[!NOTE] This is one of 201 standalone projects, maintained as part of the @thi.ng/umbrella monorepo and anti-framework.
🚀 Please help me to work full-time on these projects by sponsoring me on GitHub. Thank you! ❤️
Matrix & quaternion operations for 2D/3D geometry processing.
This package provides 160+ matrix & quaternion operations for 2D/3D geometry processing and acts as companion package for @thi.ng/vectors. Like with the vectors package, most functions are defined as multi-method dispatching to optimized implementations based on matrix size (which themselves are exposed for direct use too).
Any ArrayLike
type can be used as matrix containers (e.g. JS arrays,
typed arrays, custom impls) and hence many other functions provided by
the vectors package can also be used directly with matrices (where
sensible).
STABLE - used in production
Search or submit any issues for this package
- @thi.ng/color - Array-based color types, CSS parsing, conversions, transformations, declarative theme generation, gradients, presets
- @thi.ng/geom - Functional, polymorphic API for 2D geometry types & SVG generation
- @thi.ng/vector-pools - Data structures for managing & working with strided, memory mapped vectors
- @thi.ng/vectors - Optimized 2d/3d/4d and arbitrary length vector operations, support for memory mapping/layouts
yarn add @thi.ng/matrices
ESM import:
import * as mat from "@thi.ng/matrices";
Browser ESM import:
<script type="module" src="https://esm.run/@thi.ng/matrices"></script>
For Node.js REPL:
const mat = await import("@thi.ng/matrices");
Package sizes (brotli'd, pre-treeshake): ESM: 5.06 KB
Note: @thi.ng/api is in most cases a type-only import (not used at runtime)
17 projects in this repo's /examples directory are using this package:
Screenshot | Description | Live demo | Source |
---|---|---|---|
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(Re)Constructing the thi.ng logo using a 2D signed-distance field | Demo | Source |
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Augmenting thi.ng/geom shapes for WebGL, using instancing & attribute buffers | Demo | Source |
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Converting thi.ng/geom shape types for WebGL | Demo | Source |
![]() |
Various hdom-canvas shape drawing examples & SVG conversion / export | Demo | Source |
![]() |
Barnsley fern IFS fractal renderer | Demo | Source |
![]() |
Live coding playground for 2D geometry generation using @thi.ng/pointfree-lang | Demo | Source |
![]() |
2D scenegraph & shape picking | Demo | Source |
![]() |
2D scenegraph & image map based geometry manipulation | Demo | Source |
![]() |
Minimal shader graph developed during livestream #2 | Demo | Source |
![]() |
Fitting, transforming & plotting 10k data points per frame using SIMD | Demo | Source |
![]() |
Entity Component System w/ 100k 3D particles | Demo | Source |
![]() |
3D wireframe textmode demo | Demo | Source |
![]() |
Visual comparison of biased vs. unbiased normal vectors projected on the surface of a sphere | Demo | Source |
![]() |
WebGL multi-colored cube mesh | Demo | Source |
![]() |
WebGL cube maps with async texture loading | Demo | Source |
![]() |
WebGL instancing, animated grid | Demo | Source |
![]() |
WebGL MSDF text rendering & particle system | Demo | Source |
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IDENT22
/IDENT23
/IDENT33
/IDENT44
-
fit23
/fit44
-
rotation22
/rotation23
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rotationAroundAxis33
/rotationAroundAxis44
rotationAroundPoint23
-
rotationX33
/rotationX44
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rotationY33
/rotationY44
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rotationZ33
/rotationZ44
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scale22
/scale23
/scale33
/scale44
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scaleWithCenter23
/scaleWithCenter44
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shearX22
/shearY22
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shearX23
/shearY23
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shearXY33
/shearXZ33
/shearYX33
/shearYZ33
/shearZX33
/shearZY33
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shearXY44
/shearXZ44
/shearYX44
/shearYZ44
/shearZX44
/shearZY44
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skewX22
/skewY22
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skewX23
/skewY23
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skewXY33
/skewXZ33
/skewYX33
/skewYZ33
/skewZX33
/skewZY33
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skewXY44
/skewXZ44
/skewYX44
/skewYZ44
/skewZX44
/skewZY44
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translation23
/translation44
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transform23
/transform44
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frustum
/frustumBounds
lookAt
ortho
perspective
viewport
mat22to23
-
mat23to22
/mat23to44
-
mat33to44
/mat44to33
normal44
-
set
/set22
/set23
/set33
/set44
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identity
/identity22
/identity23
/identity33
/identity44
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column
/column22
/column23
/column33
/column44
-
row
/row22
/row23
/row33
/row44
-
add
/add22
/add23
/add33
/add44
-
div
/div22
/div23
/div33
/div44
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mul
/mul22
/mul23
/mul33
/mul44
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sub
/sub22
/sub23
/sub33
/sub44
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addN
/addN22
/addN23
/addN33
/addN44
-
divN
/divN22
/divN23
/divN33
/divN44
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mulN
/mulN22
/mulN23
/mulN33
/mulN44
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subN
/subN22
/subN23
/subN33
/subN44
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mulM
/mulM22
/mulM23
/mulM33
/mulM44
concat
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mulV
/mulV22
/mulV23
/mulV33
/mulV344
/mulV44
project
unproject
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det22
/det23
/det33
/det44
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det44FromCoeffs
/detCoeffs44
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diag
/diag22
/diag23
/diag33
/diag44
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invert
/invert22
/invert23
/invert33
/invert44
trace
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transpose22
/transpose33
/transpose44
alignmentQuat
conjugateQ
invertQ
mixQ
mulQ
mulVQ
quatFromAxisAngle
quatFromEuler
quatToAxisAngle
quatToMat33
quatToMat44
If this project contributes to an academic publication, please cite it as:
@misc{thing-matrices,
title = "@thi.ng/matrices",
author = "Karsten Schmidt",
note = "https://thi.ng/matrices",
year = 2018
}
© 2018 - 2025 Karsten Schmidt // Apache License 2.0