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/*
This file is part of LilyPond, the GNU music typesetter.
Copyright (C) 1998--2015 Jan Nieuwenhuizen <janneke@gnu.org>
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 BEZIER_HH
#define BEZIER_HH
#include "interval.hh"
#include "offset.hh"
#include "polynomial.hh"
/**
Simple bezier curve
*/
class Bezier
{
public:
void assert_sanity () const;
void scale (Real x, Real y);
void reverse ();
void rotate (Real);
void translate (Offset);
void subdivide (Real, Bezier *, Bezier *) const;
Bezier extract (Real, Real) const;
Real get_other_coordinate (Axis a, Real x) const;
vector<Real> get_other_coordinates (Axis a, Real x) const;
vector<Real> solve_point (Axis, Real coordinate) const;
Real minmax (Axis, Real, Real, Direction) const;
vector<Real> solve_derivative (Offset) const;
Interval extent (Axis) const;
Interval control_point_extent (Axis) const;
Polynomial polynomial (Axis)const;
Offset curve_point (Real t) const;
Offset dir_at_point (Real t) const;
Real curve_coordinate (Real t, Axis) const;
static const int CONTROL_COUNT = 4;
/*
Bezier curves always have 4 control points. Making this into an
vector<> gives unnecessary overhead, and makes debugging a royal
pain. */
Offset control_[4];
};
void scale (vector<Offset> *array, Real xscale, Real yscale);
void rotate (vector<Offset> *array, Real phi);
void translate (vector<Offset> *array, Offset o);
Bezier slur_shape (Real width, Real height_limit,
Real height_proportion);
Real slur_height (Real width, Real height_limit, Real height_proportion);
void get_slur_indent_height (Real *indent, Real *height, Real width, Real h_inf, Real r_0);
#endif // BEZIER_HH
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