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https://github.com/govalues/decimal

Immutable floating-point decimals for Go
https://github.com/govalues/decimal

ansi-x3-274 decimal financial floating-point general-decimal-arithmetic go golang money

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Immutable floating-point decimals for Go

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# decimal

[![githubb]][github]
[![codecovb]][codecov]
[![goreportb]][goreport]
[![godocb]][godoc]
[![licenseb]][license]
[![versionb]][version]
[![awesomeb]][awesome]

Package decimal implements immutable decimal floating-point numbers for Go.
This package is designed specifically for use in transactional financial systems.

## Key Features

- **Immutability** - Once set, a decimal remains constant,
ensuring safe concurrent access across goroutines.
- **Banker's Rounding** - Uses [half-to-even] rounding, also known as
"banker's rounding", to minimize cumulative rounding errors commonly seen
in financial calculations.
- **Accurate Artihmetic** - All methods are precisely rounded to a 19-digit
precision, ensuring results are as close as possible to the true mathematical value.
- **No Panics** - All methods are panic-free, returning errors instead of crashing
your application in cases such as overflow or division by zero.
- **No Heap Allocations** - Optimized to avoid heap allocations,
reducing garbage collector impact during arithmetic operations.
- **Simple String Representation** - Decimals are represented in a strightforward
format avoiding the complexities of scientific or engineering notations.
- **Rigorous Testing** - All methods are cross-validated against
the [cockroachdb/apd] and [shopspring/decimal] packages throught extensive [fuzz testing].

## Getting Started

### Installation

To add the decimal package to your Go workspace:

```bash
go get github.com/govalues/decimal
```

### Basic Usage

Create decimal values using one of the constructors.
After creating a decimal, you can perform various operations as shown below:

```go
package main

import (
"fmt"
"github.com/govalues/decimal"
)

func main() {
// Constructors
d, _ := decimal.New(8, 0) // d = 8
e, _ := decimal.Parse("12.5") // e = 12.5
f, _ := decimal.NewFromFloat64(2.567) // f = 2.567
g, _ := decimal.NewFromInt64(7, 896, 3) // g = 7.896

// Arithmetic operations
fmt.Println(d.Add(e)) // 8 + 12.5
fmt.Println(d.Sub(e)) // 8 - 12.5
fmt.Println(d.SubAbs(e)) // abs(8 - 12.5)

fmt.Println(d.Mul(e)) // 8 * 12.5
fmt.Println(d.AddMul(e, f)) // 8 + 12.5 * 2.567
fmt.Println(d.SubMul(e, f)) // 8 - 12.5 * 2.567
fmt.Println(d.PowInt(2)) // 8²

fmt.Println(d.Quo(e)) // 8 / 12.5
fmt.Println(d.AddQuo(e, f)) // 8 + 12.5 / 2.567
fmt.Println(d.SubQuo(e, f)) // 8 - 12.5 / 2.567
fmt.Println(d.QuoRem(e)) // 8 div 12.5, 8 mod 12.5
fmt.Println(d.Inv()) // 1 / 8

// Transcendental functions
fmt.Println(d.Sqrt()) // √8
fmt.Println(d.Exp()) // exp(8)
fmt.Println(d.Log()) // ln(8)

// Rounding to 2 decimal places
fmt.Println(g.Round(2)) // 7.90
fmt.Println(g.Ceil(2)) // 7.90
fmt.Println(g.Floor(2)) // 7.89
fmt.Println(g.Trunc(2)) // 7.89

// Conversions
fmt.Println(f.Int64(9)) // 2 567000000
fmt.Println(f.Float64()) // 2.567
fmt.Println(f.String()) // 2.567

// Formatting
fmt.Printf("%.2f", f) // 2.57
fmt.Printf("%.2k", f) // 256.70%
}
```

## Documentation

For detailed documentation and additional examples, visit the package
[documentation](https://pkg.go.dev/github.com/govalues/decimal#section-documentation).
For examples related to financial calculations, see the `money` package
[documentation](https://pkg.go.dev/github.com/govalues/money#section-documentation).

## Comparison

Comparison with other popular packages:

| Feature | govalues | [cockroachdb/apd] v3.2.1 | [shopspring/decimal] v1.4.0 |
| ----------------- | --------- | ------------------------ | --------------------------- |
| Speed | High | Medium | Low[^reason] |
| Mutability | Immutable | Mutable[^reason] | Immutable |
| Heap Allocations | No | Medium | High |
| Panic Free | Yes | Yes | No[^divzero] |
| Precision | 19 digits | Arbitrary | Arbitrary |
| Correctly Rounded | Yes | No | No |
| Context | Implicit | Explicit | Implicit |

[^reason]: decimal package was created simply because [shopspring/decimal] was
too slow and [cockroachdb/apd] was mutable.

[^divzero]: [shopspring/decimal] panics on division by zero.

### Benchmarks

```text
goos: linux
goarch: amd64
pkg: github.com/govalues/decimal-tests
cpu: AMD Ryzen 7 3700C with Radeon Vega Mobile Gfx
```

| Test Case | Expression | govalues | [cockroachdb/apd] v3.2.1 | [shopspring/decimal] v1.4.0 | govalues vs cockroachdb | govalues vs shopspring |
| --------- | --------------------- | -------: | -----------------------: | --------------------------: | ----------------------: | ---------------------: |
| Add | 5 + 6 | 16.06n | 74.88n | 140.90n | +366.22% | +777.33% |
| Mul | 2 * 3 | 16.93n | 62.20n | 146.00n | +267.40% | +762.37% |
| Quo | 2 / 4 (exact) | 59.52n | 176.95n | 657.40n | +197.30% | +1004.50% |
| Quo | 2 / 3 (inexact) | 391.60n | 976.80n | 2962.50n | +149.39% | +656.42% |
| PowInt | 1.1^60 | 950.90n | 3302.50n | 4599.50n | +247.32% | +383.73% |
| PowInt | 1.01^600 | 3.45µ | 10.67µ | 18.67µ | +209.04% | +440.89% |
| PowInt | 1.001^6000 | 5.94µ | 20.50µ | 722.22µ | +244.88% | +12052.44% |
| Sqrt | √2 | 3.40µ | 4.96µ | 2101.86µ | +46.00% | +61755.71% |
| Exp | exp(0.5) | 8.35µ | 39.28µ | 20.06µ | +370.58% | +140.32% |
| Log | ln(0.5) | 54.89µ | 129.01µ | 151.55µ | +135.03% | +176.10% |
| Parse | 1 | 16.52n | 76.30n | 136.55n | +362.00% | +726.82% |
| Parse | 123.456 | 47.37n | 176.90n | 242.60n | +273.44% | +412.14% |
| Parse | 123456789.1234567890 | 85.49n | 224.15n | 497.95n | +162.19% | +482.47% |
| String | 1 | 5.11n | 19.57n | 198.25n | +283.21% | +3783.07% |
| String | 123.456 | 35.78n | 77.12n | 228.85n | +115.52% | +539.51% |
| String | 123456789.1234567890 | 70.72n | 239.10n | 337.25n | +238.12% | +376.91% |
| Telco | (see [specification]) | 137.00n | 969.40n | 3981.00n | +607.33% | +2804.78% |

The benchmark results shown in the table are provided for informational purposes only and may vary depending on your specific use case.

[codecov]: https://codecov.io/gh/govalues/decimal
[codecovb]: https://img.shields.io/codecov/c/github/govalues/decimal/main?color=brightcolor
[goreport]: https://goreportcard.com/report/github.com/govalues/decimal
[goreportb]: https://goreportcard.com/badge/github.com/govalues/decimal
[github]: https://github.com/govalues/decimal/actions/workflows/go.yml
[githubb]: https://img.shields.io/github/actions/workflow/status/govalues/decimal/go.yml
[godoc]: https://pkg.go.dev/github.com/govalues/decimal#section-documentation
[godocb]: https://img.shields.io/badge/go.dev-reference-blue
[version]: https://go.dev/dl
[versionb]: https://img.shields.io/github/go-mod/go-version/govalues/decimal?label=go
[license]: https://en.wikipedia.org/wiki/MIT_License
[licenseb]: https://img.shields.io/github/license/govalues/decimal?color=blue
[awesome]: https://github.com/avelino/awesome-go#financial
[awesomeb]: https://awesome.re/mentioned-badge.svg
[cockroachdb/apd]: https://pkg.go.dev/github.com/cockroachdb/apd
[shopspring/decimal]: https://pkg.go.dev/github.com/shopspring/decimal
[specification]: https://speleotrove.com/decimal/telcoSpec.html
[fuzz testing]: https://github.com/govalues/decimal-tests
[half-to-even]: https://en.wikipedia.org/wiki/Rounding#Rounding_half_to_even