Exemplo n.º 1
0
        public void Calculate_Antano_Limit_1()
        {
            var numerator = new List<Summand>
            {
                new Summand
                {
                    Coefficient = 1.0,
                    Multiplicands = new List<IElementaryFunction>
                    {
                        new Sine {Aparam = 4, Bparam = 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, 0);

            result.LimitResultType.Should().Be(LimitResultType.RealNumber);
            result.Value.Should().Be(4.0);
        }
Exemplo n.º 2
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        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);
        }
Exemplo n.º 3
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);
        }
        public void CalculateLimit_MKD_67_1()
        {
            var numerator = new List<Summand>
            {
                new Summand
                {
                    Coefficient = 5.0,
                    PolynomialDegree = 2
                },
                new Summand
                {
                    Coefficient = -4.0,
                    PolynomialDegree = 1
                },
                new Summand
                {
                    Coefficient = -1.0
                }
            };

            var denominator = new List<Summand>
            {
                new Summand
                {
                    Coefficient = 1.0,
                    PolynomialDegree = 1
                },
                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(6.0);
        }
Exemplo n.º 5
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        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);
        }
        public void CalculateLimit_MKD_69_34()
        {
            var numerator = new List<Summand>
            {
                new Summand
                {
                    Coefficient = 1.0,
                    Multiplicands = new List<IElementaryFunction>
                    {
                        new Sine { Aparam = 7 * Math.PI }
                    }
                }
            };

            var denominator = new List<Summand>
            {
                new Summand
                {
                    Coefficient = 1.0,
                    Multiplicands = new List<IElementaryFunction>
                    {
                        new Sine { Aparam = 2 * Math.PI }
                    }
                }
            };

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

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

            result.LimitResultType.Should().Be(LimitResultType.RealNumber);
            result.Value.Should().Be(-3.5);
        }
        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);
        }
        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);
        }
Exemplo n.º 9
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        public static LimitResult CalculateLimit(NormalizedFunction normalizedFunction, double argument)
        {
            var raisedNumerator = normalizedFunction.Numerator.SelectMany(RaiseSumsToPower);
            var raisedDenominator = normalizedFunction.Denominator.SelectMany(RaiseSumsToPower);

            if (!MathHelper.IsZero(argument))
            {
                raisedNumerator = TransformArgumentToZero(raisedNumerator, argument);
                raisedDenominator = TransformArgumentToZero(raisedDenominator, argument);
            }

            var expandedNumerator = PerformTaylorExpansion(raisedNumerator);
            var expandedDenominator = PerformTaylorExpansion(raisedDenominator);

            var numeratorMinPolynomialWithoutO = expandedNumerator.FirstOrDefault(s => s.LittleODegree == 0);
            var denominatorMinPolynomialWithoutO = expandedDenominator.FirstOrDefault(s => s.LittleODegree == 0);

            if (denominatorMinPolynomialWithoutO == null)
            {
                return new LimitResult
                {
                    LimitResultType = LimitResultType.DoesNotExist,
                };
            }

            if (numeratorMinPolynomialWithoutO == null)
            {
                return new LimitResult
                {
                    LimitResultType = LimitResultType.RealNumber,
                    Value = 0
                };
            }

            var degreeNumerator = numeratorMinPolynomialWithoutO.PolynomialDegree *
                      denominatorMinPolynomialWithoutO.PolynomialDegreeDenominator
                      -
                      denominatorMinPolynomialWithoutO.PolynomialDegree *
                      numeratorMinPolynomialWithoutO.PolynomialDegreeDenominator;
            var degreeDenominator = denominatorMinPolynomialWithoutO.PolynomialDegreeDenominator *
                                    numeratorMinPolynomialWithoutO.PolynomialDegreeDenominator;

            if (degreeNumerator == 0)
            {
                return new LimitResult
                {
                    LimitResultType = LimitResultType.RealNumber,
                    Value = numeratorMinPolynomialWithoutO.Coefficient / denominatorMinPolynomialWithoutO.Coefficient
                };
            }

            var gcd = MathHelper.GreatestCommonDivisor(degreeNumerator >= 0 ? degreeNumerator : -degreeNumerator,
                degreeDenominator);

            degreeNumerator /= gcd;
            degreeDenominator /= gcd;

            if (degreeNumerator > 0 && (degreeDenominator == 1 || degreeNumerator % 2 == 0))
            {
                return new LimitResult
                {
                    LimitResultType = LimitResultType.RealNumber,
                    Value = 0
                };
            }

            if (degreeNumerator > 0 && degreeNumerator % 2 == 1)
            {
                return new LimitResult
                {
                    LimitResultType = LimitResultType.DoesNotExist,
                };
            }

            degreeNumerator = -degreeNumerator;

            if (degreeNumerator % 2 == 1)
            {
                return new LimitResult { LimitResultType = LimitResultType.DoesNotExist };
            }

            if (numeratorMinPolynomialWithoutO.Coefficient * denominatorMinPolynomialWithoutO.Coefficient > 0)
            {
                return new LimitResult { LimitResultType = LimitResultType.PositiveInfinity };
            }

            return new LimitResult { LimitResultType = LimitResultType.NegativeInfinity };
        }
Exemplo n.º 10
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        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);
        }
Exemplo n.º 11
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        public void Kuznecov_15_2()
        {
            var numerator = new List<Summand>
            {
                new Summand
                {
                    Coefficient=1.0
                },

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

                new Summand
                {
                    Coefficient = -1.0,
                    Multiplicands = new List<IElementaryFunction>
                    {
                        new Cosine { Aparam = 2.0, Bparam = 0}
                    }
                }
            };

            var denominator = new List<Summand>
            {
                new Summand
                {
                    Coefficient = 1,
                    SumsRaisedToPower = new List<SumRaisedToPower>
                    {
                        new SumRaisedToPower
                        {
                            Degree = 2,
                            Sum = new List<Summand>
                            {
                                new Summand
                                {
                                    Coefficient = 1,
                                    Multiplicands = new List<IElementaryFunction>
                                    {
                                        new Sine {Aparam = 1.0, 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(3.0);
        }
        public void CalculateLimit_MKD_74_5()
        {
            var numerator = new List<Summand>
            {
                new Summand
                {
                    Multiplicands = new List<IElementaryFunction>
                    {
                        new PowerFunction
                        {
                            Aparam = 1, Bparam = 32, PowerNumerator = 1, PowerDenominator = 5
                        }
                    }
                },
                new Summand
                {
                    Coefficient = -2
                }
            };

            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.RealNumber);
            result.Value.Should().Be(1.0/80);
        }
Exemplo n.º 13
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        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);
        }
Exemplo n.º 14
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        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);
        }
Exemplo n.º 15
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        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);
        }
Exemplo n.º 16
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        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);
        }
Exemplo n.º 17
0
        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();
        }
Exemplo n.º 18
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        public void CalculateLimit_AndReturnsCorrectLimit_4()
        {
            var numerator = new List<Summand>
            {
                new Summand
                {
                    Coefficient = 2.0,
                    PolynomialDegree = 1
                }
            };

            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, 0);

            result.LimitResultType.Should().Be(LimitResultType.RealNumber);
            result.Value.Should().Be(2.0);
        }
Exemplo n.º 19
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        public void CalculateLimit_AndReturnsCorrectLimit_3()
        {
            var numerator = new List<Summand>
            {
                new Summand
                {
                    Coefficient = 1.0,
                    PolynomialDegree = 3,
                    Multiplicands = new List<IElementaryFunction>
                    {
                        new Sine { Aparam = 1 }
                    },
                    SumsRaisedToPower = new List<SumRaisedToPower>
                    {
                        new SumRaisedToPower
                        {
                            Degree = 2,
                            Sum = new List<Summand>
                            {
                                new Summand
                                {
                                    Coefficient = 1.0,
                                    PolynomialDegree = 3
                                },
                                new Summand
                                {
                                    Coefficient = 3.0,
                                    SumsRaisedToPower = new List<SumRaisedToPower>
                                    {
                                        new SumRaisedToPower
                                        {
                                            Degree = 2,
                                            Sum = new List<Summand>
                                            {
                                                new Summand
                                                {
                                                    Coefficient = 1,
                                                    PolynomialDegree = 1
                                                },
                                                new Summand
                                                {
                                                    Coefficient = 1,
                                                    Multiplicands = new List<IElementaryFunction>
                                                    {
                                                        new Sine { Aparam = 1 }
                                                    }
                                                }
                                            }
                                        }
                                    }
                                }
                            }
                        }
                    }

                }
            };

            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);
            result.Value.Should().Be(0.0);
        }
        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);
        }
        public void CalculateLimit_MKD_67_16()
        {
            var numerator = new List<Summand>
            {
                new Summand
                {
                    Coefficient = 1
                },
                new Summand
                {
                    Coefficient = -1,
                    Multiplicands = new List<IElementaryFunction>
                    {
                        new Cosine { Aparam = Math.PI, Bparam = 2}
                    }
                },
            };

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

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

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

            result.LimitResultType.Should().Be(LimitResultType.RealNumber);
            result.Value.Should().Be(0);
        }
Exemplo n.º 22
0
        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);
        }
Exemplo n.º 23
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        public void CalculateLimit_MKD_69_33_StringParse()
        {
            string numeratorString = "(cos(x)*(e^(7x)-e^(2x)))";
            string denominatorString = "sin(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(5);
        }
Exemplo n.º 24
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        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);
        }
Exemplo n.º 25
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        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);
        }
        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);
        }
        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);
        }
Exemplo n.º 28
0
        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);
        }
Exemplo n.º 29
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;
            }
        }
Exemplo n.º 30
0
        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);
        }