|
| 1 | +### Fallbacks to capture |
| 2 | +ROSENBROCKS_WITH_INTERPOLATIONS = Union{Rosenbrock23ConstantCache, Rosenbrock23Cache, |
| 3 | + Rosenbrock32ConstantCache, Rosenbrock32Cache, |
| 4 | + RosenbrockCombinedConstantCache, |
| 5 | + RosenbrockCache} |
| 6 | + |
| 7 | +function _ode_interpolant(Θ, dt, y₀, y₁, k, |
| 8 | + cache::ROSENBROCKS_WITH_INTERPOLATIONS, |
| 9 | + idxs, T::Type{Val{D}}, differential_vars) where {D} |
| 10 | + throw(DerivativeOrderNotPossibleError()) |
| 11 | +end |
| 12 | + |
| 13 | +function _ode_interpolant!(out, Θ, dt, y₀, y₁, k, |
| 14 | + cache::ROSENBROCKS_WITH_INTERPOLATIONS, |
| 15 | + idxs, T::Type{Val{D}}, differential_vars) where {D} |
| 16 | + throw(DerivativeOrderNotPossibleError()) |
| 17 | +end |
| 18 | + |
| 19 | +""" |
| 20 | +From MATLAB ODE Suite by Shampine |
| 21 | +""" |
| 22 | +@def rosenbrock2332unpack begin |
| 23 | + if cache isa OrdinaryDiffEqMutableCache |
| 24 | + d = cache.tab.d |
| 25 | + else |
| 26 | + d = cache.d |
| 27 | + end |
| 28 | +end |
| 29 | + |
| 30 | +@def rosenbrock2332pre0 begin |
| 31 | + @rosenbrock2332unpack |
| 32 | + c1 = Θ * (1 - Θ) / (1 - 2d) |
| 33 | + c2 = Θ * (Θ - 2d) / (1 - 2d) |
| 34 | +end |
| 35 | + |
| 36 | +@muladd function _ode_interpolant(Θ, dt, y₀, y₁, k, |
| 37 | + cache::Union{Rosenbrock23ConstantCache, |
| 38 | + Rosenbrock32ConstantCache}, idxs::Nothing, |
| 39 | + T::Type{Val{0}}, differential_vars) |
| 40 | + @rosenbrock2332pre0 |
| 41 | + @inbounds y₀ + dt * (c1 * k[1] + c2 * k[2]) |
| 42 | +end |
| 43 | + |
| 44 | +@muladd function _ode_interpolant(Θ, dt, y₀, y₁, k, |
| 45 | + cache::Union{Rosenbrock23Cache, Rosenbrock32Cache}, |
| 46 | + idxs::Nothing, T::Type{Val{0}}, differential_vars) |
| 47 | + @rosenbrock2332pre0 |
| 48 | + @inbounds @.. y₀+dt * (c1 * k[1] + c2 * k[2]) |
| 49 | +end |
| 50 | + |
| 51 | +@muladd function _ode_interpolant(Θ, dt, y₀, y₁, k, |
| 52 | + cache::Union{Rosenbrock23ConstantCache, Rosenbrock23Cache, |
| 53 | + Rosenbrock32ConstantCache, Rosenbrock32Cache |
| 54 | + }, idxs, T::Type{Val{0}}, differential_vars) |
| 55 | + @rosenbrock2332pre0 |
| 56 | + @.. y₀[idxs]+dt * (c1 * k[1][idxs] + c2 * k[2][idxs]) |
| 57 | +end |
| 58 | + |
| 59 | +@muladd function _ode_interpolant!(out, Θ, dt, y₀, y₁, k, |
| 60 | + cache::Union{Rosenbrock23ConstantCache, |
| 61 | + Rosenbrock23Cache, |
| 62 | + Rosenbrock32ConstantCache, Rosenbrock32Cache |
| 63 | + }, idxs::Nothing, T::Type{Val{0}}, differential_vars) |
| 64 | + @rosenbrock2332pre0 |
| 65 | + @inbounds @.. out=y₀ + dt * (c1 * k[1] + c2 * k[2]) |
| 66 | + out |
| 67 | +end |
| 68 | + |
| 69 | +@muladd function _ode_interpolant!(out, Θ, dt, y₀, y₁, k, |
| 70 | + cache::Union{Rosenbrock23ConstantCache, |
| 71 | + Rosenbrock23Cache, |
| 72 | + Rosenbrock32ConstantCache, Rosenbrock32Cache |
| 73 | + }, idxs, T::Type{Val{0}}, differential_vars) |
| 74 | + @rosenbrock2332pre0 |
| 75 | + @views @.. out=y₀[idxs] + dt * (c1 * k[1][idxs] + c2 * k[2][idxs]) |
| 76 | + out |
| 77 | +end |
| 78 | + |
| 79 | +# First Derivative of the dense output |
| 80 | +@def rosenbrock2332pre1 begin |
| 81 | + @rosenbrock2332unpack |
| 82 | + c1diff = (1 - 2 * Θ) / (1 - 2 * d) |
| 83 | + c2diff = (2 * Θ - 2 * d) / (1 - 2 * d) |
| 84 | +end |
| 85 | + |
| 86 | +@muladd function _ode_interpolant(Θ, dt, y₀, y₁, k, |
| 87 | + cache::Union{Rosenbrock23ConstantCache, Rosenbrock23Cache, |
| 88 | + Rosenbrock32ConstantCache, Rosenbrock32Cache |
| 89 | + }, idxs::Nothing, T::Type{Val{1}}, differential_vars) |
| 90 | + @rosenbrock2332pre1 |
| 91 | + @.. c1diff * k[1]+c2diff * k[2] |
| 92 | +end |
| 93 | + |
| 94 | +@muladd function _ode_interpolant(Θ, dt, y₀, y₁, k, |
| 95 | + cache::Union{Rosenbrock23ConstantCache, Rosenbrock23Cache, |
| 96 | + Rosenbrock32ConstantCache, Rosenbrock32Cache |
| 97 | + }, idxs, T::Type{Val{1}}, differential_vars) |
| 98 | + @rosenbrock2332pre1 |
| 99 | + @.. c1diff * k[1][idxs]+c2diff * k[2][idxs] |
| 100 | +end |
| 101 | + |
| 102 | +@muladd function _ode_interpolant!(out, Θ, dt, y₀, y₁, k, |
| 103 | + cache::Union{Rosenbrock23ConstantCache, |
| 104 | + Rosenbrock23Cache, |
| 105 | + Rosenbrock32ConstantCache, Rosenbrock32Cache |
| 106 | + }, idxs::Nothing, T::Type{Val{1}}, differential_vars) |
| 107 | + @rosenbrock2332pre1 |
| 108 | + @.. out=c1diff * k[1] + c2diff * k[2] |
| 109 | + out |
| 110 | +end |
| 111 | + |
| 112 | +@muladd function _ode_interpolant!(out, Θ, dt, y₀, y₁, k, |
| 113 | + cache::Union{Rosenbrock23ConstantCache, |
| 114 | + Rosenbrock23Cache, |
| 115 | + Rosenbrock32ConstantCache, Rosenbrock32Cache |
| 116 | + }, idxs, T::Type{Val{1}}, differential_vars) |
| 117 | + @rosenbrock2332pre1 |
| 118 | + @views @.. out=c1diff * k[1][idxs] + c2diff * k[2][idxs] |
| 119 | + out |
| 120 | +end |
| 121 | + |
1 | 122 | """
|
2 | 123 | From MATLAB ODE Suite by Shampine
|
3 | 124 | """
|
|
0 commit comments