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gcc/libquadmath/math/sincosq_kernel.c
Joseph Myers 4239f144ce Update most of libquadmath/math/ from glibc, automate update (PR libquadmath/68686). 
libquadmath sources are mostly based on glibc sources at present, but
derived from them by a manual editing / substitution process and with
subsequent manual merges.  The manual effort involved in merges means
they are sometimes incomplete and long-delayed.

Since libquadmath was first created, glibc's support for this format
has undergone significant changes so that it can also be used in glibc
to provide *f128 functions for the _Float128 type from TS 18661-3.
This makes it significantly easier to use it for libquadmath in a more
automated fashion, since glibc has a float128_private.h header that
redefines many identifiers as macros as needed for building *f128
functions.

Simply using float128_private.h directly in libquadmath, with
unmodified glibc sources except for changing function names in that
one header to be *q instead of *f128, would be tricky, given its
dependence on lots of other glibc-internal headers (whereas
libquadmath supports non-glibc systems), and also given how some libm
functions in glibc are built from type-generic templates using a
further set of macros rather than from separate function
implementations for each type.

So instead this patch adds a script update-quadmath.py to convert
glibc sources into libquadmath ones, and the script reads
float128_private.h to identify many of the substitutions it should
make.  quadmath-imp.h is updated with various new internal
definitions, taken from glibc as needed; this is the main place
expected to need updating manually when subsequent merges from glibc
are done using the script.  No attempt is made to make the script
output match the details of existing formatting, although the
differences are of a size that makes a rough comparison (ignoring
whitespace) possible.

Two new public interfaces are added to libquadmath, exp2q and
issignalingq, at a new QUADMATH_1.2 symbol version, since those
interfaces are used internally by some of the glibc sources being
merged into libquadmath; although there is a new symbol version, no
change however is made to the libtool version in the libtool-version
file.  Although there are various other interfaces now in glibc libm
but not in libquadmath, this patch does nothing to add such interfaces
(although adding many of them would in fact be easy to do, given the
script).

One internal file (not providing any public interfaces),
math/isinf_nsq.c, is removed, as no longer used by anything in
libquadmath after the merge.

Conditionals in individual source files on <fenv.h> availability or
features are moved into quadmath-imp.h (providing trivial macro
versions of the functions if real implementations aren't available),
to simplify the substitutions in individual source files.  Note
however that I haven't tested for any configurations lacking <fenv.h>,
so further changes could well be needed there.

Two files in libquadmath/math/ are based on glibc sources but not
updated in this patch: fmaq.c and rem_pio2q.c.  Both could be updated
after further changes to the script (and quadmath-imp.h as needed); in
the case of rem_pio2q.c, based on two separate glibc source files,
those separate files would naturally be split out into separate
libquadmath source files in the process (as done in this patch with
expq_table.h and tanq_kernel.c, where previously two glibc source
files had been merged into one libquadmath source file).  complex.c,
nanq.c and sqrtq.c are not based on glibc sources (though four of the
(trivial) functions in complex.c could readily be replaced by instead
using the four corresponding files from glibc, if desired).

libquadmath also has printf/ and strtod/ sources based on glibc, also
mostly not updated for a long time.  Again the script could no doubt
be made to generate those automatically, although that would be a
larger change (effectively some completely separate logic in the
script, not sharing much if anything with the existing code).

Bootstrapped with no regressions on x86_64-pc-linux-gnu.

	PR libquadmath/68686
	* Makefile.am: (libquadmath_la_SOURCES): Remove math/isinf_nsq.c.
	Add math/exp2q.c math/issignalingq.c math/lgammaq_neg.c
	math/lgammaq_product.c math/tanq_kernel.c math/tgammaq_product.c
	math/casinhq_kernel.c.
	* Makefile.in: Regenerate.
	* libquadmath.texi (exp2q, issignalingq): Document.
	* quadmath-imp.h: Include <errno.h>, <limits.h>, <stdbool.h> and
	<fenv.h>.
	(HIGH_ORDER_BIT_IS_SET_FOR_SNAN, FIX_FLT128_LONG_CONVERT_OVERFLOW)
	(FIX_FLT128_LLONG_CONVERT_OVERFLOW, __quadmath_kernel_tanq)
	(__quadmath_gamma_productq, __quadmath_gammaq_r)
	(__quadmath_lgamma_negq, __quadmath_lgamma_productq)
	(__quadmath_lgammaq_r, __quadmath_kernel_casinhq, mul_splitq)
	(math_check_force_underflow_complex, __glibc_likely)
	(__glibc_unlikely, struct rm_ctx, SET_RESTORE_ROUNDF128)
	(libc_feholdsetround_ctx, libc_feresetround_ctx): New.
	(feraiseexcept, fenv_t, feholdexcept, fesetround, feupdateenv)
	(fesetenv, fetestexcept, feclearexcept): Define if not supported
	through <fenv.h>.
	(__quadmath_isinf_nsq): Remove.
	* quadmath.h (exp2q, issignalingq): New.
	* quadmath.map (QUADMATH_1.2): New.
	* quadmath_weak.h (exp2q, issignalingq): New.
	* update-quadmath.py: New file.
	* math/isinf_nsq.c: Remove file.
	* math/casinhq_kernel.c, math/exp2q.c, math/expq_table.h,
	math/issignalingq.c, math/lgammaq_neg.c, math/lgammaq_product.c,
	math/tanq_kernel.c, math/tgammaq_product.c: New files.  Generated
	from glibc sources with update-quadmath.py.
	* math/acoshq.c, math/acosq.c, math/asinhq.c, math/asinq.c,
	math/atan2q.c, math/atanhq.c, math/atanq.c, math/cacoshq.c,
	math/cacosq.c, math/casinhq.c, math/casinq.c, math/catanhq.c,
	math/catanq.c, math/cbrtq.c, math/ccoshq.c, math/ceilq.c,
	math/cexpq.c, math/cimagq.c, math/clog10q.c, math/clogq.c,
	math/conjq.c, math/copysignq.c, math/coshq.c, math/cosq.c,
	math/cosq_kernel.c, math/cprojq.c, math/crealq.c, math/csinhq.c,
	math/csinq.c, math/csqrtq.c, math/ctanhq.c, math/ctanq.c,
	math/erfq.c, math/expm1q.c, math/expq.c, math/fabsq.c,
	math/fdimq.c, math/finiteq.c, math/floorq.c, math/fmaxq.c,
	math/fminq.c, math/fmodq.c, math/frexpq.c, math/hypotq.c,
	math/ilogbq.c, math/isinfq.c, math/isnanq.c, math/j0q.c,
	math/j1q.c, math/jnq.c, math/ldexpq.c, math/lgammaq.c,
	math/llrintq.c, math/llroundq.c, math/log10q.c, math/log1pq.c,
	math/log2q.c, math/logbq.c, math/logq.c, math/lrintq.c,
	math/lroundq.c, math/modfq.c, math/nearbyintq.c,
	math/nextafterq.c, math/powq.c, math/remainderq.c, math/remquoq.c,
	math/rintq.c, math/roundq.c, math/scalblnq.c, math/scalbnq.c,
	math/signbitq.c, math/sincos_table.c, math/sincosq.c,
	math/sincosq_kernel.c, math/sinhq.c, math/sinq.c,
	math/sinq_kernel.c, math/tanhq.c, math/tanq.c, math/tgammaq.c,
	math/truncq.c, math/x2y2m1q.c: Regenerate from glibc sources with
	update-quadmath.py.

From-SVN: r265822
2018-11-05 23:03:55 +00:00

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/* Quad-precision floating point sine and cosine on <-pi/4,pi/4>.
Copyright (C) 1999-2018 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Jakub Jelinek <jj@ultra.linux.cz>
The GNU C Library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 of the License, or (at your option) any later version.
The GNU C Library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
License along with the GNU C Library; if not, see
<http://www.gnu.org/licenses/>. */
#include "quadmath-imp.h"
static const __float128 c[] = {
#define ONE c[0]
1.00000000000000000000000000000000000E+00Q, /* 3fff0000000000000000000000000000 */
/* cos x ~ ONE + x^2 ( SCOS1 + SCOS2 * x^2 + ... + SCOS4 * x^6 + SCOS5 * x^8 )
x in <0,1/256> */
#define SCOS1 c[1]
#define SCOS2 c[2]
#define SCOS3 c[3]
#define SCOS4 c[4]
#define SCOS5 c[5]
-5.00000000000000000000000000000000000E-01Q, /* bffe0000000000000000000000000000 */
4.16666666666666666666666666556146073E-02Q, /* 3ffa5555555555555555555555395023 */
-1.38888888888888888888309442601939728E-03Q, /* bff56c16c16c16c16c16a566e42c0375 */
2.48015873015862382987049502531095061E-05Q, /* 3fefa01a01a019ee02dcf7da2d6d5444 */
-2.75573112601362126593516899592158083E-07Q, /* bfe927e4f5dce637cb0b54908754bde0 */
/* cos x ~ ONE + x^2 ( COS1 + COS2 * x^2 + ... + COS7 * x^12 + COS8 * x^14 )
x in <0,0.1484375> */
#define COS1 c[6]
#define COS2 c[7]
#define COS3 c[8]
#define COS4 c[9]
#define COS5 c[10]
#define COS6 c[11]
#define COS7 c[12]
#define COS8 c[13]
-4.99999999999999999999999999999999759E-01Q, /* bffdfffffffffffffffffffffffffffb */
4.16666666666666666666666666651287795E-02Q, /* 3ffa5555555555555555555555516f30 */
-1.38888888888888888888888742314300284E-03Q, /* bff56c16c16c16c16c16c16a463dfd0d */
2.48015873015873015867694002851118210E-05Q, /* 3fefa01a01a01a01a0195cebe6f3d3a5 */
-2.75573192239858811636614709689300351E-07Q, /* bfe927e4fb7789f5aa8142a22044b51f */
2.08767569877762248667431926878073669E-09Q, /* 3fe21eed8eff881d1e9262d7adff4373 */
-1.14707451049343817400420280514614892E-11Q, /* bfda9397496922a9601ed3d4ca48944b */
4.77810092804389587579843296923533297E-14Q, /* 3fd2ae5f8197cbcdcaf7c3fb4523414c */
/* sin x ~ ONE * x + x^3 ( SSIN1 + SSIN2 * x^2 + ... + SSIN4 * x^6 + SSIN5 * x^8 )
x in <0,1/256> */
#define SSIN1 c[14]
#define SSIN2 c[15]
#define SSIN3 c[16]
#define SSIN4 c[17]
#define SSIN5 c[18]
-1.66666666666666666666666666666666659E-01Q, /* bffc5555555555555555555555555555 */
8.33333333333333333333333333146298442E-03Q, /* 3ff81111111111111111111110fe195d */
-1.98412698412698412697726277416810661E-04Q, /* bff2a01a01a01a01a019e7121e080d88 */
2.75573192239848624174178393552189149E-06Q, /* 3fec71de3a556c640c6aaa51aa02ab41 */
-2.50521016467996193495359189395805639E-08Q, /* bfe5ae644ee90c47dc71839de75b2787 */
/* sin x ~ ONE * x + x^3 ( SIN1 + SIN2 * x^2 + ... + SIN7 * x^12 + SIN8 * x^14 )
x in <0,0.1484375> */
#define SIN1 c[19]
#define SIN2 c[20]
#define SIN3 c[21]
#define SIN4 c[22]
#define SIN5 c[23]
#define SIN6 c[24]
#define SIN7 c[25]
#define SIN8 c[26]
-1.66666666666666666666666666666666538e-01Q, /* bffc5555555555555555555555555550 */
8.33333333333333333333333333307532934e-03Q, /* 3ff811111111111111111111110e7340 */
-1.98412698412698412698412534478712057e-04Q, /* bff2a01a01a01a01a01a019e7a626296 */
2.75573192239858906520896496653095890e-06Q, /* 3fec71de3a556c7338fa38527474b8f5 */
-2.50521083854417116999224301266655662e-08Q, /* bfe5ae64567f544e16c7de65c2ea551f */
1.60590438367608957516841576404938118e-10Q, /* 3fde6124613a811480538a9a41957115 */
-7.64716343504264506714019494041582610e-13Q, /* bfd6ae7f3d5aef30c7bc660b060ef365 */
2.81068754939739570236322404393398135e-15Q, /* 3fce9510115aabf87aceb2022a9a9180 */
};
#define SINCOSL_COS_HI 0
#define SINCOSL_COS_LO 1
#define SINCOSL_SIN_HI 2
#define SINCOSL_SIN_LO 3
extern const __float128 __sincosq_table[];
void
__quadmath_kernel_sincosq(__float128 x, __float128 y, __float128 *sinx, __float128 *cosx, int iy)
{
__float128 h, l, z, sin_l, cos_l_m1;
int64_t ix;
uint32_t tix, hix, index;
GET_FLT128_MSW64 (ix, x);
tix = ((uint64_t)ix) >> 32;
tix &= ~0x80000000; /* tix = |x|'s high 32 bits */
if (tix < 0x3ffc3000) /* |x| < 0.1484375 */
{
/* Argument is small enough to approximate it by a Chebyshev
polynomial of degree 16(17). */
if (tix < 0x3fc60000) /* |x| < 2^-57 */
{
math_check_force_underflow (x);
if (!((int)x)) /* generate inexact */
{
*sinx = x;
*cosx = ONE;
return;
}
}
z = x * x;
*sinx = x + (x * (z*(SIN1+z*(SIN2+z*(SIN3+z*(SIN4+
z*(SIN5+z*(SIN6+z*(SIN7+z*SIN8)))))))));
*cosx = ONE + (z*(COS1+z*(COS2+z*(COS3+z*(COS4+
z*(COS5+z*(COS6+z*(COS7+z*COS8))))))));
}
else
{
/* So that we don't have to use too large polynomial, we find
l and h such that x = l + h, where fabsq(l) <= 1.0/256 with 83
possible values for h. We look up cosq(h) and sinq(h) in
pre-computed tables, compute cosq(l) and sinq(l) using a
Chebyshev polynomial of degree 10(11) and compute
sinq(h+l) = sinq(h)cosq(l) + cosq(h)sinq(l) and
cosq(h+l) = cosq(h)cosq(l) - sinq(h)sinq(l). */
index = 0x3ffe - (tix >> 16);
hix = (tix + (0x200 << index)) & (0xfffffc00 << index);
if (signbitq (x))
{
x = -x;
y = -y;
}
switch (index)
{
case 0: index = ((45 << 10) + hix - 0x3ffe0000) >> 8; break;
case 1: index = ((13 << 11) + hix - 0x3ffd0000) >> 9; break;
default:
case 2: index = (hix - 0x3ffc3000) >> 10; break;
}
SET_FLT128_WORDS64(h, ((uint64_t)hix) << 32, 0);
if (iy)
l = y - (h - x);
else
l = x - h;
z = l * l;
sin_l = l*(ONE+z*(SSIN1+z*(SSIN2+z*(SSIN3+z*(SSIN4+z*SSIN5)))));
cos_l_m1 = z*(SCOS1+z*(SCOS2+z*(SCOS3+z*(SCOS4+z*SCOS5))));
z = __sincosq_table [index + SINCOSL_SIN_HI]
+ (__sincosq_table [index + SINCOSL_SIN_LO]
+ (__sincosq_table [index + SINCOSL_SIN_HI] * cos_l_m1)
+ (__sincosq_table [index + SINCOSL_COS_HI] * sin_l));
*sinx = (ix < 0) ? -z : z;
*cosx = __sincosq_table [index + SINCOSL_COS_HI]
+ (__sincosq_table [index + SINCOSL_COS_LO]
- (__sincosq_table [index + SINCOSL_SIN_HI] * sin_l
- __sincosq_table [index + SINCOSL_COS_HI] * cos_l_m1));
}
}
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