Command-Line Usage

This section details the command-line options for the executable components of the NSphere simulation and analysis suite. All executables should be run from the main project directory.

N-Spherical Shell Simulation (nsphere)

This is the core C program that runs the N-spherical shell simulation.

Usage:

./nsphere [options]

Options:

Basic Control & Execution

--help

Show the usage message and exit.

--log

Enable writing detailed logs to log/nsphere.log. Useful for debugging and tracking simulation progress in detail. [Default: Off]

--tag <string>

Append a custom string tag to the automatically generated suffix for most output filenames. Useful for distinguishing different runs with the same core parameters. [Default: None]

--save <subarg> [subarg...]

Controls which major data products are saved. Can specify multiple sub-arguments; if conflicting levels are given, the one enabling the most output takes effect. [Default: all]

raw-data

: Saves only basic particle output files (particles.dat, particlesfinal.dat).

psi-snaps

: In addition to raw-data, saves potential snapshots (Psi_methodA_t*.dat) and enables dynamic Psi calculation.

full-snaps

: In addition to psi-snaps output, saves full snapshot data (Rank_Mass_Rad_VRad_*.dat) and enables dynamic rank calculation.

debug-energy

: Enables energy tracking mode. In addition to full-snaps output, saves a detailed energy diagnostic file (debug_energy_compare.dat) for particle tracking.

all

: Saves all possible outputs, equivalent to enabling debug-energy.

--restart [force]

Enable restart mode. Looks for existing output data products (primarily all_particle_data<suffix>.dat and snapshot files) to determine where to resume processing. If complete data is found for the simulation phase, it may be skipped entirely.

With 'force': regenerate ALL snapshots even if they exist.

Incompatible with --readinit and --writeinit. [Default: Off]

--sim-restart [check]

Restart incomplete simulation from last checkpoint. Checks for incomplete all_particle_data files and continues from the last complete snapshot. Creates backups and truncates files to ensure consistency.

With 'check': only report status without restarting.

[Default: Off]

--restart-file <file>

Specify explicit file path for restart operations (debugging). Overrides automatic file detection. [Default: Off]

--sim-extend

Extend a completed simulation to new Ntimes/tfinal values. Copies source file and continues evolution. Maintains constant physical timestep dt and write frequency dtwrite.

Requires --extend-file to specify source file. [Default: Off]

--extend-file <file>

Source all_particle_data file to extend (used with --sim-extend). File will be copied to new name based on target parameters. Filename must follow NSphere format: prefix_N_Ntimes_tfinal.dat [Default: Off]

Simulation Setup

--nparticles <int>

Number of particles to simulate (after potential tidal stripping). [Default: 100000]

--ntimesteps <int>

Requested total number of simulation timesteps. Note: This value may be adjusted slightly upwards by the program to ensure alignment with the snapshot output schedule defined by --nout and --dtwrite. [Default: 10000]

--nout <int>

Number of desired output snapshot intervals (results in nout + 1 actual snapshots, including t=0). [Default: 100]

--dtwrite <int>

Number of simulation timesteps between each major data write/snapshot interval. [Default: 100]

--snapshot-buffer <int>

Number of snapshots to buffer in memory before writing to disk. Controls memory usage vs I/O frequency tradeoff. [Default: 100]

--tfinal <int>

Sets the total simulation duration as a multiple of the characteristic dynamical time (tdyn). Duration = <int> * tdyn. [Default: 5]

--lvals-target <float>

Select particles with angular momentum values closest to the specified target, rather than selecting the lowest L particles (default behavior). Useful for studying specific orbital families. [Default: Off - selects lowest L particles]

--ftidal <float>

Specifies the fraction of the outermost particles (by initial radius) to remove via tidal stripping before starting the simulation. Value must be between 0.0 (no stripping) and 1.0. The initial number of generated particles is increased to ensure --nparticles remain after stripping. [Default: 0.0]

Initial Conditions & I/O

--readinit <file>

Read initial particle conditions (positions, velocities, etc.) directly from the specified binary <file> located inside the init/ subdirectory, instead of generating them. The file must have been created previously using --writeinit. Incompatible with --restart and --writeinit. [Default: Off]

--writeinit <file>

Generate initial particle conditions and save them to the specified binary <file> inside the init/ subdirectory. The simulation then proceeds normally. Incompatible with --restart and --readinit. [Default: Off]

--master-seed <int>

Set master seed to derive all other seeds deterministically. When provided: IC seed = master_seed + 1, SIDM seed = master_seed + 2. Takes precedence over --load-seeds but not over direct seed options. [Default: time-based]

--load-seeds

Load IC and SIDM seeds from previous run's seed files. Looks for last_initial_seed_{suffix}.dat and last_sidm_seed_{suffix}.dat. Lowest priority - only used if seeds not set by other options. [Default: Off]

--init-cond-seed <int>

Set seed specifically for initial condition generation. Highest priority - overrides both --master-seed and --load-seeds. [Default: derived from master seed, loaded from file, or time-based]

Numerical Methods

--method <int>

Selects the integration algorithm. [Default: 1]

1

: Selects the adaptive Leapfrog integrator combined with adaptive Levi-Civita regularization for close encounters (Default).

2

: Selects the full-step adaptive Leapfrog integrator combined with Levi-Civita regularization.

3

: Selects the full-step adaptive Leapfrog integrator without regularization.

4

: Selects the 4th-order symplectic Yoshida integrator.

5

: Selects the 3rd-order Adams-Bashforth predictor-corrector method.

6

: Selects the standard Leapfrog integrator with the velocity half-step formulation (Kick-Drift-Kick).

7

: Selects the standard Leapfrog integrator with the position half-step formulation (Drift-Kick-Drift).

8

: Selects the classic 4th-order Runge-Kutta integrator.

9

: Selects the simple forward Euler integration method.

--methodtag

Include the integration method name string (e.g., "adp.leap.adp.levi") in the output filename suffix, in addition to the parameters. [Default: Off]

--sort <int>

Selects the particle sorting algorithm. [Default: 1]

1

: Parallel Quadsort (Default).

2

: Sequential Quadsort.

3

: Parallel Insertion Sort.

4

: Sequential Insertion Sort.

5

: Parallel Radix Sort - High performance for large arrays.

6

: Adaptive sort - Benchmarks algorithms every 1000 sorts and switches to fastest.

Halo Profile Configuration

--halo-mass <float>

Total halo mass in solar masses (\(M_{\odot}\)) for the selected profile. This sets the overall mass normalization of the initial conditions. [Default: NFW=1.15e9, Hernquist/Cored=1.0e12]

--profile <type>

Select the halo density profile type for initial conditions.

  • nfw: NFW profile with cutoff

  • cored: Cored Plummer-like profile

  • hernquist: Hernquist profile (supports constant-β and OM anisotropy)

[Default: nfw]

--scale-radius <float>

Scale radius in kpc for the selected profile. For NFW profiles this is the traditional scale radius rs; for cored profiles this is the core radius; for Hernquist profiles this is the scale radius a. [Default: NFW=1.18, Hernquist/Cored=23]

--cutoff-factor <float>

Sets the outer truncation radius as a multiple of the scale radius. The maximum radius \(r_{max} = f_{cutoff} \times r_{scale}\). [Default: 85.0]

--falloff-factor <float>

NFW-specific concentration parameter that controls the sharpness of the cutoff at large radii. Only used for NFW profiles. [Default: 19.0]

Anisotropy Models

--aniso-beta <float>

Constant anisotropy parameter \(\beta\) for Hernquist profile. Controls velocity anisotropy: \(\beta = 0\) (isotropic), \(\beta > 0\) (radially biased), \(\beta < 0\) (tangentially biased).

Valid range: \(-1 \leq \beta \leq 0.5\)

Only compatible with --profile hernquist. Cannot be used with --aniso-factor or --aniso-betascale. [Default: 0.0]

--aniso-factor <float>

Osipkov-Merritt anisotropy radius as multiple of scale radius. Sets \(r_a = f_{aniso} \times r_{scale}\).

Enables OM model with \(\beta(r) = r^2/(r^2 + r_a^2)\), which transitions from isotropic (\(\beta=0\)) at r=0 to radially biased (\(\beta \to 1\)) at large radii.

Compatible with all profiles (NFW, Cored, Hernquist). Cannot be used with --aniso-betascale. [Default: Off]

--aniso-betascale <float>

Alternative to --aniso-factor: specify \(\beta\) at the scale radius directly. Calculates \(r_a/r_s = \sqrt{1/\beta_s - 1}\) automatically.

Valid range: (0, 1)

Cannot be used with --aniso-factor. [Default: Off]

SIDM Physics

--sidm

Enable Self-Interacting Dark Matter (SIDM) scattering physics. Activates particle-particle scattering with cross-section controlled by --sidm-kappa. [Default: Off]

--sidm-seed <int>

Set seed specifically for SIDM scattering calculations. Highest priority - overrides both --master-seed and --load-seeds. [Default: derived from master seed, loaded from file, or time-based]

--sidm-mode <serial|parallel>

Select SIDM execution mode.

  • serial: Single-threaded SIDM calculations

  • parallel: Multi-threaded SIDM using OpenMP (requires OpenMP support)

[Default: parallel]

--sidm-kappa <float>

SIDM opacity parameter kappa in cm²/g. Controls the self-interaction cross-section strength. [Default: 50.0]

Last Parameters File (lastparams.dat)

Upon successful startup, nsphere records the key parameters for the current run into a suffixed file, typically named data/lastparams_<suffix>.dat (where <suffix> depends on the --tag, --methodtag, and core parameters like npts, Ntimes, tfinal).

Crucially, it also creates or updates a standard file named data/lastparams.dat which acts as a symbolic link (on Unix-like systems) or a direct copy (on Windows) of the most recently created suffixed parameter file.

The format of this file is a single line containing: <npts> <Ntimes> <tfinal_factor> [file_tag]

This allows the nsphere_plot script (and related wrappers) to easily find and use the parameters from the very last simulation run by default when no --suffix is specified.

Last Seed Files (last_initial_seed.dat, last_sidm_seed.dat)

In addition to recording simulation parameters, nsphere also saves the specific seeds used for its random number generators to ensure reproducibility of stochastic processes. These are stored in separate suffixed files, typically named:

  • data/last_initial_seed_<suffix>.dat

  • data/last_sidm_seed_<suffix>.dat

Where <suffix> is the same suffix used for the lastparams_<suffix>.dat file, determined by the run's command-line options and core parameters.

Similar to the parameters file, standard non-suffixed versions are also created as symbolic links (on Unix-like systems) or direct copies (on Windows):

  • data/last_initial_seed.dat

  • data/last_sidm_seed.dat

Each seed file contains a single line with one unsigned long integer representing the seed value used for that specific random number generator component. last_initial_seed stores the seed for initial condition generation, while last_sidm_seed stores the base seed for SIDM scattering calculations. For parallel SIDM processing, per-thread generators are seeded deterministically from this base value.

These seed files are essential for achieving bit-for-bit reproducibility of simulations. When nsphere is run with the same command-line parameters (ensuring the same <suffix>), the --load-seeds option instructs it to read the matching suffixed files to initialize its random number generators, enabling exact reproduction of previous runs. Direct seed specification via --master-seed, --init-cond-seed, or --sidm-seed takes precedence over loaded values. The seed files always reflect the seeds actually used for each run, regardless of their source.

Plotting & Animation (nsphere_plot)

This Python script generates various plots and animations from the data produced by the nsphere simulation.

Usage:

./nsphere_plot [options]

Options:

--suffix <SUFFIX>

Specify the data file suffix (e.g., _tag_40000_1001_5) used to find input data files generated by nsphere. If omitted, the script attempts to read data/lastparams.dat to determine the suffix automatically from the parameters of the last nsphere run. The lastparams.dat file is expected to contain a single line in the format: <npts> <Ntimes> <tfinal_factor> [file_tag].

--start <N>

Starting snapshot number for animations or time-series plots. [Default: 0]

--end <N>

Ending snapshot number for animations or time-series plots. A value of 0 means use all available snapshots up to the maximum found. [Default: 0]

--step <N>

Step size between snapshots used for animations. [Default: 1]

--fps <N>

Frames per second for output GIF animations. [Default: 10]

--log

Enable detailed logging to log/nsphere_plot.log. Captures INFO and DEBUG messages in addition to warnings and errors. [Default: Off]

--paced

Run in "paced mode", adding artificial delays between major processing sections (e.g., between loading data and generating plots) for visual effect or to observe progress more slowly. [Default: Off]

--help, -h

Show the help message and exit.

Visualization Control Flags:

These flags control which types of plots or animations are generated. If none of the --<type> flags (e.g., --animations) are specified, the script attempts to generate all available visualizations. If one or more --<type> flags are specified, only those types are generated.

Run Only Flags:

--phase-space

Generate only the initial phase space histogram and phase space animation.

--phase-comparison

Generate only the side-by-side initial vs final phase space plot and difference plot.

--profile-plots

Generate only the 1D profile plots (Density, Mass, Potential, f(E), etc.).

--trajectory-plots

Generate only particle trajectory plots and related diagnostics (Energy/Angular Momentum vs time).

--2d-histograms

Generate only the 2D phase space histograms (from particles*.dat and 2d_hist*.dat).

--convergence-tests

Generate only plots comparing results from different numerical parameters (Nintegration, Nspline).

--animations

Generate only the output GIF animations (Phase Space, Mass, Density, Psi).

--energy-plots

Generate only the Energy vs Time plots (including the debug comparison if data exists).

--distributions

Generate only the 1D comparison histograms of variable distributions (Radius, Velocity, etc.).

Skip Flags (used when running in default "all" mode):

--no-phase-space

Skip generating the initial phase space histogram and animation.

--no-phase-comparison

Skip generating the phase space comparison plots.

--no-profile-plots

Skip generating the 1D profile plots.

--no-trajectory-plots

Skip generating trajectory and related diagnostic plots.

--no-histograms

Skip generating all 2D histogram plots.

--no-convergence-tests

Skip generating the convergence test plots.

--no-animations

Skip generating all output GIF animations.

--no-energy-plots

Skip generating the Energy vs Time plots.

--no-distributions

Skip generating the 1D variable distribution comparison histograms.

Wrapper Scripts

These scripts provide convenient shortcuts to run specific parts of the main nsphere_plot script. They accept --suffix and --log arguments, which are passed through to nsphere_plot.

Generates 1D variable distribution comparison histograms (Initial vs Final). Calls nsphere_plot --distributions.

Usage:

./nsphere_distributions [--suffix SUFFIX] [--log]

Options:

--suffix <SUFFIX>

Data file suffix. Tries to read lastparams.dat if omitted.

--log

Enable detailed logging in nsphere_plot.py.

Generates 2D histogram plots (from particle files and nsphere.c output). Calls nsphere_plot --2d-histograms.

Usage:

./nsphere_2d_histograms [--suffix SUFFIX] [--log]

Options:

--suffix <SUFFIX>

Data file suffix. Tries to read lastparams.dat if omitted.

--log

Enable detailed logging in nsphere_plot.py.

Generates all standard animations (Phase Space, Mass, Density, Psi). Calls nsphere_plot --animations.

Usage:

./nsphere_animations [--suffix SUFFIX] [--start N] [--end N] [--step N] [--fps N] [--log]

Options:

--suffix <SUFFIX>

Data file suffix. Tries to read lastparams.dat if omitted.

--start <N>

Starting snapshot number. [Default: 0]

--end <N>

Ending snapshot number (0=auto). [Default: 0]

--step <N>

Snapshot step size. [Default: 1]

--fps <N>

Output animation frames per second. [Default: 10]

--log

Enable detailed logging in nsphere_plot.py.