MathUtils.h File Reference

#include <cmath>
#include "Vector3D.h"
#include "Point3D.h"

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Namespaces
namespace	MathUtils

Functions
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)
bool ANALYSIS_EXPORT	MathUtils::BarycentricToXY (double u, double v, double w, Point3D *p1, Point3D *p2, Point3D *p3, Point3D *result)
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'.
double ANALYSIS_EXPORT	MathUtils::calcBernsteinPoly (int n, int i, double t)
	calculates the value of a Bernstein polynomial
double ANALYSIS_EXPORT	MathUtils::calcCubicHermitePoly (int n, int i, double t)
	calculates the value of a cubic Hermite polynomial
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
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
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.
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.
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'.
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.
int ANALYSIS_EXPORT	MathUtils::faculty (int n)
	faculty function
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'.
bool ANALYSIS_EXPORT	MathUtils::inDiametral (Point3D *p1, Point3D *p2, Point3D *point)
	Tests, whether 'point' is inside the diametral circle through 'p1' and 'p2'.
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'.
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.
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.
int ANALYSIS_EXPORT	MathUtils::lower (int n, int i)
	lower function
double ANALYSIS_EXPORT	MathUtils::max (double x, double y)
	returns the maximum of two doubles or the first argument if both are equal
double ANALYSIS_EXPORT	MathUtils::min (double x, double y)
	returns the minimum of two doubles or the first argument if both are equal
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.
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'.
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.
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'.
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.
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.
double ANALYSIS_EXPORT	MathUtils::power (double a, int b)
	power function for integer coefficients
double ANALYSIS_EXPORT	MathUtils::triArea (Point3D *pa, Point3D *pb, Point3D *pc)
	returns the area of a triangle.