/* Function cbrtf 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 single precision * cbrtf(2^j * 1. b1 b2 .. b5 1) is approximated as T[j][b1..b5]+D[j][b1..b5] * (T stores the high 24 bits, D stores the low order bits) * Result=2^k*T+(2^k*T*r)*P+2^k*D * where P=p1+p2*r+.. * */ /* Offsets for data table __svml_scbrt_data_internal */ #define _sRcp 0 #define _sCbrtHL 128 #define _sP2 512 #define _sP1 544 #define _sMantissaMask 576 #define _sMantissaMask1 608 #define _sExpMask 640 #define _sExpMask1 672 #define _iRcpIndexMask 704 #define _iBExpMask 736 #define _iSignMask 768 #define _iBias 800 #define _iOne 832 #define _i555 864 #define _iAbsMask 896 #define _iSubConst 928 #define _iCmpConst 960 #include .section .text.avx2, "ax", @progbits ENTRY(_ZGVdN8v_cbrtf_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 reciprocal value */ lea __svml_scbrt_data_internal(%rip), %rdx vmovaps %ymm0, %ymm5 /* * Load constants * Reciprocal index calculation */ vpsrld $16, %ymm5, %ymm3 vpand _iRcpIndexMask+__svml_scbrt_data_internal(%rip), %ymm3, %ymm4 vextractf128 $1, %ymm4, %xmm15 vmovd %xmm4, %eax vmovd %xmm15, %r8d vpextrd $1, %xmm15, %r9d vpextrd $2, %xmm15, %r10d vpextrd $3, %xmm15, %r11d movslq %r8d, %r8 movslq %r9d, %r9 movslq %r10d, %r10 movslq %r11d, %r11 vpextrd $1, %xmm4, %ecx vpextrd $2, %xmm4, %esi vpextrd $3, %xmm4, %edi movslq %eax, %rax movslq %ecx, %rcx movslq %esi, %rsi movslq %edi, %rdi vmovd (%rdx, %r8), %xmm13 vmovd (%rdx, %r9), %xmm14 vmovd (%rdx, %r10), %xmm1 vmovd (%rdx, %r11), %xmm0 vpunpckldq %xmm14, %xmm13, %xmm2 vpunpckldq %xmm0, %xmm1, %xmm13 /* Get signed biased exponent */ vpsrld $7, %ymm3, %ymm0 vmovd (%rdx, %rax), %xmm6 vmovd (%rdx, %rcx), %xmm7 vmovd (%rdx, %rsi), %xmm8 vmovd (%rdx, %rdi), %xmm9 vpunpckldq %xmm7, %xmm6, %xmm10 vpunpckldq %xmm9, %xmm8, %xmm11 vpunpcklqdq %xmm11, %xmm10, %xmm12 vpunpcklqdq %xmm13, %xmm2, %xmm6 vandps _iAbsMask+__svml_scbrt_data_internal(%rip), %ymm5, %ymm3 /* Argument reduction */ vandps _sMantissaMask+__svml_scbrt_data_internal(%rip), %ymm5, %ymm8 vandps _sMantissaMask1+__svml_scbrt_data_internal(%rip), %ymm5, %ymm9 vpsubd _iSubConst+__svml_scbrt_data_internal(%rip), %ymm3, %ymm7 vorps _sExpMask+__svml_scbrt_data_internal(%rip), %ymm8, %ymm10 vorps _sExpMask1+__svml_scbrt_data_internal(%rip), %ymm9, %ymm11 /* r=y-y` */ vsubps %ymm11, %ymm10, %ymm15 /* Biased exponent-1 */ vpand _iSignMask+__svml_scbrt_data_internal(%rip), %ymm0, %ymm8 vpcmpgtd _iCmpConst+__svml_scbrt_data_internal(%rip), %ymm7, %ymm2 vmovmskps %ymm2, %eax vinsertf128 $1, %xmm6, %ymm12, %ymm14 /* Get absolute biased exponent */ vpand _iBExpMask+__svml_scbrt_data_internal(%rip), %ymm0, %ymm6 /* r=(y-y`)*rcp_table(y`) */ vmulps %ymm15, %ymm14, %ymm1 vpsubd _iOne+__svml_scbrt_data_internal(%rip), %ymm6, %ymm10 /* * Calculate exponent/3 * i555Exp=(2^{12}-1)/3*exponent */ vpmulld _i555+__svml_scbrt_data_internal(%rip), %ymm6, %ymm3 /* Get K (exponent=3*k+j) */ vpsrld $12, %ymm3, %ymm13 /* Get J */ vpsubd %ymm13, %ymm10, %ymm11 /* Add 2/3*(bias-1)+1 to (k+1/3*(bias-1)) */ vpaddd _iBias+__svml_scbrt_data_internal(%rip), %ymm13, %ymm7 vpsubd %ymm13, %ymm11, %ymm12 /* Attach sign to exponent */ vpor %ymm8, %ymm7, %ymm9 vpsubd %ymm13, %ymm12, %ymm14 vpslld $23, %ymm9, %ymm0 /* Get 128*J */ vpslld $7, %ymm14, %ymm15 /* iCbrtIndex=4*l+128*j */ vpaddd %ymm15, %ymm4, %ymm4 /* Zero index if callout expected */ vpandn %ymm4, %ymm2, %ymm4 /* Load Cbrt table Hi & Lo values */ vmovd %xmm4, %ecx vextractf128 $1, %ymm4, %xmm13 vpextrd $1, %xmm4, %esi movslq %ecx, %rcx movslq %esi, %rsi vmovd %xmm13, %r9d vmovd 128(%rdx, %rcx), %xmm2 vpextrd $2, %xmm4, %edi vpextrd $3, %xmm4, %r8d vmovd 128(%rdx, %rsi), %xmm3 vpextrd $1, %xmm13, %r10d vpextrd $2, %xmm13, %ecx vpextrd $3, %xmm13, %esi movslq %edi, %rdi movslq %r8d, %r8 movslq %r9d, %r9 movslq %r10d, %r10 movslq %ecx, %rcx movslq %esi, %rsi vmovd 128(%rdx, %rdi), %xmm6 vmovd 128(%rdx, %r8), %xmm7 vmovd 128(%rdx, %r9), %xmm11 vmovd 128(%rdx, %r10), %xmm12 vmovd 128(%rdx, %rcx), %xmm14 vmovd 128(%rdx, %rsi), %xmm15 vpunpckldq %xmm3, %xmm2, %xmm8 vpunpckldq %xmm7, %xmm6, %xmm9 vpunpckldq %xmm12, %xmm11, %xmm4 vpunpckldq %xmm15, %xmm14, %xmm11 vpunpcklqdq %xmm9, %xmm8, %xmm10 vpunpcklqdq %xmm11, %xmm4, %xmm2 vinsertf128 $1, %xmm2, %ymm10, %ymm3 /* sCbrtHi *= 2^k */ vmulps %ymm3, %ymm0, %ymm2 /* Polynomial: p1+r*(p2*r+r*(p3+r*p4)) */ vmovups _sP2+__svml_scbrt_data_internal(%rip), %ymm0 vfmadd213ps _sP1+__svml_scbrt_data_internal(%rip), %ymm1, %ymm0 /* T`*r */ vmulps %ymm2, %ymm1, %ymm1 /* (T`*r)*P */ vmulps %ymm1, %ymm0, %ymm0 /* * T`*r*P+D` * result = T`+(T`*r*P+D`) */ vaddps %ymm0, %ymm2, %ymm0 testl %eax, %eax /* Go to special inputs processing branch */ jne L(SPECIAL_VALUES_BRANCH) # LOE rbx r12 r13 r14 r15 eax 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): vmovups %ymm5, 32(%rsp) vmovups %ymm0, 64(%rsp) # LOE rbx r12 r13 r14 r15 eax ymm0 xorl %edx, %edx # 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 %edx, %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 %eax, %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 $8, %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 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 vmovss 32(%rsp, %r14, 4), %xmm0 call cbrtf@PLT # LOE rbx r14 r15 r12d r13d xmm0 vmovss %xmm0, 64(%rsp, %r14, 4) /* Process special inputs in loop */ jmp L(SPECIAL_VALUES_LOOP) # LOE rbx r15 r12d r13d END(_ZGVdN8v_cbrtf_avx2) .section .rodata, "a" .align 32 #ifdef __svml_scbrt_data_internal_typedef typedef unsigned int VUINT32; typedef struct { __declspec(align(32)) VUINT32 _sRcp[32][1]; __declspec(align(32)) VUINT32 _sCbrtHL[96][1]; __declspec(align(32)) VUINT32 _sP2[8][1]; __declspec(align(32)) VUINT32 _sP1[8][1]; __declspec(align(32)) VUINT32 _sMantissaMask[8][1]; __declspec(align(32)) VUINT32 _sMantissaMask1[8][1]; __declspec(align(32)) VUINT32 _sExpMask[8][1]; __declspec(align(32)) VUINT32 _sExpMask1[8][1]; __declspec(align(32)) VUINT32 _iRcpIndexMask[8][1]; __declspec(align(32)) VUINT32 _iBExpMask[8][1]; __declspec(align(32)) VUINT32 _iSignMask[8][1]; __declspec(align(32)) VUINT32 _iBias[8][1]; __declspec(align(32)) VUINT32 _iOne[8][1]; __declspec(align(32)) VUINT32 _i555[8][1]; __declspec(align(32)) VUINT32 _iAbsMask[8][1]; __declspec(align(32)) VUINT32 _iSubConst[8][1]; __declspec(align(32)) VUINT32 _iCmpConst[8][1]; } __svml_scbrt_data_internal; #endif __svml_scbrt_data_internal: /* _sRcp */ .long 0xBF7C0FC1 /* (1/(1+0/32+1/64)) = -.984615 */ .long 0xBF74898D /* (1/(1+1/32+1/64)) = -.955224 */ .long 0xBF6D7304 /* (1/(1+2/32+1/64)) = -.927536 */ .long 0xBF66C2B4 /* (1/(1+3/32+1/64)) = -.901408 */ .long 0xBF607038 /* (1/(1+4/32+1/64)) = -.876712 */ .long 0xBF5A740E /* (1/(1+5/32+1/64)) = -.853333 */ .long 0xBF54C77B /* (1/(1+6/32+1/64)) = -.831169 */ .long 0xBF4F6475 /* (1/(1+7/32+1/64)) = -.810127 */ .long 0xBF4A4588 /* (1/(1+8/32+1/64)) = -.790123 */ .long 0xBF4565C8 /* (1/(1+9/32+1/64)) = -.771084 */ .long 0xBF40C0C1 /* (1/(1+10/32+1/64)) = -.752941 */ .long 0xBF3C5264 /* (1/(1+11/32+1/64)) = -.735632 */ .long 0xBF381703 /* (1/(1+12/32+1/64)) = -.719101 */ .long 0xBF340B41 /* (1/(1+13/32+1/64)) = -.703297 */ .long 0xBF302C0B /* (1/(1+14/32+1/64)) = -.688172 */ .long 0xBF2C7692 /* (1/(1+15/32+1/64)) = -.673684 */ .long 0xBF28E83F /* (1/(1+16/32+1/64)) = -.659794 */ .long 0xBF257EB5 /* (1/(1+17/32+1/64)) = -.646465 */ .long 0xBF2237C3 /* (1/(1+18/32+1/64)) = -.633663 */ .long 0xBF1F1166 /* (1/(1+19/32+1/64)) = -.621359 */ .long 0xBF1C09C1 /* (1/(1+20/32+1/64)) = -.609524 */ .long 0xBF191F1A /* (1/(1+21/32+1/64)) = -.598131 */ .long 0xBF164FDA /* (1/(1+22/32+1/64)) = -.587156 */ .long 0xBF139A86 /* (1/(1+23/32+1/64)) = -.576577 */ .long 0xBF10FDBC /* (1/(1+24/32+1/64)) = -.566372 */ .long 0xBF0E7835 /* (1/(1+25/32+1/64)) = -.556522 */ .long 0xBF0C08C1 /* (1/(1+26/32+1/64)) = -.547009 */ .long 0xBF09AE41 /* (1/(1+27/32+1/64)) = -.537815 */ .long 0xBF0767AB /* (1/(1+28/32+1/64)) = -.528926 */ .long 0xBF053408 /* (1/(1+29/32+1/64)) = -.520325 */ .long 0xBF03126F /* (1/(1+30/32+1/64)) = -.512 */ .long 0xBF010204 /* (1/(1+31/32+1/64)) = -.503937 */ /* _sCbrtHL */ .align 32 .long 0x3F80A9C9 /* HI((2^0*(1+0/32+1/64))^(1/3)) = 1.005181 */ .long 0x3F81F833 /* HI((2^0*(1+1/32+1/64))^(1/3)) = 1.015387 */ .long 0x3F834007 /* HI((2^0*(1+2/32+1/64))^(1/3)) = 1.025391 */ .long 0x3F848194 /* HI((2^0*(1+3/32+1/64))^(1/3)) = 1.035204 */ .long 0x3F85BD25 /* HI((2^0*(1+4/32+1/64))^(1/3)) = 1.044835 */ .long 0x3F86F300 /* HI((2^0*(1+5/32+1/64))^(1/3)) = 1.054291 */ .long 0x3F882365 /* HI((2^0*(1+6/32+1/64))^(1/3)) = 1.06358 */ .long 0x3F894E90 /* HI((2^0*(1+7/32+1/64))^(1/3)) = 1.07271 */ .long 0x3F8A74B9 /* HI((2^0*(1+8/32+1/64))^(1/3)) = 1.081687 */ .long 0x3F8B9615 /* HI((2^0*(1+9/32+1/64))^(1/3)) = 1.090518 */ .long 0x3F8CB2D4 /* HI((2^0*(1+10/32+1/64))^(1/3)) = 1.099207 */ .long 0x3F8DCB24 /* HI((2^0*(1+11/32+1/64))^(1/3)) = 1.107762 */ .long 0x3F8EDF31 /* HI((2^0*(1+12/32+1/64))^(1/3)) = 1.116186 */ .long 0x3F8FEF22 /* HI((2^0*(1+13/32+1/64))^(1/3)) = 1.124485 */ .long 0x3F90FB1F /* HI((2^0*(1+14/32+1/64))^(1/3)) = 1.132664 */ .long 0x3F92034C /* HI((2^0*(1+15/32+1/64))^(1/3)) = 1.140726 */ .long 0x3F9307CA /* HI((2^0*(1+16/32+1/64))^(1/3)) = 1.148675 */ .long 0x3F9408B9 /* HI((2^0*(1+17/32+1/64))^(1/3)) = 1.156516 */ .long 0x3F950638 /* HI((2^0*(1+18/32+1/64))^(1/3)) = 1.164252 */ .long 0x3F960064 /* HI((2^0*(1+19/32+1/64))^(1/3)) = 1.171887 */ .long 0x3F96F759 /* HI((2^0*(1+20/32+1/64))^(1/3)) = 1.179423 */ .long 0x3F97EB2F /* HI((2^0*(1+21/32+1/64))^(1/3)) = 1.186865 */ .long 0x3F98DC01 /* HI((2^0*(1+22/32+1/64))^(1/3)) = 1.194214 */ .long 0x3F99C9E5 /* HI((2^0*(1+23/32+1/64))^(1/3)) = 1.201474 */ .long 0x3F9AB4F2 /* HI((2^0*(1+24/32+1/64))^(1/3)) = 1.208647 */ .long 0x3F9B9D3D /* HI((2^0*(1+25/32+1/64))^(1/3)) = 1.215736 */ .long 0x3F9C82DA /* HI((2^0*(1+26/32+1/64))^(1/3)) = 1.222743 */ .long 0x3F9D65DD /* HI((2^0*(1+27/32+1/64))^(1/3)) = 1.229671 */ .long 0x3F9E4659 /* HI((2^0*(1+28/32+1/64))^(1/3)) = 1.236522 */ .long 0x3F9F245F /* HI((2^0*(1+29/32+1/64))^(1/3)) = 1.243297 */ .long 0x3FA00000 /* HI((2^0*(1+30/32+1/64))^(1/3)) = 1.25 */ .long 0x3FA0D94C /* HI((2^0*(1+31/32+1/64))^(1/3)) = 1.256631 */ .long 0x3FA21B02 /* HI((2^1*(1+0/32+1/64))^(1/3)) = 1.266449 */ .long 0x3FA3C059 /* HI((2^1*(1+1/32+1/64))^(1/3)) = 1.279307 */ .long 0x3FA55D61 /* HI((2^1*(1+2/32+1/64))^(1/3)) = 1.291912 */ .long 0x3FA6F282 /* HI((2^1*(1+3/32+1/64))^(1/3)) = 1.304276 */ .long 0x3FA8801A /* HI((2^1*(1+4/32+1/64))^(1/3)) = 1.316409 */ .long 0x3FAA067E /* HI((2^1*(1+5/32+1/64))^(1/3)) = 1.328323 */ .long 0x3FAB8602 /* HI((2^1*(1+6/32+1/64))^(1/3)) = 1.340027 */ .long 0x3FACFEEF /* HI((2^1*(1+7/32+1/64))^(1/3)) = 1.35153 */ .long 0x3FAE718E /* HI((2^1*(1+8/32+1/64))^(1/3)) = 1.36284 */ .long 0x3FAFDE1F /* HI((2^1*(1+9/32+1/64))^(1/3)) = 1.373966 */ .long 0x3FB144E1 /* HI((2^1*(1+10/32+1/64))^(1/3)) = 1.384915 */ .long 0x3FB2A60D /* HI((2^1*(1+11/32+1/64))^(1/3)) = 1.395692 */ .long 0x3FB401DA /* HI((2^1*(1+12/32+1/64))^(1/3)) = 1.406307 */ .long 0x3FB5587B /* HI((2^1*(1+13/32+1/64))^(1/3)) = 1.416763 */ .long 0x3FB6AA20 /* HI((2^1*(1+14/32+1/64))^(1/3)) = 1.427067 */ .long 0x3FB7F6F7 /* HI((2^1*(1+15/32+1/64))^(1/3)) = 1.437224 */ .long 0x3FB93F29 /* HI((2^1*(1+16/32+1/64))^(1/3)) = 1.44724 */ .long 0x3FBA82E1 /* HI((2^1*(1+17/32+1/64))^(1/3)) = 1.457119 */ .long 0x3FBBC244 /* HI((2^1*(1+18/32+1/64))^(1/3)) = 1.466866 */ .long 0x3FBCFD77 /* HI((2^1*(1+19/32+1/64))^(1/3)) = 1.476485 */ .long 0x3FBE349B /* HI((2^1*(1+20/32+1/64))^(1/3)) = 1.48598 */ .long 0x3FBF67D3 /* HI((2^1*(1+21/32+1/64))^(1/3)) = 1.495356 */ .long 0x3FC0973C /* HI((2^1*(1+22/32+1/64))^(1/3)) = 1.504615 */ .long 0x3FC1C2F6 /* HI((2^1*(1+23/32+1/64))^(1/3)) = 1.513762 */ .long 0x3FC2EB1A /* HI((2^1*(1+24/32+1/64))^(1/3)) = 1.5228 */ .long 0x3FC40FC6 /* HI((2^1*(1+25/32+1/64))^(1/3)) = 1.531731 */ .long 0x3FC53112 /* HI((2^1*(1+26/32+1/64))^(1/3)) = 1.54056 */ .long 0x3FC64F16 /* HI((2^1*(1+27/32+1/64))^(1/3)) = 1.549289 */ .long 0x3FC769EB /* HI((2^1*(1+28/32+1/64))^(1/3)) = 1.55792 */ .long 0x3FC881A6 /* HI((2^1*(1+29/32+1/64))^(1/3)) = 1.566457 */ .long 0x3FC9965D /* HI((2^1*(1+30/32+1/64))^(1/3)) = 1.574901 */ .long 0x3FCAA825 /* HI((2^1*(1+31/32+1/64))^(1/3)) = 1.583256 */ .long 0x3FCC3D79 /* HI((2^2*(1+0/32+1/64))^(1/3)) = 1.595626 */ .long 0x3FCE5054 /* HI((2^2*(1+1/32+1/64))^(1/3)) = 1.611826 */ .long 0x3FD058B8 /* HI((2^2*(1+2/32+1/64))^(1/3)) = 1.627707 */ .long 0x3FD25726 /* HI((2^2*(1+3/32+1/64))^(1/3)) = 1.643285 */ .long 0x3FD44C15 /* HI((2^2*(1+4/32+1/64))^(1/3)) = 1.658572 */ .long 0x3FD637F2 /* HI((2^2*(1+5/32+1/64))^(1/3)) = 1.673582 */ .long 0x3FD81B24 /* HI((2^2*(1+6/32+1/64))^(1/3)) = 1.688328 */ .long 0x3FD9F60B /* HI((2^2*(1+7/32+1/64))^(1/3)) = 1.702821 */ .long 0x3FDBC8FE /* HI((2^2*(1+8/32+1/64))^(1/3)) = 1.717071 */ .long 0x3FDD9452 /* HI((2^2*(1+9/32+1/64))^(1/3)) = 1.731089 */ .long 0x3FDF5853 /* HI((2^2*(1+10/32+1/64))^(1/3)) = 1.744883 */ .long 0x3FE1154B /* HI((2^2*(1+11/32+1/64))^(1/3)) = 1.758462 */ .long 0x3FE2CB7F /* HI((2^2*(1+12/32+1/64))^(1/3)) = 1.771835 */ .long 0x3FE47B2E /* HI((2^2*(1+13/32+1/64))^(1/3)) = 1.785009 */ .long 0x3FE62496 /* HI((2^2*(1+14/32+1/64))^(1/3)) = 1.797992 */ .long 0x3FE7C7F0 /* HI((2^2*(1+15/32+1/64))^(1/3)) = 1.810789 */ .long 0x3FE96571 /* HI((2^2*(1+16/32+1/64))^(1/3)) = 1.823408 */ .long 0x3FEAFD4C /* HI((2^2*(1+17/32+1/64))^(1/3)) = 1.835855 */ .long 0x3FEC8FB3 /* HI((2^2*(1+18/32+1/64))^(1/3)) = 1.848135 */ .long 0x3FEE1CD3 /* HI((2^2*(1+19/32+1/64))^(1/3)) = 1.860255 */ .long 0x3FEFA4D7 /* HI((2^2*(1+20/32+1/64))^(1/3)) = 1.872218 */ .long 0x3FF127E9 /* HI((2^2*(1+21/32+1/64))^(1/3)) = 1.88403 */ .long 0x3FF2A62F /* HI((2^2*(1+22/32+1/64))^(1/3)) = 1.895697 */ .long 0x3FF41FD0 /* HI((2^2*(1+23/32+1/64))^(1/3)) = 1.907221 */ .long 0x3FF594EE /* HI((2^2*(1+24/32+1/64))^(1/3)) = 1.918607 */ .long 0x3FF705AC /* HI((2^2*(1+25/32+1/64))^(1/3)) = 1.929861 */ .long 0x3FF8722A /* HI((2^2*(1+26/32+1/64))^(1/3)) = 1.940984 */ .long 0x3FF9DA86 /* HI((2^2*(1+27/32+1/64))^(1/3)) = 1.951981 */ .long 0x3FFB3EDE /* HI((2^2*(1+28/32+1/64))^(1/3)) = 1.962856 */ .long 0x3FFC9F4E /* HI((2^2*(1+29/32+1/64))^(1/3)) = 1.973612 */ .long 0x3FFDFBF2 /* HI((2^2*(1+30/32+1/64))^(1/3)) = 1.984251 */ .long 0x3FFF54E3 /* HI((2^2*(1+31/32+1/64))^(1/3)) = 1.994778 */ .align 32 .long 0xBDE3A962, 0xBDE3A962, 0xBDE3A962, 0xBDE3A962, 0xBDE3A962, 0xBDE3A962, 0xBDE3A962, 0xBDE3A962 /* _sP2 */ .align 32 .long 0x3EAAAC91, 0x3EAAAC91, 0x3EAAAC91, 0x3EAAAC91, 0x3EAAAC91, 0x3EAAAC91, 0x3EAAAC91, 0x3EAAAC91 /* _sP1 */ .align 32 .long 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff /* _sMantissaMask (EXP_MSK3) */ .align 32 .long 0x007e0000, 0x007e0000, 0x007e0000, 0x007e0000, 0x007e0000, 0x007e0000, 0x007e0000, 0x007e0000 /* _sMantissaMask1 (SIG_MASK) */ .align 32 .long 0xBF800000, 0xBF800000, 0xBF800000, 0xBF800000, 0xBF800000, 0xBF800000, 0xBF800000, 0xBF800000 /* _sExpMask (EXP_MASK) */ .align 32 .long 0xBF820000, 0xBF820000, 0xBF820000, 0xBF820000, 0xBF820000, 0xBF820000, 0xBF820000, 0xBF820000 /* _sExpMask1 (EXP_MASK2) */ .align 32 .long 0x0000007c, 0x0000007c, 0x0000007c, 0x0000007c, 0x0000007c, 0x0000007c, 0x0000007c, 0x0000007c /* _iRcpIndexMask */ .align 32 .long 0x000000ff, 0x000000ff, 0x000000ff, 0x000000ff, 0x000000ff, 0x000000ff, 0x000000ff, 0x000000ff /* _iBExpMask */ .align 32 .long 0x00000100, 0x00000100, 0x00000100, 0x00000100, 0x00000100, 0x00000100, 0x00000100, 0x00000100 /* _iSignMask */ .align 32 .long 0x00000055, 0x00000055, 0x00000055, 0x00000055, 0x00000055, 0x00000055, 0x00000055, 0x00000055 /* _iBias */ .align 32 .long 0x00000001, 0x00000001, 0x00000001, 0x00000001, 0x00000001, 0x00000001, 0x00000001, 0x00000001 /* _iOne */ .align 32 .long 0x00000555, 0x00000555, 0x00000555, 0x00000555, 0x00000555, 0x00000555, 0x00000555, 0x00000555 /* _i555 */ .align 32 .long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff /* _iAbsMask */ .align 32 .long 0x80800000, 0x80800000, 0x80800000, 0x80800000, 0x80800000, 0x80800000, 0x80800000, 0x80800000 /* _iSubConst */ .align 32 .long 0xFEFFFFFF, 0xFEFFFFFF, 0xFEFFFFFF, 0xFEFFFFFF, 0xFEFFFFFF, 0xFEFFFFFF, 0xFEFFFFFF, 0xFEFFFFFF /* _iCmpConst */ .align 32 .type __svml_scbrt_data_internal, @object .size __svml_scbrt_data_internal, .-__svml_scbrt_data_internal