Imported Upstream version 2.14.2

[lilypond.git] / lily / bezier.cc

diff --git a/lily/bezier.cc b/lily/bezier.cc
index 3712b9213ef91c26ab1d5fb74d0fb56127dc5c06..e15b04827abd3ba39aa09fe2b1ee4eaea35524b9 100644 (file)
--- a/lily/bezier.cc
+++ b/lily/bezier.cc
@@ -1,9 +1,20 @@
 /*
-  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--2009 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/>.
 */
 
 #include "bezier.hh"
@@ -265,3 +276,52 @@ Bezier::reverse ()
     b2.control_[CONTROL_COUNT - i - 1] = control_[i];
   *this = b2;
 }
+
+
+/*
+  Subdivide a bezier at T into LEFT_PART and RIGHT_PART
+  using deCasteljau's algorithm.
+*/
+void
+Bezier::subdivide (Real t, Bezier *left_part, Bezier *right_part) const
+{
+  Offset p[CONTROL_COUNT][CONTROL_COUNT];
+
+  for (int i = 0; i < CONTROL_COUNT ; i++)
+    p[i][CONTROL_COUNT - 1 ] = control_[i];
+  for (int j = CONTROL_COUNT - 2; j >= 0 ; j--)
+  for (int i = 0; i < CONTROL_COUNT -1; i++)
+    p[i][j] = p[i][j+1] + t * (p[i+1][j+1] - p[i][j+1]);
+  for (int i = 0; i < CONTROL_COUNT; i++)
+    {
+      left_part->control_[i]=p[0][CONTROL_COUNT - 1 - i];
+      right_part->control_[i]=p[i][i];
+    }
+}
+
+/*
+  Extract a portion of a bezier from T_MIN to T_MAX
+*/
+
+Bezier
+Bezier::extract (Real t_min, Real t_max) const
+{
+  if ((t_min < 0) || (t_max) > 1)
+    programming_error
+      ("bezier extract arguments outside of limits: curve may have bad shape");
+  if (t_min >= t_max)
+    programming_error 
+      ("lower bezier extract value not less than upper value: curve may have bad shape");
+  Bezier bez1, bez2, bez3, bez4;
+  if (t_min == 0.0)
+    bez2 = *this;
+  else
+      subdivide (t_min, &bez1, &bez2);
+  if (t_max == 1.0)
+      return bez2;
+  else
+   {
+     bez2.subdivide ((t_max-t_min)/(1-t_min), &bez3, &bez4);
+     return bez3;
+  }
+}