math::linalg

math::linalg

The linalg module provides vector operations on plain Array<number> values: dot/cross products, norms, normalization, distance, and element-wise arithmetic.

Import

use std::math::linalg

Functions

linalg::dot(a, b) -> number

Dot product of two vectors of equal length.

linalg::dot([1, 2, 3], [4, 5, 6])   // 32

linalg::cross(a, b) -> Array<number>

Cross product of two 3D vectors.

linalg::cross([1, 0, 0], [0, 1, 0])  // [0, 0, 1]

linalg::norm(v) -> number

Euclidean (L2) length of a vector.

linalg::norm([3, 4])    // 5

linalg::normalize(v) -> Array<number>

Scale a vector to unit length. Returns the input unchanged when its norm is zero.

linalg::normalize([3, 4])    // [0.6, 0.8]

linalg::distance(a, b) -> number

Euclidean distance between two vectors.

linalg::distance([0, 0], [3, 4])    // 5

linalg::scale(v, s) -> Array<number>

Multiply every element of v by scalar s.

linalg::scale([1, 2, 3], 2)    // [2, 4, 6]

linalg::add(a, b) -> Array<number>

Element-wise addition.

linalg::add([1, 2], [3, 4])    // [4, 6]

linalg::sub(a, b) -> Array<number>

Element-wise subtraction (a - b).

linalg::sub([3, 4], [1, 2])    // [2, 2]

See Also

• math::rotation — 3D rotation math
• math::interpolation — bilinear/trilinear interpolation