• Top
    • Documentation
    • Books
    • Boolean-reasoning
    • Projects
    • Debugging
    • Community
    • Std
    • Proof-automation
    • Macro-libraries
    • ACL2
    • Interfacing-tools
    • Hardware-verification
    • Software-verification
      • Kestrel-books
        • Crypto-hdwallet
        • Apt
        • Error-checking
        • Fty-extensions
        • Isar
        • Kestrel-utilities
        • Set
        • C
        • Soft
        • Bv
        • Imp-language
        • Ethereum
        • Event-macros
        • Java
          • Atj
          • Aij
          • Language
            • Syntax
            • Semantics
              • Primitive-function-macros
              • Primitive-values
              • Floating-point-placeholders
                • Floating-point-value-placeholders
                • Floating-point-operation-placeholders
                • Floating-point-conversion-placeholders
                • Floating-point-macro-placeholders
                  • Def-primitive-unary/binary-abs-predicate
                  • Def-primitive-unary/binary-abs-term
                  • Def-primitive-unary-abs
                  • Def-primitive-binary-abs
                • Pointers
                • Floating-point-value-set-parameters
                • Values
                • Primitive-operations
                • Primitive-conversions
                • Reference-values
          • Riscv
          • Bitcoin
          • Zcash
          • Yul
          • ACL2-programming-language
          • Prime-fields
          • Json
          • Syntheto
          • File-io-light
          • Cryptography
          • Number-theory
          • Axe
          • Lists-light
          • Builtins
          • Solidity
          • Helpers
          • Htclient
          • Typed-lists-light
          • Arithmetic-light
        • X86isa
        • Axe
        • Execloader
      • Math
      • Testing-utilities
    • Floating-point-macro-placeholders

    Def-primitive-binary-abs

    Macro to introduce an abstract placeholder for a binary operation or a conversion involving floating-point values.

    Macro: def-primitive-binary-abs

    (defmacro def-primitive-binary-abs (name type)
      (cons 'make-event
            (cons (cons 'def-primitive-binary-abs-fn
                        (cons (cons 'quote (cons name 'nil))
                              (cons type 'nil)))
                  'nil)))

    Definitions and Theorems

    Function: def-primitive-binary-abs-fn

    (defun def-primitive-binary-abs-fn (name type)
     (declare (xargs :guard (and (symbolp name)
                                 (primitive-typep type))))
     (let ((__function__ 'def-primitive-binary-abs-fn))
      (declare (ignorable __function__))
      (b* ((result (def-primitive-unary/binary-abs-term type))
           (predicate (def-primitive-unary/binary-abs-predicate type))
           (thm-name (add-suffix name "-TYPE")))
       (cons
        'encapsulate
        (cons
         (cons (cons (cons name '(* *)) '(=> *))
               'nil)
         (cons
           (cons 'local
                 (cons (cons 'defun
                             (cons name
                                   (cons '(x y)
                                         (cons '(declare (ignore x y))
                                               (cons result 'nil)))))
                       'nil))
           (cons (cons 'defthm
                       (cons thm-name
                             (cons (cons predicate
                                         (cons (cons name '(x y)) 'nil))
                                   'nil)))
                 'nil)))))))