/* Function cbrt vectorized with AVX2. 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: * * 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 * */ /* Offsets for data table __svml_dcbrt_data_internal */ #define _dRcp 0 #define _dCbrtHiLo 256 #define _dA7 1024 #define _dA6 1056 #define _dA5 1088 #define _dA4 1120 #define _dA3 1152 #define _dA2 1184 #define _dA1 1216 #define _dNeg65Div64 1248 #define _dSgnf6Mask 1280 #define _dNegOne 1312 #define _dMantissaMask 1344 #define _lExpHiMask 1376 #define _lExpLoMask 1408 #define _l1556 1440 #define _iRcpIndexMask 1472 #define _iAbsMask 1504 #define _iSignMask 1536 #define _iBias 1568 #define _iSub 1600 #define _iCmp 1632 #include .section .text.avx2, "ax", @progbits ENTRY(_ZGVdN4v_cbrt_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 /* Load 1/(1+iRcpIndex/32+1/64) reciprocal table value */ lea __svml_dcbrt_data_internal(%rip), %rax vmovapd %ymm0, %ymm5 /* * Declarations * Load constants * Get iX - high part of argument */ vextractf128 $1, %ymm5, %xmm6 /* Calculate CbrtIndex */ vpsrlq $52, %ymm5, %ymm15 vshufps $221, %xmm6, %xmm5, %xmm4 /* Calculate Rcp table index */ vandps _iRcpIndexMask+__svml_dcbrt_data_internal(%rip), %xmm4, %xmm10 vpsrld $12, %xmm10, %xmm3 vmovd %xmm3, %ecx /* If the exponent field is zero - go to callout to process denormals */ vandps _iAbsMask+__svml_dcbrt_data_internal(%rip), %xmm4, %xmm7 /* Compute 2^k */ vpsrld $20, %xmm4, %xmm4 vpsubd _iSub+__svml_dcbrt_data_internal(%rip), %xmm7, %xmm8 vandps _lExpLoMask+__svml_dcbrt_data_internal(%rip), %ymm15, %ymm0 vpmuludq _l1556+__svml_dcbrt_data_internal(%rip), %ymm0, %ymm6 vpextrd $2, %xmm3, %edi movslq %ecx, %rcx vpextrd $1, %xmm3, %esi movslq %edi, %rdi vpextrd $3, %xmm3, %r8d movslq %esi, %rsi movslq %r8d, %r8 vpcmpgtd _iCmp+__svml_dcbrt_data_internal(%rip), %xmm8, %xmm9 vmovsd (%rax, %rcx), %xmm11 vmovmskps %xmm9, %edx vmovsd (%rax, %rdi), %xmm13 vmovhpd (%rax, %rsi), %xmm11, %xmm12 vmovhpd (%rax, %r8), %xmm13, %xmm14 vextractf128 $1, %ymm6, %xmm7 vshufps $136, %xmm7, %xmm6, %xmm8 vmovups __VUNPACK_ODD_ind1.613.0.1(%rip), %ymm7 vextractf128 $1, %ymm0, %xmm1 vshufps $136, %xmm1, %xmm0, %xmm9 vpsrld $14, %xmm8, %xmm1 vpsubd %xmm1, %xmm9, %xmm10 vpaddd %xmm1, %xmm1, %xmm11 /* * VAND( L, l2k, = l2k, lExpHiMask ); * Argument reduction Z */ vandpd _dMantissaMask+__svml_dcbrt_data_internal(%rip), %ymm5, %ymm9 vinsertf128 $1, %xmm14, %ymm12, %ymm2 vpsubd %xmm11, %xmm10, %xmm12 vpslld $8, %xmm12, %xmm13 vpaddd %xmm13, %xmm3, %xmm15 /* Load cbrt(2^j*(1+iRcpIndex/32+1/64)) Hi & Lo values */ vmovd %xmm15, %r9d vpextrd $2, %xmm15, %r11d movslq %r9d, %r9 vpextrd $1, %xmm15, %r10d movslq %r11d, %r11 vpextrd $3, %xmm15, %ecx movslq %r10d, %r10 movslq %ecx, %rcx vmovsd 256(%rax, %r9), %xmm3 vmovsd 256(%rax, %r11), %xmm0 vandpd _dSgnf6Mask+__svml_dcbrt_data_internal(%rip), %ymm5, %ymm10 vmovhpd 256(%rax, %r10), %xmm3, %xmm14 vmovhpd 256(%rax, %rcx), %xmm0, %xmm3 vorpd _dNegOne+__svml_dcbrt_data_internal(%rip), %ymm9, %ymm11 vorpd _dNeg65Div64+__svml_dcbrt_data_internal(%rip), %ymm10, %ymm12 vsubpd %ymm12, %ymm11, %ymm13 vmulpd %ymm13, %ymm2, %ymm2 vinsertf128 $1, %xmm3, %ymm14, %ymm0 vpand _iSignMask+__svml_dcbrt_data_internal(%rip), %xmm4, %xmm3 vpor _iBias+__svml_dcbrt_data_internal(%rip), %xmm3, %xmm4 vpaddd %xmm1, %xmm4, %xmm1 vpslld $20, %xmm1, %xmm6 /* Polynomial */ vmovupd _dA7+__svml_dcbrt_data_internal(%rip), %ymm1 vfmadd213pd _dA6+__svml_dcbrt_data_internal(%rip), %ymm2, %ymm1 vfmadd213pd _dA5+__svml_dcbrt_data_internal(%rip), %ymm2, %ymm1 vfmadd213pd _dA4+__svml_dcbrt_data_internal(%rip), %ymm2, %ymm1 vfmadd213pd _dA3+__svml_dcbrt_data_internal(%rip), %ymm2, %ymm1 vfmadd213pd _dA2+__svml_dcbrt_data_internal(%rip), %ymm2, %ymm1 vfmadd213pd _dA1+__svml_dcbrt_data_internal(%rip), %ymm2, %ymm1 vpermps %ymm6, %ymm7, %ymm8 vandps __VUNPACK_ODD_mask.613.0.1(%rip), %ymm8, %ymm14 /* THi*2^k, TLo*2^k */ vmulpd %ymm14, %ymm0, %ymm0 /* THi*2^k*Z */ vmulpd %ymm0, %ymm2, %ymm2 /* Final reconstruction */ vmulpd %ymm2, %ymm1, %ymm3 vaddpd %ymm3, %ymm0, %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): vmovupd %ymm5, 32(%rsp) vmovupd %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 $4, %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) vmovupd 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 vmovsd 32(%rsp, %r14, 8), %xmm0 call cbrt@PLT # LOE rbx r14 r15 r12d r13d xmm0 vmovsd %xmm0, 64(%rsp, %r14, 8) /* Process special inputs in loop */ jmp L(SPECIAL_VALUES_LOOP) # LOE rbx r15 r12d r13d END(_ZGVdN4v_cbrt_avx2) .section .rodata, "a" .align 32 __VUNPACK_ODD_ind1.613.0.1: .rept 3 .long 0 .endr .long 1 .long 0 .long 2 .long 0 .long 3 .align 32 __VUNPACK_ODD_mask.613.0.1: .long 0 .long -1 .long 0 .long -1 .long 0 .long -1 .long 0 .long -1 .section .rodata, "a" .align 32 #ifdef __svml_dcbrt_data_internal_typedef typedef unsigned int VUINT32; typedef struct { __declspec(align(32)) VUINT32 _dRcp[32][2]; __declspec(align(32)) VUINT32 _dCbrtHiLo[96][2]; __declspec(align(32)) VUINT32 _dA7[4][2]; __declspec(align(32)) VUINT32 _dA6[4][2]; __declspec(align(32)) VUINT32 _dA5[4][2]; __declspec(align(32)) VUINT32 _dA4[4][2]; __declspec(align(32)) VUINT32 _dA3[4][2]; __declspec(align(32)) VUINT32 _dA2[4][2]; __declspec(align(32)) VUINT32 _dA1[4][2]; __declspec(align(32)) VUINT32 _dNeg65Div64[4][2]; __declspec(align(32)) VUINT32 _dSgnf6Mask[4][2]; __declspec(align(32)) VUINT32 _dNegOne[4][2]; __declspec(align(32)) VUINT32 _dMantissaMask[4][2]; __declspec(align(32)) VUINT32 _lExpHiMask[4][2]; __declspec(align(32)) VUINT32 _lExpLoMask[4][2]; __declspec(align(32)) VUINT32 _l1556[4][2]; __declspec(align(32)) VUINT32 _iRcpIndexMask[8][1]; __declspec(align(32)) VUINT32 _iAbsMask[8][1]; __declspec(align(32)) VUINT32 _iSignMask[8][1]; __declspec(align(32)) VUINT32 _iBias[8][1]; __declspec(align(32)) VUINT32 _iSub[8][1]; __declspec(align(32)) VUINT32 _iCmp[8][1]; } __svml_dcbrt_data_internal; #endif __svml_dcbrt_data_internal: /* _dRcp */ .quad 0xBFEF81F81F81F820 /* (1/(1+0/32+1/64)) = -.984615 */ .quad 0xBFEE9131ABF0B767 /* (1/(1+1/32+1/64)) = -.955224 */ .quad 0xBFEDAE6076B981DB /* (1/(1+2/32+1/64)) = -.927536 */ .quad 0xBFECD85689039B0B /* (1/(1+3/32+1/64)) = -.901408 */ .quad 0xBFEC0E070381C0E0 /* (1/(1+4/32+1/64)) = -.876712 */ .quad 0xBFEB4E81B4E81B4F /* (1/(1+5/32+1/64)) = -.853333 */ .quad 0xBFEA98EF606A63BE /* (1/(1+6/32+1/64)) = -.831169 */ .quad 0xBFE9EC8E951033D9 /* (1/(1+7/32+1/64)) = -.810127 */ .quad 0xBFE948B0FCD6E9E0 /* (1/(1+8/32+1/64)) = -.790123 */ .quad 0xBFE8ACB90F6BF3AA /* (1/(1+9/32+1/64)) = -.771084 */ .quad 0xBFE8181818181818 /* (1/(1+10/32+1/64)) = -.752941 */ .quad 0xBFE78A4C8178A4C8 /* (1/(1+11/32+1/64)) = -.735632 */ .quad 0xBFE702E05C0B8170 /* (1/(1+12/32+1/64)) = -.719101 */ .quad 0xBFE6816816816817 /* (1/(1+13/32+1/64)) = -.703297 */ .quad 0xBFE6058160581606 /* (1/(1+14/32+1/64)) = -.688172 */ .quad 0xBFE58ED2308158ED /* (1/(1+15/32+1/64)) = -.673684 */ .quad 0xBFE51D07EAE2F815 /* (1/(1+16/32+1/64)) = -.659794 */ .quad 0xBFE4AFD6A052BF5B /* (1/(1+17/32+1/64)) = -.646465 */ .quad 0xBFE446F86562D9FB /* (1/(1+18/32+1/64)) = -.633663 */ .quad 0xBFE3E22CBCE4A902 /* (1/(1+19/32+1/64)) = -.621359 */ .quad 0xBFE3813813813814 /* (1/(1+20/32+1/64)) = -.609524 */ .quad 0xBFE323E34A2B10BF /* (1/(1+21/32+1/64)) = -.598131 */ .quad 0xBFE2C9FB4D812CA0 /* (1/(1+22/32+1/64)) = -.587156 */ .quad 0xBFE27350B8812735 /* (1/(1+23/32+1/64)) = -.576577 */ .quad 0xBFE21FB78121FB78 /* (1/(1+24/32+1/64)) = -.566372 */ .quad 0xBFE1CF06ADA2811D /* (1/(1+25/32+1/64)) = -.556522 */ .quad 0xBFE1811811811812 /* (1/(1+26/32+1/64)) = -.547009 */ .quad 0xBFE135C81135C811 /* (1/(1+27/32+1/64)) = -.537815 */ .quad 0xBFE0ECF56BE69C90 /* (1/(1+28/32+1/64)) = -.528926 */ .quad 0xBFE0A6810A6810A7 /* (1/(1+29/32+1/64)) = -.520325 */ .quad 0xBFE0624DD2F1A9FC /* (1/(1+30/32+1/64)) = -.512 */ .quad 0xBFE0204081020408 /* (1/(1+31/32+1/64)) = -.503937 */ /* _dCbrtHiLo */ .align 32 .quad 0x3FF01539221D4C97 /* HI((2^0*(1+0/32+1/64))^(1/3)) = 1.005181 */ .quad 0x3FF03F06771A2E33 /* HI((2^0*(1+1/32+1/64))^(1/3)) = 1.015387 */ .quad 0x3FF06800E629D671 /* HI((2^0*(1+2/32+1/64))^(1/3)) = 1.025391 */ .quad 0x3FF090328731DEB2 /* HI((2^0*(1+3/32+1/64))^(1/3)) = 1.035204 */ .quad 0x3FF0B7A4B1BD64AC /* HI((2^0*(1+4/32+1/64))^(1/3)) = 1.044835 */ .quad 0x3FF0DE601024FB87 /* HI((2^0*(1+5/32+1/64))^(1/3)) = 1.054291 */ .quad 0x3FF1046CB0597000 /* HI((2^0*(1+6/32+1/64))^(1/3)) = 1.06358 */ .quad 0x3FF129D212A9BA9B /* HI((2^0*(1+7/32+1/64))^(1/3)) = 1.07271 */ .quad 0x3FF14E9736CDAF38 /* HI((2^0*(1+8/32+1/64))^(1/3)) = 1.081687 */ .quad 0x3FF172C2A772F507 /* HI((2^0*(1+9/32+1/64))^(1/3)) = 1.090518 */ .quad 0x3FF1965A848001D3 /* HI((2^0*(1+10/32+1/64))^(1/3)) = 1.099207 */ .quad 0x3FF1B9648C38C55D /* HI((2^0*(1+11/32+1/64))^(1/3)) = 1.107762 */ .quad 0x3FF1DBE6236A0C45 /* HI((2^0*(1+12/32+1/64))^(1/3)) = 1.116186 */ .quad 0x3FF1FDE45CBB1F9F /* HI((2^0*(1+13/32+1/64))^(1/3)) = 1.124485 */ .quad 0x3FF21F63FF409042 /* HI((2^0*(1+14/32+1/64))^(1/3)) = 1.132664 */ .quad 0x3FF240698C6746E5 /* HI((2^0*(1+15/32+1/64))^(1/3)) = 1.140726 */ .quad 0x3FF260F9454BB99B /* HI((2^0*(1+16/32+1/64))^(1/3)) = 1.148675 */ .quad 0x3FF281172F8E7073 /* HI((2^0*(1+17/32+1/64))^(1/3)) = 1.156516 */ .quad 0x3FF2A0C719B4B6D0 /* HI((2^0*(1+18/32+1/64))^(1/3)) = 1.164252 */ .quad 0x3FF2C00C9F2263EC /* HI((2^0*(1+19/32+1/64))^(1/3)) = 1.171887 */ .quad 0x3FF2DEEB2BB7FB78 /* HI((2^0*(1+20/32+1/64))^(1/3)) = 1.179423 */ .quad 0x3FF2FD65FF1EFBBC /* HI((2^0*(1+21/32+1/64))^(1/3)) = 1.186865 */ .quad 0x3FF31B802FCCF6A2 /* HI((2^0*(1+22/32+1/64))^(1/3)) = 1.194214 */ .quad 0x3FF3393CADC50708 /* HI((2^0*(1+23/32+1/64))^(1/3)) = 1.201474 */ .quad 0x3FF3569E451E4C2A /* HI((2^0*(1+24/32+1/64))^(1/3)) = 1.208647 */ .quad 0x3FF373A7A0554CDE /* HI((2^0*(1+25/32+1/64))^(1/3)) = 1.215736 */ .quad 0x3FF3905B4A6D76CE /* HI((2^0*(1+26/32+1/64))^(1/3)) = 1.222743 */ .quad 0x3FF3ACBBB0E756B6 /* HI((2^0*(1+27/32+1/64))^(1/3)) = 1.229671 */ .quad 0x3FF3C8CB258FA340 /* HI((2^0*(1+28/32+1/64))^(1/3)) = 1.236522 */ .quad 0x3FF3E48BE02AC0CE /* HI((2^0*(1+29/32+1/64))^(1/3)) = 1.243297 */ .quad 0x3FF4000000000000 /* HI((2^0*(1+30/32+1/64))^(1/3)) = 1.25 */ .quad 0x3FF41B298D47800E /* HI((2^0*(1+31/32+1/64))^(1/3)) = 1.256631 */ .quad 0x3FF443604B34D9B2 /* HI((2^1*(1+0/32+1/64))^(1/3)) = 1.266449 */ .quad 0x3FF4780B20906571 /* HI((2^1*(1+1/32+1/64))^(1/3)) = 1.279307 */ .quad 0x3FF4ABAC3EE06706 /* HI((2^1*(1+2/32+1/64))^(1/3)) = 1.291912 */ .quad 0x3FF4DE505DA66B8D /* HI((2^1*(1+3/32+1/64))^(1/3)) = 1.304276 */ .quad 0x3FF51003420A5C07 /* HI((2^1*(1+4/32+1/64))^(1/3)) = 1.316409 */ .quad 0x3FF540CFD6FD11C1 /* HI((2^1*(1+5/32+1/64))^(1/3)) = 1.328323 */ .quad 0x3FF570C04260716B /* HI((2^1*(1+6/32+1/64))^(1/3)) = 1.340027 */ .quad 0x3FF59FDDF7A45F38 /* HI((2^1*(1+7/32+1/64))^(1/3)) = 1.35153 */ .quad 0x3FF5CE31C83539DF /* HI((2^1*(1+8/32+1/64))^(1/3)) = 1.36284 */ .quad 0x3FF5FBC3F20966A4 /* HI((2^1*(1+9/32+1/64))^(1/3)) = 1.373966 */ .quad 0x3FF6289C2C8F1B70 /* HI((2^1*(1+10/32+1/64))^(1/3)) = 1.384915 */ .quad 0x3FF654C1B4316DCF /* HI((2^1*(1+11/32+1/64))^(1/3)) = 1.395693 */ .quad 0x3FF6803B54A34E44 /* HI((2^1*(1+12/32+1/64))^(1/3)) = 1.406307 */ .quad 0x3FF6AB0F72182659 /* HI((2^1*(1+13/32+1/64))^(1/3)) = 1.416763 */ .quad 0x3FF6D544118C08BC /* HI((2^1*(1+14/32+1/64))^(1/3)) = 1.427067 */ .quad 0x3FF6FEDEE0388D4A /* HI((2^1*(1+15/32+1/64))^(1/3)) = 1.437224 */ .quad 0x3FF727E53A4F645E /* HI((2^1*(1+16/32+1/64))^(1/3)) = 1.44724 */ .quad 0x3FF7505C31104114 /* HI((2^1*(1+17/32+1/64))^(1/3)) = 1.457119 */ .quad 0x3FF77848904CD549 /* HI((2^1*(1+18/32+1/64))^(1/3)) = 1.466866 */ .quad 0x3FF79FAEE36B2534 /* HI((2^1*(1+19/32+1/64))^(1/3)) = 1.476485 */ .quad 0x3FF7C69379F4605B /* HI((2^1*(1+20/32+1/64))^(1/3)) = 1.48598 */ .quad 0x3FF7ECFA6BBCA391 /* HI((2^1*(1+21/32+1/64))^(1/3)) = 1.495356 */ .quad 0x3FF812E79CAE7EB9 /* HI((2^1*(1+22/32+1/64))^(1/3)) = 1.504615 */ .quad 0x3FF8385EC043C71D /* HI((2^1*(1+23/32+1/64))^(1/3)) = 1.513762 */ .quad 0x3FF85D635CB41B9D /* HI((2^1*(1+24/32+1/64))^(1/3)) = 1.5228 */ .quad 0x3FF881F8CDE083DB /* HI((2^1*(1+25/32+1/64))^(1/3)) = 1.531731 */ .quad 0x3FF8A6224802B8A8 /* HI((2^1*(1+26/32+1/64))^(1/3)) = 1.54056 */ .quad 0x3FF8C9E2DA25E5E4 /* HI((2^1*(1+27/32+1/64))^(1/3)) = 1.549289 */ .quad 0x3FF8ED3D706E1010 /* HI((2^1*(1+28/32+1/64))^(1/3)) = 1.55792 */ .quad 0x3FF91034D632B6DF /* HI((2^1*(1+29/32+1/64))^(1/3)) = 1.566457 */ .quad 0x3FF932CBB7F0CF2D /* HI((2^1*(1+30/32+1/64))^(1/3)) = 1.574901 */ .quad 0x3FF95504A517BF3A /* HI((2^1*(1+31/32+1/64))^(1/3)) = 1.583256 */ .quad 0x3FF987AF34F8BB19 /* HI((2^2*(1+0/32+1/64))^(1/3)) = 1.595626 */ .quad 0x3FF9CA0A8337B317 /* HI((2^2*(1+1/32+1/64))^(1/3)) = 1.611826 */ .quad 0x3FFA0B1709CC13D5 /* HI((2^2*(1+2/32+1/64))^(1/3)) = 1.627708 */ .quad 0x3FFA4AE4CE6419ED /* HI((2^2*(1+3/32+1/64))^(1/3)) = 1.643285 */ .quad 0x3FFA8982A5567031 /* HI((2^2*(1+4/32+1/64))^(1/3)) = 1.658572 */ .quad 0x3FFAC6FE500AB570 /* HI((2^2*(1+5/32+1/64))^(1/3)) = 1.673582 */ .quad 0x3FFB036497A15A17 /* HI((2^2*(1+6/32+1/64))^(1/3)) = 1.688328 */ .quad 0x3FFB3EC164671755 /* HI((2^2*(1+7/32+1/64))^(1/3)) = 1.702821 */ .quad 0x3FFB791FD288C46F /* HI((2^2*(1+8/32+1/64))^(1/3)) = 1.717071 */ .quad 0x3FFBB28A44693BE4 /* HI((2^2*(1+9/32+1/64))^(1/3)) = 1.731089 */ .quad 0x3FFBEB0A72EB6E31 /* HI((2^2*(1+10/32+1/64))^(1/3)) = 1.744883 */ .quad 0x3FFC22A97BF5F697 /* HI((2^2*(1+11/32+1/64))^(1/3)) = 1.758462 */ .quad 0x3FFC596FEF6AF983 /* HI((2^2*(1+12/32+1/64))^(1/3)) = 1.771835 */ .quad 0x3FFC8F65DAC655A3 /* HI((2^2*(1+13/32+1/64))^(1/3)) = 1.785009 */ .quad 0x3FFCC492D38CE8D9 /* HI((2^2*(1+14/32+1/64))^(1/3)) = 1.797992 */ .quad 0x3FFCF8FE00B19367 /* HI((2^2*(1+15/32+1/64))^(1/3)) = 1.810789 */ .quad 0x3FFD2CAE230F8709 /* HI((2^2*(1+16/32+1/64))^(1/3)) = 1.823408 */ .quad 0x3FFD5FA99D15208F /* HI((2^2*(1+17/32+1/64))^(1/3)) = 1.835855 */ .quad 0x3FFD91F679B6E505 /* HI((2^2*(1+18/32+1/64))^(1/3)) = 1.848135 */ .quad 0x3FFDC39A72BF2302 /* HI((2^2*(1+19/32+1/64))^(1/3)) = 1.860255 */ .quad 0x3FFDF49AF68C1570 /* HI((2^2*(1+20/32+1/64))^(1/3)) = 1.872218 */ .quad 0x3FFE24FD2D4C23B8 /* HI((2^2*(1+21/32+1/64))^(1/3)) = 1.884031 */ .quad 0x3FFE54C5FDC5EC73 /* HI((2^2*(1+22/32+1/64))^(1/3)) = 1.895697 */ .quad 0x3FFE83FA11B81DBB /* HI((2^2*(1+23/32+1/64))^(1/3)) = 1.907221 */ .quad 0x3FFEB29DD9DBAF25 /* HI((2^2*(1+24/32+1/64))^(1/3)) = 1.918608 */ .quad 0x3FFEE0B59191D374 /* HI((2^2*(1+25/32+1/64))^(1/3)) = 1.929861 */ .quad 0x3FFF0E454245E4BF /* HI((2^2*(1+26/32+1/64))^(1/3)) = 1.940984 */ .quad 0x3FFF3B50C68A9DD3 /* HI((2^2*(1+27/32+1/64))^(1/3)) = 1.951981 */ .quad 0x3FFF67DBCCF922DC /* HI((2^2*(1+28/32+1/64))^(1/3)) = 1.962856 */ .quad 0x3FFF93E9DAD7A4A6 /* HI((2^2*(1+29/32+1/64))^(1/3)) = 1.973612 */ .quad 0x3FFFBF7E4E8CC9CB /* HI((2^2*(1+30/32+1/64))^(1/3)) = 1.984251 */ .quad 0x3FFFEA9C61E47CD3 /* HI((2^2*(1+31/32+1/64))^(1/3)) = 1.994778 */ .align 32 .quad 0x3F93750AD588F115, 0x3F93750AD588F115, 0x3F93750AD588F115, 0x3F93750AD588F115 /* _dA7 */ .align 32 .quad 0xBF98090D6221A247, 0xBF98090D6221A247, 0xBF98090D6221A247, 0xBF98090D6221A247 /* _dA6 */ .align 32 .quad 0x3F9EE7113506AC12, 0x3F9EE7113506AC12, 0x3F9EE7113506AC12, 0x3F9EE7113506AC12 /* _dA5 */ .align 32 .quad 0xBFA511E8D2B3183B, 0xBFA511E8D2B3183B, 0xBFA511E8D2B3183B, 0xBFA511E8D2B3183B /* _dA4 */ .align 32 .quad 0x3FAF9ADD3C0CA458, 0x3FAF9ADD3C0CA458, 0x3FAF9ADD3C0CA458, 0x3FAF9ADD3C0CA458 /* _dA3 */ .align 32 .quad 0xBFBC71C71C71C71C, 0xBFBC71C71C71C71C, 0xBFBC71C71C71C71C, 0xBFBC71C71C71C71C /* _dA2 */ .align 32 .quad 0x3FD5555555555555, 0x3FD5555555555555, 0x3FD5555555555555, 0x3FD5555555555555 /* _dA1 */ .align 32 .quad 0xBFF0400000000000, 0xBFF0400000000000, 0xBFF0400000000000, 0xBFF0400000000000 /* _dNeg65Div64 */ .align 32 .quad 0x000FC00000000000, 0x000FC00000000000, 0x000FC00000000000, 0x000FC00000000000 /* _dSgnf6Mask */ .align 32 .quad 0xBFF0000000000000, 0xBFF0000000000000, 0xBFF0000000000000, 0xBFF0000000000000 /* _dNegOne */ .align 32 .quad 0x000FFFFFFFFFFFFF, 0x000FFFFFFFFFFFFF, 0x000FFFFFFFFFFFFF, 0x000FFFFFFFFFFFFF /* _dMantissaMask */ .align 32 .quad 0xFFF0000000000000, 0xFFF0000000000000, 0xFFF0000000000000, 0xFFF0000000000000 /* _lExpHiMask */ .align 32 .quad 0x00000000000007FF, 0x00000000000007FF, 0x00000000000007FF, 0x00000000000007FF /* _lExpLoMask */ .align 32 .quad 0x0000000000001556, 0x0000000000001556, 0x0000000000001556, 0x0000000000001556 /* _l1556 */ .align 32 .long 0x000F8000, 0x000F8000, 0x000F8000, 0x000F8000, 0x000F8000, 0x000F8000, 0x000F8000, 0x000F8000 /* _iRcpIndexMask */ .align 32 .long 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF /* _iAbsMask */ .align 32 .long 0x00000800, 0x00000800, 0x00000800, 0x00000800, 0x00000800, 0x00000800, 0x00000800, 0x00000800 /* _iSignMask */ .align 32 .long 0x000002AA, 0x000002AA, 0x000002AA, 0x000002AA, 0x000002AA, 0x000002AA, 0x000002AA, 0x000002AA /* _iBias */ .align 32 .long 0x80100000, 0x80100000, 0x80100000, 0x80100000, 0x80100000, 0x80100000, 0x80100000, 0x80100000 /* _iSub */ .align 32 .long 0xffdfffff, 0xffdfffff, 0xffdfffff, 0xffdfffff, 0xffdfffff, 0xffdfffff, 0xffdfffff, 0xffdfffff /* _iCmp */ .align 32 .type __svml_dcbrt_data_internal, @object .size __svml_dcbrt_data_internal, .-__svml_dcbrt_data_internal