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• Primitive-widening-conversions

Long-to-double

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

Signature

(long-to-double operand) → result

Arguments

operand — Guard (long-valuep operand).

Returns

result — Type (double-valuep result).

Definitions and Theorems

Function: long-to-double

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

Theorem: double-valuep-of-long-to-double

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

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

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

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

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