Fast double-precision vector and matrix maths library for Java, supporting arbitrary
n-dimensional numerical arrays.
This library is designed for use in games, simulations, raytracers, machine learning etc. where fast vector maths is important.
Vectorz can do over 1 billion 3D vector operations per second on a single thread.
Vectorz is reasonably mature, battle tested and being used in production applications. The API is still evolving however as new features get added so you can expect a few minor changes, at least until version 1.0.0
See the Vectorz Wiki
Vector3 v=Vector3.of(1.0,2.0,3.0); v.normalise(); // normalise v to a unit vector Vector3 d=Vector3.of(10.0,0.0,0.0); d.addMultiple(v, 5.0); // d = d + (v * 5) Matrix33 m=Matrixx.createXAxisRotationMatrix(Math.PI); Vector3 rotated=m.transform(d); // rotate 180 degrees around x axis
- Supports double typed vectors of arbitrary size
- Both mutable and immutable vectors are supported, enabling high performance algorithms
- Support for any size matrices, including higher dimensional (NDArray) matrices
- Ability to create lightweight view vectors (e.g. to access subranges of other vectors)
- Library of useful mathematical functions on vectors
- Vectors have lots of utility functionality implemented - Cloneable, Serializable, Comparable etc.
- Various specialised types of vectors/matrices types (e.g. identity matrices, diagonal matrices)
- Support for affine and other matrix transformations
- Operator system provides composable operators that can be applied to array elements
- Input / output of vectors and matrices - in various formats including readable edn format
Vectorz is deigned to allow the maximum performance possible for vector maths on the JVM.
This focus has driven a number of important design decisions:
- Support for sparse vectors and other specialised array types
- Specialised primitive-backed small vectors (1,2,3 and 4 dimensions) and matrices (1x1, 2x2, 3x3 and M*3)
- Abstract base classes preferred over interfaces to allow more efficient method dispatch
- Multiple types of vector are provided for optimised performance in special cases
- Hard-coded fast paths for most common 2D and 3D operations
- Vector operations are generally not thread safe, by design
- Concrete classes are generally final
If you have a common case that isn't yet well optimised then please post an issue - the aim is to make all common operations efficient as efficient as they can possibly be on the JVM.