/* Function log vectorized with AVX2.

   Copyright (C) 2014-2018 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

   <http://www.gnu.org/licenses/>.  */

#include <sysdep.h>

#include "svml_d_log_data.h"

	.text

ENTRY (_ZGVdN4v_log_avx2)

/* ALGORITHM DESCRIPTION:

    log(x) = -log(Rcp) + log(Rcp*x),

    where Rcp ~ 1/x (accuracy ~9 bits, obtained by rounding

    HW approximation to 1+9 mantissa bits)

    Reduced argument R=Rcp*x-1 is used to approximate log(1+R) as polynomial

    log(Rcp) = exponent_Rcp*log(2) + log(mantissa_Rcp)

      -log(mantissa_Rcp) is obtained from a lookup table,

      accessed by a 9-bit index

 */

        pushq     %rbp

        cfi_adjust_cfa_offset (8)

        cfi_rel_offset (%rbp, 0)

        movq      %rsp, %rbp

        cfi_def_cfa_register (%rbp)

        andq      $-64, %rsp

        subq      $448, %rsp

        movq      __svml_dlog_data@GOTPCREL(%rip), %rax

        vmovdqa   %ymm0, %ymm5

/* isolate exponent bits */

        vpsrlq    $20, %ymm5, %ymm0

/* preserve mantissa, set input exponent to 2^(-10) */

        vandpd _ExpMask(%rax), %ymm5, %ymm6

        vorpd _Two10(%rax), %ymm6, %ymm4

/* reciprocal approximation good to at least 11 bits */

        vcvtpd2ps %ymm4, %xmm7

        vrcpps    %xmm7, %xmm1

        vcmplt_oqpd _MinNorm(%rax), %ymm5, %ymm7

        vcvtps2pd %xmm1, %ymm3

        vcmpnle_uqpd _MaxNorm(%rax), %ymm5, %ymm1

        vextracti128 $1, %ymm0, %xmm2

        vshufps   $221, %xmm2, %xmm0, %xmm6

/* round reciprocal to nearest integer, will have 1+9 mantissa bits */

        vroundpd  $0, %ymm3, %ymm2

/* convert biased exponent to DP format */

        vcvtdq2pd %xmm6, %ymm0

/* combine and get argument value range mask */

        vorpd     %ymm1, %ymm7, %ymm3

        vmovupd _One(%rax), %ymm1

        vmovmskpd %ymm3, %ecx

/* calculate index for table lookup */

        vpsrlq    $40, %ymm2, %ymm3

/* argument reduction started:  R = Mantissa*Rcp - 1 */

        vfmsub213pd %ymm1, %ymm2, %ymm4

        vcmpgt_oqpd _Threshold(%rax), %ymm2, %ymm2

        vpcmpeqd  %ymm6, %ymm6, %ymm6

        vxorpd    %ymm1, %ymm1, %ymm1

        vgatherqpd %ymm6, _LogRcp_lookup(%rax,%ymm3), %ymm1

/* exponent*log(2.0) */

        vmovupd _poly_coeff_1(%rax), %ymm6

        vmulpd    %ymm4, %ymm4, %ymm3

/* polynomial computation */

        vfmadd213pd _poly_coeff_2(%rax), %ymm4, %ymm6

        vandpd _Bias(%rax), %ymm2, %ymm7

        vorpd _Bias1(%rax), %ymm7, %ymm2

/*

   Table stores -log(0.5*mantissa) for larger mantissas,

   adjust exponent accordingly

 */

        vsubpd    %ymm2, %ymm0, %ymm0

        vmovupd _poly_coeff_3(%rax), %ymm2

        vfmadd213pd _poly_coeff_4(%rax), %ymm4, %ymm2

        vfmadd213pd %ymm2, %ymm3, %ymm6

/*

   reconstruction:

   (exponent*log(2)) + (LogRcp + (R+poly))

 */

        vfmadd213pd %ymm4, %ymm3, %ymm6

        vaddpd    %ymm1, %ymm6, %ymm4

        vfmadd132pd _L2(%rax), %ymm4, %ymm0

        testl     %ecx, %ecx

        jne       .LBL_1_3

.LBL_1_2:

        cfi_remember_state

        movq      %rbp, %rsp

        cfi_def_cfa_register (%rsp)

        popq      %rbp

        cfi_adjust_cfa_offset (-8)

        cfi_restore (%rbp)

        ret

.LBL_1_3:

        cfi_restore_state

        vmovupd   %ymm5, 320(%rsp)

        vmovupd   %ymm0, 384(%rsp)

        je        .LBL_1_2

        xorb      %dl, %dl

        xorl      %eax, %eax

        vmovups   %ymm8, 224(%rsp)

        vmovups   %ymm9, 192(%rsp)

        vmovups   %ymm10, 160(%rsp)

        vmovups   %ymm11, 128(%rsp)

        vmovups   %ymm12, 96(%rsp)

        vmovups   %ymm13, 64(%rsp)

        vmovups   %ymm14, 32(%rsp)

        vmovups   %ymm15, (%rsp)

        movq      %rsi, 264(%rsp)

        movq      %rdi, 256(%rsp)

        movq      %r12, 296(%rsp)

        cfi_offset_rel_rsp (12, 296)

        movb      %dl, %r12b

        movq      %r13, 288(%rsp)

        cfi_offset_rel_rsp (13, 288)

        movl      %ecx, %r13d

        movq      %r14, 280(%rsp)

        cfi_offset_rel_rsp (14, 280)

        movl      %eax, %r14d

        movq      %r15, 272(%rsp)

        cfi_offset_rel_rsp (15, 272)

        cfi_remember_state

.LBL_1_6:

        btl       %r14d, %r13d

        jc        .LBL_1_12

.LBL_1_7:

        lea       1(%r14), %esi

        btl       %esi, %r13d

        jc        .LBL_1_10

.LBL_1_8:

        incb      %r12b

        addl      $2, %r14d

        cmpb      $16, %r12b

        jb        .LBL_1_6

        vmovups   224(%rsp), %ymm8

        vmovups   192(%rsp), %ymm9

        vmovups   160(%rsp), %ymm10

        vmovups   128(%rsp), %ymm11

        vmovups   96(%rsp), %ymm12

        vmovups   64(%rsp), %ymm13

        vmovups   32(%rsp), %ymm14

        vmovups   (%rsp), %ymm15

        vmovupd   384(%rsp), %ymm0

        movq      264(%rsp), %rsi

        movq      256(%rsp), %rdi

        movq      296(%rsp), %r12

        cfi_restore (%r12)

        movq      288(%rsp), %r13

        cfi_restore (%r13)

        movq      280(%rsp), %r14

        cfi_restore (%r14)

        movq      272(%rsp), %r15

        cfi_restore (%r15)

        jmp       .LBL_1_2

.LBL_1_10:

        cfi_restore_state

        movzbl    %r12b, %r15d

        shlq      $4, %r15

        vmovsd    328(%rsp,%r15), %xmm0

        vzeroupper

        call      JUMPTARGET(__log_finite)

        vmovsd    %xmm0, 392(%rsp,%r15)

        jmp       .LBL_1_8

.LBL_1_12:

        movzbl    %r12b, %r15d

        shlq      $4, %r15

        vmovsd    320(%rsp,%r15), %xmm0

        vzeroupper

        call      JUMPTARGET(__log_finite)

        vmovsd    %xmm0, 384(%rsp,%r15)

        jmp       .LBL_1_7

END (_ZGVdN4v_log_avx2)