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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 "lapack/flops.hh"
#include "print_matrix.hh"
#include "error.hh"
#include "lapacke_wrappers.hh"
#include "check_svd.hh"
#include <vector>
// -----------------------------------------------------------------------------
template< typename scalar_t >
void test_gesdd_work( Params& params, bool run )
{
using real_t = blas::real_type< scalar_t >;
// get & mark input values
lapack::Job jobu = params.jobu();
int64_t m = params.dim.m();
int64_t n = params.dim.n();
int64_t align = params.align();
params.matrix.mark();
real_t eps = std::numeric_limits< real_t >::epsilon();
real_t tol = params.tol() * eps;
// mark non-standard output values
params.ref_time();
//params.ref_gflops();
//params.gflops();
params.ortho_U();
params.ortho_V();
params.error2();
params.error2.name( "Sigma" );
if (! run)
return;
// ---------- setup
int64_t ucol = (jobu == lapack::Job::AllVec ? m : blas::min( m, n ));
int64_t lda = roundup( blas::max( 1, m ), align );
int64_t ldu = roundup( m, align );
int64_t ldvt = roundup( (jobu == lapack::Job::AllVec ? n : blas::min( m, n )), align );
size_t size_A = (size_t) lda * n;
size_t size_S = (size_t) (blas::min(m,n));
size_t size_U = (size_t) ldu * ucol;
size_t size_VT = (size_t) ldvt * n;
std::vector< scalar_t > A_tst( size_A );
std::vector< scalar_t > A_ref( size_A );
std::vector< real_t > S_tst( size_S );
std::vector< real_t > S_ref( size_S );
std::vector< scalar_t > U_tst( size_U );
std::vector< scalar_t > U_ref( size_U );
std::vector< scalar_t > VT_tst( size_VT );
std::vector< scalar_t > VT_ref( size_VT );
lapack::generate_matrix( params.matrix, m, n, &A_tst[0], lda );
A_ref = A_tst;
// ---------- run test
testsweeper::flush_cache( params.cache() );
double time = testsweeper::get_wtime();
int64_t info_tst = lapack::gesdd( jobu, m, n, &A_tst[0], lda, &S_tst[0], &U_tst[0], ldu, &VT_tst[0], ldvt );
time = testsweeper::get_wtime() - time;
if (info_tst != 0) {
fprintf( stderr, "lapack::gesdd returned error %lld\n", llong( info_tst ) );
}
params.time() = time;
//double gflop = lapack::Gflop< scalar_t >::gesdd( jobu, m, n );
//params.gflops() = gflop / time;
// ---------- check numerical error
// errors[0] = || A - U diag(S) VT || / (||A|| max(m,n)),
// if jobu != NoVec
// errors[1] = || I - U^H U || / m, if jobu != NoVec
// errors[2] = || I - VT VT^H || / n, if jobu != NoVec
// errors[3] = 0 if S has non-negative values in non-increasing order, else 1
real_t errors[4] = { (real_t) testsweeper::no_data_flag,
(real_t) testsweeper::no_data_flag,
(real_t) testsweeper::no_data_flag,
(real_t) testsweeper::no_data_flag };
if (params.check() == 'y') {
// U2 or VT2 points to A if overwriting
scalar_t* U2 = &U_tst[0];
int64_t ldu2 = ldu;
scalar_t* VT2 = &VT_tst[0];
int64_t ldvt2 = ldvt;
if (jobu == lapack::Job::OverwriteVec) {
if (m >= n) {
U2 = &A_tst[0];
ldu2 = lda;
}
else {
VT2 = &A_tst[0];
ldvt2 = lda;
}
}
check_svd( jobu, jobu, m, n, &A_ref[0], lda,
&S_tst[0], U2, ldu2, VT2, ldvt2, errors );
}
if (params.ref() == 'y') {
// ---------- run reference
testsweeper::flush_cache( params.cache() );
time = testsweeper::get_wtime();
int64_t info_ref = LAPACKE_gesdd( to_char( jobu ), m, n, &A_ref[0], lda, &S_ref[0], &U_ref[0], ldu, &VT_ref[0], ldvt );
time = testsweeper::get_wtime() - time;
if (info_ref != 0) {
fprintf( stderr, "LAPACKE_gesdd returned error %lld\n", llong( info_ref ) );
}
params.ref_time() = time;
//params.ref_gflops() = gflop / time;
// ---------- check error compared to reference
if (info_tst != info_ref) {
errors[0] = 1;
}
errors[3] += rel_error( S_tst, S_ref );
}
params.error() = errors[0];
params.ortho_U() = errors[1];
params.ortho_V() = errors[2];
params.error2() = errors[3];
params.okay() = (
(jobu == lapack::Job::NoVec || errors[0] < tol) &&
(jobu == lapack::Job::NoVec || errors[1] < tol) &&
(jobu == lapack::Job::NoVec || errors[2] < tol) &&
errors[3] < tol);
}
// -----------------------------------------------------------------------------
void test_gesdd( Params& params, bool run )
{
switch (params.datatype()) {
case testsweeper::DataType::Single:
test_gesdd_work< float >( params, run );
break;
case testsweeper::DataType::Double:
test_gesdd_work< double >( params, run );
break;
case testsweeper::DataType::SingleComplex:
test_gesdd_work< std::complex<float> >( params, run );
break;
case testsweeper::DataType::DoubleComplex:
test_gesdd_work< std::complex<double> >( params, run );
break;
default:
throw std::runtime_error( "unknown datatype" );
break;
}
}
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