taylor_matrix.h

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// This code is based on code developed by Stephane Redon at UNC and Inria for the CATCH library: http://graphics.ewha.ac.kr/CATCH/
#ifndef FCL_CCD_TAYLOR_MATRIX_H
#define FCL_CCD_TAYLOR_MATRIX_H

#include "fcl/math/motion/taylor_model/taylor_vector.h"
#include "fcl/math/motion/taylor_model/interval_matrix.h"

namespace fcl
{

template <typename S>
class TMatrix3
{
  TVector3<S> v_[3];
  
public:
  TMatrix3();
  TMatrix3(const std::shared_ptr<TimeInterval<S>>& time_interval);
  TMatrix3(TaylorModel<S> m[3][3]);
  TMatrix3(const TVector3<S>& v1, const TVector3<S>& v2, const TVector3<S>& v3);
  TMatrix3(const Matrix3<S>& m, const std::shared_ptr<TimeInterval<S>>& time_interval);

  TVector3<S> getColumn(size_t i) const;
  const TVector3<S>& getRow(size_t i) const;

  const TaylorModel<S>& operator () (size_t i, size_t j) const;
  TaylorModel<S>& operator () (size_t i, size_t j);

  TVector3<S> operator * (const Vector3<S>& v) const;
  TVector3<S> operator * (const TVector3<S>& v) const;
  TMatrix3 operator * (const Matrix3<S>& m) const;
  TMatrix3 operator * (const TMatrix3& m) const;
  TMatrix3 operator * (const TaylorModel<S>& d) const;
  TMatrix3 operator * (S d) const;

  TMatrix3& operator *= (const Matrix3<S>& m);
  TMatrix3& operator *= (const TMatrix3& m);
  TMatrix3& operator *= (const TaylorModel<S>& d);
  TMatrix3& operator *= (S d);

  TMatrix3 operator + (const TMatrix3& m) const;
  TMatrix3& operator += (const TMatrix3& m);
  TMatrix3 operator + (const Matrix3<S>& m) const;
  TMatrix3& operator += (const Matrix3<S>& m);

  TMatrix3 operator - (const TMatrix3& m) const;
  TMatrix3& operator -= (const TMatrix3& m);
  TMatrix3 operator - (const Matrix3<S>& m) const;
  TMatrix3& operator -= (const Matrix3<S>& m);
  TMatrix3 operator - () const;

  IMatrix3<S> getBound() const;
  IMatrix3<S> getBound(S l, S r) const;
  IMatrix3<S> getBound(S t) const;

  IMatrix3<S> getTightBound() const;
  IMatrix3<S> getTightBound(S l, S r) const;

  void print() const;
  void setIdentity();
  void setZero();
  S diameter() const;

  void setTimeInterval(const std::shared_ptr<TimeInterval<S>>& time_interval);
  void setTimeInterval(S l, S r);

  const std::shared_ptr<TimeInterval<S>>& getTimeInterval() const;

  TMatrix3& rotationConstrain();
};

template <typename S>
TMatrix3<S> rotationConstrain(const TMatrix3<S>& m);

template <typename S>
TMatrix3<S> operator * (const Matrix3<S>& m, const TaylorModel<S>& a);

template <typename S>
TMatrix3<S> operator * (const TaylorModel<S>& a, const Matrix3<S>& m);

template <typename S>
TMatrix3<S> operator * (const TaylorModel<S>& a, const TMatrix3<S>& m);

template <typename S>
TMatrix3<S> operator * (S d, const TMatrix3<S>& m);

template <typename S>
TMatrix3<S> operator + (const Matrix3<S>& m1, const TMatrix3<S>& m2);

template <typename S>
TMatrix3<S> operator - (const Matrix3<S>& m1, const TMatrix3<S>& m2);

} // namespace fcl

#include "fcl/math/motion/taylor_model/taylor_matrix-inl.h"

#endif