/// <summary>
/// Updates the constants.
/// </summary>
protected override void UpdateConstants()
{
base.UpdateConstants();
a = EllipsoidType.A();
e2 = EllipsoidType.E2();
e = Math.Sqrt(e2);
e4 = e2 * e2;
e6 = e4 * e2;
e8 = e4 * e4;
lambda_0 = MathUtil.Radians(CentralMeridian);
}
/// <summary>
/// Updates the constants.
/// </summary>
protected override void UpdateConstants()
{
base.UpdateConstants();
double phi_s = MathUtil.Radians(StandardParallel);
double sinphi_s = Math.Cos(phi_s);
double sin2phi_s = sinphi_s * sinphi_s;
a = EllipsoidType.A();
e2 = EllipsoidType.E2();
e = Math.Sqrt(e2);
e4 = e2 * e2;
e6 = e4 * e2;
cosphi_s = Math.Cos(phi_s);
lambda_0 = MathUtil.Radians(LongitudeOrigin);
k_0 = cosphi_s / Math.Sqrt(1 - e2 * sin2phi_s); // 10-13
q_p = (1 - e2) * (1 / (1 - e2) - (1 / (2 * e)) * Math.Log((1 - e) / (1 + e))); // 3-12 with phi=90 degrees
}
/// <summary>
/// Updates the constants.
/// </summary>
protected override void UpdateConstants()
{
base.UpdateConstants();
a = EllipsoidType.A();
e2 = EllipsoidType.E2();
e4 = e2 * e2;
e6 = e4 * e2;
e8 = e6 * e2;
e = Math.Sqrt(e2);
k_0 = ScaleFactor;
phi_0 = MathUtil.Radians(LatitudeOrigin);
lambda_c = MathUtil.Radians(LongitudeOrigin);
alpha_c = MathUtil.Radians(Azimuth);
sinalpha_c = Math.Sin(alpha_c);
cosalpha_c = Math.Cos(alpha_c);
double sinphi_0 = Math.Sin(phi_0);
double sin2phi_0 = sinphi_0 * sinphi_0;
double sin4phi_0 = sin2phi_0 * sin2phi_0;
double cosphi_0 = Math.Cos(phi_0);
double cos2phi_0 = cosphi_0 * cosphi_0;
double cos4phi_0 = cos2phi_0 * cos2phi_0;
B = Math.Sqrt(1 + e2 * cos4phi_0 / (1 - e2)); // 9-11
A = a * B * k_0 * Math.Sqrt(1 - e2) / (1 - e2 * sin2phi_0); // 9-12
double t_0 = Math.Tan(Math.PI / 4 - phi_0 / 2) / Math.Pow((1 - e * sinphi_0) / (1 + e * sinphi_0), e / 2); // 9-13
double D = B * Math.Sqrt(1 - e2) / (cosphi_0 * Math.Sqrt(1 - e2 * sin2phi_0)); // 9-14
double D2 = Math.Max(D * D, 1.0);
double F = D + Math.Sign(phi_0) * Math.Sqrt(D2 - 1); // 9-35
E = F * Math.Pow(t_0, B); // 9-36
double G = (F - 1 / F) / 2; // 9-19
double gamma_0 = Math.Asin(sinalpha_c / D); // 9-37
singamma_0 = Math.Sin(gamma_0);
cosgamma_0 = Math.Cos(gamma_0);
lambda_0 = lambda_c - Math.Asin(G * Math.Tan(gamma_0)) / B; // 9-38
}
/// <summary>
/// Updates the constants.
/// </summary>
protected override void UpdateConstants()
{
base.UpdateConstants();
k_0 = ScaleFactor;
a = EllipsoidType.A();
e2 = EllipsoidType.E2();
e4 = e2 * e2;
e6 = e4 * e2;
ep2 = EllipsoidType.Ep2();
e_1 = (1 - Math.Sqrt(1 - e2)) / (1 + Math.Sqrt(1 - e2));
e2_1 = e_1 * e_1;
e3_1 = e2_1 * e_1;
e4_1 = e3_1 * e_1;
lambda_0 = MathUtil.Radians(CentralMeridian);
phi_0 = MathUtil.Radians(LatitudeOrigin);
M_0 = a * ((1 - e2 / 4 - 3 * e4 / 64 - 5 * e6 / 256 /* - ... */) * phi_0 - (3 * e2 / 8 + 3 * e4 / 32 + 45 * e6 / 1024 /* + ... */) * Math.Sin(2 * phi_0) + (15 * e4 / 256 + 45 * e6 / 1024 /* + ... */) * Math.Sin(4 * phi_0) - (35 * e6 / 3072 /* + ... */) * Math.Sin(6 * phi_0) /* + ... */);
}
/// <summary>
/// Updates the constants.
/// </summary>
protected override void UpdateConstants()
{
base.UpdateConstants();
a = EllipsoidType.A();
e2 = EllipsoidType.E2();
e = Math.Sqrt(e2);
e4 = e2 * e2;
e6 = e4 * e2;
e8 = e4 * e4;
double phi_0 = MathUtil.Radians(LatitudeOrigin);
double phi_1 = MathUtil.Radians(StandardParallelSouth);
double phi_2 = MathUtil.Radians(StandardParallelNorth);
lambda_0 = MathUtil.Radians(CentralMeridian);
double cosphi_1 = Math.Cos(phi_1);
double sinphi_1 = Math.Sin(phi_1);
double m_1 = cosphi_1 / Math.Sqrt(1 - e2 * sinphi_1 * sinphi_1); // 14-15(1)
double t_1 = Math.Sqrt(((1 - sinphi_1) / (1 + sinphi_1)) * Math.Pow((1 + e * sinphi_1) / (1 - e * sinphi_1), e)); // 15-9a(1)
double cosphi_2 = Math.Cos(phi_2);
double sinphi_2 = Math.Sin(phi_2);
double m_2 = cosphi_2 / Math.Sqrt(1 - e2 * sinphi_2 * sinphi_2); // 14-15(2)
double t_2 = Math.Sqrt(((1 - sinphi_2) / (1 + sinphi_2)) * Math.Pow((1 + e * sinphi_2) / (1 - e * sinphi_2), e)); // 15-9a(2)
n = (Math.Log(m_1) - Math.Log(m_2)) / (Math.Log(t_1) - Math.Log(t_2)); // 15-8
F = m_1 / (n * Math.Pow(t_1, n)); // 15-10
double sinphi_0 = Math.Sin(phi_0);
double t_0 = Math.Sqrt(((1 - sinphi_0) / (1 + sinphi_0)) * Math.Pow((1 + e * sinphi_0) / (1 - e * sinphi_0), e)); // 15-9a(2)
rho_0 = a * F * Math.Pow(t_0, n); // 15-7(a)
}