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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_gesvd_work( Params& params, bool run )
{
using real_t = blas::real_type< scalar_t >;
using lapack::Job;
// get & mark input values
lapack::Job jobu = params.jobu();
lapack::Job jobvt = params.jobvt();
int64_t m = params.dim.m();
int64_t n = params.dim.n();
int64_t align = params.align();
int64_t verbose = params.verbose();
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" );
params.msg();
if (! run)
return;
// skip invalid options
if (jobu == Job::OverwriteVec && jobvt == Job::OverwriteVec) {
params.msg() = "skipping: jobu and jobvt cannot both be overwrite.";
return;
}
// ---------- setup
int64_t u_ncol = (jobu == Job::AllVec ? m : blas::min( m, n ));
int64_t lda = roundup( blas::max( 1, m ), align );
int64_t ldu = roundup( m, align );
int64_t v_nrow = (jobvt == Job::AllVec ? n : blas::min( m, n ));
int64_t ldvt = roundup( v_nrow, 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 * u_ncol;
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 > Sigma_tst( size_S );
std::vector< real_t > Sigma_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;
if (verbose >= 2) {
printf( "A = " ); print_matrix( m, n, &A_tst[0], lda );
}
// ---------- run test
testsweeper::flush_cache( params.cache() );
double time = testsweeper::get_wtime();
int64_t info_tst = lapack::gesvd(
jobu, jobvt, m, n,
&A_tst[0], lda,
&Sigma_tst[0],
&U_tst[0], ldu,
&VT_tst[0], ldvt );
time = testsweeper::get_wtime() - time;
if (info_tst != 0) {
fprintf( stderr, "lapack::gesvd returned error %lld\n", llong( info_tst ) );
}
if (verbose >= 2) {
printf( "A_out = " ); print_matrix( m, n, &A_tst[0], lda );
printf( "U = " ); print_matrix( m, u_ncol, &U_tst[0], ldu );
printf( "VT = " ); print_matrix( v_nrow, n, &VT_tst[0], ldvt );
printf( "Sigma = " ); print_vector( n, &Sigma_tst[0], 1 );
}
params.time() = time;
//double gflop = lapack::Gflop< scalar_t >::gesvd( jobu, jobvt, m, n );
//params.gflops() = gflop / time;
// ---------- check numerical error
// result[ 0 ] = || A - U Sigma VT || / (||A|| max( m, n )),
// if jobu != NoVec and jobvt != NoVec.
// result[ 1 ] = || I - U^H U || / m, if jobu != NoVec.
// result[ 2 ] = || I - VT VT^H || / n, if jobvt != NoVec.
// result[ 3 ] = 0 if Sigma has non-negative values in non-increasing order,
// else >= 1.
real_t result[ 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 == Job::OverwriteVec) {
U2 = &A_tst[0];
ldu2 = lda;
}
else if (jobvt == Job::OverwriteVec) {
VT2 = &A_tst[0];
ldvt2 = lda;
}
check_svd( jobu, jobvt, m, n, &A_ref[0], lda,
&Sigma_tst[0], U2, ldu2, VT2, ldvt2, result );
if (verbose >= 2) {
printf( "U2 = " ); print_matrix( m, u_ncol, U2, ldu2 );
printf( "VT2 = " ); print_matrix( v_nrow, n, VT2, ldvt2 );
}
}
if (params.ref() == 'y') {
// ---------- run reference
testsweeper::flush_cache( params.cache() );
time = testsweeper::get_wtime();
int64_t info_ref = LAPACKE_gesvd(
to_char( jobu ), to_char( jobvt ), m, n,
&A_ref[0], lda,
&Sigma_ref[0],
&U_ref[0], ldu,
&VT_ref[0], ldvt );
time = testsweeper::get_wtime() - time;
if (info_ref != 0) {
fprintf( stderr, "LAPACKE_gesvd 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) {
result[ 0 ] = 1;
}
result[ 3 ] += rel_error( Sigma_tst, Sigma_ref );
}
params.error() = result[ 0 ];
params.ortho_U() = result[ 1 ];
params.ortho_V() = result[ 2 ];
params.error2() = result[ 3 ];
params.okay() = (
(jobu == Job::NoVec || jobvt == Job::NoVec || result[ 0 ] < tol)
&& (jobu == Job::NoVec || result[ 1 ] < tol)
&& (jobvt == Job::NoVec || result[ 2 ] < tol)
&& result[ 3 ] < tol);
}
// -----------------------------------------------------------------------------
void test_gesvd( Params& params, bool run )
{
switch (params.datatype()) {
case testsweeper::DataType::Single:
test_gesvd_work< float >( params, run );
break;
case testsweeper::DataType::Double:
test_gesvd_work< double >( params, run );
break;
case testsweeper::DataType::SingleComplex:
test_gesvd_work< std::complex<float> >( params, run );
break;
case testsweeper::DataType::DoubleComplex:
test_gesvd_work< std::complex<double> >( params, run );
break;
default:
throw std::runtime_error( "unknown datatype" );
break;
}
}
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