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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 phi1; \
double cphi1; \
double am1; \
double m1; \
void *en;
#define PROJ_LIB__
#include <lib_proj.h>
PROJ_HEAD(bonne, "Bonne (Werner lat_1=90)")
"\n\tConic Sph&Ell\n\tlat_1=";
#define EPS10 1e-10
FORWARD(e_forward); /* ellipsoid */
double rh, E, c;
rh = P->am1 + P->m1 - proj_mdist(lp.phi, E = sin(lp.phi), c = cos(lp.phi), P->en);
E = c * lp.lam / (rh * sqrt(1. - P->es * E * E));
xy.x = rh * sin(E);
xy.y = P->am1 - rh * cos(E);
return (xy);
}
FORWARD(s_forward); /* spheroid */
double E, rh;
rh = P->cphi1 + P->phi1 - lp.phi;
if (fabs(rh) > EPS10) {
xy.x = rh * sin(E = lp.lam * cos(lp.phi) / rh);
xy.y = P->cphi1 - rh * cos(E);
} else
xy.x = xy.y = 0.;
return (xy);
}
INVERSE(s_inverse); /* spheroid */
double rh;
rh = hypot(xy.x, xy.y = P->cphi1 - xy.y);
lp.phi = P->cphi1 + P->phi1 - rh;
if (fabs(lp.phi) > HALFPI) I_ERROR;
if (fabs(fabs(lp.phi) - HALFPI) <= EPS10)
lp.lam = 0.;
else
lp.lam = rh * atan2(xy.x, xy.y) / cos(lp.phi);
return (lp);
}
INVERSE(e_inverse); /* ellipsoid */
double s, rh;
rh = hypot(xy.x, xy.y = P->am1 - xy.y);
lp.phi = proj_inv_mdist(P->am1 + P->m1 - rh, P->en);
if ((s = fabs(lp.phi)) < HALFPI) {
s = sin(lp.phi);
lp.lam = rh * atan2(xy.x, xy.y) *
sqrt(1. - P->es * s * s) / cos(lp.phi);
} else if (fabs(s - HALFPI) <= EPS10)
lp.lam = 0.;
else I_ERROR;
return (lp);
}
FREEUP;
if (P) {
if (P->en)
free(P->en);
free(P);
}
}
ENTRY1(bonne, en)
double c;
P->phi1 = proj_param(P->params, "rlat_1").f;
if (fabs(P->phi1) < EPS10) E_ERROR(-23);
if (P->es) {
if (!(P->en = proj_mdist_ini(P->es))) E_ERROR_0;
P->m1 = proj_mdist(P->phi1, P->am1 = sin(P->phi1),
c = cos(P->phi1), P->en);
P->am1 = c / (sqrt(1. - P->es * P->am1 * P->am1) * P->am1);
P->inv = e_inverse;
P->fwd = e_forward;
} else {
if (fabs(P->phi1) + EPS10 >= HALFPI)
P->cphi1 = 0.;
else
P->cphi1 = 1. / tan(P->phi1);
P->inv = s_inverse;
P->fwd = s_forward;
}
ENDENTRY(P)
/*
** Log: proj_bonne.c
** Revision 3.1 2006/01/11 01:38:18 gie
** Initial
**
*/
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