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• Primitive-widening-conversions

Int-to-double

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

Signature

(int-to-double operand) → result

Arguments

operand — Guard (int-valuep operand).

Returns

result — Type (double-valuep result).

Definitions and Theorems

Function: int-to-double

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

Theorem: double-valuep-of-int-to-double

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

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

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

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

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