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Vl-read-any-base

Matches binary_base | octal_base | decimal_base | hex_base

Signature

(vl-read-any-base echars) → (mv prefix remainder)

Arguments

echars — Guard (vl-echarlist-p echars).

Definitions and Theorems

Function: vl-read-any-base

(defun vl-read-any-base (echars)
  (declare (xargs :guard (vl-echarlist-p echars)))
  (let ((__function__ 'vl-read-any-base))
    (declare (ignorable __function__))
    (b* (((mv prefix remainder)
          (vl-read-hex-base echars))
         ((when prefix) (mv prefix remainder))
         ((mv prefix remainder)
          (vl-read-octal-base echars))
         ((when prefix) (mv prefix remainder))
         ((mv prefix remainder)
          (vl-read-binary-base echars))
         ((when prefix) (mv prefix remainder)))
      (vl-read-decimal-base echars))))

Theorem: prefix-of-vl-read-any-base

(defthm prefix-of-vl-read-any-base
 (and
    (true-listp (mv-nth 0 (vl-read-any-base echars)))
    (implies (force (vl-echarlist-p echars))
             (vl-echarlist-p (mv-nth 0 (vl-read-any-base echars)))))
 :rule-classes
 ((:rewrite)
  (:type-prescription
     :corollary (true-listp (mv-nth 0 (vl-read-any-base echars))))))

Theorem: remainder-of-vl-read-any-base

(defthm remainder-of-vl-read-any-base
 (and
    (equal (true-listp (mv-nth 1 (vl-read-any-base echars)))
           (true-listp echars))
    (implies (force (vl-echarlist-p echars))
             (vl-echarlist-p (mv-nth 1 (vl-read-any-base echars)))))
 :rule-classes
 ((:rewrite)
  (:type-prescription
      :corollary
      (implies (true-listp echars)
               (true-listp (mv-nth 1 (vl-read-any-base echars)))))))

Theorem: append-of-vl-read-any-base

(defthm append-of-vl-read-any-base
  (equal (append (mv-nth 0 (vl-read-any-base echars))
                 (mv-nth 1 (vl-read-any-base echars)))
         echars))

Theorem: no-change-loser-of-vl-read-any-base

(defthm no-change-loser-of-vl-read-any-base
  (implies (not (mv-nth 0 (vl-read-any-base echars)))
           (equal (mv-nth 1 (vl-read-any-base echars))
                  echars)))

Theorem: acl2-count-of-vl-read-any-base-weak

(defthm acl2-count-of-vl-read-any-base-weak
  (<= (acl2-count (mv-nth 1 (vl-read-any-base echars)))
      (acl2-count echars))
  :rule-classes ((:rewrite) (:linear)))

Theorem: acl2-count-of-vl-read-any-base-strong

(defthm acl2-count-of-vl-read-any-base-strong
  (implies (mv-nth 0 (vl-read-any-base echars))
           (< (acl2-count (mv-nth 1 (vl-read-any-base echars)))
              (acl2-count echars)))
  :rule-classes ((:rewrite) (:linear)))

Subtopics

Vl-read-any-base-prefix/remainder-thms

Prefix and remainder theorems for vl-read-any-base, automatically generated by def-prefix/remainder-thms.

Vl-base-to-radix

Determine the radix for a base from vl-read-any-base.

Vl-signed-basep

Determine signedness for a base from vl-read-any-base.