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• Sv::vl-expr.lisp

Vl-value-in-range

Signature

(vl-value-in-range x range) → *

Arguments

x — Guard (vl-expr-p x).

range — Guard (vl-range-p range).

Definitions and Theorems

Function: vl-value-in-range

(defun vl-value-in-range (x range)
  (declare (xargs :guard (and (vl-expr-p x) (vl-range-p range))))
  (declare (xargs :guard (and (vl-expr-resolved-p x)
                              (vl-range-resolved-p range))))
  (let ((__function__ 'vl-value-in-range))
    (declare (ignorable __function__))
    (b* (((vl-range range))
         (msb (vl-resolved->val range.msb))
         (lsb (vl-resolved->val range.lsb))
         (x (vl-resolved->val x)))
      (or (and (<= msb x) (<= x lsb))
          (and (<= lsb x) (<= x msb))))))

Theorem: vl-value-in-range-of-vl-expr-fix-x

(defthm vl-value-in-range-of-vl-expr-fix-x
  (equal (vl-value-in-range (vl-expr-fix x)
                            range)
         (vl-value-in-range x range)))

Theorem: vl-value-in-range-vl-expr-equiv-congruence-on-x

(defthm vl-value-in-range-vl-expr-equiv-congruence-on-x
  (implies (vl-expr-equiv x x-equiv)
           (equal (vl-value-in-range x range)
                  (vl-value-in-range x-equiv range)))
  :rule-classes :congruence)

Theorem: vl-value-in-range-of-vl-range-fix-range

(defthm vl-value-in-range-of-vl-range-fix-range
  (equal (vl-value-in-range x (vl-range-fix range))
         (vl-value-in-range x range)))

Theorem: vl-value-in-range-vl-range-equiv-congruence-on-range

(defthm vl-value-in-range-vl-range-equiv-congruence-on-range
  (implies (vl-range-equiv range range-equiv)
           (equal (vl-value-in-range x range)
                  (vl-value-in-range x range-equiv)))
  :rule-classes :congruence)