100 lines
2.1 KiB
C++
100 lines
2.1 KiB
C++
#ifndef LLMR_UTIL_MATH
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#define LLMR_UTIL_MATH
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#include <cmath>
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#include <array>
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#include "vec.hpp"
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namespace llmr {
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namespace util {
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template <typename T>
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inline T max(T a, T b) {
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return b > a ? b : a;
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}
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template <typename T>
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inline T max(T a, T b, T c) {
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return max(max(a, b), c);
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}
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template <typename T>
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inline T max(T a, T b, T c, T d) {
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return max(max(a, b), max(c, d));
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}
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template <typename T>
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inline T min(T a, T b) {
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return b < a ? b : a;
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}
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template <typename T>
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inline T min(T a, T b, T c) {
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return min(min(a, b), c);
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}
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template <typename T>
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inline T min(T a, T b, T c, T d) {
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return min(min(a, b), min(c, d));
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}
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// Find the angle of the two vectors, solving the formula for the cross product
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// a x b = |a||b|sin(θ) for θ.
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template <typename T = double, typename S>
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inline T angle_between(S ax, S ay, S bx, S by) {
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return std::atan2((ax * by - ay * bx), ax * bx + ay * by);
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}
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template <typename T = double, typename S>
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inline T angle_between(const vec2<S>& a, const vec2<S>& b) {
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return angle_between(a.x, a.y, b.x, b.y);
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}
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template <typename T = double, typename S>
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inline T angle_to(const vec2<S>& a, const vec2<S>& b) {
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return std::atan2(a.y - b.y, a.x - b.x);
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}
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template <typename T, typename S1, typename S2>
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inline T interp(S1 a, S2 b, T t) {
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return (a * ((T)1 - t)) + (b * t);
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}
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// Reflect an angle around 0 degrees
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template <typename T>
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inline std::array<T, 2> flip(const std::array<T, 2>& c) {
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return {{
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static_cast<T>(2 * M_PI - c[0]),
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static_cast<T>(2 * M_PI - c[1])
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}};
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}
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template <typename T, typename S1, typename S2>
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inline vec2<T> normal(const S1& a, const S2& b) {
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T dx = b.x - a.x;
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T dy = b.y - a.y;
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T c = std::sqrt(dx * dx + dy * dy);
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return { dx / c, dy / c };
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}
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template <typename T, typename S1, typename S2>
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inline T dist(const S1& a, const S2& b) {
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T dx = b.x - a.x;
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T dy = b.y - a.y;
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T c = std::sqrt(dx * dx + dy * dy);
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return c;
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}
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// Take the magnitude of vector a.
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template <typename T = double, typename S>
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inline T mag(const S& a) {
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return std::sqrt(a.x * a.x + a.y * a.y);
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}
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}
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}
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#endif
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