409 lines
18 KiB
C++
409 lines
18 KiB
C++
// Boost.Geometry - gis-projections (based on PROJ4)
|
|
|
|
// Copyright (c) 2008-2015 Barend Gehrels, Amsterdam, the Netherlands.
|
|
|
|
// This file was modified by Oracle on 2017-2021.
|
|
// Modifications copyright (c) 2017-2021, Oracle and/or its affiliates.
|
|
// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle.
|
|
|
|
// Use, modification and distribution is subject to the Boost Software License,
|
|
// Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
|
|
// http://www.boost.org/LICENSE_1_0.txt)
|
|
|
|
// This file is converted from PROJ4, http://trac.osgeo.org/proj
|
|
// PROJ4 is originally written by Gerald Evenden (then of the USGS)
|
|
// PROJ4 is maintained by Frank Warmerdam
|
|
// PROJ4 is converted to Boost.Geometry by Barend Gehrels
|
|
|
|
// Last updated version of proj: 5.0.0
|
|
|
|
// Original copyright notice:
|
|
|
|
// 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.
|
|
|
|
#ifndef BOOST_GEOMETRY_PROJECTIONS_IGH_HPP
|
|
#define BOOST_GEOMETRY_PROJECTIONS_IGH_HPP
|
|
|
|
#include <boost/geometry/srs/projections/impl/base_static.hpp>
|
|
#include <boost/geometry/srs/projections/impl/base_dynamic.hpp>
|
|
#include <boost/geometry/srs/projections/impl/projects.hpp>
|
|
#include <boost/geometry/srs/projections/impl/factory_entry.hpp>
|
|
#include <boost/geometry/srs/projections/proj/gn_sinu.hpp>
|
|
#include <boost/geometry/srs/projections/proj/moll.hpp>
|
|
|
|
#include <boost/geometry/util/math.hpp>
|
|
|
|
#include <boost/shared_ptr.hpp>
|
|
|
|
namespace boost { namespace geometry
|
|
{
|
|
|
|
namespace projections
|
|
{
|
|
#ifndef DOXYGEN_NO_DETAIL
|
|
namespace detail { namespace igh
|
|
{
|
|
template <typename T>
|
|
struct par_igh_zone
|
|
{
|
|
T x0;
|
|
T y0;
|
|
T lam0;
|
|
};
|
|
|
|
// NOTE: x0, y0, lam0 are not used in moll nor sinu projections
|
|
// so it is a waste of memory to keep 12 copies of projections
|
|
// with parameters as in the original Proj4.
|
|
|
|
// TODO: It would be possible to further decrease the size of par_igh
|
|
// because spherical sinu and moll has constant parameters.
|
|
// TODO: Furthermore there is no need to store par_igh_zone parameters
|
|
// since they are constant for zones. In both fwd() and inv() there are
|
|
// parts of code dependent on specific zones (if statements) anyway
|
|
// so these parameters could be hardcoded there instead of stored.
|
|
|
|
template <typename T, typename Parameters>
|
|
struct par_igh
|
|
{
|
|
moll_spheroid<T, Parameters> moll;
|
|
sinu_spheroid<T, Parameters> sinu;
|
|
par_igh_zone<T> zones[12];
|
|
T dy0;
|
|
|
|
// NOTE: The constructors of moll and sinu projections sets
|
|
// par.es = 0
|
|
|
|
template <typename Params>
|
|
inline par_igh(Params const& params, Parameters & par)
|
|
: moll(params, par)
|
|
, sinu(params, par)
|
|
{}
|
|
|
|
inline void fwd(int zone, Parameters const& par, T const& lp_lon, T const& lp_lat, T & xy_x, T & xy_y) const
|
|
{
|
|
if (zone <= 2 || zone >= 9) // 1, 2, 9, 10, 11, 12
|
|
moll.fwd(par, lp_lon, lp_lat, xy_x, xy_y);
|
|
else // 3, 4, 5, 6, 7, 8
|
|
sinu.fwd(par, lp_lon, lp_lat, xy_x, xy_y);
|
|
}
|
|
|
|
inline void inv(int zone, Parameters const& par, T const& xy_x, T const& xy_y, T & lp_lon, T & lp_lat) const
|
|
{
|
|
if (zone <= 2 || zone >= 9) // 1, 2, 9, 10, 11, 12
|
|
moll.inv(par, xy_x, xy_y, lp_lon, lp_lat);
|
|
else // 3, 4, 5, 6, 7, 8
|
|
sinu.inv(par, xy_x, xy_y, lp_lon, lp_lat);
|
|
}
|
|
|
|
inline void set_zone(int zone, T const& x_0, T const& y_0, T const& lon_0)
|
|
{
|
|
zones[zone - 1].x0 = x_0;
|
|
zones[zone - 1].y0 = y_0;
|
|
zones[zone - 1].lam0 = lon_0;
|
|
}
|
|
|
|
inline par_igh_zone<T> const& get_zone(int zone) const
|
|
{
|
|
return zones[zone - 1];
|
|
}
|
|
};
|
|
|
|
/* 40d 44' 11.8" [degrees] */
|
|
template <typename T>
|
|
inline T d4044118() { return (T(40) + T(44)/T(60.) + T(11.8)/T(3600.)) * geometry::math::d2r<T>(); }
|
|
|
|
template <typename T>
|
|
inline T d10() { return T(10) * geometry::math::d2r<T>(); }
|
|
template <typename T>
|
|
inline T d20() { return T(20) * geometry::math::d2r<T>(); }
|
|
template <typename T>
|
|
inline T d30() { return T(30) * geometry::math::d2r<T>(); }
|
|
template <typename T>
|
|
inline T d40() { return T(40) * geometry::math::d2r<T>(); }
|
|
template <typename T>
|
|
inline T d50() { return T(50) * geometry::math::d2r<T>(); }
|
|
template <typename T>
|
|
inline T d60() { return T(60) * geometry::math::d2r<T>(); }
|
|
template <typename T>
|
|
inline T d80() { return T(80) * geometry::math::d2r<T>(); }
|
|
template <typename T>
|
|
inline T d90() { return T(90) * geometry::math::d2r<T>(); }
|
|
template <typename T>
|
|
inline T d100() { return T(100) * geometry::math::d2r<T>(); }
|
|
template <typename T>
|
|
inline T d140() { return T(140) * geometry::math::d2r<T>(); }
|
|
template <typename T>
|
|
inline T d160() { return T(160) * geometry::math::d2r<T>(); }
|
|
template <typename T>
|
|
inline T d180() { return T(180) * geometry::math::d2r<T>(); }
|
|
|
|
static const double epsilon = 1.e-10; // allow a little 'slack' on zone edge positions
|
|
|
|
template <typename T, typename Parameters>
|
|
struct base_igh_spheroid
|
|
{
|
|
par_igh<T, Parameters> m_proj_parm;
|
|
|
|
template <typename Params>
|
|
inline base_igh_spheroid(Params const& params, Parameters & par)
|
|
: m_proj_parm(params, par)
|
|
{}
|
|
|
|
// FORWARD(s_forward) spheroid
|
|
// Project coordinates from geographic (lon, lat) to cartesian (x, y)
|
|
inline void fwd(Parameters const& par, T lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
|
|
{
|
|
static const T d4044118 = igh::d4044118<T>();
|
|
static const T d20 = igh::d20<T>();
|
|
static const T d40 = igh::d40<T>();
|
|
static const T d80 = igh::d80<T>();
|
|
static const T d100 = igh::d100<T>();
|
|
|
|
int z;
|
|
if (lp_lat >= d4044118) { // 1|2
|
|
z = (lp_lon <= -d40 ? 1: 2);
|
|
}
|
|
else if (lp_lat >= 0) { // 3|4
|
|
z = (lp_lon <= -d40 ? 3: 4);
|
|
}
|
|
else if (lp_lat >= -d4044118) { // 5|6|7|8
|
|
if (lp_lon <= -d100) z = 5; // 5
|
|
else if (lp_lon <= -d20) z = 6; // 6
|
|
else if (lp_lon <= d80) z = 7; // 7
|
|
else z = 8; // 8
|
|
}
|
|
else { // 9|10|11|12
|
|
if (lp_lon <= -d100) z = 9; // 9
|
|
else if (lp_lon <= -d20) z = 10; // 10
|
|
else if (lp_lon <= d80) z = 11; // 11
|
|
else z = 12; // 12
|
|
}
|
|
|
|
lp_lon -= this->m_proj_parm.get_zone(z).lam0;
|
|
this->m_proj_parm.fwd(z, par, lp_lon, lp_lat, xy_x, xy_y);
|
|
xy_x += this->m_proj_parm.get_zone(z).x0;
|
|
xy_y += this->m_proj_parm.get_zone(z).y0;
|
|
}
|
|
|
|
// INVERSE(s_inverse) spheroid
|
|
// Project coordinates from cartesian (x, y) to geographic (lon, lat)
|
|
inline void inv(Parameters const& par, T xy_x, T xy_y, T& lp_lon, T& lp_lat) const
|
|
{
|
|
static const T d4044118 = igh::d4044118<T>();
|
|
static const T d10 = igh::d10<T>();
|
|
static const T d20 = igh::d20<T>();
|
|
static const T d40 = igh::d40<T>();
|
|
static const T d50 = igh::d50<T>();
|
|
static const T d60 = igh::d60<T>();
|
|
static const T d80 = igh::d80<T>();
|
|
static const T d90 = igh::d90<T>();
|
|
static const T d100 = igh::d100<T>();
|
|
static const T d160 = igh::d160<T>();
|
|
static const T d180 = igh::d180<T>();
|
|
|
|
static const T c2 = 2.0;
|
|
|
|
const T y90 = this->m_proj_parm.dy0 + sqrt(c2); // lt=90 corresponds to y=y0+sqrt(2.0)
|
|
|
|
int z = 0;
|
|
if (xy_y > y90+epsilon || xy_y < -y90+epsilon) // 0
|
|
z = 0;
|
|
else if (xy_y >= d4044118) // 1|2
|
|
z = (xy_x <= -d40? 1: 2);
|
|
else if (xy_y >= 0) // 3|4
|
|
z = (xy_x <= -d40? 3: 4);
|
|
else if (xy_y >= -d4044118) { // 5|6|7|8
|
|
if (xy_x <= -d100) z = 5; // 5
|
|
else if (xy_x <= -d20) z = 6; // 6
|
|
else if (xy_x <= d80) z = 7; // 7
|
|
else z = 8; // 8
|
|
}
|
|
else { // 9|10|11|12
|
|
if (xy_x <= -d100) z = 9; // 9
|
|
else if (xy_x <= -d20) z = 10; // 10
|
|
else if (xy_x <= d80) z = 11; // 11
|
|
else z = 12; // 12
|
|
}
|
|
|
|
if (z)
|
|
{
|
|
int ok = 0;
|
|
|
|
xy_x -= this->m_proj_parm.get_zone(z).x0;
|
|
xy_y -= this->m_proj_parm.get_zone(z).y0;
|
|
this->m_proj_parm.inv(z, par, xy_x, xy_y, lp_lon, lp_lat);
|
|
lp_lon += this->m_proj_parm.get_zone(z).lam0;
|
|
|
|
switch (z) {
|
|
case 1: ok = (lp_lon >= -d180-epsilon && lp_lon <= -d40+epsilon) ||
|
|
((lp_lon >= -d40-epsilon && lp_lon <= -d10+epsilon) &&
|
|
(lp_lat >= d60-epsilon && lp_lat <= d90+epsilon)); break;
|
|
case 2: ok = (lp_lon >= -d40-epsilon && lp_lon <= d180+epsilon) ||
|
|
((lp_lon >= -d180-epsilon && lp_lon <= -d160+epsilon) &&
|
|
(lp_lat >= d50-epsilon && lp_lat <= d90+epsilon)) ||
|
|
((lp_lon >= -d50-epsilon && lp_lon <= -d40+epsilon) &&
|
|
(lp_lat >= d60-epsilon && lp_lat <= d90+epsilon)); break;
|
|
case 3: ok = (lp_lon >= -d180-epsilon && lp_lon <= -d40+epsilon); break;
|
|
case 4: ok = (lp_lon >= -d40-epsilon && lp_lon <= d180+epsilon); break;
|
|
case 5: ok = (lp_lon >= -d180-epsilon && lp_lon <= -d100+epsilon); break;
|
|
case 6: ok = (lp_lon >= -d100-epsilon && lp_lon <= -d20+epsilon); break;
|
|
case 7: ok = (lp_lon >= -d20-epsilon && lp_lon <= d80+epsilon); break;
|
|
case 8: ok = (lp_lon >= d80-epsilon && lp_lon <= d180+epsilon); break;
|
|
case 9: ok = (lp_lon >= -d180-epsilon && lp_lon <= -d100+epsilon); break;
|
|
case 10: ok = (lp_lon >= -d100-epsilon && lp_lon <= -d20+epsilon); break;
|
|
case 11: ok = (lp_lon >= -d20-epsilon && lp_lon <= d80+epsilon); break;
|
|
case 12: ok = (lp_lon >= d80-epsilon && lp_lon <= d180+epsilon); break;
|
|
}
|
|
|
|
z = (!ok? 0: z); // projectable?
|
|
}
|
|
// if (!z) pj_errno = -15; // invalid x or y
|
|
if (!z) lp_lon = HUGE_VAL;
|
|
if (!z) lp_lat = HUGE_VAL;
|
|
}
|
|
|
|
static inline std::string get_name()
|
|
{
|
|
return "igh_spheroid";
|
|
}
|
|
|
|
};
|
|
|
|
// Interrupted Goode Homolosine
|
|
template <typename Params, typename Parameters, typename T>
|
|
inline void setup_igh(Params const& , Parameters& par, par_igh<T, Parameters>& proj_parm)
|
|
{
|
|
static const T d0 = 0;
|
|
static const T d4044118 = igh::d4044118<T>();
|
|
static const T d20 = igh::d20<T>();
|
|
static const T d30 = igh::d30<T>();
|
|
static const T d60 = igh::d60<T>();
|
|
static const T d100 = igh::d100<T>();
|
|
static const T d140 = igh::d140<T>();
|
|
static const T d160 = igh::d160<T>();
|
|
|
|
/*
|
|
Zones:
|
|
|
|
-180 -40 180
|
|
+--------------+-------------------------+ Zones 1,2,9,10,11 & 12:
|
|
|1 |2 | Mollweide projection
|
|
| | |
|
|
+--------------+-------------------------+ Zones 3,4,5,6,7 & 8:
|
|
|3 |4 | Sinusoidal projection
|
|
| | |
|
|
0 +-------+------+-+-----------+-----------+
|
|
|5 |6 |7 |8 |
|
|
| | | | |
|
|
+-------+--------+-----------+-----------+
|
|
|9 |10 |11 |12 |
|
|
| | | | |
|
|
+-------+--------+-----------+-----------+
|
|
-180 -100 -20 80 180
|
|
*/
|
|
|
|
T lp_lam = 0, lp_phi = d4044118;
|
|
T xy1_x, xy1_y;
|
|
T xy3_x, xy3_y;
|
|
|
|
// sinusoidal zones
|
|
proj_parm.set_zone(3, -d100, d0, -d100);
|
|
proj_parm.set_zone(4, d30, d0, d30);
|
|
proj_parm.set_zone(5, -d160, d0, -d160);
|
|
proj_parm.set_zone(6, -d60, d0, -d60);
|
|
proj_parm.set_zone(7, d20, d0, d20);
|
|
proj_parm.set_zone(8, d140, d0, d140);
|
|
|
|
// mollweide zones
|
|
proj_parm.set_zone(1, -d100, d0, -d100);
|
|
|
|
// NOTE: x0, y0, lam0 are not used in moll nor sinu fwd
|
|
// so the order of initialization doesn't matter that much.
|
|
// But keep the original one from Proj4.
|
|
|
|
// y0 ?
|
|
proj_parm.fwd(1, par, lp_lam, lp_phi, xy1_x, xy1_y); // zone 1
|
|
proj_parm.fwd(3, par, lp_lam, lp_phi, xy3_x, xy3_y); // zone 3
|
|
// y0 + xy1_y = xy3_y for lt = 40d44'11.8"
|
|
proj_parm.dy0 = xy3_y - xy1_y;
|
|
|
|
proj_parm.zones[0].y0 = proj_parm.dy0; // zone 1
|
|
|
|
// mollweide zones (cont'd)
|
|
proj_parm.set_zone(2, d30, proj_parm.dy0, d30);
|
|
proj_parm.set_zone(9, -d160, -proj_parm.dy0, -d160);
|
|
proj_parm.set_zone(10, -d60, -proj_parm.dy0, -d60);
|
|
proj_parm.set_zone(11, d20, -proj_parm.dy0, d20);
|
|
proj_parm.set_zone(12, d140, -proj_parm.dy0, d140);
|
|
|
|
// NOTE: Already done before in sinu and moll constructor
|
|
//par.es = 0.;
|
|
}
|
|
|
|
}} // namespace detail::igh
|
|
#endif // doxygen
|
|
|
|
/*!
|
|
\brief Interrupted Goode Homolosine projection
|
|
\ingroup projections
|
|
\tparam Geographic latlong point type
|
|
\tparam Cartesian xy point type
|
|
\tparam Parameters parameter type
|
|
\par Projection characteristics
|
|
- Pseudocylindrical
|
|
- Spheroid
|
|
\par Example
|
|
\image html ex_igh.gif
|
|
*/
|
|
template <typename T, typename Parameters>
|
|
struct igh_spheroid : public detail::igh::base_igh_spheroid<T, Parameters>
|
|
{
|
|
template <typename Params>
|
|
inline igh_spheroid(Params const& params, Parameters & par)
|
|
: detail::igh::base_igh_spheroid<T, Parameters>(params, par)
|
|
{
|
|
detail::igh::setup_igh(params, par, this->m_proj_parm);
|
|
}
|
|
};
|
|
|
|
#ifndef DOXYGEN_NO_DETAIL
|
|
namespace detail
|
|
{
|
|
|
|
// Static projection
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_igh, igh_spheroid)
|
|
|
|
// Factory entry(s)
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(igh_entry, igh_spheroid)
|
|
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(igh_init)
|
|
{
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(igh, igh_entry)
|
|
}
|
|
|
|
} // namespace detail
|
|
#endif // doxygen
|
|
|
|
} // namespace projections
|
|
|
|
}} // namespace boost::geometry
|
|
|
|
#endif // BOOST_GEOMETRY_PROJECTIONS_IGH_HPP
|
|
|