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• Cutinfo

!cutinfo->truth

Update the |AIGNET|::|TRUTH| field of a cutinfo bit structure.

Signature

(!cutinfo->truth truth x) → new-x

Arguments

truth — Guard (truth::truth4-p truth).

x — Guard (cutinfo-p x).

Returns

new-x — Type (cutinfo-p new-x).

Definitions and Theorems

Function: !cutinfo->truth

(defun !cutinfo->truth (truth x)
 (declare (xargs :guard (and (truth::truth4-p truth)
                             (cutinfo-p x))))
 (mbe
     :logic
     (b* ((truth (mbe :logic (truth::truth4-fix$ truth)
                      :exec truth))
          (x (cutinfo-fix x)))
       (part-install truth x :width 16 :low 0))
     :exec (the (unsigned-byte 32)
                (logior (the (unsigned-byte 32)
                             (logand (the (unsigned-byte 32) x)
                                     (the (signed-byte 17) -65536)))
                        (the (unsigned-byte 16) truth)))))

Theorem: cutinfo-p-of-!cutinfo->truth

(defthm cutinfo-p-of-!cutinfo->truth
  (b* ((new-x (!cutinfo->truth truth x)))
    (cutinfo-p new-x))
  :rule-classes :rewrite)

Theorem: !cutinfo->truth-of-truth4-fix$-truth

(defthm !cutinfo->truth-of-truth4-fix$-truth
  (equal (!cutinfo->truth (truth::truth4-fix$ truth)
                          x)
         (!cutinfo->truth truth x)))

Theorem: !cutinfo->truth-truth4-equiv-congruence-on-truth

(defthm !cutinfo->truth-truth4-equiv-congruence-on-truth
  (implies (truth::truth4-equiv truth truth-equiv)
           (equal (!cutinfo->truth truth x)
                  (!cutinfo->truth truth-equiv x)))
  :rule-classes :congruence)

Theorem: !cutinfo->truth-of-cutinfo-fix-x

(defthm !cutinfo->truth-of-cutinfo-fix-x
  (equal (!cutinfo->truth truth (cutinfo-fix x))
         (!cutinfo->truth truth x)))

Theorem: !cutinfo->truth-cutinfo-equiv-congruence-on-x

(defthm !cutinfo->truth-cutinfo-equiv-congruence-on-x
  (implies (cutinfo-equiv x x-equiv)
           (equal (!cutinfo->truth truth x)
                  (!cutinfo->truth truth x-equiv)))
  :rule-classes :congruence)

Theorem: !cutinfo->truth-is-cutinfo

(defthm !cutinfo->truth-is-cutinfo
  (equal (!cutinfo->truth truth x)
         (change-cutinfo x :truth truth)))

Theorem: cutinfo->truth-of-!cutinfo->truth

(defthm cutinfo->truth-of-!cutinfo->truth
  (b* ((?new-x (!cutinfo->truth truth x)))
    (equal (cutinfo->truth new-x)
           (truth::truth4-fix$ truth))))

Theorem: !cutinfo->truth-equiv-under-mask

(defthm !cutinfo->truth-equiv-under-mask
  (b* ((?new-x (!cutinfo->truth truth x)))
    (cutinfo-equiv-under-mask new-x x -65536)))