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;;; -*- Package: SPARC -*-
;;;
;;; **********************************************************************
;;; This code was written as part of the Spice 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 Spice Lisp, please contact
;;; Scott Fahlman (FAHLMAN@CMUC).
;;; **********************************************************************
;;;
;;; $Header: /Volumes/share2/src/cmucl/cvs2git/cvsroot/src/compiler/sparc/arith.lisp,v 1.9 1992/08/02 20:17:04 wlott Exp $
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;;;
;;; This file contains the VM definition arithmetic VOPs for the MIPS.
;;;
;;; Written by Rob MacLachlan
;;;
;;; Converted by William Lott.
;;;
(in-package "SPARC")
;;;; Unary operations.
(define-vop (fast-safe-arith-op)
(:policy :fast-safe)
(:effects)
(:affected))
(define-vop (fixnum-unop fast-safe-arith-op)
(:args (x :scs (any-reg)))
(:results (res :scs (any-reg)))
(:note "inline fixnum arithmetic")
(:arg-types tagged-num)
(:result-types tagged-num))
(define-vop (signed-unop fast-safe-arith-op)
(:args (x :scs (signed-reg)))
(:results (res :scs (signed-reg)))
(:note "inline (signed-byte 32) arithmetic")
(:arg-types signed-num)
(:result-types signed-num))
(define-vop (fast-negate/fixnum fixnum-unop)
(:translate %negate)
(:generator 1
(inst neg res x)))
(define-vop (fast-negate/signed signed-unop)
(:translate %negate)
(:generator 2
(inst neg res x)))
(define-vop (fast-lognot/fixnum fixnum-unop)
(:translate lognot)
(:generator 2
(inst xor res x (fixnum -1))))
(define-vop (fast-lognot/signed signed-unop)
(:translate lognot)
(:generator 1
(inst not res x)))
;;;; Binary fixnum operations.
;;; Assume that any constant operand is the second arg...
(define-vop (fast-fixnum-binop fast-safe-arith-op)
(:args (x :target r :scs (any-reg zero))
(y :target r :scs (any-reg zero)))
(:arg-types tagged-num tagged-num)
(:results (r :scs (any-reg)))
(:result-types tagged-num)
(:note "inline fixnum arithmetic"))
(define-vop (fast-unsigned-binop fast-safe-arith-op)
(:args (x :target r :scs (unsigned-reg zero))
(y :target r :scs (unsigned-reg zero)))
(:arg-types unsigned-num unsigned-num)
(:results (r :scs (unsigned-reg)))
(:result-types unsigned-num)
(:note "inline (unsigned-byte 32) arithmetic"))
(define-vop (fast-signed-binop fast-safe-arith-op)
(:args (x :target r :scs (signed-reg zero))
(y :target r :scs (signed-reg zero)))
(:arg-types signed-num signed-num)
(:results (r :scs (signed-reg)))
(:result-types signed-num)
(:note "inline (signed-byte 32) arithmetic"))
(define-vop (fast-fixnum-binop-c fast-safe-arith-op)
(:args (x :target r :scs (any-reg zero)))
(:info y)
(:arg-types tagged-num
(:constant (and (signed-byte 11) (not (integer 0 0)))))
(:results (r :scs (any-reg)))
(:result-types tagged-num)
(:note "inline fixnum arithmetic"))
(define-vop (fast-unsigned-binop-c fast-safe-arith-op)
(:args (x :target r :scs (unsigned-reg zero)))
(:info y)
(:arg-types unsigned-num
(:constant (and (signed-byte 13) (not (integer 0 0)))))
(:results (r :scs (unsigned-reg)))
(:result-types unsigned-num)
(:note "inline (unsigned-byte 32) arithmetic"))
(define-vop (fast-signed-binop-c fast-safe-arith-op)
(:args (x :target r :scs (signed-reg zero)))
(:info y)
(:arg-types signed-num
(:constant (and (signed-byte 13) (not (integer 0 0)))))
(:results (r :scs (signed-reg)))
(:result-types signed-num)
(:note "inline (signed-byte 32) arithmetic"))
(eval-when (compile load eval)
(defmacro define-binop (translate untagged-penalty op)
`(progn
(define-vop (,(symbolicate "FAST-" translate "/FIXNUM=>FIXNUM")
fast-fixnum-binop)
(:translate ,translate)
(:generator 2
(inst ,op r x y)))
(define-vop (,(symbolicate 'fast- translate '-c/fixnum=>fixnum)
fast-fixnum-binop-c)
(:translate ,translate)
(:generator 1
(inst ,op r x (fixnum y))))
(define-vop (,(symbolicate "FAST-" translate "/SIGNED=>SIGNED")
fast-signed-binop)
(:translate ,translate)
(:generator ,(1+ untagged-penalty)
(inst ,op r x y)))
(define-vop (,(symbolicate 'fast- translate '-c/signed=>signed)
fast-signed-binop-c)
(:translate ,translate)
(:generator ,untagged-penalty
(inst ,op r x y)))
(define-vop (,(symbolicate "FAST-" translate "/UNSIGNED=>UNSIGNED")
fast-unsigned-binop)
(:translate ,translate)
(:generator ,(1+ untagged-penalty)
(inst ,op r x y)))
(define-vop (,(symbolicate 'fast- translate '-c/unsigned=>unsigned)
fast-unsigned-binop-c)
(:translate ,translate)
(:generator ,untagged-penalty
(define-binop + 4 add)
(define-binop - 4 sub)
(define-binop logand 2 and)
(define-binop logandc2 2 andn)
(define-binop logior 2 or)
(define-binop logorc2 2 orn)
(define-binop logxor 2 xor)
(define-binop logeqv 2 xnor)
;;; Special case fixnum + and - that trap on overflow. Useful when we
;;; don't know that the output type is a fixnum.
(define-vop (+/fixnum fast-+/fixnum=>fixnum)
(:policy :safe)
(:result-types tagged-num)
(:note "safe inline fixnum arithmetic")
(:generator 4
(define-vop (+-c/fixnum fast-+-c/fixnum=>fixnum)
(:policy :safe)
(:result-types tagged-num)
(:note "safe inline fixnum arithmetic")
(:generator 3
(inst taddcctv r x (fixnum y))))
(define-vop (-/fixnum fast--/fixnum=>fixnum)
(:policy :safe)
(:result-types tagged-num)
(:note "safe inline fixnum arithmetic")
(:generator 4
(define-vop (--c/fixnum fast---c/fixnum=>fixnum)
(:policy :safe)
(:result-types tagged-num)
(:note "safe inline fixnum arithmetic")
(:generator 3
(inst tsubcctv r x (fixnum y))))
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;;; Shifting
(define-vop (fast-ash)
(:note "inline ASH")
(:args (number :scs (signed-reg unsigned-reg) :to :save)
(amount :scs (signed-reg immediate)))
(:arg-types (:or signed-num unsigned-num) signed-num)
(:results (result :scs (signed-reg unsigned-reg)))
(:result-types (:or signed-num unsigned-num))
(:translate ash)
(:policy :fast-safe)
(:temporary (:sc non-descriptor-reg) ndesc)
(:generator 3
(sc-case amount
(signed-reg
(let ((positive (gen-label))
(done (gen-label)))
(inst cmp amount)
(inst b :ge positive)
(inst neg ndesc amount)
(inst cmp ndesc 31)
(inst b :le done)
(sc-case number
(signed-reg (inst sra result number ndesc))
(unsigned-reg (inst srl result number ndesc)))
(inst b done)
(sc-case number
(signed-reg (inst sra result number 31))
(unsigned-reg (inst srl result number 31)))
(emit-label positive)
;; The result-type assures us that this shift will not overflow.
(inst sll result number amount)
(emit-label done)))
(immediate
(let ((amount (tn-value amount)))
(if (minusp amount)
(let ((amount (min 31 (- amount))))
(sc-case number
(unsigned-reg
(inst srl result number amount))
(signed-reg
(inst sra result number amount))))
(inst sll result number amount)))))))
(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
(let ((loop (gen-label))
(test (gen-label)))
(inst addcc shift zero-tn arg)
(inst b :ge test)
(move res zero-tn)
(inst b test)
(inst not shift)
(emit-label loop)
(inst add res (fixnum 1))
(emit-label test)
(inst cmp shift)
(inst b :ne loop)
(inst srl shift 1))))
(define-vop (unsigned-byte-32-count)
(:translate logcount)
(:note "inline (unsigned-byte 32) logcount")
(:policy :fast-safe)
(:args (arg :scs (unsigned-reg) :target shift))
(:arg-types unsigned-num)
(:results (res :scs (any-reg)))
(:result-types positive-fixnum)
(:temporary (:scs (non-descriptor-reg) :from (:argument 0)) shift temp)
(:generator 30
(let ((loop (gen-label))
(done (gen-label)))
(inst addcc shift zero-tn arg)
(inst b :eq done)
(move res zero-tn)
(emit-label loop)
(inst sub temp shift 1)
(inst andcc shift temp)
(inst b :ne loop)
(inst add res (fixnum 1))
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(emit-label done))))
;;;; Binary conditional VOPs:
(define-vop (fast-conditional)
(:conditional)
(:info target not-p)
(:effects)
(:affected)
(:policy :fast-safe))
(deftype integer-with-a-bite-out (s bite)
(cond ((eq s '*) 'integer)
((and (integerp s) (> s 1))
(let ((bound (ash 1 (1- s))))
`(integer ,(- bound) ,(- bound bite 1))))
(t
(error "Bad size specified for SIGNED-BYTE type specifier: ~S." s))))
(define-vop (fast-conditional/fixnum fast-conditional)
(:args (x :scs (any-reg zero))
(y :scs (any-reg zero)))
(:arg-types tagged-num tagged-num)
(:note "inline fixnum comparison"))
(define-vop (fast-conditional-c/fixnum fast-conditional/fixnum)
(:args (x :scs (any-reg zero)))
(:arg-types tagged-num (:constant (signed-byte 11)))
(:info target not-p y))
(define-vop (fast-conditional/signed fast-conditional)
(:args (x :scs (signed-reg zero))
(y :scs (signed-reg zero)))
(: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 zero)))
(:arg-types signed-num (:constant (signed-byte 13)))
(:info target not-p y))
(define-vop (fast-conditional/unsigned fast-conditional)
(:args (x :scs (unsigned-reg zero))
(y :scs (unsigned-reg zero)))
(: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 zero)))
(:arg-types unsigned-num (:constant (unsigned-byte 12)))
(:info target not-p y))
(defmacro define-conditional-vop (tran cond unsigned not-cond not-unsigned)
`(progn
,@(mapcar #'(lambda (suffix cost signed)
(unless (and (member suffix '(/fixnum -c/fixnum))
(eq tran 'eql))
`(define-vop (,(intern (format nil "~:@(FAST-IF-~A~A~)"
tran suffix))
,(intern
(format nil "~:@(FAST-CONDITIONAL~A~)"
suffix)))
(:translate ,tran)
(:generator ,cost
(inst cmp x
,(if (eq suffix '-c/fixnum) '(fixnum y) 'y))
(inst b (if not-p
,(if signed not-cond not-unsigned)
,(if signed cond unsigned))
target)
(inst nop)))))
'(/fixnum -c/fixnum /signed -c/signed /unsigned -c/unsigned)
'(4 3 6 5 6 5)
'(t t t t nil nil))))
(define-conditional-vop < :lt :ltu :ge :geu)
(define-conditional-vop > :gt :gtu :le :leu)
(define-conditional-vop eql :eq :eq :ne :ne)
;;; EQL/FIXNUM is funny because the first arg can be of any type, not just a
;;; known fixnum.
;;; 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 zero))
(y :scs (any-reg zero)))
(:arg-types tagged-num tagged-num)
(:generator 4
(inst cmp x y)
(inst b (if not-p :ne :eq) target)
(inst nop)))
;;;
(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 zero)))
(:arg-types tagged-num (:constant (signed-byte 11)))
(:info target not-p y)
(:translate eql)
(:generator 2
(inst cmp x (fixnum y))
(inst b (if not-p :ne :eq) target)
(inst nop)))
;;;
(define-vop (generic-eql-c/fixnum fast-eql-c/fixnum)
(:arg-types * (:constant (signed-byte 11)))
(:variant-cost 6))
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;;;; 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 cmp shift)
(inst b :eq done)
(inst srl res next shift)
(inst sub temp zero-tn shift)
(inst sll temp prev temp)
(inst or res temp)
(emit-label done)
(move result res))))
(define-vop (32bit-logical)
(:args (x :scs (unsigned-reg zero))
(y :scs (unsigned-reg zero)))
(: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 zero)))
(:arg-types unsigned-num)
(:generator 1
(inst not r x)))
(define-vop (32bit-logical-and 32bit-logical)
(:translate 32bit-logical-and)
(:generator 1
(inst and r x y)))
(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 r x y)))
(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 r x y)))
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(define-vop (32bit-logical-eqv 32bit-logical)
(:translate 32bit-logical-eqv)
(:generator 1
(inst xnor r x y)))
(define-vop (32bit-logical-orc2 32bit-logical)
(:translate 32bit-logical-orc2)
(:generator 1
(inst orn r x y)))
(deftransform 32bit-logical-orc1 ((x y) (* *))
'(32bit-logical-orc2 y x))
(define-vop (32bit-logical-andc2 32bit-logical)
(:translate 32bit-logical-andc2)
(:generator 1
(inst andn r x y)))
(deftransform 32bit-logical-andc1 ((x y) (* *))
'(32bit-logical-andc2 y x))
(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")
(:generator 1
(inst sll r num amount)))
(define-vop (shift-towards-end shift-towards-someplace)
(:translate shift-towards-end)
(:note "shift-towards-end")
(:generator 1
(inst srl r num amount)))
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;;;; 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-vop (bignum-ref word-index-ref)
(:variant vm:bignum-digits-offset vm:other-pointer-type)
(:translate bignum::%bignum-ref)
(:results (value :scs (unsigned-reg)))
(:result-types unsigned-num))
(define-vop (bignum-set word-index-set)
(:variant vm:bignum-digits-offset vm:other-pointer-type)
(:translate bignum::%bignum-set)
(:args (object :scs (descriptor-reg))
(index :scs (any-reg immediate zero))
(value :scs (unsigned-reg)))
(:arg-types t positive-fixnum unsigned-num)
(:results (result :scs (unsigned-reg)))
(:result-types unsigned-num))
(define-vop (digit-0-or-plus)
(:translate bignum::%digit-0-or-plusp)
(:policy :fast-safe)
(:args (digit :scs (unsigned-reg)))
(:arg-types unsigned-num)
(:results (result :scs (descriptor-reg)))
(:generator 3
(let ((done (gen-label)))
(inst cmp digit)
(inst b :lt done)
(move result null-tn)
(load-symbol result t)
(emit-label done))))
(define-vop (add-w/carry)
(:translate bignum::%add-with-carry)
(:policy :fast-safe)
(:args (a :scs (unsigned-reg))
(b :scs (unsigned-reg))
(c :scs (any-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 addcc zero-tn c -1)
(inst addxcc result a b)
(inst addx carry zero-tn zero-tn)))
(define-vop (sub-w/borrow)
(:translate bignum::%subtract-with-borrow)
(:policy :fast-safe)
(:args (a :scs (unsigned-reg))
(b :scs (unsigned-reg))
(c :scs (any-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 subcc zero-tn c 1)
(inst subxcc result a b)
(inst addx borrow zero-tn zero-tn)
(inst xor borrow 1)))
;;; EMIT-MULTIPLY -- This is used both for bignum stuff and in assembly
;;; routines.
;;;
(defun emit-multiply (multiplier multiplicand result-high result-low)
"Emit code to multiply MULTIPLIER with MULTIPLICAND, putting the result
in RESULT-HIGH and RESULT-LOW. KIND is either :signed or :unsigned.
Note: the lifetimes of MULTIPLICAND and RESULT-HIGH overlap."
(declare (type tn multiplier result-high result-low)
(type (or tn (signed-byte 13)) multiplicand))
(let ((label (gen-label)))
(inst wry multiplier)
(inst andcc result-high zero-tn)
;; Note: we can't use the Y register until three insts after it's written.
(inst nop)
(inst nop)
(dotimes (i 32)
(inst mulscc result-high multiplicand))
(inst mulscc result-high zero-tn)
(inst cmp multiplicand)
(inst b :ge label)
(inst nop)
(inst add result-high multiplier)
(emit-label label)
(inst rdy result-low)))
(define-vop (bignum-mult-and-add-3-arg)
(:translate bignum::%multiply-and-add)
(:policy :fast-safe)
(:args (x :scs (unsigned-reg) :to (:eval 1))
(y :scs (unsigned-reg) :to (:eval 1))
(carry-in :scs (unsigned-reg) :to (:eval 2)))
(:arg-types unsigned-num unsigned-num unsigned-num)
(:results (hi :scs (unsigned-reg) :from (:eval 0))
(lo :scs (unsigned-reg) :from (:eval 1)))
(:result-types unsigned-num unsigned-num)
(:generator 40
(emit-multiply x y hi lo)
(inst addcc lo carry-in)
(inst addx hi zero-tn)))
(define-vop (bignum-mult-and-add-4-arg)
(:translate bignum::%multiply-and-add)
(:policy :fast-safe)
(:args (x :scs (unsigned-reg) :to (:eval 1))
(y :scs (unsigned-reg) :to (:eval 1))
(prev :scs (unsigned-reg) :to (:eval 2))
(carry-in :scs (unsigned-reg) :to (:eval 2)))
(:arg-types unsigned-num unsigned-num unsigned-num unsigned-num)
(:results (hi :scs (unsigned-reg) :from (:eval 0))
(lo :scs (unsigned-reg) :from (:eval 1)))
(:result-types unsigned-num unsigned-num)
(:generator 40
(emit-multiply x y hi lo)
(inst addcc lo carry-in)
(inst addx hi zero-tn)
(inst addcc lo prev)
(inst addx hi zero-tn)))
(define-vop (bignum-mult)
(:translate bignum::%multiply)
(:policy :fast-safe)
(:args (x :scs (unsigned-reg) :to (:result 1))
(y :scs (unsigned-reg) :to (:result 1)))
(:arg-types unsigned-num unsigned-num)
(:results (hi :scs (unsigned-reg))
(lo :scs (unsigned-reg)))
(:result-types unsigned-num unsigned-num)
(:generator 40
(emit-multiply x y hi lo)))
(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 not r x)))
(define-vop (fixnum-to-digit)
(:translate 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 digit fixnum 2)))
(define-vop (bignum-floor)
(:translate bignum::%floor)
(:policy :fast-safe)
(:args (div-high :scs (unsigned-reg) :target rem)
(div-low :scs (unsigned-reg) :target quo)
(divisor :scs (unsigned-reg)))
(:arg-types unsigned-num unsigned-num unsigned-num)
(:results (quo :scs (unsigned-reg) :from (:argument 1))
(rem :scs (unsigned-reg) :from (:argument 0)))
(:result-types unsigned-num unsigned-num)
(:generator 300
(move rem div-high)
(move quo div-low)
(dotimes (i 33)
(let ((label (gen-label)))
(inst cmp rem divisor)
(inst b :ltu label)
(inst addxcc quo quo)
(inst sub rem divisor)
(emit-label label)
(unless (= i 32)
(inst addx rem rem))))
(inst not quo)))
(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 (any-reg signed-reg)))
(:result-types signed-num)
(:generator 1
(sc-case res
(any-reg
(inst sll res digit 2))
(signed-reg
(move res digit)))))
(define-vop (digit-ashr)
(:translate 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)))
(:result-types unsigned-num)
(:generator 1
(inst sra result digit count)))
(define-vop (digit-lshr digit-ashr)
(:translate bignum::%digit-logical-shift-right)
(:generator 1
(inst srl result digit count)))
(define-vop (digit-ashl digit-ashr)
(:translate bignum::%ashl)
(:generator 1
(inst sll result digit count)))
;;;; 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 two-arg-* (x y) :translate *)
(define-static-function two-arg-/ (x y) :translate /)
(define-static-function two-arg-< (x y) :translate <)
(define-static-function two-arg-<= (x y) :translate <=)
(define-static-function two-arg-> (x y) :translate >)
(define-static-function two-arg->= (x y) :translate >=)
(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)