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364 | // *****************************************************************************
/*!
\file tests/unit/LinearSolver/TestCSR.cpp
\copyright 2012-2015 J. Bakosi,
2016-2018 Los Alamos National Security, LLC.,
2019-2021 Triad National Security, LLC.,
2022-2024 J. Bakosi
All rights reserved. See the LICENSE file for details.
\brief Unit tests for LinearSolver/CSR
*/
// *****************************************************************************
#include "NoWarning/tut.hpp"
#include "TUTConfig.hpp"
#include "CSR.hpp"
#include "Reorder.hpp"
#include "DerivedData.hpp"
#include "Vector.hpp"
#ifndef DOXYGEN_GENERATING_OUTPUT
namespace tut {
#if defined(STRICT_GNUC)
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wsuggest-attribute=noreturn"
#endif
//! All tests in group inherited from this base
struct CSR_common {
// Mesh connectivity for simple tetrahedron-only mesh
std::vector< std::size_t > inpoel { 12, 14, 9, 11,<--- struct member 'CSR_common::inpoel' is never used.
10, 14, 13, 12,
14, 13, 12, 9,
10, 14, 12, 11,
1, 14, 5, 11,
7, 6, 10, 12,
14, 8, 5, 10,
8, 7, 10, 13,
7, 13, 3, 12,
1, 4, 14, 9,
13, 4, 3, 9,
3, 2, 12, 9,
4, 8, 14, 13,
6, 5, 10, 11,
1, 2, 9, 11,
2, 6, 12, 11,
6, 10, 12, 11,
2, 12, 9, 11,
5, 14, 10, 11,
14, 8, 10, 13,
13, 3, 12, 9,
7, 10, 13, 12,
14, 4, 13, 9,
14, 1, 9, 11 };
// Mesh node coordinates for simple tet mesh above
std::array< std::vector< tk::real >, 3 > coord {{<--- struct member 'CSR_common::coord' is never used.
{{ 0, 1, 1, 0, 0, 1, 1, 0, 0.5, 0.5, 0.5, 1, 0.5, 0 }},
{{ 0, 0, 1, 1, 0, 0, 1, 1, 0.5, 0.5, 0, 0.5, 1, 0.5 }},
{{ 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0.5, 0.5, 0.5, 0.5 }} }};
};
//! Test group shortcuts
using CSR_group =
test_group< CSR_common, MAX_TESTS_IN_GROUP >;
using CSR_object = CSR_group::object;
//! Define test group
static CSR_group CSR( "LinearSolver/CSR" );
//! Test definitions for group
//! Test if constructor does not throw on positive ncomp and non-empty psup
template<> template<>
void CSR_object::test< 1 >() {
set_test_name( "ctor doesn't throw on positive ncomp & valid psup" );
// Shift node IDs to start from zero
tk::shiftToZero( inpoel );
// Generate points surrounding points
auto psup = tk::genPsup( inpoel, 4, tk::genEsup(inpoel,4) );
tk::CSR c( 1, psup );
}
//! Test if constructor does not throw on positive size
template<> template<>
void CSR_object::test< 2 >() {
set_test_name( "ctor throws on zero ncomp" );
// Shift node IDs to start from zero
tk::shiftToZero( inpoel );
// Generate points surrounding points
auto psup = tk::genPsup( inpoel, 4, tk::genEsup(inpoel,4) );
// exception only thrown in DEBUG mode, but no problem in RELEASE, only
// exception is not thrown
try {
tk::CSR c( 0, psup );
} catch( tk::Exception& e ) {
// exception thrown, test ok
// if any other type of exception is thrown, test fails with except
// find out if exception was thrown due to the correct reason
ensure( std::string("wrong exception thrown: ") + e.what(),
std::string( e.what() ).find( "ncomp must be positive" ) !=
std::string::npos );
}
}
//! Test if constructor throws on empty psup
template<> template<>
void CSR_object::test< 3 >() {
set_test_name( "ctor throws on empty psup" );
// exception thrown in both DEBUG and RELEASE
try {
tk::CSR c( 1, {} );
} catch( tk::Exception& ) {
// exception thrown, test ok
}
}
//! Test write_stored()
template<> template<>
void CSR_object::test< 4 >() {
set_test_name("write_stored" );
// Shift node IDs to start from zero
tk::shiftToZero( inpoel );
// Generate points surrounding points
auto psup = tk::genPsup( inpoel, 4, tk::genEsup(inpoel,4) );
tk::CSR c( 1, psup );
std::stringstream ss;
c.write_stored( ss );
auto correct = R"(size (npoin) = 14
ncomp = 1
rsize (size*ncomp) = 14
nnz = 112
rnz[npoin=14] = { 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 10, 9, 10 }
ia[rsize+1=15] = { 1, 8, 15, 22, 29, 36, 43, 50, 57, 66, 75, 84, 94, 103, 113 }
ja[nnz=112] = { 1, 2, 4, 5, 9, 11, 14, 1, 2, 3, 6, 9, 11, 12, 2, 3, 4, 7, 9, 12, 13, 1, 3, 4, 8, 9, 13, 14, 1, 5, 6, 8, 10, 11, 14, 2, 5, 6, 7, 10, 11, 12, 3, 6, 7, 8, 10, 12, 13, 4, 5, 7, 8, 10, 13, 14, 1, 2, 3, 4, 9, 11, 12, 13, 14, 5, 6, 7, 8, 10, 11, 12, 13, 14, 1, 2, 5, 6, 9, 10, 11, 12, 14, 2, 3, 6, 7, 9, 10, 11, 12, 13, 14, 3, 4, 7, 8, 9, 10, 12, 13, 14, 1, 4, 5, 8, 9, 10, 11, 12, 13, 14 }
a[nnz=112] = { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
)";
ensure_equals( "CSR write_stored incorrect", ss.str(), correct );
}
//! Test write_structure()
template<> template<>
void CSR_object::test< 5 >() {
set_test_name("write_structure" );
// Shift node IDs to start from zero
tk::shiftToZero( inpoel );
// Generate points surrounding points
auto psup = tk::genPsup( inpoel, 4, tk::genEsup(inpoel,4) );
tk::CSR c( 1, psup );
std::stringstream ss;
c.write_structure( ss );
auto correct = R"(o o . o o . . . o . o . . o
o o o . . o . . o . o o . .
. o o o . . o . o . . o o .
o . o o . . . o o . . . o o
o . . . o o . o . o o . . o
. o . . o o o . . o o o . .
. . o . . o o o . o . o o .
. . . o o . o o . o . . o o
o o o o . . . . o . o o o o
. . . . o o o o . o o o o o
o o . . o o . . o o o o . o
. o o . . o o . o o o o o o
. . o o . . o o o o . o o o
o . . o o . . o o o o o o o
)";
ensure_equals( "CSR write_structure incorrect", ss.str(), correct );
}
//! Test write_matrix()
template<> template<>
void CSR_object::test< 6 >() {
set_test_name("write_matrix" );
// Shift node IDs to start from zero
tk::shiftToZero( inpoel );
// Generate points surrounding points
auto psup = tk::genPsup( inpoel, 4, tk::genEsup(inpoel,4) );
tk::CSR c( 1, psup );
// fill in some matrix entries
for (std::size_t e=0; e<inpoel.size()/4; ++e) {
auto A = inpoel[e*4+0];
auto B = inpoel[e*4+1];
auto C = inpoel[e*4+2];
auto D = inpoel[e*4+3];
c(A,A) += 1.0;
c(B,B) += 1.0;
c(C,C) += 1.0;
c(D,D) += 1.0;
}
std::stringstream ss;
c.write_matrix( ss );
auto s = ss.str();
// remove white space for easier comparison
s.erase(std::remove_if(s.begin(), s.end(), ::isspace), s.end());
auto correct = "4000000000000004000000000000004000000000000004000000000000004000000000000004000000000000004000000000000004000000000000001000000000000000100000000000000010000000000000001200000000000000100000000000000012";
ensure_equals( "CSR write_matrix incorrect", s, correct );
}
//! Test write_matlab()
template<> template<>
void CSR_object::test< 7 >() {
set_test_name("write_matlab" );
// Shift node IDs to start from zero
tk::shiftToZero( inpoel );
// Generate points surrounding points
auto psup = tk::genPsup( inpoel, 4, tk::genEsup(inpoel,4) );
tk::CSR c( 1, psup );
// fill in some matrix entries
for (std::size_t e=0; e<inpoel.size()/4; ++e) {
auto A = inpoel[e*4+0];
auto B = inpoel[e*4+1];
auto C = inpoel[e*4+2];
auto D = inpoel[e*4+3];
c(A,A) += 1.0;
c(B,B) += 1.0;
c(C,C) += 1.0;
c(D,D) += 1.0;
}
std::stringstream ss;
c.write_matlab( ss );
auto s = ss.str();<--- Variable 's' is assigned a value that is never used.
auto correct = R"(A = [ 4 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
0 4 0 0 0 0 0 0 0 0 0 0 0 0 ;
0 0 4 0 0 0 0 0 0 0 0 0 0 0 ;
0 0 0 4 0 0 0 0 0 0 0 0 0 0 ;
0 0 0 0 4 0 0 0 0 0 0 0 0 0 ;
0 0 0 0 0 4 0 0 0 0 0 0 0 0 ;
0 0 0 0 0 0 4 0 0 0 0 0 0 0 ;
0 0 0 0 0 0 0 4 0 0 0 0 0 0 ;
0 0 0 0 0 0 0 0 10 0 0 0 0 0 ;
0 0 0 0 0 0 0 0 0 10 0 0 0 0 ;
0 0 0 0 0 0 0 0 0 0 10 0 0 0 ;
0 0 0 0 0 0 0 0 0 0 0 12 0 0 ;
0 0 0 0 0 0 0 0 0 0 0 0 10 0 ;
0 0 0 0 0 0 0 0 0 0 0 0 0 12 ;
]
)";
ensure_equals( "CSR write_matlab incorrect", ss.str(), correct );
}
//! Test rsize
template<> template<>
void CSR_object::test< 8 >() {
set_test_name( "rsize" );
// Shift node IDs to start from zero
tk::shiftToZero( inpoel );
// Generate points surrounding points
auto psup = tk::genPsup( inpoel, 4, tk::genEsup(inpoel,4) );
tk::CSR c( 1, psup );
ensure_equals( "CSR::rsize (ncomp=1) incorrect", c.rsize(),
psup.second.size()-1 );
tk::CSR d( 3, psup );
ensure_equals( "CSR::rsize (ncomp=3) incorrect", d.rsize(),
(psup.second.size()-1)*3 );
}
//! Test matrix-vector multiply
template<> template<>
void CSR_object::test< 9 >() {
set_test_name( "matrix-vector multiply" );
// Shift node IDs to start from zero
tk::shiftToZero( inpoel );
// Generate points surrounding points
auto psup = tk::genPsup( inpoel, 4, tk::genEsup(inpoel,4) );
// Query number of nodes in mesh
auto npoin = psup.second.size()-1;
tk::CSR A( 1, psup );
const auto& X = coord[0];
const auto& Y = coord[1];
const auto& Z = coord[2];
// fill matrix with Laplacian
for (std::size_t e=0; e<inpoel.size()/4; ++e) {
// access node IDs
const std::array< std::size_t, 4 >
N{{ inpoel[e*4+0], inpoel[e*4+1], inpoel[e*4+2], inpoel[e*4+3] }};
// compute element Jacobi determinant
const std::array< tk::real, 3 >
ba{{ X[N[1]]-X[N[0]], Y[N[1]]-Y[N[0]], Z[N[1]]-Z[N[0]] }},
ca{{ X[N[2]]-X[N[0]], Y[N[2]]-Y[N[0]], Z[N[2]]-Z[N[0]] }},
da{{ X[N[3]]-X[N[0]], Y[N[3]]-Y[N[0]], Z[N[3]]-Z[N[0]] }};
const auto J = tk::triple( ba, ca, da ); // J = 6V
Assert( J > 0, "Element Jacobian non-positive" );
// shape function derivatives, nnode*ndim [4][3]
std::array< std::array< tk::real, 3 >, 4 > grad;
grad[1] = tk::crossdiv( ca, da, J );
grad[2] = tk::crossdiv( da, ba, J );
grad[3] = tk::crossdiv( ba, ca, J );
for (std::size_t i=0; i<3; ++i)
grad[0][i] = -grad[1][i]-grad[2][i]-grad[3][i];
for (std::size_t a=0; a<4; ++a)
for (std::size_t k=0; k<3; ++k)
for (std::size_t b=0; b<4; ++b)
A(N[a],N[b]) += J/6 * grad[a][k] * grad[b][k];
}
std::vector< tk::real > x( npoin );
std::iota( begin(x), end(x), 0.0 );
auto r = x;
A.mult( x, r );
std::vector< tk::real > correct{
-6.124999999999999, -5.25, -5.041666666666666, -5, -4.166666666666666,
-3.291666666666666, -3.083333333333333, -3.041666666666666,
2.916666666666672, 1.083333333333338, 5.500000000000007,
7.833333333333343,6.833333333333341,10.83333333333334 };
tk::real prec = std::numeric_limits< tk::real >::epsilon()*100;
for (std::size_t i=0; i<r.size(); ++i)
ensure_equals( "incorrect matrix-vector product",
r[i], correct[i], prec );
}
#if defined(STRICT_GNUC)
#pragma GCC diagnostic pop
#endif
} // tut::
#endif // DOXYGEN_GENERATING_OUTPUT
|