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| template<class vector_t > |
| bool | ug::BoxBoundProbe (const vector_t &v, const vector_t &boxMin, const vector_t &boxMax) |
| | Returns true if the point lies inside or on the boundary of the box.
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| |
| template<class vector_t > |
| bool | ug::BoxBoxIntersection (const vector_t &box1Min, const vector_t &box1Max, const vector_t &box2Min, const vector_t &box2Max) |
| | checks whether two boxes intersect.
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| |
| template<class vector_t > |
| void | ug::CalculateCenter (vector_t ¢erOut, const vector_t *pointSet, size_t numPoints) |
| | calculates the center of a point-set
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| |
| template<class TNumber > |
| TNumber | ug::clip (TNumber val, TNumber lowerBound, TNumber upperBound) |
| | clips a number to the given interval [lowerBound, upperBound].
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| |
| template<class TNumber > |
| TNumber | ug::deg_to_rad (TNumber deg) |
| |
| template<class vector_t > |
| number | ug::DistancePointToLine (const vector_t &v, const vector_t &v1, const vector_t &v2) |
| | calculates the distance of a point to a line segment
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| |
| template<class vector_t > |
| number | ug::DistancePointToLine (number &tOut, const vector_t &v, const vector_t &v1, const vector_t &v2) |
| |
| template<class vector_t > |
| number | ug::DistancePointToPlane (const vector_t &v, const vector_t &p, const vector_t &n) |
| | Calculates the distance between the specified point and the plane.
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| |
| template<class vector_t > |
| number | ug::DistancePointToRay (const vector_t &v, const vector_t &from, const vector_t &dir) |
| | calculates the distance of a point to a ray
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| |
| template<class vector_t > |
| number | ug::DistancePointToRay (vector_t &vOut, number &tOut, const vector_t &v, const vector_t &from, const vector_t &dir) |
| |
| template<class vector_t > |
| number | ug::DistancePointToTriangle (vector_t &vOut, number &bc1Out, number &bc2Out, const vector_t &p, const vector_t &v1, const vector_t &v2, const vector_t &v3, const vector_t &n) |
| | calculates the minimal distance of a point to a triangle.
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| |
| template<class vector_t > |
| number | ug::DropAPerpendicular (vector_t &vOut, const vector_t &v, const vector_t &v0, const vector_t &v1) |
| | finds the projection of v onto the line defined by v0 and v1
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| |
| template<class vector_t > |
| number | ug::GeometricApproximationDegree (vector_t &n1, vector_t &n2, vector_t &n3, vector_t &tn) |
| | the returned degree lies between 0 and 1. The closer to 1 the better.
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| |
| template<class vector_t > |
| bool | ug::LineBoxIntersection (const vector_t &v1, const vector_t &v2, const vector_t &boxMin, const vector_t &boxMax) |
| | checks whether the given line-segment (v1, v2) intersect the given box.
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| |
| template<class vector_t > |
| bool | ug::LineLineIntersection2d (vector_t &vOut, number &t0Out, number &t1Out, const vector_t &from0, const vector_t &to0, const vector_t &from1, const vector_t &to1, const number threshold=0) |
| | calculates the intersection of a two lines in 2d
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| |
| template<class vector_t > |
| bool | ug::LineLineProjection (number &t1Out, number &t2Out, const vector_t &a1, const vector_t &a2, const vector_t &b1, const vector_t &b2) |
| | calculates the closest point between the rays through the given lines.
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| |
| template<class vector_t > |
| int | ug::LineSphereIntersection (number &s1Out, number &s2Out, const vector_t &v1, const vector_t &v2, const vector_t ¢er, number radius) |
| |
| template<> |
| bool | ug::PointIsInsideQuadrilateral (const MathVector< 3 > &v, const MathVector< 3 > &v0, const MathVector< 3 > &v1, const MathVector< 3 > &v2, const MathVector< 3 > &v3) |
| |
| template<class vector_t > |
| bool | ug::PointIsInsideQuadrilateral (const vector_t &v, const vector_t &v0, const vector_t &v1, const vector_t &v2, const vector_t &v3) |
| | Returns true if the point lies inside or on the boundary of a quadrilateral.
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| |
| template<class vector_t > |
| bool | ug::PointIsInsideTetrahedron (const vector_t &v, const vector_t &v0, const vector_t &v1, const vector_t &v2, const vector_t &v3) |
| | Returns true if the point lies inside or on the boundary of a tetrahedron.
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| |
| template<> |
| bool | ug::PointIsInsideTriangle (const MathVector< 3 > &v, const MathVector< 3 > &v0, const MathVector< 3 > &v1, const MathVector< 3 > &v2) |
| |
| template<class vector_t > |
| bool | ug::PointIsInsideTriangle (const vector_t &v, const vector_t &v0, const vector_t &v1, const vector_t &v2) |
| | Returns true if the point lies inside or on the boundary of a triangle.
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| |
| template<class vector_t > |
| bool | ug::PointIsInsideTriangle_HighAcc (const vector_t &v, const vector_t &v0, const vector_t &v1, const vector_t &v2) |
| | Returns true if the point lies inside or on a side of the given triangle.
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| |
| template<class vector_t > |
| vector_t | ug::PointOnRay (const vector_t &from, const vector_t &dir, number s) |
| | returns the point described by a relative ray coordinate
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| |
| template<class vector_t > |
| number | ug::ProjectPointToLine (vector_t &vOut, const vector_t &v, const vector_t &from, const vector_t &to) |
| | finds the projection of v onto the line defined by from and to
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| |
| template<class vector_t > |
| void | ug::ProjectPointToPlane (vector_t &vOut, const vector_t &v, const vector_t &p, const vector_t &n) |
| | projects v onto the plane defined by the point p and the planes normal n.
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| |
| template<class vector_t > |
| number | ug::ProjectPointToRay (vector_t &vOut, const vector_t &v, const vector_t &from, const vector_t &dir) |
| | finds the projection of v onto the ray defined by from and dir
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| |
| template<class vector_t > |
| number | ug::QuadrilateralArea (const vector_t &p1, const vector_t &p2, const vector_t &p3, const vector_t &p4) |
| | calculates the are of the triangle defined by p1, p2 and p3
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| |
| template<class TNumber > |
| TNumber | ug::rad_to_deg (TNumber rad) |
| |
| template<class vector_t > |
| bool | ug::RayBoxIntersection (const vector_t &rayFrom, const vector_t &rayDir, const vector_t &boxMin, const vector_t &boxMax, number *tNearOut=NULL, number *tFarOut=NULL) |
| | checks if a ray is intersecting a box
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| |
| template<class vector_t > |
| bool | ug::RayLineIntersection2d (vector_t &vOut, number &bcOut, number &tOut, const vector_t &p0, const vector_t &p1, const vector_t &vFrom, const vector_t &vDir, number sml=0) |
| | calculates the intersection of a ray with a Line in 2d
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| |
| template<class vector_t > |
| bool | ug::RayPlaneIntersection (vector_t &vOut, number &tOut, const vector_t &rayFrom, const vector_t &rayDir, const vector_t &p, const vector_t &n) |
| | calculates the intersection of the ray rayFrom+t*rayDir and the plane (x-p)*n=0.
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| |
| template<class vector_t > |
| bool | ug::RayRayIntersection2d (vector_t &vOut, number &t0Out, number &t1Out, const vector_t &p0, const vector_t &dir0, const vector_t &p1, const vector_t &dir1) |
| | calculates the intersection of two Rays in 2d
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| |
| template<class vector_t > |
| bool | ug::RayRayProjection (number &t1Out, number &t2Out, const vector_t &from1, const vector_t &dir1, const vector_t &from2, const vector_t &dir2) |
| | Calculates the parameter values at wich two rays are closest.
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| |
| template<class vector_t > |
| int | ug::RaySphereIntersection (number &s1Out, number &s2Out, const vector_t &v, const vector_t &dir, const vector_t ¢er, number radius) |
| | checks whether the line segment (v1, v2) intersect the given sphere.
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| |
| template<class vector_t > |
| bool | ug::RayTriangleIntersection (vector_t &vOut, const vector_t &p0, const vector_t &p1, const vector_t &p2, const vector_t &vFrom, const vector_t &vDir) |
| | calculates the intersection of a ray with a triangle
|
| |
| template<class vector_t > |
| bool | ug::RayTriangleIntersection (vector_t &vOut, number &bc1Out, number &bc2Out, number &tOut, const vector_t &p0, const vector_t &p1, const vector_t &p2, const vector_t &vFrom, const vector_t &vDir, const number small=SMALL) |
| | calculates the intersection of a ray with a triangle
|
| |
| template<class vector_t > |
| void | ug::ReflectVectorAtPlane (vector_t &vReflectedOut, const vector_t &v, const vector_t &n, const vector_t &r0) |
| | reflects a vector at a plane
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| |
| template<class TNumber > |
| TNumber | ug::sq (TNumber val) |
| | returns the square of a value (val*val)
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| |
| template<class vector_t > |
| number | ug::TriangleArea (const vector_t &p1, const vector_t &p2, const vector_t &p3) |
| | calculates the are of the triangle defined by p1, p2 and p3
|
| |
| template<class vector_t > |
| vector_t | ug::TriangleBarycenter (const vector_t &p1, const vector_t &p2, const vector_t &p3) |
| | Calculates the barycenter of a triangle (1/3) * (p1+p2+p3)
|
| |
| template<class vector_t > |
| number | ug::TriangleQuality_Area (const vector_t &p1, const vector_t &p2, const vector_t &p3) |
| | returns a value between 0 and 1. The higher the better.
|
| |
| template<class TNumber > |
| TNumber | ug::urand (TNumber lowerBound, TNumber upperBound) |
| | uniform distributed random numbers in [lowerBound, upperBound[. Use srand to set a seed.
|
| |
1.9.8