		Search-engine friendly clone of the ACL2 documentation.

Rcr-spec

Rcr-spec-16

Signature
(rcr-spec-16 dst src input-rflags) → (mv * * *)
Arguments: src — Note that src is masked appropriately by the caller of this function.

Definitions and Theorems

Function: rcr-spec-16

(defun rcr-spec-16 (dst src input-rflags)
 (declare (type (unsigned-byte 16) dst)
          (type (unsigned-byte 6) src)
          (type (unsigned-byte 32) input-rflags))
 (let ((__function__ 'rcr-spec-16))
  (declare (ignorable __function__))
  (b*
   ((dst (mbe :logic (n-size 16 dst) :exec dst))
    (src (mbe :logic (n-size 6 src) :exec src))
    (input-rflags (mbe :logic (n32 input-rflags)
                       :exec input-rflags))
    (input-cf (the (unsigned-byte 1)
                   (rflagsbits->cf input-rflags)))
    (new-dst (mbe :logic (part-install input-cf dst
                                       :low 16
                                       :width 1)
                  :exec (the (unsigned-byte 17)
                             (logior (the (unsigned-byte 17)
                                          (ash input-cf 16))
                                     dst))))
    (raw-result (the (unsigned-byte 17)
                     (fast-rotate-right new-dst 17 src)))
    (result (the (unsigned-byte 16)
                 (n-size 16 raw-result)))
    ((mv (the (unsigned-byte 32) output-rflags)
         (the (unsigned-byte 32)
              undefined-flags))
     (case src
      (0 (mv input-rflags 0))
      (1
       (b*
        ((cf
          (mbe :logic (logbit 16 raw-result)
               :exec
               (logand 1
                       (the (unsigned-byte 1)
                            (ash (the (unsigned-byte 17) raw-result)
                                 -16)))))
         (of
          (b-xor
           (mbe
             :logic (logbit 15 result)
             :exec (logand 1
                           (the (unsigned-byte 1)
                                (ash (the (unsigned-byte 16) result)
                                     -15))))
           (mbe
             :logic (part-select result :low 14 :width 1)
             :exec (logand 1
                           (the (unsigned-byte 2)
                                (ash (the (unsigned-byte 16) result)
                                     -14))))))
         (output-rflags
          (mbe
           :logic (change-rflagsbits input-rflags
                                     :cf cf
                                     :of of)
           :exec
           (the
             (unsigned-byte 32)
             (!rflagsbits->cf cf
                              (!rflagsbits->of of input-rflags))))))
        (mv output-rflags 0)))
      (otherwise
       (b*
        ((cf
          (mbe
           :logic (logbit 16 raw-result)
           :exec
           (the
               (unsigned-byte 1)
               (logand 1
                       (the (unsigned-byte 1)
                            (ash (the (unsigned-byte 17) raw-result)
                                 -16))))))
         (output-rflags (the (unsigned-byte 32)
                             (!rflagsbits->cf cf input-rflags)))
         (undefined-flags (the (unsigned-byte 32)
                               (!rflagsbits->of 1 0))))
        (mv output-rflags undefined-flags))))))
   (mv result output-rflags undefined-flags))))

Theorem: n16-mv-nth-0-rcr-spec-16

(defthm n16-mv-nth-0-rcr-spec-16
 (unsigned-byte-p 16
                  (mv-nth 0 (rcr-spec-16 dst src output-rflags)))
 :rule-classes
 (:rewrite
  (:type-prescription
    :corollary (natp (mv-nth 0 (rcr-spec-16 dst src output-rflags)))
    :hints
    (("Goal" :in-theory '(unsigned-byte-p integer-range-p natp))))
  (:linear
   :corollary
   (and (<= 0
            (mv-nth 0 (rcr-spec-16 dst src output-rflags)))
        (< (mv-nth 0 (rcr-spec-16 dst src output-rflags))
           65536))
   :hints
   (("Goal"
        :in-theory '(unsigned-byte-p integer-range-p (:e expt)))))))

Theorem: mv-nth-1-rcr-spec-16

(defthm mv-nth-1-rcr-spec-16
 (unsigned-byte-p 32
                  (mv-nth 1 (rcr-spec-16 dst src output-rflags)))
 :rule-classes
 (:rewrite
  (:type-prescription
    :corollary (natp (mv-nth 1 (rcr-spec-16 dst src output-rflags)))
    :hints
    (("Goal" :in-theory '(unsigned-byte-p integer-range-p natp))))
  (:linear
   :corollary
   (and (<= 0
            (mv-nth 1 (rcr-spec-16 dst src output-rflags)))
        (< (mv-nth 1 (rcr-spec-16 dst src output-rflags))
           4294967296))
   :hints
   (("Goal"
        :in-theory '(unsigned-byte-p integer-range-p (:e expt)))))))

Theorem: mv-nth-2-rcr-spec-16

(defthm mv-nth-2-rcr-spec-16
 (unsigned-byte-p 32
                  (mv-nth 2 (rcr-spec-16 dst src output-rflags)))
 :rule-classes
 (:rewrite
  (:type-prescription
    :corollary (natp (mv-nth 2 (rcr-spec-16 dst src output-rflags)))
    :hints
    (("Goal" :in-theory '(unsigned-byte-p integer-range-p natp))))
  (:linear
   :corollary
   (and (<= 0
            (mv-nth 2 (rcr-spec-16 dst src output-rflags)))
        (< (mv-nth 2 (rcr-spec-16 dst src output-rflags))
           4294967296))
   :hints
   (("Goal"
        :in-theory '(unsigned-byte-p integer-range-p (:e expt)))))))