ode_states
Stable function · Variable classification
Tier: stable · Kind: function · Topic: Variable classification
| Julia | TypeScript | Python | Rust | Go |
|---|---|---|---|---|
ode_states | odeStates | ode_states | ode_states | ODEStates |
Julia
ode_states(model::Model)
ode_states(model::Model) -> Vector{String}
The unknowns appearing under D(·, t) on some equation LHS — the quantities
the solver integrates (esm-spec §6.3.1). Sorted lexicographically.
A derivative LHS may be wrapped: D(u), D(u[i]), and a faq whose
body is a D(…) all credit the base variable.
Example (inspect)
model = doc.models["Decay"]
@assert sort(collect(keys(model.variables))) == ["N", "half_life", "lambda"]
# The two declared kinds...
@assert unknowns(model) == ["N", "half_life"]
@assert parameters(model) == ["lambda"]
# ...and what each unknown is, derived from the equations.
@assert ode_states(model) == ["N"] # has a D(N)/dt equation
@assert observed_unknowns(model) == ["half_life"] # defined explicitly
@assert algebraic_unknowns(model) == String[] # none solved implicitly
defs = observed_definitions(model)
@assert to_ascii(defs["half_life"]) == "log(2) / lambda"
TypeScript
function odeStates(model: Model): string[]
Unknowns appearing under D(·, t) on some equation LHS — the integrated
states.
Example (inspect)
const doc = loadPath(fixture('decay.esm'))
assert.deepEqual(Object.keys(doc.models ?? {}), ['Decay'])
const model = doc.models!.Decay
assert.ok(!('ref' in model)) // narrows away an unresolved `{ ref }` mount
// The document declares only `unknown` and `parameter`; everything else is derived.
assert.deepEqual(Object.keys(model.variables), ['N', 'lambda', 'half_life'])
assert.deepEqual(unknowns(model), ['N', 'half_life'])
assert.deepEqual(parameters(model), ['lambda'])
// N has a time derivative; half_life is defined by an explicit equation.
assert.deepEqual(odeStates(model), ['N'])
assert.deepEqual(observedUnknowns(model), ['half_life'])
assert.deepEqual(algebraicUnknowns(model), [])
assert.equal(isOdeState(model, 'N'), true)
assert.deepEqual(constantParameters(model), ['lambda'])
assert.equal(systemKind(model), 'ode')
// Each observed's defining expression:
const defs = observedDefinitions(model)
assert.equal(toAscii(defs.get('half_life')!), 'log(2) / lambda')
Python
ode_states(model: Any) -> list[str]
Unknowns appearing under D(·, t) on some equation LHS (esm-spec
§6.3.1), sorted.
Example (inspect)
model = doc.models["Decay"]
for name, var in model.variables.items():
print(f"{name}: {var.type} [{var.units}]")
assert {n: v.type for n, v in model.variables.items()} == {
"N": "unknown",
"lambda": "parameter",
"half_life": "unknown",
}
# The file declares only "unknown" and "parameter"; the finer classes are derived.
assert earthsci_ast.ode_states(model) == ["N"]
assert earthsci_ast.observed_unknowns(model) == ["half_life"]
assert earthsci_ast.algebraic_unknowns(model) == []
assert earthsci_ast.constant_parameters(model) == ["lambda"]
assert earthsci_ast.unknowns(model) == ["N", "half_life"]
Rust
pub fn ode_states(model: &Model) -> Vec<String>
Unknowns appearing under D(·, t) on some equation LHS.
Names are sorted lexicographically, not in declaration order (API_SPEC.md §5.3).
Example (inspect)
let doc = load_path(fixture("decay.esm"))?;
let model = &doc.models.as_ref().unwrap()["Decay"];
// Declared variables, in document order, with their declared type.
for (name, var) in &model.variables {
println!("{name}: {:?} [{}]", var.var_type, var.units.as_deref().unwrap_or(""));
}
assert_eq!(model.variables.keys().collect::<Vec<_>>(), ["N", "lambda", "half_life"]);
assert_eq!(model.variables["lambda"].var_type, VariableType::Parameter);
// Both N and half_life are declared `unknown`; their equations decide
// the class. `D(N) = ...` makes N a state, `half_life = ...` makes
// half_life an observed.
assert_eq!(ode_states(model), ["N"]);
assert_eq!(observed_unknowns(model), ["half_life"]);
assert!(algebraic_unknowns(model).is_empty());
assert_eq!(constant_parameters(model), ["lambda"]);
assert!(is_ode_state(model, "N") && !is_ode_state(model, "half_life"));
assert_eq!(system_kind(model), SystemKind::Ode);
Go
func ODEStates(model *Model) []string
ODEStates returns the model’s unknowns that appear under a time derivative D(·, t) on some equation LHS, sorted lexicographically.
The derivative LHS may be WRAPPED and still credits its base variable: a bare D(u), an indexed D(u[i]), and a faq whose expr is a D(...) (the whole-array spelling of an elementwise derivative) all name u an ODE state.
Example (inspect)
doc, err := esm.LoadPath(fixture("decay.esm"))
if err != nil {
log.Fatal(err)
}
for _, name := range sortedKeys(doc.Models) {
model := doc.Models[name]
fmt.Println(name, sortedKeys(model.Variables))
fmt.Println("ODE states:", esm.ODEStates(&model))
fmt.Println("observed:", esm.ObservedUnknowns(&model))
fmt.Println("algebraic:", esm.AlgebraicUnknowns(&model))
fmt.Println("constant parameters:", esm.ConstantParameters(&model))
fmt.Println(esm.IsODEState(&model, "N"), esm.IsODEState(&model, "half_life"))
if def, ok := esm.ObservedDefinition(&model, "half_life"); ok {
fmt.Println("half_life =", esm.ToASCII(def))
}
}