Example #1
0
        // (lim x->0) 1/sin(x)
        public void CalculateLimit_AndReturnsCorrectLimit_8()
        {
            var numerator = new List <Summand>
            {
                new Summand()
            };

            var denominator = new List <Summand>
            {
                new Summand
                {
                    Multiplicands = new List <IElementaryFunction>
                    {
                        new Sine {
                            Aparam = 1
                        }
                    }
                }
            };

            var normalizedFunction = new NormalizedFunction
            {
                Numerator   = numerator,
                Denominator = denominator
            };

            var result = LimitCalculator.CalculateLimit(normalizedFunction, 0);

            result.LimitResultType.Should().Be(LimitResultType.DoesNotExist);
        }
Example #2
0
        // (lim x->0) 1/x
        public void CalculateLimit_AndReturnsCorrectLimit_6()
        {
            var numerator = new List <Summand>
            {
                new Summand()
            };

            var denominator = new List <Summand>
            {
                new Summand
                {
                    PolynomialDegree = 1
                }
            };

            var normalizedFunction = new NormalizedFunction
            {
                Numerator   = numerator,
                Denominator = denominator
            };

            var result = LimitCalculator.CalculateLimit(normalizedFunction, 0);

            result.LimitResultType.Should().Be(LimitResultType.DoesNotExist);
        }
Example #3
0
        // (lim x->0) 1/-(x^2)
        public void CalculateLimit_AndReturnsCorrectLimit_7()
        {
            var numerator = new List <Summand>
            {
                new Summand()
            };

            var denominator = new List <Summand>
            {
                new Summand
                {
                    Coefficient      = -1,
                    PolynomialDegree = 2
                }
            };

            var normalizedFunction = new NormalizedFunction
            {
                Numerator   = numerator,
                Denominator = denominator
            };

            var result = LimitCalculator.CalculateLimit(normalizedFunction, 0);

            result.LimitResultType.Should().Be(LimitResultType.NegativeInfinity);
        }
Example #4
0
        // (lim x->1) sin(x - 1) = 0
        public void CalculateLimit_MKD_67_4()
        {
            var numerator = new List <Summand>
            {
                new Summand
                {
                    Coefficient   = 1.0,
                    Multiplicands = new List <IElementaryFunction>
                    {
                        new Sine {
                            Aparam = 1.0, Bparam = -1.0
                        }
                    }
                }
            };

            var denominator = new List <Summand>
            {
                new Summand
                {
                    Coefficient = 1.0
                }
            };

            var normalizedFunction = new NormalizedFunction
            {
                Numerator   = numerator,
                Denominator = denominator
            };

            var result = LimitCalculator.CalculateLimit(normalizedFunction, 1);

            result.LimitResultType.Should().Be(LimitResultType.RealNumber);
            result.Value.Should().Be(0.0);
        }
Example #5
0
        // (lim x->-infinity) (x^2+x) = +infinity
        public void CalculatePoviloLimit4()
        {
            var numerator = new List <Summand>
            {
                new Summand
                {
                    Coefficient      = 1,
                    PolynomialDegree = 2,
                },

                new Summand
                {
                    Coefficient      = 1,
                    PolynomialDegree = 1,
                }
            };
            var denominator = new List <Summand>
            {
                new Summand
                {
                    Coefficient = 1
                }
            };

            var normalizedFunction = new NormalizedFunction
            {
                Denominator = denominator,
                Numerator   = numerator,
            };

            var result = LimitCalculator.CalculateLimit(normalizedFunction, 10);

            result.LimitResultType.Should().Be(LimitResultType.RealNumber);
            result.Value.Should().Be(110.0);
        }
Example #6
0
        // (lim x->-Pi) cos(0.5*x) = 0
        public void CalculateLimit_MKD_68_25()
        {
            var numerator = new List <Summand>
            {
                new Summand
                {
                    Coefficient   = 1,
                    Multiplicands = new List <IElementaryFunction>
                    {
                        new Cosine {
                            Aparam = 0.5
                        }
                    }
                },
            };

            var denominator = new List <Summand>
            {
                new Summand
                {
                    Coefficient = 1
                }
            };

            var normalizedFunction = new NormalizedFunction
            {
                Numerator   = numerator,
                Denominator = denominator
            };

            var result = LimitCalculator.CalculateLimit(normalizedFunction, -Math.PI);

            result.LimitResultType.Should().Be(LimitResultType.RealNumber);
            result.Value.Should().Be(0);
        }
Example #7
0
        // (lim x->2) 1 / x  = 0.5
        public void CalculateLimit_MKD_67_2()
        {
            var numerator = new List <Summand>
            {
                new Summand
                {
                    Coefficient = 1.0
                }
            };

            var denominator = new List <Summand>
            {
                new Summand
                {
                    Coefficient      = 1.0,
                    PolynomialDegree = 1
                }
            };

            var normalizedFunction = new NormalizedFunction
            {
                Numerator   = numerator,
                Denominator = denominator
            };

            var result = LimitCalculator.CalculateLimit(normalizedFunction, 2);

            result.LimitResultType.Should().Be(LimitResultType.RealNumber);
            result.Value.Should().Be(0.5);
        }
Example #8
0
        // (lim x->1) (x^4 - x^3 + x^2 - 3x + 3) / (x^3 - x^2 - x + 1) = +INF
        public void CalculateLimit_MKD_74_2()
        {
            var numerator = new List <Summand>
            {
                new Summand
                {
                    PolynomialDegree = 4
                },
                new Summand
                {
                    Coefficient      = -1,
                    PolynomialDegree = 3
                },
                new Summand
                {
                    PolynomialDegree = 2
                },
                new Summand
                {
                    Coefficient      = -3,
                    PolynomialDegree = 1
                },
                new Summand
                {
                    Coefficient = 3,
                }
            };

            var denominator = new List <Summand>
            {
                new Summand
                {
                    PolynomialDegree = 3
                },
                new Summand
                {
                    Coefficient      = -1,
                    PolynomialDegree = 2
                },
                new Summand
                {
                    Coefficient      = -1,
                    PolynomialDegree = 1
                },
                new Summand
                {
                    Coefficient = 1
                }
            };

            var normalizedFunction = new NormalizedFunction
            {
                Numerator   = numerator,
                Denominator = denominator
            };

            var result = LimitCalculator.CalculateLimit(normalizedFunction, 1);

            result.LimitResultType.Should().Be(LimitResultType.PositiveInfinity);
        }
Example #9
0
        // (lim x->11) ln(x) - ln(11) / x-11 = 1/11
        public void Calculate_Antano_Limit_8_ln()
        {
            var numerator = new List <Summand>
            {
                new Summand
                {
                    Coefficient   = 1.0,
                    Multiplicands = new List <IElementaryFunction>
                    {
                        new LogarithmicFunction {
                            Aparam = 1, Bparam = 0
                        }
                    }
                },
                new Summand
                {
                    Coefficient   = -1.0,
                    Multiplicands = new List <IElementaryFunction>
                    {
                        new LogarithmicFunction {
                            Aparam = 0, Bparam = 11
                        }
                    }
                }
            };

            var denominator = new List <Summand>
            {
                new Summand
                {
                    Coefficient      = 1.0,
                    PolynomialDegree = 1
                },
                new Summand
                {
                    Coefficient = -11.0
                }
            };

            var normalizedFunction = new NormalizedFunction
            {
                Numerator   = numerator,
                Denominator = denominator
            };

            var result = LimitCalculator.CalculateLimit(normalizedFunction, 11);

            result.LimitResultType.Should().Be(LimitResultType.RealNumber);
            result.Value.Should().Be(1.0 / 11.0);
        }
Example #10
0
        public void CalculateLimit_MKD_69_30_StringParse()
        {
            string numeratorString    = "sin(x)";
            string denominatorString  = "ln(1+2*x)";
            var    normalizedFunction = new NormalizedFunction
            {
                Numerator   = StringToSummand.Parse(numeratorString),
                Denominator = StringToSummand.Parse(denominatorString),
            };

            var result = LimitCalculator.CalculateLimit(normalizedFunction, 0.0);

            result.LimitResultType.Should().Be(LimitResultType.RealNumber);
            result.Value.Should().Be(0.5);
        }
Example #11
0
        // (lim x->0) (ln(3*x + 5) - ln(5) - 3/5/1*x + 9/25/2*(x^2)) / (x^3) = 27/125/3
        public void CalculateLimit_AndReturnsCorrectLimit_10()
        {
            var numerator = new List <Summand>
            {
                new Summand
                {
                    Multiplicands = new List <IElementaryFunction>
                    {
                        new LogarithmicFunction {
                            Aparam = 3, Bparam = 5
                        }
                    }
                },
                new Summand
                {
                    Coefficient = -Math.Log(5)
                },
                new Summand
                {
                    Coefficient      = -3.0 / 5,
                    PolynomialDegree = 1
                },
                new Summand
                {
                    Coefficient      = 9.0 / 25 / 2,
                    PolynomialDegree = 2
                }
            };

            var denominator = new List <Summand>
            {
                new Summand
                {
                    PolynomialDegree = 3
                }
            };

            var normalizedFunction = new NormalizedFunction
            {
                Numerator   = numerator,
                Denominator = denominator
            };

            var result = LimitCalculator.CalculateLimit(normalizedFunction, 0);

            result.LimitResultType.Should().Be(LimitResultType.RealNumber);
            result.Value.Should().Be(27.0 / 125 / 3);
        }
Example #12
0
        // (lim x->PI/2) 1-sinx / cosx^2 = 1/2
        public void Calculate_Antano_Limit_12_sin()
        {
            var numerator = new List <Summand>
            {
                new Summand
                {
                    Coefficient   = -1.0,
                    Multiplicands = new List <IElementaryFunction>
                    {
                        new Sine {
                            Aparam = 1, Bparam = 0
                        }
                    }
                },
                new Summand
                {
                    Coefficient = 1.0,
                }
            };

            var denominator = new List <Summand>
            {
                new Summand
                {
                    Coefficient   = 1.0,
                    Multiplicands = new List <IElementaryFunction>
                    {
                        new Cosine {
                            Aparam = 1, Bparam = 0
                        },
                        new Cosine {
                            Aparam = 1, Bparam = 0
                        }
                    }
                }
            };

            var normalizedFunction = new NormalizedFunction
            {
                Numerator   = numerator,
                Denominator = denominator
            };

            var result = LimitCalculator.CalculateLimit(normalizedFunction, Math.PI / 2);

            result.LimitResultType.Should().Be(LimitResultType.RealNumber);
            result.Value.Should().Be(0.5);
        }
Example #13
0
        public void CalculateLimit_AndReturnsCorrectLimit_9_StringParse()
        {
            string numeratorString   = "x^(1/5)";
            string denominatorString = "x^(1/3)";

            var normalizedFunction = new NormalizedFunction
            {
                Numerator   = StringToSummand.Parse(numeratorString),
                Denominator = StringToSummand.Parse(denominatorString),
            };


            var result = LimitCalculator.CalculateLimit(normalizedFunction, 0);

            result.LimitResultType.Should().Be(LimitResultType.PositiveInfinity);
        }
Example #14
0
        public void CalculateLimit_MKD_67_16_StringParse()
        {
            string numeratorString   = "1-cos(Pi*x+2)";
            string denominatorString = "1";

            var normalizedFunction = new NormalizedFunction
            {
                Numerator   = StringToSummand.Parse(numeratorString),
                Denominator = StringToSummand.Parse(denominatorString),
            };

            var result = LimitCalculator.CalculateLimit(normalizedFunction, -2 / Math.PI);

            result.LimitResultType.Should().Be(LimitResultType.RealNumber);
            result.Value.Should().Be(0);
        }
Example #15
0
        // (lim x->0) (sin(x) - x) / (sin(x) * x) = 0
        public void CalculateLimit_AndReturnsCorrectLimit_1()
        {
            var numerator = new List <Summand>
            {
                new Summand
                {
                    Coefficient   = 1.0,
                    Multiplicands = new List <IElementaryFunction>
                    {
                        new Sine {
                            Aparam = 1, Bparam = 0
                        }
                    }
                },
                new Summand
                {
                    Coefficient      = -1.0,
                    PolynomialDegree = 1
                }
            };

            var denominator = new List <Summand>
            {
                new Summand
                {
                    Coefficient      = 1.0,
                    PolynomialDegree = 1,
                    Multiplicands    = new List <IElementaryFunction>
                    {
                        new Sine {
                            Aparam = 1, Bparam = 0
                        }
                    }
                }
            };

            var normalizedFunction = new NormalizedFunction
            {
                Numerator   = numerator,
                Denominator = denominator
            };

            var result = LimitCalculator.CalculateLimit(normalizedFunction, 0);

            result.LimitResultType.Should().Be(LimitResultType.RealNumber);
            result.Value.Should().Be(0.0);
        }
Example #16
0
        // (lim x->1) (x^101 - 101*x + 100)/ (x^2 - 2*x + 1) = 5050
        public void CalculateLimit_MKD_74_1()
        {
            var numerator = new List <Summand>
            {
                new Summand
                {
                    PolynomialDegree = 101
                },
                new Summand
                {
                    Coefficient      = -101,
                    PolynomialDegree = 1
                },
                new Summand
                {
                    Coefficient = 100
                }
            };

            var denominator = new List <Summand>
            {
                new Summand
                {
                    PolynomialDegree = 2
                },
                new Summand
                {
                    Coefficient      = -2,
                    PolynomialDegree = 1
                },
                new Summand
                {
                    Coefficient = 1
                }
            };

            var normalizedFunction = new NormalizedFunction
            {
                Numerator   = numerator,
                Denominator = denominator
            };

            var result = LimitCalculator.CalculateLimit(normalizedFunction, 1);

            result.LimitResultType.Should().Be(LimitResultType.RealNumber);
            result.Value.Should().Be(5050);
        }
Example #17
0
        // (lim x->0) (cos(3*x) - cos(7*x)) / x^2 = 20
        public void CalculateLimit_MKD_69_27()
        {
            var numerator = new List <Summand>
            {
                new Summand
                {
                    Coefficient   = 1.0,
                    Multiplicands = new List <IElementaryFunction>
                    {
                        new Cosine {
                            Aparam = 3
                        }
                    }
                },
                new Summand
                {
                    Coefficient   = -1.0,
                    Multiplicands = new List <IElementaryFunction>
                    {
                        new Cosine {
                            Aparam = 7
                        }
                    }
                }
            };

            var denominator = new List <Summand>
            {
                new Summand
                {
                    Coefficient      = 1.0,
                    PolynomialDegree = 2
                }
            };

            var normalizedFunction = new NormalizedFunction
            {
                Numerator   = numerator,
                Denominator = denominator
            };

            var result = LimitCalculator.CalculateLimit(normalizedFunction, 0.0);

            result.LimitResultType.Should().Be(LimitResultType.RealNumber);
            result.Value.Should().Be(20);
        }
Example #18
0
 private void CountLimit_Click(object sender, EventArgs e)
 {
     if (string.IsNullOrWhiteSpace(NuText.Text) || string.IsNullOrWhiteSpace(DeText.Text) || string.IsNullOrWhiteSpace(XgoTo.Text))
     {
         ErrorBox.Text = "Fields can't be empty";
         return;
     }
     try
     {
         var normalizedFunction = new NormalizedFunction
         {
             Numerator   = Stack_Numerator.ToList(),
             Denominator = Stack_Denominator.ToList()
         };
         var result = LimitCalculator.CalculateLimit(normalizedFunction, Convert.ToDouble(XgoTo.Text));
         if (result.LimitResultType == LimitResultType.RealNumber)
         {
             Limit_Answer.Text = Convert.ToString(result.Value);
         }
         if (result.LimitResultType == LimitResultType.DoesNotExist)
         {
             Limit_Answer.Text = "Not exist";
         }
         if (result.LimitResultType == LimitResultType.PositiveInfinity)
         {
             Limit_Answer.Text = "Positive infinity";
         }
         if (result.LimitResultType == LimitResultType.NegativeInfinity)
         {
             Limit_Answer.Text = "Negative infinity";
         }
     }
     catch (LimitDoesNotExistException)
     {
         Limit_Answer.Text = "Not exist";
     }
     catch (Exception ex)
     {
         ErrorBox.Text = ex.Message;
     }
     finally
     {
         CountLimit.Enabled = false;
     }
 }
Example #19
0
        public void CalculateLimit_MKD_67_1_StringParse()
        {
            string numeratorString   = "((5*x^2)-4*x-1)";
            string denominatorString = "(x-1)";

            //     var a = StringToSummand.FindPolynomialDegree("(5*x^2)");

            var normalizedFunction = new NormalizedFunction
            {
                Numerator   = StringToSummand.Parse(numeratorString),
                Denominator = StringToSummand.Parse(denominatorString)
            };

            var result = LimitCalculator.CalculateLimit(normalizedFunction, 1);

            result.LimitResultType.Should().Be(LimitResultType.RealNumber);
            result.Value.Should().Be(6.0);
        }
Example #20
0
        // (lim x->-2) ((x - 6)^(1/3) + 2) / (x + 2) = 1/12
        public void CalculateLimit_MKD_68_8()
        {
            var numerator = new List <Summand>
            {
                new Summand
                {
                    Coefficient   = 1.0,
                    Multiplicands = new List <IElementaryFunction>
                    {
                        new PowerFunction {
                            Aparam = 1.0, Bparam = -6, PowerNumerator = 1, PowerDenominator = 3
                        }
                    }
                },
                new Summand
                {
                    Coefficient = 2.0
                }
            };

            var denominator = new List <Summand>
            {
                new Summand
                {
                    Coefficient      = 1.0,
                    PolynomialDegree = 1
                },
                new Summand
                {
                    Coefficient = 2.0,
                }
            };

            var normalizedFunction = new NormalizedFunction
            {
                Numerator   = numerator,
                Denominator = denominator
            };

            var result = LimitCalculator.CalculateLimit(normalizedFunction, -2.0);

            result.LimitResultType.Should().Be(LimitResultType.RealNumber);
            result.Value.Should().Be(1.0 / 12.0);
        }
Example #21
0
        // (lim x->-1)(x^2+6x+5) / (x^2-1) = -2
        public void Calculate_Antano_Limit_3()
        {
            var numerator = new List <Summand>
            {
                new Summand
                {
                    Coefficient      = 1.0,
                    PolynomialDegree = 2
                },
                new Summand
                {
                    Coefficient      = 6.0,
                    PolynomialDegree = 1
                },
                new Summand
                {
                    Coefficient = 5.0
                }
            };

            var denominator = new List <Summand>
            {
                new Summand
                {
                    Coefficient      = 1.0,
                    PolynomialDegree = 2
                },
                new Summand
                {
                    Coefficient = -1.0
                }
            };

            var normalizedFunction = new NormalizedFunction
            {
                Numerator   = numerator,
                Denominator = denominator
            };

            var result = LimitCalculator.CalculateLimit(normalizedFunction, -1.0);

            result.LimitResultType.Should().Be(LimitResultType.RealNumber);
            result.Value.Should().Be(-2.0);
        }
Example #22
0
        // (lim x->1) ((x - 1)^(1/2)) / ((x - 1)^(1/3) * (x + 1)^(1/3)) NOT EXISTS
        public void CalculateLimit_MKD_68_10()
        {
            var numerator = new List <Summand>
            {
                new Summand
                {
                    Coefficient   = 1.0,
                    Multiplicands = new List <IElementaryFunction>
                    {
                        new PowerFunction {
                            Aparam = 1.0, Bparam = -1.0, PowerNumerator = 1, PowerDenominator = 2
                        }
                    }
                }
            };

            var denominator = new List <Summand>
            {
                new Summand
                {
                    Coefficient   = 1.0,
                    Multiplicands = new List <IElementaryFunction>
                    {
                        new PowerFunction {
                            Aparam = 1.0, Bparam = -1.0, PowerNumerator = 1, PowerDenominator = 3
                        },
                        new PowerFunction {
                            Aparam = 1.0, Bparam = 1.0, PowerNumerator = 1, PowerDenominator = 3
                        }
                    }
                }
            };

            var normalizedFunction = new NormalizedFunction
            {
                Numerator   = numerator,
                Denominator = denominator
            };

            var result = LimitCalculator.CalculateLimit(normalizedFunction, 1.0);

            result.LimitResultType.Should().Be(LimitResultType.DoesNotExist);
        }
Example #23
0
        // (lim x->1) 5x-x^0.5 = 4
        public void CalculatePoviloLimit1()
        {
            var numerator = new List <Summand>
            {
                new Summand
                {
                    Coefficient   = -1.0,
                    Multiplicands = new List <IElementaryFunction>
                    {
                        new PowerFunction {
                            Aparam = 1, Bparam = 0, PowerNumerator = 1, PowerDenominator = 2
                        }
                    }
                },
                new Summand
                {
                    Coefficient      = 5.0,
                    PolynomialDegree = 1,
                }
            };

            var denominator = new List <Summand>
            {
                new Summand
                {
                    Coefficient = 1
                }
            };

            var normalizedFunction = new NormalizedFunction
            {
                Numerator   = numerator,
                Denominator = denominator
            };

            var result = LimitCalculator.CalculateLimit(normalizedFunction, 1);

            result.LimitResultType.Should().Be(LimitResultType.RealNumber);
            result.Value.Should().Be(4);
        }
Example #24
0
        // x->-1 (x^3+1)/sin(x+1)
        public void Kuznecov_15_3()
        {
            var numerator = new List <Summand>
            {
                new Summand
                {
                    Coefficient      = 1.0,
                    PolynomialDegree = 3
                },
                new Summand
                {
                    Coefficient = 1.0,
                },
            };

            var denominator = new List <Summand>
            {
                new Summand
                {
                    Coefficient   = 1.0,
                    Multiplicands = new List <IElementaryFunction>
                    {
                        new Sine {
                            Aparam = 1.0, Bparam = 1.0
                        }
                    }
                }
            };

            var normalizedFunction = new NormalizedFunction
            {
                Numerator   = numerator,
                Denominator = denominator
            };

            var result = LimitCalculator.CalculateLimit(normalizedFunction, -1);

            result.LimitResultType.Should().Be(LimitResultType.RealNumber);
            result.Value.Should().Be(3.0);
        }
Example #25
0
        // (lim x->0)(x) / ((4-x)^1/2)-2 = -4
        public void Calculate_Antano_Limit_4()
        {
            var numerator = new List <Summand>
            {
                new Summand
                {
                    PolynomialDegree = 1,
                    Coefficient      = 1.0
                }
            };

            var denominator = new List <Summand>
            {
                new Summand
                {
                    Coefficient   = 1.0,
                    Multiplicands = new List <IElementaryFunction>
                    {
                        new PowerFunction {
                            Aparam = -1, Bparam = 4, PowerNumerator = 1, PowerDenominator = 2
                        }
                    }
                },
                new Summand
                {
                    Coefficient = -2.0
                }
            };

            var normalizedFunction = new NormalizedFunction
            {
                Numerator   = numerator,
                Denominator = denominator
            };

            var result = LimitCalculator.CalculateLimit(normalizedFunction, 0);

            result.LimitResultType.Should().Be(LimitResultType.RealNumber);
            result.Value.Should().Be(-4.0);
        }
Example #26
0
        // (lim x->0) (x^(1/5)) / (x^(1/3)) = +INF
        public void CalculateLimit_AndReturnsCorrectLimit_9()
        {
            var numerator = new List <Summand>
            {
                new Summand
                {
                    Multiplicands = new List <IElementaryFunction>
                    {
                        new PowerFunction()
                        {
                            Aparam = 1, PowerNumerator = 1, PowerDenominator = 5
                        }
                    }
                }
            };

            var denominator = new List <Summand>
            {
                new Summand
                {
                    Multiplicands = new List <IElementaryFunction>
                    {
                        new PowerFunction {
                            Aparam = 1, PowerNumerator = 1, PowerDenominator = 3
                        }
                    }
                }
            };

            var normalizedFunction = new NormalizedFunction
            {
                Numerator   = numerator,
                Denominator = denominator
            };

            var result = LimitCalculator.CalculateLimit(normalizedFunction, 0);

            result.LimitResultType.Should().Be(LimitResultType.PositiveInfinity);
        }
Example #27
0
        // (lim x->0) sin (x + 3) = sin(3) ~ 0.141120008059867
        public void CalculateLimit_AndReturnsCorrectLimit_5()
        {
            var numerator = new List <Summand>
            {
                new Summand
                {
                    Coefficient   = 1.0,
                    Multiplicands = new List <IElementaryFunction>
                    {
                        new Sine()
                        {
                            Aparam = 1.0,
                            Bparam = 3
                        }
                    }
                }
            };

            var denominator = new List <Summand>
            {
                new Summand
                {
                    Coefficient = 1.0
                }
            };

            var normalizedFunction = new NormalizedFunction
            {
                Numerator   = numerator,
                Denominator = denominator
            };

            var result = LimitCalculator.CalculateLimit(normalizedFunction, 0);

            result.LimitResultType.Should().Be(LimitResultType.RealNumber);
            MathHelper.AreApproximatelyEqual(result.Value, 0.141, 0.005).Should().BeTrue();
        }
Example #28
0
        // (lim x->0) x / 2^x = 0
        public void Calculate_Antano_Limit_9_EX()
        {
            var numerator = new List <Summand>
            {
                new Summand
                {
                    Coefficient      = 1.0,
                    PolynomialDegree = 1
                }
            };

            var denominator = new List <Summand>
            {
                new Summand
                {
                    Coefficient   = 1.0,
                    Multiplicands = new List <IElementaryFunction>
                    {
                        new ExponentialFunction {
                            Aparam = 2, Bparam = 0
                        },
                    }
                }
            };

            var normalizedFunction = new NormalizedFunction
            {
                Numerator   = numerator,
                Denominator = denominator
            };

            var result = LimitCalculator.CalculateLimit(normalizedFunction, 0);

            result.LimitResultType.Should().Be(LimitResultType.RealNumber);
            result.Value.Should().Be(0);
        }
Example #29
0
        // tg(x) replaced with sin(x) / cos(x)
        // (lim x->0) (cos(x) * (e^(7x) - e^(2x))) / sin(x) = 5
        public void CalculateLimit_MKD_69_33()
        {
            var numerator = new List <Summand>
            {
                new Summand
                {
                    Coefficient   = 1.0,
                    Multiplicands = new List <IElementaryFunction>
                    {
                        new Cosine {
                            Aparam = 1
                        }
                    },
                    SumsRaisedToPower = new List <SumRaisedToPower>
                    {
                        new SumRaisedToPower
                        {
                            Degree = 1,
                            Sum    = new List <Summand>
                            {
                                new Summand
                                {
                                    Coefficient   = 1,
                                    Multiplicands = new List <IElementaryFunction>
                                    {
                                        new ExponentialFunction {
                                            Aparam = 7
                                        }
                                    }
                                },
                                new Summand
                                {
                                    Coefficient   = -1,
                                    Multiplicands = new List <IElementaryFunction>
                                    {
                                        new ExponentialFunction {
                                            Aparam = 2
                                        }
                                    }
                                }
                            }
                        }
                    }
                }
            };

            var denominator = new List <Summand>
            {
                new Summand
                {
                    Coefficient   = 1.0,
                    Multiplicands = new List <IElementaryFunction>
                    {
                        new Sine {
                            Aparam = 1
                        }
                    }
                }
            };

            var normalizedFunction = new NormalizedFunction
            {
                Numerator   = numerator,
                Denominator = denominator
            };

            var result = LimitCalculator.CalculateLimit(normalizedFunction, 0.0);

            result.LimitResultType.Should().Be(LimitResultType.RealNumber);
            result.Value.Should().Be(5);
        }
Example #30
0
        // (lim x->0)
        public void CalculateLimit_MKD_68_14()
        {
            var numerator = new List <Summand>
            {
                new Summand
                {
                    Coefficient   = 1.0,
                    Multiplicands = new List <IElementaryFunction>
                    {
                        new PowerFunction {
                            Aparam = 1.0, Bparam = 1.0, PowerNumerator = 1, PowerDenominator = 2
                        }
                    },
                    SumsRaisedToPower = new List <SumRaisedToPower>
                    {
                        new SumRaisedToPower
                        {
                            Degree = 1,
                            Sum    = new List <Summand>
                            {
                                new Summand
                                {
                                    Coefficient   = 1.0,
                                    Multiplicands = new List <IElementaryFunction>
                                    {
                                        new PowerFunction {
                                            Aparam = 1.0, Bparam = 1.0, PowerNumerator = 1, PowerDenominator = 2
                                        },
                                    }
                                },
                                new Summand
                                {
                                    Coefficient   = -1.0,
                                    Multiplicands = new List <IElementaryFunction>
                                    {
                                        new PowerFunction {
                                            Aparam = -1.0, Bparam = 1.0, PowerNumerator = 1, PowerDenominator = 2
                                        },
                                    }
                                }
                            }
                        }
                    }
                }
            };

            var denominator = new List <Summand>
            {
                new Summand
                {
                    Coefficient   = 1.0,
                    Multiplicands = new List <IElementaryFunction>
                    {
                        new PowerFunction {
                            Aparam = 1.0, Bparam = 0, PowerNumerator = 1, PowerDenominator = 5
                        },
                    }
                }
            };

            var normalizedFunction = new NormalizedFunction
            {
                Numerator   = numerator,
                Denominator = denominator
            };

            var result = LimitCalculator.CalculateLimit(normalizedFunction, 0.0);

            result.LimitResultType.Should().Be(LimitResultType.RealNumber);
            result.Value.Should().Be(0.0);
        }