Major rework to improve code quality and add automation checks (#805)

* delete secant method - it is identical to regula falsi

* document + improvize root finding algorithms

* attempt to document gaussian elimination

* added file brief

* commented doxygen-mainpage, added files-list link

* corrected files list link path

* files-list link correction - this time works :)

* document successive approximations

* cleaner equation

* updating DIRECTORY.md

* documented kmp string search

* document brute force string search

* document rabin-karp string search

* fixed mainpage readme

* doxygen v1.8.18 will suppress out the #minipage in the markdown

* cpplint correction for header guard style

* github action to auto format source code per cpplint standard

* updated setting to add 1 space before `private` and `public` keywords

* auto rename files and auto format code

* added missing "run" for step

* corrected asignmemt operation

* fixed trim and assign syntax

* added git move for renaming bad filenames

* added missing pipe for trim

* added missing space

* use old and new fnames

* store old fname using echo

* move files only if there is a change in filename

* put old filenames in quotes

* use double quote for old filename

* escape double quotes

* remove old_fname

* try escape characters and echo"

* add file-type to find

* cleanup echo

* ensure all trim variables are also in quotes

* try escape -quote again

* remove second escpe quote

* use single quote for first check

* use carets instead of quotes

* put variables in brackets

* remove -e from echo

* add debug echos

* try print0 flag

* find command with while instead of for-loop

* find command using IFS instead

* 🎉 IFS fix worked - escaped quotes for git mv

* protetc each word in git mv ..

* filename exists in lower cases - renamed

* 🎉 git push enabled

* updating DIRECTORY.md

* git pull & then push

* formatting filenames d7af6fdc8c

* formatting source-code for d7af6fdc8c

* remove allman break before braces

* updating DIRECTORY.md

* added missing comma lost in previous commit

* orchestrate all workflows

* fix yml indentation

* force push format changes, add title to DIRECTORY.md

* pull before proceeding

* reorganize pull commands

* use master branches for actions

* rename .cc files to .cpp

* added class destructor to clean up dynamic memory allocation

* rename to awesome workflow

* commented whole repo cpplint - added modified files lint check

* removed need for cpplint

* attempt to use actions/checkout@master

* temporary: no dependency on cpplint

* formatting filenames 153fb7b8a5

* formatting source-code for 153fb7b8a5

* updating DIRECTORY.md

* fix diff filename

* added comments to the code

* added test case

* formatting source-code for a850308fba

* updating DIRECTORY.md

* added machine learning folder

* added adaline algorithm

* updating DIRECTORY.md

* fixed issue [LWG2192](https://cplusplus.github.io/LWG/issue2192) for std::abs on MacOS

* add cmath for same bug: [LWG2192](https://cplusplus.github.io/LWG/issue2192) for std::abs on MacOS

* formatting source-code for f8925e4822

* use STL's inner_product

* formatting source-code for f94a330594

* added range comments

* define activation function

* use equal initial weights

* change test2 function to predict

* activation function not friend

* previous commit correction

* added option for predict function to return value before applying activation function as optional argument

* added test case to classify points lying within a sphere

* improve documentation for adaline

* formatting source-code for 15ec4c3aba

* added cmake to geometry folder

* added algorithm include for std::max

* add namespace - machine_learning

* add namespace - statistics

* add namespace - sorting

* added sorting algos to namespace sorting

* added namespace string_search

* formatting source-code for fd69530515

* added documentation to string_search namespace

* feat: Add BFS and DFS algorithms to check for cycle in a directed graph

* Remove const references for input of simple types

Reason: overhead on access

* fix bad code

sorry for force push

* Use pointer instead of the non-const reference

because apparently google says so.

* Remove a useless and possibly bad Graph constuctor overload

* Explicitely specify type of vector during graph instantiation

* updating DIRECTORY.md

* find openMP before adding subdirectories

* added kohonen self organizing map

* updating DIRECTORY.md

* remove older files and folders from gh-pages before adding new files

* remove chronos library due to inacceptability by cpplint

* use c++ specific static_cast instead

* initialize radom number generator

* updated image links with those from CPP repository

* rename computer.... folder to numerical methods

* added durand kerner method for root computation for arbitrarily large polynomials

* fixed additional comma

* fix cpplint errors

* updating DIRECTORY.md

* convert to function module

* update documentation

* move openmp to main loop

* added two test cases

* use INT16_MAX

* remove return statement from omp-for loop and use "break"

* run tests when no input is provided and skip tests when input polynomial is provided

* while loop cannot have break - replaced with continue and check is present in the main while condition

* (1) break while loop (2) skip runs on break_loop instead of hard-break

* add documentation images

* use long double for errors and tolerance checks

* make iterator variable i local to threads

* add critical secions to omp threads

* bugfix: move file writing outside of the parallel loop
othersie, there is no gurantee of the order of roots written to file

* rename folder to data_structures

* updating DIRECTORY.md

* fix ambiguous symbol `size`

* add data_structures to cmake

* docs: enable tree view, add timestamp in footer, try clang assistaed parsing

* doxygen - open links in external window

* remove invalid parameter from function docs

* use HTML5 img tag to resize images

* move file to proper folder

* fix documentations and cpplint

* formatting source-code for aacaf9828c

* updating DIRECTORY.md

* cpplint: add braces for multiple statement if

* add explicit link to badges

* remove  duplicate line

Signed-off-by: Krishna Vedala <7001608+kvedala@users.noreply.github.com>

* remove namespace indentation

* remove file associations in settings

* add author name

* enable cmake in subfolders of data_structures

* create and link object file

* cpp lint fixes and instantiate template classes

* cpp lint fixes and instantiate template classes

Signed-off-by: Krishna Vedala <7001608+kvedala@users.noreply.github.com>

* cpplint - ignore `build/include`

Signed-off-by: Krishna Vedala <7001608+kvedala@users.noreply.github.com>

* disable redundant gcc compilation in cpplint workflow

Signed-off-by: Krishna Vedala <7001608+kvedala@users.noreply.github.com>

* template header files contain function codes as well and removed redundant subfolders

Signed-off-by: Krishna Vedala <7001608+kvedala@users.noreply.github.com>

* updating DIRECTORY.md

* remove semicolons after functions in a class

Signed-off-by: Krishna Vedala <7001608+kvedala@users.noreply.github.com>

* cpplint header guard style

Signed-off-by: Krishna Vedala <7001608+kvedala@users.noreply.github.com>

* remove semilon

Signed-off-by: Krishna Vedala <7001608+kvedala@users.noreply.github.com>

* added LU decomposition algorithm

Signed-off-by: Krishna Vedala <7001608+kvedala@users.noreply.github.com>

* added QR decomposition algorithm

Signed-off-by: Krishna Vedala <7001608+kvedala@users.noreply.github.com>

* use QR decomposition to find eigen values

Signed-off-by: Krishna Vedala <7001608+kvedala@users.noreply.github.com>

* updating DIRECTORY.md

* use std::rand for thread safety

Signed-off-by: Krishna Vedala <7001608+kvedala@users.noreply.github.com>

* move srand to main()

Signed-off-by: Krishna Vedala <7001608+kvedala@users.noreply.github.com>

* cpplint braces correction

Signed-off-by: Krishna Vedala <7001608+kvedala@users.noreply.github.com>

* updated eigen value documentation

Signed-off-by: Krishna Vedala <7001608+kvedala@users.noreply.github.com>

* fix matrix shift doc

Signed-off-by: Krishna Vedala <7001608+kvedala@users.noreply.github.com>

* rename CONTRIBUTION.md to CONTRIBUTING.md #836

* remove 'sort alphabetical order' check

* added documentation check

* remove extra paranthesis

* added gitpod

* added gitpod link from README

* attempt to add vscode gitpod extensions

* update gitpod extensions

* add gitpod extensions cmake-tools and git-graph

* remove gitpod init and add commands

* use init to one time install doxygen, graphviz, cpplint

* use gitpod dockerfile

* add ninja build system to docker

* remove configure task

* add github prebuild specs to gitpod

* disable gitpod addcommit

* update documentation for kohonen_som

* added ode solve using forward euler method

* added mid-point euler ode solver

* fixed itegration step equation

* added semi-implicit euler ODE solver

* updating DIRECTORY.md

* fix cpplint issues - lines 117 and 124

* added documentation to ode group

* corrected semi-implicit euler function

* updated docs and test cases better structure

* replace `free` with `delete` operator

* formatting source-code for f55ab50cf2

* updating DIRECTORY.md

* main function must return

* added machine learning group

* added kohonen som topology algorithm

* fix graph image path

* updating DIRECTORY.md

* fix braces

* use snprintf instead of sprintf

* use static_cast

* hardcode character buffer size

* fix machine learning groups in documentation

* fix missing namespace function

* replace kvedala fork references to TheAlgorithms

* fix bug in counting_sort

Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
Co-authored-by: Anmol3299 <mittalanmol22@gmail.com>

math/binary_exponent.cpp

@@ -1,46 +1,57 @@
-/// C++ Program to find Binary Exponent Iteratively and Recursively.
-
-#include<iostream>
-/*
- * Calculate a^b in O(log(b)) by converting b to a binary number.
- * Binary exponentiation is also known as exponentiation by squaring.
- * NOTE : This is a far better approach compared to naive method which provide O(b) operations.
+/**
+ * @file
+ * @brief C++ Program to find Binary Exponent Iteratively and Recursively.
+ *
+ * Calculate \f$a^b\f$ in \f$O(\log(b))\f$ by converting \f$b\f$ to a
+ * binary number. Binary exponentiation is also known as exponentiation by
+ * squaring.
+ * @note This is a far better approach compared to naive method which
+ * provide \f$O(b)\f$ operations.
+ *
  * Example:
- * 10 in base 2 is 1010.
- * 2^10 = 2^(1010) = 2^8 * 2^2
- * 2^1 = 2
- * 2^2 = (2^1)^2 = 2^2 = 4
- * 2^4 = (2^2)^2 = 4^2 = 16
- * 2^8 = (2^4)^2 = 16^2 = 256
- * Hence to calculate 2^10 we only need to multiply 2^8 and 2^2 skipping 2^1 and 2^4.
-*/
+ * </br>10 in base 2 is 1010.
+ * \f{eqnarray*}{
+ * 2^{10_d} &=& 2^{1010_b} = 2^8 * 2^2\\
+ * 2^1 &=& 2\\
+ * 2^2 &=& (2^1)^2 = 2^2 = 4\\
+ * 2^4 &=& (2^2)^2 = 4^2 = 16\\
+ * 2^8 &=& (2^4)^2 = 16^2 = 256\\
+ * \f}
+ * Hence to calculate 2^10 we only need to multiply \f$2^8\f$ and \f$2^2\f$
+ * skipping \f$2^1\f$ and \f$2^4\f$.
+ */
 
-/// Recursive function to calculate exponent in O(log(n)) using binary exponent.
+#include <iostream>
+
+/// Recursive function to calculate exponent in \f$O(\log(n))\f$ using binary
+/// exponent.
 int binExpo(int a, int b) {
     if (b == 0) {
         return 1;
     }
-    int res = binExpo(a, b/2);
-    if (b%2) {
-        return res*res*a;
+    int res = binExpo(a, b / 2);
+    if (b % 2) {
+        return res * res * a;
     } else {
-        return res*res;
+        return res * res;
     }
 }
 
-/// Iterative function to calculate exponent in O(log(n)) using binary exponent.
+/// Iterative function to calculate exponent in \f$O(\log(n))\f$ using binary
+/// exponent.
 int binExpo_alt(int a, int b) {
     int res = 1;
     while (b > 0) {
-        if (b%2) {
-            res = res*a;
+        if (b % 2) {
+            res = res * a;
         }
-        a = a*a;
+        a = a * a;
         b /= 2;
     }
     return res;
 }
 
+/// Main function
 int main() {
     int a, b;
     /// Give two numbers a, b