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/* Function acosf vectorized with AVX-512.
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:
*
* SelMask = (|x| >= 0.5) ? 1 : 0;
* R = SelMask ? sqrt(0.5 - 0.5*|x|) : |x|
* acos(|x|) = SelMask ? 2*Poly(R) : (Pi/2 - Poly(R))
* acos(x) = sign(x) ? (Pi - acos(|x|)) : acos(|x|)
*
*
*/
/* Offsets for data table __svml_sacos_data_internal
*/
#define SgnBit 0
#define OneHalf 64
#define SmallNorm 128
#define MOne 192
#define Two 256
#define sqrt_coeff_1 320
#define sqrt_coeff_2 384
#define poly_coeff_1 448
#define poly_coeff_2 512
#define poly_coeff_3 576
#define poly_coeff_4 640
#define poly_coeff_5 704
#define Pi2H 768
#define PiH 832
#include <sysdep.h>
.text
.section .text.exex512,"ax",@progbits
ENTRY(_ZGVeN16v_acosf_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
vmovups __svml_sacos_data_internal(%rip), %zmm5
vmovups OneHalf+__svml_sacos_data_internal(%rip), %zmm6
/* SQ ~ 2*sqrt(Y) */
vmovups SmallNorm+__svml_sacos_data_internal(%rip), %zmm9
vmovups MOne+__svml_sacos_data_internal(%rip), %zmm8
vmovups Two+__svml_sacos_data_internal(%rip), %zmm12
vmovups sqrt_coeff_1+__svml_sacos_data_internal(%rip), %zmm13
vmovaps %zmm0, %zmm4
/* x = -|arg| */
vorps %zmm4, %zmm5, %zmm3
vandps %zmm4, %zmm5, %zmm2
vmovups sqrt_coeff_2+__svml_sacos_data_internal(%rip), %zmm0
/* Y = 0.5 + 0.5*(-x) */
vfmadd231ps {rn-sae}, %zmm3, %zmm6, %zmm6
/* x^2 */
vmulps {rn-sae}, %zmm3, %zmm3, %zmm7
vrsqrt14ps %zmm6, %zmm10
vcmpps $17, {sae}, %zmm9, %zmm6, %k1
vcmpps $22, {sae}, %zmm3, %zmm8, %k0
vmovups poly_coeff_4+__svml_sacos_data_internal(%rip), %zmm9
vminps {sae}, %zmm6, %zmm7, %zmm1
vmovups poly_coeff_3+__svml_sacos_data_internal(%rip), %zmm7
vxorps %zmm10, %zmm10, %zmm10{%k1}
vaddps {rn-sae}, %zmm6, %zmm6, %zmm14
vmulps {rn-sae}, %zmm1, %zmm1, %zmm8
vmulps {rn-sae}, %zmm10, %zmm10, %zmm11
vmulps {rn-sae}, %zmm10, %zmm14, %zmm5
vcmpps $21, {sae}, %zmm6, %zmm1, %k4
/* X<X^2 iff X<0 */
vcmpps $17, {sae}, %zmm1, %zmm4, %k2
/* polynomial */
vmovups poly_coeff_1+__svml_sacos_data_internal(%rip), %zmm6
vfmsub213ps {rn-sae}, %zmm12, %zmm11, %zmm14
vmovups poly_coeff_2+__svml_sacos_data_internal(%rip), %zmm11
vfmadd231ps {rn-sae}, %zmm1, %zmm7, %zmm9
vmovups poly_coeff_5+__svml_sacos_data_internal(%rip), %zmm10
vmovups Pi2H+__svml_sacos_data_internal(%rip), %zmm12
vfmadd231ps {rn-sae}, %zmm14, %zmm13, %zmm0
vfmadd231ps {rn-sae}, %zmm1, %zmm6, %zmm11
vmulps {rn-sae}, %zmm14, %zmm5, %zmm15
vfmadd213ps {rn-sae}, %zmm9, %zmm8, %zmm11
vxorps %zmm12, %zmm12, %zmm12{%k4}
vfnmadd213ps {rn-sae}, %zmm5, %zmm15, %zmm0
vfmadd213ps {rn-sae}, %zmm10, %zmm1, %zmm11
kmovw %k0, %edx
vmulps {rn-sae}, %zmm1, %zmm11, %zmm13
vblendmps %zmm0, %zmm3, %zmm0{%k4}
vxorps %zmm2, %zmm0, %zmm1
kandw %k4, %k2, %k3
vfmadd213ps {rn-sae}, %zmm1, %zmm1, %zmm13
vorps PiH+__svml_sacos_data_internal(%rip), %zmm12, %zmm12{%k3}
vaddps {rn-sae}, %zmm13, %zmm12, %zmm0
testl %edx, %edx
/* Go to special inputs processing branch */
jne L(SPECIAL_VALUES_BRANCH)
# LOE rbx r12 r13 r14 r15 edx zmm0 zmm4
/* 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 %zmm4, 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 $16, %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 fucntion call
* to process special input
*/
L(SCALAR_MATH_CALL):
movl %r12d, %r14d
movss 64(%rsp,%r14,4), %xmm0
call acosf@PLT
# LOE rbx r14 r15 r12d r13d xmm0
movss %xmm0, 128(%rsp,%r14,4)
/* Process special inputs in loop */
jmp L(SPECIAL_VALUES_LOOP)
# LOE rbx r15 r12d r13d
END(_ZGVeN16v_acosf_skx)
.section .rodata, "a"
.align 64
#ifdef __svml_sacos_data_internal_typedef
typedef unsigned int VUINT32;
typedef struct {
__declspec(align(64)) VUINT32 SgnBit[16][1];
__declspec(align(64)) VUINT32 OneHalf[16][1];
__declspec(align(64)) VUINT32 SmallNorm[16][1];
__declspec(align(64)) VUINT32 MOne[16][1];
__declspec(align(64)) VUINT32 Two[16][1];
__declspec(align(64)) VUINT32 sqrt_coeff[2][16][1];
__declspec(align(64)) VUINT32 poly_coeff[5][16][1];
__declspec(align(64)) VUINT32 Pi2H[16][1];
__declspec(align(64)) VUINT32 PiH[16][1];
} __svml_sacos_data_internal;
#endif
__svml_sacos_data_internal:
/*== SgnBit ==*/
.long 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000
/*== OneHalf ==*/
.align 64
.long 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000
/*== SmallNorm ==*/
.align 64
.long 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000
/*== MOne ==*/
.align 64
.long 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000
/*== Two ==*/
.align 64
.long 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000
/*== sqrt_coeff[2] ==*/
.align 64
.long 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004 /* sqrt_coeff2 */
.long 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001 /* sqrt_coeff1 */
/*== poly_coeff[5] ==*/
.align 64
.long 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07 /* poly_coeff5 */
.long 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B /* poly_coeff4 */
.long 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4 /* poly_coeff3 */
.long 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12 /* poly_coeff2 */
.long 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF /* poly_coeff1 */
/*== Pi2H ==*/
.align 64
.long 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB
/*== PiH ==*/
.align 64
.long 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB
.align 64
.type __svml_sacos_data_internal,@object
.size __svml_sacos_data_internal,.-__svml_sacos_data_internal
|
