public void CompileFuncWithParameter()
{
var expectedFunc = new Func<double, double, double, double>((x, a, b) =>
Math.Cos(x * b) * b - Math.Log(a) / Math.Pow(Math.Log(x), 2) / x); // derivative of log(x, a) + sin(x * b)
using (var mathAssembly = new MathAssembly(new MathFunc("log(x, a) + sin(x * b)", "x").GetDerivative().ToString(), "x"))
{
Assert.AreEqual(expectedFunc(5, 3, 4), mathAssembly.Func(5, 3, 4));
}
}
public void CompileFunc()
{
var expectedFunc = new Func<double, double>(x => Math.Sin(x) + Math.Pow(x, Math.Log(5 * x) - 10 / x));
using (var mathAssembly = new MathAssembly("Sin(x) + x ^ (Ln(5 * x) - 10 / x)", "x"))
{
for (int i = 1; i < 10; i++)
Assert.AreEqual(expectedFunc(i), mathAssembly.Func(i));
}
}
public void CompileFuncWithParameter()
{
var expectedFunc = new Func <double, double, double, double>((x, a, b) =>
Math.Cos(x * b) * b - Math.Log(a) / Math.Pow(Math.Log(x), 2) / x); // derivative of log(x, a) + sin(x * b)
using (var mathAssembly = new MathAssembly(new MathFunc("log(x, a) + sin(x * b)", "x").GetDerivative().ToString(), "x"))
{
Assert.AreEqual(expectedFunc(5, 3, 4), mathAssembly.Func(5, 3, 4));
}
}
public void CompileFuncWithUnknownFunc()
{
double delta = 0.000001;
var expectedFunc = new Func<double, Func<double, double>, double>((x, f) =>
Math.Cos(f(x)) * (f(x + delta) - f(x)) / delta); // derivative of sin(f(x))
using (var mathAssembly = new MathAssembly("sin(a(x))", "x"))
{
var func = new Func<double, double>(x => x * x);
Assert.AreEqual(expectedFunc(5, func), mathAssembly.FuncDerivative(5, func));
}
}
public void CompileFuncWithUnknownFunc()
{
double delta = 0.000001;
var expectedFunc = new Func <double, Func <double, double>, double>((x, f) =>
Math.Cos(f(x)) * (f(x + delta) - f(x)) / delta); // derivative of sin(f(x))
using (var mathAssembly = new MathAssembly("sin(a(x))", "x"))
{
var func = new Func <double, double>(x => x * x);
Assert.AreEqual(expectedFunc(5, func), mathAssembly.FuncDerivative(5, func));
}
}
public void CompileFunc()
{
var expectedFunc = new Func <double, double>(x => Math.Sin(x) + Math.Pow(x, Math.Log(5 * x) - 10 / x));
using (var mathAssembly = new MathAssembly("Sin(x) + x ^ (Ln(5 * x) - 10 / x)", "x"))
{
for (int i = 1; i < 10; i++)
{
Assert.AreEqual(expectedFunc(i), mathAssembly.Func(i));
}
}
}
public void CompileSampleFunc()
{
var exprString = "x ^ 3 + sin(3 * ln(x * 1)) + x ^ ln(2 * sin(3 * ln(x))) - 2 * x ^ 3";
var dotnetFunc = new Func<double, double>(x =>
Math.Pow(x, 3) + Math.Sin(3 * Math.Log(x * 1)) + Math.Pow(x, Math.Log(2 * Math.Sin(3 * Math.Log(x))) - 2 * Math.Pow(x, 3)));
using (var mathAssembly = new MathAssembly(exprString, "x"))
{
var rand = new Random();
int i = 0;
while (i < 5)
{
double x = rand.NextDouble();
var dotnet = dotnetFunc(x);
if (!double.IsNaN(dotnet))
{
var correct = WolframAlphaUtils.GetValue(exprString, new KeyValuePair<string, double>("x", x));
var actual = mathAssembly.Func(x);
Assert.LessOrEqual(Math.Abs(correct - actual), Math.Abs(dotnet - actual));
i++;
}
}
}
}
public void CompileSampleFunc()
{
var exprString = "x ^ 3 + sin(3 * ln(x * 1)) + x ^ ln(2 * sin(3 * ln(x))) - 2 * x ^ 3";
var dotnetFunc = new Func <double, double>(x =>
Math.Pow(x, 3) + Math.Sin(3 * Math.Log(x * 1)) + Math.Pow(x, Math.Log(2 * Math.Sin(3 * Math.Log(x))) - 2 * Math.Pow(x, 3)));
using (var mathAssembly = new MathAssembly(exprString, "x"))
{
var rand = new Random();
int i = 0;
while (i < 5)
{
double x = rand.NextDouble();
var dotnet = dotnetFunc(x);
if (!double.IsNaN(dotnet))
{
var correct = WolframAlphaUtils.GetValue(exprString, new KeyValuePair <string, double>("x", x));
var actual = mathAssembly.Func(x);
Assert.LessOrEqual(Math.Abs(correct - actual), Math.Abs(dotnet - actual));
i++;
}
}
}
}