import numpy as np from IPython.core.pylabtools import figsize from gridfire.solver import PointSolver, PointSolverContext from gridfire.policy import MainSequencePolicy from gridfire.engine import GraphEngine, MultiscalePartitioningEngineView from scipy.signal import find_peaks from gridfire.config import GridFireConfig from fourdst.composition import Composition from scipy.integrate import trapezoid from fourdst.composition import CanonicalComposition from fourdst.atomic import Species from gridfire.type import NetIn import matplotlib.pyplot as plt ## Note that my default style uses tex rendering. If you do not have tex installed ## simply comment out this line plt.style.use("../utils/pub.mplstyle") from scipy.interpolate import interp1d, CubicSpline from enum import Enum import sys import os sys.path.append(os.path.abspath(os.path.join(os.path.dirname(__file__), "../utils"))) from logger import StepLogger class ShowSave(Enum): SHOW="SHOW" SAVE="SAVE" def __str__(self): return self.value def rescale_composition(comp_ref : Composition, ZZs : float, Y_primordial : float = 0.248) -> Composition: CC : CanonicalComposition = comp_ref.getCanonicalComposition() dY_dZ = (CC.Y - Y_primordial) / CC.Z Z_new = CC.Z * (10**ZZs) Y_bulk_new = Y_primordial + (dY_dZ * Z_new) X_new = 1.0 - Z_new - Y_bulk_new if X_new < 0: raise ValueError(f"ZZs={ZZs} yields unphysical composition (X < 0)") ratio_H = X_new / CC.X if CC.X > 0 else 0 ratio_He = Y_bulk_new / CC.Y if CC.Y > 0 else 0 ratio_Z = Z_new / CC.Z if CC.Z > 0 else 0 Y_new_list = [] newComp : Composition = Composition() s: Species for s in comp_ref.getRegisteredSpecies(): Xi_ref = comp_ref.getMassFraction(s) if s.el() == "H": Xi_new = Xi_ref * ratio_H elif s.el() == "He": Xi_new = Xi_ref * ratio_He else: Xi_new = Xi_ref * ratio_Z Y = Xi_new / s.mass() newComp.registerSpecies(s) newComp.setMolarAbundance(s, Y) return newComp def init_composition(ZZs : float = 0) -> Composition: Y_solar = [7.0262E-01, 9.7479E-06, 6.8955E-02, 2.5000E-04, 7.8554E-05, 6.0144E-04, 8.1031E-05, 2.1513E-05] S = ["H-1", "He-3", "He-4", "C-12", "N-14", "O-16", "Ne-20", "Mg-24"] return rescale_composition(Composition(S, Y_solar), ZZs) def init_netIn(temp: float, rho: float, time: float, comp: Composition) -> NetIn: n : NetIn = NetIn() n.temperature = temp n.density = rho n.tMax = time n.dt0 = 1e-12 n.composition = comp return n def years_to_seconds(years: float) -> float: return years * 3.1536e7 def main(save_show): C = init_composition() netIn = init_netIn(1.5e7, 160, years_to_seconds(10e9), C) enigne_graph = GraphEngine(C, 5) graph_blob = enigne_graph.constructStateBlob() qse_engine = MultiscalePartitioningEngineView(enigne_graph) qse_blob = qse_engine.constructStateBlob(graph_blob) # 3e-8 and 1e-24 are the default tolerances we adopt as testing indicates it works well for # main sequence evolution. We encorage researchers to trial various relative and # absolute thresholds # config = GridFireConfig() # config.solver.pointSolver.trigger.boundaryFlux.relativeThreshold = 3e-8 # config.solver.pointSolver.trigger.boundaryFlux.absoluteThreshold = 1e-24 # solver = PointSolver(construct.engine, config) solver = PointSolver(qse_engine) solver_ctx = PointSolverContext(qse_blob) stepLogger = StepLogger() solver_ctx.callback = lambda ctx: stepLogger.log_step(ctx); solver.evaluate(solver_ctx, netIn, False, False) df = stepLogger.df fig, axs = plt.subplots(2, 1, figsize=(17, 10), gridspec_kw={'hspace': 0, 'height_ratios': [1, 1]}, sharex=True) t = np.linspace(df.t.min(), df.t.max(), 1000) # Note we are not plotting Ne-20 as its molar abundance is so close to N-14 that it makes it hard to # distinguish that species PlottingSpecies = ["H-1", "He-3", "He-4", "C-12", "N-14", "O-16", "Mg-24"] stable_index = 25 for sp in PlottingSpecies: x = df.t[stable_index:] y = df[sp][stable_index:] axs[0].loglog(x, y) axs[1].semilogx(x, np.gradient(y, x)) axs[0].text(x.iloc[0], y.iloc[0]*1.1, sp, fontsize=12) axs[0].set_ylabel("$Y$ [mol/g]", fontsize=23) axs[1].set_ylabel(r"$\frac{dY}{dt}$ [mol/g/s]", fontsize=23) axs[1].set_xlabel("Time [s]") ax_eps = axs[0].twinx() ax_deps = axs[1].twinx() ax_eps.set_ylabel(r"$\epsilon$ [erg/g/s]", rotation=270, labelpad=25, fontsize=23) ax_deps.set_ylabel(r"$\frac{d\epsilon}{dt}$ [erg/g/s$^2$]", rotation=270, labelpad=25, fontsize=23) ax_eps.axvline(2.276e17, color='grey', linestyle='dashed') ax_deps.axvline(2.276e17, color='grey', linestyle='dashed') ax_eps.loglog(df.t[stable_index:], df.eps[stable_index:], color='red', linestyle='dashed') ax_eps.text(df.t[stable_index:].iloc[0], df.eps[stable_index:].iloc[0], r"$\epsilon$", fontsize=20) ax_deps.semilogx(df.t[stable_index:], np.gradient(df.eps[stable_index:], df.t[stable_index:]), color='red', linestyle='dashed') if save_show == ShowSave.SHOW: plt.show() else: plt.savefig("smoothness_plot.pdf") plt.close() t = df.t.values eps = df.eps.values t1 = np.delete(t, [237]) eps1 = np.delete(eps, [237]) f_discon = interp1d(t, eps, bounds_error=False, fill_value='extrapolate') f_smooth = interp1d(t1, eps1, bounds_error=False, fill_value='extrapolate') ti = np.logspace(np.log10(t.min()), np.log10(t.max()), 1000) cum_discon = trapezoid(f_discon(ti), ti) cum_smooth = trapezoid(f_smooth(ti), ti) rel_err = (cum_discon - cum_smooth) / cum_smooth print(f"Relative Cummulative Energy Error: {rel_err:0.4E} ({cum_discon:0.4E} [erg/g] vs {cum_smooth:0.4E} [erg/g])") if __name__ == "__main__": import argparse app = argparse.ArgumentParser(prog="Derivative Smoothness", description="Generate of view plots of derivative smoothness") app.add_argument("-s", type=ShowSave, default=ShowSave.SHOW, choices=list(ShowSave), help="Whether to show or save the generated plot") args = app.parse_args() main(args.s)