/*
- bezier.cc -- implement Bezier and Bezier_bow
+ This file is part of LilyPond, the GNU music typesetter.
- source file of the GNU LilyPond music typesetter
+ Copyright (C) 1998--2011 Jan Nieuwenhuizen <janneke@gnu.org>
- (c) 1998--2005 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.
-#include <math.h>
+ You should have received a copy of the GNU General Public License
+ along with LilyPond. If not, see <http://www.gnu.org/licenses/>.
+*/
#include "misc.hh"
#include "bezier.hh"
}
/*
- ^ x x
+ ^ x x
|
height <indent>
|
- v x x
+ v x x
slurs. For large slurs, this gives a certain hookiness at the end,
so we increase the indent.
- indent = G(w)
+ indent = G (w)
- w -> 0, G(w) -> .33 w
+ w -> 0, G (w) -> .33 w
(due to derivative constraints, we cannot have indent > len/3)
- w -> inf, G(w) -> 2*h_inf
+ w -> inf, G (w) -> 2*h_inf
i.e.
- G(0) = 0 , G'(0) 1/3, G(infty) = 2h_inf
+ G (0) = 0 , G'(0) 1/3, G (infty) = 2h_inf
solve from
- G(w) = r + p/(w+q)
+ G (w) = r + p/(w+q)
yields
- G(w) = 2 h_inf - max_fraction * q^2/ (w + q)
+ G (w) = 2 h_inf - max_fraction * q^2/ (w + q)
with q = 2 h_inf
*/
*height = slur_height (width, h_inf, r_0);
Real q = 2 * h_inf / max_fraction;
- *indent
- = 2 * h_inf - sqr (q) * max_fraction / (width + q);
+ *indent = 2 * h_inf - sqr (q) * max_fraction / (width + q);
}
Bezier