| blob | 20a35c02dd612c171d05d00811d38b17e5a14b0d |
1 .file "exp10l.s"
4 // Copyright (c) 2000 - 2004, Intel Corporation
5 // All rights reserved.
6 //
7 //
8 // Redistribution and use in source and binary forms, with or without
9 // modification, are permitted provided that the following conditions are
10 // met:
11 //
12 // * Redistributions of source code must retain the above copyright
13 // notice, this list of conditions and the following disclaimer.
14 //
15 // * Redistributions in binary form must reproduce the above copyright
16 // notice, this list of conditions and the following disclaimer in the
17 // documentation and/or other materials provided with the distribution.
18 //
19 // * The name of Intel Corporation may not be used to endorse or promote
20 // products derived from this software without specific prior written
21 // permission.
23 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
24 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
25 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
26 // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
27 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
28 // EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
29 // PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
30 // PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
31 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
32 // NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
33 // SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
34 //
35 // Intel Corporation is the author of this code, and requests that all
36 // problem reports or change requests be submitted to it directly at
37 // http://www.intel.com/software/products/opensource/libraries/num.htm.
38 //
39 // History
40 //==============================================================
41 // 08/25/00 Initial version
42 // 05/20/02 Cleaned up namespace and sf0 syntax
43 // 02/06/03 Reordered header: .section, .global, .proc, .align
44 // 05/08/03 Reformatted assembly source; corrected overflow result for round to
45 // -inf and round to zero; exact results now don't set inexact flag
46 // 12/16/04 Call error handling on underflow.
47 //
48 // API
49 //==============================================================
50 // long double exp10l(long double)
51 //
52 // Overview of operation
53 //==============================================================
54 // Background
55 //
56 // Implementation
57 //
58 // Let x= (K + f + r)/log2(10), where
59 // K is an integer, f= 0.b1 b2... b8 (f>= 0),
60 // and |r|<2^{-9}
61 // T is a table that stores 2^f (256 entries) rounded to
62 // double extended precision (only mantissa is stored)
63 // D stores (2^f/T [ f ] - 1), rounded to single precision
64 //
65 // 10^x is approximated as
66 // 2^K * T [ f ] * ((1+c1*r+c2*r^2+...+c6*r^6)*(1+c1*e)+D [ f ] ),
67 // where e= log2(10)_lo*x+(log2(10)_hi*x-RN(log2(10)_hi*x))
68 //
72 // Special values
73 //==============================================================
74 // exp10(0)= 1
75 // exp10(+inf)= inf
76 // exp10(-inf)= 0
77 //
80 // Registers used
81 //==============================================================
82 // f6-f15, f32-f63
83 // r14-r30, r32-r40
84 // p6-p8, p11-p14
85 //
87 #include <shlib-compat.h>
90 FR_X = f10
91 FR_Y = f1
92 FR_RESULT = f8
94 FR_COEFF1 = f6
95 FR_COEFF2 = f7
96 FR_KF0 = f9
97 FR_LOG10 = f10
98 FR_CONST1 = f11
99 FR_XL10 = f12
100 FR_COEFF3 = f13
101 FR_COEFF4 = f14
102 FR_UF_TEST = f15
103 FR_OF_TEST = f32
104 FR_L10_LOW = f33
105 FR_COEFF5 = f34
106 FR_COEFF6 = f35
107 FR_L10 = f36
108 FR_C_L10 = f37
109 FR_XL10_H = f38
110 FR_XL10_L = f39
111 FR_KF = f40
112 FR_E = f41
113 FR_T = f42
114 FR_D = f43
115 FR_EXP_M_63 = f44
116 FR_R = f45
117 FR_E1 = f46
118 FR_COEFF2 = f47
119 FR_P34 = f48
120 FR_P56 = f49
121 FR_R2 = f50
122 FR_RE = f51
123 FR_D1 = f52
124 FR_P36 = f53
125 FR_R3E = f54
126 FR_P1 = f55
127 FR_P = f56
128 FR_T1 = f57
129 FR_XINT = f58
130 FR_XINTF = f59
131 FR_4 = f60
132 FR_28 = f61
133 FR_32 = f62
134 FR_SNORM_LIMIT = f63
137 GR_ADDR0 = r14
138 GR_D_ADDR = r15
139 GR_ADDR = r16
140 GR_B63 = r17
141 GR_KBITS = r18
142 GR_F = r19
143 GR_K = r20
144 GR_D = r21
145 GR_BM63 = r22
146 GR_T = r23
147 GR_CONST1 = r24
148 GR_EMIN = r25
149 GR_CONST2 = r26
150 GR_BM8 = r27
151 GR_SREG = r28
152 GR_4_BIAS = r29
153 GR_32_BIAS = r30
155 GR_SAVE_B0 = r33
156 GR_SAVE_PFS = r34
157 GR_SAVE_GP = r35
158 GR_SAVE_SP = r36
160 GR_Parameter_X = r37
161 GR_Parameter_Y = r38
162 GR_Parameter_RESULT= r39
163 GR_Parameter_TAG = r40
166 // Data tables
167 //==============================================================
169 RODATA
171 .align 16
173 LOCAL_OBJECT_START(poly_coeffs)
175 data8 0xd49a784bcd1b8afe, 0x00004008 // log2(10)*2^8
176 data8 0x9a209a84fbcff798, 0x0000400b // overflow threshold
177 data8 0xb17217f7d1cf79ab, 0x00003ffe // C_1
178 data8 0xf5fdeffc162c7541, 0x00003ffc // C_2
179 data8 0x3fac6b08d704a0c0 // C_3
180 data8 0x3f83b2ab6fba4e77 // C_4
181 data8 0x3f55d87fe78a6731 // C_5
182 data8 0x3f2430912f86c787 // C_6
183 data8 0x9257edfe9b5fb698, 0x00003fbf // log2(10)_low (bits 64...127)
184 data8 0x9a1bc98027a81918, 0x0000c00b // Smallest normal threshold
185 LOCAL_OBJECT_END(poly_coeffs)
188 LOCAL_OBJECT_START(T_table)
190 // 2^{0.b1 b2 b3 b4 b5 b6 b7 b8}
191 data8 0x8000000000000000, 0x8058d7d2d5e5f6b1
192 data8 0x80b1ed4fd999ab6c, 0x810b40a1d81406d4
193 data8 0x8164d1f3bc030773, 0x81bea1708dde6056
194 data8 0x8218af4373fc25ec, 0x8272fb97b2a5894c
195 data8 0x82cd8698ac2ba1d7, 0x83285071e0fc4547
196 data8 0x8383594eefb6ee37, 0x83dea15b9541b132
197 data8 0x843a28c3acde4046, 0x8495efb3303efd30
198 data8 0x84f1f656379c1a29, 0x854e3cd8f9c8c95d
199 data8 0x85aac367cc487b15, 0x86078a2f23642a9f
200 data8 0x8664915b923fba04, 0x86c1d919caef5c88
201 data8 0x871f61969e8d1010, 0x877d2afefd4e256c
202 data8 0x87db357ff698d792, 0x88398146b919f1d4
203 data8 0x88980e8092da8527, 0x88f6dd5af155ac6b
204 data8 0x8955ee03618e5fdd, 0x89b540a7902557a4
205 data8 0x8a14d575496efd9a, 0x8a74ac9a79896e47
206 data8 0x8ad4c6452c728924, 0x8b3522a38e1e1032
207 data8 0x8b95c1e3ea8bd6e7, 0x8bf6a434adde0085
208 data8 0x8c57c9c4646f4dde, 0x8cb932c1bae97a95
209 data8 0x8d1adf5b7e5ba9e6, 0x8d7ccfc09c50e2f8
210 data8 0x8ddf042022e69cd6, 0x8e417ca940e35a01
211 data8 0x8ea4398b45cd53c0, 0x8f073af5a2013520
212 data8 0x8f6a8117e6c8e5c4, 0x8fce0c21c6726481
213 data8 0x9031dc431466b1dc, 0x9095f1abc540ca6b
214 data8 0x90fa4c8beee4b12b, 0x915eed13c89689d3
215 data8 0x91c3d373ab11c336, 0x9228ffdc10a051ad
216 data8 0x928e727d9531f9ac, 0x92f42b88f673aa7c
217 data8 0x935a2b2f13e6e92c, 0x93c071a0eef94bc1
218 data8 0x9426ff0fab1c04b6, 0x948dd3ac8ddb7ed3
219 data8 0x94f4efa8fef70961, 0x955c5336887894d5
220 data8 0x95c3fe86d6cc7fef, 0x962bf1cbb8d97560
221 data8 0x96942d3720185a00, 0x96fcb0fb20ac4ba3
222 data8 0x97657d49f17ab08e, 0x97ce9255ec4357ab
223 data8 0x9837f0518db8a96f, 0x98a1976f7597e996
224 data8 0x990b87e266c189aa, 0x9975c1dd47518c77
225 data8 0x99e0459320b7fa65, 0x9a4b13371fd166ca
226 data8 0x9ab62afc94ff864a, 0x9b218d16f441d63d
227 data8 0x9b8d39b9d54e5539, 0x9bf93118f3aa4cc1
228 data8 0x9c6573682ec32c2d, 0x9cd200db8a0774cb
229 data8 0x9d3ed9a72cffb751, 0x9dabfdff6367a2aa
230 data8 0x9e196e189d472420, 0x9e872a276f0b98ff
231 data8 0x9ef5326091a111ae, 0x9f6386f8e28ba651
232 data8 0x9fd228256400dd06, 0xa041161b3d0121be
233 data8 0xa0b0510fb9714fc2, 0xa11fd9384a344cf7
234 data8 0xa18faeca8544b6e4, 0xa1ffd1fc25cea188
235 data8 0xa27043030c496819, 0xa2e102153e918f9e
236 data8 0xa3520f68e802bb93, 0xa3c36b345991b47c
237 data8 0xa43515ae09e6809e, 0xa4a70f0c95768ec5
238 data8 0xa5195786be9ef339, 0xa58bef536dbeb6ee
239 data8 0xa5fed6a9b15138ea, 0xa6720dc0be08a20c
240 data8 0xa6e594cfeee86b1e, 0xa7596c0ec55ff55b
241 data8 0xa7cd93b4e965356a, 0xa8420bfa298f70d1
242 data8 0xa8b6d5167b320e09, 0xa92bef41fa77771b
243 data8 0xa9a15ab4ea7c0ef8, 0xaa1717a7b5693979
244 data8 0xaa8d2652ec907629, 0xab0386ef48868de1
245 data8 0xab7a39b5a93ed337, 0xabf13edf162675e9
246 data8 0xac6896a4be3fe929, 0xace0413ff83e5d04
247 data8 0xad583eea42a14ac6, 0xadd08fdd43d01491
248 data8 0xae493452ca35b80e, 0xaec22c84cc5c9465
249 data8 0xaf3b78ad690a4375, 0xafb51906e75b8661
250 data8 0xb02f0dcbb6e04584, 0xb0a957366fb7a3c9
251 data8 0xb123f581d2ac2590, 0xb19ee8e8c94feb09
252 data8 0xb21a31a66618fe3b, 0xb295cff5e47db4a4
253 data8 0xb311c412a9112489, 0xb38e0e38419fae18
254 data8 0xb40aaea2654b9841, 0xb487a58cf4a9c180
255 data8 0xb504f333f9de6484, 0xb58297d3a8b9f0d2
256 data8 0xb60093a85ed5f76c, 0xb67ee6eea3b22b8f
257 data8 0xb6fd91e328d17791, 0xb77c94c2c9d725e9
258 data8 0xb7fbefca8ca41e7c, 0xb87ba337a1743834
259 data8 0xb8fbaf4762fb9ee9, 0xb97c143756844dbf
260 data8 0xb9fcd2452c0b9deb, 0xba7de9aebe5fea09
261 data8 0xbaff5ab2133e45fb, 0xbb81258d5b704b6f
262 data8 0xbc034a7ef2e9fb0d, 0xbc85c9c560e7b269
263 data8 0xbd08a39f580c36bf, 0xbd8bd84bb67ed483
264 data8 0xbe0f6809860993e2, 0xbe935317fc378238
265 data8 0xbf1799b67a731083, 0xbf9c3c248e2486f8
266 data8 0xc0213aa1f0d08db0, 0xc0a6956e8836ca8d
267 data8 0xc12c4cca66709456, 0xc1b260f5ca0fbb33
268 data8 0xc238d2311e3d6673, 0xc2bfa0bcfad907c9
269 data8 0xc346ccda24976407, 0xc3ce56c98d21b15d
270 data8 0xc4563ecc5334cb33, 0xc4de8523c2c07baa
271 data8 0xc5672a115506dadd, 0xc5f02dd6b0bbc3d9
272 data8 0xc67990b5aa245f79, 0xc70352f04336c51e
273 data8 0xc78d74c8abb9b15d, 0xc817f681416452b2
274 data8 0xc8a2d85c8ffe2c45, 0xc92e1a9d517f0ecc
275 data8 0xc9b9bd866e2f27a3, 0xca45c15afcc72624
276 data8 0xcad2265e4290774e, 0xcb5eecd3b38597c9
277 data8 0xcbec14fef2727c5d, 0xcc799f23d11510e5
278 data8 0xcd078b86503dcdd2, 0xcd95da6a9ff06445
279 data8 0xce248c151f8480e4, 0xceb3a0ca5dc6a55d
280 data8 0xcf4318cf191918c1, 0xcfd2f4683f94eeb5
281 data8 0xd06333daef2b2595, 0xd0f3d76c75c5db8d
282 data8 0xd184df6251699ac6, 0xd2164c023056bcab
283 data8 0xd2a81d91f12ae45a, 0xd33a5457a3029054
284 data8 0xd3ccf099859ac379, 0xd45ff29e0972c561
285 data8 0xd4f35aabcfedfa1f, 0xd5872909ab75d18a
286 data8 0xd61b5dfe9f9bce07, 0xd6aff9d1e13ba2fe
287 data8 0xd744fccad69d6af4, 0xd7da67311797f56a
288 data8 0xd870394c6db32c84, 0xd9067364d44a929c
289 data8 0xd99d15c278afd7b6, 0xda3420adba4d8704
290 data8 0xdacb946f2ac9cc72, 0xdb63714f8e295255
291 data8 0xdbfbb797daf23755, 0xdc9467913a4f1c92
292 data8 0xdd2d818508324c20, 0xddc705bcd378f7f0
293 data8 0xde60f4825e0e9124, 0xdefb4e1f9d1037f2
294 data8 0xdf9612deb8f04420, 0xe031430a0d99e627
295 data8 0xe0ccdeec2a94e111, 0xe168e6cfd3295d23
296 data8 0xe2055afffe83d369, 0xe2a23bc7d7d91226
297 data8 0xe33f8972be8a5a51, 0xe3dd444c46499619
298 data8 0xe47b6ca0373da88d, 0xe51a02ba8e26d681
299 data8 0xe5b906e77c8348a8, 0xe658797368b3a717
300 data8 0xe6f85aaaee1fce22, 0xe798aadadd5b9cbf
301 data8 0xe8396a503c4bdc68, 0xe8da9958464b42ab
302 data8 0xe97c38406c4f8c57, 0xea1e4756550eb27b
303 data8 0xeac0c6e7dd24392f, 0xeb63b74317369840
304 data8 0xec0718b64c1cbddc, 0xecaaeb8ffb03ab41
305 data8 0xed4f301ed9942b84, 0xedf3e6b1d418a491
306 data8 0xee990f980da3025b, 0xef3eab20e032bc6b
307 data8 0xefe4b99bdcdaf5cb, 0xf08b3b58cbe8b76a
308 data8 0xf13230a7ad094509, 0xf1d999d8b7708cc1
309 data8 0xf281773c59ffb13a, 0xf329c9233b6bae9c
310 data8 0xf3d28fde3a641a5b, 0xf47bcbbe6db9fddf
311 data8 0xf5257d152486cc2c, 0xf5cfa433e6537290
312 data8 0xf67a416c733f846e, 0xf7255510c4288239
313 data8 0xf7d0df730ad13bb9, 0xf87ce0e5b2094d9c
314 data8 0xf92959bb5dd4ba74, 0xf9d64a46eb939f35
315 data8 0xfa83b2db722a033a, 0xfb3193cc4227c3f4
316 data8 0xfbdfed6ce5f09c49, 0xfc8ec01121e447bb
317 data8 0xfd3e0c0cf486c175, 0xfdedd1b496a89f35
318 data8 0xfe9e115c7b8f884c, 0xff4ecb59511ec8a5
319 LOCAL_OBJECT_END(T_table)
322 LOCAL_OBJECT_START(D_table)
323 data4 0x00000000, 0x9f55c08f, 0x1e93ffa3, 0x1dcd43a8
324 data4 0x1f751f79, 0x9f3cdd88, 0x9f43d155, 0x1eda222c
325 data4 0x1ef35513, 0x9f597895, 0x9e698881, 0x1ec71073
326 data4 0x1e50e371, 0x9dc01e19, 0x1de74133, 0x1e2f028c
327 data4 0x9edefb47, 0x1ebbac48, 0x9e8b0330, 0x9e9e9314
328 data4 0x1edc1d11, 0x1f098529, 0x9f52827c, 0x1f50050d
329 data4 0x1f301e8e, 0x1f5b64d1, 0x9f45e3ee, 0x9ef64d6d
330 data4 0x1d6ec5e8, 0x9e61ad9a, 0x1d44ccbb, 0x9e4a8bbb
331 data4 0x9cf11576, 0x9dcce7e7, 0x9d02ac90, 0x1f26ccf0
332 data4 0x9f0877c6, 0x9ddd62ae, 0x9f4b7fc3, 0x1ea8ef6b
333 data4 0x1ea4378d, 0x1ef6fc38, 0x1db99fd9, 0x1f22bf6f
334 data4 0x1f53e172, 0x1e85504a, 0x9f37cc75, 0x1f0c5e17
335 data4 0x1dde8aac, 0x9cb42bb2, 0x1e153cd7, 0x1eb62bba
336 data4 0x9e9b941b, 0x9ea80e3c, 0x1f508823, 0x1ec3fd36
337 data4 0x1e9ffaa1, 0x1e21e2eb, 0x9d948b1d, 0x9e8ac93a
338 data4 0x1ef7ee6f, 0x9e80dda3, 0x1f0814be, 0x1dc5ddfe
339 data4 0x1eedb9d1, 0x9f2aaa26, 0x9ea5b0fc, 0x1edf702e
340 data4 0x9e391201, 0x1f1316bb, 0x1ea27fb7, 0x9e05ed18
341 data4 0x9f199ed2, 0x1ee7fd7c, 0x1f003db6, 0x9eac3793
342 data4 0x9e5b8c10, 0x9f3af17c, 0x1bc9a8be, 0x1ee3c004
343 data4 0x9f19b1b2, 0x9f242ce9, 0x9ce67dd1, 0x9e4f6275
344 data4 0x1e20742c, 0x1eb9328a, 0x9f477153, 0x1d969718
345 data4 0x9f1e6c43, 0x1f2f67f4, 0x9f39c7e4, 0x9e3c4feb
346 data4 0x1da3956b, 0x9e7c685d, 0x1f280911, 0x9f0d8afb
347 data4 0x1e314b40, 0x9eb4f250, 0x9f1a34ad, 0x1ef5d5e7
348 data4 0x9f145496, 0x1e604827, 0x9f1e5195, 0x1e9c1fc0
349 data4 0x1efde521, 0x1e69b385, 0x1f316830, 0x9f244eae
350 data4 0x1f1787ec, 0x9e939971, 0x1f0bb393, 0x9f0511d6
351 data4 0x1ed919de, 0x1d8b7b28, 0x1e5ca4a9, 0x1e7c357b
352 data4 0x9e3ff8e8, 0x1eef53b5, 0x9ed22ed7, 0x1f16659b
353 data4 0x9f2db102, 0x9e2c6a78, 0x1f328d7d, 0x9f2fec3c
354 data4 0x1eb395bd, 0x9f242b84, 0x9e2683e6, 0x1ed71e68
355 data4 0x1efd1df5, 0x9e9eeafd, 0x9ed2249c, 0x1eef129a
356 data4 0x1d1ea44c, 0x9e81f7ff, 0x1eaf77c9, 0x9ee7a285
357 data4 0x1e1864ed, 0x9ee7edbb, 0x9e15a27d, 0x9ae61655
358 data4 0x1f1ff1a2, 0x1da29755, 0x9e5f46fb, 0x1e901236
359 data4 0x9eecfb9b, 0x9f204d2f, 0x1ec64685, 0x9eb809bd
360 data4 0x9e0026c5, 0x1d9f1da1, 0x1f142b49, 0x9f20f22e
361 data4 0x1f24b067, 0x1f185a4c, 0x9f09765c, 0x9ece902f
362 data4 0x1e2ca5db, 0x1e6de464, 0x9f071f67, 0x1f1518c3
363 data4 0x1ea13ded, 0x1f0b8414, 0x1edb6ad4, 0x9e548740
364 data4 0x9ea10efb, 0x1ee48a60, 0x1e7954c5, 0x9edad013
365 data4 0x9f21517d, 0x9e9b6e0c, 0x9ee7f9a6, 0x9ebd4298
366 data4 0x9d65b24e, 0x1eed751f, 0x9f1573ea, 0x9d430377
367 data4 0x9e13fc0c, 0x1e47008a, 0x1e3d5c1d, 0x1ef41a91
368 data4 0x9e4a4ef7, 0x9e952f18, 0x1d620566, 0x1d9b8d33
369 data4 0x1db06247, 0x1e94b31e, 0x1f0730ad, 0x9d79ffb4
370 data4 0x1ed64d51, 0x9e91fd11, 0x9e28d35a, 0x9dea0ed9
371 data4 0x1e891def, 0x9ee28ac0, 0x1e1db99b, 0x9ee1ce38
372 data4 0x9bdd9bca, 0x1eb72cb9, 0x9e8c53c6, 0x1e0df6ca
373 data4 0x1e8f2ccd, 0x9e9b0886, 0x1eeb3bc7, 0x1ec7e772
374 data4 0x9e210776, 0x9daf246c, 0x1ea1f151, 0x1ece4dc6
375 data4 0x1ce741c8, 0x1ed3c88f, 0x9ec9a4fd, 0x9e0c8d30
376 data4 0x1d2fbb26, 0x9ef212a7, 0x1ee44f1c, 0x9e445550
377 data4 0x1e075f77, 0x9d9291a3, 0x1f09c2ee, 0x9e012c88
378 data4 0x1f057d62, 0x9e7bb0dc, 0x9d8758ee, 0x1ee8d6c1
379 data4 0x9e509a57, 0x9e4ca7b7, 0x1e2cb341, 0x9ec35106
380 data4 0x1ecf3baf, 0x1e11781c, 0x1ea0cc78, 0x1eb75ca6
381 data4 0x1e961e1a, 0x1eb88853, 0x1e7abf50, 0x1ee38704
382 data4 0x9dc5ab0f, 0x1afe197b, 0x9ec07523, 0x9d9b7f78
383 data4 0x1f011618, 0x1ed43b0b, 0x9f035945, 0x9e3fd014
384 data4 0x9bbda5cd, 0x9e83f8ab, 0x1e58a928, 0x1e392d61
385 data4 0x1efdbb52, 0x1ee310a8, 0x9ec7ecc1, 0x1e8c9ed6
386 data4 0x9ef82dee, 0x9e70545b, 0x9ea53fc4, 0x1e40f419
387 LOCAL_OBJECT_END(D_table)
391 .section .text
392 GLOBAL_IEEE754_ENTRY(exp10l)
394 {.mfi
395 alloc GR_SREG = ar.pfs, 1, 4, 4, 0
396 // will continue only for normal/denormal numbers
397 fclass.nm.unc p12, p7 = f8, 0x1b
398 // GR_ADDR0 = pointer to log2(10), C_1...C_6 followed by T_table
399 addl GR_ADDR0 = @ltoff(poly_coeffs), gp ;;
400 }
402 {.mfi
403 // load start address for C_1...C_6 followed by T_table
404 ld8 GR_ADDR0 = [ GR_ADDR0 ]
405 // X<0 ?
406 fcmp.lt.s1 p6, p8 = f8, f0
407 // GR_BM8 = bias-8
408 mov GR_BM8 = 0xffff-8
409 }
410 {.mlx
411 nop.m 0
412 // GR_EMIN = (-2^14-62)*2^{8}
413 movl GR_EMIN = 0xca807c00 ;;
414 }
416 {.mmb
417 // FR_CONST1 = 2^{-8}
418 setf.exp FR_CONST1 = GR_BM8
419 // load log2(10)*2^8
420 ldfe FR_LOG10 = [ GR_ADDR0 ], 16
421 (p12) br.cond.spnt SPECIAL_EXP10 ;;
422 }
424 {.mmf
425 setf.s FR_UF_TEST = GR_EMIN
426 // load overflow threshold
427 ldfe FR_OF_TEST = [ GR_ADDR0 ], 16
428 // normalize x
429 fma.s0 f8 = f8, f1, f0 ;;
430 }
432 {.mmi
433 // load C_1
434 ldfe FR_COEFF1 = [ GR_ADDR0 ], 16 ;;
435 // load C_2
436 ldfe FR_COEFF2 = [ GR_ADDR0 ], 16
437 nop.i 0 ;;
438 }
440 {.mmf
441 // GR_D_ADDR = pointer to D table
442 add GR_D_ADDR = 2048-64+96+32, GR_ADDR0
443 // load C_3, C_4
444 ldfpd FR_COEFF3, FR_COEFF4 = [ GR_ADDR0 ], 16
445 // y = x*log2(10)*2^8
446 fma.s1 FR_XL10 = f8, FR_LOG10, f0 ;;
447 }
449 {.mfi
450 // load C_5, C_6
451 ldfpd FR_COEFF5, FR_COEFF6 = [ GR_ADDR0 ], 16
452 // get int(x)
453 fcvt.fx.trunc.s1 FR_XINT = f8
454 nop.i 0
455 }
456 {.mfi
457 nop.m 0
458 // FR_LOG10 = log2(10)
459 fma.s1 FR_L10 = FR_LOG10, FR_CONST1, f0
460 nop.i 0 ;;
461 }
463 {.mfi
464 // load log2(10)_low
465 ldfe FR_L10_LOW = [ GR_ADDR0 ], 16
466 // y0 = x*log2(10) = x*log2(10)_hi
467 fma.s1 FR_LOG10 = f8, FR_L10, f0
468 mov GR_EMIN = 0xffff-63
469 }
470 {.mfi
471 mov GR_32_BIAS = 0xffff + 5
472 // (K+f)*2^8 = round_to_int(y)
473 fcvt.fx.s1 FR_KF0 = FR_XL10
474 mov GR_4_BIAS = 0xffff + 2;;
475 }
477 {.mfi
478 // load smallest normal limit
479 ldfe FR_SNORM_LIMIT = [ GR_ADDR0 ], 16
480 // x>overflow threshold ?
481 fcmp.gt.s1 p12, p7 = f8, FR_OF_TEST
482 nop.i 0 ;;
483 }
485 {.mfi
486 setf.exp FR_32 = GR_32_BIAS
487 // x<underflow threshold ?
488 (p7) fcmp.lt.s1 p12, p7 = FR_XL10, FR_UF_TEST
489 nop.i 0 ;;
490 }
492 {.mfi
493 setf.exp FR_4 = GR_4_BIAS
494 fcvt.xf FR_XINTF = FR_XINT
495 nop.i 0
496 }
497 {.mfi
498 nop.m 0
499 // FR_L10 = log2(10)_h*x-RN(log2(10)_h*x)
500 fms.s1 FR_L10 = f8, FR_L10, FR_LOG10
501 nop.i 0 ;;
502 }
504 {.mfi
505 getf.sig GR_BM8 = FR_KF0
506 fcvt.xf FR_KF0 = FR_KF0
507 mov GR_CONST2 = 255 ;;
508 }
510 {.mfi
511 // GR_CONST2 = f
512 and GR_CONST2 = GR_CONST2, GR_BM8
513 // FR_L10_LOW = e = log2(10)_l*x+(log2(10)_h*x-RN(log2(10)_h*x))
514 fma.s1 FR_L10_LOW = FR_L10_LOW, f8, FR_L10
515 // GR_BM8 = K
516 shr GR_BM8 = GR_BM8, 8 ;;
517 }
519 {.mmi
520 // address of D
521 shladd GR_D_ADDR = GR_CONST2, 2, GR_D_ADDR
522 // K+ = bias-63
523 add GR_BM8 = GR_BM8, GR_EMIN
524 // address of T
525 shladd GR_ADDR0 = GR_CONST2, 3, GR_ADDR0 ;;
526 }
528 {.mfb
529 // load D
530 ldfs FR_OF_TEST = [ GR_D_ADDR ]
531 // is input an integer ?
532 fcmp.eq.s1 p13, p14 = f8, FR_XINTF
533 (p12) br.cond.spnt OUT_RANGE_EXP10 ;;
534 }
536 {.mmf
537 // load T
538 ldf8 FR_UF_TEST = [ GR_ADDR0 ]
539 // FR_XL10 = 2^{K-63}
540 setf.exp FR_XL10 = GR_BM8
541 // r = x*log2(10)_hi-2^{-10}* [ (K+f)*2^{10} ]
542 fnma.s1 FR_KF0 = FR_KF0, FR_CONST1, FR_LOG10 ;;
543 }
545 {.mfi
546 nop.m 0
547 // get 28.0
548 fms.s1 FR_28 = FR_32, f1, FR_4
549 nop.i 0
550 }
551 {.mfi
552 nop.m 0
553 // E = 1+C_1*e
554 fma.s1 FR_L10 = FR_L10_LOW, FR_COEFF1, f1
555 nop.i 0 ;;
556 }
558 {.mfi
559 nop.m 0
560 // P12 = C_1+C_2*r
561 fma.s1 FR_COEFF2 = FR_COEFF2, FR_KF0, FR_COEFF1
562 nop.i 0
563 }
564 {.mfi
565 nop.m 0
566 // P34 = C_3+C_4*r
567 fma.s1 FR_COEFF4 = FR_COEFF4, FR_KF0, FR_COEFF3
568 nop.i 0 ;;
569 }
571 {.mfi
572 nop.m 0
573 // P56 = C_5+C_6*r
574 fma.s1 FR_COEFF5 = FR_COEFF6, FR_KF0, FR_COEFF5
575 nop.i 0
576 }
577 {.mfi
578 nop.m 0
579 // GR_ADDR0 = r*r
580 fma.s1 FR_COEFF3 = FR_KF0, FR_KF0, f0
581 nop.i 0 ;;
582 }
584 {.mfi
585 nop.m 0
586 // if input is integer, is it positive ?
587 (p13) fcmp.ge.s1 p13, p14 = f8, f0
588 nop.i 0
589 }
590 {.mfi
591 nop.m 0
592 // r' = r*E
593 fma.s1 FR_KF0 = FR_KF0, FR_L10, f0
594 nop.i 0 ;;
595 }
597 {.mfi
598 nop.m 0
599 // D' = D+C_1*e
600 fma.s1 FR_OF_TEST = FR_L10_LOW, FR_COEFF1, FR_OF_TEST
601 nop.i 0 ;;
602 }
604 {.mfi
605 nop.m 0
606 // test if x >= smallest normal limit
607 fcmp.ge.s1 p11, p0 = f8, FR_SNORM_LIMIT
608 nop.i 0 ;;
609 }
611 {.mfi
612 nop.m 0
613 // P36 = P34+r2*P56
614 fma.s1 FR_COEFF4 = FR_COEFF5, FR_COEFF3, FR_COEFF4
615 nop.i 0
616 }
617 {.mfi
618 nop.m 0
619 // GR_D_ADDR = r'*r2
620 fma.s1 FR_COEFF3 = FR_COEFF3, FR_KF0, f0
621 nop.i 0 ;;
622 }
624 {.mfi
625 nop.m 0
626 // is input below 28.0 ?
627 (p13) fcmp.lt.s1 p13, p14 = f8, FR_28
628 nop.i 0
629 }
630 {.mfi
631 nop.m 0
632 // P' = P12*r'+D'
633 fma.s1 FR_COEFF2 = FR_COEFF2, FR_KF0, FR_OF_TEST
634 nop.i 0 ;;
635 }
637 {.mfi
638 nop.m 0
639 // P = P'+r3*P36
640 fma.s1 FR_COEFF3 = FR_COEFF3, FR_COEFF4, FR_COEFF2
641 nop.i 0
642 }
643 {.mfi
644 nop.m 0
645 // T = 2^{K-63}*T
646 fma.s1 FR_UF_TEST = FR_UF_TEST, FR_XL10, f0
647 nop.i 0 ;;
648 }
650 .pred.rel "mutex",p13,p14
651 {.mfi
652 nop.m 0
653 (p13) fma.s1 f8 = FR_COEFF3, FR_UF_TEST, FR_UF_TEST
654 nop.i 0
655 }
656 {.mfb
657 nop.m 0
658 // result = T+T*P
659 (p14) fma.s0 f8 = FR_COEFF3, FR_UF_TEST, FR_UF_TEST
660 // return
661 (p11) br.ret.sptk b0 ;; // return, if result normal
662 }
664 // Here if result in denormal range (and not zero)
665 {.mib
666 nop.m 0
667 mov GR_Parameter_TAG= 264
668 br.cond.sptk __libm_error_region // Branch to error handling
669 }
670 ;;
672 SPECIAL_EXP10:
674 {.mfi
675 nop.m 0
676 // x = -Infinity ?
677 fclass.m p6, p0 = f8, 0x22
678 nop.i 0 ;;
679 }
681 {.mfi
682 nop.m 0
683 // x = +Infinity ?
684 fclass.m p7, p0 = f8, 0x21
685 nop.i 0 ;;
686 }
688 {.mfi
689 nop.m 0
690 // x = +/-Zero ?
691 fclass.m p8, p0 = f8, 0x7
692 nop.i 0
693 }
694 {.mfb
695 nop.m 0
696 // exp10(-Infinity) = 0
697 (p6) mov f8 = f0
698 (p6) br.ret.spnt b0 ;;
699 }
701 {.mfb
702 nop.m 0
703 // exp10(+Infinity) = +Infinity
704 nop.f 0
705 (p7) br.ret.spnt b0 ;;
706 }
708 {.mfb
709 nop.m 0
710 // exp10(+/-0) = 1
711 (p8) mov f8 = f1
712 (p8) br.ret.spnt b0 ;;
713 }
715 {.mfb
716 nop.m 0
717 // Remaining cases: NaNs
718 fma.s0 f8 = f8, f1, f0
719 br.ret.sptk b0 ;;
720 }
723 OUT_RANGE_EXP10:
725 // underflow: p6 = 1
726 // overflow: p8 = 1
728 .pred.rel "mutex",p6,p8
729 {.mmi
730 (p8) mov GR_CONST1 = 0x1fffe
731 (p6) mov GR_CONST1 = 1
732 nop.i 0
733 }
734 ;;
736 {.mii
737 setf.exp FR_KF0 = GR_CONST1
738 (p8) mov GR_Parameter_TAG = 165
739 (p6) mov GR_Parameter_TAG = 264
740 }
741 ;;
743 {.mfb
744 nop.m 999
745 fma.s0 f8 = FR_KF0, FR_KF0, f0 // Create overflow/underflow
746 br.cond.sptk __libm_error_region // Branch to error handling
747 }
748 ;;
750 GLOBAL_IEEE754_END(exp10l)
751 libm_alias_ldouble_other (__exp10, exp10)
752 #if SHLIB_COMPAT (libm, GLIBC_2_1, GLIBC_2_27)
753 compat_symbol (libm, exp10l, pow10l, GLIBC_2_2)
754 #endif
757 LOCAL_LIBM_ENTRY(__libm_error_region)
758 .prologue
759 {.mfi
760 add GR_Parameter_Y = -32, sp // Parameter 2 value
761 nop.f 0
762 .save ar.pfs, GR_SAVE_PFS
763 mov GR_SAVE_PFS = ar.pfs // Save ar.pfs
764 }
766 {.mfi
767 .fframe 64
768 add sp = -64, sp // Create new stack
769 nop.f 0
770 mov GR_SAVE_GP = gp ;; // Save gp
771 }
773 {.mmi
774 stfe [ GR_Parameter_Y ] = FR_Y, 16 // STORE Parameter 2 on stack
775 add GR_Parameter_X = 16, sp // Parameter 1 address
776 .save b0, GR_SAVE_B0
777 mov GR_SAVE_B0 = b0 ;; // Save b0
778 }
780 .body
781 {.mib
782 stfe [ GR_Parameter_X ] = FR_X // STORE Parameter 1 on stack
783 add GR_Parameter_RESULT = 0, GR_Parameter_Y // Parameter 3 address
784 nop.b 0
785 }
786 {.mib
787 stfe [ GR_Parameter_Y ] = FR_RESULT // STORE Parameter 3 on stack
788 add GR_Parameter_Y = -16, GR_Parameter_Y
789 br.call.sptk b0 = __libm_error_support# ;; // Call error handling function
790 }
792 {.mmi
793 add GR_Parameter_RESULT = 48, sp
794 nop.m 0
795 nop.i 0 ;;
796 }
798 {.mmi
799 ldfe f8 = [ GR_Parameter_RESULT ] // Get return result off stack
800 .restore sp
801 add sp = 64, sp // Restore stack pointer
802 mov b0 = GR_SAVE_B0 ;; // Restore return address
803 }
805 {.mib
806 mov gp = GR_SAVE_GP // Restore gp
807 mov ar.pfs = GR_SAVE_PFS // Restore ar.pfs
808 br.ret.sptk b0 ;; // Return
809 }
812 LOCAL_LIBM_END(__libm_error_region)
813 .type __libm_error_support#, @function
814 .global __libm_error_support#