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• Html-encode-push

Html-encode-next-col

Compute where we'll be after printing a character, accounting for tab sizes and newlines.

Signature

(html-encode-next-col char1 col tabsize) → new-col

Arguments

char1 — Character to be printed.
    Guard (characterp char1).

col — Current column number before printing char1.
    Guard (natp col).

tabsize — Guard (posp tabsize).

Returns

new-col — New column number after printing char1.
    Type (natp new-col).

Definitions and Theorems

Function: html-encode-next-col$inline

(defun html-encode-next-col$inline (char1 col tabsize)
  (declare (xargs :guard (and (characterp char1)
                              (natp col)
                              (posp tabsize))))
  (let ((acl2::__function__ 'html-encode-next-col))
    (declare (ignorable acl2::__function__))
    (b* ((char1 (mbe :logic (char-fix char1)
                     :exec char1))
         (col (lnfix col)))
      (cond ((eql char1 #\Newline) 0)
            ((eql char1 #\Tab)
             (+ col (distance-to-tab col tabsize)))
            (t (+ 1 col))))))

Theorem: natp-of-html-encode-next-col

(defthm natp-of-html-encode-next-col
  (b* ((new-col (html-encode-next-col$inline char1 col tabsize)))
    (natp new-col))
  :rule-classes :type-prescription)

Theorem: html-encode-next-col$inline-of-char-fix-char1

(defthm html-encode-next-col$inline-of-char-fix-char1
  (equal (html-encode-next-col$inline (char-fix char1)
                                      col tabsize)
         (html-encode-next-col$inline char1 col tabsize)))

Theorem: html-encode-next-col$inline-chareqv-congruence-on-char1

(defthm html-encode-next-col$inline-chareqv-congruence-on-char1
 (implies
      (chareqv char1 char1-equiv)
      (equal (html-encode-next-col$inline char1 col tabsize)
             (html-encode-next-col$inline char1-equiv col tabsize)))
 :rule-classes :congruence)

Theorem: html-encode-next-col$inline-of-nfix-col

(defthm html-encode-next-col$inline-of-nfix-col
  (equal (html-encode-next-col$inline char1 (nfix col)
                                      tabsize)
         (html-encode-next-col$inline char1 col tabsize)))

Theorem: html-encode-next-col$inline-nat-equiv-congruence-on-col

(defthm html-encode-next-col$inline-nat-equiv-congruence-on-col
 (implies
      (acl2::nat-equiv col col-equiv)
      (equal (html-encode-next-col$inline char1 col tabsize)
             (html-encode-next-col$inline char1 col-equiv tabsize)))
 :rule-classes :congruence)

Theorem: html-encode-next-col$inline-of-pos-fix-tabsize

(defthm html-encode-next-col$inline-of-pos-fix-tabsize
 (equal
     (html-encode-next-col$inline char1 col (acl2::pos-fix tabsize))
     (html-encode-next-col$inline char1 col tabsize)))

Theorem: html-encode-next-col$inline-pos-equiv-congruence-on-tabsize

(defthm html-encode-next-col$inline-pos-equiv-congruence-on-tabsize
 (implies
      (acl2::pos-equiv tabsize tabsize-equiv)
      (equal (html-encode-next-col$inline char1 col tabsize)
             (html-encode-next-col$inline char1 col tabsize-equiv)))
 :rule-classes :congruence)