public void ReplaceFunction()
{
var x = new Symbol("x");
var f = new SymbolFunction("f");
Assert.IsTrue(_.Same(1 + 2 * (x + 2), (1 + f._(x + 2)).Replace(
new Rule(f._(~x), 2 * x))));
}
public void ReplaceFunctionDerivative()
{
var x = new Symbol("x");
var f = new SymbolFunction("f", x);
Assert.IsTrue(_.Same(1 + 2 * x, (1 + f.D()._(x)).Replace(
new Rule(f._(~x), _.Pow(x, 2)))));
Assert.IsTrue(_.Same(4 * x, (f.D()._(2 * x)).Replace(
new Rule(f._(~x), _.Pow(x, 2)))));
}
public void SymbolFunctionString()
{
var x = new Symbol("x");
var f = new SymbolFunction("f");
var g = new SymbolFunction("g", x);
Assert.AreEqual("f[]", f.ToString());
Assert.AreEqual("g[x]", g.ToString());
Assert.AreEqual("f[x,x+1]", f._(x, x + 1).ToString());
}
public void SymbolFunctionCreate()
{
var x = new Symbol("x");
var f = new SymbolFunction("f");
var g = new SymbolFunction("g", x);
Assert.AreEqual("f", f.Name);
Assert.AreEqual(0, f.Arguments.Length);
Assert.AreEqual("g", g.Name);
Assert.AreEqual(1, g.Arguments.Length);
var f1 = f._(x);
Assert.AreEqual("f", f1.Name);
Assert.AreEqual(1, f1.Arguments.Length);
}