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Types

Type-scalarp

Check if a type is a scalar type [C:6.2.5/21].

Signature
(type-scalarp type) → yes/no
Arguments: type — Guard (typep type).
Returns: yes/no — Type (booleanp yes/no).

Definitions and Theorems

Function: type-scalarp

(defun type-scalarp (type)
  (declare (xargs :guard (typep type)))
  (let ((__function__ 'type-scalarp))
    (declare (ignorable __function__))
    (or (type-arithmeticp type)
        (type-case type :pointer))))

Theorem: booleanp-of-type-scalarp

(defthm booleanp-of-type-scalarp
  (b* ((yes/no (type-scalarp type)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: type-scalarp-of-type-fix-type

(defthm type-scalarp-of-type-fix-type
  (equal (type-scalarp (type-fix type))
         (type-scalarp type)))

Theorem: type-scalarp-type-equiv-congruence-on-type

(defthm type-scalarp-type-equiv-congruence-on-type
  (implies (type-equiv type type-equiv)
           (equal (type-scalarp type)
                  (type-scalarp type-equiv)))
  :rule-classes :congruence)