AutoOpenPnt (Euclid)

AutoOpenPnt Module

Namespace: Euclid
Assembly: Euclid.dll

When Euclid is opened this module will be auto-opened. It only contains extension members for type Pnt.

Type extensions

Type extension	Description
`this.Angle2PiInXYTo` Full Usage: `this.Angle2PiInXYTo` Parameters: o : `Pnt` Returns: `float` Modifiers: inline	Returns the angle in Radians from this point to another point projected in X-Y plane. 0.0 = Xaxis, going Counter-Clockwise till two Pi. Extended Type: `Pnt` o : `Pnt` Returns: `float`
`this.Angle360InXYTo` Full Usage: `this.Angle360InXYTo` Parameters: o : `Pnt` Returns: `float` Modifiers: inline	Returns the angle in Degrees from this point to another point projected in X-Y plane. 0.0 = Xaxis, going Counter-Clockwise till 360. Extended Type: `Pnt` o : `Pnt` Returns: `float`
`this.AsPt` Full Usage: `this.AsPt` Parameters: () : `unit` Returns: `Pt` Modifiers: inline	Returns the 3D point as 2D point. Extended Type: `Pnt` () : `unit` Returns: `Pt`
`this.AsVec` Full Usage: `this.AsVec` Parameters: () : `unit` Returns: `Vec` Modifiers: inline	Returns the 3D point as 3D vector. Extended Type: `Pnt` () : `unit` Returns: `Vec`
`this.ClosestPointOnLine` Full Usage: `this.ClosestPointOnLine` Parameters: ln : `Line3D` Returns: `Pnt` Modifiers: inline	Returns the closest point on a finite line segment to test point. The line segment is given as a Line3D `ln`. Fails if the line is degenerate (zero-length). Extended Type: `Pnt` ln : `Line3D` Returns: `Pnt`
`this.DirectionDiamondInXYTo` Full Usage: `this.DirectionDiamondInXYTo` Parameters: o : `Pnt` Returns: `float` Modifiers: inline	Returns the Diamond Angle from this point to another point projected in X-Y plane. The diamond angle is always positive and in the range of 0.0 to 4.0 (for 360 Degrees) 0.0 = Xaxis, going Counter-Clockwise. Ignoring Z component. This is the fastest angle computation since it does not use Math.Cos or Math.Sin. It is useful for radial sorting. Extended Type: `Pnt` o : `Pnt` Returns: `float`
`this.DistanceFromOrigin` Full Usage: `this.DistanceFromOrigin` Parameters: () : `unit` Returns: `float` Modifiers: inline	Returns the distance from Origin (0, 0, 0) Extended Type: `Pnt` () : `unit` Returns: `float`
`this.DistanceInXYFromOrigin` Full Usage: `this.DistanceInXYFromOrigin` Parameters: () : `unit` Returns: `float` Modifiers: inline	Returns the projected distance from Origin (0, 0, 0). Ignoring the Z component. Extended Type: `Pnt` () : `unit` Returns: `float`
`this.DistanceInXYFromOriginSquare` Full Usage: `this.DistanceInXYFromOriginSquare` Parameters: () : `unit` Returns: `float` Modifiers: inline	Returns the projected squared distance from Origin (0, 0, 0). Ignoring the Z component. Extended Type: `Pnt` () : `unit` Returns: `float`
`this.DistanceTo` Full Usage: `this.DistanceTo` Parameters: b : `Pnt` Returns: `float` Modifiers: inline	Returns the distance between two 3D points. Extended Type: `Pnt` b : `Pnt` Returns: `float`
`this.DistanceToLine` Full Usage: `this.DistanceToLine` Parameters: ln : `Line3D` Returns: `float` Modifiers: inline	Returns the distance between point and finite line segment. The line segment is given as a Line3D `ln`. Extended Type: `Pnt` ln : `Line3D` Returns: `float`
`this.DistanceToXYZ` Full Usage: `this.DistanceToXYZ` Parameters: x : `float` y : `float` z : `float` Returns: `float` Modifiers: inline	Returns the distance between a 3D point and given x, y, z coordinates. Extended Type: `Pnt` x : `float` y : `float` z : `float` Returns: `float`
`this.IsAlmostOrigin` Full Usage: `this.IsAlmostOrigin` Parameters: tol : `float` Returns: `bool` Modifiers: inline	Returns a boolean indicating whether the absolute value of X, Y and Z is each less than the given tolerance. Extended Type: `Pnt` tol : `float` Returns: `bool`
`this.IsInValid` Full Usage: `this.IsInValid` Parameters: () : `unit` Returns: `bool` Modifiers: inline	Returns a boolean indicating whether X, Y or Z is NaN or Infinity. Extended Type: `Pnt` () : `unit` Returns: `bool`
`this.IsNotOrigin` Full Usage: `this.IsNotOrigin` Parameters: () : `unit` Returns: `bool` Modifiers: inline	Returns a boolean indicating if any of X, Y and Z is not exactly 0.0. Extended Type: `Pnt` () : `unit` Returns: `bool`
`this.IsOrigin` Full Usage: `this.IsOrigin` Parameters: () : `unit` Returns: `bool` Modifiers: inline	Returns a boolean indicating whether X, Y and Z are exactly 0.0. Extended Type: `Pnt` () : `unit` Returns: `bool`
`this.IsValid` Full Usage: `this.IsValid` Parameters: () : `unit` Returns: `bool` Modifiers: inline	Returns a boolean indicating whether X, Y and Z are valid (not NaN or Infinity). Extended Type: `Pnt` () : `unit` Returns: `bool`
`this.SqDistanceFromOrigin` Full Usage: `this.SqDistanceFromOrigin` Parameters: () : `unit` Returns: `float` Modifiers: inline	Returns the squared distance from Origin (0, 0, 0) Extended Type: `Pnt` () : `unit` Returns: `float`
`this.SqDistanceTo` Full Usage: `this.SqDistanceTo` Parameters: b : `Pnt` Returns: `float` Modifiers: inline	Returns the squared distance between two 3D points. This operation is slightly faster than the distance function, and sufficient for many algorithms like finding closest points. Extended Type: `Pnt` b : `Pnt` Returns: `float`
`this.SqDistanceToLine` Full Usage: `this.SqDistanceToLine` Parameters: ln : `Line3D` Returns: `float` Modifiers: inline	Returns the squared distance between point and finite line segment. The line segment is given as a Line3D `ln`. Extended Type: `Pnt` ln : `Line3D` Returns: `float`
`this.SqDistanceToXYZ` Full Usage: `this.SqDistanceToXYZ` Parameters: x : `float` y : `float` z : `float` Returns: `float` Modifiers: inline	Returns the squared distance between a 3D point and given x, y, z coordinates. Extended Type: `Pnt` x : `float` y : `float` z : `float` Returns: `float`
`this.Transform` Full Usage: `this.Transform` Parameters: m : `Matrix` Returns: `Pnt` Modifiers: inline	Multiplies (or applies) a Matrix to a 3D point (with an implicit 1 in the 4th dimension, so that it also works correctly for projections.) Extended Type: `Pnt` m : `Matrix` Returns: `Pnt`
`this.TransformRigid` Full Usage: `this.TransformRigid` Parameters: m : `RigidMatrix` Returns: `Pnt` Modifiers: inline	Multiplies (or applies) a RigidMatrix to a 3D point. Extended Type: `Pnt` m : `RigidMatrix` Returns: `Pnt`
`this.TransformRigidRotateOnly` Full Usage: `this.TransformRigidRotateOnly` Parameters: m : `RigidMatrix` Returns: `Pnt` Modifiers: inline	Multiplies (or applies) only the 3x3 rotation part of a RigidMatrix to a 3D point. Extended Type: `Pnt` m : `RigidMatrix` Returns: `Pnt`
`this.WithDistanceFromOrigin` Full Usage: `this.WithDistanceFromOrigin` Parameters: l : `float` Returns: `Pnt` Modifiers: inline	Returns new 3D point with given distance from Origin by scaling it up or down. Extended Type: `Pnt` l : `float` Returns: `Pnt`
`this.WithX` Full Usage: `this.WithX` Parameters: x : `float` Returns: `Pnt` Modifiers: inline	Returns new 3D point with new X coordinate, Y and Z stay the same. Extended Type: `Pnt` x : `float` Returns: `Pnt`
`this.WithY` Full Usage: `this.WithY` Parameters: y : `float` Returns: `Pnt` Modifiers: inline	Returns a new 3D point with new Y coordinate, X and Z stay the same. Extended Type: `Pnt` y : `float` Returns: `Pnt`
`this.WithZ` Full Usage: `this.WithZ` Parameters: z : `float` Returns: `Pnt` Modifiers: inline	Returns a new 3D point with new Z coordinate, X and Y stay the same. Extended Type: `Pnt` z : `float` Returns: `Pnt`
`Pnt.add a b` Full Usage: `Pnt.add a b` Parameters: a : `Pnt` b : `Pnt` Returns: `Pnt` Modifiers: inline	Adds two 3D points and return new 3D point. Extended Type: `Pnt` a : `Pnt` b : `Pnt` Returns: `Pnt`
`Pnt.addVec v a` Full Usage: `Pnt.addVec v a` Parameters: v : `Vec` a : `Pnt` Returns: `Pnt` Modifiers: inline	Add a 3D point to a 3D vector and return new 3D point. Extended Type: `Pnt` v : `Vec` a : `Pnt` Returns: `Pnt`
`Pnt.angle180Pts (ptPrev, ptThis, ptNext)` Full Usage: `Pnt.angle180Pts (ptPrev, ptThis, ptNext)` Parameters: ptPrev : `Pnt` ptThis : `Pnt` ptNext : `Pnt` Returns: `float` Modifiers: inline	Returns angle between three 3D Points in Degrees. Range 0.0 to 180 Extended Type: `Pnt` ptPrev : `Pnt` ptThis : `Pnt` ptNext : `Pnt` Returns: `float`
`Pnt.angle2PiInXYTo (fromPt, toPt)` Full Usage: `Pnt.angle2PiInXYTo (fromPt, toPt)` Parameters: fromPt : `Pnt` toPt : `Pnt` Returns: `float` Modifiers: inline	Returns the angle in Radians from 'fromPt' to 'toPt' projected in X-Y plane. 0.0 = Xaxis, going Counter-Clockwise till two Pi. Extended Type: `Pnt` fromPt : `Pnt` toPt : `Pnt` Returns: `float`
`Pnt.angle360InXYTo (fromPt, toPt)` Full Usage: `Pnt.angle360InXYTo (fromPt, toPt)` Parameters: fromPt : `Pnt` toPt : `Pnt` Returns: `float` Modifiers: inline	Returns the angle in Degrees from 'fromPt' to 'toPt' projected in X-Y plane. 0.0 = Xaxis, going Counter-Clockwise till 360. Extended Type: `Pnt` fromPt : `Pnt` toPt : `Pnt` Returns: `float`
`Pnt.angleInCorner (prevPt, thisPt, nextPt)` Full Usage: `Pnt.angleInCorner (prevPt, thisPt, nextPt)` Parameters: prevPt : `Pnt` thisPt : `Pnt` nextPt : `Pnt` Returns: `float`	Returns angle in Degrees at mid point (thisPt). Extended Type: `Pnt` prevPt : `Pnt` thisPt : `Pnt` nextPt : `Pnt` Returns: `float`
`Pnt.anglePiPts (ptPrev, ptThis, ptNext)` Full Usage: `Pnt.anglePiPts (ptPrev, ptThis, ptNext)` Parameters: ptPrev : `Pnt` ptThis : `Pnt` ptNext : `Pnt` Returns: `float` Modifiers: inline	Returns angle between three 3D Points in Radians. Range 0.0 to Pi. Extended Type: `Pnt` ptPrev : `Pnt` ptThis : `Pnt` ptNext : `Pnt` Returns: `float`
`Pnt.asPt pt` Full Usage: `Pnt.asPt pt` Parameters: pt : `Pnt` Returns: `Pt` Modifiers: inline	Returns the 3D point as 2D point. Extended Type: `Pnt` pt : `Pnt` Returns: `Pt`
`Pnt.asVec pt` Full Usage: `Pnt.asVec pt` Parameters: pt : `Pnt` Returns: `Vec` Modifiers: inline	Returns the 3D point as 3D vector. Extended Type: `Pnt` pt : `Pnt` Returns: `Vec`
`Pnt.bisector (ptPrev, ptThis, ptNext)` Full Usage: `Pnt.bisector (ptPrev, ptThis, ptNext)` Parameters: ptPrev : `Pnt` ptThis : `Pnt` ptNext : `Pnt` Returns: `Vec` Modifiers: inline	Returns a (not unitized) bisector vector in the middle direction from ptThis. Code : (ptPrev-ptThis).Unitized + (ptNext-ptThis).Unitized ptPrev * ptThis * ptNext -> bisector vector Extended Type: `Pnt` ptPrev : `Pnt` ptThis : `Pnt` ptNext : `Pnt` Returns: `Vec`
`Pnt.closestOfTwo pt1 pt2 referencePoint` Full Usage: `Pnt.closestOfTwo pt1 pt2 referencePoint` Parameters: pt1 : `Pnt` pt2 : `Pnt` referencePoint : `Pnt` Returns: `Pnt`	Returns the closer point of the two points to the reference given point. When both points are equally close, the first point is returned. Extended Type: `Pnt` pt1 : `Pnt` pt2 : `Pnt` referencePoint : `Pnt` Returns: `Pnt`
`Pnt.closestPointOnLine ln testPt` Full Usage: `Pnt.closestPointOnLine ln testPt` Parameters: ln : `Line3D` testPt : `Pnt` Returns: `Pnt` Modifiers: inline	Returns the closest point on a finite line segment to test point. The line segment is given as a Line3D `ln`. Fails if the line is degenerate (zero-length). Extended Type: `Pnt` ln : `Line3D` testPt : `Pnt` Returns: `Pnt`
`Pnt.createFromMembersXYZ pt` Full Usage: `Pnt.createFromMembersXYZ pt` Parameters: pt : `^T` Returns: `Pnt` Modifiers: inline Type parameters: ^T, ^a, ^b, ^c (requires (member get_X : ^T -> ^a) and (member get_Y : ^T -> ^b) and (member get_Z : ^T -> ^c) and (static member op_Explicit : ^a -> Microsoft.FSharp.Core.float) and (static member op_Explicit : ^b -> Microsoft.FSharp.Core.float) and (static member op_Explicit : ^c -> Microsoft.FSharp.Core.float))	Accepts any type that has a X, Y and Z (UPPERCASE) member that can be converted to a float. Internally this is not using reflection at runtime but F# Statically Resolved Type Parameters at compile time. Extended Type: `Pnt` pt : `^T` Returns: `Pnt`
`Pnt.createFromMembersxyz pt` Full Usage: `Pnt.createFromMembersxyz pt` Parameters: pt : `^T` Returns: `Pnt` Modifiers: inline Type parameters: ^T, ^a, ^b, ^c (requires (member get_x : ^T -> ^a) and (member get_y : ^T -> ^b) and (member get_z : ^T -> ^c) and (static member op_Explicit : ^a -> Microsoft.FSharp.Core.float) and (static member op_Explicit : ^b -> Microsoft.FSharp.Core.float) and (static member op_Explicit : ^c -> Microsoft.FSharp.Core.float))	Accepts any type that has a x, y and z (lowercase) member that can be converted to a float. Internally this is not using reflection at runtime but F# Statically Resolved Type Parameters at compile time. Extended Type: `Pnt` pt : `^T` Returns: `Pnt`
`Pnt.createFromPt p` Full Usage: `Pnt.createFromPt p` Parameters: p : `Pt` Returns: `Pnt` Modifiers: inline	Create 3D point from 2D point. Using 0.0 for Z Extended Type: `Pnt` p : `Pt` Returns: `Pnt`
`Pnt.createFromPtWithZ z p` Full Usage: `Pnt.createFromPtWithZ z p` Parameters: z : `float` p : `Pt` Returns: `Pnt` Modifiers: inline	Returns a 3D point from Z level and 2D point. Extended Type: `Pnt` z : `float` p : `Pt` Returns: `Pnt`
`Pnt.createFromUnitVec v` Full Usage: `Pnt.createFromUnitVec v` Parameters: v : `UnitVec` Returns: `Pnt` Modifiers: inline	Create 3D point from 3D unit-vector. Extended Type: `Pnt` v : `UnitVec` Returns: `Pnt`
`Pnt.createFromVec v` Full Usage: `Pnt.createFromVec v` Parameters: v : `Vec` Returns: `Pnt` Modifiers: inline	Create 3D point from 3D vector. Extended Type: `Pnt` v : `Vec` Returns: `Pnt`
`Pnt.directionDiamondInXYTo (fromPt, toPt)` Full Usage: `Pnt.directionDiamondInXYTo (fromPt, toPt)` Parameters: fromPt : `Pnt` toPt : `Pnt` Returns: `float` Modifiers: inline	Returns the Diamond Angle from 'fromPt' to 'toPt' projected in X-Y plane. The diamond angle is always positive and in the range of 0.0 to 4.0 (for 360 Degrees) 0.0 = Xaxis, going Counter-Clockwise. Ignoring Z component. This is the fastest angle computation since it does not use Math.Cos or Math.Sin. It is useful for radial sorting. Extended Type: `Pnt` fromPt : `Pnt` toPt : `Pnt` Returns: `float`
`Pnt.dist b p` Full Usage: `Pnt.dist b p` Parameters: b : `Pnt` p : `Pnt` Returns: `float` Modifiers: inline	Returns the distance between two 3D points. Extended Type: `Pnt` b : `Pnt` p : `Pnt` Returns: `float`
`Pnt.distPt (fromPt, dirPt, distance)` Full Usage: `Pnt.distPt (fromPt, dirPt, distance)` Parameters: fromPt : `Pnt` dirPt : `Pnt` distance : `float` Returns: `Pnt` Modifiers: inline	Returns a point that is at a given distance from a 3D point in the direction of another point. Extended Type: `Pnt` fromPt : `Pnt` dirPt : `Pnt` distance : `float` Returns: `Pnt`
`Pnt.distanceFromOrigin pt` Full Usage: `Pnt.distanceFromOrigin pt` Parameters: pt : `Pnt` Returns: `float` Modifiers: inline	Returns the distance from Origin (0, 0, 0) Extended Type: `Pnt` pt : `Pnt` Returns: `float`
`Pnt.distanceInXY a b` Full Usage: `Pnt.distanceInXY a b` Parameters: a : `Pnt` b : `Pnt` Returns: `float` Modifiers: inline	Returns the horizontal distance between two 3D points(ignoring their Z Value) Extended Type: `Pnt` a : `Pnt` b : `Pnt` Returns: `float`
`Pnt.distanceInXYFromOrigin pt` Full Usage: `Pnt.distanceInXYFromOrigin pt` Parameters: pt : `Pnt` Returns: `float` Modifiers: inline	Returns the projected distance from Origin (0, 0, 0). Ignoring the Z component. Extended Type: `Pnt` pt : `Pnt` Returns: `float`
`Pnt.distanceInXYFromOriginSquare pt` Full Usage: `Pnt.distanceInXYFromOriginSquare pt` Parameters: pt : `Pnt` Returns: `float` Modifiers: inline	Returns the projected squared distance from Origin (0, 0, 0). Ignoring the Z component. Extended Type: `Pnt` pt : `Pnt` Returns: `float`
`Pnt.distanceTo b p` Full Usage: `Pnt.distanceTo b p` Parameters: b : `Pnt` p : `Pnt` Returns: `float` Modifiers: inline	Returns the distance between two 3D points. Extended Type: `Pnt` b : `Pnt` p : `Pnt` Returns: `float`
`Pnt.distanceToLine ln testPt` Full Usage: `Pnt.distanceToLine ln testPt` Parameters: ln : `Line3D` testPt : `Pnt` Returns: `float` Modifiers: inline	Returns the distance between point and finite line segment. The line segment is given as a Line3D `ln`. Extended Type: `Pnt` ln : `Line3D` testPt : `Pnt` Returns: `float`
`Pnt.distanceToXYZ (x, y, z) p` Full Usage: `Pnt.distanceToXYZ (x, y, z) p` Parameters: x : `float` y : `float` z : `float` p : `Pnt` Returns: `float` Modifiers: inline	Returns the distance between a 3D point and given x, y, z coordinates. Extended Type: `Pnt` x : `float` y : `float` z : `float` p : `Pnt` Returns: `float`
`Pnt.divPt (fromPt, toPt, rel)` Full Usage: `Pnt.divPt (fromPt, toPt, rel)` Parameters: fromPt : `Pnt` toPt : `Pnt` rel : `float` Returns: `Pnt` Modifiers: inline	Linearly interpolates between two 3D points. e.g. rel=0.5 will return the middle point, rel=1.0 the endPoint, rel=3.0 a point three times the distance beyond the end point. Same as Pnt.lerp. Extended Type: `Pnt` fromPt : `Pnt` toPt : `Pnt` rel : `float` Returns: `Pnt`
`Pnt.equals tol a b` Full Usage: `Pnt.equals tol a b` Parameters: tol : `float` a : `Pnt` b : `Pnt` Returns: `bool` Modifiers: inline	Checks if two 3D points are equal within tolerance. Use a tolerance of 0.0 to check for an exact match. Extended Type: `Pnt` tol : `float` a : `Pnt` b : `Pnt` Returns: `bool`
`Pnt.extendToZLevel (fromPt, toPt, z)` Full Usage: `Pnt.extendToZLevel (fromPt, toPt, z)` Parameters: fromPt : `Pnt` toPt : `Pnt` z : `float` Returns: `Pnt`	Returns a point that is at a given Z level, going from a point in the direction of another point. Extended Type: `Pnt` fromPt : `Pnt` toPt : `Pnt` z : `float` Returns: `Pnt`
`Pnt.getX pt` Full Usage: `Pnt.getX pt` Parameters: pt : `Pnt` Returns: `float` Modifiers: inline	Gets the X value of 3D point. Extended Type: `Pnt` pt : `Pnt` Returns: `float`
`Pnt.getY pt` Full Usage: `Pnt.getY pt` Parameters: pt : `Pnt` Returns: `float` Modifiers: inline	Gets the Y value of 3D point. Extended Type: `Pnt` pt : `Pnt` Returns: `float`
`Pnt.getZ pt` Full Usage: `Pnt.getZ pt` Parameters: pt : `Pnt` Returns: `float` Modifiers: inline	Gets the Z value of 3D point. Extended Type: `Pnt` pt : `Pnt` Returns: `float`
`Pnt.isAlmostOrigin tol pt` Full Usage: `Pnt.isAlmostOrigin tol pt` Parameters: tol : `float` pt : `Pnt` Returns: `bool` Modifiers: inline	Returns a boolean indicating whether the absolute value of X, Y and Z is each less than the given tolerance. Extended Type: `Pnt` tol : `float` pt : `Pnt` Returns: `bool`
`Pnt.isInValid pt` Full Usage: `Pnt.isInValid pt` Parameters: pt : `Pnt` Returns: `bool` Modifiers: inline	Returns a boolean indicating whether X, Y or Z is NaN or Infinity. Extended Type: `Pnt` pt : `Pnt` Returns: `bool`
`Pnt.isNotOrigin pt` Full Usage: `Pnt.isNotOrigin pt` Parameters: pt : `Pnt` Returns: `bool` Modifiers: inline	Returns a boolean indicating if any of X, Y and Z is not exactly 0.0. Extended Type: `Pnt` pt : `Pnt` Returns: `bool`
`Pnt.isOrigin pt` Full Usage: `Pnt.isOrigin pt` Parameters: pt : `Pnt` Returns: `bool` Modifiers: inline	Returns a boolean indicating whether X, Y and Z are exactly 0.0. Extended Type: `Pnt` pt : `Pnt` Returns: `bool`
`Pnt.isValid pt` Full Usage: `Pnt.isValid pt` Parameters: pt : `Pnt` Returns: `bool` Modifiers: inline	Returns a boolean indicating whether X, Y and Z are valid (not NaN or Infinity). Extended Type: `Pnt` pt : `Pnt` Returns: `bool`
`Pnt.lerp (fromPt, toPt, rel)` Full Usage: `Pnt.lerp (fromPt, toPt, rel)` Parameters: fromPt : `Pnt` toPt : `Pnt` rel : `float` Returns: `Pnt` Modifiers: inline	Linearly interpolates between two 3D points. e.g. rel=0.5 will return the middle point, rel=1.0 the endPoint, rel=3.0 a point three times the distance beyond the end point. Same as Pnt.divPt. Extended Type: `Pnt` fromPt : `Pnt` toPt : `Pnt` rel : `float` Returns: `Pnt`
`Pnt.midPt a b` Full Usage: `Pnt.midPt a b` Parameters: a : `Pnt` b : `Pnt` Returns: `Pnt` Modifiers: inline	Returns the midpoint of two 3D points. Extended Type: `Pnt` a : `Pnt` b : `Pnt` Returns: `Pnt`
`Pnt.move shift pt` Full Usage: `Pnt.move shift pt` Parameters: shift : `Vec` pt : `Pnt` Returns: `Pnt` Modifiers: inline	Move point 3D by vector. Same as Pnt.translate. Extended Type: `Pnt` shift : `Vec` pt : `Pnt` Returns: `Pnt`
`Pnt.moveX x pt` Full Usage: `Pnt.moveX x pt` Parameters: x : `float` pt : `Pnt` Returns: `Pnt` Modifiers: inline	Add float to X component of a 3D point and return new 3D point. Extended Type: `Pnt` x : `float` pt : `Pnt` Returns: `Pnt`
`Pnt.moveY y pt` Full Usage: `Pnt.moveY y pt` Parameters: y : `float` pt : `Pnt` Returns: `Pnt` Modifiers: inline	Add float to Y component of a 3D point and return new 3D point. Extended Type: `Pnt` y : `float` pt : `Pnt` Returns: `Pnt`
`Pnt.moveZ z pt` Full Usage: `Pnt.moveZ z pt` Parameters: z : `float` pt : `Pnt` Returns: `Pnt` Modifiers: inline	Add float to Z component of a 3D point and return new 3D point. Extended Type: `Pnt` z : `float` pt : `Pnt` Returns: `Pnt`
`Pnt.normalOf3Pts (a, b, c)` Full Usage: `Pnt.normalOf3Pts (a, b, c)` Parameters: a : `Pnt` b : `Pnt` c : `Pnt` Returns: `Vec`	For three Points describing a plane return a normal. The points 'a', 'b' and 'c' in counter-clockwise order return a normal pointing towards the viewer (e.g. +Z for points in the XY plane), matching NPlane.createFrom3Points and Points3D.normalOfPoints. The result is not unitized. If the returned vector has length zero then the points are in one line. Extended Type: `Pnt` a : `Pnt` b : `Pnt` c : `Pnt` Returns: `Vec`
`Pnt.normalOfTwoPointsInXY (fromPt, toPt)` Full Usage: `Pnt.normalOfTwoPointsInXY (fromPt, toPt)` Parameters: fromPt : `Pnt` toPt : `Pnt` Returns: `Vec`	Every 3D line has a normal vector in the X-Y plane. Rotated Counter-Clockwise in top view. The result is unitized. If line is vertical then Xaxis is returned. see also : Vec.perpendicularVecInXY. Extended Type: `Pnt` fromPt : `Pnt` toPt : `Pnt` Returns: `Vec`
`Pnt.notEquals tol a b` Full Usage: `Pnt.notEquals tol a b` Parameters: tol : `float` a : `Pnt` b : `Pnt` Returns: `bool`	Check if two 3D points are not equal within a given tolerance. Use a tolerance of 0.0 to check if the two points are not exactly equal. Extended Type: `Pnt` tol : `float` a : `Pnt` b : `Pnt` Returns: `bool`
`Pnt.projectToXYPlane pt` Full Usage: `Pnt.projectToXYPlane pt` Parameters: pt : `Pnt` Returns: `Pnt` Modifiers: inline	Project point to World X-Y plane. Use make2D to convert to 2D point instance. Extended Type: `Pnt` pt : `Pnt` Returns: `Pnt`
`Pnt.projectedParameter (fromPt, uv, testPt)` Full Usage: `Pnt.projectedParameter (fromPt, uv, testPt)` Parameters: fromPt : `Pnt` - The origin point of the endless line. uv : `UnitVec` - The unit direction vector describing the orientation of the endless line. testPt : `Pnt` - The point to be projected onto the line. Returns: `float` The parameter (scalar value) along the unit vector at which the projection of testPt falls on the line. Modifiers: inline	Projects a test point onto an endless line defined by an origin point and a unit direction vector. Extended Type: `Pnt` fromPt : `Pnt` The origin point of the endless line. uv : `UnitVec` The unit direction vector describing the orientation of the endless line. testPt : `Pnt` The point to be projected onto the line. Returns: `float` The parameter (scalar value) along the unit vector at which the projection of testPt falls on the line.
`Pnt.projectedParameter (fromPt, v, testPt)` Full Usage: `Pnt.projectedParameter (fromPt, v, testPt)` Parameters: fromPt : `Pnt` - The origin point of the endless line. v : `Vec` - The direction vector of the endless line. Does not need to be unitized. testPt : `Pnt` - The point to be projected onto the line. Returns: `float` The parameter (scaling factor for the direction vector) at which the projection of testPt falls on the line. Modifiers: inline	Projects a test point onto an endless line defined by an origin point and a direction vector. Extended Type: `Pnt` fromPt : `Pnt` The origin point of the endless line. v : `Vec` The direction vector of the endless line. Does not need to be unitized. testPt : `Pnt` The point to be projected onto the line. Returns: `float` The parameter (scaling factor for the direction vector) at which the projection of testPt falls on the line.
`Pnt.projectedParameter (fromPt, toPt, testPt)` Full Usage: `Pnt.projectedParameter (fromPt, toPt, testPt)` Parameters: fromPt : `Pnt` - The start point defining the endless line. toPt : `Pnt` - The end point defining the direction of the endless line. testPt : `Pnt` - The point to be projected onto the line. Returns: `float` The parameter along the line direction (fromPt to toPt) at which the projection of testPt falls. A value of 0.0 corresponds to fromPt, 1.0 corresponds to toPt. Modifiers: inline	Projects a test point onto an endless line defined by two points. Extended Type: `Pnt` fromPt : `Pnt` The start point defining the endless line. toPt : `Pnt` The end point defining the direction of the endless line. testPt : `Pnt` The point to be projected onto the line. Returns: `float` The parameter along the line direction (fromPt to toPt) at which the projection of testPt falls. A value of 0.0 corresponds to fromPt, 1.0 corresponds to toPt.
`Pnt.rotate q pt` Full Usage: `Pnt.rotate q pt` Parameters: q : `Quaternion` pt : `Pnt` Returns: `Pnt` Modifiers: inline	Rotate by Quaternion around Origin Extended Type: `Pnt` q : `Quaternion` pt : `Pnt` Returns: `Pnt`
`Pnt.rotateOnX r p` Full Usage: `Pnt.rotateOnX r p` Parameters: r : `Rotation2D` p : `Pnt` Returns: `Pnt`	Rotate the 3D point around X-axis, from Y to Z-axis, Counter Clockwise looking from right. Extended Type: `Pnt` r : `Rotation2D` p : `Pnt` Returns: `Pnt`
`Pnt.rotateOnXDeg angDegree pt` Full Usage: `Pnt.rotateOnXDeg angDegree pt` Parameters: angDegree : `float` pt : `Pnt` Returns: `Pnt` Modifiers: inline	Rotate the 3D point in Degrees around X-axis, from Y to Z-axis, Counter Clockwise looking from right. Extended Type: `Pnt` angDegree : `float` pt : `Pnt` Returns: `Pnt`
`Pnt.rotateOnXWithCenter cen r pt` Full Usage: `Pnt.rotateOnXWithCenter cen r pt` Parameters: cen : `Pnt` r : `Rotation2D` pt : `Pnt` Returns: `Pnt`	Rotate the 3D point around a center 3D point and a X aligned axis, from Y to Z-axis, Counter Clockwise looking from right. Extended Type: `Pnt` cen : `Pnt` r : `Rotation2D` pt : `Pnt` Returns: `Pnt`
`Pnt.rotateOnXWithCenterDeg cen angDegree pt` Full Usage: `Pnt.rotateOnXWithCenterDeg cen angDegree pt` Parameters: cen : `Pnt` angDegree : `float` pt : `Pnt` Returns: `Pnt` Modifiers: inline	Rotate the 3D point in Degrees around center point and a X aligned axis, from Y to Z-axis, Counter Clockwise looking from right. Extended Type: `Pnt` cen : `Pnt` angDegree : `float` pt : `Pnt` Returns: `Pnt`
`Pnt.rotateOnY r p` Full Usage: `Pnt.rotateOnY r p` Parameters: r : `Rotation2D` p : `Pnt` Returns: `Pnt`	Rotate the 3D point around Y-axis, from Z to X-axis, Counter Clockwise looking from back. Extended Type: `Pnt` r : `Rotation2D` p : `Pnt` Returns: `Pnt`
`Pnt.rotateOnYDeg angDegree pt` Full Usage: `Pnt.rotateOnYDeg angDegree pt` Parameters: angDegree : `float` pt : `Pnt` Returns: `Pnt` Modifiers: inline	Rotate the 3D point in Degrees around Y-axis, from Z to X-axis, Counter Clockwise looking from back. Extended Type: `Pnt` angDegree : `float` pt : `Pnt` Returns: `Pnt`
`Pnt.rotateOnYWithCenter cen r pt` Full Usage: `Pnt.rotateOnYWithCenter cen r pt` Parameters: cen : `Pnt` r : `Rotation2D` pt : `Pnt` Returns: `Pnt`	Rotate the 3D point around a center point and a Y aligned axis, from Z to X-axis, Counter Clockwise looking from back. Extended Type: `Pnt` cen : `Pnt` r : `Rotation2D` pt : `Pnt` Returns: `Pnt`
`Pnt.rotateOnYWithCenterDeg cen angDegree pt` Full Usage: `Pnt.rotateOnYWithCenterDeg cen angDegree pt` Parameters: cen : `Pnt` angDegree : `float` pt : `Pnt` Returns: `Pnt` Modifiers: inline	Rotate the 3D point in Degrees around center point and a Y aligned axis, from Z to X-axis, Counter Clockwise looking from back. Extended Type: `Pnt` cen : `Pnt` angDegree : `float` pt : `Pnt` Returns: `Pnt`
`Pnt.rotateOnZ r p` Full Usage: `Pnt.rotateOnZ r p` Parameters: r : `Rotation2D` p : `Pnt` Returns: `Pnt`	Rotate the 3D point around Z-axis, from X to Y-axis, Counter Clockwise looking from top. Extended Type: `Pnt` r : `Rotation2D` p : `Pnt` Returns: `Pnt`
`Pnt.rotateOnZDeg angDegree pt` Full Usage: `Pnt.rotateOnZDeg angDegree pt` Parameters: angDegree : `float` pt : `Pnt` Returns: `Pnt` Modifiers: inline	Rotate the 3D point in Degrees around Z-axis, from X to Y-axis, Counter Clockwise looking from top. Extended Type: `Pnt` angDegree : `float` pt : `Pnt` Returns: `Pnt`
`Pnt.rotateOnZWithCenter cen r pt` Full Usage: `Pnt.rotateOnZWithCenter cen r pt` Parameters: cen : `Pnt` r : `Rotation2D` pt : `Pnt` Returns: `Pnt`	Rotate the 3D point around a center point and a Z aligned axis, from X to Y-axis, Counter Clockwise looking from top. Extended Type: `Pnt` cen : `Pnt` r : `Rotation2D` pt : `Pnt` Returns: `Pnt`
`Pnt.rotateOnZWithCenterDeg cen angDegree pt` Full Usage: `Pnt.rotateOnZWithCenterDeg cen angDegree pt` Parameters: cen : `Pnt` angDegree : `float` pt : `Pnt` Returns: `Pnt` Modifiers: inline	Rotate the 3D point in Degrees around center point and a Z aligned axis, from X to Y-axis, Counter Clockwise looking from top. Extended Type: `Pnt` cen : `Pnt` angDegree : `float` pt : `Pnt` Returns: `Pnt`
`Pnt.rotateWithCenter cen q pt` Full Usage: `Pnt.rotateWithCenter cen q pt` Parameters: cen : `Pnt` q : `Quaternion` pt : `Pnt` Returns: `Pnt` Modifiers: inline	Rotate by Quaternion around given center point. Extended Type: `Pnt` cen : `Pnt` q : `Quaternion` pt : `Pnt` Returns: `Pnt`
`Pnt.scale f pt` Full Usage: `Pnt.scale f pt` Parameters: f : `float` pt : `Pnt` Returns: `Pnt` Modifiers: inline	Scale a 3D point by a scalar and return new 3D point. Extended Type: `Pnt` f : `float` pt : `Pnt` Returns: `Pnt`
`Pnt.snap precision pt` Full Usage: `Pnt.snap precision pt` Parameters: precision : `float` pt : `Pnt` Returns: `Pnt` Modifiers: inline	Snaps the points coordinate to the given precision. e.g. snap 0.1 Pnt(0.123, 0.456, 0) -> Pnt(0.1, 0.5, 0) e.g. snap 10 Pnt(3 , 19 , 0) -> Pnt(0 , 20 , 0) does: (Math.Round (x/precision)) * precision Extended Type: `Pnt` precision : `float` pt : `Pnt` Returns: `Pnt`
`Pnt.snapIfClose snapDistance snapTo pt` Full Usage: `Pnt.snapIfClose snapDistance snapTo pt` Parameters: snapDistance : `float` snapTo : `Pnt` pt : `Pnt` Returns: `Pnt` Modifiers: inline	Snaps to a point if it is within the snapDistance. otherwise returns the original point. Extended Type: `Pnt` snapDistance : `float` snapTo : `Pnt` pt : `Pnt` Returns: `Pnt`
`Pnt.sqDist b p` Full Usage: `Pnt.sqDist b p` Parameters: b : `Pnt` p : `Pnt` Returns: `float` Modifiers: inline	Returns the squared distance between two 3D points. This operation is slightly faster than the distance function, and sufficient for many algorithms like finding closest points. Same as Pnt.sqDistanceTo. Extended Type: `Pnt` b : `Pnt` p : `Pnt` Returns: `float`
`Pnt.sqDistanceFromOrigin pt` Full Usage: `Pnt.sqDistanceFromOrigin pt` Parameters: pt : `Pnt` Returns: `float` Modifiers: inline	Returns the squared distance from Origin (0, 0, 0) Extended Type: `Pnt` pt : `Pnt` Returns: `float`
`Pnt.sqDistanceTo b p` Full Usage: `Pnt.sqDistanceTo b p` Parameters: b : `Pnt` p : `Pnt` Returns: `float` Modifiers: inline	Returns the squared distance between two 3D points. This operation is slightly faster than the distance function, and sufficient for many algorithms like finding closest points. Same as Pnt.sqDist Extended Type: `Pnt` b : `Pnt` p : `Pnt` Returns: `float`
`Pnt.sqDistanceToLine ln testPt` Full Usage: `Pnt.sqDistanceToLine ln testPt` Parameters: ln : `Line3D` testPt : `Pnt` Returns: `float` Modifiers: inline	Returns the squared distance between point and finite line segment. The line segment is given as a Line3D `ln`. Extended Type: `Pnt` ln : `Line3D` testPt : `Pnt` Returns: `float`
`Pnt.sqDistanceToXYZ (x, y, z) p` Full Usage: `Pnt.sqDistanceToXYZ (x, y, z) p` Parameters: x : `float` y : `float` z : `float` p : `Pnt` Returns: `float` Modifiers: inline	Returns the squared distance between a 3D point and given x, y, z coordinates. Extended Type: `Pnt` x : `float` y : `float` z : `float` p : `Pnt` Returns: `float`
`Pnt.transform m p` Full Usage: `Pnt.transform m p` Parameters: m : `Matrix` p : `Pnt` Returns: `Pnt` Modifiers: inline	Multiplies (or applies) a Matrix to a 3D point (with an implicit 1 in the 4th dimension, so that it also works correctly for projections.) Extended Type: `Pnt` m : `Matrix` p : `Pnt` Returns: `Pnt`
`Pnt.transformRigid m p` Full Usage: `Pnt.transformRigid m p` Parameters: m : `RigidMatrix` p : `Pnt` Returns: `Pnt` Modifiers: inline	Multiplies (or applies) a RigidMatrix to a 3D point. Extended Type: `Pnt` m : `RigidMatrix` p : `Pnt` Returns: `Pnt`
`Pnt.transformRigidRotateOnly m p` Full Usage: `Pnt.transformRigidRotateOnly m p` Parameters: m : `RigidMatrix` p : `Pnt` Returns: `Pnt`	Multiplies (or applies) only the 3x3 rotation part of a RigidMatrix to a 3D point. Extended Type: `Pnt` m : `RigidMatrix` p : `Pnt` Returns: `Pnt`
`Pnt.translate shift pt` Full Usage: `Pnt.translate shift pt` Parameters: shift : `Vec` pt : `Pnt` Returns: `Pnt` Modifiers: inline	Move point 3D by vector. Same as Pnt.move. Extended Type: `Pnt` shift : `Vec` pt : `Pnt` Returns: `Pnt`
`Pnt.withDistanceFromOrigin l pt` Full Usage: `Pnt.withDistanceFromOrigin l pt` Parameters: l : `float` pt : `Pnt` Returns: `Pnt` Modifiers: inline	Returns new 3D point with given distance from Origin by scaling it up or down. Extended Type: `Pnt` l : `float` pt : `Pnt` Returns: `Pnt`
`Pnt.withX x pt` Full Usage: `Pnt.withX x pt` Parameters: x : `float` pt : `Pnt` Returns: `Pnt` Modifiers: inline	Returns new 3D point with new X coordinate, Y and Z stay the same. Extended Type: `Pnt` x : `float` pt : `Pnt` Returns: `Pnt`
`Pnt.withY y pt` Full Usage: `Pnt.withY y pt` Parameters: y : `float` pt : `Pnt` Returns: `Pnt` Modifiers: inline	Returns a new 3D point with new Y coordinate, X and Z stay the same. Extended Type: `Pnt` y : `float` pt : `Pnt` Returns: `Pnt`
`Pnt.withZ z pt` Full Usage: `Pnt.withZ z pt` Parameters: z : `float` pt : `Pnt` Returns: `Pnt` Modifiers: inline	Returns a new 3D point with new Z coordinate, X and Y stay the same. Extended Type: `Pnt` z : `float` pt : `Pnt` Returns: `Pnt`