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/*
This file is part of LilyPond, the GNU music typesetter.
Copyright (C) 1996--2015 Han-Wen Nienhuys
LilyPond is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
LilyPond is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with LilyPond. If not, see <http://www.gnu.org/licenses/>.
*/
#ifndef OFFSET_HH
#define OFFSET_HH
#include "axis.hh"
#include "std-string.hh"
#include "real.hh"
/*
This is a mixture a 2D vector. Sometimes it can
also be convenient to think of 2D vectors as complex numbers
(ie. x + i y). The naming of some methods reflects that.
*/
class Offset
{
public:
Real coordinate_a_[NO_AXES];
Real &operator [] (Axis i)
{
return coordinate_a_[i];
}
Real operator [] (Axis i) const
{
return coordinate_a_[i];
}
Offset &operator += (Offset o)
{
(*this)[X_AXIS] += o[X_AXIS];
(*this)[Y_AXIS] += o[Y_AXIS];
return *this;
}
Offset operator - () const
{
Offset o = *this;
o[X_AXIS] = -o[X_AXIS];
o[Y_AXIS] = -o[Y_AXIS];
return o;
}
Offset &operator -= (Offset o)
{
(*this)[X_AXIS] -= o[X_AXIS];
(*this)[Y_AXIS] -= o[Y_AXIS];
return *this;
}
Offset &scale (Offset o)
{
(*this)[X_AXIS] *= o[X_AXIS];
(*this)[Y_AXIS] *= o[Y_AXIS];
return *this;
}
Offset &operator /= (Real a)
{
(*this) *= 1 / a;
return *this;
}
Offset &operator *= (Real a)
{
(*this)[X_AXIS] *= a;
(*this)[Y_AXIS] *= a;
return *this;
}
Offset (Real ix, Real iy)
{
coordinate_a_[X_AXIS] = ix;
coordinate_a_[Y_AXIS] = iy;
}
Offset ()
{
coordinate_a_[X_AXIS] = coordinate_a_[Y_AXIS] = 0.0;
}
string to_string () const;
Offset &mirror (Axis a)
{
coordinate_a_[a] = -coordinate_a_[a];
return *this;
}
Offset direction () const;
Offset swapped () const;
Real arg () const;
Real angle_degrees () const;
Real length () const;
bool is_sane () const;
Offset operator *= (Offset z2);
};
#include "arithmetic-operator.hh"
IMPLEMENT_ARITHMETIC_OPERATOR (Offset, +);
IMPLEMENT_ARITHMETIC_OPERATOR (Offset, -);
IMPLEMENT_ARITHMETIC_OPERATOR (Offset, *);
Offset complex_multiply (Offset, Offset);
Offset complex_divide (Offset, Offset);
Offset complex_exp (Offset);
Offset offset_directed (Real);
inline Offset
Offset::operator *= (Offset z2)
{
*this = complex_multiply (*this, z2);
return *this;
}
inline Offset
operator * (Real o1, Offset o2)
{
o2 *= o1;
return o2;
}
inline Offset
operator / (Offset o1, Real a)
{
o1 /= a;
return o1;
}
inline Offset
operator * (Offset o1, Real o2)
{
o1 *= o2;
return o1;
}
inline Offset
mirror (Offset o, Axis a)
{
o.mirror (a);
return o;
}
inline
Real
dot_product (Offset o1, Offset o2)
{
return o1[X_AXIS] * o2[X_AXIS] + o1[Y_AXIS] * o2[Y_AXIS];
}
inline
Real
cross_product (Offset o1, Offset o2)
{
return o1[X_AXIS] * o2[Y_AXIS] - o1[Y_AXIS] * o2[X_AXIS];
}
#endif /* OFFSET_HH */
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