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Commit 89cfbc44 authored by Steffen Schotthöfer's avatar Steffen Schotthöfer
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huge merge, because git somehow messed up? 


Former-commit-id: aef99124
parents 8f782134 35c34365
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code/CMakeLists.txt
View file @ 89cfbc44
......@@ -74,13 +74,6 @@ add_compile_definitions( GIT_HASH="${GIT_HASH}" )
### BUILD KIT-RT ################################
file( GLOB_RECURSE SRCS RELATIVE ${CMAKE_SOURCE_DIR} "src/*.cpp" "include/*.h" )
set( EXCLUDE_DIR "/gui/" )
foreach( TMP_PATH ${SRCS} )
string( FIND ${TMP_PATH} ${EXCLUDE_DIR} EXCLUDE_DIR_FOUND )
if( NOT ${EXCLUDE_DIR_FOUND} EQUAL -1 )
list( REMOVE_ITEM SRCS ${TMP_PATH} )
endif()
endforeach( TMP_PATH )
include_directories( ${CMAKE_SOURCE_DIR}/include )
add_executable( ${CMAKE_PROJECT_NAME} ${SRCS} ${EXT_SRCS} )
target_link_libraries( ${CMAKE_PROJECT_NAME} ${CORE_LIBRARIES} )
......
code/include/common/config.h
View file @ 89cfbc44
......@@ -4,8 +4,6 @@
* DO NOT CREATE SETTERS FOR THIS CLASS! ALL OPTIONS ARE CONSTANT (after SetPostprocessing).
*
* @author S. Schotthöfer
*
* Disclaimer: This class structure was copied and (heavily) modifed with open source permission from SU2 v7.0.3 https://su2code.github.io/
*/
#ifndef CONFIG_H
......
code/include/toolboxes/reconstructor.h
View file @ 89cfbc44
......@@ -24,6 +24,9 @@ class Reconstructor
* @param settings
*/
Reconstructor( Config* settings );
static Reconstructor* Create( Config* settings );
unsigned inline GetReconsOrder() { return _reconsOrder; }
unsigned inline GetReconsOrder() { return _reconsOrder; }
......
code/src/solvers/csdsolvertrafofpsh2d.cpp
View file @ 89cfbc44
......@@ -14,6 +14,7 @@ CSDSolverTrafoFPSH2D::CSDSolverTrafoFPSH2D( Config* settings ) : SNSolver( setti
// create quadrature
unsigned order = _quadrature->GetOrder();
unsigned nq = _settings->GetNQuadPoints();
_quadPoints = _quadrature->GetPoints();
_weights = _quadrature->GetWeights();
_quadPointsSphere = _quadrature->GetPointsSphere();
......
code/tests/test_quadrature.cpp
View file @ 89cfbc44
......@@ -128,8 +128,6 @@ TEST_CASE( "Quadrature Tests", "[quadrature]" ) {
// Set quadOrder
config->SetQuadOrder( quadratureorder );
bool errorWithinBounds = true;
QuadratureBase* Q = QuadratureBase::Create( config );
VectorVector points = Q->GetPoints();
for( unsigned i = 0; i < Q->GetNq(); i++ ) {
......
code/tests/test_sphericalBasis.cpp deleted 100644 → 0
View file @ 8f782134
#include "catch.hpp"
#include "common/config.h"
#include "quadratures/qgausslegendretensorized.h"
#include "toolboxes/sphericalharmonics.h"
#include "toolboxes/sphericalmonomials.h"
#include <fstream>
#include <iostream>
#include <sstream>
double Y0_0( double, double ) { return sqrt( 1 / ( 4 * M_PI ) ); }
double Y1_m1( double my, double phi ) { return -sqrt( 3 / ( 4 * M_PI ) ) * sqrt( 1 - my * my ) * sin( phi ); }
double Y1_0( double my, double /*phi*/ ) { return sqrt( 3 / ( 4 * M_PI ) ) * my; }
double Y1_1( double my, double phi ) { return -sqrt( 3 / ( 4 * M_PI ) ) * sqrt( 1 - my * my ) * cos( phi ); }
double Y2_m2( double my, double phi ) { return sqrt( 15 / ( 16 * M_PI ) ) * ( 1 - my * my ) * sin( 2 * phi ); }
double Y2_m1( double my, double phi ) { return -1 * sqrt( 15 / ( 4 * M_PI ) ) * my * sqrt( 1 - my * my ) * sin( phi ); }
double Y2_0( double my, double /*phi*/ ) { return sqrt( 5 / ( 16 * M_PI ) ) * ( 3 * my * my - 1 ); }
double Y2_1( double my, double phi ) { return -1 * sqrt( 15 / ( 4 * M_PI ) ) * my * sqrt( 1 - my * my ) * cos( phi ); }
double Y2_2( double my, double phi ) { return sqrt( 15 / ( 16 * M_PI ) ) * ( 1 - my * my ) * cos( 2 * phi ); }
double P0_0( double /*my*/ ) { return sqrt( 1 / ( 2 * M_PI ) ); }
double P1_0( double my ) { return sqrt( 3 / ( 2 * M_PI ) ) * my; }
double P1_1( double my ) { return -sqrt( 3 / ( 4 * M_PI ) ) * sqrt( 1 - my * my ); }
double P2_0( double my ) { return sqrt( 5 / ( 8 * M_PI ) ) * ( 3 * my * my - 1 ); }
double P2_1( double my ) { return -1 * sqrt( 15 / ( 4 * M_PI ) ) * my * sqrt( 1 - my * my ); }
double P2_2( double my ) { return sqrt( 15 / ( 16 * M_PI ) ) * ( 1 - my * my ); }
TEST_CASE( "test spherical harmonics basis ", "[spherical_harmonics]" ) {
std::string filename = std::string( TESTS_PATH ) + "input/unit_tests/solvers/unit_harmonics.cfg";
// Load Settings from File
Config* config = new Config( filename );
unsigned maxMomentDegree = 2;
SphericalHarmonics testBase( maxMomentDegree );
SECTION( "Test Global Indexing" ) {
bool indexingRight = true;
if( testBase.GetGlobalIndexBasis( 0, 0 ) != 0 ) indexingRight = false;
if( testBase.GetGlobalIndexBasis( 1, -1 ) != 1 ) indexingRight = false;
if( testBase.GetGlobalIndexBasis( 1, 0 ) != 2 ) indexingRight = false;
if( testBase.GetGlobalIndexBasis( 1, 1 ) != 3 ) indexingRight = false;
if( testBase.GetGlobalIndexBasis( 2, -2 ) != 4 ) indexingRight = false;
if( testBase.GetGlobalIndexBasis( 2, -1 ) != 5 ) indexingRight = false;
if( testBase.GetGlobalIndexBasis( 2, 0 ) != 6 ) indexingRight = false;
if( testBase.GetGlobalIndexBasis( 2, 1 ) != 7 ) indexingRight = false;
if( testBase.GetGlobalIndexBasis( 2, 2 ) != 8 ) indexingRight = false;
REQUIRE( indexingRight );
}
SECTION( "Test against analytical solution" ) {
std::vector<double> legendre;
Vector moment;
std::vector<bool> validLegendrePoly( 6, true );
std::vector<bool> validMoment( 9, true );
for( double my = -1.0; my < 1.0; my += 0.1 ) {
legendre = testBase.GetAssLegendrePoly( my );
if( std::fabs( legendre[0] - P0_0( my ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validLegendrePoly[0] = false;
if( std::fabs( legendre[1] - P1_0( my ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validLegendrePoly[1] = false;
if( std::fabs( legendre[2] - P1_1( my ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validLegendrePoly[2] = false;
if( std::fabs( legendre[3] - P2_0( my ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validLegendrePoly[3] = false;
if( std::fabs( legendre[4] - P2_1( my ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validLegendrePoly[4] = false;
if( std::fabs( legendre[5] - P2_2( my ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validLegendrePoly[5] = false;
for( double phi = 0.0; phi < 2 * M_PI; phi += 0.1 ) {
moment = testBase.ComputeSphericalBasis( my, phi );
if( std::fabs( moment[0] - Y0_0( my, phi ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validMoment[0] = false;
if( std::fabs( moment[1] - Y1_m1( my, phi ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validMoment[1] = false;
if( std::fabs( moment[2] - Y1_0( my, phi ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validMoment[2] = false;
if( std::fabs( moment[3] - Y1_1( my, phi ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validMoment[3] = false;
if( std::fabs( moment[4] - Y2_m2( my, phi ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validMoment[4] = false;
if( std::fabs( moment[5] - Y2_m1( my, phi ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validMoment[5] = false;
if( std::fabs( moment[6] - Y2_0( my, phi ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validMoment[6] = false;
if( std::fabs( moment[7] - Y2_1( my, phi ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validMoment[7] = false;
if( std::fabs( moment[8] - Y2_2( my, phi ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validMoment[8] = false;
}
}
REQUIRE( std::all_of( validLegendrePoly.begin(), validLegendrePoly.end(), []( bool v ) { return v; } ) );
REQUIRE( std::all_of( validMoment.begin(), validMoment.end(), []( bool v ) { return v; } ) );
}
// Remove title line
SECTION( "test to reference solution" ) {
std::string text_line;
std::ifstream case_file;
double my = 0.0;
double phi = 0.0;
Vector values( 9, 0.0 );
Vector result( 4, 0.0 );
case_file.open( "unit_test/solvers/harmonicBasis_reference.csv", std::ios::in );
getline( case_file, text_line );
bool errorWithinBounds = true;
while( getline( case_file, text_line ) ) {
// give line to stringstream
std::stringstream ss( text_line );
// Read values
ss >> my >> phi >> values[0] >> values[1] >> values[2] >> values[3] >> values[4] >> values[5] >> values[6] >> values[7] >> values[8];
result = testBase.ComputeSphericalBasis( my, phi );
for( unsigned idx = 0; idx < 9; idx++ ) {
if( std::fabs( result[idx] - values[idx] ) > 1e2 * std::numeric_limits<double>::epsilon() ) errorWithinBounds = false;
}
}
REQUIRE( errorWithinBounds );
case_file.close();
}
SECTION( "test orthonormality - spherical coordinates" ) {
// Caution: Integration only works with spherical coordinates!
QGaussLegendreTensorized quad( config );
double my, phi, w;
Vector moment = testBase.ComputeSphericalBasis( 0, 1, 0 );
// 9 basis moments if degree = 2
Matrix results( moment.size(), moment.size(), 0.0 );
for( unsigned idx_quad = 0; idx_quad < quad.GetNq(); idx_quad++ ) {
my = quad.GetPointsSphere()[idx_quad][0];
phi = quad.GetPointsSphere()[idx_quad][1];
// z = quad.GetPoints()[idx_quad][2];
w = quad.GetWeights()[idx_quad];
moment = testBase.ComputeSphericalBasis( my, phi );
for( unsigned idx_row = 0; idx_row < 9; idx_row++ ) {
for( unsigned idx_col = 0; idx_col < 9; idx_col++ ) {
results( idx_row, idx_col ) += w * moment[idx_row] * moment[idx_col];
}
}
}
bool errorWithinBounds = true;
bool orthogonality = true;
for( unsigned idx_row = 0; idx_row < 9; idx_row++ ) {
for( unsigned idx_col = 0; idx_col < 9; idx_col++ ) {
if( idx_row == idx_col ) {
// Orthogonality
if( std::fabs( results( idx_row, idx_col ) - 1.0 ) > 1e2 * std::numeric_limits<double>::epsilon() ) orthogonality = false;
}
else {
// Normality
if( std::fabs( results( idx_row, idx_col ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) errorWithinBounds = false;
}
}
}
REQUIRE( errorWithinBounds );
REQUIRE( orthogonality );
}
SECTION( "test parity - carthesian coordinates" ) {
Vector moment1 = testBase.ComputeSphericalBasis( 0, 0 );
Vector moment2 = testBase.ComputeSphericalBasis( 0, 0 );
// Parity in carthesian coordinates
QGaussLegendreTensorized quad( config );
double x, y, z;
bool errorWithinBounds = true;
for( unsigned idx_quad = 0; idx_quad < quad.GetNq(); idx_quad++ ) {
x = quad.GetPoints()[idx_quad][0];
y = quad.GetPoints()[idx_quad][1];
z = quad.GetPoints()[idx_quad][2];
moment1 = testBase.ComputeSphericalBasis( x, y, z );
moment2 = testBase.ComputeSphericalBasis( -x, -y, -z );
unsigned idx_sys;
double result = 0.;
for( int l_idx = 0; l_idx <= int( maxMomentDegree ); l_idx++ ) {
for( int k_idx = -l_idx; k_idx <= l_idx; k_idx++ ) {
idx_sys = testBase.GetGlobalIndexBasis( l_idx, k_idx );
if( l_idx % 2 == 0 )
result = moment2[idx_sys] - moment1[idx_sys];
else
result = moment2[idx_sys] + moment1[idx_sys];
if( std::fabs( result ) > 1e2 * std::numeric_limits<double>::epsilon() ) errorWithinBounds = false;
}
}
}
REQUIRE( errorWithinBounds );
}
SECTION( "test parity - polar coordinates" ) {
Vector moment1 = testBase.ComputeSphericalBasis( 0, 0 );
Vector moment2 = testBase.ComputeSphericalBasis( 0, 0 );
unsigned idx_sys;
double result = 0.;
// // test in polar coordinates
bool errorWithinBounds = true;
for( double my = -1.0; my < 1.0; my += 0.1 ) {
for( double phi = 0.0; phi < 2 * M_PI; phi += 0.1 ) {
moment2 = testBase.ComputeSphericalBasis( my, phi );
moment1 = testBase.ComputeSphericalBasis( -my, M_PI + phi );
for( int l_idx = 0; l_idx <= int( maxMomentDegree ); l_idx++ ) {
for( int k_idx = -l_idx; k_idx <= l_idx; k_idx++ ) {
idx_sys = testBase.GetGlobalIndexBasis( l_idx, k_idx );
if( l_idx % 2 == 0 )
result = moment2[idx_sys] - moment1[idx_sys];
else
result = moment2[idx_sys] + moment1[idx_sys];
if( std::fabs( result ) > 1e2 * std::numeric_limits<double>::epsilon() ) errorWithinBounds = false;
}
}
}
}
REQUIRE( errorWithinBounds );
}
}
double Omega_xBase( double my, double phi ) { return sqrt( 1 - my * my ) * sin( phi ); }
double Omega_yBase( double my, double phi ) { return sqrt( 1 - my * my ) * cos( phi ); }
double Omega_zBase( double my ) { return my; }
double SphericalMonomial_0( double /* my */, double /* phi */ ) { return 1; }
double SphericalMonomial_1( double my, double /*phi*/ ) { return Omega_zBase( my ); } // omega_z
double SphericalMonomial_2( double my, double phi ) { return Omega_yBase( my, phi ); } // omega_y
double SphericalMonomial_3( double my, double phi ) { return Omega_xBase( my, phi ); } // omega_x
double SphericalMonomial_4( double my, double /*phi*/ ) { return Omega_zBase( my ) * Omega_zBase( my ); } // omega_z^2
double SphericalMonomial_5( double my, double phi ) { return Omega_yBase( my, phi ) * Omega_zBase( my ); } // omega_y*omega_z
double SphericalMonomial_6( double my, double phi ) { return Omega_yBase( my, phi ) * Omega_yBase( my, phi ); } // omega_y^2
double SphericalMonomial_7( double my, double phi ) { return Omega_xBase( my, phi ) * Omega_zBase( my ); } // omega_x*omega_z
double SphericalMonomial_8( double my, double phi ) { return Omega_xBase( my, phi ) * Omega_yBase( my, phi ); } // omega_x*omega_y
double SphericalMonomial_9( double my, double phi ) { return Omega_xBase( my, phi ) * Omega_xBase( my, phi ); } // omega_x^2
TEST_CASE( "test spherical monomial basis", "[spherical_monomials]" ) {
unsigned maxMomentDegree = 2; //==> 6+3+1 basis functions
SphericalMonomials testBase( maxMomentDegree ); // Default constructor => _spatialDim = 3
SECTION( "Test Global Indexing Dim 3" ) {
bool currDimRight = true;
if( testBase.GetCurrDegreeSize( 0 ) != 1 ) currDimRight = false;
if( testBase.GetCurrDegreeSize( 1 ) != 3 ) currDimRight = false;
if( testBase.GetCurrDegreeSize( 2 ) != 6 ) currDimRight = false;
REQUIRE( currDimRight );
bool indexingRight = true;
if( testBase.GetGlobalIndexBasis( 0, 0 ) != 0 ) indexingRight = false;
if( testBase.GetGlobalIndexBasis( 1, 0 ) != 1 ) indexingRight = false;
if( testBase.GetGlobalIndexBasis( 1, 1 ) != 2 ) indexingRight = false;
if( testBase.GetGlobalIndexBasis( 1, 2 ) != 3 ) indexingRight = false;
if( testBase.GetGlobalIndexBasis( 2, 0 ) != 4 ) indexingRight = false;
if( testBase.GetGlobalIndexBasis( 2, 1 ) != 5 ) indexingRight = false;
if( testBase.GetGlobalIndexBasis( 2, 2 ) != 6 ) indexingRight = false;
if( testBase.GetGlobalIndexBasis( 2, 3 ) != 7 ) indexingRight = false;
if( testBase.GetGlobalIndexBasis( 2, 4 ) != 8 ) indexingRight = false;
if( testBase.GetGlobalIndexBasis( 2, 5 ) != 9 ) indexingRight = false;
REQUIRE( indexingRight );
}
SECTION( "Test against analytical solution Dim 3" ) {
Vector moment;
std::vector<bool> validMoment( 10, true );
for( double my = -1.0; my < 1.0; my += 0.1 ) {
for( double phi = 0.0; phi < 2 * M_PI; phi += 0.1 ) {
moment = testBase.ComputeSphericalBasis( my, phi );
if( std::fabs( moment[0] - SphericalMonomial_0( my, phi ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validMoment[0] = false;
if( std::fabs( moment[1] - SphericalMonomial_1( my, phi ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validMoment[1] = false;
if( std::fabs( moment[2] - SphericalMonomial_2( my, phi ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validMoment[2] = false;
if( std::fabs( moment[3] - SphericalMonomial_3( my, phi ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validMoment[3] = false;
if( std::fabs( moment[4] - SphericalMonomial_4( my, phi ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validMoment[4] = false;
if( std::fabs( moment[5] - SphericalMonomial_5( my, phi ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validMoment[5] = false;
if( std::fabs( moment[6] - SphericalMonomial_6( my, phi ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validMoment[6] = false;
if( std::fabs( moment[7] - SphericalMonomial_7( my, phi ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validMoment[7] = false;
if( std::fabs( moment[8] - SphericalMonomial_8( my, phi ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validMoment[8] = false;
if( std::fabs( moment[9] - SphericalMonomial_9( my, phi ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validMoment[8] = false;
}
}
REQUIRE( std::all_of( validMoment.begin(), validMoment.end(), []( bool v ) { return v; } ) );
}
SphericalMonomials testBase2D( maxMomentDegree, 2 );
SECTION( "Test Global Indexing Dim 2" ) {
bool currDimRight = true;
if( testBase2D.GetCurrDegreeSize( 0 ) != 1 ) currDimRight = false;
if( testBase2D.GetCurrDegreeSize( 1 ) != 2 ) currDimRight = false;
if( testBase2D.GetCurrDegreeSize( 2 ) != 3 ) currDimRight = false;
REQUIRE( currDimRight );
bool indexingRight = true;
if( testBase2D.GetGlobalIndexBasis( 0, 0 ) != 0 ) indexingRight = false;
if( testBase2D.GetGlobalIndexBasis( 1, 0 ) != 1 ) indexingRight = false;
if( testBase2D.GetGlobalIndexBasis( 1, 1 ) != 2 ) indexingRight = false;
if( testBase2D.GetGlobalIndexBasis( 2, 0 ) != 3 ) indexingRight = false;
if( testBase2D.GetGlobalIndexBasis( 2, 1 ) != 4 ) indexingRight = false;
if( testBase2D.GetGlobalIndexBasis( 2, 2 ) != 5 ) indexingRight = false;
REQUIRE( indexingRight );
}
SECTION( "Test against analytical solution Dim 2" ) {
Vector moment;
std::vector<bool> validMoment( 6, true );
for( double my = -1.0; my < 1.0; my += 0.1 ) {
for( double phi = 0.0; phi < 2 * M_PI; phi += 0.1 ) {
moment = testBase2D.ComputeSphericalBasis( my, phi );
if( std::fabs( moment[0] - SphericalMonomial_0( my, phi ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validMoment[0] = false;
if( std::fabs( moment[1] - SphericalMonomial_2( my, phi ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validMoment[1] = false;
if( std::fabs( moment[2] - SphericalMonomial_3( my, phi ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validMoment[2] = false;
if( std::fabs( moment[3] - SphericalMonomial_6( my, phi ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validMoment[3] = false;
if( std::fabs( moment[4] - SphericalMonomial_8( my, phi ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validMoment[4] = false;
if( std::fabs( moment[5] - SphericalMonomial_9( my, phi ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validMoment[5] = false;
}
}
REQUIRE( std::all_of( validMoment.begin(), validMoment.end(), []( bool v ) { return v; } ) );
}
SphericalMonomials testBase1D( maxMomentDegree, 1 );
SECTION( "Test Global Indexing Dim 1" ) {
bool currDimRight = true;
if( testBase1D.GetCurrDegreeSize( 0 ) != 1 ) currDimRight = false;
if( testBase1D.GetCurrDegreeSize( 1 ) != 1 ) currDimRight = false;
if( testBase1D.GetCurrDegreeSize( 2 ) != 1 ) currDimRight = false;
REQUIRE( currDimRight );
bool indexingRight = true;
if( testBase1D.GetGlobalIndexBasis( 0, 0 ) != 0 ) indexingRight = false;
if( testBase1D.GetGlobalIndexBasis( 1, 0 ) != 1 ) indexingRight = false;
if( testBase1D.GetGlobalIndexBasis( 2, 0 ) != 2 ) indexingRight = false;
REQUIRE( indexingRight );
}
SECTION( "Test against analytical solution Dim 1" ) {
Vector moment;
std::vector<bool> validMoment( 3, true );
for( double my = -1.0; my < 1.0; my += 0.1 ) {
for( double phi = 0.0; phi < 2 * M_PI; phi += 0.1 ) {
moment = testBase1D.ComputeSphericalBasis( my, phi );
if( std::fabs( moment[0] - SphericalMonomial_0( my, phi ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validMoment[0] = false;
if( std::fabs( moment[1] - SphericalMonomial_3( my, phi ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validMoment[1] = false;
if( std::fabs( moment[2] - SphericalMonomial_9( my, phi ) ) > 1e2 * std::numeric_limits<double>::epsilon() ) validMoment[2] = false;
}
}
REQUIRE( std::all_of( validMoment.begin(), validMoment.end(), []( bool v ) { return v; } ) );
}
}
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