| blob | 743ed3558b5e7687870fd07e306d9bad8006ab65 |
1 .file "exp2l.s"
4 // Copyright (c) 2000 - 2003, Intel Corporation
5 // All rights reserved.
6 //
7 // Contributed 2000 by the Intel Numerics Group, Intel Corporation
8 //
9 // Redistribution and use in source and binary forms, with or without
10 // modification, are permitted provided that the following conditions are
11 // met:
12 //
13 // * Redistributions of source code must retain the above copyright
14 // notice, this list of conditions and the following disclaimer.
15 //
16 // * Redistributions in binary form must reproduce the above copyright
17 // notice, this list of conditions and the following disclaimer in the
18 // documentation and/or other materials provided with the distribution.
19 //
20 // * The name of Intel Corporation may not be used to endorse or promote
21 // products derived from this software without specific prior written
22 // permission.
24 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
25 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
26 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
27 // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
28 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
29 // EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
30 // PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
31 // PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
32 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
33 // NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
34 // SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
35 //
36 // Intel Corporation is the author of this code, and requests that all
37 // problem reports or change requests be submitted to it directly at
38 // http://www.intel.com/software/products/opensource/libraries/num.htm.
39 //
40 // History
41 //==============================================================
42 // 07/27/00 Initial version
43 // 08/15/00 Bundle added after call to __libm_error_support to properly
44 // set [ the previously overwritten ] GR_Parameter_RESULT.
45 // 02/02/01 Added libm_error_support calls for underflow
46 // 05/20/02 Cleaned up namespace and sf0 syntax
47 // 02/06/03 Reordered header: .section, .global, .proc, .align
48 // 05/07/03 Reformatted assembly source
49 //
50 // API
51 //==============================================================
52 // long double exp2l(long double)
53 //
54 // Overview of operation
55 //==============================================================
56 // Background
57 //
58 // Implementation
59 //
60 // Let x= K + f + r, where
61 // K is an integer, f= 0.b1 b2... b8 (f>= 0),
62 // and |r|<2^{-8}
63 // T is a table that stores 2^f (256 entries) rounded to
64 // double extended precision (only mantissa is stored)
65 // D stores (2^f/T [ f ] - 1), rounded to single precision
66 //
67 // 2^x is approximated as
68 // 2^K * T [ f ] * (1+D [ f ] +c1*r+c2*r^2+...+c6*r^6)
69 //
73 // Special values
74 //==============================================================
75 // exp2(0)= 1
76 // exp2(+inf)= inf
77 // exp2(-inf)= 0
78 //
81 // Registers used
82 //==============================================================
83 // f6-f15, f32-f46
84 // r2-r3, r8-r11, r14-r40
85 // p6, p7, p8, p12
87 FR_X = f10
88 FR_Y = f1
89 FR_RESULT = f8
91 FR_KF0 = f6
92 FR_EXP63 = f7
93 FR_T = f9
94 FR_COEFF3 = f10
95 FR_COEFF4 = f11
96 FR_COEFF5 = f12
97 FR_COEFF6 = f13
98 FR_COEFF1 = f14
99 FR_COEFF2 = f15
100 FR_2P14 = f32
101 FR_UF_TEST = f33
102 FR_D = f34
103 FR_R = f35
104 FR_2EXP = f36
105 FR_EMIN = f37
106 FR_P34 = f38
107 FR_P56 = f39
108 FR_R2 = f40
109 FR_P12 = f41
110 FR_TS = f42
111 FR_P36 = f43
112 FR_P02 = f44
113 FR_R3 = f45
114 FR_P06 = f46
117 GR_ADDR0 = r2
118 GR_ADDR = r2
119 GR_D_ADDR0 = r3
120 GR_D_ADDR = r3
121 GR_LEADBITS = r8
122 GR_256 = r9
123 GR_EM63 = r10
124 GR_255 = r11
125 GR_EXPON = r14
126 GR_BM63 = r15
127 GR_UF_TEST = r16
128 GR_INDEX = r17
129 GR_K = r18
130 GR_KF = r19
131 GR_2P14 = r19
132 GR_EMIN = r20
133 GR_IT = r21
134 GR_ID = r22
135 GR_63 = r23
136 GR_CONST1 = r24
137 GR_EBIAS = r25
138 GR_CONST2 = r26
139 GR_CONST3 = r27
140 GR_SIGNIF = r28
141 GR_ARGEXP = r29
142 GR_SGN = r30
143 GR_EMIN1 = r31
144 GR_SREG = r32
146 GR_SAVE_B0 = r33
147 GR_SAVE_PFS = r34
148 GR_SAVE_GP = r35
149 GR_SAVE_SP = r36
151 GR_Parameter_X = r37
152 GR_Parameter_Y = r38
153 GR_Parameter_RESULT= r39
154 GR_Parameter_TAG = r40
157 // Data tables
158 //==============================================================
160 RODATA
162 .align 16
164 LOCAL_OBJECT_START(poly_coeffs)
166 data8 0x3fac6b08d704a0c0 // C_3
167 data8 0x3f83b2ab6fba4e77 // C_4
168 data8 0x3f55d87fe78a6731 // C_5
169 data8 0x3f2430912f86c787 // C_6
170 data8 0xb17217f7d1cf79ab, 0x00003ffe // C_1
171 data8 0xf5fdeffc162c7541, 0x00003ffc // C_2
172 LOCAL_OBJECT_END(poly_coeffs)
175 LOCAL_OBJECT_START(T_table)
177 data8 0x8000000000000000, 0x8058d7d2d5e5f6b1
178 data8 0x80b1ed4fd999ab6c, 0x810b40a1d81406d4
179 data8 0x8164d1f3bc030773, 0x81bea1708dde6056
180 data8 0x8218af4373fc25ec, 0x8272fb97b2a5894c
181 data8 0x82cd8698ac2ba1d7, 0x83285071e0fc4547
182 data8 0x8383594eefb6ee37, 0x83dea15b9541b132
183 data8 0x843a28c3acde4046, 0x8495efb3303efd30
184 data8 0x84f1f656379c1a29, 0x854e3cd8f9c8c95d
185 data8 0x85aac367cc487b15, 0x86078a2f23642a9f
186 data8 0x8664915b923fba04, 0x86c1d919caef5c88
187 data8 0x871f61969e8d1010, 0x877d2afefd4e256c
188 data8 0x87db357ff698d792, 0x88398146b919f1d4
189 data8 0x88980e8092da8527, 0x88f6dd5af155ac6b
190 data8 0x8955ee03618e5fdd, 0x89b540a7902557a4
191 data8 0x8a14d575496efd9a, 0x8a74ac9a79896e47
192 data8 0x8ad4c6452c728924, 0x8b3522a38e1e1032
193 data8 0x8b95c1e3ea8bd6e7, 0x8bf6a434adde0085
194 data8 0x8c57c9c4646f4dde, 0x8cb932c1bae97a95
195 data8 0x8d1adf5b7e5ba9e6, 0x8d7ccfc09c50e2f8
196 data8 0x8ddf042022e69cd6, 0x8e417ca940e35a01
197 data8 0x8ea4398b45cd53c0, 0x8f073af5a2013520
198 data8 0x8f6a8117e6c8e5c4, 0x8fce0c21c6726481
199 data8 0x9031dc431466b1dc, 0x9095f1abc540ca6b
200 data8 0x90fa4c8beee4b12b, 0x915eed13c89689d3
201 data8 0x91c3d373ab11c336, 0x9228ffdc10a051ad
202 data8 0x928e727d9531f9ac, 0x92f42b88f673aa7c
203 data8 0x935a2b2f13e6e92c, 0x93c071a0eef94bc1
204 data8 0x9426ff0fab1c04b6, 0x948dd3ac8ddb7ed3
205 data8 0x94f4efa8fef70961, 0x955c5336887894d5
206 data8 0x95c3fe86d6cc7fef, 0x962bf1cbb8d97560
207 data8 0x96942d3720185a00, 0x96fcb0fb20ac4ba3
208 data8 0x97657d49f17ab08e, 0x97ce9255ec4357ab
209 data8 0x9837f0518db8a96f, 0x98a1976f7597e996
210 data8 0x990b87e266c189aa, 0x9975c1dd47518c77
211 data8 0x99e0459320b7fa65, 0x9a4b13371fd166ca
212 data8 0x9ab62afc94ff864a, 0x9b218d16f441d63d
213 data8 0x9b8d39b9d54e5539, 0x9bf93118f3aa4cc1
214 data8 0x9c6573682ec32c2d, 0x9cd200db8a0774cb
215 data8 0x9d3ed9a72cffb751, 0x9dabfdff6367a2aa
216 data8 0x9e196e189d472420, 0x9e872a276f0b98ff
217 data8 0x9ef5326091a111ae, 0x9f6386f8e28ba651
218 data8 0x9fd228256400dd06, 0xa041161b3d0121be
219 data8 0xa0b0510fb9714fc2, 0xa11fd9384a344cf7
220 data8 0xa18faeca8544b6e4, 0xa1ffd1fc25cea188
221 data8 0xa27043030c496819, 0xa2e102153e918f9e
222 data8 0xa3520f68e802bb93, 0xa3c36b345991b47c
223 data8 0xa43515ae09e6809e, 0xa4a70f0c95768ec5
224 data8 0xa5195786be9ef339, 0xa58bef536dbeb6ee
225 data8 0xa5fed6a9b15138ea, 0xa6720dc0be08a20c
226 data8 0xa6e594cfeee86b1e, 0xa7596c0ec55ff55b
227 data8 0xa7cd93b4e965356a, 0xa8420bfa298f70d1
228 data8 0xa8b6d5167b320e09, 0xa92bef41fa77771b
229 data8 0xa9a15ab4ea7c0ef8, 0xaa1717a7b5693979
230 data8 0xaa8d2652ec907629, 0xab0386ef48868de1
231 data8 0xab7a39b5a93ed337, 0xabf13edf162675e9
232 data8 0xac6896a4be3fe929, 0xace0413ff83e5d04
233 data8 0xad583eea42a14ac6, 0xadd08fdd43d01491
234 data8 0xae493452ca35b80e, 0xaec22c84cc5c9465
235 data8 0xaf3b78ad690a4375, 0xafb51906e75b8661
236 data8 0xb02f0dcbb6e04584, 0xb0a957366fb7a3c9
237 data8 0xb123f581d2ac2590, 0xb19ee8e8c94feb09
238 data8 0xb21a31a66618fe3b, 0xb295cff5e47db4a4
239 data8 0xb311c412a9112489, 0xb38e0e38419fae18
240 data8 0xb40aaea2654b9841, 0xb487a58cf4a9c180
241 data8 0xb504f333f9de6484, 0xb58297d3a8b9f0d2
242 data8 0xb60093a85ed5f76c, 0xb67ee6eea3b22b8f
243 data8 0xb6fd91e328d17791, 0xb77c94c2c9d725e9
244 data8 0xb7fbefca8ca41e7c, 0xb87ba337a1743834
245 data8 0xb8fbaf4762fb9ee9, 0xb97c143756844dbf
246 data8 0xb9fcd2452c0b9deb, 0xba7de9aebe5fea09
247 data8 0xbaff5ab2133e45fb, 0xbb81258d5b704b6f
248 data8 0xbc034a7ef2e9fb0d, 0xbc85c9c560e7b269
249 data8 0xbd08a39f580c36bf, 0xbd8bd84bb67ed483
250 data8 0xbe0f6809860993e2, 0xbe935317fc378238
251 data8 0xbf1799b67a731083, 0xbf9c3c248e2486f8
252 data8 0xc0213aa1f0d08db0, 0xc0a6956e8836ca8d
253 data8 0xc12c4cca66709456, 0xc1b260f5ca0fbb33
254 data8 0xc238d2311e3d6673, 0xc2bfa0bcfad907c9
255 data8 0xc346ccda24976407, 0xc3ce56c98d21b15d
256 data8 0xc4563ecc5334cb33, 0xc4de8523c2c07baa
257 data8 0xc5672a115506dadd, 0xc5f02dd6b0bbc3d9
258 data8 0xc67990b5aa245f79, 0xc70352f04336c51e
259 data8 0xc78d74c8abb9b15d, 0xc817f681416452b2
260 data8 0xc8a2d85c8ffe2c45, 0xc92e1a9d517f0ecc
261 data8 0xc9b9bd866e2f27a3, 0xca45c15afcc72624
262 data8 0xcad2265e4290774e, 0xcb5eecd3b38597c9
263 data8 0xcbec14fef2727c5d, 0xcc799f23d11510e5
264 data8 0xcd078b86503dcdd2, 0xcd95da6a9ff06445
265 data8 0xce248c151f8480e4, 0xceb3a0ca5dc6a55d
266 data8 0xcf4318cf191918c1, 0xcfd2f4683f94eeb5
267 data8 0xd06333daef2b2595, 0xd0f3d76c75c5db8d
268 data8 0xd184df6251699ac6, 0xd2164c023056bcab
269 data8 0xd2a81d91f12ae45a, 0xd33a5457a3029054
270 data8 0xd3ccf099859ac379, 0xd45ff29e0972c561
271 data8 0xd4f35aabcfedfa1f, 0xd5872909ab75d18a
272 data8 0xd61b5dfe9f9bce07, 0xd6aff9d1e13ba2fe
273 data8 0xd744fccad69d6af4, 0xd7da67311797f56a
274 data8 0xd870394c6db32c84, 0xd9067364d44a929c
275 data8 0xd99d15c278afd7b6, 0xda3420adba4d8704
276 data8 0xdacb946f2ac9cc72, 0xdb63714f8e295255
277 data8 0xdbfbb797daf23755, 0xdc9467913a4f1c92
278 data8 0xdd2d818508324c20, 0xddc705bcd378f7f0
279 data8 0xde60f4825e0e9124, 0xdefb4e1f9d1037f2
280 data8 0xdf9612deb8f04420, 0xe031430a0d99e627
281 data8 0xe0ccdeec2a94e111, 0xe168e6cfd3295d23
282 data8 0xe2055afffe83d369, 0xe2a23bc7d7d91226
283 data8 0xe33f8972be8a5a51, 0xe3dd444c46499619
284 data8 0xe47b6ca0373da88d, 0xe51a02ba8e26d681
285 data8 0xe5b906e77c8348a8, 0xe658797368b3a717
286 data8 0xe6f85aaaee1fce22, 0xe798aadadd5b9cbf
287 data8 0xe8396a503c4bdc68, 0xe8da9958464b42ab
288 data8 0xe97c38406c4f8c57, 0xea1e4756550eb27b
289 data8 0xeac0c6e7dd24392f, 0xeb63b74317369840
290 data8 0xec0718b64c1cbddc, 0xecaaeb8ffb03ab41
291 data8 0xed4f301ed9942b84, 0xedf3e6b1d418a491
292 data8 0xee990f980da3025b, 0xef3eab20e032bc6b
293 data8 0xefe4b99bdcdaf5cb, 0xf08b3b58cbe8b76a
294 data8 0xf13230a7ad094509, 0xf1d999d8b7708cc1
295 data8 0xf281773c59ffb13a, 0xf329c9233b6bae9c
296 data8 0xf3d28fde3a641a5b, 0xf47bcbbe6db9fddf
297 data8 0xf5257d152486cc2c, 0xf5cfa433e6537290
298 data8 0xf67a416c733f846e, 0xf7255510c4288239
299 data8 0xf7d0df730ad13bb9, 0xf87ce0e5b2094d9c
300 data8 0xf92959bb5dd4ba74, 0xf9d64a46eb939f35
301 data8 0xfa83b2db722a033a, 0xfb3193cc4227c3f4
302 data8 0xfbdfed6ce5f09c49, 0xfc8ec01121e447bb
303 data8 0xfd3e0c0cf486c175, 0xfdedd1b496a89f35
304 data8 0xfe9e115c7b8f884c, 0xff4ecb59511ec8a5
305 LOCAL_OBJECT_END(T_table)
308 LOCAL_OBJECT_START(D_table)
310 data4 0x00000000, 0x9f55c08f, 0x1e93ffa3, 0x1dcd43a8
311 data4 0x1f751f79, 0x9f3cdd88, 0x9f43d155, 0x1eda222c
312 data4 0x1ef35513, 0x9f597895, 0x9e698881, 0x1ec71073
313 data4 0x1e50e371, 0x9dc01e19, 0x1de74133, 0x1e2f028c
314 data4 0x9edefb47, 0x1ebbac48, 0x9e8b0330, 0x9e9e9314
315 data4 0x1edc1d11, 0x1f098529, 0x9f52827c, 0x1f50050d
316 data4 0x1f301e8e, 0x1f5b64d1, 0x9f45e3ee, 0x9ef64d6d
317 data4 0x1d6ec5e8, 0x9e61ad9a, 0x1d44ccbb, 0x9e4a8bbb
318 data4 0x9cf11576, 0x9dcce7e7, 0x9d02ac90, 0x1f26ccf0
319 data4 0x9f0877c6, 0x9ddd62ae, 0x9f4b7fc3, 0x1ea8ef6b
320 data4 0x1ea4378d, 0x1ef6fc38, 0x1db99fd9, 0x1f22bf6f
321 data4 0x1f53e172, 0x1e85504a, 0x9f37cc75, 0x1f0c5e17
322 data4 0x1dde8aac, 0x9cb42bb2, 0x1e153cd7, 0x1eb62bba
323 data4 0x9e9b941b, 0x9ea80e3c, 0x1f508823, 0x1ec3fd36
324 data4 0x1e9ffaa1, 0x1e21e2eb, 0x9d948b1d, 0x9e8ac93a
325 data4 0x1ef7ee6f, 0x9e80dda3, 0x1f0814be, 0x1dc5ddfe
326 data4 0x1eedb9d1, 0x9f2aaa26, 0x9ea5b0fc, 0x1edf702e
327 data4 0x9e391201, 0x1f1316bb, 0x1ea27fb7, 0x9e05ed18
328 data4 0x9f199ed2, 0x1ee7fd7c, 0x1f003db6, 0x9eac3793
329 data4 0x9e5b8c10, 0x9f3af17c, 0x1bc9a8be, 0x1ee3c004
330 data4 0x9f19b1b2, 0x9f242ce9, 0x9ce67dd1, 0x9e4f6275
331 data4 0x1e20742c, 0x1eb9328a, 0x9f477153, 0x1d969718
332 data4 0x9f1e6c43, 0x1f2f67f4, 0x9f39c7e4, 0x9e3c4feb
333 data4 0x1da3956b, 0x9e7c685d, 0x1f280911, 0x9f0d8afb
334 data4 0x1e314b40, 0x9eb4f250, 0x9f1a34ad, 0x1ef5d5e7
335 data4 0x9f145496, 0x1e604827, 0x9f1e5195, 0x1e9c1fc0
336 data4 0x1efde521, 0x1e69b385, 0x1f316830, 0x9f244eae
337 data4 0x1f1787ec, 0x9e939971, 0x1f0bb393, 0x9f0511d6
338 data4 0x1ed919de, 0x1d8b7b28, 0x1e5ca4a9, 0x1e7c357b
339 data4 0x9e3ff8e8, 0x1eef53b5, 0x9ed22ed7, 0x1f16659b
340 data4 0x9f2db102, 0x9e2c6a78, 0x1f328d7d, 0x9f2fec3c
341 data4 0x1eb395bd, 0x9f242b84, 0x9e2683e6, 0x1ed71e68
342 data4 0x1efd1df5, 0x9e9eeafd, 0x9ed2249c, 0x1eef129a
343 data4 0x1d1ea44c, 0x9e81f7ff, 0x1eaf77c9, 0x9ee7a285
344 data4 0x1e1864ed, 0x9ee7edbb, 0x9e15a27d, 0x9ae61655
345 data4 0x1f1ff1a2, 0x1da29755, 0x9e5f46fb, 0x1e901236
346 data4 0x9eecfb9b, 0x9f204d2f, 0x1ec64685, 0x9eb809bd
347 data4 0x9e0026c5, 0x1d9f1da1, 0x1f142b49, 0x9f20f22e
348 data4 0x1f24b067, 0x1f185a4c, 0x9f09765c, 0x9ece902f
349 data4 0x1e2ca5db, 0x1e6de464, 0x9f071f67, 0x1f1518c3
350 data4 0x1ea13ded, 0x1f0b8414, 0x1edb6ad4, 0x9e548740
351 data4 0x9ea10efb, 0x1ee48a60, 0x1e7954c5, 0x9edad013
352 data4 0x9f21517d, 0x9e9b6e0c, 0x9ee7f9a6, 0x9ebd4298
353 data4 0x9d65b24e, 0x1eed751f, 0x9f1573ea, 0x9d430377
354 data4 0x9e13fc0c, 0x1e47008a, 0x1e3d5c1d, 0x1ef41a91
355 data4 0x9e4a4ef7, 0x9e952f18, 0x1d620566, 0x1d9b8d33
356 data4 0x1db06247, 0x1e94b31e, 0x1f0730ad, 0x9d79ffb4
357 data4 0x1ed64d51, 0x9e91fd11, 0x9e28d35a, 0x9dea0ed9
358 data4 0x1e891def, 0x9ee28ac0, 0x1e1db99b, 0x9ee1ce38
359 data4 0x9bdd9bca, 0x1eb72cb9, 0x9e8c53c6, 0x1e0df6ca
360 data4 0x1e8f2ccd, 0x9e9b0886, 0x1eeb3bc7, 0x1ec7e772
361 data4 0x9e210776, 0x9daf246c, 0x1ea1f151, 0x1ece4dc6
362 data4 0x1ce741c8, 0x1ed3c88f, 0x9ec9a4fd, 0x9e0c8d30
363 data4 0x1d2fbb26, 0x9ef212a7, 0x1ee44f1c, 0x9e445550
364 data4 0x1e075f77, 0x9d9291a3, 0x1f09c2ee, 0x9e012c88
365 data4 0x1f057d62, 0x9e7bb0dc, 0x9d8758ee, 0x1ee8d6c1
366 data4 0x9e509a57, 0x9e4ca7b7, 0x1e2cb341, 0x9ec35106
367 data4 0x1ecf3baf, 0x1e11781c, 0x1ea0cc78, 0x1eb75ca6
368 data4 0x1e961e1a, 0x1eb88853, 0x1e7abf50, 0x1ee38704
369 data4 0x9dc5ab0f, 0x1afe197b, 0x9ec07523, 0x9d9b7f78
370 data4 0x1f011618, 0x1ed43b0b, 0x9f035945, 0x9e3fd014
371 data4 0x9bbda5cd, 0x9e83f8ab, 0x1e58a928, 0x1e392d61
372 data4 0x1efdbb52, 0x1ee310a8, 0x9ec7ecc1, 0x1e8c9ed6
373 data4 0x9ef82dee, 0x9e70545b, 0x9ea53fc4, 0x1e40f419
374 LOCAL_OBJECT_END(D_table)
378 .section .text
379 GLOBAL_LIBM_ENTRY(exp2l)
381 {.mii
382 // get exponent
383 getf.exp GR_EBIAS = f8
384 // GR_D_ADDR0 = pointer to D_table
385 addl GR_D_ADDR0 = @ltoff(D_table), gp
386 // GR_ADDR0 = pointer to C_1...C_6 followed by T_table
387 addl GR_ADDR0 = @ltoff(poly_coeffs), gp ;;
388 }
390 {.mfi
391 // get significand
392 getf.sig GR_SIGNIF = f8
393 // will continue only for normal/denormal numbers
394 fclass.nm.unc p12, p7 = f8, 0x1b
395 mov GR_63 = 63 ;;
396 }
398 {.mfi
399 nop.m 0
400 nop.f 0
401 // GR_CONST2 = bias+63-8
402 mov GR_CONST2 = 0xffff+55
403 }
404 {.mfi
405 // GR_CONST1 = bias+15
406 mov GR_CONST1 = 0xffff+15
407 nop.f 0
408 mov GR_CONST3 = 0x1ffff ;;
409 }
411 {.mfi
412 // load start address for C_1...C_6 followed by T_table
413 ld8 GR_ADDR = [ GR_ADDR0 ]
414 nop.f 0
415 // get sign of argument
416 andcm GR_SGN = GR_EBIAS, GR_CONST3
417 }
418 {.mfi
419 // GR_D_ADDR = pointer to D_table
420 ld8 GR_D_ADDR = [ GR_D_ADDR0 ]
421 nop.f 0
422 // get argument exponent
423 and GR_ARGEXP = GR_CONST3, GR_EBIAS ;;
424 }
426 {.mfi
427 alloc GR_SREG = ar.pfs, 1, 4, 4, 0
428 nop.f 0
429 // p6 = 1 if sign = 1
430 cmp.ne p6, p8 = GR_SGN, r0
431 }
432 {.mfi
433 // p7 = 1 if exponent> = 15 (argument out of range)
434 cmp.ge p7, p0 = GR_ARGEXP, GR_CONST1
435 nop.f 0
436 sub GR_EXPON = GR_CONST2, GR_ARGEXP ;;
437 }
439 {.mib
440 // load C_3, C_4
441 ldfpd FR_COEFF3, FR_COEFF4 = [ GR_ADDR ], 16
442 // get first exponent+8 bits
443 shr.u GR_LEADBITS = GR_SIGNIF, GR_EXPON
444 (p12) br.cond.spnt SPECIAL_exp2l
445 }
446 {.mib
447 mov GR_256 = 256
448 // exponent- = 63
449 sub GR_EM63 = GR_EBIAS, GR_63
450 (p7) br.cond.spnt OUT_RANGE_exp2l ;;
451 }
453 {.mlx
454 // load C_5, C_6
455 ldfpd FR_COEFF5, FR_COEFF6 = [ GR_ADDR ], 16
456 // GR_2P14 = 2^14
457 movl GR_2P14 = 0x46800000 ;;
458 }
460 {.mfi
461 // load C_1
462 ldfe FR_COEFF1 = [ GR_ADDR ], 16
463 fma.s0 f8 = f8, f1, f0
464 // GR_BM63 = bias-63
465 mov GR_BM63 = 0xffff-63 ;;
466 }
468 {.mlx
469 setf.s FR_2P14 = GR_2P14
470 // GR_UF_TEST = -2^14-62
471 movl GR_UF_TEST = 0xc6807c00
472 }
473 {.mfi
474 // load C_2
475 ldfe FR_COEFF2 = [ GR_ADDR ], 16
476 nop.f 0
477 mov GR_255 = 255 ;;
478 }
480 {.mib
481 // get 8-bit index
482 and GR_INDEX = GR_255, GR_LEADBITS
483 // get K = integer part
484 shr.u GR_K = GR_LEADBITS, 8
485 nop.b 0 ;;
486 }
488 {.mmi
489 // if sign = 1 && f>0, set p7 = 1
490 (p6) cmp.gt.unc p7, p0 = GR_INDEX, r0
491 setf.s FR_UF_TEST = GR_UF_TEST
492 shl GR_KF = GR_LEADBITS, GR_EXPON ;;
493 }
495 {.mfi
496 // if sign = 1 && f>0, set f = 1-f
497 (p7) sub GR_INDEX = GR_256, GR_INDEX
498 nop.f 0
499 // if sign = 1 && f>0, set K = K+1
500 (p7) add GR_K = GR_K, r0, 1 ;;
501 }
503 {.mfi
504 // FR_EXP63 = 2^{expon-63}
505 setf.exp FR_EXP63 = GR_EM63
506 nop.f 0
507 nop.i 0 ;;
508 }
510 .pred.rel "mutex", p6, p8
511 {.mfi
512 // if sign = 0, set scale factor exponent S = K+bias-63
513 (p8) add GR_K = GR_K, GR_BM63
514 nop.f 0
515 // if sign = 1, set scale factor exponent S = -K+bias-63
516 (p6) sub GR_K = GR_BM63, GR_K ;;
517 }
519 {.mmi
520 // FR_KF0 = 2^{63-expon}*(K+f)
521 setf.sig FR_KF0 = GR_KF
522 nop.m 0
523 // GR_EMIN = EMIN = 2-2^14
524 mov GR_EMIN = 0x18cfff ;;
525 }
527 {.mfi
528 // get T_table index
529 shladd GR_IT = GR_INDEX, 3, GR_ADDR
530 // p7 = 1 if x> = 2^10
531 fcmp.ge.s1 p7, p12 = f8, FR_2P14
532 // get D_table index
533 shladd GR_ID = GR_INDEX, 2, GR_D_ADDR ;;
534 }
536 {.mfi
537 // load T_table value
538 ldf8 FR_T = [ GR_IT ]
539 // p7 = 1 if x<-2^10-50
540 (p12) fcmp.lt.s1 p7, p0 = f8, FR_UF_TEST
541 // GR_EMIN1 = EMIN = 2-2^14
542 shl GR_EMIN1 = GR_EMIN, 11 ;;
543 }
545 {.mmb
546 // f50 = scale factor = 2^{K-63}
547 setf.exp FR_2EXP = GR_K
548 // load D_table value
549 ldfs FR_D = [ GR_ID ]
550 (p7) br.cond.spnt OUT_RANGE_exp2l ;;
551 }
553 {.mfi
554 nop.m 0
555 // get r = x-(K+f)
556 fnma.s1 FR_R = FR_KF0, FR_EXP63, f8
557 nop.i 0 ;;
558 }
560 {.mfi
561 // FR_EMIN = EMIN
562 setf.s FR_EMIN = GR_EMIN1
563 // P34 = C_4*r+C_3
564 fma.s1 FR_P34 = FR_COEFF4, FR_R, FR_COEFF3
565 nop.i 0
566 }
567 {.mfi
568 nop.m 0
569 // P56 = C_6*r+C_5
570 fma.s1 FR_P56 = FR_COEFF6, FR_R, FR_COEFF5
571 nop.i 0 ;;
572 }
574 {.mfi
575 nop.m 0
576 // r*r
577 fma.s1 FR_R2 = FR_R, FR_R, f0
578 nop.i 0
579 }
580 {.mfi
581 nop.m 0
582 // P12 = C_2*r+C_1
583 fma.s1 FR_P12 = FR_COEFF2, FR_R, FR_COEFF1
584 nop.i 0 ;;
585 }
587 {.mfi
588 nop.m 0
589 // T* = scaling factor
590 fma.s1 FR_TS = FR_T, FR_2EXP, f0
591 nop.i 0
592 }
593 {.mfi
594 nop.m 0
595 // P36 = P34+r2*P56
596 fma.s1 FR_P36 = FR_P56, FR_R2, FR_P34
597 nop.i 0 ;;
598 }
600 {.mfi
601 nop.m 0
602 // P02 = D+r*P12
603 fma.s1 FR_P02 = FR_P12, FR_R, FR_D
604 nop.i 0
605 }
606 {.mfi
607 nop.m 0
608 // GR_ID = r*r2
609 fma.s1 FR_R3 = FR_R2, FR_R, f0
610 nop.i 0 ;;
611 }
613 {.mfi
614 nop.m 0
615 // P06 = P02+r3*P36
616 fma.s1 FR_P06 = FR_P36, FR_R3, FR_P02
617 nop.i 0 ;;
618 }
620 {.mfi
621 nop.m 0
622 // underflow (x<EMIN) ?
623 fcmp.lt.s0 p6, p8 = f8, FR_EMIN
624 nop.i 0 ;;
625 }
627 {.mfb
628 nop.m 0
629 // result = T+T*P06
630 fma.s0 f8 = FR_TS, FR_P06, FR_TS
631 // return
632 (p8) br.ret.sptk b0
633 }
634 {.mfb
635 (p6) mov GR_Parameter_TAG = 160
636 nop.f 0
637 (p6) br.cond.sptk __libm_error_region ;;
638 }
641 SPECIAL_exp2l:
643 {.mfi
644 nop.m 0
645 // x = -Infinity ?
646 fclass.m p6, p0 = f8, 0x22
647 nop.i 0 ;;
648 }
650 {.mfi
651 nop.m 0
652 // x = +Infinity ?
653 fclass.m p7, p0 = f8, 0x21
654 nop.i 0 ;;
655 }
657 {.mfi
658 nop.m 0
659 // x = +/-Zero ?
660 fclass.m p8, p0 = f8, 0x7
661 nop.i 0
662 }
663 {.mfb
664 nop.m 0
665 // exp2l(-Infinity) = 0
666 (p6) mov f8 = f0
667 (p6) br.ret.spnt b0 ;;
668 }
670 {.mfb
671 nop.m 0
672 // exp2l(+Infinity) = +Infinity
673 nop.f 0
674 (p7) br.ret.spnt b0 ;;
675 }
677 {.mfb
678 nop.m 0
679 // exp2l(+/-0) = 1
680 (p8) mov f8 = f1
681 (p8) br.ret.spnt b0 ;;
682 }
684 {.mfb
685 nop.m 0
686 // Remaining cases: NaNs
687 fma.s0 f8 = f8, f1, f0
688 br.ret.sptk b0 ;;
689 }
692 OUT_RANGE_exp2l:
695 {.mfi
696 // overflow: p8 = 1
697 (p8) mov GR_EM63 = 0x1fffe
698 // normalize input, to detect pseudo-zeroes
699 fma.s0 f8 = f8, f1, f0
700 nop.i 0 ;;
701 }
703 {.mfi
704 nop.m 0
705 // f8 = 0?
706 fcmp.eq.s1 p7, p0 = f8, f0
707 nop.i 0 ;;
708 }
710 {.mmb
711 (p8) mov GR_Parameter_TAG = 159
712 (p8) setf.exp FR_TS = GR_EM63
713 nop.b 999 ;;
714 }
716 {.mfb
717 nop.m 0
718 // pseudo-zero
719 (p7) mov f8 = f1
720 (p7) br.ret.sptk b0 ;;
721 }
723 {.mfi
724 nop.m 999
725 (p8) fma.s0 f8 = FR_TS, FR_TS, f0
726 nop.i 999
727 }
728 {.mii
729 nop.m 0
730 // underflow: p6 = 1
731 (p6) mov GR_EM63 = 1
732 nop.i 0 ;;
733 }
735 {.mmb
736 (p6) mov GR_Parameter_TAG = 160
737 (p6) setf.exp FR_TS = GR_EM63
738 nop.b 999 ;;
739 }
741 {.mfb
742 nop.m 999
743 (p6) fma.s0 f8 = FR_TS, FR_TS, f0
744 nop.b 0 ;;
745 }
748 GLOBAL_LIBM_END(exp2l)
751 LOCAL_LIBM_ENTRY(__libm_error_region)
752 .prologue
753 {.mfi
754 add GR_Parameter_Y = -32, sp // Parameter 2 value
755 nop.f 0
756 .save ar.pfs, GR_SAVE_PFS
757 mov GR_SAVE_PFS = ar.pfs // Save ar.pfs
758 }
759 {.mfi
760 .fframe 64
761 add sp = -64, sp // Create new stack
762 nop.f 0
763 mov GR_SAVE_GP = gp ;; // Save gp
764 }
766 {.mmi
767 stfe [ GR_Parameter_Y ] = FR_Y, 16 // STORE Parameter 2 on stack
768 add GR_Parameter_X = 16, sp // Parameter 1 address
769 .save b0, GR_SAVE_B0
770 mov GR_SAVE_B0 = b0 ;; // Save b0
771 }
773 .body
774 {.mib
775 stfe [ GR_Parameter_X ] = FR_X // STORE Parameter 1 on stack
776 add GR_Parameter_RESULT = 0, GR_Parameter_Y // Parameter 3 address
777 nop.b 0
778 }
779 {.mib
780 stfe [ GR_Parameter_Y ] = FR_RESULT // STORE Parameter 3 on stack
781 add GR_Parameter_Y = -16, GR_Parameter_Y
782 br.call.sptk b0 = __libm_error_support# ;; // Call error handling function
783 }
785 {.mmi
786 add GR_Parameter_RESULT = 48, sp
787 nop.m 0
788 nop.i 0 ;;
789 }
791 {.mmi
792 ldfe f8 = [ GR_Parameter_RESULT ] // Get return result off stack
793 .restore sp
794 add sp = 64, sp // Restore stack pointer
795 mov b0 = GR_SAVE_B0 ;; // Restore return address
796 }
798 {.mib
799 mov gp = GR_SAVE_GP // Restore gp
800 mov ar.pfs = GR_SAVE_PFS // Restore ar.pfs
801 br.ret.sptk b0 ;; // Return
802 }
805 LOCAL_LIBM_END(__libm_error_region)
806 .type __libm_error_support#, @function
807 .global __libm_error_support#