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Representation-of-integer-operations

Shr-uchar-sshort

Right shift of a value of type unsigned char and a value of type signed short [C:6.5.7].

Definitions and Theorems

Function: shr-uchar-sshort

(defun shr-uchar-sshort (x y)
  (declare (xargs :guard (and (ucharp x)
                              (sshortp y)
                              (shr-uchar-sshort-okp x y))))
  (shr-uchar x (integer-from-sshort y)))

Theorem: sintp-of-shr-uchar-sshort

(defthm sintp-of-shr-uchar-sshort
  (sintp (shr-uchar-sshort x y)))

Theorem: shr-uchar-sshort-of-uchar-fix-x

(defthm shr-uchar-sshort-of-uchar-fix-x
  (equal (shr-uchar-sshort (uchar-fix x) y)
         (shr-uchar-sshort x y)))

Theorem: shr-uchar-sshort-uchar-equiv-congruence-on-x

(defthm shr-uchar-sshort-uchar-equiv-congruence-on-x
  (implies (uchar-equiv x x-equiv)
           (equal (shr-uchar-sshort x y)
                  (shr-uchar-sshort x-equiv y)))
  :rule-classes :congruence)

Theorem: shr-uchar-sshort-of-sshort-fix-y

(defthm shr-uchar-sshort-of-sshort-fix-y
  (equal (shr-uchar-sshort x (sshort-fix y))
         (shr-uchar-sshort x y)))

Theorem: shr-uchar-sshort-sshort-equiv-congruence-on-y

(defthm shr-uchar-sshort-sshort-equiv-congruence-on-y
  (implies (sshort-equiv y y-equiv)
           (equal (shr-uchar-sshort x y)
                  (shr-uchar-sshort x y-equiv)))
  :rule-classes :congruence)