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Bezier3D.cpp
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Bezier3D.cpp
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/***************************************************************************
Bezier3D.cpp
------------
copyright : (C) 2004 by Marco Hugentobler
email : mhugent@geo.unizh.ch
***************************************************************************/
/***************************************************************************
* *
* This program is free software; you can redistribute it and/or modify *
* it under the terms of the GNU General Public License as published by *
* the Free Software Foundation; either version 2 of the License, or *
* (at your option) any later version. *
* *
***************************************************************************/
#include "Bezier3D.h"
#include "qgslogger.h"
#include "Vector3D.h"
#include "MathUtils.h"
void Bezier3D::calcFirstDer( float t, Vector3D *v )
{
if ( v && mControlPoly )
{
v->setX( 0 );
v->setY( 0 );
v->setZ( 0 );
if ( mControlPoly->count() < 2 )
{
return;
}
for ( int n = 1; n <= int( mControlPoly->count() - 1 ); n++ )
{
double bernst = MathUtils::calcBernsteinPoly( mControlPoly->count() - 2, n - 1, t );
v->setX( v->getX() + ( ( *mControlPoly )[n]->x() - ( *mControlPoly )[n - 1]->x() )*bernst );
v->setY( v->getY() + ( ( *mControlPoly )[n]->y() - ( *mControlPoly )[n - 1]->y() )*bernst );
v->setZ( v->getZ() + ( ( *mControlPoly )[n]->z() - ( *mControlPoly )[n - 1]->z() )*bernst );
}
v->setX( v->getX() * ( mControlPoly->count() - 1 ) );
v->setY( v->getY() * ( mControlPoly->count() - 1 ) );
v->setZ( v->getZ() * ( mControlPoly->count() - 1 ) );
}
else
{
QgsDebugMsg( QStringLiteral( "warning: null pointer" ) );
}
}
void Bezier3D::calcPoint( float t, QgsPoint *p )
{
if ( p && mControlPoly )
{
p->setX( 0 );
p->setY( 0 );
p->setZ( 0 );
for ( int n = 1; n <= int( mControlPoly->count() ); n++ )
{
double bernst = MathUtils::calcBernsteinPoly( mControlPoly->count() - 1, n - 1, t );
p->setX( p->x() + ( *mControlPoly )[n - 1]->x()*bernst );
p->setY( p->y() + ( *mControlPoly )[n - 1]->y()*bernst );
p->setZ( p->z() + ( *mControlPoly )[n - 1]->z()*bernst );
}
}
else
{
QgsDebugMsg( QStringLiteral( "warning: null pointer" ) );
}
}
void Bezier3D::calcSecDer( float t, Vector3D *v )
{
if ( v && mControlPoly )
{
v->setX( 0 );
v->setY( 0 );
v->setZ( 0 );
int nodes = mControlPoly->count();
if ( nodes < 3 )
{
return;
}
for ( int n = 1; n <= int( nodes - 2 ); n++ )
{
double bernst = MathUtils::calcBernsteinPoly( nodes - 3, n - 1, t );
v->setX( v->getX() + ( ( *mControlPoly )[n + 1]->x() - 2 * ( *mControlPoly )[n]->x() + ( *mControlPoly )[n - 1]->x() )*bernst );
v->setY( v->getY() + ( ( *mControlPoly )[n + 1]->y() - 2 * ( *mControlPoly )[n]->y() + ( *mControlPoly )[n - 1]->y() )*bernst );
v->setZ( v->getZ() + ( ( *mControlPoly )[n + 1]->z() - 2 * ( *mControlPoly )[n]->z() + ( *mControlPoly )[n - 1]->z() )*bernst );
}
v->setX( v->getX()*MathUtils::faculty( nodes - 1 ) / MathUtils::faculty( nodes - 3 ) );
v->setY( v->getY()*MathUtils::faculty( nodes - 1 ) / MathUtils::faculty( nodes - 3 ) );
v->setZ( v->getZ()*MathUtils::faculty( nodes - 1 ) / MathUtils::faculty( nodes - 3 ) );
}
else
{
QgsDebugMsg( QStringLiteral( "warning: null pointer" ) );
}
}
void Bezier3D::changeDirection()//does this work correctly? more testing is needed.
{
if ( mControlPoly )
{
QgsPoint **pointer = new QgsPoint*[mControlPoly->count()];//create an array to temporarily store pointer to the control points
for ( int i = 0; i < mControlPoly->count(); i++ )//store the points
{
pointer[i] = ( *mControlPoly )[i];
}
for ( int i = 0; i < mControlPoly->count(); i++ )
{
mControlPoly->insert( i, pointer[( mControlPoly->count() - 1 ) - i] );
}
delete [] pointer;
}
else
{
QgsDebugMsg( QStringLiteral( "warning: null pointer" ) );
}
}