2022-03-22 18:13:06 +00:00
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/*
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HandmadeMath.h v1.2.0
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This is a single header file with a bunch of useful functions for
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basic game math operations.
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=============================================================================
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You MUST
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#define HANDMADE_MATH_IMPLEMENTATION
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in EXACTLY one C or C++ file that includes this header, BEFORE the
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include, like this:
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#define HANDMADE_MATH_IMPLEMENTATION
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#include "HandmadeMath.h"
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All other files should just #include "HandmadeMath.h" without the #define.
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=============================================================================
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For overloaded and operator overloaded versions of the base C functions,
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you MUST
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#define HANDMADE_MATH_CPP_MODE
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in EXACTLY one C or C++ file that includes this header, BEFORE the
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include, like this:
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#define HANDMADE_MATH_IMPLEMENTATION
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#define HANDMADE_MATH_CPP_MODE
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#include "HandmadeMath.h"
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All other files should just #include "HandmadeMath.h" without the #define.
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=============================================================================
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To disable SSE intrinsics, you MUST
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#define HANDMADE_MATH_NO_SSE
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in EXACTLY one C or C++ file that includes this header, BEFORE the
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include, like this:
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#define HANDMADE_MATH_IMPLEMENTATION
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#define HANDMADE_MATH_CPP_MODE
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#define HANDMADE_MATH_NO_SSE
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#include "HandmadeMath.h"
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or
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#define HANDMADE_MATH_IMPLEMENTATION
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#define HANDMADE_MATH_NO_SSE
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#include "HandmadeMath.h"
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=============================================================================
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To disable inlining functions, you MUST
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#define HANDMADE_MATH_NO_INLINE
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in EXACTLY one C or C++ file that includes this header, BEFORE the
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include, like this:
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#define HANDMADE_MATH_IMPLEMENTATION
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#define HANDMADE_MATH_CPP_MODE
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#define HANDMADE_MATH_NO_INLINE
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#include "HandmadeMath.h"
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All other files should just #include "HandmadeMath.h" without the #define.
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=============================================================================
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To use HandmadeMath without the CRT, you MUST
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#define HMM_SINF MySinF
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#define HMM_COSF MyCosF
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#define HMM_TANF MyTanF
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#define HMM_SQRTF MySqrtF
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#define HMM_EXPF MyExpF
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#define HMM_LOGF MyLogF
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#define HMM_ACOSF MyACosF
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#define HMM_ATANF MyATanF
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#define HMM_ATAN2F MYATan2F
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Provide your own implementations of SinF, CosF, TanF, ACosF, ATanF, ATan2F,
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ExpF, and LogF in EXACTLY one C or C++ file that includes this header,
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BEFORE the include, like this:
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#define HMM_SINF MySinF
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#define HMM_COSF MyCosF
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#define HMM_TANF MyTanF
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#define HMM_SQRTF MySqrtF
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#define HMM_EXPF MyExpF
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#define HMM_LOGF MyLogF
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#define HMM_ACOSF MyACosF
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#define HMM_ATANF MyATanF
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#define HMM_ATAN2F MyATan2F
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#define HANDMADE_MATH_IMPLEMENTATION
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#define HANDMADE_MATH_CPP_MODE
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#include "HandmadeMath.h"
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If you do not define all five of these, HandmadeMath.h will use the
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versions of these functions that are provided by the CRT.
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=============================================================================
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Version History:
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0.2 (*) Updated documentation
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(*) Better C compliance
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(*) Prefix all handmade math functions
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(*) Better operator overloading
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0.2a
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(*) Prefixed Macros
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0.2b
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(*) Disabled warning 4201 on MSVC as it is legal is C11
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(*) Removed the f at the end of HMM_PI to get 64bit precision
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0.3
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(*) Added +=, -=, *=, /= for hmm_vec2, hmm_vec3, hmm_vec4
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0.4
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(*) SSE Optimized HMM_SqrtF
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(*) SSE Optimized HMM_RSqrtF
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(*) Removed CRT
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0.5
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(*) Added scalar multiplication and division for vectors
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and matrices
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(*) Added matrix subtraction and += for hmm_mat4
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(*) Reconciled all headers and implementations
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(*) Tidied up, and filled in a few missing operators
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0.5.1
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(*) Ensured column-major order for matrices throughout
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(*) Fixed HMM_Translate producing row-major matrices
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0.5.2
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(*) Fixed SSE code in HMM_SqrtF
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(*) Fixed SSE code in HMM_RSqrtF
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0.6
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(*) Added Unit testing
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(*) Made HMM_Power faster
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(*) Fixed possible efficiency problem with HMM_Normalize
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(*) RENAMED HMM_LengthSquareRoot to HMM_LengthSquared
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(*) RENAMED HMM_RSqrtF to HMM_RSquareRootF
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(*) RENAMED HMM_SqrtF to HMM_SquareRootF
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(*) REMOVED Inner function (user should use Dot now)
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(*) REMOVED HMM_FastInverseSquareRoot function declaration
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0.7
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(*) REMOVED HMM_LengthSquared in HANDMADE_MATH_IMPLEMENTATION (should
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use HMM_LengthSquaredVec3, or HANDMADE_MATH_CPP_MODE for function
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overloaded version)
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(*) REMOVED HMM_Length in HANDMADE_MATH_IMPLEMENTATION (should use
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HMM_LengthVec3, HANDMADE_MATH_CPP_MODE for function
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overloaded version)
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(*) REMOVED HMM_Normalize in HANDMADE_MATH_IMPLEMENTATION (should use
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HMM_NormalizeVec3, or HANDMADE_MATH_CPP_MODE for function
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overloaded version)
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(*) Added HMM_LengthSquaredVec2
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(*) Added HMM_LengthSquaredVec4
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(*) Addd HMM_LengthVec2
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(*) Added HMM_LengthVec4
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(*) Added HMM_NormalizeVec2
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(*) Added HMM_NormalizeVec4
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1.0
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(*) Lots of testing!
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1.1
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(*) Quaternion support
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(*) Added type hmm_quaternion
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(*) Added HMM_Quaternion
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(*) Added HMM_QuaternionV4
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(*) Added HMM_AddQuaternion
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(*) Added HMM_SubtractQuaternion
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(*) Added HMM_MultiplyQuaternion
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(*) Added HMM_MultiplyQuaternionF
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(*) Added HMM_DivideQuaternionF
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(*) Added HMM_InverseQuaternion
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(*) Added HMM_DotQuaternion
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(*) Added HMM_NormalizeQuaternion
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(*) Added HMM_Slerp
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(*) Added HMM_QuaternionToMat4
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(*) Added HMM_QuaternionFromAxisAngle
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1.1.1
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(*) Resolved compiler warnings on gcc and g++
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1.1.2
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(*) Fixed invalid HMMDEF's in the function definitions
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1.1.3
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(*) Fixed compile error in C mode
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1.1.4
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(*) Fixed SSE being included on platforms that don't support it
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(*) Fixed divide-by-zero errors when normalizing zero vectors.
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1.1.5
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(*) Add Width and Height to HMM_Vec2
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(*) Made it so you can supply your own SqrtF
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1.2.0
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(*) Added equality functions for HMM_Vec2, HMM_Vec3, and HMM_Vec4.
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(*) Added HMM_EqualsVec2, HMM_EqualsVec3, and HMM_EqualsVec4
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(*) Added C++ overloaded HMM_Equals for all three
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(*) Added C++ == and != operators for all three
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(*) SSE'd HMM_MultiplyMat4 (this is _WAY_ faster)
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(*) SSE'd HMM_Transpose
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LICENSE
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This software is in the public domain. Where that dedication is not
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recognized, you are granted a perpetual, irrevocable license to copy,
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distribute, and modify this file as you see fit.
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CREDITS
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Written by Zakary Strange (zak@handmade.network && @strangezak)
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Functionality:
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Matt Mascarenhas (@miblo_)
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Aleph
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FieryDrake (@fierydrake)
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Gingerbill (@TheGingerBill)
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Ben Visness (@bvisness)
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Trinton Bullard (@Peliex_Dev)
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Fixes:
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Jeroen van Rijn (@J_vanRijn)
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Kiljacken (@Kiljacken)
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Insofaras (@insofaras)
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Daniel Gibson (@DanielGibson)
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*/
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/* let's figure out if SSE is really available (unless disabled anyway)
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(it isn't on non-x86/x86_64 platforms or even x86 without explicit SSE support)
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=> only use "#ifdef HANDMADE_MATH__USE_SSE" to check for SSE support below this block! */
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#ifndef HANDMADE_MATH_NO_SSE
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# ifdef _MSC_VER
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/* MSVC supports SSE in amd64 mode or _M_IX86_FP >= 1 (2 means SSE2) */
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# if defined(_M_AMD64) || ( defined(_M_IX86_FP) && _M_IX86_FP >= 1 )
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# define HANDMADE_MATH__USE_SSE 1
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# endif
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# else /* not MSVC, probably GCC, clang, icc or something that doesn't support SSE anyway */
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# ifdef __SSE__ /* they #define __SSE__ if it's supported */
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# define HANDMADE_MATH__USE_SSE 1
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# endif /* __SSE__ */
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# endif /* not _MSC_VER */
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#endif /* #ifndef HANDMADE_MATH_NO_SSE */
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#include <stdint.h> // This is for types
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#ifdef HANDMADE_MATH__USE_SSE
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#include <xmmintrin.h>
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#endif
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#ifndef HANDMADE_MATH_H
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#define HANDMADE_MATH_H
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#ifdef _MSC_VER
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#pragma warning(disable:4201)
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#endif
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#ifdef __clang__
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#pragma clang diagnostic push
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#pragma clang diagnostic ignored "-Wgnu-anonymous-struct"
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#endif
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#ifdef __cplusplus
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extern "C"
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{
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#endif
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#ifdef HANDMADE_MATH_STATIC
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#define HMMDEF static
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#else
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#define HMMDEF extern
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#endif
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#ifdef HANDMADE_MATH_NO_INLINE
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#define HINLINE
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#elif _MSC_VER && !__INTEL_COMPILER
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#define HINLINE __inline
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#else
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#define HINLINE inline
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#endif
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#if !defined(HMM_SINF) || !defined(HMM_COSF) || !defined(HMM_TANF) || \
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!defined(HMM_SQRTF) || !defined(HMM_EXPF) || !defined(HMM_LOGF) || \
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!defined(HMM_ACOSF) || !defined(HMM_ATANF)|| !defined(HMM_ATAN2F)
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#include <math.h>
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#endif
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#ifndef HMM_SINF
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#define HMM_SINF sinf
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#endif
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#ifndef HMM_COSF
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#define HMM_COSF cosf
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#endif
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#ifndef HMM_TANF
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#define HMM_TANF tanf
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#endif
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#ifndef HMM_SQRTF
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#define HMM_SQRTF sqrtf
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#endif
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#ifndef HMM_EXPF
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#define HMM_EXPF expf
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#endif
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#ifndef HMM_LOGF
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#define HMM_LOGF logf
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#endif
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#ifndef HMM_ACOSF
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#define HMM_ACOSF acosf
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#endif
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#ifndef HMM_ATANF
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#define HMM_ATANF atanf
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#endif
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#ifndef HMM_ATAN2F
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#define HMM_ATAN2F atan2f
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#endif
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#define HMM_PI32 3.14159265359f
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#define HMM_PI 3.14159265358979323846
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#define HMM_MIN(a, b) (a) > (b) ? (b) : (a)
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#define HMM_MAX(a, b) (a) < (b) ? (b) : (a)
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#define HMM_ABS(a) ((a) > 0 ? (a) : -(a))
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#define HMM_MOD(a, m) ((a) % (m)) >= 0 ? ((a) % (m)) : (((a) % (m)) + (m))
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#define HMM_SQUARE(x) ((x) * (x))
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typedef union hmm_vec2
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{
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struct
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{
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float X, Y;
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};
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struct
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{
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float x, y;
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};
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struct
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{
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float U, V;
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};
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struct
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{
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float Left, Right;
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};
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struct
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{
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float Width, Height;
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};
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float Elements[2];
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} hmm_vec2;
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typedef union hmm_vec3
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{
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struct
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{
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float X, Y, Z;
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};
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struct
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{
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float x, y, z;
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};
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struct
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{
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float U, V, W;
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};
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struct
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{
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float R, G, B;
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};
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struct
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{
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hmm_vec2 XY;
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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 xyz;
|
|
|
|
struct
|
|
|
|
{
|
|
|
|
float x, y, z;
|
|
|
|
};
|
|
|
|
};
|
|
|
|
|
|
|
|
float w;
|
|
|
|
};
|
|
|
|
struct
|
|
|
|
{
|
|
|
|
union
|
|
|
|
{
|
|
|
|
hmm_vec3 RGB;
|
|
|
|
struct
|
|
|
|
{
|
|
|
|
float R, G, B;
|
|
|
|
};
|
2022-03-27 10:47:18 +00:00
|
|
|
struct
|
|
|
|
{
|
|
|
|
float r, g, b;
|
|
|
|
};
|
2022-03-22 18:13:06 +00:00
|
|
|
};
|
|
|
|
|
2022-03-27 10:47:18 +00:00
|
|
|
union
|
|
|
|
{
|
|
|
|
float A;
|
|
|
|
float a;
|
|
|
|
};
|
2022-03-22 18:13:06 +00:00
|
|
|
};
|
|
|
|
|
|
|
|
struct
|
|
|
|
{
|
|
|
|
hmm_vec2 XY;
|
|
|
|
float Ignored0_;
|
|
|
|
float Ignored1_;
|
|
|
|
};
|
2022-04-06 18:29:32 +00:00
|
|
|
struct
|
|
|
|
{
|
|
|
|
hmm_vec2 xy;
|
|
|
|
float Ignored0b_;
|
|
|
|
float Ignored1b_;
|
|
|
|
};
|
2022-03-22 18:13:06 +00:00
|
|
|
|
|
|
|
struct
|
|
|
|
{
|
|
|
|
float Ignored2_;
|
|
|
|
hmm_vec2 YZ;
|
|
|
|
float Ignored3_;
|
|
|
|
};
|
2022-04-06 18:29:32 +00:00
|
|
|
struct
|
|
|
|
{
|
|
|
|
float Ignored2b_;
|
|
|
|
hmm_vec2 yz;
|
|
|
|
float Ignored3b_;
|
|
|
|
};
|
2022-03-22 18:13:06 +00:00
|
|
|
|
|
|
|
struct
|
|
|
|
{
|
|
|
|
float Ignored4_;
|
|
|
|
float Ignored5_;
|
|
|
|
hmm_vec2 ZW;
|
|
|
|
};
|
|
|
|
|
2022-04-06 18:29:32 +00:00
|
|
|
struct
|
|
|
|
{
|
|
|
|
float Ignored4b_;
|
|
|
|
float Ignored5b_;
|
|
|
|
hmm_vec2 zw;
|
|
|
|
};
|
|
|
|
|
2022-03-22 18:13:06 +00:00
|
|
|
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 struct
|
|
|
|
{
|
|
|
|
hmm_vec2 ValueMin;
|
|
|
|
hmm_vec2 ValueMax;
|
|
|
|
} hmm_vec2r;
|
|
|
|
|
|
|
|
typedef struct
|
|
|
|
{
|
|
|
|
hmm_vec3 ValueMin;
|
|
|
|
hmm_vec3 ValueMax;
|
|
|
|
} hmm_vec3r;
|
|
|
|
|
|
|
|
typedef struct
|
|
|
|
{
|
|
|
|
hmm_vec4 ValueMin;
|
|
|
|
hmm_vec4 ValueMax;
|
|
|
|
} hmm_vec4r;
|
|
|
|
|
|
|
|
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;
|
|
|
|
typedef hmm_vec2r hmm_v2r;
|
|
|
|
typedef hmm_vec3r hmm_v3r;
|
|
|
|
typedef hmm_vec4r hmm_v4r;
|
|
|
|
|
|
|
|
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);
|
|
|
|
|
|
|
|
HMMDEF hmm_mat4 HMM_Mat4Identity();
|
|
|
|
HMMDEF hmm_vec2 HMM_LerpV2(hmm_vec2 A, float T, hmm_vec2 B);
|
|
|
|
HMMDEF hmm_vec3 HMM_LerpV3(hmm_vec3 A, float T, hmm_vec3 B);
|
|
|
|
HMMDEF hmm_vec4 HMM_LerpV4(hmm_vec4 A, float T, hmm_vec4 B);
|
|
|
|
HMMDEF hmm_vec4 HMM_AverageVec3(hmm_vec4* Arr, unsigned int Len);
|
|
|
|
HMMDEF hmm_vec4 HMM_AverageVec4(hmm_vec4* Arr, unsigned int Len);
|
|
|
|
HMMDEF bool HMM_SameSide(hmm_vec3 P1, hmm_vec3 P2, hmm_vec3 A, hmm_vec3 B);
|
|
|
|
HMMDEF bool HMM_PointInTriangle(hmm_vec3 P, hmm_vec3 T0, hmm_vec3 T1, hmm_vec3 T2);
|
|
|
|
|
|
|
|
#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;
|
|
|
|
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);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec3
|
|
|
|
HMM_NormalizeVec3(hmm_vec3 A)
|
|
|
|
{
|
|
|
|
hmm_vec3 Result = {0};
|
|
|
|
|
|
|
|
float VectorLength = HMM_LengthVec3(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);
|
|
|
|
Result.Z = A.Z * (1.0f / VectorLength);
|
|
|
|
}
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4
|
|
|
|
HMM_NormalizeVec4(hmm_vec4 A)
|
|
|
|
{
|
|
|
|
hmm_vec4 Result = {0};
|
|
|
|
|
|
|
|
float VectorLength = HMM_LengthVec4(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);
|
|
|
|
Result.Z = A.Z * (1.0f / VectorLength);
|
|
|
|
Result.W = A.W * (1.0f / VectorLength);
|
|
|
|
}
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE float
|
|
|
|
HMM_DotVec2(hmm_vec2 VecOne, hmm_vec2 VecTwo)
|
|
|
|
{
|
|
|
|
float Result = 0.0f;
|
|
|
|
|
|
|
|
Result = (VecOne.X * VecTwo.X) + (VecOne.Y * VecTwo.Y);
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE float
|
|
|
|
HMM_DotVec3(hmm_vec3 VecOne, hmm_vec3 VecTwo)
|
|
|
|
{
|
|
|
|
float Result = 0.0f;
|
|
|
|
|
|
|
|
Result = (VecOne.X * VecTwo.X) + (VecOne.Y * VecTwo.Y) + (VecOne.Z * VecTwo.Z);
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE float
|
|
|
|
HMM_DotVec4(hmm_vec4 VecOne, hmm_vec4 VecTwo)
|
|
|
|
{
|
|
|
|
float Result = 0.0f;
|
|
|
|
|
|
|
|
Result = (VecOne.X * VecTwo.X) + (VecOne.Y * VecTwo.Y) + (VecOne.Z * VecTwo.Z) + (VecOne.W * VecTwo.W);
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec3
|
|
|
|
HMM_Cross(hmm_vec3 VecOne, hmm_vec3 VecTwo)
|
|
|
|
{
|
|
|
|
hmm_vec3 Result = {0};
|
|
|
|
|
|
|
|
Result.X = (VecOne.Y * VecTwo.Z) - (VecOne.Z * VecTwo.Y);
|
|
|
|
Result.Y = (VecOne.Z * VecTwo.X) - (VecOne.X * VecTwo.Z);
|
|
|
|
Result.Z = (VecOne.X * VecTwo.Y) - (VecOne.Y * VecTwo.X);
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec2
|
|
|
|
HMM_Vec2(float X, float Y)
|
|
|
|
{
|
|
|
|
hmm_vec2 Result = {0};
|
|
|
|
|
|
|
|
Result.X = X;
|
|
|
|
Result.Y = Y;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec2
|
|
|
|
HMM_Vec2i(int X, int Y)
|
|
|
|
{
|
|
|
|
hmm_vec2 Result = {0};
|
|
|
|
|
|
|
|
Result.X = (float)X;
|
|
|
|
Result.Y = (float)Y;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec3
|
|
|
|
HMM_Vec3(float X, float Y, float Z)
|
|
|
|
{
|
|
|
|
hmm_vec3 Result = {0};
|
|
|
|
|
|
|
|
Result.X = X;
|
|
|
|
Result.Y = Y;
|
|
|
|
Result.Z = Z;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec3
|
|
|
|
HMM_Vec3i(int X, int Y, int Z)
|
|
|
|
{
|
|
|
|
hmm_vec3 Result = {0};
|
|
|
|
|
|
|
|
Result.X = (float)X;
|
|
|
|
Result.Y = (float)Y;
|
|
|
|
Result.Z = (float)Z;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4
|
|
|
|
HMM_Vec4(float X, float Y, float Z, float W)
|
|
|
|
{
|
|
|
|
hmm_vec4 Result = {0};
|
|
|
|
|
|
|
|
Result.X = X;
|
|
|
|
Result.Y = Y;
|
|
|
|
Result.Z = Z;
|
|
|
|
Result.W = W;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4
|
|
|
|
HMM_Vec4i(int X, int Y, int Z, int W)
|
|
|
|
{
|
|
|
|
hmm_vec4 Result = {0};
|
|
|
|
|
|
|
|
Result.X = (float)X;
|
|
|
|
Result.Y = (float)Y;
|
|
|
|
Result.Z = (float)Z;
|
|
|
|
Result.W = (float)W;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4
|
|
|
|
HMM_Vec4v(hmm_vec3 Vector, float W)
|
|
|
|
{
|
|
|
|
hmm_vec4 Result = {0};
|
|
|
|
|
|
|
|
Result.XYZ = Vector;
|
|
|
|
Result.W = W;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec2
|
|
|
|
HMM_AddVec2(hmm_vec2 Left, hmm_vec2 Right)
|
|
|
|
{
|
|
|
|
hmm_vec2 Result = {0};
|
|
|
|
|
|
|
|
Result.X = Left.X + Right.X;
|
|
|
|
Result.Y = Left.Y + Right.Y;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec3
|
|
|
|
HMM_AddVec3(hmm_vec3 Left, hmm_vec3 Right)
|
|
|
|
{
|
|
|
|
hmm_vec3 Result = {0};
|
|
|
|
|
|
|
|
Result.X = Left.X + Right.X;
|
|
|
|
Result.Y = Left.Y + Right.Y;
|
|
|
|
Result.Z = Left.Z + Right.Z;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4
|
|
|
|
HMM_AddVec4(hmm_vec4 Left, hmm_vec4 Right)
|
|
|
|
{
|
|
|
|
hmm_vec4 Result = {0};
|
|
|
|
|
|
|
|
Result.X = Left.X + Right.X;
|
|
|
|
Result.Y = Left.Y + Right.Y;
|
|
|
|
Result.Z = Left.Z + Right.Z;
|
|
|
|
Result.W = Left.W + Right.W;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec2
|
|
|
|
HMM_SubtractVec2(hmm_vec2 Left, hmm_vec2 Right)
|
|
|
|
{
|
|
|
|
hmm_vec2 Result = {0};
|
|
|
|
|
|
|
|
Result.X = Left.X - Right.X;
|
|
|
|
Result.Y = Left.Y - Right.Y;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec3
|
|
|
|
HMM_SubtractVec3(hmm_vec3 Left, hmm_vec3 Right)
|
|
|
|
{
|
|
|
|
hmm_vec3 Result = {0};
|
|
|
|
|
|
|
|
Result.X = Left.X - Right.X;
|
|
|
|
Result.Y = Left.Y - Right.Y;
|
|
|
|
Result.Z = Left.Z - Right.Z;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4
|
|
|
|
HMM_SubtractVec4(hmm_vec4 Left, hmm_vec4 Right)
|
|
|
|
{
|
|
|
|
hmm_vec4 Result = {0};
|
|
|
|
|
|
|
|
Result.X = Left.X - Right.X;
|
|
|
|
Result.Y = Left.Y - Right.Y;
|
|
|
|
Result.Z = Left.Z - Right.Z;
|
|
|
|
Result.W = Left.W - Right.W;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec2
|
|
|
|
HMM_MultiplyVec2(hmm_vec2 Left, hmm_vec2 Right)
|
|
|
|
{
|
|
|
|
hmm_vec2 Result = {0};
|
|
|
|
|
|
|
|
Result.X = Left.X * Right.X;
|
|
|
|
Result.Y = Left.Y * Right.Y;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec2
|
|
|
|
HMM_MultiplyVec2f(hmm_vec2 Left, float Right)
|
|
|
|
{
|
|
|
|
hmm_vec2 Result = {0};
|
|
|
|
|
|
|
|
Result.X = Left.X * Right;
|
|
|
|
Result.Y = Left.Y * Right;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec3
|
|
|
|
HMM_MultiplyVec3(hmm_vec3 Left, hmm_vec3 Right)
|
|
|
|
{
|
|
|
|
hmm_vec3 Result = {0};
|
|
|
|
|
|
|
|
Result.X = Left.X * Right.X;
|
|
|
|
Result.Y = Left.Y * Right.Y;
|
|
|
|
Result.Z = Left.Z * Right.Z;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec3
|
|
|
|
HMM_MultiplyVec3f(hmm_vec3 Left, float Right)
|
|
|
|
{
|
|
|
|
hmm_vec3 Result = {0};
|
|
|
|
|
|
|
|
Result.X = Left.X * Right;
|
|
|
|
Result.Y = Left.Y * Right;
|
|
|
|
Result.Z = Left.Z * Right;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4
|
|
|
|
HMM_MultiplyVec4(hmm_vec4 Left, hmm_vec4 Right)
|
|
|
|
{
|
|
|
|
hmm_vec4 Result = {0};
|
|
|
|
|
|
|
|
Result.X = Left.X * Right.X;
|
|
|
|
Result.Y = Left.Y * Right.Y;
|
|
|
|
Result.Z = Left.Z * Right.Z;
|
|
|
|
Result.W = Left.W * Right.W;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4
|
|
|
|
HMM_MultiplyVec4f(hmm_vec4 Left, float Right)
|
|
|
|
{
|
|
|
|
hmm_vec4 Result = {0};
|
|
|
|
|
|
|
|
Result.X = Left.X * Right;
|
|
|
|
Result.Y = Left.Y * Right;
|
|
|
|
Result.Z = Left.Z * Right;
|
|
|
|
Result.W = Left.W * Right;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec2
|
|
|
|
HMM_DivideVec2(hmm_vec2 Left, hmm_vec2 Right)
|
|
|
|
{
|
|
|
|
hmm_vec2 Result = {0};
|
|
|
|
|
|
|
|
Result.X = Left.X / Right.X;
|
|
|
|
Result.Y = Left.Y / Right.Y;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec2
|
|
|
|
HMM_DivideVec2f(hmm_vec2 Left, float Right)
|
|
|
|
{
|
|
|
|
hmm_vec2 Result = {0};
|
|
|
|
|
|
|
|
Result.X = Left.X / Right;
|
|
|
|
Result.Y = Left.Y / Right;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec3
|
|
|
|
HMM_DivideVec3(hmm_vec3 Left, hmm_vec3 Right)
|
|
|
|
{
|
|
|
|
hmm_vec3 Result = {0};
|
|
|
|
|
|
|
|
Result.X = Left.X / Right.X;
|
|
|
|
Result.Y = Left.Y / Right.Y;
|
|
|
|
Result.Z = Left.Z / Right.Z;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec3
|
|
|
|
HMM_DivideVec3f(hmm_vec3 Left, float Right)
|
|
|
|
{
|
|
|
|
hmm_vec3 Result = {0};
|
|
|
|
|
|
|
|
Result.X = Left.X / Right;
|
|
|
|
Result.Y = Left.Y / Right;
|
|
|
|
Result.Z = Left.Z / Right;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4
|
|
|
|
HMM_DivideVec4(hmm_vec4 Left, hmm_vec4 Right)
|
|
|
|
{
|
|
|
|
hmm_vec4 Result = {0};
|
|
|
|
|
|
|
|
Result.X = Left.X / Right.X;
|
|
|
|
Result.Y = Left.Y / Right.Y;
|
|
|
|
Result.Z = Left.Z / Right.Z;
|
|
|
|
Result.W = Left.W / Right.W;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4
|
|
|
|
HMM_DivideVec4f(hmm_vec4 Left, float Right)
|
|
|
|
{
|
|
|
|
hmm_vec4 Result = {0};
|
|
|
|
|
|
|
|
Result.X = Left.X / Right;
|
|
|
|
Result.Y = Left.Y / Right;
|
|
|
|
Result.Z = Left.Z / Right;
|
|
|
|
Result.W = Left.W / Right;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_bool
|
|
|
|
HMM_EqualsVec2(hmm_vec2 Left, hmm_vec2 Right)
|
|
|
|
{
|
|
|
|
hmm_bool Result = 0;
|
|
|
|
|
|
|
|
Result = (Left.X == Right.X && Left.Y == Right.Y);
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_bool
|
|
|
|
HMM_EqualsVec3(hmm_vec3 Left, hmm_vec3 Right)
|
|
|
|
{
|
|
|
|
hmm_bool Result = 0;
|
|
|
|
|
|
|
|
Result = (Left.X == Right.X && Left.Y == Right.Y && Left.Z == Right.Z);
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_bool
|
|
|
|
HMM_EqualsVec4(hmm_vec4 Left, hmm_vec4 Right)
|
|
|
|
{
|
|
|
|
hmm_bool Result = 0;
|
|
|
|
|
|
|
|
Result = (Left.X == Right.X && Left.Y == Right.Y && Left.Z == Right.Z && Left.W == Right.W);
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_mat4
|
|
|
|
HMM_Mat4(void)
|
|
|
|
{
|
|
|
|
hmm_mat4 Result = {0};
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_mat4
|
|
|
|
HMM_Mat4d(float Diagonal)
|
|
|
|
{
|
|
|
|
hmm_mat4 Result = HMM_Mat4();
|
|
|
|
|
|
|
|
Result.Elements[0][0] = Diagonal;
|
|
|
|
Result.Elements[1][1] = Diagonal;
|
|
|
|
Result.Elements[2][2] = Diagonal;
|
|
|
|
Result.Elements[3][3] = Diagonal;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_mat4
|
|
|
|
HMM_AddMat4(hmm_mat4 Left, hmm_mat4 Right)
|
|
|
|
{
|
|
|
|
hmm_mat4 Result = HMM_Mat4();
|
|
|
|
|
|
|
|
int Columns;
|
|
|
|
for(Columns = 0; Columns < 4; ++Columns)
|
|
|
|
{
|
|
|
|
int Rows;
|
|
|
|
for(Rows = 0; Rows < 4; ++Rows)
|
|
|
|
{
|
|
|
|
Result.Elements[Columns][Rows] = Left.Elements[Columns][Rows] + Right.Elements[Columns][Rows];
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_mat4
|
|
|
|
HMM_SubtractMat4(hmm_mat4 Left, hmm_mat4 Right)
|
|
|
|
{
|
|
|
|
hmm_mat4 Result = HMM_Mat4();
|
|
|
|
|
|
|
|
int Columns;
|
|
|
|
for(Columns = 0; Columns < 4; ++Columns)
|
|
|
|
{
|
|
|
|
int Rows;
|
|
|
|
for(Rows = 0; Rows < 4; ++Rows)
|
|
|
|
{
|
|
|
|
Result.Elements[Columns][Rows] = Left.Elements[Columns][Rows] - Right.Elements[Columns][Rows];
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
#ifdef HANDMADE_MATH__USE_SSE
|
|
|
|
HINLINE __m128
|
|
|
|
HMM_LinearCombineSSE(__m128 Left, hmm_mat4 Right)
|
|
|
|
{
|
|
|
|
__m128 Result = {};
|
|
|
|
Result = _mm_mul_ps(_mm_shuffle_ps(Left, Left, 0x00), Right.Rows[0]);
|
|
|
|
Result = _mm_add_ps(Result, _mm_mul_ps(_mm_shuffle_ps(Left, Left, 0x55), Right.Rows[1]));
|
|
|
|
Result = _mm_add_ps(Result, _mm_mul_ps(_mm_shuffle_ps(Left, Left, 0xaa), Right.Rows[2]));
|
|
|
|
Result = _mm_add_ps(Result, _mm_mul_ps(_mm_shuffle_ps(Left, Left, 0xff), Right.Rows[3]));
|
|
|
|
|
|
|
|
return(Result);
|
|
|
|
}
|
|
|
|
#endif
|
|
|
|
|
|
|
|
HINLINE hmm_mat4
|
|
|
|
HMM_MultiplyMat4(hmm_mat4 Left, hmm_mat4 Right)
|
|
|
|
{
|
|
|
|
hmm_mat4 Result = HMM_Mat4();
|
|
|
|
|
|
|
|
#ifdef HANDMADE_MATH__USE_SSE
|
|
|
|
|
|
|
|
hmm_mat4 TransposedLeft = HMM_Transpose(Left);
|
|
|
|
hmm_mat4 TransposedRight = HMM_Transpose(Right);
|
|
|
|
|
|
|
|
Result.Rows[0] = HMM_LinearCombineSSE(TransposedLeft.Rows[0], TransposedRight);
|
|
|
|
Result.Rows[1] = HMM_LinearCombineSSE(TransposedLeft.Rows[1], TransposedRight);
|
|
|
|
Result.Rows[2] = HMM_LinearCombineSSE(TransposedLeft.Rows[2], TransposedRight);
|
|
|
|
Result.Rows[3] = HMM_LinearCombineSSE(TransposedLeft.Rows[3], TransposedRight);
|
|
|
|
|
|
|
|
Result = HMM_Transpose(Result);
|
|
|
|
|
|
|
|
#else
|
|
|
|
int Columns;
|
|
|
|
for(Columns = 0; Columns < 4; ++Columns)
|
|
|
|
{
|
|
|
|
int Rows;
|
|
|
|
for(Rows = 0; Rows < 4; ++Rows)
|
|
|
|
{
|
|
|
|
float Sum = 0;
|
|
|
|
int CurrentMatrice;
|
|
|
|
for(CurrentMatrice = 0; CurrentMatrice < 4; ++CurrentMatrice)
|
|
|
|
{
|
|
|
|
Sum += Left.Elements[CurrentMatrice][Rows] * Right.Elements[Columns][CurrentMatrice];
|
|
|
|
}
|
|
|
|
|
|
|
|
Result.Elements[Columns][Rows] = Sum;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
#endif
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_mat4
|
|
|
|
HMM_MultiplyMat4f(hmm_mat4 Matrix, float Scalar)
|
|
|
|
{
|
|
|
|
hmm_mat4 Result = HMM_Mat4();
|
|
|
|
|
|
|
|
int Columns;
|
|
|
|
for(Columns = 0; Columns < 4; ++Columns)
|
|
|
|
{
|
|
|
|
int Rows;
|
|
|
|
for(Rows = 0; Rows < 4; ++Rows)
|
|
|
|
{
|
|
|
|
Result.Elements[Columns][Rows] = Matrix.Elements[Columns][Rows] * Scalar;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4
|
|
|
|
HMM_MultiplyMat4ByVec4(hmm_mat4 Matrix, hmm_vec4 Vector)
|
|
|
|
{
|
|
|
|
hmm_vec4 Result = {0};
|
|
|
|
|
|
|
|
int Columns, Rows;
|
|
|
|
for(Rows = 0; Rows < 4; ++Rows)
|
|
|
|
{
|
|
|
|
float Sum = 0;
|
|
|
|
for(Columns = 0; Columns < 4; ++Columns)
|
|
|
|
{
|
|
|
|
Sum += Matrix.Elements[Columns][Rows] * Vector.Elements[Columns];
|
|
|
|
}
|
|
|
|
|
|
|
|
Result.Elements[Rows] = Sum;
|
|
|
|
}
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_mat4
|
|
|
|
HMM_DivideMat4f(hmm_mat4 Matrix, float Scalar)
|
|
|
|
{
|
|
|
|
hmm_mat4 Result = HMM_Mat4();
|
|
|
|
|
|
|
|
int Columns;
|
|
|
|
for(Columns = 0; Columns < 4; ++Columns)
|
|
|
|
{
|
|
|
|
int Rows;
|
|
|
|
for(Rows = 0; Rows < 4; ++Rows)
|
|
|
|
{
|
|
|
|
Result.Elements[Columns][Rows] = Matrix.Elements[Columns][Rows] / Scalar;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_mat4
|
|
|
|
HMM_Transpose(hmm_mat4 Matrix)
|
|
|
|
{
|
|
|
|
hmm_mat4 Result = HMM_Mat4();
|
|
|
|
|
|
|
|
#ifdef HANDMADE_MATH__USE_SSE
|
|
|
|
Result = Matrix;
|
|
|
|
|
|
|
|
_MM_TRANSPOSE4_PS(Result.Rows[0], Result.Rows[1], Result.Rows[2], Result.Rows[3]);
|
|
|
|
#else
|
|
|
|
int Columns;
|
|
|
|
for(Columns = 0; Columns < 4; ++Columns)
|
|
|
|
{
|
|
|
|
int Rows;
|
|
|
|
for(Rows = 0; Rows < 4; ++Rows)
|
|
|
|
{
|
|
|
|
Result.Elements[Rows][Columns] = Matrix.Elements[Columns][Rows];
|
|
|
|
}
|
|
|
|
}
|
|
|
|
#endif
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_mat4
|
|
|
|
HMM_Orthographic(float Left, float Right, float Bottom, float Top, float Near, float Far)
|
|
|
|
{
|
|
|
|
hmm_mat4 Result = HMM_Mat4d(1.0f);
|
|
|
|
|
|
|
|
Result.Elements[0][0] = 2.0f / (Right - Left);
|
|
|
|
Result.Elements[1][1] = 2.0f / (Top - Bottom);
|
|
|
|
Result.Elements[2][2] = 2.0f / (Near - Far);
|
|
|
|
|
|
|
|
Result.Elements[3][0] = (Left + Right) / (Left - Right);
|
|
|
|
Result.Elements[3][1] = (Bottom + Top) / (Bottom - Top);
|
|
|
|
Result.Elements[3][2] = (Far + Near) / (Near - Far);
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_mat4
|
|
|
|
HMM_Perspective(float FOV, float AspectRatio, float Near, float Far)
|
|
|
|
{
|
|
|
|
hmm_mat4 Result = HMM_Mat4d(1.0f);
|
|
|
|
|
|
|
|
float TanThetaOver2 = HMM_TanF(FOV * (HMM_PI32 / 360.0f));
|
|
|
|
|
|
|
|
Result.Elements[0][0] = 1.0f / TanThetaOver2;
|
|
|
|
Result.Elements[1][1] = AspectRatio / TanThetaOver2;
|
|
|
|
Result.Elements[2][3] = -1.0f;
|
|
|
|
Result.Elements[2][2] = (Near + Far) / (Near - Far);
|
|
|
|
Result.Elements[3][2] = (2.0f * Near * Far) / (Near - Far);
|
|
|
|
Result.Elements[3][3] = 0.0f;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_mat4
|
|
|
|
HMM_Translate(hmm_vec3 Translation)
|
|
|
|
{
|
|
|
|
hmm_mat4 Result = HMM_Mat4d(1.0f);
|
|
|
|
|
|
|
|
Result.Elements[3][0] = Translation.X;
|
|
|
|
Result.Elements[3][1] = Translation.Y;
|
|
|
|
Result.Elements[3][2] = Translation.Z;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_mat4
|
|
|
|
HMM_Rotate(float Angle, hmm_vec3 Axis)
|
|
|
|
{
|
|
|
|
hmm_mat4 Result = HMM_Mat4d(1.0f);
|
|
|
|
|
|
|
|
Axis = HMM_NormalizeVec3(Axis);
|
|
|
|
|
|
|
|
float SinTheta = HMM_SinF(HMM_ToRadians(Angle));
|
|
|
|
float CosTheta = HMM_CosF(HMM_ToRadians(Angle));
|
|
|
|
float CosValue = 1.0f - CosTheta;
|
|
|
|
|
|
|
|
Result.Elements[0][0] = (Axis.X * Axis.X * CosValue) + CosTheta;
|
|
|
|
Result.Elements[0][1] = (Axis.X * Axis.Y * CosValue) + (Axis.Z * SinTheta);
|
|
|
|
Result.Elements[0][2] = (Axis.X * Axis.Z * CosValue) - (Axis.Y * SinTheta);
|
|
|
|
|
|
|
|
Result.Elements[1][0] = (Axis.Y * Axis.X * CosValue) - (Axis.Z * SinTheta);
|
|
|
|
Result.Elements[1][1] = (Axis.Y * Axis.Y * CosValue) + CosTheta;
|
|
|
|
Result.Elements[1][2] = (Axis.Y * Axis.Z * CosValue) + (Axis.X * SinTheta);
|
|
|
|
|
|
|
|
Result.Elements[2][0] = (Axis.Z * Axis.X * CosValue) + (Axis.Y * SinTheta);
|
|
|
|
Result.Elements[2][1] = (Axis.Z * Axis.Y * CosValue) - (Axis.X * SinTheta);
|
|
|
|
Result.Elements[2][2] = (Axis.Z * Axis.Z * CosValue) + CosTheta;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_mat4
|
|
|
|
HMM_Scale(hmm_vec3 Scale)
|
|
|
|
{
|
|
|
|
hmm_mat4 Result = HMM_Mat4d(1.0f);
|
|
|
|
|
|
|
|
Result.Elements[0][0] = Scale.X;
|
|
|
|
Result.Elements[1][1] = Scale.Y;
|
|
|
|
Result.Elements[2][2] = Scale.Z;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_mat4
|
|
|
|
HMM_LookAt(hmm_vec3 Eye, hmm_vec3 Center, hmm_vec3 Up)
|
|
|
|
{
|
|
|
|
hmm_mat4 Result = {0};
|
|
|
|
|
|
|
|
hmm_vec3 F = HMM_NormalizeVec3(HMM_SubtractVec3(Center, Eye));
|
|
|
|
hmm_vec3 S = HMM_NormalizeVec3(HMM_Cross(F, Up));
|
|
|
|
hmm_vec3 U = HMM_Cross(S, F);
|
|
|
|
|
|
|
|
Result.Elements[0][0] = S.X;
|
|
|
|
Result.Elements[0][1] = U.X;
|
|
|
|
Result.Elements[0][2] = -F.X;
|
|
|
|
|
|
|
|
Result.Elements[1][0] = S.Y;
|
|
|
|
Result.Elements[1][1] = U.Y;
|
|
|
|
Result.Elements[1][2] = -F.Y;
|
|
|
|
|
|
|
|
Result.Elements[2][0] = S.Z;
|
|
|
|
Result.Elements[2][1] = U.Z;
|
|
|
|
Result.Elements[2][2] = -F.Z;
|
|
|
|
|
|
|
|
Result.Elements[3][0] = -HMM_DotVec3(S, Eye);
|
|
|
|
Result.Elements[3][1] = -HMM_DotVec3(U, Eye);
|
|
|
|
Result.Elements[3][2] = HMM_DotVec3(F, Eye);
|
|
|
|
Result.Elements[3][3] = 1.0f;
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
HINLINE hmm_quaternion
|
|
|
|
HMM_Quaternion(float X, float Y, float Z, float W)
|
|
|
|
{
|
|
|
|
hmm_quaternion Result = {0};
|
|
|
|
|
|
|
|
Result.X = X;
|
|
|
|
Result.Y = Y;
|
|
|
|
Result.Z = Z;
|
|
|
|
Result.W = W;
|
|
|
|
|
|
|
|
return(Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_quaternion
|
|
|
|
HMM_QuaternionV4(hmm_vec4 Vector)
|
|
|
|
{
|
|
|
|
hmm_quaternion Result = {0};
|
|
|
|
|
|
|
|
Result.X = Vector.X;
|
|
|
|
Result.Y = Vector.Y;
|
|
|
|
Result.Z = Vector.Z;
|
|
|
|
Result.W = Vector.W;
|
|
|
|
|
|
|
|
return(Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_quaternion
|
|
|
|
HMM_AddQuaternion(hmm_quaternion Left, hmm_quaternion Right)
|
|
|
|
{
|
|
|
|
hmm_quaternion Result = {0};
|
|
|
|
|
|
|
|
Result.X = Left.X + Right.X;
|
|
|
|
Result.Y = Left.Y + Right.Y;
|
|
|
|
Result.Z = Left.Z + Right.Z;
|
|
|
|
Result.W = Left.W + Right.W;
|
|
|
|
|
|
|
|
return(Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_quaternion
|
|
|
|
HMM_SubtractQuaternion(hmm_quaternion Left, hmm_quaternion Right)
|
|
|
|
{
|
|
|
|
hmm_quaternion Result = {0};
|
|
|
|
|
|
|
|
Result.X = Left.X - Right.X;
|
|
|
|
Result.Y = Left.Y - Right.Y;
|
|
|
|
Result.Z = Left.Z - Right.Z;
|
|
|
|
Result.W = Left.W - Right.W;
|
|
|
|
|
|
|
|
return(Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_quaternion
|
|
|
|
HMM_MultiplyQuaternion(hmm_quaternion Left, hmm_quaternion Right)
|
|
|
|
{
|
|
|
|
hmm_quaternion Result = {0};
|
|
|
|
|
|
|
|
Result.X = (Left.X * Right.W) + (Left.Y * Right.Z) - (Left.Z * Right.Y) + (Left.W * Right.X);
|
|
|
|
Result.Y = (-Left.X * Right.Z) + (Left.Y * Right.W) + (Left.Z * Right.X) + (Left.W * Right.Y);
|
|
|
|
Result.Z = (Left.X * Right.Y) - (Left.Y * Right.X) + (Left.Z * Right.W) + (Left.W * Right.Z);
|
|
|
|
Result.W = (-Left.X * Right.X) - (Left.Y * Right.Y) - (Left.Z * Right.Z) + (Left.W * Right.W);
|
|
|
|
|
|
|
|
return(Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_quaternion
|
|
|
|
HMM_MultiplyQuaternionF(hmm_quaternion Left, float Multiplicative)
|
|
|
|
{
|
|
|
|
hmm_quaternion Result = {0};
|
|
|
|
|
|
|
|
Result.X = Left.X * Multiplicative;
|
|
|
|
Result.Y = Left.Y * Multiplicative;
|
|
|
|
Result.Z = Left.Z * Multiplicative;
|
|
|
|
Result.W = Left.W * Multiplicative;
|
|
|
|
|
|
|
|
return(Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_quaternion
|
|
|
|
HMM_DivideQuaternionF(hmm_quaternion Left, float Dividend)
|
|
|
|
{
|
|
|
|
hmm_quaternion Result = {0};
|
|
|
|
|
|
|
|
Result.X = Left.X / Dividend;
|
|
|
|
Result.Y = Left.Y / Dividend;
|
|
|
|
Result.Z = Left.Z / Dividend;
|
|
|
|
Result.W = Left.W / Dividend;
|
|
|
|
|
|
|
|
return(Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_quaternion
|
|
|
|
HMM_InverseQuaternion(hmm_quaternion Left)
|
|
|
|
{
|
|
|
|
hmm_quaternion Conjugate = {0};
|
|
|
|
hmm_quaternion Result = {0};
|
|
|
|
float Norm = 0;
|
|
|
|
float NormSquared = 0;
|
|
|
|
|
|
|
|
Conjugate.X = -Left.X;
|
|
|
|
Conjugate.Y = -Left.Y;
|
|
|
|
Conjugate.Z = -Left.Z;
|
|
|
|
Conjugate.W = Left.W;
|
|
|
|
|
|
|
|
Norm = HMM_SquareRootF(HMM_DotQuaternion(Left, Left));
|
|
|
|
NormSquared = Norm * Norm;
|
|
|
|
|
|
|
|
Result.X = Conjugate.X / NormSquared;
|
|
|
|
Result.Y = Conjugate.Y / NormSquared;
|
|
|
|
Result.Z = Conjugate.Z / NormSquared;
|
|
|
|
Result.W = Conjugate.W / NormSquared;
|
|
|
|
|
|
|
|
return(Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE float
|
|
|
|
HMM_DotQuaternion(hmm_quaternion Left, hmm_quaternion Right)
|
|
|
|
{
|
|
|
|
float Result = 0.0f;
|
|
|
|
|
|
|
|
Result = (Left.X * Right.X) + (Left.Y * Right.Y) + (Left.Z * Right.Z) + (Left.W * Right.W);
|
|
|
|
|
|
|
|
return(Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_quaternion
|
|
|
|
HMM_NormalizeQuaternion(hmm_quaternion Left)
|
|
|
|
{
|
|
|
|
hmm_quaternion Result;
|
|
|
|
|
|
|
|
float Length = HMM_SquareRootF(HMM_DotQuaternion(Left, Left));
|
|
|
|
Result = HMM_DivideQuaternionF(Left, Length);
|
|
|
|
|
|
|
|
return(Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_quaternion
|
|
|
|
HMM_NLerp(hmm_quaternion Left, float Time, hmm_quaternion Right)
|
|
|
|
{
|
|
|
|
hmm_quaternion Result = {0};
|
|
|
|
|
|
|
|
Result.X = HMM_Lerp(Left.X, Time, Right.X);
|
|
|
|
Result.Y = HMM_Lerp(Left.Y, Time, Right.Y);
|
|
|
|
Result.Z = HMM_Lerp(Left.Z, Time, Right.Z);
|
|
|
|
Result.W = HMM_Lerp(Left.W, Time, Right.W);
|
|
|
|
|
|
|
|
Result = HMM_NormalizeQuaternion(Result);
|
|
|
|
|
|
|
|
return(Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_quaternion
|
|
|
|
HMM_Slerp(hmm_quaternion Left, float Time, hmm_quaternion Right)
|
|
|
|
{
|
|
|
|
hmm_quaternion Result;
|
|
|
|
hmm_quaternion QuaternionLeft;
|
|
|
|
hmm_quaternion QuaternionRight;
|
|
|
|
|
|
|
|
float Cos_Theta = HMM_DotQuaternion(Left, Right);
|
|
|
|
float Angle = HMM_ACosF(Cos_Theta);
|
|
|
|
|
|
|
|
float S1 = HMM_SinF((1.0f - Time) * Angle);
|
|
|
|
float S2 = HMM_SinF(Time * Angle);
|
|
|
|
float Is = 1.0f / HMM_SinF(Angle);
|
|
|
|
|
|
|
|
QuaternionLeft = HMM_MultiplyQuaternionF(Left, S1);
|
|
|
|
QuaternionRight = HMM_MultiplyQuaternionF(Right, S2);
|
|
|
|
|
|
|
|
Result = HMM_AddQuaternion(QuaternionLeft, QuaternionRight);
|
|
|
|
Result = HMM_MultiplyQuaternionF(Result, Is);
|
|
|
|
|
|
|
|
return(Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_mat4
|
|
|
|
HMM_QuaternionToMat4(hmm_quaternion Left)
|
|
|
|
{
|
|
|
|
hmm_mat4 Result;
|
|
|
|
Result = HMM_Mat4d(1);
|
|
|
|
|
|
|
|
hmm_quaternion NormalizedQuaternion = HMM_NormalizeQuaternion(Left);
|
|
|
|
|
|
|
|
float XX, YY, ZZ,
|
|
|
|
XY, XZ, YZ,
|
|
|
|
WX, WY, WZ;
|
|
|
|
|
|
|
|
XX = NormalizedQuaternion.X * NormalizedQuaternion.X;
|
|
|
|
YY = NormalizedQuaternion.Y * NormalizedQuaternion.Y;
|
|
|
|
ZZ = NormalizedQuaternion.Z * NormalizedQuaternion.Z;
|
|
|
|
XY = NormalizedQuaternion.X * NormalizedQuaternion.Y;
|
|
|
|
XZ = NormalizedQuaternion.X * NormalizedQuaternion.Z;
|
|
|
|
YZ = NormalizedQuaternion.Y * NormalizedQuaternion.Z;
|
|
|
|
WX = NormalizedQuaternion.W * NormalizedQuaternion.X;
|
|
|
|
WY = NormalizedQuaternion.W * NormalizedQuaternion.Y;
|
|
|
|
WZ = NormalizedQuaternion.W * NormalizedQuaternion.Z;
|
|
|
|
|
|
|
|
Result.Elements[0][0] = 1.0f - 2.0f * (YY + ZZ);
|
|
|
|
Result.Elements[0][1] = 2.0f * (XY + WZ);
|
|
|
|
Result.Elements[0][2] = 2.0f * (XZ - WY);
|
|
|
|
|
|
|
|
Result.Elements[1][0] = 2.0f * (XY - WZ);
|
|
|
|
Result.Elements[1][1] = 1.0f - 2.0f * (XX + ZZ);
|
|
|
|
Result.Elements[1][2] = 2.0f * (YZ + WX);
|
|
|
|
|
|
|
|
Result.Elements[2][0] = 2.0f * (XZ + WY);
|
|
|
|
Result.Elements[2][1] = 2.0f * (YZ - WX);
|
|
|
|
Result.Elements[2][2] = 1.0f - 2.0f * (XX + YY);
|
|
|
|
|
|
|
|
return(Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_quaternion
|
|
|
|
HMM_QuaternionFromAxisAngle(hmm_vec3 Axis, float AngleOfRotation)
|
|
|
|
{
|
|
|
|
hmm_quaternion Result = {0};
|
|
|
|
float AxisNorm = 0;
|
|
|
|
float SineOfRotation = 0;
|
|
|
|
hmm_vec3 RotatedVector;
|
|
|
|
|
|
|
|
AxisNorm = HMM_SquareRootF(HMM_DotVec3(Axis, Axis));
|
|
|
|
SineOfRotation = HMM_SinF(AngleOfRotation / 2.0f);
|
|
|
|
RotatedVector = HMM_MultiplyVec3f(Axis, SineOfRotation);
|
|
|
|
|
|
|
|
Result.W = HMM_CosF(AngleOfRotation / 2.0f);
|
|
|
|
Result.XYZ = HMM_DivideVec3f(RotatedVector, AxisNorm);
|
|
|
|
|
|
|
|
return(Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
// Extensions
|
|
|
|
|
|
|
|
HINLINE hmm_mat4
|
|
|
|
HMM_Mat4Identity()
|
|
|
|
{
|
|
|
|
hmm_mat4 Result = {};
|
|
|
|
|
|
|
|
Result.Elements[0][0] = 1;
|
|
|
|
Result.Elements[0][1] = 0;
|
|
|
|
Result.Elements[0][2] = 0;
|
|
|
|
Result.Elements[0][3] = 0;
|
|
|
|
|
|
|
|
Result.Elements[1][0] = 0;
|
|
|
|
Result.Elements[1][1] = 1;
|
|
|
|
Result.Elements[1][2] = 0;
|
|
|
|
Result.Elements[1][3] = 0;
|
|
|
|
|
|
|
|
Result.Elements[2][0] = 0;
|
|
|
|
Result.Elements[2][1] = 0;
|
|
|
|
Result.Elements[2][2] = 1;
|
|
|
|
Result.Elements[2][3] = 0;
|
|
|
|
|
|
|
|
Result.Elements[3][0] = 0;
|
|
|
|
Result.Elements[3][1] = 0;
|
|
|
|
Result.Elements[3][2] = 0;
|
|
|
|
Result.Elements[3][3] = 1;
|
|
|
|
|
|
|
|
return Result;
|
|
|
|
}
|
|
|
|
|
|
|
|
#define HMMToV2(v) (v2){ (v).X, (v).Y }
|
|
|
|
#define HMMToV3(v) (v3){ (v).X, (v).Y, (v).Z }
|
|
|
|
#define HMMToV4(v) (v4){ (v).X, (v).Y, (v).Z, (v).W }
|
|
|
|
|
|
|
|
#define ToHMMV2(v) (hmm_vec2){ (v).x, (v).y }
|
|
|
|
#define ToHMMV3(v) (hmm_vec3){ (v).x, (v).y, (v).z }
|
|
|
|
#define ToHMMV4(v) (hmm_vec4){ (v).x, (v).y, (v).z, (v).w }
|
|
|
|
|
|
|
|
HINLINE hmm_vec2
|
|
|
|
HMM_LerpV2(hmm_vec2 A, float T, hmm_vec2 B)
|
|
|
|
{
|
|
|
|
hmm_vec2 Result = {};
|
|
|
|
Result.X = HMM_Lerp(A.X, T, B.X);
|
|
|
|
Result.Y = HMM_Lerp(A.Y, T, B.Y);
|
|
|
|
return Result;
|
|
|
|
}
|
|
|
|
HINLINE hmm_vec3
|
|
|
|
HMM_LerpV3(hmm_vec3 A, float T, hmm_vec3 B)
|
|
|
|
{
|
|
|
|
hmm_vec3 Result = {};
|
|
|
|
Result.X = HMM_Lerp(A.X, T, B.X);
|
|
|
|
Result.Y = HMM_Lerp(A.Y, T, B.Y);
|
|
|
|
Result.Z = HMM_Lerp(A.Z, T, B.Z);
|
|
|
|
return Result;
|
|
|
|
}
|
|
|
|
HINLINE hmm_vec4
|
|
|
|
HMM_LerpV4(hmm_vec4 A, float T, hmm_vec4 B)
|
|
|
|
{
|
|
|
|
hmm_vec4 Result = {};
|
|
|
|
Result.X = HMM_Lerp(A.X, T, B.X);
|
|
|
|
Result.Y = HMM_Lerp(A.Y, T, B.Y);
|
|
|
|
Result.Z = HMM_Lerp(A.Z, T, B.Z);
|
|
|
|
Result.W = HMM_Lerp(A.W, T, B.W);
|
|
|
|
return Result;
|
|
|
|
}
|
|
|
|
|
|
|
|
// Range
|
|
|
|
|
|
|
|
static bool
|
|
|
|
HMM_V2RContains(hmm_v2r Range, hmm_v2 P)
|
|
|
|
{
|
|
|
|
return (Range.ValueMin.x <= P.x &&
|
|
|
|
Range.ValueMin.y <= P.y &&
|
|
|
|
Range.ValueMax.x >= P.x &&
|
|
|
|
Range.ValueMax.y >= P.y);
|
|
|
|
}
|
|
|
|
|
|
|
|
static hmm_v2
|
|
|
|
HMM_V2RSize(hmm_v2r Range)
|
|
|
|
{
|
|
|
|
hmm_v2 Result = {};
|
|
|
|
Result.x = Range.ValueMax.x - Range.ValueMin.x;
|
|
|
|
Result.y = Range.ValueMax.y - Range.ValueMin.y;
|
|
|
|
return Result;
|
|
|
|
}
|
|
|
|
|
|
|
|
#define HMM_V2RWidth(r) HMM_V2RSize(r).x
|
|
|
|
#define HMM_V2RHeight(r) HMM_V2RSize(r).y
|
|
|
|
|
|
|
|
static hmm_v2r
|
|
|
|
HMM_V2ROffset(hmm_v2r Range, hmm_v2 Offset)
|
|
|
|
{
|
|
|
|
hmm_v2r Result = {};
|
|
|
|
Result.ValueMin = HMM_AddVec2(Range.ValueMin, Offset);
|
|
|
|
Result.ValueMax = HMM_AddVec2(Range.ValueMax, Offset);
|
|
|
|
return Result;
|
|
|
|
}
|
|
|
|
|
|
|
|
// Geometry
|
|
|
|
|
|
|
|
static hmm_vec3
|
|
|
|
HMM_AverageVec3(hmm_vec3* Arr, int Len)
|
|
|
|
{
|
|
|
|
hmm_vec3 Total = {};
|
|
|
|
for (int i = 0; i < Len; i++)
|
|
|
|
{
|
2022-04-16 11:00:32 +00:00
|
|
|
Total = HMM_AddVec3(Total, Arr[i]);
|
2022-03-22 18:13:06 +00:00
|
|
|
}
|
|
|
|
|
|
|
|
hmm_vec3 Result = {};
|
|
|
|
Result.x = Total.x / Len;
|
|
|
|
Result.y = Total.y / Len;
|
|
|
|
Result.z = Total.z / Len;
|
|
|
|
|
|
|
|
return Result;
|
|
|
|
}
|
|
|
|
|
|
|
|
static hmm_vec4
|
|
|
|
HMM_AverageVec4(hmm_vec4* Arr, int Len)
|
|
|
|
{
|
|
|
|
hmm_vec4 Total = {};
|
|
|
|
for (int i = 0; i < Len; i++)
|
|
|
|
{
|
|
|
|
Total = HMM_AddVec4(Total, Arr[i]);
|
|
|
|
}
|
|
|
|
|
|
|
|
hmm_vec4 Result = {};
|
|
|
|
Result.x = Total.x / Len;
|
|
|
|
Result.y = Total.y / Len;
|
|
|
|
Result.z = Total.z / Len;
|
|
|
|
Result.w = Total.w / Len;
|
|
|
|
return Result;
|
|
|
|
}
|
|
|
|
|
|
|
|
// Point In Triangle From: https://blackpawn.com/texts/pointinpoly/default.html
|
|
|
|
static bool
|
|
|
|
HMM_SameSide(hmm_vec3 P1, hmm_vec3 P2, hmm_vec3 A, hmm_vec3 B)
|
|
|
|
{
|
|
|
|
hmm_vec3 BA = HMM_SubtractVec3(B, A);
|
|
|
|
hmm_vec3 P1A = HMM_SubtractVec3(P1, A);
|
|
|
|
hmm_vec3 P2A = HMM_SubtractVec3(P2, A);
|
|
|
|
hmm_vec3 CP1 = HMM_Cross(BA, P1A);
|
|
|
|
hmm_vec3 CP2 = HMM_Cross(BA, P2A);
|
|
|
|
return (HMM_DotVec3(CP1, CP2) >= 0);
|
|
|
|
}
|
|
|
|
|
|
|
|
static bool
|
|
|
|
HMM_PointInTriangle(hmm_vec3 P, hmm_vec3 T0, hmm_vec3 T1, hmm_vec3 T2)
|
|
|
|
{
|
|
|
|
return (HMM_SameSide(P, T0, T1, T2) &&
|
|
|
|
HMM_SameSide(P, T1, T0, T2) &&
|
|
|
|
HMM_SameSide(P, T2, T0, T1));
|
|
|
|
}
|
|
|
|
|
|
|
|
#ifdef HANDMADE_MATH_CPP_MODE
|
|
|
|
|
|
|
|
HINLINE float
|
|
|
|
HMM_Length(hmm_vec2 A)
|
|
|
|
{
|
|
|
|
float Result = 0.0f;
|
|
|
|
|
|
|
|
Result = HMM_LengthVec2(A);
|
|
|
|
|
|
|
|
return(Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE float
|
|
|
|
HMM_Length(hmm_vec3 A)
|
|
|
|
{
|
|
|
|
float Result = 0.0f;
|
|
|
|
|
|
|
|
Result = HMM_LengthVec3(A);
|
|
|
|
|
|
|
|
return(Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE float
|
|
|
|
HMM_Length(hmm_vec4 A)
|
|
|
|
{
|
|
|
|
float Result = 0.0f;
|
|
|
|
|
|
|
|
Result = HMM_LengthVec4(A);
|
|
|
|
|
|
|
|
return(Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE float
|
|
|
|
HMM_LengthSquared(hmm_vec2 A)
|
|
|
|
{
|
|
|
|
float Result = 0.0f;
|
|
|
|
|
|
|
|
Result = HMM_LengthSquaredVec2(A);
|
|
|
|
|
|
|
|
return(Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE float
|
|
|
|
HMM_LengthSquared(hmm_vec3 A)
|
|
|
|
{
|
|
|
|
float Result = 0.0f;
|
|
|
|
|
|
|
|
Result = HMM_LengthSquaredVec3(A);
|
|
|
|
|
|
|
|
return(Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE float
|
|
|
|
HMM_LengthSquared(hmm_vec4 A)
|
|
|
|
{
|
|
|
|
float Result = 0.0f;
|
|
|
|
|
|
|
|
Result = HMM_LengthSquaredVec4(A);
|
|
|
|
|
|
|
|
return(Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec2
|
|
|
|
HMM_Normalize(hmm_vec2 A)
|
|
|
|
{
|
|
|
|
hmm_vec2 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_NormalizeVec2(A);
|
|
|
|
|
|
|
|
return(Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec3
|
|
|
|
HMM_Normalize(hmm_vec3 A)
|
|
|
|
{
|
|
|
|
hmm_vec3 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_NormalizeVec3(A);
|
|
|
|
|
|
|
|
return(Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4
|
|
|
|
HMM_Normalize(hmm_vec4 A)
|
|
|
|
{
|
|
|
|
hmm_vec4 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_NormalizeVec4(A);
|
|
|
|
|
|
|
|
return(Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_quaternion
|
|
|
|
HMM_Normalize(hmm_quaternion A)
|
|
|
|
{
|
|
|
|
hmm_quaternion Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_NormalizeQuaternion(A);
|
|
|
|
|
|
|
|
return(Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE float
|
|
|
|
HMM_Dot(hmm_vec2 VecOne, hmm_vec2 VecTwo)
|
|
|
|
{
|
|
|
|
float Result = 0;
|
|
|
|
|
|
|
|
Result = HMM_DotVec2(VecOne, VecTwo);
|
|
|
|
|
|
|
|
return(Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE float
|
|
|
|
HMM_Dot(hmm_vec3 VecOne, hmm_vec3 VecTwo)
|
|
|
|
{
|
|
|
|
float Result = 0;
|
|
|
|
|
|
|
|
Result = HMM_DotVec3(VecOne, VecTwo);
|
|
|
|
|
|
|
|
return(Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE float
|
|
|
|
HMM_Dot(hmm_vec4 VecOne, hmm_vec4 VecTwo)
|
|
|
|
{
|
|
|
|
float Result = 0;
|
|
|
|
|
|
|
|
Result = HMM_DotVec4(VecOne, VecTwo);
|
|
|
|
|
|
|
|
return(Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE float
|
|
|
|
HMM_Dot(hmm_quaternion QuatOne, hmm_quaternion QuatTwo)
|
|
|
|
{
|
|
|
|
float Result = 0;
|
|
|
|
|
|
|
|
Result = HMM_DotQuaternion(QuatOne, QuatTwo);
|
|
|
|
|
|
|
|
return(Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec2
|
|
|
|
HMM_Add(hmm_vec2 Left, hmm_vec2 Right)
|
|
|
|
{
|
|
|
|
hmm_vec2 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_AddVec2(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec3
|
|
|
|
HMM_Add(hmm_vec3 Left, hmm_vec3 Right)
|
|
|
|
{
|
|
|
|
hmm_vec3 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_AddVec3(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4
|
|
|
|
HMM_Add(hmm_vec4 Left, hmm_vec4 Right)
|
|
|
|
{
|
|
|
|
hmm_vec4 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_AddVec4(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_mat4
|
|
|
|
HMM_Add(hmm_mat4 Left, hmm_mat4 Right)
|
|
|
|
{
|
|
|
|
hmm_mat4 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_AddMat4(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_quaternion
|
|
|
|
HMM_Add(hmm_quaternion Left, hmm_quaternion Right)
|
|
|
|
{
|
|
|
|
hmm_quaternion Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_AddQuaternion(Left, Right);
|
|
|
|
return(Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec2
|
|
|
|
HMM_Subtract(hmm_vec2 Left, hmm_vec2 Right)
|
|
|
|
{
|
|
|
|
hmm_vec2 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_SubtractVec2(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec3
|
|
|
|
HMM_Subtract(hmm_vec3 Left, hmm_vec3 Right)
|
|
|
|
{
|
|
|
|
hmm_vec3 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_SubtractVec3(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4
|
|
|
|
HMM_Subtract(hmm_vec4 Left, hmm_vec4 Right)
|
|
|
|
{
|
|
|
|
hmm_vec4 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_SubtractVec4(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_mat4
|
|
|
|
HMM_Subtract(hmm_mat4 Left, hmm_mat4 Right)
|
|
|
|
{
|
|
|
|
hmm_mat4 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_SubtractMat4(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_quaternion
|
|
|
|
HMM_Subtract(hmm_quaternion Left, hmm_quaternion Right)
|
|
|
|
{
|
|
|
|
hmm_quaternion Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_SubtractQuaternion(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec2
|
|
|
|
HMM_Multiply(hmm_vec2 Left, hmm_vec2 Right)
|
|
|
|
{
|
|
|
|
hmm_vec2 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_MultiplyVec2(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec2
|
|
|
|
HMM_Multiply(hmm_vec2 Left, float Right)
|
|
|
|
{
|
|
|
|
hmm_vec2 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_MultiplyVec2f(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec3
|
|
|
|
HMM_Multiply(hmm_vec3 Left, hmm_vec3 Right)
|
|
|
|
{
|
|
|
|
hmm_vec3 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_MultiplyVec3(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec3
|
|
|
|
HMM_Multiply(hmm_vec3 Left, float Right)
|
|
|
|
{
|
|
|
|
hmm_vec3 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_MultiplyVec3f(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4
|
|
|
|
HMM_Multiply(hmm_vec4 Left, hmm_vec4 Right)
|
|
|
|
{
|
|
|
|
hmm_vec4 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_MultiplyVec4(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4
|
|
|
|
HMM_Multiply(hmm_vec4 Left, float Right)
|
|
|
|
{
|
|
|
|
hmm_vec4 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_MultiplyVec4f(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_mat4
|
|
|
|
HMM_Multiply(hmm_mat4 Left, hmm_mat4 Right)
|
|
|
|
{
|
|
|
|
hmm_mat4 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_MultiplyMat4(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_mat4
|
|
|
|
HMM_Multiply(hmm_mat4 Left, float Right)
|
|
|
|
{
|
|
|
|
hmm_mat4 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_MultiplyMat4f(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4
|
|
|
|
HMM_Multiply(hmm_mat4 Matrix, hmm_vec4 Vector)
|
|
|
|
{
|
|
|
|
hmm_vec4 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_MultiplyMat4ByVec4(Matrix, Vector);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_quaternion
|
|
|
|
HMM_Multiply(hmm_quaternion Left, hmm_quaternion Right)
|
|
|
|
{
|
|
|
|
hmm_quaternion Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_MultiplyQuaternion(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_quaternion
|
|
|
|
HMM_Multiply(hmm_quaternion Left, float Right)
|
|
|
|
{
|
|
|
|
hmm_quaternion Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_MultiplyQuaternionF(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_quaternion
|
|
|
|
HMM_Multiply(float Left, hmm_quaternion Right)
|
|
|
|
{
|
|
|
|
hmm_quaternion Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_MultiplyQuaternionF(Right, Left);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec2
|
|
|
|
HMM_Divide(hmm_vec2 Left, hmm_vec2 Right)
|
|
|
|
{
|
|
|
|
hmm_vec2 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_DivideVec2(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec2
|
|
|
|
HMM_Divide(hmm_vec2 Left, float Right)
|
|
|
|
{
|
|
|
|
hmm_vec2 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_DivideVec2f(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec3
|
|
|
|
HMM_Divide(hmm_vec3 Left, hmm_vec3 Right)
|
|
|
|
{
|
|
|
|
hmm_vec3 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_DivideVec3(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec3
|
|
|
|
HMM_Divide(hmm_vec3 Left, float Right)
|
|
|
|
{
|
|
|
|
hmm_vec3 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_DivideVec3f(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4
|
|
|
|
HMM_Divide(hmm_vec4 Left, hmm_vec4 Right)
|
|
|
|
{
|
|
|
|
hmm_vec4 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_DivideVec4(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4
|
|
|
|
HMM_Divide(hmm_vec4 Left, float Right)
|
|
|
|
{
|
|
|
|
hmm_vec4 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_DivideVec4f(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_mat4
|
|
|
|
HMM_Divide(hmm_mat4 Left, float Right)
|
|
|
|
{
|
|
|
|
hmm_mat4 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_DivideMat4f(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_quaternion
|
|
|
|
HMM_Divide(hmm_quaternion Left, float Right)
|
|
|
|
{
|
|
|
|
hmm_quaternion Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_DivideQuaternionF(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_bool
|
|
|
|
HMM_Equals(hmm_vec2 Left, hmm_vec2 Right)
|
|
|
|
{
|
|
|
|
hmm_bool Result = 0;
|
|
|
|
|
|
|
|
Result = HMM_EqualsVec2(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_bool
|
|
|
|
HMM_Equals(hmm_vec3 Left, hmm_vec3 Right)
|
|
|
|
{
|
|
|
|
hmm_bool Result = 0;
|
|
|
|
|
|
|
|
Result = HMM_EqualsVec3(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_bool
|
|
|
|
HMM_Equals(hmm_vec4 Left, hmm_vec4 Right)
|
|
|
|
{
|
|
|
|
hmm_bool Result = 0;
|
|
|
|
|
|
|
|
Result = HMM_EqualsVec4(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec2
|
|
|
|
operator+(hmm_vec2 Left, hmm_vec2 Right)
|
|
|
|
{
|
|
|
|
hmm_vec2 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Add(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec3
|
|
|
|
operator+(hmm_vec3 Left, hmm_vec3 Right)
|
|
|
|
{
|
|
|
|
hmm_vec3 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Add(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4
|
|
|
|
operator+(hmm_vec4 Left, hmm_vec4 Right)
|
|
|
|
{
|
|
|
|
hmm_vec4 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Add(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_mat4
|
|
|
|
operator+(hmm_mat4 Left, hmm_mat4 Right)
|
|
|
|
{
|
|
|
|
hmm_mat4 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Add(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_quaternion
|
|
|
|
operator+(hmm_quaternion Left, hmm_quaternion Right)
|
|
|
|
{
|
|
|
|
hmm_quaternion Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Add(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec2
|
|
|
|
operator-(hmm_vec2 Left, hmm_vec2 Right)
|
|
|
|
{
|
|
|
|
hmm_vec2 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Subtract(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec3
|
|
|
|
operator-(hmm_vec3 Left, hmm_vec3 Right)
|
|
|
|
{
|
|
|
|
hmm_vec3 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Subtract(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4
|
|
|
|
operator-(hmm_vec4 Left, hmm_vec4 Right)
|
|
|
|
{
|
|
|
|
hmm_vec4 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Subtract(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_mat4
|
|
|
|
operator-(hmm_mat4 Left, hmm_mat4 Right)
|
|
|
|
{
|
|
|
|
hmm_mat4 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Subtract(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_quaternion
|
|
|
|
operator-(hmm_quaternion Left, hmm_quaternion Right)
|
|
|
|
{
|
|
|
|
hmm_quaternion Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Subtract(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec2
|
|
|
|
operator*(hmm_vec2 Left, hmm_vec2 Right)
|
|
|
|
{
|
|
|
|
hmm_vec2 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Multiply(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec3
|
|
|
|
operator*(hmm_vec3 Left, hmm_vec3 Right)
|
|
|
|
{
|
|
|
|
hmm_vec3 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Multiply(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4
|
|
|
|
operator*(hmm_vec4 Left, hmm_vec4 Right)
|
|
|
|
{
|
|
|
|
hmm_vec4 Result = HMM_Multiply(Left, Right);
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec2
|
|
|
|
operator*(hmm_vec2 Left, float Right)
|
|
|
|
{
|
|
|
|
hmm_vec2 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Multiply(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec3
|
|
|
|
operator*(hmm_vec3 Left, float Right)
|
|
|
|
{
|
|
|
|
hmm_vec3 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Multiply(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4
|
|
|
|
operator*(hmm_vec4 Left, float Right)
|
|
|
|
{
|
|
|
|
hmm_vec4 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Multiply(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_mat4
|
|
|
|
operator*(hmm_mat4 Left, float Right)
|
|
|
|
{
|
|
|
|
hmm_mat4 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Multiply(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec2
|
|
|
|
operator*(float Left, hmm_vec2 Right)
|
|
|
|
{
|
|
|
|
hmm_vec2 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Multiply(Right, Left);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec3
|
|
|
|
operator*(float Left, hmm_vec3 Right)
|
|
|
|
{
|
|
|
|
hmm_vec3 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Multiply(Right, Left);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4
|
|
|
|
operator*(float Left, hmm_vec4 Right)
|
|
|
|
{
|
|
|
|
hmm_vec4 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Multiply(Right, Left);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_mat4
|
|
|
|
operator*(float Left, hmm_mat4 Right)
|
|
|
|
{
|
|
|
|
hmm_mat4 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Multiply(Right, Left);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_mat4
|
|
|
|
operator*(hmm_mat4 Left, hmm_mat4 Right)
|
|
|
|
{
|
|
|
|
hmm_mat4 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Multiply(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4
|
|
|
|
operator*(hmm_mat4 Matrix, hmm_vec4 Vector)
|
|
|
|
{
|
|
|
|
hmm_vec4 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Multiply(Matrix, Vector);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_quaternion
|
|
|
|
operator*(hmm_quaternion Left, hmm_quaternion Right)
|
|
|
|
{
|
|
|
|
hmm_quaternion Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Multiply(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_quaternion
|
|
|
|
operator*(hmm_quaternion Left, float Right)
|
|
|
|
{
|
|
|
|
hmm_quaternion Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Multiply(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_quaternion
|
|
|
|
operator*(float Left, hmm_quaternion Right)
|
|
|
|
{
|
|
|
|
hmm_quaternion Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Multiply(Right, Left);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec2
|
|
|
|
operator/(hmm_vec2 Left, hmm_vec2 Right)
|
|
|
|
{
|
|
|
|
hmm_vec2 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Divide(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec3
|
|
|
|
operator/(hmm_vec3 Left, hmm_vec3 Right)
|
|
|
|
{
|
|
|
|
hmm_vec3 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Divide(Left, Right);
|
|
|
|
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4
|
|
|
|
operator/(hmm_vec4 Left, hmm_vec4 Right)
|
|
|
|
{
|
|
|
|
hmm_vec4 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Divide(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec2
|
|
|
|
operator/(hmm_vec2 Left, float Right)
|
|
|
|
{
|
|
|
|
hmm_vec2 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Divide(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec3
|
|
|
|
operator/(hmm_vec3 Left, float Right)
|
|
|
|
{
|
|
|
|
hmm_vec3 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Divide(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4
|
|
|
|
operator/(hmm_vec4 Left, float Right)
|
|
|
|
{
|
|
|
|
hmm_vec4 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Divide(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_mat4
|
|
|
|
operator/(hmm_mat4 Left, float Right)
|
|
|
|
{
|
|
|
|
hmm_mat4 Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Divide(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_quaternion
|
|
|
|
operator/(hmm_quaternion Left, float Right)
|
|
|
|
{
|
|
|
|
hmm_quaternion Result = {0};
|
|
|
|
|
|
|
|
Result = HMM_Divide(Left, Right);
|
|
|
|
return (Result);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec2 &
|
|
|
|
operator+=(hmm_vec2 &Left, hmm_vec2 Right)
|
|
|
|
{
|
|
|
|
return (Left = Left + Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec3 &
|
|
|
|
operator+=(hmm_vec3 &Left, hmm_vec3 Right)
|
|
|
|
{
|
|
|
|
return (Left = Left + Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4 &
|
|
|
|
operator+=(hmm_vec4 &Left, hmm_vec4 Right)
|
|
|
|
{
|
|
|
|
return (Left = Left + Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_mat4 &
|
|
|
|
operator+=(hmm_mat4 &Left, hmm_mat4 Right)
|
|
|
|
{
|
|
|
|
return (Left = Left + Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_quaternion &
|
|
|
|
operator+=(hmm_quaternion &Left, hmm_quaternion Right)
|
|
|
|
{
|
|
|
|
return (Left = Left + Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec2 &
|
|
|
|
operator-=(hmm_vec2 &Left, hmm_vec2 Right)
|
|
|
|
{
|
|
|
|
return (Left = Left - Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec3 &
|
|
|
|
operator-=(hmm_vec3 &Left, hmm_vec3 Right)
|
|
|
|
{
|
|
|
|
return (Left = Left - Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4 &
|
|
|
|
operator-=(hmm_vec4 &Left, hmm_vec4 Right)
|
|
|
|
{
|
|
|
|
return (Left = Left - Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_mat4 &
|
|
|
|
operator-=(hmm_mat4 &Left, hmm_mat4 Right)
|
|
|
|
{
|
|
|
|
return (Left = Left - Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_quaternion &
|
|
|
|
operator-=(hmm_quaternion &Left, hmm_quaternion Right)
|
|
|
|
{
|
|
|
|
return (Left = Left - Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec2 &
|
|
|
|
operator/=(hmm_vec2 &Left, hmm_vec2 Right)
|
|
|
|
{
|
|
|
|
return (Left = Left / Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec3 &
|
|
|
|
operator/=(hmm_vec3 &Left, hmm_vec3 Right)
|
|
|
|
{
|
|
|
|
return (Left = Left / Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4 &
|
|
|
|
operator/=(hmm_vec4 &Left, hmm_vec4 Right)
|
|
|
|
{
|
|
|
|
return (Left = Left / Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec2 &
|
|
|
|
operator/=(hmm_vec2 &Left, float Right)
|
|
|
|
{
|
|
|
|
return (Left = Left / Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec3 &
|
|
|
|
operator/=(hmm_vec3 &Left, float Right)
|
|
|
|
{
|
|
|
|
return (Left = Left / Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4 &
|
|
|
|
operator/=(hmm_vec4 &Left, float Right)
|
|
|
|
{
|
|
|
|
return (Left = Left / Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_mat4 &
|
|
|
|
operator/=(hmm_mat4 &Left, float Right)
|
|
|
|
{
|
|
|
|
return (Left = Left / Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_quaternion &
|
|
|
|
operator/=(hmm_quaternion &Left, float Right)
|
|
|
|
{
|
|
|
|
return (Left = Left / Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec2 &
|
|
|
|
operator*=(hmm_vec2 &Left, hmm_vec2 Right)
|
|
|
|
{
|
|
|
|
return (Left = Left * Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec3 &
|
|
|
|
operator*=(hmm_vec3 &Left, hmm_vec3 Right)
|
|
|
|
{
|
|
|
|
return (Left = Left * Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4 &
|
|
|
|
operator*=(hmm_vec4 &Left, hmm_vec4 Right)
|
|
|
|
{
|
|
|
|
return (Left = Left * Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec2 &
|
|
|
|
operator*=(hmm_vec2 &Left, float Right)
|
|
|
|
{
|
|
|
|
return (Left = Left * Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec3 &
|
|
|
|
operator*=(hmm_vec3 &Left, float Right)
|
|
|
|
{
|
|
|
|
return (Left = Left * Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_vec4 &
|
|
|
|
operator*=(hmm_vec4 &Left, float Right)
|
|
|
|
{
|
|
|
|
return (Left = Left * Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_mat4 &
|
|
|
|
operator*=(hmm_mat4 &Left, float Right)
|
|
|
|
{
|
|
|
|
return (Left = Left * Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_quaternion &
|
|
|
|
operator*=(hmm_quaternion &Left, float Right)
|
|
|
|
{
|
|
|
|
return (Left = Left * Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_bool
|
|
|
|
operator==(hmm_vec2 Left, hmm_vec2 Right)
|
|
|
|
{
|
|
|
|
return HMM_EqualsVec2(Left, Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_bool
|
|
|
|
operator==(hmm_vec3 Left, hmm_vec3 Right)
|
|
|
|
{
|
|
|
|
return HMM_EqualsVec3(Left, Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_bool
|
|
|
|
operator==(hmm_vec4 Left, hmm_vec4 Right)
|
|
|
|
{
|
|
|
|
return HMM_EqualsVec4(Left, Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
HINLINE hmm_bool
|
|
|
|
operator!=(hmm_vec2 Left, hmm_vec2 Right)
|
|
|
|
{
|
|
|
|
return !HMM_EqualsVec2(Left, Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_bool
|
|
|
|
operator!=(hmm_vec3 Left, hmm_vec3 Right)
|
|
|
|
{
|
|
|
|
return !HMM_EqualsVec3(Left, Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
HINLINE hmm_bool
|
|
|
|
operator!=(hmm_vec4 Left, hmm_vec4 Right)
|
|
|
|
{
|
|
|
|
return !HMM_EqualsVec4(Left, Right);
|
|
|
|
}
|
|
|
|
|
|
|
|
#endif /* HANDMADE_MATH_CPP_MODE */
|
|
|
|
|
|
|
|
#ifdef __clang__
|
|
|
|
#pragma clang diagnostic pop
|
|
|
|
#endif
|
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#endif /* HANDMADE_MATH_IMPLEMENTATION */
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