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.AsPt` Full Usage: `this.AsPt` Returns: `Pt` Modifiers: inline	Returns the 3D point as 2D point. Extended Type: `Pnt` 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.AsVec` Full Usage: `this.AsVec` Returns: `Vec` Modifiers: inline	Returns the 3D point as 3D vector. Extended Type: `Pnt` Returns: `Vec`
`this.ClosestPointOnLine` Full Usage: `this.ClosestPointOnLine` Parameters: fromPt : `Pnt` toPt : `Pnt` Returns: `Pnt` Modifiers: inline	Get closest point on finite line to test point. Extended Type: `Pnt` fromPt : `Pnt` toPt : `Pnt` Returns: `Pnt`
`this.ClosestPointOnLine` Full Usage: `this.ClosestPointOnLine` Parameters: fromPt : `Pnt` uv : `UnitVec` len : `float` Returns: `Pnt` Modifiers: inline	Get closest point on finite line to test point. Extended Type: `Pnt` fromPt : `Pnt` uv : `UnitVec` len : `float` 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.DistanceFromOrigin` Full Usage: `this.DistanceFromOrigin` Returns: `float` Modifiers: inline	Returns the distance from Origin (0, 0, 0) Extended Type: `Pnt` Returns: `float`
`this.DistanceFromOriginSquare` Full Usage: `this.DistanceFromOriginSquare` Parameters: () : `unit` Returns: `float` Modifiers: inline	Returns the squared distance from Origin (0, 0, 0) Extended Type: `Pnt` () : `unit` Returns: `float`
`this.DistanceFromOriginSquare` Full Usage: `this.DistanceFromOriginSquare` Returns: `float` Modifiers: inline	Returns the squared distance from Origin (0, 0, 0) Extended Type: `Pnt` 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.DistanceInXYFromOrigin` Full Usage: `this.DistanceInXYFromOrigin` Returns: `float` Modifiers: inline	Returns the projected distance from Origin (0, 0, 0). Ignoring the Z component. Extended Type: `Pnt` Returns: `float`
`this.DistanceInXYFromOriginSquare` Full Usage: `this.DistanceInXYFromOriginSquare` Parameters: () : `unit` Returns: `float` Modifiers: inline	Returns the projected square distance from Origin (0, 0, 0). Ignoring the Z component. Extended Type: `Pnt` () : `unit` Returns: `float`
`this.DistanceInXYFromOriginSquare` Full Usage: `this.DistanceInXYFromOriginSquare` Returns: `float` Modifiers: inline	Returns the projected square distance from Origin (0, 0, 0). Ignoring the Z component. Extended Type: `Pnt` 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: fromPt : `Pnt` uv : `UnitVec` len : `float` Returns: `float` Modifiers: inline	Returns the distance between point and finite line segment defined by start point, direction and length. Extended Type: `Pnt` fromPt : `Pnt` uv : `UnitVec` len : `float` Returns: `float`
`this.DistanceToLine` Full Usage: `this.DistanceToLine` Parameters: fromPt : `Pnt` toPt : `Pnt` Returns: `float` Modifiers: inline	Returns the distance between point and finite line segment defined by start and end. Extended Type: `Pnt` fromPt : `Pnt` toPt : `Pnt` Returns: `float`
`this.DistanceToLineSquare` Full Usage: `this.DistanceToLineSquare` Parameters: fromPt : `Pnt` uv : `UnitVec` len : `float` Returns: `float` Modifiers: inline	Returns the squared distance between point and finite line segment defined by start point, direction and length. Extended Type: `Pnt` fromPt : `Pnt` uv : `UnitVec` len : `float` Returns: `float`
`this.DistanceToLineSquare` Full Usage: `this.DistanceToLineSquare` Parameters: fromPt : `Pnt` toPt : `Pnt` uv : `UnitVec` len : `float` Returns: `float` Modifiers: inline	Returns the squared distance between point and finite line segment defined by start point, end point, direction and length. The last two parameters help speed up calculations. Extended Type: `Pnt` fromPt : `Pnt` toPt : `Pnt` uv : `UnitVec` len : `float` Returns: `float`
`this.DistanceToSquare` Full Usage: `this.DistanceToSquare` 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.IsAlmostOrigin` Full Usage: `this.IsAlmostOrigin` Parameters: tol : `float` Returns: `bool` Modifiers: inline	Returns a boolean indicating wether the absolute value of X, Y and Z is each less than the given tolerance. Extended Type: `Pnt` tol : `float` 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.IsNotOrigin` Full Usage: `this.IsNotOrigin` Returns: `bool` Modifiers: inline	Returns a boolean indicating if any of X, Y and Z is not exactly 0.0. Extended Type: `Pnt` Returns: `bool`
`this.IsOrigin` Full Usage: `this.IsOrigin` Parameters: () : `unit` Returns: `bool` Modifiers: inline	Returns a boolean indicating wether X, Y and Z are exactly 0.0. Extended Type: `Pnt` () : `unit` Returns: `bool`
`this.IsOrigin` Full Usage: `this.IsOrigin` Returns: `bool` Modifiers: inline	Returns a boolean indicating wether X, Y and Z are exactly 0.0. Extended Type: `Pnt` Returns: `bool`
`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 vector 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 vector 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.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.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.create (x, y, z)` Full Usage: `Pnt.create (x, y, z)` Parameters: x : `float` y : `float` z : `float` Returns: `Pnt` Modifiers: inline	Create 3D point from X, Y and Z components. Extended Type: `Pnt` x : `float` y : `float` z : `float` Returns: `Pnt`
`Pnt.createFromMembersXYZ pt` Full Usage: `Pnt.createFromMembersXYZ pt` Parameters: pt : `^T` Returns: `Pnt` Modifiers: inline Type parameters: ^T, ^a, ^b, ^c	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	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.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.distance a b` Full Usage: `Pnt.distance a b` Parameters: a : `Pnt` b : `Pnt` Returns: `float` Modifiers: inline	Returns the distance between two 3D points. Extended Type: `Pnt` a : `Pnt` b : `Pnt` Returns: `float`
`Pnt.distanceFromOrigin pt` Full Usage: `Pnt.distanceFromOrigin pt` Parameters: pt : `Pnt` Returns: `float` Modifiers: inline	Returns the distance from World Origin. Extended Type: `Pnt` pt : `Pnt` Returns: `float`
`Pnt.distanceFromOriginSquare pt` Full Usage: `Pnt.distanceFromOriginSquare pt` Parameters: pt : `Pnt` Returns: `float` Modifiers: inline	Returns the square distance from World Origin. Extended Type: `Pnt` pt : `Pnt` Returns: `float`
`Pnt.distanceSq a b` Full Usage: `Pnt.distanceSq a b` Parameters: a : `Pnt` b : `Pnt` Returns: `float` Modifiers: inline	Returns the squared distance between two 3D points. This operation is slightly faster than the Pnt.distance function, and sufficient for many algorithms like finding closest points. Extended Type: `Pnt` a : `Pnt` b : `Pnt` Returns: `float`
`Pnt.distanceXY a b` Full Usage: `Pnt.distanceXY 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.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` Modifiers: inline	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.failedDistPt (fromPt, dirPt, distance)` Full Usage: `Pnt.failedDistPt (fromPt, dirPt, distance)` Parameters: fromPt : `Pnt` dirPt : `Pnt` distance : `float` Returns: `'a`	Extended Type: `Pnt` fromPt : `Pnt` dirPt : `Pnt` distance : `float` Returns: `'a`
`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.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. 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 line has a normal vector in 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.offsetTwoPt (fromPt, toPt, distHor, distNormal)` Full Usage: `Pnt.offsetTwoPt (fromPt, toPt, distHor, distNormal)` Parameters: fromPt : `Pnt` toPt : `Pnt` distHor : `float` distNormal : `float` Returns: `Pnt * Pnt`	Offsets two 3D points by two given distances. The fist distance (distHor) is applied in in X-Y plane. The second distance (distNormal) is applied perpendicular to the line (made by the two 3D points) and perpendicular to the horizontal offset direction. This is in World.Z direction if both points are at the same Z level. If points are closer than than 1e-6 units the World.Xaxis is used as first direction and World Z-axis as second direction. Extended Type: `Pnt` fromPt : `Pnt` toPt : `Pnt` distHor : `float` distNormal : `float` Returns: `Pnt * Pnt`
`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` uv : `UnitVec` testPt : `Pnt` Returns: `float` Modifiers: inline	'fromPt' point and uv unit-vector describe an endless line. testPt gets projected on to this line. Returns the parameter (or scaling for unit-vector) on this line of the projection. Extended Type: `Pnt` fromPt : `Pnt` uv : `UnitVec` testPt : `Pnt` Returns: `float`
`Pnt.projectedParameter (fromPt, v, testPt)` Full Usage: `Pnt.projectedParameter (fromPt, v, testPt)` Parameters: fromPt : `Pnt` v : `Vec` testPt : `Pnt` Returns: `float` Modifiers: inline	'fromPt' point and 'v' vector describe an endless 3D line. 'testPt' gets projected onto this line. Returns the parameter (or scaling for vector) on this line of the projection. Extended Type: `Pnt` fromPt : `Pnt` v : `Vec` testPt : `Pnt` Returns: `float`
`Pnt.projectedParameter (fromPt, toPt, testPt)` Full Usage: `Pnt.projectedParameter (fromPt, toPt, testPt)` Parameters: fromPt : `Pnt` toPt : `Pnt` testPt : `Pnt` Returns: `float` Modifiers: inline	'fromPt' point and 'toPt' point describe an endless 3D line. 'testPt' gets projected onto this line. Returns the parameter (or scaling for vector) on this line of the projection. Extended Type: `Pnt` fromPt : `Pnt` toPt : `Pnt` testPt : `Pnt` Returns: `float`
`Pnt.rotateByQuaternion q pt` Full Usage: `Pnt.rotateByQuaternion 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.rotateWithCenterByQuat cen q pt` Full Usage: `Pnt.rotateWithCenterByQuat 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.rotateX angDegree pt` Full Usage: `Pnt.rotateX 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.rotateXBy r p` Full Usage: `Pnt.rotateXBy 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.rotateXwithCenter cen angDegree pt` Full Usage: `Pnt.rotateXwithCenter 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.rotateXwithCenterBy cen r pt` Full Usage: `Pnt.rotateXwithCenterBy 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.rotateY angDegree pt` Full Usage: `Pnt.rotateY 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.rotateYBy r p` Full Usage: `Pnt.rotateYBy 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.rotateYwithCenter cen angDegree pt` Full Usage: `Pnt.rotateYwithCenter 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.rotateYwithCenterBy cen r pt` Full Usage: `Pnt.rotateYwithCenterBy 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.rotateZ angDegree pt` Full Usage: `Pnt.rotateZ 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.rotateZBy r p` Full Usage: `Pnt.rotateZBy 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.rotateZwithCenter cen angDegree pt` Full Usage: `Pnt.rotateZwithCenter 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.rotateZwithCenterBy cen r pt` Full Usage: `Pnt.rotateZwithCenterBy 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.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.setDistanceFromOrigin f pt` Full Usage: `Pnt.setDistanceFromOrigin f pt` Parameters: f : `float` pt : `Pnt` Returns: `Pnt` Modifiers: inline	Returns a new 3D point at a given distance from World Origin by scaling the input. 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.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.withX x pt` Full Usage: `Pnt.withX x pt` Parameters: x : `float` pt : `Pnt` Returns: `Pnt` Modifiers: inline	Sets the X value and return new 3D point. 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	Sets the Y value and return new 3D point. 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	Sets the Z value and return new 3D point. Extended Type: `Pnt` z : `float` pt : `Pnt` Returns: `Pnt`