 Sphere[Class Summary] |
 pos |
| r |
 ctor (+4 overloads) |
| Translate(offset) |
| Transform(transform) (+3 overloads) |
| MinimalEnclosingAABB()[const] |
| MaximalContainedAABB()[const] |
| SetNegativeInfinity() |
| Volume()[const] |
| SurfaceArea()[const] |
| Diameter()[const] |
| Centroid()[const] |
| AnyPointFast()[const] |
| ExtremePoint(direction)[const] (+1 overload) |
| ProjectToAxis(...)[const] |
| IsFinite()[const] |
| IsDegenerate()[const] |
| SetDegenerate() |
| Contains(point)[const] (+11 overloads) |
| Distance(point)[const] (+9 overloads) |
| MaxDistance(point)[const] |
| ClosestPoint(point)[const] |
| Intersects(...)[const] (+11 overloads) |
| Enclose(point,epsilon) (+10 overloads) |
| ExtendRadiusToContain(point,epsilon) (+1 overload) |
| RandomPointInside(lcg) |
| RandomPointOnSurface(lcg) |
| Triangulate(...)[const] |
| ToString()[const] |
| SerializeToString()[const] |
| SerializeToCodeString()[const] |
| Equals(rhs,epsilon)[const] |
| BitEquals(other)[const] |
| FastEnclosingSphere(...)[static] |
| OptimalEnclosingSphere(...)[static] (+4 overloads) |
| FitThroughPoints(a,b)[static] (+2 overloads) |
| RandomPointInside(lcg,center,radius)[static] |
| RandomPointOnSurface(lcg,center,radius)[static] |
| RandomUnitaryFloat3(lcg)[static] |
| IntersectLine(...)[static] |
| FromString(str,outEndStr)[static] (+1 overload) |
Sphere::RandomPointInside
Syntax
float4 Sphere::RandomPointInside(LCG &lcg); [19 lines of code]float4 Sphere::RandomPointInside(LCG &lcg, const float4 ¢er, float radius); [4 lines of code]
Generates a random point inside this sphere.
The points are distributed uniformly. This function uses the rejection method to generate a uniform distribution of points inside a sphere. Therefore it is assumed that this sphere is not degenerate, i.e. it has a positive radius. A fixed number of 1000 tries is performed, after which the sphere center position is returned as a fallback.
Parameters
LCG &lcgA pre-seeded random number generator object that is to be used by this function to generate random values.
See Also
Work in progress:
Todo: in float4 Sphere::RandomPointInside(LCG &lcg):
Add Sphere::Point(polarYaw, polarPitch, radius).