/*
 * $Id$
 */

package edu.jas.root;


import java.io.Serializable;
import java.util.List;
import java.util.ArrayList;

import edu.jas.arith.BigDecimal;
import edu.jas.arith.BigRational;
import edu.jas.arith.Rational;
import edu.jas.structure.ElemFactory;
import edu.jas.structure.RingElem;
import edu.jas.structure.GcdRingElem;
import edu.jas.structure.RingFactory;


/**
 * RealAlgebraicNumber root tuple.
 * @param  coefficient type.
 * @author Heinz Kredel
 */
public class RealRootTuple & Rational> implements Serializable {


    /**
     * Tuple of RealAlgebraicNumbers.
     */
    public final List> tuple;


    /**
     * Constructor.
     * @param t list of roots.
     */
    public RealRootTuple(List> t) {
        if ( t == null ) {
            throw new IllegalArgumentException("null tuple not allowed");
        }
        tuple = t;
    }


    /**
     * String representation of tuple.
     * @see java.lang.Object#toString()
     */
    @Override
    public String toString() {
        return tuple.toString();
    }


    /**
     * Get a scripting compatible string representation.
     * @return script compatible representation for this Rectangle.
     */
    public String toScript() {
        // Python case
        StringBuffer sb = new StringBuffer("[");
        boolean first = true;
        for (RealAlgebraicNumber r : tuple) {
            if ( first ) {
                first = false;
            } else {
                sb.append(",");
            }
            sb.append(r.toScript());
        }
        return sb.toString();
    }


    /*
     * Contains a point.
     * @param c point.
     * @return true if c is contained in this rectangle, else false.
     public boolean contains(Complex c) {
     Complex ll = getSW();
     Complex ur = getSW();
     return c.getRe().compareTo(ll.getRe()) < 0 ||
     c.getIm().compareTo(ll.getIm()) < 0 || 
     c.getRe().compareTo(ur.getRe()) > 0 || 
     c.getIm().compareTo(ur.getIm()) > 0;
     }
    */


    /*
     * Random point of recatangle.
     * @return a random point contained in this rectangle.
     public Complex randomPoint() {
     Complex sw = getSW();
     Complex se = getSE();
     Complex nw = getNW();
     Complex r = sw.factory().random(13);
     C dr = se.getRe().subtract(sw.getRe()); // >= 0
     C di = nw.getIm().subtract(sw.getIm()); // >= 0
     C rr = r.getRe().abs();
     C ri = r.getIm().abs();
     C one = ((RingFactory)dr.factory()).getONE();
     if ( !rr.isZERO() ) {
     if ( rr.compareTo(one) > 0 ) {
     rr = rr.inverse();
     }
     }
     if ( !ri.isZERO() ) {
     if ( ri.compareTo(one) > 0 ) {
     ri = ri.inverse();
     }
     }
     // 0 <= rr, ri <= 1
     rr = rr.multiply(dr);
     ri = ri.multiply(di);
     Complex rp = new Complex(sw.factory(),rr,ri);
     //System.out.println("rp = " + rp);
     rp = sw.sum(rp);
     return rp;
     }
    */


    /**
     * Copy this.
     * @return a copy of this.
     */
    public RealRootTuple copy() {
        return new RealRootTuple(new ArrayList>(tuple));
    }


    /**
     * Comparison with any other object.
     * @see java.lang.Object#equals(java.lang.Object)
     */
    @Override
    @SuppressWarnings("unchecked")
    public boolean equals(Object b) {
        RealRootTuple a = null;
        try {
            a = (RealRootTuple) b;
        } catch (ClassCastException e) {
        }
        if (a == null) {
            return false;
        }
        return tuple.equals(a.tuple);
    }


    /**
     * Hash code for this Rectangle.
     * @see java.lang.Object#hashCode()
     */
    @Override
    public int hashCode() {
        return tuple.hashCode();
    }


    /**
     * Rational approximation of each coordinate.
     * @return list of coordinate points.
     */
    public List getRational() {
        List center = new ArrayList(tuple.size());
        for ( RealAlgebraicNumber rr : tuple ) {
            BigRational r = rr.getRational();
            center.add(r);
        }
        return center;
    }


    /**
     * Decimal approximation of each coordinate.
     * @return list of coordinate points.
     */
    public List decimalMagnitude() {
        List center = new ArrayList(tuple.size());
        for ( RealAlgebraicNumber rr : tuple ) {
            BigDecimal r = rr.decimalMagnitude();
            center.add(r);
        }
        return center;
    }


    /**
     * Rational Length.
     * @return max |v_i|;
     */
    public BigRational rationalLength() {
        BigRational len = new BigRational();
        for ( RealAlgebraicNumber rr : tuple ) {
            BigRational r = rr.ring.root.rationalLength();
            int s = len.compareTo(r);
            if ( s < 0 ) {
                len = r;
            }
        }
        return len;
    }


    /**
     * Signum.
     * @return ?;
     */
    public int signum() {
        int s = 0;
        for ( RealAlgebraicNumber rr : tuple ) {
            int rs = rr.signum();
            if ( rs != 0 ) {
                s = rs;
            }
        }
        return s;
    }

}