;;;; the VM definition of arithmetic VOPs for the x86 ;;;; 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") ;;;; 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 32) 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 2 (move res x) (inst xor res (fixnumize -1)))) (define-vop (fast-lognot/signed signed-unop) (:translate lognot) (:generator 1 (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 32) 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 32) arithmetic")) (define-vop (fast-fixnum-binop-c fast-safe-arith-op) (:args (x :target r :scs (any-reg control-stack))) (:info y) (:arg-types tagged-num (:constant (signed-byte 29))) (:results (r :scs (any-reg) :load-if (not (location= x r)))) (: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 unsigned-stack))) (:info y) (:arg-types unsigned-num (:constant (unsigned-byte 32))) (:results (r :scs (unsigned-reg) :load-if (not (location= x r)))) (:result-types unsigned-num) (:note "inline (unsigned-byte 32) arithmetic")) ;; 32 not 64 because it's hard work loading 64 bit constants (define-vop (fast-signed-binop-c fast-safe-arith-op) (:args (x :target r :scs (signed-reg signed-stack))) (:info y) (:arg-types signed-num (:constant (signed-byte 32))) (:results (r :scs (signed-reg) :load-if (not (location= x r)))) (:result-types signed-num) (:note "inline (signed-byte 64) arithmetic")) (macrolet ((define-binop (translate untagged-penalty op) `(progn (define-vop (,(symbolicate "FAST-" translate "/FIXNUM=>FIXNUM") fast-fixnum-binop) (:translate ,translate) (:generator 2 (move r x) (inst ,op r y))) (define-vop (,(symbolicate 'fast- translate '-c/fixnum=>fixnum) fast-fixnum-binop-c) (:translate ,translate) (:generator 1 (move r x) (inst ,op r (fixnumize y)))) (define-vop (,(symbolicate "FAST-" translate "/SIGNED=>SIGNED") fast-signed-binop) (:translate ,translate) (:generator ,(1+ untagged-penalty) (move r x) (inst ,op r y))) (define-vop (,(symbolicate 'fast- translate '-c/signed=>signed) fast-signed-binop-c) (:translate ,translate) (:generator ,untagged-penalty (move r x) (inst ,op r y))) (define-vop (,(symbolicate "FAST-" translate "/UNSIGNED=>UNSIGNED") fast-unsigned-binop) (:translate ,translate) (:generator ,(1+ untagged-penalty) (move r x) (inst ,op r y))) (define-vop (,(symbolicate 'fast- translate '-c/unsigned=>unsigned) fast-unsigned-binop-c) (:translate ,translate) (:generator ,untagged-penalty (move r x) (inst ,op r y)))))) ;;(define-binop + 4 add) (define-binop - 4 sub) (define-binop logand 2 and) (define-binop logior 2 or) (define-binop logxor 2 xor)) ;;; Special handling of add on the x86; can use lea to avoid a ;;; register load, otherwise it uses add. (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 control-stack))) (:info y) (:arg-types tagged-num (:constant (signed-byte 29))) (:results (r :scs (any-reg) :load-if (not (location= x r)))) (:result-types tagged-num) (:note "inline fixnum arithmetic") (:generator 1 (cond ((and (sc-is x any-reg) (sc-is r any-reg) (not (location= x r))) (inst lea r (make-ea :qword :base x :disp (fixnumize y)))) (t (move r x) (inst add r (fixnumize 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 32) 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)) (define-vop (fast-logand-c/signed-unsigned=>unsigned fast-logand-c/unsigned=>unsigned) (:args (x :target r :scs (signed-reg signed-stack))) (:arg-types signed-num (:constant (unsigned-byte 32)))) (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 signed-stack))) (:info y) (:arg-types signed-num (:constant (signed-byte 32))) (:results (r :scs (signed-reg) :load-if (not (location= x r)))) (:result-types signed-num) (:note "inline (signed-byte 32) arithmetic") (:generator 4 (cond ((and (sc-is x signed-reg) (sc-is r signed-reg) (not (location= x r))) (inst lea r (make-ea :qword :base x :disp y))) (t (move r x) (if (= y 1) (inst inc r) (inst add r 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 32) 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 unsigned-stack))) (:info y) (:arg-types unsigned-num (:constant (unsigned-byte 32))) (:results (r :scs (unsigned-reg) :load-if (not (location= x r)))) (:result-types unsigned-num) (:note "inline (unsigned-byte 32) arithmetic") (:generator 4 (cond ((and (sc-is x unsigned-reg) (sc-is r unsigned-reg) (not (location= x r))) (inst lea r (make-ea :qword :base x :disp y))) (t (move r x) (if (= y 1) (inst inc r) (inst add r 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 3) (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 control-stack))) (:info y) (:arg-types tagged-num (:constant (signed-byte 29))) (:results (r :scs (any-reg))) (:result-types tagged-num) (:note "inline fixnum arithmetic") (:generator 3 (inst imul r x 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 32) 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 signed-stack))) (:info y) (:arg-types signed-num (:constant (signed-byte 32))) (:results (r :scs (signed-reg))) (:result-types signed-num) (:note "inline (signed-byte 32) arithmetic") (:generator 4 (inst imul r x 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 result :from (:argument 0) :to :result) eax) (:temporary (:sc unsigned-reg :offset edx-offset :from :eval :to :result) edx) (:ignore edx) (:results (result :scs (unsigned-reg))) (:result-types unsigned-num) (:note "inline (unsigned-byte 32) arithmetic") (:vop-var vop) (:save-p :compute-only) (:generator 6 (move eax x) (inst mul eax y) (move result 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 3) (inst lea quo (make-ea :qword :index eax :scale 8))) (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 (signed-byte 29))) (: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 3) (inst lea quo (make-ea :qword :index eax :scale 8))) (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 32) 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 32))) (: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 32) 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 32) 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 32))) (: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 32) 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") (:generator 2 (cond ((and (= amount 1) (not (location= number result))) (inst lea result (make-ea :qword :index number :scale 2))) ((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) ;; We don't have to worry about overflow because of the ;; result type restriction. (inst shl result amount)) ((zerop amount) ) ((< amount -63) (inst xor result result)) (t ;; shift too far then back again, to zero tag bits (inst sar result (- 3 amount)) (inst lea result (make-ea :qword :index result :scale 8)))))))) (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 :index number :scale 2))) ((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 :index number :scale 2))) ((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) (inst xor result 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 or 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 or ecx ecx) (inst jmp :ns positive) (inst neg ecx) (inst cmp ecx 63) (inst jmp :be okay) (inst xor result 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)) (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 or ecx ecx) (inst jmp :ns positive) (inst neg ecx) (inst xor zero 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)) ;;; Note: documentation for this function is wrong - rtfm (define-vop (signed-byte-64-len) (:translate integer-length) (:note "inline (signed-byte 32) 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 cmp res 0) (inst jmp :ge POS) (inst not res) POS (inst bsr res res) (inst jmp :z zero) (inst inc res) (inst jmp done) ZERO (inst xor res res) DONE)) (define-vop (unsigned-byte-64-len) (:translate integer-length) (:note "inline (unsigned-byte 32) 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 (inst xor res res) DONE)) (define-vop (unsigned-byte-64-count) (:translate logcount) (:note "inline (unsigned-byte 64) logcount") (:policy :fast-safe) (:args (arg :scs (unsigned-reg))) (:arg-types unsigned-num) (:results (result :scs (unsigned-reg))) (:result-types positive-fixnum) (:temporary (:sc unsigned-reg :from (:argument 0)) temp) (:temporary (:sc unsigned-reg :from (:argument 0)) t1) (:generator 60 (move result arg) (inst mov temp result) (inst shr temp 1) (inst and result #x55555555) ; note these masks will restrict the (inst and temp #x55555555) ; count to the lower half of arg (inst add result temp) (inst mov temp result) (inst shr temp 2) (inst and result #x33333333) (inst and temp #x33333333) (inst add result temp) (inst mov temp result) (inst shr temp 4) (inst and result #x0f0f0f0f) (inst and temp #x0f0f0f0f) (inst add result temp) (inst mov temp result) (inst shr temp 8) (inst and result #x00ff00ff) (inst and temp #x00ff00ff) (inst add result temp) (inst mov temp result) (inst shr temp 16) (inst and result #x0000ffff) (inst and temp #x0000ffff) (inst add result temp) ;;; now do the upper half (move t1 arg) (inst bswap t1) (inst mov temp t1) (inst shr temp 1) (inst and t1 #x55555555) (inst and temp #x55555555) (inst add t1 temp) (inst mov temp t1) (inst shr temp 2) (inst and t1 #x33333333) (inst and temp #x33333333) (inst add t1 temp) (inst mov temp t1) (inst shr temp 4) (inst and t1 #x0f0f0f0f) (inst and temp #x0f0f0f0f) (inst add t1 temp) (inst mov temp t1) (inst shr temp 8) (inst and t1 #x00ff00ff) (inst and temp #x00ff00ff) (inst add t1 temp) (inst mov temp t1) (inst shr temp 16) (inst and t1 #x0000ffff) (inst and temp #x0000ffff) (inst add t1 temp) (inst add result t1))) ;;;; binary conditional VOPs (define-vop (fast-conditional) (:conditional) (:info target not-p) (:effects) (:affected) (:policy :fast-safe)) ;;; constant variants are declared for 32 bits not 64 bits, because ;;; loading a 64 bit constant is silly (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 control-stack))) (:arg-types tagged-num (:constant (signed-byte 29))) (:info target not-p 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 32) comparison")) (define-vop (fast-conditional-c/signed fast-conditional/signed) (:args (x :scs (signed-reg signed-stack))) (:arg-types signed-num (:constant (signed-byte 32))) (:info target not-p 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 32) comparison")) (define-vop (fast-conditional-c/unsigned fast-conditional/unsigned) (:args (x :scs (unsigned-reg unsigned-stack))) (:arg-types unsigned-num (:constant (unsigned-byte 32))) (:info target not-p 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) (:generator ,cost (inst cmp x ,(if (eq suffix '-c/fixnum) '(fixnumize y) 'y)) (inst jmp (if not-p ,(if signed not-cond not-unsigned) ,(if signed cond unsigned)) target)))) '(/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) (inst jmp (if not-p :ne :e) target))) (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 y))) (inst jmp (if not-p :ne :e) target))) (define-vop (fast-if-eql/unsigned fast-conditional/unsigned) (:translate eql) (:generator 6 (inst cmp x y) (inst jmp (if not-p :ne :e) target))) (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 y))) (inst jmp (if not-p :ne :e) target))) ;;; 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) (inst jmp (if not-p :ne :e) target))) (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/fixnum) (:args (x :scs (any-reg control-stack))) (:arg-types tagged-num (:constant (signed-byte 29))) (:info target not-p y) (:translate eql) (:generator 2 (cond ((and (sc-is x any-reg) (zerop y)) (inst test x x)) ; smaller instruction (t (inst cmp x (fixnumize y)))) (inst jmp (if not-p :ne :e) target))) (define-vop (generic-eql-c/fixnum fast-eql-c/fixnum) (:args (x :scs (any-reg descriptor-reg control-stack))) (:arg-types * (:constant (signed-byte 29))) (:variant-cost 6)) ;;;; 32-bit logical operations (define-vop (merge-bits) (:translate merge-bits) (:args (shift :scs (signed-reg unsigned-reg) :target ecx) (prev :scs (unsigned-reg) :target result) (next :scs (unsigned-reg))) (:arg-types tagged-num unsigned-num unsigned-num) (:temporary (:sc signed-reg :offset ecx-offset :from (:argument 0)) ecx) (:results (result :scs (unsigned-reg) :from (:argument 1))) (:result-types unsigned-num) (:policy :fast-safe) (:generator 4 (move ecx shift) (move result prev) (inst shrd result next :cl))) ;;; 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 (macrolet ((define-modular-backend (fun &optional constantp) (collect ((forms)) (dolist (info '((60 fixnum) (64 unsigned))) (destructuring-bind (width regtype) info (let ((mfun-name (intern (format nil "~A-MOD~A" fun width))) (mvop (intern (format nil "FAST-~A-MOD~A/~A=>~A" fun width regtype regtype))) (mcvop (intern (format nil "FAST-~A-MOD~A-C/~A=>~A" fun width regtype regtype))) (vop (intern (format nil "FAST-~A/~A=>~A" fun regtype regtype))) (cvop (intern (format nil "FAST-~A-C/~A=>~A" fun regtype regtype)))) (forms `(define-modular-fun ,mfun-name (x y) ,fun ,width)) (forms `(define-vop (,mvop ,vop) (:translate ,mfun-name))) (when constantp (forms `(define-vop (,mcvop ,cvop) (:translate ,mfun-name))))))) `(progn ,@(forms))))) (define-modular-backend + t) (define-modular-backend - t) (define-modular-backend *) ; FIXME: there exists a ; FAST-*-C/FIXNUM=>FIXNUM VOP which ; should be used for the MOD60 case, ; but the MOD64 case cannot accept ; immediate arguments. (define-modular-backend logxor t)) (define-vop (fast-ash-left-mod64-c/unsigned=>unsigned fast-ash-c/unsigned=>unsigned) (:translate ash-left-mod64)) (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)) (define-modular-fun-optimizer %lea ((base index scale disp) :width width) (when (and (<= width 64) (constant-lvar-p scale) (constant-lvar-p disp)) (cut-to-width base width) (cut-to-width index width) 'sb!vm::%lea-mod64)) #+sb-xc-host (defun sb!vm::%lea-mod64 (base index scale disp) (ldb (byte 64 0) (%lea base index scale disp))) #-sb-xc-host (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)))) (in-package "SB!VM") (define-vop (%lea-mod64/unsigned=>unsigned %lea/unsigned=>unsigned) (:translate %lea-mod64)) ;;; logical operations (define-modular-fun lognot-mod64 (x) lognot 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-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) (:info target not-p) (:generator 3 (inst or digit digit) (inst jmp (if not-p :s :ns) target))) ;;; For add and sub with carry the sc of carry argument is any-reg so ;;; the it may be passed as a fixnum or word and thus may be 0, 1, or ;;; 4. 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 the oppostite of the x86 convention - 1 for no ;;; borrow and 0 for a borrow. (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 0) (inst adc borrow borrow) (inst xor borrow 1))) (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))) (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 3))) (define-vop (bignum-floor) (:translate sb!bignum:%floor) (: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 3)))) (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 1 (move result digit) (move ecx count) (inst sar result :cl))) (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))) ;;;; 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") ;;; This is essentially a straight implementation of the algorithm in ;;; "Strength Reduction of Multiplications by Integer Constants", ;;; Youfeng Wu, ACM SIGPLAN Notices, Vol. 30, No.2, February 1995. (defun basic-decompose-multiplication (arg num n-bits condensed) (case (aref condensed 0) (0 (let ((tmp (min 3 (aref condensed 1)))) (decf (aref condensed 1) tmp) `(logand #xffffffff (%lea ,arg ,(decompose-multiplication arg (ash (1- num) (- tmp)) (1- n-bits) (subseq condensed 1)) ,(ash 1 tmp) 0)))) ((1 2 3) (let ((r0 (aref condensed 0))) (incf (aref condensed 1) r0) `(logand #xffffffff (%lea ,(decompose-multiplication arg (- num (ash 1 r0)) (1- n-bits) (subseq condensed 1)) ,arg ,(ash 1 r0) 0)))) (t (let ((r0 (aref condensed 0))) (setf (aref condensed 0) 0) `(logand #xffffffff (ash ,(decompose-multiplication arg (ash num (- r0)) n-bits condensed) ,r0)))))) (defun decompose-multiplication (arg num n-bits condensed) (cond ((= n-bits 0) 0) ((= num 1) arg) ((= n-bits 1) `(logand #xffffffff (ash ,arg ,(1- (integer-length num))))) ((let ((max 0) (end 0)) (loop for i from 2 to (length condensed) for j = (reduce #'+ (subseq condensed 0 i)) when (and (> (- (* 2 i) 3 j) max) (< (+ (ash 1 (1+ j)) (ash (ldb (byte (- 64 (1+ j)) (1+ j)) num) (1+ j))) (ash 1 64))) do (setq max (- (* 2 i) 3 j) end i)) (when (> max 0) (let ((j (reduce #'+ (subseq condensed 0 end)))) (let ((n2 (+ (ash 1 (1+ j)) (ash (ldb (byte (- 64 (1+ j)) (1+ j)) num) (1+ j)))) (n1 (1+ (ldb (byte (1+ j) 0) (lognot num))))) `(logand #xffffffff (- ,(optimize-multiply arg n2) ,(optimize-multiply arg n1)))))))) ((dolist (i '(9 5 3)) (when (integerp (/ num i)) (when (< (logcount (/ num i)) (logcount num)) (let ((x (gensym))) (return `(let ((,x ,(optimize-multiply arg (/ num i)))) (logand #xffffffff (%lea ,x ,x (1- ,i) 0))))))))) (t (basic-decompose-multiplication arg num n-bits condensed)))) (defun optimize-multiply (arg x) (let* ((n-bits (logcount x)) (condensed (make-array n-bits))) (let ((count 0) (bit 0)) (dotimes (i 64) (cond ((logbitp i x) (setf (aref condensed bit) count) (setf count 1) (incf bit)) (t (incf count))))) (decompose-multiplication arg x n-bits condensed))) (defun *-transformer (y) (cond (t (give-up-ir1-transform)) ((= 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)) ((member :pentium4 *backend-subfeatures*) ;; the pentium4's multiply unit is reportedly very good (give-up-ir1-transform)) ;; FIXME: should make this more fine-grained. If nothing else, ;; there should probably be a cutoff of about 9 instructions on ;; pentium-class machines. (t (optimize-multiply 'x y)))) (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))) ;;; FIXME: we should also be able to write an optimizer or two to ;;; convert (+ (* x 2) 17), (- (* x 9) 5) to a %LEA.