Module graphics::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 Definitions

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.