Support matrix chebyshev transforms, matrix coefficients in Clenshaw (#152)

* in-place allocates so support out-of-place Chebyshev transform

* Update chebyshevtransform.jl

* use FIRSTKIND, etc. instead of 1, 2 (matching r2r)

* r2r kind may be tuple

* remove assert_applicable as FFTW does that for us

* 2nd kind matrix transforms

* work in itransform

* fix itransforms

* Tests pass

* Update chebyshevutransform

* Drop Julia VERSION < v1.6

* Use FFTW.R* instead of explicit numbers

* Update ichebyshevu

* Support Matrix coefficients in clenshaw

* add Clenshaw tests

* add docs

Author: dlfivefifty

.github/workflows/ci.yml

@@ -9,8 +9,7 @@ jobs:
     strategy:
       matrix:
         version:
-          - '1.3'
-          - '1'
+          - '1.6'
           - '^1.7.0-0'
         os:
           - ubuntu-latest

Project.toml

@@ -1,6 +1,6 @@
 name = "FastTransforms"
 uuid = "057dd010-8810-581a-b7be-e3fc3b93f78c"
-version = "0.12.6"
+version = "0.13.0"
 
 [deps]
 AbstractFFTs = "621f4979-c628-5d54-868e-fcf4e3e8185c"
@@ -19,7 +19,7 @@ Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 ToeplitzMatrices = "c751599d-da0a-543b-9d20-d0a503d91d24"
 
 [compat]
-AbstractFFTs = "0.5, 1.0"
+AbstractFFTs = "1.0"
 ArrayLayouts = "0.4, 0.5, 0.6, 0.7"
 BinaryProvider = "0.5"
 DSP = "0.6, 0.7"
@@ -30,4 +30,4 @@ FillArrays = "0.9, 0.10, 0.11, 0.12"
 Reexport = "0.2, 1.0"
 SpecialFunctions = "0.10, 1"
 ToeplitzMatrices = "0.6, 0.7"
-julia = "1.3"
+julia = "1.6"