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• Floating-point-placeholders

Floating-point-conversion-placeholders

Abstract placeholders for the Java floating-point conversions [JLS14:5.1].

Definitions and Theorems

Theorem: byte-to-float-abs-type

(defthm byte-to-float-abs-type
  (float-value-abs-p (byte-to-float-abs x)))

Theorem: byte-to-double-abs-type

(defthm byte-to-double-abs-type
  (double-value-abs-p (byte-to-double-abs x)))

Theorem: short-to-float-abs-type

(defthm short-to-float-abs-type
  (float-value-abs-p (short-to-float-abs x)))

Theorem: short-to-double-abs-type

(defthm short-to-double-abs-type
  (double-value-abs-p (short-to-double-abs x)))

Theorem: char-to-float-abs-type

(defthm char-to-float-abs-type
  (float-value-abs-p (char-to-float-abs x)))

Theorem: char-to-double-abs-type

(defthm char-to-double-abs-type
  (double-value-abs-p (char-to-double-abs x)))

Theorem: int-to-float-abs-type

(defthm int-to-float-abs-type
  (float-value-abs-p (int-to-float-abs x)))

Theorem: int-to-double-abs-type

(defthm int-to-double-abs-type
  (double-value-abs-p (int-to-double-abs x)))

Theorem: long-to-float-abs-type

(defthm long-to-float-abs-type
  (float-value-abs-p (long-to-float-abs x)))

Theorem: long-to-double-abs-type

(defthm long-to-double-abs-type
  (double-value-abs-p (long-to-double-abs x)))

Theorem: float-to-double-abs-type

(defthm float-to-double-abs-type
  (double-value-abs-p (float-to-double-abs x)))

Theorem: float-to-byte-abs-type

(defthm float-to-byte-abs-type
  (sbyte8p (float-to-byte-abs x)))

Theorem: float-to-short-abs-type

(defthm float-to-short-abs-type
  (sbyte16p (float-to-short-abs x)))

Theorem: float-to-char-abs-type

(defthm float-to-char-abs-type
  (ubyte16p (float-to-char-abs x)))

Theorem: float-to-int-abs-type

(defthm float-to-int-abs-type
  (sbyte32p (float-to-int-abs x)))

Theorem: float-to-long-abs-type

(defthm float-to-long-abs-type
  (sbyte64p (float-to-long-abs x)))

Theorem: double-to-byte-abs-type

(defthm double-to-byte-abs-type
  (sbyte8p (double-to-byte-abs x)))

Theorem: double-to-short-abs-type

(defthm double-to-short-abs-type
  (sbyte16p (double-to-short-abs x)))

Theorem: double-to-char-abs-type

(defthm double-to-char-abs-type
  (ubyte16p (double-to-char-abs x)))

Theorem: double-to-int-abs-type

(defthm double-to-int-abs-type
  (sbyte32p (double-to-int-abs x)))

Theorem: double-to-long-abs-type

(defthm double-to-long-abs-type
  (sbyte64p (double-to-long-abs x)))

Theorem: double-to-float-abs-type

(defthm double-to-float-abs-type
  (float-value-abs-p (double-to-float-abs x)))