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• Printer

Print-bin-expo

Print a binary exponent.

Signature

(print-bin-expo expo pstate) → new-pstate

Arguments

expo — Guard (bin-expop expo).

pstate — Guard (pristatep pstate).

Returns

new-pstate — Type (pristatep new-pstate).

We ensure that there is at least one digit.

Definitions and Theorems

Function: print-bin-expo

(defun print-bin-expo (expo pstate)
 (declare (xargs :guard (and (bin-expop expo)
                             (pristatep pstate))))
 (let ((__function__ 'print-bin-expo))
  (declare (ignorable __function__))
  (b*
   (((bin-expo expo) expo)
    (pstate (print-bin-expo-prefix expo.prefix pstate))
    (pstate (print-sign-option expo.sign? pstate))
    ((unless expo.digits)
     (raise
      "Misusage error: ~
                the binary exponent has no digits.")
     pstate)
    (pstate (print-dec-digit-achars expo.digits pstate)))
   pstate)))

Theorem: pristatep-of-print-bin-expo

(defthm pristatep-of-print-bin-expo
  (b* ((new-pstate (print-bin-expo expo pstate)))
    (pristatep new-pstate))
  :rule-classes :rewrite)

Theorem: pristate->gcc-of-print-bin-expo

(defthm pristate->gcc-of-print-bin-expo
  (b* ((?new-pstate (print-bin-expo expo pstate)))
    (equal (pristate->gcc new-pstate)
           (pristate->gcc pstate))))

Theorem: print-bin-expo-of-bin-expo-fix-expo

(defthm print-bin-expo-of-bin-expo-fix-expo
  (equal (print-bin-expo (bin-expo-fix expo)
                         pstate)
         (print-bin-expo expo pstate)))

Theorem: print-bin-expo-bin-expo-equiv-congruence-on-expo

(defthm print-bin-expo-bin-expo-equiv-congruence-on-expo
  (implies (bin-expo-equiv expo expo-equiv)
           (equal (print-bin-expo expo pstate)
                  (print-bin-expo expo-equiv pstate)))
  :rule-classes :congruence)

Theorem: print-bin-expo-of-pristate-fix-pstate

(defthm print-bin-expo-of-pristate-fix-pstate
  (equal (print-bin-expo expo (pristate-fix pstate))
         (print-bin-expo expo pstate)))

Theorem: print-bin-expo-pristate-equiv-congruence-on-pstate

(defthm print-bin-expo-pristate-equiv-congruence-on-pstate
  (implies (pristate-equiv pstate pstate-equiv)
           (equal (print-bin-expo expo pstate)
                  (print-bin-expo expo pstate-equiv)))
  :rule-classes :congruence)