mirror of
https://github.com/jart/cosmopolitan.git
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592f6ebc20
- Write some more unit tests - memcpy() on ARM is now faster - Address the Musl complex math FIXME comments - Some libm funcs like pow() now support setting errno - Import the latest and greatest math functions from ARM - Use more accurate atan2f() and log1pf() implementations - atoi() and atol() will no longer saturate or clobber errno
107 lines
5.4 KiB
C
107 lines
5.4 KiB
C
/*-*- mode:c;indent-tabs-mode:t;c-basic-offset:8;tab-width:8;coding:utf-8 -*-│
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│ vi: set noet ft=c ts=8 sw=8 fenc=utf-8 :vi │
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╚──────────────────────────────────────────────────────────────────────────────╝
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│ │
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│ FreeBSD lib/msun/src/s_asinhl.c │
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│ Converted to ldbl by David Schultz <das@FreeBSD.ORG> and Bruce D. Evans. │
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│ │
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│ Copyright (c) 1992-2023 The FreeBSD Project. │
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│ │
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│ Redistribution and use in source and binary forms, with or without │
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│ modification, are permitted provided that the following conditions │
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│ are met: │
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│ 1. Redistributions of source code must retain the above copyright │
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│ notice, this list of conditions and the following disclaimer. │
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│ 2. Redistributions in binary form must reproduce the above copyright │
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│ notice, this list of conditions and the following disclaimer in the │
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│ documentation and/or other materials provided with the distribution. │
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│ │
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│ THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND │
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│ ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE │
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│ IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE │
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│ ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE │
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│ FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL │
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│ DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS │
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│ OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) │
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│ HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT │
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│ LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY │
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│ OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF │
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│ SUCH DAMAGE. │
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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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#include "libc/tinymath/freebsd.internal.h"
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__static_yoink("freebsd_libm_notice");
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__static_yoink("fdlibm_notice");
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#if !(LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024)
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/* EXP_LARGE is the threshold above which we use asinh(x) ~= log(2x). */
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/* EXP_TINY is the threshold below which we use asinh(x) ~= x. */
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#if LDBL_MANT_DIG == 64
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#define EXP_LARGE 34
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#define EXP_TINY -34
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#elif LDBL_MANT_DIG == 113
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#define EXP_LARGE 58
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#define EXP_TINY -58
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#else
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#error "Unsupported long double format"
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#endif
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#if LDBL_MAX_EXP != 0x4000
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/* We also require the usual expsign encoding. */
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#error "Unsupported long double format"
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#endif
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static const double
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one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
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huge= 1.00000000000000000000e+300;
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#if LDBL_MANT_DIG == 64
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static const union IEEEl2bits
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u_ln2 = LD80C(0xb17217f7d1cf79ac, -1, 6.93147180559945309417e-1L);
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#define ln2 u_ln2.e
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#elif LDBL_MANT_DIG == 113
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static const long double
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ln2 = 6.93147180559945309417232121458176568e-1L; /* 0x162e42fefa39ef35793c7673007e6.0p-113 */
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#else
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#error "Unsupported long double format"
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#endif
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/**
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* Returns inverse hyperbolic sine of 𝑥.
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* @define asinh(x) = sign(x)*log(|x|+sqrt(x*x+1)) ~= x - x^3/6 + o(x^5)
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*/
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long double
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asinhl(long double x)
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{
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long double t, w;
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uint16_t hx, ix;
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ENTERI();
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GET_LDBL_EXPSIGN(hx, x);
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ix = hx & 0x7fff;
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if (ix >= 0x7fff) RETURNI(x+x); /* x is inf, NaN or misnormal */
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if (ix < BIAS + EXP_TINY) { /* |x| < TINY, or misnormal */
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if (huge + x > one) RETURNI(x); /* return x inexact except 0 */
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}
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if (ix >= BIAS + EXP_LARGE) { /* |x| >= LARGE, or misnormal */
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w = logl(fabsl(x))+ln2;
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} else if (ix >= 0x4000) { /* LARGE > |x| >= 2.0, or misnormal */
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t = fabsl(x);
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w = logl(2.0*t+one/(sqrtl(x*x+one)+t));
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} else { /* 2.0 > |x| >= TINY, or misnormal */
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t = x*x;
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w =log1pl(fabsl(x)+t/(one+sqrtl(one+t)));
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}
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RETURNI((hx & 0x8000) == 0 ? w : -w);
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}
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#endif /* long double is long */
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