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Semantics32

Exec32-ori

Semantics of the ORI instruction [ISA:2.4.1].

Signature
(exec32-ori rd rs1 imm stat) → new-stat
Arguments: rd — Guard (ubyte5p rd).; rs1 — Guard (ubyte5p rs1).; imm — Guard (ubyte12p imm).; stat — Guard (state32p stat).
Returns: new-stat — Type (state32p new-stat).

We read an unsigned 32-bit integer from rs1. We sign-extend the 12-bit immediate to 32 bits, obtaining an unsigned 32-bit integer. We perform a bitwise inclusive `or' of the two unsigned 32-bit integers. We write the result to rd. We increment the program counter.

Definitions and Theorems

Function: exec32-ori

(defun exec32-ori (rd rs1 imm stat)
  (declare (xargs :guard (and (ubyte5p rd)
                              (ubyte5p rs1)
                              (ubyte12p imm)
                              (state32p stat))))
  (let ((__function__ 'exec32-ori))
    (declare (ignorable __function__))
    (b* ((rs1-operand (read32-xreg-unsigned rs1 stat))
         (imm-operand (loghead 32 (logext 12 (ubyte12-fix imm))))
         (result (logior rs1-operand imm-operand))
         (stat (write32-xreg rd result stat))
         (stat (inc32-pc stat)))
      stat)))

Theorem: state32p-of-exec32-ori

(defthm state32p-of-exec32-ori
  (b* ((new-stat (exec32-ori rd rs1 imm stat)))
    (state32p new-stat))
  :rule-classes :rewrite)

Theorem: exec32-ori-of-ubyte5-fix-rd

(defthm exec32-ori-of-ubyte5-fix-rd
  (equal (exec32-ori (ubyte5-fix rd)
                     rs1 imm stat)
         (exec32-ori rd rs1 imm stat)))

Theorem: exec32-ori-ubyte5-equiv-congruence-on-rd

(defthm exec32-ori-ubyte5-equiv-congruence-on-rd
  (implies (ubyte5-equiv rd rd-equiv)
           (equal (exec32-ori rd rs1 imm stat)
                  (exec32-ori rd-equiv rs1 imm stat)))
  :rule-classes :congruence)

Theorem: exec32-ori-of-ubyte5-fix-rs1

(defthm exec32-ori-of-ubyte5-fix-rs1
  (equal (exec32-ori rd (ubyte5-fix rs1)
                     imm stat)
         (exec32-ori rd rs1 imm stat)))

Theorem: exec32-ori-ubyte5-equiv-congruence-on-rs1

(defthm exec32-ori-ubyte5-equiv-congruence-on-rs1
  (implies (ubyte5-equiv rs1 rs1-equiv)
           (equal (exec32-ori rd rs1 imm stat)
                  (exec32-ori rd rs1-equiv imm stat)))
  :rule-classes :congruence)

Theorem: exec32-ori-of-ubyte12-fix-imm

(defthm exec32-ori-of-ubyte12-fix-imm
  (equal (exec32-ori rd rs1 (ubyte12-fix imm)
                     stat)
         (exec32-ori rd rs1 imm stat)))

Theorem: exec32-ori-ubyte12-equiv-congruence-on-imm

(defthm exec32-ori-ubyte12-equiv-congruence-on-imm
  (implies (acl2::ubyte12-equiv imm imm-equiv)
           (equal (exec32-ori rd rs1 imm stat)
                  (exec32-ori rd rs1 imm-equiv stat)))
  :rule-classes :congruence)

Theorem: exec32-ori-of-state32-fix-stat

(defthm exec32-ori-of-state32-fix-stat
  (equal (exec32-ori rd rs1 imm (state32-fix stat))
         (exec32-ori rd rs1 imm stat)))

Theorem: exec32-ori-state32-equiv-congruence-on-stat

(defthm exec32-ori-state32-equiv-congruence-on-stat
  (implies (state32-equiv stat stat-equiv)
           (equal (exec32-ori rd rs1 imm stat)
                  (exec32-ori rd rs1 imm stat-equiv)))
  :rule-classes :congruence)