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• Html-encoding

Html-encode-string-basic-aux

Convert a string into HTML (simple version, no tab support).

Signature

(html-encode-string-basic-aux x n xl acc) → *

Arguments

x — String we're encoding.
    Guard (stringp x).

n — Current position in x. Should typically start as 0.
    Guard (natp n).

xl — Precomputed length of x.
    Guard (eql xl (length x)).

acc — Accumulator for output characters, reverse order.

Definitions and Theorems

Function: html-encode-string-basic-aux

(defun html-encode-string-basic-aux (x n xl acc)
  (declare (xargs :guard (and (stringp x)
                              (natp n)
                              (eql xl (length x)))))
  (declare (type unsigned-byte n xl))
  (declare (xargs :split-types t :guard (<= n xl)))
  (let ((acl2::__function__ 'html-encode-string-basic-aux))
    (declare (ignorable acl2::__function__))
    (mbe :logic
         (html-encode-chars-basic-aux (nthcdr n (explode x))
                                      acc)
         :exec
         (b* (((when (mbe :logic (zp (- (nfix xl) (nfix n)))
                          :exec (eql n xl)))
               acc)
              (acc (html-encode-char-basic (char x n) acc))
              ((the unsigned-byte n)
               (mbe :logic (+ 1 (lnfix n))
                    :exec (+ 1 n))))
           (html-encode-string-basic-aux x n xl acc)))))

Theorem: html-encode-string-basic-aux-of-str-fix-x

(defthm html-encode-string-basic-aux-of-str-fix-x
  (equal (html-encode-string-basic-aux (str-fix x)
                                       n xl acc)
         (html-encode-string-basic-aux x n xl acc)))

Theorem: html-encode-string-basic-aux-streqv-congruence-on-x

(defthm html-encode-string-basic-aux-streqv-congruence-on-x
  (implies (streqv x x-equiv)
           (equal (html-encode-string-basic-aux x n xl acc)
                  (html-encode-string-basic-aux x-equiv n xl acc)))
  :rule-classes :congruence)

Theorem: html-encode-string-basic-aux-of-nfix-n

(defthm html-encode-string-basic-aux-of-nfix-n
  (equal (html-encode-string-basic-aux x (nfix n)
                                       xl acc)
         (html-encode-string-basic-aux x n xl acc)))

Theorem: html-encode-string-basic-aux-nat-equiv-congruence-on-n

(defthm html-encode-string-basic-aux-nat-equiv-congruence-on-n
  (implies (acl2::nat-equiv n n-equiv)
           (equal (html-encode-string-basic-aux x n xl acc)
                  (html-encode-string-basic-aux x n-equiv xl acc)))
  :rule-classes :congruence)