https://github.com/MikeLankamp/fpm

C++ header-only fixed-point math library
https://github.com/MikeLankamp/fpm

cxx11 deterministic fixed-point header-only maths

Last synced: about 1 month ago
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C++ header-only fixed-point math library

• Host: GitHub
• URL: https://github.com/MikeLankamp/fpm
• Owner: MikeLankamp
• License: mit
• Created: 2019-01-16T20:03:29.000Z (over 5 years ago)
• Default Branch: master
• Last Pushed: 2024-05-09T21:41:56.000Z (about 1 month ago)
• Last Synced: 2024-05-09T22:42:41.352Z (about 1 month ago)
• Topics: cxx11, deterministic, fixed-point, header-only, maths
• Language: C++
• Homepage: https://mikelankamp.github.io/fpm
• Size: 444 KB
• Stars: 599
• Watchers: 20
• Forks: 73
• Open Issues: 15
• Metadata Files:
  • Readme: README.md
  • License: LICENSE
  • Code of conduct: CODE_OF_CONDUCT.md

Lists

• awesome-hpp - fpm - point math library. | [](https://opensource.org/licenses/MIT) | (Mathematics)
• Awesome-SLAM - fpm - only fixed-point math library (8. Tutorials / 8.4 Optimization Techniques)

README

        
# fpm

A C++ header-only fixed-point math library. "fpm" stands for "fixed-point math".

It is designed to serve as a drop-in replacement for floating-point types and aims to provide as much of the standard library's functionality as possible with exclusively integers. `fpm` requires C++11 or higher.

[![Build Status](https://travis-ci.org/MikeLankamp/fpm.svg?branch=master)](https://travis-ci.org/MikeLankamp/fpm)

[![Build status](https://ci.appveyor.com/api/projects/status/0velpwqk38spu412?svg=true)](https://ci.appveyor.com/project/MikeLankamp/fpm)

`fpm` is designed to guard against accidental conversion to and from floats and supports many of the standard C++ maths functions, including trigonometry, power and logarithmic functions, with performance and accuracy generally comparable to alternative libraries.

## Why use fixed-point math?

There are several reasons why you can not or choose not to use floating-point math, but still want a similar type:

* Your target platform lacks an FPU, does not support floating-point operations or its floating-point operations are

  considerably slower than fixed-point integer operations.

* You require deterministic calculations.

If any of these reasons apply for you, and your problem domain has a clearly outlined range and required resolution,

then fixed-point numbers might be a solution for you.

## Quick Start

To use `fpm`, include its header `` and use the `fpm::fixed_16_16`, `fpm::fixed_24_8` or `fpm::fixed_8_24`

types as if they were native floating-pointer types:

```c++

#include   // For fpm::fixed_16_16

#include    // For fpm::cos

#include     // For fpm::operator<<

#include        // For std::cin, std::cout

int main() {

    std::cout << "Please input a number: ";

    fpm::fixed_16_16 x;

    std::cin >> x;

    std::cout << "The cosine of " << x << " radians is: " << cos(x) << std::endl;

    return 0;

}

```

To use the fixed-point equivalents of the `` functions such as `sqrt`, `sin` and `log`, include the header ``.

To stream fixed-point values to or from streams, include the header ``.

## Documentation

Please refer to the [documentation](docs/index.md) for detailed information how to use `fpm`, or skip straight to the [performance](docs/performance.md) or [accuracy](docs/accuracy.md) results.

## Contributions

This library is a work-in-progress. We welcome any contributions that improve the functional coverage or the performance or accuracy of the mathematical functions.

## License

See the [LICENSE](LICENSE) file