static void Main(string[] args)
{
//// Lab 3 test:
Rational number = new Rational(4, 5);
Rational number2 = new Rational(16, 20);
Rational number3 = new Rational(5);
Console.WriteLine("numbe1: {0}, number2: {1} , number3: {2}", number.ToString(), number2.ToString(), number3.ToString());
number2.Reduce();
Console.WriteLine("reduced number2: " + number2.ToString());
number.Mul(number);
Console.WriteLine("number1 * number2: " + number.Mul(number).ToString());
Console.WriteLine("Is equal? " + number.Equals(number2));
Console.WriteLine("Is number equals to 7? " + number.Equals(7));
Console.WriteLine("number1 + number2: " + number.Add(number2).ToString());
//Lab appendix test:
Console.WriteLine("operator + : number+number2= " + (number + number2).ToString());
Console.WriteLine("operator * : number*number2= " + (number * number2).ToString());
Console.WriteLine("operator / : number/number2= " + (number / number2).ToString());
Console.WriteLine("operator - : number-number2= " + (number - number2).ToString());
Console.WriteLine("(double) casting : (double)(number2)= " + ((double)(number2)).ToString());
Console.WriteLine("casting : (Rational)number3= " + ((Rational)(number3)).ToString());
Console.Read();
}/*********************/
public static void Main()//testing the rational struct
{
Rational rat1 = new Rational(3, 4);
Rational rat2 = new Rational(5, 6);
Rational rat3 = new Rational(6, 7);
Rational rat4 = new Rational(5, 6);
Rational rat5 = new Rational(5);
Console.WriteLine(rat1.ToString());
Console.WriteLine(rat2.ToString());
Console.WriteLine(rat3.ToString());
Console.WriteLine(rat5.ToString());
Console.WriteLine("{0},{1},{2},{3}\n", rat1.GetAsDouble, rat2.GetAsDouble, rat3.GetAsDouble, rat5.GetAsDouble);
Rational newRat = rat1.Add(rat2);
Console.WriteLine(newRat.ToString());
newRat.Reduce();
Console.WriteLine("rational number after reduction {0}", newRat.ToString());
Rational newRat2 = rat2.Mul(rat3);
Console.WriteLine(newRat2.ToString());
newRat2.Reduce();
Console.WriteLine("rational number after reduction {0}", newRat2.ToString());
if (rat2.Equals(rat4))
{
Console.WriteLine("the numbers are equal");
}
else
{
Console.WriteLine("not equal");
}
}
// Returns per-row errors
public static string[] GetErrors(Tempered[] ts, Subgroup subgroup)
{
if (ts == null)
{
return(null);
}
string[] errors = new string[ts.Length];
Rational[] indep = new Rational[ts.Length]; // independent intervals
int indepSize = 0;
for (int i = 0; i < ts.Length; ++i)
{
Rational r = ts[i].rational;
string error = null;
if (r.IsDefault())
{
error = "Invalid rational";
}
else if (r.Equals(Rational.One))
{
error = "1/1 can't be tempered";
}
else if (!subgroup.IsInRange(r))
{
error = "Out of JI range";
}
else
{
if (indepSize > 0)
{
var m = new Vectors.Matrix(indep, -1, indepSize, makeDiagonal: true);
var coords = m.FindRationalCoordinates(r);
if (coords != null)
{
error = "";
for (int j = 0; j < coords.Length; ++j)
{
if (coords[j].sign != 0)
{
error += String.Format(" * {0}^{1}", indep[j].FormatFraction(), coords[j].FormatFraction());
}
}
if (error.Length != 0)
{
error = "Dependend: " + error.Substring(2);
}
}
}
indep[indepSize++] = r;
}
errors[i] = error;
}
return(errors);
}
static void Main(string[] args)
{
Rational first = new Rational();
Rational second = new Rational();
first.Numerator = 2;
first.Denominator = 4;
second.Numerator = 4;
second.Denominator = 8;
Console.WriteLine("the numbers are:");
Console.WriteLine(first.ToString());
Console.WriteLine(second.ToString());
Console.WriteLine();
Console.WriteLine("the decimal value is:");
Console.WriteLine(first.Decimalvalue);
Console.WriteLine(second.Decimalvalue);
Console.WriteLine();
Console.WriteLine("the reduced rationals are:");
Console.WriteLine(first.ReduceRational().ToString());
Console.WriteLine(second.ReduceRational().ToString());
Console.WriteLine();
Console.WriteLine("the added rationals are:");
Console.WriteLine(first.AddRational(second).ToString());
Console.WriteLine();
Console.WriteLine("the Multiply of the rationals are:");
Console.WriteLine(first.MulRational(second).ToString());
Console.WriteLine();
Console.WriteLine("are the two rational equal");
Console.WriteLine(first.Equals(second));
Console.WriteLine();
Console.WriteLine("addition");
Rational addition = first + second;
Console.WriteLine(addition.ToString());
Console.WriteLine();
Console.WriteLine("subtruct");
Rational subtruct = first - second;
Console.WriteLine(subtruct.ToString());
Console.WriteLine();
Console.WriteLine("devide");
Rational devide = first / second;
Console.WriteLine(devide.ToString());
Console.WriteLine();
Console.WriteLine("multiply");
Rational multiply = first * second;
Console.WriteLine(multiply.ToString());
Console.ReadLine();
}
public EqualDivision(int stepCount, Rational basis)
{
_stepCount = stepCount;
_stepCents = basis.ToCents() / stepCount;
if (_stepCents == 12 && basis.Equals(Rational.Two))
{
_noteNames = "C C# D D# E F F# G G# A A# B B#".Split(' ');
}
}
static void Main(string[] args)
{
Rational ra1 = new Rational(5, 10);
Rational ra2 = new Rational(20, 40);
Console.WriteLine("Creating ra1 = 5/10 and ra2=20/40");
Console.WriteLine("");
ra1.reduce();
Console.WriteLine("ra1 after reduce is: numinator: " + ra1.Numerator + " denom: " + ra1.Denominator);
Console.WriteLine();
Console.WriteLine();
Console.WriteLine("Result of ra1.Equals(ra2) = " + ra1.Equals(ra2));
Console.WriteLine();
Console.WriteLine();
Console.WriteLine("creating Rational ra3 = ra1 + ra2 :");
Rational ra3 = Rational.Add(ra1, ra2);
Console.WriteLine("Result: ra3 = " + ra3);
Console.WriteLine();
Console.WriteLine("creating Rational ra4 = ra1 * ra2 :");
Rational ra4 = Rational.Mul(ra1, ra2);
Console.WriteLine();
Console.WriteLine("result: " + ra4);
Console.WriteLine();
Console.WriteLine("ra1: " + ra1 + " ra2: " + ra2 + " ra3: " + ra3 + " ra4: " + ra4);
Console.WriteLine();
Console.WriteLine();
Console.WriteLine("Creating ra5 = 20/41");
Rational ra5 = new Rational(20, 41);
Console.WriteLine("ra1 == ra5 is : " + ra1.Equals(ra5));
}
static void Main(string[] args)
{
Rational a = new Rational(2, 4);
Rational b = new Rational(3, 6);
Rational c = Rational.Add(a, b);
Rational d = Rational.Mul(a, b);
Console.WriteLine("a = " + a + ", value: " + a.Value);
Console.WriteLine("b = " + b + ", value: " + b.Value);
Console.WriteLine("a + b = " + c + ", value: " + c.Value);
Console.WriteLine("a * b = " + d + ", value: " + d.Value);
Console.WriteLine("a == b? " + a.Equals(b).ToString());
}
static void Main(string[] args)
{
Rational r1 = new Rational(1, 2);
Rational r2 = new Rational(1, 2);
Rational r3;
Console.WriteLine(r1 + r2);
Console.WriteLine(r1 - r2);
Console.WriteLine(r1 * r2);
Console.WriteLine(r1 / r2);
Console.WriteLine(r1.Equals(r2));
Console.WriteLine((double)r1);
Console.WriteLine(r1.ToDouble);
r3 = (Rational)55;
}
static void Main(string[] args)
{
Rational r1 = new Rational(7, 8);
Rational r2 = new Rational(5, 10);
// add and mult
Rational r3 = Rational.Add(r1, r2);
Rational r4 = Rational.Mul(r1, r2);
Console.WriteLine(r1 + " + " + r2 + " = " + r3);
Console.WriteLine(r1 + " * " + r2 + " = " + r4);
// reduce
Console.Write(r1 + " = ");
r1.Reduce();
Console.WriteLine(r1);
Console.Write(r2 + " = ");
r2.Reduce();
Console.WriteLine(r2);
Console.Write(r3 + " = ");
r3.Reduce();
Console.WriteLine(r3);
Console.Write(r4 + " = ");
r4.Reduce();
Console.WriteLine(r4);
// equlas
if (r3.Equals(r4))
{
Console.WriteLine(r3 + "=" + r4);
}
else
{
Console.WriteLine(r3 + "!=" + r4);
}
r1 = new Rational(7, 8);
r2 = new Rational(5, 10);
if (Rational.Mul(r1, r2).Equals(r4))
{
Console.WriteLine(Rational.Mul(r1, r2) + " = " + r4);
}
else
{
Console.WriteLine(Rational.Mul(r1, r2) + " != " + r4);
}
}
static void Main(string[] args)
{
Rational r1 = new Rational(48, 64);
Rational r2 = new Rational(72, 48);
r1.Reduce();
Rational r3 = r1 + r2;
Rational r4 = new Rational(6, 8);
Rational r5 = r4 - r1;
Rational r6 = r4 / r1;
Rational r7 = (Rational)8;
double d1 = (double)r1;
Console.WriteLine(r1.ToString());
Console.WriteLine(r3.ToString());
Console.WriteLine(r5.ToString());
Console.WriteLine(r6.ToString());
Console.WriteLine(r7.ToString());
Console.WriteLine(d1);
Console.WriteLine(r4.Equals(r1).ToString());
}
public static int[] FindCoordinates(Rational[] basis, Rational vector, int vectorLength)
{
int basisSize = basis.Length;
// get prime powers
int[][] b = new int[basisSize][];
for (int i = 0; i < basisSize; ++i)
{
b[i] = basis[i].GetPrimePowers();
}
int[] v = vector.GetPrimePowers();
//
Matrix matrix = new Matrix(b, v, vectorLength);
int[] coordinates = matrix.FindCoordinates();
#if DEBUG
// check result
if (coordinates != null)
{
Rational r = Rational.One;
for (int i = 0; i < coordinates.Length; ++i)
{
r *= basis[i].Power(coordinates[i]);
}
if (!r.Equals(vector))
{
throw new Exception(
String.Format("FindCoordinates failed: {0} != {1}", r, vector)
);
}
}
#endif
return(coordinates);
}
static void Main(string[] args)
{
try
{
Rational rationalA = new Rational(4, 8);
Rational rationalB = new Rational(1, 3);
Console.WriteLine(" rationalA Value : {0}", rationalA);
Console.WriteLine(" rationalB Value : {0}", rationalB);
Console.WriteLine(" The sum of rationalA and rationalB is : {0}", rationalA + rationalB);
Console.WriteLine(" The result of multiplying rationalA and rationalB is : {0}", rationalA * rationalB);
Console.WriteLine(" The result after subtract rationalB from rationalA is : {0}", rationalA - rationalB);
Console.WriteLine(" The result after Divide rationalA by rationalB is : {0}", rationalA / rationalB);
rationalA.Reduce();
Console.WriteLine(" rationalA Value after reduce : {0}", rationalA);
Console.WriteLine(" Is rationalA and rationalB are Equals: {0}", rationalA.Equals(rationalB));
}
catch (ArgumentException e)
{
Console.WriteLine(e.Message);
}
}
public static void Main()//testing the rational struct
{
Rational rat1 = new Rational(3, 4);
Rational rat2 = new Rational(5, 6);
Rational rat3 = new Rational(6, 7);
Rational rat4 = new Rational(5, 6);
Console.WriteLine(rat1.ToString());
Console.WriteLine(rat2.ToString());
Console.WriteLine(rat3.ToString());
Rational rat5 = rat1 + rat2;
Rational rat6 = rat2 * rat3;
Rational rat7 = rat3 / rat4;
Rational rat8 = rat4 - rat1;
Console.WriteLine(rat5.ToString());
Console.WriteLine(rat6.ToString());
Console.WriteLine(rat7.ToString());
Console.WriteLine(rat8.ToString());
Rational rat9 = new Rational(2, 4);
Rational rat10 = new Rational(1, 2);
if (rat9.Equals(rat10))
{
Console.WriteLine("the numbers are equal");
}
else
{
Console.WriteLine("the numbers are not equal");
}
Console.WriteLine("{0},{1},{2},{3}\n", rat1.GetAsDouble, rat2.GetAsDouble, rat3.GetAsDouble, rat5.GetAsDouble);
}
public bool Equals(SomeInterval other)
{
return(rational.Equals(other.rational) && cents == other.cents); //!!! compare cents with threshold?
}
