1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
|
/*
complex.c:
Copyright (C) 1997 Michael A. Casey
This file is part of Csound.
The Csound Library is free software; you can redistribute it
and/or modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 of the License, or (at your option) any later version.
Csound is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
License along with Csound; if not, write to the Free Software
Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
02111-1307 USA
*/
/* Code from Press, Teukolsky, Vettering and Flannery
* Numerical Recipes in C, 2nd Edition, Cambridge 1992.
*/
#include <math.h>
typedef struct FCOMPLEX {double r,i;} fcomplex; /* >> was float<< */
fcomplex Cadd(fcomplex a, fcomplex b)
{
fcomplex c;
c.r=a.r+b.r;
c.i=a.i+b.i;
return c;
}
fcomplex Csub(fcomplex a, fcomplex b)
{
fcomplex c;
c.r=a.r-b.r;
c.i=a.i-b.i;
return c;
}
fcomplex Cmul(fcomplex a, fcomplex b)
{
fcomplex c;
c.r=a.r*b.r-a.i*b.i;
c.i=a.i*b.r+a.r*b.i;
return c;
}
fcomplex Complex(double/*float*/ re, double/*float*/ im)
{
fcomplex c;
c.r = re;
c.i = im;
return c;
}
fcomplex Conjg(fcomplex z)
{
fcomplex c;
c.r = z.r;
c.i = -z.i;
return c;
}
fcomplex Cdiv(fcomplex a, fcomplex b)
{
fcomplex c;
double/*float*/ r,den;
if (fabs(b.r) >= fabs(b.i)) {
r = b.i/b.r;
den = b.r+r*b.i;
c.r = (a.r+r*a.i)/den;
c.i = (a.i-r*a.r)/den;
}
else {
r = b.r/b.i;
den = b.i+r*b.r;
c.r = (a.r*r+a.i)/den;
c.i = (a.i*r-a.r)/den;
}
return c;
}
double/*float*/ Cabs(fcomplex z)
{
double/*float*/ x,y,ans;
double temp;
x = (double/*float*/)fabs(z.r);
y = (double/*float*/)fabs(z.i);
if (x == 0.0)
ans = y;
else if (y == 0.0)
ans = x;
else if (x > y) {
temp = (double)(y/x);
ans = x*(double/*float*/)sqrt(1.0+temp*temp);
}
else {
temp = (double)(x/y);
ans = y*(double/*float*/)sqrt(1.0+temp*temp);
}
return ans;
}
fcomplex Csqrt(fcomplex z)
{
fcomplex c;
double/*float*/ w;
double x,y,r;
if ((z.r == 0.0) && (z.i == 0.0)) {
c.r=0.0;
c.i=0.0;
return c;
}
else {
x=fabs(z.r);
y=fabs(z.i);
if (x >= y) {
r = y/x;
w = (double/*float*/)(sqrt(x)*sqrt(0.5*(1.0+sqrt(1.0+r*r))));
}
else {
r = x/y;
w = (double/*float*/)(sqrt(y)*sqrt(0.5*(r+sqrt(1.0+r*r))));
}
if (z.r >= 0.0) {
c.r = w;
c.i = z.i/(2.0*w);
} else {
c.i = (z.i >= 0.0) ? w : -w;
c.r = z.i/(2.0*c.i);
}
return c;
}
}
fcomplex RCmul(double/*float*/ x, fcomplex a)
{
fcomplex c;
c.r=x*a.r;
c.i=x*a.i;
return c;
}
|
