| """ |
| NumPy |
| ===== |
| |
| Provides |
| 1. An array object of arbitrary homogeneous items |
| 2. Fast mathematical operations over arrays |
| 3. Linear Algebra, Fourier Transforms, Random Number Generation |
| |
| How to use the documentation |
| ---------------------------- |
| Documentation is available in two forms: docstrings provided |
| with the code, and a loose standing reference guide, available from |
| `the NumPy homepage <https://numpy.org>`_. |
| |
| We recommend exploring the docstrings using |
| `IPython <https://ipython.org>`_, an advanced Python shell with |
| TAB-completion and introspection capabilities. See below for further |
| instructions. |
| |
| The docstring examples assume that `numpy` has been imported as ``np``:: |
| |
| >>> import numpy as np |
| |
| Code snippets are indicated by three greater-than signs:: |
| |
| >>> x = 42 |
| >>> x = x + 1 |
| |
| Use the built-in ``help`` function to view a function's docstring:: |
| |
| >>> help(np.sort) |
| ... # doctest: +SKIP |
| |
| For some objects, ``np.info(obj)`` may provide additional help. This is |
| particularly true if you see the line "Help on ufunc object:" at the top |
| of the help() page. Ufuncs are implemented in C, not Python, for speed. |
| The native Python help() does not know how to view their help, but our |
| np.info() function does. |
| |
| Available subpackages |
| --------------------- |
| lib |
| Basic functions used by several sub-packages. |
| random |
| Core Random Tools |
| linalg |
| Core Linear Algebra Tools |
| fft |
| Core FFT routines |
| polynomial |
| Polynomial tools |
| testing |
| NumPy testing tools |
| distutils |
| Enhancements to distutils with support for |
| Fortran compilers support and more (for Python <= 3.11) |
| |
| Utilities |
| --------- |
| test |
| Run numpy unittests |
| show_config |
| Show numpy build configuration |
| __version__ |
| NumPy version string |
| |
| Viewing documentation using IPython |
| ----------------------------------- |
| |
| Start IPython and import `numpy` usually under the alias ``np``: `import |
| numpy as np`. Then, directly past or use the ``%cpaste`` magic to paste |
| examples into the shell. To see which functions are available in `numpy`, |
| type ``np.<TAB>`` (where ``<TAB>`` refers to the TAB key), or use |
| ``np.*cos*?<ENTER>`` (where ``<ENTER>`` refers to the ENTER key) to narrow |
| down the list. To view the docstring for a function, use |
| ``np.cos?<ENTER>`` (to view the docstring) and ``np.cos??<ENTER>`` (to view |
| the source code). |
| |
| Copies vs. in-place operation |
| ----------------------------- |
| Most of the functions in `numpy` return a copy of the array argument |
| (e.g., `np.sort`). In-place versions of these functions are often |
| available as array methods, i.e. ``x = np.array([1,2,3]); x.sort()``. |
| Exceptions to this rule are documented. |
| |
| """ |
| import os |
| import sys |
| import warnings |
|
|
| from ._globals import _NoValue, _CopyMode |
| from ._expired_attrs_2_0 import __expired_attributes__ |
|
|
|
|
| |
| from . import version |
| from .version import __version__ |
|
|
| |
| |
| try: |
| __NUMPY_SETUP__ |
| except NameError: |
| __NUMPY_SETUP__ = False |
|
|
| if __NUMPY_SETUP__: |
| sys.stderr.write('Running from numpy source directory.\n') |
| else: |
| |
| from . import _distributor_init |
|
|
| try: |
| from numpy.__config__ import show as show_config |
| except ImportError as e: |
| msg = """Error importing numpy: you should not try to import numpy from |
| its source directory; please exit the numpy source tree, and relaunch |
| your python interpreter from there.""" |
| raise ImportError(msg) from e |
|
|
| from . import _core |
| from ._core import ( |
| False_, ScalarType, True_, _get_promotion_state, _no_nep50_warning, |
| _set_promotion_state, abs, absolute, acos, acosh, add, all, allclose, |
| amax, amin, any, arange, arccos, arccosh, arcsin, arcsinh, |
| arctan, arctan2, arctanh, argmax, argmin, argpartition, argsort, |
| argwhere, around, array, array2string, array_equal, array_equiv, |
| array_repr, array_str, asanyarray, asarray, ascontiguousarray, |
| asfortranarray, asin, asinh, atan, atanh, atan2, astype, atleast_1d, |
| atleast_2d, atleast_3d, base_repr, binary_repr, bitwise_and, |
| bitwise_count, bitwise_invert, bitwise_left_shift, bitwise_not, |
| bitwise_or, bitwise_right_shift, bitwise_xor, block, bool, bool_, |
| broadcast, busday_count, busday_offset, busdaycalendar, byte, bytes_, |
| can_cast, cbrt, cdouble, ceil, character, choose, clip, clongdouble, |
| complex128, complex64, complexfloating, compress, concat, concatenate, |
| conj, conjugate, convolve, copysign, copyto, correlate, cos, cosh, |
| count_nonzero, cross, csingle, cumprod, cumsum, cumulative_prod, |
| cumulative_sum, datetime64, datetime_as_string, datetime_data, |
| deg2rad, degrees, diagonal, divide, divmod, dot, double, dtype, e, |
| einsum, einsum_path, empty, empty_like, equal, errstate, euler_gamma, |
| exp, exp2, expm1, fabs, finfo, flatiter, flatnonzero, flexible, |
| float16, float32, float64, float_power, floating, floor, floor_divide, |
| fmax, fmin, fmod, format_float_positional, format_float_scientific, |
| frexp, from_dlpack, frombuffer, fromfile, fromfunction, fromiter, |
| frompyfunc, fromstring, full, full_like, gcd, generic, geomspace, |
| get_printoptions, getbufsize, geterr, geterrcall, greater, |
| greater_equal, half, heaviside, hstack, hypot, identity, iinfo, iinfo, |
| indices, inexact, inf, inner, int16, int32, int64, int8, int_, intc, |
| integer, intp, invert, is_busday, isclose, isdtype, isfinite, |
| isfortran, isinf, isnan, isnat, isscalar, issubdtype, lcm, ldexp, |
| left_shift, less, less_equal, lexsort, linspace, little_endian, log, |
| log10, log1p, log2, logaddexp, logaddexp2, logical_and, logical_not, |
| logical_or, logical_xor, logspace, long, longdouble, longlong, matmul, |
| matrix_transpose, max, maximum, may_share_memory, mean, memmap, min, |
| min_scalar_type, minimum, mod, modf, moveaxis, multiply, nan, ndarray, |
| ndim, nditer, negative, nested_iters, newaxis, nextafter, nonzero, |
| not_equal, number, object_, ones, ones_like, outer, partition, |
| permute_dims, pi, positive, pow, power, printoptions, prod, |
| promote_types, ptp, put, putmask, rad2deg, radians, ravel, recarray, |
| reciprocal, record, remainder, repeat, require, reshape, resize, |
| result_type, right_shift, rint, roll, rollaxis, round, sctypeDict, |
| searchsorted, set_printoptions, setbufsize, seterr, seterrcall, shape, |
| shares_memory, short, sign, signbit, signedinteger, sin, single, sinh, |
| size, sort, spacing, sqrt, square, squeeze, stack, std, |
| str_, subtract, sum, swapaxes, take, tan, tanh, tensordot, |
| timedelta64, trace, transpose, true_divide, trunc, typecodes, ubyte, |
| ufunc, uint, uint16, uint32, uint64, uint8, uintc, uintp, ulong, |
| ulonglong, unsignedinteger, unstack, ushort, var, vdot, vecdot, void, |
| vstack, where, zeros, zeros_like |
| ) |
|
|
| |
| |
| for ta in ["float96", "float128", "complex192", "complex256"]: |
| try: |
| globals()[ta] = getattr(_core, ta) |
| except AttributeError: |
| pass |
| del ta |
|
|
| from . import lib |
| from .lib import scimath as emath |
| from .lib._histograms_impl import ( |
| histogram, histogram_bin_edges, histogramdd |
| ) |
| from .lib._nanfunctions_impl import ( |
| nanargmax, nanargmin, nancumprod, nancumsum, nanmax, nanmean, |
| nanmedian, nanmin, nanpercentile, nanprod, nanquantile, nanstd, |
| nansum, nanvar |
| ) |
| from .lib._function_base_impl import ( |
| select, piecewise, trim_zeros, copy, iterable, percentile, diff, |
| gradient, angle, unwrap, sort_complex, flip, rot90, extract, place, |
| vectorize, asarray_chkfinite, average, bincount, digitize, cov, |
| corrcoef, median, sinc, hamming, hanning, bartlett, blackman, |
| kaiser, trapezoid, trapz, i0, meshgrid, delete, insert, append, |
| interp, quantile |
| ) |
| from .lib._twodim_base_impl import ( |
| diag, diagflat, eye, fliplr, flipud, tri, triu, tril, vander, |
| histogram2d, mask_indices, tril_indices, tril_indices_from, |
| triu_indices, triu_indices_from |
| ) |
| from .lib._shape_base_impl import ( |
| apply_over_axes, apply_along_axis, array_split, column_stack, dsplit, |
| dstack, expand_dims, hsplit, kron, put_along_axis, row_stack, split, |
| take_along_axis, tile, vsplit |
| ) |
| from .lib._type_check_impl import ( |
| iscomplexobj, isrealobj, imag, iscomplex, isreal, nan_to_num, real, |
| real_if_close, typename, mintypecode, common_type |
| ) |
| from .lib._arraysetops_impl import ( |
| ediff1d, in1d, intersect1d, isin, setdiff1d, setxor1d, union1d, |
| unique, unique_all, unique_counts, unique_inverse, unique_values |
| ) |
| from .lib._ufunclike_impl import fix, isneginf, isposinf |
| from .lib._arraypad_impl import pad |
| from .lib._utils_impl import ( |
| show_runtime, get_include, info |
| ) |
| from .lib._stride_tricks_impl import ( |
| broadcast_arrays, broadcast_shapes, broadcast_to |
| ) |
| from .lib._polynomial_impl import ( |
| poly, polyint, polyder, polyadd, polysub, polymul, polydiv, polyval, |
| polyfit, poly1d, roots |
| ) |
| from .lib._npyio_impl import ( |
| savetxt, loadtxt, genfromtxt, load, save, savez, packbits, |
| savez_compressed, unpackbits, fromregex |
| ) |
| from .lib._index_tricks_impl import ( |
| diag_indices_from, diag_indices, fill_diagonal, ndindex, ndenumerate, |
| ix_, c_, r_, s_, ogrid, mgrid, unravel_index, ravel_multi_index, |
| index_exp |
| ) |
|
|
| from . import matrixlib as _mat |
| from .matrixlib import ( |
| asmatrix, bmat, matrix |
| ) |
|
|
| |
| |
| |
| |
| __numpy_submodules__ = { |
| "linalg", "fft", "dtypes", "random", "polynomial", "ma", |
| "exceptions", "lib", "ctypeslib", "testing", "typing", |
| "f2py", "test", "rec", "char", "core", "strings", |
| } |
|
|
| |
| _msg = ( |
| "module 'numpy' has no attribute '{n}'.\n" |
| "`np.{n}` was a deprecated alias for the builtin `{n}`. " |
| "To avoid this error in existing code, use `{n}` by itself. " |
| "Doing this will not modify any behavior and is safe. {extended_msg}\n" |
| "The aliases was originally deprecated in NumPy 1.20; for more " |
| "details and guidance see the original release note at:\n" |
| " https://numpy.org/devdocs/release/1.20.0-notes.html#deprecations") |
|
|
| _specific_msg = ( |
| "If you specifically wanted the numpy scalar type, use `np.{}` here.") |
|
|
| _int_extended_msg = ( |
| "When replacing `np.{}`, you may wish to use e.g. `np.int64` " |
| "or `np.int32` to specify the precision. If you wish to review " |
| "your current use, check the release note link for " |
| "additional information.") |
|
|
| _type_info = [ |
| ("object", ""), |
| ("float", _specific_msg.format("float64")), |
| ("complex", _specific_msg.format("complex128")), |
| ("str", _specific_msg.format("str_")), |
| ("int", _int_extended_msg.format("int"))] |
|
|
| __former_attrs__ = { |
| n: _msg.format(n=n, extended_msg=extended_msg) |
| for n, extended_msg in _type_info |
| } |
|
|
|
|
| |
| |
| |
| |
| |
| __future_scalars__ = {"str", "bytes", "object"} |
|
|
| __array_api_version__ = "2023.12" |
|
|
| from ._array_api_info import __array_namespace_info__ |
|
|
| |
| _core.getlimits._register_known_types() |
|
|
| __all__ = list( |
| __numpy_submodules__ | |
| set(_core.__all__) | |
| set(_mat.__all__) | |
| set(lib._histograms_impl.__all__) | |
| set(lib._nanfunctions_impl.__all__) | |
| set(lib._function_base_impl.__all__) | |
| set(lib._twodim_base_impl.__all__) | |
| set(lib._shape_base_impl.__all__) | |
| set(lib._type_check_impl.__all__) | |
| set(lib._arraysetops_impl.__all__) | |
| set(lib._ufunclike_impl.__all__) | |
| set(lib._arraypad_impl.__all__) | |
| set(lib._utils_impl.__all__) | |
| set(lib._stride_tricks_impl.__all__) | |
| set(lib._polynomial_impl.__all__) | |
| set(lib._npyio_impl.__all__) | |
| set(lib._index_tricks_impl.__all__) | |
| {"emath", "show_config", "__version__", "__array_namespace_info__"} |
| ) |
|
|
| |
| warnings.filterwarnings("ignore", message="numpy.dtype size changed") |
| warnings.filterwarnings("ignore", message="numpy.ufunc size changed") |
| warnings.filterwarnings("ignore", message="numpy.ndarray size changed") |
|
|
| def __getattr__(attr): |
| |
| import warnings |
|
|
| if attr == "linalg": |
| import numpy.linalg as linalg |
| return linalg |
| elif attr == "fft": |
| import numpy.fft as fft |
| return fft |
| elif attr == "dtypes": |
| import numpy.dtypes as dtypes |
| return dtypes |
| elif attr == "random": |
| import numpy.random as random |
| return random |
| elif attr == "polynomial": |
| import numpy.polynomial as polynomial |
| return polynomial |
| elif attr == "ma": |
| import numpy.ma as ma |
| return ma |
| elif attr == "ctypeslib": |
| import numpy.ctypeslib as ctypeslib |
| return ctypeslib |
| elif attr == "exceptions": |
| import numpy.exceptions as exceptions |
| return exceptions |
| elif attr == "testing": |
| import numpy.testing as testing |
| return testing |
| elif attr == "matlib": |
| import numpy.matlib as matlib |
| return matlib |
| elif attr == "f2py": |
| import numpy.f2py as f2py |
| return f2py |
| elif attr == "typing": |
| import numpy.typing as typing |
| return typing |
| elif attr == "rec": |
| import numpy.rec as rec |
| return rec |
| elif attr == "char": |
| import numpy.char as char |
| return char |
| elif attr == "array_api": |
| raise AttributeError("`numpy.array_api` is not available from " |
| "numpy 2.0 onwards", name=None) |
| elif attr == "core": |
| import numpy.core as core |
| return core |
| elif attr == "strings": |
| import numpy.strings as strings |
| return strings |
| elif attr == "distutils": |
| if 'distutils' in __numpy_submodules__: |
| import numpy.distutils as distutils |
| return distutils |
| else: |
| raise AttributeError("`numpy.distutils` is not available from " |
| "Python 3.12 onwards", name=None) |
|
|
| if attr in __future_scalars__: |
| |
| |
| warnings.warn( |
| f"In the future `np.{attr}` will be defined as the " |
| "corresponding NumPy scalar.", FutureWarning, stacklevel=2) |
|
|
| if attr in __former_attrs__: |
| raise AttributeError(__former_attrs__[attr], name=None) |
| |
| if attr in __expired_attributes__: |
| raise AttributeError( |
| f"`np.{attr}` was removed in the NumPy 2.0 release. " |
| f"{__expired_attributes__[attr]}", |
| name=None |
| ) |
|
|
| if attr == "chararray": |
| warnings.warn( |
| "`np.chararray` is deprecated and will be removed from " |
| "the main namespace in the future. Use an array with a string " |
| "or bytes dtype instead.", DeprecationWarning, stacklevel=2) |
| import numpy.char as char |
| return char.chararray |
|
|
| raise AttributeError("module {!r} has no attribute " |
| "{!r}".format(__name__, attr)) |
|
|
| def __dir__(): |
| public_symbols = ( |
| globals().keys() | __numpy_submodules__ |
| ) |
| public_symbols -= { |
| "matrixlib", "matlib", "tests", "conftest", "version", |
| "compat", "distutils", "array_api" |
| } |
| return list(public_symbols) |
|
|
| |
| from numpy._pytesttester import PytestTester |
| test = PytestTester(__name__) |
| del PytestTester |
|
|
| def _sanity_check(): |
| """ |
| Quick sanity checks for common bugs caused by environment. |
| There are some cases e.g. with wrong BLAS ABI that cause wrong |
| results under specific runtime conditions that are not necessarily |
| achieved during test suite runs, and it is useful to catch those early. |
| |
| See https://github.com/numpy/numpy/issues/8577 and other |
| similar bug reports. |
| |
| """ |
| try: |
| x = ones(2, dtype=float32) |
| if not abs(x.dot(x) - float32(2.0)) < 1e-5: |
| raise AssertionError() |
| except AssertionError: |
| msg = ("The current Numpy installation ({!r}) fails to " |
| "pass simple sanity checks. This can be caused for example " |
| "by incorrect BLAS library being linked in, or by mixing " |
| "package managers (pip, conda, apt, ...). Search closed " |
| "numpy issues for similar problems.") |
| raise RuntimeError(msg.format(__file__)) from None |
|
|
| _sanity_check() |
| del _sanity_check |
|
|
| def _mac_os_check(): |
| """ |
| Quick Sanity check for Mac OS look for accelerate build bugs. |
| Testing numpy polyfit calls init_dgelsd(LAPACK) |
| """ |
| try: |
| c = array([3., 2., 1.]) |
| x = linspace(0, 2, 5) |
| y = polyval(c, x) |
| _ = polyfit(x, y, 2, cov=True) |
| except ValueError: |
| pass |
|
|
| if sys.platform == "darwin": |
| from . import exceptions |
| with warnings.catch_warnings(record=True) as w: |
| _mac_os_check() |
| |
| if len(w) > 0: |
| for _wn in w: |
| if _wn.category is exceptions.RankWarning: |
| |
| error_message = f"{_wn.category.__name__}: {str(_wn.message)}" |
| msg = ( |
| "Polyfit sanity test emitted a warning, most likely due " |
| "to using a buggy Accelerate backend." |
| "\nIf you compiled yourself, more information is available at:" |
| "\nhttps://numpy.org/devdocs/building/index.html" |
| "\nOtherwise report this to the vendor " |
| "that provided NumPy.\n\n{}\n".format(error_message)) |
| raise RuntimeError(msg) |
| del _wn |
| del w |
| del _mac_os_check |
|
|
| def hugepage_setup(): |
| """ |
| We usually use madvise hugepages support, but on some old kernels it |
| is slow and thus better avoided. Specifically kernel version 4.6 |
| had a bug fix which probably fixed this: |
| https://github.com/torvalds/linux/commit/7cf91a98e607c2f935dbcc177d70011e95b8faff |
| """ |
| use_hugepage = os.environ.get("NUMPY_MADVISE_HUGEPAGE", None) |
| if sys.platform == "linux" and use_hugepage is None: |
| |
| |
| |
| |
| |
| try: |
| use_hugepage = 1 |
| kernel_version = os.uname().release.split(".")[:2] |
| kernel_version = tuple(int(v) for v in kernel_version) |
| if kernel_version < (4, 6): |
| use_hugepage = 0 |
| except ValueError: |
| use_hugepage = 0 |
| elif use_hugepage is None: |
| |
| use_hugepage = 1 |
| else: |
| use_hugepage = int(use_hugepage) |
| return use_hugepage |
|
|
| |
| _core.multiarray._set_madvise_hugepage(hugepage_setup()) |
| del hugepage_setup |
|
|
| |
| |
| |
| _core.multiarray._multiarray_umath._reload_guard() |
|
|
| |
| _core._set_promotion_state( |
| os.environ.get("NPY_PROMOTION_STATE", "weak")) |
|
|
| |
| def _pyinstaller_hooks_dir(): |
| from pathlib import Path |
| return [str(Path(__file__).with_name("_pyinstaller").resolve())] |
|
|
|
|
| |
| del os, sys, warnings |
|
|