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Merged
merged 9 commits into from
Oct 15, 2025
Merged

Newtrack #11

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c75a515
fixes
mattsignorelli Oct 13, 2025
df919ae
export time
mattsignorelli Oct 13, 2025
5b34884
update ad-examples.ipybn
mattsignorelli Oct 14, 2025
a05bb46
Spin tracking
JosephPeterDevlin Oct 14, 2025
7569e99
Merge remote-tracking branch 'origin/newtrack' into newtrack
JosephPeterDevlin Oct 14, 2025
17fcb2f
Spin tracking
JosephPeterDevlin Oct 14, 2025
e17e4b2
Remove extra file
JosephPeterDevlin Oct 14, 2025
811ffe2
modify track
mattsignorelli Oct 14, 2025
c5405cc
fix
mattsignorelli Oct 14, 2025
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241 changes: 241 additions & 0 deletions examples/ad-examples.ipynb
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Original file line number Diff line number Diff line change
@@ -0,0 +1,241 @@
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "1ff2c3b4-e83b-4348-8c02-8504740c02b2",
"metadata": {},
"outputs": [],
"source": [
"using SciBmad\n",
"using DifferentiationInterface\n",
"import DifferentiationInterface as DI\n",
"# Different differentiation packages:\n",
"using ForwardDiff, GTPSA, ReverseDiff, FiniteDiff, FiniteDifferences"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "2f720d76-f35b-4575-9967-97de69c67152",
"metadata": {},
"outputs": [],
"source": [
"K1 = 0.36\n",
"K2 = 0.1\n",
"\n",
"qf = Quadrupole(L=0.5, Kn1=K1)\n",
"sf = Sextupole(L=0.2, Kn2=K2)\n",
"d = Drift(L=0.6)\n",
"b = SBend(L=6.0, angle=π/132)\n",
"qd = Quadrupole(L=0.5, Kn1=-K1)\n",
"sd = Sextupole(L=0.2, Kn2=-K2)\n",
"fodo = Beamline([qf, d, sf, b, sd, d, qd], species_ref=Species(\"electron\"), E_ref=18e9);"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "3de3d2f8-abe3-4559-9ce8-1741afb8b9ae",
"metadata": {},
"outputs": [],
"source": [
"# Returns exit coordinates for 1 particle\n",
"function track_a_particle(v0, beamline)\n",
" v0_ = similar(v0)\n",
" v0_ .= v0\n",
" b0 = Bunch(v0_; species=beamline.species_ref, R_ref=beamline.R_ref)\n",
" track!(b0, beamline)\n",
" return b0.coords.v\n",
"end\n",
"x0 = [1e-2, 0.0, 1e-2, 0.0, 0.0, 0.0];"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "b481def7-4306-47bd-ae1b-802fcb05a41b",
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"6×6 Matrix{Float64}:\n",
" -0.501301 8.58617 0.000765453 -0.00240033 0.0 0.122029\n",
" -0.257394 2.41377 -0.000629133 -0.00359376 0.0 0.0439702\n",
" 0.00154156 -0.00171283 2.41678 8.59153 0.0 -0.013781\n",
" 4.81099e-5 -0.00281752 -0.256971 -0.499744 0.0 0.00253851\n",
" -0.00937178 -0.0829428 -0.0027041 -0.0152556 1.0 -0.000483029\n",
" 0.0 0.0 0.0 0.0 0.0 1.0"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Forward AD using ForwardDiff.jl:\n",
"prep_FD = DI.prepare_jacobian(track_a_particle, AutoForwardDiff(), x0, Constant(fodo))\n",
"J_FD = DI.jacobian(track_a_particle, prep_FD, AutoForwardDiff(), x0, Constant(fodo))"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "fa4ffadf-e727-4951-9163-75a760a0b4ff",
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"6×6 Matrix{Float64}:\n",
" -0.501301 8.58617 0.000765453 -0.00240033 0.0 0.122029\n",
" -0.257394 2.41377 -0.000629133 -0.00359376 0.0 0.0439702\n",
" 0.00154156 -0.00171283 2.41678 8.59153 0.0 -0.013781\n",
" 4.81099e-5 -0.00281752 -0.256971 -0.499744 0.0 0.00253851\n",
" -0.00937178 -0.0829428 -0.0027041 -0.0152556 1.0 -0.000483029\n",
" 0.0 0.0 0.0 0.0 0.0 1.0"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Taylor AD using GTPSA.jl:\n",
"prep_GTPSA = DI.prepare_jacobian(track_a_particle, AutoGTPSA(), x0, Constant(fodo))\n",
"J_GTPSA = DI.jacobian(track_a_particle, prep_GTPSA, AutoGTPSA(), x0, Constant(fodo))"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "351aa79a-7bbd-423c-8613-a0a9ceb0b0bd",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"6×6 Matrix{Float64}:\n",
" -0.501301 8.58617 0.000765453 -0.00240033 0.0 0.122029\n",
" -0.257394 2.41377 -0.000629133 -0.00359376 0.0 0.0439702\n",
" 0.00154156 -0.00171283 2.41678 8.59153 0.0 -0.013781\n",
" 4.81099e-5 -0.00281752 -0.256971 -0.499744 0.0 0.00253851\n",
" -0.00937178 -0.0829428 -0.0027041 -0.0152556 1.0 -0.000483029\n",
" 0.0 0.0 0.0 0.0 0.0 1.0"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Reverse AD using ReverseDiff.jl:\n",
"prep_RD = DI.prepare_jacobian(track_a_particle, AutoReverseDiff(;compile=true), x0, Constant(fodo))\n",
"J_RD = DI.jacobian(track_a_particle, prep_RD, AutoReverseDiff(;compile=true), x0, Constant(fodo))"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "d835d6a6-7ebb-4971-850e-35995f9df4c4",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"6×6 Matrix{Float64}:\n",
" -0.501301 8.58617 0.000765455 -0.00240034 0.0 0.122029\n",
" -0.257394 2.41377 -0.000629133 -0.00359377 0.0 0.0439702\n",
" 0.00154156 -0.00171282 2.41678 8.59153 0.0 -0.013781\n",
" 4.81099e-5 -0.00281752 -0.256971 -0.499744 0.0 0.00253851\n",
" -0.00937178 -0.0829429 -0.00270414 -0.0152558 1.0 -0.000483002\n",
" 0.0 0.0 0.0 0.0 0.0 1.0"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Finite differencing using FiniteDiff.jl:\n",
"prep_fdif1 = DI.prepare_jacobian(track_a_particle, AutoFiniteDiff(), x0, Constant(fodo))\n",
"J_fdif1 = DI.jacobian(track_a_particle, prep_fdif1, AutoFiniteDiff(), x0, Constant(fodo))"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "c88033cb-f9ab-4a71-a3af-f2eb9e162c18",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"6×6 Matrix{Float64}:\n",
" -0.501301 8.58617 0.000765453 -0.00240033 0.0 0.122029\n",
" -0.257394 2.41377 -0.000629133 -0.00359376 0.0 0.0439702\n",
" 0.00154156 -0.00171283 2.41678 8.59153 0.0 -0.013781\n",
" 4.81099e-5 -0.00281752 -0.256971 -0.499744 0.0 0.00253851\n",
" -0.00937178 -0.0829428 -0.0027041 -0.0152556 1.0 -0.000483029\n",
" 0.0 0.0 0.0 0.0 0.0 1.0"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Finite differencing using FiniteDifferences.jl:\n",
"prep_fdif2 = DI.prepare_jacobian(track_a_particle, AutoFiniteDifferences(;fdm=central_fdm(3,1)), x0, Constant(fodo))\n",
"J_fdif2 = DI.jacobian(track_a_particle, prep_fdif2, AutoFiniteDifferences(;fdm=central_fdm(3,1)), x0, Constant(fodo))"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "3cd2cc3d-8016-4aa6-bea5-77591bd20397",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"true"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Show they're all equal:\n",
"J_FD ≈ J_GTPSA ≈ J_RD ≈ J_fdif1 ≈ J_fdif2"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Julia Global Project (8 threads) 1.10.10",
"language": "julia",
"name": "julia-global-project-_8-threads_-1.10"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "1.10.10"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
4 changes: 1 addition & 3 deletions lattices/toy_ags.jl
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Expand Up @@ -10,8 +10,6 @@ Lb = 2 * asin(2.66666666666666652E+000 * 1.96327112309048618E-002 / 2)/1.9632711
csnk = Marker()
wsnk = Marker()
end1 = Marker()
rfbc = RFCavity(L = 1.00000000000000000E+000, harmon = 1,
voltage = 3.20000000000000000E+5)
end


Expand All @@ -37,6 +35,6 @@ ring = Beamline([q1h, dr, b, dr, q2, dr, b, dr, q1h, q1h, dr, b, dr, q2, dr, b,
dr, b, dr, q1h, q1h, dr, b, dr, q2, dr, b, dr, q1h, q1h, dr, b, dr, q2, dr, b, dr, q1h, q1h, dr, b, dr,
q2, dr, b, dr, q1h, q1h, dr, b, dr, q2, dr, b, dr, q1h, q1h, dr, b, dr, q2, dr, b, dr, q1h, q1h, dr, b,
dr, q2, dr, b, dr, q1h, end1],
E_ref =2.40490243299096680E+010, # 3.5587247443204529E+10 + 2*1.9018517828440544e10*Time(),
E_ref = 3.5587247443204529E+10 + 2*1.9018517828440544e10*Time(), #2.40490243299096680E+010
species_ref = Species("proton"))

3 changes: 2 additions & 1 deletion src/SciBmad.jl
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Expand Up @@ -20,7 +20,7 @@ end

const BTBL = Base.get_extension(BeamTracking, :BeamTrackingBeamlinesExt)

export twiss, find_closed_orbit, track!, track
export twiss, find_closed_orbit, track!, track, Time

function fast_coast_check(bl; use_KA=false, use_explicit_SIMD=false)
# Just check if dpz/dz == 0
Expand Down Expand Up @@ -288,6 +288,7 @@ include("newton.jl")


@setup_workload begin

@compile_workload begin
# We want to compile drift-kick-drift, matrix-kick-matrix
# and solenoid kick for different numbers of multipoles
Expand Down
2 changes: 1 addition & 1 deletion src/newton.jl
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Expand Up @@ -10,7 +10,7 @@ Finds roots of f!(y, x) using Newton's method.

# Keyword arguments
- `abstol`: Convergence absolute tolerance (default: 1e-13)
- `rektol`: Convergence relative tolerance (default: 1e-13)
- `reltol`: Convergence relative tolerance (default: 1e-13)
- `max_iter`: Maximum number of iterations (default: 100)

Returns `NamedTuple` containing newton search results.
Expand Down
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