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#define PJ_LIB__
#include <errno.h>
#include <proj.h>
#include "projects.h"
PROJ_HEAD(gn_sinu, "General Sinusoidal Series") "\n\tPCyl, Sph.\n\tm= n=";
PROJ_HEAD(sinu, "Sinusoidal (Sanson-Flamsteed)") "\n\tPCyl, Sph&Ell";
PROJ_HEAD(eck6, "Eckert VI") "\n\tPCyl, Sph.";
PROJ_HEAD(mbtfps, "McBryde-Thomas Flat-Polar Sinusoidal") "\n\tPCyl, Sph.";
#define EPS10 1e-10
#define MAX_ITER 8
#define LOOP_TOL 1e-7
struct pj_opaque {
double *en;
double m, n, C_x, C_y;
};
static XY e_forward (LP lp, PJ *P) { /* Ellipsoidal, forward */
XY xy = {0.0,0.0};
double s, c;
xy.y = pj_mlfn(lp.phi, s = sin(lp.phi), c = cos(lp.phi), P->opaque->en);
xy.x = lp.lam * c / sqrt(1. - P->es * s * s);
return xy;
}
static LP e_inverse (XY xy, PJ *P) { /* Ellipsoidal, inverse */
LP lp = {0.0,0.0};
double s;
if ((s = fabs(lp.phi = pj_inv_mlfn(P->ctx, xy.y, P->es, P->opaque->en))) < M_HALFPI) {
s = sin(lp.phi);
lp.lam = xy.x * sqrt(1. - P->es * s * s) / cos(lp.phi);
} else if ((s - EPS10) < M_HALFPI) {
lp.lam = 0.;
} else {
proj_errno_set(P, PJD_ERR_TOLERANCE_CONDITION);
}
return lp;
}
static XY s_forward (LP lp, PJ *P) { /* Spheroidal, forward */
XY xy = {0.0,0.0};
struct pj_opaque *Q = P->opaque;
if (Q->m == 0.0)
lp.phi = Q->n != 1. ? aasin(P->ctx,Q->n * sin(lp.phi)): lp.phi;
else {
double k, V;
int i;
k = Q->n * sin(lp.phi);
for (i = MAX_ITER; i ; --i) {
lp.phi -= V = (Q->m * lp.phi + sin(lp.phi) - k) /
(Q->m + cos(lp.phi));
if (fabs(V) < LOOP_TOL)
break;
}
if (!i) {
proj_errno_set(P, PJD_ERR_TOLERANCE_CONDITION);
return xy;
}
}
xy.x = Q->C_x * lp.lam * (Q->m + cos(lp.phi));
xy.y = Q->C_y * lp.phi;
return xy;
}
static LP s_inverse (XY xy, PJ *P) { /* Spheroidal, inverse */
LP lp = {0.0,0.0};
struct pj_opaque *Q = P->opaque;
xy.y /= Q->C_y;
lp.phi = (Q->m != 0.0) ? aasin(P->ctx,(Q->m * xy.y + sin(xy.y)) / Q->n) :
( Q->n != 1. ? aasin(P->ctx,sin(xy.y) / Q->n) : xy.y );
lp.lam = xy.x / (Q->C_x * (Q->m + cos(xy.y)));
return lp;
}
static void *destructor (PJ *P, int errlev) { /* Destructor */
if (0==P)
return 0;
if (0==P->opaque)
return pj_default_destructor (P, errlev);
pj_dealloc (P->opaque->en);
return pj_default_destructor (P, errlev);
}
/* for spheres, only */
static void setup(PJ *P) {
struct pj_opaque *Q = P->opaque;
P->es = 0;
P->inv = s_inverse;
P->fwd = s_forward;
Q->C_x = (Q->C_y = sqrt((Q->m + 1.) / Q->n))/(Q->m + 1.);
}
PJ *PROJECTION(sinu) {
struct pj_opaque *Q = pj_calloc (1, sizeof (struct pj_opaque));
if (0==Q)
return pj_default_destructor (P, ENOMEM);
P->opaque = Q;
P->destructor = destructor;
if (!(Q->en = pj_enfn(P->es)))
return pj_default_destructor (P, ENOMEM);
if (P->es != 0.0) {
P->inv = e_inverse;
P->fwd = e_forward;
} else {
Q->n = 1.;
Q->m = 0.;
setup(P);
}
return P;
}
PJ *PROJECTION(eck6) {
struct pj_opaque *Q = pj_calloc (1, sizeof (struct pj_opaque));
if (0==Q)
return pj_default_destructor (P, ENOMEM);
P->opaque = Q;
P->destructor = destructor;
Q->m = 1.;
Q->n = 2.570796326794896619231321691;
setup(P);
return P;
}
PJ *PROJECTION(mbtfps) {
struct pj_opaque *Q = pj_calloc (1, sizeof (struct pj_opaque));
if (0==Q)
return pj_default_destructor (P, ENOMEM);
P->opaque = Q;
P->destructor = destructor;
Q->m = 0.5;
Q->n = 1.785398163397448309615660845;
setup(P);
return P;
}
PJ *PROJECTION(gn_sinu) {
struct pj_opaque *Q = pj_calloc (1, sizeof (struct pj_opaque));
if (0==Q)
return pj_default_destructor (P, ENOMEM);
P->opaque = Q;
P->destructor = destructor;
if (pj_param(P->ctx, P->params, "tn").i && pj_param(P->ctx, P->params, "tm").i) {
Q->n = pj_param(P->ctx, P->params, "dn").f;
Q->m = pj_param(P->ctx, P->params, "dm").f;
if (Q->n <= 0 || Q->m < 0)
return destructor (P, PJD_ERR_INVALID_M_OR_N);
} else
return destructor (P, PJD_ERR_INVALID_M_OR_N);
setup(P);
return P;
}
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