/*
bezier.hh -- declare Bezier and Bezier_bow
- (c) 1998 Jan Nieuwenhuizen <jan@digicash.com>
+ (c) 1998--2009 Jan Nieuwenhuizen <janneke@gnu.org>
*/
#ifndef BEZIER_HH
#define BEZIER_HH
-#include "lily-proto.hh"
-#include "real.hh"
+#include "interval.hh"
+#include "offset.hh"
+#include "polynomial.hh"
/**
- Handy (x,y) of reals for Bezier
- */
-struct Point
-{
- Real x;
- Real y;
-};
-
-/**
- Simple bezier curve
- */
+ Simple bezier curve
+*/
class Bezier
{
public:
- Bezier (int steps_i);
- virtual ~Bezier ();
-
- /**
- Calculate bezier curve into Point (x,y) array.
- */
- void calc (Point control[4]);
-
- /**
- Return y that goes with x by interpolation.
- */
- Real y (Real x);
-
- int steps_i_;
- Point* curve_;
+ void assert_sanity () const;
+ void scale (Real x, Real y);
+ void reverse ();
+ void rotate (Real);
+ void translate (Offset);
+
+ Real get_other_coordinate (Axis a, Real x) const;
+ vector<Real> solve_point (Axis, Real coordinate) const;
+ vector<Real> solve_derivative (Offset) const;
+ Interval extent (Axis) const;
+ Interval control_point_extent (Axis) const;
+
+ Polynomial polynomial (Axis)const;
+ Offset curve_point (Real t) const;
+ Real curve_coordinate (Real t, Axis) const;
+
+ static const int CONTROL_COUNT = 4;
+
+ /*
+ Bezier curves always have 4 control points. Making this into an
+ vector<> gives unnecessary overhead, and makes debugging a royal
+ pain. */
+
+ Offset control_[4];
};
-/**
- Implement bow specific bezier curve
- */
-class Bezier_bow : public Bezier
-{
-public:
- Bezier_bow (Paper_def* paper_l);
-
- /**
- Calculate bezier curve for bow from bow parameters.
- */
- void calc (Real dx, Real dy, Real h, Real d);
- Paper_def* paper_l_;
-};
+void scale (vector<Offset> *array, Real xscale, Real yscale);
+void rotate (vector<Offset> *array, Real phi);
+void translate (vector<Offset> *array, Offset o);
+Bezier slur_shape (Real width, Real height_limit,
+ Real height_proportion);
+Real slur_height (Real width, Real height_limit, Real height_proportion);
+void get_slur_indent_height (Real *indent, Real *height, Real width, Real h_inf, Real r_0);
#endif // BEZIER_HH
+