Package jmathexpr

Examples of jmathexpr.Expression

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        System.out.printf("%s : %s = ?%n", quad, x);

        Set roots = quad.solve();
        System.out.printf("  %s = %s%n", x, roots);
       
        Expression x1 = parser.parse("16 + sqrt(266)");
        Expression x2 = parser.parse("16 - sqrt(266)");
        Expression expected = new FiniteSet(x1, x2);
        assertEquals(expected, roots);
    }
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        System.out.printf("%s : %s = ?%n", quad, x);

        Set roots = quad.solve();
        System.out.printf("  %s = %s%n", x, roots);
       
        Expression x1 = parser.parse("(sqrt(15 + 144sqrt(3)) - sqrt(15)) / 6");
        Expression x2 = parser.parse("(-sqrt(15) - sqrt(15 + 144sqrt(3))) / 6");
        Expression expected = new FiniteSet(x1, x2);
        assertEquals(expected, roots);
    }
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        assertEquals(quotient, new OrderedPair(q, r));
    }
   
    @Test(dependsOnMethods = { "testFunctions" })
    public void testIntervals() {
        Expression contains, evaluated;
        Interval interval = new Interval(true, N.create(0), N.create(1), true); // [0, 1]
        System.out.printf("%s%n", interval);

        contains = new ElementOf(R.create(-1), interval);
        evaluated = contains.evaluate();
        System.out.printf("  %s : %s%n", contains, evaluated);
        assertEquals(evaluated, TruthValue.False);
       
        contains = new ElementOf(R.create(0), interval);
        evaluated = contains.evaluate();       
        System.out.printf("  %s : %s%n", contains, evaluated);
        assertEquals(evaluated, TruthValue.True);
       
        interval = new Interval(false, N.create(0), N.create(1), true); // (0, 1]
        System.out.printf("%s%n", interval);
       
        contains = new ElementOf(R.create(0), interval);
        evaluated = contains.evaluate();
        System.out.printf("  %s : %s%n", contains, evaluated);
        assertEquals(evaluated, TruthValue.False);
       
        contains = new ElementOf(Z.create(13), interval);
        evaluated = contains.evaluate();
        System.out.printf("  %s : %s%n", contains, evaluated);
        assertEquals(evaluated, TruthValue.False);
       
        interval = new Interval(false, N.create(0), Infinity.PLUS_INFINITY, false); // (0, inf)
        System.out.printf("%s%n", interval);

        contains = new ElementOf(R.create(3.14), interval);
        evaluated = contains.evaluate();
        System.out.printf("  %s : %s%n", contains, evaluated);
        assertEquals(evaluated, TruthValue.True);
    }
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        assertEquals(evaluated, TruthValue.True);
    }
   
    @Test(dependsOnMethods = { "testSum" })
    public void testFunctions() {
        Expression evaluated;
        Variable x = Numbers.variable("x");
        Function exp = new Exp(x);
        System.out.printf("%s%n", exp);
       
        x.setValue(R.create(0));
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    }
   
    @Test(dependsOnMethods = { "testExponentiation" })
    public void testSum() {
        ExpressionParser parser = new ExpressionParser();
        Expression sum = parser.parse("45/2 + 3/2 * sqrt(249) + 15/8 * sqrt(249) + 237/8 + 1");
        Expression evaluated = sum.evaluate();
        System.out.printf("%s = %s%n", sum, evaluated);
       
        Expression expected = parser.parse("(27sqrt(249) + 425) / 8");
        assertEquals(evaluated, expected);
       
        Variable x = Numbers.variable("x");
        x.setValue(parser.parse("(15 + sqrt(249)) / 4"));
        ExpressionContext.getInstance().addVariable(x);
        Expression quadratic = parser.parse("x^2 - 6x + 1");
        evaluated = quadratic.evaluate();
        System.out.printf("%s (%s = %s) = %s%n", quadratic, x.name(), x.evaluate(), evaluated);
       
        expected = parser.parse("(3 sqrt(249) + 65) / 8");
        assertEquals(evaluated, expected);
    }
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    }
   
    @Test(dependsOnMethods = { "testRealExpressions" })
    public void testExponentiation() {
        Exponentiation exp3 = new Exponentiation(N.create(5), N.create(3));
        Expression evaluated = exp3.evaluate();
        System.out.printf("%s = %s%n", exp3, evaluated);
        assertEquals(evaluated, N.create(125));
    }
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        assertEquals(evaluated, N.create(125));
    }

    @Test(dependsOnMethods = { "testRationalExpressions" })
    public void testRealExpressions() {
        Expression evaluated;
        RealNumber r0d1 = R.create(0.1);
        RealNumber div = R.create(1.0/10);
        Subtraction diff = new Subtraction(r0d1, div);
       
        RealNumber zero = R.create(0.0);
        Equality zeroTest = new Equality(diff, zero);
       
        evaluated = zeroTest.evaluate();
        System.out.printf("%s : %s%n", zeroTest, evaluated);
        assertEquals(evaluated, TruthValue.True);
       
        Division division = new Division(R.create(10.0), R.create(2.0));
        System.out.printf("Division domain: %s%n", division.domain());
       
        ExpressionParser parser = new ExpressionParser();
        Expression fraction = parser.parse("(6 sqrt(249) + 130) / 16");
        evaluated = fraction.evaluate();
        System.out.printf("%s : %s%n", fraction, evaluated);
       
        Expression expected = parser.parse("(3 sqrt(249) + 65) / 8");
        assertEquals(evaluated, expected);
    }
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        assertEquals(evaluated, expected);
    }
   
    @Test(dependsOnMethods = { "testVariables" })
    public void testRationalExpressions() {
        Expression evaluated;
        RationalNumber oneHalf = new LongRationalNumber(1, 2);
        RationalNumber oneThird = new LongRationalNumber(1, 3);
        Expression sum = new Addition(oneHalf, oneThird);
       
        evaluated = sum.evaluate();
        System.out.printf("%s = %s%n", sum, evaluated);
        assertEquals(evaluated, new LongRationalNumber(5, 6));
       
        Expression difference = new Subtraction(oneHalf, oneThird);
        evaluated = difference.evaluate();
        System.out.printf("%s = %s%n", difference, evaluated);
        assertEquals(evaluated, new LongRationalNumber(1, 6));
       
        RationalNumber sixEighth = new LongRationalNumber(6, 8);
        evaluated = sixEighth.evaluate();
        System.out.printf("%s = %s%n", sixEighth, evaluated);
        assertEquals(evaluated, new LongRationalNumber(3, 4));
       
        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 = { "testNaturalExpressions" })
    public void testIntegerExpressions() {
        IntegerNumber ten = Z.create(10);
        IntegerNumber eleven = Z.create(11); 
        Expression integerExpr = new Subtraction(ten, eleven);
       
        System.out.printf("%s = %s%n", integerExpr, integerExpr.evaluate());       
        assertEquals(integerExpr.evaluate(), Z.create(-1));
    }
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        assertEquals(integerExpr.evaluate(), Z.create(-1));
    }
   
    @Test
    public void testNaturalExpressions() {
        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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Related Classes of jmathexpr.Expression

  • jmathexpr.arithmetic.equation.AbsoluteValueEquation$Isolate$Addition
  • jmathexpr.arithmetic.equation.AbsoluteValueEquation$Isolate$Difference
  • jmathexpr.arithmetic.equation.AbsoluteValueEquation$IterativeRule
  • jmathexpr.arithmetic.equation.Equation
  • jmathexpr.arithmetic.equation.LinearEquation
  • jmathexpr.arithmetic.equation.LinearEquation$AxeB
  • jmathexpr.arithmetic.equation.LinearEquation$AxpBeC$SubtractionC
  • jmathexpr.arithmetic.equation.LinearEquation$AxpBeC$SubtractionX
  • jmathexpr.arithmetic.equation.LinearEquation$VariableOnBothSides
  • jmathexpr.arithmetic.equation.QuadraticEquation
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