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	/*
	* Copyright (c) 1994, 2013, Oracle and/or its affiliates. All rights reserved.
	* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
	*
	* This code is free software; you can redistribute it and/or modify it
	* under the terms of the GNU General Public License version 2 only, as
	* published by the Free Software Foundation. Oracle designates this
	* particular file as subject to the "Classpath" exception as provided
	* by Oracle in the LICENSE file that accompanied this code.
	*
	* This code is distributed in the hope that it will be useful, but WITHOUT
	* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
	* FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
	* version 2 for more details (a copy is included in the LICENSE file that
	* accompanied this code).
	*
	* You should have received a copy of the GNU General Public License version
	* 2 along with this work; if not, write to the Free Software Foundation,
	* Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
	*
	* Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
	* or visit www.oracle.com if you need additional information or have any
	* questions.
	*/

	package java.lang;

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

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

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

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

	/**
	* A constant holding the largest positive finite value of type
	* {@code float}, (2-2<sup>-23</sup>)·2<sup>127</sup>.
	* It is equal to the hexadecimal floating-point literal
	* {@code 0x1.fffffeP+127f} and also equal to
	* {@code Float.intBitsToFloat(0x7f7fffff)}.
	*/
	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}, 2<sup>-149</sup>. It is equal to the
	* hexadecimal floating-point literal {@code 0x0.000002P-126f}
	* and also equal to {@code Float.intBitsToFloat(0x1)}.
	*/
	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 {@code float} value.
	*
	* @since 1.5
	*/
	public static final int SIZE = 32;

	/**
	* The number of bytes used to represent a {@code float} value.
	*
	* @since 1.8
	*/
	public static final int BYTES = SIZE / Byte.SIZE;

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

	/**
	* Returns a string representation of the {@code float}
	* argument. All characters mentioned below are ASCII characters.
	* <ul>
	* <li>If the argument is NaN, the result is the string
	* "{@code NaN}".
	* <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 '\u005Cu002D'}); 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"}; thus, positive infinity produces
	* the result {@code "Infinity"} and negative infinity
	* produces the result {@code "-Infinity"}.
	* <li>If <i>m</i> is zero, it is represented by the characters
	* {@code "0.0"}; thus, negative zero produces the result
	* {@code "-0.0"} and positive zero produces the result
	* {@code "0.0"}.
	* <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 '\u005Cu002E'}), 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> {@literal <} 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> {@literal <} 10.
	* The magnitude is then represented as the integer part of
	* <i>a</i>, as a single decimal digit, followed by
	* '{@code .}' ({@code '\u005Cu002E'}), followed by
	* decimal digits representing the fractional part of
	* <i>a</i>, followed by the letter '{@code E}'
	* ({@code '\u005Cu0045'}), followed by a representation
	* of <i>n</i> as a decimal integer, as produced by the
	* method {@link java.lang.Integer#toString(int)}.
	*
	* </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}. 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}
	* value nearest to <i>x</i>; or, if two {@code float} 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}.
	*
	* <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 FloatingDecimal.toJavaFormatString(f);
	}

	/**
	* Returns a hexadecimal string representation of the
	* {@code float} argument. All characters mentioned below are
	* ASCII characters.
	*
	* <ul>
	* <li>If the argument is NaN, the result is the string
	* "{@code NaN}".
	* <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 '\u005Cu002D'}); 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"}; thus, positive infinity produces the
	* result {@code "Infinity"} and negative infinity produces
	* the result {@code "-Infinity"}.
	*
	* <li>If <i>m</i> is zero, it is represented by the string
	* {@code "0x0.0p0"}; thus, negative zero produces the result
	* {@code "-0x0.0p0"} and positive zero produces the result
	* {@code "0x0.0p0"}.
	*
	* <li>If <i>m</i> is a {@code float} value with a
	* normalized representation, substrings are used to represent the
	* significand and exponent fields. The significand is
	* represented by the characters {@code "0x1."}
	* 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"} 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} value with a subnormal
	* representation, the significand is represented by the
	* characters {@code "0x0."} 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"}. Note that there must be at
	* least one nonzero digit in a subnormal significand.
	*
	* </ul>
	*
	* </ul>
	*
	* <table border>
	* <caption>Examples</caption>
	* <tr><th>Floating-point Value</th><th>Hexadecimal String</th>
	* <tr><td>{@code 1.0}</td> <td>{@code 0x1.0p0}</td>
	* <tr><td>{@code -1.0}</td> <td>{@code -0x1.0p0}</td>
	* <tr><td>{@code 2.0}</td> <td>{@code 0x1.0p1}</td>
	* <tr><td>{@code 3.0}</td> <td>{@code 0x1.8p1}</td>
	* <tr><td>{@code 0.5}</td> <td>{@code 0x1.0p-1}</td>
	* <tr><td>{@code 0.25}</td> <td>{@code 0x1.0p-2}</td>
	* <tr><td>{@code Float.MAX_VALUE}</td>
	* <td>{@code 0x1.fffffep127}</td>
	* <tr><td>{@code Minimum Normal Value}</td>
	* <td>{@code 0x1.0p-126}</td>
	* <tr><td>{@code Maximum Subnormal Value}</td>
	* <td>{@code 0x0.fffffep-126}</td>
	* <tr><td>{@code Float.MIN_VALUE}</td>
	* <td>{@code 0x0.000002p-126}</td>
	* </table>
	* @param f the {@code float} 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(Math.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} object holding the
	* {@code float} value represented by the argument string
	* {@code s}.
	*
	* <p>If {@code s} is {@code null}, then a
	* {@code NullPointerException} is thrown.
	*
	* <p>Leading and trailing whitespace characters in {@code s}
	* 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} 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}
	* <dd><i>Sign<sub>opt</sub></i> {@code Infinity}
	* <dd><i>Sign<sub>opt</sub> FloatingPointLiteral</i>
	* <dd><i>Sign<sub>opt</sub> HexFloatingPointLiteral</i>
	* <dd><i>SignedInteger</i>
	* </dl>
	*
	* <dl>
	* <dt><i>HexFloatingPointLiteral</i>:
	* <dd> <i>HexSignificand BinaryExponent FloatTypeSuffix<sub>opt</sub></i>
	* </dl>
	*
	* <dl>
	* <dt><i>HexSignificand:</i>
	* <dd><i>HexNumeral</i>
	* <dd><i>HexNumeral</i> {@code .}
	* <dd>{@code 0x} <i>HexDigits<sub>opt</sub>
	* </i>{@code .}<i> HexDigits</i>
	* <dd>{@code 0X}<i> HexDigits<sub>opt</sub>
	* </i>{@code .} <i>HexDigits</i>
	* </dl>
	*
	* <dl>
	* <dt><i>BinaryExponent:</i>
	* <dd><i>BinaryExponentIndicator SignedInteger</i>
	* </dl>
	*
	* <dl>
	* <dt><i>BinaryExponentIndicator:</i>
	* <dd>{@code p}
	* <dd>{@code P}
	* </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
	* <cite>The Java™ Language Specification</cite>,
	* except that underscores are not accepted between digits.
	* If {@code s} does not have the form of
	* a <i>FloatValue</i>, then a {@code NumberFormatException}
	* is thrown. Otherwise, {@code s} 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}
	* by the usual round-to-nearest rule of IEEE 754 floating-point
	* arithmetic, which includes preserving the sign of a zero
	* value.
	*
	* Note that the round-to-nearest rule also implies overflow and
	* underflow behaviour; if the exact value of {@code s} is large
	* enough in magnitude (greater than or equal to ({@link
	* #MAX_VALUE} + {@link Math#ulp(float) ulp(MAX_VALUE)}/2),
	* rounding to {@code float} will result in an infinity and if the
	* exact value of {@code s} is small enough in magnitude (less
	* than or equal to {@link #MIN_VALUE}/2), rounding to float will
	* result in a zero.
	*
	* Finally, after rounding a {@code Float} object representing
	* this {@code float} 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} is a {@code float} value;
	* {@code 1.0d} is a {@code double} 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}
	* followed by {@code double} to {@code float}, is
	* <em>not</em> equivalent to converting a string directly to
	* {@code float}. For example, if first converted to an
	* intermediate {@code double} and then to
	* {@code float}, the string<br>
	* {@code "1.00000017881393421514957253748434595763683319091796875001d"}<br>
	* results in the {@code float} value
	* {@code 1.0000002f}; if the string is converted directly to
	* {@code float}, <code>1.000000<b>1</b>f</code> results.
	*
	* <p>To avoid calling this method on an invalid string and having
	* a {@code NumberFormatException} 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} object holding the value
	* represented by the {@code String} argument.
	* @throws NumberFormatException if the string does not contain a
	* parsable number.
	*/
	public static Float valueOf(String s) throws NumberFormatException {
	return new Float(parseFloat(s));
	}

	/**
	* Returns a {@code Float} instance representing the specified
	* {@code float} value.
	* If a new {@code Float} 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 {@code Float} instance representing {@code f}.
	* @since 1.5
	*/
	public static Float valueOf(float f) {
	return new Float(f);
	}

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

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

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


	/**
	* Returns {@code true} if the argument is a finite floating-point
	* value; returns {@code false} otherwise (for NaN and infinity
	* arguments).
	*
	* @param f the {@code float} value to be tested
	* @return {@code true} if the argument is a finite
	* floating-point value, {@code false} otherwise.
	* @since 1.8
	*/
	public static boolean isFinite(float f) {
	return Math.abs(f) <= FloatConsts.MAX_VALUE;
	}

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

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

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

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

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

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

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

	/**
	* Returns the value of this {@code Float} as a {@code byte} after
	* a narrowing primitive conversion.
	*
	* @return the {@code float} value represented by this object
	* converted to type {@code byte}
	* @jls 5.1.3 Narrowing Primitive Conversions
	*/
	public byte byteValue() {
	return (byte)value;
	}

	/**
	* Returns the value of this {@code Float} as a {@code short}
	* after a narrowing primitive conversion.
	*
	* @return the {@code float} value represented by this object
	* converted to type {@code short}
	* @jls 5.1.3 Narrowing Primitive Conversions
	* @since JDK1.1
	*/
	public short shortValue() {
	return (short)value;
	}

	/**
	* Returns the value of this {@code Float} as an {@code int} after
	* a narrowing primitive conversion.
	*
	* @return the {@code float} value represented by this object
	* converted to type {@code int}
	* @jls 5.1.3 Narrowing Primitive Conversions
	*/
	public int intValue() {
	return (int)value;
	}

	/**
	* Returns value of this {@code Float} as a {@code long} after a
	* narrowing primitive conversion.
	*
	* @return the {@code float} value represented by this object
	* converted to type {@code long}
	* @jls 5.1.3 Narrowing Primitive Conversions
	*/
	public long longValue() {
	return (long)value;
	}

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

	/**
	* Returns the value of this {@code Float} as a {@code double}
	* after a widening primitive conversion.
	*
	* @return the {@code float} value represented by this
	* object converted to type {@code double}
	* @jls 5.1.2 Widening Primitive Conversions
	*/
	public double doubleValue() {
	return (double)value;
	}

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

	/**
	* Returns a hash code for a {@code float} value; compatible with
	* {@code Float.hashCode()}.
	*
	* @param value the value to hash
	* @return a hash code value for a {@code float} value.
	* @since 1.8
	*/
	public static int hashCode(float value) {
	return floatToIntBits(value);
	}

	/**

	* Compares this object against the specified object. The result
	* is {@code true} if and only if the argument is not
	* {@code null} and is a {@code Float} object that
	* represents a {@code float} with the same value as the
	* {@code float} represented by this object. For this
	* purpose, two {@code float} values are considered to be the
	* same if and only if the method {@link #floatToIntBits(float)}
	* returns the identical {@code int} value when applied to
	* each.
	*
	* <p>Note that in most cases, for two instances of class
	* {@code Float}, {@code f1} and {@code f2}, the value
	* of {@code f1.equals(f2)} is {@code true} if and only if
	*
	* <blockquote><pre>
	* f1.floatValue() == f2.floatValue()
	* </pre></blockquote>
	*
	* <p>also has the value {@code true}. However, there are two exceptions:
	* <ul>
	* <li>If {@code f1} and {@code f2} both represent
	* {@code Float.NaN}, then the {@code equals} method returns
	* {@code true}, even though {@code Float.NaN==Float.NaN}
	* has the value {@code false}.
	* <li>If {@code f1} represents {@code +0.0f} while
	* {@code f2} represents {@code -0.0f}, or vice
	* versa, the {@code equal} test has the value
	* {@code false}, even though {@code 0.0f==-0.0f}
	* has the value {@code true}.
	* </ul>
	*
	* This definition allows hash tables to operate properly.
	*
	* @param obj the object to be compared
	* @return {@code true} if the objects are the same;
	* {@code false} 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}) represents the sign of the floating-point
	* number.
	* Bits 30-23 (the bits that are selected by the mask
	* {@code 0x7f800000}) represent the exponent.
	* Bits 22-0 (the bits that are selected by the mask
	* {@code 0x007fffff}) represent the significand (sometimes called
	* the mantissa) of the floating-point number.
	*
	* <p>If the argument is positive infinity, the result is
	* {@code 0x7f800000}.
	*
	* <p>If the argument is negative infinity, the result is
	* {@code 0xff800000}.
	*
	* <p>If the argument is NaN, the result is {@code 0x7fc00000}.
	*
	* <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}
	* (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}) represents the sign of the floating-point
	* number.
	* Bits 30-23 (the bits that are selected by the mask
	* {@code 0x7f800000}) represent the exponent.
	* Bits 22-0 (the bits that are selected by the mask
	* {@code 0x007fffff}) represent the significand (sometimes called
	* the mantissa) of the floating-point number.
	*
	* <p>If the argument is positive infinity, the result is
	* {@code 0x7f800000}.
	*
	* <p>If the argument is negative infinity, the result is
	* {@code 0xff800000}.
	*
	* <p>If the argument is NaN, the result is the integer representing
	* the actual NaN value. Unlike the {@code floatToIntBits}
	* method, {@code floatToRawIntBits} 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}.
	*
	* @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} 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}, the result is positive
	* infinity.
	*
	* <p>If the argument is {@code 0xff800000}, the result is negative
	* infinity.
	*
	* <p>If the argument is any value in the range
	* {@code 0x7f800001} through {@code 0x7fffffff} or in
	* the range {@code 0xff800001} through
	* {@code 0xffffffff}, 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} 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>{@code
	* 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} NaN with exactly same bit pattern as the
	* {@code int} 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} may
	* not be able to return a {@code float} with a signaling NaN
	* bit pattern. Consequently, for some {@code int} values,
	* {@code floatToRawIntBits(intBitsToFloat(start))} may
	* <i>not</i> equal {@code start}. 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} floating-point value with the same bit
	* pattern.
	*/
	public static native float intBitsToFloat(int bits);

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

	/**
	* Compares the two specified {@code float} 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} to compare.
	* @param f2 the second {@code float} to compare.
	* @return the value {@code 0} if {@code f1} is
	* numerically equal to {@code f2}; a value less than
	* {@code 0} if {@code f1} is numerically less than
	* {@code f2}; and a value greater than {@code 0}
	* if {@code f1} is numerically greater than
	* {@code f2}.
	* @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

	// Cannot use floatToRawIntBits because of possibility of NaNs.
	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)
	}

	/**
	* Adds two {@code float} values together as per the + operator.
	*
	* @param a the first operand
	* @param b the second operand
	* @return the sum of {@code a} and {@code b}
	* @jls 4.2.4 Floating-Point Operations
	* @see java.util.function.BinaryOperator
	* @since 1.8
	*/
	public static float sum(float a, float b) {
	return a + b;
	}

	/**
	* Returns the greater of two {@code float} values
	* as if by calling {@link Math#max(float, float) Math.max}.
	*
	* @param a the first operand
	* @param b the second operand
	* @return the greater of {@code a} and {@code b}
	* @see java.util.function.BinaryOperator
	* @since 1.8
	*/
	public static float max(float a, float b) {
	return Math.max(a, b);
	}

	/**
	* Returns the smaller of two {@code float} values
	* as if by calling {@link Math#min(float, float) Math.min}.
	*
	* @param a the first operand
	* @param b the second operand
	* @return the smaller of {@code a} and {@code b}
	* @see java.util.function.BinaryOperator
	* @since 1.8
	*/
	public static float min(float a, float b) {
	return Math.min(a, b);
	}

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

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