Module math

Various methods for computing with vectors.

Functions

abs_transform

Transforms from normalized to absolute coordinates.

add

Adds two vectors.

area

Computes area of a simple polygon.

area_centroid

Computes the area and centroid of a simple polygon.

cast

Converts to another vector type.

centroid

Computes centroid of a simple polygon.

cross

Computes the cross product.

dot

Computes the dot product.

from_barycentric

Transforms from barycentric coordinates to cartesian.

get_scale

Extract scale information from matrix.

hsv

Transform color with hue, saturation and value.

identity

Create an identity matrix.

inside_triangle

Returns true if point is inside triangle.

invert

Computes the inverse of a 2x3 matrix.

least_separation_4

Returns the least separation out of four. Each seperation can be computed using separation function. The separation returned can be used to solve collision of rectangles.

line_side

Returns a number that tells which side it is relative to a line.

margin_rectangle

Shrinks a rectangle by a factor on all sides.

modular_offset

Computes modular offset safely for numbers.

mul

Multiplies two vectors component wise.

mul_scalar

Multiplies the vector with a scalar.

multiply

Multiplies two matrices.

orient

Orients x axis to look at point.

overlap_rectangle

Computes overlap between two rectangles. The area of the overlapping rectangle is positive. A shared edge or corner is not considered overlap.

perp

Creates a perpendicular vector.

relative_rectangle

Computes a relative rectangle using the rectangle as a tile.

relative_source_rectangle

Computes a relative source rectangle using the source rectangle as a tile.

rotate_radians

Creates a rotation matrix.

scale

Create a scale matrix.

separation

Compute the shortest vector from point to ray. A ray stores starting point and directional vector.

shear

Create a shear matrix.

square_len

Computes the square length of a vector.

sub

Subtracts ‘b’ from ‘a’.

to_barycentric

Transforms from cartesian coordinates to barycentric.

transform_pos

Transforms a 2D position through matrix.

transform_vec

Transforms a 2D vector through matrix.

translate

Creates a translation matrix.

triangle_face

Returns true if triangle is clockwise.

Type Aliases

Matrix2d

The type used for matrices.

Scalar

The type used for scalars.

Vec2d

The type used for 2D vectors.

Vec3d

The type used for 3D vectors.