/* Function acosf vectorized with AVX-512.
   Copyright (C) 2021-2022 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
