/// <summary>
/// Returns the <see cref="T:System.Double" /> normal cumulative distribution.
/// </summary>
/// <param name="args"><para>
/// The args contains 4 items: x, mean, standard_dev, cumulative.
/// </para>
/// <para>
/// X is the value for which you want the distribution.
/// </para>
/// <para>
/// Mean is the arithmetic mean of the distribution.
/// </para>
/// <para>
/// Standard_dev is the standard deviation of the distribution.
/// </para>
/// <para>
/// Cumulative is a logical value that determines the form of the function. If cumulative is TRUE, NORMDIST returns the cumulative distribution function; if FALSE, it returns the probability mass function.
/// </para></param>
/// <returns>
/// A <see cref="T:System.Double" /> value that indicates the evaluate result.
/// </returns>
public override object Evaluate(object[] args)
{
double num;
double num2;
double num3;
bool flag;
base.CheckArgumentsLength(args);
if ((!CalcConvert.TryToDouble(args[0], out num, true) || !CalcConvert.TryToDouble(args[1], out num2, true)) || !CalcConvert.TryToDouble(args[2], out num3, true))
{
return(CalcErrors.Value);
}
if (!CalcConvert.TryToBool(args[3], out flag))
{
return(CalcErrors.Value);
}
if (num3 <= 0.0)
{
return(CalcErrors.Number);
}
if (flag)
{
CalcBuiltinFunction function = new CalcNormSDistFunction();
object[] objArray = new object[] { (double)((num - num2) / num3) };
return(function.Evaluate(objArray));
}
return(CalcConvert.ToResult(Math.Exp(-((num - num2) * (num - num2)) / ((2.0 * num3) * num3)) / (Math.Sqrt(6.2831853071795862) * num3)));
}
/// <summary>
/// Returns the <see cref="T:System.Double" /> error function integrated between lower_limit and upper_limit.
/// </summary>
/// <param name="args"><para>
/// The args contains 1 - 2 items: lower_limit, [upper_limit].
/// </para>
/// <para>
/// Lower_limit is the lower bound for integrating ERF.
/// </para>
/// <para>
/// Upper_limit is the upper bound for integrating ERF.
/// If omitted, ERF integrates between zero and lower_limit.
/// </para></param>
/// <returns>
/// A <see cref="T:System.Double" /> value that indicates the evaluate result.
/// </returns>
public override object Evaluate(object[] args)
{
double num;
base.CheckArgumentsLength(args);
if (!CalcConvert.TryToDouble(args[0], out num, true))
{
return(CalcErrors.Value);
}
double number = 0.0;
if (CalcHelper.ArgumentExists(args, 1) && !CalcConvert.TryToDouble(args[1], out number, true))
{
return(CalcErrors.Value);
}
if ((num < 0.0) || (number < 0.0))
{
return(CalcErrors.Number);
}
if ((num > 27.0) || (number > 27.0))
{
return(CalcErrors.Number);
}
CalcBuiltinFunction function = new CalcNormSDistFunction();
object obj2 = function.Evaluate(new object[] { (double)(num * Math.Sqrt(2.0)) });
if (obj2 is CalcError)
{
return((double)double.NaN);
}
double num3 = (((double)obj2) * 2.0) - 1.0;
if (CalcHelper.ArgumentExists(args, 1))
{
obj2 = function.Evaluate(new object[] { (double)(number * Math.Sqrt(2.0)) });
if (obj2 is CalcError)
{
return((double)double.NaN);
}
double num4 = (((double)obj2) * 2.0) - 1.0;
num3 = num4 - num3;
}
return((double)num3);
}
/// <summary>
/// Returns the <see cref="T:System.Double" /> cumulative lognormal distribution of x, where ln(x) is normally distributed with parameters mean and standard_dev.
/// </summary>
/// <param name="args"><para>
/// The args contains 3 items: x, mean, standard_dev.
/// </para>
/// <para>
/// X is the value at which to evaluate the function.
/// </para>
/// <para>
/// Mean is the mean of ln(x).
/// </para>
/// <para>
/// Standard_dev is the standard deviation of ln(x).
/// </para></param>
/// <returns>
/// A <see cref="T:System.Double" /> value that indicates the evaluate result.
/// </returns>
public override object Evaluate(object[] args)
{
double num;
double num2;
double num3;
base.CheckArgumentsLength(args);
if ((!CalcConvert.TryToDouble(args[0], out num, true) || !CalcConvert.TryToDouble(args[1], out num2, true)) || !CalcConvert.TryToDouble(args[2], out num3, true))
{
return(CalcErrors.Value);
}
if ((num <= 0.0) || (num3 <= 0.0))
{
return(CalcErrors.Number);
}
CalcBuiltinFunction function = new CalcNormSDistFunction();
return(function.Evaluate(new object[] { (double)((Math.Log(num) - num2) / num3) }));
}
/// <summary>
/// Returns the one-tailed probability-value of a z-test.
/// </summary>
/// <param name="args"><para>
/// The args contains 2 - 3 items: array, ¦Ì0, [sigma].
/// </para>
/// <para>
/// Array is the array or range of data against which to test ¦Ì0.
/// </para>
/// <para>
/// ¦Ì0 is the value to test.
/// </para>
/// <para>
/// [Sigma] is the population (known) standard deviation. If omitted,
/// the sample standard deviation is used.
/// </para></param>
/// <returns>
/// A <see cref="T:System.Object" /> value that indicates the evaluate result.
/// </returns>
public override object Evaluate(object[] args)
{
double num;
base.CheckArgumentsLength(args);
if (!CalcConvert.TryToDouble(args[1], out num, true))
{
return(CalcErrors.Value);
}
double number = 0.0;
if (CalcHelper.ArgumentExists(args, 2) && !CalcConvert.TryToDouble(args[2], out number, true))
{
return(CalcErrors.Value);
}
double num3 = 0.0;
double num4 = 0.0;
int num7 = 0;
if (ArrayHelper.IsArrayOrRange(args[0]))
{
for (int i = 0; i < ArrayHelper.GetLength(args[0], 0); i++)
{
object obj2 = ArrayHelper.GetValue(args[0], i, 0);
if (CalcConvert.IsNumber(obj2))
{
double num9 = CalcConvert.ToDouble(obj2);
num3 += num9;
num4 += num9 * num9;
num7++;
}
else if (obj2 is CalcError)
{
return(obj2);
}
}
}
else
{
double num10;
if (!CalcConvert.TryToDouble(args[0], out num10, true))
{
return(CalcErrors.Value);
}
num3 += num10;
num4 += num10 * num10;
num7++;
}
switch (num7)
{
case 0:
return(CalcErrors.NotAvailable);
case 1:
return(CalcErrors.DivideByZero);
}
double num5 = num3 / ((double)num7);
double num6 = CalcHelper.ArgumentExists(args, 2) ? number : Math.Sqrt(((num7 * num4) - (num3 * num3)) / ((double)(num7 * (num7 - 1))));
if (num6 == 0.0)
{
return(CalcErrors.DivideByZero);
}
CalcNormSDistFunction function = new CalcNormSDistFunction();
object[] objArray = new object[] { (double)((num5 - num) / (num6 / Math.Sqrt((double)num7))) };
object obj3 = function.Evaluate(objArray);
if (obj3 is CalcError)
{
return(obj3);
}
return(CalcConvert.ToResult(1.0 - ((double)obj3)));
}
/// <summary>
/// Returns the <see cref="T:System.Double" /> one tailed probability of the chi-squared distribution.
/// </summary>
/// <param name="args"><para>
/// The args contains 2 items: x, degrees_freedom.
/// </para>
/// <para>
/// X is the value at which you want to evaluate the distribution.
/// </para>
/// <para>
/// Degrees_freedom is the number of degrees of freedom.
/// </para></param>
/// <returns>
/// A <see cref="T:System.Double" /> value that indicates the evaluate result.
/// </returns>
public override object Evaluate(object[] args)
{
double num2;
double num3;
double num6;
double num9;
base.CheckArgumentsLength(args);
for (int i = 0; i < args.Length; i++)
{
if (args[i] is CalcError)
{
return(args[i]);
}
}
if (!CalcConvert.TryToDouble(args[0], out num2, true) || !CalcConvert.TryToDouble(args[1], out num3, true))
{
return(CalcErrors.Value);
}
if (num2 < 0.0)
{
return(CalcErrors.Number);
}
if ((num3 < 1.0) || (num3 > Math.Pow(10.0, 10.0)))
{
return(CalcErrors.Number);
}
double num4 = Math.Log(Math.Sqrt(3.1415926535897931));
double num5 = 1.0 / Math.Sqrt(3.1415926535897931);
double num11 = 0.0;
double d = num2;
double num10 = 0.5 * d;
bool flag = (num3 % 2.0) == 0.0;
if (num3 > 1.0)
{
num11 = Math.Exp(-num10);
}
object obj2 = new CalcNormSDistFunction().Evaluate(new object[] { (double)-Math.Sqrt(d) });
if (obj2 is CalcError)
{
return(obj2);
}
double num13 = (double)((double)obj2);
double num7 = flag ? num11 : (2.0 * num13);
if (num3 <= 2.0)
{
return((double)num7);
}
d = 0.5 * (num3 - 1.0);
double num8 = flag ? 1.0 : 0.5;
if (num10 > 20.0)
{
num6 = flag ? 0.0 : num4;
num9 = Math.Log(num10);
while (num8 <= d)
{
num6 = Math.Log(num8) + num6;
num7 += Math.Exp(((num9 * num8) - num10) - num6);
num8++;
}
return((double)num7);
}
num6 = flag ? 1.0 : (num5 / Math.Sqrt(num10));
num9 = 0.0;
while (num8 <= d)
{
num6 *= num10 / num8;
num9 += num6;
num8++;
}
return((double)((num9 * num11) + num7));
}