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• Aignet-construction

Aignet-hash-mux

Implement an if-then-else of the given literals in an AIGNET, or find a node already representing the required logical expression.

Signature

(aignet-hash-mux c tb fb gatesimp strash aignet) 
  → 
(mv result new-strash new-aignet)

Arguments

c — Literal to AND with lit2.
    Guard (litp c).

tb — Guard (litp tb).

fb — Guard (litp fb).

gatesimp — Configuration for how much simplification to try and whether to use hashing.
    Guard (gatesimp-p gatesimp).

strash — Stobj containing the aignet's structural hash table.

Returns

result — Type (litp result).

See aignet-construction.

Definitions and Theorems

Function: aignet-hash-mux

(defun aignet-hash-mux (c tb fb gatesimp strash aignet)
  (declare (xargs :stobjs (strash aignet)))
  (declare (type (unsigned-byte 30) c)
           (type (unsigned-byte 30) tb)
           (type (unsigned-byte 30) fb)
           (type (unsigned-byte 6) gatesimp))
  (declare (xargs :guard (and (litp c)
                              (litp tb)
                              (litp fb)
                              (gatesimp-p gatesimp))))
  (declare (xargs :guard (and (fanin-litp c aignet)
                              (fanin-litp tb aignet)
                              (fanin-litp fb aignet))
                  :split-types t))
  (let ((__function__ 'aignet-hash-mux))
    (declare (ignorable __function__))
    (b* ((aignet (mbe :logic (non-exec (node-list-fix aignet))
                      :exec aignet))
         (c (mbe :logic (non-exec (aignet-lit-fix c aignet))
                 :exec c))
         (tb (mbe :logic (non-exec (aignet-lit-fix tb aignet))
                  :exec tb))
         (fb (mbe :logic (non-exec (aignet-lit-fix fb aignet))
                  :exec fb))
         ((when (eql tb fb))
          (mv tb strash aignet))
         ((when (eql tb (lit-negate fb)))
          (aignet-hash-xor c fb gatesimp strash aignet)))
      (aignet-build (or (and c tb) (and (not c) fb))
                    gatesimp strash aignet))))

Theorem: litp-of-aignet-hash-mux.result

(defthm acl2::litp-of-aignet-hash-mux.result
  (b* (((mv ?result ?new-strash ?new-aignet)
        (aignet-hash-mux c tb fb gatesimp strash aignet)))
    (litp result))
  :rule-classes (:rewrite :type-prescription))

Theorem: aignet-extension-p-of-aignet-hash-mux

(defthm acl2::aignet-extension-p-of-aignet-hash-mux
  (aignet-extension-p
       (mv-nth 2
               (aignet-hash-mux c tb fb gatesimp strash aignet))
       aignet)
  :rule-classes :rewrite)

Theorem: aignet-litp-of-aignet-hash-mux

(defthm aignet-litp-of-aignet-hash-mux
  (b* (((mv ?result ?new-strash ?new-aignet)
        (aignet-hash-mux c tb fb gatesimp strash aignet)))
    (aignet-litp result new-aignet)))

Theorem: deps-of-aignet-hash-mux

(defthm deps-of-aignet-hash-mux
  (b* (((mv ?result ?new-strash ?new-aignet)
        (aignet-hash-mux c tb fb gatesimp strash aignet)))
    (implies (and (not (depends-on (lit->var c) ci-id aignet))
                  (not (depends-on (lit->var tb) ci-id aignet))
                  (not (depends-on (lit->var fb)
                                   ci-id aignet)))
             (not (depends-on (lit->var result)
                              ci-id new-aignet)))))

Theorem: lit-eval-of-aignet-hash-mux

(defthm lit-eval-of-aignet-hash-mux
  (b* (((mv ?result ?new-strash ?new-aignet)
        (aignet-hash-mux c tb fb gatesimp strash aignet)))
    (equal (lit-eval result invals regvals new-aignet)
           (b-ite (lit-eval c invals regvals aignet)
                  (lit-eval tb invals regvals aignet)
                  (lit-eval fb invals regvals aignet)))))

Theorem: stype-counts-preserved-of-aignet-hash-mux

(defthm stype-counts-preserved-of-aignet-hash-mux
  (b* (((mv ?result ?new-strash ?new-aignet)
        (aignet-hash-mux c tb fb gatesimp strash aignet)))
    (implies (and (not (equal (stype-fix stype) (and-stype)))
                  (not (equal (stype-fix stype) (xor-stype))))
             (equal (stype-count stype new-aignet)
                    (stype-count stype aignet)))))

Theorem: unsigned-byte-p-of-aignet-hash-mux

(defthm unsigned-byte-p-of-aignet-hash-mux
  (b* (((mv ?result ?new-strash ?new-aignet)
        (aignet-hash-mux c tb fb gatesimp strash aignet)))
    (implies (and (< (fanin-count aignet) 536870909)
                  (natp n)
                  (<= 30 n))
             (unsigned-byte-p n result))))

Theorem: aignet-hash-mux-of-lit-fix-c

(defthm acl2::aignet-hash-mux-of-lit-fix-c
  (equal (aignet-hash-mux (lit-fix c)
                          tb fb gatesimp strash aignet)
         (aignet-hash-mux c tb fb gatesimp strash aignet)))

Theorem: aignet-hash-mux-lit-equiv-congruence-on-c

(defthm acl2::aignet-hash-mux-lit-equiv-congruence-on-c
  (implies (lit-equiv c acl2::c-equiv)
           (equal (aignet-hash-mux c tb fb gatesimp strash aignet)
                  (aignet-hash-mux acl2::c-equiv
                                   tb fb gatesimp strash aignet)))
  :rule-classes :congruence)

Theorem: aignet-hash-mux-of-lit-fix-tb

(defthm acl2::aignet-hash-mux-of-lit-fix-tb
  (equal (aignet-hash-mux c (lit-fix tb)
                          fb gatesimp strash aignet)
         (aignet-hash-mux c tb fb gatesimp strash aignet)))

Theorem: aignet-hash-mux-lit-equiv-congruence-on-tb

(defthm acl2::aignet-hash-mux-lit-equiv-congruence-on-tb
  (implies (lit-equiv tb acl2::tb-equiv)
           (equal (aignet-hash-mux c tb fb gatesimp strash aignet)
                  (aignet-hash-mux c acl2::tb-equiv
                                   fb gatesimp strash aignet)))
  :rule-classes :congruence)

Theorem: aignet-hash-mux-of-lit-fix-fb

(defthm acl2::aignet-hash-mux-of-lit-fix-fb
  (equal (aignet-hash-mux c tb (lit-fix fb)
                          gatesimp strash aignet)
         (aignet-hash-mux c tb fb gatesimp strash aignet)))

Theorem: aignet-hash-mux-lit-equiv-congruence-on-fb

(defthm acl2::aignet-hash-mux-lit-equiv-congruence-on-fb
 (implies
    (lit-equiv fb acl2::fb-equiv)
    (equal (aignet-hash-mux c tb fb gatesimp strash aignet)
           (aignet-hash-mux c tb
                            acl2::fb-equiv gatesimp strash aignet)))
 :rule-classes :congruence)

Theorem: aignet-hash-mux-of-gatesimp-fix-gatesimp

(defthm acl2::aignet-hash-mux-of-gatesimp-fix-gatesimp
  (equal (aignet-hash-mux c tb fb (gatesimp-fix gatesimp)
                          strash aignet)
         (aignet-hash-mux c tb fb gatesimp strash aignet)))

Theorem: aignet-hash-mux-gatesimp-equiv-congruence-on-gatesimp

(defthm acl2::aignet-hash-mux-gatesimp-equiv-congruence-on-gatesimp
 (implies
    (gatesimp-equiv gatesimp acl2::gatesimp-equiv)
    (equal (aignet-hash-mux c tb fb gatesimp strash aignet)
           (aignet-hash-mux c tb
                            fb acl2::gatesimp-equiv strash aignet)))
 :rule-classes :congruence)

Theorem: aignet-hash-mux-of-node-list-fix-aignet

(defthm acl2::aignet-hash-mux-of-node-list-fix-aignet
  (equal (aignet-hash-mux c tb fb
                          gatesimp strash (node-list-fix aignet))
         (aignet-hash-mux c tb fb gatesimp strash aignet)))

Theorem: aignet-hash-mux-node-list-equiv-congruence-on-aignet

(defthm acl2::aignet-hash-mux-node-list-equiv-congruence-on-aignet
 (implies
    (node-list-equiv aignet acl2::aignet-equiv)
    (equal (aignet-hash-mux c tb fb gatesimp strash aignet)
           (aignet-hash-mux c tb
                            fb gatesimp strash acl2::aignet-equiv)))
 :rule-classes :congruence)