java.lang.Object
- gov.nasa.worldwind.geom.Angle

All Implemented Interfaces:

java.lang.Comparable<Angle>
```
public class Angle
extends java.lang.Object
implements java.lang.Comparable<Angle>
```
Represents a geometric angle. Instances of Angle are immutable. An angle can be obtained through the factory methods fromDegrees(double) and fromRadians(double).

Field Summary

Fields
Modifier and Type	Field	Description
`static java.lang.String`	`ANGLE_FORMAT_DD`
`static java.lang.String`	`ANGLE_FORMAT_DM`
`static java.lang.String`	`ANGLE_FORMAT_DMS`
`double`	`degrees`
`static Angle`	`MINUTE`	Represents an angle of 1 minute
`static Angle`	`NEG180`	Represents an angle of negative 180 degrees
`static Angle`	`NEG360`	Represents an angle of negative 360 degrees
`static Angle`	`NEG90`	Represents a right angle of negative 90 degrees
`static Angle`	`POS180`	Represents an angle of positive 180 degrees
`static Angle`	`POS360`	Represents an angle of positive 360 degrees
`static Angle`	`POS90`	Represents a right angle of positive 90 degrees
`double`	`radians`
`static Angle`	`SECOND`	Represents an angle of 1 second
`static Angle`	`ZERO`	Represents an angle of zero degrees

Constructor Summary

Constructors
Constructor Description

Angle(Angle angle)

Method Summary

All Methods Static Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`static Angle`	`acos(double cosine)`
`Angle`	`add(Angle angle)`	Obtains the sum of these two angles.
`Angle`	`addDegrees(double degrees)`
`Angle`	`addRadians(double radians)`
`Angle`	`angularDistanceTo(Angle angle)`	Computes the shortest distance between this and angle, as an angle.
`static double`	`arctanh(double radians)`
`static Angle`	`asin(double sine)`
`static Angle`	`atan(double tan)`
`static Angle`	`average(Angle a, Angle b)`	Obtains the average of three angles.
`static Angle`	`average(Angle a, Angle b, Angle c)`	Obtains the average of three angles.
`static Angle`	`clamp(Angle value, Angle min, Angle max)`	Limits a specified angle to be within a specified minimum and maximum.
`int`	`compareTo(Angle angle)`	Compares this `Angle` with another.
`double`	`cos()`	Obtains the cosine of this angle.
`double`	`cosHalfAngle()`
`static boolean`	`crossesLongitudeBoundary(Angle angleA, Angle angleB)`
`Angle`	`divide(double divisor)`	Divides this angle by `divisor`.
`double`	`divide(Angle angle)`	Divides this angle by another angle.
`boolean`	`equals(java.lang.Object o)`
`static Angle`	`fromDegrees(double degrees)`	Obtains an angle from a specified number of degrees.
`static Angle`	`fromDegreesLatitude(double degrees)`
`static Angle`	`fromDegreesLongitude(double degrees)`
`static Angle`	`fromDMdS(int degrees, double minutes)`	Obtain an angle from a given number of positive degrees and decimal minutes.
`static Angle`	`fromDMS(int degrees, int minutes, int seconds)`	Obtain an angle from a given number of positive degrees, minutes and seconds.
`static Angle`	`fromDMS(java.lang.String dmsString)`	Obtain an angle from a degrees, minute and seconds character string.
`static Angle`	`fromRadians(double radians)`	Obtains an angle from a specified number of radians.
`static Angle`	`fromRadiansLatitude(double radians)`
`static Angle`	`fromRadiansLongitude(double radians)`
`static Angle`	`fromXY(double x, double y)`	Obtains an angle from rectangular coordinates.
`double`	`getDegrees()`	Retrieves the size of this angle in degrees.
`double`	`getRadians()`	Retrieves the size of this angle in radians.
`long`	`getSizeInBytes()`	Obtains the amount of memory this `Angle` consumes.
`int`	`hashCode()`
`static boolean`	`isValidLatitude(double value)`
`static boolean`	`isValidLongitude(double value)`
`static Angle`	`max(Angle a, Angle b)`
`static Angle`	`midAngle(Angle a1, Angle a2)`	Obtains the average of two angles.
`static Angle`	`min(Angle a, Angle b)`
`static Angle`	`mix(double amount, Angle value1, Angle value2)`	Linearly interpolates between two angles.
`Angle`	`multiply(double multiplier)`	Multiplies this angle by `multiplier`.
`Angle`	`normalize()`
`static Angle`	`normalizedAngle(Angle unnormalizedAngle)`
`static double`	`normalizedDegrees(double degrees)`
`static double`	`normalizedDegreesLatitude(double degrees)`
`static double`	`normalizedDegreesLongitude(double degrees)`
`Angle`	`normalizedLatitude()`
`static Angle`	`normalizedLatitude(Angle unnormalizedAngle)`
`Angle`	`normalizedLongitude()`
`static Angle`	`normalizedLongitude(Angle unnormalizedAngle)`
`double`	`sin()`	Obtains the sine of this angle.
`double`	`sinHalfAngle()`
`Angle`	`subtract(Angle angle)`	Obtains the difference of these two angles.
`Angle`	`subtractDegrees(double degrees)`
`Angle`	`subtractRadians(double radians)`
`double`	`tanHalfAngle()`	Obtains the tangent of half of this angle.
`java.lang.String`	`toDecimalDegreesString(int digits)`	Forms a decimal degrees `String` representation of this `Angle`.
`double[]`	`toDMS()`
`java.lang.String`	`toDMSString()`	Obtains a `String` representation of this `Angle` formatted as degrees, minutes and seconds integer values.
`java.lang.String`	`toDMString()`	Obtains a `String` representation of this `Angle` formatted as degrees and decimal minutes.
`java.lang.String`	`toFormattedDMSString()`
`java.lang.String`	`toString()`	Obtains a `String` representation of this angle.

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

- Field Detail
  - ANGLE_FORMAT_DD
```
public static final java.lang.String ANGLE_FORMAT_DD
```
    See Also:
    
    Constant Field Values
  - ANGLE_FORMAT_DM
```
public static final java.lang.String ANGLE_FORMAT_DM
```
    See Also:
    
    Constant Field Values
  - ANGLE_FORMAT_DMS
```
public static final java.lang.String ANGLE_FORMAT_DMS
```
    See Also:
    
    Constant Field Values
  - ZERO
```
public static final Angle ZERO
```
    Represents an angle of zero degrees
  - POS90
```
public static final Angle POS90
```
    Represents a right angle of positive 90 degrees
  - NEG90
```
public static final Angle NEG90
```
    Represents a right angle of negative 90 degrees
  - POS180
```
public static final Angle POS180
```
    Represents an angle of positive 180 degrees
  - NEG180
```
public static final Angle NEG180
```
    Represents an angle of negative 180 degrees
  - POS360
```
public static final Angle POS360
```
    Represents an angle of positive 360 degrees
  - NEG360
```
public static final Angle NEG360
```
    Represents an angle of negative 360 degrees
  - MINUTE
```
public static final Angle MINUTE
```
    Represents an angle of 1 minute
  - SECOND
```
public static final Angle SECOND
```
    Represents an angle of 1 second
  - degrees
```
public final double degrees
```
  - radians
```
public final double radians
```
- Constructor Detail
  - Angle
```
public Angle(Angle angle)
```
- Method Detail
  - fromDegrees
```
public static Angle fromDegrees(double degrees)
```
    Obtains an angle from a specified number of degrees.
    
    Parameters:
    
    degrees - the size in degrees of the angle to be obtained
    
    Returns:
    
    a new angle, whose size in degrees is given by degrees
  - fromRadians
```
public static Angle fromRadians(double radians)
```
    Obtains an angle from a specified number of radians.
    
    Parameters:
    
    radians - the size in radians of the angle to be obtained.
    
    Returns:
    
    a new angle, whose size in radians is given by radians.
  - fromDegreesLatitude
```
public static Angle fromDegreesLatitude(double degrees)
```
  - fromRadiansLatitude
```
public static Angle fromRadiansLatitude(double radians)
```
  - fromDegreesLongitude
```
public static Angle fromDegreesLongitude(double degrees)
```
  - fromRadiansLongitude
```
public static Angle fromRadiansLongitude(double radians)
```
  - fromXY
```
public static Angle fromXY(double x,
                           double y)
```
    Obtains an angle from rectangular coordinates.
    
    Parameters:
    
    x - the abscissa coordinate.
    
    y - the ordinate coordinate.
    
    Returns:
    
    a new angle, whose size is determined from x and y.
  - fromDMS
```
public static Angle fromDMS(int degrees,
                            int minutes,
                            int seconds)
```
    Obtain an angle from a given number of positive degrees, minutes and seconds.
    
    Parameters:
    
    degrees - integer number of degrees, positive.
    
    minutes - integer number of minutes, positive only between 0 and 60.
    
    seconds - integer number of seconds, positive only between 0 and 60.
    
    Returns:
    
    a new angle whose size in degrees is given by degrees, minutes and seconds.
    
    Throws:
    
    java.lang.IllegalArgumentException - if minutes or seconds are outside the 0-60 range or the degrees is negative.
  - fromDMdS
```
public static Angle fromDMdS(int degrees,
                             double minutes)
```
    Obtain an angle from a given number of positive degrees and decimal minutes.
    
    Parameters:
    
    degrees - integer number of degrees, positive.
    
    minutes - double representing the decimal representation of minutes and seconds.
    
    Returns:
    
    a new angle whose size in degrees is given by degrees and decimal minutes.
    
    Throws:
    
    java.lang.IllegalArgumentException - if minutes or seconds are outside the 0-60 range or the degrees is negative.
  - fromDMS
```
public static Angle fromDMS(java.lang.String dmsString)
```
    Obtain an angle from a degrees, minute and seconds character string.
    eg:
    123 34 42 -123* 34' 42" (where * stands for the degree symbol) +45* 12' 30" (where * stands for the degree symbol) 45 12 30 S 45 12 30 N
    For a string containing both a sign and compass direction, the compass direction will take precedence.
    Parameters:
    
    dmsString - the degrees, minute and second character string.
    
    Returns:
    
    the corresponding angle.
    
    Throws:
    
    java.lang.IllegalArgumentException - if dmsString is null or not properly formated.
  - getDegrees
```
public final double getDegrees()
```
    Retrieves the size of this angle in degrees. This method may be faster than first obtaining the radians and then converting to degrees.
    
    Returns:
    
    the size of this angle in degrees.
  - getRadians
```
public final double getRadians()
```
    Retrieves the size of this angle in radians. This may be useful for java.lang.Math functions, which generally take radians as trigonometric arguments. This method may be faster that first obtaining the degrees and then converting to radians.
    
    Returns:
    
    the size of this angle in radians.
  - add
```
public final Angle add(Angle angle)
```
    Obtains the sum of these two angles. Does not accept a null argument. This method is commutative, so a.add(b) and b.add(a) are equivalent. Neither this angle nor angle is changed, instead the result is returned as a new angle.
    
    Parameters:
    
    angle - the angle to add to this one.
    
    Returns:
    
    an angle whose size is the total of this angles and angles size.
    
    Throws:
    
    java.lang.IllegalArgumentException - if angle is null.
  - subtract
```
public final Angle subtract(Angle angle)
```
    Obtains the difference of these two angles. Does not accept a null argument. This method is not commutative. Neither this angle nor angle is changed, instead the result is returned as a new angle.
    
    Parameters:
    
    angle - the angle to subtract from this angle.
    
    Returns:
    
    a new angle corresponding to this angle's size minus angle's size.
    
    Throws:
    
    java.lang.IllegalArgumentException - if angle is null.
  - multiply
```
public final Angle multiply(double multiplier)
```
    Multiplies this angle by multiplier. This angle remains unchanged. The result is returned as a new angle.
    
    Parameters:
    
    multiplier - a scalar by which this angle is multiplied.
    
    Returns:
    
    a new angle whose size equals this angle's size multiplied by multiplier.
  - divide
```
public final double divide(Angle angle)
```
    Divides this angle by another angle. This angle remains unchanged, instead the resulting value in degrees is returned.
    
    Parameters:
    
    angle - the angle by which to divide.
    
    Returns:
    
    this angle's degrees divided by angle's degrees.
    
    Throws:
    
    java.lang.IllegalArgumentException - if angle is null.
  - addDegrees
```
public final Angle addDegrees(double degrees)
```
  - subtractDegrees
```
public final Angle subtractDegrees(double degrees)
```
  - divide
```
public final Angle divide(double divisor)
```
    Divides this angle by divisor. This angle remains unchanged. The result is returned as a new angle. Behaviour is undefined if divisor equals zero.
    
    Parameters:
    
    divisor - the number to be divided by.
    
    Returns:
    
    a new angle equivalent to this angle divided by divisor.
  - addRadians
```
public final Angle addRadians(double radians)
```
  - subtractRadians
```
public final Angle subtractRadians(double radians)
```
  - angularDistanceTo
```
public Angle angularDistanceTo(Angle angle)
```
    Computes the shortest distance between this and angle, as an angle.
    
    Parameters:
    
    angle - the angle to measure angular distance to.
    
    Returns:
    
    the angular distance between this and value.
  - sin
```
public final double sin()
```
    Obtains the sine of this angle.
    
    Returns:
    
    the trigonometric sine of this angle.
  - sinHalfAngle
```
public final double sinHalfAngle()
```
  - asin
```
public static Angle asin(double sine)
```
  - arctanh
```
public static double arctanh(double radians)
```
  - cos
```
public final double cos()
```
    Obtains the cosine of this angle.
    
    Returns:
    
    the trigonometric cosine of this angle.
  - cosHalfAngle
```
public final double cosHalfAngle()
```
  - acos
```
public static Angle acos(double cosine)
```
  - tanHalfAngle
```
public final double tanHalfAngle()
```
    Obtains the tangent of half of this angle.
    
    Returns:
    
    the trigonometric tangent of half of this angle.
  - atan
```
public static Angle atan(double tan)
```
  - midAngle
```
public static Angle midAngle(Angle a1,
                             Angle a2)
```
    Obtains the average of two angles. This method is commutative, so midAngle(m, n) and midAngle(n, m) are equivalent.
    
    Parameters:
    
    a1 - the first angle.
    
    a2 - the second angle.
    
    Returns:
    
    the average of a1 and a2 throws IllegalArgumentException if either angle is null.
  - average
```
public static Angle average(Angle a,
                            Angle b)
```
    Obtains the average of three angles. The order of parameters does not matter.
    
    Parameters:
    
    a - the first angle.
    
    b - the second angle.
    
    Returns:
    
    the average of a1, a2 and a3
    
    Throws:
    
    java.lang.IllegalArgumentException - if a or b is null
  - average
```
public static Angle average(Angle a,
                            Angle b,
                            Angle c)
```
    Obtains the average of three angles. The order of parameters does not matter.
    
    Parameters:
    
    a - the first angle.
    
    b - the second angle.
    
    c - the third angle.
    
    Returns:
    
    the average of a1, a2 and a3.
    
    Throws:
    
    java.lang.IllegalArgumentException - if a, b or c is null.
  - clamp
```
public static Angle clamp(Angle value,
                          Angle min,
                          Angle max)
```
    Limits a specified angle to be within a specified minimum and maximum.
    The returned angle is undefined if min > max. Otherwise, this method's return value is equivalent to the following:
    
    min - If value < min
    
    max - If value > max
    
    value - If min <= value >= max
    Parameters:
    
    value - The angle to clamp.
    
    min - The minimum angle to clamp to.
    
    max - The maximum angle to clamp to.
    
    Returns:
    
    The clamped angle.
    
    Throws:
    
    java.lang.IllegalArgumentException - if any argument is null.
  - mix
```
public static Angle mix(double amount,
                        Angle value1,
                        Angle value2)
```
    Linearly interpolates between two angles.
    
    Parameters:
    
    amount - the interpolant.
    
    value1 - the first angle.
    
    value2 - the second angle.
    
    Returns:
    
    a new angle between value1 and value2.
  - compareTo
```
public final int compareTo(Angle angle)
```
    Compares this Angle with another. Returns a negative integer if this is the smaller angle, a positive integer if this is the larger, and zero if both angles are equal.
    
    Specified by:
    
    compareTo in interface java.lang.Comparable<Angle>
    
    Parameters:
    
    angle - the angle to compare against.
    
    Returns:
    
    -1 if this angle is smaller, 0 if both are equal and +1 if this angle is larger.
    
    Throws:
    
    java.lang.IllegalArgumentException - if angle is null.
  - normalizedDegrees
```
public static double normalizedDegrees(double degrees)
```
  - normalizedDegreesLatitude
```
public static double normalizedDegreesLatitude(double degrees)
```
  - normalizedDegreesLongitude
```
public static double normalizedDegreesLongitude(double degrees)
```
  - normalizedAngle
```
public static Angle normalizedAngle(Angle unnormalizedAngle)
```
  - normalizedLatitude
```
public static Angle normalizedLatitude(Angle unnormalizedAngle)
```
  - normalizedLongitude
```
public static Angle normalizedLongitude(Angle unnormalizedAngle)
```
  - normalize
```
public Angle normalize()
```
  - normalizedLatitude
```
public Angle normalizedLatitude()
```
  - normalizedLongitude
```
public Angle normalizedLongitude()
```
  - crossesLongitudeBoundary
```
public static boolean crossesLongitudeBoundary(Angle angleA,
                                               Angle angleB)
```
  - isValidLatitude
```
public static boolean isValidLatitude(double value)
```
  - isValidLongitude
```
public static boolean isValidLongitude(double value)
```
  - max
```
public static Angle max(Angle a,
                        Angle b)
```
  - min
```
public static Angle min(Angle a,
                        Angle b)
```
  - toString
```
public final java.lang.String toString()
```
    Obtains a String representation of this angle.
    
    Overrides:
    
    toString in class java.lang.Object
    
    Returns:
    
    the value of this angle in degrees and as a String.
  - toDecimalDegreesString
```
public final java.lang.String toDecimalDegreesString(int digits)
```
    Forms a decimal degrees String representation of this Angle.
    
    Parameters:
    
    digits - the number of digits past the decimal point to include in the string.
    
    Returns:
    
    the value of this angle in decimal degrees as a string with the specified number of digits beyond the decimal point. The string is padded with trailing zeros to fill the number of post-decimal point positions requested.
  - toDMSString
```
public final java.lang.String toDMSString()
```
    Obtains a String representation of this Angle formatted as degrees, minutes and seconds integer values.
    
    Returns:
    
    the value of this angle in degrees, minutes, seconds as a string.
  - toDMString
```
public final java.lang.String toDMString()
```
    Obtains a String representation of this Angle formatted as degrees and decimal minutes.
    
    Returns:
    
    the value of this angle in degrees and decimal minutes as a string.
  - toFormattedDMSString
```
public final java.lang.String toFormattedDMSString()
```
  - toDMS
```
public final double[] toDMS()
```
  - getSizeInBytes
```
public long getSizeInBytes()
```
    Obtains the amount of memory this Angle consumes.
    
    Returns:
    
    the memory footprint of this angle in bytes.
  - equals
```
public boolean equals(java.lang.Object o)
```
    Overrides:
    
    equals in class java.lang.Object
  - hashCode
```
public int hashCode()
```
    Overrides:
    
    hashCode in class java.lang.Object

Class Angle

Field Summary

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Field Detail

ANGLE_FORMAT_DD

ANGLE_FORMAT_DM

ANGLE_FORMAT_DMS

ZERO

POS90

NEG90

POS180

NEG180

POS360

NEG360

MINUTE

SECOND

degrees

radians

Constructor Detail

Angle

Method Detail

fromDegrees

fromRadians

fromDegreesLatitude

fromRadiansLatitude

fromDegreesLongitude

fromRadiansLongitude

fromXY

fromDMS

fromDMdS

fromDMS

getDegrees

getRadians

add

subtract

multiply

divide

addDegrees

subtractDegrees

divide

addRadians

subtractRadians

angularDistanceTo

sin

sinHalfAngle

asin

arctanh

cos

cosHalfAngle

acos

tanHalfAngle

atan

midAngle

average

average

clamp

mix

compareTo

normalizedDegrees

normalizedDegreesLatitude

normalizedDegreesLongitude

normalizedAngle

normalizedLatitude

normalizedLongitude

normalize

normalizedLatitude

normalizedLongitude

crossesLongitudeBoundary

isValidLatitude

isValidLongitude

max

min

toString

toDecimalDegreesString

toDMSString

toDMString

toFormattedDMSString

toDMS