interval_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_INTERVAL_MATRIX_H
#define FCL_CCD_INTERVAL_MATRIX_H

#include "fcl/math/motion/taylor_model/interval.h"
#include "fcl/math/motion/taylor_model/interval_vector.h"

namespace fcl
{

template <typename S>
struct IMatrix3
{
  IVector3<S> v_[3];

  IMatrix3();
  IMatrix3(S v);
  IMatrix3(const Matrix3<S>& m);
  IMatrix3(S m[3][3][2]);
  IMatrix3(S m[3][3]);
  IMatrix3(Interval<S> m[3][3]);
  IMatrix3(const IVector3<S>& v1, const IVector3<S>& v2, const IVector3<S>& v3);

  void setIdentity();

  IVector3<S> getColumn(size_t i) const;
  const IVector3<S>& getRow(size_t i) const;

  Vector3<S> getColumnLow(size_t i) const;
  Vector3<S> getRowLow(size_t i) const;

  Vector3<S> getColumnHigh(size_t i) const;
  Vector3<S> getRowHigh(size_t i) const;

  Matrix3<S> getLow() const;
  Matrix3<S> getHigh() const;

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

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

  IMatrix3 operator + (const IMatrix3& m) const;
  IMatrix3& operator += (const IMatrix3& m);

  IMatrix3 operator - (const IMatrix3& m) const;
  IMatrix3& operator -= (const IMatrix3& m);

  IVector3<S> operator * (const Vector3<S>& v) const;
  IVector3<S> operator * (const IVector3<S>& v) const;
  IMatrix3 operator * (const IMatrix3& m) const;
  IMatrix3 operator * (const Matrix3<S>& m) const;

  IMatrix3& operator *= (const IMatrix3& m);
  IMatrix3& operator *= (const Matrix3<S>& m);

  IMatrix3& rotationConstrain();

  void print() const;
};

template <typename S>
IMatrix3<S> rotationConstrain(const IMatrix3<S>& m);

} // namespace fcl

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

#endif