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• Basic-printing

Vl-col-after-printing-chars

Figure out where we'll be after printing some characters.

Signature

(vl-col-after-printing-chars col chars) → new-col

Arguments

col — Current column we're at.
    Guard (natp col).

chars — Characters we're about to print, not yet reversed.
    Guard (character-listp chars).

Returns

new-col — Column we'll be at after printing chars.
    Type (natp new-col).

Definitions and Theorems

Function: vl-col-after-printing-chars

(defun vl-col-after-printing-chars (col chars)
       (declare (xargs :guard (and (natp col)
                                   (character-listp chars))))
       (declare (type unsigned-byte col))
       (declare (xargs :split-types t))
       (let ((__function__ 'vl-col-after-printing-chars))
            (declare (ignorable __function__))
            (cond ((atom chars) (lnfix col))
                  ((eql #\Newline
                        (mbe :logic (char-fix (car chars))
                             :exec (car chars)))
                   (vl-col-after-printing-chars 0 (cdr chars)))
                  (t (vl-col-after-printing-chars (+ 1 (lnfix col))
                                                  (cdr chars))))))

Theorem: natp-of-vl-col-after-printing-chars

(defthm natp-of-vl-col-after-printing-chars
        (b* ((new-col (vl-col-after-printing-chars col chars)))
            (natp new-col))
        :rule-classes :type-prescription)

Theorem: vl-col-after-printing-chars-of-nfix-col

(defthm vl-col-after-printing-chars-of-nfix-col
        (equal (vl-col-after-printing-chars (nfix col)
                                            chars)
               (vl-col-after-printing-chars col chars)))

Theorem: vl-col-after-printing-chars-nat-equiv-congruence-on-col

(defthm
     vl-col-after-printing-chars-nat-equiv-congruence-on-col
     (implies (acl2::nat-equiv col col-equiv)
              (equal (vl-col-after-printing-chars col chars)
                     (vl-col-after-printing-chars col-equiv chars)))
     :rule-classes :congruence)

Theorem: vl-col-after-printing-chars-of-make-character-list-chars

(defthm
  vl-col-after-printing-chars-of-make-character-list-chars
  (equal
       (vl-col-after-printing-chars col (make-character-list chars))
       (vl-col-after-printing-chars col chars)))

Theorem: vl-col-after-printing-chars-charlisteqv-congruence-on-chars

(defthm
     vl-col-after-printing-chars-charlisteqv-congruence-on-chars
     (implies (str::charlisteqv chars chars-equiv)
              (equal (vl-col-after-printing-chars col chars)
                     (vl-col-after-printing-chars col chars-equiv)))
     :rule-classes :congruence)