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authorWilco Dijkstra <wdijkstr@arm.com>2018-02-12 10:42:42 +0000
committerWilco Dijkstra <wdijkstr@arm.com>2018-02-12 10:47:09 +0000
commitc3d466cba1692708a19c6ff829d0386c83a0c6e5 (patch)
treed01ce6103dc25d3b662898c3429b8b103b8d3155 /manual/probes.texi
parent7bb087bd7bfe3616c4c0974a3f7352b593353ea5 (diff)
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Remove slow paths from pow
Remove the slow paths from pow.  Like several other double precision math
functions, pow is exactly rounded.  This is not required from math functions
and causes major overheads as it requires multiple fallbacks using higher
precision arithmetic if a result is close to 0.5ULP.  Ridiculous slowdowns
of up to 100000x have been reported when the highest precision path triggers.

All GLIBC math tests pass on AArch64 and x64 (with ULP of pow set to 1).
The worst case error is ~0.506ULP.  A simple test over a few hundred million
values shows pow is 10% faster on average.  This fixes BZ #13932.

	[BZ #13932]
	* sysdeps/ieee754/dbl-64/uexp.h (err_1): Remove.
	* benchtests/pow-inputs: Update comment for slow path cases.
	* manual/probes.texi (slowpow_p10): Delete removed probe.
	(slowpow_p10): Likewise.
	* math/Makefile: Remove halfulp.c and slowpow.c.
	* sysdeps/aarch64/libm-test-ulps: Set ULP of pow to 1.
	* sysdeps/generic/math_private.h (__exp1): Remove error argument.
	(__halfulp): Remove.
	(__slowpow): Remove.
	* sysdeps/i386/fpu/halfulp.c: Delete file.
	* sysdeps/i386/fpu/slowpow.c: Likewise.
	* sysdeps/ia64/fpu/halfulp.c: Likewise.
	* sysdeps/ia64/fpu/slowpow.c: Likewise.
	* sysdeps/ieee754/dbl-64/e_exp.c (__exp1): Remove error argument,
	improve comments and add error analysis.
	* sysdeps/ieee754/dbl-64/e_pow.c (__ieee754_pow): Add error analysis.
	(power1): Remove function:
	(log1): Remove error argument, add error analysis.
	(my_log2): Remove function.
	* sysdeps/ieee754/dbl-64/halfulp.c: Delete file.
	* sysdeps/ieee754/dbl-64/slowpow.c: Likewise.
	* sysdeps/m68k/m680x0/fpu/halfulp.c: Likewise.
	* sysdeps/m68k/m680x0/fpu/slowpow.c: Likewise.
	* sysdeps/powerpc/power4/fpu/Makefile: Remove CPPFLAGS-slowpow.c.
	* sysdeps/x86_64/fpu/libm-test-ulps: Set ULP of pow to 1.
	* sysdeps/x86_64/fpu/multiarch/Makefile: Remove slowpow-fma.c,
	slowpow-fma4.c, halfulp-fma.c, halfulp-fma4.c.
	* sysdeps/x86_64/fpu/multiarch/e_pow-fma.c (__slowpow): Remove define.
	* sysdeps/x86_64/fpu/multiarch/e_pow-fma4.c (__slowpow): Likewise.
	* sysdeps/x86_64/fpu/multiarch/halfulp-fma.c: Delete file.
	* sysdeps/x86_64/fpu/multiarch/halfulp-fma4.c: Likewise.
	* sysdeps/x86_64/fpu/multiarch/slowpow-fma.c: Likewise.
	* sysdeps/x86_64/fpu/multiarch/slowpow-fma4.c: Likewise.
Diffstat (limited to 'manual/probes.texi')
-rw-r--r--manual/probes.texi16
1 files changed, 0 insertions, 16 deletions
diff --git a/manual/probes.texi b/manual/probes.texi
index e99b7f3cb4..9584838546 100644
--- a/manual/probes.texi
+++ b/manual/probes.texi
@@ -272,22 +272,6 @@ input that results in multiple precision computation with precision
 computed output.
 @end deftp
 
-@deftp Probe slowpow_p10 (double @var{$arg1}, double @var{$arg2}, double @var{$arg3}, double @var{$arg4})
-This probe is triggered when the @code{pow} function is called with
-inputs that result in multiple precision computation with precision
-10.  Arguments @var{$arg1} and @var{$arg2} are the input values,
-@code{$arg3} is the value computed in the fast phase of the algorithm
-and @code{$arg4} is the final accurate value.
-@end deftp
-
-@deftp Probe slowpow_p32 (double @var{$arg1}, double @var{$arg2}, double @var{$arg3}, double @var{$arg4})
-This probe is triggered when the @code{pow} function is called with an
-input that results in multiple precision computation with precision
-32.  Arguments @var{$arg1} and @var{$arg2} are the input values,
-@code{$arg3} is the value computed in the fast phase of the algorithm
-and @code{$arg4} is the final accurate value.
-@end deftp
-
 @deftp Probe slowatan2 (int @var{$arg1}, double @var{$arg2}, double @var{$arg3}, double @var{$arg4})
 This probe is triggered when the @code{atan2} function is called with
 an input that results in multiple precision computation.  Argument