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Encoding

Encode-op-32-funct

Encode the name of an instruction with the OP-32 opcode into the funct3 and funct7 fields [ISA:4.2.2] [ISA:12.1] [ISA:12.2] [ISA:35].

Signature
(encode-op-32-funct funct) → (mv funct3 funct7)
Arguments: funct — Guard (op-32-funct-p funct).
Returns: funct3 — Type (ubyte3p funct3).; funct7 — Type (ubyte7p funct7).

Definitions and Theorems

Function: encode-op-32-funct

(defun encode-op-32-funct (funct)
  (declare (xargs :guard (op-32-funct-p funct)))
  (op-32-funct-case funct
                    :addw (mv 0 0)
                    :subw (mv 0 32)
                    :sllw (mv 1 0)
                    :srlw (mv 5 0)
                    :sraw (mv 5 32)
                    :mulw (mv 0 1)
                    :divw (mv 4 1)
                    :divuw (mv 5 1)
                    :remw (mv 6 1)
                    :remuw (mv 7 1)))

Theorem: ubyte3p-of-encode-op-32-funct.funct3

(defthm ubyte3p-of-encode-op-32-funct.funct3
  (b* (((mv ?funct3 ?funct7)
        (encode-op-32-funct funct)))
    (ubyte3p funct3))
  :rule-classes :rewrite)

Theorem: ubyte7p-of-encode-op-32-funct.funct7

(defthm ubyte7p-of-encode-op-32-funct.funct7
  (b* (((mv ?funct3 ?funct7)
        (encode-op-32-funct funct)))
    (ubyte7p funct7))
  :rule-classes :rewrite)

Theorem: encode-op-32-funct-of-op-32-funct-fix-funct

(defthm encode-op-32-funct-of-op-32-funct-fix-funct
  (equal (encode-op-32-funct (op-32-funct-fix funct))
         (encode-op-32-funct funct)))

Theorem: encode-op-32-funct-op-32-funct-equiv-congruence-on-funct

(defthm encode-op-32-funct-op-32-funct-equiv-congruence-on-funct
  (implies (op-32-funct-equiv funct funct-equiv)
           (equal (encode-op-32-funct funct)
                  (encode-op-32-funct funct-equiv)))
  :rule-classes :congruence)