/*******************************************************************************
NAME                            POLAR STEREOGRAPHIC 

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

PROGRAMMER              DATE
----------              ----
T. Mittan		2-26-93

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 e;                      /* eccentricity                 */
  static double e4;                     /* e4 calculated from eccentricity*/
  static double center_lon;             /* center longitude             */
  static double center_lat;             /* center latitude              */
  static double fac;                    /* sign variable                */
  static double ind;                    /* flag variable                */
  static double mcs;			/* small value m		*/
  static double tcs;			/* small value t		*/
  static double false_northing;		/* y offset in meters		*/
  static double false_easting;		/* x offset in meters		*/

/* Initialize the Polar Stereographic projection
  --------------------------------------------*/
long psinvint(r_maj,r_min,c_lon,c_lat,false_east,false_north)

double r_maj;				/* major axis			*/
double r_min;				/* minor axis			*/
double c_lon;				/* center longitude		*/
double c_lat;				/* center latitude		*/
double false_east;			/* x offset in meters		*/
double false_north;			/* y offset in meters		*/

{
double temp;				/* temporary variable		*/
double con1;				/* temporary angle		*/
double sinphi;				/* sin value			*/
double cosphi;				/* cos value			*/
double es;                     /* eccentricity squared         */

r_major = r_maj;
r_minor = r_min;
false_easting = false_east;
false_northing = false_north;
temp = r_minor / r_major;
es = 1.0 - SQUARE(temp);
e = sqrt(es);
e4 = e4fn(e);
center_lon = c_lon;
center_lat = c_lat;

if (c_lat < 0)
   fac = -1.0;
else
   fac = 1.0;
ind = 0;
if (fabs(fabs(c_lat) - HALF_PI) > EPSLN)
   {
   ind = 1;
   con1 = fac * center_lat; 
   sincos(con1,&sinphi,&cosphi);
   mcs = msfnz(e,sinphi,cosphi);
   tcs = tsfnz(e,con1,sinphi);
   }
/* Report parameters to the user
  -----------------------------*/
ptitle("POLAR STEREOGRAPHIC");
radius2(r_major, r_minor);
cenlon(center_lon);
offsetp(false_east,false_north);

return(OK);
}

/* Polar Stereographic inverse equations--mapping x,y to lat/long
  --------------------------------------------------------------*/
long psinv(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 rh;			/* height above ellipsiod	*/
double ts;			/* small value t		*/
double temp;			/* temporary variable		*/
long   flag;			/* error flag			*/

flag = 0;
x = (x - false_easting) * fac;
y = (y - false_northing) *fac;
rh = sqrt(x * x + y * y);
if (ind != 0)
  ts = rh * tcs/(r_major * mcs);
else
  ts = rh * e4 / (r_major * 2.0);
*lat = fac * phi2z(e,ts,&flag);
if (flag != 0)
   return(flag);
if (rh == 0)
   *lon = fac * center_lon;
else
   {
   temp = atan2(x, -y);
   *lon = adjust_lon(fac *temp + center_lon);
   }

return(OK);
}