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65 lines
3.5 KiB
65 lines
3.5 KiB
#pragma once
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#include <utils/fwd_types.hpp>
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// extract iso-mesh (topology only)
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ISNP_API void extract_iso_mesh(uint32_t num_1_func,
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uint32_t num_2_func,
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uint32_t num_more_func,
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const stl_vector_mp<std::optional<arrangement_t>>& cut_results,
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const stl_vector_mp<uint32_t>& func_in_tet,
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const stl_vector_mp<uint32_t>& start_index_of_tet,
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const tetrahedron_mesh_t& background_mesh,
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const stl_vector_mp<stl_vector_mp<double>>& func_vals,
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stl_vector_mp<raw_point_t>& iso_pts,
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stl_vector_mp<iso_vertex_t>& iso_verts,
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stl_vector_mp<polygon_face_t>& iso_faces);
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// given the list of vertex indices of a face, return the unique key of the face: (the smallest vert Id,
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// second-smallest vert Id, the largest vert Id) assume: face_verts is a list of non-duplicate natural
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// numbers, with at least three elements.
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ISNP_API void compute_iso_face_key(const stl_vector_mp<uint32_t>& face_verts, pod_key_t<3>& key);
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// compute barycentric coordinate of Point (intersection of three planes)
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// Point in tet cell
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template <typename Scalar>
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inline std::array<Scalar, 4> compute_barycentric_coords(const std::array<Scalar, 4>& plane1,
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const std::array<Scalar, 4>& plane2,
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const std::array<Scalar, 4>& plane3)
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{
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Scalar n1 = plane1[3] * (plane2[2] * plane3[1] - plane2[1] * plane3[2])
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+ plane1[2] * (plane2[1] * plane3[3] - plane2[3] * plane3[1])
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+ plane1[1] * (plane2[3] * plane3[2] - plane2[2] * plane3[3]);
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Scalar n2 = plane1[3] * (plane2[0] * plane3[2] - plane2[2] * plane3[0])
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+ plane1[2] * (plane2[3] * plane3[0] - plane2[0] * plane3[3])
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+ plane1[0] * (plane2[2] * plane3[3] - plane2[3] * plane3[2]);
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Scalar n3 = plane1[3] * (plane2[1] * plane3[0] - plane2[0] * plane3[1])
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+ plane1[1] * (plane2[0] * plane3[3] - plane2[3] * plane3[0])
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+ plane1[0] * (plane2[3] * plane3[1] - plane2[1] * plane3[3]);
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Scalar n4 = plane1[2] * (plane2[0] * plane3[1] - plane2[1] * plane3[0])
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+ plane1[1] * (plane2[2] * plane3[0] - plane2[0] * plane3[2])
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+ plane1[0] * (plane2[1] * plane3[2] - plane2[2] * plane3[1]);
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Scalar d = n1 + n2 + n3 + n4;
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//
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return {n1 / d, n2 / d, n3 / d, n4 / d};
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}
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// Point on tet face
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template <typename Scalar>
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inline std::array<Scalar, 3> compute_barycentric_coords(const std::array<Scalar, 3>& plane1,
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const std::array<Scalar, 3>& plane2)
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{
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Scalar n1 = plane1[2] * plane2[1] - plane1[1] * plane2[2];
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Scalar n2 = plane1[0] * plane2[2] - plane1[2] * plane2[0];
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Scalar n3 = plane1[1] * plane2[0] - plane1[0] * plane2[1];
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Scalar d = n1 + n2 + n3;
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//
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return {n1 / d, n2 / d, n3 / d};
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}
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// Point on tet edge
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template <typename Scalar>
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inline std::array<Scalar, 2> compute_barycentric_coords(Scalar f1, Scalar f2)
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{
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return {f2 / (f2 - f1), -f1 / (f2 - f1)};
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}
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