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Shrd-spec

Shrd-spec-32

Signature
(shrd-spec-32 dst src cnt input-rflags) → (mv output-dst undefined-dst? output-rflags undefined-flags)
Arguments: cnt — Note that cnt is masked appropriately by the caller of this function..

Definitions and Theorems

Function: shrd-spec-32

(defun shrd-spec-32 (dst src cnt input-rflags)
 (declare (type (unsigned-byte 32) dst)
          (type (unsigned-byte 32) src)
          (type (unsigned-byte 6) cnt)
          (type (unsigned-byte 32) input-rflags))
 (let ((__function__ 'shrd-spec-32))
  (declare (ignorable __function__))
  (b*
   ((dst (mbe :logic (n-size 32 dst) :exec dst))
    (src (mbe :logic (n-size 32 src) :exec src))
    (cnt (mbe :logic (n-size 6 cnt) :exec cnt))
    (input-rflags (mbe :logic (n32 input-rflags)
                       :exec input-rflags))
    (src-dst
         (the (unsigned-byte 64)
              (logior (the (unsigned-byte 64)
                           (ash (the (unsigned-byte 32) src) 32))
                      (the (unsigned-byte 32) dst))))
    (neg-cnt (the (signed-byte 33) (- cnt)))
    (output-dst (the (unsigned-byte 32)
                     (n-size 32
                             (ash (the (unsigned-byte 64) src-dst)
                                  (the (signed-byte 33) neg-cnt)))))
    ((mv (the (unsigned-byte 32) output-rflags)
         (the (unsigned-byte 32)
              undefined-flags))
     (case cnt
      (0 (mv input-rflags 0))
      (1
       (b*
        ((cf (mbe :logic (part-select dst :low 0 :width 1)
                  :exec (the (unsigned-byte 1)
                             (logand (the (unsigned-byte 32) dst)
                                     1))))
         (of (if (= (logbit 31 dst)
                    (logbit 31 output-dst))
                 0
               1))
         (pf (general-pf-spec 32 output-dst))
         (zf (zf-spec output-dst))
         (sf (general-sf-spec 32 output-dst))
         (output-rflags
          (mbe
           :logic (change-rflagsbits input-rflags
                                     :cf cf
                                     :of of
                                     :pf pf
                                     :zf zf
                                     :sf sf)
           :exec
           (the
            (unsigned-byte 32)
            (!rflagsbits->cf
             cf
             (!rflagsbits->of
                  of
                  (!rflagsbits->pf
                       pf
                       (!rflagsbits->zf
                            zf
                            (!rflagsbits->sf sf input-rflags))))))))
         (undefined-flags (the (unsigned-byte 32)
                               (!rflagsbits->af 1 0))))
        (mv output-rflags undefined-flags)))
      (otherwise
       (if
        (<= cnt 32)
        (b*
         ((cf
           (mbe
             :logic (part-select dst :low (1- cnt) :width 1)
             :exec
             (logand
                  1
                  (the (unsigned-byte 32)
                       (ash (the (unsigned-byte 32) dst)
                            (the (signed-byte 33) (1+ neg-cnt)))))))
          (pf (general-pf-spec 32 output-dst))
          (zf (zf-spec output-dst))
          (sf (general-sf-spec 32 output-dst))
          (output-rflags
           (mbe
            :logic (change-rflagsbits input-rflags
                                      :cf cf
                                      :pf pf
                                      :zf zf
                                      :sf sf)
            :exec
            (the
              (unsigned-byte 32)
              (!rflagsbits->cf
                   cf
                   (!rflagsbits->pf
                        pf
                        (!rflagsbits->zf
                             zf
                             (!rflagsbits->sf sf input-rflags)))))))
          (undefined-flags
             (mbe :logic (change-rflagsbits 0 :af 1 :of 1)
                  :exec (!rflagsbits->af 1 (!rflagsbits->of 1 0)))))
         (mv output-rflags undefined-flags))
        (b*
         ((output-rflags input-rflags)
          (undefined-flags
           (the
            (unsigned-byte 32)
            (!rflagsbits->cf
             1
             (!rflagsbits->of
              1
              (!rflagsbits->pf
                  1
                  (!rflagsbits->zf
                       1
                       (!rflagsbits->sf
                            1
                            (!rflagsbits->af 1 input-rflags)))))))))
         (mv output-rflags undefined-flags))))))
    (output-rflags (mbe :logic (n32 output-rflags)
                        :exec output-rflags))
    (undefined-flags (mbe :logic (n32 undefined-flags)
                          :exec undefined-flags)))
   (mv output-dst (> cnt 32)
       output-rflags undefined-flags))))

Theorem: n32-mv-nth-0-shrd-spec-32

(defthm n32-mv-nth-0-shrd-spec-32
 (unsigned-byte-p 32
                  (mv-nth 0
                          (shrd-spec-32 dst src cnt input-rflags)))
 :rule-classes
 (:rewrite
  (:type-prescription
      :corollary
      (natp (mv-nth 0
                    (shrd-spec-32 dst src cnt input-rflags)))
      :hints
      (("Goal" :in-theory '(unsigned-byte-p integer-range-p natp))))
  (:linear
   :corollary
   (and (<= 0
            (mv-nth 0
                    (shrd-spec-32 dst src cnt input-rflags)))
        (< (mv-nth 0
                   (shrd-spec-32 dst src cnt input-rflags))
           4294967296))
   :hints
   (("Goal"
        :in-theory '(unsigned-byte-p integer-range-p (:e expt)))))))

Theorem: booleanp-mv-nth-1-shrd-spec-32

(defthm booleanp-mv-nth-1-shrd-spec-32
  (booleanp (mv-nth 1
                    (shrd-spec-32 dst src cnt input-rflags))))

Theorem: mv-nth-2-shrd-spec-32

(defthm mv-nth-2-shrd-spec-32
 (unsigned-byte-p 32
                  (mv-nth 2
                          (shrd-spec-32 dst src cnt input-rflags)))
 :rule-classes
 (:rewrite
  (:type-prescription
      :corollary
      (natp (mv-nth 2
                    (shrd-spec-32 dst src cnt input-rflags)))
      :hints
      (("Goal" :in-theory '(unsigned-byte-p integer-range-p natp))))
  (:linear
   :corollary
   (and (<= 0
            (mv-nth 2
                    (shrd-spec-32 dst src cnt input-rflags)))
        (< (mv-nth 2
                   (shrd-spec-32 dst src cnt input-rflags))
           4294967296))
   :hints
   (("Goal"
        :in-theory '(unsigned-byte-p integer-range-p (:e expt)))))))

Theorem: mv-nth-3-shrd-spec-32

(defthm mv-nth-3-shrd-spec-32
 (unsigned-byte-p 32
                  (mv-nth 3
                          (shrd-spec-32 dst src cnt input-rflags)))
 :rule-classes
 (:rewrite
  (:type-prescription
      :corollary
      (natp (mv-nth 3
                    (shrd-spec-32 dst src cnt input-rflags)))
      :hints
      (("Goal" :in-theory '(unsigned-byte-p integer-range-p natp))))
  (:linear
   :corollary
   (and (<= 0
            (mv-nth 3
                    (shrd-spec-32 dst src cnt input-rflags)))
        (< (mv-nth 3
                   (shrd-spec-32 dst src cnt input-rflags))
           4294967296))
   :hints
   (("Goal"
        :in-theory '(unsigned-byte-p integer-range-p (:e expt)))))))