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<h1>Package rand</h1>
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<p>
Package rand implements pseudo-random number generators.
</p>
<p>
Random numbers are generated by a Source. Top-level functions, such as
Float64 and Int, use a default shared Source that produces a deterministic
sequence of values each time a program is run. Use the Seed function to
initialize the default Source if different behavior is required for each run.
The default Source is safe for concurrent use by multiple goroutines.
</p>
<p>
For random numbers suitable for security-sensitive work, see the crypto/rand
package.
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<p class="exampleHeading toggleButton"><span class="text">Example</span></p>
<p>Code:</p>
<pre class="code">rand.Seed(42) <span class="comment">// Try changing this number!</span>
answers := []string{
&#34;It is certain&#34;,
&#34;It is decidedly so&#34;,
&#34;Without a doubt&#34;,
&#34;Yes definitely&#34;,
&#34;You may rely on it&#34;,
&#34;As I see it yes&#34;,
&#34;Most likely&#34;,
&#34;Outlook good&#34;,
&#34;Yes&#34;,
&#34;Signs point to yes&#34;,
&#34;Reply hazy try again&#34;,
&#34;Ask again later&#34;,
&#34;Better not tell you now&#34;,
&#34;Cannot predict now&#34;,
&#34;Concentrate and ask again&#34;,
&#34;Don&#39;t count on it&#34;,
&#34;My reply is no&#34;,
&#34;My sources say no&#34;,
&#34;Outlook not so good&#34;,
&#34;Very doubtful&#34;,
}
fmt.Println(&#34;Magic 8-Ball says:&#34;, answers[rand.Intn(len(answers))])
<span class="comment"></pre>
<p>Output:</p>
<pre class="output">Magic 8-Ball says: As I see it yes
</pre>
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<p class="exampleHeading toggleButton"><span class="text">Example (Rand)</span></p>
<p>This example shows the use of each of the methods on a *Rand.
The use of the global functions is the same, without the receiver.
</p>
<p>Code:</p>
<pre class="code"><span class="comment">// Create and seed the generator.</span>
<span class="comment">// Typically a non-fixed seed should be used, such as time.Now().UnixNano().</span>
<span class="comment">// Using a fixed seed will produce the same output on every run.</span>
r := rand.New(rand.NewSource(99))
<span class="comment">// The tabwriter here helps us generate aligned output.</span>
w := tabwriter.NewWriter(os.Stdout, 1, 1, 1, &#39; &#39;, 0)
defer w.Flush()
show := func(name string, v1, v2, v3 interface{}) {
fmt.Fprintf(w, &#34;%s\t%v\t%v\t%v\n&#34;, name, v1, v2, v3)
}
<span class="comment">// Float32 and Float64 values are in [0, 1).</span>
show(&#34;Float32&#34;, r.Float32(), r.Float32(), r.Float32())
show(&#34;Float64&#34;, r.Float64(), r.Float64(), r.Float64())
<span class="comment">// ExpFloat64 values have an average of 1 but decay exponentially.</span>
show(&#34;ExpFloat64&#34;, r.ExpFloat64(), r.ExpFloat64(), r.ExpFloat64())
<span class="comment">// NormFloat64 values have an average of 0 and a standard deviation of 1.</span>
show(&#34;NormFloat64&#34;, r.NormFloat64(), r.NormFloat64(), r.NormFloat64())
<span class="comment">// Int31, Int63, and Uint32 generate values of the given width.</span>
<span class="comment">// The Int method (not shown) is like either Int31 or Int63</span>
<span class="comment">// depending on the size of &#39;int&#39;.</span>
show(&#34;Int31&#34;, r.Int31(), r.Int31(), r.Int31())
show(&#34;Int63&#34;, r.Int63(), r.Int63(), r.Int63())
show(&#34;Uint32&#34;, r.Uint32(), r.Uint32(), r.Uint32())
<span class="comment">// Intn, Int31n, and Int63n limit their output to be &lt; n.</span>
<span class="comment">// They do so more carefully than using r.Int()%n.</span>
show(&#34;Intn(10)&#34;, r.Intn(10), r.Intn(10), r.Intn(10))
show(&#34;Int31n(10)&#34;, r.Int31n(10), r.Int31n(10), r.Int31n(10))
show(&#34;Int63n(10)&#34;, r.Int63n(10), r.Int63n(10), r.Int63n(10))
<span class="comment">// Perm generates a random permutation of the numbers [0, n).</span>
show(&#34;Perm&#34;, r.Perm(5), r.Perm(5), r.Perm(5))
<span class="comment"></pre>
<p>Output:</p>
<pre class="output">Float32 0.2635776 0.6358173 0.6718283
Float64 0.628605430454327 0.4504798828572669 0.9562755949377957
ExpFloat64 0.3362240648200941 1.4256072328483647 0.24354758816173044
NormFloat64 0.17233959114940064 1.577014951434847 0.04259129641113857
Int31 1501292890 1486668269 182840835
Int63 3546343826724305832 5724354148158589552 5239846799706671610
Uint32 2760229429 296659907 1922395059
Intn(10) 1 2 5
Int31n(10) 4 7 8
Int63n(10) 7 6 3
Perm [1 4 2 3 0] [4 2 1 3 0] [1 2 4 0 3]
</pre>
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<dd><a href="index.html#ExpFloat64">func ExpFloat64() float64</a></dd>
<dd><a href="index.html#Float32">func Float32() float32</a></dd>
<dd><a href="index.html#Float64">func Float64() float64</a></dd>
<dd><a href="index.html#Int">func Int() int</a></dd>
<dd><a href="index.html#Int31">func Int31() int32</a></dd>
<dd><a href="index.html#Int31n">func Int31n(n int32) int32</a></dd>
<dd><a href="index.html#Int63">func Int63() int64</a></dd>
<dd><a href="index.html#Int63n">func Int63n(n int64) int64</a></dd>
<dd><a href="index.html#Intn">func Intn(n int) int</a></dd>
<dd><a href="index.html#NormFloat64">func NormFloat64() float64</a></dd>
<dd><a href="index.html#Perm">func Perm(n int) []int</a></dd>
<dd><a href="index.html#Read">func Read(p []byte) (n int, err error)</a></dd>
<dd><a href="index.html#Seed">func Seed(seed int64)</a></dd>
<dd><a href="index.html#Uint32">func Uint32() uint32</a></dd>
<dd><a href="index.html#Rand">type Rand</a></dd>
<dd>&nbsp; &nbsp; <a href="index.html#New">func New(src Source) *Rand</a></dd>
<dd>&nbsp; &nbsp; <a href="index.html#Rand.ExpFloat64">func (r *Rand) ExpFloat64() float64</a></dd>
<dd>&nbsp; &nbsp; <a href="index.html#Rand.Float32">func (r *Rand) Float32() float32</a></dd>
<dd>&nbsp; &nbsp; <a href="index.html#Rand.Float64">func (r *Rand) Float64() float64</a></dd>
<dd>&nbsp; &nbsp; <a href="index.html#Rand.Int">func (r *Rand) Int() int</a></dd>
<dd>&nbsp; &nbsp; <a href="index.html#Rand.Int31">func (r *Rand) Int31() int32</a></dd>
<dd>&nbsp; &nbsp; <a href="index.html#Rand.Int31n">func (r *Rand) Int31n(n int32) int32</a></dd>
<dd>&nbsp; &nbsp; <a href="index.html#Rand.Int63">func (r *Rand) Int63() int64</a></dd>
<dd>&nbsp; &nbsp; <a href="index.html#Rand.Int63n">func (r *Rand) Int63n(n int64) int64</a></dd>
<dd>&nbsp; &nbsp; <a href="index.html#Rand.Intn">func (r *Rand) Intn(n int) int</a></dd>
<dd>&nbsp; &nbsp; <a href="index.html#Rand.NormFloat64">func (r *Rand) NormFloat64() float64</a></dd>
<dd>&nbsp; &nbsp; <a href="index.html#Rand.Perm">func (r *Rand) Perm(n int) []int</a></dd>
<dd>&nbsp; &nbsp; <a href="index.html#Rand.Read">func (r *Rand) Read(p []byte) (n int, err error)</a></dd>
<dd>&nbsp; &nbsp; <a href="index.html#Rand.Seed">func (r *Rand) Seed(seed int64)</a></dd>
<dd>&nbsp; &nbsp; <a href="index.html#Rand.Uint32">func (r *Rand) Uint32() uint32</a></dd>
<dd><a href="index.html#Source">type Source</a></dd>
<dd>&nbsp; &nbsp; <a href="index.html#NewSource">func NewSource(seed int64) Source</a></dd>
<dd><a href="index.html#Zipf">type Zipf</a></dd>
<dd>&nbsp; &nbsp; <a href="index.html#NewZipf">func NewZipf(r *Rand, s float64, v float64, imax uint64) *Zipf</a></dd>
<dd>&nbsp; &nbsp; <a href="index.html#Zipf.Uint64">func (z *Zipf) Uint64() uint64</a></dd>
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<dd><a class="exampleLink" href="index.html#example_">Package</a></dd>
<dd><a class="exampleLink" href="index.html#example__rand">Package (Rand)</a></dd>
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<h4>Package files</h4>
<p>
<span style="font-size:90%">
<a href="http://localhost:6060/src/math/rand/exp.go">exp.go</a>
<a href="http://localhost:6060/src/math/rand/normal.go">normal.go</a>
<a href="http://localhost:6060/src/math/rand/rand.go">rand.go</a>
<a href="http://localhost:6060/src/math/rand/rng.go">rng.go</a>
<a href="http://localhost:6060/src/math/rand/zipf.go">zipf.go</a>
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<p>
In the call graph viewer below, each node
is a function belonging to this package
and its children are the functions it
calls&mdash;perhaps dynamically.
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<p>
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package: functions that may be called from
outside the package.
There may be non-exported or anonymous
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<h2 id="ExpFloat64">func <a href="http://localhost:6060/src/math/rand/rand.go?s=8279:8304#L240">ExpFloat64</a></h2>
<pre>func ExpFloat64() <a href="../../builtin/index.html#float64">float64</a></pre>
<p>
ExpFloat64 returns an exponentially distributed float64 in the range
(0, +math.MaxFloat64] with an exponential distribution whose rate parameter
(lambda) is 1 and whose mean is 1/lambda (1) from the default Source.
To produce a distribution with a different rate parameter,
callers can adjust the output using:
</p>
<pre>sample = ExpFloat64() / desiredRateParameter
</pre>
<h2 id="Float32">func <a href="http://localhost:6060/src/math/rand/rand.go?s=7061:7083#L211">Float32</a></h2>
<pre>func Float32() <a href="../../builtin/index.html#float32">float32</a></pre>
<p>
Float32 returns, as a float32, a pseudo-random number in [0.0,1.0)
from the default Source.
</p>
<h2 id="Float64">func <a href="http://localhost:6060/src/math/rand/rand.go?s=6907:6929#L207">Float64</a></h2>
<pre>func Float64() <a href="../../builtin/index.html#float64">float64</a></pre>
<p>
Float64 returns, as a float64, a pseudo-random number in [0.0,1.0)
from the default Source.
</p>
<h2 id="Int">func <a href="http://localhost:6060/src/math/rand/rand.go?s=6210:6224#L188">Int</a></h2>
<pre>func Int() <a href="../../builtin/index.html#int">int</a></pre>
<p>
Int returns a non-negative pseudo-random int from the default Source.
</p>
<h2 id="Int31">func <a href="http://localhost:6060/src/math/rand/rand.go?s=6087:6105#L185">Int31</a></h2>
<pre>func Int31() <a href="../../builtin/index.html#int32">int32</a></pre>
<p>
Int31 returns a non-negative pseudo-random 31-bit integer as an int32
from the default Source.
</p>
<h2 id="Int31n">func <a href="http://localhost:6060/src/math/rand/rand.go?s=6572:6598#L198">Int31n</a></h2>
<pre>func Int31n(n <a href="../../builtin/index.html#int32">int32</a>) <a href="../../builtin/index.html#int32">int32</a></pre>
<p>
Int31n returns, as an int32, a non-negative pseudo-random number in [0,n)
from the default Source.
It panics if n &lt;= 0.
</p>
<h2 id="Int63">func <a href="http://localhost:6060/src/math/rand/rand.go?s=5796:5814#L177">Int63</a></h2>
<pre>func Int63() <a href="../../builtin/index.html#int64">int64</a></pre>
<p>
Int63 returns a non-negative pseudo-random 63-bit integer as an int64
from the default Source.
</p>
<h2 id="Int63n">func <a href="http://localhost:6060/src/math/rand/rand.go?s=6383:6409#L193">Int63n</a></h2>
<pre>func Int63n(n <a href="../../builtin/index.html#int64">int64</a>) <a href="../../builtin/index.html#int64">int64</a></pre>
<p>
Int63n returns, as an int64, a non-negative pseudo-random number in [0,n)
from the default Source.
It panics if n &lt;= 0.
</p>
<h2 id="Intn">func <a href="http://localhost:6060/src/math/rand/rand.go?s=6757:6777#L203">Intn</a></h2>
<pre>func Intn(n <a href="../../builtin/index.html#int">int</a>) <a href="../../builtin/index.html#int">int</a></pre>
<p>
Intn returns, as an int, a non-negative pseudo-random number in [0,n)
from the default Source.
It panics if n &lt;= 0.
</p>
<h2 id="NormFloat64">func <a href="http://localhost:6060/src/math/rand/rand.go?s=7834:7860#L230">NormFloat64</a></h2>
<pre>func NormFloat64() <a href="../../builtin/index.html#float64">float64</a></pre>
<p>
NormFloat64 returns a normally distributed float64 in the range
[-math.MaxFloat64, +math.MaxFloat64] with
standard normal distribution (mean = 0, stddev = 1)
from the default Source.
To produce a different normal distribution, callers can
adjust the output using:
</p>
<pre>sample = NormFloat64() * desiredStdDev + desiredMean
</pre>
<h2 id="Perm">func <a href="http://localhost:6060/src/math/rand/rand.go?s=7234:7256#L215">Perm</a></h2>
<pre>func Perm(n <a href="../../builtin/index.html#int">int</a>) []<a href="../../builtin/index.html#int">int</a></pre>
<p>
Perm returns, as a slice of n ints, a pseudo-random permutation of the integers [0,n)
from the default Source.
</p>
<h2 id="Read">func <a href="http://localhost:6060/src/math/rand/rand.go?s=7419:7457#L219">Read</a></h2>
<pre>func Read(p []<a href="../../builtin/index.html#byte">byte</a>) (n <a href="../../builtin/index.html#int">int</a>, err <a href="../../builtin/index.html#error">error</a>)</pre>
<p>
Read generates len(p) random bytes from the default Source and
writes them into p. It always returns len(p) and a nil error.
</p>
<h2 id="Seed">func <a href="http://localhost:6060/src/math/rand/rand.go?s=5646:5667#L173">Seed</a></h2>
<pre>func Seed(seed <a href="../../builtin/index.html#int64">int64</a>)</pre>
<p>
Seed uses the provided seed value to initialize the default Source to a
deterministic state. If Seed is not called, the generator behaves as
if seeded by Seed(1).
</p>
<h2 id="Uint32">func <a href="http://localhost:6060/src/math/rand/rand.go?s=5933:5953#L181">Uint32</a></h2>
<pre>func Uint32() <a href="../../builtin/index.html#uint32">uint32</a></pre>
<p>
Uint32 returns a pseudo-random 32-bit value as a uint32
from the default Source.
</p>
<h2 id="Rand">type <a href="http://localhost:6060/src/math/rand/rand.go?s=1105:1137#L24">Rand</a></h2>
<pre>type Rand struct {
<span class="comment">// contains filtered or unexported fields</span>
}</pre>
<p>
A Rand is a source of random numbers.
</p>
<h3 id="New">func <a href="http://localhost:6060/src/math/rand/rand.go?s=1234:1260#L30">New</a></h3>
<pre>func New(src <a href="index.html#Source">Source</a>) *<a href="index.html#Rand">Rand</a></pre>
<p>
New returns a new Rand that uses random values from src
to generate other random values.
</p>
<h3 id="Rand.ExpFloat64">func (*Rand) <a href="http://localhost:6060/src/math/rand/exp.go?s=765:800#L21">ExpFloat64</a></h3>
<pre>func (r *<a href="index.html#Rand">Rand</a>) ExpFloat64() <a href="../../builtin/index.html#float64">float64</a></pre>
<p>
ExpFloat64 returns an exponentially distributed float64 in the range
(0, +math.MaxFloat64] with an exponential distribution whose rate parameter
(lambda) is 1 and whose mean is 1/lambda (1).
To produce a distribution with a different rate parameter,
callers can adjust the output using:
</p>
<pre>sample = ExpFloat64() / desiredRateParameter
</pre>
<h3 id="Rand.Float32">func (*Rand) <a href="http://localhost:6060/src/math/rand/rand.go?s=4125:4157#L123">Float32</a></h3>
<pre>func (r *<a href="index.html#Rand">Rand</a>) Float32() <a href="../../builtin/index.html#float32">float32</a></pre>
<p>
Float32 returns, as a float32, a pseudo-random number in [0.0,1.0).
</p>
<h3 id="Rand.Float64">func (*Rand) <a href="http://localhost:6060/src/math/rand/rand.go?s=3113:3145#L97">Float64</a></h3>
<pre>func (r *<a href="index.html#Rand">Rand</a>) Float64() <a href="../../builtin/index.html#float64">float64</a></pre>
<p>
Float64 returns, as a float64, a pseudo-random number in [0.0,1.0).
</p>
<h3 id="Rand.Int">func (*Rand) <a href="http://localhost:6060/src/math/rand/rand.go?s=1872:1896#L45">Int</a></h3>
<pre>func (r *<a href="index.html#Rand">Rand</a>) Int() <a href="../../builtin/index.html#int">int</a></pre>
<p>
Int returns a non-negative pseudo-random int.
</p>
<h3 id="Rand.Int31">func (*Rand) <a href="http://localhost:6060/src/math/rand/rand.go?s=1759:1787#L42">Int31</a></h3>
<pre>func (r *<a href="index.html#Rand">Rand</a>) Int31() <a href="../../builtin/index.html#int32">int32</a></pre>
<p>
Int31 returns a non-negative pseudo-random 31-bit integer as an int32.
</p>
<h3 id="Rand.Int31n">func (*Rand) <a href="http://localhost:6060/src/math/rand/rand.go?s=2478:2514#L69">Int31n</a></h3>
<pre>func (r *<a href="index.html#Rand">Rand</a>) Int31n(n <a href="../../builtin/index.html#int32">int32</a>) <a href="../../builtin/index.html#int32">int32</a></pre>
<p>
Int31n returns, as an int32, a non-negative pseudo-random number in [0,n).
It panics if n &lt;= 0.
</p>
<h3 id="Rand.Int63">func (*Rand) <a href="http://localhost:6060/src/math/rand/rand.go?s=1503:1531#L36">Int63</a></h3>
<pre>func (r *<a href="index.html#Rand">Rand</a>) Int63() <a href="../../builtin/index.html#int64">int64</a></pre>
<p>
Int63 returns a non-negative pseudo-random 63-bit integer as an int64.
</p>
<h3 id="Rand.Int63n">func (*Rand) <a href="http://localhost:6060/src/math/rand/rand.go?s=2085:2121#L52">Int63n</a></h3>
<pre>func (r *<a href="index.html#Rand">Rand</a>) Int63n(n <a href="../../builtin/index.html#int64">int64</a>) <a href="../../builtin/index.html#int64">int64</a></pre>
<p>
Int63n returns, as an int64, a non-negative pseudo-random number in [0,n).
It panics if n &lt;= 0.
</p>
<h3 id="Rand.Intn">func (*Rand) <a href="http://localhost:6060/src/math/rand/rand.go?s=2867:2897#L86">Intn</a></h3>
<pre>func (r *<a href="index.html#Rand">Rand</a>) Intn(n <a href="../../builtin/index.html#int">int</a>) <a href="../../builtin/index.html#int">int</a></pre>
<p>
Intn returns, as an int, a non-negative pseudo-random number in [0,n).
It panics if n &lt;= 0.
</p>
<h3 id="Rand.NormFloat64">func (*Rand) <a href="http://localhost:6060/src/math/rand/normal.go?s=804:840#L28">NormFloat64</a></h3>
<pre>func (r *<a href="index.html#Rand">Rand</a>) NormFloat64() <a href="../../builtin/index.html#float64">float64</a></pre>
<p>
NormFloat64 returns a normally distributed float64 in the range
[-math.MaxFloat64, +math.MaxFloat64] with
standard normal distribution (mean = 0, stddev = 1).
To produce a different normal distribution, callers can
adjust the output using:
</p>
<pre>sample = NormFloat64() * desiredStdDev + desiredMean
</pre>
<h3 id="Rand.Perm">func (*Rand) <a href="http://localhost:6060/src/math/rand/rand.go?s=4585:4617#L136">Perm</a></h3>
<pre>func (r *<a href="index.html#Rand">Rand</a>) Perm(n <a href="../../builtin/index.html#int">int</a>) []<a href="../../builtin/index.html#int">int</a></pre>
<p>
Perm returns, as a slice of n ints, a pseudo-random permutation of the integers [0,n).
</p>
<h3 id="Rand.Read">func (*Rand) <a href="http://localhost:6060/src/math/rand/rand.go?s=5159:5207#L153">Read</a></h3>
<pre>func (r *<a href="index.html#Rand">Rand</a>) Read(p []<a href="../../builtin/index.html#byte">byte</a>) (n <a href="../../builtin/index.html#int">int</a>, err <a href="../../builtin/index.html#error">error</a>)</pre>
<p>
Read generates len(p) random bytes and writes them into p. It
always returns len(p) and a nil error.
</p>
<h3 id="Rand.Seed">func (*Rand) <a href="http://localhost:6060/src/math/rand/rand.go?s=1375:1406#L33">Seed</a></h3>
<pre>func (r *<a href="index.html#Rand">Rand</a>) Seed(seed <a href="../../builtin/index.html#int64">int64</a>)</pre>
<p>
Seed uses the provided seed value to initialize the generator to a deterministic state.
</p>
<h3 id="Rand.Uint32">func (*Rand) <a href="http://localhost:6060/src/math/rand/rand.go?s=1618:1648#L39">Uint32</a></h3>
<pre>func (r *<a href="index.html#Rand">Rand</a>) Uint32() <a href="../../builtin/index.html#uint32">uint32</a></pre>
<p>
Uint32 returns a pseudo-random 32-bit value as a uint32.
</p>
<h2 id="Source">type <a href="http://localhost:6060/src/math/rand/rand.go?s=840:898#L11">Source</a></h2>
<pre>type Source interface {
Int63() <a href="../../builtin/index.html#int64">int64</a>
Seed(seed <a href="../../builtin/index.html#int64">int64</a>)
}</pre>
<p>
A Source represents a source of uniformly-distributed
pseudo-random int64 values in the range [0, 1&lt;&lt;63).
</p>
<h3 id="NewSource">func <a href="http://localhost:6060/src/math/rand/rand.go?s=977:1010#L17">NewSource</a></h3>
<pre>func NewSource(seed <a href="../../builtin/index.html#int64">int64</a>) <a href="index.html#Source">Source</a></pre>
<p>
NewSource returns a new pseudo-random Source seeded with the given value.
</p>
<h2 id="Zipf">type <a href="http://localhost:6060/src/math/rand/zipf.go?s=411:627#L5">Zipf</a></h2>
<pre>type Zipf struct {
<span class="comment">// contains filtered or unexported fields</span>
}</pre>
<p>
A Zipf generates Zipf distributed variates.
</p>
<h3 id="NewZipf">func <a href="http://localhost:6060/src/math/rand/zipf.go?s=1024:1086#L29">NewZipf</a></h3>
<pre>func NewZipf(r *<a href="index.html#Rand">Rand</a>, s <a href="../../builtin/index.html#float64">float64</a>, v <a href="../../builtin/index.html#float64">float64</a>, imax <a href="../../builtin/index.html#uint64">uint64</a>) *<a href="index.html#Zipf">Zipf</a></pre>
<p>
NewZipf returns a Zipf variate generator.
The generator generates values k ∈ [0, imax]
such that P(k) is proportional to (v + k) ** (-s).
Requirements: s &gt; 1 and v &gt;= 1.
</p>
<h3 id="Zipf.Uint64">func (*Zipf) <a href="http://localhost:6060/src/math/rand/zipf.go?s=1517:1547#L48">Uint64</a></h3>
<pre>func (z *<a href="index.html#Zipf">Zipf</a>) Uint64() <a href="../../builtin/index.html#uint64">uint64</a></pre>
<p>
Uint64 returns a value drawn from the Zipf distribution described
by the Zipf object.
</p>
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