| blob | 20167797b82275e4bb8a7957db9b04d85562ef47 |
1 .file "cbrtf.asm"
3 // Copyright (C) 2000, 2001, Intel Corporation
4 // All rights reserved.
5 //
6 // Contributed 2/2/2000 by John Harrison, Cristina Iordache, Ted Kubaska,
7 // Bob Norin, Shane Story, and Ping Tak Peter Tang
8 // of the Computational Software Lab, Intel Corporation.
9 //
10 // Redistribution and use in source and binary forms, with or without
11 // modification, are permitted provided that the following conditions are
12 // met:
13 //
14 // * Redistributions of source code must retain the above copyright
15 // notice, this list of conditions and the following disclaimer.
16 //
17 // * Redistributions in binary form must reproduce the above copyright
18 // notice, this list of conditions and the following disclaimer in the
19 // documentation and/or other materials provided with the distribution.
20 //
21 // * The name of Intel Corporation may not be used to endorse or promote
22 // products derived from this software without specific prior written
23 // permission.
24 //
25 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
26 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
27 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
28 // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
29 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
30 // EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
31 // PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
32 // PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
33 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
34 // NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
35 // SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
36 //
37 // Intel Corporation is the author of this code, and requests that all
38 // problem reports or change requests be submitted to it directly at
39 // http://developer.intel.com/opensource.
40 //
41 // History
42 //==============================================================
43 // 2/02/00: Initial version
44 // 5/18/00: New version (modified algorithm)
45 //
46 // API
47 //==============================================================
48 // float cbrtf(float)
49 //
50 // Overview of operation
51 //==============================================================
52 // Background
53 //
54 // Implementation
55 //
56 // cbrt(a) = cbrt(a y) / cbrt(y)
57 // = cbrt(1 - (1 - a y)) * 1/cbrt(y)
58 //
59 // where y = frcpa(a).
60 //
61 // * cbrt(1 - (1 - a y)) is approximated by a degree-2 polynomial
62 //
63 // 1 - (1/3)*r - (1/9)*r^2
64 //
65 // in r = 1 - a y.
66 //
67 // * The values 1/cbrt(y) are stored in a table of constants T0
68 // to 64 bits of accuracy
69 //
70 // The table values are stored for three exponent values and are
71 // then multiplied by e/3 where e is the exponent of the input number.
72 // This computation is carried out in parallel with the polynomial
73 // evaluation:
74 //
75 // T = 2^(e/3) * T0
81 //===============
82 // input = x
83 // C = frcpa(x)
84 // r = 1 - C * x
85 //
86 // Special values
87 //==============================================================
91 // Registers used
92 //==============================================================
93 // f6-f15
94 // r2, r23-r26, r28-r30
95 // p6,p7,p8,p12
97 #include "libm_support.h"
99 // Data tables
100 //==============================================================
102 #ifdef _LIBC
103 .rodata
104 #else
105 .data
106 #endif
108 .align 16
110 poly_coeffs:
111 ASM_TYPE_DIRECTIVE(poly_coeffs,@object)
112 data8 0xaaaaaaaaaaaaaaab, 0x00003ffd // 1/3
113 data8 0xe38e38e38e38e38e, 0x00003ffb // 1/9
114 ASM_SIZE_DIRECTIVE(poly_coeffs)
117 T_table:
118 ASM_TYPE_DIRECTIVE(T_table,@object)
120 data8 0x80155c748c374836, 0xa160019ed37fb4ae
121 data8 0xcb51ddcb9e93095e, 0x8040404b0879f7f9
122 data8 0xa1960b5966da4608, 0xcb95f333968ad59b
123 data8 0x806b5dce4b405c10, 0xa1cc5dbe6dc2aab4
124 data8 0xcbda64292d3ffd97, 0x8096b586974669b1
125 data8 0xa202f97995b69c0d, 0xcc1f3184af961596
126 data8 0x80bcd273d952a028, 0xa232fe6eb0c0577d
127 data8 0xcc5bb1ac954d33e2, 0x80e898c52813f2f3
128 data8 0xa26a2582012f6e17, 0xcca12e9831fc6402
129 data8 0x81149add67c2d208, 0xa2a197e5d10465cb
130 data8 0xcce70a67b64f24ad, 0x813b4e2c856b6e9a
131 data8 0xa2d25a532efefbc8, 0xcd24794726477ea5
132 data8 0x8167c1dde03de7aa, 0xa30a5bd6e49e4ab8
133 data8 0xcd6b096a0b70ee87, 0x818ed973b811135e
134 data8 0xa33b9c9b59879e24, 0xcda9177738b15a90
135 data8 0x81bbc0c33e13ec98, 0xa3742fca6a3c1f21
136 data8 0xcdf05f2247dffab9, 0x81e33e69fbe7504a
137 data8 0xa3a5f1273887bf22, 0xce2f0f347f96f906
138 data8 0x820aec524e3c23e9, 0xa3d7ef508ff11574
139 data8 0xce6e0be0cd551a61, 0x823880f78e70b805
140 data8 0xa4115ce30548bc15, 0xceb666b2c347d1de
141 data8 0x826097a62a8e5200, 0xa443df0e53df577a
142 data8 0xcef609b0cb874f00, 0x8288dfe00e9b5eaf
143 data8 0xa4769fa5913c0ec3, 0xcf35fb5447e5c765
144 data8 0x82b15a10c5371624, 0xa4a99f303bc7def5
145 data8 0xcf763c47ee869f00, 0x82da06a527b18937
146 data8 0xa4dcde37779adf4b, 0xcfb6cd3888d71785
147 data8 0x8302e60b635ab394, 0xa5105d46152c938a
148 data8 0xcff7aed4fbfbb447, 0x832bf8b2feec2f0e
149 data8 0xa5441ce89825cb8d, 0xd038e1ce5167e3c6
150 data8 0x83553f0ce00e276b, 0xa5781dad3e54d899
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157 data8 0xd17a2ca133f78572, 0x8420a75f2f7b53c8
158 data8 0xa67864b0d432fda4, 0xd1bd4a80301c5715
159 data8 0x844510461ff14209, 0xa6a6444aa0243c0b
160 data8 0xd1f71682b2fa4575, 0x846fbd91b930bed2
161 data8 0xa6dc094d10f25792, 0xd23ad555f773f059
162 data8 0x84947e18234f3294, 0xa70a574cc02bba69
163 data8 0xd2752c7039a5bf73, 0x84bf92755825045a
164 data8 0xa7409e2af9549084, 0xd2b98ee008c06b59
165 data8 0x84e4ac0ee112ba51, 0xa76f5c64ca2cf13b
166 data8 0xd2f4735ffd700280, 0x8509ef44b86f20be
167 data8 0xa79e4f0babab5dc0, 0xd32f99ed6d9ac0e1
168 data8 0x85359d5d91768427, 0xa7d5579ae5164b85
169 data8 0xd374f0666c75d51c, 0x855b3bd5b7384357
170 data8 0xa804bd3c6fe61cc8, 0xd3b0a7d13618e4a1
171 data8 0x858104f0c415f79a, 0xa8345895e5250a5a
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183 data8 0x86bc00c49e9307e8, 0xa9c1335cae7446ba
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185 data8 0xa9ea8686f556f645, 0xd614b539c6194104
186 data8 0x870453c845acf90f, 0xaa1c52d17906bb19
187 data8 0xd6537310e224283f, 0x872c089a1e90342c
188 data8 0xaa4e59b046dab887, 0xd6927ab62244c917
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206 data8 0xac8d183fe3a2fbed, 0xd9669ca45b03c23e
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209 data8 0xace5830ad0c3f14b, 0xd9d602b19b100466
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213 data8 0x89abd8dd374a5d7b, 0xad747701e559ebcb
214 data8 0xda8a1eb87a491f6c, 0x89cf9b1dcd197fa0
215 data8 0xada184a47e9c7613, 0xdac2e230b91c3f84
216 data8 0x89f382a258ea79de, 0xadcec13ab0dda8ff
217 data8 0xdafbe0d0b66aea30, 0x8a178faf06648f29
218 data8 0xadfc2d1a5fd21ba8, 0xdb351b04a8fafced
219 data8 0x8a3bc288b3e1d18a, 0xae29c89a5053c33a
220 data8 0xdb6e9139e33cdd8e, 0x8a601b74f4d1f835
221 data8 0xae5794122b638df9, 0xdba843ded7151ea1
222 data8 0x8a849aba14274764, 0xae858fda8137ae0a
223 data8 0xdbe2336319b61fc8, 0x8aa9409f16cdbc9b
224 data8 0xaeb3bc4ccc56d3d1, 0xdc1c60376789fa68
225 data8 0x8ace0d6bbe2cb316, 0xaee219c374c09920
226 data8 0xdc56cacda82d0cd5, 0x8af301688ab33558
227 data8 0xaf10a899d3235fe7, 0xdc917398f2797814
228 data8 0x8b181cdebe6f3206, 0xaf3f692c341fe8b4
229 data8 0xdccc5b0d90a3e628, 0x8b3d60185fafcb7c
230 data8 0xaf6e5bd7db9ae6c2, 0xdd0781a10469f0f2
231 data8 0x8b62cb603bb2fad0, 0xaf9d80fb081cd91b
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233 data8 0xafc35ce063eb3787, 0xdd729ad01c69114d
234 data8 0x8ba68bf73ac74f39, 0xaff2ddcb5f28f03d
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237 data8 0x8bf26f31c534fca2, 0xb0527a919adbf58b
238 data8 0xde26eb69a0f0f111, 0x8c10f86e13a1a1f9
239 data8 0xb078f3ab1d701c65, 0xde576480262399bc
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241 data8 0xde943789645933c8, 0x8c5dc4c4f7706032
242 data8 0xb0d9b624d62ec856, 0xded14d58139a28af
243 data8 0x8c7cac3a8c42e3e0, 0xb100a5f53fb3c8e1
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245 data8 0xb131821882f5540a, 0xdf3feb44d723a713
246 data8 0x8cc29907fb951294, 0xb158bf8e4cb04055
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248 data8 0xb189fd69d56b238f, 0xdfaf66240e29cda8
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250 data8 0xdfe139cbf6e19bdc, 0x8d3075c4f20f04ee
251 data8 0xb1e32a8165b09832, 0xe01fc0fe94d9fc52
252 data8 0x8d5018a9d4de77d5, 0xb20b0678fc271eec
253 data8 0xe051f92ffcc0bd60, 0x8d77cc47dd143515
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258 data8 0x8ddfd80bc68c32ff, 0xb2c022ca12e55a16
259 data8 0xe1362890eb663139, 0x8e00197e1e7c88fe
260 data8 0xb2e8c6852c6b03f1, 0xe1695c7212aecbaa
261 data8 0x8e207859f77e20e7, 0xb3118f4eda9fe40f
262 data8 0xe19cbf0391bbbbe9, 0x8e40f4ce60c9f8e2
263 data8 0xb33a7d6268109ebe, 0xe1d050901c531e85
264 data8 0x8e69ba46cf2fde4d, 0xb36ddbc5ea70ec55
265 data8 0xe2110903b4f4047a, 0x8e8a7a00bd7ae63e
266 data8 0xb3971e9b39264023, 0xe2450559b4d80b6d
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269 data8 0xb3ea16ae3a6c905f, 0xe2ad8e2ac3c5b04b
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341 data8 0xbbb2c0d8703ae95d, 0xec7c27d21321c9f7
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360 data8 0x968999d9ad8d264e, 0xbdaa55addf1ae47d
361 data8 0xeef6a0da64a014ac, 0x96a8426705198795
362 data8 0xbdd0f63c36aa73f0, 0xef274ba72a07c811
363 data8 0x96c703fd64445ee5, 0xbdf7b6556d550a15
364 data8 0xef581e31a2c91260, 0x96e5dec0a7b4268d
365 data8 0xbe1e9626b1ffa96b, 0xef8918b2bc43aec6
366 data8 0x9704d2d4f59f79f3, 0xbe4595dd903e5371
367 data8 0xefba3b63d89d7cbf, 0x9723e05ebe91b9b0
368 data8 0xbe6cb5a7f14bc935, 0xefeb867ecffaa607
369 data8 0x97430782be323831, 0xbe93f5b41d047cf7
370 data8 0xf01cfa3df1b9c9fa, 0x97624865fc0df8bf
371 data8 0xbebb5630bae4c15f, 0xf04e96dc05b43e2d
372 data8 0x9781a32dcc640b2a, 0xbee2d74cd30a430c
373 data8 0xf0805c944d827454, 0x97a117ffd0f48e46
374 data8 0xbf0a7937cf38d981, 0xf0b24ba285c495cb
375 data8 0x97c0a701f9d263c9, 0xbf323c217be2bc8c
376 data8 0xf0e46442e76f6569, 0x97e0505a8637a036
377 data8 0xbf5a203a09342bbb, 0xf116a6b2291d7896
378 data8 0x97f57a9fb0b08c6e, 0xbf74cad1c14ebfc4
379 data8 0xf1383fa9e9b5b381, 0x9815503365914a9d
380 data8 0xbf9ce6a497a89f78, 0xf16ac84f90083b9b
381 data8 0x98354085054fd204, 0xbfc52428bec6e72f
382 data8 0xf19d7b686dcb03d7, 0x98554bbbf8a77902
383 data8 0xbfed838fddab024b, 0xf1d0593311db1757
384 data8 0x987571fffb7f94f6, 0xc016050c0420981a
385 data8 0xf20361ee8f1c711e, 0x9895b3791dd03c23
386 data8 0xc03ea8cfabddc330, 0xf23695da7de51d3f
387 data8 0x98ab43a5fc65d0c8, 0xc059d3cbd65ddbce
388 data8 0xf258d095e465cc35, 0x98cbb2d196bd713d
389 data8 0xc082b122a3c78c9d, 0xf28c4d0bfc982b34
390 data8 0x98ec3d9ec7b6f21a, 0xc0abb1499ae736c4
391 data8 0xf2bff55eb3f0ea71, 0x990ce436db5e8344
392 data8 0xc0d4d474c3aedaaf, 0xf2f3c9cf9884636e
393 data8 0x9922b8218160967a, 0xc0f054ca33eb3437
394 data8 0xf31670135ab9cc0f, 0x99438d686f75779d
395 data8 0xc119b2c67e600ed0, 0xf34a8e9f0b54cdfb
396 data8 0x99647eea131fa20b, 0xc1433453de2033ff
397 data8 0xf37ed9fa6b8add3f, 0x997a85045a47c6d0
398 data8 0xc15ef3e44e10032d, 0xf3a1cfe884ef6bb6
399 data8 0x999ba5f14f8add02, 0xc188b130431d80e6
400 data8 0xf3d66689dcc8e8d3, 0x99bce38b5465ecae
401 data8 0xc1b2929d6067730e, 0xf40b2ab069d5c96a
402 data8 0x99d31ca0887f30f9, 0xc1ce9268f31cc734
403 data8 0xf42e718b90c8bc16, 0x99f48a669c74c09e
404 data8 0xc1f8b0877c1b0c08, 0xf463822a0a3b4b00
405 data8 0x9a16154eb445c873, 0xc222f35a87b415ba
406 data8 0xf498c1076015faf8, 0x9a2c822ec198d667
407 data8 0xc23f3467349e5c88, 0xf4bc5a19a33990b5
408 data8 0x9a4e3e080cd91b78, 0xc269b4e40e088c01
409 data8 0xf4f1e6a7d6f5425f, 0x9a70177afe52322e
410 data8 0xc2945aac24daaf6e, 0xf527a232cf6be334
411 data8 0x9a86b8fa94eebe10, 0xc2b0de05e43c1d66
412 data8 0xf54b8ecdcda90851, 0x9aa8c42866ae2958
413 data8 0xc2dbc275e1229d09, 0xf5819949c7ad87b4
414 data8 0x9abf86f9e12fc45e, 0xc2f86fca9d80eeff
415 data8 0xf5a5bac9213b48a9, 0x9ae1c462fc05f49d
416 data8 0xc323938449a2587e, 0xf5dc1501f324a812
417 data8 0x9af8a8dc936b84d0, 0xc3406b40a538ed20
418 data8 0xf6006bee86b5589e, 0x9b1b19033be35730
419 data8 0xc36bcee8211d15e0, 0xf63716b2fa067fa4
420 data8 0x9b3da7daf04c2892, 0xc397593adf2ba366
421 data8 0xf66df22fb6132b9c, 0x9b54c2e4c8a9012b
422 data8 0xc3b475b6206155d5, 0xf6929fb98225deb1
423 data8 0x9b77854e6c661200, 0xc3e0410243b97383
424 data8 0xf6c9cd13021e3fea, 0x9b8ec2e678d56d2f
425 data8 0xc3fd890709833d37, 0xf6eeb177472cedae
426 data8 0x9ba60e6a5ca133b6, 0xc41ae295f7e7fa06
427 data8 0xf713abf4cb0b3afb, 0x9bc919ea66a151a4
428 data8 0xc44709f7bb8a4dd2, 0xf74b4d5333684ef1
429 data8 0x9be0887c09ef82bb, 0xc4648fb0e0bec4c1
430 data8 0xf7707f75a72f8e94, 0x9c03c8d5fffc3503
431 data8 0xc490f9a94695ba14, 0xf7a874b97927af44
432 data8 0x9c1b5ad21a81cbb9, 0xc4aeac0173b7d390
433 data8 0xf7cddf140aedf1d8, 0x9c3ed09216e9ca02
434 data8 0xc4db5941007aa853, 0xf806291bacb7f7a9
435 data8 0x9c568656c0423def, 0xc4f938aec206291a
436 data8 0xf82bcc43b92eafef, 0x9c7a320af242ce60
437 data8 0xc52629e899dfd622, 0xf8646bf0defb759e
438 data8 0x9c920bf7a8c01dc2, 0xc54436e44043b965
439 data8 0xf88a487dfc3ff5f7, 0x9ca9f475d98b159c
440 data8 0xc562563abf9ea07f, 0xf8b03c2b46cdc17f
441 data8 0x9ccdeca60e80b5f8, 0xc58fa7d1dc42921c
442 data8 0xf8e95541c152ae7a, 0x9ce5f9d4653d4902
443 data8 0xc5adf561b91e110a, 0xf90f832c2700c160
444 data8 0x9cfe15cb38bfdd8e, 0xc5cc5591bdbd82fa
445 data8 0xf935c88e0c7f419b, 0x9d225b983f6c1f96
446 data8 0xc5fa08f1ff20593c, 0xf96f5cd84fd86873
447 data8 0x9d3a9cca32261ed7, 0xc618980a79ce6862
448 data8 0xf995dd53ebdd9d6d, 0x9d52ecfccebe1768
449 data8 0xc6373a09e34b50fa, 0xf9bc75a034436a41
450 data8 0x9d77818d95b82f86, 0xc66550a6e0baaf35
451 data8 0xf9f686f26d5518de, 0x9d8ff7893fa4706c
452 data8 0xc6842241926342c9, 0xfa1d5b39b910a8c5
453 data8 0x9da87cbef36f2a5e, 0xc6a3070b7c93bb9e
454 data8 0xfa4447acc4ecbfd2, 0x9dcd6140b4a35aeb
455 data8 0xc6d18260bb84081b, 0xfa7ed7e51e6fdfb4
456 data8 0x9de60cd06dc6e2d4, 0xc6f0977c9416828b
457 data8 0xfaa601394d49a1a0, 0x9dfec7d4cc43b76f
458 data8 0xc70fc0117c641630, 0xfacd431644ce0e40
459 data8 0x9e17925ec9fccc4a, 0xc72efc34d7e615be
460 data8 0xfaf49d96f7a75909, 0x9e3cdf6db57dc075
461 data8 0xc75dfb441594141e, 0xfb2fd3c65e562fd5
462 data8 0x9e55d110b63637a8, 0xc77d68aa019bda4c
463 data8 0xfb576c5762024805, 0x9e6ed27594550d2e
464 data8 0xc79ce9ea478dbc4f, 0xfb7f1debc22c4040
465 data8 0x9e87e3adc385d393, 0xc7bc7f1ae453219d
466 data8 0xfba6e89f32d0190a, 0x9ead9b54b37a1055
467 data8 0xc7ec0476e15e141a, 0xfbe2c803a0894893
468 data8 0x9ec6d46a3d7de215, 0xc80bcbe16f1d540f
469 data8 0xfc0ad1ff0ed9ecf0, 0x9ee01d9108be3154
470 data8 0xc82ba78a5d349735, 0xfc32f57bdfbcbe7f
471 data8 0x9ef976db07288d04, 0xc84b978847a06b87
472 data8 0xfc5b32968f99b21c, 0x9f12e05a4759ec25
473 data8 0xc86b9bf1ee817bc6, 0xfc83896bc861ab08
474 data8 0x9f2c5a20f4da6668, 0xc88bb4de3667cdf4
475 data8 0xfcabfa1861ed4815, 0x9f52af78ed1733ca
476 data8 0xc8bc00e7fe9e23a3, 0xfce8d3cea7d3163e
477 data8 0x9f6c52426a39d003, 0xc8dc4d7ff2d25232
478 data8 0xfd118595143ee273, 0x9f860593d42fd7f3
479 data8 0xc8fcaeebcb40eb47, 0xfd3a519943d4865a
480 data8 0x9f9fc97fdb96bd51, 0xc91d25431426a663
481 data8 0xfd6337f8e1ae5a4b, 0x9fb99e194f4a7037
482 data8 0xc93db09d7fdb2949, 0xfd8c38d1c8e927eb
483 data8 0x9fd383731ca51db9, 0xc95e5112e721582a
484 data8 0xfdb5544205095a53, 0x9fed79a04fbf9423
485 data8 0xc97f06bb49787677, 0xfdde8a67d2613531
486 data8 0xa00780b413b24ee8, 0xc99fd1aecd6e1b06
487 data8 0xfe07db619e781611, 0xa02eab2c4474b0cd
488 data8 0xc9d12a3e27bb1625, 0xfe460768d80bf758
489 data8 0xa048dcd51ccfd142, 0xc9f22ad82ba3d5f0
490 data8 0xfe6f9bfb06cd32f6, 0xa0631fa894b11b8d
491 data8 0xca134113105e67b2, 0xfe994bcd3d14fcc2
492 data8 0xa07d73ba65e680af, 0xca346d07b045a876
493 data8 0xfec316fecaf3f2ab, 0xa097d91e6aaf71b0
494 data8 0xca55aecf0e94bb88, 0xfeecfdaf33fadb80
495 data8 0xa0b24fe89e02602f, 0xca77068257be9bab
496 data8 0xff16fffe2fa8fad6, 0xa0ccd82d1bd2f68b
497 data8 0xca98743ae1c693a8, 0xff411e0ba9db886d
498 data8 0xa0e77200215909e6, 0xcab9f8122c99a101
499 data8 0xff6b57f7c33e4e9a, 0xa1021d760d584855
500 data8 0xcadb9221e268c3b5, 0xff95ade2d1bd7358
501 data8 0xa11cdaa36068a57d, 0xcafd4283d8043dfd
502 data8 0xffc01fed60f86fb5, 0xa137a99cbd3f880b
503 data8 0xcb1f09520d37c6fb, 0xffeaae3832b63956
504 ASM_SIZE_DIRECTIVE(T_table)
511 .align 32
512 .global cbrtf#
514 .section .text
515 .proc cbrtf#
516 .align 32
517 cbrtf:
520 { .mfi
521 getf.sig r28=f8
522 // will continue only for normal/denormal numbers
523 (p0) fclass.nm.unc p12,p7 = f8, 0x1b
524 // r2 = pointer to C_1,C_2 followed by T_table
525 addl r2 = @ltoff(poly_coeffs), gp
526 }
527 {.mfi
528 // r29=bias-((2^8-1)/3) -63=0xffff-0x55-0x3f=0xff6b
529 mov r29=0xff6b
530 // normalize a
531 fma.s1 f14=f8,f1,f0
532 nop.i 0;;
533 }
534 {.mib
535 nop.m 0
536 (p7) cmp.eq p12,p0=r28,r0
537 nop.b 0;;
538 }
539 {.mfb
540 // load start address for C_1,C_2 followed by T_table
541 ld8 r2=[r2]
542 (p12) fma.s.s0 f8=f8,f1,f0
543 (p12) br.ret.spnt b0;;
544 }
545 {.mmf
546 // load C_1
547 ldfe f7=[r2],16
548 nop.m 0
549 // y=frcpa(a)
550 frcpa.s0 f8,p6=f1,f8;;
551 }
552 {.mmi
553 // load C_2
554 ldfe f9=[r2],16
555 // r28=bias-(2^8-1)
556 mov r28=0xff00
557 nop.i 0;;
558 }
559 {.mmi
560 // get normalized significand
561 getf.sig r23=f14
562 // get exponent
563 getf.exp r24=f14
564 mov r25=0x20000;;
565 }
566 {.mii
567 // get r26=sign
568 and r26=r24,r25
569 // eliminate leading 1 from r23=1st table index
570 shl r23=r23,1
571 // eliminate sign from exponent (r25)
572 andcm r25=r24,r25;;
573 }
574 {.mfi
575 // subtract bias from r25=exponent
576 sub r25=r25,r28
577 // r=1-a*y
578 (p6) fnma.s1 f6=f8,f14,f1
579 // r23=1st table index (y_index8 bits)
580 shr.u r23=r23,56;;
581 }
582 {.mii
583 // 1: exponent*=5; // (2^{16}-1)/3=0x5555
584 shladd r24=r25,2,r25
585 // r23=3*y_index
586 shladd r23=r23,1,r23;;
587 // r30=(5*expon)*16+5*expon=(0x55)*expon
588 shladd r30=r24,4,r24;;
589 }
590 {.mmi
591 // adjust T_table pointer by 1st index
592 shladd r2=r23,3,r2;;
593 // f10=T[0][y]
594 (p6) ldf8 f10=[r2],8
595 // r24=(0x5500)*expon
596 shl r24=r30,8;;
597 }
598 {.mfi
599 // f11=T[1][y]
600 (p6) ldf8 f11=[r2],8
601 // P_1=C_1+C_2*r
602 (p6) fma.s1 f7=f9,f6,f7
603 // r24=(0x5555)*expon
604 add r24=r24,r30;;
605 }
606 {.mmi
607 // r24=(0x5556)*expon // 0x5556=(2^{16}+2)/3
608 add r24=r24,r25;;
609 // f8=T[2][y]
610 (p6) ldf8 f8=[r2]
611 // r24=floor(expon/3)
612 shr r24=r24,16;;
613 }
614 {.mmi
615 nop.m 0
616 // r28=3*exponent
617 shladd r28=r24,1,r24
618 // bias exponent
619 add r24=r29,r24;;
620 }
621 {.mmi
622 // get remainder of exponent/3
623 sub r25=r25,r28
624 // add sign to exponent
625 or r24=r24,r26
626 nop.i 0;;
627 }
628 {.mfi
629 nop.m 0
630 // P_2=-r*P_1
631 (p6) fnma.s1 f6=f7,f6,f0
632 // remainder=0 ?
633 (p6) cmp.eq.unc p7,p8=r0,r25;;
634 }
635 {.mfi
636 // f14=sign*2^{exponent/3}
637 (p6) setf.exp f14=r24
638 nop.f 0
639 // remainder = 1 ?
640 (p8) cmp.eq.unc p8,p12=1,r25;;
641 }
642 .pred.rel "mutex",p7,p8
643 {.mfi
644 nop.m 0
645 // remainder=0 -> use T=f10
646 (p7) fma.s1 f8=f10,f6,f10
647 nop.i 0
648 }
649 {.mfi
650 nop.m 0
651 // remainder =1 -> use f11
652 (p8) fma.s1 f8=f11,f6,f11
653 nop.i 0;;
654 }
655 {.mfi
656 nop.m 0
657 // result=T+T*P_2
658 (p12) fma.s.s0 f8=f8,f6,f8
659 nop.i 0;;
660 }
661 {.mfb
662 nop.m 0
663 // T*=sgn*2^{expon/3}
664 (p6) fma.s.s0 f8=f8,f14,f0
665 br.ret.sptk b0;;
666 }
667 .endp cbrtf
668 ASM_SIZE_DIRECTIVE(cbrtf)