*** empty log message ***

[lilypond.git] / lily / bezier.cc

diff --git a/lily/bezier.cc b/lily/bezier.cc
index 87c0623ba241998fe1b94a842c8fbb83e9e1c2c0..c51ba3706d1603846c679ed0088d6aac78443e50 100644 (file)
--- a/lily/bezier.cc
+++ b/lily/bezier.cc
@@ -57,7 +57,7 @@ translate (Array<Offset>* array, Offset o)
 
   Formula of the bezier 3-spline
 
-  sum_{j= 0}^3 (3 over j) z_j (1-t)^ (3-j)  t^j
+  sum_{j = 0}^3 (3 over j) z_j (1-t)^ (3-j)  t^j
 
 
   A is the axis of X coordinate.
@@ -91,7 +91,7 @@ Bezier::curve_point (Real t)const
   Real one_min_tj = (1-t)* (1-t)* (1-t);
 
   Offset o;
-  for (int j= 0 ; j < 4; j++)
+  for (int j = 0 ; j < 4; j++)
     {
       o += control_[j] * binomial_coefficient (3, j)
        * pow (t,j) * pow (1-t, 3-j);
@@ -114,7 +114,7 @@ Polynomial
 Bezier::polynomial (Axis a)const
 {
   Polynomial p (0.0);
-  for (int j= 0; j <= 3; j++)
+  for (int j = 0; j <= 3; j++)
     {
       p +=
        (control_[j][a] * binomial_coefficient (3, j))
@@ -143,8 +143,8 @@ filter_solutions (Array<Real> sol)
 Array<Real>
 Bezier::solve_derivative (Offset deriv)const
 {
-  Polynomial xp=polynomial (X_AXIS);
-  Polynomial yp=polynomial (Y_AXIS);
+  Polynomial xp = polynomial (X_AXIS);
+  Polynomial yp = polynomial (Y_AXIS);
   xp.differentiate ();
   yp.differentiate ();
   
@@ -180,7 +180,7 @@ Bezier::extent (Axis a)const
   Array<Real> sols (solve_derivative (d));
   sols.push (1.0);
   sols.push (0.0);  
-  for (int i= sols.size (); i--;)
+  for (int i = sols.size (); i--;)
     {
       Offset o (curve_point (sols[i]));
       iv.unite (Interval (o[a],o[a]));
@@ -219,7 +219,7 @@ Bezier::translate (Offset o)
 void
 Bezier::assert_sanity () const
 {
-  for (int i= 0; i < CONTROL_COUNT; i++)
+  for (int i = 0; i < CONTROL_COUNT; i++)
     assert (!isnan (control_[i].length ())
            && !isinf (control_[i].length ()));
 }