add package extension for VectorInterface - #984
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Implements the VectorInterface.jl API (scalartype, zerovector, scale, add families and inner) for Fun, so Fun can be used directly as a vector type with packages like KrylovKit without type piracy. In-place variants operate on the coefficient vectors of Funs in compatible spaces; the !! variants fall back to out-of-place versions on space mismatch or scalar type promotion. Assisted-by: Claude Fable 5 <noreply@anthropic.com>
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This allows
Funto be used as bases within KrylovKit.jl for example and allows writing generic (skew-)orthogonalization routines that work over function spaces as well. (Doesn't make much sense for the default weights of course, but allows to (skew-)orthogonalize w.r.t. arbitrary weights.) I thought it made more sense for this to live in ApproxFun instead of VectorInterface, but let me know if I should try to submit this to VectorInterface instead.Assisted-by: Claude Fable 5 noreply@anthropic.com