diff options
| author | Even Rouault <even.rouault@spatialys.com> | 2018-12-19 13:00:37 +0100 |
|---|---|---|
| committer | Even Rouault <even.rouault@spatialys.com> | 2018-12-26 10:08:55 +0100 |
| commit | df574ae332d57f556fd56314883b3354cab1d0ff (patch) | |
| tree | 63a68d40d7ed7932d6329d9c7baa340bb6294f7f /src/transformations/molodensky.cpp | |
| parent | e6de172371ea203f6393d745641d66c82b5b13e2 (diff) | |
| download | PROJ-df574ae332d57f556fd56314883b3354cab1d0ff.tar.gz PROJ-df574ae332d57f556fd56314883b3354cab1d0ff.zip | |
cpp conversion: remove useless pj_, PJ_ and proj_ filename prefixes
Diffstat (limited to 'src/transformations/molodensky.cpp')
| -rw-r--r-- | src/transformations/molodensky.cpp | 329 |
1 files changed, 329 insertions, 0 deletions
diff --git a/src/transformations/molodensky.cpp b/src/transformations/molodensky.cpp new file mode 100644 index 00000000..91743fda --- /dev/null +++ b/src/transformations/molodensky.cpp @@ -0,0 +1,329 @@ +/*********************************************************************** + + (Abridged) Molodensky Transform + + Kristian Evers, 2017-07-07 + +************************************************************************ + + Implements the (abridged) Molodensky transformations for 2D and 3D + data. + + Primarily useful for implementation of datum shifts in transformation + pipelines. + + The code in this file is mostly based on + + The Standard and Abridged Molodensky Coordinate Transformation + Formulae, 2004, R.E. Deaking, + http://www.mygeodesy.id.au/documents/Molodensky%20V2.pdf + + + +************************************************************************ +* Copyright (c) 2017, Kristian Evers / SDFE +* +* 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 <errno.h> +#include <math.h> + +#include "proj.h" +#include "proj_internal.h" +#include "projects.h" + +PROJ_HEAD(molodensky, "Molodensky transform"); + +static XYZ forward_3d(LPZ lpz, PJ *P); +static LPZ reverse_3d(XYZ xyz, PJ *P); + +namespace { // anonymous namespace +struct pj_opaque_molodensky { + double dx; + double dy; + double dz; + double da; + double df; + int abridged; +}; +} // anonymous namespace + + +static double RN (double a, double es, double phi) { +/********************************************************** + N(phi) - prime vertical radius of curvature + ------------------------------------------- + + This is basically the same function as in PJ_cart.c + should probably be refactored into it's own file at some + point. + +**********************************************************/ + double s = sin(phi); + if (es==0) + return a; + + return a / sqrt (1 - es*s*s); +} + + +static double RM (double a, double es, double phi) { +/********************************************************** + M(phi) - Meridian radius of curvature + ------------------------------------- + + Source: + + E.J Krakiwsky & D.B. Thomson, 1974, + GEODETIC POSITION COMPUTATIONS, + + Fredericton NB, Canada: + University of New Brunswick, + Department of Geodesy and Geomatics Engineering, + Lecture Notes No. 39, + 99 pp. + + http://www2.unb.ca/gge/Pubs/LN39.pdf + +**********************************************************/ + double s = sin(phi); + if (es==0) + return a; + + /* eq. 13a */ + if (phi == 0) + return a * (1-es); + + /* eq. 13b */ + if (fabs(phi) == M_PI_2) + return a / sqrt(1-es); + + /* eq. 13 */ + return (a * (1 - es) ) / pow(1 - es*s*s, 1.5); + +} + + +static LPZ calc_standard_params(LPZ lpz, PJ *P) { + struct pj_opaque_molodensky *Q = (struct pj_opaque_molodensky *) P->opaque; + double dphi, dlam, dh; + + /* sines and cosines */ + double slam = sin(lpz.lam); + double clam = cos(lpz.lam); + double sphi = sin(lpz.phi); + double cphi = cos(lpz.phi); + + /* ellipsoid parameters and differences */ + double f = P->f, a = P->a; + double dx = Q->dx, dy = Q->dy, dz = Q->dz; + double da = Q->da, df = Q->df; + + /* ellipsoid radii of curvature */ + double rho = RM(a, P->es, lpz.phi); + double nu = RN(a, P->e2s, lpz.phi); + + /* delta phi */ + dphi = (-dx*sphi*clam) - (dy*sphi*slam) + (dz*cphi) + + ((nu * P->es * sphi * cphi * da) / a) + + (sphi*cphi * ( rho/(1-f) + nu*(1-f))*df); + dphi /= (rho + lpz.z); + + /* delta lambda */ + dlam = (-dx*slam + dy*clam) / ((nu+lpz.z)*cphi); + + /* delta h */ + dh = dx*cphi*clam + dy*cphi*slam + dz*sphi - (a/nu)*da + nu*(1-f)*sphi*sphi*df; + + lpz.phi = dphi; + lpz.lam = dlam; + lpz.z = dh; + + return lpz; +} + + +static LPZ calc_abridged_params(LPZ lpz, PJ *P) { + struct pj_opaque_molodensky *Q = (struct pj_opaque_molodensky *) P->opaque; + double dphi, dlam, dh; + + /* sines and cosines */ + double slam = sin(lpz.lam); + double clam = cos(lpz.lam); + double sphi = sin(lpz.phi); + double cphi = cos(lpz.phi); + + /* ellipsoid parameters and differences */ + double dx = Q->dx, dy = Q->dy, dz = Q->dz; + double da = Q->da, df = Q->df; + double adffda = (P->a*df + P->f*da); + + /* delta phi */ + dphi = -dx*sphi*clam - dy*sphi*slam + dz*cphi + adffda*sin(2*lpz.phi); + dphi /= RM(P->a, P->es, lpz.phi); + + /* delta lambda */ + dlam = -dx*slam + dy*clam; + dlam /= RN(P->a, P->e2s, lpz.phi)*cphi; + + /* delta h */ + dh = dx*cphi*clam + dy*cphi*slam + dz*sphi - da + adffda*sphi*sphi; + + /* offset coordinate */ + lpz.phi = dphi; + lpz.lam = dlam; + lpz.z = dh; + + return lpz; +} + + +static XY forward_2d(LP lp, PJ *P) { + PJ_COORD point = {{0,0,0,0}}; + + point.lp = lp; + point.xyz = forward_3d(point.lpz, P); + + return point.xy; +} + + +static LP reverse_2d(XY xy, PJ *P) { + PJ_COORD point = {{0,0,0,0}}; + + point.xy = xy; + point.xyz.z = 0; + point.lpz = reverse_3d(point.xyz, P); + + return point.lp; +} + + +static XYZ forward_3d(LPZ lpz, PJ *P) { + struct pj_opaque_molodensky *Q = (struct pj_opaque_molodensky *) P->opaque; + PJ_COORD point = {{0,0,0,0}}; + + point.lpz = lpz; + + /* calculate parameters depending on the mode we are in */ + if (Q->abridged) { + lpz = calc_abridged_params(lpz, P); + } else { + lpz = calc_standard_params(lpz, P); + } + + /* offset coordinate */ + point.lpz.phi += lpz.phi; + point.lpz.lam += lpz.lam; + point.lpz.z += lpz.z; + + return point.xyz; +} + + +static PJ_COORD forward_4d(PJ_COORD obs, PJ *P) { + obs.xyz = forward_3d(obs.lpz, P); + return obs; +} + + +static LPZ reverse_3d(XYZ xyz, PJ *P) { + struct pj_opaque_molodensky *Q = (struct pj_opaque_molodensky *) P->opaque; + PJ_COORD point = {{0,0,0,0}}; + LPZ lpz; + + /* calculate parameters depending on the mode we are in */ + point.xyz = xyz; + if (Q->abridged) + lpz = calc_abridged_params(point.lpz, P); + else + lpz = calc_standard_params(point.lpz, P); + + /* offset coordinate */ + point.lpz.phi -= lpz.phi; + point.lpz.lam -= lpz.lam; + point.lpz.z -= lpz.z; + + return point.lpz; +} + + +static PJ_COORD reverse_4d(PJ_COORD obs, PJ *P) { + obs.lpz = reverse_3d(obs.xyz, P); + return obs; +} + + +PJ *TRANSFORMATION(molodensky,1) { + int count_required_params = 0; + struct pj_opaque_molodensky *Q = static_cast<struct pj_opaque_molodensky*>(pj_calloc(1, sizeof(struct pj_opaque_molodensky))); + if (nullptr==Q) + return pj_default_destructor(P, ENOMEM); + P->opaque = (void *) Q; + + P->fwd4d = forward_4d; + P->inv4d = reverse_4d; + P->fwd3d = forward_3d; + P->inv3d = reverse_3d; + P->fwd = forward_2d; + P->inv = reverse_2d; + + P->left = PJ_IO_UNITS_ANGULAR; + P->right = PJ_IO_UNITS_ANGULAR; + + /* read args */ + if (pj_param(P->ctx, P->params, "tdx").i) { + count_required_params ++; + Q->dx = pj_param(P->ctx, P->params, "ddx").f; + } + + if (pj_param(P->ctx, P->params, "tdy").i) { + count_required_params ++; + Q->dy = pj_param(P->ctx, P->params, "ddy").f; + } + + if (pj_param(P->ctx, P->params, "tdz").i) { + count_required_params ++; + Q->dz = pj_param(P->ctx, P->params, "ddz").f; + } + + if (pj_param(P->ctx, P->params, "tda").i) { + count_required_params ++; + Q->da = pj_param(P->ctx, P->params, "dda").f; + } + + if (pj_param(P->ctx, P->params, "tdf").i) { + count_required_params ++; + Q->df = pj_param(P->ctx, P->params, "ddf").f; + } + + Q->abridged = pj_param(P->ctx, P->params, "tabridged").i; + + /* We want all parameters (except +abridged) to be set */ + if (count_required_params == 0) + return pj_default_destructor(P, PJD_ERR_NO_ARGS); + + if (count_required_params != 5) + return pj_default_destructor(P, PJD_ERR_MISSING_ARGS); + + return P; +} |
