import numpy as np from IPython.core.pylabtools import figsize from gridfire.solver import PointSolver, PointSolverContext from gridfire.policy import MainSequencePolicy 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) policy = MainSequencePolicy(C) construct = policy.construct() # 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(construct.engine) solver_ctx = PointSolverContext(construct.scratch_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)) 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 = 10 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(1.008e+15, color='grey', linestyle='dashed') ax_deps.axvline(1.008e+15, 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]*1.05, df.eps[stable_index:].iloc[0]*3, r"$\epsilon$", rotation=25, 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 # Use this plot to determine the index to test removal of # fig, ax = plt.subplots(1, 1, figsize=(10, 7)) # ax.plot(np.gradient(eps, t)) # ax.grid() # plt.show() idx = 156 t1 = t eps1 = eps t2 = np.delete(t, idx) eps2 = np.delete(eps, idx) f_deps_1 = interp1d(t1, np.gradient(eps1, t1)) f_deps_2 = interp1d(t2, np.gradient(eps2, t2)) int_deps_1 = trapezoid(f_deps_1(t), t) int_deps_2 = trapezoid(f_deps_2(t), t) rel_err = (int_deps_1 - int_deps_2) / int_deps_2 print(f"Rel Error: {rel_err:+0.3E}") window = 10 indices = np.arange(idx - window, idx + window + 1) indices_no_gap = np.delete(indices, window) clean_t = t[indices_no_gap] clean_eps = eps[indices_no_gap] spline = CubicSpline(clean_t, clean_eps) eps_predicted = spline(t[idx]) eps_actual = eps[idx] absolute_jump = np.abs(eps_actual - eps_predicted) relative_jump = absolute_jump / eps_actual print(f"Local Discontinuity at index {idx}: {relative_jump:.3%}") E_actual = trapezoid(eps, t) t_clean = np.delete(t, idx) eps_clean_points = np.delete(eps, idx) spline = CubicSpline(t_clean, eps_clean_points) eps_smooth = np.copy(eps) eps_smooth[idx] = spline(t[idx]) E_smooth = trapezoid(eps_smooth, t) total_rel_error = (E_actual - E_smooth) / E_smooth print(f"Total Relative Energy Error: {total_rel_error:+0.12E}") 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)