org.monte.media.math

Class ExtendedReal

java.lang.Object

java.lang.Number

org.monte.media.math.ExtendedReal

All Implemented Interfaces:

Serializable

public class ExtendedReal
extends Number

Represents an extended-real number as specified by IEEE 754. An extended-real number uses 80 bits to represent a floating point number. It is able to represent numbers ranging from 3.37*10^-4932 up to 1.18*10^4932. Bit layout

 79    78-64            63       62-0
 Sign  Biased Exponent  Integer  Fraction
 

For the single-real and double-real formats, only the fraction part of the significand is encoded. The integer is assumed to be 1 for all numbers except 0 and denormalized finite numbers. For the extended-real format, the integer is contained in bit 64, and the most significant fraction bit is bit 62. Here, the integer is explicitly set to 1 for normalized numbers, infinites, and NaNs, and to 0 for zero and denormalized numbers. The exponent is encoded in biased format. The biasing constant is 16'383 for the extended-real format. NaN Encodings for ExtendedReal:

 Class                   Sign   Biased     Significand
                                Exponent   Integer  Fraction
 ------------------------------------------------------------
 Positive +Infinity       0    11..11       1       00..00
          +Normals        0    11..10       1       11..11
                          .        .        .           .
                          .        .        .           .
                          0    00..01       1       00..00
          +Denormals      0    00..00       0       11..11
                          .        .        .           .
                          .        .        .           .
                          0    00..00       0       00..01
          +Zero           0    00..00       0       00..00
 Negative -Zero           1    00..00       0       00..00
          -Denormals      1    00..00       0       00..01
                          .        .        .           .
                          .        .        .           .
                          1    00..00       0       11..11
          -Normals        1    00..01       1       00..01
                          .        .        .           .
                          .        .        .           .
                          1    11..10       1       11..11
          -Infinity       1    11..11       1       00..00
 NaNs     SNaN            X    11..11       1       0X..XX(2
          QNaN            X    11..11       1       1X..XX
          Real Indefinite 1    11..11       1       10..00

 

(2 The fraction for SNaN encodings must be non zero.

Version:

0.1 2000-10-06 Conversions from bit array, and to double only.

Author:

Werner Randelshofer, Hausmatt 10, CH-6405 Goldau, Switzerland.

See Also:

Serialized Form

Field Summary

Fields

Modifier and Type	Field and Description
static ExtendedReal	MAX_VALUE
static ExtendedReal	MIN_VALUE
static ExtendedReal	NaN
static ExtendedReal	NEGATIVE_INFINITY
static ExtendedReal	POSITIVE_INFINITY

Constructor Summary

Constructors

Constructor and Description
ExtendedReal(byte[] bits)
ExtendedReal(double d)

Method Summary

Methods

Modifier and Type	Method and Description
double	doubleValue()
boolean	equals(ExtendedReal obj)
boolean	equals(Object obj)
float	floatValue()
int	hashCode()
int	intValue()
boolean	isInfinite()
boolean	isNaN()
long	longValue()
String	toString() FIXME: Loss of precision, because we currently convert to double before we create the String.

Methods inherited from class java.lang.Number

byteValue, shortValue

Methods inherited from class java.lang.Object

clone, finalize, getClass, notify, notifyAll, wait, wait, wait

Field Detail

MAX_VALUE

public static final ExtendedReal MAX_VALUE

MIN_VALUE

public static final ExtendedReal MIN_VALUE

NaN

public static final ExtendedReal NaN

NEGATIVE_INFINITY

public static final ExtendedReal NEGATIVE_INFINITY

POSITIVE_INFINITY

public static final ExtendedReal POSITIVE_INFINITY

Constructor Detail

ExtendedReal

public ExtendedReal(byte[] bits)

ExtendedReal

public ExtendedReal(double d)

Method Detail

isNaN

public boolean isNaN()

isInfinite

public boolean isInfinite()

doubleValue

public double doubleValue()

Specified by:

doubleValue in class Number

floatValue

public float floatValue()

Specified by:

floatValue in class Number

intValue

public int intValue()

Specified by:

intValue in class Number

longValue

public long longValue()

Specified by:

longValue in class Number

hashCode

public int hashCode()

Overrides:

hashCode in class Object

equals

public boolean equals(Object obj)

Overrides:

equals in class Object

equals

public boolean equals(ExtendedReal obj)

toString

public String toString()

FIXME: Loss of precision, because we currently convert to double before we create the String.

Overrides:

toString in class Object