142 lines
3.4 KiB
C
142 lines
3.4 KiB
C
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/* @(#)w_jn.c 5.1 93/09/24 */
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/*
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* ====================================================
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* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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*
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* Developed at SunPro, a Sun Microsystems, Inc. business.
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* Permission to use, copy, modify, and distribute this
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* software is freely granted, provided that this notice
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* is preserved.
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* ====================================================
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*/
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/*
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* wrapper jn(int n, double x), yn(int n, double x)
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* floating point Bessel's function of the 1st and 2nd kind
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* of order n
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*
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* Special cases:
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* y0(0)=y1(0)=yn(n,0) = -inf with division by zero signal;
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* y0(-ve)=y1(-ve)=yn(n,-ve) are NaN with invalid signal.
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* Note 2. About jn(n,x), yn(n,x)
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* For n=0, j0(x) is called,
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* for n=1, j1(x) is called,
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* for n<x, forward recursion us used starting
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* from values of j0(x) and j1(x).
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* for n>x, a continued fraction approximation to
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* j(n,x)/j(n-1,x) is evaluated and then backward
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* recursion is used starting from a supposed value
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* for j(n,x). The resulting value of j(0,x) is
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* compared with the actual value to correct the
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* supposed value of j(n,x).
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*
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* yn(n,x) is similar in all respects, except
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* that forward recursion is used for all
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* values of n>1.
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*
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*/
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#include "fdlibm.h"
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#include <errno.h>
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#ifndef _DOUBLE_IS_32BITS
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#ifdef __STDC__
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double jn(int n, double x) /* wrapper jn */
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#else
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double jn(n,x) /* wrapper jn */
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double x; int n;
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#endif
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{
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#ifdef _IEEE_LIBM
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return __ieee754_jn(n,x);
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#else
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double z;
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struct exception exc;
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z = __ieee754_jn(n,x);
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if(_LIB_VERSION == _IEEE_ || isnan(x) ) return z;
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if(fabs(x)>X_TLOSS) {
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/* jn(|x|>X_TLOSS) */
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exc.type = TLOSS;
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exc.name = "jn";
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exc.err = 0;
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exc.arg1 = n;
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exc.arg2 = x;
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exc.retval = 0.0;
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if (_LIB_VERSION == _POSIX_)
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errno = ERANGE;
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else if (!matherr(&exc)) {
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errno = ERANGE;
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}
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if (exc.err != 0)
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errno = exc.err;
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return exc.retval;
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} else
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return z;
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#endif
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}
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#ifdef __STDC__
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double yn(int n, double x) /* wrapper yn */
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#else
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double yn(n,x) /* wrapper yn */
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double x; int n;
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#endif
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{
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#ifdef _IEEE_LIBM
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return __ieee754_yn(n,x);
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#else
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double z;
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struct exception exc;
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z = __ieee754_yn(n,x);
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if(_LIB_VERSION == _IEEE_ || isnan(x) ) return z;
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if(x <= 0.0){
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/* yn(n,0) = -inf or yn(x<0) = NaN */
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#ifndef HUGE_VAL
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#define HUGE_VAL inf
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double inf = 0.0;
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SET_HIGH_WORD(inf,0x7ff00000); /* set inf to infinite */
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#endif
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exc.type = DOMAIN; /* should be SING for IEEE */
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exc.name = "yn";
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exc.err = 0;
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exc.arg1 = n;
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exc.arg2 = x;
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if (_LIB_VERSION == _SVID_)
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exc.retval = -HUGE;
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else
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exc.retval = -HUGE_VAL;
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if (_LIB_VERSION == _POSIX_)
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errno = EDOM;
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else if (!matherr(&exc)) {
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errno = EDOM;
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}
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if (exc.err != 0)
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errno = exc.err;
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return exc.retval;
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}
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if(x>X_TLOSS) {
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/* yn(x>X_TLOSS) */
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exc.type = TLOSS;
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exc.name = "yn";
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exc.err = 0;
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exc.arg1 = n;
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exc.arg2 = x;
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exc.retval = 0.0;
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if (_LIB_VERSION == _POSIX_)
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errno = ERANGE;
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else if (!matherr(&exc)) {
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errno = ERANGE;
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}
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if (exc.err != 0)
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errno = exc.err;
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return exc.retval;
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} else
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return z;
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#endif
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}
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#endif /* defined(_DOUBLE_IS_32BITS) */
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