summaryrefslogtreecommitdiff
path: root/sysdeps/ia64/fpu/e_asin.S
blob: bb4c242fb25ebe62f9232fc3d52485da3fcd43ee (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
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
.file "asin.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.
//
// 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://developer.intel.com/opensource.

// History
//==============================================================
// 2/02/00  Initial version 
// 8/17/00  New and much faster algorithm.
// 8/31/00  Avoided bank conflicts on loads, shortened |x|=1 path, 
//          fixed mfb split issue stalls.
// 12/19/00 Fixed small arg cases to force inexact, or inexact and underflow.

// Description
//=========================================
// The asin function computes the principle value of the arc sine of x.
// asin(0) returns 0, asin(1) returns pi/2, asin(-1) returns -pi/2.
// A doman error occurs for arguments not in the range [-1,+1].

// The asin function returns the arc sine in the range [-pi/2, +pi/2] radians.

#include "libm_support.h"

//
// Assembly macros
//=========================================


// predicate registers
//asin_pred_LEsqrt2by2            = p7
//asin_pred_GTsqrt2by2            = p8

// integer registers
ASIN_Addr1                      = r33
ASIN_Addr2                      = r34
ASIN_FFFE                       = r35
ASIN_lnorm_sig                  = r36
ASIN_snorm_exp                  = r37

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
asin_coeff_P1                   = f32
asin_coeff_P2                   = f33
asin_coeff_P3                   = f34
asin_coeff_P4                   = f35

asin_coeff_P5                   = f36
asin_coeff_P6                   = f37
asin_coeff_P7                   = f38
asin_coeff_P8                   = f39
asin_coeff_P9                   = f40

asin_coeff_P10                  = f41
asin_coeff_P11                  = f42
asin_coeff_P12                  = f43
asin_coeff_P13                  = f44
asin_coeff_P14                  = f45

asin_coeff_P15                  = f46
asin_coeff_P16                  = f47
asin_coeff_P17                  = f48
asin_coeff_P18                  = f49
asin_coeff_P19                  = f50

asin_coeff_P20                  = f51
asin_coeff_P21                  = f52
asin_const_sqrt2by2             = f53
asin_const_piby2                = f54
asin_abs_x                      = f55

asin_tx                         = f56
asin_tx2                        = f57
asin_tx3                        = f58
asin_tx4                        = f59
asin_tx8                        = f60

asin_tx11                       = f61
asin_1poly_p8                   = f62
asin_1poly_p19                  = f63
asin_1poly_p4                   = f64
asin_1poly_p15                  = f65

asin_1poly_p6                   = f66
asin_1poly_p17                  = f67
asin_1poly_p0                   = f68
asin_1poly_p11                  = f69
asin_1poly_p2                   = f70

asin_1poly_p13                  = f71
asin_series_tx                  = f72
asin_t                          = f73
asin_t2                         = f74
asin_t3                         = f75

asin_t4                         = f76
asin_t8                         = f77
asin_t11                        = f78
asin_poly_p8                    = f79
asin_poly_p19                   = f80

asin_poly_p4                    = f81
asin_poly_p15                   = f82
asin_poly_p6                    = f83
asin_poly_p17                   = f84
asin_poly_p0                    = f85

asin_poly_p11                   = f86
asin_poly_p2                    = f87
asin_poly_p13                   = f88
asin_series_t                   = f89
asin_1by2                       = f90

asin_3by2                       = f91
asin_5by2                       = f92
asin_11by4                      = f93
asin_35by8                      = f94
asin_63by8                      = f95

asin_231by16                    = f96 
asin_y0                         = f97 
asin_H0                         = f98 
asin_S0                         = f99 
asin_d                          = f100

asin_l1                         = f101
asin_d2                         = f102
asin_T0                         = f103
asin_d1                         = f104
asin_e0                         = f105

asin_l2                         = f106
asin_d3                         = f107
asin_T3                         = f108
asin_S1                         = f109
asin_e1                         = f110

asin_z                          = f111
answer2                         = f112
asin_sgn_x                      = f113
asin_429by16                    = f114
asin_18by4                      = f115

asin_3by4                       = f116
asin_l3                         = f117
asin_T6                         = f118
asin_eps_exp                    = f119
asin_eps_sig                    = f120
asin_eps                        = f120

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

#ifdef _LIBC
.rodata
#else
.data
#endif

.align 16

asin_coeff_1_table:
ASM_TYPE_DIRECTIVE(asin_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 data bank conflict
ASM_SIZE_DIRECTIVE(asin_coeff_1_table)
	

asin_coeff_2_table:
ASM_TYPE_DIRECTIVE(asin_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(asin_coeff_2_table)



.align 32
.global asin

.section .text
.proc  asin
.align 32


asin:
 
{     .mfi 
     alloc      r32               = ar.pfs,1,6,4,0
     fma.s1    asin_tx        =    f8,f8,f0
     addl      ASIN_Addr2     =    @ltoff(asin_coeff_2_table),gp
} 
{     .mfi 
     mov       ASIN_FFFE      =    0xFFFE
     fnma.s1   asin_t         =    f8,f8,f1
     addl      ASIN_Addr1     =    @ltoff(asin_coeff_1_table),gp
}
;;

 
{     .mfi 
     setf.exp       asin_1by2      =    ASIN_FFFE
     fmerge.s       asin_abs_x     =    f1,f8
     nop.i          999              ;;
} 
 
{     .mmf 
     ld8       ASIN_Addr1     =    [ASIN_Addr1]
     ld8       ASIN_Addr2     =    [ASIN_Addr2]
     fmerge.s  asin_sgn_x     =    f8,f1 ;;
} 

 
{     .mfi 
     ldfe      asin_coeff_P7  =    [ASIN_Addr1],16
     fma.s1    asin_tx2       =    asin_tx,asin_tx,f0
     nop.i                      999
} 
{     .mfi 
     ldfe      asin_coeff_P6  =    [ASIN_Addr2],16
     fma.s1    asin_t2        =    asin_t,asin_t,f0
     nop.i                      999;;
}

 
{     .mmf 
     ldfe      asin_coeff_P18 =    [ASIN_Addr1],16
     ldfe      asin_coeff_P17 =    [ASIN_Addr2],16
     fclass.m.unc p8,p0  = f8, 0xc3	//@qnan |@snan
} 
;;
 
{     .mmf 
     ldfe           asin_coeff_P5  =    [ASIN_Addr1],16
     ldfe      asin_coeff_P4  =    [ASIN_Addr2],16
     frsqrta.s1     asin_y0,p0     =    asin_t
} 
;;
 
{     .mfi 
     ldfe      asin_coeff_P16 =    [ASIN_Addr1],16
     fcmp.gt.s1 p9,p0 = asin_abs_x,f1
     nop.i                      999
} 
{     .mfb 
     ldfe      asin_coeff_P15 =    [ASIN_Addr2],16
(p8) fma.d     f8 = f8,f1,f0
(p8) br.ret.spnt b0
}
;;

 
{     .mmf 
     ldfe      asin_coeff_P20 =    [ASIN_Addr1],16
     ldfe      asin_coeff_P19 =    [ASIN_Addr2],16
     fclass.m.unc p8,p0 = f8, 0x07	//@zero
} 
;;
 

{     .mfi 
     ldfe      asin_coeff_P9  =    [ASIN_Addr1],16
     fma.s1    asin_t4        =    asin_t2,asin_t2,f0
(p9) mov GR_Parameter_Tag = 61 
} 
{     .mfi 
     ldfe      asin_coeff_P8  =    [ASIN_Addr2],16
     fma.s1    asin_3by2      =    asin_1by2,f1,f1
     nop.i                      999;;
}

 
{     .mfi 
     ldfe      asin_coeff_P2  =    [ASIN_Addr2],16
     fma.s1    asin_tx4       =    asin_tx2,asin_tx2,f0
     nop.i                      999
} 
{     .mfb 
     ldfe      asin_coeff_P3  =    [ASIN_Addr1],16
     fma.s1    asin_t3        =    asin_t,asin_t2,f0
(p8) br.ret.spnt b0
}
;;

 
{     .mfi 
     ldfe      asin_coeff_P13 =    [ASIN_Addr2],16
     fma.s1    asin_H0        =    asin_y0,asin_1by2,f0
     nop.i                      999
} 
{     .mfb 
     ldfe      asin_coeff_P14 =    [ASIN_Addr1],16
     fma.s1    asin_S0        =    asin_y0,asin_t,f0
(p9) br.cond.spnt  __libm_error_region
}
;;

 
{     .mfi 
     ldfe      asin_coeff_P11 =    [ASIN_Addr2],16
     fcmp.eq.s1 p6,p0 = asin_abs_x,f1
     nop.i                      999
} 
{     .mfi 
     ldfe      asin_coeff_P12 =    [ASIN_Addr1],16
     fma.s1    asin_tx3       =    asin_tx,asin_tx2,f0
     nop.i                      999;;
}

 
{     .mfi 
     ldfe      asin_coeff_P10 =    [ASIN_Addr2],16
     fma.s1    asin_1poly_p6  =    asin_tx,asin_coeff_P7,asin_coeff_P6
     nop.i                      999
} 
{     .mfi 
     ldfe      asin_coeff_P1  =    [ASIN_Addr1],16
     fma.s1    asin_poly_p6   =    asin_t,asin_coeff_P7,asin_coeff_P6
     nop.i                      999;;
}

 
{     .mfi 
     ldfe      asin_const_sqrt2by2 =    [ASIN_Addr2],16
     fma.s1    asin_5by2           =    asin_3by2,f1,f1
     nop.i                           999
} 
{     .mfi 
     ldfe      asin_coeff_P21 =    [ASIN_Addr1],16
     fma.s1    asin_11by4     =    asin_3by2,asin_3by2,asin_1by2
     nop.i                      999;;
}

 
{     .mfi 
     ldfe      asin_const_piby2    =    [ASIN_Addr1],16
     fma.s1    asin_poly_p17       =    asin_t,asin_coeff_P18,asin_coeff_P17
     nop.i                           999
} 
{     .mfb 
     nop.m                 999
     fma.s1    asin_3by4 =    asin_3by2,asin_1by2,f0
(p6) br.cond.spnt  L(ASIN_ABS_1)      // Branch to short exit if |x|=1
}
;;

 
{     .mfi 
     addl ASIN_lnorm_sig = -0x1,r0  // Form significand 0xffffffffffffffff
     fma.s1    asin_poly_p15  =    asin_t,asin_coeff_P16,asin_coeff_P15
     nop.i                      999
} 
{     .mfi 
     addl ASIN_snorm_exp = 0x0c001,r0  // Form small exponent
     fnma.s1   asin_d    =    asin_S0,asin_H0,asin_1by2
     nop.i                 999;;
}

 
// Form the exponent and significand of a small number
{     .mfi 
     setf.sig asin_eps_sig = ASIN_lnorm_sig
     fma.s1    asin_poly_p19  =    asin_t,asin_coeff_P20,asin_coeff_P19
     nop.i                      999
} 
{     .mfi 
     setf.exp asin_eps_exp = ASIN_snorm_exp
     fma.s1    asin_poly_p4   =    asin_t,asin_coeff_P5,asin_coeff_P4
     nop.i                      999;;
}

 
{     .mfi 
     nop.m                      999
     fma.s1    asin_1poly_p17 =    asin_tx,asin_coeff_P18,asin_coeff_P17
     nop.i                      999
} 
{     .mfi 
     nop.m                      999
     fma.s1    asin_poly_p8   =    asin_t,asin_coeff_P9,asin_coeff_P8
     nop.i                      999;;
}

 
{     .mfi 
     nop.m                      999
     fms.s1    asin_35by8     =    asin_5by2,asin_11by4,asin_5by2
     nop.i                      999
} 
{     .mfi 
     nop.m                      999
     fma.s1    asin_63by8     =    asin_5by2,asin_11by4,f1
     nop.i                      999;;
}

 
{     .mfi 
     nop.m                      999
     fma.s1    asin_poly_p13  =    asin_t,asin_coeff_P14,asin_coeff_P13
     nop.i                      999
} 
{     .mfi 
     nop.m                      999
     fma.s1    asin_18by4     =    asin_3by2,asin_5by2,asin_3by4
     nop.i                      999;;
}

 
{     .mfi 
     nop.m                 999
     fma.s1    asin_l1   =    asin_5by2,asin_d,asin_3by2
     nop.i                 999
} 
{     .mfi 
     nop.m                 999
     fma.s1    asin_d2   =    asin_d,asin_d,f0
     nop.i                 999;;
}

 
{     .mfi 
     nop.m                      999
     fma.s1    asin_poly_p15  =    asin_t2,asin_poly_p17,asin_poly_p15
     nop.i                      999
} 
{     .mfi 
     nop.m                 999
     fma.s1    asin_T0   =    asin_d,asin_S0,f0
     nop.i                 999;;
}

 
{     .mfi 
     nop.m                      999
     fma.s1    asin_poly_p19  =    asin_t2,asin_coeff_P21,asin_poly_p19
     nop.i                      999
} 
{     .mfi 
     nop.m                      999
     fma.s1    asin_poly_p4   =    asin_t2,asin_poly_p6,asin_poly_p4
     nop.i                      999;;
}

 
{     .mfi 
     nop.m                 999
     fma.s1    asin_d1   =    asin_35by8,asin_d,f0
     nop.i                 999
} 
{     .mfi 
     nop.m                      999
     fma.s1    asin_231by16   =    asin_3by2,asin_35by8,asin_63by8
     nop.i                      999;;
}

 
{     .mfi 
     nop.m                      999
     fma.s1    asin_poly_p2   =    asin_t,asin_coeff_P3,asin_coeff_P2
     nop.i                      999
} 
{     .mfi 
     nop.m                      999
     fma.s1    asin_poly_p8   =    asin_t2,asin_coeff_P10,asin_poly_p8
     nop.i                      999;;
}

 
{     .mfi 
     nop.m                      999
     fma.s1    asin_poly_p11  =    asin_t,asin_coeff_P12,asin_coeff_P11
     nop.i                      999
} 
{     .mfi 
     nop.m                 999
     fma.s1    asin_e0   =    asin_d2,asin_l1,asin_d
     nop.i                 999;;
}

 
{     .mfi 
     nop.m                      999
     fma.s1    asin_1poly_p15 =    asin_tx,asin_coeff_P16,asin_coeff_P15
     nop.i                      999
} 
{     .mfi 
     nop.m                      999
     fma.s1    asin_poly_p0   =    asin_t,asin_coeff_P1,f1
     nop.i                      999;;
}

 
{     .mfi 
     nop.m                      999
     fma.s1    asin_1poly_p19 =    asin_tx,asin_coeff_P20,asin_coeff_P19
     nop.i                      999
} 
{     .mfi 
     nop.m                      999
     fma.s1    asin_1poly_p4  =    asin_tx,asin_coeff_P5,asin_coeff_P4
     nop.i                      999;;
}

 
{     .mfi 
     nop.m                      999
     fma.s1    asin_1poly_p8  =    asin_tx,asin_coeff_P9,asin_coeff_P8
     nop.i                      999
} 
{     .mfi 
     nop.m                 999
     fma.s1    asin_l2   =    asin_231by16,asin_d,asin_63by8
     nop.i                 999;;
}

 
{     .mfi 
     nop.m                 999
     fma.s1    asin_d3   =    asin_d2,asin_d,f0
     nop.i                 999
} 
{     .mfi 
     nop.m                 999
     fma.s1    asin_T3   =    asin_d2,asin_T0,f0
     nop.i                 999;;
}

 
{     .mfi 
     nop.m                      999
     fma.s1    asin_429by16   =    asin_18by4,asin_11by4,asin_231by16
     nop.i                      999
} 
{     .mfi 
     nop.m                 999
     fma.s1    asin_S1   =    asin_e0,asin_S0,asin_S0
     nop.i                 999;;
}

 
{     .mfi 
     nop.m                      999
     fma.s1    asin_poly_p4   =    asin_t4,asin_poly_p8,asin_poly_p4
     nop.i                      999
} 
{     .mfi 
     nop.m                      999
     fma.s1    asin_poly_p15  =    asin_t4,asin_poly_p19,asin_poly_p15
     nop.i                      999;;
}

 
{     .mfi 
     nop.m                      999
     fma.s1    asin_poly_p0   =    asin_t2,asin_poly_p2,asin_poly_p0
     nop.i                      999
} 
{     .mfi 
     nop.m                      999
     fma.s1    asin_poly_p11  =    asin_t2,asin_poly_p13,asin_poly_p11
     nop.i                      999;;
}

 
{     .mfi 
     nop.m                 999
     fma.s1    asin_t8   =    asin_t4,asin_t4,f0
     nop.i                 999
} 
{     .mfi 
     nop.m                 999
     fma.s1    asin_e1   =    asin_d2,asin_l2,asin_d1
     nop.i                 999;;
}

 
{     .mfi 
     nop.m                      999
     fma.s1    asin_1poly_p4  =    asin_tx2,asin_1poly_p6,asin_1poly_p4
     nop.i                      999
} 
{     .mfi 
     nop.m                      999
     fma.s1    asin_1poly_p15 =    asin_tx2,asin_1poly_p17,asin_1poly_p15
     nop.i                      999;;
}

 
{     .mfi 
     nop.m                      999
     fma.s1    asin_1poly_p8  =    asin_tx2,asin_coeff_P10,asin_1poly_p8
     nop.i                      999
} 
{     .mfi 
     nop.m                      999
     fma.s1    asin_1poly_p19 =    asin_tx2,asin_coeff_P21,asin_1poly_p19
     nop.i                      999;;
}

 
{     .mfi 
     nop.m                      999
     fma.s1    asin_1poly_p2  =    asin_tx,asin_coeff_P3,asin_coeff_P2
     nop.i                      999
} 
{     .mfi 
     nop.m                      999
     fma.s1    asin_1poly_p13 =    asin_tx,asin_coeff_P14,asin_coeff_P13
     nop.i                      999;;
}

 
{     .mfi 
     nop.m                      999
     fma.s1    asin_1poly_p0  =    asin_tx,asin_coeff_P1,f1
     nop.i                      999
} 
{     .mfi 
     nop.m                      999
     fma.s1    asin_1poly_p11 =    asin_tx,asin_coeff_P12,asin_coeff_P11
     nop.i                      999;;
}

 
{     .mfi 
     nop.m                 999
     fma.s1    asin_l3   =    asin_429by16,asin_d,f0
     nop.i                 999
} 
{     .mfi 
     nop.m                 999
     fma.s1    asin_z    =    asin_e1,asin_T3,asin_S1
     nop.i                 999;;
}

 
{     .mfi 
     nop.m                      999
     fma.s1    asin_poly_p11  =    asin_t4,asin_poly_p15,asin_poly_p11
     nop.i                      999
} 
{     .mfi 
     nop.m                 999
     fma.s1    asin_T6   =    asin_T3,asin_d3,f0
     nop.i                 999;;
}

 
{     .mfi 
     nop.m                 999
     fma.s1    asin_t11  =    asin_t8,asin_t3,f0
     nop.i                 999
} 
{     .mfi 
     nop.m                      999
     fma.s1    asin_poly_p0   =    asin_t4,asin_poly_p4,asin_poly_p0
     nop.i                      999;;
}

 
{     .mfi 
     nop.m                      999
     fma.s1    asin_1poly_p4  =    asin_tx4,asin_1poly_p8,asin_1poly_p4
     nop.i                      999
} 
{     .mfi 
     nop.m                      999
     fma.s1    asin_1poly_p15 =    asin_tx4,asin_1poly_p19,asin_1poly_p15
     nop.i                      999;;
}

 
{     .mfi 
     nop.m                      999
     fma.s1    asin_1poly_p0  =    asin_tx2,asin_1poly_p2,asin_1poly_p0
     nop.i                      999
} 
{     .mfi 
     nop.m                      999
     fma.s1    asin_1poly_p11 =    asin_tx2,asin_1poly_p13,asin_1poly_p11
     nop.i                      999;;
}

 
{     .mfi 
     nop.m                                                         999
//     fcmp.le.s1     asin_pred_LEsqrt2by2,asin_pred_GTsqrt2by2    =    asin_abs_x,asin_const_sqrt2by2
     fcmp.le.s1     p7,p8    =    asin_abs_x,asin_const_sqrt2by2
     nop.i                                                         999
} 
{     .mfi 
     nop.m                 999
     fma.s1    asin_tx8  =    asin_tx4,asin_tx4,f0
     nop.i                 999;;
}

 
// Form a small number to force inexact flag for small args 
{     .mfi 
     nop.m                 999
     fmerge.se asin_eps = asin_eps_exp,asin_eps_sig
     nop.i                 999
} 
{     .mfi 
     nop.m                 999
     fma.s1    asin_z    =    asin_l3,asin_T6,asin_z
     nop.i                 999;;
} 
 
{     .mfi 
     nop.m                      999
     fma.s1    asin_series_t  =    asin_t11,asin_poly_p11,asin_poly_p0
     nop.i                      999;;
} 
 
{     .mfi 
     nop.m                      999
     fma.s1    asin_1poly_p0  =    asin_tx4,asin_1poly_p4,asin_1poly_p0
     nop.i                      999
} 
{     .mfi 
     nop.m                      999
     fma.s1    asin_1poly_p11 =    asin_tx4,asin_1poly_p15,asin_1poly_p11
     nop.i                      999;;
}

 
{     .mfi 
     nop.m                 999
     fma.s1    asin_tx11 =    asin_tx8,asin_tx3,f0
     nop.i                 999;;
} 
 
{     .mfi 
                         nop.m                 999
//(asin_pred_GTsqrt2by2)   fnma.s1      answer2   =    asin_z,asin_series_t,asin_const_piby2
(p8)   fnma.s1      answer2   =    asin_z,asin_series_t,asin_const_piby2
                         nop.i                 999;;
} 
 
{     .mfi 
     nop.m                      999
     fma.s1    asin_series_tx =    asin_tx11,asin_1poly_p11,asin_1poly_p0
     nop.i                      999;;
} 
 
{     .mfi 
                         nop.m                 999
//(asin_pred_GTsqrt2by2)   fma.d     f8   =    asin_sgn_x,answer2,f0
(p8)   fma.d     f8   =    asin_sgn_x,answer2,f0
                         nop.i                 999;;
} 
 
// asin_eps is added only to force inexact and possibly underflow flag 
// in case asin_series_tx is zero
//
{     .mfi 
                         nop.m                 999
(p7)   fma.d     asin_eps   =    f8,asin_series_tx,asin_eps
                         nop.i                 999
} 
{     .mfb 
                         nop.m                 999
//(asin_pred_LEsqrt2by2)   fma.d     f8   =    f8,asin_series_tx,f0
(p7)   fma.d     f8   =    f8,asin_series_tx,f0
       br.ret.sptk b0
} 
;;


L(ASIN_ABS_1):
// Here for short exit if |x|=1
{     .mfb 
     nop.m                      999
     fma.d    f8 =    asin_sgn_x,asin_const_piby2,f0
     br.ret.sptk b0
} 
;;


.endp asin
ASM_SIZE_DIRECTIVE(asin)

.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