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/* Function log10 vectorized with AVX-512.
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:
*
* Get short reciprocal approximation Rcp ~ 1/mantissa(x)
* R = Rcp*x - 1.0
* log10(x) = k*log10(2.0) - log10(Rcp) + poly_approximation(R)
* log10(Rcp) is tabulated
*
*
*/
/* Offsets for data table __svml_dlog10_data_internal_avx512
*/
#define Log_tbl 0
#define One 128
#define C075 192
#define poly_coeff9 256
#define poly_coeff8 320
#define poly_coeff7 384
#define poly_coeff6 448
#define poly_coeff5 512
#define poly_coeff4 576
#define poly_coeff3 640
#define poly_coeff2 704
#define poly_coeff1 768
#define L2 832
#include <sysdep.h>
.section .text.evex512, "ax", @progbits
ENTRY(_ZGVeN8v_log10_skx)
pushq %rbp
cfi_def_cfa_offset(16)
movq %rsp, %rbp
cfi_def_cfa(6, 16)
cfi_offset(6, -16)
andq $-64, %rsp
subq $192, %rsp
vmovaps %zmm0, %zmm7
vgetmantpd $8, {sae}, %zmm7, %zmm6
vmovups One+__svml_dlog10_data_internal_avx512(%rip), %zmm3
vmovups poly_coeff5+__svml_dlog10_data_internal_avx512(%rip), %zmm12
vmovups poly_coeff3+__svml_dlog10_data_internal_avx512(%rip), %zmm13
/* Start polynomial evaluation */
vmovups poly_coeff9+__svml_dlog10_data_internal_avx512(%rip), %zmm10
vmovups poly_coeff8+__svml_dlog10_data_internal_avx512(%rip), %zmm1
vmovups poly_coeff7+__svml_dlog10_data_internal_avx512(%rip), %zmm11
vmovups poly_coeff6+__svml_dlog10_data_internal_avx512(%rip), %zmm14
/* Prepare exponent correction: DblRcp<0.75? */
vmovups C075+__svml_dlog10_data_internal_avx512(%rip), %zmm2
/* Table lookup */
vmovups __svml_dlog10_data_internal_avx512(%rip), %zmm5
/* GetExp(x) */
vgetexppd {sae}, %zmm7, %zmm0
/* DblRcp ~ 1/Mantissa */
vrcp14pd %zmm6, %zmm8
/* x<=0? */
vfpclasspd $94, %zmm7, %k0
/* round DblRcp to 4 fractional bits (RN mode, no Precision exception) */
vrndscalepd $88, {sae}, %zmm8, %zmm4
vmovups poly_coeff4+__svml_dlog10_data_internal_avx512(%rip), %zmm8
kmovw %k0, %edx
/* Reduced argument: R = DblRcp*Mantissa - 1 */
vfmsub213pd {rn-sae}, %zmm3, %zmm4, %zmm6
vcmppd $17, {sae}, %zmm2, %zmm4, %k1
vfmadd231pd {rn-sae}, %zmm6, %zmm12, %zmm8
vmovups poly_coeff2+__svml_dlog10_data_internal_avx512(%rip), %zmm12
vfmadd231pd {rn-sae}, %zmm6, %zmm10, %zmm1
vfmadd231pd {rn-sae}, %zmm6, %zmm11, %zmm14
vmovups poly_coeff1+__svml_dlog10_data_internal_avx512(%rip), %zmm2
/* R^2 */
vmulpd {rn-sae}, %zmm6, %zmm6, %zmm15
vfmadd231pd {rn-sae}, %zmm6, %zmm13, %zmm12
/* Prepare table index */
vpsrlq $48, %zmm4, %zmm9
/* add 1 to Expon if DblRcp<0.75 */
vaddpd {rn-sae}, %zmm3, %zmm0, %zmm0{%k1}
vmulpd {rn-sae}, %zmm15, %zmm15, %zmm13
vfmadd213pd {rn-sae}, %zmm14, %zmm15, %zmm1
vfmadd213pd {rn-sae}, %zmm12, %zmm15, %zmm8
vpermt2pd Log_tbl+64+__svml_dlog10_data_internal_avx512(%rip), %zmm9, %zmm5
/* polynomial */
vfmadd213pd {rn-sae}, %zmm8, %zmm13, %zmm1
vfmadd213pd {rn-sae}, %zmm2, %zmm6, %zmm1
vfmadd213pd {rn-sae}, %zmm5, %zmm1, %zmm6
vmovups L2+__svml_dlog10_data_internal_avx512(%rip), %zmm1
vfmadd213pd {rn-sae}, %zmm6, %zmm1, %zmm0
testl %edx, %edx
/* Go to special inputs processing branch */
jne L(SPECIAL_VALUES_BRANCH)
# LOE rbx r12 r13 r14 r15 edx zmm0 zmm7
/* 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 %zmm7, 64(%rsp)
vmovups %zmm0, 128(%rsp)
# LOE rbx r12 r13 r14 r15 edx zmm0
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: -64; DW_OP_and; DW_OP_const4s: -176; DW_OP_plus) */
.cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x50, 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: -64; DW_OP_and; DW_OP_const4s: -184; DW_OP_plus) */
.cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x48, 0xff, 0xff, 0xff, 0x22
movl %edx, %r13d
movq %r14, (%rsp)
/* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -192; DW_OP_plus) */
.cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x40, 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 128(%rsp), %zmm0
/* Go to exit */
jmp L(EXIT)
/* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -176; DW_OP_plus) */
.cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x50, 0xff, 0xff, 0xff, 0x22
/* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -184; DW_OP_plus) */
.cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x48, 0xff, 0xff, 0xff, 0x22
/* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -192; DW_OP_plus) */
.cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x40, 0xff, 0xff, 0xff, 0x22
# LOE rbx r12 r13 r14 r15 zmm0
/* Scalar math function call
* to process special input
*/
L(SCALAR_MATH_CALL):
movl %r12d, %r14d
vmovsd 64(%rsp, %r14, 8), %xmm0
call log10@PLT
# LOE rbx r14 r15 r12d r13d xmm0
vmovsd %xmm0, 128(%rsp, %r14, 8)
/* Process special inputs in loop */
jmp L(SPECIAL_VALUES_LOOP)
# LOE rbx r15 r12d r13d
END(_ZGVeN8v_log10_skx)
.section .rodata, "a"
.align 64
#ifdef __svml_dlog10_data_internal_avx512_typedef
typedef unsigned int VUINT32;
typedef struct {
__declspec(align(64)) VUINT32 Log_tbl[16][2];
__declspec(align(64)) VUINT32 One[8][2];
__declspec(align(64)) VUINT32 C075[8][2];
__declspec(align(64)) VUINT32 poly_coeff9[8][2];
__declspec(align(64)) VUINT32 poly_coeff8[8][2];
__declspec(align(64)) VUINT32 poly_coeff7[8][2];
__declspec(align(64)) VUINT32 poly_coeff6[8][2];
__declspec(align(64)) VUINT32 poly_coeff5[8][2];
__declspec(align(64)) VUINT32 poly_coeff4[8][2];
__declspec(align(64)) VUINT32 poly_coeff3[8][2];
__declspec(align(64)) VUINT32 poly_coeff2[8][2];
__declspec(align(64)) VUINT32 poly_coeff1[8][2];
__declspec(align(64)) VUINT32 L2[8][2];
} __svml_dlog10_data_internal_avx512;
#endif
__svml_dlog10_data_internal_avx512:
/* Log_tbl */
.quad 0x0000000000000000
.quad 0xbf9af5f92b00e610
.quad 0xbfaa30a9d609efea
.quad 0xbfb31b3055c47118
.quad 0xbfb8cf183886480d
.quad 0xbfbe3bc1ab0e19fe
.quad 0xbfc1b3e71ec94f7b
.quad 0xbfc42c7e7fe3fc02
.quad 0x3fbffbfc2bbc7803
.quad 0x3fbb721cd17157e3
.quad 0x3fb715d0ce367afc
.quad 0x3fb2e3a740b7800f
.quad 0x3fadb11ed766abf4
.quad 0x3fa5e3966b7e9295
.quad 0x3f9cb38fccd8bfdb
.quad 0x3f8c3d0837784c41
/* One */
.align 64
.quad 0x3ff0000000000000, 0x3ff0000000000000, 0x3ff0000000000000, 0x3ff0000000000000, 0x3ff0000000000000, 0x3ff0000000000000, 0x3ff0000000000000, 0x3ff0000000000000
/* 0.75 */
.align 64
.quad 0x3fe8000000000000, 0x3fe8000000000000, 0x3fe8000000000000, 0x3fe8000000000000, 0x3fe8000000000000, 0x3fe8000000000000, 0x3fe8000000000000, 0x3fe8000000000000
/* poly_coeff9 */
.align 64
.quad 0x3fa8c2d828480370, 0x3fa8c2d828480370, 0x3fa8c2d828480370, 0x3fa8c2d828480370, 0x3fa8c2d828480370, 0x3fa8c2d828480370, 0x3fa8c2d828480370, 0x3fa8c2d828480370
/* poly_coeff8 */
.align 64
.quad 0xbfabd80d96029814, 0xbfabd80d96029814, 0xbfabd80d96029814, 0xbfabd80d96029814, 0xbfabd80d96029814, 0xbfabd80d96029814, 0xbfabd80d96029814, 0xbfabd80d96029814
/* poly_coeff7 */
.align 64
.quad 0x3fafc3f6f38b58a2, 0x3fafc3f6f38b58a2, 0x3fafc3f6f38b58a2, 0x3fafc3f6f38b58a2, 0x3fafc3f6f38b58a2, 0x3fafc3f6f38b58a2, 0x3fafc3f6f38b58a2, 0x3fafc3f6f38b58a2
/* poly_coeff6 */
.align 64
.quad 0xbfb287a63464dc80, 0xbfb287a63464dc80, 0xbfb287a63464dc80, 0xbfb287a63464dc80, 0xbfb287a63464dc80, 0xbfb287a63464dc80, 0xbfb287a63464dc80, 0xbfb287a63464dc80
/* poly_coeff5 */
.align 64
.quad 0x3fb63c62777f27d9, 0x3fb63c62777f27d9, 0x3fb63c62777f27d9, 0x3fb63c62777f27d9, 0x3fb63c62777f27d9, 0x3fb63c62777f27d9, 0x3fb63c62777f27d9, 0x3fb63c62777f27d9
/* poly_coeff4 */
.align 64
.quad 0xbfbbcb7b153c06a3, 0xbfbbcb7b153c06a3, 0xbfbbcb7b153c06a3, 0xbfbbcb7b153c06a3, 0xbfbbcb7b153c06a3, 0xbfbbcb7b153c06a3, 0xbfbbcb7b153c06a3, 0xbfbbcb7b153c06a3
/* poly_coeff3 */
.align 64
.quad 0x3fc287a7636f428c, 0x3fc287a7636f428c, 0x3fc287a7636f428c, 0x3fc287a7636f428c, 0x3fc287a7636f428c, 0x3fc287a7636f428c, 0x3fc287a7636f428c, 0x3fc287a7636f428c
/* poly_coeff2 */
.align 64
.quad 0xbfcbcb7b1526e4db, 0xbfcbcb7b1526e4db, 0xbfcbcb7b1526e4db, 0xbfcbcb7b1526e4db, 0xbfcbcb7b1526e4db, 0xbfcbcb7b1526e4db, 0xbfcbcb7b1526e4db, 0xbfcbcb7b1526e4db
/* poly_coeff1 */
.align 64
.quad 0x3fdbcb7b1526e50e, 0x3fdbcb7b1526e50e, 0x3fdbcb7b1526e50e, 0x3fdbcb7b1526e50e, 0x3fdbcb7b1526e50e, 0x3fdbcb7b1526e50e, 0x3fdbcb7b1526e50e, 0x3fdbcb7b1526e50e
/* L2 */
.align 64
.quad 0x3fd34413509f79ff, 0x3fd34413509f79ff, 0x3fd34413509f79ff, 0x3fd34413509f79ff, 0x3fd34413509f79ff, 0x3fd34413509f79ff, 0x3fd34413509f79ff, 0x3fd34413509f79ff
.align 64
.type __svml_dlog10_data_internal_avx512, @object
.size __svml_dlog10_data_internal_avx512, .-__svml_dlog10_data_internal_avx512
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