intersectCurveSurface.h

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// Gmsh - Copyright (C) 1997-2022 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file in the Gmsh root directory for license information.
// Please report all issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
 
#ifndef INTERSECT_CURVE_SURFACE
#define INTERSECT_CURVE_SURFACE
 
// Intersection of a curve and a surface using newton's method
// FD are used to compute derivatives of the parametrizations
#include <cmath>
#include "SPoint3.h"
#include "SVector3.h"
#include "GFace.h"
#include "GEdge.h"
 
class surfaceFunctor {
public:
  virtual ~surfaceFunctor() {}
  virtual SPoint3 operator()(double u, double v) const = 0;
};
 
class curveFunctor {
public:
  virtual ~curveFunctor() {}
  virtual SPoint3 operator()(double t) const = 0;
};
 
class surfaceFunctorGFace : public surfaceFunctor {
  const GFace *gf;
 
public:
  surfaceFunctorGFace(const GFace *_gf) : gf(_gf) {}
  virtual SPoint3 operator()(double u, double v) const
  {
    GPoint gp = gf->point(u, v);
    return SPoint3(gp.x(), gp.y(), gp.z());
  }
};
 
class curveFunctorGEdge : public curveFunctor {
  const GEdge *ge;
 
public:
  curveFunctorGEdge(const GEdge *_ge) : ge(_ge) {}
  virtual SPoint3 operator()(double t) const
  {
    GPoint gp = ge->point(t);
    return SPoint3(gp.x(), gp.y(), gp.z());
  }
};
 
class curveFunctorCircle : public curveFunctor {
  SVector3 n1, n2;
  SVector3 middle;
  double d;
 
public:
  curveFunctorCircle(const SVector3 &_n1, const SVector3 &_n2,
                     const SVector3 &_middle, const double &_d)
    : n1(_n1), n2(_n2), middle(_middle), d(_d)
  {
  }
  virtual SPoint3 operator()(double t) const
  {
    SVector3 dir = (n1 * cos(t) + n2 * sin(t)) * d;
    return SPoint3(middle.x() + dir.x(), middle.y() + dir.y(),
                   middle.z() + dir.z());
  }
};
 
class surfaceFunctorPlane : public surfaceFunctor {
  const SPoint3 p;
  const SVector3 v1, v2;
 
public:
  surfaceFunctorPlane(const SPoint3 &_p, const SVector3 &_v1,
                      const SVector3 &_v2)
    : p(_p), v1(_v1), v2(_v2)
  {
  }
  virtual SPoint3 operator()(double u, double v) const
  {
    return SPoint3(p.x() + u * v1.x() + v * v2.x(),
                   p.y() + u * v1.y() + v * v2.y(),
                   p.z() + u * v1.z() + v * v2.z());
  }
};
 
// intersects the curve and the surface using Newton.
// the initial guess should be a good guess
// returns 1 --> OK
// returns 0 --> NOT CONVERGED
int intersectCurveSurface(curveFunctor &c, surfaceFunctor &s, double uvt[3],
                          double epsilon);
 
#endif