1 | /* Function cbrt vectorized with SSE4. |
2 | Copyright (C) 2021-2024 Free Software Foundation, Inc. |
3 | This file is part of the GNU C Library. |
4 | |
5 | The GNU C Library is free software; you can redistribute it and/or |
6 | modify it under the terms of the GNU Lesser General Public |
7 | License as published by the Free Software Foundation; either |
8 | version 2.1 of the License, or (at your option) any later version. |
9 | |
10 | The GNU C Library is distributed in the hope that it will be useful, |
11 | but WITHOUT ANY WARRANTY; without even the implied warranty of |
12 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
13 | Lesser General Public License for more details. |
14 | |
15 | You should have received a copy of the GNU Lesser General Public |
16 | License along with the GNU C Library; if not, see |
17 | https://www.gnu.org/licenses/. */ |
18 | |
19 | /* |
20 | * ALGORITHM DESCRIPTION: |
21 | * |
22 | * x=2^{3*k+j} * 1.b1 b2 ... b5 b6 ... b52 |
23 | * Let r=(x*2^{-3k-j} - 1.b1 b2 ... b5 1)* rcp[b1 b2 ..b5], |
24 | * where rcp[b1 b2 .. b5]=1/(1.b1 b2 b3 b4 b5 1) in double precision |
25 | * cbrt(2^j * 1. b1 b2 .. b5 1) is approximated as T[j][b1..b5]+D[j][b1..b5] |
26 | * (T stores the high 53 bits, D stores the low order bits) |
27 | * Result=2^k*T+(2^k*T*r)*P+2^k*D |
28 | * where P=p1+p2*r+..+p8*r^7 |
29 | * |
30 | */ |
31 | |
32 | /* Offsets for data table __svml_dcbrt_data_internal |
33 | */ |
34 | #define _dRcp 0 |
35 | #define _dCbrtHiLo 256 |
36 | #define _dA7 1024 |
37 | #define _dA6 1040 |
38 | #define _dA5 1056 |
39 | #define _dA4 1072 |
40 | #define _dA3 1088 |
41 | #define _dA2 1104 |
42 | #define _dA1 1120 |
43 | #define _dNeg65Div64 1136 |
44 | #define _dSgnf6Mask 1152 |
45 | #define _dNegOne 1168 |
46 | #define _dMantissaMask 1184 |
47 | #define _lExpHiMask 1200 |
48 | #define _lExpLoMask 1216 |
49 | #define _l1556 1232 |
50 | #define _iRcpIndexMask 1248 |
51 | #define _iAbsMask 1264 |
52 | #define _iSignMask 1280 |
53 | #define _iBias 1296 |
54 | #define _iSub 1312 |
55 | #define _iCmp 1328 |
56 | |
57 | #include <sysdep.h> |
58 | |
59 | .section .text.sse4, "ax" , @progbits |
60 | ENTRY(_ZGVbN2v_cbrt_sse4) |
61 | subq $72, %rsp |
62 | cfi_def_cfa_offset(80) |
63 | |
64 | /* Calculate CbrtIndex */ |
65 | movaps %xmm0, %xmm10 |
66 | psrlq $52, %xmm10 |
67 | |
68 | /* Load 1/(1+iRcpIndex/32+1/64) reciprocal table value */ |
69 | lea __svml_dcbrt_data_internal(%rip), %r8 |
70 | pand _lExpLoMask+__svml_dcbrt_data_internal(%rip), %xmm10 |
71 | movdqu _l1556+__svml_dcbrt_data_internal(%rip), %xmm9 |
72 | pmuludq %xmm10, %xmm9 |
73 | |
74 | /* If the exponent field is zero - go to callout to process denormals */ |
75 | movq _iAbsMask+__svml_dcbrt_data_internal(%rip), %xmm7 |
76 | |
77 | /* Calculate Rcp table index */ |
78 | movq _iRcpIndexMask+__svml_dcbrt_data_internal(%rip), %xmm13 |
79 | |
80 | /* Get iX - high part of argument */ |
81 | pshufd $221, %xmm0, %xmm4 |
82 | |
83 | /* |
84 | * Declarations |
85 | * Load constants |
86 | */ |
87 | movq _iSignMask+__svml_dcbrt_data_internal(%rip), %xmm1 |
88 | pand %xmm4, %xmm7 |
89 | pand %xmm4, %xmm13 |
90 | |
91 | /* Compute 2^k */ |
92 | psrld $20, %xmm4 |
93 | movq _iBias+__svml_dcbrt_data_internal(%rip), %xmm2 |
94 | pand %xmm1, %xmm4 |
95 | pshufd $136, %xmm9, %xmm15 |
96 | por %xmm2, %xmm4 |
97 | psrld $14, %xmm15 |
98 | psrld $12, %xmm13 |
99 | paddd %xmm15, %xmm4 |
100 | pxor %xmm2, %xmm2 |
101 | pslld $20, %xmm4 |
102 | movdqa %xmm15, %xmm11 |
103 | movd %xmm13, %edx |
104 | paddd %xmm15, %xmm11 |
105 | pshufd $1, %xmm13, %xmm8 |
106 | punpckldq %xmm4, %xmm2 |
107 | |
108 | /* |
109 | * VAND( L, l2k, = l2k, lExpHiMask ); |
110 | * Argument reduction Z |
111 | */ |
112 | movups _dMantissaMask+__svml_dcbrt_data_internal(%rip), %xmm1 |
113 | movups _dSgnf6Mask+__svml_dcbrt_data_internal(%rip), %xmm4 |
114 | andps %xmm0, %xmm1 |
115 | movd %xmm8, %ecx |
116 | andps %xmm0, %xmm4 |
117 | orps _dNegOne+__svml_dcbrt_data_internal(%rip), %xmm1 |
118 | orps _dNeg65Div64+__svml_dcbrt_data_internal(%rip), %xmm4 |
119 | movslq %edx, %rdx |
120 | subpd %xmm4, %xmm1 |
121 | movslq %ecx, %rcx |
122 | movsd (%r8, %rdx), %xmm3 |
123 | movq _iSub+__svml_dcbrt_data_internal(%rip), %xmm5 |
124 | psubd %xmm5, %xmm7 |
125 | movhpd (%r8, %rcx), %xmm3 |
126 | mulpd %xmm1, %xmm3 |
127 | |
128 | /* Polynomial */ |
129 | movups _dA7+__svml_dcbrt_data_internal(%rip), %xmm5 |
130 | mulpd %xmm3, %xmm5 |
131 | addpd _dA6+__svml_dcbrt_data_internal(%rip), %xmm5 |
132 | mulpd %xmm3, %xmm5 |
133 | addpd _dA5+__svml_dcbrt_data_internal(%rip), %xmm5 |
134 | mulpd %xmm3, %xmm5 |
135 | addpd _dA4+__svml_dcbrt_data_internal(%rip), %xmm5 |
136 | mulpd %xmm3, %xmm5 |
137 | addpd _dA3+__svml_dcbrt_data_internal(%rip), %xmm5 |
138 | pshufd $136, %xmm10, %xmm12 |
139 | psubd %xmm15, %xmm12 |
140 | psubd %xmm11, %xmm12 |
141 | mulpd %xmm3, %xmm5 |
142 | pslld $8, %xmm12 |
143 | paddd %xmm12, %xmm13 |
144 | |
145 | /* Load cbrt(2^j*(1+iRcpIndex/32+1/64)) Hi & Lo values */ |
146 | movd %xmm13, %esi |
147 | pshufd $1, %xmm13, %xmm14 |
148 | movq _iCmp+__svml_dcbrt_data_internal(%rip), %xmm6 |
149 | movd %xmm14, %edi |
150 | pcmpgtd %xmm6, %xmm7 |
151 | movmskps %xmm7, %eax |
152 | addpd _dA2+__svml_dcbrt_data_internal(%rip), %xmm5 |
153 | movslq %esi, %rsi |
154 | movslq %edi, %rdi |
155 | mulpd %xmm3, %xmm5 |
156 | movsd 256(%r8, %rsi), %xmm6 |
157 | movhpd 256(%r8, %rdi), %xmm6 |
158 | |
159 | /* THi*2^k, TLo*2^k */ |
160 | mulpd %xmm2, %xmm6 |
161 | addpd _dA1+__svml_dcbrt_data_internal(%rip), %xmm5 |
162 | |
163 | /* THi*2^k*Z */ |
164 | mulpd %xmm6, %xmm3 |
165 | |
166 | /* Final reconstruction */ |
167 | mulpd %xmm3, %xmm5 |
168 | addpd %xmm5, %xmm6 |
169 | andl $3, %eax |
170 | |
171 | /* Go to special inputs processing branch */ |
172 | jne L(SPECIAL_VALUES_BRANCH) |
173 | # LOE rbx rbp r12 r13 r14 r15 eax xmm0 xmm6 |
174 | |
175 | /* Restore registers |
176 | * and exit the function |
177 | */ |
178 | |
179 | L(EXIT): |
180 | movaps %xmm6, %xmm0 |
181 | addq $72, %rsp |
182 | cfi_def_cfa_offset(8) |
183 | ret |
184 | cfi_def_cfa_offset(80) |
185 | |
186 | /* Branch to process |
187 | * special inputs |
188 | */ |
189 | |
190 | L(SPECIAL_VALUES_BRANCH): |
191 | movups %xmm0, 32(%rsp) |
192 | movups %xmm6, 48(%rsp) |
193 | # LOE rbx rbp r12 r13 r14 r15 eax xmm6 |
194 | |
195 | xorl %edx, %edx |
196 | movq %r12, 16(%rsp) |
197 | cfi_offset(12, -64) |
198 | movl %edx, %r12d |
199 | movq %r13, 8(%rsp) |
200 | cfi_offset(13, -72) |
201 | movl %eax, %r13d |
202 | movq %r14, (%rsp) |
203 | cfi_offset(14, -80) |
204 | # LOE rbx rbp r15 r12d r13d |
205 | |
206 | /* Range mask |
207 | * bits check |
208 | */ |
209 | |
210 | L(RANGEMASK_CHECK): |
211 | btl %r12d, %r13d |
212 | |
213 | /* Call scalar math function */ |
214 | jc L(SCALAR_MATH_CALL) |
215 | # LOE rbx rbp r15 r12d r13d |
216 | |
217 | /* Special inputs |
218 | * processing loop |
219 | */ |
220 | |
221 | L(SPECIAL_VALUES_LOOP): |
222 | incl %r12d |
223 | cmpl $2, %r12d |
224 | |
225 | /* Check bits in range mask */ |
226 | jl L(RANGEMASK_CHECK) |
227 | # LOE rbx rbp r15 r12d r13d |
228 | |
229 | movq 16(%rsp), %r12 |
230 | cfi_restore(12) |
231 | movq 8(%rsp), %r13 |
232 | cfi_restore(13) |
233 | movq (%rsp), %r14 |
234 | cfi_restore(14) |
235 | movups 48(%rsp), %xmm6 |
236 | |
237 | /* Go to exit */ |
238 | jmp L(EXIT) |
239 | cfi_offset(12, -64) |
240 | cfi_offset(13, -72) |
241 | cfi_offset(14, -80) |
242 | # LOE rbx rbp r12 r13 r14 r15 xmm6 |
243 | |
244 | /* Scalar math function call |
245 | * to process special input |
246 | */ |
247 | |
248 | L(SCALAR_MATH_CALL): |
249 | movl %r12d, %r14d |
250 | movsd 32(%rsp, %r14, 8), %xmm0 |
251 | call cbrt@PLT |
252 | # LOE rbx rbp r14 r15 r12d r13d xmm0 |
253 | |
254 | movsd %xmm0, 48(%rsp, %r14, 8) |
255 | |
256 | /* Process special inputs in loop */ |
257 | jmp L(SPECIAL_VALUES_LOOP) |
258 | # LOE rbx rbp r15 r12d r13d |
259 | END(_ZGVbN2v_cbrt_sse4) |
260 | |
261 | .section .rodata, "a" |
262 | .align 16 |
263 | |
264 | #ifdef __svml_dcbrt_data_internal_typedef |
265 | typedef unsigned int VUINT32; |
266 | typedef struct { |
267 | __declspec(align(16)) VUINT32 _dRcp[32][2]; |
268 | __declspec(align(16)) VUINT32 _dCbrtHiLo[96][2]; |
269 | __declspec(align(16)) VUINT32 _dA7[2][2]; |
270 | __declspec(align(16)) VUINT32 _dA6[2][2]; |
271 | __declspec(align(16)) VUINT32 _dA5[2][2]; |
272 | __declspec(align(16)) VUINT32 _dA4[2][2]; |
273 | __declspec(align(16)) VUINT32 _dA3[2][2]; |
274 | __declspec(align(16)) VUINT32 _dA2[2][2]; |
275 | __declspec(align(16)) VUINT32 _dA1[2][2]; |
276 | __declspec(align(16)) VUINT32 _dNeg65Div64[2][2]; |
277 | __declspec(align(16)) VUINT32 _dSgnf6Mask[2][2]; |
278 | __declspec(align(16)) VUINT32 _dNegOne[2][2]; |
279 | __declspec(align(16)) VUINT32 _dMantissaMask[2][2]; |
280 | __declspec(align(16)) VUINT32 _lExpHiMask[2][2]; |
281 | __declspec(align(16)) VUINT32 _lExpLoMask[2][2]; |
282 | __declspec(align(16)) VUINT32 _l1556[2][2]; |
283 | __declspec(align(16)) VUINT32 _iRcpIndexMask[4][1]; |
284 | __declspec(align(16)) VUINT32 _iAbsMask[4][1]; |
285 | __declspec(align(16)) VUINT32 _iSignMask[4][1]; |
286 | __declspec(align(16)) VUINT32 _iBias[4][1]; |
287 | __declspec(align(16)) VUINT32 _iSub[4][1]; |
288 | __declspec(align(16)) VUINT32 _iCmp[4][1]; |
289 | } __svml_dcbrt_data_internal; |
290 | #endif |
291 | __svml_dcbrt_data_internal: |
292 | /* _dRcp */ |
293 | .quad 0xBFEF81F81F81F820 /* (1/(1+0/32+1/64)) = -.984615 */ |
294 | .quad 0xBFEE9131ABF0B767 /* (1/(1+1/32+1/64)) = -.955224 */ |
295 | .quad 0xBFEDAE6076B981DB /* (1/(1+2/32+1/64)) = -.927536 */ |
296 | .quad 0xBFECD85689039B0B /* (1/(1+3/32+1/64)) = -.901408 */ |
297 | .quad 0xBFEC0E070381C0E0 /* (1/(1+4/32+1/64)) = -.876712 */ |
298 | .quad 0xBFEB4E81B4E81B4F /* (1/(1+5/32+1/64)) = -.853333 */ |
299 | .quad 0xBFEA98EF606A63BE /* (1/(1+6/32+1/64)) = -.831169 */ |
300 | .quad 0xBFE9EC8E951033D9 /* (1/(1+7/32+1/64)) = -.810127 */ |
301 | .quad 0xBFE948B0FCD6E9E0 /* (1/(1+8/32+1/64)) = -.790123 */ |
302 | .quad 0xBFE8ACB90F6BF3AA /* (1/(1+9/32+1/64)) = -.771084 */ |
303 | .quad 0xBFE8181818181818 /* (1/(1+10/32+1/64)) = -.752941 */ |
304 | .quad 0xBFE78A4C8178A4C8 /* (1/(1+11/32+1/64)) = -.735632 */ |
305 | .quad 0xBFE702E05C0B8170 /* (1/(1+12/32+1/64)) = -.719101 */ |
306 | .quad 0xBFE6816816816817 /* (1/(1+13/32+1/64)) = -.703297 */ |
307 | .quad 0xBFE6058160581606 /* (1/(1+14/32+1/64)) = -.688172 */ |
308 | .quad 0xBFE58ED2308158ED /* (1/(1+15/32+1/64)) = -.673684 */ |
309 | .quad 0xBFE51D07EAE2F815 /* (1/(1+16/32+1/64)) = -.659794 */ |
310 | .quad 0xBFE4AFD6A052BF5B /* (1/(1+17/32+1/64)) = -.646465 */ |
311 | .quad 0xBFE446F86562D9FB /* (1/(1+18/32+1/64)) = -.633663 */ |
312 | .quad 0xBFE3E22CBCE4A902 /* (1/(1+19/32+1/64)) = -.621359 */ |
313 | .quad 0xBFE3813813813814 /* (1/(1+20/32+1/64)) = -.609524 */ |
314 | .quad 0xBFE323E34A2B10BF /* (1/(1+21/32+1/64)) = -.598131 */ |
315 | .quad 0xBFE2C9FB4D812CA0 /* (1/(1+22/32+1/64)) = -.587156 */ |
316 | .quad 0xBFE27350B8812735 /* (1/(1+23/32+1/64)) = -.576577 */ |
317 | .quad 0xBFE21FB78121FB78 /* (1/(1+24/32+1/64)) = -.566372 */ |
318 | .quad 0xBFE1CF06ADA2811D /* (1/(1+25/32+1/64)) = -.556522 */ |
319 | .quad 0xBFE1811811811812 /* (1/(1+26/32+1/64)) = -.547009 */ |
320 | .quad 0xBFE135C81135C811 /* (1/(1+27/32+1/64)) = -.537815 */ |
321 | .quad 0xBFE0ECF56BE69C90 /* (1/(1+28/32+1/64)) = -.528926 */ |
322 | .quad 0xBFE0A6810A6810A7 /* (1/(1+29/32+1/64)) = -.520325 */ |
323 | .quad 0xBFE0624DD2F1A9FC /* (1/(1+30/32+1/64)) = -.512 */ |
324 | .quad 0xBFE0204081020408 /* (1/(1+31/32+1/64)) = -.503937 */ |
325 | /* _dCbrtHiLo */ |
326 | .align 16 |
327 | .quad 0x3FF01539221D4C97 /* HI((2^0*(1+0/32+1/64))^(1/3)) = 1.005181 */ |
328 | .quad 0x3FF03F06771A2E33 /* HI((2^0*(1+1/32+1/64))^(1/3)) = 1.015387 */ |
329 | .quad 0x3FF06800E629D671 /* HI((2^0*(1+2/32+1/64))^(1/3)) = 1.025391 */ |
330 | .quad 0x3FF090328731DEB2 /* HI((2^0*(1+3/32+1/64))^(1/3)) = 1.035204 */ |
331 | .quad 0x3FF0B7A4B1BD64AC /* HI((2^0*(1+4/32+1/64))^(1/3)) = 1.044835 */ |
332 | .quad 0x3FF0DE601024FB87 /* HI((2^0*(1+5/32+1/64))^(1/3)) = 1.054291 */ |
333 | .quad 0x3FF1046CB0597000 /* HI((2^0*(1+6/32+1/64))^(1/3)) = 1.06358 */ |
334 | .quad 0x3FF129D212A9BA9B /* HI((2^0*(1+7/32+1/64))^(1/3)) = 1.07271 */ |
335 | .quad 0x3FF14E9736CDAF38 /* HI((2^0*(1+8/32+1/64))^(1/3)) = 1.081687 */ |
336 | .quad 0x3FF172C2A772F507 /* HI((2^0*(1+9/32+1/64))^(1/3)) = 1.090518 */ |
337 | .quad 0x3FF1965A848001D3 /* HI((2^0*(1+10/32+1/64))^(1/3)) = 1.099207 */ |
338 | .quad 0x3FF1B9648C38C55D /* HI((2^0*(1+11/32+1/64))^(1/3)) = 1.107762 */ |
339 | .quad 0x3FF1DBE6236A0C45 /* HI((2^0*(1+12/32+1/64))^(1/3)) = 1.116186 */ |
340 | .quad 0x3FF1FDE45CBB1F9F /* HI((2^0*(1+13/32+1/64))^(1/3)) = 1.124485 */ |
341 | .quad 0x3FF21F63FF409042 /* HI((2^0*(1+14/32+1/64))^(1/3)) = 1.132664 */ |
342 | .quad 0x3FF240698C6746E5 /* HI((2^0*(1+15/32+1/64))^(1/3)) = 1.140726 */ |
343 | .quad 0x3FF260F9454BB99B /* HI((2^0*(1+16/32+1/64))^(1/3)) = 1.148675 */ |
344 | .quad 0x3FF281172F8E7073 /* HI((2^0*(1+17/32+1/64))^(1/3)) = 1.156516 */ |
345 | .quad 0x3FF2A0C719B4B6D0 /* HI((2^0*(1+18/32+1/64))^(1/3)) = 1.164252 */ |
346 | .quad 0x3FF2C00C9F2263EC /* HI((2^0*(1+19/32+1/64))^(1/3)) = 1.171887 */ |
347 | .quad 0x3FF2DEEB2BB7FB78 /* HI((2^0*(1+20/32+1/64))^(1/3)) = 1.179423 */ |
348 | .quad 0x3FF2FD65FF1EFBBC /* HI((2^0*(1+21/32+1/64))^(1/3)) = 1.186865 */ |
349 | .quad 0x3FF31B802FCCF6A2 /* HI((2^0*(1+22/32+1/64))^(1/3)) = 1.194214 */ |
350 | .quad 0x3FF3393CADC50708 /* HI((2^0*(1+23/32+1/64))^(1/3)) = 1.201474 */ |
351 | .quad 0x3FF3569E451E4C2A /* HI((2^0*(1+24/32+1/64))^(1/3)) = 1.208647 */ |
352 | .quad 0x3FF373A7A0554CDE /* HI((2^0*(1+25/32+1/64))^(1/3)) = 1.215736 */ |
353 | .quad 0x3FF3905B4A6D76CE /* HI((2^0*(1+26/32+1/64))^(1/3)) = 1.222743 */ |
354 | .quad 0x3FF3ACBBB0E756B6 /* HI((2^0*(1+27/32+1/64))^(1/3)) = 1.229671 */ |
355 | .quad 0x3FF3C8CB258FA340 /* HI((2^0*(1+28/32+1/64))^(1/3)) = 1.236522 */ |
356 | .quad 0x3FF3E48BE02AC0CE /* HI((2^0*(1+29/32+1/64))^(1/3)) = 1.243297 */ |
357 | .quad 0x3FF4000000000000 /* HI((2^0*(1+30/32+1/64))^(1/3)) = 1.25 */ |
358 | .quad 0x3FF41B298D47800E /* HI((2^0*(1+31/32+1/64))^(1/3)) = 1.256631 */ |
359 | .quad 0x3FF443604B34D9B2 /* HI((2^1*(1+0/32+1/64))^(1/3)) = 1.266449 */ |
360 | .quad 0x3FF4780B20906571 /* HI((2^1*(1+1/32+1/64))^(1/3)) = 1.279307 */ |
361 | .quad 0x3FF4ABAC3EE06706 /* HI((2^1*(1+2/32+1/64))^(1/3)) = 1.291912 */ |
362 | .quad 0x3FF4DE505DA66B8D /* HI((2^1*(1+3/32+1/64))^(1/3)) = 1.304276 */ |
363 | .quad 0x3FF51003420A5C07 /* HI((2^1*(1+4/32+1/64))^(1/3)) = 1.316409 */ |
364 | .quad 0x3FF540CFD6FD11C1 /* HI((2^1*(1+5/32+1/64))^(1/3)) = 1.328323 */ |
365 | .quad 0x3FF570C04260716B /* HI((2^1*(1+6/32+1/64))^(1/3)) = 1.340027 */ |
366 | .quad 0x3FF59FDDF7A45F38 /* HI((2^1*(1+7/32+1/64))^(1/3)) = 1.35153 */ |
367 | .quad 0x3FF5CE31C83539DF /* HI((2^1*(1+8/32+1/64))^(1/3)) = 1.36284 */ |
368 | .quad 0x3FF5FBC3F20966A4 /* HI((2^1*(1+9/32+1/64))^(1/3)) = 1.373966 */ |
369 | .quad 0x3FF6289C2C8F1B70 /* HI((2^1*(1+10/32+1/64))^(1/3)) = 1.384915 */ |
370 | .quad 0x3FF654C1B4316DCF /* HI((2^1*(1+11/32+1/64))^(1/3)) = 1.395693 */ |
371 | .quad 0x3FF6803B54A34E44 /* HI((2^1*(1+12/32+1/64))^(1/3)) = 1.406307 */ |
372 | .quad 0x3FF6AB0F72182659 /* HI((2^1*(1+13/32+1/64))^(1/3)) = 1.416763 */ |
373 | .quad 0x3FF6D544118C08BC /* HI((2^1*(1+14/32+1/64))^(1/3)) = 1.427067 */ |
374 | .quad 0x3FF6FEDEE0388D4A /* HI((2^1*(1+15/32+1/64))^(1/3)) = 1.437224 */ |
375 | .quad 0x3FF727E53A4F645E /* HI((2^1*(1+16/32+1/64))^(1/3)) = 1.44724 */ |
376 | .quad 0x3FF7505C31104114 /* HI((2^1*(1+17/32+1/64))^(1/3)) = 1.457119 */ |
377 | .quad 0x3FF77848904CD549 /* HI((2^1*(1+18/32+1/64))^(1/3)) = 1.466866 */ |
378 | .quad 0x3FF79FAEE36B2534 /* HI((2^1*(1+19/32+1/64))^(1/3)) = 1.476485 */ |
379 | .quad 0x3FF7C69379F4605B /* HI((2^1*(1+20/32+1/64))^(1/3)) = 1.48598 */ |
380 | .quad 0x3FF7ECFA6BBCA391 /* HI((2^1*(1+21/32+1/64))^(1/3)) = 1.495356 */ |
381 | .quad 0x3FF812E79CAE7EB9 /* HI((2^1*(1+22/32+1/64))^(1/3)) = 1.504615 */ |
382 | .quad 0x3FF8385EC043C71D /* HI((2^1*(1+23/32+1/64))^(1/3)) = 1.513762 */ |
383 | .quad 0x3FF85D635CB41B9D /* HI((2^1*(1+24/32+1/64))^(1/3)) = 1.5228 */ |
384 | .quad 0x3FF881F8CDE083DB /* HI((2^1*(1+25/32+1/64))^(1/3)) = 1.531731 */ |
385 | .quad 0x3FF8A6224802B8A8 /* HI((2^1*(1+26/32+1/64))^(1/3)) = 1.54056 */ |
386 | .quad 0x3FF8C9E2DA25E5E4 /* HI((2^1*(1+27/32+1/64))^(1/3)) = 1.549289 */ |
387 | .quad 0x3FF8ED3D706E1010 /* HI((2^1*(1+28/32+1/64))^(1/3)) = 1.55792 */ |
388 | .quad 0x3FF91034D632B6DF /* HI((2^1*(1+29/32+1/64))^(1/3)) = 1.566457 */ |
389 | .quad 0x3FF932CBB7F0CF2D /* HI((2^1*(1+30/32+1/64))^(1/3)) = 1.574901 */ |
390 | .quad 0x3FF95504A517BF3A /* HI((2^1*(1+31/32+1/64))^(1/3)) = 1.583256 */ |
391 | .quad 0x3FF987AF34F8BB19 /* HI((2^2*(1+0/32+1/64))^(1/3)) = 1.595626 */ |
392 | .quad 0x3FF9CA0A8337B317 /* HI((2^2*(1+1/32+1/64))^(1/3)) = 1.611826 */ |
393 | .quad 0x3FFA0B1709CC13D5 /* HI((2^2*(1+2/32+1/64))^(1/3)) = 1.627708 */ |
394 | .quad 0x3FFA4AE4CE6419ED /* HI((2^2*(1+3/32+1/64))^(1/3)) = 1.643285 */ |
395 | .quad 0x3FFA8982A5567031 /* HI((2^2*(1+4/32+1/64))^(1/3)) = 1.658572 */ |
396 | .quad 0x3FFAC6FE500AB570 /* HI((2^2*(1+5/32+1/64))^(1/3)) = 1.673582 */ |
397 | .quad 0x3FFB036497A15A17 /* HI((2^2*(1+6/32+1/64))^(1/3)) = 1.688328 */ |
398 | .quad 0x3FFB3EC164671755 /* HI((2^2*(1+7/32+1/64))^(1/3)) = 1.702821 */ |
399 | .quad 0x3FFB791FD288C46F /* HI((2^2*(1+8/32+1/64))^(1/3)) = 1.717071 */ |
400 | .quad 0x3FFBB28A44693BE4 /* HI((2^2*(1+9/32+1/64))^(1/3)) = 1.731089 */ |
401 | .quad 0x3FFBEB0A72EB6E31 /* HI((2^2*(1+10/32+1/64))^(1/3)) = 1.744883 */ |
402 | .quad 0x3FFC22A97BF5F697 /* HI((2^2*(1+11/32+1/64))^(1/3)) = 1.758462 */ |
403 | .quad 0x3FFC596FEF6AF983 /* HI((2^2*(1+12/32+1/64))^(1/3)) = 1.771835 */ |
404 | .quad 0x3FFC8F65DAC655A3 /* HI((2^2*(1+13/32+1/64))^(1/3)) = 1.785009 */ |
405 | .quad 0x3FFCC492D38CE8D9 /* HI((2^2*(1+14/32+1/64))^(1/3)) = 1.797992 */ |
406 | .quad 0x3FFCF8FE00B19367 /* HI((2^2*(1+15/32+1/64))^(1/3)) = 1.810789 */ |
407 | .quad 0x3FFD2CAE230F8709 /* HI((2^2*(1+16/32+1/64))^(1/3)) = 1.823408 */ |
408 | .quad 0x3FFD5FA99D15208F /* HI((2^2*(1+17/32+1/64))^(1/3)) = 1.835855 */ |
409 | .quad 0x3FFD91F679B6E505 /* HI((2^2*(1+18/32+1/64))^(1/3)) = 1.848135 */ |
410 | .quad 0x3FFDC39A72BF2302 /* HI((2^2*(1+19/32+1/64))^(1/3)) = 1.860255 */ |
411 | .quad 0x3FFDF49AF68C1570 /* HI((2^2*(1+20/32+1/64))^(1/3)) = 1.872218 */ |
412 | .quad 0x3FFE24FD2D4C23B8 /* HI((2^2*(1+21/32+1/64))^(1/3)) = 1.884031 */ |
413 | .quad 0x3FFE54C5FDC5EC73 /* HI((2^2*(1+22/32+1/64))^(1/3)) = 1.895697 */ |
414 | .quad 0x3FFE83FA11B81DBB /* HI((2^2*(1+23/32+1/64))^(1/3)) = 1.907221 */ |
415 | .quad 0x3FFEB29DD9DBAF25 /* HI((2^2*(1+24/32+1/64))^(1/3)) = 1.918608 */ |
416 | .quad 0x3FFEE0B59191D374 /* HI((2^2*(1+25/32+1/64))^(1/3)) = 1.929861 */ |
417 | .quad 0x3FFF0E454245E4BF /* HI((2^2*(1+26/32+1/64))^(1/3)) = 1.940984 */ |
418 | .quad 0x3FFF3B50C68A9DD3 /* HI((2^2*(1+27/32+1/64))^(1/3)) = 1.951981 */ |
419 | .quad 0x3FFF67DBCCF922DC /* HI((2^2*(1+28/32+1/64))^(1/3)) = 1.962856 */ |
420 | .quad 0x3FFF93E9DAD7A4A6 /* HI((2^2*(1+29/32+1/64))^(1/3)) = 1.973612 */ |
421 | .quad 0x3FFFBF7E4E8CC9CB /* HI((2^2*(1+30/32+1/64))^(1/3)) = 1.984251 */ |
422 | .quad 0x3FFFEA9C61E47CD3 /* HI((2^2*(1+31/32+1/64))^(1/3)) = 1.994778 */ |
423 | .align 16 |
424 | .quad 0x3F93750AD588F115, 0x3F93750AD588F115 /* _dA7 */ |
425 | .align 16 |
426 | .quad 0xBF98090D6221A247, 0xBF98090D6221A247 /* _dA6 */ |
427 | .align 16 |
428 | .quad 0x3F9EE7113506AC12, 0x3F9EE7113506AC12 /* _dA5 */ |
429 | .align 16 |
430 | .quad 0xBFA511E8D2B3183B, 0xBFA511E8D2B3183B /* _dA4 */ |
431 | .align 16 |
432 | .quad 0x3FAF9ADD3C0CA458, 0x3FAF9ADD3C0CA458 /* _dA3 */ |
433 | .align 16 |
434 | .quad 0xBFBC71C71C71C71C, 0xBFBC71C71C71C71C /* _dA2 */ |
435 | .align 16 |
436 | .quad 0x3FD5555555555555, 0x3FD5555555555555 /* _dA1 */ |
437 | .align 16 |
438 | .quad 0xBFF0400000000000, 0xBFF0400000000000 /* _dNeg65Div64 */ |
439 | .align 16 |
440 | .quad 0x000FC00000000000, 0x000FC00000000000 /* _dSgnf6Mask */ |
441 | .align 16 |
442 | .quad 0xBFF0000000000000, 0xBFF0000000000000 /* _dNegOne */ |
443 | .align 16 |
444 | .quad 0x000FFFFFFFFFFFFF, 0x000FFFFFFFFFFFFF /* _dMantissaMask */ |
445 | .align 16 |
446 | .quad 0xFFF0000000000000, 0xFFF0000000000000 /* _lExpHiMask */ |
447 | .align 16 |
448 | .quad 0x00000000000007FF, 0x00000000000007FF /* _lExpLoMask */ |
449 | .align 16 |
450 | .quad 0x0000000000001556, 0x0000000000001556 /* _l1556 */ |
451 | .align 16 |
452 | .long 0x000F8000, 0x000F8000, 0x000F8000, 0x000F8000 /* _iRcpIndexMask */ |
453 | .align 16 |
454 | .long 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF /* _iAbsMask */ |
455 | .align 16 |
456 | .long 0x00000800, 0x00000800, 0x00000800, 0x00000800 /* _iSignMask */ |
457 | .align 16 |
458 | .long 0x000002AA, 0x000002AA, 0x000002AA, 0x000002AA /* _iBias */ |
459 | .align 16 |
460 | .long 0x80100000, 0x80100000, 0x80100000, 0x80100000 /* _iSub */ |
461 | .align 16 |
462 | .long 0xffdfffff, 0xffdfffff, 0xffdfffff, 0xffdfffff /* _iCmp */ |
463 | .align 16 |
464 | .type __svml_dcbrt_data_internal, @object |
465 | .size __svml_dcbrt_data_internal, .-__svml_dcbrt_data_internal |
466 | |