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Semantics

Exec-srliw

Semantics of the SRLIW instruction [ISA:4.2.1].

Signature
(exec-srliw rd rs1 imm stat feat) → new-stat
Arguments: 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).

This is only valid in 64-bit mode.

We read an unsigned 32-bit integer from rs1. The immediate is the shift amount, from 0 to 31. We shift the integer right by the shift amount; this is a logical shift, because the integer is unsigned. We write the result to rd, as a signed 32-bit integer. We increment the program counter.

Definitions and Theorems

Function: exec-srliw

(defun exec-srliw (rd rs1 imm stat feat)
  (declare (xargs :guard (and (ubyte5p rd)
                              (ubyte5p rs1)
                              (ubyte5p imm)
                              (statp stat)
                              (featp feat))))
  (declare (xargs :guard (and (feat-64p feat)
                              (stat-validp stat feat)
                              (< (lnfix rd) (feat->xnum feat))
                              (< (lnfix rs1) (feat->xnum feat)))))
  (let ((__function__ 'exec-srliw))
    (declare (ignorable __function__))
    (b* ((rs1-operand (read-xreg-unsigned32 (ubyte5-fix rs1)
                                            stat feat))
         (shift-amount (ubyte5-fix imm))
         (result (ash rs1-operand (- shift-amount)))
         (stat (write-xreg-32 (ubyte5-fix rd)
                              result stat feat))
         (stat (inc4-pc stat feat)))
      stat)))

Theorem: statp-of-exec-srliw

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

Theorem: stat-validp-of-exec-srliw

(defthm stat-validp-of-exec-srliw
  (implies (and (stat-validp stat feat)
                (< (lnfix rd) (feat->xnum feat)))
           (b* ((?new-stat (exec-srliw rd rs1 imm stat feat)))
             (stat-validp new-stat feat))))

Theorem: exec-srliw-of-ubyte5-fix-rd

(defthm exec-srliw-of-ubyte5-fix-rd
  (equal (exec-srliw (ubyte5-fix rd)
                     rs1 imm stat feat)
         (exec-srliw rd rs1 imm stat feat)))

Theorem: exec-srliw-ubyte5-equiv-congruence-on-rd

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

Theorem: exec-srliw-of-ubyte5-fix-rs1

(defthm exec-srliw-of-ubyte5-fix-rs1
  (equal (exec-srliw rd (ubyte5-fix rs1)
                     imm stat feat)
         (exec-srliw rd rs1 imm stat feat)))

Theorem: exec-srliw-ubyte5-equiv-congruence-on-rs1

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

Theorem: exec-srliw-of-ubyte5-fix-imm

(defthm exec-srliw-of-ubyte5-fix-imm
  (equal (exec-srliw rd rs1 (ubyte5-fix imm)
                     stat feat)
         (exec-srliw rd rs1 imm stat feat)))

Theorem: exec-srliw-ubyte5-equiv-congruence-on-imm

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

Theorem: exec-srliw-of-stat-fix-stat

(defthm exec-srliw-of-stat-fix-stat
  (equal (exec-srliw rd rs1 imm (stat-fix stat)
                     feat)
         (exec-srliw rd rs1 imm stat feat)))

Theorem: exec-srliw-stat-equiv-congruence-on-stat

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

Theorem: exec-srliw-of-feat-fix-feat

(defthm exec-srliw-of-feat-fix-feat
  (equal (exec-srliw rd rs1 imm stat (feat-fix feat))
         (exec-srliw rd rs1 imm stat feat)))

Theorem: exec-srliw-feat-equiv-congruence-on-feat

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