decimal

package
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Published: Jul 23, 2016 License: Apache-2.0 Imports: 6 Imported by: 0

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Index

Constants

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const Precision = 16

Precision defines the minimum precision all inexact decimal calculations should attempt to achieve.

Variables

This section is empty.

Functions

func Cbrt

func Cbrt(z, x *inf.Dec, s inf.Scale) *inf.Dec

Cbrt calculates the cube root of x to the specified scale and stores the result in z, which is also the return value.

The cube root calculation is implemented using Newton-Raphson method. We start with an initial estimate for cbrt(d), and then iterate:

x_{n+1} = 1/3 * ( 2 * x_n + (d / x_n / x_n) ).

func Exp

func Exp(z, n *inf.Dec, s inf.Scale) *inf.Dec

Exp computes (e^n) (where n = a*b with a being an integer and b < 1) to the specified scale and stores the result in z, which is also the return value.

func Float64FromDec

func Float64FromDec(dec *inf.Dec) (float64, error)

Float64FromDec converts a decimal to a float64 value, returning the value and any error that occurred. This converson exposes a possible loss of information.

func Log

func Log(z *inf.Dec, x *inf.Dec, s inf.Scale) *inf.Dec

Log computes the natural log of x using the Maclaurin series for log(1-x) to the specified scale and stores the result in z, which is also the return value. The function will panic if x is a negative number.

func Log10

func Log10(z *inf.Dec, x *inf.Dec, s inf.Scale) *inf.Dec

Log10 computes the log of x with base 10 to the specified scale and stores the result in z, which is also the return value. The function will panic if x is a negative number.

func LogN

func LogN(z *inf.Dec, x *inf.Dec, n *inf.Dec, s inf.Scale) *inf.Dec

LogN computes the log of x with base n to the specified scale and stores the result in z, which is also the return value. The function will panic if x is a negative number or if n is a negative number.

func Mod

func Mod(z, x, y *inf.Dec) *inf.Dec

Mod performs the modulo arithmatic x % y and stores the result in z, which is also the return value. It is valid for z to be nil, in which case it will be allocated internally. Mod will panic if the y is zero.

The modulo calculation is implemented using the algorithm:

x % y = x - (y * ⌊x / y⌋).

func NewDecFromFloat

func NewDecFromFloat(f float64) *inf.Dec

NewDecFromFloat allocates and returns a new Dec set to the given float64 value. The function will panic if the float is NaN or ±Inf.

func Pow

func Pow(z, x, y *inf.Dec, s inf.Scale) *inf.Dec

Pow computes (x^y) as e^(y ln x) to the specified scale and stores the result in z, which is also the return value. If y is not an integer and x is negative nil is returned.

func PowerOfTenDec

func PowerOfTenDec(pow int) *inf.Dec

PowerOfTenDec returns an *inf.Dec with the value 10^pow. It should be treated as immutable.

Non-negative powers of 10 will have their value represented in their underlying big.Int with a scale of 0, while negative powers of 10 will have their value represented in their scale with a big.Int value of 1.

func PowerOfTenInt

func PowerOfTenInt(pow int) *big.Int

PowerOfTenInt returns a *big.Int with the value 10^pow. It should be treated as immutable.

func SetFromFloat

func SetFromFloat(z *inf.Dec, f float64) *inf.Dec

SetFromFloat sets z to the given float64 value and returns z. The function will panic if the float is NaN or ±Inf.

func Sqrt

func Sqrt(z, x *inf.Dec, s inf.Scale) *inf.Dec

Sqrt calculates the square root of x to the specified scale and stores the result in z, which is also the return value. The function will panic if x is a negative number.

The square root calculation is implemented using Newton's Method. We start with an initial estimate for sqrt(d), and then iterate:

x_{n+1} = 1/2 * ( x_n + (d / x_n) ).

Types

This section is empty.

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