diff --git a/EndSem-DijkstraAlgorithm/200010003.c b/EndSem-DijkstraAlgorithm/200010003.c new file mode 100644 index 0000000..8e1768b --- /dev/null +++ b/EndSem-DijkstraAlgorithm/200010003.c @@ -0,0 +1,211 @@ + +// PROGRAM TO IMPLEMENT DIJKSTRA ALGORITHM USING MIN-PRIORITY QUEUE +#include +#include +#include +#define MAX 1000000 // note: lots of comments initially, marginally less within functions + +void insert_into_pq(); // several functions to make minheap management easier! +void heapify_up(); // to be used when inserting +void heapify_down(); // to be used when extracting +int parent(); // to return index of priority-parent of some node k +int leftc(); // to return index of priority-leftchild of some node k +int rightc(); // to return index of priority-right-child of some node k +int extract_min(); // to extract min element of priority queue + re-adjust it + +int distance[MAX]; // distances of points from the source node +int heapsize; // size of heap; global variable +int priority[MAX]; // array where index = priority; value = vertex +int exist[MAX]; // if vertex exists in input file at all or not + +struct vertex{ // for vertex of graph, or rather a member of adj.list + int data; + int weight; + struct vertex *next; +}; +struct vertex *allvert[MAX]; + + +int main(int argc, char *argv[]) +{ + FILE *fp; // to empty the output file + fp = fopen("dijkstra.txt","w"); + fclose(fp); + + if(argc>3) // argc contains argument count. Argument count should be 3 for execution to proceed in this case + { // the arguments are stored using pointer array *argv[] + printf("too many arguments. enter exactly one file name and source vertex."); + exit(1); + } + else if(argc<3) + { + printf("too few arguments. enter exactly one file name and source vertex."); + exit(2); + } + + int source = atoi(argv[2]); // get source + + FILE *infile; + infile = fopen(argv[1], "r"); + if(infile == NULL) + { + printf("input file does not exist\n"); + exit(3); + } + + int i; + for(i = 0; i < MAX; i++) // set initial values of all global arrays + { + exist[i] = 0; + distance[i] = INT_MAX; + allvert[i] = NULL; + priority[i] = -1; + } + priority[0] = INT_MAX; // for our purposes, we begin priority minheap at index 1 + + // To initialize single source + distance[source] = 0; // set distance of source node to 0 + + + int u, v, w; + while(fscanf(infile, "%d %d %d\n", &u, &v, &w) != EOF) + { + struct vertex *newnode = malloc(sizeof(struct vertex)); + if(newnode != NULL) // check if memory is available + { + newnode->data = v; + newnode->weight = w; + } + else{ + printf("\nMemory Insufficient!"); + exit(4); + } + newnode->next = allvert[u]; // append newnode v at beginning of adjacency list of u + allvert[u] = newnode; + if(exist[u] == 0) // if one of the vertices hasn't been encountered yet, + { // then make its exist[] value 1, and insert into PriotityQueue + exist[u] = 1; + insert_into_pq(u); + } + if(exist[v] == 0) + { + exist[v] = 1; + insert_into_pq(v); + } + } + fclose(infile); + + while(heapsize > 0) // main part: core of Dijkstra Algorithm + { + u = extract_min(); // get min element of priority queue + if(distance[u] == INT_MAX) + { + continue; // this 'continue' won't occur unless vertex is disconnected from source node + } + struct vertex *temp; + temp = allvert[u]; + while(temp != NULL) // relax all edges from u, by going through its adj list + { + v = temp->data; + if(distance[v] > (distance[u] + temp->weight)) + { + distance[v] = distance[u] + temp->weight; // If there's a faster path to v, + for(i = 0;; i++) // look for priority index of v + { + if(priority[i] == v) + { + break; + } + } + heapify_up(i); // re-heapify-up, based on its new shortest-distance + } + temp = temp->next; + } + } + + FILE *outfile; + outfile = fopen("dijkstra.txt", "a+"); + for(i = 0; i < MAX; i++) + { + if(exist[i] == 1) // if vertex exists, print to file + { + if(distance[i] == INT_MAX) + { + fprintf(outfile, "%d -1\n", i); + } + else{ + fprintf(outfile, "%d %d\n", i, distance[i]); + } + } + } + fclose(outfile); + return 0; +} + +void insert_into_pq(int vert) // increments heap size and takes value of vertex (data) +{ + priority[++heapsize] = vert; + heapify_up(heapsize); // heapify-up to ensure it is still min-heap +} + +void heapify_up(int c) +{ + int temp, par; + while((c > 1) && (distance[priority[c]] < distance[priority[parent(c)]])) + { // if distance of a priority-parent is more than that of its child, + par = parent(c); // then exchange priorities. + temp = priority[c]; + priority[c] = priority[par]; + priority[par] = temp; + c = par; + } // until you reach root node (index 1) or satisfy minheap condition +} + +int extract_min() +{ + int min = priority[1]; // get element with most priority (least distance) + priority[1] = priority[heapsize]; // place last node at root, then re-heapify-down from root (1) + priority[heapsize] = INT_MAX; + heapsize--; + heapify_down(1); + return min; +} + +void heapify_down(int i) +{ + int min = i; + int lc = leftc(i); + if((lc <= heapsize) && (distance[priority[lc]] < distance[priority[min]])) // check if left child is smaller than the node itself + { + min = lc; + } + int rc = rightc(i); + if((rc <= heapsize) && (distance[priority[rc]] < distance[priority[min]])) // if right child is smaller than left child, swap with right child + { + min = rc; + } + + if(min != i) // if there is balancing to be done (i.e. any child's distance < parent's distance) + { + int temp = priority[i]; + priority[i] = priority[min]; + priority[min] = temp; + heapify_down(min); // recursively exchange with min-child until heap is level-wise sorted + } +} + +int parent(int c) // parent of node k is at floor(k/2). can be type-casted. +{ + int par = (int)c/2; + return par; +} +int leftc(int k) // left child of a node k is at 2k +{ + int c = (2 * k); + return c; +} +int rightc(int k) // right child of a node k is at 2k + 1 +{ + int c = (2 * k) + 1; + return c; +} \ No newline at end of file diff --git a/EndSem-DijkstraAlgorithm/EndSem Assignment Statement.pdf b/EndSem-DijkstraAlgorithm/EndSem Assignment Statement.pdf new file mode 100644 index 0000000..624ed76 Binary files /dev/null and b/EndSem-DijkstraAlgorithm/EndSem Assignment Statement.pdf differ diff --git a/EndSem-DijkstraAlgorithm/dijkstra1.txt b/EndSem-DijkstraAlgorithm/dijkstra1.txt new file mode 100644 index 0000000..07eb504 --- /dev/null +++ b/EndSem-DijkstraAlgorithm/dijkstra1.txt @@ -0,0 +1,2205 @@ +1200 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diff --git a/MainQuiz1/MQ1P2- .c files/200010003_Q3.c b/MainQuiz1-Stacks,Queues,CSLL/MQ1P2- .c files/200010003_Q3.c similarity index 100% rename from MainQuiz1/MQ1P2- .c files/200010003_Q3.c rename to MainQuiz1-Stacks,Queues,CSLL/MQ1P2- .c files/200010003_Q3.c diff --git a/MainQuiz1/Main Quiz#1-Assignment-Part2.pdf b/MainQuiz1-Stacks,Queues,CSLL/Main Quiz#1-Assignment-Part2.pdf similarity index 100% rename from MainQuiz1/Main Quiz#1-Assignment-Part2.pdf rename to MainQuiz1-Stacks,Queues,CSLL/Main Quiz#1-Assignment-Part2.pdf diff --git a/MainQuiz2/200010003.c b/MainQuiz2-BellmanFord/200010003.c similarity index 100% rename from MainQuiz2/200010003.c rename to MainQuiz2-BellmanFord/200010003.c diff --git a/MainQuiz2/Main Quiz#2-Assignment-Part2.pdf b/MainQuiz2-BellmanFord/Main Quiz#2-Assignment-Part2.pdf similarity index 100% rename from MainQuiz2/Main Quiz#2-Assignment-Part2.pdf rename to MainQuiz2-BellmanFord/Main Quiz#2-Assignment-Part2.pdf diff --git a/MainQuiz2/input1.graph 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