add non-lazy mode

[ChrisRackauckas]

No description provided.

[ChrisRackauckas]

Still need to only non-lazy if adaptivity succeeds

[ChrisRackauckas]

Fixes #285

[ChrisRackauckas]

Visual test case:

using OrdinaryDiffEq
using StaticArrays

f(x, p, t) = SVector(x[2], -x[2]-x[1]+p[1])  # x'' + x' + x = ±p₁
h(u, t, integrator) = u[1]-integrator.p[2]  # switching surface x = ±p₂;
g(integrator) = (integrator.p .= -integrator.p)  # impact map (p₁, p₂) = -(p₁, p₂)

prob = ODEProblem(f,  # RHS
                  SVector(0.0, 1.0),  # initial value
                  (0.0, 100.0),  # time interval
                  MVector(1.0, 1.0))  # parameters
cb = ContinuousCallback(h, g)

sol = solve(prob, DP8(), callback=cb)
plot(sol,vars=(1,2))

sol = solve(prob, BS5(lazy=false), callback=cb);
plot(sol,vars=(1,2))

sol = solve(prob, Vern6(lazy=false), callback=cb);
plot(sol,vars=(1,2))

sol = solve(prob, Vern7(lazy=false), callback=cb);
plot(sol,vars=(1,2))

sol = solve(prob, Vern8(lazy=false), callback=cb);
plot(sol,vars=(1,2))

sol = solve(prob, Vern9(lazy=false), callback=cb);
plot(sol,vars=(1,2))

[ChrisRackauckas]

@YingboMa I'll merge this soon. Note the changes to addsteps removes the value-types entirely. This works well on v0.7 anyways because of constant propogation of the bools. But this will need to be considered in the rebase (i.e. accept the changes here since the depwarn fix is nullified by the types no longer existing)

[coveralls]

Coverage decreased (-1.1%) to 74.301% when pulling d3bf319 on lazy6 into 2207147 on master.

[codecov]

Codecov Report

Merging #418 into master will increase coverage by 0.14%.
The diff coverage is 100%.

@@            Coverage Diff             @@
##           master     #418      +/-   ##
==========================================
+ Coverage   83.32%   83.47%   +0.14%     
==========================================
  Files          78       78              
  Lines       23258    23462     +204     
==========================================
+ Hits        19380    19585     +205     
+ Misses       3878     3877       -1

Impacted Files	Coverage Δ
src/dense/stiff_addsteps.jl	87.76% <100%> (ø)	⬆️
src/dense/high_order_rk_addsteps.jl	100% <100%> (ø)	⬆️
src/perform_step/low_order_rk_perform_step.jl	100% <100%> (ø)	⬆️
src/algorithms.jl	97.76% <100%> (ø)	⬆️
src/dense/generic_dense.jl	66.15% <100%> (ø)	⬆️
src/perform_step/verner_rk_perform_step.jl	100% <100%> (ø)	⬆️
src/dense/verner_addsteps.jl	100% <100%> (ø)	⬆️
src/dense/low_order_rk_addsteps.jl	99.39% <100%> (ø)	⬆️
src/integrators/integrator_interface.jl	75.91% <100%> (+0.53%)	⬆️
src/alg_utils.jl	87.22% <0%> (+0.36%)	⬆️

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