PJ *PROJECTION(labrd) {
double Az, sinp, R, N, t;
struct pj_opaque *Q = pj_calloc (1, sizeof (struct pj_opaque));
if (0==Q)
return freeup_new (P);
P->opaque = Q;
Q->rot = pj_param(P->ctx, P->params, "bno_rot").i == 0;
Az = pj_param(P->ctx, P->params, "razi").f;
sinp = sin(P->phi0);
t = 1. - P->es * sinp * sinp;
N = 1. / sqrt(t);
R = P->one_es * N / t;
Q->kRg = P->k0 * sqrt( N * R );
Q->p0s = atan( sqrt(R / N) * tan(P->phi0) );
Q->A = sinp / sin(Q->p0s);
t = P->e * sinp;
Q->C = .5 * P->e * Q->A * log((1. + t)/(1. - t)) +
- Q->A * log( tan(M_FORTPI + .5 * P->phi0))
+ log( tan(M_FORTPI + .5 * Q->p0s));
t = Az + Az;
Q->Ca = (1. - cos(t)) * ( Q->Cb = 1. / (12. * Q->kRg * Q->kRg) );
Q->Cb *= sin(t);
Q->Cc = 3. * (Q->Ca * Q->Ca - Q->Cb * Q->Cb);
Q->Cd = 6. * Q->Ca * Q->Cb;
P->inv = e_inverse;
P->fwd = e_forward;
return P;
}
PJ *PROJECTION(qsc) {
struct pj_opaque *Q = static_cast<struct pj_opaque*>(pj_calloc (1, sizeof (struct pj_opaque)));
if (nullptr==Q)
return pj_default_destructor (P, ENOMEM);
P->opaque = Q;
P->inv = qsc_e_inverse;
P->fwd = qsc_e_forward;
/* Determine the cube face from the center of projection. */
if (P->phi0 >= M_HALFPI - M_FORTPI / 2.0) {
Q->face = FACE_TOP;
} else if (P->phi0 <= -(M_HALFPI - M_FORTPI / 2.0)) {
Q->face = FACE_BOTTOM;
} else if (fabs(P->lam0) <= M_FORTPI) {
Q->face = FACE_FRONT;
} else if (fabs(P->lam0) <= M_HALFPI + M_FORTPI) {
Q->face = (P->lam0 > 0.0 ? FACE_RIGHT : FACE_LEFT);
} else {
Q->face = FACE_BACK;
}
/* Fill in useful values for the ellipsoid <-> sphere shift
* described in [LK12]. */
if (P->es != 0.0) {
Q->a_squared = P->a * P->a;
Q->b = P->a * sqrt(1.0 - P->es);
Q->one_minus_f = 1.0 - (P->a - Q->b) / P->a;
Q->one_minus_f_squared = Q->one_minus_f * Q->one_minus_f;
}
return P;
}
PJ *PROJECTION(rhealpix) {
struct pj_opaque *Q = pj_calloc (1, sizeof (struct pj_opaque));
if (0==Q)
return freeup_new (P);
P->opaque = Q;
Q->north_square = pj_param(P->ctx, P->params,"inorth_square").i;
Q->south_square = pj_param(P->ctx, P->params,"isouth_square").i;
/* Check for valid north_square and south_square inputs. */
if (Q->north_square < 0 || Q->north_square > 3) {
E_ERROR(-47);
}
if (Q->south_square < 0 || Q->south_square > 3) {
E_ERROR(-47);
}
if (P->es) {
Q->apa = pj_authset(P->es); /* For auth_lat(). */
Q->qp = pj_qsfn(1.0, P->e, P->one_es); /* For auth_lat(). */
P->a = P->a*sqrt(0.5*Q->qp); /* Set P->a to authalic radius. */
P->ra = 1.0/P->a;
P->fwd = e_rhealpix_forward;
P->inv = e_rhealpix_inverse;
} else {
P->fwd = s_rhealpix_forward;
P->inv = s_rhealpix_inverse;
}
return P;
}
PJ *PROJECTION(utm) {
int zone;
struct pj_opaque *Q = pj_calloc (1, sizeof (struct pj_opaque));
if (0==Q)
return freeup_new (P);
P->opaque = Q;
if (!P->es)
E_ERROR(-34);
P->y0 = pj_param (P->ctx, P->params, "bsouth").i ? 10000000. : 0.;
P->x0 = 500000.;
if (pj_param (P->ctx, P->params, "tzone").i) /* zone input ? */
if ((zone = pj_param(P->ctx, P->params, "izone").i) > 0 && zone <= 60)
--zone;
else
E_ERROR(-35)
else /* nearest central meridian input */
if ((zone = (int)(floor ((adjlon (P->lam0) + M_PI) * 30. / M_PI))) < 0)
zone = 0;
else if (zone >= 60)
zone = 59;
P->lam0 = (zone + .5) * M_PI / 30. - M_PI;
P->k0 = 0.9996;
P->phi0 = 0.;
return setup (P);
}
PJ *PROJECTION(labrd) {
double Az, sinp, R, N, t;
struct pj_opaque *Q = static_cast<struct pj_opaque*>(pj_calloc (1, sizeof (struct pj_opaque)));
if (nullptr==Q)
return pj_default_destructor (P, ENOMEM);
P->opaque = Q;
if (P->phi0 == 0.) {
return pj_default_destructor(P, PJD_ERR_LAT_0_IS_ZERO);
}
Az = pj_param(P->ctx, P->params, "razi").f;
sinp = sin(P->phi0);
t = 1. - P->es * sinp * sinp;
N = 1. / sqrt(t);
R = P->one_es * N / t;
Q->kRg = P->k0 * sqrt( N * R );
Q->p0s = atan( sqrt(R / N) * tan(P->phi0) );
Q->A = sinp / sin(Q->p0s);
t = P->e * sinp;
Q->C = .5 * P->e * Q->A * log((1. + t)/(1. - t)) +
- Q->A * log( tan(M_FORTPI + .5 * P->phi0))
+ log( tan(M_FORTPI + .5 * Q->p0s));
t = Az + Az;
Q->Ca = (1. - cos(t)) * ( Q->Cb = 1. / (12. * Q->kRg * Q->kRg) );
Q->Cb *= sin(t);
Q->Cc = 3. * (Q->Ca * Q->Ca - Q->Cb * Q->Cb);
Q->Cd = 6. * Q->Ca * Q->Cb;
P->inv = e_inverse;
P->fwd = e_forward;
return P;
}
PJ *PROJECTION(bonne) {
double c;
struct pj_opaque *Q = static_cast<struct pj_opaque*>(pj_calloc (1, sizeof (struct pj_opaque)));
if (nullptr==Q)
return pj_default_destructor (P, ENOMEM);
P->opaque = Q;
P->destructor = destructor;
Q->phi1 = pj_param(P->ctx, P->params, "rlat_1").f;
if (fabs(Q->phi1) < EPS10)
return destructor (P, PJD_ERR_LAT1_IS_ZERO);
if (P->es != 0.0) {
Q->en = pj_enfn(P->es);
if (nullptr==Q->en)
return destructor(P, ENOMEM);
Q->m1 = pj_mlfn(Q->phi1, Q->am1 = sin(Q->phi1),
c = cos(Q->phi1), Q->en);
Q->am1 = c / (sqrt(1. - P->es * Q->am1 * Q->am1) * Q->am1);
P->inv = e_inverse;
P->fwd = e_forward;
} else {
if (fabs(Q->phi1) + EPS10 >= M_HALFPI)
Q->cphi1 = 0.;
else
Q->cphi1 = 1. / tan(Q->phi1);
P->inv = s_inverse;
P->fwd = s_forward;
}
return P;
}
PJ *PROJECTION(qsc) {
struct pj_opaque *Q = pj_calloc (1, sizeof (struct pj_opaque));
if (0==Q)
return freeup_new (P);
P->opaque = Q;
P->inv = e_inverse;
P->fwd = e_forward;
/* Determine the cube face from the center of projection. */
if (P->phi0 >= HALFPI - FORTPI / 2.0) {
Q->face = FACE_TOP;
} else if (P->phi0 <= -(HALFPI - FORTPI / 2.0)) {
Q->face = FACE_BOTTOM;
} else if (fabs(P->lam0) <= FORTPI) {
Q->face = FACE_FRONT;
} else if (fabs(P->lam0) <= HALFPI + FORTPI) {
Q->face = (P->lam0 > 0.0 ? FACE_RIGHT : FACE_LEFT);
} else {
Q->face = FACE_BACK;
}
/* Fill in useful values for the ellipsoid <-> sphere shift
* described in [LK12]. */
if (P->es) {
Q->a_squared = P->a * P->a;
Q->b = P->a * sqrt(1.0 - P->es);
Q->one_minus_f = 1.0 - (P->a - Q->b) / P->a;
Q->one_minus_f_squared = Q->one_minus_f * Q->one_minus_f;
}
return P;
}
PJ *PROJECTION(bonne) {
double c;
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;
if (fabs(Q->phi1) < EPS10) E_ERROR(-23);
if (P->es) {
Q->en = pj_enfn(P->es);
Q->m1 = pj_mlfn(Q->phi1, Q->am1 = sin(Q->phi1),
c = cos(Q->phi1), Q->en);
Q->am1 = c / (sqrt(1. - P->es * Q->am1 * Q->am1) * Q->am1);
P->inv = e_inverse;
P->fwd = e_forward;
} else {
if (fabs(Q->phi1) + EPS10 >= M_HALFPI)
Q->cphi1 = 0.;
else
Q->cphi1 = 1. / tan(Q->phi1);
P->inv = s_inverse;
P->fwd = s_forward;
}
return P;
}
PJ *PROJECTION(etmerc) {
struct pj_opaque *Q = pj_calloc (1, sizeof (struct pj_opaque));
if (0==Q)
return freeup_new (P);
P->opaque = Q;
return setup (P);
}
PJ *PROJECTION(lcca) {
double s2p0, N0, R0, tan0;
struct pj_opaque *Q = static_cast<struct pj_opaque*>(pj_calloc (1, sizeof (struct pj_opaque)));
if (nullptr==Q)
return pj_default_destructor (P, ENOMEM);
P->opaque = Q;
(Q->en = pj_enfn(P->es));
if (!Q->en)
return pj_default_destructor (P, ENOMEM);
if (P->phi0 == 0.) {
return destructor(P, PJD_ERR_LAT_0_IS_ZERO);
}
Q->l = sin(P->phi0);
Q->M0 = pj_mlfn(P->phi0, Q->l, cos(P->phi0), Q->en);
s2p0 = Q->l * Q->l;
R0 = 1. / (1. - P->es * s2p0);
N0 = sqrt(R0);
R0 *= P->one_es * N0;
tan0 = tan(P->phi0);
Q->r0 = N0 / tan0;
Q->C = 1. / (6. * R0 * N0);
P->inv = lcca_e_inverse;
P->fwd = lcca_e_forward;
P->destructor = destructor;
return P;
}
/* turn paralist into argc/argv style argument list */
static ARGS ob_tran_target_params (paralist *params) {
int i = 0;
ARGS args = {0, nullptr};
size_t argc = paralist_params_argc (params);
if (argc < 2)
return args;
/* all args except the proj_ob_tran */
args.argv = static_cast<char**>(pj_calloc (argc - 1, sizeof (char *)));
if (nullptr==args.argv)
return args;
/* Copy all args *except* the proj=ob_tran arg to the argv array */
for (i = 0; params != nullptr; params = params->next) {
if (0==strcmp (params->param, "proj=ob_tran"))
continue;
args.argv[i++] = params->param;
}
args.argc = i;
/* Then convert the o_proj=xxx element to proj=xxx */
for (i = 0; i < args.argc; i++) {
if (0!=strncmp (args.argv[i], "o_proj=", 7))
continue;
args.argv[i] += 2;
break;
}
return args;
}
PJ *PROJECTION(mbt_s) {
struct pj_opaque *Q = pj_calloc (1, sizeof (struct pj_opaque));
if (0==Q)
return freeup_new (P);
P->opaque = Q;
return setup(P, 1.48875, 1.36509, 0);
}
PJ *PROJECTION(qua_aut) {
struct pj_opaque *Q = pj_calloc (1, sizeof (struct pj_opaque));
if (0==Q)
return freeup_new (P);
P->opaque = Q;
return setup(P, 2., 2., 0);
}
PJ *PROJECTION(imw_p) {
double del, sig, s, t, x1, x2, T2, y1, m1, m2, y2;
int err;
struct pj_opaque *Q = static_cast<struct pj_opaque*>(pj_calloc (1, sizeof (struct pj_opaque)));
if (nullptr==Q)
return pj_default_destructor (P, ENOMEM);
P->opaque = Q;
if (!(Q->en = pj_enfn(P->es))) return pj_default_destructor (P, ENOMEM);
if( (err = phi12(P, &del, &sig)) != 0) {
return destructor(P, err);
}
if (Q->phi_2 < Q->phi_1) { /* make sure P->phi_1 most southerly */
del = Q->phi_1;
Q->phi_1 = Q->phi_2;
Q->phi_2 = del;
}
if (pj_param(P->ctx, P->params, "tlon_1").i)
Q->lam_1 = pj_param(P->ctx, P->params, "rlon_1").f;
else { /* use predefined based upon latitude */
sig = fabs(sig * RAD_TO_DEG);
if (sig <= 60) sig = 2.;
else if (sig <= 76) sig = 4.;
else sig = 8.;
Q->lam_1 = sig * DEG_TO_RAD;
}
Q->mode = NONE_IS_ZERO;
if (Q->phi_1 != 0.0)
xy(P, Q->phi_1, &x1, &y1, &Q->sphi_1, &Q->R_1);
else {
Q->mode = PHI_1_IS_ZERO;
y1 = 0.;
x1 = Q->lam_1;
}
if (Q->phi_2 != 0.0)
xy(P, Q->phi_2, &x2, &T2, &Q->sphi_2, &Q->R_2);
else {
Q->mode = PHI_2_IS_ZERO;
T2 = 0.;
x2 = Q->lam_1;
}
m1 = pj_mlfn(Q->phi_1, Q->sphi_1, cos(Q->phi_1), Q->en);
m2 = pj_mlfn(Q->phi_2, Q->sphi_2, cos(Q->phi_2), Q->en);
t = m2 - m1;
s = x2 - x1;
y2 = sqrt(t * t - s * s) + y1;
Q->C2 = y2 - T2;
t = 1. / t;
Q->P = (m2 * y1 - m1 * y2) * t;
Q->Q = (y2 - y1) * t;
Q->Pp = (m2 * x1 - m1 * x2) * t;
Q->Qp = (x2 - x1) * t;
P->fwd = e_forward;
P->inv = e_inverse;
P->destructor = destructor;
return P;
}
PJ *PROJECTION(wag4) {
struct pj_opaque *Q = static_cast<struct pj_opaque*>(pj_calloc (1, sizeof (struct pj_opaque)));
if (nullptr==Q)
return pj_default_destructor (P, ENOMEM);
P->opaque = Q;
return setup(P, M_PI/3.);
}
PJ *PROJECTION(kav5) {
struct pj_opaque *Q = pj_calloc (1, sizeof (struct pj_opaque));
if (0==Q)
return freeup_new (P);
P->opaque = Q;
return setup(P, 1.50488, 1.35439, 0);
}
PJ *PROJECTION(laea) {
double t;
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;
t = fabs(P->phi0);
if (fabs(t - M_HALFPI) < EPS10)
Q->mode = P->phi0 < 0. ? S_POLE : N_POLE;
else if (fabs(t) < EPS10)
Q->mode = EQUIT;
else
Q->mode = OBLIQ;
if (P->es != 0.0) {
double sinphi;
P->e = sqrt(P->es);
Q->qp = pj_qsfn(1., P->e, P->one_es);
Q->mmf = .5 / (1. - P->es);
Q->apa = pj_authset(P->es);
if (0==Q->apa)
return destructor(P, ENOMEM);
switch (Q->mode) {
case N_POLE:
case S_POLE:
Q->dd = 1.;
break;
case EQUIT:
Q->dd = 1. / (Q->rq = sqrt(.5 * Q->qp));
Q->xmf = 1.;
Q->ymf = .5 * Q->qp;
break;
case OBLIQ:
Q->rq = sqrt(.5 * Q->qp);
sinphi = sin(P->phi0);
Q->sinb1 = pj_qsfn(sinphi, P->e, P->one_es) / Q->qp;
Q->cosb1 = sqrt(1. - Q->sinb1 * Q->sinb1);
Q->dd = cos(P->phi0) / (sqrt(1. - P->es * sinphi * sinphi) *
Q->rq * Q->cosb1);
Q->ymf = (Q->xmf = Q->rq) / Q->dd;
Q->xmf *= Q->dd;
break;
}
P->inv = e_inverse;
P->fwd = e_forward;
} else {
if (Q->mode == OBLIQ) {
Q->sinb1 = sin(P->phi0);
Q->cosb1 = cos(P->phi0);
}
P->inv = s_inverse;
P->fwd = s_forward;
}
return P;
}
PJ *PROJECTION(aitoff) {
struct pj_opaque *Q = pj_calloc (1, sizeof (struct pj_opaque));
if (0==Q)
return pj_default_destructor(P, ENOMEM);
P->opaque = Q;
Q->mode = AITOFF;
return setup(P);
}
PJ *PROJECTION(wag1) {
struct pj_opaque *Q = static_cast<struct pj_opaque*>(pj_calloc (1, sizeof (struct pj_opaque)));
if (nullptr==Q)
return pj_default_destructor(P, ENOMEM);
P->opaque = Q;
static_cast<struct pj_opaque*>(P->opaque)->n = 0.8660254037844386467637231707;
return setup(P);
}
PJ *PROJECTION(nsper) {
struct pj_opaque *Q = pj_calloc (1, sizeof (struct pj_opaque));
if (0==Q)
return freeup_new (P);
P->opaque = Q;
Q->tilt = 0;
return setup(P);
}
PJ *PROJECTION(stere) {
struct pj_opaque *Q = pj_calloc (1, sizeof (struct pj_opaque));
if (0==Q)
return freeup_new (P);
P->opaque = Q;
Q->phits = pj_param (P->ctx, P->params, "tlat_ts").i ?
pj_param (P->ctx, P->params, "rlat_ts").f : HALFPI;
return setup(P);
}
PJ *PROJECTION(apian) {
struct pj_opaque *Q = static_cast<struct pj_opaque*>(pj_calloc (1, sizeof (struct pj_opaque)));
if (nullptr==Q)
return pj_default_destructor (P, ENOMEM);
P->opaque = Q;
Q->bacn = Q->ortl = 0;
P->es = 0.;
P->fwd = s_forward;
return P;
}
static PJ *pj_create_pipeline (PJ *P, size_t steps) {
/* Room for the pipeline: An array of PJ * with room for sentinels at both ends */
static_cast<struct pj_opaque*>(P->opaque)->pipeline = static_cast<PJ**>(pj_calloc (steps + 2, sizeof(PJ *)));
if (nullptr==static_cast<struct pj_opaque*>(P->opaque)->pipeline)
return nullptr;
static_cast<struct pj_opaque*>(P->opaque)->steps = (int)steps;
return P;
}
PJ *PROJECTION(vandg2) {
struct pj_opaque *Q = pj_calloc (1, sizeof (struct pj_opaque));
if (0==Q)
return freeup_new (P);
P->opaque = Q;
Q->vdg3 = 0;
P->fwd = s_forward;
return P;
}
PJ *PROJECTION(wag6) {
struct pj_opaque *Q = static_cast<struct pj_opaque*>(pj_calloc (1, sizeof (struct pj_opaque)));
if (nullptr==Q)
return pj_default_destructor (P, ENOMEM);
P->opaque = Q;
Q->C_x = Q->C_y = 0.94745;
Q->A = 0.0;
Q->B = 0.30396355092701331433;
return setup(P);
}
PJ *PROJECTION(lcc) {
double cosphi, sinphi;
int secant;
struct pj_opaque *Q = pj_calloc (1, sizeof (struct pj_opaque));
if (0==Q)
return pj_default_destructor (P, ENOMEM);
P->opaque = Q;
Q->phi1 = pj_param(P->ctx, P->params, "rlat_1").f;
if (pj_param(P->ctx, P->params, "tlat_2").i)
Q->phi2 = pj_param(P->ctx, P->params, "rlat_2").f;
else {
Q->phi2 = Q->phi1;
if (!pj_param(P->ctx, P->params, "tlat_0").i)
P->phi0 = Q->phi1;
}
if (fabs(Q->phi1 + Q->phi2) < EPS10)
return pj_default_destructor(P, PJD_ERR_CONIC_LAT_EQUAL);
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;
P->e = sqrt(P->es);
m1 = pj_msfn(sinphi, cosphi, P->es);
ml1 = pj_tsfn(Q->phi1, sinphi, P->e);
if (secant) { /* secant cone */
sinphi = sin(Q->phi2);
Q->n = log(m1 / pj_msfn(sinphi, cos(Q->phi2), P->es));
Q->n /= log(ml1 / pj_tsfn(Q->phi2, sinphi, P->e));
}
Q->c = (Q->rho0 = m1 * pow(ml1, -Q->n) / Q->n);
Q->rho0 *= (fabs(fabs(P->phi0) - M_HALFPI) < EPS10) ? 0. :
pow(pj_tsfn(P->phi0, sin(P->phi0), P->e), Q->n);
} else {
if (secant)
Q->n = log(cosphi / cos(Q->phi2)) /
log(tan(M_FORTPI + .5 * Q->phi2) /
tan(M_FORTPI + .5 * Q->phi1));
Q->c = cosphi * pow(tan(M_FORTPI + .5 * Q->phi1), Q->n) / Q->n;
Q->rho0 = (fabs(fabs(P->phi0) - M_HALFPI) < EPS10) ? 0. :
Q->c * pow(tan(M_FORTPI + .5 * P->phi0), -Q->n);
}
P->inv = e_inverse;
P->fwd = e_forward;
return P;
}
PJ *PROJECTION(eck3) {
struct pj_opaque *Q = static_cast<struct pj_opaque*>(pj_calloc (1, sizeof (struct pj_opaque)));
if (nullptr==Q)
return pj_default_destructor (P, ENOMEM);
P->opaque = Q;
Q->C_x = 0.42223820031577120149;
Q->C_y = 0.84447640063154240298;
Q->A = 1.0;
Q->B = 0.4052847345693510857755;
return setup(P);
}
PJ *PROJECTION(wink1) {
struct pj_opaque *Q = pj_calloc (1, sizeof (struct pj_opaque));
if (0==Q)
return freeup_new (P);
P->opaque = Q;
P->opaque->cosphi1 = cos (pj_param(P->ctx, P->params, "rlat_ts").f);
P->es = 0.;
P->inv = s_inverse;
P->fwd = s_forward;
return P;
}
PJ *PROJECTION(putp3p) {
struct pj_opaque *Q = static_cast<struct pj_opaque*>(pj_calloc (1, sizeof (struct pj_opaque)));
if (nullptr==Q)
return pj_default_destructor (P, ENOMEM);
P->opaque = Q;
Q->A = 2. * RPISQ;
P->es = 0.;
P->inv = s_inverse;
P->fwd = s_forward;
return P;
}
PJ *PROJECTION(putp3p) {
struct pj_opaque *Q = pj_calloc (1, sizeof (struct pj_opaque));
if (0==Q)
return freeup_new (P);
P->opaque = Q;
Q->A = 2. * RPISQ;
P->es = 0.;
P->inv = s_inverse;
P->fwd = s_forward;
return P;
}