Upload files to "ex1C_summation_of_specified_numbers"
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31
ex1C_summation_of_specified_numbers/main.cpp
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31
ex1C_summation_of_specified_numbers/main.cpp
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#include "special_sum.h"
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#include "../utils/timing.h"
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#include <iostream>
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#include <chrono>
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#include <stack>
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using namespace std;
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int main(int argc, char **argv)
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{
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// check results and compare speeds
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for(size_t n : {15, 1001, 1432987})
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{
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cout << "n = " << n << endl;
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size_t sum_1, sum_2;
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tic();
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for(size_t i = 0; i < 1000; ++i)
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sum_1 = special_sum_loop(n);
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double time_1 = toc();
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tic();
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for(size_t i = 0; i < 1000; ++i)
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sum_2 = special_sum_noloop(n);
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double time_2 = toc();
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cout << "loop: " << sum_1 << "\t\tDuration: " << time_1 << endl;
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cout << "no loop: " << sum_2 << "\t\tDuration: " << time_2 << endl << "---------------------------------------------------" << endl;
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}
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return 0;
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}
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28
ex1C_summation_of_specified_numbers/special_sum.cpp
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ex1C_summation_of_specified_numbers/special_sum.cpp
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#include "special_sum.h"
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size_t gauss_sum(size_t n)
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{
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return (n*(n+1))/2;
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}
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size_t special_sum_loop(size_t n)
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{
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size_t sum = 0;
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for (size_t i = 1; i < n+1; ++i)
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{
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if (i % 3 == 0 || i % 5 == 0)
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{
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sum += i;
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}
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}
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return sum;
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}
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size_t special_sum_noloop(size_t n)
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{
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size_t factor_3 = gauss_sum(n/3); // dividing int by int automatically gets rounded off
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size_t factor_5 = gauss_sum(n/5);
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size_t factor_15 = gauss_sum(n/15);
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return factor_3*3 + factor_5*5 - factor_15*15;
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}
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5
ex1C_summation_of_specified_numbers/special_sum.h
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5
ex1C_summation_of_specified_numbers/special_sum.h
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#include <cstddef>
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size_t special_sum_loop(size_t n);
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size_t special_sum_noloop(size_t n);
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