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TheAlgorithms-Python/maths
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Christian Clauss d23e709aea
maths/sum_of_digits.py: Streamline benchmarks (#7914) 
* maths/sum_of_digits.py: Streamline benchmarks

```
sum_of_digits(262144): 19 -- 0.3128329170285724 seconds
sum_of_digits_recursion(262144): 19 -- 0.34008108399575576 seconds
sum_of_digits_compact(262144): 19 -- 0.6086010000435635 seconds

sum_of_digits(1125899906842624): 76 -- 0.8079068749793805 seconds
sum_of_digits_recursion(1125899906842624): 76 -- 0.8435653329943307 seconds
sum_of_digits_compact(1125899906842624): 76 -- 1.247976207989268 seconds

sum_of_digits(1267650600228229401496703205376): 115 -- 1.6441589999594726 seconds
sum_of_digits_recursion(1267650600228229401496703205376): 115 -- 1.713684624992311 seconds
sum_of_digits_compact(1267650600228229401496703205376): 115 -- 2.2197747920290567 seconds
```

* updating DIRECTORY.md

* Update sum_of_digits.py

* Update sum_of_digits.py

Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
2022-11-01 14:07:11 +01:00
..
images
Add __init__.py files in all the directories (#2503)
2020-09-28 19:42:36 +02:00
polynomials
Polynomial (#6745)
2022-10-30 11:52:50 +01:00
series
[mypy] Fix type annotations for maths directory (#5782)
2021-11-07 16:13:58 +01:00
__init__.py
pyupgrade --py37-plus **/*.py (#1654)
2020-01-03 22:25:36 +08:00
3n_plus_1.py
Change occurrences of str.format to f-strings (#4118)
2021-02-23 11:23:49 +05:30
abs.py
refactor(abs): Condense abs_min and abs_max (#7881)
2022-11-01 07:50:43 +01:00
add.py
Add typing to maths/add.py (#7064)
2022-10-13 11:45:20 +02:00
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
Fixed allocation_number (#2768)
2020-10-05 09:17:46 +05:30
arc_length.py
Arc Length Algorithm (#7610)
2022-10-25 21:47:52 +02:00
area_under_curve.py
Add flake8 pluin flake8 bugbear to pre-commit (#7132)
2022-10-13 18:03:06 +02:00
area.py
Added Torus surface area (#7906)
2022-11-01 10:50:50 +13:00
armstrong_numbers.py
Add flake8-builtins to pre-commit and fix errors (#7105)
2022-10-13 19:53:59 +05:30
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
Pyupgrade to Python 3.9 (#4718)
2021-09-07 13:37:03 +02:00
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
basic_maths.py
Update basic_maths.py (#6017)
2022-06-22 12:04:18 +08:00
binary_exp_mod.py
Added binary exponentiaion with respect to modulo (#1428)
2019-12-24 07:23:15 +01:00
binary_exponentiation_2.py
move-files-and-2-renames (#4285)
2021-03-22 10:52:26 +01:00
binary_exponentiation_3.py
move-files-and-2-renames (#4285)
2021-03-22 10:52:26 +01:00
binary_exponentiation.py
Improved readability (#1615)
2019-12-07 06:39:59 +01:00
binomial_coefficient.py
Add pep8-naming to pre-commit hooks and fixes incorrect naming conventions (#7062)
2022-10-13 00:54:20 +02:00
binomial_distribution.py
The black formatter is no longer beta (#5960)
2022-01-30 20:29:54 +01:00
bisection.py
refactor: Indent ... for visual purposes (#7744)
2022-10-27 19:42:30 +02:00
carmichael_number.py
Add pep8-naming to pre-commit hooks and fixes incorrect naming conventions (#7062)
2022-10-13 00:54:20 +02:00
catalan_number.py
refactor: Indent ... for visual purposes (#7744)
2022-10-27 19:42:30 +02:00
ceil.py
Add typing to maths/ceil.py (#7057)
2022-10-12 20:41:52 +02:00
check_polygon.py
[mypy] check polygon and corrections (#5419)
2021-10-21 21:13:42 +08:00
chudnovsky_algorithm.py
Fix some warnings from LGTM (#2420)
2020-09-13 10:11:27 +02:00
collatz_sequence.py
from __future__ import annotations (#2464)
2020-09-23 13:30:13 +02:00
combinations.py
Remove type cast in combinations algorithm (#7607)
2022-10-25 22:34:46 +02:00
decimal_isolate.py
Add typing and snake casing to maths/decimal_isolate.py (#7066)
2022-10-13 12:47:52 +02:00
dodecahedron.py
Dodecahedron surface area and volume (#6606)
2022-10-31 18:15:37 +01:00
double_factorial_iterative.py
Double factorial iterative (#4760)
2021-09-19 03:22:47 +02:00
double_factorial_recursive.py
Adding the double factorial algorithm (#4550)
2021-08-03 08:03:22 +02:00
entropy.py
Pyupgrade to Python 3.9 (#4718)
2021-09-07 13:37:03 +02:00
euclidean_distance.py
pre-commit autoupdate: pyupgrade v2.34.0 -> v2.37.0 (#6245)
2022-07-11 10:19:52 +02:00
euclidean_gcd.py
move-files-and-2-renames (#4285)
2021-03-22 10:52:26 +01:00
euler_method.py
Add pep8-naming to pre-commit hooks and fixes incorrect naming conventions (#7062)
2022-10-13 00:54:20 +02:00
euler_modified.py
Add pep8-naming to pre-commit hooks and fixes incorrect naming conventions (#7062)
2022-10-13 00:54:20 +02:00
eulers_totient.py
Code for Eulers Totient function (#1229)
2019-12-01 06:58:25 +01:00
extended_euclidean_algorithm.py
Misc fixes across multiple algorithms (#6912)
2022-10-16 10:55:38 +05:30
factorial_iterative.py
Fix factorial issues (#5496)
2021-10-21 15:06:32 +08:00
factorial_recursive.py
Create factorial_iterative.py (#1693)
2020-01-18 14:06:48 +01:00
factors.py
Reduced Time Complexity to O(sqrt(n)) (#7429)
2022-10-23 17:56:40 +05:30
fermat_little_theorem.py
Set the Python file maximum line length to 88 characters (#2122)
2020-06-16 10:09:19 +02:00
fibonacci.py
refactor: Indent ... for visual purposes (#7744)
2022-10-27 19:42:30 +02:00
find_max_recursion.py
bugfix: Add empty list detection for find_max/min (#4881)
2021-10-07 23:20:32 +08:00
find_max.py
bugfix: Add empty list detection for find_max/min (#4881)
2021-10-07 23:20:32 +08:00
find_min_recursion.py
bugfix: Add empty list detection for find_max/min (#4881)
2021-10-07 23:20:32 +08:00
find_min.py
bugfix: Add empty list detection for find_max/min (#4881)
2021-10-07 23:20:32 +08:00
floor.py
Add typing to maths/floor.py (#7056)
2022-10-12 20:42:30 +02:00
gamma_recursive.py
[mypy] Fix type annotations for maths directory (#5782)
2021-11-07 16:13:58 +01:00
gamma.py
isort --profile black . (#2181)
2020-07-06 09:44:19 +02:00
gaussian_error_linear_unit.py
Implemented Gelu Function (#7368)
2022-10-19 19:18:33 +02:00
gaussian.py
The black formatter is no longer beta (#5960)
2022-01-30 20:29:54 +01:00
greatest_common_divisor.py
math/greatest_common_divisor: add support for negative numbers (#2628)
2020-10-29 12:47:26 +05:30
greedy_coin_change.py
refactor: Replace list() and dict() calls with literals (#7198)
2022-10-15 06:37:03 +05:30
hamming_numbers.py
Add algorithm for creating Hamming numbers (#4992)
2022-07-17 05:55:29 +08:00
hardy_ramanujanalgo.py
Add pep8-naming to pre-commit hooks and fixes incorrect naming conventions (#7062)
2022-10-13 00:54:20 +02:00
integration_by_simpson_approx.py
Improve code on f-strings and brevity (#6126)
2022-05-13 20:51:44 +08:00
is_ip_v4_address_valid.py
Update and rename check_valid_ip_address.py to is_ip_v4_address_valid.py (#4665)
2021-09-23 02:03:11 +08:00
is_square_free.py
[pre-commit.ci] pre-commit autoupdate (#7387)
2022-10-17 21:59:25 +02:00
jaccard_similarity.py
Misc fixes across multiple algorithms (#6912)
2022-10-16 10:55:38 +05:30
kadanes.py
Add flake8-builtins to pre-commit and fix errors (#7105)
2022-10-13 19:53:59 +05:30
karatsuba.py
Remove unnecessary else statement (#7759)
2022-10-27 22:51:14 +02:00
krishnamurthy_number.py
Add pep8-naming to pre-commit hooks and fixes incorrect naming conventions (#7062)
2022-10-13 00:54:20 +02:00
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
LargestOfVeryLargeNumbers (#818)
2019-07-30 08:47:54 +02:00
largest_subarray_sum.py
move-files-and-2-renames (#4285)
2021-03-22 10:52:26 +01:00
least_common_multiple.py
More efficient least common multiple. (#2281)
2020-08-05 12:39:15 +02:00
line_length.py
Add flake8 pluin flake8 bugbear to pre-commit (#7132)
2022-10-13 18:03:06 +02:00
lucas_lehmer_primality_test.py
Add flake8 pluin flake8 bugbear to pre-commit (#7132)
2022-10-13 18:03:06 +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
refactor: Indent ... for visual purposes (#7744)
2022-10-27 19:42:30 +02:00
manhattan_distance.py
Added Manhattan distance algorithm (#7790)
2022-10-30 10:00:47 +01:00
matrix_exponentiation.py
Change to https. (#7277)
2022-10-16 09:43:29 +02:00
max_sum_sliding_window.py
Pyupgrade to Python 3.9 (#4718)
2021-09-07 13:37:03 +02:00
median_of_two_arrays.py
Pyupgrade to Python 3.9 (#4718)
2021-09-07 13:37:03 +02:00
miller_rabin.py
Add flake8 pluin flake8 bugbear to pre-commit (#7132)
2022-10-13 18:03:06 +02:00
mobius_function.py
isort --profile black . (#2181)
2020-07-06 09:44:19 +02:00
modular_exponential.py
Set the Python file maximum line length to 88 characters (#2122)
2020-06-16 10:09:19 +02:00
monte_carlo_dice.py
Add flake8 pluin flake8 bugbear to pre-commit (#7132)
2022-10-13 18:03:06 +02:00
monte_carlo.py
pre-commit autoupdate: pyupgrade v2.34.0 -> v2.37.0 (#6245)
2022-07-11 10:19:52 +02:00
nevilles_method.py
refactor: Replace doctest traceback with ... (#7558)
2022-10-23 16:36:10 +02:00
newton_raphson.py
Optimized recursive_bubble_sort (#2410)
2020-09-10 10:31:26 +02:00
number_of_digits.py
fix number_of_digits bug (#2301)
2020-08-12 18:32:35 +02:00
numerical_integration.py
Add flake8 pluin flake8 bugbear to pre-commit (#7132)
2022-10-13 18:03:06 +02:00
perfect_cube.py
Fix syntax for flake8 passing (#2096)
2020-06-12 06:51:47 +02:00
perfect_number.py
Python Program to Check Krishnamurthy Number (#2248)
2020-07-29 10:54:05 +02:00
perfect_square.py
The black formatter is no longer beta (#5960)
2022-01-30 20:29:54 +01:00
persistence.py
Add new persistence algorithm (#4751)
2021-11-13 17:32:44 +08:00
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
Add points are collinear in 3d algorithm to /maths (#5983)
2022-02-13 18:09:09 +01:00
pollard_rho.py
Add flake8 pluin flake8 bugbear to pre-commit (#7132)
2022-10-13 18:03:06 +02:00
polynomial_evaluation.py
Remove useless code in doctests (#7733)
2022-10-27 22:52:00 +02:00
power_using_recursion.py
Added Finding Exponent Program (#2238)
2020-07-27 11:33:13 +02:00
prime_check.py
fix: test failures (#6250)
2022-07-14 12:54:24 +05:30
prime_factors.py
from __future__ import annotations (#2464)
2020-09-23 13:30:13 +02:00
prime_numbers.py
Add flake8-builtins to pre-commit and fix errors (#7105)
2022-10-13 19:53:59 +05:30
prime_sieve_eratosthenes.py
Fix yesqa hook (#7843)
2022-10-29 15:07:02 +02:00
primelib.py
Add Flake8 comprehensions to pre-commit (#7235)
2022-10-15 19:29:42 +02:00
print_multiplication_table.py
Add print_multiplication_table.py (#6607)
2022-10-30 23:55:11 +01:00
proth_number.py
refactor: Indent ... for visual purposes (#7744)
2022-10-27 19:42:30 +02:00
pythagoras.py
pyupgrade --py37-plus **/*.py (#1654)
2020-01-03 22:25:36 +08:00
qr_decomposition.py
Add pep8-naming to pre-commit hooks and fixes incorrect naming conventions (#7062)
2022-10-13 00:54:20 +02:00
quadratic_equations_complex_numbers.py
Change occurrences of str.format to f-strings (#4118)
2021-02-23 11:23:49 +05:30
radians.py
Tighten up psf/black and flake8 (#2024)
2020-05-22 08:10:11 +02:00
radix2_fft.py
Remove useless code in doctests (#7733)
2022-10-27 22:52:00 +02:00
relu.py
from __future__ import annotations (#2464)
2020-09-23 13:30:13 +02:00
runge_kutta.py
Add pep8-naming to pre-commit hooks and fixes incorrect naming conventions (#7062)
2022-10-13 00:54:20 +02:00
segmented_sieve.py
Add typing to maths/segmented_sieve.py (#7054)
2022-10-12 18:49:49 +02:00
sieve_of_eratosthenes.py
Pyupgrade to Python 3.9 (#4718)
2021-09-07 13:37:03 +02:00
sigmoid_linear_unit.py
Implemented Swish Function (#7357)
2022-10-28 16:27:16 +02:00
sigmoid.py
Add Maths / Sigmoid Function (#3880)
2020-11-15 09:14:40 +05:30
signum.py
Add signum function (#7526)
2022-10-23 13:17:30 +02:00
simpson_rule.py
Create codespell.yml (#1698)
2020-01-18 13:24:33 +01:00
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
Add pep8-naming to pre-commit hooks and fixes incorrect naming conventions (#7062)
2022-10-13 00:54:20 +02:00
square_root.py
Add flake8 pluin flake8 bugbear to pre-commit (#7132)
2022-10-13 18:03:06 +02:00
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)
2022-10-30 11:49:05 +01:00
sylvester_sequence.py
refactor: Indent ... for visual purposes (#7744)
2022-10-27 19:42:30 +02:00
test_prime_check.py
Change to https. (#7277)
2022-10-16 09:43:29 +02:00
trapezoidal_rule.py
Create codespell.yml (#1698)
2020-01-18 13:24:33 +01:00
triplet_sum.py
Fix mypy error at maths (#4613)
2021-08-15 21:15:53 +02:00
two_pointer.py
move-files-and-2-renames (#4285)
2021-03-22 10:52:26 +01:00
two_sum.py
Fix mypy error at maths (#4613)
2021-08-15 21:15:53 +02:00
ugly_numbers.py
Add flake8 pluin flake8 bugbear to pre-commit (#7132)
2022-10-13 18:03:06 +02:00
volume.py
Torus volume (#7905)
2022-11-01 10:51:45 +13:00
weird_number.py
Weird numbers (#6871)
2022-10-12 22:42:02 +02:00
zellers_congruence.py
refactor: Indent ... for visual purposes (#7744)
2022-10-27 19:42:30 +02:00