vtkPlane.h

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/*=========================================================================
 
  Program:   Visualization Toolkit
  Module:    vtkPlane.h
 
  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.
 
=========================================================================*/
#ifndef vtkPlane_h
#define vtkPlane_h
 
#include "vtkCommonDataModelModule.h" // For export macro
#include "vtkImplicitFunction.h"
 
class vtkPoints; // forward declaration
 
class VTKCOMMONDATAMODEL_EXPORT vtkPlane : public vtkImplicitFunction
{
public:
  static vtkPlane* New();
 
  vtkTypeMacro(vtkPlane, vtkImplicitFunction);
  void PrintSelf(ostream& os, vtkIndent indent) override;
 
 
  using vtkImplicitFunction::EvaluateFunction;
  void EvaluateFunction(vtkDataArray* input, vtkDataArray* output) override;
  double EvaluateFunction(double x[3]) override;
 
  void EvaluateGradient(double x[3], double g[3]) override;
 
 
  vtkSetVector3Macro(Normal, double);
  vtkGetVectorMacro(Normal, double, 3);
 
 
  vtkSetVector3Macro(Origin, double);
  vtkGetVectorMacro(Origin, double, 3);
 
  void Push(double distance);
 
 
  static void ProjectPoint(
    const double x[3], const double origin[3], const double normal[3], double xproj[3]);
  void ProjectPoint(const double x[3], double xproj[3]);
 
 
  static void ProjectVector(
    const double v[3], const double origin[3], const double normal[3], double vproj[3]);
  void ProjectVector(const double v[3], double vproj[3]);
 
 
  static void GeneralizedProjectPoint(
    const double x[3], const double origin[3], const double normal[3], double xproj[3]);
  void GeneralizedProjectPoint(const double x[3], double xproj[3]);
 
  static double Evaluate(double normal[3], double origin[3], double x[3]);
 
 
  static double DistanceToPlane(double x[3], double n[3], double p0[3]);
  double DistanceToPlane(double x[3]);
 
 
  static int IntersectWithLine(
    const double p1[3], const double p2[3], double n[3], double p0[3], double& t, double x[3]);
  int IntersectWithLine(const double p1[3], const double p2[3], double& t, double x[3]);
 
 
  static int IntersectWithFinitePlane(double n[3], double o[3], double pOrigin[3], double px[3],
    double py[3], double x0[3], double x1[3]);
  int IntersectWithFinitePlane(
    double pOrigin[3], double px[3], double py[3], double x0[3], double x1[3]);
 
 
  static bool ComputeBestFittingPlane(vtkPoints* pts, double* origin, double* normal);
 
protected:
  vtkPlane();
  ~vtkPlane() override = default;
 
  double Normal[3];
  double Origin[3];
 
private:
  vtkPlane(const vtkPlane&) = delete;
  void operator=(const vtkPlane&) = delete;
};
 
// Generally the normal should be normalized
inline double vtkPlane::Evaluate(double normal[3], double origin[3], double x[3])
{
  return normal[0] * (x[0] - origin[0]) + normal[1] * (x[1] - origin[1]) +
    normal[2] * (x[2] - origin[2]);
}
 
// Assumes normal is normalized
inline double vtkPlane::DistanceToPlane(double x[3], double n[3], double p0[3])
{
#define vtkPlaneAbs(x) ((x) < 0 ? -(x) : (x))
  return (vtkPlaneAbs(n[0] * (x[0] - p0[0]) + n[1] * (x[1] - p0[1]) + n[2] * (x[2] - p0[2])));
}
 
#endif