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| − | {{GPU610/DPS915 Index | 20181}}
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| − | = The Bean Counters =
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| − | ''Beans are a cheap commodity, so to count them is a rather silly thing to do. A "bean counter" is one who nitpicks over small things in order to save costs.''
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| − |
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| − | == Team Members ==
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| − | # [mailto:ytian38@myseneca.ca?/subject=GPU610 Yankai Tian]
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| − | # [mailto:cansin@myseneca.ca?/subject=GPU610 Jay Ansin]
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| − |
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| − | [mailto:ytian38@myseneca.ca,cansin@myseneca.ca?/subject=GPU610 Email All]
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| − |
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| − |
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| − | == Projects ==
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| − | # sudoku - [http://www.andrew.cmu.edu/user/astian/ by Tian Debebe (CMU)] ''not affiliated with Yankai whatsoever''
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| − | # '''sorting algorithms''' - [http://www.cprogramming.com/tutorial/computersciencetheory/sortcomp.html Alex Allain cprogramming.com], [https://www.toptal.com/developers/sorting-algorithms Animations]
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| − |
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| − |
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| − |
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| − | = Progress =
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| − |
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| − | == A1: Select and Assess ==
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| − | There wasn't a project source code for this. Everything was written by yours truly. etc. etc. etc. The 10 algorithms tested are:
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| − |
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| − | === bubble sort ===
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| − | template<typename T>
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| − | inline void bubbleSort(T * array, int size) {
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| − | for (int i = 0; i < size; i++) {
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| − | for (int j = 0; j < size - 1; j++) {
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| − | if (array[j] > array[j + 1]) {
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| − | T swap = array[j + 1];
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| − | array[j + 1] = array[j];
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| − | array[j] = swap;
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| − | }
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| − | }
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| − | }
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| − | }
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| − | ==== Results ====
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| − |
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| − |
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| − |
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| − | === selection sort ===
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| − | template<typename T>
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| − | inline void selectionSort(T * array, int size) {
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| − | for (int i = 0; i < size; i++) {
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| − | int min = i;
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| − | for (int j = i; j < size; j++) {
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| − | if (array[min] > array[j])
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| − | min = j;
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| − | }
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| − | T temp = array[i];
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| − | array[i] = array[min];
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| − | array[min] = temp;
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| − | }
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| − | }
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| − |
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| − | ===== insertion sort =====
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| − | template<typename T>
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| − | inline void insertionSort(T * array, int size) {
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| − | T curr;
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| − | int j;
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| − | for (int i = 0; i < size; i++) {
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| − | curr = array[i];
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| − | for (j = i; j > 0 && array[j - 1] > curr; j--) {
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| − | array[j] = array[j - 1];
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| − | }
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| − | array[j] = curr;
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| − | }
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| − | }
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| − |
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| − | ===== merge sort =====
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| − | template<typename T>
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| − | inline void mergeSort(T * array, int size) {
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| − | T * temp = new T[size];
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| − | mergeSort(array, temp, 0, size - 1);
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| − | delete[] temp;
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| − | }
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| − |
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| − | template<typename T>
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| − | inline void mergeSort(T * array, T * temp, int start, int end) {
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| − | if (start < end) {
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| − | int mid = (start + end) / 2;
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| − | mergeSort(array, temp, start, mid);
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| − | mergeSort(array, temp, mid + 1, end);
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| − | merge(array, temp, start, mid + 1, end);
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| − | }
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| − | }
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| − |
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| − | template<typename T>
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| − | inline void merge(T * array, T * temp, int startA, int startB, int endB) {
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| − | int aptr = startA;
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| − | int bptr = startB;
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| − | int idx = startA;
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| − | while (aptr < startB && bptr < endB + 1) {
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| − | if (array[aptr] < array[bptr]) {
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| − | temp[idx] = array[aptr];
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| − | idx++;
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| − | aptr++;
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| − | }
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| − | else {
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| − | temp[idx++] = array[bptr];
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| − | bptr++;
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| − | }
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| − | }
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| − | while (aptr<startB) {
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| − | temp[idx] = array[aptr];
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| − | idx++;
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| − | aptr++;
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| − | }
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| − | while (bptr < endB + 1) {
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| − | temp[idx++] = array[bptr];
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| − | bptr++;
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| − | }
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| − |
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| − | for (int i = startA; i <= endB; i++) {
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| − | array[i] = temp[i];
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| − | }
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| − | }
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| − |
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| − | ===== heap sort =====
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| − | template<typename T>
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| − | inline void heapSort(T * array, int size) {
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| − | for (int i = size / 2 - 1; i >= 0; i--) {
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| − | heapify(array, size, i);
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| − | }
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| − | for (int i = size - 1; i >= 0; i--) {
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| − | std::swap(array[0], array[i]);
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| − | heapify(array, i, 0);
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| − | }
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| − | }
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| − |
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| − | template <typename T>
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| − | void heapify(T * array, int size, int i) {
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| − | int largest = i;
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| − | int left = 2 * i + 1;
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| − | int right = 2 * i + 2;
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| − | if (left < size && array[left] > array[largest])
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| − | largest = left;
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| − |
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| − | if (right < size && array[right] > array[largest])
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| − | largest = right;
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| − |
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| − | if (largest != i) {
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| − | std::swap(array[i], array[largest]);
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| − | heapify(array, size, largest);
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| − | }
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| − | }
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| − |
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| − | ===== quick sort =====
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| − | template<typename T>
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| − | inline void quickSort(T * array, int size) {
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| − | quickSort(array, 0, size - 1);
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| − | }
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| − |
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| − | template<typename T>
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| − | inline void quickSort(T * array, int left, int right) {
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| − | if (right - left <= 3) {
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| − | insertionSort(array, left, right);
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| − | }
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| − | else {
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| − | int mid = (left + right) / 2;
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| − | std::swap(array[right], array[mid]);
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| − | int pivotpt = right;
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| − | int i = left;
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| − | int j = right - 1;
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| − | T pivot = array[pivotpt];
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| − | while (i<j) {
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| − | while (i< right - 1 && array[i]<pivot) i++;
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| − | while (j > 0 && array[j]>pivot) j--;
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| − | if (i<j)
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| − | std::swap(array[i++], array[j--]);
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| − | }
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| − | if (i == j && array[i] < array[pivotpt])
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| − | i++;
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| − | std::swap(array[i], array[pivotpt]);
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| − | quickSort(array, left, i - 1);
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| − | quickSort(array, i + 1, right);
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| − | }
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| − | }
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| − |
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| − | ===== counting sort =====
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| − | template<typename T>
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| − | inline void countingSort(T * array, int size, int RANGE) {
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| − | T output[size];
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| − | int count[RANGE + 1];
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| − | std::memset(count, 0, sizeof(count));
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| − |
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| − | for (int i = 0; array[i]; ++i) {
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| − | ++count[(int)array[i]];
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| − | }
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| − |
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| − | for (int i = 1; i <= RANGE; ++i) {
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| − | count[i] += count[i-1];
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| − | }
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| − |
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| − | for (int i = 0; array[i]; ++i) {
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| − | output[(int)count[(int)array[i]] - 1] = array[i];
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| − | --count[(int)array[i]];
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| − | }
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| − |
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| − | for (int i = 0; i < size; i++) {
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| − | array[i] = output[i];
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| − | }
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| − | }
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| − |
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| − | ===== radix sort =====
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| − | template<typename T>
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| − | inline void radixSort(T * array, int size) {
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| − | T maxNumber = array[0];
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| − | for (int i = 1; i < size; i++) {
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| − | if (array[i] > maxNumber)
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| − | maxNumber = array[i];
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| − | }
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| − |
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| − | T exp = 1;
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| − | T * temp = new T[size];
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| − | while (maxNumber / exp > 0) {
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| − | T decimalBucket[10] = { 0 };
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| − |
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| − | for (int i = 0; i < size; i++)
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| − | decimalBucket[(int)array[i] / (int)exp % 10]++;
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| − |
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| − | for (int i = 1; i < 10; i++)
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| − | decimalBucket[i] += decimalBucket[i - 1];
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| − |
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| − | for (int i = size - 1; i >= 0; i--)
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| − | temp[(int)--decimalBucket[(int)array[i] / (int)exp % 10]] = array[i];
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| − |
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| − | for (int i = 0; i < size; i++)
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| − | array[i] = temp[i];
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| − |
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| − | exp *= 10;
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| − | }
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| − | }
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| − |
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| − | ===== bucket sort =====
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| − | template<typename T>
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| − | inline void bucketSort(T * array, int size, int bucketSize) {
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| − | std::vector<T> buckets[bucketSize];
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| − | T max = getMax(array, size);
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| − | int divider = std::ceil(T(max + 1) / bucketSize);
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| − |
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| − | for (int i = 0; i < size; i++) {
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| − | int j = floor(array[i] / divider);
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| − | buckets[j].push_back(array[i]);
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| − | }
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| − |
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| − | for (int i = 0; i < bucketSize; i++) {
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| − | sort(buckets[i].begin(), buckets[i].end());
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| − | }
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| − |
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| − | int k = 0;
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| − | for (int i = 0; i < bucketSize; i++) {
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| − | for (int j = 0; j < buckets[i].size(); j++) {
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| − | array[k++] = buckets[i][j];
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| − | }
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| − | }
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| − | }
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| − |
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| − | ===== shell sort =====
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| − | template <typename T>
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| − | void shellSort(T * array, int size) {
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| − | T temp;
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| − | for (int gap = size / 2; gap > 0; gap /= 2) {
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| − | for (int i = gap; i < size; i += 1) {
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| − | temp = array[i];
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| − | int j;
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| − | for (j = i; j >= gap && array[j - gap] > temp; j -= gap) {
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| − | array[j] = array[j - gap];
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| − | }
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| − | array[j] = temp;
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| − | }
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| − | }
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| − | }
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| − |
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| − |
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| − |
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| − | == A2: Parallelize ==
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| − |
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| − | ===== bubble sort =====
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| − |
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| − | ===== selection sort =====
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| − |
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| − | ===== insertion sort =====
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| − |
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| − |
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| − |
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| − |
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| − | == A3: Optimize ==
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| − |
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| − | ===== bubble sort =====
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| − |
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| − | ===== selection sort =====
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| − |
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| − | ===== insertion sort =====
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