1 | /* Function exp10 vectorized with AVX2. |
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 | * exp10(x) = 2^x/log10(2) = 2^n * (1 + T[j]) * (1 + P(y)) |
23 | * where |
24 | * x = m*log10(2)/K + y, y in [-log10(2)/K..log10(2)/K] |
25 | * m = n*K + j, m, n,j - signed integer, j in [-K/2..K/2] |
26 | * |
27 | * values of 2^j/K are tabulated |
28 | * |
29 | * P(y) is a minimax polynomial approximation of exp10(x)-1 |
30 | * on small interval [-log10(2)/K..log10(2)/K] |
31 | * |
32 | * Special cases: |
33 | * |
34 | * exp10(NaN) = NaN |
35 | * exp10(+INF) = +INF |
36 | * exp10(-INF) = 0 |
37 | * exp10(x) = 1 for subnormals |
38 | * For IEEE double |
39 | * if x > 3.39782712893383973096e+02 then exp10(x) overflow |
40 | * if x < -3.45133219101941108420e+02 then exp10(x) underflow |
41 | * |
42 | */ |
43 | |
44 | /* Offsets for data table __svml_dexp10_data_internal |
45 | */ |
46 | #define _dbT 0 |
47 | #define _dbLg2_10 1024 |
48 | #define _dbShifter 1056 |
49 | #define _dbInvLg2_10hi 1088 |
50 | #define _dbInvLg2_10lo 1120 |
51 | #define _dPC1 1152 |
52 | #define _dPC2 1184 |
53 | #define _dPC3 1216 |
54 | #define _dPC4 1248 |
55 | #define _dPC5 1280 |
56 | #define _lExpMask 1312 |
57 | #define _iIndexMask 1344 |
58 | #define _iAbsMask 1376 |
59 | #define _iDomainRange 1408 |
60 | |
61 | #include <sysdep.h> |
62 | |
63 | .section .text.avx2, "ax" , @progbits |
64 | ENTRY(_ZGVdN4v_exp10_avx2) |
65 | pushq %rbp |
66 | cfi_def_cfa_offset(16) |
67 | movq %rsp, %rbp |
68 | cfi_def_cfa(6, 16) |
69 | cfi_offset(6, -16) |
70 | andq $-32, %rsp |
71 | subq $96, %rsp |
72 | lea __svml_dexp10_data_internal(%rip), %r8 |
73 | vmovapd %ymm0, %ymm2 |
74 | vmovupd _dbShifter+__svml_dexp10_data_internal(%rip), %ymm3 |
75 | |
76 | /* Load argument */ |
77 | vmovupd _dbLg2_10+__svml_dexp10_data_internal(%rip), %ymm0 |
78 | vfmadd213pd %ymm3, %ymm2, %ymm0 |
79 | vsubpd %ymm3, %ymm0, %ymm1 |
80 | |
81 | /* R */ |
82 | vmovupd _dbInvLg2_10hi+__svml_dexp10_data_internal(%rip), %ymm3 |
83 | vfnmadd213pd %ymm2, %ymm1, %ymm3 |
84 | |
85 | /* Check for overflow\underflow */ |
86 | vextractf128 $1, %ymm2, %xmm4 |
87 | vfnmadd132pd _dbInvLg2_10lo+__svml_dexp10_data_internal(%rip), %ymm3, %ymm1 |
88 | vshufps $221, %xmm4, %xmm2, %xmm5 |
89 | vandps _iAbsMask+__svml_dexp10_data_internal(%rip), %xmm5, %xmm6 |
90 | vpcmpgtd _iDomainRange+__svml_dexp10_data_internal(%rip), %xmm6, %xmm7 |
91 | |
92 | /* |
93 | * Polynomial |
94 | * poly(dN) = a1*dR+...+a5*dR^5 |
95 | */ |
96 | vmovupd _dPC5+__svml_dexp10_data_internal(%rip), %ymm4 |
97 | vmovmskps %xmm7, %eax |
98 | vfmadd213pd _dPC4+__svml_dexp10_data_internal(%rip), %ymm1, %ymm4 |
99 | vfmadd213pd _dPC3+__svml_dexp10_data_internal(%rip), %ymm1, %ymm4 |
100 | vfmadd213pd _dPC2+__svml_dexp10_data_internal(%rip), %ymm1, %ymm4 |
101 | |
102 | /* a1+...+a5*dR^4 ! */ |
103 | vfmadd213pd _dPC1+__svml_dexp10_data_internal(%rip), %ymm1, %ymm4 |
104 | |
105 | /* a1*dR+...+a5*dR^5 */ |
106 | vmulpd %ymm4, %ymm1, %ymm1 |
107 | |
108 | /* Index and lookup */ |
109 | vextractf128 $1, %ymm0, %xmm8 |
110 | vshufps $136, %xmm8, %xmm0, %xmm9 |
111 | vandps _iIndexMask+__svml_dexp10_data_internal(%rip), %xmm9, %xmm10 |
112 | |
113 | /* iIndex*=sizeof(D); */ |
114 | vpslld $3, %xmm10, %xmm13 |
115 | vmovd %xmm13, %edx |
116 | |
117 | /* 2^N */ |
118 | vpsllq $45, %ymm0, %ymm0 |
119 | vpextrd $2, %xmm13, %esi |
120 | movslq %edx, %rdx |
121 | vpextrd $1, %xmm13, %ecx |
122 | movslq %esi, %rsi |
123 | vpextrd $3, %xmm13, %edi |
124 | movslq %ecx, %rcx |
125 | movslq %edi, %rdi |
126 | vmovsd (%r8, %rdx), %xmm11 |
127 | vmovsd (%r8, %rsi), %xmm14 |
128 | vmovhpd (%r8, %rcx), %xmm11, %xmm12 |
129 | vmovhpd (%r8, %rdi), %xmm14, %xmm15 |
130 | |
131 | /* lM==EXP(2^N) */ |
132 | vpand _lExpMask+__svml_dexp10_data_internal(%rip), %ymm0, %ymm6 |
133 | vinsertf128 $1, %xmm15, %ymm12, %ymm5 |
134 | |
135 | /* Tj*poly */ |
136 | vfmadd213pd %ymm5, %ymm5, %ymm1 |
137 | |
138 | /* quick 2^N */ |
139 | vpaddq %ymm6, %ymm1, %ymm0 |
140 | |
141 | /* Finish */ |
142 | testl %eax, %eax |
143 | |
144 | /* Go to special inputs processing branch */ |
145 | jne L(SPECIAL_VALUES_BRANCH) |
146 | # LOE rbx r12 r13 r14 r15 eax ymm0 ymm2 |
147 | |
148 | /* Restore registers |
149 | * and exit the function |
150 | */ |
151 | |
152 | L(EXIT): |
153 | movq %rbp, %rsp |
154 | popq %rbp |
155 | cfi_def_cfa(7, 8) |
156 | cfi_restore(6) |
157 | ret |
158 | cfi_def_cfa(6, 16) |
159 | cfi_offset(6, -16) |
160 | |
161 | /* Branch to process |
162 | * special inputs |
163 | */ |
164 | |
165 | L(SPECIAL_VALUES_BRANCH): |
166 | vmovupd %ymm2, 32(%rsp) |
167 | vmovupd %ymm0, 64(%rsp) |
168 | # LOE rbx r12 r13 r14 r15 eax ymm0 |
169 | |
170 | xorl %edx, %edx |
171 | # LOE rbx r12 r13 r14 r15 eax edx |
172 | |
173 | vzeroupper |
174 | movq %r12, 16(%rsp) |
175 | /* 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) */ |
176 | .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xb0, 0xff, 0xff, 0xff, 0x22 |
177 | movl %edx, %r12d |
178 | movq %r13, 8(%rsp) |
179 | /* 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) */ |
180 | .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa8, 0xff, 0xff, 0xff, 0x22 |
181 | movl %eax, %r13d |
182 | movq %r14, (%rsp) |
183 | /* 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) */ |
184 | .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 0xff, 0xff, 0xff, 0x22 |
185 | # LOE rbx r15 r12d r13d |
186 | |
187 | /* Range mask |
188 | * bits check |
189 | */ |
190 | |
191 | L(RANGEMASK_CHECK): |
192 | btl %r12d, %r13d |
193 | |
194 | /* Call scalar math function */ |
195 | jc L(SCALAR_MATH_CALL) |
196 | # LOE rbx r15 r12d r13d |
197 | |
198 | /* Special inputs |
199 | * processing loop |
200 | */ |
201 | |
202 | L(SPECIAL_VALUES_LOOP): |
203 | incl %r12d |
204 | cmpl $4, %r12d |
205 | |
206 | /* Check bits in range mask */ |
207 | jl L(RANGEMASK_CHECK) |
208 | # LOE rbx r15 r12d r13d |
209 | |
210 | movq 16(%rsp), %r12 |
211 | cfi_restore(12) |
212 | movq 8(%rsp), %r13 |
213 | cfi_restore(13) |
214 | movq (%rsp), %r14 |
215 | cfi_restore(14) |
216 | vmovupd 64(%rsp), %ymm0 |
217 | |
218 | /* Go to exit */ |
219 | jmp L(EXIT) |
220 | /* 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) */ |
221 | .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xb0, 0xff, 0xff, 0xff, 0x22 |
222 | /* 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) */ |
223 | .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa8, 0xff, 0xff, 0xff, 0x22 |
224 | /* 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) */ |
225 | .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 0xff, 0xff, 0xff, 0x22 |
226 | # LOE rbx r12 r13 r14 r15 ymm0 |
227 | |
228 | /* Scalar math function call |
229 | * to process special input |
230 | */ |
231 | |
232 | L(SCALAR_MATH_CALL): |
233 | movl %r12d, %r14d |
234 | vmovsd 32(%rsp, %r14, 8), %xmm0 |
235 | call exp10@PLT |
236 | # LOE rbx r14 r15 r12d r13d xmm0 |
237 | |
238 | vmovsd %xmm0, 64(%rsp, %r14, 8) |
239 | |
240 | /* Process special inputs in loop */ |
241 | jmp L(SPECIAL_VALUES_LOOP) |
242 | # LOE rbx r15 r12d r13d |
243 | END(_ZGVdN4v_exp10_avx2) |
244 | |
245 | .section .rodata, "a" |
246 | .align 32 |
247 | |
248 | #ifdef __svml_dexp10_data_internal_typedef |
249 | typedef unsigned int VUINT32; |
250 | typedef struct { |
251 | __declspec(align(32)) VUINT32 _dbT[(1<<7)][2]; |
252 | __declspec(align(32)) VUINT32 _dbLg2_10[4][2]; |
253 | __declspec(align(32)) VUINT32 _dbShifter[4][2]; |
254 | __declspec(align(32)) VUINT32 _dbInvLg2_10hi[4][2]; |
255 | __declspec(align(32)) VUINT32 _dbInvLg2_10lo[4][2]; |
256 | __declspec(align(32)) VUINT32 _dPC1[4][2]; |
257 | __declspec(align(32)) VUINT32 _dPC2[4][2]; |
258 | __declspec(align(32)) VUINT32 _dPC3[4][2]; |
259 | __declspec(align(32)) VUINT32 _dPC4[4][2]; |
260 | __declspec(align(32)) VUINT32 _dPC5[4][2]; |
261 | __declspec(align(32)) VUINT32 _lExpMask[4][2]; |
262 | __declspec(align(32)) VUINT32 _iIndexMask[8][1]; |
263 | __declspec(align(32)) VUINT32 _iAbsMask[8][1]; |
264 | __declspec(align(32)) VUINT32 _iDomainRange[8][1]; |
265 | } __svml_dexp10_data_internal; |
266 | #endif |
267 | __svml_dexp10_data_internal: |
268 | /* _dbT */ |
269 | .quad 0x3ff0000000000000 /* 2^( 0 /128) */ |
270 | .quad 0x3ff0163da9fb3335 /* 2^( 1 /128) */ |
271 | .quad 0x3ff02c9a3e778061 /* 2^( 2 /128) */ |
272 | .quad 0x3ff04315e86e7f85 /* 2^( 3 /128) */ |
273 | .quad 0x3ff059b0d3158574 /* 2^( 4 /128) */ |
274 | .quad 0x3ff0706b29ddf6de /* 2^( 5 /128) */ |
275 | .quad 0x3ff0874518759bc8 /* 2^( 6 /128) */ |
276 | .quad 0x3ff09e3ecac6f383 /* 2^( 7 /128) */ |
277 | .quad 0x3ff0b5586cf9890f /* 2^( 8 /128) */ |
278 | .quad 0x3ff0cc922b7247f7 /* 2^( 9 /128) */ |
279 | .quad 0x3ff0e3ec32d3d1a2 /* 2^( 10 /128) */ |
280 | .quad 0x3ff0fb66affed31b /* 2^( 11 /128) */ |
281 | .quad 0x3ff11301d0125b51 /* 2^( 12 /128) */ |
282 | .quad 0x3ff12abdc06c31cc /* 2^( 13 /128) */ |
283 | .quad 0x3ff1429aaea92de0 /* 2^( 14 /128) */ |
284 | .quad 0x3ff15a98c8a58e51 /* 2^( 15 /128) */ |
285 | .quad 0x3ff172b83c7d517b /* 2^( 16 /128) */ |
286 | .quad 0x3ff18af9388c8dea /* 2^( 17 /128) */ |
287 | .quad 0x3ff1a35beb6fcb75 /* 2^( 18 /128) */ |
288 | .quad 0x3ff1bbe084045cd4 /* 2^( 19 /128) */ |
289 | .quad 0x3ff1d4873168b9aa /* 2^( 20 /128) */ |
290 | .quad 0x3ff1ed5022fcd91d /* 2^( 21 /128) */ |
291 | .quad 0x3ff2063b88628cd6 /* 2^( 22 /128) */ |
292 | .quad 0x3ff21f49917ddc96 /* 2^( 23 /128) */ |
293 | .quad 0x3ff2387a6e756238 /* 2^( 24 /128) */ |
294 | .quad 0x3ff251ce4fb2a63f /* 2^( 25 /128) */ |
295 | .quad 0x3ff26b4565e27cdd /* 2^( 26 /128) */ |
296 | .quad 0x3ff284dfe1f56381 /* 2^( 27 /128) */ |
297 | .quad 0x3ff29e9df51fdee1 /* 2^( 28 /128) */ |
298 | .quad 0x3ff2b87fd0dad990 /* 2^( 29 /128) */ |
299 | .quad 0x3ff2d285a6e4030b /* 2^( 30 /128) */ |
300 | .quad 0x3ff2ecafa93e2f56 /* 2^( 31 /128) */ |
301 | .quad 0x3ff306fe0a31b715 /* 2^( 32 /128) */ |
302 | .quad 0x3ff32170fc4cd831 /* 2^( 33 /128) */ |
303 | .quad 0x3ff33c08b26416ff /* 2^( 34 /128) */ |
304 | .quad 0x3ff356c55f929ff1 /* 2^( 35 /128) */ |
305 | .quad 0x3ff371a7373aa9cb /* 2^( 36 /128) */ |
306 | .quad 0x3ff38cae6d05d866 /* 2^( 37 /128) */ |
307 | .quad 0x3ff3a7db34e59ff7 /* 2^( 38 /128) */ |
308 | .quad 0x3ff3c32dc313a8e5 /* 2^( 39 /128) */ |
309 | .quad 0x3ff3dea64c123422 /* 2^( 40 /128) */ |
310 | .quad 0x3ff3fa4504ac801c /* 2^( 41 /128) */ |
311 | .quad 0x3ff4160a21f72e2a /* 2^( 42 /128) */ |
312 | .quad 0x3ff431f5d950a897 /* 2^( 43 /128) */ |
313 | .quad 0x3ff44e086061892d /* 2^( 44 /128) */ |
314 | .quad 0x3ff46a41ed1d0057 /* 2^( 45 /128) */ |
315 | .quad 0x3ff486a2b5c13cd0 /* 2^( 46 /128) */ |
316 | .quad 0x3ff4a32af0d7d3de /* 2^( 47 /128) */ |
317 | .quad 0x3ff4bfdad5362a27 /* 2^( 48 /128) */ |
318 | .quad 0x3ff4dcb299fddd0d /* 2^( 49 /128) */ |
319 | .quad 0x3ff4f9b2769d2ca7 /* 2^( 50 /128) */ |
320 | .quad 0x3ff516daa2cf6642 /* 2^( 51 /128) */ |
321 | .quad 0x3ff5342b569d4f82 /* 2^( 52 /128) */ |
322 | .quad 0x3ff551a4ca5d920f /* 2^( 53 /128) */ |
323 | .quad 0x3ff56f4736b527da /* 2^( 54 /128) */ |
324 | .quad 0x3ff58d12d497c7fd /* 2^( 55 /128) */ |
325 | .quad 0x3ff5ab07dd485429 /* 2^( 56 /128) */ |
326 | .quad 0x3ff5c9268a5946b7 /* 2^( 57 /128) */ |
327 | .quad 0x3ff5e76f15ad2148 /* 2^( 58 /128) */ |
328 | .quad 0x3ff605e1b976dc09 /* 2^( 59 /128) */ |
329 | .quad 0x3ff6247eb03a5585 /* 2^( 60 /128) */ |
330 | .quad 0x3ff6434634ccc320 /* 2^( 61 /128) */ |
331 | .quad 0x3ff6623882552225 /* 2^( 62 /128) */ |
332 | .quad 0x3ff68155d44ca973 /* 2^( 63 /128) */ |
333 | .quad 0x3ff6a09e667f3bcd /* 2^( 64 /128) */ |
334 | .quad 0x3ff6c012750bdabf /* 2^( 65 /128) */ |
335 | .quad 0x3ff6dfb23c651a2f /* 2^( 66 /128) */ |
336 | .quad 0x3ff6ff7df9519484 /* 2^( 67 /128) */ |
337 | .quad 0x3ff71f75e8ec5f74 /* 2^( 68 /128) */ |
338 | .quad 0x3ff73f9a48a58174 /* 2^( 69 /128) */ |
339 | .quad 0x3ff75feb564267c9 /* 2^( 70 /128) */ |
340 | .quad 0x3ff780694fde5d3f /* 2^( 71 /128) */ |
341 | .quad 0x3ff7a11473eb0187 /* 2^( 72 /128) */ |
342 | .quad 0x3ff7c1ed0130c132 /* 2^( 73 /128) */ |
343 | .quad 0x3ff7e2f336cf4e62 /* 2^( 74 /128) */ |
344 | .quad 0x3ff80427543e1a12 /* 2^( 75 /128) */ |
345 | .quad 0x3ff82589994cce13 /* 2^( 76 /128) */ |
346 | .quad 0x3ff8471a4623c7ad /* 2^( 77 /128) */ |
347 | .quad 0x3ff868d99b4492ed /* 2^( 78 /128) */ |
348 | .quad 0x3ff88ac7d98a6699 /* 2^( 79 /128) */ |
349 | .quad 0x3ff8ace5422aa0db /* 2^( 80 /128) */ |
350 | .quad 0x3ff8cf3216b5448c /* 2^( 81 /128) */ |
351 | .quad 0x3ff8f1ae99157736 /* 2^( 82 /128) */ |
352 | .quad 0x3ff9145b0b91ffc6 /* 2^( 83 /128) */ |
353 | .quad 0x3ff93737b0cdc5e5 /* 2^( 84 /128) */ |
354 | .quad 0x3ff95a44cbc8520f /* 2^( 85 /128) */ |
355 | .quad 0x3ff97d829fde4e50 /* 2^( 86 /128) */ |
356 | .quad 0x3ff9a0f170ca07ba /* 2^( 87 /128) */ |
357 | .quad 0x3ff9c49182a3f090 /* 2^( 88 /128) */ |
358 | .quad 0x3ff9e86319e32323 /* 2^( 89 /128) */ |
359 | .quad 0x3ffa0c667b5de565 /* 2^( 90 /128) */ |
360 | .quad 0x3ffa309bec4a2d33 /* 2^( 91 /128) */ |
361 | .quad 0x3ffa5503b23e255d /* 2^( 92 /128) */ |
362 | .quad 0x3ffa799e1330b358 /* 2^( 93 /128) */ |
363 | .quad 0x3ffa9e6b5579fdbf /* 2^( 94 /128) */ |
364 | .quad 0x3ffac36bbfd3f37a /* 2^( 95 /128) */ |
365 | .quad 0x3ffae89f995ad3ad /* 2^( 96 /128) */ |
366 | .quad 0x3ffb0e07298db666 /* 2^( 97 /128) */ |
367 | .quad 0x3ffb33a2b84f15fb /* 2^( 98 /128) */ |
368 | .quad 0x3ffb59728de5593a /* 2^( 99 /128) */ |
369 | .quad 0x3ffb7f76f2fb5e47 /* 2^( 100 /128) */ |
370 | .quad 0x3ffba5b030a1064a /* 2^( 101 /128) */ |
371 | .quad 0x3ffbcc1e904bc1d2 /* 2^( 102 /128) */ |
372 | .quad 0x3ffbf2c25bd71e09 /* 2^( 103 /128) */ |
373 | .quad 0x3ffc199bdd85529c /* 2^( 104 /128) */ |
374 | .quad 0x3ffc40ab5fffd07a /* 2^( 105 /128) */ |
375 | .quad 0x3ffc67f12e57d14b /* 2^( 106 /128) */ |
376 | .quad 0x3ffc8f6d9406e7b5 /* 2^( 107 /128) */ |
377 | .quad 0x3ffcb720dcef9069 /* 2^( 108 /128) */ |
378 | .quad 0x3ffcdf0b555dc3fa /* 2^( 109 /128) */ |
379 | .quad 0x3ffd072d4a07897c /* 2^( 110 /128) */ |
380 | .quad 0x3ffd2f87080d89f2 /* 2^( 111 /128) */ |
381 | .quad 0x3ffd5818dcfba487 /* 2^( 112 /128) */ |
382 | .quad 0x3ffd80e316c98398 /* 2^( 113 /128) */ |
383 | .quad 0x3ffda9e603db3285 /* 2^( 114 /128) */ |
384 | .quad 0x3ffdd321f301b460 /* 2^( 115 /128) */ |
385 | .quad 0x3ffdfc97337b9b5f /* 2^( 116 /128) */ |
386 | .quad 0x3ffe264614f5a129 /* 2^( 117 /128) */ |
387 | .quad 0x3ffe502ee78b3ff6 /* 2^( 118 /128) */ |
388 | .quad 0x3ffe7a51fbc74c83 /* 2^( 119 /128) */ |
389 | .quad 0x3ffea4afa2a490da /* 2^( 120 /128) */ |
390 | .quad 0x3ffecf482d8e67f1 /* 2^( 121 /128) */ |
391 | .quad 0x3ffefa1bee615a27 /* 2^( 122 /128) */ |
392 | .quad 0x3fff252b376bba97 /* 2^( 123 /128) */ |
393 | .quad 0x3fff50765b6e4540 /* 2^( 124 /128) */ |
394 | .quad 0x3fff7bfdad9cbe14 /* 2^( 125 /128) */ |
395 | .quad 0x3fffa7c1819e90d8 /* 2^( 126 /128) */ |
396 | .quad 0x3fffd3c22b8f71f1 /* 2^( 127 /128) */ |
397 | .align 32 |
398 | .quad 0x407a934f0979a371, 0x407a934f0979a371, 0x407a934f0979a371, 0x407a934f0979a371 /* _dbLg2_10*2^K */ |
399 | .align 32 |
400 | .quad 0x4338800000000000, 0x4338800000000000, 0x4338800000000000, 0x4338800000000000 /* _dbShifter */ |
401 | .align 32 |
402 | .quad 0x3f63441350a00000, 0x3f63441350a00000, 0x3f63441350a00000, 0x3f63441350a00000 /* _dbInvLg2_10hi/2^K 53-11-K bits */ |
403 | .align 32 |
404 | .quad 0xbd10c0219dc1da99, 0xbd10c0219dc1da99, 0xbd10c0219dc1da99, 0xbd10c0219dc1da99 /* _dbInvLg2_10lo/2^K */ |
405 | //PC0 = 1.0 |
406 | .align 32 |
407 | .quad 0x40026bb1bbb55516, 0x40026bb1bbb55516, 0x40026bb1bbb55516, 0x40026bb1bbb55516 /* _dPC1 */ |
408 | .align 32 |
409 | .quad 0x40053524c73ce8e3, 0x40053524c73ce8e3, 0x40053524c73ce8e3, 0x40053524c73ce8e3 /* _dPC2 */ |
410 | .align 32 |
411 | .quad 0x4000470591ccea8b, 0x4000470591ccea8b, 0x4000470591ccea8b, 0x4000470591ccea8b /* _dPC3 */ |
412 | .align 32 |
413 | .quad 0x3ff2bd767584db59, 0x3ff2bd767584db59, 0x3ff2bd767584db59, 0x3ff2bd767584db59 /* _dPC4 */ |
414 | .align 32 |
415 | .quad 0x3fe144c03efafb54, 0x3fe144c03efafb54, 0x3fe144c03efafb54, 0x3fe144c03efafb54 /* _dPC5 */ |
416 | .align 32 |
417 | .quad 0xfff0000000000000, 0xfff0000000000000, 0xfff0000000000000, 0xfff0000000000000 /* _lExpMask */ |
418 | .align 32 |
419 | .long 0x0000007f, 0x0000007f, 0x0000007f, 0x0000007f, 0x0000007f, 0x0000007f, 0x0000007f, 0x0000007f /* _iIndexMask =(2^K-1) */ |
420 | //common |
421 | .align 32 |
422 | .long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff /* _iAbsMask */ |
423 | .align 32 |
424 | .long 0x40733a70, 0x40733a70, 0x40733a70, 0x40733a70, 0x40733a70, 0x40733a70, 0x40733a70, 0x40733a70 /* _iDomainRange */ |
425 | .align 32 |
426 | .type __svml_dexp10_data_internal, @object |
427 | .size __svml_dexp10_data_internal, .-__svml_dexp10_data_internal |
428 | |