v0.1.0: 初始工程骨架 — 7模块 40头文件 32源文件 17文档 Apache-2.0

2026-07-23 05:27:51 +00:00
commit 02d0520aa5
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+#pragma once
+#include "vde/core/point.h"
+#include <array>
+
+namespace vde::core {
+
+template <typename T>
+class Triangle {
+public:
+    Triangle() = default;
+    Triangle(const Point3D& v0, const Point3D& v1, const Point3D& v2)
+        : v_{v0, v1, v2} {}
+
+    [[nodiscard]] const Point3D& v(int i) const { return v_[i]; }
+    [[nodiscard]] const std::array<Point3D, 3>& vertices() const { return v_; }
+    [[nodiscard]] Vector3D normal() const {
+        return (v_[1] - v_[0]).cross(v_[2] - v_[0]).normalized();
+    }
+    [[nodiscard]] T area() const {
+        return (v_[1] - v_[0]).cross(v_[2] - v_[0]).norm() * 0.5;
+    }
+    [[nodiscard]] Point3D centroid() const {
+        return (v_[0] + v_[1] + v_[2]) / 3.0;
+    }
+    [[nodiscard]] bool contains(const Point3D& p) const {
+        Vector3D v0 = v_[2] - v_[0], v1 = v_[1] - v_[0], v2 = p - v_[0];
+        T d00 = v0.dot(v0), d01 = v0.dot(v1), d11 = v1.dot(v1);
+        T d20 = v2.dot(v0), d21 = v2.dot(v1);
+        T denom = d00 * d11 - d01 * d01;
+        T v = (d11 * d20 - d01 * d21) / denom;
+        T w = (d00 * d21 - d01 * d20) / denom;
+        return v >= 0 && w >= 0 && v + w <= 1;
+    }
+
+private:
+    std::array<Point3D, 3> v_{};
+};
+
+using Triangle3D = Triangle<double>;
+using Triangle3f = Triangle<float>;
+
+}  // namespace vde::core