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
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
|
################################################################################
#
# Horner polynomial evaluation demo data
#
################################################################################
#
# These are the polynomial coefficients used for transforming to and from
# the Danish legacy system s45b "System 45 Bornholm"
#
################################################################################
<s45b>
proj=pipeline
step init=./s45b.pol:s45b_tc32
# step init=./s45b.pol:tc32_utm32
step proj=utm inv ellps=intl zone=32
step proj=cart ellps=intl
step proj=helmert ellps=GRS80
x=-81.0703 y=-89.3603 z=-115.7526
rx=-484.88 ry=-24.36 rz=-413.21 s=-0.540645
step proj=cart inv ellps=GRS80
step proj=utm ellps=GRS80 zone=32
################################################################################
#
# S 4 5 B -> T C 3 2
#
################################################################################
<s45b_tc32>
proj=horner
ellps=intl
range=500000
fwd_origin=47022.563745,51779.260103
inv_origin=878354.943082,6125305.175366
deg=6
# static double C_ttb[]
# tc32_ed50 -> s45b
# m_lim_gen: 0.153 red = 0 OBS = 1074
# m = 1.51 cm my_loss = +3 y_enp = +8.4
# m = 1.53 cm mx_loss = +4 x_enp = +8.4
# mht C_ttb er
# fwd-inv ombyttet ifht original Poder/Engsager-kode
# For at opnå at to fwd transform fører fra s45b->tc32->utm32 (->ETRS89)
inv_v=
# Poly NORTH :: e-degree = 0 : n-degree = 6
5.1779004699e+04,
9.9508320295e-01,
-2.9453823207e-10,
1.9995084102e-14,
-1.4895751366e-18,
-9.9734812211e-23,
1.1194218845e-26,
# Poly NORTH :: e-degree = 1 : n-degree = 5
-8.4285679515e-02,
-7.9623049286e-09,
-3.7190046062e-14,
-2.3324127411e-18,
-1.1150449763e-22,
2.8703154270e-27,
# Poly NORTH :: e-degree = 2 : n-degree = 4
8.7160434140e-10,
-3.3634602927e-14,
-5.5718245313e-18,
6.2611750909e-23,
-2.1011243838e-26,
# Poly NORTH :: e-degree = 3 : n-degree = 3
1.0905463989e-14,
-4.3960034360e-18,
3.6121595001e-22,
-1.3493066011e-27,
# Poly NORTH :: e-degree = 4 : n-degree = 2
-1.3360171462e-18,
1.0780850646e-22,
4.5118286607e-26,
# Poly NORTH :: e-degree = 5 : n-degree = 1
-1.3718883973e-22,
1.6263920750e-26,
# Poly NORTH :: e-degree = 6 : n-degree = 0
-5.1004217526e-27
# tcy 6125305.175366
inv_u=
# Poly EAST :: n-degree = 0 : e-degree = 6
4.7022495967e+04,
-9.9508282498e-01,
3.2436283039e-09,
-2.6276394334e-15,
8.6318533291e-18,
-3.8327518550e-23,
-2.5704924282e-26,
# Poly EAST :: n-degree = 1 : e-degree = 5
-8.4285975934e-02,
5.7098765263e-10,
-6.0863955939e-14,
2.3608788740e-18,
6.8899581969e-24,
-1.1429511179e-26,
# Poly EAST :: n-degree = 2 : e-degree = 4
-4.6079778412e-09,
1.5072604543e-14,
5.4063862378e-18,
1.2591327827e-22,
7.9336388691e-27,
# Poly EAST :: n-degree = 3 : e-degree = 3
-2.9479268638e-14,
1.7090049434e-18,
2.8413337985e-22,
-3.3577391552e-27,
# Poly EAST :: n-degree = 4 : e-degree = 2
3.0434879273e-18,
-1.8081673510e-22,
-2.3651419850e-26,
# Poly EAST :: n-degree = 5 : e-degree = 1
9.2060044804e-23,
3.7807953325e-27,
# Poly EAST :: n-degree = 6 : e-degree = 0
-4.9415665221e-27
# tcx 878354.943082
# static double C_btt[]
# s45b -> tc32_ed50
# m_lim_gen: 0.154 red = 0 OBS = 1074
# m = 1.50 cm my_loss = +3 y_enp = +8.5
# m = 1.54 cm mx_loss = +4 x_enp = +8.3
fwd_v=
# Poly NORTH :: e-degree = 0 : n-degree = 6
6.1253054245e+06,
9.9778251908e-01,
-7.7346152025e-10,
-2.5359789369e-14,
1.5614918228e-18,
9.8091134295e-23,
-1.1092581145e-26,
# Poly NORTH :: e-degree = 1 : n-degree = 5
-8.4514352088e-02,
-7.9847579284e-09,
-2.6865560962e-14,
-2.0731372756e-18,
-1.3660341123e-22,
1.1244836340e-26,
# Poly NORTH :: e-degree = 2 : n-degree = 4
8.0551988135e-11,
3.6661500679e-14,
5.4247705403e-18,
8.4494604807e-23,
1.3334858516e-26,
# Poly NORTH :: e-degree = 3 : n-degree = 3
8.3889821184e-15,
-4.8124202237e-18,
2.9088188830e-22,
-2.0129874264e-26,
# Poly NORTH :: e-degree = 4 : n-degree = 2
2.4716463766e-18,
-2.1717177513e-22,
-3.2828537638e-26,
# Poly NORTH :: e-degree = 5 : n-degree = 1
-1.2080655753e-22,
2.5050435391e-26,
# Poly NORTH :: e-degree = 6 : n-degree = 0
1.1383483826e-27
# tcy 51779.260103,
fwd_u=
# Poly EAST :: n-degree = 0 : e-degree = 6
8.7835485387e+05,
-9.9778289691e-01,
3.2537215213e-09,
6.9217640616e-15,
8.6268883840e-18,
4.6748156909e-23,
-2.6492402009e-26,
# Poly EAST :: n-degree = 1 : e-degree = 5
-8.4514648771e-02,
1.4399520180e-09,
-6.0423329711e-14,
6.9816167332e-20,
6.7729233542e-23,
-5.3308251880e-27,
# Poly EAST :: n-degree = 2 : e-degree = 4
-4.5697800099e-09,
-1.5194038814e-14,
5.1112653016e-18,
-2.0307532869e-22,
1.0374125432e-26,
# Poly EAST :: n-degree = 3 : e-degree = 3
-2.8983003841e-14,
-1.6414425785e-18,
1.7874983379e-22,
1.5492164174e-26,
# Poly EAST :: n-degree = 4 : e-degree = 2
2.7919197366e-18,
1.9218613279e-22,
-2.1007264634e-26,
# Poly EAST :: n-degree = 5 : e-degree = 1
1.0032412389e-22,
-5.9007997846e-27,
# Poly EAST :: n-degree = 6 : e-degree = 0
-4.4410970979e-27
# tcx 47022.563745
################################################################################
#
# T C 3 2 -> U T M 3 2
#
################################################################################
<tc32_utm32>
proj=horner
ellps=intl
range=500000
fwd_origin=877605.269066,6125810.306769
inv_origin=877605.760036,6125811.281773
# tc32_ed50 -> utm32_ed50 : Bornholm
deg=4
# ttu_n and ttu_e are based on static double C_ttu_b[]
# m_lim_gen: 0.086 red = 0 OBS = 852
# m = 1.38 cm my_loss = +2 y_enp = +10.5
# m = 1.44 cm mx_loss = +2 x_enp = +10.4
# static double ttu_n[]
fwd_v=
# Poly NORTH :: e-degree = 0 : n-degree = 0..4
6.1258112678e+06,
9.9999971567e-01,
1.5372750011e-10,
5.9300860915e-15,
2.2609497633e-19,
# Poly NORTH :: e-degree = 1 : n-degree = 0..3
4.3188227445e-05,
2.8225130416e-10,
7.8740007114e-16,
-1.7453997279e-19,
# Poly NORTH :: e-degree = 2 : n-degree = 0..2
1.6877465415e-10,
-1.1234649773e-14,
-1.7042333358e-18,
# Poly NORTH :: e-degree = 3 : n-degree = 0..1
-7.9303467953e-15,
-5.2906832535e-19,
# Poly NORTH :: e-degree = 4 : n-degree = 0
3.9984284847e-19
# tcy 6125810.306769
# static double ttu_e[]
fwd_u=
# Poly EAST :: n-degree = 0 : e-degree = 0..4
8.7760574982e+05,
9.9999752475e-01,
2.8817299305e-10,
5.5641310680e-15,
-1.5544700949e-18,
# Poly EAST :: n-degree = 1 : e-degree = 3
-4.1357045890e-05,
4.2106213519e-11,
2.8525551629e-14,
-1.9107771273e-18,
# Poly EAST :: n-degree = 2 : e-degree = 2
3.3615590093e-10,
2.4380247154e-14,
-2.0241230315e-18,
# Poly EAST :: n-degree = 3 : e-degree = 1
1.2429019719e-15,
5.3886155968e-19,
# Poly EAST :: n-degree = 4 : e-degree = 0
-1.0167505000e-18
# tcx 877605.760036
# utt_n and utt_e are based on static double C_utt_b[]
# utm32_ed50 -> tc32_ed50 : Bornholm
# m_lim_gen: 0.086 red = 0 OBS = 852
# m = 1.38 cm my_loss = +2 y_enp = +10.8
# m = 1.44 cm mx_loss = +2 x_enp = +10.7
# static double utt_n[]
inv_v=
# Poly NORTH :: e-degree = 0 : n-degree = 4
6.1258103208e+06,
1.0000002826e+00,
-1.5372762184e-10,
-5.9304261011e-15,
-2.2612705361e-19,
# Poly NORTH :: e-degree = 1 : n-degree = 3
-4.3188331419e-05,
-2.8225549995e-10,
-7.8529116371e-16,
1.7476576773e-19,
# Poly NORTH :: e-degree = 2 : n-degree = 2
-1.6875687989e-10,
1.1236475299e-14,
1.7042518057e-18,
# Poly NORTH :: e-degree = 3 : n-degree = 1
7.9300735257e-15,
5.2881862699e-19,
# Poly NORTH :: e-degree = 4 : n-degree = 0
-3.9990736798e-19
# tcy 6125811.281773
# static double utt_e[]
inv_u=
# Poly EAST :: n-degree = 0 : e-degree = 0..4
8.7760527928e+05,
1.0000024735e+00,
-2.8817540032e-10,
-5.5627059451e-15,
1.5543637570e-18,
# Poly EAST :: n-degree = 1 : e-degree = 0..3
4.1357152105e-05,
-4.2114813612e-11,
-2.8523713454e-14,
1.9109017837e-18,
# Poly EAST :: n-degree = 2 : e-degree = 0..2
-3.3616407783e-10,
-2.4382678126e-14,
2.0245020199e-18,
# Poly EAST :: n-degree = 3 : e-degree = 0..1
-1.2441377565e-15,
-5.3885232238e-19,
# Poly EAST :: n-degree = 4 : e-degree = 0
1.0167203661e-18
# tcx 877605.760036
<>
|
