public static Symbolic ReduceMean(Vector vector)
{
if (vector.Rank == 0)
{
throw new RankException("can't get mean of vector with rank of 0");
}
else
{
Symbolic sum = new Symbolic(vector._values[0].Value, vector._values[0].Grads);
for (int i = 1; i < vector.Rank; i++)
{
sum += vector._values[i];
}
sum /= vector.Rank;
return(new Symbolic(
(Context context) =>
{
return sum.Value(context);
},
(Context context) =>
{
return sum.Grads(context);
}
));
}
}
public static SymbolicVector All(Func <Diffable, Symbolic> func, Vector arg1)
{
Symbolic[] output = new Symbolic[arg1.Rank];
for (int i = 0; i < arg1.Rank; i++)
{
output[i] = func(arg1._values[i]);
}
return(new SymbolicVector(output));
}
public static SymbolicVector operator -(Vector vector)
{
var output = new Symbolic[vector.Rank];
for (int i = 0; i < vector.Rank; i++)
{
output[i] = -vector._values[i];
}
return(new SymbolicVector(output));
}
private static SymbolicVector Add(Vector vector, Diffable scalar)
{
Symbolic[] output = new Symbolic[vector.Rank];
for (int i = 0; i < vector.Rank; i++)
{
output[i] = vector._values[i] + scalar;
}
return(new SymbolicVector(output));
}
public static SymbolicVector All(Func <Diffable, Diffable, Symbolic> func, Vector arg1, Vector arg2)
{
if (arg1.Rank != arg2.Rank)
{
throw new RankException("arg1 and arg2's ranks do not match");
}
Symbolic[] output = new Symbolic[arg1.Rank];
for (int i = 0; i < arg1.Rank; i++)
{
output[i] = func(arg1._values[i], arg2._values[i]);
}
return(new SymbolicVector(output));
}
