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TestLattice.cpp
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#define BOOST_TEST_MODULE "C++ Unit Tests for metaLBM"
#include <boost/test/included/unit_test.hpp>
#include <boost/test/unit_test.hpp>
#include <boost/test/floating_point_comparison.hpp>
namespace tt = boost::test_tools;
#define NPROCS 1
#include "Lattice.h"
#include <math.h>
#include <iostream>
using namespace lbm;
BOOST_AUTO_TEST_SUITE(TestLattice)
BOOST_AUTO_TEST_CASE(TestIsotropyD1Q3) {
constexpr LatticeType latticeType = LatticeType::D1Q3;
typedef double valueType;
typedef Lattice<valueType, latticeType> L;
valueType sumWeight = 0.0;
valueType sumWeight_r = 1.0;
MathVector<valueType, L::dimD> sumWeightCelerity{{0.0}};
MathVector<valueType, L::dimD> sumWeightCelerity_r{{0.0}};
MathVector<valueType, L::dimD*L::dimD> sumWeight2Celerity{{0.0}};
MathVector<valueType, L::dimD*L::dimD> sumWeight2Celerity_r{{0.0}};
MathVector<valueType, L::dimD*L::dimD*L::dimD> sumWeight3Celerity{{0.0}};
MathVector<valueType, L::dimD*L::dimD*L::dimD> sumWeight3Celerity_r{{0.0}};
MathVector<valueType, L::dimD*L::dimD*L::dimD*L::dimD> sumWeight4Celerity{{0.0}};
MathVector<valueType, L::dimD*L::dimD*L::dimD*L::dimD> sumWeight4Celerity_r{{0.0}};
MathVector<valueType, L::dimD*L::dimD*L::dimD*L::dimD*L::dimD> sumWeight5Celerity{{0.0}};
MathVector<valueType, L::dimD*L::dimD*L::dimD*L::dimD*L::dimD> sumWeight5Celerity_r{{0.0}};
for(int iQ = 0; iQ < L::dimQ; ++iQ) {
sumWeight += L::weight()[iQ];
for(int d_a = 0; d_a < L::dimD; ++d_a) {
int idx_a = d_a;
sumWeightCelerity[idx_a] += L::weight()[iQ]*L::celerity()[iQ][d_a];
for(int d_b = 0; d_b < L::dimD; ++d_b) {
int idx_b = L::dimD * idx_a + d_b;
sumWeight2Celerity[idx_b] += L::weight()[iQ]*L::celerity()[iQ][d_a]*L::celerity()[iQ][d_b];
if(d_a == d_b) {
sumWeight2Celerity_r[idx_b] = L::cs2;
}
for(int d_c = 0; d_c < L::dimD; ++d_c) {
int idx_c = L::dimD * idx_b + d_c;
sumWeight3Celerity[idx_c] += L::weight()[iQ]*L::celerity()[iQ][d_a]
*L::celerity()[iQ][d_b]*L::celerity()[iQ][d_c];
for(int d_d = 0; d_d < L::dimD; ++d_d) {
int idx_d = L::dimD * idx_c + d_d;
sumWeight4Celerity[idx_d] += L::weight()[iQ]*L::celerity()[iQ][d_a]
*L::celerity()[iQ][d_b]*L::celerity()[iQ][d_c]*L::celerity()[iQ][d_d];
if((d_a == d_b && d_c == d_d)
&& (d_a == d_c && d_b == d_d)
&& (d_a == d_d && d_b == d_c)) {
sumWeight4Celerity_r[idx_d] = 3.0*L::cs2*L::cs2;
}
else if(((d_a == d_b && d_c == d_d) && (d_a == d_c && d_b == d_d))
|| ((d_a == d_b && d_c == d_d) && (d_a == d_d && d_b == d_d))
|| ((d_a == d_d && d_b == d_c) && (d_a == d_d && d_b == d_d))) {
sumWeight4Celerity_r[idx_d] = 2.0*L::cs2*L::cs2;
}
else if((d_a == d_b && d_c == d_d)
|| (d_a == d_c && d_b == d_d)
|| (d_a == d_d && d_b == d_c)) {
sumWeight4Celerity_r[idx_d] = 1.0*L::cs2*L::cs2;
}
for(int d_e = 0; d_e < L::dimD; ++d_e) {
int idx_e = L::dimD * idx_d + d_e;
sumWeight5Celerity[idx_e] += L::weight()[iQ]*L::celerity()[iQ][d_a]
*L::celerity()[iQ][d_b]*L::celerity()[iQ][d_c]*L::celerity()[iQ][d_d]
*L::celerity()[iQ][d_e];
}
}
}
}
}
}
BOOST_TEST(sumWeight == sumWeight_r, tt::tolerance(1e-15));
for(int i = 0; i < L::dimD; ++i) {
BOOST_TEST(sumWeightCelerity[i] == sumWeightCelerity_r[i], tt::tolerance(1e-15));
}
for(int i = 0; i < L::dimD*L::dimD; ++i) {
BOOST_TEST(sumWeight2Celerity[i] == sumWeight2Celerity_r[i], tt::tolerance(1e-15));
}
for(int i = 0; i < L::dimD*L::dimD*L::dimD; ++i) {
BOOST_TEST(sumWeight3Celerity[i] == sumWeight3Celerity_r[i], tt::tolerance(1e-15));
}
for(int i = 0; i < L::dimD*L::dimD*L::dimD*L::dimD; ++i) {
BOOST_TEST(sumWeight4Celerity[i] == sumWeight4Celerity_r[i], tt::tolerance(1e-15));
}
for(int i = 0; i < L::dimD*L::dimD*L::dimD*L::dimD*L::dimD; ++i) {
BOOST_TEST(sumWeight5Celerity[i] == sumWeight5Celerity_r[i], tt::tolerance(1e-15));
}
}
BOOST_AUTO_TEST_CASE(TestDoubleD1Q3) {
constexpr LatticeType latticeType = LatticeType::D1Q3;
typedef double valueType;
typedef Lattice<valueType, latticeType> L;
const auto dimD_ = L::dimD;
BOOST_CHECK_EQUAL(dimD_, 1);
const auto dimQ_ = L::dimQ;
BOOST_CHECK_EQUAL(dimQ_, 3);
const auto lX_g_ = L::lX_g;
BOOST_CHECK_EQUAL(lX_g_, lengthX_g);
const auto lY_g_ = L::lY_g;
BOOST_CHECK_EQUAL(lY_g_, 1);
const auto lZ_g_ = L::lZ_g;
BOOST_CHECK_EQUAL(lZ_g_, 1);
const auto hX_ = L::hX;
BOOST_CHECK_EQUAL(hX_, 1);
const auto hY_ = L::hY;
BOOST_CHECK_EQUAL(hY_, 0);
const auto hZ_ = L::hZ;
BOOST_CHECK_EQUAL(hZ_, 0);
const auto inv_cs2_ = L::inv_cs2;
BOOST_CHECK_EQUAL(inv_cs2_, 3.0);
const auto cs2_ = L::cs2;
BOOST_CHECK_EQUAL(cs2_, 1.0/3.0);
const auto w0_ = L::weight()[0];
BOOST_CHECK_EQUAL(w0_, 2.0/3.0);
const auto w1_ = L::weight()[1];
BOOST_CHECK_EQUAL(w1_, 1.0/6.0);
const auto w2_ = L::weight()[2];
BOOST_CHECK_EQUAL(w2_, 1.0/6.0);
const auto c_ = L::celerity();
const auto c_r = MathVector<MathVector<valueType, dimD_>, dimQ_>
{{
{{0.0}},
{{-1.0}},
{{1.0}}
}};
BOOST_CHECK_EQUAL(c_, c_r);
const auto c0_0_ = L::celerity()[0][0];
BOOST_CHECK_EQUAL(c0_0_, 0.0);
const auto c1_0_ = L::celerity()[1][0];
BOOST_CHECK_EQUAL(c1_0_, -1.0);
const auto c2_0_ = L::celerity()[2][0];
BOOST_CHECK_EQUAL(c2_0_, 1.0);
const auto c0_ = L::celerity()[0];
const auto c0_r = MathVector<valueType, dimD_>{{0.0}};
BOOST_CHECK_EQUAL(c0_, c0_r);
const auto c1_ = L::celerity()[1];
const auto c1_r = MathVector<valueType, dimD_>{{-1.0}};
BOOST_CHECK_EQUAL(c1_, c1_r);
const auto c2_ = L::celerity()[2];
const auto c2_r = MathVector<valueType, dimD_>{{1.0}};
BOOST_CHECK_EQUAL(c2_, c2_r);
}
BOOST_AUTO_TEST_CASE(TestFloatD1Q3) {
constexpr LatticeType latticeType = LatticeType::D1Q3;
typedef float valueType;
typedef Lattice<valueType, latticeType> L;
const auto dimD_ = L::dimD;
BOOST_CHECK_EQUAL(dimD_, 1);
const auto dimQ_ = L::dimQ;
BOOST_CHECK_EQUAL(dimQ_, 3);
const auto lX_g_ = L::lX_g;
BOOST_CHECK_EQUAL(lX_g_, lengthX_g);
const auto lY_g_ = L::lY_g;
BOOST_CHECK_EQUAL(lY_g_, 1);
const auto lZ_g_ = L::lZ_g;
BOOST_CHECK_EQUAL(lZ_g_, 1);
const auto hX_ = L::hX;
BOOST_CHECK_EQUAL(hX_, 1);
const auto hY_ = L::hY;
BOOST_CHECK_EQUAL(hY_, 0);
const auto hZ_ = L::hZ;
BOOST_CHECK_EQUAL(hZ_, 0);
const auto inv_cs2_ = L::inv_cs2;
BOOST_CHECK_EQUAL(inv_cs2_, 3.0f);
const auto cs2_ = L::cs2;
BOOST_CHECK_EQUAL(cs2_, 1.0f/3.0f);
const auto w0_ = L::weight()[0];
BOOST_CHECK_EQUAL(w0_, 2.0f/3.0f);
const auto w1_ = L::weight()[1];
BOOST_CHECK_EQUAL(w1_, 1.0f/6.0f);
const auto w2_ = L::weight()[2];
BOOST_CHECK_EQUAL(w2_, 1.0f/6.0f);
const auto c_ = L::celerity();
const auto c_r = MathVector<MathVector<valueType, dimD_>, dimQ_>
{{
{{0.0f}},
{{-1.0f}},
{{1.0f}}
}};
BOOST_CHECK_EQUAL(c_, c_r);
const auto c0_0_ = L::celerity()[0][0];
BOOST_CHECK_EQUAL(c0_0_, 0.0f);
const auto c1_0_ = L::celerity()[1][0];
BOOST_CHECK_EQUAL(c1_0_, -1.0f);
const auto c2_0_ = L::celerity()[2][0];
BOOST_CHECK_EQUAL(c2_0_, 1.0f);
const auto c0_ = L::celerity()[0];
const auto c0_r = MathVector<valueType, dimD_>{{0.0f}};
BOOST_CHECK_EQUAL(c0_, c0_r);
const auto c1_ = L::celerity()[1];
const auto c1_r = MathVector<valueType, dimD_>{{-1.0f}};
BOOST_CHECK_EQUAL(c1_, c1_r);
const auto c2_ = L::celerity()[2];
const auto c2_r = MathVector<valueType, dimD_>{{1.0f}};
BOOST_CHECK_EQUAL(c2_, c2_r);
}
BOOST_AUTO_TEST_CASE(TestIsotropyD2Q5) {
constexpr LatticeType latticeType = LatticeType::D2Q5;
typedef double valueType;
typedef Lattice<valueType, latticeType> L;
valueType sumWeight = 0.0;
valueType sumWeight_r = 1.0;
MathVector<valueType, L::dimD> sumWeightCelerity{{0.0}};
MathVector<valueType, L::dimD> sumWeightCelerity_r{{0.0}};
for(int iQ = 0; iQ < L::dimQ; ++iQ) {
sumWeight += L::weight()[iQ];
for(int d_a = 0; d_a < L::dimD; ++d_a) {
int idx_a = d_a;
sumWeightCelerity[idx_a] += L::weight()[iQ]*L::celerity()[iQ][d_a];
}
}
BOOST_TEST(sumWeight == sumWeight_r, tt::tolerance(1e-15));
for(int i = 0; i < L::dimD; ++i) {
BOOST_TEST(sumWeightCelerity[i] == sumWeightCelerity_r[i], tt::tolerance(1e-15));
}
}
BOOST_AUTO_TEST_CASE(TestDoubleD2Q5) {
constexpr LatticeType latticeType = LatticeType::D2Q5;
typedef double valueType;
typedef Lattice<valueType, latticeType> L;
const auto dimD_ = L::dimD;
BOOST_CHECK_EQUAL(dimD_, 2);
const auto dimQ_ = L::dimQ;
BOOST_CHECK_EQUAL(dimQ_, 5);
const auto lX_g_ = L::lX_g;
BOOST_CHECK_EQUAL(lX_g_, lengthX_g);
const auto lY_g_ = L::lY_g;
BOOST_CHECK_EQUAL(lY_g_, lengthY_g);
const auto lZ_g_ = L::lZ_g;
BOOST_CHECK_EQUAL(lZ_g_, 1);
const auto hX_ = L::hX;
BOOST_CHECK_EQUAL(hX_, 1);
const auto hY_ = L::hY;
BOOST_CHECK_EQUAL(hY_, 1);
const auto hZ_ = L::hZ;
BOOST_CHECK_EQUAL(hZ_, 0);
const auto inv_cs2_ = L::inv_cs2;
BOOST_CHECK_EQUAL(inv_cs2_, 3.0);
const auto cs2_ = L::cs2;
BOOST_CHECK_EQUAL(cs2_, (1.0/3.0));
const auto w0_ = L::weight()[0];
BOOST_CHECK_EQUAL(w0_, 4.0/6.0);
const auto w1_ = L::weight()[1];
BOOST_CHECK_EQUAL(w1_, 1.0/12.0);
const auto w2_ = L::weight()[2];
BOOST_CHECK_EQUAL(w2_, 1.0/12.0);
const auto w3_ = L::weight()[3];
BOOST_CHECK_EQUAL(w3_, 1.0/12.0);
const auto w4_ = L::weight()[4];
BOOST_CHECK_EQUAL(w4_, 1.0/12.0);
const auto c0_ = L::celerity()[0];
const auto c0_r = MathVector<valueType, dimD_>{{0.0, 0.0}};
BOOST_CHECK_EQUAL(c0_, c0_r);
const auto c1_ = L::celerity()[1];
const auto c1_r = MathVector<valueType, dimD_>{{-1.0, 0.0}};
BOOST_CHECK_EQUAL(c1_, c1_r);
const auto c2_ = L::celerity()[2];
const auto c2_r = MathVector<valueType, dimD_>{{0.0, -1.0}};
BOOST_CHECK_EQUAL(c2_, c2_r);
const auto c3_ = L::celerity()[3];
const auto c3_r = MathVector<valueType, dimD_>{{1.0, 0.0}};
BOOST_CHECK_EQUAL(c3_, c3_r);
const auto c4_ = L::celerity()[4];
const auto c4_r = MathVector<valueType, dimD_>{{0.0, 1.0}};
BOOST_CHECK_EQUAL(c4_, c4_r);
const auto c0_0_ = L::celerity()[0][0];
BOOST_CHECK_EQUAL(c0_0_, 0.0);
const auto c0_1_ = L::celerity()[0][1];
BOOST_CHECK_EQUAL(c0_1_, 0.0);
const auto c1_0_ = L::celerity()[1][0];
BOOST_CHECK_EQUAL(c1_0_, -1.0);
const auto c1_1_ = L::celerity()[1][1];
BOOST_CHECK_EQUAL(c1_1_, 0.0);
const auto c2_0_ = L::celerity()[2][0];
BOOST_CHECK_EQUAL(c2_0_, 0.0);
const auto c2_1_ = L::celerity()[2][1];
BOOST_CHECK_EQUAL(c2_1_, -1.0);
const auto c3_0_ = L::celerity()[3][0];
BOOST_CHECK_EQUAL(c3_0_, 1.0);
const auto c3_1_ = L::celerity()[3][1];
BOOST_CHECK_EQUAL(c3_1_, 0.0);
const auto c4_0_ = L::celerity()[4][0];
BOOST_CHECK_EQUAL(c4_0_, 0.0);
const auto c4_1_ = L::celerity()[4][1];
BOOST_CHECK_EQUAL(c4_1_, 1.0);
}
BOOST_AUTO_TEST_CASE(TestFloatD2Q5) {
constexpr LatticeType latticeType = LatticeType::D2Q5;
typedef float valueType;
typedef Lattice<valueType, latticeType> L;
const auto dimD_ = L::dimD;
BOOST_CHECK_EQUAL(dimD_, 2);
const auto dimQ_ = L::dimQ;
BOOST_CHECK_EQUAL(dimQ_, 5);
const auto lX_g_ = L::lX_g;
BOOST_CHECK_EQUAL(lX_g_, lengthX_g);
const auto lY_g_ = L::lY_g;
BOOST_CHECK_EQUAL(lY_g_, lengthY_g);
const auto lZ_g_ = L::lZ_g;
BOOST_CHECK_EQUAL(lZ_g_, 1);
const auto hX_ = L::hX;
BOOST_CHECK_EQUAL(hX_, 1);
const auto hY_ = L::hY;
BOOST_CHECK_EQUAL(hY_, 1);
const auto hZ_ = L::hZ;
BOOST_CHECK_EQUAL(hZ_, 0);
const auto inv_cs2_ = L::inv_cs2;
BOOST_CHECK_EQUAL(inv_cs2_, 3.0f);
const auto cs2_ = L::cs2;
BOOST_CHECK_EQUAL(cs2_, (1.0f/3.0f));
const auto w0_ = L::weight()[0];
BOOST_CHECK_EQUAL(w0_, 4.0f/6.0f);
const auto w1_ = L::weight()[1];
BOOST_CHECK_EQUAL(w1_, 1.0f/12.0f);
const auto w2_ = L::weight()[2];
BOOST_CHECK_EQUAL(w2_, 1.0f/12.0f);
const auto w3_ = L::weight()[3];
BOOST_CHECK_EQUAL(w3_, 1.0f/12.0f);
const auto w4_ = L::weight()[4];
BOOST_CHECK_EQUAL(w4_, 1.0f/12.0f);
const auto c0_ = L::celerity()[0];
const auto c0_r = MathVector<valueType, dimD_>{{0.0f, 0.0f}};
BOOST_CHECK_EQUAL(c0_, c0_r);
const auto c1_ = L::celerity()[1];
const auto c1_r = MathVector<valueType, dimD_>{{-1.0f, 0.0f}};
BOOST_CHECK_EQUAL(c1_, c1_r);
const auto c2_ = L::celerity()[2];
const auto c2_r = MathVector<valueType, dimD_>{{0.0f, -1.0f}};
BOOST_CHECK_EQUAL(c2_, c2_r);
const auto c3_ = L::celerity()[3];
const auto c3_r = MathVector<valueType, dimD_>{{1.0f, 0.0f}};
BOOST_CHECK_EQUAL(c3_, c3_r);
const auto c4_ = L::celerity()[4];
const auto c4_r = MathVector<valueType, dimD_>{{0.0f, 1.0f}};
BOOST_CHECK_EQUAL(c4_, c4_r);
const auto c0_0_ = L::celerity()[0][0];
BOOST_CHECK_EQUAL(c0_0_, 0.0f);
const auto c0_1_ = L::celerity()[0][1];
BOOST_CHECK_EQUAL(c0_1_, 0.0f);
const auto c1_0_ = L::celerity()[1][0];
BOOST_CHECK_EQUAL(c1_0_, -1.0f);
const auto c1_1_ = L::celerity()[1][1];
BOOST_CHECK_EQUAL(c1_1_, 0.0f);
const auto c2_0_ = L::celerity()[2][0];
BOOST_CHECK_EQUAL(c2_0_, 0.0f);
const auto c2_1_ = L::celerity()[2][1];
BOOST_CHECK_EQUAL(c2_1_, -1.0f);
const auto c3_0_ = L::celerity()[3][0];
BOOST_CHECK_EQUAL(c3_0_, 1.0f);
const auto c3_1_ = L::celerity()[3][1];
BOOST_CHECK_EQUAL(c3_1_, 0.0f);
const auto c4_0_ = L::celerity()[4][0];
BOOST_CHECK_EQUAL(c4_0_, 0.0f);
const auto c4_1_ = L::celerity()[4][1];
BOOST_CHECK_EQUAL(c4_1_, 1.0f);
}
BOOST_AUTO_TEST_CASE(TestIsotropyD2Q9) {
constexpr LatticeType latticeType = LatticeType::D2Q9;
typedef double valueType;
typedef Lattice<valueType, latticeType> L;
valueType sumWeight = 0.0;
valueType sumWeight_r = 1.0;
MathVector<valueType, L::dimD> sumWeightCelerity{{0.0}};
MathVector<valueType, L::dimD> sumWeightCelerity_r{{0.0}};
MathVector<valueType, L::dimD*L::dimD> sumWeight2Celerity{{0.0}};
MathVector<valueType, L::dimD*L::dimD> sumWeight2Celerity_r{{0.0}};
MathVector<valueType, L::dimD*L::dimD*L::dimD> sumWeight3Celerity{{0.0}};
MathVector<valueType, L::dimD*L::dimD*L::dimD> sumWeight3Celerity_r{{0.0}};
MathVector<valueType, L::dimD*L::dimD*L::dimD*L::dimD> sumWeight4Celerity{{0.0}};
MathVector<valueType, L::dimD*L::dimD*L::dimD*L::dimD> sumWeight4Celerity_r{{0.0}};
MathVector<valueType, L::dimD*L::dimD*L::dimD*L::dimD*L::dimD> sumWeight5Celerity{{0.0}};
MathVector<valueType, L::dimD*L::dimD*L::dimD*L::dimD*L::dimD> sumWeight5Celerity_r{{0.0}};
for(int iQ = 0; iQ < L::dimQ; ++iQ) {
sumWeight += L::weight()[iQ];
for(int d_a = 0; d_a < L::dimD; ++d_a) {
int idx_a = d_a;
sumWeightCelerity[idx_a] += L::weight()[iQ]*L::celerity()[iQ][d_a];
for(int d_b = 0; d_b < L::dimD; ++d_b) {
int idx_b = L::dimD * idx_a + d_b;
sumWeight2Celerity[idx_b] += L::weight()[iQ]*L::celerity()[iQ][d_a]*L::celerity()[iQ][d_b];
if(d_a == d_b) {
sumWeight2Celerity_r[idx_b] = L::cs2;
}
for(int d_c = 0; d_c < L::dimD; ++d_c) {
int idx_c = L::dimD * idx_b + d_c;
sumWeight3Celerity[idx_c] += L::weight()[iQ]*L::celerity()[iQ][d_a]
*L::celerity()[iQ][d_b]*L::celerity()[iQ][d_c];
for(int d_d = 0; d_d < L::dimD; ++d_d) {
int idx_d = L::dimD * idx_c + d_d;
sumWeight4Celerity[idx_d] += L::weight()[iQ]*L::celerity()[iQ][d_a]
*L::celerity()[iQ][d_b]*L::celerity()[iQ][d_c]*L::celerity()[iQ][d_d];
if((d_a == d_b && d_c == d_d)
&& (d_a == d_c && d_b == d_d)
&& (d_a == d_d && d_b == d_c)) {
sumWeight4Celerity_r[idx_d] = 3.0*L::cs2*L::cs2;
}
else if(((d_a == d_b && d_c == d_d) && (d_a == d_c && d_b == d_d))
|| ((d_a == d_b && d_c == d_d) && (d_a == d_d && d_b == d_d))
|| ((d_a == d_d && d_b == d_c) && (d_a == d_d && d_b == d_d))) {
sumWeight4Celerity_r[idx_d] = 2.0*L::cs2*L::cs2;
}
else if((d_a == d_b && d_c == d_d)
|| (d_a == d_c && d_b == d_d)
|| (d_a == d_d && d_b == d_c)) {
sumWeight4Celerity_r[idx_d] = 1.0*L::cs2*L::cs2;
}
for(int d_e = 0; d_e < L::dimD; ++d_e) {
int idx_e = L::dimD * idx_d + d_e;
sumWeight5Celerity[idx_e] += L::weight()[iQ]*L::celerity()[iQ][d_a]
*L::celerity()[iQ][d_b]*L::celerity()[iQ][d_c]*L::celerity()[iQ][d_d]
*L::celerity()[iQ][d_e];
}
}
}
}
}
}
BOOST_TEST(sumWeight == sumWeight_r, tt::tolerance(1e-15));
for(int i = 0; i < L::dimD; ++i) {
BOOST_TEST(sumWeightCelerity[i] == sumWeightCelerity_r[i], tt::tolerance(1e-15));
}
for(int i = 0; i < L::dimD*L::dimD; ++i) {
BOOST_TEST(sumWeight2Celerity[i] == sumWeight2Celerity_r[i], tt::tolerance(1e-15));
}
for(int i = 0; i < L::dimD*L::dimD*L::dimD; ++i) {
BOOST_TEST(sumWeight3Celerity[i] == sumWeight3Celerity_r[i], tt::tolerance(1e-15));
}
for(int i = 0; i < L::dimD*L::dimD*L::dimD*L::dimD; ++i) {
BOOST_TEST(sumWeight4Celerity[i] == sumWeight4Celerity_r[i], tt::tolerance(1e-15));
}
for(int i = 0; i < L::dimD*L::dimD*L::dimD*L::dimD*L::dimD; ++i) {
BOOST_TEST(sumWeight5Celerity[i] == sumWeight5Celerity_r[i], tt::tolerance(1e-15));
}
}
BOOST_AUTO_TEST_CASE(TestDoubleD2Q9) {
constexpr LatticeType latticeType = LatticeType::D2Q9;
typedef double valueType;
typedef Lattice<valueType, latticeType> L;
const auto dimD_ = L::dimD;
BOOST_CHECK_EQUAL(dimD_, 2);
const auto dimQ_ = L::dimQ;
BOOST_CHECK_EQUAL(dimQ_, 9);
const auto lX_g_ = L::lX_g;
BOOST_CHECK_EQUAL(lX_g_, lengthX_g);
const auto lY_g_ = L::lY_g;
BOOST_CHECK_EQUAL(lY_g_, lengthY_g);
const auto lZ_g_ = L::lZ_g;
BOOST_CHECK_EQUAL(lZ_g_, 1);
const auto hX_ = L::hX;
BOOST_CHECK_EQUAL(hX_, 1);
const auto hY_ = L::hY;
BOOST_CHECK_EQUAL(hY_, 1);
const auto hZ_ = L::hZ;
BOOST_CHECK_EQUAL(hZ_, 0);
const auto inv_cs2_ = L::inv_cs2;
BOOST_CHECK_EQUAL(inv_cs2_, (3.0));
const auto cs2_ = L::cs2;
BOOST_CHECK_EQUAL(cs2_, (1.0/3.0));
const auto w0_ = L::weight()[0];
BOOST_CHECK_EQUAL(w0_, 4.0/9.0);
const auto w1_ = L::weight()[1];
BOOST_CHECK_EQUAL(w1_, 1.0/36.0);
const auto w2_ = L::weight()[2];
BOOST_CHECK_EQUAL(w2_, 1.0/9.0);
const auto w3_ = L::weight()[3];
BOOST_CHECK_EQUAL(w3_, 1.0/36.0);
const auto w4_ = L::weight()[4];
BOOST_CHECK_EQUAL(w4_, 1.0/9.0);
const auto w5_ = L::weight()[5];
BOOST_CHECK_EQUAL(w5_, 1.0/36.0);
const auto w6_ = L::weight()[6];
BOOST_CHECK_EQUAL(w6_, 1.0/9.0);
const auto w7_ = L::weight()[7];
BOOST_CHECK_EQUAL(w7_, 1.0/36.0);
const auto w8_ = L::weight()[8];
BOOST_CHECK_EQUAL(w8_, 1.0/9.0);
const auto c0_ = L::celerity()[0];
const auto c0_r = MathVector<valueType, dimD_>{{0.0, 0.0}};
BOOST_CHECK_EQUAL(c0_, c0_r);
const auto c1_ = L::celerity()[1];
const auto c1_r = MathVector<valueType, dimD_>{{-1.0, 1.0}};
BOOST_CHECK_EQUAL(c1_, c1_r);
const auto c2_ = L::celerity()[2];
const auto c2_r = MathVector<valueType, dimD_>{{-1.0, 0.0}};
BOOST_CHECK_EQUAL(c2_, c2_r);
const auto c3_ = L::celerity()[3];
const auto c3_r = MathVector<valueType, dimD_>{{-1.0, -1.0}};
BOOST_CHECK_EQUAL(c3_, c3_r);
const auto c4_ = L::celerity()[4];
const auto c4_r = MathVector<valueType, dimD_>{{0.0, -1.0}};
BOOST_CHECK_EQUAL(c4_, c4_r);
const auto c5_ = L::celerity()[5];
const auto c5_r = MathVector<valueType, dimD_>{{1.0, -1.0}};
BOOST_CHECK_EQUAL(c5_, c5_r);
const auto c6_ = L::celerity()[6];
const auto c6_r = MathVector<valueType, dimD_>{{1.0, 0.0}};
BOOST_CHECK_EQUAL(c6_, c6_r);
const auto c7_ = L::celerity()[7];
const auto c7_r = MathVector<valueType, dimD_>{{1.0, 1.0}};
BOOST_CHECK_EQUAL(c7_, c7_r);
const auto c8_ = L::celerity()[8];
const auto c8_r = MathVector<valueType, dimD_>{{0.0, 1.0}};
BOOST_CHECK_EQUAL(c8_, c8_r);
const auto c0_0_ = L::celerity()[0][0];
BOOST_CHECK_EQUAL(c0_0_, 0.0);
const auto c0_1_ = L::celerity()[0][1];
BOOST_CHECK_EQUAL(c0_1_, 0.0);
const auto c1_0_ = L::celerity()[1][0];
BOOST_CHECK_EQUAL(c1_0_, -1.0);
const auto c1_1_ = L::celerity()[1][1];
BOOST_CHECK_EQUAL(c1_1_, 1.0);
const auto c2_0_ = L::celerity()[2][0];
BOOST_CHECK_EQUAL(c2_0_, -1.0);
const auto c2_1_ = L::celerity()[2][1];
BOOST_CHECK_EQUAL(c2_1_, 0.0);
const auto c3_0_ = L::celerity()[3][0];
BOOST_CHECK_EQUAL(c3_0_, -1.0);
const auto c3_1_ = L::celerity()[3][1];
BOOST_CHECK_EQUAL(c3_1_, -1.0);
const auto c4_0_ = L::celerity()[4][0];
BOOST_CHECK_EQUAL(c4_0_, 0.0);
const auto c4_1_ = L::celerity()[4][1];
BOOST_CHECK_EQUAL(c4_1_, -1.0);
const auto c5_0_ = L::celerity()[5][0];
BOOST_CHECK_EQUAL(c5_0_, 1.0);
const auto c5_1_ = L::celerity()[5][1];
BOOST_CHECK_EQUAL(c5_1_, -1.0);
const auto c6_0_ = L::celerity()[6][0];
BOOST_CHECK_EQUAL(c6_0_, 1.0);
const auto c6_1_ = L::celerity()[6][1];
BOOST_CHECK_EQUAL(c6_1_, 0.0);
const auto c7_0_ = L::celerity()[7][0];
BOOST_CHECK_EQUAL(c7_0_, 1.0);
const auto c7_1_ = L::celerity()[7][1];
BOOST_CHECK_EQUAL(c7_1_, 1.0);
const auto c8_0_ = L::celerity()[8][0];
BOOST_CHECK_EQUAL(c8_0_, 0.0);
const auto c8_1_ = L::celerity()[8][1];
BOOST_CHECK_EQUAL(c8_1_, 1.0);
}
BOOST_AUTO_TEST_CASE(TestFloatD2Q9) {
constexpr LatticeType latticeType = LatticeType::D2Q9;
typedef float valueType;
typedef Lattice<valueType, latticeType> L;
const auto dimD_ = L::dimD;
BOOST_CHECK_EQUAL(dimD_, 2);
const auto dimQ_ = L::dimQ;
BOOST_CHECK_EQUAL(dimQ_, 9);
const auto lX_g_ = L::lX_g;
BOOST_CHECK_EQUAL(lX_g_, lengthX_g);
const auto lY_g_ = L::lY_g;
BOOST_CHECK_EQUAL(lY_g_, lengthY_g);
const auto lZ_g_ = L::lZ_g;
BOOST_CHECK_EQUAL(lZ_g_, 1);
const auto hX_ = L::hX;
BOOST_CHECK_EQUAL(hX_, 1);
const auto hY_ = L::hY;
BOOST_CHECK_EQUAL(hY_, 1);
const auto hZ_ = L::hZ;
BOOST_CHECK_EQUAL(hZ_, 0);
const auto inv_cs2_ = L::inv_cs2;
BOOST_CHECK_EQUAL(inv_cs2_, (3.0f));
const auto cs2_ = L::cs2;
BOOST_CHECK_EQUAL(cs2_, (1.0f/3.0f));
const auto w0_ = L::weight()[0];
BOOST_CHECK_EQUAL(w0_, 4.0f/9.0f);
const auto w1_ = L::weight()[1];
BOOST_CHECK_EQUAL(w1_, 1.0f/36.0f);
const auto w2_ = L::weight()[2];
BOOST_CHECK_EQUAL(w2_, 1.0f/9.0f);
const auto w3_ = L::weight()[3];
BOOST_CHECK_EQUAL(w3_, 1.0f/36.0f);
const auto w4_ = L::weight()[4];
BOOST_CHECK_EQUAL(w4_, 1.0f/9.0f);
const auto w5_ = L::weight()[5];
BOOST_CHECK_EQUAL(w5_, 1.0f/36.0f);
const auto w6_ = L::weight()[6];
BOOST_CHECK_EQUAL(w6_, 1.0f/9.0f);
const auto w7_ = L::weight()[7];
BOOST_CHECK_EQUAL(w7_, 1.0f/36.0f);
const auto w8_ = L::weight()[8];
BOOST_CHECK_EQUAL(w8_, 1.0f/9.0f);
const auto c0_ = L::celerity()[0];
const auto c0_r = MathVector<valueType, dimD_>{{0.0f, 0.0f}};
BOOST_CHECK_EQUAL(c0_, c0_r);
const auto c1_ = L::celerity()[1];
const auto c1_r = MathVector<valueType, dimD_>{{-1.0f, 1.0f}};
BOOST_CHECK_EQUAL(c1_, c1_r);
const auto c2_ = L::celerity()[2];
const auto c2_r = MathVector<valueType, dimD_>{{-1.0f, 0.0f}};
BOOST_CHECK_EQUAL(c2_, c2_r);
const auto c3_ = L::celerity()[3];
const auto c3_r = MathVector<valueType, dimD_>{{-1.0f, -1.0f}};
BOOST_CHECK_EQUAL(c3_, c3_r);
const auto c4_ = L::celerity()[4];
const auto c4_r = MathVector<valueType, dimD_>{{0.0f, -1.0f}};
BOOST_CHECK_EQUAL(c4_, c4_r);
const auto c5_ = L::celerity()[5];
const auto c5_r = MathVector<valueType, dimD_>{{1.0f, -1.0f}};
BOOST_CHECK_EQUAL(c5_, c5_r);
const auto c6_ = L::celerity()[6];
const auto c6_r = MathVector<valueType, dimD_>{{1.0f, 0.0f}};
BOOST_CHECK_EQUAL(c6_, c6_r);
const auto c7_ = L::celerity()[7];
const auto c7_r = MathVector<valueType, dimD_>{{1.0f, 1.0f}};
BOOST_CHECK_EQUAL(c7_, c7_r);
const auto c8_ = L::celerity()[8];
const auto c8_r = MathVector<valueType, dimD_>{{0.0f, 1.0f}};
BOOST_CHECK_EQUAL(c8_, c8_r);
const auto c0_0_ = L::celerity()[0][0];
BOOST_CHECK_EQUAL(c0_0_, 0.0f);
const auto c0_1_ = L::celerity()[0][1];
BOOST_CHECK_EQUAL(c0_1_, 0.0f);
const auto c1_0_ = L::celerity()[1][0];
BOOST_CHECK_EQUAL(c1_0_, -1.0f);
const auto c1_1_ = L::celerity()[1][1];
BOOST_CHECK_EQUAL(c1_1_, 1.0f);
const auto c2_0_ = L::celerity()[2][0];
BOOST_CHECK_EQUAL(c2_0_, -1.0f);
const auto c2_1_ = L::celerity()[2][1];
BOOST_CHECK_EQUAL(c2_1_, 0.0f);
const auto c3_0_ = L::celerity()[3][0];
BOOST_CHECK_EQUAL(c3_0_, -1.0f);
const auto c3_1_ = L::celerity()[3][1];
BOOST_CHECK_EQUAL(c3_1_, -1.0f);
const auto c4_0_ = L::celerity()[4][0];
BOOST_CHECK_EQUAL(c4_0_, 0.0f);
const auto c4_1_ = L::celerity()[4][1];
BOOST_CHECK_EQUAL(c4_1_, -1.0f);
const auto c5_0_ = L::celerity()[5][0];
BOOST_CHECK_EQUAL(c5_0_, 1.0f);
const auto c5_1_ = L::celerity()[5][1];
BOOST_CHECK_EQUAL(c5_1_, -1.0f);
const auto c6_0_ = L::celerity()[6][0];
BOOST_CHECK_EQUAL(c6_0_, 1.0f);
const auto c6_1_ = L::celerity()[6][1];
BOOST_CHECK_EQUAL(c6_1_, 0.0f);
const auto c7_0_ = L::celerity()[7][0];
BOOST_CHECK_EQUAL(c7_0_, 1.0f);
const auto c7_1_ = L::celerity()[7][1];
BOOST_CHECK_EQUAL(c7_1_, 1.0f);
const auto c8_0_ = L::celerity()[8][0];
BOOST_CHECK_EQUAL(c8_0_, 0.0f);
const auto c8_1_ = L::celerity()[8][1];
BOOST_CHECK_EQUAL(c8_1_, 1.0f);
}
BOOST_AUTO_TEST_CASE(TestIsotropyD3Q15) {
constexpr LatticeType latticeType = LatticeType::D3Q15;
typedef double valueType;
typedef Lattice<valueType, latticeType> L;
valueType sumWeight = 0.0;
valueType sumWeight_r = 1.0;
MathVector<valueType, L::dimD> sumWeightCelerity{{0.0}};
MathVector<valueType, L::dimD> sumWeightCelerity_r{{0.0}};
MathVector<valueType, L::dimD*L::dimD> sumWeight2Celerity{{0.0}};
MathVector<valueType, L::dimD*L::dimD> sumWeight2Celerity_r{{0.0}};
MathVector<valueType, L::dimD*L::dimD*L::dimD> sumWeight3Celerity{{0.0}};
MathVector<valueType, L::dimD*L::dimD*L::dimD> sumWeight3Celerity_r{{0.0}};
MathVector<valueType, L::dimD*L::dimD*L::dimD*L::dimD> sumWeight4Celerity{{0.0}};
MathVector<valueType, L::dimD*L::dimD*L::dimD*L::dimD> sumWeight4Celerity_r{{0.0}};
MathVector<valueType, L::dimD*L::dimD*L::dimD*L::dimD*L::dimD> sumWeight5Celerity{{0.0}};
MathVector<valueType, L::dimD*L::dimD*L::dimD*L::dimD*L::dimD> sumWeight5Celerity_r{{0.0}};
for(int iQ = 0; iQ < L::dimQ; ++iQ) {
sumWeight += L::weight()[iQ];
for(int d_a = 0; d_a < L::dimD; ++d_a) {
int idx_a = d_a;
sumWeightCelerity[idx_a] += L::weight()[iQ]*L::celerity()[iQ][d_a];
for(int d_b = 0; d_b < L::dimD; ++d_b) {
int idx_b = L::dimD * idx_a + d_b;
sumWeight2Celerity[idx_b] += L::weight()[iQ]*L::celerity()[iQ][d_a]*L::celerity()[iQ][d_b];
if(d_a == d_b) {
sumWeight2Celerity_r[idx_b] = L::cs2;
}
for(int d_c = 0; d_c < L::dimD; ++d_c) {
int idx_c = L::dimD * idx_b + d_c;
sumWeight3Celerity[idx_c] += L::weight()[iQ]*L::celerity()[iQ][d_a]
*L::celerity()[iQ][d_b]*L::celerity()[iQ][d_c];
for(int d_d = 0; d_d < L::dimD; ++d_d) {
int idx_d = L::dimD * idx_c + d_d;
sumWeight4Celerity[idx_d] += L::weight()[iQ]*L::celerity()[iQ][d_a]
*L::celerity()[iQ][d_b]*L::celerity()[iQ][d_c]*L::celerity()[iQ][d_d];
if((d_a == d_b && d_c == d_d)
&& (d_a == d_c && d_b == d_d)
&& (d_a == d_d && d_b == d_c)) {
sumWeight4Celerity_r[idx_d] = 3.0*L::cs2*L::cs2;
}
else if(((d_a == d_b && d_c == d_d) && (d_a == d_c && d_b == d_d))
|| ((d_a == d_b && d_c == d_d) && (d_a == d_d && d_b == d_d))
|| ((d_a == d_d && d_b == d_c) && (d_a == d_d && d_b == d_d))) {
sumWeight4Celerity_r[idx_d] = 2.0*L::cs2*L::cs2;
}
else if((d_a == d_b && d_c == d_d)
|| (d_a == d_c && d_b == d_d)
|| (d_a == d_d && d_b == d_c)) {
sumWeight4Celerity_r[idx_d] = 1.0*L::cs2*L::cs2;
}
for(int d_e = 0; d_e < L::dimD; ++d_e) {
int idx_e = L::dimD * idx_d + d_e;
sumWeight5Celerity[idx_e] += L::weight()[iQ]*L::celerity()[iQ][d_a]
*L::celerity()[iQ][d_b]*L::celerity()[iQ][d_c]*L::celerity()[iQ][d_d]
*L::celerity()[iQ][d_e];
}
}
}
}
}
}
BOOST_TEST(sumWeight == sumWeight_r, tt::tolerance(1e-15));
for(int i = 0; i < L::dimD; ++i) {
BOOST_TEST(sumWeightCelerity[i] == sumWeightCelerity_r[i], tt::tolerance(1e-15));
}
for(int i = 0; i < L::dimD*L::dimD; ++i) {
BOOST_TEST(sumWeight2Celerity[i] == sumWeight2Celerity_r[i], tt::tolerance(1e-15));
}
for(int i = 0; i < L::dimD*L::dimD*L::dimD; ++i) {
BOOST_TEST(sumWeight3Celerity[i] == sumWeight3Celerity_r[i], tt::tolerance(1e-15));
}
for(int i = 0; i < L::dimD*L::dimD*L::dimD*L::dimD; ++i) {
BOOST_TEST(sumWeight4Celerity[i] == sumWeight4Celerity_r[i], tt::tolerance(1e-15));
}
for(int i = 0; i < L::dimD*L::dimD*L::dimD*L::dimD*L::dimD; ++i) {
BOOST_TEST(sumWeight5Celerity[i] == sumWeight5Celerity_r[i], tt::tolerance(1e-15));
}
}
BOOST_AUTO_TEST_CASE(TestDoubleD3Q15) {
constexpr LatticeType latticeType = LatticeType::D3Q15;
typedef double valueType;
typedef Lattice<valueType, latticeType> L;
const auto dimD_ = L::dimD;
BOOST_CHECK_EQUAL(dimD_, 3);
const auto dimQ_ = L::dimQ;
BOOST_CHECK_EQUAL(dimQ_, 15);
const auto lX_g_ = L::lX_g;
BOOST_CHECK_EQUAL(lX_g_, lengthX_g);
const auto lY_g_ = L::lY_g;
BOOST_CHECK_EQUAL(lY_g_, lengthY_g);
const auto lZ_g_ = L::lZ_g;
BOOST_CHECK_EQUAL(lZ_g_, lengthZ_g);
const auto hX_ = L::hX;
BOOST_CHECK_EQUAL(hX_, 1);
const auto hY_ = L::hY;
BOOST_CHECK_EQUAL(hY_, 1);
const auto hZ_ = L::hZ;
BOOST_CHECK_EQUAL(hZ_, 1);
const auto inv_cs2_ = L::inv_cs2;
BOOST_CHECK_EQUAL(inv_cs2_, (3.0));
const auto cs2_ = L::cs2;
BOOST_CHECK_EQUAL(cs2_, (1.0/3.0));
const auto w0_ = L::weight()[0];
BOOST_CHECK_EQUAL(w0_, 2.0/9.0);
const auto w1_ = L::weight()[1];
BOOST_CHECK_EQUAL(w1_, 1.0/9.0);
const auto w2_ = L::weight()[2];
BOOST_CHECK_EQUAL(w2_, 1.0/9.0);
const auto w3_ = L::weight()[3];
BOOST_CHECK_EQUAL(w3_, 1.0/9.0);
const auto w4_ = L::weight()[4];
BOOST_CHECK_EQUAL(w4_, 1.0/72.0);
const auto w5_ = L::weight()[5];
BOOST_CHECK_EQUAL(w5_, 1.0/72.0);
const auto w6_ = L::weight()[6];
BOOST_CHECK_EQUAL(w6_, 1.0/72.0);
const auto w7_ = L::weight()[7];
BOOST_CHECK_EQUAL(w7_, 1.0/72.0);
const auto w8_ = L::weight()[8];
BOOST_CHECK_EQUAL(w8_, 1.0/9.0);
const auto w9_ = L::weight()[9];
BOOST_CHECK_EQUAL(w9_, 1.0/9.0);
const auto w10_ = L::weight()[10];
BOOST_CHECK_EQUAL(w10_, 1.0/9.0);
const auto w11_ = L::weight()[11];
BOOST_CHECK_EQUAL(w11_, 1.0/72.0);
const auto w12_ = L::weight()[12];
BOOST_CHECK_EQUAL(w12_, 1.0/72.0);
const auto w13_ = L::weight()[13];
BOOST_CHECK_EQUAL(w13_, 1.0/72.0);
const auto w14_ = L::weight()[14];
BOOST_CHECK_EQUAL(w14_, 1.0/72.0);
const auto c0_ = L::celerity()[0];
const auto c0_r = MathVector<valueType, dimD_>{{0.0, 0.0, 0.0}};
BOOST_CHECK_EQUAL(c0_, c0_r);
const auto c1_ = L::celerity()[1];
const auto c1_r = MathVector<valueType, dimD_>{{-1.0, 0.0, 0.0}};
BOOST_CHECK_EQUAL(c1_, c1_r);
const auto c2_ = L::celerity()[2];
const auto c2_r = MathVector<valueType, dimD_>{{0.0, -1.0, 0.0}};
BOOST_CHECK_EQUAL(c2_, c2_r);
const auto c3_ = L::celerity()[3];
const auto c3_r = MathVector<valueType, dimD_>{{0.0, 0.0, -1.0}};
BOOST_CHECK_EQUAL(c3_, c3_r);
const auto c4_ = L::celerity()[4];
const auto c4_r = MathVector<valueType, dimD_>{{-1.0, -1.0, -1.0}};
BOOST_CHECK_EQUAL(c4_, c4_r);
const auto c5_ = L::celerity()[5];
const auto c5_r = MathVector<valueType, dimD_>{{-1.0, -1.0, 1.0}};
BOOST_CHECK_EQUAL(c5_, c5_r);
const auto c6_ = L::celerity()[6];
const auto c6_r = MathVector<valueType, dimD_>{{-1.0, 1.0, -1.0}};
BOOST_CHECK_EQUAL(c6_, c6_r);
const auto c7_ = L::celerity()[7];
const auto c7_r = MathVector<valueType, dimD_>{{-1.0, 1.0, 1.0}};
BOOST_CHECK_EQUAL(c7_, c7_r);
const auto c8_ = L::celerity()[8];
const auto c8_r = MathVector<valueType, dimD_>{{1.0, 0.0, 0.0}};
BOOST_CHECK_EQUAL(c8_, c8_r);
const auto c9_ = L::celerity()[9];
const auto c9_r = MathVector<valueType, dimD_>{{0.0, 1.0, 0.0}};
BOOST_CHECK_EQUAL(c9_, c9_r);
const auto c10_ = L::celerity()[10];
const auto c10_r = MathVector<valueType, dimD_>{{0.0, 0.0, 1.0}};
BOOST_CHECK_EQUAL(c10_, c10_r);
const auto c11_ = L::celerity()[11];
const auto c11_r = MathVector<valueType, dimD_>{{1.0, 1.0, 1.0}};
BOOST_CHECK_EQUAL(c11_, c11_r);
const auto c12_ = L::celerity()[12];
const auto c12_r = MathVector<valueType, dimD_>{{1.0, 1.0, -1.0}};
BOOST_CHECK_EQUAL(c12_, c12_r);
const auto c13_ = L::celerity()[13];
const auto c13_r = MathVector<valueType, dimD_>{{1.0, -1.0, 1.0}};
BOOST_CHECK_EQUAL(c13_, c13_r);
const auto c14_ = L::celerity()[14];
const auto c14_r = MathVector<valueType, dimD_>{{1.0, -1.0, -1.0}};
BOOST_CHECK_EQUAL(c14_, c14_r);
const auto c0_0_ = L::celerity()[0][0];
BOOST_CHECK_EQUAL(c0_0_, 0.0);
const auto c0_1_ = L::celerity()[0][1];
BOOST_CHECK_EQUAL(c0_1_, 0.0);
const auto c0_2_ = L::celerity()[0][1];
BOOST_CHECK_EQUAL(c0_2_, 0.0);
const auto c1_0_ = L::celerity()[1][0];
BOOST_CHECK_EQUAL(c1_0_, -1.0);
const auto c1_1_ = L::celerity()[1][1];
BOOST_CHECK_EQUAL(c1_1_, 0.0);
const auto c1_2_ = L::celerity()[1][2];
BOOST_CHECK_EQUAL(c1_2_, 0.0);
const auto c2_0_ = L::celerity()[2][0];
BOOST_CHECK_EQUAL(c2_0_, 0.0);
const auto c2_1_ = L::celerity()[2][1];
BOOST_CHECK_EQUAL(c2_1_, -1.0);
const auto c2_2_ = L::celerity()[2][2];