private static bool IsAngleAndSidesCalculated(TriangleData result)
{
return(!MathHelper.IsEqualToZero(result.A) &&
!MathHelper.IsEqualToZero(result.B) &&
!MathHelper.IsEqualToZero(result.C) &&
!MathHelper.IsEqualToZero(result.a) &&
!MathHelper.IsEqualToZero(result.b) &&
!MathHelper.IsEqualToZero(result.c));
}
/// <summary>
/// Calculate sines and cosines.
/// </summary>
/// <param name="angleA">The angle A.</param>
/// <param name="angleB">The angle B.</param>
/// <param name="angleC">The angle C.</param>
/// <param name="sideA">The side A.</param>
/// <param name="sideB">The side B.</param>
/// <param name="sideC">The side C.</param>
public static TriangleData SinesAndCosines(double?angleA, double?angleB, double?angleC, double?sideA, double?sideB, double?sideC)
{
if (Convert.ToInt32(angleA.HasValue) + Convert.ToInt32(angleB.HasValue) + Convert.ToInt32(angleC.HasValue) +
Convert.ToInt32(sideA.HasValue) + Convert.ToInt32(sideB.HasValue) + Convert.ToInt32(sideC.HasValue) != 3)
{
throw new ArithmeticException("3 and only 3 argument have to be null.");
}
if (Convert.ToInt32(angleA.HasValue) + Convert.ToInt32(angleB.HasValue) + Convert.ToInt32(angleC.HasValue) == 0)
{
throw new ArithmeticException("At least 1 angle argument have to be null.");
}
if (Convert.ToInt32(sideA.HasValue) + Convert.ToInt32(sideB.HasValue) + Convert.ToInt32(sideC.HasValue) == 0)
{
throw new ArithmeticException("At least 1 side argument have to be null.");
}
var result = new TriangleData();
if (angleA.HasValue)
{
result.A = (double)angleA;
}
if (angleB.HasValue)
{
result.B = (double)angleB;
}
if (angleC.HasValue)
{
result.C = (double)angleC;
}
if (sideA.HasValue)
{
result.a = (double)sideA;
}
if (sideB.HasValue)
{
result.b = (double)sideB;
}
if (sideC.HasValue)
{
result.c = (double)sideC;
}
result = CalculateAnglesAndSides(result);
return(result);
}
/// <summary>
/// Calculates the angles and sides.
/// </summary>
/// <param name="data">The data.</param>
/// <remarks>
/// http://cossincalc.com/
/// </remarks>
private static TriangleData CalculateAnglesAndSides(TriangleData data)
{
// A
if (MathHelper.IsEqualToZero(data.A))
{
if (!MathHelper.IsEqualToZero(data.B) && !MathHelper.IsEqualToZero(data.C))
{
data.A = 180 - data.B - data.C;
}
else if (!MathHelper.IsEqualToZero(data.B) && !MathHelper.IsEqualToZero(data.a) && !MathHelper.IsEqualToZero(data.b))
{
data.A = MathHelper.Asin(MathHelper.Sin(data.B) * data.a / data.b);
}
else if (!MathHelper.IsEqualToZero(data.B) && !MathHelper.IsEqualToZero(data.b) && !MathHelper.IsEqualToZero(data.c))
{
if (MathHelper.IsEqualToZero(data.C))
{
data.C = MathHelper.Asin(MathHelper.Sin(data.B) * data.c / data.b);
}
data.A = 180 - data.B - data.C;
}
else if (!MathHelper.IsEqualToZero(data.B) && !MathHelper.IsEqualToZero(data.a) && !MathHelper.IsEqualToZero(data.c))
{
double a2 = data.a * data.a;
double c2 = data.c * data.c;
if (MathHelper.IsEqualToZero(data.b))
{
data.b = System.Math.Sqrt(a2 + c2 - (2 * data.a * data.c * MathHelper.Cos(data.B)));
}
double b2 = data.b * data.b;
data.A = MathHelper.Acos((b2 + c2 - a2) / (2 * data.b * data.c));
}
else if (!MathHelper.IsEqualToZero(data.C) && !MathHelper.IsEqualToZero(data.a) && !MathHelper.IsEqualToZero(data.b))
{
double a2 = data.a * data.a;
double b2 = data.b * data.b;
if (MathHelper.IsEqualToZero(data.c))
{
data.c = System.Math.Sqrt(a2 + b2 - (2 * data.a * data.b * MathHelper.Cos(data.C)));
}
double c2 = data.c * data.c;
data.A = MathHelper.Acos((b2 + c2 - a2) / (2 * data.b * data.c));
}
else if (!MathHelper.IsEqualToZero(data.C) && !MathHelper.IsEqualToZero(data.a) && !MathHelper.IsEqualToZero(data.c))
{
if (MathHelper.IsEqualToZero(data.A))
{
data.A = MathHelper.Asin(MathHelper.Sin(data.C) * data.a / data.c);
}
data.B = 180 - data.A - data.C;
}
else if (!MathHelper.IsEqualToZero(data.C) && !MathHelper.IsEqualToZero(data.b) && !MathHelper.IsEqualToZero(data.c))
{
if (MathHelper.IsEqualToZero(data.B))
{
data.B = MathHelper.Asin(MathHelper.Sin(data.C) * data.b / data.c);
}
data.A = 180 - data.B - data.C;
}
else
{
throw new ArithmeticException("This scenario is not implemented yet.");
}
}
// B
if (MathHelper.IsEqualToZero(data.B))
{
if (!MathHelper.IsEqualToZero(data.A) && !MathHelper.IsEqualToZero(data.C))
{
data.B = 180 - data.A - data.C;
}
else if (!MathHelper.IsEqualToZero(data.A) && !MathHelper.IsEqualToZero(data.a) && !MathHelper.IsEqualToZero(data.b))
{
data.B = MathHelper.Asin(MathHelper.Sin(data.A) * data.b / data.a);
}
else if (!MathHelper.IsEqualToZero(data.A) && !MathHelper.IsEqualToZero(data.b) && !MathHelper.IsEqualToZero(data.c))
{
double b2 = data.b * data.b;
double c2 = data.c * data.c;
if (MathHelper.IsEqualToZero(data.a))
{
data.a = System.Math.Sqrt(b2 + c2 - (2 * data.b * data.c * MathHelper.Cos(data.A)));
}
double a2 = data.a * data.a;
data.B = MathHelper.Acos((a2 + c2 - b2) / (2 * data.a * data.c));
}
else if (!MathHelper.IsEqualToZero(data.A) && !MathHelper.IsEqualToZero(data.a) && !MathHelper.IsEqualToZero(data.c))
{
if (MathHelper.IsEqualToZero(data.C))
{
data.C = MathHelper.Asin(MathHelper.Sin(data.A) * data.c / data.a);
}
data.B = 180 - data.A - data.C;
}
else
{
throw new ArithmeticException("This scenario is not implemented yet.");
}
}
// C
if (MathHelper.IsEqualToZero(data.C))
{
if (!MathHelper.IsEqualToZero(data.A) && !MathHelper.IsEqualToZero(data.B))
{
data.C = 180 - data.A - data.B;
}
else
{
throw new ArithmeticException("This scenario is not implemented yet.");
}
}
// a
if (MathHelper.IsEqualToZero(data.a))
{
if (!MathHelper.IsEqualToZero(data.A) && !MathHelper.IsEqualToZero(data.B) && !MathHelper.IsEqualToZero(data.b))
{
data.a = MathHelper.Sin(data.A) * data.b / MathHelper.Sin(data.B);
}
else if (!MathHelper.IsEqualToZero(data.A) && !MathHelper.IsEqualToZero(data.C) && !MathHelper.IsEqualToZero(data.c))
{
data.a = MathHelper.Sin(data.A) * data.c / MathHelper.Sin(data.C);
}
else
{
throw new ArithmeticException("This scenario is not implemented yet.");
}
}
// b
if (MathHelper.IsEqualToZero(data.b))
{
if (!MathHelper.IsEqualToZero(data.A) && !MathHelper.IsEqualToZero(data.B) && !MathHelper.IsEqualToZero(data.a))
{
data.b = MathHelper.Sin(data.B) * data.a / MathHelper.Sin(data.A);
}
else
{
throw new ArithmeticException("This scenario is not implemented yet.");
}
}
// c
if (MathHelper.IsEqualToZero(data.c))
{
if (!MathHelper.IsEqualToZero(data.A) && !MathHelper.IsEqualToZero(data.C) && !MathHelper.IsEqualToZero(data.a))
{
data.c = MathHelper.Sin(data.C) * data.a / MathHelper.Sin(data.A);
}
else
{
throw new ArithmeticException("This scenario is not implemented yet.");
}
}
return(IsAngleAndSidesCalculated(data)
? data
: CalculateAnglesAndSides(data));
}