/*
** libproj -- library of cartographic projections
**
** Copyright (c) 2003, 2006   Gerald I. Evenden
*/
static const char
LIBPROJ_ID[] = "Id";
/*
** Permission is hereby granted, free of charge, to any person obtaining
** a copy of this software and associated documentation files (the
** "Software"), to deal in the Software without restriction, including
** without limitation the rights to use, copy, modify, merge, publish,
** distribute, sublicense, and/or sell copies of the Software, and to
** permit persons to whom the Software is furnished to do so, subject to
** the following conditions:
**
** The above copyright notice and this permission notice shall be
** included in all copies or substantial portions of the Software.
**
** THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
** EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
** MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
** IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
** CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
** TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
** SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
*/
#define PROJ_PARMS__ \
  double  A, B, E, AB, ArB, BrA, rB, singam, cosgam, sinrot, cosrot; \
  double  v_pole_n, v_pole_s, u_0; \
  int no_rot;
#define PROJ_LIB__
#include  <lib_proj.h>

PROJ_HEAD(omerc, "Oblique Mercator")
  "\n\tCyl, Sph&Ell no_rot\n\t"
"alpha= [gamma=] [no_off] lonc= or\n\t lon_1= lat_1= lon_2= lat_2=";
#define TOL  1.e-7
#define EPS  1.e-10

FORWARD(e_forward); /* ellipsoid */
  double  Q, S, T, U, V, temp, u, v;

  if (fabs(fabs(lp.phi) - HALFPI) > EPS) {
    Q = P->E / pow(proj_tsfn(lp.phi, sin(lp.phi), P->e), P->B);
    temp = 1. / Q;
    S = .5 * (Q - temp);
    T = .5 * (Q + temp);
    V = sin(P->B * lp.lam);
    U = (S * P->singam - V * P->cosgam) / T;
    if (fabs(fabs(U) - 1.0) < EPS)
      F_ERROR;
    v = 0.5 * P->ArB * log((1. - U)/(1. + U));
    temp = cos(P->B * lp.lam);
    u = (fabs(temp) < TOL) ? P->AB * lp.lam :
      P->ArB * atan2((S * P->cosgam + V * P->singam) , temp); 
  } else {
    v = lp.phi > 0 ? P->v_pole_n : P->v_pole_s;
    u = P->ArB * lp.phi;
  }
  if (P->no_rot) {
    xy.x = u;
    xy.y = v;
  } else {
    u -= P->u_0;
    xy.x = v * P->cosrot + u * P->sinrot;
    xy.y = u * P->cosrot - v * P->sinrot;
  }
  return (xy);
}
INVERSE(e_inverse); /* ellipsoid */
  double  u, v, Qp, Sp, Tp, Vp, Up;

  if (P->no_rot) {
    v = xy.y;
    u = xy.x;
  } else {
    v = xy.x * P->cosrot - xy.y * P->sinrot;
    u = xy.y * P->cosrot + xy.x * P->sinrot + P->u_0;
  }
  Qp = exp(- P->BrA * v);
  Sp = .5 * (Qp - 1. / Qp);
  Tp = .5 * (Qp + 1. / Qp);
  Vp = sin(P->BrA * u);
  Up = (Vp * P->cosgam + Sp * P->singam) / Tp;
  if (fabs(fabs(Up) - 1.) < EPS) {
    lp.lam = 0.;
    lp.phi = Up < 0. ? -HALFPI : HALFPI;
  } else {
    lp.phi = P->E / sqrt((1. + Up) / (1. - Up));
    if ((lp.phi = proj_phi2(pow(lp.phi, 1. / P->B), P->e)) == HUGE_VAL)
      I_ERROR;
    lp.lam = - P->rB * atan2((Sp * P->cosgam -
      Vp * P->singam), cos(P->BrA * u));
  }
  return (lp);
}
FREEUP; if (P) free(P); }
ENTRY0(omerc)
  double con, com, cosph0, D, F, H, L, sinph0, p, J, gammaval = 0.,
    gamma0, lamc = 0., lam1 = 0., lam2 = 0., phi1 = 0., phi2 =0., alpha_c = 0.;
  int alp, gam, no_off = 0;

  P->no_rot = proj_param(P->params, "tno_rot").i;
  if ((alp = proj_param(P->params, "talpha").i))
    alpha_c = proj_param(P->params, "ralpha").f;
  if ((gam = proj_param(P->params, "tgamma").i))
    gammaval = proj_param(P->params, "rgamma").f;
  if (alp || gam) {
    lamc  = proj_param(P->params, "rlonc").f;
    no_off = proj_param(P->params, "tno_off").i;
  } else {
    lam1 = proj_param(P->params, "rlon_1").f;
    phi1 = proj_param(P->params, "rlat_1").f;
    lam2 = proj_param(P->params, "rlon_2").f;
    phi2 = proj_param(P->params, "rlat_2").f;
    if (fabs(phi1 - phi2) <= TOL ||
      (con = fabs(phi1)) <= TOL ||
      fabs(con - HALFPI) <= TOL ||
      fabs(fabs(P->phi0) - HALFPI) <= TOL ||
      fabs(fabs(phi2) - HALFPI) <= TOL) E_ERROR(-33);
  }
  com = sqrt(P->one_es);
  if (fabs(P->phi0) > EPS) {
    sinph0 = sin(P->phi0);
    cosph0 = cos(P->phi0);
    con = 1. - P->es * sinph0 * sinph0;
    P->B = cosph0 * cosph0;
    P->B = sqrt(1. + P->es * P->B * P->B / P->one_es);
    P->A = P->B * P->k0 * com / con;
    D = P->B * com / (cosph0 * sqrt(con));
    if ((F = D * D - 1.) <= 0.)
      F = 0.;
    else {
      F = sqrt(F);
      if (P->phi0 < 0.)
        F = -F;
    }
    P->E = F += D;
    P->E *= pow(proj_tsfn(P->phi0, sinph0, P->e), P->B);
  } else {
    P->B = 1. / com;
    P->A = P->k0;
    P->E = D = F = 1.;
  }
  if (alp || gam) {
    if (alp) {
      gamma0 = asin(sin(alpha_c) / D);
      if (!gam)
        gammaval = alpha_c;
    } else
      alpha_c = asin(D*sin(gamma0 = gammaval));
    if ((con = fabs(alpha_c)) <= TOL ||
      fabs(con - PI) <= TOL ||
      fabs(fabs(P->phi0) - HALFPI) <= TOL)
      E_ERROR(-32);
    P->lam0 = lamc - asin(.5 * (F - 1. / F) *
       tan(gamma0)) / P->B;
  } else {
    H = pow(proj_tsfn(phi1, sin(phi1), P->e), P->B);
    L = pow(proj_tsfn(phi2, sin(phi2), P->e), P->B);
    F = P->E / H;
    p = (L - H) / (L + H);
    J = P->E * P->E;
    J = (J - L * H) / (J + L * H);
    if ((con = lam1 - lam2) < -PI)
      lam2 -= TWOPI;
    else if (con > PI)
      lam2 += TWOPI;
    P->lam0 = proj_adjlon(.5 * (lam1 + lam2) - atan(
       J * tan(.5 * P->B * (lam1 - lam2)) / p) / P->B);
    gamma0 = atan(2. * sin(P->B * proj_adjlon(lam1 - P->lam0)) /
       (F - 1. / F));
    gammaval = alpha_c = asin(D * sin(gamma0));
  }
  P->singam = sin(gamma0);
  P->cosgam = cos(gamma0);
  P->sinrot = sin(gammaval);
  P->cosrot = cos(gammaval);
  P->BrA = 1. / (P->ArB = P->A * (P->rB = 1. / P->B));
  P->AB = P->A * P->B;
  if (no_off)
    P->u_0 = 0;
  else {
    P->u_0 = fabs(P->ArB * atan2(sqrt(D * D - 1.), cos(alpha_c)));
    if (P->phi0 < 0.)
      P->u_0 = - P->u_0;
  }
  F = 0.5 * gamma0;
  P->v_pole_n = P->ArB * log(tan(FORTPI - F));
  P->v_pole_s = P->ArB * log(tan(FORTPI + F));
  P->inv = e_inverse;
  P->fwd = e_forward;
ENDENTRY(P)
/*
** Log: proj_omerc.c
** Revision 1.2  2008-11-07 21:40:43  jeff
** ENH: Fixing some proj.4 warnings.
**
** Revision 1.1  2008-11-07 16:41:15  jeff
** ENH: Adding a 2D geoview. Adding the geographic projection library libproj4
** to Utilities. Updating the architecture of the geospatial views. All
** multi-resolution sources are now subclasses of vtkGeoSource. Each source
** has its own worker thread for fetching refined images or geometry.
** On the 3D side, vtkGeoGlobeSource is an appropriate source for vtkGeoTerrain,
** and vtkGeoAlignedImageSource is an appropriate source for
** vtkGeoAlignedImageRepresentation. On the 2D side, vtkGeoProjectionSource is an
** appropriate source for vtkGeoTerrain2D, and the image source is the same.
**
** Revision 3.1  2006/01/11 01:38:18  gie
** Initial
**
*/