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|
;;;;
;;;; ~*~ PRINTF ~*~
;;;;
;;;; formatted printing to character stream
;;;;
;;;; Version : 3.0 (march 2008)
;;;; Copyright : 2005-2008 Volker van Nek
;;;; Licence : GPL2
;;;;
;;;; Test file : rtestprintf.mac (lots of examples)
;;;; Documentation : stringproc.texi (will be updated soon)
;;;;
;; `$printf' is based on the Lisp function `format'.
;; Version 3.0 of `$printf' now allows to format bigfloat numbers.
;;
;; Before passing to `format' ctrls and args are both visited and modified:
;; functions `prepare-args' and `prepare-ctrls':
;; `prepare-ctrls' replaces the here introduced bigfloat directive ~w,d,e,x,o,p@h by ~@a
;; and `prepare-args' replaces the corresponding bigfloat argument by a string.
;; As a consequence of this no arg can be used twice. The *-directive (goto) seems lost.
;; In addition: Args which are passed to d,f,e,g or h-directives are converted to that type.
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(in-package :maxima)
;; new implementation of formerly src/plot.lisp/$sprint in stringproc/printf.lisp
;; as a simple wrapper for printf(true,"~@{~a ~}",x,y,z,...)
;; keeping the original return value: the first argument resp. false
;;
(defun $sprint (&rest args)
(loop for v in args do
($printf t "~a " v))
(car args))
;;
;;
(defun $printf (stream ctrls &rest args)
(cond ((and (not (member stream '(t nil))) (not (streamp stream)))
(merror "printf: first argument must be `true', `false' or a stream."))
((not (stringp ctrls))
(merror "printf: second argument must be a string.")))
(let (body)
(setq args (prepare-args ctrls args nil))
(setq body (mapcar #'(lambda (x) (if (listp x) `(quote ,x) x)) args))
(setq ctrls (prepare-ctrls ctrls))
(eval `(format ,stream ,ctrls ,@body)) ))
;;
;;
;;
(defun prepare-args (ctrls todo done &optional (loop nil))
(let ((start 0) pos1 pos2 pos1a
params spec subctrls
(skip 0) (loops nil) (index 0))
(do ((arg (car todo)))
((null todo)
(progn
(setq pos1 (search "~" ctrls :start2 start))
(if pos1
(progn
(setq pos2 (spec-position ctrls pos1))
(setq spec (subseq ctrls (1- pos2) pos2)) ))
(if (and (zerop skip) (or (not pos1) (search spec "^{}[]<>%;&~tpTP
")));; newline possible spec
(reverse done)
(merror "printf: arguments exhausted."))))
(prog ()
tag1
;; recognize the directive:
(setq pos1 (search "~" ctrls :start2 start))
(if (not pos1)
(if loop
(progn
(setq start 0)
(setq pos1 (search "~" ctrls :start2 start)))
(progn
(setq done (cons arg done))
(go tag3) )))
(setq pos2 (setq pos1a (spec-position ctrls pos1)))
(setq spec (subseq ctrls (1- pos2) pos2))
(if (search spec "}]>;%&t~") (progn (setq start pos2) (go tag1)))
(setq params (subseq ctrls (1+ pos1) (1- pos2)))
;;
;; pre-test for ~nr, ~vr, ~#r :
;; check if radix is legal (Maxima 5.14 gcl segfaults when radix=1)
(if (and (string-equal spec "r") (string/= "" params))
(let ((c (subseq params 0 1)) (n "") (len (length params)) radix)
(if (or ($digitcharp c) (search c "v#V"))
(progn
(do ((p 1 (1+ p)))
((or (= p len)(search c ",@:v#V")))
(progn
(setq n (concatenate 'string n c))
(setq c (subseq params p (1+ p))) ))
(setq radix
(cond
((string= c ",") 10)
((string-equal c "v") arg)
((string= c "#") (length todo))
((or (string= c "@") (string= c ":")) (parse-integer n))
(t (parse-integer (concatenate 'string n c))) ))
(if (or (< radix 2) (> radix 36))
(merror "printf: illegal radix in r-directive: ~m" radix)) ))))
;;
;; handle some special directives:
(cond
;; ~v,v,v<spec>, spec=ABDEFGORSTX<~&%$ (# needs no special care; ~v[ not supported, see below)
((search spec "abdefgorstx<~&%$" :test #'string-equal)
(if (plusp (setq skip (count-v params)))
(progn
(do () ((zerop skip))
(progn
(setq done (cons (if (stringp arg) (character arg) arg) done))
(setq arg (car (setq todo (cdr todo))))
(setq index (1+ index))
(setq skip (1- skip)) ))
(setq done (cons (prepare-arg params spec arg) done))
(go tag2) )))
;; ~v,#,vH
((string-equal spec "h")
(if (check-v# params)
(let ((prms (split-at-comma params))
prm (new-params ""))
(dolist (p prms)
(progn
(setq prm
(cond
((string-equal "v" p)
(prog1
($sconcat arg)
(setq arg (car (setq todo (cdr todo))))
(setq index (1+ index))))
((string= "#" p)
($sconcat (length todo)))
(t p)))
(setq new-params (concatenate 'string new-params prm ",")) ))
(setq done (cons (prepare-arg new-params spec arg) done))
(go tag2) )))
;; ~@[, ~#[, ~n[
((string= "[" spec)
(cond
((string= "" params)) ;; don't check another condition
((or (and (string= "@" params) arg) ;; if arg is not nil, arg is not consumed
(string= "#" params))
(setq start pos2)
(go tag1))
((or (string= "v" params)
(every #'digit-char-p (coerce params 'list)))
(merror "printf: not supported directive ~~~m[" params)) )) ;; 0- vs. 1-based indexing
;; ~?
((string= "?" spec)
(cond
((string= "" params)
(let ((ind-ctrls arg)) ;; arg is a string
(setq done (cons arg done))
(setq arg (car (setq todo (cdr todo))))
(setq index (1+ index))
(setq done
(cons (prepare-args ind-ctrls (cdr arg) nil nil) done) )
(go tag2) ))
((string= "@" params)
(setq ctrls
(concatenate 'string (subseq ctrls 0 pos1) arg (subseq ctrls pos2)))
(setq done (cons arg done))
(go tag3))
(t
(merror "printf: illegal directive ~~~m?" params)) ))
;; ~^
((string= "^" spec)
(if (search "@" params)
(merror "printf: illegal directive ~~~m^" params))
(progn
(if (plusp (setq skip (count-v params)))
(progn
(do () ((zerop skip))
(progn
(setq done (cons (if (stringp arg) (character arg) arg) done))
(setq arg (car (setq todo (cdr todo))))
(setq index (1+ index))
(setq skip (1- skip)) ))
(setq done (cons (prepare-arg params spec arg) done)) ))
(setq start pos2)
(go tag1) ))
;; ~:P and ~:@P
((and (string-equal "p" spec) (search ":" params)) ;; ':' backs up
(setq start pos2)
(go tag1))
)
;; default part:
;;
;; loop ...
(if (string= "{" spec)
(progn
;; ~n{ and ~v{ etc. , set number of loops
(if (and (string/= "" params)
(string/= ":" params) (string/= "@" params) (string/= ":@" params))
(let ((c (subseq params 0 1)) (n "") (len (length params)))
(do ((p 1 (1+ p)))
((or (= p len)(search c "@:v#V"))
(setq params
(if (or (string= c "@") (string= c ":"))
(subseq params (1- p))
(subseq params p))))
(progn
(setq n (concatenate 'string n c))
(setq c (subseq params p (1+ p))) ))
(and (not loops)
(cond
((string-equal c "v")
(setq loops arg)
(setq done (cons arg done))
(setq arg (car (setq todo (cdr todo))))
(setq index (1+ index)) )
((string= c "#")
(setq loops (length todo)) )
((or (string= c "@") (string= c ":"))
(setq loops (parse-integer n)) )
(t
(setq loops (parse-integer (concatenate 'string n c))) ))) ))
;; ~{ and ~:{ and ~@{ and ~:@{
(cond
((string= "" params)
(setq pos2 (cadr (iter-positions ctrls pos1)))
(setq subctrls (subseq ctrls pos1a (- pos2 2)))
(setq done (cons (prepare-args subctrls (cdr arg) nil t) done))
(and loops (setq loops nil)) )
((string= ":" params)
(setq pos2 (cadr (iter-positions ctrls pos1)))
(setq subctrls (concatenate 'string "~{" (subseq ctrls pos1a pos2)))
(setq done (cons (prepare-args subctrls (cdr arg) nil t) done))
(and loops (setq loops nil)) )
((string= "@" params)
(setq pos2 (cadr (iter-positions ctrls pos1)))
(setq subctrls (concatenate 'string "~{" (subseq ctrls pos1a pos2)))
(setq done
(append
(reverse
(car
(prepare-args
subctrls
(list (cons '(mlist) (if loops (butlast todo (- (length todo) loops)) todo) ))
nil nil)))
done))
(setq todo
(if loops (nthcdr loops todo) nil))
(and loops (setq index (+ index loops)))
(setq arg (car todo))
(and loops (setq loops nil))
(setq start pos2)
(go tag4))
((string= ":@" params)
(setq pos2 (cadr (iter-positions ctrls pos1)))
(setq subctrls
(concatenate 'string "~" (if loops ($sconcat loops) "") ":{" (subseq ctrls pos1a pos2)))
(setq done
(append
(reverse
(car
(prepare-args
subctrls
(list (cons '(mlist) (if loops (butlast todo (- (length todo) loops)) todo) ))
nil nil)))
done))
(setq todo
(if loops (nthcdr loops todo) nil))
(and loops (setq index (+ index loops)))
(setq arg (car todo))
(and loops (setq loops nil))
(setq start pos2)
(go tag4)) ))
;; ... or don't loop ...
(setq done
(cons (prepare-arg params spec arg) done)))
;; ... set the position in ctrls ...
tag2
(setq start pos2)
;; ... and take the next argument
tag3
(setq arg (car (setq todo (cdr todo))))
(setq index (1+ index))
tag4 ))))
;;
;;
;;
(defun prepare-ctrls (ctrls)
(let ((start 0) (pos1 nil) (pos2 0)
(new-ctrls ""))
;; ~w,d,e,x,o,p@H
(setq pos1 (search "~" ctrls :start2 start))
(do ()
((not pos1)
(concatenate 'string new-ctrls (subseq ctrls pos2)))
(progn
(setq pos2 (spec-position ctrls pos1))
(setq new-ctrls
(if (string-equal (subseq ctrls (1- pos2) pos2) "h")
(concatenate 'string new-ctrls (subseq ctrls start pos1) "~@a")
(concatenate 'string new-ctrls (subseq ctrls start pos2)) ))
(setq start pos2)
(setq pos1 (search "~" ctrls :start2 start)) ))))
;;
;;
;;
(defun spec-position (ctrls pos1)
(do ((p (1+ pos1) (1+ p))) (())
(if (and (search (subseq ctrls p (1+ p)) "abcdefghoprstx%{}^&$[]?~<>;ABCDEFGHOPRSTX
") ;; newline possible spec
(not (string= "'" (subseq ctrls (1- p) p))))
(return (1+ p)) )))
;;
;;
;; helper for ~v,v,v<spec>
;;
(defun count-v (params)
(if (string= "" params)
0
(do ((p 0 (1+ p)) (len (length params)) (n 0))
((= p len) n)
(if (and (string-equal "v" (subseq params p (1+ p)))
(or (zerop p) (not (string= "'" (subseq params (1- p) p)))))
(setq n (1+ n)) ))))
;;
;;
;; helper for ~v,#,vH
;;
(defun check-v# (params)
(if (string= "" params)
nil
(do ((p 0 (1+ p)) (len (length params)))
((= p len) nil)
(if (and (search (subseq params p (1+ p)) "vV#")
(or (zerop p) (not (string= "'" (subseq params (1- p) p)))))
(return t)))))
;;
;;
;; find positions of matching braces
;;
(defun iter-positions (ctrls start)
(let ( pos1 pos2 (end (+ start 2))
spec (n 1))
(do ()
((zerop n) (list start end))
(progn
(setq pos1 (search "~" ctrls :start2 end))
(setq pos2 (spec-position ctrls pos1))
(setq spec (subseq ctrls (1- pos2) pos2))
(if (string-equal spec "{") (setq n (1+ n)))
(if (string-equal spec "}") (setq n (1- n)))
(setq end pos2) ))))
;;
;;
(defun split-at-comma (params)
(do ((p 0 (1+ p)) (len (length params)) (prms nil) (prm ""))
((= p len) (reverse (cons prm prms)))
(cond
((and (search (subseq params p (1+ p)) ",@")
(or (zerop p) (not (string= "'" (subseq params (1- p) p)))))
(setq prms (cons prm prms))
(setq prm ""))
((and (string= (subseq params p (1+ p)) ",")
(not (zerop p))
(string= "'" (subseq params (1- p) p)))
(setq prms (cons "," prms))
(setq prm ""))
((string= (subseq params p (1+ p)) "'")
nil)
(t
(setq prm (concatenate 'string prm (subseq params p (1+ p))))) )))
;;
;;
(defun prepare-arg (params spec arg)
(cond
;; ~w,d,e,x,o,p@H
((string-equal "h" spec)
(if (not (bigfloatp arg))
(cond
(($numberp arg) ;; Maxima rational, float
(setq arg ($bfloat arg)))
((and ($constantp arg) ;; %pi, sqrt(2), ...
($freeof '$%i arg) (not (member arg '(t nil))) (not ($listp arg)))
(setq arg ($bfloat arg)))
(t
(merror "printf: argument can't be supplied to h-directive: ~m" arg))))
(let ((prms (split-at-comma params))
w d e x o p at smarap)
(multiple-value-setq (w d e x o p) (apply #'values prms))
(setq smarap (reverse params))
(if (and (string/= "" smarap)
(string= (subseq smarap 0 1) "@")
(or (= 1 (length smarap)) (string/= (subseq smarap 1 2) "'")))
(setq at t))
(setq arg
(let ((w (if (and w (string/= "" w)) (parse-integer w)))
(d (if (and d (string/= "" d)) (parse-integer d)))
(e (if (and e (string/= "" e)) (parse-integer e)))
(x (if (and x (string/= "" x)) (parse-integer x))) )
(bprintf arg w d e x o p at))) ))
;; ~E, ~F, ~G
((search spec "efg" :test #'string-equal)
(if (not (floatp arg))
(cond
(($numberp arg) ;; Maxima rational, bigfloat
(setq arg ($float arg)))
((and ($constantp arg) ;; %pi, sqrt(2), ...
($freeof '$%i arg) (not (member arg '(t nil))) (not ($listp arg)))
(setq arg ($float arg)))
(t
(merror "printf: argument can't be supplied to ~m-directive: ~m" spec arg)))))
;; ~D
((string-equal "d" spec)
(if (not (integerp arg))
(cond
(($numberp arg) ;; Maxima rational, (big)float
(setq arg ($truncate arg)))
((and ($constantp arg) ;; %pi, sqrt(2), ...
($freeof '$%i arg) (not (member arg '(t nil))) (not ($listp arg)))
(setq arg ($truncate arg)))
(t
(merror "printf: argument can't be supplied to d-directive: ~m" arg)))))
;; ~A, ~S
((search spec "as" :test #'string-equal)
(setq arg ($sconcat arg)))
;; ~C
((string-equal "c" spec)
(setq arg (character arg))) ;; conversion to Lisp char
;; ~[
((string= "[" spec)
(if (or (string= "@" params) (string= ":" params))
arg
(if (integerp arg) (setq arg (1- arg))) ))) ;; 1-based indexing!
arg)
;;
;;
;;
;; bf: bigfloat
;; wd: nil or width
;; dd: nil or decimal digits behind floating point
;; ed: nil or minimal exponent digits
;; xp: nil or prefered exponent
;; ov: nil or overflow character
;; pc: nil or padding character
;; at: nil or true; sets "+" if true
;;
(defun bprintf (bf wd dd ed xp ov pc at);; ~w,d,e,x,o,p@H
;;
(and xp (not (zerop xp))
(setq bf (bcons (if (minusp xp)
(fptimes* (cdr bf) (intofp (expt 10 (- xp))))
(fpquotient (cdr bf) (intofp (expt 10 xp))) ))))
;;
(and dd
(let ((m (intofp (expt 10 dd))))
(setq bf (fptimes* (cdr bf) m))
(setq bf (meval `((%round) ,(bcons bf))))
(setq bf (bcons (fpquotient (intofp bf) m))) ))
;;
(let* ((s (string-left-trim "-" ($sconcat bf)))
(sgn (signum (cadr bf)))
(part1 (subseq s 0 1))
(pos (position #\b s))
(part2 (string-right-trim "0" (subseq s 2 pos)))
(len (length part2))
(pow (parse-integer (subseq s (1+ pos) nil))))
(cond ((and (> pow 0) (> len pow))
(setq s (concatenate 'string part1 (subseq part2 0 pow) "." (subseq part2 pow nil)))
(and dd (> dd (- len pow))
(setq s (concatenate 'string s (make-string (+ dd pow (- len)) :initial-element #\0)))))
((> pow 0)
(setq s (concatenate 'string part1 part2 (make-string (- pow len) :initial-element #\0) ".0"))
(and dd (> dd 0)
(setq s (concatenate 'string s (make-string (1- dd) :initial-element #\0)))))
((zerop pow)
(setq s (concatenate 'string part1 (if (zerop len) ".0" ".") part2))
(if (zerop len) (setq len (1+ len)))
(and dd (> dd len)
(setq s (concatenate 'string s (make-string (- dd len) :initial-element #\0)))))
((< pow 0)
(setq s (concatenate 'string "0." (make-string (- 0 pow 1) :initial-element #\0) part1 part2))
(and dd (> dd (- len pow))
(setq s (concatenate 'string s (make-string (+ dd pow (- len)) :initial-element #\0))))))
;;
(and dd (zerop dd)
(setq s (string-right-trim "0" s)))
(if (minusp sgn)
(setq s (concatenate 'string "-" s))
(if at (setq s (concatenate 'string "+" s))))
;;
(if (or ed xp)
(let (xps xpl)
(if (not xp) (setq xp 0))
(setq xps (meval `(($string) ,xp)))
(if (minusp xp)
(setq xps (subseq xps 1)))
(setq xpl (length xps))
(if (and ed (plusp (- ed xpl 1)))
(setq xps (concatenate 'string (make-string (- ed xpl 1) :initial-element #\0) xps)))
(setq s (concatenate 'string s "b" (if (minusp xp) "-" "+") xps))))
;;
(setq len (length s))
(and wd ov (> len wd)
(setq s (make-string wd :initial-element (character ov))))
(and wd (> wd len)
(setq s (concatenate 'string (make-string (- wd len) :initial-element (if pc (character pc) #\ )) s)))
;;
s ))
;;
;;
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
|
