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
|
test_that("we can compare vectors with equal units", {
x <- 1:4 * as_units("m")
y <- 1:4 * as_units("m")
z <- 2 * y
expect_true(all(x == y))
expect_true(all(x <= y))
expect_true(all(x >= y))
expect_true(all(x < z))
expect_true(all(x <= z))
expect_true(all(z > x))
expect_true(all(z >= x))
expect_false(any(x > y))
expect_false(any(x != y))
expect_true(all(x != z))
expect_error(x == set_units(1, "kg"))
})
test_that("comparing special values gives correct results", {
x <- c(-Inf, NaN, NA, Inf) * as_units("m")
expect_equal(x == x, drop_units(x) == drop_units(x))
expect_equal(x > x, drop_units(x) > drop_units(x))
expect_equal(x < x, drop_units(x) < drop_units(x))
expect_equal(x == rev(x), drop_units(x) == rev(drop_units(x)))
expect_equal(x > rev(x), drop_units(x) > rev(drop_units(x)))
expect_equal(x < rev(x), drop_units(x) < rev(drop_units(x)))
})
test_that("vectors are correctly recycled in comparisons", {
x <- 0:3 * as_units("m")
y <- 0:1 * as_units("m")
res <- drop_units(x) == drop_units(y)
expect_equal(x == y, res)
expect_equal(y == x, res)
y <- 0:2 * as_units("m")
expect_warning(res <- drop_units(x) == drop_units(y))
expect_warning(expect_equal(x == y, res))
expect_warning(expect_equal(y == x, res))
})
test_that("aliases are correctly handled in comparisons (#339)", {
expect_true(as_units("foot") == as_units("feet"))
expect_true(as_units("foot") == as_units("ft"))
})
test_that("we can scale units with scalars", {
x <- 1:4
ux <- x * as_units("m")
expect_equal(as.numeric(10 * ux), 10 * x)
expect_equal(as.numeric(ux / 10), x / 10)
})
test_that("we can multiply and divide units", {
x <- 1:4 ; y <- 5:8
m <- x * as_units("m")
s <- y * as_units("s")
expect_equal(as.numeric(m * s), x * y)
expect_equal(as.numeric(m / s), x / y)
# FIXME: There ought to be a test that the expressions get the right units
# but I am not entirely sure how that should be wrapped. Just checking string
# equality would give problems if units are equivalent but needs to be converted
# first...
})
test_that("we can take powers of units", {
x <- 1:4
ux <- x * as_units("m")
expect_equal(as.numeric(ux ** 2), x ** 2)
expect_equal(as.numeric(ux ^ 2), x ^ 2)
expect_equal(as.character(units(ux ** 2)), "m^2")
expect_equal(as.character(units(ux ^ 2)), "m^2")
expect_error(ux ^ 1.3)
expect_error(ux ^ 0.3)
expect_error(ux ^ ux)
# expect_error(ux ^ x) --> see below: gives mixed_units
expect_silent(ux ^ x)
expect_equal(as.numeric(ux ** -2), x ** -2)
expect_equal(as.numeric(ux ^ -2), x ^ -2)
expect_equal(as.character(units(ux ** -2)), "1/m^2")
expect_equal(as.character(units(ux ^ -2)), "1/m^2")
expect_equal(as.numeric(ux ** 0), x ** 0)
expect_equal(as.numeric(ux ^ 0), x ^ 0)
expect_identical(units(ux ** 0), units(as_units(1)))
expect_identical(units(ux ^ 0), units(as_units(1)))
})
test_that("we support unary +/-", {
expect_equal(-set_units(10, m), set_units(-10, m))
expect_equal(+set_units(10, m), set_units(10, m))
})
test_that("we can convert units and simplify after multiplication", {
x <- 1:4
y <- 1:4
z <- 1:4
m <- as_units("m")
s <- as_units("s")
km <- as_units("km")
ux <- x * m
uy <- y * s
uz <- z * km
expect_equal(as.numeric(ux/ux), x/x)
expect_equal(as.character(units(ux/ux)), units_options("unitless_symbol"))
expect_equal(as.numeric(ux*uy), x*y)
expect_equal(as.character(units(ux*uy)), "m*s")
expect_equal(as.numeric(ux*uz), x*z)
expect_equal(as.character(units(ux*uz)), "km*m")
expect_equal(as.numeric(set_units(ux*uz, km * km)), (x/1000)*z)
expect_equal(as.character(units(set_units(ux*uz, km * km))), "km^2")
expect_equal(as.numeric(ux/ux), x/x)
expect_equal(as.character(units(ux/ux)), units_options("unitless_symbol"))
expect_equal(as.numeric(ux/uy), x/y)
expect_equal(as.character(units(ux/uy)), "m/s")
expect_equal(as.numeric(ux/uz), x/(1000*z))
expect_equal(as.character(units(ux/uz)), units_options("unitless_symbol"))
expect_equal(as.numeric(ux/uy/uz), x/y/z/1000)
expect_equal(as.character(units(ux/uy/uz)), "1/s")
})
test_that("inverse units are not simplified", {
x <- 1:4
s <- as_units("s")
Hz <- as_units("Hz")
ux <- x * s
uy <- x * Hz
expect_equal(as.character(units(ux/uy)), "s/Hz")
expect_equal(as.character(units(uy/ux)), "Hz/s")
})
test_that("unit one is handled correctly", {
one <- set_units(1)
onem <- set_units(1, m)
expect_equal(one * one, one)
expect_equal(onem * one, onem)
expect_equal(one * one * one, one)
expect_equal(onem * one * one, onem)
expect_equal(one / one, one)
expect_equal(onem / one, onem)
expect_equal(one ^ 3, one)
# expect_equal(one ^ pi, one)
# expect_equal(one ^ -pi, one)
})
test_that("we can compute powers if the result is an integer", {
expect_equal(set_units(1:10, m^0), set_units(1:10))
expect_equal(as.numeric(set_units(1:10, m^2) ^ 0.5), (1:10) ^ .5)
expect_equal(as.numeric(set_units(1:10, m^2) ^ 3/2), (1:10) ^ 3/2)
expect_error(as.numeric(set_units(1:10, m^3) ^ 0.5), "powers not divisible")
expect_error(as.numeric(set_units(1:10, m^3) ^ 1.5))
expect_equal(as.numeric(set_units(1:10, m^-3) ^ (-1/3)), (1:10) ^ (-1/3))
expect_equal(as.numeric(set_units(1:10, m^-2) ^ (-1/2)), (1:10) ^ (-1/2))
expect_equal(as.numeric(set_units(1:10, m^-2) ^ (1/2)), (1:10) ^ (1/2))
expect_error(set_units(1:10, m^2) ^ (1/pi), "powers not divisible")
expect_error(set_units(1:10, m^3) ^ -1.5, "powers not divisible")
})
test_that("we can undo logatithms", {
x <- set_units(1:5, cm^2)
y <- set_units(1e6*x, dam^2)
expect_equal(exp(10^log10(log(x))), set_units(x, m^2))
expect_equal(exp(set_units(10)^log10(log(x))), set_units(x, m^2))
expect_equal(exp(10^log10(log(y))), set_units(y, m^2))
expect_equal(expm1(3^log(log1p(x), base=3)), set_units(x, m^2))
expect_equal(expm1(3^log(log1p(y), base=3)), set_units(y, m^2))
expect_error(exp(log10(x)), "wrong base in power operation")
expect_error(exp(x), "only allowed with logarithmic unit")
expect_error(exp(set_units(1, 1)), "only allowed with logarithmic unit")
})
test_that("%/% and %% work", {
x <- set_units(1:5, m^2)
y <- set_units(1.4, foot)
expect_true(all.equal(x, y * (x %/% y) + x %% y))
z <- set_units(drop_units(x) %% drop_units(set_units(y, m)), m^2)
expect_equal(x %% y, z)
expect_equal(x %% set_units(y, m), z)
expect_equal(x %% drop_units(set_units(y, m)), z)
expect_equal(x %% set_units(drop_units(set_units(y, m)), 1), z)
expect_equal(x %% set_units(drop_units(set_units(y, m)), 1), z)
expect_error(drop_units(x) %% set_units(y, m))
z <- set_units(drop_units(set_units(x, foot^2)) %% drop_units(y), foot^2)
expect_equal(set_units(x, foot^2) %% y, z)
expect_equal(set_units(x, foot^2) %% set_units(y, m), z)
expect_equal(set_units(x, foot^2) %% drop_units(y), z)
expect_equal(set_units(x, foot^2) %% set_units(drop_units(y), 1), z)
expect_error(drop_units(set_units(x, foot^2)) %% y)
expect_true(all(x %% y >= set_units(0, m^2)))
})
#test_that("%*% work", {
# mat = set_units(matrix(1:5, 1), m)
# expect_equal(mat %*% t(mat), set_units(matrix(55), m^2))
# expect_equal(t(mat) %*% mat, set_units(t(unclass(mat)) %*% unclass(mat), m^2))
#})
test_that("The order of multiplication for basic units is commutative", {
a <- set_units(1:4, m^-3)
b <- set_units(1:4, mm)
expect_equal(a * b, b * a)
expect_true(units(a * b) == units(b * a))
a <- set_units(1:4, m)
b <- set_units(1:4, mm)
expect_equal(a * b, b * a)
expect_true(units(a * b) == units(b * a))
})
test_that("Division gets the right scaling and units", {
a <- set_units(1:4, m^-3)
b <- set_units(1:4, mm)
expect_true(units(a / b) != units(b / a))
expect_equal(a / b, 1/(b / a))
})
test_that("we obtain mixed units when taking powers of multiple integers", {
a = set_units(1:4, m)
p = 4:1
expect_equal(a ^ p, c(set_units(1, m^4), set_units(8, m^3), set_units(9, m^2), set_units(4, m), allow_mixed=TRUE))
})
test_that("identical units can always be divided and return unitless (#310)", {
x1 <- log(set_units(100, "g"))
x2 <- log(set_units(4, "g"))
expect_equal(
x1/x2,
set_units(log(100)/log(4), "")
)
expect_equal(
x1 %/% x2,
set_units(log(100) %/% log(4), "")
)
})
test_that("inverse units can always be multiplied and return unitless (related to #310)", {
x1 <- log(set_units(100, "g"))
x2 <- log(set_units(4, "g"))
expect_equal(
x1*(1/x2),
set_units(log(100)/log(4), "")
)
})
test_that("identical unit multiplication and division respect 'simplify' option (#355)", {
initial_unit_simplify <- units_options("simplify")
on.exit(units_options(simplify=initial_unit_simplify))
gg <- structure(list(numerator="g", denominator="g"), class="symbolic_units")
x_gg <- set_units(1, gg, mode="standard")
x_ul <- set_units(1, unitless, mode="standard")
units_options(simplify = FALSE)
expect_equal(set_units(1, "g/g"), x_gg)
expect_equal(set_units(1, "g") / set_units(1, "g"), x_gg)
units_options(simplify = TRUE)
expect_equal(set_units(1, "g/g"), x_ul)
expect_equal(set_units(1, "g") / set_units(1, "g"), x_ul)
units_options(simplify = NA)
expect_equal(set_units(1, "g/g"), x_gg)
expect_equal(set_units(1, "g") / set_units(1, "g"), x_ul)
})
|
