550 lines
18 KiB
Scheme
Executable File
550 lines
18 KiB
Scheme
Executable File
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(library (ikarus.string-to-number)
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(export string->number define-string->number-parser)
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(import (except (ikarus) string->number))
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(define who 'string->number)
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(define (do-sn/ex sn ex ac)
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(* sn (if (eq? ex 'i) (inexact ac) ac)))
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(define (do-dec-sn/ex sn ex ac)
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(* sn (if (eq? ex 'e) ac (inexact ac))))
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(define (digit c r)
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(let ([n (fx- (char->integer c) (char->integer #\0))])
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(cond
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[(and (fx>=? n 0) (fx< n r)) n]
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[(eqv? r 16)
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(let ([n (fx- (char->integer c) (char->integer #\a))])
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(cond
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[(and (fx>=? n 0) (fx< n 6)) (+ n 10)]
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[else
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(let ([n (fx- (char->integer c) (char->integer #\A))])
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(cond
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[(and (fx>=? n 0) (fx< n 6)) (+ n 10)]
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[else #f]))]))]
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[else #f])))
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(module (define-parser)
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(define-syntax gen-empty
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(syntax-rules (eof)
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[(_ C Ca) (C EOF-ERROR Ca)]
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[(_ C Ca [(eof) then] . rest) then]
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[(_ C Ca other . rest) (gen-empty C Ca . rest)]))
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(define-syntax gen-delimiter
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(syntax-rules (eof)
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[(_ C Ca c)
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(C GEN-DELIM-TEST c
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(C FAIL Ca)
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(C FAIL Ca c))]
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[(_ C Ca c [(eof) then] . rest)
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(C GEN-DELIM-TEST c
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then
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(C FAIL Ca c))]
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[(_ C Ca c other . rest) (gen-delimiter C Ca c . rest)]))
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(define-syntax gen-char
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(syntax-rules (eof =>)
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[(_ C Ca c dc) dc]
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[(_ C Ca c dc [(eof) then] . rest)
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(gen-char C Ca c dc . rest)]
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[(_ C Ca c dc [(test . args) => result then] . rest)
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(cond
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[(test c . args) =>
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(lambda (result) then)]
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[else (gen-char C Ca c dc . rest)])]
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[(_ C Ca c dc [ls then] . rest)
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(if (memv c 'ls)
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then
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(gen-char C Ca c dc . rest))]))
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(define-syntax gen-clause
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(syntax-rules ()
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[(_ (Ca ...) C next fail name (arg* ...) (clause* ...))
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(define (name Ca ... arg* ...)
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(C GEN-TEST c next fail (Ca ...)
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(gen-empty C (Ca ...) clause* ...)
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(gen-char C (Ca ...) c
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(gen-delimiter C (Ca ...) c clause* ...)
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clause* ...)))]))
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(define-syntax define-parser^
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(lambda (x)
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(define (lookup ls1 ls2)
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(lambda (var)
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(let f ([ls1 ls1] [ls2 ls2])
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(cond
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[(null? ls1)
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(error 'define-parser "cannot find" var)]
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[(bound-identifier=? var (car ls1))
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(car ls2)]
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[else (f (cdr ls1) (cdr ls2))]))))
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(syntax-case x ()
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[(_ (entries ...) config next fail
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orig*
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[name* (arg** ...) clause** ...] ...)
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(with-syntax ([(mapped-entries ...)
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(map
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(lookup
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(syntax->datum #'orig*)
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#'(name* ...))
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#'(entries ...))])
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#'(begin
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(config GEN-ARGS
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gen-clause config next fail name*
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(arg** ...)
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(clause** ...))
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...
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(define entries mapped-entries)
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...))])))
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(define-syntax define-parser
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(lambda (x)
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(syntax-case x ()
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[(_ definer next fail [name* (arg** ...) clause** ...] ...)
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(with-syntax ([orig* (datum->syntax #'foo #'(name* ...))])
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#'(define-syntax definer
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(syntax-rules ()
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[(_ config (entries (... ...)))
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(define-parser^ (entries (... ...)) config next fail
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orig*
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[name* (arg** ...) clause** ...] ...)])))]))))
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(define-parser define-string->number-parser next fail
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(ratio+ (r ex sn num ac)
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[(eof)
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(if (= ac 0)
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(fail)
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(do-sn/ex sn ex (/ num ac)))]
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[(digit r) => d
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(next ratio+ r ex sn num (+ (* ac r) d))]
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[(#\+)
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(if (= ac 0)
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(fail)
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(let ([real (do-sn/ex sn ex (/ num ac))])
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(next im:sign r real ex +1)))]
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[(#\-)
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(if (= ac 0)
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(fail)
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(let ([real (do-sn/ex sn ex (/ num ac))])
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(next im:sign r real ex -1)))]
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[(#\@)
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(if (= ac 0)
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(fail)
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(let ([mag (do-sn/ex sn ex (/ num ac))])
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(next polar r mag ex)))]
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[(#\i)
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(if (= ac 0)
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(fail)
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(next im:done
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(make-rectangular 0 (do-sn/ex sn ex (/ num ac)))))])
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(im:ratio+ (r real ex sn num ac)
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[(digit r) => d
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(next im:ratio+ r real ex sn num (+ (* ac r) d))]
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[(#\i)
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(if (= ac 0)
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(fail)
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(next im:done
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(make-rectangular real (do-sn/ex sn ex (/ num ac)))))])
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(im:done (n)
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[(eof) n])
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(ratio (r ex sn num)
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[(digit r) => d
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(next ratio+ r ex sn num d)])
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(im:ratio (r real ex sn num)
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[(digit r) => d
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(next im:ratio+ r real ex sn num d)])
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(exponent+digit (r ex sn ac exp1 exp2 exp-sign)
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[(eof)
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(do-dec-sn/ex sn ex (* ac (expt 10 (+ exp1 (* exp2 exp-sign)))))]
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[(#\+)
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(let ([real (do-dec-sn/ex sn ex (* ac (expt 10 (+ exp1 (* exp2 exp-sign)))))])
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(next im:sign r real ex +1))]
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[(#\-)
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(let ([real (do-dec-sn/ex sn ex (* ac (expt 10 (+ exp1 (* exp2 exp-sign)))))])
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(next im:sign r real ex -1))]
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[(#\@)
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(let ([mag (do-dec-sn/ex sn ex (* ac (expt 10 (+ exp1 (* exp2 exp-sign)))))])
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(next polar r mag ex))]
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[(digit r) => d
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(next exponent+digit r ex sn ac exp1 (+ (* exp2 r) d) exp-sign)])
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(polar (r mag ex)
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[(digit r) => d
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(next polar+digit r mag ex d 1)]
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[(#\.)
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(if (= r 10)
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(next polar+dot r mag ex +1)
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(fail))])
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(polar+dot (r mag ex sn)
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[(digit r) => d
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(next polar+digit+dot r mag ex d sn -1)])
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(polar+digit (r mag ex ang sn)
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[(eof) (make-polar mag (* ang sn))]
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[(digit r) => d
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(next polar+digit r mag ex (+ (* r ang) d) sn)]
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[(#\.)
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(if (= r 10)
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(next polar+digit+dot r mag ex ang sn 0)
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(fail))])
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(polar+digit+dot (r mag ex ang sn exp)
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[(eof)
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(let ([ang (* ang sn (expt 10 exp))])
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(make-polar mag ang))]
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[(digit r) => d
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(next polar+digit+dot r mag ex (+ (* r ang) d) sn (- exp 1))])
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(im:exponent+digit (r real ex sn ac exp1 exp2 exp-sign)
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[(digit r) => d
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(next im:exponent+digit r real ex sn ac exp1 (+ (* exp2 r) d) exp-sign)]
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[(#\i)
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(let ([imag (do-dec-sn/ex sn ex
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(* ac (expt 10 (+ exp1 (* exp2 exp-sign)))))])
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(next im:done (make-rectangular real imag)))])
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(exponent+sign (r ex sn ac exp1 exp-sign)
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[(digit r) => d
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(next exponent+digit r ex sn ac exp1 d exp-sign)])
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(im:exponent+sign (r real ex sn ac exp1 exp-sign)
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[(digit r) => d
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(next im:exponent+digit r real ex sn ac exp1 d exp-sign)])
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(exponent (r ex sn ac exp1)
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[(digit r) => d
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(next exponent+digit r ex sn ac exp1 d +1)]
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[(#\+) (next exponent+sign r ex sn ac exp1 +1)]
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[(#\-) (next exponent+sign r ex sn ac exp1 -1)])
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(im:exponent (r real ex sn ac exp1)
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[(digit r) => d
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(next im:exponent+digit r real ex sn ac exp1 d +1)]
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[(#\+) (next im:exponent+sign r real ex sn ac exp1 +1)]
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[(#\-) (next im:exponent+sign r real ex sn ac exp1 -1)])
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(digit+dot (r ex sn ac exp)
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[(eof)
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(do-dec-sn/ex sn ex (* ac (expt 10 exp)))]
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[(digit r) => d
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(next digit+dot r ex sn (+ (* ac r) d) (- exp 1))]
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[(#\+)
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(let ([real (do-dec-sn/ex sn ex (* ac (expt 10 exp)))])
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(next im:sign r real ex +1))]
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[(#\-)
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(let ([real (do-dec-sn/ex sn ex (* ac (expt 10 exp)))])
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(next im:sign r real ex -1))]
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[(#\@)
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(let ([mag (do-dec-sn/ex sn ex (* ac (expt 10 exp)))])
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(next polar r mag ex))]
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[(#\i)
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(let ([real (do-dec-sn/ex sn ex (* ac (expt 10 exp)))])
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(next im:done (make-rectangular 0.0 real)))]
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[(#\e #\E #\s #\S #\f #\F #\d #\D #\l #\L)
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(if (fx=? r 10)
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(next exponent r ex sn ac exp)
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(fail))])
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(im:digit+dot (r real ex sn ac exp)
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[(eof)
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(do-dec-sn/ex sn ex (* ac (expt 10 exp)))]
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[(digit r) => d
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(next im:digit+dot r real ex sn (+ (* ac r) d) (- exp 1))]
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[(#\i)
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(let ([imag (do-dec-sn/ex sn ex (* ac (expt 10 exp)))])
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(next im:done (make-rectangular real imag)))]
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[(#\e #\E #\s #\S #\f #\F #\d #\D #\l #\L)
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(next im:exponent r real ex sn ac exp)])
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(digit+ (r ex sn ac)
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[(eof) (do-sn/ex sn ex ac)]
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[(digit r) => d
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(next digit+ r ex sn (+ (* ac r) d))]
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[(#\/) (next ratio r ex sn ac)]
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[(#\.)
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(if (fx=? r 10)
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(next digit+dot r ex sn ac 0)
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(fail))]
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[(#\+)
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(let ([real (do-sn/ex sn ex ac)])
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(next im:sign r real ex +1))]
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[(#\-)
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(let ([real (do-sn/ex sn ex ac)])
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(next im:sign r real ex -1))]
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[(#\@)
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(let ([mag (do-sn/ex sn ex ac)])
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(next polar r mag ex))]
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[(#\i)
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(next im:done (make-rectangular 0 (do-sn/ex sn ex ac)))]
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[(#\e #\E #\s #\S #\f #\F #\d #\D #\l #\L)
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(if (fx=? r 10)
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(next exponent r ex sn ac 0)
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(fail))])
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(im:digit+ (r real ex sn ac)
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[(digit r) => d
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(next im:digit+ r real ex sn (+ (* ac r) d))]
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[(#\.)
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(if (fx=? r 10)
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(next im:digit+dot r real ex sn ac 0)
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(fail))]
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[(#\/)
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(next im:ratio r real ex sn ac)]
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[(#\i)
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(next im:done (make-rectangular real (do-sn/ex sn ex ac)))]
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[(#\e #\E #\s #\S #\f #\F #\d #\D #\l #\L)
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(if (fx=? r 10)
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(next im:exponent r real ex sn ac 0)
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(fail))])
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(sign-i (r ex sn)
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[(eof)
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(make-rectangular
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(if (eq? ex 'i) 0.0 0)
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sn)]
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[(#\n) (next sign-in r ex sn)])
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(sign-in (r ex sn)
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[(#\f) (next sign-inf r ex sn)])
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(sign-inf (r ex sn)
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[(#\.) (next sign-inf. r ex sn)])
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(sign-inf. (r ex sn)
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[(#\0) (next sign-inf.0 r ex sn)])
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(sign-inf.0 (r ex sn)
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[(eof) (* sn +inf.0)]
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[(#\+) (next im:sign r (* sn +inf.0) ex +1)]
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[(#\-) (next im:sign r (* sn +inf.0) ex -1)]
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[(#\@) (next polar r (* sn +inf.0) ex)]
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[(#\i)
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(next im:done (make-rectangular 0.0 (* sn +inf.0)))])
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(im:sign-i (real ex sn)
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[(eof) (make-rectangular real (do-sn/ex sn ex 1))]
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[(#\n) (next im:sign-in (make-rectangular real (* sn +inf.0)))])
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(im:sign-in (n)
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[(#\f) (next im:sign-inf n)])
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(im:sign-inf (n)
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[(#\.) (next im:sign-inf. n)])
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(im:sign-inf. (n)
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[(#\0) (next im:sign-inf.0 n)])
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(im:sign-inf.0 (n)
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[(#\i) (next im:done n)])
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(im:sign-n (n) [(#\a) (next im:sign-na n)])
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(im:sign-na (n) [(#\n) (next im:sign-nan n)])
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(im:sign-nan (n) [(#\.) (next im:sign-nan. n)])
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(im:sign-nan. (n) [(#\0) (next im:sign-nan.0 n)])
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(im:sign-nan.0 (n) [(#\i) (next im:done n)])
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(dot (r ex sn)
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[(digit r) => d
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(next digit+dot r ex sn d -1)])
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(im:dot (r real ex sn)
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[(digit r) => d
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(next im:digit+dot r real ex sn d -1)])
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(im:sign (r real ex sn)
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[(digit r) => d
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(next im:digit+ r real ex sn d)]
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[(#\i)
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(next im:sign-i real ex sn)]
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[(#\n)
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(next im:sign-n (make-rectangular real +nan.0))]
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[(#\.)
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(if (fx=? r 10)
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(next im:dot r real ex sn)
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(fail))])
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(sign (r ex sn)
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[(digit r) => d
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(next digit+ r ex sn d)]
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[(#\i)
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(next sign-i r ex sn)]
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[(#\.)
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(if (fx=? r 10)
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(next dot r ex sn)
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(fail))]
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[(#\n)
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(next sign-n r ex)])
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(sign-n (r ex) [(#\a) (next sign-na r ex)])
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(sign-na (r ex) [(#\n) (next sign-nan r ex)])
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(sign-nan (r ex) [(#\.) (next sign-nan. r ex)])
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(sign-nan. (r ex) [(#\0) (next sign-nan.0 r ex)])
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(sign-nan.0 (r ex)
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[(eof) +nan.0]
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[(#\+) (next im:sign r +nan.0 ex +1)]
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[(#\-) (next im:sign r +nan.0 ex -1)]
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[(#\@) (next polar r +nan.0 ex)]
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[(#\i) (next sign-nan.0i r ex)])
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(sign-nan.0i (r ex)
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[(eof) (make-rectangular 0.0 +nan.0)])
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(parse-string-h (dr r ex)
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[(#\x #\X)
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(if r (fail) (next parse-string 16 16 ex))]
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[(#\o #\O)
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(if r (fail) (next parse-string 8 8 ex))]
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[(#\b #\B)
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(if r (fail) (next parse-string 2 2 ex))]
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[(#\d #\D)
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(if r (fail) (next parse-string 10 10 ex))]
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[(#\e #\E)
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(if ex (fail) (next parse-string dr r 'e))]
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[(#\i #\I)
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(if ex (fail) (next parse-string dr r 'i))])
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(parse-string (dr r ex)
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[(#\#) (next parse-string-h dr r ex)]
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[(#\+) (next sign dr ex +1)]
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[(#\-) (next sign dr ex -1)]
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[(#\.)
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(if (fx=? dr 10)
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(next dot dr ex +1)
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(fail))]
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[(digit dr) => d
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(next digit+ dr ex +1 d)])
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)
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(define-syntax string-config
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(syntax-rules (EOF-ERROR GEN-TEST GEN-ARGS FAIL GEN-DELIM-TEST)
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[(_ GEN-ARGS k . rest) (k (s n i) . rest)]
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[(_ FAIL (s n i) c) #f]
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[(_ FAIL (s n i)) #f]
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[(_ EOF-ERROR (s n i)) #f]
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[(_ GEN-DELIM-TEST c sk fk) #f]
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[(_ GEN-TEST var next fail (s n i) sk fk)
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(let ()
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(define-syntax fail
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(syntax-rules ()
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[(_) #f]))
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(if (fx=? i n)
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sk
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(let ([var (string-ref s i)])
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(define-syntax next
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(syntax-rules ()
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[(_ who args (... ...))
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(who s n (fx+ i 1) args (... ...))]))
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fk)))]))
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(define-string->number-parser string-config (parse-string))
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(define string->number
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(case-lambda
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[(s)
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(unless (string? s) (die who "not a string" s))
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(parse-string s (string-length s) 0 10 #f #f)]
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[(s r)
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(unless (string? s) (die who "not a string" s))
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(unless (memv r '(10 16 2 8)) (die who "invalid radix" r))
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(parse-string s (string-length s) 0 r #f #f)]))
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)
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;;; <number> ::= <num 2>
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;;; | <num 8>
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;;; | <num 10>
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;;; | <num 16>
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;;; <num R> ::= <prefix R> <complex R>
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;;; <complex R> ::= <real R>
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;;; | <real R> "@" <real R>
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;;; | <real R> "+" <ureal R> "i"
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;;; | <real R> "-" <ureal R> "i"
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;;; | <real R> "+" <naninf> "i"
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;;; | <real R> "-" <naninf> "i"
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;;; | <real R> "+" "i"
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;;; | <real R> "-" "i"
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;;; | "+" <ureal R> "i"
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;;; | "-" <ureal R> "i"
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;;; | "+" <naninf> "i"
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;;; | "-" <naninf> "i"
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;;; | "+" "i"
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;;; | "-" "i"
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;;; <real R> ::= <sign> <ureal R>
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;;; | "+" <naninf>
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;;; | "-" <naninf>
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;;; <naninf> ::= "nan.0"
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;;; | "inf.0"
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;;; <ureal R> | <uinteger R>
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;;; | <uinteger R> "/" <uinteger R>
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;;; | <decimal R> <mantissa width>
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;;; <decimal 10> ::= <uinteger 10> <suffix>
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;;; | "." <digit 10> + <suffix>
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;;; | <digit 10> + "." <digit 10> * <suffix>
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|
;;; | <digit 10> + "." <suffix>
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|
;;; <uinteger R> ::= <digit R> +
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|
;;; <prefix R> | <radix R> <exactness>
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;;; | <exactness <radix R>
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;;; <suffix> ::= epsilon
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|
;;; | <exponent-marker> <sign> <digit 10> +
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;;; <exponent-marker> ::= "e"
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;;; | "E"
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;;; | "s"
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;;; | "S"
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;;; | "f"
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;;; | "F"
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|
;;; | "d"
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;;; | "D"
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;;; | "l"
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|
;;; | "L"
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|
;;; <mantissa-width> ::= epsilon
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|
;;; | "|" <digit +>
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|
;;; <sign> ::= epsilon
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|
;;; | "+"
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|
;;; | "-"
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|
;;; <exactness> ::= epsilon
|
|
;;; | "#i"
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|
;;; | "#I"
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|
;;; | "#e"
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|
;;; | "#E"
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|
;;; <radix-2> ::= "#b"
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|
;;; | "#B"
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|
;;; <radix-8> ::= "#o"
|
|
;;; | "#O"
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|
;;; <radix-10> ::= epsilon
|
|
;;; | "#d"
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|
;;; | "#D"
|
|
;;; <radix-16> ::= "#x"
|
|
;;; | "#X"
|
|
;;; <digit-2> ::= "0"
|
|
;;; | "1"
|
|
;;; <digit-8> ::= "0"
|
|
;;; | "1"
|
|
;;; | "2"
|
|
;;; | "3"
|
|
;;; | "4"
|
|
;;; | "5"
|
|
;;; | "6"
|
|
;;; | "7"
|
|
;;; <digit-10> ::= <digit>
|
|
;;; <digit-16> ::= <hex-digit>
|
|
;;; <digit> ::= "0"
|
|
;;; | "1"
|
|
;;; | "2"
|
|
;;; | "3"
|
|
;;; | "4"
|
|
;;; | "5"
|
|
;;; | "6"
|
|
;;; | "7"
|
|
;;; | "8"
|
|
;;; | "9"
|
|
;;; <hex-digit> ::= <hex>
|
|
;;; | "A"
|
|
;;; | "B"
|
|
;;; | "C"
|
|
;;; | "D"
|
|
;;; | "E"
|
|
;;; | "F"
|
|
;;; | "a"
|
|
;;; | "b"
|
|
;;; | "c"
|
|
;;; | "d"
|
|
;;; | "e"
|
|
;;; | "f"
|