public void AbsDerivativeTest2() { var num = new Number(2); var x = new Variable("x"); var mul = new Mul(num, x); var exp = new Abs(mul); var deriv = Differentiate(exp); Assert.Equal("2 * 1 * ((2 * x) / abs(2 * x))", deriv.ToString()); num.Value = 3; Assert.Equal("abs(3 * x)", exp.ToString()); Assert.Equal("2 * 1 * ((2 * x) / abs(2 * x))", deriv.ToString()); }
public void EqualsTest1() { Variable x1 = "x"; Number num1 = 2; Mul mul1 = new Mul(num1, x1); Abs abs1 = new Abs(mul1); Variable x2 = "x"; Number num2 = 2; Mul mul2 = new Mul(num2, x2); Abs abs2 = new Abs(mul2); Assert.IsTrue(abs1.Equals(abs2)); Assert.IsTrue(abs1.Equals(abs1)); }
public void AbsDerivativeTest2() { Number num = new Number(2); Variable x = new Variable("x"); Mul mul = new Mul(num, x); IExpression exp = new Abs(mul); IExpression deriv = Differentiate(exp); Assert.AreEqual("(2 * 1) * ((2 * x) / abs(2 * x))", deriv.ToString()); num.Value = 3; Assert.AreEqual("abs(3 * x)", exp.ToString()); Assert.AreEqual("(2 * 1) * ((2 * x) / abs(2 * x))", deriv.ToString()); }
public void AbsToStringTest() { var exp = new Abs(new ComplexNumber(3, 2)); Assert.Equal("abs(3+2i)", exp.ToString()); }
public void AbsPartialDerivativeTest2() { var exp = new Abs(new Mul(new Variable("x"), new Variable("y"))); var deriv = Differentiate(exp, new Variable("y")); Assert.Equal("x * 1 * ((x * y) / abs(x * y))", deriv.ToString()); }
/// <summary> /// Differentiates the specified expression. /// </summary> /// <param name="expression">The expression.</param> /// <param name="variable">The variable.</param> /// <returns>Returns the derivative.</returns> protected virtual IExpression Arcsec(Arcsec expression, Variable variable) { var abs = new Abs(expression.Argument.Clone()); var sqr = new Pow(expression.Argument.Clone(), new Number(2)); var sub = new Sub(sqr, new Number(1)); var sqrt = new Sqrt(sub); var mul = new Mul(abs, sqrt); var div = new Div(_Differentiate(expression.Argument.Clone(), variable), mul); return div; }
/// <summary> /// Differentiates the specified expression. /// </summary> /// <param name="expression">The expression.</param> /// <param name="variable">The variable.</param> /// <returns>Returns the derivative.</returns> protected virtual IExpression Arcsch(Arcsch expression, Variable variable) { var inv = new Pow(expression.Argument.Clone(), new Number(2)); var add = new Add(new Number(1), inv); var sqrt = new Sqrt(add); var abs = new Abs(expression.Argument.Clone()); var mul = new Mul(abs, sqrt); var div = new Div(_Differentiate(expression.Argument.Clone(), variable), mul); var unMinus = new UnaryMinus(div); return unMinus; }
/// <summary> /// Differentiates the specified expression. /// </summary> /// <param name="expression">The expression.</param> /// <param name="variable">The variable.</param> /// <returns>Returns the derivative.</returns> protected virtual IExpression Abs(Abs expression, Variable variable) { var div = new Div(expression.Argument.Clone(), expression.Clone()); var mul = new Mul(_Differentiate(expression.Argument.Clone(), variable), div); return mul; }
public void AbsPartialDerivativeTest2() { IExpression exp = new Abs(new Mul(new Variable("x"), new Variable("y"))); IExpression deriv = Differentiate(exp, new Variable("y")); Assert.AreEqual("(x * 1) * ((x * y) / abs(x * y))", deriv.ToString()); }
public void PartialDerivativeTest3() { IExpression deriv = new Abs(new Variable("x")).Differentiate(new Variable("y")); Assert.AreEqual("0", deriv.ToString()); }
public void DerivativeTest1() { IExpression exp = new Abs(new Variable("x")).Differentiate(); Assert.AreEqual("1 * (x / abs(x))", exp.ToString()); }
public void CalculateTest() { IExpression exp = new Abs(new Number(-1)); Assert.AreEqual(1.0, exp.Calculate()); }
/// <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; }
public void ExecuteTest3() { var exp = new Abs(new Vector(new IExpression[] { new Number(5), new Number(4), new Number(6), new Number(7) })); Assert.Equal(11.2249721603218241567, (double)exp.Execute(), 15); }
public void ExecuteTest2() { var exp = new Abs(new ComplexNumber(4, 2)); Assert.Equal(Complex.Abs(new Complex(4, 2)), exp.Execute()); }
public void ExecuteTest1() { var exp = new Abs(new Number(-1)); Assert.Equal(1.0, exp.Execute()); }