Extending¶
The BitGenerators have been designed to be extendable using standard tools for
high-performance Python – numba and Cython. The Generator object can also
be used with user-provided BitGenerators as long as these export a small set of
required functions.
Numba¶
Numba can be used with either CTypes or CFFI. The current iteration of the BitGenerators all export a small set of functions through both interfaces.
This example shows how numba can be used to produce gaussian samples using
a pure Python implementation which is then compiled. The random numbers are
provided by ctypes.next_double.
import numpy as np
import numba as nb
from numpy.random import PCG64
from timeit import timeit
bit_gen = PCG64()
next_d = bit_gen.cffi.next_double
state_addr = bit_gen.cffi.state_address
def normals(n, state):
out = np.empty(n)
for i in range((n + 1) // 2):
x1 = 2.0 * next_d(state) - 1.0
x2 = 2.0 * next_d(state) - 1.0
r2 = x1 * x1 + x2 * x2
while r2 >= 1.0 or r2 == 0.0:
x1 = 2.0 * next_d(state) - 1.0
x2 = 2.0 * next_d(state) - 1.0
r2 = x1 * x1 + x2 * x2
f = np.sqrt(-2.0 * np.log(r2) / r2)
out[2 * i] = f * x1
if 2 * i + 1 < n:
out[2 * i + 1] = f * x2
return out
# Compile using Numba
normalsj = nb.jit(normals, nopython=True)
# Must use state address not state with numba
n = 10000
def numbacall():
return normalsj(n, state_addr)
rg = np.random.Generator(PCG64())
def numpycall():
return rg.normal(size=n)
# Check that the functions work
r1 = numbacall()
r2 = numpycall()
assert r1.shape == (n,)
assert r1.shape == r2.shape
t1 = timeit(numbacall, number=1000)
print('{:.2f} secs for {} PCG64 (Numba/PCG64) gaussian randoms'.format(t1, n))
t2 = timeit(numpycall, number=1000)
print('{:.2f} secs for {} PCG64 (NumPy/PCG64) gaussian randoms'.format(t2, n))
Both CTypes and CFFI allow the more complicated distributions to be used
directly in Numba after compiling the file distributions.c into a DLL or
so. An example showing the use of a more complicated distribution is in
the examples section below.
Cython¶
Cython can be used to unpack the PyCapsule provided by a BitGenerator.
This example uses PCG64 and the example from above. The usual caveats
for writing high-performance code using Cython – removing bounds checks and
wrap around, providing array alignment information – still apply.
#!/usr/bin/env python3
#cython: language_level=3
"""
This file shows how the to use a BitGenerator to create a distribution.
"""
import numpy as np
cimport numpy as np
cimport cython
from cpython.pycapsule cimport PyCapsule_IsValid, PyCapsule_GetPointer
from libc.stdint cimport uint16_t, uint64_t
from numpy.random cimport bitgen_t
from numpy.random import PCG64
from numpy.random.c_distributions cimport (
random_standard_uniform_fill, random_standard_uniform_fill_f)
@cython.boundscheck(False)
@cython.wraparound(False)
def uniforms(Py_ssize_t n):
"""
Create an array of `n` uniformly distributed doubles.
A 'real' distribution would want to process the values into
some non-uniform distribution
"""
cdef Py_ssize_t i
cdef bitgen_t *rng
cdef const char *capsule_name = "BitGenerator"
cdef double[::1] random_values
x = PCG64()
capsule = x.capsule
# Optional check that the capsule if from a BitGenerator
if not PyCapsule_IsValid(capsule, capsule_name):
raise ValueError("Invalid pointer to anon_func_state")
# Cast the pointer
rng = <bitgen_t *> PyCapsule_GetPointer(capsule, capsule_name)
random_values = np.empty(n, dtype='float64')
with x.lock, nogil:
for i in range(n):
# Call the function
random_values[i] = rng.next_double(rng.state)
randoms = np.asarray(random_values)
return randoms
The BitGenerator can also be directly accessed using the members of the bitgen_t
struct.
@cython.boundscheck(False)
@cython.wraparound(False)
def uint10_uniforms(Py_ssize_t n):
"""Uniform 10 bit integers stored as 16-bit unsigned integers"""
cdef Py_ssize_t i
cdef bitgen_t *rng
cdef const char *capsule_name = "BitGenerator"
cdef uint16_t[::1] random_values
cdef int bits_remaining
cdef int width = 10
cdef uint64_t buff, mask = 0x3FF
x = PCG64()
capsule = x.capsule
if not PyCapsule_IsValid(capsule, capsule_name):
raise ValueError("Invalid pointer to anon_func_state")
rng = <bitgen_t *> PyCapsule_GetPointer(capsule, capsule_name)
random_values = np.empty(n, dtype='uint16')
# Best practice is to release GIL and acquire the lock
bits_remaining = 0
with x.lock, nogil:
for i in range(n):
if bits_remaining < width:
buff = rng.next_uint64(rng.state)
random_values[i] = buff & mask
buff >>= width
randoms = np.asarray(random_values)
return randoms
Cython can be used to directly access the functions in
numpy/random/c_distributions.pxd. This requires linking with the
npyrandom library located in numpy/random/lib.
def uniforms_ex(bit_generator, Py_ssize_t n, dtype=np.float64):
"""
Create an array of `n` uniformly distributed doubles via a "fill" function.
A 'real' distribution would want to process the values into
some non-uniform distribution
Parameters
----------
bit_generator: BitGenerator instance
n: int
Output vector length
dtype: {str, dtype}, optional
Desired dtype, either 'd' (or 'float64') or 'f' (or 'float32'). The
default dtype value is 'd'
"""
cdef Py_ssize_t i
cdef bitgen_t *rng
cdef const char *capsule_name = "BitGenerator"
cdef np.ndarray randoms
capsule = bit_generator.capsule
# Optional check that the capsule if from a BitGenerator
if not PyCapsule_IsValid(capsule, capsule_name):
raise ValueError("Invalid pointer to anon_func_state")
# Cast the pointer
rng = <bitgen_t *> PyCapsule_GetPointer(capsule, capsule_name)
_dtype = np.dtype(dtype)
randoms = np.empty(n, dtype=_dtype)
if _dtype == np.float32:
with bit_generator.lock:
random_standard_uniform_fill_f(rng, n, <float*>np.PyArray_DATA(randoms))
elif _dtype == np.float64:
with bit_generator.lock:
random_standard_uniform_fill(rng, n, <double*>np.PyArray_DATA(randoms))
else:
raise TypeError('Unsupported dtype %r for random' % _dtype)
return randoms
See Extending numpy.random via Cython for the complete listings of these examples
and a minimal setup.py to build the c-extension modules.
CFFI¶
CFFI can be used to directly access the functions in
include/numpy/random/distributions.h. Some “massaging” of the header
file is required:
"""
Use cffi to access any of the underlying C functions from distributions.h
"""
import os
import numpy as np
import cffi
from .parse import parse_distributions_h
ffi = cffi.FFI()
inc_dir = os.path.join(np.get_include(), 'numpy')
# Basic numpy types
ffi.cdef('''
typedef intptr_t npy_intp;
typedef unsigned char npy_bool;
''')
parse_distributions_h(ffi, inc_dir)
Once the header is parsed by ffi.cdef, the functions can be accessed
directly from the _generator shared object, using the BitGenerator.cffi interface.
# Compare the distributions.h random_standard_normal_fill to
# Generator.standard_random
bit_gen = np.random.PCG64()
rng = np.random.Generator(bit_gen)
state = bit_gen.state
interface = rng.bit_generator.cffi
n = 100
vals_cffi = ffi.new('double[%d]' % n)
lib.random_standard_normal_fill(interface.bit_generator, n, vals_cffi)
# reset the state
bit_gen.state = state
vals = rng.standard_normal(n)
for i in range(n):
assert vals[i] == vals_cffi[i]
New Bit Generators¶
Generator can be used with user-provided BitGenerators. The simplest
way to write a new BitGenerator is to examine the pyx file of one of the
existing BitGenerators. The key structure that must be provided is the
capsule which contains a PyCapsule to a struct pointer of type
bitgen_t,
typedef struct bitgen {
void *state;
uint64_t (*next_uint64)(void *st);
uint32_t (*next_uint32)(void *st);
double (*next_double)(void *st);
uint64_t (*next_raw)(void *st);
} bitgen_t;
which provides 5 pointers. The first is an opaque pointer to the data structure
used by the BitGenerators. The next three are function pointers which return
the next 64- and 32-bit unsigned integers, the next random double and the next
raw value. This final function is used for testing and so can be set to
the next 64-bit unsigned integer function if not needed. Functions inside
Generator use this structure as in
bitgen_state->next_uint64(bitgen_state->state)