(or (null min) (minusp min))))
(values nil t t)))
+;;; See _Hacker's Delight_, Henry S. Warren, Jr. pp 58-63 for an
+;;; explanation of LOG{AND,IOR,XOR}-DERIVE-UNSIGNED-{LOW,HIGH}-BOUND.
+;;; Credit also goes to Raymond Toy for writing (and debugging!) similar
+;;; versions in CMUCL, from which these functions copy liberally.
+
+(defun logand-derive-unsigned-low-bound (x y)
+ (let ((a (numeric-type-low x))
+ (b (numeric-type-high x))
+ (c (numeric-type-low y))
+ (d (numeric-type-high y)))
+ (loop for m = (ash 1 (integer-length (lognor a c))) then (ash m -1)
+ until (zerop m) do
+ (unless (zerop (logand m (lognot a) (lognot c)))
+ (let ((temp (logandc2 (logior a m) (1- m))))
+ (when (<= temp b)
+ (setf a temp)
+ (loop-finish))
+ (setf temp (logandc2 (logior c m) (1- m)))
+ (when (<= temp d)
+ (setf c temp)
+ (loop-finish))))
+ finally (return (logand a c)))))
+
+(defun logand-derive-unsigned-high-bound (x y)
+ (let ((a (numeric-type-low x))
+ (b (numeric-type-high x))
+ (c (numeric-type-low y))
+ (d (numeric-type-high y)))
+ (loop for m = (ash 1 (integer-length (logxor b d))) then (ash m -1)
+ until (zerop m) do
+ (cond
+ ((not (zerop (logand b (lognot d) m)))
+ (let ((temp (logior (logandc2 b m) (1- m))))
+ (when (>= temp a)
+ (setf b temp)
+ (loop-finish))))
+ ((not (zerop (logand (lognot b) d m)))
+ (let ((temp (logior (logandc2 d m) (1- m))))
+ (when (>= temp c)
+ (setf d temp)
+ (loop-finish)))))
+ finally (return (logand b d)))))
+
(defun logand-derive-type-aux (x y &optional same-leaf)
(when same-leaf
(return-from logand-derive-type-aux x))
((null y-len)
(specifier-type `(unsigned-byte* ,x-len)))
(t
- (specifier-type `(unsigned-byte* ,(min x-len y-len)))))
+ (let ((low (logand-derive-unsigned-low-bound x y))
+ (high (logand-derive-unsigned-high-bound x y)))
+ (specifier-type `(integer ,low ,high)))))
;; X is positive, but Y might be negative.
(cond ((null x-len)
(specifier-type 'unsigned-byte))
;; We can't tell squat about the result.
(specifier-type 'integer)))))))
+(defun logior-derive-unsigned-low-bound (x y)
+ (let ((a (numeric-type-low x))
+ (b (numeric-type-high x))
+ (c (numeric-type-low y))
+ (d (numeric-type-high y)))
+ (loop for m = (ash 1 (integer-length (logxor a c))) then (ash m -1)
+ until (zerop m) do
+ (cond
+ ((not (zerop (logandc2 (logand c m) a)))
+ (let ((temp (logand (logior a m) (1+ (lognot m)))))
+ (when (<= temp b)
+ (setf a temp)
+ (loop-finish))))
+ ((not (zerop (logandc2 (logand a m) c)))
+ (let ((temp (logand (logior c m) (1+ (lognot m)))))
+ (when (<= temp d)
+ (setf c temp)
+ (loop-finish)))))
+ finally (return (logior a c)))))
+
+(defun logior-derive-unsigned-high-bound (x y)
+ (let ((a (numeric-type-low x))
+ (b (numeric-type-high x))
+ (c (numeric-type-low y))
+ (d (numeric-type-high y)))
+ (loop for m = (ash 1 (integer-length (logand b d))) then (ash m -1)
+ until (zerop m) do
+ (unless (zerop (logand b d m))
+ (let ((temp (logior (- b m) (1- m))))
+ (when (>= temp a)
+ (setf b temp)
+ (loop-finish))
+ (setf temp (logior (- d m) (1- m)))
+ (when (>= temp c)
+ (setf d temp)
+ (loop-finish))))
+ finally (return (logior b d)))))
+
(defun logior-derive-type-aux (x y &optional same-leaf)
(when same-leaf
(return-from logior-derive-type-aux x))
(cond
((and (not x-neg) (not y-neg))
;; Both are positive.
- (specifier-type `(unsigned-byte* ,(if (and x-len y-len)
- (max x-len y-len)
- '*))))
+ (if (and x-len y-len)
+ (let ((low (logior-derive-unsigned-low-bound x y))
+ (high (logior-derive-unsigned-high-bound x y)))
+ (specifier-type `(integer ,low ,high)))
+ (specifier-type `(unsigned-byte* *))))
((not x-pos)
;; X must be negative.
(if (not y-pos)
;; Unbounded.
(specifier-type 'integer))))))))
+(defun logxor-derive-unsigned-low-bound (x y)
+ (let ((a (numeric-type-low x))
+ (b (numeric-type-high x))
+ (c (numeric-type-low y))
+ (d (numeric-type-high y)))
+ (loop for m = (ash 1 (integer-length (logxor a c))) then (ash m -1)
+ until (zerop m) do
+ (cond
+ ((not (zerop (logandc2 (logand c m) a)))
+ (let ((temp (logand (logior a m)
+ (1+ (lognot m)))))
+ (when (<= temp b)
+ (setf a temp))))
+ ((not (zerop (logandc2 (logand a m) c)))
+ (let ((temp (logand (logior c m)
+ (1+ (lognot m)))))
+ (when (<= temp d)
+ (setf c temp)))))
+ finally (return (logxor a c)))))
+
+(defun logxor-derive-unsigned-high-bound (x y)
+ (let ((a (numeric-type-low x))
+ (b (numeric-type-high x))
+ (c (numeric-type-low y))
+ (d (numeric-type-high y)))
+ (loop for m = (ash 1 (integer-length (logand b d))) then (ash m -1)
+ until (zerop m) do
+ (unless (zerop (logand b d m))
+ (let ((temp (logior (- b m) (1- m))))
+ (cond
+ ((>= temp a) (setf b temp))
+ (t (let ((temp (logior (- d m) (1- m))))
+ (when (>= temp c)
+ (setf d temp)))))))
+ finally (return (logxor b d)))))
+
(defun logxor-derive-type-aux (x y &optional same-leaf)
(when same-leaf
(return-from logxor-derive-type-aux (specifier-type '(eql 0))))
(multiple-value-bind (x-len x-pos x-neg) (integer-type-length x)
(multiple-value-bind (y-len y-pos y-neg) (integer-type-length y)
(cond
- ((or (and (not x-neg) (not y-neg))
- (and (not x-pos) (not y-pos)))
- ;; Either both are negative or both are positive. The result
- ;; will be positive, and as long as the longer.
- (specifier-type `(unsigned-byte* ,(if (and x-len y-len)
- (max x-len y-len)
- '*))))
- ((or (and (not x-pos) (not y-neg))
- (and (not y-pos) (not x-neg)))
- ;; Either X is negative and Y is positive or vice-versa. The
- ;; result will be negative.
- (specifier-type `(integer ,(if (and x-len y-len)
- (ash -1 (max x-len y-len))
- '*)
- -1)))
- ;; We can't tell what the sign of the result is going to be.
- ;; All we know is that we don't create new bits.
- ((and x-len y-len)
- (specifier-type `(signed-byte ,(1+ (max x-len y-len)))))
- (t
- (specifier-type 'integer))))))
+ ((and (not x-neg) (not y-neg))
+ ;; Both are positive
+ (if (and x-len y-len)
+ (let ((low (logxor-derive-unsigned-low-bound x y))
+ (high (logxor-derive-unsigned-high-bound x y)))
+ (specifier-type `(integer ,low ,high)))
+ (specifier-type '(unsigned-byte* *))))
+ ((and (not x-pos) (not y-pos))
+ ;; Both are negative. The result will be positive, and as long
+ ;; as the longer.
+ (specifier-type `(unsigned-byte* ,(if (and x-len y-len)
+ (max x-len y-len)
+ '*))))
+ ((or (and (not x-pos) (not y-neg))
+ (and (not y-pos) (not x-neg)))
+ ;; Either X is negative and Y is positive or vice-versa. The
+ ;; result will be negative.
+ (specifier-type `(integer ,(if (and x-len y-len)
+ (ash -1 (max x-len y-len))
+ '*)
+ -1)))
+ ;; We can't tell what the sign of the result is going to be.
+ ;; All we know is that we don't create new bits.
+ ((and x-len y-len)
+ (specifier-type `(signed-byte ,(1+ (max x-len y-len)))))
+ (t
+ (specifier-type 'integer))))))
(macrolet ((deffrob (logfun)
(let ((fun-aux (symbolicate logfun "-DERIVE-TYPE-AUX")))
`(let ((mask (ash (ldb (byte size 0) -1) posn)))
(logior (logand new mask)
(logand int (lognot mask)))))
+
+(defoptimizer (mask-signed-field derive-type) ((size x))
+ (let ((size (lvar-type size)))
+ (if (numeric-type-p size)
+ (let ((size-high (numeric-type-high size)))
+ (if (and size-high (<= 1 size-high sb!vm:n-word-bits))
+ (specifier-type `(signed-byte ,size-high))
+ *universal-type*))
+ *universal-type*)))
+
\f
;;; Modular functions
;;;
;;; and similar for other arguments.
+(defun make-modular-fun-type-deriver (prototype class width)
+ #!-sb-fluid
+ (binding* ((info (info :function :info prototype) :exit-if-null)
+ (fun (fun-info-derive-type info) :exit-if-null)
+ (mask-type (specifier-type
+ (ecase class
+ (:unsigned (let ((mask (1- (ash 1 width))))
+ `(integer ,mask ,mask)))
+ (:signed `(signed-byte ,width))))))
+ (lambda (call)
+ (let ((res (funcall fun call)))
+ (when res
+ (if (eq class :unsigned)
+ (logand-derive-type-aux res mask-type))))))
+ #!+sb-fluid
+ (lambda (call)
+ (binding* ((info (info :function :info prototype) :exit-if-null)
+ (fun (fun-info-derive-type info) :exit-if-null)
+ (res (funcall fun call) :exit-if-null)
+ (mask-type (specifier-type
+ (ecase class
+ (:unsigned (let ((mask (1- (ash 1 width))))
+ `(integer ,mask ,mask)))
+ (:signed `(signed-byte ,width))))))
+ (if (eq class :unsigned)
+ (logand-derive-type-aux res mask-type)))))
+
;;; Try to recursively cut all uses of LVAR to WIDTH bits.
;;;
;;; For good functions, we just recursively cut arguments; their
;;; modular version, if it exists, or NIL. If we have changed
;;; anything, we need to flush old derived types, because they have
;;; nothing in common with the new code.
-(defun cut-to-width (lvar width)
+(defun cut-to-width (lvar class width)
(declare (type lvar lvar) (type (integer 0) width))
- (labels ((reoptimize-node (node name)
- (setf (node-derived-type node)
- (fun-type-returns
- (info :function :type name)))
- (setf (lvar-%derived-type (node-lvar node)) nil)
- (setf (node-reoptimize node) t)
- (setf (block-reoptimize (node-block node)) t)
- (setf (component-reoptimize (node-component node)) t))
- (cut-node (node &aux did-something)
- (when (and (not (block-delete-p (node-block node)))
- (combination-p node)
- (eq (basic-combination-kind node) :known))
- (let* ((fun-ref (lvar-use (combination-fun node)))
- (fun-name (leaf-source-name (ref-leaf fun-ref)))
- (modular-fun (find-modular-version fun-name width)))
- (when (and modular-fun
- (not (and (eq fun-name 'logand)
- (csubtypep
- (single-value-type (node-derived-type node))
- (specifier-type `(unsigned-byte* ,width))))))
- (binding* ((name (etypecase modular-fun
- ((eql :good) fun-name)
- (modular-fun-info
- (modular-fun-info-name modular-fun))
- (function
- (funcall modular-fun node width)))
- :exit-if-null))
- (unless (eql modular-fun :good)
- (setq did-something t)
- (change-ref-leaf
- fun-ref
- (find-free-fun name "in a strange place"))
- (setf (combination-kind node) :full))
- (unless (functionp modular-fun)
- (dolist (arg (basic-combination-args node))
- (when (cut-lvar arg)
- (setq did-something t))))
- (when did-something
- (reoptimize-node node name))
- did-something)))))
- (cut-lvar (lvar &aux did-something)
- (do-uses (node lvar)
- (when (cut-node node)
- (setq did-something t)))
- did-something))
- (cut-lvar lvar)))
+ (let ((type (specifier-type (if (zerop width)
+ '(eql 0)
+ `(,(ecase class (:unsigned 'unsigned-byte)
+ (:signed 'signed-byte))
+ ,width)))))
+ (labels ((reoptimize-node (node name)
+ (setf (node-derived-type node)
+ (fun-type-returns
+ (info :function :type name)))
+ (setf (lvar-%derived-type (node-lvar node)) nil)
+ (setf (node-reoptimize node) t)
+ (setf (block-reoptimize (node-block node)) t)
+ (reoptimize-component (node-component node) :maybe))
+ (cut-node (node &aux did-something)
+ (when (and (not (block-delete-p (node-block node)))
+ (combination-p node)
+ (eq (basic-combination-kind node) :known))
+ (let* ((fun-ref (lvar-use (combination-fun node)))
+ (fun-name (leaf-source-name (ref-leaf fun-ref)))
+ (modular-fun (find-modular-version fun-name class width)))
+ (when (and modular-fun
+ (not (and (eq fun-name 'logand)
+ (csubtypep
+ (single-value-type (node-derived-type node))
+ type))))
+ (binding* ((name (etypecase modular-fun
+ ((eql :good) fun-name)
+ (modular-fun-info
+ (modular-fun-info-name modular-fun))
+ (function
+ (funcall modular-fun node width)))
+ :exit-if-null))
+ (unless (eql modular-fun :good)
+ (setq did-something t)
+ (change-ref-leaf
+ fun-ref
+ (find-free-fun name "in a strange place"))
+ (setf (combination-kind node) :full))
+ (unless (functionp modular-fun)
+ (dolist (arg (basic-combination-args node))
+ (when (cut-lvar arg)
+ (setq did-something t))))
+ (when did-something
+ (reoptimize-node node name))
+ did-something)))))
+ (cut-lvar (lvar &aux did-something)
+ (do-uses (node lvar)
+ (when (cut-node node)
+ (setq did-something t)))
+ did-something))
+ (cut-lvar lvar))))
(defoptimizer (logand optimizer) ((x y) node)
(let ((result-type (single-value-type (node-derived-type node))))
(>= low 0))
(let ((width (integer-length high)))
(when (some (lambda (x) (<= width x))
- *modular-funs-widths*)
+ (modular-class-widths *unsigned-modular-class*))
;; FIXME: This should be (CUT-TO-WIDTH NODE WIDTH).
- (cut-to-width x width)
- (cut-to-width y width)
+ (cut-to-width x :unsigned width)
+ (cut-to-width y :unsigned width)
+ nil ; After fixing above, replace with T.
+ )))))))
+
+(defoptimizer (mask-signed-field optimizer) ((width x) node)
+ (let ((result-type (single-value-type (node-derived-type node))))
+ (when (numeric-type-p result-type)
+ (let ((low (numeric-type-low result-type))
+ (high (numeric-type-high result-type)))
+ (when (and (numberp low) (numberp high))
+ (let ((width (max (integer-length high) (integer-length low))))
+ (when (some (lambda (x) (<= width x))
+ (modular-class-widths *signed-modular-class*))
+ ;; FIXME: This should be (CUT-TO-WIDTH NODE WIDTH).
+ (cut-to-width x :signed width)
nil ; After fixing above, replace with T.
)))))))
\f
(give-up-ir1-transform))
'x))
+(deftransform mask-signed-field ((size x) ((constant-arg t) *) *)
+ "fold identity operation"
+ (let ((size (lvar-value size)))
+ (unless (csubtypep (lvar-type x) (specifier-type `(signed-byte ,size)))
+ (give-up-ir1-transform))
+ 'x))
+
;;; These are restricted to rationals, because (- 0 0.0) is 0.0, not -0.0, and
;;; (* 0 -4.0) is -0.0.
(deftransform - ((x y) ((constant-arg (member 0)) rational) *)
\f
;;;; character operations
-(deftransform char-equal ((a b)
- ((character-set ((0 . 255)))
- (character-set ((0 . 255)))))
+(deftransform char-equal ((a b) (base-char base-char))
"open code"
'(let* ((ac (char-code a))
(bc (char-code b))
(and (> sum 415) (< sum 461))
(and (> sum 463) (< sum 477))))))))
-(deftransform char-upcase ((x) ((character-set ((0 . 255)))))
+(deftransform char-upcase ((x) (base-char))
"open code"
'(let ((n-code (char-code x)))
(if (or (and (> n-code #o140) ; Octal 141 is #\a.
(code-char (logxor #x20 n-code))
x)))
-(deftransform char-downcase ((x) ((character-set ((0 . 255)))))
+(deftransform char-downcase ((x) (base-char))
"open code"
'(let ((n-code (char-code x)))
(if (or (and (> n-code 64) ; 65 is #\A.
;;; -- If both args are characters, convert to CHAR=. This is better than
;;; just converting to EQ, since CHAR= may have special compilation
;;; strategies for non-standard representations, etc.
-;;; -- If either arg is definitely not a number, then we can compare
-;;; with EQ.
+;;; -- If either arg is definitely a fixnum we punt and let the backend
+;;; deal with it.
+;;; -- If either arg is definitely not a number or a fixnum, then we
+;;; can compare with EQ.
;;; -- Otherwise, we try to put the arg we know more about second. If X
;;; is constant then we put it second. If X is a subtype of Y, we put
;;; it second. These rules make it easier for the back end to match
;;; these interesting cases.
-;;; -- If Y is a fixnum, then we quietly pass because the back end can
-;;; handle that case, otherwise give an efficiency note.
(deftransform eql ((x y) * *)
"convert to simpler equality predicate"
(let ((x-type (lvar-type x))
(y-type (lvar-type y))
- (char-type (specifier-type 'character))
- (number-type (specifier-type 'number)))
- (cond
- ((same-leaf-ref-p x y) t)
- ((not (types-equal-or-intersect x-type y-type))
- nil)
- ((and (csubtypep x-type char-type)
- (csubtypep y-type char-type))
- '(char= x y))
- ((or (not (types-equal-or-intersect x-type number-type))
- (not (types-equal-or-intersect y-type number-type)))
- '(eq x y))
- ((and (not (constant-lvar-p y))
- (or (constant-lvar-p x)
- (and (csubtypep x-type y-type)
- (not (csubtypep y-type x-type)))))
- '(eql y x))
- (t
- (give-up-ir1-transform)))))
+ (char-type (specifier-type 'character)))
+ (flet ((simple-type-p (type)
+ (csubtypep type (specifier-type '(or fixnum (not number)))))
+ (fixnum-type-p (type)
+ (csubtypep type (specifier-type 'fixnum))))
+ (cond
+ ((same-leaf-ref-p x y) t)
+ ((not (types-equal-or-intersect x-type y-type))
+ nil)
+ ((and (csubtypep x-type char-type)
+ (csubtypep y-type char-type))
+ '(char= x y))
+ ((or (fixnum-type-p x-type) (fixnum-type-p y-type))
+ (give-up-ir1-transform))
+ ((or (simple-type-p x-type) (simple-type-p y-type))
+ '(eq x y))
+ ((and (not (constant-lvar-p y))
+ (or (constant-lvar-p x)
+ (and (csubtypep x-type y-type)
+ (not (csubtypep y-type x-type)))))
+ '(eql y x))
+ (t
+ (give-up-ir1-transform))))))
;;; similarly to the EQL transform above, we attempt to constant-fold
;;; or convert to a simpler predicate: mostly we have to be careful
-;;; with strings.
+;;; with strings and bit-vectors.
(deftransform equal ((x y) * *)
"convert to simpler equality predicate"
(let ((x-type (lvar-type x))
(y-type (lvar-type y))
- (string-type (specifier-type 'string)))
+ (string-type (specifier-type 'string))
+ (bit-vector-type (specifier-type 'bit-vector)))
(cond
((same-leaf-ref-p x y) t)
((and (csubtypep x-type string-type)
(csubtypep y-type string-type))
'(string= x y))
- ((and (or (not (types-equal-or-intersect x-type string-type))
- (not (types-equal-or-intersect y-type string-type)))
+ ((and (csubtypep x-type bit-vector-type)
+ (csubtypep y-type bit-vector-type))
+ '(bit-vector-= x y))
+ ;; if at least one is not a string, and at least one is not a
+ ;; bit-vector, then we can reason from types.
+ ((and (not (and (types-equal-or-intersect x-type string-type)
+ (types-equal-or-intersect y-type string-type)))
+ (not (and (types-equal-or-intersect x-type bit-vector-type)
+ (types-equal-or-intersect y-type bit-vector-type)))
(not (types-equal-or-intersect x-type y-type)))
nil)
(t (give-up-ir1-transform)))))