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Semantics32

Exec32-slli

Semantics of the SLLI instruction [ISA:2.4.1].

Signature
(exec32-slli rd rs1 imm stat) → new-stat
Arguments: rd — Guard (ubyte5p rd).; rs1 — Guard (ubyte5p rs1).; imm — Guard (ubyte5p imm).; stat — Guard (stat32ip stat).
Returns: new-stat — Type (stat32ip new-stat).

We read an unsigned 32-bit integer from rs1. The immediate is the shift amount, from 0 to 31. We shift the integer left by the shift amount. We write the result to rd. We increment the program counter.

Definitions and Theorems

Function: exec32-slli

(defun exec32-slli (rd rs1 imm stat)
  (declare (xargs :guard (and (ubyte5p rd)
                              (ubyte5p rs1)
                              (ubyte5p imm)
                              (stat32ip stat))))
  (let ((__function__ 'exec32-slli))
    (declare (ignorable __function__))
    (b* ((rs1-operand (read32-xreg-unsigned rs1 stat))
         (shift-amount (ubyte5-fix imm))
         (result (ash rs1-operand shift-amount))
         (stat (write32-xreg rd result stat))
         (stat (inc32-pc stat)))
      stat)))

Theorem: stat32ip-of-exec32-slli

(defthm stat32ip-of-exec32-slli
  (b* ((new-stat (exec32-slli rd rs1 imm stat)))
    (stat32ip new-stat))
  :rule-classes :rewrite)

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

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

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

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

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

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

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

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

Theorem: exec32-slli-of-ubyte5-fix-imm

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

Theorem: exec32-slli-ubyte5-equiv-congruence-on-imm

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

Theorem: exec32-slli-of-stat32i-fix-stat

(defthm exec32-slli-of-stat32i-fix-stat
  (equal (exec32-slli rd rs1 imm (stat32i-fix stat))
         (exec32-slli rd rs1 imm stat)))

Theorem: exec32-slli-stat32i-equiv-congruence-on-stat

(defthm exec32-slli-stat32i-equiv-congruence-on-stat
  (implies (stat32i-equiv stat stat-equiv)
           (equal (exec32-slli rd rs1 imm stat)
                  (exec32-slli rd rs1 imm stat-equiv)))
  :rule-classes :congruence)