@@ -10,7 +10,7 @@ using Test
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using Random
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using DiffEqDevTools
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# using DiffEqGPU
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-
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+ seed = 103473
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function prob_func (prob, i, repeat)
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remake (prob,seed= seeds[i])
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end
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@info " Scalar oop noise"
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- numtraj = Int (1e6 ) # in the paper they use 1e9
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+ numtraj = Int (2e6 ) # in the paper they use 1e9
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u₀ = 0.0
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f (u,p,t) = 1 // 2 * u+ sqrt (u^ 2 + 1 )
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g (u,p,t) = sqrt (u^ 2 + 1 )
@@ -33,7 +33,6 @@ h1(z) = z^3-6*z^2+8*z
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# analytical_sol(t) = E(f(X(t))) = E(h1(arsinh(X(t))) = t^3-3*t^2+2*t
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# analytical_sol(2) = 0 and analytical_sol(1)=0
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- seed = 100
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Random. seed! (seed)
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seeds = rand (UInt, numtraj)
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@@ -53,8 +52,7 @@ sim = test_convergence(dts,ensemble_prob,DRI1(),
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println (" DRI1:" , sim. 𝒪est[:weak_final ])
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- numtraj = Int (5e5 )
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- seed = 100
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+ numtraj = Int (1e7 )
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Random. seed! (seed)
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seeds = rand (UInt, numtraj)
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@@ -66,8 +64,7 @@ sim = test_convergence(dts,ensemble_prob,RI1(),
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@test abs (sim. 𝒪est[:weak_final ]- 2 ) < 0.3
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println (" RI1:" , sim. 𝒪est[:weak_final ])
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- numtraj = Int (5e5 )
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- seed = 100
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+ numtraj = Int (1e6 )
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Random. seed! (seed)
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seeds = rand (UInt, numtraj)
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@@ -79,8 +76,7 @@ sim = test_convergence(dts,ensemble_prob,RI3(),
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@test abs (sim. 𝒪est[:weak_final ]- 2 ) < 0.3
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println (" RI3:" , sim. 𝒪est[:weak_final ])
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- numtraj = Int (5e5 )
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- seed = 100
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+ numtraj = Int (2e6 )
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Random. seed! (seed)
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seeds = rand (UInt, numtraj)
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@@ -92,8 +88,7 @@ sim = test_convergence(dts,ensemble_prob,RI5(),
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@test abs (sim. 𝒪est[:weak_final ]- 2 ) < 0.3
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println (" RI5:" , sim. 𝒪est[:weak_final ])
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- numtraj = Int (7e5 )
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- seed = 100
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+ numtraj = Int (2e6 )
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Random. seed! (seed)
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seeds = rand (UInt, numtraj)
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@@ -106,7 +101,6 @@ sim = test_convergence(dts,ensemble_prob,RI6(),
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println (" RI6:" , sim. 𝒪est[:weak_final ])
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numtraj = Int (1e6 )
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- seed = 100
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Random. seed! (seed)
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seeds = rand (UInt, numtraj)
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@@ -118,8 +112,7 @@ sim = test_convergence(dts,ensemble_prob,RDI1WM(),
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@test abs (sim. 𝒪est[:weak_final ]- 1 ) < 0.3
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println (" RDI1WM:" , sim. 𝒪est[:weak_final ])
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- numtraj = Int (7e5 )
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- seed = 100
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+ numtraj = Int (2e6 )
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Random. seed! (seed)
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seeds = rand (UInt, numtraj)
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@@ -169,8 +162,7 @@ ensemble_prob = EnsembleProblem(prob;
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)
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- numtraj = Int (1e6 )
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- seed = 100
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+ numtraj = Int (6e6 )
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Random. seed! (seed)
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seeds = rand (UInt, numtraj)
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@@ -183,6 +175,9 @@ sim = test_convergence(dts,ensemble_prob,DRI1(),
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@test abs (sim. 𝒪est[:weak_final ]- 2 ) < 0.3
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println (" DRI1:" , sim. 𝒪est[:weak_final ])
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+ numtraj = Int (8e6 )
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+ Random. seed! (seed)
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+ seeds = rand (UInt, numtraj)
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sim = test_convergence (dts,ensemble_prob,DRI1NM (),
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save_everystep= false ,trajectories= numtraj,save_start= false ,adaptive= false ,
@@ -192,8 +187,7 @@ sim = test_convergence(dts,ensemble_prob,DRI1NM(),
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@test abs (sim. 𝒪est[:weak_final ]- 2 ) < 0.3
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println (" DRI1NM:" , sim. 𝒪est[:weak_final ])
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- numtraj = Int (5e5 )
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- seed = 100
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+ numtraj = Int (9e6 )
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Random. seed! (seed)
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seeds = rand (UInt, numtraj)
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@@ -202,11 +196,10 @@ sim = test_convergence(dts,ensemble_prob,RI1(),
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weak_timeseries_errors= false ,weak_dense_errors= false ,
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expected_value= 0.0
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)
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- @test abs (sim. 𝒪est[:weak_final ]- 2 ) < 0.3
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+ @test abs (sim. 𝒪est[:weak_final ]- 2 ) < 0.4
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println (" RI1:" , sim. 𝒪est[:weak_final ])
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- numtraj = Int (5e5 )
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- seed = 100
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+ numtraj = Int (1e6 )
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Random. seed! (seed)
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seeds = rand (UInt, numtraj)
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@@ -219,8 +212,7 @@ sim = test_convergence(dts,ensemble_prob,RI3(),
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println (" RI3:" , sim. 𝒪est[:weak_final ])
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- numtraj = Int (5e5 )
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- seed = 100
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+ numtraj = Int (2e6 )
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Random. seed! (seed)
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seeds = rand (UInt, numtraj)
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@@ -232,8 +224,7 @@ sim = test_convergence(dts,ensemble_prob,RI5(),
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@test abs (sim. 𝒪est[:weak_final ]- 2 ) < 0.3
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println (" RI5:" , sim. 𝒪est[:weak_final ])
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- numtraj = Int (7e5 )
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- seed = 100
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+ numtraj = Int (2e6 )
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Random. seed! (seed)
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seeds = rand (UInt, numtraj)
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@@ -246,7 +237,6 @@ sim = test_convergence(dts,ensemble_prob,RI6(),
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println (" RI6:" , sim. 𝒪est[:weak_final ])
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numtraj = Int (1e6 )
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- seed = 100
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Random. seed! (seed)
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seeds = rand (UInt, numtraj)
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@@ -259,8 +249,7 @@ sim = test_convergence(dts,ensemble_prob,RDI1WM(),
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println (" RDI1WM:" , sim. 𝒪est[:weak_final ])
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- numtraj = Int (1e6 )
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- seed = 100
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+ numtraj = Int (2e6 )
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Random. seed! (seed)
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seeds = rand (UInt, numtraj)
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@@ -315,8 +304,7 @@ ensemble_prob = EnsembleProblem(prob;
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prob_func = prob_func
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)
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- numtraj = Int (4e6 )
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- seed = 100
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+ numtraj = Int (5e6 )
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Random. seed! (seed)
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seeds = rand (UInt, numtraj)
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@@ -328,13 +316,16 @@ sim = test_convergence(dts,ensemble_prob,DRI1(),
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@test - (sim. 𝒪est[:weak_final ]- 2 ) < 0.3 # order is 2.91
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println (" DRI1:" , sim. 𝒪est[:weak_final ])
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+ numtraj = Int (8e6 )
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+ Random. seed! (seed)
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+ seeds = rand (UInt, numtraj)
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sim = test_convergence (dts,ensemble_prob,DRI1NM (),
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save_everystep= false ,trajectories= numtraj,save_start= false ,adaptive= false ,
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weak_timeseries_errors= false ,weak_dense_errors= false ,
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expected_value= 1 // 100 * exp (301 // 100 )
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)
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- @test abs (sim. 𝒪est[:weak_final ]- 2 ) < 0.35 # order is 2.91
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+ @test abs (sim. 𝒪est[:weak_final ]- 2 ) < 0.4 # order is 2.91
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println (" DRI1NM:" , sim. 𝒪est[:weak_final ])
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sim = test_convergence (dts,ensemble_prob,RI1 (),
@@ -362,8 +353,7 @@ sim = test_convergence(dts,ensemble_prob,RI5(),
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println (" RI5:" , sim. 𝒪est[:weak_final ])
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- numtraj = Int (4e6 )
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- seed = 70
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+ numtraj = Int (6e6 )
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Random. seed! (seed)
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seeds = rand (UInt, numtraj)
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@@ -376,8 +366,7 @@ sim = test_convergence(dts,ensemble_prob,RI6(),
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println (" R6:" , sim. 𝒪est[:weak_final ])
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- numtraj = Int (1e6 )
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- seed = 100
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+ numtraj = Int (4e6 )
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Random. seed! (seed)
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seeds = rand (UInt, numtraj)
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@@ -386,12 +375,11 @@ sim = test_convergence(dts,ensemble_prob,RDI1WM(),
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weak_timeseries_errors= false ,weak_dense_errors= false ,
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expected_value= 1 // 100 * exp (301 // 100 )
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)
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- @test abs (sim. 𝒪est[:weak_final ]- 1 ) < 0.45 # order is 1.44
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+ @test abs (sim. 𝒪est[:weak_final ]- 1 ) < 0.5 # order is 1.44
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println (" RDI1WM:" , sim. 𝒪est[:weak_final ])
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- numtraj = Int (4e6 )
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- seed = 70
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+ numtraj = Int (6e6 )
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Random. seed! (seed)
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seeds = rand (UInt, numtraj)
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@@ -405,7 +393,6 @@ println("RDI2WM:", sim.𝒪est[:weak_final])
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numtraj = Int (5e4 )
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- seed = 100
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Random. seed! (seed)
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seeds = rand (UInt, numtraj)
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