@thi.ng/matrices v2.3.36
This project is part of the @thi.ng/umbrella monorepo.
About
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).
Status
STABLE - used in production
Search or submit any issues for this package
Related packages
- @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
Installation
yarn add @thi.ng/matrices
ES module import:
<script type="module" src="https://cdn.skypack.dev/@thi.ng/matrices"></script>
For Node.js REPL:
# with flag only for < v16
node --experimental-repl-await
> const matrices = await import("@thi.ng/matrices");
Package sizes (gzipped, pre-treeshake): ESM: 4.92 KB
Dependencies
Usage examples
Several demos in this repo's /examples directory are using this package.
A selection:
Screenshot | Description | Live demo | Source |
---|---|---|---|
Various hdom-canvas shape drawing examples & SVG conversion / export | 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 | |
Entity Component System w/ 100k 3D particles | Demo | Source | |
3D wireframe textmode demo | 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 |
API
Constants
IDENT22
/IDENT23
/IDENT33
/IDENT44
Matrix creation
rotation22
/rotation23
rotationAroundAxis33
/rotationAroundAxis44
rotationX33
/rotationX44
rotationY33
/rotationY44
rotationZ33
/rotationZ44
scale22
/scale23
/scale33
/scale44
scaleWithCenter23
/scaleWithCenter44
shearX22
/shearY22
shearX23
/shearY23
shearXY33
/shearXZ33
/shearYX33
/shearYZ33
/shearZX33
/shearZY33
shearXY44
/shearXZ44
/shearYX44
/shearYZ44
/shearZX44
/shearZY44
skewX22
/skewY22
skewX23
/skewY23
skewXY33
/skewXZ33
/skewYX33
/skewYZ33
/skewZX33
/skewZY33
skewXY44
/skewXZ44
/skewYX44
/skewYZ44
/skewZX44
/skewZY44
translation23
/translation44
transform23
/transform44
WebGL related
frustum
/frustumBounds
lookAt
ortho
perspective
viewport
Matrix conversion
mat22to23
mat23to22
/mat23to44
mat33to44
/mat44to33
normal44
Setters
set
/set22
/set23
/set33
/set44
identity
/identity22
/identity23
/identity33
/identity44
Row & column accessors
column
/column22
/column23
/column33
/column44
row
/row22
/row23
/row33
/row44
Componentwise matrix - matrix
add
/add22
/add23
/add33
/add44
div
/div22
/div23
/div33
/div44
mul
/mul22
/mul23
/mul33
/mul44
sub
/sub22
/sub23
/sub33
/sub44
Componentwise matrix - scalar
addN
/addN22
/addN23
/addN33
/addN44
divN
/divN22
/divN23
/divN33
/divN44
mulN
/mulN22
/mulN23
/mulN33
/mulN44
subN
/subN22
/subN23
/subN33
/subN44
Matrix multiplication
mulM
/mulM22
/mulM23
/mulM33
/mulM44
concat
Matrix - vector multiplication
mulV
/mulV22
/mulV23
/mulV33
/mulV344
/mulV44
project
unproject
Determinant & inversion
det22
/det23
/det33
/det44
det44FromCoeffs
/detCoeffs44
diag
/diag22
/diag23
/diag33
/diag44
invert
/invert22
/invert23
/invert33
/invert44
trace
Matrix transposition
transpose22
/transpose33
/transpose44
Quaternion
alignmentQuat
conjugateQ
invertQ
mixQ
mulQ
mulVQ
quatFromAxisAngle
quatFromEuler
quatToAxisAngle
quatToMat33
quatToMat44
Authors
Karsten Schmidt
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
}
License
© 2018 - 2021 Karsten Schmidt // Apache Software License 2.0
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