dce5f3abed
Both IEEE-754 2008 and ISO/IEC TS 18661-4 define the half-cycle
trignometric functions cospi, sinpi, and tanpi. The attached
patch implements cospi[fl], sinpi[fl], and tanpi[fl]. Limited
testing on the cospi and sinpi reveal a max ULP less than 0.89;
while tanpi is more problematic with a max ULP less than 2.01
in the interval [0,0.5]. The algorithms used in these functions
are documented in {ks}_cospi.c, {ks}_sinpi.c, and s_tanpi.c.
Note. I no longer have access to a system with ld128 and
adequate support to compile and test the ld128 implementations
of these functions. Given the almost complete lack of input from
others on improvements to libm, I doubt that anyone cares. If
someone does care, the ld128 files contain a number of FIXME comments,
and in particular, while the polynomial coefficients are given
I did not update the polynomial algorithms to properly use the
coefficients.
PR: 218514
MFC after: 2 weeks
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| .. | ||
| acos.3 | ||
| acosh.3 | ||
| asin.3 | ||
| asinh.3 | ||
| atan2.3 | ||
| atan.3 | ||
| atanh.3 | ||
| cacos.3 | ||
| ccos.3 | ||
| ccosh.3 | ||
| ceil.3 | ||
| cexp.3 | ||
| cimag.3 | ||
| clog.3 | ||
| complex.3 | ||
| copysign.3 | ||
| cos.3 | ||
| cosh.3 | ||
| cospi.3 | ||
| cpow.3 | ||
| csqrt.3 | ||
| erf.3 | ||
| exp.3 | ||
| fabs.3 | ||
| fdim.3 | ||
| feclearexcept.3 | ||
| feenableexcept.3 | ||
| fegetenv.3 | ||
| fegetround.3 | ||
| fenv.3 | ||
| floor.3 | ||
| fma.3 | ||
| fmax.3 | ||
| fmod.3 | ||
| hypot.3 | ||
| ieee_test.3 | ||
| ieee.3 | ||
| ilogb.3 | ||
| j0.3 | ||
| lgamma.3 | ||
| log.3 | ||
| lrint.3 | ||
| lround.3 | ||
| math.3 | ||
| nan.3 | ||
| nextafter.3 | ||
| remainder.3 | ||
| rint.3 | ||
| round.3 | ||
| scalbn.3 | ||
| signbit.3 | ||
| sin.3 | ||
| sincos.3 | ||
| sinh.3 | ||
| sinpi.3 | ||
| sqrt.3 | ||
| tan.3 | ||
| tanh.3 | ||
| tanpi.3 | ||
| trunc.3 | ||