codac_tube_arithmetic.h

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#ifndef __CODAC_TUBE_ARITHMETIC_H__
#define __CODAC_TUBE_ARITHMETIC_H__

#include "codac_Interval.h"
#include "codac_IntervalVector.h"
#include "codac_Tube.h"
#include "codac_TubeVector.h"

namespace codac
{

    const Tube cos(const Tube& x);

    const Tube sin(const Tube& x);

    const Tube abs(const Tube& x);

    const Tube sqr(const Tube& x);

    const Tube sqrt(const Tube& x);

    const Tube exp(const Tube& x);

    const Tube log(const Tube& x);

    const Tube tan(const Tube& x);

    const Tube acos(const Tube& x);

    const Tube asin(const Tube& x);

    const Tube atan(const Tube& x);

    const Tube cosh(const Tube& x);

    const Tube sinh(const Tube& x);

    const Tube tanh(const Tube& x);

    const Tube acosh(const Tube& x);

    const Tube asinh(const Tube& x);

    const Tube atanh(const Tube& x);

    const Tube atan2(const Tube& y, const Tube& x);

    const Tube atan2(const Tube& y, const Interval& x);

    const Tube atan2(const Interval& y, const Tube& x);

    const Tube pow(const Tube& x, int p);

    const Tube pow(const Tube& x, double p);

    const Tube pow(const Tube& x, const Interval& p);

    const Tube root(const Tube& x, int p);

    // todo: atan2, pow with Trajectory as parameter

    const Tube min(const Tube& y, const Tube& x);

    const Tube min(const Tube& y, const Interval& x);

    const Tube min(const Interval& y, const Tube& x);

    const Tube max(const Tube& y, const Tube& x);

    const Tube max(const Tube& y, const Interval& x);

    const Tube max(const Interval& y, const Tube& x);

    const Tube operator+(const Tube& x);

    const Tube operator+(const Tube& x, const Tube& y);

    const Tube operator+(const Tube& x, const Interval& y);

    const Tube operator+(const Interval& x, const Tube& y);

    const Tube operator+(const Tube& x, const Trajectory& y);

    const Tube operator+(const Trajectory& x, const Tube& y);

    const Tube operator-(const Tube& x);

    const Tube operator-(const Tube& x, const Tube& y);

    const Tube operator-(const Tube& x, const Interval& y);

    const Tube operator-(const Interval& x, const Tube& y);

    const Tube operator-(const Tube& x, const Trajectory& y);

    const Tube operator-(const Trajectory& x, const Tube& y);

    const Tube operator*(const Tube& x, const Tube& y);

    const Tube operator*(const Tube& x, const Interval& y);

    const Tube operator*(const Interval& x, const Tube& y);

    const Tube operator*(const Tube& x, const Trajectory& y);

    const Tube operator*(const Trajectory& x, const Tube& y);

    const Tube operator/(const Tube& x, const Tube& y);

    const Tube operator/(const Tube& x, const Interval& y);

    const Tube operator/(const Interval& x, const Tube& y);

    const Tube operator/(const Tube& x, const Trajectory& y);

    const Tube operator/(const Trajectory& x, const Tube& y);

    const Tube operator|(const Tube& x, const Tube& y);

    const Tube operator|(const Tube& x, const Interval& y);

    const Tube operator|(const Interval& x, const Tube& y);

    const Tube operator|(const Tube& x, const Trajectory& y);

    const Tube operator|(const Trajectory& x, const Tube& y);

    const Tube operator&(const Tube& x, const Tube& y);

    const Tube operator&(const Tube& x, const Interval& y);

    const Tube operator&(const Interval& x, const Tube& y);

    const Tube operator&(const Tube& x, const Trajectory& y);

    const Tube operator&(const Trajectory& x, const Tube& y);


    const TubeVector operator+(const TubeVector& x);

    const TubeVector operator+(const TubeVector& x, const TubeVector& y);

    const TubeVector operator+(const TubeVector& x, const IntervalVector& y);

    const TubeVector operator+(const IntervalVector& x, const TubeVector& y);

    const TubeVector operator+(const TubeVector& x, const TrajectoryVector& y);

    const TubeVector operator+(const TrajectoryVector& x, const TubeVector& y);

    const TubeVector operator-(const TubeVector& x);

    const TubeVector operator-(const TubeVector& x, const TubeVector& y);

    const TubeVector operator-(const TubeVector& x, const IntervalVector& y);

    const TubeVector operator-(const IntervalVector& x, const TubeVector& y);

    const TubeVector operator-(const TubeVector& x, const TrajectoryVector& y);

    const TubeVector operator-(const TrajectoryVector& x, const TubeVector& y);

    const TubeVector operator*(const Tube& x, const TubeVector& y);

    const TubeVector operator*(const Interval& x, const TubeVector& y);

    const TubeVector operator*(const Tube& x, const IntervalVector& y);

    const TubeVector operator*(const Trajectory& x, const TubeVector& y);

    const TubeVector operator/(const TubeVector& x, const Tube& y);

    const TubeVector operator/(const TubeVector& x, const Interval& y);

    const TubeVector operator/(const IntervalVector& x, const Tube& y);

    const TubeVector operator/(const TubeVector& x, const Trajectory& y);

    const TubeVector operator|(const TubeVector& x, const TubeVector& y);

    const TubeVector operator|(const TubeVector& x, const IntervalVector& y);

    const TubeVector operator|(const IntervalVector& x, const TubeVector& y);

    const TubeVector operator|(const TubeVector& x, const TrajectoryVector& y);

    const TubeVector operator|(const TrajectoryVector& x, const TubeVector& y);

    const TubeVector operator&(const TubeVector& x, const TubeVector& y);

    const TubeVector operator&(const TubeVector& x, const IntervalVector& y);

    const TubeVector operator&(const IntervalVector& x, const TubeVector& y);

    const TubeVector operator&(const TubeVector& x, const TrajectoryVector& y);

    const TubeVector operator&(const TrajectoryVector& x, const TubeVector& y);

    const TubeVector abs(const TubeVector& x);

}

#endif