• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
    • Apt
    • Zfc
    • Acre
    • Milawa
    • Smtlink
    • Abnf
    • Vwsim
    • Isar
    • Wp-gen
    • Dimacs-reader
    • Pfcs
    • Legacy-defrstobj
    • Proof-checker-array
    • Soft
    • C
    • Farray
    • Rp-rewriter
    • Instant-runoff-voting
    • Imp-language
    • Sidekick
    • Leftist-trees
    • 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
            • Primitive-widening-conversions
              • Short-to-long
              • Short-to-float
              • Short-to-double
              • Long-to-float
              • Long-to-double
              • Int-to-double
              • Float-to-double
              • Char-to-float
              • Char-to-double
              • Byte-to-float
              • Byte-to-double
              • Short-to-int
              • Int-to-long
              • Int-to-float
              • Char-to-long
              • Char-to-int
              • Byte-to-short
              • Byte-to-long
              • Byte-to-int
            • Primitive-widening-narrowing-conversions
          • Reference-values
    • Taspi
    • Riscv
    • Bitcoin
    • Des
    • Ethereum
    • X86isa
    • Sha-2
    • Yul
    • Zcash
    • Proof-checker-itp13
    • Regex
    • ACL2-programming-language
    • Json
    • Jfkr
    • Equational
    • Cryptography
    • Poseidon
    • Where-do-i-place-my-book
    • Axe
    • Aleo
    • Bigmems
    • Builtins
    • Execloader
    • Solidity
    • Paco
    • Concurrent-programs
    • Bls12-377-curves
  • Debugging
  • Std
  • Community
  • Proof-automation
  • ACL2
  • Macro-libraries
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
  • Math
  • Testing-utilities

• Primitive-widening-conversions

Char-to-float

Widening conversion from char to float [JLS14:5.1.2].

Signature

(char-to-float operand) → result

Arguments

operand — Guard (char-valuep operand).

Returns

result — Type (float-valuep result).

Definitions and Theorems

Function: char-to-float

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

Theorem: float-valuep-of-char-to-float

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

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

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

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

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