public void Test2()
{
/*
* the eighth expansion, 1393/985,
* is the first example where the number of digits in the numerator exceeds the number of digits in the denominator..
*
*/
var sut = new E057SquareRootConvergents();
Assert.True(sut.NumeratorHasMoreDigitsThanDenominator(iterationNumber: 8));
Assert.False(sut.NumeratorHasMoreDigitsThanDenominator(iterationNumber: 7));
Assert.False(sut.NumeratorHasMoreDigitsThanDenominator(iterationNumber: 9));
}
public void Solution()
{
/*
* In the first one-thousand expansions, how many fractions contain a numerator with more digits than denominator?
*/
var sut = new E057SquareRootConvergents();
Assert.Equal(153, sut.GetNumeratorWithMoreDigitsThanDenominator(upto: 1000));
/*
* Congratulations, the answer you gave to problem 57 is correct.
*
* You are the 36239th person to have solved this problem.
*/
}
public void Test1()
{
/*
* 1 + 1/2 = 3/2 = 1.5
* 1 + 1/(2 + 1/2) = 7/5 = 1.4
* 1 + 1/(2 + 1/(2 + 1/2)) = 17/12 = 1.41666...
* 1 + 1/(2 + 1/(2 + 1/(2 + 1/2))) = 41/29 = 1.41379...
*
*/
var sut = new E057SquareRootConvergents();
Fraction r = sut.GetSquareRootConvergents(iterationNumber: 1);
Assert.Equal(3, r.Numerator);
Assert.Equal(2, r.Denominator);
r = sut.GetSquareRootConvergents(iterationNumber: 2);
Assert.Equal(7, r.Numerator);
Assert.Equal(5, r.Denominator);
r = sut.GetSquareRootConvergents(iterationNumber: 3);
Assert.Equal(17, r.Numerator);
Assert.Equal(12, r.Denominator);
r = sut.GetSquareRootConvergents(iterationNumber: 4);
Assert.Equal(41, r.Numerator);
Assert.Equal(29, r.Denominator);
r = sut.GetSquareRootConvergents(iterationNumber: 5);
Assert.Equal(99, r.Numerator);
Assert.Equal(70, r.Denominator);
r = sut.GetSquareRootConvergents(iterationNumber: 6);
Assert.Equal(239, r.Numerator);
Assert.Equal(169, r.Denominator);
r = sut.GetSquareRootConvergents(iterationNumber: 7);
Assert.Equal(577, r.Numerator);
Assert.Equal(408, r.Denominator);
r = sut.GetSquareRootConvergents(iterationNumber: 8);
Assert.Equal(1393, r.Numerator);
Assert.Equal(985, r.Denominator);
}
