Module math 

Linear algebra primitives, color types, and bit-manipulation utilities.

Provides Vec2, Vec3, and Vec4 floating-point vectors with swizzle accessors, scalar-valued color types (R8U, R32F, Rg8U, Rg32F, Rgb8U, Rgb32F, Rgba8U, Rgba32F, Rgb565, Yiq32F), axis-aligned bounding regions (Region3, Rect), bit-interleaving helpers, and PCA-based axis estimation.

Structs

R8U

A single-channel 8-bit unsigned color (red).

R32F

A single-channel color represented as one f32.

Rect

An axis-aligned rectangle.

Region2

A region in 2D space defined by a points on a diagonal.

Region3

A region in 3D space defined by a points on a diagonal.

Rg8U

A two-channel 8-bit unsigned color (red, green).

Rg32F

A two-channel (red, green) color represented as 2 f32s.

Rgb8U

An RGB color with 8 bit unsigned normalized integers per channel.

Rgb32F

An RGB color represented as 3 floats.

Rgb565

An RGB color with 5,6 and 5 bits unsigned normalized integers per channel.

Rgba8U

An RGBA color with 8 bit unsigned normalized integers per channel.

Rgba32F

An RGBA color represented as 4 f32s.

Vec2

A 2D vector.

Vec3

A 3D vector.

Vec4

A 4D vector.

Yiq32F

An YIQ color represented as 3 floats.

Traits

Delta

Delta allows calculating “difference” between base and current value, and reconstructing current value from base and delta.

One

Trait to create multiplicative identity element.

Vector

Zero

Trait to create additive identity element.

Functions

compact6_3

Extracts every-third bit from a 16-bit value back into 6 bits.

compact8_2

Extracts even bit positions from a 16-bit value back into 8 bits.

compact8_3

Extracts every-third bit from a value back into 8 bits.

compact8_4

Extracts every-fourth bit from a 32-bit value back into 8 bits.

compact16_2

Extracts even bit positions from a 32-bit value back into 16 bits.

compact32_2

Extracts even bit positions from a 64-bit value back into 32 bits.

deinterleave8_2

Deinterleaves a 16-bit Morton code into two 8-bit values.

deinterleave8_3

Deinterleaves a 24-bit Morton code into three 8-bit values.

deinterleave8_4

Deinterleaves a 32-bit Morton code into four 8-bit values.

deinterleave16_2

Deinterleaves a 32-bit Morton code into two 16-bit values.

deinterleave32_2

Deinterleaves a 64-bit Morton code into two 32-bit values.

deinterleave655_3

Deinterleaves a 16-bit Morton code into three values (6, 5, 5 bits).

interleave8_2

Interleaves the bits of two 8-bit values into a 16-bit Morton code.

interleave8_3

Interleaves the bits of three 8-bit values into a 24-bit Morton code.

interleave8_4

Interleaves the bits of four 8-bit values into a 32-bit Morton code.

interleave16_2

Interleaves the bits of two 16-bit values into a 32-bit Morton code.

interleave32_2

Interleaves the bits of two 32-bit values into a 64-bit Morton code.

interleave655_3

Interleaves three values (6, 5, 5 bits) into a 16-bit Morton code.

lerp

Linearly interpolates between a and b by factor t.

max_variance_diagonal_axis2

Returns the bounding-box diagonal axis along which the given samples have the greatest variance.

max_variance_diagonal_axis3

Returns the bounding-box diagonal axis along which the given samples have the greatest variance.

pca_axis2

Estimates the principal component axis of a set of 3D points via power iteration on the covariance matrix.

pca_axis3

Estimates the principal component axis of a set of 3D points via power iteration on the covariance matrix.

round_down

Rounds value down to the nearest multiple of round.

round_up

Rounds value up to the nearest multiple of round.

spread6_3

Spreads 6 bits into every-third bit position of a 16-bit value.

spread8_2

Spreads 8 bits into even bit positions of a 16-bit value.

spread8_3

Spreads 8 bits into every-third bit position of a 24-bit value.

spread8_4

Spreads 8 bits into every-fourth bit position of a 32-bit value.

spread16_2

Spreads 16 bits into even bit positions of a 32-bit value.

spread32_2

Spreads 32 bits into even bit positions of a 64-bit value (2-way interleave building block).