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This is NOT calibrated Agilent firmware, a pressure-flow network, or a contact
solver. The host simulator owns joints, contacts, grasping, alignment and thermal
contact. Every numerical default below is an explicit educational assumption.
"""
from __future__ import annotations
import argparse
import csv
from dataclasses import asdict, dataclass
import json
import math
from pathlib import Path
R_J_MOL_K = 8.31446261815324
PARAMETER_PROVENANCE = "synthetic_assumption_not_manufacturer_calibration"
ACTION_COMPONENTS = {
"plug_power": "power_inlet", "power": "power_switch",
"connect_gas": "carrier_port", "door": "oven_door",
"set_temperature": "control_panel", "ignite": "fid_igniter",
"extinguish": "fid_body", "start": "start_key", "stop": "stop_key",
"aspirate": "sample_vial", "insert_syringe": "septum",
"depress_plunger": "plunger", "retract_syringe": "syringe",
}
def component_for_action(action, **kwargs):
"""Resolve the scene component, including the selected gas supply port."""
if action == "connect_gas":
gas = kwargs.get("gas")
if gas not in {"carrier", "hydrogen", "air", "makeup"}:
raise ValueError("Unknown gas port")
return f"{gas}_port"
if action not in ACTION_COMPONENTS:
raise ValueError(f"Unknown action: {action}")
return ACTION_COMPONENTS[action]
def finite(value, name, *, positive=False):
value = float(value)
if not math.isfinite(value) or (value <= 0 if positive else value < 0):
raise ValueError(f"{name} must be finite and {'positive' if positive else 'nonnegative'}")
return value
class ActionRejected(ValueError):
"""An embodied task precondition was not satisfied; state is unchanged."""
@dataclass(frozen=True)
class Species:
name: str
k_ref: float
delta_h_J_mol: float
response_C_kg: float
reference_temperature_K: float = 353.15
def __post_init__(self):
if not self.name:
raise ValueError("Species requires an identifier")
finite(self.k_ref, "k_ref")
finite(self.response_C_kg, "response_C_kg")
finite(self.reference_temperature_K, "reference_temperature_K", positive=True)
if not math.isfinite(self.delta_h_J_mol):
raise ValueError("delta_h_J_mol must be finite")
def retention_factor(self, temperature_K):
temperature_K = finite(temperature_K, "temperature_K", positive=True)
exponent = -self.delta_h_J_mol / R_J_MOL_K * (
1 / temperature_K - 1 / self.reference_temperature_K)
return self.k_ref * math.exp(max(-100, min(100, exponent)))
SYNTHETIC_SPECIES = (
Species("synthetic_A", 1.0, -30000, 1.0),
Species("synthetic_B", 2.5, -38000, 1.2),
Species("synthetic_C", 5.0, -45000, 0.8),
)
@dataclass(frozen=True)
class Method:
mode: str = "split"
split_ratio: float = 20.0
purge_time_s: float = 30.0
purge_flow_m3_s: float = 8.333333333333334e-7
# Both column and liner flow use this SAME assumed representative state.
# This omits real pressure/temperature conversion between inlet and column.
column_flow_m3_s: float = 1.6666666666666667e-8
septum_purge_flow_m3_s: float = 5e-8
# Septum purge is a distinct branch, not a perfectly mixed liner outlet.
# Zero means ideal separation of injected sample from the septum-purge path.
septum_sample_loss_fraction: float = 0.0
hydrogen_flow_m3_s: float = 5e-7
air_flow_m3_s: float = 5e-6
makeup_flow_m3_s: float = 4.166666666666667e-7
liner_volume_m3: float = 8e-7
column_length_m: float = 30.0
column_inner_diameter_m: float = 2.5e-4
column_film_thickness_m: float = 2.5e-7
longitudinal_B_m2_s: float = 3e-5
mass_transfer_C_s: float = 4e-4
oven_temperature_K: float = 353.15
inlet_temperature_K: float = 523.15
fid_temperature_K: float = 573.15
temperature_tolerance_K: float = 1.0
ready_dwell_s: float = 5.0
fid_ignition_minimum_K: float = 423.15
def __post_init__(self):
if self.mode not in {"split", "splitless"}:
raise ValueError("mode must be split or splitless")
for key, value in asdict(self).items():
if key != "mode":
finite(value, key)
for key in ("liner_volume_m3", "column_length_m", "column_inner_diameter_m",
"column_flow_m3_s", "oven_temperature_K", "inlet_temperature_K",
"fid_temperature_K", "fid_ignition_minimum_K"):
finite(getattr(self, key), key, positive=True)
if self.septum_sample_loss_fraction > 1:
raise ValueError("septum_sample_loss_fraction must be in [0, 1]")
if self.column_film_thickness_m >= self.column_inner_diameter_m / 2:
raise ValueError("Stationary film must leave an open mobile-phase core")
@dataclass
class ThermalZone:
temperature_K: float
setpoint_K: float
heat_capacity_J_K: float
conductance_W_K: float
maximum_power_W: float
control_gain_W_K: float
heater_power_W: float = 0.0
def advance(self, dt_s, ambient_K, enabled, open_door=False):
conductance = self.conductance_W_K * (12 if open_door else 1)
demand = (self.control_gain_W_K * (self.setpoint_K - self.temperature_K)
+ conductance * (self.setpoint_K - ambient_K))
self.heater_power_W = min(self.maximum_power_W, max(0, demand)) if enabled else 0.0
equilibrium = ambient_K + self.heater_power_W / conductance
decay = math.exp(-conductance * dt_s / self.heat_capacity_J_K)
self.temperature_K = equilibrium + (self.temperature_K - equilibrium) * decay
@dataclass
class Band:
species: str
injected_mass_kg: float
sigma_progress: float
progress: float = 0.0
released_fraction: float = 0.0
def advance(self, progress_delta):
self.progress += progress_delta
# Gaussian residence-time kernel conditioned on nonnegative residence.
sigma = self.sigma_progress
initial = .5 * math.erfc(1 / (sigma * math.sqrt(2)))
cdf = .5 * math.erfc((1 - self.progress) / (sigma * math.sqrt(2)))
released = min(1.0, max(self.released_fraction, (cdf - initial) / (1 - initial)))
mass = self.injected_mass_kg * (released - self.released_fraction)
self.released_fraction = released
return mass
class GC:
"""Agilent 7890B-inspired, single SSL/FID task state and process abstraction."""
def __init__(self, method=None, species=SYNTHETIC_SPECIES, vial_masses_kg=None):
self.method = method or Method()
species = tuple(species)
self.species = {item.name: item for item in species}
if not species or len(self.species) != len(species):
raise ValueError("Species identifiers must be nonempty and unique")
self.ambient_K = 298.15
self.zones = {
"oven": ThermalZone(self.ambient_K, self.method.oven_temperature_K, 6000, 3, 2000, 200),
"inlet": ThermalZone(self.ambient_K, self.method.inlet_temperature_K, 100, .4, 200, 8),
"fid": ThermalZone(self.ambient_K, self.method.fid_temperature_K, 150, .35, 200, 8),
}
self.power_connected = False
self.powered = False
self.gases = {gas: False for gas in ("carrier", "hydrogen", "air", "makeup")}
self.door_open = False
self.flame_lit = False
self.syringe_inserted = False
self.running = False
self.time_s = self.run_time_s = self.stable_time_s = 0.0
self.injection_time_s = None
self.fid_current_A = self.fid_integral_C = 0.0
self.vial = self._masses(vial_masses_kg if vial_masses_kg is not None else
{name: 1e-7 for name in self.species})
self.syringe = self._masses({})
self.liner = self._masses({})
self.ledger = {name: dict(injected_kg=0.0, split_vent_kg=0.0,
septum_purge_kg=0.0, column_loaded_kg=0.0,
eluted_kg=0.0, flame_off_eluted_kg=0.0)
for name in self.species}
self.bands = []
self.events = []
def _masses(self, mapping):
if set(mapping) - set(self.species):
raise ValueError("Unknown species in mass mapping")
return {name: finite(mapping.get(name, 0), name) for name in self.species}
def flows(self):
m = self.method
carrier = self.powered and self.gases["carrier"]
split_open = m.mode == "split" or self.injection_time_s is None or (
self.time_s - self.injection_time_s >= m.purge_time_s - 1e-10)
split = m.split_ratio * m.column_flow_m3_s if m.mode == "split" else m.purge_flow_m3_s
return {
"column": m.column_flow_m3_s if carrier else 0.0,
"split_vent": split if carrier and split_open else 0.0,
"septum_purge": m.septum_purge_flow_m3_s if carrier else 0.0,
"hydrogen": m.hydrogen_flow_m3_s if self.powered and self.gases["hydrogen"] else 0.0,
"air": m.air_flow_m3_s if self.powered and self.gases["air"] else 0.0,
"makeup": m.makeup_flow_m3_s if self.powered and self.gases["makeup"] else 0.0,
}
def _thermal_ready(self):
return all(abs(z.temperature_K - z.setpoint_K) <= self.method.temperature_tolerance_K
for z in self.zones.values())
def not_ready_reasons(self):
reasons = []
if not self.powered:
reasons.append("POWER_OFF")
if self.door_open:
reasons.append("OVEN_DOOR_OPEN")
flow = self.flows()
for gas, key in (("carrier", "column"), ("hydrogen", "hydrogen"), ("air", "air")):
if flow[key] <= 0:
reasons.append(f"NO_{gas.upper()}_FLOW")
if self.method.makeup_flow_m3_s > 0 and flow["makeup"] <= 0:
reasons.append("NO_MAKEUP_FLOW")
if not self._thermal_ready() or self.stable_time_s < self.method.ready_dwell_s:
reasons.append("TEMPERATURE_NOT_READY")
if not self.flame_lit:
reasons.append("FID_FLAME_OFF")
return reasons
def perform(self, action, **kwargs):
"""Apply a semantic event AFTER the host has verified its physical contact.
Insert/retract are symbolic acknowledgments, never collision detection.
All booleans are explicit; arguments with the wrong type are rejected.
"""
def boolean(key):
value = kwargs[key]
if type(value) is not bool:
raise ValueError(f"{key} must be bool")
return value
def fraction():
value = finite(kwargs.get("fraction", 1.0), "fraction", positive=True)
if value > 1:
raise ValueError("fraction must be <= 1")
return value
if action == "plug_power":
self.power_connected = boolean("connected")
if not self.power_connected:
self.powered = self.running = self.flame_lit = False
elif action == "power":
enabled = boolean("enabled")
if enabled and not self.power_connected:
raise ActionRejected("Connect power_inlet first")
self.powered = enabled
if not enabled:
self.running = self.flame_lit = False
elif action == "connect_gas":
gas = kwargs["gas"]
if gas not in self.gases:
raise ValueError("Unknown gas port")
self.gases[gas] = boolean("connected")
if gas in {"hydrogen", "air"} and not self.gases[gas]:
self.flame_lit = False
elif action == "door":
self.door_open = boolean("open")
elif action == "set_temperature":
if kwargs["zone"] not in self.zones:
raise ValueError("Unknown thermal zone")
temperature = finite(kwargs["temperature_K"], "temperature_K", positive=True)
if not 273.15 <= temperature <= 723.15:
raise ValueError("Outside synthetic model's supported thermal interval")
self.zones[kwargs["zone"]].setpoint_K = temperature
self.stable_time_s = 0.0
elif action == "ignite":
flow = self.flows()
if not self.powered or flow["hydrogen"] <= 0 or flow["air"] <= 0:
raise ActionRejected("FID ignition requires power, hydrogen and air")
if self.zones["fid"].temperature_K < self.method.fid_ignition_minimum_K:
raise ActionRejected("FID below synthetic ignition readiness temperature")
self.flame_lit = True
elif action == "extinguish":
self.flame_lit = False
elif action == "start":
if self.running:
raise ActionRejected("A run is already acquiring")
reasons = self.not_ready_reasons()
if reasons:
raise ActionRejected(", ".join(reasons))
self.running = True
self.run_time_s = self.fid_integral_C = 0.0
self.injection_time_s = None
elif action == "stop":
self.running = False
elif action == "aspirate":
f = fraction()
if self.syringe_inserted:
raise ActionRejected("Syringe must be at the vial, not inside the inlet")
if not any(self.vial.values()):
raise ActionRejected("Sample vial is empty")
for name in self.species:
amount = self.vial[name] * f
self.vial[name] -= amount
self.syringe[name] += amount
elif action == "insert_syringe":
if self.syringe_inserted:
raise ActionRejected("Syringe is already inserted")
self.syringe_inserted = True
elif action == "depress_plunger":
f = fraction()
reasons = self.not_ready_reasons()
if not self.running or not self.syringe_inserted or reasons:
raise ActionRejected("Injection requires acquiring, aligned syringe and ready state: "
+ ", ".join(reasons))
if not any(self.syringe.values()):
raise ActionRejected("Syringe is empty")
for name in self.species:
amount = self.syringe[name] * f
purge_loss = amount * self.method.septum_sample_loss_fraction
self.syringe[name] -= amount
self.liner[name] += amount - purge_loss
self.ledger[name]["injected_kg"] += amount
self.ledger[name]["septum_purge_kg"] += purge_loss
if self.injection_time_s is None:
self.injection_time_s = self.time_s
elif action == "retract_syringe":
self.syringe_inserted = False
else:
raise ValueError(f"Unknown action: {action}")
if not self.powered or self.door_open or not self._thermal_ready():
self.stable_time_s = 0.0
if not self.flame_lit:
self.fid_current_A = 0.0
self.events.append({"time_s": self.time_s, "action": action,
"component_id": component_for_action(action, **kwargs), "arguments": kwargs})
return self.observe()
def _advance(self, dt_s):
for name, zone in self.zones.items():
zone.advance(dt_s, self.ambient_K, self.powered and not (name == "oven" and self.door_open),
open_door=name == "oven" and self.door_open)
if self.powered and not self.door_open and self._thermal_ready():
self.stable_time_s += dt_s
else:
self.stable_time_s = 0.0
flow = self.flows()
if not self.powered or flow["hydrogen"] <= 0 or flow["air"] <= 0:
self.flame_lit = False
if self.zones["fid"].temperature_K < self.method.fid_ignition_minimum_K:
self.flame_lit = False
m = self.method
core_diameter = m.column_inner_diameter_m - 2 * m.column_film_thickness_m
velocity = flow["column"] / (math.pi * core_diameter ** 2 / 4)
charge = 0.0
survivors = []
for band in self.bands:
k = self.species[band.species].retention_factor(self.zones["oven"].temperature_K)
eluted = band.advance(dt_s * velocity / (m.column_length_m * (1 + k)))
self.ledger[band.species]["eluted_kg"] += eluted
if self.flame_lit:
charge += eluted * self.species[band.species].response_C_kg
else:
self.ledger[band.species]["flame_off_eluted_kg"] += eluted
if band.released_fraction < 1:
survivors.append(band)
self.bands = survivors
# A well-mixed vapor compartment transfers mass by competing outflows.
# Newly transferred bands enter at the END of this small numerical step.
total = flow["column"] + flow["split_vent"]
if total > 0:
fraction_out = -math.expm1(-total * dt_s / m.liner_volume_m3)
column_fraction = flow["column"] / total
H = m.longitudinal_B_m2_s / velocity + m.mass_transfer_C_s * velocity
sigma = math.sqrt(max(H / m.column_length_m, 1e-12))
for name, mass in self.liner.items():
out = mass * fraction_out
loaded = out * column_fraction
self.liner[name] -= out
self.ledger[name]["column_loaded_kg"] += loaded
self.ledger[name]["split_vent_kg"] += out - loaded
if loaded > 0:
self.bands.append(Band(name, loaded, sigma))
self.time_s += dt_s
if self.running:
self.run_time_s += dt_s
self.fid_integral_C += charge
return charge
def step(self, dt_s):
"""Advance time; returned current is the average over this whole step."""
dt_s = finite(dt_s, "dt_s", positive=True)
remaining = dt_s
charge = 0.0
while remaining > 1e-12:
h = min(.5, remaining)
# Align the numerical grid with the splitless purge transition.
if self.method.mode == "splitless" and self.injection_time_s is not None:
until_purge = self.injection_time_s + self.method.purge_time_s - self.time_s
if until_purge > 1e-10:
h = min(h, until_purge)
charge += self._advance(h)
remaining -= h
self.fid_current_A = charge / dt_s
return self.observe()
def mass_balance(self):
result = {}
for name, ledger in self.ledger.items():
remaining = sum(b.injected_mass_kg * (1 - b.released_fraction)
for b in self.bands if b.species == name)
accounted = (self.liner[name] + remaining + ledger["split_vent_kg"]
+ ledger["septum_purge_kg"] + ledger["eluted_kg"])
result[name] = dict(ledger, liner_kg=self.liner[name], column_remaining_kg=remaining,
residual_kg=ledger["injected_kg"] - accounted)
return result
def observe(self):
reasons = self.not_ready_reasons()
flow = self.flows()
return {
"parameter_provenance": PARAMETER_PROVENANCE, "time_s": self.time_s,
"run_time_s": self.run_time_s, "powered": self.powered,
"door_open": self.door_open, "syringe_inserted": self.syringe_inserted,
"flame_lit": self.flame_lit, "running": self.running,
"ready": not reasons, "not_ready_reasons": reasons,
"temperatures_K": {name: z.temperature_K for name, z in self.zones.items()},
"heater_power_W": {name: z.heater_power_W for name, z in self.zones.items()},
"flows_m3_s": flow,
"carrier_total_flow_m3_s": sum(flow[name] for name in ("column", "split_vent", "septum_purge")),
"fid_current_A": self.fid_current_A, "fid_integral_C": self.fid_integral_C,
"mass_balance_kg": self.mass_balance(),
"vial_masses_kg": dict(self.vial), "syringe_masses_kg": dict(self.syringe),
}
def synthetic_demo(output_dir):
"""Write explicitly synthetic chromatogram, provenance and action history."""
output_dir = Path(output_dir)
output_dir.mkdir(parents=True, exist_ok=True)
gc = GC()
gc.perform("plug_power", connected=True)
gc.perform("power", enabled=True)
for gas in gc.gases:
gc.perform("connect_gas", gas=gas, connected=True)
gc.step(1200)
gc.perform("ignite")
gc.perform("start")
gc.perform("aspirate", fraction=.01)
gc.perform("insert_syringe")
gc.perform("depress_plunger")
gc.perform("retract_syringe")
rows = []
for _ in range(1800):
state = gc.step(.5)
rows.append({"synthetic_run_time_s": state["run_time_s"],
"synthetic_fid_current_A": state["fid_current_A"],
"synthetic_fid_integral_C": state["fid_integral_C"],
"oven_temperature_K": state["temperatures_K"]["oven"]})
csv_path = output_dir / "synthetic_chromatogram.csv"
with csv_path.open("w", newline="", encoding="utf-8") as stream:
writer = csv.DictWriter(stream, fieldnames=rows[0])
writer.writeheader()
writer.writerows(rows)
metadata = {"parameter_provenance": PARAMETER_PROVENANCE, "method": asdict(gc.method),
"synthetic_species": [asdict(item) for item in gc.species.values()],
"final_state": gc.observe(), "events": gc.events,
"integration": "Each CSV current is an interval mean; integral = sum(current * 0.5 s)."}
(output_dir / "synthetic_run.json").write_text(json.dumps(metadata, ensure_ascii=False, indent=2), encoding="utf-8")
return csv_path
if __name__ == "__main__":
parser = argparse.ArgumentParser(description=__doc__)
parser.add_argument("--demo-dir", type=Path, required=True)
args = parser.parse_args()
print(synthetic_demo(args.demo_dir))
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