A Rust library for accessing a collection of mathematical and cryptographic constants
Part of the Mini Functions family of libraries.
• Website • Documentation • Report Bug • Request Feature • Contributing Guidelines
Common (CMN) is a modern, fast, and user-friendly library that makes it easy to access a wide range of mathematical and cryptographic constants.
The Common (CMN) uses the serde crate to serialize and deserialize the data.
The library has three modules:
- Macros: This module contains functions for generating macros that can be used to access the constants and words.
- Constants: This module contains the
Constantsstructure, which provides a collection of constant values that are used throughout the library. - Words: This module contains the
Wordsstructure, which provides a collection of words that are used throughout the library.
The following table lists the most important mathematical and cryptographic constants available in the Common (CMN) library:
| Constants | Description | Example |
|---|---|---|
| APERY | Apéry's constant, which is the sum of the reciprocals of the positive cubes. ζ(3) ≈ 1.2020569032 |
Used in various mathematical calculations and series approximations. |
| AVOGADRO | Avogadro's constant is the number of atoms or molecules in one mole of a substance. N_A ≈ 6.02214076 x 10^23 mol^-1 |
The number of atoms in 12 grams of carbon-12 is 6.02214076 × 10^23. This can be used to calculate the number of atoms or molecules in a given sample. |
| BOLTZMANN | Boltzmann's constant is the physical constant relating the temperature of a system to the average kinetic energy of its constituent particles. k_B ≈ 1.380648 x 10^-23 J K^-1 |
The kinetic energy of an atom at room temperature is about 2.0 × 10^-21 joules. This can be used to calculate the temperature of a system, or to calculate the average kinetic energy of its particles. |
| CATALAN | Catalan's constant, which is the sum of the alternating harmonic series. C ≈ 0.915965594177219 |
Used in various mathematical calculations and series approximations. |
| COULOMB | Coulomb's constant, which is the proportionality constant in Coulomb's law. k_e ≈ 8.9875517923 x 10^9 N m^2 C^-2 |
Used in calculations related to electrostatic forces and electric fields. |
| EULER | Euler's constant is a mathematical constant approximately equal to 2.71828. e ≈ 2.7182818284590452353602874713527 |
The sum of the infinite series 1 + 1/2 + 1/3 + ... is equal to Euler's constant, e. This can be used to calculate the sum of an infinite series, or to calculate the logarithm of a number. |
| FARADAY | Faraday constant, which represents the amount of electric charge carried by one mole of electrons. F ≈ 96485.33212 C mol^-1 |
Used in calculations related to electrochemistry and electrolysis. |
| GAMMA | The gamma constant is a mathematical constant approximately equal to 0.57721. γ ≈ 0.5772156649015329 |
The gamma function of 2 is equal to 1. This can be used to calculate the gamma function of a number, or to calculate the factorial of a number. |
| GAS_CONSTANT | The gas constant, which relates the energy scale to the temperature scale in the ideal gas law. R ≈ 8.314462618 J mol^-1 K^-1 |
Used in calculations related to the behavior of gases and thermodynamics. |
| GLAISHER_KINKELIN | Glaisher-Kinkelin constant, which arises in the asymptotic expansion of the Barnes G-function. A ≈ 1.2824271291 |
Used in various mathematical calculations and series approximations. |
| GRAVITATIONAL_CONSTANT | The gravitational constant, which is the proportionality constant in Newton's law of universal gravitation. G ≈ 6.67430 x 10^-11 m^3 kg^-1 s^-2 |
Used in calculations related to gravitational forces and celestial mechanics. |
| HASH_ALGORITHM | The hash algorithm used to generate the hash. The default is Blake3. | The hash of the string "Hello, world!" is 5eb63bbbe01eeed093cb22bb8f5acdc32790160b123138d53f2173b8d3dc3eee. This can be used to verify the integrity of data, or to create a unique identifier for a file. |
| HASH_COST | The cost of the hash. | The hash cost of Blake3 is 2^128. This can be used to determine how secure a hash algorithm is. |
| HASH_LENGTH | The length of the hash. | The hash length of Blake3 is 32 bytes. This can be used to determine how much space is required to store the hash output. |
| KHINCHIN | Khinchin's constant, which appears in the theory of continued fractions. K ≈ 2.6854520010 |
Used in various mathematical calculations and series approximations. |
| PHI | The golden ratio is a number approximately equal to 1.618033988749895. φ = (1 + √5) / 2 ≈ 1.6180339887498948482045868343656 |
The golden ratio can be used to create a symmetrical design, or a design that is pleasing to the eye. |
| Pi (π) | Pi is the ratio of a circle's circumference to its diameter. π ≈ 3.14159265358979323846264338327950288 |
The circumference of a circle with a radius of 1 is equal to pi. This can be used to calculate the circumference, area, and volume of circles, spheres, and other geometric shapes. |
| PLANCK | Planck's constant, which relates the energy of a photon to its frequency. h ≈ 6.62607015 x 10^-34 J s |
The energy of a photon of light with a wavelength of 500 nanometers is equal to Planck's constant multiplied by the frequency of the light. This can be used to calculate the energy of photons and other elementary particles. |
| PLANCK_REDUCED | Planck's reduced constant, which is Planck's constant divided by 2π. ħ = h / (2π) ≈ 1.054571817 x 10^-34 J s |
Used in quantum mechanics and related calculations. |
| SILVER_RATIO | The silver ratio is one of the silver means. δ_s = 1 + √2 ≈ 2.4142135623730950488016887242097 |
The silver ratio can be used to create a symmetrical design, or a design that is pleasing to the eye. |
| SPEED_OF_LIGHT | The speed of light in vacuum. c ≈ 299792458 m s^-1 |
Used in calculations related to relativity and electromagnetic phenomena. |
| SPECIAL_CHARS | A set of special characters. | The special characters are: !@#$%^&*()_+-={}[] |
| SQRT2 | The square root of 2. √2 ≈ 1.4142135623730950488016887242097 |
The area of a circle with a radius of 1 is equal to the square root of 2. This can be used to calculate the area and volume of circles, spheres, and other geometric shapes. |
| SQRT3 | The square root of 3. √3 ≈ 1.7320508075688772935274463415059 |
The area of a circle with a radius of 1 is equal to the square root of 3. This can be used to calculate the area and volume of circles. |
| SQRT5 | The square root of 5. √5 ≈ 2.23606797749979 |
The area of a circle with a radius of 1 is equal to the square root of 5. |
| TAU | The circle constant, which is the ratio of a circle's circumference to its radius. τ = 2π ≈ 6.28318530717958647692528676655900577 |
The circumference of a circle with a radius of 1 is equal to tau. |
| VACUUM_PERMEABILITY | The vacuum permeability, which relates magnetic induction to magnetic field strength. μ_0 ≈ 1.25663706212 x 10^-6 N A^-2 |
Used in calculations related to electromagnetism and magnetic fields. |
| VACUUM_PERMITTIVITY | The vacuum permittivity, which relates electric displacement to electric field strength. ε_0 ≈ 8.8541878128 x 10^-12 F m^-1 |
Used in calculations related to electromagnetism and electric fields. |
It takes just a few minutes to get up and running with Common (CMN).
To install Common (CMN), you need to have the Rust toolchain installed on your machine. You can install the Rust toolchain by following the instructions on the Rust website.
Once you have the Rust toolchain installed, you can install Common (CMN) using the following command:
cargo install cmnThe minimum supported Rust toolchain version is currently Rust 1.60 or later (stable). It is recommended that you install the latest stable version of Rust.
cmn supports a variety of CPU architectures. It is supported and tested on MacOS, Linux, and Windows.
ℹ️ Info: Please check out our website for more information. You can find our documentation on docs.rs, lib.rs and crates.io.
To use the Common (CMN) library in your project, add the following to your Cargo.toml file:
[dependencies]
cmn = "0.0.4"Add the following to your main.rs file:
extern crate cmn;
use cmn::*;then you can use the functions in your application code.
Common (CMN) comes with a set of examples that you can use to get started. The examples are located in the examples directory of the project. To run the examples, clone the repository and run the following command in your terminal from the project root directory.
cargo run --example cmnFor transparency into our release cycle and in striving to maintain backward compatibility, Common (CMN) follows semantic versioning.
Common (CMN)is distributed under the terms of both the MIT license and the
Apache License (Version 2.0).
See LICENSE-APACHE and LICENSE-MIT for details.
We welcome all people who want to contribute. Please see the contributing instructions for more information.
Contributions in any form (issues, pull requests, etc.) to this project must adhere to the Rust's Code of Conduct.
Unless you explicitly state otherwise, any contribution intentionally submitted for inclusion in the work by you, as defined in the Apache-2.0 license, shall be dual licensed as above, without any additional terms or conditions.
A big thank you to all the awesome contributors of the Common (CMN) Library for their help and support.
A special thank you goes to the Rust Reddit community for providing a lot of useful suggestions on how to improve this project.