Data types¶
See also
Array types and conversions between types¶
NumPy supports a much greater variety of numerical types than Python does. This section shows which are available, and how to modify an array’s data-type.
Data type | Description |
---|---|
bool_ |
Boolean (True or False) stored as a byte |
int_ |
Default integer type (same as C long ; normally either
int64 or int32 ) |
intc | Identical to C int (normally int32 or int64 ) |
intp | Integer used for indexing (same as C ssize_t ; normally
either int32 or int64 ) |
int8 | Byte (-128 to 127) |
int16 | Integer (-32768 to 32767) |
int32 | Integer (-2147483648 to 2147483647) |
int64 | Integer (-9223372036854775808 to 9223372036854775807) |
uint8 | Unsigned integer (0 to 255) |
uint16 | Unsigned integer (0 to 65535) |
uint32 | Unsigned integer (0 to 4294967295) |
uint64 | Unsigned integer (0 to 18446744073709551615) |
float_ |
Shorthand for float64 . |
float16 | Half precision float: sign bit, 5 bits exponent, 10 bits mantissa |
float32 | Single precision float: sign bit, 8 bits exponent, 23 bits mantissa |
float64 | Double precision float: sign bit, 11 bits exponent, 52 bits mantissa |
complex_ |
Shorthand for complex128 . |
complex64 | Complex number, represented by two 32-bit floats (real and imaginary components) |
complex128 | Complex number, represented by two 64-bit floats (real and imaginary components) |
Additionally to intc
the platform dependent C integer types short
,
long
, longlong
and their unsigned versions are defined.
NumPy numerical types are instances of dtype
(data-type) objects, each
having unique characteristics. Once you have imported NumPy using
>>> import numpy as np
the dtypes are available as np.bool_
, np.float32
, etc.
Advanced types, not listed in the table above, are explored in section Structured arrays.
There are 5 basic numerical types representing booleans (bool), integers (int),
unsigned integers (uint) floating point (float) and complex. Those with numbers
in their name indicate the bitsize of the type (i.e. how many bits are needed
to represent a single value in memory). Some types, such as int
and
intp
, have differing bitsizes, dependent on the platforms (e.g. 32-bit
vs. 64-bit machines). This should be taken into account when interfacing
with low-level code (such as C or Fortran) where the raw memory is addressed.
Data-types can be used as functions to convert python numbers to array scalars (see the array scalar section for an explanation), python sequences of numbers to arrays of that type, or as arguments to the dtype keyword that many numpy functions or methods accept. Some examples:
>>> import numpy as np
>>> x = np.float32(1.0)
>>> x
1.0
>>> y = np.int_([1,2,4])
>>> y
array([1, 2, 4])
>>> z = np.arange(3, dtype=np.uint8)
>>> z
array([0, 1, 2], dtype=uint8)
Array types can also be referred to by character codes, mostly to retain backward compatibility with older packages such as Numeric. Some documentation may still refer to these, for example:
>>> np.array([1, 2, 3], dtype='f')
array([ 1., 2., 3.], dtype=float32)
We recommend using dtype objects instead.
To convert the type of an array, use the .astype() method (preferred) or the type itself as a function. For example:
>>> z.astype(float)
array([ 0., 1., 2.])
>>> np.int8(z)
array([0, 1, 2], dtype=int8)
Note that, above, we use the Python float object as a dtype. NumPy knows
that int
refers to np.int_
, bool
means np.bool_
,
that float
is np.float_
and complex
is np.complex_
.
The other data-types do not have Python equivalents.
To determine the type of an array, look at the dtype attribute:
>>> z.dtype
dtype('uint8')
dtype objects also contain information about the type, such as its bit-width and its byte-order. The data type can also be used indirectly to query properties of the type, such as whether it is an integer:
>>> d = np.dtype(int)
>>> d
dtype('int32')
>>> np.issubdtype(d, np.integer)
True
>>> np.issubdtype(d, np.floating)
False
Array Scalars¶
NumPy generally returns elements of arrays as array scalars (a scalar
with an associated dtype). Array scalars differ from Python scalars, but
for the most part they can be used interchangeably (the primary
exception is for versions of Python older than v2.x, where integer array
scalars cannot act as indices for lists and tuples). There are some
exceptions, such as when code requires very specific attributes of a scalar
or when it checks specifically whether a value is a Python scalar. Generally,
problems are easily fixed by explicitly converting array scalars
to Python scalars, using the corresponding Python type function
(e.g., int
, float
, complex
, str
, unicode
).
The primary advantage of using array scalars is that
they preserve the array type (Python may not have a matching scalar type
available, e.g. int16
). Therefore, the use of array scalars ensures
identical behaviour between arrays and scalars, irrespective of whether the
value is inside an array or not. NumPy scalars also have many of the same
methods arrays do.
Extended Precision¶
Python’s floating-point numbers are usually 64-bit floating-point numbers,
nearly equivalent to np.float64
. In some unusual situations it may be
useful to use floating-point numbers with more precision. Whether this
is possible in numpy depends on the hardware and on the development
environment: specifically, x86 machines provide hardware floating-point
with 80-bit precision, and while most C compilers provide this as their
long double
type, MSVC (standard for Windows builds) makes
long double
identical to double
(64 bits). NumPy makes the
compiler’s long double
available as np.longdouble
(and
np.clongdouble
for the complex numbers). You can find out what your
numpy provides with np.finfo(np.longdouble)
.
NumPy does not provide a dtype with more precision than C
long double
s; in particular, the 128-bit IEEE quad precision
data type (FORTRAN’s REAL*16
) is not available.
For efficient memory alignment, np.longdouble
is usually stored
padded with zero bits, either to 96 or 128 bits. Which is more efficient
depends on hardware and development environment; typically on 32-bit
systems they are padded to 96 bits, while on 64-bit systems they are
typically padded to 128 bits. np.longdouble
is padded to the system
default; np.float96
and np.float128
are provided for users who
want specific padding. In spite of the names, np.float96
and
np.float128
provide only as much precision as np.longdouble
,
that is, 80 bits on most x86 machines and 64 bits in standard
Windows builds.
Be warned that even if np.longdouble
offers more precision than
python float
, it is easy to lose that extra precision, since
python often forces values to pass through float
. For example,
the %
formatting operator requires its arguments to be converted
to standard python types, and it is therefore impossible to preserve
extended precision even if many decimal places are requested. It can
be useful to test your code with the value
1 + np.finfo(np.longdouble).eps
.