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#include <test_common.h>
#include <igl/icosahedron.h>
#include <igl/doublearea.h>
TEST_CASE("icosahedron: simple", "[igl]")
{
Eigen::MatrixXi F(2,3);
F << 0,1,2,
1,2,3;
Eigen::MatrixXd V;
igl::icosahedron(V,F);
REQUIRE(V.rows() == 12);
REQUIRE(V.cols() == 3);
REQUIRE(F.rows() == 20);
REQUIRE(F.cols() == 3);
REQUIRE(((V.rowwise().squaredNorm().array() - 1.0).abs()<1e-15).all());
Eigen::VectorXd A;
igl::doublearea(V,F,A);
const auto std_dev = [](const Eigen::ArrayXd & vec){ return std::sqrt((vec - vec.mean()).square().sum()/(vec.size()-1));};
REQUIRE(std_dev(A.array()) < 1e-15);
}