Numeric Calculus python module in the topic of Algebra Functions
Project description
Otter - Numeric Calculus
This python package is made for applied Numeric Calculus of Algebra Functions. It is made with the following objectives in mind:
-
Receive one variable function from user input
-
Receive two variable function from user input
-
Performe derivatives with one variable functions
-
Performe integral with received functions
-
Use methods to proccess the matrices.
-
Find root of functions throw method of bissection and method of newton
-
Solve Diferential Equations throw method of euler and runge
-
Performe Minimus Interpolation and Polinomial Interpolation
Syntax
To initialize a Otter instance linked to functions use the following syntax otr = Otter.algebra(f)
, where otr
will be a arbitrary name for the instance and f
is a function of one variable.
To initialize a Otter instance linked to data and interpolation use the following syntax otr = Otter.interpolation(data)
, where otr
will be a arbitrary name for the instance and data will be a numpy matrix where the first columns has to contain the values for x
and the second column contains the values for y
.
Algebra
Algebra is a Python Class where some of the features described previously are defined as Classes as well, like: Integral
, Roots
, EDO
(diferential equations).
Integral
To call the class Integral append the sufix with lower case in front of the instance like: otr.integral
. The Integral class has two other class defined inside, Simple
and Double
, to call them append the sufix with lower case in front as otr.integral.simple
or otr.integral.double
. Then pick between Riemann's Method or Simpson's Method by appending the sufix riemann
or simpson
as well.
After that the syntax will be something like otr.integral.double.riemann(a,b,c,d,n,m)
, where a
and c
will be the first value of the interval of integration respectively in x and y, b
and d
will be the last, n
and m
will be the number of partitions.
The syntax for one variable integrations will be otr.integral.simple.riemann(a,b,n)
.
If n
is not defined the standart value in 10^6 partitions for one variable and 10^4 for double. And if m
is not defined the standart value will be equal to n
.
Roots
To call the class Root append the sufix with lower case in front of the instance like: otr.roots
. The Roots class has three methods defined inside, bissec
, newton
and bissec_newton
, to call them append the sufix with lower case in front as otr.roots.bissec
or otr.roots.newton
or even otr.roots.bissecnewton
.
The syntax for the bissection method and bissec_newton is equal to otr.roots.bissec(a,b,e)
and otr.roots.bissec_newton(a,b,e)
, where a
is the first element of the interval containing the root and b
is the last, e
being the precision.
The syntax for the newton method is equal to otr.roots.newton(a,e)
, where a
is the element closest to the root and e
is the precision.
If e
is not defined the standart value is 10^(-6).
Diferential Equations
To call the class EDO (Equações Diferenciais Ordinárias) append the sufix with lower case in front of the instance like: otr.edo
. The EDO class has two methods defined inside: euler
and runge
, to call them append the sufix with lower case in front as otr.edo.euler
or otr.edo.runge
.
The syntax for the diferential equations method is equal to otr.edo.euler(a,y,b,n)
or otr.edo.runge(a,y,b,n)
, where a
and y
will be the inintial point and b
is the value in x which you want to know the corresponding value in y and n
is the number of operations.
If n
is not defined the standart value is 10^7.
Interpolation
The python class Interpolation is divided in one method, minimus interpolation, and one class, polinomial interpolation.
To call the method minimus use a syntax like otr = Otter.interpolation(data)
, where data
is a data frame containing values for x and y, otr
is an instance and append the method in front of the instance like: otr.minimus(x)
, where x is value of f(x) you want to estimate.
To call the class Polinomial append the sufix with lower case in front of the instance like: otr.polinomial
. The Polinomial class has four methods defined inside: vandermonde
, lagrange
, newton
and gregory
, to call them append the sufix with lower case in front like otr.edo.gregory(x)
where x is value of f(x) you want to estimate.
Installation
To install the package from source cd
into the directory and run:
pip install .
or run
pip install yoshi-otter
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
Built Distribution
Hashes for yoshi_otter-1.3.1-py3-none-any.whl
Algorithm | Hash digest | |
---|---|---|
SHA256 | 9dfc8859f409c21ef0cf0a851ae223febb66ca9d30a877be55f5f239fced69eb |
|
MD5 | e4ca7f2139eb1cfaff1158fd71311241 |
|
BLAKE2b-256 | 6aad5fdc1eaa14110c901818b3b3f4d659954ca37687bd78bcef9341258be5c9 |