• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
    • Gl
    • Esim
    • Vl2014
      • Warnings
      • Primitives
      • Use-set
      • Syntax
      • Getting-started
      • Utilities
      • Loader
        • Preprocessor
        • Vl-loadconfig
        • Lexer
          • Lex-strings
          • Lex-identifiers
          • Vl-typo-uppercase-p
          • Vl-typo-number-p
          • Vl-typo-lowercase-p
          • Lex-numbers
            • Vl-z-digit-p
            • Vl-x-digit-p
            • Vl-underscore-or-octal-digit-p
            • Vl-underscore-or-hex-digit-p
            • Vl-underscore-or-decimal-digit-p
            • Vl-underscore-or-binary-digit-p
            • Vl-octal-digit-p
            • Vl-non-zero-decimal-digit-p
            • Vl-hex-digit-p
            • Vl-decimal-digit-p
            • Vl-binary-digit-p
            • Vl-lex-integer
            • Vl-correct-bitlist
            • Vl-lex-time-or-real-number
            • Vl-read-decimal-value
            • Vl-lex-unbased-unsized-literal
            • Vl-lex-number
              • Vl-lex-number-token/remainder-thms
            • Vl-read-non-zero-unsigned-number
            • Vl-read-any-base
            • Vl-read-unsigned-number
            • Vl-read-time-unit
            • Vl-read-binary-value
            • Vl-read-real-tail
            • Vl-read-octal-value
            • Vl-read-hex-value
            • Vl-read-decimal-base
            • Vl-read-octal-base
            • Vl-read-hex-base
            • Vl-read-binary-base
            • Vl-hex-digits-to-bitlist
            • Vl-octal-digits-to-bitlist
            • Vl-decimal-digits-to-bitlist
            • Vl-binary-digits-to-bitlist
            • Vl-underscore-or-octal-digit-list-p
            • Vl-underscore-or-hex-digit-list-p
            • Vl-underscore-or-decimal-digit-list-p
            • Vl-underscore-or-binary-digit-list-p
            • Vl-non-zero-decimal-digit-list-p
            • Vl-decimal-digit-list-p
            • Vl-binary-digit-list-p
            • Vl-z-digit-list-p
            • Vl-x-digit-list-p
            • Vl-octal-digit-list-p
            • Vl-hex-digit-list-p
            • Vl-timeunit-lookup
          • Chartypes
          • Vl-lex
          • Defchar
          • Tokens
          • Lex-keywords
          • Lexstate
          • Make-test-tokens
          • Lexer-utils
          • Lex-comments
          • Vl-typo-uppercase-list-p
          • Vl-typo-lowercase-list-p
          • Vl-typo-number-list-p
        • Vl-loadstate
        • Parser
        • Vl-load-merge-descriptions
        • Scope-of-defines
        • Vl-load-file
        • Vl-flush-out-descriptions
        • Vl-description
        • Vl-loadresult
        • Vl-read-file
        • Vl-find-basename/extension
        • Vl-find-file
        • Vl-read-files
        • Extended-characters
        • Vl-load
        • Vl-load-main
        • Vl-load-description
        • Vl-descriptions-left-to-load
        • Inject-warnings
        • Vl-load-descriptions
        • Vl-load-files
        • Vl-load-summary
        • Vl-collect-modules-from-descriptions
        • Vl-descriptionlist
      • Transforms
      • Lint
      • Mlib
      • Server
      • Kit
      • Printer
      • Esim-vl
      • Well-formedness
    • Sv
    • Fgl
    • Vwsim
    • Vl
    • X86isa
    • Svl
    • Rtl
  • Software-verification
  • Math
  • Testing-utilities

• Lex-numbers

Vl-lex-number

Match number, time_literal, and unbased_unsized_literal.

Signature

(vl-lex-number echars st warnings) 
  → 
(mv token? remainder warnings)

Arguments

echars — Guard (vl-echarlist-p echars).

st — Guard (vl-lexstate-p st).

warnings — Guard (vl-warninglist-p warnings).

Returns

warnings — Type (vl-warninglist-p warnings).

Definitions and Theorems

Function: vl-lex-number$inline

(defun vl-lex-number$inline (echars st warnings)
  (declare (xargs :guard (and (vl-echarlist-p echars)
                              (vl-lexstate-p st)
                              (vl-warninglist-p warnings))))
  (let ((__function__ 'vl-lex-number))
    (declare (ignorable __function__))
    (b* ((warnings (vl-warninglist-fix warnings))
         ((mv token remainder)
          (vl-lex-time-or-real-number echars st))
         ((when token)
          (mv token remainder warnings))
         ((mv token remainder warnings)
          (vl-lex-integer echars warnings))
         ((when token)
          (mv token remainder warnings))
         ((unless (vl-lexstate->extintsp st))
          (mv nil echars warnings))
         ((mv token remainder)
          (vl-lex-unbased-unsized-literal echars)))
      (mv token remainder warnings))))

Theorem: vl-warninglist-p-of-vl-lex-number.warnings

(defthm vl-warninglist-p-of-vl-lex-number.warnings
  (b* (((mv ?token? ?remainder ?warnings)
        (vl-lex-number$inline echars st warnings)))
    (vl-warninglist-p warnings))
  :rule-classes :rewrite)

Theorem: vl-token-p-of-vl-lex-number

(defthm vl-token-p-of-vl-lex-number
 (implies
   (and (force (vl-echarlist-p echars)) t)
   (equal (vl-token-p (mv-nth 0 (vl-lex-number echars st warnings)))
          (if (mv-nth 0 (vl-lex-number echars st warnings))
              t
            nil))))

Theorem: true-listp-of-vl-lex-number

(defthm true-listp-of-vl-lex-number
 (equal (true-listp (mv-nth 1 (vl-lex-number echars st warnings)))
        (true-listp echars))
 :rule-classes
 ((:rewrite)
  (:type-prescription
   :corollary
   (implies
        (true-listp echars)
        (true-listp (mv-nth 1
                            (vl-lex-number echars st warnings)))))))

Theorem: vl-echarlist-p-of-vl-lex-number

(defthm vl-echarlist-p-of-vl-lex-number
 (implies
  (force (vl-echarlist-p echars))
  (equal
      (vl-echarlist-p (mv-nth 1 (vl-lex-number echars st warnings)))
      t)))

Theorem: append-of-vl-lex-number

(defthm append-of-vl-lex-number
 (implies
  (and (mv-nth 0 (vl-lex-number echars st warnings))
       (force (vl-echarlist-p echars))
       t)
  (equal
   (append
     (vl-token->etext (mv-nth 0 (vl-lex-number echars st warnings)))
     (mv-nth 1 (vl-lex-number echars st warnings)))
   echars)))

Theorem: no-change-loser-of-vl-lex-number

(defthm no-change-loser-of-vl-lex-number
  (implies (not (mv-nth 0 (vl-lex-number echars st warnings)))
           (equal (mv-nth 1 (vl-lex-number echars st warnings))
                  echars)))

Theorem: acl2-count-of-vl-lex-number-weak

(defthm acl2-count-of-vl-lex-number-weak
  (<= (acl2-count (mv-nth 1 (vl-lex-number echars st warnings)))
      (acl2-count echars))
  :rule-classes ((:rewrite) (:linear)))

Theorem: acl2-count-of-vl-lex-number-strong

(defthm acl2-count-of-vl-lex-number-strong
  (implies
       (and (mv-nth 0 (vl-lex-number echars st warnings))
            t)
       (< (acl2-count (mv-nth 1 (vl-lex-number echars st warnings)))
          (acl2-count echars)))
  :rule-classes ((:rewrite) (:linear)))

Subtopics

Vl-lex-number-token/remainder-thms

Token and remainder theorems for vl-lex-number, automatically generated by def-token/remainder-thms.