Implements Tests for Interpolation
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11
.vscode/settings.json
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.vscode/settings.json
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{
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"python.testing.unittestArgs": [
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"-v",
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"-s",
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"./tests",
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"-p",
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"test_*.py"
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],
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"python.testing.pytestEnabled": false,
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"python.testing.unittestEnabled": true
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}
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4
Pipfile.lock
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Pipfile.lock
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@@ -108,10 +108,10 @@
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},
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},
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"yoshi-seals": {
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"yoshi-seals": {
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"hashes": [
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"hashes": [
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"sha256:448de57bfee12999ecd56e456e8a13f312396030b9872a2b5c9eac729e07e097"
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"sha256:85e1697b289a135191362a3885db01bc568e0ca341da0eddeac69dabc86e35d8"
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],
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],
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"index": "pypi",
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"index": "pypi",
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"version": "==2.0.3645235495"
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"version": "==2.0.3654593985"
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}
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}
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},
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},
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"develop": {
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"develop": {
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20
setup.py
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setup.py
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import setuptools
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import setuptools
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import os
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with open("yoshi-otter1.3.3/README.md", "r") as fh:
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long_description = fh.read()
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__name = "yoshi-otter"
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__version_sufix = os.environ.get('VERSION_SUFIX')
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if not __version_sufix:
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__version_sufix = "dev"
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__version = f"2.0.{__version_sufix}"
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with open("README.md", "r") as fh:
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__long_description = fh.read()
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setuptools.setup(
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setuptools.setup(
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name="yoshi-otter", # Replace with your own username
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name=__name,
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version="1.3.3",
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version=__version,
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author="Vitor Hideyoshi",
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author="Vitor Hideyoshi",
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author_email="vitor.h.n.batista@gmail.com",
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author_email="vitor.h.n.batista@gmail.com",
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description="Numeric Calculus python module in the topic of Algebra Functions",
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description="Numeric Calculus python module in the topic of Algebra Functions",
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long_description=long_description,
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long_description=__long_description,
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long_description_content_type="text/markdown",
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long_description_content_type="text/markdown",
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url="https://github.com/HideyoshiNakazone/Otter-NumericCalculus.git",
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url="https://github.com/HideyoshiNakazone/Otter-NumericCalculus.git",
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packages=setuptools.find_packages(),
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packages=setuptools.find_packages(),
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@@ -12,18 +12,11 @@ class TestInterpolation(unittest.TestCase):
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def f(x):
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def f(x):
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return 2 * x
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return 2 * x
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def g(x):
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X = np.linspace(0, 10, num=100)
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return x + x**2
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X = np.linspace(0, 1000, num=1000)
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Y = [f(x) for x in X]
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Y = [f(x) for x in X]
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self.data = pd.DataFrame(data={'X': X, 'Y': Y})
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self.data = pd.DataFrame(data={'X': X, 'Y': Y})
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Y = [g(x) for x in X]
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self.data_pol = pd.DataFrame(data={'X': X, 'Y': Y})
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def test_class_instantiation(self):
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def test_class_instantiation(self):
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interpolation = Interpolation(self.data)
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interpolation = Interpolation(self.data)
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self.assertIsInstance(interpolation, Interpolation)
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self.assertIsInstance(interpolation, Interpolation)
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@@ -34,33 +27,32 @@ class TestInterpolation(unittest.TestCase):
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self.assertEqual(func(1), 2)
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self.assertEqual(func(1), 2)
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@unittest.skip("Temporally not working")
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def test_polynomial_vandermonde(self):
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def test_polynomial_vandermonde(self):
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interpolation = Interpolation(self.data_pol)
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interpolation = Interpolation(self.data)
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func = interpolation.polynomial.vandermonde()
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func = interpolation.polynomial.vandermonde()
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self.assertEqual(func(1), 2)
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self.assertAlmostEqual(func(1), 2)
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@unittest.skip("Temporally not working")
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@unittest.skip("Temporally not working")
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def test_polynomial_lagrange(self):
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def test_polynomial_lagrange(self):
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interpolation = Interpolation(self.data_pol)
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interpolation = Interpolation(self.data)
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result = interpolation.polynomial.lagrange(1)
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result = interpolation.polynomial.lagrange(1)
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self.assertEqual(result, 2)
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self.assertAlmostEqual(result, 2)
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@unittest.skip("Temporally not working")
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# @unittest.skip("Temporally not working")
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def test_polynomial_newton(self):
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def test_polynomial_newton(self):
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interpolation = Interpolation(self.data_pol)
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interpolation = Interpolation(self.data)
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result = interpolation.polynomial.newton(1)
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result = interpolation.polynomial.newton(1)
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self.assertEqual(result, 2)
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self.assertAlmostEqual(result, 2)
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@unittest.skip("Temporally not working")
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@unittest.skip("Temporally not working")
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def test_polynomial_gregory(self):
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def test_polynomial_gregory(self):
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interpolation = Interpolation(self.data_pol)
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interpolation = Interpolation(self.data)
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result = interpolation.polynomial.gregory(1)
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result = interpolation.polynomial.gregory(1)
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self.assertEqual(result, 2)
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self.assertAlmostEqual(result, 2)
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if __name__ == '__main__':
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if __name__ == '__main__':
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Binary file not shown.
@@ -1,7 +1,5 @@
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from typing import Callable, Any
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from yoshi_seals import process as sl
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from yoshi_seals import process as sl
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from typing import Callable, Any
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import numpy as np
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import numpy as np
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@@ -13,7 +11,7 @@ class Interpolation:
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def __init__(self, data) -> None:
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def __init__(self, data) -> None:
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self.data = data
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self.data = data
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self.polynomial = self.Polynomial(self.data)
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self.polynomial = self.__Polynomial(self.data)
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def minimums(self) -> Callable[[Any], float]:
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def minimums(self) -> Callable[[Any], float]:
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@@ -60,7 +58,7 @@ class Interpolation:
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return lambda x: a * x + b, r2
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return lambda x: a * x + b, r2
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class Polynomial:
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class __Polynomial:
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def __init__(self, data) -> None:
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def __init__(self, data) -> None:
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self.data = data
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self.data = data
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@@ -69,22 +67,20 @@ class Interpolation:
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matrix = np.zeros((self.data.shape[0], self.data.shape[0]))
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matrix = np.zeros((self.data.shape[0], self.data.shape[0]))
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for k in range(0, self.data.shape[0]):
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for k in range(self.data.shape[0]):
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matrix[:, k] = self.data.X[:] ** k
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matrix[:, k] = self.data.X[:].copy() ** k
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array = np.array(self.data.Y.tolist()).reshape(self.data.shape[0], 1)
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array = np.array(self.data.Y.tolist()).reshape(self.data.shape[0], 1)
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A = sl.gauss(matrix, array)
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coefficient_matrix = sl.gauss(matrix, array)[:]
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def f(coefficient_matrix, x):
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def __f(coefficients, x):
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y = 0
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y = 0
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for i in range(0, coefficients.shape[0]):
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for i in range(0, A.shape[0]):
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y += float(coefficients[i]) * (x ** i)
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y += coefficient_matrix[1][i] * (x ** i)
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return y
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return y
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return lambda x: f(A, x)
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return lambda x: __f(coefficient_matrix, x)
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def lagrange(self, x: float) -> float:
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def lagrange(self, x: float) -> float:
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@@ -155,24 +151,23 @@ class Interpolation:
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d[0] = self.data.Y
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d[0] = self.data.Y
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i = j = 0
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i = 0
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while i < self.data.shape[0]:
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while i < self.data.shape[0]:
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j = 0
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while j < (self.data.shape[0] - (i + 1)):
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while j < (self.data.shape[0] - (i + 1)):
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d[i + 1][j] = (d[i][j + 1] - d[i][j]) / ((i + 1) * h)
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d[i + 1][j] = (d[i][j + 1] - d[i][j]) / ((i + 1) * h)
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j += 1
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j += 1
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i += 1
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i += 1
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j = 0
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y = d[0][0]
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y = d[0][0]
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i = 0
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i = 0
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while (i + 1) < self.data.shape[0]:
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while (i + 1) < self.data.shape[0]:
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mult = 1
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mult = 1
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k = 0
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k = 0
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while k <= i:
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while k <= i:
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mult = mult * (x - self.data.X[k])
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mult = mult * (x - self.data.X[k])
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k += 1
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k += 1
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@@ -180,4 +175,4 @@ class Interpolation:
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y += d[i + 1][0] * mult
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y += d[i + 1][0] * mult
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i += 1
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i += 1
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return y
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return -y
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