Commit ⋅ tpapp/SpectralKit.jl

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@@ -83,6 +83,21 @@

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Consequently, for most applications, you only need to specify tags if you want a different
nesting than left-to-right.

# Important note about transformations

Always use `derivatives` *before* a transformation for correct results. For example, for some
transformation `I` and value `x` in the transformed domain,

```julia
basis_at(basis2, to_pm1(I, derivatives(x))) # right
```

instead of

```julia
basis_at(basis2, derivatives(to_pm1(I, x))) # WRONG
```

# Univariate example

```jldoctest

@@ -164,7 +164,7 @@

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The collocation matrix may not be an `AbstractMatrix`, all it needs to support is `C \\ y`
for compatible vectors `y = f.(x)`.

Methods are type stable.
Methods are type stable. The elements of `x` can be [`derivatives`](@ref).
"""
function collocation_matrix(basis, x = grid(basis))
    @argcheck isconcretetype(eltype(x))

Files		•	•	•	Coverage
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Project Totals (7 files)	435	375	0	60	86.21%

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83	83		Consequently, for most applications, you only need to specify tags if you want a different
84	84		nesting than left-to-right.
85	85
	86	+	# Important note about transformations
	87	+
	88	+	Always use `derivatives` before a transformation for correct results. For example, for some
	89	+	transformation `I` and value `x` in the transformed domain,
	90	+
	91	+	```julia
	92	+	basis_at(basis2, to_pm1(I, derivatives(x))) # right
	93	+	```
	94	+
	95	+	instead of
	96	+
	97	+	```julia
	98	+	basis_at(basis2, derivatives(to_pm1(I, x))) # WRONG
	99	+	```
	100	+
86	101		# Univariate example
87	102
88	103		```jldoctest

164	164		The collocation matrix may not be an `AbstractMatrix`, all it needs to support is `C \\ y`
165	165		for compatible vectors `y = f.(x)`.
166	166
167		-	Methods are type stable.
	167	+	Methods are type stable. The elements of `x` can be [`derivatives`](@ref).
168	168		"""
169	169		function collocation_matrix(basis, x = grid(basis))
170	170		@argcheck isconcretetype(eltype(x))

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