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// Copyright (c) 2017-2023, University of Tennessee. All rights reserved.
// SPDX-License-Identifier: BSD-3-Clause
// This program is free software: you can redistribute it and/or modify it under
// the terms of the BSD 3-Clause license. See the accompanying LICENSE file.
#include "test.hh"
#include "lapack.hh"
#include "print_matrix.hh"
#include "error.hh"
#include "lapacke_wrappers.hh"
#include <vector>
//------------------------------------------------------------------------------
template< typename scalar_t >
void test_tgsen_work( Params& params, bool run )
{
using real_t = blas::real_type< scalar_t >;
using complex_t = blas::complex_type< scalar_t >;
// Constants
const real_t eps = std::numeric_limits<real_t>::epsilon();
// get & mark input values
int64_t ijob = params.ijob();
lapack::Job jobvl = params.jobvl();
lapack::Job jobvr = params.jobvr();
bool wantq = jobvl == lapack::Job::Vec;
bool wantz = jobvr == lapack::Job::Vec;
int64_t n = params.dim.n();
int64_t align = params.align();
int64_t verbose = params.verbose();
// mark non-standard output values
params.ref_time();
if (! run)
return;
//---------- setup
int64_t lda = roundup( blas::max( 1, n ), align );
int64_t ldb = roundup( blas::max( 1, n ), align );
int64_t ldq = roundup( blas::max( 1, n ), align );
int64_t ldz = roundup( blas::max( 1, n ), align );
int64_t sdim_tst = -1;
lapack_int sdim_ref = -1;
real_t pl_tst = -1;
real_t pl_ref = -1;
real_t pr_tst = -1;
real_t pr_ref = -1;
size_t size_select = (size_t) n;
size_t size_alpha = (size_t) n;
size_t size_beta = (size_t) n;
size_t size_A = (size_t) lda * n;
size_t size_B = (size_t) ldb * n;
size_t size_Q = (size_t) ldq * n;
size_t size_Z = (size_t) ldz * n;
size_t size_dif = (size_t) 2;
std::vector< lapack_logical > select( size_select );
std::vector< scalar_t > A_tst( size_A );
std::vector< scalar_t > B_tst( size_B );
std::vector< complex_t > alpha_tst( size_alpha );
std::vector< scalar_t > beta_tst( size_beta );
std::vector< scalar_t > Q_tst( size_Q );
std::vector< scalar_t > Z_tst( size_Z );
std::vector< real_t > dif_tst( size_dif );
std::vector< real_t > dif_ref( size_dif );
int64_t idist = 1;
int64_t iseed[4] = { 0, 1, 2, 3 };
lapack::larnv( idist, iseed, A_tst.size(), &A_tst[0] );
lapack::larnv( idist, iseed, B_tst.size(), &B_tst[0] );
lapack::larnv( idist, iseed, Q_tst.size(), &Q_tst[0] );
lapack::larnv( idist, iseed, Z_tst.size(), &Z_tst[0] );
// Factor (A, B) matrices.
int64_t info_tst = lapack::gges(
jobvl, jobvr, lapack::Sort::NotSorted, nullptr, n,
&A_tst[0], lda, &B_tst[0], ldb,
&sdim_tst, &alpha_tst[0], &beta_tst[0],
&Q_tst[0], ldq, &Z_tst[0], ldz );
if (info_tst != 0) {
fprintf( stderr, "lapack::gges returned error %lld\n", llong( info_tst ) );
throw blas::Error();
}
std::vector< complex_t > alpha_ref = alpha_tst;
std::vector< scalar_t > beta_ref = beta_tst;
std::vector< scalar_t > A_ref = A_tst;
std::vector< scalar_t > B_ref = B_tst;
std::vector< scalar_t > Q_ref = Q_tst;
std::vector< scalar_t > Z_ref = Z_tst;
// Randomly select ~ 5% of eigenvalues to reorder.
for (int i = 0; i < n; ++i ) {
select[ i ] = (rand() / double(RAND_MAX)) < 0.05;
}
//---------- run test
testsweeper::flush_cache( params.cache() );
double time = testsweeper::get_wtime();
info_tst = lapack::tgsen(
ijob, wantq, wantz, &select[0], n,
&A_tst[0], lda, &B_tst[0], ldb, &alpha_tst[0], &beta_tst[0],
&Q_tst[0], ldq, &Z_tst[0], ldz,
&sdim_tst, &pl_tst, &pr_tst, &dif_tst[0] );
time = testsweeper::get_wtime() - time;
if (info_tst != 0) {
fprintf( stderr, "lapack::tgsen returned error %lld\n", llong( info_tst ) );
}
params.time() = time;
if (params.ref() == 'y' || params.check() == 'y') {
//---------- run reference
testsweeper::flush_cache( params.cache() );
time = testsweeper::get_wtime();
int64_t info_ref = LAPACKE_tgsen(
ijob, wantq, wantz, &select[0], n,
&A_ref[0], lda, &B_ref[0], ldb, &alpha_ref[0], &beta_ref[0],
&Q_ref[0], ldq, &Z_ref[0], ldz,
&sdim_ref, &pl_ref, &pr_ref, &dif_ref[0] );
time = testsweeper::get_wtime() - time;
if (info_ref != 0) {
fprintf( stderr, "LAPACKE_tgsen returned error %lld\n", llong( info_ref ) );
}
params.ref_time() = time;
//---------- check error compared to reference
real_t info_error = (info_tst != 0 || info_ref != 0);
real_t A_error = abs_error( A_tst, A_ref );
real_t B_error = abs_error( B_tst, B_ref );
real_t Q_error = abs_error( Q_tst, Q_ref );
real_t Z_error = abs_error( Z_tst, Z_ref );
real_t alpha_error = abs_error( alpha_tst, alpha_ref );
real_t beta_error = abs_error( beta_tst, beta_ref );
real_t sdim_error = std::abs( sdim_tst - sdim_ref );
real_t pl_error = std::abs( pl_tst - pl_ref );
real_t pr_error = std::abs( pr_tst - pr_ref );
real_t dif_error = abs_error( dif_tst, dif_ref );
real_t error = info_error + A_error + B_error + Q_error + Z_error
+ alpha_error + beta_error + sdim_error
+ pl_error + pr_error + dif_error;
params.error() = error;
params.okay() = (error < eps); // expect lapackpp ~= lapacke
if (verbose && error != 0) {
printf( "error %.3g = info %.3g + A %.3g + B %.3g + Q %.3g + Z %.3g"
" + alpha %.3g + beta %.3g + sdim %.3g"
" + pl %.3g + pr %.3g + dif %.3g\n",
error, info_error, A_error, B_error, Q_error, Z_error,
alpha_error, beta_error, sdim_error,
pl_error, pr_error, dif_error );
}
}
}
//------------------------------------------------------------------------------
void test_tgsen( Params& params, bool run )
{
switch (params.datatype()) {
case testsweeper::DataType::Single:
test_tgsen_work< float >( params, run );
break;
case testsweeper::DataType::Double:
test_tgsen_work< double >( params, run );
break;
case testsweeper::DataType::SingleComplex:
test_tgsen_work< std::complex<float> >( params, run );
break;
case testsweeper::DataType::DoubleComplex:
test_tgsen_work< std::complex<double> >( params, run );
break;
default:
throw std::runtime_error( "unknown datatype" );
break;
}
}
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