public void DiffInjectTest()
{
var deriv = new Derivative(new Variable("x"), new Variable("x"));
resolver.Resolve(deriv);
Assert.NotNull(deriv.Differentiator);
Assert.Equal(this.differentiator, deriv.Differentiator);
}
public void ExecutePointTest()
{
var differentiator = new Mock<IDifferentiator>();
differentiator.Setup(d => d.Analyze(It.IsAny<Derivative>()))
.Returns<Derivative>(exp => exp.Expression);
var deriv = new Derivative(new Variable("x"), new Variable("x"), new Number(2));
deriv.Differentiator = differentiator.Object;
Assert.Equal(2.0, deriv.Execute());
}
public void Deriv()
{
var simp = new Derivative(new Add(new Number(2), new Number(3)));
var expected = new Derivative(new Number(5));
SimpleTest(simp, expected);
}
public void DoubleDiffTest()
{
var exp = new Derivative(new Derivative(new Sin(new Variable("x")), new Variable("x")), new Variable("x"));
var deriv = Differentiate(exp);
Assert.Equal("-(sin(x) * 1) * 1", deriv.ToString());
}
public void DerivTest()
{
var exp = new Derivative(new Number(2));
var deriv = Differentiate(exp);
Assert.Equal("0", deriv.ToString());
}
public void SolveExpTest()
{
var lexer = new Mock<ILexer>();
var parser = new Mock<IParser>();
var simplifier = new Mock<ISimplifier>();
var differentiator = new Mock<IDifferentiator>();
var strExp = "deriv(x)";
var exp = new Derivative(new Variable("x"), new Variable("x"));
var diff = new Number(1);
var tokens = new List<IToken>
{
new FunctionToken(Functions.Derivative, 1),
new SymbolToken(Symbols.OpenBracket),
new VariableToken("x"),
new SymbolToken(Symbols.CloseBracket)
};
lexer.Setup(l => l.Tokenize(strExp)).Returns(() => tokens);
parser.Setup(p => p.Parse(tokens)).Returns(() => exp);
simplifier.Setup(s => s.Analyze(It.IsAny<Number>())).Returns<Number>(e => e);
simplifier.Setup(s => s.Analyze(It.IsAny<Derivative>())).Returns<Derivative>(e => e);
differentiator.Setup(d => d.Analyze(It.IsAny<Derivative>())).Returns(() => diff);
differentiator.SetupProperty(d => d.Variable);
differentiator.SetupProperty(d => d.Parameters);
exp.Differentiator = differentiator.Object;
exp.Simplifier = simplifier.Object;
var processor = new Processor(lexer.Object, parser.Object, simplifier.Object, differentiator.Object);
var result = processor.Solve<ExpressionResult>(strExp);
lexer.Verify(l => l.Tokenize(It.IsAny<string>()), Times.Once());
parser.Verify(p => p.Parse(It.IsAny<IEnumerable<IToken>>()), Times.Once());
Assert.Equal(new Number(1), result.Result);
}
public void ToStringVarTest()
{
var deriv = new Derivative(new Sin(new Variable("x")), new Variable("x"));
Assert.Equal("deriv(sin(x), x)", deriv.ToString());
}
public void ToStringPointTest()
{
var deriv = new Derivative(new Sin(new Variable("x")), new Variable("x"), new Number(1));
Assert.Equal("deriv(sin(x), x, 1)", deriv.ToString());
}
/// <summary>
/// Creates an expression object from <see cref="FunctionToken"/>.
/// </summary>
/// <param name="token">The function token.</param>
/// <returns>An expression.</returns>
protected virtual IExpression CreateFunction(FunctionToken token)
{
IExpression exp;
switch (token.Function)
{
case Functions.Add:
exp = new Add(); break;
case Functions.Sub:
exp = new Sub(); break;
case Functions.Mul:
exp = new Mul(); break;
case Functions.Div:
exp = new Div(); break;
case Functions.Pow:
exp = new Pow(); break;
case Functions.Absolute:
exp = new Abs(); break;
case Functions.Sine:
exp = new Sin(); break;
case Functions.Cosine:
exp = new Cos(); break;
case Functions.Tangent:
exp = new Tan(); break;
case Functions.Cotangent:
exp = new Cot(); break;
case Functions.Secant:
exp = new Sec(); break;
case Functions.Cosecant:
exp = new Csc(); break;
case Functions.Arcsine:
exp = new Arcsin(); break;
case Functions.Arccosine:
exp = new Arccos(); break;
case Functions.Arctangent:
exp = new Arctan(); break;
case Functions.Arccotangent:
exp = new Arccot(); break;
case Functions.Arcsecant:
exp = new Arcsec(); break;
case Functions.Arccosecant:
exp = new Arccsc(); break;
case Functions.Sqrt:
exp = new Sqrt(); break;
case Functions.Root:
exp = new Root(); break;
case Functions.Ln:
exp = new Ln(); break;
case Functions.Lg:
exp = new Lg(); break;
case Functions.Lb:
exp = new Lb(); break;
case Functions.Log:
exp = new Log(); break;
case Functions.Sineh:
exp = new Sinh(); break;
case Functions.Cosineh:
exp = new Cosh(); break;
case Functions.Tangenth:
exp = new Tanh(); break;
case Functions.Cotangenth:
exp = new Coth(); break;
case Functions.Secanth:
exp = new Sech(); break;
case Functions.Cosecanth:
exp = new Csch(); break;
case Functions.Arsineh:
exp = new Arsinh(); break;
case Functions.Arcosineh:
exp = new Arcosh(); break;
case Functions.Artangenth:
exp = new Artanh(); break;
case Functions.Arcotangenth:
exp = new Arcoth(); break;
case Functions.Arsecanth:
exp = new Arsech(); break;
case Functions.Arcosecanth:
exp = new Arcsch(); break;
case Functions.Exp:
exp = new Exp(); break;
case Functions.GCD:
exp = new GCD(); break;
case Functions.LCM:
exp = new LCM(); break;
case Functions.Factorial:
exp = new Fact(); break;
case Functions.Sum:
exp = new Sum(); break;
case Functions.Product:
exp = new Product(); break;
case Functions.Round:
exp = new Round(); break;
case Functions.Floor:
exp = new Floor(); break;
case Functions.Ceil:
exp = new Ceil(); break;
case Functions.Derivative:
exp = new Derivative(); break;
case Functions.Simplify:
exp = new Simplify(); break;
case Functions.Del:
exp = new Del(); break;
case Functions.Define:
exp = new Define(); break;
case Functions.Vector:
exp = new Vector(); break;
case Functions.Matrix:
exp = new Matrix(); break;
case Functions.Transpose:
exp = new Transpose(); break;
case Functions.Determinant:
exp = new Determinant(); break;
case Functions.Inverse:
exp = new Inverse(); break;
case Functions.If:
exp = new If(); break;
case Functions.For:
exp = new For(); break;
case Functions.While:
exp = new While(); break;
case Functions.Undefine:
exp = new Undefine(); break;
case Functions.Im:
exp = new Im(); break;
case Functions.Re:
exp = new Re(); break;
case Functions.Phase:
exp = new Phase(); break;
case Functions.Conjugate:
exp = new Conjugate(); break;
case Functions.Reciprocal:
exp = new Reciprocal(); break;
case Functions.Min:
exp = new Min(); break;
case Functions.Max:
exp = new Max(); break;
case Functions.Avg:
exp = new Avg(); break;
case Functions.Count:
exp = new Count(); break;
case Functions.Var:
exp = new Var(); break;
case Functions.Varp:
exp = new Varp(); break;
case Functions.Stdev:
exp = new Stdev(); break;
case Functions.Stdevp:
exp = new Stdevp(); break;
default:
exp = null; break;
}
var diff = exp as DifferentParametersExpression;
if (diff != null)
diff.ParametersCount = token.CountOfParams;
return exp;
}
