/*=========================================================================

  Program:   Visualization Toolkit
  Module:    vtkParametricFunctionSource.cxx

  Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
  All rights reserved.
  See Copyright.txt or http://www.kitware.com/Copyright.htm for details.

     This software is distributed WITHOUT ANY WARRANTY; without even
     the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
     PURPOSE.  See the above copyright notice for more information.

=========================================================================*/
#include "vtkParametricFunctionSource.h"
#include "vtkCellArray.h"
#include "vtkFloatArray.h"
#include "vtkInformation.h"
#include "vtkInformationVector.h"
#include "vtkMath.h"
#include "vtkObjectFactory.h"
#include "vtkParametricFunction.h"
#include "vtkPointData.h"
#include "vtkPoints.h"
#include "vtkPolyData.h"
#include "vtkPolyDataNormals.h"
#include "vtkSmartPointer.h"
#include "vtkTriangleFilter.h"

#include <cmath>
#include <string>

vtkStandardNewMacro(vtkParametricFunctionSource);
vtkCxxSetObjectMacro(vtkParametricFunctionSource, ParametricFunction, vtkParametricFunction);

//----------------------------------------------------------------------------
vtkParametricFunctionSource::vtkParametricFunctionSource()
  : ParametricFunction(nullptr)
  , UResolution(50)
  , VResolution(50)
  , WResolution(50)
  , GenerateTextureCoordinates(0)
  , ScalarMode(vtkParametricFunctionSource::SCALAR_NONE)
  , OutputPointsPrecision(vtkAlgorithm::SINGLE_PRECISION)
{
  this->SetNumberOfInputPorts(0);
  this->GenerateNormals = 1;
}

//----------------------------------------------------------------------------
vtkParametricFunctionSource::~vtkParametricFunctionSource()
{
  this->SetParametricFunction(nullptr);
}

namespace
{
/**
 * Make the cells containing the ordered point Ids.
 *
 */
void AddTriCells(vtkCellArray* cellArray, int id1, int id2, int id3, int id4, bool clockwise)
{
  cellArray->InsertNextCell(3);
  if (clockwise)
  {
    cellArray->InsertCellPoint(id1);
    cellArray->InsertCellPoint(id2);
    cellArray->InsertCellPoint(id3);
    cellArray->InsertNextCell(3);
    cellArray->InsertCellPoint(id1);
    cellArray->InsertCellPoint(id3);
    cellArray->InsertCellPoint(id4);
  }
  else
  {
    cellArray->InsertCellPoint(id1);
    cellArray->InsertCellPoint(id3);
    cellArray->InsertCellPoint(id2);
    cellArray->InsertNextCell(3);
    cellArray->InsertCellPoint(id1);
    cellArray->InsertCellPoint(id4);
    cellArray->InsertCellPoint(id3);
  }
}

} // anonymous namespace

//----------------------------------------------------------------------------
void vtkParametricFunctionSource::MakeTriangles(vtkCellArray* cells, int PtsU, int PtsV)
{
  int id1 = 0;
  int id2 = 0;
  int id3 = 0;
  int id4 = 0;

  vtkDebugMacro(<< "Executing MakeTriangles()");

  bool clockwise = (this->ParametricFunction->GetClockwiseOrdering() != 0);

  vtkIdType numCells = (PtsU + this->ParametricFunction->GetJoinU() - 1) *
    (PtsV + this->ParametricFunction->GetJoinV() - 1) * 2;
  cells->AllocateExact(numCells, numCells * 3);

  for (int i = 0; i < PtsU - 1; ++i)
  {
    // Fill the allocated space with the indexes to the points.
    for (int j = 0; j < PtsV - 1; ++j)
    {
      id1 = j + i * PtsV;
      id2 = id1 + PtsV;
      id3 = id2 + 1;
      id4 = id1 + 1;
      AddTriCells(cells, id1, id2, id3, id4, clockwise);
    }
    // If necessary, connect the ends of the triangle strip.
    if (this->ParametricFunction->GetJoinV())
    {
      id1 = id4;
      id2 = id3;
      if (this->ParametricFunction->GetTwistV())
      {
        id3 = (i + 1) * PtsV;
        id4 = i * PtsV;
      }
      else
      {
        id3 = i * PtsV;
        id4 = (i + 1) * PtsV;
      }
      AddTriCells(cells, id1, id2, id3, id4, clockwise);
    }
  }
  // If required, connect the last triangle strip to the first by
  // adding a new triangle strip and filling it with the indexes
  // to the points.
  if (this->ParametricFunction->GetJoinU())
  {
    for (int j = 0; j < PtsV - 1; ++j)
    {
      id1 = j + (PtsU - 1) * PtsV;
      id3 = id1 + 1;
      if (this->ParametricFunction->GetTwistU())
      {
        id2 = PtsV - 1 - j;
        id4 = id2 - 1;
      }
      else
      {
        id2 = j;
        id4 = id2 + 1;
      }
      AddTriCells(cells, id1, id2, id3, id4, clockwise);
    }

    // If necessary, connect the ends of the triangle strip.
    if (this->ParametricFunction->GetJoinV())
    {
      id1 = id3;
      id2 = id4;
      if (this->ParametricFunction->GetTwistU())
      {
        if (this->ParametricFunction->GetTwistV())
        {
          id3 = PtsV - 1;
          id4 = (PtsU - 1) * PtsV;
        }
        else
        {
          id3 = (PtsU - 1) * PtsV;
          id4 = PtsV - 1;
        }
      }
      else
      {
        if (this->ParametricFunction->GetTwistV())
        {
          id3 = 0;
          id4 = (PtsU - 1) * PtsV;
        }
        else
        {
          id3 = (PtsU - 1) * PtsV;
          id4 = 0;
        }
      }
      AddTriCells(cells, id1, id2, id3, id4, clockwise);
    }
  }
  cells->Modified();
  vtkDebugMacro(<< "MakeTriangles() finished.");
}

//----------------------------------------------------------------------------
int vtkParametricFunctionSource::RequestData(vtkInformation* vtkNotUsed(info),
  vtkInformationVector** vtkNotUsed(inputV), vtkInformationVector* output)
{
  vtkDebugMacro(<< "Executing");

  // Check that a parametric function has been defined
  if (!this->ParametricFunction)
  {
    vtkErrorMacro(<< "Parametric function not defined");
    return 1;
  }

  switch (this->ParametricFunction->GetDimension())
  {
    case 1:
      this->Produce1DOutput(output);
      break;
    case 2:
      this->Produce2DOutput(output);
      break;
    default:
      vtkErrorMacro("Functions of dimension " << this->ParametricFunction->GetDimension()
                                              << " are not supported.");
  }

  return 1;
}

//----------------------------------------------------------------------------
void vtkParametricFunctionSource::Produce1DOutput(vtkInformationVector* output)
{
  vtkIdType numPts = this->UResolution + 1;
  vtkSmartPointer<vtkCellArray> lines = vtkSmartPointer<vtkCellArray>::New();
  vtkSmartPointer<vtkPoints> pts = vtkSmartPointer<vtkPoints>::New();

  // Set the desired precision for the points in the output.
  if (this->OutputPointsPrecision == vtkAlgorithm::DOUBLE_PRECISION)
  {
    pts->SetDataType(VTK_DOUBLE);
  }
  else
  {
    pts->SetDataType(VTK_FLOAT);
  }

  pts->SetNumberOfPoints(numPts);
  vtkIdType i;
  double x[3], Du[3], t[3];

  lines->AllocateEstimate(1, numPts);
  lines->InsertNextCell(numPts);

  // Insert points and cell points
  for (i = 0; i < numPts; i++)
  {
    t[0] = (double)i / this->UResolution;
    this->ParametricFunction->Evaluate(t, x, Du);
    pts->SetPoint(i, x);
    lines->InsertCellPoint(i);
  }

  vtkInformation* outInfo = output->GetInformationObject(0);
  vtkPolyData* outData = static_cast<vtkPolyData*>(outInfo->Get(vtkDataObject::DATA_OBJECT()));
  outData->SetPoints(pts);
  outData->SetLines(lines);
}

//----------------------------------------------------------------------------
void vtkParametricFunctionSource::Produce2DOutput(vtkInformationVector* output)
{
  // Adjust so the ranges:
  // this->MinimumU ... this->ParametricFunction->GetMaximumU(),
  // this->MinimumV ... this->ParametricFunction->GetMaximumV()
  // are included in the triangulation.
  double MaxU = this->ParametricFunction->GetMaximumU() +
    (this->ParametricFunction->GetMaximumU() - this->ParametricFunction->GetMinimumU()) /
      (this->UResolution - 1);
  int PtsU = this->UResolution;
  double MaxV = this->ParametricFunction->GetMaximumV() +
    (this->ParametricFunction->GetMaximumV() - this->ParametricFunction->GetMinimumV()) /
      (this->VResolution - 1);
  int PtsV = this->VResolution;
  int totPts = PtsU * PtsV;

  // Scalars associated with each point
  vtkSmartPointer<vtkFloatArray> sval = vtkSmartPointer<vtkFloatArray>::New();
  if (this->ScalarMode != SCALAR_NONE)
  {
    sval->SetNumberOfTuples(totPts);
    sval->SetName("Scalars");
  }

  // The normals to the surface
  vtkSmartPointer<vtkFloatArray> nval = vtkSmartPointer<vtkFloatArray>::New();
  if (this->GenerateNormals)
  {
    nval->SetNumberOfComponents(3);
    nval->SetNumberOfTuples(totPts);
    nval->SetName("Normals");
  }

  // Texture coordinates
  vtkSmartPointer<vtkFloatArray> newTCoords = vtkSmartPointer<vtkFloatArray>::New();
  if (this->GenerateTextureCoordinates != 0)
  {
    newTCoords->SetNumberOfComponents(2);
    newTCoords->Allocate(2 * totPts);
    newTCoords->SetName("Textures");
  }

  vtkSmartPointer<vtkPoints> points = vtkSmartPointer<vtkPoints>::New();

  // Set the desired precision for the points in the output.
  if (this->OutputPointsPrecision == vtkAlgorithm::DOUBLE_PRECISION)
  {
    points->SetDataType(VTK_DOUBLE);
  }
  else
  {
    points->SetDataType(VTK_FLOAT);
  }

  points->SetNumberOfPoints(totPts);

  double uStep = (MaxU - this->ParametricFunction->GetMinimumU()) / PtsU;
  double vStep = (MaxV - this->ParametricFunction->GetMinimumV()) / PtsV;

  // Find the mid points of the (u,v) map.
  double u0 = this->ParametricFunction->GetMinimumU();
  double u_mp = (MaxU - u0) / 2.0 + u0 - uStep;
  while (u0 < u_mp)
  {
    u0 += uStep;
  }

  double v0 = this->ParametricFunction->GetMinimumV();
  double v_mp = (MaxV - v0) / 2.0 + v0 - vStep;
  while (v0 < v_mp)
  {
    v0 += vStep;
  }
  u_mp += uStep;
  v_mp += vStep;

  // At this point (u_mp, v_mp) is the midpoint of the (u,v) map and (u0,v0)
  // corresponds to the nearest grid point to the midpoint of the (u,v) map.
  //
  double rel_u = 0; // will be u - u_mp
  double rel_v = 0; // will be v - v_mp

  int k = 0;
  double uv[3];
  uv[0] = this->ParametricFunction->GetMinimumU() - uStep;

  float MaxI = PtsU - 1;
  float MaxJ = PtsV - 1;

  for (int i = 0; i < PtsU; ++i)
  {
    uv[0] += uStep;
    uv[1] = this->ParametricFunction->GetMinimumV() - vStep;

    double tc[2];
    if (this->GenerateTextureCoordinates != 0)
    {
      tc[0] = i / MaxI;
    }

    for (int j = 0; j < PtsV; ++j)
    {
      uv[1] += vStep;

      if (this->GenerateTextureCoordinates != 0)
      {
        tc[1] = 1.0 - j / MaxJ;
        newTCoords->InsertNextTuple(tc);
      }

      // The point
      double Pt[3];
      // Partial derivative at Pt with respect to u,v,w.
      double Du[9];
      // Partial derivative at Pt with respect to v.
      double* Dv = Du + 3;

      // Calculate fn(u)->(Pt,Du).
      this->ParametricFunction->Evaluate(uv, Pt, Du);

      // Insert the points and scalar.
      points->InsertPoint(k, Pt[0], Pt[1], Pt[2]);
      double scalar;

      if (this->ScalarMode != SCALAR_NONE)
      {
        switch (this->ScalarMode)
        {
          case SCALAR_U:
            scalar = uv[0];
            break;
          case SCALAR_V:
            scalar = uv[1];
            break;
          case SCALAR_U0:
            scalar = uv[0] == u0 ? 1 : 0;
            break;
          case SCALAR_V0:
            scalar = uv[1] == v0 ? 1 : 0;
            break;
          case SCALAR_U0V0:
            scalar = 0;
            // u0, v0
            if (uv[0] == u0 && uv[1] == v0)
            {
              scalar = 3;
            }
            else
            {
              // u0 line
              if (uv[0] == u0)
              {
                scalar = 1;
              }
              else
              {
                // v0 line
                if (uv[1] == v0)
                {
                  scalar = 2;
                }
              }
            }
            break;
          case SCALAR_MODULUS:
            rel_u = uv[0] - u_mp;
            rel_v = uv[1] - v_mp;
            scalar = sqrt(rel_u * rel_u + rel_v * rel_v);
            break;
          case SCALAR_PHASE:
            rel_u = uv[0] - u_mp;
            rel_v = uv[1] - v_mp;
            if (rel_v == 0 && rel_u == 0)
            {
              scalar = 0;
            }
            else
            {
              scalar = vtkMath::DegreesFromRadians(atan2(rel_v, rel_u));
              if (scalar < 0)
              {
                scalar += 360;
              }
            }
            break;
          case SCALAR_QUADRANT:
            if (uv[0] >= u0 && uv[1] >= v0)
            {
              scalar = 1;
              break;
            }
            if (uv[0] < u0 && uv[1] >= v0)
            {
              scalar = 2;
              break;
            }
            if (uv[0] < u0 && uv[1] < v0)
            {
              scalar = 3;
            }
            else
            {
              scalar = 4;
            }
            break;
          case SCALAR_X:
            scalar = Pt[0];
            break;
          case SCALAR_Y:
            scalar = Pt[1];
            break;
          case SCALAR_Z:
            scalar = Pt[2];
            break;
          case SCALAR_DISTANCE:
            scalar = sqrt(Pt[0] * Pt[0] + Pt[1] * Pt[1] + Pt[2] * Pt[2]);
            break;
          case SCALAR_FUNCTION_DEFINED:
            scalar = this->ParametricFunction->EvaluateScalar(uv, Pt, Du);
            break;
          case SCALAR_NONE:
          default:
            scalar = 0;
        }
        sval->SetValue(k, scalar);
      }

      // Calculate the normal.
      if (this->ParametricFunction->GetDerivativesAvailable() && this->GenerateNormals)
      {
        double n[3];
        if (this->ParametricFunction->GetClockwiseOrdering() == 0)
        {
          // Anti-clockwise ordering
          vtkMath::Cross(Dv, Du, n);
        }
        else
        {
          // Clockwise ordering
          vtkMath::Cross(Du, Dv, n);
        }
        nval->SetTuple3(k, n[0], n[1], n[2]);
      }

      ++k;
    }
  }

  vtkInformation* outInfo = output->GetInformationObject(0);
  vtkPolyData* outData = static_cast<vtkPolyData*>(outInfo->Get(vtkDataObject::DATA_OBJECT()));
  vtkCellArray* tris = vtkCellArray::New();
  this->MakeTriangles(tris, PtsU, PtsV);
  outData->SetPoints(points);
  outData->SetPolys(tris);

  if (this->GenerateNormals)
  {
    if (this->ParametricFunction->GetDerivativesAvailable())
    {
      outData->GetPointData()->SetNormals(nval);
    }
    else
    {
      // Used to hold the surface
      vtkSmartPointer<vtkPolyData> pd = vtkSmartPointer<vtkPolyData>::New();
      pd->SetPoints(points);
      pd->SetPolys(tris);
      vtkSmartPointer<vtkPolyDataNormals> norm = vtkSmartPointer<vtkPolyDataNormals>::New();
      // we prevent vtkPolyDataNormals from generating new points
      // so that the number of newTCoords matches the number of points.
      norm->SplittingOff();
      norm->SetInputData(pd);
      norm->Update();
      outData->DeepCopy(norm->GetOutput());
    }
  }

  tris->Delete();
  if (this->ScalarMode != SCALAR_NONE)
  {
    outData->GetPointData()->SetScalars(sval);
  }
  if (this->GenerateTextureCoordinates != 0)
  {
    outData->GetPointData()->SetTCoords(newTCoords);
  }
  outData->Modified();
}

//----------------------------------------------------------------------------
vtkMTimeType vtkParametricFunctionSource::GetMTime()
{
  vtkMTimeType mTime = this->Superclass::GetMTime();
  vtkMTimeType funcMTime;

  if (this->ParametricFunction != nullptr)
  {
    funcMTime = this->ParametricFunction->GetMTime();
    mTime = (funcMTime > mTime ? funcMTime : mTime);
  }

  return mTime;
}

//----------------------------------------------------------------------------
void vtkParametricFunctionSource::PrintSelf(ostream& os, vtkIndent indent)
{
  this->Superclass::PrintSelf(os, indent);

  os << indent << "U Resolution: " << this->UResolution << "\n";
  os << indent << "V Resolution: " << this->VResolution << "\n";
  os << indent << "W Resolution: " << this->WResolution << "\n";

  if (this->ParametricFunction)
  {
    os << indent << "Parametric Function: " << this->ParametricFunction << "\n";
  }
  else
  {
    os << indent << "No Parametric function defined\n";
  }

  std::string s;
  switch (this->ScalarMode)
  {
    case SCALAR_NONE:
      s = "SCALAR_NONE";
      break;
    case SCALAR_U:
      s = "SCALAR_U";
      break;
    case SCALAR_V:
      s = "SCALAR_V";
      break;
    case SCALAR_U0:
      s = "SCALAR_U0";
      break;
    case SCALAR_V0:
      s = "SCALAR_V0";
      break;
    case SCALAR_U0V0:
      s = "SCALAR_U0V0";
      break;
    case SCALAR_MODULUS:
      s = "SCALAR_MODULUS";
      break;
    case SCALAR_PHASE:
      s = "SCALAR_PHASE";
      break;
    case SCALAR_QUADRANT:
      s = "SCALAR_QUADRANT";
      break;
    case SCALAR_X:
      s = "SCALAR_X";
      break;
    case SCALAR_Y:
      s = "SCALAR_Y";
      break;
    case SCALAR_Z:
      s = "SCALAR_Z";
      break;
    case SCALAR_DISTANCE:
      s = "SCALAR_DISTANCE";
      break;
    case SCALAR_FUNCTION_DEFINED:
      s = "SCALAR_FUNCTION_DEFINED";
      break;
    default:
      s = "Unknown scalar mode.";
  }
  os << indent << "Scalar Mode: " << s.c_str() << "\n";
  os << indent << "GenerateTextureCoordinates:" << (this->GenerateTextureCoordinates ? "On" : "Off")
     << "\n";
  os << indent << "Output Points Precision: " << this->OutputPointsPrecision << "\n";
}
