FieldVector2D (Hipparchus 2.0 API)

java.lang.Object
- org.hipparchus.geometry.euclidean.twod.FieldVector2D<T>

Type Parameters:

T - the type of the field elements
```
public class FieldVector2D<T extends CalculusFieldElement<T>>
extends Object
```
This class is a re-implementation of Vector2D using CalculusFieldElement.
Instance of this class are guaranteed to be immutable.

Since:

1.6

Constructor Summary

Constructors
Constructor and Description
`FieldVector2D(double a, FieldVector2D<T> u)` Multiplicative constructor Build a vector from another one and a scale factor.
`FieldVector2D(double a1, FieldVector2D<T> u1, double a2, FieldVector2D<T> u2)` Linear constructor.
`FieldVector2D(double a1, FieldVector2D<T> u1, double a2, FieldVector2D<T> u2, double a3, FieldVector2D<T> u3)` Linear constructor.
`FieldVector2D(double a1, FieldVector2D<T> u1, double a2, FieldVector2D<T> u2, double a3, FieldVector2D<T> u3, double a4, FieldVector2D<T> u4)` Linear constructor.
`FieldVector2D(Field<T> field, Vector2D v)` Build a `FieldVector2D` from a `Vector2D`.
`FieldVector2D(T[] v)` Simple constructor.
`FieldVector2D(T a, FieldVector2D<T> u)` Multiplicative constructor Build a vector from another one and a scale factor.
`FieldVector2D(T a1, FieldVector2D<T> u1, T a2, FieldVector2D<T> u2)` Linear constructor Build a vector from two other ones and corresponding scale factors.
`FieldVector2D(T a1, FieldVector2D<T> u1, T a2, FieldVector2D<T> u2, T a3, FieldVector2D<T> u3)` Linear constructor.
`FieldVector2D(T a1, FieldVector2D<T> u1, T a2, FieldVector2D<T> u2, T a3, FieldVector2D<T> u3, T a4, FieldVector2D<T> u4)` Linear constructor.
`FieldVector2D(T x, T y)` Simple constructor.
`FieldVector2D(T a, Vector2D u)` Multiplicative constructor Build a vector from another one and a scale factor.
`FieldVector2D(T a1, Vector2D u1, T a2, Vector2D u2)` Linear constructor.
`FieldVector2D(T a1, Vector2D u1, T a2, Vector2D u2, T a3, Vector2D u3)` Linear constructor.
`FieldVector2D(T a1, Vector2D u1, T a2, Vector2D u2, T a3, Vector2D u3, T a4, Vector2D u4)` Linear constructor.

Method Summary

All Methods Static Methods Instance Methods Concrete Methods
Modifier and Type	Method and Description
`FieldVector2D<T>`	`add(double factor, FieldVector2D<T> v)` Add a scaled vector to the instance.
`FieldVector2D<T>`	`add(double factor, Vector2D v)` Add a scaled vector to the instance.
`FieldVector2D<T>`	`add(FieldVector2D<T> v)` Add a vector to the instance.
`FieldVector2D<T>`	`add(T factor, FieldVector2D<T> v)` Add a scaled vector to the instance.
`FieldVector2D<T>`	`add(T factor, Vector2D v)` Add a scaled vector to the instance.
`FieldVector2D<T>`	`add(Vector2D v)` Add a vector to the instance.
`static <T extends CalculusFieldElement<T>> T`	`angle(FieldVector2D<T> v1, FieldVector2D<T> v2)` Compute the angular separation between two vectors.
`static <T extends CalculusFieldElement<T>> T`	`angle(FieldVector2D<T> v1, Vector2D v2)` Compute the angular separation between two vectors.
`static <T extends CalculusFieldElement<T>> T`	`angle(Vector2D v1, FieldVector2D<T> v2)` Compute the angular separation between two vectors.
`T`	`crossProduct(FieldVector2D<T> p1, FieldVector2D<T> p2)` Compute the cross-product of the instance and the given points.
`T`	`crossProduct(Vector2D p1, Vector2D p2)` Compute the cross-product of the instance and the given points.
`T`	`distance(FieldVector2D<T> v)` Compute the distance between the instance and another vector according to the L₂ norm.
`static <T extends CalculusFieldElement<T>> T`	`distance(FieldVector2D<T> p1, FieldVector2D<T> p2)` Compute the distance between two vectors according to the L₂ norm.
`static <T extends CalculusFieldElement<T>> T`	`distance(FieldVector2D<T> p1, Vector2D p2)` Compute the distance between two vectors according to the L₂ norm.
`T`	`distance(Vector2D v)` Compute the distance between the instance and another vector according to the L₂ norm.
`static <T extends CalculusFieldElement<T>> T`	`distance(Vector2D p1, FieldVector2D<T> p2)` Compute the distance between two vectors according to the L₂ norm.
`T`	`distance1(FieldVector2D<T> v)` Compute the distance between the instance and another vector according to the L₁ norm.
`static <T extends CalculusFieldElement<T>> T`	`distance1(FieldVector2D<T> p1, FieldVector2D<T> p2)` Compute the distance between two vectors according to the L₂ norm.
`static <T extends CalculusFieldElement<T>> T`	`distance1(FieldVector2D<T> p1, Vector2D p2)` Compute the distance between two vectors according to the L₂ norm.
`T`	`distance1(Vector2D v)` Compute the distance between the instance and another vector according to the L₁ norm.
`static <T extends CalculusFieldElement<T>> T`	`distance1(Vector2D p1, FieldVector2D<T> p2)` Compute the distance between two vectors according to the L₂ norm.
`T`	`distanceInf(FieldVector2D<T> v)` Compute the distance between the instance and another vector according to the L_∞ norm.
`static <T extends CalculusFieldElement<T>> T`	`distanceInf(FieldVector2D<T> p1, FieldVector2D<T> p2)` Compute the distance between two vectors according to the L_∞ norm.
`static <T extends CalculusFieldElement<T>> T`	`distanceInf(FieldVector2D<T> p1, Vector2D p2)` Compute the distance between two vectors according to the L_∞ norm.
`T`	`distanceInf(Vector2D v)` Compute the distance between the instance and another vector according to the L_∞ norm.
`static <T extends CalculusFieldElement<T>> T`	`distanceInf(Vector2D p1, FieldVector2D<T> p2)` Compute the distance between two vectors according to the L_∞ norm.
`T`	`distanceSq(FieldVector2D<T> v)` Compute the square of the distance between the instance and another vector.
`static <T extends CalculusFieldElement<T>> T`	`distanceSq(FieldVector2D<T> p1, FieldVector2D<T> p2)` Compute the square of the distance between two vectors.
`static <T extends CalculusFieldElement<T>> T`	`distanceSq(FieldVector2D<T> p1, Vector2D p2)` Compute the square of the distance between two vectors.
`T`	`distanceSq(Vector2D v)` Compute the square of the distance between the instance and another vector.
`static <T extends CalculusFieldElement<T>> T`	`distanceSq(Vector2D p1, FieldVector2D<T> p2)` Compute the square of the distance between two vectors.
`T`	`dotProduct(FieldVector2D<T> v)` Compute the dot-product of the instance and another vector.
`T`	`dotProduct(Vector2D v)` Compute the dot-product of the instance and another vector.
`boolean`	`equals(Object other)` Test for the equality of two 2D vectors.
`static <T extends CalculusFieldElement<T>> FieldVector2D<T>`	`getMinusI(Field<T> field)` Get opposite of the first canonical vector (coordinates: -1).
`static <T extends CalculusFieldElement<T>> FieldVector2D<T>`	`getMinusJ(Field<T> field)` Get opposite of the second canonical vector (coordinates: 0, -1).
`static <T extends CalculusFieldElement<T>> FieldVector2D<T>`	`getNaN(Field<T> field)` Get a vector with all coordinates set to NaN.
`static <T extends CalculusFieldElement<T>> FieldVector2D<T>`	`getNegativeInfinity(Field<T> field)` Get a vector with all coordinates set to negative infinity.
`T`	`getNorm()` Get the L₂ norm for the vector.
`T`	`getNorm1()` Get the L₁ norm for the vector.
`T`	`getNormInf()` Get the L_∞ norm for the vector.
`T`	`getNormSq()` Get the square of the norm for the vector.
`static <T extends CalculusFieldElement<T>> FieldVector2D<T>`	`getPlusI(Field<T> field)` Get first canonical vector (coordinates: 1, 0).
`static <T extends CalculusFieldElement<T>> FieldVector2D<T>`	`getPlusJ(Field<T> field)` Get second canonical vector (coordinates: 0, 1).
`static <T extends CalculusFieldElement<T>> FieldVector2D<T>`	`getPositiveInfinity(Field<T> field)` Get a vector with all coordinates set to positive infinity.
`T`	`getX()` Get the abscissa of the vector.
`T`	`getY()` Get the ordinate of the vector.
`static <T extends CalculusFieldElement<T>> FieldVector2D<T>`	`getZero(Field<T> field)` Get null vector (coordinates: 0, 0).
`int`	`hashCode()` Get a hashCode for the 3D vector.
`boolean`	`isInfinite()` Returns true if any coordinate of this vector is infinite and none are NaN; false otherwise
`boolean`	`isNaN()` Returns true if any coordinate of this vector is NaN; false otherwise
`FieldVector2D<T>`	`negate()` Get the opposite of the instance.
`FieldVector2D<T>`	`normalize()` Get a normalized vector aligned with the instance.
`static <T extends CalculusFieldElement<T>> T`	`orientation(FieldVector2D<T> p, FieldVector2D<T> q, FieldVector2D<T> r)` Compute the orientation of a triplet of points.
`FieldVector2D<T>`	`scalarMultiply(double a)` Multiply the instance by a scalar.
`FieldVector2D<T>`	`scalarMultiply(T a)` Multiply the instance by a scalar.
`FieldVector2D<T>`	`subtract(double factor, FieldVector2D<T> v)` Subtract a scaled vector from the instance.
`FieldVector2D<T>`	`subtract(double factor, Vector2D v)` Subtract a scaled vector from the instance.
`FieldVector2D<T>`	`subtract(FieldVector2D<T> v)` Subtract a vector from the instance.
`FieldVector2D<T>`	`subtract(T factor, FieldVector2D<T> v)` Subtract a scaled vector from the instance.
`FieldVector2D<T>`	`subtract(T factor, Vector2D v)` Subtract a scaled vector from the instance.
`FieldVector2D<T>`	`subtract(Vector2D v)` Subtract a vector from the instance.
`T[]`	`toArray()` Get the vector coordinates as a dimension 2 array.
`String`	`toString()` Get a string representation of this vector.
`String`	`toString(NumberFormat format)` Get a string representation of this vector.
`Vector2D`	`toVector2D()` Convert to a constant vector without extra field parts.

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

- Constructor Detail
  - FieldVector2D
```
public FieldVector2D(T x,
                     T y)
```
    Simple constructor. Build a vector from its coordinates
    
    Parameters:
    
    x - abscissa
    
    y - ordinate
    
    See Also:
    
    getX(), getY()
  - FieldVector2D
```
public FieldVector2D(T[] v)
              throws MathIllegalArgumentException
```
    Simple constructor. Build a vector from its coordinates
    
    Parameters:
    
    v - coordinates array
    
    Throws:
    
    MathIllegalArgumentException - if array does not have 2 elements
    
    See Also:
    
    toArray()
  - FieldVector2D
```
public FieldVector2D(T a,
                     FieldVector2D<T> u)
```
    Multiplicative constructor Build a vector from another one and a scale factor. The vector built will be a * u
    
    Parameters:
    
    a - scale factor
    
    u - base (unscaled) vector
  - FieldVector2D
```
public FieldVector2D(T a,
                     Vector2D u)
```
    Multiplicative constructor Build a vector from another one and a scale factor. The vector built will be a * u
    
    Parameters:
    
    a - scale factor
    
    u - base (unscaled) vector
  - FieldVector2D
```
public FieldVector2D(double a,
                     FieldVector2D<T> u)
```
    Multiplicative constructor Build a vector from another one and a scale factor. The vector built will be a * u
    
    Parameters:
    
    a - scale factor
    
    u - base (unscaled) vector
  - FieldVector2D
```
public FieldVector2D(T a1,
                     FieldVector2D<T> u1,
                     T a2,
                     FieldVector2D<T> u2)
```
    Linear constructor Build a vector from two other ones and corresponding scale factors. The vector built will be a1 * u1 + a2 * u2
    
    Parameters:
    
    a1 - first scale factor
    
    u1 - first base (unscaled) vector
    
    a2 - second scale factor
    
    u2 - second base (unscaled) vector
  - FieldVector2D
```
public FieldVector2D(T a1,
                     Vector2D u1,
                     T a2,
                     Vector2D u2)
```
    Linear constructor. Build a vector from two other ones and corresponding scale factors. The vector built will be a1 * u1 + a2 * u2
    
    Parameters:
    
    a1 - first scale factor
    
    u1 - first base (unscaled) vector
    
    a2 - second scale factor
    
    u2 - second base (unscaled) vector
  - FieldVector2D
```
public FieldVector2D(double a1,
                     FieldVector2D<T> u1,
                     double a2,
                     FieldVector2D<T> u2)
```
    Linear constructor. Build a vector from two other ones and corresponding scale factors. The vector built will be a1 * u1 + a2 * u2
    
    Parameters:
    
    a1 - first scale factor
    
    u1 - first base (unscaled) vector
    
    a2 - second scale factor
    
    u2 - second base (unscaled) vector
  - FieldVector2D
```
public FieldVector2D(T a1,
                     FieldVector2D<T> u1,
                     T a2,
                     FieldVector2D<T> u2,
                     T a3,
                     FieldVector2D<T> u3)
```
    Linear constructor. Build a vector from three other ones and corresponding scale factors. The vector built will be a1 * u1 + a2 * u2 + a3 * u3
    
    Parameters:
    
    a1 - first scale factor
    
    u1 - first base (unscaled) vector
    
    a2 - second scale factor
    
    u2 - second base (unscaled) vector
    
    a3 - third scale factor
    
    u3 - third base (unscaled) vector
  - FieldVector2D
```
public FieldVector2D(T a1,
                     Vector2D u1,
                     T a2,
                     Vector2D u2,
                     T a3,
                     Vector2D u3)
```
    Linear constructor. Build a vector from three other ones and corresponding scale factors. The vector built will be a1 * u1 + a2 * u2 + a3 * u3
    
    Parameters:
    
    a1 - first scale factor
    
    u1 - first base (unscaled) vector
    
    a2 - second scale factor
    
    u2 - second base (unscaled) vector
    
    a3 - third scale factor
    
    u3 - third base (unscaled) vector
  - FieldVector2D
```
public FieldVector2D(double a1,
                     FieldVector2D<T> u1,
                     double a2,
                     FieldVector2D<T> u2,
                     double a3,
                     FieldVector2D<T> u3)
```
    Linear constructor. Build a vector from three other ones and corresponding scale factors. The vector built will be a1 * u1 + a2 * u2 + a3 * u3
    
    Parameters:
    
    a1 - first scale factor
    
    u1 - first base (unscaled) vector
    
    a2 - second scale factor
    
    u2 - second base (unscaled) vector
    
    a3 - third scale factor
    
    u3 - third base (unscaled) vector
  - FieldVector2D
```
public FieldVector2D(T a1,
                     FieldVector2D<T> u1,
                     T a2,
                     FieldVector2D<T> u2,
                     T a3,
                     FieldVector2D<T> u3,
                     T a4,
                     FieldVector2D<T> u4)
```
    Linear constructor. Build a vector from four other ones and corresponding scale factors. The vector built will be a1 * u1 + a2 * u2 + a3 * u3 + a4 * u4
    
    Parameters:
    
    a1 - first scale factor
    
    u1 - first base (unscaled) vector
    
    a2 - second scale factor
    
    u2 - second base (unscaled) vector
    
    a3 - third scale factor
    
    u3 - third base (unscaled) vector
    
    a4 - fourth scale factor
    
    u4 - fourth base (unscaled) vector
  - FieldVector2D
```
public FieldVector2D(T a1,
                     Vector2D u1,
                     T a2,
                     Vector2D u2,
                     T a3,
                     Vector2D u3,
                     T a4,
                     Vector2D u4)
```
    Linear constructor. Build a vector from four other ones and corresponding scale factors. The vector built will be a1 * u1 + a2 * u2 + a3 * u3 + a4 * u4
    
    Parameters:
    
    a1 - first scale factor
    
    u1 - first base (unscaled) vector
    
    a2 - second scale factor
    
    u2 - second base (unscaled) vector
    
    a3 - third scale factor
    
    u3 - third base (unscaled) vector
    
    a4 - fourth scale factor
    
    u4 - fourth base (unscaled) vector
  - FieldVector2D
```
public FieldVector2D(double a1,
                     FieldVector2D<T> u1,
                     double a2,
                     FieldVector2D<T> u2,
                     double a3,
                     FieldVector2D<T> u3,
                     double a4,
                     FieldVector2D<T> u4)
```
    Linear constructor. Build a vector from four other ones and corresponding scale factors. The vector built will be a1 * u1 + a2 * u2 + a3 * u3 + a4 * u4
    
    Parameters:
    
    a1 - first scale factor
    
    u1 - first base (unscaled) vector
    
    a2 - second scale factor
    
    u2 - second base (unscaled) vector
    
    a3 - third scale factor
    
    u3 - third base (unscaled) vector
    
    a4 - fourth scale factor
    
    u4 - fourth base (unscaled) vector
  - FieldVector2D
```
public FieldVector2D(Field<T> field,
                     Vector2D v)
```
    Build a FieldVector2D from a Vector2D.
    
    Parameters:
    
    field - field for the components
    
    v - vector to convert
- Method Detail
  - getZero
```
public static <T extends CalculusFieldElement<T>> FieldVector2D<T> getZero(Field<T> field)
```
    Get null vector (coordinates: 0, 0).
    
    Type Parameters:
    
    T - the type of the field elements
    
    Parameters:
    
    field - field for the components
    
    Returns:
    
    a new vector
  - getPlusI
```
public static <T extends CalculusFieldElement<T>> FieldVector2D<T> getPlusI(Field<T> field)
```
    Get first canonical vector (coordinates: 1, 0).
    
    Type Parameters:
    
    T - the type of the field elements
    
    Parameters:
    
    field - field for the components
    
    Returns:
    
    a new vector
  - getMinusI
```
public static <T extends CalculusFieldElement<T>> FieldVector2D<T> getMinusI(Field<T> field)
```
    Get opposite of the first canonical vector (coordinates: -1).
    
    Type Parameters:
    
    T - the type of the field elements
    
    Parameters:
    
    field - field for the components
    
    Returns:
    
    a new vector
  - getPlusJ
```
public static <T extends CalculusFieldElement<T>> FieldVector2D<T> getPlusJ(Field<T> field)
```
    Get second canonical vector (coordinates: 0, 1).
    
    Type Parameters:
    
    T - the type of the field elements
    
    Parameters:
    
    field - field for the components
    
    Returns:
    
    a new vector
  - getMinusJ
```
public static <T extends CalculusFieldElement<T>> FieldVector2D<T> getMinusJ(Field<T> field)
```
    Get opposite of the second canonical vector (coordinates: 0, -1).
    
    Type Parameters:
    
    T - the type of the field elements
    
    Parameters:
    
    field - field for the components
    
    Returns:
    
    a new vector
  - getNaN
```
public static <T extends CalculusFieldElement<T>> FieldVector2D<T> getNaN(Field<T> field)
```
    Get a vector with all coordinates set to NaN.
    
    Type Parameters:
    
    T - the type of the field elements
    
    Parameters:
    
    field - field for the components
    
    Returns:
    
    a new vector
  - getPositiveInfinity
```
public static <T extends CalculusFieldElement<T>> FieldVector2D<T> getPositiveInfinity(Field<T> field)
```
    Get a vector with all coordinates set to positive infinity.
    
    Type Parameters:
    
    T - the type of the field elements
    
    Parameters:
    
    field - field for the components
    
    Returns:
    
    a new vector
  - getNegativeInfinity
```
public static <T extends CalculusFieldElement<T>> FieldVector2D<T> getNegativeInfinity(Field<T> field)
```
    Get a vector with all coordinates set to negative infinity.
    
    Type Parameters:
    
    T - the type of the field elements
    
    Parameters:
    
    field - field for the components
    
    Returns:
    
    a new vector
  - getX
```
public T getX()
```
    Get the abscissa of the vector.
    
    Returns:
    
    abscissa of the vector
    
    See Also:
    
    FieldVector2D(CalculusFieldElement, CalculusFieldElement)
  - getY
```
public T getY()
```
    Get the ordinate of the vector.
    
    Returns:
    
    ordinate of the vector
    
    See Also:
    
    FieldVector2D(CalculusFieldElement, CalculusFieldElement)
  - toArray
```
public T[] toArray()
```
    Get the vector coordinates as a dimension 2 array.
    
    Returns:
    
    vector coordinates
    
    See Also:
    
    FieldVector2D(CalculusFieldElement[])
  - toVector2D
```
public Vector2D toVector2D()
```
    Convert to a constant vector without extra field parts.
    
    Returns:
    
    a constant vector
  - getNorm1
```
public T getNorm1()
```
    Get the L₁ norm for the vector.
    
    Returns:
    
    L₁ norm for the vector
  - getNorm
```
public T getNorm()
```
    Get the L₂ norm for the vector.
    
    Returns:
    
    Euclidean norm for the vector
  - getNormSq
```
public T getNormSq()
```
    Get the square of the norm for the vector.
    
    Returns:
    
    square of the Euclidean norm for the vector
  - getNormInf
```
public T getNormInf()
```
    Get the L_∞ norm for the vector.
    
    Returns:
    
    L_∞ norm for the vector
  - add
```
public FieldVector2D<T> add(FieldVector2D<T> v)
```
    Add a vector to the instance.
    
    Parameters:
    
    v - vector to add
    
    Returns:
    
    a new vector
  - add
```
public FieldVector2D<T> add(Vector2D v)
```
    Add a vector to the instance.
    
    Parameters:
    
    v - vector to add
    
    Returns:
    
    a new vector
  - add
```
public FieldVector2D<T> add(T factor,
                            FieldVector2D<T> v)
```
    Add a scaled vector to the instance.
    
    Parameters:
    
    factor - scale factor to apply to v before adding it
    
    v - vector to add
    
    Returns:
    
    a new vector
  - add
```
public FieldVector2D<T> add(T factor,
                            Vector2D v)
```
    Add a scaled vector to the instance.
    
    Parameters:
    
    factor - scale factor to apply to v before adding it
    
    v - vector to add
    
    Returns:
    
    a new vector
  - add
```
public FieldVector2D<T> add(double factor,
                            FieldVector2D<T> v)
```
    Add a scaled vector to the instance.
    
    Parameters:
    
    factor - scale factor to apply to v before adding it
    
    v - vector to add
    
    Returns:
    
    a new vector
  - add
```
public FieldVector2D<T> add(double factor,
                            Vector2D v)
```
    Add a scaled vector to the instance.
    
    Parameters:
    
    factor - scale factor to apply to v before adding it
    
    v - vector to add
    
    Returns:
    
    a new vector
  - subtract
```
public FieldVector2D<T> subtract(FieldVector2D<T> v)
```
    Subtract a vector from the instance.
    
    Parameters:
    
    v - vector to subtract
    
    Returns:
    
    a new vector
  - subtract
```
public FieldVector2D<T> subtract(Vector2D v)
```
    Subtract a vector from the instance.
    
    Parameters:
    
    v - vector to subtract
    
    Returns:
    
    a new vector
  - subtract
```
public FieldVector2D<T> subtract(T factor,
                                 FieldVector2D<T> v)
```
    Subtract a scaled vector from the instance.
    
    Parameters:
    
    factor - scale factor to apply to v before subtracting it
    
    v - vector to subtract
    
    Returns:
    
    a new vector
  - subtract
```
public FieldVector2D<T> subtract(T factor,
                                 Vector2D v)
```
    Subtract a scaled vector from the instance.
    
    Parameters:
    
    factor - scale factor to apply to v before subtracting it
    
    v - vector to subtract
    
    Returns:
    
    a new vector
  - subtract
```
public FieldVector2D<T> subtract(double factor,
                                 FieldVector2D<T> v)
```
    Subtract a scaled vector from the instance.
    
    Parameters:
    
    factor - scale factor to apply to v before subtracting it
    
    v - vector to subtract
    
    Returns:
    
    a new vector
  - subtract
```
public FieldVector2D<T> subtract(double factor,
                                 Vector2D v)
```
    Subtract a scaled vector from the instance.
    
    Parameters:
    
    factor - scale factor to apply to v before subtracting it
    
    v - vector to subtract
    
    Returns:
    
    a new vector
  - normalize
```
public FieldVector2D<T> normalize()
                           throws MathRuntimeException
```
    Get a normalized vector aligned with the instance.
    
    Returns:
    
    a new normalized vector
    
    Throws:
    
    MathRuntimeException - if the norm is zero
  - angle
```
public static <T extends CalculusFieldElement<T>> T angle(FieldVector2D<T> v1,
                                                          FieldVector2D<T> v2)
                                                   throws MathRuntimeException
```
    Compute the angular separation between two vectors.
    This method computes the angular separation between two vectors using the dot product for well separated vectors and the cross product for almost aligned vectors. This allows to have a good accuracy in all cases, even for vectors very close to each other.
    
    Type Parameters:
    
    T - the type of the field elements
    
    Parameters:
    
    v1 - first vector
    
    v2 - second vector
    
    Returns:
    
    angular separation between v1 and v2
    
    Throws:
    
    MathRuntimeException - if either vector has a null norm
  - angle
```
public static <T extends CalculusFieldElement<T>> T angle(FieldVector2D<T> v1,
                                                          Vector2D v2)
                                                   throws MathRuntimeException
```
    Compute the angular separation between two vectors.
    This method computes the angular separation between two vectors using the dot product for well separated vectors and the cross product for almost aligned vectors. This allows to have a good accuracy in all cases, even for vectors very close to each other.
    
    Type Parameters:
    
    T - the type of the field elements
    
    Parameters:
    
    v1 - first vector
    
    v2 - second vector
    
    Returns:
    
    angular separation between v1 and v2
    
    Throws:
    
    MathRuntimeException - if either vector has a null norm
  - angle
```
public static <T extends CalculusFieldElement<T>> T angle(Vector2D v1,
                                                          FieldVector2D<T> v2)
                                                   throws MathRuntimeException
```
    Compute the angular separation between two vectors.
    This method computes the angular separation between two vectors using the dot product for well separated vectors and the cross product for almost aligned vectors. This allows to have a good accuracy in all cases, even for vectors very close to each other.
    
    Type Parameters:
    
    T - the type of the field elements
    
    Parameters:
    
    v1 - first vector
    
    v2 - second vector
    
    Returns:
    
    angular separation between v1 and v2
    
    Throws:
    
    MathRuntimeException - if either vector has a null norm
  - negate
```
public FieldVector2D<T> negate()
```
    Get the opposite of the instance.
    
    Returns:
    
    a new vector which is opposite to the instance
  - scalarMultiply
```
public FieldVector2D<T> scalarMultiply(T a)
```
    Multiply the instance by a scalar.
    
    Parameters:
    
    a - scalar
    
    Returns:
    
    a new vector
  - scalarMultiply
```
public FieldVector2D<T> scalarMultiply(double a)
```
    Multiply the instance by a scalar.
    
    Parameters:
    
    a - scalar
    
    Returns:
    
    a new vector
  - isNaN
```
public boolean isNaN()
```
    Returns true if any coordinate of this vector is NaN; false otherwise
    
    Returns:
    
    true if any coordinate of this vector is NaN; false otherwise
  - isInfinite
```
public boolean isInfinite()
```
    Returns true if any coordinate of this vector is infinite and none are NaN; false otherwise
    
    Returns:
    
    true if any coordinate of this vector is infinite and none are NaN; false otherwise
  - equals
```
public boolean equals(Object other)
```
    Test for the equality of two 2D vectors.
    If all coordinates of two 2D vectors are exactly the same, and none of their real part are NaN, the two 2D vectors are considered to be equal.
    
    NaN coordinates are considered to affect globally the vector and be equals to each other - i.e, if either (or all) real part of the coordinates of the 3D vector are NaN, the 2D vector is NaN.
    
    Overrides:
    
    equals in class Object
    
    Parameters:
    
    other - Object to test for equality to this
    
    Returns:
    
    true if two 2D vector objects are equal, false if object is null, not an instance of FieldVector2D, or not equal to this FieldVector2D instance
  - hashCode
```
public int hashCode()
```
    Get a hashCode for the 3D vector.
    All NaN values have the same hash code.
    
    Overrides:
    
    hashCode in class Object
    
    Returns:
    
    a hash code value for this object
  - distance1
```
public T distance1(FieldVector2D<T> v)
```
    Compute the distance between the instance and another vector according to the L₁ norm.
    Calling this method is equivalent to calling: q.subtract(p).getNorm1() except that no intermediate vector is built
    
    Parameters:
    
    v - second vector
    
    Returns:
    
    the distance between the instance and p according to the L₁ norm
  - distance1
```
public T distance1(Vector2D v)
```
    Compute the distance between the instance and another vector according to the L₁ norm.
    Calling this method is equivalent to calling: q.subtract(p).getNorm1() except that no intermediate vector is built
    
    Parameters:
    
    v - second vector
    
    Returns:
    
    the distance between the instance and p according to the L₁ norm
  - distance
```
public T distance(FieldVector2D<T> v)
```
    Compute the distance between the instance and another vector according to the L₂ norm.
    Calling this method is equivalent to calling: q.subtract(p).getNorm() except that no intermediate vector is built
    
    Parameters:
    
    v - second vector
    
    Returns:
    
    the distance between the instance and p according to the L₂ norm
  - distance
```
public T distance(Vector2D v)
```
    Compute the distance between the instance and another vector according to the L₂ norm.
    Calling this method is equivalent to calling: q.subtract(p).getNorm() except that no intermediate vector is built
    
    Parameters:
    
    v - second vector
    
    Returns:
    
    the distance between the instance and p according to the L₂ norm
  - distanceInf
```
public T distanceInf(FieldVector2D<T> v)
```
    Compute the distance between the instance and another vector according to the L_∞ norm.
    Calling this method is equivalent to calling: q.subtract(p).getNormInf() except that no intermediate vector is built
    
    Parameters:
    
    v - second vector
    
    Returns:
    
    the distance between the instance and p according to the L_∞ norm
  - distanceInf
```
public T distanceInf(Vector2D v)
```
    Compute the distance between the instance and another vector according to the L_∞ norm.
    Calling this method is equivalent to calling: q.subtract(p).getNormInf() except that no intermediate vector is built
    
    Parameters:
    
    v - second vector
    
    Returns:
    
    the distance between the instance and p according to the L_∞ norm
  - distanceSq
```
public T distanceSq(FieldVector2D<T> v)
```
    Compute the square of the distance between the instance and another vector.
    Calling this method is equivalent to calling: q.subtract(p).getNormSq() except that no intermediate vector is built
    
    Parameters:
    
    v - second vector
    
    Returns:
    
    the square of the distance between the instance and p
  - distanceSq
```
public T distanceSq(Vector2D v)
```
    Compute the square of the distance between the instance and another vector.
    Calling this method is equivalent to calling: q.subtract(p).getNormSq() except that no intermediate vector is built
    
    Parameters:
    
    v - second vector
    
    Returns:
    
    the square of the distance between the instance and p
  - dotProduct
```
public T dotProduct(FieldVector2D<T> v)
```
    Compute the dot-product of the instance and another vector.
    The implementation uses specific multiplication and addition algorithms to preserve accuracy and reduce cancellation effects. It should be very accurate even for nearly orthogonal vectors.
    
    Parameters:
    
    v - second vector
    
    Returns:
    
    the dot product this.v
    
    See Also:
    
    MathArrays.linearCombination(double, double, double, double, double, double)
  - dotProduct
```
public T dotProduct(Vector2D v)
```
    Compute the dot-product of the instance and another vector.
    The implementation uses specific multiplication and addition algorithms to preserve accuracy and reduce cancellation effects. It should be very accurate even for nearly orthogonal vectors.
    
    Parameters:
    
    v - second vector
    
    Returns:
    
    the dot product this.v
    
    See Also:
    
    MathArrays.linearCombination(double, double, double, double, double, double)
  - crossProduct
```
public T crossProduct(FieldVector2D<T> p1,
                      FieldVector2D<T> p2)
```
    Compute the cross-product of the instance and the given points.
    The cross product can be used to determine the location of a point with regard to the line formed by (p1, p2) and is calculated as: \[ P = (x_2 - x_1)(y_3 - y_1) - (y_2 - y_1)(x_3 - x_1) \] with \(p3 = (x_3, y_3)\) being this instance.
    If the result is 0, the points are collinear, i.e. lie on a single straight line L; if it is positive, this point lies to the left, otherwise to the right of the line formed by (p1, p2).
    
    Parameters:
    
    p1 - first point of the line
    
    p2 - second point of the line
    
    Returns:
    
    the cross-product
    
    See Also:
    
    Cross product (Wikipedia)
  - crossProduct
```
public T crossProduct(Vector2D p1,
                      Vector2D p2)
```
    Compute the cross-product of the instance and the given points.
    The cross product can be used to determine the location of a point with regard to the line formed by (p1, p2) and is calculated as: \[ P = (x_2 - x_1)(y_3 - y_1) - (y_2 - y_1)(x_3 - x_1) \] with \(p3 = (x_3, y_3)\) being this instance.
    If the result is 0, the points are collinear, i.e. lie on a single straight line L; if it is positive, this point lies to the left, otherwise to the right of the line formed by (p1, p2).
    
    Parameters:
    
    p1 - first point of the line
    
    p2 - second point of the line
    
    Returns:
    
    the cross-product
    
    See Also:
    
    Cross product (Wikipedia)
  - distance1
```
public static <T extends CalculusFieldElement<T>> T distance1(FieldVector2D<T> p1,
                                                              FieldVector2D<T> p2)
```
    Compute the distance between two vectors according to the L₂ norm.
    Calling this method is equivalent to calling: p1.subtract(p2).getNorm() except that no intermediate vector is built
    
    Type Parameters:
    
    T - the type of the field elements
    
    Parameters:
    
    p1 - first vector
    
    p2 - second vector
    
    Returns:
    
    the distance between p1 and p2 according to the L₂ norm
  - distance1
```
public static <T extends CalculusFieldElement<T>> T distance1(FieldVector2D<T> p1,
                                                              Vector2D p2)
```
    Compute the distance between two vectors according to the L₂ norm.
    Calling this method is equivalent to calling: p1.subtract(p2).getNorm() except that no intermediate vector is built
    
    Type Parameters:
    
    T - the type of the field elements
    
    Parameters:
    
    p1 - first vector
    
    p2 - second vector
    
    Returns:
    
    the distance between p1 and p2 according to the L₂ norm
  - distance1
```
public static <T extends CalculusFieldElement<T>> T distance1(Vector2D p1,
                                                              FieldVector2D<T> p2)
```
    Compute the distance between two vectors according to the L₂ norm.
    Calling this method is equivalent to calling: p1.subtract(p2).getNorm() except that no intermediate vector is built
    
    Type Parameters:
    
    T - the type of the field elements
    
    Parameters:
    
    p1 - first vector
    
    p2 - second vector
    
    Returns:
    
    the distance between p1 and p2 according to the L₂ norm
  - distance
```
public static <T extends CalculusFieldElement<T>> T distance(FieldVector2D<T> p1,
                                                             FieldVector2D<T> p2)
```
    Compute the distance between two vectors according to the L₂ norm.
    Calling this method is equivalent to calling: p1.subtract(p2).getNorm() except that no intermediate vector is built
    
    Type Parameters:
    
    T - the type of the field elements
    
    Parameters:
    
    p1 - first vector
    
    p2 - second vector
    
    Returns:
    
    the distance between p1 and p2 according to the L₂ norm
  - distance
```
public static <T extends CalculusFieldElement<T>> T distance(FieldVector2D<T> p1,
                                                             Vector2D p2)
```
    Compute the distance between two vectors according to the L₂ norm.
    Calling this method is equivalent to calling: p1.subtract(p2).getNorm() except that no intermediate vector is built
    
    Type Parameters:
    
    T - the type of the field elements
    
    Parameters:
    
    p1 - first vector
    
    p2 - second vector
    
    Returns:
    
    the distance between p1 and p2 according to the L₂ norm
  - distance
```
public static <T extends CalculusFieldElement<T>> T distance(Vector2D p1,
                                                             FieldVector2D<T> p2)
```
    Compute the distance between two vectors according to the L₂ norm.
    Calling this method is equivalent to calling: p1.subtract(p2).getNorm() except that no intermediate vector is built
    
    Type Parameters:
    
    T - the type of the field elements
    
    Parameters:
    
    p1 - first vector
    
    p2 - second vector
    
    Returns:
    
    the distance between p1 and p2 according to the L₂ norm
  - distanceInf
```
public static <T extends CalculusFieldElement<T>> T distanceInf(FieldVector2D<T> p1,
                                                                FieldVector2D<T> p2)
```
    Compute the distance between two vectors according to the L_∞ norm.
    Calling this method is equivalent to calling: p1.subtract(p2).getNormInf() except that no intermediate vector is built
    
    Type Parameters:
    
    T - the type of the field elements
    
    Parameters:
    
    p1 - first vector
    
    p2 - second vector
    
    Returns:
    
    the distance between p1 and p2 according to the L_∞ norm
  - distanceInf
```
public static <T extends CalculusFieldElement<T>> T distanceInf(FieldVector2D<T> p1,
                                                                Vector2D p2)
```
    Compute the distance between two vectors according to the L_∞ norm.
    Calling this method is equivalent to calling: p1.subtract(p2).getNormInf() except that no intermediate vector is built
    
    Type Parameters:
    
    T - the type of the field elements
    
    Parameters:
    
    p1 - first vector
    
    p2 - second vector
    
    Returns:
    
    the distance between p1 and p2 according to the L_∞ norm
  - distanceInf
```
public static <T extends CalculusFieldElement<T>> T distanceInf(Vector2D p1,
                                                                FieldVector2D<T> p2)
```
    Compute the distance between two vectors according to the L_∞ norm.
    Calling this method is equivalent to calling: p1.subtract(p2).getNormInf() except that no intermediate vector is built
    
    Type Parameters:
    
    T - the type of the field elements
    
    Parameters:
    
    p1 - first vector
    
    p2 - second vector
    
    Returns:
    
    the distance between p1 and p2 according to the L_∞ norm
  - distanceSq
```
public static <T extends CalculusFieldElement<T>> T distanceSq(FieldVector2D<T> p1,
                                                               FieldVector2D<T> p2)
```
    Compute the square of the distance between two vectors.
    Calling this method is equivalent to calling: p1.subtract(p2).getNormSq() except that no intermediate vector is built
    
    Type Parameters:
    
    T - the type of the field elements
    
    Parameters:
    
    p1 - first vector
    
    p2 - second vector
    
    Returns:
    
    the square of the distance between p1 and p2
  - distanceSq
```
public static <T extends CalculusFieldElement<T>> T distanceSq(FieldVector2D<T> p1,
                                                               Vector2D p2)
```
    Compute the square of the distance between two vectors.
    Calling this method is equivalent to calling: p1.subtract(p2).getNormSq() except that no intermediate vector is built
    
    Type Parameters:
    
    T - the type of the field elements
    
    Parameters:
    
    p1 - first vector
    
    p2 - second vector
    
    Returns:
    
    the square of the distance between p1 and p2
  - distanceSq
```
public static <T extends CalculusFieldElement<T>> T distanceSq(Vector2D p1,
                                                               FieldVector2D<T> p2)
```
    Compute the square of the distance between two vectors.
    Calling this method is equivalent to calling: p1.subtract(p2).getNormSq() except that no intermediate vector is built
    
    Type Parameters:
    
    T - the type of the field elements
    
    Parameters:
    
    p1 - first vector
    
    p2 - second vector
    
    Returns:
    
    the square of the distance between p1 and p2
  - orientation
```
public static <T extends CalculusFieldElement<T>> T orientation(FieldVector2D<T> p,
                                                                FieldVector2D<T> q,
                                                                FieldVector2D<T> r)
```
    Compute the orientation of a triplet of points.
    
    Type Parameters:
    
    T - the type of the field elements
    
    Parameters:
    
    p - first vector of the triplet
    
    q - second vector of the triplet
    
    r - third vector of the triplet
    
    Returns:
    
    a positive value if (p, q, r) defines a counterclockwise oriented triangle, a negative value if (p, q, r) defines a clockwise oriented triangle, and 0 if (p, q, r) are collinear or some points are equal
    
    Since:
    
    1.2
  - toString
```
public String toString()
```
    Get a string representation of this vector.
    
    Overrides:
    
    toString in class Object
    
    Returns:
    
    a string representation of this vector
  - toString
```
public String toString(NumberFormat format)
```
    Get a string representation of this vector.
    
    Parameters:
    
    format - the custom format for components
    
    Returns:
    
    a string representation of this vector

Class FieldVector2D<T extends CalculusFieldElement<T>>

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Constructor Detail

FieldVector2D

FieldVector2D

FieldVector2D

FieldVector2D

FieldVector2D

FieldVector2D

FieldVector2D

FieldVector2D

FieldVector2D

FieldVector2D

FieldVector2D

FieldVector2D

FieldVector2D

FieldVector2D

FieldVector2D

Method Detail

getZero

getPlusI

getMinusI

getPlusJ

getMinusJ

getNaN

getPositiveInfinity

getNegativeInfinity

getX

getY

toArray

toVector2D

getNorm1

getNorm

getNormSq

getNormInf

add

add

add

add

add

add

subtract

subtract

subtract

subtract

subtract

subtract

normalize

angle

angle

angle

negate

scalarMultiply

scalarMultiply

isNaN

isInfinite

equals

hashCode

distance1

distance1

distance

distance

distanceInf

distanceInf

distanceSq

distanceSq

dotProduct

dotProduct

crossProduct

crossProduct

distance1

distance1

distance1

distance

distance

distance

distanceInf

distanceInf