diff --git a/FastRng/MultiThreadedRng.cs b/FastRng/MultiThreadedRng.cs
index cf9c6b8..0e41672 100644
--- a/FastRng/MultiThreadedRng.cs
+++ b/FastRng/MultiThreadedRng.cs
@@ -1,12 +1,17 @@
using System;
using System.Diagnostics.CodeAnalysis;
-using System.Runtime.CompilerServices;
using System.Threading;
using System.Threading.Channels;
using System.Threading.Tasks;
+using FastRng.Distributions;
namespace FastRng
{
+ ///
+ /// This class uses the George Marsaglia's MWC algorithm. The algorithm's implementation based loosely on John D.
+ /// Cook's (johndcook.com) implementation (https://www.codeproject.com/Articles/25172/Simple-Random-Number-Generation).
+ /// Thanks John for your work.
+ ///
public sealed class MultiThreadedRng : IRandom
{
#if DEBUG
@@ -15,15 +20,23 @@ namespace FastRng
private const int CAPACITY_RANDOM_NUMBERS_4_SOURCE = 16_000_000;
#endif
- private static readonly object SYNC = new object();
-
- private readonly System.Random rng = new System.Random();
private readonly CancellationTokenSource producerToken = new CancellationTokenSource();
+ private readonly object syncUintGenerators = new object();
+ private readonly object syncUniformDistributedDoubleGenerators = new object();
+ private readonly Thread[] producerRandomUint = new Thread[2];
+ private readonly Thread[] producerRandomUniformDistributedDouble = new Thread[2];
- private readonly Thread producerRandom1;
- private readonly Thread producerRandom2;
+ private uint mW;
+ private uint mZ;
- private readonly Channel channelRandom = Channel.CreateBounded(new BoundedChannelOptions(CAPACITY_RANDOM_NUMBERS_4_SOURCE)
+ private readonly Channel channelRandomUint = Channel.CreateBounded(new BoundedChannelOptions(CAPACITY_RANDOM_NUMBERS_4_SOURCE)
+ {
+ FullMode = BoundedChannelFullMode.Wait,
+ SingleReader = false,
+ SingleWriter = false,
+ });
+
+ private readonly Channel channelRandomUniformDistributedDouble = Channel.CreateBounded(new BoundedChannelOptions(CAPACITY_RANDOM_NUMBERS_4_SOURCE)
{
FullMode = BoundedChannelFullMode.Wait,
SingleReader = false,
@@ -34,61 +47,61 @@ namespace FastRng
public MultiThreadedRng()
{
- this.producerRandom1 = new Thread(() => MultiThreadedRng.RandomProducer(this.rng, this.channelRandom.Writer, this.producerToken.Token)) {IsBackground = true};
- this.producerRandom2 = new Thread(() => MultiThreadedRng.RandomProducer(this.rng, this.channelRandom.Writer, this.producerToken.Token)) {IsBackground = true};
- this.producerRandom1.Start();
- this.producerRandom2.Start();
+ //
+ // Initialize the mW and mZ by using
+ // the system's time.
+ //
+ var now = DateTime.Now;
+ var ticks = now.Ticks;
+ this.mW = (uint) (ticks >> 16);
+ this.mZ = (uint) (ticks % 4294967296);
+ this.StartProducerThreads();
}
- public MultiThreadedRng(int seed)
+ public MultiThreadedRng(uint seedU)
{
- this.rng = new Random(seed);
+ this.mW = seedU;
+ this.mZ = 362436069;
+ this.StartProducerThreads();
+ }
+
+ public MultiThreadedRng(uint seedU, uint seedV)
+ {
+ this.mW = seedU;
+ this.mZ = seedV;
+ this.StartProducerThreads();
+ }
+
+ private void StartProducerThreads()
+ {
+ this.producerRandomUint[0] = new Thread(() => this.RandomProducerUint(this.channelRandomUint.Writer, this.producerToken.Token)) {IsBackground = true};
+ this.producerRandomUint[1] = new Thread(() => this.RandomProducerUint(this.channelRandomUint.Writer, this.producerToken.Token)) {IsBackground = true};
+ this.producerRandomUint[0].Start();
+ this.producerRandomUint[1].Start();
- this.producerRandom1 = new Thread(() => MultiThreadedRng.RandomProducer(this.rng, this.channelRandom.Writer, this.producerToken.Token)) {IsBackground = true};
- this.producerRandom2 = new Thread(() => MultiThreadedRng.RandomProducer(this.rng, this.channelRandom.Writer, this.producerToken.Token)) {IsBackground = true};
-
- this.producerRandom1.Start();
- this.producerRandom2.Start();
+ this.producerRandomUniformDistributedDouble[0] = new Thread(() => this.RandomProducerUniformDistributedDouble(this.channelRandomUint.Reader, channelRandomUniformDistributedDouble.Writer, this.producerToken.Token)) {IsBackground = true};
+ this.producerRandomUniformDistributedDouble[1] = new Thread(() => this.RandomProducerUniformDistributedDouble(this.channelRandomUint.Reader, channelRandomUniformDistributedDouble.Writer, this.producerToken.Token)) {IsBackground = true};
+ this.producerRandomUniformDistributedDouble[0].Start();
+ this.producerRandomUniformDistributedDouble[1].Start();
}
#endregion
-
+
+ #region Producers
+
[ExcludeFromCodeCoverage]
- private static async void RandomProducer(System.Random random, ChannelWriter channelWriter, CancellationToken cancellationToken)
+ private async void RandomProducerUint(ChannelWriter channelWriter, CancellationToken cancellationToken)
{
+ var buffer = new uint[CAPACITY_RANDOM_NUMBERS_4_SOURCE];
while (!cancellationToken.IsCancellationRequested)
{
- //
- // We using double as basis for anything. That's what .NET does internally as well, cf. https://github.com/dotnet/runtime/blob/6072e4d3a7a2a1493f514cdf4be75a3d56580e84/src/libraries/System.Private.CoreLib/src/System/Random.cs.
- // random.NextDouble() returns Sample(). Next(min, max) uses GetSampleForLargeRange().
- // Thus, we re-implement GetSampleForLargeRange() and use its numbers as source for everything.
- //
-
- var buffer = new double[CAPACITY_RANDOM_NUMBERS_4_SOURCE];
-
- //
- // Random is not thread-safe!
- // Because we using two threads, we ensure that one threads generates
- // next bag of numbers while the other pumps its numbers into the channel.
- //
- lock (SYNC)
+ lock (syncUintGenerators)
{
for (var n = 0; n < buffer.Length && !cancellationToken.IsCancellationRequested; n++)
{
- #region Re-implementation of GetSampleForLargeRange() method of .NET
-
- var result = random.Next(); // Notice: random.Next() is identical to InternalSample()
- var negative = random.Next() % 2 == 0; // Notice: random.Next() is identical to InternalSample()
- if (negative)
- result = -result;
-
- double d = result;
- d += (int.MaxValue - 1); // get a number in range [0 .. 2 * Int32MaxValue - 1)
- d /= 2 * (uint)int.MaxValue - 1;
-
- #endregion
-
- buffer[n] = d;
+ this.mZ = 36_969 * (this.mZ & 65_535) + (this.mZ >> 16);
+ this.mW = 18_000 * (this.mW & 65_535) + (this.mW >> 16);
+ buffer[n] = (this.mZ << 16) + this.mW;
}
}
@@ -96,25 +109,78 @@ namespace FastRng
await channelWriter.WriteAsync(buffer[n], cancellationToken);
}
}
+
+ [ExcludeFromCodeCoverage]
+ private async void RandomProducerUniformDistributedDouble(ChannelReader channelReaderUint, ChannelWriter channelWriter, CancellationToken cancellationToken)
+ {
+ var buffer = new double[CAPACITY_RANDOM_NUMBERS_4_SOURCE];
+ var randomUint = new uint[CAPACITY_RANDOM_NUMBERS_4_SOURCE];
+ while (!cancellationToken.IsCancellationRequested)
+ {
+ for (var n = 0; n < randomUint.Length; n++)
+ randomUint[n] = await channelReaderUint.ReadAsync(cancellationToken);
+
+ lock (syncUniformDistributedDoubleGenerators)
+ for (var n = 0; n < buffer.Length && !cancellationToken.IsCancellationRequested; n++)
+ buffer[n] = (randomUint[n] + 1.0) * 2.328306435454494e-10; // 2.328 => 1/(2^32 + 2)
+
+ for (var n = 0; n < buffer.Length && !cancellationToken.IsCancellationRequested; n++)
+ await channelWriter.WriteAsync(buffer[n], cancellationToken);
+ }
+ }
+
+ #endregion
#region Implementing interface
- public async Task NextNumber(uint rangeStart, uint rangeEnd, CancellationToken cancel = default(CancellationToken))
+ public async Task GetUniformDouble(CancellationToken cancel = default) => await this.channelRandomUniformDistributedDouble.Reader.ReadAsync(cancel);
+
+ public async Task NextNumber(uint rangeStart, uint rangeEnd, IDistribution distribution, CancellationToken cancel = default)
{
+ if (rangeStart > rangeEnd)
+ {
+ var tmp = rangeStart;
+ rangeStart = rangeEnd;
+ rangeEnd = tmp;
+ }
+
var range = rangeEnd - rangeStart;
- return (uint) ((await this.channelRandom.Reader.ReadAsync(cancel) * range) + rangeStart);
+ distribution.Random = this;
+
+ var distributedValue = await distribution.GetDistributedValue(cancel);
+ return (uint) ((distributedValue * range) + rangeStart);
}
- public async Task NextNumber(ulong rangeStart, ulong rangeEnd, CancellationToken cancel = default(CancellationToken))
+ public async Task NextNumber(ulong rangeStart, ulong rangeEnd, IDistribution distribution, CancellationToken cancel = default(CancellationToken))
{
+ if (rangeStart > rangeEnd)
+ {
+ var tmp = rangeStart;
+ rangeStart = rangeEnd;
+ rangeEnd = tmp;
+ }
+
var range = rangeEnd - rangeStart;
- return (ulong) ((await this.channelRandom.Reader.ReadAsync(cancel) * range) + rangeStart);
+ distribution.Random = this;
+
+ var distributedValue = await distribution.GetDistributedValue(cancel);
+ return (ulong) ((distributedValue * range) + rangeStart);
}
- public async Task NextNumber(float rangeStart, float rangeEnd, CancellationToken cancel = default(CancellationToken))
+ public async Task NextNumber(float rangeStart, float rangeEnd, IDistribution distribution, CancellationToken cancel = default(CancellationToken))
{
+ if (rangeStart > rangeEnd)
+ {
+ var tmp = rangeStart;
+ rangeStart = rangeEnd;
+ rangeEnd = tmp;
+ }
+
var range = rangeEnd - rangeStart;
- return (float) ((await this.channelRandom.Reader.ReadAsync(cancel) * range) + rangeStart);
+ distribution.Random = this;
+
+ var distributedValue = await distribution.GetDistributedValue(cancel);
+ return (float) ((distributedValue * range) + rangeStart);
}
public void StopProducer() => this.producerToken.Cancel();
diff --git a/FastRngTests/MultiThreadedRngTests.cs b/FastRngTests/MultiThreadedRngTests.cs
index 082219c..94e66e4 100644
--- a/FastRngTests/MultiThreadedRngTests.cs
+++ b/FastRngTests/MultiThreadedRngTests.cs
@@ -3,6 +3,7 @@ using System.Diagnostics.CodeAnalysis;
using System.Linq;
using System.Threading.Tasks;
using FastRng;
+using FastRng.Distributions;
using NUnit.Framework;
namespace FastRngTests
@@ -17,8 +18,9 @@ namespace FastRngTests
[Category(TestCategories.NORMAL)]
public async Task TestRange01Uint()
{
+ var dist = new Uniform();
for (uint n = 0; n < 1_000_000; n++)
- Assert.That(await rng.NextNumber(n, 100_000 + n), Is.InRange(n, 100_000 + n));
+ Assert.That(await rng.NextNumber(n, 100_000 + n, dist), Is.InRange(n, 100_000 + n));
}
[Test]
@@ -26,8 +28,9 @@ namespace FastRngTests
[Category(TestCategories.NORMAL)]
public async Task TestRange01Ulong()
{
+ var dist = new Uniform();
for (ulong n = 0; n < 1_000_000; n++)
- Assert.That(await rng.NextNumber(n, 100_000 + n), Is.InRange(n, 100_000 + n));
+ Assert.That(await rng.NextNumber(n, 100_000 + n, dist), Is.InRange(n, 100_000 + n));
}
[Test]
@@ -35,8 +38,9 @@ namespace FastRngTests
[Category(TestCategories.NORMAL)]
public async Task TestRange01Float()
{
+ var dist = new Uniform();
for (var n = 0f; n < 1e6f; n++)
- Assert.That(await rng.NextNumber(n, 100_000 + n), Is.InRange(n, 100_000 + n));
+ Assert.That(await rng.NextNumber(n, 100_000 + n, dist), Is.InRange(n, 100_000 + n));
}
[Test]
@@ -44,9 +48,10 @@ namespace FastRngTests
[Category(TestCategories.NORMAL)]
public async Task TestRange02Uint()
{
- Assert.That(await rng.NextNumber(5, 5), Is.EqualTo(5));
- Assert.That(await rng.NextNumber(0, 0), Is.EqualTo(0));
- Assert.That(await rng.NextNumber(3_000_000_000, 3_000_000_000), Is.EqualTo(3_000_000_000));
+ var dist = new Uniform();
+ Assert.That(await rng.NextNumber(5, 5, dist), Is.EqualTo(5));
+ Assert.That(await rng.NextNumber(0, 0, dist), Is.EqualTo(0));
+ Assert.That(await rng.NextNumber(3_000_000_000, 3_000_000_000, dist), Is.EqualTo(3_000_000_000));
}
[Test]
@@ -54,9 +59,10 @@ namespace FastRngTests
[Category(TestCategories.NORMAL)]
public async Task TestRange02Ulong()
{
- Assert.That(await rng.NextNumber(5UL, 5), Is.EqualTo(5));
- Assert.That(await rng.NextNumber(0UL, 0), Is.EqualTo(0));
- Assert.That(await rng.NextNumber(3_000_000_000UL, 3_000_000_000), Is.EqualTo(3_000_000_000));
+ var dist = new Uniform();
+ Assert.That(await rng.NextNumber(5UL, 5, dist), Is.EqualTo(5));
+ Assert.That(await rng.NextNumber(0UL, 0, dist), Is.EqualTo(0));
+ Assert.That(await rng.NextNumber(3_000_000_000UL, 3_000_000_000, dist), Is.EqualTo(3_000_000_000));
}
[Test]
@@ -64,9 +70,10 @@ namespace FastRngTests
[Category(TestCategories.NORMAL)]
public async Task TestRange02Float()
{
- Assert.That(await rng.NextNumber(5f, 5f), Is.EqualTo(5));
- Assert.That(await rng.NextNumber(0f, 0f), Is.EqualTo(0));
- Assert.That(await rng.NextNumber(3e9f, 3e9f), Is.EqualTo(3e9f));
+ var dist = new Uniform();
+ Assert.That(await rng.NextNumber(5f, 5f, dist), Is.EqualTo(5));
+ Assert.That(await rng.NextNumber(0f, 0f, dist), Is.EqualTo(0));
+ Assert.That(await rng.NextNumber(3e9f, 3e9f, dist), Is.EqualTo(3e9f));
}
[Test]
@@ -74,9 +81,10 @@ namespace FastRngTests
[Category(TestCategories.NORMAL)]
public async Task TestRange03Uint()
{
- Assert.That(await rng.NextNumber(5, 6), Is.InRange(5, 6));
- Assert.That(await rng.NextNumber(0, 1), Is.InRange(0, 1));
- Assert.That(await rng.NextNumber(3_000_000_000, 3_000_000_002), Is.InRange(3_000_000_000, 3_000_000_002));
+ var dist = new Uniform();
+ Assert.That(await rng.NextNumber(5, 6, dist), Is.InRange(5, 6));
+ Assert.That(await rng.NextNumber(0, 1, dist), Is.InRange(0, 1));
+ Assert.That(await rng.NextNumber(3_000_000_000, 3_000_000_002, dist), Is.InRange(3_000_000_000, 3_000_000_002));
}
[Test]
@@ -84,9 +92,10 @@ namespace FastRngTests
[Category(TestCategories.NORMAL)]
public async Task TestRange03Ulong()
{
- Assert.That(await rng.NextNumber(5UL, 6), Is.InRange(5, 6));
- Assert.That(await rng.NextNumber(0UL, 1), Is.InRange(0, 1));
- Assert.That(await rng.NextNumber(3_000_000_000UL, 3_000_000_002), Is.InRange(3_000_000_000, 3_000_000_002));
+ var dist = new Uniform();
+ Assert.That(await rng.NextNumber(5UL, 6, dist), Is.InRange(5, 6));
+ Assert.That(await rng.NextNumber(0UL, 1, dist), Is.InRange(0, 1));
+ Assert.That(await rng.NextNumber(3_000_000_000UL, 3_000_000_002, dist), Is.InRange(3_000_000_000, 3_000_000_002));
}
[Test]
@@ -94,9 +103,10 @@ namespace FastRngTests
[Category(TestCategories.NORMAL)]
public async Task TestRange03Float()
{
- Assert.That(await rng.NextNumber(5f, 6), Is.InRange(5, 6));
- Assert.That(await rng.NextNumber(0f, 1), Is.InRange(0, 1));
- Assert.That(await rng.NextNumber(3e9f, 3e9f+2), Is.InRange(3e9f, 3e9f+2));
+ var dist = new Uniform();
+ Assert.That(await rng.NextNumber(5f, 6, dist), Is.InRange(5, 6));
+ Assert.That(await rng.NextNumber(0f, 1, dist), Is.InRange(0, 1));
+ Assert.That(await rng.NextNumber(3e9f, 3e9f+2, dist), Is.InRange(3e9f, 3e9f+2));
}
[Test]
@@ -104,8 +114,9 @@ namespace FastRngTests
[Category(TestCategories.NORMAL)]
public async Task TestRange04Uint()
{
- Assert.That(await rng.NextNumber(10, 1), Is.InRange(1, 10));
- Assert.That(await rng.NextNumber(20, 1), Is.InRange(1, 20));
+ var dist = new Uniform();
+ Assert.That(await rng.NextNumber(10, 1, dist), Is.InRange(1, 10));
+ Assert.That(await rng.NextNumber(20, 1, dist), Is.InRange(1, 20));
}
[Test]
@@ -113,8 +124,9 @@ namespace FastRngTests
[Category(TestCategories.NORMAL)]
public async Task TestRange04Ulong()
{
- Assert.That(await rng.NextNumber(10UL, 1), Is.InRange(1, 10));
- Assert.That(await rng.NextNumber(20UL, 1), Is.InRange(1, 20));
+ var dist = new Uniform();
+ Assert.That(await rng.NextNumber(10UL, 1, dist), Is.InRange(1, 10));
+ Assert.That(await rng.NextNumber(20UL, 1, dist), Is.InRange(1, 20));
}
[Test]
@@ -122,8 +134,9 @@ namespace FastRngTests
[Category(TestCategories.NORMAL)]
public async Task TestRange04Float()
{
- Assert.That(await rng.NextNumber(10f, 1), Is.InRange(1, 10));
- Assert.That(await rng.NextNumber(20f, 1), Is.InRange(1, 20));
+ var dist = new Uniform();
+ Assert.That(await rng.NextNumber(10f, 1, dist), Is.InRange(1, 10));
+ Assert.That(await rng.NextNumber(20f, 1, dist), Is.InRange(1, 20));
}
[Test]
@@ -131,10 +144,11 @@ namespace FastRngTests
[Category(TestCategories.NORMAL)]
public async Task TestRange05Uint()
{
+ var dist = new Uniform();
var distribution = new uint[101];
var runs = 1_000_000;
for (var n = 0; n < runs; n++)
- distribution[await rng.NextNumber(0, 100)]++;
+ distribution[await rng.NextNumber(0, 100, dist)]++;
for (var n = 0; n < distribution.Length - 1; n++)
Assert.That(distribution[n], Is.GreaterThan(0));
@@ -145,10 +159,11 @@ namespace FastRngTests
[Category(TestCategories.NORMAL)]
public async Task TestRange05Ulong()
{
+ var dist = new Uniform();
var distribution = new uint[101];
var runs = 1_000_000;
for (var n = 0; n < runs; n++)
- distribution[await rng.NextNumber(0UL, 100)]++;
+ distribution[await rng.NextNumber(0UL, 100, dist)]++;
for (var n = 0; n < distribution.Length - 1; n++)
Assert.That(distribution[n], Is.GreaterThan(0));
@@ -159,10 +174,11 @@ namespace FastRngTests
[Category(TestCategories.NORMAL)]
public async Task TestRange05Float()
{
+ var dist = new Uniform();
var distribution = new uint[101];
var runs = 1_000_000;
for (var n = 0; n < runs; n++)
- distribution[(uint)MathF.Floor(await rng.NextNumber(0f, 100f))]++;
+ distribution[(uint)MathF.Floor(await rng.NextNumber(0f, 100f, dist))]++;
for (var n = 0; n < distribution.Length - 1; n++)
Assert.That(distribution[n], Is.GreaterThan(0));
@@ -172,72 +188,78 @@ namespace FastRngTests
[Category(TestCategories.NORMAL)]
public async Task TestDistribution001Uint()
{
+ var dist = new Uniform();
var distribution = new uint[101];
var runs = 1_000_000;
for (var n = 0; n < runs; n++)
- distribution[await rng.NextNumber(0, 100)]++;
+ distribution[await rng.NextNumber(0, 100, dist)]++;
- Assert.That(distribution[..100].Max() - distribution[..100].Min(), Is.InRange(0, 600));
+ Assert.That(distribution[..^1].Max() - distribution[..^1].Min(), Is.InRange(0, 600));
}
[Test]
[Category(TestCategories.NORMAL)]
public async Task TestDistribution001Ulong()
{
+ var dist = new Uniform();
var distribution = new uint[101];
var runs = 1_000_000;
for (var n = 0; n < runs; n++)
- distribution[await rng.NextNumber(0UL, 100)]++;
+ distribution[await rng.NextNumber(0UL, 100, dist)]++;
- Assert.That(distribution[..100].Max() - distribution[..100].Min(), Is.InRange(0, 600));
+ Assert.That(distribution[..^1].Max() - distribution[..^1].Min(), Is.InRange(0, 600));
}
[Test]
[Category(TestCategories.NORMAL)]
public async Task TestDistribution001Float()
{
+ var dist = new Uniform();
var distribution = new uint[101];
var runs = 1_000_000;
for (var n = 0; n < runs; n++)
- distribution[(uint)MathF.Floor(await rng.NextNumber(0f, 100f))]++;
+ distribution[(uint)MathF.Floor(await rng.NextNumber(0f, 100f, dist))]++;
- Assert.That(distribution[..100].Max() - distribution[..100].Min(), Is.InRange(0, 600));
+ Assert.That(distribution[..^1].Max() - distribution[..^1].Min(), Is.InRange(0, 600));
}
[Test]
[Category(TestCategories.LONG_RUNNING)]
public async Task TestDistribution002Uint()
{
+ var dist = new Uniform();
var distribution = new uint[101];
var runs = 100_000_000;
for (var n = 0; n < runs; n++)
- distribution[await rng.NextNumber(0, 100)]++;
+ distribution[await rng.NextNumber(0, 100, dist)]++;
- Assert.That(distribution[..100].Max() - distribution[..100].Min(), Is.InRange(0, 600));
+ Assert.That(distribution[..^1].Max() - distribution[..^1].Min(), Is.InRange(0, 6_000));
}
[Test]
[Category(TestCategories.LONG_RUNNING)]
public async Task TestDistribution002Ulong()
{
+ var dist = new Uniform();
var distribution = new uint[101];
var runs = 100_000_000;
for (var n = 0; n < runs; n++)
- distribution[await rng.NextNumber(0UL, 100)]++;
+ distribution[await rng.NextNumber(0UL, 100, dist)]++;
- Assert.That(distribution[..100].Max() - distribution[..100].Min(), Is.InRange(0, 600));
+ Assert.That(distribution[..^1].Max() - distribution[..^1].Min(), Is.InRange(0, 6_000));
}
[Test]
[Category(TestCategories.LONG_RUNNING)]
public async Task TestDistribution002Float()
{
+ var dist = new Uniform();
var distribution = new uint[101];
var runs = 100_000_000;
for (var n = 0; n < runs; n++)
- distribution[(uint)MathF.Floor(await rng.NextNumber(0f, 100f))]++;
+ distribution[(uint)MathF.Floor(await rng.NextNumber(0f, 100f, dist))]++;
- Assert.That(distribution[..100].Max() - distribution[..100].Min(), Is.InRange(0, 600));
+ Assert.That(distribution[..^1].Max() - distribution[..^1].Min(), Is.InRange(0, 6_000));
}
}
}
\ No newline at end of file