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#define PJ_LIB__
#include <math.h>
#include "proj.h"
#include "proj_internal.h"
PROJ_HEAD(boggs, "Boggs Eumorphic") "\n\tPCyl, no inv, Sph";
# define NITER 20
# define EPS 1e-7
# define FXC 2.00276
# define FXC2 1.11072
# define FYC 0.49931
static PJ_XY boggs_s_forward (PJ_LP lp, PJ *P) { /* Spheroidal, forward */
PJ_XY xy = {0.0,0.0};
double theta, th1, c;
int i;
(void) P;
theta = lp.phi;
if (fabs(fabs(lp.phi) - M_HALFPI) < EPS)
xy.x = 0.;
else {
c = sin(theta) * M_PI;
for (i = NITER; i; --i) {
th1 = (theta + sin(theta) - c) / (1. + cos(theta));
theta -= th1;
if (fabs(th1) < EPS) break;
}
theta *= 0.5;
xy.x = FXC * lp.lam / (1. / cos(lp.phi) + FXC2 / cos(theta));
}
xy.y = FYC * (lp.phi + M_SQRT2 * sin(theta));
return (xy);
}
PJ *PROJECTION(boggs) {
P->es = 0.;
P->fwd = boggs_s_forward;
return P;
}
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