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    • Cases

    Downcase-char-str

    Convert a character into a lower-case one-element string.

    Signature
    (downcase-char-str c) → str
    Returns
    str — Type (stringp str).

    (downcase-char-str c) is logically equal to:

    (implode (downcase-char c))

    But we store these strings in a table so that they don't have to be recomputed. This is mainly useful to reduce the creation of temporary strings during downcase-first.

    Definitions and Theorems

    Function: make-downcase-first-strtbl

    (defun make-downcase-first-strtbl (n)
           (declare (xargs :guard (and (natp n) (<= n 255))))
           (cons (cons n
                       (implode (list (downcase-char (code-char n)))))
                 (if (zp n)
                     nil
                     (make-downcase-first-strtbl (- n 1)))))

    Function: downcase-char-str$inline

    (defun downcase-char-str$inline (c)
           (declare (type character c))
           (let ((acl2::__function__ 'downcase-char-str))
                (declare (ignorable acl2::__function__))
                (mbe :logic (implode (list (downcase-char c)))
                     :exec (aref1 '*downcase-first-strtbl*
                                  *downcase-first-strtbl*
                                  (char-code c)))))

    Theorem: stringp-of-downcase-char-str

    (defthm stringp-of-downcase-char-str
            (b* ((str (downcase-char-str$inline c)))
                (stringp str))
            :rule-classes :type-prescription)