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Mesh_3 demo: Replace Knot_3 function by Klein function.

This commit is contained in:
Stéphane Tayeb 2010-06-16 15:07:16 +00:00
parent 4d0e30fd74
commit fdb69bc827
2 changed files with 11 additions and 58 deletions
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2
Mesh_3/demo/Mesh_3/implicit_functions/CMakeLists.txt
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@ -60,7 +60,7 @@ if(CGAL_Qt4_FOUND AND QT4_FOUND)
polyhedron_demo_plugin(sphere_function_plugin Sphere_implicit_function) polyhedron_demo_plugin(sphere_function_plugin Sphere_implicit_function)
polyhedron_demo_plugin(tanglecube_function_plugin Tanglecube_implicit_function) polyhedron_demo_plugin(tanglecube_function_plugin Tanglecube_implicit_function)
polyhedron_demo_plugin(knot_function_plugin Knot_implicit_function) polyhedron_demo_plugin(klein_function_plugin Klein_implicit_function)
else (CGAL_Qt4_FOUND AND QT4_FOUND) else (CGAL_Qt4_FOUND AND QT4_FOUND)

67
Mesh_3/demo/Mesh_3/implicit_functions/Knot_implicit_function.cpp → Mesh_3/demo/Mesh_3/implicit_functions/Klein_implicit_function.cpp
View File

@ -24,10 +24,7 @@
#include <QObject> #include <QObject>
#include "Implicit_function_interface.h" #include "Implicit_function_interface.h"
class Klein_implicit_function :
void puiss(double& x, double& y, int n);
class Knot3_implicit_function :
public QObject, public QObject,
public Implicit_function_interface public Implicit_function_interface
{ {
@ -35,67 +32,23 @@ class Knot3_implicit_function :
Q_INTERFACES(Implicit_function_interface); Q_INTERFACES(Implicit_function_interface);
public: public:
virtual QString name() const { return "Knot3 function"; } virtual QString name() const { return "Klein function"; }
virtual double operator()(double a, double b, double c) const virtual double operator()(double x, double y, double z) const
{ {
double e=0.025; return (x*x+y*y+z*z+2*y-1)
* ( (x*x+y*y+z*z-2*y-1) *(x*x+y*y+z*z-2*y-1)-8*z*z)
double x, y, z, t, den; + 16*x*z* (x*x+y*y+z*z-2*y-1);
den=1+a*a+b*b+c*c;
x=2*a/den;
y=2*b/den;
z=2*c/den;
t=(1-a*a-b*b-c*c)/den;
double x19=x, y19=y, z17=z, t17=t;
puiss(x19,y19,19);
puiss(z17,t17,17);
double f1 = z17-x19;
double f2 = t17-y19;
f1 = f1*f1;
f2 = f2*f2;
e=e*e/(den-1);
return f1+f2-e;
} }
virtual Bbox bbox() const virtual Bbox bbox() const
{ {
const double radius = 4.; const double radius = 6.;
double r = radius * 1.2; double r = radius * 1.1;
return Bbox(-r,-r,-r,r,r,r); return Bbox(-r,-r,-r,r,r,r);
} }
}; };
void puiss(double& x, double& y, int n) {
double xx = 1, yy = 0;
while(n>0) {
if (n&1) {
double xxx = xx, yyy = yy;
xx = xxx*x - yyy*y;
yy = xxx*y + yyy*x;
}
double xxx = x, yyy = y;
x=xxx*xxx-yyy*yyy;
y=2*xxx*yyy;
n/=2;
}
x = xx;
y = yy;
}
#include <QtPlugin> #include <QtPlugin>
Q_EXPORT_PLUGIN2(Knot3_implicit_function, Knot3_implicit_function); Q_EXPORT_PLUGIN2(Klein_implicit_function, Klein_implicit_function);
#include "Knot_implicit_function.moc" #include "Klein_implicit_function.moc"