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• Lexer

Lex-exponent-part

Lex a decimal exponent.

Signature

(lex-exponent-part parstate) 
  → 
(mv erp expo last-pos new-parstate)

Arguments

parstate — Guard (parstatep parstate).

Returns

expo — Type (dexpop expo).

last-pos — Type (positionp last-pos).

new-parstate — Type (parstatep new-parstate), given (parstatep parstate).

This is called when we expect an exponent. We try to read a e or E, which must be present. Then we read an optional sign. Then we read zero or more decimal digits, of which there must be at least one.

Definitions and Theorems

Function: lex-exponent-part

(defun lex-exponent-part (parstate)
 (declare (xargs :stobjs (parstate)))
 (declare (xargs :guard (parstatep parstate)))
 (let ((__function__ 'lex-exponent-part))
  (declare (ignorable __function__))
  (b* (((reterr)
        (irr-dexpo)
        (irr-position)
        parstate)
       ((erp char pos parstate)
        (read-char parstate)))
   (cond ((not char)
          (reterr-msg :where (position-to-msg pos)
                      :expected "a character in {e, E}"
                      :found (char-to-msg char)))
         ((or (utf8-= char (char-code #\e))
              (utf8-= char (char-code #\E)))
          (b* ((prefix (if (utf8-= char (char-code #\e))
                           (dexprefix-locase-e)
                         (dexprefix-upcase-e)))
               ((erp sign? sign-last-pos parstate)
                (lex-?-sign parstate))
               ((erp digits digits-last-pos
                     digits-next-pos parstate)
                (lex-*-digit sign-last-pos parstate))
               ((unless digits)
                (reterr-msg :where (position-to-msg digits-next-pos)
                            :expected "one or more digits"
                            :found "none")))
            (retok (make-dexpo :prefix prefix
                               :sign? sign?
                               :digits digits)
                   digits-last-pos parstate)))
         (t (reterr-msg :where (position-to-msg pos)
                        :expected "a character in {e, E}"
                        :found (char-to-msg char)))))))

Theorem: dexpop-of-lex-exponent-part.expo

(defthm dexpop-of-lex-exponent-part.expo
  (b* (((mv acl2::?erp
            ?expo ?last-pos ?new-parstate)
        (lex-exponent-part parstate)))
    (dexpop expo))
  :rule-classes :rewrite)

Theorem: positionp-of-lex-exponent-part.last-pos

(defthm positionp-of-lex-exponent-part.last-pos
  (b* (((mv acl2::?erp
            ?expo ?last-pos ?new-parstate)
        (lex-exponent-part parstate)))
    (positionp last-pos))
  :rule-classes :rewrite)

Theorem: parstatep-of-lex-exponent-part.new-parstate

(defthm parstatep-of-lex-exponent-part.new-parstate
  (implies (parstatep parstate)
           (b* (((mv acl2::?erp
                     ?expo ?last-pos ?new-parstate)
                 (lex-exponent-part parstate)))
             (parstatep new-parstate)))
  :rule-classes :rewrite)

Theorem: parsize-of-lex-exponent-part-uncond

(defthm parsize-of-lex-exponent-part-uncond
  (b* (((mv acl2::?erp
            ?expo ?last-pos ?new-parstate)
        (lex-exponent-part parstate)))
    (<= (parsize new-parstate)
        (parsize parstate)))
  :rule-classes :linear)

Theorem: parsize-of-lex-exponent-part-cond

(defthm parsize-of-lex-exponent-part-cond
  (b* (((mv acl2::?erp
            ?expo ?last-pos ?new-parstate)
        (lex-exponent-part parstate)))
    (implies (and (not erp) expo?)
             (<= (parsize new-parstate)
                 (1- (parsize parstate)))))
  :rule-classes :linear)