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957c61cbbf
This change upgrades to GCC 12.3 and GNU binutils 2.42. The GNU linker appears to have changed things so that only a single de-duplicated str table is present in the binary, and it gets placed wherever the linker wants, regardless of what the linker script says. To cope with that we need to stop using .ident to embed licenses. As such, this change does significant work to revamp how third party licenses are defined in the codebase, using `.section .notice,"aR",@progbits`. This new GCC 12.3 toolchain has support for GNU indirect functions. It lets us support __target_clones__ for the first time. This is used for optimizing the performance of libc string functions such as strlen and friends so far on x86, by ensuring AVX systems favor a second codepath that uses VEX encoding. It shaves some latency off certain operations. It's a useful feature to have for scientific computing for the reasons explained by the test/libcxx/openmp_test.cc example which compiles for fifteen different microarchitectures. Thanks to the upgrades, it's now also possible to use newer instruction sets, such as AVX512FP16, VNNI. Cosmo now uses the %gs register on x86 by default for TLS. Doing it is helpful for any program that links `cosmo_dlopen()`. Such programs had to recompile their binaries at startup to change the TLS instructions. That's not great, since it means every page in the executable needs to be faulted. The work of rewriting TLS-related x86 opcodes, is moved to fixupobj.com instead. This is great news for MacOS x86 users, since we previously needed to morph the binary every time for that platform but now that's no longer necessary. The only platforms where we need fixup of TLS x86 opcodes at runtime are now Windows, OpenBSD, and NetBSD. On Windows we morph TLS to point deeper into the TIB, based on a TlsAlloc assignment, and on OpenBSD/NetBSD we morph %gs back into %fs since the kernels do not allow us to specify a value for the %gs register. OpenBSD users are now required to use APE Loader to run Cosmo binaries and assimilation is no longer possible. OpenBSD kernel needs to change to allow programs to specify a value for the %gs register, or it needs to stop marking executable pages loaded by the kernel as mimmutable(). This release fixes __constructor__, .ctor, .init_array, and lastly the .preinit_array so they behave the exact same way as glibc. We no longer use hex constants to define math.h symbols like M_PI.
157 lines
7.1 KiB
C
157 lines
7.1 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_tanhf.c │
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│ Converted to long double by Bruce D. Evans. │
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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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│ 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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╚─────────────────────────────────────────────────────────────────────────────*/
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#include "libc/math.h"
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#include "libc/tinymath/freebsd.internal.h"
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__static_yoink("fdlibm_notice");
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__static_yoink("freebsd_libm_notice");
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#if !(LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024)
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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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#define BIAS (LDBL_MAX_EXP - 1)
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static const volatile long double huge = 0x1p10000L, tiny = 0x1p-10000L;
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#if LDBL_MANT_DIG == 64
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/*
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* Domain [-1, 1], range ~[-1.8211e-21, 1.8211e-21]:
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* |cosh(x) - c(x)| < 2**-68.8
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*/
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static const union IEEEl2bits
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C4u = LD80C(0xaaaaaaaaaaaaac78, -5, 4.16666666666666682297e-2L);
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#define C4 C4u.e
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static const double
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C2 = 0.5,
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C6 = 1.3888888888888616e-3, /* 0x16c16c16c16b99.0p-62 */
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C8 = 2.4801587301767953e-5, /* 0x1a01a01a027061.0p-68 */
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C10 = 2.7557319163300398e-7, /* 0x127e4fb6c9b55f.0p-74 */
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C12 = 2.0876768371393075e-9, /* 0x11eed99406a3f4.0p-81 */
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C14 = 1.1469537039374480e-11, /* 0x1938c67cd18c48.0p-89 */
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C16 = 4.8473490896852041e-14; /* 0x1b49c429701e45.0p-97 */
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#elif LDBL_MANT_DIG == 113
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/*
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* Domain [-1, 1], range ~[-2.3194e-37, 2.3194e-37]:
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* |cosh(x) - c(x)| < 2**-121.69
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*/
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static const long double
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C4 = 4.16666666666666666666666666666666225e-2L, /* 0x1555555555555555555555555554e.0p-117L */
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C6 = 1.38888888888888888888888888889434831e-3L, /* 0x16c16c16c16c16c16c16c16c1dd7a.0p-122L */
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C8 = 2.48015873015873015873015871870962089e-5L, /* 0x1a01a01a01a01a01a01a017af2756.0p-128L */
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C10 = 2.75573192239858906525574318600800201e-7L, /* 0x127e4fb7789f5c72ef01c8a040640.0p-134L */
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C12 = 2.08767569878680989791444691755468269e-9L, /* 0x11eed8eff8d897b543d0679607399.0p-141L */
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C14= 1.14707455977297247387801189650495351e-11L, /* 0x193974a8c07c9d24ae169a7fa9b54.0p-149L */
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C16 = 4.77947733238737883626416876486279985e-14L; /* 0x1ae7f3e733b814d4e1b90f5727fe4.0p-157L */
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static const double
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C2 = 0.5,
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C18 = 1.5619206968597871e-16, /* 0x16827863b9900b.0p-105 */
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C20 = 4.1103176218528049e-19, /* 0x1e542ba3d3c269.0p-114 */
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C22 = 8.8967926401641701e-22, /* 0x10ce399542a014.0p-122 */
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C24 = 1.6116681626523904e-24, /* 0x1f2c981d1f0cb7.0p-132 */
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C26 = 2.5022374732804632e-27; /* 0x18c7ecf8b2c4a0.0p-141 */
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#else
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#error "Unsupported long double format"
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#endif /* LDBL_MANT_DIG == 64 */
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/* log(2**16385 - 0.5) rounded up: */
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static const float
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o_threshold = 1.13572168e4; /* 0xb174de.0p-10 */
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/**
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* Returns hyperbolic cosine of 𝑥.
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*
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* cosh(x) = (exp(x) + 1/exp(x))/2
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* = 1 + 0.5*(exp(x)-1)*(exp(x)-1)/exp(x)
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* = 1 + x*x/2 + o(x^4)
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*/
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long double
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coshl(long double x)
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{
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long double hi,lo,x2,x4;
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(void)x4;
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#if LDBL_MANT_DIG == 113
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double dx2;
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#endif
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uint16_t ix;
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GET_LDBL_EXPSIGN(ix,x);
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ix &= 0x7fff;
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/* x is INF or NaN */
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if(ix>=0x7fff) return x*x;
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ENTERI();
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/* |x| < 1, return 1 or c(x) */
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if(ix<0x3fff) {
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if (ix<BIAS-(LDBL_MANT_DIG+1)/2) /* |x| < TINY */
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RETURNI(1+tiny); /* cosh(tiny) = 1(+) with inexact */
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x2 = x*x;
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#if LDBL_MANT_DIG == 64
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x4 = x2*x2;
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RETURNI(((C16*x2 + C14)*x4 + (C12*x2 + C10))*(x4*x4*x2) +
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((C8*x2 + C6)*x2 + C4)*x4 + C2*x2 + 1);
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#elif LDBL_MANT_DIG == 113
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dx2 = x2;
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RETURNI((((((((((((C26*dx2 + C24)*dx2 + C22)*dx2 +
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C20)*x2 + C18)*x2 +
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C16)*x2 + C14)*x2 + C12)*x2 + C10)*x2 + C8)*x2 + C6)*x2 +
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C4)*(x2*x2) + C2*x2 + 1);
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#endif
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}
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/* |x| in [1, 64), return accurate exp(|x|)/2+1/exp(|x|)/2 */
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if (ix < 0x4005) {
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k_hexpl(fabsl(x), &hi, &lo);
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RETURNI(lo + 0.25/(hi + lo) + hi);
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}
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/* |x| in [64, o_threshold], return correctly-overflowing exp(|x|)/2 */
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if (fabsl(x) <= o_threshold)
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RETURNI(hexpl(fabsl(x)));
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/* |x| > o_threshold, cosh(x) overflow */
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RETURNI(huge*huge);
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}
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#endif /* long double is long */
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