEN (1))); if (info != 0) (*current_liboctave_error_handler) ("zggev workspace query failed"); lwork = static_cast<octave_idx_type> (dummy_work.real ()); Array<Complex> work (dim_vector (lwork, 1)); Complex *pwork = work.fortran_vec (); F77_XFCN (zggev, ZGGEV, (F77_CONST_CHAR_ARG2 ("N", 1), F77_CONST_CHAR_ARG2 (calc_rev ? "V" : "N", 1), n, F77_DBLE_CMPLX_ARG (atmp_data), n, F77_DBLE_CMPLX_ARG (btmp_data), n, F77_DBLE_CMPLX_ARG (palpha), F77_DBLE_CMPLX_ARG (pbeta), F77_DBLE_CMPLX_ARG (pvl), n, F77_DBLE_CMPLX_ARG (pvr), n, F77_DBLE_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 zggev"); if (info > 0) (*current_liboctave_error_handler) ("zggev 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 EIG::hermitian_init (const ComplexMatrix& a, const ComplexMatrix& 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; ComplexMatrix atmp = a; Complex *atmp_data = atmp.fortran_vec (); ComplexMatrix btmp = b; Complex *btmp_data = btmp.fortran_vec (); ColumnVector wr (n); double *pwr = wr.fortran_vec (); octave_idx_type lwork = -1; Complex dummy_work; octave_idx_type lrwork = 3*n; Array<double> rwork (dim_vector (lrwork, 1)); double *prwork = rwork.fortran_vec (); F77_XFCN (zhegv, ZHEGV, (1, F77_CONST_CHAR_ARG2 (calc_rev ? "V" : "N", 1), F77_CONST_CHAR_ARG2 ("U", 1), n, F77_DBLE_CMPLX_ARG (atmp_data), n, F77_DBLE_CMPLX_ARG (btmp_data), n, pwr, F77_DBLE_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<Complex> work (dim_vector (lwork, 1)); Complex *pwork = work.fortran_vec (); F77_XFCN (zhegv, ZHEGV, (1, F77_CONST_CHAR_ARG2 (calc_rev ? "V" : "N", 1), F77_CONST_CHAR_ARG2 ("U", 1), n, F77_DBLE_CMPLX_ARG (atmp_data), n, F77_DBLE_CMPLX_ARG (btmp_data), n, pwr, F77_DBLE_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 = ComplexColumnVector (wr); v = calc_rev ? ComplexMatrix (atmp) : ComplexMatrix (); w = calc_lev ? ComplexMatrix (atmp) : ComplexMatrix (); return info; }