Algorithm
- The idea is similar to merge sort, divide the array into two equal or almost equal halves in each step until the base case is reached. diff --git a/d2/d3b/namespaceqr__algorithm.html b/d2/d3b/namespaceqr__algorithm.html index 18bdf630a..cfed55391 100644 --- a/d2/d3b/namespaceqr__algorithm.html +++ b/d2/d3b/namespaceqr__algorithm.html @@ -438,7 +438,7 @@ template<typename T > - + @@ -471,6 +471,7 @@ template<typename T >
- Generated by
1.9.1
+ - Fibonacci
- Fibonacci Fast
- Fibonacci Large +
- Fibonacci Matrix Exponentiation
- Fibonacci Sum
- Gcd Iterative Euclidean
- Gcd Of N Numbers @@ -290,6 +291,7 @@ Math
- String Fibonacci
- Sum Of Binomial Coefficient
- Sum Of Digits +
- Vector Cross Product
- Parameters
-
+
+
+A contains the direction ratios of the first mathematical vector. B contains the direction ration of the second mathematical vector.
+ - Returns
- the direction ratios of the cross product.
- Parameters
-
+
+
+vec an array containing the direction ratios of a mathematical vector.
+ - Returns
- type: double description: the magnitude of the mathematical vector from the given direction ratios.
- Returns
- 0 on exit
- Generated by 1.9.1
+
- is_square() : ordinary_least_squares_regressor.cpp -
- IsPrime() -: primality_test.cpp -
- isPrime() : modular_inverse_fermat_little_theorem.cpp +
- IsPrime() +: primality_test.cpp +
- it_ternary_search() : ternary_search.cpp diff --git a/globals_func_m.html b/globals_func_m.html index eec0d54ee..83d31df14 100644 --- a/globals_func_m.html +++ b/globals_func_m.html @@ -188,6 +188,7 @@ $(document).ready(function(){initNavTree('globals_func_m.html',''); initResizabl , string_fibonacci.cpp , sum_of_binomial_coefficient.cpp , sum_of_digits.cpp +, vector_cross_product.cpp , bisection_method.cpp , brent_method_extrema.cpp , false_position.cpp diff --git a/globals_func_s.html b/globals_func_s.html index 4981e10ce..79af10ed4 100644 --- a/globals_func_s.html +++ b/globals_func_s.html @@ -126,12 +126,12 @@ $(document).ready(function(){initNavTree('globals_func_s.html',''); initResizabl
- show_pascal() : pascal_triangle.cpp -
- sieve() -: sieve_of_eratosthenes.cpp -
- Sieve() : primes_up_to_billion.cpp +
- sieve() +: sieve_of_eratosthenes.cpp +
- SieveOfEratosthenes() : prime_factorization.cpp diff --git a/globals_func_t.html b/globals_func_t.html index 2b58fe8a4..3bd9c80e3 100644 --- a/globals_func_t.html +++ b/globals_func_t.html @@ -128,6 +128,7 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl , n_choose_r.cpp , sum_of_binomial_coefficient.cpp , sum_of_digits.cpp +, vector_cross_product.cpp , rungekutta.cpp , smallest_circle.cpp , median_search.cpp diff --git a/globals_i.html b/globals_i.html index 27f9a0d1f..7d6b5f534 100644 --- a/globals_i.html +++ b/globals_i.html @@ -126,12 +126,12 @@ $(document).ready(function(){initNavTree('globals_i.html',''); initResizable();
- is_square() : ordinary_least_squares_regressor.cpp -
- IsPrime() -: primality_test.cpp -
- isPrime() : modular_inverse_fermat_little_theorem.cpp +
- IsPrime() +: primality_test.cpp +
- isprime : prime_factorization.cpp diff --git a/globals_m.html b/globals_m.html index 3befc1a32..9c1202053 100644 --- a/globals_m.html +++ b/globals_m.html @@ -188,6 +188,7 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable(); , string_fibonacci.cpp , sum_of_binomial_coefficient.cpp , sum_of_digits.cpp +, vector_cross_product.cpp , bisection_method.cpp , brent_method_extrema.cpp , false_position.cpp diff --git a/globals_p.html b/globals_p.html index 2e3578112..180dccaed 100644 --- a/globals_p.html +++ b/globals_p.html @@ -130,12 +130,12 @@ $(document).ready(function(){initNavTree('globals_p.html',''); initResizable();
- predict_OLS_regressor() : ordinary_least_squares_regressor.cpp -
- PRIME -: rabin_karp.cpp -
- prime : primes_up_to_billion.cpp +
- PRIME +: rabin_karp.cpp +
- prime_factorization() : prime_factorization.cpp diff --git a/globals_s.html b/globals_s.html index 3ec5d0aab..b717f4e8f 100644 --- a/globals_s.html +++ b/globals_s.html @@ -126,12 +126,12 @@ $(document).ready(function(){initNavTree('globals_s.html',''); initResizable();
- show_pascal() : pascal_triangle.cpp -
- sieve() -: sieve_of_eratosthenes.cpp -
- Sieve() : primes_up_to_billion.cpp +
- sieve() +: sieve_of_eratosthenes.cpp +
- SieveOfEratosthenes() : prime_factorization.cpp diff --git a/globals_t.html b/globals_t.html index cf161f7e1..64856cf7c 100644 --- a/globals_t.html +++ b/globals_t.html @@ -128,6 +128,7 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable(); , n_choose_r.cpp , sum_of_binomial_coefficient.cpp , sum_of_digits.cpp +, vector_cross_product.cpp , rungekutta.cpp , smallest_circle.cpp , median_search.cpp diff --git a/index.html b/index.html index 07d2f2ac7..21ccd0c85 100644 --- a/index.html +++ b/index.html @@ -96,10 +96,10 @@ $(document).ready(function(){initNavTree('index.html',''); initResizable(); });
- The repository provides implementations of various algorithms in one of the most fundamental general purpose languages - C++. @@ -110,12 +110,12 @@ Features
- Self-checks within programs ensure correct implementations with confidence.
- Modular implementations and OpenSource licensing enable the functions to be utilized conveniently in other applications. -
std::valarray< T > vector_proj(const std::valarray< T > &a, const std::valarray< T > &b)
Definition: qr_decompose.h:104
double mag(const std::array< double, 3 > &vec)
Calculates the magnitude of the mathematical vector from it's direction ratios.
Definition: vector_cross_product.cpp:83
Here is the call graph for this function:
diff --git a/d4/d91/namespacevector__cross.html b/d4/d91/namespacevector__cross.html
new file mode 100644
index 000000000..652c94572
--- /dev/null
+++ b/d4/d91/namespacevector__cross.html
@@ -0,0 +1,112 @@
+
+
+
+
+
+
+
+Algorithms_in_C++: vector_cross Namespace Reference
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
Algorithms_in_C++: math/vector_cross_product.cpp File Reference
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+file sum_of_digits.cpp A C++ Program to find the Sum of Digits of input integer.
file vector_cross_product.cpp Calculates the Cross Product and the magnitude of two mathematical 3D vectors.
► numerical_methods
+
+
+
+
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Nmedian_search Functions for Median search algorithm Nmerge_insertion Combined Intersion-Merge sorting algorithm Nmincoins_topdown Functions for minimum coin exchange problem Nstrings Algorithms with strings Ntree_234 Functions for 2–3–4 tree Nutil_functions Various utility functions used in Neural network Nvigenere Functions for vigenère cipher algorithm Nwiggle_sort Functions for Wiggle Sort algorithm Nword_break Functions for Word Break problem NXOR Functions for XOR cipher algorithm Nvector_cross Functions for Vector Cross Product algorithms Nvigenere Functions for vigenère cipher algorithm Nwiggle_sort Functions for Wiggle Sort algorithm Nword_break Functions for Word Break problem NXOR Functions for XOR cipher algorithm
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+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+|
+ Algorithms_in_C++
+ 1.0.0
+
+ Set of algorithms implemented in C++.
+ |
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+vector_cross Namespace Reference
+
+
+Functions for Vector Cross Product algorithms. +More...
+Detailed Description
+Functions for Vector Cross Product algorithms.
+
+
+
+
diff --git a/d5/d88/md__d_i_r_e_c_t_o_r_y.html b/d5/d88/md__d_i_r_e_c_t_o_r_y.html
index e81b88610..26ba8ec5c 100644
--- a/d5/d88/md__d_i_r_e_c_t_o_r_y.html
+++ b/d5/d88/md__d_i_r_e_c_t_o_r_y.html
@@ -263,6 +263,7 @@ Math
-
+
+
Numerical Methods
diff --git a/d5/ddb/bogo__sort_8cpp.html b/d5/ddb/bogo__sort_8cpp.html index 873660c2e..2c438d861 100644 --- a/d5/ddb/bogo__sort_8cpp.html +++ b/d5/ddb/bogo__sort_8cpp.html @@ -136,7 +136,7 @@ FunctionsDetailed Description
Implementation of Bogosort algorithm
In computer science, bogosort (also known as permutation sort, stupid sort, slowsort, shotgun sort, random sort, monkey sort, bobosort or shuffle sort) is a highly inefficient sorting algorithm based on the generate and test paradigm. Two versions of this algorithm exist: a deterministic version that enumerates all permutations until it hits a sorted one, and a randomized version that randomly permutes its input.Randomized version is implemented here.
-
+
Algorithm
Shuffle the array untill array is sorted.
diff --git a/db/dc3/vector__cross__product_8cpp__incl.map b/db/dc3/vector__cross__product_8cpp__incl.map new file mode 100644 index 000000000..002d9149d --- /dev/null +++ b/db/dc3/vector__cross__product_8cpp__incl.map @@ -0,0 +1,7 @@ + diff --git a/db/dc3/vector__cross__product_8cpp__incl.md5 b/db/dc3/vector__cross__product_8cpp__incl.md5 new file mode 100644 index 000000000..0da4a5b96 --- /dev/null +++ b/db/dc3/vector__cross__product_8cpp__incl.md5 @@ -0,0 +1 @@ +7b7f421a9e0231729826a57d07769d6c \ No newline at end of file diff --git a/db/dc3/vector__cross__product_8cpp__incl.svg b/db/dc3/vector__cross__product_8cpp__incl.svg new file mode 100644 index 000000000..a161388f7 --- /dev/null +++ b/db/dc3/vector__cross__product_8cpp__incl.svg @@ -0,0 +1,82 @@ + + + + + diff --git a/dd/d47/namespacemath.html b/dd/d47/namespacemath.html index 6a01baf91..3f3154e5e 100644 --- a/dd/d47/namespacemath.html +++ b/dd/d47/namespacemath.html @@ -121,6 +121,7 @@ FunctionsDetailed Description
for std::vector
+Math algorithms.
for IO operations
for io operations
diff --git a/dd/d47/namespacemath.js b/dd/d47/namespacemath.js index aaf9ee410..9e464c69c 100644 --- a/dd/d47/namespacemath.js +++ b/dd/d47/namespacemath.js @@ -14,6 +14,10 @@ var namespacemath = [ "ncr_modulo_p", null, [ [ "NCRModuloP", "d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html", "d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p" ] ] ], + [ "vector_cross", null, [ + [ "cross", "df/d66/vector__cross__product_8cpp.html#abed307975124243d63fe2e118254defe", null ], + [ "mag", "df/d66/vector__cross__product_8cpp.html#a4b2a9757a87c18e1642d72410ecfaba8", null ] + ] ], [ "binomialCoeffSum", "dd/d47/namespacemath.html#ae1ca505751f5a6d3977b86372cfe75ea", null ], [ "largestPower", "dd/d47/namespacemath.html#afa39ec943a4836c878e1614fd89b146f", null ], [ "lcmSum", "dd/d47/namespacemath.html#a04065193d190d605e1f0d0d93a87e244", null ], diff --git a/df/d66/vector__cross__product_8cpp.html b/df/d66/vector__cross__product_8cpp.html new file mode 100644 index 000000000..35ab8962b --- /dev/null +++ b/df/d66/vector__cross__product_8cpp.html @@ -0,0 +1,359 @@ + + + + + + + +
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+|
+ Algorithms_in_C++
+ 1.0.0
+
+ Set of algorithms implemented in C++.
+ |
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+Namespaces |
+Functions
+
+
+vector_cross_product.cpp File Reference
+
+
+
+
+
+
+
+
+
+Calculates the Cross Product and the magnitude of two mathematical 3D vectors. +More...
+#include <iostream>+
#include <array>+
#include <cmath>+
#include <cassert>+
+Include dependency graph for vector_cross_product.cpp:
+
+
+
+
++Namespaces | |
| math | |
| for std::vector | |
| vector_cross | |
| Functions for Vector Cross Product algorithms. | |
+Functions | |
| std::array< double, 3 > | math::vector_cross::cross (const std::array< double, 3 > &A, const std::array< double, 3 > &B) |
| Function to calculate the cross product of the passed arrays containing the direction ratios of the two mathematical vectors. More... | |
| double | math::vector_cross::mag (const std::array< double, 3 > &vec) |
| Calculates the magnitude of the mathematical vector from it's direction ratios. More... | |
| static void | test () |
| namespace math More... | |
| int | main () |
| Main Function. More... | |
Detailed Description
+Calculates the Cross Product and the magnitude of two mathematical 3D vectors.
+Cross Product of two vectors gives a vector. Direction Ratios of a vector are the numeric parts of the given vector. They are the tree parts of the vector which determine the magnitude (value) of the vector. The method of finding a cross product is the same as finding the determinant of an order 3 matrix consisting of the first row with unit vectors of magnitude 1, the second row with the direction ratios of the first vector and the third row with the direction ratios of the second vector. The magnitude of a vector is it's value expressed as a number. Let the direction ratios of the first vector, P be: a, b, c Let the direction ratios of the second vector, Q be: x, y, z Therefore the calculation for the cross product can be arranged as:
+P x Q:
+ 1 1 1
+ a b c
+ x y z
+The direction ratios (DR) are calculated as follows: 1st DR, J: (b * z) - (c * y) 2nd DR, A: -((a * z) - (c * x)) 3rd DR, N: (a * y) - (b * x)
+Therefore, the direction ratios of the cross product are: J, A, N The following C++ Program calculates the direction ratios of the cross products of two vector. The program uses a function, cross() for doing so. The direction ratios for the first and the second vector has to be passed one by one seperated by a space character.
+Magnitude of a vector is the square root of the sum of the squares of the direction ratios.
++Example:
+An example of a running instance of the executable program:
Pass the first Vector: 1 2 3 +
Pass the second Vector: 4 5 6 The cross product is: -3 6 -3 Magnitude: 7.34847
+ +Function Documentation
+ +◆ cross()
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| std::array<double, 3> math::vector_cross::cross | +( | +const std::array< double, 3 > & | +A, | +
| + | + | const std::array< double, 3 > & | +B | +
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+Function to calculate the cross product of the passed arrays containing the direction ratios of the two mathematical vectors.
+Performs the cross product as shown in @algorithm.
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+◆ mag()
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| double math::vector_cross::mag | +( | +const std::array< double, 3 > & | +vec | ) | ++ |
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+Calculates the magnitude of the mathematical vector from it's direction ratios.
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T sqrt(T... args)
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+◆ main()
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| int main | +( | +void | +) | ++ |
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+Main Function.
+Asks the user to enter the direction ratios for each of the two mathematical vectors using std::cin
Tests the functions with sample input before asking for user input.
+Gets the values for the first vector.
+Gets the values for the second vector.
+Displays the output out.
+Displays the magnitude of the cross product.
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127 std::cout << "\nThe cross product is: " << product[0] << " " << product[1] << " " << product[2] << std::endl;
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double mag(const std::array< double, 3 > &vec)
Calculates the magnitude of the mathematical vector from it's direction ratios.
Definition: vector_cross_product.cpp:83
std::array< double, 3 > cross(const std::array< double, 3 > &A, const std::array< double, 3 > &B)
Function to calculate the cross product of the passed arrays containing the direction ratios of the t...
Definition: vector_cross_product.cpp:69
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+◆ test()
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diff --git a/df/d66/vector__cross__product_8cpp.js b/df/d66/vector__cross__product_8cpp.js
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+var vector__cross__product_8cpp =
+[
+ [ "cross", "df/d66/vector__cross__product_8cpp.html#abed307975124243d63fe2e118254defe", null ],
+ [ "mag", "df/d66/vector__cross__product_8cpp.html#a4b2a9757a87c18e1642d72410ecfaba8", null ],
+ [ "main", "df/d66/vector__cross__product_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4", null ],
+ [ "test", "df/d66/vector__cross__product_8cpp.html#aa8dca7b867074164d5f45b0f3851269d", null ]
+];
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Overview
The repository is a collection of open-source implementation of a variety of algorithms implemented in C++ and licensed under MIT License. The algorithms span a variety of topics from computer science, mathematics and statistics, data science, machine learning, engineering, etc.. The implementations and the associated documentation are meant to provide a learning resource for educators and students. Hence, one may find more than one implementation for the same objective but using a different algorithm strategies and optimizations.
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Features
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Documentation
Online Documentation is generated from the repository source codes directly. The documentation contains all resources including source code snippets, details on execution of the programs, diagrammatic representation of program flow, and links to external resources where necessary. The documentation also introduces interactive source code with links to documentation for C++ STL library functions used. Click on Files menu to see the list of all the files documented with the code.
Documentation of Algorithms in C++ by The Algorithms Contributors is licensed under CC BY-SA 4.0
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Contributions
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