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Command line

Diokle is built on the Daedalus codebase. The daedalus command, the Python daedalus package, the Daedalus Modelica library and this repository keep their Daedalus names.

daedalus is one executable with a command per task. Every command takes the model sources (.mo files or directories, loaded recursively) and the model's full name:

daedalus <command> [sources...] -m <Model> [options]

Only the classes a model needs are parsed, so pointing at a large library costs little; parsed library files are cached on disk between runs (~/.cache/daedalus; DAEDALUS_CACHE moves it and DAEDALUS_NO_CACHE turns it off).

In plain terms: each command does one job on a model, such as checking it, simulating it or listing its unit problems. The table below lists them, and the options further down change how each one runs.

Commands

Command What it does
check Translate the model and print statistics: variables, aliases removed, states, algebraic loops, events, tape size.
flatten Print the flat model.
dump Print the equations in the order the solver evaluates them: the sorted, causalized system, with its BLT blocks and tearing (explained on Structure and state selection).
units Every variable's declared or inferred unit, and the unit issues. See Unit checking.
debug How a variable or equation is computed, why initialization fails, and which equations or connections are missing. See Equation and initialization debugger.
structure Variable roles, BLT blocks, incidence, state selection and why, and the state Jacobian's eigenvalues and stiffness. See Structure and state selection.
simulate Simulate and write a Dymola .mat file or a CSV file.
linearize State-space matrices A, B, C, D. See Linearization.
sweep Simulate once per parameter combination, in parallel, with a summary table. See Experiments and sweeps.
sensitivity, montecarlo, gsa, calibrate, optimize Parameter sensitivities, uncertainty bands, Sobol and Morris indices, fitting to measurements and design optimization. See Sensitivity and calibration.
doe Design of experiments with response-surface fits. See Sensitivity, DOE and calibration.
steady Steady state (der(x) = 0) with its stability, or a trim with --free and --target. See Scripts and steady states.
linear-analysis Poles, zeros, Bode, Nyquist, step responses, PID suggestions, model reduction and LQR. See Linear analysis.
fmu Export an FMI 2.0 or 3.0 FMU. See FMI and SSP.
import-fmu, import-ssp, export-ssp Wrap an FMU as a Modelica block, and import or export SSP systems. See FMI and SSP.
codegen-c, hil, autotune Embedded C code, closed-loop tests in software, emulators or on a board, and controller tuning. See Embedded C and processor in the loop.
export-casadi Write the index-reduced DAE as JSON for CasADi. See Optimal control.
lib, package, diff, params-from Install libraries, pack a model as a zip, compare classes, and turn parameter data into modifiers. See Libraries and packages.
mcp Serve the libraries to an AI assistant over the Model Context Protocol. See AI assistant and MCP.
serve Run the local engine for the browser workbench. Prints a one-time bearer token; requests must send Authorization: Bearer. See Workbench.
run Run a Dymola or OpenModelica script (.mos). See Scripts and steady states.
test-library Translate and simulate every model with an experiment annotation in a package, each in its own process with a time limit, and print a report.

The same compiler is also a Python package, import daedalus, for notebooks and scripts: see Python API.

Simulating

# Experiment annotation defaults
daedalus simulate library/Daedalus -m Daedalus.Examples.LandingGear.SinkRates -o sink.mat

# Override the interval, tolerance, method and parameters
daedalus simulate library/Daedalus -m Daedalus.Examples.TorqueConverter.StallTest \
    --stop 6 --tol 1e-8 --method dopri5 -p engine.J=0.3 -o stall.mat

# CSV of selected variables
daedalus simulate library/Daedalus -m Daedalus.Examples.QuarterCar.BumpComparison \
    -o bump.csv --vars clean.body.s,aerated.body.s
translated in 11.7 ms; simulated in 7.2 ms (158 steps, 10 rejected (0 Newton), 378 f-evals, 3 jacobians, 2 events)

.mat results use Dymola's dsres layout, so Dymola, OMEdit, DyMat, ModelicaRes and existing post-processing scripts read them.

Add --profile to see where the solver spends its steps and time, and --method auto to let it switch between Dopri5 and BDF; see Performance analyzer and Solvers.

Libraries

The bundled Daedalus library is a source directory like any other, and so is the Modelica Standard Library:

git clone -b v4.1.0 --depth 1 https://github.com/modelica/ModelicaStandardLibrary msl
daedalus simulate msl/Modelica msl/ModelicaServices msl/Complex.mo \
    -m Modelica.Mechanics.Rotational.Examples.CoupledClutches -o clutches.mat

-L DIR adds a library directory the same way, and DAEDALUS_LIB (or --lib) points at the bundled library.

Steady states and trim

daedalus steady crates/daedalus-core/tests/models/steady.mo -m Steady.Pendulum \
    --free tau --target angle=0.5
trim of Steady.Pendulum at t = 0 (2 Newton iterations, residual 0.000e0)

states:
  phi = 0.5
  w   = 0

free variables:
  tau = 3.7625316269657856

targets:
  angle = 0.5 (target 0.5)

eigenvalues of the state Jacobian (stable):
  -2.343750e-1 - 3.272067e0i
  -2.343750e-1 + 3.272067e0i

The torque that holds the pendulum at 0.5 rad is m·g·L·sin(0.5) = 3.76 N·m, and the equilibrium is stable. Without --free and --target, steady finds the equilibrium for the inputs as they are. See Scripts and steady states.

Scripts

daedalus run regression.mos --msl ~/ModelicaStandardLibrary

runs a Dymola or OpenModelica .mos script: loading files and libraries, translating, simulateModel and simulate, parameter sweeps with simulateExtendedModel, linearizeModel, steadyState and trim, with loops and conditionals. See Scripts and steady states.

Testing a whole library

daedalus test-library library/Daedalus -m Daedalus

Each model runs in its own process, in parallel (--jobs N, default: all cores), with a time limit (--timeout S, default 60). CI runs this on every pull request, and a nightly job runs the MSL examples against their reference results (see Modelica Standard Library).

Options

Option Meaning
-m, --model NAME Model to translate (full dotted name)
-L, --lib DIR Additional library directory (repeatable)
--start T, --stop T Simulation interval
--interval DT Output interval
-n, --intervals N Number of output intervals (default 500)
--tol TOL Relative tolerance (default 1e-6)
--method M bdf, radau, esdirk, auto, dopri5, rk4 or euler; see Solvers
--step H Fixed step size
--store-events E Rows written at events: all, none or a number
-p, --param NAME=VALUE Parameter override (repeatable)
-o, --output FILE Result file: .mat (Dymola format) or .csv
--vars a,b,c Variables written to CSV, or printed
--no-index-reduction Disable Pantelides index reduction
--no-tearing Disable tearing
--no-jit Interpret the model instead of running it as compiled machine code (same results, slower; also DAEDALUS_JIT=0)
--jobs N Parallel processes for test-library
--timeout S Per-model time limit for test-library
--at T linearize: simulate to time T first
--format F linearize: text, json or mo
--jacobian J linearize: exact or fd (central differences); simulate: the implicit solvers' state Jacobian, exact (default) or fd
--state NAME=TIER stateSelect override (always, prefer, default, avoid, never); NAME may be a glob
--profile [FILE.json] simulate: record a performance profile; see Performance analyzer
--events simulate: print the event log
-s NAME=VALUES, --grouped, --stats S sweep: swept parameter, grouped instead of grid, summary columns
--fmi-version 3 fmu: write an FMI 3.0 FMU
--allow-fmu-code Load an FMU's native binary. Refused otherwise, unless this process just wrote that FMU
--fmi-type me|cs, --comm-step H Simulating an FMU or SSP: interface and communication step
--units check: also print unit issues as warnings
--var NAME, --equation N, --init debug: what to explain
--inputs, --outputs, --reduce N, --lqr q,r, --bode, --step linear-analysis
--freq LO,HI, --tfinal T linear-analysis: frequency range in rad/s for Bode and Nyquist, and the step response horizon
--adjoint, --objective Q, --grad-method M sensitivity: adjoint gradient of one quantity
--fmi-lib FILE fmu: the FMI runtime library to bundle
--locals import-fmu: also expose the FMU's local variables
--summary FILE sweep: write the summary table as CSV
--at-time T steady: start from the state at time T
--free a,b, --target y=v steady: trim these inputs or parameters to hit these targets
--msl DIR run: an extra library root for loadModel

Performance

Models run as machine code: the hot tapes (derivatives, outputs, zero crossings and algebraic loops) are compiled with Cranelift when the simulation starts, which takes a few milliseconds for most models. The results are bit for bit the same as the interpreter's (--no-jit); across the 555 MSL, Daedalus and MultiBodyVehicle examples the total run time drops by about 35%, and by half or more on multibody models (SevenPostRig 2.5 s to 1.2 s, EngineV6 5.7 s to 2.3 s).

The benchmark is tools/gen_chain.py: a chain of N masses and spring-dampers driven by a sine force, a stiff system with 2N states, simulated for 1 s with BDF at tolerance 1e-6.

N Unknowns after alias elimination Translate Simulate
1,000 13,000 0.25 s 0.42 s
10,000 130,000 2.5 s 3.9 s
python3 tools/gen_chain.py 2000 > chain.mo
daedalus simulate library/Daedalus chain.mo -m Chain --stop 0.2 -o chain.mat

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