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• Vl-read-any-base

Vl-base-to-radix

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

Signature

(vl-base-to-radix base) → radix

Arguments

base — Guard (character-listp base).

Returns

radix — Type (natp radix).

Definitions and Theorems

Function: vl-base-to-radix

(defun vl-base-to-radix (base)
  (declare (xargs :guard (character-listp base)))
  (let ((__function__ 'vl-base-to-radix))
    (declare (ignorable __function__))
    (cond ((or (member #\h base) (member #\H base))
           16)
          ((or (member #\d base) (member #\D base))
           10)
          ((or (member #\o base) (member #\O base))
           8)
          ((or (member #\b base) (member #\B base))
           2)
          (t (progn$ (raise "programming error")
                     2)))))

Theorem: natp-of-vl-base-to-radix

(defthm natp-of-vl-base-to-radix
  (b* ((radix (vl-base-to-radix base)))
    (natp radix))
  :rule-classes :type-prescription)

Theorem: vl-base-to-radix-upper

(defthm vl-base-to-radix-upper
  (<= (vl-base-to-radix base) 16)
  :rule-classes :linear)

Theorem: vl-base-to-radix-lower

(defthm vl-base-to-radix-lower
  (<= 2 (vl-base-to-radix base))
  :rule-classes :linear)