4-dimensional vector

2-dimensional vector

3-dimensional vector

v2 x y

Construct a 2d vector from x and y coordinates.

v3 x y z

Construct a 3d vector from x, y, and z coordinates.

v4 x y z

Construct a 4d vector from x, y, z, and w coordinates.

2-dimensional vector type, including basic mathematical/geometrical operations and transformations, allowing for points in 2d space, and higher level types composed of them (e.g. Path2.t and Poly2.t) to be manipulated.

3-dimensional vector type, including basic mathematical/geometrical operations and transformations, allowing for points in 3d space, and higher level types composed of them (e.g. Path3.t, Poly3.t, and Mesh.t) to be manipulated.

A 2d affine transformation matrix.

Affine transformation matrices for transforming 3d vectors (V3.t), and 3d shapes.

Provides functions for the creation of and operations between quaternions. These can be used to create composable and interpolatable rotations to be applied to 3d vectors (V3.t), and shapes.

Normalized cartesian plane operations facilitating conversion between 2d and 3d space.

2d path generation (including arcs and basic shapes), manipulation (including offset and roundovers (see Round), and measurement.

Generation and measurement of 2d bezier curve (and patch/surface) functions. Including of_path, which produces a bezier spline function that passes through all points of the given path.

Cubic spline interpolation of 2d paths.

2d polygons made up of an outer, and zero or more inner Path2.ts. Includes basic shape creation helpers, manipulations, (including offset and basic transformations), measurement, and validation.

3d path generation (including arcs and basic shapes), manipulation (including roundovers (see Round), and conversion to sweeping transformations with to_transforms), and measurement.

Generation and measurement of 3d bezier curve (and patch/surface) functions. Including of_path, which produces a bezier spline function that passes through all points of the given path.

Planar 3d polygons made up of an outer, and zero or more inner Path3.ts. Includes basic shape creation helpers, manipulations, (including offset and basic transformations), measurement, and validation.

Generation, and manipulation of 3-dimensional meshes (points and faces).

Various operations on floats (e.g. approximate equality, linear interpolation), and basic arbitrary size 2d matrix operations.

Cubic bezier easing.

Construction of 2d vector space partitioning ball tree structures for nearest neighbour search. Implementation adapted from the BOSL2 vectors module.

Construction of 3d vector space partitioning ball tree structures for nearest neighbour search. Implementation adapted from the BOSL2 vectors module.