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Vl-streaming-concat-trunc/extend

Signature

(vl-streaming-concat-trunc/extend bitstream target-size concat-size) 
  → 
ans

Arguments

bitstream — Guard (sv::svex-p bitstream).

target-size — Guard (natp target-size).

concat-size — Guard (natp concat-size).

Returns

ans — Type (sv::svex-p ans).

Definitions and Theorems

Function: vl-streaming-concat-trunc/extend

(defun vl-streaming-concat-trunc/extend
       (bitstream target-size concat-size)
  (declare (xargs :guard (and (sv::svex-p bitstream)
                              (natp target-size)
                              (natp concat-size))))
  (let ((__function__ 'vl-streaming-concat-trunc/extend))
    (declare (ignorable __function__))
    (b* ((target-size (lnfix target-size))
         (concat-size (lnfix concat-size)))
      (cond ((> target-size concat-size)
             (sv::svcall sv::concat
                         (svex-int (- target-size concat-size))
                         (svex-int 0)
                         bitstream))
            ((< target-size concat-size)
             (sv::svex-rsh (- concat-size target-size)
                           bitstream))
            (t (sv::svex-fix bitstream))))))

Theorem: svex-p-of-vl-streaming-concat-trunc/extend

(defthm svex-p-of-vl-streaming-concat-trunc/extend
  (b* ((ans (vl-streaming-concat-trunc/extend
                 bitstream target-size concat-size)))
    (sv::svex-p ans))
  :rule-classes :rewrite)

Theorem: vars-of-vl-streaming-concat-trunc/extend

(defthm vars-of-vl-streaming-concat-trunc/extend
  (b* ((?ans (vl-streaming-concat-trunc/extend
                  bitstream target-size concat-size)))
    (implies (not (member v (sv::svex-vars bitstream)))
             (not (member v (sv::svex-vars ans))))))

Theorem: vl-streaming-concat-trunc/extend-of-svex-fix-bitstream

(defthm vl-streaming-concat-trunc/extend-of-svex-fix-bitstream
  (equal (vl-streaming-concat-trunc/extend (sv::svex-fix bitstream)
                                           target-size concat-size)
         (vl-streaming-concat-trunc/extend
              bitstream target-size concat-size)))

Theorem: vl-streaming-concat-trunc/extend-svex-equiv-congruence-on-bitstream

(defthm
 vl-streaming-concat-trunc/extend-svex-equiv-congruence-on-bitstream
 (implies
   (sv::svex-equiv bitstream bitstream-equiv)
   (equal
        (vl-streaming-concat-trunc/extend
             bitstream target-size concat-size)
        (vl-streaming-concat-trunc/extend bitstream-equiv
                                          target-size concat-size)))
 :rule-classes :congruence)

Theorem: vl-streaming-concat-trunc/extend-of-nfix-target-size

(defthm vl-streaming-concat-trunc/extend-of-nfix-target-size
 (equal
      (vl-streaming-concat-trunc/extend bitstream (nfix target-size)
                                        concat-size)
      (vl-streaming-concat-trunc/extend
           bitstream target-size concat-size)))

Theorem: vl-streaming-concat-trunc/extend-nat-equiv-congruence-on-target-size

(defthm
 vl-streaming-concat-trunc/extend-nat-equiv-congruence-on-target-size
 (implies (acl2::nat-equiv target-size target-size-equiv)
          (equal (vl-streaming-concat-trunc/extend
                      bitstream target-size concat-size)
                 (vl-streaming-concat-trunc/extend
                      bitstream
                      target-size-equiv concat-size)))
 :rule-classes :congruence)

Theorem: vl-streaming-concat-trunc/extend-of-nfix-concat-size

(defthm vl-streaming-concat-trunc/extend-of-nfix-concat-size
 (equal
   (vl-streaming-concat-trunc/extend bitstream
                                     target-size (nfix concat-size))
   (vl-streaming-concat-trunc/extend
        bitstream target-size concat-size)))

Theorem: vl-streaming-concat-trunc/extend-nat-equiv-congruence-on-concat-size

(defthm
 vl-streaming-concat-trunc/extend-nat-equiv-congruence-on-concat-size
 (implies (acl2::nat-equiv concat-size concat-size-equiv)
          (equal (vl-streaming-concat-trunc/extend
                      bitstream target-size concat-size)
                 (vl-streaming-concat-trunc/extend
                      bitstream
                      target-size concat-size-equiv)))
 :rule-classes :congruence)