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README.md

@@ -1,5 +1,7 @@
 # DormandPrince.jl
 
+[![codecov](https://codecov.io/github/QuEraComputing/DormandPrince.jl/graph/badge.svg?token=qYZ4V7m0JY)](https://codecov.io/github/QuEraComputing/DormandPrince.jl)
+
 Julia-native implementation of the Dormand-Prince 5th order solver
 
 ## Installation

test/checks.jl

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+using Test
+using DormandPrince.DP5Core:
+    DP5Options,
+    check_max_allowed_steps,
+    check_uround,
+    check_beta,
+    check_safety_factor
+
+@testset "Test Checks" begin
+
+    @testset "Check Max Allowed Steps" begin
+        options = DP5Options{Float64}(maximum_allowed_steps=-1)
+        @test check_max_allowed_steps(options) == false
+
+        options = DP5Options{Float64}(maximum_allowed_steps=1)
+        @test check_max_allowed_steps(options) == true
+    end
+
+    @testset "Check uround" begin
+        options = DP5Options{Float64}(uround=1e-36)
+        @test check_uround(options) == false
+
+        options = DP5Options{Float64}(uround=1.1)
+        @test check_uround(options) == false
+
+        options = DP5Options{Float64}(uround=1e-10)
+        @test check_uround(options) == true
+    end
+
+    @testset "Check beta" begin
+        options = DP5Options{Float64}(beta=0.3)
+        @test check_beta(options) == false
+
+        options = DP5Options{Float64}(beta=0.01)
+        @test check_beta(options) == true
+    end
+
+    @testset "Check safety factor" begin
+        options = DP5Options{Float64}(safety_factor=1.1)
+        @test check_safety_factor(options) == false
+
+        options = DP5Options{Float64}(safety_factor=1e-5)
+        @test check_safety_factor(options) == false
+
+        options = DP5Options{Float64}(safety_factor=0.5)
+        @test check_safety_factor(options) == true
+    end
+
+end

test/errors.jl

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+using Test
+using DormandPrince.DP5Core:
+    DP5Solver,
+    DP5Options,
+    LARGER_NMAX_NEEDED,
+    STEP_SIZE_BECOMES_TOO_SMALL,
+    dopcor
+
+function fcn(x, y, f) 
+    f[1] = y[1]^2 - y[1]^3
+end
+
+@testset "Larger nmax needed" begin
+    solver = DP5Solver(
+        fcn,
+        0.0, # start at 0.0
+        [0.0001] # delta
+        ; maximum_allowed_steps=1
+    )
+
+
+    h, report = dopcor(solver, 2/0.0001, 0.1, 0.0)
+    @test report.idid == LARGER_NMAX_NEEDED
+
+end
+
+@testset "Step size becomes too small" begin
+    solver = DP5Solver(
+        fcn,
+        0.0,
+        [0.0001]
+        ; uround=10000
+    )
+
+
+    h, report = dopcor(solver, 2/0.0001, 0.1, 0.0)
+    @test report.idid == STEP_SIZE_BECOMES_TOO_SMALL
+end

test/interface.jl

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+using Test
+using LinearAlgebra
+using DormandPrince: DP5Solver, integrate
+
+function evolution_operator(t::Float64)
+    ϕ = 2.2 * sin(π * t)^2
+    U = zeros(ComplexF64, 2,2)
+    U[1,1] =  1 / sqrt(2)
+    U[2,1] =  1 / sqrt(2)
+    U[2,2] =  1 / sqrt(2)
+    U[1,2] = -1 / sqrt(2)
+
+    U * diagm(exp.([-im*ϕ, im*ϕ])) * U'
+end
+
+function solution(t)
+    U = evolution_operator(t)
+    return U * [1.0, 0.0]
+
+end
+
+function fcn(x, y, f)
+    g(x) = 2.2*2π*sin(2π*x)
+
+    f[1] = -1im * g(x)/2 * y[2]
+    f[2] = -1im * g(x)/2 * y[1]
+end
+
+# standalone solver test
+@testset "Integration Test" begin
+    solver = DP5Solver(
+        fcn,
+        0.0,
+        ComplexF64[1.0, 0.0]
+    )
+
+    integrate(solver, 2π)
+
+    @test solver.y ≈ solution(2π)
+end
+
+# Test integrate() 
+@testset "Integration Interface Test" begin
+
+    # test iterator generation
+    @testset "Iterator Interface" begin
+        times = [0.1, 0.5, 1.1]
+        exact_values = []
+        dp5_values = []
+
+        # get exact values
+        for t in times
+            push!(exact_values, solution(t))
+        end
+
+        # use iterator to get exact values
+        solver = DP5Solver(
+            fcn,
+            0.0,
+            ComplexF64[1.0, 0.0]
+        )
+
+        iter = integrate(solver, times)
+
+        for (t,y) in iter
+            push!(dp5_values, copy(y))
+        end
+
+        @test dp5_values ≈ exact_values
+    end
+
+    @testset "Callback Interface" begin
+        times = [0.1, 0.5, 1.1]
+        callback_times = []
+        exact_values = []
+        dp5_values = []
+
+        # get exact values
+        for t in times
+            push!(exact_values, solution(t))
+        end
+
+        # use iterator to get exact values
+        solver = DP5Solver(
+            fcn,
+            0.0,
+            ComplexF64[1.0, 0.0]
+        )
+
+        integrate(solver, times) do t, y
+            push!(callback_times, t)
+            push!(dp5_values, copy(y))
+        end
+
+        @test dp5_values ≈ exact_values
+    end
+end

test/runtests.jl

@@ -1,86 +1,21 @@
-using Test
-using LinearAlgebra
-using DormandPrince: DP5Solver, dopri5, integrate
-# test error paths of dopcor, bypass checks if necessary 
-
-include("exact_evol_helpers.jl")
 
+# test error paths of dopcor, bypass checks if necessary 
 
-function fcn(x, y, f)
-    g(x) = 2.2*2π*sin(2π*x)
+using Test
 
-    f[1] = -1im * g(x)/2 * y[2]
-    f[2] = -1im * g(x)/2 * y[1]
+@testset "Interface" begin
+    include("interface.jl")
 end
 
-# standalone solver test
-@testset "Integration Test" begin
-    solver = DP5Solver(
-        fcn,
-        0.0,
-        ComplexF64[1.0, 0.0]
-    )
-
-    integrate(solver, 2π)
-
-    @test solver.y ≈ solution(2π)
+@testset "Checks" begin
+    include("checks.jl")
 end
 
-# Test integrate() 
-@testset "Integration Interface Test" begin
-
-    # test iterator generation
-    @testset "Iterator Interface" begin
-        times = [0.1, 0.5, 1.1]
-        exact_values = []
-        dp5_values = []
-
-        # get exact values
-        for t in times
-            push!(exact_values, solution(t))
-        end
 
-        # use iterator to get exact values
-        solver = DP5Solver(
-            fcn,
-            0.0,
-            ComplexF64[1.0, 0.0]
-        )
-
-        iter = integrate(solver, times)
-
-        for (t,y) in iter
-            push!(dp5_values, copy(y))
-        end
-
-        @test dp5_values ≈ exact_values
-    end
-
-    @testset "Callback Interface" begin
-        times = [0.1, 0.5, 1.1]
-        callback_times = []
-        exact_values = []
-        dp5_values = []
-
-        # get exact values
-        for t in times
-            push!(exact_values, solution(t))
-        end
-
-        # use iterator to get exact values
-        solver = DP5Solver(
-            fcn,
-            0.0,
-            ComplexF64[1.0, 0.0]
-        )
-
-        integrate(solver, times) do t, y
-            push!(callback_times, t)
-            push!(dp5_values, copy(y))
-        end
-
-        @test dp5_values ≈ exact_values
-    end
+@testset "Stiff ODE" begin
+    include("stiff.jl")
 end
 
-
+@testset "Error Paths" begin
+    include("errors.jl")
+end

test/stiff.jl

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+using Test
+using DormandPrince: DP5Solver, integrate
+
+function fcn(x, y, f) 
+    f[1] = y[1]^2 - y[1]^3
+end
+
+@testset "Stiff ODE" begin
+
+    solver = DP5Solver(
+        fcn,
+        0.0, # start at 0.0
+        [0.0001] # initial value of delta
+    )
+
+    integrate(solver, 2/0.0001)
+
+end