1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
|
#define PJ_LIB__
#include <errno.h>
#include "proj.h"
#include "proj_internal.h"
#include "proj_math.h"
PROJ_HEAD(bonne, "Bonne (Werner lat_1=90)")
"\n\tConic Sph&Ell\n\tlat_1=";
#define EPS10 1e-10
namespace { // anonymous namespace
struct pj_opaque {
double phi1;
double cphi1;
double am1;
double m1;
double *en;
};
} // anonymous namespace
static PJ_XY bonne_e_forward (PJ_LP lp, PJ *P) { /* Ellipsoidal, forward */
PJ_XY xy = {0.0,0.0};
struct pj_opaque *Q = static_cast<struct pj_opaque*>(P->opaque);
double rh, E, c;
rh = Q->am1 + Q->m1 - pj_mlfn(lp.phi, E = sin(lp.phi), c = cos(lp.phi), Q->en);
if (fabs(rh) > EPS10) {
E = c * lp.lam / (rh * sqrt(1. - P->es * E * E));
xy.x = rh * sin(E);
xy.y = Q->am1 - rh * cos(E);
} else {
xy.x = 0.;
xy.y = 0.;
}
return xy;
}
static PJ_XY bonne_s_forward (PJ_LP lp, PJ *P) { /* Spheroidal, forward */
PJ_XY xy = {0.0,0.0};
struct pj_opaque *Q = static_cast<struct pj_opaque*>(P->opaque);
double E, rh;
rh = Q->cphi1 + Q->phi1 - lp.phi;
if (fabs(rh) > EPS10) {
xy.x = rh * sin(E = lp.lam * cos(lp.phi) / rh);
xy.y = Q->cphi1 - rh * cos(E);
} else
xy.x = xy.y = 0.;
return xy;
}
static PJ_LP bonne_s_inverse (PJ_XY xy, PJ *P) { /* Spheroidal, inverse */
PJ_LP lp = {0.0,0.0};
struct pj_opaque *Q = static_cast<struct pj_opaque*>(P->opaque);
double rh;
rh = hypot(xy.x, xy.y = Q->cphi1 - xy.y);
lp.phi = Q->cphi1 + Q->phi1 - rh;
if (fabs(lp.phi) > M_HALFPI) {
proj_errno_set(P, PJD_ERR_TOLERANCE_CONDITION);
return lp;
}
if (fabs(fabs(lp.phi) - M_HALFPI) <= EPS10)
lp.lam = 0.;
else
lp.lam = rh * atan2(xy.x, xy.y) / cos(lp.phi);
return lp;
}
static PJ_LP bonne_e_inverse (PJ_XY xy, PJ *P) { /* Ellipsoidal, inverse */
PJ_LP lp = {0.0,0.0};
struct pj_opaque *Q = static_cast<struct pj_opaque*>(P->opaque);
double s, rh;
rh = hypot(xy.x, xy.y = Q->am1 - xy.y);
lp.phi = pj_inv_mlfn(P->ctx, Q->am1 + Q->m1 - rh, P->es, Q->en);
if ((s = fabs(lp.phi)) < M_HALFPI) {
s = sin(lp.phi);
lp.lam = rh * atan2(xy.x, xy.y) *
sqrt(1. - P->es * s * s) / cos(lp.phi);
} else if (fabs(s - M_HALFPI) <= EPS10)
lp.lam = 0.;
else {
proj_errno_set(P, PJD_ERR_TOLERANCE_CONDITION);
return lp;
}
return lp;
}
static PJ *destructor (PJ *P, int errlev) { /* Destructor */
if (nullptr==P)
return nullptr;
if (nullptr==P->opaque)
return pj_default_destructor (P, errlev);
pj_dealloc (static_cast<struct pj_opaque*>(P->opaque)->en);
return pj_default_destructor (P, errlev);
}
PJ *PROJECTION(bonne) {
double c;
struct pj_opaque *Q = static_cast<struct pj_opaque*>(pj_calloc (1, sizeof (struct pj_opaque)));
if (nullptr==Q)
return pj_default_destructor (P, ENOMEM);
P->opaque = Q;
P->destructor = destructor;
Q->phi1 = pj_param(P->ctx, P->params, "rlat_1").f;
if (fabs(Q->phi1) < EPS10)
return destructor (P, PJD_ERR_LAT1_IS_ZERO);
if (P->es != 0.0) {
Q->en = pj_enfn(P->es);
if (nullptr==Q->en)
return destructor(P, ENOMEM);
Q->m1 = pj_mlfn(Q->phi1, Q->am1 = sin(Q->phi1),
c = cos(Q->phi1), Q->en);
Q->am1 = c / (sqrt(1. - P->es * Q->am1 * Q->am1) * Q->am1);
P->inv = bonne_e_inverse;
P->fwd = bonne_e_forward;
} else {
if (fabs(Q->phi1) + EPS10 >= M_HALFPI)
Q->cphi1 = 0.;
else
Q->cphi1 = 1. / tan(Q->phi1);
P->inv = bonne_s_inverse;
P->fwd = bonne_s_forward;
}
return P;
}
|
