Restore 0.1.5 version from stash

This commit is contained in:
liaibo
2025-12-08 19:56:24 +08:00
parent de189e938d
commit 8db3f4e32d
8578 changed files with 2703426 additions and 217 deletions
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"""
**Note:** almost all functions in the ``numpy.lib`` namespace
are also present in the main ``numpy`` namespace. Please use the
functions as ``np.<funcname>`` where possible.
``numpy.lib`` is mostly a space for implementing functions that don't
belong in core or in another NumPy submodule with a clear purpose
(e.g. ``random``, ``fft``, ``linalg``, ``ma``).
Most contains basic functions that are used by several submodules and are
useful to have in the main name-space.
"""
# Public submodules
# Note: recfunctions and (maybe) format are public too, but not imported
from . import mixins
from . import scimath as emath
# Private submodules
# load module names. See https://github.com/networkx/networkx/issues/5838
from . import type_check
from . import index_tricks
from . import function_base
from . import nanfunctions
from . import shape_base
from . import stride_tricks
from . import twodim_base
from . import ufunclike
from . import histograms
from . import polynomial
from . import utils
from . import arraysetops
from . import npyio
from . import arrayterator
from . import arraypad
from . import _version
from .type_check import *
from .index_tricks import *
from .function_base import *
from .nanfunctions import *
from .shape_base import *
from .stride_tricks import *
from .twodim_base import *
from .ufunclike import *
from .histograms import *
from .polynomial import *
from .utils import *
from .arraysetops import *
from .npyio import *
from .arrayterator import Arrayterator
from .arraypad import *
from ._version import *
from numpy.core._multiarray_umath import tracemalloc_domain
__all__ = ['emath', 'tracemalloc_domain', 'Arrayterator']
__all__ += type_check.__all__
__all__ += index_tricks.__all__
__all__ += function_base.__all__
__all__ += shape_base.__all__
__all__ += stride_tricks.__all__
__all__ += twodim_base.__all__
__all__ += ufunclike.__all__
__all__ += arraypad.__all__
__all__ += polynomial.__all__
__all__ += utils.__all__
__all__ += arraysetops.__all__
__all__ += npyio.__all__
__all__ += nanfunctions.__all__
__all__ += histograms.__all__
from numpy._pytesttester import PytestTester
test = PytestTester(__name__)
del PytestTester
def __getattr__(attr):
# Warn for reprecated attributes
import math
import warnings
if attr == 'math':
warnings.warn(
"`np.lib.math` is a deprecated alias for the standard library "
"`math` module (Deprecated Numpy 1.25). Replace usages of "
"`numpy.lib.math` with `math`", DeprecationWarning, stacklevel=2)
return math
else:
raise AttributeError("module {!r} has no attribute "
"{!r}".format(__name__, attr))
@@ -0,0 +1,245 @@
import math as math
from typing import Any
from numpy._pytesttester import PytestTester
from numpy import (
ndenumerate as ndenumerate,
ndindex as ndindex,
)
from numpy.version import version
from numpy.lib import (
format as format,
mixins as mixins,
scimath as scimath,
stride_tricks as stride_tricks,
)
from numpy.lib._version import (
NumpyVersion as NumpyVersion,
)
from numpy.lib.arraypad import (
pad as pad,
)
from numpy.lib.arraysetops import (
ediff1d as ediff1d,
intersect1d as intersect1d,
setxor1d as setxor1d,
union1d as union1d,
setdiff1d as setdiff1d,
unique as unique,
in1d as in1d,
isin as isin,
)
from numpy.lib.arrayterator import (
Arrayterator as Arrayterator,
)
from numpy.lib.function_base import (
select as select,
piecewise as piecewise,
trim_zeros as trim_zeros,
copy as copy,
iterable as iterable,
percentile as percentile,
diff as diff,
gradient as gradient,
angle as angle,
unwrap as unwrap,
sort_complex as sort_complex,
disp as disp,
flip as flip,
rot90 as rot90,
extract as extract,
place as place,
vectorize as vectorize,
asarray_chkfinite as asarray_chkfinite,
average as average,
bincount as bincount,
digitize as digitize,
cov as cov,
corrcoef as corrcoef,
median as median,
sinc as sinc,
hamming as hamming,
hanning as hanning,
bartlett as bartlett,
blackman as blackman,
kaiser as kaiser,
trapz as trapz,
i0 as i0,
add_newdoc as add_newdoc,
add_docstring as add_docstring,
meshgrid as meshgrid,
delete as delete,
insert as insert,
append as append,
interp as interp,
add_newdoc_ufunc as add_newdoc_ufunc,
quantile as quantile,
)
from numpy.lib.histograms import (
histogram_bin_edges as histogram_bin_edges,
histogram as histogram,
histogramdd as histogramdd,
)
from numpy.lib.index_tricks import (
ravel_multi_index as ravel_multi_index,
unravel_index as unravel_index,
mgrid as mgrid,
ogrid as ogrid,
r_ as r_,
c_ as c_,
s_ as s_,
index_exp as index_exp,
ix_ as ix_,
fill_diagonal as fill_diagonal,
diag_indices as diag_indices,
diag_indices_from as diag_indices_from,
)
from numpy.lib.nanfunctions import (
nansum as nansum,
nanmax as nanmax,
nanmin as nanmin,
nanargmax as nanargmax,
nanargmin as nanargmin,
nanmean as nanmean,
nanmedian as nanmedian,
nanpercentile as nanpercentile,
nanvar as nanvar,
nanstd as nanstd,
nanprod as nanprod,
nancumsum as nancumsum,
nancumprod as nancumprod,
nanquantile as nanquantile,
)
from numpy.lib.npyio import (
savetxt as savetxt,
loadtxt as loadtxt,
genfromtxt as genfromtxt,
recfromtxt as recfromtxt,
recfromcsv as recfromcsv,
load as load,
save as save,
savez as savez,
savez_compressed as savez_compressed,
packbits as packbits,
unpackbits as unpackbits,
fromregex as fromregex,
DataSource as DataSource,
)
from numpy.lib.polynomial import (
poly as poly,
roots as roots,
polyint as polyint,
polyder as polyder,
polyadd as polyadd,
polysub as polysub,
polymul as polymul,
polydiv as polydiv,
polyval as polyval,
polyfit as polyfit,
RankWarning as RankWarning,
poly1d as poly1d,
)
from numpy.lib.shape_base import (
column_stack as column_stack,
row_stack as row_stack,
dstack as dstack,
array_split as array_split,
split as split,
hsplit as hsplit,
vsplit as vsplit,
dsplit as dsplit,
apply_over_axes as apply_over_axes,
expand_dims as expand_dims,
apply_along_axis as apply_along_axis,
kron as kron,
tile as tile,
get_array_wrap as get_array_wrap,
take_along_axis as take_along_axis,
put_along_axis as put_along_axis,
)
from numpy.lib.stride_tricks import (
broadcast_to as broadcast_to,
broadcast_arrays as broadcast_arrays,
broadcast_shapes as broadcast_shapes,
)
from numpy.lib.twodim_base import (
diag as diag,
diagflat as diagflat,
eye as eye,
fliplr as fliplr,
flipud as flipud,
tri as tri,
triu as triu,
tril as tril,
vander as vander,
histogram2d as histogram2d,
mask_indices as mask_indices,
tril_indices as tril_indices,
tril_indices_from as tril_indices_from,
triu_indices as triu_indices,
triu_indices_from as triu_indices_from,
)
from numpy.lib.type_check import (
mintypecode as mintypecode,
asfarray as asfarray,
real as real,
imag as imag,
iscomplex as iscomplex,
isreal as isreal,
iscomplexobj as iscomplexobj,
isrealobj as isrealobj,
nan_to_num as nan_to_num,
real_if_close as real_if_close,
typename as typename,
common_type as common_type,
)
from numpy.lib.ufunclike import (
fix as fix,
isposinf as isposinf,
isneginf as isneginf,
)
from numpy.lib.utils import (
issubclass_ as issubclass_,
issubsctype as issubsctype,
issubdtype as issubdtype,
deprecate as deprecate,
deprecate_with_doc as deprecate_with_doc,
get_include as get_include,
info as info,
source as source,
who as who,
lookfor as lookfor,
byte_bounds as byte_bounds,
safe_eval as safe_eval,
show_runtime as show_runtime,
)
from numpy.core.multiarray import (
tracemalloc_domain as tracemalloc_domain,
)
__all__: list[str]
__path__: list[str]
test: PytestTester
__version__ = version
emath = scimath
@@ -0,0 +1,704 @@
"""A file interface for handling local and remote data files.
The goal of datasource is to abstract some of the file system operations
when dealing with data files so the researcher doesn't have to know all the
low-level details. Through datasource, a researcher can obtain and use a
file with one function call, regardless of location of the file.
DataSource is meant to augment standard python libraries, not replace them.
It should work seamlessly with standard file IO operations and the os
module.
DataSource files can originate locally or remotely:
- local files : '/home/guido/src/local/data.txt'
- URLs (http, ftp, ...) : 'http://www.scipy.org/not/real/data.txt'
DataSource files can also be compressed or uncompressed. Currently only
gzip, bz2 and xz are supported.
Example::
>>> # Create a DataSource, use os.curdir (default) for local storage.
>>> from numpy import DataSource
>>> ds = DataSource()
>>>
>>> # Open a remote file.
>>> # DataSource downloads the file, stores it locally in:
>>> # './www.google.com/index.html'
>>> # opens the file and returns a file object.
>>> fp = ds.open('http://www.google.com/') # doctest: +SKIP
>>>
>>> # Use the file as you normally would
>>> fp.read() # doctest: +SKIP
>>> fp.close() # doctest: +SKIP
"""
import os
import io
from .._utils import set_module
_open = open
def _check_mode(mode, encoding, newline):
"""Check mode and that encoding and newline are compatible.
Parameters
----------
mode : str
File open mode.
encoding : str
File encoding.
newline : str
Newline for text files.
"""
if "t" in mode:
if "b" in mode:
raise ValueError("Invalid mode: %r" % (mode,))
else:
if encoding is not None:
raise ValueError("Argument 'encoding' not supported in binary mode")
if newline is not None:
raise ValueError("Argument 'newline' not supported in binary mode")
# Using a class instead of a module-level dictionary
# to reduce the initial 'import numpy' overhead by
# deferring the import of lzma, bz2 and gzip until needed
# TODO: .zip support, .tar support?
class _FileOpeners:
"""
Container for different methods to open (un-)compressed files.
`_FileOpeners` contains a dictionary that holds one method for each
supported file format. Attribute lookup is implemented in such a way
that an instance of `_FileOpeners` itself can be indexed with the keys
of that dictionary. Currently uncompressed files as well as files
compressed with ``gzip``, ``bz2`` or ``xz`` compression are supported.
Notes
-----
`_file_openers`, an instance of `_FileOpeners`, is made available for
use in the `_datasource` module.
Examples
--------
>>> import gzip
>>> np.lib._datasource._file_openers.keys()
[None, '.bz2', '.gz', '.xz', '.lzma']
>>> np.lib._datasource._file_openers['.gz'] is gzip.open
True
"""
def __init__(self):
self._loaded = False
self._file_openers = {None: io.open}
def _load(self):
if self._loaded:
return
try:
import bz2
self._file_openers[".bz2"] = bz2.open
except ImportError:
pass
try:
import gzip
self._file_openers[".gz"] = gzip.open
except ImportError:
pass
try:
import lzma
self._file_openers[".xz"] = lzma.open
self._file_openers[".lzma"] = lzma.open
except (ImportError, AttributeError):
# There are incompatible backports of lzma that do not have the
# lzma.open attribute, so catch that as well as ImportError.
pass
self._loaded = True
def keys(self):
"""
Return the keys of currently supported file openers.
Parameters
----------
None
Returns
-------
keys : list
The keys are None for uncompressed files and the file extension
strings (i.e. ``'.gz'``, ``'.xz'``) for supported compression
methods.
"""
self._load()
return list(self._file_openers.keys())
def __getitem__(self, key):
self._load()
return self._file_openers[key]
_file_openers = _FileOpeners()
def open(path, mode='r', destpath=os.curdir, encoding=None, newline=None):
"""
Open `path` with `mode` and return the file object.
If ``path`` is an URL, it will be downloaded, stored in the
`DataSource` `destpath` directory and opened from there.
Parameters
----------
path : str
Local file path or URL to open.
mode : str, optional
Mode to open `path`. Mode 'r' for reading, 'w' for writing, 'a' to
append. Available modes depend on the type of object specified by
path. Default is 'r'.
destpath : str, optional
Path to the directory where the source file gets downloaded to for
use. If `destpath` is None, a temporary directory will be created.
The default path is the current directory.
encoding : {None, str}, optional
Open text file with given encoding. The default encoding will be
what `io.open` uses.
newline : {None, str}, optional
Newline to use when reading text file.
Returns
-------
out : file object
The opened file.
Notes
-----
This is a convenience function that instantiates a `DataSource` and
returns the file object from ``DataSource.open(path)``.
"""
ds = DataSource(destpath)
return ds.open(path, mode, encoding=encoding, newline=newline)
@set_module('numpy')
class DataSource:
"""
DataSource(destpath='.')
A generic data source file (file, http, ftp, ...).
DataSources can be local files or remote files/URLs. The files may
also be compressed or uncompressed. DataSource hides some of the
low-level details of downloading the file, allowing you to simply pass
in a valid file path (or URL) and obtain a file object.
Parameters
----------
destpath : str or None, optional
Path to the directory where the source file gets downloaded to for
use. If `destpath` is None, a temporary directory will be created.
The default path is the current directory.
Notes
-----
URLs require a scheme string (``http://``) to be used, without it they
will fail::
>>> repos = np.DataSource()
>>> repos.exists('www.google.com/index.html')
False
>>> repos.exists('http://www.google.com/index.html')
True
Temporary directories are deleted when the DataSource is deleted.
Examples
--------
::
>>> ds = np.DataSource('/home/guido')
>>> urlname = 'http://www.google.com/'
>>> gfile = ds.open('http://www.google.com/')
>>> ds.abspath(urlname)
'/home/guido/www.google.com/index.html'
>>> ds = np.DataSource(None) # use with temporary file
>>> ds.open('/home/guido/foobar.txt')
<open file '/home/guido.foobar.txt', mode 'r' at 0x91d4430>
>>> ds.abspath('/home/guido/foobar.txt')
'/tmp/.../home/guido/foobar.txt'
"""
def __init__(self, destpath=os.curdir):
"""Create a DataSource with a local path at destpath."""
if destpath:
self._destpath = os.path.abspath(destpath)
self._istmpdest = False
else:
import tempfile # deferring import to improve startup time
self._destpath = tempfile.mkdtemp()
self._istmpdest = True
def __del__(self):
# Remove temp directories
if hasattr(self, '_istmpdest') and self._istmpdest:
import shutil
shutil.rmtree(self._destpath)
def _iszip(self, filename):
"""Test if the filename is a zip file by looking at the file extension.
"""
fname, ext = os.path.splitext(filename)
return ext in _file_openers.keys()
def _iswritemode(self, mode):
"""Test if the given mode will open a file for writing."""
# Currently only used to test the bz2 files.
_writemodes = ("w", "+")
for c in mode:
if c in _writemodes:
return True
return False
def _splitzipext(self, filename):
"""Split zip extension from filename and return filename.
Returns
-------
base, zip_ext : {tuple}
"""
if self._iszip(filename):
return os.path.splitext(filename)
else:
return filename, None
def _possible_names(self, filename):
"""Return a tuple containing compressed filename variations."""
names = [filename]
if not self._iszip(filename):
for zipext in _file_openers.keys():
if zipext:
names.append(filename+zipext)
return names
def _isurl(self, path):
"""Test if path is a net location. Tests the scheme and netloc."""
# We do this here to reduce the 'import numpy' initial import time.
from urllib.parse import urlparse
# BUG : URLs require a scheme string ('http://') to be used.
# www.google.com will fail.
# Should we prepend the scheme for those that don't have it and
# test that also? Similar to the way we append .gz and test for
# for compressed versions of files.
scheme, netloc, upath, uparams, uquery, ufrag = urlparse(path)
return bool(scheme and netloc)
def _cache(self, path):
"""Cache the file specified by path.
Creates a copy of the file in the datasource cache.
"""
# We import these here because importing them is slow and
# a significant fraction of numpy's total import time.
import shutil
from urllib.request import urlopen
upath = self.abspath(path)
# ensure directory exists
if not os.path.exists(os.path.dirname(upath)):
os.makedirs(os.path.dirname(upath))
# TODO: Doesn't handle compressed files!
if self._isurl(path):
with urlopen(path) as openedurl:
with _open(upath, 'wb') as f:
shutil.copyfileobj(openedurl, f)
else:
shutil.copyfile(path, upath)
return upath
def _findfile(self, path):
"""Searches for ``path`` and returns full path if found.
If path is an URL, _findfile will cache a local copy and return the
path to the cached file. If path is a local file, _findfile will
return a path to that local file.
The search will include possible compressed versions of the file
and return the first occurrence found.
"""
# Build list of possible local file paths
if not self._isurl(path):
# Valid local paths
filelist = self._possible_names(path)
# Paths in self._destpath
filelist += self._possible_names(self.abspath(path))
else:
# Cached URLs in self._destpath
filelist = self._possible_names(self.abspath(path))
# Remote URLs
filelist = filelist + self._possible_names(path)
for name in filelist:
if self.exists(name):
if self._isurl(name):
name = self._cache(name)
return name
return None
def abspath(self, path):
"""
Return absolute path of file in the DataSource directory.
If `path` is an URL, then `abspath` will return either the location
the file exists locally or the location it would exist when opened
using the `open` method.
Parameters
----------
path : str
Can be a local file or a remote URL.
Returns
-------
out : str
Complete path, including the `DataSource` destination directory.
Notes
-----
The functionality is based on `os.path.abspath`.
"""
# We do this here to reduce the 'import numpy' initial import time.
from urllib.parse import urlparse
# TODO: This should be more robust. Handles case where path includes
# the destpath, but not other sub-paths. Failing case:
# path = /home/guido/datafile.txt
# destpath = /home/alex/
# upath = self.abspath(path)
# upath == '/home/alex/home/guido/datafile.txt'
# handle case where path includes self._destpath
splitpath = path.split(self._destpath, 2)
if len(splitpath) > 1:
path = splitpath[1]
scheme, netloc, upath, uparams, uquery, ufrag = urlparse(path)
netloc = self._sanitize_relative_path(netloc)
upath = self._sanitize_relative_path(upath)
return os.path.join(self._destpath, netloc, upath)
def _sanitize_relative_path(self, path):
"""Return a sanitised relative path for which
os.path.abspath(os.path.join(base, path)).startswith(base)
"""
last = None
path = os.path.normpath(path)
while path != last:
last = path
# Note: os.path.join treats '/' as os.sep on Windows
path = path.lstrip(os.sep).lstrip('/')
path = path.lstrip(os.pardir).lstrip('..')
drive, path = os.path.splitdrive(path) # for Windows
return path
def exists(self, path):
"""
Test if path exists.
Test if `path` exists as (and in this order):
- a local file.
- a remote URL that has been downloaded and stored locally in the
`DataSource` directory.
- a remote URL that has not been downloaded, but is valid and
accessible.
Parameters
----------
path : str
Can be a local file or a remote URL.
Returns
-------
out : bool
True if `path` exists.
Notes
-----
When `path` is an URL, `exists` will return True if it's either
stored locally in the `DataSource` directory, or is a valid remote
URL. `DataSource` does not discriminate between the two, the file
is accessible if it exists in either location.
"""
# First test for local path
if os.path.exists(path):
return True
# We import this here because importing urllib is slow and
# a significant fraction of numpy's total import time.
from urllib.request import urlopen
from urllib.error import URLError
# Test cached url
upath = self.abspath(path)
if os.path.exists(upath):
return True
# Test remote url
if self._isurl(path):
try:
netfile = urlopen(path)
netfile.close()
del(netfile)
return True
except URLError:
return False
return False
def open(self, path, mode='r', encoding=None, newline=None):
"""
Open and return file-like object.
If `path` is an URL, it will be downloaded, stored in the
`DataSource` directory and opened from there.
Parameters
----------
path : str
Local file path or URL to open.
mode : {'r', 'w', 'a'}, optional
Mode to open `path`. Mode 'r' for reading, 'w' for writing,
'a' to append. Available modes depend on the type of object
specified by `path`. Default is 'r'.
encoding : {None, str}, optional
Open text file with given encoding. The default encoding will be
what `io.open` uses.
newline : {None, str}, optional
Newline to use when reading text file.
Returns
-------
out : file object
File object.
"""
# TODO: There is no support for opening a file for writing which
# doesn't exist yet (creating a file). Should there be?
# TODO: Add a ``subdir`` parameter for specifying the subdirectory
# used to store URLs in self._destpath.
if self._isurl(path) and self._iswritemode(mode):
raise ValueError("URLs are not writeable")
# NOTE: _findfile will fail on a new file opened for writing.
found = self._findfile(path)
if found:
_fname, ext = self._splitzipext(found)
if ext == 'bz2':
mode.replace("+", "")
return _file_openers[ext](found, mode=mode,
encoding=encoding, newline=newline)
else:
raise FileNotFoundError(f"{path} not found.")
class Repository (DataSource):
"""
Repository(baseurl, destpath='.')
A data repository where multiple DataSource's share a base
URL/directory.
`Repository` extends `DataSource` by prepending a base URL (or
directory) to all the files it handles. Use `Repository` when you will
be working with multiple files from one base URL. Initialize
`Repository` with the base URL, then refer to each file by its filename
only.
Parameters
----------
baseurl : str
Path to the local directory or remote location that contains the
data files.
destpath : str or None, optional
Path to the directory where the source file gets downloaded to for
use. If `destpath` is None, a temporary directory will be created.
The default path is the current directory.
Examples
--------
To analyze all files in the repository, do something like this
(note: this is not self-contained code)::
>>> repos = np.lib._datasource.Repository('/home/user/data/dir/')
>>> for filename in filelist:
... fp = repos.open(filename)
... fp.analyze()
... fp.close()
Similarly you could use a URL for a repository::
>>> repos = np.lib._datasource.Repository('http://www.xyz.edu/data')
"""
def __init__(self, baseurl, destpath=os.curdir):
"""Create a Repository with a shared url or directory of baseurl."""
DataSource.__init__(self, destpath=destpath)
self._baseurl = baseurl
def __del__(self):
DataSource.__del__(self)
def _fullpath(self, path):
"""Return complete path for path. Prepends baseurl if necessary."""
splitpath = path.split(self._baseurl, 2)
if len(splitpath) == 1:
result = os.path.join(self._baseurl, path)
else:
result = path # path contains baseurl already
return result
def _findfile(self, path):
"""Extend DataSource method to prepend baseurl to ``path``."""
return DataSource._findfile(self, self._fullpath(path))
def abspath(self, path):
"""
Return absolute path of file in the Repository directory.
If `path` is an URL, then `abspath` will return either the location
the file exists locally or the location it would exist when opened
using the `open` method.
Parameters
----------
path : str
Can be a local file or a remote URL. This may, but does not
have to, include the `baseurl` with which the `Repository` was
initialized.
Returns
-------
out : str
Complete path, including the `DataSource` destination directory.
"""
return DataSource.abspath(self, self._fullpath(path))
def exists(self, path):
"""
Test if path exists prepending Repository base URL to path.
Test if `path` exists as (and in this order):
- a local file.
- a remote URL that has been downloaded and stored locally in the
`DataSource` directory.
- a remote URL that has not been downloaded, but is valid and
accessible.
Parameters
----------
path : str
Can be a local file or a remote URL. This may, but does not
have to, include the `baseurl` with which the `Repository` was
initialized.
Returns
-------
out : bool
True if `path` exists.
Notes
-----
When `path` is an URL, `exists` will return True if it's either
stored locally in the `DataSource` directory, or is a valid remote
URL. `DataSource` does not discriminate between the two, the file
is accessible if it exists in either location.
"""
return DataSource.exists(self, self._fullpath(path))
def open(self, path, mode='r', encoding=None, newline=None):
"""
Open and return file-like object prepending Repository base URL.
If `path` is an URL, it will be downloaded, stored in the
DataSource directory and opened from there.
Parameters
----------
path : str
Local file path or URL to open. This may, but does not have to,
include the `baseurl` with which the `Repository` was
initialized.
mode : {'r', 'w', 'a'}, optional
Mode to open `path`. Mode 'r' for reading, 'w' for writing,
'a' to append. Available modes depend on the type of object
specified by `path`. Default is 'r'.
encoding : {None, str}, optional
Open text file with given encoding. The default encoding will be
what `io.open` uses.
newline : {None, str}, optional
Newline to use when reading text file.
Returns
-------
out : file object
File object.
"""
return DataSource.open(self, self._fullpath(path), mode,
encoding=encoding, newline=newline)
def listdir(self):
"""
List files in the source Repository.
Returns
-------
files : list of str
List of file names (not containing a directory part).
Notes
-----
Does not currently work for remote repositories.
"""
if self._isurl(self._baseurl):
raise NotImplementedError(
"Directory listing of URLs, not supported yet.")
else:
return os.listdir(self._baseurl)
@@ -0,0 +1,897 @@
"""A collection of functions designed to help I/O with ascii files.
"""
__docformat__ = "restructuredtext en"
import numpy as np
import numpy.core.numeric as nx
from numpy.compat import asbytes, asunicode
def _decode_line(line, encoding=None):
"""Decode bytes from binary input streams.
Defaults to decoding from 'latin1'. That differs from the behavior of
np.compat.asunicode that decodes from 'ascii'.
Parameters
----------
line : str or bytes
Line to be decoded.
encoding : str
Encoding used to decode `line`.
Returns
-------
decoded_line : str
"""
if type(line) is bytes:
if encoding is None:
encoding = "latin1"
line = line.decode(encoding)
return line
def _is_string_like(obj):
"""
Check whether obj behaves like a string.
"""
try:
obj + ''
except (TypeError, ValueError):
return False
return True
def _is_bytes_like(obj):
"""
Check whether obj behaves like a bytes object.
"""
try:
obj + b''
except (TypeError, ValueError):
return False
return True
def has_nested_fields(ndtype):
"""
Returns whether one or several fields of a dtype are nested.
Parameters
----------
ndtype : dtype
Data-type of a structured array.
Raises
------
AttributeError
If `ndtype` does not have a `names` attribute.
Examples
--------
>>> dt = np.dtype([('name', 'S4'), ('x', float), ('y', float)])
>>> np.lib._iotools.has_nested_fields(dt)
False
"""
for name in ndtype.names or ():
if ndtype[name].names is not None:
return True
return False
def flatten_dtype(ndtype, flatten_base=False):
"""
Unpack a structured data-type by collapsing nested fields and/or fields
with a shape.
Note that the field names are lost.
Parameters
----------
ndtype : dtype
The datatype to collapse
flatten_base : bool, optional
If True, transform a field with a shape into several fields. Default is
False.
Examples
--------
>>> dt = np.dtype([('name', 'S4'), ('x', float), ('y', float),
... ('block', int, (2, 3))])
>>> np.lib._iotools.flatten_dtype(dt)
[dtype('S4'), dtype('float64'), dtype('float64'), dtype('int64')]
>>> np.lib._iotools.flatten_dtype(dt, flatten_base=True)
[dtype('S4'),
dtype('float64'),
dtype('float64'),
dtype('int64'),
dtype('int64'),
dtype('int64'),
dtype('int64'),
dtype('int64'),
dtype('int64')]
"""
names = ndtype.names
if names is None:
if flatten_base:
return [ndtype.base] * int(np.prod(ndtype.shape))
return [ndtype.base]
else:
types = []
for field in names:
info = ndtype.fields[field]
flat_dt = flatten_dtype(info[0], flatten_base)
types.extend(flat_dt)
return types
class LineSplitter:
"""
Object to split a string at a given delimiter or at given places.
Parameters
----------
delimiter : str, int, or sequence of ints, optional
If a string, character used to delimit consecutive fields.
If an integer or a sequence of integers, width(s) of each field.
comments : str, optional
Character used to mark the beginning of a comment. Default is '#'.
autostrip : bool, optional
Whether to strip each individual field. Default is True.
"""
def autostrip(self, method):
"""
Wrapper to strip each member of the output of `method`.
Parameters
----------
method : function
Function that takes a single argument and returns a sequence of
strings.
Returns
-------
wrapped : function
The result of wrapping `method`. `wrapped` takes a single input
argument and returns a list of strings that are stripped of
white-space.
"""
return lambda input: [_.strip() for _ in method(input)]
def __init__(self, delimiter=None, comments='#', autostrip=True,
encoding=None):
delimiter = _decode_line(delimiter)
comments = _decode_line(comments)
self.comments = comments
# Delimiter is a character
if (delimiter is None) or isinstance(delimiter, str):
delimiter = delimiter or None
_handyman = self._delimited_splitter
# Delimiter is a list of field widths
elif hasattr(delimiter, '__iter__'):
_handyman = self._variablewidth_splitter
idx = np.cumsum([0] + list(delimiter))
delimiter = [slice(i, j) for (i, j) in zip(idx[:-1], idx[1:])]
# Delimiter is a single integer
elif int(delimiter):
(_handyman, delimiter) = (
self._fixedwidth_splitter, int(delimiter))
else:
(_handyman, delimiter) = (self._delimited_splitter, None)
self.delimiter = delimiter
if autostrip:
self._handyman = self.autostrip(_handyman)
else:
self._handyman = _handyman
self.encoding = encoding
def _delimited_splitter(self, line):
"""Chop off comments, strip, and split at delimiter. """
if self.comments is not None:
line = line.split(self.comments)[0]
line = line.strip(" \r\n")
if not line:
return []
return line.split(self.delimiter)
def _fixedwidth_splitter(self, line):
if self.comments is not None:
line = line.split(self.comments)[0]
line = line.strip("\r\n")
if not line:
return []
fixed = self.delimiter
slices = [slice(i, i + fixed) for i in range(0, len(line), fixed)]
return [line[s] for s in slices]
def _variablewidth_splitter(self, line):
if self.comments is not None:
line = line.split(self.comments)[0]
if not line:
return []
slices = self.delimiter
return [line[s] for s in slices]
def __call__(self, line):
return self._handyman(_decode_line(line, self.encoding))
class NameValidator:
"""
Object to validate a list of strings to use as field names.
The strings are stripped of any non alphanumeric character, and spaces
are replaced by '_'. During instantiation, the user can define a list
of names to exclude, as well as a list of invalid characters. Names in
the exclusion list are appended a '_' character.
Once an instance has been created, it can be called with a list of
names, and a list of valid names will be created. The `__call__`
method accepts an optional keyword "default" that sets the default name
in case of ambiguity. By default this is 'f', so that names will
default to `f0`, `f1`, etc.
Parameters
----------
excludelist : sequence, optional
A list of names to exclude. This list is appended to the default
list ['return', 'file', 'print']. Excluded names are appended an
underscore: for example, `file` becomes `file_` if supplied.
deletechars : str, optional
A string combining invalid characters that must be deleted from the
names.
case_sensitive : {True, False, 'upper', 'lower'}, optional
* If True, field names are case-sensitive.
* If False or 'upper', field names are converted to upper case.
* If 'lower', field names are converted to lower case.
The default value is True.
replace_space : '_', optional
Character(s) used in replacement of white spaces.
Notes
-----
Calling an instance of `NameValidator` is the same as calling its
method `validate`.
Examples
--------
>>> validator = np.lib._iotools.NameValidator()
>>> validator(['file', 'field2', 'with space', 'CaSe'])
('file_', 'field2', 'with_space', 'CaSe')
>>> validator = np.lib._iotools.NameValidator(excludelist=['excl'],
... deletechars='q',
... case_sensitive=False)
>>> validator(['excl', 'field2', 'no_q', 'with space', 'CaSe'])
('EXCL', 'FIELD2', 'NO_Q', 'WITH_SPACE', 'CASE')
"""
defaultexcludelist = ['return', 'file', 'print']
defaultdeletechars = set(r"""~!@#$%^&*()-=+~\|]}[{';: /?.>,<""")
def __init__(self, excludelist=None, deletechars=None,
case_sensitive=None, replace_space='_'):
# Process the exclusion list ..
if excludelist is None:
excludelist = []
excludelist.extend(self.defaultexcludelist)
self.excludelist = excludelist
# Process the list of characters to delete
if deletechars is None:
delete = self.defaultdeletechars
else:
delete = set(deletechars)
delete.add('"')
self.deletechars = delete
# Process the case option .....
if (case_sensitive is None) or (case_sensitive is True):
self.case_converter = lambda x: x
elif (case_sensitive is False) or case_sensitive.startswith('u'):
self.case_converter = lambda x: x.upper()
elif case_sensitive.startswith('l'):
self.case_converter = lambda x: x.lower()
else:
msg = 'unrecognized case_sensitive value %s.' % case_sensitive
raise ValueError(msg)
self.replace_space = replace_space
def validate(self, names, defaultfmt="f%i", nbfields=None):
"""
Validate a list of strings as field names for a structured array.
Parameters
----------
names : sequence of str
Strings to be validated.
defaultfmt : str, optional
Default format string, used if validating a given string
reduces its length to zero.
nbfields : integer, optional
Final number of validated names, used to expand or shrink the
initial list of names.
Returns
-------
validatednames : list of str
The list of validated field names.
Notes
-----
A `NameValidator` instance can be called directly, which is the
same as calling `validate`. For examples, see `NameValidator`.
"""
# Initial checks ..............
if (names is None):
if (nbfields is None):
return None
names = []
if isinstance(names, str):
names = [names, ]
if nbfields is not None:
nbnames = len(names)
if (nbnames < nbfields):
names = list(names) + [''] * (nbfields - nbnames)
elif (nbnames > nbfields):
names = names[:nbfields]
# Set some shortcuts ...........
deletechars = self.deletechars
excludelist = self.excludelist
case_converter = self.case_converter
replace_space = self.replace_space
# Initializes some variables ...
validatednames = []
seen = dict()
nbempty = 0
for item in names:
item = case_converter(item).strip()
if replace_space:
item = item.replace(' ', replace_space)
item = ''.join([c for c in item if c not in deletechars])
if item == '':
item = defaultfmt % nbempty
while item in names:
nbempty += 1
item = defaultfmt % nbempty
nbempty += 1
elif item in excludelist:
item += '_'
cnt = seen.get(item, 0)
if cnt > 0:
validatednames.append(item + '_%d' % cnt)
else:
validatednames.append(item)
seen[item] = cnt + 1
return tuple(validatednames)
def __call__(self, names, defaultfmt="f%i", nbfields=None):
return self.validate(names, defaultfmt=defaultfmt, nbfields=nbfields)
def str2bool(value):
"""
Tries to transform a string supposed to represent a boolean to a boolean.
Parameters
----------
value : str
The string that is transformed to a boolean.
Returns
-------
boolval : bool
The boolean representation of `value`.
Raises
------
ValueError
If the string is not 'True' or 'False' (case independent)
Examples
--------
>>> np.lib._iotools.str2bool('TRUE')
True
>>> np.lib._iotools.str2bool('false')
False
"""
value = value.upper()
if value == 'TRUE':
return True
elif value == 'FALSE':
return False
else:
raise ValueError("Invalid boolean")
class ConverterError(Exception):
"""
Exception raised when an error occurs in a converter for string values.
"""
pass
class ConverterLockError(ConverterError):
"""
Exception raised when an attempt is made to upgrade a locked converter.
"""
pass
class ConversionWarning(UserWarning):
"""
Warning issued when a string converter has a problem.
Notes
-----
In `genfromtxt` a `ConversionWarning` is issued if raising exceptions
is explicitly suppressed with the "invalid_raise" keyword.
"""
pass
class StringConverter:
"""
Factory class for function transforming a string into another object
(int, float).
After initialization, an instance can be called to transform a string
into another object. If the string is recognized as representing a
missing value, a default value is returned.
Attributes
----------
func : function
Function used for the conversion.
default : any
Default value to return when the input corresponds to a missing
value.
type : type
Type of the output.
_status : int
Integer representing the order of the conversion.
_mapper : sequence of tuples
Sequence of tuples (dtype, function, default value) to evaluate in
order.
_locked : bool
Holds `locked` parameter.
Parameters
----------
dtype_or_func : {None, dtype, function}, optional
If a `dtype`, specifies the input data type, used to define a basic
function and a default value for missing data. For example, when
`dtype` is float, the `func` attribute is set to `float` and the
default value to `np.nan`. If a function, this function is used to
convert a string to another object. In this case, it is recommended
to give an associated default value as input.
default : any, optional
Value to return by default, that is, when the string to be
converted is flagged as missing. If not given, `StringConverter`
tries to supply a reasonable default value.
missing_values : {None, sequence of str}, optional
``None`` or sequence of strings indicating a missing value. If ``None``
then missing values are indicated by empty entries. The default is
``None``.
locked : bool, optional
Whether the StringConverter should be locked to prevent automatic
upgrade or not. Default is False.
"""
_mapper = [(nx.bool_, str2bool, False),
(nx.int_, int, -1),]
# On 32-bit systems, we need to make sure that we explicitly include
# nx.int64 since ns.int_ is nx.int32.
if nx.dtype(nx.int_).itemsize < nx.dtype(nx.int64).itemsize:
_mapper.append((nx.int64, int, -1))
_mapper.extend([(nx.float64, float, nx.nan),
(nx.complex128, complex, nx.nan + 0j),
(nx.longdouble, nx.longdouble, nx.nan),
# If a non-default dtype is passed, fall back to generic
# ones (should only be used for the converter)
(nx.integer, int, -1),
(nx.floating, float, nx.nan),
(nx.complexfloating, complex, nx.nan + 0j),
# Last, try with the string types (must be last, because
# `_mapper[-1]` is used as default in some cases)
(nx.str_, asunicode, '???'),
(nx.bytes_, asbytes, '???'),
])
@classmethod
def _getdtype(cls, val):
"""Returns the dtype of the input variable."""
return np.array(val).dtype
@classmethod
def _getsubdtype(cls, val):
"""Returns the type of the dtype of the input variable."""
return np.array(val).dtype.type
@classmethod
def _dtypeortype(cls, dtype):
"""Returns dtype for datetime64 and type of dtype otherwise."""
# This is a bit annoying. We want to return the "general" type in most
# cases (ie. "string" rather than "S10"), but we want to return the
# specific type for datetime64 (ie. "datetime64[us]" rather than
# "datetime64").
if dtype.type == np.datetime64:
return dtype
return dtype.type
@classmethod
def upgrade_mapper(cls, func, default=None):
"""
Upgrade the mapper of a StringConverter by adding a new function and
its corresponding default.
The input function (or sequence of functions) and its associated
default value (if any) is inserted in penultimate position of the
mapper. The corresponding type is estimated from the dtype of the
default value.
Parameters
----------
func : var
Function, or sequence of functions
Examples
--------
>>> import dateutil.parser
>>> import datetime
>>> dateparser = dateutil.parser.parse
>>> defaultdate = datetime.date(2000, 1, 1)
>>> StringConverter.upgrade_mapper(dateparser, default=defaultdate)
"""
# Func is a single functions
if hasattr(func, '__call__'):
cls._mapper.insert(-1, (cls._getsubdtype(default), func, default))
return
elif hasattr(func, '__iter__'):
if isinstance(func[0], (tuple, list)):
for _ in func:
cls._mapper.insert(-1, _)
return
if default is None:
default = [None] * len(func)
else:
default = list(default)
default.append([None] * (len(func) - len(default)))
for fct, dft in zip(func, default):
cls._mapper.insert(-1, (cls._getsubdtype(dft), fct, dft))
@classmethod
def _find_map_entry(cls, dtype):
# if a converter for the specific dtype is available use that
for i, (deftype, func, default_def) in enumerate(cls._mapper):
if dtype.type == deftype:
return i, (deftype, func, default_def)
# otherwise find an inexact match
for i, (deftype, func, default_def) in enumerate(cls._mapper):
if np.issubdtype(dtype.type, deftype):
return i, (deftype, func, default_def)
raise LookupError
def __init__(self, dtype_or_func=None, default=None, missing_values=None,
locked=False):
# Defines a lock for upgrade
self._locked = bool(locked)
# No input dtype: minimal initialization
if dtype_or_func is None:
self.func = str2bool
self._status = 0
self.default = default or False
dtype = np.dtype('bool')
else:
# Is the input a np.dtype ?
try:
self.func = None
dtype = np.dtype(dtype_or_func)
except TypeError:
# dtype_or_func must be a function, then
if not hasattr(dtype_or_func, '__call__'):
errmsg = ("The input argument `dtype` is neither a"
" function nor a dtype (got '%s' instead)")
raise TypeError(errmsg % type(dtype_or_func))
# Set the function
self.func = dtype_or_func
# If we don't have a default, try to guess it or set it to
# None
if default is None:
try:
default = self.func('0')
except ValueError:
default = None
dtype = self._getdtype(default)
# find the best match in our mapper
try:
self._status, (_, func, default_def) = self._find_map_entry(dtype)
except LookupError:
# no match
self.default = default
_, func, _ = self._mapper[-1]
self._status = 0
else:
# use the found default only if we did not already have one
if default is None:
self.default = default_def
else:
self.default = default
# If the input was a dtype, set the function to the last we saw
if self.func is None:
self.func = func
# If the status is 1 (int), change the function to
# something more robust.
if self.func == self._mapper[1][1]:
if issubclass(dtype.type, np.uint64):
self.func = np.uint64
elif issubclass(dtype.type, np.int64):
self.func = np.int64
else:
self.func = lambda x: int(float(x))
# Store the list of strings corresponding to missing values.
if missing_values is None:
self.missing_values = {''}
else:
if isinstance(missing_values, str):
missing_values = missing_values.split(",")
self.missing_values = set(list(missing_values) + [''])
self._callingfunction = self._strict_call
self.type = self._dtypeortype(dtype)
self._checked = False
self._initial_default = default
def _loose_call(self, value):
try:
return self.func(value)
except ValueError:
return self.default
def _strict_call(self, value):
try:
# We check if we can convert the value using the current function
new_value = self.func(value)
# In addition to having to check whether func can convert the
# value, we also have to make sure that we don't get overflow
# errors for integers.
if self.func is int:
try:
np.array(value, dtype=self.type)
except OverflowError:
raise ValueError
# We're still here so we can now return the new value
return new_value
except ValueError:
if value.strip() in self.missing_values:
if not self._status:
self._checked = False
return self.default
raise ValueError("Cannot convert string '%s'" % value)
def __call__(self, value):
return self._callingfunction(value)
def _do_upgrade(self):
# Raise an exception if we locked the converter...
if self._locked:
errmsg = "Converter is locked and cannot be upgraded"
raise ConverterLockError(errmsg)
_statusmax = len(self._mapper)
# Complains if we try to upgrade by the maximum
_status = self._status
if _status == _statusmax:
errmsg = "Could not find a valid conversion function"
raise ConverterError(errmsg)
elif _status < _statusmax - 1:
_status += 1
self.type, self.func, default = self._mapper[_status]
self._status = _status
if self._initial_default is not None:
self.default = self._initial_default
else:
self.default = default
def upgrade(self, value):
"""
Find the best converter for a given string, and return the result.
The supplied string `value` is converted by testing different
converters in order. First the `func` method of the
`StringConverter` instance is tried, if this fails other available
converters are tried. The order in which these other converters
are tried is determined by the `_status` attribute of the instance.
Parameters
----------
value : str
The string to convert.
Returns
-------
out : any
The result of converting `value` with the appropriate converter.
"""
self._checked = True
try:
return self._strict_call(value)
except ValueError:
self._do_upgrade()
return self.upgrade(value)
def iterupgrade(self, value):
self._checked = True
if not hasattr(value, '__iter__'):
value = (value,)
_strict_call = self._strict_call
try:
for _m in value:
_strict_call(_m)
except ValueError:
self._do_upgrade()
self.iterupgrade(value)
def update(self, func, default=None, testing_value=None,
missing_values='', locked=False):
"""
Set StringConverter attributes directly.
Parameters
----------
func : function
Conversion function.
default : any, optional
Value to return by default, that is, when the string to be
converted is flagged as missing. If not given,
`StringConverter` tries to supply a reasonable default value.
testing_value : str, optional
A string representing a standard input value of the converter.
This string is used to help defining a reasonable default
value.
missing_values : {sequence of str, None}, optional
Sequence of strings indicating a missing value. If ``None``, then
the existing `missing_values` are cleared. The default is `''`.
locked : bool, optional
Whether the StringConverter should be locked to prevent
automatic upgrade or not. Default is False.
Notes
-----
`update` takes the same parameters as the constructor of
`StringConverter`, except that `func` does not accept a `dtype`
whereas `dtype_or_func` in the constructor does.
"""
self.func = func
self._locked = locked
# Don't reset the default to None if we can avoid it
if default is not None:
self.default = default
self.type = self._dtypeortype(self._getdtype(default))
else:
try:
tester = func(testing_value or '1')
except (TypeError, ValueError):
tester = None
self.type = self._dtypeortype(self._getdtype(tester))
# Add the missing values to the existing set or clear it.
if missing_values is None:
# Clear all missing values even though the ctor initializes it to
# set(['']) when the argument is None.
self.missing_values = set()
else:
if not np.iterable(missing_values):
missing_values = [missing_values]
if not all(isinstance(v, str) for v in missing_values):
raise TypeError("missing_values must be strings or unicode")
self.missing_values.update(missing_values)
def easy_dtype(ndtype, names=None, defaultfmt="f%i", **validationargs):
"""
Convenience function to create a `np.dtype` object.
The function processes the input `dtype` and matches it with the given
names.
Parameters
----------
ndtype : var
Definition of the dtype. Can be any string or dictionary recognized
by the `np.dtype` function, or a sequence of types.
names : str or sequence, optional
Sequence of strings to use as field names for a structured dtype.
For convenience, `names` can be a string of a comma-separated list
of names.
defaultfmt : str, optional
Format string used to define missing names, such as ``"f%i"``
(default) or ``"fields_%02i"``.
validationargs : optional
A series of optional arguments used to initialize a
`NameValidator`.
Examples
--------
>>> np.lib._iotools.easy_dtype(float)
dtype('float64')
>>> np.lib._iotools.easy_dtype("i4, f8")
dtype([('f0', '<i4'), ('f1', '<f8')])
>>> np.lib._iotools.easy_dtype("i4, f8", defaultfmt="field_%03i")
dtype([('field_000', '<i4'), ('field_001', '<f8')])
>>> np.lib._iotools.easy_dtype((int, float, float), names="a,b,c")
dtype([('a', '<i8'), ('b', '<f8'), ('c', '<f8')])
>>> np.lib._iotools.easy_dtype(float, names="a,b,c")
dtype([('a', '<f8'), ('b', '<f8'), ('c', '<f8')])
"""
try:
ndtype = np.dtype(ndtype)
except TypeError:
validate = NameValidator(**validationargs)
nbfields = len(ndtype)
if names is None:
names = [''] * len(ndtype)
elif isinstance(names, str):
names = names.split(",")
names = validate(names, nbfields=nbfields, defaultfmt=defaultfmt)
ndtype = np.dtype(dict(formats=ndtype, names=names))
else:
# Explicit names
if names is not None:
validate = NameValidator(**validationargs)
if isinstance(names, str):
names = names.split(",")
# Simple dtype: repeat to match the nb of names
if ndtype.names is None:
formats = tuple([ndtype.type] * len(names))
names = validate(names, defaultfmt=defaultfmt)
ndtype = np.dtype(list(zip(names, formats)))
# Structured dtype: just validate the names as needed
else:
ndtype.names = validate(names, nbfields=len(ndtype.names),
defaultfmt=defaultfmt)
# No implicit names
elif ndtype.names is not None:
validate = NameValidator(**validationargs)
# Default initial names : should we change the format ?
numbered_names = tuple("f%i" % i for i in range(len(ndtype.names)))
if ((ndtype.names == numbered_names) and (defaultfmt != "f%i")):
ndtype.names = validate([''] * len(ndtype.names),
defaultfmt=defaultfmt)
# Explicit initial names : just validate
else:
ndtype.names = validate(ndtype.names, defaultfmt=defaultfmt)
return ndtype
@@ -0,0 +1,155 @@
"""Utility to compare (NumPy) version strings.
The NumpyVersion class allows properly comparing numpy version strings.
The LooseVersion and StrictVersion classes that distutils provides don't
work; they don't recognize anything like alpha/beta/rc/dev versions.
"""
import re
__all__ = ['NumpyVersion']
class NumpyVersion():
"""Parse and compare numpy version strings.
NumPy has the following versioning scheme (numbers given are examples; they
can be > 9 in principle):
- Released version: '1.8.0', '1.8.1', etc.
- Alpha: '1.8.0a1', '1.8.0a2', etc.
- Beta: '1.8.0b1', '1.8.0b2', etc.
- Release candidates: '1.8.0rc1', '1.8.0rc2', etc.
- Development versions: '1.8.0.dev-f1234afa' (git commit hash appended)
- Development versions after a1: '1.8.0a1.dev-f1234afa',
'1.8.0b2.dev-f1234afa',
'1.8.1rc1.dev-f1234afa', etc.
- Development versions (no git hash available): '1.8.0.dev-Unknown'
Comparing needs to be done against a valid version string or other
`NumpyVersion` instance. Note that all development versions of the same
(pre-)release compare equal.
.. versionadded:: 1.9.0
Parameters
----------
vstring : str
NumPy version string (``np.__version__``).
Examples
--------
>>> from numpy.lib import NumpyVersion
>>> if NumpyVersion(np.__version__) < '1.7.0':
... print('skip')
>>> # skip
>>> NumpyVersion('1.7') # raises ValueError, add ".0"
Traceback (most recent call last):
...
ValueError: Not a valid numpy version string
"""
def __init__(self, vstring):
self.vstring = vstring
ver_main = re.match(r'\d+\.\d+\.\d+', vstring)
if not ver_main:
raise ValueError("Not a valid numpy version string")
self.version = ver_main.group()
self.major, self.minor, self.bugfix = [int(x) for x in
self.version.split('.')]
if len(vstring) == ver_main.end():
self.pre_release = 'final'
else:
alpha = re.match(r'a\d', vstring[ver_main.end():])
beta = re.match(r'b\d', vstring[ver_main.end():])
rc = re.match(r'rc\d', vstring[ver_main.end():])
pre_rel = [m for m in [alpha, beta, rc] if m is not None]
if pre_rel:
self.pre_release = pre_rel[0].group()
else:
self.pre_release = ''
self.is_devversion = bool(re.search(r'.dev', vstring))
def _compare_version(self, other):
"""Compare major.minor.bugfix"""
if self.major == other.major:
if self.minor == other.minor:
if self.bugfix == other.bugfix:
vercmp = 0
elif self.bugfix > other.bugfix:
vercmp = 1
else:
vercmp = -1
elif self.minor > other.minor:
vercmp = 1
else:
vercmp = -1
elif self.major > other.major:
vercmp = 1
else:
vercmp = -1
return vercmp
def _compare_pre_release(self, other):
"""Compare alpha/beta/rc/final."""
if self.pre_release == other.pre_release:
vercmp = 0
elif self.pre_release == 'final':
vercmp = 1
elif other.pre_release == 'final':
vercmp = -1
elif self.pre_release > other.pre_release:
vercmp = 1
else:
vercmp = -1
return vercmp
def _compare(self, other):
if not isinstance(other, (str, NumpyVersion)):
raise ValueError("Invalid object to compare with NumpyVersion.")
if isinstance(other, str):
other = NumpyVersion(other)
vercmp = self._compare_version(other)
if vercmp == 0:
# Same x.y.z version, check for alpha/beta/rc
vercmp = self._compare_pre_release(other)
if vercmp == 0:
# Same version and same pre-release, check if dev version
if self.is_devversion is other.is_devversion:
vercmp = 0
elif self.is_devversion:
vercmp = -1
else:
vercmp = 1
return vercmp
def __lt__(self, other):
return self._compare(other) < 0
def __le__(self, other):
return self._compare(other) <= 0
def __eq__(self, other):
return self._compare(other) == 0
def __ne__(self, other):
return self._compare(other) != 0
def __gt__(self, other):
return self._compare(other) > 0
def __ge__(self, other):
return self._compare(other) >= 0
def __repr__(self):
return "NumpyVersion(%s)" % self.vstring
@@ -0,0 +1,17 @@
__all__: list[str]
class NumpyVersion:
vstring: str
version: str
major: int
minor: int
bugfix: int
pre_release: str
is_devversion: bool
def __init__(self, vstring: str) -> None: ...
def __lt__(self, other: str | NumpyVersion) -> bool: ...
def __le__(self, other: str | NumpyVersion) -> bool: ...
def __eq__(self, other: str | NumpyVersion) -> bool: ... # type: ignore[override]
def __ne__(self, other: str | NumpyVersion) -> bool: ... # type: ignore[override]
def __gt__(self, other: str | NumpyVersion) -> bool: ...
def __ge__(self, other: str | NumpyVersion) -> bool: ...
@@ -0,0 +1,882 @@
"""
The arraypad module contains a group of functions to pad values onto the edges
of an n-dimensional array.
"""
import numpy as np
from numpy.core.overrides import array_function_dispatch
from numpy.lib.index_tricks import ndindex
__all__ = ['pad']
###############################################################################
# Private utility functions.
def _round_if_needed(arr, dtype):
"""
Rounds arr inplace if destination dtype is integer.
Parameters
----------
arr : ndarray
Input array.
dtype : dtype
The dtype of the destination array.
"""
if np.issubdtype(dtype, np.integer):
arr.round(out=arr)
def _slice_at_axis(sl, axis):
"""
Construct tuple of slices to slice an array in the given dimension.
Parameters
----------
sl : slice
The slice for the given dimension.
axis : int
The axis to which `sl` is applied. All other dimensions are left
"unsliced".
Returns
-------
sl : tuple of slices
A tuple with slices matching `shape` in length.
Examples
--------
>>> _slice_at_axis(slice(None, 3, -1), 1)
(slice(None, None, None), slice(None, 3, -1), (...,))
"""
return (slice(None),) * axis + (sl,) + (...,)
def _view_roi(array, original_area_slice, axis):
"""
Get a view of the current region of interest during iterative padding.
When padding multiple dimensions iteratively corner values are
unnecessarily overwritten multiple times. This function reduces the
working area for the first dimensions so that corners are excluded.
Parameters
----------
array : ndarray
The array with the region of interest.
original_area_slice : tuple of slices
Denotes the area with original values of the unpadded array.
axis : int
The currently padded dimension assuming that `axis` is padded before
`axis` + 1.
Returns
-------
roi : ndarray
The region of interest of the original `array`.
"""
axis += 1
sl = (slice(None),) * axis + original_area_slice[axis:]
return array[sl]
def _pad_simple(array, pad_width, fill_value=None):
"""
Pad array on all sides with either a single value or undefined values.
Parameters
----------
array : ndarray
Array to grow.
pad_width : sequence of tuple[int, int]
Pad width on both sides for each dimension in `arr`.
fill_value : scalar, optional
If provided the padded area is filled with this value, otherwise
the pad area left undefined.
Returns
-------
padded : ndarray
The padded array with the same dtype as`array`. Its order will default
to C-style if `array` is not F-contiguous.
original_area_slice : tuple
A tuple of slices pointing to the area of the original array.
"""
# Allocate grown array
new_shape = tuple(
left + size + right
for size, (left, right) in zip(array.shape, pad_width)
)
order = 'F' if array.flags.fnc else 'C' # Fortran and not also C-order
padded = np.empty(new_shape, dtype=array.dtype, order=order)
if fill_value is not None:
padded.fill(fill_value)
# Copy old array into correct space
original_area_slice = tuple(
slice(left, left + size)
for size, (left, right) in zip(array.shape, pad_width)
)
padded[original_area_slice] = array
return padded, original_area_slice
def _set_pad_area(padded, axis, width_pair, value_pair):
"""
Set empty-padded area in given dimension.
Parameters
----------
padded : ndarray
Array with the pad area which is modified inplace.
axis : int
Dimension with the pad area to set.
width_pair : (int, int)
Pair of widths that mark the pad area on both sides in the given
dimension.
value_pair : tuple of scalars or ndarrays
Values inserted into the pad area on each side. It must match or be
broadcastable to the shape of `arr`.
"""
left_slice = _slice_at_axis(slice(None, width_pair[0]), axis)
padded[left_slice] = value_pair[0]
right_slice = _slice_at_axis(
slice(padded.shape[axis] - width_pair[1], None), axis)
padded[right_slice] = value_pair[1]
def _get_edges(padded, axis, width_pair):
"""
Retrieve edge values from empty-padded array in given dimension.
Parameters
----------
padded : ndarray
Empty-padded array.
axis : int
Dimension in which the edges are considered.
width_pair : (int, int)
Pair of widths that mark the pad area on both sides in the given
dimension.
Returns
-------
left_edge, right_edge : ndarray
Edge values of the valid area in `padded` in the given dimension. Its
shape will always match `padded` except for the dimension given by
`axis` which will have a length of 1.
"""
left_index = width_pair[0]
left_slice = _slice_at_axis(slice(left_index, left_index + 1), axis)
left_edge = padded[left_slice]
right_index = padded.shape[axis] - width_pair[1]
right_slice = _slice_at_axis(slice(right_index - 1, right_index), axis)
right_edge = padded[right_slice]
return left_edge, right_edge
def _get_linear_ramps(padded, axis, width_pair, end_value_pair):
"""
Construct linear ramps for empty-padded array in given dimension.
Parameters
----------
padded : ndarray
Empty-padded array.
axis : int
Dimension in which the ramps are constructed.
width_pair : (int, int)
Pair of widths that mark the pad area on both sides in the given
dimension.
end_value_pair : (scalar, scalar)
End values for the linear ramps which form the edge of the fully padded
array. These values are included in the linear ramps.
Returns
-------
left_ramp, right_ramp : ndarray
Linear ramps to set on both sides of `padded`.
"""
edge_pair = _get_edges(padded, axis, width_pair)
left_ramp, right_ramp = (
np.linspace(
start=end_value,
stop=edge.squeeze(axis), # Dimension is replaced by linspace
num=width,
endpoint=False,
dtype=padded.dtype,
axis=axis
)
for end_value, edge, width in zip(
end_value_pair, edge_pair, width_pair
)
)
# Reverse linear space in appropriate dimension
right_ramp = right_ramp[_slice_at_axis(slice(None, None, -1), axis)]
return left_ramp, right_ramp
def _get_stats(padded, axis, width_pair, length_pair, stat_func):
"""
Calculate statistic for the empty-padded array in given dimension.
Parameters
----------
padded : ndarray
Empty-padded array.
axis : int
Dimension in which the statistic is calculated.
width_pair : (int, int)
Pair of widths that mark the pad area on both sides in the given
dimension.
length_pair : 2-element sequence of None or int
Gives the number of values in valid area from each side that is
taken into account when calculating the statistic. If None the entire
valid area in `padded` is considered.
stat_func : function
Function to compute statistic. The expected signature is
``stat_func(x: ndarray, axis: int, keepdims: bool) -> ndarray``.
Returns
-------
left_stat, right_stat : ndarray
Calculated statistic for both sides of `padded`.
"""
# Calculate indices of the edges of the area with original values
left_index = width_pair[0]
right_index = padded.shape[axis] - width_pair[1]
# as well as its length
max_length = right_index - left_index
# Limit stat_lengths to max_length
left_length, right_length = length_pair
if left_length is None or max_length < left_length:
left_length = max_length
if right_length is None or max_length < right_length:
right_length = max_length
if (left_length == 0 or right_length == 0) \
and stat_func in {np.amax, np.amin}:
# amax and amin can't operate on an empty array,
# raise a more descriptive warning here instead of the default one
raise ValueError("stat_length of 0 yields no value for padding")
# Calculate statistic for the left side
left_slice = _slice_at_axis(
slice(left_index, left_index + left_length), axis)
left_chunk = padded[left_slice]
left_stat = stat_func(left_chunk, axis=axis, keepdims=True)
_round_if_needed(left_stat, padded.dtype)
if left_length == right_length == max_length:
# return early as right_stat must be identical to left_stat
return left_stat, left_stat
# Calculate statistic for the right side
right_slice = _slice_at_axis(
slice(right_index - right_length, right_index), axis)
right_chunk = padded[right_slice]
right_stat = stat_func(right_chunk, axis=axis, keepdims=True)
_round_if_needed(right_stat, padded.dtype)
return left_stat, right_stat
def _set_reflect_both(padded, axis, width_pair, method, include_edge=False):
"""
Pad `axis` of `arr` with reflection.
Parameters
----------
padded : ndarray
Input array of arbitrary shape.
axis : int
Axis along which to pad `arr`.
width_pair : (int, int)
Pair of widths that mark the pad area on both sides in the given
dimension.
method : str
Controls method of reflection; options are 'even' or 'odd'.
include_edge : bool
If true, edge value is included in reflection, otherwise the edge
value forms the symmetric axis to the reflection.
Returns
-------
pad_amt : tuple of ints, length 2
New index positions of padding to do along the `axis`. If these are
both 0, padding is done in this dimension.
"""
left_pad, right_pad = width_pair
old_length = padded.shape[axis] - right_pad - left_pad
if include_edge:
# Edge is included, we need to offset the pad amount by 1
edge_offset = 1
else:
edge_offset = 0 # Edge is not included, no need to offset pad amount
old_length -= 1 # but must be omitted from the chunk
if left_pad > 0:
# Pad with reflected values on left side:
# First limit chunk size which can't be larger than pad area
chunk_length = min(old_length, left_pad)
# Slice right to left, stop on or next to edge, start relative to stop
stop = left_pad - edge_offset
start = stop + chunk_length
left_slice = _slice_at_axis(slice(start, stop, -1), axis)
left_chunk = padded[left_slice]
if method == "odd":
# Negate chunk and align with edge
edge_slice = _slice_at_axis(slice(left_pad, left_pad + 1), axis)
left_chunk = 2 * padded[edge_slice] - left_chunk
# Insert chunk into padded area
start = left_pad - chunk_length
stop = left_pad
pad_area = _slice_at_axis(slice(start, stop), axis)
padded[pad_area] = left_chunk
# Adjust pointer to left edge for next iteration
left_pad -= chunk_length
if right_pad > 0:
# Pad with reflected values on right side:
# First limit chunk size which can't be larger than pad area
chunk_length = min(old_length, right_pad)
# Slice right to left, start on or next to edge, stop relative to start
start = -right_pad + edge_offset - 2
stop = start - chunk_length
right_slice = _slice_at_axis(slice(start, stop, -1), axis)
right_chunk = padded[right_slice]
if method == "odd":
# Negate chunk and align with edge
edge_slice = _slice_at_axis(
slice(-right_pad - 1, -right_pad), axis)
right_chunk = 2 * padded[edge_slice] - right_chunk
# Insert chunk into padded area
start = padded.shape[axis] - right_pad
stop = start + chunk_length
pad_area = _slice_at_axis(slice(start, stop), axis)
padded[pad_area] = right_chunk
# Adjust pointer to right edge for next iteration
right_pad -= chunk_length
return left_pad, right_pad
def _set_wrap_both(padded, axis, width_pair, original_period):
"""
Pad `axis` of `arr` with wrapped values.
Parameters
----------
padded : ndarray
Input array of arbitrary shape.
axis : int
Axis along which to pad `arr`.
width_pair : (int, int)
Pair of widths that mark the pad area on both sides in the given
dimension.
original_period : int
Original length of data on `axis` of `arr`.
Returns
-------
pad_amt : tuple of ints, length 2
New index positions of padding to do along the `axis`. If these are
both 0, padding is done in this dimension.
"""
left_pad, right_pad = width_pair
period = padded.shape[axis] - right_pad - left_pad
# Avoid wrapping with only a subset of the original area by ensuring period
# can only be a multiple of the original area's length.
period = period // original_period * original_period
# If the current dimension of `arr` doesn't contain enough valid values
# (not part of the undefined pad area) we need to pad multiple times.
# Each time the pad area shrinks on both sides which is communicated with
# these variables.
new_left_pad = 0
new_right_pad = 0
if left_pad > 0:
# Pad with wrapped values on left side
# First slice chunk from left side of the non-pad area.
# Use min(period, left_pad) to ensure that chunk is not larger than
# pad area.
slice_end = left_pad + period
slice_start = slice_end - min(period, left_pad)
right_slice = _slice_at_axis(slice(slice_start, slice_end), axis)
right_chunk = padded[right_slice]
if left_pad > period:
# Chunk is smaller than pad area
pad_area = _slice_at_axis(slice(left_pad - period, left_pad), axis)
new_left_pad = left_pad - period
else:
# Chunk matches pad area
pad_area = _slice_at_axis(slice(None, left_pad), axis)
padded[pad_area] = right_chunk
if right_pad > 0:
# Pad with wrapped values on right side
# First slice chunk from right side of the non-pad area.
# Use min(period, right_pad) to ensure that chunk is not larger than
# pad area.
slice_start = -right_pad - period
slice_end = slice_start + min(period, right_pad)
left_slice = _slice_at_axis(slice(slice_start, slice_end), axis)
left_chunk = padded[left_slice]
if right_pad > period:
# Chunk is smaller than pad area
pad_area = _slice_at_axis(
slice(-right_pad, -right_pad + period), axis)
new_right_pad = right_pad - period
else:
# Chunk matches pad area
pad_area = _slice_at_axis(slice(-right_pad, None), axis)
padded[pad_area] = left_chunk
return new_left_pad, new_right_pad
def _as_pairs(x, ndim, as_index=False):
"""
Broadcast `x` to an array with the shape (`ndim`, 2).
A helper function for `pad` that prepares and validates arguments like
`pad_width` for iteration in pairs.
Parameters
----------
x : {None, scalar, array-like}
The object to broadcast to the shape (`ndim`, 2).
ndim : int
Number of pairs the broadcasted `x` will have.
as_index : bool, optional
If `x` is not None, try to round each element of `x` to an integer
(dtype `np.intp`) and ensure every element is positive.
Returns
-------
pairs : nested iterables, shape (`ndim`, 2)
The broadcasted version of `x`.
Raises
------
ValueError
If `as_index` is True and `x` contains negative elements.
Or if `x` is not broadcastable to the shape (`ndim`, 2).
"""
if x is None:
# Pass through None as a special case, otherwise np.round(x) fails
# with an AttributeError
return ((None, None),) * ndim
x = np.array(x)
if as_index:
x = np.round(x).astype(np.intp, copy=False)
if x.ndim < 3:
# Optimization: Possibly use faster paths for cases where `x` has
# only 1 or 2 elements. `np.broadcast_to` could handle these as well
# but is currently slower
if x.size == 1:
# x was supplied as a single value
x = x.ravel() # Ensure x[0] works for x.ndim == 0, 1, 2
if as_index and x < 0:
raise ValueError("index can't contain negative values")
return ((x[0], x[0]),) * ndim
if x.size == 2 and x.shape != (2, 1):
# x was supplied with a single value for each side
# but except case when each dimension has a single value
# which should be broadcasted to a pair,
# e.g. [[1], [2]] -> [[1, 1], [2, 2]] not [[1, 2], [1, 2]]
x = x.ravel() # Ensure x[0], x[1] works
if as_index and (x[0] < 0 or x[1] < 0):
raise ValueError("index can't contain negative values")
return ((x[0], x[1]),) * ndim
if as_index and x.min() < 0:
raise ValueError("index can't contain negative values")
# Converting the array with `tolist` seems to improve performance
# when iterating and indexing the result (see usage in `pad`)
return np.broadcast_to(x, (ndim, 2)).tolist()
def _pad_dispatcher(array, pad_width, mode=None, **kwargs):
return (array,)
###############################################################################
# Public functions
@array_function_dispatch(_pad_dispatcher, module='numpy')
def pad(array, pad_width, mode='constant', **kwargs):
"""
Pad an array.
Parameters
----------
array : array_like of rank N
The array to pad.
pad_width : {sequence, array_like, int}
Number of values padded to the edges of each axis.
``((before_1, after_1), ... (before_N, after_N))`` unique pad widths
for each axis.
``(before, after)`` or ``((before, after),)`` yields same before
and after pad for each axis.
``(pad,)`` or ``int`` is a shortcut for before = after = pad width
for all axes.
mode : str or function, optional
One of the following string values or a user supplied function.
'constant' (default)
Pads with a constant value.
'edge'
Pads with the edge values of array.
'linear_ramp'
Pads with the linear ramp between end_value and the
array edge value.
'maximum'
Pads with the maximum value of all or part of the
vector along each axis.
'mean'
Pads with the mean value of all or part of the
vector along each axis.
'median'
Pads with the median value of all or part of the
vector along each axis.
'minimum'
Pads with the minimum value of all or part of the
vector along each axis.
'reflect'
Pads with the reflection of the vector mirrored on
the first and last values of the vector along each
axis.
'symmetric'
Pads with the reflection of the vector mirrored
along the edge of the array.
'wrap'
Pads with the wrap of the vector along the axis.
The first values are used to pad the end and the
end values are used to pad the beginning.
'empty'
Pads with undefined values.
.. versionadded:: 1.17
<function>
Padding function, see Notes.
stat_length : sequence or int, optional
Used in 'maximum', 'mean', 'median', and 'minimum'. Number of
values at edge of each axis used to calculate the statistic value.
``((before_1, after_1), ... (before_N, after_N))`` unique statistic
lengths for each axis.
``(before, after)`` or ``((before, after),)`` yields same before
and after statistic lengths for each axis.
``(stat_length,)`` or ``int`` is a shortcut for
``before = after = statistic`` length for all axes.
Default is ``None``, to use the entire axis.
constant_values : sequence or scalar, optional
Used in 'constant'. The values to set the padded values for each
axis.
``((before_1, after_1), ... (before_N, after_N))`` unique pad constants
for each axis.
``(before, after)`` or ``((before, after),)`` yields same before
and after constants for each axis.
``(constant,)`` or ``constant`` is a shortcut for
``before = after = constant`` for all axes.
Default is 0.
end_values : sequence or scalar, optional
Used in 'linear_ramp'. The values used for the ending value of the
linear_ramp and that will form the edge of the padded array.
``((before_1, after_1), ... (before_N, after_N))`` unique end values
for each axis.
``(before, after)`` or ``((before, after),)`` yields same before
and after end values for each axis.
``(constant,)`` or ``constant`` is a shortcut for
``before = after = constant`` for all axes.
Default is 0.
reflect_type : {'even', 'odd'}, optional
Used in 'reflect', and 'symmetric'. The 'even' style is the
default with an unaltered reflection around the edge value. For
the 'odd' style, the extended part of the array is created by
subtracting the reflected values from two times the edge value.
Returns
-------
pad : ndarray
Padded array of rank equal to `array` with shape increased
according to `pad_width`.
Notes
-----
.. versionadded:: 1.7.0
For an array with rank greater than 1, some of the padding of later
axes is calculated from padding of previous axes. This is easiest to
think about with a rank 2 array where the corners of the padded array
are calculated by using padded values from the first axis.
The padding function, if used, should modify a rank 1 array in-place. It
has the following signature::
padding_func(vector, iaxis_pad_width, iaxis, kwargs)
where
vector : ndarray
A rank 1 array already padded with zeros. Padded values are
vector[:iaxis_pad_width[0]] and vector[-iaxis_pad_width[1]:].
iaxis_pad_width : tuple
A 2-tuple of ints, iaxis_pad_width[0] represents the number of
values padded at the beginning of vector where
iaxis_pad_width[1] represents the number of values padded at
the end of vector.
iaxis : int
The axis currently being calculated.
kwargs : dict
Any keyword arguments the function requires.
Examples
--------
>>> a = [1, 2, 3, 4, 5]
>>> np.pad(a, (2, 3), 'constant', constant_values=(4, 6))
array([4, 4, 1, ..., 6, 6, 6])
>>> np.pad(a, (2, 3), 'edge')
array([1, 1, 1, ..., 5, 5, 5])
>>> np.pad(a, (2, 3), 'linear_ramp', end_values=(5, -4))
array([ 5, 3, 1, 2, 3, 4, 5, 2, -1, -4])
>>> np.pad(a, (2,), 'maximum')
array([5, 5, 1, 2, 3, 4, 5, 5, 5])
>>> np.pad(a, (2,), 'mean')
array([3, 3, 1, 2, 3, 4, 5, 3, 3])
>>> np.pad(a, (2,), 'median')
array([3, 3, 1, 2, 3, 4, 5, 3, 3])
>>> a = [[1, 2], [3, 4]]
>>> np.pad(a, ((3, 2), (2, 3)), 'minimum')
array([[1, 1, 1, 2, 1, 1, 1],
[1, 1, 1, 2, 1, 1, 1],
[1, 1, 1, 2, 1, 1, 1],
[1, 1, 1, 2, 1, 1, 1],
[3, 3, 3, 4, 3, 3, 3],
[1, 1, 1, 2, 1, 1, 1],
[1, 1, 1, 2, 1, 1, 1]])
>>> a = [1, 2, 3, 4, 5]
>>> np.pad(a, (2, 3), 'reflect')
array([3, 2, 1, 2, 3, 4, 5, 4, 3, 2])
>>> np.pad(a, (2, 3), 'reflect', reflect_type='odd')
array([-1, 0, 1, 2, 3, 4, 5, 6, 7, 8])
>>> np.pad(a, (2, 3), 'symmetric')
array([2, 1, 1, 2, 3, 4, 5, 5, 4, 3])
>>> np.pad(a, (2, 3), 'symmetric', reflect_type='odd')
array([0, 1, 1, 2, 3, 4, 5, 5, 6, 7])
>>> np.pad(a, (2, 3), 'wrap')
array([4, 5, 1, 2, 3, 4, 5, 1, 2, 3])
>>> def pad_with(vector, pad_width, iaxis, kwargs):
... pad_value = kwargs.get('padder', 10)
... vector[:pad_width[0]] = pad_value
... vector[-pad_width[1]:] = pad_value
>>> a = np.arange(6)
>>> a = a.reshape((2, 3))
>>> np.pad(a, 2, pad_with)
array([[10, 10, 10, 10, 10, 10, 10],
[10, 10, 10, 10, 10, 10, 10],
[10, 10, 0, 1, 2, 10, 10],
[10, 10, 3, 4, 5, 10, 10],
[10, 10, 10, 10, 10, 10, 10],
[10, 10, 10, 10, 10, 10, 10]])
>>> np.pad(a, 2, pad_with, padder=100)
array([[100, 100, 100, 100, 100, 100, 100],
[100, 100, 100, 100, 100, 100, 100],
[100, 100, 0, 1, 2, 100, 100],
[100, 100, 3, 4, 5, 100, 100],
[100, 100, 100, 100, 100, 100, 100],
[100, 100, 100, 100, 100, 100, 100]])
"""
array = np.asarray(array)
pad_width = np.asarray(pad_width)
if not pad_width.dtype.kind == 'i':
raise TypeError('`pad_width` must be of integral type.')
# Broadcast to shape (array.ndim, 2)
pad_width = _as_pairs(pad_width, array.ndim, as_index=True)
if callable(mode):
# Old behavior: Use user-supplied function with np.apply_along_axis
function = mode
# Create a new zero padded array
padded, _ = _pad_simple(array, pad_width, fill_value=0)
# And apply along each axis
for axis in range(padded.ndim):
# Iterate using ndindex as in apply_along_axis, but assuming that
# function operates inplace on the padded array.
# view with the iteration axis at the end
view = np.moveaxis(padded, axis, -1)
# compute indices for the iteration axes, and append a trailing
# ellipsis to prevent 0d arrays decaying to scalars (gh-8642)
inds = ndindex(view.shape[:-1])
inds = (ind + (Ellipsis,) for ind in inds)
for ind in inds:
function(view[ind], pad_width[axis], axis, kwargs)
return padded
# Make sure that no unsupported keywords were passed for the current mode
allowed_kwargs = {
'empty': [], 'edge': [], 'wrap': [],
'constant': ['constant_values'],
'linear_ramp': ['end_values'],
'maximum': ['stat_length'],
'mean': ['stat_length'],
'median': ['stat_length'],
'minimum': ['stat_length'],
'reflect': ['reflect_type'],
'symmetric': ['reflect_type'],
}
try:
unsupported_kwargs = set(kwargs) - set(allowed_kwargs[mode])
except KeyError:
raise ValueError("mode '{}' is not supported".format(mode)) from None
if unsupported_kwargs:
raise ValueError("unsupported keyword arguments for mode '{}': {}"
.format(mode, unsupported_kwargs))
stat_functions = {"maximum": np.amax, "minimum": np.amin,
"mean": np.mean, "median": np.median}
# Create array with final shape and original values
# (padded area is undefined)
padded, original_area_slice = _pad_simple(array, pad_width)
# And prepare iteration over all dimensions
# (zipping may be more readable than using enumerate)
axes = range(padded.ndim)
if mode == "constant":
values = kwargs.get("constant_values", 0)
values = _as_pairs(values, padded.ndim)
for axis, width_pair, value_pair in zip(axes, pad_width, values):
roi = _view_roi(padded, original_area_slice, axis)
_set_pad_area(roi, axis, width_pair, value_pair)
elif mode == "empty":
pass # Do nothing as _pad_simple already returned the correct result
elif array.size == 0:
# Only modes "constant" and "empty" can extend empty axes, all other
# modes depend on `array` not being empty
# -> ensure every empty axis is only "padded with 0"
for axis, width_pair in zip(axes, pad_width):
if array.shape[axis] == 0 and any(width_pair):
raise ValueError(
"can't extend empty axis {} using modes other than "
"'constant' or 'empty'".format(axis)
)
# passed, don't need to do anything more as _pad_simple already
# returned the correct result
elif mode == "edge":
for axis, width_pair in zip(axes, pad_width):
roi = _view_roi(padded, original_area_slice, axis)
edge_pair = _get_edges(roi, axis, width_pair)
_set_pad_area(roi, axis, width_pair, edge_pair)
elif mode == "linear_ramp":
end_values = kwargs.get("end_values", 0)
end_values = _as_pairs(end_values, padded.ndim)
for axis, width_pair, value_pair in zip(axes, pad_width, end_values):
roi = _view_roi(padded, original_area_slice, axis)
ramp_pair = _get_linear_ramps(roi, axis, width_pair, value_pair)
_set_pad_area(roi, axis, width_pair, ramp_pair)
elif mode in stat_functions:
func = stat_functions[mode]
length = kwargs.get("stat_length", None)
length = _as_pairs(length, padded.ndim, as_index=True)
for axis, width_pair, length_pair in zip(axes, pad_width, length):
roi = _view_roi(padded, original_area_slice, axis)
stat_pair = _get_stats(roi, axis, width_pair, length_pair, func)
_set_pad_area(roi, axis, width_pair, stat_pair)
elif mode in {"reflect", "symmetric"}:
method = kwargs.get("reflect_type", "even")
include_edge = True if mode == "symmetric" else False
for axis, (left_index, right_index) in zip(axes, pad_width):
if array.shape[axis] == 1 and (left_index > 0 or right_index > 0):
# Extending singleton dimension for 'reflect' is legacy
# behavior; it really should raise an error.
edge_pair = _get_edges(padded, axis, (left_index, right_index))
_set_pad_area(
padded, axis, (left_index, right_index), edge_pair)
continue
roi = _view_roi(padded, original_area_slice, axis)
while left_index > 0 or right_index > 0:
# Iteratively pad until dimension is filled with reflected
# values. This is necessary if the pad area is larger than
# the length of the original values in the current dimension.
left_index, right_index = _set_reflect_both(
roi, axis, (left_index, right_index),
method, include_edge
)
elif mode == "wrap":
for axis, (left_index, right_index) in zip(axes, pad_width):
roi = _view_roi(padded, original_area_slice, axis)
original_period = padded.shape[axis] - right_index - left_index
while left_index > 0 or right_index > 0:
# Iteratively pad until dimension is filled with wrapped
# values. This is necessary if the pad area is larger than
# the length of the original values in the current dimension.
left_index, right_index = _set_wrap_both(
roi, axis, (left_index, right_index), original_period)
return padded
@@ -0,0 +1,85 @@
from typing import (
Literal as L,
Any,
overload,
TypeVar,
Protocol,
)
from numpy import generic
from numpy._typing import (
ArrayLike,
NDArray,
_ArrayLikeInt,
_ArrayLike,
)
_SCT = TypeVar("_SCT", bound=generic)
class _ModeFunc(Protocol):
def __call__(
self,
vector: NDArray[Any],
iaxis_pad_width: tuple[int, int],
iaxis: int,
kwargs: dict[str, Any],
/,
) -> None: ...
_ModeKind = L[
"constant",
"edge",
"linear_ramp",
"maximum",
"mean",
"median",
"minimum",
"reflect",
"symmetric",
"wrap",
"empty",
]
__all__: list[str]
# TODO: In practice each keyword argument is exclusive to one or more
# specific modes. Consider adding more overloads to express this in the future.
# Expand `**kwargs` into explicit keyword-only arguments
@overload
def pad(
array: _ArrayLike[_SCT],
pad_width: _ArrayLikeInt,
mode: _ModeKind = ...,
*,
stat_length: None | _ArrayLikeInt = ...,
constant_values: ArrayLike = ...,
end_values: ArrayLike = ...,
reflect_type: L["odd", "even"] = ...,
) -> NDArray[_SCT]: ...
@overload
def pad(
array: ArrayLike,
pad_width: _ArrayLikeInt,
mode: _ModeKind = ...,
*,
stat_length: None | _ArrayLikeInt = ...,
constant_values: ArrayLike = ...,
end_values: ArrayLike = ...,
reflect_type: L["odd", "even"] = ...,
) -> NDArray[Any]: ...
@overload
def pad(
array: _ArrayLike[_SCT],
pad_width: _ArrayLikeInt,
mode: _ModeFunc,
**kwargs: Any,
) -> NDArray[_SCT]: ...
@overload
def pad(
array: ArrayLike,
pad_width: _ArrayLikeInt,
mode: _ModeFunc,
**kwargs: Any,
) -> NDArray[Any]: ...
@@ -0,0 +1,981 @@
"""
Set operations for arrays based on sorting.
Notes
-----
For floating point arrays, inaccurate results may appear due to usual round-off
and floating point comparison issues.
Speed could be gained in some operations by an implementation of
`numpy.sort`, that can provide directly the permutation vectors, thus avoiding
calls to `numpy.argsort`.
Original author: Robert Cimrman
"""
import functools
import numpy as np
from numpy.core import overrides
array_function_dispatch = functools.partial(
overrides.array_function_dispatch, module='numpy')
__all__ = [
'ediff1d', 'intersect1d', 'setxor1d', 'union1d', 'setdiff1d', 'unique',
'in1d', 'isin'
]
def _ediff1d_dispatcher(ary, to_end=None, to_begin=None):
return (ary, to_end, to_begin)
@array_function_dispatch(_ediff1d_dispatcher)
def ediff1d(ary, to_end=None, to_begin=None):
"""
The differences between consecutive elements of an array.
Parameters
----------
ary : array_like
If necessary, will be flattened before the differences are taken.
to_end : array_like, optional
Number(s) to append at the end of the returned differences.
to_begin : array_like, optional
Number(s) to prepend at the beginning of the returned differences.
Returns
-------
ediff1d : ndarray
The differences. Loosely, this is ``ary.flat[1:] - ary.flat[:-1]``.
See Also
--------
diff, gradient
Notes
-----
When applied to masked arrays, this function drops the mask information
if the `to_begin` and/or `to_end` parameters are used.
Examples
--------
>>> x = np.array([1, 2, 4, 7, 0])
>>> np.ediff1d(x)
array([ 1, 2, 3, -7])
>>> np.ediff1d(x, to_begin=-99, to_end=np.array([88, 99]))
array([-99, 1, 2, ..., -7, 88, 99])
The returned array is always 1D.
>>> y = [[1, 2, 4], [1, 6, 24]]
>>> np.ediff1d(y)
array([ 1, 2, -3, 5, 18])
"""
# force a 1d array
ary = np.asanyarray(ary).ravel()
# enforce that the dtype of `ary` is used for the output
dtype_req = ary.dtype
# fast track default case
if to_begin is None and to_end is None:
return ary[1:] - ary[:-1]
if to_begin is None:
l_begin = 0
else:
to_begin = np.asanyarray(to_begin)
if not np.can_cast(to_begin, dtype_req, casting="same_kind"):
raise TypeError("dtype of `to_begin` must be compatible "
"with input `ary` under the `same_kind` rule.")
to_begin = to_begin.ravel()
l_begin = len(to_begin)
if to_end is None:
l_end = 0
else:
to_end = np.asanyarray(to_end)
if not np.can_cast(to_end, dtype_req, casting="same_kind"):
raise TypeError("dtype of `to_end` must be compatible "
"with input `ary` under the `same_kind` rule.")
to_end = to_end.ravel()
l_end = len(to_end)
# do the calculation in place and copy to_begin and to_end
l_diff = max(len(ary) - 1, 0)
result = np.empty(l_diff + l_begin + l_end, dtype=ary.dtype)
result = ary.__array_wrap__(result)
if l_begin > 0:
result[:l_begin] = to_begin
if l_end > 0:
result[l_begin + l_diff:] = to_end
np.subtract(ary[1:], ary[:-1], result[l_begin:l_begin + l_diff])
return result
def _unpack_tuple(x):
""" Unpacks one-element tuples for use as return values """
if len(x) == 1:
return x[0]
else:
return x
def _unique_dispatcher(ar, return_index=None, return_inverse=None,
return_counts=None, axis=None, *, equal_nan=None):
return (ar,)
@array_function_dispatch(_unique_dispatcher)
def unique(ar, return_index=False, return_inverse=False,
return_counts=False, axis=None, *, equal_nan=True):
"""
Find the unique elements of an array.
Returns the sorted unique elements of an array. There are three optional
outputs in addition to the unique elements:
* the indices of the input array that give the unique values
* the indices of the unique array that reconstruct the input array
* the number of times each unique value comes up in the input array
Parameters
----------
ar : array_like
Input array. Unless `axis` is specified, this will be flattened if it
is not already 1-D.
return_index : bool, optional
If True, also return the indices of `ar` (along the specified axis,
if provided, or in the flattened array) that result in the unique array.
return_inverse : bool, optional
If True, also return the indices of the unique array (for the specified
axis, if provided) that can be used to reconstruct `ar`.
return_counts : bool, optional
If True, also return the number of times each unique item appears
in `ar`.
axis : int or None, optional
The axis to operate on. If None, `ar` will be flattened. If an integer,
the subarrays indexed by the given axis will be flattened and treated
as the elements of a 1-D array with the dimension of the given axis,
see the notes for more details. Object arrays or structured arrays
that contain objects are not supported if the `axis` kwarg is used. The
default is None.
.. versionadded:: 1.13.0
equal_nan : bool, optional
If True, collapses multiple NaN values in the return array into one.
.. versionadded:: 1.24
Returns
-------
unique : ndarray
The sorted unique values.
unique_indices : ndarray, optional
The indices of the first occurrences of the unique values in the
original array. Only provided if `return_index` is True.
unique_inverse : ndarray, optional
The indices to reconstruct the original array from the
unique array. Only provided if `return_inverse` is True.
unique_counts : ndarray, optional
The number of times each of the unique values comes up in the
original array. Only provided if `return_counts` is True.
.. versionadded:: 1.9.0
See Also
--------
numpy.lib.arraysetops : Module with a number of other functions for
performing set operations on arrays.
repeat : Repeat elements of an array.
Notes
-----
When an axis is specified the subarrays indexed by the axis are sorted.
This is done by making the specified axis the first dimension of the array
(move the axis to the first dimension to keep the order of the other axes)
and then flattening the subarrays in C order. The flattened subarrays are
then viewed as a structured type with each element given a label, with the
effect that we end up with a 1-D array of structured types that can be
treated in the same way as any other 1-D array. The result is that the
flattened subarrays are sorted in lexicographic order starting with the
first element.
.. versionchanged: NumPy 1.21
If nan values are in the input array, a single nan is put
to the end of the sorted unique values.
Also for complex arrays all NaN values are considered equivalent
(no matter whether the NaN is in the real or imaginary part).
As the representant for the returned array the smallest one in the
lexicographical order is chosen - see np.sort for how the lexicographical
order is defined for complex arrays.
Examples
--------
>>> np.unique([1, 1, 2, 2, 3, 3])
array([1, 2, 3])
>>> a = np.array([[1, 1], [2, 3]])
>>> np.unique(a)
array([1, 2, 3])
Return the unique rows of a 2D array
>>> a = np.array([[1, 0, 0], [1, 0, 0], [2, 3, 4]])
>>> np.unique(a, axis=0)
array([[1, 0, 0], [2, 3, 4]])
Return the indices of the original array that give the unique values:
>>> a = np.array(['a', 'b', 'b', 'c', 'a'])
>>> u, indices = np.unique(a, return_index=True)
>>> u
array(['a', 'b', 'c'], dtype='<U1')
>>> indices
array([0, 1, 3])
>>> a[indices]
array(['a', 'b', 'c'], dtype='<U1')
Reconstruct the input array from the unique values and inverse:
>>> a = np.array([1, 2, 6, 4, 2, 3, 2])
>>> u, indices = np.unique(a, return_inverse=True)
>>> u
array([1, 2, 3, 4, 6])
>>> indices
array([0, 1, 4, 3, 1, 2, 1])
>>> u[indices]
array([1, 2, 6, 4, 2, 3, 2])
Reconstruct the input values from the unique values and counts:
>>> a = np.array([1, 2, 6, 4, 2, 3, 2])
>>> values, counts = np.unique(a, return_counts=True)
>>> values
array([1, 2, 3, 4, 6])
>>> counts
array([1, 3, 1, 1, 1])
>>> np.repeat(values, counts)
array([1, 2, 2, 2, 3, 4, 6]) # original order not preserved
"""
ar = np.asanyarray(ar)
if axis is None:
ret = _unique1d(ar, return_index, return_inverse, return_counts,
equal_nan=equal_nan)
return _unpack_tuple(ret)
# axis was specified and not None
try:
ar = np.moveaxis(ar, axis, 0)
except np.AxisError:
# this removes the "axis1" or "axis2" prefix from the error message
raise np.AxisError(axis, ar.ndim) from None
# Must reshape to a contiguous 2D array for this to work...
orig_shape, orig_dtype = ar.shape, ar.dtype
ar = ar.reshape(orig_shape[0], np.prod(orig_shape[1:], dtype=np.intp))
ar = np.ascontiguousarray(ar)
dtype = [('f{i}'.format(i=i), ar.dtype) for i in range(ar.shape[1])]
# At this point, `ar` has shape `(n, m)`, and `dtype` is a structured
# data type with `m` fields where each field has the data type of `ar`.
# In the following, we create the array `consolidated`, which has
# shape `(n,)` with data type `dtype`.
try:
if ar.shape[1] > 0:
consolidated = ar.view(dtype)
else:
# If ar.shape[1] == 0, then dtype will be `np.dtype([])`, which is
# a data type with itemsize 0, and the call `ar.view(dtype)` will
# fail. Instead, we'll use `np.empty` to explicitly create the
# array with shape `(len(ar),)`. Because `dtype` in this case has
# itemsize 0, the total size of the result is still 0 bytes.
consolidated = np.empty(len(ar), dtype=dtype)
except TypeError as e:
# There's no good way to do this for object arrays, etc...
msg = 'The axis argument to unique is not supported for dtype {dt}'
raise TypeError(msg.format(dt=ar.dtype)) from e
def reshape_uniq(uniq):
n = len(uniq)
uniq = uniq.view(orig_dtype)
uniq = uniq.reshape(n, *orig_shape[1:])
uniq = np.moveaxis(uniq, 0, axis)
return uniq
output = _unique1d(consolidated, return_index,
return_inverse, return_counts, equal_nan=equal_nan)
output = (reshape_uniq(output[0]),) + output[1:]
return _unpack_tuple(output)
def _unique1d(ar, return_index=False, return_inverse=False,
return_counts=False, *, equal_nan=True):
"""
Find the unique elements of an array, ignoring shape.
"""
ar = np.asanyarray(ar).flatten()
optional_indices = return_index or return_inverse
if optional_indices:
perm = ar.argsort(kind='mergesort' if return_index else 'quicksort')
aux = ar[perm]
else:
ar.sort()
aux = ar
mask = np.empty(aux.shape, dtype=np.bool_)
mask[:1] = True
if (equal_nan and aux.shape[0] > 0 and aux.dtype.kind in "cfmM" and
np.isnan(aux[-1])):
if aux.dtype.kind == "c": # for complex all NaNs are considered equivalent
aux_firstnan = np.searchsorted(np.isnan(aux), True, side='left')
else:
aux_firstnan = np.searchsorted(aux, aux[-1], side='left')
if aux_firstnan > 0:
mask[1:aux_firstnan] = (
aux[1:aux_firstnan] != aux[:aux_firstnan - 1])
mask[aux_firstnan] = True
mask[aux_firstnan + 1:] = False
else:
mask[1:] = aux[1:] != aux[:-1]
ret = (aux[mask],)
if return_index:
ret += (perm[mask],)
if return_inverse:
imask = np.cumsum(mask) - 1
inv_idx = np.empty(mask.shape, dtype=np.intp)
inv_idx[perm] = imask
ret += (inv_idx,)
if return_counts:
idx = np.concatenate(np.nonzero(mask) + ([mask.size],))
ret += (np.diff(idx),)
return ret
def _intersect1d_dispatcher(
ar1, ar2, assume_unique=None, return_indices=None):
return (ar1, ar2)
@array_function_dispatch(_intersect1d_dispatcher)
def intersect1d(ar1, ar2, assume_unique=False, return_indices=False):
"""
Find the intersection of two arrays.
Return the sorted, unique values that are in both of the input arrays.
Parameters
----------
ar1, ar2 : array_like
Input arrays. Will be flattened if not already 1D.
assume_unique : bool
If True, the input arrays are both assumed to be unique, which
can speed up the calculation. If True but ``ar1`` or ``ar2`` are not
unique, incorrect results and out-of-bounds indices could result.
Default is False.
return_indices : bool
If True, the indices which correspond to the intersection of the two
arrays are returned. The first instance of a value is used if there are
multiple. Default is False.
.. versionadded:: 1.15.0
Returns
-------
intersect1d : ndarray
Sorted 1D array of common and unique elements.
comm1 : ndarray
The indices of the first occurrences of the common values in `ar1`.
Only provided if `return_indices` is True.
comm2 : ndarray
The indices of the first occurrences of the common values in `ar2`.
Only provided if `return_indices` is True.
See Also
--------
numpy.lib.arraysetops : Module with a number of other functions for
performing set operations on arrays.
Examples
--------
>>> np.intersect1d([1, 3, 4, 3], [3, 1, 2, 1])
array([1, 3])
To intersect more than two arrays, use functools.reduce:
>>> from functools import reduce
>>> reduce(np.intersect1d, ([1, 3, 4, 3], [3, 1, 2, 1], [6, 3, 4, 2]))
array([3])
To return the indices of the values common to the input arrays
along with the intersected values:
>>> x = np.array([1, 1, 2, 3, 4])
>>> y = np.array([2, 1, 4, 6])
>>> xy, x_ind, y_ind = np.intersect1d(x, y, return_indices=True)
>>> x_ind, y_ind
(array([0, 2, 4]), array([1, 0, 2]))
>>> xy, x[x_ind], y[y_ind]
(array([1, 2, 4]), array([1, 2, 4]), array([1, 2, 4]))
"""
ar1 = np.asanyarray(ar1)
ar2 = np.asanyarray(ar2)
if not assume_unique:
if return_indices:
ar1, ind1 = unique(ar1, return_index=True)
ar2, ind2 = unique(ar2, return_index=True)
else:
ar1 = unique(ar1)
ar2 = unique(ar2)
else:
ar1 = ar1.ravel()
ar2 = ar2.ravel()
aux = np.concatenate((ar1, ar2))
if return_indices:
aux_sort_indices = np.argsort(aux, kind='mergesort')
aux = aux[aux_sort_indices]
else:
aux.sort()
mask = aux[1:] == aux[:-1]
int1d = aux[:-1][mask]
if return_indices:
ar1_indices = aux_sort_indices[:-1][mask]
ar2_indices = aux_sort_indices[1:][mask] - ar1.size
if not assume_unique:
ar1_indices = ind1[ar1_indices]
ar2_indices = ind2[ar2_indices]
return int1d, ar1_indices, ar2_indices
else:
return int1d
def _setxor1d_dispatcher(ar1, ar2, assume_unique=None):
return (ar1, ar2)
@array_function_dispatch(_setxor1d_dispatcher)
def setxor1d(ar1, ar2, assume_unique=False):
"""
Find the set exclusive-or of two arrays.
Return the sorted, unique values that are in only one (not both) of the
input arrays.
Parameters
----------
ar1, ar2 : array_like
Input arrays.
assume_unique : bool
If True, the input arrays are both assumed to be unique, which
can speed up the calculation. Default is False.
Returns
-------
setxor1d : ndarray
Sorted 1D array of unique values that are in only one of the input
arrays.
Examples
--------
>>> a = np.array([1, 2, 3, 2, 4])
>>> b = np.array([2, 3, 5, 7, 5])
>>> np.setxor1d(a,b)
array([1, 4, 5, 7])
"""
if not assume_unique:
ar1 = unique(ar1)
ar2 = unique(ar2)
aux = np.concatenate((ar1, ar2))
if aux.size == 0:
return aux
aux.sort()
flag = np.concatenate(([True], aux[1:] != aux[:-1], [True]))
return aux[flag[1:] & flag[:-1]]
def _in1d_dispatcher(ar1, ar2, assume_unique=None, invert=None, *,
kind=None):
return (ar1, ar2)
@array_function_dispatch(_in1d_dispatcher)
def in1d(ar1, ar2, assume_unique=False, invert=False, *, kind=None):
"""
Test whether each element of a 1-D array is also present in a second array.
Returns a boolean array the same length as `ar1` that is True
where an element of `ar1` is in `ar2` and False otherwise.
We recommend using :func:`isin` instead of `in1d` for new code.
Parameters
----------
ar1 : (M,) array_like
Input array.
ar2 : array_like
The values against which to test each value of `ar1`.
assume_unique : bool, optional
If True, the input arrays are both assumed to be unique, which
can speed up the calculation. Default is False.
invert : bool, optional
If True, the values in the returned array are inverted (that is,
False where an element of `ar1` is in `ar2` and True otherwise).
Default is False. ``np.in1d(a, b, invert=True)`` is equivalent
to (but is faster than) ``np.invert(in1d(a, b))``.
kind : {None, 'sort', 'table'}, optional
The algorithm to use. This will not affect the final result,
but will affect the speed and memory use. The default, None,
will select automatically based on memory considerations.
* If 'sort', will use a mergesort-based approach. This will have
a memory usage of roughly 6 times the sum of the sizes of
`ar1` and `ar2`, not accounting for size of dtypes.
* If 'table', will use a lookup table approach similar
to a counting sort. This is only available for boolean and
integer arrays. This will have a memory usage of the
size of `ar1` plus the max-min value of `ar2`. `assume_unique`
has no effect when the 'table' option is used.
* If None, will automatically choose 'table' if
the required memory allocation is less than or equal to
6 times the sum of the sizes of `ar1` and `ar2`,
otherwise will use 'sort'. This is done to not use
a large amount of memory by default, even though
'table' may be faster in most cases. If 'table' is chosen,
`assume_unique` will have no effect.
.. versionadded:: 1.8.0
Returns
-------
in1d : (M,) ndarray, bool
The values `ar1[in1d]` are in `ar2`.
See Also
--------
isin : Version of this function that preserves the
shape of ar1.
numpy.lib.arraysetops : Module with a number of other functions for
performing set operations on arrays.
Notes
-----
`in1d` can be considered as an element-wise function version of the
python keyword `in`, for 1-D sequences. ``in1d(a, b)`` is roughly
equivalent to ``np.array([item in b for item in a])``.
However, this idea fails if `ar2` is a set, or similar (non-sequence)
container: As ``ar2`` is converted to an array, in those cases
``asarray(ar2)`` is an object array rather than the expected array of
contained values.
Using ``kind='table'`` tends to be faster than `kind='sort'` if the
following relationship is true:
``log10(len(ar2)) > (log10(max(ar2)-min(ar2)) - 2.27) / 0.927``,
but may use greater memory. The default value for `kind` will
be automatically selected based only on memory usage, so one may
manually set ``kind='table'`` if memory constraints can be relaxed.
.. versionadded:: 1.4.0
Examples
--------
>>> test = np.array([0, 1, 2, 5, 0])
>>> states = [0, 2]
>>> mask = np.in1d(test, states)
>>> mask
array([ True, False, True, False, True])
>>> test[mask]
array([0, 2, 0])
>>> mask = np.in1d(test, states, invert=True)
>>> mask
array([False, True, False, True, False])
>>> test[mask]
array([1, 5])
"""
# Ravel both arrays, behavior for the first array could be different
ar1 = np.asarray(ar1).ravel()
ar2 = np.asarray(ar2).ravel()
# Ensure that iteration through object arrays yields size-1 arrays
if ar2.dtype == object:
ar2 = ar2.reshape(-1, 1)
if kind not in {None, 'sort', 'table'}:
raise ValueError(
f"Invalid kind: '{kind}'. Please use None, 'sort' or 'table'.")
# Can use the table method if all arrays are integers or boolean:
is_int_arrays = all(ar.dtype.kind in ("u", "i", "b") for ar in (ar1, ar2))
use_table_method = is_int_arrays and kind in {None, 'table'}
if use_table_method:
if ar2.size == 0:
if invert:
return np.ones_like(ar1, dtype=bool)
else:
return np.zeros_like(ar1, dtype=bool)
# Convert booleans to uint8 so we can use the fast integer algorithm
if ar1.dtype == bool:
ar1 = ar1.astype(np.uint8)
if ar2.dtype == bool:
ar2 = ar2.astype(np.uint8)
ar2_min = np.min(ar2)
ar2_max = np.max(ar2)
ar2_range = int(ar2_max) - int(ar2_min)
# Constraints on whether we can actually use the table method:
# 1. Assert memory usage is not too large
below_memory_constraint = ar2_range <= 6 * (ar1.size + ar2.size)
# 2. Check overflows for (ar2 - ar2_min); dtype=ar2.dtype
range_safe_from_overflow = ar2_range <= np.iinfo(ar2.dtype).max
# 3. Check overflows for (ar1 - ar2_min); dtype=ar1.dtype
if ar1.size > 0:
ar1_min = np.min(ar1)
ar1_max = np.max(ar1)
# After masking, the range of ar1 is guaranteed to be
# within the range of ar2:
ar1_upper = min(int(ar1_max), int(ar2_max))
ar1_lower = max(int(ar1_min), int(ar2_min))
range_safe_from_overflow &= all((
ar1_upper - int(ar2_min) <= np.iinfo(ar1.dtype).max,
ar1_lower - int(ar2_min) >= np.iinfo(ar1.dtype).min
))
# Optimal performance is for approximately
# log10(size) > (log10(range) - 2.27) / 0.927.
# However, here we set the requirement that by default
# the intermediate array can only be 6x
# the combined memory allocation of the original
# arrays. See discussion on
# https://github.com/numpy/numpy/pull/12065.
if (
range_safe_from_overflow and
(below_memory_constraint or kind == 'table')
):
if invert:
outgoing_array = np.ones_like(ar1, dtype=bool)
else:
outgoing_array = np.zeros_like(ar1, dtype=bool)
# Make elements 1 where the integer exists in ar2
if invert:
isin_helper_ar = np.ones(ar2_range + 1, dtype=bool)
isin_helper_ar[ar2 - ar2_min] = 0
else:
isin_helper_ar = np.zeros(ar2_range + 1, dtype=bool)
isin_helper_ar[ar2 - ar2_min] = 1
# Mask out elements we know won't work
basic_mask = (ar1 <= ar2_max) & (ar1 >= ar2_min)
outgoing_array[basic_mask] = isin_helper_ar[ar1[basic_mask] -
ar2_min]
return outgoing_array
elif kind == 'table': # not range_safe_from_overflow
raise RuntimeError(
"You have specified kind='table', "
"but the range of values in `ar2` or `ar1` exceed the "
"maximum integer of the datatype. "
"Please set `kind` to None or 'sort'."
)
elif kind == 'table':
raise ValueError(
"The 'table' method is only "
"supported for boolean or integer arrays. "
"Please select 'sort' or None for kind."
)
# Check if one of the arrays may contain arbitrary objects
contains_object = ar1.dtype.hasobject or ar2.dtype.hasobject
# This code is run when
# a) the first condition is true, making the code significantly faster
# b) the second condition is true (i.e. `ar1` or `ar2` may contain
# arbitrary objects), since then sorting is not guaranteed to work
if len(ar2) < 10 * len(ar1) ** 0.145 or contains_object:
if invert:
mask = np.ones(len(ar1), dtype=bool)
for a in ar2:
mask &= (ar1 != a)
else:
mask = np.zeros(len(ar1), dtype=bool)
for a in ar2:
mask |= (ar1 == a)
return mask
# Otherwise use sorting
if not assume_unique:
ar1, rev_idx = np.unique(ar1, return_inverse=True)
ar2 = np.unique(ar2)
ar = np.concatenate((ar1, ar2))
# We need this to be a stable sort, so always use 'mergesort'
# here. The values from the first array should always come before
# the values from the second array.
order = ar.argsort(kind='mergesort')
sar = ar[order]
if invert:
bool_ar = (sar[1:] != sar[:-1])
else:
bool_ar = (sar[1:] == sar[:-1])
flag = np.concatenate((bool_ar, [invert]))
ret = np.empty(ar.shape, dtype=bool)
ret[order] = flag
if assume_unique:
return ret[:len(ar1)]
else:
return ret[rev_idx]
def _isin_dispatcher(element, test_elements, assume_unique=None, invert=None,
*, kind=None):
return (element, test_elements)
@array_function_dispatch(_isin_dispatcher)
def isin(element, test_elements, assume_unique=False, invert=False, *,
kind=None):
"""
Calculates ``element in test_elements``, broadcasting over `element` only.
Returns a boolean array of the same shape as `element` that is True
where an element of `element` is in `test_elements` and False otherwise.
Parameters
----------
element : array_like
Input array.
test_elements : array_like
The values against which to test each value of `element`.
This argument is flattened if it is an array or array_like.
See notes for behavior with non-array-like parameters.
assume_unique : bool, optional
If True, the input arrays are both assumed to be unique, which
can speed up the calculation. Default is False.
invert : bool, optional
If True, the values in the returned array are inverted, as if
calculating `element not in test_elements`. Default is False.
``np.isin(a, b, invert=True)`` is equivalent to (but faster
than) ``np.invert(np.isin(a, b))``.
kind : {None, 'sort', 'table'}, optional
The algorithm to use. This will not affect the final result,
but will affect the speed and memory use. The default, None,
will select automatically based on memory considerations.
* If 'sort', will use a mergesort-based approach. This will have
a memory usage of roughly 6 times the sum of the sizes of
`ar1` and `ar2`, not accounting for size of dtypes.
* If 'table', will use a lookup table approach similar
to a counting sort. This is only available for boolean and
integer arrays. This will have a memory usage of the
size of `ar1` plus the max-min value of `ar2`. `assume_unique`
has no effect when the 'table' option is used.
* If None, will automatically choose 'table' if
the required memory allocation is less than or equal to
6 times the sum of the sizes of `ar1` and `ar2`,
otherwise will use 'sort'. This is done to not use
a large amount of memory by default, even though
'table' may be faster in most cases. If 'table' is chosen,
`assume_unique` will have no effect.
Returns
-------
isin : ndarray, bool
Has the same shape as `element`. The values `element[isin]`
are in `test_elements`.
See Also
--------
in1d : Flattened version of this function.
numpy.lib.arraysetops : Module with a number of other functions for
performing set operations on arrays.
Notes
-----
`isin` is an element-wise function version of the python keyword `in`.
``isin(a, b)`` is roughly equivalent to
``np.array([item in b for item in a])`` if `a` and `b` are 1-D sequences.
`element` and `test_elements` are converted to arrays if they are not
already. If `test_elements` is a set (or other non-sequence collection)
it will be converted to an object array with one element, rather than an
array of the values contained in `test_elements`. This is a consequence
of the `array` constructor's way of handling non-sequence collections.
Converting the set to a list usually gives the desired behavior.
Using ``kind='table'`` tends to be faster than `kind='sort'` if the
following relationship is true:
``log10(len(ar2)) > (log10(max(ar2)-min(ar2)) - 2.27) / 0.927``,
but may use greater memory. The default value for `kind` will
be automatically selected based only on memory usage, so one may
manually set ``kind='table'`` if memory constraints can be relaxed.
.. versionadded:: 1.13.0
Examples
--------
>>> element = 2*np.arange(4).reshape((2, 2))
>>> element
array([[0, 2],
[4, 6]])
>>> test_elements = [1, 2, 4, 8]
>>> mask = np.isin(element, test_elements)
>>> mask
array([[False, True],
[ True, False]])
>>> element[mask]
array([2, 4])
The indices of the matched values can be obtained with `nonzero`:
>>> np.nonzero(mask)
(array([0, 1]), array([1, 0]))
The test can also be inverted:
>>> mask = np.isin(element, test_elements, invert=True)
>>> mask
array([[ True, False],
[False, True]])
>>> element[mask]
array([0, 6])
Because of how `array` handles sets, the following does not
work as expected:
>>> test_set = {1, 2, 4, 8}
>>> np.isin(element, test_set)
array([[False, False],
[False, False]])
Casting the set to a list gives the expected result:
>>> np.isin(element, list(test_set))
array([[False, True],
[ True, False]])
"""
element = np.asarray(element)
return in1d(element, test_elements, assume_unique=assume_unique,
invert=invert, kind=kind).reshape(element.shape)
def _union1d_dispatcher(ar1, ar2):
return (ar1, ar2)
@array_function_dispatch(_union1d_dispatcher)
def union1d(ar1, ar2):
"""
Find the union of two arrays.
Return the unique, sorted array of values that are in either of the two
input arrays.
Parameters
----------
ar1, ar2 : array_like
Input arrays. They are flattened if they are not already 1D.
Returns
-------
union1d : ndarray
Unique, sorted union of the input arrays.
See Also
--------
numpy.lib.arraysetops : Module with a number of other functions for
performing set operations on arrays.
Examples
--------
>>> np.union1d([-1, 0, 1], [-2, 0, 2])
array([-2, -1, 0, 1, 2])
To find the union of more than two arrays, use functools.reduce:
>>> from functools import reduce
>>> reduce(np.union1d, ([1, 3, 4, 3], [3, 1, 2, 1], [6, 3, 4, 2]))
array([1, 2, 3, 4, 6])
"""
return unique(np.concatenate((ar1, ar2), axis=None))
def _setdiff1d_dispatcher(ar1, ar2, assume_unique=None):
return (ar1, ar2)
@array_function_dispatch(_setdiff1d_dispatcher)
def setdiff1d(ar1, ar2, assume_unique=False):
"""
Find the set difference of two arrays.
Return the unique values in `ar1` that are not in `ar2`.
Parameters
----------
ar1 : array_like
Input array.
ar2 : array_like
Input comparison array.
assume_unique : bool
If True, the input arrays are both assumed to be unique, which
can speed up the calculation. Default is False.
Returns
-------
setdiff1d : ndarray
1D array of values in `ar1` that are not in `ar2`. The result
is sorted when `assume_unique=False`, but otherwise only sorted
if the input is sorted.
See Also
--------
numpy.lib.arraysetops : Module with a number of other functions for
performing set operations on arrays.
Examples
--------
>>> a = np.array([1, 2, 3, 2, 4, 1])
>>> b = np.array([3, 4, 5, 6])
>>> np.setdiff1d(a, b)
array([1, 2])
"""
if assume_unique:
ar1 = np.asarray(ar1).ravel()
else:
ar1 = unique(ar1)
ar2 = unique(ar2)
return ar1[in1d(ar1, ar2, assume_unique=True, invert=True)]
@@ -0,0 +1,362 @@
from typing import (
Literal as L,
Any,
TypeVar,
overload,
SupportsIndex,
)
from numpy import (
generic,
number,
bool_,
ushort,
ubyte,
uintc,
uint,
ulonglong,
short,
int8,
byte,
intc,
int_,
intp,
longlong,
half,
single,
double,
longdouble,
csingle,
cdouble,
clongdouble,
timedelta64,
datetime64,
object_,
str_,
bytes_,
void,
)
from numpy._typing import (
ArrayLike,
NDArray,
_ArrayLike,
_ArrayLikeBool_co,
_ArrayLikeDT64_co,
_ArrayLikeTD64_co,
_ArrayLikeObject_co,
_ArrayLikeNumber_co,
)
_SCT = TypeVar("_SCT", bound=generic)
_NumberType = TypeVar("_NumberType", bound=number[Any])
# Explicitly set all allowed values to prevent accidental castings to
# abstract dtypes (their common super-type).
#
# Only relevant if two or more arguments are parametrized, (e.g. `setdiff1d`)
# which could result in, for example, `int64` and `float64`producing a
# `number[_64Bit]` array
_SCTNoCast = TypeVar(
"_SCTNoCast",
bool_,
ushort,
ubyte,
uintc,
uint,
ulonglong,
short,
byte,
intc,
int_,
longlong,
half,
single,
double,
longdouble,
csingle,
cdouble,
clongdouble,
timedelta64,
datetime64,
object_,
str_,
bytes_,
void,
)
__all__: list[str]
@overload
def ediff1d(
ary: _ArrayLikeBool_co,
to_end: None | ArrayLike = ...,
to_begin: None | ArrayLike = ...,
) -> NDArray[int8]: ...
@overload
def ediff1d(
ary: _ArrayLike[_NumberType],
to_end: None | ArrayLike = ...,
to_begin: None | ArrayLike = ...,
) -> NDArray[_NumberType]: ...
@overload
def ediff1d(
ary: _ArrayLikeNumber_co,
to_end: None | ArrayLike = ...,
to_begin: None | ArrayLike = ...,
) -> NDArray[Any]: ...
@overload
def ediff1d(
ary: _ArrayLikeDT64_co | _ArrayLikeTD64_co,
to_end: None | ArrayLike = ...,
to_begin: None | ArrayLike = ...,
) -> NDArray[timedelta64]: ...
@overload
def ediff1d(
ary: _ArrayLikeObject_co,
to_end: None | ArrayLike = ...,
to_begin: None | ArrayLike = ...,
) -> NDArray[object_]: ...
@overload
def unique(
ar: _ArrayLike[_SCT],
return_index: L[False] = ...,
return_inverse: L[False] = ...,
return_counts: L[False] = ...,
axis: None | SupportsIndex = ...,
*,
equal_nan: bool = ...,
) -> NDArray[_SCT]: ...
@overload
def unique(
ar: ArrayLike,
return_index: L[False] = ...,
return_inverse: L[False] = ...,
return_counts: L[False] = ...,
axis: None | SupportsIndex = ...,
*,
equal_nan: bool = ...,
) -> NDArray[Any]: ...
@overload
def unique(
ar: _ArrayLike[_SCT],
return_index: L[True] = ...,
return_inverse: L[False] = ...,
return_counts: L[False] = ...,
axis: None | SupportsIndex = ...,
*,
equal_nan: bool = ...,
) -> tuple[NDArray[_SCT], NDArray[intp]]: ...
@overload
def unique(
ar: ArrayLike,
return_index: L[True] = ...,
return_inverse: L[False] = ...,
return_counts: L[False] = ...,
axis: None | SupportsIndex = ...,
*,
equal_nan: bool = ...,
) -> tuple[NDArray[Any], NDArray[intp]]: ...
@overload
def unique(
ar: _ArrayLike[_SCT],
return_index: L[False] = ...,
return_inverse: L[True] = ...,
return_counts: L[False] = ...,
axis: None | SupportsIndex = ...,
*,
equal_nan: bool = ...,
) -> tuple[NDArray[_SCT], NDArray[intp]]: ...
@overload
def unique(
ar: ArrayLike,
return_index: L[False] = ...,
return_inverse: L[True] = ...,
return_counts: L[False] = ...,
axis: None | SupportsIndex = ...,
*,
equal_nan: bool = ...,
) -> tuple[NDArray[Any], NDArray[intp]]: ...
@overload
def unique(
ar: _ArrayLike[_SCT],
return_index: L[False] = ...,
return_inverse: L[False] = ...,
return_counts: L[True] = ...,
axis: None | SupportsIndex = ...,
*,
equal_nan: bool = ...,
) -> tuple[NDArray[_SCT], NDArray[intp]]: ...
@overload
def unique(
ar: ArrayLike,
return_index: L[False] = ...,
return_inverse: L[False] = ...,
return_counts: L[True] = ...,
axis: None | SupportsIndex = ...,
*,
equal_nan: bool = ...,
) -> tuple[NDArray[Any], NDArray[intp]]: ...
@overload
def unique(
ar: _ArrayLike[_SCT],
return_index: L[True] = ...,
return_inverse: L[True] = ...,
return_counts: L[False] = ...,
axis: None | SupportsIndex = ...,
*,
equal_nan: bool = ...,
) -> tuple[NDArray[_SCT], NDArray[intp], NDArray[intp]]: ...
@overload
def unique(
ar: ArrayLike,
return_index: L[True] = ...,
return_inverse: L[True] = ...,
return_counts: L[False] = ...,
axis: None | SupportsIndex = ...,
*,
equal_nan: bool = ...,
) -> tuple[NDArray[Any], NDArray[intp], NDArray[intp]]: ...
@overload
def unique(
ar: _ArrayLike[_SCT],
return_index: L[True] = ...,
return_inverse: L[False] = ...,
return_counts: L[True] = ...,
axis: None | SupportsIndex = ...,
*,
equal_nan: bool = ...,
) -> tuple[NDArray[_SCT], NDArray[intp], NDArray[intp]]: ...
@overload
def unique(
ar: ArrayLike,
return_index: L[True] = ...,
return_inverse: L[False] = ...,
return_counts: L[True] = ...,
axis: None | SupportsIndex = ...,
*,
equal_nan: bool = ...,
) -> tuple[NDArray[Any], NDArray[intp], NDArray[intp]]: ...
@overload
def unique(
ar: _ArrayLike[_SCT],
return_index: L[False] = ...,
return_inverse: L[True] = ...,
return_counts: L[True] = ...,
axis: None | SupportsIndex = ...,
*,
equal_nan: bool = ...,
) -> tuple[NDArray[_SCT], NDArray[intp], NDArray[intp]]: ...
@overload
def unique(
ar: ArrayLike,
return_index: L[False] = ...,
return_inverse: L[True] = ...,
return_counts: L[True] = ...,
axis: None | SupportsIndex = ...,
*,
equal_nan: bool = ...,
) -> tuple[NDArray[Any], NDArray[intp], NDArray[intp]]: ...
@overload
def unique(
ar: _ArrayLike[_SCT],
return_index: L[True] = ...,
return_inverse: L[True] = ...,
return_counts: L[True] = ...,
axis: None | SupportsIndex = ...,
*,
equal_nan: bool = ...,
) -> tuple[NDArray[_SCT], NDArray[intp], NDArray[intp], NDArray[intp]]: ...
@overload
def unique(
ar: ArrayLike,
return_index: L[True] = ...,
return_inverse: L[True] = ...,
return_counts: L[True] = ...,
axis: None | SupportsIndex = ...,
*,
equal_nan: bool = ...,
) -> tuple[NDArray[Any], NDArray[intp], NDArray[intp], NDArray[intp]]: ...
@overload
def intersect1d(
ar1: _ArrayLike[_SCTNoCast],
ar2: _ArrayLike[_SCTNoCast],
assume_unique: bool = ...,
return_indices: L[False] = ...,
) -> NDArray[_SCTNoCast]: ...
@overload
def intersect1d(
ar1: ArrayLike,
ar2: ArrayLike,
assume_unique: bool = ...,
return_indices: L[False] = ...,
) -> NDArray[Any]: ...
@overload
def intersect1d(
ar1: _ArrayLike[_SCTNoCast],
ar2: _ArrayLike[_SCTNoCast],
assume_unique: bool = ...,
return_indices: L[True] = ...,
) -> tuple[NDArray[_SCTNoCast], NDArray[intp], NDArray[intp]]: ...
@overload
def intersect1d(
ar1: ArrayLike,
ar2: ArrayLike,
assume_unique: bool = ...,
return_indices: L[True] = ...,
) -> tuple[NDArray[Any], NDArray[intp], NDArray[intp]]: ...
@overload
def setxor1d(
ar1: _ArrayLike[_SCTNoCast],
ar2: _ArrayLike[_SCTNoCast],
assume_unique: bool = ...,
) -> NDArray[_SCTNoCast]: ...
@overload
def setxor1d(
ar1: ArrayLike,
ar2: ArrayLike,
assume_unique: bool = ...,
) -> NDArray[Any]: ...
def in1d(
ar1: ArrayLike,
ar2: ArrayLike,
assume_unique: bool = ...,
invert: bool = ...,
) -> NDArray[bool_]: ...
def isin(
element: ArrayLike,
test_elements: ArrayLike,
assume_unique: bool = ...,
invert: bool = ...,
*,
kind: None | str = ...,
) -> NDArray[bool_]: ...
@overload
def union1d(
ar1: _ArrayLike[_SCTNoCast],
ar2: _ArrayLike[_SCTNoCast],
) -> NDArray[_SCTNoCast]: ...
@overload
def union1d(
ar1: ArrayLike,
ar2: ArrayLike,
) -> NDArray[Any]: ...
@overload
def setdiff1d(
ar1: _ArrayLike[_SCTNoCast],
ar2: _ArrayLike[_SCTNoCast],
assume_unique: bool = ...,
) -> NDArray[_SCTNoCast]: ...
@overload
def setdiff1d(
ar1: ArrayLike,
ar2: ArrayLike,
assume_unique: bool = ...,
) -> NDArray[Any]: ...
@@ -0,0 +1,219 @@
"""
A buffered iterator for big arrays.
This module solves the problem of iterating over a big file-based array
without having to read it into memory. The `Arrayterator` class wraps
an array object, and when iterated it will return sub-arrays with at most
a user-specified number of elements.
"""
from operator import mul
from functools import reduce
__all__ = ['Arrayterator']
class Arrayterator:
"""
Buffered iterator for big arrays.
`Arrayterator` creates a buffered iterator for reading big arrays in small
contiguous blocks. The class is useful for objects stored in the
file system. It allows iteration over the object *without* reading
everything in memory; instead, small blocks are read and iterated over.
`Arrayterator` can be used with any object that supports multidimensional
slices. This includes NumPy arrays, but also variables from
Scientific.IO.NetCDF or pynetcdf for example.
Parameters
----------
var : array_like
The object to iterate over.
buf_size : int, optional
The buffer size. If `buf_size` is supplied, the maximum amount of
data that will be read into memory is `buf_size` elements.
Default is None, which will read as many element as possible
into memory.
Attributes
----------
var
buf_size
start
stop
step
shape
flat
See Also
--------
ndenumerate : Multidimensional array iterator.
flatiter : Flat array iterator.
memmap : Create a memory-map to an array stored in a binary file on disk.
Notes
-----
The algorithm works by first finding a "running dimension", along which
the blocks will be extracted. Given an array of dimensions
``(d1, d2, ..., dn)``, e.g. if `buf_size` is smaller than ``d1``, the
first dimension will be used. If, on the other hand,
``d1 < buf_size < d1*d2`` the second dimension will be used, and so on.
Blocks are extracted along this dimension, and when the last block is
returned the process continues from the next dimension, until all
elements have been read.
Examples
--------
>>> a = np.arange(3 * 4 * 5 * 6).reshape(3, 4, 5, 6)
>>> a_itor = np.lib.Arrayterator(a, 2)
>>> a_itor.shape
(3, 4, 5, 6)
Now we can iterate over ``a_itor``, and it will return arrays of size
two. Since `buf_size` was smaller than any dimension, the first
dimension will be iterated over first:
>>> for subarr in a_itor:
... if not subarr.all():
... print(subarr, subarr.shape) # doctest: +SKIP
>>> # [[[[0 1]]]] (1, 1, 1, 2)
"""
def __init__(self, var, buf_size=None):
self.var = var
self.buf_size = buf_size
self.start = [0 for dim in var.shape]
self.stop = [dim for dim in var.shape]
self.step = [1 for dim in var.shape]
def __getattr__(self, attr):
return getattr(self.var, attr)
def __getitem__(self, index):
"""
Return a new arrayterator.
"""
# Fix index, handling ellipsis and incomplete slices.
if not isinstance(index, tuple):
index = (index,)
fixed = []
length, dims = len(index), self.ndim
for slice_ in index:
if slice_ is Ellipsis:
fixed.extend([slice(None)] * (dims-length+1))
length = len(fixed)
elif isinstance(slice_, int):
fixed.append(slice(slice_, slice_+1, 1))
else:
fixed.append(slice_)
index = tuple(fixed)
if len(index) < dims:
index += (slice(None),) * (dims-len(index))
# Return a new arrayterator object.
out = self.__class__(self.var, self.buf_size)
for i, (start, stop, step, slice_) in enumerate(
zip(self.start, self.stop, self.step, index)):
out.start[i] = start + (slice_.start or 0)
out.step[i] = step * (slice_.step or 1)
out.stop[i] = start + (slice_.stop or stop-start)
out.stop[i] = min(stop, out.stop[i])
return out
def __array__(self):
"""
Return corresponding data.
"""
slice_ = tuple(slice(*t) for t in zip(
self.start, self.stop, self.step))
return self.var[slice_]
@property
def flat(self):
"""
A 1-D flat iterator for Arrayterator objects.
This iterator returns elements of the array to be iterated over in
`Arrayterator` one by one. It is similar to `flatiter`.
See Also
--------
Arrayterator
flatiter
Examples
--------
>>> a = np.arange(3 * 4 * 5 * 6).reshape(3, 4, 5, 6)
>>> a_itor = np.lib.Arrayterator(a, 2)
>>> for subarr in a_itor.flat:
... if not subarr:
... print(subarr, type(subarr))
...
0 <class 'numpy.int64'>
"""
for block in self:
yield from block.flat
@property
def shape(self):
"""
The shape of the array to be iterated over.
For an example, see `Arrayterator`.
"""
return tuple(((stop-start-1)//step+1) for start, stop, step in
zip(self.start, self.stop, self.step))
def __iter__(self):
# Skip arrays with degenerate dimensions
if [dim for dim in self.shape if dim <= 0]:
return
start = self.start[:]
stop = self.stop[:]
step = self.step[:]
ndims = self.var.ndim
while True:
count = self.buf_size or reduce(mul, self.shape)
# iterate over each dimension, looking for the
# running dimension (ie, the dimension along which
# the blocks will be built from)
rundim = 0
for i in range(ndims-1, -1, -1):
# if count is zero we ran out of elements to read
# along higher dimensions, so we read only a single position
if count == 0:
stop[i] = start[i]+1
elif count <= self.shape[i]:
# limit along this dimension
stop[i] = start[i] + count*step[i]
rundim = i
else:
# read everything along this dimension
stop[i] = self.stop[i]
stop[i] = min(self.stop[i], stop[i])
count = count//self.shape[i]
# yield a block
slice_ = tuple(slice(*t) for t in zip(start, stop, step))
yield self.var[slice_]
# Update start position, taking care of overflow to
# other dimensions
start[rundim] = stop[rundim] # start where we stopped
for i in range(ndims-1, 0, -1):
if start[i] >= self.stop[i]:
start[i] = self.start[i]
start[i-1] += self.step[i-1]
if start[0] >= self.stop[0]:
return
@@ -0,0 +1,49 @@
from collections.abc import Generator
from typing import (
Any,
TypeVar,
Union,
overload,
)
from numpy import ndarray, dtype, generic
from numpy._typing import DTypeLike
# TODO: Set a shape bound once we've got proper shape support
_Shape = TypeVar("_Shape", bound=Any)
_DType = TypeVar("_DType", bound=dtype[Any])
_ScalarType = TypeVar("_ScalarType", bound=generic)
_Index = Union[
Union[ellipsis, int, slice],
tuple[Union[ellipsis, int, slice], ...],
]
__all__: list[str]
# NOTE: In reality `Arrayterator` does not actually inherit from `ndarray`,
# but its ``__getattr__` method does wrap around the former and thus has
# access to all its methods
class Arrayterator(ndarray[_Shape, _DType]):
var: ndarray[_Shape, _DType] # type: ignore[assignment]
buf_size: None | int
start: list[int]
stop: list[int]
step: list[int]
@property # type: ignore[misc]
def shape(self) -> tuple[int, ...]: ...
@property
def flat( # type: ignore[override]
self: ndarray[Any, dtype[_ScalarType]]
) -> Generator[_ScalarType, None, None]: ...
def __init__(
self, var: ndarray[_Shape, _DType], buf_size: None | int = ...
) -> None: ...
@overload
def __array__(self, dtype: None = ...) -> ndarray[Any, _DType]: ...
@overload
def __array__(self, dtype: DTypeLike) -> ndarray[Any, dtype[Any]]: ...
def __getitem__(self, index: _Index) -> Arrayterator[Any, _DType]: ...
def __iter__(self) -> Generator[ndarray[Any, _DType], None, None]: ...
@@ -0,0 +1,976 @@
"""
Binary serialization
NPY format
==========
A simple format for saving numpy arrays to disk with the full
information about them.
The ``.npy`` format is the standard binary file format in NumPy for
persisting a *single* arbitrary NumPy array on disk. The format stores all
of the shape and dtype information necessary to reconstruct the array
correctly even on another machine with a different architecture.
The format is designed to be as simple as possible while achieving
its limited goals.
The ``.npz`` format is the standard format for persisting *multiple* NumPy
arrays on disk. A ``.npz`` file is a zip file containing multiple ``.npy``
files, one for each array.
Capabilities
------------
- Can represent all NumPy arrays including nested record arrays and
object arrays.
- Represents the data in its native binary form.
- Supports Fortran-contiguous arrays directly.
- Stores all of the necessary information to reconstruct the array
including shape and dtype on a machine of a different
architecture. Both little-endian and big-endian arrays are
supported, and a file with little-endian numbers will yield
a little-endian array on any machine reading the file. The
types are described in terms of their actual sizes. For example,
if a machine with a 64-bit C "long int" writes out an array with
"long ints", a reading machine with 32-bit C "long ints" will yield
an array with 64-bit integers.
- Is straightforward to reverse engineer. Datasets often live longer than
the programs that created them. A competent developer should be
able to create a solution in their preferred programming language to
read most ``.npy`` files that they have been given without much
documentation.
- Allows memory-mapping of the data. See `open_memmap`.
- Can be read from a filelike stream object instead of an actual file.
- Stores object arrays, i.e. arrays containing elements that are arbitrary
Python objects. Files with object arrays are not to be mmapable, but
can be read and written to disk.
Limitations
-----------
- Arbitrary subclasses of numpy.ndarray are not completely preserved.
Subclasses will be accepted for writing, but only the array data will
be written out. A regular numpy.ndarray object will be created
upon reading the file.
.. warning::
Due to limitations in the interpretation of structured dtypes, dtypes
with fields with empty names will have the names replaced by 'f0', 'f1',
etc. Such arrays will not round-trip through the format entirely
accurately. The data is intact; only the field names will differ. We are
working on a fix for this. This fix will not require a change in the
file format. The arrays with such structures can still be saved and
restored, and the correct dtype may be restored by using the
``loadedarray.view(correct_dtype)`` method.
File extensions
---------------
We recommend using the ``.npy`` and ``.npz`` extensions for files saved
in this format. This is by no means a requirement; applications may wish
to use these file formats but use an extension specific to the
application. In the absence of an obvious alternative, however,
we suggest using ``.npy`` and ``.npz``.
Version numbering
-----------------
The version numbering of these formats is independent of NumPy version
numbering. If the format is upgraded, the code in `numpy.io` will still
be able to read and write Version 1.0 files.
Format Version 1.0
------------------
The first 6 bytes are a magic string: exactly ``\\x93NUMPY``.
The next 1 byte is an unsigned byte: the major version number of the file
format, e.g. ``\\x01``.
The next 1 byte is an unsigned byte: the minor version number of the file
format, e.g. ``\\x00``. Note: the version of the file format is not tied
to the version of the numpy package.
The next 2 bytes form a little-endian unsigned short int: the length of
the header data HEADER_LEN.
The next HEADER_LEN bytes form the header data describing the array's
format. It is an ASCII string which contains a Python literal expression
of a dictionary. It is terminated by a newline (``\\n``) and padded with
spaces (``\\x20``) to make the total of
``len(magic string) + 2 + len(length) + HEADER_LEN`` be evenly divisible
by 64 for alignment purposes.
The dictionary contains three keys:
"descr" : dtype.descr
An object that can be passed as an argument to the `numpy.dtype`
constructor to create the array's dtype.
"fortran_order" : bool
Whether the array data is Fortran-contiguous or not. Since
Fortran-contiguous arrays are a common form of non-C-contiguity,
we allow them to be written directly to disk for efficiency.
"shape" : tuple of int
The shape of the array.
For repeatability and readability, the dictionary keys are sorted in
alphabetic order. This is for convenience only. A writer SHOULD implement
this if possible. A reader MUST NOT depend on this.
Following the header comes the array data. If the dtype contains Python
objects (i.e. ``dtype.hasobject is True``), then the data is a Python
pickle of the array. Otherwise the data is the contiguous (either C-
or Fortran-, depending on ``fortran_order``) bytes of the array.
Consumers can figure out the number of bytes by multiplying the number
of elements given by the shape (noting that ``shape=()`` means there is
1 element) by ``dtype.itemsize``.
Format Version 2.0
------------------
The version 1.0 format only allowed the array header to have a total size of
65535 bytes. This can be exceeded by structured arrays with a large number of
columns. The version 2.0 format extends the header size to 4 GiB.
`numpy.save` will automatically save in 2.0 format if the data requires it,
else it will always use the more compatible 1.0 format.
The description of the fourth element of the header therefore has become:
"The next 4 bytes form a little-endian unsigned int: the length of the header
data HEADER_LEN."
Format Version 3.0
------------------
This version replaces the ASCII string (which in practice was latin1) with
a utf8-encoded string, so supports structured types with any unicode field
names.
Notes
-----
The ``.npy`` format, including motivation for creating it and a comparison of
alternatives, is described in the
:doc:`"npy-format" NEP <neps:nep-0001-npy-format>`, however details have
evolved with time and this document is more current.
"""
import numpy
import warnings
from numpy.lib.utils import safe_eval, drop_metadata
from numpy.compat import (
isfileobj, os_fspath, pickle
)
__all__ = []
EXPECTED_KEYS = {'descr', 'fortran_order', 'shape'}
MAGIC_PREFIX = b'\x93NUMPY'
MAGIC_LEN = len(MAGIC_PREFIX) + 2
ARRAY_ALIGN = 64 # plausible values are powers of 2 between 16 and 4096
BUFFER_SIZE = 2**18 # size of buffer for reading npz files in bytes
# allow growth within the address space of a 64 bit machine along one axis
GROWTH_AXIS_MAX_DIGITS = 21 # = len(str(8*2**64-1)) hypothetical int1 dtype
# difference between version 1.0 and 2.0 is a 4 byte (I) header length
# instead of 2 bytes (H) allowing storage of large structured arrays
_header_size_info = {
(1, 0): ('<H', 'latin1'),
(2, 0): ('<I', 'latin1'),
(3, 0): ('<I', 'utf8'),
}
# Python's literal_eval is not actually safe for large inputs, since parsing
# may become slow or even cause interpreter crashes.
# This is an arbitrary, low limit which should make it safe in practice.
_MAX_HEADER_SIZE = 10000
def _check_version(version):
if version not in [(1, 0), (2, 0), (3, 0), None]:
msg = "we only support format version (1,0), (2,0), and (3,0), not %s"
raise ValueError(msg % (version,))
def magic(major, minor):
""" Return the magic string for the given file format version.
Parameters
----------
major : int in [0, 255]
minor : int in [0, 255]
Returns
-------
magic : str
Raises
------
ValueError if the version cannot be formatted.
"""
if major < 0 or major > 255:
raise ValueError("major version must be 0 <= major < 256")
if minor < 0 or minor > 255:
raise ValueError("minor version must be 0 <= minor < 256")
return MAGIC_PREFIX + bytes([major, minor])
def read_magic(fp):
""" Read the magic string to get the version of the file format.
Parameters
----------
fp : filelike object
Returns
-------
major : int
minor : int
"""
magic_str = _read_bytes(fp, MAGIC_LEN, "magic string")
if magic_str[:-2] != MAGIC_PREFIX:
msg = "the magic string is not correct; expected %r, got %r"
raise ValueError(msg % (MAGIC_PREFIX, magic_str[:-2]))
major, minor = magic_str[-2:]
return major, minor
def dtype_to_descr(dtype):
"""
Get a serializable descriptor from the dtype.
The .descr attribute of a dtype object cannot be round-tripped through
the dtype() constructor. Simple types, like dtype('float32'), have
a descr which looks like a record array with one field with '' as
a name. The dtype() constructor interprets this as a request to give
a default name. Instead, we construct descriptor that can be passed to
dtype().
Parameters
----------
dtype : dtype
The dtype of the array that will be written to disk.
Returns
-------
descr : object
An object that can be passed to `numpy.dtype()` in order to
replicate the input dtype.
"""
# NOTE: that drop_metadata may not return the right dtype e.g. for user
# dtypes. In that case our code below would fail the same, though.
new_dtype = drop_metadata(dtype)
if new_dtype is not dtype:
warnings.warn("metadata on a dtype is not saved to an npy/npz. "
"Use another format (such as pickle) to store it.",
UserWarning, stacklevel=2)
if dtype.names is not None:
# This is a record array. The .descr is fine. XXX: parts of the
# record array with an empty name, like padding bytes, still get
# fiddled with. This needs to be fixed in the C implementation of
# dtype().
return dtype.descr
else:
return dtype.str
def descr_to_dtype(descr):
"""
Returns a dtype based off the given description.
This is essentially the reverse of `dtype_to_descr()`. It will remove
the valueless padding fields created by, i.e. simple fields like
dtype('float32'), and then convert the description to its corresponding
dtype.
Parameters
----------
descr : object
The object retrieved by dtype.descr. Can be passed to
`numpy.dtype()` in order to replicate the input dtype.
Returns
-------
dtype : dtype
The dtype constructed by the description.
"""
if isinstance(descr, str):
# No padding removal needed
return numpy.dtype(descr)
elif isinstance(descr, tuple):
# subtype, will always have a shape descr[1]
dt = descr_to_dtype(descr[0])
return numpy.dtype((dt, descr[1]))
titles = []
names = []
formats = []
offsets = []
offset = 0
for field in descr:
if len(field) == 2:
name, descr_str = field
dt = descr_to_dtype(descr_str)
else:
name, descr_str, shape = field
dt = numpy.dtype((descr_to_dtype(descr_str), shape))
# Ignore padding bytes, which will be void bytes with '' as name
# Once support for blank names is removed, only "if name == ''" needed)
is_pad = (name == '' and dt.type is numpy.void and dt.names is None)
if not is_pad:
title, name = name if isinstance(name, tuple) else (None, name)
titles.append(title)
names.append(name)
formats.append(dt)
offsets.append(offset)
offset += dt.itemsize
return numpy.dtype({'names': names, 'formats': formats, 'titles': titles,
'offsets': offsets, 'itemsize': offset})
def header_data_from_array_1_0(array):
""" Get the dictionary of header metadata from a numpy.ndarray.
Parameters
----------
array : numpy.ndarray
Returns
-------
d : dict
This has the appropriate entries for writing its string representation
to the header of the file.
"""
d = {'shape': array.shape}
if array.flags.c_contiguous:
d['fortran_order'] = False
elif array.flags.f_contiguous:
d['fortran_order'] = True
else:
# Totally non-contiguous data. We will have to make it C-contiguous
# before writing. Note that we need to test for C_CONTIGUOUS first
# because a 1-D array is both C_CONTIGUOUS and F_CONTIGUOUS.
d['fortran_order'] = False
d['descr'] = dtype_to_descr(array.dtype)
return d
def _wrap_header(header, version):
"""
Takes a stringified header, and attaches the prefix and padding to it
"""
import struct
assert version is not None
fmt, encoding = _header_size_info[version]
header = header.encode(encoding)
hlen = len(header) + 1
padlen = ARRAY_ALIGN - ((MAGIC_LEN + struct.calcsize(fmt) + hlen) % ARRAY_ALIGN)
try:
header_prefix = magic(*version) + struct.pack(fmt, hlen + padlen)
except struct.error:
msg = "Header length {} too big for version={}".format(hlen, version)
raise ValueError(msg) from None
# Pad the header with spaces and a final newline such that the magic
# string, the header-length short and the header are aligned on a
# ARRAY_ALIGN byte boundary. This supports memory mapping of dtypes
# aligned up to ARRAY_ALIGN on systems like Linux where mmap()
# offset must be page-aligned (i.e. the beginning of the file).
return header_prefix + header + b' '*padlen + b'\n'
def _wrap_header_guess_version(header):
"""
Like `_wrap_header`, but chooses an appropriate version given the contents
"""
try:
return _wrap_header(header, (1, 0))
except ValueError:
pass
try:
ret = _wrap_header(header, (2, 0))
except UnicodeEncodeError:
pass
else:
warnings.warn("Stored array in format 2.0. It can only be"
"read by NumPy >= 1.9", UserWarning, stacklevel=2)
return ret
header = _wrap_header(header, (3, 0))
warnings.warn("Stored array in format 3.0. It can only be "
"read by NumPy >= 1.17", UserWarning, stacklevel=2)
return header
def _write_array_header(fp, d, version=None):
""" Write the header for an array and returns the version used
Parameters
----------
fp : filelike object
d : dict
This has the appropriate entries for writing its string representation
to the header of the file.
version : tuple or None
None means use oldest that works. Providing an explicit version will
raise a ValueError if the format does not allow saving this data.
Default: None
"""
header = ["{"]
for key, value in sorted(d.items()):
# Need to use repr here, since we eval these when reading
header.append("'%s': %s, " % (key, repr(value)))
header.append("}")
header = "".join(header)
# Add some spare space so that the array header can be modified in-place
# when changing the array size, e.g. when growing it by appending data at
# the end.
shape = d['shape']
header += " " * ((GROWTH_AXIS_MAX_DIGITS - len(repr(
shape[-1 if d['fortran_order'] else 0]
))) if len(shape) > 0 else 0)
if version is None:
header = _wrap_header_guess_version(header)
else:
header = _wrap_header(header, version)
fp.write(header)
def write_array_header_1_0(fp, d):
""" Write the header for an array using the 1.0 format.
Parameters
----------
fp : filelike object
d : dict
This has the appropriate entries for writing its string
representation to the header of the file.
"""
_write_array_header(fp, d, (1, 0))
def write_array_header_2_0(fp, d):
""" Write the header for an array using the 2.0 format.
The 2.0 format allows storing very large structured arrays.
.. versionadded:: 1.9.0
Parameters
----------
fp : filelike object
d : dict
This has the appropriate entries for writing its string
representation to the header of the file.
"""
_write_array_header(fp, d, (2, 0))
def read_array_header_1_0(fp, max_header_size=_MAX_HEADER_SIZE):
"""
Read an array header from a filelike object using the 1.0 file format
version.
This will leave the file object located just after the header.
Parameters
----------
fp : filelike object
A file object or something with a `.read()` method like a file.
Returns
-------
shape : tuple of int
The shape of the array.
fortran_order : bool
The array data will be written out directly if it is either
C-contiguous or Fortran-contiguous. Otherwise, it will be made
contiguous before writing it out.
dtype : dtype
The dtype of the file's data.
max_header_size : int, optional
Maximum allowed size of the header. Large headers may not be safe
to load securely and thus require explicitly passing a larger value.
See :py:func:`ast.literal_eval()` for details.
Raises
------
ValueError
If the data is invalid.
"""
return _read_array_header(
fp, version=(1, 0), max_header_size=max_header_size)
def read_array_header_2_0(fp, max_header_size=_MAX_HEADER_SIZE):
"""
Read an array header from a filelike object using the 2.0 file format
version.
This will leave the file object located just after the header.
.. versionadded:: 1.9.0
Parameters
----------
fp : filelike object
A file object or something with a `.read()` method like a file.
max_header_size : int, optional
Maximum allowed size of the header. Large headers may not be safe
to load securely and thus require explicitly passing a larger value.
See :py:func:`ast.literal_eval()` for details.
Returns
-------
shape : tuple of int
The shape of the array.
fortran_order : bool
The array data will be written out directly if it is either
C-contiguous or Fortran-contiguous. Otherwise, it will be made
contiguous before writing it out.
dtype : dtype
The dtype of the file's data.
Raises
------
ValueError
If the data is invalid.
"""
return _read_array_header(
fp, version=(2, 0), max_header_size=max_header_size)
def _filter_header(s):
"""Clean up 'L' in npz header ints.
Cleans up the 'L' in strings representing integers. Needed to allow npz
headers produced in Python2 to be read in Python3.
Parameters
----------
s : string
Npy file header.
Returns
-------
header : str
Cleaned up header.
"""
import tokenize
from io import StringIO
tokens = []
last_token_was_number = False
for token in tokenize.generate_tokens(StringIO(s).readline):
token_type = token[0]
token_string = token[1]
if (last_token_was_number and
token_type == tokenize.NAME and
token_string == "L"):
continue
else:
tokens.append(token)
last_token_was_number = (token_type == tokenize.NUMBER)
return tokenize.untokenize(tokens)
def _read_array_header(fp, version, max_header_size=_MAX_HEADER_SIZE):
"""
see read_array_header_1_0
"""
# Read an unsigned, little-endian short int which has the length of the
# header.
import struct
hinfo = _header_size_info.get(version)
if hinfo is None:
raise ValueError("Invalid version {!r}".format(version))
hlength_type, encoding = hinfo
hlength_str = _read_bytes(fp, struct.calcsize(hlength_type), "array header length")
header_length = struct.unpack(hlength_type, hlength_str)[0]
header = _read_bytes(fp, header_length, "array header")
header = header.decode(encoding)
if len(header) > max_header_size:
raise ValueError(
f"Header info length ({len(header)}) is large and may not be safe "
"to load securely.\n"
"To allow loading, adjust `max_header_size` or fully trust "
"the `.npy` file using `allow_pickle=True`.\n"
"For safety against large resource use or crashes, sandboxing "
"may be necessary.")
# The header is a pretty-printed string representation of a literal
# Python dictionary with trailing newlines padded to a ARRAY_ALIGN byte
# boundary. The keys are strings.
# "shape" : tuple of int
# "fortran_order" : bool
# "descr" : dtype.descr
# Versions (2, 0) and (1, 0) could have been created by a Python 2
# implementation before header filtering was implemented.
#
# For performance reasons, we try without _filter_header first though
try:
d = safe_eval(header)
except SyntaxError as e:
if version <= (2, 0):
header = _filter_header(header)
try:
d = safe_eval(header)
except SyntaxError as e2:
msg = "Cannot parse header: {!r}"
raise ValueError(msg.format(header)) from e2
else:
warnings.warn(
"Reading `.npy` or `.npz` file required additional "
"header parsing as it was created on Python 2. Save the "
"file again to speed up loading and avoid this warning.",
UserWarning, stacklevel=4)
else:
msg = "Cannot parse header: {!r}"
raise ValueError(msg.format(header)) from e
if not isinstance(d, dict):
msg = "Header is not a dictionary: {!r}"
raise ValueError(msg.format(d))
if EXPECTED_KEYS != d.keys():
keys = sorted(d.keys())
msg = "Header does not contain the correct keys: {!r}"
raise ValueError(msg.format(keys))
# Sanity-check the values.
if (not isinstance(d['shape'], tuple) or
not all(isinstance(x, int) for x in d['shape'])):
msg = "shape is not valid: {!r}"
raise ValueError(msg.format(d['shape']))
if not isinstance(d['fortran_order'], bool):
msg = "fortran_order is not a valid bool: {!r}"
raise ValueError(msg.format(d['fortran_order']))
try:
dtype = descr_to_dtype(d['descr'])
except TypeError as e:
msg = "descr is not a valid dtype descriptor: {!r}"
raise ValueError(msg.format(d['descr'])) from e
return d['shape'], d['fortran_order'], dtype
def write_array(fp, array, version=None, allow_pickle=True, pickle_kwargs=None):
"""
Write an array to an NPY file, including a header.
If the array is neither C-contiguous nor Fortran-contiguous AND the
file_like object is not a real file object, this function will have to
copy data in memory.
Parameters
----------
fp : file_like object
An open, writable file object, or similar object with a
``.write()`` method.
array : ndarray
The array to write to disk.
version : (int, int) or None, optional
The version number of the format. None means use the oldest
supported version that is able to store the data. Default: None
allow_pickle : bool, optional
Whether to allow writing pickled data. Default: True
pickle_kwargs : dict, optional
Additional keyword arguments to pass to pickle.dump, excluding
'protocol'. These are only useful when pickling objects in object
arrays on Python 3 to Python 2 compatible format.
Raises
------
ValueError
If the array cannot be persisted. This includes the case of
allow_pickle=False and array being an object array.
Various other errors
If the array contains Python objects as part of its dtype, the
process of pickling them may raise various errors if the objects
are not picklable.
"""
_check_version(version)
_write_array_header(fp, header_data_from_array_1_0(array), version)
if array.itemsize == 0:
buffersize = 0
else:
# Set buffer size to 16 MiB to hide the Python loop overhead.
buffersize = max(16 * 1024 ** 2 // array.itemsize, 1)
if array.dtype.hasobject:
# We contain Python objects so we cannot write out the data
# directly. Instead, we will pickle it out
if not allow_pickle:
raise ValueError("Object arrays cannot be saved when "
"allow_pickle=False")
if pickle_kwargs is None:
pickle_kwargs = {}
pickle.dump(array, fp, protocol=3, **pickle_kwargs)
elif array.flags.f_contiguous and not array.flags.c_contiguous:
if isfileobj(fp):
array.T.tofile(fp)
else:
for chunk in numpy.nditer(
array, flags=['external_loop', 'buffered', 'zerosize_ok'],
buffersize=buffersize, order='F'):
fp.write(chunk.tobytes('C'))
else:
if isfileobj(fp):
array.tofile(fp)
else:
for chunk in numpy.nditer(
array, flags=['external_loop', 'buffered', 'zerosize_ok'],
buffersize=buffersize, order='C'):
fp.write(chunk.tobytes('C'))
def read_array(fp, allow_pickle=False, pickle_kwargs=None, *,
max_header_size=_MAX_HEADER_SIZE):
"""
Read an array from an NPY file.
Parameters
----------
fp : file_like object
If this is not a real file object, then this may take extra memory
and time.
allow_pickle : bool, optional
Whether to allow writing pickled data. Default: False
.. versionchanged:: 1.16.3
Made default False in response to CVE-2019-6446.
pickle_kwargs : dict
Additional keyword arguments to pass to pickle.load. These are only
useful when loading object arrays saved on Python 2 when using
Python 3.
max_header_size : int, optional
Maximum allowed size of the header. Large headers may not be safe
to load securely and thus require explicitly passing a larger value.
See :py:func:`ast.literal_eval()` for details.
This option is ignored when `allow_pickle` is passed. In that case
the file is by definition trusted and the limit is unnecessary.
Returns
-------
array : ndarray
The array from the data on disk.
Raises
------
ValueError
If the data is invalid, or allow_pickle=False and the file contains
an object array.
"""
if allow_pickle:
# Effectively ignore max_header_size, since `allow_pickle` indicates
# that the input is fully trusted.
max_header_size = 2**64
version = read_magic(fp)
_check_version(version)
shape, fortran_order, dtype = _read_array_header(
fp, version, max_header_size=max_header_size)
if len(shape) == 0:
count = 1
else:
count = numpy.multiply.reduce(shape, dtype=numpy.int64)
# Now read the actual data.
if dtype.hasobject:
# The array contained Python objects. We need to unpickle the data.
if not allow_pickle:
raise ValueError("Object arrays cannot be loaded when "
"allow_pickle=False")
if pickle_kwargs is None:
pickle_kwargs = {}
try:
array = pickle.load(fp, **pickle_kwargs)
except UnicodeError as err:
# Friendlier error message
raise UnicodeError("Unpickling a python object failed: %r\n"
"You may need to pass the encoding= option "
"to numpy.load" % (err,)) from err
else:
if isfileobj(fp):
# We can use the fast fromfile() function.
array = numpy.fromfile(fp, dtype=dtype, count=count)
else:
# This is not a real file. We have to read it the
# memory-intensive way.
# crc32 module fails on reads greater than 2 ** 32 bytes,
# breaking large reads from gzip streams. Chunk reads to
# BUFFER_SIZE bytes to avoid issue and reduce memory overhead
# of the read. In non-chunked case count < max_read_count, so
# only one read is performed.
# Use np.ndarray instead of np.empty since the latter does
# not correctly instantiate zero-width string dtypes; see
# https://github.com/numpy/numpy/pull/6430
array = numpy.ndarray(count, dtype=dtype)
if dtype.itemsize > 0:
# If dtype.itemsize == 0 then there's nothing more to read
max_read_count = BUFFER_SIZE // min(BUFFER_SIZE, dtype.itemsize)
for i in range(0, count, max_read_count):
read_count = min(max_read_count, count - i)
read_size = int(read_count * dtype.itemsize)
data = _read_bytes(fp, read_size, "array data")
array[i:i+read_count] = numpy.frombuffer(data, dtype=dtype,
count=read_count)
if fortran_order:
array.shape = shape[::-1]
array = array.transpose()
else:
array.shape = shape
return array
def open_memmap(filename, mode='r+', dtype=None, shape=None,
fortran_order=False, version=None, *,
max_header_size=_MAX_HEADER_SIZE):
"""
Open a .npy file as a memory-mapped array.
This may be used to read an existing file or create a new one.
Parameters
----------
filename : str or path-like
The name of the file on disk. This may *not* be a file-like
object.
mode : str, optional
The mode in which to open the file; the default is 'r+'. In
addition to the standard file modes, 'c' is also accepted to mean
"copy on write." See `memmap` for the available mode strings.
dtype : data-type, optional
The data type of the array if we are creating a new file in "write"
mode, if not, `dtype` is ignored. The default value is None, which
results in a data-type of `float64`.
shape : tuple of int
The shape of the array if we are creating a new file in "write"
mode, in which case this parameter is required. Otherwise, this
parameter is ignored and is thus optional.
fortran_order : bool, optional
Whether the array should be Fortran-contiguous (True) or
C-contiguous (False, the default) if we are creating a new file in
"write" mode.
version : tuple of int (major, minor) or None
If the mode is a "write" mode, then this is the version of the file
format used to create the file. None means use the oldest
supported version that is able to store the data. Default: None
max_header_size : int, optional
Maximum allowed size of the header. Large headers may not be safe
to load securely and thus require explicitly passing a larger value.
See :py:func:`ast.literal_eval()` for details.
Returns
-------
marray : memmap
The memory-mapped array.
Raises
------
ValueError
If the data or the mode is invalid.
OSError
If the file is not found or cannot be opened correctly.
See Also
--------
numpy.memmap
"""
if isfileobj(filename):
raise ValueError("Filename must be a string or a path-like object."
" Memmap cannot use existing file handles.")
if 'w' in mode:
# We are creating the file, not reading it.
# Check if we ought to create the file.
_check_version(version)
# Ensure that the given dtype is an authentic dtype object rather
# than just something that can be interpreted as a dtype object.
dtype = numpy.dtype(dtype)
if dtype.hasobject:
msg = "Array can't be memory-mapped: Python objects in dtype."
raise ValueError(msg)
d = dict(
descr=dtype_to_descr(dtype),
fortran_order=fortran_order,
shape=shape,
)
# If we got here, then it should be safe to create the file.
with open(os_fspath(filename), mode+'b') as fp:
_write_array_header(fp, d, version)
offset = fp.tell()
else:
# Read the header of the file first.
with open(os_fspath(filename), 'rb') as fp:
version = read_magic(fp)
_check_version(version)
shape, fortran_order, dtype = _read_array_header(
fp, version, max_header_size=max_header_size)
if dtype.hasobject:
msg = "Array can't be memory-mapped: Python objects in dtype."
raise ValueError(msg)
offset = fp.tell()
if fortran_order:
order = 'F'
else:
order = 'C'
# We need to change a write-only mode to a read-write mode since we've
# already written data to the file.
if mode == 'w+':
mode = 'r+'
marray = numpy.memmap(filename, dtype=dtype, shape=shape, order=order,
mode=mode, offset=offset)
return marray
def _read_bytes(fp, size, error_template="ran out of data"):
"""
Read from file-like object until size bytes are read.
Raises ValueError if not EOF is encountered before size bytes are read.
Non-blocking objects only supported if they derive from io objects.
Required as e.g. ZipExtFile in python 2.6 can return less data than
requested.
"""
data = bytes()
while True:
# io files (default in python3) return None or raise on
# would-block, python2 file will truncate, probably nothing can be
# done about that. note that regular files can't be non-blocking
try:
r = fp.read(size - len(data))
data += r
if len(r) == 0 or len(data) == size:
break
except BlockingIOError:
pass
if len(data) != size:
msg = "EOF: reading %s, expected %d bytes got %d"
raise ValueError(msg % (error_template, size, len(data)))
else:
return data
@@ -0,0 +1,22 @@
from typing import Any, Literal, Final
__all__: list[str]
EXPECTED_KEYS: Final[set[str]]
MAGIC_PREFIX: Final[bytes]
MAGIC_LEN: Literal[8]
ARRAY_ALIGN: Literal[64]
BUFFER_SIZE: Literal[262144] # 2**18
def magic(major, minor): ...
def read_magic(fp): ...
def dtype_to_descr(dtype): ...
def descr_to_dtype(descr): ...
def header_data_from_array_1_0(array): ...
def write_array_header_1_0(fp, d): ...
def write_array_header_2_0(fp, d): ...
def read_array_header_1_0(fp): ...
def read_array_header_2_0(fp): ...
def write_array(fp, array, version=..., allow_pickle=..., pickle_kwargs=...): ...
def read_array(fp, allow_pickle=..., pickle_kwargs=...): ...
def open_memmap(filename, mode=..., dtype=..., shape=..., fortran_order=..., version=...): ...
File diff suppressed because it is too large Load Diff
@@ -0,0 +1,697 @@
import sys
from collections.abc import Sequence, Iterator, Callable, Iterable
from typing import (
Literal as L,
Any,
TypeVar,
overload,
Protocol,
SupportsIndex,
SupportsInt,
)
if sys.version_info >= (3, 10):
from typing import TypeGuard
else:
from typing_extensions import TypeGuard
from numpy import (
vectorize as vectorize,
ufunc,
generic,
floating,
complexfloating,
intp,
float64,
complex128,
timedelta64,
datetime64,
object_,
_OrderKACF,
)
from numpy._typing import (
NDArray,
ArrayLike,
DTypeLike,
_ShapeLike,
_ScalarLike_co,
_DTypeLike,
_ArrayLike,
_ArrayLikeInt_co,
_ArrayLikeFloat_co,
_ArrayLikeComplex_co,
_ArrayLikeTD64_co,
_ArrayLikeDT64_co,
_ArrayLikeObject_co,
_FloatLike_co,
_ComplexLike_co,
)
from numpy.core.function_base import (
add_newdoc as add_newdoc,
)
from numpy.core.multiarray import (
add_docstring as add_docstring,
bincount as bincount,
)
from numpy.core.umath import _add_newdoc_ufunc
_T = TypeVar("_T")
_T_co = TypeVar("_T_co", covariant=True)
_SCT = TypeVar("_SCT", bound=generic)
_ArrayType = TypeVar("_ArrayType", bound=NDArray[Any])
_2Tuple = tuple[_T, _T]
class _TrimZerosSequence(Protocol[_T_co]):
def __len__(self) -> int: ...
def __getitem__(self, key: slice, /) -> _T_co: ...
def __iter__(self) -> Iterator[Any]: ...
class _SupportsWriteFlush(Protocol):
def write(self, s: str, /) -> object: ...
def flush(self) -> object: ...
__all__: list[str]
# NOTE: This is in reality a re-export of `np.core.umath._add_newdoc_ufunc`
def add_newdoc_ufunc(ufunc: ufunc, new_docstring: str, /) -> None: ...
@overload
def rot90(
m: _ArrayLike[_SCT],
k: int = ...,
axes: tuple[int, int] = ...,
) -> NDArray[_SCT]: ...
@overload
def rot90(
m: ArrayLike,
k: int = ...,
axes: tuple[int, int] = ...,
) -> NDArray[Any]: ...
@overload
def flip(m: _SCT, axis: None = ...) -> _SCT: ...
@overload
def flip(m: _ScalarLike_co, axis: None = ...) -> Any: ...
@overload
def flip(m: _ArrayLike[_SCT], axis: None | _ShapeLike = ...) -> NDArray[_SCT]: ...
@overload
def flip(m: ArrayLike, axis: None | _ShapeLike = ...) -> NDArray[Any]: ...
def iterable(y: object) -> TypeGuard[Iterable[Any]]: ...
@overload
def average(
a: _ArrayLikeFloat_co,
axis: None = ...,
weights: None | _ArrayLikeFloat_co= ...,
returned: L[False] = ...,
keepdims: L[False] = ...,
) -> floating[Any]: ...
@overload
def average(
a: _ArrayLikeComplex_co,
axis: None = ...,
weights: None | _ArrayLikeComplex_co = ...,
returned: L[False] = ...,
keepdims: L[False] = ...,
) -> complexfloating[Any, Any]: ...
@overload
def average(
a: _ArrayLikeObject_co,
axis: None = ...,
weights: None | Any = ...,
returned: L[False] = ...,
keepdims: L[False] = ...,
) -> Any: ...
@overload
def average(
a: _ArrayLikeFloat_co,
axis: None = ...,
weights: None | _ArrayLikeFloat_co= ...,
returned: L[True] = ...,
keepdims: L[False] = ...,
) -> _2Tuple[floating[Any]]: ...
@overload
def average(
a: _ArrayLikeComplex_co,
axis: None = ...,
weights: None | _ArrayLikeComplex_co = ...,
returned: L[True] = ...,
keepdims: L[False] = ...,
) -> _2Tuple[complexfloating[Any, Any]]: ...
@overload
def average(
a: _ArrayLikeObject_co,
axis: None = ...,
weights: None | Any = ...,
returned: L[True] = ...,
keepdims: L[False] = ...,
) -> _2Tuple[Any]: ...
@overload
def average(
a: _ArrayLikeComplex_co | _ArrayLikeObject_co,
axis: None | _ShapeLike = ...,
weights: None | Any = ...,
returned: L[False] = ...,
keepdims: bool = ...,
) -> Any: ...
@overload
def average(
a: _ArrayLikeComplex_co | _ArrayLikeObject_co,
axis: None | _ShapeLike = ...,
weights: None | Any = ...,
returned: L[True] = ...,
keepdims: bool = ...,
) -> _2Tuple[Any]: ...
@overload
def asarray_chkfinite(
a: _ArrayLike[_SCT],
dtype: None = ...,
order: _OrderKACF = ...,
) -> NDArray[_SCT]: ...
@overload
def asarray_chkfinite(
a: object,
dtype: None = ...,
order: _OrderKACF = ...,
) -> NDArray[Any]: ...
@overload
def asarray_chkfinite(
a: Any,
dtype: _DTypeLike[_SCT],
order: _OrderKACF = ...,
) -> NDArray[_SCT]: ...
@overload
def asarray_chkfinite(
a: Any,
dtype: DTypeLike,
order: _OrderKACF = ...,
) -> NDArray[Any]: ...
# TODO: Use PEP 612 `ParamSpec` once mypy supports `Concatenate`
# xref python/mypy#8645
@overload
def piecewise(
x: _ArrayLike[_SCT],
condlist: ArrayLike,
funclist: Sequence[Any | Callable[..., Any]],
*args: Any,
**kw: Any,
) -> NDArray[_SCT]: ...
@overload
def piecewise(
x: ArrayLike,
condlist: ArrayLike,
funclist: Sequence[Any | Callable[..., Any]],
*args: Any,
**kw: Any,
) -> NDArray[Any]: ...
def select(
condlist: Sequence[ArrayLike],
choicelist: Sequence[ArrayLike],
default: ArrayLike = ...,
) -> NDArray[Any]: ...
@overload
def copy(
a: _ArrayType,
order: _OrderKACF,
subok: L[True],
) -> _ArrayType: ...
@overload
def copy(
a: _ArrayType,
order: _OrderKACF = ...,
*,
subok: L[True],
) -> _ArrayType: ...
@overload
def copy(
a: _ArrayLike[_SCT],
order: _OrderKACF = ...,
subok: L[False] = ...,
) -> NDArray[_SCT]: ...
@overload
def copy(
a: ArrayLike,
order: _OrderKACF = ...,
subok: L[False] = ...,
) -> NDArray[Any]: ...
def gradient(
f: ArrayLike,
*varargs: ArrayLike,
axis: None | _ShapeLike = ...,
edge_order: L[1, 2] = ...,
) -> Any: ...
@overload
def diff(
a: _T,
n: L[0],
axis: SupportsIndex = ...,
prepend: ArrayLike = ...,
append: ArrayLike = ...,
) -> _T: ...
@overload
def diff(
a: ArrayLike,
n: int = ...,
axis: SupportsIndex = ...,
prepend: ArrayLike = ...,
append: ArrayLike = ...,
) -> NDArray[Any]: ...
@overload
def interp(
x: _ArrayLikeFloat_co,
xp: _ArrayLikeFloat_co,
fp: _ArrayLikeFloat_co,
left: None | _FloatLike_co = ...,
right: None | _FloatLike_co = ...,
period: None | _FloatLike_co = ...,
) -> NDArray[float64]: ...
@overload
def interp(
x: _ArrayLikeFloat_co,
xp: _ArrayLikeFloat_co,
fp: _ArrayLikeComplex_co,
left: None | _ComplexLike_co = ...,
right: None | _ComplexLike_co = ...,
period: None | _FloatLike_co = ...,
) -> NDArray[complex128]: ...
@overload
def angle(z: _ComplexLike_co, deg: bool = ...) -> floating[Any]: ...
@overload
def angle(z: object_, deg: bool = ...) -> Any: ...
@overload
def angle(z: _ArrayLikeComplex_co, deg: bool = ...) -> NDArray[floating[Any]]: ...
@overload
def angle(z: _ArrayLikeObject_co, deg: bool = ...) -> NDArray[object_]: ...
@overload
def unwrap(
p: _ArrayLikeFloat_co,
discont: None | float = ...,
axis: int = ...,
*,
period: float = ...,
) -> NDArray[floating[Any]]: ...
@overload
def unwrap(
p: _ArrayLikeObject_co,
discont: None | float = ...,
axis: int = ...,
*,
period: float = ...,
) -> NDArray[object_]: ...
def sort_complex(a: ArrayLike) -> NDArray[complexfloating[Any, Any]]: ...
def trim_zeros(
filt: _TrimZerosSequence[_T],
trim: L["f", "b", "fb", "bf"] = ...,
) -> _T: ...
@overload
def extract(condition: ArrayLike, arr: _ArrayLike[_SCT]) -> NDArray[_SCT]: ...
@overload
def extract(condition: ArrayLike, arr: ArrayLike) -> NDArray[Any]: ...
def place(arr: NDArray[Any], mask: ArrayLike, vals: Any) -> None: ...
def disp(
mesg: object,
device: None | _SupportsWriteFlush = ...,
linefeed: bool = ...,
) -> None: ...
@overload
def cov(
m: _ArrayLikeFloat_co,
y: None | _ArrayLikeFloat_co = ...,
rowvar: bool = ...,
bias: bool = ...,
ddof: None | SupportsIndex | SupportsInt = ...,
fweights: None | ArrayLike = ...,
aweights: None | ArrayLike = ...,
*,
dtype: None = ...,
) -> NDArray[floating[Any]]: ...
@overload
def cov(
m: _ArrayLikeComplex_co,
y: None | _ArrayLikeComplex_co = ...,
rowvar: bool = ...,
bias: bool = ...,
ddof: None | SupportsIndex | SupportsInt = ...,
fweights: None | ArrayLike = ...,
aweights: None | ArrayLike = ...,
*,
dtype: None = ...,
) -> NDArray[complexfloating[Any, Any]]: ...
@overload
def cov(
m: _ArrayLikeComplex_co,
y: None | _ArrayLikeComplex_co = ...,
rowvar: bool = ...,
bias: bool = ...,
ddof: None | SupportsIndex | SupportsInt = ...,
fweights: None | ArrayLike = ...,
aweights: None | ArrayLike = ...,
*,
dtype: _DTypeLike[_SCT],
) -> NDArray[_SCT]: ...
@overload
def cov(
m: _ArrayLikeComplex_co,
y: None | _ArrayLikeComplex_co = ...,
rowvar: bool = ...,
bias: bool = ...,
ddof: None | SupportsIndex | SupportsInt = ...,
fweights: None | ArrayLike = ...,
aweights: None | ArrayLike = ...,
*,
dtype: DTypeLike,
) -> NDArray[Any]: ...
# NOTE `bias` and `ddof` have been deprecated
@overload
def corrcoef(
m: _ArrayLikeFloat_co,
y: None | _ArrayLikeFloat_co = ...,
rowvar: bool = ...,
*,
dtype: None = ...,
) -> NDArray[floating[Any]]: ...
@overload
def corrcoef(
m: _ArrayLikeComplex_co,
y: None | _ArrayLikeComplex_co = ...,
rowvar: bool = ...,
*,
dtype: None = ...,
) -> NDArray[complexfloating[Any, Any]]: ...
@overload
def corrcoef(
m: _ArrayLikeComplex_co,
y: None | _ArrayLikeComplex_co = ...,
rowvar: bool = ...,
*,
dtype: _DTypeLike[_SCT],
) -> NDArray[_SCT]: ...
@overload
def corrcoef(
m: _ArrayLikeComplex_co,
y: None | _ArrayLikeComplex_co = ...,
rowvar: bool = ...,
*,
dtype: DTypeLike,
) -> NDArray[Any]: ...
def blackman(M: _FloatLike_co) -> NDArray[floating[Any]]: ...
def bartlett(M: _FloatLike_co) -> NDArray[floating[Any]]: ...
def hanning(M: _FloatLike_co) -> NDArray[floating[Any]]: ...
def hamming(M: _FloatLike_co) -> NDArray[floating[Any]]: ...
def i0(x: _ArrayLikeFloat_co) -> NDArray[floating[Any]]: ...
def kaiser(
M: _FloatLike_co,
beta: _FloatLike_co,
) -> NDArray[floating[Any]]: ...
@overload
def sinc(x: _FloatLike_co) -> floating[Any]: ...
@overload
def sinc(x: _ComplexLike_co) -> complexfloating[Any, Any]: ...
@overload
def sinc(x: _ArrayLikeFloat_co) -> NDArray[floating[Any]]: ...
@overload
def sinc(x: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ...
# NOTE: Deprecated
# def msort(a: ArrayLike) -> NDArray[Any]: ...
@overload
def median(
a: _ArrayLikeFloat_co,
axis: None = ...,
out: None = ...,
overwrite_input: bool = ...,
keepdims: L[False] = ...,
) -> floating[Any]: ...
@overload
def median(
a: _ArrayLikeComplex_co,
axis: None = ...,
out: None = ...,
overwrite_input: bool = ...,
keepdims: L[False] = ...,
) -> complexfloating[Any, Any]: ...
@overload
def median(
a: _ArrayLikeTD64_co,
axis: None = ...,
out: None = ...,
overwrite_input: bool = ...,
keepdims: L[False] = ...,
) -> timedelta64: ...
@overload
def median(
a: _ArrayLikeObject_co,
axis: None = ...,
out: None = ...,
overwrite_input: bool = ...,
keepdims: L[False] = ...,
) -> Any: ...
@overload
def median(
a: _ArrayLikeFloat_co | _ArrayLikeComplex_co | _ArrayLikeTD64_co | _ArrayLikeObject_co,
axis: None | _ShapeLike = ...,
out: None = ...,
overwrite_input: bool = ...,
keepdims: bool = ...,
) -> Any: ...
@overload
def median(
a: _ArrayLikeFloat_co | _ArrayLikeComplex_co | _ArrayLikeTD64_co | _ArrayLikeObject_co,
axis: None | _ShapeLike = ...,
out: _ArrayType = ...,
overwrite_input: bool = ...,
keepdims: bool = ...,
) -> _ArrayType: ...
_MethodKind = L[
"inverted_cdf",
"averaged_inverted_cdf",
"closest_observation",
"interpolated_inverted_cdf",
"hazen",
"weibull",
"linear",
"median_unbiased",
"normal_unbiased",
"lower",
"higher",
"midpoint",
"nearest",
]
@overload
def percentile(
a: _ArrayLikeFloat_co,
q: _FloatLike_co,
axis: None = ...,
out: None = ...,
overwrite_input: bool = ...,
method: _MethodKind = ...,
keepdims: L[False] = ...,
) -> floating[Any]: ...
@overload
def percentile(
a: _ArrayLikeComplex_co,
q: _FloatLike_co,
axis: None = ...,
out: None = ...,
overwrite_input: bool = ...,
method: _MethodKind = ...,
keepdims: L[False] = ...,
) -> complexfloating[Any, Any]: ...
@overload
def percentile(
a: _ArrayLikeTD64_co,
q: _FloatLike_co,
axis: None = ...,
out: None = ...,
overwrite_input: bool = ...,
method: _MethodKind = ...,
keepdims: L[False] = ...,
) -> timedelta64: ...
@overload
def percentile(
a: _ArrayLikeDT64_co,
q: _FloatLike_co,
axis: None = ...,
out: None = ...,
overwrite_input: bool = ...,
method: _MethodKind = ...,
keepdims: L[False] = ...,
) -> datetime64: ...
@overload
def percentile(
a: _ArrayLikeObject_co,
q: _FloatLike_co,
axis: None = ...,
out: None = ...,
overwrite_input: bool = ...,
method: _MethodKind = ...,
keepdims: L[False] = ...,
) -> Any: ...
@overload
def percentile(
a: _ArrayLikeFloat_co,
q: _ArrayLikeFloat_co,
axis: None = ...,
out: None = ...,
overwrite_input: bool = ...,
method: _MethodKind = ...,
keepdims: L[False] = ...,
) -> NDArray[floating[Any]]: ...
@overload
def percentile(
a: _ArrayLikeComplex_co,
q: _ArrayLikeFloat_co,
axis: None = ...,
out: None = ...,
overwrite_input: bool = ...,
method: _MethodKind = ...,
keepdims: L[False] = ...,
) -> NDArray[complexfloating[Any, Any]]: ...
@overload
def percentile(
a: _ArrayLikeTD64_co,
q: _ArrayLikeFloat_co,
axis: None = ...,
out: None = ...,
overwrite_input: bool = ...,
method: _MethodKind = ...,
keepdims: L[False] = ...,
) -> NDArray[timedelta64]: ...
@overload
def percentile(
a: _ArrayLikeDT64_co,
q: _ArrayLikeFloat_co,
axis: None = ...,
out: None = ...,
overwrite_input: bool = ...,
method: _MethodKind = ...,
keepdims: L[False] = ...,
) -> NDArray[datetime64]: ...
@overload
def percentile(
a: _ArrayLikeObject_co,
q: _ArrayLikeFloat_co,
axis: None = ...,
out: None = ...,
overwrite_input: bool = ...,
method: _MethodKind = ...,
keepdims: L[False] = ...,
) -> NDArray[object_]: ...
@overload
def percentile(
a: _ArrayLikeComplex_co | _ArrayLikeTD64_co | _ArrayLikeTD64_co | _ArrayLikeObject_co,
q: _ArrayLikeFloat_co,
axis: None | _ShapeLike = ...,
out: None = ...,
overwrite_input: bool = ...,
method: _MethodKind = ...,
keepdims: bool = ...,
) -> Any: ...
@overload
def percentile(
a: _ArrayLikeComplex_co | _ArrayLikeTD64_co | _ArrayLikeTD64_co | _ArrayLikeObject_co,
q: _ArrayLikeFloat_co,
axis: None | _ShapeLike = ...,
out: _ArrayType = ...,
overwrite_input: bool = ...,
method: _MethodKind = ...,
keepdims: bool = ...,
) -> _ArrayType: ...
# NOTE: Not an alias, but they do have identical signatures
# (that we can reuse)
quantile = percentile
# TODO: Returns a scalar for <= 1D array-likes; returns an ndarray otherwise
def trapz(
y: _ArrayLikeComplex_co | _ArrayLikeTD64_co | _ArrayLikeObject_co,
x: None | _ArrayLikeComplex_co | _ArrayLikeTD64_co | _ArrayLikeObject_co = ...,
dx: float = ...,
axis: SupportsIndex = ...,
) -> Any: ...
def meshgrid(
*xi: ArrayLike,
copy: bool = ...,
sparse: bool = ...,
indexing: L["xy", "ij"] = ...,
) -> list[NDArray[Any]]: ...
@overload
def delete(
arr: _ArrayLike[_SCT],
obj: slice | _ArrayLikeInt_co,
axis: None | SupportsIndex = ...,
) -> NDArray[_SCT]: ...
@overload
def delete(
arr: ArrayLike,
obj: slice | _ArrayLikeInt_co,
axis: None | SupportsIndex = ...,
) -> NDArray[Any]: ...
@overload
def insert(
arr: _ArrayLike[_SCT],
obj: slice | _ArrayLikeInt_co,
values: ArrayLike,
axis: None | SupportsIndex = ...,
) -> NDArray[_SCT]: ...
@overload
def insert(
arr: ArrayLike,
obj: slice | _ArrayLikeInt_co,
values: ArrayLike,
axis: None | SupportsIndex = ...,
) -> NDArray[Any]: ...
def append(
arr: ArrayLike,
values: ArrayLike,
axis: None | SupportsIndex = ...,
) -> NDArray[Any]: ...
@overload
def digitize(
x: _FloatLike_co,
bins: _ArrayLikeFloat_co,
right: bool = ...,
) -> intp: ...
@overload
def digitize(
x: _ArrayLikeFloat_co,
bins: _ArrayLikeFloat_co,
right: bool = ...,
) -> NDArray[intp]: ...
File diff suppressed because it is too large Load Diff
@@ -0,0 +1,47 @@
from collections.abc import Sequence
from typing import (
Literal as L,
Any,
SupportsIndex,
)
from numpy._typing import (
NDArray,
ArrayLike,
)
_BinKind = L[
"stone",
"auto",
"doane",
"fd",
"rice",
"scott",
"sqrt",
"sturges",
]
__all__: list[str]
def histogram_bin_edges(
a: ArrayLike,
bins: _BinKind | SupportsIndex | ArrayLike = ...,
range: None | tuple[float, float] = ...,
weights: None | ArrayLike = ...,
) -> NDArray[Any]: ...
def histogram(
a: ArrayLike,
bins: _BinKind | SupportsIndex | ArrayLike = ...,
range: None | tuple[float, float] = ...,
density: bool = ...,
weights: None | ArrayLike = ...,
) -> tuple[NDArray[Any], NDArray[Any]]: ...
def histogramdd(
sample: ArrayLike,
bins: SupportsIndex | ArrayLike = ...,
range: Sequence[tuple[float, float]] = ...,
density: None | bool = ...,
weights: None | ArrayLike = ...,
) -> tuple[NDArray[Any], list[NDArray[Any]]]: ...
File diff suppressed because it is too large Load Diff
@@ -0,0 +1,162 @@
from collections.abc import Sequence
from typing import (
Any,
TypeVar,
Generic,
overload,
Literal,
SupportsIndex,
)
from numpy import (
# Circumvent a naming conflict with `AxisConcatenator.matrix`
matrix as _Matrix,
ndenumerate as ndenumerate,
ndindex as ndindex,
ndarray,
dtype,
integer,
str_,
bytes_,
bool_,
int_,
float_,
complex_,
intp,
_OrderCF,
_ModeKind,
)
from numpy._typing import (
# Arrays
ArrayLike,
_NestedSequence,
_FiniteNestedSequence,
NDArray,
_ArrayLikeInt,
# DTypes
DTypeLike,
_SupportsDType,
# Shapes
_ShapeLike,
)
from numpy.core.multiarray import (
unravel_index as unravel_index,
ravel_multi_index as ravel_multi_index,
)
_T = TypeVar("_T")
_DType = TypeVar("_DType", bound=dtype[Any])
_BoolType = TypeVar("_BoolType", Literal[True], Literal[False])
_TupType = TypeVar("_TupType", bound=tuple[Any, ...])
_ArrayType = TypeVar("_ArrayType", bound=ndarray[Any, Any])
__all__: list[str]
@overload
def ix_(*args: _FiniteNestedSequence[_SupportsDType[_DType]]) -> tuple[ndarray[Any, _DType], ...]: ...
@overload
def ix_(*args: str | _NestedSequence[str]) -> tuple[NDArray[str_], ...]: ...
@overload
def ix_(*args: bytes | _NestedSequence[bytes]) -> tuple[NDArray[bytes_], ...]: ...
@overload
def ix_(*args: bool | _NestedSequence[bool]) -> tuple[NDArray[bool_], ...]: ...
@overload
def ix_(*args: int | _NestedSequence[int]) -> tuple[NDArray[int_], ...]: ...
@overload
def ix_(*args: float | _NestedSequence[float]) -> tuple[NDArray[float_], ...]: ...
@overload
def ix_(*args: complex | _NestedSequence[complex]) -> tuple[NDArray[complex_], ...]: ...
class nd_grid(Generic[_BoolType]):
sparse: _BoolType
def __init__(self, sparse: _BoolType = ...) -> None: ...
@overload
def __getitem__(
self: nd_grid[Literal[False]],
key: slice | Sequence[slice],
) -> NDArray[Any]: ...
@overload
def __getitem__(
self: nd_grid[Literal[True]],
key: slice | Sequence[slice],
) -> list[NDArray[Any]]: ...
class MGridClass(nd_grid[Literal[False]]):
def __init__(self) -> None: ...
mgrid: MGridClass
class OGridClass(nd_grid[Literal[True]]):
def __init__(self) -> None: ...
ogrid: OGridClass
class AxisConcatenator:
axis: int
matrix: bool
ndmin: int
trans1d: int
def __init__(
self,
axis: int = ...,
matrix: bool = ...,
ndmin: int = ...,
trans1d: int = ...,
) -> None: ...
@staticmethod
@overload
def concatenate( # type: ignore[misc]
*a: ArrayLike, axis: SupportsIndex = ..., out: None = ...
) -> NDArray[Any]: ...
@staticmethod
@overload
def concatenate(
*a: ArrayLike, axis: SupportsIndex = ..., out: _ArrayType = ...
) -> _ArrayType: ...
@staticmethod
def makemat(
data: ArrayLike, dtype: DTypeLike = ..., copy: bool = ...
) -> _Matrix[Any, Any]: ...
# TODO: Sort out this `__getitem__` method
def __getitem__(self, key: Any) -> Any: ...
class RClass(AxisConcatenator):
axis: Literal[0]
matrix: Literal[False]
ndmin: Literal[1]
trans1d: Literal[-1]
def __init__(self) -> None: ...
r_: RClass
class CClass(AxisConcatenator):
axis: Literal[-1]
matrix: Literal[False]
ndmin: Literal[2]
trans1d: Literal[0]
def __init__(self) -> None: ...
c_: CClass
class IndexExpression(Generic[_BoolType]):
maketuple: _BoolType
def __init__(self, maketuple: _BoolType) -> None: ...
@overload
def __getitem__(self, item: _TupType) -> _TupType: ... # type: ignore[misc]
@overload
def __getitem__(self: IndexExpression[Literal[True]], item: _T) -> tuple[_T]: ...
@overload
def __getitem__(self: IndexExpression[Literal[False]], item: _T) -> _T: ...
index_exp: IndexExpression[Literal[True]]
s_: IndexExpression[Literal[False]]
def fill_diagonal(a: ndarray[Any, Any], val: Any, wrap: bool = ...) -> None: ...
def diag_indices(n: int, ndim: int = ...) -> tuple[NDArray[int_], ...]: ...
def diag_indices_from(arr: ArrayLike) -> tuple[NDArray[int_], ...]: ...
# NOTE: see `numpy/__init__.pyi` for `ndenumerate` and `ndindex`
@@ -0,0 +1,177 @@
"""Mixin classes for custom array types that don't inherit from ndarray."""
from numpy.core import umath as um
__all__ = ['NDArrayOperatorsMixin']
def _disables_array_ufunc(obj):
"""True when __array_ufunc__ is set to None."""
try:
return obj.__array_ufunc__ is None
except AttributeError:
return False
def _binary_method(ufunc, name):
"""Implement a forward binary method with a ufunc, e.g., __add__."""
def func(self, other):
if _disables_array_ufunc(other):
return NotImplemented
return ufunc(self, other)
func.__name__ = '__{}__'.format(name)
return func
def _reflected_binary_method(ufunc, name):
"""Implement a reflected binary method with a ufunc, e.g., __radd__."""
def func(self, other):
if _disables_array_ufunc(other):
return NotImplemented
return ufunc(other, self)
func.__name__ = '__r{}__'.format(name)
return func
def _inplace_binary_method(ufunc, name):
"""Implement an in-place binary method with a ufunc, e.g., __iadd__."""
def func(self, other):
return ufunc(self, other, out=(self,))
func.__name__ = '__i{}__'.format(name)
return func
def _numeric_methods(ufunc, name):
"""Implement forward, reflected and inplace binary methods with a ufunc."""
return (_binary_method(ufunc, name),
_reflected_binary_method(ufunc, name),
_inplace_binary_method(ufunc, name))
def _unary_method(ufunc, name):
"""Implement a unary special method with a ufunc."""
def func(self):
return ufunc(self)
func.__name__ = '__{}__'.format(name)
return func
class NDArrayOperatorsMixin:
"""Mixin defining all operator special methods using __array_ufunc__.
This class implements the special methods for almost all of Python's
builtin operators defined in the `operator` module, including comparisons
(``==``, ``>``, etc.) and arithmetic (``+``, ``*``, ``-``, etc.), by
deferring to the ``__array_ufunc__`` method, which subclasses must
implement.
It is useful for writing classes that do not inherit from `numpy.ndarray`,
but that should support arithmetic and numpy universal functions like
arrays as described in `A Mechanism for Overriding Ufuncs
<https://numpy.org/neps/nep-0013-ufunc-overrides.html>`_.
As an trivial example, consider this implementation of an ``ArrayLike``
class that simply wraps a NumPy array and ensures that the result of any
arithmetic operation is also an ``ArrayLike`` object::
class ArrayLike(np.lib.mixins.NDArrayOperatorsMixin):
def __init__(self, value):
self.value = np.asarray(value)
# One might also consider adding the built-in list type to this
# list, to support operations like np.add(array_like, list)
_HANDLED_TYPES = (np.ndarray, numbers.Number)
def __array_ufunc__(self, ufunc, method, *inputs, **kwargs):
out = kwargs.get('out', ())
for x in inputs + out:
# Only support operations with instances of _HANDLED_TYPES.
# Use ArrayLike instead of type(self) for isinstance to
# allow subclasses that don't override __array_ufunc__ to
# handle ArrayLike objects.
if not isinstance(x, self._HANDLED_TYPES + (ArrayLike,)):
return NotImplemented
# Defer to the implementation of the ufunc on unwrapped values.
inputs = tuple(x.value if isinstance(x, ArrayLike) else x
for x in inputs)
if out:
kwargs['out'] = tuple(
x.value if isinstance(x, ArrayLike) else x
for x in out)
result = getattr(ufunc, method)(*inputs, **kwargs)
if type(result) is tuple:
# multiple return values
return tuple(type(self)(x) for x in result)
elif method == 'at':
# no return value
return None
else:
# one return value
return type(self)(result)
def __repr__(self):
return '%s(%r)' % (type(self).__name__, self.value)
In interactions between ``ArrayLike`` objects and numbers or numpy arrays,
the result is always another ``ArrayLike``:
>>> x = ArrayLike([1, 2, 3])
>>> x - 1
ArrayLike(array([0, 1, 2]))
>>> 1 - x
ArrayLike(array([ 0, -1, -2]))
>>> np.arange(3) - x
ArrayLike(array([-1, -1, -1]))
>>> x - np.arange(3)
ArrayLike(array([1, 1, 1]))
Note that unlike ``numpy.ndarray``, ``ArrayLike`` does not allow operations
with arbitrary, unrecognized types. This ensures that interactions with
ArrayLike preserve a well-defined casting hierarchy.
.. versionadded:: 1.13
"""
__slots__ = ()
# Like np.ndarray, this mixin class implements "Option 1" from the ufunc
# overrides NEP.
# comparisons don't have reflected and in-place versions
__lt__ = _binary_method(um.less, 'lt')
__le__ = _binary_method(um.less_equal, 'le')
__eq__ = _binary_method(um.equal, 'eq')
__ne__ = _binary_method(um.not_equal, 'ne')
__gt__ = _binary_method(um.greater, 'gt')
__ge__ = _binary_method(um.greater_equal, 'ge')
# numeric methods
__add__, __radd__, __iadd__ = _numeric_methods(um.add, 'add')
__sub__, __rsub__, __isub__ = _numeric_methods(um.subtract, 'sub')
__mul__, __rmul__, __imul__ = _numeric_methods(um.multiply, 'mul')
__matmul__, __rmatmul__, __imatmul__ = _numeric_methods(
um.matmul, 'matmul')
# Python 3 does not use __div__, __rdiv__, or __idiv__
__truediv__, __rtruediv__, __itruediv__ = _numeric_methods(
um.true_divide, 'truediv')
__floordiv__, __rfloordiv__, __ifloordiv__ = _numeric_methods(
um.floor_divide, 'floordiv')
__mod__, __rmod__, __imod__ = _numeric_methods(um.remainder, 'mod')
__divmod__ = _binary_method(um.divmod, 'divmod')
__rdivmod__ = _reflected_binary_method(um.divmod, 'divmod')
# __idivmod__ does not exist
# TODO: handle the optional third argument for __pow__?
__pow__, __rpow__, __ipow__ = _numeric_methods(um.power, 'pow')
__lshift__, __rlshift__, __ilshift__ = _numeric_methods(
um.left_shift, 'lshift')
__rshift__, __rrshift__, __irshift__ = _numeric_methods(
um.right_shift, 'rshift')
__and__, __rand__, __iand__ = _numeric_methods(um.bitwise_and, 'and')
__xor__, __rxor__, __ixor__ = _numeric_methods(um.bitwise_xor, 'xor')
__or__, __ror__, __ior__ = _numeric_methods(um.bitwise_or, 'or')
# unary methods
__neg__ = _unary_method(um.negative, 'neg')
__pos__ = _unary_method(um.positive, 'pos')
__abs__ = _unary_method(um.absolute, 'abs')
__invert__ = _unary_method(um.invert, 'invert')
@@ -0,0 +1,74 @@
from abc import ABCMeta, abstractmethod
from typing import Literal as L, Any
from numpy import ufunc
__all__: list[str]
# NOTE: `NDArrayOperatorsMixin` is not formally an abstract baseclass,
# even though it's reliant on subclasses implementing `__array_ufunc__`
# NOTE: The accepted input- and output-types of the various dunders are
# completely dependent on how `__array_ufunc__` is implemented.
# As such, only little type safety can be provided here.
class NDArrayOperatorsMixin(metaclass=ABCMeta):
@abstractmethod
def __array_ufunc__(
self,
ufunc: ufunc,
method: L["__call__", "reduce", "reduceat", "accumulate", "outer", "inner"],
*inputs: Any,
**kwargs: Any,
) -> Any: ...
def __lt__(self, other: Any) -> Any: ...
def __le__(self, other: Any) -> Any: ...
def __eq__(self, other: Any) -> Any: ...
def __ne__(self, other: Any) -> Any: ...
def __gt__(self, other: Any) -> Any: ...
def __ge__(self, other: Any) -> Any: ...
def __add__(self, other: Any) -> Any: ...
def __radd__(self, other: Any) -> Any: ...
def __iadd__(self, other: Any) -> Any: ...
def __sub__(self, other: Any) -> Any: ...
def __rsub__(self, other: Any) -> Any: ...
def __isub__(self, other: Any) -> Any: ...
def __mul__(self, other: Any) -> Any: ...
def __rmul__(self, other: Any) -> Any: ...
def __imul__(self, other: Any) -> Any: ...
def __matmul__(self, other: Any) -> Any: ...
def __rmatmul__(self, other: Any) -> Any: ...
def __imatmul__(self, other: Any) -> Any: ...
def __truediv__(self, other: Any) -> Any: ...
def __rtruediv__(self, other: Any) -> Any: ...
def __itruediv__(self, other: Any) -> Any: ...
def __floordiv__(self, other: Any) -> Any: ...
def __rfloordiv__(self, other: Any) -> Any: ...
def __ifloordiv__(self, other: Any) -> Any: ...
def __mod__(self, other: Any) -> Any: ...
def __rmod__(self, other: Any) -> Any: ...
def __imod__(self, other: Any) -> Any: ...
def __divmod__(self, other: Any) -> Any: ...
def __rdivmod__(self, other: Any) -> Any: ...
def __pow__(self, other: Any) -> Any: ...
def __rpow__(self, other: Any) -> Any: ...
def __ipow__(self, other: Any) -> Any: ...
def __lshift__(self, other: Any) -> Any: ...
def __rlshift__(self, other: Any) -> Any: ...
def __ilshift__(self, other: Any) -> Any: ...
def __rshift__(self, other: Any) -> Any: ...
def __rrshift__(self, other: Any) -> Any: ...
def __irshift__(self, other: Any) -> Any: ...
def __and__(self, other: Any) -> Any: ...
def __rand__(self, other: Any) -> Any: ...
def __iand__(self, other: Any) -> Any: ...
def __xor__(self, other: Any) -> Any: ...
def __rxor__(self, other: Any) -> Any: ...
def __ixor__(self, other: Any) -> Any: ...
def __or__(self, other: Any) -> Any: ...
def __ror__(self, other: Any) -> Any: ...
def __ior__(self, other: Any) -> Any: ...
def __neg__(self) -> Any: ...
def __pos__(self) -> Any: ...
def __abs__(self) -> Any: ...
def __invert__(self) -> Any: ...
File diff suppressed because it is too large Load Diff
@@ -0,0 +1,38 @@
from numpy.core.fromnumeric import (
amin,
amax,
argmin,
argmax,
sum,
prod,
cumsum,
cumprod,
mean,
var,
std
)
from numpy.lib.function_base import (
median,
percentile,
quantile,
)
__all__: list[str]
# NOTE: In reaility these functions are not aliases but distinct functions
# with identical signatures.
nanmin = amin
nanmax = amax
nanargmin = argmin
nanargmax = argmax
nansum = sum
nanprod = prod
nancumsum = cumsum
nancumprod = cumprod
nanmean = mean
nanvar = var
nanstd = std
nanmedian = median
nanpercentile = percentile
nanquantile = quantile
File diff suppressed because it is too large Load Diff
@@ -0,0 +1,330 @@
import os
import sys
import zipfile
import types
from re import Pattern
from collections.abc import Collection, Mapping, Iterator, Sequence, Callable, Iterable
from typing import (
Literal as L,
Any,
TypeVar,
Generic,
IO,
overload,
Protocol,
)
from numpy import (
DataSource as DataSource,
ndarray,
recarray,
dtype,
generic,
float64,
void,
record,
)
from numpy.ma.mrecords import MaskedRecords
from numpy._typing import (
ArrayLike,
DTypeLike,
NDArray,
_DTypeLike,
_SupportsArrayFunc,
)
from numpy.core.multiarray import (
packbits as packbits,
unpackbits as unpackbits,
)
_T = TypeVar("_T")
_T_contra = TypeVar("_T_contra", contravariant=True)
_T_co = TypeVar("_T_co", covariant=True)
_SCT = TypeVar("_SCT", bound=generic)
_CharType_co = TypeVar("_CharType_co", str, bytes, covariant=True)
_CharType_contra = TypeVar("_CharType_contra", str, bytes, contravariant=True)
class _SupportsGetItem(Protocol[_T_contra, _T_co]):
def __getitem__(self, key: _T_contra, /) -> _T_co: ...
class _SupportsRead(Protocol[_CharType_co]):
def read(self) -> _CharType_co: ...
class _SupportsReadSeek(Protocol[_CharType_co]):
def read(self, n: int, /) -> _CharType_co: ...
def seek(self, offset: int, whence: int, /) -> object: ...
class _SupportsWrite(Protocol[_CharType_contra]):
def write(self, s: _CharType_contra, /) -> object: ...
__all__: list[str]
class BagObj(Generic[_T_co]):
def __init__(self, obj: _SupportsGetItem[str, _T_co]) -> None: ...
def __getattribute__(self, key: str) -> _T_co: ...
def __dir__(self) -> list[str]: ...
class NpzFile(Mapping[str, NDArray[Any]]):
zip: zipfile.ZipFile
fid: None | IO[str]
files: list[str]
allow_pickle: bool
pickle_kwargs: None | Mapping[str, Any]
_MAX_REPR_ARRAY_COUNT: int
# Represent `f` as a mutable property so we can access the type of `self`
@property
def f(self: _T) -> BagObj[_T]: ...
@f.setter
def f(self: _T, value: BagObj[_T]) -> None: ...
def __init__(
self,
fid: IO[str],
own_fid: bool = ...,
allow_pickle: bool = ...,
pickle_kwargs: None | Mapping[str, Any] = ...,
) -> None: ...
def __enter__(self: _T) -> _T: ...
def __exit__(
self,
exc_type: None | type[BaseException],
exc_value: None | BaseException,
traceback: None | types.TracebackType,
/,
) -> None: ...
def close(self) -> None: ...
def __del__(self) -> None: ...
def __iter__(self) -> Iterator[str]: ...
def __len__(self) -> int: ...
def __getitem__(self, key: str) -> NDArray[Any]: ...
def __contains__(self, key: str) -> bool: ...
def __repr__(self) -> str: ...
# NOTE: Returns a `NpzFile` if file is a zip file;
# returns an `ndarray`/`memmap` otherwise
def load(
file: str | bytes | os.PathLike[Any] | _SupportsReadSeek[bytes],
mmap_mode: L[None, "r+", "r", "w+", "c"] = ...,
allow_pickle: bool = ...,
fix_imports: bool = ...,
encoding: L["ASCII", "latin1", "bytes"] = ...,
) -> Any: ...
def save(
file: str | os.PathLike[str] | _SupportsWrite[bytes],
arr: ArrayLike,
allow_pickle: bool = ...,
fix_imports: bool = ...,
) -> None: ...
def savez(
file: str | os.PathLike[str] | _SupportsWrite[bytes],
*args: ArrayLike,
**kwds: ArrayLike,
) -> None: ...
def savez_compressed(
file: str | os.PathLike[str] | _SupportsWrite[bytes],
*args: ArrayLike,
**kwds: ArrayLike,
) -> None: ...
# File-like objects only have to implement `__iter__` and,
# optionally, `encoding`
@overload
def loadtxt(
fname: str | os.PathLike[str] | Iterable[str] | Iterable[bytes],
dtype: None = ...,
comments: None | str | Sequence[str] = ...,
delimiter: None | str = ...,
converters: None | Mapping[int | str, Callable[[str], Any]] = ...,
skiprows: int = ...,
usecols: int | Sequence[int] = ...,
unpack: bool = ...,
ndmin: L[0, 1, 2] = ...,
encoding: None | str = ...,
max_rows: None | int = ...,
*,
quotechar: None | str = ...,
like: None | _SupportsArrayFunc = ...
) -> NDArray[float64]: ...
@overload
def loadtxt(
fname: str | os.PathLike[str] | Iterable[str] | Iterable[bytes],
dtype: _DTypeLike[_SCT],
comments: None | str | Sequence[str] = ...,
delimiter: None | str = ...,
converters: None | Mapping[int | str, Callable[[str], Any]] = ...,
skiprows: int = ...,
usecols: int | Sequence[int] = ...,
unpack: bool = ...,
ndmin: L[0, 1, 2] = ...,
encoding: None | str = ...,
max_rows: None | int = ...,
*,
quotechar: None | str = ...,
like: None | _SupportsArrayFunc = ...
) -> NDArray[_SCT]: ...
@overload
def loadtxt(
fname: str | os.PathLike[str] | Iterable[str] | Iterable[bytes],
dtype: DTypeLike,
comments: None | str | Sequence[str] = ...,
delimiter: None | str = ...,
converters: None | Mapping[int | str, Callable[[str], Any]] = ...,
skiprows: int = ...,
usecols: int | Sequence[int] = ...,
unpack: bool = ...,
ndmin: L[0, 1, 2] = ...,
encoding: None | str = ...,
max_rows: None | int = ...,
*,
quotechar: None | str = ...,
like: None | _SupportsArrayFunc = ...
) -> NDArray[Any]: ...
def savetxt(
fname: str | os.PathLike[str] | _SupportsWrite[str] | _SupportsWrite[bytes],
X: ArrayLike,
fmt: str | Sequence[str] = ...,
delimiter: str = ...,
newline: str = ...,
header: str = ...,
footer: str = ...,
comments: str = ...,
encoding: None | str = ...,
) -> None: ...
@overload
def fromregex(
file: str | os.PathLike[str] | _SupportsRead[str] | _SupportsRead[bytes],
regexp: str | bytes | Pattern[Any],
dtype: _DTypeLike[_SCT],
encoding: None | str = ...
) -> NDArray[_SCT]: ...
@overload
def fromregex(
file: str | os.PathLike[str] | _SupportsRead[str] | _SupportsRead[bytes],
regexp: str | bytes | Pattern[Any],
dtype: DTypeLike,
encoding: None | str = ...
) -> NDArray[Any]: ...
@overload
def genfromtxt(
fname: str | os.PathLike[str] | Iterable[str] | Iterable[bytes],
dtype: None = ...,
comments: str = ...,
delimiter: None | str | int | Iterable[int] = ...,
skip_header: int = ...,
skip_footer: int = ...,
converters: None | Mapping[int | str, Callable[[str], Any]] = ...,
missing_values: Any = ...,
filling_values: Any = ...,
usecols: None | Sequence[int] = ...,
names: L[None, True] | str | Collection[str] = ...,
excludelist: None | Sequence[str] = ...,
deletechars: str = ...,
replace_space: str = ...,
autostrip: bool = ...,
case_sensitive: bool | L['upper', 'lower'] = ...,
defaultfmt: str = ...,
unpack: None | bool = ...,
usemask: bool = ...,
loose: bool = ...,
invalid_raise: bool = ...,
max_rows: None | int = ...,
encoding: str = ...,
*,
ndmin: L[0, 1, 2] = ...,
like: None | _SupportsArrayFunc = ...,
) -> NDArray[Any]: ...
@overload
def genfromtxt(
fname: str | os.PathLike[str] | Iterable[str] | Iterable[bytes],
dtype: _DTypeLike[_SCT],
comments: str = ...,
delimiter: None | str | int | Iterable[int] = ...,
skip_header: int = ...,
skip_footer: int = ...,
converters: None | Mapping[int | str, Callable[[str], Any]] = ...,
missing_values: Any = ...,
filling_values: Any = ...,
usecols: None | Sequence[int] = ...,
names: L[None, True] | str | Collection[str] = ...,
excludelist: None | Sequence[str] = ...,
deletechars: str = ...,
replace_space: str = ...,
autostrip: bool = ...,
case_sensitive: bool | L['upper', 'lower'] = ...,
defaultfmt: str = ...,
unpack: None | bool = ...,
usemask: bool = ...,
loose: bool = ...,
invalid_raise: bool = ...,
max_rows: None | int = ...,
encoding: str = ...,
*,
ndmin: L[0, 1, 2] = ...,
like: None | _SupportsArrayFunc = ...,
) -> NDArray[_SCT]: ...
@overload
def genfromtxt(
fname: str | os.PathLike[str] | Iterable[str] | Iterable[bytes],
dtype: DTypeLike,
comments: str = ...,
delimiter: None | str | int | Iterable[int] = ...,
skip_header: int = ...,
skip_footer: int = ...,
converters: None | Mapping[int | str, Callable[[str], Any]] = ...,
missing_values: Any = ...,
filling_values: Any = ...,
usecols: None | Sequence[int] = ...,
names: L[None, True] | str | Collection[str] = ...,
excludelist: None | Sequence[str] = ...,
deletechars: str = ...,
replace_space: str = ...,
autostrip: bool = ...,
case_sensitive: bool | L['upper', 'lower'] = ...,
defaultfmt: str = ...,
unpack: None | bool = ...,
usemask: bool = ...,
loose: bool = ...,
invalid_raise: bool = ...,
max_rows: None | int = ...,
encoding: str = ...,
*,
ndmin: L[0, 1, 2] = ...,
like: None | _SupportsArrayFunc = ...,
) -> NDArray[Any]: ...
@overload
def recfromtxt(
fname: str | os.PathLike[str] | Iterable[str] | Iterable[bytes],
*,
usemask: L[False] = ...,
**kwargs: Any,
) -> recarray[Any, dtype[record]]: ...
@overload
def recfromtxt(
fname: str | os.PathLike[str] | Iterable[str] | Iterable[bytes],
*,
usemask: L[True],
**kwargs: Any,
) -> MaskedRecords[Any, dtype[void]]: ...
@overload
def recfromcsv(
fname: str | os.PathLike[str] | Iterable[str] | Iterable[bytes],
*,
usemask: L[False] = ...,
**kwargs: Any,
) -> recarray[Any, dtype[record]]: ...
@overload
def recfromcsv(
fname: str | os.PathLike[str] | Iterable[str] | Iterable[bytes],
*,
usemask: L[True],
**kwargs: Any,
) -> MaskedRecords[Any, dtype[void]]: ...
File diff suppressed because it is too large Load Diff
@@ -0,0 +1,303 @@
from typing import (
Literal as L,
overload,
Any,
SupportsInt,
SupportsIndex,
TypeVar,
NoReturn,
)
from numpy import (
RankWarning as RankWarning,
poly1d as poly1d,
unsignedinteger,
signedinteger,
floating,
complexfloating,
bool_,
int32,
int64,
float64,
complex128,
object_,
)
from numpy._typing import (
NDArray,
ArrayLike,
_ArrayLikeBool_co,
_ArrayLikeUInt_co,
_ArrayLikeInt_co,
_ArrayLikeFloat_co,
_ArrayLikeComplex_co,
_ArrayLikeObject_co,
)
_T = TypeVar("_T")
_2Tup = tuple[_T, _T]
_5Tup = tuple[
_T,
NDArray[float64],
NDArray[int32],
NDArray[float64],
NDArray[float64],
]
__all__: list[str]
def poly(seq_of_zeros: ArrayLike) -> NDArray[floating[Any]]: ...
# Returns either a float or complex array depending on the input values.
# See `np.linalg.eigvals`.
def roots(p: ArrayLike) -> NDArray[complexfloating[Any, Any]] | NDArray[floating[Any]]: ...
@overload
def polyint(
p: poly1d,
m: SupportsInt | SupportsIndex = ...,
k: None | _ArrayLikeComplex_co | _ArrayLikeObject_co = ...,
) -> poly1d: ...
@overload
def polyint(
p: _ArrayLikeFloat_co,
m: SupportsInt | SupportsIndex = ...,
k: None | _ArrayLikeFloat_co = ...,
) -> NDArray[floating[Any]]: ...
@overload
def polyint(
p: _ArrayLikeComplex_co,
m: SupportsInt | SupportsIndex = ...,
k: None | _ArrayLikeComplex_co = ...,
) -> NDArray[complexfloating[Any, Any]]: ...
@overload
def polyint(
p: _ArrayLikeObject_co,
m: SupportsInt | SupportsIndex = ...,
k: None | _ArrayLikeObject_co = ...,
) -> NDArray[object_]: ...
@overload
def polyder(
p: poly1d,
m: SupportsInt | SupportsIndex = ...,
) -> poly1d: ...
@overload
def polyder(
p: _ArrayLikeFloat_co,
m: SupportsInt | SupportsIndex = ...,
) -> NDArray[floating[Any]]: ...
@overload
def polyder(
p: _ArrayLikeComplex_co,
m: SupportsInt | SupportsIndex = ...,
) -> NDArray[complexfloating[Any, Any]]: ...
@overload
def polyder(
p: _ArrayLikeObject_co,
m: SupportsInt | SupportsIndex = ...,
) -> NDArray[object_]: ...
@overload
def polyfit(
x: _ArrayLikeFloat_co,
y: _ArrayLikeFloat_co,
deg: SupportsIndex | SupportsInt,
rcond: None | float = ...,
full: L[False] = ...,
w: None | _ArrayLikeFloat_co = ...,
cov: L[False] = ...,
) -> NDArray[float64]: ...
@overload
def polyfit(
x: _ArrayLikeComplex_co,
y: _ArrayLikeComplex_co,
deg: SupportsIndex | SupportsInt,
rcond: None | float = ...,
full: L[False] = ...,
w: None | _ArrayLikeFloat_co = ...,
cov: L[False] = ...,
) -> NDArray[complex128]: ...
@overload
def polyfit(
x: _ArrayLikeFloat_co,
y: _ArrayLikeFloat_co,
deg: SupportsIndex | SupportsInt,
rcond: None | float = ...,
full: L[False] = ...,
w: None | _ArrayLikeFloat_co = ...,
cov: L[True, "unscaled"] = ...,
) -> _2Tup[NDArray[float64]]: ...
@overload
def polyfit(
x: _ArrayLikeComplex_co,
y: _ArrayLikeComplex_co,
deg: SupportsIndex | SupportsInt,
rcond: None | float = ...,
full: L[False] = ...,
w: None | _ArrayLikeFloat_co = ...,
cov: L[True, "unscaled"] = ...,
) -> _2Tup[NDArray[complex128]]: ...
@overload
def polyfit(
x: _ArrayLikeFloat_co,
y: _ArrayLikeFloat_co,
deg: SupportsIndex | SupportsInt,
rcond: None | float = ...,
full: L[True] = ...,
w: None | _ArrayLikeFloat_co = ...,
cov: bool | L["unscaled"] = ...,
) -> _5Tup[NDArray[float64]]: ...
@overload
def polyfit(
x: _ArrayLikeComplex_co,
y: _ArrayLikeComplex_co,
deg: SupportsIndex | SupportsInt,
rcond: None | float = ...,
full: L[True] = ...,
w: None | _ArrayLikeFloat_co = ...,
cov: bool | L["unscaled"] = ...,
) -> _5Tup[NDArray[complex128]]: ...
@overload
def polyval(
p: _ArrayLikeBool_co,
x: _ArrayLikeBool_co,
) -> NDArray[int64]: ...
@overload
def polyval(
p: _ArrayLikeUInt_co,
x: _ArrayLikeUInt_co,
) -> NDArray[unsignedinteger[Any]]: ...
@overload
def polyval(
p: _ArrayLikeInt_co,
x: _ArrayLikeInt_co,
) -> NDArray[signedinteger[Any]]: ...
@overload
def polyval(
p: _ArrayLikeFloat_co,
x: _ArrayLikeFloat_co,
) -> NDArray[floating[Any]]: ...
@overload
def polyval(
p: _ArrayLikeComplex_co,
x: _ArrayLikeComplex_co,
) -> NDArray[complexfloating[Any, Any]]: ...
@overload
def polyval(
p: _ArrayLikeObject_co,
x: _ArrayLikeObject_co,
) -> NDArray[object_]: ...
@overload
def polyadd(
a1: poly1d,
a2: _ArrayLikeComplex_co | _ArrayLikeObject_co,
) -> poly1d: ...
@overload
def polyadd(
a1: _ArrayLikeComplex_co | _ArrayLikeObject_co,
a2: poly1d,
) -> poly1d: ...
@overload
def polyadd(
a1: _ArrayLikeBool_co,
a2: _ArrayLikeBool_co,
) -> NDArray[bool_]: ...
@overload
def polyadd(
a1: _ArrayLikeUInt_co,
a2: _ArrayLikeUInt_co,
) -> NDArray[unsignedinteger[Any]]: ...
@overload
def polyadd(
a1: _ArrayLikeInt_co,
a2: _ArrayLikeInt_co,
) -> NDArray[signedinteger[Any]]: ...
@overload
def polyadd(
a1: _ArrayLikeFloat_co,
a2: _ArrayLikeFloat_co,
) -> NDArray[floating[Any]]: ...
@overload
def polyadd(
a1: _ArrayLikeComplex_co,
a2: _ArrayLikeComplex_co,
) -> NDArray[complexfloating[Any, Any]]: ...
@overload
def polyadd(
a1: _ArrayLikeObject_co,
a2: _ArrayLikeObject_co,
) -> NDArray[object_]: ...
@overload
def polysub(
a1: poly1d,
a2: _ArrayLikeComplex_co | _ArrayLikeObject_co,
) -> poly1d: ...
@overload
def polysub(
a1: _ArrayLikeComplex_co | _ArrayLikeObject_co,
a2: poly1d,
) -> poly1d: ...
@overload
def polysub(
a1: _ArrayLikeBool_co,
a2: _ArrayLikeBool_co,
) -> NoReturn: ...
@overload
def polysub(
a1: _ArrayLikeUInt_co,
a2: _ArrayLikeUInt_co,
) -> NDArray[unsignedinteger[Any]]: ...
@overload
def polysub(
a1: _ArrayLikeInt_co,
a2: _ArrayLikeInt_co,
) -> NDArray[signedinteger[Any]]: ...
@overload
def polysub(
a1: _ArrayLikeFloat_co,
a2: _ArrayLikeFloat_co,
) -> NDArray[floating[Any]]: ...
@overload
def polysub(
a1: _ArrayLikeComplex_co,
a2: _ArrayLikeComplex_co,
) -> NDArray[complexfloating[Any, Any]]: ...
@overload
def polysub(
a1: _ArrayLikeObject_co,
a2: _ArrayLikeObject_co,
) -> NDArray[object_]: ...
# NOTE: Not an alias, but they do have the same signature (that we can reuse)
polymul = polyadd
@overload
def polydiv(
u: poly1d,
v: _ArrayLikeComplex_co | _ArrayLikeObject_co,
) -> _2Tup[poly1d]: ...
@overload
def polydiv(
u: _ArrayLikeComplex_co | _ArrayLikeObject_co,
v: poly1d,
) -> _2Tup[poly1d]: ...
@overload
def polydiv(
u: _ArrayLikeFloat_co,
v: _ArrayLikeFloat_co,
) -> _2Tup[NDArray[floating[Any]]]: ...
@overload
def polydiv(
u: _ArrayLikeComplex_co,
v: _ArrayLikeComplex_co,
) -> _2Tup[NDArray[complexfloating[Any, Any]]]: ...
@overload
def polydiv(
u: _ArrayLikeObject_co,
v: _ArrayLikeObject_co,
) -> _2Tup[NDArray[Any]]: ...
File diff suppressed because it is too large Load Diff
@@ -0,0 +1,625 @@
"""
Wrapper functions to more user-friendly calling of certain math functions
whose output data-type is different than the input data-type in certain
domains of the input.
For example, for functions like `log` with branch cuts, the versions in this
module provide the mathematically valid answers in the complex plane::
>>> import math
>>> np.emath.log(-math.exp(1)) == (1+1j*math.pi)
True
Similarly, `sqrt`, other base logarithms, `power` and trig functions are
correctly handled. See their respective docstrings for specific examples.
Functions
---------
.. autosummary::
:toctree: generated/
sqrt
log
log2
logn
log10
power
arccos
arcsin
arctanh
"""
import numpy.core.numeric as nx
import numpy.core.numerictypes as nt
from numpy.core.numeric import asarray, any
from numpy.core.overrides import array_function_dispatch
from numpy.lib.type_check import isreal
__all__ = [
'sqrt', 'log', 'log2', 'logn', 'log10', 'power', 'arccos', 'arcsin',
'arctanh'
]
_ln2 = nx.log(2.0)
def _tocomplex(arr):
"""Convert its input `arr` to a complex array.
The input is returned as a complex array of the smallest type that will fit
the original data: types like single, byte, short, etc. become csingle,
while others become cdouble.
A copy of the input is always made.
Parameters
----------
arr : array
Returns
-------
array
An array with the same input data as the input but in complex form.
Examples
--------
First, consider an input of type short:
>>> a = np.array([1,2,3],np.short)
>>> ac = np.lib.scimath._tocomplex(a); ac
array([1.+0.j, 2.+0.j, 3.+0.j], dtype=complex64)
>>> ac.dtype
dtype('complex64')
If the input is of type double, the output is correspondingly of the
complex double type as well:
>>> b = np.array([1,2,3],np.double)
>>> bc = np.lib.scimath._tocomplex(b); bc
array([1.+0.j, 2.+0.j, 3.+0.j])
>>> bc.dtype
dtype('complex128')
Note that even if the input was complex to begin with, a copy is still
made, since the astype() method always copies:
>>> c = np.array([1,2,3],np.csingle)
>>> cc = np.lib.scimath._tocomplex(c); cc
array([1.+0.j, 2.+0.j, 3.+0.j], dtype=complex64)
>>> c *= 2; c
array([2.+0.j, 4.+0.j, 6.+0.j], dtype=complex64)
>>> cc
array([1.+0.j, 2.+0.j, 3.+0.j], dtype=complex64)
"""
if issubclass(arr.dtype.type, (nt.single, nt.byte, nt.short, nt.ubyte,
nt.ushort, nt.csingle)):
return arr.astype(nt.csingle)
else:
return arr.astype(nt.cdouble)
def _fix_real_lt_zero(x):
"""Convert `x` to complex if it has real, negative components.
Otherwise, output is just the array version of the input (via asarray).
Parameters
----------
x : array_like
Returns
-------
array
Examples
--------
>>> np.lib.scimath._fix_real_lt_zero([1,2])
array([1, 2])
>>> np.lib.scimath._fix_real_lt_zero([-1,2])
array([-1.+0.j, 2.+0.j])
"""
x = asarray(x)
if any(isreal(x) & (x < 0)):
x = _tocomplex(x)
return x
def _fix_int_lt_zero(x):
"""Convert `x` to double if it has real, negative components.
Otherwise, output is just the array version of the input (via asarray).
Parameters
----------
x : array_like
Returns
-------
array
Examples
--------
>>> np.lib.scimath._fix_int_lt_zero([1,2])
array([1, 2])
>>> np.lib.scimath._fix_int_lt_zero([-1,2])
array([-1., 2.])
"""
x = asarray(x)
if any(isreal(x) & (x < 0)):
x = x * 1.0
return x
def _fix_real_abs_gt_1(x):
"""Convert `x` to complex if it has real components x_i with abs(x_i)>1.
Otherwise, output is just the array version of the input (via asarray).
Parameters
----------
x : array_like
Returns
-------
array
Examples
--------
>>> np.lib.scimath._fix_real_abs_gt_1([0,1])
array([0, 1])
>>> np.lib.scimath._fix_real_abs_gt_1([0,2])
array([0.+0.j, 2.+0.j])
"""
x = asarray(x)
if any(isreal(x) & (abs(x) > 1)):
x = _tocomplex(x)
return x
def _unary_dispatcher(x):
return (x,)
@array_function_dispatch(_unary_dispatcher)
def sqrt(x):
"""
Compute the square root of x.
For negative input elements, a complex value is returned
(unlike `numpy.sqrt` which returns NaN).
Parameters
----------
x : array_like
The input value(s).
Returns
-------
out : ndarray or scalar
The square root of `x`. If `x` was a scalar, so is `out`,
otherwise an array is returned.
See Also
--------
numpy.sqrt
Examples
--------
For real, non-negative inputs this works just like `numpy.sqrt`:
>>> np.emath.sqrt(1)
1.0
>>> np.emath.sqrt([1, 4])
array([1., 2.])
But it automatically handles negative inputs:
>>> np.emath.sqrt(-1)
1j
>>> np.emath.sqrt([-1,4])
array([0.+1.j, 2.+0.j])
Different results are expected because:
floating point 0.0 and -0.0 are distinct.
For more control, explicitly use complex() as follows:
>>> np.emath.sqrt(complex(-4.0, 0.0))
2j
>>> np.emath.sqrt(complex(-4.0, -0.0))
-2j
"""
x = _fix_real_lt_zero(x)
return nx.sqrt(x)
@array_function_dispatch(_unary_dispatcher)
def log(x):
"""
Compute the natural logarithm of `x`.
Return the "principal value" (for a description of this, see `numpy.log`)
of :math:`log_e(x)`. For real `x > 0`, this is a real number (``log(0)``
returns ``-inf`` and ``log(np.inf)`` returns ``inf``). Otherwise, the
complex principle value is returned.
Parameters
----------
x : array_like
The value(s) whose log is (are) required.
Returns
-------
out : ndarray or scalar
The log of the `x` value(s). If `x` was a scalar, so is `out`,
otherwise an array is returned.
See Also
--------
numpy.log
Notes
-----
For a log() that returns ``NAN`` when real `x < 0`, use `numpy.log`
(note, however, that otherwise `numpy.log` and this `log` are identical,
i.e., both return ``-inf`` for `x = 0`, ``inf`` for `x = inf`, and,
notably, the complex principle value if ``x.imag != 0``).
Examples
--------
>>> np.emath.log(np.exp(1))
1.0
Negative arguments are handled "correctly" (recall that
``exp(log(x)) == x`` does *not* hold for real ``x < 0``):
>>> np.emath.log(-np.exp(1)) == (1 + np.pi * 1j)
True
"""
x = _fix_real_lt_zero(x)
return nx.log(x)
@array_function_dispatch(_unary_dispatcher)
def log10(x):
"""
Compute the logarithm base 10 of `x`.
Return the "principal value" (for a description of this, see
`numpy.log10`) of :math:`log_{10}(x)`. For real `x > 0`, this
is a real number (``log10(0)`` returns ``-inf`` and ``log10(np.inf)``
returns ``inf``). Otherwise, the complex principle value is returned.
Parameters
----------
x : array_like or scalar
The value(s) whose log base 10 is (are) required.
Returns
-------
out : ndarray or scalar
The log base 10 of the `x` value(s). If `x` was a scalar, so is `out`,
otherwise an array object is returned.
See Also
--------
numpy.log10
Notes
-----
For a log10() that returns ``NAN`` when real `x < 0`, use `numpy.log10`
(note, however, that otherwise `numpy.log10` and this `log10` are
identical, i.e., both return ``-inf`` for `x = 0`, ``inf`` for `x = inf`,
and, notably, the complex principle value if ``x.imag != 0``).
Examples
--------
(We set the printing precision so the example can be auto-tested)
>>> np.set_printoptions(precision=4)
>>> np.emath.log10(10**1)
1.0
>>> np.emath.log10([-10**1, -10**2, 10**2])
array([1.+1.3644j, 2.+1.3644j, 2.+0.j ])
"""
x = _fix_real_lt_zero(x)
return nx.log10(x)
def _logn_dispatcher(n, x):
return (n, x,)
@array_function_dispatch(_logn_dispatcher)
def logn(n, x):
"""
Take log base n of x.
If `x` contains negative inputs, the answer is computed and returned in the
complex domain.
Parameters
----------
n : array_like
The integer base(s) in which the log is taken.
x : array_like
The value(s) whose log base `n` is (are) required.
Returns
-------
out : ndarray or scalar
The log base `n` of the `x` value(s). If `x` was a scalar, so is
`out`, otherwise an array is returned.
Examples
--------
>>> np.set_printoptions(precision=4)
>>> np.emath.logn(2, [4, 8])
array([2., 3.])
>>> np.emath.logn(2, [-4, -8, 8])
array([2.+4.5324j, 3.+4.5324j, 3.+0.j ])
"""
x = _fix_real_lt_zero(x)
n = _fix_real_lt_zero(n)
return nx.log(x)/nx.log(n)
@array_function_dispatch(_unary_dispatcher)
def log2(x):
"""
Compute the logarithm base 2 of `x`.
Return the "principal value" (for a description of this, see
`numpy.log2`) of :math:`log_2(x)`. For real `x > 0`, this is
a real number (``log2(0)`` returns ``-inf`` and ``log2(np.inf)`` returns
``inf``). Otherwise, the complex principle value is returned.
Parameters
----------
x : array_like
The value(s) whose log base 2 is (are) required.
Returns
-------
out : ndarray or scalar
The log base 2 of the `x` value(s). If `x` was a scalar, so is `out`,
otherwise an array is returned.
See Also
--------
numpy.log2
Notes
-----
For a log2() that returns ``NAN`` when real `x < 0`, use `numpy.log2`
(note, however, that otherwise `numpy.log2` and this `log2` are
identical, i.e., both return ``-inf`` for `x = 0`, ``inf`` for `x = inf`,
and, notably, the complex principle value if ``x.imag != 0``).
Examples
--------
We set the printing precision so the example can be auto-tested:
>>> np.set_printoptions(precision=4)
>>> np.emath.log2(8)
3.0
>>> np.emath.log2([-4, -8, 8])
array([2.+4.5324j, 3.+4.5324j, 3.+0.j ])
"""
x = _fix_real_lt_zero(x)
return nx.log2(x)
def _power_dispatcher(x, p):
return (x, p)
@array_function_dispatch(_power_dispatcher)
def power(x, p):
"""
Return x to the power p, (x**p).
If `x` contains negative values, the output is converted to the
complex domain.
Parameters
----------
x : array_like
The input value(s).
p : array_like of ints
The power(s) to which `x` is raised. If `x` contains multiple values,
`p` has to either be a scalar, or contain the same number of values
as `x`. In the latter case, the result is
``x[0]**p[0], x[1]**p[1], ...``.
Returns
-------
out : ndarray or scalar
The result of ``x**p``. If `x` and `p` are scalars, so is `out`,
otherwise an array is returned.
See Also
--------
numpy.power
Examples
--------
>>> np.set_printoptions(precision=4)
>>> np.emath.power([2, 4], 2)
array([ 4, 16])
>>> np.emath.power([2, 4], -2)
array([0.25 , 0.0625])
>>> np.emath.power([-2, 4], 2)
array([ 4.-0.j, 16.+0.j])
"""
x = _fix_real_lt_zero(x)
p = _fix_int_lt_zero(p)
return nx.power(x, p)
@array_function_dispatch(_unary_dispatcher)
def arccos(x):
"""
Compute the inverse cosine of x.
Return the "principal value" (for a description of this, see
`numpy.arccos`) of the inverse cosine of `x`. For real `x` such that
`abs(x) <= 1`, this is a real number in the closed interval
:math:`[0, \\pi]`. Otherwise, the complex principle value is returned.
Parameters
----------
x : array_like or scalar
The value(s) whose arccos is (are) required.
Returns
-------
out : ndarray or scalar
The inverse cosine(s) of the `x` value(s). If `x` was a scalar, so
is `out`, otherwise an array object is returned.
See Also
--------
numpy.arccos
Notes
-----
For an arccos() that returns ``NAN`` when real `x` is not in the
interval ``[-1,1]``, use `numpy.arccos`.
Examples
--------
>>> np.set_printoptions(precision=4)
>>> np.emath.arccos(1) # a scalar is returned
0.0
>>> np.emath.arccos([1,2])
array([0.-0.j , 0.-1.317j])
"""
x = _fix_real_abs_gt_1(x)
return nx.arccos(x)
@array_function_dispatch(_unary_dispatcher)
def arcsin(x):
"""
Compute the inverse sine of x.
Return the "principal value" (for a description of this, see
`numpy.arcsin`) of the inverse sine of `x`. For real `x` such that
`abs(x) <= 1`, this is a real number in the closed interval
:math:`[-\\pi/2, \\pi/2]`. Otherwise, the complex principle value is
returned.
Parameters
----------
x : array_like or scalar
The value(s) whose arcsin is (are) required.
Returns
-------
out : ndarray or scalar
The inverse sine(s) of the `x` value(s). If `x` was a scalar, so
is `out`, otherwise an array object is returned.
See Also
--------
numpy.arcsin
Notes
-----
For an arcsin() that returns ``NAN`` when real `x` is not in the
interval ``[-1,1]``, use `numpy.arcsin`.
Examples
--------
>>> np.set_printoptions(precision=4)
>>> np.emath.arcsin(0)
0.0
>>> np.emath.arcsin([0,1])
array([0. , 1.5708])
"""
x = _fix_real_abs_gt_1(x)
return nx.arcsin(x)
@array_function_dispatch(_unary_dispatcher)
def arctanh(x):
"""
Compute the inverse hyperbolic tangent of `x`.
Return the "principal value" (for a description of this, see
`numpy.arctanh`) of ``arctanh(x)``. For real `x` such that
``abs(x) < 1``, this is a real number. If `abs(x) > 1`, or if `x` is
complex, the result is complex. Finally, `x = 1` returns``inf`` and
``x=-1`` returns ``-inf``.
Parameters
----------
x : array_like
The value(s) whose arctanh is (are) required.
Returns
-------
out : ndarray or scalar
The inverse hyperbolic tangent(s) of the `x` value(s). If `x` was
a scalar so is `out`, otherwise an array is returned.
See Also
--------
numpy.arctanh
Notes
-----
For an arctanh() that returns ``NAN`` when real `x` is not in the
interval ``(-1,1)``, use `numpy.arctanh` (this latter, however, does
return +/-inf for ``x = +/-1``).
Examples
--------
>>> np.set_printoptions(precision=4)
>>> from numpy.testing import suppress_warnings
>>> with suppress_warnings() as sup:
... sup.filter(RuntimeWarning)
... np.emath.arctanh(np.eye(2))
array([[inf, 0.],
[ 0., inf]])
>>> np.emath.arctanh([1j])
array([0.+0.7854j])
"""
x = _fix_real_abs_gt_1(x)
return nx.arctanh(x)
@@ -0,0 +1,94 @@
from typing import overload, Any
from numpy import complexfloating
from numpy._typing import (
NDArray,
_ArrayLikeFloat_co,
_ArrayLikeComplex_co,
_ComplexLike_co,
_FloatLike_co,
)
__all__: list[str]
@overload
def sqrt(x: _FloatLike_co) -> Any: ...
@overload
def sqrt(x: _ComplexLike_co) -> complexfloating[Any, Any]: ...
@overload
def sqrt(x: _ArrayLikeFloat_co) -> NDArray[Any]: ...
@overload
def sqrt(x: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ...
@overload
def log(x: _FloatLike_co) -> Any: ...
@overload
def log(x: _ComplexLike_co) -> complexfloating[Any, Any]: ...
@overload
def log(x: _ArrayLikeFloat_co) -> NDArray[Any]: ...
@overload
def log(x: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ...
@overload
def log10(x: _FloatLike_co) -> Any: ...
@overload
def log10(x: _ComplexLike_co) -> complexfloating[Any, Any]: ...
@overload
def log10(x: _ArrayLikeFloat_co) -> NDArray[Any]: ...
@overload
def log10(x: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ...
@overload
def log2(x: _FloatLike_co) -> Any: ...
@overload
def log2(x: _ComplexLike_co) -> complexfloating[Any, Any]: ...
@overload
def log2(x: _ArrayLikeFloat_co) -> NDArray[Any]: ...
@overload
def log2(x: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ...
@overload
def logn(n: _FloatLike_co, x: _FloatLike_co) -> Any: ...
@overload
def logn(n: _ComplexLike_co, x: _ComplexLike_co) -> complexfloating[Any, Any]: ...
@overload
def logn(n: _ArrayLikeFloat_co, x: _ArrayLikeFloat_co) -> NDArray[Any]: ...
@overload
def logn(n: _ArrayLikeComplex_co, x: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ...
@overload
def power(x: _FloatLike_co, p: _FloatLike_co) -> Any: ...
@overload
def power(x: _ComplexLike_co, p: _ComplexLike_co) -> complexfloating[Any, Any]: ...
@overload
def power(x: _ArrayLikeFloat_co, p: _ArrayLikeFloat_co) -> NDArray[Any]: ...
@overload
def power(x: _ArrayLikeComplex_co, p: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ...
@overload
def arccos(x: _FloatLike_co) -> Any: ...
@overload
def arccos(x: _ComplexLike_co) -> complexfloating[Any, Any]: ...
@overload
def arccos(x: _ArrayLikeFloat_co) -> NDArray[Any]: ...
@overload
def arccos(x: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ...
@overload
def arcsin(x: _FloatLike_co) -> Any: ...
@overload
def arcsin(x: _ComplexLike_co) -> complexfloating[Any, Any]: ...
@overload
def arcsin(x: _ArrayLikeFloat_co) -> NDArray[Any]: ...
@overload
def arcsin(x: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ...
@overload
def arctanh(x: _FloatLike_co) -> Any: ...
@overload
def arctanh(x: _ComplexLike_co) -> complexfloating[Any, Any]: ...
@overload
def arctanh(x: _ArrayLikeFloat_co) -> NDArray[Any]: ...
@overload
def arctanh(x: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ...
@@ -0,0 +1,12 @@
def configuration(parent_package='',top_path=None):
from numpy.distutils.misc_util import Configuration
config = Configuration('lib', parent_package, top_path)
config.add_subpackage('tests')
config.add_data_dir('tests/data')
config.add_data_files('*.pyi')
return config
if __name__ == '__main__':
from numpy.distutils.core import setup
setup(configuration=configuration)
File diff suppressed because it is too large Load Diff
@@ -0,0 +1,220 @@
import sys
from collections.abc import Callable, Sequence
from typing import TypeVar, Any, overload, SupportsIndex, Protocol
if sys.version_info >= (3, 10):
from typing import ParamSpec, Concatenate
else:
from typing_extensions import ParamSpec, Concatenate
from numpy import (
generic,
integer,
ufunc,
bool_,
unsignedinteger,
signedinteger,
floating,
complexfloating,
object_,
)
from numpy._typing import (
ArrayLike,
NDArray,
_ShapeLike,
_ArrayLike,
_ArrayLikeBool_co,
_ArrayLikeUInt_co,
_ArrayLikeInt_co,
_ArrayLikeFloat_co,
_ArrayLikeComplex_co,
_ArrayLikeObject_co,
)
from numpy.core.shape_base import vstack
_P = ParamSpec("_P")
_SCT = TypeVar("_SCT", bound=generic)
# The signatures of `__array_wrap__` and `__array_prepare__` are the same;
# give them unique names for the sake of clarity
class _ArrayWrap(Protocol):
def __call__(
self,
array: NDArray[Any],
context: None | tuple[ufunc, tuple[Any, ...], int] = ...,
/,
) -> Any: ...
class _ArrayPrepare(Protocol):
def __call__(
self,
array: NDArray[Any],
context: None | tuple[ufunc, tuple[Any, ...], int] = ...,
/,
) -> Any: ...
class _SupportsArrayWrap(Protocol):
@property
def __array_wrap__(self) -> _ArrayWrap: ...
class _SupportsArrayPrepare(Protocol):
@property
def __array_prepare__(self) -> _ArrayPrepare: ...
__all__: list[str]
row_stack = vstack
def take_along_axis(
arr: _SCT | NDArray[_SCT],
indices: NDArray[integer[Any]],
axis: None | int,
) -> NDArray[_SCT]: ...
def put_along_axis(
arr: NDArray[_SCT],
indices: NDArray[integer[Any]],
values: ArrayLike,
axis: None | int,
) -> None: ...
@overload
def apply_along_axis(
func1d: Callable[Concatenate[NDArray[Any], _P], _ArrayLike[_SCT]],
axis: SupportsIndex,
arr: ArrayLike,
*args: _P.args,
**kwargs: _P.kwargs,
) -> NDArray[_SCT]: ...
@overload
def apply_along_axis(
func1d: Callable[Concatenate[NDArray[Any], _P], ArrayLike],
axis: SupportsIndex,
arr: ArrayLike,
*args: _P.args,
**kwargs: _P.kwargs,
) -> NDArray[Any]: ...
def apply_over_axes(
func: Callable[[NDArray[Any], int], NDArray[_SCT]],
a: ArrayLike,
axes: int | Sequence[int],
) -> NDArray[_SCT]: ...
@overload
def expand_dims(
a: _ArrayLike[_SCT],
axis: _ShapeLike,
) -> NDArray[_SCT]: ...
@overload
def expand_dims(
a: ArrayLike,
axis: _ShapeLike,
) -> NDArray[Any]: ...
@overload
def column_stack(tup: Sequence[_ArrayLike[_SCT]]) -> NDArray[_SCT]: ...
@overload
def column_stack(tup: Sequence[ArrayLike]) -> NDArray[Any]: ...
@overload
def dstack(tup: Sequence[_ArrayLike[_SCT]]) -> NDArray[_SCT]: ...
@overload
def dstack(tup: Sequence[ArrayLike]) -> NDArray[Any]: ...
@overload
def array_split(
ary: _ArrayLike[_SCT],
indices_or_sections: _ShapeLike,
axis: SupportsIndex = ...,
) -> list[NDArray[_SCT]]: ...
@overload
def array_split(
ary: ArrayLike,
indices_or_sections: _ShapeLike,
axis: SupportsIndex = ...,
) -> list[NDArray[Any]]: ...
@overload
def split(
ary: _ArrayLike[_SCT],
indices_or_sections: _ShapeLike,
axis: SupportsIndex = ...,
) -> list[NDArray[_SCT]]: ...
@overload
def split(
ary: ArrayLike,
indices_or_sections: _ShapeLike,
axis: SupportsIndex = ...,
) -> list[NDArray[Any]]: ...
@overload
def hsplit(
ary: _ArrayLike[_SCT],
indices_or_sections: _ShapeLike,
) -> list[NDArray[_SCT]]: ...
@overload
def hsplit(
ary: ArrayLike,
indices_or_sections: _ShapeLike,
) -> list[NDArray[Any]]: ...
@overload
def vsplit(
ary: _ArrayLike[_SCT],
indices_or_sections: _ShapeLike,
) -> list[NDArray[_SCT]]: ...
@overload
def vsplit(
ary: ArrayLike,
indices_or_sections: _ShapeLike,
) -> list[NDArray[Any]]: ...
@overload
def dsplit(
ary: _ArrayLike[_SCT],
indices_or_sections: _ShapeLike,
) -> list[NDArray[_SCT]]: ...
@overload
def dsplit(
ary: ArrayLike,
indices_or_sections: _ShapeLike,
) -> list[NDArray[Any]]: ...
@overload
def get_array_prepare(*args: _SupportsArrayPrepare) -> _ArrayPrepare: ...
@overload
def get_array_prepare(*args: object) -> None | _ArrayPrepare: ...
@overload
def get_array_wrap(*args: _SupportsArrayWrap) -> _ArrayWrap: ...
@overload
def get_array_wrap(*args: object) -> None | _ArrayWrap: ...
@overload
def kron(a: _ArrayLikeBool_co, b: _ArrayLikeBool_co) -> NDArray[bool_]: ... # type: ignore[misc]
@overload
def kron(a: _ArrayLikeUInt_co, b: _ArrayLikeUInt_co) -> NDArray[unsignedinteger[Any]]: ... # type: ignore[misc]
@overload
def kron(a: _ArrayLikeInt_co, b: _ArrayLikeInt_co) -> NDArray[signedinteger[Any]]: ... # type: ignore[misc]
@overload
def kron(a: _ArrayLikeFloat_co, b: _ArrayLikeFloat_co) -> NDArray[floating[Any]]: ... # type: ignore[misc]
@overload
def kron(a: _ArrayLikeComplex_co, b: _ArrayLikeComplex_co) -> NDArray[complexfloating[Any, Any]]: ...
@overload
def kron(a: _ArrayLikeObject_co, b: Any) -> NDArray[object_]: ...
@overload
def kron(a: Any, b: _ArrayLikeObject_co) -> NDArray[object_]: ...
@overload
def tile(
A: _ArrayLike[_SCT],
reps: int | Sequence[int],
) -> NDArray[_SCT]: ...
@overload
def tile(
A: ArrayLike,
reps: int | Sequence[int],
) -> NDArray[Any]: ...
@@ -0,0 +1,547 @@
"""
Utilities that manipulate strides to achieve desirable effects.
An explanation of strides can be found in the "ndarray.rst" file in the
NumPy reference guide.
"""
import numpy as np
from numpy.core.numeric import normalize_axis_tuple
from numpy.core.overrides import array_function_dispatch, set_module
__all__ = ['broadcast_to', 'broadcast_arrays', 'broadcast_shapes']
class DummyArray:
"""Dummy object that just exists to hang __array_interface__ dictionaries
and possibly keep alive a reference to a base array.
"""
def __init__(self, interface, base=None):
self.__array_interface__ = interface
self.base = base
def _maybe_view_as_subclass(original_array, new_array):
if type(original_array) is not type(new_array):
# if input was an ndarray subclass and subclasses were OK,
# then view the result as that subclass.
new_array = new_array.view(type=type(original_array))
# Since we have done something akin to a view from original_array, we
# should let the subclass finalize (if it has it implemented, i.e., is
# not None).
if new_array.__array_finalize__:
new_array.__array_finalize__(original_array)
return new_array
def as_strided(x, shape=None, strides=None, subok=False, writeable=True):
"""
Create a view into the array with the given shape and strides.
.. warning:: This function has to be used with extreme care, see notes.
Parameters
----------
x : ndarray
Array to create a new.
shape : sequence of int, optional
The shape of the new array. Defaults to ``x.shape``.
strides : sequence of int, optional
The strides of the new array. Defaults to ``x.strides``.
subok : bool, optional
.. versionadded:: 1.10
If True, subclasses are preserved.
writeable : bool, optional
.. versionadded:: 1.12
If set to False, the returned array will always be readonly.
Otherwise it will be writable if the original array was. It
is advisable to set this to False if possible (see Notes).
Returns
-------
view : ndarray
See also
--------
broadcast_to : broadcast an array to a given shape.
reshape : reshape an array.
lib.stride_tricks.sliding_window_view :
userfriendly and safe function for the creation of sliding window views.
Notes
-----
``as_strided`` creates a view into the array given the exact strides
and shape. This means it manipulates the internal data structure of
ndarray and, if done incorrectly, the array elements can point to
invalid memory and can corrupt results or crash your program.
It is advisable to always use the original ``x.strides`` when
calculating new strides to avoid reliance on a contiguous memory
layout.
Furthermore, arrays created with this function often contain self
overlapping memory, so that two elements are identical.
Vectorized write operations on such arrays will typically be
unpredictable. They may even give different results for small, large,
or transposed arrays.
Since writing to these arrays has to be tested and done with great
care, you may want to use ``writeable=False`` to avoid accidental write
operations.
For these reasons it is advisable to avoid ``as_strided`` when
possible.
"""
# first convert input to array, possibly keeping subclass
x = np.array(x, copy=False, subok=subok)
interface = dict(x.__array_interface__)
if shape is not None:
interface['shape'] = tuple(shape)
if strides is not None:
interface['strides'] = tuple(strides)
array = np.asarray(DummyArray(interface, base=x))
# The route via `__interface__` does not preserve structured
# dtypes. Since dtype should remain unchanged, we set it explicitly.
array.dtype = x.dtype
view = _maybe_view_as_subclass(x, array)
if view.flags.writeable and not writeable:
view.flags.writeable = False
return view
def _sliding_window_view_dispatcher(x, window_shape, axis=None, *,
subok=None, writeable=None):
return (x,)
@array_function_dispatch(_sliding_window_view_dispatcher)
def sliding_window_view(x, window_shape, axis=None, *,
subok=False, writeable=False):
"""
Create a sliding window view into the array with the given window shape.
Also known as rolling or moving window, the window slides across all
dimensions of the array and extracts subsets of the array at all window
positions.
.. versionadded:: 1.20.0
Parameters
----------
x : array_like
Array to create the sliding window view from.
window_shape : int or tuple of int
Size of window over each axis that takes part in the sliding window.
If `axis` is not present, must have same length as the number of input
array dimensions. Single integers `i` are treated as if they were the
tuple `(i,)`.
axis : int or tuple of int, optional
Axis or axes along which the sliding window is applied.
By default, the sliding window is applied to all axes and
`window_shape[i]` will refer to axis `i` of `x`.
If `axis` is given as a `tuple of int`, `window_shape[i]` will refer to
the axis `axis[i]` of `x`.
Single integers `i` are treated as if they were the tuple `(i,)`.
subok : bool, optional
If True, sub-classes will be passed-through, otherwise the returned
array will be forced to be a base-class array (default).
writeable : bool, optional
When true, allow writing to the returned view. The default is false,
as this should be used with caution: the returned view contains the
same memory location multiple times, so writing to one location will
cause others to change.
Returns
-------
view : ndarray
Sliding window view of the array. The sliding window dimensions are
inserted at the end, and the original dimensions are trimmed as
required by the size of the sliding window.
That is, ``view.shape = x_shape_trimmed + window_shape``, where
``x_shape_trimmed`` is ``x.shape`` with every entry reduced by one less
than the corresponding window size.
See Also
--------
lib.stride_tricks.as_strided: A lower-level and less safe routine for
creating arbitrary views from custom shape and strides.
broadcast_to: broadcast an array to a given shape.
Notes
-----
For many applications using a sliding window view can be convenient, but
potentially very slow. Often specialized solutions exist, for example:
- `scipy.signal.fftconvolve`
- filtering functions in `scipy.ndimage`
- moving window functions provided by
`bottleneck <https://github.com/pydata/bottleneck>`_.
As a rough estimate, a sliding window approach with an input size of `N`
and a window size of `W` will scale as `O(N*W)` where frequently a special
algorithm can achieve `O(N)`. That means that the sliding window variant
for a window size of 100 can be a 100 times slower than a more specialized
version.
Nevertheless, for small window sizes, when no custom algorithm exists, or
as a prototyping and developing tool, this function can be a good solution.
Examples
--------
>>> x = np.arange(6)
>>> x.shape
(6,)
>>> v = sliding_window_view(x, 3)
>>> v.shape
(4, 3)
>>> v
array([[0, 1, 2],
[1, 2, 3],
[2, 3, 4],
[3, 4, 5]])
This also works in more dimensions, e.g.
>>> i, j = np.ogrid[:3, :4]
>>> x = 10*i + j
>>> x.shape
(3, 4)
>>> x
array([[ 0, 1, 2, 3],
[10, 11, 12, 13],
[20, 21, 22, 23]])
>>> shape = (2,2)
>>> v = sliding_window_view(x, shape)
>>> v.shape
(2, 3, 2, 2)
>>> v
array([[[[ 0, 1],
[10, 11]],
[[ 1, 2],
[11, 12]],
[[ 2, 3],
[12, 13]]],
[[[10, 11],
[20, 21]],
[[11, 12],
[21, 22]],
[[12, 13],
[22, 23]]]])
The axis can be specified explicitly:
>>> v = sliding_window_view(x, 3, 0)
>>> v.shape
(1, 4, 3)
>>> v
array([[[ 0, 10, 20],
[ 1, 11, 21],
[ 2, 12, 22],
[ 3, 13, 23]]])
The same axis can be used several times. In that case, every use reduces
the corresponding original dimension:
>>> v = sliding_window_view(x, (2, 3), (1, 1))
>>> v.shape
(3, 1, 2, 3)
>>> v
array([[[[ 0, 1, 2],
[ 1, 2, 3]]],
[[[10, 11, 12],
[11, 12, 13]]],
[[[20, 21, 22],
[21, 22, 23]]]])
Combining with stepped slicing (`::step`), this can be used to take sliding
views which skip elements:
>>> x = np.arange(7)
>>> sliding_window_view(x, 5)[:, ::2]
array([[0, 2, 4],
[1, 3, 5],
[2, 4, 6]])
or views which move by multiple elements
>>> x = np.arange(7)
>>> sliding_window_view(x, 3)[::2, :]
array([[0, 1, 2],
[2, 3, 4],
[4, 5, 6]])
A common application of `sliding_window_view` is the calculation of running
statistics. The simplest example is the
`moving average <https://en.wikipedia.org/wiki/Moving_average>`_:
>>> x = np.arange(6)
>>> x.shape
(6,)
>>> v = sliding_window_view(x, 3)
>>> v.shape
(4, 3)
>>> v
array([[0, 1, 2],
[1, 2, 3],
[2, 3, 4],
[3, 4, 5]])
>>> moving_average = v.mean(axis=-1)
>>> moving_average
array([1., 2., 3., 4.])
Note that a sliding window approach is often **not** optimal (see Notes).
"""
window_shape = (tuple(window_shape)
if np.iterable(window_shape)
else (window_shape,))
# first convert input to array, possibly keeping subclass
x = np.array(x, copy=False, subok=subok)
window_shape_array = np.array(window_shape)
if np.any(window_shape_array < 0):
raise ValueError('`window_shape` cannot contain negative values')
if axis is None:
axis = tuple(range(x.ndim))
if len(window_shape) != len(axis):
raise ValueError(f'Since axis is `None`, must provide '
f'window_shape for all dimensions of `x`; '
f'got {len(window_shape)} window_shape elements '
f'and `x.ndim` is {x.ndim}.')
else:
axis = normalize_axis_tuple(axis, x.ndim, allow_duplicate=True)
if len(window_shape) != len(axis):
raise ValueError(f'Must provide matching length window_shape and '
f'axis; got {len(window_shape)} window_shape '
f'elements and {len(axis)} axes elements.')
out_strides = x.strides + tuple(x.strides[ax] for ax in axis)
# note: same axis can be windowed repeatedly
x_shape_trimmed = list(x.shape)
for ax, dim in zip(axis, window_shape):
if x_shape_trimmed[ax] < dim:
raise ValueError(
'window shape cannot be larger than input array shape')
x_shape_trimmed[ax] -= dim - 1
out_shape = tuple(x_shape_trimmed) + window_shape
return as_strided(x, strides=out_strides, shape=out_shape,
subok=subok, writeable=writeable)
def _broadcast_to(array, shape, subok, readonly):
shape = tuple(shape) if np.iterable(shape) else (shape,)
array = np.array(array, copy=False, subok=subok)
if not shape and array.shape:
raise ValueError('cannot broadcast a non-scalar to a scalar array')
if any(size < 0 for size in shape):
raise ValueError('all elements of broadcast shape must be non-'
'negative')
extras = []
it = np.nditer(
(array,), flags=['multi_index', 'refs_ok', 'zerosize_ok'] + extras,
op_flags=['readonly'], itershape=shape, order='C')
with it:
# never really has writebackifcopy semantics
broadcast = it.itviews[0]
result = _maybe_view_as_subclass(array, broadcast)
# In a future version this will go away
if not readonly and array.flags._writeable_no_warn:
result.flags.writeable = True
result.flags._warn_on_write = True
return result
def _broadcast_to_dispatcher(array, shape, subok=None):
return (array,)
@array_function_dispatch(_broadcast_to_dispatcher, module='numpy')
def broadcast_to(array, shape, subok=False):
"""Broadcast an array to a new shape.
Parameters
----------
array : array_like
The array to broadcast.
shape : tuple or int
The shape of the desired array. A single integer ``i`` is interpreted
as ``(i,)``.
subok : bool, optional
If True, then sub-classes will be passed-through, otherwise
the returned array will be forced to be a base-class array (default).
Returns
-------
broadcast : array
A readonly view on the original array with the given shape. It is
typically not contiguous. Furthermore, more than one element of a
broadcasted array may refer to a single memory location.
Raises
------
ValueError
If the array is not compatible with the new shape according to NumPy's
broadcasting rules.
See Also
--------
broadcast
broadcast_arrays
broadcast_shapes
Notes
-----
.. versionadded:: 1.10.0
Examples
--------
>>> x = np.array([1, 2, 3])
>>> np.broadcast_to(x, (3, 3))
array([[1, 2, 3],
[1, 2, 3],
[1, 2, 3]])
"""
return _broadcast_to(array, shape, subok=subok, readonly=True)
def _broadcast_shape(*args):
"""Returns the shape of the arrays that would result from broadcasting the
supplied arrays against each other.
"""
# use the old-iterator because np.nditer does not handle size 0 arrays
# consistently
b = np.broadcast(*args[:32])
# unfortunately, it cannot handle 32 or more arguments directly
for pos in range(32, len(args), 31):
# ironically, np.broadcast does not properly handle np.broadcast
# objects (it treats them as scalars)
# use broadcasting to avoid allocating the full array
b = broadcast_to(0, b.shape)
b = np.broadcast(b, *args[pos:(pos + 31)])
return b.shape
@set_module('numpy')
def broadcast_shapes(*args):
"""
Broadcast the input shapes into a single shape.
:ref:`Learn more about broadcasting here <basics.broadcasting>`.
.. versionadded:: 1.20.0
Parameters
----------
`*args` : tuples of ints, or ints
The shapes to be broadcast against each other.
Returns
-------
tuple
Broadcasted shape.
Raises
------
ValueError
If the shapes are not compatible and cannot be broadcast according
to NumPy's broadcasting rules.
See Also
--------
broadcast
broadcast_arrays
broadcast_to
Examples
--------
>>> np.broadcast_shapes((1, 2), (3, 1), (3, 2))
(3, 2)
>>> np.broadcast_shapes((6, 7), (5, 6, 1), (7,), (5, 1, 7))
(5, 6, 7)
"""
arrays = [np.empty(x, dtype=[]) for x in args]
return _broadcast_shape(*arrays)
def _broadcast_arrays_dispatcher(*args, subok=None):
return args
@array_function_dispatch(_broadcast_arrays_dispatcher, module='numpy')
def broadcast_arrays(*args, subok=False):
"""
Broadcast any number of arrays against each other.
Parameters
----------
`*args` : array_likes
The arrays to broadcast.
subok : bool, optional
If True, then sub-classes will be passed-through, otherwise
the returned arrays will be forced to be a base-class array (default).
Returns
-------
broadcasted : list of arrays
These arrays are views on the original arrays. They are typically
not contiguous. Furthermore, more than one element of a
broadcasted array may refer to a single memory location. If you need
to write to the arrays, make copies first. While you can set the
``writable`` flag True, writing to a single output value may end up
changing more than one location in the output array.
.. deprecated:: 1.17
The output is currently marked so that if written to, a deprecation
warning will be emitted. A future version will set the
``writable`` flag False so writing to it will raise an error.
See Also
--------
broadcast
broadcast_to
broadcast_shapes
Examples
--------
>>> x = np.array([[1,2,3]])
>>> y = np.array([[4],[5]])
>>> np.broadcast_arrays(x, y)
[array([[1, 2, 3],
[1, 2, 3]]), array([[4, 4, 4],
[5, 5, 5]])]
Here is a useful idiom for getting contiguous copies instead of
non-contiguous views.
>>> [np.array(a) for a in np.broadcast_arrays(x, y)]
[array([[1, 2, 3],
[1, 2, 3]]), array([[4, 4, 4],
[5, 5, 5]])]
"""
# nditer is not used here to avoid the limit of 32 arrays.
# Otherwise, something like the following one-liner would suffice:
# return np.nditer(args, flags=['multi_index', 'zerosize_ok'],
# order='C').itviews
args = [np.array(_m, copy=False, subok=subok) for _m in args]
shape = _broadcast_shape(*args)
if all(array.shape == shape for array in args):
# Common case where nothing needs to be broadcasted.
return args
return [_broadcast_to(array, shape, subok=subok, readonly=False)
for array in args]
@@ -0,0 +1,80 @@
from collections.abc import Iterable
from typing import Any, TypeVar, overload, SupportsIndex
from numpy import generic
from numpy._typing import (
NDArray,
ArrayLike,
_ShapeLike,
_Shape,
_ArrayLike
)
_SCT = TypeVar("_SCT", bound=generic)
__all__: list[str]
class DummyArray:
__array_interface__: dict[str, Any]
base: None | NDArray[Any]
def __init__(
self,
interface: dict[str, Any],
base: None | NDArray[Any] = ...,
) -> None: ...
@overload
def as_strided(
x: _ArrayLike[_SCT],
shape: None | Iterable[int] = ...,
strides: None | Iterable[int] = ...,
subok: bool = ...,
writeable: bool = ...,
) -> NDArray[_SCT]: ...
@overload
def as_strided(
x: ArrayLike,
shape: None | Iterable[int] = ...,
strides: None | Iterable[int] = ...,
subok: bool = ...,
writeable: bool = ...,
) -> NDArray[Any]: ...
@overload
def sliding_window_view(
x: _ArrayLike[_SCT],
window_shape: int | Iterable[int],
axis: None | SupportsIndex = ...,
*,
subok: bool = ...,
writeable: bool = ...,
) -> NDArray[_SCT]: ...
@overload
def sliding_window_view(
x: ArrayLike,
window_shape: int | Iterable[int],
axis: None | SupportsIndex = ...,
*,
subok: bool = ...,
writeable: bool = ...,
) -> NDArray[Any]: ...
@overload
def broadcast_to(
array: _ArrayLike[_SCT],
shape: int | Iterable[int],
subok: bool = ...,
) -> NDArray[_SCT]: ...
@overload
def broadcast_to(
array: ArrayLike,
shape: int | Iterable[int],
subok: bool = ...,
) -> NDArray[Any]: ...
def broadcast_shapes(*args: _ShapeLike) -> _Shape: ...
def broadcast_arrays(
*args: ArrayLike,
subok: bool = ...,
) -> list[NDArray[Any]]: ...
@@ -0,0 +1,350 @@
import os
import pytest
from tempfile import mkdtemp, mkstemp, NamedTemporaryFile
from shutil import rmtree
import numpy.lib._datasource as datasource
from numpy.testing import assert_, assert_equal, assert_raises
import urllib.request as urllib_request
from urllib.parse import urlparse
from urllib.error import URLError
def urlopen_stub(url, data=None):
'''Stub to replace urlopen for testing.'''
if url == valid_httpurl():
tmpfile = NamedTemporaryFile(prefix='urltmp_')
return tmpfile
else:
raise URLError('Name or service not known')
# setup and teardown
old_urlopen = None
def setup_module():
global old_urlopen
old_urlopen = urllib_request.urlopen
urllib_request.urlopen = urlopen_stub
def teardown_module():
urllib_request.urlopen = old_urlopen
# A valid website for more robust testing
http_path = 'http://www.google.com/'
http_file = 'index.html'
http_fakepath = 'http://fake.abc.web/site/'
http_fakefile = 'fake.txt'
malicious_files = ['/etc/shadow', '../../shadow',
'..\\system.dat', 'c:\\windows\\system.dat']
magic_line = b'three is the magic number'
# Utility functions used by many tests
def valid_textfile(filedir):
# Generate and return a valid temporary file.
fd, path = mkstemp(suffix='.txt', prefix='dstmp_', dir=filedir, text=True)
os.close(fd)
return path
def invalid_textfile(filedir):
# Generate and return an invalid filename.
fd, path = mkstemp(suffix='.txt', prefix='dstmp_', dir=filedir)
os.close(fd)
os.remove(path)
return path
def valid_httpurl():
return http_path+http_file
def invalid_httpurl():
return http_fakepath+http_fakefile
def valid_baseurl():
return http_path
def invalid_baseurl():
return http_fakepath
def valid_httpfile():
return http_file
def invalid_httpfile():
return http_fakefile
class TestDataSourceOpen:
def setup_method(self):
self.tmpdir = mkdtemp()
self.ds = datasource.DataSource(self.tmpdir)
def teardown_method(self):
rmtree(self.tmpdir)
del self.ds
def test_ValidHTTP(self):
fh = self.ds.open(valid_httpurl())
assert_(fh)
fh.close()
def test_InvalidHTTP(self):
url = invalid_httpurl()
assert_raises(OSError, self.ds.open, url)
try:
self.ds.open(url)
except OSError as e:
# Regression test for bug fixed in r4342.
assert_(e.errno is None)
def test_InvalidHTTPCacheURLError(self):
assert_raises(URLError, self.ds._cache, invalid_httpurl())
def test_ValidFile(self):
local_file = valid_textfile(self.tmpdir)
fh = self.ds.open(local_file)
assert_(fh)
fh.close()
def test_InvalidFile(self):
invalid_file = invalid_textfile(self.tmpdir)
assert_raises(OSError, self.ds.open, invalid_file)
def test_ValidGzipFile(self):
try:
import gzip
except ImportError:
# We don't have the gzip capabilities to test.
pytest.skip()
# Test datasource's internal file_opener for Gzip files.
filepath = os.path.join(self.tmpdir, 'foobar.txt.gz')
fp = gzip.open(filepath, 'w')
fp.write(magic_line)
fp.close()
fp = self.ds.open(filepath)
result = fp.readline()
fp.close()
assert_equal(magic_line, result)
def test_ValidBz2File(self):
try:
import bz2
except ImportError:
# We don't have the bz2 capabilities to test.
pytest.skip()
# Test datasource's internal file_opener for BZip2 files.
filepath = os.path.join(self.tmpdir, 'foobar.txt.bz2')
fp = bz2.BZ2File(filepath, 'w')
fp.write(magic_line)
fp.close()
fp = self.ds.open(filepath)
result = fp.readline()
fp.close()
assert_equal(magic_line, result)
class TestDataSourceExists:
def setup_method(self):
self.tmpdir = mkdtemp()
self.ds = datasource.DataSource(self.tmpdir)
def teardown_method(self):
rmtree(self.tmpdir)
del self.ds
def test_ValidHTTP(self):
assert_(self.ds.exists(valid_httpurl()))
def test_InvalidHTTP(self):
assert_equal(self.ds.exists(invalid_httpurl()), False)
def test_ValidFile(self):
# Test valid file in destpath
tmpfile = valid_textfile(self.tmpdir)
assert_(self.ds.exists(tmpfile))
# Test valid local file not in destpath
localdir = mkdtemp()
tmpfile = valid_textfile(localdir)
assert_(self.ds.exists(tmpfile))
rmtree(localdir)
def test_InvalidFile(self):
tmpfile = invalid_textfile(self.tmpdir)
assert_equal(self.ds.exists(tmpfile), False)
class TestDataSourceAbspath:
def setup_method(self):
self.tmpdir = os.path.abspath(mkdtemp())
self.ds = datasource.DataSource(self.tmpdir)
def teardown_method(self):
rmtree(self.tmpdir)
del self.ds
def test_ValidHTTP(self):
scheme, netloc, upath, pms, qry, frg = urlparse(valid_httpurl())
local_path = os.path.join(self.tmpdir, netloc,
upath.strip(os.sep).strip('/'))
assert_equal(local_path, self.ds.abspath(valid_httpurl()))
def test_ValidFile(self):
tmpfile = valid_textfile(self.tmpdir)
tmpfilename = os.path.split(tmpfile)[-1]
# Test with filename only
assert_equal(tmpfile, self.ds.abspath(tmpfilename))
# Test filename with complete path
assert_equal(tmpfile, self.ds.abspath(tmpfile))
def test_InvalidHTTP(self):
scheme, netloc, upath, pms, qry, frg = urlparse(invalid_httpurl())
invalidhttp = os.path.join(self.tmpdir, netloc,
upath.strip(os.sep).strip('/'))
assert_(invalidhttp != self.ds.abspath(valid_httpurl()))
def test_InvalidFile(self):
invalidfile = valid_textfile(self.tmpdir)
tmpfile = valid_textfile(self.tmpdir)
tmpfilename = os.path.split(tmpfile)[-1]
# Test with filename only
assert_(invalidfile != self.ds.abspath(tmpfilename))
# Test filename with complete path
assert_(invalidfile != self.ds.abspath(tmpfile))
def test_sandboxing(self):
tmpfile = valid_textfile(self.tmpdir)
tmpfilename = os.path.split(tmpfile)[-1]
tmp_path = lambda x: os.path.abspath(self.ds.abspath(x))
assert_(tmp_path(valid_httpurl()).startswith(self.tmpdir))
assert_(tmp_path(invalid_httpurl()).startswith(self.tmpdir))
assert_(tmp_path(tmpfile).startswith(self.tmpdir))
assert_(tmp_path(tmpfilename).startswith(self.tmpdir))
for fn in malicious_files:
assert_(tmp_path(http_path+fn).startswith(self.tmpdir))
assert_(tmp_path(fn).startswith(self.tmpdir))
def test_windows_os_sep(self):
orig_os_sep = os.sep
try:
os.sep = '\\'
self.test_ValidHTTP()
self.test_ValidFile()
self.test_InvalidHTTP()
self.test_InvalidFile()
self.test_sandboxing()
finally:
os.sep = orig_os_sep
class TestRepositoryAbspath:
def setup_method(self):
self.tmpdir = os.path.abspath(mkdtemp())
self.repos = datasource.Repository(valid_baseurl(), self.tmpdir)
def teardown_method(self):
rmtree(self.tmpdir)
del self.repos
def test_ValidHTTP(self):
scheme, netloc, upath, pms, qry, frg = urlparse(valid_httpurl())
local_path = os.path.join(self.repos._destpath, netloc,
upath.strip(os.sep).strip('/'))
filepath = self.repos.abspath(valid_httpfile())
assert_equal(local_path, filepath)
def test_sandboxing(self):
tmp_path = lambda x: os.path.abspath(self.repos.abspath(x))
assert_(tmp_path(valid_httpfile()).startswith(self.tmpdir))
for fn in malicious_files:
assert_(tmp_path(http_path+fn).startswith(self.tmpdir))
assert_(tmp_path(fn).startswith(self.tmpdir))
def test_windows_os_sep(self):
orig_os_sep = os.sep
try:
os.sep = '\\'
self.test_ValidHTTP()
self.test_sandboxing()
finally:
os.sep = orig_os_sep
class TestRepositoryExists:
def setup_method(self):
self.tmpdir = mkdtemp()
self.repos = datasource.Repository(valid_baseurl(), self.tmpdir)
def teardown_method(self):
rmtree(self.tmpdir)
del self.repos
def test_ValidFile(self):
# Create local temp file
tmpfile = valid_textfile(self.tmpdir)
assert_(self.repos.exists(tmpfile))
def test_InvalidFile(self):
tmpfile = invalid_textfile(self.tmpdir)
assert_equal(self.repos.exists(tmpfile), False)
def test_RemoveHTTPFile(self):
assert_(self.repos.exists(valid_httpurl()))
def test_CachedHTTPFile(self):
localfile = valid_httpurl()
# Create a locally cached temp file with an URL based
# directory structure. This is similar to what Repository.open
# would do.
scheme, netloc, upath, pms, qry, frg = urlparse(localfile)
local_path = os.path.join(self.repos._destpath, netloc)
os.mkdir(local_path, 0o0700)
tmpfile = valid_textfile(local_path)
assert_(self.repos.exists(tmpfile))
class TestOpenFunc:
def setup_method(self):
self.tmpdir = mkdtemp()
def teardown_method(self):
rmtree(self.tmpdir)
def test_DataSourceOpen(self):
local_file = valid_textfile(self.tmpdir)
# Test case where destpath is passed in
fp = datasource.open(local_file, destpath=self.tmpdir)
assert_(fp)
fp.close()
# Test case where default destpath is used
fp = datasource.open(local_file)
assert_(fp)
fp.close()
def test_del_attr_handling():
# DataSource __del__ can be called
# even if __init__ fails when the
# Exception object is caught by the
# caller as happens in refguide_check
# is_deprecated() function
ds = datasource.DataSource()
# simulate failed __init__ by removing key attribute
# produced within __init__ and expected by __del__
del ds._istmpdest
# should not raise an AttributeError if __del__
# gracefully handles failed __init__:
ds.__del__()
@@ -0,0 +1,353 @@
import time
from datetime import date
import numpy as np
from numpy.testing import (
assert_, assert_equal, assert_allclose, assert_raises,
)
from numpy.lib._iotools import (
LineSplitter, NameValidator, StringConverter,
has_nested_fields, easy_dtype, flatten_dtype
)
class TestLineSplitter:
"Tests the LineSplitter class."
def test_no_delimiter(self):
"Test LineSplitter w/o delimiter"
strg = " 1 2 3 4 5 # test"
test = LineSplitter()(strg)
assert_equal(test, ['1', '2', '3', '4', '5'])
test = LineSplitter('')(strg)
assert_equal(test, ['1', '2', '3', '4', '5'])
def test_space_delimiter(self):
"Test space delimiter"
strg = " 1 2 3 4 5 # test"
test = LineSplitter(' ')(strg)
assert_equal(test, ['1', '2', '3', '4', '', '5'])
test = LineSplitter(' ')(strg)
assert_equal(test, ['1 2 3 4', '5'])
def test_tab_delimiter(self):
"Test tab delimiter"
strg = " 1\t 2\t 3\t 4\t 5 6"
test = LineSplitter('\t')(strg)
assert_equal(test, ['1', '2', '3', '4', '5 6'])
strg = " 1 2\t 3 4\t 5 6"
test = LineSplitter('\t')(strg)
assert_equal(test, ['1 2', '3 4', '5 6'])
def test_other_delimiter(self):
"Test LineSplitter on delimiter"
strg = "1,2,3,4,,5"
test = LineSplitter(',')(strg)
assert_equal(test, ['1', '2', '3', '4', '', '5'])
#
strg = " 1,2,3,4,,5 # test"
test = LineSplitter(',')(strg)
assert_equal(test, ['1', '2', '3', '4', '', '5'])
# gh-11028 bytes comment/delimiters should get encoded
strg = b" 1,2,3,4,,5 % test"
test = LineSplitter(delimiter=b',', comments=b'%')(strg)
assert_equal(test, ['1', '2', '3', '4', '', '5'])
def test_constant_fixed_width(self):
"Test LineSplitter w/ fixed-width fields"
strg = " 1 2 3 4 5 # test"
test = LineSplitter(3)(strg)
assert_equal(test, ['1', '2', '3', '4', '', '5', ''])
#
strg = " 1 3 4 5 6# test"
test = LineSplitter(20)(strg)
assert_equal(test, ['1 3 4 5 6'])
#
strg = " 1 3 4 5 6# test"
test = LineSplitter(30)(strg)
assert_equal(test, ['1 3 4 5 6'])
def test_variable_fixed_width(self):
strg = " 1 3 4 5 6# test"
test = LineSplitter((3, 6, 6, 3))(strg)
assert_equal(test, ['1', '3', '4 5', '6'])
#
strg = " 1 3 4 5 6# test"
test = LineSplitter((6, 6, 9))(strg)
assert_equal(test, ['1', '3 4', '5 6'])
# -----------------------------------------------------------------------------
class TestNameValidator:
def test_case_sensitivity(self):
"Test case sensitivity"
names = ['A', 'a', 'b', 'c']
test = NameValidator().validate(names)
assert_equal(test, ['A', 'a', 'b', 'c'])
test = NameValidator(case_sensitive=False).validate(names)
assert_equal(test, ['A', 'A_1', 'B', 'C'])
test = NameValidator(case_sensitive='upper').validate(names)
assert_equal(test, ['A', 'A_1', 'B', 'C'])
test = NameValidator(case_sensitive='lower').validate(names)
assert_equal(test, ['a', 'a_1', 'b', 'c'])
# check exceptions
assert_raises(ValueError, NameValidator, case_sensitive='foobar')
def test_excludelist(self):
"Test excludelist"
names = ['dates', 'data', 'Other Data', 'mask']
validator = NameValidator(excludelist=['dates', 'data', 'mask'])
test = validator.validate(names)
assert_equal(test, ['dates_', 'data_', 'Other_Data', 'mask_'])
def test_missing_names(self):
"Test validate missing names"
namelist = ('a', 'b', 'c')
validator = NameValidator()
assert_equal(validator(namelist), ['a', 'b', 'c'])
namelist = ('', 'b', 'c')
assert_equal(validator(namelist), ['f0', 'b', 'c'])
namelist = ('a', 'b', '')
assert_equal(validator(namelist), ['a', 'b', 'f0'])
namelist = ('', 'f0', '')
assert_equal(validator(namelist), ['f1', 'f0', 'f2'])
def test_validate_nb_names(self):
"Test validate nb names"
namelist = ('a', 'b', 'c')
validator = NameValidator()
assert_equal(validator(namelist, nbfields=1), ('a',))
assert_equal(validator(namelist, nbfields=5, defaultfmt="g%i"),
['a', 'b', 'c', 'g0', 'g1'])
def test_validate_wo_names(self):
"Test validate no names"
namelist = None
validator = NameValidator()
assert_(validator(namelist) is None)
assert_equal(validator(namelist, nbfields=3), ['f0', 'f1', 'f2'])
# -----------------------------------------------------------------------------
def _bytes_to_date(s):
return date(*time.strptime(s, "%Y-%m-%d")[:3])
class TestStringConverter:
"Test StringConverter"
def test_creation(self):
"Test creation of a StringConverter"
converter = StringConverter(int, -99999)
assert_equal(converter._status, 1)
assert_equal(converter.default, -99999)
def test_upgrade(self):
"Tests the upgrade method."
converter = StringConverter()
assert_equal(converter._status, 0)
# test int
assert_equal(converter.upgrade('0'), 0)
assert_equal(converter._status, 1)
# On systems where long defaults to 32-bit, the statuses will be
# offset by one, so we check for this here.
import numpy.core.numeric as nx
status_offset = int(nx.dtype(nx.int_).itemsize < nx.dtype(nx.int64).itemsize)
# test int > 2**32
assert_equal(converter.upgrade('17179869184'), 17179869184)
assert_equal(converter._status, 1 + status_offset)
# test float
assert_allclose(converter.upgrade('0.'), 0.0)
assert_equal(converter._status, 2 + status_offset)
# test complex
assert_equal(converter.upgrade('0j'), complex('0j'))
assert_equal(converter._status, 3 + status_offset)
# test str
# note that the longdouble type has been skipped, so the
# _status increases by 2. Everything should succeed with
# unicode conversion (8).
for s in ['a', b'a']:
res = converter.upgrade(s)
assert_(type(res) is str)
assert_equal(res, 'a')
assert_equal(converter._status, 8 + status_offset)
def test_missing(self):
"Tests the use of missing values."
converter = StringConverter(missing_values=('missing',
'missed'))
converter.upgrade('0')
assert_equal(converter('0'), 0)
assert_equal(converter(''), converter.default)
assert_equal(converter('missing'), converter.default)
assert_equal(converter('missed'), converter.default)
try:
converter('miss')
except ValueError:
pass
def test_upgrademapper(self):
"Tests updatemapper"
dateparser = _bytes_to_date
_original_mapper = StringConverter._mapper[:]
try:
StringConverter.upgrade_mapper(dateparser, date(2000, 1, 1))
convert = StringConverter(dateparser, date(2000, 1, 1))
test = convert('2001-01-01')
assert_equal(test, date(2001, 1, 1))
test = convert('2009-01-01')
assert_equal(test, date(2009, 1, 1))
test = convert('')
assert_equal(test, date(2000, 1, 1))
finally:
StringConverter._mapper = _original_mapper
def test_string_to_object(self):
"Make sure that string-to-object functions are properly recognized"
old_mapper = StringConverter._mapper[:] # copy of list
conv = StringConverter(_bytes_to_date)
assert_equal(conv._mapper, old_mapper)
assert_(hasattr(conv, 'default'))
def test_keep_default(self):
"Make sure we don't lose an explicit default"
converter = StringConverter(None, missing_values='',
default=-999)
converter.upgrade('3.14159265')
assert_equal(converter.default, -999)
assert_equal(converter.type, np.dtype(float))
#
converter = StringConverter(
None, missing_values='', default=0)
converter.upgrade('3.14159265')
assert_equal(converter.default, 0)
assert_equal(converter.type, np.dtype(float))
def test_keep_default_zero(self):
"Check that we don't lose a default of 0"
converter = StringConverter(int, default=0,
missing_values="N/A")
assert_equal(converter.default, 0)
def test_keep_missing_values(self):
"Check that we're not losing missing values"
converter = StringConverter(int, default=0,
missing_values="N/A")
assert_equal(
converter.missing_values, {'', 'N/A'})
def test_int64_dtype(self):
"Check that int64 integer types can be specified"
converter = StringConverter(np.int64, default=0)
val = "-9223372036854775807"
assert_(converter(val) == -9223372036854775807)
val = "9223372036854775807"
assert_(converter(val) == 9223372036854775807)
def test_uint64_dtype(self):
"Check that uint64 integer types can be specified"
converter = StringConverter(np.uint64, default=0)
val = "9223372043271415339"
assert_(converter(val) == 9223372043271415339)
class TestMiscFunctions:
def test_has_nested_dtype(self):
"Test has_nested_dtype"
ndtype = np.dtype(float)
assert_equal(has_nested_fields(ndtype), False)
ndtype = np.dtype([('A', '|S3'), ('B', float)])
assert_equal(has_nested_fields(ndtype), False)
ndtype = np.dtype([('A', int), ('B', [('BA', float), ('BB', '|S1')])])
assert_equal(has_nested_fields(ndtype), True)
def test_easy_dtype(self):
"Test ndtype on dtypes"
# Simple case
ndtype = float
assert_equal(easy_dtype(ndtype), np.dtype(float))
# As string w/o names
ndtype = "i4, f8"
assert_equal(easy_dtype(ndtype),
np.dtype([('f0', "i4"), ('f1', "f8")]))
# As string w/o names but different default format
assert_equal(easy_dtype(ndtype, defaultfmt="field_%03i"),
np.dtype([('field_000', "i4"), ('field_001', "f8")]))
# As string w/ names
ndtype = "i4, f8"
assert_equal(easy_dtype(ndtype, names="a, b"),
np.dtype([('a', "i4"), ('b', "f8")]))
# As string w/ names (too many)
ndtype = "i4, f8"
assert_equal(easy_dtype(ndtype, names="a, b, c"),
np.dtype([('a', "i4"), ('b', "f8")]))
# As string w/ names (not enough)
ndtype = "i4, f8"
assert_equal(easy_dtype(ndtype, names=", b"),
np.dtype([('f0', "i4"), ('b', "f8")]))
# ... (with different default format)
assert_equal(easy_dtype(ndtype, names="a", defaultfmt="f%02i"),
np.dtype([('a', "i4"), ('f00', "f8")]))
# As list of tuples w/o names
ndtype = [('A', int), ('B', float)]
assert_equal(easy_dtype(ndtype), np.dtype([('A', int), ('B', float)]))
# As list of tuples w/ names
assert_equal(easy_dtype(ndtype, names="a,b"),
np.dtype([('a', int), ('b', float)]))
# As list of tuples w/ not enough names
assert_equal(easy_dtype(ndtype, names="a"),
np.dtype([('a', int), ('f0', float)]))
# As list of tuples w/ too many names
assert_equal(easy_dtype(ndtype, names="a,b,c"),
np.dtype([('a', int), ('b', float)]))
# As list of types w/o names
ndtype = (int, float, float)
assert_equal(easy_dtype(ndtype),
np.dtype([('f0', int), ('f1', float), ('f2', float)]))
# As list of types w names
ndtype = (int, float, float)
assert_equal(easy_dtype(ndtype, names="a, b, c"),
np.dtype([('a', int), ('b', float), ('c', float)]))
# As simple dtype w/ names
ndtype = np.dtype(float)
assert_equal(easy_dtype(ndtype, names="a, b, c"),
np.dtype([(_, float) for _ in ('a', 'b', 'c')]))
# As simple dtype w/o names (but multiple fields)
ndtype = np.dtype(float)
assert_equal(
easy_dtype(ndtype, names=['', '', ''], defaultfmt="f%02i"),
np.dtype([(_, float) for _ in ('f00', 'f01', 'f02')]))
def test_flatten_dtype(self):
"Testing flatten_dtype"
# Standard dtype
dt = np.dtype([("a", "f8"), ("b", "f8")])
dt_flat = flatten_dtype(dt)
assert_equal(dt_flat, [float, float])
# Recursive dtype
dt = np.dtype([("a", [("aa", '|S1'), ("ab", '|S2')]), ("b", int)])
dt_flat = flatten_dtype(dt)
assert_equal(dt_flat, [np.dtype('|S1'), np.dtype('|S2'), int])
# dtype with shaped fields
dt = np.dtype([("a", (float, 2)), ("b", (int, 3))])
dt_flat = flatten_dtype(dt)
assert_equal(dt_flat, [float, int])
dt_flat = flatten_dtype(dt, True)
assert_equal(dt_flat, [float] * 2 + [int] * 3)
# dtype w/ titles
dt = np.dtype([(("a", "A"), "f8"), (("b", "B"), "f8")])
dt_flat = flatten_dtype(dt)
assert_equal(dt_flat, [float, float])
@@ -0,0 +1,64 @@
"""Tests for the NumpyVersion class.
"""
from numpy.testing import assert_, assert_raises
from numpy.lib import NumpyVersion
def test_main_versions():
assert_(NumpyVersion('1.8.0') == '1.8.0')
for ver in ['1.9.0', '2.0.0', '1.8.1', '10.0.1']:
assert_(NumpyVersion('1.8.0') < ver)
for ver in ['1.7.0', '1.7.1', '0.9.9']:
assert_(NumpyVersion('1.8.0') > ver)
def test_version_1_point_10():
# regression test for gh-2998.
assert_(NumpyVersion('1.9.0') < '1.10.0')
assert_(NumpyVersion('1.11.0') < '1.11.1')
assert_(NumpyVersion('1.11.0') == '1.11.0')
assert_(NumpyVersion('1.99.11') < '1.99.12')
def test_alpha_beta_rc():
assert_(NumpyVersion('1.8.0rc1') == '1.8.0rc1')
for ver in ['1.8.0', '1.8.0rc2']:
assert_(NumpyVersion('1.8.0rc1') < ver)
for ver in ['1.8.0a2', '1.8.0b3', '1.7.2rc4']:
assert_(NumpyVersion('1.8.0rc1') > ver)
assert_(NumpyVersion('1.8.0b1') > '1.8.0a2')
def test_dev_version():
assert_(NumpyVersion('1.9.0.dev-Unknown') < '1.9.0')
for ver in ['1.9.0', '1.9.0a1', '1.9.0b2', '1.9.0b2.dev-ffffffff']:
assert_(NumpyVersion('1.9.0.dev-f16acvda') < ver)
assert_(NumpyVersion('1.9.0.dev-f16acvda') == '1.9.0.dev-11111111')
def test_dev_a_b_rc_mixed():
assert_(NumpyVersion('1.9.0a2.dev-f16acvda') == '1.9.0a2.dev-11111111')
assert_(NumpyVersion('1.9.0a2.dev-6acvda54') < '1.9.0a2')
def test_dev0_version():
assert_(NumpyVersion('1.9.0.dev0+Unknown') < '1.9.0')
for ver in ['1.9.0', '1.9.0a1', '1.9.0b2', '1.9.0b2.dev0+ffffffff']:
assert_(NumpyVersion('1.9.0.dev0+f16acvda') < ver)
assert_(NumpyVersion('1.9.0.dev0+f16acvda') == '1.9.0.dev0+11111111')
def test_dev0_a_b_rc_mixed():
assert_(NumpyVersion('1.9.0a2.dev0+f16acvda') == '1.9.0a2.dev0+11111111')
assert_(NumpyVersion('1.9.0a2.dev0+6acvda54') < '1.9.0a2')
def test_raises():
for ver in ['1.9', '1,9.0', '1.7.x']:
assert_raises(ValueError, NumpyVersion, ver)
File diff suppressed because it is too large Load Diff
@@ -0,0 +1,944 @@
"""Test functions for 1D array set operations.
"""
import numpy as np
from numpy.testing import (assert_array_equal, assert_equal,
assert_raises, assert_raises_regex)
from numpy.lib.arraysetops import (
ediff1d, intersect1d, setxor1d, union1d, setdiff1d, unique, in1d, isin
)
import pytest
class TestSetOps:
def test_intersect1d(self):
# unique inputs
a = np.array([5, 7, 1, 2])
b = np.array([2, 4, 3, 1, 5])
ec = np.array([1, 2, 5])
c = intersect1d(a, b, assume_unique=True)
assert_array_equal(c, ec)
# non-unique inputs
a = np.array([5, 5, 7, 1, 2])
b = np.array([2, 1, 4, 3, 3, 1, 5])
ed = np.array([1, 2, 5])
c = intersect1d(a, b)
assert_array_equal(c, ed)
assert_array_equal([], intersect1d([], []))
def test_intersect1d_array_like(self):
# See gh-11772
class Test:
def __array__(self):
return np.arange(3)
a = Test()
res = intersect1d(a, a)
assert_array_equal(res, a)
res = intersect1d([1, 2, 3], [1, 2, 3])
assert_array_equal(res, [1, 2, 3])
def test_intersect1d_indices(self):
# unique inputs
a = np.array([1, 2, 3, 4])
b = np.array([2, 1, 4, 6])
c, i1, i2 = intersect1d(a, b, assume_unique=True, return_indices=True)
ee = np.array([1, 2, 4])
assert_array_equal(c, ee)
assert_array_equal(a[i1], ee)
assert_array_equal(b[i2], ee)
# non-unique inputs
a = np.array([1, 2, 2, 3, 4, 3, 2])
b = np.array([1, 8, 4, 2, 2, 3, 2, 3])
c, i1, i2 = intersect1d(a, b, return_indices=True)
ef = np.array([1, 2, 3, 4])
assert_array_equal(c, ef)
assert_array_equal(a[i1], ef)
assert_array_equal(b[i2], ef)
# non1d, unique inputs
a = np.array([[2, 4, 5, 6], [7, 8, 1, 15]])
b = np.array([[3, 2, 7, 6], [10, 12, 8, 9]])
c, i1, i2 = intersect1d(a, b, assume_unique=True, return_indices=True)
ui1 = np.unravel_index(i1, a.shape)
ui2 = np.unravel_index(i2, b.shape)
ea = np.array([2, 6, 7, 8])
assert_array_equal(ea, a[ui1])
assert_array_equal(ea, b[ui2])
# non1d, not assumed to be uniqueinputs
a = np.array([[2, 4, 5, 6, 6], [4, 7, 8, 7, 2]])
b = np.array([[3, 2, 7, 7], [10, 12, 8, 7]])
c, i1, i2 = intersect1d(a, b, return_indices=True)
ui1 = np.unravel_index(i1, a.shape)
ui2 = np.unravel_index(i2, b.shape)
ea = np.array([2, 7, 8])
assert_array_equal(ea, a[ui1])
assert_array_equal(ea, b[ui2])
def test_setxor1d(self):
a = np.array([5, 7, 1, 2])
b = np.array([2, 4, 3, 1, 5])
ec = np.array([3, 4, 7])
c = setxor1d(a, b)
assert_array_equal(c, ec)
a = np.array([1, 2, 3])
b = np.array([6, 5, 4])
ec = np.array([1, 2, 3, 4, 5, 6])
c = setxor1d(a, b)
assert_array_equal(c, ec)
a = np.array([1, 8, 2, 3])
b = np.array([6, 5, 4, 8])
ec = np.array([1, 2, 3, 4, 5, 6])
c = setxor1d(a, b)
assert_array_equal(c, ec)
assert_array_equal([], setxor1d([], []))
def test_ediff1d(self):
zero_elem = np.array([])
one_elem = np.array([1])
two_elem = np.array([1, 2])
assert_array_equal([], ediff1d(zero_elem))
assert_array_equal([0], ediff1d(zero_elem, to_begin=0))
assert_array_equal([0], ediff1d(zero_elem, to_end=0))
assert_array_equal([-1, 0], ediff1d(zero_elem, to_begin=-1, to_end=0))
assert_array_equal([], ediff1d(one_elem))
assert_array_equal([1], ediff1d(two_elem))
assert_array_equal([7, 1, 9], ediff1d(two_elem, to_begin=7, to_end=9))
assert_array_equal([5, 6, 1, 7, 8],
ediff1d(two_elem, to_begin=[5, 6], to_end=[7, 8]))
assert_array_equal([1, 9], ediff1d(two_elem, to_end=9))
assert_array_equal([1, 7, 8], ediff1d(two_elem, to_end=[7, 8]))
assert_array_equal([7, 1], ediff1d(two_elem, to_begin=7))
assert_array_equal([5, 6, 1], ediff1d(two_elem, to_begin=[5, 6]))
@pytest.mark.parametrize("ary, prepend, append, expected", [
# should fail because trying to cast
# np.nan standard floating point value
# into an integer array:
(np.array([1, 2, 3], dtype=np.int64),
None,
np.nan,
'to_end'),
# should fail because attempting
# to downcast to int type:
(np.array([1, 2, 3], dtype=np.int64),
np.array([5, 7, 2], dtype=np.float32),
None,
'to_begin'),
# should fail because attempting to cast
# two special floating point values
# to integers (on both sides of ary),
# `to_begin` is in the error message as the impl checks this first:
(np.array([1., 3., 9.], dtype=np.int8),
np.nan,
np.nan,
'to_begin'),
])
def test_ediff1d_forbidden_type_casts(self, ary, prepend, append, expected):
# verify resolution of gh-11490
# specifically, raise an appropriate
# Exception when attempting to append or
# prepend with an incompatible type
msg = 'dtype of `{}` must be compatible'.format(expected)
with assert_raises_regex(TypeError, msg):
ediff1d(ary=ary,
to_end=append,
to_begin=prepend)
@pytest.mark.parametrize(
"ary,prepend,append,expected",
[
(np.array([1, 2, 3], dtype=np.int16),
2**16, # will be cast to int16 under same kind rule.
2**16 + 4,
np.array([0, 1, 1, 4], dtype=np.int16)),
(np.array([1, 2, 3], dtype=np.float32),
np.array([5], dtype=np.float64),
None,
np.array([5, 1, 1], dtype=np.float32)),
(np.array([1, 2, 3], dtype=np.int32),
0,
0,
np.array([0, 1, 1, 0], dtype=np.int32)),
(np.array([1, 2, 3], dtype=np.int64),
3,
-9,
np.array([3, 1, 1, -9], dtype=np.int64)),
]
)
def test_ediff1d_scalar_handling(self,
ary,
prepend,
append,
expected):
# maintain backwards-compatibility
# of scalar prepend / append behavior
# in ediff1d following fix for gh-11490
actual = np.ediff1d(ary=ary,
to_end=append,
to_begin=prepend)
assert_equal(actual, expected)
assert actual.dtype == expected.dtype
@pytest.mark.parametrize("kind", [None, "sort", "table"])
def test_isin(self, kind):
# the tests for in1d cover most of isin's behavior
# if in1d is removed, would need to change those tests to test
# isin instead.
def _isin_slow(a, b):
b = np.asarray(b).flatten().tolist()
return a in b
isin_slow = np.vectorize(_isin_slow, otypes=[bool], excluded={1})
def assert_isin_equal(a, b):
x = isin(a, b, kind=kind)
y = isin_slow(a, b)
assert_array_equal(x, y)
# multidimensional arrays in both arguments
a = np.arange(24).reshape([2, 3, 4])
b = np.array([[10, 20, 30], [0, 1, 3], [11, 22, 33]])
assert_isin_equal(a, b)
# array-likes as both arguments
c = [(9, 8), (7, 6)]
d = (9, 7)
assert_isin_equal(c, d)
# zero-d array:
f = np.array(3)
assert_isin_equal(f, b)
assert_isin_equal(a, f)
assert_isin_equal(f, f)
# scalar:
assert_isin_equal(5, b)
assert_isin_equal(a, 6)
assert_isin_equal(5, 6)
# empty array-like:
if kind != "table":
# An empty list will become float64,
# which is invalid for kind="table"
x = []
assert_isin_equal(x, b)
assert_isin_equal(a, x)
assert_isin_equal(x, x)
# empty array with various types:
for dtype in [bool, np.int64, np.float64]:
if kind == "table" and dtype == np.float64:
continue
if dtype in {np.int64, np.float64}:
ar = np.array([10, 20, 30], dtype=dtype)
elif dtype in {bool}:
ar = np.array([True, False, False])
empty_array = np.array([], dtype=dtype)
assert_isin_equal(empty_array, ar)
assert_isin_equal(ar, empty_array)
assert_isin_equal(empty_array, empty_array)
@pytest.mark.parametrize("kind", [None, "sort", "table"])
def test_in1d(self, kind):
# we use two different sizes for the b array here to test the
# two different paths in in1d().
for mult in (1, 10):
# One check without np.array to make sure lists are handled correct
a = [5, 7, 1, 2]
b = [2, 4, 3, 1, 5] * mult
ec = np.array([True, False, True, True])
c = in1d(a, b, assume_unique=True, kind=kind)
assert_array_equal(c, ec)
a[0] = 8
ec = np.array([False, False, True, True])
c = in1d(a, b, assume_unique=True, kind=kind)
assert_array_equal(c, ec)
a[0], a[3] = 4, 8
ec = np.array([True, False, True, False])
c = in1d(a, b, assume_unique=True, kind=kind)
assert_array_equal(c, ec)
a = np.array([5, 4, 5, 3, 4, 4, 3, 4, 3, 5, 2, 1, 5, 5])
b = [2, 3, 4] * mult
ec = [False, True, False, True, True, True, True, True, True,
False, True, False, False, False]
c = in1d(a, b, kind=kind)
assert_array_equal(c, ec)
b = b + [5, 5, 4] * mult
ec = [True, True, True, True, True, True, True, True, True, True,
True, False, True, True]
c = in1d(a, b, kind=kind)
assert_array_equal(c, ec)
a = np.array([5, 7, 1, 2])
b = np.array([2, 4, 3, 1, 5] * mult)
ec = np.array([True, False, True, True])
c = in1d(a, b, kind=kind)
assert_array_equal(c, ec)
a = np.array([5, 7, 1, 1, 2])
b = np.array([2, 4, 3, 3, 1, 5] * mult)
ec = np.array([True, False, True, True, True])
c = in1d(a, b, kind=kind)
assert_array_equal(c, ec)
a = np.array([5, 5])
b = np.array([2, 2] * mult)
ec = np.array([False, False])
c = in1d(a, b, kind=kind)
assert_array_equal(c, ec)
a = np.array([5])
b = np.array([2])
ec = np.array([False])
c = in1d(a, b, kind=kind)
assert_array_equal(c, ec)
if kind in {None, "sort"}:
assert_array_equal(in1d([], [], kind=kind), [])
def test_in1d_char_array(self):
a = np.array(['a', 'b', 'c', 'd', 'e', 'c', 'e', 'b'])
b = np.array(['a', 'c'])
ec = np.array([True, False, True, False, False, True, False, False])
c = in1d(a, b)
assert_array_equal(c, ec)
@pytest.mark.parametrize("kind", [None, "sort", "table"])
def test_in1d_invert(self, kind):
"Test in1d's invert parameter"
# We use two different sizes for the b array here to test the
# two different paths in in1d().
for mult in (1, 10):
a = np.array([5, 4, 5, 3, 4, 4, 3, 4, 3, 5, 2, 1, 5, 5])
b = [2, 3, 4] * mult
assert_array_equal(np.invert(in1d(a, b, kind=kind)),
in1d(a, b, invert=True, kind=kind))
# float:
if kind in {None, "sort"}:
for mult in (1, 10):
a = np.array([5, 4, 5, 3, 4, 4, 3, 4, 3, 5, 2, 1, 5, 5],
dtype=np.float32)
b = [2, 3, 4] * mult
b = np.array(b, dtype=np.float32)
assert_array_equal(np.invert(in1d(a, b, kind=kind)),
in1d(a, b, invert=True, kind=kind))
@pytest.mark.parametrize("kind", [None, "sort", "table"])
def test_in1d_ravel(self, kind):
# Test that in1d ravels its input arrays. This is not documented
# behavior however. The test is to ensure consistentency.
a = np.arange(6).reshape(2, 3)
b = np.arange(3, 9).reshape(3, 2)
long_b = np.arange(3, 63).reshape(30, 2)
ec = np.array([False, False, False, True, True, True])
assert_array_equal(in1d(a, b, assume_unique=True, kind=kind),
ec)
assert_array_equal(in1d(a, b, assume_unique=False,
kind=kind),
ec)
assert_array_equal(in1d(a, long_b, assume_unique=True,
kind=kind),
ec)
assert_array_equal(in1d(a, long_b, assume_unique=False,
kind=kind),
ec)
def test_in1d_hit_alternate_algorithm(self):
"""Hit the standard isin code with integers"""
# Need extreme range to hit standard code
# This hits it without the use of kind='table'
a = np.array([5, 4, 5, 3, 4, 4, 1e9], dtype=np.int64)
b = np.array([2, 3, 4, 1e9], dtype=np.int64)
expected = np.array([0, 1, 0, 1, 1, 1, 1], dtype=bool)
assert_array_equal(expected, in1d(a, b))
assert_array_equal(np.invert(expected), in1d(a, b, invert=True))
a = np.array([5, 7, 1, 2], dtype=np.int64)
b = np.array([2, 4, 3, 1, 5, 1e9], dtype=np.int64)
ec = np.array([True, False, True, True])
c = in1d(a, b, assume_unique=True)
assert_array_equal(c, ec)
@pytest.mark.parametrize("kind", [None, "sort", "table"])
def test_in1d_boolean(self, kind):
"""Test that in1d works for boolean input"""
a = np.array([True, False])
b = np.array([False, False, False])
expected = np.array([False, True])
assert_array_equal(expected,
in1d(a, b, kind=kind))
assert_array_equal(np.invert(expected),
in1d(a, b, invert=True, kind=kind))
@pytest.mark.parametrize("kind", [None, "sort"])
def test_in1d_timedelta(self, kind):
"""Test that in1d works for timedelta input"""
rstate = np.random.RandomState(0)
a = rstate.randint(0, 100, size=10)
b = rstate.randint(0, 100, size=10)
truth = in1d(a, b)
a_timedelta = a.astype("timedelta64[s]")
b_timedelta = b.astype("timedelta64[s]")
assert_array_equal(truth, in1d(a_timedelta, b_timedelta, kind=kind))
def test_in1d_table_timedelta_fails(self):
a = np.array([0, 1, 2], dtype="timedelta64[s]")
b = a
# Make sure it raises a value error:
with pytest.raises(ValueError):
in1d(a, b, kind="table")
@pytest.mark.parametrize(
"dtype1,dtype2",
[
(np.int8, np.int16),
(np.int16, np.int8),
(np.uint8, np.uint16),
(np.uint16, np.uint8),
(np.uint8, np.int16),
(np.int16, np.uint8),
]
)
@pytest.mark.parametrize("kind", [None, "sort", "table"])
def test_in1d_mixed_dtype(self, dtype1, dtype2, kind):
"""Test that in1d works as expected for mixed dtype input."""
is_dtype2_signed = np.issubdtype(dtype2, np.signedinteger)
ar1 = np.array([0, 0, 1, 1], dtype=dtype1)
if is_dtype2_signed:
ar2 = np.array([-128, 0, 127], dtype=dtype2)
else:
ar2 = np.array([127, 0, 255], dtype=dtype2)
expected = np.array([True, True, False, False])
expect_failure = kind == "table" and any((
dtype1 == np.int8 and dtype2 == np.int16,
dtype1 == np.int16 and dtype2 == np.int8
))
if expect_failure:
with pytest.raises(RuntimeError, match="exceed the maximum"):
in1d(ar1, ar2, kind=kind)
else:
assert_array_equal(in1d(ar1, ar2, kind=kind), expected)
@pytest.mark.parametrize("kind", [None, "sort", "table"])
def test_in1d_mixed_boolean(self, kind):
"""Test that in1d works as expected for bool/int input."""
for dtype in np.typecodes["AllInteger"]:
a = np.array([True, False, False], dtype=bool)
b = np.array([0, 0, 0, 0], dtype=dtype)
expected = np.array([False, True, True], dtype=bool)
assert_array_equal(in1d(a, b, kind=kind), expected)
a, b = b, a
expected = np.array([True, True, True, True], dtype=bool)
assert_array_equal(in1d(a, b, kind=kind), expected)
def test_in1d_first_array_is_object(self):
ar1 = [None]
ar2 = np.array([1]*10)
expected = np.array([False])
result = np.in1d(ar1, ar2)
assert_array_equal(result, expected)
def test_in1d_second_array_is_object(self):
ar1 = 1
ar2 = np.array([None]*10)
expected = np.array([False])
result = np.in1d(ar1, ar2)
assert_array_equal(result, expected)
def test_in1d_both_arrays_are_object(self):
ar1 = [None]
ar2 = np.array([None]*10)
expected = np.array([True])
result = np.in1d(ar1, ar2)
assert_array_equal(result, expected)
def test_in1d_both_arrays_have_structured_dtype(self):
# Test arrays of a structured data type containing an integer field
# and a field of dtype `object` allowing for arbitrary Python objects
dt = np.dtype([('field1', int), ('field2', object)])
ar1 = np.array([(1, None)], dtype=dt)
ar2 = np.array([(1, None)]*10, dtype=dt)
expected = np.array([True])
result = np.in1d(ar1, ar2)
assert_array_equal(result, expected)
def test_in1d_with_arrays_containing_tuples(self):
ar1 = np.array([(1,), 2], dtype=object)
ar2 = np.array([(1,), 2], dtype=object)
expected = np.array([True, True])
result = np.in1d(ar1, ar2)
assert_array_equal(result, expected)
result = np.in1d(ar1, ar2, invert=True)
assert_array_equal(result, np.invert(expected))
# An integer is added at the end of the array to make sure
# that the array builder will create the array with tuples
# and after it's created the integer is removed.
# There's a bug in the array constructor that doesn't handle
# tuples properly and adding the integer fixes that.
ar1 = np.array([(1,), (2, 1), 1], dtype=object)
ar1 = ar1[:-1]
ar2 = np.array([(1,), (2, 1), 1], dtype=object)
ar2 = ar2[:-1]
expected = np.array([True, True])
result = np.in1d(ar1, ar2)
assert_array_equal(result, expected)
result = np.in1d(ar1, ar2, invert=True)
assert_array_equal(result, np.invert(expected))
ar1 = np.array([(1,), (2, 3), 1], dtype=object)
ar1 = ar1[:-1]
ar2 = np.array([(1,), 2], dtype=object)
expected = np.array([True, False])
result = np.in1d(ar1, ar2)
assert_array_equal(result, expected)
result = np.in1d(ar1, ar2, invert=True)
assert_array_equal(result, np.invert(expected))
def test_in1d_errors(self):
"""Test that in1d raises expected errors."""
# Error 1: `kind` is not one of 'sort' 'table' or None.
ar1 = np.array([1, 2, 3, 4, 5])
ar2 = np.array([2, 4, 6, 8, 10])
assert_raises(ValueError, in1d, ar1, ar2, kind='quicksort')
# Error 2: `kind="table"` does not work for non-integral arrays.
obj_ar1 = np.array([1, 'a', 3, 'b', 5], dtype=object)
obj_ar2 = np.array([1, 'a', 3, 'b', 5], dtype=object)
assert_raises(ValueError, in1d, obj_ar1, obj_ar2, kind='table')
for dtype in [np.int32, np.int64]:
ar1 = np.array([-1, 2, 3, 4, 5], dtype=dtype)
# The range of this array will overflow:
overflow_ar2 = np.array([-1, np.iinfo(dtype).max], dtype=dtype)
# Error 3: `kind="table"` will trigger a runtime error
# if there is an integer overflow expected when computing the
# range of ar2
assert_raises(
RuntimeError,
in1d, ar1, overflow_ar2, kind='table'
)
# Non-error: `kind=None` will *not* trigger a runtime error
# if there is an integer overflow, it will switch to
# the `sort` algorithm.
result = np.in1d(ar1, overflow_ar2, kind=None)
assert_array_equal(result, [True] + [False] * 4)
result = np.in1d(ar1, overflow_ar2, kind='sort')
assert_array_equal(result, [True] + [False] * 4)
def test_union1d(self):
a = np.array([5, 4, 7, 1, 2])
b = np.array([2, 4, 3, 3, 2, 1, 5])
ec = np.array([1, 2, 3, 4, 5, 7])
c = union1d(a, b)
assert_array_equal(c, ec)
# Tests gh-10340, arguments to union1d should be
# flattened if they are not already 1D
x = np.array([[0, 1, 2], [3, 4, 5]])
y = np.array([0, 1, 2, 3, 4])
ez = np.array([0, 1, 2, 3, 4, 5])
z = union1d(x, y)
assert_array_equal(z, ez)
assert_array_equal([], union1d([], []))
def test_setdiff1d(self):
a = np.array([6, 5, 4, 7, 1, 2, 7, 4])
b = np.array([2, 4, 3, 3, 2, 1, 5])
ec = np.array([6, 7])
c = setdiff1d(a, b)
assert_array_equal(c, ec)
a = np.arange(21)
b = np.arange(19)
ec = np.array([19, 20])
c = setdiff1d(a, b)
assert_array_equal(c, ec)
assert_array_equal([], setdiff1d([], []))
a = np.array((), np.uint32)
assert_equal(setdiff1d(a, []).dtype, np.uint32)
def test_setdiff1d_unique(self):
a = np.array([3, 2, 1])
b = np.array([7, 5, 2])
expected = np.array([3, 1])
actual = setdiff1d(a, b, assume_unique=True)
assert_equal(actual, expected)
def test_setdiff1d_char_array(self):
a = np.array(['a', 'b', 'c'])
b = np.array(['a', 'b', 's'])
assert_array_equal(setdiff1d(a, b), np.array(['c']))
def test_manyways(self):
a = np.array([5, 7, 1, 2, 8])
b = np.array([9, 8, 2, 4, 3, 1, 5])
c1 = setxor1d(a, b)
aux1 = intersect1d(a, b)
aux2 = union1d(a, b)
c2 = setdiff1d(aux2, aux1)
assert_array_equal(c1, c2)
class TestUnique:
def test_unique_1d(self):
def check_all(a, b, i1, i2, c, dt):
base_msg = 'check {0} failed for type {1}'
msg = base_msg.format('values', dt)
v = unique(a)
assert_array_equal(v, b, msg)
msg = base_msg.format('return_index', dt)
v, j = unique(a, True, False, False)
assert_array_equal(v, b, msg)
assert_array_equal(j, i1, msg)
msg = base_msg.format('return_inverse', dt)
v, j = unique(a, False, True, False)
assert_array_equal(v, b, msg)
assert_array_equal(j, i2, msg)
msg = base_msg.format('return_counts', dt)
v, j = unique(a, False, False, True)
assert_array_equal(v, b, msg)
assert_array_equal(j, c, msg)
msg = base_msg.format('return_index and return_inverse', dt)
v, j1, j2 = unique(a, True, True, False)
assert_array_equal(v, b, msg)
assert_array_equal(j1, i1, msg)
assert_array_equal(j2, i2, msg)
msg = base_msg.format('return_index and return_counts', dt)
v, j1, j2 = unique(a, True, False, True)
assert_array_equal(v, b, msg)
assert_array_equal(j1, i1, msg)
assert_array_equal(j2, c, msg)
msg = base_msg.format('return_inverse and return_counts', dt)
v, j1, j2 = unique(a, False, True, True)
assert_array_equal(v, b, msg)
assert_array_equal(j1, i2, msg)
assert_array_equal(j2, c, msg)
msg = base_msg.format(('return_index, return_inverse '
'and return_counts'), dt)
v, j1, j2, j3 = unique(a, True, True, True)
assert_array_equal(v, b, msg)
assert_array_equal(j1, i1, msg)
assert_array_equal(j2, i2, msg)
assert_array_equal(j3, c, msg)
a = [5, 7, 1, 2, 1, 5, 7]*10
b = [1, 2, 5, 7]
i1 = [2, 3, 0, 1]
i2 = [2, 3, 0, 1, 0, 2, 3]*10
c = np.multiply([2, 1, 2, 2], 10)
# test for numeric arrays
types = []
types.extend(np.typecodes['AllInteger'])
types.extend(np.typecodes['AllFloat'])
types.append('datetime64[D]')
types.append('timedelta64[D]')
for dt in types:
aa = np.array(a, dt)
bb = np.array(b, dt)
check_all(aa, bb, i1, i2, c, dt)
# test for object arrays
dt = 'O'
aa = np.empty(len(a), dt)
aa[:] = a
bb = np.empty(len(b), dt)
bb[:] = b
check_all(aa, bb, i1, i2, c, dt)
# test for structured arrays
dt = [('', 'i'), ('', 'i')]
aa = np.array(list(zip(a, a)), dt)
bb = np.array(list(zip(b, b)), dt)
check_all(aa, bb, i1, i2, c, dt)
# test for ticket #2799
aa = [1. + 0.j, 1 - 1.j, 1]
assert_array_equal(np.unique(aa), [1. - 1.j, 1. + 0.j])
# test for ticket #4785
a = [(1, 2), (1, 2), (2, 3)]
unq = [1, 2, 3]
inv = [0, 1, 0, 1, 1, 2]
a1 = unique(a)
assert_array_equal(a1, unq)
a2, a2_inv = unique(a, return_inverse=True)
assert_array_equal(a2, unq)
assert_array_equal(a2_inv, inv)
# test for chararrays with return_inverse (gh-5099)
a = np.chararray(5)
a[...] = ''
a2, a2_inv = np.unique(a, return_inverse=True)
assert_array_equal(a2_inv, np.zeros(5))
# test for ticket #9137
a = []
a1_idx = np.unique(a, return_index=True)[1]
a2_inv = np.unique(a, return_inverse=True)[1]
a3_idx, a3_inv = np.unique(a, return_index=True,
return_inverse=True)[1:]
assert_equal(a1_idx.dtype, np.intp)
assert_equal(a2_inv.dtype, np.intp)
assert_equal(a3_idx.dtype, np.intp)
assert_equal(a3_inv.dtype, np.intp)
# test for ticket 2111 - float
a = [2.0, np.nan, 1.0, np.nan]
ua = [1.0, 2.0, np.nan]
ua_idx = [2, 0, 1]
ua_inv = [1, 2, 0, 2]
ua_cnt = [1, 1, 2]
assert_equal(np.unique(a), ua)
assert_equal(np.unique(a, return_index=True), (ua, ua_idx))
assert_equal(np.unique(a, return_inverse=True), (ua, ua_inv))
assert_equal(np.unique(a, return_counts=True), (ua, ua_cnt))
# test for ticket 2111 - complex
a = [2.0-1j, np.nan, 1.0+1j, complex(0.0, np.nan), complex(1.0, np.nan)]
ua = [1.0+1j, 2.0-1j, complex(0.0, np.nan)]
ua_idx = [2, 0, 3]
ua_inv = [1, 2, 0, 2, 2]
ua_cnt = [1, 1, 3]
assert_equal(np.unique(a), ua)
assert_equal(np.unique(a, return_index=True), (ua, ua_idx))
assert_equal(np.unique(a, return_inverse=True), (ua, ua_inv))
assert_equal(np.unique(a, return_counts=True), (ua, ua_cnt))
# test for ticket 2111 - datetime64
nat = np.datetime64('nat')
a = [np.datetime64('2020-12-26'), nat, np.datetime64('2020-12-24'), nat]
ua = [np.datetime64('2020-12-24'), np.datetime64('2020-12-26'), nat]
ua_idx = [2, 0, 1]
ua_inv = [1, 2, 0, 2]
ua_cnt = [1, 1, 2]
assert_equal(np.unique(a), ua)
assert_equal(np.unique(a, return_index=True), (ua, ua_idx))
assert_equal(np.unique(a, return_inverse=True), (ua, ua_inv))
assert_equal(np.unique(a, return_counts=True), (ua, ua_cnt))
# test for ticket 2111 - timedelta
nat = np.timedelta64('nat')
a = [np.timedelta64(1, 'D'), nat, np.timedelta64(1, 'h'), nat]
ua = [np.timedelta64(1, 'h'), np.timedelta64(1, 'D'), nat]
ua_idx = [2, 0, 1]
ua_inv = [1, 2, 0, 2]
ua_cnt = [1, 1, 2]
assert_equal(np.unique(a), ua)
assert_equal(np.unique(a, return_index=True), (ua, ua_idx))
assert_equal(np.unique(a, return_inverse=True), (ua, ua_inv))
assert_equal(np.unique(a, return_counts=True), (ua, ua_cnt))
# test for gh-19300
all_nans = [np.nan] * 4
ua = [np.nan]
ua_idx = [0]
ua_inv = [0, 0, 0, 0]
ua_cnt = [4]
assert_equal(np.unique(all_nans), ua)
assert_equal(np.unique(all_nans, return_index=True), (ua, ua_idx))
assert_equal(np.unique(all_nans, return_inverse=True), (ua, ua_inv))
assert_equal(np.unique(all_nans, return_counts=True), (ua, ua_cnt))
def test_unique_axis_errors(self):
assert_raises(TypeError, self._run_axis_tests, object)
assert_raises(TypeError, self._run_axis_tests,
[('a', int), ('b', object)])
assert_raises(np.AxisError, unique, np.arange(10), axis=2)
assert_raises(np.AxisError, unique, np.arange(10), axis=-2)
def test_unique_axis_list(self):
msg = "Unique failed on list of lists"
inp = [[0, 1, 0], [0, 1, 0]]
inp_arr = np.asarray(inp)
assert_array_equal(unique(inp, axis=0), unique(inp_arr, axis=0), msg)
assert_array_equal(unique(inp, axis=1), unique(inp_arr, axis=1), msg)
def test_unique_axis(self):
types = []
types.extend(np.typecodes['AllInteger'])
types.extend(np.typecodes['AllFloat'])
types.append('datetime64[D]')
types.append('timedelta64[D]')
types.append([('a', int), ('b', int)])
types.append([('a', int), ('b', float)])
for dtype in types:
self._run_axis_tests(dtype)
msg = 'Non-bitwise-equal booleans test failed'
data = np.arange(10, dtype=np.uint8).reshape(-1, 2).view(bool)
result = np.array([[False, True], [True, True]], dtype=bool)
assert_array_equal(unique(data, axis=0), result, msg)
msg = 'Negative zero equality test failed'
data = np.array([[-0.0, 0.0], [0.0, -0.0], [-0.0, 0.0], [0.0, -0.0]])
result = np.array([[-0.0, 0.0]])
assert_array_equal(unique(data, axis=0), result, msg)
@pytest.mark.parametrize("axis", [0, -1])
def test_unique_1d_with_axis(self, axis):
x = np.array([4, 3, 2, 3, 2, 1, 2, 2])
uniq = unique(x, axis=axis)
assert_array_equal(uniq, [1, 2, 3, 4])
def test_unique_axis_zeros(self):
# issue 15559
single_zero = np.empty(shape=(2, 0), dtype=np.int8)
uniq, idx, inv, cnt = unique(single_zero, axis=0, return_index=True,
return_inverse=True, return_counts=True)
# there's 1 element of shape (0,) along axis 0
assert_equal(uniq.dtype, single_zero.dtype)
assert_array_equal(uniq, np.empty(shape=(1, 0)))
assert_array_equal(idx, np.array([0]))
assert_array_equal(inv, np.array([0, 0]))
assert_array_equal(cnt, np.array([2]))
# there's 0 elements of shape (2,) along axis 1
uniq, idx, inv, cnt = unique(single_zero, axis=1, return_index=True,
return_inverse=True, return_counts=True)
assert_equal(uniq.dtype, single_zero.dtype)
assert_array_equal(uniq, np.empty(shape=(2, 0)))
assert_array_equal(idx, np.array([]))
assert_array_equal(inv, np.array([]))
assert_array_equal(cnt, np.array([]))
# test a "complicated" shape
shape = (0, 2, 0, 3, 0, 4, 0)
multiple_zeros = np.empty(shape=shape)
for axis in range(len(shape)):
expected_shape = list(shape)
if shape[axis] == 0:
expected_shape[axis] = 0
else:
expected_shape[axis] = 1
assert_array_equal(unique(multiple_zeros, axis=axis),
np.empty(shape=expected_shape))
def test_unique_masked(self):
# issue 8664
x = np.array([64, 0, 1, 2, 3, 63, 63, 0, 0, 0, 1, 2, 0, 63, 0],
dtype='uint8')
y = np.ma.masked_equal(x, 0)
v = np.unique(y)
v2, i, c = np.unique(y, return_index=True, return_counts=True)
msg = 'Unique returned different results when asked for index'
assert_array_equal(v.data, v2.data, msg)
assert_array_equal(v.mask, v2.mask, msg)
def test_unique_sort_order_with_axis(self):
# These tests fail if sorting along axis is done by treating subarrays
# as unsigned byte strings. See gh-10495.
fmt = "sort order incorrect for integer type '%s'"
for dt in 'bhilq':
a = np.array([[-1], [0]], dt)
b = np.unique(a, axis=0)
assert_array_equal(a, b, fmt % dt)
def _run_axis_tests(self, dtype):
data = np.array([[0, 1, 0, 0],
[1, 0, 0, 0],
[0, 1, 0, 0],
[1, 0, 0, 0]]).astype(dtype)
msg = 'Unique with 1d array and axis=0 failed'
result = np.array([0, 1])
assert_array_equal(unique(data), result.astype(dtype), msg)
msg = 'Unique with 2d array and axis=0 failed'
result = np.array([[0, 1, 0, 0], [1, 0, 0, 0]])
assert_array_equal(unique(data, axis=0), result.astype(dtype), msg)
msg = 'Unique with 2d array and axis=1 failed'
result = np.array([[0, 0, 1], [0, 1, 0], [0, 0, 1], [0, 1, 0]])
assert_array_equal(unique(data, axis=1), result.astype(dtype), msg)
msg = 'Unique with 3d array and axis=2 failed'
data3d = np.array([[[1, 1],
[1, 0]],
[[0, 1],
[0, 0]]]).astype(dtype)
result = np.take(data3d, [1, 0], axis=2)
assert_array_equal(unique(data3d, axis=2), result, msg)
uniq, idx, inv, cnt = unique(data, axis=0, return_index=True,
return_inverse=True, return_counts=True)
msg = "Unique's return_index=True failed with axis=0"
assert_array_equal(data[idx], uniq, msg)
msg = "Unique's return_inverse=True failed with axis=0"
assert_array_equal(uniq[inv], data)
msg = "Unique's return_counts=True failed with axis=0"
assert_array_equal(cnt, np.array([2, 2]), msg)
uniq, idx, inv, cnt = unique(data, axis=1, return_index=True,
return_inverse=True, return_counts=True)
msg = "Unique's return_index=True failed with axis=1"
assert_array_equal(data[:, idx], uniq)
msg = "Unique's return_inverse=True failed with axis=1"
assert_array_equal(uniq[:, inv], data)
msg = "Unique's return_counts=True failed with axis=1"
assert_array_equal(cnt, np.array([2, 1, 1]), msg)
def test_unique_nanequals(self):
# issue 20326
a = np.array([1, 1, np.nan, np.nan, np.nan])
unq = np.unique(a)
not_unq = np.unique(a, equal_nan=False)
assert_array_equal(unq, np.array([1, np.nan]))
assert_array_equal(not_unq, np.array([1, np.nan, np.nan, np.nan]))
@@ -0,0 +1,46 @@
from operator import mul
from functools import reduce
import numpy as np
from numpy.random import randint
from numpy.lib import Arrayterator
from numpy.testing import assert_
def test():
np.random.seed(np.arange(10))
# Create a random array
ndims = randint(5)+1
shape = tuple(randint(10)+1 for dim in range(ndims))
els = reduce(mul, shape)
a = np.arange(els)
a.shape = shape
buf_size = randint(2*els)
b = Arrayterator(a, buf_size)
# Check that each block has at most ``buf_size`` elements
for block in b:
assert_(len(block.flat) <= (buf_size or els))
# Check that all elements are iterated correctly
assert_(list(b.flat) == list(a.flat))
# Slice arrayterator
start = [randint(dim) for dim in shape]
stop = [randint(dim)+1 for dim in shape]
step = [randint(dim)+1 for dim in shape]
slice_ = tuple(slice(*t) for t in zip(start, stop, step))
c = b[slice_]
d = a[slice_]
# Check that each block has at most ``buf_size`` elements
for block in c:
assert_(len(block.flat) <= (buf_size or els))
# Check that the arrayterator is sliced correctly
assert_(np.all(c.__array__() == d))
# Check that all elements are iterated correctly
assert_(list(c.flat) == list(d.flat))
@@ -0,0 +1,11 @@
import sys
import pytest
import numpy as np
def test_financial_expired():
match = 'NEP 32'
with pytest.warns(DeprecationWarning, match=match):
func = np.fv
with pytest.raises(RuntimeError, match=match):
func(1, 2, 3)
File diff suppressed because it is too large Load Diff
File diff suppressed because it is too large Load Diff
@@ -0,0 +1,816 @@
import numpy as np
from numpy.lib.histograms import histogram, histogramdd, histogram_bin_edges
from numpy.testing import (
assert_, assert_equal, assert_array_equal, assert_almost_equal,
assert_array_almost_equal, assert_raises, assert_allclose,
assert_array_max_ulp, assert_raises_regex, suppress_warnings,
)
from numpy.testing._private.utils import requires_memory
import pytest
class TestHistogram:
def setup_method(self):
pass
def teardown_method(self):
pass
def test_simple(self):
n = 100
v = np.random.rand(n)
(a, b) = histogram(v)
# check if the sum of the bins equals the number of samples
assert_equal(np.sum(a, axis=0), n)
# check that the bin counts are evenly spaced when the data is from
# a linear function
(a, b) = histogram(np.linspace(0, 10, 100))
assert_array_equal(a, 10)
def test_one_bin(self):
# Ticket 632
hist, edges = histogram([1, 2, 3, 4], [1, 2])
assert_array_equal(hist, [2, ])
assert_array_equal(edges, [1, 2])
assert_raises(ValueError, histogram, [1, 2], bins=0)
h, e = histogram([1, 2], bins=1)
assert_equal(h, np.array([2]))
assert_allclose(e, np.array([1., 2.]))
def test_density(self):
# Check that the integral of the density equals 1.
n = 100
v = np.random.rand(n)
a, b = histogram(v, density=True)
area = np.sum(a * np.diff(b))
assert_almost_equal(area, 1)
# Check with non-constant bin widths
v = np.arange(10)
bins = [0, 1, 3, 6, 10]
a, b = histogram(v, bins, density=True)
assert_array_equal(a, .1)
assert_equal(np.sum(a * np.diff(b)), 1)
# Test that passing False works too
a, b = histogram(v, bins, density=False)
assert_array_equal(a, [1, 2, 3, 4])
# Variable bin widths are especially useful to deal with
# infinities.
v = np.arange(10)
bins = [0, 1, 3, 6, np.inf]
a, b = histogram(v, bins, density=True)
assert_array_equal(a, [.1, .1, .1, 0.])
# Taken from a bug report from N. Becker on the numpy-discussion
# mailing list Aug. 6, 2010.
counts, dmy = np.histogram(
[1, 2, 3, 4], [0.5, 1.5, np.inf], density=True)
assert_equal(counts, [.25, 0])
def test_outliers(self):
# Check that outliers are not tallied
a = np.arange(10) + .5
# Lower outliers
h, b = histogram(a, range=[0, 9])
assert_equal(h.sum(), 9)
# Upper outliers
h, b = histogram(a, range=[1, 10])
assert_equal(h.sum(), 9)
# Normalization
h, b = histogram(a, range=[1, 9], density=True)
assert_almost_equal((h * np.diff(b)).sum(), 1, decimal=15)
# Weights
w = np.arange(10) + .5
h, b = histogram(a, range=[1, 9], weights=w, density=True)
assert_equal((h * np.diff(b)).sum(), 1)
h, b = histogram(a, bins=8, range=[1, 9], weights=w)
assert_equal(h, w[1:-1])
def test_arr_weights_mismatch(self):
a = np.arange(10) + .5
w = np.arange(11) + .5
with assert_raises_regex(ValueError, "same shape as"):
h, b = histogram(a, range=[1, 9], weights=w, density=True)
def test_type(self):
# Check the type of the returned histogram
a = np.arange(10) + .5
h, b = histogram(a)
assert_(np.issubdtype(h.dtype, np.integer))
h, b = histogram(a, density=True)
assert_(np.issubdtype(h.dtype, np.floating))
h, b = histogram(a, weights=np.ones(10, int))
assert_(np.issubdtype(h.dtype, np.integer))
h, b = histogram(a, weights=np.ones(10, float))
assert_(np.issubdtype(h.dtype, np.floating))
def test_f32_rounding(self):
# gh-4799, check that the rounding of the edges works with float32
x = np.array([276.318359, -69.593948, 21.329449], dtype=np.float32)
y = np.array([5005.689453, 4481.327637, 6010.369629], dtype=np.float32)
counts_hist, xedges, yedges = np.histogram2d(x, y, bins=100)
assert_equal(counts_hist.sum(), 3.)
def test_bool_conversion(self):
# gh-12107
# Reference integer histogram
a = np.array([1, 1, 0], dtype=np.uint8)
int_hist, int_edges = np.histogram(a)
# Should raise an warning on booleans
# Ensure that the histograms are equivalent, need to suppress
# the warnings to get the actual outputs
with suppress_warnings() as sup:
rec = sup.record(RuntimeWarning, 'Converting input from .*')
hist, edges = np.histogram([True, True, False])
# A warning should be issued
assert_equal(len(rec), 1)
assert_array_equal(hist, int_hist)
assert_array_equal(edges, int_edges)
def test_weights(self):
v = np.random.rand(100)
w = np.ones(100) * 5
a, b = histogram(v)
na, nb = histogram(v, density=True)
wa, wb = histogram(v, weights=w)
nwa, nwb = histogram(v, weights=w, density=True)
assert_array_almost_equal(a * 5, wa)
assert_array_almost_equal(na, nwa)
# Check weights are properly applied.
v = np.linspace(0, 10, 10)
w = np.concatenate((np.zeros(5), np.ones(5)))
wa, wb = histogram(v, bins=np.arange(11), weights=w)
assert_array_almost_equal(wa, w)
# Check with integer weights
wa, wb = histogram([1, 2, 2, 4], bins=4, weights=[4, 3, 2, 1])
assert_array_equal(wa, [4, 5, 0, 1])
wa, wb = histogram(
[1, 2, 2, 4], bins=4, weights=[4, 3, 2, 1], density=True)
assert_array_almost_equal(wa, np.array([4, 5, 0, 1]) / 10. / 3. * 4)
# Check weights with non-uniform bin widths
a, b = histogram(
np.arange(9), [0, 1, 3, 6, 10],
weights=[2, 1, 1, 1, 1, 1, 1, 1, 1], density=True)
assert_almost_equal(a, [.2, .1, .1, .075])
def test_exotic_weights(self):
# Test the use of weights that are not integer or floats, but e.g.
# complex numbers or object types.
# Complex weights
values = np.array([1.3, 2.5, 2.3])
weights = np.array([1, -1, 2]) + 1j * np.array([2, 1, 2])
# Check with custom bins
wa, wb = histogram(values, bins=[0, 2, 3], weights=weights)
assert_array_almost_equal(wa, np.array([1, 1]) + 1j * np.array([2, 3]))
# Check with even bins
wa, wb = histogram(values, bins=2, range=[1, 3], weights=weights)
assert_array_almost_equal(wa, np.array([1, 1]) + 1j * np.array([2, 3]))
# Decimal weights
from decimal import Decimal
values = np.array([1.3, 2.5, 2.3])
weights = np.array([Decimal(1), Decimal(2), Decimal(3)])
# Check with custom bins
wa, wb = histogram(values, bins=[0, 2, 3], weights=weights)
assert_array_almost_equal(wa, [Decimal(1), Decimal(5)])
# Check with even bins
wa, wb = histogram(values, bins=2, range=[1, 3], weights=weights)
assert_array_almost_equal(wa, [Decimal(1), Decimal(5)])
def test_no_side_effects(self):
# This is a regression test that ensures that values passed to
# ``histogram`` are unchanged.
values = np.array([1.3, 2.5, 2.3])
np.histogram(values, range=[-10, 10], bins=100)
assert_array_almost_equal(values, [1.3, 2.5, 2.3])
def test_empty(self):
a, b = histogram([], bins=([0, 1]))
assert_array_equal(a, np.array([0]))
assert_array_equal(b, np.array([0, 1]))
def test_error_binnum_type (self):
# Tests if right Error is raised if bins argument is float
vals = np.linspace(0.0, 1.0, num=100)
histogram(vals, 5)
assert_raises(TypeError, histogram, vals, 2.4)
def test_finite_range(self):
# Normal ranges should be fine
vals = np.linspace(0.0, 1.0, num=100)
histogram(vals, range=[0.25,0.75])
assert_raises(ValueError, histogram, vals, range=[np.nan,0.75])
assert_raises(ValueError, histogram, vals, range=[0.25,np.inf])
def test_invalid_range(self):
# start of range must be < end of range
vals = np.linspace(0.0, 1.0, num=100)
with assert_raises_regex(ValueError, "max must be larger than"):
np.histogram(vals, range=[0.1, 0.01])
def test_bin_edge_cases(self):
# Ensure that floating-point computations correctly place edge cases.
arr = np.array([337, 404, 739, 806, 1007, 1811, 2012])
hist, edges = np.histogram(arr, bins=8296, range=(2, 2280))
mask = hist > 0
left_edges = edges[:-1][mask]
right_edges = edges[1:][mask]
for x, left, right in zip(arr, left_edges, right_edges):
assert_(x >= left)
assert_(x < right)
def test_last_bin_inclusive_range(self):
arr = np.array([0., 0., 0., 1., 2., 3., 3., 4., 5.])
hist, edges = np.histogram(arr, bins=30, range=(-0.5, 5))
assert_equal(hist[-1], 1)
def test_bin_array_dims(self):
# gracefully handle bins object > 1 dimension
vals = np.linspace(0.0, 1.0, num=100)
bins = np.array([[0, 0.5], [0.6, 1.0]])
with assert_raises_regex(ValueError, "must be 1d"):
np.histogram(vals, bins=bins)
def test_unsigned_monotonicity_check(self):
# Ensures ValueError is raised if bins not increasing monotonically
# when bins contain unsigned values (see #9222)
arr = np.array([2])
bins = np.array([1, 3, 1], dtype='uint64')
with assert_raises(ValueError):
hist, edges = np.histogram(arr, bins=bins)
def test_object_array_of_0d(self):
# gh-7864
assert_raises(ValueError,
histogram, [np.array(0.4) for i in range(10)] + [-np.inf])
assert_raises(ValueError,
histogram, [np.array(0.4) for i in range(10)] + [np.inf])
# these should not crash
np.histogram([np.array(0.5) for i in range(10)] + [.500000000000001])
np.histogram([np.array(0.5) for i in range(10)] + [.5])
def test_some_nan_values(self):
# gh-7503
one_nan = np.array([0, 1, np.nan])
all_nan = np.array([np.nan, np.nan])
# the internal comparisons with NaN give warnings
sup = suppress_warnings()
sup.filter(RuntimeWarning)
with sup:
# can't infer range with nan
assert_raises(ValueError, histogram, one_nan, bins='auto')
assert_raises(ValueError, histogram, all_nan, bins='auto')
# explicit range solves the problem
h, b = histogram(one_nan, bins='auto', range=(0, 1))
assert_equal(h.sum(), 2) # nan is not counted
h, b = histogram(all_nan, bins='auto', range=(0, 1))
assert_equal(h.sum(), 0) # nan is not counted
# as does an explicit set of bins
h, b = histogram(one_nan, bins=[0, 1])
assert_equal(h.sum(), 2) # nan is not counted
h, b = histogram(all_nan, bins=[0, 1])
assert_equal(h.sum(), 0) # nan is not counted
def test_datetime(self):
begin = np.datetime64('2000-01-01', 'D')
offsets = np.array([0, 0, 1, 1, 2, 3, 5, 10, 20])
bins = np.array([0, 2, 7, 20])
dates = begin + offsets
date_bins = begin + bins
td = np.dtype('timedelta64[D]')
# Results should be the same for integer offsets or datetime values.
# For now, only explicit bins are supported, since linspace does not
# work on datetimes or timedeltas
d_count, d_edge = histogram(dates, bins=date_bins)
t_count, t_edge = histogram(offsets.astype(td), bins=bins.astype(td))
i_count, i_edge = histogram(offsets, bins=bins)
assert_equal(d_count, i_count)
assert_equal(t_count, i_count)
assert_equal((d_edge - begin).astype(int), i_edge)
assert_equal(t_edge.astype(int), i_edge)
assert_equal(d_edge.dtype, dates.dtype)
assert_equal(t_edge.dtype, td)
def do_signed_overflow_bounds(self, dtype):
exponent = 8 * np.dtype(dtype).itemsize - 1
arr = np.array([-2**exponent + 4, 2**exponent - 4], dtype=dtype)
hist, e = histogram(arr, bins=2)
assert_equal(e, [-2**exponent + 4, 0, 2**exponent - 4])
assert_equal(hist, [1, 1])
def test_signed_overflow_bounds(self):
self.do_signed_overflow_bounds(np.byte)
self.do_signed_overflow_bounds(np.short)
self.do_signed_overflow_bounds(np.intc)
self.do_signed_overflow_bounds(np.int_)
self.do_signed_overflow_bounds(np.longlong)
def do_precision_lower_bound(self, float_small, float_large):
eps = np.finfo(float_large).eps
arr = np.array([1.0], float_small)
range = np.array([1.0 + eps, 2.0], float_large)
# test is looking for behavior when the bounds change between dtypes
if range.astype(float_small)[0] != 1:
return
# previously crashed
count, x_loc = np.histogram(arr, bins=1, range=range)
assert_equal(count, [1])
# gh-10322 means that the type comes from arr - this may change
assert_equal(x_loc.dtype, float_small)
def do_precision_upper_bound(self, float_small, float_large):
eps = np.finfo(float_large).eps
arr = np.array([1.0], float_small)
range = np.array([0.0, 1.0 - eps], float_large)
# test is looking for behavior when the bounds change between dtypes
if range.astype(float_small)[-1] != 1:
return
# previously crashed
count, x_loc = np.histogram(arr, bins=1, range=range)
assert_equal(count, [1])
# gh-10322 means that the type comes from arr - this may change
assert_equal(x_loc.dtype, float_small)
def do_precision(self, float_small, float_large):
self.do_precision_lower_bound(float_small, float_large)
self.do_precision_upper_bound(float_small, float_large)
def test_precision(self):
# not looping results in a useful stack trace upon failure
self.do_precision(np.half, np.single)
self.do_precision(np.half, np.double)
self.do_precision(np.half, np.longdouble)
self.do_precision(np.single, np.double)
self.do_precision(np.single, np.longdouble)
self.do_precision(np.double, np.longdouble)
def test_histogram_bin_edges(self):
hist, e = histogram([1, 2, 3, 4], [1, 2])
edges = histogram_bin_edges([1, 2, 3, 4], [1, 2])
assert_array_equal(edges, e)
arr = np.array([0., 0., 0., 1., 2., 3., 3., 4., 5.])
hist, e = histogram(arr, bins=30, range=(-0.5, 5))
edges = histogram_bin_edges(arr, bins=30, range=(-0.5, 5))
assert_array_equal(edges, e)
hist, e = histogram(arr, bins='auto', range=(0, 1))
edges = histogram_bin_edges(arr, bins='auto', range=(0, 1))
assert_array_equal(edges, e)
# @requires_memory(free_bytes=1e10)
# @pytest.mark.slow
@pytest.mark.skip(reason="Bad memory reports lead to OOM in ci testing")
def test_big_arrays(self):
sample = np.zeros([100000000, 3])
xbins = 400
ybins = 400
zbins = np.arange(16000)
hist = np.histogramdd(sample=sample, bins=(xbins, ybins, zbins))
assert_equal(type(hist), type((1, 2)))
def test_gh_23110(self):
hist, e = np.histogram(np.array([-0.9e-308], dtype='>f8'),
bins=2,
range=(-1e-308, -2e-313))
expected_hist = np.array([1, 0])
assert_array_equal(hist, expected_hist)
class TestHistogramOptimBinNums:
"""
Provide test coverage when using provided estimators for optimal number of
bins
"""
def test_empty(self):
estimator_list = ['fd', 'scott', 'rice', 'sturges',
'doane', 'sqrt', 'auto', 'stone']
# check it can deal with empty data
for estimator in estimator_list:
a, b = histogram([], bins=estimator)
assert_array_equal(a, np.array([0]))
assert_array_equal(b, np.array([0, 1]))
def test_simple(self):
"""
Straightforward testing with a mixture of linspace data (for
consistency). All test values have been precomputed and the values
shouldn't change
"""
# Some basic sanity checking, with some fixed data.
# Checking for the correct number of bins
basic_test = {50: {'fd': 4, 'scott': 4, 'rice': 8, 'sturges': 7,
'doane': 8, 'sqrt': 8, 'auto': 7, 'stone': 2},
500: {'fd': 8, 'scott': 8, 'rice': 16, 'sturges': 10,
'doane': 12, 'sqrt': 23, 'auto': 10, 'stone': 9},
5000: {'fd': 17, 'scott': 17, 'rice': 35, 'sturges': 14,
'doane': 17, 'sqrt': 71, 'auto': 17, 'stone': 20}}
for testlen, expectedResults in basic_test.items():
# Create some sort of non uniform data to test with
# (2 peak uniform mixture)
x1 = np.linspace(-10, -1, testlen // 5 * 2)
x2 = np.linspace(1, 10, testlen // 5 * 3)
x = np.concatenate((x1, x2))
for estimator, numbins in expectedResults.items():
a, b = np.histogram(x, estimator)
assert_equal(len(a), numbins, err_msg="For the {0} estimator "
"with datasize of {1}".format(estimator, testlen))
def test_small(self):
"""
Smaller datasets have the potential to cause issues with the data
adaptive methods, especially the FD method. All bin numbers have been
precalculated.
"""
small_dat = {1: {'fd': 1, 'scott': 1, 'rice': 1, 'sturges': 1,
'doane': 1, 'sqrt': 1, 'stone': 1},
2: {'fd': 2, 'scott': 1, 'rice': 3, 'sturges': 2,
'doane': 1, 'sqrt': 2, 'stone': 1},
3: {'fd': 2, 'scott': 2, 'rice': 3, 'sturges': 3,
'doane': 3, 'sqrt': 2, 'stone': 1}}
for testlen, expectedResults in small_dat.items():
testdat = np.arange(testlen)
for estimator, expbins in expectedResults.items():
a, b = np.histogram(testdat, estimator)
assert_equal(len(a), expbins, err_msg="For the {0} estimator "
"with datasize of {1}".format(estimator, testlen))
def test_incorrect_methods(self):
"""
Check a Value Error is thrown when an unknown string is passed in
"""
check_list = ['mad', 'freeman', 'histograms', 'IQR']
for estimator in check_list:
assert_raises(ValueError, histogram, [1, 2, 3], estimator)
def test_novariance(self):
"""
Check that methods handle no variance in data
Primarily for Scott and FD as the SD and IQR are both 0 in this case
"""
novar_dataset = np.ones(100)
novar_resultdict = {'fd': 1, 'scott': 1, 'rice': 1, 'sturges': 1,
'doane': 1, 'sqrt': 1, 'auto': 1, 'stone': 1}
for estimator, numbins in novar_resultdict.items():
a, b = np.histogram(novar_dataset, estimator)
assert_equal(len(a), numbins, err_msg="{0} estimator, "
"No Variance test".format(estimator))
def test_limited_variance(self):
"""
Check when IQR is 0, but variance exists, we return the sturges value
and not the fd value.
"""
lim_var_data = np.ones(1000)
lim_var_data[:3] = 0
lim_var_data[-4:] = 100
edges_auto = histogram_bin_edges(lim_var_data, 'auto')
assert_equal(edges_auto, np.linspace(0, 100, 12))
edges_fd = histogram_bin_edges(lim_var_data, 'fd')
assert_equal(edges_fd, np.array([0, 100]))
edges_sturges = histogram_bin_edges(lim_var_data, 'sturges')
assert_equal(edges_sturges, np.linspace(0, 100, 12))
def test_outlier(self):
"""
Check the FD, Scott and Doane with outliers.
The FD estimates a smaller binwidth since it's less affected by
outliers. Since the range is so (artificially) large, this means more
bins, most of which will be empty, but the data of interest usually is
unaffected. The Scott estimator is more affected and returns fewer bins,
despite most of the variance being in one area of the data. The Doane
estimator lies somewhere between the other two.
"""
xcenter = np.linspace(-10, 10, 50)
outlier_dataset = np.hstack((np.linspace(-110, -100, 5), xcenter))
outlier_resultdict = {'fd': 21, 'scott': 5, 'doane': 11, 'stone': 6}
for estimator, numbins in outlier_resultdict.items():
a, b = np.histogram(outlier_dataset, estimator)
assert_equal(len(a), numbins)
def test_scott_vs_stone(self):
"""Verify that Scott's rule and Stone's rule converges for normally distributed data"""
def nbins_ratio(seed, size):
rng = np.random.RandomState(seed)
x = rng.normal(loc=0, scale=2, size=size)
a, b = len(np.histogram(x, 'stone')[0]), len(np.histogram(x, 'scott')[0])
return a / (a + b)
ll = [[nbins_ratio(seed, size) for size in np.geomspace(start=10, stop=100, num=4).round().astype(int)]
for seed in range(10)]
# the average difference between the two methods decreases as the dataset size increases.
avg = abs(np.mean(ll, axis=0) - 0.5)
assert_almost_equal(avg, [0.15, 0.09, 0.08, 0.03], decimal=2)
def test_simple_range(self):
"""
Straightforward testing with a mixture of linspace data (for
consistency). Adding in a 3rd mixture that will then be
completely ignored. All test values have been precomputed and
the shouldn't change.
"""
# some basic sanity checking, with some fixed data.
# Checking for the correct number of bins
basic_test = {
50: {'fd': 8, 'scott': 8, 'rice': 15,
'sturges': 14, 'auto': 14, 'stone': 8},
500: {'fd': 15, 'scott': 16, 'rice': 32,
'sturges': 20, 'auto': 20, 'stone': 80},
5000: {'fd': 33, 'scott': 33, 'rice': 69,
'sturges': 27, 'auto': 33, 'stone': 80}
}
for testlen, expectedResults in basic_test.items():
# create some sort of non uniform data to test with
# (3 peak uniform mixture)
x1 = np.linspace(-10, -1, testlen // 5 * 2)
x2 = np.linspace(1, 10, testlen // 5 * 3)
x3 = np.linspace(-100, -50, testlen)
x = np.hstack((x1, x2, x3))
for estimator, numbins in expectedResults.items():
a, b = np.histogram(x, estimator, range = (-20, 20))
msg = "For the {0} estimator".format(estimator)
msg += " with datasize of {0}".format(testlen)
assert_equal(len(a), numbins, err_msg=msg)
@pytest.mark.parametrize("bins", ['auto', 'fd', 'doane', 'scott',
'stone', 'rice', 'sturges'])
def test_signed_integer_data(self, bins):
# Regression test for gh-14379.
a = np.array([-2, 0, 127], dtype=np.int8)
hist, edges = np.histogram(a, bins=bins)
hist32, edges32 = np.histogram(a.astype(np.int32), bins=bins)
assert_array_equal(hist, hist32)
assert_array_equal(edges, edges32)
def test_simple_weighted(self):
"""
Check that weighted data raises a TypeError
"""
estimator_list = ['fd', 'scott', 'rice', 'sturges', 'auto']
for estimator in estimator_list:
assert_raises(TypeError, histogram, [1, 2, 3],
estimator, weights=[1, 2, 3])
class TestHistogramdd:
def test_simple(self):
x = np.array([[-.5, .5, 1.5], [-.5, 1.5, 2.5], [-.5, 2.5, .5],
[.5, .5, 1.5], [.5, 1.5, 2.5], [.5, 2.5, 2.5]])
H, edges = histogramdd(x, (2, 3, 3),
range=[[-1, 1], [0, 3], [0, 3]])
answer = np.array([[[0, 1, 0], [0, 0, 1], [1, 0, 0]],
[[0, 1, 0], [0, 0, 1], [0, 0, 1]]])
assert_array_equal(H, answer)
# Check normalization
ed = [[-2, 0, 2], [0, 1, 2, 3], [0, 1, 2, 3]]
H, edges = histogramdd(x, bins=ed, density=True)
assert_(np.all(H == answer / 12.))
# Check that H has the correct shape.
H, edges = histogramdd(x, (2, 3, 4),
range=[[-1, 1], [0, 3], [0, 4]],
density=True)
answer = np.array([[[0, 1, 0, 0], [0, 0, 1, 0], [1, 0, 0, 0]],
[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 1, 0]]])
assert_array_almost_equal(H, answer / 6., 4)
# Check that a sequence of arrays is accepted and H has the correct
# shape.
z = [np.squeeze(y) for y in np.split(x, 3, axis=1)]
H, edges = histogramdd(
z, bins=(4, 3, 2), range=[[-2, 2], [0, 3], [0, 2]])
answer = np.array([[[0, 0], [0, 0], [0, 0]],
[[0, 1], [0, 0], [1, 0]],
[[0, 1], [0, 0], [0, 0]],
[[0, 0], [0, 0], [0, 0]]])
assert_array_equal(H, answer)
Z = np.zeros((5, 5, 5))
Z[list(range(5)), list(range(5)), list(range(5))] = 1.
H, edges = histogramdd([np.arange(5), np.arange(5), np.arange(5)], 5)
assert_array_equal(H, Z)
def test_shape_3d(self):
# All possible permutations for bins of different lengths in 3D.
bins = ((5, 4, 6), (6, 4, 5), (5, 6, 4), (4, 6, 5), (6, 5, 4),
(4, 5, 6))
r = np.random.rand(10, 3)
for b in bins:
H, edges = histogramdd(r, b)
assert_(H.shape == b)
def test_shape_4d(self):
# All possible permutations for bins of different lengths in 4D.
bins = ((7, 4, 5, 6), (4, 5, 7, 6), (5, 6, 4, 7), (7, 6, 5, 4),
(5, 7, 6, 4), (4, 6, 7, 5), (6, 5, 7, 4), (7, 5, 4, 6),
(7, 4, 6, 5), (6, 4, 7, 5), (6, 7, 5, 4), (4, 6, 5, 7),
(4, 7, 5, 6), (5, 4, 6, 7), (5, 7, 4, 6), (6, 7, 4, 5),
(6, 5, 4, 7), (4, 7, 6, 5), (4, 5, 6, 7), (7, 6, 4, 5),
(5, 4, 7, 6), (5, 6, 7, 4), (6, 4, 5, 7), (7, 5, 6, 4))
r = np.random.rand(10, 4)
for b in bins:
H, edges = histogramdd(r, b)
assert_(H.shape == b)
def test_weights(self):
v = np.random.rand(100, 2)
hist, edges = histogramdd(v)
n_hist, edges = histogramdd(v, density=True)
w_hist, edges = histogramdd(v, weights=np.ones(100))
assert_array_equal(w_hist, hist)
w_hist, edges = histogramdd(v, weights=np.ones(100) * 2, density=True)
assert_array_equal(w_hist, n_hist)
w_hist, edges = histogramdd(v, weights=np.ones(100, int) * 2)
assert_array_equal(w_hist, 2 * hist)
def test_identical_samples(self):
x = np.zeros((10, 2), int)
hist, edges = histogramdd(x, bins=2)
assert_array_equal(edges[0], np.array([-0.5, 0., 0.5]))
def test_empty(self):
a, b = histogramdd([[], []], bins=([0, 1], [0, 1]))
assert_array_max_ulp(a, np.array([[0.]]))
a, b = np.histogramdd([[], [], []], bins=2)
assert_array_max_ulp(a, np.zeros((2, 2, 2)))
def test_bins_errors(self):
# There are two ways to specify bins. Check for the right errors
# when mixing those.
x = np.arange(8).reshape(2, 4)
assert_raises(ValueError, np.histogramdd, x, bins=[-1, 2, 4, 5])
assert_raises(ValueError, np.histogramdd, x, bins=[1, 0.99, 1, 1])
assert_raises(
ValueError, np.histogramdd, x, bins=[1, 1, 1, [1, 2, 3, -3]])
assert_(np.histogramdd(x, bins=[1, 1, 1, [1, 2, 3, 4]]))
def test_inf_edges(self):
# Test using +/-inf bin edges works. See #1788.
with np.errstate(invalid='ignore'):
x = np.arange(6).reshape(3, 2)
expected = np.array([[1, 0], [0, 1], [0, 1]])
h, e = np.histogramdd(x, bins=[3, [-np.inf, 2, 10]])
assert_allclose(h, expected)
h, e = np.histogramdd(x, bins=[3, np.array([-1, 2, np.inf])])
assert_allclose(h, expected)
h, e = np.histogramdd(x, bins=[3, [-np.inf, 3, np.inf]])
assert_allclose(h, expected)
def test_rightmost_binedge(self):
# Test event very close to rightmost binedge. See Github issue #4266
x = [0.9999999995]
bins = [[0., 0.5, 1.0]]
hist, _ = histogramdd(x, bins=bins)
assert_(hist[0] == 0.0)
assert_(hist[1] == 1.)
x = [1.0]
bins = [[0., 0.5, 1.0]]
hist, _ = histogramdd(x, bins=bins)
assert_(hist[0] == 0.0)
assert_(hist[1] == 1.)
x = [1.0000000001]
bins = [[0., 0.5, 1.0]]
hist, _ = histogramdd(x, bins=bins)
assert_(hist[0] == 0.0)
assert_(hist[1] == 0.0)
x = [1.0001]
bins = [[0., 0.5, 1.0]]
hist, _ = histogramdd(x, bins=bins)
assert_(hist[0] == 0.0)
assert_(hist[1] == 0.0)
def test_finite_range(self):
vals = np.random.random((100, 3))
histogramdd(vals, range=[[0.0, 1.0], [0.25, 0.75], [0.25, 0.5]])
assert_raises(ValueError, histogramdd, vals,
range=[[0.0, 1.0], [0.25, 0.75], [0.25, np.inf]])
assert_raises(ValueError, histogramdd, vals,
range=[[0.0, 1.0], [np.nan, 0.75], [0.25, 0.5]])
def test_equal_edges(self):
""" Test that adjacent entries in an edge array can be equal """
x = np.array([0, 1, 2])
y = np.array([0, 1, 2])
x_edges = np.array([0, 2, 2])
y_edges = 1
hist, edges = histogramdd((x, y), bins=(x_edges, y_edges))
hist_expected = np.array([
[2.],
[1.], # x == 2 falls in the final bin
])
assert_equal(hist, hist_expected)
def test_edge_dtype(self):
""" Test that if an edge array is input, its type is preserved """
x = np.array([0, 10, 20])
y = x / 10
x_edges = np.array([0, 5, 15, 20])
y_edges = x_edges / 10
hist, edges = histogramdd((x, y), bins=(x_edges, y_edges))
assert_equal(edges[0].dtype, x_edges.dtype)
assert_equal(edges[1].dtype, y_edges.dtype)
def test_large_integers(self):
big = 2**60 # Too large to represent with a full precision float
x = np.array([0], np.int64)
x_edges = np.array([-1, +1], np.int64)
y = big + x
y_edges = big + x_edges
hist, edges = histogramdd((x, y), bins=(x_edges, y_edges))
assert_equal(hist[0, 0], 1)
def test_density_non_uniform_2d(self):
# Defines the following grid:
#
# 0 2 8
# 0+-+-----+
# + | +
# + | +
# 6+-+-----+
# 8+-+-----+
x_edges = np.array([0, 2, 8])
y_edges = np.array([0, 6, 8])
relative_areas = np.array([
[3, 9],
[1, 3]])
# ensure the number of points in each region is proportional to its area
x = np.array([1] + [1]*3 + [7]*3 + [7]*9)
y = np.array([7] + [1]*3 + [7]*3 + [1]*9)
# sanity check that the above worked as intended
hist, edges = histogramdd((y, x), bins=(y_edges, x_edges))
assert_equal(hist, relative_areas)
# resulting histogram should be uniform, since counts and areas are proportional
hist, edges = histogramdd((y, x), bins=(y_edges, x_edges), density=True)
assert_equal(hist, 1 / (8*8))
def test_density_non_uniform_1d(self):
# compare to histogram to show the results are the same
v = np.arange(10)
bins = np.array([0, 1, 3, 6, 10])
hist, edges = histogram(v, bins, density=True)
hist_dd, edges_dd = histogramdd((v,), (bins,), density=True)
assert_equal(hist, hist_dd)
assert_equal(edges, edges_dd[0])
@@ -0,0 +1,551 @@
import pytest
import numpy as np
from numpy.testing import (
assert_, assert_equal, assert_array_equal, assert_almost_equal,
assert_array_almost_equal, assert_raises, assert_raises_regex,
)
from numpy.lib.index_tricks import (
mgrid, ogrid, ndenumerate, fill_diagonal, diag_indices, diag_indices_from,
index_exp, ndindex, r_, s_, ix_
)
class TestRavelUnravelIndex:
def test_basic(self):
assert_equal(np.unravel_index(2, (2, 2)), (1, 0))
# test that new shape argument works properly
assert_equal(np.unravel_index(indices=2,
shape=(2, 2)),
(1, 0))
# test that an invalid second keyword argument
# is properly handled, including the old name `dims`.
with assert_raises(TypeError):
np.unravel_index(indices=2, hape=(2, 2))
with assert_raises(TypeError):
np.unravel_index(2, hape=(2, 2))
with assert_raises(TypeError):
np.unravel_index(254, ims=(17, 94))
with assert_raises(TypeError):
np.unravel_index(254, dims=(17, 94))
assert_equal(np.ravel_multi_index((1, 0), (2, 2)), 2)
assert_equal(np.unravel_index(254, (17, 94)), (2, 66))
assert_equal(np.ravel_multi_index((2, 66), (17, 94)), 254)
assert_raises(ValueError, np.unravel_index, -1, (2, 2))
assert_raises(TypeError, np.unravel_index, 0.5, (2, 2))
assert_raises(ValueError, np.unravel_index, 4, (2, 2))
assert_raises(ValueError, np.ravel_multi_index, (-3, 1), (2, 2))
assert_raises(ValueError, np.ravel_multi_index, (2, 1), (2, 2))
assert_raises(ValueError, np.ravel_multi_index, (0, -3), (2, 2))
assert_raises(ValueError, np.ravel_multi_index, (0, 2), (2, 2))
assert_raises(TypeError, np.ravel_multi_index, (0.1, 0.), (2, 2))
assert_equal(np.unravel_index((2*3 + 1)*6 + 4, (4, 3, 6)), [2, 1, 4])
assert_equal(
np.ravel_multi_index([2, 1, 4], (4, 3, 6)), (2*3 + 1)*6 + 4)
arr = np.array([[3, 6, 6], [4, 5, 1]])
assert_equal(np.ravel_multi_index(arr, (7, 6)), [22, 41, 37])
assert_equal(
np.ravel_multi_index(arr, (7, 6), order='F'), [31, 41, 13])
assert_equal(
np.ravel_multi_index(arr, (4, 6), mode='clip'), [22, 23, 19])
assert_equal(np.ravel_multi_index(arr, (4, 4), mode=('clip', 'wrap')),
[12, 13, 13])
assert_equal(np.ravel_multi_index((3, 1, 4, 1), (6, 7, 8, 9)), 1621)
assert_equal(np.unravel_index(np.array([22, 41, 37]), (7, 6)),
[[3, 6, 6], [4, 5, 1]])
assert_equal(
np.unravel_index(np.array([31, 41, 13]), (7, 6), order='F'),
[[3, 6, 6], [4, 5, 1]])
assert_equal(np.unravel_index(1621, (6, 7, 8, 9)), [3, 1, 4, 1])
def test_empty_indices(self):
msg1 = 'indices must be integral: the provided empty sequence was'
msg2 = 'only int indices permitted'
assert_raises_regex(TypeError, msg1, np.unravel_index, [], (10, 3, 5))
assert_raises_regex(TypeError, msg1, np.unravel_index, (), (10, 3, 5))
assert_raises_regex(TypeError, msg2, np.unravel_index, np.array([]),
(10, 3, 5))
assert_equal(np.unravel_index(np.array([],dtype=int), (10, 3, 5)),
[[], [], []])
assert_raises_regex(TypeError, msg1, np.ravel_multi_index, ([], []),
(10, 3))
assert_raises_regex(TypeError, msg1, np.ravel_multi_index, ([], ['abc']),
(10, 3))
assert_raises_regex(TypeError, msg2, np.ravel_multi_index,
(np.array([]), np.array([])), (5, 3))
assert_equal(np.ravel_multi_index(
(np.array([], dtype=int), np.array([], dtype=int)), (5, 3)), [])
assert_equal(np.ravel_multi_index(np.array([[], []], dtype=int),
(5, 3)), [])
def test_big_indices(self):
# ravel_multi_index for big indices (issue #7546)
if np.intp == np.int64:
arr = ([1, 29], [3, 5], [3, 117], [19, 2],
[2379, 1284], [2, 2], [0, 1])
assert_equal(
np.ravel_multi_index(arr, (41, 7, 120, 36, 2706, 8, 6)),
[5627771580, 117259570957])
# test unravel_index for big indices (issue #9538)
assert_raises(ValueError, np.unravel_index, 1, (2**32-1, 2**31+1))
# test overflow checking for too big array (issue #7546)
dummy_arr = ([0],[0])
half_max = np.iinfo(np.intp).max // 2
assert_equal(
np.ravel_multi_index(dummy_arr, (half_max, 2)), [0])
assert_raises(ValueError,
np.ravel_multi_index, dummy_arr, (half_max+1, 2))
assert_equal(
np.ravel_multi_index(dummy_arr, (half_max, 2), order='F'), [0])
assert_raises(ValueError,
np.ravel_multi_index, dummy_arr, (half_max+1, 2), order='F')
def test_dtypes(self):
# Test with different data types
for dtype in [np.int16, np.uint16, np.int32,
np.uint32, np.int64, np.uint64]:
coords = np.array(
[[1, 0, 1, 2, 3, 4], [1, 6, 1, 3, 2, 0]], dtype=dtype)
shape = (5, 8)
uncoords = 8*coords[0]+coords[1]
assert_equal(np.ravel_multi_index(coords, shape), uncoords)
assert_equal(coords, np.unravel_index(uncoords, shape))
uncoords = coords[0]+5*coords[1]
assert_equal(
np.ravel_multi_index(coords, shape, order='F'), uncoords)
assert_equal(coords, np.unravel_index(uncoords, shape, order='F'))
coords = np.array(
[[1, 0, 1, 2, 3, 4], [1, 6, 1, 3, 2, 0], [1, 3, 1, 0, 9, 5]],
dtype=dtype)
shape = (5, 8, 10)
uncoords = 10*(8*coords[0]+coords[1])+coords[2]
assert_equal(np.ravel_multi_index(coords, shape), uncoords)
assert_equal(coords, np.unravel_index(uncoords, shape))
uncoords = coords[0]+5*(coords[1]+8*coords[2])
assert_equal(
np.ravel_multi_index(coords, shape, order='F'), uncoords)
assert_equal(coords, np.unravel_index(uncoords, shape, order='F'))
def test_clipmodes(self):
# Test clipmodes
assert_equal(
np.ravel_multi_index([5, 1, -1, 2], (4, 3, 7, 12), mode='wrap'),
np.ravel_multi_index([1, 1, 6, 2], (4, 3, 7, 12)))
assert_equal(np.ravel_multi_index([5, 1, -1, 2], (4, 3, 7, 12),
mode=(
'wrap', 'raise', 'clip', 'raise')),
np.ravel_multi_index([1, 1, 0, 2], (4, 3, 7, 12)))
assert_raises(
ValueError, np.ravel_multi_index, [5, 1, -1, 2], (4, 3, 7, 12))
def test_writeability(self):
# See gh-7269
x, y = np.unravel_index([1, 2, 3], (4, 5))
assert_(x.flags.writeable)
assert_(y.flags.writeable)
def test_0d(self):
# gh-580
x = np.unravel_index(0, ())
assert_equal(x, ())
assert_raises_regex(ValueError, "0d array", np.unravel_index, [0], ())
assert_raises_regex(
ValueError, "out of bounds", np.unravel_index, [1], ())
@pytest.mark.parametrize("mode", ["clip", "wrap", "raise"])
def test_empty_array_ravel(self, mode):
res = np.ravel_multi_index(
np.zeros((3, 0), dtype=np.intp), (2, 1, 0), mode=mode)
assert(res.shape == (0,))
with assert_raises(ValueError):
np.ravel_multi_index(
np.zeros((3, 1), dtype=np.intp), (2, 1, 0), mode=mode)
def test_empty_array_unravel(self):
res = np.unravel_index(np.zeros(0, dtype=np.intp), (2, 1, 0))
# res is a tuple of three empty arrays
assert(len(res) == 3)
assert(all(a.shape == (0,) for a in res))
with assert_raises(ValueError):
np.unravel_index([1], (2, 1, 0))
class TestGrid:
def test_basic(self):
a = mgrid[-1:1:10j]
b = mgrid[-1:1:0.1]
assert_(a.shape == (10,))
assert_(b.shape == (20,))
assert_(a[0] == -1)
assert_almost_equal(a[-1], 1)
assert_(b[0] == -1)
assert_almost_equal(b[1]-b[0], 0.1, 11)
assert_almost_equal(b[-1], b[0]+19*0.1, 11)
assert_almost_equal(a[1]-a[0], 2.0/9.0, 11)
def test_linspace_equivalence(self):
y, st = np.linspace(2, 10, retstep=True)
assert_almost_equal(st, 8/49.0)
assert_array_almost_equal(y, mgrid[2:10:50j], 13)
def test_nd(self):
c = mgrid[-1:1:10j, -2:2:10j]
d = mgrid[-1:1:0.1, -2:2:0.2]
assert_(c.shape == (2, 10, 10))
assert_(d.shape == (2, 20, 20))
assert_array_equal(c[0][0, :], -np.ones(10, 'd'))
assert_array_equal(c[1][:, 0], -2*np.ones(10, 'd'))
assert_array_almost_equal(c[0][-1, :], np.ones(10, 'd'), 11)
assert_array_almost_equal(c[1][:, -1], 2*np.ones(10, 'd'), 11)
assert_array_almost_equal(d[0, 1, :] - d[0, 0, :],
0.1*np.ones(20, 'd'), 11)
assert_array_almost_equal(d[1, :, 1] - d[1, :, 0],
0.2*np.ones(20, 'd'), 11)
def test_sparse(self):
grid_full = mgrid[-1:1:10j, -2:2:10j]
grid_sparse = ogrid[-1:1:10j, -2:2:10j]
# sparse grids can be made dense by broadcasting
grid_broadcast = np.broadcast_arrays(*grid_sparse)
for f, b in zip(grid_full, grid_broadcast):
assert_equal(f, b)
@pytest.mark.parametrize("start, stop, step, expected", [
(None, 10, 10j, (200, 10)),
(-10, 20, None, (1800, 30)),
])
def test_mgrid_size_none_handling(self, start, stop, step, expected):
# regression test None value handling for
# start and step values used by mgrid;
# internally, this aims to cover previously
# unexplored code paths in nd_grid()
grid = mgrid[start:stop:step, start:stop:step]
# need a smaller grid to explore one of the
# untested code paths
grid_small = mgrid[start:stop:step]
assert_equal(grid.size, expected[0])
assert_equal(grid_small.size, expected[1])
def test_accepts_npfloating(self):
# regression test for #16466
grid64 = mgrid[0.1:0.33:0.1, ]
grid32 = mgrid[np.float32(0.1):np.float32(0.33):np.float32(0.1), ]
assert_(grid32.dtype == np.float64)
assert_array_almost_equal(grid64, grid32)
# different code path for single slice
grid64 = mgrid[0.1:0.33:0.1]
grid32 = mgrid[np.float32(0.1):np.float32(0.33):np.float32(0.1)]
assert_(grid32.dtype == np.float64)
assert_array_almost_equal(grid64, grid32)
def test_accepts_longdouble(self):
# regression tests for #16945
grid64 = mgrid[0.1:0.33:0.1, ]
grid128 = mgrid[
np.longdouble(0.1):np.longdouble(0.33):np.longdouble(0.1),
]
assert_(grid128.dtype == np.longdouble)
assert_array_almost_equal(grid64, grid128)
grid128c_a = mgrid[0:np.longdouble(1):3.4j]
grid128c_b = mgrid[0:np.longdouble(1):3.4j, ]
assert_(grid128c_a.dtype == grid128c_b.dtype == np.longdouble)
assert_array_equal(grid128c_a, grid128c_b[0])
# different code path for single slice
grid64 = mgrid[0.1:0.33:0.1]
grid128 = mgrid[
np.longdouble(0.1):np.longdouble(0.33):np.longdouble(0.1)
]
assert_(grid128.dtype == np.longdouble)
assert_array_almost_equal(grid64, grid128)
def test_accepts_npcomplexfloating(self):
# Related to #16466
assert_array_almost_equal(
mgrid[0.1:0.3:3j, ], mgrid[0.1:0.3:np.complex64(3j), ]
)
# different code path for single slice
assert_array_almost_equal(
mgrid[0.1:0.3:3j], mgrid[0.1:0.3:np.complex64(3j)]
)
# Related to #16945
grid64_a = mgrid[0.1:0.3:3.3j]
grid64_b = mgrid[0.1:0.3:3.3j, ][0]
assert_(grid64_a.dtype == grid64_b.dtype == np.float64)
assert_array_equal(grid64_a, grid64_b)
grid128_a = mgrid[0.1:0.3:np.clongdouble(3.3j)]
grid128_b = mgrid[0.1:0.3:np.clongdouble(3.3j), ][0]
assert_(grid128_a.dtype == grid128_b.dtype == np.longdouble)
assert_array_equal(grid64_a, grid64_b)
class TestConcatenator:
def test_1d(self):
assert_array_equal(r_[1, 2, 3, 4, 5, 6], np.array([1, 2, 3, 4, 5, 6]))
b = np.ones(5)
c = r_[b, 0, 0, b]
assert_array_equal(c, [1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1])
def test_mixed_type(self):
g = r_[10.1, 1:10]
assert_(g.dtype == 'f8')
def test_more_mixed_type(self):
g = r_[-10.1, np.array([1]), np.array([2, 3, 4]), 10.0]
assert_(g.dtype == 'f8')
def test_complex_step(self):
# Regression test for #12262
g = r_[0:36:100j]
assert_(g.shape == (100,))
# Related to #16466
g = r_[0:36:np.complex64(100j)]
assert_(g.shape == (100,))
def test_2d(self):
b = np.random.rand(5, 5)
c = np.random.rand(5, 5)
d = r_['1', b, c] # append columns
assert_(d.shape == (5, 10))
assert_array_equal(d[:, :5], b)
assert_array_equal(d[:, 5:], c)
d = r_[b, c]
assert_(d.shape == (10, 5))
assert_array_equal(d[:5, :], b)
assert_array_equal(d[5:, :], c)
def test_0d(self):
assert_equal(r_[0, np.array(1), 2], [0, 1, 2])
assert_equal(r_[[0, 1, 2], np.array(3)], [0, 1, 2, 3])
assert_equal(r_[np.array(0), [1, 2, 3]], [0, 1, 2, 3])
class TestNdenumerate:
def test_basic(self):
a = np.array([[1, 2], [3, 4]])
assert_equal(list(ndenumerate(a)),
[((0, 0), 1), ((0, 1), 2), ((1, 0), 3), ((1, 1), 4)])
class TestIndexExpression:
def test_regression_1(self):
# ticket #1196
a = np.arange(2)
assert_equal(a[:-1], a[s_[:-1]])
assert_equal(a[:-1], a[index_exp[:-1]])
def test_simple_1(self):
a = np.random.rand(4, 5, 6)
assert_equal(a[:, :3, [1, 2]], a[index_exp[:, :3, [1, 2]]])
assert_equal(a[:, :3, [1, 2]], a[s_[:, :3, [1, 2]]])
class TestIx_:
def test_regression_1(self):
# Test empty untyped inputs create outputs of indexing type, gh-5804
a, = np.ix_(range(0))
assert_equal(a.dtype, np.intp)
a, = np.ix_([])
assert_equal(a.dtype, np.intp)
# but if the type is specified, don't change it
a, = np.ix_(np.array([], dtype=np.float32))
assert_equal(a.dtype, np.float32)
def test_shape_and_dtype(self):
sizes = (4, 5, 3, 2)
# Test both lists and arrays
for func in (range, np.arange):
arrays = np.ix_(*[func(sz) for sz in sizes])
for k, (a, sz) in enumerate(zip(arrays, sizes)):
assert_equal(a.shape[k], sz)
assert_(all(sh == 1 for j, sh in enumerate(a.shape) if j != k))
assert_(np.issubdtype(a.dtype, np.integer))
def test_bool(self):
bool_a = [True, False, True, True]
int_a, = np.nonzero(bool_a)
assert_equal(np.ix_(bool_a)[0], int_a)
def test_1d_only(self):
idx2d = [[1, 2, 3], [4, 5, 6]]
assert_raises(ValueError, np.ix_, idx2d)
def test_repeated_input(self):
length_of_vector = 5
x = np.arange(length_of_vector)
out = ix_(x, x)
assert_equal(out[0].shape, (length_of_vector, 1))
assert_equal(out[1].shape, (1, length_of_vector))
# check that input shape is not modified
assert_equal(x.shape, (length_of_vector,))
def test_c_():
a = np.c_[np.array([[1, 2, 3]]), 0, 0, np.array([[4, 5, 6]])]
assert_equal(a, [[1, 2, 3, 0, 0, 4, 5, 6]])
class TestFillDiagonal:
def test_basic(self):
a = np.zeros((3, 3), int)
fill_diagonal(a, 5)
assert_array_equal(
a, np.array([[5, 0, 0],
[0, 5, 0],
[0, 0, 5]])
)
def test_tall_matrix(self):
a = np.zeros((10, 3), int)
fill_diagonal(a, 5)
assert_array_equal(
a, np.array([[5, 0, 0],
[0, 5, 0],
[0, 0, 5],
[0, 0, 0],
[0, 0, 0],
[0, 0, 0],
[0, 0, 0],
[0, 0, 0],
[0, 0, 0],
[0, 0, 0]])
)
def test_tall_matrix_wrap(self):
a = np.zeros((10, 3), int)
fill_diagonal(a, 5, True)
assert_array_equal(
a, np.array([[5, 0, 0],
[0, 5, 0],
[0, 0, 5],
[0, 0, 0],
[5, 0, 0],
[0, 5, 0],
[0, 0, 5],
[0, 0, 0],
[5, 0, 0],
[0, 5, 0]])
)
def test_wide_matrix(self):
a = np.zeros((3, 10), int)
fill_diagonal(a, 5)
assert_array_equal(
a, np.array([[5, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 5, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 5, 0, 0, 0, 0, 0, 0, 0]])
)
def test_operate_4d_array(self):
a = np.zeros((3, 3, 3, 3), int)
fill_diagonal(a, 4)
i = np.array([0, 1, 2])
assert_equal(np.where(a != 0), (i, i, i, i))
def test_low_dim_handling(self):
# raise error with low dimensionality
a = np.zeros(3, int)
with assert_raises_regex(ValueError, "at least 2-d"):
fill_diagonal(a, 5)
def test_hetero_shape_handling(self):
# raise error with high dimensionality and
# shape mismatch
a = np.zeros((3,3,7,3), int)
with assert_raises_regex(ValueError, "equal length"):
fill_diagonal(a, 2)
def test_diag_indices():
di = diag_indices(4)
a = np.array([[1, 2, 3, 4],
[5, 6, 7, 8],
[9, 10, 11, 12],
[13, 14, 15, 16]])
a[di] = 100
assert_array_equal(
a, np.array([[100, 2, 3, 4],
[5, 100, 7, 8],
[9, 10, 100, 12],
[13, 14, 15, 100]])
)
# Now, we create indices to manipulate a 3-d array:
d3 = diag_indices(2, 3)
# And use it to set the diagonal of a zeros array to 1:
a = np.zeros((2, 2, 2), int)
a[d3] = 1
assert_array_equal(
a, np.array([[[1, 0],
[0, 0]],
[[0, 0],
[0, 1]]])
)
class TestDiagIndicesFrom:
def test_diag_indices_from(self):
x = np.random.random((4, 4))
r, c = diag_indices_from(x)
assert_array_equal(r, np.arange(4))
assert_array_equal(c, np.arange(4))
def test_error_small_input(self):
x = np.ones(7)
with assert_raises_regex(ValueError, "at least 2-d"):
diag_indices_from(x)
def test_error_shape_mismatch(self):
x = np.zeros((3, 3, 2, 3), int)
with assert_raises_regex(ValueError, "equal length"):
diag_indices_from(x)
def test_ndindex():
x = list(ndindex(1, 2, 3))
expected = [ix for ix, e in ndenumerate(np.zeros((1, 2, 3)))]
assert_array_equal(x, expected)
x = list(ndindex((1, 2, 3)))
assert_array_equal(x, expected)
# Test use of scalars and tuples
x = list(ndindex((3,)))
assert_array_equal(x, list(ndindex(3)))
# Make sure size argument is optional
x = list(ndindex())
assert_equal(x, [()])
x = list(ndindex(()))
assert_equal(x, [()])
# Make sure 0-sized ndindex works correctly
x = list(ndindex(*[0]))
assert_equal(x, [])
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import numbers
import operator
import numpy as np
from numpy.testing import assert_, assert_equal, assert_raises
# NOTE: This class should be kept as an exact copy of the example from the
# docstring for NDArrayOperatorsMixin.
class ArrayLike(np.lib.mixins.NDArrayOperatorsMixin):
def __init__(self, value):
self.value = np.asarray(value)
# One might also consider adding the built-in list type to this
# list, to support operations like np.add(array_like, list)
_HANDLED_TYPES = (np.ndarray, numbers.Number)
def __array_ufunc__(self, ufunc, method, *inputs, **kwargs):
out = kwargs.get('out', ())
for x in inputs + out:
# Only support operations with instances of _HANDLED_TYPES.
# Use ArrayLike instead of type(self) for isinstance to
# allow subclasses that don't override __array_ufunc__ to
# handle ArrayLike objects.
if not isinstance(x, self._HANDLED_TYPES + (ArrayLike,)):
return NotImplemented
# Defer to the implementation of the ufunc on unwrapped values.
inputs = tuple(x.value if isinstance(x, ArrayLike) else x
for x in inputs)
if out:
kwargs['out'] = tuple(
x.value if isinstance(x, ArrayLike) else x
for x in out)
result = getattr(ufunc, method)(*inputs, **kwargs)
if type(result) is tuple:
# multiple return values
return tuple(type(self)(x) for x in result)
elif method == 'at':
# no return value
return None
else:
# one return value
return type(self)(result)
def __repr__(self):
return '%s(%r)' % (type(self).__name__, self.value)
def wrap_array_like(result):
if type(result) is tuple:
return tuple(ArrayLike(r) for r in result)
else:
return ArrayLike(result)
def _assert_equal_type_and_value(result, expected, err_msg=None):
assert_equal(type(result), type(expected), err_msg=err_msg)
if isinstance(result, tuple):
assert_equal(len(result), len(expected), err_msg=err_msg)
for result_item, expected_item in zip(result, expected):
_assert_equal_type_and_value(result_item, expected_item, err_msg)
else:
assert_equal(result.value, expected.value, err_msg=err_msg)
assert_equal(getattr(result.value, 'dtype', None),
getattr(expected.value, 'dtype', None), err_msg=err_msg)
_ALL_BINARY_OPERATORS = [
operator.lt,
operator.le,
operator.eq,
operator.ne,
operator.gt,
operator.ge,
operator.add,
operator.sub,
operator.mul,
operator.truediv,
operator.floordiv,
operator.mod,
divmod,
pow,
operator.lshift,
operator.rshift,
operator.and_,
operator.xor,
operator.or_,
]
class TestNDArrayOperatorsMixin:
def test_array_like_add(self):
def check(result):
_assert_equal_type_and_value(result, ArrayLike(0))
check(ArrayLike(0) + 0)
check(0 + ArrayLike(0))
check(ArrayLike(0) + np.array(0))
check(np.array(0) + ArrayLike(0))
check(ArrayLike(np.array(0)) + 0)
check(0 + ArrayLike(np.array(0)))
check(ArrayLike(np.array(0)) + np.array(0))
check(np.array(0) + ArrayLike(np.array(0)))
def test_inplace(self):
array_like = ArrayLike(np.array([0]))
array_like += 1
_assert_equal_type_and_value(array_like, ArrayLike(np.array([1])))
array = np.array([0])
array += ArrayLike(1)
_assert_equal_type_and_value(array, ArrayLike(np.array([1])))
def test_opt_out(self):
class OptOut:
"""Object that opts out of __array_ufunc__."""
__array_ufunc__ = None
def __add__(self, other):
return self
def __radd__(self, other):
return self
array_like = ArrayLike(1)
opt_out = OptOut()
# supported operations
assert_(array_like + opt_out is opt_out)
assert_(opt_out + array_like is opt_out)
# not supported
with assert_raises(TypeError):
# don't use the Python default, array_like = array_like + opt_out
array_like += opt_out
with assert_raises(TypeError):
array_like - opt_out
with assert_raises(TypeError):
opt_out - array_like
def test_subclass(self):
class SubArrayLike(ArrayLike):
"""Should take precedence over ArrayLike."""
x = ArrayLike(0)
y = SubArrayLike(1)
_assert_equal_type_and_value(x + y, y)
_assert_equal_type_and_value(y + x, y)
def test_object(self):
x = ArrayLike(0)
obj = object()
with assert_raises(TypeError):
x + obj
with assert_raises(TypeError):
obj + x
with assert_raises(TypeError):
x += obj
def test_unary_methods(self):
array = np.array([-1, 0, 1, 2])
array_like = ArrayLike(array)
for op in [operator.neg,
operator.pos,
abs,
operator.invert]:
_assert_equal_type_and_value(op(array_like), ArrayLike(op(array)))
def test_forward_binary_methods(self):
array = np.array([-1, 0, 1, 2])
array_like = ArrayLike(array)
for op in _ALL_BINARY_OPERATORS:
expected = wrap_array_like(op(array, 1))
actual = op(array_like, 1)
err_msg = 'failed for operator {}'.format(op)
_assert_equal_type_and_value(expected, actual, err_msg=err_msg)
def test_reflected_binary_methods(self):
for op in _ALL_BINARY_OPERATORS:
expected = wrap_array_like(op(2, 1))
actual = op(2, ArrayLike(1))
err_msg = 'failed for operator {}'.format(op)
_assert_equal_type_and_value(expected, actual, err_msg=err_msg)
def test_matmul(self):
array = np.array([1, 2], dtype=np.float64)
array_like = ArrayLike(array)
expected = ArrayLike(np.float64(5))
_assert_equal_type_and_value(expected, np.matmul(array_like, array))
_assert_equal_type_and_value(
expected, operator.matmul(array_like, array))
_assert_equal_type_and_value(
expected, operator.matmul(array, array_like))
def test_ufunc_at(self):
array = ArrayLike(np.array([1, 2, 3, 4]))
assert_(np.negative.at(array, np.array([0, 1])) is None)
_assert_equal_type_and_value(array, ArrayLike([-1, -2, 3, 4]))
def test_ufunc_two_outputs(self):
mantissa, exponent = np.frexp(2 ** -3)
expected = (ArrayLike(mantissa), ArrayLike(exponent))
_assert_equal_type_and_value(
np.frexp(ArrayLike(2 ** -3)), expected)
_assert_equal_type_and_value(
np.frexp(ArrayLike(np.array(2 ** -3))), expected)
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import numpy as np
from numpy.testing import assert_array_equal, assert_equal, assert_raises
import pytest
from itertools import chain
def test_packbits():
# Copied from the docstring.
a = [[[1, 0, 1], [0, 1, 0]],
[[1, 1, 0], [0, 0, 1]]]
for dt in '?bBhHiIlLqQ':
arr = np.array(a, dtype=dt)
b = np.packbits(arr, axis=-1)
assert_equal(b.dtype, np.uint8)
assert_array_equal(b, np.array([[[160], [64]], [[192], [32]]]))
assert_raises(TypeError, np.packbits, np.array(a, dtype=float))
def test_packbits_empty():
shapes = [
(0,), (10, 20, 0), (10, 0, 20), (0, 10, 20), (20, 0, 0), (0, 20, 0),
(0, 0, 20), (0, 0, 0),
]
for dt in '?bBhHiIlLqQ':
for shape in shapes:
a = np.empty(shape, dtype=dt)
b = np.packbits(a)
assert_equal(b.dtype, np.uint8)
assert_equal(b.shape, (0,))
def test_packbits_empty_with_axis():
# Original shapes and lists of packed shapes for different axes.
shapes = [
((0,), [(0,)]),
((10, 20, 0), [(2, 20, 0), (10, 3, 0), (10, 20, 0)]),
((10, 0, 20), [(2, 0, 20), (10, 0, 20), (10, 0, 3)]),
((0, 10, 20), [(0, 10, 20), (0, 2, 20), (0, 10, 3)]),
((20, 0, 0), [(3, 0, 0), (20, 0, 0), (20, 0, 0)]),
((0, 20, 0), [(0, 20, 0), (0, 3, 0), (0, 20, 0)]),
((0, 0, 20), [(0, 0, 20), (0, 0, 20), (0, 0, 3)]),
((0, 0, 0), [(0, 0, 0), (0, 0, 0), (0, 0, 0)]),
]
for dt in '?bBhHiIlLqQ':
for in_shape, out_shapes in shapes:
for ax, out_shape in enumerate(out_shapes):
a = np.empty(in_shape, dtype=dt)
b = np.packbits(a, axis=ax)
assert_equal(b.dtype, np.uint8)
assert_equal(b.shape, out_shape)
@pytest.mark.parametrize('bitorder', ('little', 'big'))
def test_packbits_large(bitorder):
# test data large enough for 16 byte vectorization
a = np.array([1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0,
0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1,
1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0,
1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1,
1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1,
1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1,
1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1,
0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1,
1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0,
1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1,
1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0,
0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1,
1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0,
1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0,
1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0])
a = a.repeat(3)
for dtype in '?bBhHiIlLqQ':
arr = np.array(a, dtype=dtype)
b = np.packbits(arr, axis=None, bitorder=bitorder)
assert_equal(b.dtype, np.uint8)
r = [252, 127, 192, 3, 254, 7, 252, 0, 7, 31, 240, 0, 28, 1, 255, 252,
113, 248, 3, 255, 192, 28, 15, 192, 28, 126, 0, 224, 127, 255,
227, 142, 7, 31, 142, 63, 28, 126, 56, 227, 240, 0, 227, 128, 63,
224, 14, 56, 252, 112, 56, 255, 241, 248, 3, 240, 56, 224, 112,
63, 255, 255, 199, 224, 14, 0, 31, 143, 192, 3, 255, 199, 0, 1,
255, 224, 1, 255, 252, 126, 63, 0, 1, 192, 252, 14, 63, 0, 15,
199, 252, 113, 255, 3, 128, 56, 252, 14, 7, 0, 113, 255, 255, 142, 56, 227,
129, 248, 227, 129, 199, 31, 128]
if bitorder == 'big':
assert_array_equal(b, r)
# equal for size being multiple of 8
assert_array_equal(np.unpackbits(b, bitorder=bitorder)[:-4], a)
# check last byte of different remainders (16 byte vectorization)
b = [np.packbits(arr[:-i], axis=None)[-1] for i in range(1, 16)]
assert_array_equal(b, [128, 128, 128, 31, 30, 28, 24, 16, 0, 0, 0, 199,
198, 196, 192])
arr = arr.reshape(36, 25)
b = np.packbits(arr, axis=0)
assert_equal(b.dtype, np.uint8)
assert_array_equal(b, [[190, 186, 178, 178, 150, 215, 87, 83, 83, 195,
199, 206, 204, 204, 140, 140, 136, 136, 8, 40, 105,
107, 75, 74, 88],
[72, 216, 248, 241, 227, 195, 202, 90, 90, 83,
83, 119, 127, 109, 73, 64, 208, 244, 189, 45,
41, 104, 122, 90, 18],
[113, 120, 248, 216, 152, 24, 60, 52, 182, 150,
150, 150, 146, 210, 210, 246, 255, 255, 223,
151, 21, 17, 17, 131, 163],
[214, 210, 210, 64, 68, 5, 5, 1, 72, 88, 92,
92, 78, 110, 39, 181, 149, 220, 222, 218, 218,
202, 234, 170, 168],
[0, 128, 128, 192, 80, 112, 48, 160, 160, 224,
240, 208, 144, 128, 160, 224, 240, 208, 144,
144, 176, 240, 224, 192, 128]])
b = np.packbits(arr, axis=1)
assert_equal(b.dtype, np.uint8)
assert_array_equal(b, [[252, 127, 192, 0],
[ 7, 252, 15, 128],
[240, 0, 28, 0],
[255, 128, 0, 128],
[192, 31, 255, 128],
[142, 63, 0, 0],
[255, 240, 7, 0],
[ 7, 224, 14, 0],
[126, 0, 224, 0],
[255, 255, 199, 0],
[ 56, 28, 126, 0],
[113, 248, 227, 128],
[227, 142, 63, 0],
[ 0, 28, 112, 0],
[ 15, 248, 3, 128],
[ 28, 126, 56, 0],
[ 56, 255, 241, 128],
[240, 7, 224, 0],
[227, 129, 192, 128],
[255, 255, 254, 0],
[126, 0, 224, 0],
[ 3, 241, 248, 0],
[ 0, 255, 241, 128],
[128, 0, 255, 128],
[224, 1, 255, 128],
[248, 252, 126, 0],
[ 0, 7, 3, 128],
[224, 113, 248, 0],
[ 0, 252, 127, 128],
[142, 63, 224, 0],
[224, 14, 63, 0],
[ 7, 3, 128, 0],
[113, 255, 255, 128],
[ 28, 113, 199, 0],
[ 7, 227, 142, 0],
[ 14, 56, 252, 0]])
arr = arr.T.copy()
b = np.packbits(arr, axis=0)
assert_equal(b.dtype, np.uint8)
assert_array_equal(b, [[252, 7, 240, 255, 192, 142, 255, 7, 126, 255,
56, 113, 227, 0, 15, 28, 56, 240, 227, 255,
126, 3, 0, 128, 224, 248, 0, 224, 0, 142, 224,
7, 113, 28, 7, 14],
[127, 252, 0, 128, 31, 63, 240, 224, 0, 255,
28, 248, 142, 28, 248, 126, 255, 7, 129, 255,
0, 241, 255, 0, 1, 252, 7, 113, 252, 63, 14,
3, 255, 113, 227, 56],
[192, 15, 28, 0, 255, 0, 7, 14, 224, 199, 126,
227, 63, 112, 3, 56, 241, 224, 192, 254, 224,
248, 241, 255, 255, 126, 3, 248, 127, 224, 63,
128, 255, 199, 142, 252],
[0, 128, 0, 128, 128, 0, 0, 0, 0, 0, 0, 128, 0,
0, 128, 0, 128, 0, 128, 0, 0, 0, 128, 128,
128, 0, 128, 0, 128, 0, 0, 0, 128, 0, 0, 0]])
b = np.packbits(arr, axis=1)
assert_equal(b.dtype, np.uint8)
assert_array_equal(b, [[190, 72, 113, 214, 0],
[186, 216, 120, 210, 128],
[178, 248, 248, 210, 128],
[178, 241, 216, 64, 192],
[150, 227, 152, 68, 80],
[215, 195, 24, 5, 112],
[ 87, 202, 60, 5, 48],
[ 83, 90, 52, 1, 160],
[ 83, 90, 182, 72, 160],
[195, 83, 150, 88, 224],
[199, 83, 150, 92, 240],
[206, 119, 150, 92, 208],
[204, 127, 146, 78, 144],
[204, 109, 210, 110, 128],
[140, 73, 210, 39, 160],
[140, 64, 246, 181, 224],
[136, 208, 255, 149, 240],
[136, 244, 255, 220, 208],
[ 8, 189, 223, 222, 144],
[ 40, 45, 151, 218, 144],
[105, 41, 21, 218, 176],
[107, 104, 17, 202, 240],
[ 75, 122, 17, 234, 224],
[ 74, 90, 131, 170, 192],
[ 88, 18, 163, 168, 128]])
# result is the same if input is multiplied with a nonzero value
for dtype in 'bBhHiIlLqQ':
arr = np.array(a, dtype=dtype)
rnd = np.random.randint(low=np.iinfo(dtype).min,
high=np.iinfo(dtype).max, size=arr.size,
dtype=dtype)
rnd[rnd == 0] = 1
arr *= rnd.astype(dtype)
b = np.packbits(arr, axis=-1)
assert_array_equal(np.unpackbits(b)[:-4], a)
assert_raises(TypeError, np.packbits, np.array(a, dtype=float))
def test_packbits_very_large():
# test some with a larger arrays gh-8637
# code is covered earlier but larger array makes crash on bug more likely
for s in range(950, 1050):
for dt in '?bBhHiIlLqQ':
x = np.ones((200, s), dtype=bool)
np.packbits(x, axis=1)
def test_unpackbits():
# Copied from the docstring.
a = np.array([[2], [7], [23]], dtype=np.uint8)
b = np.unpackbits(a, axis=1)
assert_equal(b.dtype, np.uint8)
assert_array_equal(b, np.array([[0, 0, 0, 0, 0, 0, 1, 0],
[0, 0, 0, 0, 0, 1, 1, 1],
[0, 0, 0, 1, 0, 1, 1, 1]]))
def test_pack_unpack_order():
a = np.array([[2], [7], [23]], dtype=np.uint8)
b = np.unpackbits(a, axis=1)
assert_equal(b.dtype, np.uint8)
b_little = np.unpackbits(a, axis=1, bitorder='little')
b_big = np.unpackbits(a, axis=1, bitorder='big')
assert_array_equal(b, b_big)
assert_array_equal(a, np.packbits(b_little, axis=1, bitorder='little'))
assert_array_equal(b[:,::-1], b_little)
assert_array_equal(a, np.packbits(b_big, axis=1, bitorder='big'))
assert_raises(ValueError, np.unpackbits, a, bitorder='r')
assert_raises(TypeError, np.unpackbits, a, bitorder=10)
def test_unpackbits_empty():
a = np.empty((0,), dtype=np.uint8)
b = np.unpackbits(a)
assert_equal(b.dtype, np.uint8)
assert_array_equal(b, np.empty((0,)))
def test_unpackbits_empty_with_axis():
# Lists of packed shapes for different axes and unpacked shapes.
shapes = [
([(0,)], (0,)),
([(2, 24, 0), (16, 3, 0), (16, 24, 0)], (16, 24, 0)),
([(2, 0, 24), (16, 0, 24), (16, 0, 3)], (16, 0, 24)),
([(0, 16, 24), (0, 2, 24), (0, 16, 3)], (0, 16, 24)),
([(3, 0, 0), (24, 0, 0), (24, 0, 0)], (24, 0, 0)),
([(0, 24, 0), (0, 3, 0), (0, 24, 0)], (0, 24, 0)),
([(0, 0, 24), (0, 0, 24), (0, 0, 3)], (0, 0, 24)),
([(0, 0, 0), (0, 0, 0), (0, 0, 0)], (0, 0, 0)),
]
for in_shapes, out_shape in shapes:
for ax, in_shape in enumerate(in_shapes):
a = np.empty(in_shape, dtype=np.uint8)
b = np.unpackbits(a, axis=ax)
assert_equal(b.dtype, np.uint8)
assert_equal(b.shape, out_shape)
def test_unpackbits_large():
# test all possible numbers via comparison to already tested packbits
d = np.arange(277, dtype=np.uint8)
assert_array_equal(np.packbits(np.unpackbits(d)), d)
assert_array_equal(np.packbits(np.unpackbits(d[::2])), d[::2])
d = np.tile(d, (3, 1))
assert_array_equal(np.packbits(np.unpackbits(d, axis=1), axis=1), d)
d = d.T.copy()
assert_array_equal(np.packbits(np.unpackbits(d, axis=0), axis=0), d)
class TestCount():
x = np.array([
[1, 0, 1, 0, 0, 1, 0],
[0, 1, 1, 1, 0, 0, 0],
[0, 0, 1, 0, 0, 1, 1],
[1, 1, 0, 0, 0, 1, 1],
[1, 0, 1, 0, 1, 0, 1],
[0, 0, 1, 1, 1, 0, 0],
[0, 1, 0, 1, 0, 1, 0],
], dtype=np.uint8)
padded1 = np.zeros(57, dtype=np.uint8)
padded1[:49] = x.ravel()
padded1b = np.zeros(57, dtype=np.uint8)
padded1b[:49] = x[::-1].copy().ravel()
padded2 = np.zeros((9, 9), dtype=np.uint8)
padded2[:7, :7] = x
@pytest.mark.parametrize('bitorder', ('little', 'big'))
@pytest.mark.parametrize('count', chain(range(58), range(-1, -57, -1)))
def test_roundtrip(self, bitorder, count):
if count < 0:
# one extra zero of padding
cutoff = count - 1
else:
cutoff = count
# test complete invertibility of packbits and unpackbits with count
packed = np.packbits(self.x, bitorder=bitorder)
unpacked = np.unpackbits(packed, count=count, bitorder=bitorder)
assert_equal(unpacked.dtype, np.uint8)
assert_array_equal(unpacked, self.padded1[:cutoff])
@pytest.mark.parametrize('kwargs', [
{}, {'count': None},
])
def test_count(self, kwargs):
packed = np.packbits(self.x)
unpacked = np.unpackbits(packed, **kwargs)
assert_equal(unpacked.dtype, np.uint8)
assert_array_equal(unpacked, self.padded1[:-1])
@pytest.mark.parametrize('bitorder', ('little', 'big'))
# delta==-1 when count<0 because one extra zero of padding
@pytest.mark.parametrize('count', chain(range(8), range(-1, -9, -1)))
def test_roundtrip_axis(self, bitorder, count):
if count < 0:
# one extra zero of padding
cutoff = count - 1
else:
cutoff = count
packed0 = np.packbits(self.x, axis=0, bitorder=bitorder)
unpacked0 = np.unpackbits(packed0, axis=0, count=count,
bitorder=bitorder)
assert_equal(unpacked0.dtype, np.uint8)
assert_array_equal(unpacked0, self.padded2[:cutoff, :self.x.shape[1]])
packed1 = np.packbits(self.x, axis=1, bitorder=bitorder)
unpacked1 = np.unpackbits(packed1, axis=1, count=count,
bitorder=bitorder)
assert_equal(unpacked1.dtype, np.uint8)
assert_array_equal(unpacked1, self.padded2[:self.x.shape[0], :cutoff])
@pytest.mark.parametrize('kwargs', [
{}, {'count': None},
{'bitorder' : 'little'},
{'bitorder': 'little', 'count': None},
{'bitorder' : 'big'},
{'bitorder': 'big', 'count': None},
])
def test_axis_count(self, kwargs):
packed0 = np.packbits(self.x, axis=0)
unpacked0 = np.unpackbits(packed0, axis=0, **kwargs)
assert_equal(unpacked0.dtype, np.uint8)
if kwargs.get('bitorder', 'big') == 'big':
assert_array_equal(unpacked0, self.padded2[:-1, :self.x.shape[1]])
else:
assert_array_equal(unpacked0[::-1, :], self.padded2[:-1, :self.x.shape[1]])
packed1 = np.packbits(self.x, axis=1)
unpacked1 = np.unpackbits(packed1, axis=1, **kwargs)
assert_equal(unpacked1.dtype, np.uint8)
if kwargs.get('bitorder', 'big') == 'big':
assert_array_equal(unpacked1, self.padded2[:self.x.shape[0], :-1])
else:
assert_array_equal(unpacked1[:, ::-1], self.padded2[:self.x.shape[0], :-1])
def test_bad_count(self):
packed0 = np.packbits(self.x, axis=0)
assert_raises(ValueError, np.unpackbits, packed0, axis=0, count=-9)
packed1 = np.packbits(self.x, axis=1)
assert_raises(ValueError, np.unpackbits, packed1, axis=1, count=-9)
packed = np.packbits(self.x)
assert_raises(ValueError, np.unpackbits, packed, count=-57)
@@ -0,0 +1,303 @@
import numpy as np
from numpy.testing import (
assert_, assert_equal, assert_array_equal, assert_almost_equal,
assert_array_almost_equal, assert_raises, assert_allclose
)
import pytest
# `poly1d` has some support for `bool_` and `timedelta64`,
# but it is limited and they are therefore excluded here
TYPE_CODES = np.typecodes["AllInteger"] + np.typecodes["AllFloat"] + "O"
class TestPolynomial:
def test_poly1d_str_and_repr(self):
p = np.poly1d([1., 2, 3])
assert_equal(repr(p), 'poly1d([1., 2., 3.])')
assert_equal(str(p),
' 2\n'
'1 x + 2 x + 3')
q = np.poly1d([3., 2, 1])
assert_equal(repr(q), 'poly1d([3., 2., 1.])')
assert_equal(str(q),
' 2\n'
'3 x + 2 x + 1')
r = np.poly1d([1.89999 + 2j, -3j, -5.12345678, 2 + 1j])
assert_equal(str(r),
' 3 2\n'
'(1.9 + 2j) x - 3j x - 5.123 x + (2 + 1j)')
assert_equal(str(np.poly1d([-3, -2, -1])),
' 2\n'
'-3 x - 2 x - 1')
def test_poly1d_resolution(self):
p = np.poly1d([1., 2, 3])
q = np.poly1d([3., 2, 1])
assert_equal(p(0), 3.0)
assert_equal(p(5), 38.0)
assert_equal(q(0), 1.0)
assert_equal(q(5), 86.0)
def test_poly1d_math(self):
# here we use some simple coeffs to make calculations easier
p = np.poly1d([1., 2, 4])
q = np.poly1d([4., 2, 1])
assert_equal(p/q, (np.poly1d([0.25]), np.poly1d([1.5, 3.75])))
assert_equal(p.integ(), np.poly1d([1/3, 1., 4., 0.]))
assert_equal(p.integ(1), np.poly1d([1/3, 1., 4., 0.]))
p = np.poly1d([1., 2, 3])
q = np.poly1d([3., 2, 1])
assert_equal(p * q, np.poly1d([3., 8., 14., 8., 3.]))
assert_equal(p + q, np.poly1d([4., 4., 4.]))
assert_equal(p - q, np.poly1d([-2., 0., 2.]))
assert_equal(p ** 4, np.poly1d([1., 8., 36., 104., 214., 312., 324., 216., 81.]))
assert_equal(p(q), np.poly1d([9., 12., 16., 8., 6.]))
assert_equal(q(p), np.poly1d([3., 12., 32., 40., 34.]))
assert_equal(p.deriv(), np.poly1d([2., 2.]))
assert_equal(p.deriv(2), np.poly1d([2.]))
assert_equal(np.polydiv(np.poly1d([1, 0, -1]), np.poly1d([1, 1])),
(np.poly1d([1., -1.]), np.poly1d([0.])))
@pytest.mark.parametrize("type_code", TYPE_CODES)
def test_poly1d_misc(self, type_code: str) -> None:
dtype = np.dtype(type_code)
ar = np.array([1, 2, 3], dtype=dtype)
p = np.poly1d(ar)
# `__eq__`
assert_equal(np.asarray(p), ar)
assert_equal(np.asarray(p).dtype, dtype)
assert_equal(len(p), 2)
# `__getitem__`
comparison_dct = {-1: 0, 0: 3, 1: 2, 2: 1, 3: 0}
for index, ref in comparison_dct.items():
scalar = p[index]
assert_equal(scalar, ref)
if dtype == np.object_:
assert isinstance(scalar, int)
else:
assert_equal(scalar.dtype, dtype)
def test_poly1d_variable_arg(self):
q = np.poly1d([1., 2, 3], variable='y')
assert_equal(str(q),
' 2\n'
'1 y + 2 y + 3')
q = np.poly1d([1., 2, 3], variable='lambda')
assert_equal(str(q),
' 2\n'
'1 lambda + 2 lambda + 3')
def test_poly(self):
assert_array_almost_equal(np.poly([3, -np.sqrt(2), np.sqrt(2)]),
[1, -3, -2, 6])
# From matlab docs
A = [[1, 2, 3], [4, 5, 6], [7, 8, 0]]
assert_array_almost_equal(np.poly(A), [1, -6, -72, -27])
# Should produce real output for perfect conjugates
assert_(np.isrealobj(np.poly([+1.082j, +2.613j, -2.613j, -1.082j])))
assert_(np.isrealobj(np.poly([0+1j, -0+-1j, 1+2j,
1-2j, 1.+3.5j, 1-3.5j])))
assert_(np.isrealobj(np.poly([1j, -1j, 1+2j, 1-2j, 1+3j, 1-3.j])))
assert_(np.isrealobj(np.poly([1j, -1j, 1+2j, 1-2j])))
assert_(np.isrealobj(np.poly([1j, -1j, 2j, -2j])))
assert_(np.isrealobj(np.poly([1j, -1j])))
assert_(np.isrealobj(np.poly([1, -1])))
assert_(np.iscomplexobj(np.poly([1j, -1.0000001j])))
np.random.seed(42)
a = np.random.randn(100) + 1j*np.random.randn(100)
assert_(np.isrealobj(np.poly(np.concatenate((a, np.conjugate(a))))))
def test_roots(self):
assert_array_equal(np.roots([1, 0, 0]), [0, 0])
def test_str_leading_zeros(self):
p = np.poly1d([4, 3, 2, 1])
p[3] = 0
assert_equal(str(p),
" 2\n"
"3 x + 2 x + 1")
p = np.poly1d([1, 2])
p[0] = 0
p[1] = 0
assert_equal(str(p), " \n0")
def test_polyfit(self):
c = np.array([3., 2., 1.])
x = np.linspace(0, 2, 7)
y = np.polyval(c, x)
err = [1, -1, 1, -1, 1, -1, 1]
weights = np.arange(8, 1, -1)**2/7.0
# Check exception when too few points for variance estimate. Note that
# the estimate requires the number of data points to exceed
# degree + 1
assert_raises(ValueError, np.polyfit,
[1], [1], deg=0, cov=True)
# check 1D case
m, cov = np.polyfit(x, y+err, 2, cov=True)
est = [3.8571, 0.2857, 1.619]
assert_almost_equal(est, m, decimal=4)
val0 = [[ 1.4694, -2.9388, 0.8163],
[-2.9388, 6.3673, -2.1224],
[ 0.8163, -2.1224, 1.161 ]]
assert_almost_equal(val0, cov, decimal=4)
m2, cov2 = np.polyfit(x, y+err, 2, w=weights, cov=True)
assert_almost_equal([4.8927, -1.0177, 1.7768], m2, decimal=4)
val = [[ 4.3964, -5.0052, 0.4878],
[-5.0052, 6.8067, -0.9089],
[ 0.4878, -0.9089, 0.3337]]
assert_almost_equal(val, cov2, decimal=4)
m3, cov3 = np.polyfit(x, y+err, 2, w=weights, cov="unscaled")
assert_almost_equal([4.8927, -1.0177, 1.7768], m3, decimal=4)
val = [[ 0.1473, -0.1677, 0.0163],
[-0.1677, 0.228 , -0.0304],
[ 0.0163, -0.0304, 0.0112]]
assert_almost_equal(val, cov3, decimal=4)
# check 2D (n,1) case
y = y[:, np.newaxis]
c = c[:, np.newaxis]
assert_almost_equal(c, np.polyfit(x, y, 2))
# check 2D (n,2) case
yy = np.concatenate((y, y), axis=1)
cc = np.concatenate((c, c), axis=1)
assert_almost_equal(cc, np.polyfit(x, yy, 2))
m, cov = np.polyfit(x, yy + np.array(err)[:, np.newaxis], 2, cov=True)
assert_almost_equal(est, m[:, 0], decimal=4)
assert_almost_equal(est, m[:, 1], decimal=4)
assert_almost_equal(val0, cov[:, :, 0], decimal=4)
assert_almost_equal(val0, cov[:, :, 1], decimal=4)
# check order 1 (deg=0) case, were the analytic results are simple
np.random.seed(123)
y = np.random.normal(size=(4, 10000))
mean, cov = np.polyfit(np.zeros(y.shape[0]), y, deg=0, cov=True)
# Should get sigma_mean = sigma/sqrt(N) = 1./sqrt(4) = 0.5.
assert_allclose(mean.std(), 0.5, atol=0.01)
assert_allclose(np.sqrt(cov.mean()), 0.5, atol=0.01)
# Without scaling, since reduced chi2 is 1, the result should be the same.
mean, cov = np.polyfit(np.zeros(y.shape[0]), y, w=np.ones(y.shape[0]),
deg=0, cov="unscaled")
assert_allclose(mean.std(), 0.5, atol=0.01)
assert_almost_equal(np.sqrt(cov.mean()), 0.5)
# If we estimate our errors wrong, no change with scaling:
w = np.full(y.shape[0], 1./0.5)
mean, cov = np.polyfit(np.zeros(y.shape[0]), y, w=w, deg=0, cov=True)
assert_allclose(mean.std(), 0.5, atol=0.01)
assert_allclose(np.sqrt(cov.mean()), 0.5, atol=0.01)
# But if we do not scale, our estimate for the error in the mean will
# differ.
mean, cov = np.polyfit(np.zeros(y.shape[0]), y, w=w, deg=0, cov="unscaled")
assert_allclose(mean.std(), 0.5, atol=0.01)
assert_almost_equal(np.sqrt(cov.mean()), 0.25)
def test_objects(self):
from decimal import Decimal
p = np.poly1d([Decimal('4.0'), Decimal('3.0'), Decimal('2.0')])
p2 = p * Decimal('1.333333333333333')
assert_(p2[1] == Decimal("3.9999999999999990"))
p2 = p.deriv()
assert_(p2[1] == Decimal('8.0'))
p2 = p.integ()
assert_(p2[3] == Decimal("1.333333333333333333333333333"))
assert_(p2[2] == Decimal('1.5'))
assert_(np.issubdtype(p2.coeffs.dtype, np.object_))
p = np.poly([Decimal(1), Decimal(2)])
assert_equal(np.poly([Decimal(1), Decimal(2)]),
[1, Decimal(-3), Decimal(2)])
def test_complex(self):
p = np.poly1d([3j, 2j, 1j])
p2 = p.integ()
assert_((p2.coeffs == [1j, 1j, 1j, 0]).all())
p2 = p.deriv()
assert_((p2.coeffs == [6j, 2j]).all())
def test_integ_coeffs(self):
p = np.poly1d([3, 2, 1])
p2 = p.integ(3, k=[9, 7, 6])
assert_(
(p2.coeffs == [1/4./5., 1/3./4., 1/2./3., 9/1./2., 7, 6]).all())
def test_zero_dims(self):
try:
np.poly(np.zeros((0, 0)))
except ValueError:
pass
def test_poly_int_overflow(self):
"""
Regression test for gh-5096.
"""
v = np.arange(1, 21)
assert_almost_equal(np.poly(v), np.poly(np.diag(v)))
def test_zero_poly_dtype(self):
"""
Regression test for gh-16354.
"""
z = np.array([0, 0, 0])
p = np.poly1d(z.astype(np.int64))
assert_equal(p.coeffs.dtype, np.int64)
p = np.poly1d(z.astype(np.float32))
assert_equal(p.coeffs.dtype, np.float32)
p = np.poly1d(z.astype(np.complex64))
assert_equal(p.coeffs.dtype, np.complex64)
def test_poly_eq(self):
p = np.poly1d([1, 2, 3])
p2 = np.poly1d([1, 2, 4])
assert_equal(p == None, False)
assert_equal(p != None, True)
assert_equal(p == p, True)
assert_equal(p == p2, False)
assert_equal(p != p2, True)
def test_polydiv(self):
b = np.poly1d([2, 6, 6, 1])
a = np.poly1d([-1j, (1+2j), -(2+1j), 1])
q, r = np.polydiv(b, a)
assert_equal(q.coeffs.dtype, np.complex128)
assert_equal(r.coeffs.dtype, np.complex128)
assert_equal(q*a + r, b)
c = [1, 2, 3]
d = np.poly1d([1, 2, 3])
s, t = np.polydiv(c, d)
assert isinstance(s, np.poly1d)
assert isinstance(t, np.poly1d)
u, v = np.polydiv(d, c)
assert isinstance(u, np.poly1d)
assert isinstance(v, np.poly1d)
def test_poly_coeffs_mutable(self):
""" Coefficients should be modifiable """
p = np.poly1d([1, 2, 3])
p.coeffs += 1
assert_equal(p.coeffs, [2, 3, 4])
p.coeffs[2] += 10
assert_equal(p.coeffs, [2, 3, 14])
# this never used to be allowed - let's not add features to deprecated
# APIs
assert_raises(AttributeError, setattr, p, 'coeffs', np.array(1))
File diff suppressed because it is too large Load Diff
@@ -0,0 +1,247 @@
import os
import numpy as np
from numpy.testing import (
assert_, assert_equal, assert_array_equal, assert_array_almost_equal,
assert_raises, _assert_valid_refcount,
)
class TestRegression:
def test_poly1d(self):
# Ticket #28
assert_equal(np.poly1d([1]) - np.poly1d([1, 0]),
np.poly1d([-1, 1]))
def test_cov_parameters(self):
# Ticket #91
x = np.random.random((3, 3))
y = x.copy()
np.cov(x, rowvar=True)
np.cov(y, rowvar=False)
assert_array_equal(x, y)
def test_mem_digitize(self):
# Ticket #95
for i in range(100):
np.digitize([1, 2, 3, 4], [1, 3])
np.digitize([0, 1, 2, 3, 4], [1, 3])
def test_unique_zero_sized(self):
# Ticket #205
assert_array_equal([], np.unique(np.array([])))
def test_mem_vectorise(self):
# Ticket #325
vt = np.vectorize(lambda *args: args)
vt(np.zeros((1, 2, 1)), np.zeros((2, 1, 1)), np.zeros((1, 1, 2)))
vt(np.zeros((1, 2, 1)), np.zeros((2, 1, 1)), np.zeros((1,
1, 2)), np.zeros((2, 2)))
def test_mgrid_single_element(self):
# Ticket #339
assert_array_equal(np.mgrid[0:0:1j], [0])
assert_array_equal(np.mgrid[0:0], [])
def test_refcount_vectorize(self):
# Ticket #378
def p(x, y):
return 123
v = np.vectorize(p)
_assert_valid_refcount(v)
def test_poly1d_nan_roots(self):
# Ticket #396
p = np.poly1d([np.nan, np.nan, 1], r=False)
assert_raises(np.linalg.LinAlgError, getattr, p, "r")
def test_mem_polymul(self):
# Ticket #448
np.polymul([], [1.])
def test_mem_string_concat(self):
# Ticket #469
x = np.array([])
np.append(x, 'asdasd\tasdasd')
def test_poly_div(self):
# Ticket #553
u = np.poly1d([1, 2, 3])
v = np.poly1d([1, 2, 3, 4, 5])
q, r = np.polydiv(u, v)
assert_equal(q*v + r, u)
def test_poly_eq(self):
# Ticket #554
x = np.poly1d([1, 2, 3])
y = np.poly1d([3, 4])
assert_(x != y)
assert_(x == x)
def test_polyfit_build(self):
# Ticket #628
ref = [-1.06123820e-06, 5.70886914e-04, -1.13822012e-01,
9.95368241e+00, -3.14526520e+02]
x = [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, 129,
130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141,
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]
y = [9.0, 3.0, 7.0, 4.0, 4.0, 8.0, 6.0, 11.0, 9.0, 8.0, 11.0, 5.0,
6.0, 5.0, 9.0, 8.0, 6.0, 10.0, 6.0, 10.0, 7.0, 6.0, 6.0, 6.0,
13.0, 4.0, 9.0, 11.0, 4.0, 5.0, 8.0, 5.0, 7.0, 7.0, 6.0, 12.0,
7.0, 7.0, 9.0, 4.0, 12.0, 6.0, 6.0, 4.0, 3.0, 9.0, 8.0, 8.0,
6.0, 7.0, 9.0, 10.0, 6.0, 8.0, 4.0, 7.0, 7.0, 10.0, 8.0, 8.0,
6.0, 3.0, 8.0, 4.0, 5.0, 7.0, 8.0, 6.0, 6.0, 4.0, 12.0, 9.0,
8.0, 8.0, 8.0, 6.0, 7.0, 4.0, 4.0, 5.0, 7.0]
tested = np.polyfit(x, y, 4)
assert_array_almost_equal(ref, tested)
def test_polydiv_type(self):
# Make polydiv work for complex types
msg = "Wrong type, should be complex"
x = np.ones(3, dtype=complex)
q, r = np.polydiv(x, x)
assert_(q.dtype == complex, msg)
msg = "Wrong type, should be float"
x = np.ones(3, dtype=int)
q, r = np.polydiv(x, x)
assert_(q.dtype == float, msg)
def test_histogramdd_too_many_bins(self):
# Ticket 928.
assert_raises(ValueError, np.histogramdd, np.ones((1, 10)), bins=2**10)
def test_polyint_type(self):
# Ticket #944
msg = "Wrong type, should be complex"
x = np.ones(3, dtype=complex)
assert_(np.polyint(x).dtype == complex, msg)
msg = "Wrong type, should be float"
x = np.ones(3, dtype=int)
assert_(np.polyint(x).dtype == float, msg)
def test_ndenumerate_crash(self):
# Ticket 1140
# Shouldn't crash:
list(np.ndenumerate(np.array([[]])))
def test_asfarray_none(self):
# Test for changeset r5065
assert_array_equal(np.array([np.nan]), np.asfarray([None]))
def test_large_fancy_indexing(self):
# Large enough to fail on 64-bit.
nbits = np.dtype(np.intp).itemsize * 8
thesize = int((2**nbits)**(1.0/5.0)+1)
def dp():
n = 3
a = np.ones((n,)*5)
i = np.random.randint(0, n, size=thesize)
a[np.ix_(i, i, i, i, i)] = 0
def dp2():
n = 3
a = np.ones((n,)*5)
i = np.random.randint(0, n, size=thesize)
a[np.ix_(i, i, i, i, i)]
assert_raises(ValueError, dp)
assert_raises(ValueError, dp2)
def test_void_coercion(self):
dt = np.dtype([('a', 'f4'), ('b', 'i4')])
x = np.zeros((1,), dt)
assert_(np.r_[x, x].dtype == dt)
def test_who_with_0dim_array(self):
# ticket #1243
import os
import sys
oldstdout = sys.stdout
sys.stdout = open(os.devnull, 'w')
try:
try:
np.who({'foo': np.array(1)})
except Exception:
raise AssertionError("ticket #1243")
finally:
sys.stdout.close()
sys.stdout = oldstdout
def test_include_dirs(self):
# As a sanity check, just test that get_include
# includes something reasonable. Somewhat
# related to ticket #1405.
include_dirs = [np.get_include()]
for path in include_dirs:
assert_(isinstance(path, str))
assert_(path != '')
def test_polyder_return_type(self):
# Ticket #1249
assert_(isinstance(np.polyder(np.poly1d([1]), 0), np.poly1d))
assert_(isinstance(np.polyder([1], 0), np.ndarray))
assert_(isinstance(np.polyder(np.poly1d([1]), 1), np.poly1d))
assert_(isinstance(np.polyder([1], 1), np.ndarray))
def test_append_fields_dtype_list(self):
# Ticket #1676
from numpy.lib.recfunctions import append_fields
base = np.array([1, 2, 3], dtype=np.int32)
names = ['a', 'b', 'c']
data = np.eye(3).astype(np.int32)
dlist = [np.float64, np.int32, np.int32]
try:
append_fields(base, names, data, dlist)
except Exception:
raise AssertionError()
def test_loadtxt_fields_subarrays(self):
# For ticket #1936
from io import StringIO
dt = [("a", 'u1', 2), ("b", 'u1', 2)]
x = np.loadtxt(StringIO("0 1 2 3"), dtype=dt)
assert_equal(x, np.array([((0, 1), (2, 3))], dtype=dt))
dt = [("a", [("a", 'u1', (1, 3)), ("b", 'u1')])]
x = np.loadtxt(StringIO("0 1 2 3"), dtype=dt)
assert_equal(x, np.array([(((0, 1, 2), 3),)], dtype=dt))
dt = [("a", 'u1', (2, 2))]
x = np.loadtxt(StringIO("0 1 2 3"), dtype=dt)
assert_equal(x, np.array([(((0, 1), (2, 3)),)], dtype=dt))
dt = [("a", 'u1', (2, 3, 2))]
x = np.loadtxt(StringIO("0 1 2 3 4 5 6 7 8 9 10 11"), dtype=dt)
data = [((((0, 1), (2, 3), (4, 5)), ((6, 7), (8, 9), (10, 11))),)]
assert_equal(x, np.array(data, dtype=dt))
def test_nansum_with_boolean(self):
# gh-2978
a = np.zeros(2, dtype=bool)
try:
np.nansum(a)
except Exception:
raise AssertionError()
def test_py3_compat(self):
# gh-2561
# Test if the oldstyle class test is bypassed in python3
class C():
"""Old-style class in python2, normal class in python3"""
pass
out = open(os.devnull, 'w')
try:
np.info(C(), output=out)
except AttributeError:
raise AssertionError()
finally:
out.close()
@@ -0,0 +1,787 @@
import numpy as np
import functools
import sys
import pytest
from numpy.lib.shape_base import (
apply_along_axis, apply_over_axes, array_split, split, hsplit, dsplit,
vsplit, dstack, column_stack, kron, tile, expand_dims, take_along_axis,
put_along_axis
)
from numpy.testing import (
assert_, assert_equal, assert_array_equal, assert_raises, assert_warns
)
IS_64BIT = sys.maxsize > 2**32
def _add_keepdims(func):
""" hack in keepdims behavior into a function taking an axis """
@functools.wraps(func)
def wrapped(a, axis, **kwargs):
res = func(a, axis=axis, **kwargs)
if axis is None:
axis = 0 # res is now a scalar, so we can insert this anywhere
return np.expand_dims(res, axis=axis)
return wrapped
class TestTakeAlongAxis:
def test_argequivalent(self):
""" Test it translates from arg<func> to <func> """
from numpy.random import rand
a = rand(3, 4, 5)
funcs = [
(np.sort, np.argsort, dict()),
(_add_keepdims(np.min), _add_keepdims(np.argmin), dict()),
(_add_keepdims(np.max), _add_keepdims(np.argmax), dict()),
(np.partition, np.argpartition, dict(kth=2)),
]
for func, argfunc, kwargs in funcs:
for axis in list(range(a.ndim)) + [None]:
a_func = func(a, axis=axis, **kwargs)
ai_func = argfunc(a, axis=axis, **kwargs)
assert_equal(a_func, take_along_axis(a, ai_func, axis=axis))
def test_invalid(self):
""" Test it errors when indices has too few dimensions """
a = np.ones((10, 10))
ai = np.ones((10, 2), dtype=np.intp)
# sanity check
take_along_axis(a, ai, axis=1)
# not enough indices
assert_raises(ValueError, take_along_axis, a, np.array(1), axis=1)
# bool arrays not allowed
assert_raises(IndexError, take_along_axis, a, ai.astype(bool), axis=1)
# float arrays not allowed
assert_raises(IndexError, take_along_axis, a, ai.astype(float), axis=1)
# invalid axis
assert_raises(np.AxisError, take_along_axis, a, ai, axis=10)
def test_empty(self):
""" Test everything is ok with empty results, even with inserted dims """
a = np.ones((3, 4, 5))
ai = np.ones((3, 0, 5), dtype=np.intp)
actual = take_along_axis(a, ai, axis=1)
assert_equal(actual.shape, ai.shape)
def test_broadcast(self):
""" Test that non-indexing dimensions are broadcast in both directions """
a = np.ones((3, 4, 1))
ai = np.ones((1, 2, 5), dtype=np.intp)
actual = take_along_axis(a, ai, axis=1)
assert_equal(actual.shape, (3, 2, 5))
class TestPutAlongAxis:
def test_replace_max(self):
a_base = np.array([[10, 30, 20], [60, 40, 50]])
for axis in list(range(a_base.ndim)) + [None]:
# we mutate this in the loop
a = a_base.copy()
# replace the max with a small value
i_max = _add_keepdims(np.argmax)(a, axis=axis)
put_along_axis(a, i_max, -99, axis=axis)
# find the new minimum, which should max
i_min = _add_keepdims(np.argmin)(a, axis=axis)
assert_equal(i_min, i_max)
def test_broadcast(self):
""" Test that non-indexing dimensions are broadcast in both directions """
a = np.ones((3, 4, 1))
ai = np.arange(10, dtype=np.intp).reshape((1, 2, 5)) % 4
put_along_axis(a, ai, 20, axis=1)
assert_equal(take_along_axis(a, ai, axis=1), 20)
class TestApplyAlongAxis:
def test_simple(self):
a = np.ones((20, 10), 'd')
assert_array_equal(
apply_along_axis(len, 0, a), len(a)*np.ones(a.shape[1]))
def test_simple101(self):
a = np.ones((10, 101), 'd')
assert_array_equal(
apply_along_axis(len, 0, a), len(a)*np.ones(a.shape[1]))
def test_3d(self):
a = np.arange(27).reshape((3, 3, 3))
assert_array_equal(apply_along_axis(np.sum, 0, a),
[[27, 30, 33], [36, 39, 42], [45, 48, 51]])
def test_preserve_subclass(self):
def double(row):
return row * 2
class MyNDArray(np.ndarray):
pass
m = np.array([[0, 1], [2, 3]]).view(MyNDArray)
expected = np.array([[0, 2], [4, 6]]).view(MyNDArray)
result = apply_along_axis(double, 0, m)
assert_(isinstance(result, MyNDArray))
assert_array_equal(result, expected)
result = apply_along_axis(double, 1, m)
assert_(isinstance(result, MyNDArray))
assert_array_equal(result, expected)
def test_subclass(self):
class MinimalSubclass(np.ndarray):
data = 1
def minimal_function(array):
return array.data
a = np.zeros((6, 3)).view(MinimalSubclass)
assert_array_equal(
apply_along_axis(minimal_function, 0, a), np.array([1, 1, 1])
)
def test_scalar_array(self, cls=np.ndarray):
a = np.ones((6, 3)).view(cls)
res = apply_along_axis(np.sum, 0, a)
assert_(isinstance(res, cls))
assert_array_equal(res, np.array([6, 6, 6]).view(cls))
def test_0d_array(self, cls=np.ndarray):
def sum_to_0d(x):
""" Sum x, returning a 0d array of the same class """
assert_equal(x.ndim, 1)
return np.squeeze(np.sum(x, keepdims=True))
a = np.ones((6, 3)).view(cls)
res = apply_along_axis(sum_to_0d, 0, a)
assert_(isinstance(res, cls))
assert_array_equal(res, np.array([6, 6, 6]).view(cls))
res = apply_along_axis(sum_to_0d, 1, a)
assert_(isinstance(res, cls))
assert_array_equal(res, np.array([3, 3, 3, 3, 3, 3]).view(cls))
def test_axis_insertion(self, cls=np.ndarray):
def f1to2(x):
"""produces an asymmetric non-square matrix from x"""
assert_equal(x.ndim, 1)
return (x[::-1] * x[1:,None]).view(cls)
a2d = np.arange(6*3).reshape((6, 3))
# 2d insertion along first axis
actual = apply_along_axis(f1to2, 0, a2d)
expected = np.stack([
f1to2(a2d[:,i]) for i in range(a2d.shape[1])
], axis=-1).view(cls)
assert_equal(type(actual), type(expected))
assert_equal(actual, expected)
# 2d insertion along last axis
actual = apply_along_axis(f1to2, 1, a2d)
expected = np.stack([
f1to2(a2d[i,:]) for i in range(a2d.shape[0])
], axis=0).view(cls)
assert_equal(type(actual), type(expected))
assert_equal(actual, expected)
# 3d insertion along middle axis
a3d = np.arange(6*5*3).reshape((6, 5, 3))
actual = apply_along_axis(f1to2, 1, a3d)
expected = np.stack([
np.stack([
f1to2(a3d[i,:,j]) for i in range(a3d.shape[0])
], axis=0)
for j in range(a3d.shape[2])
], axis=-1).view(cls)
assert_equal(type(actual), type(expected))
assert_equal(actual, expected)
def test_subclass_preservation(self):
class MinimalSubclass(np.ndarray):
pass
self.test_scalar_array(MinimalSubclass)
self.test_0d_array(MinimalSubclass)
self.test_axis_insertion(MinimalSubclass)
def test_axis_insertion_ma(self):
def f1to2(x):
"""produces an asymmetric non-square matrix from x"""
assert_equal(x.ndim, 1)
res = x[::-1] * x[1:,None]
return np.ma.masked_where(res%5==0, res)
a = np.arange(6*3).reshape((6, 3))
res = apply_along_axis(f1to2, 0, a)
assert_(isinstance(res, np.ma.masked_array))
assert_equal(res.ndim, 3)
assert_array_equal(res[:,:,0].mask, f1to2(a[:,0]).mask)
assert_array_equal(res[:,:,1].mask, f1to2(a[:,1]).mask)
assert_array_equal(res[:,:,2].mask, f1to2(a[:,2]).mask)
def test_tuple_func1d(self):
def sample_1d(x):
return x[1], x[0]
res = np.apply_along_axis(sample_1d, 1, np.array([[1, 2], [3, 4]]))
assert_array_equal(res, np.array([[2, 1], [4, 3]]))
def test_empty(self):
# can't apply_along_axis when there's no chance to call the function
def never_call(x):
assert_(False) # should never be reached
a = np.empty((0, 0))
assert_raises(ValueError, np.apply_along_axis, never_call, 0, a)
assert_raises(ValueError, np.apply_along_axis, never_call, 1, a)
# but it's sometimes ok with some non-zero dimensions
def empty_to_1(x):
assert_(len(x) == 0)
return 1
a = np.empty((10, 0))
actual = np.apply_along_axis(empty_to_1, 1, a)
assert_equal(actual, np.ones(10))
assert_raises(ValueError, np.apply_along_axis, empty_to_1, 0, a)
def test_with_iterable_object(self):
# from issue 5248
d = np.array([
[{1, 11}, {2, 22}, {3, 33}],
[{4, 44}, {5, 55}, {6, 66}]
])
actual = np.apply_along_axis(lambda a: set.union(*a), 0, d)
expected = np.array([{1, 11, 4, 44}, {2, 22, 5, 55}, {3, 33, 6, 66}])
assert_equal(actual, expected)
# issue 8642 - assert_equal doesn't detect this!
for i in np.ndindex(actual.shape):
assert_equal(type(actual[i]), type(expected[i]))
class TestApplyOverAxes:
def test_simple(self):
a = np.arange(24).reshape(2, 3, 4)
aoa_a = apply_over_axes(np.sum, a, [0, 2])
assert_array_equal(aoa_a, np.array([[[60], [92], [124]]]))
class TestExpandDims:
def test_functionality(self):
s = (2, 3, 4, 5)
a = np.empty(s)
for axis in range(-5, 4):
b = expand_dims(a, axis)
assert_(b.shape[axis] == 1)
assert_(np.squeeze(b).shape == s)
def test_axis_tuple(self):
a = np.empty((3, 3, 3))
assert np.expand_dims(a, axis=(0, 1, 2)).shape == (1, 1, 1, 3, 3, 3)
assert np.expand_dims(a, axis=(0, -1, -2)).shape == (1, 3, 3, 3, 1, 1)
assert np.expand_dims(a, axis=(0, 3, 5)).shape == (1, 3, 3, 1, 3, 1)
assert np.expand_dims(a, axis=(0, -3, -5)).shape == (1, 1, 3, 1, 3, 3)
def test_axis_out_of_range(self):
s = (2, 3, 4, 5)
a = np.empty(s)
assert_raises(np.AxisError, expand_dims, a, -6)
assert_raises(np.AxisError, expand_dims, a, 5)
a = np.empty((3, 3, 3))
assert_raises(np.AxisError, expand_dims, a, (0, -6))
assert_raises(np.AxisError, expand_dims, a, (0, 5))
def test_repeated_axis(self):
a = np.empty((3, 3, 3))
assert_raises(ValueError, expand_dims, a, axis=(1, 1))
def test_subclasses(self):
a = np.arange(10).reshape((2, 5))
a = np.ma.array(a, mask=a%3 == 0)
expanded = np.expand_dims(a, axis=1)
assert_(isinstance(expanded, np.ma.MaskedArray))
assert_equal(expanded.shape, (2, 1, 5))
assert_equal(expanded.mask.shape, (2, 1, 5))
class TestArraySplit:
def test_integer_0_split(self):
a = np.arange(10)
assert_raises(ValueError, array_split, a, 0)
def test_integer_split(self):
a = np.arange(10)
res = array_split(a, 1)
desired = [np.arange(10)]
compare_results(res, desired)
res = array_split(a, 2)
desired = [np.arange(5), np.arange(5, 10)]
compare_results(res, desired)
res = array_split(a, 3)
desired = [np.arange(4), np.arange(4, 7), np.arange(7, 10)]
compare_results(res, desired)
res = array_split(a, 4)
desired = [np.arange(3), np.arange(3, 6), np.arange(6, 8),
np.arange(8, 10)]
compare_results(res, desired)
res = array_split(a, 5)
desired = [np.arange(2), np.arange(2, 4), np.arange(4, 6),
np.arange(6, 8), np.arange(8, 10)]
compare_results(res, desired)
res = array_split(a, 6)
desired = [np.arange(2), np.arange(2, 4), np.arange(4, 6),
np.arange(6, 8), np.arange(8, 9), np.arange(9, 10)]
compare_results(res, desired)
res = array_split(a, 7)
desired = [np.arange(2), np.arange(2, 4), np.arange(4, 6),
np.arange(6, 7), np.arange(7, 8), np.arange(8, 9),
np.arange(9, 10)]
compare_results(res, desired)
res = array_split(a, 8)
desired = [np.arange(2), np.arange(2, 4), np.arange(4, 5),
np.arange(5, 6), np.arange(6, 7), np.arange(7, 8),
np.arange(8, 9), np.arange(9, 10)]
compare_results(res, desired)
res = array_split(a, 9)
desired = [np.arange(2), np.arange(2, 3), np.arange(3, 4),
np.arange(4, 5), np.arange(5, 6), np.arange(6, 7),
np.arange(7, 8), np.arange(8, 9), np.arange(9, 10)]
compare_results(res, desired)
res = array_split(a, 10)
desired = [np.arange(1), np.arange(1, 2), np.arange(2, 3),
np.arange(3, 4), np.arange(4, 5), np.arange(5, 6),
np.arange(6, 7), np.arange(7, 8), np.arange(8, 9),
np.arange(9, 10)]
compare_results(res, desired)
res = array_split(a, 11)
desired = [np.arange(1), np.arange(1, 2), np.arange(2, 3),
np.arange(3, 4), np.arange(4, 5), np.arange(5, 6),
np.arange(6, 7), np.arange(7, 8), np.arange(8, 9),
np.arange(9, 10), np.array([])]
compare_results(res, desired)
def test_integer_split_2D_rows(self):
a = np.array([np.arange(10), np.arange(10)])
res = array_split(a, 3, axis=0)
tgt = [np.array([np.arange(10)]), np.array([np.arange(10)]),
np.zeros((0, 10))]
compare_results(res, tgt)
assert_(a.dtype.type is res[-1].dtype.type)
# Same thing for manual splits:
res = array_split(a, [0, 1], axis=0)
tgt = [np.zeros((0, 10)), np.array([np.arange(10)]),
np.array([np.arange(10)])]
compare_results(res, tgt)
assert_(a.dtype.type is res[-1].dtype.type)
def test_integer_split_2D_cols(self):
a = np.array([np.arange(10), np.arange(10)])
res = array_split(a, 3, axis=-1)
desired = [np.array([np.arange(4), np.arange(4)]),
np.array([np.arange(4, 7), np.arange(4, 7)]),
np.array([np.arange(7, 10), np.arange(7, 10)])]
compare_results(res, desired)
def test_integer_split_2D_default(self):
""" This will fail if we change default axis
"""
a = np.array([np.arange(10), np.arange(10)])
res = array_split(a, 3)
tgt = [np.array([np.arange(10)]), np.array([np.arange(10)]),
np.zeros((0, 10))]
compare_results(res, tgt)
assert_(a.dtype.type is res[-1].dtype.type)
# perhaps should check higher dimensions
@pytest.mark.skipif(not IS_64BIT, reason="Needs 64bit platform")
def test_integer_split_2D_rows_greater_max_int32(self):
a = np.broadcast_to([0], (1 << 32, 2))
res = array_split(a, 4)
chunk = np.broadcast_to([0], (1 << 30, 2))
tgt = [chunk] * 4
for i in range(len(tgt)):
assert_equal(res[i].shape, tgt[i].shape)
def test_index_split_simple(self):
a = np.arange(10)
indices = [1, 5, 7]
res = array_split(a, indices, axis=-1)
desired = [np.arange(0, 1), np.arange(1, 5), np.arange(5, 7),
np.arange(7, 10)]
compare_results(res, desired)
def test_index_split_low_bound(self):
a = np.arange(10)
indices = [0, 5, 7]
res = array_split(a, indices, axis=-1)
desired = [np.array([]), np.arange(0, 5), np.arange(5, 7),
np.arange(7, 10)]
compare_results(res, desired)
def test_index_split_high_bound(self):
a = np.arange(10)
indices = [0, 5, 7, 10, 12]
res = array_split(a, indices, axis=-1)
desired = [np.array([]), np.arange(0, 5), np.arange(5, 7),
np.arange(7, 10), np.array([]), np.array([])]
compare_results(res, desired)
class TestSplit:
# The split function is essentially the same as array_split,
# except that it test if splitting will result in an
# equal split. Only test for this case.
def test_equal_split(self):
a = np.arange(10)
res = split(a, 2)
desired = [np.arange(5), np.arange(5, 10)]
compare_results(res, desired)
def test_unequal_split(self):
a = np.arange(10)
assert_raises(ValueError, split, a, 3)
class TestColumnStack:
def test_non_iterable(self):
assert_raises(TypeError, column_stack, 1)
def test_1D_arrays(self):
# example from docstring
a = np.array((1, 2, 3))
b = np.array((2, 3, 4))
expected = np.array([[1, 2],
[2, 3],
[3, 4]])
actual = np.column_stack((a, b))
assert_equal(actual, expected)
def test_2D_arrays(self):
# same as hstack 2D docstring example
a = np.array([[1], [2], [3]])
b = np.array([[2], [3], [4]])
expected = np.array([[1, 2],
[2, 3],
[3, 4]])
actual = np.column_stack((a, b))
assert_equal(actual, expected)
def test_generator(self):
with pytest.raises(TypeError, match="arrays to stack must be"):
column_stack((np.arange(3) for _ in range(2)))
class TestDstack:
def test_non_iterable(self):
assert_raises(TypeError, dstack, 1)
def test_0D_array(self):
a = np.array(1)
b = np.array(2)
res = dstack([a, b])
desired = np.array([[[1, 2]]])
assert_array_equal(res, desired)
def test_1D_array(self):
a = np.array([1])
b = np.array([2])
res = dstack([a, b])
desired = np.array([[[1, 2]]])
assert_array_equal(res, desired)
def test_2D_array(self):
a = np.array([[1], [2]])
b = np.array([[1], [2]])
res = dstack([a, b])
desired = np.array([[[1, 1]], [[2, 2, ]]])
assert_array_equal(res, desired)
def test_2D_array2(self):
a = np.array([1, 2])
b = np.array([1, 2])
res = dstack([a, b])
desired = np.array([[[1, 1], [2, 2]]])
assert_array_equal(res, desired)
def test_generator(self):
with pytest.raises(TypeError, match="arrays to stack must be"):
dstack((np.arange(3) for _ in range(2)))
# array_split has more comprehensive test of splitting.
# only do simple test on hsplit, vsplit, and dsplit
class TestHsplit:
"""Only testing for integer splits.
"""
def test_non_iterable(self):
assert_raises(ValueError, hsplit, 1, 1)
def test_0D_array(self):
a = np.array(1)
try:
hsplit(a, 2)
assert_(0)
except ValueError:
pass
def test_1D_array(self):
a = np.array([1, 2, 3, 4])
res = hsplit(a, 2)
desired = [np.array([1, 2]), np.array([3, 4])]
compare_results(res, desired)
def test_2D_array(self):
a = np.array([[1, 2, 3, 4],
[1, 2, 3, 4]])
res = hsplit(a, 2)
desired = [np.array([[1, 2], [1, 2]]), np.array([[3, 4], [3, 4]])]
compare_results(res, desired)
class TestVsplit:
"""Only testing for integer splits.
"""
def test_non_iterable(self):
assert_raises(ValueError, vsplit, 1, 1)
def test_0D_array(self):
a = np.array(1)
assert_raises(ValueError, vsplit, a, 2)
def test_1D_array(self):
a = np.array([1, 2, 3, 4])
try:
vsplit(a, 2)
assert_(0)
except ValueError:
pass
def test_2D_array(self):
a = np.array([[1, 2, 3, 4],
[1, 2, 3, 4]])
res = vsplit(a, 2)
desired = [np.array([[1, 2, 3, 4]]), np.array([[1, 2, 3, 4]])]
compare_results(res, desired)
class TestDsplit:
# Only testing for integer splits.
def test_non_iterable(self):
assert_raises(ValueError, dsplit, 1, 1)
def test_0D_array(self):
a = np.array(1)
assert_raises(ValueError, dsplit, a, 2)
def test_1D_array(self):
a = np.array([1, 2, 3, 4])
assert_raises(ValueError, dsplit, a, 2)
def test_2D_array(self):
a = np.array([[1, 2, 3, 4],
[1, 2, 3, 4]])
try:
dsplit(a, 2)
assert_(0)
except ValueError:
pass
def test_3D_array(self):
a = np.array([[[1, 2, 3, 4],
[1, 2, 3, 4]],
[[1, 2, 3, 4],
[1, 2, 3, 4]]])
res = dsplit(a, 2)
desired = [np.array([[[1, 2], [1, 2]], [[1, 2], [1, 2]]]),
np.array([[[3, 4], [3, 4]], [[3, 4], [3, 4]]])]
compare_results(res, desired)
class TestSqueeze:
def test_basic(self):
from numpy.random import rand
a = rand(20, 10, 10, 1, 1)
b = rand(20, 1, 10, 1, 20)
c = rand(1, 1, 20, 10)
assert_array_equal(np.squeeze(a), np.reshape(a, (20, 10, 10)))
assert_array_equal(np.squeeze(b), np.reshape(b, (20, 10, 20)))
assert_array_equal(np.squeeze(c), np.reshape(c, (20, 10)))
# Squeezing to 0-dim should still give an ndarray
a = [[[1.5]]]
res = np.squeeze(a)
assert_equal(res, 1.5)
assert_equal(res.ndim, 0)
assert_equal(type(res), np.ndarray)
class TestKron:
def test_basic(self):
# Using 0-dimensional ndarray
a = np.array(1)
b = np.array([[1, 2], [3, 4]])
k = np.array([[1, 2], [3, 4]])
assert_array_equal(np.kron(a, b), k)
a = np.array([[1, 2], [3, 4]])
b = np.array(1)
assert_array_equal(np.kron(a, b), k)
# Using 1-dimensional ndarray
a = np.array([3])
b = np.array([[1, 2], [3, 4]])
k = np.array([[3, 6], [9, 12]])
assert_array_equal(np.kron(a, b), k)
a = np.array([[1, 2], [3, 4]])
b = np.array([3])
assert_array_equal(np.kron(a, b), k)
# Using 3-dimensional ndarray
a = np.array([[[1]], [[2]]])
b = np.array([[1, 2], [3, 4]])
k = np.array([[[1, 2], [3, 4]], [[2, 4], [6, 8]]])
assert_array_equal(np.kron(a, b), k)
a = np.array([[1, 2], [3, 4]])
b = np.array([[[1]], [[2]]])
k = np.array([[[1, 2], [3, 4]], [[2, 4], [6, 8]]])
assert_array_equal(np.kron(a, b), k)
def test_return_type(self):
class myarray(np.ndarray):
__array_priority__ = 1.0
a = np.ones([2, 2])
ma = myarray(a.shape, a.dtype, a.data)
assert_equal(type(kron(a, a)), np.ndarray)
assert_equal(type(kron(ma, ma)), myarray)
assert_equal(type(kron(a, ma)), myarray)
assert_equal(type(kron(ma, a)), myarray)
@pytest.mark.parametrize(
"array_class", [np.asarray, np.mat]
)
def test_kron_smoke(self, array_class):
a = array_class(np.ones([3, 3]))
b = array_class(np.ones([3, 3]))
k = array_class(np.ones([9, 9]))
assert_array_equal(np.kron(a, b), k)
def test_kron_ma(self):
x = np.ma.array([[1, 2], [3, 4]], mask=[[0, 1], [1, 0]])
k = np.ma.array(np.diag([1, 4, 4, 16]),
mask=~np.array(np.identity(4), dtype=bool))
assert_array_equal(k, np.kron(x, x))
@pytest.mark.parametrize(
"shape_a,shape_b", [
((1, 1), (1, 1)),
((1, 2, 3), (4, 5, 6)),
((2, 2), (2, 2, 2)),
((1, 0), (1, 1)),
((2, 0, 2), (2, 2)),
((2, 0, 0, 2), (2, 0, 2)),
])
def test_kron_shape(self, shape_a, shape_b):
a = np.ones(shape_a)
b = np.ones(shape_b)
normalised_shape_a = (1,) * max(0, len(shape_b)-len(shape_a)) + shape_a
normalised_shape_b = (1,) * max(0, len(shape_a)-len(shape_b)) + shape_b
expected_shape = np.multiply(normalised_shape_a, normalised_shape_b)
k = np.kron(a, b)
assert np.array_equal(
k.shape, expected_shape), "Unexpected shape from kron"
class TestTile:
def test_basic(self):
a = np.array([0, 1, 2])
b = [[1, 2], [3, 4]]
assert_equal(tile(a, 2), [0, 1, 2, 0, 1, 2])
assert_equal(tile(a, (2, 2)), [[0, 1, 2, 0, 1, 2], [0, 1, 2, 0, 1, 2]])
assert_equal(tile(a, (1, 2)), [[0, 1, 2, 0, 1, 2]])
assert_equal(tile(b, 2), [[1, 2, 1, 2], [3, 4, 3, 4]])
assert_equal(tile(b, (2, 1)), [[1, 2], [3, 4], [1, 2], [3, 4]])
assert_equal(tile(b, (2, 2)), [[1, 2, 1, 2], [3, 4, 3, 4],
[1, 2, 1, 2], [3, 4, 3, 4]])
def test_tile_one_repetition_on_array_gh4679(self):
a = np.arange(5)
b = tile(a, 1)
b += 2
assert_equal(a, np.arange(5))
def test_empty(self):
a = np.array([[[]]])
b = np.array([[], []])
c = tile(b, 2).shape
d = tile(a, (3, 2, 5)).shape
assert_equal(c, (2, 0))
assert_equal(d, (3, 2, 0))
def test_kroncompare(self):
from numpy.random import randint
reps = [(2,), (1, 2), (2, 1), (2, 2), (2, 3, 2), (3, 2)]
shape = [(3,), (2, 3), (3, 4, 3), (3, 2, 3), (4, 3, 2, 4), (2, 2)]
for s in shape:
b = randint(0, 10, size=s)
for r in reps:
a = np.ones(r, b.dtype)
large = tile(b, r)
klarge = kron(a, b)
assert_equal(large, klarge)
class TestMayShareMemory:
def test_basic(self):
d = np.ones((50, 60))
d2 = np.ones((30, 60, 6))
assert_(np.may_share_memory(d, d))
assert_(np.may_share_memory(d, d[::-1]))
assert_(np.may_share_memory(d, d[::2]))
assert_(np.may_share_memory(d, d[1:, ::-1]))
assert_(not np.may_share_memory(d[::-1], d2))
assert_(not np.may_share_memory(d[::2], d2))
assert_(not np.may_share_memory(d[1:, ::-1], d2))
assert_(np.may_share_memory(d2[1:, ::-1], d2))
# Utility
def compare_results(res, desired):
"""Compare lists of arrays."""
if len(res) != len(desired):
raise ValueError("Iterables have different lengths")
# See also PEP 618 for Python 3.10
for x, y in zip(res, desired):
assert_array_equal(x, y)
@@ -0,0 +1,645 @@
import numpy as np
from numpy.core._rational_tests import rational
from numpy.testing import (
assert_equal, assert_array_equal, assert_raises, assert_,
assert_raises_regex, assert_warns,
)
from numpy.lib.stride_tricks import (
as_strided, broadcast_arrays, _broadcast_shape, broadcast_to,
broadcast_shapes, sliding_window_view,
)
import pytest
def assert_shapes_correct(input_shapes, expected_shape):
# Broadcast a list of arrays with the given input shapes and check the
# common output shape.
inarrays = [np.zeros(s) for s in input_shapes]
outarrays = broadcast_arrays(*inarrays)
outshapes = [a.shape for a in outarrays]
expected = [expected_shape] * len(inarrays)
assert_equal(outshapes, expected)
def assert_incompatible_shapes_raise(input_shapes):
# Broadcast a list of arrays with the given (incompatible) input shapes
# and check that they raise a ValueError.
inarrays = [np.zeros(s) for s in input_shapes]
assert_raises(ValueError, broadcast_arrays, *inarrays)
def assert_same_as_ufunc(shape0, shape1, transposed=False, flipped=False):
# Broadcast two shapes against each other and check that the data layout
# is the same as if a ufunc did the broadcasting.
x0 = np.zeros(shape0, dtype=int)
# Note that multiply.reduce's identity element is 1.0, so when shape1==(),
# this gives the desired n==1.
n = int(np.multiply.reduce(shape1))
x1 = np.arange(n).reshape(shape1)
if transposed:
x0 = x0.T
x1 = x1.T
if flipped:
x0 = x0[::-1]
x1 = x1[::-1]
# Use the add ufunc to do the broadcasting. Since we're adding 0s to x1, the
# result should be exactly the same as the broadcasted view of x1.
y = x0 + x1
b0, b1 = broadcast_arrays(x0, x1)
assert_array_equal(y, b1)
def test_same():
x = np.arange(10)
y = np.arange(10)
bx, by = broadcast_arrays(x, y)
assert_array_equal(x, bx)
assert_array_equal(y, by)
def test_broadcast_kwargs():
# ensure that a TypeError is appropriately raised when
# np.broadcast_arrays() is called with any keyword
# argument other than 'subok'
x = np.arange(10)
y = np.arange(10)
with assert_raises_regex(TypeError, 'got an unexpected keyword'):
broadcast_arrays(x, y, dtype='float64')
def test_one_off():
x = np.array([[1, 2, 3]])
y = np.array([[1], [2], [3]])
bx, by = broadcast_arrays(x, y)
bx0 = np.array([[1, 2, 3], [1, 2, 3], [1, 2, 3]])
by0 = bx0.T
assert_array_equal(bx0, bx)
assert_array_equal(by0, by)
def test_same_input_shapes():
# Check that the final shape is just the input shape.
data = [
(),
(1,),
(3,),
(0, 1),
(0, 3),
(1, 0),
(3, 0),
(1, 3),
(3, 1),
(3, 3),
]
for shape in data:
input_shapes = [shape]
# Single input.
assert_shapes_correct(input_shapes, shape)
# Double input.
input_shapes2 = [shape, shape]
assert_shapes_correct(input_shapes2, shape)
# Triple input.
input_shapes3 = [shape, shape, shape]
assert_shapes_correct(input_shapes3, shape)
def test_two_compatible_by_ones_input_shapes():
# Check that two different input shapes of the same length, but some have
# ones, broadcast to the correct shape.
data = [
[[(1,), (3,)], (3,)],
[[(1, 3), (3, 3)], (3, 3)],
[[(3, 1), (3, 3)], (3, 3)],
[[(1, 3), (3, 1)], (3, 3)],
[[(1, 1), (3, 3)], (3, 3)],
[[(1, 1), (1, 3)], (1, 3)],
[[(1, 1), (3, 1)], (3, 1)],
[[(1, 0), (0, 0)], (0, 0)],
[[(0, 1), (0, 0)], (0, 0)],
[[(1, 0), (0, 1)], (0, 0)],
[[(1, 1), (0, 0)], (0, 0)],
[[(1, 1), (1, 0)], (1, 0)],
[[(1, 1), (0, 1)], (0, 1)],
]
for input_shapes, expected_shape in data:
assert_shapes_correct(input_shapes, expected_shape)
# Reverse the input shapes since broadcasting should be symmetric.
assert_shapes_correct(input_shapes[::-1], expected_shape)
def test_two_compatible_by_prepending_ones_input_shapes():
# Check that two different input shapes (of different lengths) broadcast
# to the correct shape.
data = [
[[(), (3,)], (3,)],
[[(3,), (3, 3)], (3, 3)],
[[(3,), (3, 1)], (3, 3)],
[[(1,), (3, 3)], (3, 3)],
[[(), (3, 3)], (3, 3)],
[[(1, 1), (3,)], (1, 3)],
[[(1,), (3, 1)], (3, 1)],
[[(1,), (1, 3)], (1, 3)],
[[(), (1, 3)], (1, 3)],
[[(), (3, 1)], (3, 1)],
[[(), (0,)], (0,)],
[[(0,), (0, 0)], (0, 0)],
[[(0,), (0, 1)], (0, 0)],
[[(1,), (0, 0)], (0, 0)],
[[(), (0, 0)], (0, 0)],
[[(1, 1), (0,)], (1, 0)],
[[(1,), (0, 1)], (0, 1)],
[[(1,), (1, 0)], (1, 0)],
[[(), (1, 0)], (1, 0)],
[[(), (0, 1)], (0, 1)],
]
for input_shapes, expected_shape in data:
assert_shapes_correct(input_shapes, expected_shape)
# Reverse the input shapes since broadcasting should be symmetric.
assert_shapes_correct(input_shapes[::-1], expected_shape)
def test_incompatible_shapes_raise_valueerror():
# Check that a ValueError is raised for incompatible shapes.
data = [
[(3,), (4,)],
[(2, 3), (2,)],
[(3,), (3,), (4,)],
[(1, 3, 4), (2, 3, 3)],
]
for input_shapes in data:
assert_incompatible_shapes_raise(input_shapes)
# Reverse the input shapes since broadcasting should be symmetric.
assert_incompatible_shapes_raise(input_shapes[::-1])
def test_same_as_ufunc():
# Check that the data layout is the same as if a ufunc did the operation.
data = [
[[(1,), (3,)], (3,)],
[[(1, 3), (3, 3)], (3, 3)],
[[(3, 1), (3, 3)], (3, 3)],
[[(1, 3), (3, 1)], (3, 3)],
[[(1, 1), (3, 3)], (3, 3)],
[[(1, 1), (1, 3)], (1, 3)],
[[(1, 1), (3, 1)], (3, 1)],
[[(1, 0), (0, 0)], (0, 0)],
[[(0, 1), (0, 0)], (0, 0)],
[[(1, 0), (0, 1)], (0, 0)],
[[(1, 1), (0, 0)], (0, 0)],
[[(1, 1), (1, 0)], (1, 0)],
[[(1, 1), (0, 1)], (0, 1)],
[[(), (3,)], (3,)],
[[(3,), (3, 3)], (3, 3)],
[[(3,), (3, 1)], (3, 3)],
[[(1,), (3, 3)], (3, 3)],
[[(), (3, 3)], (3, 3)],
[[(1, 1), (3,)], (1, 3)],
[[(1,), (3, 1)], (3, 1)],
[[(1,), (1, 3)], (1, 3)],
[[(), (1, 3)], (1, 3)],
[[(), (3, 1)], (3, 1)],
[[(), (0,)], (0,)],
[[(0,), (0, 0)], (0, 0)],
[[(0,), (0, 1)], (0, 0)],
[[(1,), (0, 0)], (0, 0)],
[[(), (0, 0)], (0, 0)],
[[(1, 1), (0,)], (1, 0)],
[[(1,), (0, 1)], (0, 1)],
[[(1,), (1, 0)], (1, 0)],
[[(), (1, 0)], (1, 0)],
[[(), (0, 1)], (0, 1)],
]
for input_shapes, expected_shape in data:
assert_same_as_ufunc(input_shapes[0], input_shapes[1],
"Shapes: %s %s" % (input_shapes[0], input_shapes[1]))
# Reverse the input shapes since broadcasting should be symmetric.
assert_same_as_ufunc(input_shapes[1], input_shapes[0])
# Try them transposed, too.
assert_same_as_ufunc(input_shapes[0], input_shapes[1], True)
# ... and flipped for non-rank-0 inputs in order to test negative
# strides.
if () not in input_shapes:
assert_same_as_ufunc(input_shapes[0], input_shapes[1], False, True)
assert_same_as_ufunc(input_shapes[0], input_shapes[1], True, True)
def test_broadcast_to_succeeds():
data = [
[np.array(0), (0,), np.array(0)],
[np.array(0), (1,), np.zeros(1)],
[np.array(0), (3,), np.zeros(3)],
[np.ones(1), (1,), np.ones(1)],
[np.ones(1), (2,), np.ones(2)],
[np.ones(1), (1, 2, 3), np.ones((1, 2, 3))],
[np.arange(3), (3,), np.arange(3)],
[np.arange(3), (1, 3), np.arange(3).reshape(1, -1)],
[np.arange(3), (2, 3), np.array([[0, 1, 2], [0, 1, 2]])],
# test if shape is not a tuple
[np.ones(0), 0, np.ones(0)],
[np.ones(1), 1, np.ones(1)],
[np.ones(1), 2, np.ones(2)],
# these cases with size 0 are strange, but they reproduce the behavior
# of broadcasting with ufuncs (see test_same_as_ufunc above)
[np.ones(1), (0,), np.ones(0)],
[np.ones((1, 2)), (0, 2), np.ones((0, 2))],
[np.ones((2, 1)), (2, 0), np.ones((2, 0))],
]
for input_array, shape, expected in data:
actual = broadcast_to(input_array, shape)
assert_array_equal(expected, actual)
def test_broadcast_to_raises():
data = [
[(0,), ()],
[(1,), ()],
[(3,), ()],
[(3,), (1,)],
[(3,), (2,)],
[(3,), (4,)],
[(1, 2), (2, 1)],
[(1, 1), (1,)],
[(1,), -1],
[(1,), (-1,)],
[(1, 2), (-1, 2)],
]
for orig_shape, target_shape in data:
arr = np.zeros(orig_shape)
assert_raises(ValueError, lambda: broadcast_to(arr, target_shape))
def test_broadcast_shape():
# tests internal _broadcast_shape
# _broadcast_shape is already exercised indirectly by broadcast_arrays
# _broadcast_shape is also exercised by the public broadcast_shapes function
assert_equal(_broadcast_shape(), ())
assert_equal(_broadcast_shape([1, 2]), (2,))
assert_equal(_broadcast_shape(np.ones((1, 1))), (1, 1))
assert_equal(_broadcast_shape(np.ones((1, 1)), np.ones((3, 4))), (3, 4))
assert_equal(_broadcast_shape(*([np.ones((1, 2))] * 32)), (1, 2))
assert_equal(_broadcast_shape(*([np.ones((1, 2))] * 100)), (1, 2))
# regression tests for gh-5862
assert_equal(_broadcast_shape(*([np.ones(2)] * 32 + [1])), (2,))
bad_args = [np.ones(2)] * 32 + [np.ones(3)] * 32
assert_raises(ValueError, lambda: _broadcast_shape(*bad_args))
def test_broadcast_shapes_succeeds():
# tests public broadcast_shapes
data = [
[[], ()],
[[()], ()],
[[(7,)], (7,)],
[[(1, 2), (2,)], (1, 2)],
[[(1, 1)], (1, 1)],
[[(1, 1), (3, 4)], (3, 4)],
[[(6, 7), (5, 6, 1), (7,), (5, 1, 7)], (5, 6, 7)],
[[(5, 6, 1)], (5, 6, 1)],
[[(1, 3), (3, 1)], (3, 3)],
[[(1, 0), (0, 0)], (0, 0)],
[[(0, 1), (0, 0)], (0, 0)],
[[(1, 0), (0, 1)], (0, 0)],
[[(1, 1), (0, 0)], (0, 0)],
[[(1, 1), (1, 0)], (1, 0)],
[[(1, 1), (0, 1)], (0, 1)],
[[(), (0,)], (0,)],
[[(0,), (0, 0)], (0, 0)],
[[(0,), (0, 1)], (0, 0)],
[[(1,), (0, 0)], (0, 0)],
[[(), (0, 0)], (0, 0)],
[[(1, 1), (0,)], (1, 0)],
[[(1,), (0, 1)], (0, 1)],
[[(1,), (1, 0)], (1, 0)],
[[(), (1, 0)], (1, 0)],
[[(), (0, 1)], (0, 1)],
[[(1,), (3,)], (3,)],
[[2, (3, 2)], (3, 2)],
]
for input_shapes, target_shape in data:
assert_equal(broadcast_shapes(*input_shapes), target_shape)
assert_equal(broadcast_shapes(*([(1, 2)] * 32)), (1, 2))
assert_equal(broadcast_shapes(*([(1, 2)] * 100)), (1, 2))
# regression tests for gh-5862
assert_equal(broadcast_shapes(*([(2,)] * 32)), (2,))
def test_broadcast_shapes_raises():
# tests public broadcast_shapes
data = [
[(3,), (4,)],
[(2, 3), (2,)],
[(3,), (3,), (4,)],
[(1, 3, 4), (2, 3, 3)],
[(1, 2), (3,1), (3,2), (10, 5)],
[2, (2, 3)],
]
for input_shapes in data:
assert_raises(ValueError, lambda: broadcast_shapes(*input_shapes))
bad_args = [(2,)] * 32 + [(3,)] * 32
assert_raises(ValueError, lambda: broadcast_shapes(*bad_args))
def test_as_strided():
a = np.array([None])
a_view = as_strided(a)
expected = np.array([None])
assert_array_equal(a_view, np.array([None]))
a = np.array([1, 2, 3, 4])
a_view = as_strided(a, shape=(2,), strides=(2 * a.itemsize,))
expected = np.array([1, 3])
assert_array_equal(a_view, expected)
a = np.array([1, 2, 3, 4])
a_view = as_strided(a, shape=(3, 4), strides=(0, 1 * a.itemsize))
expected = np.array([[1, 2, 3, 4], [1, 2, 3, 4], [1, 2, 3, 4]])
assert_array_equal(a_view, expected)
# Regression test for gh-5081
dt = np.dtype([('num', 'i4'), ('obj', 'O')])
a = np.empty((4,), dtype=dt)
a['num'] = np.arange(1, 5)
a_view = as_strided(a, shape=(3, 4), strides=(0, a.itemsize))
expected_num = [[1, 2, 3, 4]] * 3
expected_obj = [[None]*4]*3
assert_equal(a_view.dtype, dt)
assert_array_equal(expected_num, a_view['num'])
assert_array_equal(expected_obj, a_view['obj'])
# Make sure that void types without fields are kept unchanged
a = np.empty((4,), dtype='V4')
a_view = as_strided(a, shape=(3, 4), strides=(0, a.itemsize))
assert_equal(a.dtype, a_view.dtype)
# Make sure that the only type that could fail is properly handled
dt = np.dtype({'names': [''], 'formats': ['V4']})
a = np.empty((4,), dtype=dt)
a_view = as_strided(a, shape=(3, 4), strides=(0, a.itemsize))
assert_equal(a.dtype, a_view.dtype)
# Custom dtypes should not be lost (gh-9161)
r = [rational(i) for i in range(4)]
a = np.array(r, dtype=rational)
a_view = as_strided(a, shape=(3, 4), strides=(0, a.itemsize))
assert_equal(a.dtype, a_view.dtype)
assert_array_equal([r] * 3, a_view)
class TestSlidingWindowView:
def test_1d(self):
arr = np.arange(5)
arr_view = sliding_window_view(arr, 2)
expected = np.array([[0, 1],
[1, 2],
[2, 3],
[3, 4]])
assert_array_equal(arr_view, expected)
def test_2d(self):
i, j = np.ogrid[:3, :4]
arr = 10*i + j
shape = (2, 2)
arr_view = sliding_window_view(arr, shape)
expected = np.array([[[[0, 1], [10, 11]],
[[1, 2], [11, 12]],
[[2, 3], [12, 13]]],
[[[10, 11], [20, 21]],
[[11, 12], [21, 22]],
[[12, 13], [22, 23]]]])
assert_array_equal(arr_view, expected)
def test_2d_with_axis(self):
i, j = np.ogrid[:3, :4]
arr = 10*i + j
arr_view = sliding_window_view(arr, 3, 0)
expected = np.array([[[0, 10, 20],
[1, 11, 21],
[2, 12, 22],
[3, 13, 23]]])
assert_array_equal(arr_view, expected)
def test_2d_repeated_axis(self):
i, j = np.ogrid[:3, :4]
arr = 10*i + j
arr_view = sliding_window_view(arr, (2, 3), (1, 1))
expected = np.array([[[[0, 1, 2],
[1, 2, 3]]],
[[[10, 11, 12],
[11, 12, 13]]],
[[[20, 21, 22],
[21, 22, 23]]]])
assert_array_equal(arr_view, expected)
def test_2d_without_axis(self):
i, j = np.ogrid[:4, :4]
arr = 10*i + j
shape = (2, 3)
arr_view = sliding_window_view(arr, shape)
expected = np.array([[[[0, 1, 2], [10, 11, 12]],
[[1, 2, 3], [11, 12, 13]]],
[[[10, 11, 12], [20, 21, 22]],
[[11, 12, 13], [21, 22, 23]]],
[[[20, 21, 22], [30, 31, 32]],
[[21, 22, 23], [31, 32, 33]]]])
assert_array_equal(arr_view, expected)
def test_errors(self):
i, j = np.ogrid[:4, :4]
arr = 10*i + j
with pytest.raises(ValueError, match='cannot contain negative values'):
sliding_window_view(arr, (-1, 3))
with pytest.raises(
ValueError,
match='must provide window_shape for all dimensions of `x`'):
sliding_window_view(arr, (1,))
with pytest.raises(
ValueError,
match='Must provide matching length window_shape and axis'):
sliding_window_view(arr, (1, 3, 4), axis=(0, 1))
with pytest.raises(
ValueError,
match='window shape cannot be larger than input array'):
sliding_window_view(arr, (5, 5))
def test_writeable(self):
arr = np.arange(5)
view = sliding_window_view(arr, 2, writeable=False)
assert_(not view.flags.writeable)
with pytest.raises(
ValueError,
match='assignment destination is read-only'):
view[0, 0] = 3
view = sliding_window_view(arr, 2, writeable=True)
assert_(view.flags.writeable)
view[0, 1] = 3
assert_array_equal(arr, np.array([0, 3, 2, 3, 4]))
def test_subok(self):
class MyArray(np.ndarray):
pass
arr = np.arange(5).view(MyArray)
assert_(not isinstance(sliding_window_view(arr, 2,
subok=False),
MyArray))
assert_(isinstance(sliding_window_view(arr, 2, subok=True), MyArray))
# Default behavior
assert_(not isinstance(sliding_window_view(arr, 2), MyArray))
def as_strided_writeable():
arr = np.ones(10)
view = as_strided(arr, writeable=False)
assert_(not view.flags.writeable)
# Check that writeable also is fine:
view = as_strided(arr, writeable=True)
assert_(view.flags.writeable)
view[...] = 3
assert_array_equal(arr, np.full_like(arr, 3))
# Test that things do not break down for readonly:
arr.flags.writeable = False
view = as_strided(arr, writeable=False)
view = as_strided(arr, writeable=True)
assert_(not view.flags.writeable)
class VerySimpleSubClass(np.ndarray):
def __new__(cls, *args, **kwargs):
return np.array(*args, subok=True, **kwargs).view(cls)
class SimpleSubClass(VerySimpleSubClass):
def __new__(cls, *args, **kwargs):
self = np.array(*args, subok=True, **kwargs).view(cls)
self.info = 'simple'
return self
def __array_finalize__(self, obj):
self.info = getattr(obj, 'info', '') + ' finalized'
def test_subclasses():
# test that subclass is preserved only if subok=True
a = VerySimpleSubClass([1, 2, 3, 4])
assert_(type(a) is VerySimpleSubClass)
a_view = as_strided(a, shape=(2,), strides=(2 * a.itemsize,))
assert_(type(a_view) is np.ndarray)
a_view = as_strided(a, shape=(2,), strides=(2 * a.itemsize,), subok=True)
assert_(type(a_view) is VerySimpleSubClass)
# test that if a subclass has __array_finalize__, it is used
a = SimpleSubClass([1, 2, 3, 4])
a_view = as_strided(a, shape=(2,), strides=(2 * a.itemsize,), subok=True)
assert_(type(a_view) is SimpleSubClass)
assert_(a_view.info == 'simple finalized')
# similar tests for broadcast_arrays
b = np.arange(len(a)).reshape(-1, 1)
a_view, b_view = broadcast_arrays(a, b)
assert_(type(a_view) is np.ndarray)
assert_(type(b_view) is np.ndarray)
assert_(a_view.shape == b_view.shape)
a_view, b_view = broadcast_arrays(a, b, subok=True)
assert_(type(a_view) is SimpleSubClass)
assert_(a_view.info == 'simple finalized')
assert_(type(b_view) is np.ndarray)
assert_(a_view.shape == b_view.shape)
# and for broadcast_to
shape = (2, 4)
a_view = broadcast_to(a, shape)
assert_(type(a_view) is np.ndarray)
assert_(a_view.shape == shape)
a_view = broadcast_to(a, shape, subok=True)
assert_(type(a_view) is SimpleSubClass)
assert_(a_view.info == 'simple finalized')
assert_(a_view.shape == shape)
def test_writeable():
# broadcast_to should return a readonly array
original = np.array([1, 2, 3])
result = broadcast_to(original, (2, 3))
assert_equal(result.flags.writeable, False)
assert_raises(ValueError, result.__setitem__, slice(None), 0)
# but the result of broadcast_arrays needs to be writeable, to
# preserve backwards compatibility
for is_broadcast, results in [(False, broadcast_arrays(original,)),
(True, broadcast_arrays(0, original))]:
for result in results:
# This will change to False in a future version
if is_broadcast:
with assert_warns(FutureWarning):
assert_equal(result.flags.writeable, True)
with assert_warns(DeprecationWarning):
result[:] = 0
# Warning not emitted, writing to the array resets it
assert_equal(result.flags.writeable, True)
else:
# No warning:
assert_equal(result.flags.writeable, True)
for results in [broadcast_arrays(original),
broadcast_arrays(0, original)]:
for result in results:
# resets the warn_on_write DeprecationWarning
result.flags.writeable = True
# check: no warning emitted
assert_equal(result.flags.writeable, True)
result[:] = 0
# keep readonly input readonly
original.flags.writeable = False
_, result = broadcast_arrays(0, original)
assert_equal(result.flags.writeable, False)
# regression test for GH6491
shape = (2,)
strides = [0]
tricky_array = as_strided(np.array(0), shape, strides)
other = np.zeros((1,))
first, second = broadcast_arrays(tricky_array, other)
assert_(first.shape == second.shape)
def test_writeable_memoryview():
# The result of broadcast_arrays exports as a non-writeable memoryview
# because otherwise there is no good way to opt in to the new behaviour
# (i.e. you would need to set writeable to False explicitly).
# See gh-13929.
original = np.array([1, 2, 3])
for is_broadcast, results in [(False, broadcast_arrays(original,)),
(True, broadcast_arrays(0, original))]:
for result in results:
# This will change to False in a future version
if is_broadcast:
# memoryview(result, writable=True) will give warning but cannot
# be tested using the python API.
assert memoryview(result).readonly
else:
assert not memoryview(result).readonly
def test_reference_types():
input_array = np.array('a', dtype=object)
expected = np.array(['a'] * 3, dtype=object)
actual = broadcast_to(input_array, (3,))
assert_array_equal(expected, actual)
actual, _ = broadcast_arrays(input_array, np.ones(3))
assert_array_equal(expected, actual)
@@ -0,0 +1,541 @@
"""Test functions for matrix module
"""
from numpy.testing import (
assert_equal, assert_array_equal, assert_array_max_ulp,
assert_array_almost_equal, assert_raises, assert_
)
from numpy import (
arange, add, fliplr, flipud, zeros, ones, eye, array, diag, histogram2d,
tri, mask_indices, triu_indices, triu_indices_from, tril_indices,
tril_indices_from, vander,
)
import numpy as np
import pytest
def get_mat(n):
data = arange(n)
data = add.outer(data, data)
return data
class TestEye:
def test_basic(self):
assert_equal(eye(4),
array([[1, 0, 0, 0],
[0, 1, 0, 0],
[0, 0, 1, 0],
[0, 0, 0, 1]]))
assert_equal(eye(4, dtype='f'),
array([[1, 0, 0, 0],
[0, 1, 0, 0],
[0, 0, 1, 0],
[0, 0, 0, 1]], 'f'))
assert_equal(eye(3) == 1,
eye(3, dtype=bool))
def test_uint64(self):
# Regression test for gh-9982
assert_equal(eye(np.uint64(2), dtype=int), array([[1, 0], [0, 1]]))
assert_equal(eye(np.uint64(2), M=np.uint64(4), k=np.uint64(1)),
array([[0, 1, 0, 0], [0, 0, 1, 0]]))
def test_diag(self):
assert_equal(eye(4, k=1),
array([[0, 1, 0, 0],
[0, 0, 1, 0],
[0, 0, 0, 1],
[0, 0, 0, 0]]))
assert_equal(eye(4, k=-1),
array([[0, 0, 0, 0],
[1, 0, 0, 0],
[0, 1, 0, 0],
[0, 0, 1, 0]]))
def test_2d(self):
assert_equal(eye(4, 3),
array([[1, 0, 0],
[0, 1, 0],
[0, 0, 1],
[0, 0, 0]]))
assert_equal(eye(3, 4),
array([[1, 0, 0, 0],
[0, 1, 0, 0],
[0, 0, 1, 0]]))
def test_diag2d(self):
assert_equal(eye(3, 4, k=2),
array([[0, 0, 1, 0],
[0, 0, 0, 1],
[0, 0, 0, 0]]))
assert_equal(eye(4, 3, k=-2),
array([[0, 0, 0],
[0, 0, 0],
[1, 0, 0],
[0, 1, 0]]))
def test_eye_bounds(self):
assert_equal(eye(2, 2, 1), [[0, 1], [0, 0]])
assert_equal(eye(2, 2, -1), [[0, 0], [1, 0]])
assert_equal(eye(2, 2, 2), [[0, 0], [0, 0]])
assert_equal(eye(2, 2, -2), [[0, 0], [0, 0]])
assert_equal(eye(3, 2, 2), [[0, 0], [0, 0], [0, 0]])
assert_equal(eye(3, 2, 1), [[0, 1], [0, 0], [0, 0]])
assert_equal(eye(3, 2, -1), [[0, 0], [1, 0], [0, 1]])
assert_equal(eye(3, 2, -2), [[0, 0], [0, 0], [1, 0]])
assert_equal(eye(3, 2, -3), [[0, 0], [0, 0], [0, 0]])
def test_strings(self):
assert_equal(eye(2, 2, dtype='S3'),
[[b'1', b''], [b'', b'1']])
def test_bool(self):
assert_equal(eye(2, 2, dtype=bool), [[True, False], [False, True]])
def test_order(self):
mat_c = eye(4, 3, k=-1)
mat_f = eye(4, 3, k=-1, order='F')
assert_equal(mat_c, mat_f)
assert mat_c.flags.c_contiguous
assert not mat_c.flags.f_contiguous
assert not mat_f.flags.c_contiguous
assert mat_f.flags.f_contiguous
class TestDiag:
def test_vector(self):
vals = (100 * arange(5)).astype('l')
b = zeros((5, 5))
for k in range(5):
b[k, k] = vals[k]
assert_equal(diag(vals), b)
b = zeros((7, 7))
c = b.copy()
for k in range(5):
b[k, k + 2] = vals[k]
c[k + 2, k] = vals[k]
assert_equal(diag(vals, k=2), b)
assert_equal(diag(vals, k=-2), c)
def test_matrix(self, vals=None):
if vals is None:
vals = (100 * get_mat(5) + 1).astype('l')
b = zeros((5,))
for k in range(5):
b[k] = vals[k, k]
assert_equal(diag(vals), b)
b = b * 0
for k in range(3):
b[k] = vals[k, k + 2]
assert_equal(diag(vals, 2), b[:3])
for k in range(3):
b[k] = vals[k + 2, k]
assert_equal(diag(vals, -2), b[:3])
def test_fortran_order(self):
vals = array((100 * get_mat(5) + 1), order='F', dtype='l')
self.test_matrix(vals)
def test_diag_bounds(self):
A = [[1, 2], [3, 4], [5, 6]]
assert_equal(diag(A, k=2), [])
assert_equal(diag(A, k=1), [2])
assert_equal(diag(A, k=0), [1, 4])
assert_equal(diag(A, k=-1), [3, 6])
assert_equal(diag(A, k=-2), [5])
assert_equal(diag(A, k=-3), [])
def test_failure(self):
assert_raises(ValueError, diag, [[[1]]])
class TestFliplr:
def test_basic(self):
assert_raises(ValueError, fliplr, ones(4))
a = get_mat(4)
b = a[:, ::-1]
assert_equal(fliplr(a), b)
a = [[0, 1, 2],
[3, 4, 5]]
b = [[2, 1, 0],
[5, 4, 3]]
assert_equal(fliplr(a), b)
class TestFlipud:
def test_basic(self):
a = get_mat(4)
b = a[::-1, :]
assert_equal(flipud(a), b)
a = [[0, 1, 2],
[3, 4, 5]]
b = [[3, 4, 5],
[0, 1, 2]]
assert_equal(flipud(a), b)
class TestHistogram2d:
def test_simple(self):
x = array(
[0.41702200, 0.72032449, 1.1437481e-4, 0.302332573, 0.146755891])
y = array(
[0.09233859, 0.18626021, 0.34556073, 0.39676747, 0.53881673])
xedges = np.linspace(0, 1, 10)
yedges = np.linspace(0, 1, 10)
H = histogram2d(x, y, (xedges, yedges))[0]
answer = array(
[[0, 0, 0, 1, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 1, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0],
[1, 0, 1, 0, 0, 0, 0, 0, 0],
[0, 1, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0]])
assert_array_equal(H.T, answer)
H = histogram2d(x, y, xedges)[0]
assert_array_equal(H.T, answer)
H, xedges, yedges = histogram2d(list(range(10)), list(range(10)))
assert_array_equal(H, eye(10, 10))
assert_array_equal(xedges, np.linspace(0, 9, 11))
assert_array_equal(yedges, np.linspace(0, 9, 11))
def test_asym(self):
x = array([1, 1, 2, 3, 4, 4, 4, 5])
y = array([1, 3, 2, 0, 1, 2, 3, 4])
H, xed, yed = histogram2d(
x, y, (6, 5), range=[[0, 6], [0, 5]], density=True)
answer = array(
[[0., 0, 0, 0, 0],
[0, 1, 0, 1, 0],
[0, 0, 1, 0, 0],
[1, 0, 0, 0, 0],
[0, 1, 1, 1, 0],
[0, 0, 0, 0, 1]])
assert_array_almost_equal(H, answer/8., 3)
assert_array_equal(xed, np.linspace(0, 6, 7))
assert_array_equal(yed, np.linspace(0, 5, 6))
def test_density(self):
x = array([1, 2, 3, 1, 2, 3, 1, 2, 3])
y = array([1, 1, 1, 2, 2, 2, 3, 3, 3])
H, xed, yed = histogram2d(
x, y, [[1, 2, 3, 5], [1, 2, 3, 5]], density=True)
answer = array([[1, 1, .5],
[1, 1, .5],
[.5, .5, .25]])/9.
assert_array_almost_equal(H, answer, 3)
def test_all_outliers(self):
r = np.random.rand(100) + 1. + 1e6 # histogramdd rounds by decimal=6
H, xed, yed = histogram2d(r, r, (4, 5), range=([0, 1], [0, 1]))
assert_array_equal(H, 0)
def test_empty(self):
a, edge1, edge2 = histogram2d([], [], bins=([0, 1], [0, 1]))
assert_array_max_ulp(a, array([[0.]]))
a, edge1, edge2 = histogram2d([], [], bins=4)
assert_array_max_ulp(a, np.zeros((4, 4)))
def test_binparameter_combination(self):
x = array(
[0, 0.09207008, 0.64575234, 0.12875982, 0.47390599,
0.59944483, 1])
y = array(
[0, 0.14344267, 0.48988575, 0.30558665, 0.44700682,
0.15886423, 1])
edges = (0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1)
H, xe, ye = histogram2d(x, y, (edges, 4))
answer = array(
[[2., 0., 0., 0.],
[0., 1., 0., 0.],
[0., 0., 0., 0.],
[0., 0., 0., 0.],
[0., 1., 0., 0.],
[1., 0., 0., 0.],
[0., 1., 0., 0.],
[0., 0., 0., 0.],
[0., 0., 0., 0.],
[0., 0., 0., 1.]])
assert_array_equal(H, answer)
assert_array_equal(ye, array([0., 0.25, 0.5, 0.75, 1]))
H, xe, ye = histogram2d(x, y, (4, edges))
answer = array(
[[1., 1., 0., 1., 0., 0., 0., 0., 0., 0.],
[0., 0., 0., 0., 1., 0., 0., 0., 0., 0.],
[0., 1., 0., 0., 1., 0., 0., 0., 0., 0.],
[0., 0., 0., 0., 0., 0., 0., 0., 0., 1.]])
assert_array_equal(H, answer)
assert_array_equal(xe, array([0., 0.25, 0.5, 0.75, 1]))
def test_dispatch(self):
class ShouldDispatch:
def __array_function__(self, function, types, args, kwargs):
return types, args, kwargs
xy = [1, 2]
s_d = ShouldDispatch()
r = histogram2d(s_d, xy)
# Cannot use assert_equal since that dispatches...
assert_(r == ((ShouldDispatch,), (s_d, xy), {}))
r = histogram2d(xy, s_d)
assert_(r == ((ShouldDispatch,), (xy, s_d), {}))
r = histogram2d(xy, xy, bins=s_d)
assert_(r, ((ShouldDispatch,), (xy, xy), dict(bins=s_d)))
r = histogram2d(xy, xy, bins=[s_d, 5])
assert_(r, ((ShouldDispatch,), (xy, xy), dict(bins=[s_d, 5])))
assert_raises(Exception, histogram2d, xy, xy, bins=[s_d])
r = histogram2d(xy, xy, weights=s_d)
assert_(r, ((ShouldDispatch,), (xy, xy), dict(weights=s_d)))
@pytest.mark.parametrize(("x_len", "y_len"), [(10, 11), (20, 19)])
def test_bad_length(self, x_len, y_len):
x, y = np.ones(x_len), np.ones(y_len)
with pytest.raises(ValueError,
match='x and y must have the same length.'):
histogram2d(x, y)
class TestTri:
def test_dtype(self):
out = array([[1, 0, 0],
[1, 1, 0],
[1, 1, 1]])
assert_array_equal(tri(3), out)
assert_array_equal(tri(3, dtype=bool), out.astype(bool))
def test_tril_triu_ndim2():
for dtype in np.typecodes['AllFloat'] + np.typecodes['AllInteger']:
a = np.ones((2, 2), dtype=dtype)
b = np.tril(a)
c = np.triu(a)
assert_array_equal(b, [[1, 0], [1, 1]])
assert_array_equal(c, b.T)
# should return the same dtype as the original array
assert_equal(b.dtype, a.dtype)
assert_equal(c.dtype, a.dtype)
def test_tril_triu_ndim3():
for dtype in np.typecodes['AllFloat'] + np.typecodes['AllInteger']:
a = np.array([
[[1, 1], [1, 1]],
[[1, 1], [1, 0]],
[[1, 1], [0, 0]],
], dtype=dtype)
a_tril_desired = np.array([
[[1, 0], [1, 1]],
[[1, 0], [1, 0]],
[[1, 0], [0, 0]],
], dtype=dtype)
a_triu_desired = np.array([
[[1, 1], [0, 1]],
[[1, 1], [0, 0]],
[[1, 1], [0, 0]],
], dtype=dtype)
a_triu_observed = np.triu(a)
a_tril_observed = np.tril(a)
assert_array_equal(a_triu_observed, a_triu_desired)
assert_array_equal(a_tril_observed, a_tril_desired)
assert_equal(a_triu_observed.dtype, a.dtype)
assert_equal(a_tril_observed.dtype, a.dtype)
def test_tril_triu_with_inf():
# Issue 4859
arr = np.array([[1, 1, np.inf],
[1, 1, 1],
[np.inf, 1, 1]])
out_tril = np.array([[1, 0, 0],
[1, 1, 0],
[np.inf, 1, 1]])
out_triu = out_tril.T
assert_array_equal(np.triu(arr), out_triu)
assert_array_equal(np.tril(arr), out_tril)
def test_tril_triu_dtype():
# Issue 4916
# tril and triu should return the same dtype as input
for c in np.typecodes['All']:
if c == 'V':
continue
arr = np.zeros((3, 3), dtype=c)
assert_equal(np.triu(arr).dtype, arr.dtype)
assert_equal(np.tril(arr).dtype, arr.dtype)
# check special cases
arr = np.array([['2001-01-01T12:00', '2002-02-03T13:56'],
['2004-01-01T12:00', '2003-01-03T13:45']],
dtype='datetime64')
assert_equal(np.triu(arr).dtype, arr.dtype)
assert_equal(np.tril(arr).dtype, arr.dtype)
arr = np.zeros((3, 3), dtype='f4,f4')
assert_equal(np.triu(arr).dtype, arr.dtype)
assert_equal(np.tril(arr).dtype, arr.dtype)
def test_mask_indices():
# simple test without offset
iu = mask_indices(3, np.triu)
a = np.arange(9).reshape(3, 3)
assert_array_equal(a[iu], array([0, 1, 2, 4, 5, 8]))
# Now with an offset
iu1 = mask_indices(3, np.triu, 1)
assert_array_equal(a[iu1], array([1, 2, 5]))
def test_tril_indices():
# indices without and with offset
il1 = tril_indices(4)
il2 = tril_indices(4, k=2)
il3 = tril_indices(4, m=5)
il4 = tril_indices(4, k=2, m=5)
a = np.array([[1, 2, 3, 4],
[5, 6, 7, 8],
[9, 10, 11, 12],
[13, 14, 15, 16]])
b = np.arange(1, 21).reshape(4, 5)
# indexing:
assert_array_equal(a[il1],
array([1, 5, 6, 9, 10, 11, 13, 14, 15, 16]))
assert_array_equal(b[il3],
array([1, 6, 7, 11, 12, 13, 16, 17, 18, 19]))
# And for assigning values:
a[il1] = -1
assert_array_equal(a,
array([[-1, 2, 3, 4],
[-1, -1, 7, 8],
[-1, -1, -1, 12],
[-1, -1, -1, -1]]))
b[il3] = -1
assert_array_equal(b,
array([[-1, 2, 3, 4, 5],
[-1, -1, 8, 9, 10],
[-1, -1, -1, 14, 15],
[-1, -1, -1, -1, 20]]))
# These cover almost the whole array (two diagonals right of the main one):
a[il2] = -10
assert_array_equal(a,
array([[-10, -10, -10, 4],
[-10, -10, -10, -10],
[-10, -10, -10, -10],
[-10, -10, -10, -10]]))
b[il4] = -10
assert_array_equal(b,
array([[-10, -10, -10, 4, 5],
[-10, -10, -10, -10, 10],
[-10, -10, -10, -10, -10],
[-10, -10, -10, -10, -10]]))
class TestTriuIndices:
def test_triu_indices(self):
iu1 = triu_indices(4)
iu2 = triu_indices(4, k=2)
iu3 = triu_indices(4, m=5)
iu4 = triu_indices(4, k=2, m=5)
a = np.array([[1, 2, 3, 4],
[5, 6, 7, 8],
[9, 10, 11, 12],
[13, 14, 15, 16]])
b = np.arange(1, 21).reshape(4, 5)
# Both for indexing:
assert_array_equal(a[iu1],
array([1, 2, 3, 4, 6, 7, 8, 11, 12, 16]))
assert_array_equal(b[iu3],
array([1, 2, 3, 4, 5, 7, 8, 9,
10, 13, 14, 15, 19, 20]))
# And for assigning values:
a[iu1] = -1
assert_array_equal(a,
array([[-1, -1, -1, -1],
[5, -1, -1, -1],
[9, 10, -1, -1],
[13, 14, 15, -1]]))
b[iu3] = -1
assert_array_equal(b,
array([[-1, -1, -1, -1, -1],
[6, -1, -1, -1, -1],
[11, 12, -1, -1, -1],
[16, 17, 18, -1, -1]]))
# These cover almost the whole array (two diagonals right of the
# main one):
a[iu2] = -10
assert_array_equal(a,
array([[-1, -1, -10, -10],
[5, -1, -1, -10],
[9, 10, -1, -1],
[13, 14, 15, -1]]))
b[iu4] = -10
assert_array_equal(b,
array([[-1, -1, -10, -10, -10],
[6, -1, -1, -10, -10],
[11, 12, -1, -1, -10],
[16, 17, 18, -1, -1]]))
class TestTrilIndicesFrom:
def test_exceptions(self):
assert_raises(ValueError, tril_indices_from, np.ones((2,)))
assert_raises(ValueError, tril_indices_from, np.ones((2, 2, 2)))
# assert_raises(ValueError, tril_indices_from, np.ones((2, 3)))
class TestTriuIndicesFrom:
def test_exceptions(self):
assert_raises(ValueError, triu_indices_from, np.ones((2,)))
assert_raises(ValueError, triu_indices_from, np.ones((2, 2, 2)))
# assert_raises(ValueError, triu_indices_from, np.ones((2, 3)))
class TestVander:
def test_basic(self):
c = np.array([0, 1, -2, 3])
v = vander(c)
powers = np.array([[0, 0, 0, 0, 1],
[1, 1, 1, 1, 1],
[16, -8, 4, -2, 1],
[81, 27, 9, 3, 1]])
# Check default value of N:
assert_array_equal(v, powers[:, 1:])
# Check a range of N values, including 0 and 5 (greater than default)
m = powers.shape[1]
for n in range(6):
v = vander(c, N=n)
assert_array_equal(v, powers[:, m-n:m])
def test_dtypes(self):
c = array([11, -12, 13], dtype=np.int8)
v = vander(c)
expected = np.array([[121, 11, 1],
[144, -12, 1],
[169, 13, 1]])
assert_array_equal(v, expected)
c = array([1.0+1j, 1.0-1j])
v = vander(c, N=3)
expected = np.array([[2j, 1+1j, 1],
[-2j, 1-1j, 1]])
# The data is floating point, but the values are small integers,
# so assert_array_equal *should* be safe here (rather than, say,
# assert_array_almost_equal).
assert_array_equal(v, expected)
@@ -0,0 +1,478 @@
import numpy as np
from numpy.testing import (
assert_, assert_equal, assert_array_equal, assert_raises
)
from numpy.lib.type_check import (
common_type, mintypecode, isreal, iscomplex, isposinf, isneginf,
nan_to_num, isrealobj, iscomplexobj, asfarray, real_if_close
)
def assert_all(x):
assert_(np.all(x), x)
class TestCommonType:
def test_basic(self):
ai32 = np.array([[1, 2], [3, 4]], dtype=np.int32)
af16 = np.array([[1, 2], [3, 4]], dtype=np.float16)
af32 = np.array([[1, 2], [3, 4]], dtype=np.float32)
af64 = np.array([[1, 2], [3, 4]], dtype=np.float64)
acs = np.array([[1+5j, 2+6j], [3+7j, 4+8j]], dtype=np.csingle)
acd = np.array([[1+5j, 2+6j], [3+7j, 4+8j]], dtype=np.cdouble)
assert_(common_type(ai32) == np.float64)
assert_(common_type(af16) == np.float16)
assert_(common_type(af32) == np.float32)
assert_(common_type(af64) == np.float64)
assert_(common_type(acs) == np.csingle)
assert_(common_type(acd) == np.cdouble)
class TestMintypecode:
def test_default_1(self):
for itype in '1bcsuwil':
assert_equal(mintypecode(itype), 'd')
assert_equal(mintypecode('f'), 'f')
assert_equal(mintypecode('d'), 'd')
assert_equal(mintypecode('F'), 'F')
assert_equal(mintypecode('D'), 'D')
def test_default_2(self):
for itype in '1bcsuwil':
assert_equal(mintypecode(itype+'f'), 'f')
assert_equal(mintypecode(itype+'d'), 'd')
assert_equal(mintypecode(itype+'F'), 'F')
assert_equal(mintypecode(itype+'D'), 'D')
assert_equal(mintypecode('ff'), 'f')
assert_equal(mintypecode('fd'), 'd')
assert_equal(mintypecode('fF'), 'F')
assert_equal(mintypecode('fD'), 'D')
assert_equal(mintypecode('df'), 'd')
assert_equal(mintypecode('dd'), 'd')
#assert_equal(mintypecode('dF',savespace=1),'F')
assert_equal(mintypecode('dF'), 'D')
assert_equal(mintypecode('dD'), 'D')
assert_equal(mintypecode('Ff'), 'F')
#assert_equal(mintypecode('Fd',savespace=1),'F')
assert_equal(mintypecode('Fd'), 'D')
assert_equal(mintypecode('FF'), 'F')
assert_equal(mintypecode('FD'), 'D')
assert_equal(mintypecode('Df'), 'D')
assert_equal(mintypecode('Dd'), 'D')
assert_equal(mintypecode('DF'), 'D')
assert_equal(mintypecode('DD'), 'D')
def test_default_3(self):
assert_equal(mintypecode('fdF'), 'D')
#assert_equal(mintypecode('fdF',savespace=1),'F')
assert_equal(mintypecode('fdD'), 'D')
assert_equal(mintypecode('fFD'), 'D')
assert_equal(mintypecode('dFD'), 'D')
assert_equal(mintypecode('ifd'), 'd')
assert_equal(mintypecode('ifF'), 'F')
assert_equal(mintypecode('ifD'), 'D')
assert_equal(mintypecode('idF'), 'D')
#assert_equal(mintypecode('idF',savespace=1),'F')
assert_equal(mintypecode('idD'), 'D')
class TestIsscalar:
def test_basic(self):
assert_(np.isscalar(3))
assert_(not np.isscalar([3]))
assert_(not np.isscalar((3,)))
assert_(np.isscalar(3j))
assert_(np.isscalar(4.0))
class TestReal:
def test_real(self):
y = np.random.rand(10,)
assert_array_equal(y, np.real(y))
y = np.array(1)
out = np.real(y)
assert_array_equal(y, out)
assert_(isinstance(out, np.ndarray))
y = 1
out = np.real(y)
assert_equal(y, out)
assert_(not isinstance(out, np.ndarray))
def test_cmplx(self):
y = np.random.rand(10,)+1j*np.random.rand(10,)
assert_array_equal(y.real, np.real(y))
y = np.array(1 + 1j)
out = np.real(y)
assert_array_equal(y.real, out)
assert_(isinstance(out, np.ndarray))
y = 1 + 1j
out = np.real(y)
assert_equal(1.0, out)
assert_(not isinstance(out, np.ndarray))
class TestImag:
def test_real(self):
y = np.random.rand(10,)
assert_array_equal(0, np.imag(y))
y = np.array(1)
out = np.imag(y)
assert_array_equal(0, out)
assert_(isinstance(out, np.ndarray))
y = 1
out = np.imag(y)
assert_equal(0, out)
assert_(not isinstance(out, np.ndarray))
def test_cmplx(self):
y = np.random.rand(10,)+1j*np.random.rand(10,)
assert_array_equal(y.imag, np.imag(y))
y = np.array(1 + 1j)
out = np.imag(y)
assert_array_equal(y.imag, out)
assert_(isinstance(out, np.ndarray))
y = 1 + 1j
out = np.imag(y)
assert_equal(1.0, out)
assert_(not isinstance(out, np.ndarray))
class TestIscomplex:
def test_fail(self):
z = np.array([-1, 0, 1])
res = iscomplex(z)
assert_(not np.any(res, axis=0))
def test_pass(self):
z = np.array([-1j, 1, 0])
res = iscomplex(z)
assert_array_equal(res, [1, 0, 0])
class TestIsreal:
def test_pass(self):
z = np.array([-1, 0, 1j])
res = isreal(z)
assert_array_equal(res, [1, 1, 0])
def test_fail(self):
z = np.array([-1j, 1, 0])
res = isreal(z)
assert_array_equal(res, [0, 1, 1])
class TestIscomplexobj:
def test_basic(self):
z = np.array([-1, 0, 1])
assert_(not iscomplexobj(z))
z = np.array([-1j, 0, -1])
assert_(iscomplexobj(z))
def test_scalar(self):
assert_(not iscomplexobj(1.0))
assert_(iscomplexobj(1+0j))
def test_list(self):
assert_(iscomplexobj([3, 1+0j, True]))
assert_(not iscomplexobj([3, 1, True]))
def test_duck(self):
class DummyComplexArray:
@property
def dtype(self):
return np.dtype(complex)
dummy = DummyComplexArray()
assert_(iscomplexobj(dummy))
def test_pandas_duck(self):
# This tests a custom np.dtype duck-typed class, such as used by pandas
# (pandas.core.dtypes)
class PdComplex(np.complex128):
pass
class PdDtype:
name = 'category'
names = None
type = PdComplex
kind = 'c'
str = '<c16'
base = np.dtype('complex128')
class DummyPd:
@property
def dtype(self):
return PdDtype
dummy = DummyPd()
assert_(iscomplexobj(dummy))
def test_custom_dtype_duck(self):
class MyArray(list):
@property
def dtype(self):
return complex
a = MyArray([1+0j, 2+0j, 3+0j])
assert_(iscomplexobj(a))
class TestIsrealobj:
def test_basic(self):
z = np.array([-1, 0, 1])
assert_(isrealobj(z))
z = np.array([-1j, 0, -1])
assert_(not isrealobj(z))
class TestIsnan:
def test_goodvalues(self):
z = np.array((-1., 0., 1.))
res = np.isnan(z) == 0
assert_all(np.all(res, axis=0))
def test_posinf(self):
with np.errstate(divide='ignore'):
assert_all(np.isnan(np.array((1.,))/0.) == 0)
def test_neginf(self):
with np.errstate(divide='ignore'):
assert_all(np.isnan(np.array((-1.,))/0.) == 0)
def test_ind(self):
with np.errstate(divide='ignore', invalid='ignore'):
assert_all(np.isnan(np.array((0.,))/0.) == 1)
def test_integer(self):
assert_all(np.isnan(1) == 0)
def test_complex(self):
assert_all(np.isnan(1+1j) == 0)
def test_complex1(self):
with np.errstate(divide='ignore', invalid='ignore'):
assert_all(np.isnan(np.array(0+0j)/0.) == 1)
class TestIsfinite:
# Fixme, wrong place, isfinite now ufunc
def test_goodvalues(self):
z = np.array((-1., 0., 1.))
res = np.isfinite(z) == 1
assert_all(np.all(res, axis=0))
def test_posinf(self):
with np.errstate(divide='ignore', invalid='ignore'):
assert_all(np.isfinite(np.array((1.,))/0.) == 0)
def test_neginf(self):
with np.errstate(divide='ignore', invalid='ignore'):
assert_all(np.isfinite(np.array((-1.,))/0.) == 0)
def test_ind(self):
with np.errstate(divide='ignore', invalid='ignore'):
assert_all(np.isfinite(np.array((0.,))/0.) == 0)
def test_integer(self):
assert_all(np.isfinite(1) == 1)
def test_complex(self):
assert_all(np.isfinite(1+1j) == 1)
def test_complex1(self):
with np.errstate(divide='ignore', invalid='ignore'):
assert_all(np.isfinite(np.array(1+1j)/0.) == 0)
class TestIsinf:
# Fixme, wrong place, isinf now ufunc
def test_goodvalues(self):
z = np.array((-1., 0., 1.))
res = np.isinf(z) == 0
assert_all(np.all(res, axis=0))
def test_posinf(self):
with np.errstate(divide='ignore', invalid='ignore'):
assert_all(np.isinf(np.array((1.,))/0.) == 1)
def test_posinf_scalar(self):
with np.errstate(divide='ignore', invalid='ignore'):
assert_all(np.isinf(np.array(1.,)/0.) == 1)
def test_neginf(self):
with np.errstate(divide='ignore', invalid='ignore'):
assert_all(np.isinf(np.array((-1.,))/0.) == 1)
def test_neginf_scalar(self):
with np.errstate(divide='ignore', invalid='ignore'):
assert_all(np.isinf(np.array(-1.)/0.) == 1)
def test_ind(self):
with np.errstate(divide='ignore', invalid='ignore'):
assert_all(np.isinf(np.array((0.,))/0.) == 0)
class TestIsposinf:
def test_generic(self):
with np.errstate(divide='ignore', invalid='ignore'):
vals = isposinf(np.array((-1., 0, 1))/0.)
assert_(vals[0] == 0)
assert_(vals[1] == 0)
assert_(vals[2] == 1)
class TestIsneginf:
def test_generic(self):
with np.errstate(divide='ignore', invalid='ignore'):
vals = isneginf(np.array((-1., 0, 1))/0.)
assert_(vals[0] == 1)
assert_(vals[1] == 0)
assert_(vals[2] == 0)
class TestNanToNum:
def test_generic(self):
with np.errstate(divide='ignore', invalid='ignore'):
vals = nan_to_num(np.array((-1., 0, 1))/0.)
assert_all(vals[0] < -1e10) and assert_all(np.isfinite(vals[0]))
assert_(vals[1] == 0)
assert_all(vals[2] > 1e10) and assert_all(np.isfinite(vals[2]))
assert_equal(type(vals), np.ndarray)
# perform the same tests but with nan, posinf and neginf keywords
with np.errstate(divide='ignore', invalid='ignore'):
vals = nan_to_num(np.array((-1., 0, 1))/0.,
nan=10, posinf=20, neginf=30)
assert_equal(vals, [30, 10, 20])
assert_all(np.isfinite(vals[[0, 2]]))
assert_equal(type(vals), np.ndarray)
# perform the same test but in-place
with np.errstate(divide='ignore', invalid='ignore'):
vals = np.array((-1., 0, 1))/0.
result = nan_to_num(vals, copy=False)
assert_(result is vals)
assert_all(vals[0] < -1e10) and assert_all(np.isfinite(vals[0]))
assert_(vals[1] == 0)
assert_all(vals[2] > 1e10) and assert_all(np.isfinite(vals[2]))
assert_equal(type(vals), np.ndarray)
# perform the same test but in-place
with np.errstate(divide='ignore', invalid='ignore'):
vals = np.array((-1., 0, 1))/0.
result = nan_to_num(vals, copy=False, nan=10, posinf=20, neginf=30)
assert_(result is vals)
assert_equal(vals, [30, 10, 20])
assert_all(np.isfinite(vals[[0, 2]]))
assert_equal(type(vals), np.ndarray)
def test_array(self):
vals = nan_to_num([1])
assert_array_equal(vals, np.array([1], int))
assert_equal(type(vals), np.ndarray)
vals = nan_to_num([1], nan=10, posinf=20, neginf=30)
assert_array_equal(vals, np.array([1], int))
assert_equal(type(vals), np.ndarray)
def test_integer(self):
vals = nan_to_num(1)
assert_all(vals == 1)
assert_equal(type(vals), np.int_)
vals = nan_to_num(1, nan=10, posinf=20, neginf=30)
assert_all(vals == 1)
assert_equal(type(vals), np.int_)
def test_float(self):
vals = nan_to_num(1.0)
assert_all(vals == 1.0)
assert_equal(type(vals), np.float_)
vals = nan_to_num(1.1, nan=10, posinf=20, neginf=30)
assert_all(vals == 1.1)
assert_equal(type(vals), np.float_)
def test_complex_good(self):
vals = nan_to_num(1+1j)
assert_all(vals == 1+1j)
assert_equal(type(vals), np.complex_)
vals = nan_to_num(1+1j, nan=10, posinf=20, neginf=30)
assert_all(vals == 1+1j)
assert_equal(type(vals), np.complex_)
def test_complex_bad(self):
with np.errstate(divide='ignore', invalid='ignore'):
v = 1 + 1j
v += np.array(0+1.j)/0.
vals = nan_to_num(v)
# !! This is actually (unexpectedly) zero
assert_all(np.isfinite(vals))
assert_equal(type(vals), np.complex_)
def test_complex_bad2(self):
with np.errstate(divide='ignore', invalid='ignore'):
v = 1 + 1j
v += np.array(-1+1.j)/0.
vals = nan_to_num(v)
assert_all(np.isfinite(vals))
assert_equal(type(vals), np.complex_)
# Fixme
#assert_all(vals.imag > 1e10) and assert_all(np.isfinite(vals))
# !! This is actually (unexpectedly) positive
# !! inf. Comment out for now, and see if it
# !! changes
#assert_all(vals.real < -1e10) and assert_all(np.isfinite(vals))
def test_do_not_rewrite_previous_keyword(self):
# This is done to test that when, for instance, nan=np.inf then these
# values are not rewritten by posinf keyword to the posinf value.
with np.errstate(divide='ignore', invalid='ignore'):
vals = nan_to_num(np.array((-1., 0, 1))/0., nan=np.inf, posinf=999)
assert_all(np.isfinite(vals[[0, 2]]))
assert_all(vals[0] < -1e10)
assert_equal(vals[[1, 2]], [np.inf, 999])
assert_equal(type(vals), np.ndarray)
class TestRealIfClose:
def test_basic(self):
a = np.random.rand(10)
b = real_if_close(a+1e-15j)
assert_all(isrealobj(b))
assert_array_equal(a, b)
b = real_if_close(a+1e-7j)
assert_all(iscomplexobj(b))
b = real_if_close(a+1e-7j, tol=1e-6)
assert_all(isrealobj(b))
class TestArrayConversion:
def test_asfarray(self):
a = asfarray(np.array([1, 2, 3]))
assert_equal(a.__class__, np.ndarray)
assert_(np.issubdtype(a.dtype, np.floating))
# previously this would infer dtypes from arrays, unlike every single
# other numpy function
assert_raises(TypeError,
asfarray, np.array([1, 2, 3]), dtype=np.array(1.0))
@@ -0,0 +1,98 @@
import numpy as np
import numpy.core as nx
import numpy.lib.ufunclike as ufl
from numpy.testing import (
assert_, assert_equal, assert_array_equal, assert_warns, assert_raises
)
class TestUfunclike:
def test_isposinf(self):
a = nx.array([nx.inf, -nx.inf, nx.nan, 0.0, 3.0, -3.0])
out = nx.zeros(a.shape, bool)
tgt = nx.array([True, False, False, False, False, False])
res = ufl.isposinf(a)
assert_equal(res, tgt)
res = ufl.isposinf(a, out)
assert_equal(res, tgt)
assert_equal(out, tgt)
a = a.astype(np.complex_)
with assert_raises(TypeError):
ufl.isposinf(a)
def test_isneginf(self):
a = nx.array([nx.inf, -nx.inf, nx.nan, 0.0, 3.0, -3.0])
out = nx.zeros(a.shape, bool)
tgt = nx.array([False, True, False, False, False, False])
res = ufl.isneginf(a)
assert_equal(res, tgt)
res = ufl.isneginf(a, out)
assert_equal(res, tgt)
assert_equal(out, tgt)
a = a.astype(np.complex_)
with assert_raises(TypeError):
ufl.isneginf(a)
def test_fix(self):
a = nx.array([[1.0, 1.1, 1.5, 1.8], [-1.0, -1.1, -1.5, -1.8]])
out = nx.zeros(a.shape, float)
tgt = nx.array([[1., 1., 1., 1.], [-1., -1., -1., -1.]])
res = ufl.fix(a)
assert_equal(res, tgt)
res = ufl.fix(a, out)
assert_equal(res, tgt)
assert_equal(out, tgt)
assert_equal(ufl.fix(3.14), 3)
def test_fix_with_subclass(self):
class MyArray(nx.ndarray):
def __new__(cls, data, metadata=None):
res = nx.array(data, copy=True).view(cls)
res.metadata = metadata
return res
def __array_wrap__(self, obj, context=None):
if isinstance(obj, MyArray):
obj.metadata = self.metadata
return obj
def __array_finalize__(self, obj):
self.metadata = getattr(obj, 'metadata', None)
return self
a = nx.array([1.1, -1.1])
m = MyArray(a, metadata='foo')
f = ufl.fix(m)
assert_array_equal(f, nx.array([1, -1]))
assert_(isinstance(f, MyArray))
assert_equal(f.metadata, 'foo')
# check 0d arrays don't decay to scalars
m0d = m[0,...]
m0d.metadata = 'bar'
f0d = ufl.fix(m0d)
assert_(isinstance(f0d, MyArray))
assert_equal(f0d.metadata, 'bar')
def test_scalar(self):
x = np.inf
actual = np.isposinf(x)
expected = np.True_
assert_equal(actual, expected)
assert_equal(type(actual), type(expected))
x = -3.4
actual = np.fix(x)
expected = np.float64(-3.0)
assert_equal(actual, expected)
assert_equal(type(actual), type(expected))
out = np.array(0.0)
actual = np.fix(x, out=out)
assert_(actual is out)
@@ -0,0 +1,228 @@
import inspect
import sys
import pytest
import numpy as np
from numpy.core import arange
from numpy.testing import assert_, assert_equal, assert_raises_regex
from numpy.lib import deprecate, deprecate_with_doc
import numpy.lib.utils as utils
from io import StringIO
@pytest.mark.skipif(sys.flags.optimize == 2, reason="Python running -OO")
@pytest.mark.skipif(
sys.version_info == (3, 10, 0, "candidate", 1),
reason="Broken as of bpo-44524",
)
def test_lookfor():
out = StringIO()
utils.lookfor('eigenvalue', module='numpy', output=out,
import_modules=False)
out = out.getvalue()
assert_('numpy.linalg.eig' in out)
@deprecate
def old_func(self, x):
return x
@deprecate(message="Rather use new_func2")
def old_func2(self, x):
return x
def old_func3(self, x):
return x
new_func3 = deprecate(old_func3, old_name="old_func3", new_name="new_func3")
def old_func4(self, x):
"""Summary.
Further info.
"""
return x
new_func4 = deprecate(old_func4)
def old_func5(self, x):
"""Summary.
Bizarre indentation.
"""
return x
new_func5 = deprecate(old_func5, message="This function is\ndeprecated.")
def old_func6(self, x):
"""
Also in PEP-257.
"""
return x
new_func6 = deprecate(old_func6)
@deprecate_with_doc(msg="Rather use new_func7")
def old_func7(self,x):
return x
def test_deprecate_decorator():
assert_('deprecated' in old_func.__doc__)
def test_deprecate_decorator_message():
assert_('Rather use new_func2' in old_func2.__doc__)
def test_deprecate_fn():
assert_('old_func3' in new_func3.__doc__)
assert_('new_func3' in new_func3.__doc__)
def test_deprecate_with_doc_decorator_message():
assert_('Rather use new_func7' in old_func7.__doc__)
@pytest.mark.skipif(sys.flags.optimize == 2, reason="-OO discards docstrings")
@pytest.mark.parametrize('old_func, new_func', [
(old_func4, new_func4),
(old_func5, new_func5),
(old_func6, new_func6),
])
def test_deprecate_help_indentation(old_func, new_func):
_compare_docs(old_func, new_func)
# Ensure we don't mess up the indentation
for knd, func in (('old', old_func), ('new', new_func)):
for li, line in enumerate(func.__doc__.split('\n')):
if li == 0:
assert line.startswith(' ') or not line.startswith(' '), knd
elif line:
assert line.startswith(' '), knd
def _compare_docs(old_func, new_func):
old_doc = inspect.getdoc(old_func)
new_doc = inspect.getdoc(new_func)
index = new_doc.index('\n\n') + 2
assert_equal(new_doc[index:], old_doc)
@pytest.mark.skipif(sys.flags.optimize == 2, reason="-OO discards docstrings")
def test_deprecate_preserve_whitespace():
assert_('\n Bizarre' in new_func5.__doc__)
def test_deprecate_module():
assert_(old_func.__module__ == __name__)
def test_safe_eval_nameconstant():
# Test if safe_eval supports Python 3.4 _ast.NameConstant
utils.safe_eval('None')
class TestByteBounds:
def test_byte_bounds(self):
# pointer difference matches size * itemsize
# due to contiguity
a = arange(12).reshape(3, 4)
low, high = utils.byte_bounds(a)
assert_equal(high - low, a.size * a.itemsize)
def test_unusual_order_positive_stride(self):
a = arange(12).reshape(3, 4)
b = a.T
low, high = utils.byte_bounds(b)
assert_equal(high - low, b.size * b.itemsize)
def test_unusual_order_negative_stride(self):
a = arange(12).reshape(3, 4)
b = a.T[::-1]
low, high = utils.byte_bounds(b)
assert_equal(high - low, b.size * b.itemsize)
def test_strided(self):
a = arange(12)
b = a[::2]
low, high = utils.byte_bounds(b)
# the largest pointer address is lost (even numbers only in the
# stride), and compensate addresses for striding by 2
assert_equal(high - low, b.size * 2 * b.itemsize - b.itemsize)
def test_assert_raises_regex_context_manager():
with assert_raises_regex(ValueError, 'no deprecation warning'):
raise ValueError('no deprecation warning')
def test_info_method_heading():
# info(class) should only print "Methods:" heading if methods exist
class NoPublicMethods:
pass
class WithPublicMethods:
def first_method():
pass
def _has_method_heading(cls):
out = StringIO()
utils.info(cls, output=out)
return 'Methods:' in out.getvalue()
assert _has_method_heading(WithPublicMethods)
assert not _has_method_heading(NoPublicMethods)
def test_drop_metadata():
def _compare_dtypes(dt1, dt2):
return np.can_cast(dt1, dt2, casting='no')
# structured dtype
dt = np.dtype([('l1', [('l2', np.dtype('S8', metadata={'msg': 'toto'}))])],
metadata={'msg': 'titi'})
dt_m = utils.drop_metadata(dt)
assert _compare_dtypes(dt, dt_m) is True
assert dt_m.metadata is None
assert dt_m['l1'].metadata is None
assert dt_m['l1']['l2'].metadata is None
# alignement
dt = np.dtype([('x', '<f8'), ('y', '<i4')],
align=True,
metadata={'msg': 'toto'})
dt_m = utils.drop_metadata(dt)
assert _compare_dtypes(dt, dt_m) is True
assert dt_m.metadata is None
# subdtype
dt = np.dtype('8f',
metadata={'msg': 'toto'})
dt_m = utils.drop_metadata(dt)
assert _compare_dtypes(dt, dt_m) is True
assert dt_m.metadata is None
# scalar
dt = np.dtype('uint32',
metadata={'msg': 'toto'})
dt_m = utils.drop_metadata(dt)
assert _compare_dtypes(dt, dt_m) is True
assert dt_m.metadata is None
@pytest.mark.parametrize("dtype",
[np.dtype("i,i,i,i")[["f1", "f3"]],
np.dtype("f8"),
np.dtype("10i")])
def test_drop_metadata_identity_and_copy(dtype):
# If there is no metadata, the identity is preserved:
assert utils.drop_metadata(dtype) is dtype
# If there is any, it is dropped (subforms are checked above)
dtype = np.dtype(dtype, metadata={1: 2})
assert utils.drop_metadata(dtype).metadata is None
File diff suppressed because it is too large Load Diff
@@ -0,0 +1,239 @@
from collections.abc import Callable, Sequence
from typing import (
Any,
overload,
TypeVar,
Union,
)
from numpy import (
generic,
number,
bool_,
timedelta64,
datetime64,
int_,
intp,
float64,
signedinteger,
floating,
complexfloating,
object_,
_OrderCF,
)
from numpy._typing import (
DTypeLike,
_DTypeLike,
ArrayLike,
_ArrayLike,
NDArray,
_SupportsArrayFunc,
_ArrayLikeInt_co,
_ArrayLikeFloat_co,
_ArrayLikeComplex_co,
_ArrayLikeObject_co,
)
_T = TypeVar("_T")
_SCT = TypeVar("_SCT", bound=generic)
# The returned arrays dtype must be compatible with `np.equal`
_MaskFunc = Callable[
[NDArray[int_], _T],
NDArray[Union[number[Any], bool_, timedelta64, datetime64, object_]],
]
__all__: list[str]
@overload
def fliplr(m: _ArrayLike[_SCT]) -> NDArray[_SCT]: ...
@overload
def fliplr(m: ArrayLike) -> NDArray[Any]: ...
@overload
def flipud(m: _ArrayLike[_SCT]) -> NDArray[_SCT]: ...
@overload
def flipud(m: ArrayLike) -> NDArray[Any]: ...
@overload
def eye(
N: int,
M: None | int = ...,
k: int = ...,
dtype: None = ...,
order: _OrderCF = ...,
*,
like: None | _SupportsArrayFunc = ...,
) -> NDArray[float64]: ...
@overload
def eye(
N: int,
M: None | int = ...,
k: int = ...,
dtype: _DTypeLike[_SCT] = ...,
order: _OrderCF = ...,
*,
like: None | _SupportsArrayFunc = ...,
) -> NDArray[_SCT]: ...
@overload
def eye(
N: int,
M: None | int = ...,
k: int = ...,
dtype: DTypeLike = ...,
order: _OrderCF = ...,
*,
like: None | _SupportsArrayFunc = ...,
) -> NDArray[Any]: ...
@overload
def diag(v: _ArrayLike[_SCT], k: int = ...) -> NDArray[_SCT]: ...
@overload
def diag(v: ArrayLike, k: int = ...) -> NDArray[Any]: ...
@overload
def diagflat(v: _ArrayLike[_SCT], k: int = ...) -> NDArray[_SCT]: ...
@overload
def diagflat(v: ArrayLike, k: int = ...) -> NDArray[Any]: ...
@overload
def tri(
N: int,
M: None | int = ...,
k: int = ...,
dtype: None = ...,
*,
like: None | _SupportsArrayFunc = ...
) -> NDArray[float64]: ...
@overload
def tri(
N: int,
M: None | int = ...,
k: int = ...,
dtype: _DTypeLike[_SCT] = ...,
*,
like: None | _SupportsArrayFunc = ...
) -> NDArray[_SCT]: ...
@overload
def tri(
N: int,
M: None | int = ...,
k: int = ...,
dtype: DTypeLike = ...,
*,
like: None | _SupportsArrayFunc = ...
) -> NDArray[Any]: ...
@overload
def tril(v: _ArrayLike[_SCT], k: int = ...) -> NDArray[_SCT]: ...
@overload
def tril(v: ArrayLike, k: int = ...) -> NDArray[Any]: ...
@overload
def triu(v: _ArrayLike[_SCT], k: int = ...) -> NDArray[_SCT]: ...
@overload
def triu(v: ArrayLike, k: int = ...) -> NDArray[Any]: ...
@overload
def vander( # type: ignore[misc]
x: _ArrayLikeInt_co,
N: None | int = ...,
increasing: bool = ...,
) -> NDArray[signedinteger[Any]]: ...
@overload
def vander( # type: ignore[misc]
x: _ArrayLikeFloat_co,
N: None | int = ...,
increasing: bool = ...,
) -> NDArray[floating[Any]]: ...
@overload
def vander(
x: _ArrayLikeComplex_co,
N: None | int = ...,
increasing: bool = ...,
) -> NDArray[complexfloating[Any, Any]]: ...
@overload
def vander(
x: _ArrayLikeObject_co,
N: None | int = ...,
increasing: bool = ...,
) -> NDArray[object_]: ...
@overload
def histogram2d( # type: ignore[misc]
x: _ArrayLikeFloat_co,
y: _ArrayLikeFloat_co,
bins: int | Sequence[int] = ...,
range: None | _ArrayLikeFloat_co = ...,
density: None | bool = ...,
weights: None | _ArrayLikeFloat_co = ...,
) -> tuple[
NDArray[float64],
NDArray[floating[Any]],
NDArray[floating[Any]],
]: ...
@overload
def histogram2d(
x: _ArrayLikeComplex_co,
y: _ArrayLikeComplex_co,
bins: int | Sequence[int] = ...,
range: None | _ArrayLikeFloat_co = ...,
density: None | bool = ...,
weights: None | _ArrayLikeFloat_co = ...,
) -> tuple[
NDArray[float64],
NDArray[complexfloating[Any, Any]],
NDArray[complexfloating[Any, Any]],
]: ...
@overload # TODO: Sort out `bins`
def histogram2d(
x: _ArrayLikeComplex_co,
y: _ArrayLikeComplex_co,
bins: Sequence[_ArrayLikeInt_co],
range: None | _ArrayLikeFloat_co = ...,
density: None | bool = ...,
weights: None | _ArrayLikeFloat_co = ...,
) -> tuple[
NDArray[float64],
NDArray[Any],
NDArray[Any],
]: ...
# NOTE: we're assuming/demanding here the `mask_func` returns
# an ndarray of shape `(n, n)`; otherwise there is the possibility
# of the output tuple having more or less than 2 elements
@overload
def mask_indices(
n: int,
mask_func: _MaskFunc[int],
k: int = ...,
) -> tuple[NDArray[intp], NDArray[intp]]: ...
@overload
def mask_indices(
n: int,
mask_func: _MaskFunc[_T],
k: _T,
) -> tuple[NDArray[intp], NDArray[intp]]: ...
def tril_indices(
n: int,
k: int = ...,
m: None | int = ...,
) -> tuple[NDArray[int_], NDArray[int_]]: ...
def tril_indices_from(
arr: NDArray[Any],
k: int = ...,
) -> tuple[NDArray[int_], NDArray[int_]]: ...
def triu_indices(
n: int,
k: int = ...,
m: None | int = ...,
) -> tuple[NDArray[int_], NDArray[int_]]: ...
def triu_indices_from(
arr: NDArray[Any],
k: int = ...,
) -> tuple[NDArray[int_], NDArray[int_]]: ...
@@ -0,0 +1,735 @@
"""Automatically adapted for numpy Sep 19, 2005 by convertcode.py
"""
import functools
__all__ = ['iscomplexobj', 'isrealobj', 'imag', 'iscomplex',
'isreal', 'nan_to_num', 'real', 'real_if_close',
'typename', 'asfarray', 'mintypecode',
'common_type']
from .._utils import set_module
import numpy.core.numeric as _nx
from numpy.core.numeric import asarray, asanyarray, isnan, zeros
from numpy.core import overrides, getlimits
from .ufunclike import isneginf, isposinf
array_function_dispatch = functools.partial(
overrides.array_function_dispatch, module='numpy')
_typecodes_by_elsize = 'GDFgdfQqLlIiHhBb?'
@set_module('numpy')
def mintypecode(typechars, typeset='GDFgdf', default='d'):
"""
Return the character for the minimum-size type to which given types can
be safely cast.
The returned type character must represent the smallest size dtype such
that an array of the returned type can handle the data from an array of
all types in `typechars` (or if `typechars` is an array, then its
dtype.char).
Parameters
----------
typechars : list of str or array_like
If a list of strings, each string should represent a dtype.
If array_like, the character representation of the array dtype is used.
typeset : str or list of str, optional
The set of characters that the returned character is chosen from.
The default set is 'GDFgdf'.
default : str, optional
The default character, this is returned if none of the characters in
`typechars` matches a character in `typeset`.
Returns
-------
typechar : str
The character representing the minimum-size type that was found.
See Also
--------
dtype, sctype2char, maximum_sctype
Examples
--------
>>> np.mintypecode(['d', 'f', 'S'])
'd'
>>> x = np.array([1.1, 2-3.j])
>>> np.mintypecode(x)
'D'
>>> np.mintypecode('abceh', default='G')
'G'
"""
typecodes = ((isinstance(t, str) and t) or asarray(t).dtype.char
for t in typechars)
intersection = set(t for t in typecodes if t in typeset)
if not intersection:
return default
if 'F' in intersection and 'd' in intersection:
return 'D'
return min(intersection, key=_typecodes_by_elsize.index)
def _asfarray_dispatcher(a, dtype=None):
return (a,)
@array_function_dispatch(_asfarray_dispatcher)
def asfarray(a, dtype=_nx.float_):
"""
Return an array converted to a float type.
Parameters
----------
a : array_like
The input array.
dtype : str or dtype object, optional
Float type code to coerce input array `a`. If `dtype` is one of the
'int' dtypes, it is replaced with float64.
Returns
-------
out : ndarray
The input `a` as a float ndarray.
Examples
--------
>>> np.asfarray([2, 3])
array([2., 3.])
>>> np.asfarray([2, 3], dtype='float')
array([2., 3.])
>>> np.asfarray([2, 3], dtype='int8')
array([2., 3.])
"""
if not _nx.issubdtype(dtype, _nx.inexact):
dtype = _nx.float_
return asarray(a, dtype=dtype)
def _real_dispatcher(val):
return (val,)
@array_function_dispatch(_real_dispatcher)
def real(val):
"""
Return the real part of the complex argument.
Parameters
----------
val : array_like
Input array.
Returns
-------
out : ndarray or scalar
The real component of the complex argument. If `val` is real, the type
of `val` is used for the output. If `val` has complex elements, the
returned type is float.
See Also
--------
real_if_close, imag, angle
Examples
--------
>>> a = np.array([1+2j, 3+4j, 5+6j])
>>> a.real
array([1., 3., 5.])
>>> a.real = 9
>>> a
array([9.+2.j, 9.+4.j, 9.+6.j])
>>> a.real = np.array([9, 8, 7])
>>> a
array([9.+2.j, 8.+4.j, 7.+6.j])
>>> np.real(1 + 1j)
1.0
"""
try:
return val.real
except AttributeError:
return asanyarray(val).real
def _imag_dispatcher(val):
return (val,)
@array_function_dispatch(_imag_dispatcher)
def imag(val):
"""
Return the imaginary part of the complex argument.
Parameters
----------
val : array_like
Input array.
Returns
-------
out : ndarray or scalar
The imaginary component of the complex argument. If `val` is real,
the type of `val` is used for the output. If `val` has complex
elements, the returned type is float.
See Also
--------
real, angle, real_if_close
Examples
--------
>>> a = np.array([1+2j, 3+4j, 5+6j])
>>> a.imag
array([2., 4., 6.])
>>> a.imag = np.array([8, 10, 12])
>>> a
array([1. +8.j, 3.+10.j, 5.+12.j])
>>> np.imag(1 + 1j)
1.0
"""
try:
return val.imag
except AttributeError:
return asanyarray(val).imag
def _is_type_dispatcher(x):
return (x,)
@array_function_dispatch(_is_type_dispatcher)
def iscomplex(x):
"""
Returns a bool array, where True if input element is complex.
What is tested is whether the input has a non-zero imaginary part, not if
the input type is complex.
Parameters
----------
x : array_like
Input array.
Returns
-------
out : ndarray of bools
Output array.
See Also
--------
isreal
iscomplexobj : Return True if x is a complex type or an array of complex
numbers.
Examples
--------
>>> np.iscomplex([1+1j, 1+0j, 4.5, 3, 2, 2j])
array([ True, False, False, False, False, True])
"""
ax = asanyarray(x)
if issubclass(ax.dtype.type, _nx.complexfloating):
return ax.imag != 0
res = zeros(ax.shape, bool)
return res[()] # convert to scalar if needed
@array_function_dispatch(_is_type_dispatcher)
def isreal(x):
"""
Returns a bool array, where True if input element is real.
If element has complex type with zero complex part, the return value
for that element is True.
Parameters
----------
x : array_like
Input array.
Returns
-------
out : ndarray, bool
Boolean array of same shape as `x`.
Notes
-----
`isreal` may behave unexpectedly for string or object arrays (see examples)
See Also
--------
iscomplex
isrealobj : Return True if x is not a complex type.
Examples
--------
>>> a = np.array([1+1j, 1+0j, 4.5, 3, 2, 2j], dtype=complex)
>>> np.isreal(a)
array([False, True, True, True, True, False])
The function does not work on string arrays.
>>> a = np.array([2j, "a"], dtype="U")
>>> np.isreal(a) # Warns about non-elementwise comparison
False
Returns True for all elements in input array of ``dtype=object`` even if
any of the elements is complex.
>>> a = np.array([1, "2", 3+4j], dtype=object)
>>> np.isreal(a)
array([ True, True, True])
isreal should not be used with object arrays
>>> a = np.array([1+2j, 2+1j], dtype=object)
>>> np.isreal(a)
array([ True, True])
"""
return imag(x) == 0
@array_function_dispatch(_is_type_dispatcher)
def iscomplexobj(x):
"""
Check for a complex type or an array of complex numbers.
The type of the input is checked, not the value. Even if the input
has an imaginary part equal to zero, `iscomplexobj` evaluates to True.
Parameters
----------
x : any
The input can be of any type and shape.
Returns
-------
iscomplexobj : bool
The return value, True if `x` is of a complex type or has at least
one complex element.
See Also
--------
isrealobj, iscomplex
Examples
--------
>>> np.iscomplexobj(1)
False
>>> np.iscomplexobj(1+0j)
True
>>> np.iscomplexobj([3, 1+0j, True])
True
"""
try:
dtype = x.dtype
type_ = dtype.type
except AttributeError:
type_ = asarray(x).dtype.type
return issubclass(type_, _nx.complexfloating)
@array_function_dispatch(_is_type_dispatcher)
def isrealobj(x):
"""
Return True if x is a not complex type or an array of complex numbers.
The type of the input is checked, not the value. So even if the input
has an imaginary part equal to zero, `isrealobj` evaluates to False
if the data type is complex.
Parameters
----------
x : any
The input can be of any type and shape.
Returns
-------
y : bool
The return value, False if `x` is of a complex type.
See Also
--------
iscomplexobj, isreal
Notes
-----
The function is only meant for arrays with numerical values but it
accepts all other objects. Since it assumes array input, the return
value of other objects may be True.
>>> np.isrealobj('A string')
True
>>> np.isrealobj(False)
True
>>> np.isrealobj(None)
True
Examples
--------
>>> np.isrealobj(1)
True
>>> np.isrealobj(1+0j)
False
>>> np.isrealobj([3, 1+0j, True])
False
"""
return not iscomplexobj(x)
#-----------------------------------------------------------------------------
def _getmaxmin(t):
from numpy.core import getlimits
f = getlimits.finfo(t)
return f.max, f.min
def _nan_to_num_dispatcher(x, copy=None, nan=None, posinf=None, neginf=None):
return (x,)
@array_function_dispatch(_nan_to_num_dispatcher)
def nan_to_num(x, copy=True, nan=0.0, posinf=None, neginf=None):
"""
Replace NaN with zero and infinity with large finite numbers (default
behaviour) or with the numbers defined by the user using the `nan`,
`posinf` and/or `neginf` keywords.
If `x` is inexact, NaN is replaced by zero or by the user defined value in
`nan` keyword, infinity is replaced by the largest finite floating point
values representable by ``x.dtype`` or by the user defined value in
`posinf` keyword and -infinity is replaced by the most negative finite
floating point values representable by ``x.dtype`` or by the user defined
value in `neginf` keyword.
For complex dtypes, the above is applied to each of the real and
imaginary components of `x` separately.
If `x` is not inexact, then no replacements are made.
Parameters
----------
x : scalar or array_like
Input data.
copy : bool, optional
Whether to create a copy of `x` (True) or to replace values
in-place (False). The in-place operation only occurs if
casting to an array does not require a copy.
Default is True.
.. versionadded:: 1.13
nan : int, float, optional
Value to be used to fill NaN values. If no value is passed
then NaN values will be replaced with 0.0.
.. versionadded:: 1.17
posinf : int, float, optional
Value to be used to fill positive infinity values. If no value is
passed then positive infinity values will be replaced with a very
large number.
.. versionadded:: 1.17
neginf : int, float, optional
Value to be used to fill negative infinity values. If no value is
passed then negative infinity values will be replaced with a very
small (or negative) number.
.. versionadded:: 1.17
Returns
-------
out : ndarray
`x`, with the non-finite values replaced. If `copy` is False, this may
be `x` itself.
See Also
--------
isinf : Shows which elements are positive or negative infinity.
isneginf : Shows which elements are negative infinity.
isposinf : Shows which elements are positive infinity.
isnan : Shows which elements are Not a Number (NaN).
isfinite : Shows which elements are finite (not NaN, not infinity)
Notes
-----
NumPy uses the IEEE Standard for Binary Floating-Point for Arithmetic
(IEEE 754). This means that Not a Number is not equivalent to infinity.
Examples
--------
>>> np.nan_to_num(np.inf)
1.7976931348623157e+308
>>> np.nan_to_num(-np.inf)
-1.7976931348623157e+308
>>> np.nan_to_num(np.nan)
0.0
>>> x = np.array([np.inf, -np.inf, np.nan, -128, 128])
>>> np.nan_to_num(x)
array([ 1.79769313e+308, -1.79769313e+308, 0.00000000e+000, # may vary
-1.28000000e+002, 1.28000000e+002])
>>> np.nan_to_num(x, nan=-9999, posinf=33333333, neginf=33333333)
array([ 3.3333333e+07, 3.3333333e+07, -9.9990000e+03,
-1.2800000e+02, 1.2800000e+02])
>>> y = np.array([complex(np.inf, np.nan), np.nan, complex(np.nan, np.inf)])
array([ 1.79769313e+308, -1.79769313e+308, 0.00000000e+000, # may vary
-1.28000000e+002, 1.28000000e+002])
>>> np.nan_to_num(y)
array([ 1.79769313e+308 +0.00000000e+000j, # may vary
0.00000000e+000 +0.00000000e+000j,
0.00000000e+000 +1.79769313e+308j])
>>> np.nan_to_num(y, nan=111111, posinf=222222)
array([222222.+111111.j, 111111. +0.j, 111111.+222222.j])
"""
x = _nx.array(x, subok=True, copy=copy)
xtype = x.dtype.type
isscalar = (x.ndim == 0)
if not issubclass(xtype, _nx.inexact):
return x[()] if isscalar else x
iscomplex = issubclass(xtype, _nx.complexfloating)
dest = (x.real, x.imag) if iscomplex else (x,)
maxf, minf = _getmaxmin(x.real.dtype)
if posinf is not None:
maxf = posinf
if neginf is not None:
minf = neginf
for d in dest:
idx_nan = isnan(d)
idx_posinf = isposinf(d)
idx_neginf = isneginf(d)
_nx.copyto(d, nan, where=idx_nan)
_nx.copyto(d, maxf, where=idx_posinf)
_nx.copyto(d, minf, where=idx_neginf)
return x[()] if isscalar else x
#-----------------------------------------------------------------------------
def _real_if_close_dispatcher(a, tol=None):
return (a,)
@array_function_dispatch(_real_if_close_dispatcher)
def real_if_close(a, tol=100):
"""
If input is complex with all imaginary parts close to zero, return
real parts.
"Close to zero" is defined as `tol` * (machine epsilon of the type for
`a`).
Parameters
----------
a : array_like
Input array.
tol : float
Tolerance in machine epsilons for the complex part of the elements
in the array. If the tolerance is <=1, then the absolute tolerance
is used.
Returns
-------
out : ndarray
If `a` is real, the type of `a` is used for the output. If `a`
has complex elements, the returned type is float.
See Also
--------
real, imag, angle
Notes
-----
Machine epsilon varies from machine to machine and between data types
but Python floats on most platforms have a machine epsilon equal to
2.2204460492503131e-16. You can use 'np.finfo(float).eps' to print
out the machine epsilon for floats.
Examples
--------
>>> np.finfo(float).eps
2.2204460492503131e-16 # may vary
>>> np.real_if_close([2.1 + 4e-14j, 5.2 + 3e-15j], tol=1000)
array([2.1, 5.2])
>>> np.real_if_close([2.1 + 4e-13j, 5.2 + 3e-15j], tol=1000)
array([2.1+4.e-13j, 5.2 + 3e-15j])
"""
a = asanyarray(a)
type_ = a.dtype.type
if not issubclass(type_, _nx.complexfloating):
return a
if tol > 1:
f = getlimits.finfo(type_)
tol = f.eps * tol
if _nx.all(_nx.absolute(a.imag) < tol):
a = a.real
return a
#-----------------------------------------------------------------------------
_namefromtype = {'S1': 'character',
'?': 'bool',
'b': 'signed char',
'B': 'unsigned char',
'h': 'short',
'H': 'unsigned short',
'i': 'integer',
'I': 'unsigned integer',
'l': 'long integer',
'L': 'unsigned long integer',
'q': 'long long integer',
'Q': 'unsigned long long integer',
'f': 'single precision',
'd': 'double precision',
'g': 'long precision',
'F': 'complex single precision',
'D': 'complex double precision',
'G': 'complex long double precision',
'S': 'string',
'U': 'unicode',
'V': 'void',
'O': 'object'
}
@set_module('numpy')
def typename(char):
"""
Return a description for the given data type code.
Parameters
----------
char : str
Data type code.
Returns
-------
out : str
Description of the input data type code.
See Also
--------
dtype, typecodes
Examples
--------
>>> typechars = ['S1', '?', 'B', 'D', 'G', 'F', 'I', 'H', 'L', 'O', 'Q',
... 'S', 'U', 'V', 'b', 'd', 'g', 'f', 'i', 'h', 'l', 'q']
>>> for typechar in typechars:
... print(typechar, ' : ', np.typename(typechar))
...
S1 : character
? : bool
B : unsigned char
D : complex double precision
G : complex long double precision
F : complex single precision
I : unsigned integer
H : unsigned short
L : unsigned long integer
O : object
Q : unsigned long long integer
S : string
U : unicode
V : void
b : signed char
d : double precision
g : long precision
f : single precision
i : integer
h : short
l : long integer
q : long long integer
"""
return _namefromtype[char]
#-----------------------------------------------------------------------------
#determine the "minimum common type" for a group of arrays.
array_type = [[_nx.half, _nx.single, _nx.double, _nx.longdouble],
[None, _nx.csingle, _nx.cdouble, _nx.clongdouble]]
array_precision = {_nx.half: 0,
_nx.single: 1,
_nx.double: 2,
_nx.longdouble: 3,
_nx.csingle: 1,
_nx.cdouble: 2,
_nx.clongdouble: 3}
def _common_type_dispatcher(*arrays):
return arrays
@array_function_dispatch(_common_type_dispatcher)
def common_type(*arrays):
"""
Return a scalar type which is common to the input arrays.
The return type will always be an inexact (i.e. floating point) scalar
type, even if all the arrays are integer arrays. If one of the inputs is
an integer array, the minimum precision type that is returned is a
64-bit floating point dtype.
All input arrays except int64 and uint64 can be safely cast to the
returned dtype without loss of information.
Parameters
----------
array1, array2, ... : ndarrays
Input arrays.
Returns
-------
out : data type code
Data type code.
See Also
--------
dtype, mintypecode
Examples
--------
>>> np.common_type(np.arange(2, dtype=np.float32))
<class 'numpy.float32'>
>>> np.common_type(np.arange(2, dtype=np.float32), np.arange(2))
<class 'numpy.float64'>
>>> np.common_type(np.arange(4), np.array([45, 6.j]), np.array([45.0]))
<class 'numpy.complex128'>
"""
is_complex = False
precision = 0
for a in arrays:
t = a.dtype.type
if iscomplexobj(a):
is_complex = True
if issubclass(t, _nx.integer):
p = 2 # array_precision[_nx.double]
else:
p = array_precision.get(t, None)
if p is None:
raise TypeError("can't get common type for non-numeric array")
precision = max(precision, p)
if is_complex:
return array_type[1][precision]
else:
return array_type[0][precision]
@@ -0,0 +1,222 @@
from collections.abc import Container, Iterable
from typing import (
Literal as L,
Any,
overload,
TypeVar,
Protocol,
)
from numpy import (
dtype,
generic,
bool_,
floating,
float64,
complexfloating,
integer,
)
from numpy._typing import (
ArrayLike,
DTypeLike,
NBitBase,
NDArray,
_64Bit,
_SupportsDType,
_ScalarLike_co,
_ArrayLike,
_DTypeLikeComplex,
)
_T = TypeVar("_T")
_T_co = TypeVar("_T_co", covariant=True)
_SCT = TypeVar("_SCT", bound=generic)
_NBit1 = TypeVar("_NBit1", bound=NBitBase)
_NBit2 = TypeVar("_NBit2", bound=NBitBase)
class _SupportsReal(Protocol[_T_co]):
@property
def real(self) -> _T_co: ...
class _SupportsImag(Protocol[_T_co]):
@property
def imag(self) -> _T_co: ...
__all__: list[str]
def mintypecode(
typechars: Iterable[str | ArrayLike],
typeset: Container[str] = ...,
default: str = ...,
) -> str: ...
# `asfarray` ignores dtypes if they're not inexact
@overload
def asfarray(
a: object,
dtype: None | type[float] = ...,
) -> NDArray[float64]: ...
@overload
def asfarray( # type: ignore[misc]
a: Any,
dtype: _DTypeLikeComplex,
) -> NDArray[complexfloating[Any, Any]]: ...
@overload
def asfarray(
a: Any,
dtype: DTypeLike,
) -> NDArray[floating[Any]]: ...
@overload
def real(val: _SupportsReal[_T]) -> _T: ...
@overload
def real(val: ArrayLike) -> NDArray[Any]: ...
@overload
def imag(val: _SupportsImag[_T]) -> _T: ...
@overload
def imag(val: ArrayLike) -> NDArray[Any]: ...
@overload
def iscomplex(x: _ScalarLike_co) -> bool_: ... # type: ignore[misc]
@overload
def iscomplex(x: ArrayLike) -> NDArray[bool_]: ...
@overload
def isreal(x: _ScalarLike_co) -> bool_: ... # type: ignore[misc]
@overload
def isreal(x: ArrayLike) -> NDArray[bool_]: ...
def iscomplexobj(x: _SupportsDType[dtype[Any]] | ArrayLike) -> bool: ...
def isrealobj(x: _SupportsDType[dtype[Any]] | ArrayLike) -> bool: ...
@overload
def nan_to_num( # type: ignore[misc]
x: _SCT,
copy: bool = ...,
nan: float = ...,
posinf: None | float = ...,
neginf: None | float = ...,
) -> _SCT: ...
@overload
def nan_to_num(
x: _ScalarLike_co,
copy: bool = ...,
nan: float = ...,
posinf: None | float = ...,
neginf: None | float = ...,
) -> Any: ...
@overload
def nan_to_num(
x: _ArrayLike[_SCT],
copy: bool = ...,
nan: float = ...,
posinf: None | float = ...,
neginf: None | float = ...,
) -> NDArray[_SCT]: ...
@overload
def nan_to_num(
x: ArrayLike,
copy: bool = ...,
nan: float = ...,
posinf: None | float = ...,
neginf: None | float = ...,
) -> NDArray[Any]: ...
# If one passes a complex array to `real_if_close`, then one is reasonably
# expected to verify the output dtype (so we can return an unsafe union here)
@overload
def real_if_close( # type: ignore[misc]
a: _ArrayLike[complexfloating[_NBit1, _NBit1]],
tol: float = ...,
) -> NDArray[floating[_NBit1]] | NDArray[complexfloating[_NBit1, _NBit1]]: ...
@overload
def real_if_close(
a: _ArrayLike[_SCT],
tol: float = ...,
) -> NDArray[_SCT]: ...
@overload
def real_if_close(
a: ArrayLike,
tol: float = ...,
) -> NDArray[Any]: ...
@overload
def typename(char: L['S1']) -> L['character']: ...
@overload
def typename(char: L['?']) -> L['bool']: ...
@overload
def typename(char: L['b']) -> L['signed char']: ...
@overload
def typename(char: L['B']) -> L['unsigned char']: ...
@overload
def typename(char: L['h']) -> L['short']: ...
@overload
def typename(char: L['H']) -> L['unsigned short']: ...
@overload
def typename(char: L['i']) -> L['integer']: ...
@overload
def typename(char: L['I']) -> L['unsigned integer']: ...
@overload
def typename(char: L['l']) -> L['long integer']: ...
@overload
def typename(char: L['L']) -> L['unsigned long integer']: ...
@overload
def typename(char: L['q']) -> L['long long integer']: ...
@overload
def typename(char: L['Q']) -> L['unsigned long long integer']: ...
@overload
def typename(char: L['f']) -> L['single precision']: ...
@overload
def typename(char: L['d']) -> L['double precision']: ...
@overload
def typename(char: L['g']) -> L['long precision']: ...
@overload
def typename(char: L['F']) -> L['complex single precision']: ...
@overload
def typename(char: L['D']) -> L['complex double precision']: ...
@overload
def typename(char: L['G']) -> L['complex long double precision']: ...
@overload
def typename(char: L['S']) -> L['string']: ...
@overload
def typename(char: L['U']) -> L['unicode']: ...
@overload
def typename(char: L['V']) -> L['void']: ...
@overload
def typename(char: L['O']) -> L['object']: ...
@overload
def common_type( # type: ignore[misc]
*arrays: _SupportsDType[dtype[
integer[Any]
]]
) -> type[floating[_64Bit]]: ...
@overload
def common_type( # type: ignore[misc]
*arrays: _SupportsDType[dtype[
floating[_NBit1]
]]
) -> type[floating[_NBit1]]: ...
@overload
def common_type( # type: ignore[misc]
*arrays: _SupportsDType[dtype[
integer[Any] | floating[_NBit1]
]]
) -> type[floating[_NBit1 | _64Bit]]: ...
@overload
def common_type( # type: ignore[misc]
*arrays: _SupportsDType[dtype[
floating[_NBit1] | complexfloating[_NBit2, _NBit2]
]]
) -> type[complexfloating[_NBit1 | _NBit2, _NBit1 | _NBit2]]: ...
@overload
def common_type(
*arrays: _SupportsDType[dtype[
integer[Any] | floating[_NBit1] | complexfloating[_NBit2, _NBit2]
]]
) -> type[complexfloating[_64Bit | _NBit1 | _NBit2, _64Bit | _NBit1 | _NBit2]]: ...
@@ -0,0 +1,210 @@
"""
Module of functions that are like ufuncs in acting on arrays and optionally
storing results in an output array.
"""
__all__ = ['fix', 'isneginf', 'isposinf']
import numpy.core.numeric as nx
from numpy.core.overrides import array_function_dispatch
import warnings
import functools
def _dispatcher(x, out=None):
return (x, out)
@array_function_dispatch(_dispatcher, verify=False, module='numpy')
def fix(x, out=None):
"""
Round to nearest integer towards zero.
Round an array of floats element-wise to nearest integer towards zero.
The rounded values are returned as floats.
Parameters
----------
x : array_like
An array of floats to be rounded
out : ndarray, optional
A location into which the result is stored. If provided, it must have
a shape that the input broadcasts to. If not provided or None, a
freshly-allocated array is returned.
Returns
-------
out : ndarray of floats
A float array with the same dimensions as the input.
If second argument is not supplied then a float array is returned
with the rounded values.
If a second argument is supplied the result is stored there.
The return value `out` is then a reference to that array.
See Also
--------
rint, trunc, floor, ceil
around : Round to given number of decimals
Examples
--------
>>> np.fix(3.14)
3.0
>>> np.fix(3)
3.0
>>> np.fix([2.1, 2.9, -2.1, -2.9])
array([ 2., 2., -2., -2.])
"""
# promote back to an array if flattened
res = nx.asanyarray(nx.ceil(x, out=out))
res = nx.floor(x, out=res, where=nx.greater_equal(x, 0))
# when no out argument is passed and no subclasses are involved, flatten
# scalars
if out is None and type(res) is nx.ndarray:
res = res[()]
return res
@array_function_dispatch(_dispatcher, verify=False, module='numpy')
def isposinf(x, out=None):
"""
Test element-wise for positive infinity, return result as bool array.
Parameters
----------
x : array_like
The input array.
out : array_like, optional
A location into which the result is stored. If provided, it must have a
shape that the input broadcasts to. If not provided or None, a
freshly-allocated boolean array is returned.
Returns
-------
out : ndarray
A boolean array with the same dimensions as the input.
If second argument is not supplied then a boolean array is returned
with values True where the corresponding element of the input is
positive infinity and values False where the element of the input is
not positive infinity.
If a second argument is supplied the result is stored there. If the
type of that array is a numeric type the result is represented as zeros
and ones, if the type is boolean then as False and True.
The return value `out` is then a reference to that array.
See Also
--------
isinf, isneginf, isfinite, isnan
Notes
-----
NumPy uses the IEEE Standard for Binary Floating-Point for Arithmetic
(IEEE 754).
Errors result if the second argument is also supplied when x is a scalar
input, if first and second arguments have different shapes, or if the
first argument has complex values
Examples
--------
>>> np.isposinf(np.PINF)
True
>>> np.isposinf(np.inf)
True
>>> np.isposinf(np.NINF)
False
>>> np.isposinf([-np.inf, 0., np.inf])
array([False, False, True])
>>> x = np.array([-np.inf, 0., np.inf])
>>> y = np.array([2, 2, 2])
>>> np.isposinf(x, y)
array([0, 0, 1])
>>> y
array([0, 0, 1])
"""
is_inf = nx.isinf(x)
try:
signbit = ~nx.signbit(x)
except TypeError as e:
dtype = nx.asanyarray(x).dtype
raise TypeError(f'This operation is not supported for {dtype} values '
'because it would be ambiguous.') from e
else:
return nx.logical_and(is_inf, signbit, out)
@array_function_dispatch(_dispatcher, verify=False, module='numpy')
def isneginf(x, out=None):
"""
Test element-wise for negative infinity, return result as bool array.
Parameters
----------
x : array_like
The input array.
out : array_like, optional
A location into which the result is stored. If provided, it must have a
shape that the input broadcasts to. If not provided or None, a
freshly-allocated boolean array is returned.
Returns
-------
out : ndarray
A boolean array with the same dimensions as the input.
If second argument is not supplied then a numpy boolean array is
returned with values True where the corresponding element of the
input is negative infinity and values False where the element of
the input is not negative infinity.
If a second argument is supplied the result is stored there. If the
type of that array is a numeric type the result is represented as
zeros and ones, if the type is boolean then as False and True. The
return value `out` is then a reference to that array.
See Also
--------
isinf, isposinf, isnan, isfinite
Notes
-----
NumPy uses the IEEE Standard for Binary Floating-Point for Arithmetic
(IEEE 754).
Errors result if the second argument is also supplied when x is a scalar
input, if first and second arguments have different shapes, or if the
first argument has complex values.
Examples
--------
>>> np.isneginf(np.NINF)
True
>>> np.isneginf(np.inf)
False
>>> np.isneginf(np.PINF)
False
>>> np.isneginf([-np.inf, 0., np.inf])
array([ True, False, False])
>>> x = np.array([-np.inf, 0., np.inf])
>>> y = np.array([2, 2, 2])
>>> np.isneginf(x, y)
array([1, 0, 0])
>>> y
array([1, 0, 0])
"""
is_inf = nx.isinf(x)
try:
signbit = nx.signbit(x)
except TypeError as e:
dtype = nx.asanyarray(x).dtype
raise TypeError(f'This operation is not supported for {dtype} values '
'because it would be ambiguous.') from e
else:
return nx.logical_and(is_inf, signbit, out)
@@ -0,0 +1,66 @@
from typing import Any, overload, TypeVar
from numpy import floating, bool_, object_, ndarray
from numpy._typing import (
NDArray,
_FloatLike_co,
_ArrayLikeFloat_co,
_ArrayLikeObject_co,
)
_ArrayType = TypeVar("_ArrayType", bound=ndarray[Any, Any])
__all__: list[str]
@overload
def fix( # type: ignore[misc]
x: _FloatLike_co,
out: None = ...,
) -> floating[Any]: ...
@overload
def fix(
x: _ArrayLikeFloat_co,
out: None = ...,
) -> NDArray[floating[Any]]: ...
@overload
def fix(
x: _ArrayLikeObject_co,
out: None = ...,
) -> NDArray[object_]: ...
@overload
def fix(
x: _ArrayLikeFloat_co | _ArrayLikeObject_co,
out: _ArrayType,
) -> _ArrayType: ...
@overload
def isposinf( # type: ignore[misc]
x: _FloatLike_co,
out: None = ...,
) -> bool_: ...
@overload
def isposinf(
x: _ArrayLikeFloat_co,
out: None = ...,
) -> NDArray[bool_]: ...
@overload
def isposinf(
x: _ArrayLikeFloat_co,
out: _ArrayType,
) -> _ArrayType: ...
@overload
def isneginf( # type: ignore[misc]
x: _FloatLike_co,
out: None = ...,
) -> bool_: ...
@overload
def isneginf(
x: _ArrayLikeFloat_co,
out: None = ...,
) -> NDArray[bool_]: ...
@overload
def isneginf(
x: _ArrayLikeFloat_co,
out: _ArrayType,
) -> _ArrayType: ...
@@ -0,0 +1,286 @@
"""
Standard container-class for easy multiple-inheritance.
Try to inherit from the ndarray instead of using this class as this is not
complete.
"""
from numpy.core import (
array, asarray, absolute, add, subtract, multiply, divide,
remainder, power, left_shift, right_shift, bitwise_and, bitwise_or,
bitwise_xor, invert, less, less_equal, not_equal, equal, greater,
greater_equal, shape, reshape, arange, sin, sqrt, transpose
)
class container:
"""
container(data, dtype=None, copy=True)
Standard container-class for easy multiple-inheritance.
Methods
-------
copy
tostring
byteswap
astype
"""
def __init__(self, data, dtype=None, copy=True):
self.array = array(data, dtype, copy=copy)
def __repr__(self):
if self.ndim > 0:
return self.__class__.__name__ + repr(self.array)[len("array"):]
else:
return self.__class__.__name__ + "(" + repr(self.array) + ")"
def __array__(self, t=None):
if t:
return self.array.astype(t)
return self.array
# Array as sequence
def __len__(self):
return len(self.array)
def __getitem__(self, index):
return self._rc(self.array[index])
def __setitem__(self, index, value):
self.array[index] = asarray(value, self.dtype)
def __abs__(self):
return self._rc(absolute(self.array))
def __neg__(self):
return self._rc(-self.array)
def __add__(self, other):
return self._rc(self.array + asarray(other))
__radd__ = __add__
def __iadd__(self, other):
add(self.array, other, self.array)
return self
def __sub__(self, other):
return self._rc(self.array - asarray(other))
def __rsub__(self, other):
return self._rc(asarray(other) - self.array)
def __isub__(self, other):
subtract(self.array, other, self.array)
return self
def __mul__(self, other):
return self._rc(multiply(self.array, asarray(other)))
__rmul__ = __mul__
def __imul__(self, other):
multiply(self.array, other, self.array)
return self
def __div__(self, other):
return self._rc(divide(self.array, asarray(other)))
def __rdiv__(self, other):
return self._rc(divide(asarray(other), self.array))
def __idiv__(self, other):
divide(self.array, other, self.array)
return self
def __mod__(self, other):
return self._rc(remainder(self.array, other))
def __rmod__(self, other):
return self._rc(remainder(other, self.array))
def __imod__(self, other):
remainder(self.array, other, self.array)
return self
def __divmod__(self, other):
return (self._rc(divide(self.array, other)),
self._rc(remainder(self.array, other)))
def __rdivmod__(self, other):
return (self._rc(divide(other, self.array)),
self._rc(remainder(other, self.array)))
def __pow__(self, other):
return self._rc(power(self.array, asarray(other)))
def __rpow__(self, other):
return self._rc(power(asarray(other), self.array))
def __ipow__(self, other):
power(self.array, other, self.array)
return self
def __lshift__(self, other):
return self._rc(left_shift(self.array, other))
def __rshift__(self, other):
return self._rc(right_shift(self.array, other))
def __rlshift__(self, other):
return self._rc(left_shift(other, self.array))
def __rrshift__(self, other):
return self._rc(right_shift(other, self.array))
def __ilshift__(self, other):
left_shift(self.array, other, self.array)
return self
def __irshift__(self, other):
right_shift(self.array, other, self.array)
return self
def __and__(self, other):
return self._rc(bitwise_and(self.array, other))
def __rand__(self, other):
return self._rc(bitwise_and(other, self.array))
def __iand__(self, other):
bitwise_and(self.array, other, self.array)
return self
def __xor__(self, other):
return self._rc(bitwise_xor(self.array, other))
def __rxor__(self, other):
return self._rc(bitwise_xor(other, self.array))
def __ixor__(self, other):
bitwise_xor(self.array, other, self.array)
return self
def __or__(self, other):
return self._rc(bitwise_or(self.array, other))
def __ror__(self, other):
return self._rc(bitwise_or(other, self.array))
def __ior__(self, other):
bitwise_or(self.array, other, self.array)
return self
def __pos__(self):
return self._rc(self.array)
def __invert__(self):
return self._rc(invert(self.array))
def _scalarfunc(self, func):
if self.ndim == 0:
return func(self[0])
else:
raise TypeError(
"only rank-0 arrays can be converted to Python scalars.")
def __complex__(self):
return self._scalarfunc(complex)
def __float__(self):
return self._scalarfunc(float)
def __int__(self):
return self._scalarfunc(int)
def __hex__(self):
return self._scalarfunc(hex)
def __oct__(self):
return self._scalarfunc(oct)
def __lt__(self, other):
return self._rc(less(self.array, other))
def __le__(self, other):
return self._rc(less_equal(self.array, other))
def __eq__(self, other):
return self._rc(equal(self.array, other))
def __ne__(self, other):
return self._rc(not_equal(self.array, other))
def __gt__(self, other):
return self._rc(greater(self.array, other))
def __ge__(self, other):
return self._rc(greater_equal(self.array, other))
def copy(self):
""
return self._rc(self.array.copy())
def tostring(self):
""
return self.array.tostring()
def tobytes(self):
""
return self.array.tobytes()
def byteswap(self):
""
return self._rc(self.array.byteswap())
def astype(self, typecode):
""
return self._rc(self.array.astype(typecode))
def _rc(self, a):
if len(shape(a)) == 0:
return a
else:
return self.__class__(a)
def __array_wrap__(self, *args):
return self.__class__(args[0])
def __setattr__(self, attr, value):
if attr == 'array':
object.__setattr__(self, attr, value)
return
try:
self.array.__setattr__(attr, value)
except AttributeError:
object.__setattr__(self, attr, value)
# Only called after other approaches fail.
def __getattr__(self, attr):
if (attr == 'array'):
return object.__getattribute__(self, attr)
return self.array.__getattribute__(attr)
#############################################################
# Test of class container
#############################################################
if __name__ == '__main__':
temp = reshape(arange(10000), (100, 100))
ua = container(temp)
# new object created begin test
print(dir(ua))
print(shape(ua), ua.shape) # I have changed Numeric.py
ua_small = ua[:3, :5]
print(ua_small)
# this did not change ua[0,0], which is not normal behavior
ua_small[0, 0] = 10
print(ua_small[0, 0], ua[0, 0])
print(sin(ua_small) / 3. * 6. + sqrt(ua_small ** 2))
print(less(ua_small, 103), type(less(ua_small, 103)))
print(type(ua_small * reshape(arange(15), shape(ua_small))))
print(reshape(ua_small, (5, 3)))
print(transpose(ua_small))
File diff suppressed because it is too large Load Diff
@@ -0,0 +1,91 @@
from ast import AST
from collections.abc import Callable, Mapping, Sequence
from typing import (
Any,
overload,
TypeVar,
Protocol,
)
from numpy import ndarray, generic
from numpy.core.numerictypes import (
issubclass_ as issubclass_,
issubdtype as issubdtype,
issubsctype as issubsctype,
)
_T_contra = TypeVar("_T_contra", contravariant=True)
_FuncType = TypeVar("_FuncType", bound=Callable[..., Any])
# A file-like object opened in `w` mode
class _SupportsWrite(Protocol[_T_contra]):
def write(self, s: _T_contra, /) -> Any: ...
__all__: list[str]
class _Deprecate:
old_name: None | str
new_name: None | str
message: None | str
def __init__(
self,
old_name: None | str = ...,
new_name: None | str = ...,
message: None | str = ...,
) -> None: ...
# NOTE: `__call__` can in principle take arbitrary `*args` and `**kwargs`,
# even though they aren't used for anything
def __call__(self, func: _FuncType) -> _FuncType: ...
def get_include() -> str: ...
@overload
def deprecate(
*,
old_name: None | str = ...,
new_name: None | str = ...,
message: None | str = ...,
) -> _Deprecate: ...
@overload
def deprecate(
func: _FuncType,
/,
old_name: None | str = ...,
new_name: None | str = ...,
message: None | str = ...,
) -> _FuncType: ...
def deprecate_with_doc(msg: None | str) -> _Deprecate: ...
# NOTE: In practice `byte_bounds` can (potentially) take any object
# implementing the `__array_interface__` protocol. The caveat is
# that certain keys, marked as optional in the spec, must be present for
# `byte_bounds`. This concerns `"strides"` and `"data"`.
def byte_bounds(a: generic | ndarray[Any, Any]) -> tuple[int, int]: ...
def who(vardict: None | Mapping[str, ndarray[Any, Any]] = ...) -> None: ...
def info(
object: object = ...,
maxwidth: int = ...,
output: None | _SupportsWrite[str] = ...,
toplevel: str = ...,
) -> None: ...
def source(
object: object,
output: None | _SupportsWrite[str] = ...,
) -> None: ...
def lookfor(
what: str,
module: None | str | Sequence[str] = ...,
import_modules: bool = ...,
regenerate: bool = ...,
output: None | _SupportsWrite[str] =...,
) -> None: ...
def safe_eval(source: str | AST) -> Any: ...
def show_runtime() -> None: ...