Class AbstractDenseFieldVector<T extends AbstractDenseFieldVector<T,U,V>,U extends AbstractDenseFieldMatrix<U,T,V>,V extends Field<V>>

java.lang.Object

org.flag4j.arrays.backend.AbstractTensor<T,V[],V>

org.flag4j.arrays.backend.semiring_arrays.AbstractDenseSemiringTensor<T,V>

org.flag4j.arrays.backend.semiring_arrays.AbstractDenseSemiringVector<T,U,V>

org.flag4j.arrays.backend.ring_arrays.AbstractDenseRingVector<T,U,V>

org.flag4j.arrays.backend.field_arrays.AbstractDenseFieldVector<T,U,V>

Type Parameters:

T - Type of the vector.

U - Type of matrix equivalent to this vector.

V - Type of the field element of this vector.

All Implemented Interfaces:

Serializable, FieldTensorMixin<T,T,V>, TensorOverField<T,T,V[],V>, RingTensorMixin<T,T,V>, TensorOverRing<T,T,V[],V>, SemiringTensorMixin<T,T,V>, TensorOverSemiring<T,T,V[],V>, VectorMixin<T,U,U,V>

Direct Known Subclasses:

CVector, FieldVector

public abstract class AbstractDenseFieldVector<T extends AbstractDenseFieldVector<T,U,V>,U extends AbstractDenseFieldMatrix<U,T,V>,V extends Field<V>>
extends AbstractDenseRingVector<T,U,V>
implements VectorMixin<T,U,U,V>, FieldTensorMixin<T,T,V>

The base class for all dense vectors whose data are Field elements.

Vectors are 1D tensors (i.e. rank 1 tensor).

AbstractDenseFieldVectors have mutable AbstractTensor.data but a fixed AbstractTensor.shape.

See Also:

• Serialized Form

Field Summary

Fields inherited from class org.flag4j.arrays.backend.semiring_arrays.AbstractDenseSemiringVector

size

Fields inherited from class org.flag4j.arrays.backend.semiring_arrays.AbstractDenseSemiringTensor

zeroElement

Fields inherited from class org.flag4j.arrays.backend.AbstractTensor

data, rank, shape

Constructor Summary

Constructors

Modifier	Constructor	Description
protected	AbstractDenseFieldVector(Shape shape, V[] entries)	Creates a tensor with the specified data and shape.

Method Summary

Modifier and Type	Method	Description
Vector	abs()	Computes the element-wise absolute value of this tensor.
boolean	allClose(T b)	Checks if all data of this matrix are 'close' as defined below.
boolean	allClose(T b, double relTol, double absTol)	Checks if all data of this matrix are 'close' as defined below.
T	div(T b)	Computes the element-wise quotient of two matrices.
T	H(int axis1, int axis2)	Computes the conjugate transpose of a tensor by conjugating and exchanging axis1 and axis2.
V	inner(T b)	Computes the inner product between two vectors.
boolean	isFinite()	Checks if this tensor only contains finite values.
boolean	isInfinite()	Checks if this tensor contains at least one infinite value.
boolean	isNaN()	Checks if this tensor contains at least one NaN value.
V	mag()	Computes the magnitude of this vector.
double	norm()	Computes the Euclidean norm of this vector.
double	norm(double p)	Computes the p-norm of this vector.
T	normalize()	Normalizes this vector to a unit length vector.
U	outer(T b)	Computes the outer product of two vectors.
T	sqrt()	Computes the element-wise square root of this tensor.

Methods inherited from class org.flag4j.arrays.backend.ring_arrays.AbstractDenseRingVector

H, sub, subEq

Methods inherited from class org.flag4j.arrays.backend.semiring_arrays.AbstractDenseSemiringVector

dot, get, join, length, makeLikeMatrix, makeLikeTensor, repeat, stack, toMatrix

Methods inherited from class org.flag4j.arrays.backend.semiring_arrays.AbstractDenseSemiringTensor

add, addEq, argmax, argmin, copy, elemMult, flatten, flatten, get, getZeroElement, makeLikeCooTensor, max, min, reshape, set, setZeroElement, T, T, tensorDot, tensorTr, toCoo, toCoo

Methods inherited from class org.flag4j.arrays.backend.AbstractTensor

getData, getRank, getShape, makeLikeTensor, reshape, sameShape, T, totalEntries

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Methods inherited from interface org.flag4j.arrays.backend.field_arrays.FieldTensorMixin

add, add, addEq, addEq, argmax, argmaxAbs, argmin, argminAbs, conj, div, div, divEq, divEq, isOnes, isZeros, makeEmptyDataArray, max, maxAbs, min, minAbs, mult, mult, multEq, multEq, prod, recip, sub, sub, subEq, subEq, sum

Methods inherited from interface org.flag4j.arrays.backend.ring_arrays.TensorOverRing

H, H, sub

Methods inherited from interface org.flag4j.arrays.backend.semiring_arrays.TensorOverSemiring

add, elemMult, getData, getRank, getShape, makeLikeTensor, tensorDot, tensorDot, tensorDot, tensorDot, tensorTr, tensorTr

Methods inherited from interface org.flag4j.arrays.backend.VectorMixin

dot, get, join, length, repeat, size, stack, stack, toMatrix, toMatrix

Constructor Details

AbstractDenseFieldVector

protected AbstractDenseFieldVector(Shape shape,
 V[] entries)

Creates a tensor with the specified data and shape.

Parameters:

shape - Shape of this tensor.

entries - Entries of this tensor. If this tensor is dense, this specifies all data within the tensor. If this tensor is sparse, this specifies only the non-zero data of the tensor.

Method Details

H

public T H(int axis1,
 int axis2)

Computes the conjugate transpose of a tensor by conjugating and exchanging axis1 and axis2.

Specified by:

H in interface TensorOverRing<T extends AbstractDenseFieldVector<T,U,V>,T extends AbstractDenseFieldVector<T,U,V>,V extends Field<V>[],V extends Field<V>>

Overrides:

H in class AbstractDenseRingVector<T extends AbstractDenseFieldVector<T,U,V>,U extends AbstractDenseFieldMatrix<U,T,V>,V extends Field<V>>

Parameters:

axis1 - First axis to exchange and conjugate.

axis2 - Second axis to exchange and conjugate.

Returns:

The conjugate transpose of this tensor according to the specified axes.

Throws:

IndexOutOfBoundsException - If either axis1 or axis2 are out of bounds for the rank of this tensor.

See Also:

• TensorOverRing.H()
• AbstractDenseRingVector.H(int...)

inner

public V inner(T b)

Computes the inner product between two vectors.

Specified by:

inner in interface VectorMixin<T extends AbstractDenseFieldVector<T,U,V>,U extends AbstractDenseFieldMatrix<U,T,V>,U extends AbstractDenseFieldMatrix<U,T,V>,V extends Field<V>>

Overrides:

inner in class AbstractDenseSemiringVector<T extends AbstractDenseFieldVector<T,U,V>,U extends AbstractDenseFieldMatrix<U,T,V>,V extends Field<V>>

Parameters:

b - Second vector in the inner product.

Returns:

The inner product between this vector and the vector b.

Throws:

IllegalArgumentException - If this vector and vector b do not have the same number of data.

See Also:

• invalid reference

  #dot(AbstractDenseFieldVector)

outer

public U outer(T b)

Computes the outer product of two vectors.

Specified by:

outer in interface VectorMixin<T extends AbstractDenseFieldVector<T,U,V>,U extends AbstractDenseFieldMatrix<U,T,V>,U extends AbstractDenseFieldMatrix<U,T,V>,V extends Field<V>>

Overrides:

outer in class AbstractDenseSemiringVector<T extends AbstractDenseFieldVector<T,U,V>,U extends AbstractDenseFieldMatrix<U,T,V>,V extends Field<V>>

Parameters:

b - Second vector in the outer product.

Returns:

The result of the vector outer product between this vector and b.

Throws:

IllegalArgumentException - If the two vectors do not have the same number of data.

abs

public Vector abs()

Computes the element-wise absolute value of this tensor.

Specified by:

abs in interface TensorOverRing<T extends AbstractDenseFieldVector<T,U,V>,T extends AbstractDenseFieldVector<T,U,V>,V extends Field<V>[],V extends Field<V>>

Returns:

The element-wise absolute value of this tensor.

normalize

public T normalize()

Normalizes this vector to a unit length vector.

Specified by:

normalize in interface VectorMixin<T extends AbstractDenseFieldVector<T,U,V>,U extends AbstractDenseFieldMatrix<U,T,V>,U extends AbstractDenseFieldMatrix<U,T,V>,V extends Field<V>>

Overrides:

normalize in class AbstractDenseRingVector<T extends AbstractDenseFieldVector<T,U,V>,U extends AbstractDenseFieldMatrix<U,T,V>,V extends Field<V>>

Returns:

This vector normalized to a unit length.

mag

public V mag()

Computes the magnitude of this vector.

Specified by:

mag in interface VectorMixin<T extends AbstractDenseFieldVector<T,U,V>,U extends AbstractDenseFieldMatrix<U,T,V>,U extends AbstractDenseFieldMatrix<U,T,V>,V extends Field<V>>

Overrides:

mag in class AbstractDenseSemiringVector<T extends AbstractDenseFieldVector<T,U,V>,U extends AbstractDenseFieldMatrix<U,T,V>,V extends Field<V>>

Returns:

The magnitude of this vector.

norm

public double norm()

Computes the Euclidean norm of this vector.

Specified by:

norm in interface FieldTensorMixin<T extends AbstractDenseFieldVector<T,U,V>,U extends AbstractDenseFieldMatrix<U,T,V>,V extends Field<V>>

Specified by:

norm in interface RingTensorMixin<T extends AbstractDenseFieldVector<T,U,V>,U extends AbstractDenseFieldMatrix<U,T,V>,V extends Field<V>>

Overrides:

norm in class AbstractDenseRingVector<T extends AbstractDenseFieldVector<T,U,V>,U extends AbstractDenseFieldMatrix<U,T,V>,V extends Field<V>>

Returns:

The Euclidean norm of this vector.

norm

public double norm(double p)

Computes the p-norm of this vector.

Specified by:

norm in interface FieldTensorMixin<T extends AbstractDenseFieldVector<T,U,V>,U extends AbstractDenseFieldMatrix<U,T,V>,V extends Field<V>>

Specified by:

norm in interface RingTensorMixin<T extends AbstractDenseFieldVector<T,U,V>,U extends AbstractDenseFieldMatrix<U,T,V>,V extends Field<V>>

Overrides:

norm in class AbstractDenseRingVector<T extends AbstractDenseFieldVector<T,U,V>,U extends AbstractDenseFieldMatrix<U,T,V>,V extends Field<V>>

Parameters:

p - p value in the p-norm.

Returns:

The Euclidean norm of this vector.

div

public T div(T b)

Computes the element-wise quotient of two matrices.

Specified by:

div in interface TensorOverField<T extends AbstractDenseFieldVector<T,U,V>,T extends AbstractDenseFieldVector<T,U,V>,V extends Field<V>[],V extends Field<V>>

Parameters:

b - Second matrix in the element-wise quotient.

Returns:

The element-wise quotient of this matrix and b.

sqrt

public T sqrt()

Computes the element-wise square root of this tensor.

Specified by:

sqrt in interface TensorOverField<T extends AbstractDenseFieldVector<T,U,V>,T extends AbstractDenseFieldVector<T,U,V>,V extends Field<V>[],V extends Field<V>>

Returns:

The element-wise square root of this tensor.

isFinite

public boolean isFinite()

Checks if this tensor only contains finite values.

Specified by:

isFinite in interface TensorOverField<T extends AbstractDenseFieldVector<T,U,V>,T extends AbstractDenseFieldVector<T,U,V>,V extends Field<V>[],V extends Field<V>>

Returns:

true if this tensor only contains finite values; false otherwise.

See Also:

• isInfinite()
• isNaN()

isInfinite

public boolean isInfinite()

Checks if this tensor contains at least one infinite value.

Specified by:

isInfinite in interface TensorOverField<T extends AbstractDenseFieldVector<T,U,V>,T extends AbstractDenseFieldVector<T,U,V>,V extends Field<V>[],V extends Field<V>>

Returns:

true if this tensor contains at least one infinite value; false otherwise.

See Also:

• isFinite()
• isNaN()

isNaN

public boolean isNaN()

Checks if this tensor contains at least one NaN value.

Specified by:

isNaN in interface TensorOverField<T extends AbstractDenseFieldVector<T,U,V>,T extends AbstractDenseFieldVector<T,U,V>,V extends Field<V>[],V extends Field<V>>

Returns:

true if this tensor contains at least one NaN value; false otherwise.

See Also:

• isFinite()
• isInfinite()

allClose

public boolean allClose(T b)

Checks if all data of this matrix are 'close' as defined below. Custom tolerances may be specified using allClose(AbstractDenseFieldVector, double, double).

Parameters:

b - Second tensor in the comparison.

Returns:

True if both tensors have the same shape and all data are 'close' element-wise, i.e. elements x and y at the same positions in the two tensors respectively and satisfy |x-y| <= (1E-08 + 1E-05*|y|). Otherwise, returns false.

See Also:

• allClose(AbstractDenseFieldVector, double, double)

allClose

public boolean allClose(T b,
 double relTol,
 double absTol)

Checks if all data of this matrix are 'close' as defined below.

Parameters:

b - Second tensor in the comparison.

Returns:

True if both tensors have the same length and all data are 'close' element-wise, i.e. elements x and y at the same positions in the two tensors respectively and satisfy |x-y| <= (absTol + relTol*|y|). Otherwise, returns false.

See Also:

• allClose(AbstractDenseFieldVector)