__Aditya 4394fd93d3 Weierstrass Method (#12877) ...

* Add weierstrass_method for approximating complex roots

- Implements Durand-Kerner (Weierstrass) method for polynomial root finding
- Accepts user-defined polynomial function and degree
- Uses random perturbation of complex roots of unity for initial guesses
- Handles validation, overflow clipping, and includes doctest

* Update weierstrass_method.py
* add more tests

* [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

* Update weierstrass_method.py

* Update weierstrass_method.py

---------

Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>

2025-08-29 17:33:43 +01:00

..

images

Add __init__.py files in all the directories (#2503)

2020-09-28 19:42:36 +02:00

numerical_analysis

Weierstrass Method (#12877)

2025-08-29 17:33:43 +01:00

polynomials

Fix ruff errors (#8936)

2023-08-09 13:25:30 +05:30

series

[pre-commit.ci] pre-commit autoupdate (#11322)

2024-03-13 07:52:41 +01:00

special_numbers

Improve test coverage for armstrong numbers (#12327)

2024-12-28 01:52:40 +03:00

__init__.py

pyupgrade --py37-plus **/*.py (#1654)

2020-01-03 22:25:36 +08:00

abs.py

Make some ruff fixes (#8154)

2023-03-01 17:23:33 +01:00

addition_without_arithmetic.py

addition_without_arithmetic (#6830)

2022-10-30 13:52:37 +01:00

aliquot_sum.py

Optimization and fix bug (#2342)

2020-08-21 14:39:03 +08:00

allocation_number.py

[pre-commit.ci] pre-commit autoupdate (#11322)

2024-03-13 07:52:41 +01:00

arc_length.py

Update arc_length.py (#8964)

2023-08-20 16:39:29 -07:00

area_under_curve.py

[pre-commit.ci] pre-commit autoupdate (#11322)

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area.py

[pre-commit.ci] pre-commit autoupdate (#11322)

2024-03-13 07:52:41 +01:00

average_absolute_deviation.py

Added average absolute deviation (#5951)

2022-02-13 18:20:19 +01:00

average_mean.py

Pyupgrade to Python 3.9 (#4718)

2021-09-07 13:37:03 +02:00

average_median.py

Fix minor typing errors in maths/ (#8959)

2023-08-15 14:27:41 -07:00

average_mode.py

[mypy] Fix type annotations for maths directory (#5782)

2021-11-07 16:13:58 +01:00

bailey_borwein_plouffe.py

Add flake8-builtins to pre-commit and fix errors (#7105)

2022-10-13 19:53:59 +05:30

base_neg2_conversion.py

convert to the base minus 2 of a number (#9748)

2023-10-05 14:39:14 +02:00

basic_maths.py

[pre-commit.ci] pre-commit autoupdate (#11322)

2024-03-13 07:52:41 +01:00

binary_exponentiation.py

Consolidate binary exponentiation files (#10742)

2023-10-21 13:27:36 -04:00

binary_multiplication.py

Changing Name of file and adding doctests in file. (#9513)

2023-10-03 11:40:11 -04:00

binomial_coefficient.py

Tried new TESTS for the binomial_coefficient (#10822)

2023-10-24 15:46:00 +02:00

binomial_distribution.py

[pre-commit.ci] pre-commit autoupdate (#11322)

2024-03-13 07:52:41 +01:00

ceil.py

Add typing to maths/ceil.py (#7057)

2022-10-12 20:41:52 +02:00

chebyshev_distance.py

Added the Chebyshev distance function (#10144)

2023-10-09 17:21:46 -04:00

check_polygon.py

[mypy] check polygon and corrections (#5419)

2021-10-21 21:13:42 +08:00

chinese_remainder_theorem.py

[pre-commit.ci] pre-commit autoupdate (#11322)

2024-03-13 07:52:41 +01:00

chudnovsky_algorithm.py

Enable ruff RUF002 rule (#11377)

2024-04-22 21:51:47 +02:00

collatz_sequence.py

[pre-commit.ci] pre-commit autoupdate (#12398)

2024-11-25 21:46:20 +01:00

combinations.py

In place of calculating the factorial several times we can run a loop k times to calculate the combination (#10051)

2023-10-08 15:17:02 -04:00

continued_fraction.py

[pre-commit.ci] pre-commit autoupdate (#11322)

2024-03-13 07:52:41 +01:00

decimal_isolate.py

pre-commit: Upgrade psf/black for stable style 2023 (#8110)

2023-02-01 18:44:54 +05:30

decimal_to_fraction.py

Improve decimal_to_fraction.py (#12611)

2025-03-09 00:52:20 +03:00

dodecahedron.py

Dodecahedron surface area and volume (#6606)

2022-10-31 18:15:37 +01:00

double_factorial.py

merge double_factorial (#9431)

2023-10-03 09:53:27 -04:00

dual_number_automatic_differentiation.py

[pre-commit.ci] pre-commit autoupdate -- ruff 2025 stable format (#12521)

2025-01-13 21:52:12 +01:00

entropy.py

Enable ruff RUF002 rule (#11377)

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euclidean_distance.py

Upgrade to Python 3.13 (#11588)

2024-09-30 23:01:15 +02:00

euler_method.py

Upgrade to Python 3.13 (#11588)

2024-09-30 23:01:15 +02:00

euler_modified.py

Upgrade to Python 3.13 (#11588)

2024-09-30 23:01:15 +02:00

eulers_totient.py

[pre-commit.ci] pre-commit autoupdate (#9013)

2023-08-29 15:18:10 +02:00

extended_euclidean_algorithm.py

Misc fixes across multiple algorithms (#6912)

2022-10-16 10:55:38 +05:30

factorial.py

seperation between description and docstrings (#9687)

2023-10-10 01:13:32 -04:00

factors.py

Reduced Time Complexity to O(sqrt(n)) (#7429)

2022-10-23 17:56:40 +05:30

fast_inverse_sqrt.py

Added Fast Inverse Square Root (#11054)

2023-10-29 21:57:37 +01:00

fermat_little_theorem.py

Fermat_little_theorem type annotation (#9794)

2023-10-05 07:30:39 -04:00

fibonacci.py

feat: Implemented Matrix Exponentiation Method (#11747)

2024-10-04 09:29:39 -07:00

find_max.py

Fix ruff (#11527)

2024-08-25 17:33:11 +02:00

find_min.py

Consolidate find_min and find_min recursive and find_max and find_max_recursive (#8960)

2023-08-14 04:17:27 -07:00

floor.py

Add typing to maths/floor.py (#7056)

2022-10-12 20:42:30 +02:00

gamma.py

[pre-commit.ci] pre-commit autoupdate (#11322)

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gaussian.py

Upgrade to Python 3.13 (#11588)

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gcd_of_n_numbers.py

gcd_of_n_numbers (#8057)

2023-01-10 23:47:02 +01:00

geometric_mean.py

[ADDED] Implementation of Geometric Mean. (#10421)

2024-12-30 18:16:32 -08:00

germain_primes.py

Added Germain primes algorithm to the maths folder (#10120)

2023-10-08 17:33:50 -04:00

greatest_common_divisor.py

math/greatest_common_divisor: add support for negative numbers (#2628)

2020-10-29 12:47:26 +05:30

hardy_ramanujanalgo.py

hardy_ramanujanalgo type annotation (#9799)

2023-10-05 08:39:29 -04:00

integer_square_root.py

Add Integer Square Root Algorithm (#10949)

2023-10-29 11:58:28 +01:00

interquartile_range.py

[pre-commit.ci] pre-commit autoupdate (#11322)

2024-03-13 07:52:41 +01:00

is_int_palindrome.py

Rename is_palindrome.py to is_int_palindrome.py (#8768)

2023-05-26 12:20:33 +05:30

is_ip_v4_address_valid.py

fix is_ip_v4_address_valid.py (#12394)

2024-12-30 13:22:20 +03:00

is_square_free.py

[pre-commit.ci] pre-commit autoupdate (#11322)

2024-03-13 07:52:41 +01:00

jaccard_similarity.py

Fix minor typing errors in maths/ (#8959)

2023-08-15 14:27:41 -07:00

joint_probability_distribution.py

[ADD] : maths joint probabilty distribution (#10508)

2023-10-15 17:03:03 +02:00

josephus_problem.py

Add Josephus Problem (#10928)

2023-10-29 17:42:41 +01:00

juggler_sequence.py

Add more ruff rules (#8767)

2023-05-26 09:34:17 +02:00

karatsuba.py

[pre-commit.ci] pre-commit autoupdate (#11322)

2024-03-13 07:52:41 +01:00

kth_lexicographic_permutation.py

Add pep8-naming to pre-commit hooks and fixes incorrect naming conventions (#7062)

2022-10-13 00:54:20 +02:00

largest_of_very_large_numbers.py

Enable ruff PLR5501 rule (#11332)

2024-03-28 18:25:41 +01:00

least_common_multiple.py

Ruff pandas vet (#10281)

2023-10-11 14:30:02 -04:00

line_length.py

Fix ruff errors (#8936)

2023-08-09 13:25:30 +05:30

liouville_lambda.py

Add more ruff rules (#8767)

2023-05-26 09:34:17 +02:00

lucas_lehmer_primality_test.py

Enable ruff RUF002 rule (#11377)

2024-04-22 21:51:47 +02:00

lucas_series.py

Add flake8 pluin flake8 bugbear to pre-commit (#7132)

2022-10-13 18:03:06 +02:00

maclaurin_series.py

[pre-commit.ci] pre-commit autoupdate (#11322)

2024-03-13 07:52:41 +01:00

manhattan_distance.py

Add more ruff rules (#8767)

2023-05-26 09:34:17 +02:00

matrix_exponentiation.py

Improve test coverage for matrix exponentiation (#12388)

2024-12-28 01:40:35 +03:00

max_sum_sliding_window.py

[pre-commit.ci] pre-commit autoupdate -- ruff 2025 stable format (#12521)

2025-01-13 21:52:12 +01:00

minkowski_distance.py

Upgrade to Python 3.13 (#11588)

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mobius_function.py

Replace flake8 with ruff (#8184)

2023-03-16 13:31:29 +01:00

modular_division.py

Enable ruff RUF002 rule (#11377)

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modular_exponential.py

[pre-commit.ci] pre-commit autoupdate (#11322)

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monte_carlo_dice.py

Raise error not string (#7945)

2022-11-06 15:54:44 +01:00

monte_carlo.py

[pre-commit.ci] pre-commit autoupdate (#11322)

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number_of_digits.py

TypeError for non-integer input (#9250)

2023-10-10 00:19:40 -04:00

odd_sieve.py

Enable ruff RUF005 rule (#11344)

2024-04-02 21:18:47 +02:00

perfect_cube.py

Add perfect cube binary search (#10477)

2023-10-23 01:56:59 -04:00

perfect_number.py

Add additional doctests, fix grammatical errors for maths/perfect_number.py (#12477)

2024-12-28 00:51:28 -08:00

perfect_square.py

The black formatter is no longer beta (#5960)

2022-01-30 20:29:54 +01:00

persistence.py

[pre-commit.ci] pre-commit autoupdate (#9013)

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pi_generator.py

Enable ruff E741 rule (#11370)

2024-04-19 21:30:22 +02:00

pi_monte_carlo_estimation.py

Add flake8 pluin flake8 bugbear to pre-commit (#7132)

2022-10-13 18:03:06 +02:00

points_are_collinear_3d.py

chore: fix typos (#11467)

2024-06-17 06:27:07 -07:00

pollard_rho.py

Enable ruff PLR5501 rule (#11332)

2024-03-28 18:25:41 +01:00

polynomial_evaluation.py

Remove useless code in doctests (#7733)

2022-10-27 22:52:00 +02:00

power_using_recursion.py

Added doctest to /maths/power_using_recursion.py (#11994)

2024-12-30 13:59:03 +03:00

prime_check.py

[pre-commit.ci] pre-commit autoupdate -- ruff 2025 stable format (#12521)

2025-01-13 21:52:12 +01:00

prime_factors.py

Algorithm to find unique prime factors (#9935)

2025-08-27 23:55:27 +03:00

prime_numbers.py

[pre-commit.ci] pre-commit autoupdate (#12398)

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prime_sieve_eratosthenes.py

Change prime_sieve_eratosthenes.py to return list (#8062)

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primelib.py

[pre-commit.ci] pre-commit autoupdate (#12623)

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print_multiplication_table.py

Add print_multiplication_table.py (#6607)

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pythagoras.py

Replace bandit, flake8, isort, and pyupgrade with ruff (#8178)

2023-03-15 13:58:25 +01:00

qr_decomposition.py

Fix minor typing errors in maths/ (#8959)

2023-08-15 14:27:41 -07:00

quadratic_equations_complex_numbers.py

Change occurrences of str.format to f-strings (#4118)

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radians.py

[pre-commit.ci] pre-commit autoupdate (#9543)

2023-10-07 21:32:28 +02:00

radix2_fft.py

Codex/find and fix a bug (#12782)

2025-08-25 01:16:05 +03:00

remove_digit.py

adding the remove digit algorithm (#6708)

2023-05-11 06:55:48 +12:00

segmented_sieve.py

Segmented sieve - doctests (#9945)

2023-10-07 05:09:39 -04:00

sieve_of_eratosthenes.py

[pre-commit.ci] pre-commit autoupdate (#11322)

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sigmoid.py

Fix minor typing errors in maths/ (#8959)

2023-08-15 14:27:41 -07:00

signum.py

Added New Tests in Signum (#10724)

2023-10-20 13:02:30 +02:00

simultaneous_linear_equation_solver.py

Enable ruff RUF002 rule (#11377)

2024-04-22 21:51:47 +02:00

sin.py

Add sin function to maths (#5949)

2022-05-16 19:28:30 +08:00

sock_merchant.py

sock_merchant.py: Matching socks by color (#5761)

2021-11-03 21:24:50 +01:00

softmax.py

Upgrade to Python 3.13 (#11588)

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solovay_strassen_primality_test.py

[pre-commit.ci] pre-commit autoupdate (#11322)

2024-03-13 07:52:41 +01:00

spearman_rank_correlation_coefficient.py

Create Spearman's rank correlation coefficient (#11155)

2023-11-25 15:20:42 +01:00

sum_of_arithmetic_series.py

Add flake8-builtins to pre-commit and fix errors (#7105)

2022-10-13 19:53:59 +05:30

sum_of_digits.py

maths/sum_of_digits.py: Streamline benchmarks (#7914)

2022-11-01 14:07:11 +01:00

sum_of_geometric_progression.py

The black formatter is no longer beta (#5960)

2022-01-30 20:29:54 +01:00

sum_of_harmonic_series.py

Created sum_of_harmonic_series.py (#7504)

2022-10-23 06:29:10 +02:00

sumset.py

added sumset.py Fixes: #{6563} (#6742)

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sylvester_sequence.py

Add more ruff rules (#8767)

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tanh.py

[pre-commit.ci] pre-commit autoupdate (#11322)

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test_factorial.py

Add unit tests for factorial.py (#12815)

2025-07-05 12:58:45 +02:00

test_prime_check.py

Change to https. (#7277)

2022-10-16 09:43:29 +02:00

three_sum.py

add Three sum (#9177)

2023-10-01 16:46:12 +02:00

trapezoidal_rule.py

chore: improve comments and add tests to trapezoidal rule (#11640)

2024-12-30 17:11:29 -08:00

triplet_sum.py

[pre-commit.ci] pre-commit autoupdate (#11322)

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twin_prime.py

Add more ruff rules (#8767)

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two_pointer.py

[pre-commit.ci] pre-commit autoupdate (#11322)

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two_sum.py

[pre-commit.ci] pre-commit autoupdate (#11322)

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volume.py

Fix sphinx/build_docs warnings for maths/volume (#12464)

2024-12-23 19:14:11 -05:00

zellers_congruence.py

Fix sphinx/build_docs warnings for maths/zellers_congruence (#12481)

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