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          • Semantics64
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    • Semantics64

    Exec64-xori

    Semantics of the XORI instruction [ISA:2.4.1].

    Signature
    (exec64-xori rd rs1 imm stat) → new-stat
    Arguments
    rd — Guard (ubyte5p rd).
    rs1 — Guard (ubyte5p rs1).
    imm — Guard (ubyte12p imm).
    stat — Guard (state64p stat).
    Returns
    new-stat — Type (state64p new-stat).

    We read an unsigned 64-bit integer from rs1. We sign-extend the 12-bit immediate to 64 bits, obtaining an unsigned 64-bit integer. We perform a bitwise exclusive `or' of the two unsigned 64-bit integers. We write the result to rd. We increment the program counter.

    Definitions and Theorems

    Function: exec64-xori

    (defun exec64-xori (rd rs1 imm stat)
      (declare (xargs :guard (and (ubyte5p rd)
                                  (ubyte5p rs1)
                                  (ubyte12p imm)
                                  (state64p stat))))
      (let ((__function__ 'exec64-xori))
        (declare (ignorable __function__))
        (b* ((rs1-operand (read64-xreg-unsigned rs1 stat))
             (imm-operand (loghead 64 (logext 12 (ubyte12-fix imm))))
             (result (logxor rs1-operand imm-operand))
             (stat (write64-xreg rd result stat))
             (stat (inc64-pc stat)))
          stat)))

    Theorem: state64p-of-exec64-xori

    (defthm state64p-of-exec64-xori
      (b* ((new-stat (exec64-xori rd rs1 imm stat)))
        (state64p new-stat))
      :rule-classes :rewrite)

    Theorem: exec64-xori-of-ubyte5-fix-rd

    (defthm exec64-xori-of-ubyte5-fix-rd
      (equal (exec64-xori (ubyte5-fix rd)
                          rs1 imm stat)
             (exec64-xori rd rs1 imm stat)))

    Theorem: exec64-xori-ubyte5-equiv-congruence-on-rd

    (defthm exec64-xori-ubyte5-equiv-congruence-on-rd
      (implies (ubyte5-equiv rd rd-equiv)
               (equal (exec64-xori rd rs1 imm stat)
                      (exec64-xori rd-equiv rs1 imm stat)))
      :rule-classes :congruence)

    Theorem: exec64-xori-of-ubyte5-fix-rs1

    (defthm exec64-xori-of-ubyte5-fix-rs1
      (equal (exec64-xori rd (ubyte5-fix rs1)
                          imm stat)
             (exec64-xori rd rs1 imm stat)))

    Theorem: exec64-xori-ubyte5-equiv-congruence-on-rs1

    (defthm exec64-xori-ubyte5-equiv-congruence-on-rs1
      (implies (ubyte5-equiv rs1 rs1-equiv)
               (equal (exec64-xori rd rs1 imm stat)
                      (exec64-xori rd rs1-equiv imm stat)))
      :rule-classes :congruence)

    Theorem: exec64-xori-of-ubyte12-fix-imm

    (defthm exec64-xori-of-ubyte12-fix-imm
      (equal (exec64-xori rd rs1 (ubyte12-fix imm)
                          stat)
             (exec64-xori rd rs1 imm stat)))

    Theorem: exec64-xori-ubyte12-equiv-congruence-on-imm

    (defthm exec64-xori-ubyte12-equiv-congruence-on-imm
      (implies (acl2::ubyte12-equiv imm imm-equiv)
               (equal (exec64-xori rd rs1 imm stat)
                      (exec64-xori rd rs1 imm-equiv stat)))
      :rule-classes :congruence)

    Theorem: exec64-xori-of-state64-fix-stat

    (defthm exec64-xori-of-state64-fix-stat
      (equal (exec64-xori rd rs1 imm (state64-fix stat))
             (exec64-xori rd rs1 imm stat)))

    Theorem: exec64-xori-state64-equiv-congruence-on-stat

    (defthm exec64-xori-state64-equiv-congruence-on-stat
      (implies (state64-equiv stat stat-equiv)
               (equal (exec64-xori rd rs1 imm stat)
                      (exec64-xori rd rs1 imm stat-equiv)))
      :rule-classes :congruence)