gmshSurface.cpp

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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.
 
#include "GmshConfig.h"
#include "GmshMessage.h"
#include "gmshSurface.h"
#include "mathEvaluator.h"
 
std::map<int, gmshSurface *> gmshSurface::allGmshSurfaces;
 
SPoint2 gmshSurface::parFromPoint(double x, double y, double z)
{
  Msg::Error("Parametric coordinate computation not implemented for this type "
             "of surface");
  return SPoint2();
}
 
SVector3 gmshSurface::normal(const SPoint2 &param) const
{
  Msg::Error("Normal computation not implemented for this type of surface");
  return SVector3();
}
 
Pair<SVector3, SVector3> gmshSurface::firstDer(const SPoint2 &param)
{
  Msg::Error("First derivative not implemented for this type of surface");
  return Pair<SVector3, SVector3>();
}
 
double gmshSurface::getMetricEigenvalue(const SPoint2 &)
{
  Msg::Error("Metric eigenvalue not implemented for this type of surface");
  return 0;
}
 
gmshSurface *gmshSphere::NewSphere(int iSphere, double x, double y, double z,
                                   double r)
{
  gmshSphere *sph = new gmshSphere(x, y, z, r);
 
  if(allGmshSurfaces.find(iSphere) != allGmshSurfaces.end()) {
    Msg::Error("Surface %d already exists", iSphere);
  }
 
  allGmshSurfaces[iSphere] = sph;
  return sph;
}
 
gmshSurface *gmshSurface::getSurface(int iSurface)
{
  auto it = allGmshSurfaces.find(iSurface);
  if(it == allGmshSurfaces.end()) {
    Msg::Error("Surface %d does not exist", iSurface);
    return nullptr;
  }
  return it->second;
}
 
SPoint3 gmshSphere::point(double par1, double par2) const
{
  par2 += M_PI * .5;
  const double x = xc + r * sin(par2) * cos(par1);
  const double y = yc + r * sin(par2) * sin(par1);
  const double z = zc - r * cos(par2);
  return SPoint3(x, y, z);
}
 
gmshSurface *gmshPolarSphere::NewPolarSphere(int iSphere, double x, double y,
                                             double z, double r)
{
  gmshPolarSphere *sph = new gmshPolarSphere(x, y, z, r);
 
  if(allGmshSurfaces.find(iSphere) != allGmshSurfaces.end()) {
    Msg::Error("Surface %d already exists", iSphere);
  }
 
  allGmshSurfaces[iSphere] = sph;
  return sph;
}
 
gmshPolarSphere::gmshPolarSphere(double x, double y, double z, double _r)
  : r(_r), o(x, y, z)
{
}
 
SPoint3 gmshPolarSphere::point(double u, double v) const
{
  // stereographic projection from the south pole, origin of the axis
  // at the center of the sphere
  // u=-x/(r+z) v=-y/(r+z)
  double rp2 = u * u + v * v;
  SPoint3 p(-2 * r * u / (1 + rp2), -2 * r * v / (1 + rp2),
            r * (1 - rp2) / (1 + rp2));
  p += o;
  return p;
}
 
gmshSurface *gmshParametricSurface::NewParametricSurface(int iSurf,
                                                         const char *valX,
                                                         const char *valY,
                                                         const char *valZ)
{
  gmshParametricSurface *sph = new gmshParametricSurface(valX, valY, valZ);
 
  if(allGmshSurfaces.find(iSurf) != allGmshSurfaces.end()) {
    Msg::Error("Surface %d already exists", iSurf);
  }
  allGmshSurfaces[iSurf] = sph;
  return sph;
}
 
gmshParametricSurface::gmshParametricSurface(const char *valX,
                                             const char *valY,
                                             const char *valZ)
{
  std::vector<std::string> expressions(3), variables(2);
  expressions[0] = valX;
  expressions[1] = valY;
  expressions[2] = valZ;
  variables[0] = "u";
  variables[1] = "v";
  _f = new mathEvaluator(expressions, variables);
  if(expressions.empty()) {
    delete _f;
    _f = nullptr;
  }
}
 
gmshParametricSurface::~gmshParametricSurface()
{
  if(_f) delete _f;
}
 
SPoint3 gmshParametricSurface::point(double par1, double par2) const
{
  if(_f) {
    std::vector<double> values(2), res(3);
    values[0] = par1;
    values[1] = par2;
    if(_f->eval(values, res)) return SPoint3(res[0], res[1], res[2]);
  }
  return SPoint3(0., 0., 0.);
}
 
Range<double> gmshParametricSurface::parBounds(int i) const
{
  Msg::Error("Parameter bounds not available for parametric surface");
  return Range<double>(0., 0.);
}