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;; -*- Lisp -*- | ||
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(defpackage #:parse-number-system | ||
(:use #:common-lisp #:asdf)) | ||
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(in-package #:parse-number-system) | ||
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(defsystem parse-number | ||
:author "Matthew Danish" | ||
:version "1.0" | ||
:components ((:file "parse-number"))) |
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;;;; -*- Mode: Lisp -*- | ||
;;;; Defines functions to parse any number type, without using the reader | ||
;;;; Version: 1.0 | ||
;;;; Author: Matthew Danish -- mrd.debian.org | ||
;;;; | ||
;;;; Copyright 2002 Matthew Danish. | ||
;;;; All rights reserved. | ||
;;;; | ||
;;;; Redistribution and use in source and binary forms, with or without | ||
;;;; modification, are permitted provided that the following conditions | ||
;;;; are met: | ||
;;;; 1. Redistributions of source code must retain the above copyright | ||
;;;; notice, this list of conditions and the following disclaimer. | ||
;;;; 2. Redistributions in binary form must reproduce the above copyright | ||
;;;; notice, this list of conditions and the following disclaimer in the | ||
;;;; documentation and/or other materials provided with the distribution. | ||
;;;; 3. Neither the name of the author nor the names of its contributors | ||
;;;; may be used to endorse or promote products derived from this software | ||
;;;; without specific prior written permission. | ||
;;;; | ||
;;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND | ||
;;;; ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | ||
;;;; IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE | ||
;;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE | ||
;;;; FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL | ||
;;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS | ||
;;;; OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) | ||
;;;; HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT | ||
;;;; LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY | ||
;;;; OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF | ||
;;;; SUCH DAMAGE. | ||
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(defpackage #:org.mapcar.parse-number | ||
(:use #:common-lisp) | ||
(:nicknames #:parse-number) | ||
(:export #:parse-number | ||
#:parse-real-number | ||
#:parse-positive-real-number)) | ||
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(in-package #:org.mapcar.parse-number) | ||
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(define-condition invalid-number () | ||
((value :reader value | ||
:initarg :value | ||
:initform nil) | ||
(reason :reader reason | ||
:initarg :reason | ||
:initform "Not specified")) | ||
(:report (lambda (c s) | ||
(format s "Invalid number: ~S [Reason: ~A]" | ||
(value c) (reason c))))) | ||
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(declaim (inline parse-integer-and-places)) | ||
(defun parse-integer-and-places (string start end &key (radix 10)) | ||
#+optimizations | ||
(declare (optimize (speed 3)) | ||
(type simple-base-string string) | ||
(type fixnum start end radix)) | ||
(multiple-value-bind (integer end-pos) | ||
(if (= start end) | ||
(values 0 0) | ||
(parse-integer string | ||
:start start | ||
:end end | ||
:radix radix)) | ||
(cons integer (- end-pos start)))) | ||
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(defun parse-integers (string start end splitting-points &key (radix 10)) | ||
#+optimizations | ||
(declare (optimize (speed 3)) | ||
(type simple-base-string string) | ||
(type fixnum start end radix)) | ||
(values-list (loop for left = start then (1+ right) | ||
for point in splitting-points | ||
for right = point | ||
collect (parse-integer-and-places string | ||
left | ||
right | ||
:radix radix) | ||
into integers | ||
finally (return | ||
(nconc integers | ||
(list | ||
(parse-integer-and-places string | ||
left | ||
end | ||
:radix radix | ||
))))))) | ||
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(declaim (inline number-value places)) | ||
(defun number-value (x) (car x)) | ||
(defun places (x) (cdr x)) | ||
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(declaim (type cons *white-space-characters*)) | ||
(defparameter *white-space-characters* | ||
'(#\Space #\Tab #\Return #\Linefeed)) | ||
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(declaim (inline white-space-p)) | ||
(defun white-space-p (x) | ||
#+optimizations | ||
(declare (optimize (speed 3) (safety 0)) | ||
(type character x)) | ||
(and (find x *white-space-characters*) t)) | ||
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;; Numbers which could've been parsed, but intentionally crippled not to: | ||
;; #xFF.AA | ||
;; #o12e3 | ||
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;; Numbers which CL doesn't parse, but this does: | ||
;; #10r3.2 | ||
;; #2r 11 | ||
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(defun parse-number (string &key (start 0) (end nil) (radix 10)) | ||
"Given a string, and start, end, and radix parameters, produce a number according to the syntax definitions in the Common Lisp Hyperspec." | ||
(flet ((invalid-number (reason) | ||
(error 'invalid-number | ||
:value (subseq string start end) | ||
:reason reason))) | ||
(let ((end (or end (length string)))) | ||
(if (and (eql (char string start) #\#) | ||
(member (char string (1+ start)) '(#\C #\c))) | ||
(let ((\(-pos (position #\( string :start start :end end)) | ||
(\)-pos (position #\) string :start start :end end))) | ||
(when (or (not \(-pos) | ||
(not \)-pos) | ||
(position #\( string :start (1+ \(-pos) :end end) | ||
(position #\) string :start (1+ \)-pos) :end end)) | ||
(invalid-number "Mismatched/missing parenthesis")) | ||
(let ((real-pos (position-if-not #'white-space-p string | ||
:start (1+ \(-pos) :end \)-pos))) | ||
(unless real-pos | ||
(invalid-number "Missing real part")) | ||
(let ((delimiting-space (position-if #'white-space-p string | ||
:start (1+ real-pos) | ||
:end \)-pos))) | ||
(unless delimiting-space | ||
(invalid-number "Missing imaginary part")) | ||
(let ((img-pos (position-if-not #'white-space-p string | ||
:start (1+ delimiting-space) | ||
:end \)-pos))) | ||
(unless img-pos | ||
(invalid-number "Missing imaginary part")) | ||
(let ((img-end-pos (position-if #'white-space-p string | ||
:start (1+ img-pos) | ||
:end \)-pos))) | ||
(complex (parse-real-number string | ||
:start real-pos | ||
:end delimiting-space | ||
:radix radix) | ||
(parse-real-number string | ||
:start img-pos | ||
:end (or img-end-pos | ||
\)-pos) | ||
:radix radix))))))) | ||
(parse-real-number string :start start :end end :radix radix))))) | ||
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(defun parse-real-number (string &key (start 0) (end nil) (radix 10)) | ||
"Given a string, and start, end, and radix parameters, produce a number according to the syntax definitions in the Common Lisp Hyperspec -- except for complex numbers." | ||
(let ((end (or end (length string)))) | ||
(case (char string start) | ||
((#\-) | ||
(* -1 (parse-positive-real-number string | ||
:start (1+ start) | ||
:end end | ||
:radix radix))) | ||
((#\#) | ||
(case (char string (1+ start)) | ||
((#\x #\X) | ||
(parse-real-number string | ||
:start (+ start 2) | ||
:end end | ||
:radix 16)) | ||
((#\b #\B) | ||
(parse-real-number string | ||
:start (+ start 2) | ||
:end end | ||
:radix 2)) | ||
((#\o #\O) | ||
(parse-real-number string | ||
:start (+ start 2) | ||
:end end | ||
:radix 8)) | ||
(t (if (digit-char-p (char string (1+ start))) | ||
(let ((r-pos (position #\r string | ||
:start (1+ start) | ||
:end end | ||
:key #'char-downcase))) | ||
(unless r-pos | ||
(error 'invalid-number | ||
:value (subseq string start end) | ||
:reason "Missing R in #radixR")) | ||
(parse-real-number string | ||
:start (1+ r-pos) | ||
:end end | ||
:radix (parse-integer string | ||
:start (1+ start) | ||
:end r-pos))))))) | ||
(t (parse-positive-real-number string | ||
:start start | ||
:end end | ||
:radix radix))))) | ||
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(defun parse-positive-real-number (string &key (start 0) (end nil) (radix 10)) | ||
"Given a string, and start, end, and radix parameters, produce a number according to the syntax definitions in the Common Lisp Hyperspec -- except for complex numbers and negative numbers." | ||
(let ((end (or end (length string))) | ||
(first-char (char string start))) | ||
(flet ((invalid-number (reason) | ||
(error 'invalid-number | ||
:value (subseq string start end) | ||
:reason reason)) | ||
(base-for-exponent-marker (char) | ||
(case char | ||
((#\d #\D) | ||
10.0d0) | ||
((#\e #\E) | ||
10) | ||
((#\s #\S) | ||
10.0s0) | ||
((#\l #\L) | ||
10.0l0) | ||
((#\f #\F) | ||
10.0f0)))) | ||
(case first-char | ||
((#\-) | ||
(invalid-number "Invalid usage of -")) | ||
((#\/) | ||
(invalid-number "/ at beginning of number")) | ||
((#\d #\D #\e #\E #\l #\L #\f #\F #\s #\S) | ||
(when (= radix 10) | ||
(invalid-number "Exponent-marker at beginning of number")))) | ||
(let (/-pos .-pos exp-pos exp-marker) | ||
(loop for index from start below end | ||
for char = (char string index) | ||
do (case char | ||
((#\/) | ||
(if /-pos | ||
(invalid-number "Multiple /'s in number") | ||
(setf /-pos index))) | ||
((#\.) | ||
(if .-pos | ||
(invalid-number "Multiple .'s in number") | ||
(setf .-pos index))) | ||
((#\e #\E #\f #\F #\s #\S #\l #\L #\d #\D) | ||
(when (= radix 10) | ||
(when exp-pos | ||
(invalid-number | ||
"Multiple exponent-markers in number")) | ||
(setf exp-pos index) | ||
(setf exp-marker (char-downcase char))))) | ||
when (eql index (1- end)) | ||
do (case char | ||
((#\/) | ||
(invalid-number "/ at end of number")) | ||
((#\d #\D #\e #\E #\s #\S #\l #\L #\f #\F) | ||
(when (= radix 10) | ||
(invalid-number "Exponent-marker at end of number"))))) | ||
(cond ((and /-pos .-pos) | ||
(invalid-number "Both . and / cannot be present simultaneously")) | ||
((and /-pos exp-pos) | ||
(invalid-number "Both an exponent-marker and / cannot be present simultaneously")) | ||
((and .-pos exp-pos) | ||
(if (< exp-pos .-pos) | ||
(invalid-number "Exponent-markers must occur after . in number") | ||
(if (/= radix 10) | ||
(invalid-number "Only decimal numbers can contain exponent-markers or decimal points") | ||
(multiple-value-bind (whole-place frac-place exp-place) | ||
(parse-integers string start end | ||
(list .-pos exp-pos) | ||
:radix radix) | ||
(* (+ (number-value whole-place) | ||
(/ (number-value frac-place) | ||
(expt radix | ||
(places frac-place)))) | ||
(expt (base-for-exponent-marker exp-marker) | ||
(number-value exp-place))))))) | ||
(exp-pos | ||
(if (/= radix 10) | ||
(invalid-number "Only decimals can contain exponent-markers") | ||
(multiple-value-bind (whole-place exp-place) | ||
(parse-integers string start end | ||
(list exp-pos) | ||
:radix radix) | ||
(* (number-value whole-place) | ||
(expt (base-for-exponent-marker exp-marker) | ||
(number-value exp-place)))))) | ||
(/-pos | ||
(multiple-value-bind (numerator denominator) | ||
(parse-integers string start end | ||
(list /-pos) | ||
:radix radix) | ||
(if (>= (number-value denominator) 0) | ||
(/ (number-value numerator) | ||
(number-value denominator)) | ||
(invalid-number "Misplaced - sign")))) | ||
(.-pos | ||
(if (/= radix 10) | ||
(invalid-number "Only decimal numbers can contain decimal points") | ||
(multiple-value-bind (whole-part frac-part) | ||
(parse-integers string start end | ||
(list .-pos) | ||
:radix radix) | ||
(if (>= (number-value frac-part) 0) | ||
(+ (number-value whole-part) | ||
(/ (number-value frac-part) | ||
(expt 10.0 (places frac-part)))) | ||
(invalid-number "Misplaced - sign"))))) | ||
(t | ||
(values (parse-integer string | ||
:start start | ||
:end end | ||
:radix radix)))))))) | ||
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(defparameter *test-values* | ||
'("1" "-1" "1034" "-364" "80/335" "3.5333" "2.4E4" "6.8d3" "#xFF" "#b-1000" "#o-101/75" "13.09s3" "35.66l5" "21.4f2" "#C(1 2)" "#c ( #xF #o-1 ) " "#c(1d1 2s1)" "#16rFF" "#9r10" "#C(#9r44/61 4f4)")) | ||
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(defun run-tests () | ||
(format t "~&~16@A (~16@A) = ~16A~%~%" | ||
"String value" "READ value" "Parsed value") | ||
(dolist (value *test-values*) | ||
(format t "~&~16@A (~16@A) = ~16A~%" | ||
value | ||
(read-from-string value) | ||
(parse-number value)))) | ||
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