public void Multiply_Number_FlatAdd()
{
//Arrange
var expected = new FlatAddExpression();
expected.Add(new VariableExpression("u", 2));
expected.Add(new NumberExpression(3));
expected.Count = new Complex(12, 0);
expected.Execute();
var c = new NumberExpression(3);
var n = new FlatAddExpression();
n.Add(new VariableExpression("u", 2));
n.Add(new NumberExpression(3));
n.Count = new Complex(4, 0);
var expr = new BinaryExpression(c, OperatorTypes.Multiply, n);
//Act
var actual = expr.Execute();
//Assert
Assert.AreEqual(expected.Count.Re.ToNumber(), actual.Count.Re.ToNumber());
Assert.AreEqual(expected.Count.Im.ToNumber(), actual.Count.Im.ToNumber());
}
public void Divide_x_by_y()
{
//Arrange
var expr = new BinaryExpression(new VariableExpression("x", 1), Mathema.Enums.Operators.OperatorTypes.Divide, new VariableExpression("y", 1));
var expected = "x / y";
//Act
var res = expr.Execute();
var actual = res.DimensionKey.ToString();
//Assert
Assert.AreEqual(expected, actual);
}
public void Subtract_Complex_ResultAsNumber()
{
//Arrange
var expected = new NumberExpression(1);
var c = new ComplexExpression(2, 3);
var n = new ComplexExpression(1, 3);
var expr = new BinaryExpression(c, OperatorTypes.Subtract, n);
//Act
var actual = (NumberExpression)expr.Execute();
//Assert
Assert.AreEqual(expected.Count.Re.ToNumber(), actual.Count.Re.ToNumber());
}
public void Pow_Complex_0()
{
//Arrange
var expected = new NumberExpression(1);
var c = new ComplexExpression(-2, 3);
var n = new NumberExpression(0);
var expr = new BinaryExpression(c, OperatorTypes.Power, n);
//Act
var actual = (NumberExpression)expr.Execute();
//Assert
Assert.AreEqual(expected.Count.Re.ToNumber(), actual.Count.Re.ToNumber());
}
public void Clone_BinaryExpression()
{
//Arrange
var expr1 = new NumberExpression(-2);
var expr2 = new NumberExpression(3);
var actual = new BinaryExpression(expr1, OperatorTypes.Power, expr2);
//Act
var expected = (BinaryExpression)actual.Clone();
//Assert
Assert.IsTrue(!Object.ReferenceEquals(actual, expected));
Assert.AreEqual(actual.Execute().Count.Re.ToNumber(), expected.Execute().Count.Re.ToNumber());
}
public void Multiply_Number_Function()
{
//Arrange
var expected = new CotExpression(new VariableExpression("x", 1), 12);
var c = new NumberExpression(3);
var n = new CotExpression(new VariableExpression("x", 1), 4);
var expr = new BinaryExpression(c, OperatorTypes.Multiply, n);
//Act
var actual = expr.Execute();
//Assert
Assert.AreEqual(expected.Count.Re.ToNumber(), actual.Count.Re.ToNumber());
Assert.AreEqual(expected.Count.Im.ToNumber(), actual.Count.Im.ToNumber());
}
public void Multiply_Number_Complex()
{
//Arrange
var expected = new ComplexExpression(2, -6);
var c = new NumberExpression(2);
var n = new ComplexExpression(1, -3);
var expr = new BinaryExpression(c, OperatorTypes.Multiply, n);
//Act
var actual = (ComplexExpression)expr.Execute();
//Assert
Assert.AreEqual(expected.Count.Re.ToNumber(), actual.Count.Re.ToNumber());
Assert.AreEqual(expected.Count.Im.ToNumber(), actual.Count.Im.ToNumber());
}
public void Multiply_Number_NegativeNumber()
{
//Arrange
var expected = new NumberExpression(-4);
var c = new NumberExpression(-2);
var n = new NumberExpression(2);
var expr = new BinaryExpression(c, OperatorTypes.Multiply, n);
//Act
var actual = expr.Execute();
//Assert
Assert.AreEqual(expected.Count.Re.ToNumber(), actual.Count.Re.ToNumber());
Assert.AreEqual(expected.Count.Im.ToNumber(), actual.Count.Im.ToNumber());
}
public void Add_Complex_NegativeNumber()
{
//Arrange
var expected = new ComplexExpression(1, 3);
var c = new ComplexExpression(2, 3);
var n = new NumberExpression(-1);
var expr = new BinaryExpression(c, OperatorTypes.Add, n);
//Act
var actual = (ComplexExpression)expr.Execute();
//Assert
Assert.AreEqual(expected.Count.Re.ToNumber(), actual.Count.Re.ToNumber());
Assert.AreEqual(expected.Count.Im.ToNumber(), actual.Count.Im.ToNumber());
}
public void Divide_Complex_Complex()
{
//Arrange
var expected = new ComplexExpression(new Fraction(-7, 10), new Fraction(9, 10));
var c = new ComplexExpression(2, 3);
var n = new ComplexExpression(1, -3);
var expr = new BinaryExpression(c, OperatorTypes.Divide, n);
//Act
var actual = (ComplexExpression)expr.Execute();
//Assert
Assert.AreEqual(expected.Count.Re.ToNumber(), actual.Count.Re.ToNumber());
Assert.AreEqual(expected.Count.Im.ToNumber(), actual.Count.Im.ToNumber());
}
public IEquationSolutions Solve(IExpression expression, string variable, IClassificationResult classification)
{
var res = new EquationSolutions();
if (expression is FlatAddExpression fa)
{
IExpression a = null;
IExpression b = null;
IExpression c = null;
List <IExpression> ca = new List <IExpression>();
for (int i = 0; i < fa.Expressions.Count; i++)
{
var kv = fa.Expressions.ElementAt(i);
var deg = kv.Value[0].DimensionKey.Value;
var key = kv.Value[0].DimensionKey.Key;
var expr = kv.Value[0];
if (deg.ToNumber() == 2 && key == variable)
{
if (expr is VariableExpression)
{
a = new ComplexExpression(expr.Count);
}
else if (expr is IFunctionExpression)
{
a = new ComplexExpression(expr.Count);
}
else
{
var tmp = (FlatExpression)expr.Clone();
tmp.Remove(variable, 2);
a = tmp;
}
}
else if (deg.ToNumber() == 1 && key == variable)
{
if (expr is VariableExpression)
{
b = new ComplexExpression(expr.Count);
}
else if (expr is IFunctionExpression)
{
b = new ComplexExpression(expr.Count);
}
else
{
var tmp = (FlatExpression)expr.Clone();
tmp.Remove(variable, 2);
b = tmp;
}
}
else
{
ca.Add(kv.Value[0]);
}
}
if (ca.Count > 1)
{
c = new FlatAddExpression();
var ct = (FlatAddExpression)c;
foreach (var ci in ca)
{
ct.Add(ci);
}
}
else if (ca.Count == 1)
{
c = ca[0];
}
if (a != null && c != null)
{
var delta = this.Delta(a, b, c);
var ds = new BinaryExpression(delta, Enums.Operators.OperatorTypes.Power, new NumberExpression(new Fraction(1, 2)));
var dsqrt = ds.Execute();
var r1 = X1X2(b, dsqrt, a, true);
var r2 = X1X2(b, dsqrt, a, false);
res.Solutions.Add(variable, new Tuple <IExpression, List <IExpression> >(classification.SearchResult[variable].Item1, new List <IExpression>()
{
r1.Execute()
}));
res.Solutions[variable].Item2.Add(r2.Execute());
}
}
return(res);
}