mirror of
git://sourceware.org/git/glibc.git
synced 2024-11-27 03:41:23 +08:00
x86-64: Replace assembly versions of e_expf with generic e_expf.c
This patch replaces x86-64 assembly versions of e_expf with generic
e_expf.c. For workload-spec2017.wrf, on Nehalem, it improves
performance by:
Before After Improvement
reciprocal-throughput 36.039 20.7749 73%
latency 58.8096 40.8715 43%
On Skylake, it improves
Before After Improvement
reciprocal-throughput 18.4436 11.1693 65%
latency 47.5162 37.5411 26%
* sysdeps/x86_64/fpu/e_expf.S: Removed.
* sysdeps/x86_64/fpu/multiarch/e_expf-fma.S: Likewise.
* sysdeps/x86_64/fpu/w_expf.c: Likewise.
* sysdeps/x86_64/fpu/libm-test-ulps: Updated for generic
e_expf.c.
* sysdeps/x86_64/fpu/multiarch/Makefile (CFLAGS-e_expf-fma.c):
New.
* sysdeps/x86_64/fpu/multiarch/e_expf-fma.c: New file.
* sysdeps/x86_64/fpu/multiarch/e_expf.c (__redirect_ieee754_expf):
Renamed to ...
(__redirect_expf): This.
(SYMBOL_NAME): Changed to expf.
(__ieee754_expf): Renamed to ...
(__expf): This.
(__GI___expf): This.
(__ieee754_expf): Add strong_alias.
(__expf_finite): Likewise.
(__expf): New.
Include <sysdeps/ieee754/flt-32/e_expf.c>.
This commit is contained in:
H.J. Lu
parent
a159b53fa0
commit
e1f59bebd8
22
ChangeLog
22
ChangeLog
@ -1,3 +1,25 @@
|
|||||||
|
2017-10-22 H.J. Lu <hongjiu.lu@intel.com>
|
||||||
|
|
||||||
|
* sysdeps/x86_64/fpu/e_expf.S: Removed.
|
||||||
|
* sysdeps/x86_64/fpu/multiarch/e_expf-fma.S: Likewise.
|
||||||
|
* sysdeps/x86_64/fpu/w_expf.c: Likewise.
|
||||||
|
* sysdeps/x86_64/fpu/libm-test-ulps: Updated for generic
|
||||||
|
e_expf.c.
|
||||||
|
* sysdeps/x86_64/fpu/multiarch/Makefile (CFLAGS-e_expf-fma.c):
|
||||||
|
New.
|
||||||
|
* sysdeps/x86_64/fpu/multiarch/e_expf-fma.c: New file.
|
||||||
|
* sysdeps/x86_64/fpu/multiarch/e_expf.c (__redirect_ieee754_expf):
|
||||||
|
Renamed to ...
|
||||||
|
(__redirect_expf): This.
|
||||||
|
(SYMBOL_NAME): Changed to expf.
|
||||||
|
(__ieee754_expf): Renamed to ...
|
||||||
|
(__expf): This.
|
||||||
|
(__GI___expf): This.
|
||||||
|
(__ieee754_expf): Add strong_alias.
|
||||||
|
(__expf_finite): Likewise.
|
||||||
|
(__expf): New.
|
||||||
|
Include <sysdeps/ieee754/flt-32/e_expf.c>.
|
||||||
|
|
||||||
2017-10-22 Paul Eggert <eggert@cs.ucla.edu>
|
2017-10-22 Paul Eggert <eggert@cs.ucla.edu>
|
||||||
|
|
||||||
[BZ #22332]
|
[BZ #22332]
|
||||||
|
|||||||
@ -1,339 +0,0 @@
|
|||||||
/* Optimized __ieee754_expf function.
|
|
||||||
Copyright (C) 2012-2017 Free Software Foundation, Inc.
|
|
||||||
Contributed by Intel Corporation.
|
|
||||||
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
|
|
||||||
<http://www.gnu.org/licenses/>. */
|
|
||||||
|
|
||||||
#include <sysdep.h>
|
|
||||||
|
|
||||||
/* Short algorithm description:
|
|
||||||
*
|
|
||||||
* Let K = 64 (table size).
|
|
||||||
* e^x = 2^(x/log(2)) = 2^n * T[j] * (1 + P(y))
|
|
||||||
* where
|
|
||||||
* x = m*log(2)/K + y, y in [0.0..log(2)/K]
|
|
||||||
* m = n*K + j, m,n,j - signed integer, j in [0..K-1]
|
|
||||||
* values of 2^(j/K) are tabulated as T[j].
|
|
||||||
*
|
|
||||||
* P(y) is a minimax polynomial approximation of expf(x)-1
|
|
||||||
* on small interval [0.0..log(2)/K].
|
|
||||||
*
|
|
||||||
* P(y) = P3*y*y*y*y + P2*y*y*y + P1*y*y + P0*y, calculated as
|
|
||||||
* z = y*y; P(y) = (P3*z + P1)*z + (P2*z + P0)*y
|
|
||||||
*
|
|
||||||
* Special cases:
|
|
||||||
* expf(NaN) = NaN
|
|
||||||
* expf(+INF) = +INF
|
|
||||||
* expf(-INF) = 0
|
|
||||||
* expf(x) = 1 for subnormals
|
|
||||||
* for finite argument, only expf(0)=1 is exact
|
|
||||||
* expf(x) overflows if x>88.7228317260742190
|
|
||||||
* expf(x) underflows if x<-103.972076416015620
|
|
||||||
*/
|
|
||||||
|
|
||||||
.text
|
|
||||||
ENTRY(__ieee754_expf)
|
|
||||||
/* Input: single precision x in %xmm0 */
|
|
||||||
cvtss2sd %xmm0, %xmm1 /* Convert x to double precision */
|
|
||||||
movd %xmm0, %ecx /* Copy x */
|
|
||||||
movsd L(DP_KLN2)(%rip), %xmm2 /* DP K/log(2) */
|
|
||||||
movsd L(DP_P2)(%rip), %xmm3 /* DP P2 */
|
|
||||||
movl %ecx, %eax /* x */
|
|
||||||
mulsd %xmm1, %xmm2 /* DP x*K/log(2) */
|
|
||||||
andl $0x7fffffff, %ecx /* |x| */
|
|
||||||
lea L(DP_T)(%rip), %rsi /* address of table T[j] */
|
|
||||||
cmpl $0x42ad496b, %ecx /* |x|<125*log(2) ? */
|
|
||||||
movsd L(DP_P3)(%rip), %xmm4 /* DP P3 */
|
|
||||||
addsd L(DP_RS)(%rip), %xmm2 /* DP x*K/log(2)+RS */
|
|
||||||
jae L(special_paths)
|
|
||||||
|
|
||||||
/* Here if |x|<125*log(2) */
|
|
||||||
cmpl $0x31800000, %ecx /* |x|<2^(-28) ? */
|
|
||||||
jb L(small_arg)
|
|
||||||
|
|
||||||
/* Main path: here if 2^(-28)<=|x|<125*log(2) */
|
|
||||||
cvtsd2ss %xmm2, %xmm2 /* SP x*K/log(2)+RS */
|
|
||||||
movd %xmm2, %eax /* bits of n*K+j with trash */
|
|
||||||
subss L(SP_RS)(%rip), %xmm2 /* SP t=round(x*K/log(2)) */
|
|
||||||
movl %eax, %edx /* n*K+j with trash */
|
|
||||||
cvtss2sd %xmm2, %xmm2 /* DP t */
|
|
||||||
andl $0x3f, %eax /* bits of j */
|
|
||||||
mulsd L(DP_NLN2K)(%rip), %xmm2/* DP -t*log(2)/K */
|
|
||||||
andl $0xffffffc0, %edx /* bits of n */
|
|
||||||
#ifdef __AVX__
|
|
||||||
vaddsd %xmm1, %xmm2, %xmm0 /* DP y=x-t*log(2)/K */
|
|
||||||
vmulsd %xmm0, %xmm0, %xmm2 /* DP z=y*y */
|
|
||||||
#else
|
|
||||||
addsd %xmm1, %xmm2 /* DP y=x-t*log(2)/K */
|
|
||||||
movaps %xmm2, %xmm0 /* DP y */
|
|
||||||
mulsd %xmm2, %xmm2 /* DP z=y*y */
|
|
||||||
#endif
|
|
||||||
mulsd %xmm2, %xmm4 /* DP P3*z */
|
|
||||||
addl $0x1fc0, %edx /* bits of n + SP exponent bias */
|
|
||||||
mulsd %xmm2, %xmm3 /* DP P2*z */
|
|
||||||
shll $17, %edx /* SP 2^n */
|
|
||||||
addsd L(DP_P1)(%rip), %xmm4 /* DP P3*z+P1 */
|
|
||||||
addsd L(DP_P0)(%rip), %xmm3 /* DP P2*z+P0 */
|
|
||||||
movd %edx, %xmm1 /* SP 2^n */
|
|
||||||
mulsd %xmm2, %xmm4 /* DP (P3*z+P1)*z */
|
|
||||||
mulsd %xmm3, %xmm0 /* DP (P2*z+P0)*y */
|
|
||||||
addsd %xmm4, %xmm0 /* DP P(y) */
|
|
||||||
mulsd (%rsi,%rax,8), %xmm0 /* DP P(y)*T[j] */
|
|
||||||
addsd (%rsi,%rax,8), %xmm0 /* DP T[j]*(P(y)+1) */
|
|
||||||
cvtsd2ss %xmm0, %xmm0 /* SP T[j]*(P(y)+1) */
|
|
||||||
mulss %xmm1, %xmm0 /* SP result=2^n*(T[j]*(P(y)+1)) */
|
|
||||||
ret
|
|
||||||
|
|
||||||
.p2align 4
|
|
||||||
L(small_arg):
|
|
||||||
/* Here if 0<=|x|<2^(-28) */
|
|
||||||
addss L(SP_ONE)(%rip), %xmm0 /* 1.0 + x */
|
|
||||||
/* Return 1.0 with inexact raised, except for x==0 */
|
|
||||||
ret
|
|
||||||
|
|
||||||
.p2align 4
|
|
||||||
L(special_paths):
|
|
||||||
/* Here if 125*log(2)<=|x| */
|
|
||||||
shrl $31, %eax /* Get sign bit of x, and depending on it: */
|
|
||||||
lea L(SP_RANGE)(%rip), %rdx /* load over/underflow bound */
|
|
||||||
cmpl (%rdx,%rax,4), %ecx /* |x|<under/overflow bound ? */
|
|
||||||
jbe L(near_under_or_overflow)
|
|
||||||
|
|
||||||
/* Here if |x|>under/overflow bound */
|
|
||||||
cmpl $0x7f800000, %ecx /* |x| is finite ? */
|
|
||||||
jae L(arg_inf_or_nan)
|
|
||||||
|
|
||||||
/* Here if |x|>under/overflow bound, and x is finite */
|
|
||||||
testq %rax, %rax /* sign of x nonzero ? */
|
|
||||||
je L(res_overflow)
|
|
||||||
|
|
||||||
/* Here if -inf<x<underflow bound (x<0) */
|
|
||||||
movss L(SP_SMALL)(%rip), %xmm0/* load small value 2^(-100) */
|
|
||||||
mulss %xmm0, %xmm0 /* Return underflowed result (zero or subnormal) */
|
|
||||||
ret
|
|
||||||
|
|
||||||
.p2align 4
|
|
||||||
L(res_overflow):
|
|
||||||
/* Here if overflow bound<x<inf (x>0) */
|
|
||||||
movss L(SP_LARGE)(%rip), %xmm0/* load large value 2^100 */
|
|
||||||
mulss %xmm0, %xmm0 /* Return overflowed result (Inf or max normal) */
|
|
||||||
ret
|
|
||||||
|
|
||||||
.p2align 4
|
|
||||||
L(arg_inf_or_nan):
|
|
||||||
/* Here if |x| is Inf or NAN */
|
|
||||||
jne L(arg_nan) /* |x| is Inf ? */
|
|
||||||
|
|
||||||
/* Here if |x| is Inf */
|
|
||||||
lea L(SP_INF_0)(%rip), %rdx /* depending on sign of x: */
|
|
||||||
movss (%rdx,%rax,4), %xmm0 /* return zero or Inf */
|
|
||||||
ret
|
|
||||||
|
|
||||||
.p2align 4
|
|
||||||
L(arg_nan):
|
|
||||||
/* Here if |x| is NaN */
|
|
||||||
addss %xmm0, %xmm0 /* Return x+x (raise invalid) */
|
|
||||||
ret
|
|
||||||
|
|
||||||
.p2align 4
|
|
||||||
L(near_under_or_overflow):
|
|
||||||
/* Here if 125*log(2)<=|x|<under/overflow bound */
|
|
||||||
cvtsd2ss %xmm2, %xmm2 /* SP x*K/log(2)+RS */
|
|
||||||
movd %xmm2, %eax /* bits of n*K+j with trash */
|
|
||||||
subss L(SP_RS)(%rip), %xmm2 /* SP t=round(x*K/log(2)) */
|
|
||||||
movl %eax, %edx /* n*K+j with trash */
|
|
||||||
cvtss2sd %xmm2, %xmm2 /* DP t */
|
|
||||||
andl $0x3f, %eax /* bits of j */
|
|
||||||
mulsd L(DP_NLN2K)(%rip), %xmm2/* DP -t*log(2)/K */
|
|
||||||
andl $0xffffffc0, %edx /* bits of n */
|
|
||||||
#ifdef __AVX__
|
|
||||||
vaddsd %xmm1, %xmm2, %xmm0 /* DP y=x-t*log(2)/K */
|
|
||||||
vmulsd %xmm0, %xmm0, %xmm2 /* DP z=y*y */
|
|
||||||
#else
|
|
||||||
addsd %xmm1, %xmm2 /* DP y=x-t*log(2)/K */
|
|
||||||
movaps %xmm2, %xmm0 /* DP y */
|
|
||||||
mulsd %xmm2, %xmm2 /* DP z=y*y */
|
|
||||||
#endif
|
|
||||||
mulsd %xmm2, %xmm4 /* DP P3*z */
|
|
||||||
addl $0xffc0, %edx /* bits of n + DP exponent bias */
|
|
||||||
mulsd %xmm2, %xmm3 /* DP P2*z */
|
|
||||||
shlq $46, %rdx /* DP 2^n */
|
|
||||||
addsd L(DP_P1)(%rip), %xmm4 /* DP P3*z+P1 */
|
|
||||||
addsd L(DP_P0)(%rip), %xmm3 /* DP P2*z+P0 */
|
|
||||||
movd %rdx, %xmm1 /* DP 2^n */
|
|
||||||
mulsd %xmm2, %xmm4 /* DP (P3*z+P1)*z */
|
|
||||||
mulsd %xmm3, %xmm0 /* DP (P2*z+P0)*y */
|
|
||||||
addsd %xmm4, %xmm0 /* DP P(y) */
|
|
||||||
mulsd (%rsi,%rax,8), %xmm0 /* DP P(y)*T[j] */
|
|
||||||
addsd (%rsi,%rax,8), %xmm0 /* DP T[j]*(P(y)+1) */
|
|
||||||
mulsd %xmm1, %xmm0 /* DP result=2^n*(T[j]*(P(y)+1)) */
|
|
||||||
cvtsd2ss %xmm0, %xmm0 /* convert result to single precision */
|
|
||||||
ret
|
|
||||||
END(__ieee754_expf)
|
|
||||||
|
|
||||||
.section .rodata, "a"
|
|
||||||
.p2align 3
|
|
||||||
L(DP_T): /* table of double precision values 2^(j/K) for j=[0..K-1] */
|
|
||||||
.long 0x00000000, 0x3ff00000
|
|
||||||
.long 0x3e778061, 0x3ff02c9a
|
|
||||||
.long 0xd3158574, 0x3ff059b0
|
|
||||||
.long 0x18759bc8, 0x3ff08745
|
|
||||||
.long 0x6cf9890f, 0x3ff0b558
|
|
||||||
.long 0x32d3d1a2, 0x3ff0e3ec
|
|
||||||
.long 0xd0125b51, 0x3ff11301
|
|
||||||
.long 0xaea92de0, 0x3ff1429a
|
|
||||||
.long 0x3c7d517b, 0x3ff172b8
|
|
||||||
.long 0xeb6fcb75, 0x3ff1a35b
|
|
||||||
.long 0x3168b9aa, 0x3ff1d487
|
|
||||||
.long 0x88628cd6, 0x3ff2063b
|
|
||||||
.long 0x6e756238, 0x3ff2387a
|
|
||||||
.long 0x65e27cdd, 0x3ff26b45
|
|
||||||
.long 0xf51fdee1, 0x3ff29e9d
|
|
||||||
.long 0xa6e4030b, 0x3ff2d285
|
|
||||||
.long 0x0a31b715, 0x3ff306fe
|
|
||||||
.long 0xb26416ff, 0x3ff33c08
|
|
||||||
.long 0x373aa9cb, 0x3ff371a7
|
|
||||||
.long 0x34e59ff7, 0x3ff3a7db
|
|
||||||
.long 0x4c123422, 0x3ff3dea6
|
|
||||||
.long 0x21f72e2a, 0x3ff4160a
|
|
||||||
.long 0x6061892d, 0x3ff44e08
|
|
||||||
.long 0xb5c13cd0, 0x3ff486a2
|
|
||||||
.long 0xd5362a27, 0x3ff4bfda
|
|
||||||
.long 0x769d2ca7, 0x3ff4f9b2
|
|
||||||
.long 0x569d4f82, 0x3ff5342b
|
|
||||||
.long 0x36b527da, 0x3ff56f47
|
|
||||||
.long 0xdd485429, 0x3ff5ab07
|
|
||||||
.long 0x15ad2148, 0x3ff5e76f
|
|
||||||
.long 0xb03a5585, 0x3ff6247e
|
|
||||||
.long 0x82552225, 0x3ff66238
|
|
||||||
.long 0x667f3bcd, 0x3ff6a09e
|
|
||||||
.long 0x3c651a2f, 0x3ff6dfb2
|
|
||||||
.long 0xe8ec5f74, 0x3ff71f75
|
|
||||||
.long 0x564267c9, 0x3ff75feb
|
|
||||||
.long 0x73eb0187, 0x3ff7a114
|
|
||||||
.long 0x36cf4e62, 0x3ff7e2f3
|
|
||||||
.long 0x994cce13, 0x3ff82589
|
|
||||||
.long 0x9b4492ed, 0x3ff868d9
|
|
||||||
.long 0x422aa0db, 0x3ff8ace5
|
|
||||||
.long 0x99157736, 0x3ff8f1ae
|
|
||||||
.long 0xb0cdc5e5, 0x3ff93737
|
|
||||||
.long 0x9fde4e50, 0x3ff97d82
|
|
||||||
.long 0x82a3f090, 0x3ff9c491
|
|
||||||
.long 0x7b5de565, 0x3ffa0c66
|
|
||||||
.long 0xb23e255d, 0x3ffa5503
|
|
||||||
.long 0x5579fdbf, 0x3ffa9e6b
|
|
||||||
.long 0x995ad3ad, 0x3ffae89f
|
|
||||||
.long 0xb84f15fb, 0x3ffb33a2
|
|
||||||
.long 0xf2fb5e47, 0x3ffb7f76
|
|
||||||
.long 0x904bc1d2, 0x3ffbcc1e
|
|
||||||
.long 0xdd85529c, 0x3ffc199b
|
|
||||||
.long 0x2e57d14b, 0x3ffc67f1
|
|
||||||
.long 0xdcef9069, 0x3ffcb720
|
|
||||||
.long 0x4a07897c, 0x3ffd072d
|
|
||||||
.long 0xdcfba487, 0x3ffd5818
|
|
||||||
.long 0x03db3285, 0x3ffda9e6
|
|
||||||
.long 0x337b9b5f, 0x3ffdfc97
|
|
||||||
.long 0xe78b3ff6, 0x3ffe502e
|
|
||||||
.long 0xa2a490da, 0x3ffea4af
|
|
||||||
.long 0xee615a27, 0x3ffefa1b
|
|
||||||
.long 0x5b6e4540, 0x3fff5076
|
|
||||||
.long 0x819e90d8, 0x3fffa7c1
|
|
||||||
.type L(DP_T), @object
|
|
||||||
ASM_SIZE_DIRECTIVE(L(DP_T))
|
|
||||||
|
|
||||||
.section .rodata.cst8,"aM",@progbits,8
|
|
||||||
.p2align 3
|
|
||||||
L(DP_KLN2): /* double precision K/log(2) */
|
|
||||||
.long 0x652b82fe, 0x40571547
|
|
||||||
.type L(DP_KLN2), @object
|
|
||||||
ASM_SIZE_DIRECTIVE(L(DP_KLN2))
|
|
||||||
|
|
||||||
.p2align 3
|
|
||||||
L(DP_NLN2K): /* double precision -log(2)/K */
|
|
||||||
.long 0xfefa39ef, 0xbf862e42
|
|
||||||
.type L(DP_NLN2K), @object
|
|
||||||
ASM_SIZE_DIRECTIVE(L(DP_NLN2K))
|
|
||||||
|
|
||||||
.p2align 3
|
|
||||||
L(DP_RS): /* double precision 2^23+2^22 */
|
|
||||||
.long 0x00000000, 0x41680000
|
|
||||||
.type L(DP_RS), @object
|
|
||||||
ASM_SIZE_DIRECTIVE(L(DP_RS))
|
|
||||||
|
|
||||||
.p2align 3
|
|
||||||
L(DP_P3): /* double precision polynomial coefficient P3 */
|
|
||||||
.long 0xeb78fa85, 0x3fa56420
|
|
||||||
.type L(DP_P3), @object
|
|
||||||
ASM_SIZE_DIRECTIVE(L(DP_P3))
|
|
||||||
|
|
||||||
.p2align 3
|
|
||||||
L(DP_P1): /* double precision polynomial coefficient P1 */
|
|
||||||
.long 0x008d6118, 0x3fe00000
|
|
||||||
.type L(DP_P1), @object
|
|
||||||
ASM_SIZE_DIRECTIVE(L(DP_P1))
|
|
||||||
|
|
||||||
.p2align 3
|
|
||||||
L(DP_P2): /* double precision polynomial coefficient P2 */
|
|
||||||
.long 0xda752d4f, 0x3fc55550
|
|
||||||
.type L(DP_P2), @object
|
|
||||||
ASM_SIZE_DIRECTIVE(L(DP_P2))
|
|
||||||
|
|
||||||
.p2align 3
|
|
||||||
L(DP_P0): /* double precision polynomial coefficient P0 */
|
|
||||||
.long 0xffffe7c6, 0x3fefffff
|
|
||||||
.type L(DP_P0), @object
|
|
||||||
ASM_SIZE_DIRECTIVE(L(DP_P0))
|
|
||||||
|
|
||||||
.p2align 3
|
|
||||||
L(SP_RANGE): /* single precision overflow/underflow bounds */
|
|
||||||
.long 0x42b17217 /* if x>this bound, then result overflows */
|
|
||||||
.long 0x42cff1b4 /* if x<this bound, then result underflows */
|
|
||||||
.type L(SP_RANGE), @object
|
|
||||||
ASM_SIZE_DIRECTIVE(L(SP_RANGE))
|
|
||||||
|
|
||||||
.p2align 3
|
|
||||||
L(SP_INF_0):
|
|
||||||
.long 0x7f800000 /* single precision Inf */
|
|
||||||
.long 0 /* single precision zero */
|
|
||||||
.type L(SP_INF_0), @object
|
|
||||||
ASM_SIZE_DIRECTIVE(L(SP_INF_0))
|
|
||||||
|
|
||||||
.section .rodata.cst4,"aM",@progbits,4
|
|
||||||
.p2align 2
|
|
||||||
L(SP_RS): /* single precision 2^23+2^22 */
|
|
||||||
.long 0x4b400000
|
|
||||||
.type L(SP_RS), @object
|
|
||||||
ASM_SIZE_DIRECTIVE(L(SP_RS))
|
|
||||||
|
|
||||||
.p2align 2
|
|
||||||
L(SP_SMALL): /* single precision small value 2^(-100) */
|
|
||||||
.long 0x0d800000
|
|
||||||
.type L(SP_SMALL), @object
|
|
||||||
ASM_SIZE_DIRECTIVE(L(SP_SMALL))
|
|
||||||
|
|
||||||
.p2align 2
|
|
||||||
L(SP_LARGE): /* single precision large value 2^100 */
|
|
||||||
.long 0x71800000
|
|
||||||
.type L(SP_LARGE), @object
|
|
||||||
ASM_SIZE_DIRECTIVE(L(SP_LARGE))
|
|
||||||
|
|
||||||
.p2align 2
|
|
||||||
L(SP_ONE): /* single precision 1.0 */
|
|
||||||
.long 0x3f800000
|
|
||||||
.type L(SP_ONE), @object
|
|
||||||
ASM_SIZE_DIRECTIVE(L(SP_ONE))
|
|
||||||
|
|
||||||
strong_alias (__ieee754_expf, __expf_finite)
|
|
||||||
@ -1987,13 +1987,17 @@ ldouble: 1
|
|||||||
|
|
||||||
Function: "exp_downward":
|
Function: "exp_downward":
|
||||||
double: 1
|
double: 1
|
||||||
|
float: 1
|
||||||
idouble: 1
|
idouble: 1
|
||||||
|
ifloat: 1
|
||||||
ildouble: 1
|
ildouble: 1
|
||||||
ldouble: 1
|
ldouble: 1
|
||||||
|
|
||||||
Function: "exp_towardzero":
|
Function: "exp_towardzero":
|
||||||
double: 1
|
double: 1
|
||||||
|
float: 1
|
||||||
idouble: 1
|
idouble: 1
|
||||||
|
ifloat: 1
|
||||||
ildouble: 2
|
ildouble: 2
|
||||||
ldouble: 2
|
ldouble: 2
|
||||||
|
|
||||||
|
|||||||
@ -37,9 +37,10 @@ CFLAGS-slowpow-fma.c = -mfma -mavx2
|
|||||||
CFLAGS-s_sin-fma.c = -mfma -mavx2
|
CFLAGS-s_sin-fma.c = -mfma -mavx2
|
||||||
CFLAGS-s_tan-fma.c = -mfma -mavx2
|
CFLAGS-s_tan-fma.c = -mfma -mavx2
|
||||||
|
|
||||||
# e_expf-fma.S implements both FMA and SSE2 versions of e_expf.
|
|
||||||
libm-sysdep_routines += e_expf-fma
|
libm-sysdep_routines += e_expf-fma
|
||||||
|
|
||||||
|
CFLAGS-e_expf-fma.c = -mfma -mavx2
|
||||||
|
|
||||||
libm-sysdep_routines += e_exp-fma4 e_log-fma4 e_pow-fma4 s_atan-fma4 \
|
libm-sysdep_routines += e_exp-fma4 e_log-fma4 e_pow-fma4 s_atan-fma4 \
|
||||||
e_asin-fma4 e_atan2-fma4 s_sin-fma4 s_tan-fma4 \
|
e_asin-fma4 e_atan2-fma4 s_sin-fma4 s_tan-fma4 \
|
||||||
mplog-fma4 mpa-fma4 slowexp-fma4 slowpow-fma4 \
|
mplog-fma4 mpa-fma4 slowexp-fma4 slowpow-fma4 \
|
||||||
|
|||||||
@ -1,182 +0,0 @@
|
|||||||
/* FMA/AVX2 version of IEEE 754 expf.
|
|
||||||
Copyright (C) 2017 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
|
|
||||||
<http://www.gnu.org/licenses/>. */
|
|
||||||
|
|
||||||
#include <sysdep.h>
|
|
||||||
|
|
||||||
/* Short algorithm description:
|
|
||||||
|
|
||||||
Let K = 64 (table size).
|
|
||||||
e^x = 2^(x/log(2)) = 2^n * T[j] * (1 + P(y))
|
|
||||||
where
|
|
||||||
x = m*log(2)/K + y, y in [0.0..log(2)/K]
|
|
||||||
m = n*K + j, m,n,j - signed integer, j in [0..K-1]
|
|
||||||
values of 2^(j/K) are tabulated as T[j].
|
|
||||||
|
|
||||||
P(y) is a minimax polynomial approximation of expf(x)-1
|
|
||||||
on small interval [0.0..log(2)/K].
|
|
||||||
|
|
||||||
P(y) = P3*y*y*y*y + P2*y*y*y + P1*y*y + P0*y, calculated as
|
|
||||||
z = y*y; P(y) = (P3*z + P1)*z + (P2*z + P0)*y
|
|
||||||
|
|
||||||
Special cases:
|
|
||||||
expf(NaN) = NaN
|
|
||||||
expf(+INF) = +INF
|
|
||||||
expf(-INF) = 0
|
|
||||||
expf(x) = 1 for subnormals
|
|
||||||
for finite argument, only expf(0)=1 is exact
|
|
||||||
expf(x) overflows if x>88.7228317260742190
|
|
||||||
expf(x) underflows if x<-103.972076416015620
|
|
||||||
*/
|
|
||||||
|
|
||||||
.section .text.fma,"ax",@progbits
|
|
||||||
ENTRY(__ieee754_expf_fma)
|
|
||||||
/* Input: single precision x in %xmm0 */
|
|
||||||
vcvtss2sd %xmm0, %xmm0, %xmm1 /* Convert x to double precision */
|
|
||||||
vmovd %xmm0, %ecx /* Copy x */
|
|
||||||
vmovsd L(DP_KLN2)(%rip), %xmm2 /* DP K/log(2) */
|
|
||||||
vfmadd213sd L(DP_RD)(%rip), %xmm1, %xmm2 /* DP x*K/log(2)+RD */
|
|
||||||
vmovsd L(DP_P2)(%rip), %xmm3 /* DP P2 */
|
|
||||||
movl %ecx, %eax /* x */
|
|
||||||
andl $0x7fffffff, %ecx /* |x| */
|
|
||||||
lea L(DP_T)(%rip), %rsi /* address of table T[j] */
|
|
||||||
vmovsd L(DP_P3)(%rip), %xmm4 /* DP P3 */
|
|
||||||
|
|
||||||
cmpl $0x42ad496b, %ecx /* |x|<125*log(2) ? */
|
|
||||||
jae L(special_paths_fma)
|
|
||||||
|
|
||||||
/* Here if |x|<125*log(2) */
|
|
||||||
cmpl $0x31800000, %ecx /* |x|<2^(-28) ? */
|
|
||||||
jb L(small_arg_fma)
|
|
||||||
|
|
||||||
/* Main path: here if 2^(-28)<=|x|<125*log(2) */
|
|
||||||
/* %xmm2 = SP x*K/log(2)+RS */
|
|
||||||
vmovd %xmm2, %eax
|
|
||||||
vsubsd L(DP_RD)(%rip), %xmm2, %xmm2 /* DP t=round(x*K/log(2)) */
|
|
||||||
movl %eax, %edx /* n*K+j with trash */
|
|
||||||
andl $0x3f, %eax /* bits of j */
|
|
||||||
vmovsd (%rsi,%rax,8), %xmm5 /* T[j] */
|
|
||||||
andl $0xffffffc0, %edx /* bits of n */
|
|
||||||
|
|
||||||
vfmadd132sd L(DP_NLN2K)(%rip), %xmm1, %xmm2 /* DP y=x-t*log(2)/K */
|
|
||||||
vmulsd %xmm2, %xmm2, %xmm6 /* DP z=y*y */
|
|
||||||
|
|
||||||
|
|
||||||
vfmadd213sd L(DP_P1)(%rip), %xmm6, %xmm4 /* DP P3*z + P1 */
|
|
||||||
vfmadd213sd L(DP_P0)(%rip), %xmm6, %xmm3 /* DP P2*z+P0 */
|
|
||||||
|
|
||||||
addl $0x1fc0, %edx /* bits of n + SP exponent bias */
|
|
||||||
shll $17, %edx /* SP 2^n */
|
|
||||||
vmovd %edx, %xmm1 /* SP 2^n */
|
|
||||||
|
|
||||||
vmulsd %xmm6, %xmm4, %xmm4 /* DP (P3*z+P1)*z */
|
|
||||||
|
|
||||||
vfmadd213sd %xmm4, %xmm3, %xmm2 /* DP P(Y) (P2*z+P0)*y */
|
|
||||||
vfmadd213sd %xmm5, %xmm5, %xmm2 /* DP T[j]*(P(y)+1) */
|
|
||||||
vcvtsd2ss %xmm2, %xmm2, %xmm0 /* SP T[j]*(P(y)+1) */
|
|
||||||
vmulss %xmm1, %xmm0, %xmm0 /* SP result=2^n*(T[j]*(P(y)+1)) */
|
|
||||||
ret
|
|
||||||
|
|
||||||
.p2align 4
|
|
||||||
L(small_arg_fma):
|
|
||||||
/* Here if 0<=|x|<2^(-28) */
|
|
||||||
vaddss L(SP_ONE)(%rip), %xmm0, %xmm0 /* 1.0 + x */
|
|
||||||
/* Return 1.0 with inexact raised, except for x==0 */
|
|
||||||
ret
|
|
||||||
|
|
||||||
.p2align 4
|
|
||||||
L(special_paths_fma):
|
|
||||||
/* Here if 125*log(2)<=|x| */
|
|
||||||
shrl $31, %eax /* Get sign bit of x, and depending on it: */
|
|
||||||
lea L(SP_RANGE)(%rip), %rdx /* load over/underflow bound */
|
|
||||||
cmpl (%rdx,%rax,4), %ecx /* |x|<under/overflow bound ? */
|
|
||||||
jbe L(near_under_or_overflow_fma)
|
|
||||||
|
|
||||||
/* Here if |x|>under/overflow bound */
|
|
||||||
cmpl $0x7f800000, %ecx /* |x| is finite ? */
|
|
||||||
jae L(arg_inf_or_nan_fma)
|
|
||||||
|
|
||||||
/* Here if |x|>under/overflow bound, and x is finite */
|
|
||||||
testl %eax, %eax /* sign of x nonzero ? */
|
|
||||||
je L(res_overflow_fma)
|
|
||||||
|
|
||||||
/* Here if -inf<x<underflow bound (x<0) */
|
|
||||||
vmovss L(SP_SMALL)(%rip), %xmm0/* load small value 2^(-100) */
|
|
||||||
vmulss %xmm0, %xmm0, %xmm0 /* Return underflowed result (zero or subnormal) */
|
|
||||||
ret
|
|
||||||
|
|
||||||
.p2align 4
|
|
||||||
L(res_overflow_fma):
|
|
||||||
/* Here if overflow bound<x<inf (x>0) */
|
|
||||||
vmovss L(SP_LARGE)(%rip), %xmm0/* load large value 2^100 */
|
|
||||||
vmulss %xmm0, %xmm0, %xmm0 /* Return overflowed result (Inf or max normal) */
|
|
||||||
ret
|
|
||||||
|
|
||||||
.p2align 4
|
|
||||||
L(arg_inf_or_nan_fma):
|
|
||||||
/* Here if |x| is Inf or NAN */
|
|
||||||
jne L(arg_nan_fma) /* |x| is Inf ? */
|
|
||||||
|
|
||||||
/* Here if |x| is Inf */
|
|
||||||
lea L(SP_INF_0)(%rip), %rdx /* depending on sign of x: */
|
|
||||||
vmovss (%rdx,%rax,4), %xmm0 /* return zero or Inf */
|
|
||||||
ret
|
|
||||||
|
|
||||||
.p2align 4
|
|
||||||
L(arg_nan_fma):
|
|
||||||
/* Here if |x| is NaN */
|
|
||||||
vaddss %xmm0, %xmm0, %xmm0 /* Return x+x (raise invalid) */
|
|
||||||
ret
|
|
||||||
|
|
||||||
.p2align 4
|
|
||||||
L(near_under_or_overflow_fma):
|
|
||||||
/* Here if 125*log(2)<=|x|<under/overflow bound */
|
|
||||||
vmovd %xmm2, %eax /* bits of n*K+j with trash */
|
|
||||||
vsubsd L(DP_RD)(%rip), %xmm2, %xmm2 /* DP t=round(x*K/log(2)) */
|
|
||||||
movl %eax, %edx /* n*K+j with trash */
|
|
||||||
andl $0x3f, %eax /* bits of j */
|
|
||||||
vmulsd L(DP_NLN2K)(%rip),%xmm2, %xmm2/* DP -t*log(2)/K */
|
|
||||||
andl $0xffffffc0, %edx /* bits of n */
|
|
||||||
vaddsd %xmm1, %xmm2, %xmm0 /* DP y=x-t*log(2)/K */
|
|
||||||
vmulsd %xmm0, %xmm0, %xmm2 /* DP z=y*y */
|
|
||||||
addl $0xffc0, %edx /* bits of n + DP exponent bias */
|
|
||||||
vfmadd213sd L(DP_P0)(%rip), %xmm2, %xmm3/* DP P2*z+P0 */
|
|
||||||
shlq $46, %rdx /* DP 2^n */
|
|
||||||
vfmadd213sd L(DP_P1)(%rip), %xmm2, %xmm4/* DP P3*z+P1 */
|
|
||||||
vmovq %rdx, %xmm1 /* DP 2^n */
|
|
||||||
vmulsd %xmm2, %xmm4, %xmm4 /* DP (P3*z+P1)*z */
|
|
||||||
vfmadd213sd %xmm4, %xmm3, %xmm0 /* DP (P2*z+P0)*y */
|
|
||||||
vmovsd (%rsi,%rax,8), %xmm2
|
|
||||||
vfmadd213sd %xmm2, %xmm2, %xmm0 /* DP T[j]*(P(y)+1) */
|
|
||||||
vmulsd %xmm1, %xmm0, %xmm0 /* DP result=2^n*(T[j]*(P(y)+1)) */
|
|
||||||
vcvtsd2ss %xmm0, %xmm0, %xmm0 /* convert result to single precision */
|
|
||||||
ret
|
|
||||||
END(__ieee754_expf_fma)
|
|
||||||
|
|
||||||
.section .rodata.cst8,"aM",@progbits,8
|
|
||||||
.p2align 3
|
|
||||||
L(DP_RD): /* double precision 2^52+2^51 */
|
|
||||||
.long 0x00000000, 0x43380000
|
|
||||||
.type L(DP_RD), @object
|
|
||||||
ASM_SIZE_DIRECTIVE(L(DP_RD))
|
|
||||||
|
|
||||||
#define __ieee754_expf __ieee754_expf_sse2
|
|
||||||
|
|
||||||
#undef strong_alias
|
|
||||||
#define strong_alias(ignored1, ignored2)
|
|
||||||
|
|
||||||
#include <sysdeps/x86_64/fpu/e_expf.S>
|
|
||||||
3
sysdeps/x86_64/fpu/multiarch/e_expf-fma.c
Normal file
3
sysdeps/x86_64/fpu/multiarch/e_expf-fma.c
Normal file
@ -0,0 +1,3 @@
|
|||||||
|
#define __expf __expf_fma
|
||||||
|
|
||||||
|
#include <sysdeps/ieee754/flt-32/e_expf.c>
|
||||||
@ -1,4 +1,4 @@
|
|||||||
/* Multiple versions of IEEE 754 expf.
|
/* Multiple versions of expf.
|
||||||
Copyright (C) 2017 Free Software Foundation, Inc.
|
Copyright (C) 2017 Free Software Foundation, Inc.
|
||||||
This file is part of the GNU C Library.
|
This file is part of the GNU C Library.
|
||||||
|
|
||||||
@ -16,11 +16,25 @@
|
|||||||
License along with the GNU C Library; if not, see
|
License along with the GNU C Library; if not, see
|
||||||
<http://www.gnu.org/licenses/>. */
|
<http://www.gnu.org/licenses/>. */
|
||||||
|
|
||||||
extern float __redirect_ieee754_expf (float);
|
extern float __redirect_expf (float);
|
||||||
|
|
||||||
#define SYMBOL_NAME ieee754_expf
|
#define SYMBOL_NAME expf
|
||||||
#include "ifunc-fma.h"
|
#include "ifunc-fma.h"
|
||||||
|
|
||||||
libc_ifunc_redirected (__redirect_ieee754_expf, __ieee754_expf,
|
libc_ifunc_redirected (__redirect_expf, __expf, IFUNC_SELECTOR ());
|
||||||
IFUNC_SELECTOR ());
|
|
||||||
strong_alias (__ieee754_expf, __expf_finite)
|
#ifdef SHARED
|
||||||
|
__hidden_ver1 (__expf, __GI___expf, __redirect_expf)
|
||||||
|
__attribute__ ((visibility ("hidden")));
|
||||||
|
|
||||||
|
# include <shlib-compat.h>
|
||||||
|
versioned_symbol (libm, __expf, expf, GLIBC_2_27);
|
||||||
|
#else
|
||||||
|
weak_alias (__expf, expf)
|
||||||
|
#endif
|
||||||
|
|
||||||
|
strong_alias (__expf, __ieee754_expf)
|
||||||
|
strong_alias (__expf, __expf_finite)
|
||||||
|
|
||||||
|
#define __expf __expf_sse2
|
||||||
|
#include <sysdeps/ieee754/flt-32/e_expf.c>
|
||||||
|
|||||||
@ -1 +0,0 @@
|
|||||||
#include <sysdeps/../math/w_expf.c>
|
|
||||||
Loading…
Reference in New Issue
Block a user