Further reduction of allocs in mutating methods for mixtures (#349)

* Try suggestion by @lbenet

* Use in-place mul!

* Try further allocation reduction

* Reduce allocations in sqr!

* Remove some allocations in pow! for TaylorN and div! for Taylor1{TaylorN{T}}

* WIP: redo sqrt!

* WIP: avoid allocations in mixture methods for sqrt!

* WIP: avoid allocations in sqrt! for Taylor1{TaylorN{T}}

* Address some comments by @lbenet

* WIP: allocate less in pow!

* Update comment

* Reduce allocs of methods in src/functions.jl

* Fix identity! and add comments

* Allocate less in asin!, acos! for mixtures

* Add mul_scalar!

* Add missing docs

* Add div_scalar!

* Allocate less in acos!

* Less allocations in asin!, acos!

* Address review by @lbenet

* Add suggestions by @lbenet

* Get rid of some allocations in pow!

* Bump patch version

* More if <-> for fixes

Project.toml

@@ -1,7 +1,7 @@
 name = "TaylorSeries"
 uuid = "6aa5eb33-94cf-58f4-a9d0-e4b2c4fc25ea"
 repo = "https://github.com/JuliaDiff/TaylorSeries.jl.git"
-version = "0.17.0"
+version = "0.17.1"
 
 [deps]
 LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"

docs/src/api.md

@@ -72,6 +72,7 @@ resize_coeffsHP!
 numtype
 mul!
 mul!(::HomogeneousPolynomial, ::HomogeneousPolynomial, ::HomogeneousPolynomial)
+mul_scalar!(::HomogeneousPolynomial, ::NumberNotSeries, ::HomogeneousPolynomial, ::HomogeneousPolynomial)
 mul!(::Vector{Taylor1{T}}, ::Union{Matrix{T},SparseMatrixCSC{T}},::Vector{Taylor1{T}}) where {T<:Number}
 div!
 pow!