Update chebyshev example

Author: dlfivefifty

examples/chebyshev.jl

@@ -7,46 +7,46 @@ using FastTransforms
 
 # first kind points -> first kind polynomials
 n = 20
-p_1 = chebyshevpoints(Float64, n; kind=1)
+p_1 = chebyshevpoints(Float64, n, Val(1))
 f = exp.(p_1)
-f̌ = chebyshevtransform(f; kind=1)
+f̌ = chebyshevtransform(f, Val(1))
 
 f̃ = x -> [cos(k*acos(x)) for k=0:n-1]' * f̌
 f̃(0.1) ≈ exp(0.1)
 
 # first kind polynomials -> first kind points
-ichebyshevtransform(f̌; kind=1) ≈ exp.(p_1)
+ichebyshevtransform(f̌, Val(1)) ≈ exp.(p_1)
 
 # second kind points -> first kind polynomials
-p_2 = chebyshevpoints(Float64, n; kind=2)
+p_2 = chebyshevpoints(Float64, n, Val(2))
 f = exp.(p_2)
-f̌ = chebyshevtransform(f; kind=2)
+f̌ = chebyshevtransform(f, Val(2))
 
 f̃ = x -> [cos(k*acos(x)) for k=0:n-1]' * f̌
 f̃(0.1) ≈ exp(0.1)
 
 # first kind polynomials -> second kind points
-ichebyshevtransform(f̌; kind=2) ≈ exp.(p_2)
+ichebyshevtransform(f̌, Val(2)) ≈ exp.(p_2)
 
 
 # first kind points -> second kind polynomials
 n = 20
-p_1 = chebyshevpoints(Float64, n; kind=1)
+p_1 = chebyshevpoints(Float64, n, Val(1))
 f = exp.(p_1)
-f̌ = chebyshevutransform(f; kind=1)
+f̌ = chebyshevutransform(f, Val(1))
 f̃ = x -> [sin((k+1)*acos(x))/sin(acos(x)) for k=0:n-1]' * f̌
 f̃(0.1) ≈ exp(0.1)
 
 # second kind polynomials -> first kind points
-ichebyshevutransform(f̌; kind=1) ≈ exp.(p_1)
+ichebyshevutransform(f̌, Val(1)) ≈ exp.(p_1)
 
 
 # second kind points -> second kind polynomials
-p_2 = chebyshevpoints(Float64, n; kind=2)[2:n-1]
+p_2 = chebyshevpoints(Float64, n, Val(2))[2:n-1]
 f = exp.(p_2)
-f̌ = chebyshevutransform(f; kind=2)
+f̌ = chebyshevutransform(f, Val(2))
 f̃ = x -> [sin((k+1)*acos(x))/sin(acos(x)) for k=0:n-3]' * f̌
 f̃(0.1) ≈ exp(0.1)
 
 # second kind polynomials -> second kind points
-ichebyshevutransform(f̌; kind=2) ≈ exp.(p_2)
+ichebyshevutransform(f̌, Val(2)) ≈ exp.(p_2)