DHBW/Python-Math-Algorithms
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Python-Math-Algorithms
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finished newton polynom

This commit is contained in:
Sven Vogel 2023-04-25 16:27:32 +02:00
parent 7310527c78
commit 201931050a
7 changed files with 58 additions and 13 deletions
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.idea/.gitignore vendored Normal file
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# Default ignored files
/shelf/
/workspace.xml
# Editor-based HTTP Client requests
/httpRequests/
# Datasource local storage ignored files
/dataSources/
/dataSources.local.xml

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<?xml version="1.0" encoding="UTF-8"?>
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<orderEntry type="jdk" jdkName="Python 3.11" jdkType="Python SDK" />
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</module>

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<?xml version="1.0" encoding="UTF-8"?>
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31
newton_polynom/__init__.py
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# Licensed under the GPLv2 License, Version 2.0 (the "License"); # Licensed under the GPLv2 License, Version 2.0 (the "License");
# Copyright (c) Sven Vogel # Copyright (c) Sven Vogel
def combine(p0, p1): def combine_n(points):
return (p1[1] - p1[0]) / (p0[1] - p0[0]) k = len(points)
def combine_n(*points):
k = len(points) - 1
if k == 1: if k == 1:
return combine(points[0], points[1]) return points[0][1]
elif k == 2:
return (points[1][1] - points[0][1]) / (points[1][0] - points[0][0])
else: else:
return (combine_n(points[1:k]) - combine_n(points[0:(k - 1)])) / (points[k][0] - points[0][0]) return (combine_n(points[1:k]) - combine_n(points[0:(k - 1)])) / (points[k - 1][0] - points[0][0])
def newton_polynom(*points): # returns a polynom that will intersect all supplied points as long as
for x in range(len(points)): # the number of points is bigger than 1
def newton_polynom(points):
for x in range(1, len(points)):
print(combine_n(points[0:x])) if x == 1:
print(points[0][1], end=' + ')
else:
print(end=' + ')
print(combine_n(points[0:(x + 1)]), end='')
for y in range(x): for y in range(x):
print(format(" * (x - %s)", points[y][0])) print(" * (x - {value:.2f})".format(value=points[y][0]), end='')
def test(): def test():
newton_polynom([1, 2], [3, 4], [9, -5]) newton_polynom([[-1, 5], [2, -1], [3, -1], [4, 5], [8, 9]])