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/* Function expm1f vectorized with SSE4.
Copyright (C) 2021-2023 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 576
#define L2H 592
#define L2L 608
#define ExpAddConst 624
#define IndexMask 640
#define ExpMask 656
#define MOne 672
#define AbsMask 688
#define Threshold 704
#define L2 720
#include <sysdep.h>
.section .text.sse4, "ax", @progbits
ENTRY(_ZGVbN4v_expm1f_sse4)
pushq %rbp
cfi_def_cfa_offset(16)
movq %rsp, %rbp
cfi_def_cfa(6, 16)
cfi_offset(6, -16)
andq $-32, %rsp
subq $64, %rsp
movaps %xmm0, %xmm4
movups Log2e+__svml_sexpm1_data_internal(%rip), %xmm9
lea __svml_sexpm1_data_internal(%rip), %r8
mulps %xmm0, %xmm9
movups .FLT_10(%rip), %xmm5
movups ExpAddConst+__svml_sexpm1_data_internal(%rip), %xmm2
addps %xmm5, %xmm9
/* argument reduction */
movups L2H+__svml_sexpm1_data_internal(%rip), %xmm6
subps %xmm5, %xmm9
mulps %xmm9, %xmm6
addps %xmm9, %xmm2
/* table lookup */
movdqu IndexMask+__svml_sexpm1_data_internal(%rip), %xmm12
subps %xmm6, %xmm4
pand %xmm2, %xmm12
movups L2L+__svml_sexpm1_data_internal(%rip), %xmm7
movups AbsMask+__svml_sexpm1_data_internal(%rip), %xmm3
pshufd $1, %xmm12, %xmm10
movaps %xmm3, %xmm8
mulps %xmm9, %xmm7
andps %xmm0, %xmm8
cmpnleps Threshold+__svml_sexpm1_data_internal(%rip), %xmm8
movd %xmm12, %edx
subps %xmm7, %xmm4
movd %xmm10, %ecx
movmskps %xmm8, %eax
pshufd $2, %xmm12, %xmm11
movaps %xmm4, %xmm7
pshufd $3, %xmm12, %xmm13
andnps %xmm0, %xmm3
movd %xmm11, %esi
movd %xmm13, %edi
/* polynomial */
movups poly_coeff+__svml_sexpm1_data_internal(%rip), %xmm8
movdqu ExpMask+__svml_sexpm1_data_internal(%rip), %xmm6
movslq %edx, %rdx
pand %xmm6, %xmm2
movslq %ecx, %rcx
pslld $14, %xmm2
movslq %esi, %rsi
movslq %edi, %rdi
movq (%r8, %rdx), %xmm1
movq (%r8, %rcx), %xmm14
movq (%r8, %rsi), %xmm5
movq (%r8, %rdi), %xmm15
unpcklps %xmm14, %xmm1
mulps %xmm4, %xmm8
movaps %xmm1, %xmm10
mulps %xmm4, %xmm7
addps poly_coeff+16+__svml_sexpm1_data_internal(%rip), %xmm8
unpcklps %xmm15, %xmm5
movlhps %xmm5, %xmm10
shufps $238, %xmm5, %xmm1
orps %xmm2, %xmm10
/* T-1 */
movups MOne+__svml_sexpm1_data_internal(%rip), %xmm9
mulps %xmm2, %xmm1
addps %xmm9, %xmm10
mulps %xmm7, %xmm8
addps %xmm1, %xmm10
addps %xmm8, %xmm4
movaps %xmm10, %xmm1
subps %xmm9, %xmm1
mulps %xmm1, %xmm4
addps %xmm4, %xmm10
orps %xmm3, %xmm10
testl %eax, %eax
/* Go to special inputs processing branch */
jne L(SPECIAL_VALUES_BRANCH)
# LOE rbx r12 r13 r14 r15 eax xmm0 xmm10
/* Restore registers
* and exit the function
*/
L(EXIT):
movaps %xmm10, %xmm0
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):
movups %xmm0, 32(%rsp)
movups %xmm10, 48(%rsp)
# LOE rbx r12 r13 r14 r15 eax
xorl %edx, %edx
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: -48; DW_OP_plus) */
.cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xd0, 0xff, 0xff, 0xff, 0x22
movl %edx, %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: -56; DW_OP_plus) */
.cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xc8, 0xff, 0xff, 0xff, 0x22
movl %eax, %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: -64; DW_OP_plus) */
.cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xc0, 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 $4, %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)
movups 48(%rsp), %xmm10
/* 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: -48; DW_OP_plus) */
.cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xd0, 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: -56; DW_OP_plus) */
.cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xc8, 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: -64; DW_OP_plus) */
.cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x22
# LOE rbx r12 r13 r14 r15 xmm10
/* 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, 48(%rsp, %r14, 4)
/* Process special inputs in loop */
jmp L(SPECIAL_VALUES_LOOP)
# LOE rbx r15 r12d r13d
END(_ZGVbN4v_expm1f_sse4)
.section .rodata, "a"
.align 16
#ifdef __svml_sexpm1_data_internal_typedef
typedef unsigned int VUINT32;
typedef struct {
__declspec(align(16)) VUINT32 Expm1_HA_table[(1<<7)][1];
__declspec(align(16)) VUINT32 poly_coeff[4][4][1];
__declspec(align(16)) VUINT32 Log2e[4][1];
__declspec(align(16)) VUINT32 L2H[4][1];
__declspec(align(16)) VUINT32 L2L[4][1];
__declspec(align(16)) VUINT32 ExpAddConst[4][1];
__declspec(align(16)) VUINT32 IndexMask[4][1];
__declspec(align(16)) VUINT32 ExpMask[4][1];
__declspec(align(16)) VUINT32 MOne[4][1];
__declspec(align(16)) VUINT32 AbsMask[4][1];
__declspec(align(16)) VUINT32 Threshold[4][1];
__declspec(align(16)) VUINT32 L2[4][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 16
.long 0x3e2AAABF, 0x3e2AAABF, 0x3e2AAABF, 0x3e2AAABF /* coeff3 */
.long 0x3f00000F, 0x3f00000F, 0x3f00000F, 0x3f00000F /* coeff2 */
/* 32 Byte Padding */
.zero 32
/* Log2e */
.align 16
.long 0x42B8AA3B, 0x42B8AA3B, 0x42B8AA3B, 0x42B8AA3B
/* L2H */
.align 16
.long 0x3c318000, 0x3c318000, 0x3c318000, 0x3c318000
/* L2L */
.align 16
.long 0xb65e8083, 0xb65e8083, 0xb65e8083, 0xb65e8083
/* ExpAddConst */
.align 16
.long 0x49f0fe00, 0x49f0fe00, 0x49f0fe00, 0x49f0fe00
/* IndexMask */
.align 16
.long 0x000001f8, 0x000001f8, 0x000001f8, 0x000001f8
/* ExpMask */
.align 16
.long 0x0001fe00, 0x0001fe00, 0x0001fe00, 0x0001fe00
/* MOne */
.align 16
.long 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000
/* AbsMask */
.align 16
.long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff
/* Threshold */
.align 16
.long 0x42AD496B, 0x42AD496B, 0x42AD496B, 0x42AD496B // 86.643394
/* L2 */
.align 16
.long 0x3cb17218, 0x3cb17218, 0x3cb17218, 0x3cb17218
.align 16
.type __svml_sexpm1_data_internal, @object
.size __svml_sexpm1_data_internal, .-__svml_sexpm1_data_internal
.align 16
.FLT_10:
.long 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000
.type .FLT_10, @object
.size .FLT_10, 16
|
