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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. Using rounding bits this is also possible and normally implemented for the basic operations. To achieve the same for the complex math functions requires a lot more work and this has not yet been done.

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.

Function Alpha ARM Generic ix86 IA64
acosf - - - - -
acos - - - - -
acosl - - - 1150 -
acoshf - - - - -
acosh - - - - -
acoshl - - - 1 -
asinf 2 2 - - -
asin 1 1 - 1 1
asinl - - - 1 -
asinhf - - - - -
asinh - - - - -
asinhl - - - 656 14
atanf - - - - -
atan - - - - -
atanl - - - 549 -
atanhf - - - - -
atanh 1 1 - 1 -
atanhl - - - 1605 -
atan2f 4 - - - -
atan2 - - - - -
atan2l - - - 549 -
cabsf 1 1 - 1 1
cabs 1 1 - 1 1
cabsl - - - 560 1
cacosf 1 + i 1 1 + i 1 - 1 + i 2 1 + i 2
cacos 1 + i 0 1 + i 0 - 1 + i 0 1 + i 0
cacosl - - - 151 + i 329 1 + i 1
cacoshf 7 + i 3 7 + i 3 - 4 + i 4 7 + i 0
cacosh 1 + i 1 1 + i 1 - 1 + i 1 1 + i 1
cacoshl - - - 328 + i 151 7 + i 1
cargf - - - - -
carg - - - - -
cargl - - - - -
casinf 2 + i 1 2 + i 1 - 2 + i 2 2 + i 2
casin 3 + i 0 3 + i 0 - 3 + i 0 3 + i 0
casinl - - - 603 + i 329 0 + i 1
casinhf 1 + i 6 1 + i 6 - 1 + i 6 1 + i 6
casinh 5 + i 3 5 + i 3 - 5 + i 3 5 + i 3
casinhl - - - 892 + i 12 5 + i 5
catanf 4 + i 1 4 + i 1 - 0 + i 1 0 + i 1
catan 0 + i 1 0 + i 1 - 0 + i 1 0 + i 1
catanl - - - 251 + i 474 1 + i 0
catanhf 1 + i 6 1 + i 6 - 1 + i 0 -
catanh 4 + i 1 4 + i 1 - 2 + i 0 4 + i 0
catanhl - - - 66 + i 447 1 + i 0
cbrtf - - - - -
cbrt 1 1 - 1 1
cbrtl - - - 716 -
ccosf 0 + i 1 0 + i 1 - 1 + i 1 1 + i 1
ccos 1 + i 1 1 + i 1 - 1 + i 1 1 + i 1
ccosl - - - 5 + i 1901 0 + i 1
ccoshf 1 + i 1 1 + i 1 - 1 + i 1 1 + i 1
ccosh 1 + i 1 1 + i 1 - 1 + i 1 1 + i 1
ccoshl - - - 1467 + i 1183 1 + i 1
ceilf - - - - -
ceil - - - - -
ceill - - - - -
cexpf 1 + i 1 1 + i 1 - 1 + i 0 1 + i 1
cexp 1 + i 0 1 + i 0 - - 1 + i 0
cexpl - - - 940 + i 1067 2 + i 0
cimagf - - - - -
cimag - - - - -
cimagl - - - - -
clogf 0 + i 3 0 + i 3 - - -
clog 0 + i 1 0 + i 1 - - -
clogl - - - 0 + i 1 -
clog10f 1 + i 5 1 + i 5 - 1 + i 1 1 + i 1
clog10 1 + i 1 1 + i 1 - 2 + i 1 2 + i 1
clog10l - - - 1403 + i 186 1 + i 2
conjf - - - - -
conj - - - - -
conjl - - - - -
copysignf - - - - -
copysign - - - - -
copysignl - - - - -
cosf 1 1 - 1 1
cos 2 2 - 2 2
cosl - - - 529 0.5
coshf - - - - -
cosh - - - - -
coshl - - - 309 2
cpowf 4 + i 2 4 + i 2 - 4 + i 2.5333 5 + i 2.5333
cpow 1 + i 1.1031 1 + i 1.1031 - 1 + i 1.104 1 + i 1.1031
cpowl - - - 2 + i 9 1 + i 4
cprojf - - - - -
cproj - - - - -
cprojl - - - - -
crealf - - - - -
creal - - - - -
creall - - - - -
csinf 0 + i 1 0 + i 1 - - -
csin - - - - -
csinl - - - 966 + i 168 0 + i 1
csinhf 1 + i 1 1 + i 1 - 1 + i 1 1 + i 1
csinh 0 + i 1 0 + i 1 - 1 + i 1 1 + i 1
csinhl - - - 413 + i 477 2 + i 2
csqrtf 1 + i 1 1 + i 1 - - 1 + i 1
csqrt 1 + i 0 1 + i 0 - 1 + i 0 1 + i 0
csqrtl - - - 237 + i 128 -
ctanf 1 + i 1 1 + i 1 - 1 + i 1 1 + i 1
ctan 1 + i 1 1 + i 1 - 1 + i 1 1 + i 1
ctanl - - - 690 + i 367 436 + i 1
ctanhf 2 + i 1 2 + i 1 - 1 + i 1 1 + i 1
ctanh 2 + i 2 2 + i 2 - 0 + i 1 0 + i 1
ctanhl - - - 286 + i 3074 1 + i 24
erff - - - - -
erf - - - - -
erfl - - - - -
erfcf 12 12 - 12 12
erfc 24 24 - 24 24
erfcl - - - 36 12
expf - - - - -
exp - - - - -
expl - - - 754 -
exp10f 2 2 - - 2
exp10 6 6 - 1 6
exp10l - - - 1182 3
exp2f - - - - -
exp2 - - - - -
exp2l - - - 462 -
expm1f 1 1 - - -
expm1 - - - - -
expm1l - - - 825 1
fabsf - - - - -
fabs - - - - -
fabsl - - - - -
fdimf - - - - -
fdim - - - - -
fdiml - - - - -
floorf - - - - -
floor - - - - -
floorl - - - - -
fmaf - - - - -
fma - - - - -
fmal - - - - -
fmaxf - - - - -
fmax - - - - -
fmaxl - - - - -
fminf - - - - -
fmin - - - - -
fminl - - - - -
fmodf 1 1 - 1 1
fmod 2 2 - 2 2
fmodl - - - 4096 1
frexpf - - - - -
frexp - - - - -
frexpl - - - - -
gammaf - - - - -
gamma - - - 1 -
gammal - - - 1 1
hypotf 1 1 - 1 1
hypot 1 1 - 1 1
hypotl - - - 560 1
ilogbf - - - - -
ilogb - - - - -
ilogbl - - - - -
j0f 2 2 - 1 1
j0 2 2 - 2 2
j0l - - - 1 2
j1f 2 2 - 1 2
j1 1 1 - 2 1
j1l - - - 2 -
jnf 4 4 - 2 4
jn 6 6 - 5 6
jnl - - - 2 2
lgammaf 2 2 - 2 2
lgamma 1 1 - 1 1
lgammal - - - 1 1
lrintf - - - - -
lrint - - - - -
lrintl - - - - -
llrintf - - - - -
llrint - - - - -
llrintl - - - - -
logf 1 1 - 1 1
log 1 1 - 1 1
logl - - - 2341 1
log10f 1 1 - 1 1
log10 1 1 - 1 1
log10l - - - 2033 1
log1pf 1 1 - 1 1
log1p 1 1 - 1 1
log1pl - - - 585 1
log2f 1 1 - 1 1
log2 1 1 - 1 1
log2l - - - 1688 -
logbf - - - - -
logb - - - - -
logbl - - - - -
lroundf - - - - -
lround - - - - -
lroundl - - - - -
llroundf - - - - -
llround - - - - -
llroundl - - - - -
modff - - - - -
modf - - - - -
modfl - - - - -
nearbyintf - - - - -
nearbyint - - - - -
nearbyintl - - - - -
nextafterf - - - - -
nextafter - - - - -
nextafterl - - - - -
nexttowardf - - - - -
nexttoward - - - - -
nexttowardl - - - - -
powf - - - - -
pow - - - - -
powl - - - 725 1
remainderf - - - - -
remainder - - - - -
remainderl - - - - -
remquof - - - - -
remquo - - - - -
remquol - - - - -
rintf - - - - -
rint - - - - -
rintl - - - - -
roundf - - - - -
round - - - - -
roundl - - - - -
scalbf - - - - -
scalb - - - - -
scalbl - - - - -
scalbnf - - - - -
scalbn - - - - -
scalbnl - - - - -
scalblnf - - - - -
scalbln - - - - -
scalblnl - - - - -
sinf - - - - -
sin - - - - -
sinl - - - 627 1
sincosf 1 1 - 1 1
sincos 1 1 - 1 1
sincosl - - - 627 1
sinhf 1 1 - 1 1
sinh 1 1 - - -
sinhl - - - 1029 1
sqrtf - - - - -
sqrt - - - - -
sqrtl - - - 489 -
tanf - - - - -
tan 0.5 0.5 - 0.5 0.5
tanl - - - 1401 1
tanhf 1 1 - - 1
tanh 1 1 - - 1
tanhl - - - 521 1
tgammaf 1 1 - 1 1
tgamma 1 1 - 2 1
tgammal - - - 2 1
truncf - - - - -
trunc - - - - -
truncl - - - - -
y0f 1 1 - 1 1
y0 2 2 - 3 2
y0l - - - 2 2
y1f 2 2 - 2 2
y1 3 3 - 3 3
y1l - - - 2 1
ynf 2 2 - 3 2
yn 3 3 - 6 3
ynl - - - 7 7

Function M68k MIPS PowerPC S/390 SH4
acosf - - - - -
acos - - - - -
acosl 1 - - - -
acoshf - - - - -
acosh - - - - -
acoshl 1 - - - -
asinf - 2 2 2 2
asin 1 1 1 1 1
asinl 1 - - - -
asinhf - - - - -
asinh - - - - -
asinhl 14 - - - -
atanf - - - - -
atan - - - - -
atanl - - - - -
atanhf - - - - -
atanh 1 1 1 1 1
atanhl - - - - -
atan2f - 4 4 4 4
atan2 - - - - -
atan2l - - - - -
cabsf 1 1 1 1 1
cabs - 1 1 1 1
cabsl 1 - - - -
cacosf 1 + i 2 1 + i 1 1 + i 1 1 + i 1 1 + i 1
cacos 1 + i 0 1 + i 0 1 + i 0 1 + i 0 1 + i 0
cacosl 1 + i 1 - - - -
cacoshf 7 + i 0 7 + i 3 7 + i 3 7 + i 3 7 + i 3
cacosh 1 + i 1 1 + i 1 1 + i 1 1 + i 1 1 + i 1
cacoshl 6 + i 2 - - - -
cargf - - - - -
carg - - - - -
cargl - - - - -
casinf 2 + i 2 2 + i 1 2 + i 1 2 + i 1 2 + i 1
casin 3 + i 0 3 + i 0 3 + i 0 3 + i 0 3 + i 0
casinl 0 + i 1 - - - -
casinhf 19 + i 2 1 + i 6 1 + i 6 1 + i 6 1 + i 6
casinh 6 + i 13 5 + i 3 5 + i 3 5 + i 3 5 + i 3
casinhl 5 + i 6 - - - -
catanf 0 + i 1 4 + i 1 4 + i 1 4 + i 1 4 + i 1
catan 0 + i 1 0 + i 1 0 + i 1 0 + i 1 0 + i 1
catanl 1 + i 0 - - - -
catanhf - 1 + i 6 0 + i 6 1 + i 6 1 + i 6
catanh - 4 + i 1 4 + i 1 4 + i 1 4 + i 1
catanhl 1 + i 0 - - - -
cbrtf - - - - -
cbrt 1 1 1 1 1
cbrtl 1 - - - -
ccosf 1 + i 1 0 + i 1 0 + i 1 0 + i 1 0 + i 1
ccos 0 + i 1 1 + i 1 1 + i 1 1 + i 1 1 + i 1
ccosl 0 + i 1 - - - -
ccoshf 3 + i 1 1 + i 1 1 + i 1 1 + i 1 1 + i 1
ccosh 1 + i 0 1 + i 1 1 + i 1 1 + i 1 1 + i 1
ccoshl 1 + i 2 - - - -
ceilf - - - - -
ceil - - - - -
ceill - - - - -
cexpf 3 + i 2 1 + i 1 1 + i 1 1 + i 1 1 + i 1
cexp - 1 + i 0 1 + i 0 1 + i 0 1 + i 0
cexpl 2 + i 0 - - - -
cimagf - - - - -
cimag - - - - -
cimagl - - - - -
clogf - 0 + i 3 0 + i 3 0 + i 3 0 + i 3
clog - 0 + i 1 0 + i 1 0 + i 1 0 + i 1
clogl - - - - -
clog10f 1 + i 1 1 + i 5 1 + i 5 1 + i 5 1 + i 5
clog10 1 + i 1 1 + i 1 1 + i 1 1 + i 1 1 + i 1
clog10l 1 + i 3 - - - -
conjf - - - - -
conj - - - - -
conjl - - - - -
copysignf - - - - -
copysign - - - - -
copysignl - - - - -
cosf 1 1 1 1 1
cos 2 2 2 2 2
cosl 1 - - - -
coshf - - - - -
cosh - - - - -
coshl 2 - - - -
cpowf 1 + i 6 4 + i 2 4 + i 2 4 + i 2 4 + i 2
cpow 1 + i 2 1 + i 1.1031 1 + i 2 1 + i 1.1031 1 + i 1.1031
cpowl 5 + i 2 - - - -
cprojf - - - - -
cproj - - - - -
cprojl - - - - -
crealf - - - - -
creal - - - - -
creall - - - - -
csinf 1 + i 1 0 + i 1 0 + i 1 0 + i 1 0 + i 1
csin - - - - -
csinl - - - - -
csinhf 1 + i 1 1 + i 1 1 + i 1 1 + i 1 1 + i 1
csinh - 0 + i 1 0 + i 1 0 + i 1 0 + i 1
csinhl 1 + i 2 - - - -
csqrtf 1 + i 0 1 + i 1 1 + i 1 1 + i 1 1 + i 1
csqrt - 1 + i 0 1 + i 0 1 + i 0 1 + i 0
csqrtl - - - - -
ctanf 1 + i 0 1 + i 1 1 + i 1 1 + i 1 1 + i 1
ctan 1 + i 0 1 + i 1 1 + i 1 1 + i 1 1 + i 1
ctanl 439 + i 2 - - - -
ctanhf 1 + i 0 2 + i 1 2 + i 1 2 + i 1 2 + i 1
ctanh 0 + i 1 2 + i 2 2 + i 2 2 + i 2 2 + i 2
ctanhl 2 + i 25 - - - -
erff - - - - -
erf - - - - -
erfl - - - - -
erfcf 11 12 12 12 12
erfc 24 24 24 24 24
erfcl 12 - - - -
expf - - - - -
exp - - - - -
expl - - - - -
exp10f - 2 2 2 2
exp10 1 6 6 6 6
exp10l 1 - - - -
exp2f - - - - -
exp2 - - - - -
exp2l - - - - -
expm1f - 1 1 1 1
expm1 - - - - -
expm1l 1 - - - -
fabsf - - - - -
fabs - - - - -
fabsl - - - - -
fdimf - - - - -
fdim - - - - -
fdiml - - - - -
floorf - - - - -
floor - - - - -
floorl - - - - -
fmaf - - - - -
fma - - - - -
fmal - - - - -
fmaxf - - - - -
fmax - - - - -
fmaxl - - - - -
fminf - - - - -
fmin - - - - -
fminl - - - - -
fmodf 1 1 1 1 1
fmod 2 2 2 2 2
fmodl 1 - - - -
frexpf - - - - -
frexp - - - - -
frexpl - - - - -
gammaf - - - - -
gamma - - - - -
gammal 1 - - - -
hypotf 1 1 1 1 1
hypot - 1 1 1 1
hypotl 1 - - - -
ilogbf - - - - -
ilogb - - - - -
ilogbl - - - - -
j0f 1 2 1 2 2
j0 1 2 2 2 2
j0l 1 - - - -
j1f 2 2 2 2 2
j1 - 1 1 1 1
j1l 2 - - - -
jnf 11 4 4 4 4
jn 4 6 6 6 6
jnl 2 - - - -
lgammaf 2 2 2 2 2
lgamma 1 1 1 1 1
lgammal 1 - - - -
lrintf - - - - -
lrint - - - - -
lrintl - - - - -
llrintf - - - - -
llrint - - - - -
llrintl - - - - -
logf 1 1 1 1 1
log 1 1 1 1 1
logl 2 - - - -
log10f 1 1 1 1 1
log10 1 1 1 1 1
log10l 1 - - - -
log1pf 1 1 1 1 1
log1p 1 1 1 1 1
log1pl 2 - - - -
log2f 1 1 1 1 1
log2 1 1 1 1 1
log2l 1 - - - -
logbf - - - - -
logb - - - - -
logbl - - - - -
lroundf - - - - -
lround - - - - -
lroundl - - - - -
llroundf - - - - -
llround - - - - -
llroundl - - - - -
modff - - - - -
modf - - - - -
modfl - - - - -
nearbyintf - - - - -
nearbyint - - - - -
nearbyintl - - - - -
nextafterf - - - - -
nextafter - - - - -
nextafterl - - - - -
nexttowardf - - - - -
nexttoward - - - - -
nexttowardl - - - - -
powf - - - - -
pow - - - - -
powl 1 - - - -
remainderf - - - - -
remainder - - - - -
remainderl - - - - -
remquof - - - - -
remquo - - - - -
remquol - - - - -
rintf - - - - -
rint - - - - -
rintl - - - - -
roundf - - - - -
round - - - - -
roundl - - - - -
scalbf - - - - -
scalb - - - - -
scalbl - - - - -
scalbnf - - - - -
scalbn - - - - -
scalbnl - - - - -
scalblnf - - - - -
scalbln - - - - -
scalblnl - - - - -
sinf - - - - -
sin - - - - -
sinl 1 - - - -
sincosf 1 1 1 1 1
sincos 1 1 1 1 1
sincosl 1 - - - -
sinhf 1 1 1 1 1
sinh - 1 1 1 1
sinhl - - - - -
sqrtf - - - - -
sqrt - - - - -
sqrtl - - - - -
tanf - - - - -
tan 1 0.5 1 0.5 0.5
tanl 1 - - - -
tanhf - 1 1 1 1
tanh - 1 1 1 1
tanhl - - - - -
tgammaf 1 1 1 1 1
tgamma 1 1 1 1 1
tgammal 1 - - - -
truncf - - - - -
trunc - - - - -
truncl - - - - -
y0f 2 1 1 1 1
y0 2 2 2 2 2
y0l 2 - - - -
y1f 2 2 2 2 2
y1 1 3 3 3 3
y1l 2 - - - -
ynf 2 2 2 2 2
yn 6 3 3 3 3
ynl 7 - - - -

Function Sparc 32-bit Sparc 64-bit x86_64/fpu
acosf - - -
acos - - -
acosl - 1 -
acoshf - - -
acosh - - -
acoshl - - -
asinf 2 2 -
asin 1 1 1
asinl - - 1
asinhf - - -
asinh - - -
asinhl - - 15
atanf - - -
atan - - -
atanl - 1 -
atanhf - - -
atanh 1 1 1
atanhl - - 1
atan2f 4.0000 4 4
atan2 - - -
atan2l - 1 -
cabsf 1 1 1
cabs 1 1 1
cabsl - - 1
cacosf 1 + i 1 1 + i 1 1 + i 1
cacos 1 + i 0 1 + i 0 1 + i 0
cacosl - 0 + i 3 1 + i 1
cacoshf 7 + i 3 7 + i 3 7 + i 3
cacosh 1 + i 1 1 + i 1 1 + i 1
cacoshl - 5 + i 1 6 + i 1
cargf - - -
carg - - -
cargl - - -
casinf 2 + i 1 2 + i 1 2 + i 1
casin 3 + i 0 3 + i 0 3 + i 0
casinl - 1 + i 3 0 + i 1
casinhf 1 + i 6 1 + i 6 1 + i 6
casinh 5 + i 3 5 + i 3 5 + i 3
casinhl - 4 + i 2 5 + i 5
catanf 4 + i 1 4 + i 1 4 + i 1
catan 0 + i 1 0 + i 1 0 + i 1
catanl - 0 + i 1 1 + i 0
catanhf 1 + i 6 1 + i 6 1 + i 6
catanh 4 + i 1 4 + i 1 4 + i 0
catanhl - - 1 + i 0
cbrtf - - -
cbrt 1 1 1
cbrtl - - 948
ccosf 0 + i 1 0 + i 1 0 + i 1
ccos 1 + i 1 1 + i 1 1 + i 1
ccosl - - 0 + i 1
ccoshf 1 + i 1 1 + i 1 1 + i 1
ccosh 1 + i 1 1 + i 1 1 + i 1
ccoshl - - 1 + i 1
ceilf - - -
ceil - - -
ceill - - -
cexpf 1 + i 1 1 + i 1 1 + i 1
cexp 1 + i 0 1 + i 0 1 + i 0
cexpl - 1 + i 1 2 + i 1
cimagf - - -
cimag - - -
cimagl - - -
clogf 0 + i 3 0 + i 3 0 + i 3
clog 0 + i 1 0 + i 1 -
clogl - - -
clog10f 1 + i 5 1 + i 5 1 + i 5
clog10 1 + i 1 1 + i 1 1 + i 1
clog10l - - 1 + i 3
conjf - - -
conj - - -
conjl - - -
copysignf - - -
copysign - - -
copysignl - - -
cosf 1 1 1
cos 2 2 2
cosl - 1 0.5
coshf - - -
cosh - - -
coshl - - 2
cpowf 4 + i 2 4 + i 2 4 + i 2
cpow 1 + i 1.1031 1 + i 1.1031 1 + i 1.1031
cpowl - 3 + i 0.9006 1 + i 2
cprojf - - -
cproj - - -
cprojl - - -
crealf - - -
creal - - -
creall - - -
csinf 0 + i 1 0 + i 1 0 + i 1
csin - - -
csinl - - 0 + i 2
csinhf 1 + i 1 1 + i 1 1 + i 1
csinh 0 + i 1 0 + i 1 0 + i 1
csinhl - - 2 + i 2
csqrtf 1 + i 1 1 + i 1 1 + i 1
csqrt 1 + i 0 1 + i 0 1 + i 0
csqrtl - 1 + i 1 -
ctanf 1 + i 1 1 + i 1 1 + i 1
ctan 1 + i 1 1 + i 1 1 + i 1
ctanl - - 439 + i 2
ctanhf 2 + i 1 2 + i 1 2 + i 1
ctanh 2 + i 2 2 + i 2 2 + i 2
ctanhl - - 5 + i 25
erff - - -
erf - - -
erfl - - -
erfcf 12 12 12
erfc 24 24 24
erfcl - - 36
expf - - -
exp - - -
expl - - -
exp10f 2 2 2
exp10 6 6 6
exp10l - 1 3
exp2f - - -
exp2 - - -
exp2l - - -
expm1f 1 1 1
expm1 - 1 1
expm1l - - 1
fabsf - - -
fabs - - -
fabsl - - -
fdimf - - -
fdim - - -
fdiml - - -
floorf - - -
floor - - -
floorl - - -
fmaf - - -
fma - - -
fmal - - -
fmaxf - - -
fmax - - -
fmaxl - - -
fminf - - -
fmin - - -
fminl - - -
fmodf 1 1 1
fmod 2 2 2
fmodl - 2 1
frexpf - - -
frexp - - -
frexpl - - -
gammaf - - -
gamma - - -
gammal - - 1
hypotf 1 1 1
hypot 1 1 1
hypotl - - 1
ilogbf - - -
ilogb - - -
ilogbl - - -
j0f 2 2 2
j0 2 2 2
j0l - - -
j1f 2 2 2
j1 1 1 1
j1l - - 2
jnf 4 4 4
jn 6 6 6
jnl - - 2
lgammaf 2 2 2
lgamma 1 1 1
lgammal - - 1
lrintf - - -
lrint - - -
lrintl - - -
llrintf - - -
llrint - - -
llrintl - - -
logf 1 1 1
log 1 1 1
logl - 1 1
log10f 1 1 1
log10 1 1 1
log10l - - 1
log1pf 1 1 1
log1p 1 1 1
log1pl - 1 1
log2f 1 1 1
log2 1 1 1
log2l - - -
logbf - - -
logb - - -
logbl - - -
lroundf - - -
lround - - -
lroundl - - -
llroundf - - -
llround - - -
llroundl - - -
modff - - -
modf - - -
modfl - - -
nearbyintf - - -
nearbyint - - -
nearbyintl - - -
nextafterf - - -
nextafter - - -
nextafterl - - -
nexttowardf - - -
nexttoward - - -
nexttowardl - - -
powf - - -
pow - - -
powl - - -
remainderf - - -
remainder - - -
remainderl - - -
remquof - - -
remquo - - -
remquol - - -
rintf - - -
rint - - -
rintl - - -
roundf - - -
round - - -
roundl - - -
scalbf - - -
scalb - - -
scalbl - - -
scalbnf - - -
scalbn - - -
scalbnl - - -
scalblnf - - -
scalbln - - -
scalblnl - - -
sinf - - -
sin - - -
sinl - - 1
sincosf 1 1 1
sincos 1 1 1
sincosl - 1 1
sinhf 1 1 1
sinh 1 1 1
sinhl - - 1
sqrtf - - -
sqrt - - -
sqrtl - 1 -
tanf - - -
tan 0.5 0.5 0.5
tanl - 1 1
tanhf 1 1 1
tanh 1 1 1
tanhl - - 1
tgammaf 1 1 1
tgamma 1 1 1
tgammal - - 2
truncf - - -
trunc - - -
truncl - - -
y0f 1 1 1
y0 2 2 2
y0l - - 2
y1f 2 2 2
y1 3 3 3
y1l - - 2
ynf 2 2 2
yn 3 3 3
ynl - - 7