/*******************************************************************************
NAME                            POLYCONIC 

PURPOSE:	Transforms input Easting and Northing to longitude and
		latitude for the Polyconic projection.  The
		Easting and Northing must be in meters.  The longitude
		and latitude values will be returned in radians.

PROGRAMMER      DATE		REASON
----------      ----		------
T. Mittan	Mar, 1993
S. Nelson	Jan, 1998	If an error occurs in the phi4z call from
				polyinv, the error flag number from phi4z
				will be returned instead of 74 as before.

ALGORITHM REFERENCES

1.  Snyder, John P., "Map Projections--A Working Manual", U.S. Geological
    Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United
    State Government Printing Office, Washington D.C., 1987.

2.  Snyder, John P. and Voxland, Philip M., "An Album of Map Projections",
    U.S. Geological Survey Professional Paper 1453 , United State Government
    Printing Office, Washington D.C., 1989.
*******************************************************************************/
#include "cproj.h"

/* Variables common to all subroutines in this code file
  -----------------------------------------------------*/
static double r_major;		/* major axis 				*/
static double r_minor;		/* minor axis 				*/
static double lon_center;	/* Center longitude (projection center) */
static double lat_origin;	/* center latitude			*/
static double e0,e1,e2,e3;	/* eccentricity constants		*/
static double e,es,esp;		/* eccentricity constants		*/
static double ml0;		/* small value m			*/
static double false_northing;	/* y offset in meters			*/
static double false_easting;	/* x offset in meters			*/

/* Initialize the POLYCONIC projection
  ----------------------------------*/
long polyinvint(r_maj,r_min,center_lon,center_lat,false_east,false_north) 

double r_maj;			/* major axis			*/
double r_min;			/* minor axis			*/
double center_lon;		/* center longitude		*/
double center_lat;		/* center latitude		*/
double false_east;		/* x offset in meters		*/
double false_north;		/* y offset in meters		*/
{
double temp;			/* temporary variable		*/

/* Place parameters in static storage for common use
  -------------------------------------------------*/
r_major = r_maj;
r_minor = r_min;
lon_center = center_lon;
lat_origin = center_lat;
false_northing = false_north;
false_easting = false_east;

temp = r_minor / r_major;
es = 1.0 - SQUARE(temp);
e = sqrt(es);
e0 = e0fn(es);
e1 = e1fn(es);
e2 = e2fn(es);
e3 = e3fn(es);
ml0 = mlfn(e0, e1, e2, e3, lat_origin);

/* Report parameters to the user
  -----------------------------*/
ptitle("POLYCONIC"); 
radius2(r_major, r_minor);
cenlonmer(lon_center);
origin(lat_origin);
offsetp(false_easting,false_northing);
return(OK);
}


/* Polyconic inverse equations--mapping x,y to lat/long
  ---------------------------------------------------*/
long polyinv(x, y, lon, lat)
double x;			/* (O) X projection coordinate 	*/
double y;			/* (O) Y projection coordinate 	*/
double *lon;			/* (I) Longitude 		*/
double *lat;			/* (I) Latitude 		*/
{
double sin_phi, cos_phi;/* sin and cos value				*/
double al;		/* temporary values				*/
double b;		/* temporary values				*/
double c;		/* temporary values				*/
double con, ml;		/* cone constant, small m			*/
long iflg;		/* error flag					*/

/* Inverse equations
  -----------------*/
x -= false_easting;
y -= false_northing;
al = ml0 + y/r_major;
iflg = 0;
if (fabs(al) <= .0000001)
   {
   *lon = x/r_major + lon_center;
   *lat = 0.0;
   }
else
   {
   b = al * al + (x/r_major) * (x/r_major);
   iflg = phi4z(es,e0,e1,e2,e3,al,b,&c,lat);
   if (iflg != OK)
      return(iflg);
   *lon = adjust_lon((asinz(x * c / r_major) / sin(*lat)) + lon_center);
   }

return(OK);
}