mirror of
https://github.com/kalmarek/SmallHyperbolic
synced 2024-11-23 07:30:27 +01:00
migrate eigenvalues to Arblib.jl
This commit is contained in:
parent
8aa4eb9668
commit
e01421ace9
240
Manifest.toml
240
Manifest.toml
@ -2,9 +2,21 @@
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[[AbstractAlgebra]]
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@ -30,6 +42,12 @@ git-tree-sha1 = "e214a9b9bd1b4e1b4f15b22c0994862b66af7ff7"
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@ -58,10 +76,10 @@ uuid = "0b7ba130-8d10-5ba8-a3d6-c5182647fed9"
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@ -88,22 +106,28 @@ uuid = "944b1d66-785c-5afd-91f1-9de20f533193"
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@ -130,9 +154,15 @@ deps = ["Random", "Serialization", "Sockets"]
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@ -142,49 +172,55 @@ version = "0.2.0"
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@ -202,34 +238,45 @@ deps = ["Markdown"]
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@ -257,11 +304,17 @@ git-tree-sha1 = "51b1db0732bbdcfabb60e36095cc3ed9c0016932"
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|
||||
@ -318,21 +365,21 @@ uuid = "4536629a-c528-5b80-bd46-f80d51c5b363"
|
||||
version = "0.3.9+5"
|
||||
|
||||
[[OpenSpecFun_jll]]
|
||||
deps = ["CompilerSupportLibraries_jll", "Libdl", "Pkg"]
|
||||
git-tree-sha1 = "d51c416559217d974a1113522d5919235ae67a87"
|
||||
deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Pkg"]
|
||||
git-tree-sha1 = "9db77584158d0ab52307f8c04f8e7c08ca76b5b3"
|
||||
uuid = "efe28fd5-8261-553b-a9e1-b2916fc3738e"
|
||||
version = "0.5.3+3"
|
||||
version = "0.5.3+4"
|
||||
|
||||
[[OrderedCollections]]
|
||||
git-tree-sha1 = "12ce190210d278e12644bcadf5b21cbdcf225cd3"
|
||||
git-tree-sha1 = "cf59cfed2e2c12e8a2ff0a4f1e9b2cd8650da6db"
|
||||
uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
|
||||
version = "1.2.0"
|
||||
version = "1.3.2"
|
||||
|
||||
[[Parsers]]
|
||||
deps = ["Dates", "Test"]
|
||||
git-tree-sha1 = "f0abb338b4d00306500056a3fd44c221b8473ef2"
|
||||
deps = ["Dates"]
|
||||
git-tree-sha1 = "b417be52e8be24e916e34b3d70ec2da7bdf56a68"
|
||||
uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
|
||||
version = "1.0.4"
|
||||
version = "1.0.12"
|
||||
|
||||
[[Pkg]]
|
||||
deps = ["Dates", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "UUIDs"]
|
||||
@ -349,12 +396,12 @@ deps = ["Unicode"]
|
||||
uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"
|
||||
|
||||
[[PropertyT]]
|
||||
deps = ["AbstractAlgebra", "Dates", "GroupRings", "Groups", "IntervalArithmetic", "JLD", "JuMP", "LinearAlgebra", "Markdown", "MathProgBase", "Printf", "SparseArrays"]
|
||||
git-tree-sha1 = "38850493c08470c23a8f2d86ad69fc450232c585"
|
||||
deps = ["AbstractAlgebra", "Dates", "GroupRings", "Groups", "IntervalArithmetic", "JLD", "JuMP", "LinearAlgebra", "SparseArrays"]
|
||||
git-tree-sha1 = "599ef6d6ba280f3be5dff8d8afdc308fbbcea4df"
|
||||
repo-rev = "master"
|
||||
repo-url = "https://github.com/kalmarek/PropertyT.jl"
|
||||
uuid = "03b72c93-0167-51e2-8a1e-eb4ff1fb940d"
|
||||
version = "0.3.1"
|
||||
version = "0.3.2"
|
||||
|
||||
[[REPL]]
|
||||
deps = ["InteractiveUtils", "Markdown", "Sockets"]
|
||||
@ -362,31 +409,26 @@ uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"
|
||||
|
||||
[[RamanujanGraphs]]
|
||||
deps = ["LightGraphs", "LinearAlgebra", "Primes"]
|
||||
git-tree-sha1 = "f623b007eda4cd5857953ba6735f1d1395175bab"
|
||||
git-tree-sha1 = "41fcab9bc21463a9d52bd481b7986d5271f36607"
|
||||
repo-rev = "master"
|
||||
repo-url = "https://github.com/kalmarek/RamanujanGraphs.jl"
|
||||
uuid = "e7bd6bc6-b6b8-11e9-1ec2-2f89442c0d6c"
|
||||
version = "0.3.0"
|
||||
version = "0.4.0"
|
||||
|
||||
[[Random]]
|
||||
deps = ["Serialization"]
|
||||
uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
|
||||
|
||||
[[RecipesBase]]
|
||||
git-tree-sha1 = "54f8ceb165a0f6d083f0d12cb4996f5367c6edbc"
|
||||
git-tree-sha1 = "b4ed4a7f988ea2340017916f7c9e5d7560b52cae"
|
||||
uuid = "3cdcf5f2-1ef4-517c-9805-6587b60abb01"
|
||||
version = "1.0.1"
|
||||
|
||||
[[RoundingEmulator]]
|
||||
git-tree-sha1 = "40b9edad2e5287e05bd413a38f61a8ff55b9557b"
|
||||
uuid = "5eaf0fd0-dfba-4ccb-bf02-d820a40db705"
|
||||
version = "0.2.1"
|
||||
version = "0.8.0"
|
||||
|
||||
[[SCS]]
|
||||
deps = ["BinaryProvider", "Libdl", "LinearAlgebra", "MathOptInterface", "MathProgBase", "SparseArrays"]
|
||||
git-tree-sha1 = "5cb256630995eb94526065c4350ce8338947121d"
|
||||
git-tree-sha1 = "936d43feaceae3290472ddf800b496be094d727b"
|
||||
uuid = "c946c3f1-0d1f-5ce8-9dea-7daa1f7e2d13"
|
||||
version = "0.6.3"
|
||||
version = "0.6.6"
|
||||
|
||||
[[SHA]]
|
||||
uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"
|
||||
@ -406,9 +448,9 @@ uuid = "1a1011a3-84de-559e-8e89-a11a2f7dc383"
|
||||
|
||||
[[SimpleTraits]]
|
||||
deps = ["InteractiveUtils", "MacroTools"]
|
||||
git-tree-sha1 = "2ee666b24ab8be6a922f9d6c11a86e1a703a7dda"
|
||||
git-tree-sha1 = "daf7aec3fe3acb2131388f93a4c409b8c7f62226"
|
||||
uuid = "699a6c99-e7fa-54fc-8d76-47d257e15c1d"
|
||||
version = "0.9.2"
|
||||
version = "0.9.3"
|
||||
|
||||
[[Sockets]]
|
||||
uuid = "6462fe0b-24de-5631-8697-dd941f90decc"
|
||||
@ -425,9 +467,9 @@ version = "0.10.3"
|
||||
|
||||
[[StaticArrays]]
|
||||
deps = ["LinearAlgebra", "Random", "Statistics"]
|
||||
git-tree-sha1 = "5c06c0aeb81bef54aed4b3f446847905eb6cbda0"
|
||||
git-tree-sha1 = "da4cf579416c81994afd6322365d00916c79b8ae"
|
||||
uuid = "90137ffa-7385-5640-81b9-e52037218182"
|
||||
version = "0.12.3"
|
||||
version = "0.12.5"
|
||||
|
||||
[[Statistics]]
|
||||
deps = ["LinearAlgebra", "SparseArrays"]
|
||||
@ -455,14 +497,20 @@ uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"
|
||||
[[Unicode]]
|
||||
uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"
|
||||
|
||||
[[ZipFile]]
|
||||
deps = ["Libdl", "Printf", "Zlib_jll"]
|
||||
git-tree-sha1 = "c3a5637e27e914a7a445b8d0ad063d701931e9f7"
|
||||
uuid = "a5390f91-8eb1-5f08-bee0-b1d1ffed6cea"
|
||||
version = "0.9.3"
|
||||
|
||||
[[Zlib_jll]]
|
||||
deps = ["Libdl", "Pkg"]
|
||||
git-tree-sha1 = "fdd89e5ab270ea0f2a0174bd9093e557d06d4bfa"
|
||||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||||
git-tree-sha1 = "320228915c8debb12cb434c59057290f0834dbf6"
|
||||
uuid = "83775a58-1f1d-513f-b197-d71354ab007a"
|
||||
version = "1.2.11+16"
|
||||
version = "1.2.11+18"
|
||||
|
||||
[[Zstd_jll]]
|
||||
deps = ["Libdl", "Pkg"]
|
||||
git-tree-sha1 = "4de91f4313d9e88162d461e282fe3066ab3a3c09"
|
||||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||||
git-tree-sha1 = "6f1abcb0c44f184690912aa4b0ba861dd64f11b9"
|
||||
uuid = "3161d3a3-bdf6-5164-811a-617609db77b4"
|
||||
version = "1.4.5+1"
|
||||
version = "1.4.5+2"
|
||||
|
||||
@ -1,13 +1,14 @@
|
||||
[deps]
|
||||
AbstractAlgebra = "c3fe647b-3220-5bb0-a1ea-a7954cac585d"
|
||||
Arblib = "fb37089c-8514-4489-9461-98f9c8763369"
|
||||
ArgParse = "c7e460c6-2fb9-53a9-8c5b-16f535851c63"
|
||||
ArnoldiMethod = "ec485272-7323-5ecc-a04f-4719b315124d"
|
||||
Arpack = "7d9fca2a-8960-54d3-9f78-7d1dccf2cb97"
|
||||
Dates = "ade2ca70-3891-5945-98fb-dc099432e06a"
|
||||
DelimitedFiles = "8bb1440f-4735-579b-a4ab-409b98df4dab"
|
||||
GroupRings = "0befed6a-bd73-11e8-1e41-a1190947c2f5"
|
||||
Groups = "5d8bd718-bd84-11e8-3b40-ad14f4a32557"
|
||||
Logging = "56ddb016-857b-54e1-b83d-db4d58db5568"
|
||||
Nemo = "2edaba10-b0f1-5616-af89-8c11ac63239a"
|
||||
PropertyT = "03b72c93-0167-51e2-8a1e-eb4ff1fb940d"
|
||||
RamanujanGraphs = "e7bd6bc6-b6b8-11e9-1ec2-2f89442c0d6c"
|
||||
SCS = "c946c3f1-0d1f-5ce8-9dea-7daa1f7e2d13"
|
||||
|
||||
@ -1,12 +1,12 @@
|
||||
using RamanujanGraphs
|
||||
using LinearAlgebra
|
||||
using Nemo
|
||||
using Arblib
|
||||
using ArgParse
|
||||
|
||||
using Logging
|
||||
using Dates
|
||||
|
||||
include("src/nemo_utils.jl")
|
||||
include(joinpath(@__DIR__, "src", "eigen_utils.jl"))
|
||||
|
||||
function SL2p_gens(p)
|
||||
if p == 31
|
||||
|
||||
43
src/eigen_utils.jl
Normal file
43
src/eigen_utils.jl
Normal file
@ -0,0 +1,43 @@
|
||||
function unit_root(order::Integer, pow::Integer = 1; prec = Arblib.DEFAULT_PRECISION[])
|
||||
@assert order > 0
|
||||
res = Acb(; prec = prec)
|
||||
Arblib.unit_root!(res, UInt(order), prec = prec)
|
||||
return Arblib.pow!(res, res, pow)
|
||||
end
|
||||
|
||||
similarity_transform(A::AcbMatrix) = similarity_transform!(similar(A), A)
|
||||
|
||||
function similarity_transform!(res::AcbMatrix, A::AcbMatrix)
|
||||
@assert size(res) == size(A)
|
||||
|
||||
X = similar(A)
|
||||
X .= rand(Acb(prec = precision(A)), size(X))
|
||||
|
||||
Arblib.inv!(res, X)
|
||||
res = Arblib.mul!(res, A, res)
|
||||
res = Arblib.mul!(res, X, res)
|
||||
return res
|
||||
end
|
||||
|
||||
function safe_eigvals(A::AcbMatrix)
|
||||
λs = Arblib.eig_multiple_rump(similarity_transform(A))
|
||||
all(isfinite.(λs)) && return λs
|
||||
throw("Eigenvalue computation was not successful: Arblib returned infinite values.")
|
||||
end
|
||||
|
||||
function count_multiplicites(evs)
|
||||
λ_m = Vector{Tuple{Acb,Int}}()
|
||||
sizehint!(λ_m, length(evs))
|
||||
i = 1
|
||||
while i <= length(evs)
|
||||
m = 0
|
||||
v = evs[i]
|
||||
while i + m <= length(evs) && isequal(evs[i], evs[i+m])
|
||||
m += 1
|
||||
end
|
||||
@assert m > 0
|
||||
push!(λ_m, (evs[i], m))
|
||||
i += m
|
||||
end
|
||||
return sort(λ_m, lt = (a, b) -> (real(first(a)) < real(first(b))), rev = true)
|
||||
end
|
||||
@ -1,199 +0,0 @@
|
||||
const libarb = Nemo.libarb
|
||||
|
||||
Base.hash(a::acb, h::UInt) = h
|
||||
Base.reim(x::acb) = reim(convert(ComplexF64, x))
|
||||
|
||||
function root_of_unity(CC::AcbField, p, k = 1)
|
||||
@assert p > 0
|
||||
res = zero(CC)
|
||||
ccall(
|
||||
(:acb_unit_root, libarb),
|
||||
Cvoid,
|
||||
(Ref{acb}, Culong, Clong),
|
||||
res,
|
||||
p,
|
||||
prec(CC),
|
||||
)
|
||||
return res^k
|
||||
end
|
||||
|
||||
import Base.adjoint
|
||||
function Base.adjoint(m::acb_mat)
|
||||
res = zero(m)
|
||||
ccall(
|
||||
(:acb_mat_conjugate_transpose, libarb),
|
||||
Cvoid,
|
||||
(Ref{acb_mat}, Ref{acb_mat}),
|
||||
res,
|
||||
m,
|
||||
)
|
||||
return res
|
||||
end
|
||||
|
||||
using Random
|
||||
import Base.rand
|
||||
|
||||
rand(rng::AbstractRNG, rs::Random.SamplerTrivial{AcbField}) =
|
||||
(CC = rs[]; CC(rand(Float64), rand(Float64)))
|
||||
|
||||
|
||||
import Nemo.acb_struct
|
||||
|
||||
mutable struct AcbVector <: AbstractVector{acb_struct}
|
||||
ptr::Ptr{acb_struct}
|
||||
length::Int
|
||||
precision::Int
|
||||
|
||||
function AcbVector(n::Integer, precision::Integer)
|
||||
v = new(
|
||||
ccall((:_acb_vec_init, libarb), Ptr{acb_struct}, (Clong,), n),
|
||||
n,
|
||||
precision,
|
||||
)
|
||||
finalizer(clear!, v)
|
||||
return v
|
||||
end
|
||||
end
|
||||
|
||||
Base.cconvert(::Type{Ptr{acb_struct}}, acb_v::AcbVector) = acb_v.ptr
|
||||
Base.size(acb_v::AcbVector) = (acb_v.length,)
|
||||
Base.precision(acb_v::AcbVector) = acb_v.precision
|
||||
|
||||
function clear!(acb_v::AcbVector)
|
||||
ccall(
|
||||
(:_acb_vec_clear, libarb),
|
||||
Cvoid,
|
||||
(Ptr{acb_struct}, Clong),
|
||||
acb_v,
|
||||
length(acb_v),
|
||||
)
|
||||
end
|
||||
|
||||
Base.@propagate_inbounds function Base.getindex(acb_v::AcbVector, i::Integer)
|
||||
@boundscheck checkbounds(acb_v, i)
|
||||
return unsafe_load(acb_v.ptr, i)
|
||||
end
|
||||
|
||||
_get_ptr(acb_v::AcbVector, i::Int = 1) =
|
||||
acb_v.ptr + (i - 1) * sizeof(acb_struct)
|
||||
|
||||
function AcbVector(v::AbstractVector{acb}, p = prec(parent(first(v))))
|
||||
acb_v = AcbVector(length(v), p)
|
||||
for (i, val) in zip(eachindex(acb_v), v)
|
||||
ccall(
|
||||
(:acb_set, libarb),
|
||||
Cvoid,
|
||||
(Ptr{acb_struct}, Ref{acb}),
|
||||
_get_ptr(acb_v, i),
|
||||
val,
|
||||
)
|
||||
end
|
||||
return acb_v
|
||||
end
|
||||
|
||||
function approx_eig_qr!(v::AcbVector, R::acb_mat, A::acb_mat)
|
||||
ccall(
|
||||
(:acb_mat_approx_eig_qr, libarb),
|
||||
Cint,
|
||||
(
|
||||
Ptr{acb_struct},
|
||||
Ptr{Cvoid},
|
||||
Ref{acb_mat},
|
||||
Ref{acb_mat},
|
||||
Ptr{Cvoid},
|
||||
Int,
|
||||
Int,
|
||||
),
|
||||
v,
|
||||
C_NULL,
|
||||
R,
|
||||
A,
|
||||
C_NULL,
|
||||
0,
|
||||
prec(parent(A)),
|
||||
)
|
||||
return v
|
||||
end
|
||||
|
||||
function (C::AcbField)(z::acb_struct)
|
||||
res = zero(C)
|
||||
ccall((:acb_set, libarb), Cvoid, (Ref{acb}, Ref{acb_struct}), res, z)
|
||||
return res
|
||||
end
|
||||
|
||||
function LinearAlgebra.eigvals(A::acb_mat)
|
||||
n = nrows(A)
|
||||
CC = base_ring(A)
|
||||
p = prec(CC)
|
||||
λ_approx = AcbVector(n, p)
|
||||
R_approx = similar(A)
|
||||
v = approx_eig_qr!(λ_approx, R_approx, A)
|
||||
|
||||
λ = AcbVector(n, p)
|
||||
b = ccall(
|
||||
(:acb_mat_eig_multiple, libarb),
|
||||
Cint,
|
||||
(Ptr{acb_struct}, Ref{acb_mat}, Ptr{acb_struct}, Ref{acb_mat}, Int),
|
||||
λ,
|
||||
A,
|
||||
λ_approx,
|
||||
R_approx,
|
||||
p,
|
||||
)
|
||||
|
||||
return CC.(λ)
|
||||
end
|
||||
|
||||
function eigvals_rump(A::acb_mat)
|
||||
n = nrows(A)
|
||||
CC = base_ring(A)
|
||||
p = prec(CC)
|
||||
λ_approx = AcbVector(n, p)
|
||||
R_approx = similar(A)
|
||||
v = approx_eig_qr!(λ_approx, R_approx, A)
|
||||
|
||||
λ = AcbVector(n, p)
|
||||
b = ccall(
|
||||
(:acb_mat_eig_multiple_rump, libarb),
|
||||
Cint,
|
||||
(Ptr{acb_struct}, Ref{acb_mat}, Ptr{acb_struct}, Ref{acb_mat}, Int),
|
||||
λ,
|
||||
A,
|
||||
λ_approx,
|
||||
R_approx,
|
||||
p,
|
||||
)
|
||||
|
||||
return CC.(λ)
|
||||
end
|
||||
|
||||
function _count_multiplicites(evs)
|
||||
λ_m = Vector{Tuple{acb,Int}}()
|
||||
sizehint!(λ_m, length(evs))
|
||||
i = 1
|
||||
while i <= length(evs)
|
||||
m = 0
|
||||
v = evs[i]
|
||||
while i + m <= length(evs) && isequal(evs[i], evs[i+m])
|
||||
m += 1
|
||||
end
|
||||
push!(λ_m, (evs[i], m))
|
||||
i += m
|
||||
end
|
||||
return sort(
|
||||
λ_m,
|
||||
lt = (a, b) -> (real(first(a)) < real(first(b))),
|
||||
rev = true,
|
||||
)
|
||||
end
|
||||
|
||||
function safe_eigvals(m::acb_mat)
|
||||
# evs = eigvals_rump(m)
|
||||
# all(isfinite.(evs)) && return evs
|
||||
CC = base_ring(m)
|
||||
X = matrix(CC, rand(CC, size(m)))
|
||||
evs = eigvals_rump(X * m * inv(X))
|
||||
return evs
|
||||
all(isfinite.(evs)) && return evs
|
||||
throw(ArgumentError("Could not compute eigenvalues"))
|
||||
end
|
||||
Loading…
Reference in New Issue
Block a user