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a1bed2f5fe | ||
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c31da0254a |
2 changed files with 126 additions and 48 deletions
132
decimal.go
132
decimal.go
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@ -129,11 +129,10 @@ func NewFromBigInt(value *big.Int, exp int32) Decimal {
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//
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//
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// Example:
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// Example:
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//
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//
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// d1 := NewFromBigRat(big.NewRat(0, 1), 0) // output: "0"
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// d1 := NewFromBigRat(big.NewRat(0, 1), 0) // output: "0"
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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 +919,10 @@ 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 +936,17 @@ 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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@ -1165,6 +1175,73 @@ func (d Decimal) String() string {
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return d.string(true)
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return d.string(true)
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}
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}
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// Format formats a decimal.
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// thousandsSeparator can be empty, in which case the integer value will be displayed without separation.
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// if decimalSeparator is empty and the value is a decimal this will panic.
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func (d Decimal) Format(thousandsSeparator string, decimalSeparator string, trimTrailingZeros bool) string {
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if d.exp >= 0 {
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d = d.rescale(0)
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}
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abs := new(big.Int).Abs(d.value)
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str := abs.String()
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var intPart, fractionalPart string
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// NOTE(vadim): this cast to int will cause bugs if d.exp == INT_MIN
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// and you are on a 32-bit machine. Won't fix this super-edge case.
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dExpInt := int(d.exp)
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if len(str) > -dExpInt {
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intPart = str[:len(str)+dExpInt]
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fractionalPart = str[len(str)+dExpInt:]
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} else {
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intPart = "0"
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num0s := -dExpInt - len(str)
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fractionalPart = strings.Repeat("0", num0s) + str
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}
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if thousandsSeparator != "" {
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parts := 1 + (len(intPart)-1)/3
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if parts > 1 {
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intParts := make([]string, 1+(len(intPart)-1)/3)
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offset := len(intPart) - (len(intParts)-1)*3
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for i := 0; i < len(intParts); i++ {
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if i == 0 {
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intParts[i] = intPart[0:offset]
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} else {
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intParts[i] = intPart[(i-1)*3+offset : i*3+offset]
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}
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}
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intPart = strings.Join(intParts, thousandsSeparator)
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}
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}
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if trimTrailingZeros {
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i := len(fractionalPart) - 1
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for ; i >= 0; i-- {
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if fractionalPart[i] != '0' {
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break
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}
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}
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fractionalPart = fractionalPart[:i+1]
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}
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if fractionalPart != "" && decimalSeparator == "" {
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panic("no decimal separator for non-integer")
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}
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number := intPart
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if len(fractionalPart) > 0 {
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number += decimalSeparator + fractionalPart
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}
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if d.value.Sign() < 0 {
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return "-" + number
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}
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return number
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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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// the decimal point.
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// the decimal point.
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//
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//
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@ -1595,48 +1672,7 @@ func (d Decimal) StringScaled(exp int32) string {
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}
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}
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func (d Decimal) string(trimTrailingZeros bool) string {
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func (d Decimal) string(trimTrailingZeros bool) string {
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if d.exp >= 0 {
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return d.Format("", ".", trimTrailingZeros)
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return d.rescale(0).value.String()
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}
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abs := new(big.Int).Abs(d.value)
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str := abs.String()
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var intPart, fractionalPart string
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// NOTE(vadim): this cast to int will cause bugs if d.exp == INT_MIN
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// and you are on a 32-bit machine. Won't fix this super-edge case.
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dExpInt := int(d.exp)
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if len(str) > -dExpInt {
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intPart = str[:len(str)+dExpInt]
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fractionalPart = str[len(str)+dExpInt:]
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} else {
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intPart = "0"
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num0s := -dExpInt - len(str)
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fractionalPart = strings.Repeat("0", num0s) + str
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}
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if trimTrailingZeros {
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i := len(fractionalPart) - 1
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for ; i >= 0; i-- {
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if fractionalPart[i] != '0' {
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break
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}
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}
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fractionalPart = fractionalPart[:i+1]
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}
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number := intPart
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if len(fractionalPart) > 0 {
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number += "." + fractionalPart
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}
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if d.value.Sign() < 0 {
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return "-" + number
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}
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return number
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}
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}
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func (d *Decimal) ensureInitialized() {
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func (d *Decimal) ensureInitialized() {
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@ -1513,6 +1513,47 @@ func TestDecimal_RoundDownAndStringFixed(t *testing.T) {
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}
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}
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}
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}
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func TestDecimal_Format(t *testing.T) {
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type testData struct {
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input string
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thousandsSeparator string
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decimalSeparator string
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trimTrailingZeros bool
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expected string
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}
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tests := []testData{
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{"0", ",", ".", false, "0"},
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{"0", ",", ".", true, "0"},
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{"999", ",", ".", true, "999"},
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{"1000", ",", ".", true, "1,000"},
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{"123", ",", ".", true, "123"},
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{"1234", ",", ".", true, "1,234"},
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{"12345.67", "", ".", true, "12345.67"},
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{"12345.00", ",", ".", true, "12,345"},
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{"12345.00", ",", ".", false, "12,345.00"},
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{"123456.00", ",", ".", false, "123,456.00"},
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{"1234567.00", ",", ".", false, "1,234,567.00"},
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{"1234567.00", ".", ",", false, "1.234.567,00"},
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{"1234567.00", "_", ".", true, "1_234_567"},
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{"-12.00", "_", ".", true, "-12"},
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{"-123.00", "_", ".", true, "-123"},
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{"-1234.00", "_", ".", true, "-1_234"},
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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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panic(err)
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}
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got := d.Format(test.thousandsSeparator, test.decimalSeparator, test.trimTrailingZeros)
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if got != test.expected {
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t.Errorf("Format %s got %s, expected %s",
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d, got, test.expected)
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}
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}
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}
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func TestDecimal_BankRoundAndStringFixed(t *testing.T) {
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func TestDecimal_BankRoundAndStringFixed(t *testing.T) {
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type testData struct {
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type testData struct {
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input string
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input string
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@ -2822,6 +2863,7 @@ 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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