1 ;;;; the VM definition arithmetic VOPs for the x86
3 ;;;; This software is part of the SBCL system. See the README file for
6 ;;;; This software is derived from the CMU CL system, which was
7 ;;;; written at Carnegie Mellon University and released into the
8 ;;;; public domain. The software is in the public domain and is
9 ;;;; provided with absolutely no warranty. See the COPYING and CREDITS
10 ;;;; files for more information.
16 (define-vop (fast-safe-arith-op)
21 (define-vop (fixnum-unop fast-safe-arith-op)
22 (:args (x :scs (any-reg) :target res))
23 (:results (res :scs (any-reg)))
24 (:note "inline fixnum arithmetic")
25 (:arg-types tagged-num)
26 (:result-types tagged-num))
28 (define-vop (signed-unop fast-safe-arith-op)
29 (:args (x :scs (signed-reg) :target res))
30 (:results (res :scs (signed-reg)))
31 (:note "inline (signed-byte 32) arithmetic")
32 (:arg-types signed-num)
33 (:result-types signed-num))
35 (define-vop (fast-negate/fixnum fixnum-unop)
41 (define-vop (fast-negate/signed signed-unop)
47 (define-vop (fast-lognot/fixnum fixnum-unop)
51 (inst xor res (fixnumize -1))))
53 (define-vop (fast-lognot/signed signed-unop)
59 ;;;; binary fixnum operations
61 ;;; Assume that any constant operand is the second arg...
63 (define-vop (fast-fixnum-binop fast-safe-arith-op)
64 (:args (x :target r :scs (any-reg)
65 :load-if (not (and (sc-is x control-stack)
67 (sc-is r control-stack)
69 (y :scs (any-reg control-stack)))
70 (:arg-types tagged-num tagged-num)
71 (:results (r :scs (any-reg) :from (:argument 0)
72 :load-if (not (and (sc-is x control-stack)
74 (sc-is r control-stack)
76 (:result-types tagged-num)
77 (:note "inline fixnum arithmetic"))
79 (define-vop (fast-unsigned-binop fast-safe-arith-op)
80 (:args (x :target r :scs (unsigned-reg)
81 :load-if (not (and (sc-is x unsigned-stack)
82 (sc-is y unsigned-reg)
83 (sc-is r unsigned-stack)
85 (y :scs (unsigned-reg unsigned-stack)))
86 (:arg-types unsigned-num unsigned-num)
87 (:results (r :scs (unsigned-reg) :from (:argument 0)
88 :load-if (not (and (sc-is x unsigned-stack)
89 (sc-is y unsigned-reg)
90 (sc-is r unsigned-stack)
92 (:result-types unsigned-num)
93 (:note "inline (unsigned-byte 32) arithmetic"))
95 (define-vop (fast-signed-binop fast-safe-arith-op)
96 (:args (x :target r :scs (signed-reg)
97 :load-if (not (and (sc-is x signed-stack)
99 (sc-is r signed-stack)
101 (y :scs (signed-reg signed-stack)))
102 (:arg-types signed-num signed-num)
103 (:results (r :scs (signed-reg) :from (:argument 0)
104 :load-if (not (and (sc-is x signed-stack)
106 (sc-is r signed-stack)
108 (:result-types signed-num)
109 (:note "inline (signed-byte 32) arithmetic"))
111 (define-vop (fast-fixnum-binop-c fast-safe-arith-op)
112 (:args (x :target r :scs (any-reg control-stack)))
114 (:arg-types tagged-num (:constant (signed-byte 30)))
115 (:results (r :scs (any-reg)
116 :load-if (not (location= x r))))
117 (:result-types tagged-num)
118 (:note "inline fixnum arithmetic"))
120 (define-vop (fast-unsigned-binop-c fast-safe-arith-op)
121 (:args (x :target r :scs (unsigned-reg unsigned-stack)))
123 (:arg-types unsigned-num (:constant (unsigned-byte 32)))
124 (:results (r :scs (unsigned-reg)
125 :load-if (not (location= x r))))
126 (:result-types unsigned-num)
127 (:note "inline (unsigned-byte 32) arithmetic"))
129 (define-vop (fast-signed-binop-c fast-safe-arith-op)
130 (:args (x :target r :scs (signed-reg signed-stack)))
132 (:arg-types signed-num (:constant (signed-byte 32)))
133 (:results (r :scs (signed-reg)
134 :load-if (not (location= x r))))
135 (:result-types signed-num)
136 (:note "inline (signed-byte 32) arithmetic"))
138 (macrolet ((define-binop (translate untagged-penalty op)
140 (define-vop (,(symbolicate "FAST-" translate "/FIXNUM=>FIXNUM")
142 (:translate ,translate)
146 (define-vop (,(symbolicate 'fast- translate '-c/fixnum=>fixnum)
148 (:translate ,translate)
151 (inst ,op r (fixnumize y))))
152 (define-vop (,(symbolicate "FAST-" translate "/SIGNED=>SIGNED")
154 (:translate ,translate)
155 (:generator ,(1+ untagged-penalty)
158 (define-vop (,(symbolicate 'fast- translate '-c/signed=>signed)
160 (:translate ,translate)
161 (:generator ,untagged-penalty
164 (define-vop (,(symbolicate "FAST-"
166 "/UNSIGNED=>UNSIGNED")
168 (:translate ,translate)
169 (:generator ,(1+ untagged-penalty)
172 (define-vop (,(symbolicate 'fast-
174 '-c/unsigned=>unsigned)
175 fast-unsigned-binop-c)
176 (:translate ,translate)
177 (:generator ,untagged-penalty
181 ;;(define-binop + 4 add)
182 (define-binop - 4 sub)
183 (define-binop logand 2 and)
184 (define-binop logior 2 or)
185 (define-binop logxor 2 xor))
188 ;;; Special handling of add on the x86; can use lea to avoid a
189 ;;; register load, otherwise it uses add.
190 (define-vop (fast-+/fixnum=>fixnum fast-safe-arith-op)
192 (:args (x :scs (any-reg) :target r
193 :load-if (not (and (sc-is x control-stack)
195 (sc-is r control-stack)
197 (y :scs (any-reg control-stack)))
198 (:arg-types tagged-num tagged-num)
199 (:results (r :scs (any-reg) :from (:argument 0)
200 :load-if (not (and (sc-is x control-stack)
202 (sc-is r control-stack)
204 (:result-types tagged-num)
205 (:note "inline fixnum arithmetic")
207 (cond ((and (sc-is x any-reg) (sc-is y any-reg) (sc-is r any-reg)
208 (not (location= x r)))
209 (inst lea r (make-ea :dword :base x :index y :scale 1)))
214 (define-vop (fast-+-c/fixnum=>fixnum fast-safe-arith-op)
216 (:args (x :target r :scs (any-reg control-stack)))
218 (:arg-types tagged-num (:constant (signed-byte 30)))
219 (:results (r :scs (any-reg)
220 :load-if (not (location= x r))))
221 (:result-types tagged-num)
222 (:note "inline fixnum arithmetic")
224 (cond ((and (sc-is x any-reg) (sc-is r any-reg) (not (location= x r)))
225 (inst lea r (make-ea :dword :base x :disp (fixnumize y))))
228 (inst add r (fixnumize y))))))
230 (define-vop (fast-+/signed=>signed fast-safe-arith-op)
232 (:args (x :scs (signed-reg) :target r
233 :load-if (not (and (sc-is x signed-stack)
235 (sc-is r signed-stack)
237 (y :scs (signed-reg signed-stack)))
238 (:arg-types signed-num signed-num)
239 (:results (r :scs (signed-reg) :from (:argument 0)
240 :load-if (not (and (sc-is x signed-stack)
243 (:result-types signed-num)
244 (:note "inline (signed-byte 32) arithmetic")
246 (cond ((and (sc-is x signed-reg) (sc-is y signed-reg) (sc-is r signed-reg)
247 (not (location= x r)))
248 (inst lea r (make-ea :dword :base x :index y :scale 1)))
254 ;;;; Special logand cases: (logand signed unsigned) => unsigned
256 (define-vop (fast-logand/signed-unsigned=>unsigned
257 fast-logand/unsigned=>unsigned)
258 (:args (x :target r :scs (signed-reg)
259 :load-if (not (and (sc-is x signed-stack)
260 (sc-is y unsigned-reg)
261 (sc-is r unsigned-stack)
263 (y :scs (unsigned-reg unsigned-stack)))
264 (:arg-types signed-num unsigned-num))
266 (define-vop (fast-logand-c/signed-unsigned=>unsigned
267 fast-logand-c/unsigned=>unsigned)
268 (:args (x :target r :scs (signed-reg signed-stack)))
269 (:arg-types signed-num (:constant (unsigned-byte 32))))
271 (define-vop (fast-logand/unsigned-signed=>unsigned
272 fast-logand/unsigned=>unsigned)
273 (:args (x :target r :scs (unsigned-reg)
274 :load-if (not (and (sc-is x unsigned-stack)
276 (sc-is r unsigned-stack)
278 (y :scs (signed-reg signed-stack)))
279 (:arg-types unsigned-num signed-num))
282 (define-vop (fast-+-c/signed=>signed fast-safe-arith-op)
284 (:args (x :target r :scs (signed-reg signed-stack)))
286 (:arg-types signed-num (:constant (signed-byte 32)))
287 (:results (r :scs (signed-reg)
288 :load-if (not (location= x r))))
289 (:result-types signed-num)
290 (:note "inline (signed-byte 32) arithmetic")
292 (cond ((and (sc-is x signed-reg) (sc-is r signed-reg)
293 (not (location= x r)))
294 (inst lea r (make-ea :dword :base x :disp y)))
301 (define-vop (fast-+/unsigned=>unsigned fast-safe-arith-op)
303 (:args (x :scs (unsigned-reg) :target r
304 :load-if (not (and (sc-is x unsigned-stack)
305 (sc-is y unsigned-reg)
306 (sc-is r unsigned-stack)
308 (y :scs (unsigned-reg unsigned-stack)))
309 (:arg-types unsigned-num unsigned-num)
310 (:results (r :scs (unsigned-reg) :from (:argument 0)
311 :load-if (not (and (sc-is x unsigned-stack)
312 (sc-is y unsigned-reg)
313 (sc-is r unsigned-stack)
315 (:result-types unsigned-num)
316 (:note "inline (unsigned-byte 32) arithmetic")
318 (cond ((and (sc-is x unsigned-reg) (sc-is y unsigned-reg)
319 (sc-is r unsigned-reg) (not (location= x r)))
320 (inst lea r (make-ea :dword :base x :index y :scale 1)))
325 (define-vop (fast-+-c/unsigned=>unsigned fast-safe-arith-op)
327 (:args (x :target r :scs (unsigned-reg unsigned-stack)))
329 (:arg-types unsigned-num (:constant (unsigned-byte 32)))
330 (:results (r :scs (unsigned-reg)
331 :load-if (not (location= x r))))
332 (:result-types unsigned-num)
333 (:note "inline (unsigned-byte 32) arithmetic")
335 (cond ((and (sc-is x unsigned-reg) (sc-is r unsigned-reg)
336 (not (location= x r)))
337 (inst lea r (make-ea :dword :base x :disp y)))
344 ;;;; multiplication and division
346 (define-vop (fast-*/fixnum=>fixnum fast-safe-arith-op)
348 ;; We need different loading characteristics.
349 (:args (x :scs (any-reg) :target r)
350 (y :scs (any-reg control-stack)))
351 (:arg-types tagged-num tagged-num)
352 (:results (r :scs (any-reg) :from (:argument 0)))
353 (:result-types tagged-num)
354 (:note "inline fixnum arithmetic")
360 (define-vop (fast-*-c/fixnum=>fixnum fast-safe-arith-op)
362 ;; We need different loading characteristics.
363 (:args (x :scs (any-reg control-stack)))
365 (:arg-types tagged-num (:constant (signed-byte 30)))
366 (:results (r :scs (any-reg)))
367 (:result-types tagged-num)
368 (:note "inline fixnum arithmetic")
372 (define-vop (fast-*/signed=>signed fast-safe-arith-op)
374 ;; We need different loading characteristics.
375 (:args (x :scs (signed-reg) :target r)
376 (y :scs (signed-reg signed-stack)))
377 (:arg-types signed-num signed-num)
378 (:results (r :scs (signed-reg) :from (:argument 0)))
379 (:result-types signed-num)
380 (:note "inline (signed-byte 32) arithmetic")
385 (define-vop (fast-*-c/signed=>signed fast-safe-arith-op)
387 ;; We need different loading characteristics.
388 (:args (x :scs (signed-reg signed-stack)))
390 (:arg-types signed-num (:constant (signed-byte 32)))
391 (:results (r :scs (signed-reg)))
392 (:result-types signed-num)
393 (:note "inline (signed-byte 32) arithmetic")
397 (define-vop (fast-*/unsigned=>unsigned fast-safe-arith-op)
399 (:args (x :scs (unsigned-reg) :target eax)
400 (y :scs (unsigned-reg unsigned-stack)))
401 (:arg-types unsigned-num unsigned-num)
402 (:temporary (:sc unsigned-reg :offset eax-offset :target result
403 :from (:argument 0) :to :result) eax)
404 (:temporary (:sc unsigned-reg :offset edx-offset
405 :from :eval :to :result) edx)
407 (:results (result :scs (unsigned-reg)))
408 (:result-types unsigned-num)
409 (:note "inline (unsigned-byte 32) arithmetic")
411 (:save-p :compute-only)
418 (define-vop (fast-truncate/fixnum=>fixnum fast-safe-arith-op)
419 (:translate truncate)
420 (:args (x :scs (any-reg) :target eax)
421 (y :scs (any-reg control-stack)))
422 (:arg-types tagged-num tagged-num)
423 (:temporary (:sc signed-reg :offset eax-offset :target quo
424 :from (:argument 0) :to (:result 0)) eax)
425 (:temporary (:sc unsigned-reg :offset edx-offset :target rem
426 :from (:argument 0) :to (:result 1)) edx)
427 (:results (quo :scs (any-reg))
428 (rem :scs (any-reg)))
429 (:result-types tagged-num tagged-num)
430 (:note "inline fixnum arithmetic")
432 (:save-p :compute-only)
434 (let ((zero (generate-error-code vop division-by-zero-error x y)))
435 (if (sc-is y any-reg)
436 (inst test y y) ; smaller instruction
442 (if (location= quo eax)
444 (inst lea quo (make-ea :dword :index eax :scale 4)))
447 (define-vop (fast-truncate-c/fixnum=>fixnum fast-safe-arith-op)
448 (:translate truncate)
449 (:args (x :scs (any-reg) :target eax))
451 (:arg-types tagged-num (:constant (signed-byte 30)))
452 (:temporary (:sc signed-reg :offset eax-offset :target quo
453 :from :argument :to (:result 0)) eax)
454 (:temporary (:sc any-reg :offset edx-offset :target rem
455 :from :eval :to (:result 1)) edx)
456 (:temporary (:sc any-reg :from :eval :to :result) y-arg)
457 (:results (quo :scs (any-reg))
458 (rem :scs (any-reg)))
459 (:result-types tagged-num tagged-num)
460 (:note "inline fixnum arithmetic")
462 (:save-p :compute-only)
466 (inst mov y-arg (fixnumize y))
467 (inst idiv eax y-arg)
468 (if (location= quo eax)
470 (inst lea quo (make-ea :dword :index eax :scale 4)))
473 (define-vop (fast-truncate/unsigned=>unsigned fast-safe-arith-op)
474 (:translate truncate)
475 (:args (x :scs (unsigned-reg) :target eax)
476 (y :scs (unsigned-reg signed-stack)))
477 (:arg-types unsigned-num unsigned-num)
478 (:temporary (:sc unsigned-reg :offset eax-offset :target quo
479 :from (:argument 0) :to (:result 0)) eax)
480 (:temporary (:sc unsigned-reg :offset edx-offset :target rem
481 :from (:argument 0) :to (:result 1)) edx)
482 (:results (quo :scs (unsigned-reg))
483 (rem :scs (unsigned-reg)))
484 (:result-types unsigned-num unsigned-num)
485 (:note "inline (unsigned-byte 32) arithmetic")
487 (:save-p :compute-only)
489 (let ((zero (generate-error-code vop division-by-zero-error x y)))
490 (if (sc-is y unsigned-reg)
491 (inst test y y) ; smaller instruction
500 (define-vop (fast-truncate-c/unsigned=>unsigned fast-safe-arith-op)
501 (:translate truncate)
502 (:args (x :scs (unsigned-reg) :target eax))
504 (:arg-types unsigned-num (:constant (unsigned-byte 32)))
505 (:temporary (:sc unsigned-reg :offset eax-offset :target quo
506 :from :argument :to (:result 0)) eax)
507 (:temporary (:sc unsigned-reg :offset edx-offset :target rem
508 :from :eval :to (:result 1)) edx)
509 (:temporary (:sc unsigned-reg :from :eval :to :result) y-arg)
510 (:results (quo :scs (unsigned-reg))
511 (rem :scs (unsigned-reg)))
512 (:result-types unsigned-num unsigned-num)
513 (:note "inline (unsigned-byte 32) arithmetic")
515 (:save-p :compute-only)
524 (define-vop (fast-truncate/signed=>signed fast-safe-arith-op)
525 (:translate truncate)
526 (:args (x :scs (signed-reg) :target eax)
527 (y :scs (signed-reg signed-stack)))
528 (:arg-types signed-num signed-num)
529 (:temporary (:sc signed-reg :offset eax-offset :target quo
530 :from (:argument 0) :to (:result 0)) eax)
531 (:temporary (:sc signed-reg :offset edx-offset :target rem
532 :from (:argument 0) :to (:result 1)) edx)
533 (:results (quo :scs (signed-reg))
534 (rem :scs (signed-reg)))
535 (:result-types signed-num signed-num)
536 (:note "inline (signed-byte 32) arithmetic")
538 (:save-p :compute-only)
540 (let ((zero (generate-error-code vop division-by-zero-error x y)))
541 (if (sc-is y signed-reg)
542 (inst test y y) ; smaller instruction
551 (define-vop (fast-truncate-c/signed=>signed fast-safe-arith-op)
552 (:translate truncate)
553 (:args (x :scs (signed-reg) :target eax))
555 (:arg-types signed-num (:constant (signed-byte 32)))
556 (:temporary (:sc signed-reg :offset eax-offset :target quo
557 :from :argument :to (:result 0)) eax)
558 (:temporary (:sc signed-reg :offset edx-offset :target rem
559 :from :eval :to (:result 1)) edx)
560 (:temporary (:sc signed-reg :from :eval :to :result) y-arg)
561 (:results (quo :scs (signed-reg))
562 (rem :scs (signed-reg)))
563 (:result-types signed-num signed-num)
564 (:note "inline (signed-byte 32) arithmetic")
566 (:save-p :compute-only)
571 (inst idiv eax y-arg)
578 (define-vop (fast-ash-c/fixnum=>fixnum)
581 (:args (number :scs (any-reg) :target result
582 :load-if (not (and (sc-is number any-reg control-stack)
583 (sc-is result any-reg control-stack)
584 (location= number result)))))
586 (:arg-types tagged-num (:constant integer))
587 (:results (result :scs (any-reg)
588 :load-if (not (and (sc-is number control-stack)
589 (sc-is result control-stack)
590 (location= number result)))))
591 (:result-types tagged-num)
594 (cond ((and (= amount 1) (not (location= number result)))
595 (inst lea result (make-ea :dword :index number :scale 2)))
596 ((and (= amount 2) (not (location= number result)))
597 (inst lea result (make-ea :dword :index number :scale 4)))
598 ((and (= amount 3) (not (location= number result)))
599 (inst lea result (make-ea :dword :index number :scale 8)))
602 (cond ((plusp amount)
603 ;; We don't have to worry about overflow because of the
604 ;; result type restriction.
605 (inst shl result amount))
607 ;; If the amount is greater than 31, only shift by 31. We
608 ;; have to do this because the shift instructions only look
609 ;; at the low five bits of the result.
610 (inst sar result (min 31 (- amount)))
611 ;; Fixnum correction.
612 (inst and result #xfffffffc)))))))
614 (define-vop (fast-ash-left/fixnum=>fixnum)
616 (:args (number :scs (any-reg) :target result
617 :load-if (not (and (sc-is number control-stack)
618 (sc-is result control-stack)
619 (location= number result))))
620 (amount :scs (unsigned-reg) :target ecx))
621 (:arg-types tagged-num positive-fixnum)
622 (:temporary (:sc unsigned-reg :offset ecx-offset :from (:argument 1)) ecx)
623 (:results (result :scs (any-reg) :from (:argument 0)
624 :load-if (not (and (sc-is number control-stack)
625 (sc-is result control-stack)
626 (location= number result)))))
627 (:result-types tagged-num)
633 ;; The result-type ensures us that this shift will not overflow.
634 (inst shl result :cl)))
636 (define-vop (fast-ash-c)
639 (:args (number :scs (signed-reg unsigned-reg) :target result
640 :load-if (not (and (sc-is number signed-stack unsigned-stack)
641 (sc-is result signed-stack unsigned-stack)
642 (location= number result)))))
644 (:arg-types (:or signed-num unsigned-num) (:constant integer))
645 (:results (result :scs (signed-reg unsigned-reg)
647 (and (sc-is number signed-stack unsigned-stack)
648 (sc-is result signed-stack unsigned-stack)
649 (location= number result)))))
650 (:result-types (:or signed-num unsigned-num))
653 (cond ((and (= amount 1) (not (location= number result)))
654 (inst lea result (make-ea :dword :index number :scale 2)))
655 ((and (= amount 2) (not (location= number result)))
656 (inst lea result (make-ea :dword :index number :scale 4)))
657 ((and (= amount 3) (not (location= number result)))
658 (inst lea result (make-ea :dword :index number :scale 8)))
661 (cond ((plusp amount)
662 ;; We don't have to worry about overflow because of the
663 ;; result type restriction.
664 (inst shl result amount))
665 ((sc-is number signed-reg signed-stack)
666 ;; If the amount is greater than 31, only shift by 31. We
667 ;; have to do this because the shift instructions only look
668 ;; at the low five bits of the result.
669 (inst sar result (min 31 (- amount))))
671 (inst shr result (min 31 (- amount)))))))))
673 (define-vop (fast-ash-left)
675 (:args (number :scs (signed-reg unsigned-reg) :target result
676 :load-if (not (and (sc-is number signed-stack unsigned-stack)
677 (sc-is result signed-stack unsigned-stack)
678 (location= number result))))
679 (amount :scs (unsigned-reg) :target ecx))
680 (:arg-types (:or signed-num unsigned-num) positive-fixnum)
681 (:temporary (:sc unsigned-reg :offset ecx-offset :from (:argument 1)) ecx)
682 (:results (result :scs (signed-reg unsigned-reg) :from (:argument 0)
684 (and (sc-is number signed-stack unsigned-stack)
685 (sc-is result signed-stack unsigned-stack)
686 (location= number result)))))
687 (:result-types (:or signed-num unsigned-num))
693 ;; The result-type ensures us that this shift will not overflow.
694 (inst shl result :cl)))
696 (define-vop (fast-ash)
699 (:args (number :scs (signed-reg unsigned-reg) :target result)
700 (amount :scs (signed-reg) :target ecx))
701 (:arg-types (:or signed-num unsigned-num) signed-num)
702 (:results (result :scs (signed-reg unsigned-reg) :from (:argument 0)))
703 (:result-types (:or signed-num unsigned-num))
704 (:temporary (:sc signed-reg :offset ecx-offset :from (:argument 1)) ecx)
710 (inst jmp :ns positive)
717 (signed-reg (inst sar result :cl))
718 (unsigned-reg (inst shr result :cl)))
722 ;; The result-type ensures us that this shift will not overflow.
723 (inst shl result :cl)
727 ;;; Note: documentation for this function is wrong - rtfm
728 (define-vop (signed-byte-32-len)
729 (:translate integer-length)
730 (:note "inline (signed-byte 32) integer-length")
732 (:args (arg :scs (signed-reg) :target res))
733 (:arg-types signed-num)
734 (:results (res :scs (any-reg)))
735 (:result-types positive-fixnum)
751 (define-vop (unsigned-byte-32-count)
752 (:translate logcount)
753 (:note "inline (unsigned-byte 32) logcount")
755 (:args (arg :scs (unsigned-reg)))
756 (:arg-types unsigned-num)
757 (:results (result :scs (unsigned-reg)))
758 (:result-types positive-fixnum)
759 (:temporary (:sc unsigned-reg :from (:argument 0)) temp)
763 (inst mov temp result)
765 (inst and result #x55555555)
766 (inst and temp #x55555555)
767 (inst add result temp)
769 (inst mov temp result)
771 (inst and result #x33333333)
772 (inst and temp #x33333333)
773 (inst add result temp)
775 (inst mov temp result)
777 (inst and result #x0f0f0f0f)
778 (inst and temp #x0f0f0f0f)
779 (inst add result temp)
781 (inst mov temp result)
783 (inst and result #x00ff00ff)
784 (inst and temp #x00ff00ff)
785 (inst add result temp)
787 (inst mov temp result)
789 (inst and result #x0000ffff)
790 (inst and temp #x0000ffff)
791 (inst add result temp)))
793 ;;;; binary conditional VOPs
795 (define-vop (fast-conditional)
800 (:policy :fast-safe))
802 (define-vop (fast-conditional/fixnum fast-conditional)
803 (:args (x :scs (any-reg)
804 :load-if (not (and (sc-is x control-stack)
806 (y :scs (any-reg control-stack)))
807 (:arg-types tagged-num tagged-num)
808 (:note "inline fixnum comparison"))
810 (define-vop (fast-conditional-c/fixnum fast-conditional/fixnum)
811 (:args (x :scs (any-reg control-stack)))
812 (:arg-types tagged-num (:constant (signed-byte 30)))
813 (:info target not-p y))
815 (define-vop (fast-conditional/signed fast-conditional)
816 (:args (x :scs (signed-reg)
817 :load-if (not (and (sc-is x signed-stack)
818 (sc-is y signed-reg))))
819 (y :scs (signed-reg signed-stack)))
820 (:arg-types signed-num signed-num)
821 (:note "inline (signed-byte 32) comparison"))
823 (define-vop (fast-conditional-c/signed fast-conditional/signed)
824 (:args (x :scs (signed-reg signed-stack)))
825 (:arg-types signed-num (:constant (signed-byte 32)))
826 (:info target not-p y))
828 (define-vop (fast-conditional/unsigned fast-conditional)
829 (:args (x :scs (unsigned-reg)
830 :load-if (not (and (sc-is x unsigned-stack)
831 (sc-is y unsigned-reg))))
832 (y :scs (unsigned-reg unsigned-stack)))
833 (:arg-types unsigned-num unsigned-num)
834 (:note "inline (unsigned-byte 32) comparison"))
836 (define-vop (fast-conditional-c/unsigned fast-conditional/unsigned)
837 (:args (x :scs (unsigned-reg unsigned-stack)))
838 (:arg-types unsigned-num (:constant (unsigned-byte 32)))
839 (:info target not-p y))
842 (macrolet ((define-conditional-vop (tran cond unsigned not-cond not-unsigned)
845 (lambda (suffix cost signed)
846 `(define-vop (;; FIXME: These could be done more
847 ;; cleanly with SYMBOLICATE.
848 ,(intern (format nil "~:@(FAST-IF-~A~A~)"
851 (format nil "~:@(FAST-CONDITIONAL~A~)"
856 ,(if (eq suffix '-c/fixnum)
867 '(/fixnum -c/fixnum /signed -c/signed /unsigned -c/unsigned)
869 '(t t t t nil nil)))))
871 (define-conditional-vop < :l :b :ge :ae)
872 (define-conditional-vop > :g :a :le :be))
874 (define-vop (fast-if-eql/signed fast-conditional/signed)
878 (inst jmp (if not-p :ne :e) target)))
880 (define-vop (fast-if-eql-c/signed fast-conditional-c/signed)
883 (cond ((and (sc-is x signed-reg) (zerop y))
884 (inst test x x)) ; smaller instruction
887 (inst jmp (if not-p :ne :e) target)))
889 (define-vop (fast-if-eql/unsigned fast-conditional/unsigned)
893 (inst jmp (if not-p :ne :e) target)))
895 (define-vop (fast-if-eql-c/unsigned fast-conditional-c/unsigned)
898 (cond ((and (sc-is x unsigned-reg) (zerop y))
899 (inst test x x)) ; smaller instruction
902 (inst jmp (if not-p :ne :e) target)))
904 ;;; EQL/FIXNUM is funny because the first arg can be of any type, not just a
907 ;;; These versions specify a fixnum restriction on their first arg. We have
908 ;;; also generic-eql/fixnum VOPs which are the same, but have no restriction on
909 ;;; the first arg and a higher cost. The reason for doing this is to prevent
910 ;;; fixnum specific operations from being used on word integers, spuriously
911 ;;; consing the argument.
913 (define-vop (fast-eql/fixnum fast-conditional)
914 (:args (x :scs (any-reg)
915 :load-if (not (and (sc-is x control-stack)
917 (y :scs (any-reg control-stack)))
918 (:arg-types tagged-num tagged-num)
919 (:note "inline fixnum comparison")
923 (inst jmp (if not-p :ne :e) target)))
924 (define-vop (generic-eql/fixnum fast-eql/fixnum)
925 (:args (x :scs (any-reg descriptor-reg)
926 :load-if (not (and (sc-is x control-stack)
928 (y :scs (any-reg control-stack)))
929 (:arg-types * tagged-num)
932 (define-vop (fast-eql-c/fixnum fast-conditional/fixnum)
933 (:args (x :scs (any-reg control-stack)))
934 (:arg-types tagged-num (:constant (signed-byte 30)))
935 (:info target not-p y)
938 (cond ((and (sc-is x any-reg) (zerop y))
939 (inst test x x)) ; smaller instruction
941 (inst cmp x (fixnumize y))))
942 (inst jmp (if not-p :ne :e) target)))
943 (define-vop (generic-eql-c/fixnum fast-eql-c/fixnum)
944 (:args (x :scs (any-reg descriptor-reg control-stack)))
945 (:arg-types * (:constant (signed-byte 30)))
948 ;;;; 32-bit logical operations
950 (define-vop (merge-bits)
951 (:translate merge-bits)
952 (:args (shift :scs (signed-reg unsigned-reg) :target ecx)
953 (prev :scs (unsigned-reg) :target result)
954 (next :scs (unsigned-reg)))
955 (:arg-types tagged-num unsigned-num unsigned-num)
956 (:temporary (:sc signed-reg :offset ecx-offset :from (:argument 0)) ecx)
957 (:results (result :scs (unsigned-reg) :from (:argument 1)))
958 (:result-types unsigned-num)
963 (inst shrd result next :cl)))
965 (define-vop (32bit-logical)
966 (:args (x :scs (unsigned-reg) :target r
967 :load-if (not (and (sc-is x unsigned-stack)
968 (sc-is r unsigned-stack)
970 (y :scs (unsigned-reg)
971 :load-if (or (not (sc-is y unsigned-stack))
972 (and (sc-is x unsigned-stack)
973 (sc-is y unsigned-stack)
975 (:arg-types unsigned-num unsigned-num)
976 (:results (r :scs (unsigned-reg)
978 :load-if (not (and (sc-is x unsigned-stack)
979 (sc-is r unsigned-stack)
981 (:result-types unsigned-num)
982 (:policy :fast-safe))
984 (define-vop (32bit-logical-not)
985 (:translate 32bit-logical-not)
986 (:args (x :scs (unsigned-reg) :target r
987 :load-if (not (and (sc-is x unsigned-stack)
988 (sc-is r unsigned-stack)
990 (:arg-types unsigned-num)
991 (:results (r :scs (unsigned-reg)
992 :load-if (not (and (sc-is x unsigned-stack)
993 (sc-is r unsigned-stack)
995 (:result-types unsigned-num)
1001 (define-vop (32bit-logical-and 32bit-logical)
1002 (:translate 32bit-logical-and)
1007 (define-source-transform 32bit-logical-nand (x y)
1008 `(32bit-logical-not (32bit-logical-and ,x ,y)))
1010 (define-vop (32bit-logical-or 32bit-logical)
1011 (:translate 32bit-logical-or)
1016 (define-source-transform 32bit-logical-nor (x y)
1017 `(32bit-logical-not (32bit-logical-or ,x ,y)))
1019 (define-vop (32bit-logical-xor 32bit-logical)
1020 (:translate 32bit-logical-xor)
1025 (define-source-transform 32bit-logical-eqv (x y)
1026 `(32bit-logical-not (32bit-logical-xor ,x ,y)))
1028 (define-source-transform 32bit-logical-orc1 (x y)
1029 `(32bit-logical-or (32bit-logical-not ,x) ,y))
1031 (define-source-transform 32bit-logical-orc2 (x y)
1032 `(32bit-logical-or ,x (32bit-logical-not ,y)))
1034 (define-source-transform 32bit-logical-andc1 (x y)
1035 `(32bit-logical-and (32bit-logical-not ,x) ,y))
1037 (define-source-transform 32bit-logical-andc2 (x y)
1038 `(32bit-logical-and ,x (32bit-logical-not ,y)))
1040 ;;; Only the lower 5 bits of the shift amount are significant.
1041 (define-vop (shift-towards-someplace)
1042 (:policy :fast-safe)
1043 (:args (num :scs (unsigned-reg) :target r)
1044 (amount :scs (signed-reg) :target ecx))
1045 (:arg-types unsigned-num tagged-num)
1046 (:temporary (:sc signed-reg :offset ecx-offset :from (:argument 1)) ecx)
1047 (:results (r :scs (unsigned-reg) :from (:argument 0)))
1048 (:result-types unsigned-num))
1050 (define-vop (shift-towards-start shift-towards-someplace)
1051 (:translate shift-towards-start)
1052 (:note "SHIFT-TOWARDS-START")
1058 (define-vop (shift-towards-end shift-towards-someplace)
1059 (:translate shift-towards-end)
1060 (:note "SHIFT-TOWARDS-END")
1068 (define-vop (bignum-length get-header-data)
1069 (:translate sb!bignum::%bignum-length)
1070 (:policy :fast-safe))
1072 (define-vop (bignum-set-length set-header-data)
1073 (:translate sb!bignum::%bignum-set-length)
1074 (:policy :fast-safe))
1076 (define-full-reffer bignum-ref * bignum-digits-offset other-pointer-lowtag
1077 (unsigned-reg) unsigned-num sb!bignum::%bignum-ref)
1079 (define-full-setter bignum-set * bignum-digits-offset other-pointer-lowtag
1080 (unsigned-reg) unsigned-num sb!bignum::%bignum-set)
1082 (define-vop (digit-0-or-plus)
1083 (:translate sb!bignum::%digit-0-or-plusp)
1084 (:policy :fast-safe)
1085 (:args (digit :scs (unsigned-reg)))
1086 (:arg-types unsigned-num)
1088 (:info target not-p)
1090 (inst or digit digit)
1091 (inst jmp (if not-p :s :ns) target)))
1094 ;;; For add and sub with carry the sc of carry argument is any-reg so
1095 ;;; the it may be passed as a fixnum or word and thus may be 0, 1, or
1096 ;;; 4. This is easy to deal with and may save a fixnum-word
1098 (define-vop (add-w/carry)
1099 (:translate sb!bignum::%add-with-carry)
1100 (:policy :fast-safe)
1101 (:args (a :scs (unsigned-reg) :target result)
1102 (b :scs (unsigned-reg unsigned-stack) :to :eval)
1103 (c :scs (any-reg) :target temp))
1104 (:arg-types unsigned-num unsigned-num positive-fixnum)
1105 (:temporary (:sc any-reg :from (:argument 2) :to :eval) temp)
1106 (:results (result :scs (unsigned-reg) :from (:argument 0))
1107 (carry :scs (unsigned-reg)))
1108 (:result-types unsigned-num positive-fixnum)
1112 (inst neg temp) ; Set the carry flag to 0 if c=0 else to 1
1115 (inst adc carry carry)))
1117 ;;; Note: the borrow is the oppostite of the x86 convention - 1 for no
1118 ;;; borrow and 0 for a borrow.
1119 (define-vop (sub-w/borrow)
1120 (:translate sb!bignum::%subtract-with-borrow)
1121 (:policy :fast-safe)
1122 (:args (a :scs (unsigned-reg) :to :eval :target result)
1123 (b :scs (unsigned-reg unsigned-stack) :to :result)
1124 (c :scs (any-reg control-stack)))
1125 (:arg-types unsigned-num unsigned-num positive-fixnum)
1126 (:results (result :scs (unsigned-reg) :from :eval)
1127 (borrow :scs (unsigned-reg)))
1128 (:result-types unsigned-num positive-fixnum)
1130 (inst cmp c 1) ; Set the carry flag to 1 if c=0 else to 0
1134 (inst adc borrow borrow)
1135 (inst xor borrow 1)))
1138 (define-vop (bignum-mult-and-add-3-arg)
1139 (:translate sb!bignum::%multiply-and-add)
1140 (:policy :fast-safe)
1141 (:args (x :scs (unsigned-reg) :target eax)
1142 (y :scs (unsigned-reg unsigned-stack))
1143 (carry-in :scs (unsigned-reg unsigned-stack)))
1144 (:arg-types unsigned-num unsigned-num unsigned-num)
1145 (:temporary (:sc unsigned-reg :offset eax-offset :from (:argument 0)
1146 :to (:result 1) :target lo) eax)
1147 (:temporary (:sc unsigned-reg :offset edx-offset :from (:argument 1)
1148 :to (:result 0) :target hi) edx)
1149 (:results (hi :scs (unsigned-reg))
1150 (lo :scs (unsigned-reg)))
1151 (:result-types unsigned-num unsigned-num)
1155 (inst add eax carry-in)
1160 (define-vop (bignum-mult-and-add-4-arg)
1161 (:translate sb!bignum::%multiply-and-add)
1162 (:policy :fast-safe)
1163 (:args (x :scs (unsigned-reg) :target eax)
1164 (y :scs (unsigned-reg unsigned-stack))
1165 (prev :scs (unsigned-reg unsigned-stack))
1166 (carry-in :scs (unsigned-reg unsigned-stack)))
1167 (:arg-types unsigned-num unsigned-num unsigned-num unsigned-num)
1168 (:temporary (:sc unsigned-reg :offset eax-offset :from (:argument 0)
1169 :to (:result 1) :target lo) eax)
1170 (:temporary (:sc unsigned-reg :offset edx-offset :from (:argument 1)
1171 :to (:result 0) :target hi) edx)
1172 (:results (hi :scs (unsigned-reg))
1173 (lo :scs (unsigned-reg)))
1174 (:result-types unsigned-num unsigned-num)
1180 (inst add eax carry-in)
1186 (define-vop (bignum-mult)
1187 (:translate sb!bignum::%multiply)
1188 (:policy :fast-safe)
1189 (:args (x :scs (unsigned-reg) :target eax)
1190 (y :scs (unsigned-reg unsigned-stack)))
1191 (:arg-types unsigned-num unsigned-num)
1192 (:temporary (:sc unsigned-reg :offset eax-offset :from (:argument 0)
1193 :to (:result 1) :target lo) eax)
1194 (:temporary (:sc unsigned-reg :offset edx-offset :from (:argument 1)
1195 :to (:result 0) :target hi) edx)
1196 (:results (hi :scs (unsigned-reg))
1197 (lo :scs (unsigned-reg)))
1198 (:result-types unsigned-num unsigned-num)
1205 (define-vop (bignum-lognot)
1206 (:translate sb!bignum::%lognot)
1207 (:policy :fast-safe)
1208 (:args (x :scs (unsigned-reg unsigned-stack) :target r))
1209 (:arg-types unsigned-num)
1210 (:results (r :scs (unsigned-reg)
1211 :load-if (not (location= x r))))
1212 (:result-types unsigned-num)
1217 (define-vop (fixnum-to-digit)
1218 (:translate sb!bignum::%fixnum-to-digit)
1219 (:policy :fast-safe)
1220 (:args (fixnum :scs (any-reg control-stack) :target digit))
1221 (:arg-types tagged-num)
1222 (:results (digit :scs (unsigned-reg)
1223 :load-if (not (and (sc-is fixnum control-stack)
1224 (sc-is digit unsigned-stack)
1225 (location= fixnum digit)))))
1226 (:result-types unsigned-num)
1229 (inst sar digit 2)))
1231 (define-vop (bignum-floor)
1232 (:translate sb!bignum::%floor)
1233 (:policy :fast-safe)
1234 (:args (div-high :scs (unsigned-reg) :target edx)
1235 (div-low :scs (unsigned-reg) :target eax)
1236 (divisor :scs (unsigned-reg unsigned-stack)))
1237 (:arg-types unsigned-num unsigned-num unsigned-num)
1238 (:temporary (:sc unsigned-reg :offset eax-offset :from (:argument 1)
1239 :to (:result 0) :target quo) eax)
1240 (:temporary (:sc unsigned-reg :offset edx-offset :from (:argument 0)
1241 :to (:result 1) :target rem) edx)
1242 (:results (quo :scs (unsigned-reg))
1243 (rem :scs (unsigned-reg)))
1244 (:result-types unsigned-num unsigned-num)
1248 (inst div eax divisor)
1252 (define-vop (signify-digit)
1253 (:translate sb!bignum::%fixnum-digit-with-correct-sign)
1254 (:policy :fast-safe)
1255 (:args (digit :scs (unsigned-reg unsigned-stack) :target res))
1256 (:arg-types unsigned-num)
1257 (:results (res :scs (any-reg signed-reg)
1258 :load-if (not (and (sc-is digit unsigned-stack)
1259 (sc-is res control-stack signed-stack)
1260 (location= digit res)))))
1261 (:result-types signed-num)
1264 (when (sc-is res any-reg control-stack)
1267 (define-vop (digit-ashr)
1268 (:translate sb!bignum::%ashr)
1269 (:policy :fast-safe)
1270 (:args (digit :scs (unsigned-reg unsigned-stack) :target result)
1271 (count :scs (unsigned-reg) :target ecx))
1272 (:arg-types unsigned-num positive-fixnum)
1273 (:temporary (:sc unsigned-reg :offset ecx-offset :from (:argument 1)) ecx)
1274 (:results (result :scs (unsigned-reg) :from (:argument 0)
1275 :load-if (not (and (sc-is result unsigned-stack)
1276 (location= digit result)))))
1277 (:result-types unsigned-num)
1281 (inst sar result :cl)))
1283 (define-vop (digit-lshr digit-ashr)
1284 (:translate sb!bignum::%digit-logical-shift-right)
1288 (inst shr result :cl)))
1290 (define-vop (digit-ashl digit-ashr)
1291 (:translate sb!bignum::%ashl)
1295 (inst shl result :cl)))
1297 ;;;; static functions
1299 (define-static-fun two-arg-/ (x y) :translate /)
1301 (define-static-fun two-arg-gcd (x y) :translate gcd)
1302 (define-static-fun two-arg-lcm (x y) :translate lcm)
1304 (define-static-fun two-arg-and (x y) :translate logand)
1305 (define-static-fun two-arg-ior (x y) :translate logior)
1306 (define-static-fun two-arg-xor (x y) :translate logxor)
1309 ;;; Support for the Mersenne Twister, MT19937, random number generator
1310 ;;; due to Matsumoto and Nishimura.
1312 ;;; Makoto Matsumoto and T. Nishimura, "Mersenne twister: A
1313 ;;; 623-dimensionally equidistributed uniform pseudorandom number
1314 ;;; generator.", ACM Transactions on Modeling and Computer Simulation,
1315 ;;; 1997, to appear.
1318 ;;; 0-1: Constant matrix A. [0, #x9908b0df] (not used here)
1319 ;;; 2: Index; init. to 1.
1321 (defknown random-mt19937 ((simple-array (unsigned-byte 32) (*)))
1322 (unsigned-byte 32) ())
1323 (define-vop (random-mt19937)
1324 (:policy :fast-safe)
1325 (:translate random-mt19937)
1326 (:args (state :scs (descriptor-reg) :to :result))
1327 (:arg-types simple-array-unsigned-byte-32)
1328 (:temporary (:sc unsigned-reg :from (:eval 0) :to :result) k)
1329 (:temporary (:sc unsigned-reg :offset eax-offset
1330 :from (:eval 0) :to :result) tmp)
1331 (:results (y :scs (unsigned-reg) :from (:eval 0)))
1332 (:result-types unsigned-num)
1334 (inst mov k (make-ea :dword :base state
1335 :disp (- (* (+ 2 vector-data-offset)
1337 other-pointer-lowtag)))
1339 (inst jmp :ne no-update)
1340 (inst mov tmp state) ; The state is passed in EAX.
1341 (inst call (make-fixup 'random-mt19937-update :assembly-routine))
1342 ;; Restore k, and set to 0.
1346 (inst mov y (make-ea :dword :base state :index k :scale 4
1347 :disp (- (* (+ 3 vector-data-offset)
1349 other-pointer-lowtag)))
1352 (inst xor y (make-ea :dword :base state :index k :scale 4
1353 :disp (- (* (+ 3 vector-data-offset)
1355 other-pointer-lowtag)))
1356 ;; y ^= (y << 7) & #x9d2c5680
1360 (inst mov (make-ea :dword :base state
1361 :disp (- (* (+ 2 vector-data-offset)
1363 other-pointer-lowtag))
1365 (inst and tmp #x9d2c5680)
1367 ;; y ^= (y << 15) & #xefc60000
1370 (inst and tmp #xefc60000)