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• Setting-up-page-tables

Construct-page-tables

Construct page tables that do linear address translation to 1GB page using IA32e paging.

Signature

(construct-page-tables pml4-base-address) → *

Definitions and Theorems

Function: construct-page-tables

(defun construct-page-tables (pml4-base-address)
 (declare (type (unsigned-byte 52)
                pml4-base-address))
 (let ((__function__ 'construct-page-tables))
  (declare (ignorable __function__))
  (let* ((pml4-base-address40
              (loghead 40 (logtail 12 pml4-base-address))))
   (if (and (unsigned-byte-p 40 (1+ (+ 1 pml4-base-address40)))
            (unsigned-byte-p 40 (1+ pml4-base-address40))
            (unsigned-byte-p 52 (+ 8 pml4-base-address)))
       (let* ((table (construct-pml4-table 0 pml4-base-address
                                           (+ 1 pml4-base-address40)
                                           nil)
)
              (acc (list table)))
         (construct-pdp-tables 0 (+ 1 pml4-base-address40)
                               acc))
     nil))))

Theorem: physical-addr-qword-alist-listp-construct-page-tables

(defthm physical-addr-qword-alist-listp-construct-page-tables
  (implies (unsigned-byte-p 52 pml4-base-address)
           (physical-addr-qword-alist-listp
                (construct-page-tables pml4-base-address)))
  :rule-classes (:type-prescription :rewrite))