Fix format

src/orthogonal.jl

@@ -159,12 +159,23 @@ function basis_covering_monomials(
     )
 end
 
-function scalar_product_function(::Type{<:AbstractMultipleOrthogonalBasis}, i::Int) end
-
-LinearAlgebra.dot(p, q, basis_type::Type{<:AbstractMultipleOrthogonalBasis}) =
-    _integral(p * q, basis_type)
+function scalar_product_function(
+    ::Type{<:AbstractMultipleOrthogonalBasis},
+    i::Int,
+) end
+
+function LinearAlgebra.dot(
+    p,
+    q,
+    basis_type::Type{<:AbstractMultipleOrthogonalBasis},
+)
+    return _integral(p * q, basis_type)
+end
 
-function _integral(p::Number, basis_type::Type{<:AbstractMultipleOrthogonalBasis})
+function _integral(
+    p::Number,
+    basis_type::Type{<:AbstractMultipleOrthogonalBasis},
+)
     return p * scalar_product_function(basis_type, 0)
 end
 
@@ -179,10 +190,15 @@ function _integral(
     p::MP.AbstractMonomial,
     basis_type::Type{<:AbstractMultipleOrthogonalBasis},
 )
-    return prod([scalar_product_function(basis_type, i) for i in MP.exponents(p)])
+    return prod([
+        scalar_product_function(basis_type, i) for i in MP.exponents(p)
+    ])
 end
 
-function _integral(p::MP.AbstractTerm, basis_type::Type{<:AbstractMultipleOrthogonalBasis})
+function _integral(
+    p::MP.AbstractTerm,
+    basis_type::Type{<:AbstractMultipleOrthogonalBasis},
+)
     return MP.coefficient(p) * _integral(MP.monomial(p), basis_type)
 end
 
@@ -193,9 +209,16 @@ function _integral(
     return sum([_integral(t, basis_type) for t in MP.terms(p)])
 end
 
-function MP.coefficients(p, basis::AbstractMultipleOrthogonalBasis; check = true)
+function MP.coefficients(
+    p,
+    basis::AbstractMultipleOrthogonalBasis;
+    check = true,
+)
     B = typeof(basis)
-    coeffs = [LinearAlgebra.dot(p, el, B) / LinearAlgebra.dot(el, el, B) for el in basis]
-    idx = findall(c -> !isapprox(c, 0, atol = 1e-10), coeffs)
+    coeffs = [
+        LinearAlgebra.dot(p, el, B) / LinearAlgebra.dot(el, el, B) for
+        el in basis
+    ]
+    idx = findall(c -> !isapprox(c, 0; atol = 1e-10), coeffs)
     return coeffs[idx]
 end

src/scaled.jl

@@ -76,7 +76,7 @@ function change_basis(
 ) where {MT,MV}
     n = length(basis)
     scalings = map(scaling, basis.monomials)
-    scaled_Q = [Q[i, j] * scalings[i] * scalings[j] for i = 1:n, j = 1:n]
+    scaled_Q = [Q[i, j] * scalings[i] * scalings[j] for i in 1:n, j in 1:n]
     return scaled_Q, MonomialBasis(basis.monomials)
 end
 

test/chebyshev.jl

@@ -7,29 +7,50 @@ using MultivariateBases
         x -> [1, x, 2x^2 - 1, 4x^3 - 3x, 8x^4 - 8x^2 + 1],
         true,
     )
-    univ_orthogonal_test(ChebyshevBasis, i -> π * (1 / 2 + (0^i) / 2), atol = 1e-12)
+    univ_orthogonal_test(
+        ChebyshevBasis,
+        i -> π * (1 / 2 + (0^i) / 2);
+        atol = 1e-12,
+    )
     orthogonal_test(
         ChebyshevBasisSecondKind,
         x -> [1, 2x, 4x^2 - 1, 8x^3 - 4x, 16x^4 - 12x^2 + 1],
         true,
     )
 
-    univ_orthogonal_test(ChebyshevBasisSecondKind, i -> π / 2, atol = 1e-12)
+    univ_orthogonal_test(ChebyshevBasisSecondKind, i -> π / 2; atol = 1e-12)
 end
 
 @testset "API degree = $degree" for degree in 0:3
     api_test(ChebyshevBasis, degree)
     api_test(ChebyshevBasisSecondKind, degree)
 end
 
-
 @testset "Coefficients" begin
     coefficient_test(
         ChebyshevBasis,
-        reverse([0.0625, 0.0625, 0.0625, -0.25, 0.0625, -0.3125, -0.3125, 0.625]),
+        reverse([
+            0.0625,
+            0.0625,
+            0.0625,
+            -0.25,
+            0.0625,
+            -0.3125,
+            -0.3125,
+            0.625,
+        ]),
     )
     coefficient_test(
         ChebyshevBasisSecondKind,
-        reverse([0.015625, 0.015625, 0.015625, -0.09375, 0.015625, -0.109375, -0.109375, 0.875]),
+        reverse([
+            0.015625,
+            0.015625,
+            0.015625,
+            -0.09375,
+            0.015625,
+            -0.109375,
+            -0.109375,
+            0.875,
+        ]),
     )
 end

test/hermite.jl

@@ -15,7 +15,7 @@ using MultivariateBases
     )
     univ_orthogonal_test(
         PhysicistsHermiteBasis,
-        i -> √(π) * factorial(i) * 2^i,
+        i -> √(π) * factorial(i) * 2^i;
         atol = 1e-12,
     ) #precision issue
 end
@@ -28,11 +28,20 @@ end
 @testset "Coefficients" begin
     coefficient_test(
         ProbabilistsHermiteBasis,
-        [4, 6, 6, 1, 9, 1, 1, 1],
+        [4, 6, 6, 1, 9, 1, 1, 1];
         atol = 1e-12,
     )
     coefficient_test(
         PhysicistsHermiteBasis,
-        reverse([0.015625, 0.015625, 0.03125, 0.1875, 0.03125, 0.1875, 0.1875, 1.0]),
+        reverse([
+            0.015625,
+            0.015625,
+            0.03125,
+            0.1875,
+            0.03125,
+            0.1875,
+            0.1875,
+            1.0,
+        ]),
     )
 end

test/runtests.jl

@@ -4,7 +4,6 @@ using MultivariateBases
 using LinearAlgebra
 using DynamicPolynomials
 
-
 function api_test(B::Type{<:AbstractPolynomialBasis}, degree)
     @polyvar x[1:2]
     for basis in [
@@ -28,12 +27,20 @@ function api_test(B::Type{<:AbstractPolynomialBasis}, degree)
     end
 end
 
-function univ_orthogonal_test(B::Type{<:AbstractMultipleOrthogonalBasis}, univ::Function; kwargs...)
+function univ_orthogonal_test(
+    B::Type{<:AbstractMultipleOrthogonalBasis},
+    univ::Function;
+    kwargs...,
+)
     @polyvar x
     basis = maxdegree_basis(B, [x], 4)
-    for i = eachindex(basis)
-        @test isapprox(dot(basis[i], basis[i], B), univ(maxdegree(basis[i])); kwargs...)
-        for j = 1:i-1
+    for i in eachindex(basis)
+        @test isapprox(
+            dot(basis[i], basis[i], B),
+            univ(maxdegree(basis[i]));
+            kwargs...,
+        )
+        for j in 1:i-1
             @test isapprox(dot(basis[i], basis[j], B), 0.0; kwargs...)
         end
     end