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63 lines
2.1 KiB
63 lines
2.1 KiB
1 year ago
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#include <test_common.h>
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#include <igl/avg_edge_length.h>
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#include <iostream>
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TEST_CASE("avg_edge_length: cube", "[igl]")
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{
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//The allowed error for this test
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const double epsilon = 1e-15;
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Eigen::MatrixXd V;
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Eigen::MatrixXi F;
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//This is a cube of dimensions 1.0x1.0x1.0
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igl::read_triangle_mesh(test_common::data_path("cube.obj"), V, F);
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//Create scaled versions of the cube
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double scale = 1.0;
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double huge_scale = 1.0e8;
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double tiny_scale = 1.0e-8;
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Eigen::MatrixXd V_huge = V * huge_scale;
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Eigen::MatrixXd V_tiny = V * tiny_scale;
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//Prepare another mesh with triangles along side diagonals of the cube
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//These triangles are form a regular tetrahedron of side sqrt(2)
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Eigen::MatrixXi F_tet(4,3);
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F_tet << 4,6,1,
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6,4,3,
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4,1,3,
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1,6,3;
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//1. Check avg_edge_length function
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double side_sq = 1.0; //squared lenght of a side
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double diag_sq = 2.0; //squared lenght of a diagonal
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double avg;
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avg = igl::avg_edge_length(V,F);
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REQUIRE (avg == Approx ((12.*sqrt(side_sq) + 6.*sqrt(diag_sq))/(12.+6.)).margin( epsilon));
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//Check the regular tetrahedron
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avg = igl::avg_edge_length(V,F_tet);
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REQUIRE (avg == Approx (sqrt(diag_sq)).margin( epsilon));
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//Scale the cube to have huge sides
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side_sq = huge_scale * huge_scale; //squared lenght of a side
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diag_sq = 2.0 * side_sq; //squared lenght of a diagonal
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avg = igl::avg_edge_length(V_huge,F);
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REQUIRE (avg == Approx ((12.*sqrt(side_sq) + 6.*sqrt(diag_sq))/(12.+6.)).margin( epsilon*huge_scale));
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//Check the equilateral triangles
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avg = igl::avg_edge_length(V_huge,F_tet);
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REQUIRE (avg == Approx (sqrt(diag_sq)).margin( epsilon*huge_scale));
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//Scale the cube to have tiny sides
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side_sq = tiny_scale * tiny_scale; //squared lenght of a side
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diag_sq = 2.0 * side_sq; //squared lenght of a diagonal
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avg = igl::avg_edge_length(V_tiny,F);
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REQUIRE (avg == Approx ((12.*sqrt(side_sq) + 6.*sqrt(diag_sq))/(12.+6.)).margin( epsilon*tiny_scale));
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//Check the regular tetrahedron
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avg = igl::avg_edge_length(V_tiny,F_tet);
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REQUIRE (avg == Approx (sqrt(diag_sq)).margin( epsilon*tiny_scale));
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}
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