Skip to main content

This package contains implementation of the library "MPComplex". MPComplex is a data type supporting complex numbers which allow comparison and sorting operations.

Project description

MPComplex

MPComplex is a data type which support complex numbers which allow comparison and sorting operations. This library extends 'mpc' in 'mpmath' library (https://pypi.org/project/mpmath/) by allowing comparisons and sorting.

MPComplex Operations

The operations supported by MPComplex are addition, subtraction, multiplication, division, power, comparisons, and sorting.

Addition

Input: MPComplex(4, 2) + MPComplex(5, 3) Output: MPComplex(9, 5)

Subtraction

Input: MPComplex(7, 9) - MPComplex(3, 3) Output: MPComplex(4, 6)

Multiplication

Input: MPComplex(5, 4) * MPComplex(4, 6) Output: MPComplex(-4, 46)

Division

Input: MPComplex(5, 4) / MPComplex(4, 6) Output: MPComplex(0.846153846153846, -0.269230769230769)

Integer Division

Input: MPComplex(5, 4) // MPComplex(4, 6) Output: MPComplex(0, 0)

Power

Input: MPComplex(4, 2) ** 5 Output: MPComplex(-1216, 1312)

Comparisons in General

MPComplex objects are compared to each other in the following order:

  1. real part value
  2. imaginary part value

For example, to check whether MPComplex object a is greater than MPComplex object b or not, the program does the following steps:

  1. Checks if the real part of a is greater than the real part of b or not. If yes, 'True' is returned.
  2. If the real part of a is equal to the real part of b, go to step 3. Else, go to step 4.
  3. Return true if the imaginary part of a is greater than the imaginary part of b. Else, return 'False'.
  4. Return 'False' immediately.

The similar process applies to the operations 'less than', 'less than or equal to', and 'greater than or equal to' as well.

For checking equality of two complex numbers, equality applies if the real and imaginary parts of both numbers are equal.

Greater Than

Input: MPComplex(5, 4) > MPComplex(4, 6) Output: True

Greater Than or Equal To

Input: MPComplex(5, 4) >= MPComplex(4, 6) Output: True

Less Than

Input: MPComplex(5, 4) < MPComplex(4, 6) Output: False

Less Than or Equal To

Input: MPComplex(5, 4) <= MPComplex(4, 6) Output: False

Equal To

Input: MPComplex(4, 2) == MPComplex(4, 1) Output: False

Not Equal To

Input: MPComplex(4, 2) != MPComplex(4, 1) Output: True

Sorting

If a list of MPComplex objects is called with sort() method, the list will be sorted in ascending order.

Input: [MPComplex(4, 2), MPComplex(4, 1), MPComplex(5, 3), MPComplex(2, 7)].sort() Output: [MPComplex(2, 7), MPComplex(4, 1), MPComplex(4, 2), MPComplex(5, 3)]

Project details


Download files

Download the file for your platform. If you're not sure which to choose, learn more about installing packages.

Source Distribution

MPComplex-1.1.tar.gz (4.2 kB view details)

Uploaded Source

Built Distribution

MPComplex-1.1-py2-none-any.whl (5.8 kB view details)

Uploaded Python 2

File details

Details for the file MPComplex-1.1.tar.gz.

File metadata

  • Download URL: MPComplex-1.1.tar.gz
  • Upload date:
  • Size: 4.2 kB
  • Tags: Source
  • Uploaded using Trusted Publishing? No
  • Uploaded via: twine/3.7.1 importlib_metadata/4.10.0 pkginfo/1.8.2 requests/2.27.1 requests-toolbelt/0.9.1 tqdm/4.62.3 CPython/3.9.4

File hashes

Hashes for MPComplex-1.1.tar.gz
Algorithm Hash digest
SHA256 2ce536d63ae1203ddcd54874a9ec360899b0c11dbb5352a063cbac15f2e893b4
MD5 42da82ba1903a9841d77aaa53ccff428
BLAKE2b-256 ab034d810eb5b8c4473b3c19e97a2b8f807aa46dd0153d5832bcb8c147d5e30e

See more details on using hashes here.

Provenance

File details

Details for the file MPComplex-1.1-py2-none-any.whl.

File metadata

  • Download URL: MPComplex-1.1-py2-none-any.whl
  • Upload date:
  • Size: 5.8 kB
  • Tags: Python 2
  • Uploaded using Trusted Publishing? No
  • Uploaded via: twine/3.7.1 importlib_metadata/4.10.0 pkginfo/1.8.2 requests/2.27.1 requests-toolbelt/0.9.1 tqdm/4.62.3 CPython/3.9.4

File hashes

Hashes for MPComplex-1.1-py2-none-any.whl
Algorithm Hash digest
SHA256 d17d7da2af0b2f3947c2c1c7d920e6d638f71ea1a36f7caa8c83b485e7c1e7e3
MD5 8efd3daf153fea9c359d9f5d3fe20fd6
BLAKE2b-256 e6182fe93f795a386d749830d174cabce317df08dbfc762320c07e536916964b

See more details on using hashes here.

Provenance

Supported by

AWS AWS Cloud computing and Security Sponsor Datadog Datadog Monitoring Fastly Fastly CDN Google Google Download Analytics Microsoft Microsoft PSF Sponsor Pingdom Pingdom Monitoring Sentry Sentry Error logging StatusPage StatusPage Status page