Taylor0

Taylor0 A struct that defines a Taylor Variable. It has the following fields:

- coeffs: An array of Float64 that holds the coefficients of the Taylor series

- order: The order of the Taylor series

createT(a::T,cache::Taylor0) where {T<:Number}

creates a Taylor0 from a constant. In case of order 2, cache=[a,0,0]

addT(a::Taylor0, b::Taylor0,cache::Taylor0) cache=a+b

subT(a::Taylor0, b::Taylor0,cache::Taylor0) cache=a-b

mulT(a::Taylor0, b::Taylor0,cache1::Taylor0) cache1=a*b

divT(a::Taylor0, b::Taylor0,cache1::Taylor0) cache1=a/b

addsub(a::Taylor0, b::Taylor0,c::Taylor0,cache::Taylor0) cache=a+b-c

addsub(a::T, b::Taylor0,c::Taylor0,cache::Taylor0) where {T<:Number} Order2 case: cache=[a+b[0]-c[0],b[1]-c[1],b[2]-c[2]]

negateT(a::Taylor0,cache::Taylor0) cache=-a

subsub(a::Taylor0, b::Taylor0,c::Taylor0,cache::Taylor0) cache=a-b-c

muladdT(a::P,b::Q,c::R,cache1::Taylor0) where {P,Q,R <:Union{Taylor0,Number}} cache1=a*b+c

mulsub(a::P,b::Q,c::R,cache1::Taylor0) where {P,Q,R <:Union{Taylor0,Number}} cache1=a*b-c