public static MetaNum Min(this IList <MetaNum> self)
{
if (self.Count == 0)
{
return(TypeTrait <MetaNum> .GetNaNOrRaiseException("No elements"));
}
var i = 0;
while (TypeTrait <MetaNum> .IsNaN(self[0]) && i < self.Count - 1)
{
++i;
}
MetaNum min = self[i];
for (++i; i < self.Count; ++i)
{
if (self[i] < min)
{
min = self[i];
}
}
return(min);
}
public static MetaFloat Correlation(this IList <MetaNum> self, IList <MetaNum> other, bool skipNaN = true)
{
if (self.Count != other.Count)
{
return(MetaFloat.NaN);
}
if (skipNaN)
{
var s1 = new List <MetaNum>(self.Count);
var s2 = new List <MetaNum>(self.Count);
for (var i = 0; i < self.Count; ++i)
{
if (TypeTrait <MetaNum> .IsNaN(self[i]) || TypeTrait <MetaNum> .IsNaN(other[i]))
{
continue;
}
s1.Add(self[i]);
s2.Add(other[i]);
}
return(Covariance(s1, s2) / s1.StandardDeviation() / s2.StandardDeviation());
}
return(Covariance(self, other) / self.StandardDeviation() / other.StandardDeviation());
}
public static int ArgMin(this IList <MetaNum> self)
{
if (self.Count == 0)
{
throw new InvalidCastException("No elements");
}
var i = 0;
while (TypeTrait <MetaNum> .IsNaN(self[0]) && i < self.Count)
{
++i;
}
if (i == self.Count)
{
throw new InvalidCastException("No elements");
}
MetaNum min = self[i];
int argmin = i;
for (++i; i < self.Count; ++i)
{
if (self[i] < min)
{
min = self[i];
argmin = i;
}
}
return(argmin);
}
public void TestStringIsNaN()
{
Assert.False(TypeTrait <string> .IsNaN(" xxx "));
Assert.True(TypeTrait <string> .IsNaN(null));
Assert.True(TypeTrait <string> .IsNaN(string.Empty));
Assert.True(TypeTrait <string> .IsNaN(""));
Assert.True(TypeTrait <string> .IsNaN("\t "));
}
public static void FillNaNFill <T>(this IList <T> self, T fillValue)
{
for (var i = 0; i < self.Count; ++i)
{
if (TypeTrait <T> .IsNaN(self[i]))
{
self[i] = fillValue;
}
}
}
public static void FillNaNFill(this IList <MetaNum> self, MetaNum fillValue)
{
for (var i = 0; i < self.Count; ++i)
{
if (TypeTrait <MetaNum> .IsNaN(self[i]))
{
self[i] = fillValue;
}
}
}
public static IList <bool> IsNaN <T>(this IList <T> self)
{
var result = new List <bool>(self.Count);
foreach (var item in self)
{
result.Add(TypeTrait <T> .IsNaN(item));
}
return(result);
}
public static List <MetaNum> RemoveNaN(this IList <MetaNum> self)
{
var result = new List <MetaNum>(self.Count);
foreach (var value in self)
{
if (!TypeTrait <MetaNum> .IsNaN(value))
{
result.Add(value);
}
}
return(result);
}
public static int CountNaN(this IList <MetaNum> self)
{
int count = 0;
foreach (var value in self)
{
if (TypeTrait <MetaNum> .IsNaN(value))
{
++count;
}
}
return(count);
}
public static MetaNum Mode(this IList <MetaNum> self, bool skipNaN = true)
{
if (self.Count == 0)
{
return(TypeTrait <MetaNum> .GetNaNOrRaiseException("No elements"));
}
var values = self.ToArray();
Array.Sort(values);
MetaNum currentValue = values[0];
MetaNum bestValue = currentValue;
var currentCount = 1;
var bestCount = 1;
int i = 1;
if (skipNaN)
{
// After sort, NaNs should be collected to the first location of the sequence.
while (TypeTrait <MetaNum> .IsNaN(values[i]))
{
++i;
}
}
for (; i < values.Length; ++i)
{
if (currentValue == values[i])
{
currentCount += 1;
}
else
{
currentValue = values[i];
currentCount = 1;
}
if (currentCount > bestCount)
{
bestCount = currentCount;
bestValue = currentValue;
}
}
return(bestValue);
}
public static MetaFloat Covariance(this IList <MetaNum> self, IList <MetaNum> other, bool unbiased = true, bool skipNaN = true)
{
if (self.Count != other.Count)
{
return(MetaFloat.NaN);
}
var mean0 = self.Mean(skipNaN);
var mean1 = other.Mean(skipNaN);
if (MetaFloat.IsNaN(mean0) || MetaFloat.IsNaN(mean1))
{
return(MetaFloat.NaN);
}
int actualCount = self.Count;
MetaFloat c = (MetaFloat)0.0;
for (int i = 0; i < self.Count; ++i)
{
if (TypeTrait <MetaNum> .IsNaN(self[i]) || TypeTrait <MetaNum> .IsNaN(other[i]))
{
if (skipNaN)
{
--actualCount;
continue;
}
else
{
return(MetaFloat.NaN);
}
}
var a = (MetaFloat)self[i] - mean0;
var b = (MetaFloat)other[i] - mean1;
c += a * b;
}
if (unbiased)
{
return(c / (actualCount - 1));
}
else
{
return(c / actualCount);
}
}
public static MetaFloat Variance(this IList <MetaNum> self, bool unbiased = true, bool skipNaN = true)
{
if (self.Count == 0)
{
return(MetaFloat.NaN);
}
MetaFloat mean = Mean(self, skipNaN);
if (MetaFloat.IsNaN(mean))
{
return(MetaFloat.NaN);
}
MetaFloat variance = (MetaFloat)0.0;
int actualCount = self.Count;
foreach (var value in self)
{
MetaFloat v = (MetaFloat)value;
if (TypeTrait <MetaFloat> .IsNaN(v))
{
if (skipNaN)
{
--actualCount;
continue;
}
else
{
return(MetaFloat.NaN);
}
}
MetaFloat x = v - mean;
variance += x * x;
}
if (unbiased)
{
return(variance / (actualCount - 1));
}
else
{
return(variance / actualCount);
}
}
public static List <MetaNum> FillNaN(this IList <MetaNum> self, MetaNum fillValue)
{
var result = new List <MetaNum>(self.Count);
foreach (var value in self)
{
if (TypeTrait <MetaNum> .IsNaN(value))
{
result.Add(fillValue);
}
else
{
result.Add(value);
}
}
return(result);
}
// Histogram
private static Tuple <int[], int> CollectHistogram(IList <MetaNum> data, HistogramInterval intervals)
{
var result = new int[intervals.BinCount];
var total = 0;
foreach (var value in data)
{
if (TypeTrait <MetaNum> .IsNaN(value))
{
continue;
}
var bin = (int)Math.Floor(((double)value - intervals.AdjustedLower) / intervals.BinWidth);
++result[bin];
++total;
}
return(Tuple.Create(result, total));
}
public static MetaNum Product(this IList <MetaNum> self, bool skipNaN = true, int minCount = 0)
{
MetaNum product = (MetaNum)1;
int count = 0;
foreach (var value in self)
{
if (skipNaN && TypeTrait <MetaNum> .IsNaN(value))
{
continue;
}
product *= value;
++count;
}
if (count < minCount)
{
return(TypeTrait <MetaNum> .GetNaN());
}
return(product);
}
public static MetaNum Sum(this IList <MetaNum> self, bool skipNaN = true, int minCount = 0)
{
MetaNum sum = (MetaNum)0.0;
int count = 0;
foreach (var value in self)
{
if (skipNaN && TypeTrait <MetaNum> .IsNaN(value))
{
continue;
}
sum += value;
++count;
}
if (count < minCount)
{
return(TypeTrait <MetaNum> .GetNaN());
}
return(sum);
}
public void TestDoubleIsNaN()
{
Assert.True(TypeTrait <double> .IsNaN(double.NaN));
Assert.False(TypeTrait <double> .IsNaN(10.2));
}
public void TestDateTimeIsNaN()
{
Assert.False(TypeTrait <DateTime> .IsNaN(DateTime.Now));
}