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freebsd/lib/msun
Bruce Evans 59aad933ab Use only double precision for "kernel" cosf and sinf (except for
returning float).  The functions are renamed from __kernel_{cos,sin}f()
to __kernel_{cos,sin}df() so that misuses of them will cause link errors
and not crashes.

This version is an almost-routine translation with no special optimizations
for accuracy or efficiency.  The not-quite-routine part is that in
__kernel_cosf(), regenerating the minimax polynomial with double
precision coefficients gives a coefficient for the x**2 term that is
not quite -0.5, so the literal 0.5 in the code and the related `hz'
variable need to be modified; also, the special code for reducing the
error in 1.0-x**2*0.5 is no longer needed, so it is convenient to
adjust all the logic for the x**2 term a little.  Note that without
extra precision, it would be very bad to use a coefficient of other
than -0.5 for the x**2 term -- the old version depends on multiplication
by -0.5 being infinitely precise so as not to need even more special
code for reducing the error in 1-x**2*0.5.

This gives an unimportant increase in accuracy, from ~0.8 to ~0.501
ulps.  Almost all of the error is from the final rounding step, since
the choice of the minimax polynomials so that their contribution to the
error is a bit less than 0.5 ulps just happens to give contributions that
are significantly less (~.001 ulps).

An Athlons, for uniformly distributed args in [-2pi, 2pi], this gives
overall speed increases in the 10-20% range, despite giving a speed
decrease of typically 19% (from 31 cycles up to 37) for sinf() on args
in [-pi/4, pi/4].
2005-11-28 04:58:57 +00:00
..
alpha Replace fegetmask() and fesetmask() with feenableexcept(), 2005-03-16 19:03:46 +00:00
amd64 Add a missing ldexpf() alias for amd64. 2005-09-12 20:54:00 +00:00
arm Replace fegetmask() and fesetmask() with feenableexcept(), 2005-03-16 19:03:46 +00:00
bsdsrc Removed an unused declaration which was so old that it wasn't a prototype 2005-11-18 05:03:12 +00:00
i387 Fixed some comments added in rev.1.5. 2005-10-30 12:21:02 +00:00
ia64 Replace fegetmask() and fesetmask() with feenableexcept(), 2005-03-16 19:03:46 +00:00
man s/5.5/6.0/ in HISTORY section. 2005-11-24 09:25:10 +00:00
powerpc Replace fegetmask() and fesetmask() with feenableexcept(), 2005-03-16 19:03:46 +00:00
sparc64 Replace fegetmask() and fesetmask() with feenableexcept(), 2005-03-16 19:03:46 +00:00
src Use only double precision for "kernel" cosf and sinf (except for 2005-11-28 04:58:57 +00:00
Makefile Detach k_rem_pio2f.c from the build since it is now unused. It is a libm 2005-11-06 17:59:40 +00:00