- Generated on Mon Dec 23 2024 01:12:08 for ug4 by
1.9.1
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ug4
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#include <algorithm>#include "common/common.h"#include "common/math/math_vector_matrix/math_vector_functions.h"#include "common/math/math_vector_matrix/math_matrix_functions.h"#include "common/math/math_vector_matrix/math_matrix_vector_functions.h"Go to the source code of this file.
Namespaces | |
| ug | |
| the ug namespace | |
Functions | |
| 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. More... | |
| 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. More... | |
| template<class vector_t > | |
| void | ug::CalculateCenter (vector_t ¢erOut, const vector_t *pointSet, size_t numPoints) |
| calculates the center of a point-set More... | |
| template<class TNumber > | |
| TNumber | ug::clip (TNumber val, TNumber lowerBound, TNumber upperBound) |
| clips a number to the given interval [lowerBound, upperBound]. More... | |
| 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 More... | |
| 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. More... | |
| 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 More... | |
| 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. More... | |
| 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 More... | |
| 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. More... | |
| 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. More... | |
| 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 More... | |
| 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. More... | |
| 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. More... | |
| 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. More... | |
| 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. More... | |
| 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. More... | |
| 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 More... | |
| 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 More... | |
| 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. More... | |
| 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 More... | |
| 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 More... | |
| 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 More... | |
| 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 More... | |
| 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. More... | |
| 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 More... | |
| 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. More... | |
| 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. More... | |
| 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 More... | |
| 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 More... | |
| 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 More... | |
| template<class TNumber > | |
| TNumber | ug::sq (TNumber val) |
| returns the square of a value (val*val) More... | |
| 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 More... | |
| 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) More... | |
| 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. More... | |
| template<class TNumber > | |
| TNumber | ug::urand (TNumber lowerBound, TNumber upperBound) |
| uniform distributed random numbers in [lowerBound, upperBound[. Use srand to set a seed. More... | |
1.9.1