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• Primitive-widening-conversions

Byte-to-float

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

Signature

(byte-to-float operand) → result

Arguments

operand — Guard (byte-valuep operand).

Returns

result — Type (float-valuep result).

Definitions and Theorems

Function: byte-to-float

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

Theorem: float-valuep-of-byte-to-float

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

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

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

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

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