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• Semantics

Exec-op-imms32

Semantics of the shift instructions with the OP-IMM opcode [ISA:2.4.1] in 32-bit mode.

Signature

(exec-op-imms32 funct rd rs1 imm stat feat) → new-stat

Arguments

funct — Guard (op-imms-funct-p funct).

rd — Guard (ubyte5p rd).

rs1 — Guard (ubyte5p rs1).

imm — Guard (ubyte5p imm).

stat — Guard (statp stat).

feat — Guard (featp feat).

Returns

new-stat — Type (statp new-stat).

Definitions and Theorems

Function: exec-op-imms32

(defun exec-op-imms32 (funct rd rs1 imm stat feat)
  (declare (xargs :guard (and (op-imms-funct-p funct)
                              (ubyte5p rd)
                              (ubyte5p rs1)
                              (ubyte5p imm)
                              (statp stat)
                              (featp feat))))
  (declare (xargs :guard (and (feat-32p feat)
                              (stat-validp stat feat))))
  (let ((__function__ 'exec-op-imms32))
    (declare (ignorable __function__))
    (op-imms-funct-case funct
                        :slli (exec-slli32 rd rs1 imm stat feat)
                        :srli (exec-srli32 rd rs1 imm stat feat)
                        :srai (exec-srai32 rd rs1 imm stat feat))))

Theorem: statp-of-exec-op-imms32

(defthm statp-of-exec-op-imms32
  (b* ((new-stat (exec-op-imms32 funct rd rs1 imm stat feat)))
    (statp new-stat))
  :rule-classes :rewrite)

Theorem: stat-validp-of-exec-op-imms32

(defthm stat-validp-of-exec-op-imms32
  (implies
       (stat-validp stat feat)
       (b* ((?new-stat (exec-op-imms32 funct rd rs1 imm stat feat)))
         (stat-validp new-stat feat))))

Theorem: exec-op-imms32-of-op-imms-funct-fix-funct

(defthm exec-op-imms32-of-op-imms-funct-fix-funct
  (equal (exec-op-imms32 (op-imms-funct-fix funct)
                         rd rs1 imm stat feat)
         (exec-op-imms32 funct rd rs1 imm stat feat)))

Theorem: exec-op-imms32-op-imms-funct-equiv-congruence-on-funct

(defthm exec-op-imms32-op-imms-funct-equiv-congruence-on-funct
 (implies (op-imms-funct-equiv funct funct-equiv)
          (equal (exec-op-imms32 funct rd rs1 imm stat feat)
                 (exec-op-imms32 funct-equiv rd rs1 imm stat feat)))
 :rule-classes :congruence)

Theorem: exec-op-imms32-of-ubyte5-fix-rd

(defthm exec-op-imms32-of-ubyte5-fix-rd
  (equal (exec-op-imms32 funct (ubyte5-fix rd)
                         rs1 imm stat feat)
         (exec-op-imms32 funct rd rs1 imm stat feat)))

Theorem: exec-op-imms32-ubyte5-equiv-congruence-on-rd

(defthm exec-op-imms32-ubyte5-equiv-congruence-on-rd
 (implies (ubyte5-equiv rd rd-equiv)
          (equal (exec-op-imms32 funct rd rs1 imm stat feat)
                 (exec-op-imms32 funct rd-equiv rs1 imm stat feat)))
 :rule-classes :congruence)

Theorem: exec-op-imms32-of-ubyte5-fix-rs1

(defthm exec-op-imms32-of-ubyte5-fix-rs1
  (equal (exec-op-imms32 funct rd (ubyte5-fix rs1)
                         imm stat feat)
         (exec-op-imms32 funct rd rs1 imm stat feat)))

Theorem: exec-op-imms32-ubyte5-equiv-congruence-on-rs1

(defthm exec-op-imms32-ubyte5-equiv-congruence-on-rs1
 (implies (ubyte5-equiv rs1 rs1-equiv)
          (equal (exec-op-imms32 funct rd rs1 imm stat feat)
                 (exec-op-imms32 funct rd rs1-equiv imm stat feat)))
 :rule-classes :congruence)

Theorem: exec-op-imms32-of-ubyte5-fix-imm

(defthm exec-op-imms32-of-ubyte5-fix-imm
  (equal (exec-op-imms32 funct rd rs1 (ubyte5-fix imm)
                         stat feat)
         (exec-op-imms32 funct rd rs1 imm stat feat)))

Theorem: exec-op-imms32-ubyte5-equiv-congruence-on-imm

(defthm exec-op-imms32-ubyte5-equiv-congruence-on-imm
 (implies (ubyte5-equiv imm imm-equiv)
          (equal (exec-op-imms32 funct rd rs1 imm stat feat)
                 (exec-op-imms32 funct rd rs1 imm-equiv stat feat)))
 :rule-classes :congruence)

Theorem: exec-op-imms32-of-stat-fix-stat

(defthm exec-op-imms32-of-stat-fix-stat
  (equal (exec-op-imms32 funct rd rs1 imm (stat-fix stat)
                         feat)
         (exec-op-imms32 funct rd rs1 imm stat feat)))

Theorem: exec-op-imms32-stat-equiv-congruence-on-stat

(defthm exec-op-imms32-stat-equiv-congruence-on-stat
 (implies (stat-equiv stat stat-equiv)
          (equal (exec-op-imms32 funct rd rs1 imm stat feat)
                 (exec-op-imms32 funct rd rs1 imm stat-equiv feat)))
 :rule-classes :congruence)

Theorem: exec-op-imms32-of-feat-fix-feat

(defthm exec-op-imms32-of-feat-fix-feat
  (equal (exec-op-imms32 funct rd rs1 imm stat (feat-fix feat))
         (exec-op-imms32 funct rd rs1 imm stat feat)))

Theorem: exec-op-imms32-feat-equiv-congruence-on-feat

(defthm exec-op-imms32-feat-equiv-congruence-on-feat
 (implies (feat-equiv feat feat-equiv)
          (equal (exec-op-imms32 funct rd rs1 imm stat feat)
                 (exec-op-imms32 funct rd rs1 imm stat feat-equiv)))
 :rule-classes :congruence)