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Atc-arrays

Slong-array-of

Build an array of type signed longfrom a list of its elements.

Signature
(slong-array-of elements) → array
Arguments: elements — Guard (slong-listp elements).
Returns: array — Type (slong-arrayp array).

Definitions and Theorems

Function: slong-array-of

(defun slong-array-of (elements)
  (declare (xargs :guard (slong-listp elements)))
  (declare (xargs :guard (consp elements)))
  (let ((__function__ 'slong-array-of))
    (declare (ignorable __function__))
    (slong-array (type-slong) elements)))

Theorem: slong-arrayp-of-slong-array-of

(defthm slong-arrayp-of-slong-array-of
  (b* ((array (slong-array-of elements)))
    (slong-arrayp array))
  :rule-classes :rewrite)

Theorem: slong-array-of-of-slong-array->elements

(defthm slong-array-of-of-slong-array->elements
  (equal (slong-array-of (slong-array->elements array))
         (slong-array-fix array)))

Theorem: slong-array-of-alt-def

(defthm slong-array-of-alt-def
  (implies (and (slong-listp elems) (consp elems))
           (equal (slong-array-of elems)
                  (make-value-array :elemtype (type-slong)
                                    :elements elems))))

Theorem: slong-array-of-of-slong-list-fix-elements

(defthm slong-array-of-of-slong-list-fix-elements
  (equal (slong-array-of (slong-list-fix elements))
         (slong-array-of elements)))

Theorem: slong-array-of-slong-list-equiv-congruence-on-elements

(defthm slong-array-of-slong-list-equiv-congruence-on-elements
  (implies (slong-list-equiv elements elements-equiv)
           (equal (slong-array-of elements)
                  (slong-array-of elements-equiv)))
  :rule-classes :congruence)