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MathUtils.h File Reference
#include <cmath>
#include "Vector3D.h"
#include "Point3D.h"
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 MathUtils
 

Functions

bool ANALYSIS_EXPORT MathUtils::calcBarycentricCoordinates (double x, double y, Point3D *p1, Point3D *p2, Point3D *p3, Point3D *result)
 Calculates the barycentric coordinates of a point (x,y) with respect to p1, p2, p3 and stores the three barycentric coordinates in 'result'. More...
 
bool ANALYSIS_EXPORT MathUtils::BarycentricToXY (double u, double v, double w, Point3D *p1, Point3D *p2, Point3D *p3, Point3D *result)
 
double ANALYSIS_EXPORT MathUtils::calcBernsteinPoly (int n, int i, double t)
 calculates the value of a Bernstein polynomial More...
 
double ANALYSIS_EXPORT MathUtils::cFDerBernsteinPoly (int n, int i, double t)
 calculates the first derivative of a Bernstein polynomial with respect to the parameter t More...
 
double ANALYSIS_EXPORT MathUtils::calcCubicHermitePoly (int n, int i, double t)
 calculates the value of a cubic Hermite polynomial More...
 
double ANALYSIS_EXPORT MathUtils::cFDerCubicHermitePoly (int n, int i, double t)
 calculates the first derivative of a cubic Hermite polynomial with respect to the parameter t More...
 
bool ANALYSIS_EXPORT MathUtils::circumcenter (Point3D *p1, Point3D *p2, Point3D *p3, Point3D *result)
 Calculates the center of the circle passing through p1, p2 and p3. More...
 
double ANALYSIS_EXPORT MathUtils::distPointFromLine (Point3D *thepoint, Point3D *p1, Point3D *p2)
 Calculates the (2 dimensional) distance from 'thepoint' to the line defined by p1 and p2. More...
 
int ANALYSIS_EXPORT MathUtils::faculty (int n)
 faculty function More...
 
bool ANALYSIS_EXPORT MathUtils::inCircle (Point3D *testp, Point3D *p1, Point3D *p2, Point3D *p3)
 Tests, whether 'testp' is inside the circle through 'p1', 'p2' and 'p3'. More...
 
bool ANALYSIS_EXPORT MathUtils::inDiametral (Point3D *p1, Point3D *p2, Point3D *point)
 Tests, whether 'point' is inside the diametral circle through 'p1' and 'p2'. More...
 
double ANALYSIS_EXPORT MathUtils::leftOf (Point3D *thepoint, Point3D *p1, Point3D *p2)
 Returns whether 'thepoint' is left or right of the line from 'p1' to 'p2'. More...
 
bool ANALYSIS_EXPORT MathUtils::lineIntersection (Point3D *p1, Point3D *p2, Point3D *p3, Point3D *p4)
 Returns true, if line1 (p1 to p2) and line2 (p3 to p4) intersect. More...
 
bool ANALYSIS_EXPORT MathUtils::lineIntersection (Point3D *p1, Point3D *p2, Point3D *p3, Point3D *p4, Point3D *intersection_point)
 Returns true, if line1 (p1 to p2) and line2 (p3 to p4) intersect. More...
 
int ANALYSIS_EXPORT MathUtils::lower (int n, int i)
 lower function More...
 
double ANALYSIS_EXPORT MathUtils::max (double x, double y)
 returns the maximum of two doubles or the first argument if both are equal More...
 
double ANALYSIS_EXPORT MathUtils::min (double x, double y)
 returns the minimum of two doubles or the first argument if both are equal More...
 
double ANALYSIS_EXPORT MathUtils::power (double a, int b)
 power function for integer coefficients More...
 
double ANALYSIS_EXPORT MathUtils::triArea (Point3D *pa, Point3D *pb, Point3D *pc)
 returns the area of a triangle. More...
 
bool ANALYSIS_EXPORT MathUtils::derVec (const Vector3D *v1, const Vector3D *v2, Vector3D *result, double x, double y)
 Calculates the z-component of a vector with coordinates 'x' and 'y'which is in the same tangent plane as the tangent vectors 'v1' and 'v2'. More...
 
double ANALYSIS_EXPORT MathUtils::crossVec (Point3D *first, Vector3D *vec1, Point3D *second, Vector3D *vec2)
 Calculates the intersection of the two vectors vec1 and vec2, which start at first(vec1) and second(vec2) end. More...
 
bool ANALYSIS_EXPORT MathUtils::normalLeft (Vector3D *v1, Vector3D *result, double length)
 Assigns the vector 'result', which is normal to the vector 'v1', on the left side of v1 and has length 'length'. More...
 
bool ANALYSIS_EXPORT MathUtils::normalRight (Vector3D *v1, Vector3D *result, double length)
 Assigns the vector 'result', which is normal to the vector 'v1', on the right side of v1 and has length 'length'. More...
 
void ANALYSIS_EXPORT MathUtils::normalFromPoints (Point3D *p1, Point3D *p2, Point3D *p3, Vector3D *vec)
 Calculates the normal vector of the plane through the points p1, p2 and p3 and assigns the result to vec. More...
 
bool ANALYSIS_EXPORT MathUtils::pointInsideTriangle (double x, double y, Point3D *p1, Point3D *p2, Point3D *p3)
 Returns true, if the point with coordinates x and y is inside (or at the edge) of the triangle p1,p2,p3 and false, if it is outside. More...
 
bool ANALYSIS_EXPORT MathUtils::normalMinDistance (Vector3D *tangent, Vector3D *target, Vector3D *result)
 Calculates a Vector orthogonal to 'tangent' with length 1 and closest possible to result. More...
 
double ANALYSIS_EXPORT MathUtils::planeTest (Point3D *test, Point3D *pt1, Point3D *pt2, Point3D *pt3)
 Tests, if 'test' is in the same plane as 'p1', 'p2' and 'p3' and returns the z-difference from the plane to 'test. More...
 
double ANALYSIS_EXPORT MathUtils::angle (Point3D *p1, Point3D *p2, Point3D *p3, Point3D *p4)
 Calculates the angle between two segments (in 2 dimension, z-values are ignored) More...