Pi Day Challenge - Fluent C++

PiDayChallenge.cpp

/*
	Pi Estimation using Monte Carlo method.
	
	Author - Vineeth 
	Date - 03/12/2017

	Ref : http://www.fluentcpp.com/2017/03/02/the-pi-day-challenge-for-expressive-code-in-c/
	
*/

#include <iostream>
#include <random>
#include <math.h>
#include <iomanip>

using namespace std;

const double piReference = 3.14159265359;

bool pointsInCircle(const pair<double, double> pt, double mRadius) {

	if (pow(pt.first, 2) + pow(pt.second, 2) <= pow(mRadius, 2))
		return true;

	return false;
}

long double getPiVariance(double mRadius, int32_t mPointsCount) {

	random_device mRandom;
	mt19937 rnEngine(mRandom());
	uniform_real_distribution<double> mDistribution(-1 * mRadius, mRadius);
	int mPointsInCircle = 0;

	for (long i = 0; i < mPointsCount; i++) {

		double x = mDistribution(rnEngine);
		double y = mDistribution(rnEngine);

		if (pointsInCircle(make_pair(x, y), mRadius))
			mPointsInCircle++;
	}

	long double pi = 4 * static_cast<double>(mPointsInCircle) / static_cast<double>(mPointsCount);

	return abs(piReference - pi);
}

void printPiVariance() {

	double mRadius;
	int32_t mPointsCount;

	for (int n = 0; n <= 9; n++) {

		for (int m = 0; m <= 7; m++) {
			mRadius = pow(10, n);
			mPointsCount = static_cast<int>(pow(10, m));
			cout << setw(15) << getPiVariance(mRadius, mPointsCount);
		}

		cout << endl;
		mRadius = 0.0;
		mPointsCount = 0;
	}
}

int main() {

	printPiVariance();

	return 0;
}