Errors in Math Functions
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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 |