Package org.apache.commons.math.linear

Class ArrayFieldVector<T extends FieldElement<T>>

  • Type Parameters:
    T - the type of the field elements
    All Implemented Interfaces:
    java.io.Serializable, FieldVector<T>
    public class ArrayFieldVector<T extends FieldElement<T>>
extends java.lang.Object
implements FieldVector<T>, java.io.Serializable
    This class implements the FieldVector interface with a FieldElement array.
    Since:
    2.0
    Version:
    $Revision: 1003997 $ $Date: 2010-10-03 18:45:55 +0200 (dim. 03 oct. 2010) $
    See Also:
    Serialized Form

    • Field Detail

      • data

        protected T extends FieldElement<T>[] data
        Entries of the vector.

    • Constructor Detail

      • ArrayFieldVector

        public ArrayFieldVector​(Field<T> field,
                        int size)
        Construct a (size)-length vector of zeros.
        Parameters:
        field - field to which the elements belong
        size - size of the vector

      • ArrayFieldVector

        public ArrayFieldVector​(int size,
                        T preset)
        Construct an (size)-length vector with preset values.
        Parameters:
        size - size of the vector
        preset - fill the vector with this scalar value

      • ArrayFieldVector

        public ArrayFieldVector​(T[] d)
                 throws java.lang.IllegalArgumentException
        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 of Ts.
        Throws:
        java.lang.IllegalArgumentException - if d is empty
        See Also:
        ArrayFieldVector(Field, FieldElement[])

      • ArrayFieldVector

        public ArrayFieldVector​(Field<T> field,
                        T[] d)
        Construct a vector from an array, copying the input array.
        Parameters:
        field - field to which the elements belong
        d - array of Ts.
        See Also:
        ArrayFieldVector(FieldElement[])

      • ArrayFieldVector

        public ArrayFieldVector​(T[] d,
                        boolean copyArray)
                 throws java.lang.NullPointerException,
                        java.lang.IllegalArgumentException
        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 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 new vector
        copyArray - if true, the input array will be copied, otherwise it will be referenced
        Throws:
        java.lang.IllegalArgumentException - if d is empty
        java.lang.NullPointerException - if d is null
        See Also:
        ArrayFieldVector(FieldElement[]), ArrayFieldVector(Field, FieldElement[], boolean)

      • ArrayFieldVector

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

        Parameters:
        field - field to which the elements belong
        d - data for new vector
        copyArray - if true, the input array will be copied, otherwise it will be referenced
        See Also:
        ArrayFieldVector(FieldElement[], boolean)

      • ArrayFieldVector

        public ArrayFieldVector​(T[] d,
                        int pos,
                        int size)
        Construct a vector from part of a array.
        Parameters:
        d - array of Ts.
        pos - position of first entry
        size - number of entries to copy

      • ArrayFieldVector

        public ArrayFieldVector​(FieldVector<T> v)
        Construct a vector from another vector, using a deep copy.
        Parameters:
        v - vector to copy

      • ArrayFieldVector

        public ArrayFieldVector​(ArrayFieldVector<T> v)
        Construct a vector from another vector, using a deep copy.
        Parameters:
        v - vector to copy

      • ArrayFieldVector

        public ArrayFieldVector​(ArrayFieldVector<T> v,
                        boolean deep)
        Construct a vector from another vector.
        Parameters:
        v - vector to copy
        deep - if true perform a deep copy otherwise perform a shallow copy

      • ArrayFieldVector

        public ArrayFieldVector​(ArrayFieldVector<T> v1,
                        ArrayFieldVector<T> v2)
        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)

      • ArrayFieldVector

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

      • ArrayFieldVector

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

      • ArrayFieldVector

        public ArrayFieldVector​(T[] v1,
                        T[] v2)
        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:
        java.lang.IllegalArgumentException - if both vectors are empty
        See Also:
        ArrayFieldVector(Field, FieldElement[], FieldElement[])

      • ArrayFieldVector

        public ArrayFieldVector​(Field<T> field,
                        T[] v1,
                        T[] v2)
        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)
        See Also:
        ArrayFieldVector(FieldElement[], FieldElement[])

    • Method Detail

      • 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

      • add

        public FieldVector<T> add​(FieldVector<T> v)
                   throws java.lang.IllegalArgumentException
        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:
        java.lang.IllegalArgumentException - if v is not the same size as this

      • add

        public FieldVector<T> add​(T[] v)
                   throws java.lang.IllegalArgumentException
        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:
        java.lang.IllegalArgumentException - if v is not the same size as this

      • add

        public ArrayFieldVector<T> add​(ArrayFieldVector<T> v)
                        throws java.lang.IllegalArgumentException
        Compute the sum of this and v.
        Parameters:
        v - vector to be added
        Returns:
        this + v
        Throws:
        java.lang.IllegalArgumentException - if v is not the same size as this

      • subtract

        public FieldVector<T> subtract​(FieldVector<T> v)
                        throws java.lang.IllegalArgumentException
        Compute this minus v.
        Specified by:
        subtract in interface FieldVector<T extends FieldElement<T>>
        Parameters:
        v - vector to be subtracted
        Returns:
        this + v
        Throws:
        java.lang.IllegalArgumentException - if v is not the same size as this

      • subtract

        public FieldVector<T> subtract​(T[] v)
                        throws java.lang.IllegalArgumentException
        Compute this minus v.
        Specified by:
        subtract in interface FieldVector<T extends FieldElement<T>>
        Parameters:
        v - vector to be subtracted
        Returns:
        this + v
        Throws:
        java.lang.IllegalArgumentException - if v is not the same size as this

      • subtract

        public ArrayFieldVector<T> subtract​(ArrayFieldVector<T> v)
                             throws java.lang.IllegalArgumentException
        Compute this minus v.
        Parameters:
        v - vector to be subtracted
        Returns:
        this + v
        Throws:
        java.lang.IllegalArgumentException - if v is not the same size as this

      • mapAdd

        public FieldVector<T> mapAdd​(T d)
        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

      • mapAddToSelf

        public FieldVector<T> mapAddToSelf​(T d)
        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

      • mapSubtract

        public FieldVector<T> mapSubtract​(T d)
        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

      • mapSubtractToSelf

        public FieldVector<T> mapSubtractToSelf​(T d)
        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

      • mapMultiply

        public FieldVector<T> mapMultiply​(T d)
        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

      • mapMultiplyToSelf

        public FieldVector<T> mapMultiplyToSelf​(T d)
        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

      • mapDivide

        public FieldVector<T> mapDivide​(T d)
        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

      • mapDivideToSelf

        public FieldVector<T> mapDivideToSelf​(T d)
        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

      • mapInv

        public FieldVector<T> mapInv()
        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

      • mapInvToSelf

        public FieldVector<T> mapInvToSelf()
        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

      • ebeMultiply

        public FieldVector<T> ebeMultiply​(FieldVector<T> v)
                           throws java.lang.IllegalArgumentException
        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:
        java.lang.IllegalArgumentException - if v is not the same size as this

      • ebeMultiply

        public FieldVector<T> ebeMultiply​(T[] v)
                           throws java.lang.IllegalArgumentException
        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:
        java.lang.IllegalArgumentException - if v is not the same size as this

      • ebeMultiply

        public ArrayFieldVector<T> ebeMultiply​(ArrayFieldVector<T> v)
                                throws java.lang.IllegalArgumentException
        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:
        java.lang.IllegalArgumentException - if v is not the same size as this

      • ebeDivide

        public FieldVector<T> ebeDivide​(FieldVector<T> v)
                         throws java.lang.IllegalArgumentException
        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:
        java.lang.IllegalArgumentException - if v is not the same size as this

      • ebeDivide

        public FieldVector<T> ebeDivide​(T[] v)
                         throws java.lang.IllegalArgumentException
        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:
        java.lang.IllegalArgumentException - if v is not the same size as this

      • ebeDivide

        public ArrayFieldVector<T> ebeDivide​(ArrayFieldVector<T> v)
                              throws java.lang.IllegalArgumentException
        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:
        java.lang.IllegalArgumentException - if v is not the same size as this

      • 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 java.lang.IllegalArgumentException
        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 between instance and v
        Throws:
        java.lang.IllegalArgumentException - if v is not the same size as this

      • dotProduct

        public T dotProduct​(T[] v)
             throws java.lang.IllegalArgumentException
        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 between instance and v
        Throws:
        java.lang.IllegalArgumentException - if v is not the same size as this

      • dotProduct

        public T dotProduct​(ArrayFieldVector<T> v)
             throws java.lang.IllegalArgumentException
        Compute the dot product.
        Parameters:
        v - vector with which dot product should be computed
        Returns:
        the scalar dot product between instance and v
        Throws:
        java.lang.IllegalArgumentException - if v is not the same size as this

      • projection

        public FieldVector<T> projection​(FieldVector<T> v)
        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 instance must be projected
        Returns:
        projection of the instance onto v

      • projection

        public FieldVector<T> projection​(T[] v)
        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 instance must be projected
        Returns:
        projection of the instance onto v

      • projection

        public ArrayFieldVector<T> projection​(ArrayFieldVector<T> v)
        Find the orthogonal projection of this vector onto another vector.
        Parameters:
        v - vector onto which instance must be projected
        Returns:
        projection of the instance onto v
        Throws:
        java.lang.IllegalArgumentException - if v is not the same size as this

      • outerProduct

        public FieldMatrix<T> outerProduct​(FieldVector<T> v)
                            throws java.lang.IllegalArgumentException
        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 square matrix outer product between instance and v
        Throws:
        java.lang.IllegalArgumentException - if v is not the same size as this

      • outerProduct

        public FieldMatrix<T> outerProduct​(ArrayFieldVector<T> v)
                            throws java.lang.IllegalArgumentException
        Compute the outer product.
        Parameters:
        v - vector with which outer product should be computed
        Returns:
        the square matrix outer product between instance and v
        Throws:
        java.lang.IllegalArgumentException - if v is not the same size as this

      • outerProduct

        public FieldMatrix<T> outerProduct​(T[] v)
                            throws java.lang.IllegalArgumentException
        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 square matrix outer product between instance and v
        Throws:
        java.lang.IllegalArgumentException - if v is not the same size as this

      • 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

      • append

        public FieldVector<T> append​(T[] in)
        Construct a vector by appending a T array to this vector.
        Specified by:
        append in interface FieldVector<T extends FieldElement<T>>
        Parameters:
        in - T array to append.
        Returns:
        a new vector

      • getSubVector

        public FieldVector<T> getSubVector​(int index,
                                   int n)
        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.

      • set

        public void set​(int index,
                ArrayFieldVector<T> v)
         throws MatrixIndexException
        Set a set of consecutive elements.
        Parameters:
        index - index of first element to be set.
        v - vector containing the values to set.
        Throws:
        MatrixIndexException - if the index is inconsistent with vector size

      • 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 java.lang.IllegalArgumentException
        Check if instance and specified vectors have the same dimension.
        Parameters:
        v - vector to compare instance with
        Throws:
        java.lang.IllegalArgumentException - if the vectors do not have the same dimension

      • checkVectorDimensions

        protected void checkVectorDimensions​(int n)
                              throws java.lang.IllegalArgumentException
        Check if instance dimension is equal to some expected value.
        Parameters:
        n - expected dimension.
        Throws:
        java.lang.IllegalArgumentException - if the dimension is inconsistent with vector size

      • equals

        public boolean equals​(java.lang.Object other)
        Test for the equality of two real vectors.

        If all coordinates of two real vectors are exactly the same, and none are Double.NaN, the two real 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) coordinates of the real vector are equal to Double.NaN, the real vector is equal to a vector with all Double.NaN coordinates.

        Overrides:
        equals in class java.lang.Object
        Parameters:
        other - Object to test for equality to this
        Returns:
        true if two 3D vector objects are equal, false if object is null, not an instance of Vector3D, or not equal to this Vector3D instance

      • hashCode

        public int hashCode()
        Get a hashCode for the real vector.

        All NaN values have the same hash code.

        Overrides:
        hashCode in class java.lang.Object
        Returns:
        a hash code value for this object