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Evex-byte3

Evex-byte3->aaa

Access the |X86ISA|::|AAA| field of a evex-byte3 bit structure.

Signature
(evex-byte3->aaa x) → aaa
Arguments: x — Guard (evex-byte3-p x).
Returns: aaa — Type (3bits-p aaa).

Definitions and Theorems

Function: evex-byte3->aaa$inline

(defun evex-byte3->aaa$inline (x)
  (declare (xargs :guard (evex-byte3-p x)))
  (mbe :logic
       (let ((x (evex-byte3-fix x)))
         (part-select x :low 0 :width 3))
       :exec (the (unsigned-byte 3)
                  (logand (the (unsigned-byte 3) 7)
                          (the (unsigned-byte 8) x)))))

Theorem: 3bits-p-of-evex-byte3->aaa

(defthm 3bits-p-of-evex-byte3->aaa
  (b* ((aaa (evex-byte3->aaa$inline x)))
    (3bits-p aaa))
  :rule-classes :rewrite)

Theorem: evex-byte3->aaa$inline-of-evex-byte3-fix-x

(defthm evex-byte3->aaa$inline-of-evex-byte3-fix-x
  (equal (evex-byte3->aaa$inline (evex-byte3-fix x))
         (evex-byte3->aaa$inline x)))

Theorem: evex-byte3->aaa$inline-evex-byte3-equiv-congruence-on-x

(defthm evex-byte3->aaa$inline-evex-byte3-equiv-congruence-on-x
  (implies (evex-byte3-equiv x x-equiv)
           (equal (evex-byte3->aaa$inline x)
                  (evex-byte3->aaa$inline x-equiv)))
  :rule-classes :congruence)

Theorem: evex-byte3->aaa-of-evex-byte3

(defthm evex-byte3->aaa-of-evex-byte3
  (equal (evex-byte3->aaa (evex-byte3 aaa v-prime b vl/rc z))
         (3bits-fix aaa)))

Theorem: evex-byte3->aaa-of-write-with-mask

(defthm evex-byte3->aaa-of-write-with-mask
  (implies (and (fty::bitstruct-read-over-write-hyps
                     x evex-byte3-equiv-under-mask)
                (evex-byte3-equiv-under-mask x y fty::mask)
                (equal (logand (lognot fty::mask) 7) 0))
           (equal (evex-byte3->aaa x)
                  (evex-byte3->aaa y))))