EVOLUTION-MANAGER

Edit File: proj_rouss.c

/* ** libproj -- library of cartographic projections ** ** Copyright (c) 2003, 2006 Gerald I. 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> struct pj_opaque { double s0; double A1, A2, A3, A4, A5, A6; double B1, B2, B3, B4, B5, B6, B7, B8; double C1, C2, C3, C4, C5, C6, C7, C8; double D1, D2, D3, D4, D5, D6, D7, D8, D9, D10, D11; void *en; }; PROJ_HEAD(rouss, "Roussilhe Stereographic") "\n\tAzi., Ellps."; static XY e_forward (LP lp, PJ *P) { /* Ellipsoidal, forward */ XY xy = {0.0,0.0}; struct pj_opaque *Q = P->opaque; double s, al, cp, sp, al2, s2; cp = cos(lp.phi); sp = sin(lp.phi); s = proj_mdist(lp.phi, sp, cp, Q->en) - Q->s0; s2 = s * s; al = lp.lam * cp / sqrt(1. - P->es * sp * sp); al2 = al * al; xy.x = P->k0 * al*(1.+s2*(Q->A1+s2*Q->A4)-al2*(Q->A2+s*Q->A3+s2*Q->A5 +al2*Q->A6)); xy.y = P->k0 * (al2*(Q->B1+al2*Q->B4)+ s*(1.+al2*(Q->B3-al2*Q->B6)+s2*(Q->B2+s2*Q->B8)+ s*al2*(Q->B5+s*Q->B7))); return xy; } static LP e_inverse (XY xy, PJ *P) { /* Ellipsoidal, inverse */ LP lp = {0.0,0.0}; struct pj_opaque *Q = P->opaque; double s, al, x = xy.x / P->k0, y = xy.y / P->k0, x2, y2;; x2 = x * x; y2 = y * y; al = x*(1.-Q->C1*y2+x2*(Q->C2+Q->C3*y-Q->C4*x2+Q->C5*y2-Q->C7*x2*y) +y2*(Q->C6*y2-Q->C8*x2*y)); s = Q->s0 + y*(1.+y2*(-Q->D2+Q->D8*y2))+ x2*(-Q->D1+y*(-Q->D3+y*(-Q->D5+y*(-Q->D7+y*Q->D11)))+ x2*(Q->D4+y*(Q->D6+y*Q->D10)-x2*Q->D9)); lp.phi=proj_inv_mdist(P->ctx, s, Q->en); s = sin(lp.phi); lp.lam=al * sqrt(1. - P->es * s * s)/cos(lp.phi); return lp; } static void *freeup_new (PJ *P) { /* Destructor */ if (0==P) return 0; if (0==P->opaque) return pj_dealloc (P); if (P->opaque->en) pj_dealloc (P->opaque->en); pj_dealloc (P->opaque); return pj_dealloc(P); } static void freeup (PJ *P) { freeup_new (P); return; } PJ *PROJECTION(rouss) { double N0, es2, t, t2, R_R0_2, R_R0_4; struct pj_opaque *Q = pj_calloc (1, sizeof (struct pj_opaque)); if (0==Q) return freeup_new (P); P->opaque = Q; if (!((Q->en = proj_mdist_ini(P->es)))) E_ERROR_0; es2 = sin(P->phi0); Q->s0 = proj_mdist(P->phi0, es2, cos(P->phi0), Q->en); t = 1. - (es2 = P->es * es2 * es2); N0 = 1./sqrt(t); R_R0_2 = t * t / P->one_es; R_R0_4 = R_R0_2 * R_R0_2; t = tan(P->phi0); t2 = t * t; Q->C1 = Q->A1 = R_R0_2 / 4.; Q->C2 = Q->A2 = R_R0_2 * (2 * t2 - 1. - 2. * es2) / 12.; Q->A3 = R_R0_2 * t * (1. + 4. * t2)/ ( 12. * N0); Q->A4 = R_R0_4 / 24.; Q->A5 = R_R0_4 * ( -1. + t2 * (11. + 12. * t2))/24.; Q->A6 = R_R0_4 * ( -2. + t2 * (11. - 2. * t2))/240.; Q->B1 = t / (2. * N0); Q->B2 = R_R0_2 / 12.; Q->B3 = R_R0_2 * (1. + 2. * t2 - 2. * es2)/4.; Q->B4 = R_R0_2 * t * (2. - t2)/(24. * N0); Q->B5 = R_R0_2 * t * (5. + 4.* t2)/(8. * N0); Q->B6 = R_R0_4 * (-2. + t2 * (-5. + 6. * t2))/48.; Q->B7 = R_R0_4 * (5. + t2 * (19. + 12. * t2))/24.; Q->B8 = R_R0_4 / 120.; Q->C3 = R_R0_2 * t * (1. + t2)/(3. * N0); Q->C4 = R_R0_4 * (-3. + t2 * (34. + 22. * t2))/240.; Q->C5 = R_R0_4 * (4. + t2 * (13. + 12. * t2))/24.; Q->C6 = R_R0_4 / 16.; Q->C7 = R_R0_4 * t * (11. + t2 * (33. + t2 * 16.))/(48. * N0); Q->C8 = R_R0_4 * t * (1. + t2 * 4.)/(36. * N0); Q->D1 = t / (2. * N0); Q->D2 = R_R0_2 / 12.; Q->D3 = R_R0_2 * (2 * t2 + 1. - 2. * es2) / 4.; Q->D4 = R_R0_2 * t * (1. + t2)/(8. * N0); Q->D5 = R_R0_2 * t * (1. + t2 * 2.)/(4. * N0); Q->D6 = R_R0_4 * (1. + t2 * (6. + t2 * 6.))/16.; Q->D7 = R_R0_4 * t2 * (3. + t2 * 4.)/8.; Q->D8 = R_R0_4 / 80.; Q->D9 = R_R0_4 * t * (-21. + t2 * (178. - t2 * 26.))/720.; Q->D10 = R_R0_4 * t * (29. + t2 * (86. + t2 * 48.))/(96. * N0); Q->D11 = R_R0_4 * t * (37. + t2 * 44.)/(96. * N0); P->fwd = e_forward; P->inv = e_inverse; return P; } #ifndef PJ_SELFTEST int pj_rouss_selftest (void) {return 0;} #else int pj_rouss_selftest (void) { double tolerance_lp = 1e-10; double tolerance_xy = 1e-7; char e_args[] = {"+proj=rouss +ellps=GRS80 +lat_1=0.5 +lat_2=2"}; LP fwd_in[] = { { 2, 1}, { 2,-1}, {-2, 1}, {-2,-1} }; XY e_fwd_expect[] = { { 222644.89413161727, 110611.09186837047}, { 222644.89413161727, -110611.09186837047}, {-222644.89413161727, 110611.09186837047}, {-222644.89413161727, -110611.09186837047}, }; XY inv_in[] = { { 200, 100}, { 200,-100}, {-200, 100}, {-200,-100} }; LP e_inv_expect[] = { { 0.0017966305682019911, 0.00090436947683699559}, { 0.0017966305682019911, -0.00090436947683699559}, {-0.0017966305682019911, 0.00090436947683699559}, {-0.0017966305682019911, -0.00090436947683699559}, }; return pj_generic_selftest (e_args, 0, tolerance_xy, tolerance_lp, 4, 4, fwd_in, e_fwd_expect, 0, inv_in, e_inv_expect, 0); } #endif