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# This file is part of Patsy
# Copyright (C) 2012-2013 Nathaniel Smith <njs@pobox.com>
# See file LICENSE.txt for license information.
# There are a number of unit tests in build.py, but this file contains more
# thorough tests of the overall design matrix building system. (These are
# still not exhaustive end-to-end tests, though -- for that see
# test_highlevel.py.)
from
__future__
import
print_function
import
six
import
numpy
as
np
import
pytest
from
patsy
import
PatsyError
from
patsy
.
util
import
(
atleast_2d_column_default
,
have_pandas
,
have_pandas_categorical
)
from
patsy
.
desc
import
Term
,
INTERCEPT
from
patsy
.
build
import
*
from
patsy
.
categorical
import
C
from
patsy
.
user_util
import
balanced
,
LookupFactor
from
patsy
.
design_info
import
DesignMatrix
,
DesignInfo
if
have_pandas
:
import
pandas
def
assert_full_rank
(
m
):
m
=
atleast_2d_column_default
(
m
)
if
m
.
shape
[
1
]
==
0
:
return
True
u
,
s
,
v
=
np
.
linalg
.
svd
(
m
)
rank
=
np
.
sum
(
s
>
1e-10
)
assert
rank
==
m
.
shape
[
1
]
def
test_assert_full_rank
():
assert_full_rank
(
np
.
eye
(
10
))
assert_full_rank
([[
1
,
0
], [
1
,
0
], [
1
,
0
], [
1
,
1
]])
pytest
.
raises
(
AssertionError
,
assert_full_rank
, [[
1
,
0
], [
2
,
0
]])
pytest
.
raises
(
AssertionError
,
assert_full_rank
, [[
1
,
2
], [
2
,
4
]])
pytest
.
raises
(
AssertionError
,
assert_full_rank
, [[
1
,
2
,
3
], [
1
,
10
,
100
]])
# col1 + col2 = col3
pytest
.
raises
(
AssertionError
,
assert_full_rank
, [[
1
,
2
,
3
], [
1
,
5
,
6
], [
1
,
6
,
7
]])
def
make_termlist
(
*
entries
):
terms
=
[]
for
entry
in
entries
:
terms
.
append
(
Term
([
LookupFactor
(
name
)
for
name
in
entry
]))
return
terms
def
check_design_matrix
(
mm
,
expected_rank
,
termlist
,
column_names
=
None
):
assert_full_rank
(
mm
)
assert
set
(
mm
.
design_info
.
terms
)
==
set
(
termlist
)
if
column_names
is
not
None
:
assert
mm
.
design_info
.
column_names
==
column_names
assert
mm
.
ndim
==
2
assert
mm
.
shape
[
1
]
==
expected_rank
def
make_matrix
(
data
,
expected_rank
,
entries
,
column_names
=
None
):
termlist
=
make_termlist
(
*
entries
)
def
iter_maker
():
yield
data
design_infos
=
design_matrix_builders
([
termlist
],
iter_maker
,
eval_env
=
0
)
matrices
=
build_design_matrices
(
design_infos
,
data
)
matrix
=
matrices
[
0
]
assert
(
design_infos
[
0
].
term_slices
==
matrix
.
design_info
.
term_slices
)
assert
(
design_infos
[
0
].
column_names
==
matrix
.
design_info
.
column_names
)
assert
matrix
.
design_info
is
design_infos
[
0
]
check_design_matrix
(
matrix
,
expected_rank
,
termlist
,
column_names
=
column_names
)
return
matrix
def
test_simple
():
data
=
balanced
(
a
=
2
,
b
=
2
)
x1
=
data
[
"x1"
]
=
np
.
linspace
(
0
,
1
,
len
(
data
[
"a"
]))
x2
=
data
[
"x2"
]
=
data
[
"x1"
]
**
2
m
=
make_matrix
(
data
,
2
, [[
"a"
]],
column_names
=
[
"a[a1]"
,
"a[a2]"
])
assert
np
.
allclose
(
m
, [[
1
,
0
], [
1
,
0
], [
0
,
1
], [
0
,
1
]])
m
=
make_matrix
(
data
,
2
, [[], [
"a"
]],
column_names
=
[
"Intercept"
,
"a[T.a2]"
])
assert
np
.
allclose
(
m
, [[
1
,
0
], [
1
,
0
], [
1
,
1
], [
1
,
1
]])
m
=
make_matrix
(
data
,
4
, [[
"a"
,
"b"
]],
column_names
=
[
"a[a1]:b[b1]"
,
"a[a2]:b[b1]"
,
"a[a1]:b[b2]"
,
"a[a2]:b[b2]"
])
assert
np
.
allclose
(
m
, [[
1
,
0
,
0
,
0
],
[
0
,
0
,
1
,
0
],
[
0
,
1
,
0
,
0
],
[
0
,
0
,
0
,
1
]])
m
=
make_matrix
(
data
,
4
, [[], [
"a"
], [
"b"
], [
"a"
,
"b"
]],
column_names
=
[
"Intercept"
,
"a[T.a2]"
,
"b[T.b2]"
,
"a[T.a2]:b[T.b2]"
])
assert
np
.
allclose
(
m
, [[
1
,
0
,
0
,
0
],
[
1
,
0
,
1
,
0
],
[
1
,
1
,
0
,
0
],
[
1
,
1
,
1
,
1
]])
m
=
make_matrix
(
data
,
4
, [[], [
"b"
], [
"a"
], [
"b"
,
"a"
]],
column_names
=
[
"Intercept"
,
"b[T.b2]"
,
"a[T.a2]"
,
"b[T.b2]:a[T.a2]"
])
assert
np
.
allclose
(
m
, [[
1
,
0
,
0
,
0
],
[
1
,
1
,
0
,
0
],
[
1
,
0
,
1
,
0
],
[
1
,
1
,
1
,
1
]])
m
=
make_matrix
(
data
,
4
, [[
"a"
], [
"x1"
], [
"a"
,
"x1"
]],
column_names
=
[
"a[a1]"
,
"a[a2]"
,
"x1"
,
"a[T.a2]:x1"
])
assert
np
.
allclose
(
m
, [[
1
,
0
,
x1
[
0
],
0
],
[
1
,
0
,
x1
[
1
],
0
],
[
0
,
1
,
x1
[
2
],
x1
[
2
]],
[
0
,
1
,
x1
[
3
],
x1
[
3
]]])
m
=
make_matrix
(
data
,
3
, [[
"x1"
], [
"x2"
], [
"x2"
,
"x1"
]],
column_names
=
[
"x1"
,
"x2"
,
"x2:x1"
])
assert
np
.
allclose
(
m
,
np
.
column_stack
((
x1
,
x2
,
x1
*
x2
)))
def
test_R_bugs
():
data
=
balanced
(
a
=
2
,
b
=
2
,
c
=
2
)
data
[
"x"
]
=
np
.
linspace
(
0
,
1
,
len
(
data
[
"a"
]))
# For "1 + a:b", R produces a design matrix with too many columns (5
# instead of 4), because it can't tell that there is a redundancy between
# the two terms.
make_matrix
(
data
,
4
, [[], [
"a"
,
"b"
]])
# For "0 + a:x + a:b", R produces a design matrix with too few columns (4
# instead of 6), because it thinks that there is a redundancy which
# doesn't exist.
make_matrix
(
data
,
6
, [[
"a"
,
"x"
], [
"a"
,
"b"
]])
# This can be compared with "0 + a:c + a:b", where the redundancy does
# exist. Confusingly, adding another categorical factor increases the
# baseline dimensionality to 8, and then the redundancy reduces it to 6
# again, so the result is the same as before but for different reasons. (R
# does get this one right, but we might as well test it.)
make_matrix
(
data
,
6
, [[
"a"
,
"c"
], [
"a"
,
"b"
]])
def
test_redundancy_thoroughly
():
# To make sure there aren't any lurking bugs analogous to the ones that R
# has (see above), we check that we get the correct matrix rank for every
# possible combination of 2 categorical and 2 numerical factors.
data
=
balanced
(
a
=
2
,
b
=
2
,
repeat
=
5
)
data
[
"x1"
]
=
np
.
linspace
(
0
,
1
,
len
(
data
[
"a"
]))
data
[
"x2"
]
=
data
[
"x1"
]
**
2
def
all_subsets
(
l
):
if
not
l
:
yield
tuple
()
else
:
obj
=
l
[
0
]
for
subset
in
all_subsets
(
l
[
1
:]):
yield
tuple
(
sorted
(
subset
))
yield
tuple
(
sorted
((
obj
,)
+
subset
))
all_terms
=
list
(
all_subsets
((
"a"
,
"b"
,
"x1"
,
"x2"
)))
all_termlist_templates
=
list
(
all_subsets
(
all_terms
))
print
(
len
(
all_termlist_templates
))
# eliminate some of the symmetric versions to speed things up
redundant
=
[[(
"b"
,), (
"a"
,)],
[(
"x2"
,), (
"x1"
,)],
[(
"b"
,
"x2"
), (
"a"
,
"x1"
)],
[(
"a"
,
"b"
,
"x2"
), (
"a"
,
"b"
,
"x1"
)],
[(
"b"
,
"x1"
,
"x2"
), (
"a"
,
"x1"
,
"x2"
)]]
count
=
0
import
time
start
=
time
.
time
()
for
termlist_template
in
all_termlist_templates
:
termlist_set
=
set
(
termlist_template
)
for
dispreferred
,
preferred
in
redundant
:
if
dispreferred
in
termlist_set
and
preferred
not
in
termlist_set
:
break
else
:
expanded_terms
=
set
()
for
term_template
in
termlist_template
:
numeric
=
tuple
([
t
for
t
in
term_template
if
t
.
startswith
(
"x"
)])
rest
=
[
t
for
t
in
term_template
if
not
t
.
startswith
(
"x"
)]
for
subset_rest
in
all_subsets
(
rest
):
expanded_terms
.
add
(
frozenset
(
subset_rest
+
numeric
))
# Because our categorical variables have 2 levels, each expanded
# term corresponds to 1 unique dimension of variation
expected_rank
=
len
(
expanded_terms
)
if
termlist_template
in
[(), ((),)]:
# No data dependence, should fail
pytest
.
raises
(
PatsyError
,
make_matrix
,
data
,
expected_rank
,
termlist_template
)
else
:
make_matrix
(
data
,
expected_rank
,
termlist_template
)
count
+=
1
if
count
%
100
==
0
:
print
(
"Completed:"
,
count
)
print
(
"Took %0.2f seconds"
%
(
time
.
time
()
-
start
,))
test_redundancy_thoroughly
.
slow
=
1
def
test_data_types
():
basic_dict
=
{
"a"
: [
"a1"
,
"a2"
,
"a1"
,
"a2"
],
"x"
: [
1
,
2
,
3
,
4
]}
# On Python 2, this is identical to basic_dict:
basic_dict_bytes
=
dict
(
basic_dict
)
basic_dict_bytes
[
"a"
]
=
[
s
.
encode
(
"ascii"
)
for
s
in
basic_dict_bytes
[
"a"
]]
# On Python 3, this is identical to basic_dict:
basic_dict_unicode
=
{
"a"
: [
"a1"
,
"a2"
,
"a1"
,
"a2"
],
"x"
: [
1
,
2
,
3
,
4
]}
basic_dict_unicode
=
dict
(
basic_dict
)
basic_dict_unicode
[
"a"
]
=
[
six
.
text_type
(
s
)
for
s
in
basic_dict_unicode
[
"a"
]]
structured_array_bytes
=
np
.
array
(
list
(
zip
(
basic_dict
[
"a"
],
basic_dict
[
"x"
])),
dtype
=
[(
"a"
,
"S2"
), (
"x"
,
int
)])
structured_array_unicode
=
np
.
array
(
list
(
zip
(
basic_dict
[
"a"
],
basic_dict
[
"x"
])),
dtype
=
[(
"a"
,
"U2"
), (
"x"
,
int
)])
recarray_bytes
=
structured_array_bytes
.
view
(
np
.
recarray
)
recarray_unicode
=
structured_array_unicode
.
view
(
np
.
recarray
)
datas
=
[
basic_dict
,
structured_array_bytes
,
structured_array_unicode
,
recarray_bytes
,
recarray_unicode
]
if
have_pandas
:
df_bytes
=
pandas
.
DataFrame
(
basic_dict_bytes
)
datas
.
append
(
df_bytes
)
df_unicode
=
pandas
.
DataFrame
(
basic_dict_unicode
)
datas
.
append
(
df_unicode
)
for
data
in
datas
:
m
=
make_matrix
(
data
,
4
, [[
"a"
], [
"a"
,
"x"
]],
column_names
=
[
"a[a1]"
,
"a[a2]"
,
"a[a1]:x"
,
"a[a2]:x"
])
assert
np
.
allclose
(
m
, [[
1
,
0
,
1
,
0
],
[
0
,
1
,
0
,
2
],
[
1
,
0
,
3
,
0
],
[
0
,
1
,
0
,
4
]])
def
test_build_design_matrices_dtype
():
data
=
{
"x"
: [
1
,
2
,
3
]}
def
iter_maker
():
yield
data
builder
=
design_matrix_builders
([
make_termlist
(
"x"
)],
iter_maker
,
0
)[
0
]
mat
=
build_design_matrices
([
builder
],
data
)[
0
]
assert
mat
.
dtype
==
np
.
dtype
(
np
.
float64
)
mat
=
build_design_matrices
([
builder
],
data
,
dtype
=
np
.
float32
)[
0
]
assert
mat
.
dtype
==
np
.
dtype
(
np
.
float32
)
if
hasattr
(
np
,
"float128"
):
mat
=
build_design_matrices
([
builder
],
data
,
dtype
=
np
.
float128
)[
0
]
assert
mat
.
dtype
==
np
.
dtype
(
np
.
float128
)
def
test_return_type
():
data
=
{
"x"
: [
1
,
2
,
3
]}
def
iter_maker
():
yield
data
builder
=
design_matrix_builders
([
make_termlist
(
"x"
)],
iter_maker
,
0
)[
0
]
# Check explicitly passing return_type="matrix" works
mat
=
build_design_matrices
([
builder
],
data
,
return_type
=
"matrix"
)[
0
]
assert
isinstance
(
mat
,
DesignMatrix
)
# Check that nonsense is detected
pytest
.
raises
(
PatsyError
,
build_design_matrices
, [
builder
],
data
,
return_type
=
"asdfsadf"
)
def
test_NA_action
():
initial_data
=
{
"x"
: [
1
,
2
,
3
],
"c"
: [
"c1"
,
"c2"
,
"c1"
]}
def
iter_maker
():
yield
initial_data
builder
=
design_matrix_builders
([
make_termlist
(
"x"
,
"c"
)],
iter_maker
,
0
)[
0
]
# By default drops rows containing either NaN or None
mat
=
build_design_matrices
([
builder
],
{
"x"
: [
10.0
,
np
.
nan
,
20.0
],
"c"
:
np
.
asarray
([
"c1"
,
"c2"
,
None
],
dtype
=
object
)})[
0
]
assert
mat
.
shape
==
(
1
,
3
)
assert
np
.
array_equal
(
mat
, [[
1.0
,
0.0
,
10.0
]])
# NA_action="a string" also accepted:
mat
=
build_design_matrices
([
builder
],
{
"x"
: [
10.0
,
np
.
nan
,
20.0
],
"c"
:
np
.
asarray
([
"c1"
,
"c2"
,
None
],
dtype
=
object
)},
NA_action
=
"drop"
)[
0
]
assert
mat
.
shape
==
(
1
,
3
)
assert
np
.
array_equal
(
mat
, [[
1.0
,
0.0
,
10.0
]])
# And objects
from
patsy
.
missing
import
NAAction
# allows NaN's to pass through
NA_action
=
NAAction
(
NA_types
=
[])
mat
=
build_design_matrices
([
builder
],
{
"x"
: [
10.0
,
np
.
nan
],
"c"
:
np
.
asarray
([
"c1"
,
"c2"
],
dtype
=
object
)},
NA_action
=
NA_action
)[
0
]
assert
mat
.
shape
==
(
2
,
3
)
# According to this (and only this) function, NaN == NaN.
np
.
testing
.
assert_array_equal
(
mat
, [[
1.0
,
0.0
,
10.0
], [
0.0
,
1.0
,
np
.
nan
]])
# NA_action="raise"
pytest
.
raises
(
PatsyError
,
build_design_matrices
,
[
builder
],
{
"x"
: [
10.0
,
np
.
nan
,
20.0
],
"c"
:
np
.
asarray
([
"c1"
,
"c2"
,
None
],
dtype
=
object
)},
NA_action
=
"raise"
)
def
test_NA_drop_preserves_levels
():
# Even if all instances of some level are dropped, we still include it in
# the output matrix (as an all-zeros column)
data
=
{
"x"
: [
1.0
,
np
.
nan
,
3.0
],
"c"
: [
"c1"
,
"c2"
,
"c3"
]}
def
iter_maker
():
yield
data
design_info
=
design_matrix_builders
([
make_termlist
(
"x"
,
"c"
)],
iter_maker
,
0
)[
0
]
assert
design_info
.
column_names
==
[
"c[c1]"
,
"c[c2]"
,
"c[c3]"
,
"x"
]
mat
,
=
build_design_matrices
([
design_info
],
data
)
assert
mat
.
shape
==
(
2
,
4
)
assert
np
.
array_equal
(
mat
, [[
1.0
,
0.0
,
0.0
,
1.0
],
[
0.0
,
0.0
,
1.0
,
3.0
]])
def
test_return_type_pandas
():
if
not
have_pandas
:
return
data
=
pandas
.
DataFrame
({
"x"
: [
1
,
2
,
3
],
"y"
: [
4
,
5
,
6
],
"a"
: [
"a1"
,
"a2"
,
"a1"
]},
index
=
[
10
,
20
,
30
])
def
iter_maker
():
yield
data
int_builder
,
=
design_matrix_builders
([
make_termlist
([])],
iter_maker
,
0
)
(
y_builder
,
x_builder
)
=
design_matrix_builders
([
make_termlist
(
"y"
),
make_termlist
(
"x"
)],
iter_maker
,
eval_env
=
0
)
(
x_a_builder
,)
=
design_matrix_builders
([
make_termlist
(
"x"
,
"a"
)],
iter_maker
,
eval_env
=
0
)
(
x_y_builder
,)
=
design_matrix_builders
([
make_termlist
(
"x"
,
"y"
)],
iter_maker
,
eval_env
=
0
)
# Index compatibility is always checked for pandas input, regardless of
# whether we're producing pandas output
pytest
.
raises
(
PatsyError
,
build_design_matrices
,
[
x_a_builder
], {
"x"
:
data
[
"x"
],
"a"
:
data
[
"a"
][::
-
1
]})
pytest
.
raises
(
PatsyError
,
build_design_matrices
,
[
y_builder
,
x_builder
],
{
"x"
:
data
[
"x"
],
"y"
:
data
[
"y"
][::
-
1
]})
# And we also check consistency between data.index and value indexes
# Creating a mismatch between these is a bit tricky. We want a data object
# such that isinstance(data, DataFrame), but data["x"].index !=
# data.index.
class
CheatingDataFrame
(
pandas
.
DataFrame
):
def
__getitem__
(
self
,
key
):
if
key
==
"x"
:
return
pandas
.
DataFrame
.
__getitem__
(
self
,
key
)[::
-
1
]
else
:
return
pandas
.
DataFrame
.
__getitem__
(
self
,
key
)
pytest
.
raises
(
PatsyError
,
build_design_matrices
,
[
x_builder
],
CheatingDataFrame
(
data
))
# A mix of pandas input and unindexed input is fine
(
mat
,)
=
build_design_matrices
([
x_y_builder
],
{
"x"
:
data
[
"x"
],
"y"
: [
40
,
50
,
60
]})
assert
np
.
allclose
(
mat
, [[
1
,
40
], [
2
,
50
], [
3
,
60
]])
# with return_type="dataframe", we get out DataFrames with nice indices
# and nice column names and design_info
y_df
,
x_df
=
build_design_matrices
([
y_builder
,
x_builder
],
data
,
return_type
=
"dataframe"
)
assert
isinstance
(
y_df
,
pandas
.
DataFrame
)
assert
isinstance
(
x_df
,
pandas
.
DataFrame
)
assert
np
.
array_equal
(
y_df
, [[
4
], [
5
], [
6
]])
assert
np
.
array_equal
(
x_df
, [[
1
], [
2
], [
3
]])
assert
np
.
array_equal
(
y_df
.
index
, [
10
,
20
,
30
])
assert
np
.
array_equal
(
x_df
.
index
, [
10
,
20
,
30
])
assert
np
.
array_equal
(
y_df
.
columns
, [
"y"
])
assert
np
.
array_equal
(
x_df
.
columns
, [
"x"
])
assert
y_df
.
design_info
.
column_names
==
[
"y"
]
assert
x_df
.
design_info
.
column_names
==
[
"x"
]
assert
y_df
.
design_info
.
term_names
==
[
"y"
]
assert
x_df
.
design_info
.
term_names
==
[
"x"
]
# Same with mix of pandas and unindexed info, even if in different
# matrices
y_df
,
x_df
=
build_design_matrices
([
y_builder
,
x_builder
],
{
"y"
: [
7
,
8
,
9
],
"x"
:
data
[
"x"
]},
return_type
=
"dataframe"
)
assert
isinstance
(
y_df
,
pandas
.
DataFrame
)
assert
isinstance
(
x_df
,
pandas
.
DataFrame
)
assert
np
.
array_equal
(
y_df
, [[
7
], [
8
], [
9
]])
assert
np
.
array_equal
(
x_df
, [[
1
], [
2
], [
3
]])
assert
np
.
array_equal
(
y_df
.
index
, [
10
,
20
,
30
])
assert
np
.
array_equal
(
x_df
.
index
, [
10
,
20
,
30
])
assert
np
.
array_equal
(
y_df
.
columns
, [
"y"
])
assert
np
.
array_equal
(
x_df
.
columns
, [
"x"
])
assert
y_df
.
design_info
.
column_names
==
[
"y"
]
assert
x_df
.
design_info
.
column_names
==
[
"x"
]
assert
y_df
.
design_info
.
term_names
==
[
"y"
]
assert
x_df
.
design_info
.
term_names
==
[
"x"
]
# Check categorical works for carrying index too
(
x_a_df
,)
=
build_design_matrices
([
x_a_builder
],
{
"x"
: [
-
1
,
-
2
,
-
3
],
"a"
:
data
[
"a"
]},
return_type
=
"dataframe"
)
assert
isinstance
(
x_a_df
,
pandas
.
DataFrame
)
assert
np
.
array_equal
(
x_a_df
, [[
1
,
0
,
-
1
], [
0
,
1
,
-
2
], [
1
,
0
,
-
3
]])
assert
np
.
array_equal
(
x_a_df
.
index
, [
10
,
20
,
30
])
# And if we have no indexed input, then we let pandas make up an index as
# per its usual rules:
(
x_y_df
,)
=
build_design_matrices
([
x_y_builder
],
{
"y"
: [
7
,
8
,
9
],
"x"
: [
10
,
11
,
12
]},
return_type
=
"dataframe"
)
assert
isinstance
(
x_y_df
,
pandas
.
DataFrame
)
assert
np
.
array_equal
(
x_y_df
, [[
10
,
7
], [
11
,
8
], [
12
,
9
]])
assert
np
.
array_equal
(
x_y_df
.
index
, [
0
,
1
,
2
])
# If 'data' is a DataFrame, then that suffices, even if no factors are
# available.
(
int_df
,)
=
build_design_matrices
([
int_builder
],
data
,
return_type
=
"dataframe"
)
assert
isinstance
(
int_df
,
pandas
.
DataFrame
)
assert
np
.
array_equal
(
int_df
, [[
1
], [
1
], [
1
]])
assert
int_df
.
index
.
equals
(
pandas
.
Index
([
10
,
20
,
30
]))
import
patsy
.
build
had_pandas
=
patsy
.
build
.
have_pandas
try
:
patsy
.
build
.
have_pandas
=
False
# return_type="dataframe" gives a nice error if pandas is not available
pytest
.
raises
(
PatsyError
,
build_design_matrices
,
[
x_builder
], {
"x"
: [
1
,
2
,
3
]},
return_type
=
"dataframe"
)
finally
:
patsy
.
build
.
have_pandas
=
had_pandas
x_df
,
=
build_design_matrices
([
x_a_builder
],
{
"x"
: [
1.0
,
np
.
nan
,
3.0
],
"a"
:
np
.
asarray
([
None
,
"a2"
,
"a1"
],
dtype
=
object
)},
NA_action
=
"drop"
,
return_type
=
"dataframe"
)
assert
x_df
.
index
.
equals
(
pandas
.
Index
([
2
]))
def
test_data_mismatch
():
test_cases_twoway
=
[
# Data type mismatch
([
1
,
2
,
3
], [
True
,
False
,
True
]),
(
C
([
"a"
,
"b"
,
"c"
],
levels
=
[
"c"
,
"b"
,
"a"
]),
C
([
"a"
,
"b"
,
"c"
],
levels
=
[
"a"
,
"b"
,
"c"
])),
# column number mismatches
([[
1
], [
2
], [
3
]], [[
1
,
1
], [
2
,
2
], [
3
,
3
]]),
([[
1
,
1
,
1
], [
2
,
2
,
2
], [
3
,
3
,
3
]], [[
1
,
1
], [
2
,
2
], [
3
,
3
]]),
]
test_cases_oneway
=
[
([
1
,
2
,
3
], [
"a"
,
"b"
,
"c"
]),
([
1
,
2
,
3
],
C
([
"a"
,
"b"
,
"c"
])),
([
True
,
False
,
True
],
C
([
"a"
,
"b"
,
"c"
])),
([
True
,
False
,
True
], [
"a"
,
"b"
,
"c"
]),
]
setup_predict_only
=
[
# This is not an error if both are fed in during make_builders, but it
# is an error to pass one to make_builders and the other to
# make_matrices.
([
"a"
,
"b"
,
"c"
], [
"a"
,
"b"
,
"d"
]),
]
termlist
=
make_termlist
([
"x"
])
def
t_incremental
(
data1
,
data2
):
def
iter_maker
():
yield
{
"x"
:
data1
}
yield
{
"x"
:
data2
}
try
:
builders
=
design_matrix_builders
([
termlist
],
iter_maker
,
0
)
build_design_matrices
(
builders
, {
"x"
:
data1
})
build_design_matrices
(
builders
, {
"x"
:
data2
})
except
PatsyError
:
pass
else
:
raise
AssertionError
def
t_setup_predict
(
data1
,
data2
):
def
iter_maker
():
yield
{
"x"
:
data1
}
builders
=
design_matrix_builders
([
termlist
],
iter_maker
,
0
)
pytest
.
raises
(
PatsyError
,
build_design_matrices
,
builders
, {
"x"
:
data2
})
for
(
a
,
b
)
in
test_cases_twoway
:
t_incremental
(
a
,
b
)
t_incremental
(
b
,
a
)
t_setup_predict
(
a
,
b
)
t_setup_predict
(
b
,
a
)
for
(
a
,
b
)
in
test_cases_oneway
:
t_incremental
(
a
,
b
)
t_setup_predict
(
a
,
b
)
for
(
a
,
b
)
in
setup_predict_only
:
t_setup_predict
(
a
,
b
)
t_setup_predict
(
b
,
a
)
pytest
.
raises
(
PatsyError
,
make_matrix
, {
"x"
: [
1
,
2
,
3
],
"y"
: [
1
,
2
,
3
,
4
]},
2
, [[
"x"
], [
"y"
]])
def
test_data_independent_builder
():
data
=
{
"x"
: [
1
,
2
,
3
]}
def
iter_maker
():
yield
data
# Trying to build a matrix that doesn't depend on the data at all is an
# error, if:
# - the index argument is not given
# - the data is not a DataFrame
# - there are no other matrices
null_builder
=
design_matrix_builders
([
make_termlist
()],
iter_maker
,
0
)[
0
]
pytest
.
raises
(
PatsyError
,
build_design_matrices
, [
null_builder
],
data
)
intercept_builder
=
design_matrix_builders
([
make_termlist
([])],
iter_maker
,
eval_env
=
0
)[
0
]
pytest
.
raises
(
PatsyError
,
build_design_matrices
, [
intercept_builder
],
data
)
pytest
.
raises
(
PatsyError
,
build_design_matrices
,
[
null_builder
,
intercept_builder
],
data
)
# If data is a DataFrame, it sets the number of rows.
if
have_pandas
:
int_m
,
null_m
=
build_design_matrices
([
intercept_builder
,
null_builder
],
pandas
.
DataFrame
(
data
))
assert
np
.
allclose
(
int_m
, [[
1
], [
1
], [
1
]])
assert
null_m
.
shape
==
(
3
,
0
)
# If there are other matrices that do depend on the data, we make the
# data-independent matrices have the same number of rows.
x_termlist
=
make_termlist
([
"x"
])
builders
=
design_matrix_builders
([
x_termlist
,
make_termlist
()],
iter_maker
,
eval_env
=
0
)
x_m
,
null_m
=
build_design_matrices
(
builders
,
data
)
assert
np
.
allclose
(
x_m
, [[
1
], [
2
], [
3
]])
assert
null_m
.
shape
==
(
3
,
0
)
builders
=
design_matrix_builders
([
x_termlist
,
make_termlist
([])],
iter_maker
,
eval_env
=
0
)
x_m
,
null_m
=
build_design_matrices
(
builders
,
data
)
x_m
,
intercept_m
=
build_design_matrices
(
builders
,
data
)
assert
np
.
allclose
(
x_m
, [[
1
], [
2
], [
3
]])
assert
np
.
allclose
(
intercept_m
, [[
1
], [
1
], [
1
]])
def
test_same_factor_in_two_matrices
():
data
=
{
"x"
: [
1
,
2
,
3
],
"a"
: [
"a1"
,
"a2"
,
"a1"
]}
def
iter_maker
():
yield
data
t1
=
make_termlist
([
"x"
])
t2
=
make_termlist
([
"x"
,
"a"
])
builders
=
design_matrix_builders
([
t1
,
t2
],
iter_maker
,
eval_env
=
0
)
m1
,
m2
=
build_design_matrices
(
builders
,
data
)
check_design_matrix
(
m1
,
1
,
t1
,
column_names
=
[
"x"
])
assert
np
.
allclose
(
m1
, [[
1
], [
2
], [
3
]])
check_design_matrix
(
m2
,
2
,
t2
,
column_names
=
[
"x:a[a1]"
,
"x:a[a2]"
])
assert
np
.
allclose
(
m2
, [[
1
,
0
], [
0
,
2
], [
3
,
0
]])
def
test_eval_env_type_builder
():
data
=
{
"x"
: [
1
,
2
,
3
]}
def
iter_maker
():
yield
data
pytest
.
raises
(
TypeError
,
design_matrix_builders
, [
make_termlist
(
"x"
)],
iter_maker
,
"foo"
)
def
test_categorical
():
data_strings
=
{
"a"
: [
"a1"
,
"a2"
,
"a1"
]}
data_categ
=
{
"a"
:
C
([
"a2"
,
"a1"
,
"a2"
])}
datas
=
[
data_strings
,
data_categ
]
if
have_pandas_categorical
:
data_pandas
=
{
"a"
:
pandas
.
Categorical
([
"a1"
,
"a2"
,
"a2"
])}
datas
.
append
(
data_pandas
)
def
t
(
data1
,
data2
):
def
iter_maker
():
yield
data1
builders
=
design_matrix_builders
([
make_termlist
([
"a"
])],
iter_maker
,
eval_env
=
0
)
build_design_matrices
(
builders
,
data2
)
for
data1
in
datas
:
for
data2
in
datas
:
t
(
data1
,
data2
)
def
test_contrast
():
from
patsy
.
contrasts
import
ContrastMatrix
,
Sum
values
=
[
"a1"
,
"a3"
,
"a1"
,
"a2"
]
# No intercept in model, full-rank coding of 'a'
m
=
make_matrix
({
"a"
:
C
(
values
)},
3
, [[
"a"
]],
column_names
=
[
"a[a1]"
,
"a[a2]"
,
"a[a3]"
])
assert
np
.
allclose
(
m
, [[
1
,
0
,
0
],
[
0
,
0
,
1
],
[
1
,
0
,
0
],
[
0
,
1
,
0
]])
for
s
in
(
Sum
,
Sum
()):
m
=
make_matrix
({
"a"
:
C
(
values
,
s
)},
3
, [[
"a"
]],
column_names
=
[
"a[mean]"
,
"a[S.a1]"
,
"a[S.a2]"
])
# Output from R
assert
np
.
allclose
(
m
, [[
1
,
1
,
0
],
[
1
,
-
1
,
-
1
],
[
1
,
1
,
0
],
[
1
,
0
,
1
]])
m
=
make_matrix
({
"a"
:
C
(
values
,
Sum
(
omit
=
0
))},
3
, [[
"a"
]],
column_names
=
[
"a[mean]"
,
"a[S.a2]"
,
"a[S.a3]"
])
# Output from R
assert
np
.
allclose
(
m
, [[
1
,
-
1
,
-
1
],
[
1
,
0
,
1
],
[
1
,
-
1
,
-
1
],
[
1
,
1
,
0
]])
# Intercept in model, non-full-rank coding of 'a'
m
=
make_matrix
({
"a"
:
C
(
values
)},
3
, [[], [
"a"
]],
column_names
=
[
"Intercept"
,
"a[T.a2]"
,
"a[T.a3]"
])
assert
np
.
allclose
(
m
, [[
1
,
0
,
0
],
[
1
,
0
,
1
],
[
1
,
0
,
0
],
[
1
,
1
,
0
]])
for
s
in
(
Sum
,
Sum
()):
m
=
make_matrix
({
"a"
:
C
(
values
,
s
)},
3
, [[], [
"a"
]],
column_names
=
[
"Intercept"
,
"a[S.a1]"
,
"a[S.a2]"
])
# Output from R
assert
np
.
allclose
(
m
, [[
1
,
1
,
0
],
[
1
,
-
1
,
-
1
],
[
1
,
1
,
0
],
[
1
,
0
,
1
]])
m
=
make_matrix
({
"a"
:
C
(
values
,
Sum
(
omit
=
0
))},
3
, [[], [
"a"
]],
column_names
=
[
"Intercept"
,
"a[S.a2]"
,
"a[S.a3]"
])
# Output from R
assert
np
.
allclose
(
m
, [[
1
,
-
1
,
-
1
],
[
1
,
0
,
1
],
[
1
,
-
1
,
-
1
],
[
1
,
1
,
0
]])
# Weird ad hoc less-than-full-rank coding of 'a'
m
=
make_matrix
({
"a"
:
C
(
values
, [[
7
,
12
],
[
2
,
13
],
[
8
,
-
1
]])},
2
, [[
"a"
]],
column_names
=
[
"a[custom0]"
,
"a[custom1]"
])
assert
np
.
allclose
(
m
, [[
7
,
12
],
[
8
,
-
1
],
[
7
,
12
],
[
2
,
13
]])
m
=
make_matrix
({
"a"
:
C
(
values
,
ContrastMatrix
([[
7
,
12
],
[
2
,
13
],
[
8
,
-
1
]],
[
"[foo]"
,
"[bar]"
]))},
2
, [[
"a"
]],
column_names
=
[
"a[foo]"
,
"a[bar]"
])
assert
np
.
allclose
(
m
, [[
7
,
12
],
[
8
,
-
1
],
[
7
,
12
],
[
2
,
13
]])
def
test_DesignInfo_subset
():
# For each combination of:
# formula, term names, term objects, mixed term name and term objects
# check that results match subset of full build
# and that removed variables don't hurt
all_data
=
{
"x"
: [
1
,
2
],
"y"
: [[
3.1
,
3.2
],
[
4.1
,
4.2
]],
"z"
: [
5
,
6
]}
all_terms
=
make_termlist
(
"x"
,
"y"
,
"z"
)
def
iter_maker
():
yield
all_data
all_builder
=
design_matrix_builders
([
all_terms
],
iter_maker
,
0
)[
0
]
full_matrix
=
build_design_matrices
([
all_builder
],
all_data
)[
0
]
def
t
(
which_terms
,
variables
,
columns
):
sub_design_info
=
all_builder
.
subset
(
which_terms
)
sub_data
=
{}
for
variable
in
variables
:
sub_data
[
variable
]
=
all_data
[
variable
]
sub_matrix
=
build_design_matrices
([
sub_design_info
],
sub_data
)[
0
]
sub_full_matrix
=
full_matrix
[:,
columns
]
if
not
isinstance
(
which_terms
,
six
.
string_types
):
assert
len
(
which_terms
)
==
len
(
sub_design_info
.
terms
)
assert
np
.
array_equal
(
sub_matrix
,
sub_full_matrix
)
t
(
"~ 0 + x + y + z"
, [
"x"
,
"y"
,
"z"
],
slice
(
None
))
t
([
"x"
,
"y"
,
"z"
], [
"x"
,
"y"
,
"z"
],
slice
(
None
))
# Compatibility: six.PY2 wasn't added until 1.4.0, but six.PY3 exists in
# all versions.
if
not
six
.
PY3
:
t
([
unicode
(
"x"
),
unicode
(
"y"
),
unicode
(
"z"
)],
[
"x"
,
"y"
,
"z"
],
slice
(
None
))
t
(
all_terms
, [
"x"
,
"y"
,
"z"
],
slice
(
None
))
t
([
all_terms
[
0
],
"y"
,
all_terms
[
2
]], [
"x"
,
"y"
,
"z"
],
slice
(
None
))
t
(
"~ 0 + x + z"
, [
"x"
,
"z"
], [
0
,
3
])
t
([
"x"
,
"z"
], [
"x"
,
"z"
], [
0
,
3
])
# Compatibility: six.PY2 wasn't added until 1.4.0, but six.PY3 exists in
# all versions.
if
not
six
.
PY3
:
t
([
unicode
(
"x"
),
unicode
(
"z"
)], [
"x"
,
"z"
], [
0
,
3
])
t
([
all_terms
[
0
],
all_terms
[
2
]], [
"x"
,
"z"
], [
0
,
3
])
t
([
all_terms
[
0
],
"z"
], [
"x"
,
"z"
], [
0
,
3
])
t
(
"~ 0 + z + x"
, [
"x"
,
"z"
], [
3
,
0
])
t
([
"z"
,
"x"
], [
"x"
,
"z"
], [
3
,
0
])
t
([
six
.
text_type
(
"z"
),
six
.
text_type
(
"x"
)], [
"x"
,
"z"
], [
3
,
0
])
t
([
all_terms
[
2
],
all_terms
[
0
]], [
"x"
,
"z"
], [
3
,
0
])
t
([
all_terms
[
2
],
"x"
], [
"x"
,
"z"
], [
3
,
0
])
t
(
"~ 0 + y"
, [
"y"
], [
1
,
2
])
t
([
"y"
], [
"y"
], [
1
,
2
])
t
([
six
.
text_type
(
"y"
)], [
"y"
], [
1
,
2
])
t
([
all_terms
[
1
]], [
"y"
], [
1
,
2
])
# Formula can't have a LHS
pytest
.
raises
(
PatsyError
,
all_builder
.
subset
,
"a ~ a"
)
# Term must exist
pytest
.
raises
(
KeyError
,
all_builder
.
subset
,
"~ asdf"
)
pytest
.
raises
(
KeyError
,
all_builder
.
subset
, [
"asdf"
])
pytest
.
raises
(
KeyError
,
all_builder
.
subset
, [
Term
([
"asdf"
])])
# Also check for a minimal DesignInfo (column names only)
min_di
=
DesignInfo
([
"a"
,
"b"
,
"c"
])
min_di_subset
=
min_di
.
subset
([
"c"
,
"a"
])
assert
min_di_subset
.
column_names
==
[
"c"
,
"a"
]
assert
min_di_subset
.
terms
is
None
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