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clang-format and clang-tidy fixes for c98405b3
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@ -1,7 +1,7 @@
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/******************************************************************************
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* @file
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* @brief [interpolation search
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* @brief [interpolation search
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* algorithm](https://en.wikipedia.org/wiki/interpolation_search)
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*
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* @details
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@ -20,7 +20,8 @@
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*
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* //n is the number of element in the array.
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*
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* Worst-case time complexity O(n) (when items are distributed exponentially)
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* Worst-case time complexity O(n) (when items are distributed
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exponentially)
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* Average time complexity O(log2(log2 n))
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* space complexity 0(1)
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*
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@ -38,53 +39,55 @@
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* @brief Searching algorithms
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*******************************************************************************/
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namespace search {
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/******************************************************************************
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* @namespace interpolation_search
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* @brief interpolation search searching algorihm
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*******************************************************************************/
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namespace interpolation_search {
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/******************************************************************************
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* @brief The main function which implements binary search
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* @param arr vector to be searched in
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* @param number value to be searched
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* @returns integer index of `number` in vector `arr`
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*******************************************************************************/
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uint64_t interpolationSearch(const std::vector<uint64_t> &arr, uint64_t number) {
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uint64_t size = arr.size();
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uint64_t low = 0, high = (size - 1);
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namespace interpolation_search {
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// Since vector is sorted, an element present in array must be in range defined by corner
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while (low <= high && number >= arr[low] && number <= arr[high])
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{
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if (low == high) {
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if (arr[low] == number) {
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return low;
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}
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return -1;
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}
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// Probing the position with keeping uniform distribution in mind.
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uint64_t pos = low + ((static_cast<uint64_t>(high - low) /
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(arr[high] - arr[low])) *
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(number - arr[low]));
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/******************************************************************************
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* @brief The main function which implements binary search
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* @param arr vector to be searched in
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* @param number value to be searched
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* @returns integer index of `number` in vector `arr`
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*******************************************************************************/
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uint64_t interpolationSearch(const std::vector<uint64_t> &arr,
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uint64_t number) {
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uint64_t size = arr.size();
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uint64_t low = 0, high = (size - 1);
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if (arr[pos] == number) {
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return pos; // Condition of target found
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}
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if (arr[pos] < number) {
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low = pos + 1; // If x is larger, x is in upper part
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}
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else {
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high = pos - 1; // If x is smaller, x is in the lower part
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}
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// Since vector is sorted, an element present in array must be in range
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// defined by corner
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while (low <= high && number >= arr[low] && number <= arr[high]) {
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if (low == high) {
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if (arr[low] == number) {
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return low;
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}
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return -1;
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}
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// Probing the position with keeping uniform distribution in mind.
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uint64_t pos =
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low +
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((static_cast<uint64_t>(high - low) / (arr[high] - arr[low])) *
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(number - arr[low]));
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} // namespace interpolation_search
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if (arr[pos] == number) {
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return pos; // Condition of target found
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}
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if (arr[pos] < number) {
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low = pos + 1; // If x is larger, x is in upper part
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}
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else {
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high = pos - 1; // If x is smaller, x is in the lower part
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}
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}
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return -1;
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}
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} // namespace interpolation_search
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} // namespace search
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@ -94,13 +97,15 @@ namespace search {
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*******************************************************************************/
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void tests() {
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// testcase
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// array = [10, 12, 13, 16, 18, 19, 20, 21, 1, 2, 3, 4, 22, 23, 24, 33, 35, 42, 47] , Value = 33
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// should return 15
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std::vector<uint64_t> arr = {{10, 12, 13, 16, 18, 19, 20, 21, 1, 2, 3, 4, 22, 23, 24, 33, 35, 42, 47}};
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// array = [10, 12, 13, 16, 18, 19, 20, 21, 1, 2, 3, 4, 22, 23, 24, 33, 35,
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// 42, 47] , Value = 33 should return 15
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std::vector<uint64_t> arr = {{10, 12, 13, 16, 18, 19, 20, 21, 1, 2, 3, 4,
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22, 23, 24, 33, 35, 42, 47}};
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sort(arr.begin(), arr.end());
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uint64_t number = 33; // Element to be searched
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uint64_t number = 33; // Element to be searched
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uint64_t expected_answer = 15;
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uint64_t derived_answer = search::interpolation_search::interpolationSearch(arr, number);
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uint64_t derived_answer =
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search::interpolation_search::interpolationSearch(arr, number);
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std::cout << "Testcase : ";
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assert(derived_answer == expected_answer);
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std::cout << "Passed!";
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@ -110,8 +115,7 @@ void tests() {
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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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tests(); // Condition of target found
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int main() {
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tests(); // Condition of target found
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return 0;
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}
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