;;; This is a Spice -*-Lisp-*- file. ;;; ********************************************************************** ;;; This code was written as part of the Spice Lisp project at ;;; Carnegie-Mellon University, and has been placed in the public domain. ;;; Spice Lisp is currently incomplete and under active development. ;;; If you want to use this code or any part of Spice Lisp, please contact ;;; Scott Fahlman (FAHLMAN@CMUC). ;;; ********************************************************************** ;;; ;;; Spice Lisp printer. ;;; Written by Neal Feinberg, Spice Lisp Group. ;;; Currently maintained by Skef Wholey. ;;; ;;; ******************************************************************* ;;; You cannot compile this file properly without having the defstruct for ;;; STREAM compiled first. Try compiling DEFSTREAM before compiling this ;;; file. (defvar *print-escape* T "Flag which indicates that slashification is on. See the manual") (defvar *print-pretty* () "Flag which indicates that pretty printing is to be used") (defvar *print-base* 10. "The output base for integers and rationals.") (defvar *print-radix* () "This flag requests to verify base when printing rationals.") (defvar *print-level* () "How many levels deep to print. Unlimited if null.") (defvar *print-length* () "How many elements to print on each level. Unlimited if null.") (defvar *print-circle* () "Whether to worry about circular list structures. See the manual.") (defvar *print-case* ':upcase "What kind of case the printer should use by default") (defvar previous-case () "What the previous case selection the printer was set to.") (defvar *print-array* () "Whether the array should print it's guts out") (defvar funny-symbol-char-table () "Table of boolean values indexed by charcode. The table is loaded at run time from funny-symbol-char-list by the PRINT-INIT function (q.v.)") (defvar funny-symbol-char-list '(#\( #\) #\# #\: #\, #\; #\' #\` #\\ #\" #\space #\tab #\return #\linefeed) "List of characters which when found in a symbol's name must be slashed if the symbol is printed by PRIN1 or PRINT.") ;; This variable contains the current definition of one of three symbol ;; printers. This variable is set by the various print function (PRINT, ;; PRINC, and PRIN1). (defvar internal-symbol-output-function ()) ;; Initialized by Print Init. (defvar print-string-stream () "Holds the string stream for the x-TO-STRING functions.") ;; Part of the floating point printing code (defvar *digit-string* () "Array of digits generated by FLONUM-TO-STRING") ;; Imported from reader (declare (special *read-default-float-format*)) ;; From the package system (declare (special *package* *keyword-package*)) ;; This macro returns code which maps over a string, binding VARIABLE to each ;; successive character in the string INIT-FORM, and executing BODY with ;; the variable so bound. This function used to be part of Common Lisp, but ;; is no more. It lives on in the printer, though. (defmacro dostring (varform &rest body) ;; Varform looks like (variable init-form terminate-form) (let ((variable (car varform)) (init-form (cadr varform)) (terminate-form (caddr varform))) `(do ((,variable) (index 0 (1+ index)) (terminate-index (length (the string ,init-form)))) ((= index terminate-index) ,terminate-form) (setq ,variable (char ,init-form index)) ,@body))) ;;; Print-Init. The printer initialization funtion. ;;; This function loads up the print table FUNNY-SYMBOL-CHAR-TABLE ;;; with either T or NIL, depending on whether or not the character in ;;; question requires a slash if it is printed by PRIN1 (or PRINT) and ;;; occurs in a symbol. Any other printer initialization should go here. ;;; This function is called at system startup time. Because the cold ;;; load can't do arbitrary Lispy things, this function is used to ;;; cons up the funny symbol char table and to cons up a printer ;;; string stream. (defun print-init () (setq *digit-string* (make-array 50 :element-type 'string-char :fill-pointer 0 :adjustable t)) (setq funny-symbol-char-table (make-vector char-code-limit :initial-element nil) print-string-stream (make-string-output-stream)) ;; Load up the table with the special syntax characters in FUNNY-SYMBOL-CHAR-LIST. (mapcar #'(lambda (char) (setf (svref funny-symbol-char-table (char-code char)) T)) funny-symbol-char-list) ;; Also, any lowercase characters in symbols are consider funny. (do ((index (char-code #\a) (1+ index))) ((> index (char-code #\z))) (setf (svref funny-symbol-char-table index) T))) (Declare (inline setup-printer-state)) ;; This function sets the internal global symbol ;; "internal-symbol-output-function" to the right function depending on ;; the value of *print-case*. See the manual for details. The print buffer ;; stream is also reset. (defun setup-printer-state () (unless (eq *standard-output* print-string-stream) (unless (eq *print-case* previous-case) (setq previous-case *print-case*) (setq internal-symbol-output-function (case *print-case* (:upcase #'output-uppercase-symbol) (:downcase #'output-lowercase-symbol) (:capitalize #'output-capitalize-symbol) (T (let ((bad-case *print-case*)) (setq *print-case* :upcase) (Error "Invalid *print-case* value: ~s" bad-case)))))))) ;;; Toplevel print functions (defun write (object &rest keywords) "Outputs OBJECT to the specified stream, defaulting to *standard-output*" (setup-printer-state) (with-keywords keywords ((:stream *standard-output* *standard-output*) (:escape *print-escape* *print-escape*) (:radix *print-radix* *print-radix*) (:base *print-base* *print-base*) (:circle *print-circle* *print-circle*) (:pretty *print-pretty* *print-pretty*) (:level *print-level* *print-level*) (:length *print-length* *print-length*) (:case *print-case* *print-case*) (:array *print-array* *print-array*)) (output-object object))) (defun prin1 (object &optional (*standard-output* *standard-output*)) "Outputs a mostly READable printed representation of OBJECT on the specified stream." (setup-printer-state) (let ((*print-escape* T)) (if *print-pretty* (output-pretty-object object) (output-object object))) object) (defun princ (object &optional (*standard-output* *standard-output*)) "Outputs an asthetic but not READable printed representation of OBJECT on the specified stream." (setup-printer-state) (let ((*print-escape* NIL)) (if *print-pretty* (output-pretty-object object) (output-object object))) object) (defun print (object &optional (*standard-output* *standard-output*)) "Outputs a terpri, the mostly READable printed represenation of OBJECT, and space to the stream." (terpri) (prin1 object) (write-char #\space *standard-output*) object) ;; STRINGIFY-OBJECT is an internal printer function produces the printed ;; representation of an object as a string. It is called by various x-TO-STRING ;; functions below. (defun stringify-object (object &optional (*print-escape* ())) (let ((*standard-output* print-string-stream)) (setup-printer-state) (output-object object 0) (get-output-stream-string *standard-output*))) ;;; Top-level x-TO=STRING functions. These functions all take an object ;;; and return that object's printed representation as a string. (defun write-to-string (object &rest keywords) "Returns the printed representation of OBJECT as a string." (with-keywords keywords ((:stream *standard-output* *standard-output*) (:escape *print-escape* *print-escape*) (:radix *print-radix* *print-radix*) (:base *print-base* *print-base*) (:circle *print-circle* *print-circle*) (:pretty *print-pretty* *print-pretty*) (:level *print-level* *print-level*) (:length *print-length* *print-length*) (:case *print-case* *print-case*) (:array *print-array* *print-array*)) (stringify-object object *print-escape*))) (defun prin1-to-string (object) "Returns the printed representation of OBJECT as a string with slashification on." (stringify-object object t)) (defun princ-to-string (object) "Returns the printed representation of OBJECT as a string with slashification off." (stringify-object object nil)) ;;; Central print functions. ;;; OUTPUT-OBJECT takes an object and outputs its printed representation to ;;; *STANDARD-OUTPUT*, which is typically bound the the internal print stream. ;;; This function is called recursively by the sub-functions which know how ;;; to print structures which can contain other lisp objects. (defun output-object (object &optional (currlevel 0)) "Outputs a string which is the printed representation of the given object." ;; First check and make sure we aren't too deep (cond ((and (not (null *print-level*)) (>= currlevel *print-level*)) (write-char #\#)) (T (typecase object (symbol (let ((package (symbol-package object))) (cond ;; If the symbol is in the keyword package, output a colon. ((eq package *keyword-package*) (write-char #\:)) ;; If the symbol is in the current package, output nothing. ((eq package *package*)) ;; Uninterned symbols print with a leading #:. ((null package) (write-string "#:")) (t (let* ((uses (package-use-list *package*)) (it (car (memq package uses)))) (cond ;; If the symbol is in a package used by *package*, but ;; it is not external, qualify it. (it (when (eql (gethash (symbol-name object) (package-external-symbols it) 0) 0) (write-string (package-name package)) (write-string "::"))) ;; If the symbol is external, :, else ::. (t (write-string (package-name package)) (if (gethash (symbol-name object) (package-external-symbols package)) (write-char #\:) (write-string "::")))))))) (funcall internal-symbol-output-function object)) ;; If a list, go through element by element, being careful ;; about not running over the printlength (list (output-list object (1+ currlevel))) (string (if *print-escape* (quote-string object) (write-string object))) (integer (output-integer object)) (float (output-float object)) (ratio (output-ratio object)) (structure (output-structure object currlevel)) (character (output-character object)) (vector (output-vector object)) (array (output-array object (1+ currlevel))) (t (output-random object))))) 'T) ;;; Symbol Printing Subfunctions (declare (inline funny-symbol-char-p)) (defun funny-symbol-char-p (char) "Determines whether or not the character should be proceded by a slash when outputing the printed representation of a symbol containing it." ;; Should really look at readtable, not quite ready for such ;; a feat so use optimized table lookup hack (svref funny-symbol-char-table (char-code char))) ;; This function is hooked into the variable internal-symbol-output-function ;; when the value of *print-case* is :upcase. If *print-escape* is NIL, just ;; output the symbol as is (just the way the reader set the print-name). ;; Otherwise just add slashes before the lowercase characters and any other ;; strange characters. (defun output-uppercase-symbol (symbol) (if *print-escape* (quote-symbol-uppercase (symbol-name symbol)) (write-string (symbol-name symbol)))) ;; This function is hooked into the variable internal-symbol-output-function ;; when the value of *print-case* is :downcase. If *print-escape* is NIL, ;; lowercase all the characters and output the symbol. If it is T, make sure ;; every character is lowercase, and slash those letters that already are. (defun output-lowercase-symbol (symbol) (if *print-escape* (quote-symbol-lowercase (symbol-name symbol)) (write-string (string-downcase (symbol-name symbol))))) ;; This function is hooked into the variable internal-symbol-output-function ;; when the value of *print-case* is :capitalize. If *print-escape* is NIL, ;; lowercase all the characters (except the first, leave that alone) and ;; output the symbol. If it is T, make sure every character is ;; lowercase (except the first), and slash those letters that already are. (defun output-capitalize-symbol (symbol) (if *print-escape* (quote-symbol-capitalize (symbol-name symbol)) (if (upper-case-p (char (symbol-name symbol) 0)) (write-string (string-capitalize (symbol-name symbol))) (write-string (string-downcase (symbol-name symbol)))))) (defmacro symbol-quote-char-p (char) "Determines whether or not the character is a symbol quoter." ;; Should really look at readtable, not ready yet for that. `(or (char= ,char #\\) (char= ,char #\|))) ;;; ;;; This function takes the pname of a symbol and adds slashes and/or ;;; vertical bars to it to make it readable again. ;;; Special quoting characters are currently vertical bar and slash who's ;;; role in life are to specially quote symbols. Funny symbol characters ;;; are those who need special slashification when they are to be printed ;;; so they can be read in again. These currently include such characters ;;; as hash signs, colons of various sorts, etc. ;;; Now there are three different version: UPPERCASE, lowercase and Captialize. ;;; Check out the manual under the entry for *print-case* for details. (defun quote-symbol-uppercase (pname) (declare (simple-string pname)) (let ((vertical-bar-flag (or (not (null (find-if #'funny-symbol-char-p pname))) (do ((index 0 (1+ index)) (length (length pname))) ((= index length) t) (if (not (digit-char-p (char pname index) *print-base*)) (return ())))))) ;;If we will be using vertical bars to quote instead slashes (if vertical-bar-flag (write-char #\|)) (dostring (char pname) ;;If it needs slashing, do it. (if (symbol-quote-char-p char) (write-char #\\)) (write-char char)) (if vertical-bar-flag (write-char #\|)))) ;; See documentation for quote-symbol-uppercase (above). (defun quote-symbol-lowercase (pname) (declare (simple-string pname)) (let ((vertical-bar-flag (or (not (null (find-if #'funny-symbol-char-p pname))) (do ((index 0 (1+ index)) (length (length pname))) ((= index length) t) (if (not (digit-char-p (char pname index) *print-base*)) (return ())))))) ;;If we will be using vertical bars to quote instead slashes (if vertical-bar-flag (write-char #\|)) (dostring (char pname) ;;If it needs slashing, do it. (if (symbol-quote-char-p char) (write-char #\\)) (write-char (char-downcase char))) (if vertical-bar-flag (write-char #\|)))) ;; See documentation for quote-symbol-uppercase (above). (defun quote-symbol-capitalize (pname) (declare (simple-string pname)) (let ((vertical-bar-flag (or (not (null (find-if #'funny-symbol-char-p pname))) (do ((index 0 (1+ index)) (length (length pname))) ((= index length) t) (if (not (digit-char-p (char pname index) *print-base*)) (return ())))))) ;;If we will be using vertical bars to quote instead slashes (if vertical-bar-flag (write-char #\|)) (do ((index 0 (1+ index)) (pname-length (length (the string pname)))) ((= index pname-length)) (let ((char (char pname index))) ;;If it needs slashing, do it. (if (symbol-quote-char-p char) (write-char #\\)) (write-char (if (= index 0) char (char-downcase char))))) (if vertical-bar-flag (write-char #\|)))) ;;; Recurisve Datatype Printing Subfunctions (defun output-list (list &optional (currlevel 0)) "Outputs the printed representation of a list." (write-char #\() (do ((list list (cdr list)) (currlength 0 (1+ currlength))) ;; Terminate when we've gotten to the end of the list, or we've printed ;; too much (according to *print-length*). ((or (null list) (and (not (null *print-length*)) (>= currlength *print-length*))) ;; If we've terminated but had more to print ;; we notify with ellipses (if (not (null list)) (write-string "...")) (write-char #\))) ;;If we are not printing the first object, we should space first. (if (> currlength 0) (write-char #\space)) ;;Print whatever the car of the list is, at this level. (output-object (car list) currlevel) ;; Check for the non-null terminated list. If present, print ;; " . )" and terminate printing of list. (cond ((not (or (consp (cdr list)) (null (cdr list)))) (write-string " . ") (output-object (cdr list) currlevel) (write-char #\)) (return ()))))) (defun output-vector (vector &optional (currlevel 0)) "Outputs the printed representation of a 1-D array." (cond ((not *print-array*) (output-terse-array vector currlevel)) (T (if (bit-vector-p vector) (write-string "#*") (write-string "#(")) (do ((currlength 0 (1+ currlength)) (vlength (length (the vector vector))) (not-bit-vector-p (not (bit-vector-p vector)))) ;;Terminate at end, or when too much has been output ((or (and (not (null *print-length*)) (>= currlength *print-length*)) (= currlength vlength)) (if (not (= currlength vlength)) (write-string "...")) (if not-bit-vector-p (write-char #\)))) ;;Put a space before every element except the first ;; and not in bit vectors. (if (and (> currlength 0) not-bit-vector-p) (write-char #\space)) ;;Output an element of the vector (output-object (aref vector currlength) currlevel))))) (defun output-array (array &optional (currlevel 0)) "Outputs the printed representation of any array in either the #< or #A form." (let ((rank (array-rank array))) (cond ((not *print-array*) (output-terse-array array rank)) (T (output-array-guts array rank currlevel))))) ;; Master function for outputing the #A form of an array (defun output-array-guts (array rank currlevel) (write-char #\#) (output-integer rank) (write-char #\A) (sub-output-array-guts (%primitive header-ref array %array-data-slot) (array-dimensions array) currlevel 0)) ;; Some Ideas stolen from Skef Wholey. ;; Helping function for above. (defun sub-output-array-guts (array dimensions currlevel index) (cond ((null dimensions) (output-object (%sp-svref array index) currlevel) (1+ index)) ((and (not (null *print-level*)) (>= currlevel *print-level*)) (write-char #\#) index) (T (write-char #\() (do ((index index) (times 0 (1+ times)) (limit (pop dimensions))) ((or (= times limit) (and (not (null *print-length*)) (= times *print-length*))) (if (not (= times limit)) (write-string "...)") (write-char #\))) index) (if (not (zerop times)) (write-char #\space)) (setq index (sub-output-array-guts array dimensions (1+ currlevel) index)) )))) ;; Used to output the #< form of any array. (defun output-terse-array (array rank) (write-string "#<") (cond ((vectorp array) (if (bit-vector-p array) (write-string "Bit-vector") (write-string "Vector"))) (T (write-string "Array, rank ") (output-integer rank))) (finish-random array)) ;;; Structure Printing. ;; *** For Spice Lisp Only *** ;;Returns code which fetches the name of a structure. If it is a vector ;;structure, the name is in slot zero. Otherwise it must be an ;;array structure, so look in slot six. (defmacro access-structure-name (structure) `(if (vectorp ,structure) (%sp-svref ,structure 0) (%sp-svref ,structure 6))) (defun output-structure (structure currlevel) (let* ((structure-name (access-structure-name structure)) (print-function (get structure-name 'structure-print)) (slot-names (defstruct-description-slot-numbers (get structure-name 'defstruct-description)))) ;;See if it likes printing it's own guts itself. ;;If it does, let it. (cond ((not (null print-function)) (funcall print-function structure *standard-output* currlevel)) ((vectorp structure) ;;Otherwise if a print function is not defined. (write-string "#S(") (output-object structure-name currlevel) (do ((index (if (simple-vector-p structure) 1 0) (1+ index)) (structure-length (length structure))) ((or (= index structure-length) (if (not (null *print-length*)) (= index *print-length*) nil)) (if (not (= index structure-length)) (write-string " ...)") (write-string ")"))) (write-char #\space) (output-object (car (rassoc index slot-names)) currlevel) (write-char #\space) (output-object (aref structure index) currlevel)))))) ;; Helping functions for printing strings. (defmacro funny-string-char-p (char) "Determines whether or not the character needs quoting in a string." ;; Should maybe look at readtable, not quite ready for such feat so ;; use hack. `(or (char= ,char #\\) (char= ,char #\"))) ;;; ;;; This function takes a string and slashifies it sufficiently so ;;; that if so that it may be read in again. ;;; Strategy: Put slash before all and only those characters which are ;;; either double-quote or backslash. ;;; (defun quote-string (string) "Quotes a string so that if printed, it could be read back in again." (write-char #\") (dostring (char string) (if (funny-string-char-p char) (write-char #\\)) (write-char char)) (write-char #\")) (defun whitespace-char-p (char) "Determines whether or not the character is considered whitespace." (or (char= char #\space) (char= char #\tab) (char= char #\return) (char= char #\linefeed))) ;;; Numerical Printer Functions. ;; Helping function for above that actually outputs the individual digits. (defun output-integer (integer) "This function outputs the printed representation of any integer" (cond ((not (and (fixnump *print-base*) (> *print-base* 1))) (let ((obase *print-base*)) (setq *print-base* 10.) (error "~A is not a reasonable value for *Print-Base*." obase))) ;; Otherwise print the base (T (cond ((and (not (= *print-base* 10.)) *print-radix*) ;; First print leading base information, if any. (write-char #\#) (write-char (case *print-base* (2. #\b) (8. #\o) (16. #\x) (T (let ((fixbase *print-base*) (*print-base* 10.) (*print-radix* ())) (sub-output-integer fixbase)) #\r))))) ;; Then output a minus sign if the number is negative, then output ;; the absolute value of the number. (cond ((bignump integer) (print-bignum integer)) ((< integer 0) (write-char #\-) (sub-output-integer (- integer))) (T (sub-output-integer integer))) ;; Print any trailing base information, if any. (if (and (= *print-base* 10.) *print-radix*) (write-char #\.))))) (defun sub-output-integer (integer) (let ((quotient) (remainder)) ;; Recurse until you have all the digits pushed on the stack. (if (not (zerop (multiple-value-setq (quotient remainder) (truncate integer *print-base*)))) (sub-output-integer quotient)) ;; Then as each recursive call unwinds, turn the digit (in remainder) ;; into a character and output the character. (write-char (int-char (if (and (> remainder 9.) (> *print-base* 10.)) (+ (char-int #\A) (- remainder 10.)) (+ (char-int #\0) remainder)))))) ;;; Outputs the printed representation of a ratio. (defun output-ratio (ratio) (output-integer (numerator ratio)) (write-char #\/) (output-integer (denominator ratio))) ;;; Bignum printing ;;; ;;; Written by Steven Handerson ;;; (based on Skef's idea) ;;; ;;; Uses the bignum-fixnum-divide-inplace function in spnum to do the ;;; division without consing a new bignum. ;;; We compute as large a possible base power for the in-place division. ;;; We need to copy the bignum anyway, so we either negate (hence copy) ;;; or copy. The auxiliary function uses fixnum printing. ;;; (declare (special *%base-power* *%base-power-1*)) (defun print-bignum (big) (let* ((copy (cond ((minusp big) (write-char #\-) (- big)) (t (copy-xnum big)))) (*%base-power* (do ((newbase (* *print-base* *print-base*) (* newbase *print-base*))) ((> (integer-length newbase) 19) (/ newbase *print-base*)))) (*%base-power-1* (/ *%base-power* *print-base*))) (bignum-print-aux copy) big)) ;;; The *%base-power-1* is needed to assure the printing of leading zeros ;;; in the parts of the bignum. (defun bignum-print-aux (big) (multiple-value-bind (newbig fix) (bignum-fixnum-divide-inplace big *%base-power*) (if (fixnump newbig) (sub-output-integer newbig) (bignum-print-aux newbig)) (do ((frob (logior *print-base* fix) (* frob *print-base*))) ;For zero. ((> frob *%base-power-1*) (sub-output-integer fix)) (write-char #\0)))) ;;;; Floating Point printing ;;; ;;; Written by Bill Maddox ;;; ;;; ;;; ;;; FLONUM-TO-STRING (and its subsidiary function FLOAT-STRING) does most of ;;; the work for all printing of floating point numbers in the printer and in ;;; FORMAT. It converts a floating point number to a string in a free or ;;; fixed format with no exponent. The interpretation of the arguments is as ;;; follows: ;;; ;;; X - The floating point number to convert, which must not be ;;; negative. ;;; WIDTH - The preferred field width, used to determine the number ;;; of fraction digits to produce if the FDIGITS parameter ;;; is unspecified or NIL. If the non-fraction digits and the ;;; decimal point alone exceed this width, no fraction digits ;;; will be produced unless a non-NIL value of FDIGITS has been ;;; specified. Field overflow is not considerd an error at this ;;; level. ;;; FDIGITS - The number of fractional digits to produce. Insignificant ;;; trailing zeroes may be introduced as needed. May be ;;; unspecified or NIL, in which case as many digits as possible ;;; are generated, subject to the constraint that there are no ;;; trailing zeroes. ;;; SCALE - If this parameter is specified or non-NIL, then the number ;;; printed is (* x (expt 10 scale)). This scaling is exact, ;;; and cannot lose precision. ;;; FMIN - This parameter, if specified or non-NIL, is the minimum ;;; number of fraction digits which will be produced, regardless ;;; of the value of WIDTH or FDIGITS. This feature is used by ;;; the ~E format directive to prevent complete loss of ;;; significance in the printed value due to a bogus choice of ;;; scale factor. ;;; ;;; Most of the optional arguments are for the benefit for FORMAT and are not ;;; used by the printer. ;;; ;;; Returns: ;;; (VALUES DIGIT-STRING DIGIT-LENGTH LEADING-POINT TRAILING-POINT DECPNT) ;;; where the results have the following interpretation: ;;; ;;; DIGIT-STRING - The decimal representation of X, with decimal point. ;;; DIGIT-LENGTH - The length of the string DIGIT-STRING. ;;; LEADING-POINT - True if the first character of DIGIT-STRING is the ;;; decimal point. ;;; TRAILING-POINT - True if the last character of DIGIT-STRING is the ;;; decimal point. ;;; POINT-POS - The position of the digit preceding the decimal ;;; point. Zero indicates point before first digit. ;;; ;;; WARNING: For efficiency, there is a single string object *digit-string* ;;; which is modified destructively and returned as the value of ;;; FLONUM-TO-STRING. Thus the returned value is not valid across multiple ;;; calls. ;;; ;;; NOTE: FLONUM-TO-STRING goes to a lot of trouble to guarantee accuracy. ;;; Specifically, the decimal number printed is the closest possible ;;; approximation to the true value of the binary number to be printed from ;;; among all decimal representations with the same number of digits. In ;;; free-format output, i.e. with the number of digits unconstrained, it is ;;; guaranteed that all the information is preserved, so that a properly- ;;; rounding reader can reconstruct the original binary number, bit-for-bit, ;;; from its printed decimal representation. Furthermore, only as many digits ;;; as necessary to satisfy this condition will be printed. ;;; ;;; ;;; FLOAT-STRING actually generates the digits for positive numbers. The ;;; algorithm is essentially that of algorithm Dragon4 in "How to Print ;;; Floating-Point Numbers Accurately" by Steele and White. The current ;;; (draft) version of this paper may be found in [CMUC]tradix.press. ;;; DO NOT EVEN THINK OF ATTEMPTING TO UNDERSTAND THIS CODE WITHOUT READING ;;; THE PAPER! (defvar *digits* "0123456789") ;;; The initialization of *digit-string* must be done in PRINT-INIT due ;;; to cold-loader lossage. ;(defvar *digit-string* ; (make-array 50 :element-type 'string-char :fill-pointer 0 :adjustable t)) (defun flonum-to-string (x &optional width fdigits scale fmin) (cond ((zerop x) ;;zero is a special case which float-string cannot handle (values "." 1 t t)) (t (setf (fill-pointer *digit-string*) 0) (multiple-value-bind (sig exp) (integer-decode-float x) (if (typep x 'short-float) ;;20 and 53 are the number of bits of information in the ;;significand, less sign, of a short float and a long float ;;respectively. (float-string sig exp 20 width fdigits scale fmin) (float-string sig exp 53 width fdigits scale fmin)))))) (defun float-string (fraction exponent precision width fdigits scale fmin) (let ((r fraction) (s 1) (m- 1) (m+ 1) (k 0) (digits 0) (decpnt 0) (cutoff nil) (roundup nil) u low high) ;;Represent fraction as r/s, error bounds as m+/s and m-/s. ;;Rational arithmetic avoids loss of precision in subsequent calculations. (cond ((> exponent 0) (setq r (ash fraction exponent)) (setq m- (ash 1 exponent)) (setq m+ m-)) ((< exponent 0) (setq s (ash 1 (- exponent))))) ;;adjust the error bounds m+ and m- for unequal gaps (when (= fraction (ash 1 precision)) (setq m+ (ash m+ 1)) (setq r (ash r 1)) (setq s (ash s 1))) ;;scale value by requested amount, and update error bounds (when scale (if (minusp scale) (let ((scale-factor (expt 10 (- scale)))) (setq s (* s scale-factor))) (let ((scale-factor (expt 10 scale))) (setq r (* r scale-factor)) (setq m+ (* m+ scale-factor)) (setq m- (* m- scale-factor))))) ;;scale r and s and compute initial k, the base 10 logarithm of r (do () ((>= r (ceiling s 10))) (decf k) (setq r (* r 10)) (setq m- (* m- 10)) (setq m+ (* m+ 10))) (do ()(nil) (do () ((< (+ (ash r 1) m+) (ash s 1))) (setq s (* s 10)) (incf k)) ;;determine number of fraction digits to generate (cond (fdigits ;;use specified number of fraction digits (setq cutoff (- fdigits)) ;;don't allow less than fmin fraction digits (if (and fmin (> cutoff (- fmin))) (setq cutoff (- fmin)))) (width ;;use as many fraction digits as width will permit ;;but force at least fmin digits even if width will be exceeded (if (< k 0) (setq cutoff (- 1 width)) (setq cutoff (1+ (- k width)))) (if (and fmin (> cutoff (- fmin))) (setq cutoff (- fmin))))) ;;If we decided to cut off digit generation before precision has ;;been exhausted, rounding the last digit may cause a carry propagation. ;;We can prevent this, preserving left-to-right digit generation, with ;;a few magical adjustments to m- and m+. Of course, correct rounding ;;is also preserved. (when (or fdigits width) (let ((a (- cutoff k)) (y s)) (if (>= a 0) (dotimes (i a) (setq y (* y 10))) (dotimes (i (- a)) (setq y (ceiling y 10)))) (setq m- (max y m-)) (setq m+ (max y m+)) (when (= m+ y) (setq roundup t)))) (when (< (+ (ash r 1) m+) (ash s 1)) (return))) ;;zero-fill before fraction if no integer part (when (< k 0) (setq decpnt digits) (vector-push-extend #\. *digit-string*) (dotimes (i (- k)) (incf digits) (vector-push-extend #\0 *digit-string*))) ;;generate the significant digits (do ()(nil) (decf k) (when (= k -1) (vector-push-extend #\. *digit-string*) (setq decpnt digits)) (multiple-value-setq (u r) (truncate (* r 10) s)) (setq m- (* m- 10)) (setq m+ (* m+ 10)) (setq low (< (ash r 1) m-)) (if roundup (setq high (>= (ash r 1) (- (ash s 1) m+))) (setq high (> (ash r 1) (- (ash s 1) m+)))) ;;stop when either precision is exhausted or we have printed as many ;;fraction digits as permitted (when (or low high (and cutoff (<= k cutoff))) (return)) (vector-push-extend (char *digits* u) *digit-string*) (incf digits)) ;;if cutoff occured before first digit, then no digits generated at all (when (or (not cutoff) (>= k cutoff)) ;;last digit may need rounding (vector-push-extend (char *digits* (cond ((and low (not high)) u) ((and high (not low)) (1+ u)) (t (if (<= (ash r 1) s) u (1+ u))))) *digit-string*) (incf digits)) ;;zero-fill after integer part if no fraction (when (>= k 0) (dotimes (i k) (incf digits) (vector-push-extend #\0 *digit-string*)) (vector-push-extend #\. *digit-string*) (setq decpnt digits)) ;;add trailing zeroes to pad fraction if fdigits specified (when fdigits (dotimes (i (- fdigits (- digits decpnt))) (incf digits) (vector-push-extend #\0 *digit-string*))) ;;all done (values *digit-string* (1+ digits) (= decpnt 0) (= decpnt digits) decpnt))) ;;; Given a non-negative floating point number, SCALE-EXPONENT returns a ;;; new floating point number Z in the range (0.1, 1.0] and and exponent ;;; E such that Z * 10^E is (approximately) equal to the original number. ;;; There may be some loss of precision due the floating point representation. (defconstant short-log10-of-2 0.30103s0) ;;; Nuke contstant properties on long float constants so Genesis doesn't ;;; choke. (eval-when (compile) (remprop '%long-float-ten '%constant) (remprop '%long-float-one-tenth '%constant) (remprop 'long-log10-of-2 '%constant)) (defun scale-exponent (x) (if (typep x 'short-float) (scale-expt-aux x 0.0s0 1.0s0 1.0s1 1.0s-1 short-log10-of-2) (scale-expt-aux x (%sp-l-float 0) (%sp-l-float 1) %long-float-ten %long-float-one-tenth long-log10-of-2))) (defun scale-expt-aux (x zero one ten one-tenth log10-of-2) (multiple-value-bind (sig exponent) (decode-float x) (if (= x zero) (values zero 1) (let* ((e (round (* exponent log10-of-2))) (x (if (minusp e) ;For the end ranges. (* x ten (expt ten (- -1 e))) (/ x ten (expt ten (1- e)))))) (do ((d ten (* d ten)) (y x (/ x d)) (e e (1+ e))) ((< y one) (do ((m ten (* m ten)) (z y (* z m)) (e e (1- e))) ((>= z one-tenth) (values z e))))))))) ;;; Entry point for the float printer as called by PRINT, PRIN1, PRINC, ;;; etc. The argument is printed free-format, in either exponential or ;;; non-exponential notation, depending on its magnitude. ;;; ;;; NOTE: When a number is to be printed in exponential format, it is scaled ;;; in floating point. Since precision may be lost in this process, the ;;; guaranteed accuracy properties of FLONUM-TO-STRING are lost. The ;;; difficulty is that FLONUM-TO-STRING performs extensive computations with ;;; integers of similar magnitude to that of the number being printed. For ;;; large exponents, the bignums really get out of hand. When we switch to ;;; IEEE format for long floats, this will significantly restrict the magnitude ;;; of the largest allowable float. This combined with microcoded bignum ;;; arithmetic might make it attractive to handle exponential notation with ;;; the same accuracy as non-exponential notation, using the method described ;;; in the Steele and White paper. (eval-when (compile) (remprop '%long-float1l-3 '%constant) (remprop '%long-float1l7 '%constant)) (defun output-float (x) (if (typep x 'short-float) (output-float-aux x 1.0s-3 1.0s7) (output-float-aux x %long-float1l-3 %long-float1l7))) (defun output-float-aux (x e-min e-max) (cond ((zerop x) (write-string "0.0") (if (not (typep x *read-default-float-format*)) (write-string (if (typep x 'short-float) "s0" "L0")))) (t (when (minusp x) (write-char #\-) (setq x (- x))) (if (and (>= x e-min) (< x e-max)) ;;free format (multiple-value-bind (str len lpoint tpoint) (flonum-to-string x) (when lpoint (write-char #\0)) (write-string str) (when tpoint (write-char #\0)) (if (not (typep x *read-default-float-format*)) (write-string (if (typep x 'short-float) "s0" "L0")))) ;;exponential format (multiple-value-bind (f e) (scale-exponent x) (multiple-value-bind (str len lpoint tpoint) (flonum-to-string f nil nil 1) (when lpoint (write-char #\0)) (write-string str) (when tpoint (write-char #\0)) (write-char (if (typep x *read-default-float-format*) #\E (if (typep x 'short-float) #\S #\L))) ;;must subtract 1 from exponent here, due to ;;the scale factor of 1 in call to FLONUM-TO-STRING (unless (minusp (1- e)) (write-char #\+)) (output-integer (1- e)))))))) ;;; Character Printing Subfunctions. (defun if-bit (char name) (if (char-bit char name) (concatenate 'simple-string (the simple-string (symbol-name name)) "-") "")) ;; NAME-BITS produces a string naming the bits on in the given character. (defun name-bits (char) (concatenate 'simple-string (if-bit char :CONTROL) (if-bit char :META) (if-bit char :HYPER) (if-bit char :SUPER))) ;; FUNNY-CHARACTER-CHAR-P returns a predicate which determines whether a ;; character must be slashified when being output. (defmacro funny-character-char-p (char) `(and *print-escape* (not (zerop (char-bits ,char))) (or (funny-symbol-char-p ,char) (lower-case-p ,char)))) (defun output-character (char) "Outputs the printed represenation of the given character." (cond ((not *print-escape*) (write-char char)) (T ;; If we are PRIN1ing output a hash prefix for character ;; with proper slash... (write-string "#\\") ;; Write out the names of any bits this guy has... (write-string (name-bits char)) (let* ((char (code-char (char-code char))) (name (char-name char))) ;; If he's got a name, print that. (cond (name (write-string name)) ;; Otherwise print the character maybe slashifying. (t (if (funny-character-char-p char) (write-char #\\)) (write-char char))))))) ;;; Random and Misc. Print Subfunctions ;;For Spice Lisp Only! Change these functions for other implementations ;; [access-subr-name, misc-type?, misc-type-code] ;; Returns the name of a subr as a string. (defmacro access-subr-name (object) `(symbol-name (%primitive header-ref ,object %function-name-slot))) ;; Produces code which returns T iff the argument is of misc type (defmacro misc-type? (object) `(= (%sp-type ,object) %misc-type)) ;; Returns the name of the subtype of a misc-typed object. (defun misc-type-code (object) (declare (ignore object)) "Type 0 object") ;;; OUTPUT-FUNCTION-OBJECT outputs the main part of the printed ;;; representation of function objects. It is called from OUTPUT-RANDOM ;;; below. (defun output-function-object (subr) (write-string "Function ") (write-string (access-subr-name subr))) ;;; FINISH-RANDOM is a helping function for OUTPUT-RANDOM below. ;;; It outputs the numerical value of the low 28 bits of ;;; RANDOM-OBJECT, enclosed in braces, followed by the closing ;;; angle-bracket (">") random objects have at the end. This ;;; is used to distringuish random objects of the same type. (defun finish-random (random-object) (write-string " {") (output-integer (%sp-make-fixnum random-object)) (write-string "}>")) ;;; Functions Objects and other implmentation specific objects ;;; are output here. (defun output-random (object) (write-string "#<") (cond ((functionp object) (output-function-object object)) ((misc-type? object) (write-string (misc-type-code object))) (t (write-string "Pointer into Hell, level ") (output-integer (%sp-type object)))) (finish-random object))