======================== Supported NumPy features ======================== One objective of Numba is having a seamless integration with `NumPy`_. NumPy arrays provide an efficient storage method for homogeneous sets of data. NumPy dtypes provide type information useful when compiling, and the regular, structured storage of potentially large amounts of data in memory provides an ideal memory layout for code generation. Numba excels at generating code that executes on top of NumPy arrays. NumPy support in Numba comes in many forms: * Numba understands calls to NumPy `ufuncs`_ and is able to generate equivalent native code for many of them. * NumPy arrays are directly supported in Numba. Access to Numpy arrays is very efficient, as indexing is lowered to direct memory accesses when possible. * Numba is able to generate `ufuncs`_ and `gufuncs`_. This means that it is possible to implement ufuncs and gufuncs within Python, getting speeds comparable to that of ufuncs/gufuncs implemented in C extension modules using the NumPy C API. .. _NumPy: http://www.numpy.org/ .. _ufuncs: http://docs.scipy.org/doc/numpy/reference/ufuncs.html .. _gufuncs: http://docs.scipy.org/doc/numpy/reference/c-api.generalized-ufuncs.html The following sections focus on the Numpy features supported in :term:`nopython mode`, unless otherwise stated. Scalar types ============ Numba supports the following Numpy scalar types: * **Integers**: all integers of either signedness, and any width up to 64 bits * **Booleans** * **Real numbers:** single-precision (32-bit) and double-precision (64-bit) reals * **Complex numbers:** single-precision (2x32-bit) and double-precision (2x64-bit) complex numbers * **Datetimes and timestamps:** of any unit * **Character sequences** (but no operations are available on them) * **Structured scalars:** structured scalars made of any of the types above and arrays of the types above The following scalar types and features are not supported: * **Arbitrary Python objects** * **Half-precision and extended-precision** real and complex numbers * **Nested structured scalars** the fields of structured scalars may not contain other structured scalars The operations supported on scalar Numpy numbers are the same as on the equivalent built-in types such as ``int`` or ``float``. You can use a type's constructor to convert from a different type or width. Structured scalars support attribute getting and setting, as well as member lookup using constant strings. .. seealso:: `Numpy scalars `_ reference. Array types =========== `Numpy arrays `_ of any of the scalar types above are supported, regardless of the shape or layout. Array access ------------ Arrays support normal iteration. Full basic indexing and slicing is supported. A subset of advanced indexing is also supported: only one advanced index is allowed, and it has to be a one-dimensional array (it can be combined with an arbitrary number of basic indices as well). .. seealso:: `Numpy indexing `_ reference. Attributes ---------- The following attributes of Numpy arrays are supported: * :attr:`~numpy.ndarray.dtype` * :attr:`~numpy.ndarray.flags` * :attr:`~numpy.ndarray.flat` * :attr:`~numpy.ndarray.itemsize` * :attr:`~numpy.ndarray.ndim` * :attr:`~numpy.ndarray.shape` * :attr:`~numpy.ndarray.size` * :attr:`~numpy.ndarray.strides` * :attr:`~numpy.ndarray.T` * :attr:`~numpy.ndarray.real` * :attr:`~numpy.ndarray.imag` The ``flags`` object '''''''''''''''''''' The object returned by the :attr:`~numpy.ndarray.flags` attribute supports the ``contiguous``, ``c_contiguous`` and ``f_contiguous`` attributes. The ``flat`` object ''''''''''''''''''' The object returned by the :attr:`~numpy.ndarray.flat` attribute supports iteration and indexing, but be careful: indexing is very slow on non-C-contiguous arrays. The ``real`` and ``imag`` attributes '''''''''''''''''''''''''''''''''''' Numpy supports these attributes regardless of the dtype but Numba chooses to limit their support to avoid potential user error. For numeric dtypes, Numba follows Numpy's behavior. The :attr:`~numpy.ndarray.real` attribute returns a view of the real part of the complex array and it behaves as an identity function for other numeric dtypes. The :attr:`~numpy.ndarray.imag` attribute returns a view of the imaginary part of the complex array and it returns a zero array with the same shape and dtype for other numeric dtypes. For non-numeric dtypes, including all structured/record dtypes, using these attributes will result in a compile-time (`TypingError`) error. This behavior differs from Numpy's but it is chosen to avoid the potential confusion with field names that overlap these attributes. Calculation ----------- The following methods of Numpy arrays are supported in their basic form (without any optional arguments): * :meth:`~numpy.ndarray.all` * :meth:`~numpy.ndarray.any` * :meth:`~numpy.ndarray.argmax` * :meth:`~numpy.ndarray.argmin` * :meth:`~numpy.ndarray.cumprod` * :meth:`~numpy.ndarray.cumsum` * :meth:`~numpy.ndarray.max` * :meth:`~numpy.ndarray.mean` * :meth:`~numpy.ndarray.min` * :meth:`~numpy.ndarray.nonzero` * :meth:`~numpy.ndarray.prod` * :meth:`~numpy.ndarray.std` * :meth:`~numpy.ndarray.take` * :meth:`~numpy.ndarray.var` The corresponding top-level Numpy functions (such as :func:`numpy.prod`) are similarly supported. Other methods ------------- The following methods of Numpy arrays are supported: * :meth:`~numpy.ndarray.argsort` (without arguments) * :meth:`~numpy.ndarray.astype` (only the 1-argument form) * :meth:`~numpy.ndarray.copy` (without arguments) * :meth:`~numpy.ndarray.flatten` (no order argument; 'C' order only) * :meth:`~numpy.ndarray.item` (without arguments) * :meth:`~numpy.ndarray.itemset` (only the 1-argument form) * :meth:`~numpy.ndarray.ravel` (no order argument; 'C' order only) * :meth:`~numpy.ndarray.reshape` (only the 1-argument form) * :meth:`~numpy.ndarray.sort` (without arguments) * :meth:`~numpy.ndarray.sum` (with or without the ``axis`` argument) * If the ``axis`` argument is a compile-time constant, all valid values are supported. An out-of-range value will result in a ``LoweringError`` at compile-time. * If the ``axis`` argument is not a compile-time constant, only values from 0 to 3 are supported. An out-of-range value will result in a runtime exception. * :meth:`~numpy.ndarray.transpose` (without arguments, and without copying) * :meth:`~numpy.ndarray.view` (only the 1-argument form) .. warning:: Sorting may be slightly slower than Numpy's implementation. Functions ========= Linear algebra -------------- Basic linear algebra is supported on 1-D and 2-D contiguous arrays of floating-point and complex numbers: * :func:`numpy.dot` * :func:`numpy.kron` * :func:`numpy.outer` * :func:`numpy.trace` (only the first argument). * :func:`numpy.vdot` * On Python 3.5 and above, the matrix multiplication operator from :pep:`465` (i.e. ``a @ b`` where ``a`` and ``b`` are 1-D or 2-D arrays). * :func:`numpy.linalg.cholesky` * :func:`numpy.linalg.cond` (only non string values in ``p``). * :func:`numpy.linalg.det` * :func:`numpy.linalg.eig` (only running with data that does not cause a domain change is supported e.g. real input -> real output, complex input -> complex output). * :func:`numpy.linalg.eigh` (only the first argument). * :func:`numpy.linalg.eigvals` (only running with data that does not cause a domain change is supported e.g. real input -> real output, complex input -> complex output). * :func:`numpy.linalg.eigvalsh` (only the first argument). * :func:`numpy.linalg.inv` * :func:`numpy.linalg.lstsq` * :func:`numpy.linalg.matrix_power` * :func:`numpy.linalg.matrix_rank` * :func:`numpy.linalg.norm` (only the 2 first arguments and only non string values in ``ord``). * :func:`numpy.linalg.pinv` * :func:`numpy.linalg.qr` (only the first argument). * :func:`numpy.linalg.slogdet` * :func:`numpy.linalg.solve` * :func:`numpy.linalg.svd` (only the 2 first arguments). .. note:: The implementation of these functions needs Scipy 0.16+ to be installed. Reductions ---------- The following reduction functions are supported: * :func:`numpy.diff` (only the 2 first arguments) * :func:`numpy.median` (only the first argument) * :func:`numpy.nanmax` (only the first argument) * :func:`numpy.nanmean` (only the first argument) * :func:`numpy.nanmedian` (only the first argument) * :func:`numpy.nanmin` (only the first argument) * :func:`numpy.nanprod` (only the first argument) * :func:`numpy.nanstd` (only the first argument) * :func:`numpy.nansum` (only the first argument) * :func:`numpy.nanvar` (only the first argument) Other functions --------------- The following top-level functions are supported: * :func:`numpy.arange` * :func:`numpy.argsort` (no optional arguments) * :func:`numpy.array` (only the 2 first arguments) * :func:`numpy.asfortranarray` (only the first argument) * :func:`numpy.atleast_1d` * :func:`numpy.atleast_2d` * :func:`numpy.atleast_3d` * :func:`numpy.bincount` (only the 2 first arguments) * :func:`numpy.column_stack` * :func:`numpy.concatenate` * :func:`numpy.copy` (only the first argument) * :func:`numpy.diag` * :func:`numpy.digitize` * :func:`numpy.dstack` * :func:`numpy.empty` (only the 2 first arguments) * :func:`numpy.empty_like` (only the 2 first arguments) * :func:`numpy.expand_dims` * :func:`numpy.eye` * :func:`numpy.flatten` (no order argument; 'C' order only) * :func:`numpy.frombuffer` (only the 2 first arguments) * :func:`numpy.full` (only the 3 first arguments) * :func:`numpy.full_like` (only the 3 first arguments) * :func:`numpy.histogram` (only the 3 first arguments) * :func:`numpy.hstack` * :func:`numpy.identity` * :func:`numpy.linspace` (only the 3-argument form) * :class:`numpy.ndenumerate` * :class:`numpy.ndindex` * :class:`numpy.nditer` (only the first argument) * :func:`numpy.ones` (only the 2 first arguments) * :func:`numpy.ones_like` (only the 2 first arguments) * :func:`numpy.ravel` (no order argument; 'C' order only) * :func:`numpy.roots` * :func:`numpy.round_` * :func:`numpy.searchsorted` (only the 2 first arguments) * :func:`numpy.sinc` * :func:`numpy.sort` (no optional arguments) * :func:`numpy.stack` * :func:`numpy.take` (only the 2 first arguments) * :func:`numpy.vstack` * :func:`numpy.where` * :func:`numpy.zeros` (only the 2 first arguments) * :func:`numpy.zeros_like` (only the 2 first arguments) The following constructors are supported, both with a numeric input (to construct a scalar) or a sequence (to construct an array): * :class:`numpy.bool_` * :class:`numpy.complex64` * :class:`numpy.complex128` * :class:`numpy.float32` * :class:`numpy.float64` * :class:`numpy.int8` * :class:`numpy.int16` * :class:`numpy.int32` * :class:`numpy.int64` * :class:`numpy.intc` * :class:`numpy.intp` * :class:`numpy.uint8` * :class:`numpy.uint16` * :class:`numpy.uint32` * :class:`numpy.uint64` * :class:`numpy.uintc` * :class:`numpy.uintp` The following machine parameter classes are supported, with all purely numerical attributes: * :class:`numpy.iinfo` * :class:`numpy.finfo` (``machar`` attribute not supported) * :class:`numpy.MachAr` (with no arguments to the constructor) Literal arrays -------------- .. XXX should this part of the user's guide? Neither Python nor Numba has actual array literals, but you can construct arbitrary arrays by calling :func:`numpy.array` on a nested tuple:: a = numpy.array(((a, b, c), (d, e, f))) (nested lists are not yet supported by Numba) Modules ======= .. _numpy-random: ``random`` ---------- Numba supports top-level functions from the `numpy.random `_ module, but does not allow you to create individual RandomState instances. The same algorithms are used as for :ref:`the standard random module ` (and therefore the same notes apply), but with an independent internal state: seeding or drawing numbers from one generator won't affect the other. The following functions are supported. Initialization '''''''''''''' * :func:`numpy.random.seed`: with an integer argument only Simple random data '''''''''''''''''' * :func:`numpy.random.rand` * :func:`numpy.random.randint` (only the first two arguments) * :func:`numpy.random.randn` * :func:`numpy.random.random` * :func:`numpy.random.random_sample` * :func:`numpy.random.ranf` * :func:`numpy.random.sample` Permutations '''''''''''' * :func:`numpy.random.choice`: the optional *p* argument (probabilities array) is not supported * :func:`numpy.random.shuffle`: the sequence argument must be a one-dimension Numpy array or buffer-providing object (such as a :class:`bytearray` or :class:`array.array`) Distributions ''''''''''''' .. warning:: The `size` argument is not supported in the following functions. * :func:`numpy.random.beta` * :func:`numpy.random.binomial` * :func:`numpy.random.chisquare` * :func:`numpy.random.exponential` * :func:`numpy.random.f` * :func:`numpy.random.gamma` * :func:`numpy.random.geometric` * :func:`numpy.random.gumbel` * :func:`numpy.random.hypergeometric` * :func:`numpy.random.laplace` * :func:`numpy.random.logistic` * :func:`numpy.random.lognormal` * :func:`numpy.random.logseries` * :func:`numpy.random.multinomial` * :func:`numpy.random.negative_binomial` * :func:`numpy.random.normal` * :func:`numpy.random.pareto` * :func:`numpy.random.poisson` * :func:`numpy.random.power` * :func:`numpy.random.rayleigh` * :func:`numpy.random.standard_cauchy` * :func:`numpy.random.standard_exponential` * :func:`numpy.random.standard_gamma` * :func:`numpy.random.standard_normal` * :func:`numpy.random.standard_t` * :func:`numpy.random.triangular` * :func:`numpy.random.uniform` * :func:`numpy.random.vonmises` * :func:`numpy.random.wald` * :func:`numpy.random.weibull` * :func:`numpy.random.zipf` .. note:: Calling :func:`numpy.random.seed` from non-Numba code (or from :term:`object mode` code) will seed the Numpy random generator, not the Numba random generator. .. note:: The generator is not thread-safe when :ref:`releasing the GIL `. Also, under Unix, if creating a child process using :func:`os.fork` or the :mod:`multiprocessing` module, the child's random generator will inherit the parent's state and will therefore produce the same sequence of numbers (except when using the "forkserver" start method under Python 3.4 and later). ``stride_tricks`` ----------------- The following function from the :mod:`numpy.lib.stride_tricks` module is supported: * :func:`~numpy.lib.stride_tricks.as_strided` (the *strides* argument is mandatory, the *subok* argument is not supported) .. _supported_ufuncs: Standard ufuncs =============== One objective of Numba is having all the `standard ufuncs in NumPy `_ understood by Numba. When a supported ufunc is found when compiling a function, Numba maps the ufunc to equivalent native code. This allows the use of those ufuncs in Numba code that gets compiled in :term:`nopython mode`. Limitations ----------- Right now, only a selection of the standard ufuncs work in :term:`nopython mode`. Following is a list of the different standard ufuncs that Numba is aware of, sorted in the same way as in the NumPy documentation. Math operations --------------- ============== ============= =============== UFUNC MODE -------------- ------------------------------ name object mode nopython mode ============== ============= =============== add Yes Yes subtract Yes Yes multiply Yes Yes divide Yes Yes logaddexp Yes Yes logaddexp2 Yes Yes true_divide Yes Yes floor_divide Yes Yes negative Yes Yes power Yes Yes remainder Yes Yes mod Yes Yes fmod Yes Yes abs Yes Yes absolute Yes Yes fabs Yes Yes rint Yes Yes sign Yes Yes conj Yes Yes exp Yes Yes exp2 Yes Yes log Yes Yes log2 Yes Yes log10 Yes Yes expm1 Yes Yes log1p Yes Yes sqrt Yes Yes square Yes Yes reciprocal Yes Yes conjugate Yes Yes ============== ============= =============== Trigonometric functions ----------------------- ============== ============= =============== UFUNC MODE -------------- ------------------------------ name object mode nopython mode ============== ============= =============== sin Yes Yes cos Yes Yes tan Yes Yes arcsin Yes Yes arccos Yes Yes arctan Yes Yes arctan2 Yes Yes hypot Yes Yes sinh Yes Yes cosh Yes Yes tanh Yes Yes arcsinh Yes Yes arccosh Yes Yes arctanh Yes Yes deg2rad Yes Yes rad2deg Yes Yes degrees Yes Yes radians Yes Yes ============== ============= =============== Bit-twiddling functions ----------------------- ============== ============= =============== UFUNC MODE -------------- ------------------------------ name object mode nopython mode ============== ============= =============== bitwise_and Yes Yes bitwise_or Yes Yes bitwise_xor Yes Yes bitwise_not Yes Yes invert Yes Yes left_shift Yes Yes right_shift Yes Yes ============== ============= =============== Comparison functions -------------------- ============== ============= =============== UFUNC MODE -------------- ------------------------------ name object mode nopython mode ============== ============= =============== greater Yes Yes greater_equal Yes Yes less Yes Yes less_equal Yes Yes not_equal Yes Yes equal Yes Yes logical_and Yes Yes logical_or Yes Yes logical_xor Yes Yes logical_not Yes Yes maximum Yes Yes minimum Yes Yes fmax Yes Yes fmin Yes Yes ============== ============= =============== Floating functions ------------------ ============== ============= =============== UFUNC MODE -------------- ------------------------------ name object mode nopython mode ============== ============= =============== isfinite Yes Yes isinf Yes Yes isnan Yes Yes signbit Yes Yes copysign Yes Yes nextafter Yes Yes modf Yes No ldexp Yes (*) Yes frexp Yes No floor Yes Yes ceil Yes Yes trunc Yes Yes spacing Yes Yes ============== ============= =============== (\*) not supported on windows 32 bit