src/compiler/mips/arith.lisp

   1 ;;;; the VM definition arithmetic VOPs for MIPS
   2
   3 ;;;; This software is part of the SBCL system. See the README file for
   4 ;;;; more information.
   5 ;;;;
   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.
  11
  12 (in-package "SB!VM")
  13 \f
  14 ;;;; Unary operations.
  15
  16 (define-vop (fixnum-unop)
  17   (:args (x :scs (any-reg)))
  18   (:results (res :scs (any-reg)))
  19   (:note "inline fixnum arithmetic")
  20   (:arg-types tagged-num)
  21   (:result-types tagged-num)
  22   (:policy :fast-safe))
  23
  24 (define-vop (signed-unop)
  25   (:args (x :scs (signed-reg)))
  26   (:results (res :scs (signed-reg)))
  27   (:note "inline (signed-byte 32) arithmetic")
  28   (:arg-types signed-num)
  29   (:result-types signed-num)
  30   (:policy :fast-safe))
  31
  32 (define-vop (fast-negate/fixnum fixnum-unop)
  33   (:translate %negate)
  34   (:generator 1
  35     (inst subu res zero-tn x)))
  36
  37 (define-vop (fast-negate/signed signed-unop)
  38   (:translate %negate)
  39   (:generator 2
  40     (inst subu res zero-tn x)))
  41
  42 (define-vop (fast-lognot/fixnum fixnum-unop)
  43   (:temporary (:scs (any-reg) :type fixnum :to (:result 0))
  44               temp)
  45   (:translate lognot)
  46   (:generator 2
  47     (inst li temp (fixnumize -1))
  48     (inst xor res x temp)))
  49
  50 (define-vop (fast-lognot/signed signed-unop)
  51   (:translate lognot)
  52   (:generator 1
  53     (inst nor res x zero-tn)))
  54
  55
  56 \f
  57 ;;;; Binary fixnum operations.
  58
  59 ;;; Assume that any constant operand is the second arg...
  60
  61 (define-vop (fast-fixnum-binop)
  62   (:args (x :target r :scs (any-reg))
  63          (y :target r :scs (any-reg)))
  64   (:arg-types tagged-num tagged-num)
  65   (:results (r :scs (any-reg)))
  66   (:result-types tagged-num)
  67   (:note "inline fixnum arithmetic")
  68   (:effects)
  69   (:affected)
  70   (:policy :fast-safe))
  71
  72 (define-vop (fast-unsigned-binop)
  73   (:args (x :target r :scs (unsigned-reg))
  74          (y :target r :scs (unsigned-reg)))
  75   (:arg-types unsigned-num unsigned-num)
  76   (:results (r :scs (unsigned-reg)))
  77   (:result-types unsigned-num)
  78   (:note "inline (unsigned-byte 32) arithmetic")
  79   (:effects)
  80   (:affected)
  81   (:policy :fast-safe))
  82
  83 (define-vop (fast-signed-binop)
  84   (:args (x :target r :scs (signed-reg))
  85          (y :target r :scs (signed-reg)))
  86   (:arg-types signed-num signed-num)
  87   (:results (r :scs (signed-reg)))
  88   (:result-types signed-num)
  89   (:note "inline (signed-byte 32) arithmetic")
  90   (:effects)
  91   (:affected)
  92   (:policy :fast-safe))
  93
  94 (define-vop (fast-fixnum-c-binop fast-fixnum-binop)
  95   (:args (x :target r :scs (any-reg)))
  96   (:info y)
  97   (:arg-types tagged-num (:constant integer)))
  98
  99 (define-vop (fast-signed-c-binop fast-signed-binop)
 100   (:args (x :target r :scs (signed-reg)))
 101   (:info y)
 102   (:arg-types tagged-num (:constant integer)))
 103
 104 (define-vop (fast-unsigned-c-binop fast-unsigned-binop)
 105   (:args (x :target r :scs (unsigned-reg)))
 106   (:info y)
 107   (:arg-types tagged-num (:constant integer)))
 108
 109 (defmacro define-binop (translate cost untagged-cost op
 110                                   tagged-type untagged-type)
 111   `(progn
 112      (define-vop (,(symbolicate "FAST-" translate "/FIXNUM=>FIXNUM")
 113                   fast-fixnum-binop)
 114        (:args (x :target r :scs (any-reg))
 115               (y :target r :scs (any-reg)))
 116        (:translate ,translate)
 117        (:generator ,(1+ cost)
 118          (inst ,op r x y)))
 119      (define-vop (,(symbolicate "FAST-" translate "/SIGNED=>SIGNED")
 120                   fast-signed-binop)
 121        (:args (x :target r :scs (signed-reg))
 122               (y :target r :scs (signed-reg)))
 123        (:translate ,translate)
 124        (:generator ,(1+ untagged-cost)
 125          (inst ,op r x y)))
 126      (define-vop (,(symbolicate "FAST-" translate "/UNSIGNED=>UNSIGNED")
 127                   fast-unsigned-binop)
 128        (:args (x :target r :scs (unsigned-reg))
 129               (y :target r :scs (unsigned-reg)))
 130        (:translate ,translate)
 131        (:generator ,(1+ untagged-cost)
 132          (inst ,op r x y)))
 133      ,@(when tagged-type
 134          `((define-vop (,(symbolicate "FAST-" translate "-C/FIXNUM=>FIXNUM")
 135                         fast-fixnum-c-binop)
 136                        (:arg-types tagged-num (:constant ,tagged-type))
 137              (:translate ,translate)
 138              (:generator ,cost
 139                          (inst ,op r x (fixnumize y))))))
 140      ,@(when untagged-type
 141          `((define-vop (,(symbolicate "FAST-" translate "-C/SIGNED=>SIGNED")
 142                         fast-signed-c-binop)
 143                        (:arg-types signed-num (:constant ,untagged-type))
 144              (:translate ,translate)
 145              (:generator ,untagged-cost
 146                          (inst ,op r x y)))
 147            (define-vop (,(symbolicate "FAST-" translate
 148                                       "-C/UNSIGNED=>UNSIGNED")
 149                         fast-unsigned-c-binop)
 150                        (:arg-types unsigned-num (:constant ,untagged-type))
 151              (:translate ,translate)
 152              (:generator ,untagged-cost
 153                          (inst ,op r x y)))))))
 154
 155 (define-binop + 1 5 addu (signed-byte 14) (signed-byte 16))
 156 (define-binop - 1 5 subu
 157   (integer #.(- (1- (ash 1 14))) #.(ash 1 14))
 158   (integer #.(- (1- (ash 1 16))) #.(ash 1 16)))
 159 (define-binop logior 1 3 or (unsigned-byte 14) (unsigned-byte 16))
 160 (define-binop logand 1 3 and (unsigned-byte 14) (unsigned-byte 16))
 161 (define-binop logxor 1 3 xor (unsigned-byte 14) (unsigned-byte 16))
 162
 163 ;;; KLUDGE: no FIXNUM VOP for LOGNOR, because there's no efficient way
 164 ;;; of restoring the tag bits.  (No -C/ VOPs for LOGNOR because the
 165 ;;; NOR instruction doesn't take immediate args).  -- CSR, 2003-09-11
 166 (define-vop (fast-lognor/signed=>signed fast-signed-binop)
 167   (:translate lognor)
 168   (:args (x :target r :scs (signed-reg))
 169          (y :target r :scs (signed-reg)))
 170   (:generator 4
 171     (inst nor r x y)))
 172 (define-vop (fast-lognor/unsigned=>unsigned fast-unsigned-binop)
 173   (:translate lognor)
 174   (:args (x :target r :scs (unsigned-reg))
 175          (y :target r :scs (unsigned-reg)))
 176   (:generator 4
 177     (inst nor r x y)))
 178
 179 ;;; Special case fixnum + and - that trap on overflow.  Useful when we don't
 180 ;;; know that the result is going to be a fixnum.
 181 #+nil
 182 (progn
 183   (define-vop (fast-+/fixnum fast-+/fixnum=>fixnum)
 184       (:results (r :scs (any-reg descriptor-reg)))
 185     (:result-types (:or signed-num unsigned-num))
 186     (:note nil)
 187     (:generator 4
 188                 (inst add r x y)))
 189
 190   (define-vop (fast-+-c/fixnum fast-+-c/fixnum=>fixnum)
 191       (:results (r :scs (any-reg descriptor-reg)))
 192     (:result-types (:or signed-num unsigned-num))
 193     (:note nil)
 194     (:generator 3
 195                 (inst add r x (fixnumize y))))
 196
 197   (define-vop (fast--/fixnum fast--/fixnum=>fixnum)
 198       (:results (r :scs (any-reg descriptor-reg)))
 199     (:result-types (:or signed-num unsigned-num))
 200     (:note nil)
 201     (:generator 4
 202                 (inst sub r x y)))
 203
 204   (define-vop (fast---c/fixnum fast---c/fixnum=>fixnum)
 205       (:results (r :scs (any-reg descriptor-reg)))
 206     (:result-types (:or signed-num unsigned-num))
 207     (:note nil)
 208     (:generator 3
 209                 (inst sub r x (fixnumize y))))
 210 ) ; bogus trap-to-c-land +/-
 211
 212 ;;; Shifting
 213
 214 (define-vop (fast-ash/unsigned=>unsigned)
 215   (:note "inline ASH")
 216   (:args (number :scs (unsigned-reg) :to :save)
 217          (amount :scs (signed-reg) :to :save))
 218   (:arg-types unsigned-num signed-num)
 219   (:results (result :scs (unsigned-reg)))
 220   (:result-types unsigned-num)
 221   (:translate ash)
 222   (:policy :fast-safe)
 223   (:temporary (:sc non-descriptor-reg) ndesc)
 224   (:temporary (:sc non-descriptor-reg :to :eval) temp)
 225   (:generator 3
 226     (inst bgez amount positive)
 227     (inst subu ndesc zero-tn amount)
 228     (inst slt temp ndesc 32)
 229     (inst bne temp zero-tn done)
 230     (inst srl result number ndesc)
 231     (inst b done)
 232     (inst move result zero-tn)
 233
 234     POSITIVE
 235     ;; The result-type assures us that this shift will not overflow.
 236     (inst sll result number amount)
 237
 238     DONE))
 239
 240 (define-vop (fast-ash/signed=>signed)
 241   (:note "inline ASH")
 242   (:args (number :scs (signed-reg) :to :save)
 243          (amount :scs (signed-reg)))
 244   (:arg-types signed-num signed-num)
 245   (:results (result :scs (signed-reg)))
 246   (:result-types signed-num)
 247   (:translate ash)
 248   (:policy :fast-safe)
 249   (:temporary (:sc non-descriptor-reg) ndesc)
 250   (:temporary (:sc non-descriptor-reg :to :eval) temp)
 251   (:generator 3
 252     (inst bgez amount positive)
 253     (inst subu ndesc zero-tn amount)
 254     (inst slt temp ndesc 31)
 255     (inst bne temp zero-tn done)
 256     (inst sra result number ndesc)
 257     (inst b done)
 258     (inst sra result number 31)
 259
 260     POSITIVE
 261     ;; The result-type assures us that this shift will not overflow.
 262     (inst sll result number amount)
 263
 264     DONE))
 265
 266
 267 (define-vop (fast-ash-c/unsigned=>unsigned)
 268   (:policy :fast-safe)
 269   (:translate ash)
 270   (:note "inline ASH")
 271   (:args (number :scs (unsigned-reg)))
 272   (:info count)
 273   (:arg-types unsigned-num (:constant integer))
 274   (:results (result :scs (unsigned-reg)))
 275   (:result-types unsigned-num)
 276   (:generator 1
 277     (cond
 278       ((< count -31) (move result zero-tn))
 279       ((< count 0) (inst srl result number (min (- count) 31)))
 280       ((> count 0) (inst sll result number (min count 31)))
 281       (t (bug "identity ASH not transformed away")))))
 282
 283 (define-vop (fast-ash-c/signed=>signed)
 284   (:policy :fast-safe)
 285   (:translate ash)
 286   (:note "inline ASH")
 287   (:args (number :scs (signed-reg)))
 288   (:info count)
 289   (:arg-types signed-num (:constant integer))
 290   (:results (result :scs (signed-reg)))
 291   (:result-types signed-num)
 292   (:generator 1
 293     (cond
 294       ((< count 0) (inst sra result number (min (- count) 31)))
 295       ((> count 0) (inst sll result number (min count 31)))
 296       (t (bug "identity ASH not transformed away")))))
 297
 298 (define-vop (signed-byte-32-len)
 299   (:translate integer-length)
 300   (:note "inline (signed-byte 32) integer-length")
 301   (:policy :fast-safe)
 302   (:args (arg :scs (signed-reg) :target shift))
 303   (:arg-types signed-num)
 304   (:results (res :scs (any-reg)))
 305   (:result-types positive-fixnum)
 306   (:temporary (:scs (non-descriptor-reg) :from (:argument 0)) shift)
 307   (:generator 30
 308     (let ((loop (gen-label))
 309           (test (gen-label)))
 310       (move shift arg)
 311       (inst bgez shift test)
 312       (move res zero-tn)
 313       (inst b test)
 314       (inst nor shift shift)
 315
 316       (emit-label loop)
 317       (inst add res (fixnumize 1))
 318
 319       (emit-label test)
 320       (inst bne shift loop)
 321       (inst srl shift 1))))
 322
 323 (define-vop (unsigned-byte-32-count)
 324   (:translate logcount)
 325   (:note "inline (unsigned-byte 32) logcount")
 326   (:policy :fast-safe)
 327   (:args (arg :scs (unsigned-reg) :target num))
 328   (:arg-types unsigned-num)
 329   (:results (res :scs (unsigned-reg)))
 330   (:result-types positive-fixnum)
 331   (:temporary (:scs (non-descriptor-reg) :from (:argument 0) :to (:result 0)
 332                     :target res) num)
 333   (:temporary (:scs (non-descriptor-reg)) mask temp)
 334   (:generator 30
 335     (inst li mask #x55555555)
 336     (inst srl temp arg 1)
 337     (inst and num arg mask)
 338     (inst and temp mask)
 339     (inst addu num temp)
 340     (inst li mask #x33333333)
 341     (inst srl temp num 2)
 342     (inst and num mask)
 343     (inst and temp mask)
 344     (inst addu num temp)
 345     (inst li mask #x0f0f0f0f)
 346     (inst srl temp num 4)
 347     (inst and num mask)
 348     (inst and temp mask)
 349     (inst addu num temp)
 350     (inst li mask #x00ff00ff)
 351     (inst srl temp num 8)
 352     (inst and num mask)
 353     (inst and temp mask)
 354     (inst addu num temp)
 355     (inst li mask #x0000ffff)
 356     (inst srl temp num 16)
 357     (inst and num mask)
 358     (inst and temp mask)
 359     (inst addu res num temp)))
 360
 361
 362 ;;; Multiply and Divide.
 363
 364 (define-vop (fast-*/fixnum=>fixnum fast-fixnum-binop)
 365   (:temporary (:scs (non-descriptor-reg)) temp)
 366   (:translate *)
 367   (:generator 4
 368     (inst sra temp y 2)
 369     (inst mult x temp)
 370     (inst mflo r)))
 371
 372 (define-vop (fast-*/signed=>signed fast-signed-binop)
 373   (:translate *)
 374   (:generator 3
 375     (inst mult x y)
 376     (inst mflo r)))
 377
 378 (define-vop (fast-*/unsigned=>unsigned fast-unsigned-binop)
 379   (:translate *)
 380   (:generator 3
 381     (inst multu x y)
 382     (inst mflo r)))
 383
 384
 385
 386 (define-vop (fast-truncate/fixnum fast-fixnum-binop)
 387   (:translate truncate)
 388   (:results (q :scs (any-reg))
 389             (r :scs (any-reg)))
 390   (:result-types tagged-num tagged-num)
 391   (:temporary (:scs (non-descriptor-reg) :to :eval) temp)
 392   (:vop-var vop)
 393   (:save-p :compute-only)
 394   (:generator 11
 395     (let ((zero (generate-error-code vop division-by-zero-error x y)))
 396       (inst beq y zero-tn zero))
 397     (inst nop)
 398     (inst div x y)
 399     (inst mflo temp)
 400     (inst sll q temp 2)
 401     (inst mfhi r)))
 402
 403 (define-vop (fast-truncate/unsigned fast-unsigned-binop)
 404   (:translate truncate)
 405   (:results (q :scs (unsigned-reg))
 406             (r :scs (unsigned-reg)))
 407   (:result-types unsigned-num unsigned-num)
 408   (:vop-var vop)
 409   (:save-p :compute-only)
 410   (:generator 12
 411     (let ((zero (generate-error-code vop division-by-zero-error x y)))
 412       (inst beq y zero-tn zero))
 413     (inst nop)
 414     (inst divu x y)
 415     (inst mflo q)
 416     (inst mfhi r)))
 417
 418 (define-vop (fast-truncate/signed fast-signed-binop)
 419   (:translate truncate)
 420   (:results (q :scs (signed-reg))
 421             (r :scs (signed-reg)))
 422   (:result-types signed-num signed-num)
 423   (:vop-var vop)
 424   (:save-p :compute-only)
 425   (:generator 12
 426     (let ((zero (generate-error-code vop division-by-zero-error x y)))
 427       (inst beq y zero-tn zero))
 428     (inst nop)
 429     (inst div x y)
 430     (inst mflo q)
 431     (inst mfhi r)))
 432
 433
 434 \f
 435 ;;;; Binary conditional VOPs:
 436
 437 (define-vop (fast-conditional)
 438   (:conditional)
 439   (:info target not-p)
 440   (:effects)
 441   (:affected)
 442   (:temporary (:scs (non-descriptor-reg)) temp)
 443   (:policy :fast-safe))
 444
 445 (define-vop (fast-conditional/fixnum fast-conditional)
 446   (:args (x :scs (any-reg))
 447          (y :scs (any-reg)))
 448   (:arg-types tagged-num tagged-num)
 449   (:note "inline fixnum comparison"))
 450
 451 (define-vop (fast-conditional-c/fixnum fast-conditional/fixnum)
 452   (:args (x :scs (any-reg)))
 453   (:arg-types tagged-num (:constant (signed-byte-with-a-bite-out 14 4)))
 454   (:info target not-p y))
 455
 456 (define-vop (fast-conditional/signed fast-conditional)
 457   (:args (x :scs (signed-reg))
 458          (y :scs (signed-reg)))
 459   (:arg-types signed-num signed-num)
 460   (:note "inline (signed-byte 32) comparison"))
 461
 462 (define-vop (fast-conditional-c/signed fast-conditional/signed)
 463   (:args (x :scs (signed-reg)))
 464   (:arg-types signed-num (:constant (signed-byte-with-a-bite-out 16 1)))
 465   (:info target not-p y))
 466
 467 (define-vop (fast-conditional/unsigned fast-conditional)
 468   (:args (x :scs (unsigned-reg))
 469          (y :scs (unsigned-reg)))
 470   (:arg-types unsigned-num unsigned-num)
 471   (:note "inline (unsigned-byte 32) comparison"))
 472
 473 (define-vop (fast-conditional-c/unsigned fast-conditional/unsigned)
 474   (:args (x :scs (unsigned-reg)))
 475   (:arg-types unsigned-num (:constant (and (signed-byte-with-a-bite-out 16 1)
 476                                            unsigned-byte)))
 477   (:info target not-p y))
 478
 479
 480 (defmacro define-conditional-vop (translate &rest generator)
 481   `(progn
 482      ,@(mapcar #'(lambda (suffix cost signed)
 483                    (unless (and (member suffix '(/fixnum -c/fixnum))
 484                                 (eq translate 'eql))
 485                      `(define-vop (,(intern (format nil "~:@(FAST-IF-~A~A~)"
 486                                                     translate suffix))
 487                                    ,(intern
 488                                      (format nil "~:@(FAST-CONDITIONAL~A~)"
 489                                              suffix)))
 490                         (:translate ,translate)
 491                         (:generator ,cost
 492                           (let* ((signed ,signed)
 493                                  (-c/fixnum ,(eq suffix '-c/fixnum))
 494                                  (y (if -c/fixnum (fixnumize y) y)))
 495                             (declare (ignorable signed -c/fixnum y))
 496                             ,@generator)))))
 497                '(/fixnum -c/fixnum /signed -c/signed /unsigned -c/unsigned)
 498                '(3 2 5 4 5 4)
 499                '(t t t t nil nil))))
 500
 501 (define-conditional-vop <
 502   (cond ((and signed (eql y 0))
 503          (if not-p
 504              (inst bgez x target)
 505              (inst bltz x target)))
 506         (t
 507          (if signed
 508              (inst slt temp x y)
 509              (inst sltu temp x y))
 510          (if not-p
 511              (inst beq temp zero-tn target)
 512              (inst bne temp zero-tn target))))
 513   (inst nop))
 514
 515 (define-conditional-vop >
 516   (cond ((and signed (eql y 0))
 517          (if not-p
 518              (inst blez x target)
 519              (inst bgtz x target)))
 520         ((integerp y)
 521          (let ((y (+ y (if -c/fixnum (fixnumize 1) 1))))
 522            (if signed
 523                (inst slt temp x y)
 524                (inst sltu temp x y))
 525            (if not-p
 526                (inst bne temp zero-tn target)
 527                (inst beq temp zero-tn target))))
 528         (t
 529          (if signed
 530              (inst slt temp y x)
 531              (inst sltu temp y x))
 532          (if not-p
 533              (inst beq temp zero-tn target)
 534              (inst bne temp zero-tn target))))
 535   (inst nop))
 536
 537 ;;; EQL/FIXNUM is funny because the first arg can be of any type, not just a
 538 ;;; known fixnum.
 539
 540 (define-conditional-vop eql
 541   (declare (ignore signed))
 542   (when (integerp y)
 543     (inst li temp y)
 544     (setf y temp))
 545   (if not-p
 546       (inst bne x y target)
 547       (inst beq x y target))
 548   (inst nop))
 549
 550 ;;; These versions specify a fixnum restriction on their first arg.  We have
 551 ;;; also generic-eql/fixnum VOPs which are the same, but have no restriction on
 552 ;;; the first arg and a higher cost.  The reason for doing this is to prevent
 553 ;;; fixnum specific operations from being used on word integers, spuriously
 554 ;;; consing the argument.
 555 ;;;
 556 (define-vop (fast-eql/fixnum fast-conditional)
 557   (:args (x :scs (any-reg))
 558          (y :scs (any-reg)))
 559   (:arg-types tagged-num tagged-num)
 560   (:note "inline fixnum comparison")
 561   (:translate eql)
 562   (:ignore temp)
 563   (:generator 3
 564     (if not-p
 565         (inst bne x y target)
 566         (inst beq x y target))
 567     (inst nop)))
 568 ;;;
 569 (define-vop (generic-eql/fixnum fast-eql/fixnum)
 570   (:args (x :scs (any-reg descriptor-reg))
 571          (y :scs (any-reg)))
 572   (:arg-types * tagged-num)
 573   (:variant-cost 7))
 574
 575 (define-vop (fast-eql-c/fixnum fast-conditional/fixnum)
 576   (:args (x :scs (any-reg)))
 577   (:arg-types tagged-num (:constant (signed-byte 14)))
 578   (:info target not-p y)
 579   (:translate eql)
 580   (:generator 2
 581     (let ((y (cond ((eql y 0) zero-tn)
 582                    (t
 583                     (inst li temp (fixnumize y))
 584                     temp))))
 585       (if not-p
 586           (inst bne x y target)
 587           (inst beq x y target))
 588       (inst nop))))
 589 ;;;
 590 (define-vop (generic-eql-c/fixnum fast-eql-c/fixnum)
 591   (:args (x :scs (any-reg descriptor-reg)))
 592   (:arg-types * (:constant (signed-byte 14)))
 593   (:variant-cost 6))
 594
 595 \f
 596 ;;;; 32-bit logical operations
 597
 598 (define-vop (merge-bits)
 599   (:translate merge-bits)
 600   (:args (shift :scs (signed-reg unsigned-reg))
 601          (prev :scs (unsigned-reg))
 602          (next :scs (unsigned-reg)))
 603   (:arg-types tagged-num unsigned-num unsigned-num)
 604   (:temporary (:scs (unsigned-reg) :to (:result 0)) temp)
 605   (:temporary (:scs (unsigned-reg) :to (:result 0) :target result) res)
 606   (:results (result :scs (unsigned-reg)))
 607   (:result-types unsigned-num)
 608   (:policy :fast-safe)
 609   (:generator 4
 610     (let ((done (gen-label)))
 611       (inst beq shift done)
 612       (inst srl res next shift)
 613       (inst subu temp zero-tn shift)
 614       (inst sll temp prev temp)
 615       (inst or res res temp)
 616       (emit-label done)
 617       (move result res))))
 618
 619 (define-source-transform 32bit-logical-not (x)
 620   `(logand (lognot (the (unsigned-byte 32) ,x)) #.(1- (ash 1 32))))
 621
 622 (deftransform 32bit-logical-and ((x y))
 623   '(logand x y))
 624
 625 (define-source-transform 32bit-logical-nand (x y)
 626   `(32bit-logical-not (32bit-logical-and ,x ,y)))
 627
 628 (deftransform 32bit-logical-or ((x y))
 629   '(logior x y))
 630
 631 (define-source-transform 32bit-logical-nor (x y)
 632   `(logand (lognor (the (unsigned-byte 32) ,x) (the (unsigned-byte 32) ,y))
 633            #.(1- (ash 1 32))))
 634
 635 (deftransform 32bit-logical-xor ((x y))
 636   '(logxor x y))
 637
 638 (define-source-transform 32bit-logical-eqv (x y)
 639   `(32bit-logical-not (32bit-logical-xor ,x ,y)))
 640
 641 (define-source-transform 32bit-logical-orc1 (x y)
 642   `(32bit-logical-or (32bit-logical-not ,x) ,y))
 643
 644 (define-source-transform 32bit-logical-orc2 (x y)
 645   `(32bit-logical-or ,x (32bit-logical-not ,y)))
 646
 647 (define-source-transform 32bit-logical-andc1 (x y)
 648   `(32bit-logical-and (32bit-logical-not ,x) ,y))
 649
 650 (define-source-transform 32bit-logical-andc2 (x y)
 651   `(32bit-logical-and ,x (32bit-logical-not ,y)))
 652
 653 (define-vop (shift-towards-someplace)
 654   (:policy :fast-safe)
 655   (:args (num :scs (unsigned-reg))
 656          (amount :scs (signed-reg)))
 657   (:arg-types unsigned-num tagged-num)
 658   (:results (r :scs (unsigned-reg)))
 659   (:result-types unsigned-num))
 660
 661 (define-vop (shift-towards-start shift-towards-someplace)
 662   (:translate shift-towards-start)
 663   (:note "SHIFT-TOWARDS-START")
 664   (:generator 1
 665     (ecase *backend-byte-order*
 666       (:big-endian
 667        (inst sll r num amount))
 668       (:little-endian
 669        (inst srl r num amount)))))
 670
 671 (define-vop (shift-towards-end shift-towards-someplace)
 672   (:translate shift-towards-end)
 673   (:note "SHIFT-TOWARDS-END")
 674   (:generator 1
 675     (ecase *backend-byte-order*
 676       (:big-endian
 677        (inst srl r num amount))
 678       (:little-endian
 679        (inst sll r num amount)))))
 680 \f
 681 ;;;; Modular arithmetic
 682 (define-modular-fun +-mod32 (x y) + 32)
 683 (define-vop (fast-+-mod32/unsigned=>unsigned fast-+/unsigned=>unsigned)
 684   (:translate +-mod32))
 685 (define-vop (fast-+-mod32-c/unsigned=>unsigned fast-+-c/unsigned=>unsigned)
 686   (:translate +-mod32))
 687 (define-modular-fun --mod32 (x y) - 32)
 688 (define-vop (fast---mod32/unsigned=>unsigned fast--/unsigned=>unsigned)
 689   (:translate --mod32))
 690 (define-vop (fast---mod32-c/unsigned=>unsigned fast---c/unsigned=>unsigned)
 691   (:translate --mod32))
 692
 693 (define-vop (fast-ash-left-mod32-c/unsigned=>unsigned
 694              fast-ash-c/unsigned=>unsigned)
 695   (:translate ash-left-mod32))
 696
 697 ;;; logical operations
 698 (define-modular-fun lognot-mod32 (x) lognot 32)
 699 (define-vop (lognot-mod32/unsigned=>unsigned)
 700   (:translate lognot-mod32)
 701   (:args (x :scs (unsigned-reg)))
 702   (:arg-types unsigned-num)
 703   (:results (r :scs (unsigned-reg)))
 704   (:result-types unsigned-num)
 705   (:policy :fast-safe)
 706   (:generator 1
 707     (inst nor r x zero-tn)))
 708
 709 (define-modular-fun logxor-mod32 (x y) logxor 32)
 710 (define-vop (fast-logxor-mod32/unsigned=>unsigned
 711              fast-logxor/unsigned=>unsigned)
 712   (:translate logxor-mod32))
 713 (define-vop (fast-logxor-mod32-c/unsigned=>unsigned
 714              fast-logxor-c/unsigned=>unsigned)
 715   (:translate logxor-mod32))
 716
 717 (define-modular-fun lognor-mod32 (x y) lognor 32)
 718 (define-vop (fast-lognor-mod32/unsigned=>unsigned
 719              fast-lognor/unsigned=>unsigned)
 720   (:translate lognor-mod32))
 721
 722 (define-source-transform logeqv (&rest args)
 723   (if (oddp (length args))
 724       `(logxor ,@args)
 725       `(lognot (logxor ,@args))))
 726 (define-source-transform logandc1 (x y)
 727   `(logand (lognot ,x) ,y))
 728 (define-source-transform logandc2 (x y)
 729   `(logand ,x (lognot ,y)))
 730 (define-source-transform logorc1 (x y)
 731   `(logior (lognot ,x) ,y))
 732 (define-source-transform logorc2 (x y)
 733   `(logior ,x (lognot ,y)))
 734 (define-source-transform lognand (x y)
 735   `(lognot (logand ,x ,y)))
 736 ;;;; Bignum stuff.
 737
 738 (define-vop (bignum-length get-header-data)
 739   (:translate sb!bignum::%bignum-length)
 740   (:policy :fast-safe))
 741
 742 (define-vop (bignum-set-length set-header-data)
 743   (:translate sb!bignum::%bignum-set-length)
 744   (:policy :fast-safe))
 745
 746 (define-full-reffer bignum-ref * bignum-digits-offset other-pointer-lowtag
 747   (unsigned-reg) unsigned-num sb!bignum::%bignum-ref)
 748
 749 (define-full-setter bignum-set * bignum-digits-offset other-pointer-lowtag
 750   (unsigned-reg) unsigned-num sb!bignum::%bignum-set)
 751
 752 (define-vop (digit-0-or-plus)
 753   (:translate sb!bignum::%digit-0-or-plusp)
 754   (:policy :fast-safe)
 755   (:args (digit :scs (unsigned-reg)))
 756   (:arg-types unsigned-num)
 757   (:conditional)
 758   (:info target not-p)
 759   (:generator 2
 760     (if not-p
 761         (inst bltz digit target)
 762         (inst bgez digit target))
 763     (inst nop)))
 764
 765 (define-vop (add-w/carry)
 766   (:translate sb!bignum::%add-with-carry)
 767   (:policy :fast-safe)
 768   (:args (a :scs (unsigned-reg))
 769          (b :scs (unsigned-reg))
 770          (c :scs (any-reg)))
 771   (:arg-types unsigned-num unsigned-num positive-fixnum)
 772   (:temporary (:scs (unsigned-reg) :to (:result 0) :target result) res)
 773   (:results (result :scs (unsigned-reg))
 774             (carry :scs (unsigned-reg) :from :eval))
 775   (:result-types unsigned-num positive-fixnum)
 776   (:temporary (:scs (non-descriptor-reg)) temp)
 777   (:generator 5
 778     (let ((carry-in (gen-label))
 779           (done (gen-label)))
 780       (inst bne c carry-in)
 781       (inst addu res a b)
 782
 783       (inst b done)
 784       (inst sltu carry res b)
 785
 786       (emit-label carry-in)
 787       (inst addu res 1)
 788       (inst nor temp a zero-tn)
 789       (inst sltu carry b temp)
 790       (inst xor carry 1)
 791
 792       (emit-label done)
 793       (move result res))))
 794
 795 (define-vop (sub-w/borrow)
 796   (:translate sb!bignum::%subtract-with-borrow)
 797   (:policy :fast-safe)
 798   (:args (a :scs (unsigned-reg))
 799          (b :scs (unsigned-reg))
 800          (c :scs (any-reg)))
 801   (:arg-types unsigned-num unsigned-num positive-fixnum)
 802   (:temporary (:scs (unsigned-reg) :to (:result 0) :target result) res)
 803   (:results (result :scs (unsigned-reg))
 804             (borrow :scs (unsigned-reg) :from :eval))
 805   (:result-types unsigned-num positive-fixnum)
 806   (:generator 4
 807     (let ((no-borrow-in (gen-label))
 808           (done (gen-label)))
 809
 810       (inst bne c no-borrow-in)
 811       (inst subu res a b)
 812
 813       (inst subu res 1)
 814       (inst b done)
 815       (inst sltu borrow b a)
 816
 817       (emit-label no-borrow-in)
 818       (inst sltu borrow a b)
 819       (inst xor borrow 1)
 820
 821       (emit-label done)
 822       (move result res))))
 823
 824 (define-vop (bignum-mult-and-add-3-arg)
 825   (:translate sb!bignum::%multiply-and-add)
 826   (:policy :fast-safe)
 827   (:args (x :scs (unsigned-reg))
 828          (y :scs (unsigned-reg))
 829          (carry-in :scs (unsigned-reg) :to :save))
 830   (:arg-types unsigned-num unsigned-num unsigned-num)
 831   (:temporary (:scs (unsigned-reg) :from (:argument 1)) temp)
 832   (:results (hi :scs (unsigned-reg))
 833             (lo :scs (unsigned-reg)))
 834   (:result-types unsigned-num unsigned-num)
 835   (:generator 6
 836     (inst multu x y)
 837     (inst mflo temp)
 838     (inst addu lo temp carry-in)
 839     (inst sltu temp lo carry-in)
 840     (inst mfhi hi)
 841     (inst addu hi temp)))
 842
 843 (define-vop (bignum-mult-and-add-4-arg)
 844   (:translate sb!bignum::%multiply-and-add)
 845   (:policy :fast-safe)
 846   (:args (x :scs (unsigned-reg))
 847          (y :scs (unsigned-reg))
 848          (prev :scs (unsigned-reg))
 849          (carry-in :scs (unsigned-reg) :to :save))
 850   (:arg-types unsigned-num unsigned-num unsigned-num unsigned-num)
 851   (:temporary (:scs (unsigned-reg) :from (:argument 2)) temp)
 852   (:results (hi :scs (unsigned-reg))
 853             (lo :scs (unsigned-reg)))
 854   (:result-types unsigned-num unsigned-num)
 855   (:generator 9
 856     (inst multu x y)
 857     (inst addu lo prev carry-in)
 858     (inst sltu temp lo carry-in)
 859     (inst mfhi hi)
 860     (inst addu hi temp)
 861     (inst mflo temp)
 862     (inst addu lo temp)
 863     (inst sltu temp lo temp)
 864     (inst addu hi temp)))
 865
 866 (define-vop (bignum-mult)
 867   (:translate sb!bignum::%multiply)
 868   (:policy :fast-safe)
 869   (:args (x :scs (unsigned-reg))
 870          (y :scs (unsigned-reg)))
 871   (:arg-types unsigned-num unsigned-num)
 872   (:results (hi :scs (unsigned-reg))
 873             (lo :scs (unsigned-reg)))
 874   (:result-types unsigned-num unsigned-num)
 875   (:generator 3
 876     (inst multu x y)
 877     (inst mflo lo)
 878     (inst mfhi hi)))
 879
 880 (define-vop (bignum-lognot lognot-mod32/unsigned=>unsigned)
 881   (:translate sb!bignum::%lognot))
 882
 883 (define-vop (fixnum-to-digit)
 884   (:translate sb!bignum::%fixnum-to-digit)
 885   (:policy :fast-safe)
 886   (:args (fixnum :scs (any-reg)))
 887   (:arg-types tagged-num)
 888   (:results (digit :scs (unsigned-reg)))
 889   (:result-types unsigned-num)
 890   (:generator 1
 891     (inst sra digit fixnum 2)))
 892
 893 (define-vop (bignum-floor)
 894   (:translate sb!bignum::%floor)
 895   (:policy :fast-safe)
 896   (:args (num-high :scs (unsigned-reg) :target rem)
 897          (num-low :scs (unsigned-reg) :target rem-low)
 898          (denom :scs (unsigned-reg) :to (:eval 1)))
 899   (:arg-types unsigned-num unsigned-num unsigned-num)
 900   (:temporary (:scs (unsigned-reg) :from (:argument 1)) rem-low)
 901   (:temporary (:scs (unsigned-reg) :from (:eval 0)) temp)
 902   (:results (quo :scs (unsigned-reg) :from (:eval 0))
 903             (rem :scs (unsigned-reg) :from (:argument 0)))
 904   (:result-types unsigned-num unsigned-num)
 905   (:generator 325 ; number of inst assuming targeting works.
 906     (move rem num-high)
 907     (move rem-low num-low)
 908     (flet ((maybe-subtract (&optional (guess temp))
 909              (inst subu temp guess 1)
 910              (inst and temp denom)
 911              (inst subu rem temp)))
 912       (inst sltu quo rem denom)
 913       (maybe-subtract quo)
 914       (dotimes (i 32)
 915         (inst sll rem 1)
 916         (inst srl temp rem-low 31)
 917         (inst or rem temp)
 918         (inst sll rem-low 1)
 919         (inst sltu temp rem denom)
 920         (inst sll quo 1)
 921         (inst or quo temp)
 922         (maybe-subtract)))
 923     (inst nor quo zero-tn)))
 924
 925 (define-vop (signify-digit)
 926   (:translate sb!bignum::%fixnum-digit-with-correct-sign)
 927   (:policy :fast-safe)
 928   (:args (digit :scs (unsigned-reg) :target res))
 929   (:arg-types unsigned-num)
 930   (:results (res :scs (any-reg signed-reg)))
 931   (:result-types signed-num)
 932   (:generator 1
 933     (sc-case res
 934       (any-reg
 935        (inst sll res digit 2))
 936       (signed-reg
 937        (move res digit)))))
 938
 939
 940 (define-vop (digit-ashr)
 941   (:translate sb!bignum::%ashr)
 942   (:policy :fast-safe)
 943   (:args (digit :scs (unsigned-reg))
 944          (count :scs (unsigned-reg)))
 945   (:arg-types unsigned-num positive-fixnum)
 946   (:results (result :scs (unsigned-reg)))
 947   (:result-types unsigned-num)
 948   (:generator 1
 949     (inst sra result digit count)))
 950
 951 (define-vop (digit-lshr digit-ashr)
 952   (:translate sb!bignum::%digit-logical-shift-right)
 953   (:generator 1
 954     (inst srl result digit count)))
 955
 956 (define-vop (digit-ashl digit-ashr)
 957   (:translate sb!bignum::%ashl)
 958   (:generator 1
 959     (inst sll result digit count)))
 960
 961 \f
 962 ;;;; Static functions.
 963
 964 (define-static-fun two-arg-gcd (x y) :translate gcd)
 965 (define-static-fun two-arg-lcm (x y) :translate lcm)
 966
 967 (define-static-fun two-arg-+ (x y) :translate +)
 968 (define-static-fun two-arg-- (x y) :translate -)
 969 (define-static-fun two-arg-* (x y) :translate *)
 970 (define-static-fun two-arg-/ (x y) :translate /)
 971
 972 (define-static-fun two-arg-< (x y) :translate <)
 973 (define-static-fun two-arg-<= (x y) :translate <=)
 974 (define-static-fun two-arg-> (x y) :translate >)
 975 (define-static-fun two-arg->= (x y) :translate >=)
 976 (define-static-fun two-arg-= (x y) :translate =)
 977 (define-static-fun two-arg-/= (x y) :translate /=)
 978
 979 (define-static-fun %negate (x) :translate %negate)
 980
 981 (define-static-fun two-arg-and (x y) :translate logand)
 982 (define-static-fun two-arg-ior (x y) :translate logior)
 983 (define-static-fun two-arg-xor (x y) :translate logxor)