summaryrefslogtreecommitdiff
path: root/sysdeps/ia64/fpu/e_atanhf.S
blob: 1ec1408e35576930b266aa801867656f9186db8e (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
.file "atanhf.s"


// Copyright (c) 2000 - 2003, Intel Corporation
// All rights reserved.
//
// Contributed 2000 by the Intel Numerics Group, Intel Corporation
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are
// met:
//
// * Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
//
// * Redistributions in binary form must reproduce the above copyright
// notice, this list of conditions and the following disclaimer in the
// documentation and/or other materials provided with the distribution.
//
// * The name of Intel Corporation may not be used to endorse or promote
// products derived from this software without specific prior written
// permission.

// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
//
// Intel Corporation is the author of this code, and requests that all
// problem reports or change requests be submitted to it directly at
// http://www.intel.com/software/products/opensource/libraries/num.htm.
//
// History
//==============================================================
// 05/22/01 Initial version
// 05/20/02 Cleaned up namespace and sf0 syntax
// 08/06/02 Improved Itanium 2 performance
// 02/06/03 Reordered header: .section, .global, .proc, .align
// 05/26/03 Improved performance, fixed to handle unorms
//
// API
//==============================================================
// float atanhf(float)
//
// Overview of operation
//==============================================================
// Background
//
//
// There are 7 paths:
// 1. x = +/-0.0
//    Return atanhf(x) = +/-0.0
//
// 2. 0.0 < |x| <= MAX_DENORMAL_ABS
//    Return atanhf(x) = x + sign(x)*x^2
//
// 3. MAX_DENORMAL_ABS < |x| < 2^(-20)
//    Return atanhf(x) = Pol3(x), where Pol3(x) = x + x^3
//
// 4. 2^(-20) <= |x| < 1
//    Return atanhf(x) = 0.5 * (log(1 + x) - log(1 - x))
//    Algorithm description for log function see below.
//
// 5. |x| = 1
//    Return atanhf(x) = sign(x) * +INF
//
// 6. 1 < |x| <= +INF
//    Return atanhf(x) = QNaN
//
// 7. x = [S,Q]NaN
//    Return atanhf(x) = QNaN
//
//==============================================================
// Algorithm Description for log(x) function
//
// Consider  x = 2^N * 1.f1 f2 f3 f4...f63
// log(x) = log(x * frcpa(x) / frcpa(x))
//        = log(x * frcpa(x)) + log(1/frcpa(x))
//        = log(x * frcpa(x)) - log(frcpa(x))
//
// frcpa(x) = 2^(-N) * frcpa(1.f1 f2 ... f63)
//
// -log(frcpa(x)) = -log(C)
//                = -log(2^(-N)) - log(frcpa(1.f1 f2 ... f63))
//
// -log(frcpa(x)) = -log(C)
//                = N*log2 - log(frcpa(1.f1 f2 ... f63))
//
//
// log(x) = log(1/frcpa(x)) + log(frcpa(x) x)
//
// log(x) = N*log2 + log(1./frcpa(1.f1 f2 ... f63)) + log(x * frcpa(x))
// log(x) = N*log2 + T                              + log(frcpa(x) x)
//
// Log(x) = N*log2 + T                              + log(C * x)
//
// C * x = 1 + r
//
// log(x) = N*log2 + T + log(1 + r)
// log(x) = N*log2 + T + Series(r)
//
// 1.f1 f2 ... f8 has 256 entries.
// They are 1 + k/2^8, k = 0 ... 255
// These 256 values are the table entries.
//
// Implementation
//==============================================================
// C = frcpa(x)
// r = C * x - 1
//
// Form rseries = r + P1*r^2 + P2*r^3 + P3*r^4
//
// x = f * 2*N where f is 1.f_1f_2f_3...f_63
// Nfloat = float(n)  where n is the true unbiased exponent
// pre-index = f_1f_2....f_8
// index = pre_index * 16
// get the dxt table entry at index + offset = T
//
// result = (T + Nfloat * log(2)) + rseries
//
// The T table is calculated as follows
// Form x_k = 1 + k/2^8 where k goes from 0... 255
//      y_k = frcpa(x_k)
//      log(1/y_k)  in quad and round to double-extended

// Registers used
//==============================================================
// Floating Point registers used:
// f8, input
// f32 -> f59

// General registers used:
// r14 -> r29, r32 -> r39

// Predicate registers used:
// p6 -> p9

// p6           to filter out case when |x| >= 1
// p7           to filter out case when x = [Q,S]NaN or +/-0
// p8           to filter out case when |x| < 2^(-20)
// p9           to filter out case when x = denormal


// Assembly macros
//==============================================================
DataPtr               = r14
RcpTablePtrM          = r15
RcpTablePtrP          = r16
rExpbMask             = r17
rBias                 = r18
rNearZeroBound        = r19
rArgSExpb             = r20
rArgExpb              = r21
rExpbm                = r22
rExpbp                = r23
rSigm                 = r24
rSigp                 = r25
rNm                   = r26
rNp                   = r27
rIndm                 = r28
rIndp                 = r29

GR_SAVE_B0            = r33
GR_SAVE_GP            = r34
GR_SAVE_PFS           = r35

GR_Parameter_X        = r36
GR_Parameter_Y        = r37
GR_Parameter_RESULT   = r38
atanh_GR_tag          = r39

//==============================================================
fOneMx                = f33
fOnePx                = f34
fRm2                  = f35
fRm3                  = f36
fRp2                  = f37
fRp3                  = f38
fRcpM                 = f39
fRcpP                 = f40
fRp                   = f41
fRm                   = f42
fN4CvtM               = f43
fN4CvtP               = f44
fNm                   = f45
fNp                   = f46
fLogTm                = f47
fLogTp                = f48
fLog2                 = f49
fArgAbs               = f50
fNormX                = f50
fP32m                 = f51
fP32p                 = f52
fP10m                 = f53
fP10p                 = f54
fX2                   = f55
fP3                   = f56
fP2                   = f57
fP1                   = f58
fHalf                 = f59



// Data tables
//==============================================================

RODATA

.align 16

LOCAL_OBJECT_START(atanhf_data)
data8 0xbfc0001008f39d59    // P3*0.5
data8 0x3fc5556073e0c45a    // P2*0.5
data8 0xbfcffffffffaea15    // P1*0.5
data8 0x3fe0000000000000    // 0.5
data8 0x3fd62e42fefa39ef    // 0.5*ln(2)
data8 0x0000000000000000    // pad
LOCAL_OBJECT_END(atanhf_data)

LOCAL_OBJECT_START(atanhf_data2)
data8 0x3f50040155d5889e    //log(1/frcpa(1+0/256))/2
data8 0x3f68121214586b54    //log(1/frcpa(1+1/256))/2
data8 0x3f741929f96832f0    //log(1/frcpa(1+2/256))/2
data8 0x3f7c317384c75f06    //log(1/frcpa(1+3/256))/2
data8 0x3f81a6b91ac73386    //log(1/frcpa(1+4/256))/2
data8 0x3f85ba9a5d9ac039    //log(1/frcpa(1+5/256))/2
data8 0x3f89d2a8074325f4    //log(1/frcpa(1+6/256))/2
data8 0x3f8d6b2725979802    //log(1/frcpa(1+7/256))/2
data8 0x3f90c58fa19dfaaa    //log(1/frcpa(1+8/256))/2
data8 0x3f92954c78cbce1b    //log(1/frcpa(1+9/256))/2
data8 0x3f94a94d2da96c56    //log(1/frcpa(1+10/256))/2
data8 0x3f967c94f2d4bb58    //log(1/frcpa(1+11/256))/2
data8 0x3f985188b630f068    //log(1/frcpa(1+12/256))/2
data8 0x3f9a6b8abe73af4c    //log(1/frcpa(1+13/256))/2
data8 0x3f9c441e06f72a9e    //log(1/frcpa(1+14/256))/2
data8 0x3f9e1e6713606d07    //log(1/frcpa(1+15/256))/2
data8 0x3f9ffa6911ab9301    //log(1/frcpa(1+16/256))/2
data8 0x3fa0ec139c5da601    //log(1/frcpa(1+17/256))/2
data8 0x3fa1dbd2643d190b    //log(1/frcpa(1+18/256))/2
data8 0x3fa2cc7284fe5f1c    //log(1/frcpa(1+19/256))/2
data8 0x3fa3bdf5a7d1ee64    //log(1/frcpa(1+20/256))/2
data8 0x3fa4b05d7aa012e0    //log(1/frcpa(1+21/256))/2
data8 0x3fa580db7ceb5702    //log(1/frcpa(1+22/256))/2
data8 0x3fa674f089365a7a    //log(1/frcpa(1+23/256))/2
data8 0x3fa769ef2c6b568d    //log(1/frcpa(1+24/256))/2
data8 0x3fa85fd927506a48    //log(1/frcpa(1+25/256))/2
data8 0x3fa9335e5d594989    //log(1/frcpa(1+26/256))/2
data8 0x3faa2b0220c8e5f5    //log(1/frcpa(1+27/256))/2
data8 0x3fab0004ac1a86ac    //log(1/frcpa(1+28/256))/2
data8 0x3fabf968769fca11    //log(1/frcpa(1+29/256))/2
data8 0x3faccfedbfee13a8    //log(1/frcpa(1+30/256))/2
data8 0x3fada727638446a2    //log(1/frcpa(1+31/256))/2
data8 0x3faea3257fe10f7a    //log(1/frcpa(1+32/256))/2
data8 0x3faf7be9fedbfde6    //log(1/frcpa(1+33/256))/2
data8 0x3fb02ab352ff25f4    //log(1/frcpa(1+34/256))/2
data8 0x3fb097ce579d204d    //log(1/frcpa(1+35/256))/2
data8 0x3fb1178e8227e47c    //log(1/frcpa(1+36/256))/2
data8 0x3fb185747dbecf34    //log(1/frcpa(1+37/256))/2
data8 0x3fb1f3b925f25d41    //log(1/frcpa(1+38/256))/2
data8 0x3fb2625d1e6ddf57    //log(1/frcpa(1+39/256))/2
data8 0x3fb2d1610c86813a    //log(1/frcpa(1+40/256))/2
data8 0x3fb340c59741142e    //log(1/frcpa(1+41/256))/2
data8 0x3fb3b08b6757f2a9    //log(1/frcpa(1+42/256))/2
data8 0x3fb40dfb08378003    //log(1/frcpa(1+43/256))/2
data8 0x3fb47e74e8ca5f7c    //log(1/frcpa(1+44/256))/2
data8 0x3fb4ef51f6466de4    //log(1/frcpa(1+45/256))/2
data8 0x3fb56092e02ba516    //log(1/frcpa(1+46/256))/2
data8 0x3fb5d23857cd74d5    //log(1/frcpa(1+47/256))/2
data8 0x3fb6313a37335d76    //log(1/frcpa(1+48/256))/2
data8 0x3fb6a399dabbd383    //log(1/frcpa(1+49/256))/2
data8 0x3fb70337dd3ce41b    //log(1/frcpa(1+50/256))/2
data8 0x3fb77654128f6127    //log(1/frcpa(1+51/256))/2
data8 0x3fb7e9d82a0b022d    //log(1/frcpa(1+52/256))/2
data8 0x3fb84a6b759f512f    //log(1/frcpa(1+53/256))/2
data8 0x3fb8ab47d5f5a310    //log(1/frcpa(1+54/256))/2
data8 0x3fb91fe49096581b    //log(1/frcpa(1+55/256))/2
data8 0x3fb981634011aa75    //log(1/frcpa(1+56/256))/2
data8 0x3fb9f6c407089664    //log(1/frcpa(1+57/256))/2
data8 0x3fba58e729348f43    //log(1/frcpa(1+58/256))/2
data8 0x3fbabb55c31693ad    //log(1/frcpa(1+59/256))/2
data8 0x3fbb1e104919efd0    //log(1/frcpa(1+60/256))/2
data8 0x3fbb94ee93e367cb    //log(1/frcpa(1+61/256))/2
data8 0x3fbbf851c067555f    //log(1/frcpa(1+62/256))/2
data8 0x3fbc5c0254bf23a6    //log(1/frcpa(1+63/256))/2
data8 0x3fbcc000c9db3c52    //log(1/frcpa(1+64/256))/2
data8 0x3fbd244d99c85674    //log(1/frcpa(1+65/256))/2
data8 0x3fbd88e93fb2f450    //log(1/frcpa(1+66/256))/2
data8 0x3fbdedd437eaef01    //log(1/frcpa(1+67/256))/2
data8 0x3fbe530effe71012    //log(1/frcpa(1+68/256))/2
data8 0x3fbeb89a1648b971    //log(1/frcpa(1+69/256))/2
data8 0x3fbf1e75fadf9bde    //log(1/frcpa(1+70/256))/2
data8 0x3fbf84a32ead7c35    //log(1/frcpa(1+71/256))/2
data8 0x3fbfeb2233ea07cd    //log(1/frcpa(1+72/256))/2
data8 0x3fc028f9c7035c1c    //log(1/frcpa(1+73/256))/2
data8 0x3fc05c8be0d9635a    //log(1/frcpa(1+74/256))/2
data8 0x3fc085eb8f8ae797    //log(1/frcpa(1+75/256))/2
data8 0x3fc0b9c8e32d1911    //log(1/frcpa(1+76/256))/2
data8 0x3fc0edd060b78081    //log(1/frcpa(1+77/256))/2
data8 0x3fc122024cf0063f    //log(1/frcpa(1+78/256))/2
data8 0x3fc14be2927aecd4    //log(1/frcpa(1+79/256))/2
data8 0x3fc180618ef18adf    //log(1/frcpa(1+80/256))/2
data8 0x3fc1b50bbe2fc63b    //log(1/frcpa(1+81/256))/2
data8 0x3fc1df4cc7cf242d    //log(1/frcpa(1+82/256))/2
data8 0x3fc214456d0eb8d4    //log(1/frcpa(1+83/256))/2
data8 0x3fc23ec5991eba49    //log(1/frcpa(1+84/256))/2
data8 0x3fc2740d9f870afb    //log(1/frcpa(1+85/256))/2
data8 0x3fc29ecdabcdfa04    //log(1/frcpa(1+86/256))/2
data8 0x3fc2d46602adccee    //log(1/frcpa(1+87/256))/2
data8 0x3fc2ff66b04ea9d4    //log(1/frcpa(1+88/256))/2
data8 0x3fc335504b355a37    //log(1/frcpa(1+89/256))/2
data8 0x3fc360925ec44f5d    //log(1/frcpa(1+90/256))/2
data8 0x3fc38bf1c3337e75    //log(1/frcpa(1+91/256))/2
data8 0x3fc3c25277333184    //log(1/frcpa(1+92/256))/2
data8 0x3fc3edf463c1683e    //log(1/frcpa(1+93/256))/2
data8 0x3fc419b423d5e8c7    //log(1/frcpa(1+94/256))/2
data8 0x3fc44591e0539f49    //log(1/frcpa(1+95/256))/2
data8 0x3fc47c9175b6f0ad    //log(1/frcpa(1+96/256))/2
data8 0x3fc4a8b341552b09    //log(1/frcpa(1+97/256))/2
data8 0x3fc4d4f3908901a0    //log(1/frcpa(1+98/256))/2
data8 0x3fc501528da1f968    //log(1/frcpa(1+99/256))/2
data8 0x3fc52dd06347d4f6    //log(1/frcpa(1+100/256))/2
data8 0x3fc55a6d3c7b8a8a    //log(1/frcpa(1+101/256))/2
data8 0x3fc5925d2b112a59    //log(1/frcpa(1+102/256))/2
data8 0x3fc5bf406b543db2    //log(1/frcpa(1+103/256))/2
data8 0x3fc5ec433d5c35ae    //log(1/frcpa(1+104/256))/2
data8 0x3fc61965cdb02c1f    //log(1/frcpa(1+105/256))/2
data8 0x3fc646a84935b2a2    //log(1/frcpa(1+106/256))/2
data8 0x3fc6740add31de94    //log(1/frcpa(1+107/256))/2
data8 0x3fc6a18db74a58c5    //log(1/frcpa(1+108/256))/2
data8 0x3fc6cf31058670ec    //log(1/frcpa(1+109/256))/2
data8 0x3fc6f180e852f0ba    //log(1/frcpa(1+110/256))/2
data8 0x3fc71f5d71b894f0    //log(1/frcpa(1+111/256))/2
data8 0x3fc74d5aefd66d5c    //log(1/frcpa(1+112/256))/2
data8 0x3fc77b79922bd37e    //log(1/frcpa(1+113/256))/2
data8 0x3fc7a9b9889f19e2    //log(1/frcpa(1+114/256))/2
data8 0x3fc7d81b037eb6a6    //log(1/frcpa(1+115/256))/2
data8 0x3fc8069e33827231    //log(1/frcpa(1+116/256))/2
data8 0x3fc82996d3ef8bcb    //log(1/frcpa(1+117/256))/2
data8 0x3fc85855776dcbfb    //log(1/frcpa(1+118/256))/2
data8 0x3fc8873658327ccf    //log(1/frcpa(1+119/256))/2
data8 0x3fc8aa75973ab8cf    //log(1/frcpa(1+120/256))/2
data8 0x3fc8d992dc8824e5    //log(1/frcpa(1+121/256))/2
data8 0x3fc908d2ea7d9512    //log(1/frcpa(1+122/256))/2
data8 0x3fc92c59e79c0e56    //log(1/frcpa(1+123/256))/2
data8 0x3fc95bd750ee3ed3    //log(1/frcpa(1+124/256))/2
data8 0x3fc98b7811a3ee5b    //log(1/frcpa(1+125/256))/2
data8 0x3fc9af47f33d406c    //log(1/frcpa(1+126/256))/2
data8 0x3fc9df270c1914a8    //log(1/frcpa(1+127/256))/2
data8 0x3fca0325ed14fda4    //log(1/frcpa(1+128/256))/2
data8 0x3fca33440224fa79    //log(1/frcpa(1+129/256))/2
data8 0x3fca57725e80c383    //log(1/frcpa(1+130/256))/2
data8 0x3fca87d0165dd199    //log(1/frcpa(1+131/256))/2
data8 0x3fcaac2e6c03f896    //log(1/frcpa(1+132/256))/2
data8 0x3fcadccc6fdf6a81    //log(1/frcpa(1+133/256))/2
data8 0x3fcb015b3eb1e790    //log(1/frcpa(1+134/256))/2
data8 0x3fcb323a3a635948    //log(1/frcpa(1+135/256))/2
data8 0x3fcb56fa04462909    //log(1/frcpa(1+136/256))/2
data8 0x3fcb881aa659bc93    //log(1/frcpa(1+137/256))/2
data8 0x3fcbad0bef3db165    //log(1/frcpa(1+138/256))/2
data8 0x3fcbd21297781c2f    //log(1/frcpa(1+139/256))/2
data8 0x3fcc039236f08819    //log(1/frcpa(1+140/256))/2
data8 0x3fcc28cb1e4d32fd    //log(1/frcpa(1+141/256))/2
data8 0x3fcc4e19b84723c2    //log(1/frcpa(1+142/256))/2
data8 0x3fcc7ff9c74554c9    //log(1/frcpa(1+143/256))/2
data8 0x3fcca57b64e9db05    //log(1/frcpa(1+144/256))/2
data8 0x3fcccb130a5cebb0    //log(1/frcpa(1+145/256))/2
data8 0x3fccf0c0d18f326f    //log(1/frcpa(1+146/256))/2
data8 0x3fcd232075b5a201    //log(1/frcpa(1+147/256))/2
data8 0x3fcd490246defa6b    //log(1/frcpa(1+148/256))/2
data8 0x3fcd6efa918d25cd    //log(1/frcpa(1+149/256))/2
data8 0x3fcd9509707ae52f    //log(1/frcpa(1+150/256))/2
data8 0x3fcdbb2efe92c554    //log(1/frcpa(1+151/256))/2
data8 0x3fcdee2f3445e4af    //log(1/frcpa(1+152/256))/2
data8 0x3fce148a1a2726ce    //log(1/frcpa(1+153/256))/2
data8 0x3fce3afc0a49ff40    //log(1/frcpa(1+154/256))/2
data8 0x3fce6185206d516e    //log(1/frcpa(1+155/256))/2
data8 0x3fce882578823d52    //log(1/frcpa(1+156/256))/2
data8 0x3fceaedd2eac990c    //log(1/frcpa(1+157/256))/2
data8 0x3fced5ac5f436be3    //log(1/frcpa(1+158/256))/2
data8 0x3fcefc9326d16ab9    //log(1/frcpa(1+159/256))/2
data8 0x3fcf2391a2157600    //log(1/frcpa(1+160/256))/2
data8 0x3fcf4aa7ee03192d    //log(1/frcpa(1+161/256))/2
data8 0x3fcf71d627c30bb0    //log(1/frcpa(1+162/256))/2
data8 0x3fcf991c6cb3b379    //log(1/frcpa(1+163/256))/2
data8 0x3fcfc07ada69a910    //log(1/frcpa(1+164/256))/2
data8 0x3fcfe7f18eb03d3e    //log(1/frcpa(1+165/256))/2
data8 0x3fd007c053c5002e    //log(1/frcpa(1+166/256))/2
data8 0x3fd01b942198a5a1    //log(1/frcpa(1+167/256))/2
data8 0x3fd02f74400c64eb    //log(1/frcpa(1+168/256))/2
data8 0x3fd04360be7603ad    //log(1/frcpa(1+169/256))/2
data8 0x3fd05759ac47fe34    //log(1/frcpa(1+170/256))/2
data8 0x3fd06b5f1911cf52    //log(1/frcpa(1+171/256))/2
data8 0x3fd078bf0533c568    //log(1/frcpa(1+172/256))/2
data8 0x3fd08cd9687e7b0e    //log(1/frcpa(1+173/256))/2
data8 0x3fd0a10074cf9019    //log(1/frcpa(1+174/256))/2
data8 0x3fd0b5343a234477    //log(1/frcpa(1+175/256))/2
data8 0x3fd0c974c89431ce    //log(1/frcpa(1+176/256))/2
data8 0x3fd0ddc2305b9886    //log(1/frcpa(1+177/256))/2
data8 0x3fd0eb524bafc918    //log(1/frcpa(1+178/256))/2
data8 0x3fd0ffb54213a476    //log(1/frcpa(1+179/256))/2
data8 0x3fd114253da97d9f    //log(1/frcpa(1+180/256))/2
data8 0x3fd128a24f1d9aff    //log(1/frcpa(1+181/256))/2
data8 0x3fd1365252bf0865    //log(1/frcpa(1+182/256))/2
data8 0x3fd14ae558b4a92d    //log(1/frcpa(1+183/256))/2
data8 0x3fd15f85a19c765b    //log(1/frcpa(1+184/256))/2
data8 0x3fd16d4d38c119fa    //log(1/frcpa(1+185/256))/2
data8 0x3fd18203c20dd133    //log(1/frcpa(1+186/256))/2
data8 0x3fd196c7bc4b1f3b    //log(1/frcpa(1+187/256))/2
data8 0x3fd1a4a738b7a33c    //log(1/frcpa(1+188/256))/2
data8 0x3fd1b981c0c9653d    //log(1/frcpa(1+189/256))/2
data8 0x3fd1ce69e8bb106b    //log(1/frcpa(1+190/256))/2
data8 0x3fd1dc619de06944    //log(1/frcpa(1+191/256))/2
data8 0x3fd1f160a2ad0da4    //log(1/frcpa(1+192/256))/2
data8 0x3fd2066d7740737e    //log(1/frcpa(1+193/256))/2
data8 0x3fd2147dba47a394    //log(1/frcpa(1+194/256))/2
data8 0x3fd229a1bc5ebac3    //log(1/frcpa(1+195/256))/2
data8 0x3fd237c1841a502e    //log(1/frcpa(1+196/256))/2
data8 0x3fd24cfce6f80d9a    //log(1/frcpa(1+197/256))/2
data8 0x3fd25b2c55cd5762    //log(1/frcpa(1+198/256))/2
data8 0x3fd2707f4d5f7c41    //log(1/frcpa(1+199/256))/2
data8 0x3fd285e0842ca384    //log(1/frcpa(1+200/256))/2
data8 0x3fd294294708b773    //log(1/frcpa(1+201/256))/2
data8 0x3fd2a9a2670aff0c    //log(1/frcpa(1+202/256))/2
data8 0x3fd2b7fb2c8d1cc1    //log(1/frcpa(1+203/256))/2
data8 0x3fd2c65a6395f5f5    //log(1/frcpa(1+204/256))/2
data8 0x3fd2dbf557b0df43    //log(1/frcpa(1+205/256))/2
data8 0x3fd2ea64c3f97655    //log(1/frcpa(1+206/256))/2
data8 0x3fd3001823684d73    //log(1/frcpa(1+207/256))/2
data8 0x3fd30e97e9a8b5cd    //log(1/frcpa(1+208/256))/2
data8 0x3fd32463ebdd34ea    //log(1/frcpa(1+209/256))/2
data8 0x3fd332f4314ad796    //log(1/frcpa(1+210/256))/2
data8 0x3fd348d90e7464d0    //log(1/frcpa(1+211/256))/2
data8 0x3fd35779f8c43d6e    //log(1/frcpa(1+212/256))/2
data8 0x3fd36621961a6a99    //log(1/frcpa(1+213/256))/2
data8 0x3fd37c299f3c366a    //log(1/frcpa(1+214/256))/2
data8 0x3fd38ae2171976e7    //log(1/frcpa(1+215/256))/2
data8 0x3fd399a157a603e7    //log(1/frcpa(1+216/256))/2
data8 0x3fd3afccfe77b9d1    //log(1/frcpa(1+217/256))/2
data8 0x3fd3be9d503533b5    //log(1/frcpa(1+218/256))/2
data8 0x3fd3cd7480b4a8a3    //log(1/frcpa(1+219/256))/2
data8 0x3fd3e3c43918f76c    //log(1/frcpa(1+220/256))/2
data8 0x3fd3f2acb27ed6c7    //log(1/frcpa(1+221/256))/2
data8 0x3fd4019c2125ca93    //log(1/frcpa(1+222/256))/2
data8 0x3fd4181061389722    //log(1/frcpa(1+223/256))/2
data8 0x3fd42711518df545    //log(1/frcpa(1+224/256))/2
data8 0x3fd436194e12b6bf    //log(1/frcpa(1+225/256))/2
data8 0x3fd445285d68ea69    //log(1/frcpa(1+226/256))/2
data8 0x3fd45bcc464c893a    //log(1/frcpa(1+227/256))/2
data8 0x3fd46aed21f117fc    //log(1/frcpa(1+228/256))/2
data8 0x3fd47a1527e8a2d3    //log(1/frcpa(1+229/256))/2
data8 0x3fd489445efffccc    //log(1/frcpa(1+230/256))/2
data8 0x3fd4a018bcb69835    //log(1/frcpa(1+231/256))/2
data8 0x3fd4af5a0c9d65d7    //log(1/frcpa(1+232/256))/2
data8 0x3fd4bea2a5bdbe87    //log(1/frcpa(1+233/256))/2
data8 0x3fd4cdf28f10ac46    //log(1/frcpa(1+234/256))/2
data8 0x3fd4dd49cf994058    //log(1/frcpa(1+235/256))/2
data8 0x3fd4eca86e64a684    //log(1/frcpa(1+236/256))/2
data8 0x3fd503c43cd8eb68    //log(1/frcpa(1+237/256))/2
data8 0x3fd513356667fc57    //log(1/frcpa(1+238/256))/2
data8 0x3fd522ae0738a3d8    //log(1/frcpa(1+239/256))/2
data8 0x3fd5322e26867857    //log(1/frcpa(1+240/256))/2
data8 0x3fd541b5cb979809    //log(1/frcpa(1+241/256))/2
data8 0x3fd55144fdbcbd62    //log(1/frcpa(1+242/256))/2
data8 0x3fd560dbc45153c7    //log(1/frcpa(1+243/256))/2
data8 0x3fd5707a26bb8c66    //log(1/frcpa(1+244/256))/2
data8 0x3fd587f60ed5b900    //log(1/frcpa(1+245/256))/2
data8 0x3fd597a7977c8f31    //log(1/frcpa(1+246/256))/2
data8 0x3fd5a760d634bb8b    //log(1/frcpa(1+247/256))/2
data8 0x3fd5b721d295f10f    //log(1/frcpa(1+248/256))/2
data8 0x3fd5c6ea94431ef9    //log(1/frcpa(1+249/256))/2
data8 0x3fd5d6bb22ea86f6    //log(1/frcpa(1+250/256))/2
data8 0x3fd5e6938645d390    //log(1/frcpa(1+251/256))/2
data8 0x3fd5f673c61a2ed2    //log(1/frcpa(1+252/256))/2
data8 0x3fd6065bea385926    //log(1/frcpa(1+253/256))/2
data8 0x3fd6164bfa7cc06b    //log(1/frcpa(1+254/256))/2
data8 0x3fd62643fecf9743    //log(1/frcpa(1+255/256))/2
LOCAL_OBJECT_END(atanhf_data2)


.section .text
GLOBAL_LIBM_ENTRY(atanhf)

{ .mfi
      getf.exp      rArgSExpb = f8
      fclass.m      p9,p0 = f8, 0x0b        // is arg denormal ?
      mov           rExpbMask = 0x1ffff
}
{ .mfi
      addl          DataPtr = @ltoff(atanhf_data), gp
      fnma.s1       fOneMx = f8, f1, f1     // 1 - x
      mov           rBias = 0xffff
}
;;

{ .mfi
      nop.m         0
      fclass.m      p7,p0 = f8, 0xc7        // is arg NaN or +/-0 ?
      mov           rNearZeroBound = 0xffeb // 2^(-20)
}
{ .mfi
      ld8           DataPtr = [DataPtr]
      fma.s1        fOnePx = f8, f1, f1     // 1 + x
      nop.i         0
}
;;

{ .mfb
      nop.m         0
      fnorm.s1      fNormX = f8                     // Normalize x
(p9)  br.cond.spnt  ATANH_UNORM                     // Branch if x=unorm
}
;;

ATANH_COMMON:
// Return here if x=unorm and not denorm
{ .mfi
      ldfpd         fP3, fP2 = [DataPtr], 16
      fma.s1        fX2 = f8, f8, f0        // x^2
      nop.i         0
}
{ .mfb
      nop.m         0
(p7)  fma.s.s0      f8 =  f8,f1,f8          // NaN or +/-0
(p7)  br.ret.spnt   b0
}
;;

{ .mfi
      ldfpd         fP1, fHalf = [DataPtr], 16
      frcpa.s1      fRcpM, p9 = f1, fOneMx  // rcpm = frcpa(1 - x)
      nop.i         0
}
;;

{ .mfi
      getf.exp      rExpbm = fOneMx
      frcpa.s1      fRcpP, p0 = f1, fOnePx  // rcpp = frcpa(1 + x)
      // biased exponent
      and           rArgExpb = rArgSExpb, rExpbMask
}
;;

{ .mmi
      getf.exp      rExpbp = fOnePx
      // is |x| < 2^(-20) ?
      cmp.gt        p8,p0 = rNearZeroBound, rArgExpb
      cmp.ge        p6,p0 = rArgExpb, rBias // is |x| >= 1 ?
}
;;

{ .mmb
      getf.sig      rSigm = fOneMx
      nop.m         0
(p6)  br.cond.spnt  atanhf_ge_one
}
;;

{ .mfb
      getf.sig      rSigp = fOnePx
(p8)  fma.s.s0      f8 =  fX2, f8, f8  // x + x^3
(p8)  br.ret.spnt   b0                 // Exit for MAX_DENORM_ABS < |x| < 2^-20
}
;;

{ .mfi
      ldfd          fLog2 = [DataPtr], 16
      fms.s1        fRm = fRcpM, fOneMx, f1 // rm = rcpm * (1 - x) - 1
      nop.i         0
}
;;

{ .mmf
      // (1 - x) is always positive here and we need not mask sign bit
      sub           rNm = rExpbm, rBias
      // (1 + x) is always positive here and we need not mask sign bit
      sub           rNp = rExpbp, rBias
      fms.s1        fRp = fRcpP, fOnePx, f1 // rp = rcpp * (1 + x) - 1
}
;;

{ .mmi
      setf.sig      fN4CvtM = rNm
      setf.sig      fN4CvtP = rNp
      extr.u        rIndm = rSigm,55,8                // Extract 8 bits
}
;;

{ .mmi
      shladd        RcpTablePtrM = rIndm, 3, DataPtr
      nop.m         0
      extr.u        rIndp = rSigp,55,8                // Extract 8 bits
}
;;

{ .mmi
      ldfd          fLogTm = [RcpTablePtrM]
      shladd        RcpTablePtrP = rIndp, 3, DataPtr
      nop.i         0
}
;;

{ .mfi
      ldfd          fLogTp = [RcpTablePtrP]
      fma.s1        fRm2 = fRm, fRm, f0     // rm^2
      nop.i         0
}
{ .mfi
      nop.m         0
      fma.s1        fP32m = fP3, fRm, fP2   // P3*rm + P2
      nop.i         0
}
;;

{ .mfi
      nop.m         0
      fma.s1        fRp2 = fRp, fRp, f0     // rp^2
      nop.i         0
}
{ .mfi
      nop.m         0
      fma.s1        fP10m = fP1, fRm, fHalf   // P1*rm + 1
      nop.i         0
}
;;

{ .mfi
      nop.m         0
      fma.s1        fP32p = fP3, fRp, fP2   // P3*rp + P2
      nop.i         0
}
{ .mfi
      nop.m         0
      fma.s1        fP10p = fP1, fRp, fHalf   // P1*rp + 1
      nop.i         0
}
;;

{ .mfi
      nop.m         0
      fcvt.xf       fNm = fN4CvtM
      nop.i         0
}
{ .mfi
      nop.m         0
      fcvt.xf       fNp = fN4CvtP
      nop.i         0
}
;;

{ .mfi
      nop.m         0
      // (P3*rm + P2)*rm^2 + (P1*rm + 1)
      fma.s1        fP32m = fP32m, fRm2, fP10m
      nop.i         0
}
{ .mfi
      nop.m         0
      // (P3*rp + P2)*rp^2 + (P1*rp + 1)
      fma.s1        fP32p = fP32p, fRp2, fP10p
      nop.i         0
}
;;

{ .mfi
      nop.m         0
      // Nm*ln(2)/2 + Tm/2
      fma.s1        fLogTm = fNm, fLog2, fLogTm
      nop.i         0
}
{ .mfi
      nop.m         0
      // Np*ln(2)/2 + Tp/2
      fma.s1        fLogTp = fNp, fLog2, fLogTp
      nop.i         0
}
;;

{ .mfi
      nop.m         0
      // ((P3*rm + P2)*rm^2 + (P3*rm + 1))*0.5*rm + (Nm*ln(2)/2 + Tm/2)
      fma.d.s1      fP32m = fP32m, fRm, fLogTm
      nop.i         0
}
{ .mfi
      nop.m         0
      // ((P3*rp + P2)*rp^2 + (P3*rp + 1))*0.5*rp + (Np*ln(2)/2 + Tp/2)
      fma.d.s1      fP32p = fP32p, fRp, fLogTp
      nop.i         0
}
;;

{ .mfb
      nop.m         0
      // atanhf(x) = 0.5 * (log(1 + x) - log(1 - x))
      fnma.s.s0     f8 = fP32m, f1, fP32p
      br.ret.sptk   b0                      // Exit for 2^(-20) <= |x| < 1.0
}
;;


ATANH_UNORM:
// Here if x=unorm
{ .mfi
      getf.exp      rArgSExpb = fNormX           // Recompute if x unorm
      fclass.m      p0,p9 = fNormX, 0x0b         // Test x denorm
      nop.i         0
}
;;

{ .mfb
      nop.m         0
      fcmp.lt.s0    p10,p11 = f8, f0      // Set denormal flag
(p9)  br.cond.sptk  ATANH_COMMON          // Continue if x unorm and not denorm
}
;;

.pred.rel "mutex",p6,p7
{ .mfi
      nop.m         0
(p6)  fnma.s.s0     f8 = f8,f8,f8                // Result x-x^2 if x=-denorm
      nop.i         0
}
{ .mfb
      nop.m         0
(p7)  fma.s.s0      f8 = f8,f8,f8                // Result x+x^2 if x=+denorm
      br.ret.spnt   b0                           // Exit if denorm
}
;;

// Here if |x| >= 1.0
atanhf_ge_one:
{ .mfi
      alloc         r32 = ar.pfs,1,3,4,0
      fmerge.s      fArgAbs = f0, f8        // Form |x|
      nop.i         0
}
;;

{ .mfi
      nop.m         0
      fmerge.s      f10 = f8, f8            // Save input for error call
      nop.i         0
}
;;

{ .mfi
      nop.m         0
      fcmp.eq.s1    p6,p7 = fArgAbs, f1     // Test for |x| = 1.0
      nop.i         0
}
;;

// Set error tag and result, and raise invalid flag if |x| > 1.0
{ .mfi
(p7)  mov           atanh_GR_tag = 133
(p7)  frcpa.s0      f8, p0 = f0, f0         // Get QNaN, and raise invalid
      nop.i         0
}
;;

// Set error tag and result, and raise Z flag if |x| = 1.0
{ .mfi
      nop.m         0
(p6)  frcpa.s0      fRm, p0 = f1, f0        // Get inf, and raise Z flag
      nop.i         0
}
;;

{ .mfb
(p6)  mov           atanh_GR_tag = 134
(p6)  fmerge.s      f8 = f8, fRm            // result is +-inf
      br.cond.sptk  __libm_error_region     // Exit if |x| >= 1.0
}
;;

GLOBAL_LIBM_END(atanhf)


LOCAL_LIBM_ENTRY(__libm_error_region)
.prologue

{ .mfi
      add           GR_Parameter_Y=-32,sp   // Parameter 2 value
      nop.f         0
.save   ar.pfs,GR_SAVE_PFS
      mov           GR_SAVE_PFS=ar.pfs      // Save ar.pfs
}
{ .mfi
.fframe 64
      add sp=-64,sp                         // Create new stack
      nop.f 0
      mov GR_SAVE_GP=gp                     // Save gp
};;

{ .mmi
      stfs [GR_Parameter_Y] = f1,16         // STORE Parameter 2 on stack
      add GR_Parameter_X = 16,sp            // Parameter 1 address
.save   b0, GR_SAVE_B0
      mov GR_SAVE_B0=b0                     // Save b0
};;

.body
{ .mib
      stfs [GR_Parameter_X] = f10           // STORE Parameter 1 on stack
      // Parameter 3 address
      add   GR_Parameter_RESULT = 0,GR_Parameter_Y
      nop.b 0
}
{ .mib
      stfs [GR_Parameter_Y] = f8            // STORE Parameter 3 on stack
      add   GR_Parameter_Y = -16,GR_Parameter_Y
      br.call.sptk b0=__libm_error_support# // Call error handling function
};;

{ .mmi
      add   GR_Parameter_RESULT = 48,sp
      nop.m 0
      nop.i 0
};;

{ .mmi
      ldfs  f8 = [GR_Parameter_RESULT]      // Get return result off stack
.restore sp
      add   sp = 64,sp                      // Restore stack pointer
      mov   b0 = GR_SAVE_B0                 // Restore return address
};;

{ .mib
      mov   gp = GR_SAVE_GP                 // Restore gp
      mov   ar.pfs = GR_SAVE_PFS            // Restore ar.pfs
      br.ret.sptk     b0                    // Return
};;

LOCAL_LIBM_END(__libm_error_region)


.type   __libm_error_support#,@function
.global __libm_error_support#