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Exec-lui

Semantics of the LUI instruction [ISA:4.2.1].

Signature

(exec-lui rd imm stat feat) → new-stat

Arguments

rd — Guard (ubyte5p rd).

imm — Guard (ubyte20p imm).

stat — Guard (statp stat).

feat — Guard (featp feat).

Returns

new-stat — Type (statp new-stat).

We use the 20 bits of the immediate as the high bits of an unsigned 32-bit integer, whose low bits are 0. In 32-bit mode, we write the integer to rd; in 64-bit mode, we write the integer to rd as a signed 32-bit integer. We increment the program counter.

Definitions and Theorems

Function: exec-lui

(defun exec-lui (rd imm stat feat)
  (declare (xargs :guard (and (ubyte5p rd)
                              (ubyte20p imm)
                              (statp stat)
                              (featp feat))))
  (declare (xargs :guard (stat-validp stat feat)))
  (let ((__function__ 'exec-lui))
    (declare (ignorable __function__))
    (b* ((result (ash (ubyte20-fix imm) 12))
         (stat (cond ((feat-32p feat)
                      (write-xreg (ubyte5-fix rd)
                                  result stat feat))
                     ((feat-64p feat)
                      (write-xreg-32 (ubyte5-fix rd)
                                     result stat feat))
                     (t (impossible))))
         (stat (inc4-pc stat feat)))
      stat)))

Theorem: statp-of-exec-lui

(defthm statp-of-exec-lui
  (b* ((new-stat (exec-lui rd imm stat feat)))
    (statp new-stat))
  :rule-classes :rewrite)

Theorem: exec-lui-of-ubyte5-fix-rd

(defthm exec-lui-of-ubyte5-fix-rd
  (equal (exec-lui (ubyte5-fix rd) imm stat feat)
         (exec-lui rd imm stat feat)))

Theorem: exec-lui-ubyte5-equiv-congruence-on-rd

(defthm exec-lui-ubyte5-equiv-congruence-on-rd
  (implies (ubyte5-equiv rd rd-equiv)
           (equal (exec-lui rd imm stat feat)
                  (exec-lui rd-equiv imm stat feat)))
  :rule-classes :congruence)

Theorem: exec-lui-of-ubyte20-fix-imm

(defthm exec-lui-of-ubyte20-fix-imm
  (equal (exec-lui rd (ubyte20-fix imm)
                   stat feat)
         (exec-lui rd imm stat feat)))

Theorem: exec-lui-ubyte20-equiv-congruence-on-imm

(defthm exec-lui-ubyte20-equiv-congruence-on-imm
  (implies (acl2::ubyte20-equiv imm imm-equiv)
           (equal (exec-lui rd imm stat feat)
                  (exec-lui rd imm-equiv stat feat)))
  :rule-classes :congruence)

Theorem: exec-lui-of-stat-fix-stat

(defthm exec-lui-of-stat-fix-stat
  (equal (exec-lui rd imm (stat-fix stat) feat)
         (exec-lui rd imm stat feat)))

Theorem: exec-lui-stat-equiv-congruence-on-stat

(defthm exec-lui-stat-equiv-congruence-on-stat
  (implies (stat-equiv stat stat-equiv)
           (equal (exec-lui rd imm stat feat)
                  (exec-lui rd imm stat-equiv feat)))
  :rule-classes :congruence)

Theorem: exec-lui-of-feat-fix-feat

(defthm exec-lui-of-feat-fix-feat
  (equal (exec-lui rd imm stat (feat-fix feat))
         (exec-lui rd imm stat feat)))

Theorem: exec-lui-feat-equiv-congruence-on-feat

(defthm exec-lui-feat-equiv-congruence-on-feat
  (implies (feat-equiv feat feat-equiv)
           (equal (exec-lui rd imm stat feat)
                  (exec-lui rd imm stat feat-equiv)))
  :rule-classes :congruence)