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HandmadeMath.h
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/*
HandmadeMath.h v1.2.0
This is a single header file with a bunch of useful functions for
basic game math operations.
=============================================================================
You MUST
#define HANDMADE_MATH_IMPLEMENTATION
in EXACTLY one C or C++ file that includes this header, BEFORE the
include, like this:
#define HANDMADE_MATH_IMPLEMENTATION
#include "HandmadeMath.h"
All other files should just #include "HandmadeMath.h" without the #define.
=============================================================================
For overloaded and operator overloaded versions of the base C functions,
you MUST
#define HANDMADE_MATH_CPP_MODE
in EXACTLY one C or C++ file that includes this header, BEFORE the
include, like this:
#define HANDMADE_MATH_IMPLEMENTATION
#define HANDMADE_MATH_CPP_MODE
#include "HandmadeMath.h"
All other files should just #include "HandmadeMath.h" without the #define.
=============================================================================
To disable SSE intrinsics, you MUST
#define HANDMADE_MATH_NO_SSE
in EXACTLY one C or C++ file that includes this header, BEFORE the
include, like this:
#define HANDMADE_MATH_IMPLEMENTATION
#define HANDMADE_MATH_CPP_MODE
#define HANDMADE_MATH_NO_SSE
#include "HandmadeMath.h"
or
#define HANDMADE_MATH_IMPLEMENTATION
#define HANDMADE_MATH_NO_SSE
#include "HandmadeMath.h"
=============================================================================
To disable inlining functions, you MUST
#define HANDMADE_MATH_NO_INLINE
in EXACTLY one C or C++ file that includes this header, BEFORE the
include, like this:
#define HANDMADE_MATH_IMPLEMENTATION
#define HANDMADE_MATH_CPP_MODE
#define HANDMADE_MATH_NO_INLINE
#include "HandmadeMath.h"
All other files should just #include "HandmadeMath.h" without the #define.
=============================================================================
To use HandmadeMath without the CRT, you MUST
#define HMM_SINF MySinF
#define HMM_COSF MyCosF
#define HMM_TANF MyTanF
#define HMM_SQRTF MySqrtF
#define HMM_EXPF MyExpF
#define HMM_LOGF MyLogF
#define HMM_ACOSF MyACosF
#define HMM_ATANF MyATanF
#define HMM_ATAN2F MYATan2F
Provide your own implementations of SinF, CosF, TanF, ACosF, ATanF, ATan2F,
ExpF, and LogF in EXACTLY one C or C++ file that includes this header,
BEFORE the include, like this:
#define HMM_SINF MySinF
#define HMM_COSF MyCosF
#define HMM_TANF MyTanF
#define HMM_SQRTF MySqrtF
#define HMM_EXPF MyExpF
#define HMM_LOGF MyLogF
#define HMM_ACOSF MyACosF
#define HMM_ATANF MyATanF
#define HMM_ATAN2F MyATan2F
#define HANDMADE_MATH_IMPLEMENTATION
#define HANDMADE_MATH_CPP_MODE
#include "HandmadeMath.h"
If you do not define all five of these, HandmadeMath.h will use the
versions of these functions that are provided by the CRT.
=============================================================================
Version History:
0.2 (*) Updated documentation
(*) Better C compliance
(*) Prefix all handmade math functions
(*) Better operator overloading
0.2a
(*) Prefixed Macros
0.2b
(*) Disabled warning 4201 on MSVC as it is legal is C11
(*) Removed the f at the end of HMM_PI to get 64bit precision
0.3
(*) Added +=, -=, *=, /= for hmm_vec2, hmm_vec3, hmm_vec4
0.4
(*) SSE Optimized HMM_SqrtF
(*) SSE Optimized HMM_RSqrtF
(*) Removed CRT
0.5
(*) Added scalar multiplication and division for vectors
and matrices
(*) Added matrix subtraction and += for hmm_mat4
(*) Reconciled all headers and implementations
(*) Tidied up, and filled in a few missing operators
0.5.1
(*) Ensured column-major order for matrices throughout
(*) Fixed HMM_Translate producing row-major matrices
0.5.2
(*) Fixed SSE code in HMM_SqrtF
(*) Fixed SSE code in HMM_RSqrtF
0.6
(*) Added Unit testing
(*) Made HMM_Power faster
(*) Fixed possible efficiency problem with HMM_Normalize
(*) RENAMED HMM_LengthSquareRoot to HMM_LengthSquared
(*) RENAMED HMM_RSqrtF to HMM_RSquareRootF
(*) RENAMED HMM_SqrtF to HMM_SquareRootF
(*) REMOVED Inner function (user should use Dot now)
(*) REMOVED HMM_FastInverseSquareRoot function declaration
0.7
(*) REMOVED HMM_LengthSquared in HANDMADE_MATH_IMPLEMENTATION (should
use HMM_LengthSquaredVec3, or HANDMADE_MATH_CPP_MODE for function
overloaded version)
(*) REMOVED HMM_Length in HANDMADE_MATH_IMPLEMENTATION (should use
HMM_LengthVec3, HANDMADE_MATH_CPP_MODE for function
overloaded version)
(*) REMOVED HMM_Normalize in HANDMADE_MATH_IMPLEMENTATION (should use
HMM_NormalizeVec3, or HANDMADE_MATH_CPP_MODE for function
overloaded version)
(*) Added HMM_LengthSquaredVec2
(*) Added HMM_LengthSquaredVec4
(*) Addd HMM_LengthVec2
(*) Added HMM_LengthVec4
(*) Added HMM_NormalizeVec2
(*) Added HMM_NormalizeVec4
1.0
(*) Lots of testing!
1.1
(*) Quaternion support
(*) Added type hmm_quaternion
(*) Added HMM_Quaternion
(*) Added HMM_QuaternionV4
(*) Added HMM_AddQuaternion
(*) Added HMM_SubtractQuaternion
(*) Added HMM_MultiplyQuaternion
(*) Added HMM_MultiplyQuaternionF
(*) Added HMM_DivideQuaternionF
(*) Added HMM_InverseQuaternion
(*) Added HMM_DotQuaternion
(*) Added HMM_NormalizeQuaternion
(*) Added HMM_Slerp
(*) Added HMM_QuaternionToMat4
(*) Added HMM_QuaternionFromAxisAngle
1.1.1
(*) Resolved compiler warnings on gcc and g++
1.1.2
(*) Fixed invalid HMMDEF's in the function definitions
1.1.3
(*) Fixed compile error in C mode
1.1.4
(*) Fixed SSE being included on platforms that don't support it
(*) Fixed divide-by-zero errors when normalizing zero vectors.
1.1.5
(*) Add Width and Height to HMM_Vec2
(*) Made it so you can supply your own SqrtF
1.2.0
(*) Added equality functions for HMM_Vec2, HMM_Vec3, and HMM_Vec4.
(*) Added HMM_EqualsVec2, HMM_EqualsVec3, and HMM_EqualsVec4
(*) Added C++ overloaded HMM_Equals for all three
(*) Added C++ == and != operators for all three
(*) SSE'd HMM_MultiplyMat4 (this is _WAY_ faster)
(*) SSE'd HMM_Transpose
LICENSE
This software is in the public domain. Where that dedication is not
recognized, you are granted a perpetual, irrevocable license to copy,
distribute, and modify this file as you see fit.
CREDITS
Written by Zakary Strange (zak@handmade.network && @strangezak)
Functionality:
Matt Mascarenhas (@miblo_)
Aleph
FieryDrake (@fierydrake)
Gingerbill (@TheGingerBill)
Ben Visness (@bvisness)
Trinton Bullard (@Peliex_Dev)
Fixes:
Jeroen van Rijn (@J_vanRijn)
Kiljacken (@Kiljacken)
Insofaras (@insofaras)
Daniel Gibson (@DanielGibson)
*/
/* let's figure out if SSE is really available (unless disabled anyway)
(it isn't on non-x86/x86_64 platforms or even x86 without explicit SSE support)
=> only use "#ifdef HANDMADE_MATH__USE_SSE" to check for SSE support below this block! */
#ifndef HANDMADE_MATH_NO_SSE
# ifdef _MSC_VER
/* MSVC supports SSE in amd64 mode or _M_IX86_FP >= 1 (2 means SSE2) */
# if defined(_M_AMD64) || ( defined(_M_IX86_FP) && _M_IX86_FP >= 1 )
# define HANDMADE_MATH__USE_SSE 1
# endif
# else /* not MSVC, probably GCC, clang, icc or something that doesn't support SSE anyway */
# ifdef __SSE__ /* they #define __SSE__ if it's supported */
# define HANDMADE_MATH__USE_SSE 1
# endif /* __SSE__ */
# endif /* not _MSC_VER */
#endif /* #ifndef HANDMADE_MATH_NO_SSE */
#include <stdint.h> // This is for types
#ifdef HANDMADE_MATH__USE_SSE
#include <xmmintrin.h>
#endif
#ifndef HANDMADE_MATH_H
#define HANDMADE_MATH_H
#ifdef _MSC_VER
#pragma warning(disable:4201)
#endif
#ifdef __clang__
#pragma clang diagnostic push
#pragma clang diagnostic ignored "-Wgnu-anonymous-struct"
#endif
#ifdef __cplusplus
extern "C"
{
#endif
#ifdef HANDMADE_MATH_STATIC
#define HMMDEF static
#else
#define HMMDEF extern
#endif
#ifdef HANDMADE_MATH_NO_INLINE
#define HINLINE
#elif _MSC_VER && !__INTEL_COMPILER
#define HINLINE __inline
#else
#define HINLINE inline
#endif
#if !defined(HMM_SINF) || !defined(HMM_COSF) || !defined(HMM_TANF) || \
!defined(HMM_SQRTF) || !defined(HMM_EXPF) || !defined(HMM_LOGF) || \
!defined(HMM_ACOSF) || !defined(HMM_ATANF)|| !defined(HMM_ATAN2F)
#include <math.h>
#endif
#ifndef HMM_SINF
#define HMM_SINF sinf
#endif
#ifndef HMM_COSF
#define HMM_COSF cosf
#endif
#ifndef HMM_TANF
#define HMM_TANF tanf
#endif
#ifndef HMM_SQRTF
#define HMM_SQRTF sqrtf
#endif
#ifndef HMM_EXPF
#define HMM_EXPF expf
#endif
#ifndef HMM_LOGF
#define HMM_LOGF logf
#endif
#ifndef HMM_ACOSF
#define HMM_ACOSF acosf
#endif
#ifndef HMM_ATANF
#define HMM_ATANF atanf
#endif
#ifndef HMM_ATAN2F
#define HMM_ATAN2F atan2f
#endif
#define HMM_PI32 3.14159265359f
#define HMM_PI 3.14159265358979323846
#define HMM_MIN(a, b) (a) > (b) ? (b) : (a)
#define HMM_MAX(a, b) (a) < (b) ? (b) : (a)
#define HMM_ABS(a) ((a) > 0 ? (a) : -(a))
#define HMM_MOD(a, m) ((a) % (m)) >= 0 ? ((a) % (m)) : (((a) % (m)) + (m))
#define HMM_SQUARE(x) ((x) * (x))
typedef union hmm_vec2
{
struct
{
float X, Y;
};
struct
{
float U, V;
};
struct
{
float Left, Right;
};
struct
{
float Width, Height;
};
float Elements[2];
} hmm_vec2;
typedef union hmm_vec3
{
struct
{
float X, Y, Z;
};
struct
{
float U, V, W;
};
struct
{
float R, G, B;
};
struct
{
hmm_vec2 XY;
float Ignored0_;
};
struct
{
float Ignored1_;
hmm_vec2 YZ;
};
struct
{
hmm_vec2 UV;
float Ignored2_;
};
struct
{
float Ignored3_;
hmm_vec2 VW;
};
float Elements[3];
} hmm_vec3;
typedef union hmm_vec4
{
struct
{
union
{
hmm_vec3 XYZ;
struct
{
float X, Y, Z;
};
};
float W;
};
struct
{
union
{
hmm_vec3 RGB;
struct
{
float R, G, B;
};
};
float A;
};
struct
{
hmm_vec2 XY;
float Ignored0_;
float Ignored1_;
};
struct
{
float Ignored2_;
hmm_vec2 YZ;
float Ignored3_;
};
struct
{
float Ignored4_;
float Ignored5_;
hmm_vec2 ZW;
};
float Elements[4];
} hmm_vec4;
typedef union hmm_mat4
{
float Elements[4][4];
#ifdef HANDMADE_MATH__USE_SSE
__m128 Rows[4];
#endif
} hmm_mat4;
typedef union hmm_quaternion
{
struct
{
union
{
hmm_vec3 XYZ;
struct
{
float X, Y, Z;
};
};
float W;
};
float Elements[4];
} hmm_quaternion;
typedef int32_t hmm_bool;
typedef hmm_vec2 hmm_v2;
typedef hmm_vec3 hmm_v3;
typedef hmm_vec4 hmm_v4;
typedef hmm_mat4 hmm_m4;
HMMDEF float HMM_SinF(float Angle);
HMMDEF float HMM_TanF(float Angle);
HMMDEF float HMM_ATanF(float Theta);
HMMDEF float HMM_ATan2F(float Theta, float Theta2);
HMMDEF float HMM_CosF(float Angle);
HMMDEF float HMM_ACosF(float Theta);
HMMDEF float HMM_ExpF(float Float);
HMMDEF float HMM_LogF(float Float);
HMMDEF float HMM_ToRadians(float Degrees);
HMMDEF float HMM_SquareRootF(float Float);
HMMDEF float HMM_RSquareRootF(float Float);
HMMDEF float HMM_LengthSquaredVec2(hmm_vec2 A);
HMMDEF float HMM_LengthSquaredVec3(hmm_vec3 A);
HMMDEF float HMM_LengthSquaredVec4(hmm_vec4 A);
HMMDEF float HMM_LengthVec2(hmm_vec2 A);
HMMDEF float HMM_LengthVec3(hmm_vec3 A);
HMMDEF float HMM_LengthVec4(hmm_vec4 A);
HMMDEF float HMM_Power(float Base, int Exponent);
HMMDEF float HMM_PowerF(float Base, float Exponent);
HMMDEF float HMM_Lerp(float A, float Time, float B);
HMMDEF float HMM_Clamp(float Min, float Value, float Max);
HMMDEF hmm_vec2 HMM_NormalizeVec2(hmm_vec2 A);
HMMDEF hmm_vec3 HMM_NormalizeVec3(hmm_vec3 A);
HMMDEF hmm_vec4 HMM_NormalizeVec4(hmm_vec4 A);
HMMDEF float HMM_DotVec2(hmm_vec2 VecOne, hmm_vec2 VecTwo);
HMMDEF float HMM_DotVec3(hmm_vec3 VecOne, hmm_vec3 VecTwo);
HMMDEF float HMM_DotVec4(hmm_vec4 VecOne, hmm_vec4 VecTwo);
HMMDEF hmm_vec3 HMM_Cross(hmm_vec3 VecOne, hmm_vec3 VecTwo);
HMMDEF hmm_vec2 HMM_Vec2(float X, float Y);
HMMDEF hmm_vec2 HMM_Vec2i(int X, int Y);
HMMDEF hmm_vec3 HMM_Vec3(float X, float Y, float Z);
HMMDEF hmm_vec3 HMM_Vec3i(int X, int Y, int Z);
HMMDEF hmm_vec4 HMM_Vec4(float X, float Y, float Z, float W);
HMMDEF hmm_vec4 HMM_Vec4i(int X, int Y, int Z, int W);
HMMDEF hmm_vec4 HMM_Vec4v(hmm_vec3 Vector, float W);
HMMDEF hmm_vec2 HMM_AddVec2(hmm_vec2 Left, hmm_vec2 Right);
HMMDEF hmm_vec3 HMM_AddVec3(hmm_vec3 Left, hmm_vec3 Right);
HMMDEF hmm_vec4 HMM_AddVec4(hmm_vec4 Left, hmm_vec4 Right);
HMMDEF hmm_vec2 HMM_SubtractVec2(hmm_vec2 Left, hmm_vec2 Right);
HMMDEF hmm_vec3 HMM_SubtractVec3(hmm_vec3 Left, hmm_vec3 Right);
HMMDEF hmm_vec4 HMM_SubtractVec4(hmm_vec4 Left, hmm_vec4 Right);
HMMDEF hmm_vec2 HMM_MultiplyVec2(hmm_vec2 Left, hmm_vec2 Right);
HMMDEF hmm_vec2 HMM_MultiplyVec2f(hmm_vec2 Left, float Right);
HMMDEF hmm_vec3 HMM_MultiplyVec3(hmm_vec3 Left, hmm_vec3 Right);
HMMDEF hmm_vec3 HMM_MultiplyVec3f(hmm_vec3 Left, float Right);
HMMDEF hmm_vec4 HMM_MultiplyVec4(hmm_vec4 Left, hmm_vec4 Right);
HMMDEF hmm_vec4 HMM_MultiplyVec4f(hmm_vec4 Left, float Right);
HMMDEF hmm_vec2 HMM_DivideVec2(hmm_vec2 Left, hmm_vec2 Right);
HMMDEF hmm_vec2 HMM_DivideVec2f(hmm_vec2 Left, float Right);
HMMDEF hmm_vec3 HMM_DivideVec3(hmm_vec3 Left, hmm_vec3 Right);
HMMDEF hmm_vec3 HMM_DivideVec3f(hmm_vec3 Left, float Right);
HMMDEF hmm_vec4 HMM_DivideVec4(hmm_vec4 Left, hmm_vec4 Right);
HMMDEF hmm_vec4 HMM_DivideVec4f(hmm_vec4 Left, float Right);
HMMDEF hmm_bool HMM_EqualsVec2(hmm_vec2 Left, hmm_vec2 Right);
HMMDEF hmm_bool HMM_EqualsVec3(hmm_vec3 Left, hmm_vec3 Right);
HMMDEF hmm_bool HMM_EqualsVec4(hmm_vec4 Left, hmm_vec4 Right);
HMMDEF hmm_mat4 HMM_Mat4(void);
HMMDEF hmm_mat4 HMM_Mat4d(float Diagonal);
HMMDEF hmm_mat4 HMM_AddMat4(hmm_mat4 Left, hmm_mat4 Right);
HMMDEF hmm_mat4 HMM_SubtractMat4(hmm_mat4 Left, hmm_mat4 Right);
#ifdef HANDMADE_MATH__USE_SSE
HMMDEF __m128 HMM_LinearCombineSSE(__m128 Left, hmm_mat4 Right);
#endif
HMMDEF hmm_mat4 HMM_MultiplyMat4(hmm_mat4 Left, hmm_mat4 Right);
HMMDEF hmm_mat4 HMM_MultiplyMat4f(hmm_mat4 Matrix, float Scalar);
HMMDEF hmm_vec4 HMM_MultiplyMat4ByVec4(hmm_mat4 Matrix, hmm_vec4 Vector);
HMMDEF hmm_mat4 HMM_DivideMat4f(hmm_mat4 Matrix, float Scalar);
HMMDEF hmm_mat4 HMM_Transpose(hmm_mat4 Matrix);
HMMDEF hmm_mat4 HMM_Orthographic(float Left, float Right, float Bottom, float Top, float Near, float Far);
HMMDEF hmm_mat4 HMM_Perspective(float FOV, float AspectRatio, float Near, float Far);
HMMDEF hmm_mat4 HMM_Translate(hmm_vec3 Translation);
HMMDEF hmm_mat4 HMM_Rotate(float Angle, hmm_vec3 Axis);
HMMDEF hmm_mat4 HMM_Scale(hmm_vec3 Scale);
HMMDEF hmm_mat4 HMM_LookAt(hmm_vec3 Eye, hmm_vec3 Center, hmm_vec3 Up);
HMMDEF hmm_quaternion HMM_Quaternion(float X, float Y, float Z, float W);
HMMDEF hmm_quaternion HMM_QuaternionV4(hmm_vec4 Vector);
HMMDEF hmm_quaternion HMM_AddQuaternion(hmm_quaternion Left, hmm_quaternion Right);
HMMDEF hmm_quaternion HMM_SubtractQuaternion(hmm_quaternion Left, hmm_quaternion Right);
HMMDEF hmm_quaternion HMM_MultiplyQuaternion(hmm_quaternion Left, hmm_quaternion Right);
HMMDEF hmm_quaternion HMM_MultiplyQuaternionF(hmm_quaternion Left, float Multiplicative);
HMMDEF hmm_quaternion HMM_DivideQuaternionF(hmm_quaternion Left, float Dividend);
HMMDEF hmm_quaternion HMM_InverseQuaternion(hmm_quaternion Left);
HMMDEF float HMM_DotQuaternion(hmm_quaternion Left, hmm_quaternion Right);
HMMDEF hmm_quaternion HMM_NormalizeQuaternion(hmm_quaternion Left);
HMMDEF hmm_quaternion HMM_NLerp(hmm_quaternion Left, float Time, hmm_quaternion Right);
HMMDEF hmm_quaternion HMM_Slerp(hmm_quaternion Left, float Time, hmm_quaternion Right);
HMMDEF hmm_mat4 HMM_QuaternionToMat4(hmm_quaternion Left);
HMMDEF hmm_quaternion HMM_QuaternionFromAxisAngle(hmm_vec3 Axis, float AngleOfRotation);
#ifdef __cplusplus
}
#endif
#ifdef HANDMADE_MATH_CPP_MODE
HMMDEF float HMM_Length(hmm_vec2 A);
HMMDEF float HMM_Length(hmm_vec3 A);
HMMDEF float HMM_Length(hmm_vec4 A);
HMMDEF float HMM_LengthSquared(hmm_vec2 A);
HMMDEF float HMM_LengthSquared(hmm_vec3 A);
HMMDEF float HMM_LengthSquared(hmm_vec4 A);
HMMDEF hmm_vec2 HMM_Normalize(hmm_vec2 A);
HMMDEF hmm_vec3 HMM_Normalize(hmm_vec3 A);
HMMDEF hmm_vec4 HMM_Normalize(hmm_vec4 A);
HMMDEF hmm_quaternion HMM_Normalize(hmm_quaternion A);
HMMDEF float HMM_Dot(hmm_vec2 VecOne, hmm_vec2 VecTwo);
HMMDEF float HMM_Dot(hmm_vec3 VecOne, hmm_vec3 VecTwo);
HMMDEF float HMM_Dot(hmm_vec4 VecOne, hmm_vec4 VecTwo);
HMMDEF float HMM_Dot(hmm_quaternion QuatOne, hmm_quaternion QuatTwo);
HMMDEF hmm_vec2 HMM_Add(hmm_vec2 Left, hmm_vec2 Right);
HMMDEF hmm_vec3 HMM_Add(hmm_vec3 Left, hmm_vec3 Right);
HMMDEF hmm_vec4 HMM_Add(hmm_vec4 Left, hmm_vec4 Right);
HMMDEF hmm_mat4 HMM_Add(hmm_mat4 Left, hmm_mat4 Right);
HMMDEF hmm_quaternion HMM_Add(hmm_quaternion Left, hmm_quaternion Right);
HMMDEF hmm_vec2 HMM_Subtract(hmm_vec2 Left, hmm_vec2 Right);
HMMDEF hmm_vec3 HMM_Subtract(hmm_vec3 Left, hmm_vec3 Right);
HMMDEF hmm_vec4 HMM_Subtract(hmm_vec4 Left, hmm_vec4 Right);
HMMDEF hmm_mat4 HMM_Subtract(hmm_mat4 Left, hmm_mat4 Right);
HMMDEF hmm_quaternion HMM_Subtract(hmm_quaternion Left, hmm_quaternion Right);
HMMDEF hmm_vec2 HMM_Multiply(hmm_vec2 Left, hmm_vec2 Right);
HMMDEF hmm_vec2 HMM_Multiply(hmm_vec2 Left, float Right);
HMMDEF hmm_vec3 HMM_Multiply(hmm_vec3 Left, hmm_vec3 Right);
HMMDEF hmm_vec3 HMM_Multiply(hmm_vec3 Left, float Right);
HMMDEF hmm_vec4 HMM_Multiply(hmm_vec4 Left, hmm_vec4 Right);
HMMDEF hmm_vec4 HMM_Multiply(hmm_vec4 Left, float Right);
HMMDEF hmm_mat4 HMM_Multiply(hmm_mat4 Left, hmm_mat4 Right);
HMMDEF hmm_mat4 HMM_Multiply(hmm_mat4 Left, float Right);
HMMDEF hmm_vec4 HMM_Multiply(hmm_mat4 Matrix, hmm_vec4 Vector);
HMMDEF hmm_quaternion HMM_Multiply(hmm_quaternion Left, hmm_quaternion Right);
HMMDEF hmm_quaternion HMM_Multiply(hmm_quaternion Left, float Right);
HMMDEF hmm_vec2 HMM_Divide(hmm_vec2 Left, hmm_vec2 Right);
HMMDEF hmm_vec2 HMM_Divide(hmm_vec2 Left, float Right);
HMMDEF hmm_vec3 HMM_Divide(hmm_vec3 Left, hmm_vec3 Right);
HMMDEF hmm_vec3 HMM_Divide(hmm_vec3 Left, float Right);
HMMDEF hmm_vec4 HMM_Divide(hmm_vec4 Left, hmm_vec4 Right);
HMMDEF hmm_vec4 HMM_Divide(hmm_vec4 Left, float Right);
HMMDEF hmm_mat4 HMM_Divide(hmm_mat4 Left, float Right);
HMMDEF hmm_quaternion HMM_Divide(hmm_quaternion Left, hmm_quaternion Right);
HMMDEF hmm_quaternion HMM_Divide(hmm_quaternion Left, float Right);
HMMDEF hmm_bool HMM_Equals(hmm_vec2 Left, hmm_vec2 Right);
HMMDEF hmm_bool HMM_Equals(hmm_vec3 Left, hmm_vec3 Right);
HMMDEF hmm_bool HMM_Equals(hmm_vec4 Left, hmm_vec4 Right);
HMMDEF hmm_vec2 operator+(hmm_vec2 Left, hmm_vec2 Right);
HMMDEF hmm_vec3 operator+(hmm_vec3 Left, hmm_vec3 Right);
HMMDEF hmm_vec4 operator+(hmm_vec4 Left, hmm_vec4 Right);
HMMDEF hmm_mat4 operator+(hmm_mat4 Left, hmm_mat4 Right);
HMMDEF hmm_quaternion operator+(hmm_quaternion Left, hmm_quaternion Right);
HMMDEF hmm_vec2 operator-(hmm_vec2 Left, hmm_vec2 Right);
HMMDEF hmm_vec3 operator-(hmm_vec3 Left, hmm_vec3 Right);
HMMDEF hmm_vec4 operator-(hmm_vec4 Left, hmm_vec4 Right);
HMMDEF hmm_mat4 operator-(hmm_mat4 Left, hmm_mat4 Right);
HMMDEF hmm_quaternion operator-(hmm_quaternion Left, hmm_quaternion Right);
HMMDEF hmm_vec2 operator*(hmm_vec2 Left, hmm_vec2 Right);
HMMDEF hmm_vec3 operator*(hmm_vec3 Left, hmm_vec3 Right);
HMMDEF hmm_vec4 operator*(hmm_vec4 Left, hmm_vec4 Right);
HMMDEF hmm_mat4 operator*(hmm_mat4 Left, hmm_mat4 Right);
HMMDEF hmm_quaternion operator*(hmm_quaternion Left, hmm_quaternion Right);
HMMDEF hmm_vec2 operator*(hmm_vec2 Left, float Right);
HMMDEF hmm_vec3 operator*(hmm_vec3 Left, float Right);
HMMDEF hmm_vec4 operator*(hmm_vec4 Left, float Right);
HMMDEF hmm_mat4 operator*(hmm_mat4 Left, float Right);
HMMDEF hmm_quaternion operator*(hmm_quaternion Left, float Right);
HMMDEF hmm_vec2 operator*(float Left, hmm_vec2 Right);
HMMDEF hmm_vec3 operator*(float Left, hmm_vec3 Right);
HMMDEF hmm_vec4 operator*(float Left, hmm_vec4 Right);
HMMDEF hmm_mat4 operator*(float Left, hmm_mat4 Right);
HMMDEF hmm_quaternion operator*(float Left, hmm_quaternion Right);
HMMDEF hmm_vec4 operator*(hmm_mat4 Matrix, hmm_vec4 Vector);
HMMDEF hmm_vec2 operator/(hmm_vec2 Left, hmm_vec2 Right);
HMMDEF hmm_vec3 operator/(hmm_vec3 Left, hmm_vec3 Right);
HMMDEF hmm_vec4 operator/(hmm_vec4 Left, hmm_vec4 Right);
HMMDEF hmm_vec2 operator/(hmm_vec2 Left, float Right);
HMMDEF hmm_vec3 operator/(hmm_vec3 Left, float Right);
HMMDEF hmm_vec4 operator/(hmm_vec4 Left, float Right);
HMMDEF hmm_mat4 operator/(hmm_mat4 Left, float Right);
HMMDEF hmm_quaternion operator/(hmm_quaternion Left, float Right);
HMMDEF hmm_vec2 &operator+=(hmm_vec2 &Left, hmm_vec2 Right);
HMMDEF hmm_vec3 &operator+=(hmm_vec3 &Left, hmm_vec3 Right);
HMMDEF hmm_vec4 &operator+=(hmm_vec4 &Left, hmm_vec4 Right);
HMMDEF hmm_mat4 &operator+=(hmm_mat4 &Left, hmm_mat4 Right);
HMMDEF hmm_quaternion &operator+=(hmm_quaternion &Left, hmm_quaternion Right);
HMMDEF hmm_vec2 &operator-=(hmm_vec2 &Left, hmm_vec2 Right);
HMMDEF hmm_vec3 &operator-=(hmm_vec3 &Left, hmm_vec3 Right);
HMMDEF hmm_vec4 &operator-=(hmm_vec4 &Left, hmm_vec4 Right);
HMMDEF hmm_mat4 &operator-=(hmm_mat4 &Left, hmm_mat4 Right);
HMMDEF hmm_quaternion &operator-=(hmm_quaternion &Left, hmm_quaternion Right);
HMMDEF hmm_vec2 &operator*=(hmm_vec2 &Left, hmm_vec2 Right);
HMMDEF hmm_vec3 &operator*=(hmm_vec3 &Left, hmm_vec3 Right);
HMMDEF hmm_vec4 &operator*=(hmm_vec4 &Left, hmm_vec4 Right);
HMMDEF hmm_vec2 &operator*=(hmm_vec2 &Left, float Right);
HMMDEF hmm_vec3 &operator*=(hmm_vec3 &Left, float Right);
HMMDEF hmm_vec4 &operator*=(hmm_vec4 &Left, float Right);
HMMDEF hmm_mat4 &operator*=(hmm_mat4 &Left, float Right);
HMMDEF hmm_quaternion &operator*=(hmm_quaternion &Left, float Right);
HMMDEF hmm_vec2 &operator/=(hmm_vec2 &Left, hmm_vec2 Right);
HMMDEF hmm_vec3 &operator/=(hmm_vec3 &Left, hmm_vec3 Right);
HMMDEF hmm_vec4 &operator/=(hmm_vec4 &Left, hmm_vec4 Right);
HMMDEF hmm_vec2 &operator/=(hmm_vec2 &Left, float Right);
HMMDEF hmm_vec3 &operator/=(hmm_vec3 &Left, float Right);
HMMDEF hmm_vec4 &operator/=(hmm_vec4 &Left, float Right);
HMMDEF hmm_mat4 &operator/=(hmm_mat4 &Left, float Right);
HMMDEF hmm_quaternion &operator/=(hmm_quaternion &Left, float Right);
HMMDEF hmm_bool operator==(hmm_vec2 Left, hmm_vec2 Right);
HMMDEF hmm_bool operator==(hmm_vec3 Left, hmm_vec3 Right);
HMMDEF hmm_bool operator==(hmm_vec4 Left, hmm_vec4 Right);
HMMDEF hmm_bool operator!=(hmm_vec2 Left, hmm_vec2 Right);
HMMDEF hmm_bool operator!=(hmm_vec3 Left, hmm_vec3 Right);
HMMDEF hmm_bool operator!=(hmm_vec4 Left, hmm_vec4 Right);
#endif /* HANDMADE_MATH_CPP */
#ifdef __clang__
#pragma clang diagnostic pop
#endif
#endif /* HANDMADE_MATH_H */
#ifdef HANDMADE_MATH_IMPLEMENTATION
#ifdef __clang__
#pragma clang diagnostic push
#pragma clang diagnostic ignored "-Wmissing-field-initializers"
#pragma clang diagnostic ignored "-Wmissing-braces"
#endif
HINLINE float
HMM_SinF(float Angle)
{
float Result = 0.0f;
Result = HMM_SINF(Angle);
return (Result);
}
HINLINE float
HMM_CosF(float Angle)
{
float Result = 0.0f;
Result = HMM_COSF(Angle);
return (Result);
}
HINLINE float
HMM_TanF(float Radians)
{
float Result = 0.0f;
Result = HMM_TANF(Radians);
return (Result);
}
HINLINE float
HMM_ACosF(float Radians)
{
float Result = 0.0f;
Result = HMM_ACOSF(Radians);
return (Result);
}
HINLINE float
HMM_ATanF(float Radians)
{
float Result = 0.0f;
Result = HMM_ATANF(Radians);
return (Result);
}
HINLINE float
HMM_Atan2F(float Left, float Right)
{
float Result = 0.0f;
Result = HMM_ATAN2F(Left, Right);
return (Result);
}
HINLINE float
HMM_ExpF(float Float)
{
float Result = 0.0f;
Result = HMM_EXPF(Float);
return (Result);
}
HINLINE float
HMM_LogF(float Float)
{
float Result = 0.0f;
Result = HMM_LOGF(Float);
return (Result);
}
HINLINE float
HMM_ToRadians(float Degrees)
{
float Result = 0.0f;
Result = Degrees * (HMM_PI32 / 180.0f);
return (Result);
}
HINLINE float
HMM_SquareRootF(float Value)
{
float Result = 0.0f;
#ifdef HANDMADE_MATH__USE_SSE
__m128 In = _mm_set_ss(Value);
__m128 Out = _mm_sqrt_ss(In);
Result = _mm_cvtss_f32(Out);
#else
Result = HMM_SQRTF(Value);
#endif
return(Result);
}
HINLINE float
HMM_RSquareRootF(float Value)
{
float Result = 0.0f;
#ifdef HANDMADE_MATH__USE_SSE
__m128 In = _mm_set_ss(Value);
__m128 Out = _mm_rsqrt_ss(In);
Result = _mm_cvtss_f32(Out);
#else
Result = 1.0f/HMM_SquareRootF(Value);
#endif
return(Result);
}
HINLINE float
HMM_LengthSquaredVec2(hmm_vec2 A)
{
float Result = 0.0f;
Result = HMM_DotVec2(A, A);
return(Result);
}
HINLINE float
HMM_LengthSquaredVec3(hmm_vec3 A)
{
float Result = 0.0f;
Result = HMM_DotVec3(A, A);
return (Result);
}
HINLINE float
HMM_LengthSquaredVec4(hmm_vec4 A)
{
float Result = 0.0f;
Result = HMM_DotVec4(A, A);
return(Result);
}
HINLINE float
HMM_LengthVec2(hmm_vec2 A)
{
float Result = 0.0f;
Result = HMM_SquareRootF(HMM_LengthSquaredVec2(A));
return(Result);
}
HINLINE float
HMM_LengthVec3(hmm_vec3 A)
{
float Result = 0.0f;
Result = HMM_SquareRootF(HMM_LengthSquaredVec3(A));
return (Result);
}
HINLINE float
HMM_LengthVec4(hmm_vec4 A)
{
float Result = 0.0f;
Result = HMM_SquareRootF(HMM_LengthSquaredVec4(A));
return(Result);
}
HINLINE float
HMM_Power(float Base, int Exponent)
{
float Result = 1.0f;
float Mul = Exponent < 0 ? 1.f / Base : Base;
unsigned int X = Exponent < 0 ? -Exponent : Exponent;
while (X)
{
if (X & 1)
{
Result *= Mul;
}
Mul *= Mul;
X >>= 1;
}
return (Result);
}
HINLINE float
HMM_PowerF(float Base, float Exponent)
{
return HMM_EXPF(Exponent * HMM_LOGF(Base));
}
HINLINE float
HMM_Lerp(float A, float Time, float B)
{
float Result = 0;
Result = (1.0f - Time) * A + Time * B;
return (Result);
}
HINLINE float
HMM_Clamp(float Min, float Value, float Max)
{
float Result = Value;
if(Result < Min)
{
Result = Min;
}
else if(Result > Max)
{
Result = Max;
}
return (Result);
}
HINLINE hmm_vec2
HMM_NormalizeVec2(hmm_vec2 A)
{
hmm_vec2 Result = {0};
float VectorLength = HMM_LengthVec2(A);
/* NOTE(kiljacken): We need a zero check to not divide-by-zero */
if (VectorLength != 0.0f)
{
Result.X = A.X * (1.0f / VectorLength);
Result.Y = A.Y * (1.0f / VectorLength);
}
return (Result);
}