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Merged
merged 3 commits into from
Jul 16, 2015
Merged

Even more math tests, and a missing besselhx export #12169

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9e23af9
Fleshed out tests for bessel and exported besselhx
kshyatt Jul 15, 2015
85ca50a
Fixed A_mul_B tests for symmetric
kshyatt Jul 15, 2015
7a58818
More uniformscaling tests
kshyatt Jul 15, 2015
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1 change: 1 addition & 0 deletions base/exports.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -457,6 +457,7 @@ export
airyprime,
airyx,
besselh,
besselhx,
besseli,
besselix,
besselj,
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2 changes: 1 addition & 1 deletion base/math.jl
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Expand Up @@ -18,7 +18,7 @@ export sin, cos, tan, sinh, cosh, tanh, asin, acos, atan,
besselj0, besselj1, besselj, besseljx,
bessely0, bessely1, bessely, besselyx,
hankelh1, hankelh2, hankelh1x, hankelh2x,
besseli, besselix, besselk, besselkx, besselh,
besseli, besselix, besselk, besselkx, besselh, besselhx,
beta, lbeta, eta, zeta, polygamma, invdigamma, digamma, trigamma,
erfinv, erfcinv, @evalpoly

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4 changes: 2 additions & 2 deletions test/linalg/symmetric.jl
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Expand Up @@ -91,15 +91,15 @@ let n=10
@test_approx_eq a * Hermitian(asym) a * asym
@test_approx_eq Hermitian(asym) * Hermitian(asym) asym*asym
@test_throws DimensionMismatch Hermitian(asym) * ones(eltya,n+1)
Base.LinAlg.A_mul_B!(C,a,asym)
Base.LinAlg.A_mul_B!(C,a,Hermitian(asym))
@test_approx_eq C a*asym
end
if eltya <: Real && eltya != Int
@test_approx_eq Symmetric(asym) * Symmetric(asym) asym*asym
@test_approx_eq Symmetric(asym) * a asym * a
@test_approx_eq a * Symmetric(asym) a * asym
@test_throws DimensionMismatch Symmetric(asym) * ones(eltya,n+1)
Base.LinAlg.A_mul_B!(C,a,asym)
Base.LinAlg.A_mul_B!(C,a,Symmetric(asym))
@test_approx_eq C a*asym
end

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3 changes: 3 additions & 0 deletions test/linalg2.jl
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Expand Up @@ -349,6 +349,9 @@ end
@test UniformScaling(α)./α == UniformScaling(1.0)
@test α + UniformScaling(1.0) == UniformScaling(1.0) + α
@test α - UniformScaling(1.0) == -(UniformScaling(1.0) - α)
@test copy(UniformScaling(one(Float64))) == UniformScaling(one(Float64))
@test sprint(show,UniformScaling(one(Float32))) == "Base.LinAlg.UniformScaling{Float32}\n1.0*I"

λ = complex(randn(),randn())
J = UniformScaling(λ)
@test ndims(J) == 2
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24 changes: 17 additions & 7 deletions test/math.jl
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Expand Up @@ -130,7 +130,6 @@ end
@test erfcinv(one(Int)) == erfcinv(1.0)

# airy
@test_approx_eq airy(1.8) 0.0470362168668458052247
@test_approx_eq airy(1.8) airyai(1.8)
@test_approx_eq airyprime(1.8) -0.0685247801186109345638
@test_approx_eq airyaiprime(1.8) airyprime(1.8)
Expand All @@ -140,12 +139,16 @@ end
@test_throws Base.Math.AmosException airybi(200)
@test_throws ArgumentError airy(5,one(Complex128))
z = 1.8 + 1.0im
@test_approx_eq airyx(z) airyx(0,z)
@test_approx_eq airyx(0, z) airy(0, z) * exp(2/3 * z * sqrt(z))
@test_approx_eq airyx(1, z) airy(1, z) * exp(2/3 * z * sqrt(z))
@test_approx_eq airyx(2, z) airy(2, z) * exp(-abs(real(2/3 * z * sqrt(z))))
@test_approx_eq airyx(3, z) airy(3, z) * exp(-abs(real(2/3 * z * sqrt(z))))
@test_throws ArgumentError airyx(5,z)
for elty in [Complex64,Complex128]
@test_approx_eq airy(convert(elty,1.8)) 0.0470362168668458052247
z = convert(elty,z)
@test_approx_eq airyx(z) airyx(0,z)
@test_approx_eq airyx(0, z) airy(0, z) * exp(2/3 * z * sqrt(z))
@test_approx_eq airyx(1, z) airy(1, z) * exp(2/3 * z * sqrt(z))
@test_approx_eq airyx(2, z) airy(2, z) * exp(-abs(real(2/3 * z * sqrt(z))))
@test_approx_eq airyx(3, z) airy(3, z) * exp(-abs(real(2/3 * z * sqrt(z))))
@test_throws ArgumentError airyx(5,z)
end

# bessely0, bessely1, besselj0, besselj1
@test_approx_eq besselj0(Float32(2.0)) besselj0(Float64(2.0))
Expand Down Expand Up @@ -206,6 +209,7 @@ j43 = besselj(4,3.)
@test_approx_eq besselj(0.1, complex(-0.4)) 0.820421842809028916 + 0.266571215948350899im
@test_approx_eq besselj(3.2, 1.3+0.6im) 0.01135309305831220201 + 0.03927719044393515275im
@test_approx_eq besselj(1, 3im) 3.953370217402609396im
@test_approx_eq besselj(1.0,3im) besselj(1,3im)
@test_throws Base.Math.AmosException besselj(20,1000im)

# besselk
Expand Down Expand Up @@ -234,6 +238,12 @@ y33 = bessely(3,3.)
@test_throws DomainError bessely(0.4,Float32(-1.0))
@test_throws DomainError bessely(1,Float32(-1.0))

#besselhx
for elty in [Complex64,Complex128]
z = convert(elty, 1.0 + 1.9im)
@test_approx_eq besselhx(1.0, 1, z) convert(elty,-0.5949634147786144 - 0.18451272807835967im)
end

# issue #6653
for f in (besselj,bessely,besseli,besselk,hankelh1,hankelh2)
@test_approx_eq f(0,1) f(0,Complex128(1))
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