* [PATCH 1/5] benchtests: Add exp10f benchmark
@ 2020-04-09 19:59 Adhemerval Zanella
2020-04-09 19:59 ` [PATCH 2/5] math: Optimized generic exp10f with wrappers Adhemerval Zanella
` (4 more replies)
0 siblings, 5 replies; 21+ messages in thread
From: Adhemerval Zanella @ 2020-04-09 19:59 UTC (permalink / raw)
To: libc-alpha
From: Paul Zimmermann <Paul.Zimmermann@inria.fr>
It is based on converting the expf one and removing the
workload-spec2017.wrf line.
---
benchtests/Makefile | 3 +-
benchtests/exp10f-inputs | 2387 ++++++++++++++++++++++++++++++++++++++
2 files changed, 2389 insertions(+), 1 deletion(-)
create mode 100644 benchtests/exp10f-inputs
diff --git a/benchtests/Makefile b/benchtests/Makefile
index 335d643ecb..a9d71f2c44 100644
--- a/benchtests/Makefile
+++ b/benchtests/Makefile
@@ -24,7 +24,8 @@ include ../Makeconfig
bench-math := acos acosh asin asinh atan atanh cos cosh exp exp2 log log2 \
modf pow rint sin sincos sinh sqrt tan tanh fmin fmax fminf \
fmaxf powf trunc truncf roundeven roundevenf expf exp2f logf \
- log2f sincosf sinf cosf isnan isinf isfinite hypot logb logbf
+ log2f sincosf sinf cosf isnan isinf isfinite hypot logb logbf \
+ exp10f
bench-pthread := pthread_once thread_create
diff --git a/benchtests/exp10f-inputs b/benchtests/exp10f-inputs
new file mode 100644
index 0000000000..d82345cd53
--- /dev/null
+++ b/benchtests/exp10f-inputs
@@ -0,0 +1,2387 @@
+## args: float
+## ret: float
+## includes: math.h
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--
2.17.1
^ permalink raw reply [flat|nested] 21+ messages in thread
* [PATCH 2/5] math: Optimized generic exp10f with wrappers
2020-04-09 19:59 [PATCH 1/5] benchtests: Add exp10f benchmark Adhemerval Zanella
@ 2020-04-09 19:59 ` Adhemerval Zanella
2020-04-10 6:32 ` paul zimmermann
2020-04-29 17:11 ` Adhemerval Zanella
2020-04-09 19:59 ` [PATCH 3/5] i386: Use generic exp10f Adhemerval Zanella
` (3 subsequent siblings)
4 siblings, 2 replies; 21+ messages in thread
From: Adhemerval Zanella @ 2020-04-09 19:59 UTC (permalink / raw)
To: libc-alpha
From: Paul Zimmermann <Paul.Zimmermann@inria.fr>
It is inspired by expf and reuses its tables and internal functions.
The error checks are inlined and errno setting is in separate tail
called functions, but the wrappers are kept in this patch to handle
the _LIB_VERSION==_SVID_ case.
Double precision arithmetics is used which is expected to be faster on
most targets (including soft-float) than using single precision and it
is easier to get good precision result with it.
Result for x86_64 (i7-4790K CPU @ 4.00GHz) are:
Before new code:
"exp10f": {
"": {
"duration": 1.00923e+09,
"iterations": 5.4832e+07,
"max": 249.361,
"min": 12.5,
"mean": 18.4059
}
With new code:
"exp10f": {
"": {
"duration": 9.7639e+08,
"iterations": 8.1056e+07,
"max": 563.323,
"min": 11.54,
"mean": 12.0459
}
Result for aarch64 (A72 @ 2GHz) are:
Before new code:
"exp10f": {
"": {
"duration": 1.00923e+09,
"iterations": 5.4832e+07,
"max": 249.361,
"min": 12.5,
"mean": 18.4059
}
With new code:
"exp10f": {
"": {
"duration": 9.7639e+08,
"iterations": 8.1056e+07,
"max": 563.323,
"min": 11.54,
"mean": 12.0459
}
Checked on x86_64-linux-gnu, powerpc64le-linux-gnu, aarch64-linux-gnu,
and sparc64-linux-gnu.
---
math/e_exp10f.c | 32 -----
sysdeps/ieee754/flt-32/e_exp10f.c | 198 +++++++++++++++++++++++++++
sysdeps/ieee754/flt-32/math_config.h | 2 +-
3 files changed, 199 insertions(+), 33 deletions(-)
delete mode 100644 math/e_exp10f.c
create mode 100644 sysdeps/ieee754/flt-32/e_exp10f.c
diff --git a/math/e_exp10f.c b/math/e_exp10f.c
deleted file mode 100644
index 93c41d00a6..0000000000
--- a/math/e_exp10f.c
+++ /dev/null
@@ -1,32 +0,0 @@
-/* Copyright (C) 1998-2020 Free Software Foundation, Inc.
- This file is part of the GNU C Library.
- Contributed by Ulrich Drepper <drepper@cygnus.com>, 1998.
-
- The GNU C Library is free software; you can redistribute it and/or
- modify it under the terms of the GNU Lesser General Public
- License as published by the Free Software Foundation; either
- version 2.1 of the License, or (at your option) any later version.
-
- The GNU C Library is distributed in the hope that it will be useful,
- but WITHOUT ANY WARRANTY; without even the implied warranty of
- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
- Lesser General Public License for more details.
-
- You should have received a copy of the GNU Lesser General Public
- License along with the GNU C Library; if not, see
- <https://www.gnu.org/licenses/>. */
-
-#include <math.h>
-#include <math_private.h>
-#include <libm-alias-finite.h>
-
-float
-__ieee754_exp10f (float arg)
-{
- /* The argument to exp needs to be calculated in enough precision
- that the fractional part has as much precision as float, in
- addition to the bits in the integer part; using double ensures
- this. */
- return __ieee754_exp (M_LN10 * arg);
-}
-libm_alias_finite (__ieee754_exp10f, __exp10f)
diff --git a/sysdeps/ieee754/flt-32/e_exp10f.c b/sysdeps/ieee754/flt-32/e_exp10f.c
new file mode 100644
index 0000000000..034a9e364a
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/e_exp10f.c
@@ -0,0 +1,198 @@
+/* Single-precision 10^x function.
+ Copyright (C) 2020 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Lesser General Public
+ License as published by the Free Software Foundation; either
+ version 2.1 of the License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with the GNU C Library; if not, see
+ <https://www.gnu.org/licenses/>. */
+
+#include <math.h>
+#include <math-narrow-eval.h>
+#include <stdint.h>
+#include <libm-alias-finite.h>
+#include <libm-alias-float.h>
+#include "math_config.h"
+
+/*
+ EXP2F_TABLE_BITS 5
+ EXP2F_POLY_ORDER 3
+
+ Max. ULP error: 0.502 (normal range, nearest rounding).
+ Max. relative error: 2^-33.240 (before rounding to float).
+ Wrong count: 169839.
+ Non-nearest ULP error: 1 (rounded ULP error).
+
+ Detailed error analysis (for EXP2F_TABLE_BITS=3 thus N=32):
+
+ - We first compute z = RN(InvLn10N * x) where
+
+ InvLn10N = N*log(10)/log(2) * (1 + theta1) with |theta1| < 2^-54.150
+
+ since z is rounded to nearest:
+
+ z = InvLn10N * x * (1 + theta2) with |theta2| < 2^-53
+
+ thus z = N*log(10)/log(2) * x * (1 + theta3) with |theta3| < 2^-52.463
+
+ - Since |x| < 38 in the main branch, we deduce:
+
+ z = N*log(10)/log(2) * x + theta4 with |theta4| < 2^-40.483
+
+ - We then write z = k + r where k is an integer and |r| <= 0.5 (exact)
+
+ - We thus have
+
+ x = z*log(2)/(N*log(10)) - theta4*log(2)/(N*log(10))
+ = z*log(2)/(N*log(10)) + theta5 with |theta5| < 2^-47.215
+
+ 10^x = 2^(k/N) * 2^(r/N) * 10^theta5
+ = 2^(k/N) * 2^(r/N) * (1 + theta6) with |theta6| < 2^-46.011
+
+ - Then 2^(k/N) is approximated by table lookup, the maximal relative error
+ is for (k%N) = 5, with
+
+ s = 2^(i/N) * (1 + theta7) with |theta7| < 2^-53.249
+
+ - 2^(r/N) is approximated by a degree-3 polynomial, where the maximal
+ mathematical relative error is 2^-33.243.
+
+ - For C[0] * r + C[1], assuming no FMA is used, since |r| <= 0.5 and
+ |C[0]| < 1.694e-6, |C[0] * r| < 8.47e-7, and the absolute error on
+ C[0] * r is bounded by 1/2*ulp(8.47e-7) = 2^-74. Then we add C[1] with
+ |C[1]| < 0.000235, thus the absolute error on C[0] * r + C[1] is bounded
+ by 2^-65.994 (z is bounded by 0.000236).
+
+ - For r2 = r * r, since |r| <= 0.5, we have |r2| <= 0.25 and the absolute
+ error is bounded by 1/4*ulp(0.25) = 2^-56 (the factor 1/4 is because |r2|
+ cannot exceed 1/4, and on the left of 1/4 the distance between two
+ consecutive numbers is 1/4*ulp(1/4)).
+
+ - For y = C[2] * r + 1, assuming no FMA is used, since |r| <= 0.5 and
+ |C[2]| < 0.0217, the absolute error on C[2] * r is bounded by 2^-60,
+ and thus the absolute error on C[2] * r + 1 is bounded by 1/2*ulp(1)+2^60
+ < 2^-52.988, and |y| < 1.01085 (the error bound is better if a FMA is
+ used).
+
+ - for z * r2 + y: the absolute error on z is bounded by 2^-65.994, with
+ |z| < 0.000236, and the absolute error on r2 is bounded by 2^-56, with
+ r2 < 0.25, thus |z*r2| < 0.000059, and the absolute error on z * r2
+ (including the rounding error) is bounded by:
+
+ 2^-65.994 * 0.25 + 0.000236 * 2^-56 + 1/2*ulp(0.000059) < 2^-66.429.
+
+ Now we add y, with |y| < 1.01085, and error on y bounded by 2^-52.988,
+ thus the absolute error is bounded by:
+
+ 2^-66.429 + 2^-52.988 + 1/2*ulp(1.01085) < 2^-51.993
+
+ - Now we convert the error on y into relative error. Recall that y
+ approximates 2^(r/N), for |r| <= 0.5 and N=32. Thus 2^(-0.5/32) <= y,
+ and the relative error on y is bounded by
+
+ 2^-51.993/2^(-0.5/32) < 2^-51.977
+
+ - Taking into account the mathematical relative error of 2^-33.243 we have:
+
+ y = 2^(r/N) * (1 + theta8) with |theta8| < 2^-33.242
+
+ - Since we had s = 2^(k/N) * (1 + theta7) with |theta7| < 2^-53.249,
+ after y = y * s we get y = 2^(k/N) * 2^(r/N) * (1 + theta9)
+ with |theta9| < 2^-33.241
+
+ - Finally, taking into account the error theta6 due to the rounding error on
+ InvLn10N, and when multiplying InvLn10N * x, we get:
+
+ y = 10^x * (1 + theta10) with |theta10| < 2^-33.240
+
+ - Converting into binary64 ulps, since y < 2^53*ulp(y), the error is at most
+ 2^19.76 ulp(y)
+
+ - If the result is a binary32 value in the normal range (i.e., >= 2^-126),
+ then the error is at most 2^-9.24 ulps, i.e., less than 0.00166 (in the
+ subnormal range, the error in ulps might be larger).
+
+ Note that this bound is tight, since for x=-0x25.54ac0p0 the final value of
+ y (before conversion to float) differs from 879853 ulps from the correctly
+ rounded value, and 879853 ~ 2^19.7469. */
+
+#define N (1 << EXP2F_TABLE_BITS)
+
+#define InvLn10N (0x3.5269e12f346e2p0 * N) /* log(10)/log(2) to nearest */
+#define T __exp2f_data.tab
+#define C __exp2f_data.poly_scaled
+#define SHIFT __exp2f_data.shift
+
+static inline uint32_t
+top13 (float x)
+{
+ return asuint (x) >> 19;
+}
+
+float
+__ieee754_exp10f (float x)
+{
+ uint32_t abstop;
+ uint64_t ki, t;
+ double kd, xd, z, r, r2, y, s;
+
+ xd = (double) x;
+ abstop = top13 (x) & 0xfff; /* Ignore sign. */
+ if (__glibc_unlikely (abstop >= top13 (38.0f)))
+ {
+ /* |x| >= 38 or x is nan. */
+ if (asuint (x) == asuint (-INFINITY))
+ return 0.0f;
+ if (abstop >= top13 (INFINITY))
+ return x + x;
+ /* 0x26.8826ap0 is the largest value such that 10^x < 2^128. */
+ if (x > 0x26.8826ap0f)
+ return __math_oflowf (0);
+ /* -0x2d.278d4p0 is the smallest value such that 10^x > 2^-150. */
+ if (x < -0x2d.278d4p0f)
+ return __math_uflowf (0);
+#if WANT_ERRNO_UFLOW
+ if (x < -0x2c.da7cfp0)
+ return __math_may_uflowf (0);
+#endif
+ /* the smallest value such that 10^x >= 2^-126 (normal range)
+ is x = -0x25.ee060p0 */
+ /* we go through here for 2014929 values out of 2060451840
+ (not counting NaN and infinities, i.e., about 0.1% */
+ }
+
+ /* x*N*Ln10/Ln2 = k + r with r in [-1/2, 1/2] and int k. */
+ z = InvLn10N * xd;
+ /* |xd| < 38 thus |z| < 1216 */
+#if TOINT_INTRINSICS
+ kd = roundtoint (z);
+ ki = converttoint (z);
+#else
+# define SHIFT __exp2f_data.shift
+ kd = math_narrow_eval ((double) (z + SHIFT)); /* Needs to be double. */
+ ki = asuint64 (kd);
+ kd -= SHIFT;
+#endif
+ r = z - kd;
+
+ /* 10^x = 10^(k/N) * 10^(r/N) ~= s * (C0*r^3 + C1*r^2 + C2*r + 1) */
+ t = T[ki % N];
+ t += ki << (52 - EXP2F_TABLE_BITS);
+ s = asdouble (t);
+ z = C[0] * r + C[1];
+ r2 = r * r;
+ y = C[2] * r + 1;
+ y = z * r2 + y;
+ y = y * s;
+ return (float) y;
+}
+libm_alias_finite (__ieee754_exp10f, __exp10f)
diff --git a/sysdeps/ieee754/flt-32/math_config.h b/sysdeps/ieee754/flt-32/math_config.h
index bf79274ce7..4817e500e1 100644
--- a/sysdeps/ieee754/flt-32/math_config.h
+++ b/sysdeps/ieee754/flt-32/math_config.h
@@ -109,7 +109,7 @@ attribute_hidden float __math_may_uflowf (uint32_t);
attribute_hidden float __math_divzerof (uint32_t);
attribute_hidden float __math_invalidf (float);
-/* Shared between expf, exp2f and powf. */
+/* Shared between expf, exp2f, exp10f, and powf. */
#define EXP2F_TABLE_BITS 5
#define EXP2F_POLY_ORDER 3
extern const struct exp2f_data
--
2.17.1
^ permalink raw reply [flat|nested] 21+ messages in thread
* [PATCH 3/5] i386: Use generic exp10f
2020-04-09 19:59 [PATCH 1/5] benchtests: Add exp10f benchmark Adhemerval Zanella
2020-04-09 19:59 ` [PATCH 2/5] math: Optimized generic exp10f with wrappers Adhemerval Zanella
@ 2020-04-09 19:59 ` Adhemerval Zanella
2020-04-29 17:11 ` Adhemerval Zanella
2020-04-09 19:59 ` [PATCH 4/5] New exp10f version without SVID compat wrapper Adhemerval Zanella
` (2 subsequent siblings)
4 siblings, 1 reply; 21+ messages in thread
From: Adhemerval Zanella @ 2020-04-09 19:59 UTC (permalink / raw)
To: libc-alpha
The generic implementation is twice as fast. Using the exp10f
benchmark:
* master:
"exp10f": {
"": {
"duration": 4.25753e+09,
"iterations": 3.3376e+07,
"max": 1414.77,
"min": 103.649,
"mean": 127.563
}
}
* patched:
"exp10f": {
"": {
"duration": 4.05755e+09,
"iterations": 6.9136e+07,
"max": 1489.64,
"min": 50.95,
"mean": 58.6894
}
}
Checked on i686-linux-gnu.
---
sysdeps/i386/fpu/e_exp10f.S | 54 -------------------------------------
1 file changed, 54 deletions(-)
delete mode 100644 sysdeps/i386/fpu/e_exp10f.S
diff --git a/sysdeps/i386/fpu/e_exp10f.S b/sysdeps/i386/fpu/e_exp10f.S
deleted file mode 100644
index 196ce8744a..0000000000
--- a/sysdeps/i386/fpu/e_exp10f.S
+++ /dev/null
@@ -1,54 +0,0 @@
-/*
- * Written by Ulrich Drepper.
- */
-
-#include <machine/asm.h>
-#include <i386-math-asm.h>
-#include <libm-alias-finite.h>
-
-DEFINE_FLT_MIN
-
-#ifdef PIC
-# define MO(op) op##@GOTOFF(%ecx)
-#else
-# define MO(op) op
-#endif
-
- .text
-/* 10^x = 2^(x * log2(10)) */
-ENTRY(__ieee754_exp10f)
-#ifdef PIC
- LOAD_PIC_REG (cx)
-#endif
- flds 4(%esp)
-/* I added the following ugly construct because exp(+-Inf) resulted
- in NaN. The ugliness results from the bright minds at Intel.
- For the i686 the code can be written better.
- -- drepper@cygnus.com. */
- fxam /* Is NaN or +-Inf? */
- fstsw %ax
- movb $0x45, %dh
- andb %ah, %dh
- cmpb $0x05, %dh
- je 1f /* Is +-Inf, jump. */
- fldl2t
- fmulp /* x * log2(10) */
- fld %st
- frndint /* int(x * log2(10)) */
- fsubr %st,%st(1) /* fract(x * log2(10)) */
- fxch
- f2xm1 /* 2^(fract(x * log2(10))) - 1 */
- fld1
- faddp /* 2^(fract(x * log2(10))) */
- fscale /* e^x */
- fstp %st(1)
- FLT_NARROW_EVAL_UFLOW_NONNEG_NAN
- ret
-
-1: testl $0x200, %eax /* Test sign. */
- jz 2f /* If positive, jump. */
- fstp %st
- fldz /* Set result to 0. */
-2: ret
-END (__ieee754_exp10f)
-libm_alias_finite (__ieee754_exp10f, __exp10f)
--
2.17.1
^ permalink raw reply [flat|nested] 21+ messages in thread
* [PATCH 4/5] New exp10f version without SVID compat wrapper
2020-04-09 19:59 [PATCH 1/5] benchtests: Add exp10f benchmark Adhemerval Zanella
2020-04-09 19:59 ` [PATCH 2/5] math: Optimized generic exp10f with wrappers Adhemerval Zanella
2020-04-09 19:59 ` [PATCH 3/5] i386: Use generic exp10f Adhemerval Zanella
@ 2020-04-09 19:59 ` Adhemerval Zanella
2020-04-29 17:11 ` Adhemerval Zanella
2020-04-09 19:59 ` [PATCH 5/5] ia64: Use generic exp10f Adhemerval Zanella
2020-04-16 20:41 ` [PATCH 1/5] benchtests: Add exp10f benchmark Adhemerval Zanella
4 siblings, 1 reply; 21+ messages in thread
From: Adhemerval Zanella @ 2020-04-09 19:59 UTC (permalink / raw)
To: libc-alpha
This patch changes the exp10f error handling semantics to only set
errno according to POSIX rules. New symbol version is introduced at
GLIBC_2.32. The old wrappers are kept for compat symbols.
There are some outliers that need special handling:
- ia64 provides an optimized implementation of exp10f that uses ia64
specific routines to set SVID compatibility. The new symbol version
is aliased to the exp10f one.
- m68k also provides an optimized implementation, and the new version
uses it instead of the sysdeps/ieee754/flt32 one.
- riscv and csky uses the generic template implementation that
does not provide SVID support. For both cases a new exp10f
version is not added, but rather the symbols version of the
generic sysdeps/ieee754/flt32 is adjusted instead.
Checked on aarch64-linux-gnu, x86_64-linux-gnu, i686-linux-gnu,
powerpc64le-linux-gnu.
---
math/Versions | 3 +++
math/w_exp10f.c | 1 +
math/w_exp10f_compat.c | 8 ++++----
sysdeps/ia64/fpu/e_exp10f.S | 12 +++++++++---
sysdeps/ieee754/flt-32/e_exp10f.c | 16 +++++++++++++++-
sysdeps/m68k/m680x0/fpu/e_exp10f.c | 5 +++++
sysdeps/mach/hurd/i386/libm.abilist | 1 +
sysdeps/unix/sysv/linux/aarch64/libm.abilist | 1 +
sysdeps/unix/sysv/linux/alpha/libm.abilist | 1 +
sysdeps/unix/sysv/linux/arm/be/libm.abilist | 1 +
sysdeps/unix/sysv/linux/arm/le/libm.abilist | 1 +
sysdeps/unix/sysv/linux/hppa/libm.abilist | 1 +
sysdeps/unix/sysv/linux/i386/libm.abilist | 1 +
sysdeps/unix/sysv/linux/ia64/libm.abilist | 1 +
.../unix/sysv/linux/m68k/coldfire/libm.abilist | 1 +
sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist | 1 +
.../unix/sysv/linux/microblaze/be/libm.abilist | 1 +
.../unix/sysv/linux/microblaze/le/libm.abilist | 1 +
sysdeps/unix/sysv/linux/mips/mips32/libm.abilist | 1 +
sysdeps/unix/sysv/linux/mips/mips64/libm.abilist | 1 +
sysdeps/unix/sysv/linux/nios2/libm.abilist | 1 +
.../linux/powerpc/powerpc32/fpu/libm.abilist | 1 +
.../sysv/linux/powerpc/powerpc64/be/libm.abilist | 1 +
.../sysv/linux/powerpc/powerpc64/le/libm.abilist | 1 +
.../unix/sysv/linux/s390/s390-32/libm.abilist | 1 +
.../unix/sysv/linux/s390/s390-64/libm.abilist | 1 +
sysdeps/unix/sysv/linux/sh/be/libm.abilist | 1 +
sysdeps/unix/sysv/linux/sh/le/libm.abilist | 1 +
.../unix/sysv/linux/sparc/sparc32/libm.abilist | 1 +
.../unix/sysv/linux/sparc/sparc64/libm.abilist | 1 +
sysdeps/unix/sysv/linux/x86_64/64/libm.abilist | 1 +
sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist | 1 +
32 files changed, 63 insertions(+), 8 deletions(-)
create mode 100644 math/w_exp10f.c
diff --git a/math/Versions b/math/Versions
index d892c5f911..5b3c321490 100644
--- a/math/Versions
+++ b/math/Versions
@@ -590,4 +590,7 @@ libm {
totalorderf128;
totalordermagf128;
}
+ GLIBC_2.32 {
+ exp10f;
+ }
}
diff --git a/math/w_exp10f.c b/math/w_exp10f.c
new file mode 100644
index 0000000000..6e25b021ab
--- /dev/null
+++ b/math/w_exp10f.c
@@ -0,0 +1 @@
+/* Empty. */
diff --git a/math/w_exp10f_compat.c b/math/w_exp10f_compat.c
index 2ab0940601..ea8f947193 100644
--- a/math/w_exp10f_compat.c
+++ b/math/w_exp10f_compat.c
@@ -28,9 +28,9 @@
#if LIBM_SVID_COMPAT
float
-__exp10f (float x)
+__exp10f_compat (float x)
{
- float z = __ieee754_exp10f (x);
+ float z = __exp10f (x);
if (__builtin_expect (!isfinite (z) || z == 0, 0)
&& isfinite (x) && _LIB_VERSION != _IEEE_)
/* exp10f overflow (146) if x > 0, underflow (147) if x < 0. */
@@ -38,9 +38,9 @@ __exp10f (float x)
return z;
}
-libm_alias_float (__exp10, exp10)
+compat_symbol (libm, __exp10f_compat, exp10f, GLIBC_2_1);
# if SHLIB_COMPAT (libm, GLIBC_2_1, GLIBC_2_27)
-strong_alias (__exp10f, __pow10f)
+strong_alias (__exp10f_compat, __pow10f)
compat_symbol (libm, __pow10f, pow10f, GLIBC_2_1);
# endif
#endif
diff --git a/sysdeps/ia64/fpu/e_exp10f.S b/sysdeps/ia64/fpu/e_exp10f.S
index 67218c737f..e82394b725 100644
--- a/sysdeps/ia64/fpu/e_exp10f.S
+++ b/sysdeps/ia64/fpu/e_exp10f.S
@@ -218,7 +218,7 @@ LOCAL_OBJECT_END(T_table)
.section .text
-GLOBAL_IEEE754_ENTRY(exp10f)
+GLOBAL_IEEE754_ENTRY(__exp10f)
{.mfi
@@ -487,11 +487,17 @@ OUT_RANGE_exp10:
}
;;
-GLOBAL_IEEE754_END(exp10f)
+GLOBAL_IEEE754_END(__exp10f)
libm_alias_float_other (__exp10, exp10)
#if SHLIB_COMPAT (libm, GLIBC_2_1, GLIBC_2_27)
-compat_symbol (libm, exp10f, pow10f, GLIBC_2_2)
+strong_alias (__exp10f, __pow10f_compat)
+compat_symbol (libm, __pow10f_compat, pow10f, GLIBC_2_2)
#endif
+#if SHLIB_COMPAT (libm, GLIBC_2_1, GLIBC_2_32)
+strong_alias (__exp10f, __exp10f_compat)
+compat_symbol (libm, __exp10f_compat, exp10f, GLIBC_2_1)
+#endif
+versioned_symbol (libm, __exp10f, exp10f, GLIBC_2_32)
LOCAL_LIBM_ENTRY(__libm_error_region)
diff --git a/sysdeps/ieee754/flt-32/e_exp10f.c b/sysdeps/ieee754/flt-32/e_exp10f.c
index 034a9e364a..f51c499b83 100644
--- a/sysdeps/ieee754/flt-32/e_exp10f.c
+++ b/sysdeps/ieee754/flt-32/e_exp10f.c
@@ -21,6 +21,8 @@
#include <stdint.h>
#include <libm-alias-finite.h>
#include <libm-alias-float.h>
+#include <shlib-compat.h>
+#include <math-svid-compat.h>
#include "math_config.h"
/*
@@ -139,7 +141,7 @@ top13 (float x)
}
float
-__ieee754_exp10f (float x)
+__exp10f (float x)
{
uint32_t abstop;
uint64_t ki, t;
@@ -195,4 +197,16 @@ __ieee754_exp10f (float x)
y = y * s;
return (float) y;
}
+#ifndef __exp10f
+strong_alias (__exp10f, __ieee754_exp10f)
libm_alias_finite (__ieee754_exp10f, __exp10f)
+/* For architectures that already provided exp10f without SVID support, there
+ is no need to add a new version. */
+#if !LIBM_SVID_COMPAT
+# define EXP10F_VERSION GLIBC_2_26
+#else
+# define EXP10F_VERSION GLIBC_2_32
+#endif
+versioned_symbol (libm, __exp10f, exp10f, EXP10F_VERSION);
+libm_alias_float_other (__exp10, exp10)
+#endif
diff --git a/sysdeps/m68k/m680x0/fpu/e_exp10f.c b/sysdeps/m68k/m680x0/fpu/e_exp10f.c
index f58fddd8a6..0d03f00e06 100644
--- a/sysdeps/m68k/m680x0/fpu/e_exp10f.c
+++ b/sysdeps/m68k/m680x0/fpu/e_exp10f.c
@@ -1,3 +1,8 @@
+#include <libm-alias-float.h>
#define FUNC __ieee754_exp10f
#define FUNC_FINITE __exp10f
#include <e_acosf.c>
+strong_alias (__ieee754_exp10f, __exp10f)
+libm_alias_finite (__ieee754_exp10f, __exp10f)
+versioned_symbol (libm, __exp10f, exp10f, GLIBC_2_32);
+libm_alias_float_other (__ieee754_exp10, exp10)
diff --git a/sysdeps/mach/hurd/i386/libm.abilist b/sysdeps/mach/hurd/i386/libm.abilist
index 1a41ae589f..a19a69ce6a 100644
--- a/sysdeps/mach/hurd/i386/libm.abilist
+++ b/sysdeps/mach/hurd/i386/libm.abilist
@@ -1089,3 +1089,4 @@ GLIBC_2.31 totalordermagf32x F
GLIBC_2.31 totalordermagf64 F
GLIBC_2.31 totalordermagf64x F
GLIBC_2.31 totalordermagl F
+GLIBC_2.32 exp10f F
diff --git a/sysdeps/unix/sysv/linux/aarch64/libm.abilist b/sysdeps/unix/sysv/linux/aarch64/libm.abilist
index 62e1fee467..5362c24e4c 100644
--- a/sysdeps/unix/sysv/linux/aarch64/libm.abilist
+++ b/sysdeps/unix/sysv/linux/aarch64/libm.abilist
@@ -1053,3 +1053,4 @@ GLIBC_2.31 totalordermagf32x F
GLIBC_2.31 totalordermagf64 F
GLIBC_2.31 totalordermagf64x F
GLIBC_2.31 totalordermagl F
+GLIBC_2.32 exp10f F
diff --git a/sysdeps/unix/sysv/linux/alpha/libm.abilist b/sysdeps/unix/sysv/linux/alpha/libm.abilist
index 08ac3905a0..650d10ec8e 100644
--- a/sysdeps/unix/sysv/linux/alpha/libm.abilist
+++ b/sysdeps/unix/sysv/linux/alpha/libm.abilist
@@ -1110,6 +1110,7 @@ GLIBC_2.31 totalordermagf32x F
GLIBC_2.31 totalordermagf64 F
GLIBC_2.31 totalordermagf64x F
GLIBC_2.31 totalordermagl F
+GLIBC_2.32 exp10f F
GLIBC_2.4 __clog10l F
GLIBC_2.4 __finitel F
GLIBC_2.4 __fpclassifyl F
diff --git a/sysdeps/unix/sysv/linux/arm/be/libm.abilist b/sysdeps/unix/sysv/linux/arm/be/libm.abilist
index dd5931f288..6914b58d76 100644
--- a/sysdeps/unix/sysv/linux/arm/be/libm.abilist
+++ b/sysdeps/unix/sysv/linux/arm/be/libm.abilist
@@ -470,6 +470,7 @@ GLIBC_2.31 totalordermagf32 F
GLIBC_2.31 totalordermagf32x F
GLIBC_2.31 totalordermagf64 F
GLIBC_2.31 totalordermagl F
+GLIBC_2.32 exp10f F
GLIBC_2.4 _LIB_VERSION D 0x4
GLIBC_2.4 __clog10 F
GLIBC_2.4 __clog10f F
diff --git a/sysdeps/unix/sysv/linux/arm/le/libm.abilist b/sysdeps/unix/sysv/linux/arm/le/libm.abilist
index dd5931f288..6914b58d76 100644
--- a/sysdeps/unix/sysv/linux/arm/le/libm.abilist
+++ b/sysdeps/unix/sysv/linux/arm/le/libm.abilist
@@ -470,6 +470,7 @@ GLIBC_2.31 totalordermagf32 F
GLIBC_2.31 totalordermagf32x F
GLIBC_2.31 totalordermagf64 F
GLIBC_2.31 totalordermagl F
+GLIBC_2.32 exp10f F
GLIBC_2.4 _LIB_VERSION D 0x4
GLIBC_2.4 __clog10 F
GLIBC_2.4 __clog10f F
diff --git a/sysdeps/unix/sysv/linux/hppa/libm.abilist b/sysdeps/unix/sysv/linux/hppa/libm.abilist
index e7686d71cf..6ac2295b05 100644
--- a/sysdeps/unix/sysv/linux/hppa/libm.abilist
+++ b/sysdeps/unix/sysv/linux/hppa/libm.abilist
@@ -781,4 +781,5 @@ GLIBC_2.31 totalordermagf32 F
GLIBC_2.31 totalordermagf32x F
GLIBC_2.31 totalordermagf64 F
GLIBC_2.31 totalordermagl F
+GLIBC_2.32 exp10f F
GLIBC_2.4 exp2l F
diff --git a/sysdeps/unix/sysv/linux/i386/libm.abilist b/sysdeps/unix/sysv/linux/i386/libm.abilist
index e67f9d7d27..0ab740dd97 100644
--- a/sysdeps/unix/sysv/linux/i386/libm.abilist
+++ b/sysdeps/unix/sysv/linux/i386/libm.abilist
@@ -1096,3 +1096,4 @@ GLIBC_2.31 totalordermagf32x F
GLIBC_2.31 totalordermagf64 F
GLIBC_2.31 totalordermagf64x F
GLIBC_2.31 totalordermagl F
+GLIBC_2.32 exp10f F
diff --git a/sysdeps/unix/sysv/linux/ia64/libm.abilist b/sysdeps/unix/sysv/linux/ia64/libm.abilist
index 0cf637f248..c8e8fd7142 100644
--- a/sysdeps/unix/sysv/linux/ia64/libm.abilist
+++ b/sysdeps/unix/sysv/linux/ia64/libm.abilist
@@ -1026,3 +1026,4 @@ GLIBC_2.31 totalordermagf32x F
GLIBC_2.31 totalordermagf64 F
GLIBC_2.31 totalordermagf64x F
GLIBC_2.31 totalordermagl F
+GLIBC_2.32 exp10f F
diff --git a/sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist b/sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist
index dd5931f288..6914b58d76 100644
--- a/sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist
+++ b/sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist
@@ -470,6 +470,7 @@ GLIBC_2.31 totalordermagf32 F
GLIBC_2.31 totalordermagf32x F
GLIBC_2.31 totalordermagf64 F
GLIBC_2.31 totalordermagl F
+GLIBC_2.32 exp10f F
GLIBC_2.4 _LIB_VERSION D 0x4
GLIBC_2.4 __clog10 F
GLIBC_2.4 __clog10f F
diff --git a/sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist b/sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist
index f0b17ae485..c60fdc6298 100644
--- a/sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist
+++ b/sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist
@@ -821,3 +821,4 @@ GLIBC_2.31 totalordermagf32 F
GLIBC_2.31 totalordermagf32x F
GLIBC_2.31 totalordermagf64 F
GLIBC_2.31 totalordermagl F
+GLIBC_2.32 exp10f F
diff --git a/sysdeps/unix/sysv/linux/microblaze/be/libm.abilist b/sysdeps/unix/sysv/linux/microblaze/be/libm.abilist
index 8dedc9a8a6..adea0fe4c0 100644
--- a/sysdeps/unix/sysv/linux/microblaze/be/libm.abilist
+++ b/sysdeps/unix/sysv/linux/microblaze/be/libm.abilist
@@ -782,3 +782,4 @@ GLIBC_2.31 totalordermagf32 F
GLIBC_2.31 totalordermagf32x F
GLIBC_2.31 totalordermagf64 F
GLIBC_2.31 totalordermagl F
+GLIBC_2.32 exp10f F
diff --git a/sysdeps/unix/sysv/linux/microblaze/le/libm.abilist b/sysdeps/unix/sysv/linux/microblaze/le/libm.abilist
index 8dedc9a8a6..adea0fe4c0 100644
--- a/sysdeps/unix/sysv/linux/microblaze/le/libm.abilist
+++ b/sysdeps/unix/sysv/linux/microblaze/le/libm.abilist
@@ -782,3 +782,4 @@ GLIBC_2.31 totalordermagf32 F
GLIBC_2.31 totalordermagf32x F
GLIBC_2.31 totalordermagf64 F
GLIBC_2.31 totalordermagl F
+GLIBC_2.32 exp10f F
diff --git a/sysdeps/unix/sysv/linux/mips/mips32/libm.abilist b/sysdeps/unix/sysv/linux/mips/mips32/libm.abilist
index a221d7be09..272969a26f 100644
--- a/sysdeps/unix/sysv/linux/mips/mips32/libm.abilist
+++ b/sysdeps/unix/sysv/linux/mips/mips32/libm.abilist
@@ -781,4 +781,5 @@ GLIBC_2.31 totalordermagf32 F
GLIBC_2.31 totalordermagf32x F
GLIBC_2.31 totalordermagf64 F
GLIBC_2.31 totalordermagl F
+GLIBC_2.32 exp10f F
GLIBC_2.4 exp2l F
diff --git a/sysdeps/unix/sysv/linux/mips/mips64/libm.abilist b/sysdeps/unix/sysv/linux/mips/mips64/libm.abilist
index 823f87277e..dd0dc6689c 100644
--- a/sysdeps/unix/sysv/linux/mips/mips64/libm.abilist
+++ b/sysdeps/unix/sysv/linux/mips/mips64/libm.abilist
@@ -1053,3 +1053,4 @@ GLIBC_2.31 totalordermagf32x F
GLIBC_2.31 totalordermagf64 F
GLIBC_2.31 totalordermagf64x F
GLIBC_2.31 totalordermagl F
+GLIBC_2.32 exp10f F
diff --git a/sysdeps/unix/sysv/linux/nios2/libm.abilist b/sysdeps/unix/sysv/linux/nios2/libm.abilist
index 64ac932c6a..4941deefa6 100644
--- a/sysdeps/unix/sysv/linux/nios2/libm.abilist
+++ b/sysdeps/unix/sysv/linux/nios2/libm.abilist
@@ -782,3 +782,4 @@ GLIBC_2.31 totalordermagf32 F
GLIBC_2.31 totalordermagf32x F
GLIBC_2.31 totalordermagf64 F
GLIBC_2.31 totalordermagl F
+GLIBC_2.32 exp10f F
diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist b/sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist
index 3fab31ff9c..fc2d142bd5 100644
--- a/sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist
+++ b/sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist
@@ -827,6 +827,7 @@ GLIBC_2.31 totalordermagf32 F
GLIBC_2.31 totalordermagf32x F
GLIBC_2.31 totalordermagf64 F
GLIBC_2.31 totalordermagl F
+GLIBC_2.32 exp10f F
GLIBC_2.4 __clog10l F
GLIBC_2.4 __finitel F
GLIBC_2.4 __fpclassifyl F
diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc64/be/libm.abilist b/sysdeps/unix/sysv/linux/powerpc/powerpc64/be/libm.abilist
index 1369ab510c..972c9bc597 100644
--- a/sysdeps/unix/sysv/linux/powerpc/powerpc64/be/libm.abilist
+++ b/sysdeps/unix/sysv/linux/powerpc/powerpc64/be/libm.abilist
@@ -820,6 +820,7 @@ GLIBC_2.31 totalordermagf32 F
GLIBC_2.31 totalordermagf32x F
GLIBC_2.31 totalordermagf64 F
GLIBC_2.31 totalordermagl F
+GLIBC_2.32 exp10f F
GLIBC_2.4 __clog10l F
GLIBC_2.4 __finitel F
GLIBC_2.4 __fpclassifyl F
diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc64/le/libm.abilist b/sysdeps/unix/sysv/linux/powerpc/powerpc64/le/libm.abilist
index d479a64fca..1ce52ea277 100644
--- a/sysdeps/unix/sysv/linux/powerpc/powerpc64/le/libm.abilist
+++ b/sysdeps/unix/sysv/linux/powerpc/powerpc64/le/libm.abilist
@@ -1097,3 +1097,4 @@ GLIBC_2.31 totalordermagf32x F
GLIBC_2.31 totalordermagf64 F
GLIBC_2.31 totalordermagf64x F
GLIBC_2.31 totalordermagl F
+GLIBC_2.32 exp10f F
diff --git a/sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist b/sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist
index cd6be8e584..321810d5a4 100644
--- a/sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist
+++ b/sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist
@@ -1054,6 +1054,7 @@ GLIBC_2.31 totalordermagf32x F
GLIBC_2.31 totalordermagf64 F
GLIBC_2.31 totalordermagf64x F
GLIBC_2.31 totalordermagl F
+GLIBC_2.32 exp10f F
GLIBC_2.4 __clog10l F
GLIBC_2.4 __finitel F
GLIBC_2.4 __fpclassifyl F
diff --git a/sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist b/sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist
index 5291424feb..451a860a83 100644
--- a/sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist
+++ b/sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist
@@ -1054,6 +1054,7 @@ GLIBC_2.31 totalordermagf32x F
GLIBC_2.31 totalordermagf64 F
GLIBC_2.31 totalordermagf64x F
GLIBC_2.31 totalordermagl F
+GLIBC_2.32 exp10f F
GLIBC_2.4 __clog10l F
GLIBC_2.4 __finitel F
GLIBC_2.4 __fpclassifyl F
diff --git a/sysdeps/unix/sysv/linux/sh/be/libm.abilist b/sysdeps/unix/sysv/linux/sh/be/libm.abilist
index de0f1c57c3..a5fb514eae 100644
--- a/sysdeps/unix/sysv/linux/sh/be/libm.abilist
+++ b/sysdeps/unix/sysv/linux/sh/be/libm.abilist
@@ -781,4 +781,5 @@ GLIBC_2.31 totalordermagf32 F
GLIBC_2.31 totalordermagf32x F
GLIBC_2.31 totalordermagf64 F
GLIBC_2.31 totalordermagl F
+GLIBC_2.32 exp10f F
GLIBC_2.4 exp2l F
diff --git a/sysdeps/unix/sysv/linux/sh/le/libm.abilist b/sysdeps/unix/sysv/linux/sh/le/libm.abilist
index de0f1c57c3..a5fb514eae 100644
--- a/sysdeps/unix/sysv/linux/sh/le/libm.abilist
+++ b/sysdeps/unix/sysv/linux/sh/le/libm.abilist
@@ -781,4 +781,5 @@ GLIBC_2.31 totalordermagf32 F
GLIBC_2.31 totalordermagf32x F
GLIBC_2.31 totalordermagf64 F
GLIBC_2.31 totalordermagl F
+GLIBC_2.32 exp10f F
GLIBC_2.4 exp2l F
diff --git a/sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist b/sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist
index fc52ebf64e..d81e8a726b 100644
--- a/sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist
+++ b/sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist
@@ -1061,6 +1061,7 @@ GLIBC_2.31 totalordermagf32x F
GLIBC_2.31 totalordermagf64 F
GLIBC_2.31 totalordermagf64x F
GLIBC_2.31 totalordermagl F
+GLIBC_2.32 exp10f F
GLIBC_2.4 __clog10l F
GLIBC_2.4 __finitel F
GLIBC_2.4 __fpclassifyl F
diff --git a/sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist b/sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist
index 5288a28533..3d12376d33 100644
--- a/sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist
+++ b/sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist
@@ -1053,3 +1053,4 @@ GLIBC_2.31 totalordermagf32x F
GLIBC_2.31 totalordermagf64 F
GLIBC_2.31 totalordermagf64x F
GLIBC_2.31 totalordermagl F
+GLIBC_2.32 exp10f F
diff --git a/sysdeps/unix/sysv/linux/x86_64/64/libm.abilist b/sysdeps/unix/sysv/linux/x86_64/64/libm.abilist
index d620e465d2..89c4ac484d 100644
--- a/sysdeps/unix/sysv/linux/x86_64/64/libm.abilist
+++ b/sysdeps/unix/sysv/linux/x86_64/64/libm.abilist
@@ -1087,3 +1087,4 @@ GLIBC_2.31 totalordermagf32x F
GLIBC_2.31 totalordermagf64 F
GLIBC_2.31 totalordermagf64x F
GLIBC_2.31 totalordermagl F
+GLIBC_2.32 exp10f F
diff --git a/sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist b/sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist
index 44b0eddc50..d3c9cec71a 100644
--- a/sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist
+++ b/sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist
@@ -1087,3 +1087,4 @@ GLIBC_2.31 totalordermagf32x F
GLIBC_2.31 totalordermagf64 F
GLIBC_2.31 totalordermagf64x F
GLIBC_2.31 totalordermagl F
+GLIBC_2.32 exp10f F
--
2.17.1
^ permalink raw reply [flat|nested] 21+ messages in thread
* [PATCH 5/5] ia64: Use generic exp10f
2020-04-09 19:59 [PATCH 1/5] benchtests: Add exp10f benchmark Adhemerval Zanella
` (2 preceding siblings ...)
2020-04-09 19:59 ` [PATCH 4/5] New exp10f version without SVID compat wrapper Adhemerval Zanella
@ 2020-04-09 19:59 ` Adhemerval Zanella
2020-04-09 21:18 ` Joseph Myers
2020-04-29 17:11 ` Adhemerval Zanella
2020-04-16 20:41 ` [PATCH 1/5] benchtests: Add exp10f benchmark Adhemerval Zanella
4 siblings, 2 replies; 21+ messages in thread
From: Adhemerval Zanella @ 2020-04-09 19:59 UTC (permalink / raw)
To: libc-alpha
The generic implementation is slight worse (Itanium(R) Processor 9020):
Before new code:
"exp10f": {
"": {
"duration": 3.52876e+08,
"iterations": 2.1456e+07,
"max": 232.907,
"min": 7.766,
"mean": 16.4465
}
}
With new code:
"exp10f": {
"": {
"duration": 3.67279e+08,
"iterations": 2.1456e+07,
"max": 220.718,
"min": 15.503,
"mean": 17.1178
}
}
However it fixes all the issues on both:
math/test-float-exp10
math/test-float32-exp10
(all the issues wrong results for non default rounding modes).
Checked on ia64-linux-gnu.
---
sysdeps/ia64/fpu/e_exp10f.S | 568 -----------------------------
sysdeps/ia64/fpu/e_exp2f_data.c | 1 -
sysdeps/ia64/fpu/libm-test-ulps | 3 +
sysdeps/ia64/fpu/math_errf.c | 1 -
sysdeps/ia64/fpu/w_exp10f.c | 1 -
sysdeps/ia64/fpu/w_exp10f_compat.c | 1 -
6 files changed, 3 insertions(+), 572 deletions(-)
delete mode 100644 sysdeps/ia64/fpu/e_exp10f.S
delete mode 100644 sysdeps/ia64/fpu/e_exp2f_data.c
delete mode 100644 sysdeps/ia64/fpu/math_errf.c
delete mode 100644 sysdeps/ia64/fpu/w_exp10f.c
delete mode 100644 sysdeps/ia64/fpu/w_exp10f_compat.c
diff --git a/sysdeps/ia64/fpu/e_exp10f.S b/sysdeps/ia64/fpu/e_exp10f.S
deleted file mode 100644
index e82394b725..0000000000
--- a/sysdeps/ia64/fpu/e_exp10f.S
+++ /dev/null
@@ -1,568 +0,0 @@
-.file "exp10f.s"
-
-
-// Copyright (c) 2000 - 2005, Intel Corporation
-// All rights reserved.
-//
-// Contributed 2000 by the Intel Numerics Group, Intel Corporation
-//
-// Redistribution and use in source and binary forms, with or without
-// modification, are permitted provided that the following conditions are
-// met:
-//
-// * Redistributions of source code must retain the above copyright
-// notice, this list of conditions and the following disclaimer.
-//
-// * Redistributions in binary form must reproduce the above copyright
-// notice, this list of conditions and the following disclaimer in the
-// documentation and/or other materials provided with the distribution.
-//
-// * The name of Intel Corporation may not be used to endorse or promote
-// products derived from this software without specific prior written
-// permission.
-
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
-// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
-// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-//
-// Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at
-// http://www.intel.com/software/products/opensource/libraries/num.htm.
-//
-// History
-//==============================================================
-// 08/25/00 Initial version
-// 05/20/02 Cleaned up namespace and sf0 syntax
-// 09/06/02 Improved performance and accuracy; no inexact flags on exact cases
-// 01/29/03 Added missing } to bundle templates
-// 12/16/04 Call error handling on underflow.
-// 03/31/05 Reformatted delimiters between data tables
-//
-// API
-//==============================================================
-// float exp10f(float)
-//
-// Overview of operation
-//==============================================================
-// Background
-//
-// Implementation
-//
-// Let x= (K + fh + fl + r)/log2(10), where
-// K is an integer, fh= 0.b1 b2 b3 b4 b5,
-// fl= 2^{-5}* 0.b6 b7 b8 b8 b10 (fh, fl >= 0),
-// and |r|<2^{-11}
-// Th is a table that stores 2^fh (32 entries) rounded to
-// double extended precision (only mantissa is stored)
-// Tl is a table that stores 2^fl (32 entries) rounded to
-// double extended precision (only mantissa is stored)
-//
-// 10^x is approximated as
-// 2^K * Th [ f ] * Tl [ f ] * (1+c1*r+c2*r^2)
-
-// Note there are only 10 non-zero values that produce an exact result:
-// 1.0, 2.0, ... 10.0.
-// We test for these cases and use s1 to avoid setting the inexact flag.
-
-// Special values
-//==============================================================
-// exp10(0)= 1
-// exp10(+inf)= inf
-// exp10(-inf)= 0
-//
-
-// Registers used
-//==============================================================
-// r2-r3, r14-r40
-// f6-f15, f32-f52
-// p6-p12
-//
-
-#include <shlib-compat.h>
-
-
-GR_TBL_START = r2
-GR_LOG_TBL = r3
-
-GR_OF_LIMIT = r14
-GR_UF_LIMIT = r15
-GR_EXP_CORR = r16
-GR_F_low = r17
-GR_F_high = r18
-GR_K = r19
-GR_Flow_ADDR = r20
-
-GR_BIAS = r21
-GR_Fh = r22
-GR_Fh_ADDR = r23
-GR_EXPMAX = r24
-
-GR_ROUNDVAL = r26
-GR_SNORM_LIMIT = r26
-GR_MASK = r27
-GR_KF0 = r28
-GR_MASK_low = r29
-GR_COEFF_START = r30
-GR_exact_limit = r31
-
-GR_SAVE_B0 = r33
-GR_SAVE_PFS = r34
-GR_SAVE_GP = r35
-GR_SAVE_SP = r36
-
-GR_Parameter_X = r37
-GR_Parameter_Y = r38
-GR_Parameter_RESULT = r39
-GR_Parameter_TAG = r40
-
-
-FR_X = f10
-FR_Y = f1
-FR_RESULT = f8
-
-
-FR_COEFF1 = f6
-FR_COEFF2 = f7
-FR_R = f9
-FR_LOG2_10 = f10
-
-FR_2P53 = f11
-FR_KF0 = f12
-FR_COEFF3 = f13
-FR_COEFF4 = f14
-FR_UF_LIMIT = f15
-
-FR_OF_LIMIT = f32
-FR_DX_L210 = f33
-FR_ROUNDVAL = f34
-FR_KF = f35
-
-FR_2_TO_K = f36
-FR_T_low = f37
-FR_T_high = f38
-
-FR_P12 = f41
-FR_T_low_K = f42
-FR_T = f44
-FR_P = f45
-
-FR_E = f49
-FR_exact_limit = f50
-
-FR_int_x = f51
-FR_SNORM_LIMIT = f52
-
-
-// Data tables
-//==============================================================
-
-RODATA
-
-.align 16
-
-LOCAL_OBJECT_START(poly_coeffs)
-
-data8 0xd49a784bcd1b8afe, 0x00003fcb // log2(10)*2^(10-63)
-data8 0xb17217f7d1cf79ab, 0x00004033 // C_1 * 2^53
-data8 0xf5fdeffc162c7541, 0x00004066 // C_2 * 2^106
-LOCAL_OBJECT_END(poly_coeffs)
-
-
-LOCAL_OBJECT_START(T_table)
-
-// 2^{0.00000 b6 b7 b8 b9 b10}
-data8 0x8000000000000000, 0x8016302f17467628
-data8 0x802c6436d0e04f50, 0x80429c17d77c18ed
-data8 0x8058d7d2d5e5f6b0, 0x806f17687707a7af
-data8 0x80855ad965e88b83, 0x809ba2264dada76a
-data8 0x80b1ed4fd999ab6c, 0x80c83c56b50cf77f
-data8 0x80de8f3b8b85a0af, 0x80f4e5ff089f763e
-data8 0x810b40a1d81406d4, 0x81219f24a5baa59d
-data8 0x813801881d886f7b, 0x814e67cceb90502c
-data8 0x8164d1f3bc030773, 0x817b3ffd3b2f2e47
-data8 0x8191b1ea15813bfd, 0x81a827baf7838b78
-data8 0x81bea1708dde6055, 0x81d51f0b8557ec1c
-data8 0x81eba08c8ad4536f, 0x820225f44b55b33b
-data8 0x8218af4373fc25eb, 0x822f3c7ab205c89a
-data8 0x8245cd9ab2cec048, 0x825c62a423d13f0c
-data8 0x8272fb97b2a5894c, 0x828998760d01faf3
-data8 0x82a0393fe0bb0ca8, 0x82b6ddf5dbc35906
-//
-// 2^{0.b1 b2 b3 b4 b5}
-data8 0x8000000000000000, 0x82cd8698ac2ba1d7
-data8 0x85aac367cc487b14, 0x88980e8092da8527
-data8 0x8b95c1e3ea8bd6e6, 0x8ea4398b45cd53c0
-data8 0x91c3d373ab11c336, 0x94f4efa8fef70961
-data8 0x9837f0518db8a96f, 0x9b8d39b9d54e5538
-data8 0x9ef5326091a111ad, 0xa27043030c496818
-data8 0xa5fed6a9b15138ea, 0xa9a15ab4ea7c0ef8
-data8 0xad583eea42a14ac6, 0xb123f581d2ac258f
-data8 0xb504f333f9de6484, 0xb8fbaf4762fb9ee9
-data8 0xbd08a39f580c36be, 0xc12c4cca66709456
-data8 0xc5672a115506dadd, 0xc9b9bd866e2f27a2
-data8 0xce248c151f8480e3, 0xd2a81d91f12ae45a
-data8 0xd744fccad69d6af4, 0xdbfbb797daf23755
-data8 0xe0ccdeec2a94e111, 0xe5b906e77c8348a8
-data8 0xeac0c6e7dd24392e, 0xefe4b99bdcdaf5cb
-data8 0xf5257d152486cc2c, 0xfa83b2db722a033a
-LOCAL_OBJECT_END(T_table)
-
-
-
-.section .text
-GLOBAL_IEEE754_ENTRY(__exp10f)
-
-
-{.mfi
- alloc r32= ar.pfs, 1, 4, 4, 0
- // will continue only for non-zero normal/denormal numbers
- fclass.nm.unc p12, p7= f8, 0x1b
- nop.i 0
-}
-{.mlx
- // GR_TBL_START= pointer to log2(10), C_1...C_4 followed by T_table
- addl GR_TBL_START= @ltoff(poly_coeffs), gp
- movl GR_ROUNDVAL= 0x3fc00000 // 1.5 (SP)
-}
-;;
-
-{.mfi
- ld8 GR_COEFF_START= [ GR_TBL_START ] // Load pointer to coeff table
- fcmp.lt.s1 p6, p8= f8, f0 // X<0 ?
- nop.i 0
-}
-;;
-
-{.mlx
- nop.m 0
- movl GR_UF_LIMIT= 0xc2349e35 // (-2^7-22) / log2(10)
-}
-{.mlx
- setf.s FR_ROUNDVAL= GR_ROUNDVAL
- movl GR_OF_LIMIT= 0x421a209a // Overflow threshold
-}
-;;
-
-{.mlx
- ldfe FR_LOG2_10= [ GR_COEFF_START ], 16 // load log2(10)*2^(10-63)
- movl GR_SNORM_LIMIT= 0xc217b818 // Smallest normal threshold
-}
-{.mib
- nop.m 0
- nop.i 0
- (p12) br.cond.spnt SPECIAL_exp10 // Branch if nan, inf, zero
-}
-;;
-
-{.mfi
- setf.s FR_OF_LIMIT= GR_OF_LIMIT // Set overflow limit
- fma.s0 f8= f8, f1, f0 // normalize x
- nop.i 0
-}
-;;
-
-{.mfi
- setf.s FR_SNORM_LIMIT= GR_SNORM_LIMIT // Set smallest normal limit
- (p8) fcvt.fx.s1 FR_int_x = f8 // Convert x to integer
- nop.i 0
-}
-{.mfi
- setf.s FR_UF_LIMIT= GR_UF_LIMIT // Set underflow limit
- fma.s1 FR_KF0= f8, FR_LOG2_10, FR_ROUNDVAL // y= (x*log2(10)*2^10 +
- // 1.5*2^63) * 2^(-63)
- mov GR_EXP_CORR= 0xffff-126
-}
-;;
-
-{.mfi
- ldfe FR_COEFF1= [ GR_COEFF_START ], 16 // load C_1
- fms.s1 FR_KF= FR_KF0, f1, FR_ROUNDVAL // (K+f)*2^(10-63)
- mov GR_MASK= 1023
-}
-;;
-
-{.mfi
- ldfe FR_COEFF2= [ GR_COEFF_START ], 16 // load C_2
- nop.f 0
- mov GR_MASK_low= 31
-}
-;;
-
-{.mlx
- getf.sig GR_KF0= FR_KF0 // (K+f)*2^10= round_to_int(y)
- (p8) movl GR_exact_limit= 0x41200000 // Largest x for exact result,
- // +10.0
-}
-;;
-
-{.mfi
- add GR_LOG_TBL= 256, GR_COEFF_START // Pointer to high T_table
- fcmp.gt.s1 p12, p7= f8, FR_OF_LIMIT // x>overflow threshold ?
- nop.i 0
-}
-;;
-
-{.mfi
- (p8) setf.s FR_exact_limit = GR_exact_limit // Largest x for exact result
- (p8) fcvt.xf FR_int_x = FR_int_x // Integral part of x
- shr GR_K= GR_KF0, 10 // K
-}
-{.mfi
- and GR_F_high= GR_MASK, GR_KF0 // f_high*32
- fms.s1 FR_R= f8, FR_LOG2_10, FR_KF // r*2^(-53)= [ x*log2(10)-
- // (K+f) ] *2^{10-63}
- and GR_F_low= GR_KF0, GR_MASK_low // f_low
-}
-;;
-
-{.mmi
- shladd GR_Flow_ADDR= GR_F_low, 3, GR_COEFF_START // address of 2^{f_low}
- add GR_BIAS= GR_K, GR_EXP_CORR // K= bias-2*63
- shr GR_Fh= GR_F_high, 5 // f_high
-}
-;;
-
-{.mfi
- setf.exp FR_2_TO_K= GR_BIAS // 2^{K-126}
- (p7) fcmp.lt.s1 p12, p7= f8, FR_UF_LIMIT // x<underflow threshold ?
- shladd GR_Fh_ADDR= GR_Fh, 3, GR_LOG_TBL // address of 2^{f_high}
-}
-{.mfi
- ldf8 FR_T_low= [ GR_Flow_ADDR ] // load T_low= 2^{f_low}
- nop.f 0
- nop.i 0
-}
-;;
-
-{.mfb
- ldf8 FR_T_high= [ GR_Fh_ADDR ] // load T_high= 2^{f_high}
- fcmp.ge.s1 p11, p0= f8, FR_SNORM_LIMIT // Test x for normal range
- (p12) br.cond.spnt OUT_RANGE_exp10
-}
-;;
-
-{.mfi
- nop.m 0
- fma.s1 FR_P12= FR_COEFF2, FR_R, FR_COEFF1 // P12= C_1+C_2*r
- cmp.eq p7,p9= r0,r0 // Assume inexact result
-}
-;;
-
-{.mfi
- nop.m 0
- (p8) fcmp.eq.s1 p9,p7= FR_int_x, f8 // Test x positive integer
- nop.i 0
-}
-{.mfi
- nop.m 0
- fma.s1 FR_T_low_K= FR_T_low, FR_2_TO_K, f0 // T= 2^{K-126}*T_low
- nop.i 0
-}
-;;
-
-{.mfi
- nop.m 0
- fma.s1 FR_P= FR_P12, FR_R, f0 // P= P12*r
- nop.i 0
-}
-;;
-
-// If x a positive integer, will it produce an exact result?
-// p7 result will be inexact
-// p9 result will be exact
-{.mfi
- nop.m 0
- (p9) fcmp.le.s1 p9,p7= f8, FR_exact_limit // Test x gives exact result
- nop.i 0
-}
-{.mfi
- nop.m 0
- fma.s1 FR_T= FR_T_low_K, FR_T_high, f0 // T= T*T_high
- nop.i 0
-}
-;;
-
-.pred.rel "mutex",p7,p9
-{.mfi
- nop.m 0
- (p7) fma.s.s0 f8= FR_P, FR_T, FR_T // result= T+T*P, inexact set
- nop.i 0
-}
-{.mfb
- nop.m 0
- (p9) fma.s.s1 f8= FR_P, FR_T, FR_T // result= T+T*P, exact use s1
- (p11) br.ret.sptk b0 // return, if result normal
-}
-;;
-
-// Here if result in denormal range (and not zero)
-{.mib
- nop.m 0
- mov GR_Parameter_TAG= 266
- br.cond.sptk __libm_error_region // Branch to error handling
-}
-;;
-
-SPECIAL_exp10:
-{.mfi
- nop.m 0
- fclass.m p6, p0= f8, 0x22 // x= -Infinity ?
- nop.i 0
-}
-;;
-
-{.mfi
- nop.m 0
- fclass.m p7, p0= f8, 0x21 // x= +Infinity ?
- nop.i 0
-}
-;;
-
-{.mfi
- nop.m 0
- fclass.m p8, p0= f8, 0x7 // x= +/-Zero ?
- nop.i 0
-}
-{.mfb
- nop.m 0
- (p6) mov f8= f0 // exp10(-Infinity)= 0
- (p6) br.ret.spnt b0
-}
-;;
-
-{.mfb
- nop.m 0
- nop.f 0
- (p7) br.ret.spnt b0 // exp10(+Infinity)= +Infinity
-}
-;;
-
-{.mfb
- nop.m 0
- (p8) mov f8= f1 // exp10(+/-0)= 1
- (p8) br.ret.spnt b0
-}
-;;
-
-{.mfb
- nop.m 0
- fma.s.s0 f8= f8, f1, f0 // Remaining cases: NaNs
- br.ret.sptk b0
-}
-;;
-
-
-OUT_RANGE_exp10:
-
-// underflow: p6= 1
-// overflow: p8= 1
-
-.pred.rel "mutex",p6,p8
-{.mmi
- (p8) mov GR_EXPMAX= 0x1fffe
- (p6) mov GR_EXPMAX= 1
- nop.i 0
-}
-;;
-
-{.mii
- setf.exp FR_R= GR_EXPMAX
- (p8) mov GR_Parameter_TAG= 167
- (p6) mov GR_Parameter_TAG= 266
-}
-;;
-
-{.mfb
- nop.m 0
- fma.s.s0 f8= FR_R, FR_R, f0 // Create overflow/underflow
- br.cond.sptk __libm_error_region // Branch to error handling
-}
-;;
-
-GLOBAL_IEEE754_END(__exp10f)
-libm_alias_float_other (__exp10, exp10)
-#if SHLIB_COMPAT (libm, GLIBC_2_1, GLIBC_2_27)
-strong_alias (__exp10f, __pow10f_compat)
-compat_symbol (libm, __pow10f_compat, pow10f, GLIBC_2_2)
-#endif
-#if SHLIB_COMPAT (libm, GLIBC_2_1, GLIBC_2_32)
-strong_alias (__exp10f, __exp10f_compat)
-compat_symbol (libm, __exp10f_compat, exp10f, GLIBC_2_1)
-#endif
-versioned_symbol (libm, __exp10f, exp10f, GLIBC_2_32)
-
-
-LOCAL_LIBM_ENTRY(__libm_error_region)
-
-.prologue
-{.mfi
- add GR_Parameter_Y= -32, sp // Parameter 2 value
- nop.f 0
-.save ar.pfs, GR_SAVE_PFS
- mov GR_SAVE_PFS= ar.pfs // Save ar.pfs
-}
-
-{.mfi
-.fframe 64
- add sp= -64, sp // Create new stack
- nop.f 0
- mov GR_SAVE_GP= gp // Save gp
-}
-;;
-
-{.mmi
- stfs [ GR_Parameter_Y ]= FR_Y, 16 // STORE Parameter 2 on stack
- add GR_Parameter_X= 16, sp // Parameter 1 address
-.save b0, GR_SAVE_B0
- mov GR_SAVE_B0= b0 // Save b0
-}
-;;
-
-.body
-{.mib
- stfs [ GR_Parameter_X ]= FR_X // STORE Parameter 1 on stack
- add GR_Parameter_RESULT= 0, GR_Parameter_Y // Parameter 3 address
- nop.b 0
-}
-{.mib
- stfs [ GR_Parameter_Y ]= FR_RESULT // STORE Parameter 3 on stack
- add GR_Parameter_Y= -16, GR_Parameter_Y
- br.call.sptk b0= __libm_error_support# // Call error handling function
-}
-;;
-
-{.mmi
- add GR_Parameter_RESULT= 48, sp
- nop.m 0
- nop.i 0
-}
-;;
-
-{.mmi
- ldfs f8= [ GR_Parameter_RESULT ] // Get return result off stack
-.restore sp
- add sp= 64, sp // Restore stack pointer
- mov b0= GR_SAVE_B0 // Restore return address
-}
-;;
-
-{.mib
- mov gp= GR_SAVE_GP // Restore gp
- mov ar.pfs= GR_SAVE_PFS // Restore ar.pfs
- br.ret.sptk b0 // Return
-}
-;;
-
-
-LOCAL_LIBM_END(__libm_error_region)
-
-.type __libm_error_support#, @function
-.global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/e_exp2f_data.c b/sysdeps/ia64/fpu/e_exp2f_data.c
deleted file mode 100644
index 1cc8931700..0000000000
--- a/sysdeps/ia64/fpu/e_exp2f_data.c
+++ /dev/null
@@ -1 +0,0 @@
-/* Not needed. */
diff --git a/sysdeps/ia64/fpu/libm-test-ulps b/sysdeps/ia64/fpu/libm-test-ulps
index d0cab46c3b..249dd9e7e5 100644
--- a/sysdeps/ia64/fpu/libm-test-ulps
+++ b/sysdeps/ia64/fpu/libm-test-ulps
@@ -1057,12 +1057,15 @@ float: 1
float128: 2
Function: "exp10_downward":
+float: 1
float128: 3
Function: "exp10_towardzero":
+float: 1
float128: 3
Function: "exp10_upward":
+float: 1
float128: 3
Function: "exp2":
diff --git a/sysdeps/ia64/fpu/math_errf.c b/sysdeps/ia64/fpu/math_errf.c
deleted file mode 100644
index 1cc8931700..0000000000
--- a/sysdeps/ia64/fpu/math_errf.c
+++ /dev/null
@@ -1 +0,0 @@
-/* Not needed. */
diff --git a/sysdeps/ia64/fpu/w_exp10f.c b/sysdeps/ia64/fpu/w_exp10f.c
deleted file mode 100644
index 1cc8931700..0000000000
--- a/sysdeps/ia64/fpu/w_exp10f.c
+++ /dev/null
@@ -1 +0,0 @@
-/* Not needed. */
diff --git a/sysdeps/ia64/fpu/w_exp10f_compat.c b/sysdeps/ia64/fpu/w_exp10f_compat.c
deleted file mode 100644
index 41254ae60a..0000000000
--- a/sysdeps/ia64/fpu/w_exp10f_compat.c
+++ /dev/null
@@ -1 +0,0 @@
-/* Not needed. */
--
2.17.1
^ permalink raw reply [flat|nested] 21+ messages in thread
* Re: [PATCH 5/5] ia64: Use generic exp10f
2020-04-09 19:59 ` [PATCH 5/5] ia64: Use generic exp10f Adhemerval Zanella
@ 2020-04-09 21:18 ` Joseph Myers
2020-04-16 20:52 ` Adhemerval Zanella
2020-04-29 17:11 ` Adhemerval Zanella
1 sibling, 1 reply; 21+ messages in thread
From: Joseph Myers @ 2020-04-09 21:18 UTC (permalink / raw)
To: Adhemerval Zanella; +Cc: libc-alpha
For most ia64 functions there would be the issue that the existing ia64
libm interface uses matherrf and matherrl in addition to matherr for SVID
error handling, so replacing an existing float implementation with an
architecture-independent one would break the ABI for code using those
functions. However, it looks like there is no such error handling support
for exp10f in ia64 libm, so maybe that isn't an issue; any existing
programs expecting SVID error handling and using exp10f would already fail
to function correctly.
--
Joseph S. Myers
joseph@codesourcery.com
^ permalink raw reply [flat|nested] 21+ messages in thread
* Re: [PATCH 2/5] math: Optimized generic exp10f with wrappers
2020-04-09 19:59 ` [PATCH 2/5] math: Optimized generic exp10f with wrappers Adhemerval Zanella
@ 2020-04-10 6:32 ` paul zimmermann
2020-04-16 20:42 ` Adhemerval Zanella
2020-04-29 17:11 ` Adhemerval Zanella
1 sibling, 1 reply; 21+ messages in thread
From: paul zimmermann @ 2020-04-10 6:32 UTC (permalink / raw)
To: Adhemerval Zanella; +Cc: libc-alpha
Dear Adhemerval,
> Result for x86_64 (i7-4790K CPU @ 4.00GHz) are:
>
> Before new code:
> "exp10f": {
> "": {
> "duration": 1.00923e+09,
> "iterations": 5.4832e+07,
> "max": 249.361,
> "min": 12.5,
> "mean": 18.4059
> }
>
> With new code:
> "exp10f": {
> "": {
> "duration": 9.7639e+08,
> "iterations": 8.1056e+07,
> "max": 563.323,
> "min": 11.54,
> "mean": 12.0459
> }
>
> Result for aarch64 (A72 @ 2GHz) are:
>
> Before new code:
> "exp10f": {
> "": {
> "duration": 1.00923e+09,
> "iterations": 5.4832e+07,
> "max": 249.361,
> "min": 12.5,
> "mean": 18.4059
> }
>
> With new code:
> "exp10f": {
> "": {
> "duration": 9.7639e+08,
> "iterations": 8.1056e+07,
> "max": 563.323,
> "min": 11.54,
> "mean": 12.0459
> }
the timings for x86_64 and aarch64 are identical.
A copy/paste error?
Paul
^ permalink raw reply [flat|nested] 21+ messages in thread
* Re: [PATCH 1/5] benchtests: Add exp10f benchmark
2020-04-09 19:59 [PATCH 1/5] benchtests: Add exp10f benchmark Adhemerval Zanella
` (3 preceding siblings ...)
2020-04-09 19:59 ` [PATCH 5/5] ia64: Use generic exp10f Adhemerval Zanella
@ 2020-04-16 20:41 ` Adhemerval Zanella
2020-04-29 17:11 ` Adhemerval Zanella
4 siblings, 1 reply; 21+ messages in thread
From: Adhemerval Zanella @ 2020-04-16 20:41 UTC (permalink / raw)
To: libc-alpha; +Cc: Paul Zimmermann, Wilco Dijkstra
On 09/04/2020 16:59, Adhemerval Zanella wrote:
> From: Paul Zimmermann <Paul.Zimmermann@inria.fr>
>
> It is based on converting the expf one and removing the
> workload-spec2017.wrf line.
Updated patch based on previous comments.
--
It is based on expf one by converting each line with the formula:
new_val = (float) log10 (exp ((double) old_val))
---
benchtests/Makefile | 3 +-
benchtests/exp10f-inputs | 2388 ++++++++++++++++++++++++++++++++++++++
2 files changed, 2390 insertions(+), 1 deletion(-)
create mode 100644 benchtests/exp10f-inputs
diff --git a/benchtests/Makefile b/benchtests/Makefile
index 335d643ecb..a9d71f2c44 100644
--- a/benchtests/Makefile
+++ b/benchtests/Makefile
@@ -24,7 +24,8 @@ include ../Makeconfig
bench-math := acos acosh asin asinh atan atanh cos cosh exp exp2 log log2 \
modf pow rint sin sincos sinh sqrt tan tanh fmin fmax fminf \
fmaxf powf trunc truncf roundeven roundevenf expf exp2f logf \
- log2f sincosf sinf cosf isnan isinf isfinite hypot logb logbf
+ log2f sincosf sinf cosf isnan isinf isfinite hypot logb logbf \
+ exp10f
bench-pthread := pthread_once thread_create
diff --git a/benchtests/exp10f-inputs b/benchtests/exp10f-inputs
new file mode 100644
index 0000000000..302af485eb
--- /dev/null
+++ b/benchtests/exp10f-inputs
@@ -0,0 +1,2388 @@
+## args: float
+## ret: float
+## includes: math.h
+## name: workload-spec2017.wrf (adapted)
+0x0p+0
+-0x1.cca64ap+0
+-0x1.570ef6p-2
+0x1.1aa2d2p+2
+0x1.0f756cp+2
+0x1.0f4c5p+2
+-0x1.4e5cbap-1
+-0x1.10efc8p+0
+-0x1.ca213p-2
+0x1.12c966p+2
+0x1.acffep+1
+-0x1.8118a2p-3
+-0x1.d5e3a2p+3
+-0x1.480aep+3
+0x1.f608d6p+1
+-0x1.32fc0cp+2
+-0x1.4b229ap-1
+0x1.d0b80ep-2
+0x1.19a5b6p+2
+0x1.a42b5ep+1
+0x1.1a21dep+2
+0x1.92e89p+1
+-0x1.7b9ac4p+0
+0x1.66ce46p+0
+0x1.5f4bbcp+1
+0x1.668d4ap-1
+-0x1.a295e4p-1
+-0x1.1bdf4cp-4
+0x1.5d9048p-3
+-0x1.97a6e8p+0
+0x1.5d5c2cp-1
+0x1.3b3926p+1
+0x1.5df8b6p-2
+-0x1.701c4ep+1
+-0x1.831428p+1
+-0x1.091166p+0
+0x1.7bb7dep+0
+-0x1.71320ap+1
+-0x1.000146p+1
+-0x1.31ed22p-4
+-0x1.4b926ap+2
+-0x1.429b84p-2
+-0x1.447decp+1
+-0x1.9c76f6p-2
+0x1.7a8d26p+1
+-0x1.abdd4cp+0
+-0x1.de3accp-2
+0x1.8a5286p+0
+0x1.fda316p-5
+-0x1.06p+5
+-0x1.4be122p-1
+0x1.9bac1ap+1
+-0x1.44cfb2p+1
+0x1.14b2d2p+2
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^ permalink raw reply [flat|nested] 21+ messages in thread
* Re: [PATCH 2/5] math: Optimized generic exp10f with wrappers
2020-04-10 6:32 ` paul zimmermann
@ 2020-04-16 20:42 ` Adhemerval Zanella
0 siblings, 0 replies; 21+ messages in thread
From: Adhemerval Zanella @ 2020-04-16 20:42 UTC (permalink / raw)
To: paul zimmermann; +Cc: libc-alpha
On 10/04/2020 03:32, paul zimmermann wrote:
> Dear Adhemerval,
>
>> Result for x86_64 (i7-4790K CPU @ 4.00GHz) are:
>>
>> Before new code:
>> "exp10f": {
>> "": {
>> "duration": 1.00923e+09,
>> "iterations": 5.4832e+07,
>> "max": 249.361,
>> "min": 12.5,
>> "mean": 18.4059
>> }
>>
>> With new code:
>> "exp10f": {
>> "": {
>> "duration": 9.7639e+08,
>> "iterations": 8.1056e+07,
>> "max": 563.323,
>> "min": 11.54,
>> "mean": 12.0459
>> }
>>
>> Result for aarch64 (A72 @ 2GHz) are:
>>
>> Before new code:
>> "exp10f": {
>> "": {
>> "duration": 1.00923e+09,
>> "iterations": 5.4832e+07,
>> "max": 249.361,
>> "min": 12.5,
>> "mean": 18.4059
>> }
>>
>> With new code:
>> "exp10f": {
>> "": {
>> "duration": 9.7639e+08,
>> "iterations": 8.1056e+07,
>> "max": 563.323,
>> "min": 11.54,
>> "mean": 12.0459
>> }
>
> the timings for x86_64 and aarch64 are identical.
> A copy/paste error?
>
Indeed, I have updated all timing based on new benchmark version as well.
The new results are:
Result for x86_64 (i7-4790K CPU @ 4.00GHz) are:
Before new code:
"exp10f": {
"workload-spec2017.wrf (adapted)": {
"duration": 4.0414e+09,
"iterations": 1.00128e+08,
"reciprocal-throughput": 26.6818,
"latency": 54.043,
"max-throughput": 3.74787e+07,
"min-throughput": 1.85038e+07
}
With new code:
"exp10f": {
"workload-spec2017.wrf (adapted)": {
"duration": 4.11951e+09,
"iterations": 1.23968e+08,
"reciprocal-throughput": 21.0581,
"latency": 45.4028,
"max-throughput": 4.74876e+07,
"min-throughput": 2.20251e+07
}
Result for aarch64 (A72 @ 2GHz) are:
Before new code:
"exp10f": {
"workload-spec2017.wrf (adapted)": {
"duration": 4.62362e+09,
"iterations": 3.3376e+07,
"reciprocal-throughput": 127.698,
"latency": 149.365,
"max-throughput": 7.831e+06,
"min-throughput": 6.69501e+06
}
With new code:
"exp10f": {
"workload-spec2017.wrf (adapted)": {
"duration": 4.29108e+09,
"iterations": 6.6752e+07,
"reciprocal-throughput": 51.2111,
"latency": 77.3568,
"max-throughput": 1.9527e+07,
"min-throughput": 1.29271e+07
}
^ permalink raw reply [flat|nested] 21+ messages in thread
* Re: [PATCH 5/5] ia64: Use generic exp10f
2020-04-09 21:18 ` Joseph Myers
@ 2020-04-16 20:52 ` Adhemerval Zanella
0 siblings, 0 replies; 21+ messages in thread
From: Adhemerval Zanella @ 2020-04-16 20:52 UTC (permalink / raw)
To: Joseph Myers; +Cc: libc-alpha
On 09/04/2020 18:18, Joseph Myers wrote:
> For most ia64 functions there would be the issue that the existing ia64
> libm interface uses matherrf and matherrl in addition to matherr for SVID
> error handling, so replacing an existing float implementation with an
> architecture-independent one would break the ABI for code using those
> functions. However, it looks like there is no such error handling support
> for exp10f in ia64 libm, so maybe that isn't an issue; any existing
> programs expecting SVID error handling and using exp10f would already fail
> to function correctly.
>
Indeed, I have the following note on the commit message:
The existing ia64 libm interface uses matherrf and matherrl in addition
to matherr for SVID error handling. However, there is no such error
handling support for exp10f in ia64 libm. So replacing it with the
generic implementation should be fine.
Regarding ia64 libm functions, I am seeing a lot of issues on math tests,
specially in non-default rounding modes. And I think it would be way simpler
to just replace them with the generic interface instead of fiddling with
ia64 assembly.
For the compat symbols, one possibility might to reimplement a ia64
sysdeps/ieee754/k_standard.c with the expected semantic (and replace
libm_error.c).
^ permalink raw reply [flat|nested] 21+ messages in thread
* Re: [PATCH 1/5] benchtests: Add exp10f benchmark
2020-04-16 20:41 ` [PATCH 1/5] benchtests: Add exp10f benchmark Adhemerval Zanella
@ 2020-04-29 17:11 ` Adhemerval Zanella
2020-05-20 20:18 ` Adhemerval Zanella
0 siblings, 1 reply; 21+ messages in thread
From: Adhemerval Zanella @ 2020-04-29 17:11 UTC (permalink / raw)
To: libc-alpha
Ping.
On 16/04/2020 17:41, Adhemerval Zanella wrote:
>
>
> On 09/04/2020 16:59, Adhemerval Zanella wrote:
>> From: Paul Zimmermann <Paul.Zimmermann@inria.fr>
>>
>> It is based on converting the expf one and removing the
>> workload-spec2017.wrf line.
> Updated patch based on previous comments.
>
> --
>
> It is based on expf one by converting each line with the formula:
>
> new_val = (float) log10 (exp ((double) old_val))
> ---
> benchtests/Makefile | 3 +-
> benchtests/exp10f-inputs | 2388 ++++++++++++++++++++++++++++++++++++++
> 2 files changed, 2390 insertions(+), 1 deletion(-)
> create mode 100644 benchtests/exp10f-inputs
>
> diff --git a/benchtests/Makefile b/benchtests/Makefile
> index 335d643ecb..a9d71f2c44 100644
> --- a/benchtests/Makefile
> +++ b/benchtests/Makefile
> @@ -24,7 +24,8 @@ include ../Makeconfig
> bench-math := acos acosh asin asinh atan atanh cos cosh exp exp2 log log2 \
> modf pow rint sin sincos sinh sqrt tan tanh fmin fmax fminf \
> fmaxf powf trunc truncf roundeven roundevenf expf exp2f logf \
> - log2f sincosf sinf cosf isnan isinf isfinite hypot logb logbf
> + log2f sincosf sinf cosf isnan isinf isfinite hypot logb logbf \
> + exp10f
>
> bench-pthread := pthread_once thread_create
>
> diff --git a/benchtests/exp10f-inputs b/benchtests/exp10f-inputs
> new file mode 100644
> index 0000000000..302af485eb
> --- /dev/null
> +++ b/benchtests/exp10f-inputs
> @@ -0,0 +1,2388 @@
> +## args: float
> +## ret: float
> +## includes: math.h
> +## name: workload-spec2017.wrf (adapted)
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>
^ permalink raw reply [flat|nested] 21+ messages in thread
* Re: [PATCH 2/5] math: Optimized generic exp10f with wrappers
2020-04-09 19:59 ` [PATCH 2/5] math: Optimized generic exp10f with wrappers Adhemerval Zanella
2020-04-10 6:32 ` paul zimmermann
@ 2020-04-29 17:11 ` Adhemerval Zanella
2020-05-20 20:18 ` Adhemerval Zanella
1 sibling, 1 reply; 21+ messages in thread
From: Adhemerval Zanella @ 2020-04-29 17:11 UTC (permalink / raw)
To: libc-alpha
Ping.
On 09/04/2020 16:59, Adhemerval Zanella wrote:
> From: Paul Zimmermann <Paul.Zimmermann@inria.fr>
>
> It is inspired by expf and reuses its tables and internal functions.
> The error checks are inlined and errno setting is in separate tail
> called functions, but the wrappers are kept in this patch to handle
> the _LIB_VERSION==_SVID_ case.
>
> Double precision arithmetics is used which is expected to be faster on
> most targets (including soft-float) than using single precision and it
> is easier to get good precision result with it.
>
> Result for x86_64 (i7-4790K CPU @ 4.00GHz) are:
>
> Before new code:
> "exp10f": {
> "": {
> "duration": 1.00923e+09,
> "iterations": 5.4832e+07,
> "max": 249.361,
> "min": 12.5,
> "mean": 18.4059
> }
>
> With new code:
> "exp10f": {
> "": {
> "duration": 9.7639e+08,
> "iterations": 8.1056e+07,
> "max": 563.323,
> "min": 11.54,
> "mean": 12.0459
> }
>
> Result for aarch64 (A72 @ 2GHz) are:
>
> Before new code:
> "exp10f": {
> "": {
> "duration": 1.00923e+09,
> "iterations": 5.4832e+07,
> "max": 249.361,
> "min": 12.5,
> "mean": 18.4059
> }
>
> With new code:
> "exp10f": {
> "": {
> "duration": 9.7639e+08,
> "iterations": 8.1056e+07,
> "max": 563.323,
> "min": 11.54,
> "mean": 12.0459
> }
>
> Checked on x86_64-linux-gnu, powerpc64le-linux-gnu, aarch64-linux-gnu,
> and sparc64-linux-gnu.
> ---
> math/e_exp10f.c | 32 -----
> sysdeps/ieee754/flt-32/e_exp10f.c | 198 +++++++++++++++++++++++++++
> sysdeps/ieee754/flt-32/math_config.h | 2 +-
> 3 files changed, 199 insertions(+), 33 deletions(-)
> delete mode 100644 math/e_exp10f.c
> create mode 100644 sysdeps/ieee754/flt-32/e_exp10f.c
>
> diff --git a/math/e_exp10f.c b/math/e_exp10f.c
> deleted file mode 100644
> index 93c41d00a6..0000000000
> --- a/math/e_exp10f.c
> +++ /dev/null
> @@ -1,32 +0,0 @@
> -/* Copyright (C) 1998-2020 Free Software Foundation, Inc.
> - This file is part of the GNU C Library.
> - Contributed by Ulrich Drepper <drepper@cygnus.com>, 1998.
> -
> - The GNU C Library is free software; you can redistribute it and/or
> - modify it under the terms of the GNU Lesser General Public
> - License as published by the Free Software Foundation; either
> - version 2.1 of the License, or (at your option) any later version.
> -
> - The GNU C Library is distributed in the hope that it will be useful,
> - but WITHOUT ANY WARRANTY; without even the implied warranty of
> - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
> - Lesser General Public License for more details.
> -
> - You should have received a copy of the GNU Lesser General Public
> - License along with the GNU C Library; if not, see
> - <https://www.gnu.org/licenses/>. */
> -
> -#include <math.h>
> -#include <math_private.h>
> -#include <libm-alias-finite.h>
> -
> -float
> -__ieee754_exp10f (float arg)
> -{
> - /* The argument to exp needs to be calculated in enough precision
> - that the fractional part has as much precision as float, in
> - addition to the bits in the integer part; using double ensures
> - this. */
> - return __ieee754_exp (M_LN10 * arg);
> -}
> -libm_alias_finite (__ieee754_exp10f, __exp10f)
> diff --git a/sysdeps/ieee754/flt-32/e_exp10f.c b/sysdeps/ieee754/flt-32/e_exp10f.c
> new file mode 100644
> index 0000000000..034a9e364a
> --- /dev/null
> +++ b/sysdeps/ieee754/flt-32/e_exp10f.c
> @@ -0,0 +1,198 @@
> +/* Single-precision 10^x function.
> + Copyright (C) 2020 Free Software Foundation, Inc.
> + This file is part of the GNU C Library.
> +
> + The GNU C Library is free software; you can redistribute it and/or
> + modify it under the terms of the GNU Lesser General Public
> + License as published by the Free Software Foundation; either
> + version 2.1 of the License, or (at your option) any later version.
> +
> + The GNU C Library is distributed in the hope that it will be useful,
> + but WITHOUT ANY WARRANTY; without even the implied warranty of
> + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
> + Lesser General Public License for more details.
> +
> + You should have received a copy of the GNU Lesser General Public
> + License along with the GNU C Library; if not, see
> + <https://www.gnu.org/licenses/>. */
> +
> +#include <math.h>
> +#include <math-narrow-eval.h>
> +#include <stdint.h>
> +#include <libm-alias-finite.h>
> +#include <libm-alias-float.h>
> +#include "math_config.h"
> +
> +/*
> + EXP2F_TABLE_BITS 5
> + EXP2F_POLY_ORDER 3
> +
> + Max. ULP error: 0.502 (normal range, nearest rounding).
> + Max. relative error: 2^-33.240 (before rounding to float).
> + Wrong count: 169839.
> + Non-nearest ULP error: 1 (rounded ULP error).
> +
> + Detailed error analysis (for EXP2F_TABLE_BITS=3 thus N=32):
> +
> + - We first compute z = RN(InvLn10N * x) where
> +
> + InvLn10N = N*log(10)/log(2) * (1 + theta1) with |theta1| < 2^-54.150
> +
> + since z is rounded to nearest:
> +
> + z = InvLn10N * x * (1 + theta2) with |theta2| < 2^-53
> +
> + thus z = N*log(10)/log(2) * x * (1 + theta3) with |theta3| < 2^-52.463
> +
> + - Since |x| < 38 in the main branch, we deduce:
> +
> + z = N*log(10)/log(2) * x + theta4 with |theta4| < 2^-40.483
> +
> + - We then write z = k + r where k is an integer and |r| <= 0.5 (exact)
> +
> + - We thus have
> +
> + x = z*log(2)/(N*log(10)) - theta4*log(2)/(N*log(10))
> + = z*log(2)/(N*log(10)) + theta5 with |theta5| < 2^-47.215
> +
> + 10^x = 2^(k/N) * 2^(r/N) * 10^theta5
> + = 2^(k/N) * 2^(r/N) * (1 + theta6) with |theta6| < 2^-46.011
> +
> + - Then 2^(k/N) is approximated by table lookup, the maximal relative error
> + is for (k%N) = 5, with
> +
> + s = 2^(i/N) * (1 + theta7) with |theta7| < 2^-53.249
> +
> + - 2^(r/N) is approximated by a degree-3 polynomial, where the maximal
> + mathematical relative error is 2^-33.243.
> +
> + - For C[0] * r + C[1], assuming no FMA is used, since |r| <= 0.5 and
> + |C[0]| < 1.694e-6, |C[0] * r| < 8.47e-7, and the absolute error on
> + C[0] * r is bounded by 1/2*ulp(8.47e-7) = 2^-74. Then we add C[1] with
> + |C[1]| < 0.000235, thus the absolute error on C[0] * r + C[1] is bounded
> + by 2^-65.994 (z is bounded by 0.000236).
> +
> + - For r2 = r * r, since |r| <= 0.5, we have |r2| <= 0.25 and the absolute
> + error is bounded by 1/4*ulp(0.25) = 2^-56 (the factor 1/4 is because |r2|
> + cannot exceed 1/4, and on the left of 1/4 the distance between two
> + consecutive numbers is 1/4*ulp(1/4)).
> +
> + - For y = C[2] * r + 1, assuming no FMA is used, since |r| <= 0.5 and
> + |C[2]| < 0.0217, the absolute error on C[2] * r is bounded by 2^-60,
> + and thus the absolute error on C[2] * r + 1 is bounded by 1/2*ulp(1)+2^60
> + < 2^-52.988, and |y| < 1.01085 (the error bound is better if a FMA is
> + used).
> +
> + - for z * r2 + y: the absolute error on z is bounded by 2^-65.994, with
> + |z| < 0.000236, and the absolute error on r2 is bounded by 2^-56, with
> + r2 < 0.25, thus |z*r2| < 0.000059, and the absolute error on z * r2
> + (including the rounding error) is bounded by:
> +
> + 2^-65.994 * 0.25 + 0.000236 * 2^-56 + 1/2*ulp(0.000059) < 2^-66.429.
> +
> + Now we add y, with |y| < 1.01085, and error on y bounded by 2^-52.988,
> + thus the absolute error is bounded by:
> +
> + 2^-66.429 + 2^-52.988 + 1/2*ulp(1.01085) < 2^-51.993
> +
> + - Now we convert the error on y into relative error. Recall that y
> + approximates 2^(r/N), for |r| <= 0.5 and N=32. Thus 2^(-0.5/32) <= y,
> + and the relative error on y is bounded by
> +
> + 2^-51.993/2^(-0.5/32) < 2^-51.977
> +
> + - Taking into account the mathematical relative error of 2^-33.243 we have:
> +
> + y = 2^(r/N) * (1 + theta8) with |theta8| < 2^-33.242
> +
> + - Since we had s = 2^(k/N) * (1 + theta7) with |theta7| < 2^-53.249,
> + after y = y * s we get y = 2^(k/N) * 2^(r/N) * (1 + theta9)
> + with |theta9| < 2^-33.241
> +
> + - Finally, taking into account the error theta6 due to the rounding error on
> + InvLn10N, and when multiplying InvLn10N * x, we get:
> +
> + y = 10^x * (1 + theta10) with |theta10| < 2^-33.240
> +
> + - Converting into binary64 ulps, since y < 2^53*ulp(y), the error is at most
> + 2^19.76 ulp(y)
> +
> + - If the result is a binary32 value in the normal range (i.e., >= 2^-126),
> + then the error is at most 2^-9.24 ulps, i.e., less than 0.00166 (in the
> + subnormal range, the error in ulps might be larger).
> +
> + Note that this bound is tight, since for x=-0x25.54ac0p0 the final value of
> + y (before conversion to float) differs from 879853 ulps from the correctly
> + rounded value, and 879853 ~ 2^19.7469. */
> +
> +#define N (1 << EXP2F_TABLE_BITS)
> +
> +#define InvLn10N (0x3.5269e12f346e2p0 * N) /* log(10)/log(2) to nearest */
> +#define T __exp2f_data.tab
> +#define C __exp2f_data.poly_scaled
> +#define SHIFT __exp2f_data.shift
> +
> +static inline uint32_t
> +top13 (float x)
> +{
> + return asuint (x) >> 19;
> +}
> +
> +float
> +__ieee754_exp10f (float x)
> +{
> + uint32_t abstop;
> + uint64_t ki, t;
> + double kd, xd, z, r, r2, y, s;
> +
> + xd = (double) x;
> + abstop = top13 (x) & 0xfff; /* Ignore sign. */
> + if (__glibc_unlikely (abstop >= top13 (38.0f)))
> + {
> + /* |x| >= 38 or x is nan. */
> + if (asuint (x) == asuint (-INFINITY))
> + return 0.0f;
> + if (abstop >= top13 (INFINITY))
> + return x + x;
> + /* 0x26.8826ap0 is the largest value such that 10^x < 2^128. */
> + if (x > 0x26.8826ap0f)
> + return __math_oflowf (0);
> + /* -0x2d.278d4p0 is the smallest value such that 10^x > 2^-150. */
> + if (x < -0x2d.278d4p0f)
> + return __math_uflowf (0);
> +#if WANT_ERRNO_UFLOW
> + if (x < -0x2c.da7cfp0)
> + return __math_may_uflowf (0);
> +#endif
> + /* the smallest value such that 10^x >= 2^-126 (normal range)
> + is x = -0x25.ee060p0 */
> + /* we go through here for 2014929 values out of 2060451840
> + (not counting NaN and infinities, i.e., about 0.1% */
> + }
> +
> + /* x*N*Ln10/Ln2 = k + r with r in [-1/2, 1/2] and int k. */
> + z = InvLn10N * xd;
> + /* |xd| < 38 thus |z| < 1216 */
> +#if TOINT_INTRINSICS
> + kd = roundtoint (z);
> + ki = converttoint (z);
> +#else
> +# define SHIFT __exp2f_data.shift
> + kd = math_narrow_eval ((double) (z + SHIFT)); /* Needs to be double. */
> + ki = asuint64 (kd);
> + kd -= SHIFT;
> +#endif
> + r = z - kd;
> +
> + /* 10^x = 10^(k/N) * 10^(r/N) ~= s * (C0*r^3 + C1*r^2 + C2*r + 1) */
> + t = T[ki % N];
> + t += ki << (52 - EXP2F_TABLE_BITS);
> + s = asdouble (t);
> + z = C[0] * r + C[1];
> + r2 = r * r;
> + y = C[2] * r + 1;
> + y = z * r2 + y;
> + y = y * s;
> + return (float) y;
> +}
> +libm_alias_finite (__ieee754_exp10f, __exp10f)
> diff --git a/sysdeps/ieee754/flt-32/math_config.h b/sysdeps/ieee754/flt-32/math_config.h
> index bf79274ce7..4817e500e1 100644
> --- a/sysdeps/ieee754/flt-32/math_config.h
> +++ b/sysdeps/ieee754/flt-32/math_config.h
> @@ -109,7 +109,7 @@ attribute_hidden float __math_may_uflowf (uint32_t);
> attribute_hidden float __math_divzerof (uint32_t);
> attribute_hidden float __math_invalidf (float);
>
> -/* Shared between expf, exp2f and powf. */
> +/* Shared between expf, exp2f, exp10f, and powf. */
> #define EXP2F_TABLE_BITS 5
> #define EXP2F_POLY_ORDER 3
> extern const struct exp2f_data
>
^ permalink raw reply [flat|nested] 21+ messages in thread
* Re: [PATCH 3/5] i386: Use generic exp10f
2020-04-09 19:59 ` [PATCH 3/5] i386: Use generic exp10f Adhemerval Zanella
@ 2020-04-29 17:11 ` Adhemerval Zanella
2020-05-20 20:19 ` Adhemerval Zanella
0 siblings, 1 reply; 21+ messages in thread
From: Adhemerval Zanella @ 2020-04-29 17:11 UTC (permalink / raw)
To: libc-alpha
Ping.
On 09/04/2020 16:59, Adhemerval Zanella wrote:
> The generic implementation is twice as fast. Using the exp10f
> benchmark:
>
> * master:
> "exp10f": {
> "": {
> "duration": 4.25753e+09,
> "iterations": 3.3376e+07,
> "max": 1414.77,
> "min": 103.649,
> "mean": 127.563
> }
> }
>
> * patched:
> "exp10f": {
> "": {
> "duration": 4.05755e+09,
> "iterations": 6.9136e+07,
> "max": 1489.64,
> "min": 50.95,
> "mean": 58.6894
> }
> }
>
> Checked on i686-linux-gnu.
> ---
> sysdeps/i386/fpu/e_exp10f.S | 54 -------------------------------------
> 1 file changed, 54 deletions(-)
> delete mode 100644 sysdeps/i386/fpu/e_exp10f.S
>
> diff --git a/sysdeps/i386/fpu/e_exp10f.S b/sysdeps/i386/fpu/e_exp10f.S
> deleted file mode 100644
> index 196ce8744a..0000000000
> --- a/sysdeps/i386/fpu/e_exp10f.S
> +++ /dev/null
> @@ -1,54 +0,0 @@
> -/*
> - * Written by Ulrich Drepper.
> - */
> -
> -#include <machine/asm.h>
> -#include <i386-math-asm.h>
> -#include <libm-alias-finite.h>
> -
> -DEFINE_FLT_MIN
> -
> -#ifdef PIC
> -# define MO(op) op##@GOTOFF(%ecx)
> -#else
> -# define MO(op) op
> -#endif
> -
> - .text
> -/* 10^x = 2^(x * log2(10)) */
> -ENTRY(__ieee754_exp10f)
> -#ifdef PIC
> - LOAD_PIC_REG (cx)
> -#endif
> - flds 4(%esp)
> -/* I added the following ugly construct because exp(+-Inf) resulted
> - in NaN. The ugliness results from the bright minds at Intel.
> - For the i686 the code can be written better.
> - -- drepper@cygnus.com. */
> - fxam /* Is NaN or +-Inf? */
> - fstsw %ax
> - movb $0x45, %dh
> - andb %ah, %dh
> - cmpb $0x05, %dh
> - je 1f /* Is +-Inf, jump. */
> - fldl2t
> - fmulp /* x * log2(10) */
> - fld %st
> - frndint /* int(x * log2(10)) */
> - fsubr %st,%st(1) /* fract(x * log2(10)) */
> - fxch
> - f2xm1 /* 2^(fract(x * log2(10))) - 1 */
> - fld1
> - faddp /* 2^(fract(x * log2(10))) */
> - fscale /* e^x */
> - fstp %st(1)
> - FLT_NARROW_EVAL_UFLOW_NONNEG_NAN
> - ret
> -
> -1: testl $0x200, %eax /* Test sign. */
> - jz 2f /* If positive, jump. */
> - fstp %st
> - fldz /* Set result to 0. */
> -2: ret
> -END (__ieee754_exp10f)
> -libm_alias_finite (__ieee754_exp10f, __exp10f)
>
^ permalink raw reply [flat|nested] 21+ messages in thread
* Re: [PATCH 4/5] New exp10f version without SVID compat wrapper
2020-04-09 19:59 ` [PATCH 4/5] New exp10f version without SVID compat wrapper Adhemerval Zanella
@ 2020-04-29 17:11 ` Adhemerval Zanella
2020-05-20 20:19 ` Adhemerval Zanella
0 siblings, 1 reply; 21+ messages in thread
From: Adhemerval Zanella @ 2020-04-29 17:11 UTC (permalink / raw)
To: libc-alpha
Ping.
On 09/04/2020 16:59, Adhemerval Zanella wrote:
> This patch changes the exp10f error handling semantics to only set
> errno according to POSIX rules. New symbol version is introduced at
> GLIBC_2.32. The old wrappers are kept for compat symbols.
>
> There are some outliers that need special handling:
>
> - ia64 provides an optimized implementation of exp10f that uses ia64
> specific routines to set SVID compatibility. The new symbol version
> is aliased to the exp10f one.
>
> - m68k also provides an optimized implementation, and the new version
> uses it instead of the sysdeps/ieee754/flt32 one.
>
> - riscv and csky uses the generic template implementation that
> does not provide SVID support. For both cases a new exp10f
> version is not added, but rather the symbols version of the
> generic sysdeps/ieee754/flt32 is adjusted instead.
>
> Checked on aarch64-linux-gnu, x86_64-linux-gnu, i686-linux-gnu,
> powerpc64le-linux-gnu.
> ---
> math/Versions | 3 +++
> math/w_exp10f.c | 1 +
> math/w_exp10f_compat.c | 8 ++++----
> sysdeps/ia64/fpu/e_exp10f.S | 12 +++++++++---
> sysdeps/ieee754/flt-32/e_exp10f.c | 16 +++++++++++++++-
> sysdeps/m68k/m680x0/fpu/e_exp10f.c | 5 +++++
> sysdeps/mach/hurd/i386/libm.abilist | 1 +
> sysdeps/unix/sysv/linux/aarch64/libm.abilist | 1 +
> sysdeps/unix/sysv/linux/alpha/libm.abilist | 1 +
> sysdeps/unix/sysv/linux/arm/be/libm.abilist | 1 +
> sysdeps/unix/sysv/linux/arm/le/libm.abilist | 1 +
> sysdeps/unix/sysv/linux/hppa/libm.abilist | 1 +
> sysdeps/unix/sysv/linux/i386/libm.abilist | 1 +
> sysdeps/unix/sysv/linux/ia64/libm.abilist | 1 +
> .../unix/sysv/linux/m68k/coldfire/libm.abilist | 1 +
> sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist | 1 +
> .../unix/sysv/linux/microblaze/be/libm.abilist | 1 +
> .../unix/sysv/linux/microblaze/le/libm.abilist | 1 +
> sysdeps/unix/sysv/linux/mips/mips32/libm.abilist | 1 +
> sysdeps/unix/sysv/linux/mips/mips64/libm.abilist | 1 +
> sysdeps/unix/sysv/linux/nios2/libm.abilist | 1 +
> .../linux/powerpc/powerpc32/fpu/libm.abilist | 1 +
> .../sysv/linux/powerpc/powerpc64/be/libm.abilist | 1 +
> .../sysv/linux/powerpc/powerpc64/le/libm.abilist | 1 +
> .../unix/sysv/linux/s390/s390-32/libm.abilist | 1 +
> .../unix/sysv/linux/s390/s390-64/libm.abilist | 1 +
> sysdeps/unix/sysv/linux/sh/be/libm.abilist | 1 +
> sysdeps/unix/sysv/linux/sh/le/libm.abilist | 1 +
> .../unix/sysv/linux/sparc/sparc32/libm.abilist | 1 +
> .../unix/sysv/linux/sparc/sparc64/libm.abilist | 1 +
> sysdeps/unix/sysv/linux/x86_64/64/libm.abilist | 1 +
> sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist | 1 +
> 32 files changed, 63 insertions(+), 8 deletions(-)
> create mode 100644 math/w_exp10f.c
>
> diff --git a/math/Versions b/math/Versions
> index d892c5f911..5b3c321490 100644
> --- a/math/Versions
> +++ b/math/Versions
> @@ -590,4 +590,7 @@ libm {
> totalorderf128;
> totalordermagf128;
> }
> + GLIBC_2.32 {
> + exp10f;
> + }
> }
> diff --git a/math/w_exp10f.c b/math/w_exp10f.c
> new file mode 100644
> index 0000000000..6e25b021ab
> --- /dev/null
> +++ b/math/w_exp10f.c
> @@ -0,0 +1 @@
> +/* Empty. */
> diff --git a/math/w_exp10f_compat.c b/math/w_exp10f_compat.c
> index 2ab0940601..ea8f947193 100644
> --- a/math/w_exp10f_compat.c
> +++ b/math/w_exp10f_compat.c
> @@ -28,9 +28,9 @@
>
> #if LIBM_SVID_COMPAT
> float
> -__exp10f (float x)
> +__exp10f_compat (float x)
> {
> - float z = __ieee754_exp10f (x);
> + float z = __exp10f (x);
> if (__builtin_expect (!isfinite (z) || z == 0, 0)
> && isfinite (x) && _LIB_VERSION != _IEEE_)
> /* exp10f overflow (146) if x > 0, underflow (147) if x < 0. */
> @@ -38,9 +38,9 @@ __exp10f (float x)
>
> return z;
> }
> -libm_alias_float (__exp10, exp10)
> +compat_symbol (libm, __exp10f_compat, exp10f, GLIBC_2_1);
> # if SHLIB_COMPAT (libm, GLIBC_2_1, GLIBC_2_27)
> -strong_alias (__exp10f, __pow10f)
> +strong_alias (__exp10f_compat, __pow10f)
> compat_symbol (libm, __pow10f, pow10f, GLIBC_2_1);
> # endif
> #endif
> diff --git a/sysdeps/ia64/fpu/e_exp10f.S b/sysdeps/ia64/fpu/e_exp10f.S
> index 67218c737f..e82394b725 100644
> --- a/sysdeps/ia64/fpu/e_exp10f.S
> +++ b/sysdeps/ia64/fpu/e_exp10f.S
> @@ -218,7 +218,7 @@ LOCAL_OBJECT_END(T_table)
>
>
> .section .text
> -GLOBAL_IEEE754_ENTRY(exp10f)
> +GLOBAL_IEEE754_ENTRY(__exp10f)
>
>
> {.mfi
> @@ -487,11 +487,17 @@ OUT_RANGE_exp10:
> }
> ;;
>
> -GLOBAL_IEEE754_END(exp10f)
> +GLOBAL_IEEE754_END(__exp10f)
> libm_alias_float_other (__exp10, exp10)
> #if SHLIB_COMPAT (libm, GLIBC_2_1, GLIBC_2_27)
> -compat_symbol (libm, exp10f, pow10f, GLIBC_2_2)
> +strong_alias (__exp10f, __pow10f_compat)
> +compat_symbol (libm, __pow10f_compat, pow10f, GLIBC_2_2)
> #endif
> +#if SHLIB_COMPAT (libm, GLIBC_2_1, GLIBC_2_32)
> +strong_alias (__exp10f, __exp10f_compat)
> +compat_symbol (libm, __exp10f_compat, exp10f, GLIBC_2_1)
> +#endif
> +versioned_symbol (libm, __exp10f, exp10f, GLIBC_2_32)
>
>
> LOCAL_LIBM_ENTRY(__libm_error_region)
> diff --git a/sysdeps/ieee754/flt-32/e_exp10f.c b/sysdeps/ieee754/flt-32/e_exp10f.c
> index 034a9e364a..f51c499b83 100644
> --- a/sysdeps/ieee754/flt-32/e_exp10f.c
> +++ b/sysdeps/ieee754/flt-32/e_exp10f.c
> @@ -21,6 +21,8 @@
> #include <stdint.h>
> #include <libm-alias-finite.h>
> #include <libm-alias-float.h>
> +#include <shlib-compat.h>
> +#include <math-svid-compat.h>
> #include "math_config.h"
>
> /*
> @@ -139,7 +141,7 @@ top13 (float x)
> }
>
> float
> -__ieee754_exp10f (float x)
> +__exp10f (float x)
> {
> uint32_t abstop;
> uint64_t ki, t;
> @@ -195,4 +197,16 @@ __ieee754_exp10f (float x)
> y = y * s;
> return (float) y;
> }
> +#ifndef __exp10f
> +strong_alias (__exp10f, __ieee754_exp10f)
> libm_alias_finite (__ieee754_exp10f, __exp10f)
> +/* For architectures that already provided exp10f without SVID support, there
> + is no need to add a new version. */
> +#if !LIBM_SVID_COMPAT
> +# define EXP10F_VERSION GLIBC_2_26
> +#else
> +# define EXP10F_VERSION GLIBC_2_32
> +#endif
> +versioned_symbol (libm, __exp10f, exp10f, EXP10F_VERSION);
> +libm_alias_float_other (__exp10, exp10)
> +#endif
> diff --git a/sysdeps/m68k/m680x0/fpu/e_exp10f.c b/sysdeps/m68k/m680x0/fpu/e_exp10f.c
> index f58fddd8a6..0d03f00e06 100644
> --- a/sysdeps/m68k/m680x0/fpu/e_exp10f.c
> +++ b/sysdeps/m68k/m680x0/fpu/e_exp10f.c
> @@ -1,3 +1,8 @@
> +#include <libm-alias-float.h>
> #define FUNC __ieee754_exp10f
> #define FUNC_FINITE __exp10f
> #include <e_acosf.c>
> +strong_alias (__ieee754_exp10f, __exp10f)
> +libm_alias_finite (__ieee754_exp10f, __exp10f)
> +versioned_symbol (libm, __exp10f, exp10f, GLIBC_2_32);
> +libm_alias_float_other (__ieee754_exp10, exp10)
> diff --git a/sysdeps/mach/hurd/i386/libm.abilist b/sysdeps/mach/hurd/i386/libm.abilist
> index 1a41ae589f..a19a69ce6a 100644
> --- a/sysdeps/mach/hurd/i386/libm.abilist
> +++ b/sysdeps/mach/hurd/i386/libm.abilist
> @@ -1089,3 +1089,4 @@ GLIBC_2.31 totalordermagf32x F
> GLIBC_2.31 totalordermagf64 F
> GLIBC_2.31 totalordermagf64x F
> GLIBC_2.31 totalordermagl F
> +GLIBC_2.32 exp10f F
> diff --git a/sysdeps/unix/sysv/linux/aarch64/libm.abilist b/sysdeps/unix/sysv/linux/aarch64/libm.abilist
> index 62e1fee467..5362c24e4c 100644
> --- a/sysdeps/unix/sysv/linux/aarch64/libm.abilist
> +++ b/sysdeps/unix/sysv/linux/aarch64/libm.abilist
> @@ -1053,3 +1053,4 @@ GLIBC_2.31 totalordermagf32x F
> GLIBC_2.31 totalordermagf64 F
> GLIBC_2.31 totalordermagf64x F
> GLIBC_2.31 totalordermagl F
> +GLIBC_2.32 exp10f F
> diff --git a/sysdeps/unix/sysv/linux/alpha/libm.abilist b/sysdeps/unix/sysv/linux/alpha/libm.abilist
> index 08ac3905a0..650d10ec8e 100644
> --- a/sysdeps/unix/sysv/linux/alpha/libm.abilist
> +++ b/sysdeps/unix/sysv/linux/alpha/libm.abilist
> @@ -1110,6 +1110,7 @@ GLIBC_2.31 totalordermagf32x F
> GLIBC_2.31 totalordermagf64 F
> GLIBC_2.31 totalordermagf64x F
> GLIBC_2.31 totalordermagl F
> +GLIBC_2.32 exp10f F
> GLIBC_2.4 __clog10l F
> GLIBC_2.4 __finitel F
> GLIBC_2.4 __fpclassifyl F
> diff --git a/sysdeps/unix/sysv/linux/arm/be/libm.abilist b/sysdeps/unix/sysv/linux/arm/be/libm.abilist
> index dd5931f288..6914b58d76 100644
> --- a/sysdeps/unix/sysv/linux/arm/be/libm.abilist
> +++ b/sysdeps/unix/sysv/linux/arm/be/libm.abilist
> @@ -470,6 +470,7 @@ GLIBC_2.31 totalordermagf32 F
> GLIBC_2.31 totalordermagf32x F
> GLIBC_2.31 totalordermagf64 F
> GLIBC_2.31 totalordermagl F
> +GLIBC_2.32 exp10f F
> GLIBC_2.4 _LIB_VERSION D 0x4
> GLIBC_2.4 __clog10 F
> GLIBC_2.4 __clog10f F
> diff --git a/sysdeps/unix/sysv/linux/arm/le/libm.abilist b/sysdeps/unix/sysv/linux/arm/le/libm.abilist
> index dd5931f288..6914b58d76 100644
> --- a/sysdeps/unix/sysv/linux/arm/le/libm.abilist
> +++ b/sysdeps/unix/sysv/linux/arm/le/libm.abilist
> @@ -470,6 +470,7 @@ GLIBC_2.31 totalordermagf32 F
> GLIBC_2.31 totalordermagf32x F
> GLIBC_2.31 totalordermagf64 F
> GLIBC_2.31 totalordermagl F
> +GLIBC_2.32 exp10f F
> GLIBC_2.4 _LIB_VERSION D 0x4
> GLIBC_2.4 __clog10 F
> GLIBC_2.4 __clog10f F
> diff --git a/sysdeps/unix/sysv/linux/hppa/libm.abilist b/sysdeps/unix/sysv/linux/hppa/libm.abilist
> index e7686d71cf..6ac2295b05 100644
> --- a/sysdeps/unix/sysv/linux/hppa/libm.abilist
> +++ b/sysdeps/unix/sysv/linux/hppa/libm.abilist
> @@ -781,4 +781,5 @@ GLIBC_2.31 totalordermagf32 F
> GLIBC_2.31 totalordermagf32x F
> GLIBC_2.31 totalordermagf64 F
> GLIBC_2.31 totalordermagl F
> +GLIBC_2.32 exp10f F
> GLIBC_2.4 exp2l F
> diff --git a/sysdeps/unix/sysv/linux/i386/libm.abilist b/sysdeps/unix/sysv/linux/i386/libm.abilist
> index e67f9d7d27..0ab740dd97 100644
> --- a/sysdeps/unix/sysv/linux/i386/libm.abilist
> +++ b/sysdeps/unix/sysv/linux/i386/libm.abilist
> @@ -1096,3 +1096,4 @@ GLIBC_2.31 totalordermagf32x F
> GLIBC_2.31 totalordermagf64 F
> GLIBC_2.31 totalordermagf64x F
> GLIBC_2.31 totalordermagl F
> +GLIBC_2.32 exp10f F
> diff --git a/sysdeps/unix/sysv/linux/ia64/libm.abilist b/sysdeps/unix/sysv/linux/ia64/libm.abilist
> index 0cf637f248..c8e8fd7142 100644
> --- a/sysdeps/unix/sysv/linux/ia64/libm.abilist
> +++ b/sysdeps/unix/sysv/linux/ia64/libm.abilist
> @@ -1026,3 +1026,4 @@ GLIBC_2.31 totalordermagf32x F
> GLIBC_2.31 totalordermagf64 F
> GLIBC_2.31 totalordermagf64x F
> GLIBC_2.31 totalordermagl F
> +GLIBC_2.32 exp10f F
> diff --git a/sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist b/sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist
> index dd5931f288..6914b58d76 100644
> --- a/sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist
> +++ b/sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist
> @@ -470,6 +470,7 @@ GLIBC_2.31 totalordermagf32 F
> GLIBC_2.31 totalordermagf32x F
> GLIBC_2.31 totalordermagf64 F
> GLIBC_2.31 totalordermagl F
> +GLIBC_2.32 exp10f F
> GLIBC_2.4 _LIB_VERSION D 0x4
> GLIBC_2.4 __clog10 F
> GLIBC_2.4 __clog10f F
> diff --git a/sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist b/sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist
> index f0b17ae485..c60fdc6298 100644
> --- a/sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist
> +++ b/sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist
> @@ -821,3 +821,4 @@ GLIBC_2.31 totalordermagf32 F
> GLIBC_2.31 totalordermagf32x F
> GLIBC_2.31 totalordermagf64 F
> GLIBC_2.31 totalordermagl F
> +GLIBC_2.32 exp10f F
> diff --git a/sysdeps/unix/sysv/linux/microblaze/be/libm.abilist b/sysdeps/unix/sysv/linux/microblaze/be/libm.abilist
> index 8dedc9a8a6..adea0fe4c0 100644
> --- a/sysdeps/unix/sysv/linux/microblaze/be/libm.abilist
> +++ b/sysdeps/unix/sysv/linux/microblaze/be/libm.abilist
> @@ -782,3 +782,4 @@ GLIBC_2.31 totalordermagf32 F
> GLIBC_2.31 totalordermagf32x F
> GLIBC_2.31 totalordermagf64 F
> GLIBC_2.31 totalordermagl F
> +GLIBC_2.32 exp10f F
> diff --git a/sysdeps/unix/sysv/linux/microblaze/le/libm.abilist b/sysdeps/unix/sysv/linux/microblaze/le/libm.abilist
> index 8dedc9a8a6..adea0fe4c0 100644
> --- a/sysdeps/unix/sysv/linux/microblaze/le/libm.abilist
> +++ b/sysdeps/unix/sysv/linux/microblaze/le/libm.abilist
> @@ -782,3 +782,4 @@ GLIBC_2.31 totalordermagf32 F
> GLIBC_2.31 totalordermagf32x F
> GLIBC_2.31 totalordermagf64 F
> GLIBC_2.31 totalordermagl F
> +GLIBC_2.32 exp10f F
> diff --git a/sysdeps/unix/sysv/linux/mips/mips32/libm.abilist b/sysdeps/unix/sysv/linux/mips/mips32/libm.abilist
> index a221d7be09..272969a26f 100644
> --- a/sysdeps/unix/sysv/linux/mips/mips32/libm.abilist
> +++ b/sysdeps/unix/sysv/linux/mips/mips32/libm.abilist
> @@ -781,4 +781,5 @@ GLIBC_2.31 totalordermagf32 F
> GLIBC_2.31 totalordermagf32x F
> GLIBC_2.31 totalordermagf64 F
> GLIBC_2.31 totalordermagl F
> +GLIBC_2.32 exp10f F
> GLIBC_2.4 exp2l F
> diff --git a/sysdeps/unix/sysv/linux/mips/mips64/libm.abilist b/sysdeps/unix/sysv/linux/mips/mips64/libm.abilist
> index 823f87277e..dd0dc6689c 100644
> --- a/sysdeps/unix/sysv/linux/mips/mips64/libm.abilist
> +++ b/sysdeps/unix/sysv/linux/mips/mips64/libm.abilist
> @@ -1053,3 +1053,4 @@ GLIBC_2.31 totalordermagf32x F
> GLIBC_2.31 totalordermagf64 F
> GLIBC_2.31 totalordermagf64x F
> GLIBC_2.31 totalordermagl F
> +GLIBC_2.32 exp10f F
> diff --git a/sysdeps/unix/sysv/linux/nios2/libm.abilist b/sysdeps/unix/sysv/linux/nios2/libm.abilist
> index 64ac932c6a..4941deefa6 100644
> --- a/sysdeps/unix/sysv/linux/nios2/libm.abilist
> +++ b/sysdeps/unix/sysv/linux/nios2/libm.abilist
> @@ -782,3 +782,4 @@ GLIBC_2.31 totalordermagf32 F
> GLIBC_2.31 totalordermagf32x F
> GLIBC_2.31 totalordermagf64 F
> GLIBC_2.31 totalordermagl F
> +GLIBC_2.32 exp10f F
> diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist b/sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist
> index 3fab31ff9c..fc2d142bd5 100644
> --- a/sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist
> +++ b/sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist
> @@ -827,6 +827,7 @@ GLIBC_2.31 totalordermagf32 F
> GLIBC_2.31 totalordermagf32x F
> GLIBC_2.31 totalordermagf64 F
> GLIBC_2.31 totalordermagl F
> +GLIBC_2.32 exp10f F
> GLIBC_2.4 __clog10l F
> GLIBC_2.4 __finitel F
> GLIBC_2.4 __fpclassifyl F
> diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc64/be/libm.abilist b/sysdeps/unix/sysv/linux/powerpc/powerpc64/be/libm.abilist
> index 1369ab510c..972c9bc597 100644
> --- a/sysdeps/unix/sysv/linux/powerpc/powerpc64/be/libm.abilist
> +++ b/sysdeps/unix/sysv/linux/powerpc/powerpc64/be/libm.abilist
> @@ -820,6 +820,7 @@ GLIBC_2.31 totalordermagf32 F
> GLIBC_2.31 totalordermagf32x F
> GLIBC_2.31 totalordermagf64 F
> GLIBC_2.31 totalordermagl F
> +GLIBC_2.32 exp10f F
> GLIBC_2.4 __clog10l F
> GLIBC_2.4 __finitel F
> GLIBC_2.4 __fpclassifyl F
> diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc64/le/libm.abilist b/sysdeps/unix/sysv/linux/powerpc/powerpc64/le/libm.abilist
> index d479a64fca..1ce52ea277 100644
> --- a/sysdeps/unix/sysv/linux/powerpc/powerpc64/le/libm.abilist
> +++ b/sysdeps/unix/sysv/linux/powerpc/powerpc64/le/libm.abilist
> @@ -1097,3 +1097,4 @@ GLIBC_2.31 totalordermagf32x F
> GLIBC_2.31 totalordermagf64 F
> GLIBC_2.31 totalordermagf64x F
> GLIBC_2.31 totalordermagl F
> +GLIBC_2.32 exp10f F
> diff --git a/sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist b/sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist
> index cd6be8e584..321810d5a4 100644
> --- a/sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist
> +++ b/sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist
> @@ -1054,6 +1054,7 @@ GLIBC_2.31 totalordermagf32x F
> GLIBC_2.31 totalordermagf64 F
> GLIBC_2.31 totalordermagf64x F
> GLIBC_2.31 totalordermagl F
> +GLIBC_2.32 exp10f F
> GLIBC_2.4 __clog10l F
> GLIBC_2.4 __finitel F
> GLIBC_2.4 __fpclassifyl F
> diff --git a/sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist b/sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist
> index 5291424feb..451a860a83 100644
> --- a/sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist
> +++ b/sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist
> @@ -1054,6 +1054,7 @@ GLIBC_2.31 totalordermagf32x F
> GLIBC_2.31 totalordermagf64 F
> GLIBC_2.31 totalordermagf64x F
> GLIBC_2.31 totalordermagl F
> +GLIBC_2.32 exp10f F
> GLIBC_2.4 __clog10l F
> GLIBC_2.4 __finitel F
> GLIBC_2.4 __fpclassifyl F
> diff --git a/sysdeps/unix/sysv/linux/sh/be/libm.abilist b/sysdeps/unix/sysv/linux/sh/be/libm.abilist
> index de0f1c57c3..a5fb514eae 100644
> --- a/sysdeps/unix/sysv/linux/sh/be/libm.abilist
> +++ b/sysdeps/unix/sysv/linux/sh/be/libm.abilist
> @@ -781,4 +781,5 @@ GLIBC_2.31 totalordermagf32 F
> GLIBC_2.31 totalordermagf32x F
> GLIBC_2.31 totalordermagf64 F
> GLIBC_2.31 totalordermagl F
> +GLIBC_2.32 exp10f F
> GLIBC_2.4 exp2l F
> diff --git a/sysdeps/unix/sysv/linux/sh/le/libm.abilist b/sysdeps/unix/sysv/linux/sh/le/libm.abilist
> index de0f1c57c3..a5fb514eae 100644
> --- a/sysdeps/unix/sysv/linux/sh/le/libm.abilist
> +++ b/sysdeps/unix/sysv/linux/sh/le/libm.abilist
> @@ -781,4 +781,5 @@ GLIBC_2.31 totalordermagf32 F
> GLIBC_2.31 totalordermagf32x F
> GLIBC_2.31 totalordermagf64 F
> GLIBC_2.31 totalordermagl F
> +GLIBC_2.32 exp10f F
> GLIBC_2.4 exp2l F
> diff --git a/sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist b/sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist
> index fc52ebf64e..d81e8a726b 100644
> --- a/sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist
> +++ b/sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist
> @@ -1061,6 +1061,7 @@ GLIBC_2.31 totalordermagf32x F
> GLIBC_2.31 totalordermagf64 F
> GLIBC_2.31 totalordermagf64x F
> GLIBC_2.31 totalordermagl F
> +GLIBC_2.32 exp10f F
> GLIBC_2.4 __clog10l F
> GLIBC_2.4 __finitel F
> GLIBC_2.4 __fpclassifyl F
> diff --git a/sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist b/sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist
> index 5288a28533..3d12376d33 100644
> --- a/sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist
> +++ b/sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist
> @@ -1053,3 +1053,4 @@ GLIBC_2.31 totalordermagf32x F
> GLIBC_2.31 totalordermagf64 F
> GLIBC_2.31 totalordermagf64x F
> GLIBC_2.31 totalordermagl F
> +GLIBC_2.32 exp10f F
> diff --git a/sysdeps/unix/sysv/linux/x86_64/64/libm.abilist b/sysdeps/unix/sysv/linux/x86_64/64/libm.abilist
> index d620e465d2..89c4ac484d 100644
> --- a/sysdeps/unix/sysv/linux/x86_64/64/libm.abilist
> +++ b/sysdeps/unix/sysv/linux/x86_64/64/libm.abilist
> @@ -1087,3 +1087,4 @@ GLIBC_2.31 totalordermagf32x F
> GLIBC_2.31 totalordermagf64 F
> GLIBC_2.31 totalordermagf64x F
> GLIBC_2.31 totalordermagl F
> +GLIBC_2.32 exp10f F
> diff --git a/sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist b/sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist
> index 44b0eddc50..d3c9cec71a 100644
> --- a/sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist
> +++ b/sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist
> @@ -1087,3 +1087,4 @@ GLIBC_2.31 totalordermagf32x F
> GLIBC_2.31 totalordermagf64 F
> GLIBC_2.31 totalordermagf64x F
> GLIBC_2.31 totalordermagl F
> +GLIBC_2.32 exp10f F
>
^ permalink raw reply [flat|nested] 21+ messages in thread
* Re: [PATCH 5/5] ia64: Use generic exp10f
2020-04-09 19:59 ` [PATCH 5/5] ia64: Use generic exp10f Adhemerval Zanella
2020-04-09 21:18 ` Joseph Myers
@ 2020-04-29 17:11 ` Adhemerval Zanella
2020-05-20 20:19 ` Adhemerval Zanella
1 sibling, 1 reply; 21+ messages in thread
From: Adhemerval Zanella @ 2020-04-29 17:11 UTC (permalink / raw)
To: libc-alpha
Ping.
On 09/04/2020 16:59, Adhemerval Zanella wrote:
> The generic implementation is slight worse (Itanium(R) Processor 9020):
>
> Before new code:
> "exp10f": {
> "": {
> "duration": 3.52876e+08,
> "iterations": 2.1456e+07,
> "max": 232.907,
> "min": 7.766,
> "mean": 16.4465
> }
> }
>
> With new code:
> "exp10f": {
> "": {
> "duration": 3.67279e+08,
> "iterations": 2.1456e+07,
> "max": 220.718,
> "min": 15.503,
> "mean": 17.1178
> }
> }
>
> However it fixes all the issues on both:
>
> math/test-float-exp10
> math/test-float32-exp10
>
> (all the issues wrong results for non default rounding modes).
>
> Checked on ia64-linux-gnu.
> ---
> sysdeps/ia64/fpu/e_exp10f.S | 568 -----------------------------
> sysdeps/ia64/fpu/e_exp2f_data.c | 1 -
> sysdeps/ia64/fpu/libm-test-ulps | 3 +
> sysdeps/ia64/fpu/math_errf.c | 1 -
> sysdeps/ia64/fpu/w_exp10f.c | 1 -
> sysdeps/ia64/fpu/w_exp10f_compat.c | 1 -
> 6 files changed, 3 insertions(+), 572 deletions(-)
> delete mode 100644 sysdeps/ia64/fpu/e_exp10f.S
> delete mode 100644 sysdeps/ia64/fpu/e_exp2f_data.c
> delete mode 100644 sysdeps/ia64/fpu/math_errf.c
> delete mode 100644 sysdeps/ia64/fpu/w_exp10f.c
> delete mode 100644 sysdeps/ia64/fpu/w_exp10f_compat.c
>
> diff --git a/sysdeps/ia64/fpu/e_exp10f.S b/sysdeps/ia64/fpu/e_exp10f.S
> deleted file mode 100644
> index e82394b725..0000000000
> --- a/sysdeps/ia64/fpu/e_exp10f.S
> +++ /dev/null
> @@ -1,568 +0,0 @@
> -.file "exp10f.s"
> -
> -
> -// Copyright (c) 2000 - 2005, Intel Corporation
> -// All rights reserved.
> -//
> -// Contributed 2000 by the Intel Numerics Group, Intel Corporation
> -//
> -// Redistribution and use in source and binary forms, with or without
> -// modification, are permitted provided that the following conditions are
> -// met:
> -//
> -// * Redistributions of source code must retain the above copyright
> -// notice, this list of conditions and the following disclaimer.
> -//
> -// * Redistributions in binary form must reproduce the above copyright
> -// notice, this list of conditions and the following disclaimer in the
> -// documentation and/or other materials provided with the distribution.
> -//
> -// * The name of Intel Corporation may not be used to endorse or promote
> -// products derived from this software without specific prior written
> -// permission.
> -
> -// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
> -// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
> -// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
> -// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
> -// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
> -// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
> -// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
> -// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
> -// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
> -// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
> -// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
> -//
> -// Intel Corporation is the author of this code, and requests that all
> -// problem reports or change requests be submitted to it directly at
> -// http://www.intel.com/software/products/opensource/libraries/num.htm.
> -//
> -// History
> -//==============================================================
> -// 08/25/00 Initial version
> -// 05/20/02 Cleaned up namespace and sf0 syntax
> -// 09/06/02 Improved performance and accuracy; no inexact flags on exact cases
> -// 01/29/03 Added missing } to bundle templates
> -// 12/16/04 Call error handling on underflow.
> -// 03/31/05 Reformatted delimiters between data tables
> -//
> -// API
> -//==============================================================
> -// float exp10f(float)
> -//
> -// Overview of operation
> -//==============================================================
> -// Background
> -//
> -// Implementation
> -//
> -// Let x= (K + fh + fl + r)/log2(10), where
> -// K is an integer, fh= 0.b1 b2 b3 b4 b5,
> -// fl= 2^{-5}* 0.b6 b7 b8 b8 b10 (fh, fl >= 0),
> -// and |r|<2^{-11}
> -// Th is a table that stores 2^fh (32 entries) rounded to
> -// double extended precision (only mantissa is stored)
> -// Tl is a table that stores 2^fl (32 entries) rounded to
> -// double extended precision (only mantissa is stored)
> -//
> -// 10^x is approximated as
> -// 2^K * Th [ f ] * Tl [ f ] * (1+c1*r+c2*r^2)
> -
> -// Note there are only 10 non-zero values that produce an exact result:
> -// 1.0, 2.0, ... 10.0.
> -// We test for these cases and use s1 to avoid setting the inexact flag.
> -
> -// Special values
> -//==============================================================
> -// exp10(0)= 1
> -// exp10(+inf)= inf
> -// exp10(-inf)= 0
> -//
> -
> -// Registers used
> -//==============================================================
> -// r2-r3, r14-r40
> -// f6-f15, f32-f52
> -// p6-p12
> -//
> -
> -#include <shlib-compat.h>
> -
> -
> -GR_TBL_START = r2
> -GR_LOG_TBL = r3
> -
> -GR_OF_LIMIT = r14
> -GR_UF_LIMIT = r15
> -GR_EXP_CORR = r16
> -GR_F_low = r17
> -GR_F_high = r18
> -GR_K = r19
> -GR_Flow_ADDR = r20
> -
> -GR_BIAS = r21
> -GR_Fh = r22
> -GR_Fh_ADDR = r23
> -GR_EXPMAX = r24
> -
> -GR_ROUNDVAL = r26
> -GR_SNORM_LIMIT = r26
> -GR_MASK = r27
> -GR_KF0 = r28
> -GR_MASK_low = r29
> -GR_COEFF_START = r30
> -GR_exact_limit = r31
> -
> -GR_SAVE_B0 = r33
> -GR_SAVE_PFS = r34
> -GR_SAVE_GP = r35
> -GR_SAVE_SP = r36
> -
> -GR_Parameter_X = r37
> -GR_Parameter_Y = r38
> -GR_Parameter_RESULT = r39
> -GR_Parameter_TAG = r40
> -
> -
> -FR_X = f10
> -FR_Y = f1
> -FR_RESULT = f8
> -
> -
> -FR_COEFF1 = f6
> -FR_COEFF2 = f7
> -FR_R = f9
> -FR_LOG2_10 = f10
> -
> -FR_2P53 = f11
> -FR_KF0 = f12
> -FR_COEFF3 = f13
> -FR_COEFF4 = f14
> -FR_UF_LIMIT = f15
> -
> -FR_OF_LIMIT = f32
> -FR_DX_L210 = f33
> -FR_ROUNDVAL = f34
> -FR_KF = f35
> -
> -FR_2_TO_K = f36
> -FR_T_low = f37
> -FR_T_high = f38
> -
> -FR_P12 = f41
> -FR_T_low_K = f42
> -FR_T = f44
> -FR_P = f45
> -
> -FR_E = f49
> -FR_exact_limit = f50
> -
> -FR_int_x = f51
> -FR_SNORM_LIMIT = f52
> -
> -
> -// Data tables
> -//==============================================================
> -
> -RODATA
> -
> -.align 16
> -
> -LOCAL_OBJECT_START(poly_coeffs)
> -
> -data8 0xd49a784bcd1b8afe, 0x00003fcb // log2(10)*2^(10-63)
> -data8 0xb17217f7d1cf79ab, 0x00004033 // C_1 * 2^53
> -data8 0xf5fdeffc162c7541, 0x00004066 // C_2 * 2^106
> -LOCAL_OBJECT_END(poly_coeffs)
> -
> -
> -LOCAL_OBJECT_START(T_table)
> -
> -// 2^{0.00000 b6 b7 b8 b9 b10}
> -data8 0x8000000000000000, 0x8016302f17467628
> -data8 0x802c6436d0e04f50, 0x80429c17d77c18ed
> -data8 0x8058d7d2d5e5f6b0, 0x806f17687707a7af
> -data8 0x80855ad965e88b83, 0x809ba2264dada76a
> -data8 0x80b1ed4fd999ab6c, 0x80c83c56b50cf77f
> -data8 0x80de8f3b8b85a0af, 0x80f4e5ff089f763e
> -data8 0x810b40a1d81406d4, 0x81219f24a5baa59d
> -data8 0x813801881d886f7b, 0x814e67cceb90502c
> -data8 0x8164d1f3bc030773, 0x817b3ffd3b2f2e47
> -data8 0x8191b1ea15813bfd, 0x81a827baf7838b78
> -data8 0x81bea1708dde6055, 0x81d51f0b8557ec1c
> -data8 0x81eba08c8ad4536f, 0x820225f44b55b33b
> -data8 0x8218af4373fc25eb, 0x822f3c7ab205c89a
> -data8 0x8245cd9ab2cec048, 0x825c62a423d13f0c
> -data8 0x8272fb97b2a5894c, 0x828998760d01faf3
> -data8 0x82a0393fe0bb0ca8, 0x82b6ddf5dbc35906
> -//
> -// 2^{0.b1 b2 b3 b4 b5}
> -data8 0x8000000000000000, 0x82cd8698ac2ba1d7
> -data8 0x85aac367cc487b14, 0x88980e8092da8527
> -data8 0x8b95c1e3ea8bd6e6, 0x8ea4398b45cd53c0
> -data8 0x91c3d373ab11c336, 0x94f4efa8fef70961
> -data8 0x9837f0518db8a96f, 0x9b8d39b9d54e5538
> -data8 0x9ef5326091a111ad, 0xa27043030c496818
> -data8 0xa5fed6a9b15138ea, 0xa9a15ab4ea7c0ef8
> -data8 0xad583eea42a14ac6, 0xb123f581d2ac258f
> -data8 0xb504f333f9de6484, 0xb8fbaf4762fb9ee9
> -data8 0xbd08a39f580c36be, 0xc12c4cca66709456
> -data8 0xc5672a115506dadd, 0xc9b9bd866e2f27a2
> -data8 0xce248c151f8480e3, 0xd2a81d91f12ae45a
> -data8 0xd744fccad69d6af4, 0xdbfbb797daf23755
> -data8 0xe0ccdeec2a94e111, 0xe5b906e77c8348a8
> -data8 0xeac0c6e7dd24392e, 0xefe4b99bdcdaf5cb
> -data8 0xf5257d152486cc2c, 0xfa83b2db722a033a
> -LOCAL_OBJECT_END(T_table)
> -
> -
> -
> -.section .text
> -GLOBAL_IEEE754_ENTRY(__exp10f)
> -
> -
> -{.mfi
> - alloc r32= ar.pfs, 1, 4, 4, 0
> - // will continue only for non-zero normal/denormal numbers
> - fclass.nm.unc p12, p7= f8, 0x1b
> - nop.i 0
> -}
> -{.mlx
> - // GR_TBL_START= pointer to log2(10), C_1...C_4 followed by T_table
> - addl GR_TBL_START= @ltoff(poly_coeffs), gp
> - movl GR_ROUNDVAL= 0x3fc00000 // 1.5 (SP)
> -}
> -;;
> -
> -{.mfi
> - ld8 GR_COEFF_START= [ GR_TBL_START ] // Load pointer to coeff table
> - fcmp.lt.s1 p6, p8= f8, f0 // X<0 ?
> - nop.i 0
> -}
> -;;
> -
> -{.mlx
> - nop.m 0
> - movl GR_UF_LIMIT= 0xc2349e35 // (-2^7-22) / log2(10)
> -}
> -{.mlx
> - setf.s FR_ROUNDVAL= GR_ROUNDVAL
> - movl GR_OF_LIMIT= 0x421a209a // Overflow threshold
> -}
> -;;
> -
> -{.mlx
> - ldfe FR_LOG2_10= [ GR_COEFF_START ], 16 // load log2(10)*2^(10-63)
> - movl GR_SNORM_LIMIT= 0xc217b818 // Smallest normal threshold
> -}
> -{.mib
> - nop.m 0
> - nop.i 0
> - (p12) br.cond.spnt SPECIAL_exp10 // Branch if nan, inf, zero
> -}
> -;;
> -
> -{.mfi
> - setf.s FR_OF_LIMIT= GR_OF_LIMIT // Set overflow limit
> - fma.s0 f8= f8, f1, f0 // normalize x
> - nop.i 0
> -}
> -;;
> -
> -{.mfi
> - setf.s FR_SNORM_LIMIT= GR_SNORM_LIMIT // Set smallest normal limit
> - (p8) fcvt.fx.s1 FR_int_x = f8 // Convert x to integer
> - nop.i 0
> -}
> -{.mfi
> - setf.s FR_UF_LIMIT= GR_UF_LIMIT // Set underflow limit
> - fma.s1 FR_KF0= f8, FR_LOG2_10, FR_ROUNDVAL // y= (x*log2(10)*2^10 +
> - // 1.5*2^63) * 2^(-63)
> - mov GR_EXP_CORR= 0xffff-126
> -}
> -;;
> -
> -{.mfi
> - ldfe FR_COEFF1= [ GR_COEFF_START ], 16 // load C_1
> - fms.s1 FR_KF= FR_KF0, f1, FR_ROUNDVAL // (K+f)*2^(10-63)
> - mov GR_MASK= 1023
> -}
> -;;
> -
> -{.mfi
> - ldfe FR_COEFF2= [ GR_COEFF_START ], 16 // load C_2
> - nop.f 0
> - mov GR_MASK_low= 31
> -}
> -;;
> -
> -{.mlx
> - getf.sig GR_KF0= FR_KF0 // (K+f)*2^10= round_to_int(y)
> - (p8) movl GR_exact_limit= 0x41200000 // Largest x for exact result,
> - // +10.0
> -}
> -;;
> -
> -{.mfi
> - add GR_LOG_TBL= 256, GR_COEFF_START // Pointer to high T_table
> - fcmp.gt.s1 p12, p7= f8, FR_OF_LIMIT // x>overflow threshold ?
> - nop.i 0
> -}
> -;;
> -
> -{.mfi
> - (p8) setf.s FR_exact_limit = GR_exact_limit // Largest x for exact result
> - (p8) fcvt.xf FR_int_x = FR_int_x // Integral part of x
> - shr GR_K= GR_KF0, 10 // K
> -}
> -{.mfi
> - and GR_F_high= GR_MASK, GR_KF0 // f_high*32
> - fms.s1 FR_R= f8, FR_LOG2_10, FR_KF // r*2^(-53)= [ x*log2(10)-
> - // (K+f) ] *2^{10-63}
> - and GR_F_low= GR_KF0, GR_MASK_low // f_low
> -}
> -;;
> -
> -{.mmi
> - shladd GR_Flow_ADDR= GR_F_low, 3, GR_COEFF_START // address of 2^{f_low}
> - add GR_BIAS= GR_K, GR_EXP_CORR // K= bias-2*63
> - shr GR_Fh= GR_F_high, 5 // f_high
> -}
> -;;
> -
> -{.mfi
> - setf.exp FR_2_TO_K= GR_BIAS // 2^{K-126}
> - (p7) fcmp.lt.s1 p12, p7= f8, FR_UF_LIMIT // x<underflow threshold ?
> - shladd GR_Fh_ADDR= GR_Fh, 3, GR_LOG_TBL // address of 2^{f_high}
> -}
> -{.mfi
> - ldf8 FR_T_low= [ GR_Flow_ADDR ] // load T_low= 2^{f_low}
> - nop.f 0
> - nop.i 0
> -}
> -;;
> -
> -{.mfb
> - ldf8 FR_T_high= [ GR_Fh_ADDR ] // load T_high= 2^{f_high}
> - fcmp.ge.s1 p11, p0= f8, FR_SNORM_LIMIT // Test x for normal range
> - (p12) br.cond.spnt OUT_RANGE_exp10
> -}
> -;;
> -
> -{.mfi
> - nop.m 0
> - fma.s1 FR_P12= FR_COEFF2, FR_R, FR_COEFF1 // P12= C_1+C_2*r
> - cmp.eq p7,p9= r0,r0 // Assume inexact result
> -}
> -;;
> -
> -{.mfi
> - nop.m 0
> - (p8) fcmp.eq.s1 p9,p7= FR_int_x, f8 // Test x positive integer
> - nop.i 0
> -}
> -{.mfi
> - nop.m 0
> - fma.s1 FR_T_low_K= FR_T_low, FR_2_TO_K, f0 // T= 2^{K-126}*T_low
> - nop.i 0
> -}
> -;;
> -
> -{.mfi
> - nop.m 0
> - fma.s1 FR_P= FR_P12, FR_R, f0 // P= P12*r
> - nop.i 0
> -}
> -;;
> -
> -// If x a positive integer, will it produce an exact result?
> -// p7 result will be inexact
> -// p9 result will be exact
> -{.mfi
> - nop.m 0
> - (p9) fcmp.le.s1 p9,p7= f8, FR_exact_limit // Test x gives exact result
> - nop.i 0
> -}
> -{.mfi
> - nop.m 0
> - fma.s1 FR_T= FR_T_low_K, FR_T_high, f0 // T= T*T_high
> - nop.i 0
> -}
> -;;
> -
> -.pred.rel "mutex",p7,p9
> -{.mfi
> - nop.m 0
> - (p7) fma.s.s0 f8= FR_P, FR_T, FR_T // result= T+T*P, inexact set
> - nop.i 0
> -}
> -{.mfb
> - nop.m 0
> - (p9) fma.s.s1 f8= FR_P, FR_T, FR_T // result= T+T*P, exact use s1
> - (p11) br.ret.sptk b0 // return, if result normal
> -}
> -;;
> -
> -// Here if result in denormal range (and not zero)
> -{.mib
> - nop.m 0
> - mov GR_Parameter_TAG= 266
> - br.cond.sptk __libm_error_region // Branch to error handling
> -}
> -;;
> -
> -SPECIAL_exp10:
> -{.mfi
> - nop.m 0
> - fclass.m p6, p0= f8, 0x22 // x= -Infinity ?
> - nop.i 0
> -}
> -;;
> -
> -{.mfi
> - nop.m 0
> - fclass.m p7, p0= f8, 0x21 // x= +Infinity ?
> - nop.i 0
> -}
> -;;
> -
> -{.mfi
> - nop.m 0
> - fclass.m p8, p0= f8, 0x7 // x= +/-Zero ?
> - nop.i 0
> -}
> -{.mfb
> - nop.m 0
> - (p6) mov f8= f0 // exp10(-Infinity)= 0
> - (p6) br.ret.spnt b0
> -}
> -;;
> -
> -{.mfb
> - nop.m 0
> - nop.f 0
> - (p7) br.ret.spnt b0 // exp10(+Infinity)= +Infinity
> -}
> -;;
> -
> -{.mfb
> - nop.m 0
> - (p8) mov f8= f1 // exp10(+/-0)= 1
> - (p8) br.ret.spnt b0
> -}
> -;;
> -
> -{.mfb
> - nop.m 0
> - fma.s.s0 f8= f8, f1, f0 // Remaining cases: NaNs
> - br.ret.sptk b0
> -}
> -;;
> -
> -
> -OUT_RANGE_exp10:
> -
> -// underflow: p6= 1
> -// overflow: p8= 1
> -
> -.pred.rel "mutex",p6,p8
> -{.mmi
> - (p8) mov GR_EXPMAX= 0x1fffe
> - (p6) mov GR_EXPMAX= 1
> - nop.i 0
> -}
> -;;
> -
> -{.mii
> - setf.exp FR_R= GR_EXPMAX
> - (p8) mov GR_Parameter_TAG= 167
> - (p6) mov GR_Parameter_TAG= 266
> -}
> -;;
> -
> -{.mfb
> - nop.m 0
> - fma.s.s0 f8= FR_R, FR_R, f0 // Create overflow/underflow
> - br.cond.sptk __libm_error_region // Branch to error handling
> -}
> -;;
> -
> -GLOBAL_IEEE754_END(__exp10f)
> -libm_alias_float_other (__exp10, exp10)
> -#if SHLIB_COMPAT (libm, GLIBC_2_1, GLIBC_2_27)
> -strong_alias (__exp10f, __pow10f_compat)
> -compat_symbol (libm, __pow10f_compat, pow10f, GLIBC_2_2)
> -#endif
> -#if SHLIB_COMPAT (libm, GLIBC_2_1, GLIBC_2_32)
> -strong_alias (__exp10f, __exp10f_compat)
> -compat_symbol (libm, __exp10f_compat, exp10f, GLIBC_2_1)
> -#endif
> -versioned_symbol (libm, __exp10f, exp10f, GLIBC_2_32)
> -
> -
> -LOCAL_LIBM_ENTRY(__libm_error_region)
> -
> -.prologue
> -{.mfi
> - add GR_Parameter_Y= -32, sp // Parameter 2 value
> - nop.f 0
> -.save ar.pfs, GR_SAVE_PFS
> - mov GR_SAVE_PFS= ar.pfs // Save ar.pfs
> -}
> -
> -{.mfi
> -.fframe 64
> - add sp= -64, sp // Create new stack
> - nop.f 0
> - mov GR_SAVE_GP= gp // Save gp
> -}
> -;;
> -
> -{.mmi
> - stfs [ GR_Parameter_Y ]= FR_Y, 16 // STORE Parameter 2 on stack
> - add GR_Parameter_X= 16, sp // Parameter 1 address
> -.save b0, GR_SAVE_B0
> - mov GR_SAVE_B0= b0 // Save b0
> -}
> -;;
> -
> -.body
> -{.mib
> - stfs [ GR_Parameter_X ]= FR_X // STORE Parameter 1 on stack
> - add GR_Parameter_RESULT= 0, GR_Parameter_Y // Parameter 3 address
> - nop.b 0
> -}
> -{.mib
> - stfs [ GR_Parameter_Y ]= FR_RESULT // STORE Parameter 3 on stack
> - add GR_Parameter_Y= -16, GR_Parameter_Y
> - br.call.sptk b0= __libm_error_support# // Call error handling function
> -}
> -;;
> -
> -{.mmi
> - add GR_Parameter_RESULT= 48, sp
> - nop.m 0
> - nop.i 0
> -}
> -;;
> -
> -{.mmi
> - ldfs f8= [ GR_Parameter_RESULT ] // Get return result off stack
> -.restore sp
> - add sp= 64, sp // Restore stack pointer
> - mov b0= GR_SAVE_B0 // Restore return address
> -}
> -;;
> -
> -{.mib
> - mov gp= GR_SAVE_GP // Restore gp
> - mov ar.pfs= GR_SAVE_PFS // Restore ar.pfs
> - br.ret.sptk b0 // Return
> -}
> -;;
> -
> -
> -LOCAL_LIBM_END(__libm_error_region)
> -
> -.type __libm_error_support#, @function
> -.global __libm_error_support#
> diff --git a/sysdeps/ia64/fpu/e_exp2f_data.c b/sysdeps/ia64/fpu/e_exp2f_data.c
> deleted file mode 100644
> index 1cc8931700..0000000000
> --- a/sysdeps/ia64/fpu/e_exp2f_data.c
> +++ /dev/null
> @@ -1 +0,0 @@
> -/* Not needed. */
> diff --git a/sysdeps/ia64/fpu/libm-test-ulps b/sysdeps/ia64/fpu/libm-test-ulps
> index d0cab46c3b..249dd9e7e5 100644
> --- a/sysdeps/ia64/fpu/libm-test-ulps
> +++ b/sysdeps/ia64/fpu/libm-test-ulps
> @@ -1057,12 +1057,15 @@ float: 1
> float128: 2
>
> Function: "exp10_downward":
> +float: 1
> float128: 3
>
> Function: "exp10_towardzero":
> +float: 1
> float128: 3
>
> Function: "exp10_upward":
> +float: 1
> float128: 3
>
> Function: "exp2":
> diff --git a/sysdeps/ia64/fpu/math_errf.c b/sysdeps/ia64/fpu/math_errf.c
> deleted file mode 100644
> index 1cc8931700..0000000000
> --- a/sysdeps/ia64/fpu/math_errf.c
> +++ /dev/null
> @@ -1 +0,0 @@
> -/* Not needed. */
> diff --git a/sysdeps/ia64/fpu/w_exp10f.c b/sysdeps/ia64/fpu/w_exp10f.c
> deleted file mode 100644
> index 1cc8931700..0000000000
> --- a/sysdeps/ia64/fpu/w_exp10f.c
> +++ /dev/null
> @@ -1 +0,0 @@
> -/* Not needed. */
> diff --git a/sysdeps/ia64/fpu/w_exp10f_compat.c b/sysdeps/ia64/fpu/w_exp10f_compat.c
> deleted file mode 100644
> index 41254ae60a..0000000000
> --- a/sysdeps/ia64/fpu/w_exp10f_compat.c
> +++ /dev/null
> @@ -1 +0,0 @@
> -/* Not needed. */
>
^ permalink raw reply [flat|nested] 21+ messages in thread
* Re: [PATCH 1/5] benchtests: Add exp10f benchmark
2020-04-29 17:11 ` Adhemerval Zanella
@ 2020-05-20 20:18 ` Adhemerval Zanella
0 siblings, 0 replies; 21+ messages in thread
From: Adhemerval Zanella @ 2020-05-20 20:18 UTC (permalink / raw)
To: libc-alpha
Ping (x2).
On 29/04/2020 14:11, Adhemerval Zanella wrote:
> Ping.
>
> On 16/04/2020 17:41, Adhemerval Zanella wrote:
>>
>>
>> On 09/04/2020 16:59, Adhemerval Zanella wrote:
>>> From: Paul Zimmermann <Paul.Zimmermann@inria.fr>
>>>
>>> It is based on converting the expf one and removing the
>>> workload-spec2017.wrf line.
>> Updated patch based on previous comments.
>>
>> --
>>
>> It is based on expf one by converting each line with the formula:
>>
>> new_val = (float) log10 (exp ((double) old_val))
>> ---
>> benchtests/Makefile | 3 +-
>> benchtests/exp10f-inputs | 2388 ++++++++++++++++++++++++++++++++++++++
>> 2 files changed, 2390 insertions(+), 1 deletion(-)
>> create mode 100644 benchtests/exp10f-inputs
>>
>> diff --git a/benchtests/Makefile b/benchtests/Makefile
>> index 335d643ecb..a9d71f2c44 100644
>> --- a/benchtests/Makefile
>> +++ b/benchtests/Makefile
>> @@ -24,7 +24,8 @@ include ../Makeconfig
>> bench-math := acos acosh asin asinh atan atanh cos cosh exp exp2 log log2 \
>> modf pow rint sin sincos sinh sqrt tan tanh fmin fmax fminf \
>> fmaxf powf trunc truncf roundeven roundevenf expf exp2f logf \
>> - log2f sincosf sinf cosf isnan isinf isfinite hypot logb logbf
>> + log2f sincosf sinf cosf isnan isinf isfinite hypot logb logbf \
>> + exp10f
>>
>> bench-pthread := pthread_once thread_create
>>
>> diff --git a/benchtests/exp10f-inputs b/benchtests/exp10f-inputs
>> new file mode 100644
>> index 0000000000..302af485eb
>> --- /dev/null
>> +++ b/benchtests/exp10f-inputs
>> @@ -0,0 +1,2388 @@
>> +## args: float
>> +## ret: float
>> +## includes: math.h
>> +## name: workload-spec2017.wrf (adapted)
>> +0x0p+0
>> +-0x1.cca64ap+0
>> +-0x1.570ef6p-2
>> +0x1.1aa2d2p+2
>> +0x1.0f756cp+2
>> +0x1.0f4c5p+2
>> +-0x1.4e5cbap-1
>> +-0x1.10efc8p+0
>> +-0x1.ca213p-2
>> +0x1.12c966p+2
>> +0x1.acffep+1
>> +-0x1.8118a2p-3
>> +-0x1.d5e3a2p+3
>> +-0x1.480aep+3
>> +0x1.f608d6p+1
>> +-0x1.32fc0cp+2
>> +-0x1.4b229ap-1
>> +0x1.d0b80ep-2
>> +0x1.19a5b6p+2
>> +0x1.a42b5ep+1
>> +0x1.1a21dep+2
>> +0x1.92e89p+1
>> +-0x1.7b9ac4p+0
>> +0x1.66ce46p+0
>> +0x1.5f4bbcp+1
>> +0x1.668d4ap-1
>> +-0x1.a295e4p-1
>> +-0x1.1bdf4cp-4
>> +0x1.5d9048p-3
>> +-0x1.97a6e8p+0
>> +0x1.5d5c2cp-1
>> +0x1.3b3926p+1
>> +0x1.5df8b6p-2
>> +-0x1.701c4ep+1
>> +-0x1.831428p+1
>> +-0x1.091166p+0
>> +0x1.7bb7dep+0
>> +-0x1.71320ap+1
>> +-0x1.000146p+1
>> +-0x1.31ed22p-4
>> +-0x1.4b926ap+2
>> +-0x1.429b84p-2
>> +-0x1.447decp+1
>> +-0x1.9c76f6p-2
>> +0x1.7a8d26p+1
>> +-0x1.abdd4cp+0
>> +-0x1.de3accp-2
>> +0x1.8a5286p+0
>> +0x1.fda316p-5
>> +-0x1.06p+5
>> +-0x1.4be122p-1
>> +0x1.9bac1ap+1
>> +-0x1.44cfb2p+1
>> +0x1.14b2d2p+2
>> +-0x1.322fb6p-4
>> +0x1.7c65bap+1
>> +0x1.9a5056p-1
>> +0x1.16f75p+2
>> +-0x1.14c492p+0
>> +-0x1.179386p+1
>> +-0x1.f7543ep-4
>> +-0x1.282e94p+1
>> +-0x1.32391ep-4
>> +-0x1.52f73ap+1
>> +0x1.75bdb6p+1
>> +-0x1.77763p-1
>> +0x1.a5d2d6p+0
>> +0x1.827938p-1
>> +0x1.12d21cp-1
>> +-0x1.11a162p-1
>> +-0x1.3be4d8p+1
>> +0x1.49d97ep+1
>> +0x1.19b118p+2
>> +0x1.19c026p+2
>> +0x1.e3963cp-2
>> +0x1.96eb86p+1
>> +-0x1.180652p+0
>> +-0x1.59b81cp+1
>> +0x1.d6e006p-2
>> +-0x1.15d164p+1
>> +0x1.233a6ep+0
>> +-0x1.27864ep+2
>> +-0x1.30e92cp-4
>> +-0x1.2e7c2p+1
>> +-0x1.4fe7c8p+1
>> +-0x1.35eadap-4
>> +0x1.484e6p+1
>> +0x1.7938eap+1
>> +-0x1.18e616p+2
>> +-0x1.36859ep-1
>> +0x1.f4b8dp-2
>> +-0x1.863916p-2
>> +0x1.643824p+0
>> +-0x1.7568e8p+0
>> +0x1.9c885ep+1
>> +-0x1.34527cp-2
>> +-0x1.481836p-1
>> +-0x1.0f8e4ap-1
>> +-0x1.9fbb48p+1
>> +-0x1.af4f5ep+0
>> +0x1.a88166p-2
>> +-0x1.9fcf5ap-1
>> +0x1.821a5p+1
>> +0x1.ab25cep+1
>> +-0x1.224cb8p+2
>> +0x1.96a544p+1
>> +0x1.a19cb2p-4
>> +-0x1.4c92f2p-3
>> +0x1.a0b7c8p+1
>> +-0x1.499ed8p+1
>> +-0x1.2c6602p+1
>> +-0x1.e6132ap-2
>> +-0x1.7198ccp+1
>> +0x1.a93194p+1
>> +-0x1.aadde2p+1
>> +0x1.d4c3b2p-3
>> +-0x1.c22fb6p-1
>> +0x1.703a62p+0
>> +-0x1.b82142p+0
>> +0x1.735e98p+1
>> +0x1.6b8af8p+1
>> +0x1.de7796p-6
>> +-0x1.aa786cp-1
>> +-0x1.6e4dap+3
>> +-0x1.f6e0fap-2
>> +-0x1.25239p-2
>> +-0x1.25dd98p+1
>> +0x1.1fab24p-2
>> +-0x1.308cdp-4
>> +-0x1.7f6a14p+1
>> +-0x1.fadcf8p-1
>> +0x1.f166e6p-4
>> +-0x1.b37p-3
>> +0x1.6735dcp-1
>> +0x1.864b22p+1
>> +0x1.893d72p+1
>> +-0x1.2c9ddcp+1
>> +0x1.9a36acp+1
>> +0x1.1947d2p+2
>> +-0x1.2a6352p+0
>> +-0x1.d8751ap+1
>> +-0x1.b64acap-4
>> +0x1.40f61cp+1
>> +0x1.70676ep+1
>> +-0x1.1680eap-1
>> +-0x1.f6604ep+0
>> +0x1.116176p-1
>> +0x1.6549cp-1
>> +-0x1.f7aa4ap+1
>> +-0x1.2bdf2ep-2
>> +0x1.69eed8p+1
>> +0x1.f2dc02p-2
>> +0x1.a145e6p+0
>> +0x1.8083d6p+1
>> +0x1.1b9a32p+0
>> +-0x1.3c9fp+1
>> +0x1.626386p+1
>> +-0x1.457912p-2
>> +0x1.138216p+2
>> +0x1.639d8cp+1
>> +0x1.12117cp+2
>> +-0x1.4970bcp-3
>> +-0x1.f0c518p-3
>> +-0x1.9c45b8p+1
>> +0x1.8fee74p+0
>> +0x1.4143acp-1
>> +-0x1.3c5f9ap-1
>> +0x1.5cf878p-2
>> +-0x1.122a6ep-4
>> +-0x1.de549ap-6
>> +-0x1.f3800ap+0
>> +0x1.721f64p+1
>> +0x1.902a2ep+1
>> +0x1.901aaep+1
>> +-0x1.816496p-4
>> +-0x1.a83cb4p+0
>> +0x1.271acep-2
>> +0x1.0d212p+2
>> +0x1.1cdf14p-1
>> +0x1.6269e2p-2
>> +-0x1.b93846p+1
>> +-0x1.6024c2p+0
>> +-0x1.582c58p+1
>> +-0x1.712d54p+1
>> +-0x1.479afcp+0
>> +-0x1.2e518p-8
>> +0x1.1b4d6p-2
>> +0x1.08ea6ap+0
>> +-0x1.725e56p+3
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>> +0x1.9f93d4p-2
>> +-0x1.b74e3p-1
>> +0x1.8300cap+1
>> +-0x1.43973ap+1
>> +-0x1.d1cb64p+0
>> +0x1.154c14p+2
>> +0x1.e48fap-1
>> +0x1.bc715ep-2
>> +-0x1.142f68p-6
>> +-0x1.ce93ep+1
>> +-0x1.c96304p-5
>> +0x1.0cde26p+2
>>
^ permalink raw reply [flat|nested] 21+ messages in thread
* Re: [PATCH 2/5] math: Optimized generic exp10f with wrappers
2020-04-29 17:11 ` Adhemerval Zanella
@ 2020-05-20 20:18 ` Adhemerval Zanella
0 siblings, 0 replies; 21+ messages in thread
From: Adhemerval Zanella @ 2020-05-20 20:18 UTC (permalink / raw)
To: libc-alpha
Ping (x2).
On 29/04/2020 14:11, Adhemerval Zanella wrote:
> Ping.
>
> On 09/04/2020 16:59, Adhemerval Zanella wrote:
>> From: Paul Zimmermann <Paul.Zimmermann@inria.fr>
>>
>> It is inspired by expf and reuses its tables and internal functions.
>> The error checks are inlined and errno setting is in separate tail
>> called functions, but the wrappers are kept in this patch to handle
>> the _LIB_VERSION==_SVID_ case.
>>
>> Double precision arithmetics is used which is expected to be faster on
>> most targets (including soft-float) than using single precision and it
>> is easier to get good precision result with it.
>>
>> Result for x86_64 (i7-4790K CPU @ 4.00GHz) are:
>>
>> Before new code:
>> "exp10f": {
>> "": {
>> "duration": 1.00923e+09,
>> "iterations": 5.4832e+07,
>> "max": 249.361,
>> "min": 12.5,
>> "mean": 18.4059
>> }
>>
>> With new code:
>> "exp10f": {
>> "": {
>> "duration": 9.7639e+08,
>> "iterations": 8.1056e+07,
>> "max": 563.323,
>> "min": 11.54,
>> "mean": 12.0459
>> }
>>
>> Result for aarch64 (A72 @ 2GHz) are:
>>
>> Before new code:
>> "exp10f": {
>> "": {
>> "duration": 1.00923e+09,
>> "iterations": 5.4832e+07,
>> "max": 249.361,
>> "min": 12.5,
>> "mean": 18.4059
>> }
>>
>> With new code:
>> "exp10f": {
>> "": {
>> "duration": 9.7639e+08,
>> "iterations": 8.1056e+07,
>> "max": 563.323,
>> "min": 11.54,
>> "mean": 12.0459
>> }
>>
>> Checked on x86_64-linux-gnu, powerpc64le-linux-gnu, aarch64-linux-gnu,
>> and sparc64-linux-gnu.
>> ---
>> math/e_exp10f.c | 32 -----
>> sysdeps/ieee754/flt-32/e_exp10f.c | 198 +++++++++++++++++++++++++++
>> sysdeps/ieee754/flt-32/math_config.h | 2 +-
>> 3 files changed, 199 insertions(+), 33 deletions(-)
>> delete mode 100644 math/e_exp10f.c
>> create mode 100644 sysdeps/ieee754/flt-32/e_exp10f.c
>>
>> diff --git a/math/e_exp10f.c b/math/e_exp10f.c
>> deleted file mode 100644
>> index 93c41d00a6..0000000000
>> --- a/math/e_exp10f.c
>> +++ /dev/null
>> @@ -1,32 +0,0 @@
>> -/* Copyright (C) 1998-2020 Free Software Foundation, Inc.
>> - This file is part of the GNU C Library.
>> - Contributed by Ulrich Drepper <drepper@cygnus.com>, 1998.
>> -
>> - The GNU C Library is free software; you can redistribute it and/or
>> - modify it under the terms of the GNU Lesser General Public
>> - License as published by the Free Software Foundation; either
>> - version 2.1 of the License, or (at your option) any later version.
>> -
>> - The GNU C Library is distributed in the hope that it will be useful,
>> - but WITHOUT ANY WARRANTY; without even the implied warranty of
>> - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
>> - Lesser General Public License for more details.
>> -
>> - You should have received a copy of the GNU Lesser General Public
>> - License along with the GNU C Library; if not, see
>> - <https://www.gnu.org/licenses/>. */
>> -
>> -#include <math.h>
>> -#include <math_private.h>
>> -#include <libm-alias-finite.h>
>> -
>> -float
>> -__ieee754_exp10f (float arg)
>> -{
>> - /* The argument to exp needs to be calculated in enough precision
>> - that the fractional part has as much precision as float, in
>> - addition to the bits in the integer part; using double ensures
>> - this. */
>> - return __ieee754_exp (M_LN10 * arg);
>> -}
>> -libm_alias_finite (__ieee754_exp10f, __exp10f)
>> diff --git a/sysdeps/ieee754/flt-32/e_exp10f.c b/sysdeps/ieee754/flt-32/e_exp10f.c
>> new file mode 100644
>> index 0000000000..034a9e364a
>> --- /dev/null
>> +++ b/sysdeps/ieee754/flt-32/e_exp10f.c
>> @@ -0,0 +1,198 @@
>> +/* Single-precision 10^x function.
>> + Copyright (C) 2020 Free Software Foundation, Inc.
>> + This file is part of the GNU C Library.
>> +
>> + The GNU C Library is free software; you can redistribute it and/or
>> + modify it under the terms of the GNU Lesser General Public
>> + License as published by the Free Software Foundation; either
>> + version 2.1 of the License, or (at your option) any later version.
>> +
>> + The GNU C Library is distributed in the hope that it will be useful,
>> + but WITHOUT ANY WARRANTY; without even the implied warranty of
>> + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
>> + Lesser General Public License for more details.
>> +
>> + You should have received a copy of the GNU Lesser General Public
>> + License along with the GNU C Library; if not, see
>> + <https://www.gnu.org/licenses/>. */
>> +
>> +#include <math.h>
>> +#include <math-narrow-eval.h>
>> +#include <stdint.h>
>> +#include <libm-alias-finite.h>
>> +#include <libm-alias-float.h>
>> +#include "math_config.h"
>> +
>> +/*
>> + EXP2F_TABLE_BITS 5
>> + EXP2F_POLY_ORDER 3
>> +
>> + Max. ULP error: 0.502 (normal range, nearest rounding).
>> + Max. relative error: 2^-33.240 (before rounding to float).
>> + Wrong count: 169839.
>> + Non-nearest ULP error: 1 (rounded ULP error).
>> +
>> + Detailed error analysis (for EXP2F_TABLE_BITS=3 thus N=32):
>> +
>> + - We first compute z = RN(InvLn10N * x) where
>> +
>> + InvLn10N = N*log(10)/log(2) * (1 + theta1) with |theta1| < 2^-54.150
>> +
>> + since z is rounded to nearest:
>> +
>> + z = InvLn10N * x * (1 + theta2) with |theta2| < 2^-53
>> +
>> + thus z = N*log(10)/log(2) * x * (1 + theta3) with |theta3| < 2^-52.463
>> +
>> + - Since |x| < 38 in the main branch, we deduce:
>> +
>> + z = N*log(10)/log(2) * x + theta4 with |theta4| < 2^-40.483
>> +
>> + - We then write z = k + r where k is an integer and |r| <= 0.5 (exact)
>> +
>> + - We thus have
>> +
>> + x = z*log(2)/(N*log(10)) - theta4*log(2)/(N*log(10))
>> + = z*log(2)/(N*log(10)) + theta5 with |theta5| < 2^-47.215
>> +
>> + 10^x = 2^(k/N) * 2^(r/N) * 10^theta5
>> + = 2^(k/N) * 2^(r/N) * (1 + theta6) with |theta6| < 2^-46.011
>> +
>> + - Then 2^(k/N) is approximated by table lookup, the maximal relative error
>> + is for (k%N) = 5, with
>> +
>> + s = 2^(i/N) * (1 + theta7) with |theta7| < 2^-53.249
>> +
>> + - 2^(r/N) is approximated by a degree-3 polynomial, where the maximal
>> + mathematical relative error is 2^-33.243.
>> +
>> + - For C[0] * r + C[1], assuming no FMA is used, since |r| <= 0.5 and
>> + |C[0]| < 1.694e-6, |C[0] * r| < 8.47e-7, and the absolute error on
>> + C[0] * r is bounded by 1/2*ulp(8.47e-7) = 2^-74. Then we add C[1] with
>> + |C[1]| < 0.000235, thus the absolute error on C[0] * r + C[1] is bounded
>> + by 2^-65.994 (z is bounded by 0.000236).
>> +
>> + - For r2 = r * r, since |r| <= 0.5, we have |r2| <= 0.25 and the absolute
>> + error is bounded by 1/4*ulp(0.25) = 2^-56 (the factor 1/4 is because |r2|
>> + cannot exceed 1/4, and on the left of 1/4 the distance between two
>> + consecutive numbers is 1/4*ulp(1/4)).
>> +
>> + - For y = C[2] * r + 1, assuming no FMA is used, since |r| <= 0.5 and
>> + |C[2]| < 0.0217, the absolute error on C[2] * r is bounded by 2^-60,
>> + and thus the absolute error on C[2] * r + 1 is bounded by 1/2*ulp(1)+2^60
>> + < 2^-52.988, and |y| < 1.01085 (the error bound is better if a FMA is
>> + used).
>> +
>> + - for z * r2 + y: the absolute error on z is bounded by 2^-65.994, with
>> + |z| < 0.000236, and the absolute error on r2 is bounded by 2^-56, with
>> + r2 < 0.25, thus |z*r2| < 0.000059, and the absolute error on z * r2
>> + (including the rounding error) is bounded by:
>> +
>> + 2^-65.994 * 0.25 + 0.000236 * 2^-56 + 1/2*ulp(0.000059) < 2^-66.429.
>> +
>> + Now we add y, with |y| < 1.01085, and error on y bounded by 2^-52.988,
>> + thus the absolute error is bounded by:
>> +
>> + 2^-66.429 + 2^-52.988 + 1/2*ulp(1.01085) < 2^-51.993
>> +
>> + - Now we convert the error on y into relative error. Recall that y
>> + approximates 2^(r/N), for |r| <= 0.5 and N=32. Thus 2^(-0.5/32) <= y,
>> + and the relative error on y is bounded by
>> +
>> + 2^-51.993/2^(-0.5/32) < 2^-51.977
>> +
>> + - Taking into account the mathematical relative error of 2^-33.243 we have:
>> +
>> + y = 2^(r/N) * (1 + theta8) with |theta8| < 2^-33.242
>> +
>> + - Since we had s = 2^(k/N) * (1 + theta7) with |theta7| < 2^-53.249,
>> + after y = y * s we get y = 2^(k/N) * 2^(r/N) * (1 + theta9)
>> + with |theta9| < 2^-33.241
>> +
>> + - Finally, taking into account the error theta6 due to the rounding error on
>> + InvLn10N, and when multiplying InvLn10N * x, we get:
>> +
>> + y = 10^x * (1 + theta10) with |theta10| < 2^-33.240
>> +
>> + - Converting into binary64 ulps, since y < 2^53*ulp(y), the error is at most
>> + 2^19.76 ulp(y)
>> +
>> + - If the result is a binary32 value in the normal range (i.e., >= 2^-126),
>> + then the error is at most 2^-9.24 ulps, i.e., less than 0.00166 (in the
>> + subnormal range, the error in ulps might be larger).
>> +
>> + Note that this bound is tight, since for x=-0x25.54ac0p0 the final value of
>> + y (before conversion to float) differs from 879853 ulps from the correctly
>> + rounded value, and 879853 ~ 2^19.7469. */
>> +
>> +#define N (1 << EXP2F_TABLE_BITS)
>> +
>> +#define InvLn10N (0x3.5269e12f346e2p0 * N) /* log(10)/log(2) to nearest */
>> +#define T __exp2f_data.tab
>> +#define C __exp2f_data.poly_scaled
>> +#define SHIFT __exp2f_data.shift
>> +
>> +static inline uint32_t
>> +top13 (float x)
>> +{
>> + return asuint (x) >> 19;
>> +}
>> +
>> +float
>> +__ieee754_exp10f (float x)
>> +{
>> + uint32_t abstop;
>> + uint64_t ki, t;
>> + double kd, xd, z, r, r2, y, s;
>> +
>> + xd = (double) x;
>> + abstop = top13 (x) & 0xfff; /* Ignore sign. */
>> + if (__glibc_unlikely (abstop >= top13 (38.0f)))
>> + {
>> + /* |x| >= 38 or x is nan. */
>> + if (asuint (x) == asuint (-INFINITY))
>> + return 0.0f;
>> + if (abstop >= top13 (INFINITY))
>> + return x + x;
>> + /* 0x26.8826ap0 is the largest value such that 10^x < 2^128. */
>> + if (x > 0x26.8826ap0f)
>> + return __math_oflowf (0);
>> + /* -0x2d.278d4p0 is the smallest value such that 10^x > 2^-150. */
>> + if (x < -0x2d.278d4p0f)
>> + return __math_uflowf (0);
>> +#if WANT_ERRNO_UFLOW
>> + if (x < -0x2c.da7cfp0)
>> + return __math_may_uflowf (0);
>> +#endif
>> + /* the smallest value such that 10^x >= 2^-126 (normal range)
>> + is x = -0x25.ee060p0 */
>> + /* we go through here for 2014929 values out of 2060451840
>> + (not counting NaN and infinities, i.e., about 0.1% */
>> + }
>> +
>> + /* x*N*Ln10/Ln2 = k + r with r in [-1/2, 1/2] and int k. */
>> + z = InvLn10N * xd;
>> + /* |xd| < 38 thus |z| < 1216 */
>> +#if TOINT_INTRINSICS
>> + kd = roundtoint (z);
>> + ki = converttoint (z);
>> +#else
>> +# define SHIFT __exp2f_data.shift
>> + kd = math_narrow_eval ((double) (z + SHIFT)); /* Needs to be double. */
>> + ki = asuint64 (kd);
>> + kd -= SHIFT;
>> +#endif
>> + r = z - kd;
>> +
>> + /* 10^x = 10^(k/N) * 10^(r/N) ~= s * (C0*r^3 + C1*r^2 + C2*r + 1) */
>> + t = T[ki % N];
>> + t += ki << (52 - EXP2F_TABLE_BITS);
>> + s = asdouble (t);
>> + z = C[0] * r + C[1];
>> + r2 = r * r;
>> + y = C[2] * r + 1;
>> + y = z * r2 + y;
>> + y = y * s;
>> + return (float) y;
>> +}
>> +libm_alias_finite (__ieee754_exp10f, __exp10f)
>> diff --git a/sysdeps/ieee754/flt-32/math_config.h b/sysdeps/ieee754/flt-32/math_config.h
>> index bf79274ce7..4817e500e1 100644
>> --- a/sysdeps/ieee754/flt-32/math_config.h
>> +++ b/sysdeps/ieee754/flt-32/math_config.h
>> @@ -109,7 +109,7 @@ attribute_hidden float __math_may_uflowf (uint32_t);
>> attribute_hidden float __math_divzerof (uint32_t);
>> attribute_hidden float __math_invalidf (float);
>>
>> -/* Shared between expf, exp2f and powf. */
>> +/* Shared between expf, exp2f, exp10f, and powf. */
>> #define EXP2F_TABLE_BITS 5
>> #define EXP2F_POLY_ORDER 3
>> extern const struct exp2f_data
>>
^ permalink raw reply [flat|nested] 21+ messages in thread
* Re: [PATCH 3/5] i386: Use generic exp10f
2020-04-29 17:11 ` Adhemerval Zanella
@ 2020-05-20 20:19 ` Adhemerval Zanella
0 siblings, 0 replies; 21+ messages in thread
From: Adhemerval Zanella @ 2020-05-20 20:19 UTC (permalink / raw)
To: libc-alpha
Ping (x2).
On 29/04/2020 14:11, Adhemerval Zanella wrote:
> Ping.
>
> On 09/04/2020 16:59, Adhemerval Zanella wrote:
>> The generic implementation is twice as fast. Using the exp10f
>> benchmark:
>>
>> * master:
>> "exp10f": {
>> "": {
>> "duration": 4.25753e+09,
>> "iterations": 3.3376e+07,
>> "max": 1414.77,
>> "min": 103.649,
>> "mean": 127.563
>> }
>> }
>>
>> * patched:
>> "exp10f": {
>> "": {
>> "duration": 4.05755e+09,
>> "iterations": 6.9136e+07,
>> "max": 1489.64,
>> "min": 50.95,
>> "mean": 58.6894
>> }
>> }
>>
>> Checked on i686-linux-gnu.
>> ---
>> sysdeps/i386/fpu/e_exp10f.S | 54 -------------------------------------
>> 1 file changed, 54 deletions(-)
>> delete mode 100644 sysdeps/i386/fpu/e_exp10f.S
>>
>> diff --git a/sysdeps/i386/fpu/e_exp10f.S b/sysdeps/i386/fpu/e_exp10f.S
>> deleted file mode 100644
>> index 196ce8744a..0000000000
>> --- a/sysdeps/i386/fpu/e_exp10f.S
>> +++ /dev/null
>> @@ -1,54 +0,0 @@
>> -/*
>> - * Written by Ulrich Drepper.
>> - */
>> -
>> -#include <machine/asm.h>
>> -#include <i386-math-asm.h>
>> -#include <libm-alias-finite.h>
>> -
>> -DEFINE_FLT_MIN
>> -
>> -#ifdef PIC
>> -# define MO(op) op##@GOTOFF(%ecx)
>> -#else
>> -# define MO(op) op
>> -#endif
>> -
>> - .text
>> -/* 10^x = 2^(x * log2(10)) */
>> -ENTRY(__ieee754_exp10f)
>> -#ifdef PIC
>> - LOAD_PIC_REG (cx)
>> -#endif
>> - flds 4(%esp)
>> -/* I added the following ugly construct because exp(+-Inf) resulted
>> - in NaN. The ugliness results from the bright minds at Intel.
>> - For the i686 the code can be written better.
>> - -- drepper@cygnus.com. */
>> - fxam /* Is NaN or +-Inf? */
>> - fstsw %ax
>> - movb $0x45, %dh
>> - andb %ah, %dh
>> - cmpb $0x05, %dh
>> - je 1f /* Is +-Inf, jump. */
>> - fldl2t
>> - fmulp /* x * log2(10) */
>> - fld %st
>> - frndint /* int(x * log2(10)) */
>> - fsubr %st,%st(1) /* fract(x * log2(10)) */
>> - fxch
>> - f2xm1 /* 2^(fract(x * log2(10))) - 1 */
>> - fld1
>> - faddp /* 2^(fract(x * log2(10))) */
>> - fscale /* e^x */
>> - fstp %st(1)
>> - FLT_NARROW_EVAL_UFLOW_NONNEG_NAN
>> - ret
>> -
>> -1: testl $0x200, %eax /* Test sign. */
>> - jz 2f /* If positive, jump. */
>> - fstp %st
>> - fldz /* Set result to 0. */
>> -2: ret
>> -END (__ieee754_exp10f)
>> -libm_alias_finite (__ieee754_exp10f, __exp10f)
>>
^ permalink raw reply [flat|nested] 21+ messages in thread
* Re: [PATCH 4/5] New exp10f version without SVID compat wrapper
2020-04-29 17:11 ` Adhemerval Zanella
@ 2020-05-20 20:19 ` Adhemerval Zanella
0 siblings, 0 replies; 21+ messages in thread
From: Adhemerval Zanella @ 2020-05-20 20:19 UTC (permalink / raw)
To: libc-alpha
Ping (x2).
On 29/04/2020 14:11, Adhemerval Zanella wrote:
> Ping.
>
> On 09/04/2020 16:59, Adhemerval Zanella wrote:
>> This patch changes the exp10f error handling semantics to only set
>> errno according to POSIX rules. New symbol version is introduced at
>> GLIBC_2.32. The old wrappers are kept for compat symbols.
>>
>> There are some outliers that need special handling:
>>
>> - ia64 provides an optimized implementation of exp10f that uses ia64
>> specific routines to set SVID compatibility. The new symbol version
>> is aliased to the exp10f one.
>>
>> - m68k also provides an optimized implementation, and the new version
>> uses it instead of the sysdeps/ieee754/flt32 one.
>>
>> - riscv and csky uses the generic template implementation that
>> does not provide SVID support. For both cases a new exp10f
>> version is not added, but rather the symbols version of the
>> generic sysdeps/ieee754/flt32 is adjusted instead.
>>
>> Checked on aarch64-linux-gnu, x86_64-linux-gnu, i686-linux-gnu,
>> powerpc64le-linux-gnu.
>> ---
>> math/Versions | 3 +++
>> math/w_exp10f.c | 1 +
>> math/w_exp10f_compat.c | 8 ++++----
>> sysdeps/ia64/fpu/e_exp10f.S | 12 +++++++++---
>> sysdeps/ieee754/flt-32/e_exp10f.c | 16 +++++++++++++++-
>> sysdeps/m68k/m680x0/fpu/e_exp10f.c | 5 +++++
>> sysdeps/mach/hurd/i386/libm.abilist | 1 +
>> sysdeps/unix/sysv/linux/aarch64/libm.abilist | 1 +
>> sysdeps/unix/sysv/linux/alpha/libm.abilist | 1 +
>> sysdeps/unix/sysv/linux/arm/be/libm.abilist | 1 +
>> sysdeps/unix/sysv/linux/arm/le/libm.abilist | 1 +
>> sysdeps/unix/sysv/linux/hppa/libm.abilist | 1 +
>> sysdeps/unix/sysv/linux/i386/libm.abilist | 1 +
>> sysdeps/unix/sysv/linux/ia64/libm.abilist | 1 +
>> .../unix/sysv/linux/m68k/coldfire/libm.abilist | 1 +
>> sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist | 1 +
>> .../unix/sysv/linux/microblaze/be/libm.abilist | 1 +
>> .../unix/sysv/linux/microblaze/le/libm.abilist | 1 +
>> sysdeps/unix/sysv/linux/mips/mips32/libm.abilist | 1 +
>> sysdeps/unix/sysv/linux/mips/mips64/libm.abilist | 1 +
>> sysdeps/unix/sysv/linux/nios2/libm.abilist | 1 +
>> .../linux/powerpc/powerpc32/fpu/libm.abilist | 1 +
>> .../sysv/linux/powerpc/powerpc64/be/libm.abilist | 1 +
>> .../sysv/linux/powerpc/powerpc64/le/libm.abilist | 1 +
>> .../unix/sysv/linux/s390/s390-32/libm.abilist | 1 +
>> .../unix/sysv/linux/s390/s390-64/libm.abilist | 1 +
>> sysdeps/unix/sysv/linux/sh/be/libm.abilist | 1 +
>> sysdeps/unix/sysv/linux/sh/le/libm.abilist | 1 +
>> .../unix/sysv/linux/sparc/sparc32/libm.abilist | 1 +
>> .../unix/sysv/linux/sparc/sparc64/libm.abilist | 1 +
>> sysdeps/unix/sysv/linux/x86_64/64/libm.abilist | 1 +
>> sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist | 1 +
>> 32 files changed, 63 insertions(+), 8 deletions(-)
>> create mode 100644 math/w_exp10f.c
>>
>> diff --git a/math/Versions b/math/Versions
>> index d892c5f911..5b3c321490 100644
>> --- a/math/Versions
>> +++ b/math/Versions
>> @@ -590,4 +590,7 @@ libm {
>> totalorderf128;
>> totalordermagf128;
>> }
>> + GLIBC_2.32 {
>> + exp10f;
>> + }
>> }
>> diff --git a/math/w_exp10f.c b/math/w_exp10f.c
>> new file mode 100644
>> index 0000000000..6e25b021ab
>> --- /dev/null
>> +++ b/math/w_exp10f.c
>> @@ -0,0 +1 @@
>> +/* Empty. */
>> diff --git a/math/w_exp10f_compat.c b/math/w_exp10f_compat.c
>> index 2ab0940601..ea8f947193 100644
>> --- a/math/w_exp10f_compat.c
>> +++ b/math/w_exp10f_compat.c
>> @@ -28,9 +28,9 @@
>>
>> #if LIBM_SVID_COMPAT
>> float
>> -__exp10f (float x)
>> +__exp10f_compat (float x)
>> {
>> - float z = __ieee754_exp10f (x);
>> + float z = __exp10f (x);
>> if (__builtin_expect (!isfinite (z) || z == 0, 0)
>> && isfinite (x) && _LIB_VERSION != _IEEE_)
>> /* exp10f overflow (146) if x > 0, underflow (147) if x < 0. */
>> @@ -38,9 +38,9 @@ __exp10f (float x)
>>
>> return z;
>> }
>> -libm_alias_float (__exp10, exp10)
>> +compat_symbol (libm, __exp10f_compat, exp10f, GLIBC_2_1);
>> # if SHLIB_COMPAT (libm, GLIBC_2_1, GLIBC_2_27)
>> -strong_alias (__exp10f, __pow10f)
>> +strong_alias (__exp10f_compat, __pow10f)
>> compat_symbol (libm, __pow10f, pow10f, GLIBC_2_1);
>> # endif
>> #endif
>> diff --git a/sysdeps/ia64/fpu/e_exp10f.S b/sysdeps/ia64/fpu/e_exp10f.S
>> index 67218c737f..e82394b725 100644
>> --- a/sysdeps/ia64/fpu/e_exp10f.S
>> +++ b/sysdeps/ia64/fpu/e_exp10f.S
>> @@ -218,7 +218,7 @@ LOCAL_OBJECT_END(T_table)
>>
>>
>> .section .text
>> -GLOBAL_IEEE754_ENTRY(exp10f)
>> +GLOBAL_IEEE754_ENTRY(__exp10f)
>>
>>
>> {.mfi
>> @@ -487,11 +487,17 @@ OUT_RANGE_exp10:
>> }
>> ;;
>>
>> -GLOBAL_IEEE754_END(exp10f)
>> +GLOBAL_IEEE754_END(__exp10f)
>> libm_alias_float_other (__exp10, exp10)
>> #if SHLIB_COMPAT (libm, GLIBC_2_1, GLIBC_2_27)
>> -compat_symbol (libm, exp10f, pow10f, GLIBC_2_2)
>> +strong_alias (__exp10f, __pow10f_compat)
>> +compat_symbol (libm, __pow10f_compat, pow10f, GLIBC_2_2)
>> #endif
>> +#if SHLIB_COMPAT (libm, GLIBC_2_1, GLIBC_2_32)
>> +strong_alias (__exp10f, __exp10f_compat)
>> +compat_symbol (libm, __exp10f_compat, exp10f, GLIBC_2_1)
>> +#endif
>> +versioned_symbol (libm, __exp10f, exp10f, GLIBC_2_32)
>>
>>
>> LOCAL_LIBM_ENTRY(__libm_error_region)
>> diff --git a/sysdeps/ieee754/flt-32/e_exp10f.c b/sysdeps/ieee754/flt-32/e_exp10f.c
>> index 034a9e364a..f51c499b83 100644
>> --- a/sysdeps/ieee754/flt-32/e_exp10f.c
>> +++ b/sysdeps/ieee754/flt-32/e_exp10f.c
>> @@ -21,6 +21,8 @@
>> #include <stdint.h>
>> #include <libm-alias-finite.h>
>> #include <libm-alias-float.h>
>> +#include <shlib-compat.h>
>> +#include <math-svid-compat.h>
>> #include "math_config.h"
>>
>> /*
>> @@ -139,7 +141,7 @@ top13 (float x)
>> }
>>
>> float
>> -__ieee754_exp10f (float x)
>> +__exp10f (float x)
>> {
>> uint32_t abstop;
>> uint64_t ki, t;
>> @@ -195,4 +197,16 @@ __ieee754_exp10f (float x)
>> y = y * s;
>> return (float) y;
>> }
>> +#ifndef __exp10f
>> +strong_alias (__exp10f, __ieee754_exp10f)
>> libm_alias_finite (__ieee754_exp10f, __exp10f)
>> +/* For architectures that already provided exp10f without SVID support, there
>> + is no need to add a new version. */
>> +#if !LIBM_SVID_COMPAT
>> +# define EXP10F_VERSION GLIBC_2_26
>> +#else
>> +# define EXP10F_VERSION GLIBC_2_32
>> +#endif
>> +versioned_symbol (libm, __exp10f, exp10f, EXP10F_VERSION);
>> +libm_alias_float_other (__exp10, exp10)
>> +#endif
>> diff --git a/sysdeps/m68k/m680x0/fpu/e_exp10f.c b/sysdeps/m68k/m680x0/fpu/e_exp10f.c
>> index f58fddd8a6..0d03f00e06 100644
>> --- a/sysdeps/m68k/m680x0/fpu/e_exp10f.c
>> +++ b/sysdeps/m68k/m680x0/fpu/e_exp10f.c
>> @@ -1,3 +1,8 @@
>> +#include <libm-alias-float.h>
>> #define FUNC __ieee754_exp10f
>> #define FUNC_FINITE __exp10f
>> #include <e_acosf.c>
>> +strong_alias (__ieee754_exp10f, __exp10f)
>> +libm_alias_finite (__ieee754_exp10f, __exp10f)
>> +versioned_symbol (libm, __exp10f, exp10f, GLIBC_2_32);
>> +libm_alias_float_other (__ieee754_exp10, exp10)
>> diff --git a/sysdeps/mach/hurd/i386/libm.abilist b/sysdeps/mach/hurd/i386/libm.abilist
>> index 1a41ae589f..a19a69ce6a 100644
>> --- a/sysdeps/mach/hurd/i386/libm.abilist
>> +++ b/sysdeps/mach/hurd/i386/libm.abilist
>> @@ -1089,3 +1089,4 @@ GLIBC_2.31 totalordermagf32x F
>> GLIBC_2.31 totalordermagf64 F
>> GLIBC_2.31 totalordermagf64x F
>> GLIBC_2.31 totalordermagl F
>> +GLIBC_2.32 exp10f F
>> diff --git a/sysdeps/unix/sysv/linux/aarch64/libm.abilist b/sysdeps/unix/sysv/linux/aarch64/libm.abilist
>> index 62e1fee467..5362c24e4c 100644
>> --- a/sysdeps/unix/sysv/linux/aarch64/libm.abilist
>> +++ b/sysdeps/unix/sysv/linux/aarch64/libm.abilist
>> @@ -1053,3 +1053,4 @@ GLIBC_2.31 totalordermagf32x F
>> GLIBC_2.31 totalordermagf64 F
>> GLIBC_2.31 totalordermagf64x F
>> GLIBC_2.31 totalordermagl F
>> +GLIBC_2.32 exp10f F
>> diff --git a/sysdeps/unix/sysv/linux/alpha/libm.abilist b/sysdeps/unix/sysv/linux/alpha/libm.abilist
>> index 08ac3905a0..650d10ec8e 100644
>> --- a/sysdeps/unix/sysv/linux/alpha/libm.abilist
>> +++ b/sysdeps/unix/sysv/linux/alpha/libm.abilist
>> @@ -1110,6 +1110,7 @@ GLIBC_2.31 totalordermagf32x F
>> GLIBC_2.31 totalordermagf64 F
>> GLIBC_2.31 totalordermagf64x F
>> GLIBC_2.31 totalordermagl F
>> +GLIBC_2.32 exp10f F
>> GLIBC_2.4 __clog10l F
>> GLIBC_2.4 __finitel F
>> GLIBC_2.4 __fpclassifyl F
>> diff --git a/sysdeps/unix/sysv/linux/arm/be/libm.abilist b/sysdeps/unix/sysv/linux/arm/be/libm.abilist
>> index dd5931f288..6914b58d76 100644
>> --- a/sysdeps/unix/sysv/linux/arm/be/libm.abilist
>> +++ b/sysdeps/unix/sysv/linux/arm/be/libm.abilist
>> @@ -470,6 +470,7 @@ GLIBC_2.31 totalordermagf32 F
>> GLIBC_2.31 totalordermagf32x F
>> GLIBC_2.31 totalordermagf64 F
>> GLIBC_2.31 totalordermagl F
>> +GLIBC_2.32 exp10f F
>> GLIBC_2.4 _LIB_VERSION D 0x4
>> GLIBC_2.4 __clog10 F
>> GLIBC_2.4 __clog10f F
>> diff --git a/sysdeps/unix/sysv/linux/arm/le/libm.abilist b/sysdeps/unix/sysv/linux/arm/le/libm.abilist
>> index dd5931f288..6914b58d76 100644
>> --- a/sysdeps/unix/sysv/linux/arm/le/libm.abilist
>> +++ b/sysdeps/unix/sysv/linux/arm/le/libm.abilist
>> @@ -470,6 +470,7 @@ GLIBC_2.31 totalordermagf32 F
>> GLIBC_2.31 totalordermagf32x F
>> GLIBC_2.31 totalordermagf64 F
>> GLIBC_2.31 totalordermagl F
>> +GLIBC_2.32 exp10f F
>> GLIBC_2.4 _LIB_VERSION D 0x4
>> GLIBC_2.4 __clog10 F
>> GLIBC_2.4 __clog10f F
>> diff --git a/sysdeps/unix/sysv/linux/hppa/libm.abilist b/sysdeps/unix/sysv/linux/hppa/libm.abilist
>> index e7686d71cf..6ac2295b05 100644
>> --- a/sysdeps/unix/sysv/linux/hppa/libm.abilist
>> +++ b/sysdeps/unix/sysv/linux/hppa/libm.abilist
>> @@ -781,4 +781,5 @@ GLIBC_2.31 totalordermagf32 F
>> GLIBC_2.31 totalordermagf32x F
>> GLIBC_2.31 totalordermagf64 F
>> GLIBC_2.31 totalordermagl F
>> +GLIBC_2.32 exp10f F
>> GLIBC_2.4 exp2l F
>> diff --git a/sysdeps/unix/sysv/linux/i386/libm.abilist b/sysdeps/unix/sysv/linux/i386/libm.abilist
>> index e67f9d7d27..0ab740dd97 100644
>> --- a/sysdeps/unix/sysv/linux/i386/libm.abilist
>> +++ b/sysdeps/unix/sysv/linux/i386/libm.abilist
>> @@ -1096,3 +1096,4 @@ GLIBC_2.31 totalordermagf32x F
>> GLIBC_2.31 totalordermagf64 F
>> GLIBC_2.31 totalordermagf64x F
>> GLIBC_2.31 totalordermagl F
>> +GLIBC_2.32 exp10f F
>> diff --git a/sysdeps/unix/sysv/linux/ia64/libm.abilist b/sysdeps/unix/sysv/linux/ia64/libm.abilist
>> index 0cf637f248..c8e8fd7142 100644
>> --- a/sysdeps/unix/sysv/linux/ia64/libm.abilist
>> +++ b/sysdeps/unix/sysv/linux/ia64/libm.abilist
>> @@ -1026,3 +1026,4 @@ GLIBC_2.31 totalordermagf32x F
>> GLIBC_2.31 totalordermagf64 F
>> GLIBC_2.31 totalordermagf64x F
>> GLIBC_2.31 totalordermagl F
>> +GLIBC_2.32 exp10f F
>> diff --git a/sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist b/sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist
>> index dd5931f288..6914b58d76 100644
>> --- a/sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist
>> +++ b/sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist
>> @@ -470,6 +470,7 @@ GLIBC_2.31 totalordermagf32 F
>> GLIBC_2.31 totalordermagf32x F
>> GLIBC_2.31 totalordermagf64 F
>> GLIBC_2.31 totalordermagl F
>> +GLIBC_2.32 exp10f F
>> GLIBC_2.4 _LIB_VERSION D 0x4
>> GLIBC_2.4 __clog10 F
>> GLIBC_2.4 __clog10f F
>> diff --git a/sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist b/sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist
>> index f0b17ae485..c60fdc6298 100644
>> --- a/sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist
>> +++ b/sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist
>> @@ -821,3 +821,4 @@ GLIBC_2.31 totalordermagf32 F
>> GLIBC_2.31 totalordermagf32x F
>> GLIBC_2.31 totalordermagf64 F
>> GLIBC_2.31 totalordermagl F
>> +GLIBC_2.32 exp10f F
>> diff --git a/sysdeps/unix/sysv/linux/microblaze/be/libm.abilist b/sysdeps/unix/sysv/linux/microblaze/be/libm.abilist
>> index 8dedc9a8a6..adea0fe4c0 100644
>> --- a/sysdeps/unix/sysv/linux/microblaze/be/libm.abilist
>> +++ b/sysdeps/unix/sysv/linux/microblaze/be/libm.abilist
>> @@ -782,3 +782,4 @@ GLIBC_2.31 totalordermagf32 F
>> GLIBC_2.31 totalordermagf32x F
>> GLIBC_2.31 totalordermagf64 F
>> GLIBC_2.31 totalordermagl F
>> +GLIBC_2.32 exp10f F
>> diff --git a/sysdeps/unix/sysv/linux/microblaze/le/libm.abilist b/sysdeps/unix/sysv/linux/microblaze/le/libm.abilist
>> index 8dedc9a8a6..adea0fe4c0 100644
>> --- a/sysdeps/unix/sysv/linux/microblaze/le/libm.abilist
>> +++ b/sysdeps/unix/sysv/linux/microblaze/le/libm.abilist
>> @@ -782,3 +782,4 @@ GLIBC_2.31 totalordermagf32 F
>> GLIBC_2.31 totalordermagf32x F
>> GLIBC_2.31 totalordermagf64 F
>> GLIBC_2.31 totalordermagl F
>> +GLIBC_2.32 exp10f F
>> diff --git a/sysdeps/unix/sysv/linux/mips/mips32/libm.abilist b/sysdeps/unix/sysv/linux/mips/mips32/libm.abilist
>> index a221d7be09..272969a26f 100644
>> --- a/sysdeps/unix/sysv/linux/mips/mips32/libm.abilist
>> +++ b/sysdeps/unix/sysv/linux/mips/mips32/libm.abilist
>> @@ -781,4 +781,5 @@ GLIBC_2.31 totalordermagf32 F
>> GLIBC_2.31 totalordermagf32x F
>> GLIBC_2.31 totalordermagf64 F
>> GLIBC_2.31 totalordermagl F
>> +GLIBC_2.32 exp10f F
>> GLIBC_2.4 exp2l F
>> diff --git a/sysdeps/unix/sysv/linux/mips/mips64/libm.abilist b/sysdeps/unix/sysv/linux/mips/mips64/libm.abilist
>> index 823f87277e..dd0dc6689c 100644
>> --- a/sysdeps/unix/sysv/linux/mips/mips64/libm.abilist
>> +++ b/sysdeps/unix/sysv/linux/mips/mips64/libm.abilist
>> @@ -1053,3 +1053,4 @@ GLIBC_2.31 totalordermagf32x F
>> GLIBC_2.31 totalordermagf64 F
>> GLIBC_2.31 totalordermagf64x F
>> GLIBC_2.31 totalordermagl F
>> +GLIBC_2.32 exp10f F
>> diff --git a/sysdeps/unix/sysv/linux/nios2/libm.abilist b/sysdeps/unix/sysv/linux/nios2/libm.abilist
>> index 64ac932c6a..4941deefa6 100644
>> --- a/sysdeps/unix/sysv/linux/nios2/libm.abilist
>> +++ b/sysdeps/unix/sysv/linux/nios2/libm.abilist
>> @@ -782,3 +782,4 @@ GLIBC_2.31 totalordermagf32 F
>> GLIBC_2.31 totalordermagf32x F
>> GLIBC_2.31 totalordermagf64 F
>> GLIBC_2.31 totalordermagl F
>> +GLIBC_2.32 exp10f F
>> diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist b/sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist
>> index 3fab31ff9c..fc2d142bd5 100644
>> --- a/sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist
>> +++ b/sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist
>> @@ -827,6 +827,7 @@ GLIBC_2.31 totalordermagf32 F
>> GLIBC_2.31 totalordermagf32x F
>> GLIBC_2.31 totalordermagf64 F
>> GLIBC_2.31 totalordermagl F
>> +GLIBC_2.32 exp10f F
>> GLIBC_2.4 __clog10l F
>> GLIBC_2.4 __finitel F
>> GLIBC_2.4 __fpclassifyl F
>> diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc64/be/libm.abilist b/sysdeps/unix/sysv/linux/powerpc/powerpc64/be/libm.abilist
>> index 1369ab510c..972c9bc597 100644
>> --- a/sysdeps/unix/sysv/linux/powerpc/powerpc64/be/libm.abilist
>> +++ b/sysdeps/unix/sysv/linux/powerpc/powerpc64/be/libm.abilist
>> @@ -820,6 +820,7 @@ GLIBC_2.31 totalordermagf32 F
>> GLIBC_2.31 totalordermagf32x F
>> GLIBC_2.31 totalordermagf64 F
>> GLIBC_2.31 totalordermagl F
>> +GLIBC_2.32 exp10f F
>> GLIBC_2.4 __clog10l F
>> GLIBC_2.4 __finitel F
>> GLIBC_2.4 __fpclassifyl F
>> diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc64/le/libm.abilist b/sysdeps/unix/sysv/linux/powerpc/powerpc64/le/libm.abilist
>> index d479a64fca..1ce52ea277 100644
>> --- a/sysdeps/unix/sysv/linux/powerpc/powerpc64/le/libm.abilist
>> +++ b/sysdeps/unix/sysv/linux/powerpc/powerpc64/le/libm.abilist
>> @@ -1097,3 +1097,4 @@ GLIBC_2.31 totalordermagf32x F
>> GLIBC_2.31 totalordermagf64 F
>> GLIBC_2.31 totalordermagf64x F
>> GLIBC_2.31 totalordermagl F
>> +GLIBC_2.32 exp10f F
>> diff --git a/sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist b/sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist
>> index cd6be8e584..321810d5a4 100644
>> --- a/sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist
>> +++ b/sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist
>> @@ -1054,6 +1054,7 @@ GLIBC_2.31 totalordermagf32x F
>> GLIBC_2.31 totalordermagf64 F
>> GLIBC_2.31 totalordermagf64x F
>> GLIBC_2.31 totalordermagl F
>> +GLIBC_2.32 exp10f F
>> GLIBC_2.4 __clog10l F
>> GLIBC_2.4 __finitel F
>> GLIBC_2.4 __fpclassifyl F
>> diff --git a/sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist b/sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist
>> index 5291424feb..451a860a83 100644
>> --- a/sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist
>> +++ b/sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist
>> @@ -1054,6 +1054,7 @@ GLIBC_2.31 totalordermagf32x F
>> GLIBC_2.31 totalordermagf64 F
>> GLIBC_2.31 totalordermagf64x F
>> GLIBC_2.31 totalordermagl F
>> +GLIBC_2.32 exp10f F
>> GLIBC_2.4 __clog10l F
>> GLIBC_2.4 __finitel F
>> GLIBC_2.4 __fpclassifyl F
>> diff --git a/sysdeps/unix/sysv/linux/sh/be/libm.abilist b/sysdeps/unix/sysv/linux/sh/be/libm.abilist
>> index de0f1c57c3..a5fb514eae 100644
>> --- a/sysdeps/unix/sysv/linux/sh/be/libm.abilist
>> +++ b/sysdeps/unix/sysv/linux/sh/be/libm.abilist
>> @@ -781,4 +781,5 @@ GLIBC_2.31 totalordermagf32 F
>> GLIBC_2.31 totalordermagf32x F
>> GLIBC_2.31 totalordermagf64 F
>> GLIBC_2.31 totalordermagl F
>> +GLIBC_2.32 exp10f F
>> GLIBC_2.4 exp2l F
>> diff --git a/sysdeps/unix/sysv/linux/sh/le/libm.abilist b/sysdeps/unix/sysv/linux/sh/le/libm.abilist
>> index de0f1c57c3..a5fb514eae 100644
>> --- a/sysdeps/unix/sysv/linux/sh/le/libm.abilist
>> +++ b/sysdeps/unix/sysv/linux/sh/le/libm.abilist
>> @@ -781,4 +781,5 @@ GLIBC_2.31 totalordermagf32 F
>> GLIBC_2.31 totalordermagf32x F
>> GLIBC_2.31 totalordermagf64 F
>> GLIBC_2.31 totalordermagl F
>> +GLIBC_2.32 exp10f F
>> GLIBC_2.4 exp2l F
>> diff --git a/sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist b/sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist
>> index fc52ebf64e..d81e8a726b 100644
>> --- a/sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist
>> +++ b/sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist
>> @@ -1061,6 +1061,7 @@ GLIBC_2.31 totalordermagf32x F
>> GLIBC_2.31 totalordermagf64 F
>> GLIBC_2.31 totalordermagf64x F
>> GLIBC_2.31 totalordermagl F
>> +GLIBC_2.32 exp10f F
>> GLIBC_2.4 __clog10l F
>> GLIBC_2.4 __finitel F
>> GLIBC_2.4 __fpclassifyl F
>> diff --git a/sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist b/sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist
>> index 5288a28533..3d12376d33 100644
>> --- a/sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist
>> +++ b/sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist
>> @@ -1053,3 +1053,4 @@ GLIBC_2.31 totalordermagf32x F
>> GLIBC_2.31 totalordermagf64 F
>> GLIBC_2.31 totalordermagf64x F
>> GLIBC_2.31 totalordermagl F
>> +GLIBC_2.32 exp10f F
>> diff --git a/sysdeps/unix/sysv/linux/x86_64/64/libm.abilist b/sysdeps/unix/sysv/linux/x86_64/64/libm.abilist
>> index d620e465d2..89c4ac484d 100644
>> --- a/sysdeps/unix/sysv/linux/x86_64/64/libm.abilist
>> +++ b/sysdeps/unix/sysv/linux/x86_64/64/libm.abilist
>> @@ -1087,3 +1087,4 @@ GLIBC_2.31 totalordermagf32x F
>> GLIBC_2.31 totalordermagf64 F
>> GLIBC_2.31 totalordermagf64x F
>> GLIBC_2.31 totalordermagl F
>> +GLIBC_2.32 exp10f F
>> diff --git a/sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist b/sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist
>> index 44b0eddc50..d3c9cec71a 100644
>> --- a/sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist
>> +++ b/sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist
>> @@ -1087,3 +1087,4 @@ GLIBC_2.31 totalordermagf32x F
>> GLIBC_2.31 totalordermagf64 F
>> GLIBC_2.31 totalordermagf64x F
>> GLIBC_2.31 totalordermagl F
>> +GLIBC_2.32 exp10f F
>>
^ permalink raw reply [flat|nested] 21+ messages in thread
* Re: [PATCH 5/5] ia64: Use generic exp10f
2020-04-29 17:11 ` Adhemerval Zanella
@ 2020-05-20 20:19 ` Adhemerval Zanella
0 siblings, 0 replies; 21+ messages in thread
From: Adhemerval Zanella @ 2020-05-20 20:19 UTC (permalink / raw)
To: libc-alpha
Ping (x2).
On 29/04/2020 14:11, Adhemerval Zanella wrote:
> Ping.
>
> On 09/04/2020 16:59, Adhemerval Zanella wrote:
>> The generic implementation is slight worse (Itanium(R) Processor 9020):
>>
>> Before new code:
>> "exp10f": {
>> "": {
>> "duration": 3.52876e+08,
>> "iterations": 2.1456e+07,
>> "max": 232.907,
>> "min": 7.766,
>> "mean": 16.4465
>> }
>> }
>>
>> With new code:
>> "exp10f": {
>> "": {
>> "duration": 3.67279e+08,
>> "iterations": 2.1456e+07,
>> "max": 220.718,
>> "min": 15.503,
>> "mean": 17.1178
>> }
>> }
>>
>> However it fixes all the issues on both:
>>
>> math/test-float-exp10
>> math/test-float32-exp10
>>
>> (all the issues wrong results for non default rounding modes).
>>
>> Checked on ia64-linux-gnu.
>> ---
>> sysdeps/ia64/fpu/e_exp10f.S | 568 -----------------------------
>> sysdeps/ia64/fpu/e_exp2f_data.c | 1 -
>> sysdeps/ia64/fpu/libm-test-ulps | 3 +
>> sysdeps/ia64/fpu/math_errf.c | 1 -
>> sysdeps/ia64/fpu/w_exp10f.c | 1 -
>> sysdeps/ia64/fpu/w_exp10f_compat.c | 1 -
>> 6 files changed, 3 insertions(+), 572 deletions(-)
>> delete mode 100644 sysdeps/ia64/fpu/e_exp10f.S
>> delete mode 100644 sysdeps/ia64/fpu/e_exp2f_data.c
>> delete mode 100644 sysdeps/ia64/fpu/math_errf.c
>> delete mode 100644 sysdeps/ia64/fpu/w_exp10f.c
>> delete mode 100644 sysdeps/ia64/fpu/w_exp10f_compat.c
>>
>> diff --git a/sysdeps/ia64/fpu/e_exp10f.S b/sysdeps/ia64/fpu/e_exp10f.S
>> deleted file mode 100644
>> index e82394b725..0000000000
>> --- a/sysdeps/ia64/fpu/e_exp10f.S
>> +++ /dev/null
>> @@ -1,568 +0,0 @@
>> -.file "exp10f.s"
>> -
>> -
>> -// Copyright (c) 2000 - 2005, Intel Corporation
>> -// All rights reserved.
>> -//
>> -// Contributed 2000 by the Intel Numerics Group, Intel Corporation
>> -//
>> -// Redistribution and use in source and binary forms, with or without
>> -// modification, are permitted provided that the following conditions are
>> -// met:
>> -//
>> -// * Redistributions of source code must retain the above copyright
>> -// notice, this list of conditions and the following disclaimer.
>> -//
>> -// * Redistributions in binary form must reproduce the above copyright
>> -// notice, this list of conditions and the following disclaimer in the
>> -// documentation and/or other materials provided with the distribution.
>> -//
>> -// * The name of Intel Corporation may not be used to endorse or promote
>> -// products derived from this software without specific prior written
>> -// permission.
>> -
>> -// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
>> -// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
>> -// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
>> -// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
>> -// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
>> -// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
>> -// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
>> -// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
>> -// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
>> -// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
>> -// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
>> -//
>> -// Intel Corporation is the author of this code, and requests that all
>> -// problem reports or change requests be submitted to it directly at
>> -// http://www.intel.com/software/products/opensource/libraries/num.htm.
>> -//
>> -// History
>> -//==============================================================
>> -// 08/25/00 Initial version
>> -// 05/20/02 Cleaned up namespace and sf0 syntax
>> -// 09/06/02 Improved performance and accuracy; no inexact flags on exact cases
>> -// 01/29/03 Added missing } to bundle templates
>> -// 12/16/04 Call error handling on underflow.
>> -// 03/31/05 Reformatted delimiters between data tables
>> -//
>> -// API
>> -//==============================================================
>> -// float exp10f(float)
>> -//
>> -// Overview of operation
>> -//==============================================================
>> -// Background
>> -//
>> -// Implementation
>> -//
>> -// Let x= (K + fh + fl + r)/log2(10), where
>> -// K is an integer, fh= 0.b1 b2 b3 b4 b5,
>> -// fl= 2^{-5}* 0.b6 b7 b8 b8 b10 (fh, fl >= 0),
>> -// and |r|<2^{-11}
>> -// Th is a table that stores 2^fh (32 entries) rounded to
>> -// double extended precision (only mantissa is stored)
>> -// Tl is a table that stores 2^fl (32 entries) rounded to
>> -// double extended precision (only mantissa is stored)
>> -//
>> -// 10^x is approximated as
>> -// 2^K * Th [ f ] * Tl [ f ] * (1+c1*r+c2*r^2)
>> -
>> -// Note there are only 10 non-zero values that produce an exact result:
>> -// 1.0, 2.0, ... 10.0.
>> -// We test for these cases and use s1 to avoid setting the inexact flag.
>> -
>> -// Special values
>> -//==============================================================
>> -// exp10(0)= 1
>> -// exp10(+inf)= inf
>> -// exp10(-inf)= 0
>> -//
>> -
>> -// Registers used
>> -//==============================================================
>> -// r2-r3, r14-r40
>> -// f6-f15, f32-f52
>> -// p6-p12
>> -//
>> -
>> -#include <shlib-compat.h>
>> -
>> -
>> -GR_TBL_START = r2
>> -GR_LOG_TBL = r3
>> -
>> -GR_OF_LIMIT = r14
>> -GR_UF_LIMIT = r15
>> -GR_EXP_CORR = r16
>> -GR_F_low = r17
>> -GR_F_high = r18
>> -GR_K = r19
>> -GR_Flow_ADDR = r20
>> -
>> -GR_BIAS = r21
>> -GR_Fh = r22
>> -GR_Fh_ADDR = r23
>> -GR_EXPMAX = r24
>> -
>> -GR_ROUNDVAL = r26
>> -GR_SNORM_LIMIT = r26
>> -GR_MASK = r27
>> -GR_KF0 = r28
>> -GR_MASK_low = r29
>> -GR_COEFF_START = r30
>> -GR_exact_limit = r31
>> -
>> -GR_SAVE_B0 = r33
>> -GR_SAVE_PFS = r34
>> -GR_SAVE_GP = r35
>> -GR_SAVE_SP = r36
>> -
>> -GR_Parameter_X = r37
>> -GR_Parameter_Y = r38
>> -GR_Parameter_RESULT = r39
>> -GR_Parameter_TAG = r40
>> -
>> -
>> -FR_X = f10
>> -FR_Y = f1
>> -FR_RESULT = f8
>> -
>> -
>> -FR_COEFF1 = f6
>> -FR_COEFF2 = f7
>> -FR_R = f9
>> -FR_LOG2_10 = f10
>> -
>> -FR_2P53 = f11
>> -FR_KF0 = f12
>> -FR_COEFF3 = f13
>> -FR_COEFF4 = f14
>> -FR_UF_LIMIT = f15
>> -
>> -FR_OF_LIMIT = f32
>> -FR_DX_L210 = f33
>> -FR_ROUNDVAL = f34
>> -FR_KF = f35
>> -
>> -FR_2_TO_K = f36
>> -FR_T_low = f37
>> -FR_T_high = f38
>> -
>> -FR_P12 = f41
>> -FR_T_low_K = f42
>> -FR_T = f44
>> -FR_P = f45
>> -
>> -FR_E = f49
>> -FR_exact_limit = f50
>> -
>> -FR_int_x = f51
>> -FR_SNORM_LIMIT = f52
>> -
>> -
>> -// Data tables
>> -//==============================================================
>> -
>> -RODATA
>> -
>> -.align 16
>> -
>> -LOCAL_OBJECT_START(poly_coeffs)
>> -
>> -data8 0xd49a784bcd1b8afe, 0x00003fcb // log2(10)*2^(10-63)
>> -data8 0xb17217f7d1cf79ab, 0x00004033 // C_1 * 2^53
>> -data8 0xf5fdeffc162c7541, 0x00004066 // C_2 * 2^106
>> -LOCAL_OBJECT_END(poly_coeffs)
>> -
>> -
>> -LOCAL_OBJECT_START(T_table)
>> -
>> -// 2^{0.00000 b6 b7 b8 b9 b10}
>> -data8 0x8000000000000000, 0x8016302f17467628
>> -data8 0x802c6436d0e04f50, 0x80429c17d77c18ed
>> -data8 0x8058d7d2d5e5f6b0, 0x806f17687707a7af
>> -data8 0x80855ad965e88b83, 0x809ba2264dada76a
>> -data8 0x80b1ed4fd999ab6c, 0x80c83c56b50cf77f
>> -data8 0x80de8f3b8b85a0af, 0x80f4e5ff089f763e
>> -data8 0x810b40a1d81406d4, 0x81219f24a5baa59d
>> -data8 0x813801881d886f7b, 0x814e67cceb90502c
>> -data8 0x8164d1f3bc030773, 0x817b3ffd3b2f2e47
>> -data8 0x8191b1ea15813bfd, 0x81a827baf7838b78
>> -data8 0x81bea1708dde6055, 0x81d51f0b8557ec1c
>> -data8 0x81eba08c8ad4536f, 0x820225f44b55b33b
>> -data8 0x8218af4373fc25eb, 0x822f3c7ab205c89a
>> -data8 0x8245cd9ab2cec048, 0x825c62a423d13f0c
>> -data8 0x8272fb97b2a5894c, 0x828998760d01faf3
>> -data8 0x82a0393fe0bb0ca8, 0x82b6ddf5dbc35906
>> -//
>> -// 2^{0.b1 b2 b3 b4 b5}
>> -data8 0x8000000000000000, 0x82cd8698ac2ba1d7
>> -data8 0x85aac367cc487b14, 0x88980e8092da8527
>> -data8 0x8b95c1e3ea8bd6e6, 0x8ea4398b45cd53c0
>> -data8 0x91c3d373ab11c336, 0x94f4efa8fef70961
>> -data8 0x9837f0518db8a96f, 0x9b8d39b9d54e5538
>> -data8 0x9ef5326091a111ad, 0xa27043030c496818
>> -data8 0xa5fed6a9b15138ea, 0xa9a15ab4ea7c0ef8
>> -data8 0xad583eea42a14ac6, 0xb123f581d2ac258f
>> -data8 0xb504f333f9de6484, 0xb8fbaf4762fb9ee9
>> -data8 0xbd08a39f580c36be, 0xc12c4cca66709456
>> -data8 0xc5672a115506dadd, 0xc9b9bd866e2f27a2
>> -data8 0xce248c151f8480e3, 0xd2a81d91f12ae45a
>> -data8 0xd744fccad69d6af4, 0xdbfbb797daf23755
>> -data8 0xe0ccdeec2a94e111, 0xe5b906e77c8348a8
>> -data8 0xeac0c6e7dd24392e, 0xefe4b99bdcdaf5cb
>> -data8 0xf5257d152486cc2c, 0xfa83b2db722a033a
>> -LOCAL_OBJECT_END(T_table)
>> -
>> -
>> -
>> -.section .text
>> -GLOBAL_IEEE754_ENTRY(__exp10f)
>> -
>> -
>> -{.mfi
>> - alloc r32= ar.pfs, 1, 4, 4, 0
>> - // will continue only for non-zero normal/denormal numbers
>> - fclass.nm.unc p12, p7= f8, 0x1b
>> - nop.i 0
>> -}
>> -{.mlx
>> - // GR_TBL_START= pointer to log2(10), C_1...C_4 followed by T_table
>> - addl GR_TBL_START= @ltoff(poly_coeffs), gp
>> - movl GR_ROUNDVAL= 0x3fc00000 // 1.5 (SP)
>> -}
>> -;;
>> -
>> -{.mfi
>> - ld8 GR_COEFF_START= [ GR_TBL_START ] // Load pointer to coeff table
>> - fcmp.lt.s1 p6, p8= f8, f0 // X<0 ?
>> - nop.i 0
>> -}
>> -;;
>> -
>> -{.mlx
>> - nop.m 0
>> - movl GR_UF_LIMIT= 0xc2349e35 // (-2^7-22) / log2(10)
>> -}
>> -{.mlx
>> - setf.s FR_ROUNDVAL= GR_ROUNDVAL
>> - movl GR_OF_LIMIT= 0x421a209a // Overflow threshold
>> -}
>> -;;
>> -
>> -{.mlx
>> - ldfe FR_LOG2_10= [ GR_COEFF_START ], 16 // load log2(10)*2^(10-63)
>> - movl GR_SNORM_LIMIT= 0xc217b818 // Smallest normal threshold
>> -}
>> -{.mib
>> - nop.m 0
>> - nop.i 0
>> - (p12) br.cond.spnt SPECIAL_exp10 // Branch if nan, inf, zero
>> -}
>> -;;
>> -
>> -{.mfi
>> - setf.s FR_OF_LIMIT= GR_OF_LIMIT // Set overflow limit
>> - fma.s0 f8= f8, f1, f0 // normalize x
>> - nop.i 0
>> -}
>> -;;
>> -
>> -{.mfi
>> - setf.s FR_SNORM_LIMIT= GR_SNORM_LIMIT // Set smallest normal limit
>> - (p8) fcvt.fx.s1 FR_int_x = f8 // Convert x to integer
>> - nop.i 0
>> -}
>> -{.mfi
>> - setf.s FR_UF_LIMIT= GR_UF_LIMIT // Set underflow limit
>> - fma.s1 FR_KF0= f8, FR_LOG2_10, FR_ROUNDVAL // y= (x*log2(10)*2^10 +
>> - // 1.5*2^63) * 2^(-63)
>> - mov GR_EXP_CORR= 0xffff-126
>> -}
>> -;;
>> -
>> -{.mfi
>> - ldfe FR_COEFF1= [ GR_COEFF_START ], 16 // load C_1
>> - fms.s1 FR_KF= FR_KF0, f1, FR_ROUNDVAL // (K+f)*2^(10-63)
>> - mov GR_MASK= 1023
>> -}
>> -;;
>> -
>> -{.mfi
>> - ldfe FR_COEFF2= [ GR_COEFF_START ], 16 // load C_2
>> - nop.f 0
>> - mov GR_MASK_low= 31
>> -}
>> -;;
>> -
>> -{.mlx
>> - getf.sig GR_KF0= FR_KF0 // (K+f)*2^10= round_to_int(y)
>> - (p8) movl GR_exact_limit= 0x41200000 // Largest x for exact result,
>> - // +10.0
>> -}
>> -;;
>> -
>> -{.mfi
>> - add GR_LOG_TBL= 256, GR_COEFF_START // Pointer to high T_table
>> - fcmp.gt.s1 p12, p7= f8, FR_OF_LIMIT // x>overflow threshold ?
>> - nop.i 0
>> -}
>> -;;
>> -
>> -{.mfi
>> - (p8) setf.s FR_exact_limit = GR_exact_limit // Largest x for exact result
>> - (p8) fcvt.xf FR_int_x = FR_int_x // Integral part of x
>> - shr GR_K= GR_KF0, 10 // K
>> -}
>> -{.mfi
>> - and GR_F_high= GR_MASK, GR_KF0 // f_high*32
>> - fms.s1 FR_R= f8, FR_LOG2_10, FR_KF // r*2^(-53)= [ x*log2(10)-
>> - // (K+f) ] *2^{10-63}
>> - and GR_F_low= GR_KF0, GR_MASK_low // f_low
>> -}
>> -;;
>> -
>> -{.mmi
>> - shladd GR_Flow_ADDR= GR_F_low, 3, GR_COEFF_START // address of 2^{f_low}
>> - add GR_BIAS= GR_K, GR_EXP_CORR // K= bias-2*63
>> - shr GR_Fh= GR_F_high, 5 // f_high
>> -}
>> -;;
>> -
>> -{.mfi
>> - setf.exp FR_2_TO_K= GR_BIAS // 2^{K-126}
>> - (p7) fcmp.lt.s1 p12, p7= f8, FR_UF_LIMIT // x<underflow threshold ?
>> - shladd GR_Fh_ADDR= GR_Fh, 3, GR_LOG_TBL // address of 2^{f_high}
>> -}
>> -{.mfi
>> - ldf8 FR_T_low= [ GR_Flow_ADDR ] // load T_low= 2^{f_low}
>> - nop.f 0
>> - nop.i 0
>> -}
>> -;;
>> -
>> -{.mfb
>> - ldf8 FR_T_high= [ GR_Fh_ADDR ] // load T_high= 2^{f_high}
>> - fcmp.ge.s1 p11, p0= f8, FR_SNORM_LIMIT // Test x for normal range
>> - (p12) br.cond.spnt OUT_RANGE_exp10
>> -}
>> -;;
>> -
>> -{.mfi
>> - nop.m 0
>> - fma.s1 FR_P12= FR_COEFF2, FR_R, FR_COEFF1 // P12= C_1+C_2*r
>> - cmp.eq p7,p9= r0,r0 // Assume inexact result
>> -}
>> -;;
>> -
>> -{.mfi
>> - nop.m 0
>> - (p8) fcmp.eq.s1 p9,p7= FR_int_x, f8 // Test x positive integer
>> - nop.i 0
>> -}
>> -{.mfi
>> - nop.m 0
>> - fma.s1 FR_T_low_K= FR_T_low, FR_2_TO_K, f0 // T= 2^{K-126}*T_low
>> - nop.i 0
>> -}
>> -;;
>> -
>> -{.mfi
>> - nop.m 0
>> - fma.s1 FR_P= FR_P12, FR_R, f0 // P= P12*r
>> - nop.i 0
>> -}
>> -;;
>> -
>> -// If x a positive integer, will it produce an exact result?
>> -// p7 result will be inexact
>> -// p9 result will be exact
>> -{.mfi
>> - nop.m 0
>> - (p9) fcmp.le.s1 p9,p7= f8, FR_exact_limit // Test x gives exact result
>> - nop.i 0
>> -}
>> -{.mfi
>> - nop.m 0
>> - fma.s1 FR_T= FR_T_low_K, FR_T_high, f0 // T= T*T_high
>> - nop.i 0
>> -}
>> -;;
>> -
>> -.pred.rel "mutex",p7,p9
>> -{.mfi
>> - nop.m 0
>> - (p7) fma.s.s0 f8= FR_P, FR_T, FR_T // result= T+T*P, inexact set
>> - nop.i 0
>> -}
>> -{.mfb
>> - nop.m 0
>> - (p9) fma.s.s1 f8= FR_P, FR_T, FR_T // result= T+T*P, exact use s1
>> - (p11) br.ret.sptk b0 // return, if result normal
>> -}
>> -;;
>> -
>> -// Here if result in denormal range (and not zero)
>> -{.mib
>> - nop.m 0
>> - mov GR_Parameter_TAG= 266
>> - br.cond.sptk __libm_error_region // Branch to error handling
>> -}
>> -;;
>> -
>> -SPECIAL_exp10:
>> -{.mfi
>> - nop.m 0
>> - fclass.m p6, p0= f8, 0x22 // x= -Infinity ?
>> - nop.i 0
>> -}
>> -;;
>> -
>> -{.mfi
>> - nop.m 0
>> - fclass.m p7, p0= f8, 0x21 // x= +Infinity ?
>> - nop.i 0
>> -}
>> -;;
>> -
>> -{.mfi
>> - nop.m 0
>> - fclass.m p8, p0= f8, 0x7 // x= +/-Zero ?
>> - nop.i 0
>> -}
>> -{.mfb
>> - nop.m 0
>> - (p6) mov f8= f0 // exp10(-Infinity)= 0
>> - (p6) br.ret.spnt b0
>> -}
>> -;;
>> -
>> -{.mfb
>> - nop.m 0
>> - nop.f 0
>> - (p7) br.ret.spnt b0 // exp10(+Infinity)= +Infinity
>> -}
>> -;;
>> -
>> -{.mfb
>> - nop.m 0
>> - (p8) mov f8= f1 // exp10(+/-0)= 1
>> - (p8) br.ret.spnt b0
>> -}
>> -;;
>> -
>> -{.mfb
>> - nop.m 0
>> - fma.s.s0 f8= f8, f1, f0 // Remaining cases: NaNs
>> - br.ret.sptk b0
>> -}
>> -;;
>> -
>> -
>> -OUT_RANGE_exp10:
>> -
>> -// underflow: p6= 1
>> -// overflow: p8= 1
>> -
>> -.pred.rel "mutex",p6,p8
>> -{.mmi
>> - (p8) mov GR_EXPMAX= 0x1fffe
>> - (p6) mov GR_EXPMAX= 1
>> - nop.i 0
>> -}
>> -;;
>> -
>> -{.mii
>> - setf.exp FR_R= GR_EXPMAX
>> - (p8) mov GR_Parameter_TAG= 167
>> - (p6) mov GR_Parameter_TAG= 266
>> -}
>> -;;
>> -
>> -{.mfb
>> - nop.m 0
>> - fma.s.s0 f8= FR_R, FR_R, f0 // Create overflow/underflow
>> - br.cond.sptk __libm_error_region // Branch to error handling
>> -}
>> -;;
>> -
>> -GLOBAL_IEEE754_END(__exp10f)
>> -libm_alias_float_other (__exp10, exp10)
>> -#if SHLIB_COMPAT (libm, GLIBC_2_1, GLIBC_2_27)
>> -strong_alias (__exp10f, __pow10f_compat)
>> -compat_symbol (libm, __pow10f_compat, pow10f, GLIBC_2_2)
>> -#endif
>> -#if SHLIB_COMPAT (libm, GLIBC_2_1, GLIBC_2_32)
>> -strong_alias (__exp10f, __exp10f_compat)
>> -compat_symbol (libm, __exp10f_compat, exp10f, GLIBC_2_1)
>> -#endif
>> -versioned_symbol (libm, __exp10f, exp10f, GLIBC_2_32)
>> -
>> -
>> -LOCAL_LIBM_ENTRY(__libm_error_region)
>> -
>> -.prologue
>> -{.mfi
>> - add GR_Parameter_Y= -32, sp // Parameter 2 value
>> - nop.f 0
>> -.save ar.pfs, GR_SAVE_PFS
>> - mov GR_SAVE_PFS= ar.pfs // Save ar.pfs
>> -}
>> -
>> -{.mfi
>> -.fframe 64
>> - add sp= -64, sp // Create new stack
>> - nop.f 0
>> - mov GR_SAVE_GP= gp // Save gp
>> -}
>> -;;
>> -
>> -{.mmi
>> - stfs [ GR_Parameter_Y ]= FR_Y, 16 // STORE Parameter 2 on stack
>> - add GR_Parameter_X= 16, sp // Parameter 1 address
>> -.save b0, GR_SAVE_B0
>> - mov GR_SAVE_B0= b0 // Save b0
>> -}
>> -;;
>> -
>> -.body
>> -{.mib
>> - stfs [ GR_Parameter_X ]= FR_X // STORE Parameter 1 on stack
>> - add GR_Parameter_RESULT= 0, GR_Parameter_Y // Parameter 3 address
>> - nop.b 0
>> -}
>> -{.mib
>> - stfs [ GR_Parameter_Y ]= FR_RESULT // STORE Parameter 3 on stack
>> - add GR_Parameter_Y= -16, GR_Parameter_Y
>> - br.call.sptk b0= __libm_error_support# // Call error handling function
>> -}
>> -;;
>> -
>> -{.mmi
>> - add GR_Parameter_RESULT= 48, sp
>> - nop.m 0
>> - nop.i 0
>> -}
>> -;;
>> -
>> -{.mmi
>> - ldfs f8= [ GR_Parameter_RESULT ] // Get return result off stack
>> -.restore sp
>> - add sp= 64, sp // Restore stack pointer
>> - mov b0= GR_SAVE_B0 // Restore return address
>> -}
>> -;;
>> -
>> -{.mib
>> - mov gp= GR_SAVE_GP // Restore gp
>> - mov ar.pfs= GR_SAVE_PFS // Restore ar.pfs
>> - br.ret.sptk b0 // Return
>> -}
>> -;;
>> -
>> -
>> -LOCAL_LIBM_END(__libm_error_region)
>> -
>> -.type __libm_error_support#, @function
>> -.global __libm_error_support#
>> diff --git a/sysdeps/ia64/fpu/e_exp2f_data.c b/sysdeps/ia64/fpu/e_exp2f_data.c
>> deleted file mode 100644
>> index 1cc8931700..0000000000
>> --- a/sysdeps/ia64/fpu/e_exp2f_data.c
>> +++ /dev/null
>> @@ -1 +0,0 @@
>> -/* Not needed. */
>> diff --git a/sysdeps/ia64/fpu/libm-test-ulps b/sysdeps/ia64/fpu/libm-test-ulps
>> index d0cab46c3b..249dd9e7e5 100644
>> --- a/sysdeps/ia64/fpu/libm-test-ulps
>> +++ b/sysdeps/ia64/fpu/libm-test-ulps
>> @@ -1057,12 +1057,15 @@ float: 1
>> float128: 2
>>
>> Function: "exp10_downward":
>> +float: 1
>> float128: 3
>>
>> Function: "exp10_towardzero":
>> +float: 1
>> float128: 3
>>
>> Function: "exp10_upward":
>> +float: 1
>> float128: 3
>>
>> Function: "exp2":
>> diff --git a/sysdeps/ia64/fpu/math_errf.c b/sysdeps/ia64/fpu/math_errf.c
>> deleted file mode 100644
>> index 1cc8931700..0000000000
>> --- a/sysdeps/ia64/fpu/math_errf.c
>> +++ /dev/null
>> @@ -1 +0,0 @@
>> -/* Not needed. */
>> diff --git a/sysdeps/ia64/fpu/w_exp10f.c b/sysdeps/ia64/fpu/w_exp10f.c
>> deleted file mode 100644
>> index 1cc8931700..0000000000
>> --- a/sysdeps/ia64/fpu/w_exp10f.c
>> +++ /dev/null
>> @@ -1 +0,0 @@
>> -/* Not needed. */
>> diff --git a/sysdeps/ia64/fpu/w_exp10f_compat.c b/sysdeps/ia64/fpu/w_exp10f_compat.c
>> deleted file mode 100644
>> index 41254ae60a..0000000000
>> --- a/sysdeps/ia64/fpu/w_exp10f_compat.c
>> +++ /dev/null
>> @@ -1 +0,0 @@
>> -/* Not needed. */
>>
^ permalink raw reply [flat|nested] 21+ messages in thread
* [PATCH 2/5] math: Optimized generic exp10f with wrappers
@ 2020-06-18 16:44 Wilco Dijkstra
0 siblings, 0 replies; 21+ messages in thread
From: Wilco Dijkstra @ 2020-06-18 16:44 UTC (permalink / raw)
To: Adhemerval Zanella; +Cc: 'GNU C Library', paul zimmermann
Hi,
This looks good (I like the extra comments with the bounds), OK with adding
the missing 'f' on the float constant below.
Wilco
math/e_exp10f.c | 32 -----
sysdeps/ieee754/flt-32/e_exp10f.c | 198 +++++++++++++++++++++++++++
sysdeps/ieee754/flt-32/math_config.h | 2 +-
3 files changed, 199 insertions(+), 33 deletions(-)
delete mode 100644 math/e_exp10f.c
create mode 100644 sysdeps/ieee754/flt-32/e_exp10f.c
diff --git a/math/e_exp10f.c b/math/e_exp10f.c
deleted file mode 100644
index 93c41d00a6..0000000000
--- a/math/e_exp10f.c
+++ /dev/null
@@ -1,32 +0,0 @@
-/* Copyright (C) 1998-2020 Free Software Foundation, Inc.
- This file is part of the GNU C Library.
- Contributed by Ulrich Drepper <drepper@cygnus.com>, 1998.
-
- The GNU C Library is free software; you can redistribute it and/or
- modify it under the terms of the GNU Lesser General Public
- License as published by the Free Software Foundation; either
- version 2.1 of the License, or (at your option) any later version.
-
- The GNU C Library is distributed in the hope that it will be useful,
- but WITHOUT ANY WARRANTY; without even the implied warranty of
- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
- Lesser General Public License for more details.
-
- You should have received a copy of the GNU Lesser General Public
- License along with the GNU C Library; if not, see
- <https://www.gnu.org/licenses/>. */
-
-#include <math.h>
-#include <math_private.h>
-#include <libm-alias-finite.h>
-
-float
-__ieee754_exp10f (float arg)
-{
- /* The argument to exp needs to be calculated in enough precision
- that the fractional part has as much precision as float, in
- addition to the bits in the integer part; using double ensures
- this. */
- return __ieee754_exp (M_LN10 * arg);
-}
-libm_alias_finite (__ieee754_exp10f, __exp10f)
OK
diff --git a/sysdeps/ieee754/flt-32/e_exp10f.c b/sysdeps/ieee754/flt-32/e_exp10f.c
new file mode 100644
index 0000000000..034a9e364a
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/e_exp10f.c
@@ -0,0 +1,198 @@
+/* Single-precision 10^x function.
+ Copyright (C) 2020 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Lesser General Public
+ License as published by the Free Software Foundation; either
+ version 2.1 of the License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with the GNU C Library; if not, see
+ <https://www.gnu.org/licenses/>. */
+
+#include <math.h>
+#include <math-narrow-eval.h>
+#include <stdint.h>
+#include <libm-alias-finite.h>
+#include <libm-alias-float.h>
+#include "math_config.h"
+
+/*
+ EXP2F_TABLE_BITS 5
+ EXP2F_POLY_ORDER 3
+
+ Max. ULP error: 0.502 (normal range, nearest rounding).
+ Max. relative error: 2^-33.240 (before rounding to float).
+ Wrong count: 169839.
+ Non-nearest ULP error: 1 (rounded ULP error).
+
+ Detailed error analysis (for EXP2F_TABLE_BITS=3 thus N=32):
+
+ - We first compute z = RN(InvLn10N * x) where
+
+ InvLn10N = N*log(10)/log(2) * (1 + theta1) with |theta1| < 2^-54.150
+
+ since z is rounded to nearest:
+
+ z = InvLn10N * x * (1 + theta2) with |theta2| < 2^-53
+
+ thus z = N*log(10)/log(2) * x * (1 + theta3) with |theta3| < 2^-52.463
+
+ - Since |x| < 38 in the main branch, we deduce:
+
+ z = N*log(10)/log(2) * x + theta4 with |theta4| < 2^-40.483
+
+ - We then write z = k + r where k is an integer and |r| <= 0.5 (exact)
+
+ - We thus have
+
+ x = z*log(2)/(N*log(10)) - theta4*log(2)/(N*log(10))
+ = z*log(2)/(N*log(10)) + theta5 with |theta5| < 2^-47.215
+
+ 10^x = 2^(k/N) * 2^(r/N) * 10^theta5
+ = 2^(k/N) * 2^(r/N) * (1 + theta6) with |theta6| < 2^-46.011
+
+ - Then 2^(k/N) is approximated by table lookup, the maximal relative error
+ is for (k%N) = 5, with
+
+ s = 2^(i/N) * (1 + theta7) with |theta7| < 2^-53.249
+
+ - 2^(r/N) is approximated by a degree-3 polynomial, where the maximal
+ mathematical relative error is 2^-33.243.
+
+ - For C[0] * r + C[1], assuming no FMA is used, since |r| <= 0.5 and
+ |C[0]| < 1.694e-6, |C[0] * r| < 8.47e-7, and the absolute error on
+ C[0] * r is bounded by 1/2*ulp(8.47e-7) = 2^-74. Then we add C[1] with
+ |C[1]| < 0.000235, thus the absolute error on C[0] * r + C[1] is bounded
+ by 2^-65.994 (z is bounded by 0.000236).
+
+ - For r2 = r * r, since |r| <= 0.5, we have |r2| <= 0.25 and the absolute
+ error is bounded by 1/4*ulp(0.25) = 2^-56 (the factor 1/4 is because |r2|
+ cannot exceed 1/4, and on the left of 1/4 the distance between two
+ consecutive numbers is 1/4*ulp(1/4)).
+
+ - For y = C[2] * r + 1, assuming no FMA is used, since |r| <= 0.5 and
+ |C[2]| < 0.0217, the absolute error on C[2] * r is bounded by 2^-60,
+ and thus the absolute error on C[2] * r + 1 is bounded by 1/2*ulp(1)+2^60
+ < 2^-52.988, and |y| < 1.01085 (the error bound is better if a FMA is
+ used).
+
+ - for z * r2 + y: the absolute error on z is bounded by 2^-65.994, with
+ |z| < 0.000236, and the absolute error on r2 is bounded by 2^-56, with
+ r2 < 0.25, thus |z*r2| < 0.000059, and the absolute error on z * r2
+ (including the rounding error) is bounded by:
+
+ 2^-65.994 * 0.25 + 0.000236 * 2^-56 + 1/2*ulp(0.000059) < 2^-66.429.
+
+ Now we add y, with |y| < 1.01085, and error on y bounded by 2^-52.988,
+ thus the absolute error is bounded by:
+
+ 2^-66.429 + 2^-52.988 + 1/2*ulp(1.01085) < 2^-51.993
+
+ - Now we convert the error on y into relative error. Recall that y
+ approximates 2^(r/N), for |r| <= 0.5 and N=32. Thus 2^(-0.5/32) <= y,
+ and the relative error on y is bounded by
+
+ 2^-51.993/2^(-0.5/32) < 2^-51.977
+
+ - Taking into account the mathematical relative error of 2^-33.243 we have:
+
+ y = 2^(r/N) * (1 + theta8) with |theta8| < 2^-33.242
+
+ - Since we had s = 2^(k/N) * (1 + theta7) with |theta7| < 2^-53.249,
+ after y = y * s we get y = 2^(k/N) * 2^(r/N) * (1 + theta9)
+ with |theta9| < 2^-33.241
+
+ - Finally, taking into account the error theta6 due to the rounding error on
+ InvLn10N, and when multiplying InvLn10N * x, we get:
+
+ y = 10^x * (1 + theta10) with |theta10| < 2^-33.240
+
+ - Converting into binary64 ulps, since y < 2^53*ulp(y), the error is at most
+ 2^19.76 ulp(y)
+
+ - If the result is a binary32 value in the normal range (i.e., >= 2^-126),
+ then the error is at most 2^-9.24 ulps, i.e., less than 0.00166 (in the
+ subnormal range, the error in ulps might be larger).
+
+ Note that this bound is tight, since for x=-0x25.54ac0p0 the final value of
+ y (before conversion to float) differs from 879853 ulps from the correctly
+ rounded value, and 879853 ~ 2^19.7469. */
+
+#define N (1 << EXP2F_TABLE_BITS)
+
+#define InvLn10N (0x3.5269e12f346e2p0 * N) /* log(10)/log(2) to nearest */
+#define T __exp2f_data.tab
+#define C __exp2f_data.poly_scaled
+#define SHIFT __exp2f_data.shift
+
+static inline uint32_t
+top13 (float x)
+{
+ return asuint (x) >> 19;
+}
+
+float
+__ieee754_exp10f (float x)
+{
+ uint32_t abstop;
+ uint64_t ki, t;
+ double kd, xd, z, r, r2, y, s;
+
+ xd = (double) x;
+ abstop = top13 (x) & 0xfff; /* Ignore sign. */
+ if (__glibc_unlikely (abstop >= top13 (38.0f)))
+ {
+ /* |x| >= 38 or x is nan. */
+ if (asuint (x) == asuint (-INFINITY))
+ return 0.0f;
+ if (abstop >= top13 (INFINITY))
+ return x + x;
+ /* 0x26.8826ap0 is the largest value such that 10^x < 2^128. */
+ if (x > 0x26.8826ap0f)
+ return __math_oflowf (0);
+ /* -0x2d.278d4p0 is the smallest value such that 10^x > 2^-150. */
+ if (x < -0x2d.278d4p0f)
+ return __math_uflowf (0);
+#if WANT_ERRNO_UFLOW
+ if (x < -0x2c.da7cfp0)
This is missing an 'f' on the float constant.
+ return __math_may_uflowf (0);
+#endif
+ /* the smallest value such that 10^x >= 2^-126 (normal range)
+ is x = -0x25.ee060p0 */
+ /* we go through here for 2014929 values out of 2060451840
+ (not counting NaN and infinities, i.e., about 0.1% */
+ }
+
+ /* x*N*Ln10/Ln2 = k + r with r in [-1/2, 1/2] and int k. */
+ z = InvLn10N * xd;
+ /* |xd| < 38 thus |z| < 1216 */
+#if TOINT_INTRINSICS
+ kd = roundtoint (z);
+ ki = converttoint (z);
+#else
+# define SHIFT __exp2f_data.shift
+ kd = math_narrow_eval ((double) (z + SHIFT)); /* Needs to be double. */
+ ki = asuint64 (kd);
+ kd -= SHIFT;
+#endif
+ r = z - kd;
+
+ /* 10^x = 10^(k/N) * 10^(r/N) ~= s * (C0*r^3 + C1*r^2 + C2*r + 1) */
+ t = T[ki % N];
+ t += ki << (52 - EXP2F_TABLE_BITS);
+ s = asdouble (t);
+ z = C[0] * r + C[1];
+ r2 = r * r;
+ y = C[2] * r + 1;
+ y = z * r2 + y;
+ y = y * s;
+ return (float) y;
+}
+libm_alias_finite (__ieee754_exp10f, __exp10f)
OK
diff --git a/sysdeps/ieee754/flt-32/math_config.h b/sysdeps/ieee754/flt-32/math_config.h
index bf79274ce7..4817e500e1 100644
--- a/sysdeps/ieee754/flt-32/math_config.h
+++ b/sysdeps/ieee754/flt-32/math_config.h
@@ -109,7 +109,7 @@ attribute_hidden float __math_may_uflowf (uint32_t);
attribute_hidden float __math_divzerof (uint32_t);
attribute_hidden float __math_invalidf (float);
-/* Shared between expf, exp2f and powf. */
+/* Shared between expf, exp2f, exp10f, and powf. */
#define EXP2F_TABLE_BITS 5
#define EXP2F_POLY_ORDER 3
extern const struct exp2f_data
OK
^ permalink raw reply [flat|nested] 21+ messages in thread
end of thread, other threads:[~2020-06-18 16:44 UTC | newest]
Thread overview: 21+ messages (download: mbox.gz / follow: Atom feed)
-- links below jump to the message on this page --
2020-04-09 19:59 [PATCH 1/5] benchtests: Add exp10f benchmark Adhemerval Zanella
2020-04-09 19:59 ` [PATCH 2/5] math: Optimized generic exp10f with wrappers Adhemerval Zanella
2020-04-10 6:32 ` paul zimmermann
2020-04-16 20:42 ` Adhemerval Zanella
2020-04-29 17:11 ` Adhemerval Zanella
2020-05-20 20:18 ` Adhemerval Zanella
2020-04-09 19:59 ` [PATCH 3/5] i386: Use generic exp10f Adhemerval Zanella
2020-04-29 17:11 ` Adhemerval Zanella
2020-05-20 20:19 ` Adhemerval Zanella
2020-04-09 19:59 ` [PATCH 4/5] New exp10f version without SVID compat wrapper Adhemerval Zanella
2020-04-29 17:11 ` Adhemerval Zanella
2020-05-20 20:19 ` Adhemerval Zanella
2020-04-09 19:59 ` [PATCH 5/5] ia64: Use generic exp10f Adhemerval Zanella
2020-04-09 21:18 ` Joseph Myers
2020-04-16 20:52 ` Adhemerval Zanella
2020-04-29 17:11 ` Adhemerval Zanella
2020-05-20 20:19 ` Adhemerval Zanella
2020-04-16 20:41 ` [PATCH 1/5] benchtests: Add exp10f benchmark Adhemerval Zanella
2020-04-29 17:11 ` Adhemerval Zanella
2020-05-20 20:18 ` Adhemerval Zanella
2020-06-18 16:44 [PATCH 2/5] math: Optimized generic exp10f with wrappers Wilco Dijkstra
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