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/* Function expm1f vectorized with AVX2.
Copyright (C) 2021 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/. */
/*
* ALGORITHM DESCRIPTION:
*
* N = (int)(x*2^k/log(2.0)), R = x - N*log(2)/2^k
* exp(x) = 2^(N/2^k) * poly(R) is computed in high-low parts
* expm1(x) = exp(x)-1 is then obtained via multi-precision computation
*
*
*/
/* Offsets for data table __svml_sexpm1_data_internal
*/
#define Expm1_HA_table 0
#define poly_coeff 512
#define Log2e 640
#define L2H 672
#define L2L 704
#define ExpAddConst 736
#define IndexMask 768
#define ExpMask 800
#define MOne 832
#define AbsMask 864
#define Threshold 896
#define L2 928
#include <sysdep.h>
.text
.section .text.avx2,"ax",@progbits
ENTRY(_ZGVdN8v_expm1f_avx2)
pushq %rbp
cfi_def_cfa_offset(16)
movq %rsp, %rbp
cfi_def_cfa(6, 16)
cfi_offset(6, -16)
andq $-32, %rsp
subq $96, %rsp
lea __svml_sexpm1_data_internal(%rip), %rax
vmovaps %ymm0, %ymm3
vmulps Log2e+__svml_sexpm1_data_internal(%rip), %ymm3, %ymm4
/* argument reduction */
vmovups L2H+__svml_sexpm1_data_internal(%rip), %ymm2
vmovups AbsMask+__svml_sexpm1_data_internal(%rip), %ymm5
vroundps $0, %ymm4, %ymm8
vaddps ExpAddConst+__svml_sexpm1_data_internal(%rip), %ymm8, %ymm0
vfnmadd213ps %ymm3, %ymm8, %ymm2
/* table lookup */
vandps IndexMask+__svml_sexpm1_data_internal(%rip), %ymm0, %ymm9
vandps %ymm5, %ymm3, %ymm6
vcmpnle_uqps Threshold+__svml_sexpm1_data_internal(%rip), %ymm6, %ymm7
vfnmadd231ps L2L+__svml_sexpm1_data_internal(%rip), %ymm8, %ymm2
vandps ExpMask+__svml_sexpm1_data_internal(%rip), %ymm0, %ymm0
vandnps %ymm3, %ymm5, %ymm1
vpslld $14, %ymm0, %ymm0
vmovmskps %ymm7, %edx
vmovd %xmm9, %ecx
vextractf128 $1, %ymm9, %xmm10
movslq %ecx, %rcx
vmovd %xmm10, %r9d
vpextrd $1, %xmm9, %esi
vpextrd $2, %xmm9, %edi
vpextrd $3, %xmm9, %r8d
vmovq (%rax,%rcx), %xmm11
vpextrd $1, %xmm10, %r10d
vpextrd $2, %xmm10, %r11d
vpextrd $3, %xmm10, %ecx
movslq %esi, %rsi
movslq %edi, %rdi
movslq %r8d, %r8
movslq %r9d, %r9
movslq %r10d, %r10
movslq %r11d, %r11
movslq %ecx, %rcx
vmovq (%rax,%rsi), %xmm13
vmovq (%rax,%rdi), %xmm12
vmovq (%rax,%r8), %xmm14
vmovq (%rax,%r9), %xmm15
vmovq (%rax,%r10), %xmm5
vmovq (%rax,%r11), %xmm4
vmovq (%rax,%rcx), %xmm6
vunpcklps %xmm12, %xmm11, %xmm7
vunpcklps %xmm14, %xmm13, %xmm8
vunpcklps %xmm4, %xmm15, %xmm15
vunpcklps %xmm6, %xmm5, %xmm9
vmulps %ymm2, %ymm2, %ymm13
vinsertf128 $1, %xmm15, %ymm7, %ymm10
vinsertf128 $1, %xmm9, %ymm8, %ymm11
vunpcklps %ymm11, %ymm10, %ymm12
vorps %ymm0, %ymm12, %ymm14
/* polynomial */
vmovups poly_coeff+__svml_sexpm1_data_internal(%rip), %ymm12
vfmadd213ps poly_coeff+32+__svml_sexpm1_data_internal(%rip), %ymm2, %ymm12
vfmadd213ps %ymm2, %ymm13, %ymm12
/* T-1 */
vmovups MOne+__svml_sexpm1_data_internal(%rip), %ymm13
vaddps %ymm13, %ymm14, %ymm2
vunpckhps %ymm11, %ymm10, %ymm4
vfmadd213ps %ymm2, %ymm0, %ymm4
vsubps %ymm13, %ymm4, %ymm0
vfmadd213ps %ymm4, %ymm12, %ymm0
vorps %ymm1, %ymm0, %ymm0
testl %edx, %edx
/* Go to special inputs processing branch */
jne L(SPECIAL_VALUES_BRANCH)
# LOE rbx r12 r13 r14 r15 edx ymm0 ymm3
/* Restore registers
* and exit the function
*/
L(EXIT):
movq %rbp, %rsp
popq %rbp
cfi_def_cfa(7, 8)
cfi_restore(6)
ret
cfi_def_cfa(6, 16)
cfi_offset(6, -16)
/* Branch to process
* special inputs
*/
L(SPECIAL_VALUES_BRANCH):
vmovups %ymm3, 32(%rsp)
vmovups %ymm0, 64(%rsp)
# LOE rbx r12 r13 r14 r15 edx ymm0
xorl %eax, %eax
# LOE rbx r12 r13 r14 r15 eax edx
vzeroupper
movq %r12, 16(%rsp)
/* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -80; DW_OP_plus) */
.cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xb0, 0xff, 0xff, 0xff, 0x22
movl %eax, %r12d
movq %r13, 8(%rsp)
/* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -88; DW_OP_plus) */
.cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa8, 0xff, 0xff, 0xff, 0x22
movl %edx, %r13d
movq %r14, (%rsp)
/* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -96; DW_OP_plus) */
.cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 0xff, 0xff, 0xff, 0x22
# LOE rbx r15 r12d r13d
/* Range mask
* bits check
*/
L(RANGEMASK_CHECK):
btl %r12d, %r13d
/* Call scalar math function */
jc L(SCALAR_MATH_CALL)
# LOE rbx r15 r12d r13d
/* Special inputs
* processing loop
*/
L(SPECIAL_VALUES_LOOP):
incl %r12d
cmpl $8, %r12d
/* Check bits in range mask */
jl L(RANGEMASK_CHECK)
# LOE rbx r15 r12d r13d
movq 16(%rsp), %r12
cfi_restore(12)
movq 8(%rsp), %r13
cfi_restore(13)
movq (%rsp), %r14
cfi_restore(14)
vmovups 64(%rsp), %ymm0
/* Go to exit */
jmp L(EXIT)
/* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -80; DW_OP_plus) */
.cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xb0, 0xff, 0xff, 0xff, 0x22
/* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -88; DW_OP_plus) */
.cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa8, 0xff, 0xff, 0xff, 0x22
/* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -96; DW_OP_plus) */
.cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 0xff, 0xff, 0xff, 0x22
# LOE rbx r12 r13 r14 r15 ymm0
/* Scalar math fucntion call
* to process special input
*/
L(SCALAR_MATH_CALL):
movl %r12d, %r14d
movss 32(%rsp,%r14,4), %xmm0
call expm1f@PLT
# LOE rbx r14 r15 r12d r13d xmm0
movss %xmm0, 64(%rsp,%r14,4)
/* Process special inputs in loop */
jmp L(SPECIAL_VALUES_LOOP)
# LOE rbx r15 r12d r13d
END(_ZGVdN8v_expm1f_avx2)
.section .rodata, "a"
.align 32
#ifdef __svml_sexpm1_data_internal_typedef
typedef unsigned int VUINT32;
typedef struct {
__declspec(align(32)) VUINT32 Expm1_HA_table[(1<<7)][1];
__declspec(align(32)) VUINT32 poly_coeff[4][8][1];
__declspec(align(32)) VUINT32 Log2e[8][1];
__declspec(align(32)) VUINT32 L2H[8][1];
__declspec(align(32)) VUINT32 L2L[8][1];
__declspec(align(32)) VUINT32 ExpAddConst[8][1];
__declspec(align(32)) VUINT32 IndexMask[8][1];
__declspec(align(32)) VUINT32 ExpMask[8][1];
__declspec(align(32)) VUINT32 MOne[8][1];
__declspec(align(32)) VUINT32 AbsMask[8][1];
__declspec(align(32)) VUINT32 Threshold[8][1];
__declspec(align(32)) VUINT32 L2[8][1];
} __svml_sexpm1_data_internal;
#endif
__svml_sexpm1_data_internal:
/* Expm1_HA_table */
.long 0x00000000, 0x00000000
.long 0x00016000, 0x391a3e78
.long 0x0002d000, 0xb89e59d5
.long 0x00044000, 0xb93ae78a
.long 0x0005b000, 0xb9279306
.long 0x00072000, 0xb79e6961
.long 0x0008a000, 0xb97e2fee
.long 0x000a1000, 0x391aaea9
.long 0x000b9000, 0x39383c7d
.long 0x000d2000, 0xb9241490
.long 0x000ea000, 0x39073169
.long 0x00103000, 0x386e218a
.long 0x0011c000, 0x38f4dceb
.long 0x00136000, 0xb93a9a1e
.long 0x0014f000, 0x391df520
.long 0x00169000, 0x3905a6e4
.long 0x00183000, 0x397e0a32
.long 0x0019e000, 0x370b2641
.long 0x001b9000, 0xb8b1918b
.long 0x001d4000, 0xb8132c6a
.long 0x001ef000, 0x39264c12
.long 0x0020b000, 0x37221f73
.long 0x00227000, 0x37060619
.long 0x00243000, 0x3922b5c1
.long 0x00260000, 0xb814ab27
.long 0x0027d000, 0xb89b12c6
.long 0x0029a000, 0x382d5a75
.long 0x002b8000, 0xb938c94b
.long 0x002d6000, 0xb97822b8
.long 0x002f4000, 0xb910ea53
.long 0x00312000, 0x38fd6075
.long 0x00331000, 0x38620955
.long 0x00350000, 0x391e667f
.long 0x00370000, 0xb89b8736
.long 0x00390000, 0xb90a1714
.long 0x003b0000, 0xb7a54ded
.long 0x003d1000, 0xb96b8c15
.long 0x003f1000, 0x397336cf
.long 0x00413000, 0xb8eccd66
.long 0x00434000, 0x39599b45
.long 0x00456000, 0x3965422b
.long 0x00479000, 0xb8a2cdd5
.long 0x0049c000, 0xb9484f32
.long 0x004bf000, 0xb8fac043
.long 0x004e2000, 0x391182a4
.long 0x00506000, 0x38ccf6bc
.long 0x0052b000, 0xb97c4dc2
.long 0x0054f000, 0x38d6aaf4
.long 0x00574000, 0x391f995b
.long 0x0059a000, 0xb8ba8f62
.long 0x005c0000, 0xb9090d05
.long 0x005e6000, 0x37f4825e
.long 0x0060d000, 0xb8c844f5
.long 0x00634000, 0xb76d1a83
.long 0x0065c000, 0xb95f2310
.long 0x00684000, 0xb952b5f8
.long 0x006ac000, 0x37c6e7dd
.long 0x006d5000, 0xb7cfe126
.long 0x006fe000, 0x3917337c
.long 0x00728000, 0x383b9e2d
.long 0x00752000, 0x392fa2a5
.long 0x0077d000, 0x37df730b
.long 0x007a8000, 0x38ecb6dd
.long 0x007d4000, 0xb879f986
/*== poly_coeff[4] ==*/
.align 32
.long 0x3e2AAABF, 0x3e2AAABF, 0x3e2AAABF, 0x3e2AAABF, 0x3e2AAABF, 0x3e2AAABF, 0x3e2AAABF, 0x3e2AAABF /* coeff3 */
.long 0x3f00000F, 0x3f00000F, 0x3f00000F, 0x3f00000F, 0x3f00000F, 0x3f00000F, 0x3f00000F, 0x3f00000F /* coeff2 */
/* 64 Byte Padding */
.zero 64
/*== Log2e ==*/
.align 32
.long 0x42B8AA3B, 0x42B8AA3B, 0x42B8AA3B, 0x42B8AA3B, 0x42B8AA3B, 0x42B8AA3B, 0x42B8AA3B, 0x42B8AA3B
/*== L2H ==*/
.align 32
.long 0x3c318000, 0x3c318000, 0x3c318000, 0x3c318000, 0x3c318000, 0x3c318000, 0x3c318000, 0x3c318000
/*== L2L ==*/
.align 32
.long 0xb65e8083, 0xb65e8083, 0xb65e8083, 0xb65e8083, 0xb65e8083, 0xb65e8083, 0xb65e8083, 0xb65e8083
/*== ExpAddConst ==*/
.align 32
.long 0x49f0fe00, 0x49f0fe00, 0x49f0fe00, 0x49f0fe00, 0x49f0fe00, 0x49f0fe00, 0x49f0fe00, 0x49f0fe00
/*== IndexMask ==*/
.align 32
.long 0x000001f8, 0x000001f8, 0x000001f8, 0x000001f8, 0x000001f8, 0x000001f8, 0x000001f8, 0x000001f8
/*== ExpMask ==*/
.align 32
.long 0x0001fe00, 0x0001fe00, 0x0001fe00, 0x0001fe00, 0x0001fe00, 0x0001fe00, 0x0001fe00, 0x0001fe00
/*== MOne ==*/
.align 32
.long 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000
/*== AbsMask ==*/
.align 32
.long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff
/*== Threshold ==*/
.align 32
.long 0x42AD496B, 0x42AD496B, 0x42AD496B, 0x42AD496B, 0x42AD496B, 0x42AD496B, 0x42AD496B, 0x42AD496B // 86.643394
/*== L2 ==*/
.align 32
.long 0x3cb17218, 0x3cb17218, 0x3cb17218, 0x3cb17218, 0x3cb17218, 0x3cb17218, 0x3cb17218, 0x3cb17218
.align 32
.type __svml_sexpm1_data_internal,@object
.size __svml_sexpm1_data_internal,.-__svml_sexpm1_data_internal
|
