2 offset.cc -- implement Offset
4 source file of the GNU LilyPond music typesetter
6 (c) 1997--2003 Han-Wen Nienhuys <hanwen@cs.uu.nl>
18 Offset::to_string () const
21 s = String (" (") + ::to_string (coordinate_a_[X_AXIS]) + ", "
22 + ::to_string (coordinate_a_[Y_AXIS]) + ")";
31 return (fabs (r) > 1e20);
35 free bsd fix by John Galbraith
39 complex_multiply (Offset z1, Offset z2)
42 if (!isinf_b (z2[Y_AXIS]))
44 z[X_AXIS] = z1[X_AXIS] * z2[X_AXIS] - z1[Y_AXIS]*z2[Y_AXIS];
45 z[Y_AXIS] = z1[X_AXIS] * z2[Y_AXIS] + z1[Y_AXIS] * z2[X_AXIS];
52 complex_conjugate (Offset o)
54 o[Y_AXIS] = - o[Y_AXIS];
59 complex_divide (Offset z1, Offset z2)
61 z2 = complex_conjugate (z2);
62 Offset z = complex_multiply (z1, z2);
70 complex_exp (Offset o)
72 Real s = sin (o[Y_AXIS]);
73 Real c = cos (o[Y_AXIS]);
75 Real r = exp (o[X_AXIS]);
77 return Offset (r*c, r*s);
83 return atan2 (coordinate_a_[Y_AXIS], coordinate_a_[X_AXIS]);
87 euclidian vector length / complex modulus
90 Offset::length () const
92 return sqrt (sqr (coordinate_a_[X_AXIS]) + sqr (coordinate_a_[Y_AXIS]));
95 Offset::mirror (Axis a)
97 coordinate_a_[a] = - coordinate_a_[a];