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Added integration/area under the curve using the Monte Carlo method

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Added integration/area under the curve using Monte Carlo method
@algorithms-keeper algorithms-keeper bot added require descriptive names This PR needs descriptive function and/or variable names require tests Tests [doctest/unittest/pytest] are required require type hints https://docs.python.org/3/library/typing.html labels Oct 15, 2022
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@algorithms-keeper algorithms-keeper bot added the awaiting reviews This PR is ready to be reviewed label Oct 15, 2022
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@algorithms-keeper algorithms-keeper bot added the tests are failing Do not merge until tests pass label Oct 15, 2022
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@algorithms-keeper algorithms-keeper bot added the tests are failing Do not merge until tests pass label Oct 15, 2022
@algorithms-keeper algorithms-keeper bot removed the require descriptive names This PR needs descriptive function and/or variable names label Oct 15, 2022
@algorithms-keeper algorithms-keeper bot removed the tests are failing Do not merge until tests pass label Oct 15, 2022
@SatyakiMandal
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realstealthninja
realstealthninja approved these changes Oct 15, 2022
SatyakiMandal and others added 7 commits October 18, 2022 11:39
Co-authored-by: Caeden Perelli-Harris <caedenperelliharris@gmail.com>
Co-authored-by: Caeden Perelli-Harris <caedenperelliharris@gmail.com>
Co-authored-by: Caeden Perelli-Harris <caedenperelliharris@gmail.com>
Co-authored-by: Caeden Perelli-Harris <caedenperelliharris@gmail.com>
Co-authored-by: Caeden Perelli-Harris <caedenperelliharris@gmail.com>
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@cclauss Can we get a final review from you? Looks good to me

Co-authored-by: Caeden Perelli-Harris <caedenperelliharris@gmail.com>

number_of_sections = 1000 # Number of individual ares to be considered

if type(lower_limit) == str or type(upper_limit) == str or type(number_of_sections) == str:
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PEP8: Use isinstance() rather than directly comparing types.

integral += function_to_be_integrated(i)

# we get the answer by the formula derived adobe
answer = (upper_limit - lower_limit) / float(number_of_sections) * integral

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why is number of sections converted to a float here?

Comment on lines +42 to +48
>>> round(monte_carlo(0, 2*np.pi, 1000))
0
>>> round(monte_carlo(-2*np.pi, 2*np.pi, 1000))
0
>>> round(monte_carlo(-10.2345678, 1.89712, 1000))
0
"""
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You haven't added exceptional cases where the function would raise Value error for garbage input as @cclauss mentioned. Add those invalid cases as well.

Comment on lines +22 to +23
>>> round(function_to_be_integrated(0))
0
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Add some invalid cases here as well.

@cclauss cclauss closed this Oct 30, 2022
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