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https://hub.njuu.cf/TheAlgorithms/C-Plus-Plus.git
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Merge branch 'master' into Lazeeez
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commit
7ef02d1cdb
@ -462,7 +462,7 @@ class uint128_t {
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tmp <<= left;
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tmp <<= left;
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uint128_t quotient(0);
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uint128_t quotient(0);
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uint128_t zero(0);
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uint128_t zero(0);
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while (left >= 0 && tmp2 >= p) {
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while (tmp2 >= p) {
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uint16_t shf = tmp2._lez() - tmp._lez();
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uint16_t shf = tmp2._lez() - tmp._lez();
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if (shf) {
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if (shf) {
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tmp >>= shf;
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tmp >>= shf;
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@ -429,7 +429,7 @@ class uint256_t {
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tmp <<= left;
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tmp <<= left;
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uint256_t quotient(0);
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uint256_t quotient(0);
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uint256_t zero(0);
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uint256_t zero(0);
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while (left >= 0 && tmp2 >= p) {
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while (tmp2 >= p) {
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uint16_t shf = tmp2._lez() - tmp._lez();
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uint16_t shf = tmp2._lez() - tmp._lez();
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if (shf) {
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if (shf) {
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tmp >>= shf;
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tmp >>= shf;
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@ -121,12 +121,10 @@ void list::reverseList() {
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* @returns the top element of the list
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* @returns the top element of the list
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*/
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*/
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int32_t list::top() {
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int32_t list::top() {
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try {
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if (!isEmpty()) {
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if (!isEmpty()) {
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return head->val;
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return head->val;
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} else {
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}
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throw std::logic_error("List is empty");
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} catch (const std::exception &e) {
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std::cerr << "List is empty" << e.what() << '\n';
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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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@ -134,16 +132,14 @@ int32_t list::top() {
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* @returns the last element of the list
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* @returns the last element of the list
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*/
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*/
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int32_t list::last() {
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int32_t list::last() {
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try {
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if (!isEmpty()) {
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if (!isEmpty()) {
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Node *t = head;
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Node *t = head;
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while (t->next != nullptr) {
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while (t->next != nullptr) {
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t = t->next;
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t = t->next;
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}
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return t->val;
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}
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}
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} catch (const std::exception &e) {
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return t->val;
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std::cerr << "List is empty" << e.what() << '\n';
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} else {
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throw std::logic_error("List is empty");
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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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@ -164,7 +160,7 @@ int32_t list::traverse(int index) {
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/* if we get to this line,the caller was asking for a non-existent element
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/* if we get to this line,the caller was asking for a non-existent element
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so we assert fail */
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so we assert fail */
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assert(0);
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exit(1);
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}
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}
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} // namespace linked_list
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} // namespace linked_list
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@ -35,8 +35,9 @@
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*
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*
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*/
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*/
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#include <cassert> /// for assert
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#include <cassert> /// for assert
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#include <cmath> /// for math functions
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#include <cmath> /// for math functions
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#include <cmath>
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#include <cstdint> /// for integer allocation
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#include <cstdint> /// for integer allocation
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#include <cstdlib> /// for std::atof
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#include <cstdlib> /// for std::atof
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#include <functional> /// for std::function
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#include <functional> /// for std::function
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@ -64,13 +65,13 @@ namespace simpson_method {
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* @returns the result of the integration
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* @returns the result of the integration
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*/
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*/
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double evaluate_by_simpson(std::int32_t N, double h, double a,
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double evaluate_by_simpson(std::int32_t N, double h, double a,
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std::function<double(double)> func) {
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const std::function<double(double)>& func) {
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std::map<std::int32_t, double>
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std::map<std::int32_t, double>
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data_table; // Contains the data points. key: i, value: f(xi)
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data_table; // Contains the data points. key: i, value: f(xi)
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double xi = a; // Initialize xi to the starting point x0 = a
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double xi = a; // Initialize xi to the starting point x0 = a
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// Create the data table
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// Create the data table
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double temp;
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double temp = NAN;
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for (std::int32_t i = 0; i <= N; i++) {
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for (std::int32_t i = 0; i <= N; i++) {
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temp = func(xi);
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temp = func(xi);
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data_table.insert(
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data_table.insert(
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@ -82,12 +83,13 @@ double evaluate_by_simpson(std::int32_t N, double h, double a,
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// Remember: f(x0) + 4*f(x1) + 2*f(x2) + ... + 2*f(xN-2) + 4*f(xN-1) + f(xN)
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// Remember: f(x0) + 4*f(x1) + 2*f(x2) + ... + 2*f(xN-2) + 4*f(xN-1) + f(xN)
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double evaluate_integral = 0;
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double evaluate_integral = 0;
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for (std::int32_t i = 0; i <= N; i++) {
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for (std::int32_t i = 0; i <= N; i++) {
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if (i == 0 || i == N)
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if (i == 0 || i == N) {
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evaluate_integral += data_table.at(i);
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evaluate_integral += data_table.at(i);
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else if (i % 2 == 1)
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} else if (i % 2 == 1) {
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evaluate_integral += 4 * data_table.at(i);
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evaluate_integral += 4 * data_table.at(i);
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else
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} else {
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evaluate_integral += 2 * data_table.at(i);
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evaluate_integral += 2 * data_table.at(i);
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}
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}
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}
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// Multiply by the coefficient h/3
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// Multiply by the coefficient h/3
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@ -170,7 +172,7 @@ int main(int argc, char** argv) {
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/// interval. MUST BE EVEN
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/// interval. MUST BE EVEN
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double a = 1, b = 3; /// Starting and ending point of the integration in
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double a = 1, b = 3; /// Starting and ending point of the integration in
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/// the real axis
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/// the real axis
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double h; /// Step, calculated by a, b and N
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double h = NAN; /// Step, calculated by a, b and N
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bool used_argv_parameters =
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bool used_argv_parameters =
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false; // If argv parameters are used then the assert must be omitted
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false; // If argv parameters are used then the assert must be omitted
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@ -180,18 +182,20 @@ int main(int argc, char** argv) {
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// displaying messages)
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// displaying messages)
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if (argc == 4) {
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if (argc == 4) {
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N = std::atoi(argv[1]);
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N = std::atoi(argv[1]);
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a = (double)std::atof(argv[2]);
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a = std::atof(argv[2]);
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b = (double)std::atof(argv[3]);
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b = std::atof(argv[3]);
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// Check if a<b else abort
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// Check if a<b else abort
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assert(a < b && "a has to be less than b");
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assert(a < b && "a has to be less than b");
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assert(N > 0 && "N has to be > 0");
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assert(N > 0 && "N has to be > 0");
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if (N < 16 || a != 1 || b != 3)
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if (N < 16 || a != 1 || b != 3) {
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used_argv_parameters = true;
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used_argv_parameters = true;
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}
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std::cout << "You selected N=" << N << ", a=" << a << ", b=" << b
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std::cout << "You selected N=" << N << ", a=" << a << ", b=" << b
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<< std::endl;
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<< std::endl;
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} else
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} else {
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std::cout << "Default N=" << N << ", a=" << a << ", b=" << b
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std::cout << "Default N=" << N << ", a=" << a << ", b=" << b
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<< std::endl;
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<< std::endl;
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}
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// Find the step
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// Find the step
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h = (b - a) / N;
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h = (b - a) / N;
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@ -6,7 +6,8 @@
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* discrete Fourier transform (DFT) of a sequence, or its inverse (IDFT).
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* discrete Fourier transform (DFT) of a sequence, or its inverse (IDFT).
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* @details
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* @details
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* This
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* This
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* algorithm has application in use case scenario where a user wants to find points of a
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* algorithm has application in use case scenario where a user wants to find
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points of a
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* function
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* function
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* in a short time by just using the coefficients of the polynomial
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* in a short time by just using the coefficients of the polynomial
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* function.
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* function.
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@ -56,8 +57,9 @@ std::complex<double> *FastFourierTransform(std::complex<double> *p, uint8_t n) {
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if (j % 2 == 0) {
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if (j % 2 == 0) {
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pe[k1++] = p[j]; /// Assigning values of even Coefficients
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pe[k1++] = p[j]; /// Assigning values of even Coefficients
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} else
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} else {
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po[k2++] = p[j]; /// Assigning value of odd Coefficients
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po[k2++] = p[j]; /// Assigning value of odd Coefficients
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}
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}
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}
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std::complex<double> *ye =
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std::complex<double> *ye =
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@ -80,11 +82,9 @@ std::complex<double> *FastFourierTransform(std::complex<double> *p, uint8_t n) {
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k2++;
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k2++;
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}
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}
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if(n!=2){
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if (n != 2) {
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delete[] pe;
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delete[] pe;
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delete[] po;
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delete[] po;
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}
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}
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delete[] ye; /// Deleting dynamic array ye
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delete[] ye; /// Deleting dynamic array ye
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@ -123,9 +123,11 @@ static void test() {
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{10, 0}, {-2, -2}, {-2, 0}, {-2, 2}}; /// True Answer for test case 2
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{10, 0}, {-2, -2}, {-2, 0}, {-2, 2}}; /// True Answer for test case 2
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std::complex<double> *o1 = numerical_methods::FastFourierTransform(t1, n1);
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std::complex<double> *o1 = numerical_methods::FastFourierTransform(t1, n1);
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std::complex<double> *t3=o1; /// Temporary variable used to delete memory location of o1
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std::complex<double> *t3 =
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o1; /// Temporary variable used to delete memory location of o1
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std::complex<double> *o2 = numerical_methods::FastFourierTransform(t2, n2);
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std::complex<double> *o2 = numerical_methods::FastFourierTransform(t2, n2);
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std::complex<double> *t4=o2; /// Temporary variable used to delete memory location of o2
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std::complex<double> *t4 =
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o2; /// Temporary variable used to delete memory location of o2
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for (uint8_t i = 0; i < n1; i++) {
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for (uint8_t i = 0; i < n1; i++) {
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assert((r1[i].real() - o1->real() < 0.000000000001) &&
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assert((r1[i].real() - o1->real() < 0.000000000001) &&
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(r1[i].imag() - o1->imag() <
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(r1[i].imag() - o1->imag() <
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@ -142,7 +144,6 @@ static void test() {
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o2++;
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o2++;
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}
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}
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delete[] t1;
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delete[] t1;
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delete[] t2;
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delete[] t2;
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delete[] t3;
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delete[] t3;
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@ -160,6 +161,6 @@ static void test() {
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int main(int argc, char const *argv[]) {
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int main(int argc, char const *argv[]) {
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test(); // run self-test implementations
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test(); // run self-test implementations
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// with 2 defined test cases
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// with 2 defined test cases
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return 0;
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return 0;
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}
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}
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