/// <inheritdoc />
protected override void OnInverse(double[] xy, double[] lp, int startIndex, int numPoints)
{
for (int i = startIndex; i < startIndex + numPoints; i++)
{
int phi = i * 2 + PHI;
int lam = i * 2 + LAMBDA;
int x = i * 2 + X;
int y = i * 2 + Y;
lp[phi] = Proj.Aasin(xy[y] / _cY);
lp[lam] = xy[x] / (_cX * Math.Cos(lp[phi]));
lp[phi] += lp[phi];
lp[phi] = Proj.Aasin((lp[phi] + Math.Sin(lp[phi])) / _cP);
}
}
/// <inheritdoc />
protected override void OnInverse(double[] xy, double[] lp, int startIndex, int numPoints)
{
for (int i = startIndex; i < startIndex + numPoints; i++)
{
int phi = i * 2 + PHI;
int lam = i * 2 + LAMBDA;
int x = i * 2 + X;
int y = i * 2 + Y;
double us, vs;
if (!_rot)
{
us = xy[x];
vs = xy[y];
}
else
{
vs = xy[x] * _cosrot - xy[y] * _sinrot;
us = xy[y] * _cosrot + xy[x] * _sinrot;
}
us += _u0;
double q = Math.Exp(-_bl * vs / _al);
double s = .5 * (q - 1 / q);
double vl = Math.Sin(_bl * us / _al);
double ul = 2 * (vl * _cosgam + s * _singam) / (q + 1 / q);
if (Math.Abs(Math.Abs(ul) - 1) < EPS10)
{
lp[lam] = 0;
lp[phi] = ul < 0 ? -HALF_PI : HALF_PI;
}
else
{
lp[phi] = _el / Math.Sqrt((1 + ul) / (1 - ul));
if (_ellips)
{
if ((lp[phi] = Proj.Phi2(Math.Pow(lp[phi], 1 / _bl), E)) == double.MaxValue)
{
lp[lam] = double.NaN;
lp[phi] = double.NaN;
continue;
//ProjectionException(20);
}
}
else
{
lp[phi] = HALF_PI - 2 * Math.Atan(lp[phi]);
}
lp[lam] = -Math.Atan2((s * _cosgam - vl * _singam), Math.Cos(_bl * us / _al)) / _bl;
}
}
}
/// <inheritdoc />
protected override void OnInverse(double[] xy, double[] lp, int startIndex, int numPoints)
{
for (int i = startIndex; i < startIndex + numPoints; i++)
{
int phi = i * 2 + PHI;
int lam = i * 2 + LAMBDA;
int x = i * 2 + X;
int y = i * 2 + Y;
double c;
lp[phi] = Proj.Aasin(xy[y] / CY);
lp[lam] = xy[x] / (CX * (1 + (c = Math.Cos(lp[phi]))));
lp[phi] = Proj.Aasin((lp[phi] + Math.Sin(lp[phi]) * (c + 2)) / CP);
}
}
/// <inheritdoc />
protected override void EllipticalForward(double[] lp, double[] xy, int startIndex, int numPoints)
{
for (int i = startIndex; i < startIndex + numPoints; i++)
{
int phi = i * 2 + PHI;
int lam = i * 2 + LAMBDA;
int x = i * 2 + X;
int y = i * 2 + Y;
double sinX = 0.0, cosX = 0.0;
double coslam = Math.Cos(lp[lam]);
double sinlam = Math.Sin(lp[lam]);
double sinphi = Math.Sin(lp[phi]);
if (_mode == Modes.Oblique || _mode == Modes.Equitorial)
{
double cx;
sinX = Math.Sin(cx = 2 * Math.Atan(Ssfn(lp[phi], sinphi, E)) - HALF_PI);
cosX = Math.Cos(cx);
}
if (_mode == Modes.Oblique || _mode == Modes.Equitorial)
{
double a;
if (_mode == Modes.Oblique)
{
a = _akm1 / (_cosX1 * (1 + _sinX1 * sinX +
_cosX1 * cosX * coslam));
xy[y] = a * (_cosX1 * sinX - _sinX1 * cosX * coslam);
}
else
{
a = 2 * _akm1 / (1 + cosX * coslam);
xy[y] = a * sinX;
}
xy[x] = a * cosX;
}
else
{
if (_mode == Modes.SouthPole)
{
lp[phi] = -lp[phi];
coslam = -coslam;
sinphi = -sinphi;
}
xy[x] = _akm1 * Proj.Tsfn(lp[phi], sinphi, E);
xy[y] = -xy[x] * coslam;
}
xy[x] = xy[x] * sinlam;
}
}
/// <inheritdoc />
protected override void EllipticalForward(double[] lp, double[] xy, int startIndex, int numPoints)
{
for (int i = startIndex; i < startIndex + numPoints; i++)
{
int phi = i * 2 + PHI;
int lam = i * 2 + LAMBDA;
int x = i * 2 + X;
int y = i * 2 + Y;
double e, c;
double rh = _am1 + _m1 - Proj.Mlfn(lp[phi], e = Math.Sin(lp[phi]), c = Math.Cos(lp[phi]), _en);
e = c * lp[lam] / (rh * Math.Sqrt(1 - Es * e * e));
xy[x] = rh * Math.Sin(e);
xy[y] = _am1 - rh * Math.Cos(e);
}
}
/// <summary>
/// Initializes the transform using the parameters from the specified coordinate system information
/// </summary>
/// <param name="projInfo">A ProjectionInfo class contains all the standard and custom parameters needed to initialize this transform</param>
protected override void OnInit(ProjectionInfo projInfo)
{
double sinphi;
if (projInfo.StandardParallel1 != null)
{
_phi1 = projInfo.StandardParallel1.Value * Math.PI / 180;
}
if (projInfo.StandardParallel2 != null)
{
_phi2 = projInfo.StandardParallel2.Value * Math.PI / 180;
}
if (Math.Abs(_phi1 + _phi2) < EPS10)
{
throw new ProjectionException(-21);
}
_en = Proj.Enfn(Es);
_n = sinphi = Math.Sin(_phi1);
double cosphi = Math.Cos(_phi1);
bool secant = Math.Abs(_phi1 - _phi2) >= EPS10;
if (IsElliptical)
{
double m1 = Proj.Msfn(sinphi, cosphi, Es);
double ml1 = Proj.Mlfn(_phi1, sinphi, cosphi, _en);
if (secant)
{
/* secant cone */
sinphi = Math.Sin(_phi2);
cosphi = Math.Cos(_phi2);
_n = (m1 - Proj.Msfn(sinphi, cosphi, Es)) /
(Proj.Mlfn(_phi2, sinphi, cosphi, _en) - ml1);
}
_c = ml1 + m1 / _n;
_rho0 = _c - Proj.Mlfn(Phi0, Math.Sin(Phi0),
Math.Cos(Phi0), _en);
}
else
{
if (secant)
{
_n = (cosphi - Math.Cos(_phi2)) / (_phi2 - _phi1);
}
_c = _phi1 + Math.Cos(_phi1) / _n;
_rho0 = _c - Phi0;
}
}
/// <inheritdoc />
protected override void OnForward(double[] lp, double[] xy, int startIndex, int numPoints)
{
for (int i = startIndex; i < startIndex + numPoints; i++)
{
int phi = i * 2 + PHI;
int lam = i * 2 + LAMBDA;
int x = i * 2 + X;
int y = i * 2 + Y;
_rho = _c - (IsElliptical
? Proj.Mlfn(lp[phi], Math.Sin(lp[phi]),
Math.Cos(lp[phi]), _en)
: lp[phi]);
xy[x] = _rho * Math.Sin(lp[lam] *= _n);
xy[y] = _rho0 - _rho * Math.Cos(lp[lam]);
}
}
/// <inheritdoc />
protected override void SphericalInverse(double[] xy, double[] lp, int startIndex, int numPoints)
{
for (int i = startIndex; i < startIndex + numPoints; i++)
{
int phi = i * 2 + PHI;
int lam = i * 2 + LAMBDA;
int x = i * 2 + X;
int y = i * 2 + Y;
xy[y] /= _cY;
lp[phi] = _m > 0
? Proj.Aasin((_m * xy[y] + Math.Sin(xy[y])) / _n)
:
(_n != 1 ? Proj.Aasin(Math.Sin(xy[y]) / _n) : xy[y]);
lp[lam] = xy[x] / (_cX * (_m + Math.Cos(xy[y])));
}
}
private void GuamForward(double[] lp, double[] xy, int startIndex, int numPoints)
{
for (int i = startIndex; i < startIndex + numPoints; i++)
{
int phi = i * 2 + PHI;
int lam = i * 2 + LAMBDA;
int x = i * 2 + X;
int y = i * 2 + Y;
double cosphi = Math.Cos(lp[phi]);
double sinphi = Math.Sin(lp[phi]);
double t = 1 / Math.Sqrt(1 - Es * sinphi * sinphi);
xy[x] = lp[lam] * cosphi * t;
xy[y] = Proj.Mlfn(lp[phi], sinphi, cosphi, _en) - _m1 +
.5 * lp[lam] * lp[lam] * cosphi * sinphi * t;
}
}
/// <inheritdoc />
protected override void OnInverse(double[] xy, double[] lp, int startIndex, int numPoints)
{
for (int i = startIndex; i < startIndex + numPoints; i++)
{
int phi = i * 2 + PHI;
int lam = i * 2 + LAMBDA;
int x = i * 2 + X;
int y = i * 2 + Y;
double cx = xy[x] / K0;
double cy = _rho0 - xy[y] / K0;
_rho = Math.Sqrt(cx * cx + cy * cy);
if (_rho != 0.0)
{
if (_n < 0)
{
_rho = -_rho;
cx = -cx;
cy = -cy;
}
if (_ellipse)
{
double temp = Math.Pow(_rho / _c, 1 / _n);
lp[phi] = Proj.Phi2(temp, E);
if (lp[phi] == double.MaxValue)
{
lp[lam] = double.NaN;
lp[phi] = double.NaN;
continue;
//throw new ProjectionException(20);
}
}
else
{
lp[phi] = 2 * Math.Atan(Math.Pow(_c / _rho, 1 / _n)) - HALF_PI;
}
lp[lam] = Math.Atan2(cx, cy) / _n;
}
else
{
lp[lam] = 0;
lp[phi] = _n > 0 ? HALF_PI : -HALF_PI;
}
}
}
/// <summary>
/// Initializes the transform using the parameters from the specified coordinate system information
/// </summary>
/// <param name="projInfo">A ProjectionInfo class contains all the standard and custom parameters needed to initialize this transform</param>
protected override void OnInit(ProjectionInfo projInfo)
{
double phip0;
_hlfE = 0.5 * E;
double cp = Math.Cos(Phi0);
cp *= cp;
_c = Math.Sqrt(1 + Es * cp * cp * ROneEs);
double sp = Math.Sin(Phi0);
_cosp0 = Math.Cos(phip0 = Proj.Aasin(_sinp0 = sp / _c));
sp *= E;
_k = Math.Log(Math.Tan(FORT_PI + 0.5 * phip0)) - _c * (
Math.Log(Math.Tan(FORT_PI + 0.5 * Phi0)) - _hlfE *
Math.Log((1 + sp) / (1 - sp)));
_kR = K0 * Math.Sqrt(OneEs) / (1 - sp * sp);
}
/// <inheritdoc />
protected override void EllipticalInverse(double[] xy, double[] lp, int startIndex, int numPoints)
{
for (int i = startIndex; i < startIndex + numPoints; i++)
{
int phi = i * 2 + PHI;
int lam = i * 2 + LAMBDA;
int x = i * 2 + X;
int y = i * 2 + Y;
if ((lp[phi] = Proj.Phi2(Math.Exp(-xy[y] / K0), E)) == double.MaxValue)
{
lp[lam] = double.NaN;
lp[phi] = double.NaN;
continue;
//throw new ProjectionException(20);
}
lp[lam] = xy[x] / K0;
}
}
/// <inheritdoc />
protected override void OnInverse(double[] xy, double[] lp, int startIndex, int numPoints)
{
for (int i = startIndex; i < startIndex + numPoints; i++)
{
int phi = i * 2 + PHI;
int lam = i * 2 + LAMBDA;
int x = i * 2 + X;
int y = i * 2 + Y;
int nn;
double[] p = new double[2];
double[] dp = new double[2];
p[R] = xy[y];
p[I] = xy[x];
for (nn = 20; nn > 0; --nn)
{
double[] fp;
double[] f = Proj.Zpolyd1(p, _bf, NBF, out fp);
f[R] -= xy[y];
f[I] -= xy[x];
double den = fp[R] * fp[R] + fp[I] * fp[I];
p[R] += dp[R] = -(f[R] * fp[R] + f[I] * fp[I]) / den;
p[I] += dp[I] = -(f[I] * fp[R] - f[R] * fp[I]) / den;
if ((Math.Abs(dp[R]) + Math.Abs(dp[I])) <= EPS10)
{
break;
}
}
if (nn > 0)
{
lp[lam] = p[I];
lp[phi] = _tphi[NTPHI];
for (int j = NTPHI - 1; j >= 0; j--)
{
lp[phi] = _tphi[j] + p[R] * lp[phi];
}
lp[phi] = Phi0 + p[R] * lp[phi] * SEC5_TO_RAD;
}
else
{
lp[lam] = lp[phi] = double.MaxValue;
}
}
}
/// <inheritdoc />
protected override void EllipticalForward(double[] lp, double[] xy, int startIndex, int numPoints)
{
for (int i = startIndex; i < startIndex + numPoints; i++)
{
int phi = i * 2 + PHI;
int lam = i * 2 + LAMBDA;
int x = i * 2 + X;
int y = i * 2 + Y;
if (Math.Abs(Math.Abs(lp[phi]) - HALF_PI) <= EPS10)
{
xy[x] = double.NaN;
xy[y] = double.NaN;
continue;
//throw new ProjectionException(20);
}
xy[x] = K0 * lp[lam];
xy[y] = -K0 *Math.Log(Proj.Tsfn(lp[phi], Math.Sin(lp[phi]), E));
}
}
/// <summary>
/// Special factor calculations for a factors calculation
/// </summary>
/// <param name="lp">lambda-phi</param>
/// <param name="p">The projection</param>
/// <param name="fac">The Factors</param>
protected override void OnSpecial(double[] lp, ProjectionInfo p, Factors fac)
{
if (Math.Abs(Math.Abs(lp[PHI]) - HALF_PI) < EPS10)
{
if ((lp[PHI] * _n) <= 0)
{
return;
}
_rho = 0;
}
else
{
_rho = _c * (_ellipse ? Math.Pow(Proj.Tsfn(lp[PHI], Math.Sin(lp[PHI]),
p.GeographicInfo.Datum.Spheroid.Eccentricity()), _n)
: Math.Pow(Math.Tan(Math.PI / 4 + .5 * lp[PHI]), -_n));
}
fac.Code = AnalyticModes.IsAnalHk | AnalyticModes.IsAnalConv;
fac.K = fac.H = p.ScaleFactor * _n * _rho / Proj.Msfn(Math.Sin(lp[PHI]), Math.Cos(lp[PHI]), p.GeographicInfo.Datum.Spheroid.EccentricitySquared());
fac.Conv = -_n * lp[LAMBDA];
}
/// <summary>
/// Internal code handling the setup operations for the transform
/// </summary>
protected void Setup()
{
double sinphi;
if (Math.Abs(_phi1 + _phi2) < EPS10)
{
throw new ProjectionException(-21);
}
_n = sinphi = Math.Sin(_phi1);
double cosphi = Math.Cos(_phi1);
bool secant = Math.Abs(_phi1 - _phi2) >= EPS10;
if (IsElliptical)
{
double m1 = Proj.Msfn(sinphi, cosphi, Es);
double ml1 = Proj.Qsfn(sinphi, E, OneEs);
if (secant)
{ /* secant cone */
sinphi = Math.Sin(_phi2);
cosphi = Math.Cos(_phi2);
double m2 = Proj.Msfn(sinphi, cosphi, Es);
double ml2 = Proj.Qsfn(sinphi, E, OneEs);
_n = (m1 * m1 - m2 * m2) / (ml2 - ml1);
}
_ec = 1 - .5 * OneEs * Math.Log((1 - E) / (1 + E)) / E;
_c = m1 * m1 + _n * ml1;
_dd = 1 / _n;
_rho0 = _dd * Math.Sqrt(_c - _n * Proj.Qsfn(Math.Sin(Phi0), E, OneEs));
}
else
{
if (secant)
{
_n = .5 * (_n + Math.Sin(_phi2));
}
_n2 = _n + _n;
_c = cosphi * cosphi + _n2 * sinphi;
_dd = 1 / _n;
_rho0 = _dd * Math.Sqrt(_c - _n2 * Math.Sin(Phi0));
}
}
/// <summary>
/// Initializes the transform using the parameters from the specified coordinate system information
/// </summary>
/// <param name="projInfo">A ProjectionInfo class contains all the standard and custom parameters needed to initialize this transform</param>
protected override void OnInit(ProjectionInfo projInfo)
{
if (projInfo.AuxiliarySphereType == AuxiliarySphereType.AuthalicWithConvertedLatitudes)
{
throw new NotSupportedException("The conversion which requries latitude conversion to authalic latitudes is not yet supported");
}
double phits = 0.0;
bool isPhits = false;
if (projInfo.StandardParallel1 != null)
{
isPhits = true;
phits = projInfo.Phi1;
if (phits >= HALF_PI)
{
throw new ProjectionException(-24);
}
}
if (IsElliptical)
{ /* ellipsoid */
if (isPhits)
{
K0 = Proj.Msfn(Math.Sin(phits), Math.Cos(phits), Es);
}
}
else
{ /* sphere */
if (isPhits)
{
K0 = Math.Cos(phits);
}
}
if (projInfo.AuxiliarySphereType == AuxiliarySphereType.AuthalicWithConvertedLatitudes)
{
Spheroid sph = new Spheroid(Proj4Ellipsoid.WGS_1984);
_ae = Math.Acos(sph.PolarRadius / sph.EquatorialRadius);
_geodeticToAuthalic = true;
}
}
/// <inheritdoc />
protected override void OnForward(double[] lp, double[] xy, int startIndex, int numPoints)
{
for (int i = startIndex; i < startIndex + numPoints; i++)
{
int phi = i * 2 + PHI;
int lam = i * 2 + LAMBDA;
int x = i * 2 + X;
int y = i * 2 + Y;
double sp = E * Math.Sin(lp[phi]);
double phip = 2 * Math.Atan(Math.Exp(_c * (
Math.Log(Math.Tan(FORT_PI + 0.5 * lp[phi])) -
_hlfE * Math.Log((1 + sp) / (1 - sp)))
+ _k)) - HALF_PI;
double lamp = _c * lp[lam];
double cp = Math.Cos(phip);
double phipp = Proj.Aasin(_cosp0 * Math.Sin(phip) - _sinp0 * cp * Math.Cos(lamp));
double lampp = Proj.Aasin(cp * Math.Sin(lamp) / Math.Cos(phipp));
xy[x] = _kR * lampp;
xy[y] = _kR * Math.Log(Math.Tan(FORT_PI + 0.5 * phipp));
}
}
/// <inheritdoc />
protected override void EllipticalForward(double[] lp, double[] xy, int startIndex, int numPoints)
{
for (int i = startIndex; i < startIndex + numPoints; i++)
{
int phi = i * 2 + PHI;
int lam = i * 2 + LAMBDA;
int x = i * 2 + X;
int y = i * 2 + Y;
xy[y] = Proj.Mlfn(lp[phi], _n = Math.Sin(lp[phi]), _c = Math.Cos(lp[phi]), _en);
_n = 1 / Math.Sqrt(1 - Es * _n * _n);
_tn = Math.Tan(lp[phi]);
_t = _tn * _tn;
_a1 = lp[lam] * _c;
_c *= Es * _c / (1 - Es);
_a2 = _a1 * _a1;
xy[x] = _n * _a1 * (1 - _a2 * _t *
(C1 - (8 - _t + 8 * _c) * _a2 * C2));
xy[y] -= _m0 - _n * _tn * _a2 *
(.5 + (5 - _t + 6 * _c) * _a2 * C3);
}
}
/// <inheritdoc />
protected override void EllipticalInverse(double[] xy, double[] lp, int startIndex, int numPoints)
{
for (int i = startIndex; i < startIndex + numPoints; i++)
{
int phi = i * 2 + PHI;
int lam = i * 2 + LAMBDA;
int x = i * 2 + X;
int y = i * 2 + Y;
double det;
/* Setting three components of vector from satellite to position.*/
double vx = -1.0;
double vy = Math.Tan(xy[x] / _radiusG1);
double vz = Math.Tan(xy[y] / _radiusG1) * Proj.Hypot(1.0, vy);
/* Calculation of terms in cubic equation and determinant.*/
double a = vz / _radiusP;
a = vy * vy + a * a + vx * vx;
double b = 2 * _radiusG * vx;
if ((det = (b * b) - 4 * a * _c) < 0)
{
lp[lam] = double.NaN;
lp[phi] = double.NaN;
continue;
//throw new ProjectionException(20);
}
/* Calculation of three components of vector from satellite to position.*/
double k = (-b - Math.Sqrt(det)) / (2 * a);
vx = _radiusG + k * vx;
vy *= k;
vz *= k;
/* Calculation of longitude and latitude.*/
lp[lam] = Math.Atan2(vy, vx);
lp[phi] = Math.Atan(vz * Math.Cos(lp[lam]) / vx);
lp[phi] = Math.Atan(_radiusPInv2 * Math.Tan(lp[phi]));
}
}
private void GuamInverse(double[] xy, double[] lp, int startIndex, int numPoints)
{
for (int i = startIndex; i < startIndex + numPoints; i++)
{
int phi = i * 2 + PHI;
int lam = i * 2 + LAMBDA;
int x = i * 2 + X;
int y = i * 2 + Y;
double t = 0;
int j;
double x2 = 0.5 * xy[x] * xy[x];
lp[phi] = Phi0;
for (j = 0; j < 3; ++j)
{
t = E * Math.Sin(lp[phi]);
lp[phi] = Proj.InvMlfn(_m1 + xy[y] -
x2 * Math.Tan(lp[phi]) * (t = Math.Sqrt(1 - t * t)), Es, _en);
}
lp[lam] = xy[x] * t / Math.Cos(lp[phi]);
}
}
/// <inheritdoc />
protected override void OnInverse(double[] xy, double[] lp, int startIndex, int numPoints)
{
for (int i = startIndex; i < startIndex + numPoints; i++)
{
int phi = i * 2 + PHI;
int lam = i * 2 + LAMBDA;
int x = i * 2 + X;
int y = i * 2 + Y;
xy[y] /= _cY;
double c = Math.Cos(lp[phi] = _tanMode ? Math.Atan(xy[y]) : Proj.Aasin(xy[y]));
lp[phi] /= _cP;
lp[lam] = xy[x] / (_cX * Math.Cos(lp[phi] /= _cP));
if (_tanMode)
{
lp[lam] /= c * c;
}
else
{
lp[lam] *= c;
}
}
}
/// <inheritdoc />
protected override void OnInverse(double[] xy, double[] lp, int startIndex, int numPoints)
{
for (int i = startIndex; i < startIndex + numPoints; i++)
{
int phi = i * 2 + PHI;
int lam = i * 2 + LAMBDA;
int x = i * 2 + X;
int y = i * 2 + Y;
int j;
double phipp = 2 * (Math.Atan(Math.Exp(xy[y] / _kR)) - FORT_PI);
double lampp = xy[x] / _kR;
double cp = Math.Cos(phipp);
double phip = Proj.Aasin(_cosp0 * Math.Sin(phipp) + _sinp0 * cp * Math.Cos(lampp));
double lamp = Proj.Aasin(cp * Math.Sin(lampp) / Math.Cos(phip));
double con = (_k - Math.Log(Math.Tan(FORT_PI + 0.5 * phip))) / _c;
for (j = NITER; j > 0; --j)
{
double esp = E * Math.Sin(phip);
double delp = (con + Math.Log(Math.Tan(FORT_PI + 0.5 * phip)) - _hlfE *
Math.Log((1 + esp) / (1 - esp))) *
(1 - esp * esp) * Math.Cos(phip) * ROneEs;
phip -= delp;
if (Math.Abs(delp) < EPS)
{
break;
}
}
if (j <= 0)
{
lp[lam] = double.NaN;
lp[phi] = double.NaN;
continue;
//ProjectionException(20);
}
lp[phi] = phip;
lp[lam] = lamp / _c;
}
}
/// <summary>
/// Initializes the transform using the parameters from the specified coordinate system information
/// </summary>
/// <param name="projInfo">A ProjectionInfo class contains all the standard and custom parameters needed to initialize this transform</param>
protected override void OnInit(ProjectionInfo projInfo)
{
double pp;
/* get control point locations */
double phi1 = projInfo.Phi1;
double lam1 = projInfo.Lam1;
double phi2 = projInfo.Phi2;
double lam2 = projInfo.Lam2;
if (phi1 == phi2 && lam1 == lam2)
{
throw new ProjectionException(-25);
}
Lam0 = Proj.Adjlon(0.5 * (lam1 + lam2));
_dlam2 = Proj.Adjlon(lam2 - lam1);
_cp1 = Math.Cos(phi1);
_cp2 = Math.Cos(phi2);
_sp1 = Math.Sin(phi1);
_sp2 = Math.Sin(phi2);
_cs = _cp1 * _sp2;
_sc = _sp1 * _cp2;
_ccs = _cp1 * _cp2 * Math.Sin(_dlam2);
_z02 = Proj.Aacos(_sp1 * _sp2 + _cp1 * _cp2 * Math.Cos(_dlam2));
_hz0 = .5 * _z02;
double a12 = Math.Atan2(_cp2 * Math.Sin(_dlam2),
_cp1 * _sp2 - _sp1 * _cp2 * Math.Cos(_dlam2));
_ca = Math.Cos(pp = Proj.Aasin(_cp1 * Math.Sin(a12)));
_sa = Math.Sin(pp);
_lp = Proj.Adjlon(Math.Atan2(_cp1 * Math.Cos(a12), _sp1) - _hz0);
_dlam2 *= .5;
_lamc = HALF_PI - Math.Atan2(Math.Sin(a12) * _sp1, Math.Cos(a12)) - _dlam2;
_thz0 = Math.Tan(_hz0);
_rhshz0 = .5 / Math.Sin(_hz0);
_r2Z0 = 0.5 / _z02;
_z02 *= _z02;
}
/// <inheritdoc />
protected override void EllipticalInverse(double[] xy, double[] lp, int startIndex, int numPoints)
{
for (int i = startIndex; i < startIndex + numPoints; i++)
{
int phi = i * 2 + PHI;
int lam = i * 2 + LAMBDA;
int x = i * 2 + X;
int y = i * 2 + Y;
double ph1 = Proj.InvMlfn(_m0 + xy[y], Es, _en);
_tn = Math.Tan(ph1);
_t = _tn * _tn;
_n = Math.Sin(ph1);
_r = 1 / (1 - Es * _n * _n);
_n = Math.Sqrt(_r);
_r *= (1 - Es) * _n;
_dd = xy[x] / _n;
_d2 = _dd * _dd;
lp[phi] = ph1 - (_n * _tn / _r) * _d2 *
(.5 - (1 + 3 * _t) * _d2 * C3);
lp[lam] = _dd * (1 + _t * _d2 *
(-C4 + (1 + 3 * _t) * _d2 * C5)) / Math.Cos(ph1);
}
}
/// <inheritdoc />
protected override void OnForward(double[] lp, double[] xy, int startIndex, int numPoints)
{
for (int i = startIndex; i < startIndex + numPoints; i++)
{
int phi = i * 2 + PHI;
int lam = i * 2 + LAMBDA;
int x = i * 2 + X;
int y = i * 2 + Y;
if (Math.Abs(Math.Abs(lp[phi]) - HALF_PI) < EPS10)
{
if (lp[phi] * _n <= 0)
{
xy[x] = double.NaN;
xy[y] = double.NaN;
continue;
//throw new ProjectionException(20);
}
_rho = 0;
}
else
{
double cx;
if (_ellipse)
{
cx = Math.Pow(Proj.Tsfn(lp[phi], Math.Sin(lp[phi]), E), _n);
}
else
{
cx = Math.Pow(Math.Tan(Math.PI / 4 + .5 * lp[phi]), -_n);
}
_rho = _c * cx;
}
double nLam = lp[lam] * _n;
xy[x] = K0 * (_rho * Math.Sin(nLam));
xy[y] = K0 * (_rho0 - _rho * Math.Cos(nLam));
}
}
/// <inheritdoc />
protected override void EllipticalForward(double[] lp, double[] xy, int startIndex, int numPoints)
{
for (int i = startIndex; i < startIndex + numPoints; i++)
{
int phi = i * 2 + PHI;
int lam = i * 2 + LAMBDA;
int x = i * 2 + X;
int y = i * 2 + Y;
if (Math.Abs(lp[phi]) <= TOL)
{
xy[x] = lp[lam];
xy[y] = -_ml0;
}
else
{
double sp = Math.Sin(lp[phi]);
double cp;
double ms = Math.Abs(cp = Math.Cos(lp[phi])) > TOL?Proj.Msfn(sp, cp, Es) / sp : 0;
xy[x] = ms * Math.Sin(lp[lam] *= sp);
xy[y] = (Proj.Mlfn(lp[phi], sp, cp, _en) - _ml0) + ms * (1 - Math.Cos(lp[lam]));
}
}
}
/// <inheritdoc />
protected override void OnForward(double[] lp, double[] xy, int startIndex, int numPoints)
{
for (int i = startIndex; i < startIndex + numPoints; i++)
{
int phi = i * 2 + PHI;
int lam = i * 2 + LAMBDA;
int x = i * 2 + X;
int y = i * 2 + Y;
double[] p = new double[2];
lp[phi] = (lp[phi] - Phi0) * RAD_TO_SEC5;
p[R] = _tpsi[NTPSI];
for (int j = NTPSI - 1; j >= 0; j--)
{
p[R] = _tpsi[j] + lp[phi] * p[R];
}
p[R] *= lp[phi];
p[I] = lp[lam];
p = Proj.Zpoly1(p, _bf, NBF);
xy[x] = p[I];
xy[y] = p[R];
}
}
/// <inheritdoc />
protected override void OnForward(double[] lp, double[] xy, int startIndex, int numPoints)
{
for (int i = startIndex; i < startIndex + numPoints; i++)
{
int phi = i * 2 + PHI;
int lam = i * 2 + LAMBDA;
int x = i * 2 + X;
int y = i * 2 + Y;
double t, dl1, dl2;
double sp = Math.Sin(lp[phi]);
double cp = Math.Cos(lp[phi]);
double z1 = Proj.Aacos(_sp1 * sp + _cp1 * cp * Math.Cos(dl1 = lp[lam] + _dlam2));
double z2 = Proj.Aacos(_sp2 * sp + _cp2 * cp * Math.Cos(dl2 = lp[lam] - _dlam2));
z1 *= z1;
z2 *= z2;
xy[x] = _r2Z0 * (t = z1 - z2);
t = _z02 - t;
xy[y] = _r2Z0 * Proj.Asqrt(4 * _z02 * z2 - t * t);
if ((_ccs * sp - cp * (_cs * Math.Sin(dl1) - _sc * Math.Sin(dl2))) < 0)
{
xy[y] = -xy[y];
}
}
}
/// <inheritdoc />
protected override void OnForward(double[] lp, double[] xy, int startIndex, int numPoints)
{
for (int i = startIndex; i < startIndex + numPoints; i++)
{
int phi = i * 2 + PHI;
int lam = i * 2 + LAMBDA;
int x = i * 2 + X;
int y = i * 2 + Y;
if ((_rho = _c - (IsElliptical
? _n * Proj.Qsfn(Math.Sin(lp[phi]),
E, OneEs)
: _n2 *Math.Sin(lp[phi]))) < 0)
{
xy[x] = double.NaN;
xy[y] = double.NaN;
continue;
//throw new ProjectionException(20);
}
_rho = _dd * Math.Sqrt(_rho);
xy[x] = _rho * Math.Sin(lp[lam] *= _n);
xy[y] = _rho0 - _rho * Math.Cos(lp[lam]);
}
}