Franck HOUSSEN
703fb580a4
Even with real matrices, eigen values can be complex if matrices are not symmetric. In this case, you need workev. ICB tests: should be OK as it turns out that they do NOT use real+not-sym methods (they use real+sym and complex+non-sym).
255 lines
11 KiB
C++
255 lines
11 KiB
C++
#ifndef __ARPACK_HPP__
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#define __ARPACK_HPP__
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#include <complex.h>
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#include <complex>
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namespace arpack {
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enum class which : int {
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/// 'LA' - compute the NEV largest (algebraic) eigenvalues
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largest_algebraic,
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/// 'SA' - compute the NEV smallest (algebraic) eigenvalues.
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smallest_algebraic,
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/// 'LM' - compute the NEV largest (in magnitude) eigenvalues.
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largest_magnitude,
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/// 'SM' - compute the NEV smallest (in magnitude) eigenvalues.
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smallest_magnitude,
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/// 'BE' - compute NEV eigenvalues, half from each end of the
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/// spectrum. When NEV is odd, compute one more from the
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/// high end than from the low end.
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both_ends
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};
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enum class bmat : int {
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/// B = 'I' -> standard eigenvalue problem A*x = lambda*x
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identity,
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/// B = 'G' -> generalized eigenvalue problem A*x = lambda*B*x
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generalized
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};
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enum class howmny : int {
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/// 'A' Compute NEV Ritz vectors
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ritz_vectors,
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/// 'P' Compute NEV Schur vectors;
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schur_vectors,
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/// 'S' compute some of the Ritz vectors, specified by the logical array
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/// SELECT.
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ritz_specified
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};
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namespace internal {
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#include "arpack.h"
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inline char const* convert_to_char(which const option) {
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switch (option) {
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case which::largest_algebraic: {
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return "LA";
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break;
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}
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case which::smallest_algebraic: {
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return "SA";
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break;
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}
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case which::largest_magnitude: {
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return "LM";
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break;
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}
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case which::smallest_magnitude: {
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return "SM";
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break;
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}
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case which::both_ends: {
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return "BE";
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break;
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}
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}
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return "LM";
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}
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inline char const* convert_to_char(bmat const option) {
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return option == bmat::identity ? "I" : "B";
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}
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inline char const* convert_to_char(howmny const option) {
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switch (option) {
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case howmny::ritz_vectors: {
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return "A";
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break;
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}
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case howmny::schur_vectors: {
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return "P";
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break;
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}
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case howmny::ritz_specified: {
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return "S";
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break;
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}
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}
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return "A";
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}
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} // namespace internal
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inline void saupd(int& ido, bmat const bmat_option, int n,
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which const ritz_option, int nev, float tol, float* resid,
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int ncv, float* v, int ldv, int* iparam, int* ipntr,
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float* workd, float* workl, int lworkl, int& info) {
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internal::ssaupd_c(&ido, internal::convert_to_char(bmat_option), n,
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internal::convert_to_char(ritz_option), nev, tol, resid,
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ncv, v, ldv, iparam, ipntr, workd, workl, lworkl, &info);
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}
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inline void seupd(bool rvec, howmny const howmny_option, int* select, float* d,
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float* z, int ldz, float sigma, bmat const bmat_option, int n,
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which const ritz_option, int nev, float tol, float* resid,
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int ncv, float* v, int ldv, int* iparam, int* ipntr,
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float* workd, float* workl, int lworkl, int& info) {
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internal::sseupd_c(rvec, internal::convert_to_char(howmny_option), select, d,
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z, ldz, sigma, internal::convert_to_char(bmat_option), n,
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internal::convert_to_char(ritz_option), nev, tol, resid,
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ncv, v, ldv, iparam, ipntr, workd, workl, lworkl, &info);
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}
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inline void saupd(int& ido, bmat const bmat_option, int n,
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which const ritz_option, int nev, double tol, double* resid,
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int ncv, double* v, int ldv, int* iparam, int* ipntr,
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double* workd, double* workl, int lworkl, int& info) {
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internal::dsaupd_c(&ido, internal::convert_to_char(bmat_option), n,
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internal::convert_to_char(ritz_option), nev, tol, resid,
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ncv, v, ldv, iparam, ipntr, workd, workl, lworkl, &info);
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}
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inline void seupd(bool rvec, howmny const howmny_option, int* select, double* d,
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double* z, int ldz, double sigma, bmat const bmat_option,
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int n, which const ritz_option, int nev, double tol,
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double* resid, int ncv, double* v, int ldv, int* iparam,
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int* ipntr, double* workd, double* workl, int lworkl,
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int& info) {
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internal::dseupd_c(rvec, internal::convert_to_char(howmny_option), select, d,
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z, ldz, sigma, internal::convert_to_char(bmat_option), n,
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internal::convert_to_char(ritz_option), nev, tol, resid,
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ncv, v, ldv, iparam, ipntr, workd, workl, lworkl, &info);
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}
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inline void naupd(int& ido, bmat const bmat_option, int n,
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which const ritz_option, int nev, float tol, float* resid,
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int ncv, float* v, int ldv, int* iparam, int* ipntr,
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float* workd, float* workl, int lworkl, int& info) {
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internal::snaupd_c(&ido, internal::convert_to_char(bmat_option), n,
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internal::convert_to_char(ritz_option), nev, tol, resid,
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ncv, v, ldv, iparam, ipntr, workd, workl, lworkl, &info);
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}
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inline void neupd(bool rvec, howmny const howmny_option, int* select, float* dr,
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float* di, float* z, int ldz,
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float sigmar, float sigmai, float * workev,
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bmat const bmat_option, int n, which const ritz_option,
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int nev, float tol, float* resid, int ncv, float* v, int ldv,
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int* iparam, int* ipntr, float* workd, float* workl,
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int lworkl, int& info) {
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internal::sneupd_c(rvec, internal::convert_to_char(howmny_option), select, dr,
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di, z, ldz, sigmar, sigmai, workev,
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internal::convert_to_char(bmat_option), n,
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internal::convert_to_char(ritz_option), nev, tol, resid,
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ncv, v, ldv, iparam, ipntr, workd, workl, lworkl, &info);
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}
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inline void naupd(int& ido, bmat const bmat_option, int n,
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which const ritz_option, int nev, double tol, double* resid,
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int ncv, double* v, int ldv, int* iparam, int* ipntr,
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double* workd, double* workl, int lworkl, int& info) {
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internal::dnaupd_c(&ido, internal::convert_to_char(bmat_option), n,
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internal::convert_to_char(ritz_option), nev, tol, resid,
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ncv, v, ldv, iparam, ipntr, workd, workl, lworkl, &info);
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}
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inline void neupd(bool rvec, howmny const howmny_option, int* select,
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double* dr, double* di, double* z, int ldz,
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double sigmar, double sigmai, double * workev,
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bmat const bmat_option, int n,
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which const ritz_option, int nev, double tol, double* resid,
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int ncv, double* v, int ldv, int* iparam, int* ipntr,
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double* workd, double* workl, int lworkl, int& info) {
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internal::dneupd_c(rvec, internal::convert_to_char(howmny_option), select, dr,
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di, z, ldz, sigmar, sigmai, workev,
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internal::convert_to_char(bmat_option), n,
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internal::convert_to_char(ritz_option), nev, tol, resid,
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ncv, v, ldv, iparam, ipntr, workd, workl, lworkl, &info);
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}
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inline void naupd(int& ido, bmat const bmat_option, int n,
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which const ritz_option, int nev, float tol,
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std::complex<float>* resid, int ncv, std::complex<float>* v,
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int ldv, int* iparam, int* ipntr, std::complex<float>* workd,
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std::complex<float>* workl, int lworkl,
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float* rwork, int& info) {
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internal::cnaupd_c(&ido, internal::convert_to_char(bmat_option), n,
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internal::convert_to_char(ritz_option), nev, tol,
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reinterpret_cast<_Complex float*>(resid), ncv,
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reinterpret_cast<_Complex float*>(v), ldv, iparam, ipntr,
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reinterpret_cast<_Complex float*>(workd),
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reinterpret_cast<_Complex float*>(workl), lworkl,
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rwork, &info);
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}
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inline void neupd(bool rvec, howmny const howmny_option, int* select,
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std::complex<float>* d, std::complex<float>* z, int ldz,
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std::complex<float> sigma, std::complex<float>* workev,
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bmat const bmat_option, int n, which const ritz_option,
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int nev, float tol, std::complex<float>* resid, int ncv,
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std::complex<float>* v, int ldv, int* iparam, int* ipntr,
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std::complex<float>* workd, std::complex<float>* workl,
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int lworkl, float* rwork, int& info) {
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internal::cneupd_c(rvec, internal::convert_to_char(howmny_option), select,
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reinterpret_cast<_Complex float*>(d),
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reinterpret_cast<_Complex float*>(z), ldz,
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std::real(sigma) + std::imag(sigma) * I,
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reinterpret_cast<_Complex float*>(workev),
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internal::convert_to_char(bmat_option), n,
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internal::convert_to_char(ritz_option), nev, tol,
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reinterpret_cast<_Complex float*>(resid), ncv,
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reinterpret_cast<_Complex float*>(v), ldv, iparam, ipntr,
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reinterpret_cast<_Complex float*>(workd),
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reinterpret_cast<_Complex float*>(workl), lworkl,
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rwork, &info);
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}
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inline void naupd(int& ido, bmat const bmat_option, int n,
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which const ritz_option, int nev, double tol,
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std::complex<double>* resid, int ncv, std::complex<double>* v,
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int ldv, int* iparam, int* ipntr, std::complex<double>* workd,
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std::complex<double>* workl, int lworkl,
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double* rwork, int& info) {
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internal::znaupd_c(&ido, internal::convert_to_char(bmat_option), n,
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internal::convert_to_char(ritz_option), nev, tol,
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reinterpret_cast<_Complex double*>(resid), ncv,
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reinterpret_cast<_Complex double*>(v), ldv, iparam, ipntr,
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reinterpret_cast<_Complex double*>(workd),
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reinterpret_cast<_Complex double*>(workl), lworkl,
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rwork, &info);
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}
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inline void neupd(bool rvec, howmny const howmny_option, int* select,
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std::complex<double>* d, std::complex<double>* z, int ldz,
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std::complex<double> sigma, std::complex<double>* workev,
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bmat const bmat_option, int n, which const ritz_option,
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int nev, double tol, std::complex<double>* resid, int ncv,
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std::complex<double>* v, int ldv, int* iparam, int* ipntr,
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std::complex<double>* workd, std::complex<double>* workl,
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int lworkl, double* rwork, int& info) {
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internal::zneupd_c(rvec, internal::convert_to_char(howmny_option), select,
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reinterpret_cast<_Complex double*>(d),
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reinterpret_cast<_Complex double*>(z), ldz,
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std::real(sigma) + _Complex_I * std::imag(sigma),
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reinterpret_cast<_Complex double*>(workev),
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internal::convert_to_char(bmat_option), n,
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internal::convert_to_char(ritz_option), nev, tol,
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reinterpret_cast<_Complex double*>(resid), ncv,
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reinterpret_cast<_Complex double*>(v), ldv, iparam, ipntr,
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reinterpret_cast<_Complex double*>(workd),
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reinterpret_cast<_Complex double*>(workl), lworkl,
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rwork, &info);
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}
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} // namespace arpack
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#endif
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