cosmopolitan/libc/tinymath/asinhl.c
Justine Tunney e7eb0b3070
Make more ML improvements
- Fix UX issues with llama.com
- Do housekeeping on libm code
- Add more vectorization to GGML
- Get GGJT quantizer programs working well
- Have the quantizer keep the output layer as f16c
- Prefetching improves performance 15% if you use fewer threads
2023-05-16 08:07:23 -07:00

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/*-*- mode:c;indent-tabs-mode:t;c-basic-offset:8;tab-width:8;coding:utf-8 -*-│
│vi: set et ft=c ts=8 tw=8 fenc=utf-8 :vi│
╚──────────────────────────────────────────────────────────────────────────────╝
│ │
│ FreeBSD lib/msun/src/s_asinhl.c │
│ Converted to ldbl by David Schultz <das@FreeBSD.ORG> and Bruce D. Evans. │
│ │
│ Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. │
│ │
│ Developed at SunPro, a Sun Microsystems, Inc. business. │
│ Permission to use, copy, modify, and distribute this │
│ software is freely granted, provided that this notice │
│ is preserved. │
│ │
│ Copyright (c) 1992-2023 The FreeBSD Project. │
│ │
│ Redistribution and use in source and binary forms, with or without │
│ modification, are permitted provided that the following conditions │
│ are met: │
│ 1. Redistributions of source code must retain the above copyright │
│ notice, this list of conditions and the following disclaimer. │
│ 2. Redistributions in binary form must reproduce the above copyright │
│ notice, this list of conditions and the following disclaimer in the │
│ documentation and/or other materials provided with the distribution. │
│ │
│ THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND │
│ ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE │
│ IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE │
│ ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE │
│ FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL │
│ DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS │
│ OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) │
│ HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT │
│ LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY │
│ OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF │
│ SUCH DAMAGE. │
│ │
╚─────────────────────────────────────────────────────────────────────────────*/
#include "libc/math.h"
#include "libc/tinymath/freebsd.internal.h"
#if !(LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024)
asm(".ident\t\"\\n\\n\
FreeBSD libm (BSD-2 License)\\n\
Copyright (c) 2005-2011, Bruce D. Evans, Steven G. Kargl, David Schultz.\"");
asm(".ident\t\"\\n\\n\
fdlibm (fdlibm license)\\n\
Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.\"");
asm(".include \"libc/disclaimer.inc\"");
// clang-format off
/* EXP_LARGE is the threshold above which we use asinh(x) ~= log(2x). */
/* EXP_TINY is the threshold below which we use asinh(x) ~= x. */
#if LDBL_MANT_DIG == 64
#define EXP_LARGE 34
#define EXP_TINY -34
#elif LDBL_MANT_DIG == 113
#define EXP_LARGE 58
#define EXP_TINY -58
#else
#error "Unsupported long double format"
#endif
#if LDBL_MAX_EXP != 0x4000
/* We also require the usual expsign encoding. */
#error "Unsupported long double format"
#endif
static const double
one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
huge= 1.00000000000000000000e+300;
#if LDBL_MANT_DIG == 64
static const union IEEEl2bits
u_ln2 = LD80C(0xb17217f7d1cf79ac, -1, 6.93147180559945309417e-1L);
#define ln2 u_ln2.e
#elif LDBL_MANT_DIG == 113
static const long double
ln2 = 6.93147180559945309417232121458176568e-1L; /* 0x162e42fefa39ef35793c7673007e6.0p-113 */
#else
#error "Unsupported long double format"
#endif
/**
* Returns inverse hyperbolic sine of 𝑥.
* @define asinh(x) = sign(x)*log(|x|+sqrt(x*x+1)) ~= x - x^3/6 + o(x^5)
*/
long double
asinhl(long double x)
{
long double t, w;
uint16_t hx, ix;
ENTERI();
GET_LDBL_EXPSIGN(hx, x);
ix = hx & 0x7fff;
if (ix >= 0x7fff) RETURNI(x+x); /* x is inf, NaN or misnormal */
if (ix < BIAS + EXP_TINY) { /* |x| < TINY, or misnormal */
if (huge + x > one) RETURNI(x); /* return x inexact except 0 */
}
if (ix >= BIAS + EXP_LARGE) { /* |x| >= LARGE, or misnormal */
w = logl(fabsl(x))+ln2;
} else if (ix >= 0x4000) { /* LARGE > |x| >= 2.0, or misnormal */
t = fabsl(x);
w = logl(2.0*t+one/(sqrtl(x*x+one)+t));
} else { /* 2.0 > |x| >= TINY, or misnormal */
t = x*x;
w =log1pl(fabsl(x)+t/(one+sqrtl(one+t)));
}
RETURNI((hx & 0x8000) == 0 ? w : -w);
}
#endif /* long double is long */