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
|
; by Sylwester Arabas <slayoo (at) igf.fuw.edu.pl>
; tests: ATAN, LL_ARC_DISTANCE and values of !PI, !DPI, !DTOR, !RADEG
pro test_angles
; testing values of !PI, !DPI, !DTOR, !RADEG in full precision
if !PI ne atan(1.) * 4 then begin
message, '!PI != atan(1) * 4', /conti
;exit, status=1
endif
if !DPI ne atan(1d) * 4 then begin
message, '!DPI != atan(1) * 4', /conti
;exit, status=1
endif
if !DTOR ne !PI / 180. then begin
message, '!DTOR != !PI / 180.', /conti
;exit, status=1
endif
if !RADEG ne 180. / !PI then begin
message, '!RADEG != 180. / !PI', /conti
;exit, status=1
endif
types = [1, 2, 3, 4, 5, 6, 9, 12, 13, 14, 15]
; : B I L F D C D U U L U :
; : Y N O L O O C I L O L :
; : T T N O U M O N O N O :
; : E : G A B P M T N G N :
; : : : : T L L P : G 6 G :
; : : : : : E E L : : 4 6 :
; : : : : : : X E : : : 4 :
; : : : : : : : X : : : : : ... matrix ;)
; testing ATAN
seed = !PI
len = 10
rand_byte = byte(255 * randomu(seed, len))
rand_float = float(1e38 * (randomu(seed, len) - .5))
rand_complex = complex(float(1e38 * (randomu(seed, len) - .5)), float(1e38 * (randomu(seed, len) - .5)))
for t1 = 0, n_elements(types) - 1 do begin ; datatype of the first argument
for t2 = 0, n_elements(types) - 1 do begin ; datatype of the second argument
for d1 = 0, 3 do begin ; dimension of the first argument (0 - scalar)
for d2 = 0, 3 do begin ; dimension of the second argument (0 - scalar)
for ph = 0, 1 do begin ; PHASE keyword presence
; A. single-argument case
if d1 gt 0 then a1 = make_array(d1, ty=types[t1]) else a1 = (make_array(1, ty=types[t1]))[0]
a1 += rand_byte[fix(len * randomu(seed))]
if types[t1] gt 3 && types[t1] lt 12 then a1 /= rand_float[fix(len * randomu(seed))]
if types[t1] eq 6 || types[t1] eq 9 then a1 *= rand_complex[fix(len * randomu(seed))]
v = atan(a1, phase=ph)
s = size(v, /stru)
help, a1, out=o
e = string(10b) + 'in: ' + o + string(10b)
help, v, out=o
e += 'out: ' + o
; A.01 for real input atan() should return values between (-pi/2, pi/2)
if (types[t1] ne 6 && types[t1] ne 9) && $
total(v lt -!DPI/2 or v gt !DPI/2) gt 0 then begin
message, 'FAILED (A.01)' + e, /conti
;exit, status=1
endif
; A.02 for any input Z = tan(atan(Z)) (not for /PHASE)
if ~ph && total(abs(fix(a1, ty=s.type) - tan(v)) gt max([abs(a1/.5e3), .5e-3])) gt 0 $
then begin
message, 'FAILED (A.02)' + e, /conti
;exit, status=1
endif
; A.03 for complex input output should be complex (if PHASE not set)
if (~ph && types[t1] eq 6 && s.type ne 6) $
then begin
message, 'FAILED (A.03)' + e, /conti
;exit, status=1
endif $
; A.04 for complexdbl input output should be complexdbl (if PHASE not set)
else if (~ph && types[t1] eq 9 && s.type ne 9) $
then begin
message, 'FAILED (A.04)' + e, /conti
;exit, status=1
endif $
; A.05 for double input output should be double
else if (types[t1] eq 5 && s.type ne 5) then begin
message, 'FAILED (A.05)' + e, /conti
;exit, status=1
endif $
; A.06 for any other input output should be float
else if ((types[t1] ne 6 && types[t1] ne 9 && types[t1] ne 5) $
&& s.type ne 4) then begin
message, 'FAILED (A.06)' + e, /conti
;exit, status=1
endif
; A.07 for any input output has the same shape (arrays)
if (~array_equal(s.dimensions, (size(a1, /stru)).dimensions)) $
then begin
message, 'FAILED (A.07)' + e, /conti
;exit, status=1
endif
; A.08 if /PHASE is set and the argument is complex the output is float
if (ph && types[t1] eq 6 && s.type ne 4) then begin
message, 'FAILED (A.08)' + e, /conti
;exit, status=1
endif
; A.09 if /PHASE is set and the argument is complexdbl the output is double
if (ph && types[t1] eq 9 && s.type ne 5) then begin
message, 'FAILED (A.09)' + e, /conti
;exit, status=1
endif
; A.10 if /PHASE is present and the argument is complex[dbl], the result
; is equal atan(imaginary(Z), real_part(Z))
if (ph && (types[t1] eq 9 || types[t1] eq 6) && $
~array_equal(v, atan(imaginary(a1), real_part(a1)))) $
then begin
message, 'FAILED (A.10)' + e, /conti
;exit, status=1
endif
; B. two-argument case
if d2 gt 0 then a2 = make_array(d2, ty=types[t2]) else a2 = (make_array(1, ty=types[t2]))[0]
a2 += rand_byte[fix(len * randomu(seed))]
if types[t2] gt 3 && types[t2] lt 12 then a2 /= rand_float[fix(len * randomu(seed))]
if types[t2] eq 6 || types[t2] eq 9 then a2 *= rand_complex[fix(len * randomu(seed))]
v = atan(a1, a2, phase=ph)
s = size(v, /stru)
help, a1, out=o
e = string(10b) + 'in: ' + o + string(10b)
help, a2, out=o
e += ' ' + o + string(10b)
help, v, out=o
e += 'out: ' + o
; B.01 for real input atan() should return values between (-pi, pi)
if (types[t1] ne 6 && types[t1] ne 9 && types[t2] ne 6 && types[t2] ne 9) && $
total(v lt -!PI or v gt !PI) gt 0 then begin
message, 'FAILED (B.01)' + e, /conti
;exit, status=1
endif
; B.02 for complex input output should be complex (while the other != double)
if (((types[t2] eq 6 && types[t1] ne 5 && types[t1] ne 9) $
|| (types[t1] eq 6 && types[t2] ne 5 && types[t2] ne 9)) $
&& s.type ne 6) then begin
message, 'FAILED (B.02)' + e, /conti
;exit, status=1
endif $
; B.03 for complexdbl input output should be complexdbl
else if ((types[t2] eq 9 || types[t1] eq 9) && s.type ne 9) $
then begin
message, 'FAILED (B.03)' + e, /conti
;exit, status=1
endif $
; B.04 for double input output should be double
else if (((types[t2] eq 5 && types[t1] ne 9 && types[t1] ne 6) $
|| (types[t1] eq 5 && types[t2] ne 9 && types[t2] ne 6)) $
&& s.type ne 5) then begin
message, 'FAILED (B.04)' + e, /conti
;exit, status=1
endif $
; B.05 for any other input output should be float
else if ((types[t1] ne 9 && types[t2] ne 9 && types[t1] ne 5 && $
types[t2] ne 5 && types[t1] ne 6 && types[t2] ne 6) && s.type ne 4) $
then begin
message, 'FAILED (B.05)' + e, /conti
;exit, status=1
endif
; B.06 for two-array input output has the size of the smaller array
if (d1 gt 0 && d2 gt 0 && ~ array_equal(s.dimensions, (size(d1 lt d2 ? $
a1 : a2, /stru)).dimensions)) then begin
message, 'FAILED (B.06)' + e, /conti
;exit, status=1
endif
; B.07 for array/scalar input output has the size of the array
if (((d1 eq 0 && d2 gt 0) || (d1 gt 0 && d2 eq 0)) && $
~array_equal(s.dimensions, (size(d1 gt d2 ? a1 : a2, /stru)).dimensions)) $
then begin
message, 'FAILED (B.07)' + e, /conti
;exit, status=1
endif
; C. testing LL_ARC_DISTANCE
if d1 gt 1 && d2 lt 2 then begin
lr = ll_arc_distance(a1, a2, a2)
ld = ll_arc_distance(a1, a2, a2, /degrees)
; C.01 always expecting 2-element array
if n_elements(lr) ne 2 || n_elements(ld) ne 2 $
then begin
message, 'FAILED (C.01)', /conti
;exit, status=1
endif
; C.02 if any input param is dcomplex -> dcomplex
if (types[t1] eq 9 || types[t2] eq 9) && $
(size(lr, /ty) ne 9 || size(ld, /ty) ne 9) $
then begin
message, 'FAILED (C.02)', /conti
;exit, status=1
endif
; C.03 if any input param is complex -> complex
if ((types[t1] eq 6 && types[t2] ne 9) || (types[t2] eq 6 && types[t1] ne 9)) && $
(size(lr, /ty) ne 6 || size(ld, /ty) ne 6) $
then begin
message, 'FAILED (C.03)', /conti
;exit, status=1
endif
; C.04 if any input param is double -> double
if (types[t1] eq 5 || types[t2] eq 5) && $
total(imaginary(a1) ne 0 or imaginary(a2) ne 0) eq 0 && $
(size(lr, /ty) ne 5 || size(ld, /ty) ne 5) $
then begin
message, 'FAILED (C.04)', /conti
;exit, status=1
endif
; C.05 otherwise expecting float output
if (types[t1] ne 9 && types[t2] ne 9 && types[t1] ne 6 && types[t2] ne 6 $
&& types[t1] ne 5 && types[t2] ne 5) $
&& (size(ld, /ty) ne 4 || size(lr, /ty) ne 4) $
then begin
message, 'FAILED (C.05)', /conti
;exit, status=1
endif
; C.06 output lat should lay between (-pi, pi) if talking radians
if (real_part(lr[1]) lt -!PI || real_part(lr[1]) gt !PI) $
then begin
message, 'FAILED (C.06)', /conti
;exit, status=1
endif
; C.07 output lat should lay between (-180, 180) if talking degrees
if (real_part(ld[1]) lt -180 || real_part(ld[1]) gt 180) $
then begin
message, 'FAILED (C.07)'
;exit, status=1
endif
endif
endfor
endfor
endfor
endfor
endfor
message, 'PASSED', /continue
end
|
