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;;;; the VM definition of arithmetic VOPs for the x86-64
;;;; This software is part of the SBCL system. See the README file for
;;;; more information.
;;;;
;;;; This software is derived from the CMU CL system, which was
;;;; written at Carnegie Mellon University and released into the
;;;; public domain. The software is in the public domain and is
;;;; provided with absolutely no warranty. See the COPYING and CREDITS
;;;; files for more information.
(in-package "SB!VM")
;; If chopping X to 32 bits and sign-extending is equal to the original X,
;; return the chopped X, which the CPU will always treat as signed.
;; Notably this allows MOST-POSITIVE-WORD to be an immediate constant.
(defun immediate32-p (x)
(typecase x
((signed-byte 32) x)
((unsigned-byte 64)
(let ((chopped (sb!c::mask-signed-field 32 x)))
(and (= x (ldb (byte 64 0) chopped))
chopped)))
(t nil)))
;; If 'immediate32-p' is true, use it; otherwise use a RIP-relative constant.
;; I couldn't think of a more accurate name for this other than maybe
;; 'signed-immediate32-or-rip-relativize' which is just too awful.
(defun constantize (x)
(or (immediate32-p x)
(register-inline-constant :qword x)))
;;;; 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) :target res))
(: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) :target res))
(:results (res :scs (signed-reg)))
(:note "inline (signed-byte 64) arithmetic")
(:arg-types signed-num)
(:result-types signed-num))
(define-vop (fast-negate/fixnum fixnum-unop)
(:translate %negate)
(:generator 1
(move res x)
(inst neg res)))
(define-vop (fast-negate/signed signed-unop)
(:translate %negate)
(:generator 2
(move res x)
(inst neg res)))
(define-vop (fast-lognot/fixnum fixnum-unop)
(:translate lognot)
(:generator 1
(move res x)
(inst xor res (fixnumize -1))))
(define-vop (fast-lognot/signed signed-unop)
(:translate lognot)
(:generator 2
(move res x)
(inst not res)))
;;;; 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)
:load-if (not (and (sc-is x control-stack)
(sc-is y any-reg)
(sc-is r control-stack)
(location= x r))))
(y :scs (any-reg control-stack)))
(:arg-types tagged-num tagged-num)
(:results (r :scs (any-reg) :from (:argument 0)
:load-if (not (and (sc-is x control-stack)
(sc-is y any-reg)
(sc-is r control-stack)
(location= x r)))))
(:result-types tagged-num)
(:note "inline fixnum arithmetic"))
(define-vop (fast-unsigned-binop fast-safe-arith-op)
(:args (x :target r :scs (unsigned-reg)
:load-if (not (and (sc-is x unsigned-stack)
(sc-is y unsigned-reg)
(sc-is r unsigned-stack)
(location= x r))))
(y :scs (unsigned-reg unsigned-stack)))
(:arg-types unsigned-num unsigned-num)
(:results (r :scs (unsigned-reg) :from (:argument 0)
:load-if (not (and (sc-is x unsigned-stack)
(sc-is y unsigned-reg)
(sc-is r unsigned-stack)
(location= x r)))))
(:result-types unsigned-num)
(:note "inline (unsigned-byte 64) arithmetic"))
(define-vop (fast-signed-binop fast-safe-arith-op)
(:args (x :target r :scs (signed-reg)
:load-if (not (and (sc-is x signed-stack)
(sc-is y signed-reg)
(sc-is r signed-stack)
(location= x r))))
(y :scs (signed-reg signed-stack)))
(:arg-types signed-num signed-num)
(:results (r :scs (signed-reg) :from (:argument 0)
:load-if (not (and (sc-is x signed-stack)
(sc-is y signed-reg)
(sc-is r signed-stack)
(location= x r)))))
(:result-types signed-num)
(:note "inline (signed-byte 64) arithmetic"))
(define-vop (fast-fixnum-binop-c fast-safe-arith-op)
(:args (x :target r :scs (any-reg) :load-if t))
(:info y)
(:arg-types tagged-num (:constant fixnum))
(:results (r :scs (any-reg) :load-if t))
(: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) :load-if t))
(:info y)
(:arg-types unsigned-num (:constant (unsigned-byte 64)))
(:results (r :scs (unsigned-reg) :load-if t))
(:result-types unsigned-num)
(:note "inline (unsigned-byte 64) arithmetic"))
(define-vop (fast-signed-binop-c fast-safe-arith-op)
(:args (x :target r :scs (signed-reg) :load-if t))
(:info y)
(:arg-types signed-num (:constant (signed-byte 64)))
(:results (r :scs (signed-reg) :load-if t))
(:result-types signed-num)
(:note "inline (signed-byte 64) arithmetic"))
(macrolet ((define-binop (translate untagged-penalty op
&key fixnum=>fixnum c/fixnum=>fixnum
signed=>signed c/signed=>signed
unsigned=>unsigned c/unsigned=>unsigned)
`(progn
(define-vop (,(symbolicate "FAST-" translate "/FIXNUM=>FIXNUM")
fast-fixnum-binop)
(:translate ,translate)
(:generator 2
,@(or fixnum=>fixnum `((move r x) (inst ,op r y)))))
(define-vop (,(symbolicate 'fast- translate '-c/fixnum=>fixnum)
fast-fixnum-binop-c)
(:translate ,translate)
(:generator 1
,@(or c/fixnum=>fixnum
`((move r x)
(inst ,op r (constantize (fixnumize y)))))))
(define-vop (,(symbolicate "FAST-" translate "/SIGNED=>SIGNED")
fast-signed-binop)
(:translate ,translate)
(:generator ,(1+ untagged-penalty)
,@(or signed=>signed `((move r x) (inst ,op r y)))))
(define-vop (,(symbolicate 'fast- translate '-c/signed=>signed)
fast-signed-binop-c)
(:translate ,translate)
(:generator ,untagged-penalty
,@(or c/signed=>signed
`((move r x) (inst ,op r (constantize y))))))
(define-vop (,(symbolicate "FAST-"
translate
"/UNSIGNED=>UNSIGNED")
fast-unsigned-binop)
(:translate ,translate)
(:generator ,(1+ untagged-penalty)
,@(or unsigned=>unsigned `((move r x) (inst ,op r y)))))
(define-vop (,(symbolicate 'fast-
translate
'-c/unsigned=>unsigned)
fast-unsigned-binop-c)
(:translate ,translate)
(:generator ,untagged-penalty
,@(or c/unsigned=>unsigned
`((move r x) (inst ,op r (constantize y)))))))))
;;(define-binop + 4 add)
(define-binop - 4 sub)
;; The following have microoptimizations for some special cases
;; not caught by the front end.
(define-binop logand 2 and
:c/unsigned=>unsigned
((move r x)
(let ((y (constantize y)))
;; ANDing with #xFFFF_FFFF_FFFF_FFFF is a no-op, other than
;; the eflags state which we don't care about.
(unless (eql y -1) ; do nothing if this is true
(inst and r y)))))
(define-binop logior 2 or
:c/unsigned=>unsigned
((let ((y (constantize y)))
(cond ((and (register-p r) (eql y -1)) ; special-case "OR reg, all-ones"
;; I have yet to elicit this case. Can it happen?
(inst mov r -1))
(t
(move r x)
(inst or r y))))))
(define-binop logxor 2 xor
:c/unsigned=>unsigned
((move r x)
(let ((y (constantize y)))
(if (eql y -1) ; special-case "XOR reg, [all-ones]"
(inst not r)
(inst xor r y))))))
;;; Special handling of add on the x86; can use lea to avoid a
;;; register load, otherwise it uses add.
;;; FIXME: either inherit from fast-foo-binop or explain why not.
(define-vop (fast-+/fixnum=>fixnum fast-safe-arith-op)
(:translate +)
(:args (x :scs (any-reg) :target r
:load-if (not (and (sc-is x control-stack)
(sc-is y any-reg)
(sc-is r control-stack)
(location= x r))))
(y :scs (any-reg control-stack)))
(:arg-types tagged-num tagged-num)
(:results (r :scs (any-reg) :from (:argument 0)
:load-if (not (and (sc-is x control-stack)
(sc-is y any-reg)
(sc-is r control-stack)
(location= x r)))))
(:result-types tagged-num)
(:note "inline fixnum arithmetic")
(:generator 2
(cond ((and (sc-is x any-reg) (sc-is y any-reg) (sc-is r any-reg)
(not (location= x r)))
(inst lea r (make-ea :qword :base x :index y :scale 1)))
(t
(move r x)
(inst add r y)))))
(define-vop (fast-+-c/fixnum=>fixnum fast-safe-arith-op)
(:translate +)
(:args (x :target r :scs (any-reg) :load-if t))
(:info y)
(:arg-types tagged-num (:constant fixnum))
(:results (r :scs (any-reg) :load-if t))
(:result-types tagged-num)
(:note "inline fixnum arithmetic")
(:generator 1
(let ((y (fixnumize y)))
(cond ((and (not (location= x r))
(typep y '(signed-byte 32)))
(inst lea r (make-ea :qword :base x :disp y)))
(t
(move r x)
(inst add r (constantize y)))))))
(define-vop (fast-+/signed=>signed fast-safe-arith-op)
(:translate +)
(:args (x :scs (signed-reg) :target r
:load-if (not (and (sc-is x signed-stack)
(sc-is y signed-reg)
(sc-is r signed-stack)
(location= x r))))
(y :scs (signed-reg signed-stack)))
(:arg-types signed-num signed-num)
(:results (r :scs (signed-reg) :from (:argument 0)
:load-if (not (and (sc-is x signed-stack)
(sc-is y signed-reg)
(location= x r)))))
(:result-types signed-num)
(:note "inline (signed-byte 64) arithmetic")
(:generator 5
(cond ((and (sc-is x signed-reg) (sc-is y signed-reg) (sc-is r signed-reg)
(not (location= x r)))
(inst lea r (make-ea :qword :base x :index y :scale 1)))
(t
(move r x)
(inst add r y)))))
;;;; Special logand cases: (logand signed unsigned) => unsigned
(define-vop (fast-logand/signed-unsigned=>unsigned
fast-logand/unsigned=>unsigned)
(:args (x :target r :scs (signed-reg)
:load-if (not (and (sc-is x signed-stack)
(sc-is y unsigned-reg)
(sc-is r unsigned-stack)
(location= x r))))
(y :scs (unsigned-reg unsigned-stack)))
(:arg-types signed-num unsigned-num))
;; This special case benefits from the special case for c/unsigned=>unsigned.
;; In particular, converting a (signed-byte 64) to (unsigned-byte 64) by
;; way of (LDB (byte 64 0)) doesn't need an AND instruction.
(define-vop (fast-logand-c/signed-unsigned=>unsigned
fast-logand-c/unsigned=>unsigned)
(:args (x :target r :scs (signed-reg)))
(:arg-types signed-num (:constant (unsigned-byte 64))))
(define-vop (fast-logand/unsigned-signed=>unsigned
fast-logand/unsigned=>unsigned)
(:args (x :target r :scs (unsigned-reg)
:load-if (not (and (sc-is x unsigned-stack)
(sc-is y signed-reg)
(sc-is r unsigned-stack)
(location= x r))))
(y :scs (signed-reg signed-stack)))
(:arg-types unsigned-num signed-num))
(define-vop (fast-+-c/signed=>signed fast-safe-arith-op)
(:translate +)
(:args (x :target r :scs (signed-reg)
:load-if (or (not (typep y '(signed-byte 32)))
(not (sc-is r signed-reg signed-stack)))))
(:info y)
(:arg-types signed-num (:constant (signed-byte 64)))
(:results (r :scs (signed-reg)
:load-if (or (not (location= x r))
(not (typep y '(signed-byte 32))))))
(:result-types signed-num)
(:note "inline (signed-byte 64) arithmetic")
(:generator 4
(cond ((and (sc-is x signed-reg) (sc-is r signed-reg)
(not (location= x r))
(typep y '(signed-byte 32)))
(inst lea r (make-ea :qword :base x :disp y)))
(t
(move r x)
(cond ((= y 1)
(inst inc r))
(t
(inst add r (constantize y))))))))
(define-vop (fast-+/unsigned=>unsigned fast-safe-arith-op)
(:translate +)
(:args (x :scs (unsigned-reg) :target r
:load-if (not (and (sc-is x unsigned-stack)
(sc-is y unsigned-reg)
(sc-is r unsigned-stack)
(location= x r))))
(y :scs (unsigned-reg unsigned-stack)))
(:arg-types unsigned-num unsigned-num)
(:results (r :scs (unsigned-reg) :from (:argument 0)
:load-if (not (and (sc-is x unsigned-stack)
(sc-is y unsigned-reg)
(sc-is r unsigned-stack)
(location= x r)))))
(:result-types unsigned-num)
(:note "inline (unsigned-byte 64) arithmetic")
(:generator 5
(cond ((and (sc-is x unsigned-reg) (sc-is y unsigned-reg)
(sc-is r unsigned-reg) (not (location= x r)))
(inst lea r (make-ea :qword :base x :index y :scale 1)))
(t
(move r x)
(inst add r y)))))
(define-vop (fast-+-c/unsigned=>unsigned fast-safe-arith-op)
(:translate +)
(:args (x :target r :scs (unsigned-reg)
:load-if (or (not (typep y '(unsigned-byte 31)))
(not (sc-is x unsigned-reg unsigned-stack)))))
(:info y)
(:arg-types unsigned-num (:constant (unsigned-byte 64)))
(:results (r :scs (unsigned-reg)
:load-if (or (not (location= x r))
(not (typep y '(unsigned-byte 31))))))
(:result-types unsigned-num)
(:note "inline (unsigned-byte 64) arithmetic")
(:generator 4
(cond ((and (sc-is x unsigned-reg) (sc-is r unsigned-reg)
(not (location= x r))
(typep y '(unsigned-byte 31)))
(inst lea r (make-ea :qword :base x :disp y)))
(t
(move r x)
(cond ((= y 1)
(inst inc r))
(t
(inst add r (constantize y))))))))
;;;; multiplication and division
(define-vop (fast-*/fixnum=>fixnum fast-safe-arith-op)
(:translate *)
;; We need different loading characteristics.
(:args (x :scs (any-reg) :target r)
(y :scs (any-reg control-stack)))
(:arg-types tagged-num tagged-num)
(:results (r :scs (any-reg) :from (:argument 0)))
(:result-types tagged-num)
(:note "inline fixnum arithmetic")
(:generator 4
(move r x)
(inst sar r n-fixnum-tag-bits)
(inst imul r y)))
(define-vop (fast-*-c/fixnum=>fixnum fast-safe-arith-op)
(:translate *)
;; We need different loading characteristics.
(:args (x :scs (any-reg)
:load-if (or (not (typep y '(signed-byte 32)))
(not (sc-is x any-reg control-stack)))))
(:info y)
(:arg-types tagged-num (:constant fixnum))
(:results (r :scs (any-reg)))
(:result-types tagged-num)
(:note "inline fixnum arithmetic")
(:generator 3
(cond ((typep y '(signed-byte 32))
(inst imul r x y))
(t
(move r x)
(inst imul r (register-inline-constant :qword y))))))
(define-vop (fast-*/signed=>signed fast-safe-arith-op)
(:translate *)
;; We need different loading characteristics.
(:args (x :scs (signed-reg) :target r)
(y :scs (signed-reg signed-stack)))
(:arg-types signed-num signed-num)
(:results (r :scs (signed-reg) :from (:argument 0)))
(:result-types signed-num)
(:note "inline (signed-byte 64) arithmetic")
(:generator 5
(move r x)
(inst imul r y)))
(define-vop (fast-*-c/signed=>signed fast-safe-arith-op)
(:translate *)
;; We need different loading characteristics.
(:args (x :scs (signed-reg)
:load-if (or (not (typep y '(signed-byte 32)))
(not (sc-is x signed-reg signed-stack)))))
(:info y)
(:arg-types signed-num (:constant (signed-byte 64)))
(:results (r :scs (signed-reg)))
(:result-types signed-num)
(:note "inline (signed-byte 64) arithmetic")
(:generator 4
(cond ((typep y '(signed-byte 32))
(inst imul r x y))
(t
(move r x)
(inst imul r (register-inline-constant :qword y))))))
(define-vop (fast-*/unsigned=>unsigned fast-safe-arith-op)
(:translate *)
(:args (x :scs (unsigned-reg) :target eax)
(y :scs (unsigned-reg unsigned-stack)))
(:arg-types unsigned-num unsigned-num)
(:temporary (:sc unsigned-reg :offset eax-offset :target r
:from (:argument 0) :to :result) eax)
(:temporary (:sc unsigned-reg :offset edx-offset
:from :eval :to :result) edx)
(:ignore edx)
(:results (r :scs (unsigned-reg)))
(:result-types unsigned-num)
(:note "inline (unsigned-byte 64) arithmetic")
(:vop-var vop)
(:save-p :compute-only)
(:generator 6
(move eax x)
(inst mul eax y)
(move r eax)))
(define-vop (fast-*-c/unsigned=>unsigned fast-safe-arith-op)
(:translate *)
(:args (x :scs (unsigned-reg) :target eax))
(:info y)
(:arg-types unsigned-num (:constant (unsigned-byte 64)))
(:temporary (:sc unsigned-reg :offset eax-offset :target r
:from (:argument 0) :to :result) eax)
(:temporary (:sc unsigned-reg :offset edx-offset
:from :eval :to :result) edx)
(:ignore edx)
(:results (r :scs (unsigned-reg)))
(:result-types unsigned-num)
(:note "inline (unsigned-byte 64) arithmetic")
(:vop-var vop)
(:save-p :compute-only)
(:generator 6
(move eax x)
(inst mul eax (register-inline-constant :qword y))
(move r eax)))
(define-vop (fast-truncate/fixnum=>fixnum fast-safe-arith-op)
(:translate truncate)
(:args (x :scs (any-reg) :target eax)
(y :scs (any-reg control-stack)))
(:arg-types tagged-num tagged-num)
(:temporary (:sc signed-reg :offset eax-offset :target quo
:from (:argument 0) :to (:result 0)) eax)
(:temporary (:sc unsigned-reg :offset edx-offset :target rem
:from (:argument 0) :to (:result 1)) edx)
(:results (quo :scs (any-reg))
(rem :scs (any-reg)))
(:result-types tagged-num tagged-num)
(:note "inline fixnum arithmetic")
(:vop-var vop)
(:save-p :compute-only)
(:generator 31
(let ((zero (generate-error-code vop 'division-by-zero-error x y)))
(if (sc-is y any-reg)
(inst test y y) ; smaller instruction
(inst cmp y 0))
(inst jmp :eq zero))
(move eax x)
(inst cqo)
(inst idiv eax y)
(if (location= quo eax)
(inst shl eax n-fixnum-tag-bits)
(if (= n-fixnum-tag-bits 1)
(inst lea quo (make-ea :qword :base eax :index eax))
(inst lea quo (make-ea :qword :index eax
:scale (ash 1 n-fixnum-tag-bits)))))
(move rem edx)))
(define-vop (fast-truncate-c/fixnum=>fixnum fast-safe-arith-op)
(:translate truncate)
(:args (x :scs (any-reg) :target eax))
(:info y)
(:arg-types tagged-num (:constant fixnum))
(:temporary (:sc signed-reg :offset eax-offset :target quo
:from :argument :to (:result 0)) eax)
(:temporary (:sc any-reg :offset edx-offset :target rem
:from :eval :to (:result 1)) edx)
(:temporary (:sc any-reg :from :eval :to :result) y-arg)
(:results (quo :scs (any-reg))
(rem :scs (any-reg)))
(:result-types tagged-num tagged-num)
(:note "inline fixnum arithmetic")
(:vop-var vop)
(:save-p :compute-only)
(:generator 30
(move eax x)
(inst cqo)
(inst mov y-arg (fixnumize y))
(inst idiv eax y-arg)
(if (location= quo eax)
(inst shl eax n-fixnum-tag-bits)
(if (= n-fixnum-tag-bits 1)
(inst lea quo (make-ea :qword :base eax :index eax))
(inst lea quo (make-ea :qword :index eax
:scale (ash 1 n-fixnum-tag-bits)))))
(move rem edx)))
(define-vop (fast-truncate/unsigned=>unsigned fast-safe-arith-op)
(:translate truncate)
(:args (x :scs (unsigned-reg) :target eax)
(y :scs (unsigned-reg signed-stack)))
(:arg-types unsigned-num unsigned-num)
(:temporary (:sc unsigned-reg :offset eax-offset :target quo
:from (:argument 0) :to (:result 0)) eax)
(:temporary (:sc unsigned-reg :offset edx-offset :target rem
:from (:argument 0) :to (:result 1)) edx)
(:results (quo :scs (unsigned-reg))
(rem :scs (unsigned-reg)))
(:result-types unsigned-num unsigned-num)
(:note "inline (unsigned-byte 64) arithmetic")
(:vop-var vop)
(:save-p :compute-only)
(:generator 33
(let ((zero (generate-error-code vop 'division-by-zero-error x y)))
(if (sc-is y unsigned-reg)
(inst test y y) ; smaller instruction
(inst cmp y 0))
(inst jmp :eq zero))
(move eax x)
(inst xor edx edx)
(inst div eax y)
(move quo eax)
(move rem edx)))
(define-vop (fast-truncate-c/unsigned=>unsigned fast-safe-arith-op)
(:translate truncate)
(:args (x :scs (unsigned-reg) :target eax))
(:info y)
(:arg-types unsigned-num (:constant (unsigned-byte 64)))
(:temporary (:sc unsigned-reg :offset eax-offset :target quo
:from :argument :to (:result 0)) eax)
(:temporary (:sc unsigned-reg :offset edx-offset :target rem
:from :eval :to (:result 1)) edx)
(:temporary (:sc unsigned-reg :from :eval :to :result) y-arg)
(:results (quo :scs (unsigned-reg))
(rem :scs (unsigned-reg)))
(:result-types unsigned-num unsigned-num)
(:note "inline (unsigned-byte 64) arithmetic")
(:vop-var vop)
(:save-p :compute-only)
(:generator 32
(move eax x)
(inst xor edx edx)
(inst mov y-arg y)
(inst div eax y-arg)
(move quo eax)
(move rem edx)))
(define-vop (fast-truncate/signed=>signed fast-safe-arith-op)
(:translate truncate)
(:args (x :scs (signed-reg) :target eax)
(y :scs (signed-reg signed-stack)))
(:arg-types signed-num signed-num)
(:temporary (:sc signed-reg :offset eax-offset :target quo
:from (:argument 0) :to (:result 0)) eax)
(:temporary (:sc signed-reg :offset edx-offset :target rem
:from (:argument 0) :to (:result 1)) edx)
(:results (quo :scs (signed-reg))
(rem :scs (signed-reg)))
(:result-types signed-num signed-num)
(:note "inline (signed-byte 64) arithmetic")
(:vop-var vop)
(:save-p :compute-only)
(:generator 33
(let ((zero (generate-error-code vop 'division-by-zero-error x y)))
(if (sc-is y signed-reg)
(inst test y y) ; smaller instruction
(inst cmp y 0))
(inst jmp :eq zero))
(move eax x)
(inst cqo)
(inst idiv eax y)
(move quo eax)
(move rem edx)))
(define-vop (fast-truncate-c/signed=>signed fast-safe-arith-op)
(:translate truncate)
(:args (x :scs (signed-reg) :target eax))
(:info y)
(:arg-types signed-num (:constant (signed-byte 64)))
(:temporary (:sc signed-reg :offset eax-offset :target quo
:from :argument :to (:result 0)) eax)
(:temporary (:sc signed-reg :offset edx-offset :target rem
:from :eval :to (:result 1)) edx)
(:temporary (:sc signed-reg :from :eval :to :result) y-arg)
(:results (quo :scs (signed-reg))
(rem :scs (signed-reg)))
(:result-types signed-num signed-num)
(:note "inline (signed-byte 64) arithmetic")
(:vop-var vop)
(:save-p :compute-only)
(:generator 32
(move eax x)
(inst cqo)
(inst mov y-arg y)
(inst idiv eax y-arg)
(move quo eax)
(move rem edx)))
;;;; Shifting
(define-vop (fast-ash-c/fixnum=>fixnum)
(:translate ash)
(:policy :fast-safe)
(:args (number :scs (any-reg) :target result
:load-if (not (and (sc-is number any-reg control-stack)
(sc-is result any-reg control-stack)
(location= number result)))))
(:info amount)
(:arg-types tagged-num (:constant integer))
(:results (result :scs (any-reg)
:load-if (not (and (sc-is number control-stack)
(sc-is result control-stack)
(location= number result)))))
(:result-types tagged-num)
(:note "inline ASH")
(:variant nil)
(:variant-vars modularp)
(:generator 2
(cond ((and (= amount 1) (not (location= number result)))
(inst lea result (make-ea :qword :base number :index number)))
((and (= amount 2) (not (location= number result)))
(inst lea result (make-ea :qword :index number :scale 4)))
((and (= amount 3) (not (location= number result)))
(inst lea result (make-ea :qword :index number :scale 8)))
(t
(move result number)
(cond ((< -64 amount 64)
;; this code is used both in ASH and ASH-MODFX, so
;; be careful
(if (plusp amount)
(inst shl result amount)
(progn
(inst sar result (- amount))
(inst and result (lognot fixnum-tag-mask)))))
;; shifting left (zero fill)
((plusp amount)
(unless modularp
(aver (not "Impossible: fixnum ASH should not be called with
constant shift greater than word length")))
(if (sc-is result any-reg)
(zeroize result)
(inst mov result 0)))
;; shifting right (sign fill)
(t (inst sar result 63)
(inst and result (lognot fixnum-tag-mask))))))))
(define-vop (fast-ash-left/fixnum=>fixnum)
(:translate ash)
(:args (number :scs (any-reg) :target result
:load-if (not (and (sc-is number control-stack)
(sc-is result control-stack)
(location= number result))))
(amount :scs (unsigned-reg) :target ecx))
(:arg-types tagged-num positive-fixnum)
(:temporary (:sc unsigned-reg :offset ecx-offset :from (:argument 1)) ecx)
(:results (result :scs (any-reg) :from (:argument 0)
:load-if (not (and (sc-is number control-stack)
(sc-is result control-stack)
(location= number result)))))
(:result-types tagged-num)
(:policy :fast-safe)
(:note "inline ASH")
(:generator 3
(move result number)
(move ecx amount)
;; The result-type ensures us that this shift will not overflow.
(inst shl result :cl)))
(define-vop (fast-ash-c/signed=>signed)
(:translate ash)
(:policy :fast-safe)
(:args (number :scs (signed-reg) :target result
:load-if (not (and (sc-is number signed-stack)
(sc-is result signed-stack)
(location= number result)))))
(:info amount)
(:arg-types signed-num (:constant integer))
(:results (result :scs (signed-reg)
:load-if (not (and (sc-is number signed-stack)
(sc-is result signed-stack)
(location= number result)))))
(:result-types signed-num)
(:note "inline ASH")
(:generator 3
(cond ((and (= amount 1) (not (location= number result)))
(inst lea result (make-ea :qword :base number :index number)))
((and (= amount 2) (not (location= number result)))
(inst lea result (make-ea :qword :index number :scale 4)))
((and (= amount 3) (not (location= number result)))
(inst lea result (make-ea :qword :index number :scale 8)))
(t
(move result number)
(cond ((plusp amount) (inst shl result amount))
(t (inst sar result (min 63 (- amount)))))))))
(define-vop (fast-ash-c/unsigned=>unsigned)
(:translate ash)
(:policy :fast-safe)
(:args (number :scs (unsigned-reg) :target result
:load-if (not (and (sc-is number unsigned-stack)
(sc-is result unsigned-stack)
(location= number result)))))
(:info amount)
(:arg-types unsigned-num (:constant integer))
(:results (result :scs (unsigned-reg)
:load-if (not (and (sc-is number unsigned-stack)
(sc-is result unsigned-stack)
(location= number result)))))
(:result-types unsigned-num)
(:note "inline ASH")
(:generator 3
(cond ((and (= amount 1) (not (location= number result)))
(inst lea result (make-ea :qword :base number :index number)))
((and (= amount 2) (not (location= number result)))
(inst lea result (make-ea :qword :index number :scale 4)))
((and (= amount 3) (not (location= number result)))
(inst lea result (make-ea :qword :index number :scale 8)))
(t
(move result number)
(cond ((< -64 amount 64) ;; XXXX
;; this code is used both in ASH and ASH-MOD32, so
;; be careful
(if (plusp amount)
(inst shl result amount)
(inst shr result (- amount))))
(t (if (sc-is result unsigned-reg)
(zeroize result)
(inst mov result 0))))))))
(define-vop (fast-ash-left/signed=>signed)
(:translate ash)
(:args (number :scs (signed-reg) :target result
:load-if (not (and (sc-is number signed-stack)
(sc-is result signed-stack)
(location= number result))))
(amount :scs (unsigned-reg) :target ecx))
(:arg-types signed-num positive-fixnum)
(:temporary (:sc unsigned-reg :offset ecx-offset :from (:argument 1)) ecx)
(:results (result :scs (signed-reg) :from (:argument 0)
:load-if (not (and (sc-is number signed-stack)
(sc-is result signed-stack)
(location= number result)))))
(:result-types signed-num)
(:policy :fast-safe)
(:note "inline ASH")
(:generator 4
(move result number)
(move ecx amount)
(inst shl result :cl)))
(define-vop (fast-ash-left/unsigned=>unsigned)
(:translate ash)
(:args (number :scs (unsigned-reg) :target result
:load-if (not (and (sc-is number unsigned-stack)
(sc-is result unsigned-stack)
(location= number result))))
(amount :scs (unsigned-reg) :target ecx))
(:arg-types unsigned-num positive-fixnum)
(:temporary (:sc unsigned-reg :offset ecx-offset :from (:argument 1)) ecx)
(:results (result :scs (unsigned-reg) :from (:argument 0)
:load-if (not (and (sc-is number unsigned-stack)
(sc-is result unsigned-stack)
(location= number result)))))
(:result-types unsigned-num)
(:policy :fast-safe)
(:note "inline ASH")
(:generator 4
(move result number)
(move ecx amount)
(inst shl result :cl)))
(define-vop (fast-ash/signed=>signed)
(:translate ash)
(:policy :fast-safe)
(:args (number :scs (signed-reg) :target result)
(amount :scs (signed-reg) :target ecx))
(:arg-types signed-num signed-num)
(:results (result :scs (signed-reg) :from (:argument 0)))
(:result-types signed-num)
(:temporary (:sc signed-reg :offset ecx-offset :from (:argument 1)) ecx)
(:note "inline ASH")
(:generator 5
(move result number)
(move ecx amount)
(inst test ecx ecx)
(inst jmp :ns POSITIVE)
(inst neg ecx)
(inst cmp ecx 63)
(inst jmp :be OKAY)
(inst mov ecx 63)
OKAY
(inst sar result :cl)
(inst jmp DONE)
POSITIVE
;; The result-type ensures us that this shift will not overflow.
(inst shl result :cl)
DONE))
(define-vop (fast-ash/unsigned=>unsigned)
(:translate ash)
(:policy :fast-safe)
(:args (number :scs (unsigned-reg) :target result)
(amount :scs (signed-reg) :target ecx))
(:arg-types unsigned-num signed-num)
(:results (result :scs (unsigned-reg) :from (:argument 0)))
(:result-types unsigned-num)
(:temporary (:sc signed-reg :offset ecx-offset :from (:argument 1)) ecx)
(:note "inline ASH")
(:generator 5
(move result number)
(move ecx amount)
(inst test ecx ecx)
(inst jmp :ns POSITIVE)
(inst neg ecx)
(inst cmp ecx 63)
(inst jmp :be OKAY)
(zeroize result)
(inst jmp DONE)
OKAY
(inst shr result :cl)
(inst jmp DONE)
POSITIVE
;; The result-type ensures us that this shift will not overflow.
(inst shl result :cl)
DONE))
#!+ash-right-vops
(define-vop (fast-%ash/right/unsigned)
(:translate %ash/right)
(:policy :fast-safe)
(:args (number :scs (unsigned-reg) :target result)
(amount :scs (unsigned-reg) :target rcx))
(:arg-types unsigned-num unsigned-num)
(:results (result :scs (unsigned-reg) :from (:argument 0)))
(:result-types unsigned-num)
(:temporary (:sc signed-reg :offset rcx-offset :from (:argument 1)) rcx)
(:generator 4
(move result number)
(move rcx amount)
(inst shr result :cl)))
#!+ash-right-vops
(define-vop (fast-%ash/right/signed)
(:translate %ash/right)
(:policy :fast-safe)
(:args (number :scs (signed-reg) :target result)
(amount :scs (unsigned-reg) :target rcx))
(:arg-types signed-num unsigned-num)
(:results (result :scs (signed-reg) :from (:argument 0)))
(:result-types signed-num)
(:temporary (:sc signed-reg :offset rcx-offset :from (:argument 1)) rcx)
(:generator 4
(move result number)
(move rcx amount)
(inst sar result :cl)))
#!+ash-right-vops
(define-vop (fast-%ash/right/fixnum)
(:translate %ash/right)
(:policy :fast-safe)
(:args (number :scs (any-reg) :target result)
(amount :scs (unsigned-reg) :target rcx))
(:arg-types tagged-num unsigned-num)
(:results (result :scs (any-reg) :from (:argument 0)))
(:result-types tagged-num)
(:temporary (:sc signed-reg :offset rcx-offset :from (:argument 1)) rcx)
(:generator 3
(move result number)
(move rcx amount)
(inst sar result :cl)
(inst and result (lognot fixnum-tag-mask))))
(in-package "SB!C")
(defknown %lea (integer integer (member 1 2 4 8 16) (signed-byte 64))
integer
(foldable flushable movable))
(defoptimizer (%lea derive-type) ((base index scale disp))
(when (and (constant-lvar-p scale)
(constant-lvar-p disp))
(let ((scale (lvar-value scale))
(disp (lvar-value disp))
(base-type (lvar-type base))
(index-type (lvar-type index)))
(when (and (numeric-type-p base-type)
(numeric-type-p index-type))
(let ((base-lo (numeric-type-low base-type))
(base-hi (numeric-type-high base-type))
(index-lo (numeric-type-low index-type))
(index-hi (numeric-type-high index-type)))
(make-numeric-type :class 'integer
:complexp :real
:low (when (and base-lo index-lo)
(+ base-lo (* index-lo scale) disp))
:high (when (and base-hi index-hi)
(+ base-hi (* index-hi scale) disp))))))))
(defun %lea (base index scale disp)
(+ base (* index scale) disp))
(in-package "SB!VM")
(define-vop (%lea/unsigned=>unsigned)
(:translate %lea)
(:policy :fast-safe)
(:args (base :scs (unsigned-reg))
(index :scs (unsigned-reg)))
(:info scale disp)
(:arg-types unsigned-num unsigned-num
(:constant (member 1 2 4 8))
(:constant (signed-byte 64)))
(:results (r :scs (unsigned-reg)))
(:result-types unsigned-num)
(:generator 5
(inst lea r (make-ea :qword :base base :index index
:scale scale :disp disp))))
(define-vop (%lea/signed=>signed)
(:translate %lea)
(:policy :fast-safe)
(:args (base :scs (signed-reg))
(index :scs (signed-reg)))
(:info scale disp)
(:arg-types signed-num signed-num
(:constant (member 1 2 4 8))
(:constant (signed-byte 64)))
(:results (r :scs (signed-reg)))
(:result-types signed-num)
(:generator 4
(inst lea r (make-ea :qword :base base :index index
:scale scale :disp disp))))
(define-vop (%lea/fixnum=>fixnum)
(:translate %lea)
(:policy :fast-safe)
(:args (base :scs (any-reg))
(index :scs (any-reg)))
(:info scale disp)
(:arg-types tagged-num tagged-num
(:constant (member 1 2 4 8))
(:constant (signed-byte 64)))
(:results (r :scs (any-reg)))
(:result-types tagged-num)
(:generator 3
(inst lea r (make-ea :qword :base base :index index
:scale scale :disp disp))))
;;; FIXME: before making knowledge of this too public, it needs to be
;;; fixed so that it's actually _faster_ than the non-CMOV version; at
;;; least on my Celeron-XXX laptop, this version is marginally slower
;;; than the above version with branches. -- CSR, 2003-09-04
(define-vop (fast-cmov-ash/unsigned=>unsigned)
(:translate ash)
(:policy :fast-safe)
(:args (number :scs (unsigned-reg) :target result)
(amount :scs (signed-reg) :target ecx))
(:arg-types unsigned-num signed-num)
(:results (result :scs (unsigned-reg) :from (:argument 0)))
(:result-types unsigned-num)
(:temporary (:sc signed-reg :offset ecx-offset :from (:argument 1)) ecx)
(:temporary (:sc any-reg :from (:eval 0) :to (:eval 1)) zero)
(:note "inline ASH")
(:guard (member :cmov *backend-subfeatures*))
(:generator 4
(move result number)
(move ecx amount)
(inst test ecx ecx)
(inst jmp :ns POSITIVE)
(inst neg ecx)
(zeroize zero)
(inst shr result :cl)
(inst cmp ecx 63)
(inst cmov :nbe result zero)
(inst jmp DONE)
POSITIVE
;; The result-type ensures us that this shift will not overflow.
(inst shl result :cl)
DONE))
(define-vop (signed-byte-64-len)
(:translate integer-length)
(:note "inline (signed-byte 64) integer-length")
(:policy :fast-safe)
(:args (arg :scs (signed-reg) :target res))
(:arg-types signed-num)
(:results (res :scs (unsigned-reg)))
(:result-types unsigned-num)
(:generator 28
(move res arg)
(inst test res res)
(inst jmp :ge POS)
(inst not res)
POS
(inst bsr res res)
(inst jmp :z ZERO)
(inst inc res)
(inst jmp DONE)
ZERO
(zeroize res)
DONE))
(define-vop (unsigned-byte-64-len)
(:translate integer-length)
(:note "inline (unsigned-byte 64) integer-length")
(:policy :fast-safe)
(:args (arg :scs (unsigned-reg)))
(:arg-types unsigned-num)
(:results (res :scs (unsigned-reg)))
(:result-types unsigned-num)
(:generator 26
(inst bsr res arg)
(inst jmp :z ZERO)
(inst inc res)
(inst jmp DONE)
ZERO
(zeroize res)
DONE))
;; INTEGER-LENGTH is implemented by using the BSR instruction, which
;; returns the position of the first 1-bit from the right. And that needs
;; to be incremented to get the width of the integer, and BSR doesn't
;; work on 0, so it needs a branch to handle 0.
;; But fixnums are tagged by being shifted left n-fixnum-tag-bits times,
;; untagging by shifting right n-fixnum-tag-bits-1 times (and if
;; n-fixnum-tag-bits = 1, no shifting is required), will make the
;; resulting integer one bit wider, making the increment unnecessary.
;; Then, to avoid calling BSR on 0, OR the result with 1. That sets the
;; first bit to 1, and if all other bits are 0, BSR will return 0,
;; which is the correct value for INTEGER-LENGTH.
(define-vop (positive-fixnum-len)
(:translate integer-length)
(:note "inline positive fixnum integer-length")
(:policy :fast-safe)
(:args (arg :scs (any-reg)))
(:arg-types positive-fixnum)
(:results (res :scs (unsigned-reg)))
(:result-types unsigned-num)
(:generator 24
(move res arg)
(when (> n-fixnum-tag-bits 1)
(inst shr res (1- n-fixnum-tag-bits)))
(inst or res 1)
(inst bsr res res)))
(define-vop (fixnum-len)
(:translate integer-length)
(:note "inline fixnum integer-length")
(:policy :fast-safe)
(:args (arg :scs (any-reg) :target res))
(:arg-types tagged-num)
(:results (res :scs (unsigned-reg)))
(:result-types unsigned-num)
(:generator 25
(move res arg)
(when (> n-fixnum-tag-bits 1)
(inst sar res (1- n-fixnum-tag-bits)))
(inst test res res)
(inst jmp :ge POS)
(inst not res)
POS
(inst or res 1)
(inst bsr res res)))
(define-vop (unsigned-byte-64-count)
(:translate logcount)
(:note "inline (unsigned-byte 64) logcount")
(:policy :fast-safe)
(:args (arg :scs (unsigned-reg) :target result))
(:arg-types unsigned-num)
(:results (result :scs (unsigned-reg)))
(:result-types positive-fixnum)
(:temporary (:sc unsigned-reg) temp)
(:temporary (:sc unsigned-reg) mask)
(:generator 14
;; See the comments below for how the algorithm works. The tricks
;; used can be found for example in AMD's software optimization
;; guide or at "http://www.hackersdelight.org/HDcode/pop.cc" in the
;; function "pop1", for 32-bit words. The extension to 64 bits is
;; straightforward.
;; Calculate 2-bit sums. Note that the value of a two-digit binary
;; number is the sum of the right digit and twice the left digit.
;; Thus we can calculate the sum of the two digits by shifting the
;; left digit to the right position and doing a two-bit subtraction.
;; This subtraction will never create a borrow and thus can be made
;; on all 32 2-digit numbers at once.
(move result arg)
(move temp arg)
(inst shr result 1)
(inst mov mask #x5555555555555555)
(inst and result mask)
(inst sub temp result)
;; Calculate 4-bit sums by straightforward shift, mask and add.
;; Note that we shift the source operand of the MOV and not its
;; destination so that the SHR and the MOV can execute in the same
;; clock cycle.
(inst mov result temp)
(inst shr temp 2)
(inst mov mask #x3333333333333333)
(inst and result mask)
(inst and temp mask)
(inst add result temp)
;; Calculate 8-bit sums. Since each sum is at most 8, which fits
;; into 4 bits, we can apply the mask after the addition, saving one
;; instruction.
(inst mov temp result)
(inst shr result 4)
(inst add result temp)
(inst mov mask #x0f0f0f0f0f0f0f0f)
(inst and result mask)
;; Add all 8 bytes at once by multiplying with #256r11111111.
;; We need to calculate only the lower 8 bytes of the product.
;; Of these the most significant byte contains the final result.
;; Note that there can be no overflow from one byte to the next
;; as the sum is at most 64 which needs only 7 bits.
(inst mov mask #x0101010101010101)
(inst imul result mask)
(inst shr result 56)))
;;;; binary conditional VOPs
(define-vop (fast-conditional)
(:conditional :e)
(:info)
(:effects)
(:affected)
(:policy :fast-safe))
(define-vop (fast-conditional/fixnum fast-conditional)
(:args (x :scs (any-reg)
:load-if (not (and (sc-is x control-stack)
(sc-is y any-reg))))
(y :scs (any-reg control-stack)))
(:arg-types tagged-num tagged-num)
(:note "inline fixnum comparison"))
(define-vop (fast-conditional-c/fixnum fast-conditional/fixnum)
(:args (x :scs (any-reg) :load-if t))
(:arg-types tagged-num (:constant fixnum))
(:info y))
(define-vop (fast-conditional/signed fast-conditional)
(:args (x :scs (signed-reg)
:load-if (not (and (sc-is x signed-stack)
(sc-is y signed-reg))))
(y :scs (signed-reg signed-stack)))
(: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) :load-if t))
(:arg-types signed-num (:constant (signed-byte 64)))
(:info y))
(define-vop (fast-conditional/unsigned fast-conditional)
(:args (x :scs (unsigned-reg)
:load-if (not (and (sc-is x unsigned-stack)
(sc-is y unsigned-reg))))
(y :scs (unsigned-reg unsigned-stack)))
(: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) :load-if t))
(:arg-types unsigned-num (:constant (unsigned-byte 64)))
(:info y))
;; Stolen liberally from the x86 32-bit implementation.
(macrolet ((define-logtest-vops ()
`(progn
,@(loop for suffix in '(/fixnum -c/fixnum
/signed -c/signed
/unsigned -c/unsigned)
for cost in '(4 3 6 5 6 5)
collect
`(define-vop (,(symbolicate "FAST-LOGTEST" suffix)
,(symbolicate "FAST-CONDITIONAL" suffix))
(:translate logtest)
(:conditional :ne)
(:generator ,cost
(emit-optimized-test-inst x
,(case suffix
(-c/fixnum
`(constantize (fixnumize y)))
((-c/signed -c/unsigned)
`(constantize y))
(t
'y)))))))))
(define-logtest-vops))
(defknown %logbitp (integer unsigned-byte) boolean
(movable foldable flushable always-translatable))
;;; only for constant folding within the compiler
(defun %logbitp (integer index)
(logbitp index integer))
;;; too much work to do the non-constant case (maybe?)
(define-vop (fast-logbitp-c/fixnum fast-conditional-c/fixnum)
(:translate %logbitp)
(:conditional :c)
(:arg-types tagged-num (:constant (integer 0 #.(- 63 n-fixnum-tag-bits))))
(:generator 4
(inst bt x (+ y n-fixnum-tag-bits))))
(define-vop (fast-logbitp/signed fast-conditional/signed)
(:args (x :scs (signed-reg signed-stack))
(y :scs (signed-reg)))
(:translate %logbitp)
(:conditional :c)
(:generator 6
(inst bt x y)))
(define-vop (fast-logbitp-c/signed fast-conditional-c/signed)
(:translate %logbitp)
(:conditional :c)
(:arg-types signed-num (:constant (integer 0 63)))
(:generator 5
(inst bt x y)))
(define-vop (fast-logbitp/unsigned fast-conditional/unsigned)
(:args (x :scs (unsigned-reg unsigned-stack))
(y :scs (unsigned-reg)))
(:translate %logbitp)
(:conditional :c)
(:generator 6
(inst bt x y)))
(define-vop (fast-logbitp-c/unsigned fast-conditional-c/unsigned)
(:translate %logbitp)
(:conditional :c)
(:arg-types unsigned-num (:constant (integer 0 63)))
(:generator 5
(inst bt x y)))
(macrolet ((define-conditional-vop (tran cond unsigned not-cond not-unsigned)
`(progn
,@(mapcar
(lambda (suffix cost signed)
`(define-vop (;; FIXME: These could be done more
;; cleanly with SYMBOLICATE.
,(intern (format nil "~:@(FAST-IF-~A~A~)"
tran suffix))
,(intern
(format nil "~:@(FAST-CONDITIONAL~A~)"
suffix)))
(:translate ,tran)
(:conditional ,(if signed cond unsigned))
(:generator ,cost
(inst cmp x
,(case suffix
(-c/fixnum
`(constantize (fixnumize y)))
((-c/signed -c/unsigned)
`(constantize y))
(t 'y))))))
'(/fixnum -c/fixnum /signed -c/signed /unsigned -c/unsigned)
; '(/fixnum /signed /unsigned)
'(4 3 6 5 6 5)
'(t t t t nil nil)))))
(define-conditional-vop < :l :b :ge :ae)
(define-conditional-vop > :g :a :le :be))
(define-vop (fast-if-eql/signed fast-conditional/signed)
(:translate eql)
(:generator 6
(inst cmp x y)))
(define-vop (fast-if-eql-c/signed fast-conditional-c/signed)
(:translate eql)
(:generator 5
(cond ((and (sc-is x signed-reg) (zerop y))
(inst test x x)) ; smaller instruction
(t
(inst cmp x (constantize y))))))
(define-vop (fast-if-eql/unsigned fast-conditional/unsigned)
(:translate eql)
(:generator 6
(inst cmp x y)))
(define-vop (fast-if-eql-c/unsigned fast-conditional-c/unsigned)
(:translate eql)
(:generator 5
(cond ((and (sc-is x unsigned-reg) (zerop y))
(inst test x x)) ; smaller instruction
(t
(inst cmp x (constantize y))))))
;;; 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)
:load-if (not (and (sc-is x control-stack)
(sc-is y any-reg))))
(y :scs (any-reg control-stack)))
(:arg-types tagged-num tagged-num)
(:note "inline fixnum comparison")
(:translate eql)
(:generator 4
(inst cmp x y)))
(define-vop (generic-eql/fixnum fast-eql/fixnum)
(:args (x :scs (any-reg descriptor-reg)
:load-if (not (and (sc-is x control-stack)
(sc-is y any-reg))))
(y :scs (any-reg control-stack)))
(:arg-types * tagged-num)
(:variant-cost 7))
(define-vop (fast-eql-c/fixnum fast-conditional-c/fixnum)
(:args (x :scs (any-reg) :load-if t))
(:arg-types tagged-num (:constant fixnum))
(:info y)
(:conditional :e)
(:policy :fast-safe)
(:translate eql)
(:generator 2
(cond ((and (sc-is x any-reg descriptor-reg) (zerop y))
(inst test x x)) ; smaller instruction
(t
(inst cmp x (constantize (fixnumize y)))))))
(define-vop (generic-eql-c/fixnum fast-eql-c/fixnum)
(:args (x :scs (any-reg descriptor-reg) :load-if t))
(:arg-types * (:constant fixnum))
(:variant-cost 6))
;;;; 32-bit logical operations
;;; Only the lower 6 bits of the shift amount are significant.
(define-vop (shift-towards-someplace)
(:policy :fast-safe)
(:args (num :scs (unsigned-reg) :target r)
(amount :scs (signed-reg) :target ecx))
(:arg-types unsigned-num tagged-num)
(:temporary (:sc signed-reg :offset ecx-offset :from (:argument 1)) ecx)
(:results (r :scs (unsigned-reg) :from (:argument 0)))
(:result-types unsigned-num))
(define-vop (shift-towards-start shift-towards-someplace)
(:translate shift-towards-start)
(:note "SHIFT-TOWARDS-START")
(:generator 1
(move r num)
(move ecx amount)
(inst shr r :cl)))
(define-vop (shift-towards-end shift-towards-someplace)
(:translate shift-towards-end)
(:note "SHIFT-TOWARDS-END")
(:generator 1
(move r num)
(move ecx amount)
(inst shl r :cl)))
;;;; Modular functions
(defmacro define-mod-binop ((name prototype) function)
`(define-vop (,name ,prototype)
(:args (x :target r :scs (unsigned-reg signed-reg)
:load-if (not (and (or (sc-is x unsigned-stack)
(sc-is x signed-stack))
(or (sc-is y unsigned-reg)
(sc-is y signed-reg))
(or (sc-is r unsigned-stack)
(sc-is r signed-stack))
(location= x r))))
(y :scs (unsigned-reg signed-reg unsigned-stack signed-stack)))
(:arg-types untagged-num untagged-num)
(:results (r :scs (unsigned-reg signed-reg) :from (:argument 0)
:load-if (not (and (or (sc-is x unsigned-stack)
(sc-is x signed-stack))
(or (sc-is y unsigned-reg)
(sc-is y unsigned-reg))
(or (sc-is r unsigned-stack)
(sc-is r unsigned-stack))
(location= x r)))))
(:result-types unsigned-num)
(:translate ,function)))
(defmacro define-mod-binop-c ((name prototype) function)
`(define-vop (,name ,prototype)
(:args (x :target r :scs (unsigned-reg signed-reg)
:load-if t))
(:info y)
(:arg-types untagged-num (:constant (or (unsigned-byte 64) (signed-byte 64))))
(:results (r :scs (unsigned-reg signed-reg) :from (:argument 0)
:load-if t))
(:result-types unsigned-num)
(:translate ,function)))
(macrolet ((def (name -c-p)
(let ((fun64 (intern (format nil "~S-MOD64" name)))
(vopu (intern (format nil "FAST-~S/UNSIGNED=>UNSIGNED" name)))
(vopcu (intern (format nil "FAST-~S-C/UNSIGNED=>UNSIGNED" name)))
(vopf (intern (format nil "FAST-~S/FIXNUM=>FIXNUM" name)))
(vopcf (intern (format nil "FAST-~S-C/FIXNUM=>FIXNUM" name)))
(vop64u (intern (format nil "FAST-~S-MOD64/WORD=>UNSIGNED" name)))
(vop64f (intern (format nil "FAST-~S-MOD64/FIXNUM=>FIXNUM" name)))
(vop64cu (intern (format nil "FAST-~S-MOD64-C/WORD=>UNSIGNED" name)))
(vop64cf (intern (format nil "FAST-~S-MOD64-C/FIXNUM=>FIXNUM" name)))
(funfx (intern (format nil "~S-MODFX" name)))
(vopfxf (intern (format nil "FAST-~S-MODFX/FIXNUM=>FIXNUM" name)))
(vopfxcf (intern (format nil "FAST-~S-MODFX-C/FIXNUM=>FIXNUM" name))))
`(progn
(define-modular-fun ,fun64 (x y) ,name :untagged nil 64)
(define-modular-fun ,funfx (x y) ,name :tagged t
#.(- n-word-bits n-fixnum-tag-bits))
(define-mod-binop (,vop64u ,vopu) ,fun64)
(define-vop (,vop64f ,vopf) (:translate ,fun64))
(define-vop (,vopfxf ,vopf) (:translate ,funfx))
,@(when -c-p
`((define-mod-binop-c (,vop64cu ,vopcu) ,fun64)
(define-vop (,vopfxcf ,vopcf) (:translate ,funfx))))))))
(def + t)
(def - t)
(def * t))
(define-modular-fun %negate-mod64 (x) %negate :untagged nil 64)
(define-vop (%negate-mod64)
(:translate %negate-mod64)
(:policy :fast-safe)
(:args (x :scs (unsigned-reg) :target r))
(:arg-types unsigned-num)
(:results (r :scs (unsigned-reg)))
(:result-types unsigned-num)
(:generator 3
(move r x)
(inst neg r)))
(define-modular-fun %negate-modfx (x) %negate :tagged t #.(- n-word-bits
n-fixnum-tag-bits))
(define-vop (%negate-modfx fast-negate/fixnum)
(:translate %negate-modfx))
(define-vop (fast-ash-left-mod64-c/unsigned=>unsigned
fast-ash-c/unsigned=>unsigned)
(:translate ash-left-mod64))
(define-vop (fast-ash-left-mod64/unsigned=>unsigned
fast-ash-left/unsigned=>unsigned))
(deftransform ash-left-mod64 ((integer count)
((unsigned-byte 64) (unsigned-byte 6)))
(when (sb!c::constant-lvar-p count)
(sb!c::give-up-ir1-transform))
'(%primitive fast-ash-left-mod64/unsigned=>unsigned integer count))
(define-vop (fast-ash-left-modfx-c/fixnum=>fixnum
fast-ash-c/fixnum=>fixnum)
(:variant :modular)
(:translate ash-left-modfx))
(define-vop (fast-ash-left-modfx/fixnum=>fixnum
fast-ash-left/fixnum=>fixnum))
(deftransform ash-left-modfx ((integer count)
(fixnum (unsigned-byte 6)))
(when (sb!c::constant-lvar-p count)
(sb!c::give-up-ir1-transform))
'(%primitive fast-ash-left-modfx/fixnum=>fixnum integer count))
(in-package "SB!C")
(defknown sb!vm::%lea-mod64 (integer integer (member 1 2 4 8) (signed-byte 64))
(unsigned-byte 64)
(foldable flushable movable))
(defknown sb!vm::%lea-modfx (integer integer (member 1 2 4 8) (signed-byte 64))
fixnum
(foldable flushable movable))
(define-modular-fun-optimizer %lea ((base index scale disp) :untagged nil :width width)
(when (and (<= width 64)
(constant-lvar-p scale)
(constant-lvar-p disp))
(cut-to-width base :untagged width nil)
(cut-to-width index :untagged width nil)
'sb!vm::%lea-mod64))
(define-modular-fun-optimizer %lea ((base index scale disp) :tagged t :width width)
(when (and (<= width (- sb!vm:n-word-bits sb!vm:n-fixnum-tag-bits))
(constant-lvar-p scale)
(constant-lvar-p disp))
(cut-to-width base :tagged width t)
(cut-to-width index :tagged width t)
'sb!vm::%lea-modfx))
#+sb-xc-host
(progn
(defun sb!vm::%lea-mod64 (base index scale disp)
(ldb (byte 64 0) (%lea base index scale disp)))
(defun sb!vm::%lea-modfx (base index scale disp)
(mask-signed-field (- sb!vm:n-word-bits sb!vm:n-fixnum-tag-bits)
(%lea base index scale disp))))
#-sb-xc-host
(progn
(defun sb!vm::%lea-mod64 (base index scale disp)
(let ((base (logand base #xffffffffffffffff))
(index (logand index #xffffffffffffffff)))
;; can't use modular version of %LEA, as we only have VOPs for
;; constant SCALE and DISP.
(ldb (byte 64 0) (+ base (* index scale) disp))))
(defun sb!vm::%lea-modfx (base index scale disp)
(let* ((fixnum-width (- sb!vm:n-word-bits sb!vm:n-fixnum-tag-bits))
(base (mask-signed-field fixnum-width base))
(index (mask-signed-field fixnum-width index)))
;; can't use modular version of %LEA, as we only have VOPs for
;; constant SCALE and DISP.
(mask-signed-field fixnum-width (+ base (* index scale) disp)))))
(in-package "SB!VM")
(define-vop (%lea-mod64/unsigned=>unsigned
%lea/unsigned=>unsigned)
(:translate %lea-mod64))
(define-vop (%lea-modfx/fixnum=>fixnum
%lea/fixnum=>fixnum)
(:translate %lea-modfx))
;;; logical operations
(define-modular-fun lognot-mod64 (x) lognot :untagged nil 64)
(define-vop (lognot-mod64/unsigned=>unsigned)
(:translate lognot-mod64)
(:args (x :scs (unsigned-reg unsigned-stack) :target r
:load-if (not (and (sc-is x unsigned-stack)
(sc-is r unsigned-stack)
(location= x r)))))
(:arg-types unsigned-num)
(:results (r :scs (unsigned-reg)
:load-if (not (and (sc-is x unsigned-stack)
(sc-is r unsigned-stack)
(location= x r)))))
(:result-types unsigned-num)
(:policy :fast-safe)
(:generator 1
(move r x)
(inst not r)))
(define-source-transform logeqv (&rest args)
(if (oddp (length args))
`(logxor ,@args)
`(lognot (logxor ,@args))))
(define-source-transform logandc1 (x y)
`(logand (lognot ,x) ,y))
(define-source-transform logandc2 (x y)
`(logand ,x (lognot ,y)))
(define-source-transform logorc1 (x y)
`(logior (lognot ,x) ,y))
(define-source-transform logorc2 (x y)
`(logior ,x (lognot ,y)))
(define-source-transform lognor (x y)
`(lognot (logior ,x ,y)))
(define-source-transform lognand (x y)
`(lognot (logand ,x ,y)))
;;;; 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-reffer+offset bignum-ref-with-offset * bignum-digits-offset
other-pointer-lowtag (unsigned-reg) unsigned-num
sb!bignum:%bignum-ref-with-offset)
(define-full-setter bignum-set * bignum-digits-offset other-pointer-lowtag
(unsigned-reg) unsigned-num sb!bignum:%bignum-set)
(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)
(:conditional :ns)
(:generator 3
(inst test digit digit)))
;;; For add and sub with carry the sc of carry argument is any-reg so
;;; that it may be passed as a fixnum or word and thus may be 0, 1, or
;;; 8. This is easy to deal with and may save a fixnum-word
;;; conversion.
(define-vop (add-w/carry)
(:translate sb!bignum:%add-with-carry)
(:policy :fast-safe)
(:args (a :scs (unsigned-reg) :target result)
(b :scs (unsigned-reg unsigned-stack) :to :eval)
(c :scs (any-reg) :target temp))
(:arg-types unsigned-num unsigned-num positive-fixnum)
(:temporary (:sc any-reg :from (:argument 2) :to :eval) temp)
(:results (result :scs (unsigned-reg) :from (:argument 0))
(carry :scs (unsigned-reg)))
(:result-types unsigned-num positive-fixnum)
(:generator 4
(move result a)
(move temp c)
(inst neg temp) ; Set the carry flag to 0 if c=0 else to 1
(inst adc result b)
(inst mov carry 0)
(inst adc carry carry)))
;;; Note: the borrow is 1 for no borrow and 0 for a borrow, the opposite
;;; of the x86-64 convention.
(define-vop (sub-w/borrow)
(:translate sb!bignum:%subtract-with-borrow)
(:policy :fast-safe)
(:args (a :scs (unsigned-reg) :to :eval :target result)
(b :scs (unsigned-reg unsigned-stack) :to :result)
(c :scs (any-reg control-stack)))
(:arg-types unsigned-num unsigned-num positive-fixnum)
(:results (result :scs (unsigned-reg) :from :eval)
(borrow :scs (unsigned-reg)))
(:result-types unsigned-num positive-fixnum)
(:generator 5
(inst cmp c 1) ; Set the carry flag to 1 if c=0 else to 0
(move result a)
(inst sbb result b)
(inst mov borrow 1)
(inst sbb borrow 0)))
(define-vop (bignum-mult-and-add-3-arg)
(:translate sb!bignum:%multiply-and-add)
(:policy :fast-safe)
(:args (x :scs (unsigned-reg) :target eax)
(y :scs (unsigned-reg unsigned-stack))
(carry-in :scs (unsigned-reg unsigned-stack)))
(:arg-types unsigned-num unsigned-num unsigned-num)
(:temporary (:sc unsigned-reg :offset eax-offset :from (:argument 0)
:to (:result 1) :target lo) eax)
(:temporary (:sc unsigned-reg :offset edx-offset :from (:argument 1)
:to (:result 0) :target hi) edx)
(:results (hi :scs (unsigned-reg))
(lo :scs (unsigned-reg)))
(:result-types unsigned-num unsigned-num)
(:generator 20
(move eax x)
(inst mul eax y)
(inst add eax carry-in)
(inst adc edx 0)
(move hi edx)
(move lo eax)))
(define-vop (bignum-mult-and-add-4-arg)
(:translate sb!bignum:%multiply-and-add)
(:policy :fast-safe)
(:args (x :scs (unsigned-reg) :target eax)
(y :scs (unsigned-reg unsigned-stack))
(prev :scs (unsigned-reg unsigned-stack))
(carry-in :scs (unsigned-reg unsigned-stack)))
(:arg-types unsigned-num unsigned-num unsigned-num unsigned-num)
(:temporary (:sc unsigned-reg :offset eax-offset :from (:argument 0)
:to (:result 1) :target lo) eax)
(:temporary (:sc unsigned-reg :offset edx-offset :from (:argument 1)
:to (:result 0) :target hi) edx)
(:results (hi :scs (unsigned-reg))
(lo :scs (unsigned-reg)))
(:result-types unsigned-num unsigned-num)
(:generator 20
(move eax x)
(inst mul eax y)
(inst add eax prev)
(inst adc edx 0)
(inst add eax carry-in)
(inst adc edx 0)
(move hi edx)
(move lo eax)))
(define-vop (bignum-mult)
(:translate sb!bignum:%multiply)
(:policy :fast-safe)
(:args (x :scs (unsigned-reg) :target eax)
(y :scs (unsigned-reg unsigned-stack)))
(:arg-types unsigned-num unsigned-num)
(:temporary (:sc unsigned-reg :offset eax-offset :from (:argument 0)
:to (:result 1) :target lo) eax)
(:temporary (:sc unsigned-reg :offset edx-offset :from (:argument 1)
:to (:result 0) :target hi) edx)
(:results (hi :scs (unsigned-reg))
(lo :scs (unsigned-reg)))
(:result-types unsigned-num unsigned-num)
(:generator 20
(move eax x)
(inst mul eax y)
(move hi edx)
(move lo eax)))
#!+multiply-high-vops
(define-vop (mulhi)
(:translate sb!kernel:%multiply-high)
(:policy :fast-safe)
(:args (x :scs (unsigned-reg) :target eax)
(y :scs (unsigned-reg unsigned-stack)))
(:arg-types unsigned-num unsigned-num)
(:temporary (:sc unsigned-reg :offset eax-offset :from (:argument 0))
eax)
(:temporary (:sc unsigned-reg :offset edx-offset :from (:argument 1)
:to (:result 0) :target hi) edx)
(:results (hi :scs (unsigned-reg)))
(:result-types unsigned-num)
(:generator 20
(move eax x)
(inst mul eax y)
(move hi edx)))
#!+multiply-high-vops
(define-vop (mulhi/fx)
(:translate sb!kernel:%multiply-high)
(:policy :fast-safe)
(:args (x :scs (any-reg) :target eax)
(y :scs (unsigned-reg unsigned-stack)))
(:arg-types positive-fixnum unsigned-num)
(:temporary (:sc any-reg :offset eax-offset :from (:argument 0)) eax)
(:temporary (:sc any-reg :offset edx-offset :from (:argument 1)
:to (:result 0) :target hi) edx)
(:results (hi :scs (any-reg)))
(:result-types positive-fixnum)
(:generator 15
(move eax x)
(inst mul eax y)
(move hi edx)
(inst and hi (lognot fixnum-tag-mask))))
(define-vop (bignum-lognot lognot-mod64/unsigned=>unsigned)
(:translate sb!bignum:%lognot))
(define-vop (fixnum-to-digit)
(:translate sb!bignum:%fixnum-to-digit)
(:policy :fast-safe)
(:args (fixnum :scs (any-reg control-stack) :target digit))
(:arg-types tagged-num)
(:results (digit :scs (unsigned-reg)
:load-if (not (and (sc-is fixnum control-stack)
(sc-is digit unsigned-stack)
(location= fixnum digit)))))
(:result-types unsigned-num)
(:generator 1
(move digit fixnum)
(inst sar digit n-fixnum-tag-bits)))
(define-vop (bignum-floor)
(:translate sb!bignum:%bigfloor)
(:policy :fast-safe)
(:args (div-high :scs (unsigned-reg) :target edx)
(div-low :scs (unsigned-reg) :target eax)
(divisor :scs (unsigned-reg unsigned-stack)))
(:arg-types unsigned-num unsigned-num unsigned-num)
(:temporary (:sc unsigned-reg :offset eax-offset :from (:argument 1)
:to (:result 0) :target quo) eax)
(:temporary (:sc unsigned-reg :offset edx-offset :from (:argument 0)
:to (:result 1) :target rem) edx)
(:results (quo :scs (unsigned-reg))
(rem :scs (unsigned-reg)))
(:result-types unsigned-num unsigned-num)
(:generator 300
(move edx div-high)
(move eax div-low)
(inst div eax divisor)
(move quo eax)
(move rem edx)))
(define-vop (signify-digit)
(:translate sb!bignum:%fixnum-digit-with-correct-sign)
(:policy :fast-safe)
(:args (digit :scs (unsigned-reg unsigned-stack) :target res))
(:arg-types unsigned-num)
(:results (res :scs (any-reg signed-reg)
:load-if (not (and (sc-is digit unsigned-stack)
(sc-is res control-stack signed-stack)
(location= digit res)))))
(:result-types signed-num)
(:generator 1
(move res digit)
(when (sc-is res any-reg control-stack)
(inst shl res n-fixnum-tag-bits))))
(define-vop (digit-ashr)
(:translate sb!bignum:%ashr)
(:policy :fast-safe)
(:args (digit :scs (unsigned-reg unsigned-stack) :target result)
(count :scs (unsigned-reg) :target ecx))
(:arg-types unsigned-num positive-fixnum)
(:temporary (:sc unsigned-reg :offset ecx-offset :from (:argument 1)) ecx)
(:results (result :scs (unsigned-reg) :from (:argument 0)
:load-if (not (and (sc-is result unsigned-stack)
(location= digit result)))))
(:result-types unsigned-num)
(:generator 2
(move result digit)
(move ecx count)
(inst sar result :cl)))
(define-vop (digit-ashr/c)
(:translate sb!bignum:%ashr)
(:policy :fast-safe)
(:args (digit :scs (unsigned-reg unsigned-stack) :target result))
(:arg-types unsigned-num (:constant (integer 0 63)))
(:info count)
(:results (result :scs (unsigned-reg) :from (:argument 0)
:load-if (not (and (sc-is result unsigned-stack)
(location= digit result)))))
(:result-types unsigned-num)
(:generator 1
(move result digit)
(inst sar result count)))
(define-vop (digit-lshr digit-ashr)
(:translate sb!bignum:%digit-logical-shift-right)
(:generator 1
(move result digit)
(move ecx count)
(inst shr result :cl)))
(define-vop (digit-ashl digit-ashr)
(:translate sb!bignum:%ashl)
(:generator 1
(move result digit)
(move ecx count)
(inst shl result :cl)))
(define-vop (logand-bignum/c)
(:translate logand)
(:policy :fast-safe)
(:args (x :scs (descriptor-reg)))
(:arg-types bignum (:constant word))
(:results (r :scs (unsigned-reg)))
(:info mask)
(:result-types unsigned-num)
(:generator 4
(let ((mask (constantize mask)))
(cond ((or (integerp mask)
(location= x r))
(loadw r x bignum-digits-offset other-pointer-lowtag)
(unless (eql mask -1)
(inst and r mask)))
(t
(inst mov r mask)
(inst and r (make-ea-for-object-slot x
bignum-digits-offset
other-pointer-lowtag)))))))
;; Specialised mask-signed-field VOPs.
(define-vop (mask-signed-field-word/c)
(:translate sb!c::mask-signed-field)
(:policy :fast-safe)
(:args (x :scs (signed-reg unsigned-reg) :target r))
(:arg-types (:constant (integer 0 64)) untagged-num)
(:results (r :scs (signed-reg)))
(:result-types signed-num)
(:info width)
(:generator 3
(cond ((zerop width)
(zeroize r))
((= width 64)
(move r x))
((member width '(32 16 8))
(inst movsx r (reg-in-size x (ecase width
(32 :dword)
(16 :word)
(8 :byte)))))
(t
(move r x)
(let ((delta (- n-word-bits width)))
(inst shl r delta)
(inst sar r delta))))))
(define-vop (mask-signed-field-bignum/c)
(:translate sb!c::mask-signed-field)
(:policy :fast-safe)
(:args (x :scs (descriptor-reg) :target r))
(:arg-types (:constant (integer 0 64)) bignum)
(:results (r :scs (signed-reg)))
(:result-types signed-num)
(:info width)
(:generator 4
(cond ((zerop width)
(zeroize r))
((member width '(8 16 32 64))
(ecase width
(64 (loadw r x bignum-digits-offset other-pointer-lowtag))
((32 16 8)
(inst movsx r (make-ea (ecase width (32 :dword) (16 :word) (8 :byte))
:base x
:disp (- (* bignum-digits-offset n-word-bytes)
other-pointer-lowtag))))))
(t
(loadw r x bignum-digits-offset other-pointer-lowtag)
(let ((delta (- n-word-bits width)))
(inst shl r delta)
(inst sar r delta))))))
;;;; static functions
(define-static-fun two-arg-/ (x y) :translate /)
(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-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)
(in-package "SB!C")
(defun *-transformer (y)
(cond
((= y (ash 1 (integer-length y)))
;; there's a generic transform for y = 2^k
(give-up-ir1-transform))
((member y '(3 5 9))
;; we can do these multiplications directly using LEA
`(%lea x x ,(1- y) 0))
(t
;; A normal 64-bit multiplication takes 4 cycles on Athlon 64/Opteron.
;; Optimizing multiplications (other than the above cases) to
;; shifts/adds/leas gives a maximum improvement of 1 cycle, but requires
;; quite a lot of hairy code.
(give-up-ir1-transform))))
(deftransform * ((x y)
((unsigned-byte 64) (constant-arg (unsigned-byte 64)))
(unsigned-byte 64))
"recode as leas, shifts and adds"
(let ((y (lvar-value y)))
(*-transformer y)))
(deftransform sb!vm::*-mod64
((x y) ((unsigned-byte 64) (constant-arg (unsigned-byte 64)))
(unsigned-byte 64))
"recode as leas, shifts and adds"
(let ((y (lvar-value y)))
(*-transformer y)))
(deftransform * ((x y)
(fixnum (constant-arg (unsigned-byte 64)))
fixnum)
"recode as leas, shifts and adds"
(let ((y (lvar-value y)))
(*-transformer y)))
(deftransform sb!vm::*-modfx
((x y) (fixnum (constant-arg (unsigned-byte 64)))
fixnum)
"recode as leas, shifts and adds"
(let ((y (lvar-value y)))
(*-transformer y)))