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Vitor Hideyoshi
2020-05-17 14:49:37 -03:00
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@@ -275,65 +275,4 @@ OUT OF THE USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED
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from .Otter import Algebra as algebra
from .Otter import Interpolation as interpolation

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setuptools.setup(
name="yoshi-otter", # Replace with your own username
version="1.1",
version="1.2",
author="Vitor Hideyoshi",
author_email="vitor.h.n.batista@gmail.com",
description="Numeric Calculus python module in the topic of Algebra Functions",

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# Otter - Program made for educational intent, can be freely distributed
# and can be used for economical intent. I will not take legal actions
# unless my intelectual propperty, the code, is stolen or change without permission.
#
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
#
# This program is free software; you can redistribute it and/or modify
# it under the terms of the GNU General Public License version 2 as published by
# the Free Software Foundation.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License along
# with this program; if not, write to the Free Software Foundation, Inc.,
# 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
import math
import numpy as np
import Seals

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# Otter - Program made for educational intent, can be freely distributed
# and can be used for economical intent. I will not take legal actions
# unless my intelectual propperty, the code, is stolen or change without permission.
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
# This program is free software; you can redistribute it and/or modify
# it under the terms of the GNU General Public License version 2 as published by
# the Free Software Foundation.
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
# You should have received a copy of the GNU General Public License along
# with this program; if not, write to the Free Software Foundation, Inc.,
# 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
from .Otter import Algebra as algebra
from .Otter import Interpolation as interpolation

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# 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* (*E*quações *D*iferenciais *O*rdinárias) 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 `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`

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import setuptools
with open("README.md", "r") as fh:
long_description = fh.read()
setuptools.setup(
name="yoshi-otter", # Replace with your own username
version="1.2",
author="Vitor Hideyoshi",
author_email="vitor.h.n.batista@gmail.com",
description="Numeric Calculus python module in the topic of Algebra Functions",
long_description=long_description,
long_description_content_type="text/markdown",
url="https://github.com/HideyoshiNakazone/Otter-NumericCalculus.git",
packages=setuptools.find_packages(),
classifiers=[
"Programming Language :: Python :: 3",
"License :: OSI Approved :: GNU General Public License v2 (GPLv2)",
"Operating System :: OS Independent",
"Development Status :: 2 - Pre-Alpha",
],
python_requires='>=3.6',
install_requires=[
'numpy',
'pandas',
'yoshi-seals'
],
)

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