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
|
program testtrangrid
implicit none
include 'SAE_PAR'
include 'AST_PAR'
include 'PRM_PAR'
integer status, i, m, outp(4), inp(4), c1, c2, c3, c4, fc, fs
double precision at(4), r, mat(4), b1(2), b2(2), a1(2),
: a2(4)
character cards(9)*80
status = sai__ok
at(1) = 10.0D0
at(2) = 1.2D6
* UnitMap
m = ast_unitmap( 2, ' ', status )
call testmap( m, 1, 0.5D0, status )
* ZoomMap
m = ast_zoommap( 2, 2.0D0, ' ', status )
call testmap( m, 2, 0.5D0, status )
* MatrixMap
m = ast_matrixmap( 2, 2, 2, mat, ' ', status )
call testmap( m, 3, 0.5D0, status )
* PermMap
outp(1)=2
outp(2)=1
inp(1)=2
inp(2)=1
m = ast_permmap( 2, inp, 2, outp, 0.0D0, ' ', status )
call testmap( m, 4, 0.5D0, status )
* TranMap
a1( 1 ) = 0.0D0
a1( 2 ) = 0.0D0
a2( 1 ) = 1.0D0
a2( 2 ) = 1.0D0
b1( 1 ) = 0.5D0
b1( 2 ) = 0.5D0
b2( 1 ) = 2.5D0
b2( 2 ) = 2.5D0
c1 = ast_winmap( 2, a1, a2, b1, b2, ' ', status )
c2 = ast_copy( c1, status )
m = ast_tranmap( c1, c2, ' ', status )
call testmap( m, 5, 0.5D0, status )
* 3D CmpMap
mat(1) = -1.0D0
c1 = ast_shiftmap( 1, mat, ' ', status )
mat(1)= 1.0D0
mat(2)= 2.0D0
mat(3)= -2.0D0
mat(4)= 3.0D0
c2 = ast_matrixmap( 2, 2, 0, mat, ' ', status )
c3 = ast_cmpmap( c1, c2, 0, ' ', status )
outp(1) = 3
outp(2) = 2
outp(3) = 1
inp(1) = 3
inp(2) = 2
inp(3) = 1
c1 = ast_permmap( 3, inp, 3, outp, 0.0D0, ' ', status )
c2 = ast_ZoomMap( 3, 0.25D0, ' ', status )
call ast_invert( c2, status )
c4 = ast_cmpmap( c1, c2, 1, ' ', status )
call ast_invert( c4, status )
m = ast_cmpmap( c3, c4, 1, ' ', status )
call testmap( m, 6, 0.5D0, status )
* 1D non-linear Mapping
m = ast_mathmap( 1, 1, 1, 'y=x**3', 1,
: 'x=sign((abs(y)**(1/3)),y)', ' ', status )
call testmap( m, 7, 0.0001D0, status )
* A FITS-WCS pixel->sky mapping
cards(1) = 'CTYPE1 = ''RA---TAN'''
cards(2) = 'CTYPE2 = ''DEC--TAN'''
cards(3) = 'CRPIX1 = 20'
cards(4) = 'CRPIX2 = 20'
cards(5) = 'CRVAL1 = 0.0'
cards(6) = 'CRVAL2 = 0.0'
cards(7) = 'CROTA1 = 30.0'
cards(8) = 'CDELT1 = -0.001'
cards(9) = 'CDELT2 = 0.001'
fc = ast_fitschan( ast_null, ast_null, ' ', status )
do i = 1, 9
call ast_putfits( fc, cards(i), .false., status )
end do
call ast_clear( fc, 'card', status )
fs = ast_read( fc, status )
call testmap( fs, 8, 0.0001D0, status )
if( status .eq. sai__ok ) then
write(*,*) 'All AST_TRANGRID tests passed'
else
write(*,*) 'AST_TRANGRID tests failed'
end if
end
subroutine testmap( map, itest, tol, status )
implicit none
include 'SAE_PAR'
integer status, maxpix, itest, map
double precision tol
if( status .ne. sai__ok ) return
maxpix = 100
call testgridpair( map, tol, maxpix, itest*10, status )
call testgridpair( map, 0.0D0, maxpix, itest*10+2, status )
maxpix = 4
call testgridpair( map, tol, maxpix, itest*10+4, status )
call testgridpair( map, 0.0D0, maxpix, itest*10+6, status )
end
subroutine testgridpair( map, tol, maxpix, itest, status )
implicit none
include 'SAE_PAR'
include 'AST_PAR'
integer status, lbnd( 3 ), ubnd( 3 ), nin, nout, i, outdim,
: maxpix, itest, size, pos(3), j, map, lbndi(3), ubndi(3)
logical fwd
double precision tol, xl(3), xu(3), dlbndi(3), dubndi(3),
: dlbnd(3), dubnd(3)
data lbnd / -6, 0, 10 /
data ubnd / 15, 30, 40/
if( status .ne. sai__ok ) return
nin = ast_geti( map, 'nin', status )
nout = ast_geti( map, 'nout', status )
outdim = 1
do i = 1, nin
outdim = outdim*( ubnd( i ) - lbnd( i ) + 1 )
dlbnd( i ) = lbnd( i )
dubnd( i ) = ubnd( i )
end do
call testgrid( map, nin, lbnd, ubnd, tol, maxpix, .true., nout,
: outdim, itest, status )
outdim = 1
do i = 1, nout
call ast_mapbox( map, dlbnd, dubnd, .true., i, dlbndi(i),
: dubndi(i), xl, xu, status )
lbndi( i ) = dlbndi( i )
ubndi( i ) = dubndi( i )
outdim = outdim*( ubndi( i ) - lbndi( i ) + 1 )
end do
call testgrid( map, nout, lbndi, ubndi, tol, maxpix, .false., nin,
: outdim, itest + 1, status )
end
subroutine testgrid( map, nin, lbnd, ubnd, tol, maxpix, fwd, nout,
: outdim, itest, status )
implicit none
include 'SAE_PAR'
integer MAXPNT
parameter( MAXPNT = 50000 )
integer status, lbnd( 3 ), ubnd( 3 ), nin, nout, i, outdim,
: maxpix, itest, pos(3), j, map
logical fwd
double precision tol, out( MAXPNT, 3 ), in( MAXPNT, 3 )
if( status .ne. sai__ok ) return
* Check arrays are not over full
if( outdim .gt. MAXPNT ) then
status = sai__error
write(*,*) 'Array length exceeded in TESTTRANGRID:TESTGRID'
return
end if
* Create a regular grid of positions within the input space of the
* Mapping, and transform it to the output space of the Mapping.
call ast_trangrid( map, nin, lbnd, ubnd, tol, maxpix, fwd,
: nout, MAXPNT, out, status )
* Convert the transformed output positions back into the input space.
call ast_trann( map, outdim, nout, MAXPNT, out, .not. fwd, nin,
: MAXPNT, in, status )
* Check the input space positions are close to a regular grid.
if( status .eq. sai__ok ) then
do i = 1, nin
pos( i ) = lbnd( i )
end do
do j = 1, outdim
do i = 1, nin
if( pos( i ) .ne. 0 ) then
if( abs( in( j, i ) - pos( i ) ) .gt.
: 1.0E-6*abs( 0.5*( in( j, i ) + pos( i ) ) ) ) then
status = sai__error
write(*,*) 'Test ',itest,' failed at point ',j,
: ' axis ',i,': ',in( j, i ),
: ' should be ',pos(1)
return
end if
else
if( abs( in( j, i ) ) .gt. 1.0E-5 ) then
status = sai__error
write(*,*) 'Test ',itest,' failed at point ',j,
: ' axis ',i,': ',in( j, i ),
: ' should be ', pos(i)
return
end if
end if
end do
pos( 1 ) = pos( 1 ) + 1
if( pos( 1 ) .gt. ubnd( 1 ) ) then
pos( 1 ) = lbnd( 1 )
if( nin .gt. 1 ) then
pos( 2 ) = pos( 2 ) + 1
if( pos( 2 ) .gt. ubnd( 2 ) ) then
pos( 2 ) = lbnd( 2 )
if( nin .gt. 2 ) then
pos( 3 ) = pos( 3 ) + 1
end if
end if
end if
end if
end do
end if
end
|