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-// Copyright (C) 2010 Davis E. King (davis@dlib.net)
-// License: Boost Software License See LICENSE.txt for the full license.
-#ifndef DLIB_LAPACk_GEEV_Hh_
-#define DLIB_LAPACk_GEEV_Hh_
-
-#include "fortran_id.h"
-#include "../matrix.h"
-
-namespace dlib
-{
- namespace lapack
- {
- namespace binding
- {
- extern "C"
- {
- void DLIB_FORTRAN_ID(dgeev) (char *jobvl, char *jobvr, integer *n, double * a,
- integer *lda, double *wr, double *wi, double *vl,
- integer *ldvl, double *vr, integer *ldvr, double *work,
- integer *lwork, integer *info);
-
- void DLIB_FORTRAN_ID(sgeev) (char *jobvl, char *jobvr, integer *n, float * a,
- integer *lda, float *wr, float *wi, float *vl,
- integer *ldvl, float *vr, integer *ldvr, float *work,
- integer *lwork, integer *info);
-
- }
-
- inline int geev (char jobvl, char jobvr, integer n, double *a,
- integer lda, double *wr, double *wi, double *vl,
- integer ldvl, double *vr, integer ldvr, double *work,
- integer lwork)
- {
- integer info = 0;
- DLIB_FORTRAN_ID(dgeev)(&jobvl, &jobvr, &n, a,
- &lda, wr, wi, vl,
- &ldvl, vr, &ldvr, work,
- &lwork, &info);
- return info;
- }
-
- inline int geev (char jobvl, char jobvr, integer n, float *a,
- integer lda, float *wr, float *wi, float *vl,
- integer ldvl, float *vr, integer ldvr, float *work,
- integer lwork)
- {
- integer info = 0;
- DLIB_FORTRAN_ID(sgeev)(&jobvl, &jobvr, &n, a,
- &lda, wr, wi, vl,
- &ldvl, vr, &ldvr, work,
- &lwork, &info);
- return info;
- }
-
-
- }
-
- // ------------------------------------------------------------------------------------
-
-/* -- LAPACK driver routine (version 3.1) -- */
-/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
-/* November 2006 */
-
-/* .. Scalar Arguments .. */
-/* .. */
-/* .. Array Arguments .. */
-/* .. */
-
-/* Purpose */
-/* ======= */
-
-/* DGEEV computes for an N-by-N real nonsymmetric matrix A, the */
-/* eigenvalues and, optionally, the left and/or right eigenvectors. */
-
-/* The right eigenvector v(j) of A satisfies */
-/* A * v(j) = lambda(j) * v(j) */
-/* where lambda(j) is its eigenvalue. */
-/* The left eigenvector u(j) of A satisfies */
-/* u(j)**H * A = lambda(j) * u(j)**H */
-/* where u(j)**H denotes the conjugate transpose of u(j). */
-
-/* The computed eigenvectors are normalized to have Euclidean norm */
-/* equal to 1 and largest component real. */
-
-/* Arguments */
-/* ========= */
-
-/* JOBVL (input) CHARACTER*1 */
-/* = 'N': left eigenvectors of A are not computed; */
-/* = 'V': left eigenvectors of A are computed. */
-
-/* JOBVR (input) CHARACTER*1 */
-/* = 'N': right eigenvectors of A are not computed; */
-/* = 'V': right eigenvectors of A are computed. */
-
-/* N (input) INTEGER */
-/* The order of the matrix A. N >= 0. */
-
-/* A (input/output) DOUBLE PRECISION array, dimension (LDA,N) */
-/* On entry, the N-by-N matrix A. */
-/* On exit, A has been overwritten. */
-
-/* LDA (input) INTEGER */
-/* The leading dimension of the array A. LDA >= max(1,N). */
-
-/* WR (output) DOUBLE PRECISION array, dimension (N) */
-/* WI (output) DOUBLE PRECISION array, dimension (N) */
-/* WR and WI contain the real and imaginary parts, */
-/* respectively, of the computed eigenvalues. Complex */
-/* conjugate pairs of eigenvalues appear consecutively */
-/* with the eigenvalue having the positive imaginary part */
-/* first. */
-
-/* VL (output) DOUBLE PRECISION array, dimension (LDVL,N) */
-/* If JOBVL = 'V', the left eigenvectors u(j) are stored one */
-/* after another in the columns of VL, in the same order */
-/* as their eigenvalues. */
-/* If JOBVL = 'N', VL is not referenced. */
-/* If the j-th eigenvalue is real, then u(j) = VL(:,j), */
-/* the j-th column of VL. */
-/* If the j-th and (j+1)-st eigenvalues form a complex */
-/* conjugate pair, then u(j) = VL(:,j) + i*VL(:,j+1) and */
-/* u(j+1) = VL(:,j) - i*VL(:,j+1). */
-
-/* LDVL (input) INTEGER */
-/* The leading dimension of the array VL. LDVL >= 1; if */
-/* JOBVL = 'V', LDVL >= N. */
-
-/* VR (output) DOUBLE PRECISION array, dimension (LDVR,N) */
-/* If JOBVR = 'V', the right eigenvectors v(j) are stored one */
-/* after another in the columns of VR, in the same order */
-/* as their eigenvalues. */
-/* If JOBVR = 'N', VR is not referenced. */
-/* If the j-th eigenvalue is real, then v(j) = VR(:,j), */
-/* the j-th column of VR. */
-/* If the j-th and (j+1)-st eigenvalues form a complex */
-/* conjugate pair, then v(j) = VR(:,j) + i*VR(:,j+1) and */
-/* v(j+1) = VR(:,j) - i*VR(:,j+1). */
-
-/* LDVR (input) INTEGER */
-/* The leading dimension of the array VR. LDVR >= 1; if */
-/* JOBVR = 'V', LDVR >= N. */
-
-/* WORK (workspace/output) DOUBLE PRECISION array, dimension (MAX(1,LWORK)) */
-/* On exit, if INFO = 0, WORK(1) returns the optimal LWORK. */
-
-/* LWORK (input) INTEGER */
-/* The dimension of the array WORK. LWORK >= max(1,3*N), and */
-/* if JOBVL = 'V' or JOBVR = 'V', LWORK >= 4*N. For good */
-/* performance, LWORK must generally be larger. */
-
-/* If LWORK = -1, then a workspace query is assumed; the routine */
-/* only calculates the optimal size of the WORK array, returns */
-/* this value as the first entry of the WORK array, and no error */
-/* message related to LWORK is issued by XERBLA. */
-
-/* INFO (output) INTEGER */
-/* = 0: successful exit */
-/* < 0: if INFO = -i, the i-th argument had an illegal value. */
-/* > 0: if INFO = i, the QR algorithm failed to compute all the */
-/* eigenvalues, and no eigenvectors have been computed; */
-/* elements i+1:N of WR and WI contain eigenvalues which */
-/* have converged. */
-
- // ------------------------------------------------------------------------------------
-
- template <
- typename T,
- long NR1, long NR2, long NR3, long NR4, long NR5,
- long NC1, long NC2, long NC3, long NC4, long NC5,
- typename MM,
- typename layout
- >
- int geev (
- const char jobvl,
- const char jobvr,
- matrix<T,NR1,NC1,MM,column_major_layout>& a,
- matrix<T,NR2,NC2,MM,layout>& wr,
- matrix<T,NR3,NC3,MM,layout>& wi,
- matrix<T,NR4,NC4,MM,column_major_layout>& vl,
- matrix<T,NR5,NC5,MM,column_major_layout>& vr
- )
- {
- matrix<T,0,1,MM,column_major_layout> work;
-
- const long n = a.nr();
-
- wr.set_size(n,1);
- wi.set_size(n,1);
-
- if (jobvl == 'V')
- vl.set_size(n,n);
- else
- vl.set_size(NR4?NR4:1, NC4?NC4:1);
-
- if (jobvr == 'V')
- vr.set_size(n,n);
- else
- vr.set_size(NR5?NR5:1, NC5?NC5:1);
-
-
- // figure out how big the workspace needs to be.
- T work_size = 1;
- int info = binding::geev(jobvl, jobvr, n, &a(0,0),
- a.nr(), &wr(0,0), &wi(0,0), &vl(0,0),
- vl.nr(), &vr(0,0), vr.nr(), &work_size,
- -1);
-
- if (info != 0)
- return info;
-
- if (work.size() < work_size)
- work.set_size(static_cast<long>(work_size), 1);
-
- // compute the actual decomposition
- info = binding::geev(jobvl, jobvr, n, &a(0,0),
- a.nr(), &wr(0,0), &wi(0,0), &vl(0,0),
- vl.nr(), &vr(0,0), vr.nr(), &work(0,0),
- work.size());
-
- return info;
- }
-
- // ------------------------------------------------------------------------------------
-
- }
-
-}
-
-// ----------------------------------------------------------------------------------------
-
-#endif // DLIB_LAPACk_GEEV_Hh_
-
-