JGeometry.h

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#ifndef JGEOMETRY_H
#define JGEOMETRY_H
 
#include <dolphin/mtx.h>
#include <cmath>
#include "JSystem/JMath/JMath.h"
 
#ifndef __MWERKS__
#include <limits>
#define FLT_EPSILON std::numeric_limits<float>::epsilon()
#endif
 
namespace JGeometry {
 
template<typename T>
struct TUtil {
    static inline T clamp(T v, T min, T max) {
        if (v < min) {
            return min;
        }
        if (v > max) {
            return max;
        }
        return v;
    }
};
 
template<>
struct TUtil<f32> {
    static inline f32 clamp(f32 v, f32 min, f32 max) {
        if (v < min) {
            return min;
        }
        if (v > max) {
            return max;
        }
        return v;
    }
    static inline f32 epsilon() { return 32.0f * FLT_EPSILON; }
    static inline f32 PI() { return 3.1415927f; }
    static inline f32 inv_sqrt(f32 x) {
        #ifdef __MWERKS__
        if (x <= 0.0f) {
            return x;
        }
        f32 root = __frsqrte(x);
        root = 0.5f * root * (3.0f - x * (root * root));
        return root;
        #endif
    }
 
    static inline f32 sqrt(f32 x) {
        #ifdef __MWERKS__
        if (x <= 0.0f) {
            return x;
        }
 
        f32 root = __frsqrte(x);
        root = 0.5f * root * (3.0f - x * (root * root));
        return x * root;
        #endif
    }
};
 
template<>
struct TUtil<double> {
    static inline double epsilon() { return 32.0f * FLT_EPSILON; }
    static inline double one() { return 1.0; }
    static inline double atan2(double x, double y) { return ::atan2(x, y); }
    static inline double asin(double x) { return ::asin(x); }
    static inline double halfPI() { return 1.5707963267948966; }
};
 
template <typename T>
struct TVec3 {
    T x;
    T y;
    T z;
 
    void set(const TVec3& other) {
        x = other.x;
        y = other.y;
        z = other.z;
    }
};
 
template <>
struct TVec3<double> {
    double x, y, z;
 
    void set(double x_, double y_, double z_) {
        x = x_;
        y = y_;
        z = z_;
    }
 
    inline TVec3<double>& operator*=(double b) {
        scale(b);
        return *this;
    }
 
    void scale(double b) {
        x *= b;
        y *= b;
        z *= b;
    }
};
 
template <>
struct TVec3<s16> {
    s16 x, y, z;
 
    TVec3() {}
 
    TVec3(s16 x, s16 y, s16 z) {
        set(x, y, z);
    }
 
    TVec3& operator=(const TVec3& b) {
        // Force copies to use lwz/lha
        *((s32*)this) = *((s32*)&b);
        z = b.z;
        return *this;
    }
 
    void set(s16 x_, s16 y_, s16 z_) {
        x = (s16)x_;
        y = (s16)y_;
        z = (s16)z_;
    }
};
 
inline void setTVec3f(const __REGISTER f32* vec_a, __REGISTER f32* vec_b) {
#ifdef __MWERKS__
    __REGISTER f32 a_x;
    __REGISTER f32 b_x;
 
    asm {
        psq_l a_x, 0(vec_a), 0, 0
        lfs b_x, 8(vec_a)
        psq_st a_x, 0(vec_b), 0, 0
        stfs b_x, 8(vec_b)
    };
#endif
}
 
// Until we figure out TVec3 ctors
inline void setTVec3f(const Vec& vec_a, Vec& vec_b) {
    setTVec3f(&vec_a.x, &vec_b.x);
}
 
inline float fsqrt_step(float mag) {
    #ifdef __MWERKS__
    f32 root = __frsqrte(mag);
    return 0.5f * root * (3.0f - mag * (root * root));
    #endif
}
 
inline void mulInternal(__REGISTER const f32* a, __REGISTER const f32* b, __REGISTER float* dst) {
#ifdef __MWERKS__
    __REGISTER f32 a_x_y;
    __REGISTER f32 b_x_y;
    __REGISTER f32 x_y;
    __REGISTER f32 za;
    __REGISTER f32 zb;
    __REGISTER f32 z;
 
    asm {
        psq_l  a_x_y, 0(a), 0, 0
        psq_l  b_x_y, 0(b), 0, 0
        ps_mul x_y, a_x_y, b_x_y
        psq_st x_y, 0(dst), 0, 0
    };
    dst[2] = a[2] * b[2];
#endif
}
 
template <>
struct TVec3<f32> : public Vec {
    TVec3(const Vec& i_vec) {
        setTVec3f(&i_vec.x, &x);
    }
 
    TVec3(const TVec3<f32>& i_vec) {
        setTVec3f(&i_vec.x, &x);
    }
 
    template<class U>
    TVec3(U x, U y, U z) {
        set((U)x, (U)y, (U)z);
    }
 
    TVec3() {}
 
    operator Vec*() { return (Vec*)&x; }
    operator const Vec*() const { return (Vec*)&x; }
 
    template<class U>
    void set(const TVec3<U>& other) {
        x = (U)other.x;
        y = (U)other.y;
        z = (U)other.z;
    }
 
    void set(const Vec& other) {
        x = other.x;
        y = other.y;
        z = other.z;
    }
 
    template<class U>
    void set(U x_, U y_, U z_) {
        x = (U)x_;
        y = (U)y_;
        z = (U)z_;
    }
 
    inline void add(const TVec3<f32>& b) {
        JMathInlineVEC::C_VECAdd((Vec*)&x, (Vec*)&b.x, (Vec*)&x);
    }
 
    void zero() { x = y = z = 0.0f; }
 
    void mul(const TVec3<f32>& a, const TVec3<f32>& b) {
        mulInternal(&a.x, &b.x, &this->x);
    }
 
    inline void mul(const TVec3<f32>& a) {
        mul(*this, a);
    }
 
    inline TVec3<f32>& operator=(const Vec& b) {
        setTVec3f(&b.x, &this->x);
        return *this;
    }
 
    inline TVec3<f32>& operator=(const TVec3<f32>& b) {
        setTVec3f(&b.x, &this->x);
        return *this;
    }    
 
    inline TVec3<f32>& operator+=(const TVec3<f32>& b) {
        add(b);
        return *this;
    }
 
    inline TVec3<f32> operator+(const TVec3<f32>& b) const {
        TVec3<f32> a = *this;
        a += b;
        return a;
    }
 
    // inline TVec3<f32> operator+(const TVec3<f32>& b) {
    //     TVec3<f32> res(*(Vec*)this);
    //     res += b;
    //     return res;
    // }
 
    f32 squared() const {
        return JMathInlineVEC::C_VECSquareMag((Vec*)&x);
    }
 
    f32 normalize() {
        f32 sq = squared();
        if (sq <= TUtil<f32>::epsilon()) {
            return 0.0f;
        }
        f32 inv_norm = TUtil<f32>::inv_sqrt(sq);
        scale(inv_norm);
        return inv_norm * sq; 
    }
 
    f32 normalize(const TVec3<f32>& other) {
        f32 sq = other.squared();
        if (sq <= TUtil<f32>::epsilon()) {
            zero();
            return 0.0f;
        }
        f32 norm = TUtil<f32>::inv_sqrt(sq);
        scale(norm, other);
        return norm * sq;
    }
 
    f32 length() const {
        return VECMag((Vec*)this);
    }
 
    void scale(__REGISTER f32 sc) {
#if PLATFORM_GCN && defined(__MWERKS__)
        __REGISTER f32 z;
        __REGISTER f32 x_y;
        __REGISTER f32* dst = &x;
        __REGISTER f32 zres;
 
        asm {
            psq_l    x_y, 0(dst),  0, 0
            psq_l    z,   8(dst),  1, 0
            ps_muls0 x_y,    x_y, sc
            psq_st   x_y, 0(dst),  0, 0
            ps_muls0 zres,       z, sc
            psq_st   zres,  8(dst),  1, 0
        };
#else
        x *= sc;
        y *= sc;
        z *= sc;
#endif
    }
 
    void scale(__REGISTER f32 sc, const TVec3<f32>& other) {
#if PLATFORM_GCN && defined(__MWERKS__)
        __REGISTER const f32* src = &other.x;
        __REGISTER f32 z;
        __REGISTER f32 x_y;
        __REGISTER f32* dst = &x;
        __REGISTER f32 zres;
 
        asm {
            psq_l    x_y, 0(src),  0, 0
            psq_l    z,   8(src),  1, 0
            ps_muls0 x_y,    x_y, sc
            psq_st   x_y, 0(dst),  0, 0
            ps_muls0 zres,       z, sc
            psq_st   zres,  8(dst),  1, 0
        };
#else
        x = other.x * sc;
        y = other.y * sc;
        z = other.z * sc;
#endif
    }
 
    void scaleAdd(__REGISTER f32 sc, const TVec3<f32>& a, const TVec3<f32>& b) {
        JMAVECScaleAdd(&a, &b, this, sc);
    }
 
    void negateInternal(TVec3<f32>* dst) {
#ifdef __MWERKS__
        __REGISTER f32* rdst = &dst->x;
        const __REGISTER f32* src = &x;
        __REGISTER f32 x_y;
        __REGISTER f32 z;
 
        asm {
            psq_l  x_y, 0(src), 0, 0
            ps_neg x_y, x_y
            psq_st x_y, 0(rdst), 0, 0
            lfs    z,   8(src)
            fneg   z,   z
            stfs   z,   8(rdst)
        };
#endif
    }
 
    void negate() {
        negateInternal(this);
    }
 
    void sub(const TVec3<f32>& b) {
        JMathInlineVEC::C_VECSubtract((Vec*)&x, (Vec*)&b.x, (Vec*)&x);
    }
 
    void sub(const TVec3<f32>& a, const TVec3<f32>& b) {
        JMathInlineVEC::C_VECSubtract((Vec*)&a.x, (Vec*)&b.x, (Vec*)&x);
    }
 
    bool isZero() const {
        return squared() <= TUtil<f32>::epsilon();
    }
 
    void cross(const TVec3<f32>& a, const TVec3<f32>& b) {
        PSVECCrossProduct(&a, &b, this);
    }
 
    f32 setLength(f32 len) {
        f32 sq = squared();
        if (sq <= TUtil<f32>::epsilon()) {
            return 0.0f;
        }
        f32 inv_norm = TUtil<f32>::inv_sqrt(sq);
        scale(inv_norm * len);
        return inv_norm * sq;
    }
 
    f32 setLength(const TVec3<f32>& other, f32 len) {
        f32 sq = other.squared();
        if (sq <= TUtil<f32>::epsilon()) {
            zero();
            return 0.0f;
        }
        f32 inv_norm = TUtil<f32>::inv_sqrt(sq);
        scale(inv_norm * len, other);
        return inv_norm * sq;
    }
 
    f32 dot(const TVec3<f32>& other) const {
        return JMathInlineVEC::C_VECDotProduct(this, &other);
    }
 
    void cubic(const TVec3<f32>& param_1, const TVec3<f32>& param_2, const TVec3<f32>& param_3,
               const TVec3<f32>& param_4, f32 param_5) {
        f32 fVar5 = param_5 * param_5;
        f32 fVar6 = fVar5 * param_5;
        f32 fVar8 = 1.0f + (2.0f * fVar6 - 3.0f * fVar5);
        f32 fVar9 = -2.0f * fVar6 + 3.0f * fVar5;
        f32 fVar7 = param_5 + (fVar6 - 2.0f * fVar5);
        f32 fVar4 = fVar6 - fVar5;
        x = fVar8 * param_1.x + fVar9 * param_4.x + fVar7 * param_2.x + fVar4 * param_3.x;
        y = fVar8 * param_1.y + fVar9 * param_4.y + fVar7 * param_2.y + fVar4 * param_3.y;
        z = fVar8 * param_1.z + fVar9 * param_4.z + fVar7 * param_2.z + fVar4 * param_3.z;
    }
};
 
template <typename T>
struct TVec2 {
    TVec2() {}
    TVec2(T v) { set(v); }
 
    template <typename U>
    TVec2(const U x, const U y) { set(x, y); }
 
    void set(T v) { y = x = v; }
 
    template <typename U>
    void set(const U x, const U y) {
        this->x = x;
        this->y = y;
    }
 
    template <typename U>
    void set(const TVec2<U>& other) {
        x = other.x;
        y = other.y;
    }
 
    void setMin(const TVec2<f32>& min) {
        if (x >= min.x)
            x = min.x;
        if (y >= min.y)
            y = min.y;
    }
 
    void setMax(const TVec2<f32>& max) {
        if (x <= max.x)
            x = max.x;
        if (y <= max.y)
            y = max.y;
    }
 
    void add(const TVec2<T>& other) {
        x += other.x;
        y += other.y;
    }
 
    bool equals(const TVec2<T>& other) const {
        bool result = false;
        if (this->x == other.x && this->y == other.y) {
            result = true;
        }
        return result;
    }
 
    bool isAbove(const TVec2<T>& other) const {
        return (x >= other.x) && (y >= other.y) ? true : false;
    }
 
    f32 dot(const TVec2<T>& other) const {
        return x * other.x + y * other.y;
    }
 
    f32 squared() const {
        return dot(*this);
    }
 
    f32 length() const {
        return TUtil<f32>::sqrt(squared());
    }
 
    bool operator==(const TVec2<T>& other) const {
        return equals(other);
    }
 
    T x;
    T y;
};
 
template <class T>
struct TBox {
    TBox() : i(), f() {}
    TBox(const TBox& other) : i(other.i), f(other.f) {}
 
    T i, f;
};
 
// clang-format off
template<> struct TBox<TVec2<f32> > {
    f32 getWidth() const { return f.x - i.x; }
    f32 getHeight() const { return f.y - i.y; }
 
    bool isValid() const { return f.isAbove(i); }
 
    void addPos(f32 x, f32 y) {
        addPos(TVec2<f32>(x, y));
    }
 
    void addPos(const TVec2<f32>& pos) {
        i.add(pos);
        f.add(pos);
    }
 
    bool intersect(const TBox<TVec2<f32> >& other) {
        i.setMax(other.i);
        f.setMin(other.f);
        return isValid();
    }
 
    void absolute() {
        if (this->isValid()) {
            return;
        }
 
        TBox<TVec2<f32> > box(*this);
        this->i.setMin(box.i);
        this->i.setMin(box.f);
        this->f.setMax(box.i);
        this->f.setMax(box.f);
    }
 
    TVec2<f32> i, f;
};
 
template <typename T>
struct TBox2 : public TBox<TVec2<T> > {
    TBox2() {}
    TBox2(const TVec2<f32>& _i, const TVec2<f32>& _f) { 
        TBox<TVec2<T> >::i.set(_i);
        TBox<TVec2<T> >::f.set(_f);
    }
    TBox2(f32 x0, f32 y0, f32 x1, f32 y1) { set(x0, y0, x1, y1); }
 
    void set(const TBox<TVec2<T> >& other) { set(other.i, other.f); }
    void set(const TVec2<f32>& i, const TVec2<f32>& f) { this->i.set(i), this->f.set(f); }
    void set(f32 x0, f32 y0, f32 x1, f32 y1) { this->i.set(x0, y0); this->f.set(x1, y1); }
};
 
// clang-format on
 
}  // namespace JGeometry
 
#endif