Low Level Math Library (LLML)

Implementation of basic math data types with high level frontend and low level backend

Supported targets

LLML is currently supported on x86/x86_64 and ARM/aarch64, with plans for WASM support and a naive implementation, available for all targets, in the future.

Instruction set support

As of today, LLML supports up to SSE3 for x86/x86_64, and Neon for ARM/aarch64. Support for AVX and AVX2 is expected in the near future, as an optional feature.

Currently implemented

Complex numbers for f32 and f64

• Basic arithmetic (Addition, Subtraction, Negation, Multiplication, Division)
• Complex arithmetic (Multiplication and Division)
• Inverse and Conjugate
• Radius, Angle & Polar coordinates
• Square root, Exponential and Natural Logarithm
• Sine, Cosine and Tangent
• Power of integer, decimal & complex
• Exponential of imaginary (expi)
• Complex square root of real (sqrtc)
• Power by complex (powc) and power by imaginary (powci)

Euclidian vectors of 2, 3 & 4 values for f32 and f64

• Basic arithmetic (Addition, Subtraction, Negation, Multiplication & Division)
• Summation (sum), norm and unit vector
• Dot product (dot) and cross product (cross)
• Square root (sqrt) and fast square root (sqrt_fast, only faster in f32 x86/and x86_64)
• Absolute value

Matrices of 2x2 & 3x3 for f32 and f64

• Scalar arithmetic (Addition, Subtraction, Negation, Multiplication, Division)
• Matrix arithmetic (Matrix-Matrix and Matrix-Vector multiplication)
• Trace (tr) and determinant (det)
• Safe (inv) and unsafe (inv_unsafe) inverse
• Transpose (transp)
• Rotation matrix

Current features

llml_rand

Implements random generation for all of the crate's data types with rand

llml_serde

Implements serialization and deserialization for all of the crate's data types with serde