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• Primitive-narrowing-conversions

Char-to-short

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

Signature

(char-to-short operand) → result

Arguments

operand — Guard (char-valuep operand).

Returns

result — Type (short-valuep result).

Definitions and Theorems

Function: char-to-short

(defun char-to-short (operand)
  (declare (xargs :guard (char-valuep operand)))
  (b* ((x (char-value->nat operand)))
    (short-value (logext 16 x))))

Theorem: short-valuep-of-char-to-short

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

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

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

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

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