java.lang.Object
- gaia.cu9.ari.gaiaorbit.util.math.Vector2d

All Implemented Interfaces:

Vectord<Vector2d>, java.io.Serializable
```
public class Vector2d
extends java.lang.Object
implements java.io.Serializable, Vectord<Vector2d>
```
Encapsulates a 2D vector. Allows chaining methods by returning a reference to itself

See Also:

Serialized Form

Field Summary

Fields
Modifier and Type	Field	Description
`double`	`x`	the x-component of this vector
`static Vector2d`	`X`
`double`	`y`	the y-component of this vector
`static Vector2d`	`Y`
`static Vector2d`	`Zero`

Constructor Summary

Constructors
Constructor	Description
`Vector2d()`	Constructs a new vector at (0,0)
`Vector2d(double x, double y)`	Constructs a vector with the given components
`Vector2d(Vector2d v)`	Constructs a vector from the given vector

Method Summary

All Methods Static Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`Vector2d`	`add(double x, double y)`	Adds the given components to this vector
`Vector2d`	`add(Vector2d v)`	Adds the given vector to this vector
`double`	`angle()`
`Vector2d`	`clamp(double min, double max)`	Clamps this vector's length to given min and max values
`Vector2d`	`cpy()`
`double`	`crs(double x, double y)`	Calculates the 2D cross product between this and the given vector.
`double`	`crs(Vector2d v)`	Calculates the 2D cross product between this and the given vector.
`double`	`dot(double ox, double oy)`
`static double`	`dot(double x1, double y1, double x2, double y2)`
`double`	`dot(Vector2d v)`
`double`	`dst(double x, double y)`
`static double`	`dst(double x1, double y1, double x2, double y2)`
`double`	`dst(Vector2d v)`
`double`	`dst2(double x, double y)`
`static double`	`dst2(double x1, double y1, double x2, double y2)`
`double`	`dst2(Vector2d v)`	This method is faster than `Vectord.dst(Vectord)` because it avoids calculating a square root.
`boolean`	`epsilonEquals(double x, double y, double epsilon)`	Compares this vector with the other vector, using the supplied epsilon for fuzzy equality testing.
`boolean`	`epsilonEquals(Vector2d other, double epsilon)`	Compares this vector with the other vector, using the supplied epsilon for fuzzy equality testing.
`double`	`getAngleRad()`
`boolean`	`hasOppositeDirection(Vector2d vector)`
`boolean`	`hasSameDirection(Vector2d vector)`
`Vector2d`	`interpolate(Vector2d target, double alpha, Interpolationd interpolation)`	Interpolates between this vector and the given target vector by alpha (within range [0,1]) using the given Interpolation method.
`boolean`	`isCollinear(Vector2d other)`
`boolean`	`isCollinear(Vector2d other, double epsilon)`
`boolean`	`isCollinearOpposite(Vector2d other)`
`boolean`	`isCollinearOpposite(Vector2d other, double epsilon)`
`boolean`	`isOnLine(Vector2d other)`
`boolean`	`isOnLine(Vector2d other, double epsilon)`
`boolean`	`isPerpendicular(Vector2d vector)`
`boolean`	`isPerpendicular(Vector2d vector, double epsilon)`
`boolean`	`isUnit()`
`boolean`	`isUnit(double margin)`
`boolean`	`isZero()`
`boolean`	`isZero(double margin)`
`double`	`len()`
`static double`	`len(double x, double y)`
`double`	`len2()`	This method is faster than `Vectord.len()` because it avoids calculating a square root.
`static double`	`len2(double x, double y)`
`Vector2d`	`lerp(Vector2d target, double alpha)`	Linearly interpolates between this vector and the target vector by alpha which is in the range [0,1].
`Vector2d`	`limit(double limit)`	Limits the length of this vector, based on the desired maximum length.
`Vector2d`	`limit2(double limit2)`	Limits the length of this vector, based on the desired maximum length squared.
`Vector2d`	`mul(com.badlogic.gdx.math.Matrix3 mat)`	Left-multiplies this vector by the given matrix
`Vector2d`	`mulAdd(Vector2d vec, double scalar)`	First scale a supplied vector, then add it to this vector.
`Vector2d`	`mulAdd(Vector2d vec, Vector2d mulVec)`	First scale a supplied vector, then add it to this vector.
`Vector2d`	`nor()`	Normalizes this vector.
`Vector2d`	`rotate(double degrees)`	Rotates the Vector2d by the given angle, counter-clockwise assuming the y-axis points up.
`Vector2d`	`rotate90(int dir)`	Rotates the Vector2d by 90 degrees in the specified direction, where >= 0 is counter-clockwise and < 0 is clockwise.
`Vector2d`	`rotateRad(double radians)`	Rotates the Vector2d by the given angle, counter-clockwise assuming the y-axis points up.
`Vector2d`	`scl(double scalar)`	Scales this vector by a scalar
`Vector2d`	`scl(double x, double y)`	Multiplies this vector by a scalar
`Vector2d`	`scl(Vector2d v)`	Scales this vector by another vector
`Vector2d`	`set(double[] vals)`
`Vector2d`	`set(double x, double y)`	Sets the components of this vector
`Vector2d`	`set(Vector2d v)`	Sets this vector from the given vector
`Vector2d`	`setAngle(double degrees)`	Sets the angle of the vector in degrees relative to the x-axis, towards the positive y-axis (typically counter-clockwise).
`Vector2d`	`setAngleRad(double radians)`	Sets the angle of the vector in radians relative to the x-axis, towards the positive y-axis (typically counter-clockwise).
`Vector2d`	`setLength(double len)`	Sets the length of this vector.
`Vector2d`	`setLength2(double len2)`	Sets the length of this vector, based on the square of the desired length.
`Vector2d`	`setToRandomDirection()`	Sets this vector to the unit vector with a random direction
`Vector2d`	`setZero()`	Sets the components of this vector to 0
`Vector2d`	`sub(double x, double y)`	Substracts the other vector from this vector.
`Vector2d`	`sub(Vector2d v)`	Subtracts the given vector from this vector.
`java.lang.String`	`toString()`
`double[]`	`values()`
`double`	`x()`
`double`	`y()`

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

- Field Detail
  - X
```
public static final Vector2d X
```
  - Y
```
public static final Vector2d Y
```
  - Zero
```
public static final Vector2d Zero
```
  - x
```
public double x
```
    the x-component of this vector
  - y
```
public double y
```
    the y-component of this vector
- Constructor Detail
  - Vector2d
```
public Vector2d()
```
    Constructs a new vector at (0,0)
  - Vector2d
```
public Vector2d(double x,
                double y)
```
    Constructs a vector with the given components
    
    Parameters:
    
    x - The x-component
    
    y - The y-component
  - Vector2d
```
public Vector2d(Vector2d v)
```
    Constructs a vector from the given vector
    
    Parameters:
    
    v - The vector
- Method Detail
  - x
```
public double x()
```
  - y
```
public double y()
```
  - cpy
```
public Vector2d cpy()
```
    Specified by:
    
    cpy in interface Vectord<Vector2d>
    
    Returns:
    
    a copy of this vector
  - len
```
public static double len(double x,
                         double y)
```
  - len
```
public double len()
```
    Specified by:
    
    len in interface Vectord<Vector2d>
    
    Returns:
    
    The euclidean length
  - len2
```
public static double len2(double x,
                          double y)
```
  - len2
```
public double len2()
```
    Description copied from interface: Vectord
    
    This method is faster than Vectord.len() because it avoids calculating a square root. It is useful for comparisons, but not for getting exact lengths, as the return value is the square of the actual length.
    
    Specified by:
    
    len2 in interface Vectord<Vector2d>
    
    Returns:
    
    The squared euclidean length
  - set
```
public Vector2d set(Vector2d v)
```
    Description copied from interface: Vectord
    
    Sets this vector from the given vector
    
    Specified by:
    
    set in interface Vectord<Vector2d>
    
    Parameters:
    
    v - The vector
    
    Returns:
    
    This vector for chaining
  - set
```
public Vector2d set(double[] vals)
```
  - set
```
public Vector2d set(double x,
                    double y)
```
    Sets the components of this vector
    
    Parameters:
    
    x - The x-component
    
    y - The y-component
    
    Returns:
    
    This vector for chaining
  - sub
```
public Vector2d sub(Vector2d v)
```
    Description copied from interface: Vectord
    
    Subtracts the given vector from this vector.
    
    Specified by:
    
    sub in interface Vectord<Vector2d>
    
    Parameters:
    
    v - The vector
    
    Returns:
    
    This vector for chaining
  - sub
```
public Vector2d sub(double x,
                    double y)
```
    Substracts the other vector from this vector.
    
    Parameters:
    
    x - The x-component of the other vector
    
    y - The y-component of the other vector
    
    Returns:
    
    This vector for chaining
  - nor
```
public Vector2d nor()
```
    Description copied from interface: Vectord
    
    Normalizes this vector. Does nothing if it is zero.
    
    Specified by:
    
    nor in interface Vectord<Vector2d>
    
    Returns:
    
    This vector for chaining
  - add
```
public Vector2d add(Vector2d v)
```
    Description copied from interface: Vectord
    
    Adds the given vector to this vector
    
    Specified by:
    
    add in interface Vectord<Vector2d>
    
    Parameters:
    
    v - The vector
    
    Returns:
    
    This vector for chaining
  - add
```
public Vector2d add(double x,
                    double y)
```
    Adds the given components to this vector
    
    Parameters:
    
    x - The x-component
    
    y - The y-component
    
    Returns:
    
    This vector for chaining
  - dot
```
public static double dot(double x1,
                         double y1,
                         double x2,
                         double y2)
```
  - dot
```
public double dot(Vector2d v)
```
    Specified by:
    
    dot in interface Vectord<Vector2d>
    
    Parameters:
    
    v - The other vector
    
    Returns:
    
    The dot product between this and the other vector
  - dot
```
public double dot(double ox,
                  double oy)
```
  - scl
```
public Vector2d scl(double scalar)
```
    Description copied from interface: Vectord
    
    Scales this vector by a scalar
    
    Specified by:
    
    scl in interface Vectord<Vector2d>
    
    Parameters:
    
    scalar - The scalar
    
    Returns:
    
    This vector for chaining
  - scl
```
public Vector2d scl(double x,
                    double y)
```
    Multiplies this vector by a scalar
    
    Returns:
    
    This vector for chaining
  - scl
```
public Vector2d scl(Vector2d v)
```
    Description copied from interface: Vectord
    
    Scales this vector by another vector
    
    Specified by:
    
    scl in interface Vectord<Vector2d>
    
    Returns:
    
    This vector for chaining
  - mulAdd
```
public Vector2d mulAdd(Vector2d vec,
                       double scalar)
```
    Description copied from interface: Vectord
    
    First scale a supplied vector, then add it to this vector.
    
    Specified by:
    
    mulAdd in interface Vectord<Vector2d>
    
    Parameters:
    
    vec - addition vector
    
    scalar - for scaling the addition vector
  - mulAdd
```
public Vector2d mulAdd(Vector2d vec,
                       Vector2d mulVec)
```
    Description copied from interface: Vectord
    
    First scale a supplied vector, then add it to this vector.
    
    Specified by:
    
    mulAdd in interface Vectord<Vector2d>
    
    Parameters:
    
    vec - addition vector
    
    mulVec - vector by whose values the addition vector will be scaled
  - setZero
```
public Vector2d setZero()
```
    Description copied from interface: Vectord
    
    Sets the components of this vector to 0
    
    Specified by:
    
    setZero in interface Vectord<Vector2d>
    
    Returns:
    
    This vector for chaining
  - dst
```
public static double dst(double x1,
                         double y1,
                         double x2,
                         double y2)
```
  - dst
```
public double dst(Vector2d v)
```
    Specified by:
    
    dst in interface Vectord<Vector2d>
    
    Parameters:
    
    v - The other vector
    
    Returns:
    
    the distance between this and the other vector
  - dst
```
public double dst(double x,
                  double y)
```
    Parameters:
    
    x - The x-component of the other vector
    
    y - The y-component of the other vector
    
    Returns:
    
    the distance between this and the other vector
  - dst2
```
public static double dst2(double x1,
                          double y1,
                          double x2,
                          double y2)
```
  - dst2
```
public double dst2(Vector2d v)
```
    Description copied from interface: Vectord
    
    This method is faster than Vectord.dst(Vectord) because it avoids calculating a square root. It is useful for comparisons, but not for getting accurate distances, as the return value is the square of the actual distance.
    
    Specified by:
    
    dst2 in interface Vectord<Vector2d>
    
    Parameters:
    
    v - The other vector
    
    Returns:
    
    the squared distance between this and the other vector
  - dst2
```
public double dst2(double x,
                   double y)
```
    Parameters:
    
    x - The x-component of the other vector
    
    y - The y-component of the other vector
    
    Returns:
    
    the squared distance between this and the other vector
  - limit
```
public Vector2d limit(double limit)
```
    Description copied from interface: Vectord
    
    Limits the length of this vector, based on the desired maximum length.
    
    Specified by:
    
    limit in interface Vectord<Vector2d>
    
    Parameters:
    
    limit - desired maximum length for this vector
    
    Returns:
    
    this vector for chaining
  - limit2
```
public Vector2d limit2(double limit2)
```
    Description copied from interface: Vectord
    
    Limits the length of this vector, based on the desired maximum length squared.
    This method is slightly faster than limit().
    
    Specified by:
    
    limit2 in interface Vectord<Vector2d>
    
    Parameters:
    
    limit2 - squared desired maximum length for this vector
    
    Returns:
    
    this vector for chaining
    
    See Also:
    
    Vectord.len2()
  - setLength
```
public Vector2d setLength(double len)
```
    Description copied from interface: Vectord
    
    Sets the length of this vector. Does nothing is this vector is zero.
    
    Specified by:
    
    setLength in interface Vectord<Vector2d>
    
    Parameters:
    
    len - desired length for this vector
    
    Returns:
    
    this vector for chaining
  - setLength2
```
public Vector2d setLength2(double len2)
```
    Description copied from interface: Vectord
    
    Sets the length of this vector, based on the square of the desired length. Does nothing is this vector is zero.
    This method is slightly faster than setLength().
    
    Specified by:
    
    setLength2 in interface Vectord<Vector2d>
    
    Parameters:
    
    len2 - desired square of the length for this vector
    
    Returns:
    
    this vector for chaining
    
    See Also:
    
    Vectord.len2()
  - clamp
```
public Vector2d clamp(double min,
                      double max)
```
    Description copied from interface: Vectord
    
    Clamps this vector's length to given min and max values
    
    Specified by:
    
    clamp in interface Vectord<Vector2d>
    
    Parameters:
    
    min - Min length
    
    max - Max length
    
    Returns:
    
    This vector for chaining
  - toString
```
public java.lang.String toString()
```
    Overrides:
    
    toString in class java.lang.Object
  - mul
```
public Vector2d mul(com.badlogic.gdx.math.Matrix3 mat)
```
    Left-multiplies this vector by the given matrix
    
    Parameters:
    
    mat - the matrix
    
    Returns:
    
    this vector
  - crs
```
public double crs(Vector2d v)
```
    Calculates the 2D cross product between this and the given vector.
    
    Parameters:
    
    v - the other vector
    
    Returns:
    
    the cross product
  - crs
```
public double crs(double x,
                  double y)
```
    Calculates the 2D cross product between this and the given vector.
    
    Parameters:
    
    x - the x-coordinate of the other vector
    
    y - the y-coordinate of the other vector
    
    Returns:
    
    the cross product
  - angle
```
public double angle()
```
    Returns:
    
    the angle in degrees of this vector (point) relative to the x-axis. Angles are towards the positive y-axis (typically counter-clockwise) and between 0 and 360.
  - getAngleRad
```
public double getAngleRad()
```
    Returns:
    
    the angle in radians of this vector (point) relative to the x-axis. Angles are towards the positive y-axis. (typically counter-clockwise)
  - setAngle
```
public Vector2d setAngle(double degrees)
```
    Sets the angle of the vector in degrees relative to the x-axis, towards the positive y-axis (typically counter-clockwise).
    
    Parameters:
    
    degrees - The angle in degrees to set.
  - setAngleRad
```
public Vector2d setAngleRad(double radians)
```
    Sets the angle of the vector in radians relative to the x-axis, towards the positive y-axis (typically counter-clockwise).
    
    Parameters:
    
    radians - The angle in radians to set.
  - rotate
```
public Vector2d rotate(double degrees)
```
    Rotates the Vector2d by the given angle, counter-clockwise assuming the y-axis points up.
    
    Parameters:
    
    degrees - the angle in degrees
  - rotateRad
```
public Vector2d rotateRad(double radians)
```
    Rotates the Vector2d by the given angle, counter-clockwise assuming the y-axis points up.
    
    Parameters:
    
    radians - the angle in radians
  - values
```
public double[] values()
```
  - rotate90
```
public Vector2d rotate90(int dir)
```
    Rotates the Vector2d by 90 degrees in the specified direction, where >= 0 is counter-clockwise and < 0 is clockwise.
  - lerp
```
public Vector2d lerp(Vector2d target,
                     double alpha)
```
    Description copied from interface: Vectord
    
    Linearly interpolates between this vector and the target vector by alpha which is in the range [0,1]. The result is stored in this vector.
    
    Specified by:
    
    lerp in interface Vectord<Vector2d>
    
    Parameters:
    
    target - The target vector
    
    alpha - The interpolation coefficient
    
    Returns:
    
    This vector for chaining.
  - interpolate
```
public Vector2d interpolate(Vector2d target,
                            double alpha,
                            Interpolationd interpolation)
```
    Description copied from interface: Vectord
    
    Interpolates between this vector and the given target vector by alpha (within range [0,1]) using the given Interpolation method. the result is stored in this vector.
    
    Specified by:
    
    interpolate in interface Vectord<Vector2d>
    
    Parameters:
    
    target - The target vector
    
    alpha - The interpolation coefficient
    
    interpolation - An Interpolation object describing the used interpolation method
    
    Returns:
    
    This vector for chaining.
  - setToRandomDirection
```
public Vector2d setToRandomDirection()
```
    Description copied from interface: Vectord
    
    Sets this vector to the unit vector with a random direction
    
    Specified by:
    
    setToRandomDirection in interface Vectord<Vector2d>
    
    Returns:
    
    This vector for chaining
  - epsilonEquals
```
public boolean epsilonEquals(Vector2d other,
                             double epsilon)
```
    Description copied from interface: Vectord
    
    Compares this vector with the other vector, using the supplied epsilon for fuzzy equality testing.
    
    Specified by:
    
    epsilonEquals in interface Vectord<Vector2d>
    
    Returns:
    
    whether the vectors have fuzzy equality.
  - epsilonEquals
```
public boolean epsilonEquals(double x,
                             double y,
                             double epsilon)
```
    Compares this vector with the other vector, using the supplied epsilon for fuzzy equality testing.
    
    Returns:
    
    whether the vectors are the same.
  - isUnit
```
public boolean isUnit()
```
    Specified by:
    
    isUnit in interface Vectord<Vector2d>
    
    Returns:
    
    Whether this vector is a unit length vector
  - isUnit
```
public boolean isUnit(double margin)
```
    Specified by:
    
    isUnit in interface Vectord<Vector2d>
    
    Returns:
    
    Whether this vector is a unit length vector within the given margin.
  - isZero
```
public boolean isZero()
```
    Specified by:
    
    isZero in interface Vectord<Vector2d>
    
    Returns:
    
    Whether this vector is a zero vector
  - isZero
```
public boolean isZero(double margin)
```
    Specified by:
    
    isZero in interface Vectord<Vector2d>
    
    Returns:
    
    Whether the length of this vector is smaller than the given margin
  - isOnLine
```
public boolean isOnLine(Vector2d other)
```
    Specified by:
    
    isOnLine in interface Vectord<Vector2d>
    
    Returns:
    
    true if this vector is in line with the other vector (either in the same or the opposite direction)
  - isOnLine
```
public boolean isOnLine(Vector2d other,
                        double epsilon)
```
    Specified by:
    
    isOnLine in interface Vectord<Vector2d>
    
    Returns:
    
    true if this vector is in line with the other vector (either in the same or the opposite direction)
  - isCollinear
```
public boolean isCollinear(Vector2d other,
                           double epsilon)
```
    Specified by:
    
    isCollinear in interface Vectord<Vector2d>
    
    Returns:
    
    true if this vector is collinear with the other vector (Vectord.isOnLine(Vectord, double) && Vectord.hasSameDirection(Vectord)).
  - isCollinear
```
public boolean isCollinear(Vector2d other)
```
    Specified by:
    
    isCollinear in interface Vectord<Vector2d>
    
    Returns:
    
    true if this vector is collinear with the other vector (Vectord.isOnLine(Vectord) && Vectord.hasSameDirection(Vectord)).
  - isCollinearOpposite
```
public boolean isCollinearOpposite(Vector2d other,
                                   double epsilon)
```
    Specified by:
    
    isCollinearOpposite in interface Vectord<Vector2d>
    
    Returns:
    
    true if this vector is opposite collinear with the other vector (Vectord.isOnLine(Vectord, double) && Vectord.hasOppositeDirection(Vectord)).
  - isCollinearOpposite
```
public boolean isCollinearOpposite(Vector2d other)
```
    Specified by:
    
    isCollinearOpposite in interface Vectord<Vector2d>
    
    Returns:
    
    true if this vector is opposite collinear with the other vector (Vectord.isOnLine(Vectord) && Vectord.hasOppositeDirection(Vectord)).
  - isPerpendicular
```
public boolean isPerpendicular(Vector2d vector)
```
    Specified by:
    
    isPerpendicular in interface Vectord<Vector2d>
    
    Returns:
    
    Whether this vector is perpendicular with the other vector. True if the dot product is 0.
  - isPerpendicular
```
public boolean isPerpendicular(Vector2d vector,
                               double epsilon)
```
    Specified by:
    
    isPerpendicular in interface Vectord<Vector2d>
    
    epsilon - a positive small number close to zero
    
    Returns:
    
    Whether this vector is perpendicular with the other vector. True if the dot product is 0.
  - hasSameDirection
```
public boolean hasSameDirection(Vector2d vector)
```
    Specified by:
    
    hasSameDirection in interface Vectord<Vector2d>
    
    Returns:
    
    Whether this vector has similar direction compared to the other vector. True if the normalized dot product is > 0.
  - hasOppositeDirection
```
public boolean hasOppositeDirection(Vector2d vector)
```
    Specified by:
    
    hasOppositeDirection in interface Vectord<Vector2d>
    
    Returns:
    
    Whether this vector has opposite direction compared to the other vector. True if the normalized dot product is < 0.

Class Vector2d

Field Summary

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Field Detail

X

Y

Zero

x

y

Constructor Detail

Vector2d

Vector2d

Vector2d

Method Detail

x

y

cpy

len

len

len2

len2

set

set

set

sub

sub

nor

add

add

dot

dot

dot

scl

scl

scl

mulAdd

mulAdd

setZero

dst

dst

dst

dst2

dst2

dst2

limit

limit2

setLength

setLength2

clamp

toString

mul

crs

crs

angle

getAngleRad

setAngle

setAngleRad

rotate

rotateRad

values

rotate90

lerp

interpolate

setToRandomDirection

epsilonEquals

epsilonEquals

isUnit

isUnit

isZero

isZero

isOnLine

isOnLine

isCollinear

isCollinear

isCollinearOpposite

isCollinearOpposite

isPerpendicular

isPerpendicular