From a829ba6fb13522d8f361c28e65962b1e06073cf6 Mon Sep 17 00:00:00 2001 From: Aditya Upadhyay Date: Thu, 29 Jun 2017 01:34:23 +0530 Subject: [PATCH 07/18] Adding cephes_subrl.h and cephes_subrl.c from NetBSD. --- newlib/libm/complex/Makefile.am | 5 +- newlib/libm/complex/cephes_subrl.c | 128 +++++++++++++++++++++++++++++++++++++ newlib/libm/complex/cephes_subrl.h | 9 +++ 3 files changed, 140 insertions(+), 2 deletions(-) create mode 100755 newlib/libm/complex/cephes_subrl.c create mode 100755 newlib/libm/complex/cephes_subrl.h diff --git a/newlib/libm/complex/Makefile.am b/newlib/libm/complex/Makefile.am index 6eaa685..06706ea 100644 --- a/newlib/libm/complex/Makefile.am +++ b/newlib/libm/complex/Makefile.am @@ -11,7 +11,8 @@ src = cabs.c cacos.c cacosh.c carg.c casin.c casinh.c \ csin.c csinh.c csqrt.c ctan.c ctanh.c lsrc = cabsl.c creall.c cimagl.c ccoshl.c cacoshl.c \ - clogl.c csqrtl.c cargl.c cprojl.c cexpl.c + clogl.c csqrtl.c cargl.c cprojl.c cexpl.c \ + cephes_subrl.c fsrc = cabsf.c casinf.c ccosf.c cimagf.c cprojf.c \ csqrtf.c cacosf.c casinhf.c ccoshf.c clogf.c clog10f.c \ @@ -44,4 +45,4 @@ CHAPTERS = complex.tex # A partial dependency list. -$(lib_a_OBJECTS): $(srcdir)/../../libc/include/complex.h $(srcdir)/cephes_subr.h $(srcdir)/cephes_subrf.h +$(lib_a_OBJECTS): $(srcdir)/../../libc/include/complex.h $(srcdir)/cephes_subr.h $(srcdir)/cephes_subrf.h $(srcdir)/cephes_subrl.h diff --git a/newlib/libm/complex/cephes_subrl.c b/newlib/libm/complex/cephes_subrl.c new file mode 100755 index 0000000..8af11df --- /dev/null +++ b/newlib/libm/complex/cephes_subrl.c @@ -0,0 +1,128 @@ +/* $NetBSD: cephes_subrl.c,v 1.2 2014/10/10 14:06:40 christos Exp $ */ + +/*- + * Copyright (c) 2007 The NetBSD Foundation, Inc. + * All rights reserved. + * + * This code is derived from software written by Stephen L. Moshier. + * It is redistributed by the NetBSD Foundation by permission of the author. + * + * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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 +#include +#include "cephes_subrl.h" + +/* calculate cosh and sinh */ + +void +_cchshl(long double x, long double *c, long double *s) +{ + long double e, ei; + + if (fabsl(x) <= 0.5L) { + *c = coshl(x); + *s = sinhl(x); + } else { + e = expl(x); + ei = 0.5L / e; + e = 0.5L * e; + *s = e - ei; + *c = e + ei; + } +} + +/* Program to subtract nearest integer multiple of PI */ + +/* extended precision value of PI: */ +static const long double DP1 = 3.14159265358979323829596852490908531763125L; +static const long double DP2 = 1.6667485837041756656403424829301998703007e-19L; +#ifndef __vax__ +static const long double DP3 = 1.8830410776607851167459095484560349402753e-39L; +#define MACHEPL 1.1e-38L +#else +static const long double DP3 = 0L; +#define MACHEPL 1.1e-19L +#endif + +long double +_redupil(long double x) +{ + long double t; + long long i; + + t = x / M_PIL; + if (t >= 0.0L) + t += 0.5L; + else + t -= 0.5L; + + i = t; /* the multiple */ + t = i; + t = ((x - t * DP1) - t * DP2) - t * DP3; + return t; +} + +/* Taylor series expansion for cosh(2y) - cos(2x) */ + +long double +_ctansl(long double complex z) +{ + long double f, x, x2, y, y2, rn, t; + long double d; + + x = fabsl(2.0L * creall(z)); + y = fabsl(2.0L * cimagl(z)); + + x = _redupil(x); + + x = x * x; + y = y * y; + x2 = 1.0; + y2 = 1.0; + f = 1.0; + rn = 0.0; + d = 0.0; + do { + rn += 1.0L; + f *= rn; + rn += 1.0L; + f *= rn; + x2 *= x; + y2 *= y; + t = y2 + x2; + t /= f; + d += t; + + rn += 1.0L; + f *= rn; + rn += 1.0L; + f *= rn; + x2 *= x; + y2 *= y; + t = y2 - x2; + t /= f; + d += t; + } while (fabsl(t/d) > MACHEPL); + return d; +} diff --git a/newlib/libm/complex/cephes_subrl.h b/newlib/libm/complex/cephes_subrl.h new file mode 100755 index 0000000..6354b23 --- /dev/null +++ b/newlib/libm/complex/cephes_subrl.h @@ -0,0 +1,9 @@ +/* $NetBSD: cephes_subrl.h,v 1.1 2014/10/10 00:48:18 christos Exp $ */ + +void _cchshl(long double, long double *, long double *); +long double _redupil(long double); +long double _ctansl(long double complex); + +#define M_PIL 3.14159265358979323846264338327950280e+00L +#define M_PI_2L 1.57079632679489661923132169163975140e+00L + -- 2.7.4