package jsci.maths.vectors;

import jsci.GlobalSettings;
import jsci.maths.ExtraMath;
import jsci.maths.Mapping;
import jsci.maths.algebras.*;
import jsci.maths.fields.*;
import jsci.maths.groups.AbelianGroup;

/**
* The AbstractDoubleVector class encapsulates vectors containing doubles.
* @version 1.0
* @author Mark Hale
*/
public abstract class AbstractDoubleVector extends MathVector implements BanachSpace.Member {
        protected AbstractDoubleVector(final int dim) {
                super(dim);
        }
        /**
        * Compares two double vectors for equality.
        * Two vectors are considered to be equal if the norm of their difference is within the zero tolerance.
        * @param obj a double vector
        */
        public final boolean equals(Object obj) {
		return equals(obj, GlobalSettings.ZERO_TOL);
        }
	public boolean equals(Object obj, double tol) {
                if(obj != null && (obj instanceof AbstractDoubleVector)) {
                        final AbstractDoubleVector vec = (AbstractDoubleVector) obj;
                        return (this.dimension() == vec.dimension() && this.subtract(vec).norm() <= tol);
                } else
                        return false;
        }
        /**
        * Returns a comma delimited string representing the value of this vector.
        */
        public String toString() {
                final StringBuffer buf = new StringBuffer(8*N);
                int i;
                for(i=0; in-norm.
        * @jsci.planetmath VectorPnorm
        */
        public double norm(int n) {
                double answer = Math.pow(Math.abs(getComponent(0)), n);
                for(int i=1; i2-norm (magnitude).
        * @jsci.planetmath VectorPnorm
        */
        public double norm() {
                double answer = getComponent(0);
                for(int i=1; i-norm.
        * @author Taber Smith
        * @jsci.planetmath VectorPnorm
        */
        public double infNorm() {
                double infNorm = Math.abs(getComponent(0));
                for(int i=1; i infNorm)
                                infNorm = abs;
                }
                return infNorm;
        }
        /**
        * Returns the mass (l1-norm).
        */
        public double mass() {
                double mass=0.0;
                for(int i=1; i