Extension Library for Unity.Mathematics & quality of life improvements !
com.ltmx.mathematics.mathx
- Copy Git Package URL :
https://github.com/LTMX/Unity.mathx.git - In Unity :
Window > Package Manager > Add Package From Git URL
- Download the package in releases
- Unity :
Window > Package Manager > Add Package From Disk - Select the
package.jsonfile inside the unzipped package
using static Unity.Mathematics.mathx;return anyVector.length().clamp(0, 10).cos().sq().cube().sum().cmul().rotate(anyQuaternion).clint().div(3.2f).rcp();// Example
float3 x = new float3(1,1,1);
// here x is set before computing lengthsq()
var x = x.mult(4.2f).shuffle().set(out x).lengthsq() + x;
// we would have to write two lines instead
x = x.div(4.2f).shuffle();
x = x.lengthsq() + x;
bool4.any(); // returns true if any component is true // or-gate
bool4.all(); // returns trye if all components are true // and-gate- Fast Functions
- Constants (PI, HPI, EULER, TAU, and
many scientific constants -
Mathffunction implementations missing fromUnity.Mathematics - Random Extensions (
Random.rangeand others) - Component based functions (
cmax,cmin,cmul,cmaxAxis,cminAxis,sum) - Signed Distance Functions
- Component based logic (
any,all,select,approx,odd,even,isnan,anynan) - Multidimentional Array data accessors =>
anyfloat4[,,].Get(anyInt3) - Interpolation Functions (
InOutCubic,smoothstep,smoothstep11,smoothstep9, and others) -
smoothmin,smoothmax - Shorthands (
3D Directions,2D Directions, and others) - Data Construction (
append,float2.xyzw(), matrix construction, etc) - Data Conversion (
anyColortArray.tofloat4Array(), and others) - Noise Functions
WIP(Simplex,Perlin,Whorley,Layered,Voronoi) - Documentation
80% Complete - Job Helpers
WIP - Burst Compiled Function Pointers
WIP 50% - Function Iterators (prevents nested loops)
WIP 50% - Hashing Functions
WIP 80% - Vector Function Builders
WIP 50% - Generic Jobs
WIP 50% - Mesh Processing
WIP 0%
struct bounds; // UnityEngine translation compatible with Unity.Mathematics (implicit cast to "UnityEngine.Bounds")
struct ray; // UnityEngine translation compatible with Unity.Mathematics (implicit cast to "UnityEngine.Ray")
struct color; // UnityEngine translation compatible with Unity.Mathematics (implicit cast to "UnityEngine.Color")
struct byte4; // Useful for Color32 to byte conversion, Useful for image file export (implicit cast to "UnityEngine.Color32") //For Unity.QOI
struct byte3; // For Unity.QOI
struct byte2;
struct byte1;// most methods have at least a dozen overloads
fcos() veryFastCos() ultraFastCos() CosLoop() SinLoop() sfcos() fsqrt()
fdistance() flength() log2int() fastmodinv() fexp() sfastsine() sfastcosine()
fastsine() fastcosine() anglerad() angledeg() fastangle() straightsignedangle()
preciseangle() signedangle() fastatan2() sign() abs() mod() frac() csum() cmul()
inv() neg() rcp() pow() sq() cube() pow4() pow5() sqrt() cbrt() rcbrt() rsqrt()
m2n1() add() sub() div() cycle() saturate() snap() bitwave() bitwave2()
triwave() set() Array() toColorArray() tocolorArray() tofloat4List()
tofloat3List() tofloat4Array() tofloat3Array() toVectorArray() tofloatArray()
CopyFrom() asint() asbool() asfloat() asdouble() asuint() ascolor() asColor()
asfloat4() asfloat3() cast() List() toVectorList() tofloatList() toColorList()
tocolorList() toVectorIE() tofloatIE() xx() xxx() xxxx() dim() exp() nexp()
exp2() exp10() ln() log2() log10() f4() f3() f2() append() y() z() yz() w() zw()
yzw() xyzw() xyz() xy() x() smootherstep() smoothstepcos() eerp() uneerp()
smoothstep() unlerp() lerp() lerpAngle() remap() step() arc() arch2() linstep()
sine01() smin() smax() smax_exp() smax_exp2() smax_expOP() smin_exp() smin_pow()
smin_root() smin_polynomial() smin_quadratic() smin_cubic() smin_factor()
smin_cubic_factor() smin_N_factor() mix() smoothstart() smoothstop() xfade()
easeInSine() easeOutSine() easeInOutSine() easeInQuad() easeOutQuad()
easeInOutQuad() easeInCubic() easeOutCubic() easeInOutCubic() easeInQuart()
easeOutQuart() easeInOutQuart() easeInQuint() easeOutQuint() easeInOutQuint()
easeInExpo() easeOutExpo() easeInOutExpo() easeInCirc() easeOutCirc()
easeInOutCirc() easeInBack() easeOutBack() easeInOutBack() easeInElastic()
easeOutElastic() easeInOutElastic() easeInBounce() easeOutBounce()
easeInOutBounce() smooth() smoothstepD() smooth5() smooth5D() smooth7()
smooth7D() smooth9() smooth9D() smooth11() smooth11D() smoothD() smoother7D()
any() all() select() approx() odd() even() isnan() anynan() isinf() isfinite()
greater() less() lesseq() greatereq() eq() neq() isgreatest() isshortest() get()
pingpong() SampleParabola() movetowards() repeat() smoothdamp() b4x4() b4x3()
b4x2() b3x4() b3x3() b3x2() b2x4() b2x3() b2x2() d4x4() d4x3() d4x2() d3x4()
d3x3() d3x2() d2x4() d2x3() d2x2() mul() dot() lengthsq() mult() transpose()
f4x4() f4x3() f4x2() f3x4() f3x3() f3x2() f2x4() f2x3() f2x2() i4x4() i4x3()
i4x2() i3x4() i3x3() i3x2() i2x4() i2x3() i2x2() u4x4() u4x3() u4x2() u3x4()
u3x3() u3x2() u2x4() u2x3() u2x2() init() randf() randf2() randf3() randf4()
seedrand() seedrand2() seedrand3() seedrand4() randmax() setseed() hash()
hashwide() varyrand() addrand() rand() randomint() randomInSphere()
randomInCircle() randomDir3D() randomDir2D() randomrotation() rotate()
rotateAxisAngle() rotateRad() rotateDeg() quaternion() rotateAround() round()
rint() clamp() min() max() ceil() clint() floor() flint() sat() npsat() limp()
limn() under1() cmax() cmin() acmax() acmin() sin() cos() tan() sec() cot()
csc() asin() acos() atan() atan2() acot() asec() acsc() sin2() cos2() tan2()
sec2() deg() rad() cossin() sincos() mod360() mod2PI() sinh() cosh() tanh()
sech() coth() csch() acosh() asinh() atanh() acoth() asech() acsch() norm()
normsafe() distance() distancesq() length() reflect() refract() project()
projectsafe() manhattan() minkowski() chebyshev() cross() perp() exterior()
orthonorm() cdistance() cdistancesq() ccross() cdot() hashnp01() Hash()
GradientNoise() GenerateGradient() randdir() unity_gradientNoise() hashx()
openSimplex2_ImproveXY() openSimplex2SDerivatives_ImproveXY() sdSphere() sdBox()
sdRoundBox() sdBoxFrame() sdTorus() sdCappedTorus() sdLink() sdCylinder()
sdCone() sdConeBound() sdPlane() sdHexPrism() sdTriPrism() sdCapsule()
sdVerticalCapsule() sdCappedCylinder() sdRoundedCylinder() sdCappedCone()
sdSolidAngle() sdCutSphere() sdCutHollowSphere() sdDeathStar() sdRoundCone()
sdEllipsoid() sdbEllipsoid_2() sdaEllipsoid_3() sdRhombus() sdOctahedron()
sdOctahedronBound() sdPyramid() udTriangle() udQuad() _length2() _length6()
_length8() byte1() byte2() byte3() byte4() color() gammatolinear()
lineartogama() Erf() Erfc() ErfInv() ErfcInv() GammaLn() Gamma() DiGamma()
DiGammaInv() conjugate() inverse() unitexp() unitlog() log() nlerp() slerp()
forward() matrix() float3x4() rotation() translation() transform() up() right()
scale() projectplane() apply() GetFunctionPointerDelegate()- All methods should exist in the
Unity.Mathematics.mathxclass (To prevent multiple using declarations) - All Methods should follow a lower case syntax (shader like syntax)
- All methods names should be as short as possible while conserving their meaning or naming convension
- Everything must be Open Source
- Credits should (if the author can be found) figure above code snipets or in the file header (if reusing existing code)
- file mames should follow this convention : mathx..
Example : mathx.interpolation.common (common methods for interpolation) or mathx.logix.floatx (float type related logic functions)
- File names for base types such as
boundsorbyte2should only have their type as a title : bounds.cs // byte2.cs
- File names for base types such as
- Every method should be static (if applicable)
- Dependencies should not exist if applicable
- Code must be rewritten and optimized for Unity.Mathematics, compatibility checked
- Unification is key : if some functions are already available in math or Unity.Mathematics.math (sometimes under another name), use them !
- Documentation should be inherited from Unity.Mathematics.math methods for direct extension method translations
This project is licensed under the MIT License (License)
