Namespace for signed distance functions (SDFs) and related operations. More...

Classes
struct	Bend
	Bend operation around the z axis. More...

struct	BinaryNode
	Base struct for all binary nodes. More...

struct	Box
	Axis-aligned box centered in \( (0,0,0) \) with half extents \( \text{he} \in \mathbb{R}^3 \). More...

struct	BoxFrame
	Box frame with half extents \( \text{he} \in \mathbb{R}^3 \) and thickness \( t \). More...

struct	Bump
	Wave-like bumpiness operation along the axes. More...

struct	CappedCylinder
	Capped cylinder shape with endpoints \( a, b \in \mathbb{R}^3 \) and radius \( r \). More...

struct	CappedTorus
	Capped torus centered in \( (0,0,0) \) with parameters `sc, ra, rb`. More...

struct	Capsule
	Capsule shape with endpoints \( a, b \in \mathbb{R}^3 \) and radius \( r \). More...

struct	Composite
	Composite signed distance function represented as a forest of SDFs. More...

struct	Cone
	Cone shape. More...

struct	CutHollowSphere
	Cut hollow sphere shape with radius \( r \), cut height \( h \) and thickness \( t \). More...

struct	Difference
	Difference operation. More...

struct	Elongate
	Elongation operation along the axes. More...

struct	ExclusiveOr
	Exclusive or operation. More...

struct	Forest
	CPU storage for a forest (of SDFs). More...

struct	HexagonalPrism
	Hexagonal prism shape. More...

struct	InfiniteCone
	Infinite cone shape. More...

struct	InfiniteCylinder
	Infinite cylinder. More...

struct	Intersection
	Intersection operation. More...

struct	Link
	Link shape as elongated torus with elongation length \( le \) and minor+major radius \(t = (r,R) \). More...

struct	Octahedron
	Octahedron shape. More...

struct	Onion
	Onion operation (i.e. carving interior) More...

struct	Plane
	Plane shape with normal \( n=(0,0,1) \) and point on the plane \( o=(0,0,0) \). More...

struct	Primitive
	Base struct for all primitive shapes. More...

struct	Pyramid
	Pyramid shape. More...

struct	Quadrilateral
	Quadrilateral shape with vertices \( a, b, c, d \in \mathbb{R}^3 \). More...

struct	Repeat
	Grid-like repetition operation along the axes. More...

struct	RotationalRepeat
	Circular repetition operation around axe. More...

struct	Round
	Rounding operation (i.e. positive offset surface) More...

struct	RoundedCylinder
	Rounded cylinder shape with height \( h \), radius \( \text{ra} \) and rounding radius \( \text{rb} \). More...

struct	Scale
	Uniform scaling operation. More...

struct	SmoothDifference
	Smooth difference operation. More...

struct	SmoothIntersection
	Smooth intersection operation. More...

struct	SmoothUnion
	Smooth union operation. More...

struct	Sphere
	Sphere centered in \( (0,0,0) \) with radius \( R \). More...

struct	Symmetrize
	Symmetrization operation along the x axis. More...

struct	Torus
	Torus centered in \( (0,0,0) \) with minor+major radius \( t = (r,R) \). More...

struct	Transform
	A 3D rigid transform. More...

struct	Triangle
	Triangle shape. More...

struct	Twist
	Twist operation around the y axis. More...

struct	UnaryNode
	Base struct for all unary nodes. More...

struct	Union
	Union operation. More...

struct	VerticalCappedCone
	Capped cone shape with height \( h \) and minor+major radius \( r^1, r^2 \). More...

struct	VerticalCappedCylinder
	Vertical capped cylinder shape with height \( h \) and radius \( r \). More...

struct	VerticalCapsule
	Capsule shape with height \( h \) and radius \( r \). More...

struct	VerticalRoundCone
	Vertical round cone shape with height \( h \), radii \( \text{r}^1, \text{r}^2 \) at endpoints. More...

Typedefs
template<common::CArithmetic TScalar>
using	Node
	Variant type representing a node in the composite SDF forest.

template<common::CArithmetic TScalar>
using	Vec2 = math::linalg::mini::SVector<TScalar, 2>
	2D vector type

template<common::CArithmetic TScalar>
using	Vec3 = math::linalg::mini::SVector<TScalar, 3>
	3D vector type

template<common::CArithmetic TScalar>
using	Vec4 = math::linalg::mini::SVector<TScalar, 4>
	4D vector type

template<common::CArithmetic TScalar>
using	Mat2 = math::linalg::mini::SMatrix<TScalar, 2, 2>
	2x2 matrix type

template<common::CArithmetic TScalar>
using	Mat3 = math::linalg::mini::SMatrix<TScalar, 3, 3>
	3x3 matrix type

template<common::CArithmetic TScalar>
using	Zero2 = math::linalg::mini::Zeros<TScalar, 2, 1>
	2D zero vector type

template<common::CArithmetic TScalar>
using	Zero3 = math::linalg::mini::Zeros<TScalar, 3, 1>
	3D zero vector type

Enumerations
enum class	ECompositeStatus { Valid , InvalidForest , UnexpectedNodeType }
	Status of the composite SDF. More...

Functions
auto	FindRootsAndParents (std::span< std::pair< int, int > const > children) -> std::pair< std::vector< int >, std::vector< int > >
	Find the roots and parents of a composite SDF forest given its children.

template<common::CArithmetic TScalar>
TScalar	sign (TScalar x)
	Sign function, i.e. \( \text{sign}(x) = +1 \text{ if } x > 0, -1 \text{ if } x < 0, 0 \text{ if } x = 0 \).

Detailed Description

Namespace for signed distance functions (SDFs) and related operations.

Enumeration Type Documentation

◆ ECompositeStatus

enum class pbat::geometry::sdf::ECompositeStatus

strong

Status of the composite SDF.

Enumerator
Valid	The composite SDF can be evaluated.
InvalidForest	The SDF forest topology is invalid (wrong children/ancestor relations)
UnexpectedNodeType	An unexpected node type was encountered.

Function Documentation

◆ FindRootsAndParents()

PBAT_API auto pbat::geometry::sdf::FindRootsAndParents ( std::span< std::pair< int, int > const > children ) -> std::pair< std::vector< int >, std::vector< int > >

Find the roots and parents of a composite SDF forest given its children.

Parameters

children |# nodes| children pairs (ci, cj) of each node, such that c* < 0 if no child

Returns: (roots, parents) where roots is a vector of root node indices in the forest and parents is a vector of parent node indices, such that parents[n] = -1 if n is a root

◆ sign()

template<common::CArithmetic TScalar>

TScalar pbat::geometry::sdf::sign ( TScalar x )

Sign function, i.e. \( \text{sign}(x) = +1 \text{ if } x > 0, -1 \text{ if } x < 0, 0 \text{ if } x = 0 \).

Template Parameters

TScalar Scalar type

Parameters

x	Input value

Returns: Sign of x

Classes

Typedefs