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musl/src/math
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nsz f697d66b81 math: change the formula used for acos.s 
old: 2*atan2(sqrt(1-x),sqrt(1+x))
new: atan2(fabs(sqrt((1-x)*(1+x))),x)
improvements:
* all edge cases are fixed (sign of zero in downward rounding)
* a bit faster (here a single call is about 131ns vs 162ns)
* a bit more precise (at most 1ulp error on 1M uniform random
samples in [0,1), the old formula gave some 2ulp errors as well)
2012-05-05 01:11:56 +02:00
..
i386 math: change the formula used for acos.s 2012-05-05 01:11:56 +02:00
x86_64 math: change the formula used for acos.s 2012-05-05 01:11:56 +02:00
__cos.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
__cosdf.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
__cosl.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
__expo2.c clean up __expo2.c, use a slightly better k constant 2012-03-13 16:38:22 +01:00
__expo2f.c clean up __expo2.c, use a slightly better k constant 2012-03-13 16:38:22 +01:00
__fpclassify.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
__fpclassifyf.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
__fpclassifyl.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
__invtrigl.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
__invtrigl.h first commit of the new libm! 2012-03-13 01:17:53 -04:00
__log1p.h first commit of the new libm! 2012-03-13 01:17:53 -04:00
__log1pf.h math cleanup: use 1.0f instead of (float)1.0 2012-03-13 20:24:23 +01:00
__polevll.c fix loads of missing const in new libm, and some global vars (?!) in powl 2012-03-18 01:58:28 -04:00
__rem_pio2.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
__rem_pio2_large.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
__rem_pio2f.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
__rem_pio2l.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
__signbit.c remove a fixme comment 2012-03-20 20:08:35 +01:00
__signbitf.c remove a fixme comment 2012-03-20 20:08:35 +01:00
__signbitl.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
__sin.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
__sindf.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
__sinl.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
__tan.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
__tandf.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
__tanl.c minor fix in __tanl (get sign properly) 2012-03-19 19:14:32 +01:00
acos.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
acosf.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
acosh.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
acoshf.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
acoshl.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
acosl.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
asin.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
asinf.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
asinh.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
asinhf.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
asinhl.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
asinl.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
atan.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
atan2.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
atan2f.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
atan2l.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
atanf.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
atanh.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
atanhf.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
atanhl.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
atanl.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
cbrt.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
cbrtf.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
cbrtl.c fix a cbrtl.c regression and remove x87 precision setting 2012-03-20 15:17:15 +01:00
ceil.c math: minor cleanups in ceil and floor 2012-03-29 14:09:57 +02:00
ceilf.c math: minor cleanups in ceil and floor 2012-03-29 14:09:57 +02:00
ceill.c math: minor cleanups in ceil and floor 2012-03-29 14:09:57 +02:00
copysign.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
copysignf.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
copysignl.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
cos.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
cosf.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
cosh.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
coshf.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
coshl.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
cosl.c don't inline __rem_pio2l so the code size is smaller 2012-03-19 19:26:31 +01:00
erf.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
erff.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
erfl.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
exp.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
exp2.c fix loads of missing const in new libm, and some global vars (?!) in powl 2012-03-18 01:58:28 -04:00
exp2f.c fix loads of missing const in new libm, and some global vars (?!) in powl 2012-03-18 01:58:28 -04:00
exp2l.c fix loads of missing const in new libm, and some global vars (?!) in powl 2012-03-18 01:58:28 -04:00
exp10.c support alternate glibc name pow10 for exp10 2012-05-01 00:07:37 -04:00
exp10f.c support alternate glibc name pow10 for exp10 2012-05-01 00:07:37 -04:00
exp10l.c support alternate glibc name pow10 for exp10 2012-05-01 00:07:37 -04:00
expf.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
expl.c use scalbn or *2.0 instead of ldexp, fix fmal 2012-03-19 22:57:58 +01:00
expm1.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
expm1f.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
expm1l.c use scalbn or *2.0 instead of ldexp, fix fmal 2012-03-19 22:57:58 +01:00
fabs.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
fabsf.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
fabsl.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
fdim.c remove libm.h includes when math.h and float.h are enough 2012-03-13 19:51:14 +01:00
fdimf.c remove libm.h includes when math.h and float.h are enough 2012-03-13 19:51:14 +01:00
fdiml.c remove libm.h includes when math.h and float.h are enough 2012-03-13 19:51:14 +01:00
floor.c math: minor cleanups in ceil and floor 2012-03-29 14:09:57 +02:00
floorf.c math cleanup: use 1.0f instead of (float)1.0 2012-03-13 20:24:23 +01:00
floorl.c math: minor cleanups in ceil and floor 2012-03-29 14:09:57 +02:00
fma.c use scalbn or *2.0 instead of ldexp, fix fmal 2012-03-19 22:57:58 +01:00
fmaf.c make fma and lrint functions build without full fenv support 2012-03-16 23:58:49 -04:00
fmal.c use scalbn or *2.0 instead of ldexp, fix fmal 2012-03-19 22:57:58 +01:00
fmax.c remove libm.h includes when math.h and float.h are enough 2012-03-13 19:51:14 +01:00
fmaxf.c remove libm.h includes when math.h and float.h are enough 2012-03-13 19:51:14 +01:00
fmaxl.c remove libm.h includes when math.h and float.h are enough 2012-03-13 19:51:14 +01:00
fmin.c remove libm.h includes when math.h and float.h are enough 2012-03-13 19:51:14 +01:00
fminf.c remove libm.h includes when math.h and float.h are enough 2012-03-13 19:51:14 +01:00
fminl.c remove libm.h includes when math.h and float.h are enough 2012-03-13 19:51:14 +01:00
fmod.c don't try to create non-standard denormalization signal 2012-03-19 23:30:45 +01:00
fmodf.c don't try to create non-standard denormalization signal 2012-03-19 23:30:45 +01:00
fmodl.c don't try to create non-standard denormalization signal 2012-03-19 23:30:45 +01:00
frexp.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
frexpf.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
frexpl.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
hypot.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
hypotf.c math cleanup: use 1.0f instead of 1.0F 2012-03-13 21:11:46 +01:00
hypotl.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
ilogb.c remove libm.h includes when math.h and float.h are enough 2012-03-13 19:51:14 +01:00
ilogbf.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
ilogbl.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
j0.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
j0f.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
j1.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
j1f.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
jn.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
jnf.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
ldexp.c remove libm.h includes when math.h and float.h are enough 2012-03-13 19:51:14 +01:00
ldexpf.c remove libm.h includes when math.h and float.h are enough 2012-03-13 19:51:14 +01:00
ldexpl.c remove libm.h includes when math.h and float.h are enough 2012-03-13 19:51:14 +01:00
lgamma.c math: remove comment about aliasing lgamma as gamma 2012-03-27 22:12:20 +02:00
lgamma_r.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
lgammaf.c math: remove comment about aliasing lgamma as gamma 2012-03-27 22:12:20 +02:00
lgammaf_r.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
lgammal.c math: remove comment about aliasing lgamma as gamma 2012-03-27 22:12:20 +02:00
llrint.c make lrint and llrint functions work without fenv support 2012-03-18 20:40:43 +01:00
llrintf.c make lrint and llrint functions work without fenv support 2012-03-18 20:40:43 +01:00
llrintl.c make lrint and llrint functions work without fenv support 2012-03-18 20:40:43 +01:00
llround.c simplify lround and llround functions 2012-03-18 20:52:33 +01:00
llroundf.c simplify lround and llround functions 2012-03-18 20:52:33 +01:00
llroundl.c simplify lround and llround functions 2012-03-18 20:52:33 +01:00
log.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
log1p.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
log1pf.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
log1pl.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
log2.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
log2f.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
log2l.c use scalbn or *2.0 instead of ldexp, fix fmal 2012-03-19 22:57:58 +01:00
log10.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
log10f.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
log10l.c use scalbn or *2.0 instead of ldexp, fix fmal 2012-03-19 22:57:58 +01:00
logb.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
logbf.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
logbl.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
logf.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
logl.c use scalbn or *2.0 instead of ldexp, fix fmal 2012-03-19 22:57:58 +01:00
lrint.c make lrint and llrint functions work without fenv support 2012-03-18 20:40:43 +01:00
lrintf.c make lrint and llrint functions work without fenv support 2012-03-18 20:40:43 +01:00
lrintl.c make lrint and llrint functions work without fenv support 2012-03-18 20:40:43 +01:00
lround.c simplify lround and llround functions 2012-03-18 20:52:33 +01:00
lroundf.c simplify lround and llround functions 2012-03-18 20:52:33 +01:00
lroundl.c simplify lround and llround functions 2012-03-18 20:52:33 +01:00
modf.c math: rewrite modf.c and clean up modff.c 2012-03-29 14:03:18 +02:00
modff.c math: rewrite modf.c and clean up modff.c 2012-03-29 14:03:18 +02:00
modfl.c math: fix modfl.c bug 2012-03-28 23:51:09 +02:00
nan.c implement nan, nanf, nanl 2012-03-13 01:55:25 -04:00
nanf.c implement nan, nanf, nanl 2012-03-13 01:55:25 -04:00
nanl.c implement nan, nanf, nanl 2012-03-13 01:55:25 -04:00
nearbyint.c nearbyint optimization (only clear inexact when necessary) 2012-03-20 22:49:19 +01:00
nearbyintf.c nearbyint optimization (only clear inexact when necessary) 2012-03-20 22:49:19 +01:00
nearbyintl.c nearbyint optimization (only clear inexact when necessary) 2012-03-20 22:49:19 +01:00
nextafter.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
nextafterf.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
nextafterl.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
nexttoward.c remove libm.h includes when math.h and float.h are enough 2012-03-13 19:51:14 +01:00
nexttowardf.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
nexttowardl.c remove libm.h includes when math.h and float.h are enough 2012-03-13 19:51:14 +01:00
pow.c clean up pow.c and powf.c 2012-03-20 20:04:53 +01:00
powf.c clean up pow.c and powf.c 2012-03-20 20:04:53 +01:00
powl.c math: fix a regression in powl and do some cleanups 2012-03-27 22:49:37 +02:00
remainder.c fix remainder*.c: remove useless long double cast 2012-03-19 23:39:47 +01:00
remainderf.c fix remainder*.c: remove useless long double cast 2012-03-19 23:39:47 +01:00
remainderl.c remove libm.h includes when math.h and float.h are enough 2012-03-13 19:51:14 +01:00
remquo.c remove a fixme comment 2012-03-20 20:08:35 +01:00
remquof.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
remquol.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
rint.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
rintf.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
rintl.c minor rintl.c fix: remove unsupported ldbl format message 2012-03-23 01:26:04 +01:00
round.c remove libm.h includes when math.h and float.h are enough 2012-03-13 19:51:14 +01:00
roundf.c remove libm.h includes when math.h and float.h are enough 2012-03-13 19:51:14 +01:00
roundl.c remove libm.h includes when math.h and float.h are enough 2012-03-13 19:51:14 +01:00
scalb.c remove libm.h includes when math.h and float.h are enough 2012-03-13 19:51:14 +01:00
scalbf.c math cleanup: use 1.0f instead of (float)1.0 2012-03-13 20:24:23 +01:00
scalbln.c remove libm.h includes when math.h and float.h are enough 2012-03-13 19:51:14 +01:00
scalblnf.c remove libm.h includes when math.h and float.h are enough 2012-03-13 19:51:14 +01:00
scalblnl.c remove libm.h includes when math.h and float.h are enough 2012-03-13 19:51:14 +01:00
scalbn.c simplify scalbn*.c implementations 2012-03-19 10:54:07 +01:00
scalbnf.c simplify scalbn*.c implementations 2012-03-19 10:54:07 +01:00
scalbnl.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
signgam.c make signgam a weak alias for an internal symbol 2012-03-16 21:18:48 -04:00
sin.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
sincos.c efficient sincos based on sin and cos 2012-03-15 08:17:28 +01:00
sincosf.c efficient sincos based on sin and cos 2012-03-15 08:17:28 +01:00
sincosl.c don't inline __rem_pio2l so the code size is smaller 2012-03-19 19:26:31 +01:00
sinf.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
sinh.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
sinhf.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
sinhl.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
sinl.c don't inline __rem_pio2l so the code size is smaller 2012-03-19 19:26:31 +01:00
sqrt.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
sqrtf.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
sqrtl.c add C stub for sqrtl (already implemented in asm on i386 and x86_64) 2012-04-30 21:32:19 -04:00
tan.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
tanf.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
tanh.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
tanhf.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
tanhl.c code cleanup of named constants 2012-03-19 23:41:19 +01:00
tanl.c don't inline __rem_pio2l so the code size is smaller 2012-03-19 19:26:31 +01:00
tgamma.c math: add dummy tgamma and tgammaf implementations 2012-03-27 22:17:36 +02:00
tgammaf.c math: add dummy tgamma and tgammaf implementations 2012-03-27 22:17:36 +02:00
tgammal.c fix tgammal: don't set the signgam global 2012-03-23 01:18:12 +01:00
trunc.c first commit of the new libm! 2012-03-13 01:17:53 -04:00
truncf.c math cleanup: use 1.0f instead of 1.0F 2012-03-13 21:11:46 +01:00
truncl.c first commit of the new libm! 2012-03-13 01:17:53 -04:00