ParaShape Function Registry

39 functions — 4 Point · 9 Vector · 4 Plane · 5 Axis · 8 Curve · 5 Surface · 4 Face

Pure-math computations exposed inside expressions via PascalCase namespaces.

Filter functions

Namespace:

#	namespace	method	Args (name : type)	returns	Description
1	Point	distance	frompoint \| pointEntity topoint \| pointEntity	number	Euclidean distance between two points.
2	Point	midpoint	frompoint \| pointEntity topoint \| pointEntity	point	Midpoint between two points.
3	Point	interpolate	frompoint \| pointEntity topoint \| pointEntity fractionnumber	point	Linear interpolation from→to at fraction.
4	Point	translate	pointpoint \| pointEntity offsetvector	point	Translate a point by an offset vector.
5	Vector	length	vectorvector	number	Magnitude (length) of a vector.
6	Vector	normalize	vectorvector	vector	Unit vector in the same direction (zero → [0,0,0]).
7	Vector	dot	leftvector rightvector	number	Dot product.
8	Vector	cross	leftvector rightvector	vector	Cross product (right-hand rule).
9	Vector	angle	fromvector tovector	angle	Angle between two vectors, in degrees.
10	Vector	add	leftvector rightvector	vector	Add two vectors.
11	Vector	subtract	leftvector rightvector	vector	Subtract right from left.
12	Vector	scale	vectorvector factornumber	vector	Scale a vector by a scalar.
13	Vector	between	frompoint \| pointEntity topoint \| pointEntity	vector	Vector from one point to another (to − from).
14	Plane	fromPointNormal	pointpoint \| pointEntity normalvector	plane	Plane {point,normal} through a point with the given normal.
15	Plane	point	planeplane	point	The point on the plane (as passed to fromPointNormal).
16	Plane	normal	planeplane	vector	The plane's unit normal.
17	Plane	distance	planeplane querypoint \| pointEntity	number	Signed distance from the plane to a point (+ = normal side).
18	Axis	fromPointDirection	originpoint \| pointEntity directionvector	axis	Directed half-line from origin along a unit direction.
19	Axis	fromTwoPoints	frompoint \| pointEntity topoint \| pointEntity	axis	Axis from one point through another (direction normalized).
20	Axis	origin	axisaxis	point	The axis's origin point.
21	Axis	direction	axisaxis	vector	The axis's unit direction.
22	Axis	pointAt	axisaxis distancelength	point	Point on the axis at a distance from the origin.
23	Curve	length	curvecurveEntity	number	Arc length of the curve.
24	Curve	closestPoint	curvecurveEntity pointpoint \| pointEntity	point	Closest point on the curve to a point.
25	Curve	pointAt	curvecurveEntity parameternumber	point	Point on the curve at parameter 0..1.
26	Curve	tangentAt	curvecurveEntity parameternumber	vector	Tangent vector at parameter 0..1.
27	Curve	pointAtLength	curvecurveEntity distancelength	point	Point at an arc-length distance from the start.
28	Curve	startPoint	curvecurveEntity	point	Start point of the curve.
29	Curve	endPoint	curvecurveEntity	point	End point of the curve.
30	Curve	divide	curvecurveEntity countnumber	point[]	count+1 evenly-spaced points along the curve (parameter 0..1).
31	Surface	pointAt	surfacesurface unumber vnumber	point	Point on the surface at parameters (u, v) ∈ [0,1]².
32	Surface	normalAt	surfacesurface unumber vnumber	vector	Unit surface normal at (u, v).
33	Surface	curvature	surfacesurface unumber vnumber	number	Mean curvature of the surface at (u, v).
34	Surface	area	surfacesurface	number	Total surface area.
35	Surface	isocurve	surfacesurface parameternumber directionstring	curve	Isocurve at parameter in the given direction ('u' \| 'v').
36	Face	area	faceface \| faceEntity	number	Area of the face (outer loop minus holes).
37	Face	normal	faceface \| faceEntity	vector	Unit outward normal of the face's plane.
38	Face	centroid	faceface \| faceEntity	point	Centroid of the face's outer loop vertices.
39	Face	contains	faceface \| faceEntity pointpoint \| pointEntity	binary	True if the point lies inside the face (within outer loop, outside holes).