1 |
27 |
unneback |
//===========================================================================
|
2 |
|
|
//
|
3 |
|
|
// w_jn.c
|
4 |
|
|
//
|
5 |
|
|
// Part of the standard mathematical function library
|
6 |
|
|
//
|
7 |
|
|
//===========================================================================
|
8 |
|
|
//####ECOSGPLCOPYRIGHTBEGIN####
|
9 |
|
|
// -------------------------------------------
|
10 |
|
|
// This file is part of eCos, the Embedded Configurable Operating System.
|
11 |
|
|
// Copyright (C) 1998, 1999, 2000, 2001, 2002 Red Hat, Inc.
|
12 |
|
|
//
|
13 |
|
|
// eCos is free software; you can redistribute it and/or modify it under
|
14 |
|
|
// the terms of the GNU General Public License as published by the Free
|
15 |
|
|
// Software Foundation; either version 2 or (at your option) any later version.
|
16 |
|
|
//
|
17 |
|
|
// eCos is distributed in the hope that it will be useful, but WITHOUT ANY
|
18 |
|
|
// WARRANTY; without even the implied warranty of MERCHANTABILITY or
|
19 |
|
|
// FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
|
20 |
|
|
// for more details.
|
21 |
|
|
//
|
22 |
|
|
// You should have received a copy of the GNU General Public License along
|
23 |
|
|
// with eCos; if not, write to the Free Software Foundation, Inc.,
|
24 |
|
|
// 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA.
|
25 |
|
|
//
|
26 |
|
|
// As a special exception, if other files instantiate templates or use macros
|
27 |
|
|
// or inline functions from this file, or you compile this file and link it
|
28 |
|
|
// with other works to produce a work based on this file, this file does not
|
29 |
|
|
// by itself cause the resulting work to be covered by the GNU General Public
|
30 |
|
|
// License. However the source code for this file must still be made available
|
31 |
|
|
// in accordance with section (3) of the GNU General Public License.
|
32 |
|
|
//
|
33 |
|
|
// This exception does not invalidate any other reasons why a work based on
|
34 |
|
|
// this file might be covered by the GNU General Public License.
|
35 |
|
|
//
|
36 |
|
|
// Alternative licenses for eCos may be arranged by contacting Red Hat, Inc.
|
37 |
|
|
// at http://sources.redhat.com/ecos/ecos-license/
|
38 |
|
|
// -------------------------------------------
|
39 |
|
|
//####ECOSGPLCOPYRIGHTEND####
|
40 |
|
|
//===========================================================================
|
41 |
|
|
//#####DESCRIPTIONBEGIN####
|
42 |
|
|
//
|
43 |
|
|
// Author(s): jlarmour
|
44 |
|
|
// Contributors: jlarmour
|
45 |
|
|
// Date: 1998-02-13
|
46 |
|
|
// Purpose:
|
47 |
|
|
// Description:
|
48 |
|
|
// Usage:
|
49 |
|
|
//
|
50 |
|
|
//####DESCRIPTIONEND####
|
51 |
|
|
//
|
52 |
|
|
//===========================================================================
|
53 |
|
|
|
54 |
|
|
// CONFIGURATION
|
55 |
|
|
|
56 |
|
|
#include <pkgconf/libm.h> // Configuration header
|
57 |
|
|
|
58 |
|
|
// Include the Math library?
|
59 |
|
|
#ifdef CYGPKG_LIBM
|
60 |
|
|
|
61 |
|
|
// Derived from code with the following copyright
|
62 |
|
|
|
63 |
|
|
|
64 |
|
|
/* @(#)w_jn.c 1.3 95/01/18 */
|
65 |
|
|
/*
|
66 |
|
|
* ====================================================
|
67 |
|
|
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
|
68 |
|
|
*
|
69 |
|
|
* Developed at SunSoft, a Sun Microsystems, Inc. business.
|
70 |
|
|
* Permission to use, copy, modify, and distribute this
|
71 |
|
|
* software is freely granted, provided that this notice
|
72 |
|
|
* is preserved.
|
73 |
|
|
* ====================================================
|
74 |
|
|
*/
|
75 |
|
|
|
76 |
|
|
/*
|
77 |
|
|
* wrapper jn(int n, double x), yn(int n, double x)
|
78 |
|
|
* floating point Bessel's function of the 1st and 2nd kind
|
79 |
|
|
* of order n
|
80 |
|
|
*
|
81 |
|
|
* Special cases:
|
82 |
|
|
* y0(0)=y1(0)=yn(n,0) = -inf with division by zero signal;
|
83 |
|
|
* y0(-ve)=y1(-ve)=yn(n,-ve) are NaN with invalid signal.
|
84 |
|
|
* Note 2. About jn(n,x), yn(n,x)
|
85 |
|
|
* For n=0, j0(x) is called,
|
86 |
|
|
* for n=1, j1(x) is called,
|
87 |
|
|
* for n<x, forward recursion us used starting
|
88 |
|
|
* from values of j0(x) and j1(x).
|
89 |
|
|
* for n>x, a continued fraction approximation to
|
90 |
|
|
* j(n,x)/j(n-1,x) is evaluated and then backward
|
91 |
|
|
* recursion is used starting from a supposed value
|
92 |
|
|
* for j(n,x). The resulting value of j(0,x) is
|
93 |
|
|
* compared with the actual value to correct the
|
94 |
|
|
* supposed value of j(n,x).
|
95 |
|
|
*
|
96 |
|
|
* yn(n,x) is similar in all respects, except
|
97 |
|
|
* that forward recursion is used for all
|
98 |
|
|
* values of n>1.
|
99 |
|
|
*
|
100 |
|
|
*/
|
101 |
|
|
|
102 |
|
|
#include "mathincl/fdlibm.h"
|
103 |
|
|
|
104 |
|
|
double jn(int n, double x) /* wrapper jn */
|
105 |
|
|
{
|
106 |
|
|
#ifdef CYGSEM_LIBM_COMPAT_IEEE_ONLY
|
107 |
|
|
return __ieee754_jn(n,x);
|
108 |
|
|
#else
|
109 |
|
|
double z;
|
110 |
|
|
z = __ieee754_jn(n,x);
|
111 |
|
|
if(cyg_libm_get_compat_mode() == CYGNUM_LIBM_COMPAT_IEEE || isnan(x) ) return z;
|
112 |
|
|
if(fabs(x)>X_TLOSS) {
|
113 |
|
|
return __kernel_standard((double)n,x,38); /* jn(|x|>X_TLOSS,n) */
|
114 |
|
|
} else
|
115 |
|
|
return z;
|
116 |
|
|
#endif
|
117 |
|
|
}
|
118 |
|
|
|
119 |
|
|
double yn(int n, double x) /* wrapper yn */
|
120 |
|
|
{
|
121 |
|
|
#ifdef CYGSEM_LIBM_COMPAT_IEEE_ONLY
|
122 |
|
|
return __ieee754_yn(n,x);
|
123 |
|
|
#else
|
124 |
|
|
double z;
|
125 |
|
|
z = __ieee754_yn(n,x);
|
126 |
|
|
if(cyg_libm_get_compat_mode() == CYGNUM_LIBM_COMPAT_IEEE || isnan(x) ) return z;
|
127 |
|
|
if(x <= 0.0){
|
128 |
|
|
if(x==0.0)
|
129 |
|
|
/* d= -one/(x-x); */
|
130 |
|
|
return __kernel_standard((double)n,x,12);
|
131 |
|
|
else
|
132 |
|
|
/* d = zero/(x-x); */
|
133 |
|
|
return __kernel_standard((double)n,x,13);
|
134 |
|
|
}
|
135 |
|
|
if(x>X_TLOSS) {
|
136 |
|
|
return __kernel_standard((double)n,x,39); /* yn(x>X_TLOSS,n) */
|
137 |
|
|
} else
|
138 |
|
|
return z;
|
139 |
|
|
#endif
|
140 |
|
|
}
|
141 |
|
|
|
142 |
|
|
#endif // ifdef CYGPKG_LIBM
|
143 |
|
|
|
144 |
|
|
// EOF w_jn.c
|