vector.hh

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/*
 
MIT License
 
Copyright (c) 2023 PCSX-Redux authors
 
Permission is hereby granted, free of charge, to any person obtaining a copy
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*/
 
#pragma once
 
#include <concepts>
#include <type_traits>
 
#include "psyqo/fixed-point.hh"
#include "psyqo/primitives/common.hh"
 
namespace psyqo {
 
template <unsigned N, unsigned precisionBits = 12, std::integral T = int32_t>
    requires((N >= 2) && (N <= 4))
struct Vector {
    typedef FixedPoint<precisionBits, T> FixedPointType;
    FixedPoint<precisionBits, T> x, y;
    struct EmptyZ {};
    [[no_unique_address]] std::conditional_t<(N > 2), FixedPoint<precisionBits, T>, EmptyZ> z;
    struct EmptyW {};
    [[no_unique_address]] std::conditional_t<(N > 3), FixedPoint<precisionBits, T>, EmptyW> w;
    constexpr FixedPointType& get(unsigned i) {
        if constexpr (N == 2) {
            return (i == 0) ? x : y;
        } else if constexpr (N == 3) {
            return (i == 0) ? x : (i == 1) ? y : z;
        } else if constexpr (N == 4) {
            return (i == 0) ? x : (i == 1) ? y : (i == 2) ? z : w;
        }
    }
    constexpr const FixedPointType& get(unsigned i) const {
        if constexpr (N == 2) {
            return (i == 0) ? x : y;
        } else if constexpr (N == 3) {
            return (i == 0) ? x : (i == 1) ? y : z;
        } else if constexpr (N == 4) {
            return (i == 0) ? x : (i == 1) ? y : (i == 2) ? z : w;
        }
    }
    constexpr FixedPointType& operator[](unsigned i) { return get(i); }
    constexpr operator Vertex() const
        requires((N == 2) && std::is_signed<T>::value)
    {
        return {{.x = x.template integer<int16_t>(), .y = y.template integer<int16_t>()}};
    }
    constexpr Vector& operator+=(const Vector& rhs) {
        for (unsigned i = 0; i < N; i++) {
            get(i) += rhs.get(i);
        }
        return *this;
    }
    constexpr Vector& operator-=(const Vector& rhs) {
        for (unsigned i = 0; i < N; i++) {
            get(i) -= rhs.get(i);
        }
        return *this;
    }
    constexpr Vector& operator*=(const FixedPointType& rhs) {
        for (unsigned i = 0; i < N; i++) {
            get(i) *= rhs;
        }
        return *this;
    }
    constexpr Vector& operator/=(const FixedPointType& rhs) {
        for (unsigned i = 0; i < N; i++) {
            get(i) /= rhs;
        }
        return *this;
    }
    template <std::integral U>
    constexpr Vector& operator*=(U rhs) {
        for (unsigned i = 0; i < N; i++) {
            get(i) *= rhs;
        }
        return *this;
    }
    template <std::integral U>
    constexpr Vector& operator/=(U rhs) {
        for (unsigned i = 0; i < N; i++) {
            get(i) /= rhs;
        }
        return *this;
    }
    constexpr Vector operator-() const {
        Vector result;
        for (unsigned i = 0; i < N; i++) {
            result.get(i) = -get(i);
        }
        return result;
    }
    constexpr Vector operator+(const Vector& rhs) const {
        Vector result;
        for (unsigned i = 0; i < N; i++) {
            result.get(i) = get(i) + rhs.get(i);
        }
        return result;
    }
    constexpr Vector operator-(const Vector& rhs) const {
        Vector result;
        for (unsigned i = 0; i < N; i++) {
            result.get(i) = get(i) - rhs.get(i);
        }
        return result;
    }
    constexpr Vector operator*(const FixedPointType& rhs) const {
        Vector result;
        for (unsigned i = 0; i < N; i++) {
            result.get(i) = get(i) * rhs;
        }
        return result;
    }
    constexpr Vector operator/(const FixedPointType& rhs) const {
        Vector result;
        for (unsigned i = 0; i < N; i++) {
            result.get(i) = get(i) / rhs;
        }
        return result;
    }
    template <std::integral U>
    constexpr Vector operator*(U rhs) const {
        Vector result;
        for (unsigned i = 0; i < N; i++) {
            result.get(i) = get(i) * rhs;
        }
        return result;
    }
    template <std::integral U>
    constexpr Vector operator/(U rhs) const {
        Vector result;
        for (unsigned i = 0; i < N; i++) {
            result.get(i) = get(i) / rhs;
        }
        return result;
    }
    static constexpr Vector ZERO()
        requires(N <= 3)
    {
        Vector result;
        for (unsigned i = 0; i < N; i++) {
            result.get(i) = FixedPointType(0.0);
        }
        return result;
    }
    static constexpr Vector ONE()
        requires(N <= 3)
    {
        Vector result;
        for (unsigned i = 0; i < N; i++) {
            result.get(i) = FixedPointType(1.0);
        }
        return result;
    }
    static constexpr Vector UP()
        requires(N <= 3)
    {
        Vector result;
        for (unsigned i = 0; i < N; i++) {
            result.get(i) = (i == 1) ? FixedPointType(1.0) : FixedPointType(0.0);
        }
        return result;
    }
    static constexpr Vector DOWN()
        requires(N <= 3)
    {
        Vector result;
        for (unsigned i = 0; i < N; i++) {
            result.get(i) = (i == 1) ? -FixedPointType(1.0) : FixedPointType(0.0);
        }
        return result;
    }
    static constexpr Vector LEFT()
        requires(N <= 3)
    {
        Vector result;
        for (unsigned i = 0; i < N; i++) {
            result.get(i) = (i == 0) ? -FixedPointType(1.0) : FixedPointType(0.0);
        }
        return result;
    }
    static constexpr Vector RIGHT()
        requires(N <= 3)
    {
        Vector result;
        for (unsigned i = 0; i < N; i++) {
            result.get(i) = (i == 0) ? FixedPointType(1.0) : FixedPointType(0.0);
        }
        return result;
    }
    static constexpr Vector FORWARD()
        requires(N == 3)
    {
        Vector result;
        for (unsigned i = 0; i < N; i++) {
            result.get(i) = (i == 2) ? FixedPointType(1.0) : FixedPointType(0.0);
        }
        return result;
    }
    static constexpr Vector BACKWARD()
        requires(N == 3)
    {
        Vector result;
        for (unsigned i = 0; i < N; i++) {
            result.get(i) = (i == 2) ? -FixedPointType(1.0) : FixedPointType(0.0);
        }
        return result;
    }
};
 
typedef Vector<2> Vec2;
typedef Vector<3> Vec3;
typedef Vector<4> Vec4;
 
static_assert(sizeof(Vec2) == 8);
static_assert(sizeof(Vec3) == 12);
static_assert(sizeof(Vec4) == 16);
 
}  // namespace psyqo