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/* Copyright (c) 2000, 2023, Oracle and/or its affiliates. This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License, version 2.0, as published by the Free Software Foundation. This program is also distributed with certain software (including but not limited to OpenSSL) that is licensed under separate terms, as designated in a particular file or component or in included license documentation. The authors of MySQL hereby grant you an additional permission to link the program and your derivative works with the separately licensed software that they have included with MySQL. Without limiting anything contained in the foregoing, this file, which is part of C Driver for MySQL (Connector/C), is also subject to the Universal FOSS Exception, version 1.0, a copy of which can be found at http://oss.oracle.com/licenses/universal-foss-exception. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License, version 2.0, for more details. You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA */ /* Code for handling of priority Queues. Implemention of queues from "Algoritms in C" by Robert Sedgewick. An optimisation of _downheap suggested in Exercise 7.51 in "Data Structures & Algorithms in C++" by Mark Allen Weiss, Second Edition was implemented by Mikael Ronstrom 2005. Also the O(N) algorithm of queue_fix was implemented. */ #include "mysys_priv.h" #include "my_sys.h" #include "mysys_err.h" #include <queues.h> int resize_queue(QUEUE *queue, uint max_elements); /* Init queue SYNOPSIS init_queue() queue Queue to initialise max_elements Max elements that will be put in queue offset_to_key Offset to key in element stored in queue Used when sending pointers to compare function max_at_top Set to 1 if you want biggest element on top. compare Compare function for elements, takes 3 arguments. first_cmp_arg First argument to compare function NOTES Will allocate max_element pointers for queue array RETURN 0 ok 1 Could not allocate memory */ int init_queue(QUEUE *queue, uint max_elements, uint offset_to_key, pbool max_at_top, int (*compare) (void *, uchar *, uchar *), void *first_cmp_arg) { DBUG_ENTER("init_queue"); if ((queue->root= (uchar **) my_malloc(key_memory_QUEUE, (max_elements+1)*sizeof(void*), MYF(MY_WME))) == 0) DBUG_RETURN(1); queue->elements=0; queue->compare=compare; queue->first_cmp_arg=first_cmp_arg; queue->max_elements=max_elements; queue->offset_to_key=offset_to_key; queue_set_max_at_top(queue, max_at_top); DBUG_RETURN(0); } /* Init queue, uses init_queue internally for init work but also accepts auto_extent as parameter SYNOPSIS init_queue_ex() queue Queue to initialise max_elements Max elements that will be put in queue offset_to_key Offset to key in element stored in queue Used when sending pointers to compare function max_at_top Set to 1 if you want biggest element on top. compare Compare function for elements, takes 3 arguments. first_cmp_arg First argument to compare function auto_extent When the queue is full and there is insert operation extend the queue. NOTES Will allocate max_element pointers for queue array RETURN 0 ok 1 Could not allocate memory */ int init_queue_ex(QUEUE *queue, uint max_elements, uint offset_to_key, pbool max_at_top, int (*compare) (void *, uchar *, uchar *), void *first_cmp_arg, uint auto_extent) { int ret; DBUG_ENTER("init_queue_ex"); if ((ret= init_queue(queue, max_elements, offset_to_key, max_at_top, compare, first_cmp_arg))) DBUG_RETURN(ret); queue->auto_extent= auto_extent; DBUG_RETURN(0); } /* Reinitialize queue for other usage SYNOPSIS reinit_queue() queue Queue to initialise max_elements Max elements that will be put in queue offset_to_key Offset to key in element stored in queue Used when sending pointers to compare function max_at_top Set to 1 if you want biggest element on top. compare Compare function for elements, takes 3 arguments. first_cmp_arg First argument to compare function NOTES This will delete all elements from the queue. If you don't want this, use resize_queue() instead. RETURN 0 ok EE_OUTOFMEMORY Wrong max_elements */ int reinit_queue(QUEUE *queue, uint max_elements, uint offset_to_key, pbool max_at_top, int (*compare) (void *, uchar *, uchar *), void *first_cmp_arg) { DBUG_ENTER("reinit_queue"); queue->elements=0; queue->compare=compare; queue->first_cmp_arg=first_cmp_arg; queue->offset_to_key=offset_to_key; queue_set_max_at_top(queue, max_at_top); resize_queue(queue, max_elements); DBUG_RETURN(0); } /* Resize queue SYNOPSIS resize_queue() queue Queue max_elements New max size for queue NOTES If you resize queue to be less than the elements you have in it, the extra elements will be deleted RETURN 0 ok 1 Error. In this case the queue is unchanged */ int resize_queue(QUEUE *queue, uint max_elements) { uchar **new_root; DBUG_ENTER("resize_queue"); if (queue->max_elements == max_elements) DBUG_RETURN(0); if ((new_root= (uchar **) my_realloc(key_memory_QUEUE, (void *)queue->root, (max_elements+1)*sizeof(void*), MYF(MY_WME))) == 0) DBUG_RETURN(1); set_if_smaller(queue->elements, max_elements); queue->max_elements= max_elements; queue->root= new_root; DBUG_RETURN(0); } /* Delete queue SYNOPSIS delete_queue() queue Queue to delete IMPLEMENTATION Just free allocated memory. NOTES Can be called safely multiple times */ void delete_queue(QUEUE *queue) { DBUG_ENTER("delete_queue"); my_free(queue->root); queue->root= NULL; DBUG_VOID_RETURN; } /* Code for insert, search and delete of elements */ void queue_insert(QUEUE *queue, uchar *element) { uint idx, next; assert(queue->elements < queue->max_elements); queue->root[0]= element; idx= ++queue->elements; /* max_at_top swaps the comparison if we want to order by desc */ while ((queue->compare(queue->first_cmp_arg, element + queue->offset_to_key, queue->root[(next= idx >> 1)] + queue->offset_to_key) * queue->max_at_top) < 0) { queue->root[idx]= queue->root[next]; idx= next; } queue->root[idx]= element; } /* Remove item from queue */ /* Returns pointer to removed element */ uchar *queue_remove(QUEUE *queue, uint idx) { uchar *element; my_bool use_downheap; assert(idx < queue->max_elements); /* If we remove the top element in the queue, we use _downheap else queue_fix to maintain the heap property. */ use_downheap = (idx == 0); element= queue->root[++idx]; /* Intern index starts from 1 */ queue->root[idx]= queue->root[queue->elements--]; if (use_downheap) _downheap(queue, idx); else queue_fix(queue); return element; } void _downheap(QUEUE *queue, uint idx) { uchar *element; uint elements,half_queue,offset_to_key, next_index; my_bool first= TRUE; uint start_idx= idx; offset_to_key=queue->offset_to_key; element=queue->root[idx]; half_queue=(elements=queue->elements) >> 1; while (idx <= half_queue) { next_index=idx+idx; if (next_index < elements && (queue->compare(queue->first_cmp_arg, queue->root[next_index]+offset_to_key, queue->root[next_index+1]+offset_to_key) * queue->max_at_top) > 0) next_index++; if (first && (((queue->compare(queue->first_cmp_arg, queue->root[next_index]+offset_to_key, element+offset_to_key) * queue->max_at_top) >= 0))) { queue->root[idx]= element; return; } queue->root[idx]=queue->root[next_index]; idx=next_index; first= FALSE; } next_index= idx >> 1; while (next_index > start_idx) { if ((queue->compare(queue->first_cmp_arg, queue->root[next_index]+offset_to_key, element+offset_to_key) * queue->max_at_top) < 0) break; queue->root[idx]=queue->root[next_index]; idx=next_index; next_index= idx >> 1; } queue->root[idx]=element; } /* Fix heap when every element was changed. */ void queue_fix(QUEUE *queue) { uint i; for (i= queue->elements >> 1; i > 0; i--) _downheap(queue, i); } #ifdef MAIN /* A test program for the priority queue implementation. It can also be used to benchmark changes of the implementation Build by doing the following in the directory mysys make queues ./queues Written by Mikael Ronström, 2005 */ static uint num_array[1025]; static uint tot_no_parts= 0; static uint tot_no_loops= 0; static uint expected_part= 0; static uint expected_num= 0; static my_bool max_ind= 0; static my_bool fix_used= 0; static ulonglong start_time= 0; static my_bool is_divisible_by(uint num, uint divisor) { uint quotient= num / divisor; if (quotient * divisor == num) return TRUE; return FALSE; } void calculate_next() { uint part= expected_part, num= expected_num; uint no_parts= tot_no_parts; if (max_ind) { do { while (++part <= no_parts) { if (is_divisible_by(num, part) && (num <= ((1 << 21) + part))) { expected_part= part; expected_num= num; return; } } part= 0; } while (--num); } else { do { while (--part > 0) { if (is_divisible_by(num, part)) { expected_part= part; expected_num= num; return; } } part= no_parts + 1; } while (++num); } } void calculate_end_next(uint part) { uint no_parts= tot_no_parts, num; num_array[part]= 0; if (max_ind) { expected_num= 0; for (part= no_parts; part > 0 ; part--) { if (num_array[part]) { num= num_array[part] & 0x3FFFFF; if (num >= expected_num) { expected_num= num; expected_part= part; } } } if (expected_num == 0) expected_part= 0; } else { expected_num= 0xFFFFFFFF; for (part= 1; part <= no_parts; part++) { if (num_array[part]) { num= num_array[part] & 0x3FFFFF; if (num <= expected_num) { expected_num= num; expected_part= part; } } } if (expected_num == 0xFFFFFFFF) expected_part= 0; } return; } static int test_compare(void *null_arg, uchar *a, uchar *b) { uint a_num= (*(uint*)a) & 0x3FFFFF; uint b_num= (*(uint*)b) & 0x3FFFFF; uint a_part, b_part; (void) null_arg; if (a_num > b_num) return +1; if (a_num < b_num) return -1; a_part= (*(uint*)a) >> 22; b_part= (*(uint*)b) >> 22; if (a_part < b_part) return +1; if (a_part > b_part) return -1; return 0; } my_bool check_num(uint num_part) { uint part= num_part >> 22; uint num= num_part & 0x3FFFFF; if (part == expected_part) if (num == expected_num) return FALSE; printf("Expect part %u Expect num 0x%x got part %u num 0x%x max_ind %u fix_used %u \n", expected_part, expected_num, part, num, max_ind, fix_used); return TRUE; } void perform_insert(QUEUE *queue) { uint i= 1, no_parts= tot_no_parts; uint backward_start= 0; expected_part= 1; expected_num= 1; if (max_ind) backward_start= 1 << 21; do { uint num= (i + backward_start); if (max_ind) { while (!is_divisible_by(num, i)) num--; if (max_ind && (num > expected_num || (num == expected_num && i < expected_part))) { expected_num= num; expected_part= i; } } num_array[i]= num + (i << 22); if (fix_used) queue_element(queue, i-1)= (uchar*)&num_array[i]; else queue_insert(queue, (uchar*)&num_array[i]); } while (++i <= no_parts); if (fix_used) { queue->elements= no_parts; queue_fix(queue); } } my_bool perform_ins_del(QUEUE *queue, my_bool max_ind) { uint i= 0, no_loops= tot_no_loops, j= tot_no_parts; do { uint num_part= *(uint*)queue_top(queue); uint part= num_part >> 22; if (check_num(num_part)) return TRUE; if (j++ >= no_loops) { calculate_end_next(part); queue_remove(queue, (uint) 0); } else { calculate_next(); if (max_ind) num_array[part]-= part; else num_array[part]+= part; queue_top(queue)= (uchar*)&num_array[part]; queue_replaced(queue); } } while (++i < no_loops); return FALSE; } my_bool do_test(uint no_parts, uint l_max_ind, my_bool l_fix_used) { QUEUE queue; my_bool result; max_ind= l_max_ind; fix_used= l_fix_used; init_queue(&queue, no_parts, 0, max_ind, test_compare, NULL); tot_no_parts= no_parts; tot_no_loops= 1024; perform_insert(&queue); result= perform_ins_del(&queue, max_ind); if (result) { printf("Error\n"); delete_queue(&queue); return TRUE; } delete_queue(&queue); return FALSE; } static void start_measurement() { start_time= my_getsystime(); } static void stop_measurement() { ulonglong stop_time= my_getsystime(); uint time_in_micros; stop_time-= start_time; stop_time/= 10; /* Convert to microseconds */ time_in_micros= (uint)stop_time; printf("Time expired is %u microseconds \n", time_in_micros); } static void benchmark_test() { QUEUE queue_real; QUEUE *queue= &queue_real; uint i, add; fix_used= TRUE; max_ind= FALSE; tot_no_parts= 1024; init_queue(queue, tot_no_parts, 0, max_ind, test_compare, NULL); /* First benchmark whether queue_fix is faster than using queue_insert for sizes of 16 partitions. */ for (tot_no_parts= 2, add=2; tot_no_parts < 128; tot_no_parts+= add, add++) { printf("Start benchmark queue_fix, tot_no_parts= %u \n", tot_no_parts); start_measurement(); for (i= 0; i < 128; i++) { perform_insert(queue); queue_remove_all(queue); } stop_measurement(); fix_used= FALSE; printf("Start benchmark queue_insert\n"); start_measurement(); for (i= 0; i < 128; i++) { perform_insert(queue); queue_remove_all(queue); } stop_measurement(); } /* Now benchmark insertion and deletion of 16400 elements. Used in consecutive runs this shows whether the optimised _downheap is faster than the standard implementation. */ printf("Start benchmarking _downheap \n"); start_measurement(); perform_insert(queue); for (i= 0; i < 65536; i++) { uint num, part; num= *(uint*)queue_top(queue); num+= 16; part= num >> 22; num_array[part]= num; queue_top(queue)= (uchar*)&num_array[part]; queue_replaced(queue); } for (i= 0; i < 16; i++) queue_remove(queue, (uint) 0); queue_remove_all(queue); stop_measurement(); delete_queue(queue); } /** Bug#30301356 - SOME EVENTS ARE DELAYED AFTER DROPPING EVENT Test that ensures heap property is not violated if we remove an element from an interior node. In the below test, we remove the element 90 at index 6 in the array. After 90 is removed, the parent node's of the deleted node violates the heap property with the queue_remove function. We need to ensure the heap property is satisfied by call queue_fix after removal from an interior node in the queue_remove() function. */ // Element comparator for comparison of elements in heap. static int element_comparator(void *null_arg MY_ATTRIBUTE((unused)), uchar *lhs, uchar *rhs) { int lkey = *(int *)lhs; int rkey = *(int *)rhs; return (lkey < rkey ? -1 : (lkey > rkey ? 1 : 0)); } static my_bool is_tree_heap(uint index, QUEUE *queue) { uint left, right; if (index > queue->elements) return TRUE; left = 2 * index; right = 2 * index + 1; if (left <= queue->elements && element_comparator(NULL, queue->root[index], queue->root[left]) == 1) return FALSE; if (left <= queue->elements && element_comparator(NULL, queue->root[index], queue->root[right]) == 1) return FALSE; return is_tree_heap(left, queue) && is_tree_heap(right, queue); } // Check if queue is a valid heap my_bool is_queue_valid(QUEUE *queue) { unsigned i; for(i = 0; i <= queue->elements; i++) if (queue->root[i] == NULL) return FALSE; return is_tree_heap(1, queue); } static void remove_queue_element_test() { QUEUE queue; int keys[11] = {60, 65, 84, 75, 80, 85, 90, 95, 100, 105, 82}; int i; init_queue(&queue, 11, 0, 0, element_comparator, NULL); for (i = 0; i < 11; i++) queue_insert(&queue, (uchar*)&keys[i]); assert(is_queue_valid(&queue)); queue_remove(&queue, 6); assert(is_queue_valid(&queue)); delete_queue(&queue); } int main() { int i, add= 1; for (i= 1; i < 1024; i+=add, add++) { printf("Start test for priority queue of size %u\n", i); if (do_test(i, 0, 1)) return -1; if (do_test(i, 1, 1)) return -1; if (do_test(i, 0, 0)) return -1; if (do_test(i, 1, 0)) return -1; } benchmark_test(); remove_queue_element_test(); printf("OK\n"); return 0; } #endif