public static void Main(string[] args)
{
// Get the list of points we'll run our test against.
List <Point> points = InitializePoints();
// Find the circle that passes through the first 3 points in the list.
OlimexChallenge9 challenge = new OlimexChallenge9(points);
CircleDefinition centre = challenge.FindCircleDefinitionFrom3Points();
// Output commentary.
Console.WriteLine("Number of points to check : {0}", points.Count);
Console.WriteLine();
Console.WriteLine("Point 1 : ({0}, {1})", points[0].X, points[0].Y);
Console.WriteLine("Point 2 : ({0}, {1})", points[1].X, points[1].Y);
Console.WriteLine("Point 3 : ({0}, {1})", points[2].X, points[2].Y);
Console.WriteLine();
Console.WriteLine("These 3 points define a circle with:");
Console.WriteLine("Centre : ({0}, {1})", centre.Centre.X, centre.Centre.Y);
Console.WriteLine("Radius : {0}", centre.Radius);
Console.WriteLine();
// Assume all the points are on the circle until we prove otherwise.
bool allPointsOnCircumference = true;
// Check the distance of each point from the circle's centre against
// the radius to see if it sits on the circumference.
if (points.Count > 3)
{
for (int pointIndex = 3; pointIndex < points.Count; pointIndex++)
{
double xDistance = points[pointIndex].X - centre.Centre.X;
double yDistance = points[pointIndex].Y - centre.Centre.Y;
double distanceFromCentre =
Math.Sqrt(Math.Pow(xDistance, 2) + Math.Pow(yDistance, 2));
// Check whether we're within the tolerance limit.
if (Math.Abs(distanceFromCentre - centre.Radius) > tolerance)
{
// Off the circle.
Console.WriteLine("Point {0} : Not on circle : ({1}, {2})",
pointIndex + 1,
points[pointIndex].X,
points[pointIndex].Y);
allPointsOnCircumference = false;
}
else
{
// On the circle.
Console.WriteLine("Point {0} : On the circle : ({1}, {2})",
pointIndex + 1,
points[pointIndex].X,
points[pointIndex].Y);
}
}
}
else
{
// Only 3 points so they must all be on the circle.
Console.WriteLine("All points are on the circle's circumference.");
}
// Show the final result.
Console.WriteLine();
Console.WriteLine("*******************************************");
if (allPointsOnCircumference)
{
Console.WriteLine(" SUCCESS !!!");
}
else
{
Console.WriteLine(" FAILED !!!");
}
Console.WriteLine("*******************************************");
Console.WriteLine();
Console.WriteLine("Press a key to exit...");
Console.ReadLine();
}
public static void Main(string[] args)
{
// Get the list of points we'll run our test against.
List<Point> points = InitializePoints();
// Find the circle that passes through the first 3 points in the list.
OlimexChallenge9 challenge = new OlimexChallenge9(points);
CircleDefinition centre = challenge.FindCircleDefinitionFrom3Points();
// Output commentary.
Console.WriteLine("Number of points to check : {0}", points.Count);
Console.WriteLine();
Console.WriteLine("Point 1 : ({0}, {1})", points[0].X, points[0].Y);
Console.WriteLine("Point 2 : ({0}, {1})", points[1].X, points[1].Y);
Console.WriteLine("Point 3 : ({0}, {1})", points[2].X, points[2].Y);
Console.WriteLine();
Console.WriteLine("These 3 points define a circle with:");
Console.WriteLine("Centre : ({0}, {1})", centre.Centre.X, centre.Centre.Y);
Console.WriteLine("Radius : {0}", centre.Radius);
Console.WriteLine();
// Assume all the points are on the circle until we prove otherwise.
bool allPointsOnCircumference = true;
// Check the distance of each point from the circle's centre against
// the radius to see if it sits on the circumference.
if (points.Count > 3)
{
for (int pointIndex = 3; pointIndex < points.Count; pointIndex++)
{
double xDistance = points[pointIndex].X - centre.Centre.X;
double yDistance = points[pointIndex].Y - centre.Centre.Y;
double distanceFromCentre =
Math.Sqrt(Math.Pow(xDistance, 2) + Math.Pow(yDistance, 2));
// Check whether we're within the tolerance limit.
if (Math.Abs(distanceFromCentre - centre.Radius) > tolerance)
{
// Off the circle.
Console.WriteLine("Point {0} : Not on circle : ({1}, {2})",
pointIndex + 1,
points[pointIndex].X,
points[pointIndex].Y);
allPointsOnCircumference = false;
}
else
{
// On the circle.
Console.WriteLine("Point {0} : On the circle : ({1}, {2})",
pointIndex + 1,
points[pointIndex].X,
points[pointIndex].Y);
}
}
}
else
{
// Only 3 points so they must all be on the circle.
Console.WriteLine("All points are on the circle's circumference.");
}
// Show the final result.
Console.WriteLine();
Console.WriteLine("*******************************************");
if (allPointsOnCircumference)
Console.WriteLine(" SUCCESS !!!");
else
Console.WriteLine(" FAILED !!!");
Console.WriteLine("*******************************************");
Console.WriteLine();
Console.WriteLine("Press a key to exit...");
Console.ReadLine();
}
