package math import ( "errors" "math" "testing" ) func TestCalculateFee(t *testing.T) { t.Parallel() originalInput := float64(1) fee := float64(1) expectedOutput := float64(0.01) actualResult := CalculateFee(originalInput, fee) if expectedOutput != actualResult { t.Errorf( "Expected '%f'. Actual '%f'.", expectedOutput, actualResult) } } func TestCalculateAmountWithFee(t *testing.T) { t.Parallel() originalInput := float64(1) fee := float64(1) expectedOutput := float64(1.01) actualResult := CalculateAmountWithFee(originalInput, fee) if expectedOutput != actualResult { t.Errorf( "Expected '%f'. Actual '%f'.", expectedOutput, actualResult) } } func TestCalculatePercentageGainOrLoss(t *testing.T) { t.Parallel() originalInput := float64(9300) secondInput := float64(9000) expectedOutput := 3.3333333333333335 actualResult := CalculatePercentageGainOrLoss(originalInput, secondInput) if expectedOutput != actualResult { t.Errorf( "Expected '%f'. Actual '%f'.", expectedOutput, actualResult) } } func TestCalculatePercentageDifference(t *testing.T) { t.Parallel() originalInput := float64(10) secondAmount := float64(5) expectedOutput := 66.66666666666666 actualResult := CalculatePercentageDifference(originalInput, secondAmount) if expectedOutput != actualResult { t.Errorf( "Expected '%f'. Actual '%f'.", expectedOutput, actualResult) } } func TestCalculateNetProfit(t *testing.T) { t.Parallel() amount := float64(5) priceThen := float64(1) priceNow := float64(10) costs := float64(1) expectedOutput := float64(44) actualResult := CalculateNetProfit(amount, priceThen, priceNow, costs) if expectedOutput != actualResult { t.Errorf( "Expected '%f'. Actual '%f'.", expectedOutput, actualResult) } } func TestRoundFloat(t *testing.T) { t.Parallel() // mapping of input vs expected result : map[precision]map[testedValue]expectedOutput testTableValues := map[int]map[float64]float64{ 0: { 2.23456789: 2, -2.23456789: -2, }, 1: { 2.23456789: 2.2, -2.23456789: -2.2, }, 2: { 2.23456789: 2.23, -2.23456789: -2.23, }, 4: { 2.23456789: 2.2346, -2.23456789: -2.2346, }, 8: { 2.23456781: 2.23456781, -2.23456781: -2.23456781, }, } for precision, values := range testTableValues { for testInput, expectedOutput := range values { actualOutput := RoundFloat(testInput, precision) if actualOutput != expectedOutput { t.Errorf("RoundFloat Expected '%v'. Actual '%v' on precission %d", expectedOutput, actualOutput, precision) } } } } func TestSortinoRatio(t *testing.T) { t.Parallel() rfr := 0.001 figures := []float64{0.10, 0.04, 0.15, -0.05, 0.20, -0.02, 0.08, -0.06, 0.13, 0.23} avg, err := ArithmeticMean(figures) if err != nil { t.Error(err) } _, err = SortinoRatio(nil, rfr, avg) if !errors.Is(err, errZeroValue) { t.Errorf("expected: %v, received %v", errZeroValue, err) } var r float64 r, err = SortinoRatio(figures, rfr, avg) if err != nil { t.Error(err) } if r != 3.0377875479459906 { t.Errorf("expected 3.0377875479459906, received %v", r) } avg, err = FinancialGeometricMean(figures) if err != nil { t.Error(err) } r, err = SortinoRatio(figures, rfr, avg) if err != nil { t.Error(err) } if r != 2.8712802265603243 { t.Errorf("expected 2.525203164136098, received %v", r) } // this follows and matches the example calculation from // https://www.wallstreetmojo.com/sortino-ratio/ example := []float64{ 0.1, 0.12, 0.07, -0.03, 0.08, -0.04, 0.15, 0.2, 0.12, 0.06, -0.03, 0.02, } avg, err = ArithmeticMean(example) if err != nil { t.Error(err) } r, err = SortinoRatio(example, 0.06, avg) if err != nil { t.Error(err) } rr := math.Round(r*10) / 10 if rr != 0.2 { t.Errorf("expected 0.2, received %v", rr) } } func TestInformationRatio(t *testing.T) { t.Parallel() figures := []float64{0.0665, 0.0283, 0.0911, 0.0008, -0.0203, -0.0978, 0.0164, -0.0537, 0.078, 0.0032, 0.0249, 0} comparisonFigures := []float64{0.0216, 0.0048, 0.036, 0.0303, 0.0043, -0.0694, 0.0179, -0.0918, 0.0787, 0.0297, 0.003, 0} avg, err := ArithmeticMean(figures) if err != nil { t.Error(err) } if avg != 0.01145 { t.Error(avg) } var avgComparison float64 avgComparison, err = ArithmeticMean(comparisonFigures) if err != nil { t.Error(err) } if avgComparison != 0.005425 { t.Error(avgComparison) } var eachDiff []float64 for i := range figures { eachDiff = append(eachDiff, figures[i]-comparisonFigures[i]) } stdDev, err := PopulationStandardDeviation(eachDiff) if err != nil { t.Error(err) } if stdDev != 0.028992588851865803 { t.Error(stdDev) } information := (avg - avgComparison) / stdDev if information != 0.20781172839666107 { t.Errorf("expected %v received %v", 0.20781172839666107, information) } var information2 float64 information2, err = InformationRatio(figures, comparisonFigures, avg, avgComparison) if err != nil { t.Error(err) } if information != information2 { t.Error(information2) } _, err = InformationRatio(figures, []float64{1}, avg, avgComparison) if !errors.Is(err, errInformationBadLength) { t.Errorf("expected: %v, received %v", errInformationBadLength, err) } } func TestCalmarRatio(t *testing.T) { t.Parallel() _, err := CalmarRatio(0, 0, 0, 0) if !errors.Is(err, errCalmarHighest) { t.Errorf("expected: %v, received %v", errCalmarHighest, err) } var ratio float64 ratio, err = CalmarRatio(50000, 15000, 0.2, 0.1) if err != nil { t.Error(err) } if ratio != 0.14285714285714288 { t.Error(ratio) } } func TestCAGR(t *testing.T) { t.Parallel() _, err := CompoundAnnualGrowthRate( 0, 0, 0, 0) if !errors.Is(err, errCAGRNoIntervals) { t.Error(err) } _, err = CompoundAnnualGrowthRate( 0, 0, 0, 1) if !errors.Is(err, errCAGRZeroOpenValue) { t.Error(err) } var cagr float64 cagr, err = CompoundAnnualGrowthRate( 100, 147, 1, 1) if err != nil { t.Error(err) } if cagr != 47 { t.Error("expected 47%") } cagr, err = CompoundAnnualGrowthRate( 100, 147, 365, 365) if err != nil { t.Error(err) } if cagr != 47 { t.Error("expected 47%") } cagr, err = CompoundAnnualGrowthRate( 100, 200, 1, 20) if err != nil { t.Error(err) } if cagr != 3.5264923841377582 { t.Error("expected 3.53%") } } func TestCalculateSharpeRatio(t *testing.T) { t.Parallel() result, err := SharpeRatio(nil, 0, 0) if !errors.Is(err, errZeroValue) { t.Error(err) } if result != 0 { t.Error("expected 0") } result, err = SharpeRatio([]float64{0.026}, 0.017, 0.026) if err != nil { t.Error(err) } if result != 0 { t.Error("expected 0") } // this follows and matches the example calculation (without rounding) from // https://www.educba.com/sharpe-ratio-formula/ returns := []float64{ -0.0005, -0.0065, -0.0113, 0.0031, -0.0112, 0.0056, 0.0156, 0.0048, 0.0012, 0.0038, -0.0008, 0.0032, 0, -0.0128, -0.0058, 0.003, 0.0042, 0.0055, 0.0009, } var avg float64 avg, err = ArithmeticMean(returns) if err != nil { t.Error(err) } result, err = SharpeRatio(returns, -0.0017, avg) if err != nil { t.Error(err) } result = math.Round(result*100) / 100 if result != 0.26 { t.Errorf("expected 0.26, received %v", result) } } func TestStandardDeviation2(t *testing.T) { t.Parallel() r := []float64{9, 2, 5, 4, 12, 7} mean, err := ArithmeticMean(r) if err != nil { t.Error(err) } superMean := []float64{} for i := range r { result := math.Pow(r[i]-mean, 2) superMean = append(superMean, result) } superMeany := (superMean[0] + superMean[1] + superMean[2] + superMean[3] + superMean[4] + superMean[5]) / 5 manualCalculation := math.Sqrt(superMeany) var codeCalcu float64 codeCalcu, err = SampleStandardDeviation(r) if err != nil { t.Error(err) } if manualCalculation != codeCalcu && codeCalcu != 3.619 { t.Error("expected 3.619") } } func TestGeometricAverage(t *testing.T) { t.Parallel() values := []float64{1, 2, 3, 4, 5, 6, 7, 8} _, err := GeometricMean(nil) if !errors.Is(err, errZeroValue) { t.Error(err) } var mean float64 mean, err = GeometricMean(values) if err != nil { t.Error(err) } if mean != 3.764350599503129 { t.Errorf("expected %v, received %v", 3.95, mean) } values = []float64{15, 12, 13, 19, 10} mean, err = GeometricMean(values) if err != nil { t.Error(err) } if mean != 13.477020583645698 { t.Errorf("expected %v, received %v", 13.50, mean) } values = []float64{-1, 12, 13, 19, 10} mean, err = GeometricMean(values) if !errors.Is(err, errGeometricNegative) { t.Error(err) } if mean != 0 { t.Errorf("expected %v, received %v", 0, mean) } } func TestFinancialGeometricAverage(t *testing.T) { t.Parallel() values := []float64{1, 2, 3, 4, 5, 6, 7, 8} _, err := FinancialGeometricMean(nil) if !errors.Is(err, errZeroValue) { t.Error(err) } var mean float64 mean, err = FinancialGeometricMean(values) if err != nil { t.Error(err) } if mean != 3.9541639996482028 { t.Errorf("expected %v, received %v", 3.95, mean) } values = []float64{15, 12, 13, 19, 10} mean, err = FinancialGeometricMean(values) if err != nil { t.Error(err) } if mean != 13.49849123325646 { t.Errorf("expected %v, received %v", 13.50, mean) } values = []float64{-1, 12, 13, 19, 10} mean, err = FinancialGeometricMean(values) if err != nil { t.Error(err) } if mean != 0 { t.Errorf("expected %v, received %v", 0, mean) } values = []float64{-2, 12, 13, 19, 10} _, err = FinancialGeometricMean(values) if !errors.Is(err, errNegativeValueOutOfRange) { t.Error(err) } } func TestArithmeticAverage(t *testing.T) { values := []float64{1, 2, 3, 4, 5, 6, 7, 8} _, err := ArithmeticMean(nil) if !errors.Is(err, errZeroValue) { t.Error(err) } var avg float64 avg, err = ArithmeticMean(values) if err != nil { t.Error(err) } if avg != 4.5 { t.Error("expected 4.5") } }