def obyo(y, tag, nusdx, nus, mdbCO, mdbH2O, cdbH2H2, cdbH2He): #CO SijM_CO, ngammaLM_CO, nsigmaDl_CO = exomol(mdbCO, Tarr, Parr, R_CO, molmassCO) xsm_CO = xsmatrix(cnu_CO, indexnu_CO, R_CO, pmarray_CO, nsigmaDl_CO, ngammaLM_CO, SijM_CO, nus, dgm_ngammaL_CO) dtaumCO = dtauM(dParr, jnp.abs(xsm_CO), MMR_CO * ONEARR, molmassCO, g) #H2O SijM_H2O, ngammaLM_H2O, nsigmaDl_H2O = exomol(mdbH2O, Tarr, Parr, R_H2O, molmassH2O) xsm_H2O = xsmatrix(cnu_H2O, indexnu_H2O, R_H2O, pmarray_H2O, nsigmaDl_H2O, ngammaLM_H2O, SijM_H2O, nus, dgm_ngammaL_H2O) dtaumH2O = dtauM(dParr, jnp.abs(xsm_H2O), MMR_H2O * ONEARR, molmassH2O, g) #CIA dtaucH2H2=dtauCIA(nus,Tarr,Parr,dParr,vmrH2,vmrH2,\ mmw,g,cdbH2H2.nucia,cdbH2H2.tcia,cdbH2H2.logac) dtaucH2He=dtauCIA(nus,Tarr,Parr,dParr,vmrH2,vmrHe,\ mmw,g,cdbH2He.nucia,cdbH2He.tcia,cdbH2He.logac) dtau = dtaumCO + dtaumH2O + dtaucH2H2 + dtaucH2He sourcef = planck.piBarr(Tarr, nus) Ftoa = Fref / Rp**2 F0 = rtrun(dtau, sourcef) / baseline / Ftoa Frot = response.rigidrot(nus, F0, vsini, u1, u2) mu = response.ipgauss_sampling(nusdx, nus, Frot, beta, RV) errall = jnp.sqrt(e1**2 + sigma**2) numpyro.sample(tag, dist.Normal(mu, errall), obs=y)
def model_c(nu1, y1, e1): Rp = sample('Rp', dist.Uniform(0.5, 1.5)) Mp = sample('Mp', dist.Normal(33.5, 0.3)) RV = sample('RV', dist.Uniform(26.0, 30.0)) MMR_CO = sample('MMR_CO', dist.Uniform(0.0, maxMMR_CO)) MMR_H2O = sample('MMR_H2O', dist.Uniform(0.0, maxMMR_H2O)) T0 = sample('T0', dist.Uniform(1000.0, 1700.0)) alpha = sample('alpha', dist.Uniform(0.05, 0.15)) vsini = sample('vsini', dist.Uniform(10.0, 20.0)) # Kipping Limb Darkening Prior q1 = sample('q1', dist.Uniform(0.0, 1.0)) q2 = sample('q2', dist.Uniform(0.0, 1.0)) u1, u2 = ld_kipping(q1, q2) #GP logtau = sample('logtau', dist.Uniform(-1.5, 0.5)) #tau=1 <=> 5A tau = 10**(logtau) loga = sample('loga', dist.Uniform(-4.0, -2.0)) a = 10**(loga) #gravity g = getjov_gravity(Rp, Mp) #T-P model// Tarr = T0 * (Parr / Pref)**alpha #CO SijM_CO, gammaLM_CO, sigmaDM_CO = exomol(mdbCO, Tarr, Parr, molmassCO) xsm_CO = xsmatrix(numatrix_CO, sigmaDM_CO, gammaLM_CO, SijM_CO) dtaumCO = dtauM(dParr, xsm_CO, MMR_CO * ONEARR, molmassCO, g) #H2O SijM_H2O, gammaLM_H2O, sigmaDM_H2O = exomol(mdbH2O, Tarr, Parr, molmassH2O) xsm_H2O = xsmatrix(numatrix_H2O, sigmaDM_H2O, gammaLM_H2O, SijM_H2O) dtaumH2O = dtauM(dParr, xsm_H2O, MMR_H2O * ONEARR, molmassH2O, g) #CIA dtaucH2H2=dtauCIA(nus,Tarr,Parr,dParr,vmrH2,vmrH2,\ mmw,g,cdbH2H2.nucia,cdbH2H2.tcia,cdbH2H2.logac) dtaucH2He=dtauCIA(nus,Tarr,Parr,dParr,vmrH2,vmrHe,\ mmw,g,cdbH2He.nucia,cdbH2He.tcia,cdbH2He.logac) dtau = dtaumCO + dtaumH2O + dtaucH2H2 + dtaucH2He sourcef = planck.piBarr(Tarr, nus) Ftoa = Fref / Rp**2 F0 = rtrun(dtau, sourcef) / baseline / Ftoa Frot = response.rigidrot(nus, F0, vsini, u1, u2) mu = response.ipgauss_sampling(nu1, nus, Frot, beta, RV) cov = gpkernel_RBF(nu1, tau, a, e1) sample("y1", dist.MultivariateNormal(loc=mu, covariance_matrix=cov), obs=y1)
def obyo(y, tag, nusd, nus, numatrix_CO, numatrix_H2O, mdbCO, mdbH2O, cdbH2H2, cdbH2He): #CO SijM_CO=jit(vmap(SijT,(0,None,None,None,0)))\ (Tarr,mdbCO.logsij0,mdbCO.dev_nu_lines,mdbCO.elower,qt_CO) gammaLMP_CO = jit(vmap(gamma_hitran,(0,0,0,None,None,None)))\ (Parr*0.99,Tarr,Parr*0.01,mdbCO.n_air,mdbCO.gamma_air,mdbCO.gamma_self) gammaLMN_CO = gamma_natural(mdbCO.A) gammaLM_CO = gammaLMP_CO + gammaLMN_CO[None, :] sigmaDM_CO=jit(vmap(doppler_sigma,(None,0,None)))\ (mdbCO.dev_nu_lines,Tarr,molmassCO) xsm_CO = xsmatrix(numatrix_CO, sigmaDM_CO, gammaLM_CO, SijM_CO) dtaumCO = dtauM(dParr, xsm_CO, MMR_CO * ONEARR, molmassCO, g) #H2O SijM_H2O=jit(vmap(SijT,(0,None,None,None,0)))\ (Tarr,mdbH2O.logsij0,mdbH2O.dev_nu_lines,mdbH2O.elower,qt_H2O) gammaLMP_H2O = jit(vmap(gamma_exomol,(0,0,None,None)))\ (Parr,Tarr,mdbH2O.n_Texp,mdbH2O.alpha_ref) gammaLMN_H2O = gamma_natural(mdbH2O.A) gammaLM_H2O = gammaLMP_H2O + gammaLMN_H2O[None, :] sigmaDM_H2O=jit(vmap(doppler_sigma,(None,0,None)))\ (mdbH2O.dev_nu_lines,Tarr,molmassH2O) xsm_H2O = xsmatrix(numatrix_H2O, sigmaDM_H2O, gammaLM_H2O, SijM_H2O) dtaumH2O = dtauM(dParr, xsm_H2O, MMR_H2O * ONEARR, molmassH2O, g) #CIA dtaucH2H2=dtauCIA(nus,Tarr,Parr,dParr,vmrH2,vmrH2,\ mmw,g,cdbH2H2.nucia,cdbH2H2.tcia,cdbH2H2.logac) dtaucH2He=dtauCIA(nus,Tarr,Parr,dParr,vmrH2,vmrHe,\ mmw,g,cdbH2He.nucia,cdbH2He.tcia,cdbH2He.logac) dtau = dtaumCO + dtaumH2O + dtaucH2H2 + dtaucH2He sourcef = planck.piBarr(Tarr, nus) Ftoa = Fref / (Rp**2) F0 = rtrun(dtau, sourcef) / baseline / Ftoa Frot = response.rigidrot(nus, F0, vsini, u1, u2) mu = response.ipgauss_sampling(nusd, nus, Frot, beta, RV) #errall=jnp.sqrt(e1**2+sigma**2) errall = e1 cov = modelcov(nusd, tau, a, errall) #cov = modelcov(nusd,tau,a,e1) #numpyro.sample(tag, dist.Normal(mu, e1), obs=y) numpyro.sample(tag, dist.MultivariateNormal(loc=mu, covariance_matrix=cov), obs=y)
def obyo(y, tag, nusd, nus, numatrix_CO, mdbCO, cdbH2H2): # CO SijM_CO = jit(vmap(SijT, (0, None, None, None, 0)))(Tarr, mdbCO.logsij0, mdbCO.dev_nu_lines, mdbCO.elower, qt_CO) gammaLMP_CO = jit(vmap(gamma_exomol, (0, 0, None, None)))(Parr, Tarr, mdbCO.n_Texp, mdbCO.alpha_ref) gammaLMN_CO = gamma_natural(mdbCO.A) gammaLM_CO = gammaLMP_CO + gammaLMN_CO[None, :] sigmaDM_CO = jit(vmap(doppler_sigma, (None, 0, None)))(mdbCO.dev_nu_lines, Tarr, molmassCO) xsm_CO = xsmatrix(numatrix_CO, sigmaDM_CO, gammaLM_CO, SijM_CO) dtaumCO = dtauM(dParr, xsm_CO, MMR_CO * ONEARR, molmassCO, g) # CIA dtaucH2H2 = dtauCIA(nus, Tarr, Parr, dParr, vmrH2, vmrH2, mmw, g, cdbH2H2.nucia, cdbH2H2.tcia, cdbH2H2.logac) dtau = dtaumCO + dtaucH2H2 sourcef = planck.piBarr(Tarr, nus) F0 = rtrun(dtau, sourcef) / norm Frot = response.rigidrot(nus, F0, vsini, u1, u2) mu = response.ipgauss_sampling(nusd, nus, Frot, beta, RV) numpyro.sample(tag, dist.Normal(mu, sigmain), obs=y)
def obyo(y, tag, nusd, nus, numatrix_CO, numatrix_H2O, mdbCO, mdbH2O, cdbH2H2, cdbH2He): #CO SijM_CO=jit(vmap(SijT,(0,None,None,None,0)))\ (Tarr,mdbCO.logsij0,mdbCO.dev_nu_lines,mdbCO.elower,qt_CO) gammaLMP_CO = jit(vmap(gamma_exomol,(0,0,None,None)))\ (Parr,Tarr,mdbCO.n_Texp,mdbCO.alpha_ref) gammaLMN_CO = gamma_natural(mdbCO.A) gammaLM_CO = gammaLMP_CO + gammaLMN_CO[None, :] sigmaDM_CO=jit(vmap(doppler_sigma,(None,0,None)))\ (mdbCO.dev_nu_lines,Tarr,molmassCO) xsm_CO = xsmatrix(numatrix_CO, sigmaDM_CO, gammaLM_CO, SijM_CO) dtaumCO = dtauM(dParr, xsm_CO, MMR_CO * ONEARR, molmassCO, g) #H2O SijM_H2O=jit(vmap(SijT,(0,None,None,None,0)))\ (Tarr,mdbH2O.logsij0,mdbH2O.dev_nu_lines,mdbH2O.elower,qt_H2O) gammaLMP_H2O = jit(vmap(gamma_exomol,(0,0,None,None)))\ (Parr,Tarr,mdbH2O.n_Texp,mdbH2O.alpha_ref) gammaLMN_H2O = gamma_natural(mdbH2O.A) gammaLM_H2O = gammaLMP_H2O + gammaLMN_H2O[None, :] sigmaDM_H2O=jit(vmap(doppler_sigma,(None,0,None)))\ (mdbH2O.dev_nu_lines,Tarr,molmassH2O) xsm_H2O = xsmatrix(numatrix_H2O, sigmaDM_H2O, gammaLM_H2O, SijM_H2O) dtaumH2O = dtauM(dParr, xsm_H2O, MMR_H2O * ONEARR, molmassH2O, g) #CIA dtaucH2H2=dtauCIA(nus,Tarr,Parr,dParr,vmrH2,vmrH2,\ mmw,g,cdbH2H2.nucia,cdbH2H2.tcia,cdbH2H2.logac) dtaucH2He=dtauCIA(nus,Tarr,Parr,dParr,vmrH2,vmrHe,\ mmw,g,cdbH2He.nucia,cdbH2He.tcia,cdbH2He.logac) dtau = dtaumCO + dtaumH2O + dtaucH2H2 + dtaucH2He sourcef = planck.piBarr(Tarr, nus) Ftoa = Fref / Rp**2 F0 = rtrun(dtau, sourcef) / baseline / Ftoa Frot = response.rigidrot(nus, F0, vsini, u1, u2) mu = response.ipgauss_sampling(nusd, nus, Frot, beta, RV) np.savez("dtau_lpf.npz", [nus, dtaumCO, dtaumH2O]) return mu
def obyo(y, tag, nusdx, nus, mdbCO, mdbH2O, cdbH2H2, cdbH2He): #CO SijM_CO, ngammaLM_CO, nsigmaDl_CO = exomol(mdbCO, Tarr, Parr, R_CO, molmassCO) xsm_CO = xsmatrix(cnu_CO, indexnu_CO, R_CO, pmarray_CO, nsigmaDl_CO, ngammaLM_CO, SijM_CO, nus, dgm_ngammaL_CO) dtaumCO = dtauM(dParr, jnp.abs(xsm_CO), MMR_CO * ONEARR, molmassCO, g) #H2O SijM_H2O, ngammaLM_H2O, nsigmaDl_H2O = exomol(mdbH2O, Tarr, Parr, R_H2O, molmassH2O) xsm_H2O = xsmatrix(cnu_H2O, indexnu_H2O, R_H2O, pmarray_H2O, nsigmaDl_H2O, ngammaLM_H2O, SijM_H2O, nus, dgm_ngammaL_H2O) dtaumH2O = dtauM(dParr, jnp.abs(xsm_H2O), MMR_H2O * ONEARR, molmassH2O, g) #CIA dtaucH2H2=dtauCIA(nus,Tarr,Parr,dParr,vmrH2,vmrH2,\ mmw,g,cdbH2H2.nucia,cdbH2H2.tcia,cdbH2H2.logac) dtaucH2He=dtauCIA(nus,Tarr,Parr,dParr,vmrH2,vmrHe,\ mmw,g,cdbH2He.nucia,cdbH2He.tcia,cdbH2He.logac) dtau = dtaumCO + dtaumH2O + dtaucH2H2 + dtaucH2He sourcef = planck.piBarr(Tarr, nus) Ftoa = Fref / Rp**2 F0 = rtrun(dtau, sourcef) / baseline / Ftoa Frot = response.rigidrot(nus, F0, vsini, u1, u2) mu = response.ipgauss_sampling(nusdx, nus, Frot, beta, RV) if FP64 == True: np.savez("dtau_modit" + str(N) + "_64.npz", [nus, dtaumCO, dtaumH2O]) else: np.savez("dtau_modit" + str(N) + ".npz", [nus, dtaumCO, dtaumH2O]) return mu
def xsmatrix(self, Tarr, Parr): """cross section matrix. Args: Tarr: temperature layer (K) Parr: pressure layer (bar) Returns: cross section (cm2) """ mdb = self.mdb if self.database == 'ExoMol': qt = vmap(mdb.qr_interp)(Tarr) gammaLMP = jit(vmap(gamma_exomol, (0, 0, None, None)))(Parr, Tarr, mdb.n_Texp, mdb.alpha_ref) gammaLMN = gamma_natural(mdb.A) gammaLM = gammaLMP + gammaLMN[None, :] self.molmass = mdb.molmass SijM = jit(vmap(SijT, (0, None, None, None, 0)))(Tarr, mdb.logsij0, mdb.nu_lines, mdb.elower, qt) elif self.database == 'HITRAN' or self.database == 'HITEMP': qt = mdb.Qr_layer(Tarr) gammaLM = jit(vmap(gamma_hitran, (0, 0, 0, None, None, None)))(Parr, Tarr, Parr, mdb.n_air, mdb.gamma_air, mdb.gamma_self)\ + gamma_natural(mdb.A) self.molmass = molinfo.molmass(self.molecules) SijM = jit(vmap(SijT, (0, None, None, None, 0)))(Tarr, mdb.logsij0, mdb.nu_lines, mdb.elower, qt) print('# of lines', len(mdb.nu_lines)) memory_size = 15.0 d = int(memory_size / (len(mdb.nu_lines) * 4 / 1024. / 1024.)) + 1 d2 = 100 Nlayer, Nline = np.shape(SijM) if self.xsmode == 'auto': xsmode = self.select_xsmode(Nline) else: xsmode = self.xsmode print('xsmode=', xsmode) if xsmode == 'lpf' or xsmode == 'LPF': sigmaDM = jit(vmap(doppler_sigma, (None, 0, None)))(mdb.nu_lines, Tarr, self.molmass) Nj = int(Nline / d2) xsm = [] for i in tqdm.tqdm(range(0, int(len(self.nus) / d) + 1)): s = int(i * d) e = int((i + 1) * d) e = min(e, len(self.nus)) xsmtmp = np.zeros((Nlayer, e - s)) for j in range(0, Nj + 1): s2 = int(j * d2) e2 = int((j + 1) * d2) e2 = min(e2, Nline) numatrix = make_numatrix0(self.nus[s:e], mdb.nu_lines[s2:e2]) xsmtmp = xsmtmp +\ lpf.xsmatrix( numatrix, sigmaDM[:, s2:e2], gammaLM[:, s2:e2], SijM[:, s2:e2]) if i == 0: xsm = np.copy(xsmtmp.T) else: xsm = np.concatenate([xsm, xsmtmp.T]) xsm = xsm.T elif xsmode == 'modit' or xsmode == 'MODIT': cnu, indexnu, R_mol, pmarray = initspec.init_modit( mdb.nu_lines, self.nus) nsigmaDl = normalized_doppler_sigma(Tarr, self.molmass, R_mol)[:, np.newaxis] ngammaLM = gammaLM / (mdb.nu_lines / R_mol) dgm_ngammaL = modit.dgmatrix(ngammaLM, 0.1) xsm = modit.xsmatrix(cnu, indexnu, R_mol, pmarray, nsigmaDl, ngammaLM, SijM, self.nus, dgm_ngammaL) xsm = self.nonnegative_xsm(xsm) elif xsmode == 'dit' or xsmode == 'DIT': cnu, indexnu, pmarray = initspec.init_dit(mdb.nu_lines, self.nus) sigmaDM = jit(vmap(doppler_sigma, (None, 0, None)))(mdb.nu_lines, Tarr, self.molmass) dgm_sigmaD = dit.dgmatrix(sigmaDM, 0.1) dgm_gammaL = dit.dgmatrix(gammaLM, 0.2) xsm = dit.xsmatrix(cnu, indexnu, pmarray, sigmaDM, gammaLM, SijM, self.nus, dgm_sigmaD, dgm_gammaL) xsm = self.nonnegative_xsm(xsm) else: print('No such xsmode=', xsmode) xsm = None return xsm