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• Semantics

Exec-op-32

Semantics of the instructions with the OP-32 opcode [ISA:4.2.2] [ISA:13.1] [ISA:13.2].

Signature

(exec-op-32 funct rd rs1 rs2 stat feat) → new-stat

Arguments

funct — Guard (op-32-funct-p funct).

rd — Guard (ubyte5p rd).

rs1 — Guard (ubyte5p rs1).

rs2 — Guard (ubyte5p rs2).

stat — Guard (statp stat).

feat — Guard (featp feat).

Returns

new-stat — Type (statp new-stat).

Definitions and Theorems

Function: exec-op-32

(defun exec-op-32 (funct rd rs1 rs2 stat feat)
  (declare (xargs :guard (and (op-32-funct-p funct)
                              (ubyte5p rd)
                              (ubyte5p rs1)
                              (ubyte5p rs2)
                              (statp stat)
                              (featp feat))))
  (declare (xargs :guard (and (feat-64p feat)
                              (stat-validp stat feat))))
  (let ((__function__ 'exec-op-32))
    (declare (ignorable __function__))
    (op-32-funct-case funct
                      :addw (exec-addw rd rs1 rs2 stat feat)
                      :subw (exec-subw rd rs1 rs2 stat feat)
                      :sllw (exec-sllw rd rs1 rs2 stat feat)
                      :srlw (exec-srlw rd rs1 rs2 stat feat)
                      :sraw (exec-sraw rd rs1 rs2 stat feat)
                      :mulw (exec-mulw rd rs1 rs2 stat feat)
                      :divw (exec-divw rd rs1 rs2 stat feat)
                      :divuw (exec-divuw rd rs1 rs2 stat feat)
                      :remw (exec-remw rd rs1 rs2 stat feat)
                      :remuw (exec-remuw rd rs1 rs2 stat feat))))

Theorem: statp-of-exec-op-32

(defthm statp-of-exec-op-32
  (b* ((new-stat (exec-op-32 funct rd rs1 rs2 stat feat)))
    (statp new-stat))
  :rule-classes :rewrite)

Theorem: stat-validp-of-exec-op-32

(defthm stat-validp-of-exec-op-32
  (implies (stat-validp stat feat)
           (b* ((?new-stat (exec-op-32 funct rd rs1 rs2 stat feat)))
             (stat-validp new-stat feat))))

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

(defthm exec-op-32-of-op-32-funct-fix-funct
  (equal (exec-op-32 (op-32-funct-fix funct)
                     rd rs1 rs2 stat feat)
         (exec-op-32 funct rd rs1 rs2 stat feat)))

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

(defthm exec-op-32-op-32-funct-equiv-congruence-on-funct
  (implies (op-32-funct-equiv funct funct-equiv)
           (equal (exec-op-32 funct rd rs1 rs2 stat feat)
                  (exec-op-32 funct-equiv rd rs1 rs2 stat feat)))
  :rule-classes :congruence)

Theorem: exec-op-32-of-ubyte5-fix-rd

(defthm exec-op-32-of-ubyte5-fix-rd
  (equal (exec-op-32 funct (ubyte5-fix rd)
                     rs1 rs2 stat feat)
         (exec-op-32 funct rd rs1 rs2 stat feat)))

Theorem: exec-op-32-ubyte5-equiv-congruence-on-rd

(defthm exec-op-32-ubyte5-equiv-congruence-on-rd
  (implies (ubyte5-equiv rd rd-equiv)
           (equal (exec-op-32 funct rd rs1 rs2 stat feat)
                  (exec-op-32 funct rd-equiv rs1 rs2 stat feat)))
  :rule-classes :congruence)

Theorem: exec-op-32-of-ubyte5-fix-rs1

(defthm exec-op-32-of-ubyte5-fix-rs1
  (equal (exec-op-32 funct rd (ubyte5-fix rs1)
                     rs2 stat feat)
         (exec-op-32 funct rd rs1 rs2 stat feat)))

Theorem: exec-op-32-ubyte5-equiv-congruence-on-rs1

(defthm exec-op-32-ubyte5-equiv-congruence-on-rs1
  (implies (ubyte5-equiv rs1 rs1-equiv)
           (equal (exec-op-32 funct rd rs1 rs2 stat feat)
                  (exec-op-32 funct rd rs1-equiv rs2 stat feat)))
  :rule-classes :congruence)

Theorem: exec-op-32-of-ubyte5-fix-rs2

(defthm exec-op-32-of-ubyte5-fix-rs2
  (equal (exec-op-32 funct rd rs1 (ubyte5-fix rs2)
                     stat feat)
         (exec-op-32 funct rd rs1 rs2 stat feat)))

Theorem: exec-op-32-ubyte5-equiv-congruence-on-rs2

(defthm exec-op-32-ubyte5-equiv-congruence-on-rs2
  (implies (ubyte5-equiv rs2 rs2-equiv)
           (equal (exec-op-32 funct rd rs1 rs2 stat feat)
                  (exec-op-32 funct rd rs1 rs2-equiv stat feat)))
  :rule-classes :congruence)

Theorem: exec-op-32-of-stat-fix-stat

(defthm exec-op-32-of-stat-fix-stat
  (equal (exec-op-32 funct rd rs1 rs2 (stat-fix stat)
                     feat)
         (exec-op-32 funct rd rs1 rs2 stat feat)))

Theorem: exec-op-32-stat-equiv-congruence-on-stat

(defthm exec-op-32-stat-equiv-congruence-on-stat
  (implies (stat-equiv stat stat-equiv)
           (equal (exec-op-32 funct rd rs1 rs2 stat feat)
                  (exec-op-32 funct rd rs1 rs2 stat-equiv feat)))
  :rule-classes :congruence)

Theorem: exec-op-32-of-feat-fix-feat

(defthm exec-op-32-of-feat-fix-feat
  (equal (exec-op-32 funct rd rs1 rs2 stat (feat-fix feat))
         (exec-op-32 funct rd rs1 rs2 stat feat)))

Theorem: exec-op-32-feat-equiv-congruence-on-feat

(defthm exec-op-32-feat-equiv-congruence-on-feat
  (implies (feat-equiv feat feat-equiv)
           (equal (exec-op-32 funct rd rs1 rs2 stat feat)
                  (exec-op-32 funct rd rs1 rs2 stat feat-equiv)))
  :rule-classes :congruence)