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    • Expand.lisp

    Svtv-1wire->lhs

    Signature
    (svtv-1wire->lhs x modidx moddb aliases) → (mv err lhs)
    Arguments
    x — Guard (stringp x).
    modidx — Guard (natp modidx).
    moddb — Guard (moddb-ok moddb).
    Returns
    lhs — Type (lhs-p lhs).

    Definitions and Theorems

    Function: svtv-1wire->lhs

    (defun svtv-1wire->lhs (x modidx moddb aliases)
     (declare (xargs :stobjs (moddb aliases)))
     (declare (xargs :guard (and (stringp x)
                                 (natp modidx)
                                 (moddb-ok moddb))))
     (declare
          (xargs :guard (svtv-mod-alias-guard modidx moddb aliases)))
     (let ((__function__ 'svtv-1wire->lhs))
      (declare (ignorable __function__))
      (b*
       ((x (mbe :logic (str-fix x) :exec x))
        ((mv err path range-msb range-lsb)
         (svtv-parse-path/select x))
        ((when err) (mv err nil))
        ((mv err wire wireidx bitsel)
         (moddb-path->wireidx/decl path modidx moddb))
        ((when err)
         (mv (msg "Wire not found: ~s0 -- ~@1" x err)
             nil))
        ((when (and bitsel range-msb))
         (mv (msg "Shouldn't have a part-select of a bit-select: ~s0"
                  x)
             nil))
        ((wire wire) wire)
        (wire-lsb (if wire.revp (+ -1 wire.width wire.low-idx)
                    wire.low-idx))
        (wire-msb (if wire.revp wire.low-idx
                    (+ -1 wire.width wire.low-idx)))
        (range-lsb (if range-msb range-lsb
                     (or bitsel wire-lsb)))
        (range-msb (or range-msb bitsel wire-msb))
        (range-ok
         (cond
          (range-msb
           (if wire.revp (and (<= wire.low-idx range-msb)
                              (<= range-msb range-lsb)
                              (< range-lsb (+ wire.low-idx wire.width)))
             (and (<= wire.low-idx range-lsb)
                  (<= range-lsb range-msb)
                  (< range-msb
                     (+ wire.low-idx wire.width)))))
          (bitsel (and (<= wire.low-idx bitsel)
                       (< bitsel (+ wire.low-idx wire.width))))))
        ((unless range-ok)
         (mv (msg "~s0: bit/partselect out of bounds or reversed"
                  x)
             nil))
        (shift (if wire.revp (- wire-lsb range-lsb)
                 (- range-lsb wire-lsb)))
        (range-width (+ 1 (abs (- range-msb range-lsb))))
        (alias (get-alias wireidx aliases)))
       (mv nil
           (lhs-concat range-width (lhs-rsh shift alias)
                       nil)))))

    Theorem: lhs-p-of-svtv-1wire->lhs.lhs

    (defthm lhs-p-of-svtv-1wire->lhs.lhs
      (b* (((mv ?err ?lhs)
            (svtv-1wire->lhs x modidx moddb aliases)))
        (lhs-p lhs))
      :rule-classes :rewrite)

    Theorem: svtv-1wire->lhs-of-str-fix-x

    (defthm svtv-1wire->lhs-of-str-fix-x
      (equal (svtv-1wire->lhs (str-fix x)
                              modidx moddb aliases)
             (svtv-1wire->lhs x modidx moddb aliases)))

    Theorem: svtv-1wire->lhs-streqv-congruence-on-x

    (defthm svtv-1wire->lhs-streqv-congruence-on-x
      (implies (acl2::streqv x x-equiv)
               (equal (svtv-1wire->lhs x modidx moddb aliases)
                      (svtv-1wire->lhs x-equiv modidx moddb aliases)))
      :rule-classes :congruence)

    Theorem: svtv-1wire->lhs-of-nfix-modidx

    (defthm svtv-1wire->lhs-of-nfix-modidx
      (equal (svtv-1wire->lhs x (nfix modidx)
                              moddb aliases)
             (svtv-1wire->lhs x modidx moddb aliases)))

    Theorem: svtv-1wire->lhs-nat-equiv-congruence-on-modidx

    (defthm svtv-1wire->lhs-nat-equiv-congruence-on-modidx
      (implies (nat-equiv modidx modidx-equiv)
               (equal (svtv-1wire->lhs x modidx moddb aliases)
                      (svtv-1wire->lhs x modidx-equiv moddb aliases)))
      :rule-classes :congruence)

    Theorem: svtv-1wire->lhs-of-moddb-fix-moddb

    (defthm svtv-1wire->lhs-of-moddb-fix-moddb
      (equal (svtv-1wire->lhs x modidx (moddb-fix moddb)
                              aliases)
             (svtv-1wire->lhs x modidx moddb aliases)))

    Theorem: svtv-1wire->lhs-moddb-equiv-congruence-on-moddb

    (defthm svtv-1wire->lhs-moddb-equiv-congruence-on-moddb
      (implies (moddb-equiv moddb moddb-equiv)
               (equal (svtv-1wire->lhs x modidx moddb aliases)
                      (svtv-1wire->lhs x modidx moddb-equiv aliases)))
      :rule-classes :congruence)

    Theorem: svtv-1wire->lhs-of-lhslist-fix-aliases

    (defthm svtv-1wire->lhs-of-lhslist-fix-aliases
      (equal (svtv-1wire->lhs x modidx moddb (lhslist-fix aliases))
             (svtv-1wire->lhs x modidx moddb aliases)))

    Theorem: svtv-1wire->lhs-lhslist-equiv-congruence-on-aliases

    (defthm svtv-1wire->lhs-lhslist-equiv-congruence-on-aliases
      (implies (lhslist-equiv aliases aliases-equiv)
               (equal (svtv-1wire->lhs x modidx moddb aliases)
                      (svtv-1wire->lhs x modidx moddb aliases-equiv)))
      :rule-classes :congruence)