added comparison
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5 changed files with 255 additions and 82 deletions
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/*
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Crafter®.Math
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Copyright (C) 2026 Catcrafts®
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catcrafts.net
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This library is free software; you can redistribute it and/or
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modify it under the terms of the GNU Lesser General Public
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License version 3.0 as published by the Free Software Foundation;
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This library is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public
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License along with this library; if not, write to the Free Software
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Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
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*/
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export module Crafter.Math:Ray;
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import :Vector;
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import std;
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namespace Crafter {
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export template<typename T>
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constexpr T IntersectionTestRayTriangle(Vector<T, 3, 0> vert0, Vector<T, 3, 0> vert1, Vector<T, 3, 0> vert2, Vector<T, 3, 0> rayOrigin, Vector<T, 3, 0> rayDir) {
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constexpr T EPSILON = 0.0000001;
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Vector<T, 3, 0> edge1 = vert1 - vert0;
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Vector<T, 3, 0> edge2 = vert2 - vert0;
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Vector<T, 3, 0> h = Vector<T, 3, 0>::Cross(rayDir, edge2);
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T determinant = Vector<T, 3, 0>::Dot(edge1, h);
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if (determinant <= EPSILON) {
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return std::numeric_limits<T>::max();
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}
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T inverse_determinant = T(1) / determinant;
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Vector<T, 3, 0> origins_diff_vector = rayOrigin - vert0;
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T u = Vector<T, 3, 0>::Dot(origins_diff_vector, h) * inverse_determinant;
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if (u < 0.0 || u > 1.0)
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{
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return std::numeric_limits<T>::max();
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}
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Vector<T, 3, 0> q = Vector<T, 3, 0>::Cross(origins_diff_vector, edge1);
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T v = inverse_determinant * Vector<T, 3, 0>::Dot(rayDir, q);
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if (v < 0.0 || u + v > 1.0) {
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return std::numeric_limits<T>::max();
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}
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return inverse_determinant * Vector<T, 3, 0>::Dot(edge2, q);
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}
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export template<typename T>
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constexpr T IntersectionTestRaySphere(Vector<T, 3, 0> position, T radius, Vector<T, 3, 0> rayOrigin, Vector<T, 3, 0> rayDir) {
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T a = Vector<T, 3, 0>::Dot(rayDir, rayDir);
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T b = Vector<T, 3, 0>::Dot(rayDir, (T(2) * (rayOrigin - position)));
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T c = Vector<T, 3, 0>::Dot(position, position) + Vector<T, 3, 0>::Dot(rayOrigin, rayOrigin) - T(2) * Vector<T, 3, 0>::Dot(rayOrigin, position) - radius * radius;
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T d = b * b + (T(-4)) * a * c;
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if (d < 0) {
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return std::numeric_limits<T>::max();
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}
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d = std::sqrt(d);
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float t = (T(-0.5)) * (b + d) / a;
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if (t > T(0)) {
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return t;
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} else {
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return std::numeric_limits<T>::max();
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}
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}
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}
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