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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 "blas_wrappers.hh"
#include "scale.hh"
#include <vector>
// -----------------------------------------------------------------------------
template< typename scalar_t >
void test_hpevd_work( Params& params, bool run )
{
using real_t = blas::real_type< scalar_t >;
// Constants
const scalar_t one = 1.0;
const real_t eps = std::numeric_limits< real_t >::epsilon();
// get & mark input values
lapack::Job jobz = params.jobz();
lapack::Uplo uplo = params.uplo();
int64_t n = params.dim.n();
int64_t align = params.align();
int64_t verbose = params.verbose();
real_t tol = params.tol() * eps;
// mark non-standard output values
params.ref_time();
// params.ref_gflops();
// params.gflops();
params.error2();
if (! run)
return;
// ---------- setup
int64_t ldz = (jobz == lapack::Job::Vec
? roundup( blas::max( 1, n ), align )
: 1 );
size_t size_A = (size_t) (n*(n+1)/2);
size_t size_Z = (size_t) ldz * n;
std::vector< scalar_t > Apack_tst( size_A );
std::vector< scalar_t > Apack_ref( size_A );
std::vector< scalar_t > Z( size_Z ); // eigenvectors
std::vector< real_t > Lambda_tst( n );
std::vector< real_t > Lambda_ref( n );
int64_t idist = 1;
int64_t iseed[4] = { 0, 1, 2, 3 };
lapack::larnv( idist, iseed, Apack_tst.size(), &Apack_tst[0] );
Apack_ref = Apack_tst;
// ---------- run test
testsweeper::flush_cache( params.cache() );
double time = testsweeper::get_wtime();
int64_t info_tst = lapack::hpevd(
jobz, uplo, n,
&Apack_tst[0], &Lambda_tst[0], &Z[0], ldz );
time = testsweeper::get_wtime() - time;
if (info_tst != 0) {
fprintf( stderr, "lapack::hpevd returned error %lld\n", llong( info_tst ) );
}
params.time() = time;
// double gflop = lapack::Gflop< scalar_t >::hpevd( jobz, n );
// params.gflops() = gflop / time;
if (verbose >= 2) {
printf( "Z = " ); print_matrix( n, n, &Z[0], ldz );
printf( "Lambda = " ); print_vector( n, &Lambda_tst[0], 1 );
}
if (params.check() == 'y' && jobz == lapack::Job::Vec) {
// ---------- check error
// Relative backwards error =
// ||A Z - Z Lambda|| / (n * ||A|| * ||Z||)
real_t Anorm = lapack::lanhp(
lapack::Norm::One, uplo, n, &Apack_ref[0] );
real_t Znorm = lapack::lange( lapack::Norm::One, n, n, &Z[0], ldz );
std::vector< scalar_t > W( size_Z ); // workspace
int64_t ldw = ldz;
// W = Z
lapack::lacpy( lapack::MatrixType::General, n, n,
&Z[0], ldz,
&W[0], ldw );
// W = Z Lambda
col_scale( n, n, &W[0], ldw, &Lambda_tst[0] );
// W = A Z - (Z Lambda)
blas::hpmm( uplo, n, n,
one, &Apack_ref[0],
&Z[0], ldz,
-one, &W[0], ldw );
real_t error = lapack::lange( lapack::Norm::One, n, n, &W[0], ldw );
if (verbose >= 2) {
printf( "W = " ); print_matrix( n, n, &W[0], ldw );
}
error /= (n * Anorm * Znorm);
params.error() = error;
params.okay() = (error < tol);
}
if (params.ref() == 'y' || params.check() == 'y') {
// ---------- run reference
testsweeper::flush_cache( params.cache() );
time = testsweeper::get_wtime();
int64_t info_ref = LAPACKE_hpevd(
to_char( jobz ), to_char( uplo ), n,
&Apack_ref[0], &Lambda_ref[0], &Z[0], ldz );
time = testsweeper::get_wtime() - time;
if (info_ref != 0) {
fprintf( stderr, "LAPACKE_hpevd returned error %lld\n", llong( info_ref ) );
}
params.ref_time() = time;
// params.ref_gflops() = gflop / time;
// ---------- check error compared to reference
real_t error = rel_error( Lambda_tst, Lambda_ref );
if (info_tst != info_ref) {
error = 1;
}
params.error2() = error;
params.okay() = params.okay() && (error < tol);
}
}
// -----------------------------------------------------------------------------
void test_hpevd( Params& params, bool run )
{
switch (params.datatype()) {
case testsweeper::DataType::Single:
test_hpevd_work< float >( params, run );
break;
case testsweeper::DataType::Double:
test_hpevd_work< double >( params, run );
break;
case testsweeper::DataType::SingleComplex:
test_hpevd_work< std::complex<float> >( params, run );
break;
case testsweeper::DataType::DoubleComplex:
test_hpevd_work< std::complex<double> >( params, run );
break;
default:
throw std::runtime_error( "unknown datatype" );
break;
}
}
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