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/*
** libproj -- library of cartographic projections
**
** Copyright (c) 2003, 2006 Gerald I. Evenden
*/
static const char
LIBPROJ_ID[] = "Id";
/*
** Permission is hereby granted, free of charge, to any person obtaining
** a copy of this software and associated documentation files (the
** "Software"), to deal in the Software without restriction, including
** without limitation the rights to use, copy, modify, merge, publish,
** distribute, sublicense, and/or sell copies of the Software, and to
** permit persons to whom the Software is furnished to do so, subject to
** the following conditions:
**
** The above copyright notice and this permission notice shall be
** included in all copies or substantial portions of the Software.
**
** THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
** EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
** MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
** IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
** CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
** TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
** SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
*/
#define PROJ_PARMS__ \
double n, np, root, Cy, Dy; \
int mode;
#define PROJ_LIB__
#define N_TOL 1e-6
# include <lib_proj.h>
PROJ_HEAD(nell_h, "Nell-Hammer") "\n\tPCyl., Sph. [n=]";
#define NITER 9
#define EPS 1e-7
FORWARD(s_forward); /* spheroid */
double cosphi, rtanf;
cosphi = cos(lp.phi);
switch (P->mode) {
case 1: /* n = 0.5 */
xy.x = 0.5 * lp.lam * (1. + cosphi);
xy.y = 2.0 * (lp.phi - tan(0.5 *lp.phi));
break;
case 2: /* n > 0.5 */
xy.x = (P->n + P->np * cosphi) * lp.lam;
rtanf = P->root * tan(0.5 * lp.phi);
xy.y = P->Cy * (lp.phi - P->Dy * atan(rtanf));
break;
case 0: /* n < 0.5 */
xy.x = (P->n + P->np * cosphi) * lp.lam;
xy.y = P->Cy * (lp.phi - P->Dy * atanh((1.-2.*P->n)*tan(0.5*lp.phi)/
P->root));
break;
}
return (xy);
}
INVERSE(s_inverse); /* spheroid */
double V, c, p;
int i;
(void) P; /* avoid warning */
p = 0.5 * xy.y;
for (i = NITER; i ; --i) {
c = cos(0.5 * lp.phi);
lp.phi -= V = (lp.phi - tan(lp.phi/2) - p)/(1. - 0.5/(c*c));
if (fabs(V) < EPS)
break;
}
if (!i) {
lp.phi = p < 0. ? -HALFPI : HALFPI;
lp.lam = 2. * xy.x;
} else
lp.lam = 2. * xy.x / (1. + cos(lp.phi));
return (lp);
}
FREEUP; if (P) free(P); }
ENTRY0(nell_h)
P->es = 0.;
if (proj_param(P->params, "tn").i) {
P->n = proj_param(P->params, "dn").f;
if ((P->n < N_TOL) || (P->n > 1.-N_TOL))
E_ERROR(-40)
} else
P->n = 0.5;
P->np = 1.0 - P->n;
if (fabs(P->n - 0.5) < N_TOL) {
P->mode = 1;
P->inv = s_inverse;
} else if (P->n < 0.5) {
P->mode = 0;
P->root = sqrt(1.0 - 2. * P->n);
P->Cy = 1.0/(1.-P->n);
P->Dy = 2. * P->n / P->root;
} else {
P->mode = 2;
P->root = sqrt(2. * P->n - 1.0);
P->Cy = 1.0/(1.-P->n);
P->Dy = 2.0* P->n / P->root;
}
P->fwd = s_forward;
ENDENTRY(P)
/*
** Log: proj_nell_h.c
** Revision 3.1 2006/01/11 01:38:18 gie
** Initial
**
*/
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