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2aa62f2b | 1 | /* @(#)s_tanh.c 5.1 93/09/24 */\r |
2 | /*\r | |
3 | * ====================================================\r | |
4 | * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.\r | |
5 | *\r | |
6 | * Developed at SunPro, a Sun Microsystems, Inc. business.\r | |
7 | * Permission to use, copy, modify, and distribute this\r | |
8 | * software is freely granted, provided that this notice\r | |
9 | * is preserved.\r | |
10 | * ====================================================\r | |
11 | */\r | |
12 | #include <LibConfig.h>\r | |
13 | #include <sys/EfiCdefs.h>\r | |
14 | #if defined(LIBM_SCCS) && !defined(lint)\r | |
15 | __RCSID("$NetBSD: s_tanh.c,v 1.10 2002/05/26 22:01:59 wiz Exp $");\r | |
16 | #endif\r | |
17 | \r | |
18 | /* Tanh(x)\r | |
19 | * Return the Hyperbolic Tangent of x\r | |
20 | *\r | |
21 | * Method :\r | |
22 | * x -x\r | |
23 | * e - e\r | |
24 | * 0. tanh(x) is defined to be -----------\r | |
25 | * x -x\r | |
26 | * e + e\r | |
27 | * 1. reduce x to non-negative by tanh(-x) = -tanh(x).\r | |
28 | * 2. 0 <= x <= 2**-55 : tanh(x) := x*(one+x)\r | |
29 | * -t\r | |
30 | * 2**-55 < x <= 1 : tanh(x) := -----; t = expm1(-2x)\r | |
31 | * t + 2\r | |
32 | * 2\r | |
33 | * 1 <= x <= 22.0 : tanh(x) := 1- ----- ; t=expm1(2x)\r | |
34 | * t + 2\r | |
35 | * 22.0 < x <= INF : tanh(x) := 1.\r | |
36 | *\r | |
37 | * Special cases:\r | |
38 | * tanh(NaN) is NaN;\r | |
39 | * only tanh(0)=0 is exact for finite argument.\r | |
40 | */\r | |
41 | \r | |
42 | #include "math.h"\r | |
43 | #include "math_private.h"\r | |
44 | \r | |
45 | static const double one=1.0, two=2.0, tiny = 1.0e-300;\r | |
46 | \r | |
47 | double\r | |
48 | tanh(double x)\r | |
49 | {\r | |
50 | double t,z;\r | |
51 | int32_t jx,ix;\r | |
52 | \r | |
53 | /* High word of |x|. */\r | |
54 | GET_HIGH_WORD(jx,x);\r | |
55 | ix = jx&0x7fffffff;\r | |
56 | \r | |
57 | /* x is INF or NaN */\r | |
58 | if(ix>=0x7ff00000) {\r | |
59 | if (jx>=0) return one/x+one; /* tanh(+-inf)=+-1 */\r | |
60 | else return one/x-one; /* tanh(NaN) = NaN */\r | |
61 | }\r | |
62 | \r | |
63 | /* |x| < 22 */\r | |
64 | if (ix < 0x40360000) { /* |x|<22 */\r | |
65 | if (ix<0x3c800000) /* |x|<2**-55 */\r | |
66 | return x*(one+x); /* tanh(small) = small */\r | |
67 | if (ix>=0x3ff00000) { /* |x|>=1 */\r | |
68 | t = expm1(two*fabs(x));\r | |
69 | z = one - two/(t+two);\r | |
70 | } else {\r | |
71 | t = expm1(-two*fabs(x));\r | |
72 | z= -t/(t+two);\r | |
73 | }\r | |
74 | /* |x| > 22, return +-1 */\r | |
75 | } else {\r | |
76 | z = one - tiny; /* raised inexact flag */\r | |
77 | }\r | |
78 | return (jx>=0)? z: -z;\r | |
79 | }\r |