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#define PJ_LIB__
#include <errno.h>
#include <math.h>
#include "proj.h"
#include "proj_internal.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
namespace { // anonymous namespace
struct pj_opaque {
double *en;
double m, n, C_x, C_y;
};
} // anonymous namespace
static PJ_XY gn_sinu_e_forward (PJ_LP lp, PJ *P) { /* Ellipsoidal, forward */
PJ_XY xy = {0.0,0.0};
const double s = sin(lp.phi);
const double c = cos(lp.phi);
xy.y = pj_mlfn(lp.phi, s, c, static_cast<struct pj_opaque*>(P->opaque)->en);
xy.x = lp.lam * c / sqrt(1. - P->es * s * s);
return xy;
}
static PJ_LP gn_sinu_e_inverse (PJ_XY xy, PJ *P) { /* Ellipsoidal, inverse */
PJ_LP lp = {0.0,0.0};
double s;
lp.phi = pj_inv_mlfn(P->ctx, xy.y, P->es, static_cast<struct pj_opaque*>(P->opaque)->en);
s = fabs(lp.phi);
if (s < 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, PROJ_ERR_COORD_TRANSFM_OUTSIDE_PROJECTION_DOMAIN);
}
return lp;
}
static PJ_XY gn_sinu_s_forward (PJ_LP lp, PJ *P) { /* Spheroidal, forward */
PJ_XY xy = {0.0,0.0};
struct pj_opaque *Q = static_cast<struct pj_opaque*>(P->opaque);
if (Q->m == 0.0)
lp.phi = Q->n != 1. ? aasin(P->ctx,Q->n * sin(lp.phi)): lp.phi;
else {
int i;
const double k = Q->n * sin(lp.phi);
for (i = MAX_ITER; i ; --i) {
const double V = (Q->m * lp.phi + sin(lp.phi) - k) /
(Q->m + cos(lp.phi));
lp.phi -= V;
if (fabs(V) < LOOP_TOL)
break;
}
if (!i) {
proj_errno_set(P, PROJ_ERR_COORD_TRANSFM_OUTSIDE_PROJECTION_DOMAIN);
return xy;
}
}
xy.x = Q->C_x * lp.lam * (Q->m + cos(lp.phi));
xy.y = Q->C_y * lp.phi;
return xy;
}
static PJ_LP gn_sinu_s_inverse (PJ_XY xy, PJ *P) { /* Spheroidal, inverse */
PJ_LP lp = {0.0,0.0};
struct pj_opaque *Q = static_cast<struct pj_opaque*>(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 PJ *destructor (PJ *P, int errlev) { /* Destructor */
if (nullptr==P)
return nullptr;
if (nullptr==P->opaque)
return pj_default_destructor (P, errlev);
free (static_cast<struct pj_opaque*>(P->opaque)->en);
return pj_default_destructor (P, errlev);
}
/* for spheres, only */
static void setup(PJ *P) {
struct pj_opaque *Q = static_cast<struct pj_opaque*>(P->opaque);
P->es = 0;
P->inv = gn_sinu_s_inverse;
P->fwd = gn_sinu_s_forward;
Q->C_y = sqrt((Q->m + 1.) / Q->n);
Q->C_x = Q->C_y/(Q->m + 1.);
}
PJ *PROJECTION(sinu) {
struct pj_opaque *Q = static_cast<struct pj_opaque*>(calloc (1, sizeof (struct pj_opaque)));
if (nullptr==Q)
return pj_default_destructor (P, PROJ_ERR_INVALID_OP /*ENOMEM*/);
P->opaque = Q;
P->destructor = destructor;
if (!(Q->en = pj_enfn(P->es)))
return pj_default_destructor (P, PROJ_ERR_INVALID_OP /*ENOMEM*/);
if (P->es != 0.0) {
P->inv = gn_sinu_e_inverse;
P->fwd = gn_sinu_e_forward;
} else {
Q->n = 1.;
Q->m = 0.;
setup(P);
}
return P;
}
PJ *PROJECTION(eck6) {
struct pj_opaque *Q = static_cast<struct pj_opaque*>(calloc (1, sizeof (struct pj_opaque)));
if (nullptr==Q)
return pj_default_destructor (P, PROJ_ERR_INVALID_OP /*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 = static_cast<struct pj_opaque*>(calloc (1, sizeof (struct pj_opaque)));
if (nullptr==Q)
return pj_default_destructor (P, PROJ_ERR_INVALID_OP /*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 = static_cast<struct pj_opaque*>(calloc (1, sizeof (struct pj_opaque)));
if (nullptr==Q)
return pj_default_destructor (P, PROJ_ERR_INVALID_OP /*ENOMEM*/);
P->opaque = Q;
P->destructor = destructor;
if (!pj_param(P->ctx, P->params, "tn").i )
{
proj_log_error(P, _("Missing parameter n."));
return pj_default_destructor(P, PROJ_ERR_INVALID_OP_MISSING_ARG);
}
if (!pj_param(P->ctx, P->params, "tm").i )
{
proj_log_error(P, _("Missing parameter m."));
return pj_default_destructor(P, PROJ_ERR_INVALID_OP_MISSING_ARG);
}
Q->n = pj_param(P->ctx, P->params, "dn").f;
Q->m = pj_param(P->ctx, P->params, "dm").f;
if (Q->n <= 0)
{
proj_log_error(P, _("Invalid value for n: it should be > 0."));
return pj_default_destructor(P, PROJ_ERR_INVALID_OP_ILLEGAL_ARG_VALUE);
}
if (Q->m < 0)
{
proj_log_error(P, _("Invalid value for m: it should be >= 0."));
return pj_default_destructor(P, PROJ_ERR_INVALID_OP_ILLEGAL_ARG_VALUE);
}
setup(P);
return P;
}
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