Expand description
Affine, convex, and combinatorial spaces
Modules§
- integer
- Primitives over signed integers Integer Interval and Aabb primitives.
- simplex2
- 2D simplex types
- simplex3
- 3D simplex types
Structs§
- Aabb2
- 2D axis-aligned bounding box.
- Aabb3
- 3D axis-aligned bounding box.
- Capsule3
- 3D Z-axis-aligned capsule
- Cone3
- 3D Z-axis-aligned cone
- Cylinder3
- 3D Z-axis-aligned cylinder
- Hull2
- 2D convex hull
- Hull3
- 3D convex hull
- Interval
- 1D interval. Points are allowed to be equal.
- Line2
- An infinitely extended line in 2D space defined by a base point and normalized direction
- Line3
- An infinitely extended line in 3D space defined by a base point and normalized direction
- Obb2
- 2D oriented bounding box
- Obb3
- 3D oriented bounding box
- Plane3
- A plane in 3D space defined by a base point and (unit) normal vector
- Ray2
- An infinitely extended ray in 2D space defined by a base point and normalized direction
- Ray3
- An infinitely extended ray in 3D space defined by a base point and normalized direction
- Segment2
- A 1-simplex or line segment in 2D space.
- Segment3
- A 1-simplex or line segment in 3D space.
- Sphere2
- Sphere in 2D space (a circle)
- Sphere3
- Sphere in 3D space
- Tetrahedron3
- A 3-simplex or tetrahedron in 3D space
- Triangle2
- A 2-simplex or triangle in 2D space
- Triangle3
- A 2-simplex or triangle in 3D space
Enums§
Traits§
- Primitive
- Geometric primitives generic over dimension
Functions§
- colinear_
2d - Returns true when three points lie on the same line in 2D space.
- colinear_
2d_ epsilon - colinear_
3d - Returns true when three points lie on the same line in 3D space.
- colinear_
3d_ epsilon - coplanar_
3d - Returns true when four points lie on the same plane in 3D space.
- coplanar_
3d_ epsilon - determinant_
3d - Computes the determinant of a matrix formed by the three points as columns
- orthonormal_
basis - Create an orthonormal basis given the first basis component
- plane_
side_ 3d - Return a signum indicating which side of the triangle ABC that point D lies on, where +1 indicates that D lies on the side that the normal $(B - A) \times (C - A)$ points to, -1 if D lies on the opposite side, and 0 if D lies on the plane ABC, within tolerance
- plane_
side_ 3d_ epsilon - point2_
max - Coordinate-wise max
- point2_
min - Coordinate-wise min
- point3_
max - Coordinate-wise max
- point3_
min - Coordinate-wise min
- project_
2d_ point_ on_ line - Given a 2D point and a 2D line, returns the nearest point on the line to the given point
- project_
3d_ point_ on_ line - Given a 3D point and a 3D line, returns the nearest point on the line to the given point
- project_
3d_ point_ on_ plane - Given a 3D point and a 3D plane, returns the nearest point on the plane to the given point
- support2
- Returns point furthest along given direction together with dot product with the direction vector
- support3
- Returns point furthest along given direction together with dot product with the direction vector
- triangle_
3d_ area_ squared - Square area of three points in 3D space.
Type Aliases§
- Line2
Point - A parameterized point on a 2D line
- Line3
Point - A parameterized point on a 3D line
- Ray2
Point - A parameterized point on a 2D ray
- Ray3
Point - A parameterized point on a 3D ray
- Segment2
Point - Parameterized point on a 2D segment
- Segment3
Point - Parameterized point on a 3D segment
- Tetrahedron3
Point - Parameterized point on a 3D tetrahedron
- Triangle2
Point - Parameterized point on a 2D triangle
- Triangle3
Point - Parameterized point on a 3D triangle