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/* Function acosf vectorized with AVX2.
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:
*
* 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 32
#define SmallNorm 64
#define MOne 96
#define Two 128
#define sqrt_coeff 160
#define poly_coeff 224
#define Pi2H 384
#define PiH 416
#include <sysdep.h>
.section .text.avx2, "ax", @progbits
ENTRY(_ZGVdN8v_acosf_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
/*
* 2*sqrt(X) ~ Sh - Sl (to 24+ bits)
* SQ ~ 2*sqrt(X)
*/
vmovups __svml_sacos_data_internal(%rip), %ymm6
vmovups OneHalf+__svml_sacos_data_internal(%rip), %ymm7
vmovaps %ymm0, %ymm5
/* x = -|arg| */
vorps %ymm5, %ymm6, %ymm4
/* Y = 0.5 + 0.5*(-x) */
vfmadd231ps %ymm4, %ymm7, %ymm7
/* x^2 */
vmulps %ymm4, %ymm4, %ymm8
/* SQ ~ 2*sqrt(Y) */
vmovups sqrt_coeff+__svml_sacos_data_internal(%rip), %ymm0
vcmpnge_uqps MOne+__svml_sacos_data_internal(%rip), %ymm4, %ymm9
vcmplt_oqps SmallNorm+__svml_sacos_data_internal(%rip), %ymm7, %ymm10
vminps %ymm7, %ymm8, %ymm2
vaddps %ymm7, %ymm7, %ymm14
vrsqrtps %ymm7, %ymm11
vmovups poly_coeff+64+__svml_sacos_data_internal(%rip), %ymm8
vcmpnlt_uqps %ymm7, %ymm2, %ymm1
vmulps %ymm2, %ymm2, %ymm7
vfmadd213ps poly_coeff+96+__svml_sacos_data_internal(%rip), %ymm2, %ymm8
vmovmskps %ymm9, %edx
/* polynomial */
vmovups poly_coeff+__svml_sacos_data_internal(%rip), %ymm9
vandnps %ymm11, %ymm10, %ymm12
vmulps %ymm12, %ymm12, %ymm13
vfmadd213ps poly_coeff+32+__svml_sacos_data_internal(%rip), %ymm2, %ymm9
/* X<X^2 iff X<0 */
vcmplt_oqps %ymm2, %ymm5, %ymm10
vfmadd213ps %ymm8, %ymm7, %ymm9
vandps %ymm5, %ymm6, %ymm3
vmulps %ymm14, %ymm12, %ymm6
vfmsub213ps Two+__svml_sacos_data_internal(%rip), %ymm13, %ymm14
vfmadd213ps poly_coeff+128+__svml_sacos_data_internal(%rip), %ymm2, %ymm9
vfmadd213ps sqrt_coeff+32+__svml_sacos_data_internal(%rip), %ymm14, %ymm0
vmulps %ymm14, %ymm6, %ymm15
vmulps %ymm9, %ymm2, %ymm14
vfnmadd213ps %ymm6, %ymm15, %ymm0
vblendvps %ymm1, %ymm0, %ymm4, %ymm0
vandps PiH+__svml_sacos_data_internal(%rip), %ymm1, %ymm2
vandnps Pi2H+__svml_sacos_data_internal(%rip), %ymm1, %ymm12
vxorps %ymm3, %ymm0, %ymm1
vfmadd213ps %ymm1, %ymm1, %ymm14
vandps %ymm10, %ymm2, %ymm11
vaddps %ymm12, %ymm11, %ymm13
vaddps %ymm14, %ymm13, %ymm0
testl %edx, %edx
/* Go to special inputs processing branch */
jne L(SPECIAL_VALUES_BRANCH)
# LOE rbx r12 r13 r14 r15 edx ymm0 ymm5
/* 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 %ymm5, 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
vmovss 32(%rsp, %r14, 4), %xmm0
call acosf@PLT
# LOE rbx r14 r15 r12d r13d xmm0
vmovss %xmm0, 64(%rsp, %r14, 4)
/* Process special inputs in loop */
jmp L(SPECIAL_VALUES_LOOP)
# LOE rbx r15 r12d r13d
END(_ZGVdN8v_acosf_avx2)
.section .rodata, "a"
.align 32
#ifdef __svml_sacos_data_internal_typedef
typedef unsigned int VUINT32;
typedef struct {
__declspec(align(32)) VUINT32 SgnBit[8][1];
__declspec(align(32)) VUINT32 OneHalf[8][1];
__declspec(align(32)) VUINT32 SmallNorm[8][1];
__declspec(align(32)) VUINT32 MOne[8][1];
__declspec(align(32)) VUINT32 Two[8][1];
__declspec(align(32)) VUINT32 sqrt_coeff[2][8][1];
__declspec(align(32)) VUINT32 poly_coeff[5][8][1];
__declspec(align(32)) VUINT32 Pi2H[8][1];
__declspec(align(32)) VUINT32 PiH[8][1];
} __svml_sacos_data_internal;
#endif
__svml_sacos_data_internal:
/* SgnBit */
.long 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000
/* OneHalf */
.align 32
.long 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000
/* SmallNorm */
.align 32
.long 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000
/* MOne */
.align 32
.long 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000
/* Two */
.align 32
.long 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000
/* sqrt_coeff[2] */
.align 32
.long 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004 /* sqrt_coeff2 */
.long 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001 /* sqrt_coeff1 */
/* poly_coeff[5] */
.align 32
.long 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07 /* poly_coeff5 */
.long 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B /* poly_coeff4 */
.long 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4 /* poly_coeff3 */
.long 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12 /* poly_coeff2 */
.long 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF /* poly_coeff1 */
/* Pi2H */
.align 32
.long 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB
/* PiH */
.align 32
.long 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB
.align 32
.type __svml_sacos_data_internal, @object
.size __svml_sacos_data_internal, .-__svml_sacos_data_internal
|
