`numpy.random`

)

Random sampling (Numpy’s random number routines produce pseudo random numbers using
combinations of a *BitGenerator* to create sequences and a `Generator`

to use those sequences to sample from different statistical distributions:

- BitGenerators: Objects that generate random numbers. These are typically unsigned integer words filled with sequences of either 32 or 64 random bits.
- Generators: Objects that transform sequences of random bits from a BitGenerator into sequences of numbers that follow a specific probability distribution (such as uniform, Normal or Binomial) within a specified interval.

Since Numpy version 1.17.0 the Generator can be initialized with a
number of different BitGenerators. It exposes many different probability
distributions. See NEP 19 for context on the updated random Numpy number
routines. The legacy `RandomState`

random number routines are still
available, but limited to a single BitGenerator.

For convenience and backward compatibility, a single `RandomState`

instance’s methods are imported into the numpy.random namespace, see
Legacy Random Generation for the complete list.

## Quick Start

By default, `Generator`

uses bits provided by `PCG64`

which
has better statistical properties than the legacy mt19937 random
number generator in `RandomState`

.

```
# Uses the old numpy.random.RandomState
from numpy import random
random.standard_normal()
```

`Generator`

can be used as a direct replacement for RandomState, although the random values are generated by `PCG64`

. The `Generator`

holds an instance of a BitGenerator. It is accessible as `gen.bit_generator`

.

```
# As replacement for RandomState(); default_rng() instantiates Generator with
# the default PCG64 BitGenerator.
from numpy.random import default_rng
rg = default_rng()
rg.standard_normal()
rg.bit_generator
```

Seeds can be passed to any of the BitGenerators. The provided value is mixed via `SeedSequence`

to spread a possible sequence of seeds across a wider range of initialization states for the BitGenerator. Here `PCG64`

is used and is wrapped with a `Generator`

.

```
from numpy.random import Generator, PCG64
rg = Generator(PCG64(12345))
rg.standard_normal()
```

## Introduction

The new infrastructure takes a different approach to producing random numbers
from the `RandomState`

object. Random number generation is separated into
two components, a bit generator and a random generator.

The *BitGenerator* has a limited set of responsibilities. It manages state
and provides functions to produce random doubles and random unsigned 32- and
64-bit values.

The `random generator`

takes the
bit generator-provided stream and transforms them into more useful
distributions, e.g., simulated normal random values. This structure allows
alternative bit generators to be used with little code duplication.

The `Generator`

is the user-facing object that is nearly identical to
`RandomState`

. The canonical method to initialize a generator passes a
`PCG64`

bit generator as the sole argument.

```
from numpy.random import default_rng
rg = default_rng(12345)
rg.random()
```

One can also instantiate `Generator`

directly with a *BitGenerator* instance.
To use the older `MT19937`

algorithm, one can instantiate it directly
and pass it to `Generator`

.

```
from numpy.random import Generator, MT19937
rg = Generator(MT19937(12345))
rg.random()
```

### What’s New or Different

Warning

The Box-Muller method used to produce NumPy’s normals is no longer available
in `Generator`

. It is not possible to reproduce the exact random
values using Generator for the normal distribution or any other
distribution that relies on the normal such as the `RandomState.gamma`

or
`RandomState.standard_t`

. If you require bitwise backward compatible
streams, use `RandomState`

.

- The Generator’s normal, exponential and gamma functions use 256-step Ziggurat methods which are 2-10 times faster than NumPy’s Box-Muller or inverse CDF implementations.
- Optional
`dtype`

argument that accepts`np.float32`

or`np.float64`

to produce either single or double prevision uniform random variables for select distributions - Optional
`out`

argument that allows existing arrays to be filled for select distributions `random_entropy`

provides access to the system source of randomness that is used in cryptographic applications (e.g.,`/dev/urandom`

on Unix).- All BitGenerators can produce doubles, uint64s and uint32s via CTypes
(
`ctypes`

) and CFFI (`cffi`

). This allows the bit generators to be used in numba. - The bit generators can be used in downstream projects via Cython.
`integers`

is now the canonical way to generate integer random numbers from a discrete uniform distribution. The`rand`

and`randn`

methods are only available through the legacy`RandomState`

. The`endpoint`

keyword can be used to specify open or closed intervals. This replaces both`randint`

and the deprecated`random_integers`

.`random`

is now the canonical way to generate floating-point random numbers, which replaces`RandomState.random_sample`

,*RandomState.sample*, and*RandomState.ranf*. This is consistent with Python’s`random.random`

.- All BitGenerators in numpy use
`SeedSequence`

to convert seeds into initialized states.

See What’s New or Different for a complete list of improvements and
differences from the traditional `Randomstate`

.

### Parallel Generation

The included generators can be used in parallel, distributed applications in one of three ways:

## Concepts

## Features

- Parallel Applications
- Multithreaded Generation
- What’s New or Different
- Comparing Performance
- Extending
- Reading System Entropy

### Original Source

This package was developed independently of NumPy and was integrated in version 1.17.0. The original repo is at https://github.com/bashtage/randomgen.