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• Lexer

Lex-non-octal-digit

Lex a non-octal digit.

Signature

(lex-non-octal-digit parstate) 
  → 
(mv erp char pos new-parstate)

Arguments

parstate — Guard (parstatep parstate).

Returns

char — Type (natp char).

pos — Type (positionp pos).

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

This is only called by lex-oct-iconst-/-dec-fconst, for the purpose of returning an informative error message when a sequence of digits is read that are not all octal, but the sequence cannot form a decimal constant. The caller first unreads all those digits, and then calls this function to find the (first) offeding digit. So we expect that a non-octal digit will be found, and it is thus an internal error if it is not found (which should never happen).

Definitions and Theorems

Function: lex-non-octal-digit

(defun lex-non-octal-digit (parstate)
  (declare (xargs :stobjs (parstate)))
  (declare (xargs :guard (parstatep parstate)))
  (let ((__function__ 'lex-non-octal-digit))
    (declare (ignorable __function__))
    (b* (((reterr) 0 (irr-position) parstate)
         ((erp char pos parstate)
          (read-char parstate))
         ((unless char)
          (raise "Internal error: no non-octal digit found.")
          (reterr t))
         ((unless (and (utf8-<= (char-code #\0) char)
                       (utf8-<= char (char-code #\7))))
          (retok char pos parstate)))
      (lex-non-octal-digit parstate))))

Theorem: natp-of-lex-non-octal-digit.char

(defthm natp-of-lex-non-octal-digit.char
  (b* (((mv acl2::?erp common-lisp::?char
            acl2::?pos ?new-parstate)
        (lex-non-octal-digit parstate)))
    (natp char))
  :rule-classes :rewrite)

Theorem: positionp-of-lex-non-octal-digit.pos

(defthm positionp-of-lex-non-octal-digit.pos
  (b* (((mv acl2::?erp common-lisp::?char
            acl2::?pos ?new-parstate)
        (lex-non-octal-digit parstate)))
    (positionp pos))
  :rule-classes :rewrite)

Theorem: parstatep-of-lex-non-octal-digit.new-parstate

(defthm parstatep-of-lex-non-octal-digit.new-parstate
  (implies (parstatep parstate)
           (b* (((mv acl2::?erp common-lisp::?char
                     acl2::?pos ?new-parstate)
                 (lex-non-octal-digit parstate)))
             (parstatep new-parstate)))
  :rule-classes :rewrite)

Theorem: parsize-of-lex-non-octal-digit-uncond

(defthm parsize-of-lex-non-octal-digit-uncond
  (b* (((mv acl2::?erp common-lisp::?char
            acl2::?pos ?new-parstate)
        (lex-non-octal-digit parstate)))
    (<= (parsize new-parstate)
        (parsize parstate)))
  :rule-classes :linear)

Theorem: parsize-of-lex-non-octal-digit-cond

(defthm parsize-of-lex-non-octal-digit-cond
  (b* (((mv acl2::?erp common-lisp::?char
            acl2::?pos ?new-parstate)
        (lex-non-octal-digit parstate)))
    (implies (not erp)
             (<= (parsize new-parstate)
                 (1- (parsize parstate)))))
  :rule-classes :linear)