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/*
* File: VectorUtil.java
* Authors: Justin Basilico
* Company: Sandia National Laboratories
* Project: Cognitive Foundry
*
* Copyright March 12, 2009, Sandia Corporation.
* Under the terms of Contract DE-AC04-94AL85000, there is a non-exclusive
* license for use of this work by or on behalf of the U.S. Government. Export
* of this program may require a license from the United States Government.
* See CopyrightHistory.txt for complete details.
*
*/
package gov.sandia.cognition.math.matrix;
/**
* Utility methods for dealing with vectors.
*
* @author Justin Basilico
* @since 3.0
*/
public class VectorUtil
extends Object
{
/**
* Gets the dimensionality of the given vector, if it is not null.
* Otherwise, -1 is returned.
*
* @param vector
* The vector to get the dimensionality of.
* @return
* The dimensionality of the given vector, if it is not null.
* Otherwise, -1 is returned.
*/
public static int safeGetDimensionality(
final Vectorizable vector)
{
if (vector == null)
{
return -1;
}
else
{
return safeGetDimensionality(vector.convertToVector());
}
}
/**
* Gets the dimensionality of the given vector, if it is not null.
* Otherwise, -1 is returned.
*
* @param vector
* The vector to get the dimensionality of.
* @return
* The dimensionality of the given vector, if it is not null.
* Otherwise, -1 is returned.
*/
public static int safeGetDimensionality(
final Vector vector)
{
if (vector == null)
{
return -1;
}
else
{
return vector.getDimensionality();
}
}
/**
* Returns a new vector whose elements are the elements of the original
* vector, divided by the 1-norm of the vector (the sum of the absolute
* values of the elements). If the 1-norm is zero (which means all the
* elements are zero), then the result is just a duplicate of the input
* (zero) vector.
*
* @param input
* The vector to divide by its 1-norm.
* @return
* A new vector whose elements are the elements from the given vector,
* divided by its 1-norm.
*/
public static Vector divideByNorm1(
final Vector input)
{
final Vector clone = input.clone();
divideByNorm1Equals(clone);
return clone;
}
/**
* Divides all of the given elements of the vector by the 1-norm (the sum
* of the absolute values of the elements). If the 1-norm is zero (which
* means all the elements are zero), then the vector is not modified.
*
* @param vector
* The vector to divide the elements by the 1-norm. It is modified by
* this method.
*/
public static void divideByNorm1Equals(
final Vector vector)
{
final double norm1 = vector.norm1();
if (norm1 != 0.0)
{
vector.scaleEquals(1.0 / norm1);
}
}
/**
* Returns a new vector whose elements are the elements of the original
* vector, divided by the 2-norm of the vector (the square root of the sum
* of the squared values of the elements). If the 2-norm is zero (which
* means all the elements are zero), then the result is just a duplicate
* of the input (zero) vector.
*
* @param input
* The vector to divide by its 2-norm.
* @return
* A new vector whose elements are the elements from the given vector,
* divided by its 2-norm.
*/
public static Vector divideByNorm2(
final Vector input)
{
final Vector clone = input.clone();
divideByNorm2Equals(clone);
return clone;
}
/**
* Divides all of the given elements of the vector by the 2-norm (the square
* root of the sum of the squared values of the elements). If the 2-norm is
* zero (which means all the elements are zero), then the vector is not
* modified.
*
* @param vector
* The vector to divide the elements by the 2-norm. It is modified by
* this method.
*/
public static void divideByNorm2Equals(
final Vector vector)
{
final double norm2 = vector.norm2();
if (norm2 != 0.0)
{
vector.scaleEquals(1.0 / norm2);
}
}
/**
* Performs linear interpolation between two vectors.
*
* If percent is between 0.0 and 1.0, the result is: percent (y - x) + x.
* If percent is less than 0.0, the result is x. If percent is
* greater than 1.0, the result is y.
*
* @param first
* The first vector. Sometimes this is referred to as x.
* @param second
* The second vector. Sometimes this is referred to as y.
* @param percent
* A value between 0.0 and 1.0 to interpolate between the two vectors.
* Sometimes this is also referred to as alpha.
* @return
* A new vector that is linearly interpolated between the two vectors
* vectors.
*/
public static Vector interpolateLinear(
final Vectorizable first,
final Vectorizable second,
final double percent)
{
return interpolateLinear(
first.convertToVector(), second.convertToVector(), percent);
}
/**
* Performs linear interpolation between two vectors.
*
* If percent is between 0.0 and 1.0, the result is: percent * (y - x) + x.
* If percent is less than 0.0, the result is x. If percent is greater than
* 1.0, the result is y.
*
* @param first
* The first vector. Sometimes this is referred to as x.
* @param second
* The second vector. Sometimes this is referred to as y.
* @param percent
* A value between 0.0 and 1.0 to interpolate between the two vectors.
* Sometimes this is also referred to as alpha.
* @return
* A new vector that is linearly interpolated between the two vectors
* vectors.
*/
public static Vector interpolateLinear(
final Vector first,
final Vector second,
final double percent)
{
if (percent <= 0.0)
{
// The result is just the first value.
return first.clone();
}
else if (percent >= 1.0)
{
// The result is just the second value.
return second.clone();
}
// Do the interpolation: alpha * (y - x) + x
final Vector result = second.minus(first);
result.scaleEquals(percent);
result.plusEquals(first);
return result;
}
/**
* Asserts that all of the dimensionalities of the vectors in the
* given set of data equal the given dimensionality.
*
* @param data
* A collection of input-output pairs.
* @param dimensionality
* The dimensionality that all the inputs must have.
* @throws DimensionalityMismatchException
* If the dimensionalities are not all equal.
*/
public static void assertDimensionalitiesAllEqual(
final Iterable data,
final int dimensionality)
{
if (data != null)
{
for (Vectorizable example : data)
{
if (example == null)
{
// Ignore null examples.
continue;
}
final Vector vector = example.convertToVector();
if (vector == null)
{
// Ignore null vectors.
continue;
}
// Make sure this dimensionality is correct.
vector.assertDimensionalityEquals(dimensionality);
}
}
}
}
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