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using Base.Test using QuantumOptics # Set up operators spinbasis = SpinBasis(1//2) sx = sigmax(spinbasis) sy = sigmay(spinbasis) sx_dense = full(sx) sy_dense = full(sy) @test typeof(sx_dense) == DenseOperator @test typeof(sparse(sx_dense)) == SparseOperator @test sparse(sx_dense) == sx b = FockBasis(3) I = identity(b) I_dense = dense_identity(b) s = tensor(sx, sy) s_dense = tensor(sx_dense, sy_dense) @test typeof(I) == SparseOperator @test typeof(I_dense) == DenseOperator @test_approx_eq 0. norm((I_dense-full(I)).data) @test_approx_eq 0. norm((s_dense - full(s)).data) @test I == identity(destroy(b)) type A <: Operator end a = A() @test_throws ArgumentError sparse(a)
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module FilePathsBase using Dates using Mmap using Printf using UUIDs import Base: == export # Types AbstractPath, Path, SystemPath, PosixPath, WindowsPath, Mode, Status, FileBuffer, # Methods cwd, home, hasparent, parents, isascendant, isdescendant, filename, extension, extensions, exists, absolute, isabsolute, mode, created, modified, normalize, canonicalize, relative, isrelative, ismount, islink, cp, mv, sync, tmpname, tmpdir, mktmp, mktmpdir, chown, executable, readable, writable, raw, readpath, walkpath, diskusage, # Macros @p_str, @__PATH__, @__FILEPATH__, # Constants READ, WRITE, EXEC export isexecutable const PATH_TYPES = Type[] function __init__() # Register the default fallback path type based on the os. register(Sys.iswindows() ? WindowsPath : PosixPath) end """ AbstractPath Defines an abstract filesystem path. # Properties - `segments::Tuple{Vararg{String}}` - path segments (required) - `root::String` - path root (defaults to "/") - `drive::String` - path drive (defaults to "") - `separator::String` - path separator (defaults to "/") # Required Methods - `tryparse(::Type{T}, str::String)` - For parsing string representations of your path - `read(path::T)` - `write(path::T, data)` - `exists(path::T` - whether the path exists - `stat(path::T)` - File status describing permissions, size and creation/modified times - `mkdir(path::T; kwargs...)` - Create a new directory - `rm(path::T; kwags...)` - Remove a file or directory - `readdir(path::T)` - Scan all files and directories at a specific path level """ abstract type AbstractPath end # Define the AbstractPath here to avoid circular include dependencies """ register(::Type{<:AbstractPath}) Registers a new path type to support using `Path("...")` constructor and p"..." string macro. """ function register(T::Type{<:AbstractPath}) # We add the type to the beginning of our PATH_TYPES, # so that they can take precedence over the Posix and # Windows paths. pushfirst!(PATH_TYPES, T) end """ ispathtype(::Type{T}, x::AbstractString) where T <: AbstractPath Return a boolean as to whether the string `x` fits the specified the path type. """ function ispathtype end include("constants.jl") include("utils.jl") include("libc.jl") include("mode.jl") include("status.jl") include("buffer.jl") include("path.jl") include("aliases.jl") include("system.jl") include("posix.jl") include("windows.jl") include("test.jl") include("deprecates.jl") end # end of module
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# This file is a part of InverseFunctions.jl, licensed under the MIT License (MIT). """ inverse(f) Returns the inverse of a function `f`. The following conditions must be satisfied: * `inverse(f) ∘ f` must be equivalent to `identity`. * `inverse(f)(f(x)) β‰ˆ x` * `inverse(inverse(f))` must be equivalent (ideally identical) to `f`. `inverse` supports mapped/broadcasted functions (via `Base.Fix1`) and (on Julia >=v1.6) function composition. Example: ```julia foo(x) = inv(exp(-x) + 1) inv_foo(y) = log(y / (1 - y)) InverseFunctions.inverse(::typeof(foo)) = inv_foo InverseFunctions.inverse(::typeof(inv_foo)) = foo x = 4.2 @assert inverse(foo)(foo(x)) β‰ˆ x @assert inverse(inverse(foo)) == foo X = rand(10) broadcasted_foo = Base.Fix1(broadcast, foo) Y = broadcasted_foo(X) @assert inverse(broadcasted_foo)(Y) β‰ˆ X # Requires Julia >= v1.6: bar = log ∘ foo @assert inverse(bar)(bar(x)) β‰ˆ x ``` """ function inverse end export inverse inverse(::typeof(inverse)) = inverse @static if VERSION >= v"1.6" inverse(f::Base.ComposedFunction) = Base.ComposedFunction(inverse(f.inner), inverse(f.outer)) end inverse(mapped_f::Base.Fix1{<:Union{typeof(map),typeof(broadcast)}}) = Base.Fix1(mapped_f.f, inverse(mapped_f.x)) inverse(::typeof(identity)) = identity inverse(::typeof(inv)) = inv inverse(::typeof(adjoint)) = adjoint inverse(::typeof(transpose)) = transpose inverse(::typeof(exp)) = log inverse(::typeof(log)) = exp inverse(::typeof(exp2)) = log2 inverse(::typeof(log2)) = exp2 inverse(::typeof(exp10)) = log10 inverse(::typeof(log10)) = exp10 inverse(::typeof(expm1)) = log1p inverse(::typeof(log1p)) = expm1
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import LinearAlgebra.reflectorApply! # this should suffice to handle simple qr() const qr_mt_threshold = Ref(64.0) mt_thresholds[:qr] = qr_mt_threshold; function reflectorApply!(x::AbstractVector{DT}, Ο„::Number, A::StridedMatrix{DT} ) where {DT <: Union{DoubleFloat{T}, Complex{DoubleFloat{T}}}} where T has_offset_axes(x) && throw(ArgumentError("not implemented " * "for offset axes")) m, n = size(A) if length(x) != m throw(DimensionMismatch("reflector has length $(length(x)), " * "which must match the first dimension of matrix A, $m")) end use_threads = (nthreads() > 1) && (Float64(m)*Float64(n) > qr_mt_threshold[]) if use_threads @threads for j = 1:n _mt_refl_loop1(Ο„,A,x,m,j) end else @inbounds begin for j = 1:n vAj = conj(Ο„)*(A[1, j] + dot(view(x,2:m), view(A,2:m,j))) A[1, j] -= vAj axpy!( -vAj, view(x,2:m), view(A,2:m,j)) # for i = 2:m # A[i,j] -= vAj * x[i] # end end end end return A end function _mt_refl_loop1(Ο„,A,x,m,j) @inbounds begin vAj = conj(Ο„)*(A[1, j] + dot(uview(x,2:m), uview(A,2:m,j))) A[1, j] -= vAj # axpy!( -vAj, uview(x,2:m), uview(A,2:m,j)) for i = 2:m A[i,j] -= vAj * x[i] end end end import LinearAlgebra.generic_matvecmul! const gemv_mt_threshold = Ref(512.0) mt_thresholds[:gemv] = gemv_mt_threshold; const gemtv_mt_threshold = Ref(64.0) mt_thresholds[:gemtv] = gemtv_mt_threshold; function generic_matvecmul!(C::AbstractVector{DoubleFloat{T}}, tA, A::AbstractVecOrMat{DoubleFloat{T}}, B::AbstractVector{DoubleFloat{T}}) where {T <: AbstractFloat} has_offset_axes(C, A, B) && throw(ArgumentError("offset axes are not supported")) mB = length(B) mA, nA = lapack_size(tA, A) if mB != nA throw(DimensionMismatch("matrix A has dimensions ($mA,$nA), vector B has length $mB")) end if mA != length(C) throw(DimensionMismatch("result C has length $(length(C)), needs length $mA")) end if (tA == 'T') || (tA == 'C') use_threads = (nthreads() > 1) && (Float64(mB)*Float64(mA) > gemtv_mt_threshold[]) if use_threads liA = LinearIndices(A) @threads for k = 1:mA @inbounds C[k] = _dot(nA,A,liA[1,k],B,1,Vec{Npref,T}) end else @inbounds for k = 1:mA C[k] = dot(uview(A,:,k),B) end end else fill!(C,zero(T)) use_threads = (nthreads() > 1) && (Float64(mB)*Float64(mA) > gemv_mt_threshold[]) if use_threads nt = nthreads() nd,nr = divrem(mA, nt) liA = LinearIndices(A) @threads for it=1:nt # for it=1:nt # DEBUG j1 = it*nd j0 = j1-nd+1 _mt_gemv_loop1(nA,A,liA,B,C,j0,j1) end if nr > 0 j0 = nt*nd+1 @inbounds for i = 1:nA _axpy!(nr,B[i],A,liA[j0,i],C,j0,Vec{Npref,T}) end end else @inbounds begin astride = stride(A,2) for k=1:mB ioff = (k-1)*astride b = B[k] for i = 1:mA C[i] += A[ioff + i] * b end end end # liA = LinearIndices(A) # @inbounds for i = 1:nA # _axpy!(mA,B[i],A,liA[1,i],C,1,Vec{Npref,T}) # end end end C end function _mt_gemv_loop1(nA,A::AbstractVecOrMat{DoubleFloat{T}},liA, B,C,j0,j1) where {T} # Julia v1.0+ compiler doesn't need help here # nd = j1-j0+1 # @inbounds for i = 1:nA # _axpy!(nd,B[i],A,liA[j0,i],C,j0,Vec{Npref,T}) # end @inbounds for i=1:nA b = B[i] for j=j0:j1 C[j] += b * A[j,i] end end end
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st = state(p=VariableSpec(),t=VariableSpec()) @test mass_volume(water,st(3.0, 300.0)) β‰ˆ 0.100_215_168E-2 @test mass_volume(water,st(3.0u"MPa", 300.0u"K")) β‰ˆ 0.100_215_168E-2u"m^3/kg" @test mass_volume(water,st(80.0, 300.0)) β‰ˆ 0.971_180_894E-3 @test mass_volume(water,st(80.0u"MPa", 300.0u"K")) β‰ˆ 0.971_180_894E-3u"m^3/kg" @test mass_volume(water,st(3.0, 500.0)) β‰ˆ 0.120_241_800E-2 @test mass_volume(water,st(3.0u"MPa", 500.0u"K")) β‰ˆ 0.120_241_800E-2u"m^3/kg" @test mass_enthalpy(water,st(3.0, 300.0)) β‰ˆ 0.115_331_273E3 @test mass_enthalpy(water,st(3.0u"MPa", 300.0u"K")) β‰ˆ 0.115_331_273E3u"kJ/kg" @test mass_enthalpy(water,st(80.0, 300.0)) β‰ˆ 0.184_142_828E3 @test mass_enthalpy(water,st(80.0u"MPa", 300.0u"K")) β‰ˆ 0.184_142_828E3u"kJ/kg" @test mass_enthalpy(water,st(3.0, 500.0)) β‰ˆ 0.975_542_239E3 @test mass_enthalpy(water,st(3.0u"MPa", 500.0u"K")) β‰ˆ 0.975_542_239E3u"kJ/kg" @test mass_internal_energy(water,st(3.0, 300.0)) β‰ˆ 0.112_324_818E3 @test mass_internal_energy(water,st(3.0u"MPa", 300.0u"K")) β‰ˆ 0.112_324_818E3u"kJ/kg" @test mass_internal_energy(water,st(80.0, 300.0)) β‰ˆ 0.106_448_356E3 @test mass_internal_energy(water,st(80.0u"MPa", 300.0u"K")) β‰ˆ 0.106_448_356E3u"kJ/kg" @test mass_internal_energy(water,st(3.0, 500.0)) β‰ˆ 0.971_934_985E3 @test mass_internal_energy(water,st(3.0u"MPa", 500.0u"K")) β‰ˆ 0.971_934_985E3u"kJ/kg" @test mass_entropy(water,st(3.0, 300.0)) β‰ˆ 0.392_294_792 @test mass_entropy(water,st(3.0u"MPa", 300.0u"K")) β‰ˆ 0.392_294_792u"kJ/kg/K" @test mass_entropy(water,st(80.0, 300.0)) β‰ˆ 0.368_563_852 @test mass_entropy(water,st(80.0u"MPa", 300.0u"K")) β‰ˆ 0.368_563_852u"kJ/kg/K" @test mass_entropy(water,st(3.0, 500.0)) β‰ˆ 0.258_041_912E1 @test mass_entropy(water,st(3.0u"MPa", 500.0u"K")) β‰ˆ 0.258_041_912E1u"kJ/kg/K" @test mass_cp(water,st(3.0, 300.0)) β‰ˆ 0.417_301_218E1 @test mass_cp(water,st(3.0u"MPa", 300.0u"K")) β‰ˆ 0.417_301_218E1u"kJ/kg/K" @test mass_cp(water,st(80.0, 300.0)) β‰ˆ 0.401_008_987E1 @test mass_cp(water,st(80.0u"MPa", 300.0u"K")) β‰ˆ 0.401_008_987E1u"kJ/kg/K" @test mass_cp(water,st(3.0, 500.0)) β‰ˆ 0.465_580_682E1 @test mass_cp(water,st(3.0u"MPa", 500.0u"K")) β‰ˆ 0.465_580_682E1u"kJ/kg/K" @test sound_speed(water,st(3.0, 300.0)) β‰ˆ 0.150_773_921E4 @test sound_speed(water,st(3.0u"MPa", 300.0u"K")) β‰ˆ 0.150_773_921E4u"m/s" @test sound_speed(water,st(80.0, 300.0)) β‰ˆ 0.163_469_054E4 @test sound_speed(water,st(80.0u"MPa", 300.0u"K")) β‰ˆ 0.163_469_054E4u"m/s" @test sound_speed(water,st(3.0, 500.0)) β‰ˆ 0.124_071_337E4 @test sound_speed(water,st(3.0u"MPa", 500.0u"K")) β‰ˆ 0.124_071_337E4u"m/s"
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1.787623
1,422
## MNIST data using Non-negative matrix Factorization using MLDatasets train_x, train_y = MNIST.traindata() test_x, test_y = MNIST.testdata() ## Create the input for NMF m = size(train_x,1)*size(train_x,2) n = size(train_x,3) X = Float64.(reshape(train_x, m, n)) A = copy(X') # input ## Show a random set of images imgs = Gray.(reshape(A[1:25,:]',28,28,25)) p = plot([heatmap(imgs[:,:,i]') for i=1:25]...,framestyle=:none,yflip=true) ## heatmap(Gray.(reshape(sum(A;dims=1)/size(A,1),28,28)'),framestyle=:none,yflip=true,colorbar=true) ## #using ImageMagick using NMF using Images ## Make a rank 5 factorization k = 5 W, H = NMF.nndsvd(A, k; variant= :ar) # alginst = NMF.MultUpdate{Float64}(obj=:mse, maxiter=1000, verbose=false) alginst = NMF.ALSPGrad{Float64}(maxiter=100) r = NMF.solve!(alginst, A, W, H) ## show the images imgs = Gray.(reshape(r.H',28,28,k)) p = plot([heatmap(imgs[:,:,i]) for i=1:k]...,framestyle=:none,yflip=true) savefig("nmf-mnist-$k.pdf") ## Turn this into a method function nmf(A,k) W, H = NMF.nndsvd(A, k; variant= :ar) alginst = NMF.ALSPGrad{Float64}(maxiter=100) r = NMF.solve!(alginst, A, W, H) imgs = Gray.(reshape(r.H',28,28,k)) plot([heatmap(imgs[:,:,i]) for i=1:k]...,framestyle=:none,yflip=true), r savefig("nmf-mnist-$k.pdf") end nmf(A,8) # alginst = NMF.MultUpdate{Float64}(obj=:mse, maxiter=1000, verbose=false) ## nmf(A,15) ## nmf(A,25) ## nmf(A,50) ## nmf(A,100)
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2.133034
669
""" SeisMP(in,operator,param,iter,lp,imax) Robust Matching Pursuit algorithm via lp-norm inner product # Arguments - `in`: Noisy data - `operator`: Any operator passed the dot test - `param`: parameters for the operator - `iter`: Max iterations for the matching pursuit - `lp`: lp-norm space inner product - `imax`: Max interation for the lp-norm inner product """ function SeisMP(in,operator,param,iter,lp,imax) Madj=operator(in,param,-1,lp,imax); x=zeros(size(Madj)); dr=zeros(size(in)); r=in for i=1:iter Madj=operator(r,param,-1,lp,imax); ind=findmax(abs.(Madj))[2]; M=zeros(size(Madj)); M[ind[1],ind[2]]=Madj[ind[1],ind[2]]; g=operator(M,param,1,lp,imax); alpha=LP_norm(vec(g),vec(r),lp,imax,1); dr=dr+alpha*g x=x+alpha*M; r=r-alpha*g; end return dr end
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2.112195
410
################################################################################ # # NfOrd.jl : Orders in number fields # # This file is part of hecke. # # Copyright (c) 2015, 2016: Claus Fieker, Tommy Hofmann # All rights reserved. # # Redistribution and use in source and binary forms, with or without # modification, are permitted provided that the following conditions are met: # * Redistributions of source code must retain the above copyright notice, this # list of conditions and the following disclaimer. # # * Redistributions in binary form must reproduce the above copyright notice, # this list of conditions and the following disclaimer in the documentation # and/or other materials provided with the distribution. # # THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" # AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE # IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE # DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE # FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL # DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR # SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER # CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, # OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE # OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. # # # Copyright (C) 2015, 2016 Tommy Hofmann # ################################################################################ export isequationorder, nf, parent, basis, basis_mat, basis_mat_inv, discriminant, degree, gen_index, index, is_index_divisor, deepcopy, signature, minkowski_mat, norm_change_const, in, den, +, poverorder, pmaximal_overorder ################################################################################ # # Predicates # ################################################################################ doc""" isequationorder(O::NfOrd) -> Bool > Returns whether $\mathcal O$ is the equation order. """ isequationorder(O::NfOrd) = O.isequationorder ################################################################################ # # Ambient number field # ################################################################################ doc""" nf(O::NfOrd) -> AnticNumberField > Returns the ambient number field of $\mathcal O$. """ nf(O::NfOrd) = O.nf ################################################################################ # # Parent # ################################################################################ doc""" parent(O::NfOrd) -> NfOrdSet > Returns the parent of $\mathcal O$, that is, the set of orders of the ambient > number field. """ parent(O::NfOrd) = O.parent ################################################################################ # # Basis # ################################################################################ function basis_ord(O::NfOrd) if isdefined(O, :basis_ord) return O.basis_ord::Array{NfOrdElem{typeof(O)}, 1} end b = O.basis_nf B = Array(NfOrdElem{typeof(O)}, length(b)) for i in 1:length(b) v = fill(FlintZZ(0), length(b)) v[i] = FlintZZ(1) B[i] = O(b[i], v; check = false) end O.basis_ord = B return B::Array{NfOrdElem{typeof(O)}, 1} end doc""" basis(O::NfOrd) -> Array{NfOrdElem, 1} > Returns the $\mathbf Z$-basis of $\mathcal O$. """ function basis(O::NfOrd) return basis_ord(O) end doc""" basis(O::NfOrd, K::AnticNumberField) -> Array{nf_elem, 1} > Returns the $\mathbf Z$-basis of $\mathcal O$ as elements of the ambient > number field. """ function basis(O::NfOrd, K::AnticNumberField) nf(O) != K && error() return deepcopy(O.basis_nf) end ################################################################################ # # (Inverse) basis matrix # ################################################################################ doc""" basis_mat(O::NfOrd) -> FakeFmpqMat > Returns the basis matrix of $\mathcal O$ with respect to the power basis > of the ambient number field. """ function basis_mat(O::NfOrd) if isdefined(O, :basis_mat) return deepcopy(O.basis_mat) end A = O.basis_nf O.basis_mat = FakeFmpqMat(basis_mat(A)) return deepcopy(O.basis_mat) end doc""" basis_mat_inv(O::NfOrd) -> FakeFmpqMat > Returns the inverse of the basis matrix of $\mathcal O$. """ function basis_mat_inv(O::NfOrd) if isdefined(O, :basis_mat_inv) return deepcopy(O.basis_mat_inv) end O.basis_mat_inv = inv(basis_mat(O)) return deepcopy(O.basis_mat_inv) end ################################################################################ # # Discriminant # ################################################################################ doc""" discriminant(O::NfOrd) -> fmpz > Returns the discriminant of $\mathcal O$. """ function discriminant(O::NfOrd) if isdefined(O, :disc) return deepcopy(O.disc) end if isequationorder(O) O.disc = num(discriminant(nf(O).pol)) return deepcopy(O.disc) end return discriminant(basis(O)) end ################################################################################ # # Degree # ################################################################################ doc""" degree(O::NfOrd) -> Int > Returns the degree of $\mathcal O$. """ degree(O::NfOrd) = degree(O.nf) ################################################################################ # # (Generalized) index # ################################################################################ doc""" gen_index(O::NfOrd) -> fmpq > Generalized index of $\mathcal O$ with respect to the ambient equation > order $\mathbf Z[\alpha]$. """ function gen_index(O::NfOrd) if isdefined(O, :gen_index) return deepcopy(O.gen_index) else O.gen_index = QQ(basis_mat(O).den^degree(O), det(basis_mat(O).num)) return deepcopy(O.gen_index) end end doc""" index(O::NfOrd) -> fmpz > Assuming that the order $\mathcal O$ contains the ambient equation order > $\mathbf Z[\alpha]$, this function returns the index $[ \mathcal O : \mathbf ZZ]$. """ function index(O::NfOrd) if isdefined(O, :index) return deepcopy(O.index) else i = gen_index(O) den(i) != 1 && error("Order does not contain the equation order") O.index = num(i) return deepcopy(O.index) end end ################################################################################ # # Index divisor # ################################################################################ doc""" is_index_divisor(O::NfOrd, d::fmpz) -> Bool is_index_divisor(O::NfOrd, d::Int) -> Bool > Returns whether $d$ is a divisor of the index of $\mathcal O$. """ function is_index_divisor(O::NfOrd, d::Union{fmpz, Int}) i = index(O) return i % d == 0 end ################################################################################ # # Deepcopy # ################################################################################ doc""" deepcopy(O::NfOrd) -> NfOrd > Makes a copy of $\mathcal O$. """ function deepcopy(O::NfOrd) z = NfOrdGen() for x in fieldnames(O) # This is slow. Julia can't interfere the type of the right hand side. # (According to @code_warntype) if x != :nf && x != :parent && isdefined(O, x) z.(x) = deepcopy(getfield(O, x)) end end z.nf = O.nf z.parent = O.parent return z end ################################################################################ # # Signature # ################################################################################ doc""" signature(O::NfOrd) -> Tuple{Int, Int} > Returns the signature of the ambient number field of $\mathcal O$. """ function signature(x::NfOrd) if x.signature[1] != -1 return x.signature else x.signature = signature(nf(x)) return x.signature end end ################################################################################ # # Minkowski matrix # ################################################################################ doc""" minkowski_mat(O::NfOrd, abs_tol::Int = 64) -> arb_mat > Returns the Minkowski matrix of $\mathcal O$. > Thus if $\mathcal O$ has degree $d$, then the > result is a matrix in $\operatorname{Mat}_{d\times d}(\mathbf R)$. > The entries of the matrix are real balls of type `arb` with radius > less then `2^-abs_tol`. """ function minkowski_mat(O::NfOrd, abs_tol::Int = 64) if isdefined(O, :minkowski_mat) && O.minkowski_mat[2] > abs_tol A = deepcopy(O.minkowski_mat[1]) else T = Array(Array{arb, 1}, degree(O)) B = O.basis_nf for i in 1:degree(O) T[i] = minkowski_map(B[i], abs_tol) end p = maximum([ prec(parent(T[i][j])) for i in 1:degree(O), j in 1:degree(O) ]) M = ArbMatSpace(ArbField(p), degree(O), degree(O))() for i in 1:degree(O) for j in 1:degree(O) M[i, j] = T[i][j] end end O.minkowski_mat = (M, abs_tol) A = deepcopy(M) end return A end ################################################################################ # # Inclusion of number field elements # ################################################################################ # Check if a number field element is contained in O # In this case, the second return value is the coefficient vector with respect # to the basis of O function _check_elem_in_order(a::nf_elem, O::NfOrd) M = MatrixSpace(FlintZZ, 1, degree(O))() t = FakeFmpqMat(M) elem_to_mat_row!(t.num, 1, t.den, a) x = t*basis_mat_inv(O) v = Array(fmpz, degree(O)) for i in 1:degree(O) v[i] = deepcopy(x.num[1,i]) end return (x.den == 1, v) end doc""" in(a::nf_elem, O::NfOrd) -> Bool > Checks whether $a$ lies in $\mathcal O$. """ function in(a::nf_elem, O::NfOrd) (x,y) = _check_elem_in_order(a,O) return x end ################################################################################ # # Denominator in an order # ################################################################################ doc""" den(a::nf_elem, O::NfOrd) -> fmpz > Returns the smallest positive integer $k$ such that $k \cdot a$ lies in O. """ function den(a::nf_elem, O::NfOrd) d = den(a) b = d*a M = MatrixSpace(ZZ, 1, degree(O))() elem_to_mat_row!(M, 1, fmpz(1), b) t = FakeFmpqMat(M, d) z = t*basis_mat_inv(O) return z.den end ##################################3############################################# # # Norm change constant # ################################################################################ # For x = \sum_i x_i omega_i let |x|_1 = \sqrt(x_1^2 + ... + x_d^2). # And let |x|_2 = sqrt(T_2(x)) # Then there exist c1, c2 such that # |x|_2^2 <= c1 |x|_2^2, |x|_1^2 <= c2 |x|_1^2 # A suitable pair (c1, c2) can be determined using the Minkowski map/matrix # # Reference # Fieker, Friedrichs # On Reconstruction of Algebraic Numbers # (in particular p. 288) doc""" norm_change_const(O::NfOrd) -> (Float64, Float64) > Returns $(c_1, c_2) \in \mathbf R_{>0}^2$ such that for all > $x = \sum_{i=1}^d x_i \omega_i \in \mathcal O$ we have > $T_2(x) \leq c_1 \cdot \sum_i^d x_i^2$ > and > $\sum_i^d x_i^2 \leq c_2 \cdot T_2(x)$, > where $(\omega_i)_i$ is the $\mathbf Z$-basis of $\mathcal O$. """ function norm_change_const(O::NfOrd) if O.norm_change_const[1] > 0 return O.norm_change_const else d = degree(O) M = transpose(minkowski_mat(O, 64)) # I need to swap rows (really?) # I don't think we have to swap rows, since permutation matrices are orthogonal #r1, r2 = signature(O) #for i in 2:2:r2 # swap_rows!(M, r1 + i, r1 + 2*r2 - i + 1) #end M = [ Float64(M[i, j]) for i in 1:rows(M), j in 1:cols(M) ] N = transpose(M)*M r = sort(eigvals(N)) # N = transpose(M)*M # N = MatrixSpace(AcbField(prec(base_ring(N))), rows(N), cols(N))(N) # chi = charpoly(PolynomialRing(base_ring(N), "x")[1], N) # return chi # r = roots(chi) # # I want upper bound for the largest and lower bound for the smallest root # # tm = arf_struct(0, 0, 0, 0) # ccall((:arf_init, :libarb), Void, (Ptr{arf_struct}, ), &tm) # ccall((:arb_get_abs_ubound_arf, :libarb), Void, (Ptr{arf_struct}, Ptr{arb}), &tm, &real(r[end])) # # 3 is round to infinity # c1 = ccall((:arf_get_d, :libarb), Cdouble, (Ptr{arf_struct}, Cint), &tm, 3) # # ccall((:arb_get_abs_ubound_arf, :libarb), Void, (Ptr{arf_struct}, Ptr{arb}), &tm, &(inv(real(r[1])))) # c2 = ccall((:arf_get_d, :libarb), Cdouble, (Ptr{arf_struct}, Cint), &tm, 3) # # ccall((:arf_clear, :libarb), Void, (Ptr{arf_struct}, ), &tm) # # z = (c1, c2) z = (r[end], inv(r[1])) O.norm_change_const = z return z end end ################################################################################ # # Addition of orders # ################################################################################ doc""" +(R::NfOrd, S::NfOrd) -> NfOrd > Given two orders $R$, $S$ of $K$, this function returns the smallest order > containing both $R$ and $S$. It is assumed that $R$, $S$ contain the ambient > equation order and have coprime index. """ function +(a::NfOrd, b::NfOrd) parent(a) != parent(b) && error("Orders must have same ambient number field") gcd(index(a), index(b)) != 1 && error("Indices must be coprime") aB = basis_mat(a) bB = basis_mat(b) d = degree(a) c = sub(_hnf(vcat(bB.den*aB.num, aB.den*bB.num), :lowerleft), d + 1:2*d, 1:d) O = Order(nf(a), FakeFmpqMat(c, aB.den*bB.den)) return O end ################################################################################ # # p-Overorder # ################################################################################ function _poverorder(O::NfOrd, p::fmpz) #OO = NfOrdGen(colon_ideal(pradical(O, p))) OO = ring_of_multipliers(pradical(O, p)) #OO.basis_mat = hnf(OO.basis_mat) return OO end function _poverorder(O::NfOrd, p::Integer) return _poverorder(O, ZZ(p)) end doc""" poverorder(O::NfOrd, p::fmpz) -> NfOrd poverorder(O::NfOrd, p::Integer) -> NfOrd > This function tries to find an order that is locally larger than $\mathcal O$ at the prime $p$: > If $p$ divides the index $[ \mathcal O_K : \mathcal O]$, this function will > return an order $\tilde{\mathcal O}$ such that $v_p([ \mathcal O_K : \tilde{\mathcal O}]) < v_p([ \mathcal O_K : \mathcal O])$. > Otherwise $\mathcal O$ is returned. """ function poverorder(O::NfOrd, p::fmpz) if isequationorder(O) return dedekind_poverorder(O, p) else return _poverorder(O, p) end end function poverorder(O::NfOrd, p::Integer) return poverorder(O::NfOrd, ZZ(p)) end ################################################################################ # # p-maximal overorder # ################################################################################ doc""" pmaximal_overorder(O::NfOrd, p::fmpz) -> NfOrd pmaximal_overorder(O::NfOrd, p::Integer) -> NfOrd > This function finds a $p$-maximal order $\tilde{\mathcal O}$ containing $\mathcal O$. > That is, the index $[ \mathcal O_K : \tilde{\mathcal O}]$ is not dividible by $p$. """ function pmaximal_overorder(O::NfOrd, p::fmpz) @vprint :NfOrd 1 "computing p-maximal overorder for $p ... \n" if rem(discriminant(O), p) != 0 return O end d = discriminant(O) @vprint :NfOrd 1 "extending the order at $p for the first time ... \n" OO = poverorder(O, p) dd = discriminant(OO) i = 1 while d != dd i += 1 @vprint :NfOrd 1 "extending the order at $p for the $(i)th time ... \n" d = dd OO = poverorder(OO, p) dd = discriminant(OO) end return OO end function pmaximal_overorder(O::NfOrd, p::Integer) return pmaximal_overorder(O, ZZ(p)) end function _MaximalOrder(O::NfOrd, primes::Array{fmpz, 1}) OO = deepcopy(O) disc = abs(discriminant(O)) for i in 1:length(primes) p = primes[i] (j, disc) = valuation(disc, p) if j == 1 continue end @vprint :NfOrd 1 "Computing p-maximal overorder for $p ..." OO += pmaximal_overorder(O, p) @vprint :NfOrd 1 "done\n" end return OO end function _MaximalOrder(O::NfOrd) OO = deepcopy(O) @vtime :NfOrd fac = factor(Nemo.abs(discriminant(O))) for (p,j) in fac if j == 1 continue end @vprint :NfOrd 1 "Computing p-maximal overorder for $p ..." OO += pmaximal_overorder(O, p) @vprint :NfOrd 1 "done\n" end return OO end
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2.785497
5,930
module Corpora require("LoadEnvironment.jl") require("DataTypes.jl") ## Using using ArrayViews using DataTypes ## Exports export Token, DataToken, DummyToken export Sentence export read_linecorpus export text export get_context, initialize_contexts export replace_vocab! abstract Token; immutable DummyToken <: Token word::String; count::Vector{CInt}; end DummyToken(word::String) = DummyToken(word, [0]) immutable DataToken <: Token word; idx::Int64; count::Vector{Int64}; vector::DenseArray{Float,1} gradient::DenseArray{Float,1} end immutable Sentence text::Vector{Token} end Sentence() = Sentence(Token[]) text(s::Vector{Token}) = join(map(x->x.word, s), " ") text(sentence::Sentence) = text(sentence.text) function readuntil_ws_eol(s::IO) out = IOBuffer() lineend = false firstchar = true while !eof(s) c = read(s, Char) if c == ' ' || c == '\n' if !firstchar if c == '\n' lineend = true end break end else firstchar = false write(out, c) end end return (lineend,takebuf_string(out)) end function read_linecorpus(path::String, init_from_data, init_from_dummy, init_params; dummy_vocab=Dict{String,Token}(), unk="_UNK_", limit_lines=0, skiprows=0, skipunk=true, no_new_vocab=false, lock_tokens=false, dummies_only=false) # Estimate number of lines lcounter = 0 open(path) do fin for (iline, line) in enumerate(eachline(fin)) if iline < skiprows continue end lcounter += 1 if limit_lines > 0 && lcounter >= limit_lines break end end end data = Array(Sentence, lcounter) n_words_total = 0 lcounter = 1 max_lensen = -1 open(path) do fin iline = 1 sentence = Sentence() data[lcounter] = sentence lensen = 0 while !eof(fin) (eol, token) = readuntil_ws_eol(fin) if iline < skiprows continue end ## For every token in the text # Check if it is already in the vocabulary # If not: add it with count 1 # If it is: increase the counters if !haskey(dummy_vocab, token) if !no_new_vocab #vocab[token] = inittoken(token, lock_tokens); dummy_vocab[token] = DummyToken(token); else if skipunk n_words_total += 1 continue else token = unk end end end dummytok = dummy_vocab[token] push!(sentence.text,dummytok) lensen += 1 dummytok.count[1] += 1 n_words_total += 1 if eol if lensen > max_lensen max_lensen = lensen end end if eol if (limit_lines > 0 && lcounter >= limit_lines) break end if eof(fin) break end lcounter += 1 sentence = Sentence() data[lcounter] = sentence lensen = 0 end end end vocab = if dummies_only dummy_vocab else v = Dict{String,Token}() # Convert DummyTokens to real tokens ## Signal the model that the vocabulary has been acquired init_params(length(dummy_vocab)) ## Initialize token types for (iword,(word, tok)) in enumerate(dummy_vocab) if typeof(tok) == DataToken v[word] = init_from_data(iword,tok) else v[word] = init_from_dummy(iword,tok) end end ## Replace the dummies by data tokens for isentence in 1:size(data,1) for itoken in 1:size(data[isentence].text,1) data[isentence].text[itoken] = v[data[isentence].text[itoken].word] end end v end return data, vocab, n_words_total, max_lensen; end function replace_vocab!(data::Vector{Sentence}, vocab::Dict{String,Token}) for isentence in 1:size(data,1) for itoken in 1:size(data[isentence].text,1) data[isentence].text[itoken] = vocab[data[isentence].text[itoken].word] end end end function get_context(sentence::Vector{Token}, pos::Int64, windowsize::Int64) lensen = size(sentence,1) windowsize_half = int64(windowsize/2) window_start = max(1, pos - windowsize_half) window_end = min(lensen, pos + windowsize_half) window = Token[] for i=window_start:window_end if i != pos push!(window, sentence[i]) end end return window end function initialize_contexts(data::Vector{Sentence}, windowsize::Int64, minlensen=5) for sentence in data if size(sentence.text,1) < 5 continue end for pos=1:size(sentence.text,1) empty!(sentence.text[pos].context) append!(sentence.text[pos].context, get_context(sentence.text, pos, windowsize)) end end end end
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1.852883
3,052
# moving average functions @testset "Moving Averages" begin Random.seed!(SEED) @testset "Array" begin x = cumsum(randn(N)) X = cumsum(randn(N, 2), dims=1) tmp = sma(x) @test size(tmp, 1) == N @test size(tmp, 2) == 1 @test sum(isnan.(tmp)) != N tmp = mama(x) @test size(tmp, 1) == N @test size(tmp, 2) == 2 @test sum(isnan.(tmp)) != N tmp = ema(x) @test size(tmp, 1) == N @test size(tmp, 2) == 1 @test sum(isnan.(tmp)) != N tmp = wma(x) @test size(tmp, 1) == N @test size(tmp, 2) == 1 @test sum(isnan.(tmp)) != N tmp = hma(x) @test size(tmp, 1) == N @test size(tmp, 2) == 1 @test sum(isnan.(tmp)) != N tmp = trima(x) @test size(tmp, 1) == N @test size(tmp, 2) == 1 @test sum(isnan.(tmp)) != N tmp = mma(x) @test size(tmp, 1) == N @test size(tmp, 2) == 1 @test sum(isnan.(tmp)) != N tmp = tema(x) @test size(tmp, 1) == N @test size(tmp, 2) == 1 @test sum(isnan.(tmp)) != N tmp = dema(x) @test size(tmp, 1) == N @test size(tmp, 2) == 1 @test sum(isnan.(tmp)) != N tmp = swma(x) @test size(tmp, 1) == N @test size(tmp, 2) == 1 @test sum(isnan.(tmp)) != N tmp = kama(x) @test size(tmp, 1) == N @test size(tmp, 2) == 1 @test sum(isnan.(tmp)) != N tmp = alma(x) @test size(tmp, 1) == N @test size(tmp, 2) == 1 @test sum(isnan.(tmp)) != N tmp = zlema(x) @test size(tmp, 1) == N @test size(tmp, 2) == 1 @test sum(isnan.(tmp)) != N tmp = vwma(X) @test size(tmp, 1) == N @test size(tmp, 2) == 1 tmp = vwap(X) @test size(tmp, 1) == N @test size(tmp, 2) == 1 tmp = hama(x) @test size(tmp, 1) == N @test size(tmp, 2) == 1 end @testset "Temporal" begin x = TS(cumsum(randn(N))) X = TS(cumsum(randn(N, 2), dims=1)) # moving average functions tmp = sma(x) @test size(tmp, 1) == N @test size(tmp, 2) == 1 tmp = mama(x) @test size(tmp, 1) == N @test size(tmp, 2) == 2 tmp = ema(x) @test size(tmp, 1) == N @test size(tmp, 2) == 1 tmp = wma(x) @test size(tmp, 1) == N @test size(tmp, 2) == 1 tmp = hma(x) @test size(tmp, 1) == N @test size(tmp, 2) == 1 tmp = trima(x) @test size(tmp, 1) == N @test size(tmp, 2) == 1 tmp = mma(x) @test size(tmp, 1) == N @test size(tmp, 2) == 1 tmp = tema(x) @test size(tmp, 1) == N @test size(tmp, 2) == 1 tmp = dema(x) @test size(tmp, 1) == N @test size(tmp, 2) == 1 tmp = swma(x) @test size(tmp, 1) == N @test size(tmp, 2) == 1 tmp = kama(x) @test size(tmp, 1) == N @test size(tmp, 2) == 1 tmp = alma(x) @test size(tmp, 1) == N @test size(tmp, 2) == 1 tmp = zlema(x) @test size(tmp, 1) == N @test size(tmp, 2) == 1 tmp = vwma(X) @test size(tmp, 1) == N @test size(tmp, 2) == 1 tmp = vwap(X) @test size(tmp, 1) == N @test size(tmp, 2) == 1 tmp = hama(x) @test size(tmp, 1) == N @test size(tmp, 2) == 1 end end
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1.719004
2,089
using Query using DataFrames using Test @testset "Pipe Syntax" begin df = DataFrame(a=[1,2,3], b=[3.,2.,1.], c=["a", "b", "c"]) df2 = df |> @query(i, begin @where i.a>2 @select {i.c, i.b} end) |> DataFrame @test df2 isa DataFrame @test size(df2) == (1,2) @test df2[1,:c] == "c" @test df2[1,:b] == 1. end
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function transform_to_steps!(A::AbstractMatrix; epsilon = 1e-7, degenerate_exeption = true) # @inbounds - Π·Π°ΠΌΠ΅Ρ‚Π½ΠΎΠ³ΠΎ ускорСния здСсь это Π½Π΅ Π΄Π°Ρ‘Ρ‚!!! for k ∈ 1:size(A, 1) absval, Ξ”k = findmax(abs, @view(A[k:end,k])) (degenerate_exeption && absval <= epsilon) && throw("ВыроТдСная ΠΌΠ°Ρ‚Ρ€ΠΈΡ†Π°") Ξ”k > 1 && swap!(@view(A[k,k:end]), @view(A[k+Ξ”k-1,k:end])) for i ∈ k+1:size(A,1) t = A[i,k]/A[k,k] @. @views A[i,k:end] = A[i,k:end] - t * A[k,k:end] # макрос @. замСняСт всС "сквозныС Ρ‚ΠΎΡ‡ΠΊΠΈ" # макрос @views замСняСт ΠΌΠ½ΠΎΠ³ΠΎΠΊΡ€Π°Ρ‚Π½ΠΎΠ΅ ΠΏΡ€ΠΈΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ макроса @view end end return A end function swap!(A,B) for i in eachindex(A) A[i], B[i] = B[i], A[i] end end function swap_2!(A, i, iMax, k) A[i, k], A[iMax, k] = A[iMax, k], A[i, k] end function transform_to_steps_2!(a::Matrix) countSwaps = 1 c = a eps = 0.000001 for i = 1:size(a, 1) iMax = i for j = i:size(a, 1) if abs(c[j, i]) > abs(c[iMax, i]) iMax = j end end if abs(c[iMax, i]) >= eps for k = 1:size(a, 2) swap_2!(c, i, iMax, k) end countSwaps = -countSwaps * (i != iMax ? 1 : -1) for j = i+1:size(a, 1) q = -c[j, i] / c[i, i] for k = size(a, 2):-1:i c[j, k] += q*c[i, k] if abs(c[j, k]) < eps c[j, k] = 0 end end end end end if countSwaps > 0 c * -1 end c end function transform_to_steps_edit!(A::AbstractMatrix; epsilon = 1e-7, degenerate_exeption = true) ans = [] for k ∈ 1:size(A, 1) absval, Ξ”k = findmax(abs, @view(A[k:end,k])) (degenerate_exeption && absval <= epsilon) && throw("ВыроТдСная ΠΌΠ°Ρ‚Ρ€ΠΈΡ†Π°") Ξ”k > 1 && swap!(@view(A[k,k:end]), @view(A[k+Ξ”k-1,k:end])) for i ∈ k+1:size(A,1) t = A[i,k]/A[k,k] @. @views A[i,k:end] = A[i,k:end] - t * A[k,k:end] end end for i = 1:size(A,1) for j = i:size(A,2) if abs(A[i, j]) > epsilon push!(ans, j) break; end end end return ans end function rank_(B::AbstractMatrix; epsilon = 1e-7, degenerate_exeption = true) ans = [] A = copy(B) for k ∈ 1:size(A, 1) absval, Ξ”k = findmax(abs, @view(A[k:end,k])) (degenerate_exeption && absval <= epsilon) && throw("ВыроТдСная ΠΌΠ°Ρ‚Ρ€ΠΈΡ†Π°") Ξ”k > 1 && swap!(@view(A[k,k:end]), @view(A[k+Ξ”k-1,k:end])) for i ∈ k+1:size(A,1) t = A[i,k]/A[k,k] @. @views A[i,k:end] = A[i,k:end] - t * A[k,k:end] end end for i = 1:size(A,1) for j = i:size(A,2) if abs(A[i, j]) > epsilon push!(ans, j) break; end end end return length(ans) end function det_(a) ans = 1 epsilon = 1e-7 s = 1 c = copy(a) for k ∈ 1:size(c, 1) absval, Ξ”k = findmax(abs, @view(c[k:end,k])) Ξ”k > 1 && swap!(@view(c[k,k:end]), @view(c[k+Ξ”k-1,k:end])) if Ξ”k > 1 s*=-1 end for i ∈ k+1:size(c,1) t = c[i,k]/c[k,k] @. @views c[i,k:end] = c[i,k:end] - t * c[k,k:end] end end for i = 1:size(c, 1) ans*=c[i, i] end ans*s end function slau(A, b) countSwaps = 1 a = [A b] c = copy(a) eps = 0.000001 for i = 1:size(a, 1) iMax = i for j = i:size(a, 1) if abs(c[j, i]) > abs(c[iMax, i]) iMax = j end end if abs(c[iMax, i]) >= eps for k = 1:size(a, 2) swap_2!(c, i, iMax, k) end countSwaps = -countSwaps * (i != iMax ? 1 : -1) for j = i+1:size(a, 1) q = -c[j, i] / c[i, i] for k = size(a, 2):-1:i c[j, k] += q*c[i, k] if abs(c[j, k]) < eps c[j, k] = 0 end end end end end if countSwaps > 0 c * -1 end c[size(a, 1), size(a, 1)+1] /= c[size(a, 1), size(a, 1)] c[size(a, 1), size(a, 1)] = 1 v = [] for i = size(a, 1):-1:1 t = c[i, size(a, 1)+1] for j = i+1:size(a, 1) t-=c[j]*c[i,j] end c[size(a, 1), i] = t end c[size(a,1),1:size(a,1)] end function inv_(a) c = copy(a) for i = 1:size(c, 1) for j = i+1:size(c, 1) c[i,j], c[j,i] = c[j,i], c[i,j] end end c end function transform_to_low_steps!(A::AbstractMatrix; epsilon = 1e-7, degenerate_exeption = true) # @inbounds - Π·Π°ΠΌΠ΅Ρ‚Π½ΠΎΠ³ΠΎ ускорСния здСсь это Π½Π΅ Π΄Π°Ρ‘Ρ‚!!! for k ∈ size(A, 1):-1:1 absval, Ξ”k = findmax(abs, @view(A[k:end,k])) (degenerate_exeption && absval <= epsilon) && throw("ВыроТдСная ΠΌΠ°Ρ‚Ρ€ΠΈΡ†Π°") Ξ”k > 1 && swap!(@view(A[k,k:end]), @view(A[k+Ξ”k-1,k:end])) for i ∈ k-1:-1:1 t = A[i,k]/A[k,k] @. @views A[i,k:end] = A[i,k:end] - t * A[k,k:end] # макрос @. замСняСт всС "сквоныС Ρ‚ΠΎΡ‡ΠΊΠΈ" # макрос @views замСняСт ΠΌΠ½ΠΎΠ³ΠΎΠΊΡ€Π°Ρ‚Π½ΠΎΠ΅ ΠΏΡ€ΠΈΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ макроса @view end end return A end
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1.4956
3,636
# include("../../src/SFFM.jl") using LinearAlgebra, Plots, SFFM # # # # ## define the model(s) # include("exampleModelDef.jl") ## section 4.4: the sensitivity of the stationary distribution of X to rates r Tfun(Ξ³β‚‚) = [ -(γ₁ + Ξ³β‚‚) Ξ³β‚‚ γ₁ 0; Ξ²β‚‚ -(γ₁ + Ξ²β‚‚) 0 γ₁; β₁ 0 -(Ξ³β‚‚ + β₁) Ξ³β‚‚; 0 β₁ Ξ²β‚‚ -(Ξ²β‚‚ + Ξ²β‚‚); ] let c = 0 colours = [:green;:blue;:red] shapes = [:diamond,:x,:+] styles = [:solid,:dash,:dot] q = plot(layout = (1,2)) for sp in 1:2 q = plot!(windowsize = (600,250), subplot = sp) end for Ξ³β‚‚ in [11;16;22] c = c+1 Ttemp = Tfun(Ξ³β‚‚) tempModel = SFFM.Model( Ttemp, C, r, Bounds = approxModel.Bounds) println("created tempModel with upper bound x=", tempModel.Bounds[1,end]) ## mesh Ξ”temp = 0.4 Nodes = collect(approxBounds[1, 1]:Ξ”temp:approxBounds[1, 2]) Basis = "lagrange" nBases = 2 mesh = SFFM.DGMesh( tempModel, Nodes, nBases, Basis=Basis, ) # compute the marginal via DG All = SFFM.MakeAll( tempModel, mesh, approxType = "projection") Ξ¨ = SFFM.PsiFun( All.D) # the distribution of X when Y first returns to 0 ΞΎ = SFFM.MakeXi( All.B, Ξ¨) marginalX, p, K = SFFM.MakeLimitDistMatrices( All.B, All.D, All.R.RDict, Ξ¨, ΞΎ, mesh, tempModel, ) println("For Ξ³β‚‚ = ", Ξ³β‚‚, ", χ⁰ = ", sum(p), ", χ¹ = ", sum(marginalX)-sum(p), " and total prob is ", sum(marginalX), ".", ) tempDist = SFFM.Coeffs2Dist( tempModel, mesh, marginalX, SFFM.SFFMDensity, ) temp = zeros(SFFM.NBases(mesh),SFFM.NIntervals(mesh),2) temp[:,:,1] = tempDist.distribution[:,:,1]+tempDist.distribution[:,:,2] temp[:,:,2] = tempDist.distribution[:,:,3]+tempDist.distribution[:,:,4] q = plot!( tempDist.x, temp[:,:,1], subplot = 1, legend = false, color = colours[c], seriestype = :line, linestyle = styles[c], markershape = shapes[c], xlabel = "x", ) q = scatter!( [-0.2 + (c-1)*0.2], [sum(tempDist.pm)], subplot = 2, color = colours[c], label = :none, ) q = plot!( tempDist.x[:,1], temp[:,1,2], subplot = 2, color = colours[c], label = "Ξ³β‚‚: "*string(Ξ³β‚‚), linestyle = styles[c], markershape = shapes[c], ) q = plot!( tempDist.x[:,2:end], temp[:,2:end,2], subplot = 2, color = colours[c], label = :none, markershape = shapes[c], linestyle = styles[c], xlabel = "x", ) println("") end titles = ["Phases 11 + 10" "Phases 01 + 00"] for sp in 1:2 q = plot!( subplot = sp, xlims = (-0.5,8), title = titles[sp], ylabel = "Density / Probability", grid = false, ) end display(q) # savefig(pwd()*"/examples/paperNumerics/dump/sensitivityMarginalStationaryDistX.png") end
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1.677794
2,067
using Test using StableRNGs using ComplexMixtures, PDBTools using Random const CM = ComplexMixtures include("./namd.jl") include("./namd_chemfiles.jl") include("./gromacs.jl") include("./pdb.jl") include("./merge.jl")
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2.619048
84
using Checkpointing struct ReverseDiffADTool <: AbstractADTool end struct ZygoteADTool <: AbstractADTool end struct DiffractorADTool <: AbstractADTool end struct EnzymeADTool <: AbstractADTool end struct ForwardDiffADTool <: AbstractADTool end function Checkpointing.jacobian(tobedifferentiated, F_H, ::ReverseDiffADTool) return ReverseDiff.jacobian(tobedifferentiated, F_H) end function Checkpointing.jacobian(tobedifferentiated, F_H, ::ZygoteADTool) return Zygote.jacobian(tobedifferentiated, F_H)[1] end function Checkpointing.jacobian(tobedifferentiated, F_H, ::ForwardDiffADTool) return ForwardDiff.jacobian(tobedifferentiated, F_H) end function Checkpointing.jacobian(tobedifferentiated, F_H, ::EnzymeADTool) function f(x,res) y = tobedifferentiated(x) copyto!(res,y) return nothing end J = zeros(eltype(F_H), length(F_H), length(F_H)) x = zeros(eltype(F_H), length(F_H)) dx = zeros(eltype(F_H), length(F_H)) y = zeros(eltype(F_H), length(F_H)) dy = zeros(eltype(F_H), length(F_H)) for i in 1:length(F_H) copyto!(x, F_H) fill!(dx, 0) fill!(y, 0) dy[i] = 1.0 autodiff(f, Duplicated(x,dx), Duplicated(y, dy)) J[i,:] = dx[:] end return J end function Checkpointing.jacobian(tobedifferentiated, F_H, ::DiffractorADTool) J = zeros(eltype(F_H), length(F_H), length(F_H)) for i in 1:length(F_H) grad = Diffractor.gradient(x -> tobedifferentiated(x)[i], F_H) J[i,:] = grad[:][1] end return J end
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2.23099
697
function registersymboluse(sym::Symbol, ctx::LintContext) if sym == :end # TODO: handle this special case elsewhere return Any end lookupresult = nothing let lu = lookup(ctx, sym) if lu !== nothing lookupresult = registeruse!(lu) end end if lookupresult == nothing if (!pragmaexists("Ignore use of undeclared variable $sym", ctx.current) && ctx.quoteLvl == 0) msg(ctx, :E321, sym, "use of undeclared symbol") end Any else return lookupresult.typeactual end end function lintglobal(ex::Expr, ctx::LintContext) for sym in ex.args if isa(sym, Symbol) globalset!(ctx.current, sym, VarInfo(location(ctx), Any)) elseif expand_assignment(sym) !== nothing ea = expand_assignment(sym) lintassignment(Expr(:(=), ea[1], ea[2]), ctx; isGlobal=true) else msg(ctx, :E134, sym, "unknown global pattern") end end end function lintlocal(ex::Expr, ctx::LintContext) for sube in ex.args if isa(sube, Symbol) # temporarily set to Union{} until rescued later? this is a safer # choice for now. set!(ctx.current, sube, VarInfo(location(ctx), Any)) elseif isexpr(sube, :(=)) lintassignment(sube, ctx; islocal = true) elseif isexpr(sube, :(::)) sym = sube.args[1] @checkisa(ctx, sym, Symbol) set!(ctx.current, sym, VarInfo(location(ctx), parsetype(ctx, sube.args[2]))) else msg(ctx, :E135, sube, "local declaration not understood by Lint") end end end function resolveLHSsymbol(ex, syms::Array{Any,1}, ctx::LintContext, assertions::Dict{Symbol,Any}) if isa(ex, Symbol) push!(syms, ex) elseif isa(ex, Expr) if ex.head == :(::) if isa(ex.args[1], Symbol) assertions[ex.args[1]]=ex.args[2] end resolveLHSsymbol(ex.args[1], syms, ctx, assertions) elseif ex.head == :tuple for s in ex.args resolveLHSsymbol(s, syms, ctx, assertions) end elseif ex.head == :(.) || # a.b = something ex.head == :ref || # a[b] = something ex.head == :($) # :($(esc(name)) = something) push!(syms, ex) lintexpr(ex, ctx) return else msg(ctx, :I171, ex, "LHS in assignment not understood by Lint") end else msg(ctx, :I171, ex, "LHS in assignment not understood by Lint") end end function lintassignment(ex::Expr, ctx::LintContext; islocal = false, isConst=false, isGlobal=false, isForLoop=false) # is it a local decl & assignment? lhs = ex.args[1] # lower curly rhstype = Any if isexpr(lhs, :curly) isConst = true lhs = withincurly(lhs) rhstype = Type # TODO: lint the RHS too else lintexpr(ex.args[2], ctx) end syms = Any[] assertions = Dict{Symbol, Any}() resolveLHSsymbol(lhs, syms, ctx, assertions) tuplelen = length(syms) lhsIsTuple = Meta.isexpr(lhs, :tuple) if rhstype == Any rhstype = guesstype(ex.args[2], ctx) end if rhstype == Union{} msg(ctx, :E539, lhs, "assigning an error to a variable") elseif isForLoop && isa(rhstype, Type) if rhstype <: Number msg(ctx, :I672, "iteration works for a number but it may be a typo") end rhstype = StaticTypeAnalysis.eltype(rhstype) if lhsIsTuple computedlength = StaticTypeAnalysis.length(rhstype) if (computedlength !== nothing && computedlength β‰  tuplelen) msg(ctx, :I474, rhstype, "iteration generates tuples, " * "$tuplelen of $(computedlength) variables used") end end elseif isa(rhstype, Type) && lhsIsTuple computedlength = StaticTypeAnalysis.length(rhstype) if computedlength !== nothing if computedlength < tuplelen msg(ctx, :E418, rhstype, "RHS is a tuple, $tuplelen of " * "$(computedlength) variables used") elseif computedlength > tuplelen msg(ctx, :W546, rhstype, string( "implicitly discarding values, $tuplelen of ", computedlength, " used")) end end end for (symidx, s) in enumerate(syms) if !isa(s, Symbol) # a.b or a[b] if isexpr(s, [:(.), :ref]) containertype = guesstype(s.args[1], ctx) if isa(unwrap_unionall(containertype), DataType) && !isabstract(containertype) && !unwrap_unionall(containertype).mutable msg(ctx, :E525, s.args[1], "is of an immutable type $(containertype)") end end continue end if string(s) == ctx.scope && !islocal msg(ctx, :W355, ctx.scope, "conflicts with function name") end if s == :call msg(ctx, :E332, s, "should not be used as a variable name") end # +=, -=, *=, etc. if ex.head != :(=) registersymboluse(s, ctx) end vi = VarInfo(location(ctx)) # @lintpragma("Ignore incompatible type comparison") if isa(rhstype, Type) && !lhsIsTuple rhst = rhstype elseif isa(rhstype, Type) rhst = StaticTypeAnalysis.typeof_nth(rhstype, symidx) else rhst = Any end try if haskey(assertions, s) dt = parsetype(ctx, assertions[s]) vi.typeactual = dt # TODO: check that rhst is convertible to dt elseif rhst != Any && !isForLoop vi.typeactual = rhst end catch er msg(ctx, :W251, ex, "$(er); Symbol=$(s); rhstype=$(rhst)") end if isGlobal || isConst || istoplevel(ctx.current) globalset!(ctx.current, s, vi) # TODO: guess type and use that type information elseif islocal localset!(ctx.current, s, vi) else set!(ctx.current, s, vi) end end end
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1.960049
3,254
using DynamicalSystemsBase using DelayEmbeddings using Test using DelimitedFiles println("\nTesting mdop_embedding.jl...") @testset "Nichkawde method MDOP" begin # For comparison reasons using Travis CI we carry out the integration on a UNIX # OS and save the resulting time series # # solve Mackey-Glass-Delay Diff.Eq. as in the Paper # function mackey_glass(du,u,h,p,t) # beta,n,gamma,tau = p # hist = h(p, t-tau)[1] # du[1] = (beta*hist)/(1+hist^n) - gamma * u[1] # end # # set parameters # h(p,t) = 0 # tau_d = 44 # n = 10 # Ξ² = 0.2 # Ξ³ = 0.1 # Ξ΄t = 0.5 # p = (Ξ²,n,Ξ³,tau_d) # # # time span # tspan = (0.0, 12000.0) # u0 = [1.0] # # prob = DDEProblem(mackey_glass,u0,h,tspan,p; constant_lags=tau_d) # alg = MethodOfSteps(Tsit5()) # sol = solve(prob,alg; adaptive=false, dt=Ξ΄t) # # s = [u[1] for u in sol.u] # s = s[4001:end] s = readdlm(joinpath(tsfolder, "1.csv")) s = vec(s) Y = Dataset(s) theiler = 57 @testset "beta statistic" begin ## Test beta_statistic (core algorithm of mdop_embedding) taus = 0:100 Ξ² = @inferred DelayEmbeddings.beta_statistic(Y, s, taus, theiler) maxi, max_idx = findmax(Ξ²) @test maxi>4.1 @test taus[max_idx]>=50 # # display results as in Fig. 3 of the paper # using Plots # plot(taus, Ξ², linewidth = 3, label = "1st embedding cycle") # plot!(title = "Ξ²-statistic for Mackey Glass System as in Fig. 3 in the Paper") # xlabel!("Ο„") # ylabel!("Ξ²-Statistic") # # display results as in Fig. 3 of the paper # using PyPlot # pygui(true) # figure() # plot(taus, Ξ², linewidth = 3, label = "1st embedding cycle") # scatter(max_idx-1,maxi, c="red") # title("Ξ²-statistic for Mackey Glass System as in Fig. 3 in the Paper") # xlabel("Ο„") # ylabel("Ξ²-Statistic") # xticks(0:10:100) # grid() # test different tau range taus2 = 1:4:100 Ξ²2 = @inferred beta_statistic(Y, s, taus2, theiler) maxi2, max_idx2 = findmax(Ξ²2) @test maxi2>4.1 @test taus2[max_idx2]>=40 # # display results as in Fig. 3 of the paper # using Plots # plot(taus2, Ξ²2, linewidth = 3, label = "1st embedding cycle") # plot!(title = "coarse Ξ²-statistic for Mackey Glass System as in Fig. 3 in the Paper") # xlabel!("Ο„") # ylabel!("Ξ²-Statistic") end @testset "mdop_embedding univariate" begin taus = 0:100 Ξ² = DelayEmbeddings.beta_statistic(Y, s, taus, theiler) Y, Ο„_vals, ts_vals, FNNs, betas = mdop_embedding(s; Ο„s = taus, w = theiler) # for different Ο„s taus2 = 1:4:100 Y2, Ο„_vals2, ts_vals2, FNNs2, betas2 = mdop_embedding(s; Ο„s = taus2, w = theiler) @test round.(Ξ², digits=6) == round.(betas[:,1], digits=6) @test size(Y,2) == 5 @test size(Y,2) == size(Y2,2) @test sum(findall(x -> x != 1, ts_vals))==0 @test sum(abs.(diff(Ο„_vals)) .< 10) == 0 # # display results as in Fig. 3 of the paper # using Plots # # Figure as in Fig.3 in the paper # plot(taus, betas[:,1], linewidth = 3, label = "embedding cycle 1") # plot!([taus[Ο„_vals[2]+1]],[betas[Ο„_vals[2]+1,1]], seriestype = :scatter, color="red", label = "") # for i = 2:size(betas,2) # plot!(taus, betas[:,i], linewidth = 3, label = "embedding cycle $i") # plot!([taus[Ο„_vals[i+1]+1]],[betas[Ο„_vals[i+1]+1,i]], seriestype = :scatter, color="red", label = "") # end # plot!(title = "Ξ²-statistic's for each embedding cycle of Mackey Glass System as in Fig. 3") # xlabel!("delay Ο„") # ylabel!("log10 Ξ²(Ο„)") # # # Figure of coarse grained analysis # taus22 = zeros(length(taus2)) # [taus22[i]=taus2[i] for i = 1: length(taus2)] # plot(taus22, betas2[:,1], linewidth = 3, label = "embedding cycle 1") # trueind = findall(x -> x == Ο„_vals2[2], taus22) # plot!(taus22[trueind],[betas2[trueind,1]], seriestype = :scatter, color="red", label = "") # for i = 2:size(betas2,2) # plot!(taus22, betas2[:,i], linewidth = 3, label = "embedding cycle $i") # trueind = findall(x -> x == Ο„_vals2[i+1], taus22) # plot!(taus22[trueind],[betas2[trueind,i]], seriestype = :scatter, color="red", label = "") # end # plot!(title = "Ξ²-statistic's for each embedding cycle of Mackey Glass System as in Fig. 3") # xlabel!("delay Ο„") # ylabel!("log10 Ξ²(Ο„)") end @testset "estimate Ο„ max (Roessler)" begin # For comparison reasons using Travis CI we carry out the integration on a UNIX # OS and save the resulting time series # roe = Systems.roessler([1.0, 0, 0]; a=0.2, b=0.2, c=5.7) # sroe = trajectory(roe, 500; dt = 0.05, Ttr = 100.0) # writedlm("2.csv", sroe) sroe = readdlm(joinpath(tsfolder, "2.csv")) tws = 25:32 Ο„_m, L = @inferred mdop_maximum_delay(sroe[:, 2], tws) @test Ο„_m == 26 Ο„_m, Ls = @inferred mdop_maximum_delay(Dataset(sroe[:, 1:2]), tws) @test Ο„_m == 26 # # reproduce Fig.2 of the paper # tws = 1:2:101 # Ο„_m, L = DelayEmbeddings.mdop_maximum_delay(s[:,2]; tw = tws, samplesize=1.0) # # using Plots # twss = zeros(length(tws)) # [twss[cnt] = i for (cnt,i) in enumerate(tws)] # plot(twss,L, label="") # xlabel!("time window") # ylabel!("L") # tw=1:4:200 # tau_max, LL = DelayEmbeddings.mdop_maximum_delay(sroe; tw=tw) # # using Plots # gui() # twss = zeros(length(tw)) # [twss[cnt] = i for (cnt,i) in enumerate(tw)] # plot(twss,LL, label="") # xlabel!("time window") # ylabel!("L") end @testset "mdop_embedding multivariate" begin # For comparison reasons using Travis CI we carry out the integration on a UNIX # OS and save the resulting time series # roe = Systems.roessler([1.0, 0, 0]; a=0.2, b=0.2, c=5.7) # sroe = trajectory(roe, 500; dt = 0.05, Ttr = 100.0) # writedlm("2.csv", sroe) sroe = readdlm(joinpath(tsfolder, "2.csv")) tra = Dataset(sroe) w1 = estimate_delay(sroe[:,1], "mi_min") w2 = estimate_delay(sroe[:,2], "mi_min") theiler = w2 taus = 0:26 mc = 10 Y, Ο„_vals, ts_vals, FNNs, betas = mdop_embedding(sroe[:,1]; Ο„s = taus, w = theiler, max_num_of_cycles = mc) max_idx, ts_number = @inferred DelayEmbeddings.choose_optimal_tau2(betas) @test ts_number == 1 @test taus[max_idx] == Ο„_vals[2] Y2, Ο„_vals2, ts_vals2, FNNs2, betas2 = mdop_embedding(tra; Ο„s = taus, w = theiler, max_num_of_cycles = mc) ttra = standardize(tra) b1 = DelayEmbeddings.beta_statistic(Dataset(ttra[:,ts_vals2[1]]), ttra[:,1], taus, theiler) b2 = DelayEmbeddings.beta_statistic(Dataset(ttra[:,ts_vals2[1]]), ttra[:,2], taus, theiler) b3 = DelayEmbeddings.beta_statistic(Dataset(ttra[:,ts_vals2[1]]), ttra[:,3], taus, theiler) @test betas2[1][:,1] == b1 @test betas2[1][:,2] == b2 @test betas2[1][:,3] == b3 @test size(Y2,2) == 3 @test Ο„_vals2[1] == Ο„_vals2[2] == 0 @test Ο„_vals2[3] == maximum(taus) @test ts_vals2[2] == ts_vals2[3] == 2 @test ts_vals2[1] == 3 end end
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function newbound_rounding(U,V,bmatchval) U_sortperm = sortcolsperm(U,true) V_sortperm = sortcolsperm(V,true) nU = size(U,1) nV = size(V,1) r = size(U,2) @assert r==size(V,2) d = min(size(U_sortperm,1),size(V_sortperm,1)) U_weights = sort(U,1,rev=true) V_weights = sort(V,1,rev=true) # U_weights = U_weights[1:d,:] # V_weights = V_weights[1:d,:] # # U_sortperm = U_sortperm[1:d,:] # V_sortperm = V_sortperm[1:d,:] P = spzeros(nU,nV) allrecoveries = zeros(size(U,2)) for i = 1:size(U,2) ui = U_weights[:,i] vi = V_weights[:,i] lastid_ui = findfirst(ui.<0) lastid_vi = findfirst(vi.<0) if lastid_ui == 0 && lastid_vi == 0 lastidpos = d lneg = -1 elseif lastid_vi == 0 lastidpos = min(d,lastid_ui-1) lneg = -1 elseif lastid_ui == 0 lastidpos = min(d,lastid_vi-1) lneg = -1 else lastidpos = min(lastid_ui,lastid_vi)-1 lneg = min(nU-lastid_ui,nV-lastid_vi) end ei1 = U_sortperm[1:lastidpos,i] ej1 = V_sortperm[1:lastidpos,i] ei2 = U_sortperm[nU-lneg:nU,i] ej2 = V_sortperm[nV-lneg:nV,i] ei = vcat(ei1,ei2) ej = vcat(ej1,ej2) # allrecoveries[i] = evaluate_erdosreyni_experiment(A,B,ei,ej) P = P + sparse(ei,ej,1,nU,nV) #+ generate_b_match_overlapping(ei,ej,2,nU,nV) # with bmatching: # bmatchval = 20 for bm = 1:bmatchval if !isempty(ej) popfirst!(ej) P = P + sparse(ei[1:end-bm],ej,1,nU,nV) end end end @show nnz(P)/prod(size(P)) return P end function newbound_rounding_lowrank_evaluation_relaxed(U,V,bmatchval) # U = Float32.(U) # V = Float32.(V) U_sortperm = sortcolsperm(U,true) V_sortperm = sortcolsperm(V,true) nU = size(U,1) nV = size(V,1) r = size(U,2) @assert r == size(V,2) d = min(size(U_sortperm,1),size(V_sortperm,1)) U_weights = sort(U,dims=1,rev=true) V_weights = sort(V,dims=1,rev=true) # U_weights = U_weights[1:d,:] # V_weights = V_weights[1:d,:] # # U_sortperm = U_sortperm[1:d,:] # V_sortperm = V_sortperm[1:d,:] # P = spzeros(nU,nV) U1 = [] V1 = [] allrecoveries = zeros(size(U,2)) for i = 1:size(U,2) ui = U_weights[:,i] vi = V_weights[:,i] lastid_ui = findfirst(ui.<0) lastid_vi = findfirst(vi.<0) lastid_ui = (lastid_ui === nothing) ? 0 : lastid_ui lastid_vi = (lastid_vi === nothing) ? 0 : lastid_vi if lastid_ui == 0 && lastid_vi == 0 lastidpos = d lneg = -1 elseif lastid_vi == 0 lastidpos = min(d,lastid_ui-1) lneg = -1 elseif lastid_ui == 0 lastidpos = min(d,lastid_vi-1) lneg = -1 else lastidpos = min(lastid_ui,lastid_vi)-1 lneg = min(nU-lastid_ui,nV-lastid_vi) end ei1 = U_sortperm[1:lastidpos,i] ej1 = V_sortperm[1:lastidpos,i] ei2 = U_sortperm[nU-lneg:nU,i] ej2 = V_sortperm[nV-lneg:nV,i] ei = vcat(ei1,ei2) ej = vcat(ej1,ej2) # allrecoveries[i] = evaluate_erdosreyni_experiment(A,B,ei,ej) # P = P + sparse(ei,ej,1,nU,nV) # P = P + sparse(ei,ej,1,nU,nV) #+ generate_b_match_overlapping(ei,ej,2,nU,nV) # with bmatching: append!(U1,ei) append!(V1,ej) # bmatchval = 6 #println("bmatchval is $bmatchval") for bm = 1:bmatchval if !isempty(ej) popfirst!(ej) # P = P + sparse(ei[1:end-bm],ej,1,nU,nV) append!(U1,ei[1:end-bm]) append!(V1,ej) end end end all_matches = [U1 V1] unique_matches = unique(all_matches,dims=1) U1unique = unique_matches[:,1] V1unique = unique_matches[:,2] uo = U[U1unique,:] vo = V[V1unique,:] weights = vec(sum(uo.*vo,dims=2)) X = sparse(U1unique,V1unique,weights,nU,nV) return X end
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@testset "NMF" begin ## A simple NMF implementation, which is useful to test mark/wait function step(X, W, H) # H update H = (H .* (W' * (X ./ (W * H))) ./ (sum(W; dims=1))') # W update W = (W .* ((X ./ (W * H)) * (H')) ./ (sum(H; dims=2)')) # error estimate X - W * H end for scale in (1:5:50) ncol = 2001 nrow = 1002*scale nfeatures = 12 X = rand(Float32, nrow, ncol) W = rand(Float32, nrow, nfeatures) H = rand(Float32, nfeatures, ncol) cpu_res = step(X, W, H) RX = ROCArray(X) RW = ROCArray(W) RH = ROCArray(H) gpu_res = step(RX, RW, RH) @test Array(gpu_res) β‰ˆ cpu_res end end
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N = 6 ug = SimpleWeightedGraph(N) add_edge!(ug, 1, 2, 2); add_edge!(ug, 1, 3, 2); add_edge!(ug, 2, 3, 1) add_edge!(ug, 3, 4, 5); add_edge!(ug, 2, 5, 2); add_edge!(ug, 3, 6, 2) dg = SimpleWeightedDiGraph(N) add_edge!(dg, 1, 3, 2); add_edge!(dg, 2, 3, 2); add_edge!(dg, 1, 6, 1) add_edge!(dg, 2, 5, -2); add_edge!(dg, 3, 4, -2); add_edge!(dg, 3, 5, -1) el_ug = Vector{Int64}[[2, 3], [1, 3, 5], [1, 2, 4, 6], [3], [2], [3]] el_dg = Vector{Int64}[[3, 6], [3, 5], [4, 5], [], [], []] @testset "weightedgraph" begin fg = FeaturedGraph(ug) @test adjacency_list(fg) == el_ug fg = FeaturedGraph(dg) @test adjacency_list(fg) == el_dg end
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using OrdinaryDiffEq, DiffEqBase, DiffEqCallbacks, Test using Random Random.seed!(213) CACHE_TEST_ALGS = [Euler(),Midpoint(),RK4(),SSPRK22(),SSPRK33(), CarpenterKennedy2N54(), HSLDDRK64(), CFRLDDRK64(), TSLDDRK74(), CKLLSRK43_2(), ParsaniKetchesonDeconinck3S32(), BS3(),BS5(),DP5(),DP8(),Feagin10(),Feagin12(),Feagin14(),TanYam7(), Tsit5(),TsitPap8(),Vern6(),Vern7(),Vern8(),Vern9(),OwrenZen3(),OwrenZen4(),OwrenZen5(), AutoTsit5(Rosenbrock23())] broken_CACHE_TEST_ALGS = [ORK256(), DGLDDRK73_C(),KenCarp4()] using InteractiveUtils NON_IMPLICIT_ALGS = filter((x)->isconcretetype(x) && !OrdinaryDiffEq.isimplicit(x()),union(subtypes(OrdinaryDiffEq.OrdinaryDiffEqAlgorithm),subtypes(OrdinaryDiffEq.OrdinaryDiffEqAdaptiveAlgorithm))) f = function (du,u,p,t) for i in 1:length(u) du[i] = (0.3/length(u))*u[i] end end condition = function (u,t,integrator) 1-maximum(u) end affect! = function (integrator) u = integrator.u resize!(integrator,length(u)+1) maxidx = findmax(u)[2] Θ = rand()/5 + 0.25 u[maxidx] = Θ u[end] = 1-Θ nothing end callback = ContinuousCallback(condition,affect!) u0 = [0.2] tspan = (0.0,10.0) prob = ODEProblem(f,u0,tspan) println("Check for stochastic errors") for i in 1:10 @test_nowarn sol = solve(prob,Tsit5(),callback=callback) end println("Check some other integrators") sol = solve(prob,Rosenbrock23(chunk_size=1),callback=callback,dt=1/2) @test length(sol[end]) > 1 sol = solve(prob,Rosenbrock32(chunk_size=1),callback=callback,dt=1/2) @test length(sol[end]) > 1 @test_broken sol = solve(prob,KenCarp4(chunk_size=1),callback=callback,dt=1/2) @test length(sol[end]) > 1 @test_broken sol = solve(prob,TRBDF2(chunk_size=1),callback=callback,dt=1/2) @test length(sol[end]) > 1 for alg in CACHE_TEST_ALGS @show alg sol = solve(prob,alg,callback=callback,dt=1/2) @test length(sol[end]) > 1 end for alg in broken_CACHE_TEST_ALGS @show alg @test_broken length(solve(prob,alg,callback=callback,dt=1/2)[end]) > 1 end sol = solve(prob,Rodas4(chunk_size=1),callback=callback,dt=1/2) @test length(sol[end]) > 1 sol = solve(prob,Rodas5(chunk_size=1),callback=callback,dt=1/2) @test length(sol[end]) > 1 # Force switching function f2(du,u,p,t) @assert length(u) == length(du) "length(u) = $(length(u)), length(du) = $(length(du)) at time $(t)" for i in 1:length(u) if t > 10 du[i] = -10000*u[i] else du[i] = 0.3*u[i] end end return du end function condition2(u, t, integrator) 1-maximum(u) end function affect2!(integrator) u = integrator.u resize!(integrator,length(u)+1) maxidx = findmax(u)[2] Θ = rand() u[maxidx] = Θ u[end] = 1-Θ nothing end callback = ContinuousCallback(condition2,affect2!) u0 = [0.2] tspan = (0.0,20.0) prob = ODEProblem(f2,u0,tspan) sol = solve(prob, AutoTsit5(Rosenbrock23()), callback=callback) @test length(sol[end]) > 1
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2.238132
1,285
using Printf println("hello world :-) !")
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3.071429
14
function POMDPModelTools.gbmdp_handle_terminal(pomdp::Union{SubHuntPOMDP,DSubHuntPOMDP}, updater::Updater, b::ParticleCollection, s::SubState, a::Int, rng::AbstractRNG) @assert isterminal(pomdp, s) return ParticleCollection([s,s]) end
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2.53125
96
""" Shuffles the residues in each column, keeping fixed the gap positions """ function shuffle_residues_columnwise!(aln::Matrix{Residue}) nseq, nres = size(aln) for i in 1:nres @inbounds for j in 1:nseq a = aln[j,i] if a != GAP k = rand(1:nseq) b = aln[k,i] while b == GAP k = rand(1:nseq) b = aln[k,i] end aln[k,i] = a aln[j,i] = b end end end aln end # 0.00084 seconds faster than an implemetation similar to shuffle_residues_columnwise (PF00085) """ Shuffles the residues in each sequence, keeping fixed the gap positions """ function shuffle_residues_sequencewise!(aln::Matrix{Residue}) taln = transpose(aln) shuffle_residues_columnwise!(taln) transpose!(aln, taln) end """ Shuffles the residues in each sequence """ function shuffle_sequencewise!(aln::Matrix{Residue}) nseq, nres = size(aln) for i in 1:nseq @inbounds for j in 1:nres k = rand(1:nres) aln[i,k], aln[i,j] = aln[i,j], aln[i,k] end end aln end """ Shuffles the residues in each column """ function shuffle_columnwise!(aln::Matrix{Residue}) nseq, nres = size(aln) for i in 1:nres @inbounds for j in 1:nseq k = rand(1:nseq) aln[k,i], aln[j,i] = aln[j,i], aln[k,i] end end aln end for fun in [ :shuffle_columnwise!, :shuffle_sequencewise!, :shuffle_residues_sequencewise!, :shuffle_residues_columnwise! ] @eval $(fun)(aln::AbstractMultipleSequenceAlignment) = $(fun)(aln.msa) end
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1.945602
864
# Use map_func to avoid float precision differences between the same vertex function _push_cell_vertex!(vert,cell_verts, used_vertices,vertices,nextvert, map_func) token = ht_keyindex2!(used_vertices, vert) if token > 0 # reuse dofs reuse_vert = used_vertices.vals[token] push!(cell_verts, reuse_vert) else # token <= 0, use new vertex Base._setindex!(used_vertices, nextvert, vert, -token) push!(cell_verts, nextvert) push!(vertices, map_func(vert)) nextvert += 1 end return nextvert end function _generate_2d_hex_centroids!(centroids::Vector{Tensors.Vec{2,T}},LL, n_centroid_rows, n_centroid_cols, hex_width, hex_heigth) where {T} x_coord = LL[1]; y_coord = LL[2] x_lim = n_centroid_cols*hex_width y_lim = n_centroid_rows*hex_heigth ss = 1 for j in 1:(2*n_centroid_rows) for i in 1:(n_centroid_cols+1) centroid = Tensors.Vec{2,T}((x_coord,y_coord)) push!(centroids, centroid) (x_coord + hex_width) > x_lim ? break : x_coord = x_coord + hex_width end (ss > 0) ? x_coord = LL[1] + hex_width/2 : x_coord = LL[1] ss = ss*(-1) (y_coord + hex_heigth/4) > y_lim ? break : y_coord = y_coord + 3/4*hex_heigth; end return centroids end
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2.22242
562
module TestStoreApi using ..MyPetStore using Swagger using Test using Dates function test(uri) println("testing StoreApi...") client = Swagger.Client(uri) api = StoreApi(client) println(" - getInventory") inventory = getInventory(api) @test isa(inventory, Dict{String,Int32}) @test !isempty(inventory) println(" - placeOrder") @test_throws Swagger.ValidationException Order(; id=10, petId=10, quantity=2, shipDate=DateTime(2017, 03, 12), status="invalid_status", complete=false) order = Order(; id=10, petId=10, quantity=2, shipDate=DateTime(2017, 03, 12), status="placed", complete=false) neworder = placeOrder(api, order) @test neworder.id == 10 println(" - getOrderById") @test_throws Swagger.ValidationException getOrderById(api, 0) order = getOrderById(api, 10) @test isa(order, Order) @test order.id == 10 println(" - deleteOrder") @test deleteOrder(api, 10) == nothing nothing end end # module TestStoreApi
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#using Laplacians function buildAPI(fileName, mod) noDocString = "No documentation found." v = names(mod) fh = open(fileName,"w") x = 0 for i in 1:length(v) sym = v[i] x = eval(mod,sym) println(string(x)) println(fh, "### ", string(sym)) #= if (isa(x,Function)) println(string(functionloc(x))) end =# docmd = @doc(x) docstr = stringmime("text/plain", docmd ) if (length(docstr) < 23) || (docstr[1:23] != noDocString) println(fh, docstr) else println("no docs for : ", sym) end extraInfo(fh, x) println(fh, "\n") end close(fh) end function extraInfo(fh, x) if isa(x,Function) mt = methods(x) println(fh,"\n```julia") loc = " " firstit = true for meth in mt str = string(meth) ind = rsearchindex(str," at ") println(fh, str[1:(ind-1)]) if firstit loc = str[ind:end] firstit = false end end println(fh,"```\n") println(fh, loc) elseif isa(x,DataType) str = Docs.typesummary(x) writemime(fh, "text/plain", str) end end
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1.813464
713
using Test using QuantumLattices.Mathematics.VectorSpaces using QuantumLattices.Mathematics.Combinatorics: Combinations using QuantumLattices.Interfaces: dimension, βŠ•, rank, dims, inds @testset "SimpleVectorSpace" begin id1, id2, id3 = (1, 1), (1, 2), (1, 3) vs = SimpleVectorSpace{'T'}(id1, id2) @test vs == deepcopy(vs) @test isequal(vs, deepcopy(vs)) @test vs|>size == (2,) @test vs|>dimension == 2 @test vs|>collect == [id1, id2] @test (vs[1] == id1) && (vs[2] == id2) @test (searchsortedfirst(vs, id1) == 1) && (searchsortedfirst(vs, id2) == 2) @test (findfirst(id1, vs) == 1) && (findfirst(id2, vs) == 2) @test findfirst((id1, id2), vs) == (1, 2) @test (id1 ∈ vs) && (id2 ∈ vs) && (id3 βˆ‰ vs) @test HasTable(typeof(vs)) == HasTable(true) @test TableSorted(typeof(vs)) == TableSorted(true) @test IsMultiIndexable(typeof(vs)) == IsMultiIndexable(false) @test vs == id1 βŠ• id2 @test vs βŠ• id3 == id1 βŠ• id2 βŠ• id3 @test id3 βŠ• vs == id3 βŠ• id1 βŠ• id2 @test (id2 βŠ• id3) βŠ• vs == id2 βŠ• id3 βŠ• id1 βŠ• id2 vs = SimpleVectorSpace{'F'}(id1, id2) @test vs == deepcopy(vs) @test isequal(vs, deepcopy(vs)) @test vs|>size == (2,) @test vs|>dimension == 2 @test vs|>collect == [id1, id2] @test (vs[1] == id1) && (vs[2] == id2) @test (searchsortedfirst(vs, id1) == 1) && (searchsortedfirst(vs, id2) == 2) @test (findfirst(id1, vs) == 1) && (findfirst(id2, vs) == 2) @test findfirst((id1, id2), vs) == (1, 2) @test (id1 ∈ vs) && (id2 ∈ vs) && (id3 βˆ‰ vs) @test HasTable(typeof(vs)) == HasTable(true) @test TableSorted(typeof(vs)) == TableSorted(false) @test IsMultiIndexable(typeof(vs)) == IsMultiIndexable(false) @test vs == id1 βŠ• id2 @test vs βŠ• id3 == id1 βŠ• id2 βŠ• id3 @test id3 βŠ• vs == id3 βŠ• id1 βŠ• id2 @test (id2 βŠ• id3) βŠ• vs == id2 βŠ• id3 βŠ• id1 βŠ• id2 end @testset "SimpleIndices" begin foi = SimpleIndices{'F'}(2, 2, 2) @test HasTable(typeof(foi)) == HasTable(false) @test IsMultiIndexable(typeof(foi)) == IsMultiIndexable(true) @test MultiIndexOrderStyle(typeof(foi)) == MultiIndexOrderStyle('F') @test dimension(foi) == 8 @test dims(foi) == (2, 2, 2) @test rank(typeof(foi)) == 3 @test inds((1, 1, 1), foi) == (1, 1, 1) @test Tuple((1, 1, 1), foi) == (1, 1, 1) @test foi|>collect == [(1, 1, 1), (2, 1, 1), (1, 2, 1), (2, 2, 1), (1, 1, 2), (2, 1, 2), (1, 2, 2), (2, 2, 2)] @test ((1, 1, 1) ∈ foi) && ((1, 2, 3) βˆ‰ foi) for (i, finds) in enumerate(foi) @test findfirst(finds, foi) == i @test searchsortedfirst(foi, foi[i]) == i end coi = SimpleIndices{'C'}(2, 2, 2) @test HasTable(typeof(coi)) == HasTable(false) @test IsMultiIndexable(typeof(coi)) == IsMultiIndexable(true) @test MultiIndexOrderStyle(typeof(coi)) == MultiIndexOrderStyle('C') @test dimension(coi) == 8 @test dims(coi) == (2, 2, 2) @test rank(typeof(coi)) == 3 @test inds((1, 1, 1), coi) == (1, 1, 1) @test Tuple((1, 1, 1), coi) == (1, 1, 1) @test ((1, 1, 1) ∈ coi) && ((1, 2, 3) βˆ‰ coi) @test coi|>collect == [(1, 1, 1), (1, 1, 2), (1, 2, 1), (1, 2, 2), (2, 1, 1), (2, 1, 2), (2, 2, 1), (2, 2, 2)] for (i, cinds) in enumerate(coi) @test findfirst(cinds, coi) == i @test searchsortedfirst(coi, coi[i]) == i end end @testset "TabledIndices" begin dims = (2, 2) table = [(1, 1), (1, 2), (2, 1), (2, 2)] toi = TabledIndices{'T'}(dims, table) @test HasTable(typeof(toi)) == HasTable(true) @test TableSorted(typeof(toi)) == TableSorted(true) @test toi == TabledIndices{2}(DulPermutations, 2) @test dimension(toi) == 4 @test toi|>collect == table @test ((1, 1) ∈ toi) && ((1, 3) βˆ‰ toi) for i = 1:length(toi) @test searchsortedfirst(toi, toi[i]) == i end table = [(1, 2), (2, 1), (2, 2), (1, 1)] toi = TabledIndices{'F'}(dims, table) @test HasTable(typeof(toi)) == HasTable(true) @test TableSorted(typeof(toi)) == TableSorted(false) @test dimension(toi) == 4 @test toi|>collect == table @test ((1, 1) ∈ toi) && ((1, 3) βˆ‰ toi) for i = 1:length(toi) @test searchsortedfirst(toi, toi[i]) == i end end struct VSZNamedVectorSpace{NS, BS<:Tuple, VS<:Tuple{Vararg{Vector}}} <: NamedVectorSpace{:zip, NS, BS, VS} contents::VS end @generated function VSZNamedVectorSpace{NS}(contents::Vector...) where NS @assert (length(NS) == length(contents)) && isa(NS, Tuple{Vararg{Symbol}}) BS = Expr(:curly, :Tuple, [contents[i]|>eltype for i = 1:length(NS)]...) return quote @assert mapreduce(length, ==, contents) VSZNamedVectorSpace{NS, $BS, typeof(contents)}(contents) end end struct VSPNamedVectorSpace{NS, BS<:Tuple, VS<:Tuple{Vararg{Vector}}} <: NamedVectorSpace{:product, NS, BS, VS} contents::VS end @generated function VSPNamedVectorSpace{NS}(contents::Vector...) where NS @assert (length(NS) == length(contents)) && isa(NS, Tuple{Vararg{Symbol}}) BS = Expr(:curly, :Tuple, [contents[i]|>eltype for i = 1:length(NS)]...) return :(VSPNamedVectorSpace{NS, $BS, typeof(contents)}(contents)) end @testset "NamedVectorSpace" begin @test IsMultiIndexable(NamedVectorSpace) == IsMultiIndexable(true) @test MultiIndexOrderStyle(NamedVectorSpace) == MultiIndexOrderStyle('C') nvs = VSZNamedVectorSpace{(:t, :U)}([1, 2], [8.0, 9.0]) @test nvs|>keys == nvs|>typeof|>keys == (:t, :U) @test nvs|>values == ([1, 2], [8.0, 9.0]) @test nvs|>pairs|>collect == [:t=>[1, 2], :U=>[8.0, 9.0]] @test eltype(nvs, 1) == eltype(nvs|>typeof, 1) == Int @test eltype(nvs, 2) == eltype(nvs|>typeof, 2) == Float64 @test nvs|>typeof|>rank == 1 @test dims(nvs) == (2,) elements = [(t = 1, U = 8.0), (t = 2, U = 9.0)] for i = 1:dimension(nvs) @test NamedTuple(inds(elements[i], nvs), nvs) == elements[i] end @test nvs|>collect == elements nvs = VSPNamedVectorSpace{(:t, :U)}([1.0, 2.0], [8.0, 9.0]) @test nvs|>typeof|>rank == 2 @test dims(nvs) == (2, 2) elements = [(t = 1.0, U = 8.0), (t = 1.0, U = 9.0), (t = 2.0, U = 8.0), (t = 2.0, U = 9.0)] for i = 1:dimension(nvs) @test NamedTuple(inds(elements[i], nvs), nvs) == elements[i] end @test nvs|>collect == elements end
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2.084242
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module Axes import ..Cubes: caxes, Cubes using Dates using Base.Iterators: take, drop """ abstract CubeAxis{T} Supertype of all axes. Every `CubeAxis` is an 1D Cube itself and can be passed to mapCube operations. """ abstract type CubeAxis{T,S} end Base.size(x::CubeAxis)=(length(x.values),) Base.size(x::CubeAxis,i)=i==1 ? length(x.values) : error("Axis has only a single dimension") Base.ndims(x::CubeAxis)=1 """ CategoricalAxis{T,S} To represent axes that are categorical, where `T` is the element type. The type parameter `S` denotes the axis name (a symbol). The default constructor is: CategoricalAxis(axname::String,values::Vector{T}) """ struct CategoricalAxis{T,S,RT} <: CubeAxis{T,S} values::RT end CategoricalAxis(s::Symbol,v)=CategoricalAxis{eltype(v),s,typeof(v)}(v) CategoricalAxis(s::AbstractString,v)=CategoricalAxis(Symbol(s),v) struct RangeAxis{T,S,R<:AbstractVector{T}} <: CubeAxis{T,S} values::R end """ RangeAxis{T,S,R} To represent axes that are categorical, where `T` is the element type. The type parameter `S` denotes the axis name (a symbol) and `R` the type of the range which is used to represent the axis values. The default constructor is: RangeAxis(axname::String,values::Range{T}) """ RangeAxis(s::Symbol,v::AbstractVector{T}) where T = RangeAxis{T,s,typeof(v)}(v) RangeAxis(s::AbstractString,v)=RangeAxis(Symbol(s),v) Base.length(a::CubeAxis)=length(a.values) """ axcopy(x,vals) Makes a copy of a `CubeAxis` with the values `vals` """ axcopy(ax::RangeAxis,vals) = RangeAxis(axname(ax),vals) axcopy(ax::CategoricalAxis,vals) = CategoricalAxis(axname(ax),vals) axcopy(ax::RangeAxis) = RangeAxis(axname(ax),copy(ax.values)) axcopy(ax::CategoricalAxis) = CategoricalAxis(axname(ax),copy(ax.values)) Base.show(io::IO,a::RangeAxis)=print(io,rpad(Axes.axname(a),20," "),"Axis with ",length(a)," Elements from ",first(a.values)," to ",last(a.values)) function Base.show(io::IO,a::CategoricalAxis) print(io,rpad(Axes.axname(a),20," "), "Axis with ", length(a), " elements: ") if length(a.values)<10 for v in a.values print(io,v," ") end else for v in take(a.values,2) print(io,v," ") end print(io,".. ") for v in drop(a.values,length(a.values)-2) print(io,v," ") end end end caxes(x::CubeAxis)=CubeAxis[x] axname(::Type{<:CubeAxis{<:Any,U}}) where U = string(U) axname(::CubeAxis{<:Any,U}) where U = string(U) axsym(::CubeAxis{<:Any,S}) where S = S get_step(r::AbstractRange)=step(r) get_step(r::AbstractVector)=length(r)==0 ? zero(eltype(r)) : r[2]-r[1] axVal2Index_ub(a::RangeAxis, v; fuzzy=false)=axVal2Index(a,v-abshalf(get_step(a.values)),fuzzy=fuzzy) axVal2Index_lb(a::RangeAxis, v; fuzzy=false)=axVal2Index(a,v+abshalf(get_step(a.values)),fuzzy=fuzzy) axVal2Index_ub(a::RangeAxis, v::Date; fuzzy=false)=axVal2Index(a,DateTime(v)-abshalf(get_step(a.values)),fuzzy=fuzzy) axVal2Index_lb(a::RangeAxis, v::Date; fuzzy=false)=axVal2Index(a,DateTime(v)+abshalf(get_step(a.values)),fuzzy=fuzzy) abshalf(a) = abs(a/2) abshalf(a::Day) = abs(Millisecond(a)/2) abshalf(a::Month) = iseven(Dates.value(a)) ? a/2 : Month(aΓ·2) + Day(15) get_bb(ax::RangeAxis) = first(ax.values)-abshalf(get_step(ax.values)), last(ax.values)+abshalf(get_step(ax.values)) function axisfrombb(name,bb,n) offs = (bb[2]-bb[1])/(2*n) RangeAxis(name,range(bb[1]+offs,bb[2]-offs,length=n)) end function axVal2Index(a::RangeAxis{<:Any,<:Any,<:AbstractRange},v;fuzzy=false) dt = v-first(a.values) r = round(Int,dt/step(a.values))+1 return max(1,min(length(a.values),r)) end convert_time(T::Type{<:TimeType}, v::TimeType) = T(year(v), month(v), day(v), hour(v), minute(v), second(v)) convert_time(T::Type{<:TimeType}, v::Date) = T(year(v), month(v), day(v), 0, 0, 0) convert_time(::Type{Date},v::TimeType) = Date(year(v),month(v),day(v)) convert_time(::Type{Date},v::Date) = Date(year(v),month(v),day(v)) function axVal2Index(a::RangeAxis{T},v;fuzzy=false) where T<:TimeType vconverted = convert_time(T,v) dd = map(i->abs((i-vconverted)),a.values) mi,ind = findmin(dd) return ind end function axVal2Index(a::RangeAxis{T,<:Any,<:AbstractRange},v;fuzzy=false) where T<:TimeType vconverted = convert_time(T,v) dd = map(i->abs((i-vconverted)),a.values) mi,ind = findmin(dd) return ind end function axVal2Index(axis::CategoricalAxis{String},v::String;fuzzy::Bool=false) r=findfirst(isequal(v),axis.values) if r===nothing if fuzzy r=findall(axis.values) do i startswith(lowercase(i),lowercase(v[1:min(length(i),length(v))])) end if length(r)==1 return(r[1]) else error("Could not find unique value of $v in $axis") end else error("$v not found in $axis") end end r end axVal2Index(x,v::CartesianIndex{1};fuzzy::Bool=false)=min(max(v.I[1],1),length(x)) function axVal2Index(x,v;fuzzy::Bool=false) i = findfirst(isequal(v),x.values) if isa(i,Nothing) if fuzzy==true dd = map(i->abs(i-v),x.values) mi,ind = findmin(dd) return ind else error("Value $v not found in x") end else return i end end abstract type AxisDescriptor end struct ByName <: AxisDescriptor name::String end struct ByInference <: AxisDescriptor end struct ByValue <: AxisDescriptor v::CubeAxis end struct ByFunction <: AxisDescriptor f::Function end const VecOrTuple{S} = Union{Vector{<:S},Tuple{Vararg{<:S}}} where S #findAxis(a::Any,c::VecOrTuple{<:CubeAxis}) = findAxis(get_descriptor(desc),c) get_descriptor(a::String)=ByName(a) get_descriptor(a::Symbol)=ByName(String(a)) get_descriptor(a::CubeAxis)=ByValue(a) get_descriptor(a::Function)=ByFunction(a) get_descriptor(a)=error("$a is not a valid axis description") get_descriptor(a::AxisDescriptor)=a function findAxis(bs::ByName,axlist::VecOrTuple{CubeAxis}) matchstr=bs.name ism=findall(i->startswith(lowercase(axname(i)),lowercase(matchstr)),axlist) isempty(ism) && return nothing if length(ism)>1 f = axlist[ism[1]] all(i->i==f,ism) || error("Multiple axes found matching string $matchstr") return f else return ism[1] end end function findAxis(bv::ByValue,axlist::VecOrTuple{CubeAxis}) v=bv.v return findfirst(i->i==v,axlist) end function getAxis(desc,axlist::VecOrTuple{CubeAxis}) i = findAxis(desc,axlist) if isa(i,Nothing) return nothing else return axlist[i] end end getOutAxis(desc,axlist,incubes,pargs,f) = getAxis(desc,unique(axlist)) function getOutAxis(desc::ByFunction,axlist,incubes,pargs,f) outax = desc.f(incubes,pargs) isa(outax,CubeAxis) || error("Axis Generation function $(desc.f) did not return an axis") outax end import DataStructures: counter function getOutAxis(desc::Tuple{ByInference},axlist,incubes,pargs,f) inAxes = map(caxes,incubes) inAxSmall = map(i->filter(j->in(j,axlist),i) |>collect,inAxes) inSizes = map(i->(map(length,i)...,),inAxSmall) intypes = map(eltype, incubes) testars = map((s,it)->zeros(it,s...),inSizes, intypes) map(testars) do ta ta .= rand(Base.nonmissingtype(eltype(ta)),size(ta)...) if eltype(ta) >: Missing # Add some missings randind = rand(1:length(ta),length(ta)Γ·10) ta[randind] .= missing end end resu = f(testars...,pargs...) isa(resu,AbstractArray) || isa(resu,Number) || isa(resu,Missing) || error("Function must return an array or a number") (isa(resu,Number) || isa(resu,Missing)) && return () outsizes = size(resu) outaxes = map(outsizes,1:length(outsizes)) do s,il if s>2 i = findall(i->i==s,length.(axlist)) if length(i)==1 return axlist[i[1]] elseif length(i)>1 @info "Found multiple matching axes for output dimension $il" end end return RangeAxis("OutAxis$(il)",1:s) end if !allunique(outaxes) #TODO: fallback with axis renaming in this case error("Could not determine unique output axes from output shape") end return (outaxes...,) end """ getAxis(desc::String, c) Given the string of an axis name and a cube, returns this axis of the cube. """ getAxis(desc,c)=getAxis(desc,caxes(c)) getAxis(desc::ByValue,axlist::Vector{T}) where {T<:CubeAxis}=desc.v "Fallback method" findAxis(desc,c)=findAxis(desc,caxes(c)) findAxis(a,axlist::VecOrTuple{CubeAxis}) = findAxis(get_descriptor(a),axlist) renameaxis(r::RangeAxis{T,<:Any,V}, newname) where {T,V} = RangeAxis{T,Symbol(newname),V}(r.values) renameaxis(r::CategoricalAxis{T,<:Any,V}, newname) where {T,V} = CategoricalAxis{T,Symbol(newname),V}(r.values) import Base.== import Base.isequal ==(a::CubeAxis,b::CubeAxis)=(a.values==b.values) && (axname(a)==axname(b)) isequal(a::CubeAxis, b::CubeAxis) = a==b using YAXArrayBase: YAXArrayBase #Implement yaxarray interface YAXArrayBase.dimname(x::CubeAxis,_) = axname(x) YAXArrayBase.dimvals(x::CubeAxis,_) = x.values YAXArrayBase.iscontdim(::RangeAxis,_) = true YAXArrayBase.iscontdim(::CategoricalAxis,_) = false end
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struct Node id::Union{Integer, Nothing} alias::Union{String, Nothing} label::String properties::Dict end Node(alias::String, label::String, properties::Dict) = Node(nothing, alias, label, properties) Node(label::String, properties::Dict) = Node(nothing, nothing, label, properties) Node(alias::String, label::String) = Node(nothing, alias, label, Dict()) Node(label::String) = Node(nothing, nothing, label, Dict()) Node(id::Integer) = Node(id, nothing, "", Dict()) # TODO: should be moved to some common module function prop_value_to_string(prop_value::Any) return "$prop_value" end function prop_value_to_string(prop_value::String) return "\"$prop_value\"" end function string(n::Node) alias = "" label = n.label props_str = "" if n.alias != nothing alias = n.alias end if length(n.properties) != 0 props = ["$prop_name: " * prop_value_to_string(prop_value) for (prop_name, prop_value) in pairs(n.properties)] props_str = "{" * join(props, ",") * "}" end "($alias:$label $props_str)" end function isequal(x::Node, y::Node) if x.id != nothing && y.id != nothing && x.id == y.id return true else if x.label == y.label && x.properties == y.properties return true end end return false end Base.:(==)(x::Node, y::Node) = isequal(x, y)
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uniform(key::JaxRNGKey, dims...; kwargs...) = uniform(Float64, key, dims...; kwargs...) uniform(T::Type{<:Number}, key::JaxRNGKey, dims...; kwargs...) = uniform(T, key, Dims(dims); kwargs...) function uniform( T::Type{<:Number}, key::JaxRNGKey, dims::Dims; minval = 0.0, maxval = 1.0, ) _random.uniform(key, reverse(dims), jl_to_np_type(T); minval = minval, maxval = maxval) end function uniform( T::Type{<:Integer}, key::JaxRNGKey, dims::Dims; minval::Integer = 0, maxval::Integer = 1, ) _random.randint( key, dims, dtype = jl_to_np_type(T), minval = minval, maxval = maxval, ) end normal(key::JaxRNGKey, dims...; kwargs...) = uniform(Float64, key, dims...) normal(T::Type{<:Number}, key::JaxRNGKey, dims...) = normal(T, key, Dims(dims)) function normal(T::Type{<:Number}, key::JaxRNGKey, dims::Dims) _random.normal(key, reverse(dims), dtype = jl_to_np_type(T)) end
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# Various algorithms for computing quantile function quantile_bisect(d::ContinuousUnivariateDistribution, p::Float64, lx::Float64, rx::Float64, tol::Float64) # find quantile using bisect algorithm cl = cdf(d, lx) cr = cdf(d, rx) @assert cl <= p <= cr while rx - lx > tol m = 0.5 * (lx + rx) c = cdf(d, m) if p > c cl = c lx = m else cr = c rx = m end end return 0.5 * (lx + rx) end quantile_bisect(d::ContinuousUnivariateDistribution, p::Float64) = quantile_bisect(d, p, minimum(d), maximum(d), 1.0e-12) # if starting at mode, Newton is convergent for any unimodal continuous distribution, see: # GΓΆknur Giner, Gordon K. Smyth (2014) # A Monotonically Convergent Newton Iteration for the Quantiles of any Unimodal # Distribution, with Application to the Inverse Gaussian Distribution # http://www.statsci.org/smyth/pubs/qinvgaussPreprint.pdf function quantile_newton(d::ContinuousUnivariateDistribution, p::Float64, xs::Float64=mode(d), tol::Float64=1e-12) if 0.0 < p < 1.0 while true x = xs + (p - cdf(d, xs)) / pdf(d, xs) abs(x-xs) >= max(abs(x),abs(xs))*tol || return x xs = x end elseif p == 0.0 return minimum(d) elseif p == 1.0 return maximum(d) else return NaN end end function cquantile_newton(d::ContinuousUnivariateDistribution, p::Float64, xs::Float64=mode(d), tol::Float64=1e-12) if 0.0 < p < 1.0 while true x = xs + (ccdf(d, xs)-p) / pdf(d, xs) abs(x-xs) >= max(abs(x),abs(xs))*tol || return x xs = x end elseif p == 1.0 return minimum(d) elseif p == 0.0 return maximum(d) else return NaN end end function invlogcdf_newton(d::ContinuousUnivariateDistribution, lp::Float64, xs::Float64=mode(d), tol::Float64=1e-12) if -Inf < lp < 0.0 if lp < logcdf(d,xs) while true x = xs - exp(lp - logpdf(d,xs) + logexpm1(max(logcdf(d,xs)-lp,0.0))) abs(x-xs) >= max(abs(x),abs(xs))*tol || return x xs = x end else while true x = xs + exp(lp - logpdf(d,xs) + log1mexp(min(logcdf(d,xs)-lp,0.0))) abs(x-xs) >= max(abs(x),abs(xs))*tol || return x xs = x end end elseif lp == -Inf return minimum(d) elseif lp == 0.0 return maximum(d) else return NaN end end function invlogccdf_newton(d::ContinuousUnivariateDistribution, lp::Float64, xs::Float64=mode(d), tol::Float64=1e-12) if -Inf < lp < 0.0 if lp < logccdf(d,xs) while true x = xs + exp(lp - logpdf(d,xs) + logexpm1(max(logccdf(d,xs)-lp,0.0))) abs(x-xs) >= max(abs(x),abs(xs))*tol || return x xs = x end else while true x = xs - exp(lp - logpdf(d,xs) + log1mexp(min(logccdf(d,xs)-lp,0.0))) abs(x-xs) >= max(abs(x),abs(xs))*tol || return x xs = x end end elseif lp == -Inf return maximum(d) elseif lp == 0.0 return minimum(d) else return NaN end end # A macro: specify that the quantile (and friends) of distribution D # is computed using the newton method macro quantile_newton(D) esc(quote quantile(d::$D, p::Float64) = quantile_newton(d,p) cquantile(d::$D, p::Float64) = cquantile_newton(d,p) invlogcdf(d::$D, lp::Float64) = invlogcdf_newton(d,lp) invlogccdf(d::$D, lp::Float64) = invlogccdf_newton(d,lp) end) end
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# https://www.nature.com/articles/s41598-017-16178-8.pdf?proof=t using MultidimensionalSpectroscopy, PyPlot, QuantumOptics, LinearAlgebra, FFTW, Colors, Printf, DelimitedFiles, Random, Combinatorics, Distributions QuantumOpticsBase.set_printing(standard_order=false,rounding_tol=1e-3) # make sure to set script directory as pwd() cd(@__DIR__) mod_name = "A" fn_log = "logs/" * mod_name * ".log" # erase .log file try rm("logs/" * mod_name * ".log") rm(fn_log) catch end ### -- select model parameters --- ### mod_name = "parameters/" * mod_name include( mod_name * ".params") logger(String(read(mod_name * ".params")), fn_log) pygui(true) calc_2d = true logger("\nDo 2D calculation: ", calc_2d, fn_log) cmp = create_colormap("bright"); # use 2 level system to approximate Frenkel excitons ... seems to coarse, but well Nlev = 3 b = NLevelBasis(Nlev) # energy of TDBC Frenkel exciton bright state #TODO: add some details, such as J angles, etc. Emon = E_monomer Emonb = 2 * E_monomer + 0.1 # not important here, but in general for TDBC aggregates # Ξ” = .299 # shift monomer -> aggregate # J = -Ξ” / (2 * cos(pi /(N+1))) # nearest-neighbour coupling constant # transitions and monomer Hamiltonian σ⁺ = transition(b,2,1) Οƒ31 = transition(b,3,1) Οƒ32 = transition(b,3,2) σ⁻ = transition(b,1,2) Οƒ13 = transition(b,1,3) Οƒ23 = transition(b,2,3) H_mon = Emon * σ⁺ * σ⁻ + Emonb * Οƒ31*Οƒ13 σ⁺ = σ⁺ + Οƒ32 σ⁻ = σ⁻ + Οƒ23 logger("\nMonomer Hamiltonian:\n\n", dense(H_mon), fn_log) # use N uncoupled TLSs N = N_monomers # from .params file B = b^N # basis for matter part of H # random (normal dist) list of energy shifts (factors) scaled arbitrarily by scale. Used to account for static disorder of exciton transition energy dE_n = energy_disorder # from .params file # keep only factors that increase E_mon, since Frenkel exciton absorption spectrum is not Gaussian but favors high energy side. This could be explained by # a maximum delocalisation length resulting in the lowest energy bright state beyond which no longer delocalisation is possible. Shorter delocalisation lengths, # due to structural breaks in the exciton or other effecsts, lead to the lowest/bright transition being at higher energies # idea1 #dE_n[dE_n.<=1] = 2 .- dE_n[dE_n.<=1] #BUG #CHECK This shifts polariton spectrum to higher E # idea2, better since keeps all values #dE_n = 1 .+ abs.(dE_n .- 1) # can deactive random energy shifts dE_n = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] .+ 1 # functions/methods to build matter H and transition operators, by embedding monomer H and Οƒ at site N H_n(n) = embed(B,n,H_mon * dE_n[n]) # Hamiltonian at site n => Hβ‚™ with random, normally distributed energy offset dE Σ⁺_n(n) = embed(B,n,σ⁺) # raising operator at site n Σ⁻_n(n) = embed(B,n,σ⁻) # lowering operator at site n # need this workaroud to deal with a single TLS... #BUG if N != 1 Σ⁺ = sum(Σ⁺_n.(1:N)) Σ⁻ = sum(Σ⁻_n.(1:N)) Σ⁺n = Σ⁺_n.(1:N) Σ⁻n = Σ⁻_n.(1:N) Hexc = sum(H_n.(1:N)) # Hamiltonian of disorder TLSs ... NOT coupled to each other else Σ⁺ = σ⁺ Σ⁻ = σ⁻ Σ⁺n = σ⁺ Σ⁻n = σ⁻ Hexc = H_mon # Hamiltonian of disorder TLSs ... NOT coupled to each other end logger("\nMatter Hamiltonian:\n\n", dense(Hexc), fn_log) # create cavity basis bcav = FockBasis(N_photonStates) #FACT: #CHECK need second FockState for ESA !? #bcav = FockBasis(1) #BUG#TODO: Having 2 photon states messes up transforming between eigen and site basis in subspace #IDEA MAYBE I need two 1 photon Fock states ? Ecav = E_cavity # slightly red-tuned from excitonic transition, as main system in paper a = destroy(bcav) # βŠ— one(bcav) + one(bcav) βŠ— destroy(bcav) at = create(bcav) #βŠ— one(bcav) + one(bcav) βŠ— create(bcav) # embed operators into full basis A = a βŠ— one(Hexc) At = at βŠ— one(Hexc) Σ⁺ = one(a) βŠ— Σ⁺ Σ⁻ = one(a) βŠ— Σ⁻ Σ⁺n = [one(a) βŠ— Σ⁺n[i] for i in 1:N] Σ⁻n = [one(a) βŠ— Σ⁻n[i] for i in 1:N] # create cavity H Hcav = Ecav * at * a logger("\nCavity Hamiltonian:\n\n", dense(Hcav), fn_log) # create basis of complete system Bfull = bcav βŠ— B # create Jaynes/Tavis-Cummings Hamiltonian for light-matter coupling g g = 0.15 / sqrt(N) # should make splliting independent of N #g = 0 H = embed(Bfull,1,Hcav) + one(Hcav) βŠ— Hexc + g * (Σ⁺ * A + Σ⁻ * At) logger("\nFull Hamiltonian:\n\n", dense(H), fn_log) # sort by increasing values of Hamiltonian (rough #CHECK ) ... sort into excitation sectors idx = sortperm(real(diag((H).data))) H.data = H.data[idx,idx] A.data = A.data[idx,idx] At.data = At.data[idx,idx] Σ⁺.data = Σ⁺.data[idx,idx] Σ⁻.data = Σ⁻.data[idx,idx] for i in 1:N Σ⁺n[i].data = Σ⁺n[i].data[idx,idx] Σ⁻n[i].data = Σ⁻n[i].data[idx,idx] end logger("\nOrdered Hamiltonian:\n\n", dense(H), fn_log) # transition operator #ΞΌ = Σ⁺ + Σ⁻ # transitions between excitonic states only, #FACT: not possible induced by ext. EM field in cavity, every via optical mode ΞΌ = At + A #+ At^2 + A^2 #FACT: transitions induced by external field # density matrices rho0 = dm(fockstate(bcav,0) βŠ— tensor([nlevelstate(b,1) for i in 1:N])) rho1 = dm(fockstate(bcav,0) βŠ— tensor([nlevelstate(b,2) for i in 1:N])) # transition operator from ground to first ES ΞΌ12 = rho0 * ΞΌ + ΞΌ * rho0 # sort (see above) ΞΌ12.data = ΞΌ12.data[idx,idx] rho0.data = rho0.data[idx,idx] rho1.data = rho1.data[idx,idx] # transition from first ES to higher ES #FACT: should connect excitation on exciton site and excitation of exciton + cavity ΞΌ23 = ΞΌ - ΞΌ12 # normalization of ΞΌ12 and ΞΌ23 ... seems not really necessary #DELETE rho1 = ΞΌ12 * rho0 * ΞΌ12 #ΞΌ12 = ΞΌ12 / sqrt(tr(rho1)) #rho1 = ΞΌ12 * rho0 * ΞΌ12 rho2 = ΞΌ23 * rho1 * ΞΌ23 #ΞΌ23 = ΞΌ23 / sqrt(tr(rho2)) #ΞΌ23 = ΞΌ23 rho2 = ΞΌ23 * rho1 * ΞΌ23 # Lindblad dissipation operators L1 = A # FACT: #CHECK only the relaxation channel from single exc. sector to GS is relevant ... L2 = Σ⁻ # FACT: actually, having the elements that connect single and double exc. sector seems to ... # FACT: broaden the ESA peaks (the only signal that considers single and double exc. sectors) L3 = .5 * ((At*A) - (A*At)) # not sure if this one is relevant/meaningful/... #CHECK #L3 = A - L1 #L4 = Σ⁻ - L2 # rates and list of Lindblad dissipation operators Ξ“ = [.25, .000001] # Ξ“[1] was 0.2 before L = Ξ“ .* [L1, L2] # plot energy levels figure(); title("Energy level diagram") plot_levels(H,0) plot_levels(Hcav,-1) plot_levels(Hexc,1) plot_levels(H_mon,2) xticks([-1, 0, 1, 2], ["cavity", "full", "matter", "monomer"]) ## # create subspace (single excitation, double excitation, ...) in eigenbasis/polariton basis H_si, transf_op_si, P_si, L_si, rho0_si, ΞΌ12_si, ΞΌ23_si, Σ⁺_si, Σ⁻_si, At_si, A_si = create_subspace([H],"si", L, rho0, ΞΌ12, ΞΌ23, Σ⁺, Σ⁻, At, A) H_si = H_si[1] H, transf_op, P, L, rho0, ΞΌ12, ΞΌ23, Σ⁺, Σ⁻, At, A = create_subspace([H],"bi", L, rho0, ΞΌ12, ΞΌ23, Σ⁺, Σ⁻, At, A) H = H[1] #FACT: Using "bi_lowest" does not give ESA that eliminates above diagonal cross-peak #FACT: Neither does using "bi_polariton", which takes lowest and highest levels of double excitation sector #FACT: only using "bi" adds ESA signal at above diagonal cross-peak that cancels out the GSB above diagonal cross-peak after some time T Σ⁺n_si = [P_si * Σ⁺n[i] * P_si' for i in 1:N] Σ⁻n_si = [P_si * Σ⁻n[i] * P_si' for i in 1:N] Σ⁺n = [P * Σ⁺n[i] * P' for i in 1:N] Σ⁻n = [P * Σ⁻n[i] * P' for i in 1:N] logger("\nCHANGE TO SUBSPACE", fn_log) logger("\n0th, 1st, 2nd Manifold", fn_log) logger("\nCoupled (eigen) basis", fn_log) logger("\nHamiltonian:\n\n", dense(H), fn_log) logger("\nTransition operator gs <-> es:\n\n", dense(ΞΌ12), fn_log) logger("\nTransition operator es <-> d-es:\n\n", dense(ΞΌ23), fn_log) logger("\n0th, 1st, 2nd Manifold", fn_log) logger("\nUncoupled (site) basis", fn_log) logger("\nHamiltonian:\n\n", transf_op * H * transf_op', fn_log) logger("\nTransition operator gs <-> es:\n\n", transf_op * ΞΌ12 * transf_op', fn_log) logger("\nTransition operator es <-> d-es:\n\n", transf_op * ΞΌ23 * transf_op', fn_log) logger("\n0th, 1st Manifold", fn_log) logger("\nCoupled (eigen) basis", fn_log) logger("\nHamiltonian:\n\n", dense(H_si), fn_log) logger("\nTransition operator gs <-> es:\n\n", ΞΌ12_si, fn_log) logger("\nTransition operator es <-> d-es:\n\n", ΞΌ23_si, fn_log) logger("\nUncoupled (site) basis", fn_log) logger("\nHamiltonian (o, 1, 2 Manifold; site):\n\n", transf_op_si * H_si * transf_op_si', fn_log) logger("\nTransition operator gs <-> es:\n\n", transf_op_si * ΞΌ12_si * transf_op_si', fn_log) logger("\nTransition operator es <-> d-es:\n\n", transf_op_si * ΞΌ23_si * transf_op_si', fn_log) plot_levels(H_si,-0.05,col="r",ls="dashed") plot_levels(H , 0.05,col="b",ls="dotted") # transf_op can be used to convert between polariton and site basis #FACT: required prior sorting of operators into blocks of excitation sectors # H_site = transf_op * H * transf_op' # H_site_si = transf_op_si * H_si * transf_op_si' #TODO: vary g instead of E_mon ... try to see effect g = g .* dE_n #Hk(i) = (Ecav * At_si * A_si) + (Emon * Σ⁺_si * Σ⁻_si) + g[1] * (Σ⁺_si * A_si + Σ⁻_si * At_si) # time list tlist = [0:1.1:200;] logger("\nTime list:\n\n", tlist, fn_log) # Lindblad time evolution corr = timecorrelations.correlation(tlist, rho0_si, H_si, L_si, ΞΌ12_si, ΞΌ12_si) # #TODO: test with varying g ... #corr = sum([timecorrelations.correlation(tlist, rho0_si, Hk(i), L_si, ΞΌ12_si, ΞΌ12_si) for i in 1:1]) ./ 1 # zeropadding for smoother data only zp = 10 corr = zeropad(corr,zp) tnew, ~ = interpt(tlist,zp) # calculate and plot spectrum Ο‰, spec = timecorrelations.correlation2spectrum(tnew, corr; normalize_spec=true); figure() subplot(211) plot(Ο‰,spec) # load and plot experimental absorption spectrum TDBC_cav = readdlm("TDBC_cav.dat") TDBC_cav_E = TDBC_cav[:,2] ./ 8065 # convert from cm^-1 to eV TDBC_cav_I = TDBC_cav[:,3] ./ 0.176 # normalize to 1 (in the visible) plot(-TDBC_cav_E,TDBC_cav_I,"r:") # TODO: spectral density ... so far only trial and error ... Seems like it needs to bridge the E gap between P+ and P- for relaxation to occur width = .005 #Ο‰q_TDBC = [0.12 0.336] #ampl_TDBC = [0.12 3] / (N) # from ... http://www.rsc.org/suppdata/c8/sc/c8sc00171e/c8sc00171e1.pdf #Ο‰q_TDBC = [40, 80, 120, 150, 185, 197] ./ 8065 #.* 0.02998 # cm-1 in Hz #./ 8065 # in eV instead # => [0.00496 0.00992 0.01488 0.01860 0.02294 0.02443] #ampl_TDBC = [14, 18, 25, 43, 42, 67, 60] #Ο‰q_TDBC = [0.0084, 0.0120, 0.1204, 0.1289, 0.1304, 0.1424, 0.303] #FACT: relaxation from UP to LP when Ο‰q_TDBC bridges energy gap between UP and LP. However, no relaxation to dark states ... DUE TO LACK OF COUPLING ???? Ο‰q_TDBC = Ο‰q # from .params file ampl_TDBC = Aq # from .params file logger("Spectral frequencies: ", Ο‰q_TDBC, fn_log) logger("Spectral amplitudes: ", ampl_TDBC, fn_log) logger("Spetral peak width: ", width, fn_log) try # need to delete method first when working on it local m = @which spectral_density(1) Base.delete_method(m) catch end function spectral_density(Ο‰) # power spectral density, thermal bath noise spectrum #w = [(Ο‰ .- Ο‰q_TDBC[i]) ./ (.5 * width) for i in 1:length(Ο‰q_TDBC)] b = 1 / 0.0259 # eV k_B*T at T=300 K f = .5 # 0 ... 1: relative importance of non-radiation vs. dephasing ... f = 0 > no dephasing Ξ³ = 0.7 # from absorption linewidth Ξ³ = Ξ³_non-rad + Ξ³_dephasing Ξ· = 1 Ξ· = f * Ξ³ / (2 * pi * 0.0259) Ο‰_cut = .1 if Ο‰ == 0 JΟ‰ = .0 #elseif !isless(real(Ο‰),0) #else # w = [(Ο‰ .- Ο‰q_TDBC[i]) ./ (.5 * width) for i in 1:length(Ο‰q_TDBC)] # JΟ‰ = sum([ampl_TDBC[i] ./ (1 .+ w[i].^2) for i in 1:length(Ο‰q_TDBC)]) # probably most realistic ... ??? # #JΟ‰ = 1 end if !isless(real(Ο‰),0) && Ο‰ != 0 w = [(Ο‰ .- Ο‰q_TDBC[i]) ./ (.5 * width) for i in 1:length(Ο‰q_TDBC)] JΟ‰ = sum([ampl_TDBC[i] ./ (1 .+ w[i].^2) for i in 1:length(Ο‰q_TDBC)]) JΟ‰ = Ξ· * Ο‰ * exp(-(Ο‰/Ο‰_cut)^2) + JΟ‰ JΟ‰ = JΟ‰ * (1/exp(b * Ο‰ - 1) + 1) elseif isless(real(Ο‰),0) w = [(Ο‰ .- Ο‰q_TDBC[i]) ./ (.5 * width) for i in 1:length(Ο‰q_TDBC)] JΟ‰a = sum([ampl_TDBC[i] ./ (1 .+ w[i].^2) for i in 1:length(Ο‰q_TDBC)]) JΟ‰ = Ξ· * -Ο‰ * exp(-(-Ο‰/Ο‰_cut)^2) JΟ‰ = JΟ‰ * (1/exp(b * -Ο‰ - 1)) + JΟ‰a end return JΟ‰ end #plot spectral density #figure() subplot(212) plot(collect(-1:.001:1),(spectral_density.(collect(-1:.001:1)))) # Rate and operator for redfield process (GS -> single exc sector) Ξ“_R = .23 # this means collective mode of all TLSs dephases ... a_ops_si = [Ξ“_R * Σ⁺_si * Σ⁻_si, spectral_density] # ... and this: each TLS dephases individually a_ops_si = vcat([[Σ⁺n_si[i] * Σ⁻n_si[i], spectral_density] for i in 1:N]...) R_si, ekets = timeevolution.bloch_redfield_tensor(H_si, [a_ops_si]; J=1 .* L_si) # time evolution, Redfield tout, rhot = timeevolution.master_bloch_redfield(tlist,ΞΌ12_si*rho0_si,R_si,H_si) corr = expect(ΞΌ12_si,rhot) # calculate and plot spectrum corr = zeropad(corr,zp) tnew, ~ = interpt(tlist,zp) Ο‰, spec = timecorrelations.correlation2spectrum(tnew, corr; normalize_spec=true); subplot(211) plot(Ο‰,spec) #FACT: J(0) > 0 induces pure dephasing and leads to broadening of ALL transitions #FACT: J(Ο‰) > 0 for Ο‰ > 0 leads to relaxation between states with Ei - Ef = Ο‰ ... #CHECK what role does the operator play ? figure(figsize=(14,4)); subplot(131) plot(tout,real(corr[1:length(tout)])) tout, rhot = timeevolution.master_bloch_redfield(tlist,ΞΌ12_si*rho0_si*ΞΌ12_si,R_si,H_si) rho1test = copy(rho0_si) rho1test.data[1,1] = 0 rho1test.data[2,2] = 1 #tout, rhot = timeevolution.master_bloch_redfield(tlist,rho1test,R_si,H_si) #corr_gs = expect(Σ⁺_si*Σ⁻_si,rhot) corr_gs = expect(rho0_si,rhot) #corr_es = expect(Σ⁻_si*Σ⁺_si,rhot) #corr_es = expect(ΞΌ12_si * rho0_si * ΞΌ12_si,rhot) corr_es_mat = expect(Σ⁺_si * rho0_si * Σ⁻_si / N,rhot) corr_es_cav = expect(At_si * rho0_si * A_si, rhot) plot(tout,real(corr_gs)) #plot(tout,corr_es) # == corr_es_cav plot(tout,real(corr_es_cav)) plot(tout,real(corr_es_mat)) legend(["corr. function", "ground state", "cavity", "matter"]) rhot_site = [transf_op_si * i * transf_op_si' for i in rhot] corr_es1_mat = expect(rho0_si, rhot_site) #plot(tout,corr_es1_mat) vecs = eigvecs(dense(H_si).data) eivecs = [Ket(H_si.basis_l,vecs[:,i]) for i in 1:length(vecs[1,:])] subplot(132); title("eigen/coupled basis") # levels: 1 -> GS, 2 -> LP, 3 - N-1 -> ..., N -> UP for i in 1:H_si.basis_l.shape[1] local es_n = real(expect(dm(eivecs[i]),rhot)) plot(tout,es_n,linestyle="dashed", label=string(i)); #append!(leg,[string(i)]) ylim((-0.1, 1)) end legend() es_mat = zeros(length(tout)) subplot(133); title("uncoupled basis") # levels: 1 -> GS, 2 -> cav., 3 - N -> TLSs for i in 1:H_si.basis_l.shape[1] local es_n = real(expect(dm(eivecs[i]),rhot_site)) plot(tout,es_n,linestyle="dashed", label=string(i)); #append!(leg,[string(i)]) if i > 2 global es_mat = es_mat .+ es_n end end plot(tout, es_mat, label="Ξ£(TLSs)") legend() # Rate and operator for redfield process (GS up to double exc sector) a_ops = [Ξ“_R * Σ⁺ * Σ⁻, spectral_density] a_ops = vcat([[Σ⁺n[i] * Σ⁻n[i], spectral_density] for i in 1:N]...) R, ekets = timeevolution.bloch_redfield_tensor(H, [a_ops]; J=1 .* L) # choose method to use for simulation of 2D spectra method = "redfield" # change parameters accordingly #TODO: simplify a bit if method == "lindblad" F = L F_si = L_si use_sub = true H = H[1] elseif method == "redfield" F = R F_si = R_si use_sub = true end if calc_2d ## calculate (complex) 3rd order corr function (with T=0) zp = 11 # zeropad up to 2^zp ## calculate 2D spectra at T = [0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 100, 200, 300] # energy eV -> t => [hbar / eV] ~ 0.66 fs T = [0, 30] spectra2d = Array{out2d}(undef, length(T)) # cannot plot inside cmds.jl when multithreading #for i = 1:length(T) # multithreading (run several T steps in parallel)! Threads.@threads for i = 1:length(T) spectra2d[i] = make2Dspectra(tlist,[rho0, rho0_si],[H, H_si],[F, F_si],[ΞΌ12, ΞΌ12_si],[ΞΌ23, ΞΌ23_si],T[i], method;debug=true,use_sub=use_sub, t2coh="kin",zp=zp) end ## crop 2D data and increase dw spectra2d = crop2d.(spectra2d,1.5;w_max=2.6,step=1) spectra2d = round2d.(spectra2d) end if calc_2d ## plot 2D spectra for each(?) T # what to plot rep="abst" scal="lin" ## make subplot layout nplots = length(T); ncols = Int32(ceil(sqrt(nplots))); nrows = Int32(ceil(nplots / ncols)); # determine maximum value in dataset out2d[:].full2d[:,:] maxi = Float64(maximum([maximum(real(spectra2d[i].full2d)) for i in 1:length(spectra2d)])) # plot 2D spectra fig, ax = subplots(nrows,ncols,sharex=true,sharey=true,figsize=(ncols*3.5,nrows*3)) if nplots == 1 ax = [ax] end fig.suptitle(rep * " 2D spectrum (" * scal * ". scaling)") k = 0 for i = 1:nrows for j = 1:ncols global k += 1 if k > nplots continue end sca(ax[j,i]) ax[j,i].set_aspect="equal" plot2d(spectra2d[k].Ο‰,round.(spectra2d[k].full2d,digits=1);repr=rep,scaling=scal,norm=maxi) title("2D spectrum at $(T[k]) fs") end end tight_layout() subplots_adjust(top=0.825) ## plot TA (summed 2D spectrum) figure() ta = [sum(spectra2d[i].full2d,dims=1) for i in 1:length(spectra2d)] #[plot(out2d[1].Ο‰,ta[i]') for i in 1:length(ta)] [plot(3e8 * 4.136e-15 ./ spectra2d[1].Ο‰ ./ 1e-9,-ta[i]') for i in 1:length(ta)] xlabel("Detection (ω₃)") legend([string(i) * " fs" for i in T]) tight_layout() end # to plot time traces # cmds.plot_timeTrace([real(i.full2d) for i in out2d],T,out2d[1].Ο‰,[1.925, 1.925, 2.24, 2.24],[1.925, 2.24, 2.24, 1.925])
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2.139375
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using Documenter, HomotopyContinuation import LinearAlgebra makedocs( sitename = "Homotopy Continuation", pages = [ "Introduction" => "index.md", "Solving polynomial systems" => [ "solving.md", "solver.md" ], "Solving parametrized systems with monodromy" => "monodromy.md", "Tracking paths" => [ "path_tracker.md", "core_tracker.md", ], "Homotopies" => "homotopies.md", "Polynomial systems" => "systems.md", "Reference" => "reference.md" ], strict=false) deploydocs( repo = "github.com/JuliaHomotopyContinuation/HomotopyContinuation.jl.git" )
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2.081571
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using TerminalLoggers: StickyMessages @testset "Sticky messages without ANSI codes" begin buf = IOBuffer() # Without TTY, messages are just piped through stickies = StickyMessages(buf, ansi_codes=false) push!(stickies, :a=>"Msg\n") @test String(take!(buf)) == "Msg\n" push!(stickies, :a=>"Msg\n") @test String(take!(buf)) == "Msg\n" pop!(stickies, :a) @test String(take!(buf)) == "" end @testset "Sticky messages with ANSI codes" begin buf = IOBuffer() dsize = (20, 80) # Intentionally different from default of 25 rows # In TTY mode, we generate various escape codes. stickies = StickyMessages(IOContext(buf, :displaysize=>dsize), ansi_codes=true) push!(stickies, :a=>"Msg\n") @test String(take!(buf)) == #scroll #csr #pos #msg #pos "\e[20;1H\n\e[1;19r\e[20;1HMsg\e[19;1H" push!(stickies, :a=>"MsgMsg\n") @test String(take!(buf)) == #clear #msgpos #msg #repos "\e[20;1H\e[J\e[20;1HMsgMsg\e[19;1H" push!(stickies, :b=>"BBB\n") @test String(take!(buf)) == #clear #scroll #csr #pos #msgs #pos "\e[20;1H\e[J\e[19;1H\n\e[1;18r\e[19;1HMsgMsg\nBBB\e[18;1H" pop!(stickies, :a) @test String(take!(buf)) == #clear #csr #pos #msg #pos "\e[19;1H\e[J\e[1;19r\e[20;1HBBB\e[18;1H" pop!(stickies, :b) @test String(take!(buf)) == #clear #csr #pos "\e[20;1H\e[J\e[1;20r\e[19;1H" pop!(stickies, :b) @test String(take!(buf)) == "" push!(stickies, :a=>"Ξ±Ξ²Ξ³\n") @test String(take!(buf)) == #scroll #csr #pos #msg #pos "\e[20;1H\n\e[1;19r\e[20;1HΞ±Ξ²Ξ³\e[19;1H" push!(stickies, :b=>"msg\n") take!(buf) # Remove all two messages empty!(stickies) @test String(take!(buf)) == #clear #csr #pos "\e[19;1H\e[J\e[1;20r\e[18;1H" end @noinline func_barrier(f) = f() @testset "Sticky messages with ANSI codes" begin buf = IOBuffer() dsize = (20, 80) # Intentionally different from default of 25 rows func_barrier() do # Hide stickies variable behind a function barrier to make sure(er) # that it can be GC'd. stickies = StickyMessages(IOContext(buf, :displaysize=>dsize), ansi_codes=true) push!(stickies, :a=>"a-msg\n") push!(stickies, :b=>"b-msg\n") take!(buf) nothing end # Hack to force StickyMessages finalizer GC.gc(true) # trigger finalizer for i=1:1000 yield() # allow async cleanup end @test String(take!(buf)) == #clear #csr #pos "\e[19;1H\e[J\e[1;20r\e[18;1H" end
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using Documenter using SymmetricSparseMatrices makedocs( sitename = "SymmetricSparseMatrices", format = Documenter.HTML(), modules = [SymmetricSparseMatrices] ) deploydocs(repo = "github.com/victorsndvg/SymmetricSparseMatrices.jl.git")
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# # Collinear spin and magnetic systems # # In this example we consider iron in the BCC phase. # To show that this material is ferromagnetic we will model it once # allowing collinear spin polarization and once without # and compare the resulting SCF energies. In particular # the ground state can only be found if collinear spins are allowed. # # First we setup BCC iron without spin polarization # using a single iron atom inside the unit cell. using DFTK a = 5.42352 # Bohr lattice = a / 2 * [[-1 1 1]; [ 1 -1 1]; [ 1 1 -1]] Fe = ElementPsp(:Fe, psp=load_psp("hgh/lda/Fe-q8.hgh")) atoms = [Fe => [zeros(3)]]; # To get the ground-state energy we use an LDA model and rather moderate # discretisation parameters. kgrid = [3, 3, 3] # k-point grid (Regular Monkhorst-Pack grid) Ecut = 15 # kinetic energy cutoff in Hartree model_nospin = model_LDA(lattice, atoms, temperature=0.01) basis_nospin = PlaneWaveBasis(model_nospin; kgrid, Ecut) scfres_nospin = self_consistent_field(basis_nospin, tol=1e-6, mixing=KerkerMixing()); #- scfres_nospin.energies # Since we did not specify any initial magnetic moment on the iron atom, # DFTK will automatically assume that a calculation with only spin-paired # electrons should be performed. As a result the obtained ground state # features no spin-polarization. # Now we repeat the calculation, but give the iron atom an initial magnetic moment. # For specifying the magnetic moment pass the desired excess of spin-up over spin-down # electrons at each centre to the `Model` and the guess density functions. # In this case we seek the state with as many spin-parallel # ``d``-electrons as possible. In our pseudopotential model the 8 valence # electrons are 2 pair of ``s``-electrons, 1 pair of ``d``-electrons # and 4 unpaired ``d``-electrons giving a desired magnetic moment of `4` at the iron centre. # The structure (i.e. pair mapping and order) of the `magnetic_moments` array needs to agree # with the `atoms` array and `0` magnetic moments need to be specified as well. magnetic_moments = [Fe => [4, ]]; # !!! tip "Units of the magnetisation and magnetic moments in DFTK" # Unlike all other quantities magnetisation and magnetic moments in DFTK # are given in units of the Bohr magneton ``μ_B``, which in atomic units has the # value ``\frac{1}{2}``. Since ``μ_B`` is (roughly) the magnetic moment of # a single electron the advantage is that one can directly think of these # quantities as the excess of spin-up electrons or spin-up electron density. # # We repeat the calculation using the same model as before. DFTK now detects # the non-zero moment and switches to a collinear calculation. model = model_LDA(lattice, atoms, magnetic_moments=magnetic_moments, temperature=0.01) basis = PlaneWaveBasis(model; Ecut, kgrid) ρ0 = guess_density(basis, magnetic_moments) scfres = self_consistent_field(basis, tol=1e-6; ρ=ρ0, mixing=KerkerMixing()); #- scfres.energies # !!! note "Model and magnetic moments" # DFTK does not store the `magnetic_moments` inside the `Model`, but only uses them # to determine the lattice symmetries. This step was taken to keep `Model` # (which contains the physical model) independent of the details of the numerical details # such as the initial guess for the spin density. # # In direct comparison we notice the first, spin-paired calculation to be # a little higher in energy println("No magnetization: ", scfres_nospin.energies.total) println("Magnetic case: ", scfres.energies.total) println("Difference: ", scfres.energies.total - scfres_nospin.energies.total); # Notice that with the small cutoffs we use to generate the online # documentation the calculation is far from converged. # With more realistic parameters a larger energy difference of about # 0.1 Hartree is obtained. # The spin polarization in the magnetic case is visible if we # consider the occupation of the spin-up and spin-down Kohn-Sham orbitals. # Especially for the ``d``-orbitals these differ rather drastically. # For example for the first ``k``-point: iup = 1 idown = iup + length(scfres.basis.kpoints) ÷ 2 @show scfres.occupation[iup][1:7] @show scfres.occupation[idown][1:7]; # Similarly the eigenvalues differ @show scfres.eigenvalues[iup][1:7] @show scfres.eigenvalues[idown][1:7]; # !!! note "k-points in collinear calculations" # For collinear calculations the `kpoints` field of the `PlaneWaveBasis` object contains # each ``k``-point coordinate twice, once associated with spin-up and once with down-down. # The list first contains all spin-up ``k``-points and then all spin-down ``k``-points, # such that `iup` and `idown` index the same ``k``-point, but differing spins. # We can observe the spin-polarization by looking at the density of states (DOS) # around the Fermi level, where the spin-up and spin-down DOS differ. using Plots plot_dos(scfres) # Similarly the band structure shows clear differences between both spin components. using Unitful using UnitfulAtomic plot_bandstructure(scfres; kline_density=6)
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3.140663
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module Bindings using Pkg using LinearAlgebra, LowRankApprox, Statistics, StaticArrays using JuLIP using ACE, ACEtb using ACEtb.Bonds: BondCutoff, get_env, get_env_j, get_env_neighs, get_env_neighs_j, get_all_neighs, get_i_neighs, get_i_neighs_j, eval_bond, get_basis using ACEtb.SlaterKoster import ACEtb.SlaterKoster.CodeGeneration using ACEtb.SlaterKoster: sk2cart using ACEtb.Utils: read_json, write_json, h5read_SK using ACEtb.Predictions: predict, train_and_predict using ACEtb.TBhelpers using ProgressMeter using Random using JSON using HDF5 bohr2ang = 0.188972598857892E+01 hartree2ev = 27.211386024367243 export set_model, model_predict, acetb_greetings acetb_dct = Dict() Bondint_table = nothing cutoff_func = nothing saveh5_HH = nothing saveh5_SS = nothing saveh5_satoms = nothing model_onsite_vals = nothing function buildHS_test(H, S, istart, iend, natoms, coords, species, nnei, inei, ipair, norbs, cutoff, cell, HH, SS, supercell_atoms; MPIproc=1, onsite_HS=nothing) if(MPIproc == 1) Nprg = iend-istart+1 if isa(stdout, Base.TTY) prgres = Progress(Nprg, dt=0.25, desc="[ Info: | Calculating ... ", barglyphs=BarGlyphs('|','β–ˆ', ['▁' ,'β–‚' ,'β–ƒ' ,'β–…' ,'β–†', 'β–‡'],' ','|',), barlen=20) end end invcell = inv(cell) mesh = [9, 9, 9] central_atom = prod(mesh) Γ· 2 + 1 # atom 365 for the 9Γ—9Γ—9=729 atom dataset rcn = get_tbcells(supercell_atoms, invcell, mesh, central_atom) if onsite_HS !== nothing atoms = set_JuLIP_atoms(acetb_dct["elm_names"], natoms, coords, species, cell) onsite_HS = onsite_HS(atoms) end for ia = istart:iend isp = species[ia] offset = ia == 1 ? 0 : sum(nnei[1:ia-1]) # Onsite blocks io = ipair[offset + ia] + 1 nno = norbs[isp] * norbs[isp] shift = convert(Array{Int64,1}, [0,0,0]) cid = find_row_in_matrix(shift, rcn) # @show HH[cid,:,:] # @show SS[cid,:,:] if onsite_HS !== nothing os_H, os_S = onsite_HS(ia) H[io : io + nno - 1] = os_H S[io : io + nno - 1] = os_S else H[io : io + nno - 1] = vcat(HH[cid,:,:]...) / hartree2ev S[io : io + nno - 1] = vcat(SS[cid,:,:]...) / hartree2ev end # Offsite blocks for nj = 1:nnei[ia] jn = offset + ia + nj ja = inei[jn] jsp = species[ja] ix = ipair[jn] iy = ix + norbs[isp] * norbs[jsp] ix += 1 Rij = transpose(coords[:,ja] - coords[:,ia]) if cutoff < norm(Rij) continue end shift = convert(Array{Int64,1}, round.(invcell * Rij')) shift = wrap_shift(shift, mesh) cid = find_row_in_matrix(shift, rcn) H[ix : iy] = vcat(HH[cid,:,:]...) S[ix : iy] = vcat(SS[cid,:,:]...) end if(MPIproc == 1) next!(prgres) end end if(MPIproc == 1) flush(stdout) end end function buildHS(SKH_list, H, S, istart, iend, natoms, coords, cell, species, nnei, inei, ipair, i2a, norbs, onsite_HS, Bondint_table, cutoff_func, cutoff; MPIproc=1) WriteAllow = false if(MPIproc == 1) if Threads.threadid() == 1 WriteAllow = true end Nprg = iend-istart+1 if isa(stdout, Base.TTY) prgres = Progress(Nprg, dt=0.25, desc="[ Info: | Calculating ... ", barglyphs=BarGlyphs('|','β–ˆ', ['▁' ,'β–‚' ,'β–ƒ' ,'β–…' ,'β–†', 'β–‡'],' ','|',), barlen=20) end end atoms = set_JuLIP_atoms(acetb_dct["elm_names"], natoms, coords, species, cell) onsite_HS = onsite_HS(atoms) Threads.@threads for ia = istart:iend isp = species[ia] # @show ia, isp offset = ia == 1 ? 0 : sum(nnei[1:ia-1]) # Onsite blocks # io = ipair[offset + ia] + 1 # @show size(onsite_terms[isp]) # for ib = 1:norbs[isp] # H[io] = onsite_terms[isp][ib] # S[io] = 1.0 # io += norbs[isp] + 1 # end io = ipair[offset + ia] + 1 nno = norbs[isp] * norbs[isp] os_H, os_S = onsite_HS(ia) # @show os_H, os_S H[io : io + nno - 1] = os_H S[io : io + nno - 1] = os_S # Offsite blocks lnb = length(SKH_list[isp].bonds) for nj = 1:nnei[ia] jn = offset + ia + nj ja = inei[jn] jsp = species[ja] ix = ipair[jn] iy = ix + norbs[isp] * norbs[jsp] ix += 1 R0 = SVector((coords[:,ja] - coords[:,ia])...) if cutoff < norm(R0) continue end # Predictions Renv = get_env(acetb_dct["julip_atoms"], R0, ia, cutoff_func) VV = Bondint_table(R0,Renv) # Set H and S E = sk2cart(SKH_list[isp], R0, VV[1:lnb], WriteAllow=WriteAllow) H[ix : iy] = vcat(E...) / hartree2ev # FIXME add units to metadata ES = sk2cart(SKH_list[isp], R0, VV[lnb+1:end], WriteAllow=WriteAllow) S[ix : iy] = vcat(ES...) / hartree2ev # FIXME add units to metadata end if(MPIproc == 1) if isa(stdout, Base.TTY) next!(prgres) end end end if(MPIproc == 1) flush(stdout) end end function buildHS_dftb_neigh(SKH_list, H, S, istart, iend, norbs, onsite_terms, Bondint_table, cutoff_func, cutoff; MPIproc=1) tbcells = get_translation_cells(acetb_dct["julip_atoms"].cell, cutoff) nnei, inei, i2a, icellvec, coords, species = get_neighbours(acetb_dct["julip_atoms"], tbcells, cutoff) ipair = get_sparse_indexing(acetb_dct["julip_atoms"], nnei, inei, i2a, norbs) inei = vcat(inei...) ipair = vcat(ipair...) coords = transpose(coords) println("---") println(size(nnei)) println(size(inei)) println(size(ipair)) println(size(coords)) WriteAllow = false if(MPIproc == 1) if Threads.threadid() == 1 WriteAllow = true end Nprg = iend-istart+1 if isa(stdout, Base.TTY) prgres = Progress(Nprg, dt=0.25, desc="[ Info: | Calculating ... ", barglyphs=BarGlyphs('|','β–ˆ', ['▁' ,'β–‚' ,'β–ƒ' ,'β–…' ,'β–†', 'β–‡'],' ','|',), barlen=20) end end Rt = get_i_neighs(1, length(acetb_dct["julip_atoms"]), coords, nnei, inei) #Rt = get_all_neighs(acetb_dct["natoms"], coords, nnei, inei) #Rt = get_i_neighs(1, natoms, coords, nnei, inei) #Rt, jt = get_i_neighs_j(istart, iend, coords, nnei, inei) Threads.@threads for ia = istart:iend isp = species[ia] offset = ia == 1 ? 0 : sum(nnei[1:ia-1]) # Onsite blocks io = ipair[offset + ia] + 1 for ib = 1:norbs[isp] H[io] = onsite_terms[isp][ib] S[io] = 1.0 io += norbs[isp] + 1 end lnb = length(SKH_list[isp].bonds) # Offsite blocks for nj = 1:nnei[ia] jn = offset + ia + nj ja = inei[jn] jsp = species[ja] ix = ipair[jn] iy = ix + norbs[isp] * norbs[jsp] ix += 1 R0 = Rt[ia][nj] if cutoff < norm(R0) continue end # Predictions #Renv = get_env_neighs(vcat(Rt[ia],.-Rt[i2a[ja]]), R0, cutoff_func) #Renv = get_env_neighs(Rt[ia], R0, cutoff_func) #if(MPIproc == 1) # Renv2, jl2 = get_env_neighs_j(Rt[ia], R0, cutoff_func) # jlist2 = [ i2a[jt[ia][jj]] for jj in jl2 ] #end #Renv, jlist = get_env_j(acetb_dct["julip_atoms"], R0, ia, cutoff_func) #if(MPIproc == 1) # for j1 in jlist # if j1 βˆ‰ jlist2 # println("ia: ",ia," ja: ",ja," j1: ",j1) # end # end # for j2 in jlist2 # if j2 βˆ‰ jlist # println("ia: ",ia," ja: ",ja," j2: ",j2) # end # end #end Renv = get_env(acetb_dct["julip_atoms"], R0, ia, cutoff_func) VV = Bondint_table(R0,Renv) # Set H and S E = sk2cart(SKH_list[isp], R0, VV[1:lnb], WriteAllow=WriteAllow) H[ix : iy] = vcat(E...) ES = sk2cart(SKH_list[isp], R0, VV[lnb+1:end], WriteAllow=WriteAllow) S[ix : iy] = vcat(ES...) end if(MPIproc == 1) if isa(stdout, Base.TTY) next!(prgres) end end end if(MPIproc == 1) flush(stdout) end end function get_list_str(str::Array{UInt8}, ln, stride) slen = Int64(ln) snames = [] nstr = String( copy(str[1:slen]) ) if ln == stride - 1 push!(snames,strip(nstr[1:ln-1])) else si = 1 sf = 0 for i = 1:ln sf += 1 if sf == stride elm = nstr[si:i-1] elm = strip(elm) push!(snames,elm) si = i + 1 sf = 0 end end end return snames end function get_specie_name(str::Array{UInt8}, ln, n) slen = Int64(ln / n) - 1 snames = [] for i = 1:n si = (i - 1) * slen + (i - 1) + i sf = i * slen - 1 + (i - 1) elm = String( copy(str[si:sf]) ) elm = strip(elm) push!(snames,elm) end return snames end function set_JuLIP_atoms(elm_names, natoms, pos, species, cell) atnums = [] #atmass = [] for i=1:natoms sym = Symbol(elm_names[species[i]]) #am = atomic_mass(sym) az = atomic_number(sym) push!(atnums,az) #push!(atmass,am) end return Atoms(; X = pos[:,1:natoms], Z = atnums, cell = cell, pbc = [true, true, true]) end function set_model(natoms, nspecies, coords::Array{Float64}, latvecs::Array{Float64}, tcellv::Array{Float64}, rcellv::Array{Float64}, origin::Array{Float64}, species::Array{Int32}, nshells::Array{Int32}, norbe::Array{Int32}, norba::Array{Int32}, maxns, maxno, maxs, maxo, toto, angshell::Array{Int32}, ishell::Array{Int32}, posshell::Array{Int32}, lstr, specienames::Array{UInt8}, cutoff, lfn, fnames::Array{UInt8}, MPIproc, stat_jl::Array{Int32}) if(MPIproc == 1) @info "β”Œβ”€β”€ ACEtb : Julia set_model function." end try global acetb_dct["natoms"] = natoms global acetb_dct["ntypes"] = nspecies pos = reshape(coords,3,:) ./ bohr2ang cell = reshape(latvecs,3,:) ./ bohr2ang tcells = reshape(tcellv,3,:) ./ bohr2ang rcells = reshape(rcellv,3,:) ./ bohr2ang global acetb_dct["latvecs"] = cell[:,:] global acetb_dct["tcellv"] = tcells[:,:] global acetb_dct["rcellv"] = rcells[:,:] global acetb_dct["origin"] = origin[:] global acetb_dct["norbe"] = norbe elm_names = get_specie_name(specienames, lstr, nspecies) global acetb_dct["elm_names"] = elm_names[:] at = set_JuLIP_atoms(elm_names, natoms, pos, species, cell) global acetb_dct["julip_atoms"] = at SKH_list = set_SK_orbitals(nspecies,nshells,angshell) global acetb_dct["SKH_list"] = SKH_list model_files = get_list_str(fnames, lfn, 200) global acetb_dct["model_files"] = model_files if(MPIproc == 1) @info "β”‚ Reading acetb.json file..." end filedata = read_json(model_files[1]) if(MPIproc == 1) @info "β”‚ Reading is done." end global acetb_dct["file_data"] = filedata cutoff_params = filedata["model"]["cutoff_params"] fit_params = filedata["model"]["fit_params"] Bpredict = true Bfit = false if haskey(filedata["model"], "predict") predict_setting = filedata["model"]["predict"] if predict_setting == 0 Bpredict = false else Bpredict = true end if haskey(filedata, "training_datasets") trdata = filedata["training_datasets"] end end if haskey(filedata["model"], "fit") fit_setting = filedata["model"]["fit"] if fit_setting == 0 Bfit = false else Bfit = true end end if Bpredict if Bfit if(MPIproc == 1) @info "β”‚ Fitting..." end Bint_table, cutf_func, train_dict = train_and_predict(trdata, elm_names, cutoff_params, fit_params; MPIproc=MPIproc) if(MPIproc == 1) @info "β”‚ Saving potential..." write_json(model_files[1], train_dict) end global Bondint_table = Bint_table global cutoff_func = cutf_func if(MPIproc == 1) @info "β”‚ Fitting is done." end else if(MPIproc == 1) @info "β”‚ Loading model..." end Bint_table, cutf_func = predict(filedata, cutoff_params, fit_params; MPIproc=MPIproc) global Bondint_table = Bint_table global cutoff_func = cutf_func if(MPIproc == 1) @info "β”‚ Model is loaded." end end else if(MPIproc == 1) @info "β”‚ This mode is test only. It will not use model predictions." @info "β”‚ Setting bond integral table..." end HSfile = filedata["HS_datasets"][1] if(MPIproc == 1) @info "β”‚ Reading saved H,S file:" HSfile end HSdata = h5read_SK(HSfile; get_HS=true, get_atoms=true, get_metadata=true, get_energies=true) global saveh5_HH = permutedims(HSdata[2][1], [3, 2, 1]) global saveh5_SS = permutedims(HSdata[2][2], [3, 2, 1]) global saveh5_satoms = HSdata[6] write_extxyz("saveh5_satoms.xyz", saveh5_satoms) if(MPIproc == 1) @info "β”‚ Setting H,S is done." end end global onsite_vals = filedata["onsite-terms"] stat_jl[1] = 0 catch stat_jl[1] = 1 for (exc, bt) in Base.catch_stack() if(MPIproc == 1) showerror(stdout, exc, bt) println() end end end if(MPIproc == 1) @info "└── ACEtb : Done in Julia module." end flush(stdout) end function ACE2tb_wrapper_predict_HS(model_ID, atoms; Ξ»=1e-3) @show model_ID dict_atoms = JuLIP.write_dict(atoms) open("structure.json", "w") do f write(f, JSON.json(dict_atoms)) end cmd = setenv(`$(joinpath(Sys.BINDIR, Base.julia_exename())) --project=$(homedir())/.julia/dev/ACE2tb compute.jl $(model_ID) $(pwd())/structure.json $(pwd())/onsite_HS.h5`, dir="$(homedir())/.julia/dev/ACE2tb/test") @show cmd run(cmd) H, S = h5open("onsite_HS.h5") do f read(f, "H"), read(f, "S") end println("Regularisation Ξ» = $Ξ»") return ia -> (reshape(H[:, :, ia], :), reshape(S[:, :, ia] + Ξ» * I, :)) end function model_predict(iatf, iatl, natoms, coords::Array{Float64}, latvecs::Array{Float64}, nspecies, nspecarr, species::Array{Int32}, nH, H::Array{Float64}, nS, S::Array{Float64}, nneigh::Array{Int32}, ineigh::Array{Int32}, ipair::Array{Int32}, i2a::Array{Int32}, cutoff, MPIproc, stat_jl::Array{Int32}) if(MPIproc == 1) @info "β”Œβ”€β”€ ACEtb : Julia model_predict function." end try pos = reshape(coords,3,:) ./ bohr2ang cell = reshape(latvecs,3,:) ./ bohr2ang cutoff /= bohr2ang elm_names = acetb_dct["elm_names"] #at = set_JuLIP_atoms(elm_names, natoms, pos, species, cell) SKH_list = acetb_dct["SKH_list"] model_files = acetb_dct["model_files"] filedata = acetb_dct["file_data"] predict_params = filedata["model"]["predict"] onsite_vals = filedata["onsite-terms"] norbe = acetb_dct["norbe"] if onsite_vals isa AbstractDict for isp = 1:nspecies sp = elm_names[species[isp]] if onsite_vals[sp] isa AbstractVector MPIproc == 1 && @info "β”‚ Using $(norbe[isp]) element diagonal onsite approximation for species $sp" @assert length(onsite_vals[sp]) == norbe[isp] onsite_HS = coords -> (ia -> (reshape(diagm(Float64.(onsite_vals[sp])), :), reshape(1.0*I(norbe[isp]) |> Matrix, :))) elseif onsite_vals[sp] isa AbstractDict MPIproc == 1 && @info "β”‚ Using $(norbe[isp]) Γ— $(norbe[isp]) onsite block for species $sp" onsite_HS = coords -> (ia -> (vcat(onsite_vals[sp]["H"]...), vcat(onsite_vals[sp]["S"]...))) else error("Invalid onsite specification for species $sp: $(onsite_vals[sp])") end end elseif onsite_vals isa AbstractString onsite_HS = coords -> ACE2tb_wrapper_predict_HS(onsite_vals, coords) else error("Invalid onsite specification $(onsite_vals)") end MPIproc == 1 && @info "β”‚ Calculating bond integrals..." if predict_params == 0 buildHS_test(H, S, iatf, iatl, natoms, pos, species, nneigh, ineigh, ipair, norbe, cutoff, cell, saveh5_HH, saveh5_SS, saveh5_satoms; MPIproc=MPIproc, onsite_HS=onsite_HS) elseif predict_params == -1 buildHS_dftb_neigh(SKH_list, H, S, iatf, iatl, norbe, onsite_terms, Bondint_table, cutoff_func, cutoff; MPIproc=1) else buildHS(SKH_list, H, S, iatf, iatl, natoms, pos, cell, species, nneigh, ineigh, ipair, i2a, norbe, onsite_HS, Bondint_table, cutoff_func, cutoff; MPIproc=MPIproc) end stat_jl[1] = 0 catch stat_jl[1] = 1 for (exc, bt) in Base.catch_stack() if(MPIproc == 1) showerror(stdout, exc, bt) println() end end end if(MPIproc == 1) @info "└── ACEtb : Done in Julia module." end flush(stdout) end function acetb_greetings() ctx = Pkg.Operations.Context() acetb_version = string(ctx.env.manifest[ctx.env.project.deps["ACEtb"]].version) acetb_hash = split(string(ctx.env.project.deps["ACEtb"]),"-")[1] if isa(stdout, Base.TTY) println(" \033[31m\033[1m ___\033[38;5;208m ___\033[32m ___\033[34m _____\033[38;5;54m\033[1m _ \033[0m \n"* " \033[31m\033[1m |_ \033[38;5;208m| _\033[32m| __\033[34m|_ _\033[38;5;54m\033[1m| |_ \033[0m\033[38;5;141m\033[1mVersion\033[0m \n"* " \033[31m\033[1m | . \033[38;5;208m| |_\033[32m| __|\033[34m | | \033[38;5;54m\033[1m| . | \033[0m\033[38;5;200m\033[1mv",acetb_version,"\033[0m \n"* " \033[31m\033[1m |___\033[38;5;208m|___\033[32m|___|\033[34m |__|\033[38;5;54m\033[1m|___| \033[0m\033[1m[",acetb_hash,"]\033[0m\n") else println(" ___ ___ ___ _____ _ \n"* " |_ | _| __|_ _| |_ Version\n"* " | . | |_| __| | | | . | v",acetb_version," \n"* " |___|___|___| |__||___| [",acetb_hash,"]\n") end println(" β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”\n"* " β”‚ Developers: β”‚\n"* " β”œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€\n"* " β”‚ GeneviΓ¨ve Dusson β”‚\n"* " β”‚ Berk Onat β”‚\n"* " β”‚ Reinhard Maurer β”‚\n"* " β”‚ Christoph Ortner β”‚\n"* " β”‚ James R. Kermode β”‚\n"* " β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜\n") println("Julia threads: ",Threads.nthreads()) flush(stdout) end end # End of module
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1.769408
11,696
function isvalid(subject::Dict{String, String}, display = false) if display println("isvalid: $subject") end typeof(iban(subject["value"])) == Dict{String,String} end @testset "iban_random [one]" begin @test iban_random( CountryCode="BR" )["CountryCode"] == "BR" @test iban_random( CountryCode="BR", BankCode="18731592" )["BankCode"] == "18731592" @test iban_random( CountryCode="BR", BankCode="18731592", BranchCode = "89800" )["BranchCode"] == "89800" @test iban_random( CountryCode="BR", BankCode="18731592", BranchCode = "89800", AccountNumber = "6427460610" )["AccountNumber"] == "6427460610" @test iban_random( CountryCode="BR", BankCode="18731592", BranchCode = "89800", AccountNumber = "6427460610", AccountType = "X" )["AccountType"] == "X" @test iban_random( CountryCode="BR", BankCode="18731592", BranchCode = "89800", AccountNumber = "6427460610", AccountType = "X", OwnerAccountType = "m", )["OwnerAccountType"] == "m" end @testset "iban_random [all]" begin @test isvalid(iban_random()) == true @test isvalid(iban_random(CountryCode="BR", BankCode="18731592")) == true # all supported country codes map(cc -> (@test isvalid(iban_random(CountryCode=cc)) == true), supported_countries() ) end
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2.159544
702
## cauchy function cauchycircleS(cfs::AbstractVector,z::Number,s::Bool) ret=zero(Complex{Float64}) if s zm = one(Complex{Float64}) #odd coefficients are pos @simd for k=1:2:length(cfs) @inbounds ret += cfs[k]*zm zm *= z end else z=1./z zm = z #even coefficients are neg @simd for k=2:2:length(cfs) @inbounds ret -= cfs[k]*zm zm *= z end end ret end function stieltjes{DD<:Circle}(sp::Laurent{DD},f::AbstractVector,z,s::Bool) d=domain(sp) if !d.orientation return -stieltjes(reverseorientation(Fun(f,sp)),z,!s) end @assert in(z,d) -2Ο€*im*cauchycircleS(f,mappoint(d,Circle(),z),s) end function stieltjes{DD<:Circle}(sp::Laurent{DD},f::AbstractVector,z::Number) d=domain(sp) if !d.orientation return -stieltjes(reverseorientation(Fun(f,sp)),z) end z=mappoint(d,Circle(),z) -2Ο€*im*cauchycircleS(f,z,abs(z) < 1) end stieltjes{DD<:Circle}(sp::Laurent{DD},f,z::Vector)=[stieltjes(sp,f,zk) for zk in z] stieltjes{DD<:Circle}(sp::Laurent{DD},f,z::Matrix)=reshape(stieltjes(sp,f,vec(z)),size(z,1),size(z,2)) stieltjes{DD<:Circle}(sp::Fourier{DD},f,z,s...)=stieltjes(Laurent(domain(sp)),coefficients(f,sp,Laurent(domain(sp))),z,s...) # we implement cauchy Β±1 as canonical hilbert{DD<:Circle}(sp::Laurent{DD},f,z)=(stieltjes(sp,f,z,true)+stieltjes(sp,f,z,false))/(-2Ο€) ## stieltjesintegral and logkernel function stieltjesintegral{DD<:Circle}(sp::Laurent{DD},f,z::Number,s...) d=domain(sp) @assert d==Circle() #TODO: radius ΞΆ=Fun(d) r=stieltjes(integrate(f-f[2]/ΞΆ),z,s...) abs(z)<1?r:r+2Ο€*im*f[2]*log(z) end stieltjesintegral{DD<:Circle}(sp::Fourier{DD},f,z::Number,s...)=stieltjesintegral(Fun(Fun(f,sp),Laurent),z,s...) function logkernel{DD<:Circle}(sp::Fourier{DD},g,z::Number) d=domain(sp) c,r=d.center,d.radius z=z-c if abs(z) ≀r ret=2r*log(r)*g[1] for j=2:2:length(g) k=div(j,2) ret+=-g[j]*sin(k*angle(z))*abs(z)^k/(k*r^(k-1)) end for j=3:2:length(g) k=div(j,2) ret+=-g[j]*cos(k*angle(z))*abs(z)^k/(k*r^(k-1)) end ret else ret=2r*logabs(z)*g[1] for j=2:2:length(g) k=div(j,2) ret+=-g[j]*sin(k*angle(z))*r^(k+1)/(k*abs(z)^k) end for j=3:2:length(g) k=div(j,2) ret+=-g[j]*cos(k*angle(z))*r^(k+1)/(k*abs(z)^k) end ret end end logkernel{DD<:Circle}(sp::Fourier{DD},g,z::Vector) = promote_type(eltype(g),eltype(z))[logkernel(sp,g,zk) for zk in z] logkernel{DD<:Circle}(sp::Fourier{DD},g,z::Matrix) = reshape(promote_type(eltype(g),eltype(z))[logkernel(sp,g,zk) for zk in z],size(z)) logkernel{DD<:Circle}(sp::Laurent{DD},g,z)=logkernel(Fun(Fun(g,sp),Fourier),z)
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using VegaStreams using Test @testset "VegaStreams.jl" begin vls = vegastream() for row in enumerate(randn(100)) sleep(0.01) push!(vls, row) end vls = vegastream(:point) for (x, y) in enumerate(randn(100)) sleep(0.01) push!(vls, (x=x, y=y)) end end
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function read_gms_file(filename::AbstractString) println("Reading $(filename) ...") filepath = joinpath(Pkg.dir("toJuMP"),".gms","") filepath = string(filepath,filename,".gms") if isfile(filepath) f = open(filepath, "r") elseif isfile(filename) f = open(filename, "r") else error("No gms file detected.") end #= ----------------------- Line Header Space ------------------ Example :: 4stufen.gms Unkown :: $offlisting $if set nostart $goto modeldef $label modeldef $if not set MINLP $set MINLP MINLP Model Type * -> comment Null -> emptyline Variables -> All Variable List, separated by "," Positive Variable -> Non-negative variables list, separated by "," (assert) Binary Variable -> Binary variables list, separated by "," (assert) Equations -> Equations symbols, separated by "," EquSymbols.. -> Equation content VarSymbols.lo -> Lower Bound VarSymbols.l -> Upper Bound ?? Model m / all / -> ?? m.limrow=0 m. ------------------------------------------------------------ =# # Null Trackers skip = 0 comment = 0 # Main data structure initialization gms = oneProblem() # -------------------------- Start Reading -------------------------- # for l in eachline(f) sl = lstrip(l, ' ') if isempty(sl) || length(sl) == 1 # Skip empty line skip += 1 elseif sl[1] == "*" comment += 1 else slt = split(sl, r" |,|\.") slt = [slt[i] for i in 1:length(slt) if length(slt[i]) > 0] if slt[1] in GMS_BLOCK_HEADER read_block(f, gms, l) # Reading a general block elseif slt[1] in gms.rows #ismatch(r"e\d", sl[1]) read_equation(f, gms, l) # Reading an equation block elseif slt[1] in gms.cols #ismatch(r"\w\.\w", sl[1]) read_bounds(f, gms, l) # Reading a bound block elseif slt[1] == "\$" read_command(f, gms, l) # Reading a logical command line elseif slt[1] == "Model" read_model(f, gms, sl) # Reading a model command elseif slt[1] == "Solve" read_solve(f, gms, sl) # Reading a solve command line else # println("[Unkown]DUMPING >> ", l) end end end close(f) return gms end function read_block(file::IOStream, gms::oneProblem, lInit::AbstractString; kwargs...) sl = split(get_one_line(file, one_line=lInit), r" |,") sl = [sl[i] for i in 1:length(sl) if !isempty(sl[i])] # Eliminate empty entries blockIdentifier = sl[1] # This should always be true for i in 1:length(sl) if blockIdentifier == "Variables" && (i > 1) push!(gms.cols, sl[i]) elseif blockIdentifier == "Positive" && (i > 2) gms.colsType[sl[i]] = "Positive" elseif blockIdentifier == "Negative" && (i > 2) gms.colsType[sl[i]] = "Negative" elseif blockIdentifier == "Binary" && (i > 2) gms.colsType[sl[i]] = "Binary" elseif blockIdentifier == "Semicont" error("Currently don't support semi continous variables parsing.") elseif blockIdentifier == "Integer" && (i > 2) gms.colsType[sl[i]] = "Integer" elseif blockIdentifier == "Equations" && (i > 1) push!(gms.rows, sl[i]) end end return end function read_equation(file::IOStream, gms::oneProblem, lInit::AbstractString; kwargs...) #= Example Equation #Single Line e1.. objvar - x145 - x146 - x147 - x148 - x149 - x150 =E= 3271.22725820856; # Multi Line e38.. 109.0495*x1 + 100.462*x2 + 115.2937*x3 + 2.860271*x4 + 15.1404*x5 + x44 - x556 =E= 101.1304; =# lhs = "" rhs = "" sense = "" eN = string(strip(split(lInit, r" |,")[1], ['.', '\r', '\n'])) eS = split(eN, '.') if eN in gms.rows one_l = get_one_line(file, one_line=lInit) one_l = replace(one_l, "$(eN)..", "") if contains(one_l, "=E=") gms.rowsSense[eN] = "E" elseif contains(one_l, "=L=") gms.rowsSense[eN] = "L" elseif contains(one_l, "=G=") gms.rowsSense[eN] = "G" elseif contains(one_l, "=N=") gms.rowsSense[eN] = "N" else error("NO sense detected in equation. $(one_l)") end sl = split(one_l, "=$(gms.rowsSense[eN])=", keep=false) gms.rowsLHS[eN] = replace(sl[1], " ", "") gms.rowsRHS[eN] = Float64(parse(sl[2])) elseif length(eS) == 2 && eS[2] == "m" @assert eS[1] in gms.rows one_l = get_one_line(file, one_line=lInit) mVal = parse(split(one_l, "=", keep=false)[2]) gms.m[eS[1]] = mVal else error("Non-indexed constraint detected. \n$(lInit)") end return end function read_bounds(file::IOStream, gms::oneProblem, lInit::AbstractString; kwargs...) #= .lo lower bound .l level or primal value .up upper bound .m marginal or dual value =# @assert rstrip(strip(lInit, ['\n','\r']), ' ')[end] == ';' # Assumption :: alwasy one line all_segs = split(lInit, ';', keep=false) all_segs = [i for i in all_segs if !isempty(strip(i,' '))] for lseg in all_segs lseg = strip(lseg, [';', '\n', ' ', '\r']) sl = split(lseg, "=") sl = [sl[i] for i in 1:length(sl) if !isempty(sl[i])] # There shouldn't be any space to begin with sl[1] = strip(sl[1], [';', '\n', ' ', '\r']) sl[2] = strip(sl[2], [';', '\n', ' ', '\r']) @assert ismatch(r"\w.\w", sl[1]) boundVal = Float64(parse(sl[end])) var = split(sl[1],".")[1] attr = split(sl[1],".")[2] if attr == "lo" gms.lb[var] = boundVal elseif attr == "l" gms.l[var] = boundVal elseif attr == "fx" gms.fx[var] = boundVal elseif attr == "up" gms.ub[var] = boundVal elseif attr == "m" gms.m[var] = boundVal elseif attr == "scale" gms.scale[var] = boundVal elseif attr == "prior" gms.prior[var] = boundVal elseif attr == "stage" gms.prior[var] = boundVal else error("Unknown variable attribute. Consult gams hand-book for definition and report this issue.") end end return end function read_model(file::IOStream, gms::oneProblem, lInit::AbstractString; kwargs...) # Assume this will always be one line @assert strip(lInit, ['\n','\r'])[end] == ';' sl = split(strip(lInit,[';','\n','\r']), r" |,") @assert sl[1] == "Model" # Already did outside # Not sure if the printlnrmation stored here is useful or not. for i in 1:length(sl) if sl[i] == "Model" gms.modelSymbol = sl[i+1] end end return end function read_solve(file::IOStream, gms::oneProblem, lInit::AbstractString; kwargs...) @assert strip(lInit, ['\n','\r'])[end] == ';' sl = split(strip(lInit, [';','\n','\r']), r" |,") @assert sl[1] == "Solve" for i in 1:length(sl) if sl[i] in PROBTYPE gms.modelType = sl[i] elseif sl[i] == "maximizing" gms.objSense = sl[i] elseif sl[i] == "minimizing" gms.objSense = sl[i] elseif sl[i] in gms.cols gms.objective = sl[i] end end end function gms2jump(gmsPath::AbstractString; mode::AbstractString="index", ending="m=m", quadNL::Bool=false, loopifpossible::Bool=true, outdir::AbstractString="") probName = replace(splitdir(gmsPath)[end],".gms", "") gms = read_gms_file(gmsPath) write_julia_script(probName, gms, mode, loopifpossible=loopifpossible, quadNL=quadNL, outdir=outdir) return end
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function place_first_grid_order!(current, ticker, config, open_orders, bot_path, client, usr) @info("NEW order found!") id_str = open_orders["NEW"]["trigger"] * "--" * string(now()) quant = ceil(config["order_volume"] / current, digits=config["precision"]) if config["precision"] < 1 quant = string(Int(quant)) end order = try client.order_limit_buy( symbol=config["symbol"], quantity=quant, price=ticker); catch @info("order_limit_buy failed") nothing end if order !== nothing open_orders["BUY"]["EXTRA-0_" * id_str] = order open_orders["NEW"] = Dict() open(joinpath(bot_path, "open_orders.json"), "w") do f JSON.print(f, open_orders, 4) end p = Dict() p["ticker"] = ticker create_notification("new cycle", config, usr, params = p) end return open_orders end export place_first_grid_order! function place_buy_order_command(k, v, id_str, config, open_orders, closed_orders, bot_path, client, usr, fees) quant = round(v["origQty"], digits=config["precision"]) new_id = k if v["price"] != "market" new_price = Pinguu.price2string(parse(Float64, v["price"]), config["sell_precision"]) order = try client.order_limit_buy( symbol= config["symbol"], quantity=quant, price=new_price); catch nothing end else order = try client.order_market_buy( symbol= config["symbol"], quantity=quant); catch nothing end end if order !== nothing order["time"] = string(now()) open_orders["BUY"][new_id] = order else open_orders["BUY"][new_id] = Dict() open_orders["BUY"][new_id]["origQty"] = quant open_orders["BUY"][new_id]["price"] = new_price open_orders["BUY"][new_id]["status"] = "place order" open_orders["BUY"][new_id]["time"] = string(now()) end open(joinpath(bot_path, "open_orders.json"), "w") do f JSON.print(f, open_orders, 4) end open(joinpath(bot_path, "trigger.json"), "w") do f JSON.print(f, Dict(), 4) end end export place_buy_order_command function buy_executed(tmp, k, v, id_str, config, open_orders, closed_orders, bot_path, client, usr, fees) # ## Cancel order, if not done yet if tmp["status"] != client.ORDER_STATUS_FILLED && tmp["status"] != client.ORDER_STATUS_CANCELED result = try client.cancel_order( symbol=config["symbol"], orderId=tmp["orderId"]) catch nothing end if result == nothing return nothing end end extra_iteration = parse(Int64, split(split(k, "_")[1], "-")[2]) # ## Move to closed_orders !(id_str in keys(closed_orders)) ? closed_orders[id_str] = Dict() : "" tmp["time"] = string(now()) closed_orders[id_str][split(k, "_")[1]] = deepcopy(tmp); open(joinpath(bot_path, "closed_orders.json"), "w") do f JSON.print(f, closed_orders, 4) end # ## Remove from open_orders delete!(open_orders["BUY"], k) open(joinpath(bot_path, "open_orders.json"), "w") do f JSON.print(f, open_orders, 4) end # ## Place EXTRA new_id = "EXTRA-" * string(extra_iteration + 1) * "_" * id_str last_price = parse(Float64, tmp["price"]) == 0.0 ? v["price"] : tmp["price"] new_price = Pinguu.price2string(parse(Float64, last_price) * (1 - config["extra_order_step"]), config["sell_precision"], round_up=true) quant = floor(config["order_volume"] * (config["extra_order_martingale"])^(extra_iteration + 1) / parse(Float64, new_price), digits=config["precision"]) if extra_iteration < parse(Float64, config["extra_order_count"]) open_orders["BUY"][new_id] = Dict() open_orders["BUY"][new_id]["origQty"] = quant open_orders["BUY"][new_id]["price"] = new_price open_orders["BUY"][new_id]["status"] = "place order" open_orders["BUY"][new_id]["time"] = string(now()) open(joinpath(bot_path, "open_orders.json"), "w") do f JSON.print(f, open_orders, 4) end open(joinpath(bot_path, "trigger.json"), "w") do f JSON.print(f, Dict(), 4) end end # ## Cancel current take profit orders if length(open_orders["SELL"]) > 0 for (k2, v2) in open_orders["SELL"] if split(k2, "_")[end] == id_str tmp_sell = try client.get_order( symbol=config["symbol"], orderId=v2["orderId"]) catch try sleep(0.5) client.get_order( symbol=config["symbol"], orderId=v2["orderId"]) catch nothing end end if !(tmp_sell["status"] in [client.ORDER_STATUS_CANCELED, client.ORDER_STATUS_FILLED]) || tmp_sell == nothing sleep(0.5) tmp_sell = try client.cancel_order( symbol=config["symbol"], orderId=v2["orderId"]) catch nothing end end if tmp_sell !== nothing if parse(Float64, v2["executedQty"]) > 0 random_id_str = "SELL-" * lpad(rand(1:1:10000), 5, "0") while haskey(closed_orders[id_str], random_id_str) random_id_str = "SELL-" * lpad(rand(1:1:10000), 5, "0") end closed_orders[id_str][random_id_str] = result open(joinpath(bot_path, "closed_orders.json"), "w") do f JSON.print(f, closed_orders, 4) end end delete!(open_orders["SELL"], k2) else # ## Cancel failed delete!(open_orders["SELL"], k2) v2["status"] = "cancel order" # ## Give different ID to be able to create a new "main" order later random_id_str = "SELL-" * lpad(rand(1:1:10000), 5, "0") open_orders[random_id_str] = v2 end end end end # ## Place command for take profit order open_orders["SELL"]["SELL_" * id_str] = Dict() open_orders["SELL"]["SELL_" * id_str]["status"] = "place order" open_orders["SELL"]["SELL_" * id_str]["id_str"] = id_str open(joinpath(bot_path, "open_orders.json"), "w") do f JSON.print(f, open_orders, 4) end open(joinpath(bot_path, "trigger.json"), "w") do f JSON.print(f, Dict(), 4) end # ## Create notification p = Dict() p["extra_iteration"] = extra_iteration p["executedQty"] = tmp["executedQty"] create_notification("buy exec", config, usr, params = p) if extra_iteration >= parse(Float64, config["extra_order_count"]) create_notification("no volume", config, usr) end end export buy_executed function cancel_buy(k, v, id_str, config, open_orders, closed_orders, bot_path, client) @info("Cancel Order") if haskey(v, "orderId") result = try client.cancel_order( symbol=config["symbol"], orderId=v["orderId"]) catch nothing end if result !== nothing delete!(open_orders["BUY"], k) open(joinpath(bot_path, "open_orders.json"), "w") do f JSON.print(f, open_orders, 4) end if parse(Float64, result["executedQty"]) > 0 random_id_str = "EXTRA-" * lpad(rand(100:1:10000), 5, "0") while haskey(closed_orders[id_str], random_id_str) random_id_str = "EXTRA-" * lpad(rand(100:1:10000), 5, "0") end closed_orders[id_str][random_id_str] = result open(joinpath(bot_path, "closed_orders.json"), "w") do f JSON.print(f, closed_orders, 4) end end end else @info("Order has not been placed") # ## Order not placed, yet delete!(open_orders["BUY"], k) open(joinpath(bot_path, "open_orders.json"), "w") do f JSON.print(f, open_orders, 4) end end open(joinpath(bot_path, "trigger.json"), "w") do f JSON.print(f, Dict(), 4) end end export cancel_buy function buy_now(tmp, k, v, id_str, config, open_orders, closed_orders, bot_path, client, usr, fees) extra_iteration = parse(Int64, split(split(k, "_")[1], "-")[2]) if extra_iteration < parse(Float64, config["extra_order_count"]) # # Cancel current BUY order if tmp["status"] != client.ORDER_STATUS_CANCELED result = try client.cancel_order( symbol=config["symbol"], orderId=v["orderId"]) catch nothing end if result == nothing return nothing end else result = tmp end # # Check if that order was partially filled -> if so: move cancelled order to closed_orders if parse(Float64, result["executedQty"]) > 0 result["time"] = string(now()) !haskey(closed_orders, id_str) ? closed_orders[id_str] = Dict() : "" closed_orders[id_str][split(k, "_")[1]] = result extra_iteration += 1 open(joinpath(bot_path, "closed_orders.json"), "w") do f JSON.print(f, closed_orders, 4) end end # # Remove from open_orders delete!(open_orders["BUY"], k) # # Get new order details ticker = client.get_ticker(symbol=config["symbol"])["lastPrice"] quant = floor(parse(Float64, v["origQty"]), digits=config["precision"]) new_id = "EXTRA-" * string(extra_iteration) * "_" * id_str # # Place new order order = try client.order_limit_buy( symbol=config["symbol"], quantity=quant, price=ticker) catch nothing end if order !== nothing order["time"] = string(now()) # if parse(Float64, order["price"]) == 0 # order["price"] = Pinguu.price2string(parse(Float64, order["cummulativeQuoteQty"]) / parse(Float64, order["origQty"]), config["sell_precision"]) # end open_orders["BUY"][new_id] = order else open_orders["BUY"][new_id] = Dict() open_orders["BUY"][new_id]["origQty"] = quant open_orders["BUY"][new_id]["price"] = ticker open_orders["BUY"][new_id]["status"] = "place order" open_orders["BUY"][new_id]["time"] = string(now()) end open(joinpath(bot_path, "open_orders.json"), "w") do f JSON.print(f, open_orders, 4) end end open(joinpath(bot_path, "trigger.json"), "w") do f JSON.print(f, Dict(), 4) end end export buy_now function partially_order(tmp, k, v, id_str, config, open_orders, closed_orders, bot_path, client, usr, fees, minutes) if v["partial_time"] < string(now() - Minute(minutes)) result = try client.cancel_order( symbol=config["symbol"], orderId=tmp["orderId"]) catch nothing end if result !== nothing tmp["partial_time"] = v["partial_time"] v = deepcopy(tmp) v["status"] = "continue" open_orders["BUY"][k] = v open(joinpath(bot_path, "open_orders.json"), "w") do f JSON.print(f, open_orders, 4) end p = Dict() p["extra_iteration"] = extra_iteration p["executedQty"] = tmp["executedQty"] create_notification("partial buy exec", config, usr, params = p) end if tmp["status"] == client.ORDER_STATUS_CANCELED v["status"] = "continue" open_orders["BUY"][k] = v open(joinpath(bot_path, "open_orders.json"), "w") do f JSON.print(f, open_orders, 4) end end end end export partially_order function first_order_takes_too_long(tmp, k, v, id_str, config, open_orders, closed_orders, bot_path, client, usr, fees, minutes) t = DateTime(split(id_str, "--")[end]) if now() - t > Minute(minutes) result = try client.cancel_order( symbol=config["symbol"], orderId=v["orderId"]) catch nothing end if result !== nothing delete!(open_orders["BUY"], k) open(joinpath(bot_path, "open_orders.json"), "w") do f JSON.print(f, open_orders, 4) end Pinguu.create_notification("cycle closed", config, usr) end end end export first_order_takes_too_long function add_fees_to_closed_order(order, config, bot_path, client) for t in order["trades"] sleep(0.5) commission = parse(Float64, t["commission"]) commission_coin = parse(Float64, t["commission"]) if commission != 0 from = split(string(unix2datetime(t["time"]/1000)), ".")[1] to = split(string(unix2datetime(t["time"]/1000) + Minute(1)), ".")[1] # ## for commission if t["commissionAsset"] == config["farm_coin"] commission *= parse(Float64, t["price"]) elseif t["commissionAsset"] != config["base_coin"] translator = string(t["commissionAsset"], config["base_coin"]) klines = client.get_historical_klines(translator, client.KLINE_INTERVAL_1MINUTE, from, to) tt = Pinguu.klines2table(klines, time_warp=0) commission *= tt[1].close tmp_price_for_conversion = tt[1].close end # ## for commission_coin if t["commissionAsset"] != config["farm_coin"] translator = string(t["commissionAsset"], config["farm_coin"]) # Translator exists klines = try client.get_historical_klines(translator, client.KLINE_INTERVAL_1MINUTE, from, to) catch false end if klines == false # Translator exists in other order translator = string(config["farm_coin"], t["commissionAsset"]) klines = try client.get_historical_klines(translator, client.KLINE_INTERVAL_1MINUTE, from, to) catch false end else tt = Pinguu.klines2table(klines, time_warp=0) weightedAvgPrice = 1/tt[1].close end if klines == false # Translator does not exist e.g. DOGEBNB weightedAvgPrice = tmp_price_for_conversion / parse(Float64, t["price"]) else tt = Pinguu.klines2table(klines, time_warp=0) weightedAvgPrice = 1/tt[1].close end if typeof(weightedAvgPrice) == String weightedAvgPrice = parse(Float64, weightedAvgPrice) end commission_coin *= weightedAvgPrice end t["com"] = commission t["com_coin"] = commission_coin else t["com"] = 0 t["com_coin"] = 0 end end return order end export add_fees_to_closed_order function check_ongoing_closed(id_str, config, closed_orders, bot_path, client) store = false for (id, order) in closed_orders[id_str] if !haskey(order, "trades") trades = client.get_my_trades(orderId=order["orderId"], symbol=order["symbol"]) order["trades"] = trades order = try add_fees_to_closed_order(order, config, bot_path, client) catch @info("Getting fees failed.") return end store = true end end if store open(joinpath(bot_path, "closed_orders.json"), "w") do f JSON.print(f, closed_orders, 4) end end end export check_ongoing_closed
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220, 220, 220, 611, 3650, 198, 220, 220, 220, 220, 220, 220, 220, 1280, 7, 22179, 6978, 7, 13645, 62, 6978, 11, 366, 20225, 62, 6361, 13, 17752, 12340, 366, 86, 4943, 466, 277, 198, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 19449, 13, 4798, 7, 69, 11, 4838, 62, 6361, 11, 604, 8, 198, 220, 220, 220, 220, 220, 220, 220, 886, 198, 220, 220, 220, 886, 198, 437, 198, 39344, 2198, 62, 25162, 278, 62, 20225, 628, 198 ]
1.946373
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""" ``` type AltPolicy ``` Type defining an alternative policy rule. ### Fields - `key::Symbol`: alternative policy identifier - `eqcond::Function`: a version of `DSGE.eqcond` which computes the equilibrium condition matrices under the alternative policy. Like `eqcond`, it should take in one argument of type `AbstractModel` and return the `Ξ“0`, `Ξ“1`, `C`, `Ξ¨`, and `Ξ ` matrices. - `solve::Function`: a version of `DSGE.solve` which solves the model under the alternative policy. Like `DSGE.solve`, it should take in one argument of type `AbstractModel` and return the `TTT`, `RRR`, and `CCC` matrices. - `forecast_init::Function`: a function that initializes forecasts under the alternative policy rule. Specifically, it accepts a model, an `nshocks` x `n_forecast_periods` matrix of shocks to be applied in the forecast, and a vector of initial states for the forecast. It must return a new matrix of shocks and a new initial state vector. If no adjustments to shocks or initial state vectors are necessary under the policy rule, this field may be omitted. - `color::Colorant`: color to plot this alternative policy in. Defaults to blue. - `linestyle::Symbol`: line style for forecast plots under this alternative policy. See options from `Plots.jl`. Defaults to `:solid`. """ type AltPolicy key::Symbol eqcond::Function solve::Function forecast_init::Function color::Colorant linestyle::Symbol end function AltPolicy(key::Symbol, eqcond_fcn::Function, solve_fcn::Function; forecast_init::Function = identity, color::Colorant = RGB(0., 0., 1.), linestyle::Symbol = :solid) AltPolicy(key, eqcond_fcn, solve_fcn, forecast_init, color, linestyle) end Base.string(a::AltPolicy) = string(a.key)
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cd(@__DIR__) using Pkg Pkg.activate(@__DIR__) # Set Python executable to current and re-build PyCall if necessary ENV["PYTHON"] = Sys.which("python") try Pkg.build("PyCall") catch e if !isa(e, Pkg.Types.PkgError) throw(e) end end # Precompile everything Pkg.API.precompile() # Use packages # using SpineInterface # SpineOpt uses SpineInterface anyway hence commented using SpineOpt using Dates # For debugging with the time slice tools using CSV # Because is useful sometimes using DataFrames using GEPPR # My GEP model to check the results, can get rid of at end using JuMP using Plots using AxisArrays using DataStructures using JSON using PyCall # Useful vars dataPath = abspath(@__DIR__, "data") spineitemsPath = joinpath( @__DIR__, "data", "case_study_b2", ".spinetoolbox", "items" ) GEPPRDataPath = abspath(dataPath, "GEPPR_input_data")
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nsamples, nchains, nchainsatone = 200001, 16, 1 Tmax = 2.5 addprocs(nchains) @info "workers are $(workers())" @everywhere any(pwd() .== LOAD_PATH) || push!(LOAD_PATH, pwd()) @everywhere using Distributed @everywhere import MCMC_Driver ## run McMC @time MCMC_Driver.main(opt, d, Tmax=Tmax, nsamples=nsamples, nchains=nchains, nchainsatone=nchainsatone) rmprocs(workers())
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x = [1.0 3.72e-19 0.00124827 6.89e-20 0.000302687; 0.999 9.37e-5 0.021975 0.000202742 0.0059907; 0.998 0.000188043 0.0240664 0.000249413 0.00676533; 0.997 0.000280359 0.0255829 0.000284137 0.00730148; 0.996 0.000375935 0.0267894 0.000313538 0.00776902; 0.995 0.000471427 0.0277863 0.00033875 0.00814893; 0.994 0.000567482 0.0287001 0.000364133 0.00850842; 0.993 0.000657252 0.0294574 0.00038607 0.00881441; 0.992 0.000752873 0.0301397 0.000408188 0.00909966; 0.991 0.000846283 0.0307407 0.000429906 0.00936091; 0.99 0.000942163 0.0313513 0.000450701 0.00959576; 0.989 0.00103629 0.0318999 0.000470316 0.00982234; 0.988 0.00113203 0.0324625 0.000489532 0.0100369; 0.987 0.00122773 0.0329567 0.000505444 0.0102623; 0.986 0.00131821 0.0334565 0.000523783 0.0104666; 0.985 0.00140661 0.0339376 0.000539904 0.01066; 0.984 0.00149244 0.034404 0.000556449 0.01085; 0.983 0.00158394 0.0348485 0.000572454 0.0110281; 0.982 0.00167742 0.0352564 0.00058828 0.0112065; 0.981 0.00177039 0.0356551 0.000603647 0.0113771; 0.98 0.00185793 0.0360538 0.000619117 0.0115431; 0.979 0.00195129 0.0364368 0.000633334 0.0117095; 0.978 0.00204573 0.0368142 0.000647966 0.0118651; 0.977 0.00213777 0.0371811 0.00066223 0.012026; 0.976 0.00222552 0.0375439 0.000676459 0.0121798; 0.975 0.00231716 0.0378828 0.000690862 0.0123308; 0.974 0.00241777 0.0381977 0.000704774 0.0124744; 0.973 0.00251057 0.0385258 0.000718623 0.0126127; 0.972 0.00260381 0.0388405 0.00073256 0.0127574; 0.971 0.00269342 0.0391768 0.000745919 0.012894; 0.97 0.00278951 0.0394771 0.00075933 0.0130366; 0.969 0.0028874 0.0397894 0.000774001 0.0131615; 0.968 0.00298291 0.0400657 0.000787949 0.0132864; 0.967 0.00306899 0.0403509 0.000801402 0.0134082; 0.966 0.00316129 0.0406593 0.000814029 0.0135368; 0.965 0.0032546 0.0409338 0.000827307 0.0136614; 0.964 0.00334883 0.0412121 0.000840839 0.0137847; 0.963 0.00344062 0.0414715 0.000853285 0.0139116; 0.962 0.00352747 0.041733 0.000865992 0.0140421; 0.961 0.00362503 0.0420045 0.000878152 0.0141627; 0.96 0.00371367 0.0422741 0.000891131 0.0142804; 0.959 0.00381083 0.0425311 0.000904478 0.0143951; 0.958 0.00390654 0.0427421 0.000916289 0.0145088; 0.957 0.00400001 0.0430091 0.000929041 0.014625; 0.956 0.00409551 0.0432567 0.000941844 0.0147402; 0.955 0.0041875 0.0435116 0.000954778 0.0148569; 0.954 0.00428007 0.0437421 0.000966663 0.0149588; 0.953 0.00437401 0.0439716 0.00097858 0.0150658; 0.952 0.00446909 0.0442029 0.000990899 0.0151731; 0.951 0.00455832 0.0444385 0.00100301 0.0152823; 0.95 0.00465346 0.0446483 0.001015 0.0153929; 0.949 0.00474747 0.0448879 0.00102672 0.0155026; 0.948 0.00484083 0.0451149 0.00103866 0.0156067; 0.947 0.00493377 0.0453335 0.00105091 0.015713; 0.946 0.00502778 0.0455505 0.0010625 0.0158157; 0.945 0.00512017 0.0457613 0.00107577 0.0159204; 0.944 0.00520837 0.0459837 0.00108795 0.0160205; 0.943 0.00530477 0.046193 0.00109979 0.0161132; 0.942 0.00539456 0.0464144 0.00111215 0.0162103; 0.941 0.00548804 0.0466327 0.00112363 0.0163077; 0.94 0.00557999 0.0468413 0.00113648 0.0164093; 0.939 0.00566732 0.0470441 0.001148 0.0165063; 0.938 0.00576016 0.047243 0.00116081 0.0166048; 0.937 0.00584624 0.0474359 0.00117287 0.0166994; 0.936 0.00593228 0.047632 0.00118444 0.0167913; 0.935 0.00602467 0.0478393 0.00119544 0.0168868; 0.934 0.0061212 0.0480362 0.00120693 0.0169851; 0.933 0.00621378 0.048236 0.00121812 0.017081; 0.932 0.00631099 0.0484257 0.00122957 0.0171741; 0.931 0.0064011 0.048605 0.00124167 0.0172687; 0.93 0.00649061 0.0487895 0.00125337 0.0173599; 0.929 0.00658459 0.0489837 0.00126469 0.0174521; 0.928 0.00667418 0.0491725 0.001276 0.0175432; 0.927 0.00676707 0.0493803 0.00128867 0.0176382; 0.926 0.006863 0.0495738 0.00130018 0.0177224; 0.925 0.00696173 0.0497547 0.00131161 0.01781; 0.924 0.00705182 0.049945 0.00132235 0.0178992; 0.923 0.00715009 0.0501409 0.0013343 0.0179842; 0.922 0.00723987 0.0503208 0.00134573 0.0180737; 0.921 0.00733536 0.050508 0.00135765 0.0181619; 0.92 0.0074357 0.0507083 0.00136939 0.0182525; 0.919 0.00752572 0.0508932 0.00138203 0.0183397; 0.918 0.00761856 0.0510768 0.00139322 0.0184242; 0.917 0.00770446 0.0512583 0.00140507 0.0185187; 0.916 0.00779229 0.0514328 0.00141642 0.0186001; 0.915 0.00788888 0.0516074 0.00142804 0.0186892; 0.914 0.00798609 0.0517857 0.00143907 0.0187802; 0.913 0.00807848 0.0519608 0.00145024 0.0188649; 0.912 0.00816983 0.0521452 0.00146136 0.0189494; 0.911 0.0082664 0.0523077 0.0014734 0.0190314; 0.91 0.00835513 0.0524876 0.00148483 0.0191154; 0.909 0.0084493 0.0526598 0.00149668 0.0191957; 0.908 0.00853732 0.0528396 0.00150889 0.0192754; 0.907 0.00863353 0.0530159 0.00152117 0.0193618; 0.906 0.0087338 0.0531883 0.00153298 0.019444; 0.905 0.0088278 0.0533478 0.00154484 0.0195258; 0.904 0.00892006 0.0535276 0.00155649 0.0196098; 0.903 0.00900906 0.0537065 0.00156733 0.0196951; 0.902 0.00910371 0.0538876 0.00157873 0.0197731; 0.901 0.00919626 0.0540592 0.00158999 0.0198547; 0.9 0.00929466 0.0542222 0.00160164 0.0199323; 0.899 0.00939184 0.0543904 0.00161331 0.0200053; 0.898 0.00947996 0.0545611 0.00162489 0.0200838; 0.897 0.0095765 0.0547434 0.00163662 0.0201577; 0.896 0.00967864 0.054902 0.00164774 0.0202375; 0.895 0.00977945 0.0550673 0.00165911 0.020314; 0.894 0.00987368 0.0552278 0.00167076 0.0203906; 0.893 0.00996604 0.0553922 0.00168219 0.020471; 0.892 0.01006 0.0555556 0.00169387 0.0205518; 0.891 0.0101555 0.0557089 0.00170512 0.0206261; 0.89 0.0102508 0.0558766 0.00171612 0.0206999; 0.889 0.0103476 0.0560367 0.00172738 0.0207834; 0.888 0.010437 0.0561793 0.00173861 0.0208616; 0.887 0.0105271 0.0563406 0.00174994 0.0209367; 0.886 0.0106303 0.0565014 0.00176107 0.0210167; 0.885 0.0107292 0.0566615 0.00177232 0.0210922; 0.884 0.0108182 0.0568358 0.0017833 0.0211717; 0.883 0.0109102 0.0569943 0.00179406 0.021247; 0.882 0.0110017 0.0571429 0.00180569 0.0213285; 0.881 0.0110965 0.0573018 0.00181718 0.0214076; 0.88 0.0111864 0.05747 0.00182775 0.0214835; 0.879 0.0112768 0.0576226 0.0018398 0.0215604; 0.878 0.011372 0.0577761 0.00185119 0.0216408; 0.877 0.0114619 0.0579322 0.00186231 0.0217124; 0.876 0.0115525 0.0580952 0.00187281 0.0217855; 0.875 0.0116468 0.0582456 0.00188339 0.0218622; 0.874 0.011738 0.0583987 0.00189419 0.0219416; 0.873 0.0118306 0.0585498 0.00190573 0.0220163; 0.872 0.0119205 0.0587172 0.00191684 0.022092; 0.871 0.012015 0.0588745 0.00192816 0.0221683; 0.87 0.0121039 0.0590164 0.00194001 0.022244; 0.869 0.0121975 0.0591716 0.00195175 0.0223207; 0.868 0.0122934 0.0593088 0.0019631 0.0223952; 0.867 0.0123912 0.0594729 0.00197516 0.0224693; 0.866 0.0124858 0.05962 0.00198685 0.0225428; 0.865 0.0125787 0.0597701 0.00199891 0.0226152; 0.864 0.0126798 0.059927 0.00201039 0.0226879; 0.863 0.0127779 0.0600733 0.00202192 0.0227621; 0.862 0.0128654 0.0602298 0.00203404 0.0228336; 0.861 0.0129579 0.0603884 0.00204564 0.0229143; 0.86 0.0130481 0.0605405 0.00205692 0.0229779; 0.859 0.0131458 0.0606786 0.00206909 0.0230511; 0.858 0.0132386 0.0608234 0.00208009 0.0231241; 0.857 0.0133361 0.0609679 0.00209155 0.0231976; 0.856 0.0134326 0.0611129 0.0021032 0.0232704; 0.855 0.013523 0.0612633 0.00211412 0.0233454; 0.854 0.0136267 0.0614086 0.00212478 0.0234192; 0.853 0.0137197 0.0615515 0.00213678 0.0234878; 0.852 0.0138166 0.0616966 0.00214751 0.0235588; 0.851 0.0139135 0.0618421 0.00215915 0.0236341; 0.85 0.0140141 0.0619878 0.00217059 0.0237083; 0.849 0.0141075 0.062135 0.00218123 0.023782; 0.848 0.0142 0.0622819 0.00219209 0.0238564; 0.847 0.0142933 0.0624276 0.00220346 0.0239332; 0.846 0.0143888 0.0625775 0.00221556 0.0240062; 0.845 0.0144808 0.0627237 0.00222706 0.0240821; 0.844 0.0145725 0.0628623 0.00223918 0.0241542; 0.843 0.0146642 0.0630113 0.00225003 0.0242279; 0.842 0.0147596 0.0631478 0.0022607 0.0243003; 0.841 0.0148579 0.0632962 0.00227194 0.0243741; 0.84 0.0149545 0.0634421 0.00228351 0.0244401; 0.839 0.015045 0.0635897 0.00229511 0.024509; 0.838 0.0151379 0.0637309 0.00230731 0.0245786; 0.837 0.0152323 0.0638836 0.0023187 0.0246497; 0.836 0.0153301 0.0640244 0.00233044 0.0247231; 0.835 0.0154261 0.0641791 0.00234198 0.024791; 0.834 0.0155206 0.0643089 0.00235367 0.024857; 0.833 0.0156209 0.0644456 0.00236563 0.0249322; 0.832 0.0157151 0.0645833 0.00237717 0.0250018; 0.831 0.0158131 0.064732 0.0023896 0.0250717; 0.83 0.0159051 0.064871 0.00240045 0.0251384; 0.829 0.0159974 0.0650014 0.00241146 0.0252028; 0.828 0.0160849 0.0651456 0.00242342 0.0252759; 0.827 0.0161767 0.0652897 0.00243588 0.0253455; 0.826 0.0162718 0.065438 0.00244799 0.0254166; 0.825 0.0163672 0.0655797 0.00245981 0.0254915; 0.824 0.0164628 0.0657172 0.0024712 0.0255578; 0.823 0.0165602 0.0658519 0.0024831 0.0256279; 0.822 0.0166586 0.0659928 0.00249465 0.0256997; 0.821 0.0167537 0.066141 0.00250647 0.0257683; 0.82 0.0168424 0.0662963 0.00251844 0.0258404; 0.819 0.0169416 0.0664508 0.00252995 0.0259103; 0.818 0.0170374 0.0666102 0.00254182 0.0259766; 0.817 0.0171325 0.0666667 0.00255408 0.0260441; 0.816 0.0172327 0.066843 0.00256488 0.026109; 0.815 0.0173295 0.0669913 0.00257723 0.0261751; 0.814 0.0174219 0.0671264 0.00258874 0.0262421; 0.813 0.0175175 0.0672586 0.0026013 0.0263107; 0.812 0.0176153 0.0673976 0.00261365 0.0263816; 0.811 0.0177108 0.0675263 0.00262564 0.0264466; 0.81 0.0177993 0.0676568 0.00263715 0.0265179; 0.809 0.0178987 0.0677884 0.00264883 0.0265831; 0.808 0.0179933 0.0679225 0.00266047 0.026655; 0.807 0.018092 0.0680556 0.00267243 0.0267237; 0.806 0.0181913 0.0681969 0.00268474 0.0267901; 0.805 0.0182862 0.0683333 0.00269703 0.0268602; 0.804 0.0183802 0.0684753 0.00270894 0.0269222; 0.803 0.0184745 0.0686037 0.00272135 0.0269937; 0.802 0.0185726 0.0687319 0.00273299 0.0270676; 0.801 0.0186802 0.0688604 0.00274498 0.0271307; 0.8 0.0187788 0.0690001 0.00275647 0.0271945; 0.799 0.0188727 0.0691363 0.00276851 0.0272601; 0.798 0.0189692 0.0692658 0.00278135 0.0273299; 0.797 0.019056 0.0694083 0.00279266 0.0273933; 0.796 0.0191552 0.0695452 0.0028057 0.0274667; 0.795 0.0192504 0.0696776 0.00281759 0.0275323; 0.794 0.0193492 0.0698133 0.00282882 0.0276044; 0.793 0.0194438 0.0699394 0.00284156 0.0276771; 0.792 0.0195501 0.0700667 0.00285385 0.0277432; 0.791 0.019637 0.0702076 0.00286655 0.0278116; 0.79 0.0197395 0.0703431 0.00287852 0.0278777; 0.789 0.0198383 0.0704762 0.00289081 0.0279422; 0.788 0.0199326 0.0706144 0.00290271 0.0280119; 0.787 0.0200293 0.0707469 0.00291517 0.0280772; 0.786 0.0201216 0.0708806 0.00292791 0.0281433; 0.785 0.0202183 0.0710227 0.0029407 0.0282132; 0.784 0.0203183 0.0711673 0.00295313 0.0282755; 0.783 0.0204113 0.0713013 0.00296509 0.0283417; 0.782 0.0205074 0.0714286 0.00297745 0.0284142; 0.781 0.0206027 0.0715542 0.00298977 0.028486; 0.78 0.0206958 0.0716884 0.00300192 0.0285541; 0.779 0.0207926 0.0718314 0.0030149 0.0286196; 0.778 0.0208862 0.0719697 0.00302628 0.0286868; 0.777 0.0209804 0.0720968 0.0030384 0.0287554; 0.776 0.0210695 0.0722298 0.00305059 0.0288195; 0.775 0.0211617 0.0723664 0.00306304 0.028881; 0.774 0.0212585 0.0725054 0.00307622 0.0289465; 0.773 0.0213514 0.0726492 0.00308935 0.0290088; 0.772 0.021449 0.0727873 0.00310206 0.0290791; 0.771 0.0215455 0.0729193 0.00311356 0.0291421; 0.77 0.0216454 0.0730605 0.00312526 0.0292099; 0.769 0.0217453 0.0731988 0.00313809 0.0292759; 0.768 0.0218381 0.0733333 0.0031507 0.0293396; 0.767 0.02193 0.0734537 0.00316284 0.029409; 0.766 0.0220231 0.0735805 0.00317594 0.029477; 0.765 0.0221251 0.0737095 0.00318773 0.0295439; 0.764 0.0222255 0.0738351 0.00320127 0.0296081; 0.763 0.0223217 0.0739755 0.00321375 0.0296771; 0.762 0.0224195 0.0741174 0.00322581 0.0297446; 0.761 0.0225176 0.0742576 0.00323822 0.0298116; 0.76 0.0226131 0.074386 0.00325089 0.0298801; 0.759 0.0227116 0.0745224 0.00326416 0.0299428; 0.758 0.0228073 0.0746478 0.00327658 0.0300128; 0.757 0.0229026 0.0747727 0.00328932 0.0300807; 0.756 0.0229991 0.0748984 0.0033027 0.0301528; 0.755 0.0230912 0.0750225 0.00331541 0.030219; 0.754 0.0231911 0.0751681 0.00332783 0.0302861; 0.753 0.0232899 0.0753015 0.00334109 0.0303578; 0.752 0.0233888 0.0754319 0.00335423 0.0304253; 0.751 0.0234812 0.0755611 0.00336607 0.0304896; 0.75 0.0235835 0.0756892 0.0033785 0.0305525; 0.749 0.0236882 0.0758203 0.00339124 0.0306205; 0.748 0.0237821 0.0759545 0.00340421 0.0306902; 0.747 0.0238815 0.0760916 0.00341764 0.0307551; 0.746 0.0239744 0.0762226 0.00342919 0.0308217; 0.745 0.0240706 0.0763582 0.00344257 0.0308887; 0.744 0.0241647 0.0764972 0.00345652 0.0309533; 0.743 0.0242634 0.0766304 0.00347052 0.0310153; 0.742 0.0243651 0.0767599 0.00348309 0.031077; 0.741 0.0244622 0.07689 0.00349571 0.031141; 0.74 0.0245588 0.0770323 0.00350916 0.031204; 0.739 0.024658 0.0771743 0.00352206 0.0312674; 0.738 0.0247568 0.0772947 0.00353519 0.0313313; 0.737 0.0248543 0.0774249 0.00354935 0.0314019; 0.736 0.0249524 0.0775549 0.00356248 0.0314709; 0.735 0.025048 0.0776868 0.00357584 0.0315391; 0.734 0.0251469 0.077798 0.00358827 0.0316052; 0.733 0.0252501 0.0779416 0.00360124 0.0316701; 0.732 0.0253466 0.0780689 0.00361527 0.0317348; 0.731 0.0254433 0.0781983 0.00362824 0.0317998; 0.73 0.0255375 0.0783333 0.00364205 0.0318654; 0.729 0.0256348 0.0784571 0.00365411 0.0319311; 0.728 0.025728 0.0785806 0.00366753 0.0319983; 0.727 0.0258291 0.0787224 0.00368132 0.0320661; 0.726 0.0259281 0.0788585 0.00369491 0.0321345; 0.725 0.0260256 0.07899 0.00370837 0.0322048; 0.724 0.0261215 0.079124 0.00372145 0.0322714; 0.723 0.0262181 0.0792436 0.00373454 0.0323347; 0.722 0.0263176 0.0793763 0.00374768 0.0323982; 0.721 0.0264164 0.0795133 0.00376109 0.0324671; 0.72 0.0265182 0.079643 0.00377457 0.0325294; 0.719 0.0266206 0.0797887 0.0037873 0.0325965; 0.718 0.0267235 0.0799318 0.00380104 0.0326621; 0.717 0.0268261 0.0800583 0.00381487 0.0327288; 0.716 0.0269255 0.080199 0.00382849 0.032793; 0.715 0.0270242 0.080336 0.003842 0.0328568; 0.714 0.0271227 0.0804634 0.00385521 0.0329231; 0.713 0.0272197 0.0806045 0.0038702 0.0329896; 0.712 0.0273185 0.0807292 0.00388387 0.0330573; 0.711 0.0274185 0.0808577 0.00389838 0.0331243; 0.71 0.0275233 0.0809766 0.00391221 0.0331912; 0.709 0.0276188 0.0811203 0.00392603 0.0332543; 0.708 0.0277144 0.0812519 0.00393975 0.0333252; 0.707 0.0278144 0.0813853 0.0039535 0.0333927; 0.706 0.0279142 0.0815152 0.00396635 0.0334577; 0.705 0.0280148 0.0816523 0.00397996 0.0335229; 0.704 0.0281089 0.0817833 0.0039939 0.0335861; 0.703 0.0282025 0.0819132 0.00400778 0.0336527; 0.702 0.0283023 0.0820484 0.00402117 0.0337199; 0.701 0.028401 0.0821743 0.00403495 0.0337842; 0.7 0.0284965 0.0823136 0.00404889 0.0338504; 0.699 0.0286011 0.0824453 0.00406233 0.0339177; 0.698 0.0287041 0.0825789 0.00407579 0.0339856; 0.697 0.0288032 0.0827178 0.00408978 0.0340573; 0.696 0.0288959 0.0828529 0.00410455 0.0341214; 0.695 0.0290006 0.0829852 0.00411777 0.0341856; 0.694 0.0291029 0.0831169 0.0041323 0.0342548; 0.693 0.0292082 0.083256 0.00414529 0.0343248; 0.692 0.0293125 0.0833501 0.00415952 0.034389; 0.691 0.0294145 0.0834979 0.00417214 0.0344535; 0.69 0.0295165 0.0836296 0.00418625 0.0345207; 0.689 0.0296165 0.0837577 0.00420014 0.0345834; 0.688 0.0297155 0.0838964 0.00421441 0.0346559; 0.687 0.0298176 0.0840319 0.00422825 0.0347212; 0.686 0.0299214 0.0841667 0.00424213 0.0347826; 0.685 0.0300217 0.0842915 0.0042557 0.0348495; 0.684 0.0301244 0.084423 0.00427003 0.0349186; 0.683 0.0302233 0.0845576 0.00428448 0.0349862; 0.682 0.0303194 0.0846924 0.00430026 0.0350506; 0.681 0.0304222 0.0848337 0.00431484 0.0351238; 0.68 0.0305235 0.0849628 0.00432891 0.0351936; 0.679 0.0306211 0.0851039 0.0043422 0.0352618; 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0.001 0.241961 0.405911 0.0911455 0.249059; 0.0 0.344619 0.633333 0.312688 0.392941] global metricp = DataFrame(pval = x[:, 1], areametric = x[:, 2], Dkmetric = x[:, 3], invrsqmetric = x[:, 4], meanDmetric = x[:, 5])
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""" function vertex3(para, extK = [DiagTree.getK(para.totalLoopNum, 1), DiagTree.getK(para.totalLoopNum, 2)], subdiagram = false; name = :Ξ“3, chan = [PHr, PHEr, PPr, Alli], resetuid = false) Generate 3-vertex diagrams using Parquet Algorithm. With imaginary-time variables, all vertex3 generated has the same bosonic Tidx ``extT[1]=para.firstTauIdx`` and the incoming fermionic Tidx ``extT[2]=para.firstTauIdx+1``. #Arguments - `para` : parameters. It should provide internalLoopNum, interactionTauNum, firstTauIdx - `extK` : basis of external loops as a vector [bosonic leg, fermionic in, fermionic out]. - `subdiagram` : a sub-vertex or not - `name` : name of the vertex - `chan` : vector of channels of the current 4-vertex. - `resetuid` : restart uid count from 1 # Output - A DataFrame with fields :response, :extT, :diagram, :hash. """ function vertex3(para, extK=[DiagTree.getK(para.totalLoopNum, 1), DiagTree.getK(para.totalLoopNum, 2)], subdiagram=false; name=:Ξ“3, chan=[PHr, PHEr, PPr, Alli], resetuid=false) resetuid && uidreset() @assert para.diagType == Ver3Diag @assert para.innerLoopNum >= 1 "Only generates vertex corrections with more than one internal loops." for k in extK @assert length(k) >= para.totalLoopNum "expect dim of extK>=$(para.totalLoopNum), got $(length(k))" end extK = [k[1:para.totalLoopNum] for k in extK] q, Kin = extK[1], extK[2] Kout = length(extK) == 3 ? extK[3] : Kin .- q @assert ((q β‰ˆ Kin) == false) && ((q β‰ˆ Kout) == false) "The bosonic q cann't be same as the fermionic k. Ohterwise the proper diagram check will fail!" extK = [q, Kin, Kout] if Proper in para.filter para = reconstruct(para, transferLoop=q) end t0 = para.firstTauIdx vertex3 = DataFrame() # if para.innerLoopNum == 0 # push!(vertex3, (response = UpUp, extT = (t0, t0, t0), diagram = ver3diag)) # end if (para.extra isa ParquetBlocks) == false para = reconstruct(para, extra=ParquetBlocks()) end K = zero(q) LoopIdx = para.firstLoopIdx K[LoopIdx] = 1.0 # extT = (t0, t0 + 1) legK = [Kin, Kout, K, K .+ q] ######################## Ξ 0 = GG ######################################### for (oVer4, oGin, oGout) in orderedPartition(para.innerLoopNum - 1, 3, 0) # ! Vertex4 must be in the first place, because we want to make sure that the TinL of the vertex4 start with t0+1 idx, maxLoop = findFirstLoopIdx([oVer4, oGin, oGout], LoopIdx + 1) @assert maxLoop <= para.totalLoopNum "maxLoop = $maxLoop > $(para.totalLoopNum)" Ver4Kidx, GinKidx, GoutKidx = idx ver4t0 = para.hasTau ? para.firstTauIdx + 1 : para.firstTauIdx idx, maxTau = findFirstTauIdx([oVer4, oGin, oGout], [Ver4Diag, GreenDiag, GreenDiag], ver4t0, para.interactionTauNum) @assert maxTau <= para.totalTauNum "maxTau = $maxTau > $(para.totalTauNum)" Ver4Tidx, GinTidx, GoutTidx = idx if isValidG(para.filter, oGin) && isValidG(para.filter, oGout) paraGin = reconstruct(para, diagType=GreenDiag, innerLoopNum=oGin, firstLoopIdx=GinKidx, firstTauIdx=GinTidx) paraGout = reconstruct(para, diagType=GreenDiag, innerLoopNum=oGout, firstLoopIdx=GoutKidx, firstTauIdx=GoutTidx) paraVer4 = reconstruct(para, diagType=Ver4Diag, innerLoopNum=oVer4, firstLoopIdx=Ver4Kidx, firstTauIdx=Ver4Tidx) ver4 = vertex4(paraVer4, legK, chan, true) if isnothing(ver4) || isempty(ver4) continue end if para.hasTau @assert all(x -> x[INL] == ver4t0, ver4[:, :extT]) "The TinL of the inner Ξ“4 must be firstTauIdx+1" end #transform extT coloum into extT for Vertex4 and the extT for Gin and Gout df = transform(ver4, :extT => ByRow(x -> [(t0, x[INL], x[OUTL]), (t0, x[INR]), (x[OUTR], t0)]) => [:extT, :GinT, :GoutT]) groups = mergeby(df, [:response, :GinT, :GoutT, :extT], operator=Sum()) for v4 in eachrow(groups) response = v4[:response] @assert response == UpUp || response == UpDown #type: Instant or Dynamic ver3id = Ver3Id(para, response, k=extK, t=v4[:extT]) gin = green(paraGin, K, v4[:GinT], true, name=:Gin) gout = green(paraGout, K .+ q, v4[:GoutT], true, name=:Gout) @assert gin isa Diagram && gout isa Diagram ver3diag = Diagram(ver3id, Prod(), [gin, gout, v4[:diagram]], name=name) push!(vertex3, (response=response, extT=v4[:extT], diagram=ver3diag)) end end end if isempty(vertex3) return DataFrame(response=[], extT=[], diagram=[]) end Factor = 1 / (2Ο€)^para.loopDim ver3 = mergeby(vertex3, [:response, :extT]; name=name, factor=Factor, getid=g -> Ver3Id(para, g[1, :response], k=extK, t=g[1, :extT]) ) return ver3 end
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2.131141
2,402
f = x->0; u_exact = x->x; a = 0; b = 1; n = 9; problem = FiniteDifferenceBVPProblem(0, 1, n, f, DirichletBC(0), DirichletBC(1)); assemble_system!(problem); u = solve_bvp(problem); err = @. problem.x - u; # check error norm(err, Inf)< 1e-14
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2.141593
113
# This file is a part of TypeDBClient. License is MIT: https://github.com/Humans-of-Julia/TypeDBClient.jl/blob/main/LICENSE struct ThingType <: AbstractThingType label::Label is_root::Bool end # Porting note: Java client calls into RequestBuilder but it really # has nothing to to with requests... I think it's probably better # migrating the function here. function proto(t::AbstractThingType) Proto._Type( label = t.label.name, encoding = encoding(t) ) # return ThingTypeRequestBuilder.proto_thing_type(t.label, encoding(t)) end # Contract: all subtypes of AbstractThingType should have these two fields is_root(t::AbstractThingType) = t.is_root label(t::AbstractThingType) = t.label # ------------------------------------------------------------------------ # Remote functions # ------------------------------------------------------------------------ function set_supertype(r::RemoteConcept{C,T}) where { C <: AbstractThingType, T <: AbstractCoreTransaction } req = ThingTypeRequestBuilder.set_supertype_req(r.concept.label) res = execute(r.transaction, req) end function get_supertype(r::RemoteConcept{C,T}) where { C <: AbstractThingType, T <: AbstractCoreTransaction } req = TypeRequestBuilder.get_supertype_req(r.concept.label) res = execute(r.transaction, req) typ = res.type_res.type_get_supertype_res._type return instantiate(typ) end function get_supertypes(r::RemoteConcept{C,T}) where { C <: AbstractThingType, T <: AbstractCoreTransaction } req = TypeRequestBuilder.get_supertypes_req(r.concept.label) res = execute(r.transaction, req) typs = res.type_res_part.type_get_supertypes_res_part.types return instantiate.(typs) end function get_subtypes(r::RemoteConcept{C,T}) where { C <: AbstractThingType, T <: AbstractCoreTransaction } req = TypeRequestBuilder.get_subtypes_req(r.concept.label) res = execute(r.transaction, req) typs = res.type_res_part.type_get_subtypes_res_part.types return instantiate.(typs) end function get_instances(r::RemoteConcept{C,T}) where { C <: AbstractThingType, T <: AbstractCoreTransaction } req = ThingTypeRequestBuilder.get_instances_req(r.concept.label) res = stream(r.transaction, req) return instantiate.(collect(Iterators.flatten( r.type_res_part.thing_type_get_instances_res_part.things for r in res))) end function set_abstract(r::RemoteConcept{C,T}) where { C <: AbstractThingType, T <: AbstractCoreTransaction } req = ThingTypeRequestBuilder.set_abstract_req(r.concept.label) execute(r.transaction, req) end function unset_abstract(r::RemoteConcept{C,T}) where { C <: AbstractThingType, T <: AbstractCoreTransaction } req = ThingTypeRequestBuilder.unset_abstract_req(r.concept.label) execute(r.transaction, req) end function set_plays( r::RemoteConcept{C,T}, role_type::AbstractRoleType, overridden_role_type::Optional{AbstractRoleType} = nothing ) where {C <: AbstractThingType, T <: AbstractCoreTransaction} req = ThingTypeRequestBuilder.set_plays_req( r.concept.label, proto(role_type), overridden_role_type ) execute(r.transaction, req) end function set_owns( r::RemoteConcept{C,T}, attribute_type::AbstractAttributeType, is_key::Bool = false ) where {C <: AbstractThingType, T <: AbstractCoreTransaction} req = ThingTypeRequestBuilder.set_owns_req( r.concept.label, is_key, proto(attribute_type) ) execute(r.transaction, req) end function get_owns( r::RemoteConcept{C,T}, value_type::Optional{EnumType} = nothing, keys_only::Bool = false ) where {C <: AbstractThingType, T <: AbstractCoreTransaction} req = ThingTypeRequestBuilder.get_owns_req(r.concept.label, value_type, keys_only) res = stream(r.transaction, req) return instantiate.(collect(Iterators.flatten( r.type_res_part.thing_type_get_owns_res_part.attribute_types for r in res))) end function get_plays(r::RemoteConcept{C,T}) where { C <: AbstractThingType, T <: AbstractCoreTransaction } req = ThingTypeRequestBuilder.get_plays_req(r.concept.label) res = stream(r.transaction, req) return instantiate.(collect(Iterators.flatten( r.type_res_part.thing_type_get_plays_res_part.roles for r in res))) end
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2.757768
1,577
## Apache Arrow @info "Arrow.jl is available - including functionality to read / write JDF files" using .Arrow function read_table(::ArrowFormat, filename:: Union{AbstractString, IO}; kwargs...) return Arrow.Table(filename; kwargs...) end function write_table!(::ArrowFormat, filename:: Union{AbstractString, IO}, table; kwargs...) Arrow.write(filename, table; kwargs...) nothing end
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3.2
125
import Knet.Ops20: elu, relu, selu, sigm, eluback, reluback, seluback, sigmback import Base.Broadcast: broadcasted import Knet using Knet.KnetArrays: KnetArray, DevArray, Bcasted using Knet.LibKnet8: @knet8 using CUDA: CuArray, CuPtr using AutoGrad: AutoGrad, @primitive # Specialize tanh gradient for DevArrays here. The others have been declared in Ops20 as generic gradients. tanhback(dyi::T,yi::T) where {T<:Number} = dyi*(T(1)-yi*yi) @primitive tanh(x::DevArray),dy,y tanhback.(dy,y) @primitive tanhback(dy,y),ddx ddx.*(1 .- y.*y) ddx.*(-2 .* dy.*y) for (R,P) in ((KnetArray,Ptr), (CuArray,CuPtr)), T in (Float32,Float64); S = sizeof(T) * 8 for f in ("elu","relu","selu","sigm") J, F = Symbol(f), "$(f)_$S"; M = which(@__MODULE__,J) @eval begin function broadcasted(::typeof($J),x::$R{$T}) y = similar(x) @knet8($F,(Cint,$P{$T},$P{$T}),length(y),x,y) return y end # Bcasted methods -- only needed for KnetArray ($M).$J(x::Bcasted{<:$R{$T}}) = broadcasted($J, x.value) |> Bcasted broadcasted(::typeof($J),x::Bcasted{<:$R{$T}}) = broadcasted($J, x.value) |> Bcasted end end for f in ("eluback","reluback","seluback","sigmback","tanhback") J, F = Symbol(f), "$(f)_$(S)_11"; M = which(@__MODULE__,J) @eval begin function broadcasted(::typeof($J),x::$R{$T},y::$R{$T}) z = similar(x) @knet8($F,(Cint,$P{$T},$P{$T},$P{$T}),length(z),x,y,z) return z end # Bcasted methods -- only needed for KnetArray ($M).$J(x::Bcasted{<:$R{$T}}, y::Bcasted{<:$R{$T}}) = broadcasted($J, x.value, y.value) |> Bcasted ($M).$J(x::$R{$T}, y::Bcasted{<:$R{$T}}) = broadcasted($J, x, y.value) |> Bcasted ($M).$J(x::Bcasted{<:$R{$T}}, y::$R{$T}) = broadcasted($J, x.value, y) |> Bcasted broadcasted(::typeof($J),x::Bcasted{<:$R{$T}}, y::Bcasted{<:$R{$T}}) = broadcasted($J, x.value, y.value) |> Bcasted broadcasted(::typeof($J),x::$R{$T}, y::Bcasted{<:$R{$T}}) = broadcasted($J, x, y.value) |> Bcasted broadcasted(::typeof($J),x::Bcasted{<:$R{$T}}, y::$R{$T}) = broadcasted($J, x.value, y) |> Bcasted end end end
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struct RootNode <: Node children::Tuple{Any} function RootNode(node) new((node,)) end end function _traversal(node, visitfn::Function, visitfnargs::Union{Any, Nothing}, visited) if haskey(visited, node) return visited[node] else new_children = [_traversal(child, visitfn, visitfnargs, visited) for child in node.children] result = visitfnargs !== nothing ? visitfn(visited, node, visitfnargs, new_children...) : visitfn(visited, node, new_children...) visited[node] = result return result end end function _posttraversal(node, visitfn::Function, visitfnargs::Union{Any, Nothing}, visited) if haskey(visited, node) return visited[node] else result = visitfnargs !== nothing ? visitfn(node, visitfnargs, (x -> _posttraversal(x, visitfn, visitfnargs, visited))) : visitfn(node, (x -> _posttraversal(x, visitfn, visitfnargs, visited))) visited[node] = result return result end end """ traversal(node, pretraversalfn::Function, visitfn::Function, pretraversalfnargs::Union{Any, Nothing}, visitfnargs::Union{Any, Nothing}, visited::Union{Dict, Nothing}, posttraversal=false) Traverses an AST, calling visitfn on the nodes of the tree. # Arguments - `node`: the root of the tree to traverse. Assumes that each node has children attribute. - `pretraversalfn::Function` A function to be executed before the traversal - `visitfn::Function` The function that is executed on each visit. If posttraversal is false, and visitfnargs nothing, the function must have signature `visitfn(visited, node, new_children...)`. If visitfnargs is not nothing, the signature is `visitfn(visited, node, visitfnargs, new_children...). If posttraversal is true, the signature must be `visitfn(node, fn)`, or `visitfn(node, visitfn, fn)`, where `fn` is a function that calls traversal on a node. - `pretraversalfnargs::Union{Any, Nothing}` Arguments for the pretraversalfn. - `visitfnargs::Union{Any, Nothing}` Arguments for traversalfn. - `visited::Union{Dict, Nothing}` If not nothing, a dictionary with the results of calling traversalfn on different nothing. If nothing, this dictionary is created in traversal. - `posttraversal=false` Determines the way traversal traverses each node. If `posttraversal=false`, the traversal first processes the children of a node, and then the parent node (example: [`togem(node::Node)`](@ref)). If `posttraversal=true`, the visitfn first processes the parent and then calls visitfn on its children if needed (example: [`differentiate(A::AbstractTensor{0}, x::VariableTensor{0})`](@ref)). """ function traversal(node, pretraversalfn::Function, visitfn::Function, pretraversalfnargs::Union{Any, Nothing}, visitfnargs::Union{Any, Nothing}, visited::Union{Dict, Nothing}, posttraversal::Bool) if visited === nothing visited = Dict{Any, Any}() end root = RootNode(node) root = pretraversalfnargs !== nothing ? pretraversalfn(root, pretraversalfnargs...) : pretraversalfn(root) root = posttraversal ? _posttraversal( root, visitfn, visitfnargs, visited) : _traversal( root, visitfn, visitfnargs, visited) return root.children[1] end function traversal(node, pretraversalfn::Function, visitfn::Function, pretraversalfnargs::Union{Any, Nothing}, visitfnargs::Union{Any, Nothing}, visited::Union{Dict, Nothing}) return traversal(node, pretraversalfn, visitfn, pretraversalfnargs, visitfnargs, visited, false) end
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using StatsBase, Distributions, IterTools #StatsPlots function get_freq(h::Histogram, val) x = searchsortedfirst.(h.edges, val) h.weights[x...] end function get_bin(h::Histogram, val) bin = searchsortedfirst.(h.edges, val) bin[1] - 1 end function get_probability(h::Histogram, val) x = searchsortedfirst.(h.edges, val) h.weights[x...]/sum(h.weights) end function mutual_information(X::Vector{Vector{T}}, Y::Vector{Vector{T}}) where T <: Number hx = fit(Histogram, (X...,)) hy = fit(Histogram, (Y...,)) XY = vcat(X,Y) hxy = fit(Histogram, (XY...,)) MI = 0.0 rx = create_matrix_range(size(hx.weights)) ry = create_matrix_range(size(hy.weights)) for x in Iterators.product(rx...) p_x = get_bin_probability(hx, x...) for y in Iterators.product(ry...) p_y = get_bin_probability(hy, y...) index_xy = (x..., y...) p_xy = get_bin_probability(hxy, index_xy...) if p_xy != 0 MI += p_xy*log(p_xy/(p_x*p_y)) end end end MI end function mutual_information(p_x, p_y, p_xy) MI = 0.0 for x = 1:length(p_x) for y = 1:length(p_y) prob_xy = p_xy[x, y] prob_log = prob_xy/(p_x[x]*p_y[y]) if prob_xy != 0 && prob_log != NaN MI += prob_xy*log(prob_log) end end end MI end function mutual_information_unit(X::Vector{T}, Y::Vector{T}) where T <: Int max_X, max_Y = maximum(X), maximum(Y) hx = fit(Histogram, (X), 0:max_X, closed=:right) hy = fit(Histogram, (Y), 0:max_Y, closed=:right) XY = hcat([X],[Y]) hxy = fit(Histogram, (X, Y), (0:max_X, 0:max_Y), closed=:right) MI = 0.0 rx = create_matrix_range(size(hx.weights)) ry = create_matrix_range(size(hy.weights)) for x in Iterators.product(rx...) p_x = get_bin_probability(hx, x...) for y in Iterators.product(ry...) p_y = get_bin_probability(hy, y...) index_xy = (x..., y...) p_xy = get_bin_probability(hxy, index_xy...) if p_xy != 0 MI += p_xy*log(p_xy/(p_x*p_y)) end end end MI end function mutual_information_unit(X::Vector{T}, Y::Vector{T}, lim_X, lim_Y) where T <: Int min_X, max_X = lim_X min_Y, max_Y = lim_Y range_X = min_X:max_X range_Y = min_Y:max_Y hx = fit(Histogram, (X), range_X, closed=:right) hy = fit(Histogram, (Y), range_Y, closed=:right) XY = hcat([X],[Y]) hxy = fit(Histogram, (X, Y), (range_X, range_Y), closed=:right) MI = 0.0 rx = create_matrix_range(size(hx.weights)) ry = create_matrix_range(size(hy.weights)) for x in Iterators.product(rx...) p_x = get_bin_probability(hx, x...) for y in Iterators.product(ry...) p_y = get_bin_probability(hy, y...) index_xy = (x..., y...) p_xy = get_bin_probability(hxy, index_xy...) if p_xy != 0 MI += p_xy*log(p_xy/(p_x*p_y)) end end end MI end get_bin_probability(h::Histogram, x...) = h.weights[x...]/sum(h.weights) function create_matrix_range(t::Tuple) tuple_length = length(t) ranges = [] for r = 1:tuple_length range = 1:t[r] push!(ranges, range) end ranges end function calculate_joint_probability(X::Vector{<:Number}, Y::Vector{<:Number}, lim_X, lim_Y) min_X, max_X = lim_X min_Y, max_Y = lim_Y range_X = min_X:max_X range_Y = min_Y:max_Y p_x = fit(Histogram, (X), range_X, closed=:right) p_y = fit(Histogram, (Y), range_Y, closed=:right) p_xy = fit(Histogram, (X, Y), (range_X, range_Y), closed=:right) p_X = p_x.weights/sum(p_x.weights) p_Y = p_y.weights/sum(p_y.weights) p_XY = p_xy.weights/sum(p_xy.weights) return p_X, p_Y, p_XY end function calculate_joint_probability(X::Vector{<:Number}, Y::Vector{<:Number}, nbins) p_x = fit(Histogram, (X), nbins=nbins[1]) p_y = fit(Histogram, (Y), nbins=nbins[2]) p_xy = fit(Histogram, (X, Y), nbins=nbins) p_X = p_x.weights/sum(p_x.weights) p_Y = p_y.weights/sum(p_y.weights) p_XY = p_xy.weights/sum(p_xy.weights) return p_X, p_Y, p_XY end include("layer_histogram.jl") function calculate_joint_probability(X::Vector{<:Number}, Y::Vector{<:Number}, limits_X, limits_Y, nbins) p_x = create_bin_histogram(X, nbins[1], limits_X[1], limits_X[2]) p_y = create_bin_histogram(Y, nbins[2], limits_Y[1], limits_Y[2]) p_xy = fit(Histogram, (X, Y), (p_x.edges[1], p_y.edges[1])) p_X = p_x.weights/sum(p_x.weights) p_Y = p_y.weights/sum(p_y.weights) p_XY = p_xy.weights/sum(p_xy.weights) return p_X, p_Y, p_XY end # Test #= X = randn(10000) Y = randn(10000) println("Mutual Information: I(X; Y) = ", mutual_information([X], [Y])) println("Mutual Information: I(Y; X) = ", mutual_information([Y], [X])) println("Mutual Information: I(X; (Y,X)) = ", mutual_information([X], [Y, X])) println("Mutual Information: I(X; X) = ", mutual_information([X], [X])) println("Mutual Information: I(Y; Y) = ", mutual_information([Y], [Y])) =#
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# # Generating and manipulating a tetrahedral mesh # In this tutorial, we will learn # # - How to generate a simple mesh. # - How to inspect the mesh. # - How to inspect the data stored in the mesh. # - How to export the mesh and visualize it. # The tutorial comes with a file containing representation of the mesh for # visualization in the [Paraview](https://www.paraview.org/) format (VTK). One can # visualize this mesh by loading the file `mymesh.vtu` with `paraview.exe`. # One of the aims of this tutorial is to work with this mesh: to generate it, # inspect it, and eventually to store it in the VTK format. # We will generate the tetrahedral mesh inside a rectangular block. # The block will have the dimensions shown below: a, b, c = 2.0, 2.5, 3.0 # The tetrahedra will be generated in a regular pattern, with the number of # edges per side of the block given as na, nb, nc = 2, 2, 3 # The mesh will be generated by the package `MeshSteward`. using MeshSteward: T4block conn = T4block(a, b, c, na, nb, nc); # The variable `conn` is an incidence relation. This will become the base # relation of the mesh. using MeshSteward: Mesh, attach! # The mesh is first created. m = Mesh() # Then the ``(3, 0)`` incidence relation, which defines the tetrahedral elements in terms of the vertices at their corners, is attached to it. attach!(m, conn); # We can now inspect the mesh by printing its summary. println(summary(m)) # We can see that the relation links the tetrahedral elements and the vertices. # In addition to its being the only relation in the mesh (at the moment), it is # also what is called the *base* incidence relation. # The relations in the mesh are accessed by code. The base relation is # described by the code: using MeshSteward: basecode @show irc = basecode(m); # We can retrieve the base incidence relation from the mesh as using MeshSteward: increl conn = increl(m, basecode(m)); # We can access the data stored in the incidence relation as follows. For # instance, the connectivity of the mesh can be accessed with regular array # indexing. The numbers of the vertices for the first tetrahedron are: @show conn[1] # We can check that the incidence relation stores four vertices per tetrahedron as using MeshCore: nentities @show nentities(conn, 1) == 4 # We checked it for the first tetrahedron, but for this type of incidence # relation all relations store the same number of entities. # The vertex shape collection stores the locations of the vertices as an # attribute. using MeshCore: attribute @show geom = attribute(conn.right, "geom"); # The coordinates of the vertices of the first tetrahedron can be accessed as for j in 1:nentities(conn, 1) k = conn[1, j] println("Vertex $(j): global number $(k)") println(" $(geom[k])") end # The mesh may be exported for viewing with the "Paraview" visualization # program. Note that a file of this name is provided with the installation. # When you run this tutorial you should get the same file. So a quick way of # checking that things are working as expected is to visualize what you # should get by loading the file `mymesh.vtu` with `paraview.exe`, and only # then running the export in the two lines below and looking at the results again. using MeshSteward: vtkwrite vtkwrite("mymesh", conn) # Start "Paraview", load the file `mymesh.vtu` and select for instance view as # "Surface with Edges". # Provided `paraview.exe` is installed and in the path where your operating # system searches for executables, you may be able to run the following command # to bring up the visualization program. @async run(`paraview mymesh.vtu`) # The executable will load the mesh. The mesh can then be visualized in # different ways, for instance as a surface with edges.
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# Encoder structure : a downsampling is applied then two convolutions are done struct Encoder dspl conv end @Flux.functor Encoder (e::Encoder)(x) = x |> e.dspl |> e.conv # Decoder structure : two convolutions are done then an upsampling is applied struct Decoder conv uspl end @Flux.functor Decoder (d::Decoder)(x) = x |> d.conv |> d.uspl # Bridge structure : # - downsampling # - two convolutions # - upsampling struct Bridge dspl conv uspl end @Flux.functor Bridge (b::Bridge)(x) = x |> b.dspl |> b.conv |> b.uspl # Encoder builders function encoder(lvl) enc = [] if lvl == 1 push!(enc, identity) else push!(enc, MaxPool((2, 2))) end push!(enc, Conv((3, 3), 1=>1, pad = 1)) push!(enc, Conv((3, 3), 1=>1, pad = 1)) enc end encoder(t::Symbol, lvl) = encoder(Val(t), lvl) encoder(t::Val{:array}, lvl) = encoder(lvl) encoder(t::Val{:chain}, lvl) = Chain(encoder(lvl)...) encoder(t::Val{:struct}, lvl) = begin enc = encoder(lvl) Encoder(enc[1], Chain(enc[2], enc[3])) end # Decoder builders function decoder(lvl) dec = Any[Conv((3, 3), 2=>1, pad = 1), Conv((3, 3), 1=>1, pad = 1)] if lvl == 1 push!(dec, identity) else push!(dec, Upsample(:bilinear, scale = 2)) end dec end decoder(t::Symbol, lvl) = decoder(Val(t), lvl) decoder(t::Val{:array}, lvl) = decoder(lvl) decoder(t::Val{:chain}, lvl) = Chain(decoder(lvl)...) decoder(t::Val{:struct}, lvl) = begin dec = decoder(lvl) Decoder(Chain(dec[1], dec[2]), dec[3]) end # Bridge builders bridge() = [MaxPool((2, 2)), Conv((3, 3), 1=>1, pad = 1), Conv((3, 3), 1=>1, pad = 1), Upsample(:bilinear, scale = 2)] bridge(t::Symbol) = bridge(Val(t)) bridge(t::Val{:array}) = bridge() bridge(t::Val{:chain}) = Chain(bridge()...) bridge(t::Val{:struct}) = begin bdg = bridge() Bridge(bdg[1], Chain(bdg[2], bdg[3]), bdg[4]) end @testset "uchain" begin blkt = [:array :chain :struct] for enct ∈ blkt, dect ∈ blkt, bdgt ∈ blkt enc, dec = [], [] for l ∈ 1:2 push!(enc, encoder(enct, l)) push!(dec, decoder(dect, l)) end bdg = bridge(bdgt) model = uchain(encoders = enc, decoders = dec, bridge = bdg, connection = chcat) x = rand(Float32, 32, 32, 1, 1) @test (model(x) |> size) == (32, 32, 1, 1) end end
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""" IndependentMOKernel(k::Kernel) <: Kernel A Multi-Output kernel which assumes each output is independent of the other. """ struct IndependentMOKernel{Tkernel<:Kernel} <: MOKernel kernel::Tkernel end function (ΞΊ::IndependentMOKernel)((x, px)::Tuple{Any, Int}, (y, py)::Tuple{Any, Int}) if px == py return ΞΊ.kernel(x, y) else return 0.0 end end function kernelmatrix(k::IndependentMOKernel, x::MOInput, y::MOInput) @assert x.out_dim == y.out_dim temp = k.kernel.(x.x, permutedims(y.x)) return cat((temp for _ in 1:y.out_dim)...; dims=(1,2)) end function Base.show(io::IO, k::IndependentMOKernel) print(io, string("Independent Multi-Output Kernel\n\t", string(k.kernel))) end
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module TestIdealPoints using Base.Test import RollCallDataIO import IdealPoints import FiniteDiff io = open(joinpath("data", "senate", "112.ord"), "r") ord_file = read(RollCallDataIO.ORDFile, io) close(io) roll_call = convert( RollCallDataIO.SparseRollCall, RollCallDataIO.roll_call(ord_file), ) n_legislators, n_bills = roll_call.n_legislators, roll_call.n_bills for d in 1:2 a, b, c, misc = IdealPoints.ideal_points(ord_file, d) ΞΈ = fill( 0.0, d * n_legislators + d * n_bills + n_bills ) nlp = IdealPoints.make_nlp( d, 1.0, n_legislators, n_bills, roll_call.legislators, roll_call.bills, roll_call.votes, ) nlp_gr! = IdealPoints.make_nlp_gr( d, 1.0, n_legislators, n_bills, roll_call.legislators, roll_call.bills, roll_call.votes, ) ΞΈstar = vcat(a, b, c) @test nlp(ΞΈstar) < nlp(ΞΈ) gr = copy(ΞΈ) nlp_gr!(ΞΈ, gr) @test norm(FiniteDiff.gradient(nlp, ΞΈ) - gr) < 1e-4 nlp_gr!(ΞΈstar, gr) @test norm(FiniteDiff.gradient(nlp, ΞΈstar) - gr) < 1e-4 @test norm(gr) < 1e-4 # Check in a region around ΞΈstar that ΞΈstar produces a smaller nlp. for _ in 1:10 for i in 1:length(ΞΈ) ΞΈ[i] = ΞΈstar[i] + 0.01 * randn() end @test nlp(ΞΈstar) < nlp(ΞΈ) nlp_gr!(ΞΈ, gr) n1 = norm(gr) nlp_gr!(ΞΈstar, gr) n2 = norm(gr) @test n2 < n1 end end end
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""" graph_small_world(n::Integer, m::Integer, p::Real) Small-world network model of Watts and Strogatz (1998). # Arguments * `n` β€” number of nodes, * `k` β€” number of neighbors for each node, should be even, * `p` β€” probability of random rewiring of each edge. # References Watts, D. J., & Strogatz, S. H. (1998). Collective dynamics of β€œsmall-world” networks. Nature, 393(6684), 440–442. """ function graph_small_world(n::Integer, k::Integer, p::Real; kwargs...) @assert(n > 5, "number of nodes (n) should be > 5") @assert(0 < k < n / 2, "number of neighbors (k) is not in a valid range") @assert(k % 2 == 0, "number of neighbors (k) should be even") @assert(0 < p < 1, "rewiring probability (p) is not in (0, 1) interval") g = Graph(n; kwargs...) for i = 1:n, offset = 1:Int(k / 2) j = (i + offset - 1) % n + 1 if rand() < p || hasedge(g, i, j) while true j = rand(1:n) if j != i && !hasedge(g, i, j) break end end end addedge!(g, i, j) end return g end @deprecate(graph_smallworld, graph_small_world)
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IMGUI_DEMO_BUTTON_STATES = Dict( "basic_button" => OnOffButtons.State("Button"), "basic_button2" => Buttons.State("Button2"), ) IMGUI_DEMO_RADIO_BUTTON_GROUP_STATES = RadioButtonGroups.State("radio button group", [RadioButtons.State("radio a"), RadioButtons.State("radio b"), RadioButtons.State("radio c")]) IMGUI_DEMO_COLOR_BUTTON_STATES = [ ColorButtons.State("click##1"), ColorButtons.State("click##2"), ColorButtons.State("click##3"), ColorButtons.State("click##4"), ColorButtons.State("click##5"), ColorButtons.State("click##6"), ColorButtons.State("click##7"), ]
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# Simple implementation for tensordot and einsum for Julia, # giving max compatibility for ForwardDiff and Zygote. module TensorAnyDiff using LinearAlgebra import OMEinsum: EinCode import Zygote: @adjoint export @einmm_str, execute, contract include("tensordot.jl") include("einengine.jl") end
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export rule @rule AR(:ΞΈ, Marginalisation) (q_y_x::MultivariateNormalDistributionsFamily, q_Ξ³::GammaShapeRate, meta::ARMeta) = begin order = getorder(meta) F = getvform(meta) myx, Vyx = mean(q_y_x), cov(q_y_x) my, Vy = ar_slice(F, myx, 1:order), ar_slice(F, Vyx, 1:order, 1:order) mx, Vx = ar_slice(F, myx, order+1:2order), ar_slice(F, Vyx, order+1:2order, order+1:2order) Vyx = ar_slice(F, Vyx, order+1:2order, 1:order) mΞ³ = mean(q_Ξ³) D = mΞ³ * (Vx + mx * mx') c = ar_unit(getvform(meta), order) mΞΈ, VΞΈ = cholinv(D) * (Vyx + mx * my') * mΞ³ * c, cholinv(D) return convert(promote_variate_type(F, NormalMeanVariance), mΞΈ, VΞΈ) end
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## Initialization Filters using LinearAlgebra, FFTW generatefilters(type,dims;form=:list) = _generatefilters(Val(type),dims,Val(form)) # DCT function _generatefilters(::Val{:DCT},dims,::Val{:list}) H = _generatefilters(Val(:DCT),dims,Val(:matrix)) return Array.(_filterlist(H,dims)) end function _generatefilters(::Val{:DCT},dims,::Val{:matrix}) @assert length(dims) == 2 "Only 2D DCT is implemented" # todo @assert all(i->i==first(dims),dims) "Only square DCT is implemented" # todo temp = dct(Matrix(I,dims),1) return kron(temp,temp)' / sqrt(prod(dims)) end
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@testset "Wagner + Section" begin coupling = Coupling(Wagner(), Section()) # test provided jacobians coupling_jacobian_tests(coupling) # test consistency of input/output functions coupling_io_tests(coupling) end
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2.659341
91
using TcpInstruments using Test scope = initialize(AgilentDSOX4034A) @info "Successfully connected $(scope.model) at $(scope.address)" """ Spec: > scope_h = initialize("192.168.1.15") Grab data from channel 1 > data_struct = get_data(scope_h, 1) Grab data from channel 2 and 4 > data_struct = get_data(scope_h, [2,4]) Low Pass Filter Turn on Low Pass Filter 25 > lpf_on(scope) Check if low pass filter is on > get_lpf_state(scope) == "1" Turn on Low Pass Filter 25MHz > lpf_off(scope) > get_lpf_state(scope) == "0" Impedance > set_impedance_1Mohm(scope_h) > get_impedance(scope_h) == ONEM > set_impedance_50ohm(scope_h) > get_impedance(scope_h) == FIFT Terminate TCP connection > terminate(scope_h) """ data = get_data(scope, 1) data2 = get_data(scope, [1,2]) @info typeof(data2) @test !isempty(data.volt) @test !isempty(data.time) @info get_lpf_state(scope) lpf_on(scope) @info get_lpf_state(scope) lpf_off(scope) @info get_lpf_state(scope) @info get_impedance(scope) set_impedance_1Mohm(scope) @info get_impedance(scope) set_impedance_50ohm(scope) @info get_impedance(scope) # plot(data) terminate(scope) @info "Successfully disconnected" @info "Goodbye"
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2.437113
485
export rim """ `h, seed = rim([s,] xs, xr, L, T60, Nt, Fs)` Randomized Image Source Method #### Arguments: * `s` : (Optional) Source signals * `xs` : Source position in meters (must be a Tuple) * `xr` : Microphone position in meters (must be a `Tuple` or a `Vector{Tuple}` for mic array) * `Nt` : Time samples * `L` : 3 element `Tuple` containing dimensions of the room * `beta`/`T60` : 6 element `Tuple` containing reflection coefficients of walls/reverberation time * `Nt` : length of the RIR * `Fs` : sampling frequency #### Keyword Arguments: * `c = 343` : speed of sound * `Rd = 1e-2` : random displacement (in meters) * `N = (0,0,0)`: 3 element `Tuple` representing order of reflection when `N == (0;0;0)` full order is computed. * `Tw = 20` : taps of fractional delay filter * `Fc = 0.9` : cut-off frequency of fractional delay filter #### Outputs: * `h`: vector or matrix where each column is an impulse response or the sound pressure if `s` was specified corresponding to the microphone positions `xr` * `seed`: randomization seed to preserve spatial properties when other RIR at different position are needed """ function rim(xs::NTuple{3,Number}, xr::NTuple{3,Number}, L::NTuple{3,Number}, beta::NTuple{6,Number}, Nt::Integer, Fs::Number; c::Number = 343, Rd::Number = 1e-2, seed::Integer = 1234, N::NTuple{3,Integer} = (0,0,0), Tw::Integer = 20, Fc::Number = 0.9) if any( xs .> (L[1], L[2], L[3]) ) || any( xs .< (0;0;0) ) error("xs outside domain") end if any( xr .> (L[1], L[2], L[3]) ) || any( xr .< (0, 0 , 0) ) error("xr outside domain") end if any(N .< 0 ) error("N should be positive") end Fsc = Fs/c L = L.*(Fsc*2) #convert dimensions to indices xr = xr.*Fsc xs = xs.*Fsc Rd = Rd *Fsc h = zeros(Nt) # initialize output beta = convert.(eltype(h), beta) pos_is = zeros(3) if( N == (0,0,0) ) N = floor.(Int,Nt./L).+1 # compute full order end Random.seed!(seed) if Tw == 0 run_rim!(h, xs, xr, pos_is, L, beta, N, Rd, Nt) else # with fractional delay run_rim!(h, xs, xr, pos_is, L, beta, N, Rd, Fc, Tw, Nt) end h .*= Fsc return h, seed end # with fractional delay function run_rim!(h::AbstractVector{T}, xs::X, xr::X, pos_is::AbstractVector{T}, L::X, beta::NTuple{6,T}, N::NN, Rd::T, Fc::T, Tw::I, Nt::I ) where {T <: AbstractFloat, I<:Integer, X <: NTuple{3,T}, NN <:NTuple{3,I}} beta_pow = zeros(I,6) for u = 0:1, v = 0:1, w = 0:1 for l = -N[1]:N[1], m = -N[2]:N[2], n = -N[3]:N[3] if (l ==0 && m == 0 && n == 0 && u == 0 && v == 0 && w == 0) # we have direct path, so # no displacement is added RD = 0.0 else RD = Rd end # compute distance pos_is[1] = xs[1]-2*u*xs[1]+l*L[1] + RD*(2*rand()-1) pos_is[2] = xs[2]-2*v*xs[2]+m*L[2] + RD*(2*rand()-1) pos_is[3] = xs[3]-2*w*xs[3]+n*L[3] + RD*(2*rand()-1) # position of image source d = norm( pos_is .-xr )+1 # instead of moving the source on a line # as in the paper, we are moving the source # in a cube with 2*Rd edge id = round(Int64,d) if (id > Nt || id < 1) #if index not exceed length h continue end A = get_amplitude!(beta, beta_pow, l,m,n, u,v,w, d) add_delay!(h, d, A, Tw, Fc, Nt) end end return h end # fractional delay function add_delay!(h::Array{T}, d::T, A::T, Tw::I, Fc::T, Nt::I) where { T <: AbstractFloat, I <: Integer } # create time window indx = max(ceil(I,d.-Tw/2),1):min(floor(I,d.+Tw/2),Nt) # compute filtered impulse A2 = A/2 @inbounds @simd for i in indx h[i] += A2 *( 1.0 + cos(2*Ο€*(i-d)/Tw) )*sinc(Fc*(i-d)) end return h end function get_amplitude!(beta::NTuple{6,T}, beta_pow::Array{I}, l::I,m::I,n::I, u::I,v::I,w::I, d::T) where {I <: Integer, T <: AbstractFloat} beta_pow[1] = abs(l-u) beta_pow[2] = abs(l) beta_pow[3] = abs(m-v) beta_pow[4] = abs(m) beta_pow[5] = abs(n-w) beta_pow[6] = abs(n) A = one(T) for i in eachindex(beta) A *= beta[i]^beta_pow[i] end A /= (4*Ο€*(d-1)) return A end # without fractional delay function run_rim!(h::AbstractVector{T}, xs::X, xr::X, pos_is::AbstractVector{T}, L::X, beta::NTuple{6,T}, N::NN, Rd::T, Nt::I ) where {T <: AbstractFloat, I<:Integer, X <: NTuple{3,T}, NN <:NTuple{3,I}} beta_pow = zeros(I,6) for u = 0:1, v = 0:1, w = 0:1 for l = -N[1]:N[1], m = -N[2]:N[2], n = -N[3]:N[3] if (l ==0 && m == 0 && n == 0 && u == 0 && v == 0 && w == 0) # we have direct path, so # no displacement is added RD = 0.0 else RD = Rd end # compute distance pos_is[1] = xs[1]-2*u*xs[1]+l*L[1] + RD*(2*rand()-1) pos_is[2] = xs[2]-2*v*xs[2]+m*L[2] + RD*(2*rand()-1) pos_is[3] = xs[3]-2*w*xs[3]+n*L[3] + RD*(2*rand()-1) # position of image source d = norm(pos_is .-xr)+1 # instead of moving the source on a line # as in the paper, we are moving the source # in a cube with 2*Rd edge id = round(Int64,d) if (id > Nt || id < 1) #if index not exceed length h continue end A = get_amplitude!(beta, beta_pow, l,m,n, u,v,w, d) h[id] += A end end return h end # with T60 function rim(xs::Union{ NTuple{3,Number}, Vector{NTuple{3, Number}} }, xr::Union{ NTuple{3,Number}, Vector{NTuple{3, Number}} }, L::NTuple{3,Number}, T60::Number, args...; c::Number = 343, kwargs...) beta = RIM.revTime2beta(L, T60, c) return rim(xs, xr, L, beta, args...; kwargs...) end # multiple mics function rim(xs::NTuple{3,Number}, xr::Vector, args...; kwargs...) h = () seed = 1234 for xi in xr hi, seed = rim(xs, xi, args...; kwargs...) h = (h..., hi) end return hcat(h...), seed end # with source signal function rim(s::AbstractVector, args...; kwargs...) h, seed = rim(args...; kwargs...) P = hcat([conv(s,h[:,i]) for i = 1:size(h,2)]...) return P, seed end
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1.848915
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module ExtractMacro export @extract """ @extract obj : exprs... Extracts fields from composite types. E.g. ```julia @extract x : a b # is translated to: a = x.a b = x.b ``` The colon is optional: `@extract x a b` is the same as above. Destination variable names can be changed, and arbitrary functions (including indexing) applied, e.g.: ```julia @extract x : q=b a1=abs(a[1]) ai=abs(a[i]) y=max(a[1],b) # is translated to: q = x.b a1 = abs(x.a[1]) ai = abs(x.a[i]) y = max(x.a[1], x.b) ``` Notice that the `i` within the indexing expression is left untouched: indexing is special in this regard. In order to explicitly avoid symbol manipulation on the right hand side, use `esc()`, e.g.: ```julia @extract x : y=abs(a[1] + esc(b)) # is translated to: y = abs(x.a[1] + b) # b is left untouched ``` """ macro extract(obj, vars...) ex = quote end # next block is to allow this syntax # @extract X : a b c # (basically, we need to override the parsing precedence rules) if Meta.isexpr(obj, [:(=), :(=>), :(:=)]) && Meta.isexpr(obj.args[1], :(:)) vars = Any[Expr(obj.head, obj.args[1].args[2:end]..., obj.args[2:end]...), vars...] obj = obj.args[1].args[1] elseif Meta.isexpr(obj, :(:)) vars = Any[obj.args[2], vars...] obj = obj.args[1] end for v in vars if isa(v, Symbol) ex = quote $ex $(esc(v)) = $(prepend_obj(v, obj)) end elseif isa(v, Expr) if v.head βˆ‰ [:(=), :(=>), :(:=)] error("invalid @extract argument: expression `$(v)` out of an assigment") end va = v.args @assert length(va) == 2 ex = quote $ex $(esc(va[1])) = $(prepend_obj(va[2], obj)) end end end ex end update_skiplist!(x, skip) = nothing update_skiplist!(x::Symbol, skip) = push!(skip, x) function update_skiplist!(x::Expr, skip) Meta.isexpr(x, :tuple) || return for a in x.args update_skiplist!(a, skip) end end prepend_obj(x, obj, skip=[]) = x prepend_obj(s::Symbol, obj, skip=[]) = s ∈ skip ? esc(s) : :($(esc(obj)).$s) function prepend_obj(body::Expr, obj, skip=[]) if Meta.isexpr(body, :call) if body.args[1] != :esc return Expr(body.head, Expr(:escape, body.args[1]), map(x->prepend_obj(x, obj, skip), body.args[2:end])...) else @assert length(body.args) == 2 return Expr(:escape, body.args[2]) end elseif Meta.isexpr(body, [:ref, :.]) return Expr(body.head, prepend_obj(body.args[1], obj, skip), map(esc, body.args[2:end])...) elseif Meta.isexpr(body, [:comprehension, :generator]) inner_generator = Meta.isexpr(body.args[1], :generator) args = inner_generator ? body.args[1].args : body.args length(args) == 2 || error("unsupported expression") Meta.isexpr(args[2], :(=)) || error("unsupported expression") iter = prepend_obj(args[2].args[2], obj, skip) var = args[2].args[1] update_skiplist!(var, skip) ex = prepend_obj(args[1], obj, skip) genargs = Expr(:(=), esc(var), iter) return inner_generator ? Expr(body.head, Expr(:generator, ex, genargs)) : Expr(body.head, ex, genargs) else return Expr(body.head, map(x->prepend_obj(x, obj, skip), body.args)...) end end end # module
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2.088782
1,667
map_str = "" passports = [] open("day04/day04.in") do io global map_str, passports for line in readlines(io) line = line * " " if cmp(line, " ") == 0 push!(passports, map_str) map_str = "" else map_str = map_str * line end end end pass_map = Dict( "byr" => 2, "iyr" => 3, "eyr" => 5, "hgt" => 7, "hcl" => 11, "ecl" => 13, "pid" => 17, "cid" => 19 ) pass_valid = Int64(0) for passport in passports global pass_valid checkmult = Int64(1) validity = true for item in split(passport, ' ') if occursin(":", item) item_type, item_value = split(item, ":") if length(item) > 2 checkmult *= pass_map[item_type] end if item_type == "byr" item_value = parse(Int64, item_value) validity &= 1920 <= item_value <= 2002 elseif item_type == "iyr" item_value = parse(Int64, item_value) validity &= 2010 <= item_value <= 2020 elseif item_type == "eyr" item_value = parse(Int64, item_value) validity &= 2020 <= item_value <= 2030 elseif item_type == "hgt" if occursin("in", item_value) item_value = split(item_value, "in")[1] item_value = parse(Int64, item_value) validity &= 59 <= item_value <= 76 elseif occursin("cm", item_value) item_value = split(item_value, "cm")[1] item_value = parse(Int64, item_value) validity &= 150 <= item_value <= 193 else validity = false end elseif item_type == "hcl" validity &= item_value[1] == '#' && length(item_value) == 7 for ch in item_value[2:end] validity &= '0' <= ch <= '9' || 'a' <= ch <= 'f' end elseif item_type == "ecl" validity &= item_value in ["amb", "blu", "brn", "gry", "grn", "hzl", "oth"] elseif item_type == "pid" validity &= length(item_value) == 9 for ch in item_value[1:end] validity &= '0' <= ch <= '9' end end end end if (checkmult == 9699690 || checkmult == 510510 ) && validity pass_valid += 1 end end println(pass_valid)
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35235, 7, 6603, 62, 12102, 8 ]
1.82042
1,381
function _right_sweep_SVD!(ψ::CuMPS, Dcut::Int=typemax(Int)) Ξ£ = V = CUDA.ones(eltype(ψ), 1, 1) for i ∈ eachindex(ψ) A = ψ[i] C = Diagonal(Ξ£) * V' # attach @cutensor M[x, Οƒ, y] := C[x, Ξ±] * A[Ξ±, Οƒ, y] @cast MΜƒ[(x, Οƒ), y] |= M[x, Οƒ, y] # decompose U, Ξ£, V = _truncate_svd(CUDA.svd(MΜƒ), Dcut) # create new d = physical_dim(ψ, i) @cast A[x, Οƒ, y] |= U[(x, Οƒ), y] (Οƒ:d) ψ[i] = A end end function _left_sweep_SVD!(ψ::CuMPS, Dcut::Int=typemax(Int)) Ξ£ = U = CUDA.ones(eltype(ψ), 1, 1) for i ∈ length(ψ):-1:1 B = ψ[i] C = U * Diagonal(Ξ£) # attach @cutensor M[x, Οƒ, y] := B[x, Οƒ, Ξ±] * C[Ξ±, y] @cast MΜƒ[x, (Οƒ, y)] |= M[x, Οƒ, y] # decompose U, Ξ£, V = _truncate_svd(CUDA.svd(MΜƒ), Dcut) # create new d = physical_dim(ψ, i) VV = conj.(transpose(V)) #hack - @cast does fail with allowscalar and Adjoint type @cast B[x, Οƒ, y] |= VV[x, (Οƒ, y)] (Οƒ:d) ψ[i] = B end end function _left_sweep_var!!(Ο•::CuMPS, env::Vector{<:CuMatrix}, ψ::CuMPS, Dcut::Int) S = eltype(Ο•) # overwrite the overlap env[end] = CUDA.ones(S, 1, 1) for i ∈ length(ψ):-1:1 L = env[i] R = env[i+1] # optimize site M = ψ[i] @cutensor MΜƒ[x, Οƒ, y] := L[x, Ξ²] * M[Ξ², Οƒ, Ξ±] * R[Ξ±, y] order = (Ξ±, Ξ²) # right canonize it @cast MM[x, (Οƒ, y)] |= MΜƒ[x, Οƒ, y] Q = _truncate_qr(CUDA.qr(MM'), Dcut)' Q = CuMatrix(Q) #hack @cast does not work with Adjoint d = size(M, 2) @cast B[x, Οƒ, y] |= Q[x, (Οƒ, y)] (Οƒ:d) # update Ο• and right environment Ο•[i] = B A = ψ[i] @cutensor RR[x, y] := A[x, Οƒ, Ξ±] * R[Ξ±, Ξ²] * conj(B[y, Οƒ, Ξ²]) order = (Ξ², Ξ±, Οƒ) env[i] = RR end end function _right_sweep_var!!(Ο•::CuMPS, env::Vector{<:CuMatrix}, ψ::CuMPS, Dcut::Int) S = eltype(Ο•) # overwrite the overlap env[1] = CUDA.ones(S, 1, 1) for i ∈ eachindex(ψ) L = env[i] R = env[i+1] # optimize site M = ψ[i] @cutensor MΜƒ[x, Οƒ, y] := L[x, Ξ²] * M[Ξ², Οƒ, Ξ±] * R[Ξ±, y] order = (Ξ±, Ξ²) # left canonize it @cast B[(x, Οƒ), y] |= MΜƒ[x, Οƒ, y] Q = _truncate_qr(CUDA.qr(B), Dcut) d = size(Ο•[i], 2) @cast A[x, Οƒ, y] |= Q[(x, Οƒ), y] (Οƒ:d) # update Ο• and left environment Ο•[i] = A B = ψ[i] @cutensor LL[x, y] := conj(A[Ξ², Οƒ, x]) * L[Ξ², Ξ±] * B[Ξ±, Οƒ, y] order = (Ξ±, Ξ², Οƒ) env[i+1] = LL end return real(tr(env[end])) end function _qr_fix!(Q::CuMatrix, R::CuMatrix) d = diag(R) ph = d./abs.(d) transpose(ph) .* Q end
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1.608023
1,745
using Mdp using Test @testset "VI.jl" begin include("test_vi.jl") end @testset "FH.jl" begin include("test_fh.jl") end include("test_pricing_problem.jl") @testset "PricingAlgorithmFH.jl" begin include("test_pricing_algorithm_fh.jl") end
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2.351852
108
module MolSimPy export MatSciPy include("MatSciPy.jl") using .MatSciPy using ASE: ASEAtoms end # module
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2.4
45
""" `BufferedInputStream{T}` provides buffered reading from a source of type `T`. Any type `T` wrapped in a `BufferedInputStream` must implement: BufferedStreams.readbytes!(source::T, buffer::Vector{UInt8}, from::Int, to::Int) This function should: * refill `buffer` starting at `from` and not filling past `to`. * return the number of bytes read. Failure to read any new data into the buffer is interpreted as eof. """ mutable struct BufferedInputStream{T} <: IO source::T buffer::Vector{UInt8} # Position of the next byte to be read in buffer; # `position ≀ 0` indicates that the stream is closed. position::Int # Number of bytes available in buffer. # I.e. buffer[1:available] is valid data. available::Int # If positive, preserve and move buffer[anchor:available] # when refilling the buffer. anchor::Int # If `true`, buffered data `buffer[anchor:available]` is not shifted. immobilized::Bool end function BufferedInputStream(source::T, bufsize::Integer = default_buffer_size) where T if bufsize ≀ 0 throw(ArgumentError("buffer size must be positive")) end return BufferedInputStream{T}(source, Vector{UInt8}(undef, bufsize), 1, 0, 0, false) end function Base.show(io::IO, stream::BufferedInputStream{T}) where T bufsize = length(stream.buffer) filled = stream.available - stream.position + 1 if isopen(stream) print(io, summary(stream), "(<", _datasize(bufsize), " buffer, ", round(Int, filled / bufsize * 100), "% filled", stream.immobilized ? ", data immobilized" : "", ">)") else print(io, summary(stream), "(<closed>)") end end """ Refill the buffer, optionally moving and retaining part of the data. """ function fillbuffer!(stream::BufferedInputStream) if eof(stream.source) return 0 end shiftdata!(stream) margin = length(stream.buffer) - stream.available if margin == 0 resize!(stream.buffer, length(stream.buffer) * 2) end nbytes = readbytes!( stream.source, stream.buffer, stream.available + 1, length(stream.buffer)) stream.available += nbytes return nbytes end # Shift data to be kept. function shiftdata!(stream::BufferedInputStream) if stream.immobilized return 0 else if stream.anchor > 0 && stream.available - stream.anchor + 1 > 0 shift = stream.anchor - 1 n = stream.available - shift copyto!(stream.buffer, 1, stream.buffer, stream.anchor, n) stream.anchor -= shift elseif stream.available - stream.position + 1 > 0 shift = stream.position - 1 n = stream.available - shift copyto!(stream.buffer, 1, stream.buffer, stream.position, n) else # no data to be kept @assert stream.position > stream.available shift = stream.available end stream.position -= shift stream.available -= shift return shift end end @inline function Base.eof(stream::BufferedInputStream) if stream.position > stream.available return fillbuffer!(stream) == 0 else return false end end @inline function Base.bytesavailable(stream::BufferedInputStream) if eof(stream) return 0 else return stream.available - stream.position + 1 end end @inline function Base.readavailable(stream::BufferedInputStream) read(stream, bytesavailable(stream)) end @inline function Base.skip(stream::BufferedInputStream, n_::Integer) n0 = n = convert(Int, n_) if n < 0 throw(ArgumentError("n must be non-negative in skip(::BufferedInputStream, n)")) end while stream.position + n > stream.available + 1 n -= stream.available - stream.position + 1 stream.position = stream.available + 1 if fillbuffer!(stream) < 1 throw(EOFError()) end end stream.position += n return n0 end @inline function checkopen(stream::BufferedInputStream) if !isopen(stream) error("buffered input stream is already closed") end end """ Return the next byte from the input stream without advancing the position. """ @inline function peek(stream::BufferedInputStream) checkopen(stream) if stream.position > stream.available if fillbuffer!(stream) < 1 throw(EOFError()) end end @inbounds c = stream.buffer[stream.position] return c end """ Fills `buffer` with bytes from `stream`'s buffer without advancing the position. Unless the buffer is empty, we do not re-fill it. Therefore the number of bytes read is limited to the minimum of `nb` and the remaining bytes in the buffer. """ function peekbytes!(stream::BufferedInputStream, buffer::AbstractArray{UInt8}, nb=length(buffer)) checkopen(stream) if stream.position > stream.available if fillbuffer!(stream) < 1 throw(EOFError()) end end nb = min(nb, stream.available - stream.position + 1) copyto!(buffer, 1, stream.buffer, stream.position, nb) return nb end @inline function Base.read(stream::BufferedInputStream, ::Type{UInt8}) checkopen(stream) if stream.position > stream.available if fillbuffer!(stream) < 1 throw(EOFError()) end end @inbounds c = stream.buffer[stream.position] stream.position += 1 return c end # fast multi-byte data readers for T in [Int16, UInt16, Int32, UInt32, Int64, UInt64, Int128, UInt128, Float16, Float32, Float64] @eval begin @inline function Base.read(stream::BufferedInputStream, ::Type{$(T)}) checkopen(stream) if !ensurebuffered!(stream, $(sizeof(T))) throw(EOFError()) end ptr::Ptr{$(T)} = pointer(stream) ret = unsafe_load(ptr) stream.position += $(sizeof(T)) return ret end end end if isdefined(Base, :unsafe_read) function Base.unsafe_read(stream::BufferedInputStream, ptr::Ptr{UInt8}, nb::UInt) p = ptr p_end = ptr + nb while p < p_end if ensurebuffered!(stream, 1) n = min(p_end - p, available_bytes(stream)) ccall(:memcpy, Cvoid, (Ptr{Cvoid}, Ptr{Cvoid}, Csize_t), p, pointer(stream), n) p += n stream.position += n else throw(EOFError()) end end return nothing end end # Special purpose readuntil for plain bytes. function Base.readuntil(stream::BufferedInputStream, delim::UInt8) checkopen(stream) anchor!(stream) while true p0 = pointer(stream.buffer, stream.position) p1 = ccall(:memchr, Ptr{UInt8}, (Ptr{UInt8}, Cint, Csize_t), p0, delim, stream.available - stream.position + 1) if p1 != C_NULL stream.position += p1 - p0 break else stream.position = stream.available + 1 nb = fillbuffer!(stream) if nb == 0 chunk = takeanchored!(stream) return chunk end end end chunk = stream.buffer[upanchor!(stream):stream.position] stream.position += 1 return chunk end function readbytes!(stream::BufferedInputStream, buffer::AbstractArray{UInt8}, nb=length(buffer)) return readbytes!(stream, buffer, 1, nb) end function readbytes!(stream::BufferedInputStream, buffer::AbstractArray{UInt8}, from::Int, to::Int) p = from while !eof(stream) && p ≀ to @assert ensurebuffered!(stream, 1) n = min(to - p + 1, stream.available - stream.position + 1) copyto!(buffer, p, stream.buffer, stream.position, n) p += n stream.position += n end return p - from end function Base.ismarked(stream::BufferedInputStream) return stream.anchor > 0 end function Base.mark(stream::BufferedInputStream) stream.anchor = stream.position return stream.anchor end function Base.unmark(stream::BufferedInputStream) if !ismarked(stream) return false end stream.anchor = 0 return true end function Base.reset(stream::BufferedInputStream) if !ismarked(stream) error("buffered stream is not marked") end anchor = stream.anchor stream.position = anchor unmark(stream) return anchor end """ Return true if the stream is anchored. """ function isanchored(stream::BufferedInputStream) return stream.anchor > 0 end """ Set the buffer's anchor to its current position. """ function anchor!(stream::BufferedInputStream) stream.anchor = stream.position end """ Remove and return a buffer's anchor. """ function upanchor!(stream::BufferedInputStream) anchor = stream.anchor stream.anchor = 0 return anchor end """ Copy and return a byte array from the anchor up to, but not including the current position, also removing the anchor. """ function takeanchored!(stream::BufferedInputStream) if stream.position - 1 > stream.available throw(EOFError()) end chunk = stream.buffer[stream.anchor:stream.position - 1] upanchor!(stream) return chunk end function Base.position(stream::BufferedInputStream) return position(stream.source) - stream.available + stream.position - 1 end function Base.seek(stream::BufferedInputStream{T}, pos::Integer) where T if applicable(seek, stream.source, pos) upanchor!(stream) source_position = position(stream.source) # is the new position within the buffer? if source_position - stream.available <= pos <= source_position stream.position = 1 + pos - (source_position - stream.available) else seek(stream.source, pos) stream.position = 1 stream.available = 0 end else throw(ArgumentError( string("Can't seek in input stream with source of type ", T))) # TODO: Allow seeking forwards by just reading and discarding input end end function Base.isopen(stream::BufferedInputStream) return stream.position > 0 end function Base.close(stream::BufferedInputStream) if !isopen(stream) return end if applicable(close, stream.source) close(stream.source) end stream.position = 0 empty!(stream.buffer) return end function Base.pointer(stream::BufferedInputStream, index::Integer=1) return pointer(stream.buffer, stream.position + index - 1) end @inline function available_bytes(stream::BufferedInputStream) return stream.available - stream.position + 1 end @inline function ensurebuffered!(stream::BufferedInputStream, nb::Integer) if available_bytes(stream) < nb fillbuffer!(stream) if available_bytes(stream) < nb return false end end return true end
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2.483958
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## DeltaF/F function deltaFF(fs::AxisArray,Fo::Array{Float64,1},B=0.0) length(Fo) != size(fs)[2] ? error("Fo vector should be the same length as the number of ROIs in the series.") : Fo = permutedims(Fo) newF = (fs .- Fo)./(Fo .-B) AxisArray(newF,AxisArrays.axes(fs)...) end
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2.291339
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# ****************************************************************************************** # Notices: # # Copyright Β© 2022 United States Government as represented by the Administrator of the # National Aeronautics and Space Administration. All Rights Reserved. # # Disclaimers # # No Warranty: THE SUBJECT SOFTWARE IS PROVIDED "AS IS" WITHOUT ANY WARRANTY OF ANY KIND, # EITHER EXPRESSED, IMPLIED, OR STATUTORY, INCLUDING, BUT NOT LIMITED TO, ANY WARRANTY # THAT THE SUBJECT SOFTWARE WILL CONFORM TO SPECIFICATIONS, ANY IMPLIED WARRANTIES OF # MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE, OR FREEDOM FROM INFRINGEMENT, ANY # WARRANTY THAT THE SUBJECT SOFTWARE WILL BE ERROR FREE, OR ANY WARRANTY THAT DOCUMENTATION, # IF PROVIDED, WILL CONFORM TO THE SUBJECT SOFTWARE. THIS AGREEMENT DOES NOT, IN ANY MANNER, # CONSTITUTE AN ENDORSEMENT BY GOVERNMENT AGENCY OR ANY PRIOR RECIPIENT OF ANY RESULTS, # RESULTING DESIGNS, HARDWARE, SOFTWARE PRODUCTS OR ANY OTHER APPLICATIONS RESULTING FROM # USE OF THE SUBJECT SOFTWARE. FURTHER, GOVERNMENT AGENCY DISCLAIMS ALL WARRANTIES AND # LIABILITIES REGARDING THIRD-PARTY SOFTWARE, IF PRESENT IN THE ORIGINAL SOFTWARE, AND # DISTRIBUTES IT "AS IS." # # Waiver and Indemnity: RECIPIENT AGREES TO WAIVE ANY AND ALL CLAIMS AGAINST THE UNITED # STATES GOVERNMENT, ITS CONTRACTORS AND SUBCONTRACTORS, AS WELL AS ANY PRIOR RECIPIENT. # IF RECIPIENT'S USE OF THE SUBJECT SOFTWARE RESULTS IN ANY LIABILITIES, DEMANDS, DAMAGES, # EXPENSES OR LOSSES ARISING FROM SUCH USE, INCLUDING ANY DAMAGES FROM PRODUCTS BASED ON, # OR RESULTING FROM, RECIPIENT'S USE OF THE SUBJECT SOFTWARE, RECIPIENT SHALL INDEMNIFY AND # HOLD HARMLESS THE UNITED STATES GOVERNMENT, ITS CONTRACTORS AND SUBCONTRACTORS, AS WELL # AS ANY PRIOR RECIPIENT, TO THE EXTENT PERMITTED BY LAW. RECIPIENT'S SOLE REMEDY FOR ANY # SUCH MATTER SHALL BE THE IMMEDIATE, UNILATERAL TERMINATION OF THIS AGREEMENT. # ****************************************************************************************** """ Reset MDP. """ function reset!(mdp::ASTMDP) reset!(mdp.sim) reset!(mdp.reward.heuristic) return nothing end """ Return set of available actions as sampleable object. # TODO: not type-stable. """ function actions(mdp::ASTMDP{<:State, SampleAction}) env = environment(mdp.sim) return mdp.flatten ? Flat(env) : env end actions(::ASTMDP{<:State, SeedAction}) = UInt32 """ Return observation of environment. """ observe(mdp::ASTMDP{ObservableState, <:Action}) = Float32.(observe(mdp.sim)) """ Step simulation and return log probability of transition. """ function evaluate!(mdp::ASTMDP{<:State, A}, a::A) where A <: SampleAction env = environment(mdp.sim) val = a.sample logp = logprob(env, val, mdp.reward.marginalize) step!(mdp.sim, val) return logp end function evaluate!(mdp::ASTMDP{<:State, A}, a::A) where A <: SeedAction copy!(RNG_TEMP[], mdp.rng) Random.seed!(mdp.rng, a.seed) logp = step!(mdp.rng, mdp.sim) copy!(mdp.rng, RNG_TEMP[]) return logp end """ Apply raw action to environment and return reward. """ act!(mdp::ASTMDP{<:State, <:Action}, action) = act!(mdp, convert_a(mdp, action)) """ Apply converted action to environment and return reward. """ function act!(mdp::ASTMDP{<:State, A}, a::A) where A <: Action # rewards (partial application) event = mdp.episodic ? isterminal(mdp.sim) && isevent(mdp.sim) : isevent(mdp.sim) bonus = event ? mdp.reward.event_bonus : 0.0 heur = mdp.reward.heuristic(mdp) rew = custom_reward(mdp.sim, a) # stepping and likelihood evaluation logp = evaluate!(mdp, a) # final reward calculation return mdp.reward.reward_function(logp, bonus, heur(mdp)) + rew(mdp.sim) end """ Return Boolean indicating termination status. """ terminated(mdp::ASTMDP) = isterminal(mdp.sim) || !mdp.episodic && isevent(mdp.sim) # Connection between AdaStress internal functions and CommonRLInterface CommonRLInterface.reset!(mdp::AbstractASTMDP) = reset!(mdp) CommonRLInterface.actions(mdp::AbstractASTMDP) = actions(mdp) CommonRLInterface.observe(mdp::AbstractASTMDP) = observe(mdp) CommonRLInterface.act!(mdp::AbstractASTMDP, action) = act!(mdp, action) CommonRLInterface.terminated(mdp::AbstractASTMDP) = terminated(mdp)
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open(IO ->write(IO, read("file1", String)), "file2", "w")
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@testset "FairEvaluate Benchmarking" begin model = ConstantClassifier() X, y = @load_toydata results = fairevaluate([model, model], X, y, grp=:Sex, priv_grps=["M"]) @test length(results)==5 @test size(results["measures"])==(1,) @test size(results["pvalues"])==(1, 2, 2) @test size(results["classifier_names"])==(2,) @test size(results["results"])==(1, 2, 6) @test size(results["tstats"])==(1, 2, 2) end
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abstract AbstractGeometry import Base: size include("getNodeProperty.jl") include("cuboidRoom.jl") #include("LShapedRoom.jl") size(f::AbstractGeometry) = (f.Nx,f.Ny,f.Nz) function Base.show(io::IO, f::AbstractGeometry) println(io, "geometry : ", fun_name(f)) println(io, "dimensions : ", fun_dim(f)) println(io, "samples : ", fun_Nxyz(f)) println(io, "ΞΎ : ", fun_ΞΎ(f)) println(io, "spatial step : ", fun_X(f)) println(io, "sampling frq.: ", fun_Fs(f)) end
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export show_plan ### DAG-based graphing function write_node(io, t::Thunk, c) f = isa(t.f, Function) ? "$(t.f)" : "fn" println(io, "n_$(t.id) [label=\"$f - $(t.id)\"];") c end dec(x) = Base.dec(x, 0, false) function write_node(io, t, c, id=dec(hash(t))) l = replace(node_label(t), "\""=>"") println(io, "n_$id", " [label=\"$l\"];") c end function node_label(t) iob = IOBuffer() Base.show(iob, t) String(take!(iob)) end function node_label(x::T) where T<:AbstractArray "$T\nShape: $(size(x))\nSize: $(pretty_size(sizeof(x)))" end global _part_labels = Dict() function write_node(io, t::Chunk, c) _part_labels[t]="part_$c" c+1 end function node_id(t::Thunk) t.id end function node_id(t) dec(hash(t)) end function node_id(t::Chunk) _part_labels[t] end function write_dag(io, t::Thunk) !istask(t) && return deps = dependents(t) c=1 for k in keys(deps) c = write_node(io, k, c) end for (k, v) in deps for dep in v if isa(k, Union{Chunk, Thunk}) println(io, "$(node_id(k)) -> $(node_id(dep))") end end end end ### Timespan-based graphing pretty_time(ts::Timespan) = pretty_time(ts.finish-ts.start) function pretty_time(t) r(t) = round(t; digits=3) if t > 1000^3 "$(r(t/(1000^3))) s" elseif t > 1000^2 "$(r(t/(1000^2))) ms" elseif t > 1000 "$(r(t/1000)) us" else "$(r(t)) ns" end end function pretty_size(sz) if sz > 1024^4 "$(sz/(1024^4)) TB (terabytes)" elseif sz > 1024^3 "$(sz/(1024^3)) GB (gigabytes)" elseif sz > 1024^2 "$(sz/(1024^2)) MB (megabytes)" elseif sz > 1024 "$(sz/1024) KB (kilobytes)" else "$sz B (bytes)" end end function write_node(io, ts::Timespan, c) f, res_type, res_sz = ts.timeline f = isa(f, Function) ? "$f" : "fn" t_comp = pretty_time(ts) sz_comp = pretty_size(res_sz) println(io, "n_$(ts.id) [label=\"$f - $(ts.id)\nCompute: $t_comp\nResult Type: $res_type\nResult Size: $sz_comp\"]") c end function write_edge(io, ts_comm::Timespan, logs) f, id = ts_comm.timeline # FIXME: We should print these edges too id === nothing && return t_comm = pretty_time(ts_comm) print(io, "n_$id -> n_$(ts_comm.id[1]) [label=\"Comm: $t_comm") ts_idx = findfirst(x->x.category==:move && ts_comm.id==x.id && id==x.timeline[2], logs) if ts_idx !== nothing ts_move = logs[ts_idx] t_move = pretty_time(ts_move) print(io, "\nMove: $t_move") end println(io, "\"];") end write_edge(io, from::String, to::String) = println(io, "n_$from -> n_$to") getargs!(d, t) = nothing function getargs!(d, t::Thunk) d[t.id] = [filter(!istask, [t.inputs...,])...,] foreach(i->getargs!(d, i), t.inputs) end function write_dag(io, logs::Vector, t=nothing) argmap = Dict{Int,Vector}() getargs!(argmap, t) c = 1 for ts in filter(x->x.category==:compute, logs) c = write_node(io, ts, c) end argnodemap = Dict{Int,Vector{String}}() argids = IdDict{Any,String}() for id in keys(argmap) nodes = String[] arg_c = 1 for arg in argmap[id] name = "$(id)_arg_$(arg_c)" if !isimmutable(arg) if arg in keys(argids) name = argids[arg] else argids[arg] = name c = write_node(io, arg, c, name) end push!(nodes, name) else c = write_node(io, arg, c, name) push!(nodes, name) end end argnodemap[id] = nodes end for ts in filter(x->x.category==:comm, logs) write_edge(io, ts, logs) end for id in keys(argnodemap) for arg in argnodemap[id] write_edge(io, arg, string(id)) end end end function show_plan(io::IO, t) print(io, """digraph { graph [layout=dot, rankdir=TB];""") write_dag(io, t) println(io, "}") end function show_plan(io::IO, logs::Vector{Timespan}, t::Thunk) print(io, """digraph { graph [layout=dot, rankdir=TB];""") write_dag(io, logs, t) println(io, "}") end function show_plan(t::Union{Thunk,Vector{Timespan}}) io = IOBuffer() show_plan(io, t) return String(take!(io)) end function show_plan(logs::Vector{Timespan}, t::Thunk) io = IOBuffer() show_plan(io, logs, t) return String(take!(io)) end function show_plan(c) t = thunkize(Context(), stage(Context(), c)) show_plan(t) end function show_plan(t::Tuple) show_plan(TupleCompute(t)) end # function printing argname(x::Symbol) = x function argname(x) @assert x.head == :(::) x.args[1] end function show_statement(io, x) if x.head == :return x = x.args[1] end print(io, x) end function fnbody(io, x) body = x.args[3] statements = filter(x -> !isa(x, LineNumberNode), body.args) for s in statements show_statement(io, s) end end function show_ast(io, f) ast = Base.uncompressed_ast(f.code) args = map(x -> string(argname(x)), ast.args[1]) write(io, "(", join(args, ','), ") -> ") fnbody(io, ast) end function showfn(io, f::Function) if isa(f, Function) show(io, f) else show_ast(io, f) end end showfn(io, f) = show(io, f)
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1.952111
2,819
using Plots using StatsBase f1(point)=[0.00 0.00 ; 0.00 0.16]*point f2(point)=[0.85 0.04 ; -0.04 0.85]*point + [0.00 ; 1.60] f3(point)=[0.20 -0.26 ; 0.23 0.22]*point + [0.00 ; 1.60] f4(point)=[-0.15 0.28 ; 0.26 0.24]*point + [0.00 ; 0.44] f_list=[f1, f2, f3, f4] p=100 num=500000 finalPoints=[] for number_of_points in 1:num (number_of_points==1) ? (point=point=[0.0; 0.0]) : (point=[rand();rand()]) for number_of_iteration in 1:p weights=[0.01,0.85,0.07,0.07] items=[f1, f2, f3, f4] point=sample(items, Weights(weights))(point) end push!(finalPoints, point) end scatter(hcat(finalPoints...)[1,:], hcat(finalPoints...)[2,:],markersize=0.7, color=:green, xlabel="x", ylabel="y", legend=false) savefig("C:\\Users\\Narges\\Documents\\GitHub\\computational_physics\\chapter2\\report\\RandomBarnsleyFern.png")
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2.065693
411
using Test, JuMP const MOIT = MOI.Test const MOIB = MOI.Bridges function _model(optimizer::MOI.AbstractOptimizer) MOI.empty!(optimizer) return direct_model(optimizer) end function _model(factory::OptimizerFactory) return Model(factory) end #""" # @test_suite setname subsets # #Defines a function `setname_test(model, config, exclude)` that runs the tests #defined in the dictionary `setname_tests` with the model `model` and config #`config` except the tests whose dictionary key is in `exclude`. If `subsets` is #`true` then each test runs in fact multiple tests hence the `exclude` argument #is passed as it can also contains test to be excluded from these subsets of #tests. #""" macro test_suite(setname, subsets=false) testname = Symbol(string(setname) * "_test") testdict = Symbol(string(testname) * "s") if subsets runtest = :( f(model, config, exclude) ) else runtest = :( f(model, config) ) end esc(:( function $testname(model::Union{$MOI.ModelLike, OptimizerFactory}, config::$MOI.Test.TestConfig, exclude::Vector{String} = String[]) for (name,f) in $testdict if name in exclude continue end @testset "$name" begin $runtest end end end )) end function test_noc(model, F, S, n) @test MOI.get(model, MOI.NumberOfConstraints{F, S}()) == n @test length(MOI.get(model, MOI.ListOfConstraintIndices{F, S}())) == n @test ((F, S) in MOI.get(model, MOI.ListOfConstraints())) == !iszero(n) end # Test deletion of bridge function test_delete_bridge(model::Model, cref::ConstraintRef{Model, MOI.ConstraintIndex{F, S}}, nvars::Int, nocs::Tuple) where {F, S} @test num_variables(model) == nvars test_noc(model, F, S, 1) for noc in nocs test_noc(model, noc...) end @test is_valid(model, cref) delete(model, cref) @test_throws MOI.InvalidIndex(index(cref)) delete(model, cref) @test !is_valid(model, cref) test_noc(model, F, S, 0) # As the bridge has been removed, if the constraints it has created where not removed, it wouldn't be there to decrease this counter anymore @test num_variables(model) == nvars for noc in nocs test_noc(model, noc...) end end
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2.197705
1,133
using Dates, Printf using Plots using LongwaveModePropagator using LMPTools # Ground tx = TRANSMITTER[:NAA] rx = Receiver("Boulder", 40.01, -105.244, 0.0, VerticalDipole()) sigmas = [get_sigma(y, x) for y in LAT, x in LON] heatmap(LON, LAT, sigmas, clims=(0, 0.11)) epsilons = [get_epsilon(y, x) for y in LAT, x in LON] heatmap(LON, LAT, epsilons, clims=(0, 20)) pts = [forward(tx.longitude, tx.latitude, az, d) for d in distances] heatmap(LON, LAT, sigmas, clims=(0, 0.11), xlims=(-110, -65), ylims=(35, 48)) scatter!(getfield.(pts, :lon), getfield.(pts, :lat)) # Magnetic field # Compare to LWPC tx = Transmitter{VerticalDipole}("fdtdnaa", 44.646, -67.281, VerticalDipole(), Frequency(24e3), 100e3) rx = Receiver("Boulder", 40.01, -105.244, 0.0, VerticalDipole()) grounds, distances = groundsegments(tx.latitude, tx.longitude, rx.latitude, rx.longitude; require_permittivity_change=false) bfields = igrf(tx, rx, 2020, distances) species = Species(LMP.QE, LMP.ME, z->waitprofile(z, 82, 0.55), electroncollisionfrequency) ground = GROUND[10] wvg = SegmentedWaveguide([HomogeneousWaveguide(bfields[i], species, ground, distances[i]) for i in 1:length(distances)]) sampler = GroundSampler(0:5e3:2000e3, Fields.Ez) e, a, p = propagate(wvg, tx, sampler) ld, la, lp = readlog(LMPTools.project_path("data", "bfield.log")) plot(sampler.distance/1000, a, label="LMP", ylabel="Amplitude (dB)", xlabel="Range (km)", linewidth=1.5) plot!(ld, la, label="LWPC", linewidth=1.5) # Zenith angle dt = DateTime(2021, 2, 1) lats = 15:89 lons = -160:-60 szas = [zenithangle(la, lo, dt) for la in lats, lo in lons] heatmap(lons, lats, szas, color=cgrad(:starrynight, [50, 70, 80, 85, 90, 95, 100, 110, 130]/180, rev=true), clims=(0, 180)) function gpmap(file, lats::AbstractRange, lons::AbstractRange, data) size(data) == (length(lats), length(lons)) || throw(ArgumentError("data not compatible with lats, lons")) issorted(lons) && issorted(lats) || throw(ArgumentError("lats and lons must be sorted")) Ξ΄lat = step(lats)/2 Ξ΄lon = step(lons)/2 open(file, "w") do f for j in eachindex(lons) for i in eachindex(lats) str = @sprintf("%f, %f, %f\n", lons[j]-Ξ΄lon, lats[i]-Ξ΄lat, szas[i,j]) write(f, str) str = @sprintf("%f, %f, %f\n", lons[j]-Ξ΄lon, lats[i]+Ξ΄lat, szas[i,j]) write(f, str) str = @sprintf("%f, %f, %f\n", lons[j]+Ξ΄lon, lats[i]+Ξ΄lat, szas[i,j]) write(f, str) str = @sprintf("%f, %f, %f\n", lons[j]+Ξ΄lon, lats[i]-Ξ΄lat, szas[i,j]) write(f, str) write(f, "\n") end end end end dt = DateTime(2021, 2, 1) lats = 35:60 lons = -110:-75 szas = [zenithangle(la, lo, dt) for la in lats, lo in lons] gpmap("szas.csv", lats, lons, szas) function gppm3d(file, lats, lons, data) lon=vec([lo for la in lats, lo in lons]) lat=vec([la for la in lats, lo in lons]) sza=vec(szas) open(file, "w") do f for j in eachindex(lons) for i in eachindex(lats) str = @sprintf("%f, %f, %f\n", lons[j], lats[i], szas[i,j]) write(f, str) end write(f, "\n") end end end dt = DateTime(2021, 2, 1) lats = 40:65 lons = -145:-60 szas = [zenithangle(la, lo, dt) for la in lats, lo in lons] gppm3d("szas_3col.csv", lats, lons, szas) # Ionospheres dt = DateTime(2021, 2, 1) lats = 15:89 lons = -160:-60 x = [ferguson(la, zenithangle(la, lo, dt), dt) for la in lats, lo in lons] heatmap(lons, lats, getindex.(x,1), color=:amp, clims=(68, 90)) dt = DateTime(2020, 3, 1, 2) szas = [zenithangle(la, lo, dt) for la in lats, lo in lons] heatmap(lons, lats, szas, color=cgrad(:starrynight, [50, 70, 80, 85, 90, 95, 100, 110, 130]/180, rev=true), clims=(0, 180)) hprimes, betas = flatlinearterminator(szas) heatmap(lons, lats, hprimes, color=:amp, clims=(68, 90)) heatmap(lons, lats, betas, color=:tempo, clims=(0.2, 0.6)) ionos = smoothterminator.(szas) heatmap(lons, lats, getindex.(ionos,1), color=:amp, clims=(68, 90)) heatmap(lons, lats, getindex.(ionos,2), color=:tempo, clims=(0.2, 0.6))
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# Note on genome representation - p_int is a vector of integers of length n_gene,encoding gene type. # p_float is an n_gene x 8 array encoding the real values for each gene (each row is a gene) # Hence p_int[1] is the associated type of gene p_float[1,:] function initialise_grn(p_float::Array{Float64,2},p_int::Vector{Int64},grn_config::FGRNConfig) n_rec = 0 n_beh = 0 n_reg = 0 n_env = 0 n = grn_config.protein_size for i in 1:size(p_int,1) if p_int[i] == 1 n_rec += 1 elseif p_int[i] == 2 n_beh += 1 elseif p_int[i] == 3 n_reg += 1 else n_env +=1 end end grn = ( rec_coding = ones(Int,n,n,n_rec), beh_coding = ones(Int,n,n,n_beh), reg_coding = ones(Int,n,n,n_reg), env_coding = ones(Int,n,n,n_env), rec_prom = ones(Int,n,n,n_rec), beh_prom = ones(Int,n,n,n_beh), reg_prom = ones(Int,n,n,n_reg), env_prom = ones(Int,n,n,n_env), rec_cod_thresh = zeros(Float64,n_rec), rec_aff_thresh = zeros(Float64,n_rec), rec_id = ones(Int,n_rec), beh_cod_thresh = zeros(Float64,n_beh), beh_aff_thresh = zeros(Float64,n_beh), beh_id = ones(Int,n_beh), reg_cod_thresh = zeros(Float64,n_reg), reg_aff_thresh = zeros(Float64,n_reg), reg_id = ones(Int,n_reg), env_cod_thresh = zeros(Float64,n_env), env_aff_thresh = zeros(Float64,n_env), env_id = ones(Int,n_env), Ct = grn_config.Ct, # assume average affinity = 0.3 ish, average affinity th - 0.5 as uniform Cs = grn_config.Cs, # assume average affinity = 0.3 ish, average affinity th - 0.5 as uniform Cw = grn_config.Cw, Cp = grn_config.Cp, Ci = grn_config.Ci, ) n_rec = 0 n_beh = 0 n_reg = 0 n_env = 0 for i in 1:size(p_int,1) coding = mandelbrot_protein(p_float[i,1:3],grn_config.mandel_thresh,grn_config.max_iter,n) promoter = mandelbrot_protein(p_float[i,4:6],grn_config.mandel_thresh,grn_config.max_iter,n) threshold = p_float[i,7] affinity = p_float[i,8] if p_int[i] == 1 n_rec += 1 grn.rec_coding[:,:,n_rec] = coding grn.rec_prom[:,:,n_rec] = promoter grn.rec_cod_thresh[n_rec] = threshold grn.rec_aff_thresh[n_rec] = affinity grn.rec_id[n_rec] = i elseif p_int[i] == 2 n_beh += 1 grn.beh_coding[:,:,n_beh] = coding grn.beh_prom[:,:,n_beh] = promoter grn.beh_cod_thresh[n_beh] = threshold grn.beh_aff_thresh[n_beh] = affinity grn.beh_id[n_beh] = i elseif p_int[i] == 3 n_reg += 1 grn.reg_coding[:,:,n_reg] = coding grn.reg_prom[:,:,n_reg] = promoter grn.reg_cod_thresh[n_reg] = threshold grn.reg_aff_thresh[n_reg] = affinity grn.reg_id[n_reg] = i else n_env += 1 grn.env_coding[:,:,n_env] = coding grn.env_prom[:,:,n_env] = promoter grn.env_cod_thresh[n_env] = threshold grn.env_aff_thresh[n_env] = affinity grn.env_id[n_env] = i end end return grn end function calculate_affinity(protein_a::Array{Int,2}, protein_b::Array{Int,2}) return convert(Float64,sum(@. abs(protein_a - protein_b))) / (size(protein_a,1)*size(protein_a,1)*255) end function bind_probability(affinity::Float64,affinity_th::Float64,config::FGRNConfig) return (1 + tanh((affinity_th - affinity - config.Ct)/config.Cs))/2 end function update_rule(product_conc::Float64,original_conc::Float64,config::FGRNConfig) return product_conc*tanh((product_conc - 0.5)/config.Cw)/config.Ci - original_conc/config.Cp end function updateConcentrations!(dc::Array{Float64,1},grn::NamedTuple, concentrations::Array{Float64,1},grn_config::FGRNConfig) product = zeros(Int,grn_config.protein_size,grn_config.protein_size) product_conc = zeros(Float64,grn_config.protein_size,grn_config.protein_size) fill!(dc, zero(Float64)) nProteins::Int = 0 affinity = 0 @inbounds for j in 1:grn_config.protein_size @inbounds for i in 1:grn_config.protein_size for k in 1:size(grn.rec_coding,3) if (concentrations[grn.rec_id[k]] > 0.5*grn.rec_cod_thresh[k]) && (grn.rec_coding[i,j,k] > product[i,j]) product[i,j] = grn.rec_coding[i,j,k] product_conc[i,j] = concentrations[grn.rec_id[k]] nProteins+=1 end end for k in 1:size(grn.reg_coding,3) if (concentrations[grn.reg_id[k]] > 0.5*grn.reg_cod_thresh[k]) && (grn.reg_coding[i,j,k] > product[i,j]) product[i,j] = grn.reg_coding[i,j,k] product_conc[i,j] = concentrations[grn.reg_id[k]] nProteins+=1 end end for k in 1:size(grn.env_coding,3) if (concentrations[grn.env_id[k]] > 0.5*grn.env_cod_thresh[k]) && (grn.env_coding[i,j,k] > product[i,j]) product[i,j] = grn.env_coding[i,j,k] product_conc[i,j] = concentrations[grn.env_id[k]] nProteins+=1 end end end end product_conc = sum(product_conc)/(grn_config.protein_size*grn_config.protein_size) if nProteins != 0 @inbounds for k in 1:size(grn.rec_prom,3) dc[grn.rec_id[k]] = 0 end @inbounds for k in 1:size(grn.beh_prom,3) affinity = calculate_affinity(grn.beh_prom[:,:,k],product) if affinity > grn.beh_aff_thresh[k] dc[grn.beh_id[k]] = update_rule((1 - affinity)*product_conc,concentrations[grn.beh_id[k]],grn_config) else dc[grn.beh_id[k]] = 0 end end @inbounds for k in 1:size(grn.reg_prom,3) affinity = calculate_affinity(grn.reg_prom[:,:,k],product) if affinity > grn.reg_aff_thresh[k] dc[grn.reg_id[k]] = update_rule((1 - affinity)*product_conc,concentrations[grn.reg_id[k]],grn_config) else dc[grn.reg_id[k]] = 0 end end @inbounds for k in 1:size(grn.env_prom,3) affinity = calculate_affinity(grn.env_prom[:,:,k],product) if affinity > grn.env_aff_thresh[k] dc[grn.env_id[k]] = update_rule((1 - affinity)*product_conc,concentrations[grn.env_id[k]],grn_config) else dc[grn.env_id[k]] = 0 end end else fill!(dc, zero(Float64)) end @. concentrations = concentrations + dc; end
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1.685279
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type Grouped{T, I} source::T group_indices::I group_levels groupbys predicate_aliases end type GroupLevels levels::Vector{Vector} end Base.indices(group_levels::GroupLevels, j) = group_levels.levels[j] function Base.isequal(grouped1::Grouped, grouped2::Grouped) isequal(grouped1.source, grouped2.source) || return false isequal(grouped1.group_indices, grouped2.group_indices) || return false isequal(grouped1.groupbys, grouped2.groupbys) || return false return true end function Base.hash(grouped::Grouped) h = hash(grouped.source) + 1 h = hash(grouped.indices, h) h = hash(grouped.groupbys, h) return @compat UInt(h) end
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@testset "Appender Error" begin db = DBInterface.connect(DuckDB.DB) con = DBInterface.connect(db) @test_throws DuckDB.QueryException DuckDB.Appender(db, "nonexistanttable") @test_throws DuckDB.QueryException DuckDB.Appender(con, "t") end @testset "Appender Usage" begin db = DBInterface.connect(DuckDB.DB) DBInterface.execute(db, "CREATE TABLE integers(i INTEGER)") appender = DuckDB.Appender(db, "integers") DuckDB.close(appender) DuckDB.close(appender) appender = DuckDB.Appender(db, "integers") for i in 0:9 DuckDB.append(appender, i) DuckDB.end_row(appender) end DuckDB.flush(appender) results = DBInterface.execute(db, "SELECT * FROM integers") df = DataFrame(results) @test names(df) == ["i"] @test size(df, 1) == 10 @test df.i == [0, 1, 2, 3, 4, 5, 6, 7, 8, 9] end # @testset "Appender API" begin # # Open the database # db = DuckDB.open(":memory:") # con = DuckDB.connect(db) # # # Create the table the data is appended to # DuckDB.execute(con, "CREATE TABLE dtypes(bol BOOLEAN, tint TINYINT, sint SMALLINT, int INTEGER, bint BIGINT, utint UTINYINT, usint USMALLINT, uint UINTEGER, ubint UBIGINT, float FLOAT, double DOUBLE, date DATE, time TIME, vchar VARCHAR, nullval INTEGER)") # # # Create the appender # appender = DuckDB.appender_create(con, "dtypes") # # # Append the different data types # DuckDB.duckdb_append_bool(appender, true) # DuckDB.duckdb_append_int8(appender, 1) # DuckDB.duckdb_append_int16(appender, 2) # DuckDB.duckdb_append_int32(appender, 3) # DuckDB.duckdb_append_int64(appender, 4) # DuckDB.duckdb_append_uint8(appender, 1) # DuckDB.duckdb_append_uint16(appender, 2) # DuckDB.duckdb_append_uint32(appender, 3) # DuckDB.duckdb_append_uint64(appender, 4) # DuckDB.duckdb_append_float(appender, 1.0) # DuckDB.duckdb_append_double(appender, 2.0) # DuckDB.duckdb_append_date(appender, 100) # DuckDB.duckdb_append_time(appender, 200) # DuckDB.duckdb_append_varchar(appender, "Foo") # DuckDB.duckdb_append_null(appender) # # End the row of the appender # DuckDB.duckdb_appender_end_row(appender) # # Destroy the appender and flush the data # DuckDB.duckdb_appender_destroy(appender) # # # Retrive the data from the table and store it in a vector # df = DuckDB.toDataFrame(con, "select * from dtypes;") # data = Matrix(df) # # # Test if the correct types have been appended to the table # @test data[1] === true # @test data[2] === Int8(1) # @test data[3] === Int16(2) # @test data[4] === Int32(3) # @test data[5] === Int64(4) # @test data[6] === UInt8(1) # @test data[7] === UInt16(2) # @test data[8] === UInt32(3) # @test data[9] === UInt64(4) # @test data[10] === Float32(1.0) # @test data[11] === Float64(2.0) # @test data[12] === Dates.Date("1970-04-11") # @test data[13] === Dates.Time(0, 0, 0, 0, 200) # @test data[14] === "Foo" # @test data[15] === missing # # # Disconnect and close the database # DuckDB.disconnect(con) # DuckDB.close(db) # end
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module WhipRest using HttpServer include("beans.jl") export ServerConfig, ResponseConfig, WhipRestServer, RestMessage, GET, POST, PUT, PATCH, DELETE, createServer, startServer function createServer(config::ServerConfig) restServer = WhipRestServer(config.port, Dict{String,Any}(), Dict{String,Any}(), Dict{String,Any}(), Dict{String,Any}(), Dict{String,Any}()) #Iterate over all the request response mappings for i = 1:length(config.responseConfigurations) responseConfiguration = config.responseConfigurations[i] #get the correct mappings set based on HTTP method mappings = getMappings(restServer, responseConfiguration.method) #Put the response handler into map for the given path mappings[responseConfiguration.path] = responseConfiguration.responseHandler end return restServer end function startServer(whipServer::WhipRestServer) #Create a new HTTP handler http = HttpHandler() do req::Request, res::Response #Get the mappings of path to action based on HTTP method mappings = getMappings(whipServer, getHTTP_METHOD(req.method)) try #Extract the path from the request resource path = getPath(req.resource) #Try to find the function for the mapping responseHandler = mappings[String(path)] #Call the handler for this path with the content after the path params = getParams(req.resource) Response(responseHandler(RestMessage(params, req.data))) catch error if isa(error, KeyError) #No mapping was found for this path Response("404") end end end server = Server(http) run(server, whipServer.port) end function getPath(resource::String) #Get the entire resource from the first / to the ? or the end of string paramIndex = search(resource, '?') if paramIndex==0 #Trim the / off the end if it exists if resource[end] == '/' path = resource[1:end-1] else path = resource[1:end] end else path = resource[1:paramIndex-1] end return path end function getParams(resource::String) paramIndex = search(resource, '?') paramsMap = Dict{String,String}() if paramIndex==0 return paramsMap else params = split(resource[paramIndex+1:end], '&') for i = 1:length(params) pair = split(params[i], '=') paramsMap[pair[1]] = String(pair[2]) end return paramsMap end end function getHTTP_METHOD(method::String) if method == "GET" return GET elseif method== "POST" return POST elseif method == "PUT" return PUT elseif method == "PATCH" return PATCH elseif method == "DELETE" return DELETE end end function getMappings(whipServer::WhipRestServer, method::HTTP_METHOD) if GET == method return whipServer.getMappings elseif POST == method return whipServer.postMappings elseif PUT == method return whipServer.putMappings elseif PACTH == method return whipServer.patchMappings elseif DELETE == method return whipServer.deleteMappings end end end #end module WhipRest
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ENV["GKSwstype"]="100" #src # # GEMPIC # # ### Geometric ElectroMagnetic Particle-In-Cell Methods # # https://arxiv.org/abs/1609.03053 # # Michael Kraus, Katharina Kormann, Philip J. Morrison, Eric SonnendrΓΌcker # # Framework for Finite Element Particle-in-Cell methods based on # the discretization of the underlying Hamiltonian structure of the # Vlasov-Maxwell system. # # Install the GEMPIC package using Pkg Pkg.add("GEMPIC"); using ProgressMeter, Plots, GEMPIC #md # --- # # Strong Landau Damping # # The physical parameters kx, Ξ± = 0.5, 0.5 xmin, xmax = 0, 2Ο€/kx domain = [xmin, xmax, xmax - xmin] #md # -- # The numerical parameters βˆ†t = 0.05 nx = 32 n_particles = 100000 mesh = GEMPIC.Mesh( xmin, xmax, nx) spline_degree = 3 #md # --- # Initialize particles mass, charge = 1.0, 1.0 particle_group = GEMPIC.ParticleGroup{1,2}( n_particles, mass, charge, 1) sampler = LandauDamping( Ξ±, kx) sample!(sampler, particle_group) #md # -- # Particle-mesh coupling operators kernel_smoother1 = ParticleMeshCoupling( domain, [nx], n_particles, spline_degree-1, :galerkin) kernel_smoother0 = ParticleMeshCoupling( domain, [nx], n_particles, spline_degree, :galerkin) # Allocate electrostatic fields and Maxwell solver rho = zeros(Float64, nx) efield_poisson = zeros(Float64, nx) maxwell_solver = Maxwell1DFEM(domain, nx, spline_degree) solve_poisson!( efield_poisson, particle_group, kernel_smoother0, maxwell_solver, rho) #md # --- # ### Charge density xg = LinRange(xmin, xmax, nx) sval = eval_uniform_periodic_spline_curve(spline_degree-1, rho) plot( xg, sval, label="ρ") #md savefig("rho.svg"); nothing # hide #md # ![](rho.svg) #md # --- # ### Electric field sval = eval_uniform_periodic_spline_curve(spline_degree-1, efield_poisson) plot( xg, sval, label="efield") #md savefig("ex.svg"); nothing # hide #md # ![](ex.svg) #md # --- # Initialize the arrays for the spline coefficients of the fields efield_dofs = [copy(efield_poisson), zeros(Float64, nx)] bfield_dofs = zeros(Float64, nx) propagator = HamiltonianSplitting( maxwell_solver, kernel_smoother0, kernel_smoother1, particle_group, efield_dofs, bfield_dofs, domain); efield_dofs_n = propagator.e_dofs thdiag = TimeHistoryDiagnostics( particle_group, maxwell_solver, kernel_smoother0, kernel_smoother1 ); #md # --- # ## Loop over time steps, Ξ”t = 500, 0.05 @showprogress 1 for j = 1:steps # loop over time ## Strang splitting strang_splitting!(propagator, Ξ”t, 1) ## Diagnostics solve_poisson!( efield_poisson, particle_group, kernel_smoother0, maxwell_solver, rho) write_step!(thdiag, j * Ξ”t, spline_degree, efield_dofs, bfield_dofs, efield_dofs_n, efield_poisson) end #md nothing # hide #md # --- # ## Diagnostics stored in a dataframe using DataFrames first(thdiag.data, 5) #md # --- plot(thdiag.data[!,:Time], log.(thdiag.data[!,:PotentialEnergyE1])) #md savefig("mod_e.svg"); nothing # hide #md # ![](mod_e.svg) @test true #src #md # Next [Conclusion](/Numkin2019/06/build/index.html)
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# Constans for the game const BLOCK_SIZE = 20 const WIDTH = 640 const HEIGHT = 480 @enum Direction begin UP = 1 RIGHT = 2 DOWN = 3 LEFT = 4 end const MODELS_PATH = "saved_models"
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# ------------------------------------------------------------------ # Licensed under the MIT License. See LICENSE in the project root. # ------------------------------------------------------------------ """ Neighborhood A neighborhood is a geometry that is not attached to any specific point in the space, and is free to slide over a domain of interest. """ abstract type Neighborhood end """ MetricBall A metric ball is a neighborhood that can be expressed in terms of a metric and a range. They are useful for fast searches with tree data structures. """ abstract type MetricBall <: Neighborhood end """ metric(ball) Return the metric of the norm `ball`. """ function metric(::MetricBall) end # ---------------- # IMPLEMENTATIONS # ---------------- include("neighborhoods/normball.jl") include("neighborhoods/ellipsoid.jl")
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#This is an additional wrapper to generate julia function definitions # from the netcdf.h header file. This is necessary because it looks like # Clang.jl had problems translating size_t and ptrdiff_t to the correct # Julia types #A small translator for c types: tdict = Dict( "int"=>"Cint", "size_t"=>"Csize_t", "char"=>"Cchar", "NC_Dispatch"=>"Cvoid", "nc_type"=>"Cint", "nc_vlen_t"=>"nc_vlen_t", "void"=>"Cvoid", "long long"=>"Clonglong", "ptrdiff_t"=>"Cptrdiff_t", "unsigned int"=>"Cuint", "float"=>"Cfloat", "unsigned char"=>"Cuchar", "signed char"=>"Cchar", "short"=>"Cshort", "long"=>"Clong", "double"=>"Cdouble", "unsigned short"=>"Cushort", "unsigned long"=>"Culong", "unsigned long long"=>"Culonglong", ) "Parses the signature from the c function argument and returns the Julia type as well as the argument name" function parsesig(s,tdict) s = strip(replace(s,"const"=>"")) nstar = count(isequal('*'),s) s = replace(s,"*"=>"") if endswith(s,"[]") nstar += 1 s = replace(s,"[]"=>"") end spl = split(strip(s)," ", keepempty=false) if length(spl) == 1 return tdict[spl[1]],"x" end if length(spl)>2 spl = (join(spl[1:end-1]," "), spl[end]) end t, argname = spl if nstar == 2 return "Ptr{Ptr{$(tdict[t])}}", argname elseif nstar == 1 return "Ptr{$(tdict[t])}", argname[2:end] else return tdict[t], argname end end "Write the function with name `fname` and signature `sig` to the IO stream `outp`" function writefun(outp,fname,sig) print(outp,"function ") print(outp,fname) print(outp,"(") for (t,name) in sig print(outp,name) # if parse(t) <: Integer # print(outp,"::Integer") # end print(outp,", ") end print(outp, ")\n") println(outp, " check(ccall(") println(outp, " (:$(fname), libnetcdf),") println(outp, " Cint,") print(outp, " (") foreach(i->print(outp,string(i[1],", ")),sig) println(outp,"),") foreach(i->println(outp," $(i[2]),"),sig) println(outp, " ))") println(outp, "end") end include(joinpath(@__DIR__,"..","src","netcdf_constants.jl")) function parseheader(input, output) cheader = eachline(input) |> collect; open(output,"w") do outp ii = 1 while true i1 = findnext(startswith("EXTERNL int"), cheader,ii) i1 === nothing && break i2 = findnext(contains(";"), cheader,i1) cdef = join(cheader[i1:i2]) sig = match(r"int\s*(\w+)\((.*)\)",cdef) if sig !== nothing fname = sig.captures[1] sig = parsesig.(split(sig.captures[2],","), Ref(tdict)) writefun(outp,fname,sig) end ii = i2+1 end end end input = eachline(`locate netcdf.h`) |> first output = joinpath(@__DIR__, "..", "src","netcdf_c.jl") parseheader(input, output)
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using Documenter, Arena makedocs( modules = [Arena], format = :html, sitename = "Arena.jl", pages = Any[ "Home" => "index.md", "Examples" => "examples.md", "Functions" => "func_ref.md" ] # html_prettyurls = !("local" in ARGS), ) deploydocs( repo = "github.com/dehann/Arena.jl.git", target = "build", deps = nothing, make = nothing, julia = "0.6", osname = "linux" )
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# Exercise 1 using LinearAlgebra using StaticArrays using BenchmarkTools N = 3 A = rand(N, N) x = rand(N) @btime $A * $x # the $ in front of variable names is sometimes important @btime inv($A) # Benchmark A_s = @SMatrix rand(N,N) x_s = @SVector rand(N) @btime $A_s * $x_s @btime inv($A_s); # very fast matrix multiplication, use $ and denote as static vectors @btime $A_s * $x_s @show supertypes(typeof(A_s)) @show supertypes(typeof(A)); # Exercise 2 Ξ£ = [0.4 0.3; 0.3 0.45] G = I R = 0.5 * Ξ£ gain(Ξ£, G, R) = Ξ£ * G' * inv(G * Ξ£ * G' + R) @btime gain($Ξ£, $G, $R) # Benchmark Ξ£_s = @SMatrix [0.4 0.3; 0.3 0.45] R_s = 0.5 * Ξ£_s @show typeof(R) #static array, too @btime gain($Ξ£_s, $G, $R_s); # Exercise 3 using Polynomials p = Polynomial([2, -5, 2], :x) # :x just gives a symbol for display @show p @show typeof(p) pβ€² = derivative(p) # gives the derivative of p, another polynomial @show p(0.1), pβ€²(0.1) # call like a function @show roots(p); # find roots such that p(x) = 0 # plot p and p' r = range(-2.0, 2.0, length = 20) p_r = p.(r) pβ€²_r = pβ€².(r) plot(r[1:end-1],pβ€²_r[1:end-1],label="Dp(x)") plot!(r,p_r,label="p(x)") # Exercise 4 function newtonsmethod(p::Polynomial, x_0; tolerance = 1E-7, maxiter = 100) pβ€² = derivative(p) #initialise loop iter = 1 normdiff = Inf x_old = x_0 while normdiff > tolerance && iter < maxiter x_new = x_old - p(x_old)/ pβ€²(x_old) normdiff = norm(x_new - x_old) iter += 1 #continuation x_old = x_new end return (root = x_old, normdiff = normdiff, iter = iter ) end # Compute roots p = Polynomial([2, -5, 2], :x) # :x just gives a symbol for display @show newtonsmethod(p, 5); # find roots such that p(x) = 0 @show roots(p) @btime newtonsmethod(p, 5); @btime roots(p); # Exercise 5 function trapezoidal(f::AbstractArray{Float64,1}, x::AbstractArray{Float64,1}) sol = similar(x) del = diff(x) for i in 2:length(x) sol[i] = (f_x[i]+f_x[i-1])/2*del[i-1] end return sum(sol) end x = range(0.0,1.0,length=9) f(x) = x^2 f_x = f.(x) int = trapezoidal(f_x,x) function trapezoidal2(f::AbstractArray{Float64}, x::AbstractRange{Float64}) sol = similar(x) del = step(x) for i in 2:length(x) sol[i] = (f_x[i]+ f_x[i-1])/2*del end return sum(sol) end x = range(0.0,1.0,length=1100) f(x) = x^2 f_x = f.(x) integral = trapezoidal2(f_x,x) f(x) = x^3 xΜ„ = 1.0 xΜ² = 0.0 N = 1100; function trapezoidal3(f, xΜ²::Real , xΜ„::Real , N::Int64) x = range(xΜ², xΜ„, length = N) f_x = f.(x) #implementation the same as trapezodal2 sol = similar(x) del = step(x) for i in 2:length(x) sol[i] = (f_x[i]+ f_x[i-1])/2*del end return sum(sol) end integral = trapezoidal3(f ,xΜ² , xΜ„ , N) # Exercise 6 using ForwardDiff function f(a, b; N::Int64 = 50) r = range(a, b, length=N) # one return mean(r) end Df(x) = ForwardDiff.derivative(y -> f(0.0, y), x) @show f(0.0, 3.0) @show f(0.0, 3.1) Df(3.0) function f(a, b; N::Int64 = 50) r = range(a, b, length=N) # one return mean(r) end
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2.022757
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""" Const <: Kernel Constant kernel ```math k(x,x') = σ² ``` with signal standard deviation ``Οƒ``. """ mutable struct Const{T} <: Kernel where {T<:Real} "Signal variance" Οƒ2::T "Priors for kernel parameters" priors::Array end """ Constant kernel function Const(lΟƒ::T) # Arguments - `lΟƒ::Real`: signal standard deviation (given on log scale) """ Const(lΟƒ::T) where T = Const{T}(exp(2 * lΟƒ), []) function set_params!(cons::Const, hyp::AbstractVector) length(hyp) == 1 || throw(ArgumentError("Constant kernel has one parameter, received $(length(hyp)).")) cons.Οƒ2 = exp(2.0*hyp[1]) end get_params(cons::Const{T}) where T = T[log(cons.Οƒ2)/2.0] get_param_names(cons::Const) = [:lΟƒ] num_params(cons::Const) = 1 cov(cons::Const) = cons.Οƒ2 function cov(cons::Const, x::AbstractVector, y::AbstractVector) return cov(cons) end @inline dk_dlΟƒ(cons::Const) = 2.0*cov(cons) @inline function dKij_dΞΈp(cons::Const, X1, X2, i::Int, j::Int, p::Int, dim::Int) if p == 1 return dk_dlΟƒ(cons) else return NaN end end
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2.349345
458
using Test using JustSayIt using PyCall import JustSayIt: recorder, active_recorder_id, start_recording, stop_recording, pause_recording, restart_recording # Test setup const SAMPLEDIR_CMD = joinpath("samples", "commands") @testset "$(basename(@__FILE__))" begin @testset "1. start/stop/pause/restart recording from audio input cmd" begin id = "help" cmd = `julia -e 'using JustSayIt; JustSayIt.read_wav(joinpath("samples","commands","help.wav"))'` @test isa(start_recording(;audio_input_cmd=cmd, id=id), Base.Process) @test active_recorder_id() == id @test isa(recorder(id), Base.Process) pause_recording() restart_recording() @test isa(recorder(id), Base.Process) stop_recording(id=id) end; @static if !Sys.iswindows() && !Sys.islinux() @testset "2. start/stop/pause/restart recording from mic" begin id = "mic" @test isa(start_recording(id=id), PyObject) @test active_recorder_id() == id @test isa(recorder(id), PyObject) pause_recording() restart_recording() @test isa(recorder(id), PyObject) stop_recording(id=id) end; end end;
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2.223022
556
nodes_OMIB = [ Bus( 1, #number "Bus 1", #Name "REF", #BusType (REF, PV, PQ) 0, #Angle in radians 1.06, #Voltage in pu (min = 0.94, max = 1.06), #Voltage limits in pu 69, nothing, nothing, ), #Base voltage in kV Bus(2, "Bus 2", "PV", 0, 1.045, (min = 0.94, max = 1.06), 69, nothing, nothing), ] static_gen = ThermalStandard( name = "TestGen", available = true, status = true, bus = nodes_OMIB[2], active_power = 0.40, reactive_power = 0.010, rating = 0.5, prime_mover = PrimeMovers.ST, fuel = ThermalFuels.COAL, active_power_limits = (min = 0.0, max = 0.40), reactive_power_limits = (min = -0.30, max = 0.30), time_limits = nothing, ramp_limits = nothing, operation_cost = ThreePartCost((0.0, 1400.0), 0.0, 4.0, 2.0), base_power = 1.0, ) branch_OMIB = [ Line( "Line1", #name true, #available 0.0, #active power flow initial condition (from-to) 0.0, #reactive power flow initial condition (from-to) Arc(from = nodes_OMIB[1], to = nodes_OMIB[2]), #Connection between buses 0.01, #resistance in pu 0.05, #reactance in pu (from = 0.0, to = 0.0), #susceptance in pu 18.046, #rate in MW 1.04, ), ] #angle limits (-min and max) @testset "Dynamic Machines" begin Basic = BaseMachine(R = 0.0, Xd_p = 0.2995, eq_p = 1.05) @test Basic isa PowerSystems.DynamicComponent GENROU = RoundRotorQuadratic( R = 0.0, Td0_p = 7.4, Td0_pp = 0.03, Tq0_p = 0.06, Tq0_pp = 0.033, Xd = 0.8979, Xq = 0.646, Xd_p = 0.2995, Xq_p = 0.646, Xd_pp = 0.23, Xl = 0.1, Se = (0.1, 0.5), ) @test GENROU isa PowerSystems.DynamicComponent GENROE = RoundRotorExponential( R = 0.0, Td0_p = 7.4, Td0_pp = 0.03, Tq0_p = 0.06, Tq0_pp = 0.033, Xd = 0.8979, Xq = 0.646, Xd_p = 0.2995, Xq_p = 0.646, Xd_pp = 0.23, Xl = 0.1, Se = (0.1, 0.5), ) @test GENROE isa PowerSystems.DynamicComponent GENSAL = SalientPoleQuadratic( R = 0.0, Td0_p = 7.4, Td0_pp = 0.03, Tq0_pp = 0.033, Xd = 0.8979, Xq = 0.646, Xd_p = 0.2995, Xd_pp = 0.23, Xl = 0.1, Se = (0.1, 0.5), ) @test GENSAL isa PowerSystems.DynamicComponent GENSAE = SalientPoleExponential( R = 0.0, Td0_p = 7.4, Td0_pp = 0.03, Tq0_pp = 0.033, Xd = 0.8979, Xq = 0.646, Xd_p = 0.2995, Xd_pp = 0.23, Xl = 0.1, Se = (0.1, 0.5), ) @test GENSAE isa PowerSystems.DynamicComponent oneDoneQ = OneDOneQMachine( R = 0.0, Xd = 0.8979, Xq = 0.646, Xd_p = 0.2995, Xq_p = 0.04, Td0_p = 7.4, Tq0_p = 0.033, ) @test oneDoneQ isa PowerSystems.DynamicComponent AndersonFouad = AndersonFouadMachine( R = 0.0, Xd = 0.8979, Xq = 0.646, Xd_p = 0.2995, Xq_p = 0.646, Xd_pp = 0.23, Xq_pp = 0.4, Td0_p = 7.4, Tq0_p = 0.01, #Data not available in Milano: Used 0.01 Td0_pp = 0.03, Tq0_pp = 0.033, ) @test AndersonFouad isa PowerSystems.DynamicComponent KundurMachine = SimpleFullMachine( R = 0.003, #Example 3.1 and 4.1 of Kundur R_f = 0.0006, R_1d = 0.0284, #RD in Machowski R_1q = 0.0062, #RQ on Machowski L_d = 1.81, L_q = 1.76, L_ad = 1.66, #k*M_f or k*M_D in Machowski L_aq = 1.61, #k*M_Q in Machowski L_f1d = 1.66, #L_fD in Machowski. Assumed to be equal to L_ad L_ff = 1.825, L_1d = 0.1713, #L_D in Machowski L_1q = 0.7525, #L_Q in Machowski ) @test KundurMachine isa PowerSystems.DynamicComponent KundurFullMachine = FullMachine( R = 0.003, #Example 3.1 and 4.1 of Kundur R_f = 0.0006, R_1d = 0.0284, #RD in Machowski R_1q = 0.0062, #RQ on Machowski L_d = 1.81, L_q = 1.76, L_ad = 1.66, #k*M_f or k*M_D in Machowski L_aq = 1.61, #k*M_Q in Machowski L_f1d = 1.66, #L_fD in Machowski. Assumed to be equal to L_ad L_ff = 1.825, L_1d = 0.1713, #L_D in Machowski L_1q = 0.7525, #L_Q in Machowski ) @test KundurFullMachine isa PowerSystems.DynamicComponent Mach2_benchmark = OneDOneQMachine( R = 0.0, Xd = 1.3125, Xq = 1.2578, Xd_p = 0.1813, Xq_p = 0.25, Td0_p = 5.89, Tq0_p = 0.6, ) @test Mach2_benchmark isa PowerSystems.DynamicComponent end ################ Shaft Data ##################### @testset "Dynamic Shaft" begin BaseShaft = SingleMass(H = 5.148, D = 2.0) @test BaseShaft isa PowerSystems.DynamicComponent FiveShaft = FiveMassShaft( H = 5.148, H_hp = 0.3348, H_ip = 0.7306, H_lp = 0.8154, H_ex = 0.0452, D = 2.0, D_hp = 0.5180, D_ip = 0.2240, D_lp = 0.2240, D_ex = 0.1450, D_12 = 0.0518, D_23 = 0.0224, D_34 = 0.0224, D_45 = 0.0145, K_hp = 33.07, K_ip = 28.59, K_lp = 44.68, K_ex = 21.984, ) @test FiveShaft isa PowerSystems.DynamicComponent end ################# PSS Data ##################### @testset "Dynamic PSS" begin no_pss = PSSFixed(V_pss = 0.0) @test no_pss isa PowerSystems.DynamicComponent end ################ TG Data ##################### @testset "Dynamic Turbine Governor Constructors" begin fixed_tg = TGFixed(efficiency = 1.0) @test fixed_tg isa PowerSystems.DynamicComponent typeI_tg = TGTypeI( R = 0.02, Ts = 0.1, Tc = 0.45, T3 = 0.0, T4 = 0.0, T5 = 50.0, valve_position_limits = (min = 0.3, max = 1.2), ) @test typeI_tg isa PowerSystems.DynamicComponent typeII_tg = TGTypeII(R = 0.05, T1 = 0.3, T2 = 0.1, Ο„_limits = (min = 0.1, max = 1.0)) @test typeII_tg isa PowerSystems.DynamicComponent gast_tg = GasTG( R = 0.05, T1 = 0.40, T2 = 0.10, T3 = 2.0, AT = 1.0, Kt = 2.0, V_lim = (0.417, 0.8), D_turb = 0.0, ) @test gast_tg isa PowerSystems.DynamicComponent end ################ AVR Data ##################### @testset "Dynamic AVR Constructors" begin proportional_avr = AVRSimple(Kv = 5000.0) @test proportional_avr isa PowerSystems.DynamicComponent fixed_avr = AVRFixed(Vf = 1.05, V_ref = 1.0) @test fixed_avr isa PowerSystems.DynamicComponent typeI_avr = AVRTypeI( Ka = 200.0, Ke = 1.0, Kf = 0.0012, Ta = 0.02, Te = 0.19, Tf = 1.0, Tr = 0.001, Va_lim = (0.0, 0.0), Ae = 0.0006, Be = 0.9, ) @test typeI_avr isa PowerSystems.DynamicComponent ac1a_avr = ESAC1A( Tr = 0.0, Tb = 0.0, Tc = 0.0, Ka = 200, Ta = 0.5, Va_lim = (-7.0, 7.0), Te = 1.333, Kf = 0.02, Tf = 0.8, Kc = 0.0, Kd = 0.0, Ke = 1.0, E_sat = (0.0, 0.0), Se = (0.0, 0.0), Vr_lim = (-99.0, 99.0), ) @test ac1a_avr isa PowerSystems.DynamicComponent mod_ac1a_avr = EXAC1( Tr = 0.0, Tb = 0.0, Tc = 0.0, Ka = 400, Ta = 0.5, Vr_lim = (-5.2477, 5.2477), Te = 1.1, Kf = 0.035, Tf = 1.0, Kc = 0.2469, Kd = 0.5, Ke = 1.0, E_sat = (2.707, 3.6102), Se = (0.0366, 0.1831), ) @test mod_ac1a_avr isa PowerSystems.DynamicComponent st1a_avr = ESST1A( UEL_flags = 1, PSS_flags = 1, Tr = 0.0, Vi_lim = (-99.0, 99.0), Tc = 2.5, Tb = 13.25, Tc1 = 0.0, Tb1 = 0.0, Ka = 200.0, Ta = 0.1, Va_lim = (-9.5, 9.5), Vr_lim = (-9.5, 9.5), Kc = 0.0, Kf = 0.0, Tf = 1.0, K_lr = 0.0, I_lr = 999.0, ) @test st1a_avr isa PowerSystems.DynamicComponent gen2_avr_benchmark = AVRTypeII( K0 = 20.0, T1 = 0.2, T2 = 0.063, T3 = 0.35, T4 = 0.01, Te = 0.314, Tr = 0.001, Va_lim = (-5.0, 5.0), Ae = 0.0039, Be = 1.555, ) @test gen2_avr_benchmark isa PowerSystems.DynamicComponent end ######################### Generators ######################## @testset "Dynamic Generators" begin #Components for the test Basic = BaseMachine(R = 0.0, Xd_p = 0.2995, eq_p = 1.05) BaseShaft = SingleMass(H = 5.148, D = 2.0) fixed_avr = AVRFixed(Vf = 1.05, V_ref = 1.0) proportional_avr = AVRSimple(Kv = 5000.0) fixed_tg = TGFixed(efficiency = 1.0) no_pss = PSSFixed(V_pss = 0.0) oneDoneQ = OneDOneQMachine( R = 0.0, Xd = 0.8979, Xq = 0.646, Xd_p = 0.2995, Xq_p = 0.04, Td0_p = 7.4, Tq0_p = 0.033, ) Gen1AVR = DynamicGenerator( name = get_name(static_gen), Ο‰_ref = 1.0, machine = Basic, shaft = BaseShaft, avr = proportional_avr, prime_mover = fixed_tg, pss = no_pss, ) @test Gen1AVR isa PowerSystems.Component Gen1AVRnoAVR = DynamicGenerator( name = get_name(static_gen), Ο‰_ref = 1.0, machine = Basic, shaft = BaseShaft, avr = fixed_avr, prime_mover = fixed_tg, pss = no_pss, ) @test Gen1AVRnoAVR isa PowerSystems.Component Gen2AVRnoAVR = DynamicGenerator( name = get_name(static_gen), Ο‰_ref = 1.0, machine = oneDoneQ, shaft = BaseShaft, avr = fixed_avr, prime_mover = fixed_tg, pss = no_pss, ) @test Gen2AVRnoAVR isa PowerSystems.Component Gen2AVR = DynamicGenerator( name = get_name(static_gen), Ο‰_ref = 1.0, machine = oneDoneQ, shaft = BaseShaft, avr = proportional_avr, prime_mover = fixed_tg, pss = no_pss, ) @test Gen2AVR isa PowerSystems.Component sys = System(100) for bus in nodes_OMIB add_component!(sys, bus) end for lines in branch_OMIB add_component!(sys, lines) end # Names must be the same. Gen1AVR.name = "bad_name" @test_throws ArgumentError add_component!(sys, Gen1AVR, static_gen) Gen1AVR.name = get_name(static_gen) # static_injector must be passed. @test_throws ArgumentError add_component!(sys, Gen1AVR) # static_injector must be attached to the system. @test_throws ArgumentError add_component!(sys, Gen1AVR, static_gen) add_component!(sys, static_gen) @test isnothing(get_dynamic_injector(static_gen)) add_component!(sys, Gen1AVR, static_gen) dynamics = collect(get_components(DynamicGenerator, sys)) @test length(dynamics) == 1 @test dynamics[1] == Gen1AVR @test get_dynamic_injector(static_gen) == Gen1AVR @test get_base_power(static_gen) == get_base_power(Gen1AVR) remove_component!(sys, Gen1AVR) @test isnothing(get_dynamic_injector(static_gen)) add_component!(sys, Gen2AVR, static_gen) @test get_dynamic_injector(static_gen) === Gen2AVR @test get_base_power(static_gen) == get_base_power(Gen2AVR) # Rule: Can't set the pair injector if the current injector is already set. @test_throws ArgumentError set_dynamic_injector!(static_gen, Gen1AVR) # Rule: Can't remove a static injector if it is attached to a dynamic injector. @test_throws ArgumentError remove_component!(sys, static_gen) #Rule: Can't add saturation if Se(1.2) <= Se(1.0) @test_throws IS.ConflictingInputsError PSY.get_quadratic_saturation((0.5, 0.1)) @test_throws IS.ConflictingInputsError PSY.get_quadratic_saturation((0.1, 0.1)) @test_throws IS.ConflictingInputsError PSY.get_avr_saturation((0.2, 0.1), (0.1, 0.1)) @test length(collect(get_dynamic_components(Gen2AVR))) == 5 end @testset "Forward functions" begin GENROU = RoundRotorQuadratic( R = 0.0, Td0_p = 7.4, Td0_pp = 0.03, Tq0_p = 0.06, Tq0_pp = 0.033, Xd = 0.8979, Xq = 0.646, Xd_p = 0.2995, Xq_p = 0.646, Xd_pp = 0.23, Xl = 0.1, Se = (0.1, 0.5), ) test_accessors(GENROU) GENROE = RoundRotorExponential( R = 0.0, Td0_p = 7.4, Td0_pp = 0.03, Tq0_p = 0.06, Tq0_pp = 0.033, Xd = 0.8979, Xq = 0.646, Xd_p = 0.2995, Xq_p = 0.646, Xd_pp = 0.23, Xl = 0.1, Se = (0.1, 0.5), ) test_accessors(GENROE) GENSAL = SalientPoleQuadratic( R = 0.0, Td0_p = 7.4, Td0_pp = 0.03, Tq0_pp = 0.033, Xd = 0.8979, Xq = 0.646, Xd_p = 0.2995, Xd_pp = 0.23, Xl = 0.1, Se = (0.1, 0.5), ) test_accessors(GENSAL) GENSAE = SalientPoleExponential( R = 0.0, Td0_p = 7.4, Td0_pp = 0.03, Tq0_pp = 0.033, Xd = 0.8979, Xq = 0.646, Xd_p = 0.2995, Xd_pp = 0.23, Xl = 0.1, Se = (0.1, 0.5), ) test_accessors(GENSAE) #Test GENROU @test get_R(GENROU) == 0.0 @test get_Td0_p(GENROU) == 7.4 @test get_Td0_pp(GENROU) == 0.03 @test get_Tq0_p(GENROU) == 0.06 @test get_Tq0_pp(GENROU) == 0.033 @test get_Xd(GENROU) == 0.8979 @test get_Xq(GENROU) == 0.646 @test get_Xd_p(GENROU) == 0.2995 @test get_Xq_p(GENROU) == 0.646 @test get_Xd_pp(GENROU) == 0.23 @test get_Xl(GENROU) == 0.1 @test get_Se(GENROU) == (0.1, 0.5) @test get_states(GENROU) == [:eq_p, :ed_p, :ψ_kd, :ψ_kq] @test get_n_states(GENROU) == 4 @test abs(get_saturation_coeffs(GENROU)[1] - 0.8620204102886729) <= 1e-6 @test abs(get_saturation_coeffs(GENROU)[2] - 5.252551286084112) <= 1e-6 #Test GENROE @test get_R(GENROE) == 0.0 @test get_Td0_p(GENROE) == 7.4 @test get_Td0_pp(GENROE) == 0.03 @test get_Tq0_p(GENROE) == 0.06 @test get_Tq0_pp(GENROE) == 0.033 @test get_Xd(GENROE) == 0.8979 @test get_Xq(GENROE) == 0.646 @test get_Xd_p(GENROE) == 0.2995 @test get_Xq_p(GENROE) == 0.646 @test get_Xd_pp(GENROE) == 0.23 @test get_Xl(GENROE) == 0.1 @test get_Se(GENROE) == (0.1, 0.5) @test get_states(GENROE) == [:eq_p, :ed_p, :ψ_kd, :ψ_kq] @test get_n_states(GENROE) == 4 @test abs(get_saturation_coeffs(GENROE)[1] - 8.827469119589406) <= 1e-6 @test abs(get_saturation_coeffs(GENROE)[2] - 0.1) <= 1e-6 #Test GENSAL @test get_R(GENSAL) == 0.0 @test get_Td0_p(GENSAL) == 7.4 @test get_Td0_pp(GENSAL) == 0.03 @test get_Tq0_pp(GENSAL) == 0.033 @test get_Xd(GENSAL) == 0.8979 @test get_Xq(GENSAL) == 0.646 @test get_Xd_p(GENSAL) == 0.2995 @test get_Xd_pp(GENSAL) == 0.23 @test get_Xl(GENSAL) == 0.1 @test get_Se(GENSAL) == (0.1, 0.5) @test get_states(GENSAL) == [:eq_p, :ψ_kd, :ψq_pp] @test get_n_states(GENSAL) == 3 @test abs(get_saturation_coeffs(GENSAL)[1] - 0.8620204102886729) <= 1e-6 @test abs(get_saturation_coeffs(GENSAL)[2] - 5.252551286084112) <= 1e-6 #Test GENSAE @test get_R(GENSAE) == 0.0 @test get_Td0_p(GENSAE) == 7.4 @test get_Td0_pp(GENSAE) == 0.03 @test get_Tq0_pp(GENSAE) == 0.033 @test get_Xd(GENSAE) == 0.8979 @test get_Xq(GENSAE) == 0.646 @test get_Xd_p(GENSAE) == 0.2995 @test get_Xd_pp(GENSAE) == 0.23 @test get_Xl(GENSAE) == 0.1 @test get_Se(GENSAE) == (0.1, 0.5) @test get_states(GENSAE) == [:eq_p, :ψ_kd, :ψq_pp] @test get_n_states(GENSAE) == 3 @test abs(get_saturation_coeffs(GENSAE)[1] - 8.827469119589406) <= 1e-6 @test abs(get_saturation_coeffs(GENSAE)[2] - 0.1) <= 1e-6 end
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1.777288
9,070
abstract type StaticInjection <: Device end function supports_services(::T) where {T <: Device} return true end function get_services(::Device) return Vector{Service}() end get_dynamic_injector(d::StaticInjection) = nothing
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3.078947
76
## PARTE 2 cd(@__DIR__) input = map(line -> parse.(Bool, collect(line)), eachline("input.txt")); ## function keep_only(pred, input) res = deepcopy(input) for j in axes(input[1], 1) length(res) == 1 && break pattern = pred(length(res))(foldl((s, row) -> s+row[j], res; init=0)) filter!(row -> row[j] == pattern, res) end first(res) end ## oxygen_b = keep_only(d -> >=(cld(d, 2)), input) CO2_b = keep_only(d -> <(cld(d, 2)), input) n = length(oxygen_b) oxygen, CO2 = foldl(0:n-1; init=(0,0)) do (o, c), i o |= oxygen_b[n-i] << i c |= CO2_b[n-i] << i o, c end oxygen * CO2
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using LinearAlgebra, ForwardDiff, Distributions using Convex, SCS, ECOS using IterativeSolvers # problem setup "Convex.jl" P = [1.0 0.0 0.0; 0.0 1.0 0.0] D = [P; -P] v = [1.0; 1.0; 0.0] p = 4 c = D * v y = -1.0e-8 β = Variable(p) prob = minimize(c' * β) prob.constraints += β' * ones(p) <= y prob.constraints += β >= 0.0 @time solve!(prob, ECOS.Optimizer) @show prob.status @show prob.constraints @show D' * β.value # @show prob.constraints[1].dual # @show prob.constraints[2].dual A = [-1.0 * Diagonal(ones(p)); ones(1,p)] b = [zeros(p); y] m = size(A, 1) k = p + m + 1 Q = Array([zeros(p, p) A' c; -A zeros(m, m) b; -c' -b' 0.0]) function κ(z) # z_proj = zero(z) # z_proj[1:N] = z[1:N] # z_proj[N .+ (1:p)] = max.(0.0, z[N .+ (1:p)]) z_proj = max.(0.0, z) return z_proj # return z end function Pc(z) z_proj = zero(z) z_proj[1:p] = z[1:p] z_proj[p .+ (1:m)] = κ(z[p .+ (1:m)]) z_proj[p + m + 1] = max(0.0, z[p + m + 1]) return z_proj end function F(z) ũ = z[1:k] u = z[k .+ (1:k)] v = z[2 * k .+ (1:k)] [(I + Q) * ũ - (u + v); u - Pc(ũ - v); ũ - u] end function Ju(z) ũ = z[1:k] u = z[k .+ (1:k)] v = z[2k .+ (1:k)] JP = zeros(m, m) dif = ũ[p .+ (1:m)] - v[p .+ (1:m)] for i = 1:m if dif[i] >= 0.0 JP[i, i] = 1.0 else JP[i, i] = 0.0 end end if z[k] - z[2k] >= 0.0 ℓ = 1.0 else ℓ = 0.0 end [-I zeros(p, m) zeros(p) I zeros(p, m) zeros(p) I zeros(p, m) zeros(p); zeros(m, p) -JP zeros(m) zeros(m, p) I zeros(m) zeros(m, p) JP zeros(m); [zeros(1, p) zeros(1, m) -ℓ zeros(1, p) zeros(1, m) 1.0 zeros(1, p) zeros(1, m) ℓ]] end function J(z) [(I + Q) -I -I Ju(z); I -I zeros(k, k)] end ũ = zeros(k) u = zeros(k) v = zeros(k) ũ[end] = 1.0 u[end] = 1.0 v[end] = 1.0 z = [ũ; u; v] z = rand(3k) F(z) rank(Ju(z)) J(z) rank(ForwardDiff.jacobian(F, z)) norm(J(z) - ForwardDiff.jacobian(F, z), Inf) gmres(J(z), -F(z)) # (J(z)' * J(z)) \ (J(z)' * F(z)) # Δ = zero(z) # Δ[k] = 1.0 # Δ[2k] = 1.0 # Δ[3k] = 1.0 # gmres!(Δ, J(z), -1.0 * F(z), abstol = 1.0) function solve() ũ = zeros(k) u = zeros(k) v = zeros(k) ũ[end] = 1.0 u[end] = 1.0 v[end] = 1.0 z = [ũ; u; v] # z = rand(3k) # Δ = zero(z) extra_iters = 0 for i = 1:500 _F = F(z) _J = J(z) Δ = gmres(_J, 1.0 * _F, abstol = 1.0e-12, maxiter = i + extra_iters) iter = 0 α = 1.0 while norm(F(z - α * Δ))^2.0 >= (1.0 - 0.001 * α) * norm(_F)^2.0 && α > 1.0e-4 α = 0.5 * α # println(" α = $α") iter += 1 if iter > 100 @error "line search fail" # return z x = z[k .+ (1:p)] y = z[k + p .+ (1:m)] τ = z[k + k] κ = z[3k] println("τ = $τ") println("κ = $κ") return x ./ τ, z end end if α <= 1.0e-4 extra_iters += 1 end println("iter ($i) - norm: $(norm(F(z)))") z .-= α * Δ end # return z x = z[k .+ (1:p)] y = z[k + p .+ (1:m)] τ = z[k + k] κ = z[3k] println("τ = $τ") println("κ = $κ") return x ./ τ, z end x_sol, z_sol = solve() x_sol b - A * x_sol norm(x_sol - β.value) function Fθ(z, θ) A = reshape(θ[1:m * p], m, p) b = θ[m * p .+ (1:m)] c = θ[m * p + m .+ (1:p)] Q = Array([zeros(eltype(θ), p, p) A' c; -A zeros(eltype(θ), m, m) b; -c' -b' 0.0]) ũ = z[1:k] u = z[k .+ (1:k)] v = z[2 * k .+ (1:k)] [(I + Q) * ũ - (u + v); u - Pc(ũ - v); ũ - u] end θ[m * p + m] θ = [vec(A); b; c] _F(y) = Fθ(z_sol, y) _F(θ) ForwardDiff.jacobian(_F, θ) rank(J(z_sol)) J(z_sol) ((J(z_sol)' * J(z_sol)) \ (J(z_sol)' * ForwardDiff.jacobian(_F, θ)))[k .+ (1:p), m * p + (m-1) .+ (1:1+p)] ./ z_sol[2k] # (J(z_sol) \ ForwardDiff.jacobian(_F, θ))[k .+ (1:p), m * p + (m-1) .+ (1:1+p)] ./ z_sol[2k] # minimum(ForwardDiff.jacobian(_F, θ)[:, m * p + (m-1) .+ (1:1+p)]) # # maximum(J(z_sol)) # minimum(J(z_sol)) # # pinv(J(z_sol)) # F(z_sol)
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1.578154
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using DataFrames using CSV using Plots #%% file = open("./lezione5/Si_data_2.csv") df=CSV.read(file, header=false, delim=" ") plot(df[1],df[2])
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2.301587
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### A Pluto.jl notebook ### # v0.17.2 # using Markdown # using InteractiveUtils # ╔═║ 35da0c45-6d91-4ad9-811f-5d633684208e begin using StaticArrays using LinearAlgebra using Unitful using Unitful.DefaultSymbols using SatelliteToolbox: Ellipsoid using Parameters import Proj4 using DocStringExtensions end # ╔═║ c3a5e97e-00ed-44af-9c67-fa8198900fbd #=╠═║ notebook_exclusive begin using PlutoDevMacros using PlutoUtils using PlutoTest end ╠═║ notebook_exclusive =# # ╔═║ e2f50ace-ad14-4e7c-af74-abf3ca9df9fb #=╠═║ notebook_exclusive md""" # Packages """ ╠═║ notebook_exclusive =# # ╔═║ 82c0d6f9-373d-4866-81eb-9cd2d0981310 #=╠═║ notebook_exclusive ToC() ╠═║ notebook_exclusive =# # ╔═║ 2e6bcf9b-002f-4fbc-80c1-0cfd2ab1d253 #=╠═║ notebook_exclusive md""" # Exports """ ╠═║ notebook_exclusive =# # ╔═║ 1e3da0c9-2f96-4637-9093-ac7f10c1ad27 #=╠═║ notebook_exclusive md""" # Helper Functions """ ╠═║ notebook_exclusive =# # ╔═║ 48c73104-fe4c-4543-942a-6f23b0fd2547 const Point{N} = Union{Tuple{Vararg{<:Number, N}},StaticVector{N,<:Number}} # ╔═║ 48c73104-fe4c-4543-0001-6f23b0fd2547 const Point2D = Point{2} # ╔═║ 48c73104-fe4c-4543-0002-6f23b0fd2547 const Point3D = Point{3} # ╔═║ c4402f72-67ac-4630-a651-da81c1df71bf """ ExtraOutput Struct used inside `SatView` to use multiple dispatch to give more than the standard output. See for example [`get_range`](@ref) """ struct ExtraOutput end # ╔═║ e796d5be-e011-45d3-ad90-58769feb5e85 #=╠═║ notebook_exclusive md""" ## Show/Print """ ╠═║ notebook_exclusive =# # ╔═║ d890aff1-dbd0-451c-bf14-bde9758c3be0 function _print_angle(io,val,displayname,last=false) print(io,"$displayname=") print(io,round(val;digits=2) * rad) print(io," (") print(io,round(rad2deg(val);digits=2) * Β°) print(io,")") last || print(io,", ") end # ╔═║ fdbbc8d9-83d6-413e-aff8-aca18f24dfea function _print_length(io,val,displayname,last=false) print(io,"$displayname=") mval = val < 1000 ? round(val;digits=2) * m : round(val/1000;digits=2) * km print(io,mval) last || print(io,", ") end # ╔═║ cc0cae75-ba10-4a62-b0ef-22259e40a083 #=╠═║ notebook_exclusive md""" ## Spherical Ellipsoid """ ╠═║ notebook_exclusive =# # ╔═║ 855553e3-491b-4e8a-a482-95855697e063 """ SphericalEllipsoid(r = 6371e3) Define a spherical ellipsoid of radius `r` to be used for the various transformation in [`SatView`](@ref). Defaults to 6371km radius """ SphericalEllipsoid(r = 6371e3) = Ellipsoid(r,0.0) # ╔═║ 1f7a7093-ce8e-461f-8b91-69266de86748 #=╠═║ notebook_exclusive md""" ## geod_geodesic """ ╠═║ notebook_exclusive =# # ╔═║ f83fc65f-5f7b-498d-9ed3-0762565ad710 Proj4.geod_geodesic(e::Ellipsoid) = Proj4.geod_geodesic(e.a, e.f) # ╔═║ 4714c6ae-27d9-47db-b12e-126283b10606 #=╠═║ notebook_exclusive md""" # EarthModel """ ╠═║ notebook_exclusive =# # ╔═║ f9cc2880-bab1-4be3-b67b-d43508df8d3b begin """ $(TYPEDEF) Geometrical model of the Earth ellipsoid to be used for all the view angles between satellite and points on earth. # Fields $(TYPEDFIELDS) A single instance of this structure should be used for all satellites of a given simulation/constellation.\\ Changes to any of the two fields (via `setproperty!`) will trigger an automatic recomputation of the other field.\\ When called without arguments, it defaults to a spherical earth with a radius of 6371 km. See also: [`Ellipsoid`](@ref), [`SphericalEllipsoid`](@ref), [`SatView`](@ref) """ @with_kw mutable struct EarthModel "Ellipsoid structure, used for the various point of view conversion." ellipsoid::Ellipsoid{Float64} = SphericalEllipsoid() "Extended geod structure, used for the inverse geodesic problem to compute distance and azimuth between points on earth. (Relies on GeographicLib)." geod::Proj4.geod_geodesic = Proj4.geod_geodesic(ellipsoid) end EarthModel(e::Ellipsoid) = EarthModel(;ellipsoid = e) end # ╔═║ 1f2b9b74-de46-401d-8a46-0434b9f9aca1 function Base.setproperty!(value::EarthModel, name::Symbol, x) if name === :ellipsoid setfield!(value, name, x) setfield!(value, :geod, Proj4.geod_geodesic(x)) else setfield!(value, name, x) setfield!(value, :ellipsoid, Ellipsoid(x.a, x.f)) end end # ╔═║ 6a5cb372-60cb-4ffc-b4f0-22e4016104e7 #=╠═║ notebook_exclusive md""" # Angle Types """ ╠═║ notebook_exclusive =# # ╔═║ e832c1b7-8c04-4146-90f6-1628e91fea2a const UnitfulAngleType = Union{typeof(Β°),typeof(rad)} # ╔═║ 64cf1b8b-6686-4eeb-a3cc-786300ea7c7d const UnitfulAngleQuantity = Quantity{<:Real,<:Any,<:UnitfulAngleType} # ╔═║ 1d023a0c-a93a-451c-a894-1d1f6a4b78a9 #=╠═║ notebook_exclusive md""" # SatViewCoordinate types """ ╠═║ notebook_exclusive =# # ╔═║ b8ce87d4-4768-4e8a-a16e-9e68b00b6617 abstract type SatViewCoordinate end # ╔═║ e3c221c6-6c4a-4b5f-93a6-30d3508ac9d2 #=╠═║ notebook_exclusive md""" ## LLA """ ╠═║ notebook_exclusive =# # ╔═║ 8368ae01-ce53-449e-87dd-8dfa3f29f8f4 #=╠═║ notebook_exclusive md""" Here we want to define a structure that contains useful informations and functions to perform conversions between the view from the satellite based on it's orbital position and points on ground """ ╠═║ notebook_exclusive =# # ╔═║ f951805e-515a-475f-893f-bb8b968e425c #=╠═║ notebook_exclusive md""" ## ERA """ ╠═║ notebook_exclusive =# # ╔═║ 86ae20a9-e69c-4d63-9119-395449e9ac09 #=╠═║ notebook_exclusive md""" ERA stands for Elevation, Range and Azimuth and is used to express the position of a satellite relative to an observer in spherical coordinates. The elevation is the angle of the pointing with respect to the local horizon of the observer, meaning the plane where the observer is located that is perpendicular to the gravity vector acting on the observe (or in an alternative definition, the plane where the observer is located that is parallel to the tangent plane to the earth ellipsoid at the given lat and lon positions of the observer. """ ╠═║ notebook_exclusive =# # ╔═║ 9be2fd5c-4b6c-4e13-b2aa-fb7120a504b7 begin """ Elevation, Range and Azimuth for a target point on space as seen from a source point on or above the earth surface # Fields - `el::Float64`: Elevation view angle (`0 <= el <= Ο€/2`) between source and target point [rad]. - `r::Float64`: Range (`r >= 0`) between the source and target points [m]. - `az::Float64`: Azimuth view angle between source and target point [rad], computed from West to North from the source point perspective. Values provided are automatically converted between -Ο€ and Ο€ # Constructors ERA(el::Real,r::Real,az::Real) ERA(el::UnitfulAngleQuantity,r::Real,az::Real) ERA(el::UnitfulAngleQuantity,r::Real,az::UnitfulAngleQuantity) ERA(el,r::Unitful.Length,az) where `UnitfulAngleQuantity` is a `Unitful.Quantity` of unit either `u"rad"` or `u"Β°"`. """ @with_kw_noshow struct ERA <: SatViewCoordinate el::Float64 # Elevation in radians r::Float64 # Range in meters az::Float64 # Azimuth in radians function ERA(el::Real,r::Real,az::Real) (isnan(el) || isnan(r) || isnan(az)) && return new(NaN,NaN,NaN) @assert el >= 0 && el <= Ο€/2 "Elevation should be between 0 and Ο€/2" @assert r >= 0 "Range must be positive" new(el,r,rem2pi(az,RoundNearest)) end end # Define a constructor that takes combinations of real numbers and angles/lengths ERA(el::UnitfulAngleQuantity,r::Real,az::Real) = ERA( uconvert(u"rad",el) |> ustrip, r, az, ) ERA(el::UnitfulAngleQuantity,r::Real,az::UnitfulAngleQuantity) = ERA( el, r, uconvert(u"rad",az) |> ustrip, ) ERA(el,r::Unitful.Length,az) = ERA( el, uconvert(u"m",r) |> ustrip, az, ) # Show function Base.show(io::IO,era::ERA) print(io,"ERA(") _print_angle(io,era.el,"el",false) _print_length(io,era.r,"r",false) _print_angle(io,era.az,"az",true) print(io,")") end end # ╔═║ 16782c72-ecb1-48ec-8510-78e2e0689a10 function Base.isapprox(x1::ERA, x2::ERA) x1.el ≉ x2.el && return false # Don't care about different azimuth if elevation is 90Β° x2.el ≉ Ο€/2 && x1.az ≉ x2.az && return false x1.r ≉ x2.r && return false return true end # ╔═║ 7344190c-7989-4b55-b7be-357f7d6b7370 Base.isnan(era::ERA) = isnan(era.el) # ╔═║ f207d849-ebff-4e6c-95bb-50693cb7c9b6 begin """ Identify a point on or above earth using geodetic coordinates # Fields - `lat::Float64`: Latitude (`-Ο€/2 <= lat <= Ο€/2`) of the point [rad]. - `lon::Float64`: Longitude of the point [rad]. - `alt::Float64`: Altitude of the point above the reference earth ellipsoid [m]. # Constructors LLA(lat::Real,lon::Real,alt::Real) LLA(lat::UnitfulAngleQuantity,lon::Real,alt::Real) LLA(lat::UnitfulAngleQuantity,lon::UnitfulAngleQuantity,alt::Real) LLA(lat,lon,alt::Unitful.Length) LLA(lat,lon) # Defaults to 0.0 altitude where `UnitfulAngleQuantity` is a `Unitful.Quantity` of unit either `u"rad"` or `u"Β°"`. """ @with_kw_noshow struct LLA <: SatViewCoordinate lat::Float64 # Latitude in radians lon::Float64 # Longitude in radians alt::Float64 # Altitude in meters function LLA(lat::Real,lon::Real,alt::Real) (isnan(lat) || isnan(lon) || isnan(alt)) && return new(NaN,NaN,NaN) l2 = rem2pi(lon,RoundNearest) @assert abs(lat) <= Ο€/2 "Latitude should be between -Ο€/2 and Ο€/2" new(lat,l2,alt) end end # Constructor without altitude, assume it is 0 LLA(lat,lon) = LLA(lat,lon,0.0) # Define a constructor that takes combinations of real numbers and angles/lengths LLA(lat::UnitfulAngleQuantity,lon::Real,alt::Real) = LLA( uconvert(u"rad",lat) |> ustrip, lon, alt) LLA(lat::UnitfulAngleQuantity,lon::UnitfulAngleQuantity,alt::Real) = LLA( lat, uconvert(u"rad",lon) |> ustrip, alt) LLA(lat,lon,alt::Unitful.Length) = LLA( lat, lon, uconvert(u"m",alt) |> ustrip) end # ╔═║ 3033d5c1-d8e0-4d46-0001-7dec4ff7afbd # Show method for LLA function Base.show(io::IO,lla::LLA) print(io,"LLA(") _print_angle(io,lla.lat,"lat",false) _print_angle(io,lla.lon,"lon",false) _print_length(io,lla.alt,"alt",true) print(io,")") end # ╔═║ 3033d5c1-d8e0-4d46-a4b9-7dec4ff7afbd function Base.isapprox(x1::LLA, x2::LLA) x1.alt ≉ x2.alt && return false # Don't care about different longitude if latitude is Β±90Β° abs(x1.lat) β‰ˆ Ο€/2 && abs(x2.lat) β‰ˆ Ο€/2 && return true # Return true if all the lat and lon are matching x1.lat β‰ˆ x2.lat && (x1.lon β‰ˆ x2.lon || abs(x1.lon) β‰ˆ abs(x2.lon) β‰ˆ Ο€) && return true return false end # ╔═║ 528beffe-0707-4661-8970-def1b1e00ea5 Base.isnan(lla::LLA) = isnan(lla.lat) # ╔═║ 11938cb6-46b3-0001-96c0-ef6424d1d0db #=╠═║ notebook_exclusive md""" # Inverse Geodesic Problem """ ╠═║ notebook_exclusive =# # ╔═║ 11938cb6-46b3-0002-96c0-ef6424d1d0db """ geod_inverse(geod::Proj4.geod_geodesic, lonlat1::AbstractVector{Cdouble}, lonlat2::AbstractVector{Cdouble}) geod_inverse(geod::Proj4.geod_geodesic, lla1::LLA, lla2::LLA) Solve the inverse geodesic problem. # Args - `g` β†’ the geod_geodesic object specifying the ellipsoid. - `lonlat1` β†’ point 1 (degrees), where lat ∈ [-90, 90], lon ∈ [-540, 540) - `lonlat2` β†’ point 2 (degrees), where lat ∈ [-90, 90], lon ∈ [-540, 540) # Outputs - `dist` β†’ distance between point 1 and point 2 (meters). - `azi1` β†’ azimuth at point 1 (degrees) ∈ [-180, 180) - `azi2` β†’ (forward) azimuth at point 2 (degrees) ∈ [-180, 180) # Remarks If either point is at a pole, the azimuth is defined by keeping the longitude fixed, writing lat = 90 +/- eps, and taking the limit as eps -> 0+. """ function geod_inverse(geod::Proj4.geod_geodesic, lonlat1::AbstractVector{Cdouble}, lonlat2::AbstractVector{Cdouble}) dist = Ref{Cdouble}() azi1 = Ref{Cdouble}() azi2 = Ref{Cdouble}() ccall((:geod_inverse, Proj4.libproj), Cvoid, (Ptr{Cvoid},Cdouble,Cdouble,Cdouble, Cdouble,Ptr{Cdouble},Ptr{Cdouble},Ptr{Cdouble}), pointer_from_objref(geod), lonlat1[2], lonlat1[1], lonlat2[2], lonlat2[1], dist, azi1, azi2) dist[], azi1[], azi2[] end # ╔═║ 11938cb6-46b3-0003-96c0-ef6424d1d0db function geod_inverse(geod::Proj4.geod_geodesic, lla1::LLA, lla2::LLA) lonlat1 = rad2deg.(SA_F64[lla1.lon,lla1.lat]) lonlat2 = rad2deg.(SA_F64[lla2.lon,lla2.lat]) geod_inverse(geod,lonlat1,lonlat2) end # ╔═║ 4c06d21c-ac14-4522-bf25-2e0a1ed2d6b9 begin export Ellipsoid, SphericalEllipsoid export EarthModel export UnitfulAngleQuantity, UnitfulAngleType, Β° export km export LLA, ERA export geod_inverse end # ╔═║ 11938cb6-46b3-499b-96c0-ef6424d1d0db #=╠═║ notebook_exclusive md""" # Tests """ ╠═║ notebook_exclusive =# # ╔═║ d2c248b1-c48e-437b-a910-edcc59b4424f #=╠═║ notebook_exclusive md""" ## LLA """ ╠═║ notebook_exclusive =# # ╔═║ 7b306ed5-4bda-465d-abf2-4d07cb4642c1 #=╠═║ notebook_exclusive @test LLA(10Β°,10Β°,1000) β‰ˆ LLA((10+100*eps())*Β°,10Β°,1000) ╠═║ notebook_exclusive =# # ╔═║ c45f6aac-bff3-4c98-8bd5-c91a98c9eef7 #=╠═║ notebook_exclusive @test LLA(90Β°,10Β°,1000) β‰ˆ LLA(90Β°,130Β°,1000) ╠═║ notebook_exclusive =# # ╔═║ 1f1505a6-c6af-4fdd-9583-6e783e76de4f #=╠═║ notebook_exclusive @test LLA(40Β°,-180Β°,1000) β‰ˆ LLA(40Β°,180Β°,1000) ╠═║ notebook_exclusive =# # ╔═║ 980e48bd-9dd1-4195-8086-40785a7f43e1 #=╠═║ notebook_exclusive @test LLA(10Β°,10Β°,1000) !== LLA((10+100*eps())*Β°,10Β°,1000) ╠═║ notebook_exclusive =# # ╔═║ fc146750-46b2-4084-a6d2-0d91c0e104e6 #=╠═║ notebook_exclusive LLA(1,1,NaN) |> isnan ╠═║ notebook_exclusive =# # ╔═║ fc3e96a6-7af8-4ef0-a4ca-b33509aa512f #=╠═║ notebook_exclusive md""" ## ERA """ ╠═║ notebook_exclusive =# # ╔═║ ed2f2fa3-be19-4e2d-ad28-36cb053ed6bd #=╠═║ notebook_exclusive @test ERA(10Β°,1000,20Β°) == ERA(10Β°,1km,deg2rad(20)*rad) ╠═║ notebook_exclusive =# # ╔═║ 6151e4d1-a7a6-4fa7-bc77-0e7f3b2a3cc0 #=╠═║ notebook_exclusive @test ERA(90Β°,1000,20Β°) β‰ˆ ERA(90Β°,1km,deg2rad(90)*rad) ╠═║ notebook_exclusive =# # ╔═║ b5449c6a-9c43-4f9c-81f7-f01277acb109 #=╠═║ notebook_exclusive ERA(1,1,NaN) |> isnan ╠═║ notebook_exclusive =# # ╔═║ 00000000-0000-0000-0000-000000000001 PLUTO_PROJECT_TOML_CONTENTS = """ [deps] DocStringExtensions = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae" LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e" Parameters = "d96e819e-fc66-5662-9728-84c9c7592b0a" PlutoDevMacros = "a0499f29-c39b-4c5c-807c-88074221b949" PlutoTest = "cb4044da-4d16-4ffa-a6a3-8cad7f73ebdc" PlutoUtils = "ed5d0301-4775-4676-b788-cf71e66ff8ed" Proj4 = "9a7e659c-8ee8-5706-894e-f68f43bc57ea" SatelliteToolbox = "6ac157d9-b43d-51bb-8fab-48bf53814f4a" StaticArrays = "90137ffa-7385-5640-81b9-e52037218182" Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d" 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[[deps.Unitful]] deps = ["ConstructionBase", "Dates", "LinearAlgebra", "Random"] git-tree-sha1 = "0992ed0c3ef66b0390e5752fe60054e5ff93b908" uuid = "1986cc42-f94f-5a68-af5c-568840ba703d" version = "1.9.2" [[deps.WoodburyMatrices]] deps = ["LinearAlgebra", "SparseArrays"] git-tree-sha1 = "de67fa59e33ad156a590055375a30b23c40299d3" uuid = "efce3f68-66dc-5838-9240-27a6d6f5f9b6" version = "0.5.5" [[deps.Zlib_jll]] deps = ["Libdl"] uuid = "83775a58-1f1d-513f-b197-d71354ab007a" [[deps.Zstd_jll]] deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] git-tree-sha1 = "cc4bf3fdde8b7e3e9fa0351bdeedba1cf3b7f6e6" uuid = "3161d3a3-bdf6-5164-811a-617609db77b4" version = "1.5.0+0" [[deps.libblastrampoline_jll]] deps = ["Artifacts", "Libdl", "OpenBLAS_jll"] uuid = "8e850b90-86db-534c-a0d3-1478176c7d93" [[deps.nghttp2_jll]] deps = ["Artifacts", "Libdl"] uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d" [[deps.p7zip_jll]] deps = ["Artifacts", "Libdl"] uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0" """ # ╔═║ Cell 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╠═64cf1b8b-6686-4eeb-a3cc-786300ea7c7d # β•Ÿβ”€1d023a0c-a93a-451c-a894-1d1f6a4b78a9 # ╠═b8ce87d4-4768-4e8a-a16e-9e68b00b6617 # β•Ÿβ”€e3c221c6-6c4a-4b5f-93a6-30d3508ac9d2 # β•Ÿβ”€8368ae01-ce53-449e-87dd-8dfa3f29f8f4 # ╠═f207d849-ebff-4e6c-95bb-50693cb7c9b6 # ╠═3033d5c1-d8e0-4d46-0001-7dec4ff7afbd # ╠═3033d5c1-d8e0-4d46-a4b9-7dec4ff7afbd # ╠═528beffe-0707-4661-8970-def1b1e00ea5 # β•Ÿβ”€f951805e-515a-475f-893f-bb8b968e425c # β•Ÿβ”€86ae20a9-e69c-4d63-9119-395449e9ac09 # ╠═9be2fd5c-4b6c-4e13-b2aa-fb7120a504b7 # ╠═16782c72-ecb1-48ec-8510-78e2e0689a10 # ╠═7344190c-7989-4b55-b7be-357f7d6b7370 # β•Ÿβ”€11938cb6-46b3-0001-96c0-ef6424d1d0db # β•Ÿβ”€11938cb6-46b3-0002-96c0-ef6424d1d0db # β•Ÿβ”€11938cb6-46b3-0003-96c0-ef6424d1d0db # β•Ÿβ”€11938cb6-46b3-499b-96c0-ef6424d1d0db # β•Ÿβ”€d2c248b1-c48e-437b-a910-edcc59b4424f # ╠═7b306ed5-4bda-465d-abf2-4d07cb4642c1 # ╠═c45f6aac-bff3-4c98-8bd5-c91a98c9eef7 # ╠═1f1505a6-c6af-4fdd-9583-6e783e76de4f # ╠═980e48bd-9dd1-4195-8086-40785a7f43e1 # ╠═fc146750-46b2-4084-a6d2-0d91c0e104e6 # β•Ÿβ”€fc3e96a6-7af8-4ef0-a4ca-b33509aa512f # ╠═ed2f2fa3-be19-4e2d-ad28-36cb053ed6bd # ╠═6151e4d1-a7a6-4fa7-bc77-0e7f3b2a3cc0 # ╠═b5449c6a-9c43-4f9c-81f7-f01277acb109 # β•Ÿβ”€00000000-0000-0000-0000-000000000001 # β•Ÿβ”€00000000-0000-0000-0000-000000000002
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using Blosc2:Lib @testset "storage" begin s = Storage() @test s.contiguous == false @test isnothing(s.urlpath) @test isnothing(s.cparams) @test isnothing(s.dparams) Blosc2.with_preserved_blosc2_storage(s) do bs @test bs.contiguous == false @test bs.urlpath == C_NULL @test bs.cparams == C_NULL @test bs.dparams == C_NULL @test bs.io == C_NULL end s = Storage(contiguous = true, urlpath = "test", cparams = CompressionParams(Int32), dparams = DecompressionParams(nthreads = 2) ) @test s.contiguous == true @test s.urlpath == "test" @test s.cparams.typesize == 4 @test s.dparams.nthreads == 2 Blosc2.with_preserved_blosc2_storage(s) do bs @test bs.contiguous == true @test unsafe_string(bs.urlpath) == "test" @test bs.cparams != C_NULL @test bs.dparams != C_NULL @test unsafe_load(bs.cparams.typesize) == 4 @test unsafe_load(bs.dparams.nthreads) == 2 @test bs.io == C_NULL end end @testset "superchunk create" begin schunk = SChunk(Storage()) @test clevel(schunk) == 5 @test typesize(schunk) == 8 schunk = SChunk(Storage(cparams = CompressionParams(Int16, level = 9))) @test clevel(schunk) == 9 @test typesize(schunk) == 2 end @testset "schunk append buffer" begin rm("test.bl2", force = true, recursive = true) schunk = SChunk(Storage(urlpath = "test.bl2")) n = 100000 data = rand(1:1000, n) r = GC.@preserve data begin unsafe_append_buffer!(schunk, pointer(data), sizeof(data)) end @test r == 1 data2 = rand(1:1000, floor(Int64, n/2)) r = GC.@preserve data begin unsafe_append_buffer!(schunk, pointer(data2), sizeof(data2)) end @test r == 2 @test nchunks(schunk) == 2 res = Vector{Int64}(undef, n) r = GC.@preserve res begin unsafe_decompress_chunk(schunk, 2, pointer(res), sizeof(res)) end @test r == length(data2) @test res[1:r] == data2 r = GC.@preserve res begin unsafe_decompress_chunk(schunk, 1, pointer(res), sizeof(res)) end @test r == n @test res == data @test_throws BoundsError unsafe_decompress_chunk(schunk, 3, pointer(res), sizeof(res)) rm("test.bl2", force = true, recursive = true) end @testset "schunk unsafe chunk manipulations" begin schunk = SChunk(Storage()) n = 100000 data = rand(1:1000, n) r = GC.@preserve data begin unsafe_append_buffer!(schunk, pointer(data), sizeof(data)) end println(chunksize(schunk)) @test r == 1 data2 = rand(1:1000, n) chunk = compress(data2) r = GC.@preserve chunk begin unsafe_append_chunk!(schunk, pointer(chunk)) end @test r == 2 data3 = rand(1:1000, n) chunk = compress(data3) r = GC.@preserve chunk begin unsafe_insert_chunk!(schunk, 2, pointer(chunk)) end @test r == 3 res = Vector{Int64}(undef, n) r = GC.@preserve res begin unsafe_decompress_chunk(schunk, 2, pointer(res), sizeof(res)) end @test res == data3 data4 = rand(1:1000, n) chunk = compress(data4) r = GC.@preserve chunk begin unsafe_update_chunk!(schunk, 2, pointer(chunk)) end @test r == 3 r = GC.@preserve res begin unsafe_decompress_chunk(schunk, 2, pointer(res), sizeof(res)) end @test res == data4 @test delete_chunk!(schunk, 2) == 2 r = GC.@preserve res begin unsafe_decompress_chunk(schunk, 2, pointer(res), sizeof(res)) end @test res == data2 chunk2 = unsafe_get_chunk(schunk, 1) @test decompress(Int64, chunk2) == data end
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