/*
** 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  P, Pp, Q, Qp, R_1, R_2, sphi_1, sphi_2, C2; \
  double  phi_1, phi_2, lam_1; \
  void  *en; \
  int  mode; /* = 0, phi_1 and phi_2 != 0, = 1, phi_1 = 0, = -1 phi_2 = 0 */
#define PROJ_LIB__
#include  <lib_proj.h>
PROJ_HEAD(imw_p, "International Map of the World Polyconic")
  "\n\tMod. Polyconic, Ell\n\tlat_1= and lat_2= [lon_1=]";
#define TOL 1e-10
#define EPS 1e-10
  static int
phi12(PROJ *P, double *del, double *sig) {
  int err = 0;

  if (!proj_param(P->params, "tlat_1").i ||
    !proj_param(P->params, "tlat_2").i) {
    err = -41;
  } else {
    P->phi_1 = proj_param(P->params, "rlat_1").f;
    P->phi_2 = proj_param(P->params, "rlat_2").f;
    *del = 0.5 * (P->phi_2 - P->phi_1);
    *sig = 0.5 * (P->phi_2 + P->phi_1);
    err = (fabs(*del) < EPS || fabs(*sig) < EPS) ? -42 : 0;
  }
  return err;
}
  static PROJ_XY
loc_for(PROJ_LP lp, PROJ *P, double *yc) {
  PROJ_XY xy;
  double xa, ya, xb, yb, xc, D, B, m, sp, t, R=0., C;

  sp = sin(lp.phi);
  m = proj_mdist(lp.phi, sp, cos(lp.phi), P->en);
  xa = P->Pp + P->Qp * m;
  ya = P->P + P->Q * m;
  if (lp.phi) {
    R = 1. / (tan(lp.phi) * sqrt(1. - P->es * sp * sp));
    C = sqrt(R * R - xa * xa);
    if (lp.phi < 0.) C = - C;
    C += ya - R;
  } else
    C = 0.;
  if (P->mode < 0) {
    xb = lp.lam;
    yb = P->C2;
  } else {
    t = lp.lam * P->sphi_2;
    xb = P->R_2 * sin(t);
    yb = P->C2 + P->R_2 * (1. - cos(t));
  }
  if (P->mode > 0) {
    xc = lp.lam;
    *yc = 0.;
  } else {
    t = lp.lam * P->sphi_1;
    xc = P->R_1 * sin(t);
    *yc = P->R_1 * (1. - cos(t));
  }
  if (lp.phi) {
    D = (xb - xc)/(yb - *yc);
    B = xc + D * (C + R - *yc);
    xy.x = D * sqrt(R * R * (1. + D * D) - B * B);
    if (lp.phi > 0)
      xy.x = - xy.x;
    xy.x = (B + xy.x) / (1. + D * D);
    xy.y = sqrt(R * R - xy.x * xy.x);
    if (lp.phi > 0)
      xy.y = - xy.y;
    xy.y += C + R;
  } else {
    xy.x = lp.lam;
    xy.y = C;
  }
  return (xy);
}
FORWARD(e_forward); /* ellipsoid */
  double yc;
  xy = loc_for(lp, P, &yc);
  return (xy);
}
INVERSE(e_inverse); /* ellipsoid */
  PROJ_XY t;
  double yc;

  lp.phi = P->phi_2;
  lp.lam = xy.x / cos(lp.phi);
  do {
    t = loc_for(lp, P, &yc);
    lp.phi = ((lp.phi - P->phi_1) * (xy.y - yc) / (t.y - yc)) + P->phi_1;
    if (lp.lam)
      lp.lam = lp.lam * xy.x / t.x;
  } while (fabs(t.x - xy.x) > TOL || fabs(t.y - xy.y) > TOL);
  return (lp);
}
  static void
xy(PROJ *P, double phi, double *x, double *y, double *sp, double *R) {
  double F;

  *sp = sin(phi);
  *R = 1./(tan(phi) * sqrt(1. - P->es * *sp * *sp ));
  F = P->lam_1 * *sp;
  *y = *R * (1 - cos(F));
  *x = *R * sin(F);
}
FREEUP; if (P) { if (P->en) free(P->en); free(P); } }
ENTRY1(imw_p, en)
  double del, sig, s, t, x1, x2, T2, y1val, m1, m2, y2;
  int i;

  if (!((P->en = proj_mdist_ini(P->es)))) E_ERROR_0;
  if ((i = phi12(P, &del, &sig)))
    E_ERROR(i);
  if (P->phi_2 < P->phi_1) { /* make sure P->phi_1 most southerly */
    del = P->phi_1;
    P->phi_1 = P->phi_2;
    P->phi_2 = del;
  }
  if (proj_param(P->params, "tlon_1").i)
    P->lam_1 = proj_param(P->params, "rlon_1").f;
  else { /* use predefined based upon latitude */
    sig = fabs(sig * RAD_TO_DEG);
    if (sig <= 60)    sig = 2.;
    else if (sig <= 76) sig = 4.;
    else        sig = 8.;
    P->lam_1 = sig * DEG_TO_RAD;
  }
  P->mode = 0;
  if (P->phi_1) xy(P, P->phi_1, &x1, &y1val, &P->sphi_1, &P->R_1);
  else {
    P->mode = 1;
    y1val = 0.;
    x1 = P->lam_1;
  }
  if (P->phi_2) xy(P, P->phi_2, &x2, &T2, &P->sphi_2, &P->R_2);
  else {
    P->mode = -1;
    T2 = 0.;
    x2 = P->lam_1;
  }
  m1 = proj_mdist(P->phi_1, P->sphi_1, cos(P->phi_1), P->en);
  m2 = proj_mdist(P->phi_2, P->sphi_2, cos(P->phi_2), P->en);
  t = m2 - m1;
  s = x2 - x1;
  y2 = sqrt(t * t - s * s) + y1val;
  P->C2 = y2 - T2;
  t = 1. / t;
  P->P = (m2 * y1val - m1 * y2) * t;
  P->Q = (y2 - y1val) * t;
  P->Pp = (m2 * x1 - m1 * x2) * t;
  P->Qp = (x2 - x1) * t;
  P->fwd = e_forward;
  P->inv = e_inverse;
ENDENTRY(P)
/*
** Log: proj_imw_p.c
** Revision 1.1  2008-11-07 16:41:14  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 3.2  2008/06/26 15:13:41  gie
** unitialized (no problem) variable
**
** Revision 3.1  2006/01/11 01:38:18  gie
** Initial
**
*/