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• Poseidon-main-definition

Full-rounds

Perform a sequence of full rounds.

Signature

(full-rounds stat constants alpha partial-first-p mds prime) 
  → 
new-stat

Arguments

stat — Guard (fe-listp stat prime).

constants — Guard (fe-list-listp constants prime).

alpha — Guard (integerp alpha).

partial-first-p — Guard (booleanp partial-first-p).

mds — Guard (fe-list-listp mds prime).

prime — Guard (primep prime).

Returns

new-stat — Type (fe-listp new-stat prime), given (and (primep prime) (fe-listp stat prime)).

The number of full rounds in the sequence is determined by the length of the list of lists of constants passed as input.

Definitions and Theorems

Function: full-rounds

(defun full-rounds (stat constants
                         alpha partial-first-p mds prime)
  (declare (xargs :guard (and (integerp alpha)
                              (booleanp partial-first-p)
                              (primep prime)
                              (fe-listp stat prime)
                              (fe-list-listp constants prime)
                              (fe-list-listp mds prime))))
  (declare (xargs :guard (and (all-len-equal-p constants (len stat))
                              (all-len-equal-p mds (len stat))
                              (equal (len mds) (len stat)))))
  (let ((__function__ 'full-rounds))
    (declare (ignorable __function__))
    (b* (((when (endp constants)) stat)
         (stat (round stat (car constants)
                      alpha partial-first-p mds prime t)))
      (full-rounds stat (cdr constants)
                   alpha partial-first-p mds prime))))

Theorem: fe-listp-of-full-rounds

(defthm fe-listp-of-full-rounds
 (implies
      (and (primep prime)
           (fe-listp stat prime))
      (b* ((new-stat (full-rounds stat constants
                                  alpha partial-first-p mds prime)))
        (fe-listp new-stat prime)))
 :rule-classes :rewrite)

Theorem: len-of-full-rounds

(defthm len-of-full-rounds
 (implies
     (equal (len mds) (len stat))
     (b* ((?new-stat (full-rounds stat constants
                                  alpha partial-first-p mds prime)))
       (equal (len new-stat) (len stat)))))