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name: CI | ||
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on: | ||
pull_request: | ||
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jobs: | ||
lint: | ||
runs-on: ubuntu-latest | ||
steps: | ||
- name: Check out code into the Go module directory | ||
uses: actions/checkout@v4 | ||
with: | ||
fetch-depth: 0 | ||
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- name: Setup Go | ||
uses: actions/setup-go@v5 | ||
with: | ||
go-version-file: go.mod | ||
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- name: Run lint check | ||
uses: reviewdog/action-golangci-lint@v2 | ||
with: | ||
reporter: github-pr-review | ||
go_version_file: go.mod | ||
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test: | ||
strategy: | ||
matrix: | ||
go-version: [oldstable, stable] | ||
os: [ubuntu-latest, windows-latest, macos-latest] | ||
runs-on: ${{ matrix.os }} | ||
steps: | ||
- name: Check out code into the Go module directory | ||
uses: actions/checkout@v4 | ||
with: | ||
fetch-depth: 0 | ||
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- name: Setup Go | ||
uses: actions/setup-go@v5 | ||
with: | ||
go-version-file: go.mod | ||
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- name: Run tests | ||
run: go test -tags='!fuzz' -v -race -failfast -coverprofile="coverage.txt" -covermode=atomic ./... | ||
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- name: Codecov | ||
if: matrix.os == 'ubuntu-latest' && matrix.go-version == 'stable' | ||
uses: codecov/codecov-action@v4 | ||
with: | ||
token: ${{ secrets.CODECOV_TOKEN }} | ||
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fuzz: | ||
runs-on: ubuntu-latest | ||
steps: | ||
- name: Check out code into the Go module directory | ||
uses: actions/checkout@v4 | ||
with: | ||
fetch-depth: 0 | ||
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- name: Setup Go | ||
uses: actions/setup-go@v5 | ||
with: | ||
go-version-file: go.mod | ||
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- name: Run fuzz tests | ||
run: make fuzz-all 30 |
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name: CodeCov | ||
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on: | ||
push: | ||
branches: | ||
- master | ||
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jobs: | ||
test: | ||
runs-on: ubuntu-latest | ||
steps: | ||
- name: Check out code into the Go module directory | ||
uses: actions/checkout@v4 | ||
with: | ||
fetch-depth: 0 | ||
|
||
- name: Setup Go | ||
uses: actions/setup-go@v5 | ||
with: | ||
go-version-file: go.mod | ||
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- name: Run tests | ||
run: go test -tags='!fuzz' -v -race -failfast -coverprofile="coverage.txt" -covermode=atomic ./... | ||
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- name: Codecov | ||
uses: codecov/codecov-action@v4 | ||
with: | ||
token: ${{ secrets.CODECOV_TOKEN }} |
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# udecimal | ||
# udecimal | ||
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[![build](https://github.com/quagmt/udecimal/actions/workflows/ci.yaml/badge.svg)](https://github.com/quagmt/udecimal/actions/workflows/ci.yaml) | ||
[![Go Report Card](https://goreportcard.com/badge/github.com/quagmt/udecimal)](https://goreportcard.com/report/github.com/quagmt/udecimal) | ||
[![codecov](https://codecov.io/gh/quagmt/udecimal/graph/badge.svg?token=662ET843EZ)](https://codecov.io/gh/quagmt/udecimal) | ||
[![GoDoc](https://pkg.go.dev/badge/github.com/quagmt/udecimal)](https://pkg.go.dev/github.com/quagmt/udecimal) | ||
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High performance, high precision fixed-point decimal number for financial applications. | ||
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## Installation | ||
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```sh | ||
go get github.com/quagmt/udecimal | ||
``` | ||
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## Features | ||
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- **High Precision**: Supports up to 19 decimal places with no precision loss during arithmetic operations. | ||
- **Optimized for Speed**: Designed for high performance with zero memory allocation in most cases (see [Benchmarks](benchmarks/BENCHMARKS.md) and [How it works](#how-it-works)). | ||
- **Panic-Free**: All errors are returned as values, ensuring no unexpected panics. | ||
- **Immutable**: All arithmetic operations return a new `Decimal` value, preserving the original value and safe for concurrent use. | ||
- **Versatile Rounding Methods**: Includes HALF AWAY FROM ZERO, HALF TOWARD ZERO, and Banker's rounding. | ||
<br/> | ||
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**NOTE**: This library does not perform implicit rounding. If the result of an operation exceeds the maximum precision, extra digits are truncated. All rounding methods must be explicitly invoked. (see [Rounding Methods](#rounding-methods) for more details) | ||
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## Documentation | ||
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- Checkout [documentation](https://pkg.go.dev/github.com/quagmt/udecimal) for more information. | ||
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## Usage | ||
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```go | ||
package main | ||
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import ( | ||
"fmt" | ||
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"github.com/quagmt/udecimal" | ||
) | ||
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func main() { | ||
// Create a new decimal number | ||
a, _ := udecimal.NewFromInt64(123456, 3) // a = 123.456 | ||
b, _ := udecimal.NewFromInt64(-123456, 4) // b = -12.3456 | ||
c, _ := udecimal.NewFromFloat64(1.2345) // c = 1.2345 | ||
d, _ := udecimal.Parse("4123547.1234567890123456789") // d = 4123547.1234567890123456789 | ||
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// Basic arithmetic operations | ||
fmt.Println(a.Add(b)) // 123.456 - 12.3456 = 111.1104 | ||
fmt.Println(a.Sub(b)) // 123.456 + 12.3456 = 135.8016 | ||
fmt.Println(a.Mul(b)) // 123.456 * -12.3456 = -1524.1383936 | ||
fmt.Println(a.Div(b)) // 123.456 / -12.3456 = -10 | ||
fmt.Println(a.Div(d)) // 123.456 / 4123547.1234567890123456789 = 0.0000299392722585176 | ||
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// Divide with precision, extra digits are truncated | ||
fmt.Println(a.DivExact(c, 10)) // 123.456 / 1.2345 = 100.0048602673 | ||
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// Rounding | ||
fmt.Println(c.RoundBank(3)) // banker's rounding: 1.2345 -> 1.234 | ||
fmt.Println(c.RoundHAZ(3)) // half away from zero: 1.2345 -> 1.235 | ||
fmt.Println(c.RoundHTZ(3)) // half towards zero: 1.2345 -> 1.234 | ||
fmt.Println(c.Trunc(2)) // truncate: 1.2345 -> 1.23 | ||
fmt.Println(c.Floor()) // floor: 1.2345 -> 1 | ||
fmt.Println(c.Ceil()) // ceil: 1.2345 -> 2 | ||
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// Display | ||
fmt.Println(a.String()) // 123.456 | ||
fmt.Println(a.StringFixed(10)) // 123.4560000000 | ||
fmt.Println(a.InexactFloat64()) // 123.456 | ||
} | ||
``` | ||
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## Rounding Methods | ||
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Rounding numbers can often be challenging and confusing due to the [variety of methods](https://www.mathsisfun.com/numbers/rounding-methods.html) available. Each method serves specific purposes, and it's common for developers to make mistakes or incorrect assumptions about how rounding should be performed. For example, the result of `round(1.45)` could be either 1.4 or 1.5, depending on the rounding method used. | ||
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This issue is particularly critical in financial applications, where even minor rounding errors can accumulate and lead to significant financial losses. To mitigate such errors, this library intentionally avoids implicit rounding. If the result of an operation exceeds the maximum precision specified by developers beforehand, **extra digits are truncated**. Developers need to explicitly choose the rounding method they want to use. The supported rounding methods are: | ||
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- [Banker's rounding](https://en.wikipedia.org/wiki/Rounding#Rounding_half_to_even) or round half to even | ||
- [Half away from zero](https://en.wikipedia.org/wiki/Rounding#Rounding_half_away_from_zero) (HAZ) | ||
- [Half toward zero](https://en.wikipedia.org/wiki/Rounding#Rounding_half_toward_zero) (HTZ) | ||
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### Examples: | ||
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```go | ||
package main | ||
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import ( | ||
"fmt" | ||
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"github.com/quagmt/udecimal" | ||
) | ||
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func main() { | ||
// Create a new decimal number | ||
a, _ := udecimal.NewFromFloat64(1.5) // a = 1.5 | ||
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// Rounding | ||
fmt.Println(a.RoundBank(0)) // banker's rounding: 1.5 -> 2 | ||
fmt.Println(a.RoundHAZ(0)) // half away from zero: 1.5 -> 2 | ||
fmt.Println(a.RoundHTZ(0)) // half towards zero: 1.5 -> 1 | ||
} | ||
``` | ||
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## How it works | ||
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As mentioned above, this library is not always memory allocation free. To understand why, let's take a look at how the `Decimal` type is implemented. | ||
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The `Decimal` type represents a fixed-point decimal number. It consists of three components: sign, coefficient, and prec. The number is represented as: | ||
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```go | ||
// decimal value = (neg == true ? -1 : 1) * coef * 10^(-prec) | ||
type Decimal struct { | ||
neg bool | ||
coef bint | ||
prec uint8 // 0 <= prec <= 19 | ||
} | ||
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// Example: | ||
// 123.456 = 123456 * 10^-3 | ||
// -> neg = false, coef = 123456, prec = 3 | ||
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// -123.456 = -123456 / 10^-3 | ||
// -> neg = true, coef = 123456, prec = 3 | ||
``` | ||
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<br/> | ||
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You can notice that `coef` data type is `bint`, which is a custom data type: | ||
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```go | ||
type bint struct { | ||
// Indicates if the coefficient exceeds 128-bit limit | ||
overflow bool | ||
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// Indicates if the coefficient exceeds 128-bit limit | ||
u128 u128 | ||
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// For coefficients exceeding 128-bit | ||
bigInt *big.Int | ||
} | ||
``` | ||
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The `bint` type can store coefficients up to `2^128 - 1` using `u128`. Arithmetic operations with `u128` are fast and require no memory allocation. If result of an arithmetic operation exceeds u128 capacity, the whole operation will be performed using `big.Int` API. Such operations are slower and do involve memory allocation. However, those cases are rare in financial applications due to the extensive range provided by a 128-bit unsigned integer, for example: | ||
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- If precision is 0, the decimal range it can store is: | ||
`[-340282366920938463463374607431768211455, 340282366920938463463374607431768211456]`(approximately -340 to 340 undecillion) | ||
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- If precision is 19, the decimal range becomes: | ||
`[-34028236692093846346.3374607431768211455, 34028236692093846346.3374607431768211455]` (approximately -34 to 34 quintillion) | ||
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Therefore, in most cases you can expect high performance and no memory allocation when using this library. | ||
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## Credits | ||
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This library is inspired by [govalues/decimal](https://github.com/govalues/decimal) and [lukechampine/uint128](https://github.com/lukechampine/uint128) | ||
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## License | ||
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**MIT** |
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