Examples of jmathexpr.arithmetic.op.Multiplication

jmathexpr.arithmetic.op.Multiplication
@author Elemér Furka

        difference = new Subtraction(new LongRationalNumber(2, 3), new LongRationalNumber(1, 6));
        evaluated = difference.evaluate();
        System.out.printf("%s = %s%n", difference, evaluated);
        assertEquals(evaluated, new LongRationalNumber(1, 2));
        
        Expression product = new Multiplication(new LongRationalNumber(2, 3), new LongRationalNumber(9, 2));
        ElementOf isNatural = new ElementOf(product, N);
        evaluated = isNatural.evaluate();
        System.out.printf("%s = %s : %s%n", product.evaluate(), isNatural, evaluated);
        assertEquals(evaluated, TruthValue.True);
        
        System.out.println(Q.create("-3.750"));
    }

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    }
    
    @Test(dependsOnMethods = { "testIntegerExpressions" })
    public void testVariables() {
        NaturalNumber two = N.create(2);
        Variable x = Numbers.variable("x"), a = new Variable("a", new Multiplication(two, x));
              
        for (int i = 1; i < 4; i++) {
            x.setValue(N.create(i));
            System.out.printf("  %s = %s%n", a, a.evaluate());
        }

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        Expression evaluated;
        NaturalNumber five = N.create(5);
        NaturalNumber two = N.create(2);
        Addition seven = new Addition(five, two);
        NaturalNumber six = N.create("6");
        Expression naturalExpr = new Multiplication(six, seven);
        
        evaluated = naturalExpr.evaluate();
        System.out.printf("%s = %s%n", naturalExpr, evaluated);        
        assertEquals(evaluated, N.create(42));
        
        Expression equality = new Equality(naturalExpr, N.create(42));
        evaluated = equality.evaluate();
        System.out.printf("%s : %s%n", equality, evaluated);
        assertEquals(evaluated, TruthValue.True);
                
        Expression elementOf = new ElementOf(naturalExpr, N);
        evaluated = elementOf.evaluate();
        System.out.printf("%s : %s%n", elementOf, evaluated);
        assertEquals(evaluated, TruthValue.True);
        
        elementOf = new ElementOf(six, N);
        evaluated = elementOf.evaluate();
        System.out.printf("%s : %s%n", elementOf, evaluated);
        assertEquals(evaluated, TruthValue.True);
        
        Expression sqrt = new Sqrt(N.create(45));
        evaluated = sqrt.evaluate();
        System.out.printf("%s = %s%n", sqrt, evaluated);
        assertEquals(evaluated, new Multiplication(N.create(3), new Sqrt(N.create(5))));
    }

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        @Override
        public boolean matches(Expression expr) {
            target = expr;
            
            Expression ax = new Multiplication(a, x);


            boolean matches = new Equality(ax, b).matches(expr) || new Equality(b, ax).matches(expr);
            
            // Don't match the case x = b (a = 1)
            matches = matches && !a.hit().equals(Naturals.one());

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            ANumber coef = ca.lt(cc) ? ca : cc;


            if (coef.isNegative()) {
                coef = coef.negate();
                
                Expression cx = coef.isOne() ? x.evaluate() : new Multiplication(coef, x.evaluate());
                
                return new Equality(Sum.add(((Equality) target).lhs(), cx),
                    Sum.add(((Equality) target).rhs(), cx));
            } else {
                Expression cx = coef.isOne() ? x.evaluate() : new Multiplication(coef, x.evaluate());
                
                return new Equality(Sum.subtract(((Equality) target).lhs(), cx),
                    Sum.subtract(((Equality) target).rhs(), cx));
            }
        }

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        if (s == 1) { // perfect square
            return new LongNaturalNumber(a);
        } else if (a == 1) {
            return new Sqrt(n);
        } else { // sqrt(n) = a * sqrt(s)
            return new Multiplication(new LongNaturalNumber(a), new Sqrt(new LongNaturalNumber(s)));
        }
    }

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        Expression sum = null;
        Expression c, term;
        
        for (NaturalNumber n : coeffs.descendingKeySet()) {
            c = coeffs.get(n).evaluate();
            term = new Multiplication(c, new Exponentiation(xvalue, n));
            
            if (sum == null) {
                sum = new Sum(term);
            } else {
                sum = Sum.add(sum, term);

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            Expression a = coeffs.get(two);
            Expression b = coeffs.get(ONE);
            Expression c = coeffs.get(ZERO);
            
            return new Subtraction(new Exponentiation(b, two),
                    new Multiplication(four, new Multiplication(a, c)));
        } else {
            throw new UnsupportedOperationException("Cannot compute discriminant: " + this);
        }
    }

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        if (c != null) {
            if (degree.equals(ZERO)) {
                return c;
            } else if (degree.equals(ONE)) {
                return new Multiplication(c, x);
            } else {
                return new Multiplication(c, new Exponentiation(x, degree));
            }
        } else {
            return ZERO;
        }
    }

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                p = (NaturalNumber) n.add(i);
                
                rp = r.get(p);
                bi = b.coeffs.get(i);
                
                rp = rp != null ? new Subtraction(rp, new Multiplication(c, bi)).evaluate()
                        : new Negation(new Multiplication(c, bi)).evaluate();


                if (rp instanceof ANumber && ((ANumber) rp).isZero() && !p.isZero()) {
                    r.remove(p);
                } else {
                    r.put(p, rp);

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jmathexpr.arithmetic.ANumber

jmathexpr.arithmetic.equation.LinearEquation$AxeB

jmathexpr.arithmetic.equation.LinearEquation$VariableOnBothSides

jmathexpr.arithmetic.equation.QuadraticEquation$Factor

jmathexpr.arithmetic.equation.QuadraticEquation$QuadraticFormula

jmathexpr.arithmetic.equation.QuadraticEquation$RootFreeA

jmathexpr.arithmetic.equation.QuadraticEquation$ZeroProduct

jmathexpr.arithmetic.equation.rule.Fraction

jmathexpr.arithmetic.func.Sqrt

jmathexpr.arithmetic.natural.impl.LongNaturalCalculator

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