redorav / hlslpp

Math library using hlsl syntax with SSE/NEON support

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Small header-only math library for C++ with the same syntax as the hlsl shading language. It supports any SSE (x86/x64 devices like PC, Mac, PS4/5, Xbox One/Series) and NEON (ARM devices like Android, iOS, Switch) platforms. It features swizzling and all the operators and functions from the hlsl documentation. The library is aimed mainly at game developers as it's meant to ease the C++ to shader bridge by providing common syntax, but can be used for any application requiring fast, portable math. It also adds some functionality that hlsl doesn't natively provide, such as convenient matrix functions, quaternions and extended vectors such as float8 (8-component float) that take advantage of wide SSE registers.


hlsl++ allows you to be as expressive in C++ as when programming in the shader language. Constructs such as the following are possible.

float4 foo4 = float4(1, 2, 3, 4);
float3 bar3 = foo4.xzy;
float2 logFoo2 = log(bar3.xz);
foo4.wx = logFoo2.yx;
float4 baz4 = float4(logFoo2, foo4.zz);
float4x4 fooMatrix4x4 = float4x4( 1, 2, 3, 4,
                                  5, 6, 7, 8,
                                  8, 7, 6, 5,
                                  4, 3, 2, 1);
float4 myTransformedVector = mul(fooMatrix4x4, baz4);
int2 ifoo2 = int2(1, 2);
int4 ifoo4 = int4(1, 2, 3, 4) + ifoo2.xyxy;
float4 fooCast4 = ifoo4.wwyx;

float8 foo8 = float8(1, 2, 3, 4, 5, 6, 7, 8);
float8 bar8 = float8(1, 2, 3, 4, 5, 6, 7, 8);
float8 add8 = foo8 + bar8;

The natvis files provided for Visual Studio debugging allow you to see both vectors and the result of the swizzling in the debugging window in a programmer-friendly way.

Swizzle Natvis Preview


The only required features are a C++ compiler supporting anonymous unions, and SSE or NEON depending on your target platform. If your target platform does not have SIMD support, it can also fall back to a scalar implementation. As a curiosity it also includes an Xbox 360 implementation.

How to use

#include "hlsl++.h"

Remember to also add an include path to "hlslpp/include". hlsl++.h pulls in other headers that live in the same folder. To force the scalar version of the library, define HLSLPP_SCALAR. Also, Windows has defines for min and max so if you're using this library and the <windows.h> header remember to #define NOMINMAX before including it.


  • SSE/AVX/AVX2, NEON, Xbox360, and scalar versions
  • float1, float2, float3, float4, float8
  • int1, int2, int3, int4
  • uint1, uint2, uint3, uint4
  • double1, double2, double3, double4
  • floatNxM
  • quaternion
  • Conversion construction and assignment, e.g. float4(float2, float2) and int4(float2, int2)
  • Efficient swizzling for all vector types
  • Basic operators +, *, -, / for all vector and matrix types
  • Per-component comparison operators ==, !=, >, <, >=, <= (no ternary operator as overloading is disallowed in C++)
  • hlsl vector functions: abs, acos, all, any, asin, atan, atan2, ceil, clamp, cos, cosh, cross, degrees, dot, floor, fmod, frac, exp, exp2, isfinite, isinf, isnan, length, lerp, log, log2, log10, max, mad, min, modf, normalize, pow, radians, reflect, refract, round, rsqrt, saturate, sign, sin, sincos, sinh, smoothstep, sqrt, step, trunc, tan, tanh
  • Additional matrix functions: determinant, transpose, inverse (not in hlsl but very useful)
  • Matrix multiplication for all NxM matrix combinations
  • Transformation matrices for scale, rotation and translation, as well as world-to-view look_at and view-to-projection orthographic/perspective coordinate transformations. These static functions are optionally available for matrix types float2x2, float3x3, float4x4 when hlsl++.h is compiled with HLSLPP_FEATURE_TRANSFORM definition.
  • Native visualizers for Visual Studio (.natvis files) which correctly parse with both MSVC and Clang in Windows


  • floatNxM _m00_m01 style swizzling (rows implemented but missing columns)
  • boolN types
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Math library using hlsl syntax with SSE/NEON support

License:MIT License


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