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Parse-hex-charcode

Signature

(parse-hex-charcode x index) → (mv err char new-index)

Arguments

x — Guard (stringp x).

index — Guard (natp index).

Returns

err — Type (acl2::maybe-stringp err).

char — Type (characterp char).

new-index — Type (natp new-index).

Definitions and Theorems

Function: parse-hex-charcode

(defun parse-hex-charcode (x index)
  (declare (xargs :guard (and (stringp x) (natp index))))
  (let ((__function__ 'parse-hex-charcode))
    (declare (ignorable __function__))
    (b* ((index (lnfix index))
         ((unless (< (+ 1 index) (strlen x)))
          (mv "String ended within hex charcode"
              (code-char 0)
              index))
         (hex0 (char x index))
         (hex1 (char x (+ 1 index)))
         ((unless (and (str::hex-digit-char-p hex0)
                       (str::hex-digit-char-p hex1)))
          (mv "Malformed hex charcode" (code-char 0)
              index))
         (val (str::hex-digit-chars-value (list hex0 hex1))))
      (mv nil (code-char val) (+ 2 index)))))

Theorem: maybe-stringp-of-parse-hex-charcode.err

(defthm maybe-stringp-of-parse-hex-charcode.err
  (b* (((mv ?err common-lisp::?char ?new-index)
        (parse-hex-charcode x index)))
    (acl2::maybe-stringp err))
  :rule-classes :type-prescription)

Theorem: characterp-of-parse-hex-charcode.char

(defthm characterp-of-parse-hex-charcode.char
  (b* (((mv ?err common-lisp::?char ?new-index)
        (parse-hex-charcode x index)))
    (characterp char))
  :rule-classes :rewrite)

Theorem: natp-of-parse-hex-charcode.new-index

(defthm natp-of-parse-hex-charcode.new-index
  (b* (((mv ?err common-lisp::?char ?new-index)
        (parse-hex-charcode x index)))
    (natp new-index))
  :rule-classes :type-prescription)

Theorem: new-index-of-parse-hex-charcode

(defthm new-index-of-parse-hex-charcode
  (b* (((mv ?err common-lisp::?char ?new-index)
        (parse-hex-charcode x index)))
    (<= (nfix index) new-index))
  :rule-classes :linear)

Theorem: new-index-of-parse-hex-charcode-strong

(defthm new-index-of-parse-hex-charcode-strong
  (b* (((mv ?err common-lisp::?char ?new-index)
        (parse-hex-charcode x index)))
    (implies (not err)
             (< (nfix index) new-index)))
  :rule-classes :linear)

Theorem: new-index-of-parse-hex-charcode-less-than-length

(defthm new-index-of-parse-hex-charcode-less-than-length
  (b* (((mv ?err common-lisp::?char ?new-index)
        (parse-hex-charcode x index)))
    (implies (<= (nfix index)
                 (len (acl2::explode x)))
             (<= new-index (len (acl2::explode x)))))
  :rule-classes :linear)

Theorem: parse-hex-charcode-of-str-fix-x

(defthm parse-hex-charcode-of-str-fix-x
  (equal (parse-hex-charcode (acl2::str-fix x)
                             index)
         (parse-hex-charcode x index)))

Theorem: parse-hex-charcode-streqv-congruence-on-x

(defthm parse-hex-charcode-streqv-congruence-on-x
  (implies (acl2::streqv x x-equiv)
           (equal (parse-hex-charcode x index)
                  (parse-hex-charcode x-equiv index)))
  :rule-classes :congruence)

Theorem: parse-hex-charcode-of-nfix-index

(defthm parse-hex-charcode-of-nfix-index
  (equal (parse-hex-charcode x (nfix index))
         (parse-hex-charcode x index)))

Theorem: parse-hex-charcode-nat-equiv-congruence-on-index

(defthm parse-hex-charcode-nat-equiv-congruence-on-index
  (implies (acl2::nat-equiv index index-equiv)
           (equal (parse-hex-charcode x index)
                  (parse-hex-charcode x index-equiv)))
  :rule-classes :congruence)