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• Parser

Lex-bin-expo

Lex a binary exponent.

Signature

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

Arguments

parstate — Guard (parstatep parstate).

Returns

expo — Type (bin-expop expo).

last-pos — Type (positionp last-pos).

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

This is called when we expect a binary exponent. We try to read a p or P, 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-bin-expo

(defun lex-bin-expo (parstate)
 (declare (xargs :stobjs (parstate)))
 (declare (xargs :guard (parstatep parstate)))
 (let ((__function__ 'lex-bin-expo))
  (declare (ignorable __function__))
  (b* (((reterr)
        (irr-bin-expo)
        (irr-position)
        parstate)
       ((erp char pos parstate)
        (read-char parstate)))
   (cond ((not char)
          (reterr-msg :where (position-to-msg pos)
                      :expected "a character in {p, P}"
                      :found (char-to-msg char)))
         ((or (= char (char-code #\p))
              (= char (char-code #\P)))
          (b* ((prefix (if (= char (char-code #\p))
                           (bin-expo-prefix-locase-p)
                         (bin-expo-prefix-upcase-p)))
               ((erp sign? sign-last-pos parstate)
                (lex-sign-if-present 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-bin-expo :prefix prefix
                                  :sign? sign?
                                  :digits digits)
                   digits-last-pos parstate)))
         (t (reterr-msg :where (position-to-msg pos)
                        :expected "a character in {p, P}"
                        :found (char-to-msg char)))))))

Theorem: bin-expop-of-lex-bin-expo.expo

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

Theorem: positionp-of-lex-bin-expo.last-pos

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

Theorem: parstatep-of-lex-bin-expo.new-parstate

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

Theorem: parsize-of-lex-bin-expo-uncond

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

Theorem: parsize-of-lex-bin-expo-cond

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