java.lang.Object
- java.lang.Number
- - org.apfloat.Apcomplex

All Implemented Interfaces:

java.io.Serializable, java.util.Formattable

Direct Known Subclasses:

Apfloat
```
public class Apcomplex
extends java.lang.Number
implements java.util.Formattable, java.io.Serializable
```
Arbitrary precision complex number class. An apcomplex consists of a real and imaginary part of type Apfloat.
Note that although the Apcomplex class extends Number, the methods inherited from Number return the value of the real part of the complex number. Thus they are more meaningful for the Apfloat class and its subclasses.

Version:

1.13.0

See Also:

Apfloat, ApcomplexMath, Serialized Form

Field Summary

Fields
Modifier and Type	Field	Description
`static long`	`DEFAULT`	Default precision.
`(package private) static int`	`EXTRA_PRECISION`	Extra precision that is added in various apfloat internal operations to avoid round-off errors.
`static Apcomplex`	`I`	Imaginary unit.
`private Apfloat`	`imag`
`static long`	`INFINITE`	Infinite precision or scale.
`static Apint`	`ONE`	Constant for one.
`(package private) static Apint[]`	`ONES`
`private Apfloat`	`real`
`static java.util.Comparator<Apcomplex>`	`REAL_ABS_IMAG_ORDER`	Comparator for ordering by real part, and in case of a tie, by the absolute value of the imaginary part.
`static java.util.Comparator<Apcomplex>`	`REAL_IMAG_ORDER`	Comparator for ordering by real part, and in case of a tie, by imaginary part.
`private static long`	`serialVersionUID`
`static Apint`	`ZERO`	Constant for zero.
`(package private) static Apint[]`	`ZEROS`

Constructor Summary

Constructors
Modifier	Constructor	Description
`protected`	`Apcomplex()`	Default constructor.
	`Apcomplex(java.io.PushbackReader in)`	Reads an apcomplex from a reader.
	`Apcomplex(java.lang.String value)`	Constructs an apcomplex from a string.
	`Apcomplex(Apfloat real)`	Construct a real apcomplex whose imaginary part is zero.
	`Apcomplex(Apfloat real, Apfloat imag)`	Construct an apcomplex with the specified real and imaginary part.

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`Apcomplex`	`add(Apcomplex z)`	Adds two apcomplex numbers.
`byte`	`byteValue()`	Returns the value of the this number as a `byte`.
`byte`	`byteValueExact()`	Returns the value of the this number as a `byte`, checking for lost information.
`Apcomplex`	`conj()`	Returns the complex conjugate of this apcomplex.
`Apcomplex`	`divide(Apcomplex z)`	Divides two apcomplex numbers.
`double`	`doubleValue()`	Returns the value of the this number as a `double`.
`long`	`equalDigits(Apcomplex z)`	Computes number of equal digits.
`boolean`	`equals(java.lang.Object obj)`	Compares this object to the specified object.
`float`	`floatValue()`	Returns the value of the this number as a `float`.
`void`	`formatTo(java.util.Formatter formatter, int flags, int width, int precision)`	Formats the object using the provided formatter.
`int`	`hashCode()`	Returns a hash code for this apcomplex.
`Apfloat`	`imag()`	Returns the imaginary part of this apcomplex.
`int`	`intValue()`	Returns the value of the this number as an `int`.
`int`	`intValueExact()`	Returns the value of the this number as an `int`, checking for lost information.
`boolean`	`isInteger()`	Returns if this number has an integer value.
`boolean`	`isZero()`	Returns if this number is zero.
`long`	`longValue()`	Returns the value of the this number as a `long`.
`long`	`longValueExact()`	Returns the value of the this number as a `long`, checking for lost information.
`Apcomplex`	`multiply(Apcomplex z)`	Multiplies two apcomplex numbers.
`Apcomplex`	`negate()`	Negative value.
`long`	`precision()`	Returns the precision of this apcomplex.
`Apcomplex`	`precision(long precision)`	Returns an apcomplex with the same value as this apcomplex accurate to the specified precision.
`int`	`radix()`	Radix of this apcomplex.
`Apfloat`	`real()`	Returns the real part of this apcomplex.
`long`	`scale()`	Returns the scale of this apcomplex.
`short`	`shortValue()`	Returns the value of the this number as a `short`.
`short`	`shortValueExact()`	Returns the value of the this number as a `short`, checking for lost information.
`long`	`size()`	Returns the size of this apcomplex.
`Apcomplex`	`subtract(Apcomplex z)`	Subtracts two apcomplex numbers.
`boolean`	`test(Apcomplex z)`	Tests two apcomplex numbers for equality.
`Apcomplex`	`toRadix(int radix)`	Convert this apcomplex to the specified radix.
`java.lang.String`	`toString()`	Returns a string representation of this apcomplex.
`java.lang.String`	`toString(boolean pretty)`	Returns a string representation of this apcomplex.
`void`	`writeTo(java.io.Writer out)`	Write a string representation of this apcomplex to a `Writer`.
`void`	`writeTo(java.io.Writer out, boolean pretty)`	Write a string representation of this apcomplex to a `Writer`.

Methods inherited from class java.lang.Object
clone, finalize, getClass, notify, notifyAll, wait, wait, wait

- Field Detail
  - ZERO
```
public static final Apint ZERO
```
    Constant for zero. It is safe to use ZERO in all addition, subtraction, multiplication, division and comparison operations regardless of the radix used.
  - ONE
```
public static final Apint ONE
```
    Constant for one. Note that this number is created using the initial default radix. It is safe to use ONE in all multiplication, division and equality comparison operations regardless of the radix used. However, in subtraction and addition it only works with numbers in the same radix.
  - I
```
public static final Apcomplex I
```
    Imaginary unit. That is, Apcomplex(ZERO, ONE). It is safe to use I in all multiplication, division and equality comparison operations regardless of the radix used. In addition and subtraction it only works with numbers in the same radix.
  - INFINITE
```
public static final long INFINITE
```
    Infinite precision or scale. Can be used as the precision argument when constructing apfloats.
    
    See Also:
    
    Constant Field Values
  - DEFAULT
```
public static final long DEFAULT
```
    Default precision. Can be used as an argument when constructing apfloats.
    
    See Also:
    
    Constant Field Values
  - REAL_IMAG_ORDER
```
public static final java.util.Comparator<Apcomplex> REAL_IMAG_ORDER
```
    Comparator for ordering by real part, and in case of a tie, by imaginary part.
  - REAL_ABS_IMAG_ORDER
```
public static final java.util.Comparator<Apcomplex> REAL_ABS_IMAG_ORDER
```
    Comparator for ordering by real part, and in case of a tie, by the absolute value of the imaginary part. If a tie persists, order by imaginary part.
  - EXTRA_PRECISION
```
static final int EXTRA_PRECISION
```
    Extra precision that is added in various apfloat internal operations to avoid round-off errors.
    
    See Also:
    
    Constant Field Values
  - ZEROS
```
static final Apint[] ZEROS
```
  - ONES
```
static final Apint[] ONES
```
  - serialVersionUID
```
private static final long serialVersionUID
```
    See Also:
    
    Constant Field Values
  - real
```
private Apfloat real
```
  - imag
```
private Apfloat imag
```
- Constructor Detail
  - Apcomplex
```
protected Apcomplex()
```
    Default constructor. To be used only by subclasses that overload all needed methods.
  - Apcomplex
```
public Apcomplex(Apfloat real)
```
    Construct a real apcomplex whose imaginary part is zero.
    
    Parameters:
    
    real - The real part of the number.
  - Apcomplex
```
public Apcomplex(Apfloat real,
                 Apfloat imag)
          throws java.lang.IllegalArgumentException
```
    Construct an apcomplex with the specified real and imaginary part.
    
    Parameters:
    
    real - The real part of the number.
    
    imag - The imaginary part of the number.
    
    Throws:
    
    java.lang.IllegalArgumentException - If the real part and imaginary part are not zero but have different radixes.
  - Apcomplex
```
public Apcomplex(java.lang.String value)
          throws java.lang.NumberFormatException,
                 ApfloatRuntimeException
```
    Constructs an apcomplex from a string.
    The input must be of one of the formats
    realPart
    "(" [whitespace] realPart [whitespace] ")"
    "(" [whitespace] realPart [whitespace] "," [whitespace] imaginaryPart [whitespace] ")"
    
    Parameters:
    
    value - The input string.
    
    Throws:
    
    java.lang.NumberFormatException - If the number is invalid.
    
    ApfloatRuntimeException
  - Apcomplex
```
public Apcomplex(java.io.PushbackReader in)
          throws java.io.IOException,
                 java.lang.NumberFormatException,
                 ApfloatRuntimeException
```
    Reads an apcomplex from a reader. The constructor stops reading at the first character it doesn't understand. The reader must thus be a PushbackReader so that the invalid character can be returned back to the stream.
    The input must be of one of the formats
    realPart
    "(" [whitespace] realPart [whitespace] ")"
    "(" [whitespace] realPart [whitespace] "," [whitespace] imaginaryPart [whitespace] ")"
    
    Parameters:
    
    in - The input stream.
    
    Throws:
    
    java.io.IOException - In case of I/O error reading from the stream.
    
    java.lang.NumberFormatException - If the number is invalid.
    
    ApfloatRuntimeException
- Method Detail
  - radix
```
public int radix()
```
    Radix of this apcomplex.
    
    Returns:
    
    Radix of this apcomplex.
  - real
```
public Apfloat real()
```
    Returns the real part of this apcomplex.
    
    Returns:
    
    The real part of this apcomplex.
  - imag
```
public Apfloat imag()
```
    Returns the imaginary part of this apcomplex.
    
    Returns:
    
    The imaginary part of this apcomplex.
  - conj
```
public Apcomplex conj()
               throws ApfloatRuntimeException
```
    Returns the complex conjugate of this apcomplex.
    
    Returns:
    
    x - i y, where this apcomplex is x + i y.
    
    Throws:
    
    ApfloatRuntimeException
  - precision
```
public long precision()
               throws ApfloatRuntimeException
```
    Returns the precision of this apcomplex.
    
    Returns:
    
    The precision of this apcomplex in number of digits of the radix in which it's presented.
    
    Throws:
    
    ApfloatRuntimeException
  - precision
```
public Apcomplex precision(long precision)
                    throws java.lang.IllegalArgumentException,
                           ApfloatRuntimeException
```
    Returns an apcomplex with the same value as this apcomplex accurate to the specified precision.
    If the requested precision less than this number's current precision, the functionality is quite obvious: the precision is simply truncated, and e.g. comparison and equality checking will work as expected. Some rounding errors in e.g. addition and subtraction may still occur, as "invisible" trailing digits can remain in the number.
    If the requested precision more than this number's current precision, the functionality is quite undefined: the digits up to this number's current precision are guaranteed to be the same, but the "new" digits are undefined: they may be zero, or they may be digits that have been previously discarded with a call to precision() with a smaller number of digits, or they may be something else, or any combination of these.
    These limitations allow various performance optimizations to be made.
    
    Parameters:
    
    precision - Precision of the new apcomplex.
    
    Returns:
    
    An apcomplex with the specified precision and same value as this apcomplex.
    
    Throws:
    
    java.lang.IllegalArgumentException - If precision is <= 0.
    
    ApfloatRuntimeException
    
    Since:
    
    1.2
  - scale
```
public long scale()
           throws ApfloatRuntimeException
```
    Returns the scale of this apcomplex. The scale is the maximum of the scale of the real part and imaginary part.
    Zero has a scale of -INFINITE.
    
    Returns:
    
    The exponent of this apcomplex in number of digits of the radix in which it's presented.
    
    Throws:
    
    ApfloatRuntimeException
    
    See Also:
    
    Apfloat.scale()
  - size
```
public long size()
          throws ApfloatRuntimeException
```
    Returns the size of this apcomplex. The size is the maximum of the size of the real part and imaginary part.
    Zero has a size of 0.
    
    Returns:
    
    The number of digits in this number, from the most significant digit to the least significant nonzero digit, in the radix in which it's presented.
    
    Throws:
    
    ApfloatRuntimeException
    
    Since:
    
    1.6
    
    See Also:
    
    Apfloat.size()
  - isZero
```
public boolean isZero()
               throws ApfloatRuntimeException
```
    Returns if this number is zero.
    
    Returns:
    
    If this number is zero.
    
    Throws:
    
    ApfloatRuntimeException
    
    Since:
    
    1.13.0
  - isInteger
```
public boolean isInteger()
                  throws ApfloatRuntimeException
```
    Returns if this number has an integer value. Note that this does not necessarily mean that this object is an instance of Apint. Neither does it mean that the precision is infinite.
    A complex number needs to have a zero imaginary part to be an integer.
    
    Returns:
    
    If this number's value is an integer.
    
    Throws:
    
    ApfloatRuntimeException
    
    Since:
    
    1.9.0
  - negate
```
public Apcomplex negate()
                 throws ApfloatRuntimeException
```
    Negative value.
    
    Returns:
    
    -this.
    
    Throws:
    
    ApfloatRuntimeException
    
    Since:
    
    1.1
  - add
```
public Apcomplex add(Apcomplex z)
              throws ApfloatRuntimeException
```
    Adds two apcomplex numbers.
    
    Parameters:
    
    z - The number to be added to this number.
    
    Returns:
    
    this + z.
    
    Throws:
    
    ApfloatRuntimeException
  - subtract
```
public Apcomplex subtract(Apcomplex z)
                   throws ApfloatRuntimeException
```
    Subtracts two apcomplex numbers.
    
    Parameters:
    
    z - The number to be subtracted from this number.
    
    Returns:
    
    this - z.
    
    Throws:
    
    ApfloatRuntimeException
  - multiply
```
public Apcomplex multiply(Apcomplex z)
                   throws ApfloatRuntimeException
```
    Multiplies two apcomplex numbers.
    
    Parameters:
    
    z - The number to be multiplied by this number.
    
    Returns:
    
    this * z.
    
    Throws:
    
    ApfloatRuntimeException
  - divide
```
public Apcomplex divide(Apcomplex z)
                 throws java.lang.ArithmeticException,
                        ApfloatRuntimeException
```
    Divides two apcomplex numbers.
    
    Parameters:
    
    z - The number by which this number is to be divided.
    
    Returns:
    
    this / z.
    
    Throws:
    
    java.lang.ArithmeticException - In case the divisor is zero.
    
    ApfloatRuntimeException
  - doubleValue
```
public double doubleValue()
```
    Returns the value of the this number as a double. Only takes the real part of this number.
    
    Specified by:
    
    doubleValue in class java.lang.Number
    
    Returns:
    
    The numeric value represented by this object after conversion to type double.
    
    See Also:
    
    Apfloat.doubleValue()
  - floatValue
```
public float floatValue()
```
    Returns the value of the this number as a float. Only takes the real part of this number.
    
    Specified by:
    
    floatValue in class java.lang.Number
    
    Returns:
    
    The numeric value represented by this object after conversion to type float.
    
    See Also:
    
    Apfloat.floatValue()
  - byteValue
```
public byte byteValue()
```
    Returns the value of the this number as a byte. Only takes the real part of this number.
    
    Overrides:
    
    byteValue in class java.lang.Number
    
    Returns:
    
    The numeric value represented by this object after conversion to type byte.
    
    See Also:
    
    Apfloat.byteValue()
  - shortValue
```
public short shortValue()
```
    Returns the value of the this number as a short. Only takes the real part of this number.
    
    Overrides:
    
    shortValue in class java.lang.Number
    
    Returns:
    
    The numeric value represented by this object after conversion to type short.
    
    See Also:
    
    Apfloat.shortValue()
  - intValue
```
public int intValue()
```
    Returns the value of the this number as an int. Only takes the real part of this number.
    
    Specified by:
    
    intValue in class java.lang.Number
    
    Returns:
    
    The numeric value represented by this object after conversion to type int.
    
    See Also:
    
    Apfloat.intValue()
  - longValue
```
public long longValue()
```
    Returns the value of the this number as a long. Only takes the real part of this number.
    
    Specified by:
    
    longValue in class java.lang.Number
    
    Returns:
    
    The numeric value represented by this object after conversion to type long.
    
    See Also:
    
    Apfloat.longValue()
  - byteValueExact
```
public byte byteValueExact()
                    throws java.lang.ArithmeticException
```
    Returns the value of the this number as a byte, checking for lost information. If the value of this number is out of the range of the byte type, then an ArithmeticException is thrown.
    
    Returns:
    
    The numeric value represented by this object after conversion to type byte.
    
    Throws:
    
    java.lang.ArithmeticException - If the value of this will not exactly fit in a byte or has a nonzero fractional part.
    
    Since:
    
    1.9.0
  - shortValueExact
```
public short shortValueExact()
                      throws java.lang.ArithmeticException
```
    Returns the value of the this number as a short, checking for lost information. If the value of this number is out of the range of the short type, then an ArithmeticException is thrown.
    
    Returns:
    
    The numeric value represented by this object after conversion to type short or has a nonzero fractional part.
    
    Throws:
    
    java.lang.ArithmeticException - If the value of this will not exactly fit in a short.
    
    Since:
    
    1.9.0
  - intValueExact
```
public int intValueExact()
                  throws java.lang.ArithmeticException
```
    Returns the value of the this number as an int, checking for lost information. If the value of this number is out of the range of the int type, then an ArithmeticException is thrown.
    
    Returns:
    
    The numeric value represented by this object after conversion to type int.
    
    Throws:
    
    java.lang.ArithmeticException - If the value of this will not exactly fit in an int or has a nonzero fractional part.
    
    Since:
    
    1.9.0
  - longValueExact
```
public long longValueExact()
                    throws java.lang.ArithmeticException
```
    Returns the value of the this number as a long, checking for lost information. If the value of this number is out of the range of the long type, then an ArithmeticException is thrown.
    
    Returns:
    
    The numeric value represented by this object after conversion to type long.
    
    Throws:
    
    java.lang.ArithmeticException - If the value of this will not exactly fit in a long or has a nonzero fractional part.
    
    Since:
    
    1.9.0
  - equalDigits
```
public long equalDigits(Apcomplex z)
                 throws ApfloatRuntimeException
```
    Computes number of equal digits.
    Compares the digits of the numbers starting from the most significant digits. The exponent and sign are taken into consideration, so if either one doesn't match, the numbers are considered to have zero equal digits.
    For example, the numbers (12345, 123) and (123456, 12) have zero matching digits, and the numbers (12345, 12) and (12355, 13) have three matching digits.
    
    Parameters:
    
    z - Number to compare with.
    
    Returns:
    
    Number of matching digits in the radix in which the numbers are presented.
    
    Throws:
    
    ApfloatRuntimeException
  - toRadix
```
public Apcomplex toRadix(int radix)
                  throws java.lang.NumberFormatException,
                         ApfloatRuntimeException
```
    Convert this apcomplex to the specified radix.
    
    Parameters:
    
    radix - The radix.
    
    Returns:
    
    This number in the specified radix.
    
    Throws:
    
    java.lang.NumberFormatException - If the radix is invalid.
    
    ApfloatRuntimeException
    
    Since:
    
    1.2
  - equals
```
public boolean equals(java.lang.Object obj)
```
    Compares this object to the specified object.
    Note: two apfloats are considered equal if they have an identical mantissa, but different precision.
    
    Overrides:
    
    equals in class java.lang.Object
    
    Parameters:
    
    obj - The object to compare with.
    
    Returns:
    
    true if the objects are equal; false otherwise.
  - test
```
public boolean test(Apcomplex z)
             throws ApfloatRuntimeException
```
    Tests two apcomplex numbers for equality. Returns false if the numbers are definitely known to be not equal. If true is returned, equality is unknown and should be verified by calling equals(Object). This method is usually significantly faster than calling equals(Object).
    
    Parameters:
    
    z - The number to test against.
    
    Returns:
    
    false if the numbers are definitely not equal, true if unknown.
    
    Throws:
    
    ApfloatRuntimeException
    
    Since:
    
    1.10.0
  - hashCode
```
public int hashCode()
```
    Returns a hash code for this apcomplex.
    
    Overrides:
    
    hashCode in class java.lang.Object
    
    Returns:
    
    The hash code value for this object.
  - toString
```
public java.lang.String toString()
```
    Returns a string representation of this apcomplex.
    
    Overrides:
    
    toString in class java.lang.Object
    
    Returns:
    
    A string representing this object.
  - toString
```
public java.lang.String toString(boolean pretty)
                          throws ApfloatRuntimeException
```
    Returns a string representation of this apcomplex.
    
    Parameters:
    
    pretty - true to use a fixed-point notation, false to use an exponential notation.
    
    Returns:
    
    A string representing this object.
    
    Throws:
    
    ApfloatRuntimeException
  - writeTo
```
public void writeTo(java.io.Writer out)
             throws java.io.IOException,
                    ApfloatRuntimeException
```
    Write a string representation of this apcomplex to a Writer.
    
    Parameters:
    
    out - The output Writer.
    
    Throws:
    
    java.io.IOException - In case of I/O error writing to the stream.
    
    ApfloatRuntimeException
  - writeTo
```
public void writeTo(java.io.Writer out,
                    boolean pretty)
             throws java.io.IOException,
                    ApfloatRuntimeException
```
    Write a string representation of this apcomplex to a Writer.
    
    Parameters:
    
    out - The output Writer.
    
    pretty - true to use a fixed-point notation, false to use an exponential notation.
    
    Throws:
    
    java.io.IOException - In case of I/O error writing to the stream.
    
    ApfloatRuntimeException
  - formatTo
```
public void formatTo(java.util.Formatter formatter,
                     int flags,
                     int width,
                     int precision)
```
    Formats the object using the provided formatter.
    
    Specified by:
    
    formatTo in interface java.util.Formattable
    
    Parameters:
    
    formatter - The formatter.
    
    flags - The flags to modify the output format.
    
    width - The minimum number of characters to be written to the output, or -1 for no minimum.
    
    precision - The maximum number of characters to be written to the output, or -1 for no maximum.
    
    Since:
    
    1.3
    
    See Also:
    
    Apfloat.formatTo(Formatter,int,int,int)

Class Apcomplex

Field Summary

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Field Detail

ZERO

ONE

I

INFINITE

DEFAULT

REAL_IMAG_ORDER

REAL_ABS_IMAG_ORDER

EXTRA_PRECISION

ZEROS

ONES

serialVersionUID

real

imag

Constructor Detail

Apcomplex

Apcomplex

Apcomplex

Apcomplex

Apcomplex

Method Detail

radix

real

imag

conj

precision

precision

scale

size

isZero

isInteger

negate

add

subtract

multiply

divide

doubleValue

floatValue

byteValue

shortValue

intValue

longValue

byteValueExact

shortValueExact

intValueExact

longValueExact

equalDigits

toRadix

equals

test

hashCode

toString

toString

writeTo

writeTo

formatTo