/*
 * Copyright (c) 1994, 2017, Oracle and/or its affiliates. All rights reserved.
 * ORACLE PROPRIETARY/CONFIDENTIAL. Use is subject to license terms.
 *
 *
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 *
 *
 *
 *
 */

package java.lang;

import jdk.internal.math.FloatingDecimal;
import jdk.internal.HotSpotIntrinsicCandidate;

/**
 * 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 1.0
 */
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>)&middot;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 1.1
 */
 @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>&le;
 * <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 &le; <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 class="striped">
 * <caption>Examples</caption>
 * <thead>
 * <tr><th scope="col">Floating-point Value</th><th scope="col">Hexadecimal String</th>
 * </thead>
 * <tbody>
 * <tr><th scope="row">{@code 1.0}</th> <td>{@code 0x1.0p0}</td>
 * <tr><th scope="row">{@code -1.0}</th> <td>{@code -0x1.0p0}</td>
 * <tr><th scope="row">{@code 2.0}</th> <td>{@code 0x1.0p1}</td>
 * <tr><th scope="row">{@code 3.0}</th> <td>{@code 0x1.8p1}</td>
 * <tr><th scope="row">{@code 0.5}</th> <td>{@code 0x1.0p-1}</td>
 * <tr><th scope="row">{@code 0.25}</th> <td>{@code 0x1.0p-2}</td>
 * <tr><th scope="row">{@code Float.MAX_VALUE}</th>
 * <td>{@code 0x1.fffffep127}</td>
 * <tr><th scope="row">{@code Minimum Normal Value}</th>
 * <td>{@code 0x1.0p-126}</td>
 * <tr><th scope="row">{@code Maximum Subnormal Value}</th>
 * <td>{@code 0x0.fffffep-126}</td>
 * <tr><th scope="row">{@code Float.MIN_VALUE}</th>
 * <td>{@code 0x0.000002p-126}</td>
 * </tbody>
 * </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) < Float.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 */
 Double.MIN_EXPONENT-
 Float.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&trade; 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
 */
 @HotSpotIntrinsicCandidate
 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) <= Float.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}.
 *
 * @deprecated
 * It is rarely appropriate to use this constructor. The static factory
 * {@link #valueOf(float)} is generally a better choice, as it is
 * likely to yield significantly better space and time performance.
 */
 @Deprecated(since="9")
 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}.
 *
 * @deprecated
 * It is rarely appropriate to use this constructor. Instead, use the
 * static factory method {@link #valueOf(float)} method as follows:
 * {@code Float.valueOf((float)value)}.
 */
 @Deprecated(since="9")
 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.
 *
 * @deprecated
 * It is rarely appropriate to use this constructor.
 * Use {@link #parseFloat(String)} to convert a string to a
 * {@code float} primitive, or use {@link #valueOf(String)}
 * to convert a string to a {@code Float} object.
 */
 @Deprecated(since="9")
 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 1.1
 */
 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
 */
 @HotSpotIntrinsicCandidate
 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.
 */
 @HotSpotIntrinsicCandidate
 public static int floatToIntBits(float value) {
 if (!isNaN(value)) {
 return floatToRawIntBits(value);
 }
 return 0x7fc00000;
 }

 /**
 * 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
 */
 @HotSpotIntrinsicCandidate
 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>&middot;<i>m</i>&middot;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.
 */
 @HotSpotIntrinsicCandidate
 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;
}