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Float.javaAPI DocJava SE 6 API34946Tue Jun 10 00:25:36 BST 2008java.lang

Float.java

/*
 * @(#)Float.java	1.101 06/04/07
 *
 * Copyright 2006 Sun Microsystems, Inc. All rights reserved.
 * SUN PROPRIETARY/CONFIDENTIAL. Use is subject to license terms.
 */

package java.lang;

import sun.misc.FloatingDecimal;
import sun.misc.FpUtils;
import sun.misc.FloatConsts;
import sun.misc.DoubleConsts;

/**
 * The <code>Float</code> class wraps a value of primitive type
 * <code>float</code> in an object. An object of type
 * <code>Float</code> contains a single field whose type is
 * <code>float</code>.
 * <p>
 * In addition, this class provides several methods for converting a
 * <code>float</code> to a <code>String</code> and a
 * <code>String</code> to a <code>float</code>, as well as other
 * constants and methods useful when dealing with a
 * <code>float</code>.
 *
 * @author  Lee Boynton
 * @author  Arthur van Hoff
 * @author  Joseph D. Darcy
 * @version 1.101, 04/07/06
 * @since JDK1.0 
 */
public final class Float extends Number implements Comparable<Float> {
    /**
     * A constant holding the positive infinity of type
     * <code>float</code>. It is equal to the value returned by
     * <code>Float.intBitsToFloat(0x7f800000)</code>.
     */
    public static final float POSITIVE_INFINITY = 1.0f / 0.0f;

    /**
     * A constant holding the negative infinity of type
     * <code>float</code>. It is equal to the value returned by
     * <code>Float.intBitsToFloat(0xff800000)</code>.
     */
    public static final float NEGATIVE_INFINITY = -1.0f / 0.0f;

    /** 
     * A constant holding a Not-a-Number (NaN) value of type
     * <code>float</code>.  It is equivalent to the value returned by
     * <code>Float.intBitsToFloat(0x7fc00000)</code>.
     */
    public static final float NaN = 0.0f / 0.0f;

    /**
     * A constant holding the largest positive finite value of type
     * <code>float</code>, (2-2<sup>-23</sup>)·2<sup>127</sup>.
     * It is equal to the hexadecimal floating-point literal
     * <code>0x1.fffffeP+127f</code> and also equal to
     * <code>Float.intBitsToFloat(0x7f7fffff)</code>.
     */
    public static final float MAX_VALUE = 0x1.fffffeP+127f; // 3.4028235e+38f

    /**
     * A constant holding the smallest positive normal value of type
     * {@code float}, 2<sup>-126</sup>.  It is equal to the
     * hexadecimal floating-point literal {@code 0x1.0p-126f} and also
     * equal to {@code Float.intBitsToFloat(0x00800000)}.
     *
     * @since 1.6
     */
    public static final float MIN_NORMAL = 0x1.0p-126f; // 1.17549435E-38f
 
    /**
     * A constant holding the smallest positive nonzero value of type
     * <code>float</code>, 2<sup>-149</sup>. It is equal to the
     * hexadecimal floating-point literal <code>0x0.000002P-126f</code>
     * and also equal to <code>Float.intBitsToFloat(0x1)</code>.
     */
    public static final float MIN_VALUE = 0x0.000002P-126f; // 1.4e-45f

    /**
     * Maximum exponent a finite {@code float} variable may have.  It
     * is equal to the value returned by {@code
     * Math.getExponent(Float.MAX_VALUE)}.
     *
     * @since 1.6
     */
    public static final int MAX_EXPONENT = 127;
 
    /**
     * Minimum exponent a normalized {@code float} variable may have.
     * It is equal to the value returned by {@code
     * Math.getExponent(Float.MIN_NORMAL)}.
     *
     * @since 1.6
     */
    public static final int MIN_EXPONENT = -126;

    /**
     * The number of bits used to represent a <tt>float</tt> value.
     *
     * @since 1.5
     */
    public static final int SIZE = 32;

    /**
     * The <code>Class</code> instance representing the primitive type
     * <code>float</code>.
     *
     * @since JDK1.1 
     */
    public static final Class<Float> TYPE = Class.getPrimitiveClass("float");

    /**
     * Returns a string representation of the <code>float</code>
     * argument. All characters mentioned below are ASCII characters.
     * <ul>
     * <li>If the argument is NaN, the result is the string
     * "<code>NaN</code>".
     * <li>Otherwise, the result is a string that represents the sign and 
     *     magnitude (absolute value) of the argument. If the sign is
     *     negative, the first character of the result is
     *     '<code>-</code>' (<code>'\u002D'</code>); if the sign is
     *     positive, no sign character appears in the result. As for
     *     the magnitude <i>m</i>:
     * <ul>
     * <li>If <i>m</i> is infinity, it is represented by the characters 
     *     <code>"Infinity"</code>; thus, positive infinity produces
     *     the result <code>"Infinity"</code> and negative infinity
     *     produces the result <code>"-Infinity"</code>.
     * <li>If <i>m</i> is zero, it is represented by the characters 
     *     <code>"0.0"</code>; thus, negative zero produces the result
     *     <code>"-0.0"</code> and positive zero produces the result
     *     <code>"0.0"</code>.
     * <li> If <i>m</i> is greater than or equal to 10<sup>-3</sup> but 
     *      less than 10<sup>7</sup>, then it is represented as the
     *      integer part of <i>m</i>, in decimal form with no leading
     *      zeroes, followed by '<code>.</code>'
     *      (<code>'\u002E'</code>), followed by one or more
     *      decimal digits representing the fractional part of
     *      <i>m</i>.
     * <li> If <i>m</i> is less than 10<sup>-3</sup> or greater than or
     *      equal to 10<sup>7</sup>, then it is represented in
     *      so-called "computerized scientific notation." Let <i>n</i>
     *      be the unique integer such that 10<sup><i>n</i> </sup><= 
     *      <i>m</i> < 10<sup><i>n</i>+1</sup>; then let <i>a</i> 
     *      be the mathematically exact quotient of <i>m</i> and 
     *      10<sup><i>n</i></sup> so that 1 <= <i>a</i> < 10.
     *      The magnitude is then represented as the integer part of
     *      <i>a</i>, as a single decimal digit, followed by
     *      '<code>.</code>' (<code>'\u002E'</code>), followed by
     *      decimal digits representing the fractional part of
     *      <i>a</i>, followed by the letter '<code>E</code>'
     *      (<code>'\u0045'</code>), followed by a representation
     *      of <i>n</i> as a decimal integer, as produced by the
     *      method <code>{@link
     *      java.lang.Integer#toString(int)}</code>.
     * </ul>
     * </ul>
     * How many digits must be printed for the fractional part of
     * <i>m</i> or <i>a</i>? There must be at least one digit
     * to represent the fractional part, and beyond that as many, but
     * only as many, more digits as are needed to uniquely distinguish
     * the argument value from adjacent values of type
     * <code>float</code>. That is, suppose that <i>x</i> is the
     * exact mathematical value represented by the decimal
     * representation produced by this method for a finite nonzero
     * argument <i>f</i>. Then <i>f</i> must be the <code>float</code>
     * value nearest to <i>x</i>; or, if two <code>float</code> values are
     * equally close to <i>x</i>, then <i>f</i> must be one of
     * them and the least significant bit of the significand of
     * <i>f</i> must be <code>0</code>.
     * <p>
     * To create localized string representations of a floating-point
     * value, use subclasses of {@link java.text.NumberFormat}.
     *
     * @param   f   the float to be converted.
     * @return a string representation of the argument.
     */
    public static String toString(float f) {
	return new FloatingDecimal(f).toJavaFormatString();
    }

    /**
     * Returns a hexadecimal string representation of the
     * <code>float</code> argument. All characters mentioned below are
     * ASCII characters.
     *
     * <ul>
     * <li>If the argument is NaN, the result is the string
     *     "<code>NaN</code>".
     * <li>Otherwise, the result is a string that represents the sign and 
     * magnitude (absolute value) of the argument. If the sign is negative, 
     * the first character of the result is '<code>-</code>' 
     * (<code>'\u002D'</code>); if the sign is positive, no sign character 
     * appears in the result. As for the magnitude <i>m</i>:
     *
     * <ul> 
     * <li>If <i>m</i> is infinity, it is represented by the string
     * <code>"Infinity"</code>; thus, positive infinity produces the
     * result <code>"Infinity"</code> and negative infinity produces
     * the result <code>"-Infinity"</code>.
     *
     * <li>If <i>m</i> is zero, it is represented by the string
     * <code>"0x0.0p0"</code>; thus, negative zero produces the result
     * <code>"-0x0.0p0"</code> and positive zero produces the result
     * <code>"0x0.0p0"</code>.
     *
     * <li>If <i>m</i> is a <code>float</code> value with a
     * normalized representation, substrings are used to represent the
     * significand and exponent fields.  The significand is
     * represented by the characters <code>"0x1."</code>
     * followed by a lowercase hexadecimal representation of the rest
     * of the significand as a fraction.  Trailing zeros in the
     * hexadecimal representation are removed unless all the digits
     * are zero, in which case a single zero is used. Next, the
     * exponent is represented by <code>"p"</code> followed
     * by a decimal string of the unbiased exponent as if produced by
     * a call to {@link Integer#toString(int) Integer.toString} on the
     * exponent value.
     *
     * <li>If <i>m</i> is a <code>float</code> value with a subnormal
     * representation, the significand is represented by the
     * characters <code>"0x0."</code> followed by a
     * hexadecimal representation of the rest of the significand as a
     * fraction.  Trailing zeros in the hexadecimal representation are
     * removed. Next, the exponent is represented by
     * <code>"p-126"</code>.  Note that there must be at
     * least one nonzero digit in a subnormal significand.
     *
     * </ul>
     * 
     * </ul>
     *
     * <table border>
     * <caption><h3>Examples</h3></caption>
     * <tr><th>Floating-point Value</th><th>Hexadecimal String</th>
     * <tr><td><code>1.0</code></td>	<td><code>0x1.0p0</code></td>
     * <tr><td><code>-1.0</code></td>	<td><code>-0x1.0p0</code></td>
     * <tr><td><code>2.0</code></td>	<td><code>0x1.0p1</code></td>
     * <tr><td><code>3.0</code></td>	<td><code>0x1.8p1</code></td>
     * <tr><td><code>0.5</code></td>	<td><code>0x1.0p-1</code></td>
     * <tr><td><code>0.25</code></td>	<td><code>0x1.0p-2</code></td>
     * <tr><td><code>Float.MAX_VALUE</code></td>
     *     <td><code>0x1.fffffep127</code></td>
     * <tr><td><code>Minimum Normal Value</code></td>
     *     <td><code>0x1.0p-126</code></td>
     * <tr><td><code>Maximum Subnormal Value</code></td>
     *     <td><code>0x0.fffffep-126</code></td>
     * <tr><td><code>Float.MIN_VALUE</code></td>
     *     <td><code>0x0.000002p-126</code></td>
     * </table>
     * @param   f   the <code>float</code> to be converted.
     * @return a hex string representation of the argument.
     * @since 1.5
     * @author Joseph D. Darcy
     */
    public static String toHexString(float f) {
	if (Math.abs(f) < FloatConsts.MIN_NORMAL
	    &&  f != 0.0f ) {// float subnormal
	    // Adjust exponent to create subnormal double, then
	    // replace subnormal double exponent with subnormal float
	    // exponent
	    String s = Double.toHexString(FpUtils.scalb((double)f,
							/* -1022+126 */
							DoubleConsts.MIN_EXPONENT- 
							FloatConsts.MIN_EXPONENT));
	    return s.replaceFirst("p-1022$", "p-126");
	}
	else // double string will be the same as float string
	    return Double.toHexString(f);
    }

    /**
     * Returns a <code>Float</code> object holding the
     * <code>float</code> value represented by the argument string
     * <code>s</code>.
     * 
     * <p>If <code>s</code> is <code>null</code>, then a
     * <code>NullPointerException</code> is thrown.
     * 
     * <p>Leading and trailing whitespace characters in <code>s</code>
     * are ignored.  Whitespace is removed as if by the {@link
     * String#trim} method; that is, both ASCII space and control
     * characters are removed. The rest of <code>s</code> should
     * constitute a <i>FloatValue</i> as described by the lexical
     * syntax rules:
     *
     * <blockquote>
     * <dl>
     * <dt><i>FloatValue:</i>
     * <dd><i>Sign<sub>opt</sub></i> <code>NaN</code>
     * <dd><i>Sign<sub>opt</sub></i> <code>Infinity</code>
     * <dd><i>Sign<sub>opt</sub> FloatingPointLiteral</i>
     * <dd><i>Sign<sub>opt</sub> HexFloatingPointLiteral</i>
     * <dd><i>SignedInteger</i>
     * </dl>
     *
     * <p>
     *
     * <dl>
     * <dt><i>HexFloatingPointLiteral</i>:
     * <dd> <i>HexSignificand BinaryExponent FloatTypeSuffix<sub>opt</sub></i>
     * </dl>
     *
     * <p>
     *
     * <dl>
     * <dt><i>HexSignificand:</i>
     * <dd><i>HexNumeral</i>
     * <dd><i>HexNumeral</i> <code>.</code>
     * <dd><code>0x</code> <i>HexDigits<sub>opt</sub> 
     *     </i><code>.</code><i> HexDigits</i>
     * <dd><code>0X</code><i> HexDigits<sub>opt</sub> 
     *     </i><code>.</code> <i>HexDigits</i>
     * </dl>
     *
     * <p>
     *
     * <dl>
     * <dt><i>BinaryExponent:</i>
     * <dd><i>BinaryExponentIndicator SignedInteger</i>
     * </dl>
     *
     * <p>
     *
     * <dl>
     * <dt><i>BinaryExponentIndicator:</i>
     * <dd><code>p</code>
     * <dd><code>P</code>
     * </dl>
     *
     * </blockquote>
     *
     * where <i>Sign</i>, <i>FloatingPointLiteral</i>,
     * <i>HexNumeral</i>, <i>HexDigits</i>, <i>SignedInteger</i> and
     * <i>FloatTypeSuffix</i> are as defined in the lexical structure
     * sections of the of the <a
     * href="http://java.sun.com/docs/books/jls/html/">Java Language
     * Specification</a>. If <code>s</code> does not have the form of
     * a <i>FloatValue</i>, then a <code>NumberFormatException</code>
     * is thrown. Otherwise, <code>s</code> is regarded as
     * representing an exact decimal value in the usual
     * "computerized scientific notation" or as an exact
     * hexadecimal value; this exact numerical value is then
     * conceptually converted to an "infinitely precise"
     * binary value that is then rounded to type <code>float</code>
     * by the usual round-to-nearest rule of IEEE 754 floating-point
     * arithmetic, which includes preserving the sign of a zero
     * value. Finally, a <code>Float</code> object representing this
     * <code>float</code> value is returned.
     * 
     * <p>To interpret localized string representations of a
     * floating-point value, use subclasses of {@link
     * java.text.NumberFormat}.
     *
     * <p>Note that trailing format specifiers, specifiers that
     * determine the type of a floating-point literal
     * (<code>1.0f</code> is a <code>float</code> value;
     * <code>1.0d</code> is a <code>double</code> value), do
     * <em>not</em> influence the results of this method.  In other
     * words, the numerical value of the input string is converted
     * directly to the target floating-point type.  In general, the
     * two-step sequence of conversions, string to <code>double</code>
     * followed by <code>double</code> to <code>float</code>, is
     * <em>not</em> equivalent to converting a string directly to
     * <code>float</code>.  For example, if first converted to an
     * intermediate <code>double</code> and then to
     * <code>float</code>, the string<br>
     * <code>"1.00000017881393421514957253748434595763683319091796875001d"</code><br>
     * results in the <code>float</code> value
     * <code>1.0000002f</code>; if the string is converted directly to
     * <code>float</code>, <code>1.000000<b>1</b>f</code> results.
     *
     * <p>To avoid calling this method on an invalid string and having
     * a <code>NumberFormatException</code> be thrown, the documentation
     * for {@link Double#valueOf Double.valueOf} lists a regular
     * expression which can be used to screen the input.
     *
     * @param      s   the string to be parsed.
     * @return     a <code>Float</code> object holding the value
     *             represented by the <code>String</code> argument.
     * @exception  NumberFormatException  if the string does not contain a
     *               parsable number.  
     */
    public static Float valueOf(String s) throws NumberFormatException {
	return new Float(FloatingDecimal.readJavaFormatString(s).floatValue());
    }

    /**
     * Returns a <tt>Float</tt> instance representing the specified
     * <tt>float</tt> value.
     * If a new <tt>Float</tt> instance is not required, this method
     * should generally be used in preference to the constructor
     * {@link #Float(float)}, as this method is likely to yield
     * significantly better space and time performance by caching
     * frequently requested values.
     *
     * @param  f a float value.
     * @return a <tt>Float</tt> instance representing <tt>f</tt>.
     * @since  1.5
     */
    public static Float valueOf(float f) {
        return new Float(f);
    }

    /**
     * Returns a new <code>float</code> initialized to the value
     * represented by the specified <code>String</code>, as performed
     * by the <code>valueOf</code> method of class <code>Float</code>.
     *
     * @param      s   the string to be parsed.
     * @return the <code>float</code> value represented by the string
     *         argument.
     * @exception  NumberFormatException  if the string does not contain a
     *               parsable <code>float</code>.
     * @see        java.lang.Float#valueOf(String)
     * @since 1.2
     */
    public static float parseFloat(String s) throws NumberFormatException {
	return FloatingDecimal.readJavaFormatString(s).floatValue();
    }

    /**
     * Returns <code>true</code> if the specified number is a
     * Not-a-Number (NaN) value, <code>false</code> otherwise.
     *
     * @param   v   the value to be tested.
     * @return  <code>true</code> if the argument is NaN;
     *          <code>false</code> otherwise.
     */
    static public boolean isNaN(float v) {
	return (v != v);
    }

    /**
     * Returns <code>true</code> if the specified number is infinitely
     * large in magnitude, <code>false</code> otherwise.
     *
     * @param   v   the value to be tested.
     * @return  <code>true</code> if the argument is positive infinity or
     *          negative infinity; <code>false</code> otherwise.
     */
    static public boolean isInfinite(float v) {
	return (v == POSITIVE_INFINITY) || (v == NEGATIVE_INFINITY);
    }

    /**
     * The value of the Float.
     *
     * @serial
     */
    private final float value;

    /**
     * Constructs a newly allocated <code>Float</code> object that
     * represents the primitive <code>float</code> argument.
     *
     * @param   value   the value to be represented by the <code>Float</code>.
     */
    public Float(float value) {
	this.value = value;
    }

    /**
     * Constructs a newly allocated <code>Float</code> object that
     * represents the argument converted to type <code>float</code>.
     *
     * @param   value   the value to be represented by the <code>Float</code>.
     */
    public Float(double value) {
	this.value = (float)value;
    }

    /**
     * Constructs a newly allocated <code>Float</code> object that 
     * represents the floating-point value of type <code>float</code> 
     * represented by the string. The string is converted to a 
     * <code>float</code> value as if by the <code>valueOf</code> method. 
     *
     * @param      s   a string to be converted to a <code>Float</code>.
     * @exception  NumberFormatException  if the string does not contain a
     *               parsable number.
     * @see        java.lang.Float#valueOf(java.lang.String)
     */
    public Float(String s) throws NumberFormatException {
	// REMIND: this is inefficient
	this(valueOf(s).floatValue());
    }

    /**
     * Returns <code>true</code> if this <code>Float</code> value is a
     * Not-a-Number (NaN), <code>false</code> otherwise.
     *
     * @return  <code>true</code> if the value represented by this object is
     *          NaN; <code>false</code> otherwise.
     */
    public boolean isNaN() {
	return isNaN(value);
    }

    /**
     * Returns <code>true</code> if this <code>Float</code> value is
     * infinitely large in magnitude, <code>false</code> otherwise.
     *
     * @return  <code>true</code> if the value represented by this object is
     *          positive infinity or negative infinity;
     *          <code>false</code> otherwise.
     */
    public boolean isInfinite() {
	return isInfinite(value);
    }

    /**
     * Returns a string representation of this <code>Float</code> object.
     * The primitive <code>float</code> value represented by this object
     * is converted to a <code>String</code> exactly as if by the method
     * <code>toString</code> of one argument.
     *
     * @return  a <code>String</code> representation of this object.
     * @see java.lang.Float#toString(float)
     */
    public String toString() {
	return String.valueOf(value);
    }

    /**
     * Returns the value of this <code>Float</code> as a
     * <code>byte</code> (by casting to a <code>byte</code>).
     *
     * @return  the <code>float</code> value represented by this object
     *          converted to type <code>byte</code>
     */
    public byte byteValue() {
	return (byte)value;
    }

    /**
     * Returns the value of this <code>Float</code> as a
     * <code>short</code> (by casting to a <code>short</code>).
     *
     * @return  the <code>float</code> value represented by this object
     *          converted to type <code>short</code>
     * @since JDK1.1
     */
    public short shortValue() {
	return (short)value;
    }

    /**
     * Returns the value of this <code>Float</code> as an
     * <code>int</code> (by casting to type <code>int</code>).
     *
     * @return  the <code>float</code> value represented by this object
     *          converted to type <code>int</code>
     */
    public int intValue() {
	return (int)value;
    }

    /**
     * Returns value of this <code>Float</code> as a <code>long</code>
     * (by casting to type <code>long</code>).
     *
     * @return  the <code>float</code> value represented by this object
     *          converted to type <code>long</code>
     */
    public long longValue() {
	return (long)value;
    }

    /**
     * Returns the <code>float</code> value of this <code>Float</code>
     * object.
     *
     * @return the <code>float</code> value represented by this object 
     */
    public float floatValue() {
	return value;
    }

    /**
     * Returns the <code>double</code> value of this
     * <code>Float</code> object.
     * 
     * @return the <code>float</code> value represented by this 
     *         object is converted to type <code>double</code> and the 
     *         result of the conversion is returned.  
     */
    public double doubleValue() {
	return (double)value;
    }

    /**
     * Returns a hash code for this <code>Float</code> object. The
     * result is the integer bit representation, exactly as produced
     * by the method {@link #floatToIntBits(float)}, of the primitive
     * <code>float</code> value represented by this <code>Float</code>
     * object.
     *
     * @return a hash code value for this object.  
     */
    public int hashCode() {
	return floatToIntBits(value);
    }

    /**

     * Compares this object against the specified object.  The result
     * is <code>true</code> if and only if the argument is not
     * <code>null</code> and is a <code>Float</code> object that
     * represents a <code>float</code> with the same value as the
     * <code>float</code> represented by this object. For this
     * purpose, two <code>float</code> values are considered to be the
     * same if and only if the method {@link #floatToIntBits(float)}
     * returns the identical <code>int</code> value when applied to
     * each.
     * <p>
     * Note that in most cases, for two instances of class
     * <code>Float</code>, <code>f1</code> and <code>f2</code>, the value
     * of <code>f1.equals(f2)</code> is <code>true</code> if and only if
     * <blockquote><pre>
     *   f1.floatValue() == f2.floatValue()
     * </pre></blockquote>
     * <p>
     * also has the value <code>true</code>. However, there are two exceptions:
     * <ul>
     * <li>If <code>f1</code> and <code>f2</code> both represent
     *     <code>Float.NaN</code>, then the <code>equals</code> method returns
     *     <code>true</code>, even though <code>Float.NaN==Float.NaN</code>
     *     has the value <code>false</code>.
     * <li>If <code>f1</code> represents <code>+0.0f</code> while
     *     <code>f2</code> represents <code>-0.0f</code>, or vice
     *     versa, the <code>equal</code> test has the value
     *     <code>false</code>, even though <code>0.0f==-0.0f</code>
     *     has the value <code>true</code>.
     * </ul>
     * This definition allows hash tables to operate properly.
     *
     * @param obj the object to be compared
     * @return  <code>true</code> if the objects are the same;
     *          <code>false</code> otherwise.
     * @see java.lang.Float#floatToIntBits(float)
     */
    public boolean equals(Object obj) {
	return (obj instanceof Float)
	       && (floatToIntBits(((Float)obj).value) == floatToIntBits(value));
    }

    /**
     * Returns a representation of the specified floating-point value
     * according to the IEEE 754 floating-point "single format" bit
     * layout.
     * <p>
     * Bit 31 (the bit that is selected by the mask 
     * <code>0x80000000</code>) represents the sign of the floating-point 
     * number. 
     * Bits 30-23 (the bits that are selected by the mask 
     * <code>0x7f800000</code>) represent the exponent. 
     * Bits 22-0 (the bits that are selected by the mask 
     * <code>0x007fffff</code>) represent the significand (sometimes called 
     * the mantissa) of the floating-point number. 
     * <p>If the argument is positive infinity, the result is 
     * <code>0x7f800000</code>. 
     * <p>If the argument is negative infinity, the result is 
     * <code>0xff800000</code>. 
     * <p>If the argument is NaN, the result is <code>0x7fc00000</code>. 
     * <p>
     * In all cases, the result is an integer that, when given to the 
     * {@link #intBitsToFloat(int)} method, will produce a floating-point 
     * value the same as the argument to <code>floatToIntBits</code>
     * (except all NaN values are collapsed to a single
     * "canonical" NaN value).
     * 
     * @param   value   a floating-point number.
     * @return the bits that represent the floating-point number.  
     */
    public static int floatToIntBits(float value) {
	int result = floatToRawIntBits(value);
	// Check for NaN based on values of bit fields, maximum
	// exponent and nonzero significand.
	if ( ((result & FloatConsts.EXP_BIT_MASK) == 
	      FloatConsts.EXP_BIT_MASK) &&
	     (result & FloatConsts.SIGNIF_BIT_MASK) != 0)
	    result = 0x7fc00000;
	return result;
    }

    /**
     * Returns a representation of the specified floating-point value
     * according to the IEEE 754 floating-point "single format" bit
     * layout, preserving Not-a-Number (NaN) values.
     * <p>
     * Bit 31 (the bit that is selected by the mask 
     * <code>0x80000000</code>) represents the sign of the floating-point 
     * number. 
     * Bits 30-23 (the bits that are selected by the mask 
     * <code>0x7f800000</code>) represent the exponent. 
     * Bits 22-0 (the bits that are selected by the mask 
     * <code>0x007fffff</code>) represent the significand (sometimes called 
     * the mantissa) of the floating-point number. 
     * <p>If the argument is positive infinity, the result is 
     * <code>0x7f800000</code>. 
     * <p>If the argument is negative infinity, the result is 
     * <code>0xff800000</code>.
     * <p>
     * If the argument is NaN, the result is the integer representing
     * the actual NaN value.  Unlike the <code>floatToIntBits</code>
     * method, <code>floatToRawIntBits</code> does not collapse all the
     * bit patterns encoding a NaN to a single "canonical"
     * NaN value.
     * <p>
     * In all cases, the result is an integer that, when given to the
     * {@link #intBitsToFloat(int)} method, will produce a
     * floating-point value the same as the argument to
     * <code>floatToRawIntBits</code>.
     * @param   value   a floating-point number.
     * @return the bits that represent the floating-point number.
     * @since 1.3
     */
    public static native int floatToRawIntBits(float value);

    /**
     * Returns the <code>float</code> value corresponding to a given
     * bit representation.
     * The argument is considered to be a representation of a
     * floating-point value according to the IEEE 754 floating-point
     * "single format" bit layout.
     * <p>
     * If the argument is <code>0x7f800000</code>, the result is positive
     * infinity.
     * <p>
     * If the argument is <code>0xff800000</code>, the result is negative
     * infinity.
     * <p>
     * If the argument is any value in the range
     * <code>0x7f800001</code> through <code>0x7fffffff</code> or in
     * the range <code>0xff800001</code> through
     * <code>0xffffffff</code>, the result is a NaN.  No IEEE 754
     * floating-point operation provided by Java can distinguish
     * between two NaN values of the same type with different bit
     * patterns.  Distinct values of NaN are only distinguishable by
     * use of the <code>Float.floatToRawIntBits</code> method.
     * <p>
     * In all other cases, let <i>s</i>, <i>e</i>, and <i>m</i> be three 
     * values that can be computed from the argument: 
     * <blockquote><pre>
     * int s = ((bits >> 31) == 0) ? 1 : -1;
     * int e = ((bits >> 23) & 0xff);
     * int m = (e == 0) ?
     *                 (bits & 0x7fffff) << 1 :
     *                 (bits & 0x7fffff) | 0x800000;
     * </pre></blockquote>
     * Then the floating-point result equals the value of the mathematical 
     * expression <i>s</i>·<i>m</i>·2<sup><i>e</i>-150</sup>.
     *<p>
     * Note that this method may not be able to return a
     * <code>float</code> NaN with exactly same bit pattern as the
     * <code>int</code> argument.  IEEE 754 distinguishes between two
     * kinds of NaNs, quiet NaNs and <i>signaling NaNs</i>.  The
     * differences between the two kinds of NaN are generally not
     * visible in Java.  Arithmetic operations on signaling NaNs turn
     * them into quiet NaNs with a different, but often similar, bit
     * pattern.  However, on some processors merely copying a
     * signaling NaN also performs that conversion.  In particular,
     * copying a signaling NaN to return it to the calling method may
     * perform this conversion.  So <code>intBitsToFloat</code> may
     * not be able to return a <code>float</code> with a signaling NaN
     * bit pattern.  Consequently, for some <code>int</code> values,
     * <code>floatToRawIntBits(intBitsToFloat(start))</code> may
     * <i>not</i> equal <code>start</code>.  Moreover, which
     * particular bit patterns represent signaling NaNs is platform
     * dependent; although all NaN bit patterns, quiet or signaling,
     * must be in the NaN range identified above.
     *
     * @param   bits   an integer.
     * @return  the <code>float</code> floating-point value with the same bit
     *          pattern.
     */
    public static native float intBitsToFloat(int bits);

    /**
     * Compares two <code>Float</code> objects numerically.  There are
     * two ways in which comparisons performed by this method differ
     * from those performed by the Java language numerical comparison
     * operators (<code><, <=, ==, >= ></code>) when
     * applied to primitive <code>float</code> values:
     * <ul><li>
     *		<code>Float.NaN</code> is considered by this method to
     *		be equal to itself and greater than all other
     *		<code>float</code> values
     *		(including <code>Float.POSITIVE_INFINITY</code>).
     * <li>
     *		<code>0.0f</code> is considered by this method to be greater
     *		than <code>-0.0f</code>.
     * </ul>
     * This ensures that the <i>natural ordering</i> of <tt>Float</tt>
     * objects imposed by this method is <i>consistent with equals</i>.
     *
     * @param   anotherFloat   the <code>Float</code> to be compared.
     * @return  the value <code>0</code> if <code>anotherFloat</code> is
     *		numerically equal to this <code>Float</code>; a value
     *		less than <code>0</code> if this <code>Float</code>
     *		is numerically less than <code>anotherFloat</code>;
     *		and a value greater than <code>0</code> if this
     *		<code>Float</code> is numerically greater than
     *		<code>anotherFloat</code>.
     *		
     * @since   1.2
     * @see Comparable#compareTo(Object)
     */
    public int compareTo(Float anotherFloat) {
        return Float.compare(value, anotherFloat.value);
    }

    /**
     * Compares the two specified <code>float</code> values. The sign
     * of the integer value returned is the same as that of the
     * integer that would be returned by the call:
     * <pre>
     *    new Float(f1).compareTo(new Float(f2))
     * </pre>
     *
     * @param   f1        the first <code>float</code> to compare.
     * @param   f2        the second <code>float</code> to compare.
     * @return  the value <code>0</code> if <code>f1</code> is
     *		numerically equal to <code>f2</code>; a value less than
     *          <code>0</code> if <code>f1</code> is numerically less than
     *		<code>f2</code>; and a value greater than <code>0</code>
     *		if <code>f1</code> is numerically greater than
     *		<code>f2</code>.
     * @since 1.4 
     */
    public static int compare(float f1, float f2) {
       if (f1 < f2)
            return -1;		 // Neither val is NaN, thisVal is smaller
        if (f1 > f2)
            return 1;		 // Neither val is NaN, thisVal is larger

        int thisBits = Float.floatToIntBits(f1);
        int anotherBits = Float.floatToIntBits(f2);

        return (thisBits == anotherBits ?  0 : // Values are equal
                (thisBits < anotherBits ? -1 : // (-0.0, 0.0) or (!NaN, NaN)
                 1));                          // (0.0, -0.0) or (NaN, !NaN)
    }

    /** use serialVersionUID from JDK 1.0.2 for interoperability */
    private static final long serialVersionUID = -2671257302660747028L;
}