Newer
Older
;;; -*- Package: HPPA -*-
;;;
;;; **********************************************************************
;;; This code was written as part of the CMU Common Lisp project at
;;; Carnegie Mellon University, and has been placed in the public domain.
;;; If you want to use this code or any part of CMU Common Lisp, please contact
;;; Scott Fahlman or slisp-group@cs.cmu.edu.
;;;
(ext:file-comment
"$Header: /Volumes/share2/src/cmucl/cvs2git/cvsroot/src/compiler/hppa/arith.lisp,v 1.2 1992/08/04 14:14:12 wlott Exp $")
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
;;;
;;; **********************************************************************
;;;
;;; This file contains the VM definition arithmetic VOPs for the HP-PA.
;;;
;;; Written by William Lott.
;;;
(in-package "HPPA")
;;;; Unary operations.
(define-vop (fixnum-unop)
(:args (x :scs (any-reg)))
(:results (res :scs (any-reg)))
(:note "inline fixnum arithmetic")
(:arg-types tagged-num)
(:result-types tagged-num)
(:policy :fast-safe))
(define-vop (signed-unop)
(:args (x :scs (signed-reg)))
(:results (res :scs (signed-reg)))
(:note "inline (signed-byte 32) arithmetic")
(:arg-types signed-num)
(:result-types signed-num)
(:policy :fast-safe))
(define-vop (fast-negate/fixnum fixnum-unop)
(:translate %negate)
(:generator 1
(inst sub zero-tn x res)))
(define-vop (fast-negate/signed signed-unop)
(:translate %negate)
(:generator 2
(inst sub zero-tn x res)))
(define-vop (fast-lognot/fixnum fixnum-unop)
(:temporary (:scs (any-reg) :type fixnum :to (:result 0))
temp)
(:translate lognot)
(:generator 2
(inst li (fixnum -1) temp)
(inst xor x temp res)))
(define-vop (fast-lognot/signed signed-unop)
(:translate lognot)
(:generator 1
(inst uaddcm zero-tn x res)))
;;;; Binary fixnum operations.
;;; Assume that any constant operand is the second arg...
(define-vop (fast-fixnum-binop)
(:args (x :target r :scs (any-reg))
(y :target r :scs (any-reg)))
(:arg-types tagged-num tagged-num)
(:results (r :scs (any-reg)))
(:result-types tagged-num)
(:note "inline fixnum arithmetic")
(:effects)
(:affected)
(:policy :fast-safe))
(define-vop (fast-unsigned-binop)
(:args (x :target r :scs (unsigned-reg))
(y :target r :scs (unsigned-reg)))
(:arg-types unsigned-num unsigned-num)
(:results (r :scs (unsigned-reg)))
(:result-types unsigned-num)
(:note "inline (unsigned-byte 32) arithmetic")
(:effects)
(:affected)
(:policy :fast-safe))
(define-vop (fast-signed-binop)
(:args (x :target r :scs (signed-reg))
(y :target r :scs (signed-reg)))
(:arg-types signed-num signed-num)
(:results (r :scs (signed-reg)))
(:result-types signed-num)
(:note "inline (signed-byte 32) arithmetic")
(:effects)
(:affected)
(:policy :fast-safe))
(defmacro define-binop (translate cost untagged-cost op)
`(progn
(define-vop (,(symbolicate "FAST-" translate "/FIXNUM=>FIXNUM")
fast-fixnum-binop)
(:args (x :target r :scs (any-reg))
(y :target r :scs (any-reg)))
(:translate ,translate)
(:generator ,cost
(inst ,op x y r)))
(define-vop (,(symbolicate "FAST-" translate "/SIGNED=>SIGNED")
fast-signed-binop)
(:args (x :target r :scs (signed-reg))
(y :target r :scs (signed-reg)))
(:translate ,translate)
(:generator ,untagged-cost
(inst ,op x y r)))
(define-vop (,(symbolicate "FAST-" translate "/UNSIGNED=>UNSIGNED")
fast-unsigned-binop)
(:args (x :target r :scs (unsigned-reg))
(y :target r :scs (unsigned-reg)))
(:translate ,translate)
(:generator ,untagged-cost
(inst ,op x y r)))))
(define-binop + 2 6 add)
(define-binop - 2 6 sub)
(define-binop logior 1 2 or)
(define-binop logand 1 2 and)
(define-binop logandc2 1 2 andcm)
(define-binop logxor 1 2 xor)
(define-vop (fast-fixnum-c-binop fast-fixnum-binop)
(:args (x :target r :scs (any-reg)))
(:info y)
(:arg-types tagged-num (:constant integer)))
(define-vop (fast-signed-c-binop fast-signed-binop)
(:args (x :target r :scs (signed-reg)))
(:info y)
(:arg-types tagged-num (:constant integer)))
(define-vop (fast-unsigned-c-binop fast-unsigned-binop)
(:args (x :target r :scs (unsigned-reg)))
(:info y)
(:arg-types tagged-num (:constant integer)))
(defmacro define-c-binop (translate cost untagged-cost tagged-type
untagged-type inst)
`(progn
(define-vop (,(symbolicate "FAST-" translate "-C/FIXNUM=>FIXNUM")
fast-fixnum-c-binop)
(:arg-types tagged-num (:constant ,tagged-type))
(:translate ,translate)
(:generator ,cost
(let ((y (fixnum y)))
,inst)))
(define-vop (,(symbolicate "FAST-" translate "-C/SIGNED=>SIGNED")
fast-signed-c-binop)
(:arg-types signed-num (:constant ,untagged-type))
(:translate ,translate)
(:generator ,untagged-cost
,inst))
(define-vop (,(symbolicate "FAST-" translate "-C/UNSIGNED=>UNSIGNED")
fast-unsigned-c-binop)
(:arg-types unsigned-num (:constant ,untagged-type))
(:translate ,translate)
(:generator ,untagged-cost
,inst))))
(define-c-binop + 1 3 (signed-byte 9) (signed-byte 11)
(inst addi y x r))
(define-c-binop - 1 3
(integer #.(- (1- (ash 1 9))) #.(ash 1 9))
(integer #.(- (1- (ash 1 11))) #.(ash 1 11))
(inst addi (- y) x r))
;;; Special case fixnum + and - that trap on overflow. Useful when we don't
;;; know that the result is going to be a fixnum.
(define-vop (fast-+/fixnum fast-+/fixnum=>fixnum)
(:results (r :scs (any-reg descriptor-reg)))
(:result-types (:or signed-num unsigned-num))
(:note nil)
(:generator 4
(inst addo x y r)))
(define-vop (fast-+-c/fixnum fast-+-c/fixnum=>fixnum)
(:results (r :scs (any-reg descriptor-reg)))
(:result-types (:or signed-num unsigned-num))
(:note nil)
(:generator 3
(inst addio (fixnum y) x r)))
(define-vop (fast--/fixnum fast--/fixnum=>fixnum)
(:results (r :scs (any-reg descriptor-reg)))
(:result-types (:or signed-num unsigned-num))
(:note nil)
(:generator 4
(inst subo x y r)))
(define-vop (fast---c/fixnum fast---c/fixnum=>fixnum)
(:results (r :scs (any-reg descriptor-reg)))
(:result-types (:or signed-num unsigned-num))
(:note nil)
(:generator 3
(inst addio (- (fixnum y)) x r)))
;;; Shifting
(define-vop (fast-ash)
(:policy :fast-safe)
(:translate ash)
(:note "inline word ASH")
(:args (number :scs (signed-reg unsigned-reg))
(count :scs (signed-reg)))
(:arg-types (:or signed-num unsigned-num) tagged-num)
(:temporary (:scs (unsigned-reg) :to (:result 0)) temp)
(:results (result :scs (signed-reg unsigned-reg)))
(:result-types (:or signed-num unsigned-num))
(:generator 8
(inst comb :>= count zero-tn positive :nullify t)
(inst sub zero-tn count temp)
(inst comiclr 31 temp zero-tn :>=)
(inst li 31 temp)
(inst mtctl temp :sar)
(inst extrs number 0 1 temp)
(inst b done)
(inst shd temp number :variable result)
POSITIVE
(inst subi 31 count temp)
(inst mtctl temp :sar)
(inst zdep number :variable 32 result)
DONE))
(define-vop (fast-ash-c)
(:policy :fast-safe)
(:translate ash)
(:note nil)
(:args (number :scs (signed-reg unsigned-reg)))
(:info count)
(:arg-types (:or signed-num unsigned-num) (:constant integer))
(:results (result :scs (signed-reg unsigned-reg)))
(:result-types (:or signed-num unsigned-num))
(:generator 1
(cond ((< count 0)
;; It is a right shift.
(sc-case number
(signed-reg (inst sra number (min (- count) 31) result))
(unsigned-reg (inst srl number (min (- count) 31) result))))
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
((> count 0)
;; It is a left shift.
(inst sll number (min count 31) result))
(t
;; Count=0? Shouldn't happen, but it's easy:
(move number result)))))
(define-vop (signed-byte-32-len)
(:translate integer-length)
(:note "inline (signed-byte 32) integer-length")
(:policy :fast-safe)
(:args (arg :scs (signed-reg) :target shift))
(:arg-types signed-num)
(:results (res :scs (any-reg)))
(:result-types positive-fixnum)
(:temporary (:scs (non-descriptor-reg) :from (:argument 0)) shift)
(:generator 30
(inst move arg shift :>=)
(inst uaddcm zero-tn shift shift)
(inst comb := shift zero-tn done)
(inst li 0 res)
LOOP
(inst srl shift 1 shift)
(inst comb :<> shift zero-tn loop)
(inst addi (fixnum 1) res res)
DONE))
(define-vop (unsigned-byte-32-count)
(:translate logcount)
(:note "inline (unsigned-byte 32) logcount")
(:policy :fast-safe)
(:args (arg :scs (unsigned-reg) :target num))
(:arg-types unsigned-num)
(:results (res :scs (unsigned-reg)))
(:result-types positive-fixnum)
(:temporary (:scs (non-descriptor-reg) :from (:argument 0) :to (:result 0)
:target res) num)
(:temporary (:scs (non-descriptor-reg)) mask temp)
(:generator 30
(inst li #x55555555 mask)
(inst srl arg 1 temp)
(inst and arg mask num)
(inst and temp mask temp)
(inst add num temp num)
(inst li #x33333333 mask)
(inst srl num 2 temp)
(inst and num mask num)
(inst and temp mask temp)
(inst add num temp num)
(inst li #x0f0f0f0f mask)
(inst srl num 4 temp)
(inst and num mask num)
(inst and temp mask temp)
(inst add num temp num)
(inst li #x00ff00ff mask)
(inst srl num 8 temp)
(inst and num mask num)
(inst and temp mask temp)
(inst add num temp num)
(inst li #x0000ffff mask)
(inst srl num 16 temp)
(inst and num mask num)
(inst and temp mask temp)
(inst add num temp res)))
;;; Multiply and Divide.
(define-vop (fast-*/fixnum=>fixnum fast-fixnum-binop)
(:args (x :scs (any-reg) :target x-pass)
(y :scs (any-reg) :target y-pass))
(:temporary (:sc signed-reg :offset nl0-offset
:from (:argument 0) :to (:result 0)) x-pass)
(:temporary (:sc signed-reg :offset nl1-offset
:from (:argument 1) :to (:result 0)) y-pass)
(:temporary (:sc signed-reg :offset nl2-offset :target r
:from (:argument 1) :to (:result 0)) res-pass)
(:temporary (:sc signed-reg :offset nl3-offset :to (:result 0)) tmp)
(:temporary (:sc signed-reg :offset nl4-offset
:from (:argument 1) :to (:result 0)) sign)
(:temporary (:sc interior-reg :offset lip-offset) lip)
(:ignore lip sign)
(:translate *)
(:generator 30
(unless (location= y y-pass)
(inst sra x 2 x-pass))
(let ((fixup (make-fixup 'multiply :assembly-routine)))
(inst ldil fixup tmp)
(inst ble fixup lisp-heap-space tmp))
(if (location= y y-pass)
(inst sra x 2 x-pass)
(inst move y y-pass))
(move res-pass r)))
(define-vop (fast-*/signed=>signed fast-signed-binop)
(:translate *)
(:args (x :scs (signed-reg) :target x-pass)
(y :scs (signed-reg) :target y-pass))
(:temporary (:sc signed-reg :offset nl0-offset
:from (:argument 0) :to (:result 0)) x-pass)
(:temporary (:sc signed-reg :offset nl1-offset
:from (:argument 1) :to (:result 0)) y-pass)
(:temporary (:sc signed-reg :offset nl2-offset :target r
:from (:argument 1) :to (:result 0)) res-pass)
(:temporary (:sc signed-reg :offset nl3-offset :to (:result 0)) tmp)
(:temporary (:sc signed-reg :offset nl4-offset
:from (:argument 1) :to (:result 0)) sign)
(:temporary (:sc interior-reg :offset lip-offset) lip)
(:ignore lip sign)
(:translate *)
(:generator 31
(let ((fixup (make-fixup 'multiply :assembly-routine)))
(move x x-pass)
(move y y-pass)
(inst ldil fixup tmp)
(inst ble fixup lisp-heap-space tmp :nullify t)
(inst nop)
(move res-pass r))))
(define-vop (fast-truncate/fixnum fast-fixnum-binop)
(:translate truncate)
(:args (x :scs (any-reg) :target x-pass)
(y :scs (any-reg) :target y-pass))
(:temporary (:sc signed-reg :offset nl0-offset
:from (:argument 0) :to (:result 0)) x-pass)
(:temporary (:sc signed-reg :offset nl1-offset
:from (:argument 1) :to (:result 0)) y-pass)
(:temporary (:sc signed-reg :offset nl2-offset :target q
:from (:argument 1) :to (:result 0)) q-pass)
(:temporary (:sc signed-reg :offset nl3-offset :target r
:from (:argument 1) :to (:result 1)) r-pass)
(:results (q :scs (signed-reg))
(r :scs (any-reg)))
(:result-types tagged-num tagged-num)
(:vop-var vop)
(:save-p :compute-only)
(:generator 30
(let ((zero (generate-error-code vop division-by-zero-error x y)))
(inst bc := nil y zero-tn zero))
(move x x-pass)
(move y y-pass)
(let ((fixup (make-fixup 'truncate :assembly-routine)))
(inst ldil fixup q-pass)
(inst ble fixup lisp-heap-space q-pass :nullify t))
(inst nop)
(move q-pass q)
(move r-pass r)))
(define-vop (fast-truncate/signed fast-signed-binop)
(:translate truncate)
(:args (x :scs (signed-reg) :target x-pass)
(y :scs (signed-reg) :target y-pass))
(:temporary (:sc signed-reg :offset nl0-offset
:from (:argument 0) :to (:result 0)) x-pass)
(:temporary (:sc signed-reg :offset nl1-offset
:from (:argument 1) :to (:result 0)) y-pass)
(:temporary (:sc signed-reg :offset nl2-offset :target q
:from (:argument 1) :to (:result 0)) q-pass)
(:temporary (:sc signed-reg :offset nl3-offset :target r
:from (:argument 1) :to (:result 1)) r-pass)
(:results (q :scs (signed-reg))
(r :scs (signed-reg)))
(:result-types signed-num signed-num)
(:vop-var vop)
(:save-p :compute-only)
(:generator 35
(let ((zero (generate-error-code vop division-by-zero-error x y)))
(inst bc := nil y zero-tn zero))
(move x x-pass)
(move y y-pass)
(let ((fixup (make-fixup 'truncate :assembly-routine)))
(inst ldil fixup q-pass)
(inst ble fixup lisp-heap-space q-pass :nullify t))
(inst nop)
(move q-pass q)
(move r-pass r)))
;;;; Binary conditional VOPs:
(define-vop (fast-conditional)
(:conditional)
(:info target not-p)
(:effects)
(:affected)
(:policy :fast-safe))
(define-vop (fast-conditional/fixnum fast-conditional)
(:args (x :scs (any-reg))
(y :scs (any-reg)))
(:arg-types tagged-num tagged-num)
(:note "inline fixnum comparison"))
(define-vop (fast-conditional-c/fixnum fast-conditional/fixnum)
(:args (x :scs (any-reg)))
(:arg-types tagged-num (:constant (signed-byte 9)))
(:info target not-p y))
(define-vop (fast-conditional/signed fast-conditional)
(:args (x :scs (signed-reg))
(y :scs (signed-reg)))
(:arg-types signed-num signed-num)
(:note "inline (signed-byte 32) comparison"))
(define-vop (fast-conditional-c/signed fast-conditional/signed)
(:args (x :scs (signed-reg)))
(:arg-types signed-num (:constant (signed-byte 11)))
(:info target not-p y))
(define-vop (fast-conditional/unsigned fast-conditional)
(:args (x :scs (unsigned-reg))
(y :scs (unsigned-reg)))
(:arg-types unsigned-num unsigned-num)
(:note "inline (unsigned-byte 32) comparison"))
(define-vop (fast-conditional-c/unsigned fast-conditional/unsigned)
(:args (x :scs (unsigned-reg)))
(:arg-types unsigned-num (:constant (signed-byte 11)))
(:info target not-p y))
(defmacro define-conditional-vop (translate signed-cond unsigned-cond)
`(progn
,@(mapcar #'(lambda (suffix cost signed imm)
(unless (and (member suffix '(/fixnum -c/fixnum))
(eq translate 'eql))
`(define-vop (,(intern (format nil "~:@(FAST-IF-~A~A~)"
translate suffix))
,(intern
(format nil "~:@(FAST-CONDITIONAL~A~)"
suffix)))
(:translate ,translate)
(:generator ,cost
(inst ,(if imm 'bci 'bc)
,(if signed signed-cond unsigned-cond)
not-p
,(if (eq suffix '-c/fixnum)
'(fixnum y)
'y)
x
target)))))
'(/fixnum -c/fixnum /signed -c/signed /unsigned -c/unsigned)
'(3 2 5 4 5 4)
'(t t t t nil nil)
'(nil t nil t nil t))))
;; We switch < and > because the immediate has to come first.
(define-conditional-vop < :> :>>)
(define-conditional-vop > :< :<<)
;;; EQL/FIXNUM is funny because the first arg can be of any type, not just a
;;; known fixnum.
;;;
(define-conditional-vop eql := :=)
;;; These versions specify a fixnum restriction on their first arg. We have
;;; also generic-eql/fixnum VOPs which are the same, but have no restriction on
;;; the first arg and a higher cost. The reason for doing this is to prevent
;;; fixnum specific operations from being used on word integers, spuriously
;;; consing the argument.
;;;
(define-vop (fast-eql/fixnum fast-conditional)
(:args (x :scs (any-reg descriptor-reg))
(y :scs (any-reg)))
(:arg-types tagged-num tagged-num)
(:note "inline fixnum comparison")
(:translate eql)
(:generator 3
(inst bc := not-p x y target)))
;;;
(define-vop (generic-eql/fixnum fast-eql/fixnum)
(:arg-types * tagged-num)
(:variant-cost 7))
(define-vop (fast-eql-c/fixnum fast-conditional/fixnum)
(:args (x :scs (any-reg descriptor-reg)))
(:arg-types tagged-num (:constant (signed-byte 9)))
(:info target not-p y)
(:translate eql)
(:generator 2
(inst bci := not-p (fixnum y) x target)))
;;;
(define-vop (generic-eql-c/fixnum fast-eql-c/fixnum)
(:arg-types * (:constant (signed-byte 14)))
(:variant-cost 6))
;;;; 32-bit logical operations
(define-vop (32bit-logical)
(:args (x :scs (unsigned-reg))
(y :scs (unsigned-reg)))
(:arg-types unsigned-num unsigned-num)
(:results (r :scs (unsigned-reg)))
(:result-types unsigned-num)
(:policy :fast-safe))
(define-vop (32bit-logical-not 32bit-logical)
(:translate 32bit-logical-not)
(:args (x :scs (unsigned-reg)))
(:arg-types unsigned-num)
(:generator 1
(inst uaddcm zero-tn x r)))
(define-vop (32bit-logical-and 32bit-logical)
(:translate 32bit-logical-and)
(:generator 1
(inst and x y r)))
(deftransform 32bit-logical-nand ((x y) (* *))
'(32bit-logical-not (32bit-logical-and x y)))
(define-vop (32bit-logical-or 32bit-logical)
(:translate 32bit-logical-or)
(:generator 1
(inst or x y r)))
(deftransform 32bit-logical-nor ((x y) (* *))
'(32bit-logical-not (32bit-logical-or x y)))
(define-vop (32bit-logical-xor 32bit-logical)
(:translate 32bit-logical-xor)
(:generator 1
(inst xor x y r)))
(deftransform 32bit-logical-eqv ((x y) (* *))
'(32bit-logical-not (32bit-logical-xor x y)))
(deftransform 32bit-logical-andc1 ((x y) (* *))
'(32bit-logical-and (32bit-logical-not x) y))
(define-vop (32bit-logical-andc2 32bit-logical)
(:translate 32bit-logical-andc2)
(:generator 1
(inst andcm x y r)))
(deftransform 32bit-logical-orc1 ((x y) (* *))
'(32bit-logical-or (32bit-logical-not x) y))
(deftransform 32bit-logical-orc2 ((x y) (* *))
'(32bit-logical-or x (32bit-logical-not y)))
(define-vop (shift-towards-someplace)
(:policy :fast-safe)
(:args (num :scs (unsigned-reg))
(amount :scs (signed-reg)))
(:arg-types unsigned-num tagged-num)
(:results (r :scs (unsigned-reg)))
(:result-types unsigned-num))
(define-vop (shift-towards-start shift-towards-someplace)
(:translate shift-towards-start)
(:temporary (:scs (unsigned-reg) :to (:result 0)) temp)
(:note "SHIFT-TOWARDS-START")
(:generator 1
(inst subi 31 amount temp)
(inst mtctl temp :sar)
(inst zdep num :variable 32 r)))
(define-vop (shift-towards-end shift-towards-someplace)
(:translate shift-towards-end)
(:note "SHIFT-TOWARDS-END")
(:generator 1
(inst mtctl amount :sar)
(inst shd zero-tn num :variable r)))
;;;; Bignum stuff.
(define-vop (bignum-length get-header-data)
(:translate bignum::%bignum-length)
(:policy :fast-safe))
(define-vop (bignum-set-length set-header-data)
(:translate bignum::%bignum-set-length)
(:policy :fast-safe))
(define-full-reffer bignum-ref * bignum-digits-offset other-pointer-type
(unsigned-reg) unsigned-num bignum::%bignum-ref)
(define-full-setter bignum-set * bignum-digits-offset other-pointer-type
(unsigned-reg) unsigned-num bignum::%bignum-set)
(define-vop (digit-0-or-plus)
(:translate bignum::%digit-0-or-plusp)
(:policy :fast-safe)
(:args (digit :scs (unsigned-reg)))
(:arg-types unsigned-num)
(:conditional)
(:info target not-p)
(:effects)
(:affected)
(:generator 1
(inst bc :>= not-p digit zero-tn target)))
(define-vop (add-w/carry)
(:translate bignum::%add-with-carry)
(:policy :fast-safe)
(:args (a :scs (unsigned-reg))
(b :scs (unsigned-reg))
(c :scs (unsigned-reg)))
(:arg-types unsigned-num unsigned-num positive-fixnum)
(:results (result :scs (unsigned-reg))
(carry :scs (unsigned-reg)))
(:result-types unsigned-num positive-fixnum)
(:generator 3
(inst addi -1 c zero-tn)
(inst addc a b result)
(inst addc zero-tn zero-tn carry)))
(define-vop (sub-w/borrow)
(:translate bignum::%subtract-with-borrow)
(:policy :fast-safe)
(:args (a :scs (unsigned-reg))
(b :scs (unsigned-reg))
(c :scs (unsigned-reg)))
(:arg-types unsigned-num unsigned-num positive-fixnum)
(:results (result :scs (unsigned-reg))
(borrow :scs (unsigned-reg)))
(:result-types unsigned-num positive-fixnum)
(:generator 4
(inst addi -1 c zero-tn)
(inst subb a b result)
(inst addc zero-tn zero-tn borrow)))
(define-vop (bignum-mult)
(:translate bignum::%multiply)
(:policy :fast-safe)
(:args (x-arg :scs (unsigned-reg) :target x)
(y-arg :scs (unsigned-reg) :target y))
(:arg-types unsigned-num unsigned-num)
(:temporary (:scs (signed-reg) :from (:argument 0)) x)
(:temporary (:scs (signed-reg) :from (:argument 1)) y)
(:temporary (:scs (signed-reg)) tmp)
(:results (hi :scs (unsigned-reg))
(lo :scs (unsigned-reg)))
(:result-types unsigned-num unsigned-num)
(:generator 3
;; Make sure X is less then Y.
(inst comclr x-arg y-arg tmp :<<)
(inst xor x-arg y-arg tmp)
(inst xor x-arg tmp x)
(inst xor y-arg tmp y)
;; Blow out of here if the result is zero.
(inst li 0 hi)
(inst comb := x zero-tn done)
(inst li 0 lo)
(inst li 0 tmp)
LOOP
(inst comb :ev x zero-tn next-bit)
(inst srl x 1 x)
(inst add lo y lo)
(inst addc hi tmp hi)
NEXT-BIT
(inst add y y y)
(inst comb :<> x zero-tn loop)
(inst addc tmp tmp tmp)
DONE))
(def-source-transform bignum:%multiply-and-add (x y carry &optional (extra 0))
#+nil ;; This would be greate if it worked, but it doesn't.
(if (eql extra 0)
`(multiple-value-call #'bignum::%dual-word-add
(bignum:%multiply ,x ,y)
(values ,carry))
`(multiple-value-call #'bignum::%dual-word-add
(multiple-value-call #'bignum::%dual-word-add
(bignum:%multiply ,x ,y)
(values ,carry))
(values ,extra)))
(let ((hi (gensym "HI-"))
(lo (gensym "LO-")))
(if (eql extra 0)
`(multiple-value-bind (,hi ,lo) (bignum:%multiply ,x ,y)
(bignum::%dual-word-add ,hi ,lo ,carry))
`(multiple-value-bind (,hi ,lo) (bignum:%multiply ,x ,y)
(multiple-value-bind
(,hi ,lo)
(bignum::%dual-word-add ,hi ,lo ,carry)
(bignum::%dual-word-add ,hi ,lo ,extra))))))
(defknown bignum::%dual-word-add
(bignum-element-type bignum-element-type bignum-element-type)
(values bignum-element-type bignum-element-type)
(flushable movable))
(define-vop (dual-word-add)
(:policy :fast-safe)
(:translate bignum::%dual-word-add)
(:args (hi :scs (unsigned-reg) :to (:result 1))
(lo :scs (unsigned-reg))
(extra :scs (unsigned-reg)))
(:arg-types unsigned-num unsigned-num unsigned-num)
(:results (hi-res :scs (unsigned-reg) :from (:result 1))
(lo-res :scs (unsigned-reg) :from (:result 0)))
(:result-types unsigned-num unsigned-num)
(:affected)
(:effects)
(:generator 3
(inst add lo extra lo-res)
(inst addc hi zero-tn hi-res)))
(define-vop (bignum-lognot)
(:translate bignum::%lognot)
(:policy :fast-safe)
(:args (x :scs (unsigned-reg)))
(:arg-types unsigned-num)
(:results (r :scs (unsigned-reg)))
(:result-types unsigned-num)
(:generator 1
(inst uaddcm zero-tn x r)))
(define-vop (fixnum-to-digit)
(:translate bignum::%fixnum-to-digit)
(:policy :fast-safe)
(:args (fixnum :scs (signed-reg)))
(:arg-types tagged-num)
(:results (digit :scs (unsigned-reg)))
(:result-types unsigned-num)
(:generator 1
(move fixnum digit)))
(define-vop (bignum-floor)
(:translate bignum::%floor)
(:policy :fast-safe)
(:args (hi :scs (unsigned-reg) :to (:argument 1))
(lo :scs (unsigned-reg) :to (:argument 0))
(divisor :scs (unsigned-reg)))
(:arg-types unsigned-num unsigned-num unsigned-num)
(:temporary (:scs (unsigned-reg) :to (:argument 1)) temp)
(:results (quo :scs (unsigned-reg) :from (:argument 0))
(rem :scs (unsigned-reg) :from (:argument 1)))
(:result-types unsigned-num unsigned-num)
(:generator 65
(inst sub zero-tn divisor temp)
(inst ds zero-tn temp zero-tn)
(inst add lo lo quo)
(inst ds hi divisor rem)
(inst addc quo quo quo)
(dotimes (i 31)
(inst ds rem divisor rem)
(inst addc quo quo quo))
(inst comclr rem zero-tn zero-tn :>=)
(inst add divisor rem rem)))
(define-vop (signify-digit)
(:translate bignum::%fixnum-digit-with-correct-sign)
(:policy :fast-safe)
(:args (digit :scs (unsigned-reg) :target res))
(:arg-types unsigned-num)
(:results (res :scs (signed-reg)))
(:result-types signed-num)
(:generator 1
(move digit res)))
(define-vop (digit-lshr)
(:translate bignum::%digit-logical-shift-right)
(:policy :fast-safe)
(:args (digit :scs (unsigned-reg))
(count :scs (unsigned-reg)))
(:arg-types unsigned-num positive-fixnum)
(:results (result :scs (unsigned-reg)))
(:result-types unsigned-num)
(:generator 2
(inst mtctl count :sar)
(inst shd zero-tn digit :variable result)))
(define-vop (digit-ashr digit-lshr)
(:translate bignum::%ashr)
(:temporary (:scs (unsigned-reg) :to (:result 0)) temp)
(:generator 1
(inst extrs digit 0 1 temp)
(inst mtctl count :sar)
(inst shd temp digit :variable result)))
(define-vop (digit-ashl digit-ashr)
(:translate bignum::%ashl)
(:generator 1
(inst subi 31 count temp)
(inst mtctl temp :sar)
(inst zdep digit :variable 32 result)))
;;;; Static functions.
(define-static-function two-arg-gcd (x y) :translate gcd)
(define-static-function two-arg-lcm (x y) :translate lcm)
(define-static-function two-arg-* (x y) :translate *)
(define-static-function two-arg-/ (x y) :translate /)
(define-static-function %negate (x) :translate %negate)
(define-static-function two-arg-and (x y) :translate logand)
(define-static-function two-arg-ior (x y) :translate logior)
(define-static-function two-arg-xor (x y) :translate logxor)