gaming-core/math/Math.h

#ifndef COREMATH_H
#define COREMATH_H

#include <cmath>

#ifndef M_PI
#define M_PI 3.14159265358979323846
#endif

#ifndef _GNU_SOURCE
void sincosf(float a, float* s, float* c);
#endif

namespace Math {
    template<typename T>
    T interpolate(const T& a, const T& b, float f) {
        return a * (1.0f - f) + b * f;
    }

    template<typename T>
    int popCount(const T& t) {
        static constexpr int map[16] = {0, 1, 1, 2, 1, 2, 2, 3,
                                        1, 2, 2, 3, 2, 3, 3, 4};
        int sum = 0;
        for(int i = 0; i < static_cast<int>(sizeof(T) * 8); i += 4) {
            sum += map[(t >> i) & 0xF];
        }
        return sum;
    }

    constexpr int roundUpLog2(int i) {
        if(i <= 0) {
            return 0;
        }
        int c = 1;
        while(((i - 1) >> c) > 0) {
            c++;
        }
        return c;
    }

    template<typename T>
    const T& min(const T& t) {
        return t;
    }

    template<typename T, typename... Args>
    const T& min(const T& t, Args&&... args) {
        const T& o = min(args...);
        return t < o ? t : o;
    }

    template<typename T>
    const T& max(const T& t) {
        return t;
    }

    template<typename T, typename... Args>
    const T& max(const T& t, Args&&... args) {
        const T& o = max(args...);
        return o < t ? t : o;
    }

    template<typename T>
    const T& clamp(const T& t, const T& borderA, const T& borderB) {
        const T& low = min(borderA, borderB);
        const T& high = max(borderA, borderB);
        return max(low, min(high, t));
    }
}

#endif