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29 lines
846 B
29 lines
846 B
1 year ago
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#include <test_common.h>
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#include <igl/grad.h>
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#include <igl/triangulated_grid.h>
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#include <igl/edge_lengths.h>
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#include <igl/cotmatrix.h>
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#include <igl/doublearea.h>
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#include <igl/EPS.h>
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TEST_CASE("grad: laplace_grid", "[igl]")
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{
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Eigen::MatrixXd V2;
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Eigen::MatrixXi F;
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igl::triangulated_grid(3,3,V2,F);
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Eigen::MatrixXd V = Eigen::MatrixXd::Zero(V2.rows(),3);
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V.topLeftCorner(V2.rows(),2) = V2;
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V.col(2) = V.col(1).array() * V.col(0).array() + V.col(1).array();
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Eigen::SparseMatrix<double> L;
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igl::cotmatrix(V,F,L);
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Eigen::SparseMatrix<double> G;
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igl::grad(V,F,G);
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Eigen::VectorXd dblA;
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igl::doublearea(V,F,dblA);
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Eigen::SparseMatrix<double> GTAG =
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G.transpose() * (dblA.colwise().replicate(3).asDiagonal()) * G;
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test_common::assert_near(
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Eigen::MatrixXd(L),Eigen::MatrixXd(-0.5*GTAG),igl::EPS<double>());
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}
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