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4b65a6b6b1
* feat(ExponentialSearch): added C implementation of Exponential Search
* fix: typo
* refactor(ExponentialSearch): removed unused imports
* fix(Exponential Search): review fixes
* updating DIRECTORY.md
* refactor(ExponentialSearch): refactoring types
* fix(ExponentialSearch): fixes and added brief
* refactor(ExponentialSearch): added briefs
Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
108 lines
4.2 KiB
C
108 lines
4.2 KiB
C
/**
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* \file
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* \brief [Exponential Search](https://github.com/TheAlgorithms/Algorithms-Explanation/blob/master/en/Search%20Algorithms/Exponential%20Search.md)
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* \author [Alessio Farinelli](https://github.com/faridevnz)
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*/
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#include <assert.h> /// for assert
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#include <inttypes.h> /// for int64_t, uint16_t
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#define ELEMENT -10
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int64_t binary_search(const int64_t* arr, const uint16_t l_index, const uint16_t r_index, const int64_t n); ///< used to perform the binary search over the given array
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int64_t exponential_search(const int64_t* arr, const uint16_t length, const int64_t n); ///< used to perform the exponential search over the given array
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static void test(); ///< used to run the self-test implementations
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/**
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* Function: exponential_search
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* \brief algorithm that search the index of the given item
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* \details recursive function that take an array and quickly find the range
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* where to apply the binary search algorithm to find the given element
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* ----------------------------
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* \param arr array where search the element
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* \param length the total length of the given array (arr)
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* \param n element to find in the array (arr)
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*
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* \returns the index of the element (n) in the array (arr)
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* \returns -1 if the element wasn't found
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*/
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int64_t exponential_search(const int64_t* arr, const uint16_t length, const int64_t n)
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{
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if ( length == 0 ) { return -1; }
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// find the upperbound
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uint32_t upper_bound = 1;
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while ( upper_bound <= length && arr[upper_bound] < n ) { upper_bound = upper_bound * 2; }
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// calculate the range ( between lower_boud and upper_bound )
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uint16_t lower_bound = upper_bound/2;
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if ( upper_bound > length ) { upper_bound = length; }
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// apply the binary search in the range
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return binary_search(arr, lower_bound, upper_bound, n);
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}
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/**
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* Function: binary_search
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* \brief algorithm that search the index of the given item
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* \details recursive function that search the given element in
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* the array using the [Binary Search](https://github.com/TheAlgorithms/Algorithms-Explanation/blob/master/en/Search%20Algorithms/Binary%20Search.md)
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* ----------------------------
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* \param arr array where search the element
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* \param l_index start index of the array (arr) to apply the algorithm
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* \param r_index end index of the array (arr) to apply the algorithm
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* \param n element to find in the array (arr)
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*
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* \returns the index of the element (n) in the array (arr)
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* \returns -1 if the n element wasn't found
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*/
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int64_t binary_search(const int64_t* arr, const uint16_t l_index, const uint16_t r_index, const int64_t n)
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{
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// calculate the middle index of the array
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uint16_t middle_index = l_index + ( r_index - l_index ) / 2;
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// base cases
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if ( l_index > r_index ) { return -1; }
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if ( arr[middle_index] == n ) { return middle_index; }
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// recursion
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if ( arr[middle_index] > n ) { return binary_search(arr, l_index, middle_index-1, n); } // left
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return binary_search(arr, middle_index+1, r_index, n); // right
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}
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/**
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* @brief Main function
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* @returns 0 on exit
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*/
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int main()
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{
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test(); // run self-test implementations
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return 0;
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}
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/**
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* @brief Self-test implementations
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* @returns void
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*/
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static void test()
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{
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// empty array
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int64_t arr_empty[] = {};
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assert(exponential_search(arr_empty, 0, 10) == -1);
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// elent not found
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int64_t arr_found[] = {1, 2, 3};
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assert(exponential_search(arr_found, 3, 10) == -1);
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// element found in an array of length 1
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int64_t arr_one[] = {1};
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assert(exponential_search(arr_found, 1, 1) == 0);
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// find the first element in an array of length 2
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int64_t arr_first_2[] = {1, 2};
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assert(exponential_search(arr_first_2, 2, 1) == 0);
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// find the last element in an array of length 2
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int64_t arr_last_2[] = {1, 2};
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assert(exponential_search(arr_last_2, 2, 2) == 1);
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// find the first element in an array of length n
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int64_t arr_first_n[] = {-1, 2, 4, 6, 8};
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assert(exponential_search(arr_first_n, 5, -1) == 0);
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// find the last element in an array of length n
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int64_t arr_last_n[] = {-1, 2, 4, 6, 8};
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assert(exponential_search(arr_last_n, 5, 8) == 4);
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// find an element in an array of length n
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int64_t arr_middle[] = {-1, 2, 4, 6, 8};
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assert(exponential_search(arr_middle, 5, 6) == 3);
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}
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