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1/*
2Copyright (c) 2014, Intel Corporation
3All rights reserved.
4
5Redistribution and use in source and binary forms, with or without
6modification, are permitted provided that the following conditions are met:
7
8    * Redistributions of source code must retain the above copyright notice,
9    * this list of conditions and the following disclaimer.
10
11    * Redistributions in binary form must reproduce the above copyright notice,
12    * this list of conditions and the following disclaimer in the documentation
13    * and/or other materials provided with the distribution.
14
15    * Neither the name of Intel Corporation nor the names of its contributors
16    * may be used to endorse or promote products derived from this software
17    * without specific prior written permission.
18
19THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
20ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
21WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
22DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
23ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
24(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
25LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
26ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
27(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
28SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
29*/
30
31/******************************************************************************/
32//                     ALGORITHM DESCRIPTION
33//                     ---------------------
34//
35//    Let x=2^k * mx, mx in [1,2)
36//
37//    Get B~1/mx based on the output of rcpps instruction (B0)
38//    B = int((B0*2^7+0.5))/2^7
39//
40//    Reduced argument: r=B*mx-1.0 (computed accurately in high and low parts)
41//
42//    Result:  k*log(2) - log(B) + p(r)
43//             p(r) is a degree 7 polynomial
44//             -log(B) read from data table (high, low parts)
45//             Result is formed from high and low parts
46//
47// Special cases:
48//   log1p(NaN) = quiet NaN, and raise invalid exception
49//   log1p(+INF) = that INF
50//   log1p(x) = NaN if x < -1 or x = -INF, and raises invalid exception
51//   log1p(-1) = -INF, and raises divide-by-zero exception
52//   log1p(+/-0) = +/-0
53//
54/******************************************************************************/
55
56#include <private/bionic_asm.h>
57# -- Begin  static_func
58        .text
59        .align __bionic_asm_align
60        .type static_func, @function
61static_func:
62..B1.1:
63        call      ..L2
64..L2:
65        popl      %eax
66        lea       _GLOBAL_OFFSET_TABLE_+[. - ..L2](%eax), %eax
67        lea       static_const_table@GOTOFF(%eax), %eax
68        ret
69        .size   static_func,.-static_func
70# -- End  static_func
71
72# -- Begin  log1p
73ENTRY(log1p)
74# parameter 1: 8 + %ebp
75..B2.1:
76..B2.2:
77        pushl     %ebp
78        movl      %esp, %ebp
79        subl      $104, %esp
80        movl      %ebx, 40(%esp)
81        call      static_func
82        movl      %eax, %ebx
83        movsd     112(%esp), %xmm0
84        xorpd     %xmm2, %xmm2
85        movl      $16368, %eax
86        pinsrw    $3, %eax, %xmm2
87        xorpd     %xmm3, %xmm3
88        movl      $32768, %ecx
89        movd      %ecx, %xmm4
90        movsd     2128(%ebx), %xmm5
91        pshufd    $68, %xmm0, %xmm7
92        movapd    %xmm2, %xmm6
93        pextrw    $3, %xmm0, %ecx
94        addsd     %xmm2, %xmm0
95        movapd    %xmm0, %xmm1
96        pextrw    $3, %xmm0, %eax
97        subsd     %xmm0, %xmm6
98        orpd      %xmm2, %xmm0
99        psllq     $5, %xmm0
100        psrlq     $34, %xmm0
101        subl      $16, %eax
102        cmpl      $32736, %eax
103        jae       .L_2TAG_PACKET_0.0.2
104        addsd     %xmm6, %xmm7
105        rcpss     %xmm0, %xmm0
106        psllq     $12, %xmm1
107        pshufd    $228, %xmm5, %xmm6
108        psrlq     $12, %xmm1
109        andl      $32752, %ecx
110        cmpl      $16256, %ecx
111        jb        .L_2TAG_PACKET_1.0.2
112        andl      $32752, %eax
113        movl      $32720, %ecx
114        subl      %eax, %ecx
115        pinsrw    $3, %ecx, %xmm3
116.L_2TAG_PACKET_2.0.2:
117        mulsd     %xmm3, %xmm7
118        paddd     %xmm4, %xmm0
119        xorpd     %xmm4, %xmm4
120        movl      $14336, %ecx
121        pinsrw    $3, %ecx, %xmm4
122        orpd      %xmm2, %xmm1
123        movd      %xmm0, %edx
124        psllq     $29, %xmm0
125        andpd     %xmm1, %xmm5
126        andpd     %xmm6, %xmm0
127        subsd     %xmm5, %xmm1
128        paddd     %xmm4, %xmm0
129        mulsd     %xmm0, %xmm5
130        movl      $16352, %ecx
131        subl      %ecx, %eax
132        cvtsi2sdl %eax, %xmm4
133        mulsd     %xmm0, %xmm7
134        mulsd     %xmm0, %xmm1
135        movsd     2064(%ebx), %xmm6
136        movapd    2080(%ebx), %xmm3
137        subsd     %xmm2, %xmm5
138        andl      $16711680, %edx
139        shrl      $12, %edx
140        movapd    (%ebx,%edx), %xmm0
141        movapd    2096(%ebx), %xmm2
142        addsd     %xmm5, %xmm1
143        movapd    %xmm1, %xmm5
144        addsd     %xmm7, %xmm1
145        subsd     %xmm1, %xmm5
146        addsd     %xmm5, %xmm7
147        mulsd     %xmm4, %xmm6
148        mulsd     2072(%ebx), %xmm4
149        mulsd     %xmm1, %xmm3
150        pshufd    $68, %xmm1, %xmm5
151        addsd     %xmm6, %xmm0
152        mulpd     %xmm5, %xmm2
153        mulpd     %xmm5, %xmm5
154        pshufd    $228, %xmm0, %xmm6
155        addsd     %xmm1, %xmm0
156        addpd     2112(%ebx), %xmm2
157        mulpd     %xmm5, %xmm3
158        subsd     %xmm0, %xmm6
159        mulsd     %xmm1, %xmm2
160        addsd     %xmm7, %xmm4
161        mulsd     %xmm1, %xmm7
162        addsd     %xmm6, %xmm1
163        pshufd    $238, %xmm0, %xmm6
164        mulsd     %xmm5, %xmm5
165        addsd     %xmm6, %xmm4
166        subsd     %xmm7, %xmm1
167        addpd     %xmm3, %xmm2
168        addsd     %xmm4, %xmm1
169        mulpd     %xmm5, %xmm2
170        addsd     %xmm2, %xmm1
171        pshufd    $238, %xmm2, %xmm5
172        addsd     %xmm5, %xmm1
173        addsd     %xmm1, %xmm0
174        jmp       .L_2TAG_PACKET_3.0.2
175.L_2TAG_PACKET_0.0.2:
176        movsd     112(%esp), %xmm0
177        movapd    %xmm0, %xmm1
178        addl      $16, %eax
179        cmpl      $32768, %eax
180        jae       .L_2TAG_PACKET_4.0.2
181        cmpl      $0, %eax
182        je        .L_2TAG_PACKET_5.0.2
183.L_2TAG_PACKET_6.0.2:
184        addsd     %xmm0, %xmm0
185        jmp       .L_2TAG_PACKET_3.0.2
186.L_2TAG_PACKET_7.0.2:
187        ja        .L_2TAG_PACKET_6.0.2
188        cmpl      $0, %edx
189        ja        .L_2TAG_PACKET_6.0.2
190        jmp       .L_2TAG_PACKET_8.0.2
191.L_2TAG_PACKET_4.0.2:
192        movd      %xmm1, %edx
193        psrlq     $32, %xmm1
194        movd      %xmm1, %ecx
195        addl      %ecx, %ecx
196        cmpl      $-2097152, %ecx
197        jae       .L_2TAG_PACKET_7.0.2
198        orl       %ecx, %edx
199        cmpl      $0, %edx
200        je        .L_2TAG_PACKET_5.0.2
201.L_2TAG_PACKET_8.0.2:
202        xorpd     %xmm1, %xmm1
203        xorpd     %xmm0, %xmm0
204        movl      $32752, %eax
205        pinsrw    $3, %eax, %xmm1
206        movl      $141, %edx
207        mulsd     %xmm1, %xmm0
208.L_2TAG_PACKET_9.0.2:
209        movsd     %xmm0, (%esp)
210        movsd     112(%esp), %xmm0
211        fldl      (%esp)
212        jmp       .L_2TAG_PACKET_10.0.2
213.L_2TAG_PACKET_5.0.2:
214        xorpd     %xmm1, %xmm1
215        xorpd     %xmm0, %xmm0
216        movl      $49136, %eax
217        pinsrw    $3, %eax, %xmm0
218        divsd     %xmm1, %xmm0
219        movl      $140, %edx
220        jmp       .L_2TAG_PACKET_9.0.2
221.L_2TAG_PACKET_1.0.2:
222        movsd     112(%esp), %xmm0
223        cmpl      $15504, %ecx
224        jb        .L_2TAG_PACKET_11.0.2
225        movapd    2144(%ebx), %xmm1
226        pshufd    $68, %xmm0, %xmm0
227        movapd    2160(%ebx), %xmm2
228        pshufd    $68, %xmm0, %xmm4
229        movapd    2176(%ebx), %xmm3
230        mulpd     %xmm0, %xmm1
231        xorpd     %xmm6, %xmm6
232        mulpd     %xmm4, %xmm4
233        addpd     %xmm2, %xmm1
234        pshufd    $68, %xmm4, %xmm5
235        mulpd     %xmm0, %xmm4
236        movl      $49120, %eax
237        pinsrw    $3, %eax, %xmm6
238        mulpd     %xmm0, %xmm1
239        mulsd     %xmm4, %xmm4
240        addpd     %xmm3, %xmm1
241        mulsd     %xmm6, %xmm5
242        mulpd     %xmm4, %xmm1
243        pshufd    $238, %xmm1, %xmm7
244        addsd     %xmm7, %xmm1
245        addsd     %xmm5, %xmm1
246        addsd     %xmm1, %xmm0
247        jmp       .L_2TAG_PACKET_3.0.2
248.L_2TAG_PACKET_11.0.2:
249        cmpl      $16, %ecx
250        jb        .L_2TAG_PACKET_12.0.2
251        jmp       .L_2TAG_PACKET_3.0.2
252.L_2TAG_PACKET_12.0.2:
253        movapd    %xmm0, %xmm1
254        mulsd     %xmm1, %xmm1
255        jmp       .L_2TAG_PACKET_3.0.2
256.L_2TAG_PACKET_3.0.2:
257        movsd     %xmm0, 24(%esp)
258        fldl      24(%esp)
259.L_2TAG_PACKET_10.0.2:
260        movl      40(%esp), %ebx
261        movl      %ebp, %esp
262        popl      %ebp
263        ret
264..B2.3:
265END(log1p)
266# -- End  log1p
267
268# Start file scope ASM
269ALIAS_SYMBOL(log1pl, log1p);
270# End file scope ASM
271	.section .rodata, "a"
272	.align 16
273	.align 16
274static_const_table:
275	.long	4277811200
276	.long	1072049730
277	.long	2479318832
278	.long	1026487127
279	.long	2854492160
280	.long	1072033410
281	.long	215631550
282	.long	1025638968
283	.long	1547061248
284	.long	1072017216
285	.long	2886781435
286	.long	1026423395
287	.long	649825280
288	.long	1072001146
289	.long	4281533405
290	.long	1024038923
291	.long	646346752
292	.long	1071985198
293	.long	1562735921
294	.long	1023790276
295	.long	2203734016
296	.long	1071969370
297	.long	1838397691
298	.long	3173936209
299	.long	1872169984
300	.long	1071953661
301	.long	3981202460
302	.long	1022325013
303	.long	669557760
304	.long	1071938069
305	.long	4182597802
306	.long	3173174122
307	.long	4076413952
308	.long	1071922591
309	.long	1209029111
310	.long	3170736207
311	.long	556125184
312	.long	1071907228
313	.long	821086028
314	.long	3173437049
315	.long	204914688
316	.long	1071891976
317	.long	2097025986
318	.long	3171071798
319	.long	387545088
320	.long	1071876834
321	.long	3142936996
322	.long	3173092218
323	.long	2912783360
324	.long	1071861800
325	.long	2502420140
326	.long	1024505919
327	.long	1144260608
328	.long	1071846874
329	.long	3315658140
330	.long	3173469843
331	.long	1471209472
332	.long	1071832053
333	.long	129621009
334	.long	3172443877
335	.long	1829683200
336	.long	1071817336
337	.long	3885467693
338	.long	1025535275
339	.long	288676864
340	.long	1071802722
341	.long	86139472
342	.long	3171639793
343	.long	3636378624
344	.long	1071788208
345	.long	1850238587
346	.long	1024654342
347	.long	1606817792
348	.long	1071773795
349	.long	3388899795
350	.long	3173675586
351	.long	1236164608
352	.long	1071759480
353	.long	3983599207
354	.long	1020046558
355	.long	1089616896
356	.long	1071745262
357	.long	4171974224
358	.long	1024773198
359	.long	4143093760
360	.long	1071731139
361	.long	2727587401
362	.long	3173965207
363	.long	600267776
364	.long	1071717112
365	.long	3147685042
366	.long	3173353031
367	.long	2249313280
368	.long	1071703177
369	.long	125835074
370	.long	1025255832
371	.long	3805303808
372	.long	1071689334
373	.long	2289991207
374	.long	1025460331
375	.long	87278592
376	.long	1071675583
377	.long	1106114045
378	.long	1025933602
379	.long	3195405312
380	.long	1071661920
381	.long	3885316576
382	.long	3171206239
383	.long	3853649920
384	.long	1071648346
385	.long	2977069852
386	.long	3171236771
387	.long	2944026624
388	.long	1071625048
389	.long	1008093493
390	.long	1023444474
391	.long	3993180160
392	.long	1071598247
393	.long	1862355595
394	.long	1024642533
395	.long	1454641152
396	.long	1071571617
397	.long	1514603089
398	.long	1026500596
399	.long	3286085632
400	.long	1071545154
401	.long	1400028424
402	.long	3173279056
403	.long	438773760
404	.long	1071518858
405	.long	120727864
406	.long	3172148914
407	.long	1212979200
408	.long	1071492725
409	.long	1625055594
410	.long	3172901933
411	.long	1189017600
412	.long	1071466754
413	.long	3920062376
414	.long	1025727407
415	.long	403064832
416	.long	1071440943
417	.long	1053271728
418	.long	3171391427
419	.long	3343210496
420	.long	1071415289
421	.long	3243395502
422	.long	3173627613
423	.long	1765777408
424	.long	1071389792
425	.long	2145968512
426	.long	1026354304
427	.long	461430784
428	.long	1071364449
429	.long	4094322285
430	.long	1026021467
431	.long	71706624
432	.long	1071339258
433	.long	763632021
434	.long	1024496933
435	.long	1380503552
436	.long	1071314217
437	.long	1383547992
438	.long	3173088453
439	.long	1015732224
440	.long	1071289325
441	.long	3198646877
442	.long	1025390322
443	.long	35977216
444	.long	1071264580
445	.long	2141026805
446	.long	1025754693
447	.long	3927306240
448	.long	1071239979
449	.long	282116272
450	.long	3173394334
451	.long	1125341184
452	.long	1071215523
453	.long	2768427504
454	.long	3172279059
455	.long	1666971648
456	.long	1071191208
457	.long	786837629
458	.long	3172427445
459	.long	2827694080
460	.long	1071167033
461	.long	3857122416
462	.long	3173014241
463	.long	2003683328
464	.long	1071142997
465	.long	859010954
466	.long	1026545007
467	.long	1004017664
468	.long	1071119098
469	.long	3356644970
470	.long	3173458064
471	.long	1753020416
472	.long	1071095334
473	.long	788338552
474	.long	1026157693
475	.long	1992718336
476	.long	1071071704
477	.long	1239179443
478	.long	1026394889
479	.long	3870234624
480	.long	1071048206
481	.long	2082614663
482	.long	1024926053
483	.long	1050437632
484	.long	1071024840
485	.long	660007840
486	.long	1025548499
487	.long	188395520
488	.long	1071001603
489	.long	3878792704
490	.long	3173889571
491	.long	3747176448
492	.long	1070978493
493	.long	144991708
494	.long	3171552042
495	.long	1405669376
496	.long	1070955511
497	.long	3999088879
498	.long	1025486317
499	.long	121151488
500	.long	1070932654
501	.long	2170865497
502	.long	1026473584
503	.long	2652319744
504	.long	1070909920
505	.long	453695652
506	.long	3173916809
507	.long	3262236672
508	.long	1070887309
509	.long	157800053
510	.long	3173984206
511	.long	601221120
512	.long	1070864820
513	.long	3968917661
514	.long	1023992886
515	.long	1999843328
516	.long	1070842450
517	.long	3053895004
518	.long	1024998228
519	.long	1992167424
520	.long	1070820199
521	.long	2968614856
522	.long	1024552653
523	.long	3788726272
524	.long	1070798065
525	.long	3542170808
526	.long	3173573242
527	.long	2094829568
528	.long	1070776048
529	.long	1246758132
530	.long	1026202874
531	.long	288675840
532	.long	1070754146
533	.long	3747328950
534	.long	1026331585
535	.long	1829681152
536	.long	1070732357
537	.long	3125197546
538	.long	1024100318
539	.long	1666869248
540	.long	1070710681
541	.long	1363656119
542	.long	1026336493
543	.long	3417110528
544	.long	1070689116
545	.long	4154791553
546	.long	1026267853
547	.long	2183653376
548	.long	1070667662
549	.long	1671819292
550	.long	3173785870
551	.long	1734434816
552	.long	1070646317
553	.long	373091049
554	.long	1025972363
555	.long	1615681536
556	.long	1070625080
557	.long	384650897
558	.long	1022926043
559	.long	1445382144
560	.long	1070603950
561	.long	344320330
562	.long	3172397196
563	.long	1823715328
564	.long	1070569756
565	.long	3389841200
566	.long	1025231852
567	.long	3839688704
568	.long	1070527917
569	.long	1706790417
570	.long	3167363349
571	.long	4293332992
572	.long	1070486286
573	.long	1614935088
574	.long	1019351591
575	.long	2966720512
576	.long	1070444861
577	.long	4145393717
578	.long	3173711658
579	.long	4066729984
580	.long	1070403639
581	.long	1974925028
582	.long	3171437182
583	.long	3337621504
584	.long	1070362619
585	.long	3314953170
586	.long	3169971314
587	.long	943448064
588	.long	1070321799
589	.long	1498682038
590	.long	3173862340
591	.long	1465634816
592	.long	1070281176
593	.long	1319952810
594	.long	3171693965
595	.long	1015734272
596	.long	1070240749
597	.long	1347821929
598	.long	3173544515
599	.long	118001664
600	.long	1070200516
601	.long	1751482746
602	.long	1026134093
603	.long	3707174912
604	.long	1070160474
605	.long	1486946159
606	.long	1023930920
607	.long	3946381312
608	.long	1070120623
609	.long	2867408081
610	.long	3171368276
611	.long	1699848192
612	.long	1070080961
613	.long	2590187139
614	.long	1025379803
615	.long	2235846656
616	.long	1070041485
617	.long	1888568069
618	.long	3172754960
619	.long	2339729408
620	.long	1070002194
621	.long	3852214753
622	.long	3173323149
623	.long	3196850176
624	.long	1069963086
625	.long	742141560
626	.long	1025101707
627	.long	1800683520
628	.long	1069924160
629	.long	3949500444
630	.long	3172102179
631	.long	3835801600
632	.long	1069885413
633	.long	3848895943
634	.long	1025913832
635	.long	2201202688
636	.long	1069846845
637	.long	1425913464
638	.long	1025868665
639	.long	2778279936
640	.long	1069808453
641	.long	2120889677
642	.long	3173831128
643	.long	2954203136
644	.long	1069770236
645	.long	592147081
646	.long	1019621288
647	.long	210141184
648	.long	1069732193
649	.long	3414275233
650	.long	1023647084
651	.long	709476352
652	.long	1069694321
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823	.type	static_const_table,@object
824	.size	static_const_table,2192
825	.data
826	.section .note.GNU-stack, ""
827# End
828