org.apache.commons.math3.linear

## Class ArrayFieldVector<T extends FieldElement<T>>

- java.lang.Object
- - org.apache.commons.math3.linear.ArrayFieldVector<T>

- Type Parameters:
    `T` - the type of the field elements
  All Implemented Interfaces:
    Serializable, FieldVector<T>

      public class ArrayFieldVector<T extends FieldElement<T>>
      extends Object
      implements FieldVector<T>, Serializable

  This class implements the `FieldVector` interface with a `FieldElement` array.
  Since:
    2.0
  Version:
    $Id: ArrayFieldVector.java 1416643 2012-12-03 19:37:14Z tn $
  See Also:
    Serialized Form

- - ### Field Summary

    Fields
    Modifier and Type | Field and Description
    --- | ---
    `private T[]` | `data` Entries of the vector.
    `private Field<T>` | `field` Field to which the elements belong.
    `private static long` | `serialVersionUID` Serializable version identifier.

  - ### Constructor Summary

    Constructors
    Constructor and Description
    `ArrayFieldVector(ArrayFieldVector<T> v)` Construct a vector from another vector, using a deep copy.
    `ArrayFieldVector(ArrayFieldVector<T> v1, ArrayFieldVector<T> v2)` Construct a vector by appending one vector to another vector.
    `ArrayFieldVector(ArrayFieldVector<T> v, boolean deep)` Construct a vector from another vector.
    `ArrayFieldVector(ArrayFieldVector<T> v1, T[] v2)` Construct a vector by appending one vector to another vector.
    `ArrayFieldVector(Field<T> field)` Build a 0-length vector.
    `ArrayFieldVector(Field<T> field, int size)` Construct a vector of zeroes.
    `ArrayFieldVector(Field<T> field, T[] d)` Construct a vector from an array, copying the input array.
    `ArrayFieldVector(Field<T> field, T[] d, boolean copyArray)` Create a new ArrayFieldVector using the input array as the underlying data array.
    `ArrayFieldVector(Field<T> field, T[] d, int pos, int size)` Construct a vector from part of a array.
    `ArrayFieldVector(Field<T> field, T[] v1, T[] v2)` Construct a vector by appending one vector to another vector.
    `ArrayFieldVector(FieldVector<T> v)` Construct a vector from another vector, using a deep copy.
    `ArrayFieldVector(int size, T preset)` Construct a vector with preset values.
    `ArrayFieldVector(T[] d)` Construct a vector from an array, copying the input array.
    `ArrayFieldVector(T[] v1, ArrayFieldVector<T> v2)` Construct a vector by appending one vector to another vector.
    `ArrayFieldVector(T[] d, boolean copyArray)` Create a new ArrayFieldVector using the input array as the underlying data array.
    `ArrayFieldVector(T[] d, int pos, int size)` Construct a vector from part of a array.
    `ArrayFieldVector(T[] v1, T[] v2)` Construct a vector by appending one vector to another vector.

  - ### Method Summary

    Methods
    Modifier and Type | Method and Description
    --- | ---
    `ArrayFieldVector<T>` | `add(ArrayFieldVector<T> v)` Compute the sum of `this` and `v`.
    `FieldVector<T>` | `add(FieldVector<T> v)` Compute the sum of `this` and `v`.
    `ArrayFieldVector<T>` | `append(ArrayFieldVector<T> v)` Construct a vector by appending a vector to this vector.
    `FieldVector<T>` | `append(FieldVector<T> v)` Construct a vector by appending a vector to this vector.
    `FieldVector<T>` | `append(T in)` Construct a vector by appending a T to this vector.
    `private T[]` | `buildArray(int length)` Build an array of elements.
    `private void` | `checkIndex(int index)` Check if an index is valid.
    `protected void` | `checkVectorDimensions(FieldVector<T> v)` Check if instance and specified vectors have the same dimension.
    `protected void` | `checkVectorDimensions(int n)` Check if instance dimension is equal to some expected value.
    `FieldVector<T>` | `copy()` Returns a (deep) copy of this.
    `T` | `dotProduct(ArrayFieldVector<T> v)` Compute the dot product.
    `T` | `dotProduct(FieldVector<T> v)` Compute the dot product.
    `ArrayFieldVector<T>` | `ebeDivide(ArrayFieldVector<T> v)` Element-by-element division.
    `FieldVector<T>` | `ebeDivide(FieldVector<T> v)` Element-by-element division.
    `ArrayFieldVector<T>` | `ebeMultiply(ArrayFieldVector<T> v)` Element-by-element multiplication.
    `FieldVector<T>` | `ebeMultiply(FieldVector<T> v)` Element-by-element multiplication.
    `boolean` | `equals(Object other)` Test for the equality of two vectors.
    `T[]` | `getData()` Returns vector entries as a T array.
    `T[]` | `getDataRef()` Returns a reference to the underlying data array.
    `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.
    `int` | `hashCode()` Get a hashCode for the real vector.
    `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(ArrayFieldVector<T> v)` Compute the outer product.
    `FieldMatrix<T>` | `outerProduct(FieldVector<T> v)` Compute the outer product.
    `ArrayFieldVector<T>` | `projection(ArrayFieldVector<T> v)` Find the orthogonal projection of this vector onto another vector.
    `FieldVector<T>` | `projection(FieldVector<T> v)` Find the orthogonal projection of this vector onto another vector.
    `void` | `set(int index, ArrayFieldVector<T> v)` Set a set of consecutive elements.
    `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.
    `ArrayFieldVector<T>` | `subtract(ArrayFieldVector<T> v)` Compute `this` minus `v`.
    `FieldVector<T>` | `subtract(FieldVector<T> v)` Compute `this` minus `v`.
    `T[]` | `toArray()` Convert the vector to a T array.

    - ### Methods inherited from class java.lang.Object

      `clone, finalize, getClass, notify, notifyAll, toString, wait, wait, wait`

- - ### Field Detail

    - #### serialVersionUID

          private static final long serialVersionUID

      Serializable version identifier.
      See Also:
        Constant Field Values

    - #### data

          private T extends FieldElement<T>[] data

      Entries of the vector.

    - #### field

          private final Field<T extends FieldElement<T>> field

      Field to which the elements belong.

  - ### Constructor Detail

    - #### ArrayFieldVector

          public ArrayFieldVector(Field<T> field)

      Build a 0-length vector. Zero-length vectors may be used to initialize construction of vectors by data gathering. We start with zero-length and use either the `ArrayFieldVector(ArrayFieldVector, ArrayFieldVector)` constructor or one of the `append` methods (`add(FieldVector)` or `append(ArrayFieldVector)`) to gather data into this vector.
      Parameters:
        `field` - field to which the elements belong

    - #### ArrayFieldVector

          public ArrayFieldVector(Field<T> field,
                          int size)

      Construct a vector of zeroes.
      Parameters:
        `field` - Field to which the elements belong.
        `size` - Size of the vector.

    - #### ArrayFieldVector

          public ArrayFieldVector(int size,
                          T preset)

      Construct a vector with preset values.
      Parameters:
        `size` - Size of the vector.
        `preset` - All entries will be set with this value.

    - #### ArrayFieldVector

          public ArrayFieldVector(T[] d)
                           throws NullArgumentException,
                                  ZeroException

      Construct a vector from an array, copying the input array. This constructor needs a non-empty `d` array to retrieve the field from its first element. This implies it cannot build 0 length vectors. To build vectors from any size, one should use the `ArrayFieldVector(Field, FieldElement[])` constructor.
      Parameters:
        `d` - Array.
      Throws:
        `NullArgumentException` - if `d` is `null`.
        `ZeroException` - if `d` is empty.
      See Also:
        `ArrayFieldVector(Field, FieldElement[])`

    - #### ArrayFieldVector

          public ArrayFieldVector(Field<T> field,
                          T[] d)
                           throws NullArgumentException

      Construct a vector from an array, copying the input array.
      Parameters:
        `field` - Field to which the elements belong.
        `d` - Array.
      Throws:
        `NullArgumentException` - if `d` is `null`.
      See Also:
        `ArrayFieldVector(FieldElement[])`

    - #### ArrayFieldVector

          public ArrayFieldVector(T[] d,
                          boolean copyArray)
                           throws NullArgumentException,
                                  ZeroException

      Create a new ArrayFieldVector using the input array as the underlying data array. If an array is built specially in order to be embedded in a ArrayFieldVector and not used directly, the `copyArray` may be set to `false`. This will prevent the copying and improve performance as no new array will be built and no data will be copied. This constructor needs a non-empty `d` array to retrieve the field from its first element. This implies it cannot build 0 length vectors. To build vectors from any size, one should use the `ArrayFieldVector(Field, FieldElement[], boolean)` constructor.
      Parameters:
        `d` - Data for the new vector.
        `copyArray` - If `true`, the input array will be copied, otherwise it will be referenced.
      Throws:
        `NullArgumentException` - if `d` is `null`.
        `ZeroException` - if `d` is empty.
      See Also:
        `ArrayFieldVector(FieldElement[])`, `ArrayFieldVector(Field, FieldElement[], boolean)`

    - #### ArrayFieldVector

          public ArrayFieldVector(Field<T> field,
                          T[] d,
                          boolean copyArray)
                           throws NullArgumentException

      Create a new ArrayFieldVector using the input array as the underlying data array. If an array is built specially in order to be embedded in a ArrayFieldVector and not used directly, the `copyArray` may be set to `false`. This will prevent the copying and improve performance as no new array will be built and no data will be copied.
      Parameters:
        `field` - Field to which the elements belong.
        `d` - Data for the new vector.
        `copyArray` - If `true`, the input array will be copied, otherwise it will be referenced.
      Throws:
        `NullArgumentException` - if `d` is `null`.
      See Also:
        `ArrayFieldVector(FieldElement[], boolean)`

    - #### ArrayFieldVector

          public ArrayFieldVector(T[] d,
                          int pos,
                          int size)
                           throws NullArgumentException,
                                  NumberIsTooLargeException

      Construct a vector from part of a array.
      Parameters:
        `d` - Array.
        `pos` - Position of the first entry.
        `size` - Number of entries to copy.
      Throws:
        `NullArgumentException` - if `d` is `null`.
        `NumberIsTooLargeException` - if the size of `d` is less than `pos + size`.

    - #### ArrayFieldVector

          public ArrayFieldVector(Field<T> field,
                          T[] d,
                          int pos,
                          int size)
                           throws NullArgumentException,
                                  NumberIsTooLargeException

      Construct a vector from part of a array.
      Parameters:
        `field` - Field to which the elements belong.
        `d` - Array.
        `pos` - Position of the first entry.
        `size` - Number of entries to copy.
      Throws:
        `NullArgumentException` - if `d` is `null`.
        `NumberIsTooLargeException` - if the size of `d` is less than `pos + size`.

    - #### ArrayFieldVector

          public ArrayFieldVector(FieldVector<T> v)
                           throws NullArgumentException

      Construct a vector from another vector, using a deep copy.
      Parameters:
        `v` - Vector to copy.
      Throws:
        `NullArgumentException` - if `v` is `null`.

    - #### ArrayFieldVector

          public ArrayFieldVector(ArrayFieldVector<T> v)
                           throws NullArgumentException

      Construct a vector from another vector, using a deep copy.
      Parameters:
        `v` - Vector to copy.
      Throws:
        `NullArgumentException` - if `v` is `null`.

    - #### ArrayFieldVector

          public ArrayFieldVector(ArrayFieldVector<T> v,
                          boolean deep)
                           throws NullArgumentException

      Construct a vector from another vector.
      Parameters:
        `v` - Vector to copy.
        `deep` - If `true` perform a deep copy, otherwise perform a shallow copy
      Throws:
        `NullArgumentException` - if `v` is `null`.

    - #### ArrayFieldVector

          public ArrayFieldVector(ArrayFieldVector<T> v1,
                          ArrayFieldVector<T> v2)
                           throws NullArgumentException

      Construct a vector by appending one vector to another vector.
      Parameters:
        `v1` - First vector (will be put in front of the new vector).
        `v2` - Second vector (will be put at back of the new vector).
      Throws:
        `NullArgumentException` - if `v1` or `v2` is `null`.

    - #### ArrayFieldVector

          public ArrayFieldVector(ArrayFieldVector<T> v1,
                          T[] v2)
                           throws NullArgumentException

      Construct a vector by appending one vector to another vector.
      Parameters:
        `v1` - First vector (will be put in front of the new vector).
        `v2` - Second vector (will be put at back of the new vector).
      Throws:
        `NullArgumentException` - if `v1` or `v2` is `null`.

    - #### ArrayFieldVector

          public ArrayFieldVector(T[] v1,
                          ArrayFieldVector<T> v2)
                           throws NullArgumentException

      Construct a vector by appending one vector to another vector.
      Parameters:
        `v1` - First vector (will be put in front of the new vector).
        `v2` - Second vector (will be put at back of the new vector).
      Throws:
        `NullArgumentException` - if `v1` or `v2` is `null`.

    - #### ArrayFieldVector

          public ArrayFieldVector(T[] v1,
                          T[] v2)
                           throws NullArgumentException,
                                  ZeroException

      Construct a vector by appending one vector to another vector. This constructor needs at least one non-empty array to retrieve the field from its first element. This implies it cannot build 0 length vectors. To build vectors from any size, one should use the `ArrayFieldVector(Field, FieldElement[], FieldElement[])` constructor.
      Parameters:
        `v1` - First vector (will be put in front of the new vector).
        `v2` - Second vector (will be put at back of the new vector).
      Throws:
        `NullArgumentException` - if `v1` or `v2` is `null`.
        `ZeroException` - if both arrays are empty.
      See Also:
        `ArrayFieldVector(Field, FieldElement[], FieldElement[])`

    - #### ArrayFieldVector

          public ArrayFieldVector(Field<T> field,
                          T[] v1,
                          T[] v2)
                           throws NullArgumentException,
                                  ZeroException

      Construct a vector by appending one vector to another vector.
      Parameters:
        `field` - Field to which the elements belong.
        `v1` - First vector (will be put in front of the new vector).
        `v2` - Second vector (will be put at back of the new vector).
      Throws:
        `NullArgumentException` - if `v1` or `v2` is `null`.
        `ZeroException` - if both arrays are empty.
      See Also:
        `ArrayFieldVector(FieldElement[], FieldElement[])`

  - ### Method Detail

    - #### buildArray

          private T[] buildArray(int length)

      Build an array of elements.
      Parameters:
        `length` - Size of the array to build.
      Returns:
        a new array.

    - #### getField

          public Field<T> getField()

      Get the type of field elements of the vector.
      Specified by:
        `getField` in interface `FieldVector<T extends FieldElement<T>>`
      Returns:
        type of field elements of the vector

    - #### copy

          public FieldVector<T> copy()

      Returns a (deep) copy of this.
      Specified by:
        `copy` in interface `FieldVector<T extends FieldElement<T>>`
      Returns:
        vector copy

    - #### add

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

      Compute the sum of `this` and `v`.
      Specified by:
        `add` in interface `FieldVector<T extends FieldElement<T>>`
      Parameters:
        `v` - vector to be added
      Returns:
        `this + v`
      Throws:
        `DimensionMismatchException` - if `v` is not the same size as `this`

    - #### add

          public ArrayFieldVector<T> add(ArrayFieldVector<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

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

      Compute `this` minus `v`.
      Specified by:
        `subtract` in interface `FieldVector<T extends FieldElement<T>>`
      Parameters:
        `v` - vector to be subtracted
      Returns:
        `this - v`
      Throws:
        `DimensionMismatchException` - if `v` is not the same size as `this`

    - #### subtract

          public ArrayFieldVector<T> subtract(ArrayFieldVector<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

          public FieldVector<T> mapAdd(T d)
                                                        throws NullArgumentException

      Map an addition operation to each entry.
      Specified by:
        `mapAdd` in interface `FieldVector<T extends FieldElement<T>>`
      Parameters:
        `d` - value to be added to each entry
      Returns:
        `this + d`
      Throws:
        `NullArgumentException` - if `d` is `null`.

    - #### mapAddToSelf

          public FieldVector<T> mapAddToSelf(T d)
                                                              throws NullArgumentException

      Map an addition operation to each entry.

      The instance is changed by this method.

      Specified by:
        `mapAddToSelf` in interface `FieldVector<T extends FieldElement<T>>`
      Parameters:
        `d` - value to be added to each entry
      Returns:
        for convenience, return `this`
      Throws:
        `NullArgumentException` - if `d` is `null`.

    - #### mapSubtract

          public FieldVector<T> mapSubtract(T d)
                                                             throws NullArgumentException

      Map a subtraction operation to each entry.
      Specified by:
        `mapSubtract` in interface `FieldVector<T extends FieldElement<T>>`
      Parameters:
        `d` - value to be subtracted to each entry
      Returns:
        `this - d`
      Throws:
        `NullArgumentException` - if `d` is `null`

    - #### mapSubtractToSelf

          public FieldVector<T> mapSubtractToSelf(T d)
                                                                   throws NullArgumentException

      Map a subtraction operation to each entry.

      The instance is changed by this method.

      Specified by:
        `mapSubtractToSelf` in interface `FieldVector<T extends FieldElement<T>>`
      Parameters:
        `d` - value to be subtracted to each entry
      Returns:
        for convenience, return `this`
      Throws:
        `NullArgumentException` - if `d` is `null`

    - #### mapMultiply

          public FieldVector<T> mapMultiply(T d)
                                                             throws NullArgumentException

      Map a multiplication operation to each entry.
      Specified by:
        `mapMultiply` in interface `FieldVector<T extends FieldElement<T>>`
      Parameters:
        `d` - value to multiply all entries by
      Returns:
        `this * d`
      Throws:
        `NullArgumentException` - if `d` is `null`.

    - #### mapMultiplyToSelf

          public FieldVector<T> mapMultiplyToSelf(T d)
                                                                   throws NullArgumentException

      Map a multiplication operation to each entry.

      The instance is changed by this method.

      Specified by:
        `mapMultiplyToSelf` in interface `FieldVector<T extends FieldElement<T>>`
      Parameters:
        `d` - value to multiply all entries by
      Returns:
        for convenience, return `this`
      Throws:
        `NullArgumentException` - if `d` is `null`.

    - #### mapDivide

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

      Map a division operation to each entry.
      Specified by:
        `mapDivide` in interface `FieldVector<T extends FieldElement<T>>`
      Parameters:
        `d` - value to divide all entries by
      Returns:
        `this / d`
      Throws:
        `NullArgumentException` - if `d` is `null`.
        `MathArithmeticException` - if `d` is zero.

    - #### mapDivideToSelf

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

      Map a division operation to each entry.

      The instance is changed by this method.

      Specified by:
        `mapDivideToSelf` in interface `FieldVector<T extends FieldElement<T>>`
      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

          public FieldVector<T> mapInv()
                                                        throws MathArithmeticException

      Map the 1/x function to each entry.
      Specified by:
        `mapInv` in interface `FieldVector<T extends FieldElement<T>>`
      Returns:
        a vector containing the result of applying the function to each entry.
      Throws:
        `MathArithmeticException` - if one of the entries is zero.

    - #### mapInvToSelf

          public FieldVector<T> mapInvToSelf()
                                                              throws MathArithmeticException

      Map the 1/x function to each entry.

      The instance is changed by this method.

      Specified by:
        `mapInvToSelf` in interface `FieldVector<T extends FieldElement<T>>`
      Returns:
        for convenience, return `this`
      Throws:
        `MathArithmeticException` - if one of the entries is zero.

    - #### ebeMultiply

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

      Element-by-element multiplication.
      Specified by:
        `ebeMultiply` in interface `FieldVector<T extends FieldElement<T>>`
      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`

    - #### ebeMultiply

          public ArrayFieldVector<T> ebeMultiply(ArrayFieldVector<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

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

      Element-by-element division.
      Specified by:
        `ebeDivide` in interface `FieldVector<T extends FieldElement<T>>`
      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.

    - #### ebeDivide

          public ArrayFieldVector<T> ebeDivide(ArrayFieldVector<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

          public T[] getData()

      Returns vector entries as a T array.
      Specified by:
        `getData` in interface `FieldVector<T extends FieldElement<T>>`
      Returns:
        T array of entries

    - #### getDataRef

          public T[] getDataRef()

      Returns a reference to the underlying data array.

      Does not make a fresh copy of the underlying data.

      Returns:
        array of entries

    - #### dotProduct

          public T dotProduct(FieldVector<T> v)
                                               throws DimensionMismatchException

      Compute the dot product.
      Specified by:
        `dotProduct` in interface `FieldVector<T extends FieldElement<T>>`
      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`

    - #### dotProduct

          public T dotProduct(ArrayFieldVector<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

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

      Find the orthogonal projection of this vector onto another vector.
      Specified by:
        `projection` in interface `FieldVector<T extends FieldElement<T>>`
      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.

    - #### projection

          public ArrayFieldVector<T> projection(ArrayFieldVector<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

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

      Compute the outer product.
      Specified by:
        `outerProduct` in interface `FieldVector<T extends FieldElement<T>>`
      Parameters:
        `v` - vector with which outer product should be computed
      Returns:
        the matrix outer product between instance and v

    - #### outerProduct

          public FieldMatrix<T> outerProduct(ArrayFieldVector<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

          public T getEntry(int index)

      Returns the entry in the specified index.
      Specified by:
        `getEntry` in interface `FieldVector<T extends FieldElement<T>>`
      Parameters:
        `index` - Index location of entry to be fetched.
      Returns:
        the vector entry at `index`.
      See Also:
        `FieldVector.setEntry(int, FieldElement)`

    - #### getDimension

          public int getDimension()

      Returns the size of the vector.
      Specified by:
        `getDimension` in interface `FieldVector<T extends FieldElement<T>>`
      Returns:
        size

    - #### append

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

      Construct a vector by appending a vector to this vector.
      Specified by:
        `append` in interface `FieldVector<T extends FieldElement<T>>`
      Parameters:
        `v` - vector to append to this one.
      Returns:
        a new vector

    - #### append

          public ArrayFieldVector<T> append(ArrayFieldVector<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

          public FieldVector<T> append(T in)

      Construct a vector by appending a T to this vector.
      Specified by:
        `append` in interface `FieldVector<T extends FieldElement<T>>`
      Parameters:
        `in` - T to append.
      Returns:
        a new vector

    - #### getSubVector

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

      Get a subvector from consecutive elements.
      Specified by:
        `getSubVector` in interface `FieldVector<T extends FieldElement<T>>`
      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.

    - #### setEntry

          public void setEntry(int index,
                      T value)

      Set a single element.
      Specified by:
        `setEntry` in interface `FieldVector<T extends FieldElement<T>>`
      Parameters:
        `index` - element index.
        `value` - new value for the element.
      See Also:
        `FieldVector.getEntry(int)`

    - #### setSubVector

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

      Set a set of consecutive elements.
      Specified by:
        `setSubVector` in interface `FieldVector<T extends FieldElement<T>>`
      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

          public void set(int index,
                 ArrayFieldVector<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 invalid.

    - #### set

          public void set(T value)

      Set all elements to a single value.
      Specified by:
        `set` in interface `FieldVector<T extends FieldElement<T>>`
      Parameters:
        `value` - single value to set for all elements

    - #### toArray

          public T[] toArray()

      Convert the vector to a T array.

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

      Specified by:
        `toArray` in interface `FieldVector<T extends FieldElement<T>>`
      Returns:
        array containing a copy of vector elements

    - #### checkVectorDimensions

          protected void checkVectorDimensions(FieldVector<T> v)
                                        throws DimensionMismatchException

      Check if instance and specified vectors have the same dimension.
      Parameters:
        `v` - vector to compare instance with
      Throws:
        `DimensionMismatchException` - if the vectors do not have the same dimensions

    - #### checkVectorDimensions

          protected void checkVectorDimensions(int n)
                                        throws DimensionMismatchException

      Check if instance dimension is equal to some expected value.
      Parameters:
        `n` - Expected dimension.
      Throws:
        `DimensionMismatchException` - if the dimension is not equal to the size of `this` vector.

    - #### equals

          public boolean equals(Object other)

      Test for the equality of two vectors.
      Overrides:
        `equals` in class `Object`
      Parameters:
        `other` - Object to test for equality.
      Returns:
        `true` if two vector objects are equal, `false` otherwise.

    - #### hashCode

          public int hashCode()

      Get a hashCode for the real vector.

      All NaN values have the same hash code.

      Overrides:
        `hashCode` in class `Object`
      Returns:
        a hash code value for this object

    - #### checkIndex

          private void checkIndex(int index)
                           throws OutOfRangeException

      Check if an index is valid.
      Parameters:
        `index` - Index to check.
      Throws:
        `OutOfRangeException` - if the index is not valid.

Copyright (c) 2003-2013 Apache Software Foundation