#if !defined(HANDMADE_MATH_H)
/* ========================================================================
   $File: $
   $Date: $
   $Revision: $
   $Creator: Casey Muratori $
   $Notice: (C) Copyright 2014 by Molly Rocket, Inc. All Rights Reserved. $
   ======================================================================== */

inline v2
V2i(int32 X, int32 Y)
{
    v2 Result = {(real32)X, (real32)Y};

    return(Result);
}

inline v2
V2i(uint32 X, uint32 Y)
{
    v2 Result = {(real32)X, (real32)Y};

    return(Result);
}

inline v2
V2(real32 X, real32 Y)
{
    v2 Result;

    Result.x = X;
    Result.y = Y;

    return(Result);
}

inline v3
V3(real32 X, real32 Y, real32 Z)
{
    v3 Result;

    Result.x = X;
    Result.y = Y;
    Result.z = Z;

    return(Result);
}

inline v3
V3(v2 XY, real32 Z)
{
    v3 Result;

    Result.x = XY.x;
    Result.y = XY.y;
    Result.z = Z;

    return(Result);
}

inline v4
V4(real32 X, real32 Y, real32 Z, real32 W)
{
    v4 Result;

    Result.x = X;
    Result.y = Y;
    Result.z = Z;
    Result.w = W;

    return(Result);
}

inline v4
V4(v3 XYZ, real32 W)
{
    v4 Result;

    Result.xyz = XYZ;
    Result.w = W;

    return(Result);
}

//
// NOTE(casey): Scalar operations
//

inline real32
Square(real32 A)
{
    real32 Result = A*A;

    return(Result);
}

inline real32
Lerp(real32 A, real32 t, real32 B)
{
    real32 Result = (1.0f - t)*A + t*B;

    return(Result);
}

inline real32
Clamp(real32 Min, real32 Value, real32 Max)
{
    real32 Result = Value;

    if(Result < Min)
    {
        Result = Min;
    }
    else if(Result > Max)
    {
        Result = Max;
    }

    return(Result);
}

inline real32
Clamp01(real32 Value)
{
    real32 Result = Clamp(0.0f, Value, 1.0f);

    return(Result);
}

inline real32
Clamp01MapToRange(real32 Min, real32 t, real32 Max)
{
    real32 Result = 0.0f;
    
    real32 Range = Max - Min;
    if(Range != 0.0f)
    {
        Result = Clamp01((t - Min) / Range);
    }

    return(Result);
}

inline real32
SafeRatioN(real32 Numerator, real32 Divisor, real32 N)
{
    real32 Result = N;

    if(Divisor != 0.0f)
    {
        Result = Numerator / Divisor;
    }

    return(Result);
}

inline real32
SafeRatio0(real32 Numerator, real32 Divisor)
{
    real32 Result = SafeRatioN(Numerator, Divisor, 0.0f);

    return(Result);
}

inline real32
SafeRatio1(real32 Numerator, real32 Divisor)
{
    real32 Result = SafeRatioN(Numerator, Divisor, 1.0f);

    return(Result);
}
    
//
// NOTE(casey): v2 operations
//

inline v2
Perp(v2 A)
{
    v2 Result = {-A.y, A.x};
    return(Result);
}

inline v2
operator*(real32 A, v2 B)
{
    v2 Result;

    Result.x = A*B.x;
    Result.y = A*B.y;
    
    return(Result);
}

inline v2
operator*(v2 B, real32 A)
{
    v2 Result = A*B;

    return(Result);
}

inline v2 &
operator*=(v2 &B, real32 A)
{
    B = A * B;

    return(B);
}

inline v2
operator-(v2 A)
{
    v2 Result;

    Result.x = -A.x;
    Result.y = -A.y;

    return(Result);
}

inline v2
operator+(v2 A, v2 B)
{
    v2 Result;

    Result.x = A.x + B.x;
    Result.y = A.y + B.y;

    return(Result);
}

inline v2 &
operator+=(v2 &A, v2 B)
{
    A = A + B;

    return(A);
}

inline v2
operator-(v2 A, v2 B)
{
    v2 Result;

    Result.x = A.x - B.x;
    Result.y = A.y - B.y;

    return(Result);
}

inline v2 &
operator-=(v2 &A, v2 B)
{
    A = A - B;

    return(A);
}

inline v2
Hadamard(v2 A, v2 B)
{
    v2 Result = {A.x*B.x, A.y*B.y};

    return(Result);
}

inline real32
Inner(v2 A, v2 B)
{
    real32 Result = A.x*B.x + A.y*B.y;

    return(Result);
}

inline real32
LengthSq(v2 A)
{
    real32 Result = Inner(A, A);

    return(Result);
}

inline real32
Length(v2 A)
{
    real32 Result = SquareRoot(LengthSq(A));
    return(Result);
}

inline v2
Clamp01(v2 Value)
{
    v2 Result;

    Result.x = Clamp01(Value.x);
    Result.y = Clamp01(Value.y);

    return(Result);
}

inline v2
Arm2(r32 Angle)
{
    v2 Result = {Cos(Angle), Sin(Angle)};

    return(Result);
}

//
// NOTE(casey): v3 operations
//

inline v3
operator*(real32 A, v3 B)
{
    v3 Result;

    Result.x = A*B.x;
    Result.y = A*B.y;
    Result.z = A*B.z;
    
    return(Result);
}

inline v3
operator*(v3 B, real32 A)
{
    v3 Result = A*B;

    return(Result);
}

inline v3 &
operator*=(v3 &B, real32 A)
{
    B = A * B;

    return(B);
}

inline v3
operator-(v3 A)
{
    v3 Result;

    Result.x = -A.x;
    Result.y = -A.y;
    Result.z = -A.z;

    return(Result);
}

inline v3
operator+(v3 A, v3 B)
{
    v3 Result;

    Result.x = A.x + B.x;
    Result.y = A.y + B.y;
    Result.z = A.z + B.z;

    return(Result);
}

inline v3 &
operator+=(v3 &A, v3 B)
{
    A = A + B;

    return(A);
}

inline v3
operator-(v3 A, v3 B)
{
    v3 Result;

    Result.x = A.x - B.x;
    Result.y = A.y - B.y;
    Result.z = A.z - B.z;

    return(Result);
}

inline v3 &
operator-=(v3 &A, v3 B)
{
    A = A - B;

    return(A);
}

inline v3
Hadamard(v3 A, v3 B)
{
    v3 Result = {A.x*B.x, A.y*B.y, A.z*B.z};

    return(Result);
}

inline real32
Inner(v3 A, v3 B)
{
    real32 Result = A.x*B.x + A.y*B.y + A.z*B.z;

    return(Result);
}

inline real32
LengthSq(v3 A)
{
    real32 Result = Inner(A, A);

    return(Result);
}

inline real32
Length(v3 A)
{
    real32 Result = SquareRoot(LengthSq(A));
    return(Result);
}

inline v3
Normalize(v3 A)
{
    v3 Result = A * (1.0f / Length(A));

    return(Result);
}

inline v3
Clamp01(v3 Value)
{
    v3 Result;

    Result.x = Clamp01(Value.x);
    Result.y = Clamp01(Value.y);
    Result.z = Clamp01(Value.z);

    return(Result);
}

inline v3
Lerp(v3 A, real32 t, v3 B)
{
    v3 Result = (1.0f - t)*A + t*B;

    return(Result);
}

//
// NOTE(casey): v4 operations
//

inline v4
operator*(real32 A, v4 B)
{
    v4 Result;

    Result.x = A*B.x;
    Result.y = A*B.y;
    Result.z = A*B.z;
    Result.w = A*B.w;
    
    return(Result);
}

inline v4
operator*(v4 B, real32 A)
{
    v4 Result = A*B;

    return(Result);
}

inline v4 &
operator*=(v4 &B, real32 A)
{
    B = A * B;

    return(B);
}

inline v4
operator-(v4 A)
{
    v4 Result;

    Result.x = -A.x;
    Result.y = -A.y;
    Result.z = -A.z;
    Result.w = -A.w;

    return(Result);
}

inline v4
operator+(v4 A, v4 B)
{
    v4 Result;

    Result.x = A.x + B.x;
    Result.y = A.y + B.y;
    Result.z = A.z + B.z;
    Result.w = A.w + B.w;

    return(Result);
}

inline v4 &
operator+=(v4 &A, v4 B)
{
    A = A + B;

    return(A);
}

inline v4
operator-(v4 A, v4 B)
{
    v4 Result;

    Result.x = A.x - B.x;
    Result.y = A.y - B.y;
    Result.z = A.z - B.z;
    Result.w = A.w - B.w;

    return(Result);
}

inline v4 &
operator-=(v4 &A, v4 B)
{
    A = A - B;

    return(A);
}

inline v4
Hadamard(v4 A, v4 B)
{
    v4 Result = {A.x*B.x, A.y*B.y, A.z*B.z, A.w*B.w};

    return(Result);
}

inline real32
Inner(v4 A, v4 B)
{
    real32 Result = A.x*B.x + A.y*B.y + A.z*B.z + A.w*B.w;

    return(Result);
}

inline real32
LengthSq(v4 A)
{
    real32 Result = Inner(A, A);

    return(Result);
}

inline real32
Length(v4 A)
{
    real32 Result = SquareRoot(LengthSq(A));
    return(Result);
}

inline v4
Clamp01(v4 Value)
{
    v4 Result;

    Result.x = Clamp01(Value.x);
    Result.y = Clamp01(Value.y);
    Result.z = Clamp01(Value.z);
    Result.w = Clamp01(Value.w);

    return(Result);
}

inline v4
Lerp(v4 A, real32 t, v4 B)
{
    v4 Result = (1.0f - t)*A + t*B;

    return(Result);
}

//
// NOTE(casey): Rectangle2
//

inline rectangle2
InvertedInfinityRectangle2(void)
{
    rectangle2 Result;

    Result.Min.x = Result.Min.y = Real32Maximum;
    Result.Max.x = Result.Max.y = -Real32Maximum;

    return(Result);
}

inline rectangle2
Union(rectangle2 A, rectangle2 B)
{
    rectangle2 Result;
    
    Result.Min.x = (A.Min.x < B.Min.x) ? A.Min.x : B.Min.x;
    Result.Min.y = (A.Min.y < B.Min.y) ? A.Min.y : B.Min.y;
    Result.Max.x = (A.Max.x > B.Max.x) ? A.Max.x : B.Max.x;
    Result.Max.y = (A.Max.y > B.Max.y) ? A.Max.y : B.Max.y;

    return(Result);
}

inline v2
GetMinCorner(rectangle2 Rect)
{
    v2 Result = Rect.Min;
    return(Result);
}

inline v2
GetMaxCorner(rectangle2 Rect)
{
    v2 Result = Rect.Max;
    return(Result);
}

inline v2
GetDim(rectangle2 Rect)
{
    v2 Result = Rect.Max - Rect.Min;
    return(Result);
}

inline v2
GetCenter(rectangle2 Rect)
{
    v2 Result = 0.5f*(Rect.Min + Rect.Max);
    return(Result);
}

inline rectangle2
RectMinMax(v2 Min, v2 Max)
{
    rectangle2 Result;

    Result.Min = Min;
    Result.Max = Max;

    return(Result);
}

inline rectangle2
RectMinDim(v2 Min, v2 Dim)
{
    rectangle2 Result;

    Result.Min = Min;
    Result.Max = Min + Dim;

    return(Result);
}

inline rectangle2
RectCenterHalfDim(v2 Center, v2 HalfDim)
{
    rectangle2 Result;

    Result.Min = Center - HalfDim;
    Result.Max = Center + HalfDim;

    return(Result);
}

inline rectangle2
AddRadiusTo(rectangle2 A, v2 Radius)
{
    rectangle2 Result;
    Result.Min = A.Min - Radius;
    Result.Max = A.Max + Radius;

    return(Result);
}

inline rectangle2
Offset(rectangle2 A, v2 Offset)
{
    rectangle2 Result;

    Result.Min = A.Min + Offset;
    Result.Max = A.Max + Offset;

    return(Result);
}

inline rectangle2
RectCenterDim(v2 Center, v2 Dim)
{
    rectangle2 Result = RectCenterHalfDim(Center, 0.5f*Dim);

    return(Result);
}

inline bool32
IsInRectangle(rectangle2 Rectangle, v2 Test)
{
    bool32 Result = ((Test.x >= Rectangle.Min.x) &&
                     (Test.y >= Rectangle.Min.y) &&
                     (Test.x < Rectangle.Max.x) &&
                     (Test.y < Rectangle.Max.y));

    return(Result);
}

inline v2
GetBarycentric(rectangle2 A, v2 P)
{
    v2 Result;

    Result.x = SafeRatio0(P.x - A.Min.x, A.Max.x - A.Min.x);
    Result.y = SafeRatio0(P.y - A.Min.y, A.Max.y - A.Min.y);

    return(Result);
}

//
// NOTE(casey): Rectangle3
//

inline v3
GetMinCorner(rectangle3 Rect)
{
    v3 Result = Rect.Min;
    return(Result);
}

inline v3
GetMaxCorner(rectangle3 Rect)
{
    v3 Result = Rect.Max;
    return(Result);
}

inline v3
GetDim(rectangle3 Rect)
{
    v3 Result = Rect.Max - Rect.Min;
    return(Result);
}

inline v3
GetCenter(rectangle3 Rect)
{
    v3 Result = 0.5f*(Rect.Min + Rect.Max);
    return(Result);
}

inline rectangle3
RectMinMax(v3 Min, v3 Max)
{
    rectangle3 Result;

    Result.Min = Min;
    Result.Max = Max;

    return(Result);
}

inline rectangle3
RectMinDim(v3 Min, v3 Dim)
{
    rectangle3 Result;

    Result.Min = Min;
    Result.Max = Min + Dim;

    return(Result);
}

inline rectangle3
RectCenterHalfDim(v3 Center, v3 HalfDim)
{
    rectangle3 Result;

    Result.Min = Center - HalfDim;
    Result.Max = Center + HalfDim;

    return(Result);
}

inline rectangle3
AddRadiusTo(rectangle3 A, v3 Radius)
{
    rectangle3 Result;

    Result.Min = A.Min - Radius;
    Result.Max = A.Max + Radius;

    return(Result);
}

inline rectangle3
Offset(rectangle3 A, v3 Offset)
{
    rectangle3 Result;

    Result.Min = A.Min + Offset;
    Result.Max = A.Max + Offset;

    return(Result);
}

inline rectangle3
RectCenterDim(v3 Center, v3 Dim)
{
    rectangle3 Result = RectCenterHalfDim(Center, 0.5f*Dim);

    return(Result);
}

inline bool32
IsInRectangle(rectangle3 Rectangle, v3 Test)
{
    bool32 Result = ((Test.x >= Rectangle.Min.x) &&
                     (Test.y >= Rectangle.Min.y) &&
                     (Test.z >= Rectangle.Min.z) &&
                     (Test.x < Rectangle.Max.x) &&
                     (Test.y < Rectangle.Max.y) &&
                     (Test.z < Rectangle.Max.z));

    return(Result);
}

inline bool32
RectanglesIntersect(rectangle3 A, rectangle3 B)
{
    bool32 Result = !((B.Max.x <= A.Min.x) ||
                      (B.Min.x >= A.Max.x) ||
                      (B.Max.y <= A.Min.y) ||
                      (B.Min.y >= A.Max.y) ||
                      (B.Max.z <= A.Min.z) ||
                      (B.Min.z >= A.Max.z));
    return(Result);
}

inline v3
GetBarycentric(rectangle3 A, v3 P)
{
    v3 Result;

    Result.x = SafeRatio0(P.x - A.Min.x, A.Max.x - A.Min.x);
    Result.y = SafeRatio0(P.y - A.Min.y, A.Max.y - A.Min.y);
    Result.z = SafeRatio0(P.z - A.Min.z, A.Max.z - A.Min.z);

    return(Result);
}

inline rectangle2
ToRectangleXY(rectangle3 A)
{
    rectangle2 Result;

    Result.Min = A.Min.xy;
    Result.Max = A.Max.xy;

    return(Result);
}

//
//
//

struct rectangle2i
{
    int32 MinX, MinY;
    int32 MaxX, MaxY;
};

inline rectangle2i
Intersect(rectangle2i A, rectangle2i B)
{
    rectangle2i Result;
    
    Result.MinX = (A.MinX < B.MinX) ? B.MinX : A.MinX;
    Result.MinY = (A.MinY < B.MinY) ? B.MinY : A.MinY;
    Result.MaxX = (A.MaxX > B.MaxX) ? B.MaxX : A.MaxX;
    Result.MaxY = (A.MaxY > B.MaxY) ? B.MaxY : A.MaxY;    

    return(Result);
}

inline rectangle2i
Union(rectangle2i A, rectangle2i B)
{
    rectangle2i Result;
    
    Result.MinX = (A.MinX < B.MinX) ? A.MinX : B.MinX;
    Result.MinY = (A.MinY < B.MinY) ? A.MinY : B.MinY;
    Result.MaxX = (A.MaxX > B.MaxX) ? A.MaxX : B.MaxX;
    Result.MaxY = (A.MaxY > B.MaxY) ? A.MaxY : B.MaxY;

    return(Result);
}

inline int32
GetClampedRectArea(rectangle2i A)
{
    int32 Width = (A.MaxX - A.MinX);
    int32 Height = (A.MaxY - A.MinY);
    int32 Result = 0;
    if((Width > 0) && (Height > 0))
    {
        Result = Width*Height;
    }

    return(Result);
}

inline bool32
HasArea(rectangle2i A)
{
    bool32 Result = ((A.MinX < A.MaxX) && (A.MinY < A.MaxY));

    return(Result);
}

inline rectangle2i
InvertedInfinityRectangle2i(void)
{
    rectangle2i Result;

    Result.MinX = Result.MinY = INT_MAX;
    Result.MaxX = Result.MaxY = -INT_MAX;

    return(Result);
}

inline v4
SRGB255ToLinear1(v4 C)
{
    v4 Result;

    real32 Inv255 = 1.0f / 255.0f;
    
    Result.r = Square(Inv255*C.r);
    Result.g = Square(Inv255*C.g);
    Result.b = Square(Inv255*C.b);
    Result.a = Inv255*C.a;

    return(Result);
}

inline v4
Linear1ToSRGB255(v4 C)
{
    v4 Result;

    real32 One255 = 255.0f;

    Result.r = One255*SquareRoot(C.r);
    Result.g = One255*SquareRoot(C.g);
    Result.b = One255*SquareRoot(C.b);
    Result.a = One255*C.a;

    return(Result);
}

#define HANDMADE_MATH_H
#endif