Arbitrary precision arithmetic.
Project description
rithm
In what follows python
is an alias for python3.7
or pypy3.7
or any later version (python3.8
, pypy3.8
and so on).
Installation
Install the latest pip
& setuptools
packages versions
python -m pip install --upgrade pip setuptools
User
Download and install the latest stable version from PyPI
repository
python -m pip install --upgrade rithm
Developer
Download the latest version from GitHub
repository
git clone https://github.com/lycantropos/rithm.git
cd rithm
Install dependencies
python -m pip install -r requirements.txt
Install
python setup.py install
Usage
Python
Arbitrary precision integer
With setup
>>> from rithm import Int
we can:
- construct
>>> Int() rithm.Int(0) >>> Int(9) rithm.Int(9) >>> Int('9') rithm.Int(9) >>> Int('0b1_001', 2) rithm.Int(9) >>> Int('0o11', 8) rithm.Int(9) >>> Int('0x9', 16) rithm.Int(9) >>> Int('1_001', 2) rithm.Int(9) >>> Int('0o11', 8) rithm.Int(9) >>> Int('9', 16) rithm.Int(9) >>> Int(9.99) rithm.Int(9)
- compare
>>> Int(9) == Int(9) True >>> Int(9) >= Int(9) True >>> Int(9) > Int(8) True >>> Int(9) <= Int(9) True >>> Int(9) < Int(10) True
- calculate
>>> abs(Int(-9)) rithm.Int(9) >>> Int(4) + Int(5) rithm.Int(9) >>> Int(9) & Int(11) rithm.Int(9) >>> Int(19) // Int(2) rithm.Int(9) >>> ~Int(-10) rithm.Int(9) >>> Int(19) % Int(10) rithm.Int(9) >>> Int(3) * Int(3) rithm.Int(9) >>> -Int(-9) rithm.Int(9) >>> Int(1) | Int(8) rithm.Int(9) >>> Int(3) ** Int(2) rithm.Int(9) >>> Int(5) << Int(1) rithm.Int(10) >>> Int(5) >> Int(1) rithm.Int(2) >>> Int(25) - Int(16) rithm.Int(9) >>> Int(18) / Int(2) rithm.Fraction(rithm.Int(9), rithm.Int(1)) >>> Int(2) ^ Int(11) rithm.Int(9)
Exact fraction
With setup
>>> from rithm import Fraction
we can:
- construct
>>> Fraction() rithm.Fraction(rithm.Int(0), rithm.Int(1)) >>> Fraction(1) rithm.Fraction(rithm.Int(1), rithm.Int(1)) >>> Fraction(1, 2) rithm.Fraction(rithm.Int(1), rithm.Int(2)) >>> Fraction(50, 100) rithm.Fraction(rithm.Int(1), rithm.Int(2)) >>> Fraction(0.5) rithm.Fraction(rithm.Int(1), rithm.Int(2))
- compare
>>> Fraction(1, 2) == Fraction(1, 2) True >>> Fraction(1, 2) >= Fraction(1, 2) True >>> Fraction(1, 2) > Fraction(1, 3) True >>> Fraction(1, 2) < Fraction(2, 3) True >>> Fraction(1, 2) != Fraction(1, 3) True
- calculate
>>> abs(Fraction(-1, 2)) rithm.Fraction(rithm.Int(1), rithm.Int(2)) >>> Fraction(1, 3) + Fraction(1, 6) rithm.Fraction(rithm.Int(1), rithm.Int(2)) >>> Fraction(3, 2) // Fraction(1) rithm.Int(1) >>> Fraction(3, 2) % Fraction(1) rithm.Fraction(rithm.Int(1), rithm.Int(2)) >>> Fraction(1, 3) * Fraction(3, 2) rithm.Fraction(rithm.Int(1), rithm.Int(2)) >>> -Fraction(-1, 2) rithm.Fraction(rithm.Int(1), rithm.Int(2)) >>> Fraction(1, 2) ** 2 rithm.Fraction(rithm.Int(1), rithm.Int(4)) >>> Fraction(3, 2) - Fraction(1) rithm.Fraction(rithm.Int(1), rithm.Int(2)) >>> Fraction(1, 3) / Fraction(2, 3) rithm.Fraction(rithm.Int(1), rithm.Int(2))
Rust
Arbitrary precision integer
/// With setup
use std::convert::TryFrom;
use traiter::numbers::{
Abs, DivEuclid, FromStrRadix, Pow, RemEuclid, Zeroable
};
use rithm::big_int;
#[cfg(target_arch = "x86")]
type Digit = u16;
#[cfg(not(target_arch = "x86"))]
type Digit = u32;
const BINARY_SHIFT: usize = (Digit::BITS - 1) as usize;
const _: () = assert!(big_int::is_valid_shift::<Digit, BINARY_SHIFT>());
type BigInt = big_int::BigInt<Digit, '_', BINARY_SHIFT>;
/// we can:
/// - construct
assert_eq!(BigInt::zero(), 0);
assert_eq!(BigInt::from(9), 9);
assert_eq!(BigInt::try_from("9").unwrap(), 9);
assert_eq!(BigInt::try_from("0b1_001").unwrap(), 9);
assert_eq!(BigInt::try_from("0o11").unwrap(), 9);
assert_eq!(BigInt::try_from("0x9").unwrap(), 9);
assert_eq!(BigInt::from_str_radix("1_001", 2).unwrap(), 9);
assert_eq!(BigInt::from_str_radix("11", 8).unwrap(), 9);
assert_eq!(BigInt::from_str_radix("9", 16).unwrap(), 9);
assert_eq!(BigInt::try_from(9.99).unwrap(), 9);
/// - compare
assert!(BigInt::from(9) == BigInt::from(9));
assert!(BigInt::from(9) >= BigInt::from(9));
assert!(BigInt::from(9) > BigInt::from(8));
assert!(BigInt::from(9) <= BigInt::from(9));
assert!(BigInt::from(9) < BigInt::from(10));
/// - calculate
assert_eq!(BigInt::from(-9).abs(), 9);
assert_eq!(BigInt::from(4) + BigInt::from(5), 9);
assert_eq!(BigInt::from(9) & BigInt::from(11), 9);
assert_eq!(BigInt::from(1) | BigInt::from(8), 9);
assert_eq!(BigInt::from(2) ^ BigInt::from(11), 9);
assert_eq!(BigInt::from(19) / BigInt::from(2), 9);
assert_eq!(BigInt::from(19).div_euclid(BigInt::from(2)), 9);
assert_eq!(BigInt::from(3) * BigInt::from(3), 9);
assert_eq!(-BigInt::from(-9), 9);
assert_eq!(!BigInt::from(-10), 9);
assert_eq!(BigInt::from(3).pow(BigInt::from(2)), 9);
assert_eq!(BigInt::from(19) % BigInt::from(10), 9);
assert_eq!(BigInt::from(19).rem_euclid(BigInt::from(10)), 9);
assert_eq!(BigInt::from(5) << 1, 10);
assert_eq!(BigInt::from(5) >> 1, 2);
assert_eq!(BigInt::from(25) - BigInt::from(16), 9);
Exact fraction
/// With setup
use std::convert::TryFrom;
use traiter::numbers::{Abs, DivEuclid, Pow, RemEuclid, Unitary, Zeroable};
use rithm::fraction;
type Fraction = fraction::Fraction<i8>;
/// we can:
/// - construct
assert_eq!(Fraction::zero(), 0);
assert_eq!(Fraction::one(), 1);
assert_eq!(Fraction::new(1, 2), Some(Fraction::from(1) / 2));
assert_eq!(Fraction::new(50, 100), Fraction::new(1, 2));
assert_eq!(Fraction::try_from(0.5).unwrap(), Fraction::new(1, 2).unwrap());
/// - compare
assert!(Fraction::new(1, 2).unwrap() == Fraction::new(1, 2).unwrap());
assert!(Fraction::new(1, 2).unwrap() >= Fraction::new(1, 2).unwrap());
assert!(Fraction::new(1, 2).unwrap() > Fraction::new(1, 3).unwrap());
assert!(Fraction::new(1, 2).unwrap() <= Fraction::new(1, 2).unwrap());
assert!(Fraction::new(1, 2).unwrap() < Fraction::new(2, 3).unwrap());
assert!(Fraction::new(1, 2).unwrap() != Fraction::new(1, 3).unwrap());
/// - calculate
assert_eq!(Fraction::new(-1, 2).unwrap().abs(), Fraction::new(1, 2).unwrap());
assert_eq!(Fraction::new(1, 3).unwrap() + Fraction::new(1, 6).unwrap(),
Fraction::new(1, 2).unwrap());
assert_eq!(Fraction::new(1, 3).unwrap() / Fraction::new(2, 3).unwrap(),
Fraction::new(1, 2).unwrap());
assert_eq!(Fraction::new(3, 2).unwrap().div_euclid(Fraction::from(1)), 1);
assert_eq!(Fraction::new(1, 3).unwrap() * Fraction::new(3, 2).unwrap(),
Fraction::new(1, 2).unwrap());
assert_eq!(-Fraction::new(-1, 2).unwrap(), Fraction::new(1, 2).unwrap());
assert_eq!(Fraction::new(1, 2).unwrap().pow(2), Fraction::new(1, 4).unwrap());
assert_eq!(Fraction::new(3, 2).unwrap() % Fraction::from(1),
Fraction::new(1, 2).unwrap());
assert_eq!(Fraction::new(3, 2).unwrap().rem_euclid(Fraction::from(1)),
Fraction::new(1, 2).unwrap());
assert_eq!(Fraction::new(3, 2).unwrap() - Fraction::from(1),
Fraction::new(1, 2).unwrap());
Development
Bumping version
Preparation
Install bump2version.
Pre-release
Choose which version number category to bump following semver specification.
Test bumping version
bump2version --dry-run --verbose $CATEGORY
where $CATEGORY
is the target version number category name, possible
values are patch
/minor
/major
.
Bump version
bump2version --verbose $CATEGORY
This will set version to major.minor.patch-alpha
.
Release
Test bumping version
bump2version --dry-run --verbose release
Bump version
bump2version --verbose release
This will set version to major.minor.patch
.
Running tests
Install dependencies
python -m pip install -r requirements-tests.txt
Plain
pytest
Inside Docker
container:
- with
CPython
docker-compose --file docker-compose.cpython.yml up
- with
PyPy
docker-compose --file docker-compose.pypy.yml up
Bash
script:
-
with
CPython
./run-tests.sh
or
./run-tests.sh cpython
-
with
PyPy
./run-tests.sh pypy
PowerShell
script:
- with
CPython
.\run-tests.ps1
or.\run-tests.ps1 cpython
- with
PyPy
.\run-tests.ps1 pypy
Project details
Release history Release notifications | RSS feed
Download files
Download the file for your platform. If you're not sure which to choose, learn more about installing packages.
Source Distribution
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MD5 | de2cf6db97cd857e1ed9a42e987b8cb6 |
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BLAKE2b-256 | 4aaa0d771ce2e25113d34da2e6c6c6e4c9ed68ebbb58210b1d29b18dd743e8f1 |
Hashes for rithm-10.3.0-cp38-cp38-manylinux_2_17_x86_64.manylinux2014_x86_64.whl
Algorithm | Hash digest | |
---|---|---|
SHA256 | bd41ff6b9c4c778abbfdffee9350bd4f3062ddae11c72d4821dcfb0bdd61c0dc |
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MD5 | a98d33b4b4b5552c2b9e3c45a4f0f401 |
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BLAKE2b-256 | b6e991e946562bf07b678eb1782c3652af07d7959e407d7b612bd7756456405e |
Hashes for rithm-10.3.0-cp38-cp38-manylinux_2_17_s390x.manylinux2014_s390x.whl
Algorithm | Hash digest | |
---|---|---|
SHA256 | d679d307e192d37690e23acfc7031a7f649e97cef5a4e3ec70b644726607c5f4 |
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MD5 | 29d8dc0271307bb7b9d19b2ee5b49400 |
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BLAKE2b-256 | bbb817abbbe575a47420a654f3984164ee4ae14296f3fd7ab202dab836aab853 |
Hashes for rithm-10.3.0-cp38-cp38-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl
Algorithm | Hash digest | |
---|---|---|
SHA256 | 79367cb28b749674826167c55c02eb454d1708d005ac4f3f2f1c1fba37d89e30 |
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MD5 | 1a6fd7088fa3d126ac15ec6b5560c1c9 |
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BLAKE2b-256 | fe6f8073b2b8eda710430a1ef333925a60bb2957287f0748dba41f6d81723c17 |
Hashes for rithm-10.3.0-cp38-cp38-manylinux_2_17_aarch64.manylinux2014_aarch64.whl
Algorithm | Hash digest | |
---|---|---|
SHA256 | aa642c588203bce9c3ae3d96a05b3948c28754e69447f0b7ae1efe08afc2808c |
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MD5 | cc1cf0daa69f89dc8de9d5f19fbcf34d |
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BLAKE2b-256 | b76fc9f1dc22c0e35e77d2af03e0e3f52f834209466238b84d4674c02e719d69 |
Hashes for rithm-10.3.0-cp38-cp38-manylinux_2_5_i686.manylinux1_i686.manylinux_2_17_i686.manylinux2014_i686.whl
Algorithm | Hash digest | |
---|---|---|
SHA256 | abb92ba3fe5ec97012071e8ee79cad69c5397d0a723a92eddc00d03f672f1f4a |
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MD5 | dcf3cbd6a96643085c6d66c1d4920e74 |
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BLAKE2b-256 | 2269cd9c4e75c34913cc04ae3a3abb915a8b045bd8a5f5fa9d80c7ad505dca98 |
Hashes for rithm-10.3.0-cp38-cp38-macosx_11_0_arm64.whl
Algorithm | Hash digest | |
---|---|---|
SHA256 | ad91f068b5e8a55dded6319c48f1ebea01fb7ae5ead68ec2efd77a28221a2115 |
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MD5 | c7db929b9db7ab040f21dd0ae07d5b0f |
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BLAKE2b-256 | c05cf9b0a13eaa4c0af2ce3c77da0d0560b4530c4ab039b73cafafe536212f85 |
Hashes for rithm-10.3.0-cp38-cp38-macosx_10_9_x86_64.whl
Algorithm | Hash digest | |
---|---|---|
SHA256 | 0017a93f242467c37e341b3c041c60b2a52788891da6492d422b516da07a2b73 |
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MD5 | 9e60351882b181230566d9368b5023da |
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BLAKE2b-256 | 9770185a3aa96300934421f2764fabd9056fee44656407f6f5f8fde72bc92663 |
Hashes for rithm-10.3.0-cp38-cp38-macosx_10_9_universal2.whl
Algorithm | Hash digest | |
---|---|---|
SHA256 | 0f8a4c11a565184521448102621a449cc40953bef20eb5ab2a1b9bafd002a3ad |
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MD5 | 915c8a80c1e4743c5d122d76247b94b3 |
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BLAKE2b-256 | c6dae4ef6cd1553e739b562707274ca80e2ea469ace5696c8835dc69f1a7ebcd |
Hashes for rithm-10.3.0-cp37-cp37m-win_amd64.whl
Algorithm | Hash digest | |
---|---|---|
SHA256 | cf5b499f894f260413f0f30fc1c88dc27e98a1fb612931b9ad528d6296801924 |
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MD5 | 70970147aa5d295bb4933ddb76d4704f |
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BLAKE2b-256 | ead3c31dc9ad0eae4b01e8046fd30c71449fa54123c7e173bdf8f062592c6a7b |
Hashes for rithm-10.3.0-cp37-cp37m-win32.whl
Algorithm | Hash digest | |
---|---|---|
SHA256 | c2d9d65fad1854d9cd85c75dd0d9eb9273801bec10cfe4f507aaced8f5b39017 |
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MD5 | ebcec9e77b0ebc097dd3f0274b61aadb |
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BLAKE2b-256 | c47757acb00bb1d5fc72ba6825904fece7f5e68ba32e90a85be8832160d587d7 |
Hashes for rithm-10.3.0-cp37-cp37m-musllinux_1_1_x86_64.whl
Algorithm | Hash digest | |
---|---|---|
SHA256 | 80dde260b9856e8ca96076b53f8714823312f24585a3156328347ac556a4445b |
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MD5 | 62c48c4dd59cde24e1d6845d7c38b4fa |
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BLAKE2b-256 | 0db2aeaeddae7b365d66c8e26eff4c1a7b75de5b04fd9dd8b8cbce05b26c1add |
Hashes for rithm-10.3.0-cp37-cp37m-musllinux_1_1_aarch64.whl
Algorithm | Hash digest | |
---|---|---|
SHA256 | 4a14bc2742dae91d3a63d497544aa842bb22f132485228d26f6572431cf62ce9 |
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MD5 | bc84a1116c5d0d86042805524ce9b7c8 |
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BLAKE2b-256 | 9773c6831b7d6d245c64aa1134afca95a8c100d5fc128c26b4f3657f7714942f |
Hashes for rithm-10.3.0-cp37-cp37m-manylinux_2_17_x86_64.manylinux2014_x86_64.whl
Algorithm | Hash digest | |
---|---|---|
SHA256 | d65fc2f3d48d4982a3d1c2e584a3109eac35be0a25414b4e8d1bc4874ff7b87b |
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MD5 | 3c47ad0b093388bc3b8d65dcc822eced |
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BLAKE2b-256 | 0c15afb7d36a7dd4b3205119cc41138a9db526ce60c2f2c446c01582dd69175e |
Hashes for rithm-10.3.0-cp37-cp37m-manylinux_2_17_s390x.manylinux2014_s390x.whl
Algorithm | Hash digest | |
---|---|---|
SHA256 | 97187f18f8bab7c806cc765dc14444515750287b8743de69864ebc33ef55598b |
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MD5 | 740fc011795a7f30622abe49de08c46e |
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BLAKE2b-256 | bae4c0ba2628e952d9c0abdf0f69d38f33c793609a099f6031ad8801ca137fb3 |
Hashes for rithm-10.3.0-cp37-cp37m-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl
Algorithm | Hash digest | |
---|---|---|
SHA256 | 7da97f35474aa32833cb06114fe1ee593ce45d0d495c8293dba8bcc05c4cd7a1 |
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MD5 | 3fa119b9df918d909d7214ec5daba1b7 |
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BLAKE2b-256 | 36115190a6d04a646380c896a4c44a35963612b3a314bdcc1dcc26838d58828b |
Hashes for rithm-10.3.0-cp37-cp37m-manylinux_2_17_aarch64.manylinux2014_aarch64.whl
Algorithm | Hash digest | |
---|---|---|
SHA256 | 25b95d027ece0d35edb914c665322df6d2c68e3af1488fc368788eaa89b06858 |
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MD5 | 23da95cfa2574482080ce7929ee9fabd |
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BLAKE2b-256 | bffb89725bb69e96df60b7007b033274489ddd8135a2f4428d83d87664bd8b64 |
Hashes for rithm-10.3.0-cp37-cp37m-manylinux_2_5_i686.manylinux1_i686.manylinux_2_17_i686.manylinux2014_i686.whl
Algorithm | Hash digest | |
---|---|---|
SHA256 | b0158b5e4ae3a45822375343fd18df4d0177437db4a2a3545b57a614497b883a |
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MD5 | 4fab90cd3de01e27d7699fadbeba439f |
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BLAKE2b-256 | 64d2a0170ce5eca1d12f952a90658c1350e46409737058743b5ad4151e3d0ced |
Hashes for rithm-10.3.0-cp37-cp37m-macosx_10_9_x86_64.whl
Algorithm | Hash digest | |
---|---|---|
SHA256 | 9e2bf47bb766639faa8cb8e2237eee60b250868703fb1a53f5642ab5755126cc |
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MD5 | c9f8681e58aed30ceb49526858db4ad3 |
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BLAKE2b-256 | 71958ca66b3669688d3785d61b9ce1779db86dfb9558154629a9d7d0609d5f19 |