/*******************************************************************************
* INTEL CONFIDENTIAL
* Copyright 1996-2023 Intel Corporation.
*
* This software and the related documents are Intel copyrighted  materials,  and
* your use of  them is  governed by the  express license  under which  they were
* provided to you (License).  Unless the License provides otherwise, you may not
* use, modify, copy, publish, distribute,  disclose or transmit this software or
* the related documents without Intel's prior written permission.
*
* This software and the related documents  are provided as  is,  with no express
* or implied  warranties,  other  than those  that are  expressly stated  in the
* License.
*******************************************************************************/

/*
 * ALGORITHM DESCRIPTION:
 * 
 *   x=2^{3*k+j} * 1.b1 b2 ... b5 b6 ... b52
 *   Let r=(x*2^{-3k-j} - 1.b1 b2 ... b5 1)* rcp[b1 b2 ..b5],
 *   where rcp[b1 b2 .. b5]=1/(1.b1 b2 b3 b4 b5 1) in double precision
 *   cbrt(2^j * 1. b1 b2 .. b5 1) is approximated as T[j][b1..b5]+D[j][b1..b5]
 *   (T stores the high 53 bits, D stores the low order bits)
 *   Result=2^k*T+(2^k*T*r)*P+2^k*D
 *   where P=p1+p2*r+..+p8*r^7
 * 
 */


	.file   "svml_z0_cbrt_d_ha.s"
	.text
.L_2__routine_start___svml_cbrt8_ha_z0_0:

	.align    16,0x90
	.globl __svml_cbrt8_ha

__svml_cbrt8_ha:


	.cfi_startproc
..L2:


/* GetExp(x) */
        vgetexppd {sae}, %zmm0, %zmm9
        vmovups   384+__svml_dcbrt_ha_data_internal_avx512(%rip), %zmm10
        vgetmantpd $0, {sae}, %zmm0, %zmm2

/* exponent/3 */
        vmovups   512+__svml_dcbrt_ha_data_internal_avx512(%rip), %zmm11
        vmovups   576+__svml_dcbrt_ha_data_internal_avx512(%rip), %zmm12

/* exponent%3 (to be used as index) */
        vmovups   640+__svml_dcbrt_ha_data_internal_avx512(%rip), %zmm13

/* Table lookup */
        vmovups   128+__svml_dcbrt_ha_data_internal_avx512(%rip), %zmm1

/* Reduced argument: R = DblRcp*Mantissa - 1 */
        vmovups   704+__svml_dcbrt_ha_data_internal_avx512(%rip), %zmm4

/* DblRcp ~ 1/Mantissa */
        vrcp14pd  %zmm2, %zmm15
        vaddpd    {rn-sae}, %zmm10, %zmm9, %zmm14
        vandpd    448+__svml_dcbrt_ha_data_internal_avx512(%rip), %zmm0, %zmm8

/* round DblRcp to 3 fractional bits (RN mode, no Precision exception) */
        vrndscalepd $72, {sae}, %zmm15, %zmm3
        vfmsub231pd {rn-sae}, %zmm14, %zmm11, %zmm12
        vmovups   256+__svml_dcbrt_ha_data_internal_avx512(%rip), %zmm11

/* polynomial */
        vmovups   768+__svml_dcbrt_ha_data_internal_avx512(%rip), %zmm9
        vmovups   896+__svml_dcbrt_ha_data_internal_avx512(%rip), %zmm10
        vfmsub231pd {rn-sae}, %zmm3, %zmm2, %zmm4
        vrndscalepd $9, {sae}, %zmm12, %zmm7

/* Prepare table index */
        vpsrlq    $49, %zmm3, %zmm0
        vmovups   832+__svml_dcbrt_ha_data_internal_avx512(%rip), %zmm3
        vfnmadd231pd {rn-sae}, %zmm7, %zmm13, %zmm14
        vmovups   1024+__svml_dcbrt_ha_data_internal_avx512(%rip), %zmm13
        vfmadd231pd {rn-sae}, %zmm4, %zmm9, %zmm3
        vmovups   1088+__svml_dcbrt_ha_data_internal_avx512(%rip), %zmm9

/* Table lookup: 2^(exponent%3) */
        vpermpd   __svml_dcbrt_ha_data_internal_avx512(%rip), %zmm14, %zmm6
        vpermt2pd 192+__svml_dcbrt_ha_data_internal_avx512(%rip), %zmm0, %zmm1
        vpermt2pd 320+__svml_dcbrt_ha_data_internal_avx512(%rip), %zmm0, %zmm11
        vpermpd   64+__svml_dcbrt_ha_data_internal_avx512(%rip), %zmm14, %zmm5

/* (Sh*Th)_high */
        vmulpd    {rn-sae}, %zmm1, %zmm6, %zmm2
        vmulpd    {rn-sae}, %zmm4, %zmm4, %zmm0
        vmovups   960+__svml_dcbrt_ha_data_internal_avx512(%rip), %zmm14
        vfmadd231pd {rn-sae}, %zmm4, %zmm13, %zmm9
        vfmadd231pd {rn-sae}, %zmm4, %zmm10, %zmm14
        vmovups   1216+__svml_dcbrt_ha_data_internal_avx512(%rip), %zmm10
        vfmadd213pd {rn-sae}, %zmm14, %zmm0, %zmm3

/* (Sh*Th)_low */
        vmovaps   %zmm6, %zmm12
        vfmsub213pd {rn-sae}, %zmm2, %zmm1, %zmm12
        vfmadd213pd {rn-sae}, %zmm9, %zmm0, %zmm3

/* (Sh*Th)_low + Sh*Tl */
        vfmadd213pd {rn-sae}, %zmm12, %zmm11, %zmm6

/* (Sh*Th)_low + Sh*Tl + Sl*Th */
        vfmadd213pd {rn-sae}, %zmm6, %zmm1, %zmm5
        vmovups   1152+__svml_dcbrt_ha_data_internal_avx512(%rip), %zmm1
        vmovups   1280+__svml_dcbrt_ha_data_internal_avx512(%rip), %zmm6
        vfmadd231pd {rn-sae}, %zmm4, %zmm1, %zmm10
        vmovups   1344+__svml_dcbrt_ha_data_internal_avx512(%rip), %zmm1
        vfmadd213pd {rn-sae}, %zmm10, %zmm0, %zmm3
        vfmadd231pd {rn-sae}, %zmm4, %zmm6, %zmm1

/* (Sh*Th)_h*R */
        vmulpd    {rn-sae}, %zmm4, %zmm2, %zmm4
        vfmadd213pd {rn-sae}, %zmm1, %zmm0, %zmm3

/* Low + ((Sh*Th)_h*R)*Poly */
        vfmadd213pd {rn-sae}, %zmm5, %zmm3, %zmm4

/*
 * branch-free
 * ShTh + Low + ((Sh*Th)_h*R)*Poly
 */
        vaddpd    {rn-sae}, %zmm2, %zmm4, %zmm5
        vscalefpd {rn-sae}, %zmm7, %zmm5, %zmm7
        vorpd     %zmm8, %zmm7, %zmm0

/* no invcbrt in libm, so taking it out here */
        ret
	.align    16,0x90

	.cfi_endproc

	.type	__svml_cbrt8_ha,@function
	.size	__svml_cbrt8_ha,.-__svml_cbrt8_ha
..LN__svml_cbrt8_ha.0:

.L_2__routine_start___svml_dcbrt_ha_cout_rare_internal_1:

	.align    16,0x90

__svml_dcbrt_ha_cout_rare_internal:


	.cfi_startproc
..L5:

        movq      %rsi, %r8
        movzwl    6(%rdi), %r9d
        andl      $32752, %r9d
        shrl      $4, %r9d
        movb      7(%rdi), %sil
        movsd     (%rdi), %xmm1
        cmpl      $2047, %r9d
        je        .LBL_2_9


        ucomisd   432+__dcbrt_ha__vmldCbrtTab(%rip), %xmm1
        jp        .LBL_2_3
        je        .LBL_2_8

.LBL_2_3:

        movb      %sil, %al
        lea       440+__dcbrt_ha__vmldCbrtTab(%rip), %rdx
        andb      $-128, %al
        andb      $127, %sil
        shrb      $7, %al
        xorl      %edi, %edi
        movsd     %xmm1, -56(%rsp)
        movzbl    %al, %ecx
        movb      %sil, -49(%rsp)
        movsd     (%rdx,%rcx,8), %xmm5
        testl     %r9d, %r9d
        jne       .LBL_2_5


        movsd     -56(%rsp), %xmm0
        movl      $100, %edi
        mulsd     360+__dcbrt_ha__vmldCbrtTab(%rip), %xmm0
        movsd     %xmm0, -56(%rsp)
        jmp       .LBL_2_6

.LBL_2_5:

        movsd     -56(%rsp), %xmm0

.LBL_2_6:

        movzwl    -50(%rsp), %esi
        movl      $1431655766, %eax
        andl      $32752, %esi
        lea       __dcbrt_ha__vmldCbrtTab(%rip), %r11
        shrl      $4, %esi
        movsd     %xmm0, -40(%rsp)
        movsd     368+__dcbrt_ha__vmldCbrtTab(%rip), %xmm14
        imull     %esi
        movl      $1431655766, %eax
        lea       (%rdx,%rdx,2), %ecx
        negl      %ecx
        addl      %esi, %ecx
        subl      %ecx, %esi
        addl      %ecx, %ecx
        addl      $-1023, %esi
        imull     %esi
        sarl      $31, %esi
        subl      %esi, %edx
        addl      $1023, %edx
        subl      %edi, %edx
        movzwl    -34(%rsp), %edi
        andl      $2047, %edx
        andl      $-32753, %edi
        addl      $16368, %edi
        movw      %di, -34(%rsp)
        movsd     -40(%rsp), %xmm11
        movaps    %xmm11, %xmm6
        mulsd     376+__dcbrt_ha__vmldCbrtTab(%rip), %xmm6
        movsd     %xmm6, -32(%rsp)
        movsd     -32(%rsp), %xmm7
        movl      -36(%rsp), %r10d
        andl      $1048575, %r10d
        subsd     -40(%rsp), %xmm7
        movsd     %xmm7, -24(%rsp)
        movsd     -32(%rsp), %xmm9
        movsd     -24(%rsp), %xmm8
        shrl      $15, %r10d
        subsd     %xmm8, %xmm9
        movsd     %xmm9, -32(%rsp)
        movsd     -32(%rsp), %xmm10
        movsd     (%r11,%r10,8), %xmm4
        subsd     %xmm10, %xmm11
        movaps    %xmm4, %xmm12
        movaps    %xmm4, %xmm13
        mulsd     %xmm4, %xmm12
        movsd     %xmm11, -24(%rsp)
        movsd     -32(%rsp), %xmm2
        mulsd     %xmm12, %xmm2
        mulsd     %xmm2, %xmm13
        movsd     440+__dcbrt_ha__vmldCbrtTab(%rip), %xmm6
        movsd     -24(%rsp), %xmm3
        subsd     %xmm13, %xmm6
        mulsd     %xmm12, %xmm3
        mulsd     %xmm6, %xmm14
        mulsd     %xmm3, %xmm4
        movsd     %xmm14, -32(%rsp)
        movsd     -32(%rsp), %xmm15
        xorps     .L_2il0floatpacket.81(%rip), %xmm4
        subsd     %xmm6, %xmm15
        movsd     %xmm15, -24(%rsp)
        movsd     -32(%rsp), %xmm1
        movsd     -24(%rsp), %xmm0
        movsd     256+__dcbrt_ha__vmldCbrtTab(%rip), %xmm9
        subsd     %xmm0, %xmm1
        movsd     %xmm1, -32(%rsp)
        movsd     -32(%rsp), %xmm13
        movsd     352+__dcbrt_ha__vmldCbrtTab(%rip), %xmm0
        subsd     %xmm13, %xmm6
        movsd     %xmm6, -24(%rsp)
        movsd     -32(%rsp), %xmm1
        movsd     -24(%rsp), %xmm7
        movaps    %xmm1, %xmm8
        movsd     256+__dcbrt_ha__vmldCbrtTab(%rip), %xmm11
        addsd     %xmm7, %xmm4
        movsd     256+__dcbrt_ha__vmldCbrtTab(%rip), %xmm7
        addsd     %xmm4, %xmm8
        mulsd     %xmm8, %xmm0
        movslq    %ecx, %rcx
        addsd     344+__dcbrt_ha__vmldCbrtTab(%rip), %xmm0
        mulsd     %xmm8, %xmm0
        movq      440+__dcbrt_ha__vmldCbrtTab(%rip), %r9
        movq      %r9, -48(%rsp)
        shrq      $48, %r9
        addsd     336+__dcbrt_ha__vmldCbrtTab(%rip), %xmm0
        mulsd     %xmm8, %xmm0
        andl      $-32753, %r9d
        shll      $4, %edx
        addsd     328+__dcbrt_ha__vmldCbrtTab(%rip), %xmm0
        mulsd     %xmm8, %xmm0
        orl       %edx, %r9d
        movw      %r9w, -42(%rsp)
        addsd     320+__dcbrt_ha__vmldCbrtTab(%rip), %xmm0
        mulsd     %xmm8, %xmm0
        addsd     312+__dcbrt_ha__vmldCbrtTab(%rip), %xmm0
        mulsd     %xmm8, %xmm0
        addsd     304+__dcbrt_ha__vmldCbrtTab(%rip), %xmm0
        mulsd     %xmm8, %xmm0
        addsd     296+__dcbrt_ha__vmldCbrtTab(%rip), %xmm0
        mulsd     %xmm8, %xmm0
        addsd     288+__dcbrt_ha__vmldCbrtTab(%rip), %xmm0
        mulsd     %xmm8, %xmm0
        addsd     280+__dcbrt_ha__vmldCbrtTab(%rip), %xmm0
        mulsd     %xmm8, %xmm0
        addsd     272+__dcbrt_ha__vmldCbrtTab(%rip), %xmm0
        mulsd     %xmm8, %xmm0
        addsd     %xmm0, %xmm9
        movsd     %xmm9, -32(%rsp)
        movsd     -32(%rsp), %xmm10
        movsd     368+__dcbrt_ha__vmldCbrtTab(%rip), %xmm9
        subsd     %xmm10, %xmm11
        movsd     %xmm11, -24(%rsp)
        movsd     -32(%rsp), %xmm14
        movsd     -24(%rsp), %xmm12
        addsd     %xmm12, %xmm14
        movsd     %xmm14, -16(%rsp)
        movaps    %xmm2, %xmm14
        movsd     -24(%rsp), %xmm6
        addsd     %xmm0, %xmm6
        movsd     %xmm6, -24(%rsp)
        movsd     -16(%rsp), %xmm15
        subsd     %xmm15, %xmm7
        movsd     %xmm7, -16(%rsp)
        movsd     -24(%rsp), %xmm8
        movsd     -16(%rsp), %xmm0
        addsd     %xmm0, %xmm8
        movsd     %xmm8, -16(%rsp)
        movaps    %xmm1, %xmm8
        movsd     -32(%rsp), %xmm13
        mulsd     %xmm13, %xmm9
        movsd     -16(%rsp), %xmm0
        movsd     %xmm9, -32(%rsp)
        movsd     -32(%rsp), %xmm10
        subsd     %xmm13, %xmm10
        addsd     264+__dcbrt_ha__vmldCbrtTab(%rip), %xmm0
        movsd     %xmm10, -24(%rsp)
        movsd     -32(%rsp), %xmm11
        movsd     -24(%rsp), %xmm6
        subsd     %xmm6, %xmm11
        movsd     %xmm11, -32(%rsp)
        movsd     -32(%rsp), %xmm12
        subsd     %xmm12, %xmm13
        movsd     %xmm13, -24(%rsp)
        movsd     -32(%rsp), %xmm7
        movsd     -24(%rsp), %xmm6
        mulsd     %xmm7, %xmm8
        addsd     %xmm0, %xmm6
        mulsd     %xmm4, %xmm7
        mulsd     %xmm6, %xmm4
        mulsd     %xmm6, %xmm1
        addsd     %xmm4, %xmm7
        movsd     368+__dcbrt_ha__vmldCbrtTab(%rip), %xmm4
        addsd     %xmm1, %xmm7
        mulsd     %xmm8, %xmm4
        movsd     %xmm7, -32(%rsp)
        movsd     -32(%rsp), %xmm10
        movsd     %xmm4, -32(%rsp)
        movsd     -32(%rsp), %xmm0
        subsd     %xmm8, %xmm0
        movsd     %xmm0, -24(%rsp)
        movsd     -32(%rsp), %xmm1
        movsd     -24(%rsp), %xmm4
        subsd     %xmm4, %xmm1
        movsd     %xmm1, -32(%rsp)
        movsd     -32(%rsp), %xmm6
        subsd     %xmm6, %xmm8
        movsd     %xmm8, -24(%rsp)
        movsd     -32(%rsp), %xmm9
        movsd     -24(%rsp), %xmm7
        movaps    %xmm9, %xmm1
        mulsd     %xmm3, %xmm9
        addsd     %xmm7, %xmm10
        mulsd     %xmm2, %xmm1
        movaps    %xmm10, %xmm11
        movaps    %xmm1, %xmm12
        mulsd     %xmm3, %xmm10
        addsd     %xmm2, %xmm12
        mulsd     %xmm2, %xmm11
        addsd     %xmm9, %xmm10
        addsd     %xmm10, %xmm11
        movsd     %xmm11, -32(%rsp)
        movsd     -32(%rsp), %xmm0
        movsd     %xmm12, -32(%rsp)
        movsd     -32(%rsp), %xmm13
        subsd     %xmm13, %xmm14
        movsd     %xmm14, -24(%rsp)
        movsd     -32(%rsp), %xmm9
        movsd     -24(%rsp), %xmm15
        addsd     %xmm15, %xmm9
        movsd     %xmm9, -16(%rsp)
        movsd     -24(%rsp), %xmm10
        addsd     %xmm10, %xmm1
        movsd     %xmm1, -24(%rsp)
        movsd     -16(%rsp), %xmm4
        subsd     %xmm4, %xmm2
        movsd     368+__dcbrt_ha__vmldCbrtTab(%rip), %xmm4
        movsd     %xmm2, -16(%rsp)
        movsd     -24(%rsp), %xmm1
        movsd     -16(%rsp), %xmm2
        addsd     %xmm2, %xmm1
        movsd     %xmm1, -16(%rsp)
        movsd     -32(%rsp), %xmm9
        mulsd     %xmm9, %xmm4
        movsd     -16(%rsp), %xmm11
        movsd     %xmm4, -32(%rsp)
        movsd     -32(%rsp), %xmm6
        subsd     %xmm9, %xmm6
        movsd     %xmm6, -24(%rsp)
        movsd     -32(%rsp), %xmm7
        movsd     -24(%rsp), %xmm2
        subsd     %xmm2, %xmm7
        movsd     %xmm7, -32(%rsp)
        movsd     -32(%rsp), %xmm8
        subsd     %xmm8, %xmm9
        movsd     %xmm9, -24(%rsp)
        movsd     -32(%rsp), %xmm12
        movsd     -24(%rsp), %xmm10
        addsd     %xmm0, %xmm10
        addsd     %xmm3, %xmm10
        movsd     392(%r11,%rcx,8), %xmm3
        movaps    %xmm3, %xmm0
        addsd     %xmm10, %xmm11
        mulsd     %xmm12, %xmm3
        mulsd     %xmm11, %xmm0
        movsd     384(%r11,%rcx,8), %xmm10
        addsd     %xmm3, %xmm0
        mulsd     %xmm10, %xmm11
        mulsd     %xmm10, %xmm12
        addsd     %xmm11, %xmm0
        movsd     %xmm0, -32(%rsp)
        movsd     -32(%rsp), %xmm3
        addsd     %xmm3, %xmm12
        mulsd     -48(%rsp), %xmm12
        mulsd     %xmm12, %xmm5
        movsd     %xmm5, (%r8)

.LBL_2_7:

        xorl      %eax, %eax
        ret

.LBL_2_8:

        movsd     440+__dcbrt_ha__vmldCbrtTab(%rip), %xmm0
        mulsd     %xmm0, %xmm1
        movsd     %xmm1, (%r8)
        jmp       .LBL_2_7

.LBL_2_9:

        addsd     %xmm1, %xmm1
        movsd     %xmm1, (%r8)
        jmp       .LBL_2_7
	.align    16,0x90

	.cfi_endproc

	.type	__svml_dcbrt_ha_cout_rare_internal,@function
	.size	__svml_dcbrt_ha_cout_rare_internal,.-__svml_dcbrt_ha_cout_rare_internal
..LN__svml_dcbrt_ha_cout_rare_internal.1:

	.section .rodata, "a"
	.align 64
	.align 64
__svml_dcbrt_ha_data_internal_avx512:
	.long	0
	.long	1072693248
	.long	4186796683
	.long	1072965794
	.long	2772266557
	.long	1073309182
	.long	0
	.long	0
	.long	0
	.long	3220176896
	.long	4186796683
	.long	3220449442
	.long	2772266557
	.long	3220792830
	.long	0
	.long	0
	.long	0
	.long	0
	.long	1418634270
	.long	3162364962
	.long	2576690953
	.long	3164558313
	.long	0
	.long	0
	.long	0
	.long	0
	.long	1418634270
	.long	1014881314
	.long	2576690953
	.long	1017074665
	.long	0
	.long	0
	.long	4186796683
	.long	1072965794
	.long	1554061055
	.long	1072914931
	.long	3992368458
	.long	1072871093
	.long	3714535808
	.long	1072832742
	.long	954824104
	.long	1072798779
	.long	3256858690
	.long	1072768393
	.long	3858344660
	.long	1072740974
	.long	1027250248
	.long	1072716050
	.long	0
	.long	1072693248
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	1418634270
	.long	3162364962
	.long	629721892
	.long	1016287007
	.long	1776620500
	.long	3163956186
	.long	648592220
	.long	1016269578
	.long	1295766103
	.long	3161896715
	.long	1348094586
	.long	3164476360
	.long	2407028709
	.long	1015925873
	.long	497428409
	.long	1014435402
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	1127743488
	.long	0
	.long	1127743488
	.long	0
	.long	1127743488
	.long	0
	.long	1127743488
	.long	0
	.long	1127743488
	.long	0
	.long	1127743488
	.long	0
	.long	1127743488
	.long	0
	.long	1127743488
	.long	0
	.long	2147483648
	.long	0
	.long	2147483648
	.long	0
	.long	2147483648
	.long	0
	.long	2147483648
	.long	0
	.long	2147483648
	.long	0
	.long	2147483648
	.long	0
	.long	2147483648
	.long	0
	.long	2147483648
	.long	1431655766
	.long	1070945621
	.long	1431655766
	.long	1070945621
	.long	1431655766
	.long	1070945621
	.long	1431655766
	.long	1070945621
	.long	1431655766
	.long	1070945621
	.long	1431655766
	.long	1070945621
	.long	1431655766
	.long	1070945621
	.long	1431655766
	.long	1070945621
	.long	0
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