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#define PJ_LIB__
#include <projects.h>
struct pj_opaque {
double phi1;
double phi2;
double n;
double rho;
double rho0;
double c;
double *en;
int ellips;
};
PROJ_HEAD(eqdc, "Equidistant Conic")
"\n\tConic, Sph&Ell\n\tlat_1= lat_2=";
# define EPS10 1.e-10
static XY e_forward (LP lp, PJ *P) { /* Ellipsoidal, forward */
XY xy = {0.0,0.0};
struct pj_opaque *Q = P->opaque;
Q->rho = Q->c - (Q->ellips ? pj_mlfn(lp.phi, sin(lp.phi),
cos(lp.phi), Q->en) : lp.phi);
xy.x = Q->rho * sin( lp.lam *= Q->n );
xy.y = Q->rho0 - Q->rho * cos(lp.lam);
return xy;
}
static LP e_inverse (XY xy, PJ *P) { /* Ellipsoidal, inverse */
LP lp = {0.0,0.0};
struct pj_opaque *Q = P->opaque;
if ((Q->rho = hypot(xy.x, xy.y = Q->rho0 - xy.y)) != 0.0 ) {
if (Q->n < 0.) {
Q->rho = -Q->rho;
xy.x = -xy.x;
xy.y = -xy.y;
}
lp.phi = Q->c - Q->rho;
if (Q->ellips)
lp.phi = pj_inv_mlfn(P->ctx, lp.phi, P->es, Q->en);
lp.lam = atan2(xy.x, xy.y) / Q->n;
} else {
lp.lam = 0.;
lp.phi = Q->n > 0. ? M_HALFPI : -M_HALFPI;
}
return lp;
}
static void special(LP lp, PJ *P, struct FACTORS *fac) {
struct pj_opaque *Q = P->opaque;
double sinphi, cosphi;
sinphi = sin(lp.phi);
cosphi = cos(lp.phi);
fac->code |= IS_ANAL_HK;
fac->h = 1.;
fac->k = Q->n * (Q->c - (Q->ellips ? pj_mlfn(lp.phi, sinphi,
cosphi, Q->en) : lp.phi)) / pj_msfn(sinphi, cosphi, P->es);
}
static void *freeup_new (PJ *P) { /* Destructor */
if (0==P)
return 0;
if (0==P->opaque)
return pj_dealloc (P);
if (P->opaque->en)
pj_dealloc (P->opaque->en);
pj_dealloc (P->opaque);
return pj_dealloc(P);
}
static void freeup (PJ *P) {
freeup_new (P);
return;
}
PJ *PROJECTION(eqdc) {
double cosphi, sinphi;
int secant;
struct pj_opaque *Q = pj_calloc (1, sizeof (struct pj_opaque));
if (0==Q)
return freeup_new (P);
P->opaque = Q;
Q->phi1 = pj_param(P->ctx, P->params, "rlat_1").f;
Q->phi2 = pj_param(P->ctx, P->params, "rlat_2").f;
if (fabs(Q->phi1 + Q->phi2) < EPS10) E_ERROR(-21);
if (!(Q->en = pj_enfn(P->es)))
E_ERROR_0;
Q->n = sinphi = sin(Q->phi1);
cosphi = cos(Q->phi1);
secant = fabs(Q->phi1 - Q->phi2) >= EPS10;
if( (Q->ellips = (P->es > 0.)) ) {
double ml1, m1;
m1 = pj_msfn(sinphi, cosphi, P->es);
ml1 = pj_mlfn(Q->phi1, sinphi, cosphi, Q->en);
if (secant) { /* secant cone */
sinphi = sin(Q->phi2);
cosphi = cos(Q->phi2);
Q->n = (m1 - pj_msfn(sinphi, cosphi, P->es)) /
(pj_mlfn(Q->phi2, sinphi, cosphi, Q->en) - ml1);
}
Q->c = ml1 + m1 / Q->n;
Q->rho0 = Q->c - pj_mlfn(P->phi0, sin(P->phi0),
cos(P->phi0), Q->en);
} else {
if (secant)
Q->n = (cosphi - cos(Q->phi2)) / (Q->phi2 - Q->phi1);
Q->c = Q->phi1 + cos(Q->phi1) / Q->n;
Q->rho0 = Q->c - P->phi0;
}
P->inv = e_inverse;
P->fwd = e_forward;
P->spc = special;
return P;
}
#ifndef PJ_SELFTEST
int pj_eqdc_selftest (void) {return 0;}
#else
int pj_eqdc_selftest (void) {
double tolerance_lp = 1e-10;
double tolerance_xy = 1e-7;
char e_args[] = {"+proj=eqdc +ellps=GRS80 +lat_1=0.5 +lat_2=2"};
char s_args[] = {"+proj=eqdc +R=6400000 +lat_1=0.5 +lat_2=2"};
LP fwd_in[] = {
{ 2, 1},
{ 2,-1},
{-2, 1},
{-2,-1}
};
XY e_fwd_expect[] = {
{ 222588.440269285755, 110659.134907347048},
{ 222756.836702042434, -110489.578087220681},
{-222588.440269285755, 110659.134907347048},
{-222756.836702042434, -110489.578087220681},
};
XY s_fwd_expect[] = {
{ 223351.088175113517, 111786.108747173785},
{ 223521.200266735133, -111615.970741240744},
{-223351.088175113517, 111786.108747173785},
{-223521.200266735133, -111615.970741240744},
};
XY inv_in[] = {
{ 200, 100},
{ 200,-100},
{-200, 100},
{-200,-100}
};
LP e_inv_expect[] = {
{ 0.00179635944879094839, 0.000904368858588402644},
{ 0.00179635822020772734, -0.000904370095529954975},
{-0.00179635944879094839, 0.000904368858588402644},
{-0.00179635822020772734, -0.000904370095529954975},
};
LP s_inv_expect[] = {
{ 0.0017902210900486641, 0.000895245944814909169},
{ 0.00179021986984890255, -0.000895247165333684842},
{-0.0017902210900486641, 0.000895245944814909169},
{-0.00179021986984890255, -0.000895247165333684842},
};
return pj_generic_selftest (e_args, s_args, tolerance_xy, tolerance_lp, 4, 4, fwd_in, e_fwd_expect, s_fwd_expect, inv_in, e_inv_expect, s_inv_expect);
}
#endif
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