• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
    • Kestrel-books
      • Crypto-hdwallet
      • Apt
      • Error-checking
      • Fty-extensions
      • Isar
      • Kestrel-utilities
      • Soft
      • Bv
      • Imp-language
      • C
      • Event-macros
      • Java
        • Atj
        • Aij
        • Language
          • Syntax
          • Semantics
            • Primitive-function-macros
            • Primitive-values
            • Floating-point-placeholders
            • Pointers
            • Floating-point-value-set-parameters
            • Values
            • Primitive-operations
            • Primitive-conversions
              • Primitive-narrowing-conversions
                • Short-to-char
                • Short-to-byte
                • Long-to-short
                • Float-to-short
                • Float-to-long
                • Float-to-char
                • Float-to-byte
                • Double-to-short
                • Double-to-long
                • Double-to-int
                • Double-to-float
                • Double-to-char
                • Double-to-byte
                • Char-to-short
                • Long-to-int
                • Long-to-char
                • Long-to-byte
                • Int-to-short
                • Int-to-char
                • Int-to-byte
                • Float-to-int
                • Char-to-byte
              • Primitive-widening-conversions
              • Primitive-widening-narrowing-conversions
            • Reference-values
      • Bitcoin
      • Ethereum
      • Yul
      • Zcash
      • ACL2-programming-language
      • Prime-fields
      • Json
      • Syntheto
      • File-io-light
      • Number-theory
      • Cryptography
      • Lists-light
      • Builtins
      • Axe
      • Solidity
      • Helpers
      • Htclient
      • Typed-lists-light
      • Arithmetic-light
    • X86isa
    • Axe
    • Execloader
  • Math
  • Testing-utilities

• Primitive-narrowing-conversions

Float-to-short

Narrowing conversion from float to short [JLS14:5.1.3].

Signature

(float-to-short operand) → result

Arguments

operand — Guard (float-valuep operand).

Returns

result — Type (short-valuep result).

Definitions and Theorems

Function: float-to-short

(defun float-to-short (operand)
  (declare (xargs :guard (float-valuep operand)))
  (b* ((x (float-value->float operand)))
    (short-value (float-to-short-abs x))))

Theorem: short-valuep-of-float-to-short

(defthm short-valuep-of-float-to-short
  (b* ((result (float-to-short operand)))
    (short-valuep result))
  :rule-classes :rewrite)

Theorem: float-to-short-of-float-value-fix-operand

(defthm float-to-short-of-float-value-fix-operand
  (equal (float-to-short (float-value-fix operand))
         (float-to-short operand)))

Theorem: float-to-short-float-value-equiv-congruence-on-operand

(defthm float-to-short-float-value-equiv-congruence-on-operand
  (implies (float-value-equiv operand operand-equiv)
           (equal (float-to-short operand)
                  (float-to-short operand-equiv)))
  :rule-classes :congruence)