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19.7 Known Maximum Errors in Math Functions

This section lists the known errors of the functions in the math library. Errors are measured in “units of the last place”. This is a measure for the relative error. For a number z with the representation d.d…d·2^e (we assume IEEE floating-point numbers with base 2) the ULP is represented by

|d.d...d - (z / 2^e)| / 2^(p - 1)

where p is the number of bits in the mantissa of the floating-point number representation. Ideally the error for all functions is always less than 0.5ulps in round-to-nearest mode. Using rounding bits this is also possible and normally implemented for the basic operations. Except for certain functions such as sqrt, fma and rint whose results are fully specified by reference to corresponding IEEE 754 floating-point operations, and conversions between strings and floating point, the GNU C Library does not aim for correctly rounded results for functions in the math library, and does not aim for correctness in whether “inexact” exceptions are raised. Instead, the goals for accuracy of functions without fully specified results are as follows; some functions have bugs meaning they do not meet these goals in all cases. In the future, the GNU C Library may provide some other correctly rounding functions under the names such as crsin proposed for an extension to ISO C.

Therefore many of the functions in the math library have errors. The table lists the maximum error for each function which is exposed by one of the existing tests in the test suite. The table tries to cover as much as possible and list the actual maximum error (or at least a ballpark figure) but this is often not achieved due to the large search space.

The table lists the ULP values for different architectures. Different architectures have different results since their hardware support for floating-point operations varies and also the existing hardware support is different.

FunctionAArch64ARMAlphaColdFireGeneric
acosf111--
acos-----
acosl1-1--
acoshf222--
acosh222--
acoshl2-2--
asinf111--
asin-----
asinl1-1--
asinhf111--
asinh111--
asinhl3-3--
atanf111--
atan1----
atanl1-1--
atanhf2221-
atanh222--
atanhl3-3--
atan2f1111-
atan2-----
atan2l1-1--
cabsf-----
cabs111--
cabsl1-1--
cacosf2 + i 22 + i 22 + i 2--
cacos1 + i 11 + i 11 + i 1--
cacosl2 + i 2-2 + i 2--
cacoshf2 + i 22 + i 22 + i 20 + i 1-
cacosh1 + i 11 + i 11 + i 1--
cacoshl2 + i 2-2 + i 2--
cargf111--
carg1----
cargl2-2--
casinf1 + i 21 + i 21 + i 21 + i 0-
casin1 + i 11 + i 11 + i 11 + i 0-
casinl2 + i 2-2 + i 2--
casinhf2 + i 12 + i 12 + i 11 + i 6-
casinh1 + i 11 + i 11 + i 15 + i 3-
casinhl2 + i 2-2 + i 2--
catanf1 + i 11 + i 11 + i 10 + i 1-
catan0 + i 10 + i 10 + i 10 + i 1-
catanl1 + i 1-1 + i 1--
catanhf1 + i 11 + i 11 + i 1--
catanh1 + i 01 + i 01 + i 04 + i 0-
catanhl1 + i 1-1 + i 1--
cbrtf111--
cbrt3331-
cbrtl1-1--
ccosf1 + i 11 + i 11 + i 11 + i 1-
ccos1 + i 11 + i 11 + i 11 + i 0-
ccosl1 + i 1-1 + i 1--
ccoshf1 + i 11 + i 11 + i 11 + i 1-
ccosh1 + i 11 + i 11 + i 11 + i 0-
ccoshl1 + i 1-1 + i 1--
ceilf-----
ceil-----
ceill-----
cexpf1 + i 21 + i 21 + i 21 + i 1-
cexp2 + i 12 + i 12 + i 1--
cexpl1 + i 1-1 + i 1--
cimagf-----
cimag-----
cimagl-----
clogf3 + i 13 + i 13 + i 11 + i 0-
clog3 + i 13 + i 03 + i 0--
clogl2 + i 1-2 + i 1--
clog10f4 + i 24 + i 24 + i 21 + i 1-
clog103 + i 23 + i 23 + i 20 + i 1-
clog10l2 + i 2-2 + i 2--
conjf-----
conj-----
conjl-----
copysignf-----
copysign-----
copysignl-----
cosf1111-
cos---2-
cosl1-1--
coshf111--
cosh111--
coshl1-1--
cpowf5 + i 24 + i 24 + i 24 + i 2-
cpow2 + i 02 + i 02 + i 02 + i 2-
cpowl4 + i 1-4 + i 1--
cprojf-----
cproj-----
cprojl-----
crealf-----
creal-----
creall-----
csinf1 + i 01 + i 01 + i 0--
csin1 + i 01 + i 01 + i 0--
csinl1 + i 1-1 + i 1--
csinhf1 + i 11 + i 11 + i 11 + i 1-
csinh0 + i 10 + i 10 + i 10 + i 1-
csinhl1 + i 1-1 + i 1--
csqrtf2 + i 22 + i 22 + i 21 + i 0-
csqrt2 + i 22 + i 22 + i 2--
csqrtl2 + i 2-2 + i 2--
ctanf1 + i 11 + i 11 + i 1--
ctan1 + i 21 + i 21 + i 20 + i 1-
ctanl3 + i 3-3 + i 3--
ctanhf2 + i 11 + i 21 + i 22 + i 1-
ctanh2 + i 22 + i 22 + i 21 + i 0-
ctanhl3 + i 3-3 + i 3--
erff111--
erf1111-
erfl1-1--
erfcf222--
erfc2331-
erfcl2-2--
expf111--
exp-----
expl1-1--
exp10f---2-
exp102226-
exp10l2-2--
exp2f111--
exp2111--
exp2l1-1--
expm1f1111-
expm11111-
expm1l1-1--
fabsf-----
fabs-----
fabsl-----
fdimf-----
fdim-----
fdiml-----
floorf-----
floor-----
floorl-----
fmaf-----
fma-----
fmal-----
fmaxf-----
fmax-----
fmaxl-----
fmaxmagf-----
fmaxmag-----
fmaxmagl-----
fminf-----
fmin-----
fminl-----
fminmagf-----
fminmag-----
fminmagl-----
fmodf-----
fmod-----
fmodl-----
frexpf-----
frexp-----
frexpl-----
fromfpf-----
fromfp-----
fromfpl-----
fromfpxf-----
fromfpx-----
fromfpxl-----
gammaf444--
gamma344--
gammal5-5--
hypotf---1-
hypot111--
hypotl1-1--
ilogbf-----
ilogb-----
ilogbl-----
j0f2222-
j02222-
j0l2-2--
j1f2222-
j11111-
j1l4-4--
jnf4444-
jn4444-
jnl7-7--
lgammaf4442-
lgamma3441-
lgammal5-5--
llogbf-----
llogb-----
llogbl-----
lrintf-----
lrint-----
lrintl-----
llrintf-----
llrint-----
llrintl-----
logf111--
log-----
logl1-1--
log10f2222-
log102221-
log10l1-1--
log1pf1111-
log1p111--
log1pl2-2--
log2f111--
log2122--
log2l2-2--
logbf-----
logb-----
logbl-----
lroundf-----
lround-----
lroundl-----
llroundf-----
llround-----
llroundl-----
modff-----
modf-----
modfl-----
nearbyintf-----
nearbyint-----
nearbyintl-----
nextafterf-----
nextafter-----
nextafterl-----
nextdownf-----
nextdown-----
nextdownl-----
nexttowardf-----
nexttoward-----
nexttowardl-----
nextupf-----
nextup-----
nextupl-----
powf111--
pow-----
powl2-2--
remainderf-----
remainder-----
remainderl-----
remquof-----
remquo-----
remquol-----
rintf-----
rint-----
rintl-----
roundf-----
round-----
roundl-----
roundevenf-----
roundeven-----
roundevenl-----
scalbf-----
scalb-----
scalbl-----
scalbnf-----
scalbn-----
scalbnl-----
sinf111--
sin-----
sinl1-1--
sincosf1111-
sincos---1-
sincosl1-1--
sinhf222--
sinh222--
sinhl2-2--
sqrtf-----
sqrt-----
sqrtl-----
tanf111--
tan---1-
tanl1-1--
tanhf222--
tanh222--
tanhl2-2--
tgammaf4441-
tgamma5551-
tgammal4-4--
truncf-----
trunc-----
truncl-----
ufromfpf-----
ufromfp-----
ufromfpl-----
ufromfpxf-----
ufromfpx-----
ufromfpxl-----
y0f1111-
y02222-
y0l3-3--
y1f2222-
y13333-
y1l2-2--
ynf2222-
yn3333-
ynl5-5--
FunctionHPPAIA64M68kMIPS 32-bitMIPS 64-bit
acosf1--11
acos-----
acosl----1
acoshf2-122
acosh2-122
acoshl--1-2
asinf1--11
asin-----
asinl----1
asinhf1-111
asinh1-111
asinhl--1-3
atanf1--11
atan-----
atanl----1
atanhf2--22
atanh2--22
atanhl----3
atan2f1-111
atan2-----
atan2l--1-1
cabsf-----
cabs1-111
cabsl--1-1
cacosf2 + i 22 + i 22 + i 12 + i 22 + i 2
cacos1 + i 11 + i 11 + i 11 + i 11 + i 1
cacosl-1 + i 21 + i 2-2 + i 2
cacoshf2 + i 22 + i 21 + i 22 + i 22 + i 2
cacosh1 + i 11 + i 11 + i 11 + i 11 + i 1
cacoshl-2 + i 12 + i 1-2 + i 2
cargf1-111
carg-----
cargl--1-2
casinf1 + i 21 + i 21 + i 11 + i 21 + i 2
casin1 + i 11 + i 11 + i 11 + i 11 + i 1
casinl1 + i 01 + i 21 + i 2-2 + i 2
casinhf2 + i 12 + i 11 + i 12 + i 12 + i 1
casinh5 + i 31 + i 11 + i 11 + i 11 + i 1
casinhl5 + i 32 + i 12 + i 1-2 + i 2
catanf1 + i 10 + i 10 + i 11 + i 11 + i 1
catan0 + i 10 + i 10 + i 10 + i 10 + i 1
catanl0 + i 10 + i 11 + i 1-1 + i 1
catanhf1 + i 11 + i 01 + i 01 + i 11 + i 1
catanh4 + i 01 + i 01 + i 01 + i 01 + i 0
catanhl4 + i 01 + i 01 + i 1-1 + i 1
cbrtf1-111
cbrt3-133
cbrtl1-1-1
ccosf1 + i 10 + i 1-1 + i 11 + i 1
ccos1 + i 11 + i 1-1 + i 11 + i 1
ccosl1 + i 01 + i 11 + i 1-1 + i 1
ccoshf1 + i 11 + i 1-1 + i 11 + i 1
ccosh1 + i 11 + i 1-1 + i 11 + i 1
ccoshl1 + i 00 + i 10 + i 1-1 + i 1
ceilf-----
ceil-----
ceill-----
cexpf1 + i 21 + i 2-1 + i 21 + i 2
cexp2 + i 12 + i 1-2 + i 12 + i 1
cexpl-1 + i 11 + i 1-1 + i 1
cimagf-----
cimag-----
cimagl-----
clogf3 + i 11 + i 02 + i 13 + i 13 + i 1
clog3 + i 01 + i 13 + i 13 + i 03 + i 0
clogl-1 + i 13 + i 1-2 + i 1
clog10f4 + i 22 + i 12 + i 14 + i 24 + i 2
clog103 + i 22 + i 12 + i 13 + i 23 + i 2
clog10l0 + i 11 + i 13 + i 2-2 + i 2
conjf-----
conj-----
conjl-----
copysignf-----
copysign-----
copysignl-----
cosf1--11
cos211--
cosl2---1
coshf1--11
cosh1--11
coshl----1
cpowf4 + i 25 + i 23 + i 54 + i 24 + i 2
cpow2 + i 22 + i 01 + i 02 + i 02 + i 0
cpowl2 + i 23 + i 43 + i 1-4 + i 1
cprojf-----
cproj-----
cprojl-----
crealf-----
creal-----
creall-----
csinf1 + i 01 + i 1-1 + i 01 + i 0
csin1 + i 01 + i 0-1 + i 01 + i 0
csinl-1 + i 01 + i 0-1 + i 1
csinhf1 + i 11 + i 1-1 + i 11 + i 1
csinh0 + i 11 + i 1-0 + i 10 + i 1
csinhl0 + i 11 + i 01 + i 0-1 + i 1
csqrtf2 + i 21 + i 11 + i 12 + i 22 + i 2
csqrt2 + i 21 + i 11 + i 12 + i 22 + i 2
csqrtl-1 + i 12 + i 2-2 + i 2
ctanf1 + i 11 + i 11 + i 11 + i 11 + i 1
ctan1 + i 21 + i 21 + i 11 + i 21 + i 2
ctanl0 + i 12 + i 22 + i 2-3 + i 3
ctanhf1 + i 21 + i 11 + i 21 + i 21 + i 2
ctanh2 + i 22 + i 21 + i 12 + i 22 + i 2
ctanhl1 + i 01 + i 22 + i 2-3 + i 3
erff1-111
erf1--11
erfl1-1-1
erfcf2-122
erfc3--33
erfcl1-2-2
expf1--11
exp-----
expl----1
exp10f2----
exp106--22
exp10l6---2
exp2f1--11
exp21-111
exp2l----1
expm1f1--11
expm11--11
expm1l11--1
fabsf-----
fabs-----
fabsl-----
fdimf-----
fdim-----
fdiml-----
floorf-----
floor-----
floorl-----
fmaf-----
fma-----
fmal-----
fmaxf-----
fmax-----
fmaxl-----
fmaxmagf-----
fmaxmag-----
fmaxmagl-----
fminf-----
fmin-----
fminl-----
fminmagf-----
fminmag-----
fminmagl-----
fmodf-----
fmod-----
fmodl-----
frexpf-----
frexp-----
frexpl-----
fromfpf-----
fromfp-----
fromfpl-----
fromfpxf-----
fromfpx-----
fromfpxl-----
gammaf4-144
gamma4--44
gammal--2-5
hypotf1----
hypot1-111
hypotl--1-1
ilogbf-----
ilogb-----
ilogbl-----
j0f22222
j022122
j0l222-2
j1f22222
j111-11
j1l111-4
jnf54244
jn44244
jnl444-7
lgammaf4-144
lgamma4--44
lgammal1-2-5
llogbf-----
llogb-----
llogbl-----
lrintf-----
lrint-----
lrintl-----
llrintf-----
llrint-----
llrintl-----
logf1--11
log-----
logl----1
log10f2--22
log102--22
log10l1---1
log1pf1--11
log1p1--11
log1pl----2
log2f1--11
log22--22
log2l----2
logbf-----
logb-----
logbl-----
lroundf-----
lround-----
lroundl-----
llroundf-----
llround-----
llroundl-----
modff-----
modf-----
modfl-----
nearbyintf-----
nearbyint-----
nearbyintl-----
nextafterf-----
nextafter-----
nextafterl-----
nextdownf-----
nextdown-----
nextdownl-----
nexttowardf-----
nexttoward-----
nexttowardl-----
nextupf-----
nextup-----
nextupl-----
powf1-711
pow--1--
powl--9-2
remainderf-----
remainder-----
remainderl-----
remquof-----
remquo-----
remquol-----
rintf-----
rint-----
rintl-----
roundf-----
round-----
roundl-----
roundevenf-----
roundeven-----
roundevenl-----
scalbf-----
scalb-----
scalbl-----
scalbnf-----
scalbn-----
scalbnl-----
sinf1--11
sin-11--
sinl----1
sincosf1--11
sincos11---
sincosl1---1
sinhf2--22
sinh2--22
sinhl----2
sqrtf-----
sqrt-----
sqrtl-----
tanf1--11
tan1----
tanl1---1
tanhf2--22
tanh2--22
tanhl----2
tgammaf4-444
tgamma5-155
tgammal119-4
truncf-----
trunc-----
truncl-----
ufromfpf-----
ufromfp-----
ufromfpl-----
ufromfpxf-----
ufromfpx-----
ufromfpxl-----
y0f11111
y022122
y0l211-3
y1f22322
y133133
y1l322-2
ynf23322
yn33233
ynl324-5
FunctionMicroBlazeNios IIPowerPCPowerPC soft-floatS/390
acosf-1111
acos-----
acosl--111
acoshf-2222
acosh12222
acoshl--212
asinf-1111
asin-----
asinl--221
asinhf11111
asinh11111
asinhl--223
atanf-1111
atan--1--
atanl--111
atanhf12222
atanh-2222
atanhl--223
atan2f11111
atan2-----
atan2l--221
cabsf-----
cabs-1111
cabsl--111
cacosf2 + i 22 + i 22 + i 22 + i 22 + i 2
cacos1 + i 11 + i 11 + i 11 + i 11 + i 1
cacosl--1 + i 22 + i 12 + i 2
cacoshf2 + i 22 + i 22 + i 22 + i 22 + i 2
cacosh1 + i 11 + i 11 + i 11 + i 11 + i 1
cacoshl--2 + i 11 + i 22 + i 2
cargf-1111
carg--1--
cargl--222
casinf1 + i 21 + i 21 + i 21 + i 21 + i 2
casin1 + i 11 + i 11 + i 11 + i 11 + i 1
casinl--1 + i 22 + i 12 + i 2
casinhf2 + i 12 + i 12 + i 12 + i 12 + i 1
casinh1 + i 11 + i 11 + i 11 + i 11 + i 1
casinhl--2 + i 11 + i 22 + i 2
catanf1 + i 11 + i 11 + i 11 + i 11 + i 1
catan0 + i 10 + i 10 + i 10 + i 10 + i 1
catanl--1 + i 11 + i 11 + i 1
catanhf1 + i 11 + i 11 + i 11 + i 11 + i 1
catanh1 + i 01 + i 01 + i 01 + i 01 + i 0
catanhl--1 + i 11 + i 11 + i 1
cbrtf11111
cbrt13333
cbrtl--111
ccosf1 + i 11 + i 11 + i 11 + i 11 + i 1
ccos1 + i 11 + i 11 + i 11 + i 11 + i 1
ccosl--1 + i 21 + i 21 + i 1
ccoshf1 + i 11 + i 11 + i 11 + i 11 + i 1
ccosh1 + i 11 + i 11 + i 11 + i 11 + i 1
ccoshl--1 + i 21 + i 21 + i 1
ceilf-----
ceil-----
ceill-----
cexpf1 + i 21 + i 21 + i 21 + i 21 + i 2
cexp2 + i 12 + i 12 + i 12 + i 12 + i 1
cexpl--2 + i 21 + i 11 + i 1
cimagf-----
cimag-----
cimagl-----
clogf1 + i 13 + i 13 + i 13 + i 13 + i 1
clog1 + i 03 + i 03 + i 13 + i 03 + i 0
clogl--5 + i 22 + i 22 + i 1
clog10f2 + i 14 + i 24 + i 24 + i 24 + i 2
clog102 + i 13 + i 23 + i 23 + i 23 + i 2
clog10l--3 + i 23 + i 22 + i 2
conjf-----
conj-----
conjl-----
copysignf-----
copysign-----
copysignl-----
cosf11111
cos-----
cosl--441
coshf11111
cosh11111
coshl--331
cpowf4 + i 24 + i 25 + i 24 + i 25 + i 2
cpow2 + i 02 + i 02 + i 02 + i 02 + i 0
cpowl--4 + i 24 + i 14 + i 1
cprojf-----
cproj-----
cprojl-----
crealf-----
creal-----
creall-----
csinf1 + i 01 + i 01 + i 01 + i 01 + i 0
csin1 + i 01 + i 01 + i 01 + i 01 + i 0
csinl--2 + i 12 + i 11 + i 1
csinhf1 + i 11 + i 11 + i 11 + i 11 + i 1
csinh0 + i 10 + i 10 + i 10 + i 10 + i 1
csinhl--1 + i 21 + i 21 + i 1
csqrtf1 + i 12 + i 22 + i 22 + i 22 + i 2
csqrt1 + i 12 + i 22 + i 22 + i 22 + i 2
csqrtl--1 + i 11 + i 12 + i 2
ctanf1 + i 11 + i 11 + i 11 + i 11 + i 1
ctan1 + i 21 + i 21 + i 21 + i 21 + i 2
ctanl--3 + i 23 + i 23 + i 3
ctanhf1 + i 21 + i 22 + i 11 + i 22 + i 1
ctanh2 + i 22 + i 22 + i 22 + i 22 + i 2
ctanhl--3 + i 32 + i 33 + i 3
erff-1111
erf11111
erfl--111
erfcf12222
erfc13232
erfcl--332
expf-1111
exp--1--
expl--111
exp10f-----
exp1012222
exp10l--112
exp2f-1111
exp2-1111
exp2l--211
expm1f11111
expm111111
expm1l--111
fabsf-----
fabs-----
fabsl-----
fdimf-----
fdim-----
fdiml-----
floorf-----
floor-----
floorl-----
fmaf-----
fma-----
fmal--11-
fmaxf-----
fmax-----
fmaxl-----
fmaxmagf-----
fmaxmag-----
fmaxmagl-----
fminf-----
fmin-----
fminl-----
fminmagf-----
fminmag-----
fminmagl-----
fmodf-----
fmod-----
fmodl--11-
frexpf-----
frexp-----
frexpl-----
fromfpf-----
fromfp-----
fromfpl-----
fromfpxf-----
fromfpx-----
fromfpxl-----
gammaf14444
gamma14343
gammal--335
hypotf-----
hypot11111
hypotl--111
ilogbf-----
ilogb-----
ilogbl-----
j0f22222
j022222
j0l--222
j1f22222
j111111
j1l--214
jnf44444
jn44444
jnl--447
lgammaf14444
lgamma14343
lgammal--335
llogbf-----
llogb-----
llogbl-----
lrintf-----
lrint-----
lrintl-----
llrintf-----
llrint-----
llrintl-----
logf11111
log-----
logl--111
log10f22222
log1012222
log10l--111
log1pf11111
log1p-1111
log1pl--222
log2f-1111
log2-2121
log2l--112
logbf-----
logb-----
logbl-----
lroundf-----
lround-----
lroundl-----
llroundf-----
llround-----
llroundl-----
modff-----
modf-----
modfl-----
nearbyintf-----
nearbyint-----
nearbyintl-----
nextafterf-----
nextafter-----
nextafterl-----
nextdownf-----
nextdown-----
nextdownl-----
nexttowardf-----
nexttoward-----
nexttowardl-----
nextupf-----
nextup-----
nextupl-----
powf13111
pow-----
powl--112
remainderf-----
remainder-----
remainderl-----
remquof-----
remquo-----
remquol-----
rintf-----
rint-----
rintl-----
roundf-----
round-----
roundl-----
roundevenf-----
roundeven-----
roundevenl-----
scalbf-----
scalb-----
scalbl-----
scalbnf-----
scalbn-----
scalbnl-----
sinf11111
sin-----
sinl--111
sincosf11111
sincos-----
sincosl--111
sinhf-2222
sinh-2222
sinhl--332
sqrtf-----
sqrt-----
sqrtl--11-
tanf-1111
tan-----
tanl--221
tanhf-2222
tanh-2222
tanhl--112
tgammaf35444
tgamma45555
tgammal--534
truncf-----
trunc-----
truncl-----
ufromfpf-----
ufromfp-----
ufromfpl-----
ufromfpxf-----
ufromfpx-----
ufromfpxl-----
y0f11111
y022222
y0l--113
y1f22222
y133333
y1l--222
ynf22222
yn33333
ynl--225
FunctionSHSparcTilei686ix86
acosf-11--
acos---11
acosl-1-11
acoshf-22--
acosh12211
acoshl-2-22
asinf-11--
asin---11
asinl-1-11
asinhf111--
asinh11111
asinhl-3-33
atanf-11--
atan---11
atanl-1-11
atanhf122--
atanh-2211
atanhl-3-33
atan2f111--
atan2---11
atan2l-1-11
cabsf-----
cabs-1111
cabsl-1-11
cacosf2 + i 22 + i 22 + i 21 + i 11 + i 1
cacos1 + i 11 + i 11 + i 11 + i 11 + i 1
cacosl-2 + i 2-1 + i 21 + i 2
cacoshf2 + i 22 + i 22 + i 21 + i 11 + i 1
cacosh1 + i 11 + i 11 + i 11 + i 11 + i 1
cacoshl-2 + i 2-2 + i 12 + i 1
cargf-11--
carg---11
cargl-2-11
casinf1 + i 21 + i 21 + i 21 + i 11 + i 1
casin1 + i 11 + i 11 + i 11 + i 11 + i 1
casinl-2 + i 2-1 + i 21 + i 2
casinhf2 + i 12 + i 12 + i 11 + i 11 + i 1
casinh1 + i 11 + i 11 + i 11 + i 11 + i 1
casinhl-2 + i 2-2 + i 12 + i 1
catanf1 + i 11 + i 11 + i 10 + i 10 + i 1
catan0 + i 10 + i 10 + i 10 + i 10 + i 1
catanl-1 + i 1-0 + i 10 + i 1
catanhf1 + i 11 + i 11 + i 11 + i 01 + i 0
catanh1 + i 01 + i 01 + i 01 + i 01 + i 0
catanhl-1 + i 1-1 + i 01 + i 0
cbrtf11111
cbrt13311
cbrtl-1-33
ccosf1 + i 11 + i 11 + i 11 + i 11 + i 1
ccos1 + i 11 + i 11 + i 11 + i 11 + i 1
ccosl-1 + i 1-1 + i 11 + i 1
ccoshf1 + i 11 + i 11 + i 11 + i 11 + i 1
ccosh1 + i 11 + i 11 + i 11 + i 11 + i 1
ccoshl-1 + i 1-1 + i 11 + i 1
ceilf-----
ceil-----
ceill-----
cexpf1 + i 21 + i 21 + i 21 + i 21 + i 2
cexp2 + i 12 + i 12 + i 12 + i 12 + i 1
cexpl-1 + i 1-1 + i 11 + i 1
cimagf-----
cimag-----
cimagl-----
clogf1 + i 13 + i 13 + i 11 + i 01 + i 0
clog1 + i 03 + i 03 + i 02 + i 12 + i 1
clogl-4 + i 1-3 + i 13 + i 1
clog10f2 + i 14 + i 24 + i 22 + i 02 + i 0
clog102 + i 13 + i 23 + i 22 + i 12 + i 1
clog10l-4 + i 2-4 + i 24 + i 2
conjf-----
conj-----
conjl-----
copysignf-----
copysign-----
copysignl-----
cosf111-1
cos-----
cosl-1-11
coshf11111
cosh11111
coshl-1-22
cpowf4 + i 24 + i 24 + i 25 + i 25 + i 2
cpow2 + i 02 + i 02 + i 02 + i 12 + i 0
cpowl-4 + i 1-3 + i 43 + i 4
cprojf-----
cproj-----
cprojl-----
crealf-----
creal-----
creall-----
csinf1 + i 01 + i 01 + i 01 + i 11 + i 1
csin1 + i 01 + i 01 + i 01 + i 11 + i 0
csinl-1 + i 1-1 + i 01 + i 0
csinhf1 + i 11 + i 11 + i 11 + i 10 + i 1
csinh0 + i 10 + i 10 + i 11 + i 10 + i 1
csinhl-1 + i 1-1 + i 11 + i 1
csqrtf1 + i 12 + i 22 + i 20 + i 10 + i 1
csqrt1 + i 12 + i 22 + i 21 + i 11 + i 1
csqrtl-2 + i 2-2 + i 22 + i 2
ctanf1 + i 11 + i 11 + i 11 + i 11 + i 1
ctan1 + i 21 + i 21 + i 21 + i 11 + i 1
ctanl-3 + i 3-2 + i 12 + i 1
ctanhf1 + i 21 + i 21 + i 21 + i 11 + i 1
ctanh2 + i 22 + i 22 + i 21 + i 11 + i 1
ctanhl-3 + i 3-1 + i 21 + i 2
erff-1111
erf11111
erfl-1-11
erfcf12211
erfc13311
erfcl-2-33
expf-11--
exp---11
expl-1-11
exp10f-----
exp1012211
exp10l-2-11
exp2f-11--
exp2-1111
exp2l-1-11
expm1f111--
expm111111
expm1l-1-22
fabsf-----
fabs-----
fabsl-----
fdimf-----
fdim-----
fdiml-----
floorf-----
floor-----
floorl-----
fmaf-----
fma-----
fmal-----
fmaxf-----
fmax-----
fmaxl-----
fmaxmagf-----
fmaxmag-----
fmaxmagl-----
fminf-----
fmin-----
fminl-----
fminmagf-----
fminmag-----
fminmagl-----
fmodf-----
fmod-----
fmodl-----
frexpf-----
frexp-----
frexpl-----
fromfpf-----
fromfp-----
fromfpl-----
fromfpxf-----
fromfpx-----
fromfpxl-----
gammaf14432
gamma14433
gammal-5-44
hypotf-----
hypot11111
hypotl-1-11
ilogbf-----
ilogb-----
ilogbl-----
j0f22211
j022211
j0l-2-22
j1f22211
j111122
j1l-4-11
jnf44433
jn44422
jnl-7-44
lgammaf14432
lgamma14433
lgammal-5-44
llogbf-----
llogb-----
llogbl-----
lrintf-----
lrint-----
lrintl-----
llrintf-----
llrint-----
llrintl-----
logf111--
log---11
logl-1-11
log10f222--
log1012211
log10l-1-11
log1pf111--
log1p-1111
log1pl-2-22
log2f-11--
log2-2211
log2l-2-11
logbf-----
logb-----
logbl-----
lroundf-----
lround-----
lroundl-----
llroundf-----
llround-----
llroundl-----
modff-----
modf-----
modfl-----
nearbyintf-----
nearbyint-----
nearbyintl-----
nextafterf-----
nextafter-----
nextafterl-----
nextdownf-----
nextdown-----
nextdownl-----
nexttowardf-----
nexttoward-----
nexttowardl-----
nextupf-----
nextup-----
nextupl-----
powf133--
pow---11
powl-2-11
remainderf-----
remainder-----
remainderl-----
remquof-----
remquo-----
remquol-----
rintf-----
rint-----
rintl-----
roundf-----
round-----
roundl-----
roundevenf-----
roundeven-----
roundevenl-----
scalbf-----
scalb-----
scalbl-----
scalbnf-----
scalbn-----
scalbnl-----
sinf111-1
sin-----
sinl-1-11
sincosf111-1
sincos-----
sincosl-1-11
sinhf-22--
sinh-2211
sinhl-2-22
sqrtf-----
sqrt-----
sqrtl-----
tanf-1111
tan-----
tanl-1-22
tanhf-22--
tanh-2211
tanhl-2-33
tgammaf35533
tgamma45533
tgammal-4-55
truncf-----
trunc-----
truncl-----
ufromfpf-----
ufromfp-----
ufromfpl-----
ufromfpxf-----
ufromfpx-----
ufromfpxl-----
y0f11111
y022211
y0l-3-11
y1f22222
y133322
y1l-2-22
ynf22233
yn33322
ynl-5-44

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