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Xcr0bits

Xcr0bits->res2

Access the |X86ISA|::|RES2| field of a xcr0bits bit structure.

Signature
(xcr0bits->res2 x) → res2
Arguments: x — Guard (xcr0bits-p x).
Returns: res2 — Type (7bits-p res2).

Definitions and Theorems

Function: xcr0bits->res2$inline

(defun xcr0bits->res2$inline (x)
  (declare (xargs :guard (xcr0bits-p x)))
  (mbe :logic
       (let ((x (xcr0bits-fix x)))
         (part-select x :low 10 :width 7))
       :exec (the (unsigned-byte 7)
                  (logand (the (unsigned-byte 7) 127)
                          (the (unsigned-byte 54)
                               (ash (the (unsigned-byte 64) x)
                                    -10))))))

Theorem: 7bits-p-of-xcr0bits->res2

(defthm 7bits-p-of-xcr0bits->res2
  (b* ((res2 (xcr0bits->res2$inline x)))
    (7bits-p res2))
  :rule-classes :rewrite)

Theorem: xcr0bits->res2$inline-of-xcr0bits-fix-x

(defthm xcr0bits->res2$inline-of-xcr0bits-fix-x
  (equal (xcr0bits->res2$inline (xcr0bits-fix x))
         (xcr0bits->res2$inline x)))

Theorem: xcr0bits->res2$inline-xcr0bits-equiv-congruence-on-x

(defthm xcr0bits->res2$inline-xcr0bits-equiv-congruence-on-x
  (implies (xcr0bits-equiv x x-equiv)
           (equal (xcr0bits->res2$inline x)
                  (xcr0bits->res2$inline x-equiv)))
  :rule-classes :congruence)

Theorem: xcr0bits->res2-of-xcr0bits

(defthm xcr0bits->res2-of-xcr0bits
 (equal
    (xcr0bits->res2 (xcr0bits fpu/mmx-state sse-state
                              avx-state bndreg-state bndcsr-state
                              opmask-state zmm_hi256-state
                              hi16_zmm-state res1 pkru-state res2
                              tileconfig-state tiledata-state res4))
    (7bits-fix res2)))

Theorem: xcr0bits->res2-of-write-with-mask

(defthm xcr0bits->res2-of-write-with-mask
 (implies
  (and
   (fty::bitstruct-read-over-write-hyps x xcr0bits-equiv-under-mask)
   (xcr0bits-equiv-under-mask x y fty::mask)
   (equal (logand (lognot fty::mask) 130048)
          0))
  (equal (xcr0bits->res2 x)
         (xcr0bits->res2 y))))