// Gmsh - Copyright (C) 1997-2019 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.

#include "GmshConfig.h"
#include "MTetrahedron.h"
#include "Numeric.h"
#include "Context.h"
#include "BasisFactory.h"
#include "pointsGenerators.h"

#if defined(HAVE_MESH)
#include "qualityMeasures.h"
#include "meshGFaceDelaunayInsertion.h"
#include "meshGRegionDelaunayInsertion.h"
#endif

#define SQU(a) ((a) * (a))

std::map<int, IndicesReversed> MTetrahedronN::_order2indicesReversedTet;

void MTetrahedron::getEdgeRep(bool curved, int num, double *x, double *y,
                              double *z, SVector3 *n)
{
  // don't use MElement::_getEdgeRep: it's slow due to the creation of MFaces
  MVertex *v0 = _v[edges_tetra(num, 0)];
  MVertex *v1 = _v[edges_tetra(num, 1)];
  x[0] = v0->x();
  y[0] = v0->y();
  z[0] = v0->z();
  x[1] = v1->x();
  y[1] = v1->y();
  z[1] = v1->z();
  if(CTX::instance()->mesh.lightLines > 1) {
    static const int vv[6] = {2, 0, 1, 1, 0, 2};
    MVertex *v2 = _v[vv[num]];
    SVector3 t1(x[1] - x[0], y[1] - y[0], z[1] - z[0]);
    SVector3 t2(v2->x() - x[0], v2->y() - y[0], v2->z() - z[0]);
    SVector3 normal = crossprod(t1, t2);
    normal.normalize();
    n[0] = n[1] = normal;
  }
  else {
    n[0] = n[1] = SVector3(0., 0., 1.);
  }
}

SPoint3 MTetrahedron::circumcenter()
{
#if defined(HAVE_MESH)
  MTet4 t(this, 0);
  double res[3];
  t.circumcenter(res);
  return SPoint3(res[0], res[1], res[2]);
#else
  return SPoint3(0., 0., 0.);
#endif
}

double MTetrahedron::getCircumRadius()
{
#if defined(HAVE_MESH)
  SPoint3 center = circumcenter();
  const double dx = getVertex(0)->x() - center.x();
  const double dy = getVertex(0)->y() - center.y();
  const double dz = getVertex(0)->z() - center.z();
  double circum_radius = sqrt(dx * dx + dy * dy + dz * dz);
  return circum_radius;
#else
  return 0.0;
#endif
}

double MTetrahedron::getInnerRadius()
{
  // radius of inscribed sphere = 3 * Volume / sum(Area_i)
  double dist[3], face_area = 0.;
  double vol = getVolume();
  for(int i = 0; i < 4; i++) {
    MFace f = getFace(i);
    for(int j = 0; j < 3; j++) {
      MEdge e = f.getEdge(j);
      dist[j] = e.getVertex(0)->distance(e.getVertex(1));
    }
    face_area +=
      0.25 *
      sqrt((dist[0] + dist[1] + dist[2]) * (-dist[0] + dist[1] + dist[2]) *
           (dist[0] - dist[1] + dist[2]) * (dist[0] + dist[1] - dist[2]));
  }
  return 3 * vol / face_area;
}

double MTetrahedron::gammaShapeMeasure()
{
#if defined(HAVE_MESH)
  double vol;
  return qmTetrahedron::qm(this, qmTetrahedron::QMTET_GAMMA, &vol);
#else
  return 0.;
#endif
}

double MTetrahedron::etaShapeMeasure()
{
#if defined(HAVE_MESH)
  double vol;
  return qmTetrahedron::qm(this, qmTetrahedron::QMTET_ETA, &vol);
#else
  return 0.;
#endif
}

double MTetrahedron::getVolume()
{
  double mat[3][3];
  getMat(mat);
  return det3x3(mat) / 6.;
}

void MTetrahedron::xyz2uvw(double xyz[3], double uvw[3]) const
{
  double mat[3][3], b[3], det;
  getMat(mat);
  b[0] = xyz[0] - getVertex(0)->x();
  b[1] = xyz[1] - getVertex(0)->y();
  b[2] = xyz[2] - getVertex(0)->z();
  sys3x3(mat, b, uvw, &det);
}

int MTetrahedron::numCommonNodesInDualGraph(const MElement *const other) const
{
  switch(other->getType()) {
  case TYPE_PNT: return 1;
  case TYPE_LIN: return 2;
  case TYPE_QUA: return 4;
  default: return 3;
  }
}

int MTetrahedron10::getNumEdgesRep(bool curved)
{
  return curved ? 6 * CTX::instance()->mesh.numSubEdges : 6;
}

int MTetrahedronN::getNumEdgesRep(bool curved)
{
  return curved ? 6 * CTX::instance()->mesh.numSubEdges : 6;
}

static void _myGetEdgeRep(MTetrahedron *tet, int num, double *x, double *y,
                          double *z, SVector3 *n, int numSubEdges)
{
  static double pp[4][3] = {{0, 0, 0}, {1, 0, 0}, {0, 1, 0}, {0, 0, 1}};
  static int ed[6][2] = {{0, 1}, {0, 2}, {0, 3}, {1, 2}, {1, 3}, {2, 3}};
  int iEdge = num / numSubEdges;
  int iSubEdge = num % numSubEdges;

  int iVertex1 = ed[iEdge][0];
  int iVertex2 = ed[iEdge][1];
  double t1 = (double)iSubEdge / (double)numSubEdges;
  double u1 = pp[iVertex1][0] * (1. - t1) + pp[iVertex2][0] * t1;
  double v1 = pp[iVertex1][1] * (1. - t1) + pp[iVertex2][1] * t1;
  double w1 = pp[iVertex1][2] * (1. - t1) + pp[iVertex2][2] * t1;

  double t2 = (double)(iSubEdge + 1) / (double)numSubEdges;
  double u2 = pp[iVertex1][0] * (1. - t2) + pp[iVertex2][0] * t2;
  double v2 = pp[iVertex1][1] * (1. - t2) + pp[iVertex2][1] * t2;
  double w2 = pp[iVertex1][2] * (1. - t2) + pp[iVertex2][2] * t2;

  SPoint3 pnt1, pnt2;
  tet->pnt(u1, v1, w1, pnt1);
  tet->pnt(u2, v2, w2, pnt2);
  x[0] = pnt1.x();
  x[1] = pnt2.x();
  y[0] = pnt1.y();
  y[1] = pnt2.y();
  z[0] = pnt1.z();
  z[1] = pnt2.z();

  // not great, but better than nothing
  static const int f[6] = {0, 0, 0, 1, 2, 3};
  n[0] = n[1] = tet->getFace(f[iEdge]).normal();
}

void MTetrahedron10::getEdgeRep(bool curved, int num, double *x, double *y,
                                double *z, SVector3 *n)
{
  if(curved)
    _myGetEdgeRep(this, num, x, y, z, n, CTX::instance()->mesh.numSubEdges);
  else
    MTetrahedron::getEdgeRep(false, num, x, y, z, n);
}

void MTetrahedronN::getEdgeRep(bool curved, int num, double *x, double *y,
                               double *z, SVector3 *n)
{
  if(curved)
    _myGetEdgeRep(this, num, x, y, z, n, CTX::instance()->mesh.numSubEdges);
  else
    MTetrahedron::getEdgeRep(false, num, x, y, z, n);
}

int MTetrahedronN::getNumFacesRep(bool curved)
{
  return curved ? 4 * SQU(CTX::instance()->mesh.numSubEdges) : 4;
}

int MTetrahedron10::getNumFacesRep(bool curved)
{
  return curved ? 4 * SQU(CTX::instance()->mesh.numSubEdges) : 4;
}

static void _myGetFaceRep(MTetrahedron *tet, int num, double *x, double *y,
                          double *z, SVector3 *n, int numSubEdges)
{
  static double pp[4][3] = {{0, 0, 0}, {1, 0, 0}, {0, 1, 0}, {0, 0, 1}};
  static int fak[4][3] = {{0, 2, 1}, {0, 1, 3}, {0, 3, 2}, {1, 2, 3}};
  int iFace = num / (numSubEdges * numSubEdges);
  int iSubFace = num % (numSubEdges * numSubEdges);

  int iVertex1 = fak[iFace][0];
  int iVertex2 = fak[iFace][1];
  int iVertex3 = fak[iFace][2];

  /*
    0
    0 1
    0 1 2
    0 1 2 3
    0 1 2 3 4
    0 1 2 3 4 5
  */

  // on the first layer, we have (numSubEdges-1) * 2 + 1 triangles
  // on the second layer, we have (numSubEdges-2) * 2 + 1 triangles
  // on the ith layer, we have (numSubEdges-1-i) * 2 + 1 triangles
  int ix = 0, iy = 0;
  int nbt = 0;
  for(int i = 0; i < numSubEdges; i++) {
    int nbl = (numSubEdges - i - 1) * 2 + 1;
    nbt += nbl;
    if(nbt > iSubFace) {
      iy = i;
      ix = nbl - (nbt - iSubFace);
      break;
    }
  }

  const double d = 1. / numSubEdges;

  SPoint3 pnt1, pnt2, pnt3;
  double u1, v1, u2, v2, u3, v3;
  if(ix % 2 == 0) {
    u1 = ix / 2 * d;
    v1 = iy * d;
    u2 = (ix / 2 + 1) * d;
    v2 = iy * d;
    u3 = ix / 2 * d;
    v3 = (iy + 1) * d;
  }
  else {
    u1 = (ix / 2 + 1) * d;
    v1 = iy * d;
    u2 = (ix / 2 + 1) * d;
    v2 = (iy + 1) * d;
    u3 = ix / 2 * d;
    v3 = (iy + 1) * d;
  }

  double U1 = pp[iVertex1][0] * (1. - u1 - v1) + pp[iVertex2][0] * u1 +
              pp[iVertex3][0] * v1;
  double U2 = pp[iVertex1][0] * (1. - u2 - v2) + pp[iVertex2][0] * u2 +
              pp[iVertex3][0] * v2;
  double U3 = pp[iVertex1][0] * (1. - u3 - v3) + pp[iVertex2][0] * u3 +
              pp[iVertex3][0] * v3;

  double V1 = pp[iVertex1][1] * (1. - u1 - v1) + pp[iVertex2][1] * u1 +
              pp[iVertex3][1] * v1;
  double V2 = pp[iVertex1][1] * (1. - u2 - v2) + pp[iVertex2][1] * u2 +
              pp[iVertex3][1] * v2;
  double V3 = pp[iVertex1][1] * (1. - u3 - v3) + pp[iVertex2][1] * u3 +
              pp[iVertex3][1] * v3;

  double W1 = pp[iVertex1][2] * (1. - u1 - v1) + pp[iVertex2][2] * u1 +
              pp[iVertex3][2] * v1;
  double W2 = pp[iVertex1][2] * (1. - u2 - v2) + pp[iVertex2][2] * u2 +
              pp[iVertex3][2] * v2;
  double W3 = pp[iVertex1][2] * (1. - u3 - v3) + pp[iVertex2][2] * u3 +
              pp[iVertex3][2] * v3;

  tet->pnt(U1, V1, W1, pnt1);
  tet->pnt(U2, V2, W2, pnt2);
  tet->pnt(U3, V3, W3, pnt3);

  x[0] = pnt1.x();
  x[1] = pnt2.x();
  x[2] = pnt3.x();
  y[0] = pnt1.y();
  y[1] = pnt2.y();
  y[2] = pnt3.y();
  z[0] = pnt1.z();
  z[1] = pnt2.z();
  z[2] = pnt3.z();

  SVector3 d1(x[1] - x[0], y[1] - y[0], z[1] - z[0]);
  SVector3 d2(x[2] - x[0], y[2] - y[0], z[2] - z[0]);
  n[0] = crossprod(d1, d2);
  n[0].normalize();
  n[1] = n[0];
  n[2] = n[0];
}

void MTetrahedronN::getFaceRep(bool curved, int num, double *x, double *y,
                               double *z, SVector3 *n)
{
  if(curved)
    _myGetFaceRep(this, num, x, y, z, n, CTX::instance()->mesh.numSubEdges);
  else
    MTetrahedron::getFaceRep(false, num, x, y, z, n);
}

void MTetrahedron10::getFaceRep(bool curved, int num, double *x, double *y,
                                double *z, SVector3 *n)
{
  if(curved)
    _myGetFaceRep(this, num, x, y, z, n, CTX::instance()->mesh.numSubEdges);
  else
    MTetrahedron::getFaceRep(false, num, x, y, z, n);
}

void MTetrahedron::getIntegrationPoints(int pOrder, int *npts, IntPt **pts)
{
  *npts = getNGQTetPts(pOrder);
  *pts = getGQTetPts(pOrder);
}

bool MTetrahedron::getFaceInfo(const MFace &face, int &ithFace, int &sign,
                               int &rot) const
{
  for(ithFace = 0; ithFace < 4; ithFace++) {
    if(_getFaceInfo(getFace(ithFace), face, sign, rot)) return true;
  }
  Msg::Error("Could not get face information for tetrahedron %d", getNum());
  return false;
}

void _getIndicesReversedTet(int order, IndicesReversed &indices)
{
  fullMatrix<double> ref = gmshGenerateMonomialsTetrahedron(order);

  indices.resize(ref.size1());
  for(int i = 0; i < ref.size1(); ++i) {
    const double u = ref(i, 0);
    const double v = ref(i, 1);
    const double w = ref(i, 2);
    for(int j = 0; j < ref.size1(); ++j) {
      if(u == ref(j, 1) && v == ref(j, 0) && w == ref(j, 2)) {
        indices[i] = j;
        break;
      }
    }
  }
}

void MTetrahedronN::reverse()
{
  std::map<int, IndicesReversed>::iterator it;
  it = _order2indicesReversedTet.find(_order);
  if(it == _order2indicesReversedTet.end()) {
    IndicesReversed indices;
    _getIndicesReversedTet(_order, indices);
    _order2indicesReversedTet[_order] = indices;
    it = _order2indicesReversedTet.find(_order);
  }

  IndicesReversed &indices = it->second;

  // copy vertices
  std::vector<MVertex *> oldv(4 + _vs.size());
  std::copy(_v, _v + 4, oldv.begin());
  std::copy(_vs.begin(), _vs.end(), oldv.begin() + 4);

  // reverse
  for(int i = 0; i < 4; ++i) {
    _v[i] = oldv[indices[i]];
  }
  for(unsigned int i = 0; i < _vs.size(); ++i) {
    _vs[i] = oldv[indices[4 + i]];
  }
}
