public virtual IAlgebraicExpression InnerProduct(TVector other)
{
if (other is IExplicitVectorValue <TVector, TBasis> v)
{
IList <IAlgebraicExpression> squares = new List <IAlgebraicExpression>();
foreach (var term in this)
{
if (v.ContainsBasisTerm(term.BasisVector))
{
squares.Add(term.Coefficient.Multiply(v[term.BasisVector]));
}
}
return(IAlgebraicExpression.Sum(squares));
}
return(IExplicitGeneralizedVector <TVector, TBasis> .InnerProductOperation(this.AsExpressionType(), other));
}
public virtual TVector SubtractBy(TVector other)
{
if (other is IExplicitVectorValue <TVector, TBasis> v)
{
var retTerms = new Dictionary <TBasis, IAlgebraicExpression>(this.Terms);
foreach (var term in v)
{
if (retTerms.ContainsKey(term.BasisVector))
{
retTerms[term.BasisVector] = retTerms[term.BasisVector].SubtractBy(term.Coefficient);
}
else
{
retTerms[term.BasisVector] = term.Coefficient.Negate();
}
}
return(this.NewExplicitVectorValue(retTerms));
}
return(IExplicitGeneralizedVector <TVector, TBasis> .Subtraction(this.AsExpressionType(), other));
}
