README

This is a README for libcomplex.py and libmatcplx.py, a complex libraries functions for python.

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Installation

Download the folder "cnyt" from this repository with

git clone https://github.com/christiantorres29/cnyt.git

You will get a folrder with libcomplex.py & libmatcplx.py, just copy-paste the file to your working directory and import it with

from libcomplex import *
from libmatcplx import *

Usage

For libcomplex.py, a complex number a+bj is denoted as a tuple (a,b).

This complex library contents the following functions

• cplxsum()
• cplxsus()
• cplxprod()
• cplxdiv()
• module()
• phase()
• conj()
• rec2pol()
• pol2rec()
• pcarprint()
• ppolprint()

For libmatcplx.py arrays are defined like [a, b, c...] and matrices as array of arrays, like this [[a, b, c], [d, e, f], ...]. In both cases a, b, c, d ... elements are complex numbers in form a+bj .

The library contents the following functions

Vector functions

• vsum()
• vinv()
• vscp()
• vtrans()
• vconj()
• vdagger()
• vinp()
• vnorm()
• vdist()
• vtprod()

Matrix functions

• msum()
• minv()
• mscp()
• mtrans()
• mconj()
• mdagger()
• mprod()
• actmov()
• unitm()
• hertm()
• mtprod()

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cplxX()

All these functions receive two parameters, two complex numbers as tuples, and returns one tuple. Resolves correspondingly to addition, sustraction, multiplication and divition of 2 complex numbers.

cplxsum((a,b),(c,d))

cplxsus((a,b),(c,d))

cplxprod((a,b),(c,d))

cplxdiv((a,b),(c,d))

Other operations

Magnitude module() of a complex number.

Phase phase() in radians of a complex number, this function takes values from cero to 2 π (6.283185307179586).

Conjugate conj() of a complex number

whole functions returns a float.

module((a,b))

phase((a,b))

conj((a,b))

Coordinates conversion

Convert a tuple in cartesian coordinates to polar coordinates or visceversa.

rec2pol((a,b))

pol2rec((a,b))

Pretty printing

Pretty cartesian print and pretty polar print.

The pcarprint() print in a+bj format.

The ppolprint() print in r∠θ format, where θ are expressed in terms of π

pcarprint((a,b))

ppolprint((a,b))

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Vector functions

Whole vector functions receive one, or two vectors, but the functions cannot recognize between column or row vectors.

Legend: u and v are arrays, and c is a scalar

vsum(u,v) ## add of v and u
vinv(u) ## aditive inverse of u
vscp(c,u) ## scalar product of c and v
vtrans(v) ## transpose(do nothing)
vconj(u) ## conjugate of u
vdagger(u) ## adjoint of u
vinnp(u,v) ## inner product between u and v
vnorm(u) ## norm of u
vdist(u,v) ## distance between u and v
vtproduct(u,v) ## tensor product between u and v

Matrix functions

Whole matrix functions receive one, or two arrays.

Legend: u and v are matrices, and c is a scalar

msum(u,v) ## add of v and u
minv(u) ## aditive inverse of u
mscp(c,u) ## scalar product of c and v
mtrans(v) ## transpose of v
mconj(u) ## conjugate of u
mdagger(u) ## adjoint of u
mprod(u,v) ## matricial product between u and v
actmov(u,v) ## action of u on vector v
unitm(u) ## determines if u is an unitary matrix (1 yes, 0 not)
hertm(u,v) ## determines if u is an hermitian matrix (1 yes, 0 not)
mtprod(u,v) ## tensor product between u and v

Author

• Christian Torres - nothing to say - christiantorres29

License

This project is not licensed, trust me I'm a dolphin, not a virus