| e_j1.c (279856) | e_j1.c (283032) |
|---|---|
| 1 2/* @(#)e_j1.c 1.3 95/01/18 */ 3/* 4 * ==================================================== 5 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. 6 * 7 * Developed at SunSoft, a Sun Microsystems, Inc. business. 8 * Permission to use, copy, modify, and distribute this 9 * software is freely granted, provided that this notice 10 * is preserved. 11 * ==================================================== 12 */ 13 14#include <sys/cdefs.h> | 1 2/* @(#)e_j1.c 1.3 95/01/18 */ 3/* 4 * ==================================================== 5 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. 6 * 7 * Developed at SunSoft, a Sun Microsystems, Inc. business. 8 * Permission to use, copy, modify, and distribute this 9 * software is freely granted, provided that this notice 10 * is preserved. 11 * ==================================================== 12 */ 13 14#include <sys/cdefs.h> |
| 15__FBSDID("$FreeBSD: head/lib/msun/src/e_j1.c 279856 2015-03-10 17:10:54Z kargl $"); | 15__FBSDID("$FreeBSD: head/lib/msun/src/e_j1.c 283032 2015-05-17 16:27:06Z kargl $"); |
| 16 17/* __ieee754_j1(x), __ieee754_y1(x) 18 * Bessel function of the first and second kinds of order zero. 19 * Method -- j1(x): 20 * 1. For tiny x, we use j1(x) = x/2 - x^3/16 + x^5/384 - ... 21 * 2. Reduce x to |x| since j1(x)=-j1(-x), and 22 * for x in (0,2) 23 * j1(x) = x/2 + x*z*R0/S0, where z = x*x; --- 33 unchanged lines hidden (view full) --- 57 * y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x1)+q1(x)*cos(x1)) 58 * where x1 = x-3*pi/4. It is better to compute sin(x1),cos(x1) 59 * by method mentioned above. 60 */ 61 62#include "math.h" 63#include "math_private.h" 64 | 16 17/* __ieee754_j1(x), __ieee754_y1(x) 18 * Bessel function of the first and second kinds of order zero. 19 * Method -- j1(x): 20 * 1. For tiny x, we use j1(x) = x/2 - x^3/16 + x^5/384 - ... 21 * 2. Reduce x to |x| since j1(x)=-j1(-x), and 22 * for x in (0,2) 23 * j1(x) = x/2 + x*z*R0/S0, where z = x*x; --- 33 unchanged lines hidden (view full) --- 57 * y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x1)+q1(x)*cos(x1)) 58 * where x1 = x-3*pi/4. It is better to compute sin(x1),cos(x1) 59 * by method mentioned above. 60 */ 61 62#include "math.h" 63#include "math_private.h" 64 |
| 65static double pone(double), qone(double); | 65static __inline double pone(double), qone(double); |
| 66 67static const volatile double vone = 1, vzero = 0; 68 69static const double 70huge = 1e300, 71one = 1.0, 72invsqrtpi= 5.64189583547756279280e-01, /* 0x3FE20DD7, 0x50429B6D */ 73tpi = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */ --- 313 unchanged lines hidden --- | 66 67static const volatile double vone = 1, vzero = 0; 68 69static const double 70huge = 1e300, 71one = 1.0, 72invsqrtpi= 5.64189583547756279280e-01, /* 0x3FE20DD7, 0x50429B6D */ 73tpi = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */ --- 313 unchanged lines hidden --- |