Tria3D (Euclid) | Euclid

Tria3D Type

Namespace: Euclid
Assembly: Euclid.dll
Base Type: obj

A type containing only static member functions for operations on 3D Triangles.

Static members

Static member	Description
`Tria3D.area (a, b, c)` Full Usage: `Tria3D.area (a, b, c)` Parameters: a : `Pnt` b : `Pnt` c : `Pnt` Returns: `float` Modifiers: inline	Returns the area of a triangle described by 3 points. a : `Pnt` b : `Pnt` c : `Pnt` Returns: `float`
`Tria3D.areaDouble (a, b, c)` Full Usage: `Tria3D.areaDouble (a, b, c)` Parameters: a : `Pnt` b : `Pnt` c : `Pnt` Returns: `float` Modifiers: inline	Returns the double area of a triangle. This is the fastest way to get a comparison or sorting value for the areas of triangles. This is just the length of the cross product vector. a : `Pnt` b : `Pnt` c : `Pnt` Returns: `float`
`Tria3D.intersectLine (line, p1, p2, p3)` Full Usage: `Tria3D.intersectLine (line, p1, p2, p3)` Parameters: line : `Line3D` p1 : `Pnt` p2 : `Pnt` p3 : `Pnt` Returns: `Pnt voption` Modifiers: inline	Calculates the intersection point on the finite Line3D with a 3D triangle. Returns: ValueSome with the intersection point. ValueNone if the finite line - does not intersect the triangle, - has zero length. - a triangle edge has zero length. line : `Line3D` p1 : `Pnt` p2 : `Pnt` p3 : `Pnt` Returns: `Pnt voption`
`Tria3D.intersectRay (line, p1, p2, p3)` Full Usage: `Tria3D.intersectRay (line, p1, p2, p3)` Parameters: line : `Line3D` p1 : `Pnt` p2 : `Pnt` p3 : `Pnt` Returns: `float voption` Modifiers: inline	Calculates the intersection parameter on the infinite Ray / Line3D with a 3D triangle. Returns: ValueSome with the parameter on the line. ValueNone if the ray /line - is parallel to the triangle plane, - lies in the triangle's plane, - passes outside the triangle, - has zero length. - a triangle edge has zero length. line : `Line3D` p1 : `Pnt` p2 : `Pnt` p3 : `Pnt` Returns: `float voption`
`Tria3D.intersectRayXYZ (lnFromX, lnFromY, lnFromZ, lnToX, lnToY, lnToZ, ptAx, ptAy, ptAz, ptBx, ptBy, ptBz, ptCx, ptCy, ptCz)` Full Usage: `Tria3D.intersectRayXYZ (lnFromX, lnFromY, lnFromZ, lnToX, lnToY, lnToZ, ptAx, ptAy, ptAz, ptBx, ptBy, ptBz, ptCx, ptCy, ptCz)` Parameters: lnFromX : `float` lnFromY : `float` lnFromZ : `float` lnToX : `float` lnToY : `float` lnToZ : `float` ptAx : `float` ptAy : `float` ptAz : `float` ptBx : `float` ptBy : `float` ptBz : `float` ptCx : `float` ptCy : `float` ptCz : `float` Returns: `float voption` Modifiers: inline	Calculates the intersection parameter on the infinite Ray / Line3D with a 3D triangle. Returns: ValueSome with the parameter on the line. ValueNone if the ray/line - is parallel to the triangle plane, - lies in the triangle's plane, - passes outside the triangle, - has zero length. - a triangle edge has zero length. Note: A degenerated linear triangle that still intersects with the line may sometimes return Some or None depending on the order of input points. lnFromX : `float` lnFromY : `float` lnFromZ : `float` lnToX : `float` lnToY : `float` lnToZ : `float` ptAx : `float` ptAy : `float` ptAz : `float` ptBx : `float` ptBy : `float` ptBz : `float` ptCx : `float` ptCy : `float` ptCz : `float` Returns: `float voption`
`Tria3D.intersectTriaVectorsWithRay (lnFromX, lnFromY, lnFromZ, dirX, dirY, dirZ, ptAx, ptAy, ptAz, e1x, e1y, e1z, e2x, e2y, e2z)` Full Usage: `Tria3D.intersectTriaVectorsWithRay (lnFromX, lnFromY, lnFromZ, dirX, dirY, dirZ, ptAx, ptAy, ptAz, e1x, e1y, e1z, e2x, e2y, e2z)` Parameters: lnFromX : `float` lnFromY : `float` lnFromZ : `float` dirX : `float` dirY : `float` dirZ : `float` ptAx : `float` ptAy : `float` ptAz : `float` e1x : `float` e1y : `float` e1z : `float` e2x : `float` e2y : `float` e2z : `float` Returns: `float voption`	Finds the intersection parameter on the infinite Line3D with a 3D triangle. Returns ValueNone if - any of the direction vectors are too small, - the line is parallel to the triangle plane, - the intersection point is outside the triangle. lnFromX, lnFromY, lnFromZ are the start point of the line dirX, dirY, dirZ are the direction vector of the line (not the end point) ptAx, ptAy, ptAz is the triangle points e1x, e1y, e1z is the triangle edge1 vector (B-A) e2x, e2y, e2z is the triangle edge2 vector (C-A) lnFromX : `float` lnFromY : `float` lnFromZ : `float` dirX : `float` dirY : `float` dirZ : `float` ptAx : `float` ptAy : `float` ptAz : `float` e1x : `float` e1y : `float` e1z : `float` e2x : `float` e2y : `float` e2z : `float` Returns: `float voption`
`Tria3D.isLinear (a, b, c, ?distanceTolerance)` Full Usage: `Tria3D.isLinear (a, b, c, ?distanceTolerance)` Parameters: a : `Pnt` b : `Pnt` c : `Pnt` ?distanceTolerance : `float` Returns: `bool`	Checks if three points are in one line. By finding the biggest angle in the triangle. And then measuring the distance from this point to the line defined by the other two points. a : `Pnt` b : `Pnt` c : `Pnt` ?distanceTolerance : `float` Returns: `bool`
`Tria3D.isLinearFast (a, b, c, ?maxAreaParallelogram)` Full Usage: `Tria3D.isLinearFast (a, b, c, ?maxAreaParallelogram)` Parameters: a : `Pnt` b : `Pnt` c : `Pnt` ?maxAreaParallelogram : `float` Returns: `bool` Modifiers: inline	Checks if three points are in one line. This is a very fast check, but it is hard to find an appropriate tolerance. (Default is 0.001) This tolerance is the area of the parallelogram described by two vectors created from the 3 points. So it also returns TRUE if the points are equal or very close to each other. Returns FALSE for NaN input values. Use Points.areInLine if you need better control over the actual tolerance distance. a : `Pnt` b : `Pnt` c : `Pnt` ?maxAreaParallelogram : `float` Returns: `bool`
`Tria3D.offset (a, b, c, dist)` Full Usage: `Tria3D.offset (a, b, c, dist)` Parameters: a : `Pnt` b : `Pnt` c : `Pnt` dist : `float` Returns: `Pnt * Pnt * Pnt`	Offsets all points by a given distance. The offset is inwards for positive distance and outwards for negative distance. a : `Pnt` b : `Pnt` c : `Pnt` dist : `float` Returns: `Pnt * Pnt * Pnt`
`Tria3D.offsetPnt (pntToOffset, prev, next, dist)` Full Usage: `Tria3D.offsetPnt (pntToOffset, prev, next, dist)` Parameters: pntToOffset : `Pnt` prev : `Pnt` next : `Pnt` dist : `float` Returns: `Pnt`	Offsets one point by a given distance. If the points 'prev', 'this' and 'next' are in counter-clockwise order, the offset is inwards. Otherwise it is outwards. A negative offset distance inverts the direction. pntToOffset : `Pnt` prev : `Pnt` next : `Pnt` dist : `float` Returns: `Pnt`
`Tria3D.offsetVar (ptToOffset, prev, next, distPrev, distNext)` Full Usage: `Tria3D.offsetVar (ptToOffset, prev, next, distPrev, distNext)` Parameters: ptToOffset : `Pnt` prev : `Pnt` next : `Pnt` distPrev : `float` distNext : `float` Returns: `ValueOption<Pnt>`	Finds the offset point based on the previous and next unit normals (= offset direction), and their offset distances. ptToOffset : `Pnt` prev : `Pnt` next : `Pnt` distPrev : `float` distNext : `float` Returns: `ValueOption<Pnt>`