QGIS API Documentation 3.28.0-Firenze (ed3ad0430f)
Bezier3D.cpp
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1/***************************************************************************
2 Bezier3D.cpp
3 ------------
4 copyright : (C) 2004 by Marco Hugentobler
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#include "Bezier3D.h"
18#include "qgslogger.h"
19#include "Vector3D.h"
20#include "MathUtils.h"
21
23{
24 if ( v && mControlPoly )
25 {
26 v->setX( 0 );
27 v->setY( 0 );
28 v->setZ( 0 );
29
30 if ( mControlPoly->count() < 2 )
31 {
32 return;
33 }
34
35 for ( int n = 1; n <= int( mControlPoly->count() - 1 ); n++ )
36 {
37 const double bernst = MathUtils::calcBernsteinPoly( mControlPoly->count() - 2, n - 1, t );
38 v->setX( v->getX() + ( ( *mControlPoly )[n]->x() - ( *mControlPoly )[n - 1]->x() )*bernst );
39 v->setY( v->getY() + ( ( *mControlPoly )[n]->y() - ( *mControlPoly )[n - 1]->y() )*bernst );
40 v->setZ( v->getZ() + ( ( *mControlPoly )[n]->z() - ( *mControlPoly )[n - 1]->z() )*bernst );
41 }
42 v->setX( v->getX() * ( mControlPoly->count() - 1 ) );
43 v->setY( v->getY() * ( mControlPoly->count() - 1 ) );
44 v->setZ( v->getZ() * ( mControlPoly->count() - 1 ) );
45 }
46
47 else
48 {
49 QgsDebugMsg( QStringLiteral( "warning: null pointer" ) );
50 }
51}
52
53void Bezier3D::calcPoint( float t, QgsPoint *p )
54{
55
56 if ( p && mControlPoly )
57 {
58 p->setX( 0 );
59 p->setY( 0 );
60 p->setZ( 0 );
61
62 for ( int n = 1; n <= int( mControlPoly->count() ); n++ )
63 {
64 const double bernst = MathUtils::calcBernsteinPoly( mControlPoly->count() - 1, n - 1, t );
65 p->setX( p->x() + ( *mControlPoly )[n - 1]->x()*bernst );
66 p->setY( p->y() + ( *mControlPoly )[n - 1]->y()*bernst );
67 p->setZ( p->z() + ( *mControlPoly )[n - 1]->z()*bernst );
68 }
69 }
70
71 else
72 {
73 QgsDebugMsg( QStringLiteral( "warning: null pointer" ) );
74 }
75}
76
77void Bezier3D::calcSecDer( float t, Vector3D *v )
78{
79 if ( v && mControlPoly )
80 {
81 v->setX( 0 );
82 v->setY( 0 );
83 v->setZ( 0 );
84
85 const int nodes = mControlPoly->count();
86 if ( nodes < 3 )
87 {
88 return;
89 }
90
91 for ( int n = 1; n <= int( nodes - 2 ); n++ )
92 {
93 const double bernst = MathUtils::calcBernsteinPoly( nodes - 3, n - 1, t );
94 v->setX( v->getX() + ( ( *mControlPoly )[n + 1]->x() - 2 * ( *mControlPoly )[n]->x() + ( *mControlPoly )[n - 1]->x() )*bernst );
95 v->setY( v->getY() + ( ( *mControlPoly )[n + 1]->y() - 2 * ( *mControlPoly )[n]->y() + ( *mControlPoly )[n - 1]->y() )*bernst );
96 v->setZ( v->getZ() + ( ( *mControlPoly )[n + 1]->z() - 2 * ( *mControlPoly )[n]->z() + ( *mControlPoly )[n - 1]->z() )*bernst );
97 }
98 v->setX( v->getX()*MathUtils::faculty( nodes - 1 ) / MathUtils::faculty( nodes - 3 ) );
99 v->setY( v->getY()*MathUtils::faculty( nodes - 1 ) / MathUtils::faculty( nodes - 3 ) );
100 v->setZ( v->getZ()*MathUtils::faculty( nodes - 1 ) / MathUtils::faculty( nodes - 3 ) );
101 }
102
103 else
104 {
105 QgsDebugMsg( QStringLiteral( "warning: null pointer" ) );
106 }
107}
108
109
110void Bezier3D::changeDirection()//does this work correctly? more testing is needed.
111{
112 if ( mControlPoly )
113 {
114 QgsPoint **pointer = new QgsPoint*[mControlPoly->count()];//create an array to temporarily store pointer to the control points
115 for ( int i = 0; i < mControlPoly->count(); i++ )//store the points
116 {
117 pointer[i] = ( *mControlPoly )[i];
118 }
119
120 for ( int i = 0; i < mControlPoly->count(); i++ )
121 {
122 mControlPoly->insert( i, pointer[( mControlPoly->count() - 1 ) - i] );
123 }
124 delete [] pointer;
125 }
126
127 else
128 {
129 QgsDebugMsg( QStringLiteral( "warning: null pointer" ) );
130 }
131}
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void calcPoint(float t, QgsPoint *p) override
Calculates the point on the curve and assigns it to p.
Definition: Bezier3D.cpp:53
void calcFirstDer(float t, Vector3D *v) override
Calculates the first derivative and assigns it to v.
Definition: Bezier3D.cpp:22
void changeDirection() override
Changes the order of control points.
Definition: Bezier3D.cpp:110
void calcSecDer(float t, Vector3D *v) override
Calculates the second derivative and assigns it to v.
Definition: Bezier3D.cpp:77
QVector< QgsPoint * > * mControlPoly
MControlPoly stores the points of the control polygon.
Point geometry type, with support for z-dimension and m-values.
Definition: qgspoint.h:49
void setX(double x) SIP_HOLDGIL
Sets the point's x-coordinate.
Definition: qgspoint.h:280
Q_GADGET double x
Definition: qgspoint.h:52
void setY(double y) SIP_HOLDGIL
Sets the point's y-coordinate.
Definition: qgspoint.h:291
void setZ(double z) SIP_HOLDGIL
Sets the point's z-coordinate.
Definition: qgspoint.h:304
double z
Definition: qgspoint.h:54
double y
Definition: qgspoint.h:53
Class Vector3D represents a 3D-Vector, capable to store x-,y- and z-coordinates in double values.
Definition: Vector3D.h:36
void setX(double x)
Sets the x-component of the vector.
Definition: Vector3D.h:106
double getY() const
Returns the y-component of the vector.
Definition: Vector3D.h:96
double getX() const
Returns the x-component of the vector.
Definition: Vector3D.h:91
void setY(double y)
Sets the y-component of the vector.
Definition: Vector3D.h:111
double getZ() const
Returns the z-component of the vector.
Definition: Vector3D.h:101
void setZ(double z)
Sets the z-component of the vector.
Definition: Vector3D.h:116
double ANALYSIS_EXPORT calcBernsteinPoly(int n, int i, double t)
Calculates the value of a Bernstein polynomial.
Definition: MathUtils.cpp:101
int ANALYSIS_EXPORT faculty(int n)
Faculty function.
Definition: MathUtils.cpp:221
#define QgsDebugMsg(str)
Definition: qgslogger.h:38