X-Git-Url: http://repo.macrolet.net/gitweb/?a=blobdiff_plain;f=src%2Fcode%2Fnumbers.lisp;h=751b6f2c40b683405e58cafee738d9f762ff3ef3;hb=6cc71ab8ffad49f43895ad0a1df6885c81876687;hp=34ad585768b18edd4d9e60e711cbc120626a87d6;hpb=b0fab8a8c774f4e2921877c408ecca0b39d38676;p=sbcl.git diff --git a/src/code/numbers.lisp b/src/code/numbers.lisp index 34ad585..751b6f2 100644 --- a/src/code/numbers.lisp +++ b/src/code/numbers.lisp @@ -578,7 +578,7 @@ (numerator divisor)))) (values q (- number (* q divisor))))) ((fixnum bignum) - (values 0 number)) + (bignum-truncate (make-small-bignum number) divisor)) ((ratio (or float rational)) (let ((q (truncate (numerator number) (* (denominator number) divisor)))) @@ -654,19 +654,21 @@ (if (eql divisor 1) (round number) (multiple-value-bind (tru rem) (truncate number divisor) - (let ((thresh (/ (abs divisor) 2))) - (cond ((or (> rem thresh) - (and (= rem thresh) (oddp tru))) - (if (minusp divisor) - (values (- tru 1) (+ rem divisor)) - (values (+ tru 1) (- rem divisor)))) - ((let ((-thresh (- thresh))) - (or (< rem -thresh) - (and (= rem -thresh) (oddp tru)))) - (if (minusp divisor) - (values (+ tru 1) (- rem divisor)) - (values (- tru 1) (+ rem divisor)))) - (t (values tru rem))))))) + (if (zerop rem) + (values tru rem) + (let ((thresh (/ (abs divisor) 2))) + (cond ((or (> rem thresh) + (and (= rem thresh) (oddp tru))) + (if (minusp divisor) + (values (- tru 1) (+ rem divisor)) + (values (+ tru 1) (- rem divisor)))) + ((let ((-thresh (- thresh))) + (or (< rem -thresh) + (and (= rem -thresh) (oddp tru)))) + (if (minusp divisor) + (values (+ tru 1) (- rem divisor)) + (values (- tru 1) (+ rem divisor)))) + (t (values tru rem)))))))) (defun rem (number divisor) #!+sb-doc @@ -1006,8 +1008,9 @@ if INTEGER is negative." (etypecase integer (fixnum - (logcount (truly-the (integer 0 #.(max most-positive-fixnum - (lognot most-negative-fixnum))) + (logcount (truly-the (integer 0 + #.(max sb!xc:most-positive-fixnum + (lognot sb!xc:most-negative-fixnum))) (if (minusp (truly-the fixnum integer)) (lognot (truly-the fixnum integer)) integer)))) @@ -1022,7 +1025,12 @@ (defun logbitp (index integer) #!+sb-doc "Predicate returns T if bit index of integer is a 1." - (logbitp index integer)) + (number-dispatch ((index integer) (integer integer)) + ((fixnum fixnum) (if (> index #.(- sb!vm:n-word-bits sb!vm:n-lowtag-bits)) + (minusp integer) + (not (zerop (logand integer (ash 1 index)))))) + ((fixnum bignum) (bignum-logbitp index integer)) + ((bignum (foreach fixnum bignum)) (minusp integer)))) (defun ash (integer count) #!+sb-doc @@ -1261,7 +1269,20 @@ (defun two-arg-lcm (n m) (declare (integer n m)) - (* (truncate (max n m) (gcd n m)) (min n m))) + (if (or (zerop n) (zerop m)) + 0 + ;; KLUDGE: I'm going to assume that it was written this way + ;; originally for a reason. However, this is a somewhat + ;; complicated way of writing the algorithm in the CLHS page for + ;; LCM, and I don't know why. To be investigated. -- CSR, + ;; 2003-09-11 + (let ((m (abs m)) + (n (abs n))) + (multiple-value-bind (max min) + (if (> m n) + (values m n) + (values n m)) + (* (truncate max (gcd n m)) min))))) ;;; Do the GCD of two integer arguments. With fixnum arguments, we use the ;;; binary GCD algorithm from Knuth's seminumerical algorithms (slightly @@ -1269,8 +1290,8 @@ ;;; of 0 before the dispatch so that the bignum code doesn't have to worry ;;; about "small bignum" zeros. (defun two-arg-gcd (u v) - (cond ((eql u 0) v) - ((eql v 0) u) + (cond ((eql u 0) (abs v)) + ((eql v 0) (abs u)) (t (number-dispatch ((u integer) (v integer)) ((fixnum fixnum) @@ -1336,3 +1357,30 @@ (def minusp "Is this real number strictly negative?") (def oddp "Is this integer odd?") (def evenp "Is this integer even?")) + +;;;; modular functions +#. +(collect ((forms)) + (flet ((definition (name lambda-list width pattern) + ;; We rely on (SUBTYPEP `(UNSIGNED-BYTE ,WIDTH) + ;; 'BIGNUM-ELEMENT-TYPE) + `(defun ,name ,lambda-list + (flet ((prepare-argument (x) + (declare (integer x)) + (etypecase x + ((unsigned-byte ,width) x) + (bignum-element-type (logand x ,pattern)) + (fixnum (logand x ,pattern)) + (bignum (logand (%bignum-ref x 0) ,pattern))))) + (,name ,@(loop for arg in lambda-list + collect `(prepare-argument ,arg))))))) + (loop for infos being each hash-value of sb!c::*modular-funs* + ;; FIXME: We need to process only "toplevel" functions + unless (eq infos :good) + do (loop for info in infos + for name = (sb!c::modular-fun-info-name info) + and width = (sb!c::modular-fun-info-width info) + and lambda-list = (sb!c::modular-fun-info-lambda-list info) + for pattern = (1- (ash 1 width)) + do (forms (definition name lambda-list width pattern))))) + `(progn ,@(forms)))