# Class Float

java.lang.Object
java.lang.Number
java.lang.Float

All Implemented Interfaces:
  `Serializable, Comparable<Float>, Constable, ConstantDesc`

public final class Float extends Number implements Comparable<Float>, Constable, ConstantDesc
The `Float` class is the wrapper class for values of the primitive type `float`. An object of type `Float` contains a single field whose type is `float`.

In addition, this class provides several methods for converting a `float` to a `String` and a `String` to a `float`, as well as other constants and methods useful when dealing with a `float`.

This is a value-based class; programmers should treat instances that are equal as interchangeable and should not use instances for synchronization, or unpredictable behavior may occur. For example, in a future release, synchronization may fail.

## Floating-point Equality, Equivalence, and Comparison

The class `java.lang.Double` has a discussion of equality, equivalence, and comparison of floating-point values that is equally applicable to `float` values.

## Decimal ↔ Binary Conversion Issues

The discussion of binary to decimal conversion issues in `java.lang.Double` is also applicable to `float` values.

Since:
  1.0
External Specifications
  - IEEE Standard for Floating-Point Arithmetic
See Also:
  - Serialized Form

- ## Field Summary

  Fields
  Modifier and Type
  Field
  Description
  `static final int`
  `BYTES`
  The number of bytes used to represent a `float` value, 4.
  `static final int`
  `MAX_EXPONENT`
  Maximum exponent a finite `float` variable may have, 127.
  `static final float`
  `MAX_VALUE`
  A constant holding the largest positive finite value of type `float`, (2-2-23)·2127.
  `static final int`
  `MIN_EXPONENT`
  Minimum exponent a normalized `float` variable may have, -126.
  `static final float`
  `MIN_NORMAL`
  A constant holding the smallest positive normal value of type `float`, 2-126.
  `static final float`
  `MIN_VALUE`
  A constant holding the smallest positive nonzero value of type `float`, 2-149.
  `static final float`
  `NaN`
  A constant holding a Not-a-Number (NaN) value of type `float`.
  `static final float`
  `NEGATIVE_INFINITY`
  A constant holding the negative infinity of type `float`.
  `static final float`
  `POSITIVE_INFINITY`
  A constant holding the positive infinity of type `float`.
  `static final int`
  `PRECISION`
  The number of bits in the significand of a `float` value, 24.
  `static final int`
  `SIZE`
  The number of bits used to represent a `float` value, 32.
  `static final Class<Float>`
  `TYPE`
  The `Class` instance representing the primitive type `float`.

- ## Constructor Summary

  Constructors
  Constructor
  Description
  `Float(double value)`
  Deprecated.
  It is rarely appropriate to use this constructor.
  `Float(float value)`
  Deprecated.
  It is rarely appropriate to use this constructor.
  `Float(String s)`
  Deprecated.
  It is rarely appropriate to use this constructor.

- ## Method Summary

  Modifier and Type
  Method
  Description
  `byte`
  `byteValue()`
  Returns the value of this `Float` as a `byte` after a narrowing primitive conversion.
  `static int`
  `compare(float f1, float f2)`
  Compares the two specified `float` values.
  `int`
  `compareTo(Float anotherFloat)`
  Compares two `Float` objects numerically.
  `Optional<Float>`
  `describeConstable()`
  Returns an `Optional` containing the nominal descriptor for this instance, which is the instance itself.
  `double`
  `doubleValue()`
  Returns the value of this `Float` as a `double` after a widening primitive conversion.
  `boolean`
  `equals(Object obj)`
  Compares this object against the specified object.
  `static float`
  `float16ToFloat(short floatBinary16)`
  Returns the `float` value closest to the numerical value of the argument, a floating-point binary16 value encoded in a `short`.
  `static short`
  `floatToFloat16(float f)`
  Returns the floating-point binary16 value, encoded in a `short`, closest in value to the argument.
  `static int`
  `floatToIntBits(float value)`
  Returns a representation of the specified floating-point value according to the IEEE 754 floating-point "single format" bit layout.
  `static int`
  `floatToRawIntBits(float value)`
  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.
  `float`
  `floatValue()`
  Returns the `float` value of this `Float` object.
  `int`
  `hashCode()`
  Returns a hash code for this `Float` object.
  `static int`
  `hashCode(float value)`
  Returns a hash code for a `float` value; compatible with `Float.hashCode()`.
  `static float`
  `intBitsToFloat(int bits)`
  Returns the `float` value corresponding to a given bit representation.
  `int`
  `intValue()`
  Returns the value of this `Float` as an `int` after a narrowing primitive conversion.
  `static boolean`
  `isFinite(float f)`
  Returns `true` if the argument is a finite floating-point value; returns `false` otherwise (for NaN and infinity arguments).
  `boolean`
  `isInfinite()`
  Returns `true` if this `Float` value is infinitely large in magnitude, `false` otherwise.
  `static boolean`
  `isInfinite(float v)`
  Returns `true` if the specified number is infinitely large in magnitude, `false` otherwise.
  `boolean`
  `isNaN()`
  Returns `true` if this `Float` value is a Not-a-Number (NaN), `false` otherwise.
  `static boolean`
  `isNaN(float v)`
  Returns `true` if the specified number is a Not-a-Number (NaN) value, `false` otherwise.
  `long`
  `longValue()`
  Returns value of this `Float` as a `long` after a narrowing primitive conversion.
  `static float`
  `max(float a, float b)`
  Returns the greater of two `float` values as if by calling `Math.max`.
  `static float`
  `min(float a, float b)`
  Returns the smaller of two `float` values as if by calling `Math.min`.
  `static float`
  `parseFloat(String s)`
  Returns a new `float` initialized to the value represented by the specified `String`, as performed by the `valueOf` method of class `Float`.
  `Float`
  `resolveConstantDesc(MethodHandles.Lookup lookup)`
  Resolves this instance as a `ConstantDesc`, the result of which is the instance itself.
  `short`
  `shortValue()`
  Returns the value of this `Float` as a `short` after a narrowing primitive conversion.
  `static float`
  `sum(float a, float b)`
  Adds two `float` values together as per the + operator.
  `static String`
  `toHexString(float f)`
  Returns a hexadecimal string representation of the `float` argument.
  `String`
  `toString()`
  Returns a string representation of this `Float` object.
  `static String`
  `toString(float f)`
  Returns a string representation of the `float` argument.
  `static Float`
  `valueOf(float f)`
  Returns a `Float` instance representing the specified `float` value.
  `static Float`
  `valueOf(String s)`
  Returns a `Float` object holding the `float` value represented by the argument string `s`.

  ### Methods declared in class Object

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

- ## Field Details

  - ### POSITIVE_INFINITY

    public static final float POSITIVE_INFINITY
    A constant holding the positive infinity of type `float`. It is equal to the value returned by `Float.intBitsToFloat(0x7f800000)`.
    See Also:
      - Constant Field Values

  - ### NEGATIVE_INFINITY

    public static final float NEGATIVE_INFINITY
    A constant holding the negative infinity of type `float`. It is equal to the value returned by `Float.intBitsToFloat(0xff800000)`.
    See Also:
      - Constant Field Values

  - ### NaN

    public static final float NaN
    A constant holding a Not-a-Number (NaN) value of type `float`. It is equivalent to the value returned by`Float.intBitsToFloat(0x7fc00000)`.
    See Also:
      - Constant Field Values

  - ### MAX_VALUE

    public static final float MAX_VALUE
    A constant holding the largest positive finite value of type `float`, (2-2-23)·2127. It is equal to the hexadecimal floating-point literal `0x1.fffffeP+127f` and also equal to `Float.intBitsToFloat(0x7f7fffff)`.
    See Also:
      - Constant Field Values

  - ### MIN_NORMAL

    public static final float MIN_NORMAL
    A constant holding the smallest positive normal value of type `float`, 2-126. It is equal to the hexadecimal floating-point literal `0x1.0p-126f` and also equal to `Float.intBitsToFloat(0x00800000)`.
    Since:
      1.6
    See Also:
      - Constant Field Values

  - ### MIN_VALUE

    public static final float MIN_VALUE
    A constant holding the smallest positive nonzero value of type `float`, 2-149. It is equal to the hexadecimal floating-point literal `0x0.000002P-126f` and also equal to `Float.intBitsToFloat(0x1)`.
    See Also:
      - Constant Field Values

  - ### SIZE

    public static final int SIZE
    The number of bits used to represent a `float` value, 32.
    Since:
      1.5
    See Also:
      - Constant Field Values

  - ### PRECISION

    public static final int PRECISION
    The number of bits in the significand of a `float` value, 24. This is the parameter N in section 4.2.3 of The Java Language Specification.
    Since:
      19
    See Also:
      - Constant Field Values

  - ### MAX_EXPONENT

    public static final int MAX_EXPONENT
    Maximum exponent a finite `float` variable may have, 127. It is equal to the value returned by `Math.getExponent(Float.MAX_VALUE)`.
    Since:
      1.6
    See Also:
      - Constant Field Values

  - ### MIN_EXPONENT

    public static final int MIN_EXPONENT
    Minimum exponent a normalized `float` variable may have, -126. It is equal to the value returned by `Math.getExponent(Float.MIN_NORMAL)`.
    Since:
      1.6
    See Also:
      - Constant Field Values

  - ### BYTES

    public static final int BYTES
    The number of bytes used to represent a `float` value, 4.
    Since:
      1.8
    See Also:
      - Constant Field Values

  - ### TYPE

    public static final Class<Float> TYPE
    The `Class` instance representing the primitive type `float`.
    Since:
      1.1

- ## Constructor Details

  - ### Float

    @Deprecated(since="9") public Float(float value)
    Deprecated.
    It is rarely appropriate to use this constructor. The static factory `valueOf(float)` is generally a better choice, as it is likely to yield significantly better space and time performance.
    Constructs a newly allocated `Float` object that represents the primitive `float` argument.
    Parameters:
      `value` - the value to be represented by the `Float`.

  - ### Float

    @Deprecated(since="9") public Float(double value)
    Deprecated.
    It is rarely appropriate to use this constructor. Instead, use the static factory method `valueOf(float)` method as follows: `Float.valueOf((float)value)`.
    Constructs a newly allocated `Float` object that represents the argument converted to type `float`.
    Parameters:
      `value` - the value to be represented by the `Float`.

  - ### Float

    @Deprecated(since="9") public Float(String s) throws NumberFormatException
    Deprecated.
    It is rarely appropriate to use this constructor. Use `parseFloat(String)` to convert a string to a `float` primitive, or use `valueOf(String)` to convert a string to a `Float` object.
    Constructs a newly allocated `Float` object that represents the floating-point value of type `float` represented by the string. The string is converted to a `float` value as if by the `valueOf` method.
    Parameters:
      `s` - a string to be converted to a `Float`.
    Throws:
      `NumberFormatException` - if the string does not contain a parsable number.

- ## Method Details

  - ### toString

    public static String toString(float f)
    Returns a string representation of the `float` argument. All characters mentioned below are ASCII characters.
    - If the argument is NaN, the result is the string "`NaN`".
    - 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 '`-`' (`'\u002D'`); if the sign is positive, no sign character appears in the result. As for the magnitude m:
      - If m is infinity, it is represented by the characters `"Infinity"`; thus, positive infinity produces the result `"Infinity"` and negative infinity produces the result `"-Infinity"`.
      - If m is zero, it is represented by the characters `"0.0"`; thus, negative zero produces the result `"-0.0"` and positive zero produces the result `"0.0"`.
      - Otherwise m is positive and finite. It is converted to a string in two stages:
        - Selection of a decimal: A well-defined decimal dm is selected to represent m. This decimal is (almost always) the shortest one that rounds to m according to the round to nearest rounding policy of IEEE 754 floating-point arithmetic.
        - Formatting as a string: The decimal dm is formatted as a string, either in plain or in computerized scientific notation, depending on its value.

    A decimal is a number of the form s×10i for some (unique) integers s > 0 and i such that s is not a multiple of 10. These integers are the significand and the exponent, respectively, of the decimal. The length of the decimal is the (unique) positive integer n meeting 10n-1 ≤ s < 10n.

    The decimal dm for a finite positive m is defined as follows:

    - Let R be the set of all decimals that round to m according to the usual round to nearest rounding policy of IEEE 754 floating-point arithmetic.
    - Let p be the minimal length over all decimals in R.
    - When p ≥ 2, let T be the set of all decimals in R with length p. Otherwise, let T be the set of all decimals in R with length 1 or 2.
    - Define dm as the decimal in T that is closest to m. Or if there are two such decimals in T, select the one with the even significand.

    The (uniquely) selected decimal dm is then formatted. Let s, i and n be the significand, exponent and length of dm, respectively. Further, let e = n + i - 1 and let s1…sn be the usual decimal expansion of s. Note that s1 ≠ 0 and sn ≠ 0. Below, the decimal point `'.'` is `'\u002E'` and the exponent indicator `'E'` is `'\u0045'`.

    - Case -3 ≤ e < 0: dm is formatted as `0.0`…`0` s1…sn, where there are exactly -(n + i) zeroes between the decimal point and s1. For example, 123 × 10-4 is formatted as `0.0123`.
    - Case 0 ≤ e < 7:
      - Subcase i ≥ 0: dm is formatted as s1…sn`0`…`0.0`, where there are exactly i zeroes between sn and the decimal point. For example, 123 × 102 is formatted as `12300.0`.
      - Subcase i < 0: dm is formatted as s1…sn+i`.`sn+i+1…sn, where there are exactly -i digits to the right of the decimal point. For example, 123 × 10-1 is formatted as `12.3`.
    - Case e < -3 or e ≥ 7: computerized scientific notation is used to format dm. Here e is formatted as by `Integer.toString(int)`.
      - Subcase n = 1: dm is formatted as s1`.0E` e. For example, 1 × 1023 is formatted as `1.0E23`.
      - Subcase n > 1: dm is formatted as s1`.`s2…sn`E` e. For example, 123 × 10-21 is formatted as `1.23E-19`.

    To create localized string representations of a floating-point value, use subclasses of `NumberFormat`.

    API Note:
      This method corresponds to the general functionality of the convertToDecimalCharacter operation defined in IEEE 754; however, that operation is defined in terms of specifying the number of significand digits used in the conversion. Code to do such a conversion in the Java platform includes converting the `float` to a `BigDecimal` exactly and then rounding the `BigDecimal` to the desired number of digits; sample code:

          floatf = 0.1f;
          int digits = 15;
          BigDecimal bd = new BigDecimal(f);
          String result = bd.round(new MathContext(digits,  RoundingMode.HALF_UP));
          // 0.100000001490116

    Parameters:
      `f` - the `float` to be converted.
    Returns:
      a string representation of the argument.

  - ### toHexString

    public static String toHexString(float f)
    Returns a hexadecimal string representation of the `float` argument. All characters mentioned below are ASCII characters.
    - If the argument is NaN, the result is the string "`NaN`".
    - 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 '`-`' (`'\u002D'`); if the sign is positive, no sign character appears in the result. As for the magnitude m:
      - If m is infinity, it is represented by the string `"Infinity"`; thus, positive infinity produces the result `"Infinity"` and negative infinity produces the result `"-Infinity"`.
      - If m is zero, it is represented by the string `"0x0.0p0"`; thus, negative zero produces the result `"-0x0.0p0"` and positive zero produces the result `"0x0.0p0"`.
      - If m is a `float` value with a normalized representation, substrings are used to represent the significand and exponent fields. The significand is represented by the characters `"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 `"p"` followed by a decimal string of the unbiased exponent as if produced by a call to `Integer.toString` on the exponent value.
      - If m is a `float` value with a subnormal representation, the significand is represented by the characters `"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 `"p-126"`. Note that there must be at least one nonzero digit in a subnormal significand.

    Examples
    Floating-point Value | Hexadecimal String
    --- | ---
    `1.0` | `0x1.0p0`
    `-1.0` | `-0x1.0p0`
    `2.0` | `0x1.0p1`
    `3.0` | `0x1.8p1`
    `0.5` | `0x1.0p-1`
    `0.25` | `0x1.0p-2`
    `Float.MAX_VALUE` | `0x1.fffffep127`
    `Minimum Normal Value` | `0x1.0p-126`
    `Maximum Subnormal Value` | `0x0.fffffep-126`
    `Float.MIN_VALUE` | `0x0.000002p-126`

    API Note:
      This method corresponds to the convertToHexCharacter operation defined in IEEE 754.
    Parameters:
      `f` - the `float` to be converted.
    Returns:
      a hex string representation of the argument.
    Since:
      1.5

  - ### valueOf

    public static Float valueOf(String s) throws NumberFormatException
    Returns a `Float` object holding the `float` value represented by the argument string `s`.

    If `s` is `null`, then a `NullPointerException` is thrown.

    Leading and trailing whitespace characters in `s` are ignored. Whitespace is removed as if by the `String.trim()` method; that is, both ASCII space and control characters are removed. The rest of `s` should constitute a FloatValue as described by the lexical syntax rules:

    > FloatValue:
    >   Signopt `NaN`
    >   Signopt `Infinity`
    >   Signopt FloatingPointLiteral
    >   Signopt HexFloatingPointLiteral
    >   SignedInteger
    > HexFloatingPointLiteral:
    >   HexSignificand BinaryExponent FloatTypeSuffixopt
    > HexSignificand:
    >   HexNumeral
    >   HexNumeral `.`
    >   `0x` HexDigitsopt `.` HexDigits
    >   `0X` HexDigitsopt `.` HexDigits
    > BinaryExponent:
    >   BinaryExponentIndicator SignedInteger
    > BinaryExponentIndicator:
    >   `p`
    >   `P`

    where Sign, FloatingPointLiteral, HexNumeral, HexDigits, SignedInteger and FloatTypeSuffix are as defined in the lexical structure sections of The Java Language Specification, except that underscores are not accepted between digits. If `s` does not have the form of a FloatValue, then a `NumberFormatException` is thrown. Otherwise, `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 `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 `s` is large enough in magnitude (greater than or equal to (`MAX_VALUE` + `ulp(MAX_VALUE)`/2), rounding to `float` will result in an infinity and if the exact value of `s` is small enough in magnitude (less than or equal to `MIN_VALUE`/2), rounding to float will result in a zero. Finally, after rounding a `Float` object representing this `float` value is returned.

    Note that trailing format specifiers, specifiers that determine the type of a floating-point literal (`1.0f` is a `float` value; `1.0d` is a `double` value), do not 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 `double` followed by `double` to `float`, is not equivalent to converting a string directly to `float`. For example, if first converted to an intermediate `double` and then to `float`, the string
    `"1.00000017881393421514957253748434595763683319091796875001d"`
    results in the `float` value `1.0000002f`; if the string is converted directly to `float`, `1.0000001f` results.

    To avoid calling this method on an invalid string and having a `NumberFormatException` be thrown, the documentation for `Double.valueOf` lists a regular expression which can be used to screen the input.

    API Note:
      To interpret localized string representations of a floating-point value, or string representations that have non-ASCII digits, use `NumberFormat`. For example,

              NumberFormat.getInstance(l).parse(s).floatValue();

      where `l` is the desired locale, or `Locale.ROOT` if locale insensitive., This method corresponds to the convertFromDecimalCharacter and convertFromHexCharacter operations defined in IEEE 754.
    Parameters:
      `s` - the string to be parsed.
    Returns:
      a `Float` object holding the value represented by the `String` argument.
    Throws:
      `NumberFormatException` - if the string does not contain a parsable number.
    See Also:
      - Decimal ↔ Binary Conversion Issues

  - ### valueOf

    public static Float valueOf(float f)
    Returns a `Float` instance representing the specified `float` value. If a new `Float` instance is not required, this method should generally be used in preference to the constructor `Float(float)`, as this method is likely to yield significantly better space and time performance by caching frequently requested values.
    Parameters:
      `f` - a float value.
    Returns:
      a `Float` instance representing `f`.
    Since:
      1.5

  - ### parseFloat

    public static float parseFloat(String s) throws NumberFormatException
    Returns a new `float` initialized to the value represented by the specified `String`, as performed by the `valueOf` method of class `Float`.
    Parameters:
      `s` - the string to be parsed.
    Returns:
      the `float` value represented by the string argument.
    Throws:
      `NullPointerException` - if the string is null
      `NumberFormatException` - if the string does not contain a parsable `float`.
    Since:
      1.2
    See Also:
      - `valueOf(String)`
      - Decimal ↔ Binary Conversion Issues

  - ### isNaN

    public static boolean isNaN(float v)
    Returns `true` if the specified number is a Not-a-Number (NaN) value, `false` otherwise.
    API Note:
      This method corresponds to the isNaN operation defined in IEEE 754.
    Parameters:
      `v` - the value to be tested.
    Returns:
      `true` if the argument is NaN; `false` otherwise.

  - ### isInfinite

    public static boolean isInfinite(float v)
    Returns `true` if the specified number is infinitely large in magnitude, `false` otherwise.
    API Note:
      This method corresponds to the isInfinite operation defined in IEEE 754.
    Parameters:
      `v` - the value to be tested.
    Returns:
      `true` if the argument is positive infinity or negative infinity; `false` otherwise.

  - ### isFinite

    public static boolean isFinite(float f)
    Returns `true` if the argument is a finite floating-point value; returns `false` otherwise (for NaN and infinity arguments).
    API Note:
      This method corresponds to the isFinite operation defined in IEEE 754.
    Parameters:
      `f` - the `float` value to be tested
    Returns:
      `true` if the argument is a finite floating-point value, `false` otherwise.
    Since:
      1.8

  - ### isNaN

    public boolean isNaN()
    Returns `true` if this `Float` value is a Not-a-Number (NaN), `false` otherwise.
    Returns:
      `true` if the value represented by this object is NaN; `false` otherwise.

  - ### isInfinite

    public boolean isInfinite()
    Returns `true` if this `Float` value is infinitely large in magnitude, `false` otherwise.
    Returns:
      `true` if the value represented by this object is positive infinity or negative infinity; `false` otherwise.

  - ### toString

    public String toString()
    Returns a string representation of this `Float` object. The primitive `float` value represented by this object is converted to a `String` exactly as if by the method `toString` of one argument.
    Overrides:
      `toString` in class `Object`
    Returns:
      a `String` representation of this object.
    See Also:
      - `toString(float)`

  - ### byteValue

    public byte byteValue()
    Returns the value of this `Float` as a `byte` after a narrowing primitive conversion.
    Overrides:
      `byteValue` in class `Number`
    Returns:
      the `float` value represented by this object converted to type `byte`
    See Java Language Specification:
      5.1.3 Narrowing Primitive Conversion

  - ### shortValue

    public short shortValue()
    Returns the value of this `Float` as a `short` after a narrowing primitive conversion.
    Overrides:
      `shortValue` in class `Number`
    Returns:
      the `float` value represented by this object converted to type `short`
    See Java Language Specification:
      5.1.3 Narrowing Primitive Conversion
    Since:
      1.1

  - ### intValue

    public int intValue()
    Returns the value of this `Float` as an `int` after a narrowing primitive conversion.
    Specified by:
      `intValue` in class `Number`
    API Note:
      This method corresponds to the convertToIntegerTowardZero operation defined in IEEE 754.
    Returns:
      the `float` value represented by this object converted to type `int`
    See Java Language Specification:
      5.1.3 Narrowing Primitive Conversion

  - ### longValue

    public long longValue()
    Returns value of this `Float` as a `long` after a narrowing primitive conversion.
    Specified by:
      `longValue` in class `Number`
    API Note:
      This method corresponds to the convertToIntegerTowardZero operation defined in IEEE 754.
    Returns:
      the `float` value represented by this object converted to type `long`
    See Java Language Specification:
      5.1.3 Narrowing Primitive Conversion

  - ### floatValue

    public float floatValue()
    Returns the `float` value of this `Float` object.
    Specified by:
      `floatValue` in class `Number`
    Returns:
      the `float` value represented by this object

  - ### doubleValue

    public double doubleValue()
    Returns the value of this `Float` as a `double` after a widening primitive conversion.
    Specified by:
      `doubleValue` in class `Number`
    API Note:
      This method corresponds to the convertFormat operation defined in IEEE 754.
    Returns:
      the `float` value represented by this object converted to type `double`
    See Java Language Specification:
      5.1.2 Widening Primitive Conversion

  - ### hashCode

    public int hashCode()
    Returns a hash code for this `Float` object. The result is the integer bit representation, exactly as produced by the method `floatToIntBits(float)`, of the primitive `float` value represented by this `Float` object.
    Overrides:
      `hashCode` in class `Object`
    Returns:
      a hash code value for this object.
    See Also:
      - `Object.equals(java.lang.Object)`
      - `System.identityHashCode(Object)`

  - ### hashCode

    public static int hashCode(float value)
    Returns a hash code for a `float` value; compatible with `Float.hashCode()`.
    Parameters:
      `value` - the value to hash
    Returns:
      a hash code value for a `float` value.
    Since:
      1.8

  - ### equals

    public boolean equals(Object obj)
    Compares this object against the specified object. The result is `true` if and only if the argument is not `null` and is a `Float` object that represents a `float` with the same value as the `float` represented by this object. For this purpose, two `float` values are considered to be the same if and only if the method `floatToIntBits(float)` returns the identical `int` value when applied to each.
    Overrides:
      `equals` in class `Object`
    API Note:
      This method is defined in terms of `floatToIntBits(float)` rather than the `==` operator on `float` values since the `==` operator does not define an equivalence relation and to satisfy the equals contract an equivalence relation must be implemented; see this discussion for details of floating-point equality and equivalence.
    Parameters:
      `obj` - the object to be compared
    Returns:
      `true` if the objects are the same; `false` otherwise.
    See Java Language Specification:
      15.21.1 Numerical Equality Operators == and !=
    See Also:
      - `floatToIntBits(float)`

  - ### floatToIntBits

    public static int floatToIntBits(float value)
    Returns a representation of the specified floating-point value according to the IEEE 754 floating-point "single format" bit layout.

    Bit 31 (the bit that is selected by the mask `0x80000000`) represents the sign of the floating-point number. Bits 30-23 (the bits that are selected by the mask `0x7f800000`) represent the exponent. Bits 22-0 (the bits that are selected by the mask `0x007fffff`) represent the significand (sometimes called the mantissa) of the floating-point number.

    If the argument is positive infinity, the result is `0x7f800000`.

    If the argument is negative infinity, the result is `0xff800000`.

    If the argument is NaN, the result is `0x7fc00000`.

    In all cases, the result is an integer that, when given to the `intBitsToFloat(int)` method, will produce a floating-point value the same as the argument to `floatToIntBits` (except all NaN values are collapsed to a single "canonical" NaN value).

    Parameters:
      `value` - a floating-point number.
    Returns:
      the bits that represent the floating-point number.

  - ### floatToRawIntBits

    public static int floatToRawIntBits(float value)
    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.

    Bit 31 (the bit that is selected by the mask `0x80000000`) represents the sign of the floating-point number. Bits 30-23 (the bits that are selected by the mask `0x7f800000`) represent the exponent. Bits 22-0 (the bits that are selected by the mask `0x007fffff`) represent the significand (sometimes called the mantissa) of the floating-point number.

    If the argument is positive infinity, the result is `0x7f800000`.

    If the argument is negative infinity, the result is `0xff800000`.

    If the argument is NaN, the result is the integer representing the actual NaN value. Unlike the `floatToIntBits` method, `floatToRawIntBits` does not collapse all the bit patterns encoding a NaN to a single "canonical" NaN value.

    In all cases, the result is an integer that, when given to the `intBitsToFloat(int)` method, will produce a floating-point value the same as the argument to `floatToRawIntBits`.

    Parameters:
      `value` - a floating-point number.
    Returns:
      the bits that represent the floating-point number.
    Since:
      1.3

  - ### intBitsToFloat

    public static float intBitsToFloat(int bits)
    Returns the `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.

    If the argument is `0x7f800000`, the result is positive infinity.

    If the argument is `0xff800000`, the result is negative infinity.

    If the argument is any value in the range `0x7f800001` through `0x7fffffff` or in the range `0xff800001` through `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 `Float.floatToRawIntBits` method.

    In all other cases, let s, e, and m be three values that can be computed from the argument:

        int s = ((bits >> 31) == 0) ? 1 : -1;
        int e = ((bits >> 23) & 0xff);
        int m = (e == 0) ?
                        (bits & 0x7fffff) << 1 :
                        (bits & 0x7fffff) | 0x800000;

    Then the floating-point result equals the value of the mathematical expression s·m·2e-150.

    Note that this method may not be able to return a `float` NaN with exactly same bit pattern as the `int` argument. IEEE 754 distinguishes between two kinds of NaNs, quiet NaNs and signaling NaNs. 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 `intBitsToFloat` may not be able to return a `float` with a signaling NaN bit pattern. Consequently, for some `int` values, `floatToRawIntBits(intBitsToFloat(start))` may not equal `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.

    Parameters:
      `bits` - an integer.
    Returns:
      the `float` floating-point value with the same bit pattern.

  - ### float16ToFloat

    public static float float16ToFloat(short floatBinary16)
    Returns the `float` value closest to the numerical value of the argument, a floating-point binary16 value encoded in a `short`. The conversion is exact; all binary16 values can be exactly represented in `float`. Special cases:
    - If the argument is zero, the result is a zero with the same sign as the argument.
    - If the argument is infinite, the result is an infinity with the same sign as the argument.
    - If the argument is a NaN, the result is a NaN.

    #### IEEE 754 binary16 format

    The IEEE 754 standard defines binary16 as a 16-bit format, along with the 32-bit binary32 format (corresponding to the `float` type) and the 64-bit binary64 format (corresponding to the `double` type). The binary16 format is similar to the other IEEE 754 formats, except smaller, having all the usual IEEE 754 values such as NaN, signed infinities, signed zeros, and subnormals. The parameters (JLS 4.2.3) for the binary16 format are N = 11 precision bits, K = 5 exponent bits, Emax = 15, and Emin = -14.
    API Note:
      This method corresponds to the convertFormat operation defined in IEEE 754 from the binary16 format to the binary32 format. The operation of this method is analogous to a primitive widening conversion (JLS 5.1.2).
    Parameters:
      `floatBinary16` - the binary16 value to convert to `float`
    Returns:
      the `float` value closest to the numerical value of the argument, a floating-point binary16 value encoded in a `short`
    Since:
      20

  - ### floatToFloat16

    public static short floatToFloat16(float f)
    Returns the floating-point binary16 value, encoded in a `short`, closest in value to the argument. The conversion is computed under the round to nearest even rounding mode. Special cases:
    - If the argument is zero, the result is a zero with the same sign as the argument.
    - If the argument is infinite, the result is an infinity with the same sign as the argument.
    - If the argument is a NaN, the result is a NaN.
    The binary16 format is discussed in more detail in the `float16ToFloat(short)` method.
    API Note:
      This method corresponds to the convertFormat operation defined in IEEE 754 from the binary32 format to the binary16 format. The operation of this method is analogous to a primitive narrowing conversion (JLS 5.1.3).
    Parameters:
      `f` - the `float` value to convert to binary16
    Returns:
      the floating-point binary16 value, encoded in a `short`, closest in value to the argument
    Since:
      20

  - ### compareTo

    public int compareTo(Float anotherFloat)
    Compares two `Float` objects numerically. This method imposes a total order on `Float` objects with two differences compared to the incomplete order defined by the Java language numerical comparison operators (`<, <=, ==, >=, >`) on `float` values.
    - A NaN is unordered with respect to other values and unequal to itself under the comparison operators. This method chooses to define `Float.NaN` to be equal to itself and greater than all other `double` values (including `Float.POSITIVE_INFINITY`).
    - Positive zero and negative zero compare equal numerically, but are distinct and distinguishable values. This method chooses to define positive zero (`+0.0f`), to be greater than negative zero (`-0.0f`).
    This ensures that the natural ordering of `Float` objects imposed by this method is consistent with equals; see this discussion for details of floating-point comparison and ordering.
    Specified by:
      `compareTo` in interface `Comparable<Float>`
    Parameters:
      `anotherFloat` - the `Float` to be compared.
    Returns:
      the value `0` if `anotherFloat` is numerically equal to this `Float`; a value less than `0` if this `Float` is numerically less than `anotherFloat`; and a value greater than `0` if this `Float` is numerically greater than `anotherFloat`.
    See Java Language Specification:
      15.20.1 Numerical Comparison Operators `<`, `<=`, `>`, and `>=`
    Since:
      1.2

  - ### compare

    public static int compare(float f1, float f2)
    Compares the two specified `float` values. The sign of the integer value returned is the same as that of the integer that would be returned by the call:

           Float.valueOf(f1).compareTo(Float.valueOf(f2))

    Parameters:
      `f1` - the first `float` to compare.
      `f2` - the second `float` to compare.
    Returns:
      the value `0` if `f1` is numerically equal to `f2`; a value less than `0` if `f1` is numerically less than `f2`; and a value greater than `0` if `f1` is numerically greater than `f2`.
    Since:
      1.4

  - ### sum

    public static float sum(float a, float b)
    Adds two `float` values together as per the + operator.
    API Note:
      This method corresponds to the addition operation defined in IEEE 754.
    Parameters:
      `a` - the first operand
      `b` - the second operand
    Returns:
      the sum of `a` and `b`
    See Java Language Specification:
      4.2.4 Floating-Point Operations
    Since:
      1.8
    See Also:
      - `BinaryOperator`

  - ### max

    public static float max(float a, float b)
    Returns the greater of two `float` values as if by calling `Math.max`.
    API Note:
      This method corresponds to the maximum operation defined in IEEE 754.
    Parameters:
      `a` - the first operand
      `b` - the second operand
    Returns:
      the greater of `a` and `b`
    Since:
      1.8
    See Also:
      - `BinaryOperator`

  - ### min

    public static float min(float a, float b)
    Returns the smaller of two `float` values as if by calling `Math.min`.
    API Note:
      This method corresponds to the minimum operation defined in IEEE 754.
    Parameters:
      `a` - the first operand
      `b` - the second operand
    Returns:
      the smaller of `a` and `b`
    Since:
      1.8
    See Also:
      - `BinaryOperator`

  - ### describeConstable

    public Optional<Float> describeConstable()
    Returns an `Optional` containing the nominal descriptor for this instance, which is the instance itself.
    Specified by:
      `describeConstable` in interface `Constable`
    Returns:
      an `Optional` describing the Float instance
    Since:
      12

  - ### resolveConstantDesc

    public Float resolveConstantDesc(MethodHandles.Lookup lookup)
    Resolves this instance as a `ConstantDesc`, the result of which is the instance itself.
    Specified by:
      `resolveConstantDesc` in interface `ConstantDesc`
    Parameters:
      `lookup` - ignored
    Returns:
      the Float instance
    Since:
      12