2 offset.cc -- implement Offset
4 source file of the GNU LilyPond music typesetter
6 (c) 1997--2006 Han-Wen Nienhuys <hanwen@xs4all.nl>
14 Offset::to_string () const
17 s = string (" (") + ::to_string (coordinate_a_[X_AXIS]) + ", "
18 + ::to_string (coordinate_a_[Y_AXIS]) + ")";
26 return (fabs (r) > 1e20);
30 free bsd fix by John Galbraith
34 complex_multiply (Offset z1, Offset z2)
37 if (!isinf_b (z2[Y_AXIS]))
39 z[X_AXIS] = z1[X_AXIS] * z2[X_AXIS] - z1[Y_AXIS] * z2[Y_AXIS];
40 z[Y_AXIS] = z1[X_AXIS] * z2[Y_AXIS] + z1[Y_AXIS] * z2[X_AXIS];
46 complex_conjugate (Offset o)
48 o[Y_AXIS] = -o[Y_AXIS];
53 complex_divide (Offset z1, Offset z2)
55 z2 = complex_conjugate (z2);
56 Offset z = complex_multiply (z1, z2);
57 z *= 1 / z2.length ();
62 complex_exp (Offset o)
64 Real s = sin (o[Y_AXIS]);
65 Real c = cos (o[Y_AXIS]);
67 Real r = exp (o[X_AXIS]);
69 return Offset (r * c, r * s);
75 return atan2 (coordinate_a_[Y_AXIS], coordinate_a_[X_AXIS]);
79 euclidian vector length / complex modulus
82 Offset::length () const
84 return sqrt (sqr (coordinate_a_[X_AXIS])
85 + sqr (coordinate_a_[Y_AXIS]));
89 Offset::is_sane () const
91 return !isnan (coordinate_a_[X_AXIS])
92 && !isnan (coordinate_a_ [Y_AXIS])
93 && !isinf (coordinate_a_[X_AXIS])
94 && !isnan (coordinate_a_[Y_AXIS]);