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
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
|
.file "acos.s"
// Copyright (c) 2000, 2001, Intel Corporation
// All rights reserved.
//
// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
//
// WARRANTY DISCLAIMER
//
// 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://developer.intel.com/opensource.
// History
//==============================================================
// 2/02/00 Initial version
// 8/17/00 New and much faster algorithm.
// 8/30/00 Avoided bank conflicts on loads, shortened |x|=1 and x=0 paths,
// fixed mfb split issue stalls.
// Description
//=========================================
// The acos function computes the principle value of the arc sine of x.
// A doman error occurs for arguments not in the range [-1,+1].
// The acos function returns the arc cosine in the range [0, +pi] radians.
// acos(1) returns +0, acos(-1) returns pi, acos(0) returns pi/2.
// acos(x) returns a Nan and raises the invalid exception for |x| >1
// The acos function is just like asin except that pi/2 is added at the end.
//
// Assembly macros
//=========================================
#include "libm_support.h"
// predicate registers
//acos_pred_LEsqrt2by2 = p7
//acos_pred_GTsqrt2by2 = p8
// integer registers
ASIN_Addr1 = r33
ASIN_Addr2 = r34
ASIN_FFFE = r35
GR_SAVE_B0 = r36
GR_SAVE_PFS = r37
GR_SAVE_GP = r38
GR_Parameter_X = r39
GR_Parameter_Y = r40
GR_Parameter_RESULT = r41
GR_Parameter_Tag = r42
// floating point registers
acos_coeff_P1 = f32
acos_coeff_P2 = f33
acos_coeff_P3 = f34
acos_coeff_P4 = f35
acos_coeff_P5 = f36
acos_coeff_P6 = f37
acos_coeff_P7 = f38
acos_coeff_P8 = f39
acos_coeff_P9 = f40
acos_coeff_P10 = f41
acos_coeff_P11 = f42
acos_coeff_P12 = f43
acos_coeff_P13 = f44
acos_coeff_P14 = f45
acos_coeff_P15 = f46
acos_coeff_P16 = f47
acos_coeff_P17 = f48
acos_coeff_P18 = f49
acos_coeff_P19 = f50
acos_coeff_P20 = f51
acos_coeff_P21 = f52
acos_const_sqrt2by2 = f53
acos_const_piby2 = f54
acos_abs_x = f55
acos_tx = f56
acos_tx2 = f57
acos_tx3 = f58
acos_tx4 = f59
acos_tx8 = f60
acos_tx11 = f61
acos_1poly_p8 = f62
acos_1poly_p19 = f63
acos_1poly_p4 = f64
acos_1poly_p15 = f65
acos_1poly_p6 = f66
acos_1poly_p17 = f67
acos_1poly_p0 = f68
acos_1poly_p11 = f69
acos_1poly_p2 = f70
acos_1poly_p13 = f71
acos_series_tx = f72
acos_t = f73
acos_t2 = f74
acos_t3 = f75
acos_t4 = f76
acos_t8 = f77
acos_t11 = f78
acos_poly_p8 = f79
acos_poly_p19 = f80
acos_poly_p4 = f81
acos_poly_p15 = f82
acos_poly_p6 = f83
acos_poly_p17 = f84
acos_poly_p0 = f85
acos_poly_p11 = f86
acos_poly_p2 = f87
acos_poly_p13 = f88
acos_series_t = f89
acos_1by2 = f90
acos_3by2 = f91
acos_5by2 = f92
acos_11by4 = f93
acos_35by8 = f94
acos_63by8 = f95
acos_231by16 = f96
acos_y0 = f97
acos_H0 = f98
acos_S0 = f99
acos_d = f100
acos_l1 = f101
acos_d2 = f102
acos_T0 = f103
acos_d1 = f104
acos_e0 = f105
acos_l2 = f106
acos_d3 = f107
acos_T3 = f108
acos_S1 = f109
acos_e1 = f110
acos_z = f111
answer2 = f112
acos_sgn_x = f113
acos_429by16 = f114
acos_18by4 = f115
acos_3by4 = f116
acos_l3 = f117
acos_T6 = f118
acos_const_add = f119
// Data tables
//==============================================================
#ifdef _LIBC
.rodata
#else
.data
#endif
.align 16
acos_coeff_1_table:
ASM_TYPE_DIRECTIVE(acos_coeff_1_table,@object)
data8 0xE4E7E0A423A21249 , 0x00003FF8 //P7
data8 0xC2F7EE0200FCE2A5 , 0x0000C003 //P18
data8 0xB745D7F6C65C20E0 , 0x00003FF9 //P5
data8 0xF75E381A323D4D94 , 0x0000C002 //P16
data8 0x8959C2629C1024C0 , 0x0000C002 //P20
data8 0xAFF68E7D241292C5 , 0x00003FF8 //P9
data8 0xB6DB6DB7260AC30D , 0x00003FFA //P3
data8 0xD0417CE2B41CB7BF , 0x0000C000 //P14
data8 0x81D570FEA724E3E4 , 0x0000BFFD //P12
data8 0xAAAAAAAAAAAAC277 , 0x00003FFC //P1
data8 0xF534912FF3E7B76F , 0x00003FFF //P21
data8 0xc90fdaa22168c235 , 0x00003fff // pi/2
data8 0x0000000000000000 , 0x00000000 // pad to avoid bank conflicts
ASM_SIZE_DIRECTIVE(acos_coeff_1_table)
acos_coeff_2_table:
ASM_TYPE_DIRECTIVE(acos_coeff_2_table,@object)
data8 0x8E26AF5F29B39A2A , 0x00003FF9 //P6
data8 0xB4F118A4B1015470 , 0x00004003 //P17
data8 0xF8E38E10C25990E0 , 0x00003FF9 //P4
data8 0x80F50489AEF1CAC6 , 0x00004002 //P15
data8 0x92728015172CFE1C , 0x00004003 //P19
data8 0xBBC3D831D4595971 , 0x00003FF8 //P8
data8 0x999999999952A5C3 , 0x00003FFB //P2
data8 0x855576BE6F0975EC , 0x00003FFF //P13
data8 0xF12420E778077D89 , 0x00003FFA //P11
data8 0xB6590FF4D23DE003 , 0x00003FF3 //P10
data8 0xb504f333f9de6484 , 0x00003ffe // sqrt(2)/2
ASM_SIZE_DIRECTIVE(acos_coeff_2_table)
.align 32
.global acos
ASM_TYPE_DIRECTIVE(acos,@function)
.section .text
.proc acos
.align 32
acos:
{ .mfi
alloc r32 = ar.pfs,1,6,4,0
fma.s1 acos_tx = f8,f8,f0
addl ASIN_Addr2 = @ltoff(acos_coeff_2_table),gp
}
{ .mfi
mov ASIN_FFFE = 0xFFFE
fnma.s1 acos_t = f8,f8,f1
addl ASIN_Addr1 = @ltoff(acos_coeff_1_table),gp
}
;;
{ .mfi
setf.exp acos_1by2 = ASIN_FFFE
fmerge.s acos_abs_x = f1,f8
nop.i 999 ;;
}
{ .mmf
ld8 ASIN_Addr1 = [ASIN_Addr1]
ld8 ASIN_Addr2 = [ASIN_Addr2]
fmerge.s acos_sgn_x = f8,f1
}
;;
{ .mfi
nop.m 999
fcmp.lt.s1 p11,p12 = f8, f0
nop.i 999 ;;
}
{ .mfi
ldfe acos_coeff_P7 = [ASIN_Addr1],16
fma.s1 acos_tx2 = acos_tx,acos_tx,f0
nop.i 999
}
{ .mfi
ldfe acos_coeff_P6 = [ASIN_Addr2],16
fma.s1 acos_t2 = acos_t,acos_t,f0
nop.i 999;;
}
{ .mmf
ldfe acos_coeff_P18 = [ASIN_Addr1],16
ldfe acos_coeff_P17 = [ASIN_Addr2],16
fclass.m.unc p8,p0 = f8, 0xc3 //@qnan |@snan
}
;;
{ .mmf
ldfe acos_coeff_P5 = [ASIN_Addr1],16
ldfe acos_coeff_P4 = [ASIN_Addr2],16
frsqrta.s1 acos_y0,p0 = acos_t
}
;;
{ .mfi
ldfe acos_coeff_P16 = [ASIN_Addr1],16
fcmp.gt.s1 p9,p0 = acos_abs_x,f1
nop.i 999
}
{ .mfb
ldfe acos_coeff_P15 = [ASIN_Addr2],16
(p8) fma.d f8 = f8,f1,f0
(p8) br.ret.spnt b0
}
;;
{ .mmf
ldfe acos_coeff_P20 = [ASIN_Addr1],16
ldfe acos_coeff_P19 = [ASIN_Addr2],16
fclass.m.unc p10,p0 = f8, 0x07 //@zero
}
;;
{ .mfi
ldfe acos_coeff_P9 = [ASIN_Addr1],16
fma.s1 acos_t4 = acos_t2,acos_t2,f0
(p9) mov GR_Parameter_Tag = 58
}
{ .mfi
ldfe acos_coeff_P8 = [ASIN_Addr2],16
fma.s1 acos_3by2 = acos_1by2,f1,f1
nop.i 999;;
}
{ .mfi
ldfe acos_coeff_P2 = [ASIN_Addr2],16
fma.s1 acos_tx4 = acos_tx2,acos_tx2,f0
nop.i 999
}
{ .mfb
ldfe acos_coeff_P3 = [ASIN_Addr1],16
fma.s1 acos_t3 = acos_t,acos_t2,f0
(p9) br.cond.spnt __libm_error_region
}
;;
{ .mfi
ldfe acos_coeff_P13 = [ASIN_Addr2],16
fma.s1 acos_H0 = acos_y0,acos_1by2,f0
nop.i 999
}
{ .mfi
ldfe acos_coeff_P14 = [ASIN_Addr1],16
fma.s1 acos_S0 = acos_y0,acos_t,f0
nop.i 999;;
}
{ .mfi
ldfe acos_coeff_P11 = [ASIN_Addr2],16
fcmp.eq.s1 p6,p0 = acos_abs_x, f1
nop.i 999
}
{ .mfi
ldfe acos_coeff_P12 = [ASIN_Addr1],16
fma.s1 acos_tx3 = acos_tx,acos_tx2,f0
nop.i 999
}
;;
{ .mfi
ldfe acos_coeff_P10 = [ASIN_Addr2],16
fma.s1 acos_1poly_p6 = acos_tx,acos_coeff_P7,acos_coeff_P6
nop.i 999
}
{ .mfi
ldfe acos_coeff_P1 = [ASIN_Addr1],16
fma.s1 acos_poly_p6 = acos_t,acos_coeff_P7,acos_coeff_P6
nop.i 999;;
}
{ .mfi
ldfe acos_const_sqrt2by2 = [ASIN_Addr2],16
fma.s1 acos_5by2 = acos_3by2,f1,f1
nop.i 999
}
{ .mfi
ldfe acos_coeff_P21 = [ASIN_Addr1],16
fma.s1 acos_11by4 = acos_3by2,acos_3by2,acos_1by2
nop.i 999;;
}
{ .mfi
ldfe acos_const_piby2 = [ASIN_Addr1],16
fma.s1 acos_poly_p17 = acos_t,acos_coeff_P18,acos_coeff_P17
nop.i 999
}
{ .mfb
nop.m 999
fma.s1 acos_3by4 = acos_3by2,acos_1by2,f0
(p10) br.cond.spnt L(ACOS_ZERO) // Branch to short path if x=0
}
;;
{ .mfi
nop.m 999
fma.s1 acos_poly_p15 = acos_t,acos_coeff_P16,acos_coeff_P15
nop.i 999
}
{ .mfb
nop.m 999
fnma.s1 acos_d = acos_S0,acos_H0,acos_1by2
(p6) br.cond.spnt L(ACOS_ABS_ONE) // Branch to short path if |x|=1
}
;;
{ .mfi
nop.m 999
fma.s1 acos_poly_p19 = acos_t,acos_coeff_P20,acos_coeff_P19
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 acos_poly_p4 = acos_t,acos_coeff_P5,acos_coeff_P4
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 acos_1poly_p17 = acos_tx,acos_coeff_P18,acos_coeff_P17
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 acos_poly_p8 = acos_t,acos_coeff_P9,acos_coeff_P8
nop.i 999;;
}
{ .mfi
nop.m 999
fms.s1 acos_35by8 = acos_5by2,acos_11by4,acos_5by2
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 acos_63by8 = acos_5by2,acos_11by4,f1
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 acos_poly_p13 = acos_t,acos_coeff_P14,acos_coeff_P13
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 acos_18by4 = acos_3by2,acos_5by2,acos_3by4
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 acos_l1 = acos_5by2,acos_d,acos_3by2
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 acos_d2 = acos_d,acos_d,f0
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 acos_poly_p15 = acos_t2,acos_poly_p17,acos_poly_p15
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 acos_T0 = acos_d,acos_S0,f0
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 acos_poly_p19 = acos_t2,acos_coeff_P21,acos_poly_p19
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 acos_poly_p4 = acos_t2,acos_poly_p6,acos_poly_p4
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 acos_d1 = acos_35by8,acos_d,f0
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 acos_231by16 = acos_3by2,acos_35by8,acos_63by8
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 acos_poly_p2 = acos_t,acos_coeff_P3,acos_coeff_P2
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 acos_poly_p8 = acos_t2,acos_coeff_P10,acos_poly_p8
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 acos_poly_p11 = acos_t,acos_coeff_P12,acos_coeff_P11
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 acos_e0 = acos_d2,acos_l1,acos_d
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 acos_1poly_p15 = acos_tx,acos_coeff_P16,acos_coeff_P15
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 acos_poly_p0 = acos_t,acos_coeff_P1,f1
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 acos_1poly_p19 = acos_tx,acos_coeff_P20,acos_coeff_P19
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 acos_1poly_p4 = acos_tx,acos_coeff_P5,acos_coeff_P4
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 acos_1poly_p8 = acos_tx,acos_coeff_P9,acos_coeff_P8
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 acos_l2 = acos_231by16,acos_d,acos_63by8
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 acos_d3 = acos_d2,acos_d,f0
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 acos_T3 = acos_d2,acos_T0,f0
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 acos_429by16 = acos_18by4,acos_11by4,acos_231by16
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 acos_S1 = acos_e0,acos_S0,acos_S0
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 acos_poly_p4 = acos_t4,acos_poly_p8,acos_poly_p4
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 acos_poly_p15 = acos_t4,acos_poly_p19,acos_poly_p15
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 acos_poly_p0 = acos_t2,acos_poly_p2,acos_poly_p0
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 acos_poly_p11 = acos_t2,acos_poly_p13,acos_poly_p11
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 acos_t8 = acos_t4,acos_t4,f0
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 acos_e1 = acos_d2,acos_l2,acos_d1
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 acos_1poly_p4 = acos_tx2,acos_1poly_p6,acos_1poly_p4
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 acos_1poly_p15 = acos_tx2,acos_1poly_p17,acos_1poly_p15
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 acos_1poly_p8 = acos_tx2,acos_coeff_P10,acos_1poly_p8
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 acos_1poly_p19 = acos_tx2,acos_coeff_P21,acos_1poly_p19
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 acos_1poly_p2 = acos_tx,acos_coeff_P3,acos_coeff_P2
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 acos_1poly_p13 = acos_tx,acos_coeff_P14,acos_coeff_P13
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 acos_1poly_p0 = acos_tx,acos_coeff_P1,f1
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 acos_1poly_p11 = acos_tx,acos_coeff_P12,acos_coeff_P11
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 acos_l3 = acos_429by16,acos_d,f0
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 acos_z = acos_e1,acos_T3,acos_S1
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 acos_poly_p11 = acos_t4,acos_poly_p15,acos_poly_p11
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 acos_T6 = acos_T3,acos_d3,f0
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 acos_t11 = acos_t8,acos_t3,f0
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 acos_poly_p0 = acos_t4,acos_poly_p4,acos_poly_p0
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 acos_1poly_p4 = acos_tx4,acos_1poly_p8,acos_1poly_p4
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 acos_1poly_p15 = acos_tx4,acos_1poly_p19,acos_1poly_p15
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 acos_1poly_p0 = acos_tx2,acos_1poly_p2,acos_1poly_p0
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 acos_1poly_p11 = acos_tx2,acos_1poly_p13,acos_1poly_p11
nop.i 999;;
}
{ .mfi
nop.m 999
// fcmp.le.s1 acos_pred_LEsqrt2by2,acos_pred_GTsqrt2by2 = acos_abs_x,acos_const_sqrt2by2
fcmp.le.s1 p7,p8 = acos_abs_x,acos_const_sqrt2by2
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 acos_tx8 = acos_tx4,acos_tx4,f0
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 acos_z = acos_l3,acos_T6,acos_z
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 acos_series_t = acos_t11,acos_poly_p11,acos_poly_p0
nop.i 999
}
{ .mfi
nop.m 999
(p11) fma.s1 acos_const_add = acos_const_piby2, f1, acos_const_piby2
nop.i 999
}
;;
{ .mfi
nop.m 999
(p12) fma.s1 acos_const_add = f1,f0,f0
nop.i 999
}
;;
{ .mfi
nop.m 999
fma.s1 acos_1poly_p0 = acos_tx4,acos_1poly_p4,acos_1poly_p0
nop.i 999
}
{ .mfi
nop.m 999
fma.s1 acos_1poly_p11 = acos_tx4,acos_1poly_p15,acos_1poly_p11
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 acos_tx11 = acos_tx8,acos_tx3,f0
nop.i 999;;
}
{ .mfi
nop.m 999
//(acos_pred_GTsqrt2by2) fnma.s1 answer2 = acos_z,acos_series_t,acos_const_piby2
(p8) fnma.s1 answer2 = acos_z,acos_series_t,f0
nop.i 999;;
}
{ .mfi
nop.m 999
fma.s1 acos_series_tx = acos_tx11,acos_1poly_p11,acos_1poly_p0
nop.i 999;;
}
{ .mfi
nop.m 999
//(acos_pred_GTsqrt2by2) fnma.d f8 = acos_sgn_x,answer2,acos_const_piby2
(p8) fnma.d f8 = acos_sgn_x,answer2,acos_const_add
nop.i 999;;
}
{ .mfb
nop.m 999
//(acos_pred_LEsqrt2by2) fnma.d f8 = f8,acos_series_tx,acos_const_piby2
(p7) fnma.d f8 = f8,acos_series_tx,acos_const_piby2
br.ret.sptk b0 ;;
}
L(ACOS_ZERO):
// Here if x=0
{ .mfb
nop.m 999
fma.d f8 = acos_const_piby2,f1,f0
br.ret.sptk b0 ;;
}
L(ACOS_ABS_ONE):
.pred.rel "mutex",p11,p12
// Here if |x|=1
{ .mfi
nop.m 999
(p11) fma.d f8 = acos_const_piby2,f1,acos_const_piby2 // acos(-1)=pi
nop.i 999
}
{ .mfb
nop.m 999
(p12) fma.d f8 = f1,f0,f0 // acos(1)=0
br.ret.sptk b0 ;;
}
.endp acos
ASM_SIZE_DIRECTIVE(acos)
.proc __libm_error_region
__libm_error_region:
.prologue
{ .mfi
add GR_Parameter_Y=-32,sp // Parameter 2 value
nop.f 999
.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
frcpa.s0 f9,p0 = f0,f0
;;
{ .mib
stfd [GR_Parameter_X] = f8 // Store Parameter 1 on stack
add GR_Parameter_RESULT = 0,GR_Parameter_Y
nop.b 0 // Parameter 3 address
}
{ .mib
stfd [GR_Parameter_Y] = f9,-16 // Store Parameter 3 on stack
adds r32 = 48,sp
br.call.sptk b0=__libm_error_support# // Call error handling function
};;
{ .mmi
ldfd f8 = [r32] // 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
};;
.endp __libm_error_region
ASM_SIZE_DIRECTIVE(__libm_error_region)
.type __libm_error_support,@function
.global __libm_error_support
|
