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
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
|
/* -*- Mode: Asm -*- */
;; Copyright (C) 2012-2013
;; Free Software Foundation, Inc.
;; Contributed by Sean D'Epagnier (sean@depagnier.com)
;; Georg-Johann Lay (avr@gjlay.de)
;; This file is free software; you can redistribute it and/or modify it
;; under the terms of the GNU General Public License as published by the
;; Free Software Foundation; either version 3, or (at your option) any
;; later version.
;; In addition to the permissions in the GNU General Public License, the
;; Free Software Foundation gives you unlimited permission to link the
;; compiled version of this file into combinations with other programs,
;; and to distribute those combinations without any restriction coming
;; from the use of this file. (The General Public License restrictions
;; do apply in other respects; for example, they cover modification of
;; the file, and distribution when not linked into a combine
;; executable.)
;; This file is distributed in the hope that it will be useful, but
;; WITHOUT ANY WARRANTY; without even the implied warranty of
;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
;; General Public License for more details.
;; You should have received a copy of the GNU General Public License
;; along with this program; see the file COPYING. If not, write to
;; the Free Software Foundation, 51 Franklin Street, Fifth Floor,
;; Boston, MA 02110-1301, USA.
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; Fixed point library routines for AVR
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
.section .text.libgcc.fixed, "ax", @progbits
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; Conversions to float
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
#if defined (L_fractqqsf)
DEFUN __fractqqsf
;; Move in place for SA -> SF conversion
clr r22
mov r23, r24
;; Sign-extend
lsl r24
sbc r24, r24
mov r25, r24
XJMP __fractsasf
ENDF __fractqqsf
#endif /* L_fractqqsf */
#if defined (L_fractuqqsf)
DEFUN __fractuqqsf
;; Move in place for USA -> SF conversion
clr r22
mov r23, r24
;; Zero-extend
clr r24
clr r25
XJMP __fractusasf
ENDF __fractuqqsf
#endif /* L_fractuqqsf */
#if defined (L_fracthqsf)
DEFUN __fracthqsf
;; Move in place for SA -> SF conversion
wmov 22, 24
;; Sign-extend
lsl r25
sbc r24, r24
mov r25, r24
XJMP __fractsasf
ENDF __fracthqsf
#endif /* L_fracthqsf */
#if defined (L_fractuhqsf)
DEFUN __fractuhqsf
;; Move in place for USA -> SF conversion
wmov 22, 24
;; Zero-extend
clr r24
clr r25
XJMP __fractusasf
ENDF __fractuhqsf
#endif /* L_fractuhqsf */
#if defined (L_fracthasf)
DEFUN __fracthasf
;; Move in place for SA -> SF conversion
clr r22
mov r23, r24
mov r24, r25
;; Sign-extend
lsl r25
sbc r25, r25
XJMP __fractsasf
ENDF __fracthasf
#endif /* L_fracthasf */
#if defined (L_fractuhasf)
DEFUN __fractuhasf
;; Move in place for USA -> SF conversion
clr r22
mov r23, r24
mov r24, r25
;; Zero-extend
clr r25
XJMP __fractusasf
ENDF __fractuhasf
#endif /* L_fractuhasf */
#if defined (L_fractsqsf)
DEFUN __fractsqsf
XCALL __floatsisf
;; Divide non-zero results by 2^31 to move the
;; decimal point into place
tst r25
breq 0f
subi r24, exp_lo (31)
sbci r25, exp_hi (31)
0: ret
ENDF __fractsqsf
#endif /* L_fractsqsf */
#if defined (L_fractusqsf)
DEFUN __fractusqsf
XCALL __floatunsisf
;; Divide non-zero results by 2^32 to move the
;; decimal point into place
cpse r25, __zero_reg__
subi r25, exp_hi (32)
ret
ENDF __fractusqsf
#endif /* L_fractusqsf */
#if defined (L_fractsasf)
DEFUN __fractsasf
XCALL __floatsisf
;; Divide non-zero results by 2^15 to move the
;; decimal point into place
tst r25
breq 0f
subi r24, exp_lo (15)
sbci r25, exp_hi (15)
0: ret
ENDF __fractsasf
#endif /* L_fractsasf */
#if defined (L_fractusasf)
DEFUN __fractusasf
XCALL __floatunsisf
;; Divide non-zero results by 2^16 to move the
;; decimal point into place
cpse r25, __zero_reg__
subi r25, exp_hi (16)
ret
ENDF __fractusasf
#endif /* L_fractusasf */
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; Conversions from float
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
#if defined (L_fractsfqq)
DEFUN __fractsfqq
;; Multiply with 2^{24+7} to get a QQ result in r25
subi r24, exp_lo (-31)
sbci r25, exp_hi (-31)
XCALL __fixsfsi
mov r24, r25
ret
ENDF __fractsfqq
#endif /* L_fractsfqq */
#if defined (L_fractsfuqq)
DEFUN __fractsfuqq
;; Multiply with 2^{24+8} to get a UQQ result in r25
subi r25, exp_hi (-32)
XCALL __fixunssfsi
mov r24, r25
ret
ENDF __fractsfuqq
#endif /* L_fractsfuqq */
#if defined (L_fractsfha)
DEFUN __fractsfha
;; Multiply with 2^{16+7} to get a HA result in r25:r24
subi r24, exp_lo (-23)
sbci r25, exp_hi (-23)
XJMP __fixsfsi
ENDF __fractsfha
#endif /* L_fractsfha */
#if defined (L_fractsfuha)
DEFUN __fractsfuha
;; Multiply with 2^24 to get a UHA result in r25:r24
subi r25, exp_hi (-24)
XJMP __fixunssfsi
ENDF __fractsfuha
#endif /* L_fractsfuha */
#if defined (L_fractsfhq)
FALIAS __fractsfsq
DEFUN __fractsfhq
;; Multiply with 2^{16+15} to get a HQ result in r25:r24
;; resp. with 2^31 to get a SQ result in r25:r22
subi r24, exp_lo (-31)
sbci r25, exp_hi (-31)
XJMP __fixsfsi
ENDF __fractsfhq
#endif /* L_fractsfhq */
#if defined (L_fractsfuhq)
FALIAS __fractsfusq
DEFUN __fractsfuhq
;; Multiply with 2^{16+16} to get a UHQ result in r25:r24
;; resp. with 2^32 to get a USQ result in r25:r22
subi r25, exp_hi (-32)
XJMP __fixunssfsi
ENDF __fractsfuhq
#endif /* L_fractsfuhq */
#if defined (L_fractsfsa)
DEFUN __fractsfsa
;; Multiply with 2^15 to get a SA result in r25:r22
subi r24, exp_lo (-15)
sbci r25, exp_hi (-15)
XJMP __fixsfsi
ENDF __fractsfsa
#endif /* L_fractsfsa */
#if defined (L_fractsfusa)
DEFUN __fractsfusa
;; Multiply with 2^16 to get a USA result in r25:r22
subi r25, exp_hi (-16)
XJMP __fixunssfsi
ENDF __fractsfusa
#endif /* L_fractsfusa */
;; For multiplication the functions here are called directly from
;; avr-fixed.md instead of using the standard libcall mechanisms.
;; This can make better code because GCC knows exactly which
;; of the call-used registers (not all of them) are clobbered. */
/*******************************************************
Fractional Multiplication 8 x 8 without MUL
*******************************************************/
#if defined (L_mulqq3) && !defined (__AVR_HAVE_MUL__)
;;; R23 = R24 * R25
;;; Clobbers: __tmp_reg__, R22, R24, R25
;;; Rounding: ???
DEFUN __mulqq3
XCALL __fmuls
;; TR 18037 requires that (-1) * (-1) does not overflow
;; The only input that can produce -1 is (-1)^2.
dec r23
brvs 0f
inc r23
0: ret
ENDF __mulqq3
#endif /* L_mulqq3 && ! HAVE_MUL */
/*******************************************************
Fractional Multiply .16 x .16 with and without MUL
*******************************************************/
#if defined (L_mulhq3)
;;; Same code with and without MUL, but the interfaces differ:
;;; no MUL: (R25:R24) = (R22:R23) * (R24:R25)
;;; Clobbers: ABI, called by optabs
;;; MUL: (R25:R24) = (R19:R18) * (R27:R26)
;;; Clobbers: __tmp_reg__, R22, R23
;;; Rounding: -0.5 LSB <= error <= 0.5 LSB
DEFUN __mulhq3
XCALL __mulhisi3
;; Shift result into place
lsl r23
rol r24
rol r25
brvs 1f
;; Round
sbrc r23, 7
adiw r24, 1
ret
1: ;; Overflow. TR 18037 requires (-1)^2 not to overflow
ldi r24, lo8 (0x7fff)
ldi r25, hi8 (0x7fff)
ret
ENDF __mulhq3
#endif /* defined (L_mulhq3) */
#if defined (L_muluhq3)
;;; Same code with and without MUL, but the interfaces differ:
;;; no MUL: (R25:R24) *= (R23:R22)
;;; Clobbers: ABI, called by optabs
;;; MUL: (R25:R24) = (R19:R18) * (R27:R26)
;;; Clobbers: __tmp_reg__, R22, R23
;;; Rounding: -0.5 LSB < error <= 0.5 LSB
DEFUN __muluhq3
XCALL __umulhisi3
;; Round
sbrc r23, 7
adiw r24, 1
ret
ENDF __muluhq3
#endif /* L_muluhq3 */
/*******************************************************
Fixed Multiply 8.8 x 8.8 with and without MUL
*******************************************************/
#if defined (L_mulha3)
;;; Same code with and without MUL, but the interfaces differ:
;;; no MUL: (R25:R24) = (R22:R23) * (R24:R25)
;;; Clobbers: ABI, called by optabs
;;; MUL: (R25:R24) = (R19:R18) * (R27:R26)
;;; Clobbers: __tmp_reg__, R22, R23
;;; Rounding: -0.5 LSB <= error <= 0.5 LSB
DEFUN __mulha3
XCALL __mulhisi3
lsl r22
rol r23
rol r24
XJMP __muluha3_round
ENDF __mulha3
#endif /* L_mulha3 */
#if defined (L_muluha3)
;;; Same code with and without MUL, but the interfaces differ:
;;; no MUL: (R25:R24) *= (R23:R22)
;;; Clobbers: ABI, called by optabs
;;; MUL: (R25:R24) = (R19:R18) * (R27:R26)
;;; Clobbers: __tmp_reg__, R22, R23
;;; Rounding: -0.5 LSB < error <= 0.5 LSB
DEFUN __muluha3
XCALL __umulhisi3
XJMP __muluha3_round
ENDF __muluha3
#endif /* L_muluha3 */
#if defined (L_muluha3_round)
DEFUN __muluha3_round
;; Shift result into place
mov r25, r24
mov r24, r23
;; Round
sbrc r22, 7
adiw r24, 1
ret
ENDF __muluha3_round
#endif /* L_muluha3_round */
/*******************************************************
Fixed Multiplication 16.16 x 16.16
*******************************************************/
;; Bits outside the result (below LSB), used in the signed version
#define GUARD __tmp_reg__
#if defined (__AVR_HAVE_MUL__)
;; Multiplier
#define A0 16
#define A1 A0+1
#define A2 A1+1
#define A3 A2+1
;; Multiplicand
#define B0 20
#define B1 B0+1
#define B2 B1+1
#define B3 B2+1
;; Result
#define C0 24
#define C1 C0+1
#define C2 C1+1
#define C3 C2+1
#if defined (L_mulusa3)
;;; (C3:C0) = (A3:A0) * (B3:B0)
DEFUN __mulusa3
set
;; Fallthru
ENDF __mulusa3
;;; Round for last digit iff T = 1
;;; Return guard bits in GUARD (__tmp_reg__).
;;; Rounding, T = 0: -1.0 LSB < error <= 0 LSB
;;; Rounding, T = 1: -0.5 LSB < error <= 0.5 LSB
DEFUN __mulusa3_round
;; Some of the MUL instructions have LSBs outside the result.
;; Don't ignore these LSBs in order to tame rounding error.
;; Use C2/C3 for these LSBs.
clr C0
clr C1
mul A0, B0 $ movw C2, r0
mul A1, B0 $ add C3, r0 $ adc C0, r1
mul A0, B1 $ add C3, r0 $ adc C0, r1 $ rol C1
;; Round if T = 1. Store guarding bits outside the result for rounding
;; and left-shift by the signed version (function below).
brtc 0f
sbrc C3, 7
adiw C0, 1
0: push C3
;; The following MULs don't have LSBs outside the result.
;; C2/C3 is the high part.
mul A0, B2 $ add C0, r0 $ adc C1, r1 $ sbc C2, C2
mul A1, B1 $ add C0, r0 $ adc C1, r1 $ sbci C2, 0
mul A2, B0 $ add C0, r0 $ adc C1, r1 $ sbci C2, 0
neg C2
mul A0, B3 $ add C1, r0 $ adc C2, r1 $ sbc C3, C3
mul A1, B2 $ add C1, r0 $ adc C2, r1 $ sbci C3, 0
mul A2, B1 $ add C1, r0 $ adc C2, r1 $ sbci C3, 0
mul A3, B0 $ add C1, r0 $ adc C2, r1 $ sbci C3, 0
neg C3
mul A1, B3 $ add C2, r0 $ adc C3, r1
mul A2, B2 $ add C2, r0 $ adc C3, r1
mul A3, B1 $ add C2, r0 $ adc C3, r1
mul A2, B3 $ add C3, r0
mul A3, B2 $ add C3, r0
;; Guard bits used in the signed version below.
pop GUARD
clr __zero_reg__
ret
ENDF __mulusa3_round
#endif /* L_mulusa3 */
#if defined (L_mulsa3)
;;; (C3:C0) = (A3:A0) * (B3:B0)
;;; Clobbers: __tmp_reg__, T
;;; Rounding: -0.5 LSB <= error <= 0.5 LSB
DEFUN __mulsa3
clt
XCALL __mulusa3_round
;; A posteriori sign extension of the operands
tst B3
brpl 1f
sub C2, A0
sbc C3, A1
1: sbrs A3, 7
rjmp 2f
sub C2, B0
sbc C3, B1
2:
;; Shift 1 bit left to adjust for 15 fractional bits
lsl GUARD
rol C0
rol C1
rol C2
rol C3
;; Round last digit
lsl GUARD
adc C0, __zero_reg__
adc C1, __zero_reg__
adc C2, __zero_reg__
adc C3, __zero_reg__
ret
ENDF __mulsa3
#endif /* L_mulsa3 */
#undef A0
#undef A1
#undef A2
#undef A3
#undef B0
#undef B1
#undef B2
#undef B3
#undef C0
#undef C1
#undef C2
#undef C3
#else /* __AVR_HAVE_MUL__ */
#define A0 18
#define A1 A0+1
#define A2 A0+2
#define A3 A0+3
#define B0 22
#define B1 B0+1
#define B2 B0+2
#define B3 B0+3
#define C0 22
#define C1 C0+1
#define C2 C0+2
#define C3 C0+3
;; __tmp_reg__
#define CC0 0
;; __zero_reg__
#define CC1 1
#define CC2 16
#define CC3 17
#define AA0 26
#define AA1 AA0+1
#define AA2 30
#define AA3 AA2+1
#if defined (L_mulsa3)
;;; (R25:R22) *= (R21:R18)
;;; Clobbers: ABI, called by optabs
;;; Rounding: -1 LSB <= error <= 1 LSB
DEFUN __mulsa3
push B0
push B1
push B3
clt
XCALL __mulusa3_round
pop r30
;; sign-extend B
bst r30, 7
brtc 1f
;; A1, A0 survived in R27:R26
sub C2, AA0
sbc C3, AA1
1:
pop AA1 ;; B1
pop AA0 ;; B0
;; sign-extend A. A3 survived in R31
bst AA3, 7
brtc 2f
sub C2, AA0
sbc C3, AA1
2:
;; Shift 1 bit left to adjust for 15 fractional bits
lsl GUARD
rol C0
rol C1
rol C2
rol C3
;; Round last digit
lsl GUARD
adc C0, __zero_reg__
adc C1, __zero_reg__
adc C2, __zero_reg__
adc C3, __zero_reg__
ret
ENDF __mulsa3
#endif /* L_mulsa3 */
#if defined (L_mulusa3)
;;; (R25:R22) *= (R21:R18)
;;; Clobbers: ABI, called by optabs
;;; Rounding: -1 LSB <= error <= 1 LSB
DEFUN __mulusa3
set
;; Fallthru
ENDF __mulusa3
;;; A[] survives in 26, 27, 30, 31
;;; Also used by __mulsa3 with T = 0
;;; Round if T = 1
;;; Return Guard bits in GUARD (__tmp_reg__), used by signed version.
DEFUN __mulusa3_round
push CC2
push CC3
; clear result
clr __tmp_reg__
wmov CC2, CC0
; save multiplicand
wmov AA0, A0
wmov AA2, A2
rjmp 3f
;; Loop the integral part
1: ;; CC += A * 2^n; n >= 0
add CC0,A0 $ adc CC1,A1 $ adc CC2,A2 $ adc CC3,A3
2: ;; A <<= 1
lsl A0 $ rol A1 $ rol A2 $ rol A3
3: ;; IBIT(B) >>= 1
;; Carry = n-th bit of B; n >= 0
lsr B3
ror B2
brcs 1b
sbci B3, 0
brne 2b
;; Loop the fractional part
;; B2/B3 is 0 now, use as guard bits for rounding
;; Restore multiplicand
wmov A0, AA0
wmov A2, AA2
rjmp 5f
4: ;; CC += A:Guard * 2^n; n < 0
add B3,B2 $ adc CC0,A0 $ adc CC1,A1 $ adc CC2,A2 $ adc CC3,A3
5:
;; A:Guard >>= 1
lsr A3 $ ror A2 $ ror A1 $ ror A0 $ ror B2
;; FBIT(B) <<= 1
;; Carry = n-th bit of B; n < 0
lsl B0
rol B1
brcs 4b
sbci B0, 0
brne 5b
;; Save guard bits and set carry for rounding
push B3
lsl B3
;; Move result into place
wmov C2, CC2
wmov C0, CC0
clr __zero_reg__
brtc 6f
;; Round iff T = 1
adc C0, __zero_reg__
adc C1, __zero_reg__
adc C2, __zero_reg__
adc C3, __zero_reg__
6:
pop GUARD
;; Epilogue
pop CC3
pop CC2
ret
ENDF __mulusa3_round
#endif /* L_mulusa3 */
#undef A0
#undef A1
#undef A2
#undef A3
#undef B0
#undef B1
#undef B2
#undef B3
#undef C0
#undef C1
#undef C2
#undef C3
#undef AA0
#undef AA1
#undef AA2
#undef AA3
#undef CC0
#undef CC1
#undef CC2
#undef CC3
#endif /* __AVR_HAVE_MUL__ */
#undef GUARD
/*******************************************************
Fractional Division 8 / 8
*******************************************************/
#define r_divd r25 /* dividend */
#define r_quo r24 /* quotient */
#define r_div r22 /* divisor */
#define r_sign __tmp_reg__
#if defined (L_divqq3)
DEFUN __divqq3
mov r_sign, r_divd
eor r_sign, r_div
sbrc r_div, 7
neg r_div
sbrc r_divd, 7
neg r_divd
XCALL __divqq_helper
lsr r_quo
sbrc r_sign, 7 ; negate result if needed
neg r_quo
ret
ENDF __divqq3
#endif /* L_divqq3 */
#if defined (L_udivuqq3)
DEFUN __udivuqq3
cp r_divd, r_div
brsh 0f
XJMP __divqq_helper
;; Result is out of [0, 1) ==> Return 1 - eps.
0: ldi r_quo, 0xff
ret
ENDF __udivuqq3
#endif /* L_udivuqq3 */
#if defined (L_divqq_helper)
DEFUN __divqq_helper
clr r_quo ; clear quotient
inc __zero_reg__ ; init loop counter, used per shift
__udivuqq3_loop:
lsl r_divd ; shift dividend
brcs 0f ; dividend overflow
cp r_divd,r_div ; compare dividend & divisor
brcc 0f ; dividend >= divisor
rol r_quo ; shift quotient (with CARRY)
rjmp __udivuqq3_cont
0:
sub r_divd,r_div ; restore dividend
lsl r_quo ; shift quotient (without CARRY)
__udivuqq3_cont:
lsl __zero_reg__ ; shift loop-counter bit
brne __udivuqq3_loop
com r_quo ; complement result
; because C flag was complemented in loop
ret
ENDF __divqq_helper
#endif /* L_divqq_helper */
#undef r_divd
#undef r_quo
#undef r_div
#undef r_sign
/*******************************************************
Fractional Division 16 / 16
*******************************************************/
#define r_divdL 26 /* dividend Low */
#define r_divdH 27 /* dividend Hig */
#define r_quoL 24 /* quotient Low */
#define r_quoH 25 /* quotient High */
#define r_divL 22 /* divisor */
#define r_divH 23 /* divisor */
#define r_cnt 21
#if defined (L_divhq3)
DEFUN __divhq3
mov r0, r_divdH
eor r0, r_divH
sbrs r_divH, 7
rjmp 1f
NEG2 r_divL
1:
sbrs r_divdH, 7
rjmp 2f
NEG2 r_divdL
2:
cp r_divdL, r_divL
cpc r_divdH, r_divH
breq __divhq3_minus1 ; if equal return -1
XCALL __udivuhq3
lsr r_quoH
ror r_quoL
brpl 9f
;; negate result if needed
NEG2 r_quoL
9:
ret
__divhq3_minus1:
ldi r_quoH, 0x80
clr r_quoL
ret
ENDF __divhq3
#endif /* defined (L_divhq3) */
#if defined (L_udivuhq3)
DEFUN __udivuhq3
sub r_quoH,r_quoH ; clear quotient and carry
;; FALLTHRU
ENDF __udivuhq3
DEFUN __udivuha3_common
clr r_quoL ; clear quotient
ldi r_cnt,16 ; init loop counter
__udivuhq3_loop:
rol r_divdL ; shift dividend (with CARRY)
rol r_divdH
brcs __udivuhq3_ep ; dividend overflow
cp r_divdL,r_divL ; compare dividend & divisor
cpc r_divdH,r_divH
brcc __udivuhq3_ep ; dividend >= divisor
rol r_quoL ; shift quotient (with CARRY)
rjmp __udivuhq3_cont
__udivuhq3_ep:
sub r_divdL,r_divL ; restore dividend
sbc r_divdH,r_divH
lsl r_quoL ; shift quotient (without CARRY)
__udivuhq3_cont:
rol r_quoH ; shift quotient
dec r_cnt ; decrement loop counter
brne __udivuhq3_loop
com r_quoL ; complement result
com r_quoH ; because C flag was complemented in loop
ret
ENDF __udivuha3_common
#endif /* defined (L_udivuhq3) */
/*******************************************************
Fixed Division 8.8 / 8.8
*******************************************************/
#if defined (L_divha3)
DEFUN __divha3
mov r0, r_divdH
eor r0, r_divH
sbrs r_divH, 7
rjmp 1f
NEG2 r_divL
1:
sbrs r_divdH, 7
rjmp 2f
NEG2 r_divdL
2:
XCALL __udivuha3
lsr r_quoH ; adjust to 7 fractional bits
ror r_quoL
sbrs r0, 7 ; negate result if needed
ret
NEG2 r_quoL
ret
ENDF __divha3
#endif /* defined (L_divha3) */
#if defined (L_udivuha3)
DEFUN __udivuha3
mov r_quoH, r_divdL
mov r_divdL, r_divdH
clr r_divdH
lsl r_quoH ; shift quotient into carry
XJMP __udivuha3_common ; same as fractional after rearrange
ENDF __udivuha3
#endif /* defined (L_udivuha3) */
#undef r_divdL
#undef r_divdH
#undef r_quoL
#undef r_quoH
#undef r_divL
#undef r_divH
#undef r_cnt
/*******************************************************
Fixed Division 16.16 / 16.16
*******************************************************/
#define r_arg1L 24 /* arg1 gets passed already in place */
#define r_arg1H 25
#define r_arg1HL 26
#define r_arg1HH 27
#define r_divdL 26 /* dividend Low */
#define r_divdH 27
#define r_divdHL 30
#define r_divdHH 31 /* dividend High */
#define r_quoL 22 /* quotient Low */
#define r_quoH 23
#define r_quoHL 24
#define r_quoHH 25 /* quotient High */
#define r_divL 18 /* divisor Low */
#define r_divH 19
#define r_divHL 20
#define r_divHH 21 /* divisor High */
#define r_cnt __zero_reg__ /* loop count (0 after the loop!) */
#if defined (L_divsa3)
DEFUN __divsa3
mov r0, r_arg1HH
eor r0, r_divHH
sbrs r_divHH, 7
rjmp 1f
NEG4 r_divL
1:
sbrs r_arg1HH, 7
rjmp 2f
NEG4 r_arg1L
2:
XCALL __udivusa3
lsr r_quoHH ; adjust to 15 fractional bits
ror r_quoHL
ror r_quoH
ror r_quoL
sbrs r0, 7 ; negate result if needed
ret
;; negate r_quoL
XJMP __negsi2
ENDF __divsa3
#endif /* defined (L_divsa3) */
#if defined (L_udivusa3)
DEFUN __udivusa3
ldi r_divdHL, 32 ; init loop counter
mov r_cnt, r_divdHL
clr r_divdHL
clr r_divdHH
wmov r_quoL, r_divdHL
lsl r_quoHL ; shift quotient into carry
rol r_quoHH
__udivusa3_loop:
rol r_divdL ; shift dividend (with CARRY)
rol r_divdH
rol r_divdHL
rol r_divdHH
brcs __udivusa3_ep ; dividend overflow
cp r_divdL,r_divL ; compare dividend & divisor
cpc r_divdH,r_divH
cpc r_divdHL,r_divHL
cpc r_divdHH,r_divHH
brcc __udivusa3_ep ; dividend >= divisor
rol r_quoL ; shift quotient (with CARRY)
rjmp __udivusa3_cont
__udivusa3_ep:
sub r_divdL,r_divL ; restore dividend
sbc r_divdH,r_divH
sbc r_divdHL,r_divHL
sbc r_divdHH,r_divHH
lsl r_quoL ; shift quotient (without CARRY)
__udivusa3_cont:
rol r_quoH ; shift quotient
rol r_quoHL
rol r_quoHH
dec r_cnt ; decrement loop counter
brne __udivusa3_loop
com r_quoL ; complement result
com r_quoH ; because C flag was complemented in loop
com r_quoHL
com r_quoHH
ret
ENDF __udivusa3
#endif /* defined (L_udivusa3) */
#undef r_arg1L
#undef r_arg1H
#undef r_arg1HL
#undef r_arg1HH
#undef r_divdL
#undef r_divdH
#undef r_divdHL
#undef r_divdHH
#undef r_quoL
#undef r_quoH
#undef r_quoHL
#undef r_quoHH
#undef r_divL
#undef r_divH
#undef r_divHL
#undef r_divHH
#undef r_cnt
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; Saturation, 2 Bytes
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; First Argument and Return Register
#define A0 24
#define A1 A0+1
#if defined (L_ssneg_2)
DEFUN __ssneg_2
NEG2 A0
brvc 0f
sbiw A0, 1
0: ret
ENDF __ssneg_2
#endif /* L_ssneg_2 */
#if defined (L_ssabs_2)
DEFUN __ssabs_2
sbrs A1, 7
ret
XJMP __ssneg_2
ENDF __ssabs_2
#endif /* L_ssabs_2 */
#undef A0
#undef A1
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; Saturation, 4 Bytes
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; First Argument and Return Register
#define A0 22
#define A1 A0+1
#define A2 A0+2
#define A3 A0+3
#if defined (L_ssneg_4)
DEFUN __ssneg_4
XCALL __negsi2
brvc 0f
ldi A3, 0x7f
ldi A2, 0xff
ldi A1, 0xff
ldi A0, 0xff
0: ret
ENDF __ssneg_4
#endif /* L_ssneg_4 */
#if defined (L_ssabs_4)
DEFUN __ssabs_4
sbrs A3, 7
ret
XJMP __ssneg_4
ENDF __ssabs_4
#endif /* L_ssabs_4 */
#undef A0
#undef A1
#undef A2
#undef A3
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; Saturation, 8 Bytes
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; First Argument and Return Register
#define A0 18
#define A1 A0+1
#define A2 A0+2
#define A3 A0+3
#define A4 A0+4
#define A5 A0+5
#define A6 A0+6
#define A7 A0+7
#if defined (L_clr_8)
FALIAS __usneguta2
FALIAS __usneguda2
FALIAS __usnegudq2
;; Clear Carry and all Bytes
DEFUN __clr_8
;; Clear Carry and set Z
sub A7, A7
;; FALLTHRU
ENDF __clr_8
;; Propagate Carry to all Bytes, Carry unaltered
DEFUN __sbc_8
sbc A7, A7
sbc A6, A6
wmov A4, A6
wmov A2, A6
wmov A0, A6
ret
ENDF __sbc_8
#endif /* L_clr_8 */
#if defined (L_ssneg_8)
FALIAS __ssnegta2
FALIAS __ssnegda2
FALIAS __ssnegdq2
DEFUN __ssneg_8
XCALL __negdi2
brvc 0f
;; A[] = 0x7fffffff
sec
XCALL __sbc_8
ldi A7, 0x7f
0: ret
ENDF __ssneg_8
#endif /* L_ssneg_8 */
#if defined (L_ssabs_8)
FALIAS __ssabsta2
FALIAS __ssabsda2
FALIAS __ssabsdq2
DEFUN __ssabs_8
sbrs A7, 7
ret
XJMP __ssneg_8
ENDF __ssabs_8
#endif /* L_ssabs_8 */
;; Second Argument
#define B0 10
#define B1 B0+1
#define B2 B0+2
#define B3 B0+3
#define B4 B0+4
#define B5 B0+5
#define B6 B0+6
#define B7 B0+7
#if defined (L_usadd_8)
FALIAS __usadduta3
FALIAS __usadduda3
FALIAS __usaddudq3
DEFUN __usadd_8
XCALL __adddi3
brcs 0f
ret
0: ;; A[] = 0xffffffff
XJMP __sbc_8
ENDF __usadd_8
#endif /* L_usadd_8 */
#if defined (L_ussub_8)
FALIAS __ussubuta3
FALIAS __ussubuda3
FALIAS __ussubudq3
DEFUN __ussub_8
XCALL __subdi3
brcs 0f
ret
0: ;; A[] = 0
XJMP __clr_8
ENDF __ussub_8
#endif /* L_ussub_8 */
#if defined (L_ssadd_8)
FALIAS __ssaddta3
FALIAS __ssaddda3
FALIAS __ssadddq3
DEFUN __ssadd_8
XCALL __adddi3
brvc 0f
;; A = (B >= 0) ? INT64_MAX : INT64_MIN
cpi B7, 0x80
XCALL __sbc_8
subi A7, 0x80
0: ret
ENDF __ssadd_8
#endif /* L_ssadd_8 */
#if defined (L_sssub_8)
FALIAS __sssubta3
FALIAS __sssubda3
FALIAS __sssubdq3
DEFUN __sssub_8
XCALL __subdi3
brvc 0f
;; A = (B < 0) ? INT64_MAX : INT64_MIN
ldi A7, 0x7f
cp A7, B7
XCALL __sbc_8
subi A7, 0x80
0: ret
ENDF __sssub_8
#endif /* L_sssub_8 */
#undef A0
#undef A1
#undef A2
#undef A3
#undef A4
#undef A5
#undef A6
#undef A7
#undef B0
#undef B1
#undef B2
#undef B3
#undef B4
#undef B5
#undef B6
#undef B7
|