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
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515
1516
1517
1518
1519
1520
1521
1522
1523
1524
1525
1526
1527
1528
1529
1530
1531
1532
1533
1534
1535
1536
1537
1538
1539
1540
1541
1542
1543
1544
1545
1546
1547
1548
1549
1550
1551
1552
1553
1554
1555
1556
1557
1558
1559
1560
1561
1562
1563
1564
1565
1566
1567
1568
1569
1570
1571
1572
1573
1574
1575
1576
1577
1578
1579
1580
1581
1582
1583
1584
1585
1586
1587
1588
1589
1590
1591
1592
1593
1594
1595
1596
1597
1598
1599
1600
1601
1602
1603
1604
1605
1606
1607
1608
1609
1610
1611
1612
1613
1614
1615
1616
1617
1618
1619
1620
1621
1622
1623
1624
1625
1626
1627
1628
1629
1630
1631
1632
1633
1634
1635
1636
1637
1638
1639
1640
1641
1642
1643
1644
1645
1646
1647
1648
1649
1650
1651
1652
1653
1654
1655
1656
1657
1658
1659
1660
1661
1662
1663
1664
1665
1666
1667
1668
1669
1670
1671
1672
1673
1674
1675
1676
1677
1678
1679
1680
1681
1682
1683
1684
1685
1686
1687
1688
1689
1690
1691
1692
1693
1694
1695
1696
1697
1698
1699
1700
1701
1702
1703
1704
1705
1706
1707
1708
1709
1710
1711
1712
1713
1714
1715
1716
1717
1718
1719
1720
1721
1722
1723
1724
1725
1726
1727
1728
1729
1730
1731
1732
1733
1734
1735
1736
1737
1738
1739
1740
1741
1742
1743
1744
1745
1746
1747
1748
1749
1750
1751
1752
1753
1754
1755
1756
1757
1758
1759
1760
1761
1762
1763
1764
1765
|
;; Copyright (C) 2019-2023 Free Software Foundation, Inc.
;;
;; This file is part of LIBF7, which is part of GCC.
;;
;; GCC 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.
;;
;; GCC 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.
;;
;; Under Section 7 of GPL version 3, you are granted additional
;; permissions described in the GCC Runtime Library Exception, version
;; 3.1, as published by the Free Software Foundation.
;;
;; You should have received a copy of the GNU General Public License and
;; a copy of the GCC Runtime Library Exception along with this program;
;; see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
;; <http://www.gnu.org/licenses/>. */
#ifndef __AVR_TINY__
#define ASM_DEFS_HAVE_DEFUN
#include "asm-defs.h"
#include "libf7.h"
#define ZERO __zero_reg__
#define TMP __tmp_reg__
#define F7(name) F7_(name##_asm)
.macro F7call name
.global F7(\name\())
XCALL F7(\name\())
.endm
.macro F7jmp name
.global F7(\name\())
XJMP F7(\name\())
.endm
;; Just for visibility in disassembly.
.macro LLL name
.global LLL.\name
LLL.\name:
nop
.endm
.macro DEFUN name
.section .text.libf7.asm.\name, "ax", @progbits
.global F7(\name\())
.func F7(\name\())
F7(\name\()) :
.endm
.macro ENDF name
.size F7(\name\()), . - F7(\name\())
.endfunc
.endm
.macro LABEL name
.global F7(\name\())
F7(\name\()) :
.endm
.macro _DEFUN name
.section .text.libf7.asm.\name, "ax", @progbits
.weak \name
.type \name, @function
\name :
.endm
.macro _ENDF name
.size \name, . - \name
.endm
.macro _LABEL name
.weak \name
.type \name, @function
\name :
.endm
#define F7_NAME(X) F7_(X)
;; Make a weak alias.
.macro ALIAS sym
.weak \sym
.type \sym, @function
\sym:
.endm
;; Make a weak alias if double is 64 bits wide.
.macro DALIAS sym
#if defined (WITH_LIBF7_MATH_SYMBOLS) && __SIZEOF_DOUBLE__ == 8
ALIAS \sym
#endif
.endm
;; Make a weak alias if long double is 64 bits wide.
.macro LALIAS sym
#if defined (WITH_LIBF7_MATH_SYMBOLS) && __SIZEOF_LONG_DOUBLE__ == 8
ALIAS \sym
#endif
.endm
#define Off 1
#define Expo (Off + F7_MANT_BYTES)
#ifdef F7MOD_classify_
;; r24 = classify (*Z)
;; NaN -> F7_FLAG_nan
;; INF -> F7_FLAG_inf [ | F7_FLAG_sign ]
;; ==0 -> F7_FLAG_zero
;; ... -> 0 [ | F7_FLAG_sign ]
;; Clobbers: None (no TMP, no T).
DEFUN classify
ld r24, Z
lsr r24
brne .Lnan_or_inf
ldd r24, Z+6+Off
tst r24
brpl 0f
sbc r24, r24
andi r24, F7_FLAG_sign
ret
0: ldi r24, F7_FLAG_zero
ret
.Lnan_or_inf:
rol r24
ret
ENDF classify
#endif /* F7MOD_classify_ */
#ifdef F7MOD_clr_
DEFUN clr
std Z+0, ZERO
std Z+0+Off, ZERO
std Z+1+Off, ZERO
std Z+2+Off, ZERO
std Z+3+Off, ZERO
std Z+4+Off, ZERO
std Z+5+Off, ZERO
std Z+6+Off, ZERO
std Z+0+Expo, ZERO
std Z+1+Expo, ZERO
ret
ENDF clr
#endif /* F7MOD_clr_ */
#ifdef F7MOD_clz_
;; The libcc CLZ implementations like __clzsi2 aka. __builtin_clzl are
;; not very well suited for out purpose, so implement our own.
#define ZBITS r26
.macro .test.byte reg
or ZERO, \reg
brne .Loop_bit
subi ZBITS, -8
.endm
;; R26 = CLZ (uint64_t R18); CLZ (0) = 64.
;; Unchanged: T
DEFUN clzdi2
clr ZBITS
;; Catch the common case of normalized .mant for speed-up.
tst r25
brmi 9f
.test.byte r25
.test.byte r24
.test.byte r23
.test.byte r22
.test.byte r21
.test.byte r20
.test.byte r19
.test.byte r18
.Ldone:
clr ZERO
9: ret
.Loop_bit:
lsl ZERO
brcs .Ldone
inc ZBITS
rjmp .Loop_bit
ENDF clzdi2
#undef ZBITS
#endif /* F7MOD_clz_ */
#ifdef F7MOD_cmp_mant_
DEFUN cmp_mant
adiw X, 6 + Off
ld r24, X $ ldd TMP, Z+6+Off $ SUB r24, TMP
brne .Lunequal
sbiw X, 6
ld r24, X+ $ ldd TMP, Z+0+Off $ SUB r24, TMP
ld r24, X+ $ ldd TMP, Z+1+Off $ sbc r24, TMP
ld r24, X+ $ ldd TMP, Z+2+Off $ sbc r24, TMP
ld r24, X+ $ ldd TMP, Z+3+Off $ sbc r24, TMP
ld r24, X+ $ ldd TMP, Z+4+Off $ sbc r24, TMP
ld r24, X+ $ ldd TMP, Z+5+Off $ sbc r24, TMP
;; MSBs are already known to be equal
breq 9f
.Lunequal:
sbc r24, r24
sbci r24, -1
9: sbiw X, 6 + Off
ret
ENDF cmp_mant
#endif /* F7MOD_cmp_mant_ */
#define CA 18
#define C0 CA+1
#define C1 C0+1
#define C2 C0+2
#define C3 C0+3
#define C4 C0+4
#define C5 C0+5
#define C6 C0+6
#define Carry r16
#define Flags 18
#ifdef F7MOD_store_
;; Z->flags = CA.
;; Z->mant = C[7].
DEFUN store_mant.with_flags
st Z, CA
;; Z->mant = C[7].
LABEL store_mant
std Z+0+Off, C0
std Z+1+Off, C1
std Z+2+Off, C2
std Z+3+Off, C3
std Z+4+Off, C4
std Z+5+Off, C5
std Z+6+Off, C6
ret
ENDF store_mant.with_flags
#endif /* F7MOD_store_ */
#ifdef F7MOD_load_
;; CA = Z->flags
;; C[7] = Z->mant
DEFUN load_mant.with_flags
ld CA, Z
skipnext
;; CA = 0
;; C[7] = Z->mant
LABEL load_mant.clr_CA
LABEL load_mant.clr_flags
clr CA ; May be skipped
;; C[7] = Z->mant
LABEL load_mant
ldd C0, Z+0+Off
ldd C1, Z+1+Off
ldd C2, Z+2+Off
ldd C3, Z+3+Off
ldd C4, Z+4+Off
ldd C5, Z+5+Off
ldd C6, Z+6+Off
ret
ENDF load_mant.with_flags
#endif /* F7MOD_load_ */
#ifdef F7MOD_copy_
DEFUN copy
cp XL, ZL
cpc XH, ZH
breq 9f
adiw XL, F7_SIZEOF
adiw ZL, F7_SIZEOF
set
bld ZERO, 1
bld ZERO, 3 ; ZERO = 0b1010 = 10.
.Loop:
ld TMP, -X
st -Z, TMP
dec ZERO
brne .Loop
9: ret
ENDF copy
#endif /* F7MOD_copy_ */
#ifdef F7MOD_copy_P_
DEFUN copy_P
set
bld ZERO, 1
bld ZERO, 3 ; ZERO = 0b1010 = 10.
.Loop:
#ifdef __AVR_HAVE_LPMX__
lpm TMP, Z+
#else
lpm
adiw Z, 1
#endif /* Have LPMx */
st X+, TMP
dec ZERO
brne .Loop
sbiw X, F7_SIZEOF
sbiw Z, F7_SIZEOF
ret
ENDF copy_P
#endif /* F7MOD_copy_P_ */
#ifdef F7MOD_copy_mant_
DEFUN copy_mant
cp XL, ZL
cpc XH, ZH
breq 9f
adiw XL, 1
adiw ZL, 1
set
bld ZERO, 3
dec ZERO ; ZERO = 7
.Loop:
ld TMP, X+
st Z+, TMP
dec ZERO
brne .Loop
sbiw XL, 8
sbiw ZL, 8
9: ret
ENDF copy_mant
#endif /* F7MOD_copy_mant_ */
#ifdef F7MOD_clr_mant_lsbs_
DEFUN clr_mant_lsbs
push r16
mov r16, r20
wmov XL, r24
wmov ZL, r22
F7call load_mant
F7call lshrdi3
clr CA
F7call ashldi3
pop r16
wmov ZL, XL
F7jmp store_mant
ENDF clr_mant_lsbs
#endif /* F7MOD_clr_mant_lsbs_ */
#ifdef F7MOD_normalize_with_carry_
;; Z = &f7_t
;; C[] = .mant may be not normalized
;; Carry === r16 = Addend to Z->expo in [-64, 128).
;; Normalize C[], set Flags, and adjust Z->expo.
;; Return CA (after normalization) in TMP.
;; Unchanged: T
#define Addend r17
#define Zbits r26
#define expL r26
#define expH r27
DEFUN normalize_with_carry
mov Addend, Carry
tst C6
brmi .Lshift.0
;; r26 = CLZ (uint64_t R18)
F7call clzdi2
cpi Zbits, 64
breq .Lclr
sub Addend, Zbits
mov r16, Zbits
F7call ashldi3
;; Assert (R25.7 == 1)
.Lshift.0:
mov TMP, CA
ld Flags, Z
;; .expo += Addend
ldd expL, Z+0+Expo
ldd expH, Z+1+Expo
;; Sign-extend Addend
clr r16
sbrc Addend, 7
com r16
;; exp += (int8_t) Addend, i.e. sign-extend Addend.
add expL, Addend
adc expH, r16
brvc .Lnormal
tst r16
brmi .Lclr
;; Overflow
#if F7_HAVE_Inf == 1
ori Flags, F7_FLAG_inf
#else
ldi Flags, F7_FLAG_nan
#endif /* Have Inf */
ret
.Lnormal:
std Z+0+Expo, expL
std Z+1+Expo, expH
ret
.Lclr:
;; Underflow or Zero.
clr TMP
.global __clr_8
XJMP __clr_8
LABEL normalize.store_with_flags
;; no rounding
set
skipnext
LABEL normalize.round.store_with_flags
;; with rounding
clt ; skipped ?
LABEL normalize.maybe_round.store_with_flags
F7call normalize_with_carry
;; We have:
;; Z = &f7_t
;; X = .expo
;; C[] = .mant
;; R18 = .flags
;; TMP = byte below .mant after normalization
;; T = 1 => no rounding.
brts .Lstore
lsl TMP
adc C0, ZERO
brcc .Lstore
adc C1, ZERO
adc C2, ZERO
adc C3, ZERO
adc C4, ZERO
adc C5, ZERO
adc C6, ZERO
brcc .Lstore
;; We only come here if C6 overflowed, i.e. C[] is 0 now.
;; .mant = 1.0 by restoring the MSbit.
ror C6
;; .expo += 1 and override the .expo stored during normalize.
adiw expL, 1
std Z+0+Expo, expL
std Z+1+Expo, expH
.Lstore:
F7call store_mant.with_flags
;; Return the byte below .mant after normalization.
;; This is only useful without rounding; the caller will know.
mov R24, TMP
ret
ENDF normalize_with_carry
#endif /* F7MOD_normalize_with_carry_ */
#ifdef F7MOD_normalize_
;; Using above functionality from C.
;; f7_t* normalize (f7_t *cc)
;; Adjusts cc->expo
;; Clears cc->flags
DEFUN normalize
push r17
push r16
wmov ZL, r24
F7call load_mant.clr_CA
clr Carry
st Z, ZERO
F7call normalize.store_with_flags
wmov r24, Z
pop r16
pop r17
ret
ENDF normalize
#endif /* F7MOD_normalize_ */
#ifdef F7MOD_store_expo_
#define Done r24
#define expLO r24
#define expHI r25
;; expo == INT16_MAX => *Z = Inf, return Done = true.
;; expo == INT16_MIN => *Z = 0x0, return Done = true.
;; else => Z->expo = expo, return Done = false.
DEFUN store_expo
cpi expHI, 0x80
cpc expLO, ZERO
breq .Ltiny
adiw expLO, 1
brvs .Lhuge
sbiw expLO, 1
std Z+0+Expo, expLO
std Z+1+Expo, expHI
ldi Done, 0
ret
.Lhuge:
#if F7_HAVE_Inf == 1
ld Done, Z
andi Done, F7_FLAG_sign
ori Done, F7_FLAG_inf
#else
ldi Done, F7_FLAG_nan
#endif /* Have Inf */
st Z, Done
ldi Done, 1
ret
.Ltiny:
ldi Done, 1
F7jmp clr
ENDF store_expo
#endif /* F7MOD_store_expo_ */
#ifdef F7MOD_set_u64_
DEFUN set_s64
set
skipnext
;; ...
LABEL set_u64
clt ; Skipped?
wmov Zl, r16
;; TMP holds .flags.
clr TMP
brtc .Lnot.negative
bst C6, 7
brtc .Lnot.negative
bld TMP, F7_FLAGNO_sign
.global __negdi2
XCALL __negdi2
.Lnot.negative:
st Z, TMP
std Z+0+Expo, ZERO
std Z+1+Expo, ZERO
ldi Carry, 63
F7call normalize.round.store_with_flags
wmov r24, Z
wmov r16, Z ; Unclobber r16.
ret
ENDF set_s64
#endif /* F7MOD_set_u64_ */
#ifdef F7MOD_to_integer_
#define Mask r26
DEFUN to_integer
wmov ZL, r24
mov Mask, r22
F7call load_mant.with_flags
sbrc Flags, F7_FLAGNO_nan
rjmp .Lset_0x8000
sbrc Flags, F7_FLAGNO_inf
rjmp .Lsaturate
sbrs C6, 7
rjmp .Lset_0x0000
bst Flags, F7_FLAGNO_sign
ldd r27, Z+0+Expo
;; Does .expo have bits outside Mask? ...
mov TMP, Mask
com TMP
and TMP, r27
ldd r27, Z+1+Expo
tst r27
brmi .Lset_0x0000 ; ...yes: .expo is < 0 => return 0
or TMP, r27
brne .Lsaturate.T ; ...yes: .expo > Mask => saturate
;; ...no: Shift right to meet .expo = 0.
PUSH r16
ldd r16, Z+0+Expo
eor r16, Mask
and r16, Mask
clr CA
F7call lshrdi3
POP r16
tst C6
brmi .Lsaturate.T ; > INTxx_MAX => saturate
brtc 9f ; >= 0 => return
sbrc Mask, 5
.global __negdi2
XJMP __negdi2
sbrc Mask, 4
.global __negsi2
XJMP __negsi2
neg C6
neg C5
sbci C6, 0
9: ret
.Lsaturate:
bst Flags, F7_FLAGNO_sign
.Lsaturate.T:
#if F7_HAVE_Inf
brtc .Lset_0x7fff
;; -Inf => return 1 + INTxx_MIN
mov ZL, Flags
.global __clr_8
XCALL __clr_8
ldi C6, 0x80
ldi CA+0, 0x01
sbrs Mask, 5
ldi CA+4, 0x01
sbrs Mask, 4
ldi CA+6, 0x01
ret
.Lset_0x7fff:
;; +Inf => return INTxx_MAX
sec
.global __sbc_8
XCALL __sbc_8
ldi C6, 0x7f
ret
#endif /* F7_HAVE_Inf */
.Lset_0x8000:
;; NaN => return INTxx_MIN
.global __clr_8
XCALL __clr_8
ldi C6, 0x80
ret
.Lset_0x0000:
;; Small value => return 0x0
.global __clr_8
XJMP __clr_8
ENDF to_integer
#endif /* F7MOD_to_integer_ */
#ifdef F7MOD_to_unsigned_
#define Mask r26
DEFUN to_unsigned
wmov ZL, r24
mov Mask, r22
F7call load_mant.with_flags
sbrc Flags, F7_FLAGNO_nan
rjmp .Lset_0xffff
sbrc Flags, F7_FLAGNO_sign
rjmp .Lset_0x0000
sbrc Flags, F7_FLAGNO_inf
rjmp .Lset_0xffff
sbrs C6, 7
rjmp .Lset_0x0000
ldd r27, Z+0+Expo
;; Does .expo have bits outside Mask? ...
mov TMP, Mask
com TMP
and TMP, r27
ldd r27, Z+1+Expo
tst r27
brmi .Lset_0x0000 ; ...yes: .expo is < 0 => return 0
or TMP, r27
brne .Lset_0xffff ; ...yes: .expo > Mask => saturate
;; ...no: Shift right to meet .expo = 0.
PUSH r16
ldd r16, Z+0+Expo
eor r16, Mask
and r16, Mask
clr CA
F7call lshrdi3
POP r16
ret
.Lset_0xffff:
;; return UINTxx_MAX
sec
.global __sbc_8
XJMP __sbc_8
.Lset_0x0000:
;; Small value => return 0x0
.global __clr_8
XJMP __clr_8
ENDF to_unsigned
#endif /* F7MOD_to_unsigned_ */
#ifdef F7MOD_addsub_mant_scaled_
;; int8_t f7_addsub_mant_scaled_asm (f7_t *r24, const f7_t *r22, const f7_t 20*,
;; uint8_t r18);
;; R18.0 = 1 : ADD
;; R18.0 = 0 : SUB
;; R18[7..1] : Scale
;; Compute *R24 = *R22 + *R20 >> R18[7..1].
#define BA 10
#define B0 BA+1
#define B1 B0+1
#define B2 B0+2
#define B3 B0+3
#define B4 B0+4
#define B5 B0+5
#define B6 B0+6
DEFUN addsub_mant_scaled
do_prologue_saves 10
bst r18, 0 ;; ADD ?
lsr r18
mov r16, r18
wmov ZL, r20
wmov YL, r22
;; C[] = bb >> shift
wmov XL, r24
F7call load_mant.clr_CA
F7call lshrdi3
wmov BA, CA
wmov B1, C1
wmov B3, C3
wmov B5, C5
wmov ZL, YL
F7call load_mant.clr_CA
wmov ZL, XL
brts .Ladd
.global __subdi3
XCALL __subdi3
breq .Lzero
brcc .Lround
;; C = 1: Can underflow happen at all ?
.Lzero:
F7call clr
rjmp .Lepilogue
.Ladd:
.global __adddi3
XCALL __adddi3
brcc .Lround
ldi Carry, 1
.global __lshrdi3
XCALL __lshrdi3
ori C6, 1 << 7
skipnext
.Lround:
clr Carry ; skipped?
F7call normalize.round.store_with_flags
.Lepilogue:
do_epilogue_restores 10
ENDF addsub_mant_scaled
#if !defined (__AVR_HAVE_MOVW__) || !defined (__AVR_HAVE_JMP_CALL__)
DEFUN lshrdi3
.global __lshrdi3
XJMP __lshrdi3
ENDF lshrdi3
DEFUN ashldi3
.global __ashldi3
XJMP __ashldi3
ENDF ashldi3
#else
# Basically just a wrapper around libgcc's __lshrdi3.
DEFUN lshrdi3
;; Handle bit 5 of shift offset.
sbrs r16, 5
rjmp 4f
wmov CA, C3
wmov C1, C5
clr C6 $ clr C5 $ wmov C3, C5
4:
;; Handle bit 4 of shift offset.
sbrs r16, 4
rjmp 3f
wmov CA, C1
wmov C1, C3
wmov C3, C5
clr C6 $ clr C5
3:
;; Handle bits 3...0 of shift offset.
push r16
andi r16, 0xf
breq 0f
.global __lshrdi3
XCALL __lshrdi3
0:
pop r16
ret
ENDF lshrdi3
# Basically just a wrapper around libgcc's __ashldi3.
DEFUN ashldi3
;; Handle bit 5 of shift offset.
sbrs r16, 5
rjmp 4f
wmov C5, C1
wmov C3, CA
clr C2 $ clr C1 $ wmov CA, C1
4:
;; Handle bit 4 of shift offset.
sbrs r16, 4
rjmp 3f
wmov C5, C3
wmov C3, C1
wmov C1, CA
clr CA $ clr C0
3:
;; Handle bits 3...0 of shift offset.
push r16
andi r16, 0xf
breq 0f
.global __ashldi3
XCALL __ashldi3
0:
pop r16
ret
ENDF ashldi3
#endif /* Small device */
#endif /* F7MOD_addsub_mant_scaled_ */
#if defined F7MOD_mul_mant_ && defined (__AVR_HAVE_MUL__)
#define A0 11
#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 TT0 26
#define TT1 TT0+1
#define TT2 28
#define TT3 TT2+1
#define BB 10
;; R18.0 = 1: No rounding.
DEFUN mul_mant
;; 10 = Y, R17...R10
do_prologue_saves 10
;; T = R18.0: Skip rounding?
bst r18, 0
;; Save result address for later.
push r25
push r24
;; Load A's mantissa.
movw ZL, r22
LDD A0, Z+0+Off
LDD A1, Z+1+Off
LDD A2, Z+2+Off
LDD A3, Z+3+Off
LDD A4, Z+4+Off
LDD A5, Z+5+Off
LDD A6, Z+6+Off
movw ZL, r20
;; 6 * 6 -> 6:5
;; 4 * 6 -> 4:3
;; 2 * 6 -> 2:1
;; 0 * 6 -> 0:a
ldd BB, Z+6+Off
mul A6, BB $ movw C5, r0
mul A4, BB $ movw C3, r0
mul A2, BB $ movw C1, r0
mul A0, BB $ movw CA, r0
;; 5 * 6 -> 5:4
;; 3 * 6 -> 3:2
;; 1 * 6 -> 1:0
mul A5, BB $ movw TT2, r0
mul A3, BB $ movw TT0, r0
mul A1, BB
ADD C0, r0 $ adc C1, r1
adc C2, TT0 $ adc C3, TT1
adc C4, TT2 $ adc C5, TT3 $ clr ZERO
adc C6, ZERO
;; Done B6
;; 6 * 5 -> 5:4
;; 4 * 5 -> 3:2
;; 2 * 5 -> 1:0
;; 0 * 5 -> a:-
ldd BB, Z+5+Off
mul A0, BB
;; Done A0
#define Atmp A0
#define Null A0
mov Atmp, r1
mul A6, BB $ movw TT2, r0
mul A4, BB $ movw TT0, r0
mul A2, BB
ADD CA, Atmp
adc C0, r0 $ adc C1, r1
adc C2, TT0 $ adc C3, TT1
adc C4, TT2 $ adc C5, TT3 $ clr Null
adc C6, Null
;; 1 * 5 -> 0:a
;; 3 * 5 -> 2:1
;; 5 * 5 -> 4:3
mul A1, BB $ movw TT0, r0
mul A3, BB $ movw TT2, r0
mul A5, BB
ADD CA, TT0 $ adc C0, TT1
adc C1, TT2 $ adc C2, TT3
adc C3, r0 $ adc C4, r1
adc C5, Null $ adc C6, Null
;; Done B5
;; 2 * 4 -> 0:a
;; 4 * 4 -> 2:1
;; 6 * 4 -> 4:3
ldd BB, Z+4+Off
mul A2, BB $ movw TT0, r0
mul A4, BB $ movw TT2, r0
mul A6, BB
ADD CA, TT0 $ adc C0, TT1
adc C1, TT2 $ adc C2, TT3
adc C3, r0 $ adc C4, r1
adc C5, Null $ adc C6, Null
;; 1 * 4 -> a:-
;; 3 * 4 -> 1:0
;; 5 * 4 -> 3:2
mul A1, BB $ mov TT1, r1
mul A3, BB $ movw TT2, r0
mul A5, BB
;; Done A1
;; Done B4
ADD CA, TT1
adc C0, TT2 $ adc C1, TT3
adc C2, r0 $ adc C3, r1
;; Accumulate carry for C3 in TT1.
;; Accumulate carry for C4 in A1.
#define Cry3 TT1
#define Cry4 A1
clr Cry3
clr Cry4
rol Cry4
;; 6 * 2 -> 2:1
;; 6 * 3 -> 3:2
;; 5 * 3 -> 2:1
ldd BB, Z+2+Off
mul A6, BB
add C1, r0
adc C2, r1
adc Cry3, Null
ldd BB, Z+3+Off
mul A6, BB
add C2, r0
adc C3, r1
adc Cry4, Null
mul A5, BB
add C1, r0
adc C2, r1
adc Cry3, Null
;; Perform the remaining 11 multiplications in 4 loopings:
;; 4 * 3 -> 1:0
;; 3 * 3 -> 0:a
;; 2 * 3 -> a:-
;;
;; 5 * 2 -> 1:0
;; 4 * 2 -> 0:a
;; 3 * 2 -> a:-
;;
;; 6 * 1 -> 1:0
;; 5 * 1 -> 0:a
;; 4 * 1 -> a:-
;;
;; . * 0 -> 1:0 (=0)
;; 6 * 0 -> 0:a
;; 5 * 0 -> a:-
;; BB already contains B3, hence let Z point one past B2 so that
;; the LD *, -Z below will pick up B2, B1, B0.
adiw r30, 1 + Off+2
;; Accumulate carry for C2 in TT2.
#define Cry2 TT2
clr Cry2
;; TT3 is the loop counter, iterate over B3...B0.
ldi TT3, 4
rjmp .Loop_start
.Loop:
;; We use A2...A4 below; so shift bytes of A into place.
mov A2, A3
mov A3, A4
mov A4, A5
mov A5, A6
clr A6
ld BB, -Z
.Loop_start:
mul A3, BB
ADD CA, r0 $ adc C0, r1 $ adc C1, Null $ adc Cry2, Null
MUL A2, BB
mov TT0, r1
MUL A4, BB
ADD CA, TT0 $ adc C0, r0 $ adc C1, r1 $ adc Cry2, Null
dec TT3
brne .Loop
clr ZERO
ADD C2, Cry2
adc C3, Cry3
adc C4, Cry4
adc C5, ZERO
adc C6, ZERO
;; Finally...
pop ZL
pop ZH
;; The high byte is at least 0x40 and at most 0xfe.
;; The result has to be left-shifted by one in order to scale it
;; correctly.
ldi Carry, 1
F7call normalize.maybe_round.store_with_flags
do_epilogue_restores 10
ENDF mul_mant
#endif /* F7MOD_mul_mant_ && MUL */
#if defined F7MOD_mul_mant_ && ! defined (__AVR_HAVE_MUL__)
#define AA TMP
#define A0 13
#define A1 A0+1
#define A2 A0+2
#define A3 A0+3
#define A4 A0+4
#define A5 r26
#define A6 r27
#define BB ZERO
#define Bits r29
#define Bytes r28
DEFUN mul_mant
do_prologue_saves 7
bst r18, 0 ; T = 1: Don't round.
;; Save result address for later.
push r25
push r24
;; Load 1st operand mantissa.
wmov r30, r22
clr AA
LDD A0, Z+0+Off
LDD A1, Z+1+Off
LDD A2, Z+2+Off
LDD A3, Z+3+Off
LDD A4, Z+4+Off
LDD A5, Z+5+Off
LDD A6, Z+6+Off
;; Let Z point one past .mant of the 2nd input operand.
wmov r30, r20
adiw r30, Expo
;; Clear the result mantissa.
.global __clr_8
XCALL __clr_8
;; Loop over the bytes of B's mantissa from highest to lowest.
;; "+1" because we jump into the loop.
ldi Bytes, 1 + F7_MANT_BYTES
;; Divide one operand by 2 so that the result mantissa won't overflow.
;; This is accounted for by "Carry = 1" below.
ldi Bits, 1
rjmp .Loop_entry
.Loop_bytes:
ld BB, -Z
;; Loop over the bits of B's mantissa from highest to lowest.
ldi Bits, 8
.Loop_bits:
lsl BB
brcc .Lnext_bit
ADD CA, AA
adc C0, A0
adc C1, A1
adc C2, A2
adc C3, A3
adc C4, A4
adc C5, A5
adc C6, A6
.Lnext_bit:
.Loop_entry:
LSR A6
ror A5
ror A4
ror A3
ror A2
ror A1
ror A0
ror AA
dec Bits
brne .Loop_bits
dec Bytes
brne .Loop_bytes
;; Finally...
pop ZL
pop ZH
;; The result has to be left-shifted by one (multiplied by 2) in order
;; to undo the division by 2 of the 1st operand.
ldi Carry, 1
F7call normalize.maybe_round.store_with_flags
do_epilogue_restores 7
ENDF mul_mant
#endif /* F7MOD_mul_mant_ && ! MUL */
#if defined (F7MOD_div_)
;; Dividend is C[]
;; Divisor
#define A0 9
#define A1 10
#define A2 11
#define A3 12
#define A4 13
#define A5 14
#define A6 15
;; Quotient
#define Q0 0 /* === TMP */
#define Q1 Q0+1 /* === ZERO */
#define Q2 26
#define Q3 Q2+1
#define Q4 28
#define Q5 Q4+1
#define Q6 16
#define Q7 Q6+1
#define Cnt CA
#define QBits r8
DEFUN div
do_prologue_saves 12
;; Number of bits requested for the quotient.
;; This is usually 2 + F7_MANT_BITS.
mov QBits, r20
wmov ZL, r22
LDD A0, Z+0+Off
LDD A1, Z+1+Off
LDD A2, Z+2+Off
LDD A3, Z+3+Off
LDD A4, Z+4+Off
LDD A5, Z+5+Off
LDD A6, Z+6+Off
wmov ZL, r24
F7call load_mant
;; Clear quotient Q[].
clr Q0 ; === TMP
;clr Q1 ; === ZERO
wmov Q2, Q0
wmov Q4, Q0
wmov Q6, Q0
;; C[] and A[] are valid mantissae, i.e. their MSBit is set. Therefore,
;; quotient Q[] will be in [0x0.ff..., 0x0.40...] and to adjust Q[] we
;; need at most 1 left-shift. Compute F7_MANT_BITS + 2 bits of the
;; quotient: One bit is used for rounding, and one bit might be consumed
;; by the mentioned left-shift.
mov Cnt, QBits
rjmp .Loop_start
.Loop:
;; Shift dividend.
LSL C0
rol C1
rol C2
rol C3
rol C4
rol C5
rol C6
brcs .Lfits
;; Compare dividend against divisor.
.Loop_start:
CP C0, A0
cpc C1, A1
cpc C2, A2
cpc C3, A3
cpc C4, A4
cpc C5, A5
cpc C6, A6
;; Shift 0 into quotient.
brlo 1f
.Lfits:
;; Divisor fits into dividend.
SUB C0, A0
sbc C1, A1
sbc C2, A2
sbc C3, A3
sbc C4, A4
sbc C5, A5
sbc C6, A6
;; Shift 1 into quotient.
sec
rol Q0
skipnext
1: lsl Q0
rol Q1
rol Q2
rol Q3
rol Q4
rol Q5
rol Q6
rol Q7
dec Cnt
brne .Loop
wmov CA, Q0
wmov C1, Q2
wmov C3, Q4
wmov C5, Q6
clr ZERO
ldi Carry, 64
sub Carry, QBits
F7call normalize.round.store_with_flags
do_epilogue_restores 12
ENDF div
#endif /* F7MOD_div_ */
#if defined (F7MOD_sqrt16_) && defined (__AVR_HAVE_MUL__)
#define Mask C6
#define Q0 C3 /* = R22 */
#define Q1 C4 /* = R23 */
;; uint16_t R24 = sqrt16_XXX (uint16_t R24);
;; Clobbers: R22, R23, TMP.
;;
;; XXX = floor: Return integral part of square-root of R25:R24 with R25 = 0.
;; Error is in [0, -1 LSB).
;; XXX = round: Return quare-root of R25:R24 rounded to nearest integer.
;; R25 = (Q[] >= 65281) = (Q > 0xff00), i.e. if Q[] is not
;; bigger than 0xff00, then the result fits in 8 bits.
;; Return C = 0 if the result is the same as for XXX = floor,
;; error in [0, -1/2 LSB)
;; Return C = 1 if the result is one higher than for XXX = floor,
;; error in [1/2 LSB, 0).
DEFUN sqrt16_round
set
skipnext
;; ...
LABEL sqrt16_floor
clt ; Skipped?
movw Q0, r24
clr C5
ldi Mask, 1 << 7
.Loop_mask:
add C5, Mask
mul C5, C5
cp Q0, R0
cpc Q1, R1
brsh 1f
sub C5, Mask
1: lsr Mask
brne .Loop_mask
brtc .Ldone ; No rounding => C6 will be 0.
;; Rounding: (X + 1/2)^2 = X^2 + X + 1/4, thus probing
;; for bit -1 is testing Q[] against C5^2 + C5.
mul C5, C5
add R0, C5
adc R1, C6 ; Exploit C6 === Mask = 0.
cp R0, Q0
cpc R1, Q1
brcc .Ldone
;; If C5^2 + C5 + 1/4 fits into Q[], then round up and C = 1.
adiw C5, 1 ; Exploit C6 === Mask = 0.
sec
.Ldone:
clr __zero_reg__
ret
ENDF sqrt16_round
#undef Mask
#undef Q0
#undef Q1
#endif /* F7MOD_sqrt16_ && MUL */
#ifdef F7MOD_sqrt_approx_
DEFUN sqrt_approx
push r17
push r16
wmov XL, r24
wmov ZL, r22
;; C[] = 0.
.global __clr_8
XCALL __clr_8
ldd C5, Z+5+Off
ldd C6, Z+6+Off
ldd Carry, Z+0+Expo
ldd TMP, Z+1+Expo
wmov ZL, XL
st Z, ZERO
asr TMP
ror Carry
std Z+1+Expo, TMP
std Z+0+Expo, Carry
;; Re-interpreting our Q-format 1.xx mantissa as Q2.yy, we have to shift
;; the mantissa to the right by 1. As we need an even exponent, multiply
;; the mantissa by 2 for odd exponents, i.e. only right-shift if .expo
;; is even.
brcs 1f
lsr C6
ror C5
1:
F7call sqrt16_round
;; sqrt16_round() returns: C = 0: error in [0, -1/2 LSB).
;; C = 1: error in [1/2 LSB, 0)
brcc 2f
;; Undo the round-up from sqrt16_round(); this will transform to
;; error in [-1/2 LSB, -1 LSB).
sbiw C5, 1
;; Together with the correct bit C4.7, the error is in [0, -1/2 LSB).
ori C4, 1 << 7
2: ;; Setting C4.6 adds 1/4 LSB and the error is now in [1/4 LSB, -1/4 LSB)
;; in either case.
ori C4, 1 << 6
;; ????????????
;; sqrt16_round() runs on integers which means that it computes the
;; square root of mant * 2^14 if we regard mant as Q-format 2.yy,
;; i.e. 2 integral bits. The result is sqrt(mant) * 2^7,
;; and in order to get the same scaling like the input, .expo has to
;; be adjusted by 7. ???????????????
ldi Carry, 8
F7call normalize.store_with_flags
pop r16
pop r17
ret
ENDF sqrt_approx
#endif /* F7MOD_sqrt_approx_ */
#undef CA
#undef C0
#undef C1
#undef C2
#undef C3
#undef C4
#undef C5
#undef C6
#undef Carry
#ifdef F7MOD_D_fma_
_DEFUN __fma
DALIAS fma
LALIAS fmal
#define n_pushed 4
#define n_frame (2 * F7_SIZEOF)
do_prologue_saves n_pushed, n_frame
;; Y = FramePointer + 1
adiw Y, 1
;; FP + 1 = (f7_t) arg1
wmov r16, Y
;; The double argument arg1 is already in R18[].
XCALL F7_NAME (set_double_impl)
;; The double argument arg2 is in R10[]. Move it to R18[].
wmov r18, r10
wmov r20, r12
wmov r22, r14
;; R16, R17 are clobbered. Fetch them from where prologue_saves put them.
ldd r24, Y + n_frame + 3 ; Saved R16
ldd r25, Y + n_frame + 2 ; Saved R17
;; FP + 1 + 10 = (f7_t) arg2
subi r16, lo8 (-F7_SIZEOF)
sbci r17, hi8 (-F7_SIZEOF)
XCALL F7_NAME (set_double_impl)
wmov r24, Y ; &arg1
wmov r22, r16 ; &arg2
XCALL F7_NAME (Imul) ; arg1 *= arg2
;; The 3rd double argument arg3 was passed on the stack. Move it to R18[],
;; Don't use f7_set_pdouble() because that function is unused (for now).
.irp n, 0, 1, 2, 3, 4, 5, 6, 7
ldd 18+\n, Y + n_frame + n_pushed + PC_SIZE + \n
.endr
XCALL F7_NAME (set_double_impl)
wmov r24, Y ; &arg1
wmov r22, r16 ; &arg2
XCALL F7_NAME (Iadd) ; arg1 += arg2
wmov r24, Y ; &arg1
XCALL F7_NAME (get_double)
do_epilogue_restores n_pushed, n_frame
_ENDF __fma
#endif /* F7MOD_D_fma_ */
#ifdef F7MOD_D_fabs_
_DEFUN __fabs
DALIAS fabs
LALIAS fabsl
andi R25, 0b01111111
ret
_ENDF __fabs
#endif /* F7MOD_D_fabs_ */
#ifdef F7MOD_D_neg_
_DEFUN __neg
_LABEL __negdf2
subi R25, 0b10000000
ret
_ENDF __neg
#endif /* F7MOD_D_neg_ */
#ifdef F7MOD_D_signbit_
_DEFUN __signbit
DALIAS signbit
LALIAS signbitl
bst R25, 7
clr R25
clr R24
bld R24, 0
ret
_ENDF __signbit
#endif /* F7MOD_D_signbit_ */
#ifdef F7MOD_D_copysign_
_DEFUN __copysign
DALIAS copysign
LALIAS copysignl
bst R17, 7
bld R25, 7
ret
_ENDF __copysign
#endif /* F7MOD_D_copysign_ */
#ifdef F7MOD_D_isinf_
_DEFUN __isinf
DALIAS isinf
LALIAS isinfl
F7call class_D
;; Inf: T = Z = 1.
brtc 0f
ldi R24, 1
breq 1f
0:
clr R24
1:
clr R25
ret
_ENDF __isinf
#endif /* F7MOD_D_isinf_ */
#ifdef F7MOD_D_isnan_
_DEFUN __isnan
DALIAS isnan
LALIAS isnanl
F7call class_D
;; NaN: T = 1, Z = 0.
brtc 0f
ldi R24, 1
brne 1f
0:
clr R24
1:
clr R25
ret
_ENDF __isnan
#endif /* F7MOD_D_isnan_ */
#ifdef F7MOD_D_isfinite_
_DEFUN __isfinite
DALIAS isfinite
LALIAS isfinitel
F7call class_D
;; Number <=> T = 0.
bld R24, 0
com R24
andi R24, 1
clr R25
ret
_ENDF __isfinite
#endif /* F7MOD_D_isfinite_ */
#ifdef F7MOD_D_class_
;; The encoded exponent has 11 Bits.
#define MAX_BIASED_EXPO 0b0111111111110000
;; Classify a double in R18[]
;; Number: T-Flag = 0.
;; +-Inf : T-Flag = 1, Z-Flag = 1.
;; NaN : T-Flag = 1, Z-Flag = 0.
DEFUN class_D
wmov R26, R24
andi R26, lo8 (MAX_BIASED_EXPO)
andi R27, hi8 (MAX_BIASED_EXPO)
subi R26, lo8 (MAX_BIASED_EXPO)
sbci R27, hi8 (MAX_BIASED_EXPO)
clt
brne .L.number
set
;; Set sign and expo to 0.
clr R25
andi R24, lo8 (~MAX_BIASED_EXPO)
;; What remains is the mantissa.
;; Mantissa == 0 => +/-Inf.
;; Mantissa != 0 => NaN.
;; Compare R18[] against sign_extend(R26) with R26 = 0.
.global __cmpdi2_s8
XJMP __cmpdi2_s8
.L.number:
ret
ENDF class_D
#endif /* F7MOD_D_class_ */
#ifdef F7MOD_call_dd_
;; Provide double wrappers for functions that operate on f7_t and get f7_t*.
;;
;; We set up a frame of sizeof(f7_t), convert the input double in R18[] to
;; f7_t in that frame location, then call *Z and finally convert the result f7_t
;; to double R18[] if that's requested.
;;
;; call_dd: double func (double A)
;; void (*Z) (f7_t *aa, const f7_t *aa)
;;
;; call_dx: double func (type_t A) , sizeof(type_t) <= 4
;; void (*Z) (f7_t *aa, type_t)
;;
;; call_xd: type_t func (double A)
;; type_t (*Z) (const f7_t *aa)
;;
;; call_ddx: double func (double A, word_t) , sizeof (word_t) <= 2
;; void (*Z) (f7_t *aa, const f7_t *aa, word_t)
#define WHAT R13
DEFUN call_dd ; WHAT = R13 = 3
inc ZERO
LABEL call_xd ; WHAT = R13 = 2
inc ZERO
LABEL call_ddx ; WHAT = R13 = 1
inc ZERO
LABEL call_dx ; WHAT = R13 = 0
push WHAT
mov WHAT, ZERO
clr ZERO
;; R14/R15 hold Z, the address of the f7_worker function, until we need it.
push r14
push r15
wmov r14, Z
#define n_pushed 4
#define n_frame F7_SIZEOF
do_prologue_saves n_pushed, n_frame
;; Y = FramePointer + 1
adiw Y, 1
dec WHAT
brmi .Ldx ; WHAT was initially 0.
;; FP + 1 = (f7_t) arg1
wmov r16, Y
;; The double argument is in R18[].
XCALL F7_NAME (set_double_impl)
tst WHAT
brne .Lno.ddx ; WHAT was initially != 1.
;; call_ddx: Set R20/21 to the 2-byte scalar / pointer argument.
;; Fetch it from where prologue_saves put it.
ldd r20, Y + n_frame + 3 ; Saved R16
ldd r21, Y + n_frame + 2 ; Saved R17
.Lno.ddx:
wmov r22, Y ; &arg1 (input)
.Ldo.dx:
wmov r24, Y ; &arg1 (output)
wmov Z, r14
XICALL
dec WHAT
breq .Lepilogue ; WHAT was initially 2: Return non-double.
wmov r24, Y ; &arg1
XCALL F7_NAME (get_double)
.Lepilogue:
;; + 3 to account for R13...R15 pushed prior to do_prologue_saves.
do_epilogue_restores n_pushed + 3, n_frame
.Ldx:
;; call_dx: Copy the 4-byte input scalar from R22[4] to R20[4].
wmov r20, r22
wmov r22, r24
rjmp .Ldo.dx
ENDF call_dd
#endif /* F7MOD_call_dd_ */
#ifdef F7MOD_call_ddd_
;; Provide double wrappers for functions that operate on f7_t and get f7_t*.
;;
;; We set up a frame of 2 * sizeof(f7_t), convert the input doubles in R18[]
;; and R10[] to f7_t in these frame locations, then call *Z and finally
;; convert the result f7_t to double R18[] if that's requested.
;;
;; call_ddd: double func (double A, double B)
;; void (*Z) (f7_t *aa, const f7_t *aa, const f7_t *bb)
;;
;; call_xdd: type_t func (double A, double B)
;; type_t (*Z) (const f7_t *aa, const f7_t *bb)
DEFUN call_ddd
inc ZERO
LABEL call_xdd
;; R8/R9 hold Z, the address of the f7_worker function, until we need it.
push r9
push r8
wmov r8, Z
;; This is an argument to call.2 and will be accessed by the arg pointer.
push ZERO
clr ZERO
rcall call.2
pop TMP
pop r8
pop r9
ret
#define n_pushed 4
#define n_frame (2 * F7_SIZEOF)
call.2:
do_prologue_saves n_pushed, n_frame
;; Y = FramePointer + 1
adiw Y, 1
;; FP + 1 = (f7_t) arg1
wmov r16, Y
;; First double argument is already in R18[].
XCALL F7_NAME (set_double_impl)
;; FP + 11 = (f7_t) arg2
subi r16, lo8 (-F7_SIZEOF)
sbci r17, hi8 (-F7_SIZEOF)
;; Move second double argument to R18[].
wmov r18, r10
wmov r20, r12
wmov r22, r14
;; Get high word of arg2 from where prologue_saves put it.
ldd r24, Y + n_frame + 3 ; Saved R16
ldd r25, Y + n_frame + 2 ; Saved R17
XCALL F7_NAME (set_double_impl)
;; Z (f7_t *arg1, const f7_t *arg1, const f7_t *arg2)
wmov Z, r8
wmov r24, Y ; &arg1
;; WHAT == 0 => call_xdd
;; WHAT != 0 => call_ddd
ldd TMP, Y + n_frame + n_pushed + PC_SIZE
tst TMP
breq .Lxdd
wmov r22, Y ; &arg1
wmov r20, r16 ; &arg2
XICALL
wmov r24, Y ; &arg1
XCALL F7_NAME (get_double)
.Lepilogue:
do_epilogue_restores n_pushed, n_frame
.Lxdd:
wmov r22, r16 ; &arg2
XICALL
rjmp .Lepilogue
ENDF call_ddd
#endif /* F7MOD_call_ddd_ */
#include "f7-wraps.h"
#endif /* !AVR_TINY */
|