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MeshQuad4.cpp
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Wed, May 15, 22:47

MeshQuad4.cpp
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#include "support.h"
// =================================================================================================
TEST_CASE("GooseFEM::MeshQuad4", "MeshQuad4.h")
{
// =================================================================================================
SECTION("Regular")
{
xt::xtensor<double,2> coor_ = {
{ 0., 0.},
{ 1., 0.},
{ 2., 0.},
{ 3., 0.},
{ 4., 0.},
{ 5., 0.},
{ 0., 1.},
{ 1., 1.},
{ 2., 1.},
{ 3., 1.},
{ 4., 1.},
{ 5., 1.},
{ 0., 2.},
{ 1., 2.},
{ 2., 2.},
{ 3., 2.},
{ 4., 2.},
{ 5., 2.},
{ 0., 3.},
{ 1., 3.},
{ 2., 3.},
{ 3., 3.},
{ 4., 3.},
{ 5., 3.}
};
xt::xtensor<double,2> conn_ = {
{ 0, 1, 7, 6},
{ 1, 2, 8, 7},
{ 2, 3, 9, 8},
{ 3, 4, 10, 9},
{ 4, 5, 11, 10},
{ 6, 7, 13, 12},
{ 7, 8, 14, 13},
{ 8, 9, 15, 14},
{ 9, 10, 16, 15},
{10, 11, 17, 16},
{12, 13, 19, 18},
{13, 14, 20, 19},
{14, 15, 21, 20},
{15, 16, 22, 21},
{16, 17, 23, 22}
};
size_t nelem_ = 15;
size_t nnode_ = 24;
size_t nne_ = 4;
size_t ndim_ = 2;
size_t nnodePeriodic_ = 15;
xt::xtensor<size_t,1> nodesBottomEdge_ = { 0, 1, 2, 3, 4, 5};
xt::xtensor<size_t,1> nodesTopEdge_ = {18, 19, 20, 21, 22, 23};
xt::xtensor<size_t,1> nodesLeftEdge_ = { 0, 6, 12, 18};
xt::xtensor<size_t,1> nodesRightEdge_ = { 5, 11, 17, 23};
xt::xtensor<size_t,1> nodesBottomOpenEdge_ = { 1, 2, 3, 4};
xt::xtensor<size_t,1> nodesTopOpenEdge_ = {19, 20, 21, 22};
xt::xtensor<size_t,1> nodesLeftOpenEdge_ = { 6, 12};
xt::xtensor<size_t,1> nodesRightOpenEdge_ = {11, 17};
size_t nodesBottomLeftCorner_ = 0;
size_t nodesBottomRightCorner_ = 5;
size_t nodesTopLeftCorner_ = 18;
size_t nodesTopRightCorner_ = 23;
size_t nodesLeftBottomCorner_ = 0;
size_t nodesLeftTopCorner_ = 18;
size_t nodesRightBottomCorner_ = 5;
size_t nodesRightTopCorner_ = 23;
xt::xtensor<size_t,2> dofs_ = {
{ 0, 1},
{ 2, 3},
{ 4, 5},
{ 6, 7},
{ 8, 9},
{10, 11},
{12, 13},
{14, 15},
{16, 17},
{18, 19},
{20, 21},
{22, 23},
{24, 25},
{26, 27},
{28, 29},
{30, 31},
{32, 33},
{34, 35},
{36, 37},
{38, 39},
{40, 41},
{42, 43},
{44, 45},
{46, 47}
};
xt::xtensor<size_t,2> nodesPeriodic_ = {
{ 0, 5},
{ 0, 23},
{ 0, 18},
{ 1, 19},
{ 2, 20},
{ 3, 21},
{ 4, 22},
{ 6, 11},
{12, 17}
};
size_t nodesOrigin_ = 0;
xt::xtensor<size_t,2> dofsPeriodic_ = {
{ 0, 1},
{ 2, 3},
{ 4, 5},
{ 6, 7},
{ 8, 9},
{ 0, 1},
{10, 11},
{12, 13},
{14, 15},
{16, 17},
{18, 19},
{10, 11},
{20, 21},
{22, 23},
{24, 25},
{26, 27},
{28, 29},
{20, 21},
{ 0, 1},
{ 2, 3},
{ 4, 5},
{ 6, 7},
{ 8, 9},
{ 0, 1}
};
GooseFEM::Mesh::Quad4::Regular mesh(5, 3);
xt::xtensor<double,2> coor = mesh.coor();
xt::xtensor<size_t,2> conn = mesh.conn();
size_t nelem = mesh.nelem();
size_t nnode = mesh.nnode();
size_t nne = mesh.nne();
size_t ndim = mesh.ndim();
size_t nnodePeriodic = mesh.nnode() - mesh.nodesPeriodic().shape(0);
xt::xtensor<size_t,1> nodesBottomEdge = mesh.nodesBottomEdge();
xt::xtensor<size_t,1> nodesTopEdge = mesh.nodesTopEdge();
xt::xtensor<size_t,1> nodesLeftEdge = mesh.nodesLeftEdge();
xt::xtensor<size_t,1> nodesRightEdge = mesh.nodesRightEdge();
xt::xtensor<size_t,1> nodesBottomOpenEdge = mesh.nodesBottomOpenEdge();
xt::xtensor<size_t,1> nodesTopOpenEdge = mesh.nodesTopOpenEdge();
xt::xtensor<size_t,1> nodesLeftOpenEdge = mesh.nodesLeftOpenEdge();
xt::xtensor<size_t,1> nodesRightOpenEdge = mesh.nodesRightOpenEdge();
size_t nodesBottomLeftCorner = mesh.nodesBottomLeftCorner();
size_t nodesBottomRightCorner = mesh.nodesBottomRightCorner();
size_t nodesTopLeftCorner = mesh.nodesTopLeftCorner();
size_t nodesTopRightCorner = mesh.nodesTopRightCorner();
size_t nodesLeftBottomCorner = mesh.nodesLeftBottomCorner();
size_t nodesLeftTopCorner = mesh.nodesLeftTopCorner();
size_t nodesRightBottomCorner = mesh.nodesRightBottomCorner();
size_t nodesRightTopCorner = mesh.nodesRightTopCorner();
xt::xtensor<size_t,2> dofs = mesh.dofs();
xt::xtensor<size_t,2> nodesPeriodic = mesh.nodesPeriodic();
size_t nodesOrigin = mesh.nodesOrigin();
xt::xtensor<size_t,2> dofsPeriodic = mesh.dofsPeriodic();
REQUIRE(nelem == nelem_ );
REQUIRE(nnode == nnode_ );
REQUIRE(nne == nne_ );
REQUIRE(ndim == ndim_ );
REQUIRE(nnodePeriodic == nnodePeriodic_ );
REQUIRE(nodesBottomLeftCorner == nodesBottomLeftCorner_ );
REQUIRE(nodesBottomRightCorner == nodesBottomRightCorner_ );
REQUIRE(nodesTopLeftCorner == nodesTopLeftCorner_ );
REQUIRE(nodesTopRightCorner == nodesTopRightCorner_ );
REQUIRE(nodesLeftBottomCorner == nodesLeftBottomCorner_ );
REQUIRE(nodesLeftTopCorner == nodesLeftTopCorner_ );
REQUIRE(nodesRightBottomCorner == nodesRightBottomCorner_ );
REQUIRE(nodesRightTopCorner == nodesRightTopCorner_ );
REQUIRE(nodesOrigin == nodesOrigin_ );
REQUIRE(xt::allclose(coor, coor_));
REQUIRE(xt::all(xt::equal(conn , conn_ )));
REQUIRE(xt::all(xt::equal(nodesBottomEdge , nodesBottomEdge_ )));
REQUIRE(xt::all(xt::equal(nodesTopEdge , nodesTopEdge_ )));
REQUIRE(xt::all(xt::equal(nodesLeftEdge , nodesLeftEdge_ )));
REQUIRE(xt::all(xt::equal(nodesRightEdge , nodesRightEdge_ )));
REQUIRE(xt::all(xt::equal(nodesBottomOpenEdge, nodesBottomOpenEdge_)));
REQUIRE(xt::all(xt::equal(nodesTopOpenEdge , nodesTopOpenEdge_ )));
REQUIRE(xt::all(xt::equal(nodesLeftOpenEdge , nodesLeftOpenEdge_ )));
REQUIRE(xt::all(xt::equal(nodesRightOpenEdge , nodesRightOpenEdge_ )));
REQUIRE(xt::all(xt::equal(nodesPeriodic , nodesPeriodic_ )));
REQUIRE(xt::all(xt::equal(dofsPeriodic , dofsPeriodic_ )));
}
// =================================================================================================
SECTION("FineLayer")
{
xt::xtensor<double,2> coor_ = {
{ 0., 0.},
{ 3., 0.},
{ 6., 0.},
{ 9., 0.},
{ 0., 3.},
{ 3., 3.},
{ 6., 3.},
{ 9., 3.},
{ 0., 6.},
{ 3., 6.},
{ 6., 6.},
{ 9., 6.},
{ 1., 7.},
{ 2., 7.},
{ 4., 7.},
{ 5., 7.},
{ 7., 7.},
{ 8., 7.},
{ 0., 8.},
{ 1., 8.},
{ 2., 8.},
{ 3., 8.},
{ 4., 8.},
{ 5., 8.},
{ 6., 8.},
{ 7., 8.},
{ 8., 8.},
{ 9., 8.},
{ 0., 9.},
{ 1., 9.},
{ 2., 9.},
{ 3., 9.},
{ 4., 9.},
{ 5., 9.},
{ 6., 9.},
{ 7., 9.},
{ 8., 9.},
{ 9., 9.},
{ 0., 10.},
{ 1., 10.},
{ 2., 10.},
{ 3., 10.},
{ 4., 10.},
{ 5., 10.},
{ 6., 10.},
{ 7., 10.},
{ 8., 10.},
{ 9., 10.},
{ 0., 11.},
{ 1., 11.},
{ 2., 11.},
{ 3., 11.},
{ 4., 11.},
{ 5., 11.},
{ 6., 11.},
{ 7., 11.},
{ 8., 11.},
{ 9., 11.},
{ 0., 12.},
{ 1., 12.},
{ 2., 12.},
{ 3., 12.},
{ 4., 12.},
{ 5., 12.},
{ 6., 12.},
{ 7., 12.},
{ 8., 12.},
{ 9., 12.},
{ 0., 13.},
{ 1., 13.},
{ 2., 13.},
{ 3., 13.},
{ 4., 13.},
{ 5., 13.},
{ 6., 13.},
{ 7., 13.},
{ 8., 13.},
{ 9., 13.},
{ 1., 14.},
{ 2., 14.},
{ 4., 14.},
{ 5., 14.},
{ 7., 14.},
{ 8., 14.},
{ 0., 15.},
{ 3., 15.},
{ 6., 15.},
{ 9., 15.},
{ 0., 18.},
{ 3., 18.},
{ 6., 18.},
{ 9., 18.},
{ 0., 21.},
{ 3., 21.},
{ 6., 21.},
{ 9., 21.}
};
xt::xtensor<double,2> conn_ = {
{ 0, 1, 5, 4},
{ 1, 2, 6, 5},
{ 2, 3, 7, 6},
{ 4, 5, 9, 8},
{ 5, 6, 10, 9},
{ 6, 7, 11, 10},
{ 8, 9, 13, 12},
{ 9, 21, 20, 13},
{12, 13, 20, 19},
{ 8, 12, 19, 18},
{ 9, 10, 15, 14},
{10, 24, 23, 15},
{14, 15, 23, 22},
{ 9, 14, 22, 21},
{10, 11, 17, 16},
{11, 27, 26, 17},
{16, 17, 26, 25},
{10, 16, 25, 24},
{18, 19, 29, 28},
{19, 20, 30, 29},
{20, 21, 31, 30},
{21, 22, 32, 31},
{22, 23, 33, 32},
{23, 24, 34, 33},
{24, 25, 35, 34},
{25, 26, 36, 35},
{26, 27, 37, 36},
{28, 29, 39, 38},
{29, 30, 40, 39},
{30, 31, 41, 40},
{31, 32, 42, 41},
{32, 33, 43, 42},
{33, 34, 44, 43},
{34, 35, 45, 44},
{35, 36, 46, 45},
{36, 37, 47, 46},
{38, 39, 49, 48},
{39, 40, 50, 49},
{40, 41, 51, 50},
{41, 42, 52, 51},
{42, 43, 53, 52},
{43, 44, 54, 53},
{44, 45, 55, 54},
{45, 46, 56, 55},
{46, 47, 57, 56},
{48, 49, 59, 58},
{49, 50, 60, 59},
{50, 51, 61, 60},
{51, 52, 62, 61},
{52, 53, 63, 62},
{53, 54, 64, 63},
{54, 55, 65, 64},
{55, 56, 66, 65},
{56, 57, 67, 66},
{58, 59, 69, 68},
{59, 60, 70, 69},
{60, 61, 71, 70},
{61, 62, 72, 71},
{62, 63, 73, 72},
{63, 64, 74, 73},
{64, 65, 75, 74},
{65, 66, 76, 75},
{66, 67, 77, 76},
{68, 69, 78, 84},
{69, 70, 79, 78},
{70, 71, 85, 79},
{78, 79, 85, 84},
{71, 72, 80, 85},
{72, 73, 81, 80},
{73, 74, 86, 81},
{80, 81, 86, 85},
{74, 75, 82, 86},
{75, 76, 83, 82},
{76, 77, 87, 83},
{82, 83, 87, 86},
{84, 85, 89, 88},
{85, 86, 90, 89},
{86, 87, 91, 90},
{88, 89, 93, 92},
{89, 90, 94, 93},
{90, 91, 95, 94}
};
size_t nelem_ = 81;
size_t nnode_ = 96;
size_t nne_ = 4;
size_t ndim_ = 2;
size_t shape_x_ = 9;
size_t shape_y_ = 21;
xt::xtensor<size_t,1> elementsMiddleLayer_ = {36, 37, 38, 39, 40, 41, 42, 43, 44};
xt::xtensor<size_t,1> nodesBottomEdge_ = { 0, 1, 2, 3};
xt::xtensor<size_t,1> nodesTopEdge_ = {92, 93, 94, 95};
xt::xtensor<size_t,1> nodesLeftEdge_ = { 0, 4, 8, 18, 28, 38, 48, 58, 68, 84, 88, 92};
xt::xtensor<size_t,1> nodesRightEdge_ = { 3, 7, 11, 27, 37, 47, 57, 67, 77, 87, 91, 95};
xt::xtensor<size_t,1> nodesBottomOpenEdge_ = { 1, 2};
xt::xtensor<size_t,1> nodesTopOpenEdge_ = {93, 94};
xt::xtensor<size_t,1> nodesLeftOpenEdge_ = { 4, 8, 18, 28, 38, 48, 58, 68, 84, 88};
xt::xtensor<size_t,1> nodesRightOpenEdge_ = { 7, 11, 27, 37, 47, 57, 67, 77, 87, 91};
size_t nodesBottomLeftCorner_ = 0;
size_t nodesBottomRightCorner_ = 3;
size_t nodesTopLeftCorner_ = 92;
size_t nodesTopRightCorner_ = 95;
size_t nodesLeftBottomCorner_ = 0;
size_t nodesLeftTopCorner_ = 92;
size_t nodesRightBottomCorner_ = 3;
size_t nodesRightTopCorner_ = 95;
xt::xtensor<size_t,2> dofs_ = {
{ 0, 1},
{ 2, 3},
{ 4, 5},
{ 6, 7},
{ 8, 9},
{ 10, 11},
{ 12, 13},
{ 14, 15},
{ 16, 17},
{ 18, 19},
{ 20, 21},
{ 22, 23},
{ 24, 25},
{ 26, 27},
{ 28, 29},
{ 30, 31},
{ 32, 33},
{ 34, 35},
{ 36, 37},
{ 38, 39},
{ 40, 41},
{ 42, 43},
{ 44, 45},
{ 46, 47},
{ 48, 49},
{ 50, 51},
{ 52, 53},
{ 54, 55},
{ 56, 57},
{ 58, 59},
{ 60, 61},
{ 62, 63},
{ 64, 65},
{ 66, 67},
{ 68, 69},
{ 70, 71},
{ 72, 73},
{ 74, 75},
{ 76, 77},
{ 78, 79},
{ 80, 81},
{ 82, 83},
{ 84, 85},
{ 86, 87},
{ 88, 89},
{ 90, 91},
{ 92, 93},
{ 94, 95},
{ 96, 97},
{ 98, 99},
{100, 101},
{102, 103},
{104, 105},
{106, 107},
{108, 109},
{110, 111},
{112, 113},
{114, 115},
{116, 117},
{118, 119},
{120, 121},
{122, 123},
{124, 125},
{126, 127},
{128, 129},
{130, 131},
{132, 133},
{134, 135},
{136, 137},
{138, 139},
{140, 141},
{142, 143},
{144, 145},
{146, 147},
{148, 149},
{150, 151},
{152, 153},
{154, 155},
{156, 157},
{158, 159},
{160, 161},
{162, 163},
{164, 165},
{166, 167},
{168, 169},
{170, 171},
{172, 173},
{174, 175},
{176, 177},
{178, 179},
{180, 181},
{182, 183},
{184, 185},
{186, 187},
{188, 189},
{190, 191}
};
xt::xtensor<size_t,2> nodesPeriodic_ = {
{ 0, 3},
{ 0, 95},
{ 0, 92},
{ 1, 93},
{ 2, 94},
{ 4, 7},
{ 8, 11},
{18, 27},
{28, 37},
{38, 47},
{48, 57},
{58, 67},
{68, 77},
{84, 87},
{88, 91}
};
size_t nodesOrigin_ = 0;
xt::xtensor<size_t,2> dofsPeriodic_ = {
{ 0, 1},
{ 2, 3},
{ 4, 5},
{ 0, 1},
{ 6, 7},
{ 8, 9},
{ 10, 11},
{ 6, 7},
{ 12, 13},
{ 14, 15},
{ 16, 17},
{ 12, 13},
{ 18, 19},
{ 20, 21},
{ 22, 23},
{ 24, 25},
{ 26, 27},
{ 28, 29},
{ 30, 31},
{ 32, 33},
{ 34, 35},
{ 36, 37},
{ 38, 39},
{ 40, 41},
{ 42, 43},
{ 44, 45},
{ 46, 47},
{ 30, 31},
{ 48, 49},
{ 50, 51},
{ 52, 53},
{ 54, 55},
{ 56, 57},
{ 58, 59},
{ 60, 61},
{ 62, 63},
{ 64, 65},
{ 48, 49},
{ 66, 67},
{ 68, 69},
{ 70, 71},
{ 72, 73},
{ 74, 75},
{ 76, 77},
{ 78, 79},
{ 80, 81},
{ 82, 83},
{ 66, 67},
{ 84, 85},
{ 86, 87},
{ 88, 89},
{ 90, 91},
{ 92, 93},
{ 94, 95},
{ 96, 97},
{ 98, 99},
{100, 101},
{ 84, 85},
{102, 103},
{104, 105},
{106, 107},
{108, 109},
{110, 111},
{112, 113},
{114, 115},
{116, 117},
{118, 119},
{102, 103},
{120, 121},
{122, 123},
{124, 125},
{126, 127},
{128, 129},
{130, 131},
{132, 133},
{134, 135},
{136, 137},
{120, 121},
{138, 139},
{140, 141},
{142, 143},
{144, 145},
{146, 147},
{148, 149},
{150, 151},
{152, 153},
{154, 155},
{150, 151},
{156, 157},
{158, 159},
{160, 161},
{156, 157},
{ 0, 1},
{ 2, 3},
{ 4, 5},
{ 0, 1}
};
GooseFEM::Mesh::Quad4::FineLayer mesh(9,18);
xt::xtensor<double,2> coor = mesh.coor();
xt::xtensor<size_t,2> conn = mesh.conn();
size_t nelem = mesh.nelem();
size_t nnode = mesh.nnode();
size_t nne = mesh.nne();
size_t ndim = mesh.ndim();
size_t shape_x = mesh.nelx();
size_t shape_y = mesh.nely();
xt::xtensor<size_t,1> elementsMiddleLayer = mesh.elementsMiddleLayer();
xt::xtensor<size_t,1> nodesBottomEdge = mesh.nodesBottomEdge();
xt::xtensor<size_t,1> nodesTopEdge = mesh.nodesTopEdge();
xt::xtensor<size_t,1> nodesLeftEdge = mesh.nodesLeftEdge();
xt::xtensor<size_t,1> nodesRightEdge = mesh.nodesRightEdge();
xt::xtensor<size_t,1> nodesBottomOpenEdge = mesh.nodesBottomOpenEdge();
xt::xtensor<size_t,1> nodesTopOpenEdge = mesh.nodesTopOpenEdge();
xt::xtensor<size_t,1> nodesLeftOpenEdge = mesh.nodesLeftOpenEdge();
xt::xtensor<size_t,1> nodesRightOpenEdge = mesh.nodesRightOpenEdge();
size_t nodesBottomLeftCorner = mesh.nodesBottomLeftCorner();
size_t nodesBottomRightCorner = mesh.nodesBottomRightCorner();
size_t nodesTopLeftCorner = mesh.nodesTopLeftCorner();
size_t nodesTopRightCorner = mesh.nodesTopRightCorner();
size_t nodesLeftBottomCorner = mesh.nodesLeftBottomCorner();
size_t nodesLeftTopCorner = mesh.nodesLeftTopCorner();
size_t nodesRightBottomCorner = mesh.nodesRightBottomCorner();
size_t nodesRightTopCorner = mesh.nodesRightTopCorner();
xt::xtensor<size_t,2> dofs = mesh.dofs();
xt::xtensor<size_t,2> nodesPeriodic = mesh.nodesPeriodic();
size_t nodesOrigin = mesh.nodesOrigin();
xt::xtensor<size_t,2> dofsPeriodic = mesh.dofsPeriodic();
REQUIRE(nelem == nelem_ );
REQUIRE(nnode == nnode_ );
REQUIRE(nne == nne_ );
REQUIRE(ndim == ndim_ );
REQUIRE(shape_x == shape_x_ );
REQUIRE(shape_y == shape_y_ );
REQUIRE(nodesBottomLeftCorner == nodesBottomLeftCorner_ );
REQUIRE(nodesBottomRightCorner == nodesBottomRightCorner_ );
REQUIRE(nodesTopLeftCorner == nodesTopLeftCorner_ );
REQUIRE(nodesTopRightCorner == nodesTopRightCorner_ );
REQUIRE(nodesLeftBottomCorner == nodesLeftBottomCorner_ );
REQUIRE(nodesLeftTopCorner == nodesLeftTopCorner_ );
REQUIRE(nodesRightBottomCorner == nodesRightBottomCorner_ );
REQUIRE(nodesRightTopCorner == nodesRightTopCorner_ );
REQUIRE(nodesOrigin == nodesOrigin_ );
REQUIRE(xt::allclose(coor, coor_));
REQUIRE(xt::all(xt::equal(elementsMiddleLayer, elementsMiddleLayer_)));
REQUIRE(xt::all(xt::equal(conn , conn_ )));
REQUIRE(xt::all(xt::equal(nodesBottomEdge , nodesBottomEdge_ )));
REQUIRE(xt::all(xt::equal(nodesTopEdge , nodesTopEdge_ )));
REQUIRE(xt::all(xt::equal(nodesLeftEdge , nodesLeftEdge_ )));
REQUIRE(xt::all(xt::equal(nodesRightEdge , nodesRightEdge_ )));
REQUIRE(xt::all(xt::equal(nodesBottomOpenEdge, nodesBottomOpenEdge_)));
REQUIRE(xt::all(xt::equal(nodesTopOpenEdge , nodesTopOpenEdge_ )));
REQUIRE(xt::all(xt::equal(nodesLeftOpenEdge , nodesLeftOpenEdge_ )));
REQUIRE(xt::all(xt::equal(nodesRightOpenEdge , nodesRightOpenEdge_ )));
REQUIRE(xt::all(xt::equal(nodesPeriodic , nodesPeriodic_ )));
REQUIRE(xt::all(xt::equal(dofsPeriodic , dofsPeriodic_ )));
}
// =================================================================================================
SECTION("Map::RefineRegular")
{
GooseFEM::Mesh::Quad4::Regular mesh(5, 4);
GooseFEM::Mesh::Quad4::Map::RefineRegular refine(mesh, 5, 3);
xt::xtensor<double,1> a = xt::random::rand<double>({mesh.nelem()});
auto a_ = refine.mapToCoarse(refine.mapToFine(a));
REQUIRE(xt::allclose(a, xt::mean(a_, {1})));
xt::xtensor<double,2> b = xt::random::rand<double>({mesh.nelem(), 1ul});
auto b_ = refine.mapToCoarse(refine.mapToFine(b));
REQUIRE(xt::allclose(xt::mean(b, {1}), xt::mean(b_, {1})));
xt::xtensor<double,4> c = xt::random::rand<double>({mesh.nelem(), 1ul, 3ul, 3ul});
auto c_ = refine.mapToCoarse(refine.mapToFine(c));
REQUIRE(xt::allclose(xt::mean(c, {1}), xt::mean(c_, {1})));
}
// =================================================================================================
SECTION("Map::FineLayer2Regular")
{
GooseFEM::Mesh::Quad4::FineLayer mesh(5, 5);
GooseFEM::Mesh::Quad4::Map::FineLayer2Regular map(mesh);
xt::xtensor<double,1> a = xt::random::rand<double>({mesh.nelem()});
auto a_ = map.mapToRegular(a);
REQUIRE(xt::allclose(a, a_));
xt::xtensor<double,2> b = xt::random::rand<double>({mesh.nelem(), 4ul});
auto b_ = map.mapToRegular(b);
REQUIRE(xt::allclose(b, b_));
xt::xtensor<double,4> c = xt::random::rand<double>({mesh.nelem(), 4ul, 3ul, 3ul});
auto c_ = map.mapToRegular(c);
REQUIRE(xt::allclose(c, c_));
}
// =================================================================================================
}

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