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/******************************************************************************
* Project: PROJ.4
* Purpose: Implementation of the nzmg (New Zealand Map Grid) projection.
* Very loosely based upon DMA code by Bradford W. Drew
* Author: Gerald Evenden
*
******************************************************************************
* Copyright (c) 1995, Gerald Evenden
*
* 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 PJ_LIB__
#include "projects.h"
PROJ_HEAD(nzmg, "New Zealand Map Grid") "\n\tfixed Earth";
#define EPSLN 1e-10
#define SEC5_TO_RAD 0.4848136811095359935899141023
#define RAD_TO_SEC5 2.062648062470963551564733573
static const COMPLEX bf[] = {
{ .7557853228, 0.0},
{ .249204646, 0.003371507},
{-.001541739, 0.041058560},
{-.10162907, 0.01727609},
{-.26623489, -0.36249218},
{-.6870983, -1.1651967} };
static const double tphi[] = { 1.5627014243, .5185406398, -.03333098,
-.1052906, -.0368594, .007317,
.01220, .00394, -.0013 };
static const double tpsi[] = { .6399175073, -.1358797613, .063294409, -.02526853, .0117879,
-.0055161, .0026906, -.001333, .00067, -.00034 };
#define Nbf 5
#define Ntpsi 9
#define Ntphi 8
static XY e_forward (LP lp, PJ *P) { /* Ellipsoidal, forward */
XY xy = {0.0,0.0};
COMPLEX p;
const double *C;
int i;
lp.phi = (lp.phi - P->phi0) * RAD_TO_SEC5;
for (p.r = *(C = tpsi + (i = Ntpsi)); i ; --i)
p.r = *--C + lp.phi * p.r;
p.r *= lp.phi;
p.i = lp.lam;
p = pj_zpoly1(p, bf, Nbf);
xy.x = p.i;
xy.y = p.r;
return xy;
}
static LP e_inverse (XY xy, PJ *P) { /* Ellipsoidal, inverse */
LP lp = {0.0,0.0};
int nn, i;
COMPLEX p, f, fp, dp;
double den;
const double *C;
p.r = xy.y;
p.i = xy.x;
for (nn = 20; nn ;--nn) {
f = pj_zpolyd1(p, bf, Nbf, &fp);
f.r -= xy.y;
f.i -= xy.x;
den = fp.r * fp.r + fp.i * fp.i;
p.r += dp.r = -(f.r * fp.r + f.i * fp.i) / den;
p.i += dp.i = -(f.i * fp.r - f.r * fp.i) / den;
if ((fabs(dp.r) + fabs(dp.i)) <= EPSLN)
break;
}
if (nn) {
lp.lam = p.i;
for (lp.phi = *(C = tphi + (i = Ntphi)); i ; --i)
lp.phi = *--C + p.r * lp.phi;
lp.phi = P->phi0 + p.r * lp.phi * SEC5_TO_RAD;
} else
lp.lam = lp.phi = HUGE_VAL;
return lp;
}
PJ *PROJECTION(nzmg) {
/* force to International major axis */
P->ra = 1. / (P->a = 6378388.0);
P->lam0 = DEG_TO_RAD * 173.;
P->phi0 = DEG_TO_RAD * -41.;
P->x0 = 2510000.;
P->y0 = 6023150.;
P->inv = e_inverse;
P->fwd = e_forward;
return P;
}
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