Imported Upstream version 2.14.2

[lilypond.git] / lily / bezier-bow.cc

diff --git a/lily/bezier-bow.cc b/lily/bezier-bow.cc
index fcc6df45f4ce1e898ec3167f244861a6a050dd8a..587d3d65db0cedc3ac6f57927ff14199e1373118 100644 (file)
--- a/lily/bezier-bow.cc
+++ b/lily/bezier-bow.cc
@@ -1,13 +1,21 @@
 /*
-  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 <cmath>
-using namespace std;
+  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"
@@ -66,27 +74,27 @@ slur_height (Real width, Real h_inf, Real r_0)
   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
 */