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• Primitive-widening-conversions

Int-to-float

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

Signature

(int-to-float operand) → result

Arguments

operand — Guard (int-valuep operand).

Returns

result — Type (float-valuep result).

Definitions and Theorems

Function: int-to-float

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

Theorem: float-valuep-of-int-to-float

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

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

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

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

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