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2 changed files with 71 additions and 7 deletions
24
decimal.go
24
decimal.go
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@ -51,6 +51,14 @@ var DivisionPrecision = 16
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// silently lose precision.
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// silently lose precision.
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var MarshalJSONWithoutQuotes = false
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var MarshalJSONWithoutQuotes = false
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// StringTrimTrailingZeros should be set to false if you want the decimal stringify without zeros trailing.
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// By default, when decimal is output as a string (for example, in JSON), zeros are truncated from it (2.00 -> 2, 3.11 -> 3.11, 13.000 -> 13).
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// But this logic can be changed by this variable.
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// For example, if you have numeric(10,2) values stored in your database,
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// and you want your API response to always be given 2 decimal places (even 2.00, 3.00, 17.00 [not 2,3,17]),
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// then this variable is a great way out.
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var StringTrimTrailingZeros = true
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// ExpMaxIterations specifies the maximum number of iterations needed to calculate
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// ExpMaxIterations specifies the maximum number of iterations needed to calculate
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// precise natural exponent value using ExpHullAbrham method.
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// precise natural exponent value using ExpHullAbrham method.
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var ExpMaxIterations = 1000
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var ExpMaxIterations = 1000
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@ -133,7 +141,6 @@ func NewFromBigInt(value *big.Int, exp int32) Decimal {
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// d2 := NewFromBigRat(big.NewRat(4, 5), 1) // output: "0.8"
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// d2 := NewFromBigRat(big.NewRat(4, 5), 1) // output: "0.8"
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// d3 := NewFromBigRat(big.NewRat(1000, 3), 3) // output: "333.333"
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// d3 := NewFromBigRat(big.NewRat(1000, 3), 3) // output: "333.333"
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// d4 := NewFromBigRat(big.NewRat(2, 7), 4) // output: "0.2857"
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// d4 := NewFromBigRat(big.NewRat(2, 7), 4) // output: "0.2857"
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//
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func NewFromBigRat(value *big.Rat, precision int32) Decimal {
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func NewFromBigRat(value *big.Rat, precision int32) Decimal {
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return Decimal{
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return Decimal{
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value: new(big.Int).Set(value.Num()),
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value: new(big.Int).Set(value.Num()),
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@ -920,7 +927,10 @@ func (d Decimal) Ln(precision int32) (Decimal, error) {
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// Halley's Iteration.
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// Halley's Iteration.
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// Calculating n-th term of formula: a_(n+1) = a_n - 2 * (exp(a_n) - z) / (exp(a_n) + z),
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// Calculating n-th term of formula: a_(n+1) = a_n - 2 * (exp(a_n) - z) / (exp(a_n) + z),
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// until the difference between current and next term is smaller than epsilon
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// until the difference between current and next term is smaller than epsilon
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for {
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var prevStep Decimal
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maxIters := calcPrecision*2 + 10
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for i := int32(0); i < maxIters; i++ {
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// exp(a_n)
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// exp(a_n)
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comp3, _ = comp1.ExpTaylor(calcPrecision)
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comp3, _ = comp1.ExpTaylor(calcPrecision)
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// exp(a_n) - z
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// exp(a_n) - z
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@ -934,9 +944,17 @@ func (d Decimal) Ln(precision int32) (Decimal, error) {
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// comp1 = a_(n+1) = a_n - 2 * (exp(a_n) - z) / (exp(a_n) + z)
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// comp1 = a_(n+1) = a_n - 2 * (exp(a_n) - z) / (exp(a_n) + z)
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comp1 = comp1.Sub(comp3)
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comp1 = comp1.Sub(comp3)
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if prevStep.Add(comp3).IsZero() {
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// If iteration steps oscillate we should return early and prevent an infinity loop
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// NOTE(mwoss): This should be quite a rare case, returning error is not necessary
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break
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}
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if comp3.Abs().Cmp(epsilon) <= 0 {
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if comp3.Abs().Cmp(epsilon) <= 0 {
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break
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break
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}
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}
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prevStep = comp3
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}
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}
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}
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}
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@ -1162,7 +1180,7 @@ func (d Decimal) InexactFloat64() float64 {
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//
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//
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// -12.345
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// -12.345
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func (d Decimal) String() string {
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func (d Decimal) String() string {
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return d.string(true)
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return d.string(StringTrimTrailingZeros)
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}
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}
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// StringFixed returns a rounded fixed-point string with places digits after
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// StringFixed returns a rounded fixed-point string with places digits after
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@ -2822,6 +2822,7 @@ func TestDecimal_Ln(t *testing.T) {
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{"839101.0351094726488848490572028502", 50, "13.64008640145229044389152437468283605382056561604272"},
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{"839101.0351094726488848490572028502", 50, "13.64008640145229044389152437468283605382056561604272"},
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{"5023583755703750094849.03519358513093500275017501750602739169823", 25, "49.9684305274348922267409953"},
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{"5023583755703750094849.03519358513093500275017501750602739169823", 25, "49.9684305274348922267409953"},
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{"5023583755703750094849.03519358513093500275017501750602739169823", -1, "50.0"},
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{"5023583755703750094849.03519358513093500275017501750602739169823", -1, "50.0"},
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{"66.12", 18, "4.191471272952823429"},
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} {
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} {
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d, _ := NewFromString(testCase.Dec)
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d, _ := NewFromString(testCase.Dec)
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expected, _ := NewFromString(testCase.Expected)
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expected, _ := NewFromString(testCase.Expected)
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@ -3452,3 +3453,48 @@ func ExampleNewFromFloat() {
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//0.123123123123123
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//0.123123123123123
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//-10000000000000
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//-10000000000000
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}
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}
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func TestDecimal_String(t *testing.T) {
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type testData struct {
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input string
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expected string
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}
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tests := []testData{
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{"1.22", "1.22"},
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{"1.00", "1"},
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{"153.192", "153.192"},
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{"999.999", "999.999"},
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{"0.0000000001", "0.0000000001"},
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{"0.0000000000", "0"},
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}
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for _, test := range tests {
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d, err := NewFromString(test.input);
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if err != nil {
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t.Fatal(err)
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} else if d.String() != test.expected {
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t.Errorf("expected %s, got %s", test.expected, d.String())
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}
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}
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defer func() {
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StringTrimTrailingZeros = true
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}()
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StringTrimTrailingZeros = false
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tests = []testData{
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{"1.00", "1.00"},
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{"0.00", "0.00"},
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{"129.123000", "129.123000"},
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}
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for _, test := range tests {
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d, err := NewFromString(test.input);
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if err != nil {
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t.Fatal(err)
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} else if d.String() != test.expected {
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t.Errorf("expected %s, got %s", test.expected, d.String())
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}
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}
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}
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