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-rw-r--r--sysdeps/ieee754/ldbl-128/s_atanl.c206
1 files changed, 104 insertions, 102 deletions
diff --git a/sysdeps/ieee754/ldbl-128/s_atanl.c b/sysdeps/ieee754/ldbl-128/s_atanl.c
index aaae701551..022ccf4c45 100644
--- a/sysdeps/ieee754/ldbl-128/s_atanl.c
+++ b/sysdeps/ieee754/ldbl-128/s_atanl.c
@@ -62,93 +62,95 @@
#include <float.h>
#include <math.h>
#include <math_private.h>
+#include <math-underflow.h>
+#include <libm-alias-ldouble.h>
/* arctan(k/8), k = 0, ..., 82 */
-static const long double 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 */
+static const _Float128 atantbl[84] = {
+ 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 */
};
@@ -156,26 +158,26 @@ static const long double atantbl[84] = {
|t| <= 0.09375
peak relative error 5.3e-37 */
-static const long double
- 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;
+static const _Float128
+ 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 long double huge = 1.0e4930L;
+static const _Float128 huge = L(1.0e4930);
-long double
-__atanl (long double x)
+_Float128
+__atanl (_Float128 x)
{
int k, sign;
- long double t, u, p, q;
+ _Float128 t, u, p, q;
ieee854_long_double_shape_type s;
s.value = x;
@@ -231,7 +233,7 @@ __atanl (long double x)
Roundoff to integer is asymmetrical to avoid cancellation when t < 0
(cf. fdlibm). */
k = 8.0 * x + 0.25;
- u = 0.125 * k;
+ u = L(0.125) * k;
/* Small arctan argument. */
t = (x - u) / (1.0 + x * u);
}
@@ -250,4 +252,4 @@ __atanl (long double x)
return u;
}
-weak_alias (__atanl, atanl)
+libm_alias_ldouble (__atan, atan)