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Answer to Question #45593 in MatLAB | Mathematica | MathCAD | Maple for Deepika C

Question #45593
Write a single program that calculates the arithmetic mean (average), rms average, geometric mean
and harmonic mean for a set of n positive numbers. Your program should take two values xlow and
xhigh and generate 10000 random numbers in the range [xlow...xhigh], and should print out arithmetic
mean (average), rms average, geometric mean and harmonic mean.
Expert's answer
#include <cmath>
#include <iostream>
#include <set>
#include <cstdlib>
#include <ctime>
#include <climits>
void generate1000Rand(std::set<int>* numbers, int xlow, int xhigh) {
for (int i = 0; i < 100; i++) {
numbers->insert(xlow + rand() % (xhigh + 1));
}
}
long double average(std::set<int>* numbers) {
long long unsigned sum = 0;
for ( std::set<int>::iterator it = numbers->begin(); it != numbers->end() ; it++ ) {
sum += *it;
}
return sum / 1000;
}
double rms( std::set<int>* numbers ) {
long long unsigned sum = 0;
for ( std::set<int>::iterator it = numbers->begin(); it != numbers->end() ; it++ ) {
sum += pow((*it), 2);
}
return sqrt(0.001*(sum));
}
long double geometricMean(std::set<int>* numbers) {
long long unsigned product = 1;
for ( std::set<int>::iterator it = numbers->begin(); it != numbers->end() ; it++ ) {
product *= *it;
}
return pow(product, 0.001);
}
long double harmonicMean( std::set<int>* numbers ) {
long double sum = 1;
for ( std::set<int>::iterator it = numbers->begin(); it != numbers->end() ; it++ ) {
sum += (long double)1/(*it);
}
return 1000/sum;
}
int main() {
srand(time(NULL));
std::set<int>* numbers = new std::set<int>();
int xlow, xhigh;
std::cout << "Please input lower and upper limit." << std::endl;
std::cin >> xlow >> xhigh;
if ( xlow > xhigh ) {
std::cout << "Wrong input. Lower limit got to be smaller than upper "<< std::endl;
return 0;
}
generate1000Rand(numbers, xlow, xhigh);
std::cout << "RMS: " << rms(numbers) << std::endl;
std::cout << "Average: " << average(numbers) << std::endl;
std::cout << "Geometric Mean: " << geometricMean(numbers) << std::endl;
std::cout << "Harmonic Mean: " << harmonicMean(numbers) << std::endl;
return 0;
}

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