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ISAM.hpp
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ISAM.hpp
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//
// Created by juandiego on 5/1/23.
//
#ifndef PROJECT_DATASET_ISAM_HPP
#define PROJECT_DATASET_ISAM_HPP
#include "pages.hpp"
#define INT_POW(BASE, EXP) (static_cast<int>(std::pow(BASE, EXP)))
#define OPEN_FILES(MODE) \
index_file1.open(index_file_name(1), MODE); \
index_file2.open(index_file_name(2), MODE); \
index_file3.open(index_file_name(3), MODE); \
data_file.open(data_file_name, MODE)
#define CLOSE_FILES \
index_file1.close(); \
index_file2.close(); \
index_file3.close(); \
data_file.close()
template<bool PrimaryKey,
typename KeyType,
typename RecordType,
typename Index = std::function<KeyType(RecordType &)>,
typename Greater = std::greater<KeyType>>
class ISAM {
private:
/* Data pages are stored @ the last level */
std::fstream data_file;
std::string data_file_name; //< The name of the last level file
std::string heap_file_name; //< The name of the heap file
std::string attribute; //< The name of the indexing attribute
/* Three levels of index files that stores index pages */
std::fstream index_file1;
std::fstream index_file2;
std::fstream index_file3;
std::function<std::string(int)> index_file_name = [&](int i) {
return heap_file_name + "_" + attribute + "_index_" + std::to_string(i) + ".isam";
}; //< Gets the name of the ith index file
std::ios::openmode flags = std::ios_base::in | std::ios_base::out | std::ios_base::binary; //< Open mode flags
Index index; //< Receives a `RecordType` and returns its `KeyType` associated
Greater greater; //< Receives two `RecordTypes` and returns `true` if a.key > b.key and `false` otherwise
int64_t locate(KeyType key) {
/************************************** third (top) index level **********************************************/
IndexPage<KeyType> index1;
index_file1.seekg(std::ios::beg);
index_file1.read((char *) &index1, SIZE(IndexPage<KeyType>));//< loads the unique index1 page in RAM
int64_t descend_to_index_2 = index1.locate(key, greater);
//^ searches the physical pointer to descend to the second level
/************************************** second index level ****************************************************/
IndexPage<KeyType> index2;
index_file2.seekg(descend_to_index_2);
index_file2.read((char *) &index2, SIZE(IndexPage<KeyType>));//< loads an index2 page in RAM
int64_t descend_to_index_3 = index2.locate(key, greater);
//^ searches the pointer to descend to the last index level
/************************************** first (base) index level **********************************************/
IndexPage<KeyType> index3;
index_file3.seekg(descend_to_index_3);
index_file3.read((char *) &index3, SIZE(IndexPage<KeyType>));//< loads an index3 page in RAM
int64_t page_position = index3.locate(key, greater);
//^ searches the physical pointer to descend to a leaf page
return page_position;
}
void init_data_pages(std::vector<std::pair<RecordType, int64_t>> &sorted_records, int n_pages) {
int l3 = 0, l2 = 0, l1 = 0;
int k3 = 0, k2 = 0, k1 = 0;
IndexPage<KeyType> level3_index_page;
IndexPage<KeyType> level2_index_page;
IndexPage<KeyType> level1_index_page;
for (int i = 0; i < n_pages; ++i) {
DataPage<Pair<KeyType>> data_page;
for (int j = 0; j < N<Pair<KeyType>>; ++j) {
std::pair<RecordType, int64_t> pair = sorted_records[(i * N<Pair<KeyType>>) + j];
data_page.records[j] = Pair<KeyType>(index(pair.first), pair.second);
}
data_page.n_records = N<Pair<KeyType>>;
data_file.write((char *) &data_page, SIZE(DataPage<Pair<KeyType>>));
/* This part of the code stores the key of the first record of each database page in vectors in order to */
/* assign the keys in each index level later in the process of ISAM-tree initialization. */
if (i == 0) {//< Skips the first database page (not belongs to any key level)
continue;
}
auto key = data_page.records[0].key;
if (l3 < M<KeyType>) {
func::copy(level3_index_page.keys[l3], key);
level3_index_page.children[l3] = (k3++) * SIZE(DataPage<Pair<KeyType>>);
++l3;
} else {
level3_index_page.children[l3] = (k3++) * SIZE(DataPage<Pair<KeyType>>);
level3_index_page.n_keys = M<KeyType>;
index_file3.write((char *) &level3_index_page, SIZE(IndexPage<KeyType>));
l3 = 0;
if (l2 < M<KeyType>) {
func::copy(level2_index_page.keys[l2], key);
level2_index_page.children[l2] = (k2++) * SIZE(IndexPage<KeyType>);
++l2;
} else {
level2_index_page.children[l2] = (k2++) * SIZE(IndexPage<KeyType>);
level2_index_page.n_keys = M<KeyType>;
index_file2.write((char *) &level2_index_page, SIZE(IndexPage<KeyType>));
l2 = 0;
func::copy(level1_index_page.keys[l1], key);
level1_index_page.children[l1] = (k1++) * SIZE(IndexPage<KeyType>);
++l1;
}
}
}
level3_index_page.children[l3] = k3 * SIZE(DataPage<Pair<KeyType>>);
level3_index_page.n_keys = M<KeyType>;
index_file3.write((char *) &level3_index_page, SIZE(IndexPage<KeyType>));
level2_index_page.children[l1] = k2 * SIZE(IndexPage<KeyType>);
level2_index_page.n_keys = M<KeyType>;
index_file2.write((char *) &level2_index_page, SIZE(IndexPage<KeyType>));
level1_index_page.children[l1] = k1 * SIZE(IndexPage<KeyType>);
level1_index_page.n_keys = M<KeyType>;
index_file1.write((char *) &level1_index_page, SIZE(IndexPage<KeyType>));
}
void locate_insertion_pk(int64_t seek, KeyType key, int64_t &non_full, int64_t &prev) {
DataPage<Pair<KeyType>> page;
do {
data_file.seekg(seek);
data_file.read((char *) &page, SIZE(DataPage<Pair<KeyType>>));
for (int i = 0; i < page.n_records; ++i) {
if (!greater(page.records[i].key, key) && !greater(key, page.records[i].key)) {
CLOSE_FILES;
throw std::invalid_argument("Error: ISAM cannot insert a repeated primary key.");
}
}
non_full = (page.n_records < N<Pair<KeyType>> && non_full == DISK_NULL) ? seek : non_full;
prev = seek;
seek = page.next;
} while (seek != DISK_NULL);
}
void locate_insertion_non_pk(int64_t seek, int64_t &non_full, int64_t &prev) {
DataPage<Pair<KeyType>> page;
do {
data_file.seekg(seek);
data_file.read((char *) &page, SIZE(DataPage<Pair<KeyType>>));
if (page.n_records < N<Pair<KeyType>>) {
non_full = seek;
return;
}
prev = seek;
seek = page.next;
} while (seek != DISK_NULL);
}
void search(KeyType key, std::vector<int64_t> &pointers) {
// locates the physical position of the database page where the record to be searched is
int64_t seek = this->locate(key);
DataPage<Pair<KeyType>> page;
do {
data_file.seekg(seek);
data_file.read((char *) &page, SIZE(DataPage<Pair<KeyType>>));
for (int i = 0; i < page.n_records; ++i) { //< iterates the leaf records in the current page
if (!greater(page.records[i].key, key) && !greater(key, page.records[i].key)) {
// if the `record.key` equals `key`, pushes to the `vector`
pointers.push_back(page.records[i].data_pointer);
if (PrimaryKey) {// if indexing a primary-key, it breaks the loop (the unique record was found).
return;
}
}
}
seek = page.next; //< `page.next` probably points to an overflow page (or to nothing)
} while (seek != DISK_NULL);
}
void range_search(KeyType lower_bound, KeyType upper_bound, std::vector<int64_t> &pointers) {
// locates the physical position of the database page where the `lower_bound` is located
int64_t seek = this->locate(lower_bound);
int64_t n_static_pages = INT_POW(M<KeyType> + 1, 3);
DataPage<Pair<KeyType>> page;
bool any_found;
do {
any_found = false;
data_file.seekg(seek);
data_file.read((char *) &page, SIZE(DataPage<Pair<KeyType>>));
for (int i = 0; i < page.n_records; ++i) {
if (!greater(lower_bound, page.records[i].key) && !greater(page.records[i].key, upper_bound)) {
pointers.push_back(page.records[i].data_pointer);
any_found = true;
}
}
DataPage<Pair<KeyType>> overflow;
int64_t seek_overflow = page.next;
while (seek_overflow != DISK_NULL) {
data_file.seekg(seek_overflow);
data_file.read((char *) &overflow, SIZE(DataPage<Pair<KeyType>>));
for (int j = 0; j < overflow.n_records; ++j) {
if (!greater(lower_bound, overflow.records[j].key) &&
!greater(overflow.records[j].key, upper_bound)) {
pointers.push_back(overflow.records[j].data_pointer);
any_found = true;
}
}
seek_overflow = overflow.next;
}
seek += SIZE(DataPage<Pair<KeyType>>);
} while (any_found && (seek != n_static_pages * SIZE(DataPage<Pair<KeyType>>)));
}
void search_records(std::vector<int64_t> &pointers, std::vector<RecordType> &records) {
records.reserve(pointers.size());
std::fstream heap_file(heap_file_name, flags);
for (int64_t pointer: pointers) {
RecordType record;
heap_file.seekg(pointer);
heap_file.read((char *) &record, SIZE(RecordType));
if (!record.removed) {
records.push_back(record);
}
}
heap_file.close();
}
void remove_records(std::vector<int64_t> &pointers) {
std::fstream heap_file(heap_file_name, flags);
for (int64_t pointer: pointers) {
RecordType record;
heap_file.seekg(pointer);
heap_file.read((char *) &record, SIZE(RecordType));
if (!record.removed) {
record.removed = true;
heap_file.seekp(pointer);
heap_file.write((char *) &record, SIZE(RecordType));
}
}
heap_file.close();
}
public:
explicit ISAM(const std::string &heap_file_name, std::string _attribute, Index index, Greater greater = Greater())
: heap_file_name(heap_file_name), index(index),
greater(greater), attribute(std::move(_attribute)) {
data_file_name = heap_file_name + "_" + attribute + ".isam";
OPEN_FILES(std::ios::app | std::ios::binary);
CLOSE_FILES;
}
ISAM() = default;
/******************************************************************************************************************/
/* This member function meets the following requirements */
/* • It must be called once, since it initializes the tree structure levels, which are static. */
/* • It assumes that the `sorted_file` has exactly N * (M+1)^3 records, in order to generate a full ISAM-tree */
/******************************************************************************************************************/
void create_index() {
drop_index(); // removes all the previous information in the index
std::fstream heap_file(heap_file_name, flags);
if (!heap_file.is_open()) {
throw std::runtime_error("Cannot open the file: " + heap_file_name);
}
SEEK_ALL_RELATIVE(heap_file, 0, std::ios::end)
int64_t n_bytes = heap_file.tellg();
SEEK_ALL(heap_file, 0);
int n_total_records = n_bytes / SIZE(RecordType); // Total number of records in the heap file
int max_n_children = M<KeyType> + 1; //< Maximum number of children per index page
int n_pages = INT_POW(max_n_children, 3); //< Total number of record pages in full ISAM-tree
int n_records = N<Pair<KeyType>> * n_pages; //< Total number of records in full ISAM-tree
std::cout << "n_pages: " << n_pages << std::endl;
if (n_total_records < n_records) {
throw std::runtime_error("The #N of records in " + heap_file_name + " are less than the minimum required.");
}
std::vector<std::pair<RecordType, int64_t>> sorted_data;
sorted_data.reserve(n_records);
int64_t seek = 0;
for (int i = 0; i < n_records; ++i) {
RecordType record;
heap_file.read((char *) &record, SIZE(RecordType));
sorted_data.push_back(std::make_pair(record, seek));
seek = heap_file.tellg();
}
std::sort(sorted_data.begin(), sorted_data.end(),
[&](std::pair<RecordType, int64_t> &a, std::pair<RecordType, int64_t> &b) {
return !greater(index(a.first), index(b.first));
});
OPEN_FILES(std::ios::app);
// Creates the index pages for each level and fills them with his correspondents keys
init_data_pages(sorted_data, n_pages);
/* index1: [k_1 k_2 ... k_{M-1} k_M]
* / | ... | \
* index2: [x < k_1] [k_1 <= x < k_2] ... [k_{M-2} <= x < k_{M-1}] [x >= k_M]
* / ... \ / ... \ ... / ... \ / ... \
* index3: [.] ... [.] [.] ... [.] ... [.] ... [.] [.] ... [.]
* / \ ... / \ / \ ... / \ / \ ... / \ / \ ... / \
* database: [*][*] ... [*][*][*][*] ... [*][*] [*][*] ... [*][*] [*][*] ... [*][*]
*/
CLOSE_FILES;
std::cout << "Finished inserting data pages" << std::endl;
// Inserts the remaining records
RecordType record;
while (heap_file.read((char *) &record, SIZE(RecordType))) {
std::cout << "Seek: " << seek << " Index: " << index(record) << std::endl;
insert(index(record), seek);
seek = heap_file.tellg();
}
std::cout << "Finished inserting overflow pages" << std::endl;
/* index1: [k_1 k_2 ... k_{M-1} k_M]
* / | ... | \
* index2: [x < k_1] [k_1 <= x < k_2] ... [k_{M-2} <= x < k_{M-1}] [x >= k_M]
* / ... \ / ... \ ... / ... \ / ... \
* index3: [.] ... [.] [.] ... [.] ... [.] ... [.] [.] ... [.]
* / \ ... / \ / \ ... / \ / \ ... / \ / \ ... / \
* database: [*][*] ... [*][*][*][*] ... [*][*] [*][*] ... [*][*] [*][*] ... [*][*]
* overflow ^[*][*] ^[*][*] ^[*][*] ^[*][*]
* pages: ^[*][*] ^[*][*]
*/
heap_file.close();
CLOSE_FILES;
}
void drop_index() {
OPEN_FILES(std::ios::out);
CLOSE_FILES;
}
explicit operator bool() {
OPEN_FILES(std::ios::in);
SEEK_ALL_RELATIVE(index_file1, 0, std::ios::end)
int64_t size = index_file1.tellg();
CLOSE_FILES;
return (size > 0);
}
std::vector<RecordType> search(KeyType key) {
std::vector<int64_t> pointers;
OPEN_FILES(flags);
this->search(key, pointers);
CLOSE_FILES;
std::vector<RecordType> records;
search_records(pointers, records);
return records;
}
std::vector<RecordType> range_search(KeyType lower_bound, KeyType upper_bound) {
std::vector<int64_t> pointers;
OPEN_FILES(flags);
this->range_search(lower_bound, upper_bound, pointers);
CLOSE_FILES;
std::vector<RecordType> records;
search_records(pointers, records);
return records;
}
void remove(KeyType key) {
std::vector<int64_t> pointers;
OPEN_FILES(flags);
this->search(key, pointers);
CLOSE_FILES;
remove_records(pointers);
}
/******************************************************************************************************************/
/* This member function makes the following assumption */
/* • The three indexing levels are already created, so the criteria for descending in the tree is well-defined. */
/* */
/* In addition, by ISAM definition we have */
/* • The three indexing levels are totally static, so the tree do not admit the split of indexing pages. */
/* • If the selected insertion page is full, a database page split occurs. */
/******************************************************************************************************************/
void insert(KeyType key, int64_t pointer) {
OPEN_FILES(flags);//< open the files
std::cout << "Key: " << key << std::endl;
// locates the physical position of the database page where the new record should be inserted
int64_t seek = this->locate(key);
int64_t non_full = DISK_NULL;
int64_t prev = DISK_NULL;
PrimaryKey ? locate_insertion_pk(seek, key, non_full, prev) : locate_insertion_non_pk(seek, non_full, prev);
//^ At the end of this call, `non_full` contains the physical position of the first DataPage
// found whose number of records does not exceed the maximum allowed (`N`)
// and `prev` contains the physical position of the last DataPage before DISK_NULL was found (if is required).
if (non_full != DISK_NULL) {
DataPage<Pair<KeyType>> non_full_page;
data_file.seekg(non_full);
data_file.read((char *) &non_full_page, SIZE(DataPage<Pair<KeyType>>));
non_full_page.records[non_full_page.n_records++] = Pair<KeyType>(key, pointer);
data_file.seekp(non_full);
data_file.write((char *) &non_full_page, SIZE(DataPage<Pair<KeyType>>));
} else {
data_file.close();
data_file.open(data_file_name, std::ios::app);
DataPage<Pair<KeyType>> new_page;
new_page.records[new_page.n_records++] = Pair<KeyType>(key, pointer);
int64_t pos = data_file.tellp();
data_file.write((char *) &new_page, SIZE(DataPage<Pair<KeyType>>));
data_file.close();
data_file.open(data_file_name, flags);
DataPage<Pair<KeyType>> prev_page;
data_file.seekg(prev);
data_file.read((char *) &prev_page, SIZE(DataPage<Pair<KeyType>>));
prev_page.next = pos;
data_file.seekp(prev);
data_file.write((char *) &prev_page, SIZE(DataPage<Pair<KeyType>>));
}
CLOSE_FILES;//< closes the files
}
};
#endif //PROJECT_DATASET_ISAM_HPP