Examples with Complex edu.jas.poly.Complex used on opensource projects

Example 1 with Complex

use of edu.jas.poly.Complex in project symja_android_library by axkr.

the class JASIExpr method complexPoly2Expr.

/**
	 * Convert a JAS complex polynomial to <code>IExpr</code>.
	 * 
	 * @param poly
	 * @return
	 * @throws ArithmeticException
	 * @throws ClassCastException
	 */
public IExpr complexPoly2Expr(final GenPolynomial<Complex<BigRational>> poly) throws ArithmeticException, ClassCastException {
    if (poly.length() == 0) {
        return F.C0;
    }
    IAST result = F.Plus();
    for (Monomial<Complex<BigRational>> monomial : poly) {
        Complex<BigRational> coeff = monomial.coefficient();
        ExpVector exp = monomial.exponent();
        BigRational re = coeff.getRe();
        BigRational im = coeff.getIm();
        IAST monomTimes = F.Times(F.complex(F.fraction(re.numerator(), re.denominator()), F.fraction(im.numerator(), im.denominator())));
        long lExp;
        for (int i = 0; i < exp.length(); i++) {
            lExp = exp.getVal(i);
            if (lExp != 0) {
                monomTimes.append(F.Power(fVariables.get(i), F.integer(lExp)));
            }
        }
        if (monomTimes.isAST1()) {
            result.append(monomTimes.arg1());
        } else {
            result.append(monomTimes);
        }
    }
    if (result.isAST1()) {
        return result.arg1();
    } else {
        return result;
    }
}

Example 2 with Complex

use of edu.jas.poly.Complex in project symja_android_library by axkr.

the class JASConvert method complexPoly2Expr.

/**
	 * Convert a JAS complex polynomial to <code>IExpr</code>.
	 * 
	 * @param poly
	 * @return
	 * @throws ArithmeticException
	 * @throws ClassCastException
	 */
public IExpr complexPoly2Expr(final GenPolynomial<Complex<BigRational>> poly) throws ArithmeticException, ClassCastException {
    if (poly.length() == 0) {
        return F.C0;
    }
    IAST result = F.Plus();
    for (Monomial<Complex<BigRational>> monomial : poly) {
        Complex<BigRational> coeff = monomial.coefficient();
        ExpVector exp = monomial.exponent();
        IAST monomTimes = F.Times();
        monomialToExpr(coeff, exp, monomTimes);
        result.append(monomTimes.getOneIdentity(F.C1));
    }
    return result.getOneIdentity(F.C0);
}

Example 3 with Complex

use of edu.jas.poly.Complex in project symja_android_library by axkr.

the class Algebra method factorComplex.

public static IAST factorComplex(GenPolynomial<BigRational> polyRat, JASConvert<BigRational> jas, List<IExpr> varList, ISymbol head, boolean noGCDLCM) {
    TermOrder termOrder = TermOrderByName.Lexicographic;
    // Object[] objects = jas.factorTerms(polyRat);
    String[] vars = new String[varList.size()];
    for (int i = 0; i < varList.size(); i++) {
        vars[i] = varList.get(i).toString();
    }
    Object[] objects = JASConvert.rationalFromRationalCoefficientsFactor(new GenPolynomialRing<BigRational>(BigRational.ZERO, varList.size(), termOrder, vars), polyRat);
    java.math.BigInteger gcd = (java.math.BigInteger) objects[0];
    java.math.BigInteger lcm = (java.math.BigInteger) objects[1];
    GenPolynomial<BigRational> poly = (GenPolynomial<BigRational>) objects[2];
    ComplexRing<BigRational> cfac = new ComplexRing<BigRational>(BigRational.ZERO);
    GenPolynomialRing<Complex<BigRational>> cpfac = new GenPolynomialRing<Complex<BigRational>>(cfac, 1, termOrder);
    GenPolynomial<Complex<BigRational>> a = PolyUtil.complexFromAny(cpfac, poly);
    FactorComplex<BigRational> factorAbstract = new FactorComplex<BigRational>(cfac);
    SortedMap<GenPolynomial<Complex<BigRational>>, Long> map = factorAbstract.factors(a);
    IAST result = F.ast(head);
    if (!noGCDLCM) {
        if (!gcd.equals(java.math.BigInteger.ONE) || !lcm.equals(java.math.BigInteger.ONE)) {
            result.append(F.fraction(gcd, lcm));
        }
    }
    GenPolynomial<Complex<BigRational>> temp;
    for (SortedMap.Entry<GenPolynomial<Complex<BigRational>>, Long> entry : map.entrySet()) {
        if (entry.getKey().isONE() && entry.getValue().equals(1L)) {
            continue;
        }
        temp = entry.getKey();
        result.append(F.Power(jas.complexPoly2Expr(entry.getKey()), F.integer(entry.getValue())));
    }
    return result;
}

Example 4 with Complex

use of edu.jas.poly.Complex in project symja_android_library by axkr.

the class RootIntervals method croots.

/**
	 * Complex numeric roots intervals.
	 * 
	 * @param ast
	 * @return
	 */
public static IAST croots(final IExpr arg, boolean numeric) {
    try {
        VariablesSet eVar = new VariablesSet(arg);
        if (!eVar.isSize(1)) {
            // only possible for univariate polynomials
            return F.NIL;
        }
        IExpr expr = F.evalExpandAll(arg);
        ASTRange r = new ASTRange(eVar.getVarList(), 1);
        List<IExpr> varList = r;
        ComplexRing<BigRational> cfac = new ComplexRing<BigRational>(new BigRational(1));
        ComplexRootsAbstract<BigRational> cr = new ComplexRootsSturm<BigRational>(cfac);
        JASConvert<Complex<BigRational>> jas = new JASConvert<Complex<BigRational>>(varList, cfac);
        GenPolynomial<Complex<BigRational>> poly = jas.numericExpr2JAS(expr);
        Squarefree<Complex<BigRational>> engine = SquarefreeFactory.<Complex<BigRational>>getImplementation(cfac);
        poly = engine.squarefreePart(poly);
        List<Rectangle<BigRational>> roots = cr.complexRoots(poly);
        BigRational len = new BigRational(1, 100000L);
        IAST resultList = F.List();
        if (numeric) {
            for (Rectangle<BigRational> root : roots) {
                Rectangle<BigRational> refine = cr.complexRootRefinement(root, poly, len);
                resultList.append(JASConvert.jas2Numeric(refine.getCenter(), Config.DEFAULT_ROOTS_CHOP_DELTA));
            }
        } else {
            IAST rectangleList;
            for (Rectangle<BigRational> root : roots) {
                rectangleList = F.List();
                Rectangle<BigRational> refine = cr.complexRootRefinement(root, poly, len);
                rectangleList.append(JASConvert.jas2Complex(refine.getNW()));
                rectangleList.append(JASConvert.jas2Complex(refine.getSW()));
                rectangleList.append(JASConvert.jas2Complex(refine.getSE()));
                rectangleList.append(JASConvert.jas2Complex(refine.getNE()));
                resultList.append(rectangleList);
            // System.out.println("refine = " + refine);
            }
        }
        return resultList;
    } catch (InvalidBoundaryException e) {
        if (Config.SHOW_STACKTRACE) {
            e.printStackTrace();
        }
    } catch (JASConversionException e) {
        if (Config.SHOW_STACKTRACE) {
            e.printStackTrace();
        }
    }
    return F.NIL;
}

Example 5 with Complex

use of edu.jas.poly.Complex in project symja_android_library by axkr.

the class JASConvert method fraction2Poly.

private GenPolynomial<C> fraction2Poly(final IFraction exprPoly) {
    // .toJavaBigInteger();
    BigInteger n = exprPoly.toBigNumerator();
    // .toJavaBigInteger();
    BigInteger d = exprPoly.toBigDenominator();
    BigRational nr = new BigRational(n);
    BigRational dr = new BigRational(d);
    BigRational r = nr.divide(dr);
    if (fRingFactory instanceof ComplexRing) {
        ComplexRing ring = (ComplexRing) fRingFactory;
        Complex<BigRational> c = new Complex<BigRational>(ring, r);
        return new GenPolynomial(fPolyFactory, c);
    } else {
        return new GenPolynomial(fPolyFactory, r);
    }
}