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• Primitive-widening-conversions

Char-to-double

Widening conversion from char to double [JLS14:5.1.2].

Signature

(char-to-double operand) → result

Arguments

operand — Guard (char-valuep operand).

Returns

result — Type (double-valuep result).

Definitions and Theorems

Function: char-to-double

(defun char-to-double (operand)
  (declare (xargs :guard (char-valuep operand)))
  (b* ((x (char-value->nat operand)))
    (double-value (char-to-double-abs x))))

Theorem: double-valuep-of-char-to-double

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

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

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

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

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