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/******************************************************************************
* Project: PROJ.4
* Purpose: Implementation of the Times projection.
* Author: Kristian Evers <kristianevers@gmail.com>
*
******************************************************************************
* Copyright (c) 2016, Kristian Evers
*
* 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.
*****************************************************************************
* Based on describtion of the Times Projection in
*
* Flattening the Earth, Snyder, J.P., 1993, p.213-214.
*****************************************************************************/
#define PJ_LIB__
#include <projects.h>
PROJ_HEAD(times, "Times") "\n\tCyl, Sph";
static XY s_forward (LP lp, PJ *P) { /* Spheroidal, forward */
double T, S, S2;
XY xy = {0.0,0.0};
(void) P;
T = tan(lp.phi/2.0);
S = sin(M_FORTPI * T);
S2 = S*S;
xy.x = lp.lam * (0.74482 - 0.34588*S2);
xy.y = 1.70711 * T;
return xy;
}
static LP s_inverse (XY xy, PJ *P) { /* Spheroidal, inverse */
double T, S, S2;
LP lp = {0.0,0.0};
(void) P;
T = xy.y / 1.70711;
S = sin(M_FORTPI * T);
S2 = S*S;
lp.lam = xy.x / (0.74482 - 0.34588 * S2);
lp.phi = 2 * atan(T);
return lp;
}
PJ *PROJECTION(times) {
P->es = 0.0;
P->inv = s_inverse;
P->fwd = s_forward;
return P;
}
int pj_times_selftest (void) {return 10000;}
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