mirror of
https://github.com/jart/cosmopolitan.git
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e7eb0b3070
- 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
123 lines
4.2 KiB
C
123 lines
4.2 KiB
C
/*-*- mode:c;indent-tabs-mode:t;c-basic-offset:8;tab-width:8;coding:utf-8 -*-│
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│vi: set et ft=c ts=8 tw=8 fenc=utf-8 :vi│
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╚──────────────────────────────────────────────────────────────────────────────╝
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│ │
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│ OpenBSD /usr/src/lib/libm/src/s_catanl.c │
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│ │
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│ Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net> │
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│ │
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│ Permission to use, copy, modify, and distribute this software for any │
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│ purpose with or without fee is hereby granted, provided that the above │
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│ copyright notice and this permission notice appear in all copies. │
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│ │
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│ THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES │
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│ WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF │
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│ MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR │
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│ ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES │
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│ WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN │
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│ ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF │
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│ │
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╚─────────────────────────────────────────────────────────────────────────────*/
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#include "libc/complex.h"
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#include "libc/math.h"
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#include "libc/tinymath/complex.internal.h"
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#if !(LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024)
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asm(".ident\t\"\\n\\n\
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OpenBSD libm (ISC License)\\n\
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Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net>\"");
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asm(".ident\t\"\\n\\n\
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Musl libc (MIT License)\\n\
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Copyright 2005-2014 Rich Felker, et. al.\"");
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asm(".include \"libc/disclaimer.inc\"");
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// clang-format off
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/*
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* Complex circular arc tangent
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*
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*
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* SYNOPSIS:
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*
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* long double complex catanl();
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* long double complex z, w;
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*
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* w = catanl( z );
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*
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*
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* DESCRIPTION:
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*
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* If
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* z = x + iy,
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*
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* then
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* 1 ( 2x )
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* Re w = - arctan(-----------) + k PI
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* 2 ( 2 2)
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* (1 - x - y )
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*
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* ( 2 2)
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* 1 (x + (y+1) )
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* Im w = - log(------------)
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* 4 ( 2 2)
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* (x + (y-1) )
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*
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* Where k is an arbitrary integer.
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*
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*
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* ACCURACY:
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*
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* Relative error:
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* arithmetic domain # trials peak rms
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* DEC -10,+10 5900 1.3e-16 7.8e-18
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* IEEE -10,+10 30000 2.3e-15 8.5e-17
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* The check catan( ctan(z) ) = z, with |x| and |y| < PI/2,
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* had peak relative error 1.5e-16, rms relative error
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* 2.9e-17. See also clog().
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*/
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static const long double PIL = 3.141592653589793238462643383279502884197169L;
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static const long double DP1 = 3.14159265358979323829596852490908531763125L;
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static const long double DP2 = 1.6667485837041756656403424829301998703007e-19L;
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static const long double DP3 = 1.8830410776607851167459095484560349402753e-39L;
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static long double redupil(long double x)
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{
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long double t;
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long i;
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t = x / PIL;
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if (t >= 0.0L)
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t += 0.5L;
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else
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t -= 0.5L;
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i = t; /* the multiple */
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t = i;
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t = ((x - t * DP1) - t * DP2) - t * DP3;
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return t;
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}
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long double complex catanl(long double complex z)
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{
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long double complex w;
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long double a, t, x, x2, y;
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x = creall(z);
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y = cimagl(z);
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x2 = x * x;
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a = 1.0L - x2 - (y * y);
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t = atan2l(2.0L * x, a) * 0.5L;
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w = redupil(t);
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t = y - 1.0L;
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a = x2 + (t * t);
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t = y + 1.0L;
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a = (x2 + (t * t)) / a;
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w = CMPLXF(w, 0.25L * logl(a));
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return w;
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}
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#endif /* long double is long */
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