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Primitive-narrowing-conversions

Float-to-long

Narrowing conversion from float to long [JLS14:5.1.3].

Signature
(float-to-long operand) → result
Arguments: operand — Guard (float-valuep operand).
Returns: result — Type (long-valuep result).

Definitions and Theorems

Function: float-to-long

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

Theorem: long-valuep-of-float-to-long

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

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

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

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

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