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Point distance to a Line by Danny
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times | Language:
BlitzBasic 3D
| Category:
Maths/Physics
Function PointDistanceToLine#( ax#,ay#,az#, bx#,by#,bz#, px#,py#,pz# ) ;| Calculates the shortest distance between a point P(xyz) and a line segment defined by A(xyz) and B(xyz) - danny. ;get the length of each side of the triangle ABP ab# = Sqr( (bx-ax)*(bx-ax) + (by-ay)*(by-ay) + (bz-az)*(bz-az) ) bp# = Sqr( (px-bx)*(px-bx) + (py-by)*(py-by) + (pz-bz)*(pz-bz) ) pa# = Sqr( (ax-px)*(ax-px) + (ay-py)*(ay-py) + (az-pz)*(az-pz) ) ;get the triangle's semiperimeter semi# = (ab+bp+pa) / 2.0 ;get the triangle's area area# = Sqr( semi * (semi-ab) * (semi-bp) * (semi-pa) ) ;return closest distance P to AB Return (2.0 * (area/ab)) End Function
Author Comments:
Given 2 3d points A and B (that make up for a line-segment) and a point P; this function will return the shortest distance between that point P and the line. I use this for my vertex lighting system where I have a linear light (a light defined by 2 3d coordinates) to check if a vertex (point P) is within range of that light, and its distance determines its fall-off. You could also use this to determin if the player is too close to a laser beam for example (or some other linear-object) like: IF player-distance-to-line <= heath-range-of-beam THEN add damage to player :) Danny
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