forked from JuliaLang/julia
-
Notifications
You must be signed in to change notification settings - Fork 0
/
offsetarray.jl
449 lines (414 loc) · 14 KB
/
offsetarray.jl
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
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
# This file is a part of Julia. License is MIT: https://julialang.org/license
isdefined(Main, :TestHelpers) || @eval Main include(joinpath(dirname(@__FILE__), "TestHelpers.jl"))
using Main.TestHelpers.OAs
using DelimitedFiles
const OAs_name = join(fullname(OAs), ".")
let
# Basics
v0 = rand(4)
v = OffsetArray(v0, (-3,))
h = OffsetArray([-1,1,-2,2,0], (-3,))
@test indices(v) == (-2:1,)
@test_throws ErrorException size(v)
@test_throws ErrorException size(v, 1)
A0 = [1 3; 2 4]
A = OffsetArray(A0, (-1,2)) # IndexLinear
S = OffsetArray(view(A0, 1:2, 1:2), (-1,2)) # IndexCartesian
@test indices(A) == indices(S) == (0:1, 3:4)
@test_throws ErrorException size(A)
@test_throws ErrorException size(A, 1)
# Scalar indexing
@test A[0,3] == A[1] == A[0,3,1] == S[0,3] == S[1] == S[0,3,1] == 1
@test A[1,3] == A[2] == A[1,3,1] == S[1,3] == S[2] == S[1,3,1] == 2
@test A[0,4] == A[3] == A[0,4,1] == S[0,4] == S[3] == S[0,4,1] == 3
@test A[1,4] == A[4] == A[1,4,1] == S[1,4] == S[4] == S[1,4,1] == 4
@test_throws BoundsError A[1,1]
@test_throws BoundsError S[1,1]
@test_throws BoundsError A[0,3,2]
@test_throws BoundsError S[0,3,2]
# partial indexing
S3 = OffsetArray(view(reshape(collect(1:4*3*1), 4, 3, 1), 1:3, 1:2, :), (-1,-2,1))
@test S3[1,-1] == 2
@test S3[1,0] == 6
@test_throws BoundsError S3[1,1]
@test_throws BoundsError S3[1,-2]
S4 = OffsetArray(view(reshape(collect(1:4*3*2), 4, 3, 2), 1:3, 1:2, :), (-1,-2,1))
@test S4[1,-1,2] == 2
@test S4[1,0,2] == 6
@test_throws BoundsError S4[1,1,2]
@test_throws BoundsError S4[1,-2,2]
# Vector indexing
@test A[:, 3] == S[:, 3] == OffsetArray([1,2], (A.offsets[1],))
@test A[:, 4] == S[:, 4] == OffsetArray([3,4], (A.offsets[1],))
@test_throws BoundsError A[:, 1]
@test_throws BoundsError S[:, 1]
@test A[0, :] == S[0, :] == OffsetArray([1,3], (A.offsets[2],))
@test A[1, :] == S[1, :] == OffsetArray([2,4], (A.offsets[2],))
@test_throws BoundsError A[2, :]
@test_throws BoundsError S[2, :]
@test A[0:1, 3] == S[0:1, 3] == [1,2]
@test A[[1,0], 3] == S[[1,0], 3] == [2,1]
@test A[0, 3:4] == S[0, 3:4] == [1,3]
@test A[1, [4,3]] == S[1, [4,3]] == [4,2]
@test A[:, :] == S[:, :] == A
A_3_3 = OffsetArray(Array{Int}(3,3), (-2,-1))
A_3_3[:, :] = reshape(1:9, 3, 3)
for i = 1:9 @test A_3_3[i] == i end
A_3_3[-1:1, 0:2] = reshape(1:9, 3, 3)
for i = 1:9 @test A_3_3[i] == i end
A_3_3[:, :] = 1:9
for i = 1:9 @test A_3_3[i] == i end
A_3_3[-1:1, 0:2] = 1:9
for i = 1:9 @test A_3_3[i] == i end
A_3_3[:] = 1:9
for i = 1:9 @test A_3_3[i] == i end
A_3_3[1:9] = 1:9
for i = 1:9 @test A_3_3[i] == i end
# CartesianIndexing
@test A[CartesianIndex((0,3))] == S[CartesianIndex((0,3))] == 1
@test_throws BoundsError A[CartesianIndex(1,1)]
@test_throws BoundsError S[CartesianIndex(1,1)]
@test eachindex(A) == 1:4
@test eachindex(S) == CartesianRange((0:1,3:4))
# logical indexing
@test A[A .> 2] == [3,4]
@test_throws BoundsError h[trues(2)]
@test_throws BoundsError h[trues(5)]
@test h[OffsetArray(trues(5), (-3,))] == parent(h)
@test h[OffsetArray([true,false,false,true,true], (-3,))] == parent(h)[[1,4,5]]
@test A[OffsetArray([true false; false true], A.offsets)] == [1,4]
@test A[OffsetArray([true true; false true], A.offsets)] == [1,3,4]
@test_throws BoundsError A[[true true; false true]]
# view
S = view(A, :, 3)
@test S == OffsetArray([1,2], (A.offsets[1],))
@test S[0] == 1
@test S[1] == 2
@test_throws BoundsError S[2]
@test indices(S) === (0:1,)
S = view(A, 0, :)
@test S == OffsetArray([1,3], (A.offsets[2],))
@test S[3] == 1
@test S[4] == 3
@test_throws BoundsError S[1]
@test indices(S) === (3:4,)
S = view(A, 0:0, 4)
@test S == [3]
@test S[1] == 3
@test_throws BoundsError S[0]
@test indices(S) === (Base.OneTo(1),)
S = view(A, 1, 3:4)
@test S == [2,4]
@test S[1] == 2
@test S[2] == 4
@test_throws BoundsError S[3]
@test indices(S) === (Base.OneTo(2),)
S = view(A, :, :)
@test S == A
@test S[0,3] == S[1] == 1
@test S[1,3] == S[2] == 2
@test S[0,4] == S[3] == 3
@test S[1,4] == S[4] == 4
@test_throws BoundsError S[1,1]
@test indices(S) === (0:1, 3:4)
# https://github.com/JuliaArrays/OffsetArrays.jl/issues/27
g = OffsetArray(collect(-2:3), (-3,))
gv = view(g, -1:2)
@test indices(gv, 1) === Base.OneTo(4)
@test collect(gv) == collect(-1:2)
gv = view(g, OffsetArray(-1:2, (-2,)))
@test indices(gv, 1) === -1:2
@test collect(gv) == collect(-1:2)
gv = view(g, OffsetArray(-1:2, (-1,)))
@test indices(gv, 1) === 0:3
@test collect(gv) == collect(-1:2)
# iteration
for (a,d) in zip(A, A0)
@test a == d
end
# show
io = IOBuffer()
show(io, v)
str = String(take!(io))
show(io, v0)
@test str == String(take!(io))
show(io, A)
str = String(take!(io))
@test str == "[1 3; 2 4]"
show(io, S)
str = String(take!(io))
@test str == "[1 3; 2 4]"
show(io, MIME("text/plain"), A)
strs = split(strip(String(take!(io))), '\n')
@test strs[2] == " 1 3"
@test strs[3] == " 2 4"
v = OffsetArray(rand(3), (-2,))
show(io, v)
str = String(take!(io))
show(io, parent(v))
@test str == String(take!(io))
smry = summary(v)
@test contains(smry, "OffsetArray{Float64,1")
@test contains(smry, "with indices -1:1")
function cmp_showf(printfunc, io, A)
ioc = IOContext(io, :limit => true, :compact => true)
printfunc(ioc, A)
str1 = String(take!(io))
printfunc(ioc, parent(A))
str2 = String(take!(io))
@test str1 == str2
end
cmp_showf(Base.print_matrix, io, OffsetArray(rand(5,5), (10,-9))) # rows&cols fit
cmp_showf(Base.print_matrix, io, OffsetArray(rand(10^3,5), (10,-9))) # columns fit
cmp_showf(Base.print_matrix, io, OffsetArray(rand(5,10^3), (10,-9))) # rows fit
cmp_showf(Base.print_matrix, io, OffsetArray(rand(10^3,10^3), (10,-9))) # neither fits
targets1 = ["0-dimensional $OAs_name.OffsetArray{Float64,0,Array{Float64,0}}:\n1.0",
"$OAs_name.OffsetArray{Float64,1,Array{Float64,1}} with indices 2:2:\n 1.0",
"$OAs_name.OffsetArray{Float64,2,Array{Float64,2}} with indices 2:2×3:3:\n 1.0",
"$OAs_name.OffsetArray{Float64,3,Array{Float64,3}} with indices 2:2×3:3×4:4:\n[:, :, 4] =\n 1.0",
"$OAs_name.OffsetArray{Float64,4,Array{Float64,4}} with indices 2:2×3:3×4:4×5:5:\n[:, :, 4, 5] =\n 1.0"]
targets2 = ["(1.0, 1.0)",
"([1.0], [1.0])",
"([1.0], [1.0])",
"([1.0], [1.0])",
"([1.0], [1.0])"]
for n = 0:4
a = OffsetArray(ones(Float64,ntuple(d->1,n)), ntuple(identity,n))
show(IOContext(io, :limit => true), MIME("text/plain"), a)
@test String(take!(io)) == targets1[n+1]
show(IOContext(io, :limit => true), MIME("text/plain"), (a,a))
@test String(take!(io)) == targets2[n+1]
end
P = OffsetArray(rand(8,8), (1,1))
PV = view(P, 2:3, :)
@test endswith(summary(PV), "with indices Base.OneTo(2)×2:9")
# Similar
B = similar(A, Float32)
@test isa(B, OffsetArray{Float32,2})
@test indices(B) === indices(A)
B = similar(A, (3,4))
@test isa(B, Array{Int,2})
@test size(B) == (3,4)
@test indices(B) === (Base.OneTo(3), Base.OneTo(4))
B = similar(A, (-3:3,1:4))
@test isa(B, OffsetArray{Int,2})
@test indices(B) === (-3:3, 1:4)
B = similar(parent(A), (-3:3,1:4))
@test isa(B, OffsetArray{Int,2})
@test indices(B) === (-3:3, 1:4)
# Indexing with OffsetArray indices
i1 = OffsetArray([2,1], (-5,))
i1 = OffsetArray([2,1], -5)
b = A0[i1, 1]
@test indices(b) === (-4:-3,)
@test b[-4] == 2
@test b[-3] == 1
b = A0[1,i1]
@test indices(b) === (-4:-3,)
@test b[-4] == 3
@test b[-3] == 1
v = view(A0, i1, 1)
@test indices(v) === (-4:-3,)
v = view(A0, 1:1, i1)
@test indices(v) === (Base.OneTo(1), -4:-3)
# copy! and fill!
a = OffsetArray{Int}((-3:-1,))
fill!(a, -1)
copy!(a, (1,2)) # non-array iterables
@test a[-3] == 1
@test a[-2] == 2
@test a[-1] == -1
fill!(a, -1)
copy!(a, -2, (1,2))
@test a[-3] == -1
@test a[-2] == 1
@test a[-1] == 2
@test_throws BoundsError copy!(a, 1, (1,2))
fill!(a, -1)
copy!(a, -2, (1,2,3), 2)
@test a[-3] == -1
@test a[-2] == 2
@test a[-1] == 3
@test_throws BoundsError copy!(a, -2, (1,2,3), 1)
fill!(a, -1)
copy!(a, -2, (1,2,3), 1, 2)
@test a[-3] == -1
@test a[-2] == 1
@test a[-1] == 2
b = 1:2 # copy between AbstractArrays
bo = OffsetArray(1:2, (-3,))
@test_throws BoundsError copy!(a, b)
fill!(a, -1)
copy!(a, bo)
@test a[-3] == -1
@test a[-2] == 1
@test a[-1] == 2
fill!(a, -1)
copy!(a, -2, bo)
@test a[-3] == -1
@test a[-2] == 1
@test a[-1] == 2
@test_throws BoundsError copy!(a, -4, bo)
@test_throws BoundsError copy!(a, -1, bo)
fill!(a, -1)
copy!(a, -3, b, 2)
@test a[-3] == 2
@test a[-2] == a[-1] == -1
@test_throws BoundsError copy!(a, -3, b, 1, 4)
am = OffsetArray{Int}((1:1, 7:9)) # for testing linear indexing
fill!(am, -1)
copy!(am, b)
@test am[1] == 1
@test am[2] == 2
@test am[3] == -1
@test am[1,7] == 1
@test am[1,8] == 2
@test am[1,9] == -1
# map
dest = similar(am)
map!(+, dest, am, am)
@test dest[1,7] == 2
@test dest[1,8] == 4
@test dest[1,9] == -2
am = map(identity, a)
@test isa(am, OffsetArray)
@test am == a
# squeeze
a0 = rand(1,1,8,8,1)
a = OffsetArray(a0, (-1,2,3,4,5))
@test @inferred(squeeze(a, 1)) == @inferred(squeeze(a, (1,))) == OffsetArray(reshape(a, (1,8,8,1)), (2,3,4,5))
@test @inferred(squeeze(a, 5)) == @inferred(squeeze(a, (5,))) == OffsetArray(reshape(a, (1,1,8,8)), (-1,2,3,4))
@test @inferred(squeeze(a, (1,5))) == squeeze(a, (5,1)) == OffsetArray(reshape(a, (1,8,8)), (2,3,4))
@test @inferred(squeeze(a, (1,2,5))) == squeeze(a, (5,2,1)) == OffsetArray(reshape(a, (8,8)), (3,4))
@test_throws ArgumentError squeeze(a, 0)
@test_throws ArgumentError squeeze(a, (1,1))
@test_throws ArgumentError squeeze(a, (1,2,1))
@test_throws ArgumentError squeeze(a, (1,1,2))
@test_throws ArgumentError squeeze(a, 3)
@test_throws ArgumentError squeeze(a, 4)
@test_throws ArgumentError squeeze(a, 6)
# other functions
v = OffsetArray(v0, (-3,))
@test endof(v) == 1
@test v ≈ v
@test indices(v') === (Base.OneTo(1),-2:1)
@test parent(v) == collect(v)
rv = reverse(v)
@test indices(rv) == indices(v)
@test rv[1] == v[-2]
@test rv[0] == v[-1]
@test rv[-1] == v[0]
@test rv[-2] == v[1]
cv = copy(v)
@test reverse!(cv) == rv
A = OffsetArray(rand(4,4), (-3,5))
@test A ≈ A
@test indices(A') === (6:9, -2:1)
@test parent(A') == parent(A)'
@test collect(A) == parent(A)
@test maximum(A) == maximum(parent(A))
@test minimum(A) == minimum(parent(A))
@test extrema(A) == extrema(parent(A))
@test maximum(A, 1) == OffsetArray(maximum(parent(A), 1), (0,A.offsets[2]))
@test maximum(A, 2) == OffsetArray(maximum(parent(A), 2), (A.offsets[1],0))
@test maximum(A, 1:2) == maximum(parent(A), 1:2)
C = similar(A)
cumsum!(C, A, 1)
@test parent(C) == cumsum(parent(A), 1)
@test parent(cumsum(A, 1)) == cumsum(parent(A), 1)
cumsum!(C, A, 2)
@test parent(C) == cumsum(parent(A), 2)
R = similar(A, (1:1, 6:9))
maximum!(R, A)
@test parent(R) == maximum(parent(A), 1)
R = similar(A, (-2:1, 1:1))
maximum!(R, A)
@test parent(R) == maximum(parent(A), 2)
amin, iamin = findmin(A)
pmin, ipmin = findmin(parent(A))
@test amin == pmin
@test A[iamin] == amin
@test amin == parent(A)[ipmin]
amax, iamax = findmax(A)
pmax, ipmax = findmax(parent(A))
@test amax == pmax
@test A[iamax] == amax
@test amax == parent(A)[ipmax]
z = OffsetArray([0 0; 2 0; 0 0; 0 0], (-3,-1))
I,J = findn(z)
@test I == [-1]
@test J == [0]
I,J,N = findnz(z)
@test I == [-1]
@test J == [0]
@test N == [2]
@test find(!iszero,h) == [-2:1;]
@test find(x->x>0, h) == [-1,1]
@test find(x->x<0, h) == [-2,0]
@test find(x->x==0, h) == [2]
@test mean(A_3_3) == median(A_3_3) == 5
@test mean(x->2x, A_3_3) == 10
@test mean(A_3_3, 1) == median(A_3_3, 1) == OffsetArray([2 5 8], (0,A_3_3.offsets[2]))
@test mean(A_3_3, 2) == median(A_3_3, 2) == OffsetArray(reshape([4,5,6],(3,1)), (A_3_3.offsets[1],0))
@test var(A_3_3) == 7.5
@test std(A_3_3, 1) == OffsetArray([1 1 1], (0,A_3_3.offsets[2]))
@test std(A_3_3, 2) == OffsetArray(reshape([3,3,3], (3,1)), (A_3_3.offsets[1],0))
@test sum(OffsetArray(ones(Int,3000), -1000)) == 3000
@test vecnorm(v) ≈ vecnorm(parent(v))
@test vecnorm(A) ≈ vecnorm(parent(A))
@test vecdot(v, v) ≈ vecdot(v0, v0)
v = OffsetArray([1,1e100,1,-1e100], (-3,))*1000
v2 = OffsetArray([1,-1e100,1,1e100], (5,))*1000
@test isa(v, OffsetArray)
cv = OffsetArray([1,1e100,1e100,2], (-3,))*1000
cv2 = OffsetArray([1,-1e100,-1e100,2], (5,))*1000
@test isequal(cumsum_kbn(v), cv)
@test isequal(cumsum_kbn(v2), cv2)
@test isequal(sum_kbn(v), sum_kbn(parent(v)))
io = IOBuffer()
writedlm(io, A)
seek(io, 0)
@test readdlm(io, eltype(A)) == parent(A)
amin, amax = extrema(parent(A))
@test clamp.(A, (amax+amin)/2, amax).parent == clamp.(parent(A), (amax+amin)/2, amax)
@test unique(A, 1) == parent(A)
@test unique(A, 2) == parent(A)
v = OffsetArray(rand(8), (-2,))
@test sort(v) == OffsetArray(sort(parent(v)), v.offsets)
@test sortrows(A) == OffsetArray(sortrows(parent(A)), A.offsets)
@test sortcols(A) == OffsetArray(sortcols(parent(A)), A.offsets)
@test sort(A, 1) == OffsetArray(sort(parent(A), 1), A.offsets)
@test sort(A, 2) == OffsetArray(sort(parent(A), 2), A.offsets)
@test mapslices(sort, A, 1) == OffsetArray(mapslices(sort, parent(A), 1), A.offsets)
@test mapslices(sort, A, 2) == OffsetArray(mapslices(sort, parent(A), 2), A.offsets)
@test rotl90(A) == OffsetArray(rotl90(parent(A)), A.offsets[[2,1]])
@test rotr90(A) == OffsetArray(rotr90(parent(A)), A.offsets[[2,1]])
@test flipdim(A, 1) == OffsetArray(flipdim(parent(A), 1), A.offsets)
@test flipdim(A, 2) == OffsetArray(flipdim(parent(A), 2), A.offsets)
@test A .+ 1 == OffsetArray(parent(A) .+ 1, A.offsets)
@test 2*A == OffsetArray(2*parent(A), A.offsets)
@test A+A == OffsetArray(parent(A)+parent(A), A.offsets)
@test A.*A == OffsetArray(parent(A).*parent(A), A.offsets)
@test circshift(A, (-1,2)) == OffsetArray(circshift(parent(A), (-1,2)), A.offsets)
src = reshape(collect(1:16), (4,4))
dest = OffsetArray(Array{Int}(4,4), (-1,1))
circcopy!(dest, src)
@test parent(dest) == [8 12 16 4; 5 9 13 1; 6 10 14 2; 7 11 15 3]
@test dest[1:3,2:4] == src[1:3,2:4]
end # let
# Check that similar throws a MethodError rather than a
# StackOverflowError if no appropriate method has been defined
# (#18107)
module SimilarUR
using Base.Test
struct MyURange <: AbstractUnitRange{Int}
start::Int
stop::Int
end
ur = MyURange(1,3)
a = Array{Int}(2)
@test_throws MethodError similar(a, ur)
@test_throws MethodError similar(a, Float64, ur)
@test_throws MethodError similar(a, Float64, (ur,))
@test_throws MethodError similar(a, (2.0,3.0))
end