/*
- bezier.hh -- declare Bezier and Bezier_bow
+ This file is part of LilyPond, the GNU music typesetter.
- (c) 1998 Jan Nieuwenhuizen <jan@digicash.com>
+ Copyright (C) 1998--2014 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
-#ifndef STANDALONE
-#include "lily-proto.hh"
-#endif
-
-#include "real.hh"
-#include "curve.hh"
+#include "interval.hh"
+#include "offset.hh"
+#include "polynomial.hh"
/**
- Simple bezier curve
- */
+ Simple bezier curve
+*/
class Bezier
{
public:
- Bezier ();
+ 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;
- /**
- Calculate bezier curve into Offset (x,y) array.
- */
- void calc (int steps);
+ 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;
- void set (Array<Offset> points);
+ Polynomial polynomial (Axis)const;
+ Offset curve_point (Real t) const;
+ Real slope_at_point (Real t) const;
+ Real curve_coordinate (Real t, Axis) const;
- /**
- Return y that goes with x by interpolation.
- */
- Real y (Real x);
+ static const int CONTROL_COUNT = 4;
- Curve curve_;
- Curve control_;
-};
+ /*
+ Bezier curves always have 4 control points. Making this into an
+ vector<> gives unnecessary overhead, and makes debugging a royal
+ pain. */
-/**
- Implement bow specific bezier curve
- */
-class Bezier_bow : public Bezier
-{
-public:
- Bezier_bow (Paper_def* paper_l);
-
- /**
- Calculate bezier curve for bow from bow parameters.
- */
- void blow_fit ();
- void calc ();
- Real calc_f (Real height);
- void calc_bezier ();
- bool calc_clipping ();
- void calc_controls ();
- void calc_default (Real h);
- void calc_return (Real begin_alpha, Real end_alpha);
- void calc_tangent_controls ();
- bool check_fit_bo ();
- Real check_fit_f ();
- void set (Array<Offset> points, int dir);
- void transform ();
- void transform_controls_back ();
-
- Paper_def* paper_l_;
- Curve encompass_;
- int dir_;
- Real alpha_;
- Offset origin_;
- Curve return_;
+ 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