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Author SHA1 Message Date
strangezak
94859b2a32 Updated version info 2018-11-28 15:34:53 -08:00
strangezak
f50c9a3165 Removed copy in operator[] 2018-11-26 16:40:40 -08:00
3 changed files with 123 additions and 212 deletions

View File

@@ -1,5 +1,5 @@
/*
HandmadeMath.h v1.9.0
HandmadeMath.h v1.7.1
This is a single header file with a bunch of useful functions for game and
graphics math operations.
@@ -65,6 +65,121 @@
versions of these functions that are provided by the CRT.
=============================================================================
Version History:
0.2 (*) Updated documentation
(*) Better C compliance
(*) Prefix all handmade math functions
(*) Better operator overloading
0.2a
(*) Prefixed Macros
0.2b
(*) Disabled warning 4201 on MSVC as it is legal is C11
(*) Removed the f at the end of HMM_PI to get 64bit precision
0.3
(*) Added +=, -=, *=, /= for hmm_vec2, hmm_vec3, hmm_vec4
0.4
(*) SSE Optimized HMM_SqrtF
(*) SSE Optimized HMM_RSqrtF
(*) Removed CRT
0.5
(*) Added scalar multiplication and division for vectors
and matrices
(*) Added matrix subtraction and += for hmm_mat4
(*) Reconciled all headers and implementations
(*) Tidied up, and filled in a few missing operators
0.5.1
(*) Ensured column-major order for matrices throughout
(*) Fixed HMM_Translate producing row-major matrices
0.5.2
(*) Fixed SSE code in HMM_SqrtF
(*) Fixed SSE code in HMM_RSqrtF
0.6
(*) Added Unit testing
(*) Made HMM_Power faster
(*) Fixed possible efficiency problem with HMM_Normalize
(*) RENAMED HMM_LengthSquareRoot to HMM_LengthSquared
(*) RENAMED HMM_RSqrtF to HMM_RSquareRootF
(*) RENAMED HMM_SqrtF to HMM_SquareRootF
(*) REMOVED Inner function (user should use Dot now)
(*) REMOVED HMM_FastInverseSquareRoot function declaration
0.7
(*) REMOVED HMM_LengthSquared in HANDMADE_MATH_IMPLEMENTATION (should
use HMM_LengthSquaredVec3, or HANDMADE_MATH_CPP_MODE for function
overloaded version)
(*) REMOVED HMM_Length in HANDMADE_MATH_IMPLEMENTATION (should use
HMM_LengthVec3, HANDMADE_MATH_CPP_MODE for function
overloaded version)
(*) REMOVED HMM_Normalize in HANDMADE_MATH_IMPLEMENTATION (should use
HMM_NormalizeVec3, or HANDMADE_MATH_CPP_MODE for function
overloaded version)
(*) Added HMM_LengthSquaredVec2
(*) Added HMM_LengthSquaredVec4
(*) Addd HMM_LengthVec2
(*) Added HMM_LengthVec4
(*) Added HMM_NormalizeVec2
(*) Added HMM_NormalizeVec4
1.0
(*) Lots of testing!
1.1
(*) Quaternion support
(*) Added type hmm_quaternion
(*) Added HMM_Quaternion
(*) Added HMM_QuaternionV4
(*) Added HMM_AddQuaternion
(*) Added HMM_SubtractQuaternion
(*) Added HMM_MultiplyQuaternion
(*) Added HMM_MultiplyQuaternionF
(*) Added HMM_DivideQuaternionF
(*) Added HMM_InverseQuaternion
(*) Added HMM_DotQuaternion
(*) Added HMM_NormalizeQuaternion
(*) Added HMM_Slerp
(*) Added HMM_QuaternionToMat4
(*) Added HMM_QuaternionFromAxisAngle
1.1.1
(*) Resolved compiler warnings on gcc and g++
1.1.2
(*) Fixed invalid HMMDEF's in the function definitions
1.1.3
(*) Fixed compile error in C mode
1.1.4
(*) Fixed SSE being included on platforms that don't support it
(*) Fixed divide-by-zero errors when normalizing zero vectors.
1.1.5
(*) Add Width and Height to HMM_Vec2
(*) Made it so you can supply your own SqrtF
1.2.0
(*) Added equality functions for HMM_Vec2, HMM_Vec3, and HMM_Vec4.
(*) Added HMM_EqualsVec2, HMM_EqualsVec3, and HMM_EqualsVec4
(*) Added C++ overloaded HMM_Equals for all three
(*) Added C++ == and != operators for all three
(*) SSE'd HMM_MultiplyMat4 (this is _WAY_ faster)
(*) SSE'd HMM_Transpose
1.3.0
(*) Remove need to #define HANDMADE_MATH_CPP_MODE
1.4.0
(*) Fixed bug when using HandmadeMath in C mode
(*) SSEd all vec4 operations
(*) Removed all zero-ing
1.5.0
(*) Changed internal structure for better performance and inlining.
(*) As a result, HANDMADE_MATH_NO_INLINE has been removed and no
longer has any effect.
1.5.1
(*) Fixed a bug with uninitialized elements in HMM_LookAt.
1.6.0
(*) Added array subscript operators for vector and matrix types in
C++. This is provided as a convenience, but be aware that it may
incur an extra function call in unoptimized builds.
1.7.0
(*) Renamed the 'Rows' member of hmm_mat4 to 'Columns'. Since our
matrices are column-major, this should have been named 'Columns'
from the start. 'Rows' is still present, but has been deprecated.
1.7.1
(*) Changed operator[] to take in a const ref int instead of a int.
Simple dumb mistake. NOTE: The compiler still wont inline operator[]
for some reason
LICENSE
@@ -83,7 +198,6 @@
Gingerbill (@TheGingerBill)
Ben Visness (@bvisness)
Trinton Bullard (@Peliex_Dev)
@AntonDan
Fixes:
Jeroen van Rijn (@J_vanRijn)
@@ -380,10 +494,6 @@ typedef union hmm_quaternion
};
float Elements[4];
#ifdef HANDMADE_MATH__USE_SSE
__m128 InternalElementsSSE;
#endif
} hmm_quaternion;
typedef int32_t hmm_bool;
@@ -1021,21 +1131,6 @@ HMM_INLINE hmm_vec4 HMM_NormalizeVec4(hmm_vec4 A)
return (Result);
}
HMM_INLINE hmm_vec2 HMM_FastNormalizeVec2(hmm_vec2 A)
{
return HMM_MultiplyVec2f(A, HMM_RSquareRootF(HMM_DotVec2(A, A)));
}
HMM_INLINE hmm_vec3 HMM_FastNormalizeVec3(hmm_vec3 A)
{
return HMM_MultiplyVec3f(A, HMM_RSquareRootF(HMM_DotVec3(A, A)));
}
HMM_INLINE hmm_vec4 HMM_FastNormalizeVec4(hmm_vec4 A)
{
return HMM_MultiplyVec4f(A, HMM_RSquareRootF(HMM_DotVec4(A, A)));
}
/*
* SSE stuff
@@ -1233,14 +1328,10 @@ HMM_INLINE hmm_quaternion HMM_Quaternion(float X, float Y, float Z, float W)
{
hmm_quaternion Result;
#ifdef HANDMADE_MATH__USE_SSE
Result.InternalElementsSSE = _mm_setr_ps(X, Y, Z, W);
#else
Result.X = X;
Result.Y = Y;
Result.Z = Z;
Result.W = W;
#endif
return (Result);
}
@@ -1249,14 +1340,10 @@ HMM_INLINE hmm_quaternion HMM_QuaternionV4(hmm_vec4 Vector)
{
hmm_quaternion Result;
#ifdef HANDMADE_MATH__USE_SSE
Result.InternalElementsSSE = Vector.InternalElementsSSE;
#else
Result.X = Vector.X;
Result.Y = Vector.Y;
Result.Z = Vector.Z;
Result.W = Vector.W;
#endif
return (Result);
}
@@ -1265,15 +1352,10 @@ HMM_INLINE hmm_quaternion HMM_AddQuaternion(hmm_quaternion Left, hmm_quaternion
{
hmm_quaternion Result;
#ifdef HANDMADE_MATH__USE_SSE
Result.InternalElementsSSE = _mm_add_ps(Left.InternalElementsSSE, Right.InternalElementsSSE);
#else
Result.X = Left.X + Right.X;
Result.Y = Left.Y + Right.Y;
Result.Z = Left.Z + Right.Z;
Result.W = Left.W + Right.W;
#endif
return (Result);
}
@@ -1282,15 +1364,10 @@ HMM_INLINE hmm_quaternion HMM_SubtractQuaternion(hmm_quaternion Left, hmm_quater
{
hmm_quaternion Result;
#ifdef HANDMADE_MATH__USE_SSE
Result.InternalElementsSSE = _mm_sub_ps(Left.InternalElementsSSE, Right.InternalElementsSSE);
#else
Result.X = Left.X - Right.X;
Result.Y = Left.Y - Right.Y;
Result.Z = Left.Z - Right.Z;
Result.W = Left.W - Right.W;
#endif
return (Result);
}
@@ -1299,28 +1376,10 @@ HMM_INLINE hmm_quaternion HMM_MultiplyQuaternion(hmm_quaternion Left, hmm_quater
{
hmm_quaternion Result;
#ifdef HANDMADE_MATH__USE_SSE
__m128 SSEResultOne = _mm_xor_ps(_mm_shuffle_ps(Left.InternalElementsSSE, Left.InternalElementsSSE, _MM_SHUFFLE(0, 0, 0, 0)), _mm_setr_ps(0.f, -0.f, 0.f, -0.f));
__m128 SSEResultTwo = _mm_shuffle_ps(Right.InternalElementsSSE, Right.InternalElementsSSE, _MM_SHUFFLE(0, 1, 2, 3));
__m128 SSEResultThree = _mm_mul_ps(SSEResultTwo, SSEResultOne);
SSEResultOne = _mm_xor_ps(_mm_shuffle_ps(Left.InternalElementsSSE, Left.InternalElementsSSE, _MM_SHUFFLE(1, 1, 1, 1)) , _mm_setr_ps(0.f, 0.f, -0.f, -0.f));
SSEResultTwo = _mm_shuffle_ps(Right.InternalElementsSSE, Right.InternalElementsSSE, _MM_SHUFFLE(1, 0, 3, 2));
SSEResultThree = _mm_add_ps(SSEResultThree, _mm_mul_ps(SSEResultTwo, SSEResultOne));
SSEResultOne = _mm_xor_ps(_mm_shuffle_ps(Left.InternalElementsSSE, Left.InternalElementsSSE, _MM_SHUFFLE(2, 2, 2, 2)), _mm_setr_ps(-0.f, 0.f, 0.f, -0.f));
SSEResultTwo = _mm_shuffle_ps(Right.InternalElementsSSE, Right.InternalElementsSSE, _MM_SHUFFLE(2, 3, 0, 1));
SSEResultThree = _mm_add_ps(SSEResultThree, _mm_mul_ps(SSEResultTwo, SSEResultOne));
SSEResultOne = _mm_shuffle_ps(Left.InternalElementsSSE, Left.InternalElementsSSE, _MM_SHUFFLE(3, 3, 3, 3));
SSEResultTwo = _mm_shuffle_ps(Right.InternalElementsSSE, Right.InternalElementsSSE, _MM_SHUFFLE(3, 2, 1, 0));
Result.InternalElementsSSE = _mm_add_ps(SSEResultThree, _mm_mul_ps(SSEResultTwo, SSEResultOne));
#else
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);
#endif
return (Result);
}
@@ -1329,15 +1388,10 @@ HMM_INLINE hmm_quaternion HMM_MultiplyQuaternionF(hmm_quaternion Left, float Mul
{
hmm_quaternion Result;
#ifdef HANDMADE_MATH__USE_SSE
__m128 Scalar = _mm_set1_ps(Multiplicative);
Result.InternalElementsSSE = _mm_mul_ps(Left.InternalElementsSSE, Scalar);
#else
Result.X = Left.X * Multiplicative;
Result.Y = Left.Y * Multiplicative;
Result.Z = Left.Z * Multiplicative;
Result.W = Left.W * Multiplicative;
#endif
return (Result);
}
@@ -1346,15 +1400,10 @@ HMM_INLINE hmm_quaternion HMM_DivideQuaternionF(hmm_quaternion Left, float Divid
{
hmm_quaternion Result;
#ifdef HANDMADE_MATH__USE_SSE
__m128 Scalar = _mm_set1_ps(Dividend);
Result.InternalElementsSSE = _mm_div_ps(Left.InternalElementsSSE, Scalar);
#else
Result.X = Left.X / Dividend;
Result.Y = Left.Y / Dividend;
Result.Z = Left.Z / Dividend;
Result.W = Left.W / Dividend;
#endif
return (Result);
}
@@ -1363,18 +1412,7 @@ HMM_EXTERN hmm_quaternion HMM_InverseQuaternion(hmm_quaternion Left);
HMM_INLINE float HMM_DotQuaternion(hmm_quaternion Left, hmm_quaternion Right)
{
float Result;
#ifdef HANDMADE_MATH__USE_SSE
__m128 SSEResultOne = _mm_mul_ps(Left.InternalElementsSSE, Right.InternalElementsSSE);
__m128 SSEResultTwo = _mm_shuffle_ps(SSEResultOne, SSEResultOne, _MM_SHUFFLE(2, 3, 0, 1));
SSEResultOne = _mm_add_ps(SSEResultOne, SSEResultTwo);
SSEResultTwo = _mm_shuffle_ps(SSEResultOne, SSEResultOne, _MM_SHUFFLE(0, 1, 2, 3));
SSEResultOne = _mm_add_ps(SSEResultOne, SSEResultTwo);
_mm_store_ss(&Result, SSEResultOne);
#else
Result = (Left.X * Right.X) + (Left.Y * Right.Y) + (Left.Z * Right.Z) + (Left.W * Right.W);
#endif
float Result = (Left.X * Right.X) + (Left.Y * Right.Y) + (Left.Z * Right.Z) + (Left.W * Right.W);
return (Result);
}
@@ -1393,18 +1431,11 @@ HMM_INLINE hmm_quaternion HMM_NLerp(hmm_quaternion Left, float Time, hmm_quatern
{
hmm_quaternion Result;
#ifdef HANDMADE_MATH__USE_SSE
__m128 ScalarLeft = _mm_set1_ps(1.0f - Time);
__m128 ScalarRight = _mm_set1_ps(Time);
__m128 SSEResultOne = _mm_mul_ps(Left.InternalElementsSSE, ScalarLeft);
__m128 SSEResultTwo = _mm_mul_ps(Right.InternalElementsSSE, ScalarRight);
Result.InternalElementsSSE = _mm_add_ps(SSEResultOne, SSEResultTwo);
#else
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);
#endif
Result = HMM_NormalizeQuaternion(Result);
return (Result);
@@ -1483,27 +1514,6 @@ HMM_INLINE hmm_vec4 HMM_Normalize(hmm_vec4 A)
return (Result);
}
HMM_INLINE hmm_vec2 HMM_FastNormalize(hmm_vec2 A)
{
hmm_vec2 Result = HMM_FastNormalizeVec2(A);
return (Result);
}
HMM_INLINE hmm_vec3 HMM_FastNormalize(hmm_vec3 A)
{
hmm_vec3 Result = HMM_FastNormalizeVec3(A);
return (Result);
}
HMM_INLINE hmm_vec4 HMM_FastNormalize(hmm_vec4 A)
{
hmm_vec4 Result = HMM_FastNormalizeVec4(A);
return (Result);
}
HMM_INLINE hmm_quaternion HMM_Normalize(hmm_quaternion A)
{
hmm_quaternion Result = HMM_NormalizeQuaternion(A);
@@ -2412,7 +2422,10 @@ hmm_quaternion HMM_InverseQuaternion(hmm_quaternion Left)
Norm = HMM_SquareRootF(HMM_DotQuaternion(Left, Left));
NormSquared = Norm * Norm;
Result = HMM_DivideQuaternionF(Conjugate, NormSquared);
Result.X = Conjugate.X / NormSquared;
Result.Y = Conjugate.Y / NormSquared;
Result.Z = Conjugate.Z / NormSquared;
Result.W = Conjugate.W / NormSquared;
return (Result);
}

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@@ -10,9 +10,7 @@ To get started, go download [the latest release](https://github.com/HandmadeMath
Version | Changes |
----------------|----------------|
**1.9.0** | Added SSE versions of quaternion operations. |
**1.8.0** | Added fast vector normalization routines that use fast inverse square roots.
**1.7.1** | Changed operator[] to take a const ref int instead of an int.
**1.7.1** | Changed operator[] to take in a const ref int instead of a int. Simple mistake
**1.7.0** | Renamed the 'Rows' member of hmm_mat4 to 'Columns'. Since our matrices are column-major, this should have been named 'Columns' from the start. 'Rows' is still present, but has been deprecated.
**1.6.0** | Added array subscript operators for vector and matrix types in C++. This is provided as a convenience, but be aware that it may incur an extra function call in unoptimized builds.
**1.5.1** | Fixed a bug with uninitialized elements in HMM_LookAt.

View File

@@ -134,106 +134,6 @@ TEST(VectorOps, NormalizeZero)
#endif
}
TEST(VectorOps, FastNormalize)
{
hmm_vec2 v2 = HMM_Vec2(1.0f, -2.0f);
hmm_vec3 v3 = HMM_Vec3(1.0f, -2.0f, 3.0f);
hmm_vec4 v4 = HMM_Vec4(1.0f, -2.0f, 3.0f, -1.0f);
{
hmm_vec2 result = HMM_FastNormalizeVec2(v2);
EXPECT_NEAR(HMM_LengthVec2(result), 1.0f, 0.001f);
EXPECT_GT(result.X, 0.0f);
EXPECT_LT(result.Y, 0.0f);
}
{
hmm_vec3 result = HMM_FastNormalizeVec3(v3);
EXPECT_NEAR(HMM_LengthVec3(result), 1.0f, 0.001f);
EXPECT_GT(result.X, 0.0f);
EXPECT_LT(result.Y, 0.0f);
EXPECT_GT(result.Z, 0.0f);
}
{
hmm_vec4 result = HMM_FastNormalizeVec4(v4);
EXPECT_NEAR(HMM_LengthVec4(result), 1.0f, 0.001f);
EXPECT_GT(result.X, 0.0f);
EXPECT_LT(result.Y, 0.0f);
EXPECT_GT(result.Z, 0.0f);
EXPECT_LT(result.W, 0.0f);
}
#ifdef __cplusplus
{
hmm_vec2 result = HMM_FastNormalize(v2);
EXPECT_NEAR(HMM_LengthVec2(result), 1.0f, 0.001f);
EXPECT_GT(result.X, 0.0f);
EXPECT_LT(result.Y, 0.0f);
}
{
hmm_vec3 result = HMM_FastNormalize(v3);
EXPECT_NEAR(HMM_LengthVec3(result), 1.0f, 0.001f);
EXPECT_GT(result.X, 0.0f);
EXPECT_LT(result.Y, 0.0f);
EXPECT_GT(result.Z, 0.0f);
}
{
hmm_vec4 result = HMM_FastNormalize(v4);
EXPECT_NEAR(HMM_LengthVec4(result), 1.0f, 0.001f);
EXPECT_GT(result.X, 0.0f);
EXPECT_LT(result.Y, 0.0f);
EXPECT_GT(result.Z, 0.0f);
EXPECT_LT(result.W, 0.0f);
}
#endif
}
TEST(VectorOps, FastNormalizeZero)
{
hmm_vec2 v2 = HMM_Vec2(0.0f, 0.0f);
hmm_vec3 v3 = HMM_Vec3(0.0f, 0.0f, 0.0f);
hmm_vec4 v4 = HMM_Vec4(0.0f, 0.0f, 0.0f, 0.0f);
{
hmm_vec2 result = HMM_FastNormalizeVec2(v2);
EXPECT_FLOAT_EQ(result.X, 0.0f);
EXPECT_FLOAT_EQ(result.Y, 0.0f);
}
{
hmm_vec3 result = HMM_FastNormalizeVec3(v3);
EXPECT_FLOAT_EQ(result.X, 0.0f);
EXPECT_FLOAT_EQ(result.Y, 0.0f);
EXPECT_FLOAT_EQ(result.Z, 0.0f);
}
{
hmm_vec4 result = HMM_FastNormalizeVec4(v4);
EXPECT_FLOAT_EQ(result.X, 0.0f);
EXPECT_FLOAT_EQ(result.Y, 0.0f);
EXPECT_FLOAT_EQ(result.Z, 0.0f);
EXPECT_FLOAT_EQ(result.W, 0.0f);
}
#ifdef __cplusplus
{
hmm_vec2 result = HMM_FastNormalize(v2);
EXPECT_FLOAT_EQ(result.X, 0.0f);
EXPECT_FLOAT_EQ(result.Y, 0.0f);
}
{
hmm_vec3 result = HMM_FastNormalize(v3);
EXPECT_FLOAT_EQ(result.X, 0.0f);
EXPECT_FLOAT_EQ(result.Y, 0.0f);
EXPECT_FLOAT_EQ(result.Z, 0.0f);
}
{
hmm_vec4 result = HMM_FastNormalize(v4);
EXPECT_FLOAT_EQ(result.X, 0.0f);
EXPECT_FLOAT_EQ(result.Y, 0.0f);
EXPECT_FLOAT_EQ(result.Z, 0.0f);
EXPECT_FLOAT_EQ(result.W, 0.0f);
}
#endif
}
TEST(VectorOps, Cross)
{
hmm_vec3 v1 = HMM_Vec3(1.0f, 2.0f, 3.0f);