arith.lisp

开源跨平台Lisp编译器


;;;; binary conditional VOPs

(define-vop (fast-conditional)
  (:conditional)
  (:info target not-p)
  (:effects)
  (:affected)
  (:temporary (:scs (non-descriptor-reg)) temp)
  (: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 (unsigned-byte-with-a-bite-out 6 4)))
  (: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 64) comparison"))

(define-vop (fast-conditional-c/signed fast-conditional/signed)
  (:args (x :scs (signed-reg)))
  (:arg-types signed-num (:constant (unsigned-byte-with-a-bite-out 8 1)))
  (: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 64) comparison"))

(define-vop (fast-conditional-c/unsigned fast-conditional/unsigned)
  (:args (x :scs (unsigned-reg)))
  (:arg-types unsigned-num (:constant (unsigned-byte-with-a-bite-out 8 1)))
  (:info target not-p y))


(defmacro define-conditional-vop (translate &rest generator)
  `(progn
     ,@(mapcar (lambda (suffix cost signed)
                 (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
                                  (let* ((signed ,signed)
                                         (-c/fixnum ,(eq suffix '-c/fixnum))
                                         (y (if -c/fixnum (fixnumize y) y)))
                                    ,@generator)))))
               '(/fixnum -c/fixnum /signed -c/signed /unsigned -c/unsigned)
               '(3 2 5 4 5 4)
               '(t t t t nil nil))))

(define-conditional-vop <
  (cond ((and signed (eql y 0))
         (if not-p
             (inst bge x target)
             (inst blt x target)))
        (t
         (if signed
             (inst cmplt x y temp)
             (inst cmpult x y temp))
         (if not-p
             (inst beq temp target)
             (inst bne temp target)))))

(define-conditional-vop >
  (cond ((and signed (eql y 0))
         (if not-p
             (inst ble x target)
             (inst bgt x target)))
        ((integerp y)
         (let ((y (+ y (if -c/fixnum (fixnumize 1) 1))))
           (if signed
               (inst cmplt x y temp)
               (inst cmpult x y temp))
           (if not-p
               (inst bne temp target)
               (inst beq temp target))))
        (t
         (if signed
             (inst cmplt y x temp)
             (inst cmpult y x temp))
         (if not-p
             (inst beq temp target)
             (inst bne temp target)))))

;;; EQL/FIXNUM is funny because the first arg can be of any type, not
;;; just a known fixnum.

(define-conditional-vop eql
  (declare (ignore signed))
  (when (integerp y)
    (inst li y temp)
    (setf y temp))
  (inst cmpeq x y temp)
  (if not-p
      (inst beq temp target)
      (inst bne temp target)))

;;; 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))
         (y :scs (any-reg)))
  (:arg-types tagged-num tagged-num)
  (:note "inline fixnum comparison")
  (:translate eql)
  (:generator 3
    (cond ((equal y zero-tn)
           (if not-p
               (inst bne x target)
               (inst beq x target)))
          (t
           (inst cmpeq x y temp)
           (if not-p
               (inst beq temp target)
               (inst bne temp target))))))

;;;
(define-vop (generic-eql/fixnum fast-eql/fixnum)
  (:args (x :scs (any-reg descriptor-reg))
         (y :scs (any-reg)))
  (:arg-types * tagged-num)
  (:variant-cost 7))

(define-vop (fast-eql-c/fixnum fast-conditional/fixnum)
  (:args (x :scs (any-reg)))
  (:arg-types tagged-num (:constant (signed-byte 6)))
  (:temporary (:scs (non-descriptor-reg)) temp)
  (:info target not-p y)
  (:translate eql)
  (:generator 2
    (let ((y (cond ((eql y 0) zero-tn)
                   (t
                    (inst li (fixnumize y) temp)
                    temp))))
      (inst cmpeq x y temp)
      (if not-p
          (inst beq temp target)
          (inst bne temp target)))))
;;;
(define-vop (generic-eql-c/fixnum fast-eql-c/fixnum)
  (:args (x :scs (any-reg descriptor-reg)))
  (:arg-types * (:constant (signed-byte 6)))
  (:variant-cost 6))


;;;; 32-bit logical operations

(define-vop (merge-bits)
  (:translate merge-bits)
  (:args (shift :scs (signed-reg unsigned-reg))
         (prev :scs (unsigned-reg))
         (next :scs (unsigned-reg)))
  (:arg-types tagged-num unsigned-num unsigned-num)
  (:temporary (:scs (unsigned-reg) :to (:result 0)) temp)
  (:temporary (:scs (unsigned-reg) :to (:result 0) :target result) res)
  (:results (result :scs (unsigned-reg)))
  (:result-types unsigned-num)
  (:policy :fast-safe)
  (:generator 4
    (let ((done (gen-label)))
      (inst srl next shift res)
      (inst beq shift done)
      (inst subq zero-tn shift temp)
      (inst sll prev temp temp)
      (inst bis res temp res)
      (emit-label done)
      (move res result))))

(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)
  (:note "SHIFT-TOWARDS-START")
  (:temporary (:sc non-descriptor-reg) temp)
  (:generator 1
    (inst and amount #x1f temp)
    (inst srl num temp r)))

(define-vop (shift-towards-end shift-towards-someplace)
  (:translate shift-towards-end)
  (:note "SHIFT-TOWARDS-END")
  (:temporary (:sc non-descriptor-reg) temp)
  (:generator 1
    (inst and amount #x1f temp)
    (inst sll num temp r)))

;;;; bignum stuff

(define-vop (bignum-length get-header-data)
  (:translate sb!bignum:%bignum-length)
  (:policy :fast-safe))

(define-vop (bignum-set-length set-header-data)
  (:translate sb!bignum:%bignum-set-length)
  (:policy :fast-safe))

(define-full-reffer bignum-ref * bignum-digits-offset other-pointer-lowtag
  (unsigned-reg) unsigned-num sb!bignum:%bignum-ref)

(define-full-setter bignum-set * bignum-digits-offset other-pointer-lowtag
  (unsigned-reg) unsigned-num sb!bignum:%bignum-set #!+gengc nil)

(define-vop (digit-0-or-plus)
  (:translate sb!bignum:%digit-0-or-plusp)
  (:policy :fast-safe)
  (:args (digit :scs (unsigned-reg)))
  (:arg-types unsigned-num)
  (:temporary (:sc non-descriptor-reg) temp)
  (:conditional)
  (:info target not-p)
  (:generator 2
    (inst sll digit 32 temp)
    (if not-p
        (inst blt temp target)
        (inst bge temp target))))

(define-vop (add-w/carry)
  (:translate sb!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) :from :load)
            (carry :scs (unsigned-reg) :from :eval))
  (:result-types unsigned-num positive-fixnum)
  (:generator 5
    (inst addq a b result)
    (inst addq result c result)
    (inst sra result 32 carry)
    (inst mskll result 4 result)))

(define-vop (sub-w/borrow)
  (:translate sb!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) :from :load)
            (borrow :scs (unsigned-reg) :from :eval))
  (:result-types unsigned-num positive-fixnum)
  (:generator 4
    (inst xor c 1 result)
    (inst subq a result result)
    (inst subq result b result)
    (inst srl result 63 borrow)
    (inst xor borrow 1 borrow)
    (inst mskll result 4 result)))

(define-vop (bignum-mult-and-add-3-arg)
  (:translate sb!bignum:%multiply-and-add)
  (:policy :fast-safe)
  (:args (x :scs (unsigned-reg))
         (y :scs (unsigned-reg))
         (carry-in :scs (unsigned-reg) :to :save))
  (:arg-types unsigned-num unsigned-num unsigned-num)
  (:results (hi :scs (unsigned-reg))
            (lo :scs (unsigned-reg)))
  (:result-types unsigned-num unsigned-num)
  (:generator 6
    (inst mulq x y lo)
    (inst addq lo carry-in lo)
    (inst srl lo 32 hi)
    (inst mskll lo 4 lo)))


(define-vop (bignum-mult-and-add-4-arg)
  (:translate sb!bignum:%multiply-and-add)
  (:policy :fast-safe)
  (:args (x :scs (unsigned-reg))
         (y :scs (unsigned-reg))
         (prev :scs (unsigned-reg))
         (carry-in :scs (unsigned-reg) :to :save))
  (:arg-types unsigned-num unsigned-num unsigned-num unsigned-num)
  (:results (hi :scs (unsigned-reg))
            (lo :scs (unsigned-reg)))
  (:result-types unsigned-num unsigned-num)
  (:generator 9
    (inst mulq x y lo)
    (inst addq lo prev lo)
    (inst addq lo carry-in lo)
    (inst srl lo 32 hi)
    (inst mskll lo 4 lo)))

(define-vop (bignum-mult)
  (:translate sb!bignum:%multiply)
  (:policy :fast-safe)
  (:args (x :scs (unsigned-reg))
         (y :scs (unsigned-reg)))
  (:arg-types unsigned-num unsigned-num)
  (:results (hi :scs (unsigned-reg))
            (lo :scs (unsigned-reg)))
  (:result-types unsigned-num unsigned-num)
  (:generator 3
    (inst mulq x y lo)
    (inst srl lo 32 hi)
    (inst mskll lo 4 lo)))

(define-vop (bignum-lognot)
  (:translate sb!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 not x r)
    (inst mskll r 4 r)))

(define-vop (fixnum-to-digit)
  (:translate sb!bignum:%fixnum-to-digit)
  (:policy :fast-safe)
  (:args (fixnum :scs (any-reg)))
  (:arg-types tagged-num)
  (:results (digit :scs (unsigned-reg)))
  (:result-types unsigned-num)
  (:generator 1
    (inst sra fixnum n-fixnum-tag-bits digit)))

(define-vop (bignum-floor)
  (:translate sb!bignum:%floor)
  (:policy :fast-safe)
  (:args (num-high :scs (unsigned-reg))
         (num-low :scs (unsigned-reg))
         (denom-arg :scs (unsigned-reg) :target denom))
  (:arg-types unsigned-num unsigned-num unsigned-num)
  (:temporary (:scs (unsigned-reg) :from (:argument 2)) denom)
  (:temporary (:scs (unsigned-reg) :from (:eval 0)) temp)
  (:results (quo :scs (unsigned-reg) :from (:eval 0))
            (rem :scs (unsigned-reg) :from (:argument 0)))
  (:result-types unsigned-num unsigned-num)
  (:generator 325 ; number of inst assuming targeting works.
    (inst sll num-high 32 rem)
    (inst bis rem num-low rem)
    (inst sll denom-arg 32 denom)
    (inst cmpule denom rem quo)
    (inst beq quo shift1)
    (inst subq rem denom rem)
    SHIFT1
    (dotimes (i 32)
      (let ((shift2 (gen-label)))
        (inst srl denom 1 denom)
        (inst cmpule denom rem temp)
        (inst sll quo 1 quo)
        (inst beq temp shift2)
        (inst subq rem denom rem)
        (inst bis quo 1 quo)
        (emit-label shift2)))))

(define-vop (signify-digit)
  (:translate sb!bignum:%fixnum-digit-with-correct-sign)
  (:policy :fast-safe)
  (:args (digit :scs (unsigned-reg) :target res))
  (:arg-types unsigned-num)
  (:results (res :scs (any-reg signed-reg)))
  (:result-types signed-num)
  (:generator 2
    (sc-case res
      (any-reg
       (inst sll digit 34 res)
       (inst sra res 32 res))
      (signed-reg
       (inst sll digit 32 res)
       (inst sra res 32 res)))))


(define-vop (digit-ashr)
  (:translate sb!bignum:%ashr)
  (:policy :fast-safe)
  (:args (digit :scs (unsigned-reg))
         (count :scs (unsigned-reg)))
  (:arg-types unsigned-num positive-fixnum)
  (:results (result :scs (unsigned-reg) :from (:argument 0)))
  (:result-types unsigned-num)
  (:generator 1
    (inst sll digit 32 result)
    (inst sra result count result)
    (inst srl result 32 result)))

(define-vop (digit-lshr digit-ashr)
  (:translate sb!bignum:%digit-logical-shift-right)
  (:generator 1
    (inst srl digit count result)))

(define-vop (digit-ashl digit-ashr)
  (:translate sb!bignum:%ashl)
  (:generator 1
    (inst sll digit count result)))

;;;; static functions

(define-static-fun two-arg-gcd (x y) :translate gcd)
(define-static-fun two-arg-lcm (x y) :translate lcm)

(define-static-fun two-arg-+ (x y) :translate +)
(define-static-fun two-arg-- (x y) :translate -)
(define-static-fun two-arg-* (x y) :translate *)
(define-static-fun two-arg-/ (x y) :translate /)

(define-static-fun two-arg-< (x y) :translate <)
(define-static-fun two-arg-<= (x y) :translate <=)
(define-static-fun two-arg-> (x y) :translate >)
(define-static-fun two-arg->= (x y) :translate >=)
(define-static-fun two-arg-= (x y) :translate =)
(define-static-fun two-arg-/= (x y) :translate /=)

(define-static-fun %negate (x) :translate %negate)

(define-static-fun two-arg-and (x y) :translate logand)
(define-static-fun two-arg-ior (x y) :translate logior)
(define-static-fun two-arg-xor (x y) :translate logxor)
(define-static-fun two-arg-eqv (x y) :translate logeqv)