Geometry
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Geometry
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## Recent Snippets See all snippets by Geometry

### Random: Returns a random symbol within the given symbol probabilities.

Returns a random symbol within the given symbol probabilities. The probabilities for the discrete symbols. A random symbol within the given probabilities.
```/// <summary>
///   Returns a random symbol within the given symbol probabilities.
/// </summary>
///
/// <param name="probabilities">The probabilities for the discrete symbols.</param>
///
/// <returns>A random symbol within the given probabilities.</returns>
///
public static int Random(double[] probabilities)
{
double uniform = Accord.Math.Random.Generator.Random.NextDouble();

double cumulativeSum = 0;

// Use the probabilities to partition the [0,1] interval
//  and check inside which range the values fall into.

for (int i = 0; i < probabilities.Length; i++)
{
cumulativeSum += probabilities[i];

if (uniform < cumulativeSum)
return i;
}

throw new InvalidOperationException("Generated value is not between 0 and 1.");
}```
;

### Uniform: Constructs a new uniform discrete distribution.

Constructs a new uniform discrete distribution. The integer value where the distribution starts, also known as a. Default value is 0. The integer value where the distribution ends, also known as b.
```/// <summary>
///   Constructs a new uniform discrete distribution.
/// </summary>
///
/// <param name="a">
///   The integer value where the distribution starts, also
///   known as <c>a</c>. Default value is 0.</param>
/// <param name="b">
///   The integer value where the distribution ends, also
///   known as <c>b</c>.</param>
///
public static GeneralDiscreteDistribution Uniform(int a, int b)
{
if (a > b)
{
throw new ArgumentOutOfRangeException("b",
"The starting number a must be lower than b.");
}

return new GeneralDiscreteDistribution(a, b - a + 1);
}```
;

### WMinimum: Computes the Wilcoxon's W statistic.

Computes the Wilcoxon's W statistic. The W statistic is computed as the minimum of the W+ and W- statistics.
```/// <summary>
///   Computes the Wilcoxon's W statistic.
/// </summary>
///
/// <remarks>
///   The W statistic is computed as the
///   minimum of the W+ and W- statistics.
/// </remarks>
///
public static double WMinimum(int[] signs, double[] ranks)
{
double wp = 0, wn = 0;
for (int i = 0; i < signs.Length; i++)
{
if (signs[i] < 0)
wn += ranks[i];

else if (signs[i] > 0)
wp += ranks[i];
}

double min = Math.Min(wp, wn);

return min;
}```
;

### WNegative: Computes the Wilcoxon's W- statistic.

Computes the Wilcoxon's W- statistic. The W- statistic is computed as the sum of all negative signed ranks.
```/// <summary>
///   Computes the Wilcoxon's W- statistic.
/// </summary>
///
/// <remarks>
///   The W- statistic is computed as the
///   sum of all negative signed ranks.
/// </remarks>
///
public static double WNegative(int[] signs, double[] ranks)
{
double sum = 0;
for (int i = 0; i < signs.Length; i++)
if (signs[i] < 0)
sum += ranks[i];
return sum;
}```
;

### WPositive: Computes the Wilcoxon's W+ statistic.

Computes the Wilcoxon's W+ statistic. The W+ statistic is computed as the sum of all positive signed ranks.
```/// <summary>
///   Computes the Wilcoxon's W+ statistic.
/// </summary>
///
/// <remarks>
///   The W+ statistic is computed as the
///   sum of all positive signed ranks.
/// </remarks>
///
public static double WPositive(int[] signs, double[] ranks)
{
double sum = 0;
for (int i = 0; i < signs.Length; i++)
if (signs[i] > 0)
sum += ranks[i];

return sum;
}```
;