/* Function log1pf 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:
 *
 *    1+x = 2^k*(xh + xl) is computed in high-low parts; xh in [1,2)
 *    Get short reciprocal approximation Rcp ~ 1/xh
 *    R = (Rcp*xh - 1.0) + Rcp*xl
 *    log1p(x) = k*log(2.0) - log(Rcp) + poly(R)
 *       log(Rcp) is tabulated
 *
 *
 */

/* Offsets for data table __svml_slog1p_data_internal
 */
#define SgnMask                       	0
#define sOne                          	64
#define sPoly_1                       	128
#define sPoly_2                       	192
#define sPoly_3                       	256
#define sPoly_4                       	320
#define sPoly_5                       	384
#define sPoly_6                       	448
#define sPoly_7                       	512
#define sPoly_8                       	576
#define iHiDelta                      	640
#define iLoRange                      	704
#define iBrkValue                     	768
#define iOffExpoMask                  	832
#define sLn2                          	896

#include <sysdep.h>

        .text
	.section .text.exex512,"ax",@progbits
ENTRY(_ZGVeN16v_log1pf_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   sOne+__svml_slog1p_data_internal(%rip), %zmm2

/* reduction: compute r,n */
        vmovups   iBrkValue+__svml_slog1p_data_internal(%rip), %zmm12
        vmovups   SgnMask+__svml_slog1p_data_internal(%rip), %zmm4
        vmovaps   %zmm0, %zmm3

/* compute 1+x as high, low parts */
        vmaxps    {sae}, %zmm3, %zmm2, %zmm5
        vminps    {sae}, %zmm3, %zmm2, %zmm7
        vandnps   %zmm3, %zmm4, %zmm1
        vpternlogd $255, %zmm4, %zmm4, %zmm4
        vaddps    {rn-sae}, %zmm7, %zmm5, %zmm9
        vpsubd    %zmm12, %zmm9, %zmm10
        vsubps    {rn-sae}, %zmm9, %zmm5, %zmm6

/* check argument value ranges */
        vpaddd    iHiDelta+__svml_slog1p_data_internal(%rip), %zmm9, %zmm8
        vpsrad    $23, %zmm10, %zmm13
        vmovups   sPoly_5+__svml_slog1p_data_internal(%rip), %zmm9
        vpcmpd    $5, iLoRange+__svml_slog1p_data_internal(%rip), %zmm8, %k1
        vpslld    $23, %zmm13, %zmm14
        vaddps    {rn-sae}, %zmm7, %zmm6, %zmm15
        vcvtdq2ps {rn-sae}, %zmm13, %zmm0
        vpsubd    %zmm14, %zmm2, %zmm13
        vmovups   sPoly_8+__svml_slog1p_data_internal(%rip), %zmm7
        vmovups   sPoly_1+__svml_slog1p_data_internal(%rip), %zmm14
        vmulps    {rn-sae}, %zmm13, %zmm15, %zmm6
        vpandd    iOffExpoMask+__svml_slog1p_data_internal(%rip), %zmm10, %zmm11
        vpaddd    %zmm12, %zmm11, %zmm5
        vmovups   sPoly_4+__svml_slog1p_data_internal(%rip), %zmm10
        vmovups   sPoly_3+__svml_slog1p_data_internal(%rip), %zmm11
        vmovups   sPoly_2+__svml_slog1p_data_internal(%rip), %zmm12

/* polynomial evaluation */
        vsubps    {rn-sae}, %zmm2, %zmm5, %zmm2
        vaddps    {rn-sae}, %zmm6, %zmm2, %zmm15
        vmovups   sPoly_7+__svml_slog1p_data_internal(%rip), %zmm2
        vfmadd231ps {rn-sae}, %zmm15, %zmm7, %zmm2
        vpandnd   %zmm8, %zmm8, %zmm4{%k1}
        vmovups   sPoly_6+__svml_slog1p_data_internal(%rip), %zmm8

/* combine and get argument value range mask */
        vptestmd  %zmm4, %zmm4, %k0
        vfmadd213ps {rn-sae}, %zmm8, %zmm15, %zmm2
        kmovw     %k0, %edx
        vfmadd213ps {rn-sae}, %zmm9, %zmm15, %zmm2
        vfmadd213ps {rn-sae}, %zmm10, %zmm15, %zmm2
        vfmadd213ps {rn-sae}, %zmm11, %zmm15, %zmm2
        vfmadd213ps {rn-sae}, %zmm12, %zmm15, %zmm2
        vfmadd213ps {rn-sae}, %zmm14, %zmm15, %zmm2
        vmulps    {rn-sae}, %zmm15, %zmm2, %zmm4
        vfmadd213ps {rn-sae}, %zmm15, %zmm15, %zmm4

/* final reconstruction */
        vmovups   sLn2+__svml_slog1p_data_internal(%rip), %zmm15
        vfmadd213ps {rn-sae}, %zmm4, %zmm15, %zmm0
        vorps     %zmm1, %zmm0, %zmm0
        testl     %edx, %edx

/* Go to special inputs processing branch */
        jne       L(SPECIAL_VALUES_BRANCH)
                                # LOE rbx r12 r13 r14 r15 edx zmm0 zmm3

/* 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   %zmm3, 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      log1pf@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_log1pf_skx)

        .section .rodata, "a"
        .align 64

#ifdef __svml_slog1p_data_internal_typedef
typedef unsigned int VUINT32;
typedef struct {
        __declspec(align(64)) VUINT32 SgnMask[16][1];
        __declspec(align(64)) VUINT32 sOne[16][1];
        __declspec(align(64)) VUINT32 sPoly[8][16][1];
        __declspec(align(64)) VUINT32 iHiDelta[16][1];
        __declspec(align(64)) VUINT32 iLoRange[16][1];
        __declspec(align(64)) VUINT32 iBrkValue[16][1];
        __declspec(align(64)) VUINT32 iOffExpoMask[16][1];
        __declspec(align(64)) VUINT32 sLn2[16][1];
} __svml_slog1p_data_internal;
#endif
__svml_slog1p_data_internal:
        /*== SgnMask ==*/
        .long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff
        /*== sOne = SP 1.0 ==*/
        .align 64
        .long 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000
        /*== sPoly[] = SP polynomial ==*/
        .align 64
        .long 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000 /* -5.0000000000000000000000000e-01 P0 */
        .long 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94 /*  3.3333265781402587890625000e-01 P1 */
        .long 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e /* -2.5004237890243530273437500e-01 P2 */
        .long 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190 /*  2.0007920265197753906250000e-01 P3 */
        .long 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37 /* -1.6472326219081878662109375e-01 P4 */
        .long 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12 /*  1.4042308926582336425781250e-01 P5 */
        .long 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3 /* -1.5122179687023162841796875e-01 P6 */
        .long 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed /*  1.3820238411426544189453125e-01 P7 */
        /*== iHiDelta = SP 80000000-7f000000 ==*/
        .align 64
        .long 0x01000000, 0x01000000, 0x01000000, 0x01000000, 0x01000000, 0x01000000, 0x01000000, 0x01000000, 0x01000000, 0x01000000, 0x01000000, 0x01000000, 0x01000000, 0x01000000, 0x01000000, 0x01000000
        /*== iLoRange = SP 00800000+iHiDelta ==*/
        .align 64
        .long 0x01800000, 0x01800000, 0x01800000, 0x01800000, 0x01800000, 0x01800000, 0x01800000, 0x01800000, 0x01800000, 0x01800000, 0x01800000, 0x01800000, 0x01800000, 0x01800000, 0x01800000, 0x01800000
        /*== iBrkValue = SP 2/3 ==*/
        .align 64
        .long 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab
        /*== iOffExpoMask = SP significand mask ==*/
        .align 64
        .long 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff
        /*== sLn2 = SP ln(2) ==*/
        .align 64
        .long 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218
        .align 64
        .type	__svml_slog1p_data_internal,@object
        .size	__svml_slog1p_data_internal,.-__svml_slog1p_data_internal
