org.apache.commons.math3.linear

## Interface FieldVector<T extends FieldElement<T>>

Type Parameters:
  `T` - the type of the field elements

All Known Implementing Classes:
  ArrayFieldVector, SparseFieldVector

    public interface FieldVector<T extends FieldElement<T>>

Interface defining a field-valued vector with basic algebraic operations.

vector element indexing is 0-based -- e.g., `getEntry(0)` returns the first element of the vector.

The various `mapXxx` and `mapXxxToSelf` methods operate on vectors element-wise, i.e. they perform the same operation (adding a scalar, applying a function ...) on each element in turn. The `mapXxx` versions create a new vector to hold the result and do not change the instance. The `mapXxxToSelf` versions use the instance itself to store the results, so the instance is changed by these methods. In both cases, the result vector is returned by the methods, this allows to use the fluent API style, like this:

       RealVector result = v.mapAddToSelf(3.0).mapTanToSelf().mapSquareToSelf();

Since:
  2.0
Version:
  $Id: FieldVector.java 1416643 2012-12-03 19:37:14Z tn $

### Method Summary

Methods
`FieldVector<T>` `add(FieldVector<T> v)` Compute the sum of `this` and `v`.
`FieldVector<T>` `append(FieldVector<T> v)` Construct a vector by appending a vector to this vector.
`FieldVector<T>` `append(T d)` Construct a vector by appending a T to this vector.
`FieldVector<T>` `copy()` Returns a (deep) copy of this.
`T` `dotProduct(FieldVector<T> v)` Compute the dot product.
`FieldVector<T>` `ebeDivide(FieldVector<T> v)` Element-by-element division.
`FieldVector<T>` `ebeMultiply(FieldVector<T> v)` Element-by-element multiplication.
`T[]` `getData()` Deprecated. as of 3.1, to be removed in 4.0. Please use the `toArray()` method instead.
`int` `getDimension()` Returns the size of the vector.
`T` `getEntry(int index)` Returns the entry in the specified index.
`Field<T>` `getField()` Get the type of field elements of the vector.
`FieldVector<T>` `getSubVector(int index, int n)` Get a subvector from consecutive elements.
`FieldVector<T>` `mapAdd(T d)` Map an addition operation to each entry.
`FieldVector<T>` `mapAddToSelf(T d)` Map an addition operation to each entry.
`FieldVector<T>` `mapDivide(T d)` Map a division operation to each entry.
`FieldVector<T>` `mapDivideToSelf(T d)` Map a division operation to each entry.
`FieldVector<T>` `mapInv()` Map the 1/x function to each entry.
`FieldVector<T>` `mapInvToSelf()` Map the 1/x function to each entry.
`FieldVector<T>` `mapMultiply(T d)` Map a multiplication operation to each entry.
`FieldVector<T>` `mapMultiplyToSelf(T d)` Map a multiplication operation to each entry.
`FieldVector<T>` `mapSubtract(T d)` Map a subtraction operation to each entry.
`FieldVector<T>` `mapSubtractToSelf(T d)` Map a subtraction operation to each entry.
`FieldMatrix<T>` `outerProduct(FieldVector<T> v)` Compute the outer product.
`FieldVector<T>` `projection(FieldVector<T> v)` Find the orthogonal projection of this vector onto another vector.
`void` `set(T value)` Set all elements to a single value.
`void` `setEntry(int index, T value)` Set a single element.
`void` `setSubVector(int index, FieldVector<T> v)` Set a set of consecutive elements.
`FieldVector<T>` `subtract(FieldVector<T> v)` Compute `this` minus `v`.
`T[]` `toArray()` Convert the vector to a T array.

### Method Detail

#### getField

    Field<T> getField()

Get the type of field elements of the vector.

Returns:
  type of field elements of the vector

#### copy

    FieldVector<T> copy()

Returns a (deep) copy of this.

Returns:
  vector copy

#### add

    FieldVector<T> add(FieldVector<T> v)
                                               throws DimensionMismatchException

Compute the sum of `this` and `v`.

Parameters:
  `v` - vector to be added
Returns:
  `this + v`
Throws:
  `DimensionMismatchException` - if `v` is not the same size as `this`

#### subtract

    FieldVector<T> subtract(FieldVector<T> v)
                                                    throws DimensionMismatchException

Compute `this` minus `v`.

Parameters:
  `v` - vector to be subtracted
Returns:
  `this - v`
Throws:
  `DimensionMismatchException` - if `v` is not the same size as `this`

#### mapAdd

    FieldVector<T> mapAdd(T d)
                                                  throws NullArgumentException

Map an addition operation to each entry.

Parameters:
  `d` - value to be added to each entry
Returns:
  `this + d`
Throws:
  `NullArgumentException` - if `d` is `null`.

#### mapAddToSelf

    FieldVector<T> mapAddToSelf(T d)
                                                        throws NullArgumentException

Map an addition operation to each entry.

The instance is changed by this method.

Parameters:
  `d` - value to be added to each entry
Returns:
  for convenience, return `this`
Throws:
  `NullArgumentException` - if `d` is `null`.

#### mapSubtract

    FieldVector<T> mapSubtract(T d)
                                                       throws NullArgumentException

Map a subtraction operation to each entry.

Parameters:
  `d` - value to be subtracted to each entry
Returns:
  `this - d`
Throws:
  `NullArgumentException` - if `d` is `null`

#### mapSubtractToSelf

    FieldVector<T> mapSubtractToSelf(T d)
                                                             throws NullArgumentException

Map a subtraction operation to each entry.

The instance is changed by this method.

Parameters:
  `d` - value to be subtracted to each entry
Returns:
  for convenience, return `this`
Throws:
  `NullArgumentException` - if `d` is `null`

#### mapMultiply

    FieldVector<T> mapMultiply(T d)
                                                       throws NullArgumentException

Map a multiplication operation to each entry.

Parameters:
  `d` - value to multiply all entries by
Returns:
  `this * d`
Throws:
  `NullArgumentException` - if `d` is `null`.

#### mapMultiplyToSelf

    FieldVector<T> mapMultiplyToSelf(T d)
                                                             throws NullArgumentException

Map a multiplication operation to each entry.

The instance is changed by this method.

Parameters:
  `d` - value to multiply all entries by
Returns:
  for convenience, return `this`
Throws:
  `NullArgumentException` - if `d` is `null`.

#### mapDivide

    FieldVector<T> mapDivide(T d)
                                                     throws NullArgumentException,
                                                            MathArithmeticException

Map a division operation to each entry.

Parameters:
  `d` - value to divide all entries by
Returns:
  `this / d`
Throws:
  `NullArgumentException` - if `d` is `null`.
  `MathArithmeticException` - if `d` is zero.

#### mapDivideToSelf

    FieldVector<T> mapDivideToSelf(T d)
                                                           throws NullArgumentException,
                                                                  MathArithmeticException

Map a division operation to each entry.

The instance is changed by this method.

Parameters:
  `d` - value to divide all entries by
Returns:
  for convenience, return `this`
Throws:
  `NullArgumentException` - if `d` is `null`.
  `MathArithmeticException` - if `d` is zero.

#### mapInv

    FieldVector<T> mapInv()
                                                  throws MathArithmeticException

Map the 1/x function to each entry.

Returns:
  a vector containing the result of applying the function to each entry.
Throws:
  `MathArithmeticException` - if one of the entries is zero.

#### mapInvToSelf

    FieldVector<T> mapInvToSelf()
                                                        throws MathArithmeticException

Map the 1/x function to each entry.

The instance is changed by this method.

Returns:
  for convenience, return `this`
Throws:
  `MathArithmeticException` - if one of the entries is zero.

#### ebeMultiply

    FieldVector<T> ebeMultiply(FieldVector<T> v)
                                                       throws DimensionMismatchException

Element-by-element multiplication.

Parameters:
  `v` - vector by which instance elements must be multiplied
Returns:
  a vector containing `this[i] * v[i]` for all `i`
Throws:
  `DimensionMismatchException` - if `v` is not the same size as `this`

#### ebeDivide

    FieldVector<T> ebeDivide(FieldVector<T> v)
                                                     throws DimensionMismatchException,
                                                            MathArithmeticException

Element-by-element division.

Parameters:
  `v` - vector by which instance elements must be divided
Returns:
  a vector containing `this[i] / v[i]` for all `i`
Throws:
  `DimensionMismatchException` - if `v` is not the same size as `this`
  `MathArithmeticException` - if one entry of `v` is zero.

#### getData

    @Deprecated
    T[] getData()

Deprecated. as of 3.1, to be removed in 4.0. Please use the `toArray()` method instead.
Returns vector entries as a T array.

Returns:
  T array of entries

#### dotProduct

    T dotProduct(FieldVector<T> v)
                                         throws DimensionMismatchException

Compute the dot product.

Parameters:
  `v` - vector with which dot product should be computed
Returns:
  the scalar dot product of `this` and `v`
Throws:
  `DimensionMismatchException` - if `v` is not the same size as `this`

#### projection

    FieldVector<T> projection(FieldVector<T> v)
                                                      throws DimensionMismatchException,
                                                             MathArithmeticException

Find the orthogonal projection of this vector onto another vector.

Parameters:
  `v` - vector onto which `this` must be projected
Returns:
  projection of `this` onto `v`
Throws:
  `DimensionMismatchException` - if `v` is not the same size as `this`
  `MathArithmeticException` - if `v` is the null vector.

#### outerProduct

    FieldMatrix<T> outerProduct(FieldVector<T> v)

Compute the outer product.

Parameters:
  `v` - vector with which outer product should be computed
Returns:
  the matrix outer product between instance and v

#### getEntry

    T getEntry(int index)
                                       throws OutOfRangeException

Returns the entry in the specified index.

Parameters:
  `index` - Index location of entry to be fetched.
Returns:
  the vector entry at `index`.
Throws:
  `OutOfRangeException` - if the index is not valid.
See Also:
  `setEntry(int, FieldElement)`

#### setEntry

    void setEntry(int index,
                T value)
                  throws OutOfRangeException

Set a single element.

Parameters:
  `index` - element index.
  `value` - new value for the element.
Throws:
  `OutOfRangeException` - if the index is not valid.
See Also:
  `getEntry(int)`

#### getDimension

    int getDimension()

Returns the size of the vector.

Returns:
  size

#### append

    FieldVector<T> append(FieldVector<T> v)

Construct a vector by appending a vector to this vector.

Parameters:
  `v` - vector to append to this one.
Returns:
  a new vector

#### append

    FieldVector<T> append(T d)

Construct a vector by appending a T to this vector.

Parameters:
  `d` - T to append.
Returns:
  a new vector

#### getSubVector

    FieldVector<T> getSubVector(int index,
                              int n)
                                                        throws OutOfRangeException,
                                                               NotPositiveException

Get a subvector from consecutive elements.

Parameters:
  `index` - index of first element.
  `n` - number of elements to be retrieved.
Returns:
  a vector containing n elements.
Throws:
  `OutOfRangeException` - if the index is not valid.
  `NotPositiveException` - if the number of elements if not positive.

#### setSubVector

    void setSubVector(int index,
                    FieldVector<T> v)
                      throws OutOfRangeException

Set a set of consecutive elements.

Parameters:
  `index` - index of first element to be set.
  `v` - vector containing the values to set.
Throws:
  `OutOfRangeException` - if the index is not valid.

#### set

    void set(T value)

Set all elements to a single value.

Parameters:
  `value` - single value to set for all elements

#### toArray

    T[] toArray()

Convert the vector to a T array.

The array is independent from vector data, it's elements are copied.

Returns:
  array containing a copy of vector elements