QGIS API Documentation  2.99.0-Master (9fdd060)
MathUtils.h
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1 /***************************************************************************
2  MathUtils.h - description
3  -------------------
4  copyright : (C) 2004 by Marco Hugentobler
5  email : [email protected]
6  ***************************************************************************/
7 
8 /***************************************************************************
9  * *
10  * This program is free software; you can redistribute it and/or modify *
11  * it under the terms of the GNU General Public License as published by *
12  * the Free Software Foundation; either version 2 of the License, or *
13  * (at your option) any later version. *
14  * *
15  ***************************************************************************/
16 
17 #ifndef MATHUTILS_H
18 #define MATHUTILS_H
19 
20 #include <cmath>
21 #include "qgis_analysis.h"
22 
23 class QgsPoint;
24 class Vector3D;
25 
26 #define SIP_NO_FILE
27 
28 namespace MathUtils
29 {
31  bool ANALYSIS_EXPORT calcBarycentricCoordinates( double x, double y, QgsPoint *p1, QgsPoint *p2, QgsPoint *p3, QgsPoint *result );
32  bool ANALYSIS_EXPORT BarycentricToXY( double u, double v, double w, QgsPoint *p1, QgsPoint *p2, QgsPoint *p3, QgsPoint *result );
34  double ANALYSIS_EXPORT calcBernsteinPoly( int n, int i, double t );
36  double ANALYSIS_EXPORT cFDerBernsteinPoly( int n, int i, double t );
38  double ANALYSIS_EXPORT calcCubicHermitePoly( int n, int i, double t );
40  double ANALYSIS_EXPORT cFDerCubicHermitePoly( int n, int i, double t );
42  bool ANALYSIS_EXPORT circumcenter( QgsPoint *p1, QgsPoint *p2, QgsPoint *p3, QgsPoint *result );
44  double ANALYSIS_EXPORT distPointFromLine( QgsPoint *thepoint, QgsPoint *p1, QgsPoint *p2 );
46  int ANALYSIS_EXPORT faculty( int n );
48  bool ANALYSIS_EXPORT inCircle( QgsPoint *testp, QgsPoint *p1, QgsPoint *p2, QgsPoint *p3 );
50  bool ANALYSIS_EXPORT inDiametral( QgsPoint *p1, QgsPoint *p2, QgsPoint *point );
52  double ANALYSIS_EXPORT leftOf( QgsPoint *thepoint, QgsPoint *p1, QgsPoint *p2 );
54  bool ANALYSIS_EXPORT lineIntersection( QgsPoint *p1, QgsPoint *p2, QgsPoint *p3, QgsPoint *p4 );
56  bool ANALYSIS_EXPORT lineIntersection( QgsPoint *p1, QgsPoint *p2, QgsPoint *p3, QgsPoint *p4, QgsPoint *intersection_point );
58  int ANALYSIS_EXPORT lower( int n, int i );
60  double ANALYSIS_EXPORT triArea( QgsPoint *pa, QgsPoint *pb, QgsPoint *pc );
62  bool ANALYSIS_EXPORT derVec( const Vector3D *v1, const Vector3D *v2, Vector3D *result, double x, double y );
64  double ANALYSIS_EXPORT crossVec( QgsPoint *first, Vector3D *vec1, QgsPoint *second, Vector3D *vec2 );
66  bool ANALYSIS_EXPORT normalLeft( Vector3D *v1, Vector3D *result, double length );
68  bool ANALYSIS_EXPORT normalRight( Vector3D *v1, Vector3D *result, double length );
70  void ANALYSIS_EXPORT normalFromPoints( QgsPoint *p1, QgsPoint *p2, QgsPoint *p3, Vector3D *vec );
72  bool ANALYSIS_EXPORT pointInsideTriangle( double x, double y, QgsPoint *p1, QgsPoint *p2, QgsPoint *p3 );
74  bool ANALYSIS_EXPORT normalMinDistance( Vector3D *tangent, Vector3D *target, Vector3D *result );
76  double ANALYSIS_EXPORT planeTest( QgsPoint *test, QgsPoint *pt1, QgsPoint *pt2, QgsPoint *pt3 );
78  double ANALYSIS_EXPORT angle( QgsPoint *p1, QgsPoint *p2, QgsPoint *p3, QgsPoint *p4 );
79 }
80 
81 #endif
bool ANALYSIS_EXPORT normalRight(Vector3D *v1, Vector3D *result, double length)
Assigns the vector &#39;result&#39;, which is normal to the vector &#39;v1&#39;, on the right side of v1 and has leng...
Definition: MathUtils.cpp:576
double ANALYSIS_EXPORT cFDerBernsteinPoly(int n, int i, double t)
Calculates the first derivative of a Bernstein polynomial with respect to the parameter t...
Definition: MathUtils.cpp:111
double ANALYSIS_EXPORT leftOf(QgsPoint *thepoint, QgsPoint *p1, QgsPoint *p2)
Returns whether &#39;thepoint&#39; is left or right of the line from &#39;p1&#39; to &#39;p2&#39;. Negativ values mean left a...
Definition: MathUtils.cpp:292
bool ANALYSIS_EXPORT lineIntersection(QgsPoint *p1, QgsPoint *p2, QgsPoint *p3, QgsPoint *p4)
Returns true, if line1 (p1 to p2) and line2 (p3 to p4) intersect. If the lines have an endpoint in co...
Definition: MathUtils.cpp:311
double ANALYSIS_EXPORT triArea(QgsPoint *pa, QgsPoint *pb, QgsPoint *pc)
Returns the area of a triangle. If the points are ordered counterclockwise, the value will be positiv...
Definition: MathUtils.cpp:419
bool ANALYSIS_EXPORT BarycentricToXY(double u, double v, double w, QgsPoint *p1, QgsPoint *p2, QgsPoint *p3, QgsPoint *result)
Definition: MathUtils.cpp:50
bool ANALYSIS_EXPORT calcBarycentricCoordinates(double x, double y, QgsPoint *p1, QgsPoint *p2, QgsPoint *p3, QgsPoint *result)
Calculates the barycentric coordinates of a point (x,y) with respect to p1, p2, p3 and stores the thr...
Definition: MathUtils.cpp:22
bool ANALYSIS_EXPORT inDiametral(QgsPoint *p1, QgsPoint *p2, QgsPoint *point)
Tests, whether &#39;point&#39; is inside the diametral circle through &#39;p1&#39; and &#39;p2&#39;.
Definition: MathUtils.cpp:266
double ANALYSIS_EXPORT angle(QgsPoint *p1, QgsPoint *p2, QgsPoint *p3, QgsPoint *p4)
Calculates the angle between two segments (in 2 dimension, z-values are ignored)
Definition: MathUtils.cpp:786
bool ANALYSIS_EXPORT pointInsideTriangle(double x, double y, QgsPoint *p1, QgsPoint *p2, QgsPoint *p3)
Returns true, if the point with coordinates x and y is inside (or at the edge) of the triangle p1...
Definition: MathUtils.cpp:680
bool ANALYSIS_EXPORT normalMinDistance(Vector3D *tangent, Vector3D *target, Vector3D *result)
Calculates a Vector orthogonal to &#39;tangent&#39; with length 1 and closest possible to result...
Definition: MathUtils.cpp:698
Class Vector3D represents a 3D-Vector, capable to store x-,y- and z-coordinates in double values...
Definition: Vector3D.h:33
bool ANALYSIS_EXPORT normalLeft(Vector3D *v1, Vector3D *result, double length)
Assigns the vector &#39;result&#39;, which is normal to the vector &#39;v1&#39;, on the left side of v1 and has lengt...
Definition: MathUtils.cpp:520
bool ANALYSIS_EXPORT circumcenter(QgsPoint *p1, QgsPoint *p2, QgsPoint *p3, QgsPoint *result)
Calculates the center of the circle passing through p1, p2 and p3. Returns true in case of success an...
Definition: MathUtils.cpp:116
double ANALYSIS_EXPORT distPointFromLine(QgsPoint *thepoint, QgsPoint *p1, QgsPoint *p2)
Calculates the (2 dimensional) distance from &#39;thepoint&#39; to the line defined by p1 and p2...
Definition: MathUtils.cpp:201
Point geometry type, with support for z-dimension and m-values.
Definition: qgspoint.h:37
double ANALYSIS_EXPORT planeTest(QgsPoint *test, QgsPoint *pt1, QgsPoint *pt2, QgsPoint *pt3)
Tests, if &#39;test&#39; is in the same plane as &#39;p1&#39;, &#39;p2&#39; and &#39;p3&#39; and returns the z-difference from the pl...
Definition: MathUtils.cpp:769
bool ANALYSIS_EXPORT inCircle(QgsPoint *testp, QgsPoint *p1, QgsPoint *p2, QgsPoint *p3)
Tests, whether &#39;testp&#39; is inside the circle through &#39;p1&#39;, &#39;p2&#39; and &#39;p3&#39;.
Definition: MathUtils.cpp:226
double ANALYSIS_EXPORT crossVec(QgsPoint *first, Vector3D *vec1, QgsPoint *second, Vector3D *vec2)
Calculates the intersection of the two vectors vec1 and vec2, which start at first(vec1) and second(v...
Definition: MathUtils.cpp:650
double ANALYSIS_EXPORT calcBernsteinPoly(int n, int i, double t)
Calculates the value of a Bernstein polynomial.
Definition: MathUtils.cpp:101
void ANALYSIS_EXPORT normalFromPoints(QgsPoint *p1, QgsPoint *p2, QgsPoint *p3, Vector3D *vec)
Calculates the normal vector of the plane through the points p1, p2 and p3 and assigns the result to ...
Definition: MathUtils.cpp:632
int ANALYSIS_EXPORT lower(int n, int i)
Lower function.
Definition: MathUtils.cpp:407
double ANALYSIS_EXPORT cFDerCubicHermitePoly(int n, int i, double t)
Calculates the first derivative of a cubic Hermite polynomial with respect to the parameter t...
Definition: MathUtils.cpp:466
double ANALYSIS_EXPORT calcCubicHermitePoly(int n, int i, double t)
Calculates the value of a cubic Hermite polynomial.
Definition: MathUtils.cpp:433
bool ANALYSIS_EXPORT derVec(const Vector3D *v1, const Vector3D *v2, Vector3D *result, double x, double y)
Calculates the z-component of a vector with coordinates &#39;x&#39; and &#39;y&#39;which is in the same tangent plane...
Definition: MathUtils.cpp:505
int ANALYSIS_EXPORT faculty(int n)
Faculty function.
Definition: MathUtils.cpp:221