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FTCS test
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src/FTCS.cpp
41
src/FTCS.cpp
@ -14,9 +14,9 @@ using namespace std;
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// calculates arithmetic or harmonic mean of alpha between two cells
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double calcAlphaIntercell(double &alpha1, double &alpha2, bool useHarmonic = true) {
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static double calcAlphaIntercell(double &alpha1, double &alpha2, bool useHarmonic = true) {
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if (useHarmonic) {
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return 2 / ((1/alpha1) + (1/alpha2));
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return double(2) / ((double(1)/alpha1) + (double(1)/alpha2));
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} else {
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return 0.5 * (alpha1 + alpha2);
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}
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@ -24,7 +24,7 @@ double calcAlphaIntercell(double &alpha1, double &alpha2, bool useHarmonic = tru
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// calculates horizontal change on one cell independent of boundary type
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double calcHorizontalChange(Grid &grid, int &row, int &col) {
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static double calcHorizontalChange(Grid &grid, int &row, int &col) {
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double result =
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calcAlphaIntercell(grid.getAlphaX()(row,col+1), grid.getAlphaX()(row,col))
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@ -42,7 +42,7 @@ double calcHorizontalChange(Grid &grid, int &row, int &col) {
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// calculates vertical change on one cell independent of boundary type
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double calcVerticalChange(Grid &grid, int &row, int &col) {
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static double calcVerticalChange(Grid &grid, int &row, int &col) {
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double result =
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calcAlphaIntercell(grid.getAlphaY()(row+1,col), grid.getAlphaY()(row,col))
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@ -60,7 +60,7 @@ double calcVerticalChange(Grid &grid, int &row, int &col) {
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// calculates horizontal change on one cell with a constant left boundary
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double calcHorizontalChangeLeftBoundaryConstant(Grid &grid, Boundary &bc, int &row, int &col) {
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static double calcHorizontalChangeLeftBoundaryConstant(Grid &grid, Boundary &bc, int &row, int &col) {
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double result =
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calcAlphaIntercell(grid.getAlphaX()(row,col+1), grid.getAlphaX()(row,col))
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@ -77,7 +77,7 @@ double calcHorizontalChangeLeftBoundaryConstant(Grid &grid, Boundary &bc, int &r
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// calculates horizontal change on one cell with a closed left boundary
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double calcHorizontalChangeLeftBoundaryClosed(Grid &grid, int &row, int &col) {
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static double calcHorizontalChangeLeftBoundaryClosed(Grid &grid, int &row, int &col) {
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double result =
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calcAlphaIntercell(grid.getAlphaX()(row, col+1), grid.getAlphaX()(row, col))
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@ -88,7 +88,7 @@ double calcHorizontalChangeLeftBoundaryClosed(Grid &grid, int &row, int &col) {
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// checks boundary condition type for a cell on the left edge of grid
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double calcHorizontalChangeLeftBoundary(Grid &grid, Boundary &bc, int &row, int &col) {
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static double calcHorizontalChangeLeftBoundary(Grid &grid, Boundary &bc, int &row, int &col) {
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if (bc.getBoundaryElementType(BC_SIDE_LEFT, col) == BC_TYPE_CONSTANT) {
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return calcHorizontalChangeLeftBoundaryConstant(grid, bc, row, col);
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} else if (bc.getBoundaryElementType(BC_SIDE_LEFT, col) == BC_TYPE_CLOSED) {
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@ -100,7 +100,7 @@ double calcHorizontalChangeLeftBoundary(Grid &grid, Boundary &bc, int &row, int
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// calculates horizontal change on one cell with a constant right boundary
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double calcHorizontalChangeRightBoundaryConstant(Grid &grid, Boundary &bc, int &row, int &col) {
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static double calcHorizontalChangeRightBoundaryConstant(Grid &grid, Boundary &bc, int &row, int &col) {
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double result =
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2 * grid.getAlphaX()(row,col) * bc.getBoundaryElementValue(BC_SIDE_RIGHT, row)
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@ -117,7 +117,7 @@ double calcHorizontalChangeRightBoundaryConstant(Grid &grid, Boundary &bc, int &
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// calculates horizontal change on one cell with a closed right boundary
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double calcHorizontalChangeRightBoundaryClosed(Grid &grid, int &row, int &col) {
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static double calcHorizontalChangeRightBoundaryClosed(Grid &grid, int &row, int &col) {
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double result =
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- (calcAlphaIntercell(grid.getAlphaX()(row, col-1), grid.getAlphaX()(row, col))
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@ -128,7 +128,7 @@ double calcHorizontalChangeRightBoundaryClosed(Grid &grid, int &row, int &col) {
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// checks boundary condition type for a cell on the right edge of grid
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double calcHorizontalChangeRightBoundary(Grid &grid, Boundary &bc, int &row, int &col) {
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static double calcHorizontalChangeRightBoundary(Grid &grid, Boundary &bc, int &row, int &col) {
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if (bc.getBoundaryElementType(BC_SIDE_RIGHT, col) == BC_TYPE_CONSTANT) {
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return calcHorizontalChangeRightBoundaryConstant(grid, bc, row, col);
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} else if (bc.getBoundaryElementType(BC_SIDE_RIGHT, col) == BC_TYPE_CLOSED) {
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@ -140,7 +140,7 @@ double calcHorizontalChangeRightBoundary(Grid &grid, Boundary &bc, int &row, int
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// calculates vertical change on one cell with a constant top boundary
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double calcVerticalChangeTopBoundaryConstant(Grid &grid, Boundary &bc, int &row, int &col) {
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static double calcVerticalChangeTopBoundaryConstant(Grid &grid, Boundary &bc, int &row, int &col) {
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double result =
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calcAlphaIntercell(grid.getAlphaY()(row+1, col), grid.getAlphaY()(row, col))
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@ -157,7 +157,7 @@ double calcVerticalChangeTopBoundaryConstant(Grid &grid, Boundary &bc, int &row,
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// calculates vertical change on one cell with a closed top boundary
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double calcVerticalChangeTopBoundaryClosed(Grid &grid, int &row, int &col) {
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static double calcVerticalChangeTopBoundaryClosed(Grid &grid, int &row, int &col) {
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double result =
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calcAlphaIntercell(grid.getAlphaY()(row+1, col), grid.getConcentrations()(row, col))
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@ -168,7 +168,7 @@ double calcVerticalChangeTopBoundaryClosed(Grid &grid, int &row, int &col) {
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// checks boundary condition type for a cell on the top edge of grid
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double calcVerticalChangeTopBoundary(Grid &grid, Boundary &bc, int &row, int &col) {
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static double calcVerticalChangeTopBoundary(Grid &grid, Boundary &bc, int &row, int &col) {
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if (bc.getBoundaryElementType(BC_SIDE_TOP, col) == BC_TYPE_CONSTANT) {
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return calcVerticalChangeTopBoundaryConstant(grid, bc, row, col);
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} else if (bc.getBoundaryElementType(BC_SIDE_TOP, col) == BC_TYPE_CLOSED) {
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@ -180,7 +180,7 @@ double calcVerticalChangeTopBoundary(Grid &grid, Boundary &bc, int &row, int &co
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// calculates vertical change on one cell with a constant bottom boundary
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double calcVerticalChangeBottomBoundaryConstant(Grid &grid, Boundary &bc, int &row, int &col) {
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static double calcVerticalChangeBottomBoundaryConstant(Grid &grid, Boundary &bc, int &row, int &col) {
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double result =
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2 * grid.getAlphaY()(row, col) * bc.getBoundaryElementValue(BC_SIDE_BOTTOM, col)
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@ -197,7 +197,7 @@ double calcVerticalChangeBottomBoundaryConstant(Grid &grid, Boundary &bc, int &r
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// calculates vertical change on one cell with a closed bottom boundary
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double calcVerticalChangeBottomBoundaryClosed(Grid &grid, int &row, int &col) {
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static double calcVerticalChangeBottomBoundaryClosed(Grid &grid, int &row, int &col) {
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double result =
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- (calcAlphaIntercell(grid.getAlphaY()(row, col), grid.getAlphaY()(row-1, col))
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@ -208,7 +208,7 @@ double calcVerticalChangeBottomBoundaryClosed(Grid &grid, int &row, int &col) {
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// checks boundary condition type for a cell on the bottom edge of grid
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double calcVerticalChangeBottomBoundary(Grid &grid, Boundary &bc, int &row, int &col) {
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static double calcVerticalChangeBottomBoundary(Grid &grid, Boundary &bc, int &row, int &col) {
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if (bc.getBoundaryElementType(BC_SIDE_BOTTOM, col) == BC_TYPE_CONSTANT) {
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return calcVerticalChangeBottomBoundaryConstant(grid, bc, row, col);
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} else if (bc.getBoundaryElementType(BC_SIDE_BOTTOM, col) == BC_TYPE_CLOSED) {
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@ -220,7 +220,7 @@ double calcVerticalChangeBottomBoundary(Grid &grid, Boundary &bc, int &row, int
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// FTCS solution to 1D grid
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MatrixXd FTCS_1D(Grid &grid, Boundary &bc, double ×tep) {
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static void FTCS_1D(Grid &grid, Boundary &bc, double ×tep) {
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int colMax = grid.getCol();
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double deltaCol = grid.getDeltaCol();
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@ -260,12 +260,13 @@ MatrixXd FTCS_1D(Grid &grid, Boundary &bc, double ×tep) {
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)
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;
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return concentrations_t1;
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// overwrite obsolete concentrations
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grid.setConcentrations(concentrations_t1);
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}
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// FTCS solution to 2D grid
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void FTCS_2D(Grid &grid, Boundary &bc, double ×tep) {
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static void FTCS_2D(Grid &grid, Boundary &bc, double ×tep) {
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int rowMax = grid.getRow();
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int colMax = grid.getCol();
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double deltaRow = grid.getDeltaRow();
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@ -423,7 +424,7 @@ void FTCS_2D(Grid &grid, Boundary &bc, double ×tep) {
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// entry point; differentiate between 1D and 2D grid
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void FTCS(Grid &grid, Boundary &bc, double ×tep) {
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static void FTCS(Grid &grid, Boundary &bc, double ×tep) {
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if (grid.getDim() == 1) {
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FTCS_1D(grid, bc, timestep);
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} else {
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@ -11,7 +11,7 @@ if(NOT DOCTEST_LIB)
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FetchContent_MakeAvailable(DocTest)
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endif()
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add_executable(testTug setup.cpp testSimulation.cpp testGrid.cpp) # testBoundaryCondition.cpp testDiffusion.cpp
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add_executable(testTug setup.cpp testSimulation.cpp testGrid.cpp testFTCS.cpp) # testBoundaryCondition.cpp testDiffusion.cpp
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target_link_libraries(testTug doctest tug)
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# get relative path of the CSV file
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19
test/testFTCS.cpp
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19
test/testFTCS.cpp
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@ -0,0 +1,19 @@
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#include <doctest/doctest.h>
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#include <../src/FTCS.cpp>
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#include <limits>
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TEST_CASE("Maths") {
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SUBCASE("mean between two alphas") {
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double alpha1 = 10;
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double alpha2 = 20;
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double average = 15;
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double harmonicMean = double(2) / ((double(1)/alpha1)+(double(1)/alpha2));
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// double difference = std::fabs(calcAlphaIntercell(alpha1, alpha2) - harmonicMean);
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// CHECK(difference < std::numeric_limits<double>::epsilon());
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CHECK_EQ(calcAlphaIntercell(alpha1, alpha2), harmonicMean);
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CHECK_EQ(calcAlphaIntercell(alpha1, alpha2, false), average);
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}
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}
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