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ldbl-128: Use L(x) macro for long double constants

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This runs the attached sed script against these files using
a regex which aggressively matches long double literals
when not obviously part of a comment.

Likewise, 5 digit or less integral constants are replaced
with integer constants, excepting the two cases of 0 used
in large tables, which are also the only integral values
of the form x.0*E0L encountered within these converted
files.

Likewise, -L(x) is transformed into L(-x).

Naturally, the script has a few minor hiccups which are
more clearly remedied via the attached fixup patch.  Such
hiccups include, context-sensitive promotion to a real
type, and munging constants inside harder to detect
comment blocks.
This commit is contained in:
Paul E. Murphy 2016-09-02 11:01:07 -05:00
parent fd37b5a78a
commit 02bbfb414f
51 changed files with 3983 additions and 3925 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

58
ChangeLog
View File

@ -1,3 +1,61 @@
2016-09-13 Paul E. Murphy <murphyp@linux.vnet.ibm.com>
* sysdeps/ieee754/ldbl-128/e_acoshl.c: Wrap long double literals
with L() and remove explicit suffix, convert real literals
which can be equivalentally substituted with integers, and
transform -L(x) to L(-x).
* sysdeps/ieee754/ldbl-128/e_acosl.c: Likewise.
* sysdeps/ieee754/ldbl-128/e_asinl.c: Likewise.
* sysdeps/ieee754/ldbl-128/e_atan2l.c: Likewise.
* sysdeps/ieee754/ldbl-128/e_atanhl.c: Likewise.
* sysdeps/ieee754/ldbl-128/e_coshl.c: Likewise.
* sysdeps/ieee754/ldbl-128/e_exp10l.c: Likewise.
* sysdeps/ieee754/ldbl-128/e_expl.c: Likewise.
* sysdeps/ieee754/ldbl-128/e_gammal_r.c: Likewise.
* sysdeps/ieee754/ldbl-128/e_hypotl.c: Likewise.
* sysdeps/ieee754/ldbl-128/e_j0l.c: Likewise.
* sysdeps/ieee754/ldbl-128/e_j1l.c: Likewise.
* sysdeps/ieee754/ldbl-128/e_jnl.c: Likewise.
* sysdeps/ieee754/ldbl-128/e_lgammal_r.c: Likewise.
* sysdeps/ieee754/ldbl-128/e_log10l.c: Likewise.
* sysdeps/ieee754/ldbl-128/e_log2l.c: Likewise.
* sysdeps/ieee754/ldbl-128/e_logl.c: Likewise.
* sysdeps/ieee754/ldbl-128/e_powl.c: Likewise.
* sysdeps/ieee754/ldbl-128/e_rem_pio2l.c: Likewise.
* sysdeps/ieee754/ldbl-128/e_remainderl.c: Likewise.
* sysdeps/ieee754/ldbl-128/e_sinhl.c: Likewise.
* sysdeps/ieee754/ldbl-128/k_cosl.c: Likewise.
* sysdeps/ieee754/ldbl-128/k_sincosl.c: Likewise.
* sysdeps/ieee754/ldbl-128/k_sinl.c: Likewise.
* sysdeps/ieee754/ldbl-128/k_tanl.c: Likewise.
* sysdeps/ieee754/ldbl-128/lgamma_negl.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_asinhl.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_atanl.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_cbrtl.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_cosl.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_erfl.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_expm1l.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_fmal.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_frexpl.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_llrintl.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_llroundl.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_log1pl.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_lrintl.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_lroundl.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_nearbyintl.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_nextafterl.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_remquol.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_scalblnl.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_scalbnl.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_sincosl.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_sinl.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_tanhl.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_tanl.c: Likewise.
* sysdeps/ieee754/ldbl-128/t_expl.h: Likewise.
* sysdeps/ieee754/ldbl-128/t_sincosl.c: Likewise.
* sysdeps/ieee754/ldbl-128/x2y2m1l.c: Likewise.
2016-09-13 Florian Weimer <fweimer@redhat.com>
* resolv/res_init.c: Remove _LIBC_REENTRANT; it is always defined.

8
sysdeps/ieee754/ldbl-128/e_acoshl.c
View File

@ -32,7 +32,7 @@
static const _Float128
one = 1.0,
ln2 = 0.6931471805599453094172321214581766L;
ln2 = L(0.6931471805599453094172321214581766);
_Float128
__ieee754_acoshl(_Float128 x)
@ -49,13 +49,13 @@ __ieee754_acoshl(_Float128 x)
} else
return __ieee754_logl(x)+ln2; /* acoshl(huge)=logl(2x) */
} else if(((hx-0x3fff000000000000LL)|lx)==0) {
return 0.0L; /* acosh(1) = 0 */
return 0; /* acosh(1) = 0 */
} else if (hx > 0x4000000000000000LL) { /* 2**28 > x > 2 */
t=x*x;
return __ieee754_logl(2.0L*x-one/(x+__ieee754_sqrtl(t-one)));
return __ieee754_logl(2*x-one/(x+__ieee754_sqrtl(t-one)));
} else { /* 1<x<2 */
t = x-one;
return __log1pl(t+__sqrtl(2.0L*t+t*t));
return __log1pl(t+__sqrtl(2*t+t*t));
}
}
strong_alias (__ieee754_acoshl, __acoshl_finite)

140
sysdeps/ieee754/ldbl-128/e_acosl.c
View File

@ -58,94 +58,94 @@
#include <math_private.h>
static const _Float128
one = 1.0L,
pio2_hi = 1.5707963267948966192313216916397514420986L,
pio2_lo = 4.3359050650618905123985220130216759843812E-35L,
one = 1,
pio2_hi = L(1.5707963267948966192313216916397514420986),
pio2_lo = L(4.3359050650618905123985220130216759843812E-35),
/* acos(0.5625 + x) = acos(0.5625) + x rS(x) / sS(x)
-0.0625 <= x <= 0.0625
peak relative error 3.3e-35 */
rS0 = 5.619049346208901520945464704848780243887E0L,
rS1 = -4.460504162777731472539175700169871920352E1L,
rS2 = 1.317669505315409261479577040530751477488E2L,
rS3 = -1.626532582423661989632442410808596009227E2L,
rS4 = 3.144806644195158614904369445440583873264E1L,
rS5 = 9.806674443470740708765165604769099559553E1L,
rS6 = -5.708468492052010816555762842394927806920E1L,
rS7 = -1.396540499232262112248553357962639431922E1L,
rS8 = 1.126243289311910363001762058295832610344E1L,
rS9 = 4.956179821329901954211277873774472383512E-1L,
rS10 = -3.313227657082367169241333738391762525780E-1L,
rS0 = L(5.619049346208901520945464704848780243887E0),
rS1 = L(-4.460504162777731472539175700169871920352E1),
rS2 = L(1.317669505315409261479577040530751477488E2),
rS3 = L(-1.626532582423661989632442410808596009227E2),
rS4 = L(3.144806644195158614904369445440583873264E1),
rS5 = L(9.806674443470740708765165604769099559553E1),
rS6 = L(-5.708468492052010816555762842394927806920E1),
rS7 = L(-1.396540499232262112248553357962639431922E1),
rS8 = L(1.126243289311910363001762058295832610344E1),
rS9 = L(4.956179821329901954211277873774472383512E-1),
rS10 = L(-3.313227657082367169241333738391762525780E-1),
sS0 = -4.645814742084009935700221277307007679325E0L,
sS1 = 3.879074822457694323970438316317961918430E1L,
sS2 = -1.221986588013474694623973554726201001066E2L,
sS3 = 1.658821150347718105012079876756201905822E2L,
sS4 = -4.804379630977558197953176474426239748977E1L,
sS5 = -1.004296417397316948114344573811562952793E2L,
sS6 = 7.530281592861320234941101403870010111138E1L,
sS7 = 1.270735595411673647119592092304357226607E1L,
sS8 = -1.815144839646376500705105967064792930282E1L,
sS9 = -7.821597334910963922204235247786840828217E-2L,
sS0 = L(-4.645814742084009935700221277307007679325E0),
sS1 = L(3.879074822457694323970438316317961918430E1),
sS2 = L(-1.221986588013474694623973554726201001066E2),
sS3 = L(1.658821150347718105012079876756201905822E2),
sS4 = L(-4.804379630977558197953176474426239748977E1),
sS5 = L(-1.004296417397316948114344573811562952793E2),
sS6 = L(7.530281592861320234941101403870010111138E1),
sS7 = L(1.270735595411673647119592092304357226607E1),
sS8 = L(-1.815144839646376500705105967064792930282E1),
sS9 = L(-7.821597334910963922204235247786840828217E-2),
/* 1.000000000000000000000000000000000000000E0 */
acosr5625 = 9.7338991014954640492751132535550279812151E-1L,
pimacosr5625 = 2.1682027434402468335351320579240000860757E0L,
acosr5625 = L(9.7338991014954640492751132535550279812151E-1),
pimacosr5625 = L(2.1682027434402468335351320579240000860757E0),
/* acos(0.4375 + x) = acos(0.4375) + x rS(x) / sS(x)
-0.0625 <= x <= 0.0625
peak relative error 2.1e-35 */
P0 = 2.177690192235413635229046633751390484892E0L,
P1 = -2.848698225706605746657192566166142909573E1L,
P2 = 1.040076477655245590871244795403659880304E2L,
P3 = -1.400087608918906358323551402881238180553E2L,
P4 = 2.221047917671449176051896400503615543757E1L,
P5 = 9.643714856395587663736110523917499638702E1L,
P6 = -5.158406639829833829027457284942389079196E1L,
P7 = -1.578651828337585944715290382181219741813E1L,
P8 = 1.093632715903802870546857764647931045906E1L,
P9 = 5.448925479898460003048760932274085300103E-1L,
P10 = -3.315886001095605268470690485170092986337E-1L,
Q0 = -1.958219113487162405143608843774587557016E0L,
Q1 = 2.614577866876185080678907676023269360520E1L,
Q2 = -9.990858606464150981009763389881793660938E1L,
Q3 = 1.443958741356995763628660823395334281596E2L,
Q4 = -3.206441012484232867657763518369723873129E1L,
Q5 = -1.048560885341833443564920145642588991492E2L,
Q6 = 6.745883931909770880159915641984874746358E1L,
Q7 = 1.806809656342804436118449982647641392951E1L,
Q8 = -1.770150690652438294290020775359580915464E1L,
Q9 = -5.659156469628629327045433069052560211164E-1L,
P0 = L(2.177690192235413635229046633751390484892E0),
P1 = L(-2.848698225706605746657192566166142909573E1),
P2 = L(1.040076477655245590871244795403659880304E2),
P3 = L(-1.400087608918906358323551402881238180553E2),
P4 = L(2.221047917671449176051896400503615543757E1),
P5 = L(9.643714856395587663736110523917499638702E1),
P6 = L(-5.158406639829833829027457284942389079196E1),
P7 = L(-1.578651828337585944715290382181219741813E1),
P8 = L(1.093632715903802870546857764647931045906E1),
P9 = L(5.448925479898460003048760932274085300103E-1),
P10 = L(-3.315886001095605268470690485170092986337E-1),
Q0 = L(-1.958219113487162405143608843774587557016E0),
Q1 = L(2.614577866876185080678907676023269360520E1),
Q2 = L(-9.990858606464150981009763389881793660938E1),
Q3 = L(1.443958741356995763628660823395334281596E2),
Q4 = L(-3.206441012484232867657763518369723873129E1),
Q5 = L(-1.048560885341833443564920145642588991492E2),
Q6 = L(6.745883931909770880159915641984874746358E1),
Q7 = L(1.806809656342804436118449982647641392951E1),
Q8 = L(-1.770150690652438294290020775359580915464E1),
Q9 = L(-5.659156469628629327045433069052560211164E-1),
/* 1.000000000000000000000000000000000000000E0 */
acosr4375 = 1.1179797320499710475919903296900511518755E0L,
pimacosr4375 = 2.0236129215398221908706530535894517323217E0L,
acosr4375 = L(1.1179797320499710475919903296900511518755E0),
pimacosr4375 = L(2.0236129215398221908706530535894517323217E0),
/* asin(x) = x + x^3 pS(x^2) / qS(x^2)
0 <= x <= 0.5
peak relative error 1.9e-35 */
pS0 = -8.358099012470680544198472400254596543711E2L,
pS1 = 3.674973957689619490312782828051860366493E3L,
pS2 = -6.730729094812979665807581609853656623219E3L,
pS3 = 6.643843795209060298375552684423454077633E3L,
pS4 = -3.817341990928606692235481812252049415993E3L,
pS5 = 1.284635388402653715636722822195716476156E3L,
pS6 = -2.410736125231549204856567737329112037867E2L,
pS7 = 2.219191969382402856557594215833622156220E1L,
pS8 = -7.249056260830627156600112195061001036533E-1L,
pS9 = 1.055923570937755300061509030361395604448E-3L,
pS0 = L(-8.358099012470680544198472400254596543711E2),
pS1 = L(3.674973957689619490312782828051860366493E3),
pS2 = L(-6.730729094812979665807581609853656623219E3),
pS3 = L(6.643843795209060298375552684423454077633E3),
pS4 = L(-3.817341990928606692235481812252049415993E3),
pS5 = L(1.284635388402653715636722822195716476156E3),
pS6 = L(-2.410736125231549204856567737329112037867E2),
pS7 = L(2.219191969382402856557594215833622156220E1),
pS8 = L(-7.249056260830627156600112195061001036533E-1),
pS9 = L(1.055923570937755300061509030361395604448E-3),
qS0 = -5.014859407482408326519083440151745519205E3L,
qS1 = 2.430653047950480068881028451580393430537E4L,
qS2 = -4.997904737193653607449250593976069726962E4L,
qS3 = 5.675712336110456923807959930107347511086E4L,
qS4 = -3.881523118339661268482937768522572588022E4L,
qS5 = 1.634202194895541569749717032234510811216E4L,
qS6 = -4.151452662440709301601820849901296953752E3L,
qS7 = 5.956050864057192019085175976175695342168E2L,
qS8 = -4.175375777334867025769346564600396877176E1L;
qS0 = L(-5.014859407482408326519083440151745519205E3),
qS1 = L(2.430653047950480068881028451580393430537E4),
qS2 = L(-4.997904737193653607449250593976069726962E4),
qS3 = L(5.675712336110456923807959930107347511086E4),
qS4 = L(-3.881523118339661268482937768522572588022E4),
qS5 = L(1.634202194895541569749717032234510811216E4),
qS6 = L(-4.151452662440709301601820849901296953752E3),
qS7 = L(5.956050864057192019085175976175695342168E2),
qS8 = L(-4.175375777334867025769346564600396877176E1);
/* 1.000000000000000000000000000000000000000E0 */
_Float128
@ -204,7 +204,7 @@ __ieee754_acosl (_Float128 x)
return z;
}
/* .4375 <= |x| < .5 */
t = u.value - 0.4375L;
t = u.value - L(0.4375);
p = ((((((((((P10 * t
+ P9) * t
+ P8) * t
@ -237,7 +237,7 @@ __ieee754_acosl (_Float128 x)
}
else if (ix < 0x3ffe4000) /* |x| < 0.625 */
{
t = u.value - 0.5625L;
t = u.value - L(0.5625);
p = ((((((((((rS10 * t
+ rS9) * t
+ rS8) * t

92
sysdeps/ieee754/ldbl-128/e_asinl.c
View File

@ -64,67 +64,67 @@
#include <math_private.h>
static const _Float128
one = 1.0L,
huge = 1.0e+4932L,
pio2_hi = 1.5707963267948966192313216916397514420986L,
pio2_lo = 4.3359050650618905123985220130216759843812E-35L,
pio4_hi = 7.8539816339744830961566084581987569936977E-1L,
one = 1,
huge = L(1.0e+4932),
pio2_hi = L(1.5707963267948966192313216916397514420986),
pio2_lo = L(4.3359050650618905123985220130216759843812E-35),
pio4_hi = L(7.8539816339744830961566084581987569936977E-1),
/* coefficient for R(x^2) */
/* asin(x) = x + x^3 pS(x^2) / qS(x^2)
0 <= x <= 0.5
peak relative error 1.9e-35 */
pS0 = -8.358099012470680544198472400254596543711E2L,
pS1 = 3.674973957689619490312782828051860366493E3L,
pS2 = -6.730729094812979665807581609853656623219E3L,
pS3 = 6.643843795209060298375552684423454077633E3L,
pS4 = -3.817341990928606692235481812252049415993E3L,
pS5 = 1.284635388402653715636722822195716476156E3L,
pS6 = -2.410736125231549204856567737329112037867E2L,
pS7 = 2.219191969382402856557594215833622156220E1L,
pS8 = -7.249056260830627156600112195061001036533E-1L,
pS9 = 1.055923570937755300061509030361395604448E-3L,
pS0 = L(-8.358099012470680544198472400254596543711E2),
pS1 = L(3.674973957689619490312782828051860366493E3),
pS2 = L(-6.730729094812979665807581609853656623219E3),
pS3 = L(6.643843795209060298375552684423454077633E3),
pS4 = L(-3.817341990928606692235481812252049415993E3),
pS5 = L(1.284635388402653715636722822195716476156E3),
pS6 = L(-2.410736125231549204856567737329112037867E2),
pS7 = L(2.219191969382402856557594215833622156220E1),
pS8 = L(-7.249056260830627156600112195061001036533E-1),
pS9 = L(1.055923570937755300061509030361395604448E-3),
qS0 = -5.014859407482408326519083440151745519205E3L,
qS1 = 2.430653047950480068881028451580393430537E4L,
qS2 = -4.997904737193653607449250593976069726962E4L,
qS3 = 5.675712336110456923807959930107347511086E4L,
qS4 = -3.881523118339661268482937768522572588022E4L,
qS5 = 1.634202194895541569749717032234510811216E4L,
qS6 = -4.151452662440709301601820849901296953752E3L,
qS7 = 5.956050864057192019085175976175695342168E2L,
qS8 = -4.175375777334867025769346564600396877176E1L,
qS0 = L(-5.014859407482408326519083440151745519205E3),
qS1 = L(2.430653047950480068881028451580393430537E4),
qS2 = L(-4.997904737193653607449250593976069726962E4),
qS3 = L(5.675712336110456923807959930107347511086E4),
qS4 = L(-3.881523118339661268482937768522572588022E4),
qS5 = L(1.634202194895541569749717032234510811216E4),
qS6 = L(-4.151452662440709301601820849901296953752E3),
qS7 = L(5.956050864057192019085175976175695342168E2),
qS8 = L(-4.175375777334867025769346564600396877176E1),
/* 1.000000000000000000000000000000000000000E0 */
/* asin(0.5625 + x) = asin(0.5625) + x rS(x) / sS(x)
-0.0625 <= x <= 0.0625
peak relative error 3.3e-35 */
rS0 = -5.619049346208901520945464704848780243887E0L,
rS1 = 4.460504162777731472539175700169871920352E1L,
rS2 = -1.317669505315409261479577040530751477488E2L,
rS3 = 1.626532582423661989632442410808596009227E2L,
rS4 = -3.144806644195158614904369445440583873264E1L,
rS5 = -9.806674443470740708765165604769099559553E1L,
rS6 = 5.708468492052010816555762842394927806920E1L,
rS7 = 1.396540499232262112248553357962639431922E1L,
rS8 = -1.126243289311910363001762058295832610344E1L,
rS9 = -4.956179821329901954211277873774472383512E-1L,
rS10 = 3.313227657082367169241333738391762525780E-1L,
rS0 = L(-5.619049346208901520945464704848780243887E0),
rS1 = L(4.460504162777731472539175700169871920352E1),
rS2 = L(-1.317669505315409261479577040530751477488E2),
rS3 = L(1.626532582423661989632442410808596009227E2),
rS4 = L(-3.144806644195158614904369445440583873264E1),
rS5 = L(-9.806674443470740708765165604769099559553E1),
rS6 = L(5.708468492052010816555762842394927806920E1),
rS7 = L(1.396540499232262112248553357962639431922E1),
rS8 = L(-1.126243289311910363001762058295832610344E1),
rS9 = L(-4.956179821329901954211277873774472383512E-1),
rS10 = L(3.313227657082367169241333738391762525780E-1),
sS0 = -4.645814742084009935700221277307007679325E0L,
sS1 = 3.879074822457694323970438316317961918430E1L,
sS2 = -1.221986588013474694623973554726201001066E2L,
sS3 = 1.658821150347718105012079876756201905822E2L,
sS4 = -4.804379630977558197953176474426239748977E1L,
sS5 = -1.004296417397316948114344573811562952793E2L,
sS6 = 7.530281592861320234941101403870010111138E1L,
sS7 = 1.270735595411673647119592092304357226607E1L,
sS8 = -1.815144839646376500705105967064792930282E1L,
sS9 = -7.821597334910963922204235247786840828217E-2L,
sS0 = L(-4.645814742084009935700221277307007679325E0),
sS1 = L(3.879074822457694323970438316317961918430E1),
sS2 = L(-1.221986588013474694623973554726201001066E2),
sS3 = L(1.658821150347718105012079876756201905822E2),
sS4 = L(-4.804379630977558197953176474426239748977E1),
sS5 = L(-1.004296417397316948114344573811562952793E2),
sS6 = L(7.530281592861320234941101403870010111138E1),
sS7 = L(1.270735595411673647119592092304357226607E1),
sS8 = L(-1.815144839646376500705105967064792930282E1),
sS9 = L(-7.821597334910963922204235247786840828217E-2),
/* 1.000000000000000000000000000000000000000E0 */
asinr5625 = 5.9740641664535021430381036628424864397707E-1L;
asinr5625 = L(5.9740641664535021430381036628424864397707E-1);

18
sysdeps/ieee754/ldbl-128/e_atan2l.c
View File

@ -44,12 +44,12 @@
#include <math_private.h>
static const _Float128
tiny = 1.0e-4900L,
tiny = L(1.0e-4900),
zero = 0.0,
pi_o_4 = 7.85398163397448309615660845819875699e-01L, /* 3ffe921fb54442d18469898cc51701b8 */
pi_o_2 = 1.57079632679489661923132169163975140e+00L, /* 3fff921fb54442d18469898cc51701b8 */
pi = 3.14159265358979323846264338327950280e+00L, /* 4000921fb54442d18469898cc51701b8 */
pi_lo = 8.67181013012378102479704402604335225e-35L; /* 3f8dcd129024e088a67cc74020bbea64 */
pi_o_4 = L(7.85398163397448309615660845819875699e-01), /* 3ffe921fb54442d18469898cc51701b8 */
pi_o_2 = L(1.57079632679489661923132169163975140e+00), /* 3fff921fb54442d18469898cc51701b8 */
pi = L(3.14159265358979323846264338327950280e+00), /* 4000921fb54442d18469898cc51701b8 */
pi_lo = L(8.67181013012378102479704402604335225e-35); /* 3f8dcd129024e088a67cc74020bbea64 */
_Float128
__ieee754_atan2l(_Float128 y, _Float128 x)
@ -86,8 +86,8 @@ __ieee754_atan2l(_Float128 y, _Float128 x)
switch(m) {
case 0: return pi_o_4+tiny;/* atan(+INF,+INF) */
case 1: return -pi_o_4-tiny;/* atan(-INF,+INF) */
case 2: return 3.0L*pi_o_4+tiny;/*atan(+INF,-INF)*/
case 3: return -3.0L*pi_o_4-tiny;/*atan(-INF,-INF)*/
case 2: return 3*pi_o_4+tiny;/*atan(+INF,-INF)*/
case 3: return -3*pi_o_4-tiny;/*atan(-INF,-INF)*/
}
} else {
switch(m) {
@ -103,8 +103,8 @@ __ieee754_atan2l(_Float128 y, _Float128 x)
/* compute y/x */
k = (iy-ix)>>48;
if(k > 120) z=pi_o_2+0.5L*pi_lo; /* |y/x| > 2**120 */
else if(hx<0&&k<-120) z=0.0L; /* |y|/x < -2**120 */
if(k > 120) z=pi_o_2+L(0.5)*pi_lo; /* |y/x| > 2**120 */
else if(hx<0&&k<-120) z=0; /* |y|/x < -2**120 */
else z=__atanl(fabsl(y/x)); /* safe to do y/x */
switch (m) {
case 0: return z ; /* atan(+,+) */

4
sysdeps/ieee754/ldbl-128/e_atanhl.c
View File

@ -36,9 +36,9 @@
#include <math.h>
#include <math_private.h>
static const _Float128 one = 1.0L, huge = 1e4900L;
static const _Float128 one = 1, huge = L(1e4900);
static const _Float128 zero = 0.0L;
static const _Float128 zero = 0;
_Float128
__ieee754_atanhl(_Float128 x)

4
sysdeps/ieee754/ldbl-128/e_coshl.c
View File

@ -54,8 +54,8 @@
#include <math.h>
#include <math_private.h>
static const _Float128 one = 1.0, half = 0.5, huge = 1.0e4900L,
ovf_thresh = 1.1357216553474703894801348310092223067821E4L;
static const _Float128 one = 1.0, half = 0.5, huge = L(1.0e4900),
ovf_thresh = L(1.1357216553474703894801348310092223067821E4);
_Float128
__ieee754_coshl (_Float128 x)

8
sysdeps/ieee754/ldbl-128/e_exp10l.c
View File

@ -19,8 +19,8 @@
#include <math_private.h>
#include <float.h>
static const _Float128 log10_high = 0x2.4d763776aaa2bp0L;
static const _Float128 log10_low = 0x5.ba95b58ae0b4c28a38a3fb3e7698p-60L;
static const _Float128 log10_high = L(0x2.4d763776aaa2bp0);
static const _Float128 log10_low = L(0x5.ba95b58ae0b4c28a38a3fb3e7698p-60);
_Float128
__ieee754_exp10l (_Float128 arg)
@ -35,8 +35,8 @@ __ieee754_exp10l (_Float128 arg)
return LDBL_MIN * LDBL_MIN;
else if (arg > LDBL_MAX_10_EXP + 1)
return LDBL_MAX * LDBL_MAX;
else if (fabsl (arg) < 0x1p-116L)
return 1.0L;
else if (fabsl (arg) < L(0x1p-116))
return 1;
u.value = arg;
u.parts64.lsw &= 0xfe00000000000000LL;

38
sysdeps/ieee754/ldbl-128/e_expl.c
View File

@ -71,51 +71,51 @@
static const _Float128 C[] = {
/* Smallest integer x for which e^x overflows. */
#define himark C[0]
11356.523406294143949491931077970765L,
L(11356.523406294143949491931077970765),
/* Largest integer x for which e^x underflows. */
#define lomark C[1]
-11433.4627433362978788372438434526231L,
L(-11433.4627433362978788372438434526231),
/* 3x2^96 */
#define THREEp96 C[2]
59421121885698253195157962752.0L,
L(59421121885698253195157962752.0),
/* 3x2^103 */
#define THREEp103 C[3]
30423614405477505635920876929024.0L,
L(30423614405477505635920876929024.0),
/* 3x2^111 */
#define THREEp111 C[4]
7788445287802241442795744493830144.0L,
L(7788445287802241442795744493830144.0),
/* 1/ln(2) */
#define M_1_LN2 C[5]
1.44269504088896340735992468100189204L,
L(1.44269504088896340735992468100189204),
/* first 93 bits of ln(2) */
#define M_LN2_0 C[6]
0.693147180559945309417232121457981864L,
L(0.693147180559945309417232121457981864),
/* ln2_0 - ln(2) */
#define M_LN2_1 C[7]
-1.94704509238074995158795957333327386E-31L,
L(-1.94704509238074995158795957333327386E-31),
/* very small number */
#define TINY C[8]
1.0e-4900L,
L(1.0e-4900),
/* 2^16383 */
#define TWO16383 C[9]
5.94865747678615882542879663314003565E+4931L,
L(5.94865747678615882542879663314003565E+4931),
/* 256 */
#define TWO8 C[10]
256.0L,
256,
/* 32768 */
#define TWO15 C[11]
32768.0L,
32768,
/* Chebyshev polynom coefficients for (exp(x)-1)/x */
#define P1 C[12]
@ -124,12 +124,12 @@ static const _Float128 C[] = {
#define P4 C[15]
#define P5 C[16]
#define P6 C[17]
0.5L,
1.66666666666666666666666666666666683E-01L,
4.16666666666666666666654902320001674E-02L,
8.33333333333333333333314659767198461E-03L,
1.38888888889899438565058018857254025E-03L,
1.98412698413981650382436541785404286E-04L,
L(0.5),
L(1.66666666666666666666666666666666683E-01),
L(4.16666666666666666666654902320001674E-02),
L(8.33333333333333333333314659767198461E-03),
L(1.38888888889899438565058018857254025E-03),
L(1.98412698413981650382436541785404286E-04),
};
_Float128
@ -185,7 +185,7 @@ __ieee754_expl (_Float128 x)
ex2_u.ieee.exponent += n_i >> unsafe;
/* Compute scale = 2^n_1. */
scale_u.d = 1.0L;
scale_u.d = 1;
scale_u.ieee.exponent += n_i - (n_i >> unsafe);
/* Approximate e^x2 - 1, using a seventh-degree polynomial,

64
sysdeps/ieee754/ldbl-128/e_gammal_r.c
View File

@ -27,20 +27,20 @@
static const _Float128 gamma_coeff[] =
{
0x1.5555555555555555555555555555p-4L,
-0xb.60b60b60b60b60b60b60b60b60b8p-12L,
0x3.4034034034034034034034034034p-12L,
-0x2.7027027027027027027027027028p-12L,
0x3.72a3c5631fe46ae1d4e700dca8f2p-12L,
-0x7.daac36664f1f207daac36664f1f4p-12L,
0x1.a41a41a41a41a41a41a41a41a41ap-8L,
-0x7.90a1b2c3d4e5f708192a3b4c5d7p-8L,
0x2.dfd2c703c0cfff430edfd2c703cp-4L,
-0x1.6476701181f39edbdb9ce625987dp+0L,
0xd.672219167002d3a7a9c886459cp+0L,
-0x9.cd9292e6660d55b3f712eb9e07c8p+4L,
0x8.911a740da740da740da740da741p+8L,
-0x8.d0cc570e255bf59ff6eec24b49p+12L,
L(0x1.5555555555555555555555555555p-4),
L(-0xb.60b60b60b60b60b60b60b60b60b8p-12),
L(0x3.4034034034034034034034034034p-12),
L(-0x2.7027027027027027027027027028p-12),
L(0x3.72a3c5631fe46ae1d4e700dca8f2p-12),
L(-0x7.daac36664f1f207daac36664f1f4p-12),
L(0x1.a41a41a41a41a41a41a41a41a41ap-8),
L(-0x7.90a1b2c3d4e5f708192a3b4c5d7p-8),
L(0x2.dfd2c703c0cfff430edfd2c703cp-4),
L(-0x1.6476701181f39edbdb9ce625987dp+0),
L(0xd.672219167002d3a7a9c886459cp+0),
L(-0x9.cd9292e6660d55b3f712eb9e07c8p+4),
L(0x8.911a740da740da740da740da741p+8),
L(-0x8.d0cc570e255bf59ff6eec24b49p+12),
};
#define NCOEFF (sizeof (gamma_coeff) / sizeof (gamma_coeff[0]))
@ -53,26 +53,26 @@ static _Float128
gammal_positive (_Float128 x, int *exp2_adj)
{
int local_signgam;
if (x < 0.5L)
if (x < L(0.5))
{
*exp2_adj = 0;
return __ieee754_expl (__ieee754_lgammal_r (x + 1, &local_signgam)) / x;
}
else if (x <= 1.5L)
else if (x <= L(1.5))
{
*exp2_adj = 0;
return __ieee754_expl (__ieee754_lgammal_r (x, &local_signgam));
}
else if (x < 12.5L)
else if (x < L(12.5))
{
/* Adjust into the range for using exp (lgamma). */
*exp2_adj = 0;
_Float128 n = __ceill (x - 1.5L);
_Float128 n = __ceill (x - L(1.5));
_Float128 x_adj = x - n;
_Float128 eps;
_Float128 prod = __gamma_productl (x_adj, 0, n, &eps);
return (__ieee754_expl (__ieee754_lgammal_r (x_adj, &local_signgam))
* prod * (1.0L + eps));
* prod * (1 + eps));
}
else
{
@ -80,11 +80,11 @@ gammal_positive (_Float128 x, int *exp2_adj)
_Float128 x_eps = 0;
_Float128 x_adj = x;
_Float128 prod = 1;
if (x < 24.0L)
if (x < 24)
{
/* Adjust into the range for applying Stirling's
approximation. */
_Float128 n = __ceill (24.0L - x);
_Float128 n = __ceill (24 - x);
x_adj = x + n;
x_eps = (x - (x_adj - n));
prod = __gamma_productl (x_adj - n, x_eps, n, &eps);
@ -101,7 +101,7 @@ gammal_positive (_Float128 x, int *exp2_adj)
if (x_adj_mant < M_SQRT1_2l)
{
x_adj_log2--;
x_adj_mant *= 2.0L;
x_adj_mant *= 2;
}
*exp2_adj = x_adj_log2 * (int) x_adj_int;
_Float128 ret = (__ieee754_powl (x_adj_mant, x_adj)
@ -154,7 +154,7 @@ __ieee754_gammal_r (_Float128 x, int *signgamp)
return x + x;
}
if (x >= 1756.0L)
if (x >= 1756)
{
/* Overflow. */
*signgamp = 0;
@ -163,33 +163,33 @@ __ieee754_gammal_r (_Float128 x, int *signgamp)
else
{
SET_RESTORE_ROUNDL (FE_TONEAREST);
if (x > 0.0L)
if (x > 0)
{
*signgamp = 0;
int exp2_adj;
ret = gammal_positive (x, &exp2_adj);
ret = __scalbnl (ret, exp2_adj);
}
else if (x >= -LDBL_EPSILON / 4.0L)
else if (x >= -LDBL_EPSILON / 4)
{
*signgamp = 0;
ret = 1.0L / x;
ret = 1 / x;
}
else
{
_Float128 tx = __truncl (x);
*signgamp = (tx == 2.0L * __truncl (tx / 2.0L)) ? -1 : 1;
if (x <= -1775.0L)
*signgamp = (tx == 2 * __truncl (tx / 2)) ? -1 : 1;
if (x <= -1775)
/* Underflow. */
ret = LDBL_MIN * LDBL_MIN;
else
{
_Float128 frac = tx - x;
if (frac > 0.5L)
frac = 1.0L - frac;
_Float128 sinpix = (frac <= 0.25L
if (frac > L(0.5))
frac = 1 - frac;
_Float128 sinpix = (frac <= L(0.25)
? __sinl (M_PIl * frac)
: __cosl (M_PIl * (0.5L - frac)));
: __cosl (M_PIl * (L(0.5) - frac)));
int exp2_adj;
ret = M_PIl / (-x * sinpix
* gammal_positive (-x, &exp2_adj));

2
sysdeps/ieee754/ldbl-128/e_hypotl.c
View File

@ -127,7 +127,7 @@ __ieee754_hypotl(_Float128 x, _Float128 y)
}
if(k!=0) {
u_int64_t high;
t1 = 1.0L;
t1 = 1;
GET_LDOUBLE_MSW64(high,t1);
SET_LDOUBLE_MSW64(t1,high+(k<<48));
w *= t1;

764
sysdeps/ieee754/ldbl-128/e_j0l.c
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File diff suppressed because it is too large Load Diff

762
sysdeps/ieee754/ldbl-128/e_j1l.c
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File diff suppressed because it is too large Load Diff

26
sysdeps/ieee754/ldbl-128/e_jnl.c
View File

@ -62,10 +62,10 @@
#include <math_private.h>
static const _Float128
invsqrtpi = 5.6418958354775628694807945156077258584405E-1L,
two = 2.0e0L,
one = 1.0e0L,
zero = 0.0L;
invsqrtpi = L(5.6418958354775628694807945156077258584405E-1),
two = 2,
one = 1,
zero = 0;
_Float128
@ -108,7 +108,7 @@ __ieee754_jnl (int n, _Float128 x)
{
SET_RESTORE_ROUNDL (FE_TONEAREST);
if (x == 0.0L || ix >= 0x7fff0000) /* if x is 0 or inf */
if (x == 0 || ix >= 0x7fff0000) /* if x is 0 or inf */
return sgn == 1 ? -zero : zero;
else if ((_Float128) n <= x)
{
@ -219,12 +219,12 @@ __ieee754_jnl (int n, _Float128 x)
_Float128 q0, q1, h, tmp;
int32_t k, m;
w = (n + n) / (_Float128) x;
h = 2.0L / (_Float128) x;
h = 2 / (_Float128) x;
q0 = w;
z = w + h;
q1 = w * z - 1.0L;
q1 = w * z - 1;
k = 1;
while (q1 < 1.0e17L)
while (q1 < L(1.0e17))
{
k += 1;
z += h;
@ -249,7 +249,7 @@ __ieee754_jnl (int n, _Float128 x)
v = two / x;
tmp = tmp * __ieee754_logl (fabsl (v * tmp));
if (tmp < 1.1356523406294143949491931077970765006170e+04L)
if (tmp < L(1.1356523406294143949491931077970765006170e+04))
{
for (i = n - 1, di = (_Float128) (i + i); i > 0; i--)
{
@ -270,7 +270,7 @@ __ieee754_jnl (int n, _Float128 x)
a = temp;
di -= two;
/* scale b to avoid spurious overflow */
if (b > 1e100L)
if (b > L(1e100))
{
a /= b;
t /= b;
@ -325,10 +325,10 @@ __ieee754_ynl (int n, _Float128 x)
if ((u.parts32.w0 & 0xffff) | u.parts32.w1 | u.parts32.w2 | u.parts32.w3)
return x + x;
}
if (x <= 0.0L)
if (x <= 0)
{
if (x == 0.0L)
return ((n < 0 && (n & 1) != 0) ? 1.0L : -1.0L) / 0.0L;
if (x == 0)
return ((n < 0 && (n & 1) != 0) ? 1 : -1) / L(0.0);
if (se & 0x80000000)
return zero / (zero * x);
}

834
sysdeps/ieee754/ldbl-128/e_lgammal_r.c
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File diff suppressed because it is too large Load Diff

104
sysdeps/ieee754/ldbl-128/e_log10l.c
View File

@ -70,34 +70,34 @@
*/
static const _Float128 P[13] =
{
1.313572404063446165910279910527789794488E4L,
7.771154681358524243729929227226708890930E4L,
2.014652742082537582487669938141683759923E5L,
3.007007295140399532324943111654767187848E5L,
2.854829159639697837788887080758954924001E5L,
1.797628303815655343403735250238293741397E5L,
7.594356839258970405033155585486712125861E4L,
2.128857716871515081352991964243375186031E4L,
3.824952356185897735160588078446136783779E3L,
4.114517881637811823002128927449878962058E2L,
2.321125933898420063925789532045674660756E1L,
4.998469661968096229986658302195402690910E-1L,
1.538612243596254322971797716843006400388E-6L
L(1.313572404063446165910279910527789794488E4),
L(7.771154681358524243729929227226708890930E4),
L(2.014652742082537582487669938141683759923E5),
L(3.007007295140399532324943111654767187848E5),
L(2.854829159639697837788887080758954924001E5),
L(1.797628303815655343403735250238293741397E5),
L(7.594356839258970405033155585486712125861E4),
L(2.128857716871515081352991964243375186031E4),
L(3.824952356185897735160588078446136783779E3),
L(4.114517881637811823002128927449878962058E2),
L(2.321125933898420063925789532045674660756E1),
L(4.998469661968096229986658302195402690910E-1),
L(1.538612243596254322971797716843006400388E-6)
};
static const _Float128 Q[12] =
{
3.940717212190338497730839731583397586124E4L,
2.626900195321832660448791748036714883242E5L,
7.777690340007566932935753241556479363645E5L,
1.347518538384329112529391120390701166528E6L,
1.514882452993549494932585972882995548426E6L,
1.158019977462989115839826904108208787040E6L,
6.132189329546557743179177159925690841200E5L,
2.248234257620569139969141618556349415120E5L,
5.605842085972455027590989944010492125825E4L,
9.147150349299596453976674231612674085381E3L,
9.104928120962988414618126155557301584078E2L,
4.839208193348159620282142911143429644326E1L
L(3.940717212190338497730839731583397586124E4),
L(2.626900195321832660448791748036714883242E5),
L(7.777690340007566932935753241556479363645E5),
L(1.347518538384329112529391120390701166528E6),
L(1.514882452993549494932585972882995548426E6),
L(1.158019977462989115839826904108208787040E6),
L(6.132189329546557743179177159925690841200E5),
L(2.248234257620569139969141618556349415120E5),
L(5.605842085972455027590989944010492125825E4),
L(9.147150349299596453976674231612674085381E3),
L(9.104928120962988414618126155557301584078E2),
L(4.839208193348159620282142911143429644326E1)
/* 1.000000000000000000000000000000000000000E0L, */
};
@ -109,33 +109,33 @@ static const _Float128 Q[12] =
*/
static const _Float128 R[6] =
{
1.418134209872192732479751274970992665513E5L,
-8.977257995689735303686582344659576526998E4L,
2.048819892795278657810231591630928516206E4L,
-2.024301798136027039250415126250455056397E3L,
8.057002716646055371965756206836056074715E1L,
-8.828896441624934385266096344596648080902E-1L
L(1.418134209872192732479751274970992665513E5),
L(-8.977257995689735303686582344659576526998E4),
L(2.048819892795278657810231591630928516206E4),
L(-2.024301798136027039250415126250455056397E3),
L(8.057002716646055371965756206836056074715E1),
L(-8.828896441624934385266096344596648080902E-1)
};
static const _Float128 S[6] =
{
1.701761051846631278975701529965589676574E6L,
-1.332535117259762928288745111081235577029E6L,
4.001557694070773974936904547424676279307E5L,
-5.748542087379434595104154610899551484314E4L,
3.998526750980007367835804959888064681098E3L,
-1.186359407982897997337150403816839480438E2L
L(1.701761051846631278975701529965589676574E6),
L(-1.332535117259762928288745111081235577029E6),
L(4.001557694070773974936904547424676279307E5),
L(-5.748542087379434595104154610899551484314E4),
L(3.998526750980007367835804959888064681098E3),
L(-1.186359407982897997337150403816839480438E2)
/* 1.000000000000000000000000000000000000000E0L, */
};
static const _Float128
/* log10(2) */
L102A = 0.3125L,
L102B = -1.14700043360188047862611052755069732318101185E-2L,
L102A = L(0.3125),
L102B = L(-1.14700043360188047862611052755069732318101185E-2),
/* log10(e) */
L10EA = 0.5L,
L10EB = -6.570551809674817234887108108339491770560299E-2L,
L10EA = L(0.5),
L10EB = L(-6.570551809674817234887108108339491770560299E-2),
/* sqrt(2)/2 */
SQRTH = 7.071067811865475244008443621048490392848359E-1L;
SQRTH = L(7.071067811865475244008443621048490392848359E-1);
@ -187,14 +187,14 @@ __ieee754_log10l (_Float128 x)
/* Test for domain */
GET_LDOUBLE_WORDS64 (hx, lx, x);
if (((hx & 0x7fffffffffffffffLL) | lx) == 0)
return (-1.0L / (x - x));
return (-1 / (x - x));
if (hx < 0)
return (x - x) / (x - x);
if (hx >= 0x7fff000000000000LL)
return (x + x);
if (x == 1.0L)
return 0.0L;
if (x == 1)
return 0;
/* separate mantissa from exponent */
@ -212,14 +212,14 @@ __ieee754_log10l (_Float128 x)
if (x < SQRTH)
{ /* 2( 2x-1 )/( 2x+1 ) */
e -= 1;
z = x - 0.5L;
y = 0.5L * z + 0.5L;
z = x - L(0.5);
y = L(0.5) * z + L(0.5);
}
else
{ /* 2 (x-1)/(x+1) */
z = x - 0.5L;
z -= 0.5L;
y = 0.5L * x + 0.5L;
z = x - L(0.5);
z -= L(0.5);
y = L(0.5) * x + L(0.5);
}
x = z / y;
z = x * x;
@ -233,11 +233,11 @@ __ieee754_log10l (_Float128 x)
if (x < SQRTH)
{
e -= 1;
x = 2.0 * x - 1.0L; /* 2x - 1 */
x = 2.0 * x - 1; /* 2x - 1 */
}
else
{
x = x - 1.0L;
x = x - 1;
}
z = x * x;
y = x * (z * neval (x, P, 12) / deval (x, Q, 11));

98
sysdeps/ieee754/ldbl-128/e_log2l.c
View File

@ -69,34 +69,34 @@
*/
static const _Float128 P[13] =
{
1.313572404063446165910279910527789794488E4L,
7.771154681358524243729929227226708890930E4L,
2.014652742082537582487669938141683759923E5L,
3.007007295140399532324943111654767187848E5L,
2.854829159639697837788887080758954924001E5L,
1.797628303815655343403735250238293741397E5L,
7.594356839258970405033155585486712125861E4L,
2.128857716871515081352991964243375186031E4L,
3.824952356185897735160588078446136783779E3L,
4.114517881637811823002128927449878962058E2L,
2.321125933898420063925789532045674660756E1L,
4.998469661968096229986658302195402690910E-1L,
1.538612243596254322971797716843006400388E-6L
L(1.313572404063446165910279910527789794488E4),
L(7.771154681358524243729929227226708890930E4),
L(2.014652742082537582487669938141683759923E5),
L(3.007007295140399532324943111654767187848E5),
L(2.854829159639697837788887080758954924001E5),
L(1.797628303815655343403735250238293741397E5),
L(7.594356839258970405033155585486712125861E4),
L(2.128857716871515081352991964243375186031E4),
L(3.824952356185897735160588078446136783779E3),
L(4.114517881637811823002128927449878962058E2),
L(2.321125933898420063925789532045674660756E1),
L(4.998469661968096229986658302195402690910E-1),
L(1.538612243596254322971797716843006400388E-6)
};
static const _Float128 Q[12] =
{
3.940717212190338497730839731583397586124E4L,
2.626900195321832660448791748036714883242E5L,
7.777690340007566932935753241556479363645E5L,
1.347518538384329112529391120390701166528E6L,
1.514882452993549494932585972882995548426E6L,
1.158019977462989115839826904108208787040E6L,
6.132189329546557743179177159925690841200E5L,
2.248234257620569139969141618556349415120E5L,
5.605842085972455027590989944010492125825E4L,
9.147150349299596453976674231612674085381E3L,
9.104928120962988414618126155557301584078E2L,
4.839208193348159620282142911143429644326E1L
L(3.940717212190338497730839731583397586124E4),
L(2.626900195321832660448791748036714883242E5),
L(7.777690340007566932935753241556479363645E5),
L(1.347518538384329112529391120390701166528E6),
L(1.514882452993549494932585972882995548426E6),
L(1.158019977462989115839826904108208787040E6),
L(6.132189329546557743179177159925690841200E5),
L(2.248234257620569139969141618556349415120E5),
L(5.605842085972455027590989944010492125825E4),
L(9.147150349299596453976674231612674085381E3),
L(9.104928120962988414618126155557301584078E2),
L(4.839208193348159620282142911143429644326E1)
/* 1.000000000000000000000000000000000000000E0L, */
};
@ -108,29 +108,29 @@ static const _Float128 Q[12] =
*/
static const _Float128 R[6] =
{
1.418134209872192732479751274970992665513E5L,
-8.977257995689735303686582344659576526998E4L,
2.048819892795278657810231591630928516206E4L,
-2.024301798136027039250415126250455056397E3L,
8.057002716646055371965756206836056074715E1L,
-8.828896441624934385266096344596648080902E-1L
L(1.418134209872192732479751274970992665513E5),
L(-8.977257995689735303686582344659576526998E4),
L(2.048819892795278657810231591630928516206E4),
L(-2.024301798136027039250415126250455056397E3),
L(8.057002716646055371965756206836056074715E1),
L(-8.828896441624934385266096344596648080902E-1)
};
static const _Float128 S[6] =
{
1.701761051846631278975701529965589676574E6L,
-1.332535117259762928288745111081235577029E6L,
4.001557694070773974936904547424676279307E5L,
-5.748542087379434595104154610899551484314E4L,
3.998526750980007367835804959888064681098E3L,
-1.186359407982897997337150403816839480438E2L
L(1.701761051846631278975701529965589676574E6),
L(-1.332535117259762928288745111081235577029E6),
L(4.001557694070773974936904547424676279307E5),
L(-5.748542087379434595104154610899551484314E4),
L(3.998526750980007367835804959888064681098E3),
L(-1.186359407982897997337150403816839480438E2)
/* 1.000000000000000000000000000000000000000E0L, */
};
static const _Float128
/* log2(e) - 1 */
LOG2EA = 4.4269504088896340735992468100189213742664595E-1L,
LOG2EA = L(4.4269504088896340735992468100189213742664595E-1),
/* sqrt(2)/2 */
SQRTH = 7.071067811865475244008443621048490392848359E-1L;
SQRTH = L(7.071067811865475244008443621048490392848359E-1);
/* Evaluate P[n] x^n + P[n-1] x^(n-1) + ... + P[0] */
@ -181,14 +181,14 @@ __ieee754_log2l (_Float128 x)
/* Test for domain */
GET_LDOUBLE_WORDS64 (hx, lx, x);
if (((hx & 0x7fffffffffffffffLL) | lx) == 0)
return (-1.0L / (x - x));
return (-1 / (x - x));
if (hx < 0)
return (x - x) / (x - x);
if (hx >= 0x7fff000000000000LL)
return (x + x);
if (x == 1.0L)
return 0.0L;
if (x == 1)
return 0;
/* separate mantissa from exponent */
@ -206,14 +206,14 @@ __ieee754_log2l (_Float128 x)
if (x < SQRTH)
{ /* 2( 2x-1 )/( 2x+1 ) */
e -= 1;
z = x - 0.5L;
y = 0.5L * z + 0.5L;
z = x - L(0.5);
y = L(0.5) * z + L(0.5);
}
else
{ /* 2 (x-1)/(x+1) */
z = x - 0.5L;
z -= 0.5L;
y = 0.5L * x + 0.5L;
z = x - L(0.5);
z -= L(0.5);
y = L(0.5) * x + L(0.5);
}
x = z / y;
z = x * x;
@ -227,11 +227,11 @@ __ieee754_log2l (_Float128 x)
if (x < SQRTH)
{
e -= 1;
x = 2.0 * x - 1.0L; /* 2x - 1 */
x = 2.0 * x - 1; /* 2x - 1 */
}
else
{
x = x - 1.0L;
x = x - 1;
}
z = x * x;
y = x * (z * neval (x, P, 12) / deval (x, Q, 11));

228
sysdeps/ieee754/ldbl-128/e_logl.c
View File

@ -64,123 +64,123 @@
-.0078125 <= x <= +.0078125
peak relative error 1.2e-37 */
static const _Float128
l3 = 3.333333333333333333333333333333336096926E-1L,
l4 = -2.499999999999999999999999999486853077002E-1L,
l5 = 1.999999999999999999999999998515277861905E-1L,
l6 = -1.666666666666666666666798448356171665678E-1L,
l7 = 1.428571428571428571428808945895490721564E-1L,
l8 = -1.249999999999999987884655626377588149000E-1L,
l9 = 1.111111111111111093947834982832456459186E-1L,
l10 = -1.000000000000532974938900317952530453248E-1L,
l11 = 9.090909090915566247008015301349979892689E-2L,
l12 = -8.333333211818065121250921925397567745734E-2L,
l13 = 7.692307559897661630807048686258659316091E-2L,
l14 = -7.144242754190814657241902218399056829264E-2L,
l15 = 6.668057591071739754844678883223432347481E-2L;
l3 = L(3.333333333333333333333333333333336096926E-1),
l4 = L(-2.499999999999999999999999999486853077002E-1),
l5 = L(1.999999999999999999999999998515277861905E-1),
l6 = L(-1.666666666666666666666798448356171665678E-1),
l7 = L(1.428571428571428571428808945895490721564E-1),
l8 = L(-1.249999999999999987884655626377588149000E-1),
l9 = L(1.111111111111111093947834982832456459186E-1),
l10 = L(-1.000000000000532974938900317952530453248E-1),
l11 = L(9.090909090915566247008015301349979892689E-2),
l12 = L(-8.333333211818065121250921925397567745734E-2),
l13 = L(7.692307559897661630807048686258659316091E-2),
l14 = L(-7.144242754190814657241902218399056829264E-2),
l15 = L(6.668057591071739754844678883223432347481E-2);
/* Lookup table of ln(t) - (t-1)
t = 0.5 + (k+26)/128)
k = 0, ..., 91 */
static const _Float128 logtbl[92] = {
-5.5345593589352099112142921677820359632418E-2L,
-5.2108257402767124761784665198737642086148E-2L,
-4.8991686870576856279407775480686721935120E-2L,
-4.5993270766361228596215288742353061431071E-2L,
-4.3110481649613269682442058976885699556950E-2L,
-4.0340872319076331310838085093194799765520E-2L,
-3.7682072451780927439219005993827431503510E-2L,
-3.5131785416234343803903228503274262719586E-2L,
-3.2687785249045246292687241862699949178831E-2L,
-3.0347913785027239068190798397055267411813E-2L,
-2.8110077931525797884641940838507561326298E-2L,
-2.5972247078357715036426583294246819637618E-2L,
-2.3932450635346084858612873953407168217307E-2L,
-2.1988775689981395152022535153795155900240E-2L,
-2.0139364778244501615441044267387667496733E-2L,
-1.8382413762093794819267536615342902718324E-2L,
-1.6716169807550022358923589720001638093023E-2L,
-1.5138929457710992616226033183958974965355E-2L,
-1.3649036795397472900424896523305726435029E-2L,
-1.2244881690473465543308397998034325468152E-2L,
-1.0924898127200937840689817557742469105693E-2L,
-9.6875626072830301572839422532631079809328E-3L,
-8.5313926245226231463436209313499745894157E-3L,
-7.4549452072765973384933565912143044991706E-3L,
-6.4568155251217050991200599386801665681310E-3L,
-5.5356355563671005131126851708522185605193E-3L,
-4.6900728132525199028885749289712348829878E-3L,
-3.9188291218610470766469347968659624282519E-3L,
-3.2206394539524058873423550293617843896540E-3L,
-2.5942708080877805657374888909297113032132E-3L,
-2.0385211375711716729239156839929281289086E-3L,
-1.5522183228760777967376942769773768850872E-3L,
-1.1342191863606077520036253234446621373191E-3L,
-7.8340854719967065861624024730268350459991E-4L,
-4.9869831458030115699628274852562992756174E-4L,
-2.7902661731604211834685052867305795169688E-4L,
-1.2335696813916860754951146082826952093496E-4L,
-3.0677461025892873184042490943581654591817E-5L,
L(-5.5345593589352099112142921677820359632418E-2),
L(-5.2108257402767124761784665198737642086148E-2),
L(-4.8991686870576856279407775480686721935120E-2),
L(-4.5993270766361228596215288742353061431071E-2),
L(-4.3110481649613269682442058976885699556950E-2),
L(-4.0340872319076331310838085093194799765520E-2),
L(-3.7682072451780927439219005993827431503510E-2),
L(-3.5131785416234343803903228503274262719586E-2),
L(-3.2687785249045246292687241862699949178831E-2),
L(-3.0347913785027239068190798397055267411813E-2),
L(-2.8110077931525797884641940838507561326298E-2),
L(-2.5972247078357715036426583294246819637618E-2),
L(-2.3932450635346084858612873953407168217307E-2),
L(-2.1988775689981395152022535153795155900240E-2),
L(-2.0139364778244501615441044267387667496733E-2),
L(-1.8382413762093794819267536615342902718324E-2),
L(-1.6716169807550022358923589720001638093023E-2),
L(-1.5138929457710992616226033183958974965355E-2),
L(-1.3649036795397472900424896523305726435029E-2),
L(-1.2244881690473465543308397998034325468152E-2),
L(-1.0924898127200937840689817557742469105693E-2),
L(-9.6875626072830301572839422532631079809328E-3),
L(-8.5313926245226231463436209313499745894157E-3),
L(-7.4549452072765973384933565912143044991706E-3),
L(-6.4568155251217050991200599386801665681310E-3),
L(-5.5356355563671005131126851708522185605193E-3),
L(-4.6900728132525199028885749289712348829878E-3),
L(-3.9188291218610470766469347968659624282519E-3),
L(-3.2206394539524058873423550293617843896540E-3),
L(-2.5942708080877805657374888909297113032132E-3),
L(-2.0385211375711716729239156839929281289086E-3),
L(-1.5522183228760777967376942769773768850872E-3),
L(-1.1342191863606077520036253234446621373191E-3),
L(-7.8340854719967065861624024730268350459991E-4),
L(-4.9869831458030115699628274852562992756174E-4),
L(-2.7902661731604211834685052867305795169688E-4),
L(-1.2335696813916860754951146082826952093496E-4),
L(-3.0677461025892873184042490943581654591817E-5),
#define ZERO logtbl[38]
0.0000000000000000000000000000000000000000E0L,
-3.0359557945051052537099938863236321874198E-5L,
-1.2081346403474584914595395755316412213151E-4L,
-2.7044071846562177120083903771008342059094E-4L,
-4.7834133324631162897179240322783590830326E-4L,
-7.4363569786340080624467487620270965403695E-4L,
-1.0654639687057968333207323853366578860679E-3L,
-1.4429854811877171341298062134712230604279E-3L,
-1.8753781835651574193938679595797367137975E-3L,
-2.3618380914922506054347222273705859653658E-3L,
-2.9015787624124743013946600163375853631299E-3L,
-3.4938307889254087318399313316921940859043E-3L,
-4.1378413103128673800485306215154712148146E-3L,
-4.8328735414488877044289435125365629849599E-3L,
-5.5782063183564351739381962360253116934243E-3L,
-6.3731336597098858051938306767880719015261E-3L,
-7.2169643436165454612058905294782949315193E-3L,
-8.1090214990427641365934846191367315083867E-3L,
-9.0486422112807274112838713105168375482480E-3L,
-1.0035177140880864314674126398350812606841E-2L,
-1.1067990155502102718064936259435676477423E-2L,
-1.2146457974158024928196575103115488672416E-2L,
-1.3269969823361415906628825374158424754308E-2L,
-1.4437927104692837124388550722759686270765E-2L,
-1.5649743073340777659901053944852735064621E-2L,
-1.6904842527181702880599758489058031645317E-2L,
-1.8202661505988007336096407340750378994209E-2L,
-1.9542647000370545390701192438691126552961E-2L,
-2.0924256670080119637427928803038530924742E-2L,
-2.2346958571309108496179613803760727786257E-2L,
-2.3810230892650362330447187267648486279460E-2L,
-2.5313561699385640380910474255652501521033E-2L,
-2.6856448685790244233704909690165496625399E-2L,
-2.8438398935154170008519274953860128449036E-2L,
-3.0058928687233090922411781058956589863039E-2L,
-3.1717563112854831855692484086486099896614E-2L,
-3.3413836095418743219397234253475252001090E-2L,
-3.5147290019036555862676702093393332533702E-2L,
-3.6917475563073933027920505457688955423688E-2L,
-3.8723951502862058660874073462456610731178E-2L,
-4.0566284516358241168330505467000838017425E-2L,
-4.2444048996543693813649967076598766917965E-2L,
-4.4356826869355401653098777649745233339196E-2L,
-4.6304207416957323121106944474331029996141E-2L,
-4.8285787106164123613318093945035804818364E-2L,
-5.0301169421838218987124461766244507342648E-2L,
-5.2349964705088137924875459464622098310997E-2L,
-5.4431789996103111613753440311680967840214E-2L,
-5.6546268881465384189752786409400404404794E-2L,
-5.8693031345788023909329239565012647817664E-2L,
-6.0871713627532018185577188079210189048340E-2L,
-6.3081958078862169742820420185833800925568E-2L,
-6.5323413029406789694910800219643791556918E-2L,
-6.7595732653791419081537811574227049288168E-2L
L(0.0000000000000000000000000000000000000000E0),
L(-3.0359557945051052537099938863236321874198E-5),
L(-1.2081346403474584914595395755316412213151E-4),
L(-2.7044071846562177120083903771008342059094E-4),
L(-4.7834133324631162897179240322783590830326E-4),
L(-7.4363569786340080624467487620270965403695E-4),
L(-1.0654639687057968333207323853366578860679E-3),
L(-1.4429854811877171341298062134712230604279E-3),
L(-1.8753781835651574193938679595797367137975E-3),
L(-2.3618380914922506054347222273705859653658E-3),
L(-2.9015787624124743013946600163375853631299E-3),
L(-3.4938307889254087318399313316921940859043E-3),
L(-4.1378413103128673800485306215154712148146E-3),
L(-4.8328735414488877044289435125365629849599E-3),
L(-5.5782063183564351739381962360253116934243E-3),
L(-6.3731336597098858051938306767880719015261E-3),
L(-7.2169643436165454612058905294782949315193E-3),
L(-8.1090214990427641365934846191367315083867E-3),
L(-9.0486422112807274112838713105168375482480E-3),
L(-1.0035177140880864314674126398350812606841E-2),
L(-1.1067990155502102718064936259435676477423E-2),
L(-1.2146457974158024928196575103115488672416E-2),
L(-1.3269969823361415906628825374158424754308E-2),
L(-1.4437927104692837124388550722759686270765E-2),
L(-1.5649743073340777659901053944852735064621E-2),
L(-1.6904842527181702880599758489058031645317E-2),
L(-1.8202661505988007336096407340750378994209E-2),
L(-1.9542647000370545390701192438691126552961E-2),
L(-2.0924256670080119637427928803038530924742E-2),
L(-2.2346958571309108496179613803760727786257E-2),
L(-2.3810230892650362330447187267648486279460E-2),
L(-2.5313561699385640380910474255652501521033E-2),
L(-2.6856448685790244233704909690165496625399E-2),
L(-2.8438398935154170008519274953860128449036E-2),
L(-3.0058928687233090922411781058956589863039E-2),
L(-3.1717563112854831855692484086486099896614E-2),
L(-3.3413836095418743219397234253475252001090E-2),
L(-3.5147290019036555862676702093393332533702E-2),
L(-3.6917475563073933027920505457688955423688E-2),
L(-3.8723951502862058660874073462456610731178E-2),
L(-4.0566284516358241168330505467000838017425E-2),
L(-4.2444048996543693813649967076598766917965E-2),
L(-4.4356826869355401653098777649745233339196E-2),
L(-4.6304207416957323121106944474331029996141E-2),
L(-4.8285787106164123613318093945035804818364E-2),
L(-5.0301169421838218987124461766244507342648E-2),
L(-5.2349964705088137924875459464622098310997E-2),
L(-5.4431789996103111613753440311680967840214E-2),
L(-5.6546268881465384189752786409400404404794E-2),
L(-5.8693031345788023909329239565012647817664E-2),
L(-6.0871713627532018185577188079210189048340E-2),
L(-6.3081958078862169742820420185833800925568E-2),
L(-6.5323413029406789694910800219643791556918E-2),
L(-6.7595732653791419081537811574227049288168E-2)
};
/* ln(2) = ln2a + ln2b with extended precision. */
static const _Float128
ln2a = 6.93145751953125e-1L,
ln2b = 1.4286068203094172321214581765680755001344E-6L;
ln2a = L(6.93145751953125e-1),
ln2b = L(1.4286068203094172321214581765680755001344E-6);
_Float128
__ieee754_logl(_Float128 x)
@ -198,7 +198,7 @@ __ieee754_logl(_Float128 x)
/* log(0) = -infinity. */
if ((k | u.parts32.w1 | u.parts32.w2 | u.parts32.w3) == 0)
{
return -0.5L / ZERO;
return L(-0.5) / ZERO;
}
/* log ( x < 0 ) = NaN */
if (m & 0x80000000)
@ -238,13 +238,13 @@ __ieee754_logl(_Float128 x)
t.parts32.w3 = 0;
}
/* On this interval the table is not used due to cancellation error. */
if ((x <= 1.0078125L) && (x >= 0.9921875L))
if ((x <= L(1.0078125)) && (x >= L(0.9921875)))
{
if (x == 1.0L)
return 0.0L;
z = x - 1.0L;
if (x == 1)
return 0;
z = x - 1;
k = 64;
t.value = 1.0L;
t.value = 1;
e = 0;
}
else
@ -274,7 +274,7 @@ __ieee754_logl(_Float128 x)
y += e * ln2b; /* Base 2 exponent offset times ln(2). */
y += z;
y += logtbl[k-26]; /* log(t) - (t-1) */
y += (t.value - 1.0L);
y += (t.value - 1);
y += e * ln2a;
return y;
}

76
sysdeps/ieee754/ldbl-128/e_powl.c
View File

@ -68,28 +68,28 @@
#include <math_private.h>
static const _Float128 bp[] = {
1.0L,
1.5L,
1,
L(1.5),
};
/* log_2(1.5) */
static const _Float128 dp_h[] = {
0.0,
5.8496250072115607565592654282227158546448E-1L
L(5.8496250072115607565592654282227158546448E-1)
};
/* Low part of log_2(1.5) */
static const _Float128 dp_l[] = {
0.0,
1.0579781240112554492329533686862998106046E-16L
L(1.0579781240112554492329533686862998106046E-16)
};
static const _Float128 zero = 0.0L,
one = 1.0L,
two = 2.0L,
two113 = 1.0384593717069655257060992658440192E34L,
huge = 1.0e3000L,
tiny = 1.0e-3000L;
static const _Float128 zero = 0,
one = 1,
two = 2,
two113 = L(1.0384593717069655257060992658440192E34),
huge = L(1.0e3000),
tiny = L(1.0e-3000);
/* 3/2 log x = 3 z + z^3 + z^3 (z^2 R(z^2))
z = (x-1)/(x+1)
@ -97,19 +97,19 @@ static const _Float128 zero = 0.0L,
Peak relative error 2.3e-37 */
static const _Float128 LN[] =
{
-3.0779177200290054398792536829702930623200E1L,
6.5135778082209159921251824580292116201640E1L,
-4.6312921812152436921591152809994014413540E1L,
1.2510208195629420304615674658258363295208E1L,
-9.9266909031921425609179910128531667336670E-1L
L(-3.0779177200290054398792536829702930623200E1),
L(6.5135778082209159921251824580292116201640E1),
L(-4.6312921812152436921591152809994014413540E1),
L(1.2510208195629420304615674658258363295208E1),
L(-9.9266909031921425609179910128531667336670E-1)
};
static const _Float128 LD[] =
{
-5.129862866715009066465422805058933131960E1L,
1.452015077564081884387441590064272782044E2L,
-1.524043275549860505277434040464085593165E2L,
7.236063513651544224319663428634139768808E1L,
-1.494198912340228235853027849917095580053E1L
L(-5.129862866715009066465422805058933131960E1),
L(1.452015077564081884387441590064272782044E2),
L(-1.524043275549860505277434040464085593165E2),
L(7.236063513651544224319663428634139768808E1),
L(-1.494198912340228235853027849917095580053E1)
/* 1.0E0 */
};
@ -118,31 +118,31 @@ static const _Float128 LD[] =
Peak relative error 5.7e-38 */
static const _Float128 PN[] =
{
5.081801691915377692446852383385968225675E8L,
9.360895299872484512023336636427675327355E6L,
4.213701282274196030811629773097579432957E4L,
5.201006511142748908655720086041570288182E1L,
9.088368420359444263703202925095675982530E-3L,
L(5.081801691915377692446852383385968225675E8),
L(9.360895299872484512023336636427675327355E6),
L(4.213701282274196030811629773097579432957E4),
L(5.201006511142748908655720086041570288182E1),
L(9.088368420359444263703202925095675982530E-3),
};
static const _Float128 PD[] =
{
3.049081015149226615468111430031590411682E9L,
1.069833887183886839966085436512368982758E8L,
8.259257717868875207333991924545445705394E5L,
1.872583833284143212651746812884298360922E3L,
L(3.049081015149226615468111430031590411682E9),
L(1.069833887183886839966085436512368982758E8),
L(8.259257717868875207333991924545445705394E5),
L(1.872583833284143212651746812884298360922E3),
/* 1.0E0 */
};
static const _Float128
/* ln 2 */
lg2 = 6.9314718055994530941723212145817656807550E-1L,
lg2_h = 6.9314718055994528622676398299518041312695E-1L,
lg2_l = 2.3190468138462996154948554638754786504121E-17L,
ovt = 8.0085662595372944372e-0017L,
lg2 = L(6.9314718055994530941723212145817656807550E-1),
lg2_h = L(6.9314718055994528622676398299518041312695E-1),
lg2_l = L(2.3190468138462996154948554638754786504121E-17),
ovt = L(8.0085662595372944372e-0017),
/* 2/(3*log(2)) */
cp = 9.6179669392597560490661645400126142495110E-1L,
cp_h = 9.6179669392597555432899980587535537779331E-1L,
cp_l = 5.0577616648125906047157785230014751039424E-17L;
cp = L(9.6179669392597560490661645400126142495110E-1),
cp_h = L(9.6179669392597555432899980587535537779331E-1),
cp_l = L(5.0577616648125906047157785230014751039424E-17);
_Float128
__ieee754_powl (_Float128 x, _Float128 y)
@ -171,7 +171,7 @@ __ieee754_powl (_Float128 x, _Float128 y)
/* 1.0**y = 1; -1.0**+-Inf = 1 */
if (x == one)
return one;
if (x == -1.0L && iy == 0x7fff0000
if (x == -1 && iy == 0x7fff0000
&& (q.parts32.w1 | q.parts32.w2 | q.parts32.w3) == 0)
return one;
@ -411,7 +411,7 @@ __ieee754_powl (_Float128 x, _Float128 y)
n = 0;
if (i > 0x3ffe0000)
{ /* if |z| > 0.5, set n = [z+0.5] */
n = __floorl (z + 0.5L);
n = __floorl (z + L(0.5));
t = n;
p_h -= t;
}

4
sysdeps/ieee754/ldbl-128/e_rem_pio2l.c
View File

@ -186,11 +186,11 @@ static const int32_t two_over_pi[] = {
static const _Float128 c[] = {
/* 113 bits of pi/2 */
#define PI_2_1 c[0]
0x1.921fb54442d18469898cc51701b8p+0L,
L(0x1.921fb54442d18469898cc51701b8p+0),
/* pi/2 - PI_2_1 */
#define PI_2_1t c[1]
0x3.9a252049c1114cf98e804177d4c8p-116L,
L(0x3.9a252049c1114cf98e804177d4c8p-116),
};
int32_t __ieee754_rem_pio2l(_Float128 x, _Float128 *y)

4
sysdeps/ieee754/ldbl-128/e_remainderl.c
View File

@ -24,7 +24,7 @@
#include <math.h>
#include <math_private.h>
static const _Float128 zero = 0.0L;
static const _Float128 zero = 0;
_Float128
@ -58,7 +58,7 @@ __ieee754_remainderl(_Float128 x, _Float128 p)
if(x+x>=p) x -= p;
}
} else {
p_half = 0.5L*p;
p_half = L(0.5)*p;
if(x>p_half) {
x-=p;
if(x>=p_half) x -= p;

4
sysdeps/ieee754/ldbl-128/e_sinhl.c
View File

@ -57,8 +57,8 @@
#include <math.h>
#include <math_private.h>
static const _Float128 one = 1.0, shuge = 1.0e4931L,
ovf_thresh = 1.1357216553474703894801348310092223067821E4L;
static const _Float128 one = 1.0, shuge = L(1.0e4931),
ovf_thresh = L(1.1357216553474703894801348310092223067821E4);
_Float128
__ieee754_sinhl (_Float128 x)

38
sysdeps/ieee754/ldbl-128/k_cosl.c
View File

@ -22,7 +22,7 @@
static const _Float128 c[] = {
#define ONE c[0]
1.00000000000000000000000000000000000E+00L, /* 3fff0000000000000000000000000000 */
L(1.00000000000000000000000000000000000E+00), /* 3fff0000000000000000000000000000 */
/* cos x ~ ONE + x^2 ( SCOS1 + SCOS2 * x^2 + ... + SCOS4 * x^6 + SCOS5 * x^8 )
x in <0,1/256> */
@ -31,11 +31,11 @@ static const _Float128 c[] = {
#define SCOS3 c[3]
#define SCOS4 c[4]
#define SCOS5 c[5]
-5.00000000000000000000000000000000000E-01L, /* bffe0000000000000000000000000000 */
4.16666666666666666666666666556146073E-02L, /* 3ffa5555555555555555555555395023 */
-1.38888888888888888888309442601939728E-03L, /* bff56c16c16c16c16c16a566e42c0375 */
2.48015873015862382987049502531095061E-05L, /* 3fefa01a01a019ee02dcf7da2d6d5444 */
-2.75573112601362126593516899592158083E-07L, /* bfe927e4f5dce637cb0b54908754bde0 */
L(-5.00000000000000000000000000000000000E-01), /* bffe0000000000000000000000000000 */
L(4.16666666666666666666666666556146073E-02), /* 3ffa5555555555555555555555395023 */
L(-1.38888888888888888888309442601939728E-03), /* bff56c16c16c16c16c16a566e42c0375 */
L(2.48015873015862382987049502531095061E-05), /* 3fefa01a01a019ee02dcf7da2d6d5444 */
L(-2.75573112601362126593516899592158083E-07), /* bfe927e4f5dce637cb0b54908754bde0 */
/* cos x ~ ONE + x^2 ( COS1 + COS2 * x^2 + ... + COS7 * x^12 + COS8 * x^14 )
x in <0,0.1484375> */
@ -47,14 +47,14 @@ static const _Float128 c[] = {
#define COS6 c[11]
#define COS7 c[12]
#define COS8 c[13]
-4.99999999999999999999999999999999759E-01L, /* bffdfffffffffffffffffffffffffffb */
4.16666666666666666666666666651287795E-02L, /* 3ffa5555555555555555555555516f30 */
-1.38888888888888888888888742314300284E-03L, /* bff56c16c16c16c16c16c16a463dfd0d */
2.48015873015873015867694002851118210E-05L, /* 3fefa01a01a01a01a0195cebe6f3d3a5 */
-2.75573192239858811636614709689300351E-07L, /* bfe927e4fb7789f5aa8142a22044b51f */
2.08767569877762248667431926878073669E-09L, /* 3fe21eed8eff881d1e9262d7adff4373 */
-1.14707451049343817400420280514614892E-11L, /* bfda9397496922a9601ed3d4ca48944b */
4.77810092804389587579843296923533297E-14L, /* 3fd2ae5f8197cbcdcaf7c3fb4523414c */
L(-4.99999999999999999999999999999999759E-01), /* bffdfffffffffffffffffffffffffffb */
L(4.16666666666666666666666666651287795E-02), /* 3ffa5555555555555555555555516f30 */
L(-1.38888888888888888888888742314300284E-03), /* bff56c16c16c16c16c16c16a463dfd0d */
L(2.48015873015873015867694002851118210E-05), /* 3fefa01a01a01a01a0195cebe6f3d3a5 */
L(-2.75573192239858811636614709689300351E-07), /* bfe927e4fb7789f5aa8142a22044b51f */
L(2.08767569877762248667431926878073669E-09), /* 3fe21eed8eff881d1e9262d7adff4373 */
L(-1.14707451049343817400420280514614892E-11), /* bfda9397496922a9601ed3d4ca48944b */
L(4.77810092804389587579843296923533297E-14), /* 3fd2ae5f8197cbcdcaf7c3fb4523414c */
/* sin x ~ ONE * x + x^3 ( SSIN1 + SSIN2 * x^2 + ... + SSIN4 * x^6 + SSIN5 * x^8 )
x in <0,1/256> */
@ -63,11 +63,11 @@ static const _Float128 c[] = {
#define SSIN3 c[16]
#define SSIN4 c[17]
#define SSIN5 c[18]
-1.66666666666666666666666666666666659E-01L, /* bffc5555555555555555555555555555 */
8.33333333333333333333333333146298442E-03L, /* 3ff81111111111111111111110fe195d */
-1.98412698412698412697726277416810661E-04L, /* bff2a01a01a01a01a019e7121e080d88 */
2.75573192239848624174178393552189149E-06L, /* 3fec71de3a556c640c6aaa51aa02ab41 */
-2.50521016467996193495359189395805639E-08L, /* bfe5ae644ee90c47dc71839de75b2787 */
L(-1.66666666666666666666666666666666659E-01), /* bffc5555555555555555555555555555 */
L(8.33333333333333333333333333146298442E-03), /* 3ff81111111111111111111110fe195d */
L(-1.98412698412698412697726277416810661E-04), /* bff2a01a01a01a01a019e7121e080d88 */
L(2.75573192239848624174178393552189149E-06), /* 3fec71de3a556c640c6aaa51aa02ab41 */
L(-2.50521016467996193495359189395805639E-08), /* bfe5ae644ee90c47dc71839de75b2787 */
};
#define SINCOSL_COS_HI 0

54
sysdeps/ieee754/ldbl-128/k_sincosl.c
View File

@ -23,7 +23,7 @@
static const _Float128 c[] = {
#define ONE c[0]
1.00000000000000000000000000000000000E+00L, /* 3fff0000000000000000000000000000 */
L(1.00000000000000000000000000000000000E+00), /* 3fff0000000000000000000000000000 */
/* cos x ~ ONE + x^2 ( SCOS1 + SCOS2 * x^2 + ... + SCOS4 * x^6 + SCOS5 * x^8 )
x in <0,1/256> */
@ -32,11 +32,11 @@ static const _Float128 c[] = {
#define SCOS3 c[3]
#define SCOS4 c[4]
#define SCOS5 c[5]
-5.00000000000000000000000000000000000E-01L, /* bffe0000000000000000000000000000 */
4.16666666666666666666666666556146073E-02L, /* 3ffa5555555555555555555555395023 */
-1.38888888888888888888309442601939728E-03L, /* bff56c16c16c16c16c16a566e42c0375 */
2.48015873015862382987049502531095061E-05L, /* 3fefa01a01a019ee02dcf7da2d6d5444 */
-2.75573112601362126593516899592158083E-07L, /* bfe927e4f5dce637cb0b54908754bde0 */
L(-5.00000000000000000000000000000000000E-01), /* bffe0000000000000000000000000000 */
L(4.16666666666666666666666666556146073E-02), /* 3ffa5555555555555555555555395023 */
L(-1.38888888888888888888309442601939728E-03), /* bff56c16c16c16c16c16a566e42c0375 */
L(2.48015873015862382987049502531095061E-05), /* 3fefa01a01a019ee02dcf7da2d6d5444 */
L(-2.75573112601362126593516899592158083E-07), /* bfe927e4f5dce637cb0b54908754bde0 */
/* cos x ~ ONE + x^2 ( COS1 + COS2 * x^2 + ... + COS7 * x^12 + COS8 * x^14 )
x in <0,0.1484375> */
@ -48,14 +48,14 @@ static const _Float128 c[] = {
#define COS6 c[11]
#define COS7 c[12]
#define COS8 c[13]
-4.99999999999999999999999999999999759E-01L, /* bffdfffffffffffffffffffffffffffb */
4.16666666666666666666666666651287795E-02L, /* 3ffa5555555555555555555555516f30 */
-1.38888888888888888888888742314300284E-03L, /* bff56c16c16c16c16c16c16a463dfd0d */
2.48015873015873015867694002851118210E-05L, /* 3fefa01a01a01a01a0195cebe6f3d3a5 */
-2.75573192239858811636614709689300351E-07L, /* bfe927e4fb7789f5aa8142a22044b51f */
2.08767569877762248667431926878073669E-09L, /* 3fe21eed8eff881d1e9262d7adff4373 */
-1.14707451049343817400420280514614892E-11L, /* bfda9397496922a9601ed3d4ca48944b */
4.77810092804389587579843296923533297E-14L, /* 3fd2ae5f8197cbcdcaf7c3fb4523414c */
L(-4.99999999999999999999999999999999759E-01), /* bffdfffffffffffffffffffffffffffb */
L(4.16666666666666666666666666651287795E-02), /* 3ffa5555555555555555555555516f30 */
L(-1.38888888888888888888888742314300284E-03), /* bff56c16c16c16c16c16c16a463dfd0d */
L(2.48015873015873015867694002851118210E-05), /* 3fefa01a01a01a01a0195cebe6f3d3a5 */
L(-2.75573192239858811636614709689300351E-07), /* bfe927e4fb7789f5aa8142a22044b51f */
L(2.08767569877762248667431926878073669E-09), /* 3fe21eed8eff881d1e9262d7adff4373 */
L(-1.14707451049343817400420280514614892E-11), /* bfda9397496922a9601ed3d4ca48944b */
L(4.77810092804389587579843296923533297E-14), /* 3fd2ae5f8197cbcdcaf7c3fb4523414c */
/* sin x ~ ONE * x + x^3 ( SSIN1 + SSIN2 * x^2 + ... + SSIN4 * x^6 + SSIN5 * x^8 )
x in <0,1/256> */
@ -64,11 +64,11 @@ static const _Float128 c[] = {
#define SSIN3 c[16]
#define SSIN4 c[17]
#define SSIN5 c[18]
-1.66666666666666666666666666666666659E-01L, /* bffc5555555555555555555555555555 */
8.33333333333333333333333333146298442E-03L, /* 3ff81111111111111111111110fe195d */
-1.98412698412698412697726277416810661E-04L, /* bff2a01a01a01a01a019e7121e080d88 */
2.75573192239848624174178393552189149E-06L, /* 3fec71de3a556c640c6aaa51aa02ab41 */
-2.50521016467996193495359189395805639E-08L, /* bfe5ae644ee90c47dc71839de75b2787 */
L(-1.66666666666666666666666666666666659E-01), /* bffc5555555555555555555555555555 */
L(8.33333333333333333333333333146298442E-03), /* 3ff81111111111111111111110fe195d */
L(-1.98412698412698412697726277416810661E-04), /* bff2a01a01a01a01a019e7121e080d88 */
L(2.75573192239848624174178393552189149E-06), /* 3fec71de3a556c640c6aaa51aa02ab41 */
L(-2.50521016467996193495359189395805639E-08), /* bfe5ae644ee90c47dc71839de75b2787 */
/* sin x ~ ONE * x + x^3 ( SIN1 + SIN2 * x^2 + ... + SIN7 * x^12 + SIN8 * x^14 )
x in <0,0.1484375> */
@ -80,14 +80,14 @@ static const _Float128 c[] = {
#define SIN6 c[24]
#define SIN7 c[25]
#define SIN8 c[26]
-1.66666666666666666666666666666666538e-01L, /* bffc5555555555555555555555555550 */
8.33333333333333333333333333307532934e-03L, /* 3ff811111111111111111111110e7340 */
-1.98412698412698412698412534478712057e-04L, /* bff2a01a01a01a01a01a019e7a626296 */
2.75573192239858906520896496653095890e-06L, /* 3fec71de3a556c7338fa38527474b8f5 */
-2.50521083854417116999224301266655662e-08L, /* bfe5ae64567f544e16c7de65c2ea551f */
1.60590438367608957516841576404938118e-10L, /* 3fde6124613a811480538a9a41957115 */
-7.64716343504264506714019494041582610e-13L, /* bfd6ae7f3d5aef30c7bc660b060ef365 */
2.81068754939739570236322404393398135e-15L, /* 3fce9510115aabf87aceb2022a9a9180 */
L(-1.66666666666666666666666666666666538e-01), /* bffc5555555555555555555555555550 */
L(8.33333333333333333333333333307532934e-03), /* 3ff811111111111111111111110e7340 */
L(-1.98412698412698412698412534478712057e-04), /* bff2a01a01a01a01a01a019e7a626296 */
L(2.75573192239858906520896496653095890e-06), /* 3fec71de3a556c7338fa38527474b8f5 */
L(-2.50521083854417116999224301266655662e-08), /* bfe5ae64567f544e16c7de65c2ea551f */
L(1.60590438367608957516841576404938118e-10), /* 3fde6124613a811480538a9a41957115 */
L(-7.64716343504264506714019494041582610e-13), /* bfd6ae7f3d5aef30c7bc660b060ef365 */
L(2.81068754939739570236322404393398135e-15), /* 3fce9510115aabf87aceb2022a9a9180 */
};
#define SINCOSL_COS_HI 0

38
sysdeps/ieee754/ldbl-128/k_sinl.c
View File

@ -23,7 +23,7 @@
static const _Float128 c[] = {
#define ONE c[0]
1.00000000000000000000000000000000000E+00L, /* 3fff0000000000000000000000000000 */
L(1.00000000000000000000000000000000000E+00), /* 3fff0000000000000000000000000000 */
/* cos x ~ ONE + x^2 ( SCOS1 + SCOS2 * x^2 + ... + SCOS4 * x^6 + SCOS5 * x^8 )
x in <0,1/256> */
@ -32,11 +32,11 @@ static const _Float128 c[] = {
#define SCOS3 c[3]
#define SCOS4 c[4]
#define SCOS5 c[5]
-5.00000000000000000000000000000000000E-01L, /* bffe0000000000000000000000000000 */
4.16666666666666666666666666556146073E-02L, /* 3ffa5555555555555555555555395023 */
-1.38888888888888888888309442601939728E-03L, /* bff56c16c16c16c16c16a566e42c0375 */
2.48015873015862382987049502531095061E-05L, /* 3fefa01a01a019ee02dcf7da2d6d5444 */
-2.75573112601362126593516899592158083E-07L, /* bfe927e4f5dce637cb0b54908754bde0 */
L(-5.00000000000000000000000000000000000E-01), /* bffe0000000000000000000000000000 */
L(4.16666666666666666666666666556146073E-02), /* 3ffa5555555555555555555555395023 */
L(-1.38888888888888888888309442601939728E-03), /* bff56c16c16c16c16c16a566e42c0375 */
L(2.48015873015862382987049502531095061E-05), /* 3fefa01a01a019ee02dcf7da2d6d5444 */
L(-2.75573112601362126593516899592158083E-07), /* bfe927e4f5dce637cb0b54908754bde0 */
/* sin x ~ ONE * x + x^3 ( SIN1 + SIN2 * x^2 + ... + SIN7 * x^12 + SIN8 * x^14 )
x in <0,0.1484375> */
@ -48,14 +48,14 @@ static const _Float128 c[] = {
#define SIN6 c[11]
#define SIN7 c[12]
#define SIN8 c[13]
-1.66666666666666666666666666666666538e-01L, /* bffc5555555555555555555555555550 */
8.33333333333333333333333333307532934e-03L, /* 3ff811111111111111111111110e7340 */
-1.98412698412698412698412534478712057e-04L, /* bff2a01a01a01a01a01a019e7a626296 */
2.75573192239858906520896496653095890e-06L, /* 3fec71de3a556c7338fa38527474b8f5 */
-2.50521083854417116999224301266655662e-08L, /* bfe5ae64567f544e16c7de65c2ea551f */
1.60590438367608957516841576404938118e-10L, /* 3fde6124613a811480538a9a41957115 */
-7.64716343504264506714019494041582610e-13L, /* bfd6ae7f3d5aef30c7bc660b060ef365 */
2.81068754939739570236322404393398135e-15L, /* 3fce9510115aabf87aceb2022a9a9180 */
L(-1.66666666666666666666666666666666538e-01), /* bffc5555555555555555555555555550 */
L(8.33333333333333333333333333307532934e-03), /* 3ff811111111111111111111110e7340 */
L(-1.98412698412698412698412534478712057e-04), /* bff2a01a01a01a01a01a019e7a626296 */
L(2.75573192239858906520896496653095890e-06), /* 3fec71de3a556c7338fa38527474b8f5 */
L(-2.50521083854417116999224301266655662e-08), /* bfe5ae64567f544e16c7de65c2ea551f */
L(1.60590438367608957516841576404938118e-10), /* 3fde6124613a811480538a9a41957115 */
L(-7.64716343504264506714019494041582610e-13), /* bfd6ae7f3d5aef30c7bc660b060ef365 */
L(2.81068754939739570236322404393398135e-15), /* 3fce9510115aabf87aceb2022a9a9180 */
/* sin x ~ ONE * x + x^3 ( SSIN1 + SSIN2 * x^2 + ... + SSIN4 * x^6 + SSIN5 * x^8 )
x in <0,1/256> */
@ -64,11 +64,11 @@ static const _Float128 c[] = {
#define SSIN3 c[16]
#define SSIN4 c[17]
#define SSIN5 c[18]
-1.66666666666666666666666666666666659E-01L, /* bffc5555555555555555555555555555 */
8.33333333333333333333333333146298442E-03L, /* 3ff81111111111111111111110fe195d */
-1.98412698412698412697726277416810661E-04L, /* bff2a01a01a01a01a019e7121e080d88 */
2.75573192239848624174178393552189149E-06L, /* 3fec71de3a556c640c6aaa51aa02ab41 */
-2.50521016467996193495359189395805639E-08L, /* bfe5ae644ee90c47dc71839de75b2787 */
L(-1.66666666666666666666666666666666659E-01), /* bffc5555555555555555555555555555 */
L(8.33333333333333333333333333146298442E-03), /* 3ff81111111111111111111110fe195d */
L(-1.98412698412698412697726277416810661E-04), /* bff2a01a01a01a01a019e7121e080d88 */
L(2.75573192239848624174178393552189149E-06), /* 3fec71de3a556c640c6aaa51aa02ab41 */
L(-2.50521016467996193495359189395805639E-08), /* bfe5ae644ee90c47dc71839de75b2787 */
};
#define SINCOSL_COS_HI 0

28
sysdeps/ieee754/ldbl-128/k_tanl.c
View File

@ -61,25 +61,25 @@
#include <math.h>
#include <math_private.h>
static const _Float128
one = 1.0L,
pio4hi = 7.8539816339744830961566084581987569936977E-1L,
pio4lo = 2.1679525325309452561992610065108379921906E-35L,
one = 1,
pio4hi = L(7.8539816339744830961566084581987569936977E-1),
pio4lo = L(2.1679525325309452561992610065108379921906E-35),
/* tan x = x + x^3 / 3 + x^5 T(x^2)/U(x^2)
0 <= x <= 0.6743316650390625
Peak relative error 8.0e-36 */
TH = 3.333333333333333333333333333333333333333E-1L,
T0 = -1.813014711743583437742363284336855889393E7L,
T1 = 1.320767960008972224312740075083259247618E6L,
T2 = -2.626775478255838182468651821863299023956E4L,
T3 = 1.764573356488504935415411383687150199315E2L,
T4 = -3.333267763822178690794678978979803526092E-1L,
TH = L(3.333333333333333333333333333333333333333E-1),
T0 = L(-1.813014711743583437742363284336855889393E7),
T1 = L(1.320767960008972224312740075083259247618E6),
T2 = L(-2.626775478255838182468651821863299023956E4),
T3 = L(1.764573356488504935415411383687150199315E2),
T4 = L(-3.333267763822178690794678978979803526092E-1),
U0 = -1.359761033807687578306772463253710042010E8L,
U1 = 6.494370630656893175666729313065113194784E7L,
U2 = -4.180787672237927475505536849168729386782E6L,
U3 = 8.031643765106170040139966622980914621521E4L,
U4 = -5.323131271912475695157127875560667378597E2L;
U0 = L(-1.359761033807687578306772463253710042010E8),
U1 = L(6.494370630656893175666729313065113194784E7),
U2 = L(-4.180787672237927475505536849168729386782E6),
U3 = L(8.031643765106170040139966622980914621521E4),
U4 = L(-5.323131271912475695157127875560667378597E2);
/* 1.000000000000000000000000000000000000000E0 */

684
sysdeps/ieee754/ldbl-128/lgamma_negl.c
View File

@ -22,106 +22,106 @@
static const _Float128 lgamma_zeros[][2] =
{
{ -0x2.74ff92c01f0d82abec9f315f1a08p+0L, 0xe.d3ccb7fb2658634a2b9f6b2ba81p-116L },
{ -0x2.bf6821437b20197995a4b4641eaep+0L, -0xb.f4b00b4829f961e428533e6ad048p-116L },
{ -0x3.24c1b793cb35efb8be699ad3d9bap+0L, -0x6.5454cb7fac60e3f16d9d7840c2ep-116L },
{ -0x3.f48e2a8f85fca170d4561291236cp+0L, -0xc.320a4887d1cb4c711828a75d5758p-116L },
{ -0x4.0a139e16656030c39f0b0de18114p+0L, 0x1.53e84029416e1242006b2b3d1cfp-112L },
{ -0x4.fdd5de9bbabf3510d0aa40769884p+0L, -0x1.01d7d78125286f78d1e501f14966p-112L },
{ -0x5.021a95fc2db6432a4c56e595394cp+0L, -0x1.ecc6af0430d4fe5746fa7233356fp-112L },
{ -0x5.ffa4bd647d0357dd4ed62cbd31ecp+0L, -0x1.f8e3f8e5deba2d67dbd70dd96ce1p-112L },
{ -0x6.005ac9625f233b607c2d96d16384p+0L, -0x1.cb86ac569340cf1e5f24df7aab7bp-112L },
{ -0x6.fff2fddae1bbff3d626b65c23fd4p+0L, 0x1.e0bfcff5c457ebcf4d3ad9674167p-112L },
{ -0x7.000cff7b7f87adf4482dcdb98784p+0L, 0x1.54d99e35a74d6407b80292df199fp-112L },
{ -0x7.fffe5fe05673c3ca9e82b522b0ccp+0L, 0x1.62d177c832e0eb42c2faffd1b145p-112L },
{ -0x8.0001a01459fc9f60cb3cec1cec88p+0L, 0x2.8998835ac7277f7bcef67c47f188p-112L },
{ -0x8.ffffd1c425e80ffc864e95749258p+0L, -0x1.e7e20210e7f81cf781b44e9d2b02p-112L },
{ -0x9.00002e3bb47d86d6d843fedc352p+0L, 0x2.14852f613a16291751d2ab751f7ep-112L },
{ -0x9.fffffb606bdfdcd062ae77a50548p+0L, 0x3.962d1490cc2e8f031c7007eaa1ap-116L },
{ -0xa.0000049f93bb9927b45d95e1544p+0L, -0x1.e03086db9146a9287bd4f2172d5ap-112L },
{ -0xa.ffffff9466e9f1b36dacd2adbd18p+0L, -0xd.05a4e458062f3f95345a4d9c9b6p-116L },
{ -0xb.0000006b9915315d965a6ffea41p+0L, 0x1.b415c6fff233e7b7fdc3a094246fp-112L },
{ -0xb.fffffff7089387387de41acc3d4p+0L, 0x3.687427c6373bd74a10306e10a28ep-112L },
{ -0xc.00000008f76c7731567c0f0250fp+0L, -0x3.87920df5675833859190eb128ef6p-112L },
{ -0xc.ffffffff4f6dcf617f97a5ffc758p+0L, 0x2.ab72d76f32eaee2d1a42ed515d3ap-116L },
{ -0xd.00000000b092309c06683dd1b9p+0L, -0x3.e3700857a15c19ac5a611de9688ap-112L },
{ -0xd.fffffffff36345ab9e184a3e09dp+0L, -0x1.176dc48e47f62d917973dd44e553p-112L },
{ -0xe.000000000c9cba545e94e75ec57p+0L, -0x1.8f753e2501e757a17cf2ecbeeb89p-112L },
{ -0xe.ffffffffff28c060c6604ef3037p+0L, -0x1.f89d37357c9e3dc17c6c6e63becap-112L },
{ -0xf.0000000000d73f9f399bd0e420f8p+0L, -0x5.e9ee31b0b890744fc0e3fbc01048p-116L },
{ -0xf.fffffffffff28c060c6621f512e8p+0L, 0xd.1b2eec9d960bd9adc5be5f5fa5p-116L },
{ -0x1.000000000000d73f9f399da1424cp+4L, 0x6.c46e0e88305d2800f0e414c506a8p-116L },
{ -0x1.0ffffffffffff3569c47e7a93e1cp+4L, -0x4.6a08a2e008a998ebabb8087efa2cp-112L },
{ -0x1.1000000000000ca963b818568887p+4L, -0x6.ca5a3a64ec15db0a95caf2c9ffb4p-112L },
{ -0x1.1fffffffffffff4bec3ce234132dp+4L, -0x8.b2b726187c841cb92cd5221e444p-116L },
{ -0x1.20000000000000b413c31dcbeca5p+4L, 0x3.c4d005344b6cd0e7231120294abcp-112L },
{ -0x1.2ffffffffffffff685b25cbf5f54p+4L, -0x5.ced932e38485f7dd296b8fa41448p-112L },
{ -0x1.30000000000000097a4da340a0acp+4L, 0x7.e484e0e0ffe38d406ebebe112f88p-112L },
{ -0x1.3fffffffffffffff86af516ff7f7p+4L, -0x6.bd67e720d57854502b7db75e1718p-112L },
{ -0x1.40000000000000007950ae900809p+4L, 0x6.bec33375cac025d9c073168c5d9p-112L },
{ -0x1.4ffffffffffffffffa391c4248c3p+4L, 0x5.c63022b62b5484ba346524db607p-112L },
{ -0x1.500000000000000005c6e3bdb73dp+4L, -0x5.c62f55ed5322b2685c5e9a51e6a8p-112L },
{ -0x1.5fffffffffffffffffbcc71a492p+4L, -0x1.eb5aeb96c74d7ad25e060528fb5p-112L },
{ -0x1.6000000000000000004338e5b6ep+4L, 0x1.eb5aec04b2f2eb663e4e3d8a018cp-112L },
{ -0x1.6ffffffffffffffffffd13c97d9dp+4L, -0x3.8fcc4d08d6fe5aa56ab04307ce7ep-112L },
{ -0x1.70000000000000000002ec368263p+4L, 0x3.8fcc4d090cee2f5d0b69a99c353cp-112L },
{ -0x1.7fffffffffffffffffffe0d30fe7p+4L, 0x7.2f577cca4b4c8cb1dc14001ac5ecp-112L },
{ -0x1.800000000000000000001f2cf019p+4L, -0x7.2f577cca4b3442e35f0040b3b9e8p-112L },
{ -0x1.8ffffffffffffffffffffec0c332p+4L, -0x2.e9a0572b1bb5b95f346a92d67a6p-112L },
{ -0x1.90000000000000000000013f3ccep+4L, 0x2.e9a0572b1bb5c371ddb3561705ap-112L },
{ -0x1.9ffffffffffffffffffffff3b8bdp+4L, -0x1.cad8d32e386fd783e97296d63dcbp-116L },
{ -0x1.a0000000000000000000000c4743p+4L, 0x1.cad8d32e386fd7c1ab8c1fe34c0ep-116L },
{ -0x1.afffffffffffffffffffffff8b95p+4L, -0x3.8f48cc5737d5979c39db806c5406p-112L },
{ -0x1.b00000000000000000000000746bp+4L, 0x3.8f48cc5737d5979c3b3a6bda06f6p-112L },
{ -0x1.bffffffffffffffffffffffffbd8p+4L, 0x6.2898d42174dcf171470d8c8c6028p-112L },
{ -0x1.c000000000000000000000000428p+4L, -0x6.2898d42174dcf171470d18ba412cp-112L },
{ -0x1.cfffffffffffffffffffffffffdbp+4L, -0x4.c0ce9794ea50a839e311320bde94p-112L },
{ -0x1.d000000000000000000000000025p+4L, 0x4.c0ce9794ea50a839e311322f7cf8p-112L },
{ -0x1.dfffffffffffffffffffffffffffp+4L, 0x3.932c5047d60e60caded4c298a174p-112L },
{ -0x1.e000000000000000000000000001p+4L, -0x3.932c5047d60e60caded4c298973ap-112L },
{ -0x1.fp+4L, 0xa.1a6973c1fade2170f7237d35fe3p-116L },
{ -0x1.fp+4L, -0xa.1a6973c1fade2170f7237d35fe08p-116L },
{ -0x2p+4L, 0x5.0d34b9e0fd6f10b87b91be9aff1p-120L },
{ -0x2p+4L, -0x5.0d34b9e0fd6f10b87b91be9aff0cp-120L },
{ -0x2.1p+4L, 0x2.73024a9ba1aa36a7059bff52e844p-124L },
{ -0x2.1p+4L, -0x2.73024a9ba1aa36a7059bff52e844p-124L },
{ -0x2.2p+4L, 0x1.2710231c0fd7a13f8a2b4af9d6b7p-128L },
{ -0x2.2p+4L, -0x1.2710231c0fd7a13f8a2b4af9d6b7p-128L },
{ -0x2.3p+4L, 0x8.6e2ce38b6c8f9419e3fad3f0312p-136L },
{ -0x2.3p+4L, -0x8.6e2ce38b6c8f9419e3fad3f0312p-136L },
{ -0x2.4p+4L, 0x3.bf30652185952560d71a254e4eb8p-140L },
{ -0x2.4p+4L, -0x3.bf30652185952560d71a254e4eb8p-140L },
{ -0x2.5p+4L, 0x1.9ec8d1c94e85af4c78b15c3d89d3p-144L },
{ -0x2.5p+4L, -0x1.9ec8d1c94e85af4c78b15c3d89d3p-144L },
{ -0x2.6p+4L, 0xa.ea565ce061d57489e9b85276274p-152L },
{ -0x2.6p+4L, -0xa.ea565ce061d57489e9b85276274p-152L },
{ -0x2.7p+4L, 0x4.7a6512692eb37804111dabad30ecp-156L },
{ -0x2.7p+4L, -0x4.7a6512692eb37804111dabad30ecp-156L },
{ -0x2.8p+4L, 0x1.ca8ed42a12ae3001a07244abad2bp-160L },
{ -0x2.8p+4L, -0x1.ca8ed42a12ae3001a07244abad2bp-160L },
{ -0x2.9p+4L, 0xb.2f30e1ce812063f12e7e8d8d96e8p-168L },
{ -0x2.9p+4L, -0xb.2f30e1ce812063f12e7e8d8d96e8p-168L },
{ -0x2.ap+4L, 0x4.42bd49d4c37a0db136489772e428p-172L },
{ -0x2.ap+4L, -0x4.42bd49d4c37a0db136489772e428p-172L },
{ -0x2.bp+4L, 0x1.95db45257e5122dcbae56def372p-176L },
{ -0x2.bp+4L, -0x1.95db45257e5122dcbae56def372p-176L },
{ -0x2.cp+4L, 0x9.3958d81ff63527ecf993f3fb6f48p-184L },
{ -0x2.cp+4L, -0x9.3958d81ff63527ecf993f3fb6f48p-184L },
{ -0x2.dp+4L, 0x3.47970e4440c8f1c058bd238c9958p-188L },
{ -0x2.dp+4L, -0x3.47970e4440c8f1c058bd238c9958p-188L },
{ -0x2.ep+4L, 0x1.240804f65951062ca46e4f25c608p-192L },
{ -0x2.ep+4L, -0x1.240804f65951062ca46e4f25c608p-192L },
{ -0x2.fp+4L, 0x6.36a382849fae6de2d15362d8a394p-200L },
{ -0x2.fp+4L, -0x6.36a382849fae6de2d15362d8a394p-200L },
{ -0x3p+4L, 0x2.123680d6dfe4cf4b9b1bcb9d8bdcp-204L },
{ -0x3p+4L, -0x2.123680d6dfe4cf4b9b1bcb9d8bdcp-204L },
{ -0x3.1p+4L, 0xa.d21786ff5842eca51fea0870919p-212L },
{ -0x3.1p+4L, -0xa.d21786ff5842eca51fea0870919p-212L },
{ -0x3.2p+4L, 0x3.766dedc259af040be140a68a6c04p-216L },
{ L(-0x2.74ff92c01f0d82abec9f315f1a08p+0), L(0xe.d3ccb7fb2658634a2b9f6b2ba81p-116) },
{ L(-0x2.bf6821437b20197995a4b4641eaep+0), L(-0xb.f4b00b4829f961e428533e6ad048p-116) },
{ L(-0x3.24c1b793cb35efb8be699ad3d9bap+0), L(-0x6.5454cb7fac60e3f16d9d7840c2ep-116) },
{ L(-0x3.f48e2a8f85fca170d4561291236cp+0), L(-0xc.320a4887d1cb4c711828a75d5758p-116) },
{ L(-0x4.0a139e16656030c39f0b0de18114p+0), L(0x1.53e84029416e1242006b2b3d1cfp-112) },
{ L(-0x4.fdd5de9bbabf3510d0aa40769884p+0), L(-0x1.01d7d78125286f78d1e501f14966p-112) },
{ L(-0x5.021a95fc2db6432a4c56e595394cp+0), L(-0x1.ecc6af0430d4fe5746fa7233356fp-112) },
{ L(-0x5.ffa4bd647d0357dd4ed62cbd31ecp+0), L(-0x1.f8e3f8e5deba2d67dbd70dd96ce1p-112) },
{ L(-0x6.005ac9625f233b607c2d96d16384p+0), L(-0x1.cb86ac569340cf1e5f24df7aab7bp-112) },
{ L(-0x6.fff2fddae1bbff3d626b65c23fd4p+0), L(0x1.e0bfcff5c457ebcf4d3ad9674167p-112) },
{ L(-0x7.000cff7b7f87adf4482dcdb98784p+0), L(0x1.54d99e35a74d6407b80292df199fp-112) },
{ L(-0x7.fffe5fe05673c3ca9e82b522b0ccp+0), L(0x1.62d177c832e0eb42c2faffd1b145p-112) },
{ L(-0x8.0001a01459fc9f60cb3cec1cec88p+0), L(0x2.8998835ac7277f7bcef67c47f188p-112) },
{ L(-0x8.ffffd1c425e80ffc864e95749258p+0), L(-0x1.e7e20210e7f81cf781b44e9d2b02p-112) },
{ L(-0x9.00002e3bb47d86d6d843fedc352p+0), L(0x2.14852f613a16291751d2ab751f7ep-112) },
{ L(-0x9.fffffb606bdfdcd062ae77a50548p+0), L(0x3.962d1490cc2e8f031c7007eaa1ap-116) },
{ L(-0xa.0000049f93bb9927b45d95e1544p+0), L(-0x1.e03086db9146a9287bd4f2172d5ap-112) },
{ L(-0xa.ffffff9466e9f1b36dacd2adbd18p+0), L(-0xd.05a4e458062f3f95345a4d9c9b6p-116) },
{ L(-0xb.0000006b9915315d965a6ffea41p+0), L(0x1.b415c6fff233e7b7fdc3a094246fp-112) },
{ L(-0xb.fffffff7089387387de41acc3d4p+0), L(0x3.687427c6373bd74a10306e10a28ep-112) },
{ L(-0xc.00000008f76c7731567c0f0250fp+0), L(-0x3.87920df5675833859190eb128ef6p-112) },
{ L(-0xc.ffffffff4f6dcf617f97a5ffc758p+0), L(0x2.ab72d76f32eaee2d1a42ed515d3ap-116) },
{ L(-0xd.00000000b092309c06683dd1b9p+0), L(-0x3.e3700857a15c19ac5a611de9688ap-112) },
{ L(-0xd.fffffffff36345ab9e184a3e09dp+0), L(-0x1.176dc48e47f62d917973dd44e553p-112) },
{ L(-0xe.000000000c9cba545e94e75ec57p+0), L(-0x1.8f753e2501e757a17cf2ecbeeb89p-112) },
{ L(-0xe.ffffffffff28c060c6604ef3037p+0), L(-0x1.f89d37357c9e3dc17c6c6e63becap-112) },
{ L(-0xf.0000000000d73f9f399bd0e420f8p+0), L(-0x5.e9ee31b0b890744fc0e3fbc01048p-116) },
{ L(-0xf.fffffffffff28c060c6621f512e8p+0), L(0xd.1b2eec9d960bd9adc5be5f5fa5p-116) },
{ L(-0x1.000000000000d73f9f399da1424cp+4), L(0x6.c46e0e88305d2800f0e414c506a8p-116) },
{ L(-0x1.0ffffffffffff3569c47e7a93e1cp+4), L(-0x4.6a08a2e008a998ebabb8087efa2cp-112) },
{ L(-0x1.1000000000000ca963b818568887p+4), L(-0x6.ca5a3a64ec15db0a95caf2c9ffb4p-112) },
{ L(-0x1.1fffffffffffff4bec3ce234132dp+4), L(-0x8.b2b726187c841cb92cd5221e444p-116) },
{ L(-0x1.20000000000000b413c31dcbeca5p+4), L(0x3.c4d005344b6cd0e7231120294abcp-112) },
{ L(-0x1.2ffffffffffffff685b25cbf5f54p+4), L(-0x5.ced932e38485f7dd296b8fa41448p-112) },
{ L(-0x1.30000000000000097a4da340a0acp+4), L(0x7.e484e0e0ffe38d406ebebe112f88p-112) },
{ L(-0x1.3fffffffffffffff86af516ff7f7p+4), L(-0x6.bd67e720d57854502b7db75e1718p-112) },
{ L(-0x1.40000000000000007950ae900809p+4), L(0x6.bec33375cac025d9c073168c5d9p-112) },
{ L(-0x1.4ffffffffffffffffa391c4248c3p+4), L(0x5.c63022b62b5484ba346524db607p-112) },
{ L(-0x1.500000000000000005c6e3bdb73dp+4), L(-0x5.c62f55ed5322b2685c5e9a51e6a8p-112) },
{ L(-0x1.5fffffffffffffffffbcc71a492p+4), L(-0x1.eb5aeb96c74d7ad25e060528fb5p-112) },
{ L(-0x1.6000000000000000004338e5b6ep+4), L(0x1.eb5aec04b2f2eb663e4e3d8a018cp-112) },
{ L(-0x1.6ffffffffffffffffffd13c97d9dp+4), L(-0x3.8fcc4d08d6fe5aa56ab04307ce7ep-112) },
{ L(-0x1.70000000000000000002ec368263p+4), L(0x3.8fcc4d090cee2f5d0b69a99c353cp-112) },
{ L(-0x1.7fffffffffffffffffffe0d30fe7p+4), L(0x7.2f577cca4b4c8cb1dc14001ac5ecp-112) },
{ L(-0x1.800000000000000000001f2cf019p+4), L(-0x7.2f577cca4b3442e35f0040b3b9e8p-112) },
{ L(-0x1.8ffffffffffffffffffffec0c332p+4), L(-0x2.e9a0572b1bb5b95f346a92d67a6p-112) },
{ L(-0x1.90000000000000000000013f3ccep+4), L(0x2.e9a0572b1bb5c371ddb3561705ap-112) },
{ L(-0x1.9ffffffffffffffffffffff3b8bdp+4), L(-0x1.cad8d32e386fd783e97296d63dcbp-116) },
{ L(-0x1.a0000000000000000000000c4743p+4), L(0x1.cad8d32e386fd7c1ab8c1fe34c0ep-116) },
{ L(-0x1.afffffffffffffffffffffff8b95p+4), L(-0x3.8f48cc5737d5979c39db806c5406p-112) },
{ L(-0x1.b00000000000000000000000746bp+4), L(0x3.8f48cc5737d5979c3b3a6bda06f6p-112) },
{ L(-0x1.bffffffffffffffffffffffffbd8p+4), L(0x6.2898d42174dcf171470d8c8c6028p-112) },
{ L(-0x1.c000000000000000000000000428p+4), L(-0x6.2898d42174dcf171470d18ba412cp-112) },
{ L(-0x1.cfffffffffffffffffffffffffdbp+4), L(-0x4.c0ce9794ea50a839e311320bde94p-112) },
{ L(-0x1.d000000000000000000000000025p+4), L(0x4.c0ce9794ea50a839e311322f7cf8p-112) },
{ L(-0x1.dfffffffffffffffffffffffffffp+4), L(0x3.932c5047d60e60caded4c298a174p-112) },
{ L(-0x1.e000000000000000000000000001p+4), L(-0x3.932c5047d60e60caded4c298973ap-112) },
{ L(-0x1.fp+4), L(0xa.1a6973c1fade2170f7237d35fe3p-116) },
{ L(-0x1.fp+4), L(-0xa.1a6973c1fade2170f7237d35fe08p-116) },
{ L(-0x2p+4), L(0x5.0d34b9e0fd6f10b87b91be9aff1p-120) },
{ L(-0x2p+4), L(-0x5.0d34b9e0fd6f10b87b91be9aff0cp-120) },
{ L(-0x2.1p+4), L(0x2.73024a9ba1aa36a7059bff52e844p-124) },
{ L(-0x2.1p+4), L(-0x2.73024a9ba1aa36a7059bff52e844p-124) },
{ L(-0x2.2p+4), L(0x1.2710231c0fd7a13f8a2b4af9d6b7p-128) },
{ L(-0x2.2p+4), L(-0x1.2710231c0fd7a13f8a2b4af9d6b7p-128) },
{ L(-0x2.3p+4), L(0x8.6e2ce38b6c8f9419e3fad3f0312p-136) },
{ L(-0x2.3p+4), L(-0x8.6e2ce38b6c8f9419e3fad3f0312p-136) },
{ L(-0x2.4p+4), L(0x3.bf30652185952560d71a254e4eb8p-140) },
{ L(-0x2.4p+4), L(-0x3.bf30652185952560d71a254e4eb8p-140) },
{ L(-0x2.5p+4), L(0x1.9ec8d1c94e85af4c78b15c3d89d3p-144) },
{ L(-0x2.5p+4), L(-0x1.9ec8d1c94e85af4c78b15c3d89d3p-144) },
{ L(-0x2.6p+4), L(0xa.ea565ce061d57489e9b85276274p-152) },
{ L(-0x2.6p+4), L(-0xa.ea565ce061d57489e9b85276274p-152) },
{ L(-0x2.7p+4), L(0x4.7a6512692eb37804111dabad30ecp-156) },
{ L(-0x2.7p+4), L(-0x4.7a6512692eb37804111dabad30ecp-156) },
{ L(-0x2.8p+4), L(0x1.ca8ed42a12ae3001a07244abad2bp-160) },
{ L(-0x2.8p+4), L(-0x1.ca8ed42a12ae3001a07244abad2bp-160) },
{ L(-0x2.9p+4), L(0xb.2f30e1ce812063f12e7e8d8d96e8p-168) },
{ L(-0x2.9p+4), L(-0xb.2f30e1ce812063f12e7e8d8d96e8p-168) },
{ L(-0x2.ap+4), L(0x4.42bd49d4c37a0db136489772e428p-172) },
{ L(-0x2.ap+4), L(-0x4.42bd49d4c37a0db136489772e428p-172) },
{ L(-0x2.bp+4), L(0x1.95db45257e5122dcbae56def372p-176) },
{ L(-0x2.bp+4), L(-0x1.95db45257e5122dcbae56def372p-176) },
{ L(-0x2.cp+4), L(0x9.3958d81ff63527ecf993f3fb6f48p-184) },
{ L(-0x2.cp+4), L(-0x9.3958d81ff63527ecf993f3fb6f48p-184) },
{ L(-0x2.dp+4), L(0x3.47970e4440c8f1c058bd238c9958p-188) },
{ L(-0x2.dp+4), L(-0x3.47970e4440c8f1c058bd238c9958p-188) },
{ L(-0x2.ep+4), L(0x1.240804f65951062ca46e4f25c608p-192) },
{ L(-0x2.ep+4), L(-0x1.240804f65951062ca46e4f25c608p-192) },
{ L(-0x2.fp+4), L(0x6.36a382849fae6de2d15362d8a394p-200) },
{ L(-0x2.fp+4), L(-0x6.36a382849fae6de2d15362d8a394p-200) },
{ L(-0x3p+4), L(0x2.123680d6dfe4cf4b9b1bcb9d8bdcp-204) },
{ L(-0x3p+4), L(-0x2.123680d6dfe4cf4b9b1bcb9d8bdcp-204) },
{ L(-0x3.1p+4), L(0xa.d21786ff5842eca51fea0870919p-212) },
{ L(-0x3.1p+4), L(-0xa.d21786ff5842eca51fea0870919p-212) },
{ L(-0x3.2p+4), L(0x3.766dedc259af040be140a68a6c04p-216) },
};
static const _Float128 e_hi = 0x2.b7e151628aed2a6abf7158809cf4p+0L;
static const _Float128 e_lo = 0xf.3c762e7160f38b4da56a784d9048p-116L;
static const _Float128 e_hi = L(0x2.b7e151628aed2a6abf7158809cf4p+0);
static const _Float128 e_lo = L(0xf.3c762e7160f38b4da56a784d9048p-116);
/* Coefficients B_2k / 2k(2k-1) of x^-(2k-1) in Stirling's
@ -129,33 +129,33 @@ static const _Float128 e_lo = 0xf.3c762e7160f38b4da56a784d9048p-116L;
static const _Float128 lgamma_coeff[] =
{
0x1.5555555555555555555555555555p-4L,
-0xb.60b60b60b60b60b60b60b60b60b8p-12L,
0x3.4034034034034034034034034034p-12L,
-0x2.7027027027027027027027027028p-12L,
0x3.72a3c5631fe46ae1d4e700dca8f2p-12L,
-0x7.daac36664f1f207daac36664f1f4p-12L,
0x1.a41a41a41a41a41a41a41a41a41ap-8L,
-0x7.90a1b2c3d4e5f708192a3b4c5d7p-8L,
0x2.dfd2c703c0cfff430edfd2c703cp-4L,
-0x1.6476701181f39edbdb9ce625987dp+0L,
0xd.672219167002d3a7a9c886459cp+0L,
-0x9.cd9292e6660d55b3f712eb9e07c8p+4L,
0x8.911a740da740da740da740da741p+8L,
-0x8.d0cc570e255bf59ff6eec24b49p+12L,
0xa.8d1044d3708d1c219ee4fdc446ap+16L,
-0xe.8844d8a169abbc406169abbc406p+20L,
0x1.6d29a0f6433b79890cede62433b8p+28L,
-0x2.88a233b3c8cddaba9809357125d8p+32L,
0x5.0dde6f27500939a85c40939a85c4p+36L,
-0xb.4005bde03d4642a243581714af68p+40L,
0x1.bc8cd6f8f1f755c78753cdb5d5c9p+48L,
-0x4.bbebb143bb94de5a0284fa7ec424p+52L,
0xe.2e1337f5af0bed90b6b0a352d4fp+56L,
-0x2.e78250162b62405ad3e4bfe61b38p+64L,
0xa.5f7eef9e71ac7c80326ab4cc8bfp+68L,
-0x2.83be0395e550213369924971b21ap+76L,
0xa.8ebfe48da17dd999790760b0cep+80L,
L(0x1.5555555555555555555555555555p-4),
L(-0xb.60b60b60b60b60b60b60b60b60b8p-12),
L(0x3.4034034034034034034034034034p-12),
L(-0x2.7027027027027027027027027028p-12),
L(0x3.72a3c5631fe46ae1d4e700dca8f2p-12),
L(-0x7.daac36664f1f207daac36664f1f4p-12),
L(0x1.a41a41a41a41a41a41a41a41a41ap-8),
L(-0x7.90a1b2c3d4e5f708192a3b4c5d7p-8),
L(0x2.dfd2c703c0cfff430edfd2c703cp-4),
L(-0x1.6476701181f39edbdb9ce625987dp+0),
L(0xd.672219167002d3a7a9c886459cp+0),
L(-0x9.cd9292e6660d55b3f712eb9e07c8p+4),
L(0x8.911a740da740da740da740da741p+8),
L(-0x8.d0cc570e255bf59ff6eec24b49p+12),
L(0xa.8d1044d3708d1c219ee4fdc446ap+16),
L(-0xe.8844d8a169abbc406169abbc406p+20),
L(0x1.6d29a0f6433b79890cede62433b8p+28),
L(-0x2.88a233b3c8cddaba9809357125d8p+32),
L(0x5.0dde6f27500939a85c40939a85c4p+36),
L(-0xb.4005bde03d4642a243581714af68p+40),
L(0x1.bc8cd6f8f1f755c78753cdb5d5c9p+48),
L(-0x4.bbebb143bb94de5a0284fa7ec424p+52),
L(0xe.2e1337f5af0bed90b6b0a352d4fp+56),
L(-0x2.e78250162b62405ad3e4bfe61b38p+64),
L(0xa.5f7eef9e71ac7c80326ab4cc8bfp+68),
L(-0x2.83be0395e550213369924971b21ap+76),
L(0xa.8ebfe48da17dd999790760b0cep+80),
};
#define NCOEFF (sizeof (lgamma_coeff) / sizeof (lgamma_coeff[0]))
@ -169,221 +169,221 @@ static const _Float128 lgamma_coeff[] =
static const _Float128 poly_coeff[] =
{
/* Interval [-2.125, -2] (polynomial degree 23). */
-0x1.0b71c5c54d42eb6c17f30b7aa8f5p+0L,
-0xc.73a1dc05f34951602554c6d7506p-4L,
-0x1.ec841408528b51473e6c425ee5ffp-4L,
-0xe.37c9da26fc3c9a3c1844c8c7f1cp-4L,
-0x1.03cd87c519305703b021fa33f827p-4L,
-0xe.ae9ada65e09aa7f1c75216128f58p-4L,
0x9.b11855a4864b5731cf85736015a8p-8L,
-0xe.f28c133e697a95c28607c9701dep-4L,
0x2.6ec14a1c586a72a7cc33ee569d6ap-4L,
-0xf.57cab973e14464a262fc24723c38p-4L,
0x4.5b0fc25f16e52997b2886bbae808p-4L,
-0xf.f50e59f1a9b56e76e988dac9ccf8p-4L,
0x6.5f5eae15e9a93369e1d85146c6fcp-4L,
-0x1.0d2422daac459e33e0994325ed23p+0L,
0x8.82000a0e7401fb1117a0e6606928p-4L,
-0x1.1f492f178a3f1b19f58a2ca68e55p+0L,
0xa.cb545f949899a04c160b19389abp-4L,
-0x1.36165a1b155ba3db3d1b77caf498p+0L,
0xd.44c5d5576f74302e5cf79e183eep-4L,
-0x1.51f22e0cdd33d3d481e326c02f3ep+0L,
0xf.f73a349c08244ac389c007779bfp-4L,
-0x1.73317bf626156ba716747c4ca866p+0L,
0x1.379c3c97b9bc71e1c1c4802dd657p+0L,
-0x1.a72a351c54f902d483052000f5dfp+0L,
L(-0x1.0b71c5c54d42eb6c17f30b7aa8f5p+0),
L(-0xc.73a1dc05f34951602554c6d7506p-4),
L(-0x1.ec841408528b51473e6c425ee5ffp-4),
L(-0xe.37c9da26fc3c9a3c1844c8c7f1cp-4),
L(-0x1.03cd87c519305703b021fa33f827p-4),
L(-0xe.ae9ada65e09aa7f1c75216128f58p-4),
L(0x9.b11855a4864b5731cf85736015a8p-8),
L(-0xe.f28c133e697a95c28607c9701dep-4),
L(0x2.6ec14a1c586a72a7cc33ee569d6ap-4),
L(-0xf.57cab973e14464a262fc24723c38p-4),
L(0x4.5b0fc25f16e52997b2886bbae808p-4),
L(-0xf.f50e59f1a9b56e76e988dac9ccf8p-4),
L(0x6.5f5eae15e9a93369e1d85146c6fcp-4),
L(-0x1.0d2422daac459e33e0994325ed23p+0),
L(0x8.82000a0e7401fb1117a0e6606928p-4),
L(-0x1.1f492f178a3f1b19f58a2ca68e55p+0),
L(0xa.cb545f949899a04c160b19389abp-4),
L(-0x1.36165a1b155ba3db3d1b77caf498p+0),
L(0xd.44c5d5576f74302e5cf79e183eep-4),
L(-0x1.51f22e0cdd33d3d481e326c02f3ep+0),
L(0xf.f73a349c08244ac389c007779bfp-4),
L(-0x1.73317bf626156ba716747c4ca866p+0),
L(0x1.379c3c97b9bc71e1c1c4802dd657p+0),
L(-0x1.a72a351c54f902d483052000f5dfp+0),
/* Interval [-2.25, -2.125] (polynomial degree 24). */
-0xf.2930890d7d675a80c36afb0fd5e8p-4L,
-0xc.a5cfde054eab5c6770daeca577f8p-4L,
0x3.9c9e0fdebb07cdf89c61d41c9238p-4L,
-0x1.02a5ad35605fcf4af65a6dbacb84p+0L,
0x9.6e9b1185bb48be9de1918e00a2e8p-4L,
-0x1.4d8332f3cfbfa116fd611e9ce90dp+0L,
0x1.1c0c8cb4d9f4b1d490e1a41fae4dp+0L,
-0x1.c9a6f5ae9130cd0299e293a42714p+0L,
0x1.d7e9307fd58a2ea997f29573a112p+0L,
-0x2.921cb3473d96178ca2a11d2a8d46p+0L,
0x2.e8d59113b6f3409ff8db226e9988p+0L,
-0x3.cbab931625a1ae2b26756817f264p+0L,
0x4.7d9f0f05d5296d18663ca003912p+0L,
-0x5.ade9cba12a14ea485667b7135bbp+0L,
0x6.dc983a5da74fb48e767b7fec0a3p+0L,
-0x8.8d9ed454ae31d9e138dd8ee0d1a8p+0L,
0xa.6fa099d4e7c202e0c0fd6ed8492p+0L,
-0xc.ebc552a8090a0f0115e92d4ebbc8p+0L,
0xf.d695e4772c0d829b53fba9ca5568p+0L,
-0x1.38c32ae38e5e9eb79b2a4c5570a9p+4L,
0x1.8035145646cfab49306d0999a51bp+4L,
-0x1.d930adbb03dd342a4c2a8c4e1af6p+4L,
0x2.45c2edb1b4943ddb3686cd9c6524p+4L,
-0x2.e818ebbfafe2f916fa21abf7756p+4L,
0x3.9804ce51d0fb9a430a711fd7307p+4L,
L(-0xf.2930890d7d675a80c36afb0fd5e8p-4),
L(-0xc.a5cfde054eab5c6770daeca577f8p-4),
L(0x3.9c9e0fdebb07cdf89c61d41c9238p-4),
L(-0x1.02a5ad35605fcf4af65a6dbacb84p+0),
L(0x9.6e9b1185bb48be9de1918e00a2e8p-4),
L(-0x1.4d8332f3cfbfa116fd611e9ce90dp+0),
L(0x1.1c0c8cb4d9f4b1d490e1a41fae4dp+0),
L(-0x1.c9a6f5ae9130cd0299e293a42714p+0),
L(0x1.d7e9307fd58a2ea997f29573a112p+0),
L(-0x2.921cb3473d96178ca2a11d2a8d46p+0),
L(0x2.e8d59113b6f3409ff8db226e9988p+0),
L(-0x3.cbab931625a1ae2b26756817f264p+0),
L(0x4.7d9f0f05d5296d18663ca003912p+0),
L(-0x5.ade9cba12a14ea485667b7135bbp+0),
L(0x6.dc983a5da74fb48e767b7fec0a3p+0),
L(-0x8.8d9ed454ae31d9e138dd8ee0d1a8p+0),
L(0xa.6fa099d4e7c202e0c0fd6ed8492p+0),
L(-0xc.ebc552a8090a0f0115e92d4ebbc8p+0),
L(0xf.d695e4772c0d829b53fba9ca5568p+0),
L(-0x1.38c32ae38e5e9eb79b2a4c5570a9p+4),
L(0x1.8035145646cfab49306d0999a51bp+4),
L(-0x1.d930adbb03dd342a4c2a8c4e1af6p+4),
L(0x2.45c2edb1b4943ddb3686cd9c6524p+4),
L(-0x2.e818ebbfafe2f916fa21abf7756p+4),
L(0x3.9804ce51d0fb9a430a711fd7307p+4),
/* Interval [-2.375, -2.25] (polynomial degree 25). */
-0xd.7d28d505d6181218a25f31d5e45p-4L,
-0xe.69649a3040985140cdf946829fap-4L,
0xb.0d74a2827d053a8d44595012484p-4L,
-0x1.924b0922853617cac181afbc08ddp+0L,
0x1.d49b12bccf0a568582e2d3c410f3p+0L,
-0x3.0898bb7d8c4093e636279c791244p+0L,
0x4.207a6cac711cb53868e8a5057eep+0L,
-0x6.39ee63ea4fb1dcab0c9144bf3ddcp+0L,
0x8.e2e2556a797b649bf3f53bd26718p+0L,
-0xd.0e83ac82552ef12af508589e7a8p+0L,
0x1.2e4525e0ce6670563c6484a82b05p+4L,
-0x1.b8e350d6a8f2b222fa390a57c23dp+4L,
0x2.805cd69b919087d8a80295892c2cp+4L,
-0x3.a42585424a1b7e64c71743ab014p+4L,
0x5.4b4f409f98de49f7bfb03c05f984p+4L,
-0x7.b3c5827fbe934bc820d6832fb9fcp+4L,
0xb.33b7b90cc96c425526e0d0866e7p+4L,
-0x1.04b77047ac4f59ee3775ca10df0dp+8L,
0x1.7b366f5e94a34f41386eac086313p+8L,
-0x2.2797338429385c9849ca6355bfc2p+8L,
0x3.225273cf92a27c9aac1b35511256p+8L,
-0x4.8f078aa48afe6cb3a4e89690f898p+8L,
0x6.9f311d7b6654fc1d0b5195141d04p+8L,
-0x9.a0c297b6b4621619ca9bacc48ed8p+8L,
0xe.ce1f06b6f90d92138232a76e4cap+8L,
-0x1.5b0e6806fa064daf011613e43b17p+12L,
L(-0xd.7d28d505d6181218a25f31d5e45p-4),
L(-0xe.69649a3040985140cdf946829fap-4),
L(0xb.0d74a2827d053a8d44595012484p-4),
L(-0x1.924b0922853617cac181afbc08ddp+0),
L(0x1.d49b12bccf0a568582e2d3c410f3p+0),
L(-0x3.0898bb7d8c4093e636279c791244p+0),
L(0x4.207a6cac711cb53868e8a5057eep+0),
L(-0x6.39ee63ea4fb1dcab0c9144bf3ddcp+0),
L(0x8.e2e2556a797b649bf3f53bd26718p+0),
L(-0xd.0e83ac82552ef12af508589e7a8p+0),
L(0x1.2e4525e0ce6670563c6484a82b05p+4),
L(-0x1.b8e350d6a8f2b222fa390a57c23dp+4),
L(0x2.805cd69b919087d8a80295892c2cp+4),
L(-0x3.a42585424a1b7e64c71743ab014p+4),
L(0x5.4b4f409f98de49f7bfb03c05f984p+4),
L(-0x7.b3c5827fbe934bc820d6832fb9fcp+4),
L(0xb.33b7b90cc96c425526e0d0866e7p+4),
L(-0x1.04b77047ac4f59ee3775ca10df0dp+8),
L(0x1.7b366f5e94a34f41386eac086313p+8),
L(-0x2.2797338429385c9849ca6355bfc2p+8),
L(0x3.225273cf92a27c9aac1b35511256p+8),
L(-0x4.8f078aa48afe6cb3a4e89690f898p+8),
L(0x6.9f311d7b6654fc1d0b5195141d04p+8),
L(-0x9.a0c297b6b4621619ca9bacc48ed8p+8),
L(0xe.ce1f06b6f90d92138232a76e4cap+8),
L(-0x1.5b0e6806fa064daf011613e43b17p+12),
/* Interval [-2.5, -2.375] (polynomial degree 27). */
-0xb.74ea1bcfff94b2c01afba9daa7d8p-4L,
-0x1.2a82bd590c37538cab143308de4dp+0L,
0x1.88020f828b966fec66b8649fd6fcp+0L,
-0x3.32279f040eb694970e9db24863dcp+0L,
0x5.57ac82517767e68a721005853864p+0L,
-0x9.c2aedcfe22833de43834a0a6cc4p+0L,
0x1.12c132f1f5577f99e1a0ed3538e1p+4L,
-0x1.ea94e26628a3de3597f7bb55a948p+4L,
0x3.66b4ac4fa582f58b59f96b2f7c7p+4L,
-0x6.0cf746a9cf4cba8c39afcc73fc84p+4L,
0xa.c102ef2c20d75a342197df7fedf8p+4L,
-0x1.31ebff06e8f14626782df58db3b6p+8L,
0x2.1fd6f0c0e710994e059b9dbdb1fep+8L,
-0x3.c6d76040407f447f8b5074f07706p+8L,
0x6.b6d18e0d8feb4c2ef5af6a40ed18p+8L,
-0xb.efaf542c529f91e34217f24ae6a8p+8L,
0x1.53852d873210e7070f5d9eb2296p+12L,
-0x2.5b977c0ddc6d540717173ac29fc8p+12L,
0x4.310d452ae05100eff1e02343a724p+12L,
-0x7.73a5d8f20c4f986a7dd1912b2968p+12L,
0xd.3f5ea2484f3fca15eab1f4d1a218p+12L,
-0x1.78d18aac156d1d93a2ffe7e08d3fp+16L,
0x2.9df49ca75e5b567f5ea3e47106cp+16L,
-0x4.a7149af8961a08aa7c3233b5bb94p+16L,
0x8.3db10ffa742c707c25197d989798p+16L,
-0xe.a26d6dd023cadd02041a049ec368p+16L,
0x1.c825d90514e7c57c7fa5316f947cp+20L,
-0x3.34bb81e5a0952df8ca1abdc6684cp+20L,
L(-0xb.74ea1bcfff94b2c01afba9daa7d8p-4),
L(-0x1.2a82bd590c37538cab143308de4dp+0),
L(0x1.88020f828b966fec66b8649fd6fcp+0),
L(-0x3.32279f040eb694970e9db24863dcp+0),
L(0x5.57ac82517767e68a721005853864p+0),
L(-0x9.c2aedcfe22833de43834a0a6cc4p+0),
L(0x1.12c132f1f5577f99e1a0ed3538e1p+4),
L(-0x1.ea94e26628a3de3597f7bb55a948p+4),
L(0x3.66b4ac4fa582f58b59f96b2f7c7p+4),
L(-0x6.0cf746a9cf4cba8c39afcc73fc84p+4),
L(0xa.c102ef2c20d75a342197df7fedf8p+4),
L(-0x1.31ebff06e8f14626782df58db3b6p+8),
L(0x2.1fd6f0c0e710994e059b9dbdb1fep+8),
L(-0x3.c6d76040407f447f8b5074f07706p+8),
L(0x6.b6d18e0d8feb4c2ef5af6a40ed18p+8),
L(-0xb.efaf542c529f91e34217f24ae6a8p+8),
L(0x1.53852d873210e7070f5d9eb2296p+12),
L(-0x2.5b977c0ddc6d540717173ac29fc8p+12),
L(0x4.310d452ae05100eff1e02343a724p+12),
L(-0x7.73a5d8f20c4f986a7dd1912b2968p+12),
L(0xd.3f5ea2484f3fca15eab1f4d1a218p+12),
L(-0x1.78d18aac156d1d93a2ffe7e08d3fp+16),
L(0x2.9df49ca75e5b567f5ea3e47106cp+16),
L(-0x4.a7149af8961a08aa7c3233b5bb94p+16),
L(0x8.3db10ffa742c707c25197d989798p+16),
L(-0xe.a26d6dd023cadd02041a049ec368p+16),
L(0x1.c825d90514e7c57c7fa5316f947cp+20),
L(-0x3.34bb81e5a0952df8ca1abdc6684cp+20),
/* Interval [-2.625, -2.5] (polynomial degree 28). */
-0x3.d10108c27ebafad533c20eac32bp-4L,
0x1.cd557caff7d2b2085f41dbec5106p+0L,
0x3.819b4856d399520dad9776ea2cacp+0L,
0x6.8505cbad03dc34c5e42e8b12eb78p+0L,
0xb.c1b2e653a9e38f82b399c94e7f08p+0L,
0x1.50a53a38f148138105124df65419p+4L,
0x2.57ae00cbe5232cbeeed34d89727ap+4L,
0x4.2b156301b8604db85a601544bfp+4L,
0x7.6989ed23ca3ca7579b3462592b5cp+4L,
0xd.2dd2976557939517f831f5552cc8p+4L,
0x1.76e1c3430eb860969bce40cd494p+8L,
0x2.9a77bf5488742466db3a2c7c1ec6p+8L,
0x4.a0d62ed7266e8eb36f725a8ebcep+8L,
0x8.3a6184dd3021067df2f8b91e99c8p+8L,
0xe.a0ade1538245bf55d39d7e436b1p+8L,
0x1.a01359fae8617b5826dd74428e9p+12L,
0x2.e3b0a32caae77251169acaca1ad4p+12L,
0x5.2301257c81589f62b38fb5993ee8p+12L,
0x9.21c9275db253d4e719b73b18cb9p+12L,
0x1.03c104bc96141cda3f3fa4b112bcp+16L,
0x1.cdc8ed65119196a08b0c78f1445p+16L,
0x3.34f31d2eaacf34382cdb0073572ap+16L,
0x5.b37628cadf12bf0000907d0ef294p+16L,
0xa.22d8b332c0b1e6a616f425dfe5ap+16L,
0x1.205b01444804c3ff922cd78b4c42p+20L,
0x1.fe8f0cea9d1e0ff25be2470b4318p+20L,
0x3.8872aebeb368399aee02b39340aep+20L,
0x6.ebd560d351e84e26a4381f5b293cp+20L,
0xc.c3644d094b0dae2fbcbf682cd428p+20L,
L(-0x3.d10108c27ebafad533c20eac32bp-4),
L(0x1.cd557caff7d2b2085f41dbec5106p+0),
L(0x3.819b4856d399520dad9776ea2cacp+0),
L(0x6.8505cbad03dc34c5e42e8b12eb78p+0),
L(0xb.c1b2e653a9e38f82b399c94e7f08p+0),
L(0x1.50a53a38f148138105124df65419p+4),
L(0x2.57ae00cbe5232cbeeed34d89727ap+4),
L(0x4.2b156301b8604db85a601544bfp+4),
L(0x7.6989ed23ca3ca7579b3462592b5cp+4),
L(0xd.2dd2976557939517f831f5552cc8p+4),
L(0x1.76e1c3430eb860969bce40cd494p+8),
L(0x2.9a77bf5488742466db3a2c7c1ec6p+8),
L(0x4.a0d62ed7266e8eb36f725a8ebcep+8),
L(0x8.3a6184dd3021067df2f8b91e99c8p+8),
L(0xe.a0ade1538245bf55d39d7e436b1p+8),
L(0x1.a01359fae8617b5826dd74428e9p+12),
L(0x2.e3b0a32caae77251169acaca1ad4p+12),
L(0x5.2301257c81589f62b38fb5993ee8p+12),
L(0x9.21c9275db253d4e719b73b18cb9p+12),
L(0x1.03c104bc96141cda3f3fa4b112bcp+16),
L(0x1.cdc8ed65119196a08b0c78f1445p+16),
L(0x3.34f31d2eaacf34382cdb0073572ap+16),
L(0x5.b37628cadf12bf0000907d0ef294p+16),
L(0xa.22d8b332c0b1e6a616f425dfe5ap+16),
L(0x1.205b01444804c3ff922cd78b4c42p+20),
L(0x1.fe8f0cea9d1e0ff25be2470b4318p+20),
L(0x3.8872aebeb368399aee02b39340aep+20),
L(0x6.ebd560d351e84e26a4381f5b293cp+20),
L(0xc.c3644d094b0dae2fbcbf682cd428p+20),
/* Interval [-2.75, -2.625] (polynomial degree 26). */
-0x6.b5d252a56e8a75458a27ed1c2dd4p-4L,
0x1.28d60383da3ac721aed3c5794da9p+0L,
0x1.db6513ada8a66ea77d87d9a8827bp+0L,
0x2.e217118f9d348a27f7506a707e6ep+0L,
0x4.450112c5cbf725a0fb9802396c9p+0L,
0x6.4af99151eae7810a75df2a0303c4p+0L,
0x9.2db598b4a97a7f69aeef32aec758p+0L,
0xd.62bef9c22471f5ee47ea1b9c0b5p+0L,
0x1.379f294e412bd62328326d4222f9p+4L,
0x1.c5827349d8865f1e8825c37c31c6p+4L,
0x2.93a7e7a75b7568cc8cbe8c016c12p+4L,
0x3.bf9bb882afe57edb383d41879d3ap+4L,
0x5.73c737828cee095c43a5566731c8p+4L,
0x7.ee4653493a7f81e0442062b3823cp+4L,
0xb.891c6b83fc8b55bd973b5d962d6p+4L,
0x1.0c775d7de3bf9b246c0208e0207ep+8L,
0x1.867ee43ec4bd4f4fd56abc05110ap+8L,
0x2.37fe9ba6695821e9822d8c8af0a6p+8L,
0x3.3a2c667e37c942f182cd3223a936p+8L,
0x4.b1b500eb59f3f782c7ccec88754p+8L,
0x6.d3efd3b65b3d0d8488d30b79fa4cp+8L,
0x9.ee8224e65bed5ced8b75eaec609p+8L,
0xe.72416e510cca77d53fc615c1f3dp+8L,
0x1.4fb538b0a2dfe567a8904b7e0445p+12L,
0x1.e7f56a9266cf525a5b8cf4cb76cep+12L,
0x2.f0365c983f68c597ee49d099cce8p+12L,
0x4.53aa229e1b9f5b5e59625265951p+12L,
L(-0x6.b5d252a56e8a75458a27ed1c2dd4p-4),
L(0x1.28d60383da3ac721aed3c5794da9p+0),
L(0x1.db6513ada8a66ea77d87d9a8827bp+0),
L(0x2.e217118f9d348a27f7506a707e6ep+0),
L(0x4.450112c5cbf725a0fb9802396c9p+0),
L(0x6.4af99151eae7810a75df2a0303c4p+0),
L(0x9.2db598b4a97a7f69aeef32aec758p+0),
L(0xd.62bef9c22471f5ee47ea1b9c0b5p+0),
L(0x1.379f294e412bd62328326d4222f9p+4),
L(0x1.c5827349d8865f1e8825c37c31c6p+4),
L(0x2.93a7e7a75b7568cc8cbe8c016c12p+4),
L(0x3.bf9bb882afe57edb383d41879d3ap+4),
L(0x5.73c737828cee095c43a5566731c8p+4),
L(0x7.ee4653493a7f81e0442062b3823cp+4),
L(0xb.891c6b83fc8b55bd973b5d962d6p+4),
L(0x1.0c775d7de3bf9b246c0208e0207ep+8),
L(0x1.867ee43ec4bd4f4fd56abc05110ap+8),
L(0x2.37fe9ba6695821e9822d8c8af0a6p+8),
L(0x3.3a2c667e37c942f182cd3223a936p+8),
L(0x4.b1b500eb59f3f782c7ccec88754p+8),
L(0x6.d3efd3b65b3d0d8488d30b79fa4cp+8),
L(0x9.ee8224e65bed5ced8b75eaec609p+8),
L(0xe.72416e510cca77d53fc615c1f3dp+8),
L(0x1.4fb538b0a2dfe567a8904b7e0445p+12),
L(0x1.e7f56a9266cf525a5b8cf4cb76cep+12),
L(0x2.f0365c983f68c597ee49d099cce8p+12),
L(0x4.53aa229e1b9f5b5e59625265951p+12),
/* Interval [-2.875, -2.75] (polynomial degree 24). */
-0x8.a41b1e4f36ff88dc820815607d68p-4L,
0xc.da87d3b69dc0f2f9c6f368b8ca1p-4L,
0x1.1474ad5c36158a7bea04fd2f98c6p+0L,
0x1.761ecb90c555df6555b7dba955b6p+0L,
0x1.d279bff9ae291caf6c4b4bcb3202p+0L,
0x2.4e5d00559a6e2b9b5d7fe1f6689cp+0L,
0x2.d57545a75cee8743ae2b17bc8d24p+0L,
0x3.8514eee3aac88b89bec2307021bap+0L,
0x4.5235e3b6e1891ffeb87fed9f8a24p+0L,
0x5.562acdb10eef3c9a773b3e27a864p+0L,
0x6.8ec8965c76efe03c26bff60b1194p+0L,
0x8.15251aca144877af32658399f9b8p+0L,
0x9.f08d56aba174d844138af782c0f8p+0L,
0xc.3dbbeda2679e8a1346ccc3f6da88p+0L,
0xf.0f5bfd5eacc26db308ffa0556fa8p+0L,
0x1.28a6ccd84476fbc713d6bab49ac9p+4L,
0x1.6d0a3ae2a3b1c8ff400641a3a21fp+4L,
0x1.c15701b28637f87acfb6a91d33b5p+4L,
0x2.28fbe0eccf472089b017651ca55ep+4L,
0x2.a8a453004f6e8ffaacd1603bc3dp+4L,
0x3.45ae4d9e1e7cd1a5dba0e4ec7f6cp+4L,
0x4.065fbfacb7fad3e473cb577a61e8p+4L,
0x4.f3d1473020927acac1944734a39p+4L,
0x6.54bb091245815a36fb74e314dd18p+4L,
0x7.d7f445129f7fb6c055e582d3f6ep+4L,
L(-0x8.a41b1e4f36ff88dc820815607d68p-4),
L(0xc.da87d3b69dc0f2f9c6f368b8ca1p-4),
L(0x1.1474ad5c36158a7bea04fd2f98c6p+0),
L(0x1.761ecb90c555df6555b7dba955b6p+0),
L(0x1.d279bff9ae291caf6c4b4bcb3202p+0),
L(0x2.4e5d00559a6e2b9b5d7fe1f6689cp+0),
L(0x2.d57545a75cee8743ae2b17bc8d24p+0),
L(0x3.8514eee3aac88b89bec2307021bap+0),
L(0x4.5235e3b6e1891ffeb87fed9f8a24p+0),
L(0x5.562acdb10eef3c9a773b3e27a864p+0),
L(0x6.8ec8965c76efe03c26bff60b1194p+0),
L(0x8.15251aca144877af32658399f9b8p+0),
L(0x9.f08d56aba174d844138af782c0f8p+0),
L(0xc.3dbbeda2679e8a1346ccc3f6da88p+0),
L(0xf.0f5bfd5eacc26db308ffa0556fa8p+0),
L(0x1.28a6ccd84476fbc713d6bab49ac9p+4),
L(0x1.6d0a3ae2a3b1c8ff400641a3a21fp+4),
L(0x1.c15701b28637f87acfb6a91d33b5p+4),
L(0x2.28fbe0eccf472089b017651ca55ep+4),
L(0x2.a8a453004f6e8ffaacd1603bc3dp+4),
L(0x3.45ae4d9e1e7cd1a5dba0e4ec7f6cp+4),
L(0x4.065fbfacb7fad3e473cb577a61e8p+4),
L(0x4.f3d1473020927acac1944734a39p+4),
L(0x6.54bb091245815a36fb74e314dd18p+4),
L(0x7.d7f445129f7fb6c055e582d3f6ep+4),
/* Interval [-3, -2.875] (polynomial degree 23). */
-0xa.046d667e468f3e44dcae1afcc648p-4L,
0x9.70b88dcc006c214d8d996fdf5ccp-4L,
0xa.a8a39421c86d3ff24931a0929fp-4L,
0xd.2f4d1363f324da2b357c8b6ec94p-4L,
0xd.ca9aa1a3a5c00de11bf60499a97p-4L,
0xf.cf09c31eeb52a45dfa7ebe3778dp-4L,
0x1.04b133a39ed8a09691205660468bp+0L,
0x1.22b547a06edda944fcb12fd9b5ecp+0L,
0x1.2c57fce7db86a91df09602d344b3p+0L,
0x1.4aade4894708f84795212fe257eep+0L,
0x1.579c8b7b67ec4afed5b28c8bf787p+0L,
0x1.776820e7fc80ae5284239733078ap+0L,
0x1.883ab28c7301fde4ca6b8ec26ec8p+0L,
0x1.aa2ef6e1ae52eb42c9ee83b206e3p+0L,
0x1.bf4ad50f0a9a9311300cf0c51ee7p+0L,
0x1.e40206e0e96b1da463814dde0d09p+0L,
0x1.fdcbcffef3a21b29719c2bd9feb1p+0L,
0x2.25e2e8948939c4d42cf108fae4bep+0L,
0x2.44ce14d2b59c1c0e6bf2cfa81018p+0L,
0x2.70ee80bbd0387162be4861c43622p+0L,
0x2.954b64d2c2ebf3489b949c74476p+0L,
0x2.c616e133a811c1c9446105208656p+0L,
0x3.05a69dfe1a9ba1079f90fcf26bd4p+0L,
0x3.410d2ad16a0506de29736e6aafdap+0L,
L(-0xa.046d667e468f3e44dcae1afcc648p-4),
L(0x9.70b88dcc006c214d8d996fdf5ccp-4),
L(0xa.a8a39421c86d3ff24931a0929fp-4),
L(0xd.2f4d1363f324da2b357c8b6ec94p-4),
L(0xd.ca9aa1a3a5c00de11bf60499a97p-4),
L(0xf.cf09c31eeb52a45dfa7ebe3778dp-4),
L(0x1.04b133a39ed8a09691205660468bp+0),
L(0x1.22b547a06edda944fcb12fd9b5ecp+0),
L(0x1.2c57fce7db86a91df09602d344b3p+0),
L(0x1.4aade4894708f84795212fe257eep+0),
L(0x1.579c8b7b67ec4afed5b28c8bf787p+0),
L(0x1.776820e7fc80ae5284239733078ap+0),
L(0x1.883ab28c7301fde4ca6b8ec26ec8p+0),
L(0x1.aa2ef6e1ae52eb42c9ee83b206e3p+0),
L(0x1.bf4ad50f0a9a9311300cf0c51ee7p+0),
L(0x1.e40206e0e96b1da463814dde0d09p+0),
L(0x1.fdcbcffef3a21b29719c2bd9feb1p+0),
L(0x2.25e2e8948939c4d42cf108fae4bep+0),
L(0x2.44ce14d2b59c1c0e6bf2cfa81018p+0),
L(0x2.70ee80bbd0387162be4861c43622p+0),
L(0x2.954b64d2c2ebf3489b949c74476p+0),
L(0x2.c616e133a811c1c9446105208656p+0),
L(0x3.05a69dfe1a9ba1079f90fcf26bd4p+0),
L(0x3.410d2ad16a0506de29736e6aafdap+0),
};
static const size_t poly_deg[] =
@ -415,10 +415,10 @@ static const size_t poly_end[] =
static _Float128
lg_sinpi (_Float128 x)
{
if (x <= 0.25L)
if (x <= L(0.25))
return __sinl (M_PIl * x);
else
return __cosl (M_PIl * (0.5L - x));
return __cosl (M_PIl * (L(0.5) - x));
}
/* Compute cos (pi * X) for -0.25 <= X <= 0.5. */
@ -426,10 +426,10 @@ lg_sinpi (_Float128 x)
static _Float128
lg_cospi (_Float128 x)
{
if (x <= 0.25L)
if (x <= L(0.25))
return __cosl (M_PIl * x);
else
return __sinl (M_PIl * (0.5L - x));
return __sinl (M_PIl * (L(0.5) - x));
}
/* Compute cot (pi * X) for -0.25 <= X <= 0.5. */
@ -450,7 +450,7 @@ __lgamma_negl (_Float128 x, int *signgamp)
integers and determine the sign of the result. */
int i = __floorl (-2 * x);
if ((i & 1) == 0 && i == -2 * x)
return 1.0L / 0.0L;
return L(1.0) / L(0.0);
_Float128 xn = ((i & 1) == 0 ? -i / 2 : (-i - 1) / 2);
i -= 4;
*signgamp = ((i & 2) == 0 ? -1 : 1);
@ -466,7 +466,7 @@ __lgamma_negl (_Float128 x, int *signgamp)
if (i < 2)
{
int j = __floorl (-8 * x) - 16;
_Float128 xm = (-33 - 2 * j) * 0.0625L;
_Float128 xm = (-33 - 2 * j) * L(0.0625);
_Float128 x_adj = x - xm;
size_t deg = poly_deg[j];
size_t end = poly_end[j];
@ -480,7 +480,7 @@ __lgamma_negl (_Float128 x, int *signgamp)
+ log (gamma (1 - X0) / gamma (1 - X)). */
_Float128 x_idiff = fabsl (xn - x), x0_idiff = fabsl (xn - x0_hi - x0_lo);
_Float128 log_sinpi_ratio;
if (x0_idiff < x_idiff * 0.5L)
if (x0_idiff < x_idiff * L(0.5))
/* Use log not log1p to avoid inaccuracy from log1p of arguments
close to -1. */
log_sinpi_ratio = __ieee754_logl (lg_sinpi (x0_idiff)
@ -490,7 +490,7 @@ __lgamma_negl (_Float128 x, int *signgamp)
/* Use log1p not log to avoid inaccuracy from log of arguments
close to 1. X0DIFF2 has positive sign if X0 is further from
XN than X is from XN, negative sign otherwise. */
_Float128 x0diff2 = ((i & 1) == 0 ? xdiff : -xdiff) * 0.5L;
_Float128 x0diff2 = ((i & 1) == 0 ? xdiff : -xdiff) * L(0.5);
_Float128 sx0d2 = lg_sinpi (x0diff2);
_Float128 cx0d2 = lg_cospi (x0diff2);
log_sinpi_ratio = __log1pl (2 * sx0d2
@ -526,7 +526,7 @@ __lgamma_negl (_Float128 x, int *signgamp)
}
_Float128 log_gamma_high
= (xdiff * __log1pl ((y0 - e_hi - e_lo + y0_eps) / e_hi)
+ (y - 0.5L + y_eps) * __log1pl (xdiff / y) + log_gamma_adj);
+ (y - L(0.5) + y_eps) * __log1pl (xdiff / y) + log_gamma_adj);
/* Compute the sum of (B_2k / 2k(2k-1))(Y0^-(2k-1) - Y^-(2k-1)). */
_Float128 y0r = 1 / y0, yr = 1 / y;
_Float128 y0r2 = y0r * y0r, yr2 = yr * yr;

6
sysdeps/ieee754/ldbl-128/s_asinhl.c
View File

@ -34,9 +34,9 @@ static char rcsid[] = "$NetBSD: $";
#include <math_private.h>
static const _Float128
one = 1.0L,
ln2 = 6.931471805599453094172321214581765681e-1L,
huge = 1.0e+4900L;
one = 1,
ln2 = L(6.931471805599453094172321214581765681e-1),
huge = L(1.0e+4900);
_Float128
__asinhl (_Float128 x)

192
sysdeps/ieee754/ldbl-128/s_atanl.c
View File

@ -65,90 +65,90 @@
/* arctan(k/8), k = 0, ..., 82 */
static const _Float128 atantbl[84] = {
0.0000000000000000000000000000000000000000E0L,
1.2435499454676143503135484916387102557317E-1L, /* arctan(0.125) */
2.4497866312686415417208248121127581091414E-1L,
3.5877067027057222039592006392646049977698E-1L,
4.6364760900080611621425623146121440202854E-1L,
5.5859931534356243597150821640166127034645E-1L,
6.4350110879328438680280922871732263804151E-1L,
7.1882999962162450541701415152590465395142E-1L,
7.8539816339744830961566084581987572104929E-1L,
8.4415398611317100251784414827164750652594E-1L,
8.9605538457134395617480071802993782702458E-1L,
9.4200004037946366473793717053459358607166E-1L,
9.8279372324732906798571061101466601449688E-1L,
1.0191413442663497346383429170230636487744E0L,
1.0516502125483736674598673120862998296302E0L,
1.0808390005411683108871567292171998202703E0L,
1.1071487177940905030170654601785370400700E0L,
1.1309537439791604464709335155363278047493E0L,
1.1525719972156675180401498626127513797495E0L,
1.1722738811284763866005949441337046149712E0L,
1.1902899496825317329277337748293183376012E0L,
1.2068173702852525303955115800565576303133E0L,
1.2220253232109896370417417439225704908830E0L,
1.2360594894780819419094519711090786987027E0L,
1.2490457723982544258299170772810901230778E0L,
1.2610933822524404193139408812473357720101E0L,
1.2722973952087173412961937498224804940684E0L,
1.2827408797442707473628852511364955306249E0L,
1.2924966677897852679030914214070816845853E0L,
1.3016288340091961438047858503666855921414E0L,
1.3101939350475556342564376891719053122733E0L,
1.3182420510168370498593302023271362531155E0L,
1.3258176636680324650592392104284756311844E0L,
1.3329603993374458675538498697331558093700E0L,
1.3397056595989995393283037525895557411039E0L,
1.3460851583802539310489409282517796256512E0L,
1.3521273809209546571891479413898128509842E0L,
1.3578579772154994751124898859640585287459E0L,
1.3633001003596939542892985278250991189943E0L,
1.3684746984165928776366381936948529556191E0L,
1.3734007669450158608612719264449611486510E0L,
1.3780955681325110444536609641291551522494E0L,
1.3825748214901258580599674177685685125566E0L,
1.3868528702577214543289381097042486034883E0L,
1.3909428270024183486427686943836432060856E0L,
1.3948567013423687823948122092044222644895E0L,
1.3986055122719575950126700816114282335732E0L,
1.4021993871854670105330304794336492676944E0L,
1.4056476493802697809521934019958079881002E0L,
1.4089588955564736949699075250792569287156E0L,
1.4121410646084952153676136718584891599630E0L,
1.4152014988178669079462550975833894394929E0L,
1.4181469983996314594038603039700989523716E0L,
1.4209838702219992566633046424614466661176E0L,
1.4237179714064941189018190466107297503086E0L,
1.4263547484202526397918060597281265695725E0L,
1.4288992721907326964184700745371983590908E0L,
1.4313562697035588982240194668401779312122E0L,
1.4337301524847089866404719096698873648610E0L,
1.4360250423171655234964275337155008780675E0L,
1.4382447944982225979614042479354815855386E0L,
1.4403930189057632173997301031392126865694E0L,
1.4424730991091018200252920599377292525125E0L,
1.4444882097316563655148453598508037025938E0L,
1.4464413322481351841999668424758804165254E0L,
1.4483352693775551917970437843145232637695E0L,
1.4501726582147939000905940595923466567576E0L,
1.4519559822271314199339700039142990228105E0L,
1.4536875822280323362423034480994649820285E0L,
1.4553696664279718992423082296859928222270E0L,
1.4570043196511885530074841089245667532358E0L,
1.4585935117976422128825857356750737658039E0L,
1.4601391056210009726721818194296893361233E0L,
1.4616428638860188872060496086383008594310E0L,
1.4631064559620759326975975316301202111560E0L,
1.4645314639038178118428450961503371619177E0L,
1.4659193880646627234129855241049975398470E0L,
1.4672716522843522691530527207287398276197E0L,
1.4685896086876430842559640450619880951144E0L,
1.4698745421276027686510391411132998919794E0L,
1.4711276743037345918528755717617308518553E0L,
1.4723501675822635384916444186631899205983E0L,
1.4735431285433308455179928682541563973416E0L, /* arctan(10.25) */
1.5707963267948966192313216916397514420986E0L /* pi/2 */
L(0.0000000000000000000000000000000000000000E0),
L(1.2435499454676143503135484916387102557317E-1), /* arctan(0.125) */
L(2.4497866312686415417208248121127581091414E-1),
L(3.5877067027057222039592006392646049977698E-1),
L(4.6364760900080611621425623146121440202854E-1),
L(5.5859931534356243597150821640166127034645E-1),
L(6.4350110879328438680280922871732263804151E-1),
L(7.1882999962162450541701415152590465395142E-1),
L(7.8539816339744830961566084581987572104929E-1),
L(8.4415398611317100251784414827164750652594E-1),
L(8.9605538457134395617480071802993782702458E-1),
L(9.4200004037946366473793717053459358607166E-1),
L(9.8279372324732906798571061101466601449688E-1),
L(1.0191413442663497346383429170230636487744E0),
L(1.0516502125483736674598673120862998296302E0),
L(1.0808390005411683108871567292171998202703E0),
L(1.1071487177940905030170654601785370400700E0),
L(1.1309537439791604464709335155363278047493E0),
L(1.1525719972156675180401498626127513797495E0),
L(1.1722738811284763866005949441337046149712E0),
L(1.1902899496825317329277337748293183376012E0),
L(1.2068173702852525303955115800565576303133E0),
L(1.2220253232109896370417417439225704908830E0),
L(1.2360594894780819419094519711090786987027E0),
L(1.2490457723982544258299170772810901230778E0),
L(1.2610933822524404193139408812473357720101E0),
L(1.2722973952087173412961937498224804940684E0),
L(1.2827408797442707473628852511364955306249E0),
L(1.2924966677897852679030914214070816845853E0),
L(1.3016288340091961438047858503666855921414E0),
L(1.3101939350475556342564376891719053122733E0),
L(1.3182420510168370498593302023271362531155E0),
L(1.3258176636680324650592392104284756311844E0),
L(1.3329603993374458675538498697331558093700E0),
L(1.3397056595989995393283037525895557411039E0),
L(1.3460851583802539310489409282517796256512E0),
L(1.3521273809209546571891479413898128509842E0),
L(1.3578579772154994751124898859640585287459E0),
L(1.3633001003596939542892985278250991189943E0),
L(1.3684746984165928776366381936948529556191E0),
L(1.3734007669450158608612719264449611486510E0),
L(1.3780955681325110444536609641291551522494E0),
L(1.3825748214901258580599674177685685125566E0),
L(1.3868528702577214543289381097042486034883E0),
L(1.3909428270024183486427686943836432060856E0),
L(1.3948567013423687823948122092044222644895E0),
L(1.3986055122719575950126700816114282335732E0),
L(1.4021993871854670105330304794336492676944E0),
L(1.4056476493802697809521934019958079881002E0),
L(1.4089588955564736949699075250792569287156E0),
L(1.4121410646084952153676136718584891599630E0),
L(1.4152014988178669079462550975833894394929E0),
L(1.4181469983996314594038603039700989523716E0),
L(1.4209838702219992566633046424614466661176E0),
L(1.4237179714064941189018190466107297503086E0),
L(1.4263547484202526397918060597281265695725E0),
L(1.4288992721907326964184700745371983590908E0),
L(1.4313562697035588982240194668401779312122E0),
L(1.4337301524847089866404719096698873648610E0),
L(1.4360250423171655234964275337155008780675E0),
L(1.4382447944982225979614042479354815855386E0),
L(1.4403930189057632173997301031392126865694E0),
L(1.4424730991091018200252920599377292525125E0),
L(1.4444882097316563655148453598508037025938E0),
L(1.4464413322481351841999668424758804165254E0),
L(1.4483352693775551917970437843145232637695E0),
L(1.4501726582147939000905940595923466567576E0),
L(1.4519559822271314199339700039142990228105E0),
L(1.4536875822280323362423034480994649820285E0),
L(1.4553696664279718992423082296859928222270E0),
L(1.4570043196511885530074841089245667532358E0),
L(1.4585935117976422128825857356750737658039E0),
L(1.4601391056210009726721818194296893361233E0),
L(1.4616428638860188872060496086383008594310E0),
L(1.4631064559620759326975975316301202111560E0),
L(1.4645314639038178118428450961503371619177E0),
L(1.4659193880646627234129855241049975398470E0),
L(1.4672716522843522691530527207287398276197E0),
L(1.4685896086876430842559640450619880951144E0),
L(1.4698745421276027686510391411132998919794E0),
L(1.4711276743037345918528755717617308518553E0),
L(1.4723501675822635384916444186631899205983E0),
L(1.4735431285433308455179928682541563973416E0), /* arctan(10.25) */
L(1.5707963267948966192313216916397514420986E0) /* pi/2 */
};
@ -157,19 +157,19 @@ static const _Float128 atantbl[84] = {
peak relative error 5.3e-37 */
static const _Float128
p0 = -4.283708356338736809269381409828726405572E1L,
p1 = -8.636132499244548540964557273544599863825E1L,
p2 = -5.713554848244551350855604111031839613216E1L,
p3 = -1.371405711877433266573835355036413750118E1L,
p4 = -8.638214309119210906997318946650189640184E-1L,
q0 = 1.285112506901621042780814422948906537959E2L,
q1 = 3.361907253914337187957855834229672347089E2L,
q2 = 3.180448303864130128268191635189365331680E2L,
q3 = 1.307244136980865800160844625025280344686E2L,
q4 = 2.173623741810414221251136181221172551416E1L;
p0 = L(-4.283708356338736809269381409828726405572E1),
p1 = L(-8.636132499244548540964557273544599863825E1),
p2 = L(-5.713554848244551350855604111031839613216E1),
p3 = L(-1.371405711877433266573835355036413750118E1),
p4 = L(-8.638214309119210906997318946650189640184E-1),
q0 = L(1.285112506901621042780814422948906537959E2),
q1 = L(3.361907253914337187957855834229672347089E2),
q2 = L(3.180448303864130128268191635189365331680E2),
q3 = L(1.307244136980865800160844625025280344686E2),
q4 = L(2.173623741810414221251136181221172551416E1);
/* q5 = 1.000000000000000000000000000000000000000E0 */
static const _Float128 huge = 1.0e4930L;
static const _Float128 huge = L(1.0e4930);
_Float128
__atanl (_Float128 x)
@ -231,7 +231,7 @@ __atanl (_Float128 x)
Roundoff to integer is asymmetrical to avoid cancellation when t < 0
(cf. fdlibm). */
k = 8.0 * x + 0.25;
u = 0.125L * k;
u = L(0.125) * k;
/* Small arctan argument. */
t = (x - u) / (1.0 + x * u);
}

24
sysdeps/ieee754/ldbl-128/s_cbrtl.c
View File

@ -57,10 +57,10 @@ Adapted for glibc October, 2001.
#include <math.h>
#include <math_private.h>
static const _Float128 CBRT2 = 1.259921049894873164767210607278228350570251L;
static const _Float128 CBRT4 = 1.587401051968199474751705639272308260391493L;
static const _Float128 CBRT2I = 0.7937005259840997373758528196361541301957467L;
static const _Float128 CBRT4I = 0.6299605249474365823836053036391141752851257L;
static const _Float128 CBRT2 = L(1.259921049894873164767210607278228350570251);
static const _Float128 CBRT4 = L(1.587401051968199474751705639272308260391493);
static const _Float128 CBRT2I = L(0.7937005259840997373758528196361541301957467);
static const _Float128 CBRT4I = L(0.6299605249474365823836053036391141752851257);
_Float128
@ -89,11 +89,11 @@ __cbrtl (_Float128 x)
/* Approximate cube root of number between .5 and 1,
peak relative error = 1.2e-6 */
x = ((((1.3584464340920900529734e-1L * x
- 6.3986917220457538402318e-1L) * x
+ 1.2875551670318751538055e0L) * x
- 1.4897083391357284957891e0L) * x
+ 1.3304961236013647092521e0L) * x + 3.7568280825958912391243e-1L;
x = ((((L(1.3584464340920900529734e-1) * x
- L(6.3986917220457538402318e-1)) * x
+ L(1.2875551670318751538055e0)) * x
- L(1.4897083391357284957891e0)) * x
+ L(1.3304961236013647092521e0)) * x + L(3.7568280825958912391243e-1);
/* exponent divided by 3 */
if (e >= 0)
@ -123,9 +123,9 @@ __cbrtl (_Float128 x)
x = __ldexpl (x, e);
/* Newton iteration */
x -= (x - (z / (x * x))) * 0.3333333333333333333333333333333333333333L;
x -= (x - (z / (x * x))) * 0.3333333333333333333333333333333333333333L;
x -= (x - (z / (x * x))) * 0.3333333333333333333333333333333333333333L;
x -= (x - (z / (x * x))) * L(0.3333333333333333333333333333333333333333);
x -= (x - (z / (x * x))) * L(0.3333333333333333333333333333333333333333);
x -= (x - (z / (x * x))) * L(0.3333333333333333333333333333333333333333);
if (sign < 0)
x = -x;

2
sysdeps/ieee754/ldbl-128/s_cosl.c
View File

@ -50,7 +50,7 @@
_Float128 __cosl(_Float128 x)
{
_Float128 y[2],z=0.0L;
_Float128 y[2],z=0;
int64_t n, ix;
/* High word of x. */

738
sysdeps/ieee754/ldbl-128/s_erfl.c
View File

@ -139,11 +139,11 @@ deval (_Float128 x, const _Float128 *p, int n)
static const _Float128
tiny = 1e-4931L,
one = 1.0L,
two = 2.0L,
tiny = L(1e-4931),
one = 1,
two = 2,
/* 2/sqrt(pi) - 1 */
efx = 1.2837916709551257389615890312154517168810E-1L;
efx = L(1.2837916709551257389615890312154517168810E-1);
/* erf(x) = x + x R(x^2)
@ -152,28 +152,28 @@ tiny = 1e-4931L,
#define NTN1 8
static const _Float128 TN1[NTN1 + 1] =
{
-3.858252324254637124543172907442106422373E10L,
9.580319248590464682316366876952214879858E10L,
1.302170519734879977595901236693040544854E10L,
2.922956950426397417800321486727032845006E9L,
1.764317520783319397868923218385468729799E8L,
1.573436014601118630105796794840834145120E7L,
4.028077380105721388745632295157816229289E5L,
1.644056806467289066852135096352853491530E4L,
3.390868480059991640235675479463287886081E1L
L(-3.858252324254637124543172907442106422373E10),
L(9.580319248590464682316366876952214879858E10),
L(1.302170519734879977595901236693040544854E10),
L(2.922956950426397417800321486727032845006E9),
L(1.764317520783319397868923218385468729799E8),
L(1.573436014601118630105796794840834145120E7),
L(4.028077380105721388745632295157816229289E5),
L(1.644056806467289066852135096352853491530E4),
L(3.390868480059991640235675479463287886081E1)
};
#define NTD1 8
static const _Float128 TD1[NTD1 + 1] =
{
-3.005357030696532927149885530689529032152E11L,
-1.342602283126282827411658673839982164042E11L,
-2.777153893355340961288511024443668743399E10L,
-3.483826391033531996955620074072768276974E9L,
-2.906321047071299585682722511260895227921E8L,
-1.653347985722154162439387878512427542691E7L,
-6.245520581562848778466500301865173123136E5L,
-1.402124304177498828590239373389110545142E4L,
-1.209368072473510674493129989468348633579E2L
L(-3.005357030696532927149885530689529032152E11),
L(-1.342602283126282827411658673839982164042E11),
L(-2.777153893355340961288511024443668743399E10),
L(-3.483826391033531996955620074072768276974E9),
L(-2.906321047071299585682722511260895227921E8),
L(-1.653347985722154162439387878512427542691E7),
L(-6.245520581562848778466500301865173123136E5),
L(-1.402124304177498828590239373389110545142E4),
L(-1.209368072473510674493129989468348633579E2)
/* 1.0E0 */
};
@ -181,32 +181,32 @@ static const _Float128 TD1[NTD1 + 1] =
/* erf(z+1) = erf_const + P(z)/Q(z)
-.125 <= z <= 0
Peak relative error 7.3e-36 */
static const _Float128 erf_const = 0.845062911510467529296875L;
static const _Float128 erf_const = L(0.845062911510467529296875);
#define NTN2 8
static const _Float128 TN2[NTN2 + 1] =
{
-4.088889697077485301010486931817357000235E1L,
7.157046430681808553842307502826960051036E3L,
-2.191561912574409865550015485451373731780E3L,
2.180174916555316874988981177654057337219E3L,
2.848578658049670668231333682379720943455E2L,
1.630362490952512836762810462174798925274E2L,
6.317712353961866974143739396865293596895E0L,
2.450441034183492434655586496522857578066E1L,
5.127662277706787664956025545897050896203E-1L
L(-4.088889697077485301010486931817357000235E1),
L(7.157046430681808553842307502826960051036E3),
L(-2.191561912574409865550015485451373731780E3),
L(2.180174916555316874988981177654057337219E3),
L(2.848578658049670668231333682379720943455E2),
L(1.630362490952512836762810462174798925274E2),
L(6.317712353961866974143739396865293596895E0),
L(2.450441034183492434655586496522857578066E1),
L(5.127662277706787664956025545897050896203E-1)
};
#define NTD2 8
static const _Float128 TD2[NTD2 + 1] =
{
1.731026445926834008273768924015161048885E4L,
1.209682239007990370796112604286048173750E4L,
1.160950290217993641320602282462976163857E4L,
5.394294645127126577825507169061355698157E3L,
2.791239340533632669442158497532521776093E3L,
8.989365571337319032943005387378993827684E2L,
2.974016493766349409725385710897298069677E2L,
6.148192754590376378740261072533527271947E1L,
1.178502892490738445655468927408440847480E1L
L(1.731026445926834008273768924015161048885E4),
L(1.209682239007990370796112604286048173750E4),
L(1.160950290217993641320602282462976163857E4),
L(5.394294645127126577825507169061355698157E3),
L(2.791239340533632669442158497532521776093E3),
L(8.989365571337319032943005387378993827684E2),
L(2.974016493766349409725385710897298069677E2),
L(6.148192754590376378740261072533527271947E1),
L(1.178502892490738445655468927408440847480E1)
/* 1.0E0 */
};
@ -217,32 +217,32 @@ static const _Float128 TD2[NTD2 + 1] =
#define NRNr13 8
static const _Float128 RNr13[NRNr13 + 1] =
{
-2.353707097641280550282633036456457014829E3L,
3.871159656228743599994116143079870279866E2L,
-3.888105134258266192210485617504098426679E2L,
-2.129998539120061668038806696199343094971E1L,
-8.125462263594034672468446317145384108734E1L,
8.151549093983505810118308635926270319660E0L,
-5.033362032729207310462422357772568553670E0L,
-4.253956621135136090295893547735851168471E-2L,
-8.098602878463854789780108161581050357814E-2L
L(-2.353707097641280550282633036456457014829E3),
L(3.871159656228743599994116143079870279866E2),
L(-3.888105134258266192210485617504098426679E2),
L(-2.129998539120061668038806696199343094971E1),
L(-8.125462263594034672468446317145384108734E1),
L(8.151549093983505810118308635926270319660E0),
L(-5.033362032729207310462422357772568553670E0),
L(-4.253956621135136090295893547735851168471E-2),
L(-8.098602878463854789780108161581050357814E-2)
};
#define NRDr13 7
static const _Float128 RDr13[NRDr13 + 1] =
{
2.220448796306693503549505450626652881752E3L,
1.899133258779578688791041599040951431383E2L,
1.061906712284961110196427571557149268454E3L,
7.497086072306967965180978101974566760042E1L,
2.146796115662672795876463568170441327274E2L,
1.120156008362573736664338015952284925592E1L,
2.211014952075052616409845051695042741074E1L,
6.469655675326150785692908453094054988938E-1L
L(2.220448796306693503549505450626652881752E3),
L(1.899133258779578688791041599040951431383E2),
L(1.061906712284961110196427571557149268454E3),
L(7.497086072306967965180978101974566760042E1),
L(2.146796115662672795876463568170441327274E2),
L(1.120156008362573736664338015952284925592E1),
L(2.211014952075052616409845051695042741074E1),
L(6.469655675326150785692908453094054988938E-1)
/* 1.0E0 */
};
/* erfc(0.25) = C13a + C13b to extra precision. */
static const _Float128 C13a = 0.723663330078125L;
static const _Float128 C13b = 1.0279753638067014931732235184287934646022E-5L;
static const _Float128 C13a = L(0.723663330078125);
static const _Float128 C13b = L(1.0279753638067014931732235184287934646022E-5);
/* erfc(x + 0.375) = erfc(0.375) + x R(x)
@ -251,32 +251,32 @@ static const _Float128 C13b = 1.0279753638067014931732235184287934646022E-5L;
#define NRNr14 8
static const _Float128 RNr14[NRNr14 + 1] =
{
-2.446164016404426277577283038988918202456E3L,
6.718753324496563913392217011618096698140E2L,
-4.581631138049836157425391886957389240794E2L,
-2.382844088987092233033215402335026078208E1L,
-7.119237852400600507927038680970936336458E1L,
1.313609646108420136332418282286454287146E1L,
-6.188608702082264389155862490056401365834E0L,
-2.787116601106678287277373011101132659279E-2L,
-2.230395570574153963203348263549700967918E-2L
L(-2.446164016404426277577283038988918202456E3),
L(6.718753324496563913392217011618096698140E2),
L(-4.581631138049836157425391886957389240794E2),
L(-2.382844088987092233033215402335026078208E1),
L(-7.119237852400600507927038680970936336458E1),
L(1.313609646108420136332418282286454287146E1),
L(-6.188608702082264389155862490056401365834E0),
L(-2.787116601106678287277373011101132659279E-2),
L(-2.230395570574153963203348263549700967918E-2)
};
#define NRDr14 7
static const _Float128 RDr14[NRDr14 + 1] =
{
2.495187439241869732696223349840963702875E3L,
2.503549449872925580011284635695738412162E2L,
1.159033560988895481698051531263861842461E3L,
9.493751466542304491261487998684383688622E1L,
2.276214929562354328261422263078480321204E2L,
1.367697521219069280358984081407807931847E1L,
2.276988395995528495055594829206582732682E1L,
7.647745753648996559837591812375456641163E-1L
L(2.495187439241869732696223349840963702875E3),
L(2.503549449872925580011284635695738412162E2),
L(1.159033560988895481698051531263861842461E3),
L(9.493751466542304491261487998684383688622E1),
L(2.276214929562354328261422263078480321204E2),
L(1.367697521219069280358984081407807931847E1),
L(2.276988395995528495055594829206582732682E1),
L(7.647745753648996559837591812375456641163E-1)
/* 1.0E0 */
};
/* erfc(0.375) = C14a + C14b to extra precision. */
static const _Float128 C14a = 0.5958709716796875L;
static const _Float128 C14b = 1.2118885490201676174914080878232469565953E-5L;
static const _Float128 C14a = L(0.5958709716796875);
static const _Float128 C14b = L(1.2118885490201676174914080878232469565953E-5);
/* erfc(x + 0.5) = erfc(0.5) + x R(x)
0 <= x < 0.125
@ -284,32 +284,32 @@ static const _Float128 C14b = 1.2118885490201676174914080878232469565953E-5L;
#define NRNr15 8
static const _Float128 RNr15[NRNr15 + 1] =
{
-2.624212418011181487924855581955853461925E3L,
8.473828904647825181073831556439301342756E2L,
-5.286207458628380765099405359607331669027E2L,
-3.895781234155315729088407259045269652318E1L,
-6.200857908065163618041240848728398496256E1L,
1.469324610346924001393137895116129204737E1L,
-6.961356525370658572800674953305625578903E0L,
5.145724386641163809595512876629030548495E-3L,
1.990253655948179713415957791776180406812E-2L
L(-2.624212418011181487924855581955853461925E3),
L(8.473828904647825181073831556439301342756E2),
L(-5.286207458628380765099405359607331669027E2),
L(-3.895781234155315729088407259045269652318E1),
L(-6.200857908065163618041240848728398496256E1),
L(1.469324610346924001393137895116129204737E1),
L(-6.961356525370658572800674953305625578903E0),
L(5.145724386641163809595512876629030548495E-3),
L(1.990253655948179713415957791776180406812E-2)
};
#define NRDr15 7
static const _Float128 RDr15[NRDr15 + 1] =
{
2.986190760847974943034021764693341524962E3L,
5.288262758961073066335410218650047725985E2L,
1.363649178071006978355113026427856008978E3L,
1.921707975649915894241864988942255320833E2L,
2.588651100651029023069013885900085533226E2L,
2.628752920321455606558942309396855629459E1L,
2.455649035885114308978333741080991380610E1L,
1.378826653595128464383127836412100939126E0L
L(2.986190760847974943034021764693341524962E3),
L(5.288262758961073066335410218650047725985E2),
L(1.363649178071006978355113026427856008978E3),
L(1.921707975649915894241864988942255320833E2),
L(2.588651100651029023069013885900085533226E2),
L(2.628752920321455606558942309396855629459E1),
L(2.455649035885114308978333741080991380610E1),
L(1.378826653595128464383127836412100939126E0)
/* 1.0E0 */
};
/* erfc(0.5) = C15a + C15b to extra precision. */
static const _Float128 C15a = 0.4794921875L;
static const _Float128 C15b = 7.9346869534623172533461080354712635484242E-6L;
static const _Float128 C15a = L(0.4794921875);
static const _Float128 C15b = L(7.9346869534623172533461080354712635484242E-6);
/* erfc(x + 0.625) = erfc(0.625) + x R(x)
0 <= x < 0.125
@ -317,32 +317,32 @@ static const _Float128 C15b = 7.9346869534623172533461080354712635484242E-6L;
#define NRNr16 8
static const _Float128 RNr16[NRNr16 + 1] =
{
-2.347887943200680563784690094002722906820E3L,
8.008590660692105004780722726421020136482E2L,
-5.257363310384119728760181252132311447963E2L,
-4.471737717857801230450290232600243795637E1L,
-4.849540386452573306708795324759300320304E1L,
1.140885264677134679275986782978655952843E1L,
-6.731591085460269447926746876983786152300E0L,
1.370831653033047440345050025876085121231E-1L,
2.022958279982138755020825717073966576670E-2L,
L(-2.347887943200680563784690094002722906820E3),
L(8.008590660692105004780722726421020136482E2),
L(-5.257363310384119728760181252132311447963E2),
L(-4.471737717857801230450290232600243795637E1),
L(-4.849540386452573306708795324759300320304E1),
L(1.140885264677134679275986782978655952843E1),
L(-6.731591085460269447926746876983786152300E0),
L(1.370831653033047440345050025876085121231E-1),
L(2.022958279982138755020825717073966576670E-2),
};
#define NRDr16 7
static const _Float128 RDr16[NRDr16 + 1] =
{
3.075166170024837215399323264868308087281E3L,
8.730468942160798031608053127270430036627E2L,
1.458472799166340479742581949088453244767E3L,
3.230423687568019709453130785873540386217E2L,
2.804009872719893612081109617983169474655E2L,
4.465334221323222943418085830026979293091E1L,
2.612723259683205928103787842214809134746E1L,
2.341526751185244109722204018543276124997E0L,
L(3.075166170024837215399323264868308087281E3),
L(8.730468942160798031608053127270430036627E2),
L(1.458472799166340479742581949088453244767E3),
L(3.230423687568019709453130785873540386217E2),
L(2.804009872719893612081109617983169474655E2),
L(4.465334221323222943418085830026979293091E1),
L(2.612723259683205928103787842214809134746E1),
L(2.341526751185244109722204018543276124997E0),
/* 1.0E0 */
};
/* erfc(0.625) = C16a + C16b to extra precision. */
static const _Float128 C16a = 0.3767547607421875L;
static const _Float128 C16b = 4.3570693945275513594941232097252997287766E-6L;
static const _Float128 C16a = L(0.3767547607421875);
static const _Float128 C16b = L(4.3570693945275513594941232097252997287766E-6);
/* erfc(x + 0.75) = erfc(0.75) + x R(x)
0 <= x < 0.125
@ -350,32 +350,32 @@ static const _Float128 C16b = 4.3570693945275513594941232097252997287766E-6L;
#define NRNr17 8
static const _Float128 RNr17[NRNr17 + 1] =
{
-1.767068734220277728233364375724380366826E3L,
6.693746645665242832426891888805363898707E2L,
-4.746224241837275958126060307406616817753E2L,
-2.274160637728782675145666064841883803196E1L,
-3.541232266140939050094370552538987982637E1L,
6.988950514747052676394491563585179503865E0L,
-5.807687216836540830881352383529281215100E0L,
3.631915988567346438830283503729569443642E-1L,
-1.488945487149634820537348176770282391202E-2L
L(-1.767068734220277728233364375724380366826E3),
L(6.693746645665242832426891888805363898707E2),
L(-4.746224241837275958126060307406616817753E2),
L(-2.274160637728782675145666064841883803196E1),
L(-3.541232266140939050094370552538987982637E1),
L(6.988950514747052676394491563585179503865E0),
L(-5.807687216836540830881352383529281215100E0),
L(3.631915988567346438830283503729569443642E-1),
L(-1.488945487149634820537348176770282391202E-2)
};
#define NRDr17 7
static const _Float128 RDr17[NRDr17 + 1] =
{
2.748457523498150741964464942246913394647E3L,
1.020213390713477686776037331757871252652E3L,
1.388857635935432621972601695296561952738E3L,
3.903363681143817750895999579637315491087E2L,
2.784568344378139499217928969529219886578E2L,
5.555800830216764702779238020065345401144E1L,
2.646215470959050279430447295801291168941E1L,
2.984905282103517497081766758550112011265E0L,
L(2.748457523498150741964464942246913394647E3),
L(1.020213390713477686776037331757871252652E3),
L(1.388857635935432621972601695296561952738E3),
L(3.903363681143817750895999579637315491087E2),
L(2.784568344378139499217928969529219886578E2),
L(5.555800830216764702779238020065345401144E1),
L(2.646215470959050279430447295801291168941E1),
L(2.984905282103517497081766758550112011265E0),
/* 1.0E0 */
};
/* erfc(0.75) = C17a + C17b to extra precision. */
static const _Float128 C17a = 0.2888336181640625L;
static const _Float128 C17b = 1.0748182422368401062165408589222625794046E-5L;
static const _Float128 C17a = L(0.2888336181640625);
static const _Float128 C17b = L(1.0748182422368401062165408589222625794046E-5);
/* erfc(x + 0.875) = erfc(0.875) + x R(x)
@ -384,32 +384,32 @@ static const _Float128 C17b = 1.0748182422368401062165408589222625794046E-5L;
#define NRNr18 8
static const _Float128 RNr18[NRNr18 + 1] =
{
-1.342044899087593397419622771847219619588E3L,
6.127221294229172997509252330961641850598E2L,
-4.519821356522291185621206350470820610727E2L,
1.223275177825128732497510264197915160235E1L,
-2.730789571382971355625020710543532867692E1L,
4.045181204921538886880171727755445395862E0L,
-4.925146477876592723401384464691452700539E0L,
5.933878036611279244654299924101068088582E-1L,
-5.557645435858916025452563379795159124753E-2L
L(-1.342044899087593397419622771847219619588E3),
L(6.127221294229172997509252330961641850598E2),
L(-4.519821356522291185621206350470820610727E2),
L(1.223275177825128732497510264197915160235E1),
L(-2.730789571382971355625020710543532867692E1),
L(4.045181204921538886880171727755445395862E0),
L(-4.925146477876592723401384464691452700539E0),
L(5.933878036611279244654299924101068088582E-1),
L(-5.557645435858916025452563379795159124753E-2)
};
#define NRDr18 7
static const _Float128 RDr18[NRDr18 + 1] =
{
2.557518000661700588758505116291983092951E3L,
1.070171433382888994954602511991940418588E3L,
1.344842834423493081054489613250688918709E3L,
4.161144478449381901208660598266288188426E2L,
2.763670252219855198052378138756906980422E2L,
5.998153487868943708236273854747564557632E1L,
2.657695108438628847733050476209037025318E1L,
3.252140524394421868923289114410336976512E0L,
L(2.557518000661700588758505116291983092951E3),
L(1.070171433382888994954602511991940418588E3),
L(1.344842834423493081054489613250688918709E3),
L(4.161144478449381901208660598266288188426E2),
L(2.763670252219855198052378138756906980422E2),
L(5.998153487868943708236273854747564557632E1),
L(2.657695108438628847733050476209037025318E1),
L(3.252140524394421868923289114410336976512E0),
/* 1.0E0 */
};
/* erfc(0.875) = C18a + C18b to extra precision. */
static const _Float128 C18a = 0.215911865234375L;
static const _Float128 C18b = 1.3073705765341685464282101150637224028267E-5L;
static const _Float128 C18a = L(0.215911865234375);
static const _Float128 C18b = L(1.3073705765341685464282101150637224028267E-5);
/* erfc(x + 1.0) = erfc(1.0) + x R(x)
0 <= x < 0.125
@ -417,32 +417,32 @@ static const _Float128 C18b = 1.3073705765341685464282101150637224028267E-5L;
#define NRNr19 8
static const _Float128 RNr19[NRNr19 + 1] =
{
-1.139180936454157193495882956565663294826E3L,
6.134903129086899737514712477207945973616E2L,
-4.628909024715329562325555164720732868263E2L,
4.165702387210732352564932347500364010833E1L,
-2.286979913515229747204101330405771801610E1L,
1.870695256449872743066783202326943667722E0L,
-4.177486601273105752879868187237000032364E0L,
7.533980372789646140112424811291782526263E-1L,
-8.629945436917752003058064731308767664446E-2L
L(-1.139180936454157193495882956565663294826E3),
L(6.134903129086899737514712477207945973616E2),
L(-4.628909024715329562325555164720732868263E2),
L(4.165702387210732352564932347500364010833E1),
L(-2.286979913515229747204101330405771801610E1),
L(1.870695256449872743066783202326943667722E0),
L(-4.177486601273105752879868187237000032364E0),
L(7.533980372789646140112424811291782526263E-1),
L(-8.629945436917752003058064731308767664446E-2)
};
#define NRDr19 7
static const _Float128 RDr19[NRDr19 + 1] =
{
2.744303447981132701432716278363418643778E3L,
1.266396359526187065222528050591302171471E3L,
1.466739461422073351497972255511919814273E3L,
4.868710570759693955597496520298058147162E2L,
2.993694301559756046478189634131722579643E2L,
6.868976819510254139741559102693828237440E1L,
2.801505816247677193480190483913753613630E1L,
3.604439909194350263552750347742663954481E0L,
L(2.744303447981132701432716278363418643778E3),
L(1.266396359526187065222528050591302171471E3),
L(1.466739461422073351497972255511919814273E3),
L(4.868710570759693955597496520298058147162E2),
L(2.993694301559756046478189634131722579643E2),
L(6.868976819510254139741559102693828237440E1),
L(2.801505816247677193480190483913753613630E1),
L(3.604439909194350263552750347742663954481E0),
/* 1.0E0 */
};
/* erfc(1.0) = C19a + C19b to extra precision. */
static const _Float128 C19a = 0.15728759765625L;
static const _Float128 C19b = 1.1609394035130658779364917390740703933002E-5L;
static const _Float128 C19a = L(0.15728759765625);
static const _Float128 C19b = L(1.1609394035130658779364917390740703933002E-5);
/* erfc(x + 1.125) = erfc(1.125) + x R(x)
0 <= x < 0.125
@ -450,32 +450,32 @@ static const _Float128 C19b = 1.1609394035130658779364917390740703933002E-5L;
#define NRNr20 8
static const _Float128 RNr20[NRNr20 + 1] =
{
-9.652706916457973956366721379612508047640E2L,
5.577066396050932776683469951773643880634E2L,
-4.406335508848496713572223098693575485978E2L,
5.202893466490242733570232680736966655434E1L,
-1.931311847665757913322495948705563937159E1L,
-9.364318268748287664267341457164918090611E-2L,
-3.306390351286352764891355375882586201069E0L,
7.573806045289044647727613003096916516475E-1L,
-9.611744011489092894027478899545635991213E-2L
L(-9.652706916457973956366721379612508047640E2),
L(5.577066396050932776683469951773643880634E2),
L(-4.406335508848496713572223098693575485978E2),
L(5.202893466490242733570232680736966655434E1),
L(-1.931311847665757913322495948705563937159E1),
L(-9.364318268748287664267341457164918090611E-2),
L(-3.306390351286352764891355375882586201069E0),
L(7.573806045289044647727613003096916516475E-1),
L(-9.611744011489092894027478899545635991213E-2)
};
#define NRDr20 7
static const _Float128 RDr20[NRDr20 + 1] =
{
3.032829629520142564106649167182428189014E3L,
1.659648470721967719961167083684972196891E3L,
1.703545128657284619402511356932569292535E3L,
6.393465677731598872500200253155257708763E2L,
3.489131397281030947405287112726059221934E2L,
8.848641738570783406484348434387611713070E1L,
3.132269062552392974833215844236160958502E1L,
4.430131663290563523933419966185230513168E0L
L(3.032829629520142564106649167182428189014E3),
L(1.659648470721967719961167083684972196891E3),
L(1.703545128657284619402511356932569292535E3),
L(6.393465677731598872500200253155257708763E2),
L(3.489131397281030947405287112726059221934E2),
L(8.848641738570783406484348434387611713070E1),
L(3.132269062552392974833215844236160958502E1),
L(4.430131663290563523933419966185230513168E0)
/* 1.0E0 */
};
/* erfc(1.125) = C20a + C20b to extra precision. */
static const _Float128 C20a = 0.111602783203125L;
static const _Float128 C20b = 8.9850951672359304215530728365232161564636E-6L;
static const _Float128 C20a = L(0.111602783203125);
static const _Float128 C20b = L(8.9850951672359304215530728365232161564636E-6);
/* erfc(1/x) = 1/x exp (-1/x^2 - 0.5625 + R(1/x^2))
7/8 <= 1/x < 1
@ -483,29 +483,29 @@ static const _Float128 C20b = 8.9850951672359304215530728365232161564636E-6L;
#define NRNr8 9
static const _Float128 RNr8[NRNr8 + 1] =
{
3.587451489255356250759834295199296936784E1L,
5.406249749087340431871378009874875889602E2L,
2.931301290625250886238822286506381194157E3L,
7.359254185241795584113047248898753470923E3L,
9.201031849810636104112101947312492532314E3L,
5.749697096193191467751650366613289284777E3L,
1.710415234419860825710780802678697889231E3L,
2.150753982543378580859546706243022719599E2L,
8.740953582272147335100537849981160931197E0L,
4.876422978828717219629814794707963640913E-2L
L(3.587451489255356250759834295199296936784E1),
L(5.406249749087340431871378009874875889602E2),
L(2.931301290625250886238822286506381194157E3),
L(7.359254185241795584113047248898753470923E3),
L(9.201031849810636104112101947312492532314E3),
L(5.749697096193191467751650366613289284777E3),
L(1.710415234419860825710780802678697889231E3),
L(2.150753982543378580859546706243022719599E2),
L(8.740953582272147335100537849981160931197E0),
L(4.876422978828717219629814794707963640913E-2)
};
#define NRDr8 8
static const _Float128 RDr8[NRDr8 + 1] =
{
6.358593134096908350929496535931630140282E1L,
9.900253816552450073757174323424051765523E2L,
5.642928777856801020545245437089490805186E3L,
1.524195375199570868195152698617273739609E4L,
2.113829644500006749947332935305800887345E4L,
1.526438562626465706267943737310282977138E4L,
5.561370922149241457131421914140039411782E3L,
9.394035530179705051609070428036834496942E2L,
6.147019596150394577984175188032707343615E1L
L(6.358593134096908350929496535931630140282E1),
L(9.900253816552450073757174323424051765523E2),
L(5.642928777856801020545245437089490805186E3),
L(1.524195375199570868195152698617273739609E4),
L(2.113829644500006749947332935305800887345E4),
L(1.526438562626465706267943737310282977138E4),
L(5.561370922149241457131421914140039411782E3),
L(9.394035530179705051609070428036834496942E2),
L(6.147019596150394577984175188032707343615E1)
/* 1.0E0 */
};
@ -515,30 +515,30 @@ static const _Float128 RDr8[NRDr8 + 1] =
#define NRNr7 9
static const _Float128 RNr7[NRNr7 + 1] =
{
1.686222193385987690785945787708644476545E1L,
1.178224543567604215602418571310612066594E3L,
1.764550584290149466653899886088166091093E4L,
1.073758321890334822002849369898232811561E5L,
3.132840749205943137619839114451290324371E5L,
4.607864939974100224615527007793867585915E5L,
3.389781820105852303125270837910972384510E5L,
1.174042187110565202875011358512564753399E5L,
1.660013606011167144046604892622504338313E4L,
6.700393957480661937695573729183733234400E2L
L(1.686222193385987690785945787708644476545E1),
L(1.178224543567604215602418571310612066594E3),
L(1.764550584290149466653899886088166091093E4),
L(1.073758321890334822002849369898232811561E5),
L(3.132840749205943137619839114451290324371E5),
L(4.607864939974100224615527007793867585915E5),
L(3.389781820105852303125270837910972384510E5),
L(1.174042187110565202875011358512564753399E5),
L(1.660013606011167144046604892622504338313E4),
L(6.700393957480661937695573729183733234400E2)
};
#define NRDr7 9
static const _Float128 RDr7[NRDr7 + 1] =
{
-1.709305024718358874701575813642933561169E3L,
-3.280033887481333199580464617020514788369E4L,
-2.345284228022521885093072363418750835214E5L,
-8.086758123097763971926711729242327554917E5L,
-1.456900414510108718402423999575992450138E6L,
-1.391654264881255068392389037292702041855E6L,
-6.842360801869939983674527468509852583855E5L,
-1.597430214446573566179675395199807533371E5L,
-1.488876130609876681421645314851760773480E4L,
-3.511762950935060301403599443436465645703E2L
L(-1.709305024718358874701575813642933561169E3),
L(-3.280033887481333199580464617020514788369E4),
L(-2.345284228022521885093072363418750835214E5),
L(-8.086758123097763971926711729242327554917E5),
L(-1.456900414510108718402423999575992450138E6),
L(-1.391654264881255068392389037292702041855E6),
L(-6.842360801869939983674527468509852583855E5),
L(-1.597430214446573566179675395199807533371E5),
L(-1.488876130609876681421645314851760773480E4),
L(-3.511762950935060301403599443436465645703E2)
/* 1.0E0 */
};
@ -548,30 +548,30 @@ static const _Float128 RDr7[NRDr7 + 1] =
#define NRNr6 9
static const _Float128 RNr6[NRNr6 + 1] =
{
1.642076876176834390623842732352935761108E0L,
1.207150003611117689000664385596211076662E2L,
2.119260779316389904742873816462800103939E3L,
1.562942227734663441801452930916044224174E4L,
5.656779189549710079988084081145693580479E4L,
1.052166241021481691922831746350942786299E5L,
9.949798524786000595621602790068349165758E4L,
4.491790734080265043407035220188849562856E4L,
8.377074098301530326270432059434791287601E3L,
4.506934806567986810091824791963991057083E2L
L(1.642076876176834390623842732352935761108E0),
L(1.207150003611117689000664385596211076662E2),
L(2.119260779316389904742873816462800103939E3),
L(1.562942227734663441801452930916044224174E4),
L(5.656779189549710079988084081145693580479E4),
L(1.052166241021481691922831746350942786299E5),
L(9.949798524786000595621602790068349165758E4),
L(4.491790734080265043407035220188849562856E4),
L(8.377074098301530326270432059434791287601E3),
L(4.506934806567986810091824791963991057083E2)
};
#define NRDr6 9
static const _Float128 RDr6[NRDr6 + 1] =
{
-1.664557643928263091879301304019826629067E2L,
-3.800035902507656624590531122291160668452E3L,
-3.277028191591734928360050685359277076056E4L,
-1.381359471502885446400589109566587443987E5L,
-3.082204287382581873532528989283748656546E5L,
-3.691071488256738343008271448234631037095E5L,
-2.300482443038349815750714219117566715043E5L,
-6.873955300927636236692803579555752171530E4L,
-8.262158817978334142081581542749986845399E3L,
-2.517122254384430859629423488157361983661E2L
L(-1.664557643928263091879301304019826629067E2),
L(-3.800035902507656624590531122291160668452E3),
L(-3.277028191591734928360050685359277076056E4),
L(-1.381359471502885446400589109566587443987E5),
L(-3.082204287382581873532528989283748656546E5),
L(-3.691071488256738343008271448234631037095E5),
L(-2.300482443038349815750714219117566715043E5),
L(-6.873955300927636236692803579555752171530E4),
L(-8.262158817978334142081581542749986845399E3),
L(-2.517122254384430859629423488157361983661E2)
/* 1.00 */
};
@ -581,31 +581,31 @@ static const _Float128 RDr6[NRDr6 + 1] =
#define NRNr5 10
static const _Float128 RNr5[NRNr5 + 1] =
{
-3.332258927455285458355550878136506961608E-3L,
-2.697100758900280402659586595884478660721E-1L,
-6.083328551139621521416618424949137195536E0L,
-6.119863528983308012970821226810162441263E1L,
-3.176535282475593173248810678636522589861E2L,
-8.933395175080560925809992467187963260693E2L,
-1.360019508488475978060917477620199499560E3L,
-1.075075579828188621541398761300910213280E3L,
-4.017346561586014822824459436695197089916E2L,
-5.857581368145266249509589726077645791341E1L,
-2.077715925587834606379119585995758954399E0L
L(-3.332258927455285458355550878136506961608E-3),
L(-2.697100758900280402659586595884478660721E-1),
L(-6.083328551139621521416618424949137195536E0),
L(-6.119863528983308012970821226810162441263E1),
L(-3.176535282475593173248810678636522589861E2),
L(-8.933395175080560925809992467187963260693E2),
L(-1.360019508488475978060917477620199499560E3),
L(-1.075075579828188621541398761300910213280E3),
L(-4.017346561586014822824459436695197089916E2),
L(-5.857581368145266249509589726077645791341E1),
L(-2.077715925587834606379119585995758954399E0)
};
#define NRDr5 9
static const _Float128 RDr5[NRDr5 + 1] =
{
3.377879570417399341550710467744693125385E-1L,
1.021963322742390735430008860602594456187E1L,
1.200847646592942095192766255154827011939E2L,
7.118915528142927104078182863387116942836E2L,
2.318159380062066469386544552429625026238E3L,
4.238729853534009221025582008928765281620E3L,
4.279114907284825886266493994833515580782E3L,
2.257277186663261531053293222591851737504E3L,
5.570475501285054293371908382916063822957E2L,
5.142189243856288981145786492585432443560E1L
L(3.377879570417399341550710467744693125385E-1),
L(1.021963322742390735430008860602594456187E1),
L(1.200847646592942095192766255154827011939E2),
L(7.118915528142927104078182863387116942836E2),
L(2.318159380062066469386544552429625026238E3),
L(4.238729853534009221025582008928765281620E3),
L(4.279114907284825886266493994833515580782E3),
L(2.257277186663261531053293222591851737504E3),
L(5.570475501285054293371908382916063822957E2),
L(5.142189243856288981145786492585432443560E1)
/* 1.0E0 */
};
@ -615,32 +615,32 @@ static const _Float128 RDr5[NRDr5 + 1] =
#define NRNr4 10
static const _Float128 RNr4[NRNr4 + 1] =
{
3.258530712024527835089319075288494524465E-3L,
2.987056016877277929720231688689431056567E-1L,
8.738729089340199750734409156830371528862E0L,
1.207211160148647782396337792426311125923E2L,
8.997558632489032902250523945248208224445E2L,
3.798025197699757225978410230530640879762E3L,
9.113203668683080975637043118209210146846E3L,
1.203285891339933238608683715194034900149E4L,
8.100647057919140328536743641735339740855E3L,
2.383888249907144945837976899822927411769E3L,
2.127493573166454249221983582495245662319E2L
L(3.258530712024527835089319075288494524465E-3),
L(2.987056016877277929720231688689431056567E-1),
L(8.738729089340199750734409156830371528862E0),
L(1.207211160148647782396337792426311125923E2),
L(8.997558632489032902250523945248208224445E2),
L(3.798025197699757225978410230530640879762E3),
L(9.113203668683080975637043118209210146846E3),
L(1.203285891339933238608683715194034900149E4),
L(8.100647057919140328536743641735339740855E3),
L(2.383888249907144945837976899822927411769E3),
L(2.127493573166454249221983582495245662319E2)
};
#define NRDr4 10
static const _Float128 RDr4[NRDr4 + 1] =
{
-3.303141981514540274165450687270180479586E-1L,
-1.353768629363605300707949368917687066724E1L,
-2.206127630303621521950193783894598987033E2L,
-1.861800338758066696514480386180875607204E3L,
-8.889048775872605708249140016201753255599E3L,
-2.465888106627948210478692168261494857089E4L,
-3.934642211710774494879042116768390014289E4L,
-3.455077258242252974937480623730228841003E4L,
-1.524083977439690284820586063729912653196E4L,
-2.810541887397984804237552337349093953857E3L,
-1.343929553541159933824901621702567066156E2L
L(-3.303141981514540274165450687270180479586E-1),
L(-1.353768629363605300707949368917687066724E1),
L(-2.206127630303621521950193783894598987033E2),
L(-1.861800338758066696514480386180875607204E3),
L(-8.889048775872605708249140016201753255599E3),
L(-2.465888106627948210478692168261494857089E4),
L(-3.934642211710774494879042116768390014289E4),
L(-3.455077258242252974937480623730228841003E4),
L(-1.524083977439690284820586063729912653196E4),
L(-2.810541887397984804237552337349093953857E3),
L(-1.343929553541159933824901621702567066156E2)
/* 1.0E0 */
};
@ -650,33 +650,33 @@ static const _Float128 RDr4[NRDr4 + 1] =
#define NRNr3 11
static const _Float128 RNr3[NRNr3 + 1] =
{
-1.952401126551202208698629992497306292987E-6L,
-2.130881743066372952515162564941682716125E-4L,
-8.376493958090190943737529486107282224387E-3L,
-1.650592646560987700661598877522831234791E-1L,
-1.839290818933317338111364667708678163199E0L,
-1.216278715570882422410442318517814388470E1L,
-4.818759344462360427612133632533779091386E1L,
-1.120994661297476876804405329172164436784E2L,
-1.452850765662319264191141091859300126931E2L,
-9.485207851128957108648038238656777241333E1L,
-2.563663855025796641216191848818620020073E1L,
-1.787995944187565676837847610706317833247E0L
L(-1.952401126551202208698629992497306292987E-6),
L(-2.130881743066372952515162564941682716125E-4),
L(-8.376493958090190943737529486107282224387E-3),
L(-1.650592646560987700661598877522831234791E-1),
L(-1.839290818933317338111364667708678163199E0),
L(-1.216278715570882422410442318517814388470E1),
L(-4.818759344462360427612133632533779091386E1),
L(-1.120994661297476876804405329172164436784E2),
L(-1.452850765662319264191141091859300126931E2),
L(-9.485207851128957108648038238656777241333E1),
L(-2.563663855025796641216191848818620020073E1),
L(-1.787995944187565676837847610706317833247E0)
};
#define NRDr3 10
static const _Float128 RDr3[NRDr3 + 1] =
{
1.979130686770349481460559711878399476903E-4L,
1.156941716128488266238105813374635099057E-2L,
2.752657634309886336431266395637285974292E-1L,
3.482245457248318787349778336603569327521E0L,
2.569347069372696358578399521203959253162E1L,
1.142279000180457419740314694631879921561E2L,
3.056503977190564294341422623108332700840E2L,
4.780844020923794821656358157128719184422E2L,
4.105972727212554277496256802312730410518E2L,
1.724072188063746970865027817017067646246E2L,
2.815939183464818198705278118326590370435E1L
L(1.979130686770349481460559711878399476903E-4),
L(1.156941716128488266238105813374635099057E-2),
L(2.752657634309886336431266395637285974292E-1),
L(3.482245457248318787349778336603569327521E0),
L(2.569347069372696358578399521203959253162E1),
L(1.142279000180457419740314694631879921561E2),
L(3.056503977190564294341422623108332700840E2),
L(4.780844020923794821656358157128719184422E2),
L(4.105972727212554277496256802312730410518E2),
L(1.724072188063746970865027817017067646246E2),
L(2.815939183464818198705278118326590370435E1)
/* 1.0E0 */
};
@ -686,33 +686,33 @@ static const _Float128 RDr3[NRDr3 + 1] =
#define NRNr2 11
static const _Float128 RNr2[NRNr2 + 1] =
{
-2.638914383420287212401687401284326363787E-8L,
-3.479198370260633977258201271399116766619E-6L,
-1.783985295335697686382487087502222519983E-4L,
-4.777876933122576014266349277217559356276E-3L,
-7.450634738987325004070761301045014986520E-2L,
-7.068318854874733315971973707247467326619E-1L,
-4.113919921935944795764071670806867038732E0L,
-1.440447573226906222417767283691888875082E1L,
-2.883484031530718428417168042141288943905E1L,
-2.990886974328476387277797361464279931446E1L,
-1.325283914915104866248279787536128997331E1L,
-1.572436106228070195510230310658206154374E0L
L(-2.638914383420287212401687401284326363787E-8),
L(-3.479198370260633977258201271399116766619E-6),
L(-1.783985295335697686382487087502222519983E-4),
L(-4.777876933122576014266349277217559356276E-3),
L(-7.450634738987325004070761301045014986520E-2),
L(-7.068318854874733315971973707247467326619E-1),
L(-4.113919921935944795764071670806867038732E0),
L(-1.440447573226906222417767283691888875082E1),
L(-2.883484031530718428417168042141288943905E1),
L(-2.990886974328476387277797361464279931446E1),
L(-1.325283914915104866248279787536128997331E1),
L(-1.572436106228070195510230310658206154374E0)
};
#define NRDr2 10
static const _Float128 RDr2[NRDr2 + 1] =
{
2.675042728136731923554119302571867799673E-6L,
2.170997868451812708585443282998329996268E-4L,
7.249969752687540289422684951196241427445E-3L,
1.302040375859768674620410563307838448508E-1L,
1.380202483082910888897654537144485285549E0L,
8.926594113174165352623847870299170069350E0L,
3.521089584782616472372909095331572607185E1L,
8.233547427533181375185259050330809105570E1L,
1.072971579885803033079469639073292840135E2L,
6.943803113337964469736022094105143158033E1L,
1.775695341031607738233608307835017282662E1L
L(2.675042728136731923554119302571867799673E-6),
L(2.170997868451812708585443282998329996268E-4),
L(7.249969752687540289422684951196241427445E-3),
L(1.302040375859768674620410563307838448508E-1),
L(1.380202483082910888897654537144485285549E0),
L(8.926594113174165352623847870299170069350E0),
L(3.521089584782616472372909095331572607185E1),
L(8.233547427533181375185259050330809105570E1),
L(1.072971579885803033079469639073292840135E2),
L(6.943803113337964469736022094105143158033E1),
L(1.775695341031607738233608307835017282662E1)
/* 1.0E0 */
};
@ -722,29 +722,29 @@ static const _Float128 RDr2[NRDr2 + 1] =
#define NRNr1 9
static const _Float128 RNr1[NRNr1 + 1] =
{
-4.250780883202361946697751475473042685782E-8L,
-5.375777053288612282487696975623206383019E-6L,
-2.573645949220896816208565944117382460452E-4L,
-6.199032928113542080263152610799113086319E-3L,
-8.262721198693404060380104048479916247786E-2L,
-6.242615227257324746371284637695778043982E-1L,
-2.609874739199595400225113299437099626386E0L,
-5.581967563336676737146358534602770006970E0L,
-5.124398923356022609707490956634280573882E0L,
-1.290865243944292370661544030414667556649E0L
L(-4.250780883202361946697751475473042685782E-8),
L(-5.375777053288612282487696975623206383019E-6),
L(-2.573645949220896816208565944117382460452E-4),
L(-6.199032928113542080263152610799113086319E-3),
L(-8.262721198693404060380104048479916247786E-2),
L(-6.242615227257324746371284637695778043982E-1),
L(-2.609874739199595400225113299437099626386E0),
L(-5.581967563336676737146358534602770006970E0),
L(-5.124398923356022609707490956634280573882E0),
L(-1.290865243944292370661544030414667556649E0)
};
#define NRDr1 8
static const _Float128 RDr1[NRDr1 + 1] =
{
4.308976661749509034845251315983612976224E-6L,
3.265390126432780184125233455960049294580E-4L,
9.811328839187040701901866531796570418691E-3L,
1.511222515036021033410078631914783519649E-1L,
1.289264341917429958858379585970225092274E0L,
6.147640356182230769548007536914983522270E0L,
1.573966871337739784518246317003956180750E1L,
1.955534123435095067199574045529218238263E1L,
9.472613121363135472247929109615785855865E0L
L(4.308976661749509034845251315983612976224E-6),
L(3.265390126432780184125233455960049294580E-4),
L(9.811328839187040701901866531796570418691E-3),
L(1.511222515036021033410078631914783519649E-1),
L(1.289264341917429958858379585970225092274E0),
L(6.147640356182230769548007536914983522270E0),
L(1.573966871337739784518246317003956180750E1),
L(1.955534123435095067199574045529218238263E1),
L(9.472613121363135472247929109615785855865E0)
/* 1.0E0 */
};
@ -835,48 +835,48 @@ __erfcl (_Float128 x)
switch (i)
{
case 2:
z = x - 0.25L;
z = x - L(0.25);
y = C13b + z * neval (z, RNr13, NRNr13) / deval (z, RDr13, NRDr13);
y += C13a;
break;
case 3:
z = x - 0.375L;
z = x - L(0.375);
y = C14b + z * neval (z, RNr14, NRNr14) / deval (z, RDr14, NRDr14);
y += C14a;
break;
case 4:
z = x - 0.5L;
z = x - L(0.5);
y = C15b + z * neval (z, RNr15, NRNr15) / deval (z, RDr15, NRDr15);
y += C15a;
break;
case 5:
z = x - 0.625L;
z = x - L(0.625);
y = C16b + z * neval (z, RNr16, NRNr16) / deval (z, RDr16, NRDr16);
y += C16a;
break;
case 6:
z = x - 0.75L;
z = x - L(0.75);
y = C17b + z * neval (z, RNr17, NRNr17) / deval (z, RDr17, NRDr17);
y += C17a;
break;
case 7:
z = x - 0.875L;
z = x - L(0.875);
y = C18b + z * neval (z, RNr18, NRNr18) / deval (z, RDr18, NRDr18);
y += C18a;
break;
case 8:
z = x - 1.0L;
z = x - 1;
y = C19b + z * neval (z, RNr19, NRNr19) / deval (z, RDr19, NRDr19);
y += C19a;
break;
default: /* i == 9. */
z = x - 1.125L;
z = x - L(1.125);
y = C20b + z * neval (z, RNr20, NRNr20) / deval (z, RDr20, NRDr20);
y += C20a;
break;
}
if (sign & 0x80000000)
y = 2.0L - y;
y = 2 - y;
return y;
}
/* 1.25 < |x| < 107 */

46
sysdeps/ieee754/ldbl-128/s_expm1l.c
View File

@ -63,29 +63,29 @@
Theoretical peak relative error = 8.1e-36 */
static const _Float128
P0 = 2.943520915569954073888921213330863757240E8L,
P1 = -5.722847283900608941516165725053359168840E7L,
P2 = 8.944630806357575461578107295909719817253E6L,
P3 = -7.212432713558031519943281748462837065308E5L,
P4 = 4.578962475841642634225390068461943438441E4L,
P5 = -1.716772506388927649032068540558788106762E3L,
P6 = 4.401308817383362136048032038528753151144E1L,
P7 = -4.888737542888633647784737721812546636240E-1L,
Q0 = 1.766112549341972444333352727998584753865E9L,
Q1 = -7.848989743695296475743081255027098295771E8L,
Q2 = 1.615869009634292424463780387327037251069E8L,
Q3 = -2.019684072836541751428967854947019415698E7L,
Q4 = 1.682912729190313538934190635536631941751E6L,
Q5 = -9.615511549171441430850103489315371768998E4L,
Q6 = 3.697714952261803935521187272204485251835E3L,
Q7 = -8.802340681794263968892934703309274564037E1L,
P0 = L(2.943520915569954073888921213330863757240E8),
P1 = L(-5.722847283900608941516165725053359168840E7),
P2 = L(8.944630806357575461578107295909719817253E6),
P3 = L(-7.212432713558031519943281748462837065308E5),
P4 = L(4.578962475841642634225390068461943438441E4),
P5 = L(-1.716772506388927649032068540558788106762E3),
P6 = L(4.401308817383362136048032038528753151144E1),
P7 = L(-4.888737542888633647784737721812546636240E-1),
Q0 = L(1.766112549341972444333352727998584753865E9),
Q1 = L(-7.848989743695296475743081255027098295771E8),
Q2 = L(1.615869009634292424463780387327037251069E8),
Q3 = L(-2.019684072836541751428967854947019415698E7),
Q4 = L(1.682912729190313538934190635536631941751E6),
Q5 = L(-9.615511549171441430850103489315371768998E4),
Q6 = L(3.697714952261803935521187272204485251835E3),
Q7 = L(-8.802340681794263968892934703309274564037E1),
/* Q8 = 1.000000000000000000000000000000000000000E0 */
/* C1 + C2 = ln 2 */
C1 = 6.93145751953125E-1L,
C2 = 1.428606820309417232121458176568075500134E-6L,
C1 = L(6.93145751953125E-1),
C2 = L(1.428606820309417232121458176568075500134E-6),
/* ln 2^-114 */
minarg = -7.9018778583833765273564461846232128760607E1L, big = 1e4932L;
minarg = L(-7.9018778583833765273564461846232128760607E1), big = L(1e4932);
_Float128
@ -110,7 +110,7 @@ __expm1l (_Float128 x)
{
/* Infinity (which must be negative infinity). */
if (((ix & 0xffff) | u.parts32.w1 | u.parts32.w2 | u.parts32.w3) == 0)
return -1.0L;
return -1;
/* NaN. Invalid exception if signaling. */
return x + x;
}
@ -121,12 +121,12 @@ __expm1l (_Float128 x)
/* Minimum value. */
if (x < minarg)
return (4.0/big - 1.0L);
return (4.0/big - 1);
/* Avoid internal underflow when result does not underflow, while
ensuring underflow (without returning a zero of the wrong sign)
when the result does underflow. */
if (fabsl (x) < 0x1p-113L)
if (fabsl (x) < L(0x1p-113))
{
math_check_force_underflow (x);
return x;
@ -158,7 +158,7 @@ __expm1l (_Float128 x)
exp(x) - 1 = 2^k (qx + 1) - 1
= 2^k qx + 2^k - 1. */
px = __ldexpl (1.0L, k);
px = __ldexpl (1, k);
x = px * qx + (px - 1.0);
return x;
}

28
sysdeps/ieee754/ldbl-128/s_fmal.c
View File

@ -75,7 +75,7 @@ __fmal (_Float128 x, _Float128 y, _Float128 z)
< IEEE854_LONG_DOUBLE_BIAS - LDBL_MANT_DIG - 2)
{
int neg = u.ieee.negative ^ v.ieee.negative;
_Float128 tiny = neg ? -0x1p-16494L : 0x1p-16494L;
_Float128 tiny = neg ? L(-0x1p-16494) : L(0x1p-16494);
if (w.ieee.exponent >= 3)
return tiny + z;
/* Scaling up, adding TINY and scaling down produces the
@ -83,7 +83,7 @@ __fmal (_Float128 x, _Float128 y, _Float128 z)
TINY has no effect and in other modes double rounding is
harmless. But it may not produce required underflow
exceptions. */
v.d = z * 0x1p114L + tiny;
v.d = z * L(0x1p114) + tiny;
if (TININESS_AFTER_ROUNDING
? v.ieee.exponent < 115
: (w.ieee.exponent == 0
@ -97,7 +97,7 @@ __fmal (_Float128 x, _Float128 y, _Float128 z)
_Float128 force_underflow = x * y;
math_force_eval (force_underflow);
}
return v.d * 0x1p-114L;
return v.d * L(0x1p-114);
}
if (u.ieee.exponent + v.ieee.exponent
>= 0x7fff + IEEE854_LONG_DOUBLE_BIAS - LDBL_MANT_DIG)
@ -144,7 +144,7 @@ __fmal (_Float128 x, _Float128 y, _Float128 z)
if (v.ieee.exponent)
v.ieee.exponent += LDBL_MANT_DIG;
else
v.d *= 0x1p113L;
v.d *= L(0x1p113);
}
else if (v.ieee.exponent >= 0x7fff - LDBL_MANT_DIG)
{
@ -152,7 +152,7 @@ __fmal (_Float128 x, _Float128 y, _Float128 z)
if (u.ieee.exponent)
u.ieee.exponent += LDBL_MANT_DIG;
else
u.d *= 0x1p113L;
u.d *= L(0x1p113);
}
else /* if (u.ieee.exponent + v.ieee.exponent
<= IEEE854_LONG_DOUBLE_BIAS + LDBL_MANT_DIG) */
@ -166,7 +166,7 @@ __fmal (_Float128 x, _Float128 y, _Float128 z)
if (w.ieee.exponent)
w.ieee.exponent += 2 * LDBL_MANT_DIG + 2;
else
w.d *= 0x1p228L;
w.d *= L(0x1p228);
adjust = -1;
}
/* Otherwise x * y should just affect inexact
@ -238,7 +238,7 @@ __fmal (_Float128 x, _Float128 y, _Float128 z)
u.ieee.mantissa3 |= fetestexcept (FE_INEXACT) != 0;
feupdateenv (&env);
/* Result is a1 + u.d, scaled up. */
return (a1 + u.d) * 0x1p113L;
return (a1 + u.d) * L(0x1p113);
}
else
{
@ -255,11 +255,11 @@ __fmal (_Float128 x, _Float128 y, _Float128 z)
/* If a1 + u.d is exact, the only rounding happens during
scaling down. */
if (j == 0)
return v.d * 0x1p-228L;
return v.d * L(0x1p-228);
/* If result rounded to zero is not subnormal, no double
rounding will occur. */
if (v.ieee.exponent > 228)
return (a1 + u.d) * 0x1p-228L;
return (a1 + u.d) * L(0x1p-228);
/* If v.d * 0x1p-228L with round to zero is a subnormal above
or equal to LDBL_MIN / 2, then v.d * 0x1p-228L shifts mantissa
down just by 1 bit, which means v.ieee.mantissa3 |= j would
@ -278,21 +278,21 @@ __fmal (_Float128 x, _Float128 y, _Float128 z)
{
w.d = a1 + u.d;
if (w.ieee.exponent == 229)
return w.d * 0x1p-228L;
return w.d * L(0x1p-228);
}
/* v.ieee.mantissa3 & 2 is LSB bit of the result before rounding,
v.ieee.mantissa3 & 1 is the round bit and j is our sticky
bit. */
w.d = 0.0L;
w.d = 0;
w.ieee.mantissa3 = ((v.ieee.mantissa3 & 3) << 1) | j;
w.ieee.negative = v.ieee.negative;
v.ieee.mantissa3 &= ~3U;
v.d *= 0x1p-228L;
w.d *= 0x1p-2L;
v.d *= L(0x1p-228);
w.d *= L(0x1p-2);
return v.d + w.d;
}
v.ieee.mantissa3 |= j;
return v.d * 0x1p-228L;
return v.d * L(0x1p-228);
}
}
weak_alias (__fmal, fmal)

2
sysdeps/ieee754/ldbl-128/s_frexpl.c
View File

@ -31,7 +31,7 @@ static char rcsid[] = "$NetBSD: $";
#include <math_private.h>
static const _Float128
two114 = 2.0769187434139310514121985316880384E+34L; /* 0x4071000000000000, 0 */
two114 = L(2.0769187434139310514121985316880384E+34); /* 0x4071000000000000, 0 */
_Float128 __frexpl(_Float128 x, int *eptr)
{

6
sysdeps/ieee754/ldbl-128/s_llrintl.c
View File

@ -28,8 +28,8 @@
static const _Float128 two112[2] =
{
5.19229685853482762853049632922009600E+33L, /* 0x406F000000000000, 0 */
-5.19229685853482762853049632922009600E+33L /* 0xC06F000000000000, 0 */
L(5.19229685853482762853049632922009600E+33), /* 0x406F000000000000, 0 */
L(-5.19229685853482762853049632922009600E+33) /* 0xC06F000000000000, 0 */
};
long long int
@ -84,7 +84,7 @@ __llrintl (_Float128 x)
unspecified. */
#if defined FE_INVALID || defined FE_INEXACT
if (x < (_Float128) LLONG_MIN
&& x > (_Float128) LLONG_MIN - 1.0L)
&& x > (_Float128) LLONG_MIN - 1)
{
/* If truncation produces LLONG_MIN, the cast will not raise
the exception, but may raise "inexact". */

4
sysdeps/ieee754/ldbl-128/s_llroundl.c
View File

@ -79,13 +79,13 @@ __llroundl (_Float128 x)
unspecified. */
#ifdef FE_INVALID
if (FIX_LDBL_LLONG_CONVERT_OVERFLOW
&& !(sign == -1 && x > (_Float128) LLONG_MIN - 0.5L))
&& !(sign == -1 && x > (_Float128) LLONG_MIN - L(0.5)))
{
feraiseexcept (FE_INVALID);
return sign == 1 ? LLONG_MAX : LLONG_MIN;
}
else if (!FIX_LDBL_LLONG_CONVERT_OVERFLOW
&& x <= (_Float128) LLONG_MIN - 0.5L)
&& x <= (_Float128) LLONG_MIN - L(0.5))
{
/* If truncation produces LLONG_MIN, the cast will not raise
the exception, but may raise "inexact". */

108
sysdeps/ieee754/ldbl-128/s_log1pl.c
View File

@ -63,32 +63,32 @@
* relative peak error spread = 2.3e-14
*/
static const _Float128
P12 = 1.538612243596254322971797716843006400388E-6L,
P11 = 4.998469661968096229986658302195402690910E-1L,
P10 = 2.321125933898420063925789532045674660756E1L,
P9 = 4.114517881637811823002128927449878962058E2L,
P8 = 3.824952356185897735160588078446136783779E3L,
P7 = 2.128857716871515081352991964243375186031E4L,
P6 = 7.594356839258970405033155585486712125861E4L,
P5 = 1.797628303815655343403735250238293741397E5L,
P4 = 2.854829159639697837788887080758954924001E5L,
P3 = 3.007007295140399532324943111654767187848E5L,
P2 = 2.014652742082537582487669938141683759923E5L,
P1 = 7.771154681358524243729929227226708890930E4L,
P0 = 1.313572404063446165910279910527789794488E4L,
P12 = L(1.538612243596254322971797716843006400388E-6),
P11 = L(4.998469661968096229986658302195402690910E-1),
P10 = L(2.321125933898420063925789532045674660756E1),
P9 = L(4.114517881637811823002128927449878962058E2),
P8 = L(3.824952356185897735160588078446136783779E3),
P7 = L(2.128857716871515081352991964243375186031E4),
P6 = L(7.594356839258970405033155585486712125861E4),
P5 = L(1.797628303815655343403735250238293741397E5),
P4 = L(2.854829159639697837788887080758954924001E5),
P3 = L(3.007007295140399532324943111654767187848E5),
P2 = L(2.014652742082537582487669938141683759923E5),
P1 = L(7.771154681358524243729929227226708890930E4),
P0 = L(1.313572404063446165910279910527789794488E4),
/* Q12 = 1.000000000000000000000000000000000000000E0L, */
Q11 = 4.839208193348159620282142911143429644326E1L,
Q10 = 9.104928120962988414618126155557301584078E2L,
Q9 = 9.147150349299596453976674231612674085381E3L,
Q8 = 5.605842085972455027590989944010492125825E4L,
Q7 = 2.248234257620569139969141618556349415120E5L,
Q6 = 6.132189329546557743179177159925690841200E5L,
Q5 = 1.158019977462989115839826904108208787040E6L,
Q4 = 1.514882452993549494932585972882995548426E6L,
Q3 = 1.347518538384329112529391120390701166528E6L,
Q2 = 7.777690340007566932935753241556479363645E5L,
Q1 = 2.626900195321832660448791748036714883242E5L,
Q0 = 3.940717212190338497730839731583397586124E4L;
Q11 = L(4.839208193348159620282142911143429644326E1),
Q10 = L(9.104928120962988414618126155557301584078E2),
Q9 = L(9.147150349299596453976674231612674085381E3),
Q8 = L(5.605842085972455027590989944010492125825E4),
Q7 = L(2.248234257620569139969141618556349415120E5),
Q6 = L(6.132189329546557743179177159925690841200E5),
Q5 = L(1.158019977462989115839826904108208787040E6),
Q4 = L(1.514882452993549494932585972882995548426E6),
Q3 = L(1.347518538384329112529391120390701166528E6),
Q2 = L(7.777690340007566932935753241556479363645E5),
Q1 = L(2.626900195321832660448791748036714883242E5),
Q0 = L(3.940717212190338497730839731583397586124E4);
/* Coefficients for log(x) = z + z^3 P(z^2)/Q(z^2),
* where z = 2(x-1)/(x+1)
@ -97,27 +97,27 @@ static const _Float128
* relative peak error spread 1.1e-9
*/
static const _Float128
R5 = -8.828896441624934385266096344596648080902E-1L,
R4 = 8.057002716646055371965756206836056074715E1L,
R3 = -2.024301798136027039250415126250455056397E3L,
R2 = 2.048819892795278657810231591630928516206E4L,
R1 = -8.977257995689735303686582344659576526998E4L,
R0 = 1.418134209872192732479751274970992665513E5L,
R5 = L(-8.828896441624934385266096344596648080902E-1),
R4 = L(8.057002716646055371965756206836056074715E1),
R3 = L(-2.024301798136027039250415126250455056397E3),
R2 = L(2.048819892795278657810231591630928516206E4),
R1 = L(-8.977257995689735303686582344659576526998E4),
R0 = L(1.418134209872192732479751274970992665513E5),
/* S6 = 1.000000000000000000000000000000000000000E0L, */
S5 = -1.186359407982897997337150403816839480438E2L,
S4 = 3.998526750980007367835804959888064681098E3L,
S3 = -5.748542087379434595104154610899551484314E4L,
S2 = 4.001557694070773974936904547424676279307E5L,
S1 = -1.332535117259762928288745111081235577029E6L,
S0 = 1.701761051846631278975701529965589676574E6L;
S5 = L(-1.186359407982897997337150403816839480438E2),
S4 = L(3.998526750980007367835804959888064681098E3),
S3 = L(-5.748542087379434595104154610899551484314E4),
S2 = L(4.001557694070773974936904547424676279307E5),
S1 = L(-1.332535117259762928288745111081235577029E6),
S0 = L(1.701761051846631278975701529965589676574E6);
/* C1 + C2 = ln 2 */
static const _Float128 C1 = 6.93145751953125E-1L;
static const _Float128 C2 = 1.428606820309417232121458176568075500134E-6L;
static const _Float128 C1 = L(6.93145751953125E-1);
static const _Float128 C2 = L(1.428606820309417232121458176568075500134E-6);
static const _Float128 sqrth = 0.7071067811865475244008443621048490392848L;
static const _Float128 sqrth = L(0.7071067811865475244008443621048490392848);
/* ln (2^16384 * (1 - 2^-113)) */
static const _Float128 zero = 0.0L;
static const _Float128 zero = 0;
_Float128
__log1pl (_Float128 xm1)
@ -145,16 +145,16 @@ __log1pl (_Float128 xm1)
return xm1;
}
if (xm1 >= 0x1p113L)
if (xm1 >= L(0x1p113))
x = xm1;
else
x = xm1 + 1.0L;
x = xm1 + 1;
/* log1p(-1) = -inf */
if (x <= 0.0L)
if (x <= 0)
{
if (x == 0.0L)
return (-1.0L / zero); /* log1p(-1) = -inf */
if (x == 0)
return (-1 / zero); /* log1p(-1) = -inf */
else
return (zero / (x - x));
}
@ -171,14 +171,14 @@ __log1pl (_Float128 xm1)
if (x < sqrth)
{ /* 2( 2x-1 )/( 2x+1 ) */
e -= 1;
z = x - 0.5L;
y = 0.5L * z + 0.5L;
z = x - L(0.5);
y = L(0.5) * z + L(0.5);
}
else
{ /* 2 (x-1)/(x+1) */
z = x - 0.5L;
z -= 0.5L;
y = 0.5L * x + 0.5L;
z = x - L(0.5);
z -= L(0.5);
y = L(0.5) * x + L(0.5);
}
x = z / y;
z = x * x;
@ -209,14 +209,14 @@ __log1pl (_Float128 xm1)
{
e -= 1;
if (e != 0)
x = 2.0L * x - 1.0L; /* 2x - 1 */
x = 2 * x - 1; /* 2x - 1 */
else
x = xm1;
}
else
{
if (e != 0)
x = x - 1.0L;
x = x - 1;
else
x = xm1;
}
@ -249,7 +249,7 @@ __log1pl (_Float128 xm1)
+ Q0;
y = x * (z * r / s);
y = y + e * C2;
z = y - 0.5L * z;
z = y - L(0.5) * z;
z = z + x;
z = z + e * C1;
return (z);

6
sysdeps/ieee754/ldbl-128/s_lrintl.c
View File

@ -28,8 +28,8 @@
static const _Float128 two112[2] =
{
5.19229685853482762853049632922009600E+33L, /* 0x406F000000000000, 0 */
-5.19229685853482762853049632922009600E+33L /* 0xC06F000000000000, 0 */
L(5.19229685853482762853049632922009600E+33), /* 0x406F000000000000, 0 */
L(-5.19229685853482762853049632922009600E+33) /* 0xC06F000000000000, 0 */
};
long int
@ -113,7 +113,7 @@ __lrintl (_Float128 x)
unspecified. */
#if defined FE_INVALID || defined FE_INEXACT
if (x < (_Float128) LONG_MIN
&& x > (_Float128) LONG_MIN - 1.0L)
&& x > (_Float128) LONG_MIN - 1)
{
/* If truncation produces LONG_MIN, the cast will not raise
the exception, but may raise "inexact". */

4
sysdeps/ieee754/ldbl-128/s_lroundl.c
View File

@ -88,13 +88,13 @@ __lroundl (_Float128 x)
unspecified. */
#ifdef FE_INVALID
if (FIX_LDBL_LONG_CONVERT_OVERFLOW
&& !(sign == -1 && x > (_Float128) LONG_MIN - 0.5L))
&& !(sign == -1 && x > (_Float128) LONG_MIN - L(0.5)))
{
feraiseexcept (FE_INVALID);
return sign == 1 ? LONG_MAX : LONG_MIN;
}
else if (!FIX_LDBL_LONG_CONVERT_OVERFLOW
&& x <= (_Float128) LONG_MIN - 0.5L)
&& x <= (_Float128) LONG_MIN - L(0.5))
{
/* If truncation produces LONG_MIN, the cast will not raise
the exception, but may raise "inexact". */

4
sysdeps/ieee754/ldbl-128/s_nearbyintl.c
View File

@ -29,8 +29,8 @@
static const _Float128
TWO112[2]={
5.19229685853482762853049632922009600E+33L, /* 0x406F000000000000, 0 */
-5.19229685853482762853049632922009600E+33L /* 0xC06F000000000000, 0 */
L(5.19229685853482762853049632922009600E+33), /* 0x406F000000000000, 0 */
L(-5.19229685853482762853049632922009600E+33) /* 0xC06F000000000000, 0 */
};
_Float128 __nearbyintl(_Float128 x)

6
sysdeps/ieee754/ldbl-128/s_remquol.c
View File

@ -87,7 +87,7 @@ __remquol (_Float128 x, _Float128 y, int *quo)
}
else
{
_Float128 y_half = 0.5L * y;
_Float128 y_half = L(0.5) * y;
if (x > y_half)
{
x -= y;
@ -103,8 +103,8 @@ __remquol (_Float128 x, _Float128 y, int *quo)
*quo = qs ? -cquo : cquo;
/* Ensure correct sign of zero result in round-downward mode. */
if (x == 0.0L)
x = 0.0L;
if (x == 0)
x = 0;
if (sx)
x = -x;
return x;

8
sysdeps/ieee754/ldbl-128/s_scalblnl.c
View File

@ -29,10 +29,10 @@ static char rcsid[] = "$NetBSD: $";
#include <math_private.h>
static const _Float128
two114 = 2.0769187434139310514121985316880384E+34L, /* 0x4071000000000000, 0 */
twom114 = 4.8148248609680896326399448564623183E-35L, /* 0x3F8D000000000000, 0 */
huge = 1.0E+4900L,
tiny = 1.0E-4900L;
two114 = L(2.0769187434139310514121985316880384E+34), /* 0x4071000000000000, 0 */
twom114 = L(4.8148248609680896326399448564623183E-35), /* 0x3F8D000000000000, 0 */
huge = L(1.0E+4900),
tiny = L(1.0E-4900);
_Float128 __scalblnl (_Float128 x, long int n)
{

8
sysdeps/ieee754/ldbl-128/s_scalbnl.c
View File

@ -29,10 +29,10 @@ static char rcsid[] = "$NetBSD: $";
#include <math_private.h>
static const _Float128
two114 = 2.0769187434139310514121985316880384E+34L, /* 0x4071000000000000, 0 */
twom114 = 4.8148248609680896326399448564623183E-35L, /* 0x3F8D000000000000, 0 */
huge = 1.0E+4900L,
tiny = 1.0E-4900L;
two114 = L(2.0769187434139310514121985316880384E+34), /* 0x4071000000000000, 0 */
twom114 = L(4.8148248609680896326399448564623183E-35), /* 0x3F8D000000000000, 0 */
huge = L(1.0E+4900),
tiny = L(1.0E-4900);
_Float128 __scalbnl (_Float128 x, int n)
{

2
sysdeps/ieee754/ldbl-128/s_sincosl.c
View File

@ -34,7 +34,7 @@ __sincosl (_Float128 x, _Float128 *sinx, _Float128 *cosx)
/* |x| ~< pi/4 */
ix &= 0x7fffffffffffffffLL;
if (ix <= 0x3ffe921fb54442d1LL)
__kernel_sincosl (x, 0.0L, sinx, cosx, 0);
__kernel_sincosl (x, 0, sinx, cosx, 0);
else if (ix >= 0x7fff000000000000LL)
{
/* sin(Inf or NaN) is NaN */

2
sysdeps/ieee754/ldbl-128/s_sinl.c
View File

@ -50,7 +50,7 @@
_Float128 __sinl(_Float128 x)
{
_Float128 y[2],z=0.0L;
_Float128 y[2],z=0;
int64_t n, ix;
/* High word of x. */

2
sysdeps/ieee754/ldbl-128/s_tanhl.c
View File

@ -45,7 +45,7 @@
#include <math.h>
#include <math_private.h>
static const _Float128 one = 1.0, two = 2.0, tiny = 1.0e-4900L;
static const _Float128 one = 1.0, two = 2.0, tiny = L(1.0e-4900);
_Float128
__tanhl (_Float128 x)

2
sysdeps/ieee754/ldbl-128/s_tanl.c
View File

@ -50,7 +50,7 @@
_Float128 __tanl(_Float128 x)
{
_Float128 y[2],z=0.0L;
_Float128 y[2],z=0;
int64_t n, ix;
/* High word of x. */

1860
sysdeps/ieee754/ldbl-128/t_expl.h
View File

File diff suppressed because it is too large Load Diff

664
sysdeps/ieee754/ldbl-128/t_sincosl.c
View File

@ -32,665 +32,665 @@ const _Float128 __sincosl_table[] = {
/* x = 1.48437500000000000000000000000000000e-01L 3ffc3000000000000000000000000000 */
/* cos(x) = 0.fd2f5320e1b790209b4dda2f98f79caaa7b873aff1014b0fbc5243766d03cb006bc837c4358 */
9.89003367927322909016887196069562069e-01L, /* 3ffefa5ea641c36f2041369bb45f31ef */
2.15663692029265697782289400027743703e-35L, /* 3f8bcaaa7b873aff1014b0fbc5243767 */
L(9.89003367927322909016887196069562069e-01), /* 3ffefa5ea641c36f2041369bb45f31ef */
L(2.15663692029265697782289400027743703e-35), /* 3f8bcaaa7b873aff1014b0fbc5243767 */
/* sin(x) = 0.25dc50bc95711d0d9787d108fd438cf5959ee0bfb7a1e36e8b1a112968f356657420e9cc9ea */
1.47892995873409608580026675734609314e-01L, /* 3ffc2ee285e4ab88e86cbc3e8847ea1c */
9.74950446464233268291647449768590886e-36L, /* 3f8a9eb2b3dc17f6f43c6dd16342252d */
L(1.47892995873409608580026675734609314e-01), /* 3ffc2ee285e4ab88e86cbc3e8847ea1c */
L(9.74950446464233268291647449768590886e-36), /* 3f8a9eb2b3dc17f6f43c6dd16342252d */
/* x = 1.56250000000000000000000000000000000e-01 3ffc4000000000000000000000000000 */
/* cos(x) = 0.fce1a053e621438b6d60c76e8c45bf0a9dc71aa16f922acc10e95144ec796a249813c9cb649 */
9.87817783816471944100503034363211317e-01L, /* 3ffef9c340a7cc428716dac18edd188b */
4.74271307836705897892468107620526395e-35L, /* 3f8cf854ee38d50b7c915660874a8a27 */
L(9.87817783816471944100503034363211317e-01), /* 3ffef9c340a7cc428716dac18edd188b */
L(4.74271307836705897892468107620526395e-35), /* 3f8cf854ee38d50b7c915660874a8a27 */
/* sin(x) = 0.27d66258bacd96a3eb335b365c87d59438c5142bb56a489e9b8db9d36234ffdebb6bdc22d8e */
1.55614992773556041209920643203516258e-01L, /* 3ffc3eb312c5d66cb51f599ad9b2e43f */
-7.83989563419287980121718050629497270e-36L, /* bf8a4d78e75d7a8952b6ec2c8e48c594 */
L(1.55614992773556041209920643203516258e-01), /* 3ffc3eb312c5d66cb51f599ad9b2e43f */
L(-7.83989563419287980121718050629497270e-36), /* bf8a4d78e75d7a8952b6ec2c8e48c594 */
/* x = 1.64062500000000000000000000000000000e-01 3ffc5000000000000000000000000000 */
/* cos(x) = 0.fc8ffa01ba6807417e05962b0d9fdf1fddb0cc4c07d22e19e08019bffa50a6c7acdb40307a3 */
9.86571908399497588757337407495308409e-01L, /* 3ffef91ff40374d00e82fc0b2c561b40 */
-2.47327949936985362476252401212720725e-35L, /* bf8c070112799d9fc16e8f30fbff3200 */
L(9.86571908399497588757337407495308409e-01), /* 3ffef91ff40374d00e82fc0b2c561b40 */
L(-2.47327949936985362476252401212720725e-35), /* bf8c070112799d9fc16e8f30fbff3200 */
/* sin(x) = 0.29cfd49b8be4f665276cab01cbf0426934906c3dd105473b226e410b1450f62e53ff7c6cce1 */
1.63327491736612850846866172454354370e-01L, /* 3ffc4e7ea4dc5f27b3293b65580e5f82 */
1.81380344301155485770367902300754350e-36L, /* 3f88349a48361ee882a39d913720858a */
L(1.63327491736612850846866172454354370e-01), /* 3ffc4e7ea4dc5f27b3293b65580e5f82 */
L(1.81380344301155485770367902300754350e-36), /* 3f88349a48361ee882a39d913720858a */
/* x = 1.71875000000000000000000000000000000e-01 3ffc6000000000000000000000000000 */
/* cos(x) = 0.fc3a6170f767ac735d63d99a9d439e1db5e59d3ef153a4265d5855850ed82b536bf361b80e3 */
9.85265817718213816204294709759578994e-01L, /* 3ffef874c2e1eecf58e6bac7b3353a87 */
2.26568029505818066141517497778527952e-35L, /* 3f8be1db5e59d3ef153a4265d5855851 */
L(9.85265817718213816204294709759578994e-01), /* 3ffef874c2e1eecf58e6bac7b3353a87 */
L(2.26568029505818066141517497778527952e-35), /* 3f8be1db5e59d3ef153a4265d5855851 */
/* sin(x) = 0.2bc89f9f424de5485de7ce03b2514952b9faf5648c3244d4736feb95dbb9da49f3b58a9253b */
1.71030022031395019281347969239834331e-01L, /* 3ffc5e44fcfa126f2a42ef3e701d928a */
7.01395875187487608875416030203241317e-36L, /* 3f8a2a573f5eac9186489a8e6dfd72bb */
L(1.71030022031395019281347969239834331e-01), /* 3ffc5e44fcfa126f2a42ef3e701d928a */
L(7.01395875187487608875416030203241317e-36), /* 3f8a2a573f5eac9186489a8e6dfd72bb */
/* x = 1.79687500000000000000000000000000000e-01 3ffc7000000000000000000000000000 */
/* cos(x) = 0.fbe0d7f7fef11e70aa43b8abf4f6a457cea20c8f3f676b47781f9821bbe9ce04b3c7b981c0b */
9.83899591489663972178309351416487245e-01L, /* 3ffef7c1afeffde23ce154877157e9ed */
2.73414318948066207810486330723761265e-35L, /* 3f8c22be75106479fb3b5a3bc0fcc10e */
L(9.83899591489663972178309351416487245e-01), /* 3ffef7c1afeffde23ce154877157e9ed */
L(2.73414318948066207810486330723761265e-35), /* 3f8c22be75106479fb3b5a3bc0fcc10e */
/* sin(x) = 0.2dc0bb80b49a97ffb34e8dd1f8db9df7af47ed2dcf58b12c8e7827e048cae929da02c04ecac */
1.78722113535153659375356241864180724e-01L, /* 3ffc6e05dc05a4d4bffd9a746e8fc6dd */
-1.52906926517265103202547561260594148e-36L, /* bf8804285c09691853a769b8c3ec0fdc */
L(1.78722113535153659375356241864180724e-01), /* 3ffc6e05dc05a4d4bffd9a746e8fc6dd */
L(-1.52906926517265103202547561260594148e-36), /* bf8804285c09691853a769b8c3ec0fdc */
/* x = 1.87500000000000000000000000000000000e-01 3ffc8000000000000000000000000000 */
/* cos(x) = 0.fb835efcf670dd2ce6fe7924697eea13ea358867e9cdb3899b783f4f9f43aa5626e8b67b3bc */
9.82473313101255257487327683243622495e-01L, /* 3ffef706bdf9ece1ba59cdfcf248d2fe */
-1.64924358891557584625463868014230342e-35L, /* bf8b5ec15ca779816324c766487c0b06 */
L(9.82473313101255257487327683243622495e-01), /* 3ffef706bdf9ece1ba59cdfcf248d2fe */
L(-1.64924358891557584625463868014230342e-35), /* bf8b5ec15ca779816324c766487c0b06 */
/* sin(x) = 0.2fb8205f75e56a2b56a1c4792f856258769af396e0189ef72c05e4df59a6b00e4b44a6ea515 */
1.86403296762269884552379983103205261e-01L, /* 3ffc7dc102fbaf2b515ab50e23c97c2b */
1.76460304806826780010586715975331753e-36L, /* 3f882c3b4d79cb700c4f7b9602f26fad */
L(1.86403296762269884552379983103205261e-01), /* 3ffc7dc102fbaf2b515ab50e23c97c2b */
L(1.76460304806826780010586715975331753e-36), /* 3f882c3b4d79cb700c4f7b9602f26fad */
/* x = 1.95312500000000000000000000000000000e-01 3ffc9000000000000000000000000000 */
/* cos(x) = 0.fb21f7f5c156696b00ac1fe28ac5fd76674a92b4df80d9c8a46c684399005deccc41386257c */
9.80987069605669190469329896435309665e-01L, /* 3ffef643efeb82acd2d601583fc5158c */
-1.90899259410096419886996331536278461e-36L, /* bf8844cc5ab6a5903f931badc9cbde34 */
L(9.80987069605669190469329896435309665e-01), /* 3ffef643efeb82acd2d601583fc5158c */
L(-1.90899259410096419886996331536278461e-36), /* bf8844cc5ab6a5903f931badc9cbde34 */
/* sin(x) = 0.31aec65df552876f82ece9a2356713246eba6799983d7011b0b3698d6e1da919c15d57c30c1 */
1.94073102892909791156055200214145404e-01L, /* 3ffc8d7632efaa943b7c17674d11ab39 */
-9.67304741051998267208945242944928999e-36L, /* bf8a9b7228b30cccf851fdc9e992ce52 */
L(1.94073102892909791156055200214145404e-01), /* 3ffc8d7632efaa943b7c17674d11ab39 */
L(-9.67304741051998267208945242944928999e-36), /* bf8a9b7228b30cccf851fdc9e992ce52 */
/* x = 2.03125000000000000000000000000000000e-01 3ffca000000000000000000000000000 */
/* cos(x) = 0.fabca467fb3cb8f1d069f01d8ea33ade5bfd68296ecd1cc9f7b7609bbcf3676e726c3301334 */
9.79440951715548359998530954502987493e-01L, /* 3ffef57948cff67971e3a0d3e03b1d46 */
4.42878056591560757066844797290067990e-35L, /* 3f8cd6f2dfeb414b7668e64fbdbb04de */
L(9.79440951715548359998530954502987493e-01), /* 3ffef57948cff67971e3a0d3e03b1d46 */
L(4.42878056591560757066844797290067990e-35), /* 3f8cd6f2dfeb414b7668e64fbdbb04de */
/* sin(x) = 0.33a4a5a19d86246710f602c44df4fa513f4639ce938477aeeabb82e8e0a7ed583a188879fd4 */
2.01731063801638804725038151164000971e-01L, /* 3ffc9d252d0cec31233887b016226fa8 */
-4.27513434754966978435151290617384120e-36L, /* bf896bb02e718c5b1ee21445511f45c8 */
L(2.01731063801638804725038151164000971e-01), /* 3ffc9d252d0cec31233887b016226fa8 */
L(-4.27513434754966978435151290617384120e-36), /* bf896bb02e718c5b1ee21445511f45c8 */
/* x = 2.10937500000000000000000000000000000e-01 3ffcb000000000000000000000000000 */
/* cos(x) = 0.fa5365e8f1d3ca27be1db5d76ae64d983d7470a4ab0f4ccf65a2b8c67a380df949953a09bc1 */
9.77835053797959793331971572944454549e-01L, /* 3ffef4a6cbd1e3a7944f7c3b6baed5cd */
-3.79207422905180416937210853779192702e-35L, /* bf8c933e145c7adaa7859984d2ea39cc */
L(9.77835053797959793331971572944454549e-01), /* 3ffef4a6cbd1e3a7944f7c3b6baed5cd */
L(-3.79207422905180416937210853779192702e-35), /* bf8c933e145c7adaa7859984d2ea39cc */
/* sin(x) = 0.3599b652f40ec999df12a0a4c8561de159c98d4e54555de518b97f48886f715d8df5f4f093e */
2.09376712085993643711890752724881652e-01L, /* 3ffcaccdb297a0764ccef895052642b1 */
-1.59470287344329449965314638482515925e-36L, /* bf880f531b3958d5d5510d73a3405bbc */
L(2.09376712085993643711890752724881652e-01), /* 3ffcaccdb297a0764ccef895052642b1 */
L(-1.59470287344329449965314638482515925e-36), /* bf880f531b3958d5d5510d73a3405bbc */
/* x = 2.18750000000000000000000000000000000e-01 3ffcc000000000000000000000000000 */
/* cos(x) = 0.f9e63e1d9e8b6f6f2e296bae5b5ed9c11fd7fa2fe11e09fc7bde901abed24b6365e72f7db4e */
9.76169473868635276723989035435135534e-01L, /* 3ffef3cc7c3b3d16dede5c52d75cb6be */
-2.87727974249481583047944860626985460e-35L, /* bf8c31f701402e80f70fb01c210b7f2a */
L(9.76169473868635276723989035435135534e-01), /* 3ffef3cc7c3b3d16dede5c52d75cb6be */
L(-2.87727974249481583047944860626985460e-35), /* bf8c31f701402e80f70fb01c210b7f2a */
/* sin(x) = 0.378df09db8c332ce0d2b53d865582e4526ea336c768f68c32b496c6d11c1cd241bb9f1da523 */
2.17009581095010156760578095826055396e-01L, /* 3ffcbc6f84edc6199670695a9ec32ac1 */
1.07356488794216831812829549198201194e-35L, /* 3f8ac8a4dd466d8ed1ed1865692d8da2 */
L(2.17009581095010156760578095826055396e-01), /* 3ffcbc6f84edc6199670695a9ec32ac1 */
L(1.07356488794216831812829549198201194e-35), /* 3f8ac8a4dd466d8ed1ed1865692d8da2 */
/* x = 2.26562500000000000000000000000000000e-01 3ffcd000000000000000000000000000 */
/* cos(x) = 0.f9752eba9fff6b98842beadab054a932fb0f8d5b875ae63d6b2288d09b148921aeb6e52f61b */
9.74444313585988980349711056045434344e-01L, /* 3ffef2ea5d753ffed7310857d5b560a9 */
3.09947905955053419304514538592548333e-35L, /* 3f8c4997d87c6adc3ad731eb59144685 */
L(9.74444313585988980349711056045434344e-01), /* 3ffef2ea5d753ffed7310857d5b560a9 */
L(3.09947905955053419304514538592548333e-35), /* 3f8c4997d87c6adc3ad731eb59144685 */
/* sin(x) = 0.39814cb10513453cb97b21bc1ca6a337b150c21a675ab85503bc09a436a10ab1473934e20c8 */
2.24629204957705292350428549796424820e-01L, /* 3ffccc0a6588289a29e5cbd90de0e535 */
2.42061510849297469844695751870058679e-36L, /* 3f889bd8a8610d33ad5c2a81de04d21b */
L(2.24629204957705292350428549796424820e-01), /* 3ffccc0a6588289a29e5cbd90de0e535 */
L(2.42061510849297469844695751870058679e-36), /* 3f889bd8a8610d33ad5c2a81de04d21b */
/* x = 2.34375000000000000000000000000000000e-01 3ffce000000000000000000000000000 */
/* cos(x) = 0.f90039843324f9b940416c1984b6cbed1fc733d97354d4265788a86150493ce657cae032674 */
9.72659678244912752670913058267565260e-01L, /* 3ffef20073086649f3728082d833096e */
-3.91759231819314904966076958560252735e-35L, /* bf8ca09701c6613465595ecd43babcf5 */
L(9.72659678244912752670913058267565260e-01), /* 3ffef20073086649f3728082d833096e */
L(-3.91759231819314904966076958560252735e-35), /* bf8ca09701c6613465595ecd43babcf5 */
/* sin(x) = 0.3b73c2bf6b4b9f668ef9499c81f0d965087f1753fa64b086e58cb8470515c18c1412f8c2e02 */
2.32235118611511462413930877746235872e-01L, /* 3ffcdb9e15fb5a5cfb3477ca4ce40f87 */
-4.96930483364191020075024624332928910e-36L, /* bf89a6bde03a2b0166d3de469cd1ee3f */
L(2.32235118611511462413930877746235872e-01), /* 3ffcdb9e15fb5a5cfb3477ca4ce40f87 */
L(-4.96930483364191020075024624332928910e-36), /* bf89a6bde03a2b0166d3de469cd1ee3f */
/* x = 2.42187500000000000000000000000000000e-01 3ffcf000000000000000000000000000 */
/* cos(x) = 0.f887604e2c39dbb20e4ec5825059a789ffc95b275ad9954078ba8a28d3fcfe9cc2c1d49697b */
9.70815676770349462947490545785046027e-01L, /* 3ffef10ec09c5873b7641c9d8b04a0b3 */
2.97458820972393859125277682021202860e-35L, /* 3f8c3c4ffe4ad93ad6ccaa03c5d45147 */
L(9.70815676770349462947490545785046027e-01), /* 3ffef10ec09c5873b7641c9d8b04a0b3 */
L(2.97458820972393859125277682021202860e-35), /* 3f8c3c4ffe4ad93ad6ccaa03c5d45147 */
/* sin(x) = 0.3d654aff15cb457a0fca854698aba33039a8a40626609204472d9d40309b626eccc6dff0ffa */
2.39826857830661564441369251810886574e-01L, /* 3ffceb2a57f8ae5a2bd07e542a34c55d */
2.39867036569896287240938444445071448e-36L, /* 3f88981cd45203133049022396cea018 */
L(2.39826857830661564441369251810886574e-01), /* 3ffceb2a57f8ae5a2bd07e542a34c55d */
L(2.39867036569896287240938444445071448e-36), /* 3f88981cd45203133049022396cea018 */
/* x = 2.50000000000000000000000000000000000e-01 3ffd0000000000000000000000000000 */
/* cos(x) = 0.f80aa4fbef750ba783d33cb95f94f8a41426dbe79edc4a023ef9ec13c944551c0795b84fee1 */
9.68912421710644784144595449494189205e-01L, /* 3ffef01549f7deea174f07a67972bf2a */
-5.53634706113461989398873287749326500e-36L, /* bf89d6faf649061848ed7f704184fb0e */
L(9.68912421710644784144595449494189205e-01), /* 3ffef01549f7deea174f07a67972bf2a */
L(-5.53634706113461989398873287749326500e-36), /* bf89d6faf649061848ed7f704184fb0e */
/* sin(x) = 0.3f55dda9e62aed7513bd7b8e6a3d1635dd5676648d7db525898d7086af9330f03c7f285442a */
2.47403959254522929596848704849389203e-01L, /* 3ffcfaaeed4f31576ba89debdc7351e9 */
-7.36487001108599532943597115275811618e-36L, /* bf8a39445531336e50495b4ece51ef2a */
L(2.47403959254522929596848704849389203e-01), /* 3ffcfaaeed4f31576ba89debdc7351e9 */
L(-7.36487001108599532943597115275811618e-36), /* bf8a39445531336e50495b4ece51ef2a */
/* x = 2.57812500000000000000000000000000000e-01 3ffd0800000000000000000000000000 */
/* cos(x) = 0.f78a098069792daabc9ee42591b7c5a68cb1ab822aeb446b3311b4ba5371b8970e2c1547ad7 */
9.66950029230677822008341623610531503e-01L, /* 3ffeef141300d2f25b55793dc84b2370 */
-4.38972214432792412062088059990480514e-35L, /* bf8cd2cb9a72a3eea8a5dca667725a2d */
L(9.66950029230677822008341623610531503e-01), /* 3ffeef141300d2f25b55793dc84b2370 */
L(-4.38972214432792412062088059990480514e-35), /* bf8cd2cb9a72a3eea8a5dca667725a2d */
/* sin(x) = 0.414572fd94556e6473d620271388dd47c0ba050cdb5270112e3e370e8c4705ae006426fb5d5 */
2.54965960415878467487556574864872628e-01L, /* 3ffd0515cbf65155b991cf58809c4e23 */
2.20280377918534721005071688328074154e-35L, /* 3f8bd47c0ba050cdb5270112e3e370e9 */
L(2.54965960415878467487556574864872628e-01), /* 3ffd0515cbf65155b991cf58809c4e23 */
L(2.20280377918534721005071688328074154e-35), /* 3f8bd47c0ba050cdb5270112e3e370e9 */
/* x = 2.65625000000000000000000000000000000e-01 3ffd1000000000000000000000000000 */
/* cos(x) = 0.f7058fde0788dfc805b8fe88789e4f4253e3c50afe8b22f41159620ab5940ff7df9557c0d1f */
9.64928619104771009581074665315748371e-01L, /* 3ffeee0b1fbc0f11bf900b71fd10f13d */
-3.66685832670820775002475545602761113e-35L, /* bf8c85ed60e1d7a80ba6e85f7534efaa */
L(9.64928619104771009581074665315748371e-01), /* 3ffeee0b1fbc0f11bf900b71fd10f13d */
L(-3.66685832670820775002475545602761113e-35), /* bf8c85ed60e1d7a80ba6e85f7534efaa */
/* sin(x) = 0.4334033bcd90d6604f5f36c1d4b84451a87150438275b77470b50e5b968fa7962b5ffb379b7 */
2.62512399769153281450949626395692931e-01L, /* 3ffd0cd00cef364359813d7cdb0752e1 */
3.24923677072031064673177178571821843e-36L, /* 3f89146a1c5410e09d6ddd1c2d4396e6 */
L(2.62512399769153281450949626395692931e-01), /* 3ffd0cd00cef364359813d7cdb0752e1 */
L(3.24923677072031064673177178571821843e-36), /* 3f89146a1c5410e09d6ddd1c2d4396e6 */
/* x = 2.73437500000000000000000000000000000e-01 3ffd1800000000000000000000000000 */
/* cos(x) = 0.f67d3a26af7d07aa4bd6d42af8c0067fefb96d5b46c031eff53627f215ea3242edc3f2e13eb */
9.62848314709379699899701093480214365e-01L, /* 3ffeecfa744d5efa0f5497ada855f180 */
4.88986966383343450799422013051821394e-36L, /* 3f899ffbee5b56d1b00c7bfd4d89fc85 */
L(9.62848314709379699899701093480214365e-01), /* 3ffeecfa744d5efa0f5497ada855f180 */
L(4.88986966383343450799422013051821394e-36), /* 3f899ffbee5b56d1b00c7bfd4d89fc85 */
/* sin(x) = 0.452186aa5377ab20bbf2524f52e3a06a969f47166ab88cf88c111ad12c55941021ef3317a1a */
2.70042816718585031552755063618827102e-01L, /* 3ffd14861aa94ddeac82efc9493d4b8f */
-2.37608892440611310321138680065803162e-35L, /* bf8bf956960b8e99547730773eee52ed */
L(2.70042816718585031552755063618827102e-01), /* 3ffd14861aa94ddeac82efc9493d4b8f */
L(-2.37608892440611310321138680065803162e-35), /* bf8bf956960b8e99547730773eee52ed */
/* x = 2.81250000000000000000000000000000000e-01 3ffd2000000000000000000000000000 */
/* cos(x) = 0.f5f10a7bb77d3dfa0c1da8b57842783280d01ce3c0f82bae3b9d623c168d2e7c29977994451 */
9.60709243015561903066659350581313472e-01L, /* 3ffeebe214f76efa7bf4183b516af085 */
-5.87011558231583960712013351601221840e-36L, /* bf89f35fcbf8c70fc1f5147118a770fa */
L(9.60709243015561903066659350581313472e-01), /* 3ffeebe214f76efa7bf4183b516af085 */
L(-5.87011558231583960712013351601221840e-36), /* bf89f35fcbf8c70fc1f5147118a770fa */
/* sin(x) = 0.470df5931ae1d946076fe0dcff47fe31bb2ede618ebc607821f8462b639e1f4298b5ae87fd3 */
2.77556751646336325922023446828128568e-01L, /* 3ffd1c37d64c6b8765181dbf8373fd20 */
-1.35848595468998128214344668770082997e-36L, /* bf87ce44d1219e71439f87de07b9d49c */
L(2.77556751646336325922023446828128568e-01), /* 3ffd1c37d64c6b8765181dbf8373fd20 */
L(-1.35848595468998128214344668770082997e-36), /* bf87ce44d1219e71439f87de07b9d49c */
/* x = 2.89062500000000000000000000000000000e-01 3ffd2800000000000000000000000000 */
/* cos(x) = 0.f561030ddd7a78960ea9f4a32c6521554995667f5547bafee9ec48b3155cdb0f7fd00509713 */
9.58511534581228627301969408154919822e-01L, /* 3ffeeac2061bbaf4f12c1d53e94658ca */
2.50770779371636481145735089393154404e-35L, /* 3f8c0aaa4cab33faaa3dd7f74f624599 */
L(9.58511534581228627301969408154919822e-01), /* 3ffeeac2061bbaf4f12c1d53e94658ca */
L(2.50770779371636481145735089393154404e-35), /* 3f8c0aaa4cab33faaa3dd7f74f624599 */
/* sin(x) = 0.48f948446abcd6b0f7fccb100e7a1b26eccad880b0d24b59948c7cdd49514d44b933e6985c2 */
2.85053745940547424587763033323252561e-01L, /* 3ffd23e52111aaf35ac3dff32c4039e8 */
2.04269325885902918802700123680403749e-35L, /* 3f8bb26eccad880b0d24b59948c7cdd5 */
L(2.85053745940547424587763033323252561e-01), /* 3ffd23e52111aaf35ac3dff32c4039e8 */
L(2.04269325885902918802700123680403749e-35), /* 3f8bb26eccad880b0d24b59948c7cdd5 */
/* x = 2.96875000000000000000000000000000000e-01 3ffd3000000000000000000000000000 */
/* cos(x) = 0.f4cd261d3e6c15bb369c8758630d2ac00b7ace2a51c0631bfeb39ed158ba924cc91e259c195 */
9.56255323543175296975599942263028361e-01L, /* 3ffee99a4c3a7cd82b766d390eb0c61a */
3.21616572190865997051103645135837207e-35L, /* 3f8c56005bd671528e0318dff59cf68b */
L(9.56255323543175296975599942263028361e-01), /* 3ffee99a4c3a7cd82b766d390eb0c61a */
L(3.21616572190865997051103645135837207e-35), /* 3f8c56005bd671528e0318dff59cf68b */
/* sin(x) = 0.4ae37710fad27c8aa9c4cf96c03519b9ce07dc08a1471775499f05c29f86190aaebaeb9716e */
2.92533342023327543624702326493913423e-01L, /* 3ffd2b8ddc43eb49f22aa7133e5b00d4 */
1.93539408668704450308003687950685128e-35L, /* 3f8b9b9ce07dc08a1471775499f05c2a */
L(2.92533342023327543624702326493913423e-01), /* 3ffd2b8ddc43eb49f22aa7133e5b00d4 */
L(1.93539408668704450308003687950685128e-35), /* 3f8b9b9ce07dc08a1471775499f05c2a */
/* x = 3.04687500000000000000000000000000000e-01 3ffd3800000000000000000000000000 */
/* cos(x) = 0.f43575f94d4f6b272f5fb76b14d2a64ab52df1ee8ddf7c651034e5b2889305a9ea9015d758a */
9.53940747608894733981324795987611623e-01L, /* 3ffee86aebf29a9ed64e5ebf6ed629a5 */
2.88075689052478602008395972924657164e-35L, /* 3f8c3255a96f8f746efbe32881a72d94 */
L(9.53940747608894733981324795987611623e-01), /* 3ffee86aebf29a9ed64e5ebf6ed629a5 */
L(2.88075689052478602008395972924657164e-35), /* 3f8c3255a96f8f746efbe32881a72d94 */
/* sin(x) = 0.4ccc7a50127e1de0cb6b40c302c651f7bded4f9e7702b0471ae0288d091a37391950907202f */
2.99995083378683051163248282011699944e-01L, /* 3ffd3331e94049f877832dad030c0b19 */
1.35174265535697850139283361475571050e-35L, /* 3f8b1f7bded4f9e7702b0471ae0288d1 */
L(2.99995083378683051163248282011699944e-01), /* 3ffd3331e94049f877832dad030c0b19 */
L(1.35174265535697850139283361475571050e-35), /* 3f8b1f7bded4f9e7702b0471ae0288d1 */
/* x = 3.12500000000000000000000000000000000e-01 3ffd4000000000000000000000000000 */
/* cos(x) = 0.f399f500c9e9fd37ae9957263dab8877102beb569f101ee4495350868e5847d181d50d3cca2 */
9.51567948048172202145488217364270962e-01L, /* 3ffee733ea0193d3fa6f5d32ae4c7b57 */
6.36842628598115658308749288799884606e-36L, /* 3f8a0ee2057d6ad3e203dc892a6a10d2 */
L(9.51567948048172202145488217364270962e-01), /* 3ffee733ea0193d3fa6f5d32ae4c7b57 */
L(6.36842628598115658308749288799884606e-36), /* 3f8a0ee2057d6ad3e203dc892a6a10d2 */
/* sin(x) = 0.4eb44a5da74f600207aaa090f0734e288603ffadb3eb2542a46977b105f8547128036dcf7f0 */
3.07438514580380850670502958201982091e-01L, /* 3ffd3ad129769d3d80081eaa8243c1cd */
1.06515172423204645839241099453417152e-35L, /* 3f8ac510c07ff5b67d64a8548d2ef621 */
L(3.07438514580380850670502958201982091e-01), /* 3ffd3ad129769d3d80081eaa8243c1cd */
L(1.06515172423204645839241099453417152e-35), /* 3f8ac510c07ff5b67d64a8548d2ef621 */
/* x = 3.20312500000000000000000000000000000e-01 3ffd4800000000000000000000000000 */
/* cos(x) = 0.f2faa5a1b74e82fd61fa05f9177380e8e69b7b15a945e8e5ae1124bf3d12b0617e03af4fab5 */
9.49137069684463027665847421762105623e-01L, /* 3ffee5f54b436e9d05fac3f40bf22ee7 */
6.84433965991637152250309190468859701e-37L, /* 3f86d1cd36f62b528bd1cb5c22497e7a */
L(9.49137069684463027665847421762105623e-01), /* 3ffee5f54b436e9d05fac3f40bf22ee7 */
L(6.84433965991637152250309190468859701e-37), /* 3f86d1cd36f62b528bd1cb5c22497e7a */
/* sin(x) = 0.509adf9a7b9a5a0f638a8fa3a60a199418859f18b37169a644fdb986c21ecb00133853bc35b */
3.14863181319745250865036315126939016e-01L, /* 3ffd426b7e69ee69683d8e2a3e8e9828 */
1.92431240212432926993057705062834160e-35L, /* 3f8b99418859f18b37169a644fdb986c */
L(3.14863181319745250865036315126939016e-01), /* 3ffd426b7e69ee69683d8e2a3e8e9828 */
L(1.92431240212432926993057705062834160e-35), /* 3f8b99418859f18b37169a644fdb986c */
/* x = 3.28125000000000000000000000000000000e-01 3ffd5000000000000000000000000000 */
/* cos(x) = 0.f2578a595224dd2e6bfa2eb2f99cc674f5ea6f479eae2eb580186897ae3f893df1113ca06b8 */
9.46648260886053321846099507295532976e-01L, /* 3ffee4af14b2a449ba5cd7f45d65f33a */
-4.32906339663000890941529420498824645e-35L, /* bf8ccc5850ac85c30a8e8a53ff3cbb43 */
L(9.46648260886053321846099507295532976e-01), /* 3ffee4af14b2a449ba5cd7f45d65f33a */
L(-4.32906339663000890941529420498824645e-35), /* bf8ccc5850ac85c30a8e8a53ff3cbb43 */
/* sin(x) = 0.5280326c3cf481823ba6bb08eac82c2093f2bce3c4eb4ee3dec7df41c92c8a4226098616075 */
3.22268630433386625687745919893188031e-01L, /* 3ffd4a00c9b0f3d20608ee9aec23ab21 */
-1.49505897804759263483853908335500228e-35L, /* bf8b3df6c0d431c3b14b11c213820be3 */
L(3.22268630433386625687745919893188031e-01), /* 3ffd4a00c9b0f3d20608ee9aec23ab21 */
L(-1.49505897804759263483853908335500228e-35), /* bf8b3df6c0d431c3b14b11c213820be3 */
/* x = 3.35937500000000000000000000000000000e-01 3ffd5800000000000000000000000000 */
/* cos(x) = 0.f1b0a5b406b526d886c55feadc8d0dcc8eb9ae2ac707051771b48e05b25b000009660bdb3e3 */
9.44101673557004345630017691253124860e-01L, /* 3ffee3614b680d6a4db10d8abfd5b91a */
1.03812535240120229609822461172145584e-35L, /* 3f8ab991d735c558e0e0a2ee3691c0b6 */
L(9.44101673557004345630017691253124860e-01), /* 3ffee3614b680d6a4db10d8abfd5b91a */
L(1.03812535240120229609822461172145584e-35), /* 3f8ab991d735c558e0e0a2ee3691c0b6 */
/* sin(x) = 0.54643b3da29de9b357155eef0f332fb3e66c83bf4dddd9491c5eb8e103ccd92d6175220ed51 */
3.29654409930860171914317725126463176e-01L, /* 3ffd5190ecf68a77a6cd5c557bbc3ccd */
-1.22606996784743214973082192294232854e-35L, /* bf8b04c19937c40b22226b6e3a1471f0 */
L(3.29654409930860171914317725126463176e-01), /* 3ffd5190ecf68a77a6cd5c557bbc3ccd */
L(-1.22606996784743214973082192294232854e-35), /* bf8b04c19937c40b22226b6e3a1471f0 */
/* x = 3.43750000000000000000000000000000000e-01 3ffd6000000000000000000000000000 */
/* cos(x) = 0.f105fa4d66b607a67d44e042725204435142ac8ad54dfb0907a4f6b56b06d98ee60f19e557a */
9.41497463127881068644511236053670815e-01L, /* 3ffee20bf49acd6c0f4cfa89c084e4a4 */
3.20709366603165602071590241054884900e-36L, /* 3f8910d450ab22b5537ec241e93dad5b */
L(9.41497463127881068644511236053670815e-01), /* 3ffee20bf49acd6c0f4cfa89c084e4a4 */
L(3.20709366603165602071590241054884900e-36), /* 3f8910d450ab22b5537ec241e93dad5b */
/* sin(x) = 0.5646f27e8bd65cbe3a5d61ff06572290ee826d9674a00246b05ae26753cdfc90d9ce81a7d02 */
3.37020069022253076261281754173810024e-01L, /* 3ffd591bc9fa2f5972f8e97587fc195d */
-2.21435756148839473677777545049890664e-35L, /* bf8bd6f117d92698b5ffdb94fa51d98b */
L(3.37020069022253076261281754173810024e-01), /* 3ffd591bc9fa2f5972f8e97587fc195d */
L(-2.21435756148839473677777545049890664e-35), /* bf8bd6f117d92698b5ffdb94fa51d98b */
/* x = 3.51562500000000000000000000000000000e-01 3ffd6800000000000000000000000000 */
/* cos(x) = 0.f0578ad01ede707fa39c09dc6b984afef74f3dc8d0efb0f4c5a6b13771145b3e0446fe33887 */
9.38835788546265488632578305984712554e-01L, /* 3ffee0af15a03dbce0ff473813b8d731 */
-3.98758068773974031348585072752245458e-35L, /* bf8ca808458611b978827859d2ca7644 */
L(9.38835788546265488632578305984712554e-01), /* 3ffee0af15a03dbce0ff473813b8d731 */
L(-3.98758068773974031348585072752245458e-35), /* bf8ca808458611b978827859d2ca7644 */
/* sin(x) = 0.582850a41e1dd46c7f602ea244cdbbbfcdfa8f3189be794dda427ce090b5f85164f1f80ac13 */
3.44365158145698408207172046472223747e-01L, /* 3ffd60a14290787751b1fd80ba891337 */
-3.19791885005480924937758467594051927e-36L, /* bf89100c815c339d9061ac896f60c7dc */
L(3.44365158145698408207172046472223747e-01), /* 3ffd60a14290787751b1fd80ba891337 */
L(-3.19791885005480924937758467594051927e-36), /* bf89100c815c339d9061ac896f60c7dc */
/* x = 3.59375000000000000000000000000000000e-01 3ffd7000000000000000000000000000 */
/* cos(x) = 0.efa559f5ec3aec3a4eb03319278a2d41fcf9189462261125fe6147b078f1daa0b06750a1654 */
9.36116812267055290294237411019508588e-01L, /* 3ffedf4ab3ebd875d8749d6066324f14 */
3.40481591236710658435409862439032162e-35L, /* 3f8c6a0fe7c8c4a31130892ff30a3d84 */
L(9.36116812267055290294237411019508588e-01), /* 3ffedf4ab3ebd875d8749d6066324f14 */
L(3.40481591236710658435409862439032162e-35), /* 3f8c6a0fe7c8c4a31130892ff30a3d84 */
/* sin(x) = 0.5a084e28e35fda2776dfdbbb5531d74ced2b5d17c0b1afc4647529d50c295e36d8ceec126c1 */
3.51689228994814059222584896955547016e-01L, /* 3ffd682138a38d7f689ddb7f6eed54c7 */
1.75293433418270210567525412802083294e-35L, /* 3f8b74ced2b5d17c0b1afc4647529d51 */
L(3.51689228994814059222584896955547016e-01), /* 3ffd682138a38d7f689ddb7f6eed54c7 */
L(1.75293433418270210567525412802083294e-35), /* 3f8b74ced2b5d17c0b1afc4647529d51 */
/* x = 3.67187500000000000000000000000000000e-01 3ffd7800000000000000000000000000 */
/* cos(x) = 0.eeef6a879146af0bf9b95ea2ea0ac0d3e2e4d7e15d93f48cbd41bf8e4fded40bef69e19eafa */
9.33340700242548435655299229469995527e-01L, /* 3ffeddded50f228d5e17f372bd45d416 */
-4.75255707251679831124800898831382223e-35L, /* bf8cf960e8d940f513605b9a15f2038e */
L(9.33340700242548435655299229469995527e-01), /* 3ffeddded50f228d5e17f372bd45d416 */
L(-4.75255707251679831124800898831382223e-35), /* bf8cf960e8d940f513605b9a15f2038e */
/* sin(x) = 0.5be6e38ce8095542bc14ee9da0d36483e6734bcab2e07624188af5653f114eeb46738fa899d */
3.58991834546065053677710299152868941e-01L, /* 3ffd6f9b8e33a025550af053ba76834e */
-2.06772389262723368139416970257112089e-35L, /* bf8bb7c198cb4354d1f89dbe7750a9ac */
L(3.58991834546065053677710299152868941e-01), /* 3ffd6f9b8e33a025550af053ba76834e */
L(-2.06772389262723368139416970257112089e-35), /* bf8bb7c198cb4354d1f89dbe7750a9ac */
/* x = 3.75000000000000000000000000000000000e-01 3ffd8000000000000000000000000000 */
/* cos(x) = 0.ee35bf5ccac89052cd91ddb734d3a47e262e3b609db604e217053803be0091e76daf28a89b7 */
9.30507621912314291149476792229555481e-01L, /* 3ffedc6b7eb9959120a59b23bb6e69a7 */
2.74541088551732982573335285685416092e-35L, /* 3f8c23f13171db04edb02710b829c01e */
L(9.30507621912314291149476792229555481e-01), /* 3ffedc6b7eb9959120a59b23bb6e69a7 */
L(2.74541088551732982573335285685416092e-35), /* 3f8c23f13171db04edb02710b829c01e */
/* sin(x) = 0.5dc40955d9084f48a94675a2498de5d851320ff5528a6afb3f2e24de240fce6cbed1ba0ccd6 */
3.66272529086047561372909351716264177e-01L, /* 3ffd7710255764213d22a519d6892638 */
-1.96768433534936592675897818253108989e-35L, /* bf8ba27aecdf00aad759504c0d1db21e */
L(3.66272529086047561372909351716264177e-01), /* 3ffd7710255764213d22a519d6892638 */
L(-1.96768433534936592675897818253108989e-35), /* bf8ba27aecdf00aad759504c0d1db21e */
/* x = 3.82812500000000000000000000000000000e-01 3ffd8800000000000000000000000000 */
/* cos(x) = 0.ed785b5c44741b4493c56bcb9d338a151c6f6b85d8f8aca658b28572c162b199680eb9304da */
9.27617750192851909628030798799961350e-01L, /* 3ffedaf0b6b888e83689278ad7973a67 */
7.58520371916345756281201167126854712e-36L, /* 3f8a42a38ded70bb1f1594cb1650ae58 */
L(9.27617750192851909628030798799961350e-01), /* 3ffedaf0b6b888e83689278ad7973a67 */
L(7.58520371916345756281201167126854712e-36), /* 3f8a42a38ded70bb1f1594cb1650ae58 */
/* sin(x) = 0.5f9fb80f21b53649c432540a50e22c53057ff42ae0fdf1307760dc0093f99c8efeb2fbd7073 */
3.73530868238692946416839752660848112e-01L, /* 3ffd7e7ee03c86d4d92710c950294389 */
-1.48023494778986556048879113411517128e-35L, /* bf8b3acfa800bd51f020ecf889f23ff7 */
L(3.73530868238692946416839752660848112e-01), /* 3ffd7e7ee03c86d4d92710c950294389 */
L(-1.48023494778986556048879113411517128e-35), /* bf8b3acfa800bd51f020ecf889f23ff7 */
/* x = 3.90625000000000000000000000000000000e-01 3ffd9000000000000000000000000000 */
/* cos(x) = 0.ecb7417b8d4ee3fec37aba4073aa48f1f14666006fb431d9671303c8100d10190ec8179c41d */
9.24671261467036098502113014560138771e-01L, /* 3ffed96e82f71a9dc7fd86f57480e755 */
-4.14187124860031825108649347251175815e-35L, /* bf8cb87075cccffc825e7134c767e1bf */
L(9.24671261467036098502113014560138771e-01), /* 3ffed96e82f71a9dc7fd86f57480e755 */
L(-4.14187124860031825108649347251175815e-35), /* bf8cb87075cccffc825e7134c767e1bf */
/* sin(x) = 0.6179e84a09a5258a40e9b5face03e525f8b5753cd0105d93fe6298010c3458e84d75fe420e9 */
3.80766408992390192057200703388896675e-01L, /* 3ffd85e7a1282694962903a6d7eb3810 */
-2.02009541175208636336924533372496107e-35L, /* bf8bada074a8ac32fefa26c019d67fef */
L(3.80766408992390192057200703388896675e-01), /* 3ffd85e7a1282694962903a6d7eb3810 */
L(-2.02009541175208636336924533372496107e-35), /* bf8bada074a8ac32fefa26c019d67fef */
/* x = 3.98437500000000000000000000000000000e-01 3ffd9800000000000000000000000000 */
/* cos(x) = 0.ebf274bf0bda4f62447e56a093626798d3013b5942b1abfd155aacc9dc5c6d0806a20d6b9c1 */
9.21668335573351918175411368202712714e-01L, /* 3ffed7e4e97e17b49ec488fcad4126c5 */
-1.83587995433957622948710263541479322e-35L, /* bf8b8672cfec4a6bd4e5402eaa553362 */
L(9.21668335573351918175411368202712714e-01), /* 3ffed7e4e97e17b49ec488fcad4126c5 */
L(-1.83587995433957622948710263541479322e-35), /* bf8b8672cfec4a6bd4e5402eaa553362 */
/* sin(x) = 0.6352929dd264bd44a02ea766325d8aa8bd9695fc8def3caefba5b94c9a3c873f7b2d3776ead */
3.87978709727025046051079690813741960e-01L, /* 3ffd8d4a4a774992f51280ba9d98c976 */
8.01904783870935075844443278617586301e-36L, /* 3f8a5517b2d2bf91bde795df74b72993 */
L(3.87978709727025046051079690813741960e-01), /* 3ffd8d4a4a774992f51280ba9d98c976 */
L(8.01904783870935075844443278617586301e-36), /* 3f8a5517b2d2bf91bde795df74b72993 */
/* x = 4.06250000000000000000000000000000000e-01 3ffda000000000000000000000000000 */
/* cos(x) = 0.eb29f839f201fd13b93796827916a78f15c85230a4e8ea4b21558265a14367e1abb4c30695a */
9.18609155794918267837824977718549863e-01L, /* 3ffed653f073e403fa27726f2d04f22d */
2.97608282778274433460057745798409849e-35L, /* 3f8c3c78ae429185274752590aac132d */
L(9.18609155794918267837824977718549863e-01), /* 3ffed653f073e403fa27726f2d04f22d */
L(2.97608282778274433460057745798409849e-35), /* 3f8c3c78ae429185274752590aac132d */
/* sin(x) = 0.6529afa7d51b129631ec197c0a840a11d7dc5368b0a47956feb285caa8371c4637ef17ef01b */
3.95167330240934236244832640419653657e-01L, /* 3ffd94a6be9f546c4a58c7b065f02a10 */
7.57560031388312550940040194042627704e-36L, /* 3f8a423afb8a6d16148f2adfd650b955 */
L(3.95167330240934236244832640419653657e-01), /* 3ffd94a6be9f546c4a58c7b065f02a10 */
L(7.57560031388312550940040194042627704e-36), /* 3f8a423afb8a6d16148f2adfd650b955 */
/* x = 4.14062500000000000000000000000000000e-01 3ffda800000000000000000000000000 */
/* cos(x) = 0.ea5dcf0e30cf03e6976ef0b1ec26515fba47383855c3b4055a99b5e86824b2cd1a691fdca7b */
9.15493908848301228563917732180221882e-01L, /* 3ffed4bb9e1c619e07cd2edde163d84d */
-3.50775517955306954815090901168305659e-35L, /* bf8c75022dc63e3d51e25fd52b3250bd */
L(9.15493908848301228563917732180221882e-01), /* 3ffed4bb9e1c619e07cd2edde163d84d */
L(-3.50775517955306954815090901168305659e-35), /* bf8c75022dc63e3d51e25fd52b3250bd */
/* sin(x) = 0.66ff380ba0144109e39a320b0a3fa5fd65ea0585bcbf9b1a769a9b0334576c658139e1a1cbe */
4.02331831777773111217105598880982387e-01L, /* 3ffd9bfce02e805104278e68c82c28ff */
-1.95678722882848174723569916504871563e-35L, /* bf8ba029a15fa7a434064e5896564fcd */
L(4.02331831777773111217105598880982387e-01), /* 3ffd9bfce02e805104278e68c82c28ff */
L(-1.95678722882848174723569916504871563e-35), /* bf8ba029a15fa7a434064e5896564fcd */
/* x = 4.21875000000000000000000000000000000e-01 3ffdb000000000000000000000000000 */
/* cos(x) = 0.e98dfc6c6be031e60dd3089cbdd18a75b1f6b2c1e97f79225202f03dbea45b07a5ec4efc062 */
9.12322784872117846492029542047341734e-01L, /* 3ffed31bf8d8d7c063cc1ba611397ba3 */
7.86903886556373674267948132178845568e-36L, /* 3f8a4eb63ed6583d2fef244a405e07b8 */
L(9.12322784872117846492029542047341734e-01), /* 3ffed31bf8d8d7c063cc1ba611397ba3 */
L(7.86903886556373674267948132178845568e-36), /* 3f8a4eb63ed6583d2fef244a405e07b8 */
/* sin(x) = 0.68d32473143327973bc712bcc4ccddc47630d755850c0655243b205934dc49ffed8eb76adcb */
4.09471777053295066122694027011452236e-01L, /* 3ffda34c91cc50cc9e5cef1c4af31333 */
2.23945241468457597921655785729821354e-35L, /* 3f8bdc47630d755850c0655243b20593 */
L(4.09471777053295066122694027011452236e-01), /* 3ffda34c91cc50cc9e5cef1c4af31333 */
L(2.23945241468457597921655785729821354e-35), /* 3f8bdc47630d755850c0655243b20593 */
/* x = 4.29687500000000000000000000000000000e-01 3ffdb800000000000000000000000000 */
/* cos(x) = 0.e8ba8393eca7821aa563d83491b6101189b3b101c3677f73d7bad7c10f9ee02b7ab4009739a */
9.09095977415431051650381735684476417e-01L, /* 3ffed1750727d94f04354ac7b069236c */
1.20886014028444155733776025085677953e-35L, /* 3f8b01189b3b101c3677f73d7bad7c11 */
L(9.09095977415431051650381735684476417e-01), /* 3ffed1750727d94f04354ac7b069236c */
L(1.20886014028444155733776025085677953e-35), /* 3f8b01189b3b101c3677f73d7bad7c11 */
/* sin(x) = 0.6aa56d8e8249db4eb60a761fe3f9e559be456b9e13349ca99b0bfb787f22b95db3b70179615 */
4.16586730282041119259112448831069657e-01L, /* 3ffdaa95b63a09276d3ad829d87f8fe8 */
-2.00488106831998813675438269796963612e-35L, /* bf8baa641ba9461eccb635664f404878 */
L(4.16586730282041119259112448831069657e-01), /* 3ffdaa95b63a09276d3ad829d87f8fe8 */
L(-2.00488106831998813675438269796963612e-35), /* bf8baa641ba9461eccb635664f404878 */
/* x = 4.37500000000000000000000000000000000e-01 3ffdc000000000000000000000000000 */
/* cos(x) = 0.e7e367d2956cfb16b6aa11e5419cd0057f5c132a6455bf064297e6a76fe2b72bb630d6d50ff */
9.05813683425936420744516660652700258e-01L, /* 3ffecfc6cfa52ad9f62d6d5423ca833a */
-3.60950307605941169775676563004467163e-35L, /* bf8c7fd4051f66acdd5207cdeb40cac5 */
L(9.05813683425936420744516660652700258e-01), /* 3ffecfc6cfa52ad9f62d6d5423ca833a */
L(-3.60950307605941169775676563004467163e-35), /* bf8c7fd4051f66acdd5207cdeb40cac5 */
/* sin(x) = 0.6c760c14c8585a51dbd34660ae6c52ac7036a0b40887a0b63724f8b4414348c3063a637f457 */
4.23676257203938010361683988031102480e-01L, /* 3ffdb1d83053216169476f4d1982b9b1 */
1.40484456388654470329473096579312595e-35L, /* 3f8b2ac7036a0b40887a0b63724f8b44 */
L(4.23676257203938010361683988031102480e-01), /* 3ffdb1d83053216169476f4d1982b9b1 */
L(1.40484456388654470329473096579312595e-35), /* 3f8b2ac7036a0b40887a0b63724f8b44 */
/* x = 4.45312500000000000000000000000000000e-01 3ffdc800000000000000000000000000 */
/* cos(x) = 0.e708ac84d4172a3e2737662213429e14021074d7e702e77d72a8f1101a7e70410df8273e9aa */
9.02476103237941504925183272675895999e-01L, /* 3ffece115909a82e547c4e6ecc442685 */
2.26282899501344419018306295680210602e-35L, /* 3f8be14021074d7e702e77d72a8f1102 */
L(9.02476103237941504925183272675895999e-01), /* 3ffece115909a82e547c4e6ecc442685 */
L(2.26282899501344419018306295680210602e-35), /* 3f8be14021074d7e702e77d72a8f1102 */
/* sin(x) = 0.6e44f8c36eb10a1c752d093c00f4d47ba446ac4c215d26b0316442f168459e677d06e7249e3 */
4.30739925110803197216321517850849190e-01L, /* 3ffdb913e30dbac42871d4b424f003d3 */
1.54096780001629398850891218396761548e-35L, /* 3f8b47ba446ac4c215d26b0316442f17 */
L(4.30739925110803197216321517850849190e-01), /* 3ffdb913e30dbac42871d4b424f003d3 */
L(1.54096780001629398850891218396761548e-35), /* 3f8b47ba446ac4c215d26b0316442f17 */
/* x = 4.53125000000000000000000000000000000e-01 3ffdd000000000000000000000000000 */
/* cos(x) = 0.e62a551594b970a770b15d41d4c0e483e47aca550111df6966f9e7ac3a94ae49e6a71eb031e */
8.99083440560138456216544929209379307e-01L, /* 3ffecc54aa2b2972e14ee162ba83a982 */
-2.06772615490904370666670275154751976e-35L, /* bf8bb7c1b8535aafeee209699061853c */
L(8.99083440560138456216544929209379307e-01), /* 3ffecc54aa2b2972e14ee162ba83a982 */
L(-2.06772615490904370666670275154751976e-35), /* bf8bb7c1b8535aafeee209699061853c */
/* sin(x) = 0.70122c5ec5028c8cff33abf4fd340ccc382e038379b09cf04f9a52692b10b72586060cbb001 */
4.37777302872755132861618974702796680e-01L, /* 3ffdc048b17b140a3233fcceafd3f4d0 */
9.62794364503442612477117426033922467e-36L, /* 3f8a998705c0706f36139e09f34a4d25 */
L(4.37777302872755132861618974702796680e-01), /* 3ffdc048b17b140a3233fcceafd3f4d0 */
L(9.62794364503442612477117426033922467e-36), /* 3f8a998705c0706f36139e09f34a4d25 */
/* x = 4.60937500000000000000000000000000000e-01 3ffdd800000000000000000000000000 */
/* cos(x) = 0.e54864fe33e8575cabf5bd0e5cf1b1a8bc7c0d5f61702450fa6b6539735820dd2603ae355d5 */
8.95635902463170698900570000446256350e-01L, /* 3ffeca90c9fc67d0aeb957eb7a1cb9e3 */
3.73593741659866883088620495542311808e-35L, /* 3f8c8d45e3e06afb0b812287d35b29cc */
L(8.95635902463170698900570000446256350e-01), /* 3ffeca90c9fc67d0aeb957eb7a1cb9e3 */
L(3.73593741659866883088620495542311808e-35), /* 3f8c8d45e3e06afb0b812287d35b29cc */
/* sin(x) = 0.71dd9fb1ff4677853acb970a9f6729c6e3aac247b1c57cea66c77413f1f98e8b9e98e49d851 */
4.44787960964527211433056012529525211e-01L, /* 3ffdc7767ec7fd19de14eb2e5c2a7d9d */
-1.67187936511493678007508371613954899e-35L, /* bf8b6391c553db84e3a831599388bec1 */
L(4.44787960964527211433056012529525211e-01), /* 3ffdc7767ec7fd19de14eb2e5c2a7d9d */
L(-1.67187936511493678007508371613954899e-35), /* bf8b6391c553db84e3a831599388bec1 */
/* x = 4.68750000000000000000000000000000000e-01 3ffde000000000000000000000000000 */
/* cos(x) = 0.e462dfc670d421ab3d1a15901228f146a0547011202bf5ab01f914431859aef577966bc4fa4 */
8.92133699366994404723900253723788575e-01L, /* 3ffec8c5bf8ce1a843567a342b202452 */
-1.10771937602567314732693079264692504e-35L, /* bf8ad72bf571fddbfa814a9fc0dd779d */
L(8.92133699366994404723900253723788575e-01), /* 3ffec8c5bf8ce1a843567a342b202452 */
L(-1.10771937602567314732693079264692504e-35), /* bf8ad72bf571fddbfa814a9fc0dd779d */
/* sin(x) = 0.73a74b8f52947b681baf6928eb3fb021769bf4779bad0e3aa9b1cdb75ec60aad9fc63ff19d5 */
4.51771471491683776581688750134062870e-01L, /* 3ffdce9d2e3d4a51eda06ebda4a3acff */
-1.19387223016472295893794387275284505e-35L, /* bf8afbd12c81710c8a5e38aac9c64914 */
L(4.51771471491683776581688750134062870e-01), /* 3ffdce9d2e3d4a51eda06ebda4a3acff */
L(-1.19387223016472295893794387275284505e-35), /* bf8afbd12c81710c8a5e38aac9c64914 */
/* x = 4.76562500000000000000000000000000000e-01 3ffde800000000000000000000000000 */
/* cos(x) = 0.e379c9045f29d517c4808aa497c2057b2b3d109e76c0dc302d4d0698b36e3f0bdbf33d8e952 */
8.88577045028035543317609023116020980e-01L, /* 3ffec6f39208be53aa2f890115492f84 */
4.12354278954664731443813655177022170e-36L, /* 3f895ecacf44279db0370c0b5341a62d */
L(8.88577045028035543317609023116020980e-01), /* 3ffec6f39208be53aa2f890115492f84 */
L(4.12354278954664731443813655177022170e-36), /* 3f895ecacf44279db0370c0b5341a62d */
/* sin(x) = 0.756f28d011d98528a44a75fc29c779bd734ecdfb582fdb74b68a4c4c4be54cfd0b2d3ad292f */
4.58727408216736592377295028972874773e-01L, /* 3ffdd5bca340476614a29129d7f0a71e */
-4.70946994194182908929251719575431779e-36L, /* bf8990a32c4c8129f40922d25d6ceced */
L(4.58727408216736592377295028972874773e-01), /* 3ffdd5bca340476614a29129d7f0a71e */
L(-4.70946994194182908929251719575431779e-36), /* bf8990a32c4c8129f40922d25d6ceced */
/* x = 4.84375000000000000000000000000000000e-01 3ffdf000000000000000000000000000 */
/* cos(x) = 0.e28d245c58baef72225e232abc003c4366acd9eb4fc2808c2ab7fe7676cf512ac7f945ae5fb */
8.84966156526143291697296536966647926e-01L, /* 3ffec51a48b8b175dee444bc46557800 */
4.53370570288325630442037826313462165e-35L, /* 3f8ce21b3566cf5a7e14046155bff3b4 */
L(8.84966156526143291697296536966647926e-01), /* 3ffec51a48b8b175dee444bc46557800 */
L(4.53370570288325630442037826313462165e-35), /* 3f8ce21b3566cf5a7e14046155bff3b4 */
/* sin(x) = 0.77353054ca72690d4c6e171fd99e6b39fa8e1ede5f052fd2964534c75340970a3a9cd3c5c32 */
4.65655346585160182681199512507546779e-01L, /* 3ffddcd4c15329c9a43531b85c7f667a */
-1.56282598978971872478619772155305961e-35L, /* bf8b4c60571e121a0fad02d69bacb38b */
L(4.65655346585160182681199512507546779e-01), /* 3ffddcd4c15329c9a43531b85c7f667a */
L(-1.56282598978971872478619772155305961e-35), /* bf8b4c60571e121a0fad02d69bacb38b */
/* x = 4.92187500000000000000000000000000000e-01 3ffdf800000000000000000000000000 */
/* cos(x) = 0.e19cf580eeec046aa1422fa74807ecefb2a1911c94e7b5f20a00f70022d940193691e5bd790 */
8.81301254251340599140161908298100173e-01L, /* 3ffec339eb01ddd808d542845f4e9010 */
-1.43419192312116687783945619009629445e-35L, /* bf8b3104d5e6ee36b184a0df5ff08ffe */
L(8.81301254251340599140161908298100173e-01), /* 3ffec339eb01ddd808d542845f4e9010 */
L(-1.43419192312116687783945619009629445e-35), /* bf8b3104d5e6ee36b184a0df5ff08ffe */
/* sin(x) = 0.78f95b0560a9a3bd6df7bd981dc38c61224d08bc20631ea932e605e53b579e9e0767dfcbbcb */
4.72554863751304451146551317808516942e-01L, /* 3ffde3e56c1582a68ef5b7def660770e */
9.31324774957768018850224267625371204e-36L, /* 3f8a8c2449a117840c63d5265cc0bca7 */
L(4.72554863751304451146551317808516942e-01), /* 3ffde3e56c1582a68ef5b7def660770e */
L(9.31324774957768018850224267625371204e-36), /* 3f8a8c2449a117840c63d5265cc0bca7 */
/* x = 5.00000000000000000000000000000000000e-01 3ffe0000000000000000000000000000 */
/* cos(x) = 0.e0a94032dbea7cedbddd9da2fafad98556566b3a89f43eabd72350af3e8b19e801204d8fe2e */
8.77582561890372716116281582603829681e-01L, /* 3ffec1528065b7d4f9db7bbb3b45f5f6 */
-2.89484960181363924855192538540698851e-35L, /* bf8c33d54d4ca62bb05e0aa146e57a86 */
L(8.77582561890372716116281582603829681e-01), /* 3ffec1528065b7d4f9db7bbb3b45f5f6 */
L(-2.89484960181363924855192538540698851e-35), /* bf8c33d54d4ca62bb05e0aa146e57a86 */
/* sin(x) = 0.7abba1d12c17bfa1d92f0d93f60ded9992f45b4fcaf13cd58b303693d2a0db47db35ae8a3a9 */
4.79425538604203000273287935215571402e-01L, /* 3ffdeaee8744b05efe8764bc364fd838 */
-1.38426977616718318950175848639381926e-35L, /* bf8b2666d0ba4b0350ec32a74cfc96c3 */
L(4.79425538604203000273287935215571402e-01), /* 3ffdeaee8744b05efe8764bc364fd838 */
L(-1.38426977616718318950175848639381926e-35), /* bf8b2666d0ba4b0350ec32a74cfc96c3 */
/* x = 5.07812500000000000000000000000000000e-01 3ffe0400000000000000000000000000 */
/* cos(x) = 0.dfb20840f3a9b36f7ae2c515342890b5ec583b8366cc2b55029e95094d31112383f2553498b */
8.73810306413054508282556837071377159e-01L, /* 3ffebf641081e75366def5c58a2a6851 */
1.25716864497849302237218128599994785e-35L, /* 3f8b0b5ec583b8366cc2b55029e95095 */
L(8.73810306413054508282556837071377159e-01), /* 3ffebf641081e75366def5c58a2a6851 */
L(1.25716864497849302237218128599994785e-35), /* 3f8b0b5ec583b8366cc2b55029e95095 */
/* sin(x) = 0.7c7bfdaf13e5ed17212f8a7525bfb113aba6c0741b5362bb8d59282a850b63716bca0c910f0 */
4.86266951793275574311011306895834993e-01L, /* 3ffdf1eff6bc4f97b45c84be29d496ff */
-1.12269393250914752644352376448094271e-35L, /* bf8add8a8b27f17c9593a88e54dafaaf */
L(4.86266951793275574311011306895834993e-01), /* 3ffdf1eff6bc4f97b45c84be29d496ff */
L(-1.12269393250914752644352376448094271e-35), /* bf8add8a8b27f17c9593a88e54dafaaf */
/* x = 5.15625000000000000000000000000000000e-01 3ffe0800000000000000000000000000 */
/* cos(x) = 0.deb7518814a7a931bbcc88c109cd41c50bf8bb48f20ae8c36628d1d3d57574f7dc58f27d91c */
8.69984718058417388828915599901466243e-01L, /* 3ffebd6ea310294f526377991182139b */
-4.68168638300575626782741319792183837e-35L, /* bf8cf1d7a03a25b86fa8b9e4ceb97161 */
L(8.69984718058417388828915599901466243e-01), /* 3ffebd6ea310294f526377991182139b */
L(-4.68168638300575626782741319792183837e-35), /* bf8cf1d7a03a25b86fa8b9e4ceb97161 */
/* sin(x) = 0.7e3a679daaf25c676542bcb4028d0964172961c921823a4ef0c3a9070d886dbd073f6283699 */
4.93078685753923057265136552753487121e-01L, /* 3ffdf8e99e76abc9719d950af2d00a34 */
7.06498693112535056352301101088624950e-36L, /* 3f8a2c82e52c3924304749de187520e2 */
L(4.93078685753923057265136552753487121e-01), /* 3ffdf8e99e76abc9719d950af2d00a34 */
L(7.06498693112535056352301101088624950e-36), /* 3f8a2c82e52c3924304749de187520e2 */
/* x = 5.23437500000000000000000000000000000e-01 3ffe0c00000000000000000000000000 */
/* cos(x) = 0.ddb91ff318799172bd2452d0a3889f5169c64a0094bcf0b8aa7dcf0d7640a2eba68955a80be */
8.66106030320656714696616831654267220e-01L, /* 3ffebb723fe630f322e57a48a5a14711 */
2.35610597588322493119667003904687628e-35L, /* 3f8bf5169c64a0094bcf0b8aa7dcf0d7 */
L(8.66106030320656714696616831654267220e-01), /* 3ffebb723fe630f322e57a48a5a14711 */
L(2.35610597588322493119667003904687628e-35), /* 3f8bf5169c64a0094bcf0b8aa7dcf0d7 */
/* sin(x) = 0.7ff6d8a34bd5e8fa54c97482db5159df1f24e8038419c0b448b9eea8939b5d4dfcf40900257 */
4.99860324733013463819556536946425724e-01L, /* 3ffdffdb628d2f57a3e95325d20b6d45 */
1.94636052312235297538564591686645139e-35L, /* 3f8b9df1f24e8038419c0b448b9eea89 */
L(4.99860324733013463819556536946425724e-01), /* 3ffdffdb628d2f57a3e95325d20b6d45 */
L(1.94636052312235297538564591686645139e-35), /* 3f8b9df1f24e8038419c0b448b9eea89 */
/* x = 5.31250000000000000000000000000000000e-01 3ffe1000000000000000000000000000 */
/* cos(x) = 0.dcb7777ac420705168f31e3eb780ce9c939ecada62843b54522f5407eb7f21e556059fcd734 */
8.62174479934880504367162510253324274e-01L, /* 3ffeb96eeef58840e0a2d1e63c7d6f02 */
-3.71556818317533582234562471835771823e-35L, /* bf8c8b1b6309a92cebde255d6e855fc1 */
L(8.62174479934880504367162510253324274e-01), /* 3ffeb96eeef58840e0a2d1e63c7d6f02 */
L(-3.71556818317533582234562471835771823e-35), /* bf8c8b1b6309a92cebde255d6e855fc1 */
/* sin(x) = 0.81b149ce34caa5a4e650f8d09fd4d6aa74206c32ca951a93074c83b2d294d25dbb0f7fdfad2 */
5.06611454814257367642296000893867192e-01L, /* 3ffe0362939c69954b49cca1f1a13faa */
-3.10963699824274155702706043065967062e-35L, /* bf8c4aac5efc9e69ab572b67c59be269 */
L(5.06611454814257367642296000893867192e-01), /* 3ffe0362939c69954b49cca1f1a13faa */
L(-3.10963699824274155702706043065967062e-35), /* bf8c4aac5efc9e69ab572b67c59be269 */
/* x = 5.39062500000000000000000000000000000e-01 3ffe1400000000000000000000000000 */
/* cos(x) = 0.dbb25c25b8260c14f6e7bc98ec991b70c65335198b0ab628bad20cc7b229d4dd62183cfa055 */
8.58190306862660347046629564970494649e-01L, /* 3ffeb764b84b704c1829edcf7931d932 */
2.06439574601190798155563653000684861e-35L, /* 3f8bb70c65335198b0ab628bad20cc7b */
L(8.58190306862660347046629564970494649e-01), /* 3ffeb764b84b704c1829edcf7931d932 */
L(2.06439574601190798155563653000684861e-35), /* 3f8bb70c65335198b0ab628bad20cc7b */
/* sin(x) = 0.8369b434a372da7eb5c8a71fe36ce1e0b2b493f6f5cb2e38bcaec2a556b3678c401940d1c3c */
5.13331663943471218288801270215706878e-01L, /* 3ffe06d3686946e5b4fd6b914e3fc6da */
-2.26614796466671970772244932848067224e-35L, /* bf8be1f4d4b6c090a34d1c743513d5ab */
L(5.13331663943471218288801270215706878e-01), /* 3ffe06d3686946e5b4fd6b914e3fc6da */
L(-2.26614796466671970772244932848067224e-35), /* bf8be1f4d4b6c090a34d1c743513d5ab */
/* x = 5.46875000000000000000000000000000000e-01 3ffe1800000000000000000000000000 */
/* cos(x) = 0.daa9d20860827063fde51c09e855e9932e1b17143e7244fd267a899d41ae1f3bc6a0ec42e27 */
8.54153754277385385143451785105103176e-01L, /* 3ffeb553a410c104e0c7fbca3813d0ac */
-1.68707534013095152873222061722573172e-35L, /* bf8b66cd1e4e8ebc18dbb02d9857662c */
L(8.54153754277385385143451785105103176e-01), /* 3ffeb553a410c104e0c7fbca3813d0ac */
L(-1.68707534013095152873222061722573172e-35), /* bf8b66cd1e4e8ebc18dbb02d9857662c */
/* sin(x) = 0.852010f4f0800521378bd8dd614753d080c2e9e0775ffc609947b9132f5357404f464f06a58 */
5.20020541953727004760213699874674730e-01L, /* 3ffe0a4021e9e1000a426f17b1bac28f */
-3.32415021330884924833711842866896734e-35L, /* bf8c617bf9e8b0fc45001cfb35c23767 */
L(5.20020541953727004760213699874674730e-01), /* 3ffe0a4021e9e1000a426f17b1bac28f */
L(-3.32415021330884924833711842866896734e-35), /* bf8c617bf9e8b0fc45001cfb35c23767 */
/* x = 5.54687500000000000000000000000000000e-01 3ffe1c00000000000000000000000000 */
/* cos(x) = 0.d99ddd44e44a43d4d4a3a3ed95204106fd54d78e8c7684545c0da0b7c2c72be7a89b7c182ad */
8.50065068549420263957072899177793617e-01L, /* 3ffeb33bba89c89487a9a94747db2a41 */
-4.73753917078785974356016104842568442e-35L, /* bf8cf7c81559438b9c4bdd5d1f92fa42 */
L(8.50065068549420263957072899177793617e-01), /* 3ffeb33bba89c89487a9a94747db2a41 */
L(-4.73753917078785974356016104842568442e-35), /* bf8cf7c81559438b9c4bdd5d1f92fa42 */
/* sin(x) = 0.86d45935ab396cb4e421e822dee54f3562dfcefeaa782184c23401d231f5ad981a1cc195b18 */
5.26677680590386730710789410624833901e-01L, /* 3ffe0da8b26b5672d969c843d045bdcb */
-3.67066148195515214077582496518566735e-35L, /* bf8c8654e901880aac3ef3d9ee5ff16e */
L(5.26677680590386730710789410624833901e-01), /* 3ffe0da8b26b5672d969c843d045bdcb */
L(-3.67066148195515214077582496518566735e-35), /* bf8c8654e901880aac3ef3d9ee5ff16e */
/* x = 5.62500000000000000000000000000000000e-01 3ffe2000000000000000000000000000 */
/* cos(x) = 0.d88e820b1526311dd561efbc0c1a9a5375eb26f65d246c5744b13ca26a7e0fd42556da843c8 */
8.45924499231067954459723078597493262e-01L, /* 3ffeb11d04162a4c623baac3df781835 */
1.98054947141989878179164342925274053e-35L, /* 3f8ba5375eb26f65d246c5744b13ca27 */
L(8.45924499231067954459723078597493262e-01), /* 3ffeb11d04162a4c623baac3df781835 */
L(1.98054947141989878179164342925274053e-35), /* 3f8ba5375eb26f65d246c5744b13ca27 */
/* sin(x) = 0.88868625b4e1dbb2313310133022527200c143a5cb16637cb7daf8ade82459ff2e98511f40f */
5.33302673536020173329131103308161529e-01L, /* 3ffe110d0c4b69c3b764626620266045 */
-3.42715291319551615996993795226755157e-35L, /* bf8c6c6ff9f5e2d1a74ce41a41283a91 */
L(5.33302673536020173329131103308161529e-01), /* 3ffe110d0c4b69c3b764626620266045 */
L(-3.42715291319551615996993795226755157e-35), /* bf8c6c6ff9f5e2d1a74ce41a41283a91 */
/* x = 5.70312500000000000000000000000000000e-01 3ffe2400000000000000000000000000 */
/* cos(x) = 0.d77bc4985e93a607c9d868b906bbc6bbe3a04258814acb0358468b826fc91bd4d814827f65e */
8.41732299041338366963111794309701085e-01L, /* 3ffeaef78930bd274c0f93b0d1720d78 */
-4.30821936750410026005408345400225948e-35L, /* bf8cca20e2fded3bf5a9a7e53dcba3ed */
L(8.41732299041338366963111794309701085e-01), /* 3ffeaef78930bd274c0f93b0d1720d78 */
L(-4.30821936750410026005408345400225948e-35), /* bf8cca20e2fded3bf5a9a7e53dcba3ed */
/* sin(x) = 0.8a3690fc5bfc11bf9535e2739a8512f448a41251514bbed7fc18d530f9b4650fcbb2861b0aa */
5.39895116435204405041660709903993340e-01L, /* 3ffe146d21f8b7f8237f2a6bc4e7350a */
1.42595803521626714477253741404712093e-35L, /* 3f8b2f448a41251514bbed7fc18d5310 */
L(5.39895116435204405041660709903993340e-01), /* 3ffe146d21f8b7f8237f2a6bc4e7350a */
L(1.42595803521626714477253741404712093e-35), /* 3f8b2f448a41251514bbed7fc18d5310 */
/* x = 5.78125000000000000000000000000000000e-01 3ffe2800000000000000000000000000 */
/* cos(x) = 0.d665a937b4ef2b1f6d51bad6d988a4419c1d7051faf31a9efa151d7631117efac03713f950a */
8.37488723850523685315353348917240617e-01L, /* 3ffeaccb526f69de563edaa375adb311 */
2.72761997872084533045777718677326179e-35L, /* 3f8c220ce0eb828fd798d4f7d0a8ebb2 */
L(8.37488723850523685315353348917240617e-01), /* 3ffeaccb526f69de563edaa375adb311 */
L(2.72761997872084533045777718677326179e-35), /* 3f8c220ce0eb828fd798d4f7d0a8ebb2 */
/* sin(x) = 0.8be472f9776d809af2b88171243d63d66dfceeeb739cc894e023fbc165a0e3f26ff729c5d57 */
5.46454606919203564403349553749411001e-01L, /* 3ffe17c8e5f2eedb0135e57102e2487b */
-2.11870230730160315420936523771864858e-35L, /* bf8bc29920311148c63376b1fdc043ea */
L(5.46454606919203564403349553749411001e-01), /* 3ffe17c8e5f2eedb0135e57102e2487b */
L(-2.11870230730160315420936523771864858e-35), /* bf8bc29920311148c63376b1fdc043ea */
/* x = 5.85937500000000000000000000000000000e-01 3ffe2c00000000000000000000000000 */
/* cos(x) = 0.d54c3441844897fc8f853f0655f1ba695eba9fbfd7439dbb1171d862d9d9146ca5136f825ac */
8.33194032664581363070224042208032321e-01L, /* 3ffeaa98688308912ff91f0a7e0cabe3 */
4.39440050052045486567668031751259899e-35L, /* 3f8cd34af5d4fdfeba1cedd88b8ec317 */
L(8.33194032664581363070224042208032321e-01), /* 3ffeaa98688308912ff91f0a7e0cabe3 */
L(4.39440050052045486567668031751259899e-35), /* 3f8cd34af5d4fdfeba1cedd88b8ec317 */
/* sin(x) = 0.8d902565817ee7839bce3cd128060119492cd36d42d82ada30d7f8bde91324808377ddbf5d4 */
5.52980744630527369849695082681623667e-01L, /* 3ffe1b204acb02fdcf07379c79a2500c */
8.26624790417342895897164123189984127e-37L, /* 3f8719492cd36d42d82ada30d7f8bde9 */
L(5.52980744630527369849695082681623667e-01), /* 3ffe1b204acb02fdcf07379c79a2500c */
L(8.26624790417342895897164123189984127e-37), /* 3f8719492cd36d42d82ada30d7f8bde9 */
/* x = 5.93750000000000000000000000000000000e-01 3ffe3000000000000000000000000000 */
/* cos(x) = 0.d42f6a1b9f0168cdf031c2f63c8d9304d86f8d34cb1d5fccb68ca0f2241427fc18d1fd5bbdf */
8.28848487609325734810171790119116638e-01L, /* 3ffea85ed4373e02d19be06385ec791b */
1.43082508100496581719048175506239770e-35L, /* 3f8b304d86f8d34cb1d5fccb68ca0f22 */
L(8.28848487609325734810171790119116638e-01), /* 3ffea85ed4373e02d19be06385ec791b */
L(1.43082508100496581719048175506239770e-35), /* 3f8b304d86f8d34cb1d5fccb68ca0f22 */
/* sin(x) = 0.8f39a191b2ba6122a3fa4f41d5a3ffd421417d46f19a22230a14f7fcc8fce5c75b4b28b29d1 */
5.59473131247366877384844006003116688e-01L, /* 3ffe1e7343236574c24547f49e83ab48 */
-1.28922620524163922306886952100992796e-37L, /* bf845ef5f415c8732eeee7af584019b8 */
L(5.59473131247366877384844006003116688e-01), /* 3ffe1e7343236574c24547f49e83ab48 */
L(-1.28922620524163922306886952100992796e-37), /* bf845ef5f415c8732eeee7af584019b8 */
/* x = 6.01562500000000000000000000000000000e-01 3ffe3400000000000000000000000000 */
/* cos(x) = 0.d30f4f392c357ab0661c5fa8a7d9b26627846fef214b1d19a22379ff9eddba087cf410eb097 */
8.24452353914429207485643598212356053e-01L, /* 3ffea61e9e72586af560cc38bf514fb3 */
3.79160239225080026987031418939026741e-35L, /* 3f8c93313c237f790a58e8cd111bcffd */
L(8.24452353914429207485643598212356053e-01), /* 3ffea61e9e72586af560cc38bf514fb3 */
L(3.79160239225080026987031418939026741e-35), /* 3f8c93313c237f790a58e8cd111bcffd */
/* sin(x) = 0.90e0e0d81ca678796cc92c8ea8c2815bc72ca78abe571bfa8576aacc571e096a33237e0e830 */
5.65931370507905990773159095689276114e-01L, /* 3ffe21c1c1b0394cf0f2d992591d5185 */
1.02202775968053982310991962521535027e-36L, /* 3f875bc72ca78abe571bfa8576aacc57 */
L(5.65931370507905990773159095689276114e-01), /* 3ffe21c1c1b0394cf0f2d992591d5185 */
L(1.02202775968053982310991962521535027e-36), /* 3f875bc72ca78abe571bfa8576aacc57 */
/* x = 6.09375000000000000000000000000000000e-01 3ffe3800000000000000000000000000 */
/* cos(x) = 0.d1ebe81a95ee752e48a26bcd32d6e922d7eb44b8ad2232f6930795e84b56317269b9dd1dfa6 */
8.20005899897234008255550633876556043e-01L, /* 3ffea3d7d0352bdcea5c9144d79a65ae */
-1.72008811955230823416724332297991247e-35L, /* bf8b6dd2814bb4752ddcd096cf86a17b */
L(8.20005899897234008255550633876556043e-01), /* 3ffea3d7d0352bdcea5c9144d79a65ae */
L(-1.72008811955230823416724332297991247e-35), /* bf8b6dd2814bb4752ddcd096cf86a17b */
/* sin(x) = 0.9285dc9bc45dd9ea3d02457bcce59c4175aab6ff7929a8d287195525fdace200dba032874fb */
5.72355068234507240384953706824503608e-01L, /* 3ffe250bb93788bbb3d47a048af799cb */
2.12572273479933123944580199464514529e-35L, /* 3f8bc4175aab6ff7929a8d2871955260 */
L(5.72355068234507240384953706824503608e-01), /* 3ffe250bb93788bbb3d47a048af799cb */
L(2.12572273479933123944580199464514529e-35), /* 3f8bc4175aab6ff7929a8d2871955260 */
/* x = 6.17187500000000000000000000000000000e-01 3ffe3c00000000000000000000000000 */
/* cos(x) = 0.d0c5394d772228195e25736c03574707de0af1ca344b13bd3914bfe27518e9e426f5deff1e1 */
8.15509396946375476876345384201386217e-01L, /* 3ffea18a729aee445032bc4ae6d806af */
-4.28589138410712954051679139949341961e-35L, /* bf8cc7c10fa871ae5da76216375a00ec */
L(8.15509396946375476876345384201386217e-01), /* 3ffea18a729aee445032bc4ae6d806af */
L(-4.28589138410712954051679139949341961e-35), /* bf8cc7c10fa871ae5da76216375a00ec */
/* sin(x) = 0.94288e48bd0335fc41c4cbd2920497a8f5d1d8185c99fa0081f90c27e2a53ffdd208a0dbe69 */
5.78743832357770354521111378581385347e-01L, /* 3ffe28511c917a066bf8838997a52409 */
1.77998063432551282609698670002456093e-35L, /* 3f8b7a8f5d1d8185c99fa0081f90c27e */
L(5.78743832357770354521111378581385347e-01), /* 3ffe28511c917a066bf8838997a52409 */
L(1.77998063432551282609698670002456093e-35), /* 3f8b7a8f5d1d8185c99fa0081f90c27e */
/* x = 6.25000000000000000000000000000000000e-01 3ffe4000000000000000000000000000 */
/* cos(x) = 0.cf9b476c897c25c5bfe750dd3f308eaf7bcc1ed00179a256870f4200445043dcdb1974b5878 */
8.10963119505217902189534803941080724e-01L, /* 3ffe9f368ed912f84b8b7fcea1ba7e61 */
1.10481292856794436426051402418804358e-35L, /* 3f8ad5ef7983da002f344ad0e1e84009 */
L(8.10963119505217902189534803941080724e-01), /* 3ffe9f368ed912f84b8b7fcea1ba7e61 */
L(1.10481292856794436426051402418804358e-35), /* 3f8ad5ef7983da002f344ad0e1e84009 */
/* sin(x) = 0.95c8ef544210ec0b91c49bd2aa09e8515fa61a156ebb10f5f8c232a6445b61ebf3c2ec268f9 */
5.85097272940462154805399314150080459e-01L, /* 3ffe2b91dea88421d817238937a55414 */
-1.78164576278056195136525335403380464e-35L, /* bf8b7aea059e5ea9144ef0a073dcd59c */
L(5.85097272940462154805399314150080459e-01), /* 3ffe2b91dea88421d817238937a55414 */
L(-1.78164576278056195136525335403380464e-35), /* bf8b7aea059e5ea9144ef0a073dcd59c */
/* x = 6.32812500000000000000000000000000000e-01 3ffe4400000000000000000000000000 */
/* cos(x) = 0.ce6e171f92f2e27f32225327ec440ddaefae248413efc0e58ceee1ae369aabe73f88c87ed1a */
8.06367345055103913698795406077297399e-01L, /* 3ffe9cdc2e3f25e5c4fe6444a64fd888 */
1.04235088143133625463876245029180850e-35L, /* 3f8abb5df5c490827df81cb19ddc35c7 */
L(8.06367345055103913698795406077297399e-01), /* 3ffe9cdc2e3f25e5c4fe6444a64fd888 */
L(1.04235088143133625463876245029180850e-35), /* 3f8abb5df5c490827df81cb19ddc35c7 */
/* sin(x) = 0.9766f93cd18413a6aafc1cfc6fc28abb6817bf94ce349901ae3f48c3215d3eb60acc5f78903 */
5.91415002201316315087000225758031236e-01L, /* 3ffe2ecdf279a308274d55f839f8df85 */
8.07390238063560077355762466502569603e-36L, /* 3f8a576d02f7f299c6932035c7e91864 */
L(5.91415002201316315087000225758031236e-01), /* 3ffe2ecdf279a308274d55f839f8df85 */
L(8.07390238063560077355762466502569603e-36), /* 3f8a576d02f7f299c6932035c7e91864 */
/* x = 6.40625000000000000000000000000000000e-01 3ffe4800000000000000000000000000 */
/* cos(x) = 0.cd3dad1b5328a2e459f993f4f5108819faccbc4eeba9604e81c7adad51cc8a2561631a06826 */
8.01722354098418450607492605652964208e-01L, /* 3ffe9a7b5a36a65145c8b3f327e9ea21 */
6.09487851305233089325627939458963741e-36L, /* 3f8a033f599789dd752c09d038f5b5aa */
L(8.01722354098418450607492605652964208e-01), /* 3ffe9a7b5a36a65145c8b3f327e9ea21 */
L(6.09487851305233089325627939458963741e-36), /* 3f8a033f599789dd752c09d038f5b5aa */
/* sin(x) = 0.9902a58a45e27bed68412b426b675ed503f54d14c8172e0d373f42cadf04daf67319a7f94be */
5.97696634538701531238647618967334337e-01L, /* 3ffe32054b148bc4f7dad0825684d6cf */
-2.49527608940873714527427941350461554e-35L, /* bf8c0957e0559759bf468f964605e9a9 */
L(5.97696634538701531238647618967334337e-01), /* 3ffe32054b148bc4f7dad0825684d6cf */
L(-2.49527608940873714527427941350461554e-35), /* bf8c0957e0559759bf468f964605e9a9 */
/* x = 6.48437500000000000000000000000000000e-01 3ffe4c00000000000000000000000000 */
/* cos(x) = 0.cc0a0e21709883a3ff00911e11a07ee3bd7ea2b04e081be99be0264791170761ae64b8b744a */
7.97028430141468342004642741431945296e-01L, /* 3ffe98141c42e1310747fe01223c2341 */
-8.35364432831812599727083251866305534e-37L, /* bf871c42815d4fb1f7e416641fd9b86f */
L(7.97028430141468342004642741431945296e-01), /* 3ffe98141c42e1310747fe01223c2341 */
L(-8.35364432831812599727083251866305534e-37), /* bf871c42815d4fb1f7e416641fd9b86f */
/* sin(x) = 0.9a9bedcdf01b38d993f3d7820781de292033ead73b89e28f39313dbe3a6e463f845b5fa8490 */
6.03941786554156657267270287527367726e-01L, /* 3ffe3537db9be03671b327e7af040f04 */
-2.54578992328947177770363936132309779e-35L, /* bf8c0eb6fe60a94623b0eb863676120e */
L(6.03941786554156657267270287527367726e-01), /* 3ffe3537db9be03671b327e7af040f04 */
L(-2.54578992328947177770363936132309779e-35), /* bf8c0eb6fe60a94623b0eb863676120e */
/* x = 6.56250000000000000000000000000000000e-01 3ffe5000000000000000000000000000 */
/* cos(x) = 0.cad33f00658fe5e8204bbc0f3a66a0e6a773f87987a780b243d7be83b3db1448ca0e0e62787 */
7.92285859677178543141501323781709399e-01L, /* 3ffe95a67e00cb1fcbd04097781e74cd */
2.47519558228473167879248891673807645e-35L, /* 3f8c07353b9fc3cc3d3c05921ebdf41e */
L(7.92285859677178543141501323781709399e-01), /* 3ffe95a67e00cb1fcbd04097781e74cd */
L(2.47519558228473167879248891673807645e-35), /* 3f8c07353b9fc3cc3d3c05921ebdf41e */
/* sin(x) = 0.9c32cba2b14156ef05256c4f857991ca6a547cd7ceb1ac8a8e62a282bd7b9183648a462bd04 */
6.10150077075791371273742393566183220e-01L, /* 3ffe386597456282adde0a4ad89f0af3 */
1.33842237929938963780969418369150532e-35L, /* 3f8b1ca6a547cd7ceb1ac8a8e62a282c */
L(6.10150077075791371273742393566183220e-01), /* 3ffe386597456282adde0a4ad89f0af3 */
L(1.33842237929938963780969418369150532e-35), /* 3f8b1ca6a547cd7ceb1ac8a8e62a282c */
/* x = 6.64062500000000000000000000000000000e-01 3ffe5400000000000000000000000000 */
/* cos(x) = 0.c99944936cf48c8911ff93fe64b3ddb7981e414bdaf6aae1203577de44878c62bc3bc9cf7b9 */
7.87494932167606083931328295965533034e-01L, /* 3ffe93328926d9e9191223ff27fcc968 */
-2.57915385618070637156514241185180920e-35L, /* bf8c12433f0df5a1284aa8f6fe54410e */
L(7.87494932167606083931328295965533034e-01), /* 3ffe93328926d9e9191223ff27fcc968 */
L(-2.57915385618070637156514241185180920e-35), /* bf8c12433f0df5a1284aa8f6fe54410e */
/* sin(x) = 0.9dc738ad14204e689ac582d0f85826590feece34886cfefe2e08cf2bb8488d55424dc9d3525 */
6.16321127181550943005700433761731837e-01L, /* 3ffe3b8e715a28409cd1358b05a1f0b0 */
2.88497530050197716298085892460478666e-35L, /* 3f8c32c87f7671a44367f7f17046795e */
L(6.16321127181550943005700433761731837e-01), /* 3ffe3b8e715a28409cd1358b05a1f0b0 */
L(2.88497530050197716298085892460478666e-35), /* 3f8c32c87f7671a44367f7f17046795e */
/* x = 6.71875000000000000000000000000000000e-01 3ffe5800000000000000000000000000 */
/* cos(x) = 0.c85c23c26ed7b6f014ef546c47929682122876bfbf157de0aff3c4247d820c746e32cd4174f */
7.82655940026272796930787447428139026e-01L, /* 3ffe90b84784ddaf6de029dea8d88f25 */
1.69332045679237919427807771288506254e-35L, /* 3f8b682122876bfbf157de0aff3c4248 */
L(7.82655940026272796930787447428139026e-01), /* 3ffe90b84784ddaf6de029dea8d88f25 */
L(1.69332045679237919427807771288506254e-35), /* 3f8b682122876bfbf157de0aff3c4248 */
/* sin(x) = 0.9f592e9b66a9cf906a3c7aa3c10199849040c45ec3f0a747597311038101780c5f266059dbf */
6.22454560222343683041926705090443330e-01L, /* 3ffe3eb25d36cd539f20d478f5478203 */
1.91974786921147072717621236192269859e-35L, /* 3f8b9849040c45ec3f0a747597311038 */
L(6.22454560222343683041926705090443330e-01), /* 3ffe3eb25d36cd539f20d478f5478203 */
L(1.91974786921147072717621236192269859e-35), /* 3f8b9849040c45ec3f0a747597311038 */
/* x = 6.79687500000000000000000000000000000e-01 3ffe5c00000000000000000000000000 */
/* cos(x) = 0.c71be181ecd6875ce2da5615a03cca207d9adcb9dfb0a1d6c40a4f0056437f1a59ccddd06ee */
7.77769178600317903122203513685412863e-01L, /* 3ffe8e37c303d9ad0eb9c5b4ac2b407a */
-4.05296033424632846931240580239929672e-35L, /* bf8caefc13291a31027af149dfad87fd */
L(7.77769178600317903122203513685412863e-01), /* 3ffe8e37c303d9ad0eb9c5b4ac2b407a */
L(-4.05296033424632846931240580239929672e-35), /* bf8caefc13291a31027af149dfad87fd */
/* sin(x) = 0.a0e8a725d33c828c11fa50fd9e9a15ffecfad43f3e534358076b9b0f6865694842b1e8c67dc */
6.28550001845029662028004327939032867e-01L, /* 3ffe41d14e4ba679051823f4a1fb3d34 */
1.65507421184028099672784511397428852e-35L, /* 3f8b5ffecfad43f3e534358076b9b0f7 */
L(6.28550001845029662028004327939032867e-01), /* 3ffe41d14e4ba679051823f4a1fb3d34 */
L(1.65507421184028099672784511397428852e-35), /* 3f8b5ffecfad43f3e534358076b9b0f7 */
/* x = 6.87500000000000000000000000000000000e-01 3ffe6000000000000000000000000000 */
/* cos(x) = 0.c5d882d2ee48030c7c07d28e981e34804f82ed4cf93655d2365389b716de6ad44676a1cc5da */
7.72834946152471544810851845913425178e-01L, /* 3ffe8bb105a5dc900618f80fa51d303c */
3.94975229341211664237241534741146939e-35L, /* 3f8ca4027c176a67c9b2ae91b29c4db9 */
L(7.72834946152471544810851845913425178e-01), /* 3ffe8bb105a5dc900618f80fa51d303c */
L(3.94975229341211664237241534741146939e-35), /* 3f8ca4027c176a67c9b2ae91b29c4db9 */
/* sin(x) = 0.a2759c0e79c35582527c32b55f5405c182c66160cb1d9eb7bb0b7cdf4ad66f317bda4332914 */
6.34607080015269296850309914203671436e-01L, /* 3ffe44eb381cf386ab04a4f8656abea8 */
4.33025916939968369326060156455927002e-36L, /* 3f897060b1985832c767adeec2df37d3 */
L(6.34607080015269296850309914203671436e-01), /* 3ffe44eb381cf386ab04a4f8656abea8 */
L(4.33025916939968369326060156455927002e-36), /* 3f897060b1985832c767adeec2df37d3 */
/* x = 6.95312500000000000000000000000000000e-01 3ffe6400000000000000000000000000 */
/* cos(x) = 0.c4920cc2ec38fb891b38827db08884fc66371ac4c2052ca8885b981bbcfd3bb7b093ee31515 */
7.67853543842850365879920759114193964e-01L, /* 3ffe89241985d871f712367104fb6111 */
3.75100035267325597157244776081706979e-36L, /* 3f893f198dc6b130814b2a2216e606ef */
L(7.67853543842850365879920759114193964e-01), /* 3ffe89241985d871f712367104fb6111 */
L(3.75100035267325597157244776081706979e-36), /* 3f893f198dc6b130814b2a2216e606ef */
/* sin(x) = 0.a400072188acf49cd6b173825e038346f105e1301afe642bcc364cea455e21e506e3e927ed8 */
6.40625425040230409188409779413961021e-01L, /* 3ffe48000e431159e939ad62e704bc07 */
2.46542747294664049615806500747173281e-36L, /* 3f88a37882f0980d7f3215e61b267523 */
L(6.40625425040230409188409779413961021e-01), /* 3ffe48000e431159e939ad62e704bc07 */
L(2.46542747294664049615806500747173281e-36), /* 3f88a37882f0980d7f3215e61b267523 */
/* x = 7.03125000000000000000000000000000000e-01 3ffe6800000000000000000000000000 */
/* cos(x) = 0.c348846bbd3631338ffe2bfe9dd1381a35b4e9c0c51b4c13fe376bad1bf5caacc4542be0aa9 */
7.62825275710576250507098753625429792e-01L, /* 3ffe869108d77a6c62671ffc57fd3ba2 */
4.22067411888601505004748939382325080e-35L, /* 3f8cc0d1ada74e0628da609ff1bb5d69 */
L(7.62825275710576250507098753625429792e-01), /* 3ffe869108d77a6c62671ffc57fd3ba2 */
L(4.22067411888601505004748939382325080e-35), /* 3f8cc0d1ada74e0628da609ff1bb5d69 */
/* sin(x) = 0.a587e23555bb08086d02b9c662cdd29316c3e9bd08d93793634a21b1810cce73bdb97a99b9e */
6.46604669591152370524042159882800763e-01L, /* 3ffe4b0fc46aab761010da05738cc59c */
-3.41742981816219412415674365946079826e-35L, /* bf8c6b6749e0b217b9364364e5aef274 */
L(6.46604669591152370524042159882800763e-01), /* 3ffe4b0fc46aab761010da05738cc59c */
L(-3.41742981816219412415674365946079826e-35), /* bf8c6b6749e0b217b9364364e5aef274 */
/* x = 7.10937500000000000000000000000000000e-01 3ffe6c00000000000000000000000000 */
/* cos(x) = 0.c1fbeef380e4ffdd5a613ec8722f643ffe814ec2343e53adb549627224fdc9f2a7b77d3d69f */
7.57750448655219342240234832230493361e-01L, /* 3ffe83f7dde701c9ffbab4c27d90e45f */
-2.08767968311222650582659938787920125e-35L, /* bf8bbc0017eb13dcbc1ac524ab69d8de */
L(7.57750448655219342240234832230493361e-01), /* 3ffe83f7dde701c9ffbab4c27d90e45f */
L(-2.08767968311222650582659938787920125e-35), /* bf8bbc0017eb13dcbc1ac524ab69d8de */
/* sin(x) = 0.a70d272a76a8d4b6da0ec90712bb748b96dabf88c3079246f3db7eea6e58ead4ed0e2843303 */
6.52544448725765956407573982284767763e-01L, /* 3ffe4e1a4e54ed51a96db41d920e2577 */
-8.61758060284379660697102362141557170e-36L, /* bf8a6e8d24a80ee79f0db721849022b2 */
L(6.52544448725765956407573982284767763e-01), /* 3ffe4e1a4e54ed51a96db41d920e2577 */
L(-8.61758060284379660697102362141557170e-36), /* bf8a6e8d24a80ee79f0db721849022b2 */
/* x = 7.18750000000000000000000000000000000e-01 3ffe7000000000000000000000000000 */
/* cos(x) = 0.c0ac518c8b6ae710ba37a3eeb90cb15aebcb8bed4356fb507a48a6e97de9aa6d9660116b436 */
7.52629372418066476054541324847143116e-01L, /* 3ffe8158a31916d5ce21746f47dd7219 */
3.71306958657663189665450864311104571e-35L, /* 3f8c8ad75e5c5f6a1ab7da83d245374c */
L(7.52629372418066476054541324847143116e-01), /* 3ffe8158a31916d5ce21746f47dd7219 */
L(3.71306958657663189665450864311104571e-35), /* 3f8c8ad75e5c5f6a1ab7da83d245374c */
/* sin(x) = 0.a88fcfebd9a8dd47e2f3c76ef9e2439920f7e7fbe735f8bcc985491ec6f12a2d4214f8cfa99 */
6.58444399910567541589583954884041989e-01L, /* 3ffe511f9fd7b351ba8fc5e78eddf3c5 */
-4.54412944084300330523721391865787219e-35L, /* bf8ce336f840c020c6503a19b3d5b70a */
L(6.58444399910567541589583954884041989e-01), /* 3ffe511f9fd7b351ba8fc5e78eddf3c5 */
L(-4.54412944084300330523721391865787219e-35), /* bf8ce336f840c020c6503a19b3d5b70a */
/* x = 7.26562500000000000000000000000000000e-01 3ffe7400000000000000000000000000 */
/* cos(x) = 0.bf59b17550a4406875969296567cf3e3b4e483061877c02811c6cae85fad5a6c3da58f49292 */
7.47462359563216166669700384714767552e-01L, /* 3ffe7eb362eaa14880d0eb2d252cacfa */
-9.11094340926220027288083639048016945e-36L, /* bf8a8389636f9f3cf107fafdc726a2f4 */
L(7.47462359563216166669700384714767552e-01), /* 3ffe7eb362eaa14880d0eb2d252cacfa */
L(-9.11094340926220027288083639048016945e-36), /* bf8a8389636f9f3cf107fafdc726a2f4 */
/* sin(x) = 0.aa0fd66eddb921232c28520d3911b8a03193b47f187f1471ac216fbcd5bb81029294d3a73f1 */
6.64304163042946276515506587432846246e-01L, /* 3ffe541facddbb7242465850a41a7223 */
4.26004843895378210155889028714676019e-35L, /* 3f8cc5018c9da3f8c3f8a38d610b7de7 */
L(6.64304163042946276515506587432846246e-01), /* 3ffe541facddbb7242465850a41a7223 */
L(4.26004843895378210155889028714676019e-35), /* 3f8cc5018c9da3f8c3f8a38d610b7de7 */
/* x = 7.34375000000000000000000000000000000e-01 3ffe7800000000000000000000000000 */
/* cos(x) = 0.be0413f84f2a771c614946a88cbf4da1d75a5560243de8f2283fefa0ea4a48468a52d51d8b3 */
7.42249725458501306991347253449610537e-01L, /* 3ffe7c0827f09e54ee38c2928d51197f */
-3.78925270049800913539923473871287550e-35L, /* bf8c92f1452d54fede10b86ebe0082f9 */
L(7.42249725458501306991347253449610537e-01), /* 3ffe7c0827f09e54ee38c2928d51197f */
L(-3.78925270049800913539923473871287550e-35), /* bf8c92f1452d54fede10b86ebe0082f9 */
/* sin(x) = 0.ab8d34b36acd987210ed343ec65d7e3adc2e7109fce43d55c8d57dfdf55b9e01d2cc1f1b9ec */
6.70123380473162894654531583500648495e-01L, /* 3ffe571a6966d59b30e421da687d8cbb */
-1.33165852952743729897634069393684656e-36L, /* bf87c523d18ef6031bc2aa372a82020b */
L(6.70123380473162894654531583500648495e-01), /* 3ffe571a6966d59b30e421da687d8cbb */
L(-1.33165852952743729897634069393684656e-36), /* bf87c523d18ef6031bc2aa372a82020b */
/* x = 7.42187500000000000000000000000000000e-01 3ffe7c00000000000000000000000000 */
/* cos(x) = 0.bcab7e6bfb2a14a9b122c574a376bec98ab14808c64a4e731b34047e217611013ac99c0f25d */
7.36991788256240741057089385586450844e-01L, /* 3ffe7956fcd7f654295362458ae946ed */
4.72358938637974850573747497460125519e-35L, /* 3f8cf64c558a404632527398d9a023f1 */
L(7.36991788256240741057089385586450844e-01), /* 3ffe7956fcd7f654295362458ae946ed */
L(4.72358938637974850573747497460125519e-35), /* 3f8cf64c558a404632527398d9a023f1 */
/* sin(x) = 0.ad07e4c409d08c4fa3a9057bb0ac24b8636e74e76f51e09bd6b2319707cbd9f5e254643897a */
6.75901697026178809189642203142423973e-01L, /* 3ffe5a0fc98813a1189f47520af76158 */
2.76252586616364878801928456702948857e-35L, /* 3f8c25c31b73a73b7a8f04deb5918cb8 */
L(6.75901697026178809189642203142423973e-01), /* 3ffe5a0fc98813a1189f47520af76158 */
L(2.76252586616364878801928456702948857e-35), /* 3f8c25c31b73a73b7a8f04deb5918cb8 */
/* x = 7.50000000000000000000000000000000000e-01 3ffe8000000000000000000000000000 */
/* cos(x) = 0.bb4ff632a908f73ec151839cb9d993b4e0bfb8f20e7e44e6e4aee845e35575c3106dbe6fd06 */
7.31688868873820886311838753000084529e-01L, /* 3ffe769fec655211ee7d82a3073973b3 */
1.48255637548931697184991710293198620e-35L, /* 3f8b3b4e0bfb8f20e7e44e6e4aee845e */
L(7.31688868873820886311838753000084529e-01), /* 3ffe769fec655211ee7d82a3073973b3 */
L(1.48255637548931697184991710293198620e-35), /* 3f8b3b4e0bfb8f20e7e44e6e4aee845e */
/* sin(x) = 0.ae7fe0b5fc786b2d966e1d6af140a488476747c2646425fc7533f532cd044cb10a971a49a6a */
6.81638760023334166733241952779893908e-01L, /* 3ffe5cffc16bf8f0d65b2cdc3ad5e281 */
2.74838775935027549024224114338667371e-35L, /* 3f8c24423b3a3e1323212fe3a99fa996 */
L(6.81638760023334166733241952779893908e-01), /* 3ffe5cffc16bf8f0d65b2cdc3ad5e281 */
L(2.74838775935027549024224114338667371e-35), /* 3f8c24423b3a3e1323212fe3a99fa996 */
/* x = 7.57812500000000000000000000000000000e-01 3ffe8400000000000000000000000000 */
/* cos(x) = 0.b9f180ba77dd0751628e135a9508299012230f14becacdd14c3f8862d122de5b56d55b53360 */
7.26341290974108590410147630237598973e-01L, /* 3ffe73e30174efba0ea2c51c26b52a10 */
3.12683579338351123545814364980658990e-35L, /* 3f8c4c80911878a5f6566e8a61fc4317 */
L(7.26341290974108590410147630237598973e-01), /* 3ffe73e30174efba0ea2c51c26b52a10 */
L(3.12683579338351123545814364980658990e-35), /* 3f8c4c80911878a5f6566e8a61fc4317 */
/* sin(x) = 0.aff522a954f2ba16d9defdc416e33f5e9a5dfd5a6c228e0abc4d521327ff6e2517a7b3851dd */
6.87334219303873534951703613035647220e-01L, /* 3ffe5fea4552a9e5742db3bdfb882dc6 */
4.76739454455410744997012795035529128e-35L, /* 3f8cfaf4d2efead361147055e26a9099 */
L(6.87334219303873534951703613035647220e-01), /* 3ffe5fea4552a9e5742db3bdfb882dc6 */
L(4.76739454455410744997012795035529128e-35), /* 3f8cfaf4d2efead361147055e26a9099 */
/* x = 7.65625000000000000000000000000000000e-01 3ffe8800000000000000000000000000 */
/* cos(x) = 0.b890237d3bb3c284b614a0539016bfa1053730bbdf940fa895e185f8e58884d3dda15e63371 */
7.20949380945696418043812784148447688e-01L, /* 3ffe712046fa776785096c2940a7202d */
4.78691285733673379499536326050811832e-35L, /* 3f8cfd0829b985defca07d44af0c2fc7 */
L(7.20949380945696418043812784148447688e-01), /* 3ffe712046fa776785096c2940a7202d */
L(4.78691285733673379499536326050811832e-35), /* 3f8cfd0829b985defca07d44af0c2fc7 */
/* sin(x) = 0.b167a4c90d63c4244cf5493b7cc23bd3c3c1225e078baa0c53d6d400b926281f537a1a260e6 */
6.92987727246317910281815490823048210e-01L, /* 3ffe62cf49921ac7884899ea9276f984 */
4.50089871077663557180849219529189918e-35L, /* 3f8cde9e1e0912f03c5d50629eb6a006 */
L(6.92987727246317910281815490823048210e-01), /* 3ffe62cf49921ac7884899ea9276f984 */
L(4.50089871077663557180849219529189918e-35), /* 3f8cde9e1e0912f03c5d50629eb6a006 */
/* x = 7.73437500000000000000000000000000000e-01 3ffe8c00000000000000000000000000 */
/* cos(x) = 0.b72be40067aaf2c050dbdb7a14c3d7d4f203f6b3f0224a4afe55d6ec8e92b508fd5c5984b3b */
7.15513467882981573520620561289896903e-01L, /* 3ffe6e57c800cf55e580a1b7b6f42988 */
-3.02191815581445336509438104625489192e-35L, /* bf8c41586fe04a607eedada80d51489c */
L(7.15513467882981573520620561289896903e-01), /* 3ffe6e57c800cf55e580a1b7b6f42988 */
L(-3.02191815581445336509438104625489192e-35), /* bf8c41586fe04a607eedada80d51489c */
/* sin(x) = 0.b2d7614b1f3aaa24df2d6e20a77e1ca3e6d838c03e29c1bcb026e6733324815fadc9eb89674 */
6.98598938789681741301929277107891591e-01L, /* 3ffe65aec2963e755449be5adc414efc */
2.15465226809256290914423429408722521e-35L, /* 3f8bca3e6d838c03e29c1bcb026e6733 */
L(6.98598938789681741301929277107891591e-01), /* 3ffe65aec2963e755449be5adc414efc */
L(2.15465226809256290914423429408722521e-35), /* 3f8bca3e6d838c03e29c1bcb026e6733 */
/* x = 7.81250000000000000000000000000000000e-01 3ffe9000000000000000000000000000 */
/* cos(x) = 0.b5c4c7d4f7dae915ac786ccf4b1a498d3e73b6e5e74fe7519d9c53ee6d6b90e881bddfc33e1 */
7.10033883566079674974121643959490219e-01L, /* 3ffe6b898fa9efb5d22b58f0d99e9635 */
-4.09623224763692443220896752907902465e-35L, /* bf8cb3960c6248d0c580c573131d608d */
L(7.10033883566079674974121643959490219e-01), /* 3ffe6b898fa9efb5d22b58f0d99e9635 */
L(-4.09623224763692443220896752907902465e-35), /* bf8cb3960c6248d0c580c573131d608d */
/* sin(x) = 0.b44452709a59752905913765434a59d111f0433eb2b133f7d103207e2aeb4aae111ddc385b3 */
7.04167511454533672780059509973942844e-01L, /* 3ffe6888a4e134b2ea520b226eca8695 */
-2.87259372740393348676633610275598640e-35L, /* bf8c3177707de60a6a76604177e6fc0f */
L(7.04167511454533672780059509973942844e-01), /* 3ffe6888a4e134b2ea520b226eca8695 */
L(-2.87259372740393348676633610275598640e-35), /* bf8c3177707de60a6a76604177e6fc0f */
/* x = 7.89062500000000000000000000000000000e-01 3ffe9400000000000000000000000000 */
/* cos(x) = 0.b45ad4975b1294cadca4cf40ec8f22a68cd14b175835239a37e63acb85e8e9505215df18140 */
7.04510962440574606164129481545916976e-01L, /* 3ffe68b5a92eb6252995b9499e81d91e */
2.60682037357042658395360726992048803e-35L, /* 3f8c1534668a58bac1a91cd1bf31d65c */
L(7.04510962440574606164129481545916976e-01), /* 3ffe68b5a92eb6252995b9499e81d91e */
L(2.60682037357042658395360726992048803e-35), /* 3f8c1534668a58bac1a91cd1bf31d65c */
/* sin(x) = 0.b5ae7285bc10cf515753847e8f8b7a30e0a580d929d770103509880680f7b8b0e8ad23b65d8 */
7.09693105363899724959669028139035515e-01L, /* 3ffe6b5ce50b78219ea2aea708fd1f17 */
-4.37026016974122945368562319136420097e-36L, /* bf8973c7d69fc9b58a23fbf2bd9dfe60 */
L(7.09693105363899724959669028139035515e-01), /* 3ffe6b5ce50b78219ea2aea708fd1f17 */
L(-4.37026016974122945368562319136420097e-36), /* bf8973c7d69fc9b58a23fbf2bd9dfe60 */
};

2
sysdeps/ieee754/ldbl-128/x2y2m1l.c
View File

@ -61,7 +61,7 @@ __x2y2m1l (_Float128 x, _Float128 y)
SET_RESTORE_ROUNDL (FE_TONEAREST);
mul_splitl (&vals[1], &vals[0], x, x);
mul_splitl (&vals[3], &vals[2], y, y);
vals[4] = -1.0L;
vals[4] = -1;
qsort (vals, 5, sizeof (_Float128), compare);
/* Add up the values so that each element of VALS has absolute value
at most equal to the last set bit of the next nonzero