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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;
}
static void *freeup_new (PJ *P) { /* Destructor */
if (0==P)
return 0;
return pj_dealloc(P);
}
static void freeup (PJ *P) {
freeup_new (P);
return;
}
PJ *PROJECTION(times) {
P->es = 0.0;
P->inv = s_inverse;
P->fwd = s_forward;
return P;
}
#ifndef PJ_SELFTEST
int pj_times_selftest (void) {return 0;}
#else
int pj_times_selftest (void) {
double tolerance_lp = 1e-10;
double tolerance_xy = 1e-7;
int result;
int n = 5;
char s_args[] = {"+proj=times +ellps=sphere"};
XY *inv_in = malloc(n*sizeof(XY));
LP *s_inv_expect = malloc(n*sizeof(LP));
LP fwd_in[] = {
{ 0, 0},
{ 80, 70},
{ 25, -10},
{-35, 20},
{-45, -30}
};
XY s_fwd_expect[] = {
{ 0.0, 0.0},
{ 5785183.5760670956, 7615452.0661204215},
{ 2065971.5301078814, -951526.0648494592},
{-2873054.0454850947, 1917730.9530005211},
{-3651383.2035214868, -2914213.4578159209},
};
memcpy(inv_in, &s_fwd_expect, n*sizeof(XY));
memcpy(s_inv_expect, &fwd_in, n*sizeof(LP));
result = pj_generic_selftest (0, s_args, tolerance_xy, tolerance_lp, n, n, fwd_in, 0, s_fwd_expect, inv_in, 0, s_inv_expect);
free(inv_in);
free(s_inv_expect);
return result;
}
#endif
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