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/******************************************************************************
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 * $Id: PJ_nzmg.c,v 1.3 2002/12/14 19:37:29 warmerda Exp $
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 *
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 * Project:  PROJ.4
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 * Purpose:  Implementation of the nzmg (New Zealand Map Grid) projection.
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 *           Very loosely based upon DMA code by Bradford W. Drew
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 * Author:   Gerald Evenden
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 *
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 ******************************************************************************
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 * Copyright (c) 1995, Gerald Evenden
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 *
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 * Permission is hereby granted, free of charge, to any person obtaining a
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 * copy of this software and associated documentation files (the "Software"),
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 * to deal in the Software without restriction, including without limitation
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 * the rights to use, copy, modify, merge, publish, distribute, sublicense,
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 * and/or sell copies of the Software, and to permit persons to whom the
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 * Software is furnished to do so, subject to the following conditions:
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 *
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 * The above copyright notice and this permission notice shall be included
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 * in all copies or substantial portions of the Software.
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 *
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 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
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 * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
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 * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
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 * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
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 * DEALINGS IN THE SOFTWARE.
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 ******************************************************************************
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 *
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 * $Log: PJ_nzmg.c,v $
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 * Revision 1.3  2002/12/14 19:37:29  warmerda
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 * updated headers
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 *
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 */
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/*  */
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#define PJ_LIB__
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#include        <projects.h>
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PJ_CVSID("$Id: PJ_nzmg.c,v 1.3 2002/12/14 19:37:29 warmerda Exp $");
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PROJ_HEAD(nzmg, "New Zealand Map Grid") "\n\tfixed Earth";
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#define EPSLN 1e-10
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#define SEC5_TO_RAD 0.4848136811095359935899141023
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#define RAD_TO_SEC5 2.062648062470963551564733573
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        static COMPLEX
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bf[] = {
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        {.7557853228,        0.0},
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        {.249204646,        .003371507},
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        {-.001541739,        .041058560},
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        {-.10162907,        .01727609},
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        {-.26623489,        -.36249218},
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        {-.6870983,        -1.1651967} };
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        static double
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tphi[] = { 1.5627014243, .5185406398, -.03333098, -.1052906, -.0368594,
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        .007317, .01220, .00394, -.0013 },
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tpsi[] = { .6399175073, -.1358797613, .063294409, -.02526853, .0117879,
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        -.0055161, .0026906, -.001333, .00067, -.00034 };
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#define Nbf 5
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#define Ntpsi 9
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#define Ntphi 8
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FORWARD(e_forward); /* ellipsoid */
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        COMPLEX p;
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        double *C;
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        int i;
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        lp.phi = (lp.phi - P->phi0) * RAD_TO_SEC5;
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        for (p.r = *(C = tpsi + (i = Ntpsi)); i ; --i)
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                p.r = *--C + lp.phi * p.r;
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        p.r *= lp.phi;
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        p.i = lp.lam;
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        p = pj_zpoly1(p, bf, Nbf);
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        xy.x = p.i;
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        xy.y = p.r;
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        return xy;
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}
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INVERSE(e_inverse); /* ellipsoid */
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        int nn, i;
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        COMPLEX p, f, fp, dp;
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        double den, *C;
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        p.r = xy.y;
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        p.i = xy.x;
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        for (nn = 20; nn ;--nn) {
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                f = pj_zpolyd1(p, bf, Nbf, &fp);
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                f.r -= xy.y;
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                f.i -= xy.x;
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                den = fp.r * fp.r + fp.i * fp.i;
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                p.r += dp.r = -(f.r * fp.r + f.i * fp.i) / den;
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                p.i += dp.i = -(f.i * fp.r - f.r * fp.i) / den;
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                if ((fabs(dp.r) + fabs(dp.i)) <= EPSLN)
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                        break;
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        }
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        if (nn) {
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                lp.lam = p.i;
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                for (lp.phi = *(C = tphi + (i = Ntphi)); i ; --i)
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                        lp.phi = *--C + p.r * lp.phi;
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                lp.phi = P->phi0 + p.r * lp.phi * SEC5_TO_RAD;
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        } else
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                lp.lam = lp.phi = HUGE_VAL;
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        return lp;
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}
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FREEUP; if (P) pj_dalloc(P); }
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ENTRY0(nzmg)
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        /* force to International major axis */
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        P->ra = 1. / (P->a = 6378388.0);
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        P->lam0 = DEG_TO_RAD * 173.;
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        P->phi0 = DEG_TO_RAD * -41.;
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        P->x0 = 2510000.;
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        P->y0 = 6023150.;
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        P->inv = e_inverse; P->fwd = e_forward;
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ENDENTRY(P)