fact: Definition TM_comp (TMg : TM_type) (Mf : rpa) (X0 X : I.type) n := let Bf := Bnd.ComputeBound prec (approx Mf) (I.sub prec X X0) in let A0 := Pol.nth (approx Mf) 0 in let a0 := J.midpoint A0 in let Mg := TMg a0 (I.add prec Bf (error Mf)) n in let M1 := TMset0 Mf (I.sub prec A0 a0) in let M0 := TM_horner n (approx Mg) M1 X0 X in RPA (approx M0) (I.add prec (error M0) (error Mg)).
imports: Coq(ZArith Psatz Reals) Flocq(Raux) Coquelicot(Coquelicot) mathcomp.ssreflect(ssreflect ssrfun ssrbool eqtype ssrnat seq fintype bigop) Stdlib MathComp Coquelicot Xreal Interval Basic Xreal_derive Interval_compl Datatypes Taylor_poly Basic_rec Bound