num

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Published: Dec 13, 2020 License: MIT Imports: 8 Imported by: 0

Documentation

Index

Examples

Constants

This section is empty.

Variables

View Source
var DivisionPrecision = 16

DivisionPrecision is the number of decimal places in the result when it doesn't divide exactly.

Example:

d1 := decimal.NewDecimalFromFloat(2).Div(decimal.NewDecimalFromFloat(3))
d1.String() // output: "0.6666666666666667"
d2 := decimal.NewDecimalFromFloat(2).Div(decimal.NewDecimalFromFloat(30000))
d2.String() // output: "0.0000666666666667"
d3 := decimal.NewDecimalFromFloat(20000).Div(decimal.NewDecimalFromFloat(3))
d3.String() // output: "6666.6666666666666667"
decimal.DivisionPrecision = 3
d4 := decimal.NewDecimalFromFloat(2).Div(decimal.NewDecimalFromFloat(3))
d4.String() // output: "0.667"
View Source
var MarshalJSONWithoutQuotes = false

MarshalJSONWithoutQuotes should be set to true if you want the decimal to be JSON marshaled as a number, instead of as a string. WARNING: this is dangerous for decimals with many digits, since many JSON unmarshallers (ex: Javascript's) will unmarshal JSON numbers to IEEE 754 double-precision floating point numbers, which means you can potentially silently lose precision.

View Source
var Zero = NewDecimal(0, 1)

Zero constant, to make computations faster. Zero should never be compared with == or != directly, please use decimal.Equal or decimal.Cmp instead.

Functions

func RescalePair

func RescalePair(d1 Decimal, d2 Decimal) (Decimal, Decimal)

RescalePair rescales two decimals to common exponential value (minimal exp of both decimals)

Types

type Decimal

type Decimal struct {
	// contains filtered or unexported fields
}

Decimal represents a fixed-point decimal. It is immutable. number = value * 10 ^ exp

func Avg

func Avg(first Decimal, rest ...Decimal) Decimal

Avg returns the average value of the provided first and rest Decimals

func Max

func Max(first Decimal, rest ...Decimal) Decimal

Max returns the largest Decimal that was passed in the arguments.

To call this function with an array, you must do:

Max(arr[0], arr[1:]...)

This makes it harder to accidentally call Max with 0 arguments.

func Min

func Min(first Decimal, rest ...Decimal) Decimal

Min returns the smallest Decimal that was passed in the arguments.

To call this function with an array, you must do:

Min(arr[0], arr[1:]...)

This makes it harder to accidentally call Min with 0 arguments.

func NewDecimal

func NewDecimal(value int64, exp int32) Decimal

NewDecimal returns a new fixed-point decimal, value * 10 ^ exp.

func NewDecimalFromBigInt

func NewDecimalFromBigInt(value *big.Int, exp int32) Decimal

NewDecimalFromBigInt returns a new Decimal from a big.Int, value * 10 ^ exp

func NewDecimalFromFloat

func NewDecimalFromFloat(value float64) Decimal

NewDecimalFromFloat converts a float64 to Decimal.

The converted number will contain the number of significant digits that can be represented in a float with reliable roundtrip. This is typically 15 digits, but may be more in some cases. See https://www.exploringbinary.com/decimal-precision-of-binary-floating-point-numbers/ for more information.

For slightly faster conversion, use NewDecimalFromFloatWithExponent where you can specify the precision in absolute terms.

NOTE: this will panic on NaN, +/-inf

Example
fmt.Println(NewDecimalFromFloat(123.123123123123).String())
fmt.Println(NewDecimalFromFloat(.123123123123123).String())
fmt.Println(NewDecimalFromFloat(-1e13).String())
Output:

123.123123123123
0.123123123123123
-10000000000000

func NewDecimalFromFloat32

func NewDecimalFromFloat32(value float32) Decimal

NewDecimalFromFloat32 converts a float32 to Decimal.

The converted number will contain the number of significant digits that can be represented in a float with reliable roundtrip. This is typically 6-8 digits depending on the input. See https://www.exploringbinary.com/decimal-precision-of-binary-floating-point-numbers/ for more information.

For slightly faster conversion, use NewDecimalFromFloatWithExponent where you can specify the precision in absolute terms.

NOTE: this will panic on NaN, +/-inf

Example
fmt.Println(NewDecimalFromFloat32(123.123123123123).String())
fmt.Println(NewDecimalFromFloat32(.123123123123123).String())
fmt.Println(NewDecimalFromFloat32(-1e13).String())
Output:

123.12312
0.123123124
-10000000000000

func NewDecimalFromFloatWithExponent

func NewDecimalFromFloatWithExponent(value float64, exp int32) Decimal

NewDecimalFromFloatWithExponent converts a float64 to Decimal, with an arbitrary number of fractional digits.

Example:

NewDecimalFromFloatWithExponent(123.456, -2).String() // output: "123.46"

func NewDecimalFromFormattedString

func NewDecimalFromFormattedString(value string, replRegexp *regexp.Regexp) (Decimal, error)

NewDecimalFromFormattedString returns a new Decimal from a formatted string representation. The second argument - replRegexp, is a regular expression that is used to find characters that should be removed from given decimal string representation. All matched characters will be replaced with an empty string.

Example:

r := regexp.MustCompile("[$,]")
d1, err := NewDecimalFromFormattedString("$5,125.99", r)

r2 := regexp.MustCompile("[_]")
d2, err := NewDecimalFromFormattedString("1_000_000", r2)

r3 := regexp.MustCompile("[USD\\s]")
d3, err := NewDecimalFromFormattedString("5000 USD", r3)

func NewDecimalFromInt

func NewDecimalFromInt(value int64) Decimal

NewDecimalFromInt converts a int64 to Decimal.

Example:

NewDecimalFromInt(123).String() // output: "123"
NewDecimalFromInt(-10).String() // output: "-10"

func NewDecimalFromInt32

func NewDecimalFromInt32(value int32) Decimal

NewDecimalFromInt32 converts a int32 to Decimal.

Example:

NewDecimalFromInt(123).String() // output: "123"
NewDecimalFromInt(-10).String() // output: "-10"

func NewDecimalFromString

func NewDecimalFromString(value string) (Decimal, error)

NewDecimalFromString returns a new Decimal from a string representation. Trailing zeroes are not trimmed.

Example:

d, err := NewDecimalFromString("-123.45")
d2, err := NewDecimalFromString(".0001")
d3, err := NewDecimalFromString("1.47000")

func RequireFromString

func RequireFromString(value string) Decimal

RequireFromString returns a new Decimal from a string representation or panics if NewDecimalFromString would have returned an error.

Example:

d := RequireFromString("-123.45")
d2 := RequireFromString(".0001")

func Sum

func Sum(first Decimal, rest ...Decimal) Decimal

Sum returns the combined total of the provided first and rest Decimals

func (Decimal) Abs

func (d Decimal) Abs() Decimal

Abs returns the absolute value of the decimal.

func (Decimal) Add

func (d Decimal) Add(d2 Decimal) Decimal

Add returns d + d2.

func (Decimal) Atan

func (d Decimal) Atan() Decimal

Atan returns the arctangent, in radians, of x.

func (Decimal) BigFloat

func (d Decimal) BigFloat() *big.Float

BigFloat returns decimal as BigFloat. Be aware that casting decimal to BigFloat might cause a loss of precision.

func (Decimal) BigInt

func (d Decimal) BigInt() *big.Int

BigInt returns integer component of the decimal as a BigInt.

func (Decimal) Ceil

func (d Decimal) Ceil() Decimal

Ceil returns the nearest integer value greater than or equal to d.

func (Decimal) Cmp

func (d Decimal) Cmp(d2 Decimal) int

Cmp compares the numbers represented by d and d2 and returns:

-1 if d <  d2
 0 if d == d2
+1 if d >  d2

func (Decimal) Coefficient

func (d Decimal) Coefficient() *big.Int

Coefficient returns the coefficient of the decimal. It is scaled by 10^Exponent()

func (Decimal) Cos

func (d Decimal) Cos() Decimal

Cos returns the cosine of the radian argument x.

func (Decimal) Div

func (d Decimal) Div(d2 Decimal) Decimal

Div returns d / d2. If it doesn't divide exactly, the result will have DivisionPrecision digits after the decimal point.

func (Decimal) DivRound

func (d Decimal) DivRound(d2 Decimal, precision int32) Decimal

DivRound divides and rounds to a given precision i.e. to an integer multiple of 10^(-precision)

for a positive quotient digit 5 is rounded up, away from 0
if the quotient is negative then digit 5 is rounded down, away from 0

Note that precision<0 is allowed as input.

func (Decimal) Equal

func (d Decimal) Equal(d2 Decimal) bool

Equal returns whether the numbers represented by d and d2 are equal.

func (Decimal) Equals

func (d Decimal) Equals(d2 Decimal) bool

Equals is deprecated, please use Equal method instead

func (Decimal) Exponent

func (d Decimal) Exponent() int32

Exponent returns the exponent, or scale component of the decimal.

func (Decimal) Float64

func (d Decimal) Float64() (f float64, exact bool)

Float64 returns the nearest float64 value for d and a bool indicating whether f represents d exactly. For more details, see the documentation for big.Rat.Float64

func (Decimal) Floor

func (d Decimal) Floor() Decimal

Floor returns the nearest integer value less than or equal to d.

func (*Decimal) GobDecode

func (d *Decimal) GobDecode(data []byte) error

GobDecode implements the gob.GobDecoder interface for gob serialization.

func (Decimal) GobEncode

func (d Decimal) GobEncode() ([]byte, error)

GobEncode implements the gob.GobEncoder interface for gob serialization.

func (Decimal) GreaterThan

func (d Decimal) GreaterThan(d2 Decimal) bool

GreaterThan (GT) returns true when d is greater than d2.

func (Decimal) GreaterThanOrEqual

func (d Decimal) GreaterThanOrEqual(d2 Decimal) bool

GreaterThanOrEqual (GTE) returns true when d is greater than or equal to d2.

func (Decimal) IntPart

func (d Decimal) IntPart() int64

IntPart returns the integer component of the decimal.

func (Decimal) IsInteger

func (d Decimal) IsInteger() bool

IsInteger returns true when decimal can be represented as an integer value, otherwise, it returns false.

func (Decimal) IsNegative

func (d Decimal) IsNegative() bool

IsNegative return

true if d < 0
false if d == 0
false if d > 0

func (Decimal) IsPositive

func (d Decimal) IsPositive() bool

IsPositive return

true if d > 0
false if d == 0
false if d < 0

func (Decimal) IsZero

func (d Decimal) IsZero() bool

IsZero return

true if d == 0
false if d > 0
false if d < 0

func (Decimal) LessThan

func (d Decimal) LessThan(d2 Decimal) bool

LessThan (LT) returns true when d is less than d2.

func (Decimal) LessThanOrEqual

func (d Decimal) LessThanOrEqual(d2 Decimal) bool

LessThanOrEqual (LTE) returns true when d is less than or equal to d2.

func (Decimal) MarshalBinary

func (d Decimal) MarshalBinary() (data []byte, err error)

MarshalBinary implements the encoding.BinaryMarshaler interface.

func (Decimal) MarshalJSON

func (d Decimal) MarshalJSON() ([]byte, error)

MarshalJSON implements the json.Marshaler interface.

func (Decimal) MarshalText

func (d Decimal) MarshalText() (text []byte, err error)

MarshalText implements the encoding.TextMarshaler interface for XML serialization.

func (Decimal) Mod

func (d Decimal) Mod(d2 Decimal) Decimal

Mod returns d % d2.

func (Decimal) Mul

func (d Decimal) Mul(d2 Decimal) Decimal

Mul returns d * d2.

func (Decimal) Neg

func (d Decimal) Neg() Decimal

Neg returns -d.

func (Decimal) Pow

func (d Decimal) Pow(d2 Decimal) Decimal

Pow returns d to the power d2

func (Decimal) QuoRem

func (d Decimal) QuoRem(d2 Decimal, precision int32) (Decimal, Decimal)

QuoRem does divsion with remainder d.QuoRem(d2,precision) returns quotient q and remainder r such that

d = d2 * q + r, q an integer multiple of 10^(-precision)
0 <= r < abs(d2) * 10 ^(-precision) if d>=0
0 >= r > -abs(d2) * 10 ^(-precision) if d<0

Note that precision<0 is allowed as input.

func (Decimal) Rat

func (d Decimal) Rat() *big.Rat

Rat returns a rational number representation of the decimal.

func (Decimal) Round

func (d Decimal) Round(places int32) Decimal

Round rounds the decimal to places decimal places. If places < 0, it will round the integer part to the nearest 10^(-places).

Example:

NewDecimalFromFloat(5.45).Round(1).String() // output: "5.5"
NewDecimalFromFloat(545).Round(-1).String() // output: "550"

func (Decimal) RoundBank

func (d Decimal) RoundBank(places int32) Decimal

RoundBank rounds the decimal to places decimal places. If the final digit to round is equidistant from the nearest two integers the rounded value is taken as the even number

If places < 0, it will round the integer part to the nearest 10^(-places).

Examples:

NewDecimalFromFloat(5.45).RoundBank(1).String() // output: "5.4"
NewDecimalFromFloat(545).RoundBank(-1).String() // output: "540"
NewDecimalFromFloat(5.46).RoundBank(1).String() // output: "5.5"
NewDecimalFromFloat(546).RoundBank(-1).String() // output: "550"
NewDecimalFromFloat(5.55).RoundBank(1).String() // output: "5.6"
NewDecimalFromFloat(555).RoundBank(-1).String() // output: "560"

func (Decimal) RoundCash

func (d Decimal) RoundCash(interval uint8) Decimal

RoundCash aka Cash/Penny/öre rounding rounds decimal to a specific interval. The amount payable for a cash transaction is rounded to the nearest multiple of the minimum currency unit available. The following intervals are available: 5, 10, 25, 50 and 100; any other number throws a panic.

  5:   5 cent rounding 3.43 => 3.45
 10:  10 cent rounding 3.45 => 3.50 (5 gets rounded up)
 25:  25 cent rounding 3.41 => 3.50
 50:  50 cent rounding 3.75 => 4.00
100: 100 cent rounding 3.50 => 4.00

For more details: https://en.wikipedia.org/wiki/Cash_rounding

func (*Decimal) Scan

func (d *Decimal) Scan(value interface{}) error

Scan implements the sql.Scanner interface for database deserialization.

func (Decimal) Shift

func (d Decimal) Shift(shift int32) Decimal

Shift shifts the decimal in base 10. It shifts left when shift is positive and right if shift is negative. In simpler terms, the given value for shift is added to the exponent of the decimal.

func (Decimal) Sign

func (d Decimal) Sign() int

Sign returns:

-1 if d <  0
 0 if d == 0
+1 if d >  0

func (Decimal) Sin

func (d Decimal) Sin() Decimal

Sin returns the sine of the radian argument x.

func (Decimal) String

func (d Decimal) String() string

String returns the string representation of the decimal with the fixed point.

Example:

d := New(-12345, -3)
println(d.String())

Output:

-12.345

func (Decimal) StringFixed

func (d Decimal) StringFixed(places int32) string

StringFixed returns a rounded fixed-point string with places digits after the decimal point.

Example:

NewDecimalFromFloat(0).StringFixed(2) // output: "0.00"
NewDecimalFromFloat(0).StringFixed(0) // output: "0"
NewDecimalFromFloat(5.45).StringFixed(0) // output: "5"
NewDecimalFromFloat(5.45).StringFixed(1) // output: "5.5"
NewDecimalFromFloat(5.45).StringFixed(2) // output: "5.45"
NewDecimalFromFloat(5.45).StringFixed(3) // output: "5.450"
NewDecimalFromFloat(545).StringFixed(-1) // output: "550"

func (Decimal) StringFixedBank

func (d Decimal) StringFixedBank(places int32) string

StringFixedBank returns a banker rounded fixed-point string with places digits after the decimal point.

Example:

NewDecimalFromFloat(0).StringFixedBank(2) // output: "0.00"
NewDecimalFromFloat(0).StringFixedBank(0) // output: "0"
NewDecimalFromFloat(5.45).StringFixedBank(0) // output: "5"
NewDecimalFromFloat(5.45).StringFixedBank(1) // output: "5.4"
NewDecimalFromFloat(5.45).StringFixedBank(2) // output: "5.45"
NewDecimalFromFloat(5.45).StringFixedBank(3) // output: "5.450"
NewDecimalFromFloat(545).StringFixedBank(-1) // output: "540"

func (Decimal) StringFixedCash

func (d Decimal) StringFixedCash(interval uint8) string

StringFixedCash returns a Swedish/Cash rounded fixed-point string. For more details see the documentation at function RoundCash.

func (Decimal) StringScaled

func (d Decimal) StringScaled(exp int32) string

StringScaled first scales the decimal then calls .String() on it. NOTE: buggy, unintuitive, and DEPRECATED! Use StringFixed instead.

func (Decimal) Sub

func (d Decimal) Sub(d2 Decimal) Decimal

Sub returns d - d2.

func (Decimal) Tan

func (d Decimal) Tan() Decimal

Tan returns the tangent of the radian argument x.

func (Decimal) Truncate

func (d Decimal) Truncate(precision int32) Decimal

Truncate truncates off digits from the number, without rounding.

NOTE: precision is the last digit that will not be truncated (must be >= 0).

Example:

decimal.NewDecimalFromString("123.456").Truncate(2).String() // "123.45"

func (*Decimal) UnmarshalBinary

func (d *Decimal) UnmarshalBinary(data []byte) error

UnmarshalBinary implements the encoding.BinaryUnmarshaler interface. As a string representation is already used when encoding to text, this method stores that string as []byte

func (*Decimal) UnmarshalJSON

func (d *Decimal) UnmarshalJSON(decimalBytes []byte) error

UnmarshalJSON implements the json.Unmarshaler interface.

func (*Decimal) UnmarshalText

func (d *Decimal) UnmarshalText(text []byte) error

UnmarshalText implements the encoding.TextUnmarshaler interface for XML deserialization.

func (Decimal) Value

func (d Decimal) Value() (driver.Value, error)

Value implements the driver.Valuer interface for database serialization.

type Fraction

type Fraction struct {
	Numerator   big.Int
	Denominator big.Int
}

Fraction represents ratio.

func MustNewFractionFromStr

func MustNewFractionFromStr(s string) Fraction

func NewFraction

func NewFraction(
	numerator big.Int,
	denominator big.Int,
) Fraction

TODO: Care if the denominator is 0

func NewFractionFromDecimal

func NewFractionFromDecimal(d Decimal) Fraction

func NewFractionFromStr

func NewFractionFromStr(s string) (Fraction, error)

func (Fraction) Decimal

func (f Fraction) Decimal() Decimal

func (Fraction) Div

func (f Fraction) Div(m Fraction) Fraction

Div devices fraction by given fraction.

func (Fraction) Inverse

func (f Fraction) Inverse() Fraction

func (Fraction) Mul

func (f Fraction) Mul(m Fraction) Fraction

Mul multiplies fraction by given fraction.

func (Fraction) MulNum

func (f Fraction) MulNum(m big.Int) Fraction

MulNum multiplies fraction by given number.

func (Fraction) Reduce

func (f Fraction) Reduce() Fraction

Reduce makes given fraction reduced.

type NullDecimal

type NullDecimal struct {
	Decimal Decimal
	Valid   bool
}

NullDecimal represents a nullable decimal with compatibility for scanning null values from the database.

func (NullDecimal) MarshalJSON

func (d NullDecimal) MarshalJSON() ([]byte, error)

MarshalJSON implements the json.Marshaler interface.

func (*NullDecimal) Scan

func (d *NullDecimal) Scan(value interface{}) error

Scan implements the sql.Scanner interface for database deserialization.

func (*NullDecimal) UnmarshalJSON

func (d *NullDecimal) UnmarshalJSON(decimalBytes []byte) error

UnmarshalJSON implements the json.Unmarshaler interface.

func (NullDecimal) Value

func (d NullDecimal) Value() (driver.Value, error)

Value implements the driver.Valuer interface for database serialization.

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