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• Primitive-narrowing-conversions

Int-to-char

Narrowing conversion from int to char [JLS14:5.1.3].

Signature

(int-to-char operand) → result

Arguments

operand — Guard (int-valuep operand).

Returns

result — Type (char-valuep result).

Definitions and Theorems

Function: int-to-char

(defun int-to-char (operand)
  (declare (xargs :guard (int-valuep operand)))
  (b* ((x (int-value->int operand)))
    (char-value (loghead 16 x))))

Theorem: char-valuep-of-int-to-char

(defthm char-valuep-of-int-to-char
  (b* ((result (int-to-char operand)))
    (char-valuep result))
  :rule-classes :rewrite)

Theorem: int-to-char-of-int-value-fix-operand

(defthm int-to-char-of-int-value-fix-operand
  (equal (int-to-char (int-value-fix operand))
         (int-to-char operand)))

Theorem: int-to-char-int-value-equiv-congruence-on-operand

(defthm int-to-char-int-value-equiv-congruence-on-operand
  (implies (int-value-equiv operand operand-equiv)
           (equal (int-to-char operand)
                  (int-to-char operand-equiv)))
  :rule-classes :congruence)