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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 "check_heev.hh"
#include "lapacke_wrappers.hh"
#include <vector>
// -----------------------------------------------------------------------------
template< typename scalar_t >
void test_heevx_work( Params& params, bool run )
{
using real_t = blas::real_type< scalar_t >;
using lapack::Job;
// Constants
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;
params.matrix.mark();
real_t vl; // = params.vl();
real_t vu; // = params.vu();
int64_t il; // = params.il();
int64_t iu; // = params.iu();
lapack::Range range; // derived from vl,vu,il,iu
params.get_range( n, &range, &vl, &vu, &il, &iu );
// mark non-standard output values
params.ref_time();
// params.ref_gflops();
// params.gflops();
params.ortho();
params.error2();
params.error2.name( "Lambda" );
if (! run)
return;
// ---------- setup
int64_t lda = roundup( blas::max( 1, n ), align );
real_t abstol = 0; // default value
int64_t nfound;
lapack_int nfound_ref;
int64_t ldz = (jobz == lapack::Job::Vec
? roundup( blas::max( 1, n ), align )
: 1 );
size_t size_A = (size_t) lda * n;
size_t size_Z = (size_t) ldz * n;
std::vector< scalar_t > A_tst( size_A );
std::vector< scalar_t > A_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 );
std::vector< int64_t > ifail_tst( n );
std::vector< lapack_int > ifail_ref( n );
lapack::generate_matrix( params.matrix, n, n, &A_tst[0], lda );
A_ref = A_tst;
if (verbose >= 1) {
printf( "\n" );
printf( "A n=%5lld, lda=%5lld\n", llong( n ), llong( lda ) );
}
if (verbose >= 2) {
printf( "A = " );
print_matrix( n, n, &A_tst[0], lda );
}
// ---------- run test
testsweeper::flush_cache( params.cache() );
double time = testsweeper::get_wtime();
int64_t info_tst = lapack::heevx(
jobz, range, uplo, n,
&A_tst[0], lda,
vl, vu, il, iu, abstol, &nfound,
&Lambda_tst[0], &Z[0], ldz, &ifail_tst[0] );
time = testsweeper::get_wtime() - time;
if (info_tst != 0) {
fprintf( stderr, "lapack::heevx returned error %lld\n", llong( info_tst ) );
}
params.time() = time;
// double gflop = lapack::Gflop< scalar_t >::heevx( jobz, range, n );
// params.gflops() = gflop / time;
if (verbose >= 2) {
printf( "nfound = %lld\n", llong( nfound ) );
printf( "Lambda = " );
print_vector( n, &Lambda_tst[0], 1 );
if (jobz == lapack::Job::Vec) {
printf( "Z = " );
print_matrix( n, nfound, &Z[0], ldz );
}
}
if (params.check() == 'y') {
// ---------- check numerical error
// result[ 0 ] = || A - Z Lambda Z^H || / (n ||A||), if jobz != NoVec.
// result[ 1 ] = || I - Z^H Z || / n, if jobz != NoVec.
// result[ 2 ] = 0 if Lambda is in non-decreasing order, else > 0.
real_t result[ 3 ] = { (real_t) testsweeper::no_data_flag,
(real_t) testsweeper::no_data_flag,
(real_t) testsweeper::no_data_flag };
check_heev( jobz, uplo, n, &A_ref[0], lda,
nfound, &Lambda_tst[0], &Z[0], ldz, result );
params.error() = result[ 0 ];
params.ortho() = result[ 1 ];
params.error2() = result[ 2 ];
params.okay() = (jobz == Job::NoVec || result[ 0 ] < tol)
&& (jobz == Job::NoVec || result[ 1 ] < tol)
&& result[ 2 ] < tol;
}
if (params.ref() == 'y' || params.check() == 'y') {
// ---------- run reference
testsweeper::flush_cache( params.cache() );
time = testsweeper::get_wtime();
int64_t info_ref = LAPACKE_heevx(
to_char( jobz ), to_char( range ), to_char( uplo ), n,
&A_ref[0], lda,
vl, vu, il, iu, abstol, &nfound_ref,
&Lambda_ref[0], &Z[0], ldz, &ifail_ref[0] );
time = testsweeper::get_wtime() - time;
if (info_ref != 0) {
fprintf( stderr, "LAPACKE_heevx returned error %lld\n", llong( info_ref ) );
}
params.ref_time() = time;
// params.ref_gflops() = gflop / time;
if (verbose >= 2) {
printf( "Lambda_ref" );
print_vector( n, &Lambda_ref[0], 1 );
if (jobz == lapack::Job::Vec) {
printf( "Zref" );
print_matrix( n, nfound, &Z[0], ldz );
}
}
// ---------- check error compared to reference
real_t error = rel_error( Lambda_tst, Lambda_ref );
if (info_tst != info_ref) {
error = 1;
}
error += std::abs( nfound - nfound_ref );
if (jobz == lapack::Job::Vec) {
// Check first nfound elements of ifail
for (int64_t i = 0; i < nfound; ++i)
error += std::abs( ifail_tst[i] - ifail_ref[i] );
}
params.error2() = error;
params.okay() = params.okay() && (error < tol);
}
}
// -----------------------------------------------------------------------------
void test_heevx( Params& params, bool run )
{
switch (params.datatype()) {
case testsweeper::DataType::Single:
test_heevx_work< float >( params, run );
break;
case testsweeper::DataType::Double:
test_heevx_work< double >( params, run );
break;
case testsweeper::DataType::SingleComplex:
test_heevx_work< std::complex<float> >( params, run );
break;
case testsweeper::DataType::DoubleComplex:
test_heevx_work< std::complex<double> >( params, run );
break;
default:
throw std::runtime_error( "unknown datatype" );
break;
}
}
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