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• Primitive-narrowing-conversions

Double-to-float

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

Signature

(double-to-float operand) → result

Arguments

operand — Guard (double-valuep operand).

Returns

result — Type (float-valuep result).

Definitions and Theorems

Function: double-to-float

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

Theorem: float-valuep-of-double-to-float

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

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

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

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

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