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freebsd-skq/lib/msun/src
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Bruce Evans f4b01a9edf Rearranged the polynomial evaluation to reduce dependencies, as in 
k_tanf.c but with different details.

The polynomial is odd with degree 13 for tanf() and odd with degree
9 for sinf(), so the details are not very different for sinf() -- the
term with the x**11 and x**13 coefficients goes awaym and (mysteriously)
it helps to do the evaluation of w = z*z early although moving it later
was a key optimization for tanf().  The details are different but simpler
for cosf() because the polynomial is even and of lower degree.

On Athlons, for uniformly distributed args in [-2pi, 2pi], this gives
an optimization of about 4 cycles (10%) in most cases (13% for sinf()
on AXP, but 0% for cosf() with gcc-3.3 -O1 on AXP).  The best case
(sinf() with gcc-3.4 -O1 -fcaller-saves on A64) now takes 33-39 cycles
(was 37-45 cycles).  Hardware sinf takes 74-129 cycles.  Despite
being fine tuned for Athlons, the optimization is even larger on
some other arches (about 15% on ia64 (pluto2) and 20% on alpha (beast)
with gcc -O2 -fomit-frame-pointer).
2005-11-30 11:51:17 +00:00
..
e_acos.c
Reduce diffs against vendor source (Sun fdlibm 5.3).
2005-02-04 18:26:06 +00:00
e_acosf.c
…
e_acosh.c
Reduce diffs against vendor source (Sun fdlibm 5.3).
2005-02-04 18:26:06 +00:00
e_acoshf.c
…
e_asin.c
Reduce diffs against vendor source (Sun fdlibm 5.3).
2005-02-04 18:26:06 +00:00
e_asinf.c
…
e_atan2.c
Reduce diffs against vendor source (Sun fdlibm 5.3).
2005-02-04 18:26:06 +00:00
e_atan2f.c
Fixed lots of 1 ULP errors caused by a broken approximation for pi/2.
2004-06-02 17:09:05 +00:00
e_atanh.c
Reduce diffs against vendor source (Sun fdlibm 5.3).
2005-02-04 18:26:06 +00:00
e_atanhf.c
…
e_cosh.c
Reduce diffs against vendor source (Sun fdlibm 5.3).
2005-02-04 18:26:06 +00:00
e_coshf.c
Fixed some magic numbers.
2005-11-13 00:08:23 +00:00
e_exp.c
Reduce diffs against vendor source (Sun fdlibm 5.3).
2005-02-04 18:26:06 +00:00
e_expf.c
Fixed the hi+lo approximation to log(2). The normal 17+24 bit decomposition
2005-11-30 04:56:49 +00:00
e_fmod.c
Reduce diffs against vendor source (Sun fdlibm 5.3).
2005-02-04 18:26:06 +00:00
e_fmodf.c
…
e_gamma_r.c
Reduce diffs against vendor source (Sun fdlibm 5.3).
2005-02-04 18:26:06 +00:00
e_gamma.c
Reduce diffs against vendor source (Sun fdlibm 5.3).
2005-02-04 18:26:06 +00:00
e_gammaf_r.c
…
e_gammaf.c
…
e_hypot.c
Reduce diffs against vendor source (Sun fdlibm 5.3).
2005-02-04 18:26:06 +00:00
e_hypotf.c
…
e_j0.c
Reduce diffs against vendor source (Sun fdlibm 5.3).
2005-02-04 18:26:06 +00:00
e_j0f.c
…
e_j1.c
Reduce diffs against vendor source (Sun fdlibm 5.3).
2005-02-04 18:26:06 +00:00
e_j1f.c
…
e_jn.c
Reduce diffs against vendor source (Sun fdlibm 5.3).
2005-02-04 18:26:06 +00:00
e_jnf.c
…
e_lgamma_r.c
Reduce diffs against vendor source (Sun fdlibm 5.3).
2005-02-04 18:26:06 +00:00
e_lgamma.c
Reduce diffs against vendor source (Sun fdlibm 5.3).
2005-02-04 18:26:06 +00:00
e_lgammaf_r.c
Fixed about 50 million errors of infinity ulps and about 3 million errors
2005-11-28 08:32:15 +00:00
e_lgammaf.c
…
e_log10.c
Reduce diffs against vendor source (Sun fdlibm 5.3).
2005-02-04 18:26:06 +00:00
e_log10f.c
…
e_log.c
Reduce diffs against vendor source (Sun fdlibm 5.3).
2005-02-04 18:26:06 +00:00
e_logf.c
As for the float trig functions, use a minimax polynomial that is
2005-11-12 18:20:09 +00:00
e_pow.c
Reduce diffs against vendor source (Sun fdlibm 5.3).
2005-02-04 18:26:06 +00:00
e_powf.c
Merged from double precision case (e_pow.c 1.10: sign fixes).
2004-06-01 19:33:30 +00:00
e_rem_pio2.c
Reduce diffs against vendor source (Sun fdlibm 5.3).
2005-02-04 18:26:06 +00:00
e_rem_pio2f.c
Simplified setiing up args for __kernel_rem_pio2(). We already have x
2005-11-23 03:03:09 +00:00
e_remainder.c
Reduce diffs against vendor source (Sun fdlibm 5.3).
2005-02-04 18:26:06 +00:00
e_remainderf.c
…
e_scalb.c
Reduce diffs against vendor source (Sun fdlibm 5.3).
2005-02-04 18:26:06 +00:00
e_scalbf.c
Remove the declaration of isnan() from this file. It is no longer
2004-07-09 10:01:10 +00:00
e_sinh.c
Reduce diffs against vendor source (Sun fdlibm 5.3).
2005-02-04 18:26:06 +00:00
e_sinhf.c
Fixed some magic numbers.
2005-11-13 00:41:46 +00:00
e_sqrt.c
Reduce diffs against vendor source (Sun fdlibm 5.3).
2005-02-04 18:26:06 +00:00
e_sqrtf.c
…
k_cos.c
Use a better algorithm for reducing the error in __kernel_cos[f]().
2005-10-26 12:36:18 +00:00
k_cosf.c
Rearranged the polynomial evaluation to reduce dependencies, as in
2005-11-30 11:51:17 +00:00
k_rem_pio2.c
Reduce diffs against vendor source (Sun fdlibm 5.3).
2005-02-04 18:26:06 +00:00
k_rem_pio2f.c
Fixed range reduction for large multiples of pi/2 on systems with
2005-10-11 07:56:05 +00:00
k_sin.c
Updated the comment about the optimization for tiny x (the previous
2005-11-02 13:06:49 +00:00
k_sinf.c
Rearranged the polynomial evaluation to reduce dependencies, as in
2005-11-30 11:51:17 +00:00
k_tan.c
Moved the optimization for tiny x from __kernel_tan[f](x) to tan[f](x)
2005-11-02 14:01:45 +00:00
k_tanf.c
Rearranged the polynomial evaluation some more to reduce dependencies.
2005-11-28 11:46:20 +00:00
math_private.h
Use only double precision for "kernel" cosf and sinf (except for
2005-11-28 04:58:57 +00:00
math.h
Implement truncl() based on floorl().
2005-04-16 21:12:47 +00:00
s_asinh.c
…
s_asinhf.c
…
s_atan.c
Only provide one copy of the math functions. If we provide a MD function,
2003-07-23 04:53:47 +00:00
s_atanf.c
…
s_cbrt.c
…
s_cbrtf.c
…
s_ceil.c
Only provide one copy of the math functions. If we provide a MD function,
2003-07-23 04:53:47 +00:00
s_ceilf.c
…
s_ceill.c
Revert the last change, the conversion from long double to double can raise
2005-04-28 19:45:55 +00:00
s_cimag.c
Add implementations for cimag{,f,l}, creal{,f,l} and conj{,f,l}. They are
2004-05-30 09:21:56 +00:00
s_cimagf.c
Add implementations for cimag{,f,l}, creal{,f,l} and conj{,f,l}. They are
2004-05-30 09:21:56 +00:00
s_cimagl.c
Add implementations for cimag{,f,l}, creal{,f,l} and conj{,f,l}. They are
2004-05-30 09:21:56 +00:00
s_conj.c
Add implementations for cimag{,f,l}, creal{,f,l} and conj{,f,l}. They are
2004-05-30 09:21:56 +00:00
s_conjf.c
Add implementations for cimag{,f,l}, creal{,f,l} and conj{,f,l}. They are
2004-05-30 09:21:56 +00:00
s_conjl.c
Add implementations for cimag{,f,l}, creal{,f,l} and conj{,f,l}. They are
2004-05-30 09:21:56 +00:00
s_copysign.c
Only provide one copy of the math functions. If we provide a MD function,
2003-07-23 04:53:47 +00:00
s_copysignf.c
Only provide one copy of the math functions. If we provide a MD function,
2003-07-23 04:53:47 +00:00
s_copysignl.c
Add an implementation of copysignl(), a long double version of copysign().
2004-05-07 18:56:31 +00:00
s_cos.c
Moved the optimization for tiny x from __kernel_{cos,sin}[f](x) to
2005-10-24 14:08:36 +00:00
s_cosf.c
Fixed cosf(x) when x is a "negative" NaNs. I broke this in rev.1.10.
2005-11-30 06:47:18 +00:00
s_creal.c
Add implementations for cimag{,f,l}, creal{,f,l} and conj{,f,l}. They are
2004-05-30 09:21:56 +00:00
s_crealf.c
Add implementations for cimag{,f,l}, creal{,f,l} and conj{,f,l}. They are
2004-05-30 09:21:56 +00:00
s_creall.c
Add implementations for cimag{,f,l}, creal{,f,l} and conj{,f,l}. They are
2004-05-30 09:21:56 +00:00
s_erf.c
…
s_erff.c
…
s_exp2.c
Implement exp2() and exp2f().
2005-04-05 02:57:15 +00:00
s_exp2f.c
Implement exp2() and exp2f().
2005-04-05 02:57:15 +00:00
s_expm1.c
…
s_expm1f.c
…
s_fabs.c
…
s_fabsf.c
…
s_fabsl.c
Better safe than clever.
2003-10-25 19:53:28 +00:00
s_fdim.c
Implement and document fdim{,f,l}, fmax{,f,l}, and fmin{,f,l}.
2004-06-30 07:04:01 +00:00
s_finite.c
Only provide one copy of the math functions. If we provide a MD function,
2003-07-23 04:53:47 +00:00
s_finitef.c
…
s_floor.c
Only provide one copy of the math functions. If we provide a MD function,
2003-07-23 04:53:47 +00:00
s_floorf.c
…
s_floorl.c
Revert the last change, the conversion from long double to double can raise
2005-04-28 19:45:55 +00:00
s_fma.c
Fix the double rounding problem with subnormals, and
2005-03-18 02:27:59 +00:00
s_fmaf.c
Add fma() and fmaf(), which implement a fused multiply-add operation.
2005-01-22 09:53:18 +00:00
s_fmal.c
Fix the double rounding problem with subnormals, and
2005-03-18 02:27:59 +00:00
s_fmax.c
Implement and document fdim{,f,l}, fmax{,f,l}, and fmin{,f,l}.
2004-06-30 07:04:01 +00:00
s_fmaxf.c
Implement and document fdim{,f,l}, fmax{,f,l}, and fmin{,f,l}.
2004-06-30 07:04:01 +00:00
s_fmaxl.c
Implement and document fdim{,f,l}, fmax{,f,l}, and fmin{,f,l}.
2004-06-30 07:04:01 +00:00
s_fmin.c
Implement and document fdim{,f,l}, fmax{,f,l}, and fmin{,f,l}.
2004-06-30 07:04:01 +00:00
s_fminf.c
Implement and document fdim{,f,l}, fmax{,f,l}, and fmin{,f,l}.
2004-06-30 07:04:01 +00:00
s_fminl.c
Implement and document fdim{,f,l}, fmax{,f,l}, and fmin{,f,l}.
2004-06-30 07:04:01 +00:00
s_frexp.c
Replace strong references with weak references. There's no
2005-03-07 21:27:37 +00:00
s_frexpf.c
…
s_frexpl.c
Implement frexpl.
2005-03-07 04:54:51 +00:00
s_ilogb.c
Use the FP_ILOG macros from <math.h> rather than hardcoded return values.
2004-10-09 17:14:28 +00:00
s_ilogbf.c
Use the FP_ILOG macros from <math.h> rather than hardcoded return values.
2004-10-09 17:14:28 +00:00
s_ilogbl.c
Add and document ilogbl(), a long double version of ilogb().
2004-10-11 18:13:52 +00:00
s_isfinite.c
Implement the classification macros isfinite(), isinf(), isnan(), and
2004-07-09 03:32:40 +00:00
s_isnan.c
Replace s_isnan.c and s_isnanf.c with the more compact s_isnan.c from
2004-08-05 01:46:11 +00:00
s_isnormal.c
Implement the classification macros isfinite(), isinf(), isnan(), and
2004-07-09 03:32:40 +00:00
s_llrint.c
Add MI implementations of [l]lrint[f]() and [l]lround[f]().
2005-01-11 23:12:55 +00:00
s_llrintf.c
Add MI implementations of [l]lrint[f]() and [l]lround[f]().
2005-01-11 23:12:55 +00:00
s_llround.c
These files should include s_lround.c instead of s_lrint.c.
2005-04-08 00:52:27 +00:00
s_llroundf.c
These files should include s_lround.c instead of s_lrint.c.
2005-04-08 00:52:27 +00:00
s_llroundl.c
Add roundl(), lroundl(), and llroundl().
2005-04-08 01:24:08 +00:00
s_log1p.c
…
s_log1pf.c
…
s_logb.c
Only provide one copy of the math functions. If we provide a MD function,
2003-07-23 04:53:47 +00:00
s_logbf.c
…
s_lrint.c
Add MI implementations of [l]lrint[f]() and [l]lround[f]().
2005-01-11 23:12:55 +00:00
s_lrintf.c
Add MI implementations of [l]lrint[f]() and [l]lround[f]().
2005-01-11 23:12:55 +00:00
s_lround.c
Fix a (coincidentally harmless) bug.
2005-04-08 00:52:16 +00:00
s_lroundf.c
These files should include s_lround.c instead of s_lrint.c.
2005-04-08 00:52:27 +00:00
s_lroundl.c
Add roundl(), lroundl(), and llroundl().
2005-04-08 01:24:08 +00:00
s_modf.c
…
s_modff.c
…
s_nearbyint.c
Add C99's nearbyint{,f}() functions as wrappers around rint().
2004-07-06 04:46:08 +00:00
s_nextafter.c
Replace strong references with weak references. There's no
2005-03-07 21:27:37 +00:00
s_nextafterf.c
- Try harder to trick gcc into not optimizing away statements
2005-03-07 04:55:58 +00:00
s_nextafterl.c
Implement nexttoward and nextafterl; the latter is also known as
2005-03-07 04:56:46 +00:00
s_nexttoward.c
Implement nexttoward and nextafterl; the latter is also known as
2005-03-07 04:56:46 +00:00
s_nexttowardf.c
Implement nexttowardf. This is used on both platforms with 11-bit
2005-03-07 04:57:38 +00:00
s_remquo.c
Implement and document remquo() and remquof().
2005-03-25 04:40:44 +00:00
s_remquof.c
Implement and document remquo() and remquof().
2005-03-25 04:40:44 +00:00
s_rint.c
Remove an obsolete sentence from a comment.
2005-03-07 20:28:26 +00:00
s_rintf.c
Fix a bug where rintf() rounded the wrong way in round-to-nearest mode
2004-06-09 21:24:52 +00:00
s_round.c
The isnormal() in rev 1.2 should have been isfinite() so subnormals
2005-01-13 15:43:41 +00:00
s_roundf.c
The isnormal() in rev 1.2 should have been isfinite() so subnormals
2005-01-13 15:43:41 +00:00
s_roundl.c
Add roundl(), lroundl(), and llroundl().
2005-04-08 01:24:08 +00:00
s_scalbln.c
- Implement scalblnl.
2005-03-07 04:57:50 +00:00
s_scalbn.c
Replace strong references with weak references. There's no
2005-03-07 21:27:37 +00:00
s_scalbnf.c
Alias scalbnf as ldexpf. The two are identical in binary
2005-03-07 04:52:43 +00:00
s_scalbnl.c
Add scalbnl, also known as as ldexpl.
2005-03-07 04:52:58 +00:00
s_signbit.c
Fix two bugs in the signbit() macro, which was implemented last year:
2004-07-19 08:16:10 +00:00
s_signgam.c
…
s_significand.c
Only provide one copy of the math functions. If we provide a MD function,
2003-07-23 04:53:47 +00:00
s_significandf.c
…
s_sin.c
Moved the optimization for tiny x from __kernel_{cos,sin}[f](x) to
2005-10-24 14:08:36 +00:00
s_sinf.c
Exploit skew-symmetry to avoid an operation: -sin(x-A) = sin(A-x). This
2005-11-28 06:15:10 +00:00
s_tan.c
Moved the optimization for tiny x from __kernel_tan[f](x) to tan[f](x)
2005-11-02 14:01:45 +00:00
s_tanf.c
Changed spelling of the request-to-inline macro name to match the change
2005-11-28 05:35:32 +00:00
s_tanh.c
…
s_tanhf.c
…
s_trunc.c
Implement trunc() and truncf().
2004-06-20 09:25:43 +00:00
s_truncf.c
Implement trunc() and truncf().
2004-06-20 09:25:43 +00:00
s_truncl.c
Revert the last change, the conversion from long double to double can raise
2005-04-28 19:45:55 +00:00
w_cabs.c
…
w_cabsf.c
…
w_drem.c
…
w_dremf.c
Work around known GCC 3.4.x problem and use ANSI prototype for dremf().
2004-07-28 05:53:18 +00:00