cobra-headtail ICE Meeting 6. November 2013, CERN
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1 cobra-headtail ICE Meeting 6. November 2013, CERN, Adrian Oeftiger, Giovanni Rumolo
2 Overview Motivation Model Design Benchmark Demo Conclusions
3 Motivation 3/68
4 What is cobra-headtail? A little success story: ECLOUD 4/68
5 What is cobra-headtail? A little success story: Written in Python: ECLOUD Python PyECLOUD G. Iadarola G. Rumolo Interpreted language (open source), allowing incremental and interactive development of the code, encouraging an highly modular structure Libraries for scientific computation (e.g Numpy, Scipy, Pylab) Extensible with C/C++ or FORTRAN compiled modules for computationally intensive parts 5/68
6 What is cobra-headtail? A little success story: ECLOUD Python PyECLOUD HeadTail 6/68
7 What is cobra-headtail? A little success story: ECLOUD HeadTail Python PyECLOUD PyHeadTail 7/68
8 What is cobra-headtail? A little success story: ECLOUD HeadTail Python C++ Python PyECLOUD PyHeadTail X 8/68
9 What is cobra-headtail? A little success story: ECLOUD HeadTail Python C++ Python Written in C++ interfaced by Python: PyECLOUD PyHeadTail X cobra-headtail The whole effort for modularization started with the choice for C++ C++ is fairly high level, generic and combines modularity and object-orientation with the high performance of a compiled language C++ lacks the flexibility provided by a script language provide an interface to Python via boost libraries we get the best of both worlds! 9/68
10 What is cobra-headtail? A little success story: ECLOUD HeadTail Python C++ Python PyECLOUD PyHeadTail X cobra-headtail Collective beam dynamics in ring accelerators 10/68
11 What is cobra-headtail? A little success story: ECLOUD HeadTail Python C++ Python PyECLOUD PyHeadTail X cobra-headtail Collective beam dynamics in ring accelerators & Analysis of cobra-headtail numerical simulation data 11/68
12 What is cobra-headtail? A little success story: ECLOUD HeadTail Python C++ Python PyECLOUD PyHeadTail X cobra-headtail Collective beam dynamics in ring accelerators & Analysis of cobra-headtail numerical simulation data Anaconda 12/68
13 What is cobra-headtail? A little success story: ECLOUD HeadTail t t PyECLOUD u u b b,, t i t i f f o C++ o t t!! PyHeadTail s X n s n Python o m i o m i t e t cobra-headtail e u e u e ccaa s s l l l AA l Collective beam dynamics in ring accelerators Python & Analysis of cobra-headtail numerical simulation data Anaconda 13/68
14 What is cobra-headtail? not to be mixed-up 14/68
15 What is cobra-headtail? 15/68
16 What is cobra-headtail? Actually, we are doing exactly that, but sticking to well-known Python as our scripting language... so maybe there is actually some truth in this disambiguation 16/68
17 Why cobra-headtail? Why cobra-headtail? HeadTail works just fine! 18/68
18 Why cobra-headtail? Why cobra-headtail? HeadTail works just fine! The reference: HeadTail 2000 by G. Rumolo and F. Zimmermann 19/68
19 Why cobra-headtail? Why cobra-headtail? HeadTail works just fine! HeadTail with matching for ions HeadTail ECLOUD HeadTail Impedance The reference: HeadTail 2000 by G. Rumolo and F. Zimmermann 20/68
20 Why cobra-headtail? Why cobra-headtail? HeadTail works just fine! HeadTail ECLOUD with SUSSIX analysis Lattice HeadTail Multi-bunch HeadTail HeadTail with matching for ions HeadTail ECLOUD HeadTail Impedance The reference: HeadTail 2000 by G. Rumolo and F. Zimmermann 21/68
21 Why cobra-headtail? Why cobra-headtail? HeadTail works just fine! HeadTail ECLOUD with wideband feedback Lattice HeadTail with radiation damping HeadTail ECLOUD with SUSSIX analysis Multi-bunch HeadTail with longitudinal collective effects Lattice HeadTail Multi-bunch HeadTail HeadTail with matching for ions HeadTail ECLOUD HeadTail Impedance The reference: HeadTail 2000 by G. Rumolo and F. Zimmermann 22/68
22 Why cobra-headtail? Why cobra-headtail? HeadTail works just fine! HeadTail ECLOUD with wideband feedback Lattice HeadTail with radiation damping HeadTail ECLOUD with SUSSIX analysis Multi-bunch HeadTail with longitudinal collective effects Space charge Lattice HeadTail Multi-bunch HeadTail HeadTail with matching for ions HeadTail ECLOUD HeadTail Impedance The reference: HeadTail 2000 by G. Rumolo and F. Zimmermann 23/68
23 Why cobra-headtail? Why cobra-headtail? HeadTail works just fine! HeadTail ECLOUD with wideband feedback Lattice HeadTail with radiation damping Multi-bunch HeadTail with longitudinal collective effects At At least least we we had had svn svn some some kind kind of of version version control control Still, work is redone Still, efforts efforts are are scattered, scattered, work is redone Space and good work is under the thread of being HeadTail ECLOUD charge andwith good work is under thread of being Lattice the HeadTail Multi-bunch HeadTail SUSSIX analysis lost lost HeadTail with matching for ions HeadTail ECLOUD HeadTail Impedance The reference: HeadTail 2000 by G. Rumolo and F. Zimmermann 24/68
24 Why cobra-headtail? Possible reasons for scattered efforts: People like to understand what they write; a non-modular code is full of dependencies with global variables scattered all over the place sometimes very hard to understand Okay, I will now write my own version of the code that only I can understand! It is simple and quick (at least, it seems so at first) to hardcode some simple modifications for one specific purpose and add them within some switch statement (hoping it will not interfere with anything else...) 25/68
25 Why cobra-headtail? Possible reasons for scattered efforts: People like to understand what they write; a non-modular code is full of dependencies with global variables scattered all over the place sometimes very hard to understand Okay, I will now write my own version of the code that only I can understand! It is simple and quick (at least, it seems so at first) to hardcode some simple modifications for one specific purpose and add them within some switch statement (hoping it will not interfere with anything else...) Possible solutions Extendible Flexible Manageable Translatable How about having a basic platform to which anyone can contribute his own independent part of code which anyone can use just by somehow plugging it in? 26/68
26 Why cobra-headtail? Possible reasons for scattered efforts: People like to understand what they write; a non-modular code is full of dependencies with global variables scattered all over the place sometimes very hard to understand Okay, I will now write my own version of the code that only I can understand! It is simple and quick (at least, it seems so at first) to hardcode some simple modifications for one specific purpose and add them within some switch statement (hoping it will not interfere with anything else...) Possible solutions Extendible Flexible Manageable Translatable How about having a fully modular scriptable HeadTail with Python syntax written in a compiled language prepared for HPC? 27/68
27 Also followed by other groups Victor Maier (CERN) 28/68
28 Also followed by other groups Jean-Luc Vay (Berkeley) 29/68
29 Model 30/68
30 The HeadTail model class Ensemble { std::vector } Time evolution of a particle ensemble is generated via a Poisson bracket with the Hamiltonian H_drift H_drift H_kick H_kick H_kick 31/68
31 The HeadTail model class Ensemble { std::vector } Time evolution of a particle ensemble is generated via a Poisson bracket with the Hamiltonian Several Hamiltonian are formally easily concatenated H_drift H_drift H_kick H_kick H_kick 32/68
32 The HeadTail model class Ensemble { std::vector } Time evolution of a particle ensemble is generated via a Poisson bracket with the Hamiltonian Several Hamiltonian are formally easily concatenated H_drift H_drift H_kick H_kick H_kick Symmetrized split operator method immediately yields a second order symplectic tracking algorithm (Leapfrog) 33/68
33 The HeadTail model transverse Transverse plane H_ltm: linear transfer map H_kick: Beam-beam Damper Electron cloud H_ltm Multipolar wakefields H_ltm H_kick H_kick H_kick Space-charge... 34/68
34 H_drift or linear focusing channel Chromaticity, amplitude detuning, over one full turn 36/68
35 One-turn-map Model allows simple implementation e.g. of lumped impedances (1): J. Bengtsson, SLS Note 9/97, Paul Scherrer Institut (PSI), Villigen, Schweiz 37/68
36 The HeadTail model longitudinal Longitudinal plane: (*) 2nd order symplectic via split operators Leap-frog H_ltm H_ltm H_kick H_kick (**) 4th order symplectic via split operators (Ron Ruth, SLAC) H_kick 38/68
37 HeadTail split beam dipolar moment 40/68
38 HeadTail split beam dipolar moment external sources self-consistent solution 41/68
39 HeadTail split HeadTail HeadTail self-consistency self-consistency external sources self-consistent solution 42/68
40 Design 43/68
41 cobra-headtail design Classes Betatron Bunch Feedback Cloud PoissonFFT Monitor Wakefields RFCavity Core: Core: cobra-headtail cobra-headtail C++ language C++core corehttp:// language&&c++ C++Standard StandardLibrary Library 45/68
42 cobra-headtail design Python Python libbetatron libbunch libfeedback libcloud libpoisson libmonitor libwakefields librfcavity Boost.Python Classes Betatron Bunch Feedback Cloud PoissonFFT Monitor Wakefields RFCavity Core: Core: cobra-headtail cobra-headtail C++ language C++core corehttp:// language&&c++ C++Standard StandardLibrary Library 46/68
43 cobra-headtail design 3rd party libraries: libbetatron libbunch Python Python libfeedback libcloud libpoisson libmonitor libwakefields librfcavity Boost.Python Classes Betatron Bunch Beam GSL - GNU Monitor Library RFCavity Scientific Feedback Cloud PoissonFFT Wakefields Core: Core: cobra-headtail cobra-headtail C++ language C++core corehttp:// language&&c++ C++Standard StandardLibrary Library 47/68
44 Documentation We should try to write the Documentation along with the code - Class hierarchy 48/68
45 Documentation We should try to write the Documentation along with the code - Class hierarchy - Class members overview 49/68
46 Documentation We should try to write the Documentation along with the code - Class hierarchy - Class members overview - Class member documentation 50/68
47 cobra-headtail design Extendible: Write a new class respecting the interface conventions and export via boost.python or write it all directly as a Python module which naturally merges into cobra-headtail Flexible: Write your own personal main function using all the modules provided by cobra-headtail and write it in Python! Manageable: The code is fully modular, dependencies are minimized. Each module author can be a module keeper of his own part of the code without breaking the global structure of the program or other independent modules Translatable: Python modules can be interfaced from a vast amount of languages Fortran, C/C++, Matlab 51/68
48 Benchmarks 52/68
49 Benchmarks - tracking Linear bucket 53/68
50 Benchmarks - tracking Linear bucket chromaticity 54/68
51 Benchmarks - tracking Linear bucket chromaticity amplitude detuning 55/68
52 Benchmarks - tracking Linear bucket chromaticity amplitude detuning after 350 turns cobra-headtail HeadTail Initial 56/68
53 Benchmarks - tracking Nonlinear bucket 57/68
54 Benchmarks - tracking Nonlinear bucket chromaticity 58/68
55 Benchmarks - tracking Nonlinear bucket chromaticity amplitude detuning 59/68
56 Benchmarks - tracking Nonlinear bucket chromaticity amplitude detuning after 350 turns cobra-headtail HeadTail Initial 60/68
57 Poisson solver New FFT-type 2D integrated Green's function Poisson solver similar to Ji Qiang's1 BeamBeam3D or Impact Base class functions highly generic Prepared for simple parallelisation 1 J. Qiang et al., A parallel particle-in-cell model for beam beam interaction in high energy ring colliders, article/pii/s /68
58 Poisson solver New FFT-type 2D integrated Green's function Poisson solver similar to Ji Qiang's1 BeamBeam or Impact Base class functions highly generic Prepared for simple parallelisation 1 Nice application and benchmark by J. Qiang et al., A parallel Maxim Schubiger & Tatiana Pieloni: particle-in-cell model for beam beam beam-beam kicks during Luminosity interaction in high energy ring colliders, article/pii/s scan 62/68
59 Demo 63/68
60 cobra-headtail workflow Import libraries we want to use Create objects we want to use for our simulation Select the collective kick elements that we would like to treat and position them along the ring Build some maps Connect all kick elements with linear transfer maps (create a betatron object) Track for i in xrange(nturns): for m in map: m.track(bunch) Postprocess 64/68
61 cobra-headtail demo Let's see how we can use this code... we will go through the following steps: Fetch using git Build using CMake Initialize a bunch Build a lattice Transverse tracking Longitudinal tracking Implement an ideal damper Introduce some electron cloud 65/68
62 cobra-headtail demo Required packages to build C++ compiler C++ libraries and development package boost libraries and development package FFTW3 libraries and development package GSL libraries and development package HDF5 libraries and development package cmake Up-to-date versions of Python, NumPy, Scipy, Matplotlib etc. git clone cobra-demo mkdir cobra-demo-build; cd cobra-demo-build cmake../cobra-demo/src make Makefile Libraries 66/68
63 cobra-headtail demo Required packages to build C++ compiler C++ libraries and development package boost libraries and development package FFTW3 libraries and development package GSL libraries and development package HDF5 libraries and development package cmake Up-to-date versions of Python, NumPy, Scipy, Matplotlib etc. git clone cobra-demo mkdir cobra-demo-build; cd cobra-demo-build cmake../cobra-demo/src Make Makefile Libraries 67/68
64 Conclusions Developed a modular and scriptable, Python interfaced version of HeadTail written in C++ and interfaced via Boost.Python In principle, any effect can now be added as module with relative ease Pre-beta version is ready for download, build and test on the CERN git server Contributors now needed as we are missing: Impedance model MAD-X interface Perhaps some form of beam-beam (Poisson solvers are there) Space charge (Poisson solvers are there) Should we open a HeadTail-developers-and-users (HEDEUS) group? Who would want to participate? 68/68
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