/* @brief Loads numbers from input, accumulates their sum, sum of their squares and their count; calculated standard deviation and prints it
*/
private static int Main(string[] args)
{
MathComponents math = new MathComponents();
bool conversionSuccessful;
string input;
decimal square = 0;
decimal linearAccumulator = 0;
decimal quadraticAccumulator = 0;
int count = 0;
while (!string.IsNullOrEmpty(input = Console.ReadLine()))
{
conversionSuccessful = Decimal.TryParse(input, out decimal currentNumber);
if (!conversionSuccessful)
{
Console.WriteLine("Conversion error");
return(-1);
}
count++;
linearAccumulator = CheckNull(math.Add(linearAccumulator, currentNumber));
square = CheckNull(math.Exponentiate(currentNumber, 2));
quadraticAccumulator = CheckNull(math.Add(quadraticAccumulator, square));
}
if (count < 2)
{
Console.WriteLine("Minimum of 2 numbers required");
return(-1);
}
decimal average = CheckNull(math.Divide(1, count));
average = CheckNull(math.Multiply(average, linearAccumulator));
decimal deviationLeft = CheckNull(math.Subtract(count, 1));
deviationLeft = CheckNull(math.Divide(1, deviationLeft));
decimal deviationRight = CheckNull(math.Exponentiate(average, 2));
deviationRight = CheckNull(math.Multiply(count, deviationRight));
deviationRight = CheckNull(math.Subtract(quadraticAccumulator, deviationRight));
decimal deviation = CheckNull(math.Multiply(deviationLeft, deviationRight));
deviation = CheckNull(math.Root(2, deviation));
/* DEBUG INFO
* Console.WriteLine("N: " + count);
* Console.WriteLine("sum x: " + linearAccumulator);
* Console.WriteLine("sum x^2: " + quadraticAccumulator);
* Console.WriteLine("average x: " + average);
* // END INFO */
Console.WriteLine(deviation);
//Console.ReadLine();
return(0);
}
/**
* @brief Tests to check exponential functionality
* @brief 0^0 is undefined
* @brief testing if length is max 9 significant digits
*/
public void TestExponentiation()
{
// rules: 0^0 is undefined
MathComponents NewMath = new MathComponents();
// tests to check exponential functionality
decimal?result = NewMath.Exponentiate(1, 1);
Assert.AreEqual(1, result);
result = NewMath.Exponentiate(2, 5);
Assert.AreEqual(32, result);
result = NewMath.Exponentiate(4, -2);
Assert.AreEqual(0.0625m, result);
result = NewMath.Exponentiate(-5, 3);
Assert.AreEqual(-125, result);
result = NewMath.Exponentiate(-8, -4);
Assert.AreEqual(0.00024414m, result);
result = NewMath.Exponentiate(2.00m, 2.00m);
Assert.AreEqual(4, result);
result = NewMath.Exponentiate((decimal)Math.E, 0);
Assert.AreEqual(1, result);
result = NewMath.Exponentiate(123456.151m, 0);
Assert.AreEqual(1, result);
result = NewMath.Exponentiate(0.5m, 5);
Assert.AreEqual(0.03125m, result);
result = NewMath.Exponentiate(0.5m, -10);
Assert.AreEqual(1024, result);
result = NewMath.Exponentiate(12, 8);
Assert.AreEqual(429981696, result);
// test undefined option
result = NewMath.Exponentiate(0, 0);
Assert.AreEqual(null, result);
// test length of returning value (max 9 significant digits)
result = NewMath.Exponentiate(2, 0.3m);
Assert.AreEqual(RoundOff(1.23114441334491628449m), result);
result = NewMath.Exponentiate(0.5m, 10);
Assert.AreEqual(RoundOff(0.00097656m), result);
// test error handling
result = NewMath.Exponentiate(15, 12);
Assert.AreEqual(null, result);
result = NewMath.Exponentiate(8, 12);
Assert.AreEqual(null, result);
}
