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#define PJ_LIB__
#include <errno.h>
#include "proj.h"
#include "proj_internal.h"
#include <math.h>
namespace { // anonymous namespace
enum Type {
EULER = 0,
MURD1 = 1,
MURD2 = 2,
MURD3 = 3,
PCONIC = 4,
TISSOT = 5,
VITK1 = 6
};
} // anonymous namespace
namespace { // anonymous namespace
struct pj_opaque {
double n;
double rho_c;
double rho_0;
double sig;
double c1, c2;
enum Type type;
};
} // anonymous namespace
#define EPS10 1.e-10
#define EPS 1e-10
#define LINE2 "\n\tConic, Sph\n\tlat_1= and lat_2="
PROJ_HEAD(euler, "Euler") LINE2;
PROJ_HEAD(murd1, "Murdoch I") LINE2;
PROJ_HEAD(murd2, "Murdoch II") LINE2;
PROJ_HEAD(murd3, "Murdoch III") LINE2;
PROJ_HEAD(pconic, "Perspective Conic") LINE2;
PROJ_HEAD(tissot, "Tissot") LINE2;
PROJ_HEAD(vitk1, "Vitkovsky I") LINE2;
/* get common factors for simple conics */
static int phi12(PJ *P, double *del) {
double p1, p2;
int err = 0;
if (!pj_param(P->ctx, P->params, "tlat_1").i )
{
proj_log_error(P, _("Missing parameter: lat_1 should be specified"));
err = PROJ_ERR_INVALID_OP_ILLEGAL_ARG_VALUE;
}
else if ( !pj_param(P->ctx, P->params, "tlat_2").i)
{
proj_log_error(P, _("Missing parameter: lat_2 should be specified"));
err = PROJ_ERR_INVALID_OP_ILLEGAL_ARG_VALUE;
}
else
{
p1 = pj_param(P->ctx, P->params, "rlat_1").f;
p2 = pj_param(P->ctx, P->params, "rlat_2").f;
*del = 0.5 * (p2 - p1);
const double sig = 0.5 * (p2 + p1);
static_cast<struct pj_opaque*>(P->opaque)->sig = sig;
err = (fabs(*del) < EPS || fabs(sig) < EPS) ? PROJ_ERR_INVALID_OP_ILLEGAL_ARG_VALUE : 0;
if( err )
{
proj_log_error(P, _("Illegal value for lat_1 and lat_2: |lat_1 - lat_2| and |lat_1 + lat_2| should be > 0"));
}
}
return err;
}
static PJ_XY sconics_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);
double rho;
switch (Q->type) {
case MURD2:
rho = Q->rho_c + tan (Q->sig - lp.phi);
break;
case PCONIC:
rho = Q->c2 * (Q->c1 - tan (lp.phi - Q->sig));
break;
default:
rho = Q->rho_c - lp.phi;
break;
}
xy.x = rho * sin ( lp.lam *= Q->n );
xy.y = Q->rho_0 - rho * cos (lp.lam);
return xy;
}
static PJ_LP sconics_s_inverse (PJ_XY xy, PJ *P) { /* Spheroidal, (and ellipsoidal?) inverse */
PJ_LP lp = {0.0, 0.0};
struct pj_opaque *Q = static_cast<struct pj_opaque*>(P->opaque);
double rho;
xy.y = Q->rho_0 - xy.y;
rho = hypot (xy.x, xy.y);
if (Q->n < 0.) {
rho = - rho;
xy.x = - xy.x;
xy.y = - xy.y;
}
lp.lam = atan2 (xy.x, xy.y) / Q->n;
switch (Q->type) {
case PCONIC:
lp.phi = atan (Q->c1 - rho / Q->c2) + Q->sig;
break;
case MURD2:
lp.phi = Q->sig - atan(rho - Q->rho_c);
break;
default:
lp.phi = Q->rho_c - rho;
}
return lp;
}
static PJ *setup(PJ *P, enum Type type) {
double del, cs;
int err;
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_OTHER /*ENOMEM*/);
P->opaque = Q;
Q->type = type;
err = phi12 (P, &del);
if(err)
return pj_default_destructor (P, err);
switch (Q->type) {
case TISSOT:
Q->n = sin (Q->sig);
cs = cos (del);
Q->rho_c = Q->n / cs + cs / Q->n;
Q->rho_0 = sqrt ((Q->rho_c - 2 * sin (P->phi0)) / Q->n);
break;
case MURD1:
Q->rho_c = sin(del)/(del * tan(Q->sig)) + Q->sig;
Q->rho_0 = Q->rho_c - P->phi0;
Q->n = sin(Q->sig);
break;
case MURD2:
Q->rho_c = (cs = sqrt (cos (del))) / tan (Q->sig);
Q->rho_0 = Q->rho_c + tan (Q->sig - P->phi0);
Q->n = sin (Q->sig) * cs;
break;
case MURD3:
Q->rho_c = del / (tan(Q->sig) * tan(del)) + Q->sig;
Q->rho_0 = Q->rho_c - P->phi0;
Q->n = sin (Q->sig) * sin (del) * tan (del) / (del * del);
break;
case EULER:
Q->n = sin (Q->sig) * sin (del) / del;
del *= 0.5;
Q->rho_c = del / (tan (del) * tan (Q->sig)) + Q->sig;
Q->rho_0 = Q->rho_c - P->phi0;
break;
case PCONIC:
Q->n = sin (Q->sig);
Q->c2 = cos (del);
Q->c1 = 1./tan (Q->sig);
del = P->phi0 - Q->sig;
if (fabs (del) - EPS10 >= M_HALFPI)
{
proj_log_error(P, _("Invalid value for lat_0/lat_1/lat_2: |lat_0 - 0.5 * (lat_1 + lat_2)| should be < 90°"));
return pj_default_destructor(P, PROJ_ERR_INVALID_OP_ILLEGAL_ARG_VALUE);
}
Q->rho_0 = Q->c2 * (Q->c1 - tan (del));
break;
case VITK1:
cs = tan (del);
Q->n = cs * sin (Q->sig) / del;
Q->rho_c = del / (cs * tan (Q->sig)) + Q->sig;
Q->rho_0 = Q->rho_c - P->phi0;
break;
}
P->inv = sconics_s_inverse;
P->fwd = sconics_s_forward;
P->es = 0;
return (P);
}
PJ *PROJECTION(euler) {
return setup(P, EULER);
}
PJ *PROJECTION(tissot) {
return setup(P, TISSOT);
}
PJ *PROJECTION(murd1) {
return setup(P, MURD1);
}
PJ *PROJECTION(murd2) {
return setup(P, MURD2);
}
PJ *PROJECTION(murd3) {
return setup(P, MURD3);
}
PJ *PROJECTION(pconic) {
return setup(P, PCONIC);
}
PJ *PROJECTION(vitk1) {
return setup(P, VITK1);
}
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