source file of the GNU LilyPond music typesetter
- (c) 1998--2005 Jan Nieuwenhuizen <janneke@gnu.org>
+ (c) 1998--2006 Jan Nieuwenhuizen <janneke@gnu.org>
*/
-#include <math.h>
-
#include "bezier.hh"
#include "warn.hh"
#include "libc-extension.hh"
-Real binomial_coefficient_3[] = {1,3 ,3, 1};
+Real binomial_coefficient_3[] = {
+ 1, 3, 3, 1
+};
Real
binomial_coefficient (Real over, int under)
Real
Bezier::get_other_coordinate (Axis a, Real x) const
{
- Axis other = Axis ((a +1)%NO_AXES);
+ Axis other = Axis ((a +1) % NO_AXES);
Array<Real> ts = solve_point (a, x);
if (ts.size () == 0)
return 0.0;
}
-
#ifdef PARANOID
Offset c = curve_point (ts[0]);
if (fabs (c[a] - x) > 1e-8)
Real one_min_tj[4];
one_min_tj[0] = 1;
for (int i = 1; i < 4; i++)
- {
- one_min_tj[i] = one_min_tj[i-1] * (1-t);
- }
+ one_min_tj[i] = one_min_tj[i - 1] * (1 - t);
Real r = 0.0;
for (int j = 0; j < 4; j++)
{
r += control_[j][a] * binomial_coefficient_3[j]
- * tj * one_min_tj[3-j];
+ * tj * one_min_tj[3 - j];
tj *= t;
}
Real one_min_tj[4];
one_min_tj[0] = 1;
for (int i = 1; i < 4; i++)
- {
- one_min_tj[i] = one_min_tj[i-1] * (1-t);
- }
+ one_min_tj[i] = one_min_tj[i - 1] * (1 - t);
Offset o;
for (int j = 0; j < 4; j++)
{
o += control_[j] * binomial_coefficient_3[j]
- * tj * one_min_tj[3-j];
+ * tj * one_min_tj[3 - j];
tj *= t;
}
Cache binom(3,j) t^j (1-t)^{3-j}
*/
static struct Polynomial bezier_term_cache[4];
-static bool done_cache_init;
+static bool done_cache_init;
void
init_polynomial_cache ()
{
- for (int j = 0; j <= 3; j++)
- bezier_term_cache[j] =
- binomial_coefficient_3[j]
+ for (int j = 0; j <= 3; j++)
+ bezier_term_cache[j]
+ = binomial_coefficient_3[j]
* Polynomial::power (j, Polynomial (0, 1))
* Polynomial::power (3 - j, Polynomial (1, -1));
done_cache_init = true;
{
if (!done_cache_init)
init_polynomial_cache ();
-
+
Polynomial p (0.0);
- Polynomial q ;
+ Polynomial q;
for (int j = 0; j <= 3; j++)
{
q = bezier_term_cache[j];
return iv;
}
+Interval
+Bezier::control_point_extent (Axis a) const
+{
+ Interval ext;
+ for (int i = CONTROL_COUNT; i--;)
+ ext.add_point (control_[i][a]);
+
+ return ext;
+}
+
+
/**
Flip around axis A
*/