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• Atc-arrays

Sllong-array-index-okp

Check if a C integer is a valid index (i.e. in range) for an array of type signed long long.

Signature

(sllong-array-index-okp array index) → yes/no

Arguments

array — Guard (sllong-arrayp array).

index — Guard (cintegerp index).

Returns

yes/no — Type (booleanp yes/no).

Definitions and Theorems

Function: sllong-array-index-okp

(defun sllong-array-index-okp (array index)
  (declare (xargs :guard (and (sllong-arrayp array)
                              (cintegerp index))))
  (let ((__function__ 'sllong-array-index-okp))
    (declare (ignorable __function__))
    (integer-range-p 0 (sllong-array-length array)
                     (integer-from-cinteger index))))

Theorem: booleanp-of-sllong-array-index-okp

(defthm booleanp-of-sllong-array-index-okp
  (b* ((yes/no (sllong-array-index-okp array index)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: sllong-array-index-okp-of-sllong-array-fix-array

(defthm sllong-array-index-okp-of-sllong-array-fix-array
  (equal (sllong-array-index-okp (sllong-array-fix array)
                                 index)
         (sllong-array-index-okp array index)))

Theorem: sllong-array-index-okp-sllong-array-equiv-congruence-on-array

(defthm
      sllong-array-index-okp-sllong-array-equiv-congruence-on-array
  (implies (sllong-array-equiv array array-equiv)
           (equal (sllong-array-index-okp array index)
                  (sllong-array-index-okp array-equiv index)))
  :rule-classes :congruence)

Theorem: sllong-array-index-okp-of-cinteger-fix-index

(defthm sllong-array-index-okp-of-cinteger-fix-index
  (equal (sllong-array-index-okp array (cinteger-fix index))
         (sllong-array-index-okp array index)))

Theorem: sllong-array-index-okp-cinteger-equiv-congruence-on-index

(defthm sllong-array-index-okp-cinteger-equiv-congruence-on-index
  (implies (cinteger-equiv index index-equiv)
           (equal (sllong-array-index-okp array index)
                  (sllong-array-index-okp array index-equiv)))
  :rule-classes :congruence)