diff --git a/explanatory.ini b/explanatory.ini index 55a8ad9c1..a9d23ff03 100755 --- a/explanatory.ini +++ b/explanatory.ini @@ -172,7 +172,25 @@ be as expected in some models.) scf_tuning_index = 0 -9) scale factor today 'a_today' (arbitrary and irrelevant for most purposes) +9) Nonlocal gravity (see 1602.03558 and ref. therein, in particular app.A for the + eqs used in the code) + +Select model (LCDM: 0. (default), R/Box^{-2}R: 1. ,(g_munu R)^T: 2.) + +model = 0. + + Nonlocal modifications have been implemented in newtonian gauge only, on flat universes (K=0) + Mixing with extra DE components (:other than a cosmological constant) has not been treated. + (the latter are automatically set to zero whenever nonlocal modif are included). + When model!=0. the energy density budget is managed as follows: + a) Omega_Lambda and Omega_nlde unspecified: filled with Omega_nlde + b) Omega_Lambda and Omega_nlde specified: filled with Omega_cdm (useful for model comparison) + c) Omega_Lambda specified and Omega_nlde unspecified: filled with Omega_nlde + +#Omega_nlde = 0.0 + + +10) scale factor today 'a_today' (arbitrary and irrelevant for most purposes) (default: set to 1) # a_today = 1. @@ -206,8 +224,8 @@ reio_parametrization = reio_camb 'helium_fullreio_redshift', 'helium_fullreio_width' (default: set to 1.5, 0.5, 3.5, 0.5) -z_reio = 11.357 -#tau_reio = 0.0925 +#z_reio = 11.357 +tau_reio = 0.0925 reionization_exponent = 1.5 reionization_width = 0.5 @@ -288,7 +306,7 @@ they would slow down the code considerably. Can be left blank if you do not want to evolve cosmological perturbations at all. (default: set to blanck, no perturbation calculation) -output = tCl,pCl,lCl +output = tCl,pCl,lCl, mPk #output = tCl,pCl,lCl,mPk #output = mPk,mTk @@ -371,7 +389,7 @@ ic = ad Newtonian/longitudinal gauge (default: set to synchronous) -gauge = synchronous +gauge = new --------------------------------------------- ----> define primordial perturbation spectra: diff --git a/include/background.h b/include/background.h index ef7636f6e..5cc394efe 100755 --- a/include/background.h +++ b/include/background.h @@ -48,6 +48,16 @@ struct background double Omega0_cdm; /**< \f$ \Omega_{0 cdm} \f$ : cold dark matter */ double Omega0_lambda; /**< \f$ \Omega_{0_\Lambda} \f$ : cosmological constant */ + +//**NonLocal: */ + double model;/**0=LCDM, 1=R Box^-2 R, 2=(g_munu R)^T*/ + double gnl;/**gamma*/ + double Omega0_nlde; /**Nonlocal dark energy density fraction*/ +//**NonLocal: definition of background initial condition for auxiliary fields*/ + double U_ini_nlde; + double U_prime_ini_nlde; + double V_ini_nlde; + double V_prime_ini_nlde; double Omega0_fld; /**< \f$ \Omega_{0 de} \f$ : fluid with constant \f$ w \f$ and \f$ c_s^2 \f$ */ @@ -146,6 +156,7 @@ struct background //@{ + int index_bg_test; int index_bg_a; /**< scale factor */ int index_bg_H; /**< Hubble parameter in Mpc^{-1} */ int index_bg_H_prime; /**< its derivative w.r.t. conformal time */ @@ -160,6 +171,14 @@ struct background int index_bg_rho_ur; /**< relativistic neutrinos/relics density */ int index_bg_rho_dcdm; /**< dcdm density */ int index_bg_rho_dr; /**< dr density */ + +/**NonLocal: auxiliary fields and related energy density and pressure*/ + int index_bg_U_nlde; + int index_bg_U_prime_nlde; + int index_bg_V_nlde; + int index_bg_V_prime_nlde; + int index_bg_rho_nlde; + int index_bg_p_nlde; int index_bg_phi_scf; /**< scalar field value */ int index_bg_phi_prime_scf; /**< scalar field derivative wrt conformal time */ @@ -173,6 +192,9 @@ struct background int index_bg_p_ncdm1; /**< pressure of first ncdm species (others contiguous) */ int index_bg_pseudo_p_ncdm1;/**< another statistical momentum useful in ncdma approximation */ +/**NonLocal: in the nonlocal models, one may need to know the derivative of psi, and in order to do this one needs is to compute the derivative of rho+p for the NCDM component*/ + int index_bg_rppdot_ncdm1; + int index_bg_Omega_r; /**< relativistic density fraction (\f$ \Omega_{\gamma} + \Omega_{\nu r} \f$) */ /* end of vector in normal format, now quantitites in long format */ @@ -228,9 +250,17 @@ struct background //@{ + int index_bi_test; int index_bi_a; /**< {B} scale factor */ int index_bi_rho_dcdm;/**< {B} dcdm density */ int index_bi_rho_dr; /**< {B} dr density */ + +/**NonLocal*/ + int index_bi_U_nlde; + int index_bi_U_prime_nlde; + int index_bi_V_nlde; + int index_bi_V_prime_nlde; + int index_bi_phi_scf; /**< {B} scalar field value */ int index_bi_phi_prime_scf; /**< {B} scalar field derivative wrt conformal time */ @@ -264,6 +294,9 @@ struct background short has_ur; /**< presence of ultra-relativistic neutrinos/relics? */ short has_curvature; /**< presence of global spatial curvature? */ +/**NonLocal: presence of nonlocal model*/ + short has_nlde; + //@} /** @@ -302,9 +335,10 @@ struct background /** @name - technical parameters */ //@{ - + + short shooting_failed; /**< flag is set to true if shooting failed. */ - + ErrorMsg shooting_error; /**< Error message from shooting failed. */ short background_verbose; /**< flag regulating the amount of information sent to standard output (none if set to zero) */ @@ -417,6 +451,7 @@ extern "C" { ); +/**NonLocal:this function has been modified in order to allow computation of the derivative of rho+p for NCDM*/ int background_ncdm_momenta( double * qvec, double * wvec, @@ -425,10 +460,12 @@ extern "C" { double factor, double z, double * n, - double * rho, + double * rho, double * p, double * drho_dM, - double * pseudo_p +/**NonLocal:*/ double * rppdot, +/**NonLocal:*/ double H, + double * pseudo_p ); int background_ncdm_M_from_Omega( @@ -525,14 +562,16 @@ extern "C" { //@{ -#define _H0_BIG_ 1./2997.9 /**< maximal \f$ H_0 \f$ in \f$ Mpc^{-1} (h=1.0) \f$ */ -#define _H0_SMALL_ 0.3/2997.9 /**< minimal \f$ H_0 \f$ in \f$ Mpc^{-1} (h=0.3) \f$ */ +#define _H0_BIG_ 10./2997.9 /**< maximal \f$ H_0 \f$ in \f$ Mpc^{-1} (h=1.0) \f$ */ +#define _H0_SMALL_ 0.001/2997.9 /**< minimal \f$ H_0 \f$ in \f$ Mpc^{-1} (h=0.3) \f$ */ #define _TCMB_BIG_ 2.8 /**< maximal \f$ T_{cmb} \f$ in K */ #define _TCMB_SMALL_ 2.7 /**< minimal \f$ T_{cmb} \f$ in K */ #define _TOLERANCE_ON_CURVATURE_ 1.e-5 /**< if \f$ | \Omega_k | \f$ smaller than this, considered as flat */ #define _OMEGAK_BIG_ 0.5 /**< maximal \f$ Omega_k \f$ */ #define _OMEGAK_SMALL_ -0.5 /**< minimal \f$ Omega_k \f$ */ +/**NonLocal: higher bound for recursive method to find the correct value of gamma (executed in background.c)*/ +#define _GNL_HI_ 0.2 /**< maximal acceptable \f$ gnl \f$ */ //@} /** @@ -545,6 +584,10 @@ extern "C" { for an initial scale factor at which ncdm are still relativistic */ +/**NonLocal: parameters in the recursive algorithm to find the correct value of gamma*/ +#define _TOLH_ 0.00000001 /** tolerance on final H_0*/ +#define _MAXS_ 1000 /** max steps in bisection procedure to find */ + #define _PSD_DERIVATIVE_EXP_MIN_ -30 /**< for ncdm, for accurate computation of dlnf0/dlnq, q step is varied in range specified by these parameters */ #define _PSD_DERIVATIVE_EXP_MAX_ 2 /**< for ncdm, for accurate computation of dlnf0/dlnq, q step is varied in range specified by these parameters */ diff --git a/include/perturbations.h b/include/perturbations.h index dff8345f3..4da3afb59 100755 --- a/include/perturbations.h +++ b/include/perturbations.h @@ -389,6 +389,14 @@ struct perturb_vector int index_pt_theta_cdm; /**< cdm velocity */ int index_pt_delta_dcdm; /**< dcdm density */ int index_pt_theta_dcdm; /**< dcdm velocity */ +/**NonLocal: perturbations of auxiliary fields*/ + int index_pt_deltaU_nlde; + int index_pt_deltaU_prime_nlde; + int index_pt_deltaV_nlde; + int index_pt_deltaV_prime_nlde; + int index_pt_deltaZ_nlde; /*needed only for the model 1.*/ + int index_pt_deltaZ_prime_nlde; /*needed only for model 1.*/ + int index_pt_delta_fld; /**< dark energy density */ int index_pt_theta_fld; /**< dark energy velocity */ int index_pt_phi_scf; /**< scalar field density */ diff --git a/output/explanatory00_cl.dat b/output/explanatory00_cl.dat deleted file mode 100644 index a55bbceac..000000000 --- a/output/explanatory00_cl.dat +++ /dev/null @@ -1,3006 +0,0 @@ -# dimensionless total [l(l+1)/2pi] C_l's -# for l=2 to 3000, i.e. number of multipoles equal to 2999 -# -# -> if you prefer output in CAMB/HealPix/LensPix units/order, set 'format' to 'camb' in input file -# -> if you don't want to see such a header, set 'headers' to 'no' in input file -# -# 1:l 2:TT 3:EE 4:TE 5:BB 6:phiphi 7:TPhi 8:Ephi - 2 1.494828264962e-10 7.287313688724e-15 4.814096252365e-13 0.000000000000e+00 8.825903058192e-09 4.854150749375e-10 -2.509219549665e-12 - 3 1.409122105777e-10 1.233902880819e-14 6.057286790408e-13 0.000000000000e+00 5.419463281610e-09 3.460026351874e-10 -2.206937944320e-12 - 4 1.324544823323e-10 1.440621066041e-14 6.265770127220e-13 0.000000000000e+00 3.766408735564e-09 2.633926186946e-10 -1.760439141518e-12 - 5 1.257513137067e-10 1.332205209433e-14 5.867648098971e-13 0.000000000000e+00 2.811293187922e-09 2.090163784300e-10 -1.306629525939e-12 - 6 1.208120869506e-10 1.027922549120e-14 5.163405914201e-13 0.000000000000e+00 2.196180534864e-09 1.706914477562e-10 -8.928084131644e-13 - 7 1.173408623780e-10 6.812756681978e-15 4.356806602855e-13 0.000000000000e+00 1.772055636042e-09 1.423924788014e-10 -5.430788760723e-13 - 8 1.150184689761e-10 4.025925482801e-15 3.570204966408e-13 0.000000000000e+00 1.464715375084e-09 1.207600688866e-10 -2.682001859718e-13 - 9 1.135999047790e-10 2.327640311312e-15 2.876099606743e-13 0.000000000000e+00 1.233340324918e-09 1.037760372014e-10 -6.979417253295e-14 - 10 1.128711898779e-10 1.566529326124e-15 2.315155740171e-13 0.000000000000e+00 1.053960822568e-09 9.019198405272e-11 5.746711026704e-14 - 11 1.126923107214e-10 1.341934732648e-15 1.904071879164e-13 0.000000000000e+00 8.886903860275e-10 7.947034622238e-11 1.231717665585e-13 - 12 1.129548799419e-10 1.284647517062e-15 1.640099811385e-13 0.000000000000e+00 7.765290377883e-10 7.024902260107e-11 1.419413111320e-13 - 13 1.135393861760e-10 1.197293055339e-15 1.505553598663e-13 0.000000000000e+00 6.844577118697e-10 6.271628659209e-11 1.275338464317e-13 - 14 1.143472714342e-10 1.051900777723e-15 1.474321893989e-13 0.000000000000e+00 6.078521612663e-10 5.618594391637e-11 9.266691335674e-14 - 15 1.153846709393e-10 9.082003571206e-16 1.517032298993e-13 0.000000000000e+00 5.433708909370e-10 5.073048762327e-11 4.955835190125e-14 - 16 1.166123328419e-10 8.273594701515e-16 1.603492330956e-13 0.000000000000e+00 4.885469503862e-10 4.610648081589e-11 7.287311869173e-15 - 17 1.179479404972e-10 8.268120056110e-16 1.708128722200e-13 0.000000000000e+00 4.415169129373e-10 4.211387840792e-11 -2.781512970105e-14 - 18 1.193951058022e-10 8.792799797571e-16 1.813017201218e-13 0.000000000000e+00 4.006967566024e-10 3.856708462486e-11 -5.220563897187e-14 - 19 1.209617406786e-10 9.521461361400e-16 1.908431963579e-13 0.000000000000e+00 3.654388838237e-10 3.543633712237e-11 -6.499029399385e-14 - 20 1.225922496908e-10 1.011950917543e-15 1.986600898300e-13 0.000000000000e+00 3.343847842776e-10 3.266854102975e-11 -6.697819929328e-14 - 21 1.242986584934e-10 1.061694771227e-15 2.048212512780e-13 0.000000000000e+00 3.070470402730e-10 3.021993928628e-11 -6.030378255636e-14 - 22 1.260806657742e-10 1.119548206630e-15 2.097813911540e-13 0.000000000000e+00 2.827719397665e-10 2.800986773919e-11 -4.831774028565e-14 - 23 1.279272746940e-10 1.204745356988e-15 2.140148493542e-13 0.000000000000e+00 2.612259784877e-10 2.600783654460e-11 -3.397214620603e-14 - 24 1.298061751476e-10 1.335663864930e-15 2.180692540251e-13 0.000000000000e+00 2.419113336403e-10 2.418066743611e-11 -2.037156951174e-14 - 25 1.317344445003e-10 1.512725035086e-15 2.224077850464e-13 0.000000000000e+00 2.246011273547e-10 2.253721062537e-11 -9.356086280991e-15 - 26 1.337247098738e-10 1.729008298342e-15 2.274309363407e-13 0.000000000000e+00 2.089823761722e-10 2.107898560498e-11 -2.258191634721e-15 - 27 1.357579865165e-10 1.978160121361e-15 2.331747655353e-13 0.000000000000e+00 1.948678297650e-10 1.977257946653e-11 7.260223243591e-16 - 28 1.377983895357e-10 2.253818055858e-15 2.394886890858e-13 0.000000000000e+00 1.820142089551e-10 1.856687221886e-11 -2.100461191739e-17 - 29 1.398556490822e-10 2.555472984543e-15 2.460737792713e-13 0.000000000000e+00 1.703559555176e-10 1.745766685477e-11 -3.695849009440e-15 - 30 1.419440922823e-10 2.884311945917e-15 2.524896265272e-13 0.000000000000e+00 1.597679797637e-10 1.644673525402e-11 -9.073407781936e-15 - 31 1.440676718330e-10 3.240902305527e-15 2.582145292092e-13 0.000000000000e+00 1.500344212566e-10 1.552653458521e-11 -1.471779364923e-14 - 32 1.462293341737e-10 3.623126343762e-15 2.628609941937e-13 0.000000000000e+00 1.411050901014e-10 1.468779464604e-11 -1.976605516661e-14 - 33 1.484224318416e-10 4.027372568187e-15 2.660297643254e-13 0.000000000000e+00 1.329169137840e-10 1.391284772670e-11 -2.341130079392e-14 - 34 1.506341270035e-10 4.450530216692e-15 2.673379953140e-13 0.000000000000e+00 1.253553905232e-10 1.318010224195e-11 -2.491295668671e-14 - 35 1.528709875992e-10 4.895316206207e-15 2.667280556587e-13 0.000000000000e+00 1.183818790371e-10 1.249014627296e-11 -2.437098488726e-14 - 36 1.551406886924e-10 5.366881202584e-15 2.642693710990e-13 0.000000000000e+00 1.119404956017e-10 1.184790910408e-11 -2.223321661916e-14 - 37 1.574455227095e-10 5.870544465944e-15 2.600724846386e-13 0.000000000000e+00 1.059474769689e-10 1.125539863036e-11 -1.905132404433e-14 - 38 1.597859599964e-10 6.408564274642e-15 2.542604011651e-13 0.000000000000e+00 1.003873750537e-10 1.071146977067e-11 -1.530262209278e-14 - 39 1.621570326642e-10 6.982345183703e-15 2.469932939401e-13 0.000000000000e+00 9.524257833258e-11 1.021143089426e-11 -1.152442483542e-14 - 40 1.645464931446e-10 7.593300822556e-15 2.384800153707e-13 0.000000000000e+00 9.046404944616e-11 9.746690304583e-12 -8.371111053930e-15 - 41 1.669404436868e-10 8.242606340055e-15 2.289186989358e-13 0.000000000000e+00 8.598841732301e-11 9.307490185059e-12 -6.449479571860e-15 - 42 1.693440962309e-10 8.930362714347e-15 2.182881480263e-13 0.000000000000e+00 8.180253569195e-11 8.892958780730e-12 -5.742926956239e-15 - 43 1.717666031505e-10 9.656157669392e-15 2.064935514875e-13 0.000000000000e+00 7.789532621840e-11 8.503784436744e-12 -6.012022243156e-15 - 44 1.742150632679e-10 1.041926993809e-14 1.934217142570e-13 0.000000000000e+00 7.423840592342e-11 8.139327517495e-12 -6.945737794723e-15 - 45 1.766941800668e-10 1.121894207458e-14 1.789459834005e-13 0.000000000000e+00 7.079623196529e-11 7.798048004439e-12 -8.205372827469e-15 - 46 1.792057259340e-10 1.205533981103e-14 1.629458927466e-13 0.000000000000e+00 6.756339934764e-11 7.479209812820e-12 -9.582798151107e-15 - 47 1.817484763727e-10 1.292884799434e-14 1.452911460097e-13 0.000000000000e+00 6.453615013805e-11 7.181491761988e-12 -1.088171346280e-14 - 48 1.843180210552e-10 1.383980244197e-14 1.258349454391e-13 0.000000000000e+00 6.170112334711e-11 6.902409194150e-12 -1.187149251416e-14 - 49 1.869064996084e-10 1.478848819284e-14 1.044130316225e-13 0.000000000000e+00 5.903464076682e-11 6.638230989367e-12 -1.228538753373e-14 - 50 1.895058182885e-10 1.577513976038e-14 8.088851563871e-14 0.000000000000e+00 5.650984007095e-11 6.385062756676e-12 -1.190578175738e-14 - 51 1.921189423155e-10 1.679994603097e-14 5.530294946323e-14 0.000000000000e+00 5.412201356357e-11 6.142635553796e-12 -1.085139356880e-14 - 52 1.947512120059e-10 1.786304367164e-14 2.776460215790e-14 0.000000000000e+00 5.186891287516e-11 5.911402127901e-12 -9.364926910644e-15 - 53 1.974070317574e-10 1.896451362837e-14 -1.592582100130e-15 0.000000000000e+00 4.974316613869e-11 5.691433183524e-12 -7.735083010279e-15 - 54 2.000897696422e-10 2.010437947113e-14 -3.260778928094e-14 0.000000000000e+00 4.773193311083e-11 5.482389276439e-12 -6.298861183858e-15 - 55 2.028017992939e-10 2.128261864158e-14 -6.513198524499e-14 0.000000000000e+00 4.582082397907e-11 5.283715659471e-12 -5.362675527627e-15 - 56 2.055448677769e-10 2.249920325942e-14 -9.915784556926e-14 0.000000000000e+00 4.400758588540e-11 5.095347890908e-12 -4.937486187277e-15 - 57 2.083196432331e-10 2.375406655446e-14 -1.347200104027e-13 0.000000000000e+00 4.229121234674e-11 4.917132284290e-12 -4.941899048693e-15 - 58 2.111254877947e-10 2.504708972508e-14 -1.718584177920e-13 0.000000000000e+00 4.066780258838e-11 4.748599317150e-12 -5.276741489165e-15 - 59 2.139603627218e-10 2.637810078598e-14 -2.106186613260e-13 0.000000000000e+00 3.913038278288e-11 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3.681248418934e-17 -8.219140944933e-18 - 1830 4.199954223763e-11 1.030425611828e-12 -2.612254554912e-13 0.000000000000e+00 5.169112559702e-16 3.749088771226e-17 -8.422936658503e-18 - 1831 4.180883919631e-11 1.038095649470e-12 -2.473598407824e-13 0.000000000000e+00 5.156994852222e-16 3.817350801407e-17 -8.626589581302e-18 - 1832 4.161801523650e-11 1.045861193605e-12 -2.342866554391e-13 0.000000000000e+00 5.144910510970e-16 3.886019795601e-17 -8.830011137049e-18 - 1833 4.142711491648e-11 1.053717980396e-12 -2.220018557781e-13 0.000000000000e+00 5.132859451766e-16 3.955080188244e-17 -9.033085689415e-18 - 1834 4.123618298690e-11 1.061661726485e-12 -2.105013717536e-13 0.000000000000e+00 5.120841589461e-16 4.024516342501e-17 -9.235697102958e-18 - 1835 4.104526439097e-11 1.069688128958e-12 -1.997811069169e-13 0.000000000000e+00 5.108856837933e-16 4.094312550166e-17 -9.437728742442e-18 - 1836 4.085440426481e-11 1.077792865325e-12 -1.898369383765e-13 0.000000000000e+00 5.096905110088e-16 4.164453031564e-17 -9.639063472157e-18 - 1837 4.066364793763e-11 1.085971593492e-12 -1.806647167581e-13 0.000000000000e+00 5.084986317859e-16 4.234921935453e-17 -9.839583655250e-18 - 1838 4.047304093203e-11 1.094219951729e-12 -1.722602661650e-13 0.000000000000e+00 5.073100372200e-16 4.305703338925e-17 -1.003917115304e-17 - 1839 4.028262896427e-11 1.102533558651e-12 -1.646193841377e-13 0.000000000000e+00 5.061247183089e-16 4.376781247310e-17 -1.023770732434e-17 - 1840 4.009245794450e-11 1.110908013184e-12 -1.577378416142e-13 0.000000000000e+00 5.049426659526e-16 4.448139594073e-17 -1.043507302480e-17 - 1841 3.990257397703e-11 1.119338894539e-12 -1.516113828899e-13 0.000000000000e+00 5.037638709528e-16 4.519762240718e-17 -1.063114860618e-17 - 1842 3.971302336062e-11 1.127821762192e-12 -1.462357255779e-13 0.000000000000e+00 5.025883240129e-16 4.591632976692e-17 -1.082581391576e-17 - 1843 3.952385258870e-11 1.136352155845e-12 -1.416065605688e-13 0.000000000000e+00 5.014160157381e-16 4.663735519283e-17 -1.101894829555e-17 - 1844 3.933510834964e-11 1.144925595411e-12 -1.377195519910e-13 0.000000000000e+00 5.002469366347e-16 4.736053513521e-17 -1.121043058170e-17 - 1845 3.914683752702e-11 1.153537580980e-12 -1.345703371706e-13 0.000000000000e+00 4.990810771104e-16 4.808570532084e-17 -1.140013910382e-17 - 1846 3.895908719989e-11 1.162183592791e-12 -1.321545265912e-13 0.000000000000e+00 4.979184274741e-16 4.881270075195e-17 -1.158795168423e-17 - 1847 3.877190464304e-11 1.170859091211e-12 -1.304677038546e-13 0.000000000000e+00 4.967589779352e-16 4.954135570526e-17 -1.177374563735e-17 - 1848 3.858533732723e-11 1.179559516703e-12 -1.295054256402e-13 0.000000000000e+00 4.956027186043e-16 5.027150373100e-17 -1.195739776903e-17 - 1849 3.839943291947e-11 1.188280289800e-12 -1.292632216654e-13 0.000000000000e+00 4.944496394923e-16 5.100297765189e-17 -1.213878437580e-17 - 1850 3.821423928328e-11 1.197016811081e-12 -1.297365946458e-13 0.000000000000e+00 4.932997305106e-16 5.173560956220e-17 -1.231778124428e-17 - 1851 3.802980447896e-11 1.205764461140e-12 -1.309210202548e-13 0.000000000000e+00 4.921529814707e-16 5.246923082674e-17 -1.249426365043e-17 - 1852 3.784617676382e-11 1.214518600558e-12 -1.328119470839e-13 0.000000000000e+00 4.910093820843e-16 5.320367207990e-17 -1.266810635893e-17 - 1853 3.766340459248e-11 1.223274569884e-12 -1.354047966028e-13 0.000000000000e+00 4.898689219631e-16 5.393876322461e-17 -1.283918362246e-17 - 1854 3.748153661710e-11 1.232027689598e-12 -1.386949631195e-13 0.000000000000e+00 4.887315906182e-16 5.467433343142e-17 -1.300736918105e-17 - 1855 3.730062168764e-11 1.240773260090e-12 -1.426778137401e-13 0.000000000000e+00 4.875973774607e-16 5.541021113750e-17 -1.317253626139e-17 - 1856 3.712070885215e-11 1.249506561632e-12 -1.473486883290e-13 0.000000000000e+00 4.864662718009e-16 5.614622404560e-17 -1.333455757616e-17 - 1857 3.694184735701e-11 1.258222854351e-12 -1.527028994692e-13 0.000000000000e+00 4.853382628482e-16 5.688219912315e-17 -1.349330532336e-17 - 1858 3.676408664717e-11 1.266917378199e-12 -1.587357324218e-13 0.000000000000e+00 4.842133397113e-16 5.761796260122e-17 -1.364865118559e-17 - 1859 3.658747636645e-11 1.275585352931e-12 -1.654424450866e-13 0.000000000000e+00 4.830914913977e-16 5.835333997356e-17 -1.380046632943e-17 - 1860 3.641206635778e-11 1.284221978074e-12 -1.728182679619e-13 0.000000000000e+00 4.819727068138e-16 5.908815599559e-17 -1.394862140473e-17 - 1861 3.623790666347e-11 1.292822432904e-12 -1.808584041043e-13 0.000000000000e+00 4.808569747644e-16 5.982223468345e-17 -1.409298654395e-17 - 1862 3.606504752544e-11 1.301381876412e-12 -1.895580290895e-13 0.000000000000e+00 4.797442839528e-16 6.055539931298e-17 -1.423343136146e-17 - 1863 3.589353938553e-11 1.309895447286e-12 -1.989122909715e-13 0.000000000000e+00 4.786346229805e-16 6.128747241876e-17 -1.436982495289e-17 - 1864 3.572343288572e-11 1.318358263877e-12 -2.089163102432e-13 0.000000000000e+00 4.775279803471e-16 6.201827579314e-17 -1.450203589443e-17 - 1865 3.555477886840e-11 1.326765424175e-12 -2.195651797963e-13 0.000000000000e+00 4.764243444502e-16 6.274763048519e-17 -1.462993224216e-17 - 1866 3.538762837664e-11 1.335112005782e-12 -2.308539648813e-13 0.000000000000e+00 4.753237035850e-16 6.347535679981e-17 -1.475338153137e-17 - 1867 3.522203265446e-11 1.343393065882e-12 -2.427777030676e-13 0.000000000000e+00 4.742260459445e-16 6.420127429666e-17 -1.487225077592e-17 - 1868 3.505804314704e-11 1.351603641220e-12 -2.553314042036e-13 0.000000000000e+00 4.731313596188e-16 6.492520178922e-17 -1.498640646749e-17 - 1869 3.489571150106e-11 1.359738748070e-12 -2.685100503767e-13 0.000000000000e+00 4.720396325956e-16 6.564695734380e-17 -1.509571457497e-17 - 1870 3.473508357723e-11 1.367793797227e-12 -2.823075120351e-13 0.000000000000e+00 4.709508535876e-16 6.636637067570e-17 -1.520007946240e-17 - 1871 3.457618143638e-11 1.375765842592e-12 -2.967132871603e-13 0.000000000000e+00 4.698650145239e-16 6.708332044574e-17 -1.529956097736e-17 - 1872 3.441902121298e-11 1.383652342304e-12 -3.117157364959e-13 0.000000000000e+00 4.687821080782e-16 6.779769725363e-17 -1.539425827754e-17 - 1873 3.426361908997e-11 1.391450744599e-12 -3.273031649921e-13 0.000000000000e+00 4.677021268419e-16 6.850939126682e-17 -1.548427099598e-17 - 1874 3.410999129890e-11 1.399158487794e-12 -3.434638217290e-13 0.000000000000e+00 4.666250633242e-16 6.921829221986e-17 -1.556969924171e-17 - 1875 3.395815411992e-11 1.406773000277e-12 -3.601858998389e-13 0.000000000000e+00 4.655509099519e-16 6.992428941390e-17 -1.565064360038e-17 - 1876 3.380812388187e-11 1.414291700491e-12 -3.774575364298e-13 0.000000000000e+00 4.644796590693e-16 7.062727171611e-17 -1.572720513494e-17 - 1877 3.365991696233e-11 1.421711996926e-12 -3.952668125078e-13 0.000000000000e+00 4.634113029380e-16 7.132712755913e-17 -1.579948538633e-17 - 1878 3.351354978767e-11 1.429031288101e-12 -4.136017529000e-13 0.000000000000e+00 4.623458337369e-16 7.202374494049e-17 -1.586758637405e-17 - 1879 3.336903883310e-11 1.436246962554e-12 -4.324503261777e-13 0.000000000000e+00 4.612832435618e-16 7.271701142206e-17 -1.593161059692e-17 - 1880 3.322640062273e-11 1.443356398830e-12 -4.518004445791e-13 0.000000000000e+00 4.602235244256e-16 7.340681412953e-17 -1.599166103366e-17 - 1881 3.308565172964e-11 1.450356965465e-12 -4.716399639321e-13 0.000000000000e+00 4.591666682578e-16 7.409303975177e-17 -1.604784114360e-17 - 1882 3.294680877592e-11 1.457246020977e-12 -4.919566835773e-13 0.000000000000e+00 4.581126669047e-16 7.477557454035e-17 -1.610025486728e-17 - 1883 3.280988843269e-11 1.464020913851e-12 -5.127383462908e-13 0.000000000000e+00 4.570615121292e-16 7.545430430894e-17 -1.614900662718e-17 - 1884 3.267490742025e-11 1.470678982526e-12 -5.339726382072e-13 0.000000000000e+00 4.560131956102e-16 7.612911443274e-17 -1.619420132831e-17 - 1885 3.254188250803e-11 1.477217555385e-12 -5.556471887424e-13 0.000000000000e+00 4.549677089432e-16 7.679988984797e-17 -1.623594435893e-17 - 1886 3.241083051471e-11 1.483633950738e-12 -5.777495705163e-13 0.000000000000e+00 4.539250436397e-16 7.746651505125e-17 -1.627434159114e-17 - 1887 3.228176830826e-11 1.489925476812e-12 -6.002672992762e-13 0.000000000000e+00 4.528851911271e-16 7.812887409910e-17 -1.630949938160e-17 - 1888 3.215471280598e-11 1.496089431738e-12 -6.231878338191e-13 0.000000000000e+00 4.518481427487e-16 7.878685060732e-17 -1.634152457215e-17 - 1889 3.202968097457e-11 1.502123103538e-12 -6.464985759148e-13 0.000000000000e+00 4.508138897634e-16 7.944032775048e-17 -1.637052449047e-17 - 1890 3.190668983018e-11 1.508023770112e-12 -6.701868702289e-13 0.000000000000e+00 4.497824233458e-16 8.008918826135e-17 -1.639660695076e-17 - 1891 3.178575643847e-11 1.513788699224e-12 -6.942400042457e-13 0.000000000000e+00 4.487537345857e-16 8.073331443031e-17 -1.641988025438e-17 - 1892 3.166689791467e-11 1.519415148492e-12 -7.186452081908e-13 0.000000000000e+00 4.477278144884e-16 8.137258810484e-17 -1.644045319051e-17 - 1893 3.155013142361e-11 1.524900365375e-12 -7.433896549541e-13 0.000000000000e+00 4.467046539742e-16 8.200689068893e-17 -1.645843503681e-17 - 1894 3.143547417979e-11 1.530241587155e-12 -7.684604600128e-13 0.000000000000e+00 4.456842438785e-16 8.263610314251e-17 -1.647393556008e-17 - 1895 3.132294344746e-11 1.535436040932e-12 -7.938446813544e-13 0.000000000000e+00 4.446665749514e-16 8.326010598091e-17 -1.648706501690e-17 - 1896 3.121255654063e-11 1.540480943607e-12 -8.195293193991e-13 0.000000000000e+00 4.436516378578e-16 8.387877927432e-17 -1.649793415431e-17 - 1897 3.110433082315e-11 1.545373501867e-12 -8.455013169231e-13 0.000000000000e+00 4.426394231774e-16 8.449200264719e-17 -1.650665421048e-17 - 1898 3.099828370877e-11 1.550110912177e-12 -8.717475589814e-13 0.000000000000e+00 4.416299214040e-16 8.509965527768e-17 -1.651333691533e-17 - 1899 3.089443266117e-11 1.554690360766e-12 -8.982548728304e-13 0.000000000000e+00 4.406231229460e-16 8.570161589714e-17 -1.651809449118e-17 - 1900 3.079279519405e-11 1.559109023611e-12 -9.250100278514e-13 0.000000000000e+00 4.396190181258e-16 8.629776278948e-17 -1.652103965349e-17 - 1901 3.069338887117e-11 1.563364066428e-12 -9.519997354728e-13 0.000000000000e+00 4.386175971799e-16 8.688797379070e-17 -1.652228561140e-17 - 1902 3.059623130637e-11 1.567452644658e-12 -9.792106490933e-13 0.000000000000e+00 4.376188502587e-16 8.747212628823e-17 -1.652194606850e-17 - 1903 3.050134016368e-11 1.571371903453e-12 -1.006629364005e-12 0.000000000000e+00 4.366227674265e-16 8.805009722047e-17 -1.652013522340e-17 - 1904 3.040873315736e-11 1.575118977666e-12 -1.034242417315e-12 0.000000000000e+00 4.356293386609e-16 8.862176307616e-17 -1.651696777044e-17 - 1905 3.031842805193e-11 1.578690991834e-12 -1.062036287872e-12 0.000000000000e+00 4.346385538532e-16 8.918699989383e-17 -1.651255890033e-17 - 1906 3.023044266225e-11 1.582085060170e-12 -1.089997396182e-12 0.000000000000e+00 4.336504028082e-16 8.974568326130e-17 -1.650702430080e-17 - 1907 3.014479485356e-11 1.585298286548e-12 -1.118112104341e-12 0.000000000000e+00 4.326648752437e-16 9.029768831502e-17 -1.650048015729e-17 - 1908 3.006150254154e-11 1.588327764487e-12 -1.146366715948e-12 0.000000000000e+00 4.316819607905e-16 9.084288973962e-17 -1.649304315354e-17 - 1909 2.998057792361e-11 1.591171109561e-12 -1.174747849145e-12 0.000000000000e+00 4.307016496986e-16 9.138118430675e-17 -1.648480991744e-17 - 1910 2.990201012430e-11 1.593828061092e-12 -1.203243558993e-12 0.000000000000e+00 4.297239349597e-16 9.191255868201e-17 -1.647579518457e-17 - 1911 2.982578241693e-11 1.596298892709e-12 -1.231842223543e-12 0.000000000000e+00 4.287488102009e-16 9.243702213673e-17 -1.646599316187e-17 - 1912 2.975187798015e-11 1.598583881048e-12 -1.260532171447e-12 0.000000000000e+00 4.277762689792e-16 9.295458405596e-17 -1.645539803948e-17 - 1913 2.968027989785e-11 1.600683305758e-12 -1.289301681886e-12 0.000000000000e+00 4.268063047820e-16 9.346525393856e-17 -1.644400399071e-17 - 1914 2.961097115897e-11 1.602597449509e-12 -1.318138984511e-12 0.000000000000e+00 4.258389110267e-16 9.396904139743e-17 -1.643180517202e-17 - 1915 2.954393465740e-11 1.604326597991e-12 -1.347032259378e-12 0.000000000000e+00 4.248740810607e-16 9.446595615967e-17 -1.641879572302e-17 - 1916 2.947915319185e-11 1.605871039923e-12 -1.375969636878e-12 0.000000000000e+00 4.239118081611e-16 9.495600806679e-17 -1.640496976642e-17 - 1917 2.941660946568e-11 1.607231067057e-12 -1.404939197677e-12 0.000000000000e+00 4.229520855351e-16 9.543920707487e-17 -1.639032140806e-17 - 1918 2.935628608680e-11 1.608406974182e-12 -1.433928972651e-12 0.000000000000e+00 4.219949063191e-16 9.591556325473e-17 -1.637484473682e-17 - 1919 2.929816556751e-11 1.609399059128e-12 -1.462926942818e-12 0.000000000000e+00 4.210402635794e-16 9.638508679216e-17 -1.635853382469e-17 - 1920 2.924223032440e-11 1.610207622771e-12 -1.491921039276e-12 0.000000000000e+00 4.200881503114e-16 9.684778798806e-17 -1.634138272666e-17 - 1921 2.918846267816e-11 1.610832969042e-12 -1.520899143137e-12 0.000000000000e+00 4.191385594399e-16 9.730367725862e-17 -1.632338548077e-17 - 1922 2.913684485350e-11 1.611275404926e-12 -1.549849085462e-12 0.000000000000e+00 4.181914838188e-16 9.775276513554e-17 -1.630453610807e-17 - 1923 2.908735897900e-11 1.611535240467e-12 -1.578758647198e-12 0.000000000000e+00 4.172469162312e-16 9.819506226619e-17 -1.628482861257e-17 - 1924 2.903998708694e-11 1.611612788778e-12 -1.607615559109e-12 0.000000000000e+00 4.163048493891e-16 9.863057941379e-17 -1.626425698129e-17 - 1925 2.899471111321e-11 1.611508366041e-12 -1.636407501717e-12 0.000000000000e+00 4.153652759331e-16 9.905932745758e-17 -1.624281518416e-17 - 1926 2.895151289716e-11 1.611222291513e-12 -1.665122105231e-12 0.000000000000e+00 4.144281884329e-16 9.948131739304e-17 -1.622049717406e-17 - 1927 2.891037418145e-11 1.610754887532e-12 -1.693746949487e-12 0.000000000000e+00 4.134935793864e-16 9.989656033206e-17 -1.619729688677e-17 - 1928 2.887127661195e-11 1.610106479520e-12 -1.722269563882e-12 0.000000000000e+00 4.125614412203e-16 1.003050675031e-16 -1.617320824099e-17 - 1929 2.883420173756e-11 1.609277395988e-12 -1.750677427306e-12 0.000000000000e+00 4.116317662894e-16 1.007068502513e-16 -1.614822513827e-17 - 1930 2.879913101011e-11 1.608267968542e-12 -1.778957968082e-12 0.000000000000e+00 4.107045468770e-16 1.011019200390e-16 -1.612234146301e-17 - 1931 2.876604578422e-11 1.607078531887e-12 -1.807098563897e-12 0.000000000000e+00 4.097797751944e-16 1.014902884453e-16 -1.609555108248e-17 - 1932 2.873492731715e-11 1.605709423831e-12 -1.835086541741e-12 0.000000000000e+00 4.088574433810e-16 1.018719671670e-16 -1.606784784673e-17 - 1933 2.870575676867e-11 1.604160985290e-12 -1.862909177838e-12 0.000000000000e+00 4.079375435040e-16 1.022469680181e-16 -1.603922558864e-17 - 1934 2.867851520094e-11 1.602433560296e-12 -1.890553697584e-12 0.000000000000e+00 4.070200675585e-16 1.026153029305e-16 -1.600967812385e-17 - 1935 2.865318357835e-11 1.600527495995e-12 -1.918007275482e-12 0.000000000000e+00 4.061050074673e-16 1.029769839538e-16 -1.597919925076e-17 - 1936 2.862974276742e-11 1.598443142660e-12 -1.945257035076e-12 0.000000000000e+00 4.051923550806e-16 1.033320232557e-16 -1.594778275054e-17 - 1937 2.860817353664e-11 1.596180853687e-12 -1.972290048888e-12 0.000000000000e+00 4.042821021763e-16 1.036804331221e-16 -1.591542238705e-17 - 1938 2.858845655632e-11 1.593740985608e-12 -1.999093338350e-12 0.000000000000e+00 4.033742404594e-16 1.040222259573e-16 -1.588211190688e-17 - 1939 2.857057239850e-11 1.591123898090e-12 -2.025653873743e-12 0.000000000000e+00 4.024687615624e-16 1.043574142844e-16 -1.584784503929e-17 - 1940 2.855450153677e-11 1.588329953941e-12 -2.051958574128e-12 0.000000000000e+00 4.015656570446e-16 1.046860107450e-16 -1.581261549622e-17 - 1941 2.854022434618e-11 1.585359519118e-12 -2.077994307286e-12 0.000000000000e+00 4.006649183925e-16 1.050080280997e-16 -1.577641697226e-17 - 1942 2.852772110304e-11 1.582212962727e-12 -2.103747889648e-12 0.000000000000e+00 3.997665370195e-16 1.053234792284e-16 -1.573924314460e-17 - 1943 2.851697198488e-11 1.578890657031e-12 -2.129206086234e-12 0.000000000000e+00 3.988705042657e-16 1.056323771302e-16 -1.570108767309e-17 - 1944 2.850795707021e-11 1.575392977454e-12 -2.154355610588e-12 0.000000000000e+00 3.979768113978e-16 1.059347349238e-16 -1.566194420013e-17 - 1945 2.850065633848e-11 1.571720302583e-12 -2.179183124711e-12 0.000000000000e+00 3.970854496091e-16 1.062305658473e-16 -1.562180635072e-17 - 1946 2.849504966986e-11 1.567873014179e-12 -2.203675238995e-12 0.000000000000e+00 3.961964100194e-16 1.065198832592e-16 -1.558066773240e-17 - 1947 2.849111684517e-11 1.563851497176e-12 -2.227818512165e-12 0.000000000000e+00 3.953096836748e-16 1.068027006374e-16 -1.553852193525e-17 - 1948 2.848883512063e-11 1.559656487978e-12 -2.251600829936e-12 0.000000000000e+00 3.944252621489e-16 1.070790342139e-16 -1.549536433656e-17 - 1949 2.848817193245e-11 1.555290122209e-12 -2.275015552473e-12 0.000000000000e+00 3.935431393519e-16 1.073489108955e-16 -1.545119752962e-17 - 1950 2.848909213720e-11 1.550754894842e-12 -2.298057397966e-12 0.000000000000e+00 3.926633097354e-16 1.076123604023e-16 -1.540602593570e-17 - 1951 2.849156043162e-11 1.546053312645e-12 -2.320721066707e-12 0.000000000000e+00 3.917857676911e-16 1.078694126404e-16 -1.535985400306e-17 - 1952 2.849554135250e-11 1.541187894189e-12 -2.343001241071e-12 0.000000000000e+00 3.909105075518e-16 1.081200977019e-16 -1.531268620702e-17 - 1953 2.850099927643e-11 1.536161169874e-12 -2.364892585492e-12 0.000000000000e+00 3.900375235906e-16 1.083644458651e-16 -1.526452704996e-17 - 1954 2.850789841956e-11 1.530975681933e-12 -2.386389746445e-12 0.000000000000e+00 3.891668100210e-16 1.086024875949e-16 -1.521538106141e-17 - 1955 2.851620283744e-11 1.525633984456e-12 -2.407487352421e-12 0.000000000000e+00 3.882983609970e-16 1.088342535432e-16 -1.516525279806e-17 - 1956 2.852587642479e-11 1.520138643405e-12 -2.428180013908e-12 0.000000000000e+00 3.874321706125e-16 1.090597745489e-16 -1.511414684379e-17 - 1957 2.853688291527e-11 1.514492236626e-12 -2.448462323369e-12 0.000000000000e+00 3.865682329019e-16 1.092790816383e-16 -1.506206780972e-17 - 1958 2.854918588129e-11 1.508697353866e-12 -2.468328855222e-12 0.000000000000e+00 3.857065418393e-16 1.094922060253e-16 -1.500902033425e-17 - 1959 2.856274873380e-11 1.502756596792e-12 -2.487774165818e-12 0.000000000000e+00 3.848470913391e-16 1.096991791117e-16 -1.495500908309e-17 - 1960 2.857753472206e-11 1.496672579002e-12 -2.506792793417e-12 0.000000000000e+00 3.839898752552e-16 1.099000324877e-16 -1.490003874931e-17 - 1961 2.859350693343e-11 1.490447926046e-12 -2.525379258171e-12 0.000000000000e+00 3.831348873814e-16 1.100947979317e-16 -1.484411405337e-17 - 1962 2.861062829318e-11 1.484085275436e-12 -2.543528062102e-12 0.000000000000e+00 3.822821214513e-16 1.102835074109e-16 -1.478723974315e-17 - 1963 2.862886156428e-11 1.477587276666e-12 -2.561233689078e-12 0.000000000000e+00 3.814315711378e-16 1.104661930814e-16 -1.472942059402e-17 - 1964 2.864816934714e-11 1.470956591226e-12 -2.578490604794e-12 0.000000000000e+00 3.805832300534e-16 1.106428872886e-16 -1.467066140883e-17 - 1965 2.866851407947e-11 1.464195892618e-12 -2.595293256750e-12 0.000000000000e+00 3.797370917500e-16 1.108136225674e-16 -1.461096701798e-17 - 1966 2.868985803599e-11 1.457307866372e-12 -2.611636074229e-12 0.000000000000e+00 3.788931497187e-16 1.109784316425e-16 -1.455034227948e-17 - 1967 2.871216332830e-11 1.450295210063e-12 -2.627513468280e-12 0.000000000000e+00 3.780513973898e-16 1.111373474287e-16 -1.448879207893e-17 - 1968 2.873539190461e-11 1.443160633324e-12 -2.642919831689e-12 0.000000000000e+00 3.772118281327e-16 1.112904030308e-16 -1.442632132959e-17 - 1969 2.875950554954e-11 1.435906857862e-12 -2.657849538965e-12 0.000000000000e+00 3.763744352558e-16 1.114376317446e-16 -1.436293497243e-17 - 1970 2.878446588392e-11 1.428536617477e-12 -2.672296946316e-12 0.000000000000e+00 3.755392120064e-16 1.115790670565e-16 -1.429863797615e-17 - 1971 2.881023436459e-11 1.421052658076e-12 -2.686256391625e-12 0.000000000000e+00 3.747061515705e-16 1.117147426439e-16 -1.423343533724e-17 - 1972 2.883677228415e-11 1.413457737686e-12 -2.699722194433e-12 0.000000000000e+00 3.738752470730e-16 1.118446923757e-16 -1.416733207997e-17 - 1973 2.886404077079e-11 1.405754626474e-12 -2.712688655918e-12 0.000000000000e+00 3.730464915773e-16 1.119689503125e-16 -1.410033325648e-17 - 1974 2.889200078804e-11 1.397946106761e-12 -2.725150058867e-12 0.000000000000e+00 3.722198780851e-16 1.120875507067e-16 -1.403244394680e-17 - 1975 2.892061313459e-11 1.390034973037e-12 -2.737100667665e-12 0.000000000000e+00 3.713953995370e-16 1.122005280029e-16 -1.396366925887e-17 - 1976 2.894983844407e-11 1.382024031978e-12 -2.748534728264e-12 0.000000000000e+00 3.705730488114e-16 1.123079168381e-16 -1.389401432863e-17 - 1977 2.897963718482e-11 1.373916102461e-12 -2.759446468169e-12 0.000000000000e+00 3.697528187254e-16 1.124097520420e-16 -1.382348431998e-17 - 1978 2.900996965972e-11 1.365714015580e-12 -2.769830096411e-12 0.000000000000e+00 3.689347020339e-16 1.125060686372e-16 -1.375208442490e-17 - 1979 2.904079600591e-11 1.357420614661e-12 -2.779679803531e-12 0.000000000000e+00 3.681186914299e-16 1.125969018397e-16 -1.367981986341e-17 - 1980 2.907207619467e-11 1.349038755280e-12 -2.788989761555e-12 0.000000000000e+00 3.673047795445e-16 1.126822870588e-16 -1.360669588368e-17 - 1981 2.910377003112e-11 1.340571305276e-12 -2.797754123974e-12 0.000000000000e+00 3.664929589465e-16 1.127622598978e-16 -1.353271776203e-17 - 1982 2.913583715407e-11 1.332021144769e-12 -2.805967025722e-12 0.000000000000e+00 3.656832221425e-16 1.128368561538e-16 -1.345789080296e-17 - 1983 2.916823703577e-11 1.323391166175e-12 -2.813622583158e-12 0.000000000000e+00 3.648755615768e-16 1.129061118181e-16 -1.338222033922e-17 - 1984 2.920092898173e-11 1.314684274219e-12 -2.820714894039e-12 0.000000000000e+00 3.640699696311e-16 1.129700630770e-16 -1.330571173182e-17 - 1985 2.923387213049e-11 1.305903385956e-12 -2.827238037504e-12 0.000000000000e+00 3.632664386247e-16 1.130287463112e-16 -1.322837037008e-17 - 1986 2.926702545340e-11 1.297051430784e-12 -2.833186074050e-12 0.000000000000e+00 3.624649608144e-16 1.130821980966e-16 -1.315020167167e-17 - 1987 2.930034943583e-11 1.288131359435e-12 -2.838554524691e-12 0.000000000000e+00 3.616655289071e-16 1.131304090676e-16 -1.307120837080e-17 - 1988 2.933381113471e-11 1.279146171000e-12 -2.843344820386e-12 0.000000000000e+00 3.608681376039e-16 1.131731851352e-16 -1.299138236085e-17 - 1989 2.936737915782e-11 1.270098886134e-12 -2.847559885345e-12 0.000000000000e+00 3.600727820674e-16 1.132102852469e-16 -1.291071279174e-17 - 1990 2.940102198560e-11 1.260992538117e-12 -2.851202660845e-12 0.000000000000e+00 3.592794574098e-16 1.132414674299e-16 -1.282918877625e-17 - 1991 2.943470797099e-11 1.251830172869e-12 -2.854276105257e-12 0.000000000000e+00 3.584881586922e-16 1.132664887901e-16 -1.274679939002e-17 - 1992 2.946840533928e-11 1.242614848963e-12 -2.856783194069e-12 0.000000000000e+00 3.576988809254e-16 1.132851055107e-16 -1.266353367143e-17 - 1993 2.950208218795e-11 1.233349637646e-12 -2.858726919907e-12 0.000000000000e+00 3.569116190692e-16 1.132970728509e-16 -1.257938062165e-17 - 1994 2.953570648649e-11 1.224037622851e-12 -2.860110292562e-12 0.000000000000e+00 3.561263680324e-16 1.133021451455e-16 -1.249432920451e-17 - 1995 2.956924607625e-11 1.214681901214e-12 -2.860936339014e-12 0.000000000000e+00 3.553431226729e-16 1.133000758028e-16 -1.240836834652e-17 - 1996 2.960266867030e-11 1.205285582092e-12 -2.861208103452e-12 0.000000000000e+00 3.545618777976e-16 1.132906173043e-16 -1.232148693678e-17 - 1997 2.963594185325e-11 1.195851787577e-12 -2.860928647300e-12 0.000000000000e+00 3.537826281622e-16 1.132735212029e-16 -1.223367382697e-17 - 1998 2.966903308107e-11 1.186383652511e-12 -2.860101049241e-12 0.000000000000e+00 3.530053684710e-16 1.132485381225e-16 -1.214491783128e-17 - 1999 2.970190968097e-11 1.176884324507e-12 -2.858728405240e-12 0.000000000000e+00 3.522300933773e-16 1.132154177559e-16 -1.205520772640e-17 - 2000 2.973453885123e-11 1.167356963958e-12 -2.856813828569e-12 0.000000000000e+00 3.514567974827e-16 1.131739088646e-16 -1.196453225142e-17 - 2001 2.976688766100e-11 1.157804744060e-12 -2.854360449827e-12 0.000000000000e+00 3.506854753377e-16 1.131237592772e-16 -1.187288010784e-17 - 2002 2.979892305020e-11 1.148230850821e-12 -2.851371416967e-12 0.000000000000e+00 3.499161214408e-16 1.130647158882e-16 -1.178023995950e-17 - 2003 2.983061182932e-11 1.138638483084e-12 -2.847849895321e-12 0.000000000000e+00 3.491487302394e-16 1.129965246571e-16 -1.168660043255e-17 - 2004 2.986192067925e-11 1.129030852539e-12 -2.843799067619e-12 0.000000000000e+00 3.483832961287e-16 1.129189306071e-16 -1.159195011538e-17 - 2005 2.989281615116e-11 1.119411183738e-12 -2.839222134016e-12 0.000000000000e+00 3.476198134524e-16 1.128316778240e-16 -1.149627755861e-17 - 2006 2.992326466632e-11 1.109782714115e-12 -2.834122312115e-12 0.000000000000e+00 3.468582765024e-16 1.127345094552e-16 -1.139957127500e-17 - 2007 2.995323251593e-11 1.100148693999e-12 -2.828502836991e-12 0.000000000000e+00 3.460986795183e-16 1.126271677084e-16 -1.130181973946e-17 - 2008 2.998268586097e-11 1.090512386630e-12 -2.822366961212e-12 0.000000000000e+00 3.453410166881e-16 1.125093938504e-16 -1.120301138899e-17 - 2009 3.001159073203e-11 1.080877068178e-12 -2.815717954867e-12 0.000000000000e+00 3.445852821473e-16 1.123809282063e-16 -1.110313462258e-17 - 2010 3.003991302917e-11 1.071246027755e-12 -2.808559105587e-12 0.000000000000e+00 3.438314699797e-16 1.122415101579e-16 -1.100217780127e-17 - 2011 3.006761852174e-11 1.061622567435e-12 -2.800893718570e-12 0.000000000000e+00 3.430795742163e-16 1.120908781430e-16 -1.090012924799e-17 - 2012 3.009467284822e-11 1.052010002265e-12 -2.792725116602e-12 0.000000000000e+00 3.423295888361e-16 1.119287696540e-16 -1.079697724762e-17 - 2013 3.012104151607e-11 1.042411660286e-12 -2.784056640084e-12 0.000000000000e+00 3.415815077657e-16 1.117549212369e-16 -1.069271004687e-17 - 2014 3.014668990157e-11 1.032830882548e-12 -2.774891647053e-12 0.000000000000e+00 3.408353248790e-16 1.115690684898e-16 -1.058731585428e-17 - 2015 3.017158324965e-11 1.023271023123e-12 -2.765233513210e-12 0.000000000000e+00 3.400910339974e-16 1.113709460626e-16 -1.048078284016e-17 - 2016 3.019568667373e-11 1.013735449124e-12 -2.755085631936e-12 0.000000000000e+00 3.393486288898e-16 1.111602876548e-16 -1.037309913653e-17 - 2017 3.021896515558e-11 1.004227540722e-12 -2.744451414323e-12 0.000000000000e+00 3.386081032720e-16 1.109368260153e-16 -1.026425283713e-17 - 2018 3.024138354512e-11 9.947506911558e-13 -2.733334289195e-12 0.000000000000e+00 3.378694508074e-16 1.107002929406e-16 -1.015423199728e-17 - 2019 3.026290656031e-11 9.853083067568e-13 -2.721737703131e-12 0.000000000000e+00 3.371326651062e-16 1.104504192739e-16 -1.004302463396e-17 - 2020 3.028349878694e-11 9.759038069585e-13 -2.709665120489e-12 0.000000000000e+00 3.363977397257e-16 1.101869349042e-16 -9.930618725657e-18 - 2021 3.030312467849e-11 9.665406243152e-13 -2.697120023431e-12 0.000000000000e+00 3.356646681702e-16 1.099095687649e-16 -9.817002212372e-18 - 2022 3.032174855600e-11 9.572222045172e-13 -2.684105911944e-12 0.000000000000e+00 3.349334438909e-16 1.096180488325e-16 -9.702162995576e-18 - 2023 3.033933460786e-11 9.479520064076e-13 -2.670626303866e-12 0.000000000000e+00 3.342040602857e-16 1.093121021260e-16 -9.586088938153e-18 - 2024 3.035584688967e-11 9.387335019975e-13 -2.656684734910e-12 0.000000000000e+00 3.334765106992e-16 1.089914547051e-16 -9.468767864360e-18 - 2025 3.037124932409e-11 9.295701764826e-13 -2.642284758685e-12 0.000000000000e+00 3.327507884225e-16 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4.522036784857e-19 - 2999 3.264952842561e-12 1.072489579314e-13 -2.437273757817e-13 0.000000000000e+00 5.139479783271e-17 6.302990724938e-18 4.598357629184e-19 - 3000 3.261911498863e-12 1.063154862311e-13 -2.417840652155e-13 0.000000000000e+00 5.130579820523e-17 6.278444615939e-18 4.677203757623e-19 diff --git a/output/explanatory00_cl_lensed.dat b/output/explanatory00_cl_lensed.dat deleted file mode 100644 index ab5a42e48..000000000 --- a/output/explanatory00_cl_lensed.dat +++ /dev/null @@ -1,2506 +0,0 @@ -# dimensionless total lensed [l(l+1)/2pi] C_l's -# for l=2 to 2500, i.e. number of multipoles equal to 2499 -# -# -> if you prefer output in CAMB/HealPix/LensPix units/order, set 'format' to 'camb' in input file -# -> if you don't want to see such a header, set 'headers' to 'no' in input file -# -# 1:l 2:TT 3:EE 4:TE 5:BB 6:phiphi 7:TPhi 8:Ephi - 2 1.494833139464e-10 7.287552792955e-15 4.814096200466e-13 2.391041977703e-19 8.825903058192e-09 4.854150749375e-10 -2.509219549665e-12 - 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-1.623594435894e-17 - 1886 3.424684109274e-11 1.393542066771e-12 -9.440754852255e-13 7.219064903301e-15 4.539250436397e-16 7.746651505125e-17 -1.627434159116e-17 - 1887 3.413850358252e-11 1.397092966686e-12 -9.581657524672e-13 7.209754817203e-15 4.528851911271e-16 7.812887409910e-17 -1.630949938161e-17 - 1888 3.403154645924e-11 1.400558324038e-12 -9.725175867245e-13 7.200462212893e-15 4.518481427487e-16 7.878685060732e-17 -1.634152457216e-17 - 1889 3.392597986975e-11 1.403936390948e-12 -9.871224547017e-13 7.191187621777e-15 4.508138897634e-16 7.944032775048e-17 -1.637052449048e-17 - 1890 3.382181398806e-11 1.407225413036e-12 -1.001971784516e-12 7.181931577134e-15 4.497824233458e-16 8.008918826135e-17 -1.639660695077e-17 - 1891 3.371905901537e-11 1.410423629414e-12 -1.017056965646e-12 7.172694614115e-15 4.487537345857e-16 8.073331443031e-17 -1.641988025440e-17 - 1892 3.361772518014e-11 1.413529272673e-12 -1.032369348878e-12 7.163477269753e-15 4.477278144884e-16 8.137258810485e-17 -1.644045319053e-17 - 1893 3.351782273806e-11 1.416540568881e-12 -1.047900246256e-12 7.154280082959e-15 4.467046539742e-16 8.200689068893e-17 -1.645843503683e-17 - 1894 3.341936197210e-11 1.419455737571e-12 -1.063640931028e-12 7.145103594524e-15 4.456842438785e-16 8.263610314251e-17 -1.647393556009e-17 - 1895 3.332235319255e-11 1.422272991732e-12 -1.079582637594e-12 7.135948347125e-15 4.446665749514e-16 8.326010598091e-17 -1.648706501691e-17 - 1896 3.322680673705e-11 1.424990537806e-12 -1.095716561455e-12 7.126814885328e-15 4.436516378578e-16 8.387877927432e-17 -1.649793415433e-17 - 1897 3.313273297059e-11 1.427606575671e-12 -1.112033859162e-12 7.117703755583e-15 4.426394231774e-16 8.449200264719e-17 -1.650665421050e-17 - 1898 3.304014228557e-11 1.430119298644e-12 -1.128525648258e-12 7.108615506234e-15 4.416299214040e-16 8.509965527768e-17 -1.651333691534e-17 - 1899 3.294904510182e-11 1.432526893461e-12 -1.145183007235e-12 7.099550687519e-15 4.406231229460e-16 8.570161589714e-17 -1.651809449120e-17 - 1900 3.285945186660e-11 1.434827540280e-12 -1.161996975473e-12 7.090509851568e-15 4.396190181258e-16 8.629776278948e-17 -1.652103965350e-17 - 1901 3.277137305469e-11 1.437019412664e-12 -1.178958553195e-12 7.081493552414e-15 4.386175971799e-16 8.688797379070e-17 -1.652228561141e-17 - 1902 3.268481916835e-11 1.439100677577e-12 -1.196058701411e-12 7.072502345985e-15 4.376188502587e-16 8.747212628823e-17 -1.652194606851e-17 - 1903 3.259980073740e-11 1.441069495376e-12 -1.213288341865e-12 7.063536790115e-15 4.366227674265e-16 8.805009722047e-17 -1.652013522341e-17 - 1904 3.251632831921e-11 1.442924019801e-12 -1.230638356989e-12 7.054597444540e-15 4.356293386609e-16 8.862176307616e-17 -1.651696777045e-17 - 1905 3.243441249876e-11 1.444662397968e-12 -1.248099589842e-12 7.045684870906e-15 4.346385538532e-16 8.918699989383e-17 -1.651255890034e-17 - 1906 3.235406388867e-11 1.446282770359e-12 -1.265662844065e-12 7.036799632765e-15 4.336504028082e-16 8.974568326130e-17 -1.650702430081e-17 - 1907 3.227529312917e-11 1.447783270818e-12 -1.283318883827e-12 7.027942295581e-15 4.326648752437e-16 9.029768831502e-17 -1.650048015729e-17 - 1908 3.219811088822e-11 1.449162026538e-12 -1.301058433771e-12 7.019113426733e-15 4.316819607905e-16 9.084288973962e-17 -1.649304315354e-17 - 1909 3.212252410164e-11 1.450417514583e-12 -1.318872490634e-12 7.010313517093e-15 4.307016496986e-16 9.138118430675e-17 -1.648480991743e-17 - 1910 3.204852466218e-11 1.451549634444e-12 -1.336753260807e-12 7.001542745101e-15 4.297239349597e-16 9.191255868201e-17 -1.647579518456e-17 - 1911 3.197610064383e-11 1.452558643689e-12 -1.354693229858e-12 6.992801210887e-15 4.287488102009e-16 9.243702213673e-17 -1.646599316186e-17 - 1912 3.190524005364e-11 1.453444802184e-12 -1.372684851476e-12 6.984089014527e-15 4.277762689792e-16 9.295458405596e-17 -1.645539803947e-17 - 1913 3.183593083168e-11 1.454208372098e-12 -1.390720547422e-12 6.975406256045e-15 4.268063047820e-16 9.346525393856e-17 -1.644400399070e-17 - 1914 3.176816085090e-11 1.454849617909e-12 -1.408792707493e-12 6.966753035411e-15 4.258389110267e-16 9.396904139743e-17 -1.643180517201e-17 - 1915 3.170191791706e-11 1.455368806400e-12 -1.426893689481e-12 6.958129452543e-15 4.248740810607e-16 9.446595615967e-17 -1.641879572300e-17 - 1916 3.163718976861e-11 1.455766206673e-12 -1.445015819124e-12 6.949535607301e-15 4.239118081611e-16 9.495600806679e-17 -1.640496976640e-17 - 1917 3.157396407662e-11 1.456042090141e-12 -1.463151390074e-12 6.940971599494e-15 4.229520855351e-16 9.543920707487e-17 -1.639032140803e-17 - 1918 3.151222844467e-11 1.456196730542e-12 -1.481292663847e-12 6.932437528875e-15 4.219949063191e-16 9.591556325473e-17 -1.637484473679e-17 - 1919 3.145197040878e-11 1.456230403937e-12 -1.499431869786e-12 6.923933495142e-15 4.210402635794e-16 9.638508679216e-17 -1.635853382465e-17 - 1920 3.139317743726e-11 1.456143388714e-12 -1.517561205015e-12 6.915459597938e-15 4.200881503114e-16 9.684778798805e-17 -1.634138272662e-17 - 1921 3.133583693068e-11 1.455935965591e-12 -1.535672834404e-12 6.907015936849e-15 4.191385594399e-16 9.730367725862e-17 -1.632338548073e-17 - 1922 3.127993622173e-11 1.455608417622e-12 -1.553758890519e-12 6.898602611407e-15 4.181914838188e-16 9.775276513554e-17 -1.630453610803e-17 - 1923 3.122546257513e-11 1.455161030199e-12 -1.571811473585e-12 6.890219721087e-15 4.172469162312e-16 9.819506226619e-17 -1.628482861253e-17 - 1924 3.117240318757e-11 1.454594091057e-12 -1.589822651445e-12 6.881867365305e-15 4.163048493891e-16 9.863057941378e-17 -1.626425698125e-17 - 1925 3.112074518755e-11 1.453907890273e-12 -1.607784459514e-12 6.873545643423e-15 4.153652759331e-16 9.905932745758e-17 -1.624281518411e-17 - 1926 3.107047563537e-11 1.453102720276e-12 -1.625688900742e-12 6.865254654744e-15 4.144281884329e-16 9.948131739304e-17 -1.622049717401e-17 - 1927 3.102158152294e-11 1.452178875845e-12 -1.643527945567e-12 6.856994498514e-15 4.134935793864e-16 9.989656033205e-17 -1.619729688672e-17 - 1928 3.097404977378e-11 1.451136654117e-12 -1.661293531879e-12 6.848765273922e-15 4.125614412202e-16 1.003050675031e-16 -1.617320824094e-17 - 1929 3.092786724283e-11 1.449976354586e-12 -1.678977564973e-12 6.840567080096e-15 4.116317662894e-16 1.007068502513e-16 -1.614822513821e-17 - 1930 3.088302071643e-11 1.448698279110e-12 -1.696571917509e-12 6.832400016107e-15 4.107045468770e-16 1.011019200390e-16 -1.612234146296e-17 - 1931 3.083949691220e-11 1.447302731914e-12 -1.714068429473e-12 6.824264180968e-15 4.097797751944e-16 1.014902884453e-16 -1.609555108243e-17 - 1932 3.079728247893e-11 1.445790019594e-12 -1.731458908131e-12 6.816159673631e-15 4.088574433810e-16 1.018719671670e-16 -1.606784784668e-17 - 1933 3.075636399650e-11 1.444160451116e-12 -1.748735127987e-12 6.808086592989e-15 4.079375435040e-16 1.022469680181e-16 -1.603922558859e-17 - 1934 3.071672797579e-11 1.442414337826e-12 -1.765888830747e-12 6.800045037876e-15 4.070200675585e-16 1.026153029305e-16 -1.600967812379e-17 - 1935 3.067836085855e-11 1.440551993450e-12 -1.782911725270e-12 6.792035107064e-15 4.061050074673e-16 1.029769839538e-16 -1.597919925071e-17 - 1936 3.064124901736e-11 1.438573734098e-12 -1.799795487532e-12 6.784056899266e-15 4.051923550806e-16 1.033320232557e-16 -1.594778275049e-17 - 1937 3.060537875549e-11 1.436479878267e-12 -1.816531760578e-12 6.776110513133e-15 4.042821021763e-16 1.036804331221e-16 -1.591542238700e-17 - 1938 3.057073630683e-11 1.434270746847e-12 -1.833112154487e-12 6.768196047256e-15 4.033742404594e-16 1.040222259573e-16 -1.588211190683e-17 - 1939 3.053730783577e-11 1.431946663121e-12 -1.849528246326e-12 6.760313600163e-15 4.024687615624e-16 1.043574142844e-16 -1.584784503925e-17 - 1940 3.050507943714e-11 1.429507952771e-12 -1.865771580108e-12 6.752463270320e-15 4.015656570446e-16 1.046860107450e-16 -1.581261549618e-17 - 1941 3.047403713608e-11 1.426954943880e-12 -1.881833666752e-12 6.744645156134e-15 4.006649183925e-16 1.050080280997e-16 -1.577641697222e-17 - 1942 3.044416688796e-11 1.424287966939e-12 -1.897705984041e-12 6.736859355946e-15 3.997665370195e-16 1.053234792284e-16 -1.573924314457e-17 - 1943 3.041545457829e-11 1.421507354845e-12 -1.913379976580e-12 6.729105968034e-15 3.988705042657e-16 1.056323771302e-16 -1.570108767306e-17 - 1944 3.038788602262e-11 1.418613442909e-12 -1.928847055751e-12 6.721385090617e-15 3.979768113978e-16 1.059347349238e-16 -1.566194420011e-17 - 1945 3.036144696644e-11 1.415606568857e-12 -1.944098599678e-12 6.713696821845e-15 3.970854496091e-16 1.062305658473e-16 -1.562180635070e-17 - 1946 3.033612308509e-11 1.412487072835e-12 -1.959125953178e-12 6.706041259809e-15 3.961964100194e-16 1.065198832592e-16 -1.558066773239e-17 - 1947 3.031189998366e-11 1.409255297413e-12 -1.973920427723e-12 6.698418502532e-15 3.953096836748e-16 1.068027006374e-16 -1.553852193525e-17 - 1948 3.028876180110e-11 1.405911805547e-12 -1.988474235671e-12 6.690828586711e-15 3.944252621489e-16 1.070790342139e-16 -1.549536433657e-17 - 1949 3.026668701124e-11 1.402458036258e-12 -2.002783300715e-12 6.683271303410e-15 3.935431393519e-16 1.073489108955e-16 -1.545119752964e-17 - 1950 3.024565259003e-11 1.398895653886e-12 -2.016844468464e-12 6.675746380982e-15 3.926633097354e-16 1.076123604023e-16 -1.540602593573e-17 - 1951 3.022563540833e-11 1.395226330591e-12 -2.030654574077e-12 6.668253546199e-15 3.917857676911e-16 1.078694126404e-16 -1.535985400310e-17 - 1952 3.020661223178e-11 1.391451746359e-12 -2.044210442250e-12 6.660792524255e-15 3.909105075518e-16 1.081200977019e-16 -1.531268620707e-17 - 1953 3.018855972066e-11 1.387573589016e-12 -2.057508887205e-12 6.653363038762e-15 3.900375235906e-16 1.083644458651e-16 -1.526452705002e-17 - 1954 3.017145442976e-11 1.383593554236e-12 -2.070546712676e-12 6.645964811745e-15 3.891668100211e-16 1.086024875949e-16 -1.521538106148e-17 - 1955 3.015527280821e-11 1.379513345552e-12 -2.083320711897e-12 6.638597563645e-15 3.882983609970e-16 1.088342535432e-16 -1.516525279815e-17 - 1956 3.013999119938e-11 1.375334674367e-12 -2.095827667589e-12 6.631261013312e-15 3.874321706125e-16 1.090597745489e-16 -1.511414684388e-17 - 1957 3.012558584071e-11 1.371059259964e-12 -2.108064351952e-12 6.623954878005e-15 3.865682329019e-16 1.092790816383e-16 -1.506206780982e-17 - 1958 3.011203286357e-11 1.366688829517e-12 -2.120027526645e-12 6.616678873391e-15 3.857065418393e-16 1.094922060253e-16 -1.500902033436e-17 - 1959 3.009930829316e-11 1.362225118101e-12 -2.131713942782e-12 6.609432713540e-15 3.848470913391e-16 1.096991791118e-16 -1.495500908322e-17 - 1960 3.008738804832e-11 1.357669868701e-12 -2.143120340914e-12 6.602216110924e-15 3.839898752552e-16 1.099000324878e-16 -1.490003874945e-17 - 1961 3.007624794142e-11 1.353024832226e-12 -2.154243451019e-12 6.595028776414e-15 3.831348873815e-16 1.100947979317e-16 -1.484411405352e-17 - 1962 3.006586367823e-11 1.348291767515e-12 -2.165079992488e-12 6.587870419280e-15 3.822821214513e-16 1.102835074109e-16 -1.478723974331e-17 - 1963 3.005621085775e-11 1.343472441352e-12 -2.175626674117e-12 6.580740747185e-15 3.814315711378e-16 1.104661930814e-16 -1.472942059419e-17 - 1964 3.004726497208e-11 1.338568628473e-12 -2.185880194088e-12 6.573639466187e-15 3.805832300534e-16 1.106428872886e-16 -1.467066140900e-17 - 1965 3.003900140629e-11 1.333582111577e-12 -2.195837239963e-12 6.566566280733e-15 3.797370917500e-16 1.108136225674e-16 -1.461096701817e-17 - 1966 3.003139543830e-11 1.328514681337e-12 -2.205494488668e-12 6.559520893660e-15 3.788931497187e-16 1.109784316425e-16 -1.455034227967e-17 - 1967 3.002442223868e-11 1.323368136411e-12 -2.214848606481e-12 6.552503006189e-15 3.780513973898e-16 1.111373474287e-16 -1.448879207913e-17 - 1968 3.001805687058e-11 1.318144283453e-12 -2.223896249024e-12 6.545512317927e-15 3.772118281327e-16 1.112904030309e-16 -1.442632132979e-17 - 1969 3.001227428953e-11 1.312844937119e-12 -2.232634061242e-12 6.538548526861e-15 3.763744352558e-16 1.114376317446e-16 -1.436293497264e-17 - 1970 3.000704934337e-11 1.307471920084e-12 -2.241058677400e-12 6.531611329359e-15 3.755392120064e-16 1.115790670565e-16 -1.429863797637e-17 - 1971 3.000235677203e-11 1.302027063047e-12 -2.249166721065e-12 6.524700420163e-15 3.747061515706e-16 1.117147426439e-16 -1.423343533745e-17 - 1972 2.999817120745e-11 1.296512204745e-12 -2.256954805096e-12 6.517815492393e-15 3.738752470730e-16 1.118446923757e-16 -1.416733208018e-17 - 1973 2.999446717342e-11 1.290929191960e-12 -2.264419531630e-12 6.510956237541e-15 3.730464915773e-16 1.119689503125e-16 -1.410033325669e-17 - 1974 2.999121908545e-11 1.285279879533e-12 -2.271557492072e-12 6.504122345468e-15 3.722198780851e-16 1.120875507068e-16 -1.403244394700e-17 - 1975 2.998840125060e-11 1.279566130372e-12 -2.278365267080e-12 6.497313504402e-15 3.713953995370e-16 1.122005280029e-16 -1.396366925908e-17 - 1976 2.998598786739e-11 1.273789815464e-12 -2.284839426555e-12 6.490529400941e-15 3.705730488115e-16 1.123079168381e-16 -1.389401432883e-17 - 1977 2.998395302562e-11 1.267952813885e-12 -2.290976529629e-12 6.483769720043e-15 3.697528187254e-16 1.124097520420e-16 -1.382348432017e-17 - 1978 2.998227070624e-11 1.262057012808e-12 -2.296773124649e-12 6.477034145027e-15 3.689347020339e-16 1.125060686372e-16 -1.375208442507e-17 - 1979 2.998091478123e-11 1.256104307517e-12 -2.302225749170e-12 6.470322357573e-15 3.681186914299e-16 1.125969018397e-16 -1.367981986357e-17 - 1980 2.997985901344e-11 1.250096601416e-12 -2.307330929937e-12 6.463634037718e-15 3.673047795446e-16 1.126822870589e-16 -1.360669588383e-17 - 1981 2.997907705645e-11 1.244035806039e-12 -2.312085182879e-12 6.456968863850e-15 3.664929589466e-16 1.127622598978e-16 -1.353271776216e-17 - 1982 2.997854245445e-11 1.237923841062e-12 -2.316485013091e-12 6.450326512713e-15 3.656832221425e-16 1.128368561538e-16 -1.345789080307e-17 - 1983 2.997822864208e-11 1.231762634310e-12 -2.320526914825e-12 6.443706659399e-15 3.648755615768e-16 1.129061118181e-16 -1.338222033931e-17 - 1984 2.997810894430e-11 1.225554121770e-12 -2.324207371477e-12 6.437108977349e-15 3.640699696311e-16 1.129700630770e-16 -1.330571173188e-17 - 1985 2.997815657626e-11 1.219300247604e-12 -2.327522855573e-12 6.430533138348e-15 3.632664386247e-16 1.130287463112e-16 -1.322837037011e-17 - 1986 2.997834464313e-11 1.213002964153e-12 -2.330469828761e-12 6.423978812524e-15 3.624649608144e-16 1.130821980966e-16 -1.315020167167e-17 - 1987 2.997864740247e-11 1.206664222757e-12 -2.333045681130e-12 6.417445652013e-15 3.616655289071e-16 1.131304090676e-16 -1.307120837076e-17 - 1988 2.997904406168e-11 1.200285946111e-12 -2.335251556768e-12 6.410933241816e-15 3.608681376039e-16 1.131731851352e-16 -1.299138236078e-17 - 1989 2.997951500821e-11 1.193870055721e-12 -2.337089548998e-12 6.404441148577e-15 3.600727820674e-16 1.132102852469e-16 -1.291071279163e-17 - 1990 2.998004054957e-11 1.187418481098e-12 -2.338561762941e-12 6.397968936877e-15 3.592794574097e-16 1.132414674299e-16 -1.282918877610e-17 - 1991 2.998060091318e-11 1.180933159763e-12 -2.339670315538e-12 6.391516169231e-15 3.584881586922e-16 1.132664887901e-16 -1.274679938982e-17 - 1992 2.998117624631e-11 1.174416037261e-12 -2.340417335563e-12 6.385082406091e-15 3.576988809254e-16 1.132851055106e-16 -1.266353367120e-17 - 1993 2.998174661596e-11 1.167869067166e-12 -2.340804963641e-12 6.378667205838e-15 3.569116190692e-16 1.132970728509e-16 -1.257938062137e-17 - 1994 2.998229200874e-11 1.161294211098e-12 -2.340835352263e-12 6.372270124780e-15 3.561263680324e-16 1.133021451455e-16 -1.249432920418e-17 - 1995 2.998279233082e-11 1.154693438727e-12 -2.340510665804e-12 6.365890717151e-15 3.553431226729e-16 1.133000758028e-16 -1.240836834615e-17 - 1996 2.998322740777e-11 1.148068727785e-12 -2.339833080535e-12 6.359528535107e-15 3.545618777976e-16 1.132906173042e-16 -1.232148693636e-17 - 1997 2.998357698451e-11 1.141422064080e-12 -2.338804784646e-12 6.353183128724e-15 3.537826281621e-16 1.132735212029e-16 -1.223367382651e-17 - 1998 2.998382072516e-11 1.134755441500e-12 -2.337427978256e-12 6.346854045994e-15 3.530053684710e-16 1.132485381224e-16 -1.214491783078e-17 - 1999 2.998393821301e-11 1.128070862026e-12 -2.335704873433e-12 6.340540832825e-15 3.522300933772e-16 1.132154177559e-16 -1.205520772585e-17 - 2000 2.998390895031e-11 1.121370335744e-12 -2.333637694208e-12 6.334243033032e-15 3.514567974827e-16 1.131739088646e-16 -1.196453225083e-17 - 2001 2.998371235830e-11 1.114655880852e-12 -2.331228676593e-12 6.327960188344e-15 3.506854753376e-16 1.131237592772e-16 -1.187288010721e-17 - 2002 2.998332777700e-11 1.107929523673e-12 -2.328480068596e-12 6.321691838391e-15 3.499161214408e-16 1.130647158882e-16 -1.178023995884e-17 - 2003 2.998273446516e-11 1.101193298660e-12 -2.325394130238e-12 6.315437520709e-15 3.491487302393e-16 1.129965246571e-16 -1.168660043186e-17 - 2004 2.998191160015e-11 1.094449248415e-12 -2.321973133568e-12 6.309196770733e-15 3.483832961286e-16 1.129189306070e-16 -1.159195011466e-17 - 2005 2.998083827787e-11 1.087699423689e-12 -2.318219362683e-12 6.302969121796e-15 3.476198134524e-16 1.128316778240e-16 -1.149627755785e-17 - 2006 2.997949351263e-11 1.080945883401e-12 -2.314135113738e-12 6.296754105125e-15 3.468582765023e-16 1.127345094552e-16 -1.139957127422e-17 - 2007 2.997785623706e-11 1.074190694641e-12 -2.309722694968e-12 6.290551249840e-15 3.460986795182e-16 1.126271677083e-16 -1.130181973867e-17 - 2008 2.997590530200e-11 1.067435932686e-12 -2.304984426701e-12 6.284360082950e-15 3.453410166880e-16 1.125093938504e-16 -1.120301138818e-17 - 2009 2.997361947642e-11 1.060683681005e-12 -2.299922641374e-12 6.278180129350e-15 3.445852821473e-16 1.123809282062e-16 -1.110313462176e-17 - 2010 2.997097744728e-11 1.053936031274e-12 -2.294539683554e-12 6.272010911818e-15 3.438314699796e-16 1.122415101579e-16 -1.100217780044e-17 - 2011 2.996795781948e-11 1.047195083382e-12 -2.288837909947e-12 6.265851951014e-15 3.430795742162e-16 1.120908781430e-16 -1.090012924717e-17 - 2012 2.996453911572e-11 1.040462945444e-12 -2.282819689419e-12 6.259702765478e-15 3.423295888361e-16 1.119287696540e-16 -1.079697724680e-17 - 2013 2.996069977640e-11 1.033741733810e-12 -2.276487403012e-12 6.253562871621e-15 3.415815077656e-16 1.117549212368e-16 -1.069271004607e-17 - 2014 2.995641815956e-11 1.027033573075e-12 -2.269843443959e-12 6.247431783731e-15 3.408353248789e-16 1.115690684898e-16 -1.058731585350e-17 - 2015 2.995167254073e-11 1.020340596089e-12 -2.262890217701e-12 6.241309013963e-15 3.400910339974e-16 1.113709460626e-16 -1.048078283940e-17 - 2016 2.994644111284e-11 1.013664943969e-12 -2.255630141900e-12 6.235194072341e-15 3.393486288897e-16 1.111602876548e-16 -1.037309913581e-17 - 2017 2.994070198615e-11 1.007008766106e-12 -2.248065646463e-12 6.229086466752e-15 3.386081032720e-16 1.109368260153e-16 -1.026425283645e-17 - 2018 2.993443318810e-11 1.000374220177e-12 -2.240199173550e-12 6.222985702947e-15 3.378694508073e-16 1.107002929405e-16 -1.015423199666e-17 - 2019 2.992761266327e-11 9.937634721564e-13 -2.232033177594e-12 6.216891284532e-15 3.371326651061e-16 1.104504192739e-16 -1.004302463340e-17 - 2020 2.992021827321e-11 9.871786963232e-13 -2.223570125318e-12 6.210802712974e-15 3.363977397257e-16 1.101869349042e-16 -9.930618725160e-18 - 2021 2.991222779640e-11 9.806220752735e-13 -2.214812495748e-12 6.204719487589e-15 3.356646681702e-16 1.099095687649e-16 -9.817002211955e-18 - 2022 2.990361892810e-11 9.740957999296e-13 -2.205762780234e-12 6.198641105546e-15 3.349334438909e-16 1.096180488325e-16 -9.702162995247e-18 - 2023 2.989436928029e-11 9.676020695503e-13 -2.196423482461e-12 6.192567061862e-15 3.342040602857e-16 1.093121021259e-16 -9.586088937922e-18 - 2024 2.988445638155e-11 9.611430917413e-13 -2.186797118471e-12 6.186496849397e-15 3.334765106991e-16 1.089914547051e-16 -9.468767864240e-18 - 2025 2.987385767694e-11 9.547210824649e-13 -2.176886216672e-12 6.180429958857e-15 3.327507884225e-16 1.086558316696e-16 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-1.564062159328e-18 - 2453 1.158569448200e-11 3.586531745985e-13 -4.575660935640e-13 3.633865348433e-15 1.389418493242e-16 2.091925422433e-17 -1.601792776995e-18 - 2454 1.155188284684e-11 3.586787819670e-13 -4.544861990675e-13 3.628873422801e-15 1.386750480900e-16 2.101753036431e-17 -1.640234388765e-18 - 2455 1.151806485682e-11 3.587226957396e-13 -4.514873097592e-13 3.623881687471e-15 1.384088194192e-16 2.111483735472e-17 -1.679425114010e-18 - 2456 1.148424503791e-11 3.587844386494e-13 -4.485694491490e-13 3.618890247768e-15 1.381431622676e-16 2.121121673779e-17 -1.719314529122e-18 - 2457 1.145042779364e-11 3.588635238637e-13 -4.457324405709e-13 3.613899218244e-15 1.378780757386e-16 2.130672372301e-17 -1.759829858173e-18 - 2458 1.141661754163e-11 3.589594628575e-13 -4.429761062794e-13 3.608908713776e-15 1.376135589269e-16 2.140141370573e-17 -1.800898084353e-18 - 2459 1.138281871360e-11 3.590717654113e-13 -4.403002674482e-13 3.603918849571e-15 1.373496109188e-16 2.149534226733e-17 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-2.140506488599e-18 - 2467 1.111337582597e-11 3.604998872320e-13 -4.217695765263e-13 3.564036918276e-15 1.352583913161e-16 2.222609091523e-17 -2.183225165750e-18 - 2468 1.107988157592e-11 3.607371215547e-13 -4.198099706853e-13 3.559058054828e-15 1.349995200113e-16 2.231569864232e-17 -2.225753269459e-18 - 2469 1.104644384605e-11 3.609857236798e-13 -4.179290123156e-13 3.554081001761e-15 1.347412079016e-16 2.240511103699e-17 -2.268015117002e-18 - 2470 1.101306722418e-11 3.612451846362e-13 -4.161265106176e-13 3.549105877903e-15 1.344834539790e-16 2.249438573979e-17 -2.309934781821e-18 - 2471 1.097975631243e-11 3.615149937379e-13 -4.144022736957e-13 3.544132802408e-15 1.342262572265e-16 2.258358057961e-17 -2.351436093276e-18 - 2472 1.094651572717e-11 3.617946385815e-13 -4.127561085570e-13 3.539161894765e-15 1.339696166186e-16 2.267275357387e-17 -2.392442636404e-18 - 2473 1.091335009911e-11 3.620836050451e-13 -4.111878211098e-13 3.534193274791e-15 1.337135311212e-16 2.276196292873e-17 -2.432877751667e-18 - 2474 1.088026407326e-11 3.623813772863e-13 -4.096972161625e-13 3.529227062638e-15 1.334579996913e-16 2.285126703925e-17 -2.472664534709e-18 - 2475 1.084726230897e-11 3.626874377401e-13 -4.082840974226e-13 3.524263378788e-15 1.332030212773e-16 2.294072448960e-17 -2.511725836110e-18 - 2476 1.081434947994e-11 3.630012671179e-13 -4.069482674947e-13 3.519302344056e-15 1.329485948190e-16 2.303039405327e-17 -2.549984261135e-18 - 2477 1.078153027423e-11 3.633223444051e-13 -4.056895278799e-13 3.514344079590e-15 1.326947192473e-16 2.312033469321e-17 -2.587362169496e-18 - 2478 1.074880939427e-11 3.636501468594e-13 -4.045076789743e-13 3.509388706872e-15 1.324413934846e-16 2.321060556206e-17 -2.623781675097e-18 - 2479 1.071619155687e-11 3.639841500094e-13 -4.034025200676e-13 3.504436347715e-15 1.321886164442e-16 2.330126600235e-17 -2.659164645794e-18 - 2480 1.068368149328e-11 3.643238276525e-13 -4.023738493420e-13 3.499487124268e-15 1.319363870311e-16 2.339237554666e-17 -2.693432703146e-18 - 2481 1.065128394912e-11 3.646686518535e-13 -4.014214638709e-13 3.494541159012e-15 1.316847041411e-16 2.348399391781e-17 -2.726507222169e-18 - 2482 1.061900368449e-11 3.650180929423e-13 -4.005451596175e-13 3.489598574764e-15 1.314335666614e-16 2.357618102909e-17 -2.758309331090e-18 - 2483 1.058684547390e-11 3.653716195127e-13 -3.997447314337e-13 3.484659494674e-15 1.311829734706e-16 2.366899698441e-17 -2.788759911099e-18 - 2484 1.055481410633e-11 3.657286984203e-13 -3.990199730588e-13 3.479724042229e-15 1.309329234382e-16 2.376250207853e-17 -2.817779596107e-18 - 2485 1.052291438526e-11 3.660887947808e-13 -3.983706771181e-13 3.474792341249e-15 1.306834154251e-16 2.385675679721e-17 -2.845288772496e-18 - 2486 1.049115112862e-11 3.664513719684e-13 -3.977966351216e-13 3.469864515891e-15 1.304344482833e-16 2.395182181742e-17 -2.871207578873e-18 - 2487 1.045952916886e-11 3.668158916138e-13 -3.972976374631e-13 3.464940690647e-15 1.301860208559e-16 2.404775800754e-17 -2.895455905826e-18 - 2488 1.042805335297e-11 3.671818136027e-13 -3.968734734185e-13 3.460020990346e-15 1.299381319774e-16 2.414462642754e-17 -2.917953395674e-18 - 2489 1.039672854243e-11 3.675485960738e-13 -3.965239311445e-13 3.455105540152e-15 1.296907804730e-16 2.424248832919e-17 -2.938619442224e-18 - 2490 1.036555961330e-11 3.679156954172e-13 -3.962487976779e-13 3.450194465567e-15 1.294439651596e-16 2.434140515620e-17 -2.957373190525e-18 - 2491 1.033455145619e-11 3.682825662727e-13 -3.960478589338e-13 3.445287892430e-15 1.291976848448e-16 2.444143854448e-17 -2.974133536618e-18 - 2492 1.030370897627e-11 3.686486615276e-13 -3.959208997042e-13 3.440385946916e-15 1.289519383276e-16 2.454265032228e-17 -2.988819127294e-18 - 2493 1.027303709331e-11 3.690134323156e-13 -3.958677036574e-13 3.435488755540e-15 1.287067243977e-16 2.464510251040e-17 -3.001348359845e-18 - 2494 1.024254014573e-11 3.693763599945e-13 -3.958878300522e-13 3.430596439372e-15 1.284620416789e-16 2.474883036673e-17 -3.011667418328e-18 - 2495 1.021222009883e-11 3.697370522887e-13 -3.959799424530e-13 3.425709096658e-15 1.282178881543e-16 2.485376134652e-17 -3.019834562716e-18 - 2496 1.018207832609e-11 3.700951477078e-13 -3.961424760713e-13 3.420826820099e-15 1.279742616380e-16 2.495979566669e-17 -3.025936334130e-18 - 2497 1.015211620413e-11 3.704502836167e-13 -3.963738606857e-13 3.415949702623e-15 1.277311599321e-16 2.506683321795e-17 -3.030059563559e-18 - 2498 1.012233511273e-11 3.708020962347e-13 -3.966725206371e-13 3.411077837386e-15 1.274885808267e-16 2.517477356447e-17 -3.032291372156e-18 - 2499 1.009273643483e-11 3.711502206340e-13 -3.970368748223e-13 3.406211317774e-15 1.272465220997e-16 2.528351594355e-17 -3.032719171534e-18 - 2500 1.006332155656e-11 3.714942907391e-13 -3.974653366888e-13 3.401350237397e-15 1.270049815174e-16 2.539295926532e-17 -3.031430664056e-18 diff --git a/output/explanatory00_parameters.ini b/output/explanatory00_parameters.ini deleted file mode 100644 index aa529a0e5..000000000 --- a/output/explanatory00_parameters.ini +++ /dev/null @@ -1,63 +0,0 @@ -# List of input/precision parameters actually read -# (all other parameters set to default values) -# Obtained with CLASS v2.4.1 (for developpers: svn version 6142M) -# -# This file can be used as the input file of another run -# -h = 0.67556 -T_cmb = 2.7255 -omega_b = 0.022032 -N_ur = 3.046 -omega_cdm = 0.12038 -Omega_dcdmdr = 0.0 -Gamma_dcdm = 0.0 -N_ncdm = 0 -Omega_k = 0. -Omega_fld = 0 -Omega_scf = 0 -YHe = BBN -recombination = RECFAST -reio_parametrization = reio_camb -z_reio = 11.357 -reionization_exponent = 1.5 -reionization_width = 0.5 -helium_fullreio_redshift = 3.5 -helium_fullreio_width = 0.5 -annihilation = 0. -annihilation_variation = 0. -annihilation_z = 1000 -annihilation_zmax = 2500 -annihilation_zmin = 30 -annihilation_f_halo = 20 -annihilation_z_halo = 8 -on the spot = yes -decay = 0. -output = tCl,pCl,lCl -modes = s -lensing = yes -ic = ad -gauge = synchronous -P_k_ini type = analytic_Pk -k_pivot = 0.05 -A_s = 2.215e-9 -n_s = 0.9619 -alpha_s = 0. -l_max_scalars = 2500 -headers = yes -format = class -write background = no -write thermodynamics = no -write primordial = no -write parameters = yeap -input_verbose = 1 -background_verbose = 1 -thermodynamics_verbose = 1 -perturbations_verbose = 1 -transfer_verbose = 1 -primordial_verbose = 1 -spectra_verbose = 1 -nonlinear_verbose = 1 -lensing_verbose = 1 -output_verbose = 1 -root = output/explanatory00_ -# diff --git a/output/explanatory00_unused_parameters b/output/explanatory00_unused_parameters deleted file mode 100644 index 51deb62cb..000000000 --- a/output/explanatory00_unused_parameters +++ /dev/null @@ -1,62 +0,0 @@ -# List of input/precision parameters passed -# but not used (just for info) -# -deprecated) (one more remark: if you have respectively 1,2,3 massive neutrinos, if you stick to the default value T_ncdm equal to 0.71611, designed to give m/omega of 93.14 eV, and if you want to use N_ur to get N_eff = 3.046 in the early universe, then you should pass here respectively 2.0328,1.0196,0.00641) -ncdm_psd_filenames = psd_FD_single.dat -ncdm_psd_parameters = 0.3 ,0.5, 0.05 -m_ncdm = 0.04, 0.04, 0.04 -w0_fld = -0.9 -wa_fld = 0. -cs2_fld = 1 -attractor_ic_scf = yes -scf_parameters = 10.0, 0.0, 0.0, 0.0, 100.0, 0.0 -scf_tuning_index = 0 -binned_reio_num = 3 -binned_reio_z = 8,12,16 -binned_reio_xe = 0.8,0.2,0.1 -binned_reio_step_sharpness = 0.3 -f_bi = 1. -n_bi = 1.5 -f_cdi = 1. -f_nid = 1. -n_nid = 2. -alpha_nid = 0.01 -c_ad_bi = 0.5 -c_ad_cdi = -1. -c_bi_nid = 1. -r = 1. -n_t = scc -alpha_t = scc -potential = polynomial -2.b.2) for 'inflation_V' and 'polynomial': enter either the coefficients 'V_0', 'V_1', 'V_2', 'V_3', 'V_4' of the Taylor expansion (in units of Planck mass to appropriate power), or their ratios 'R_0', 'R_1', 'R_2', 'R_3', 'R_4' corresponding to (128pi/3)*V_0^3/V_1^2, V_1^2/V_0^2, V_2/V_0, V_1*V_3/V_0, V_1^2*V_4/V_0^3, or the potential-slow-roll parameters 'PSR_0', 'PSR_1', 'PSR_2', 'PSR_3', 'PSR_4', equal respectively to R_0, epsilon_V = R_1/(16pi), eta_V=R_2/(8pi), ksi_V=R_3/(8pi)^2, omega_V=R_4/(8pi)^3 (default: 'V_0' set to 1.25e-13, 'V_1' to 1.12e-14, 'V_2' to 6.95e-14, 'V_3' and 'V_4' to zero). -V_0 = 1.e-13 -V_1 = -1.e-14 -V_2 = 7.e-14 -H_0 = 1.e-13 -H_1 = -1.e-14 -H_2 = 7.e-14 -full_potential = polynomial -ln_aH_ratio = 50 -k1 = 0.002 -k2 = 0.1 -P_{RR}^1 = 2.3e-9 -P_{RR}^2 = 2.3e-9 -P_{II}^1 = 1.e-11 -P_{II}^2 = 1.e-11 -P_{RI}^1 = -1.e-13 -|P_{RI}^2| = 1.e-13 -command = cat external_Pk/Pk_example.dat -custom1 = 0.05 -custom2 = 2.215e-9 -custom3 = 0.9624 -custom4 = 2e-10 -custom5 = -0.1 -l_max_tensors = 500 -P_k_max_h/Mpc = 1. -z_pk = 0 -selection = gaussian -selection_mean = 0.98,0.99,1.0,1.1,1.2 -selection_width = 0.1 -non_diagonal = 4 -bias = 1. -s_bias = 0. diff --git a/python/cclassy.pxd b/python/cclassy.pxd index 0d5f753b8..60d158039 100644 --- a/python/cclassy.pxd +++ b/python/cclassy.pxd @@ -51,6 +51,9 @@ cdef extern from "class.h": double Omega0_ncdm_tot double Omega0_lambda double Omega0_fld + double Omega0_nlde #**NonLocal + double gnl #**NonLocal + double Omega_cdm #**NonLocal double w0_fld double wa_fld double cs2_fld diff --git a/python/classy.pyx b/python/classy.pyx index dd9c3d413..63fefa953 100644 --- a/python/classy.pyx +++ b/python/classy.pyx @@ -303,7 +303,7 @@ cdef class Class: if input_init(&self.fc, &self.pr, &self.ba, &self.th, &self.pt, &self.tr, &self.pm, &self.sp, &self.nl, &self.le, &self.op, errmsg) == _FAILURE_: - raise CosmoSevereError(errmsg) + raise CosmoComputationError(errmsg) self.ncp.add("input") # This part is done to list all the unread parameters, for debugging problem_flag = False @@ -738,10 +738,15 @@ cdef class Class: def n_s(self): return self.pm.n_s - # Defined twice ? def Omega_m(self): return self.ba.Omega0_b+self.ba.Omega0_cdm + def Omega_nlde(self): + return self.ba.Omega0_nlde #**NonLocal + + def gnl(self): + return self.ba.gnl #**Nonlocal + def Omega_b(self): return self.ba.Omega0_b @@ -1195,8 +1200,14 @@ cdef class Class: value = self.ba.h elif name == 'H0': value = self.ba.h*100 + elif name == 'Omega_nlde': #**NonLocal + value = self.ba.Omega0_nlde + elif name == 'gnl': + value = self.ba.gnl elif name == 'Omega0_lambda' or name == 'Omega_Lambda': value = self.ba.Omega0_lambda + elif name == 'Omega_cdm': + value = self.ba.Omega0_cdm elif name == 'Omega0_fld': value = self.ba.Omega0_fld elif name == 'age': diff --git a/source/background.c b/source/background.c index a6e419a88..a0e06f51f 100755 --- a/source/background.c +++ b/source/background.c @@ -251,6 +251,10 @@ int background_functions( /** Summary: */ /** - define local variables */ + + /**NonLocal: p and rho for H, H' determination (Friedmann equations): they do not include the nonlocal contributions*/ + double rho_H; + double p_H; /* total density */ double rho_tot; @@ -266,13 +270,28 @@ int background_functions( double rho_ncdm,p_ncdm,pseudo_p_ncdm; /* index for n_ncdm species */ int n_ncdm; + /**NonLocal: needed for perturbations*/ double rppdot; /* scale factor */ double a; + /**NonLocal: Auxiliary fields */ + double Unl=0., Unl_prime=0., Vnl=0., Vnl_prime=0.; /* scalar field quantitites */ double phi, phi_prime; - /** - initialize local variables */ + /** initialize local variables */ + +/**NonLocal*/ rho_H = 0.; +/**NonLocal*/ p_H = 0.; a = pvecback_B[pba->index_bi_a]; + + /**NonLocal*/ + if (pba->has_nlde) { + Unl = pvecback_B[pba->index_bi_U_nlde]; + Unl_prime = pvecback_B[pba->index_bi_U_prime_nlde]; + Vnl = pvecback_B[pba->index_bi_V_nlde]; + Vnl_prime = pvecback_B[pba->index_bi_V_prime_nlde]; + } + rho_tot = 0.; p_tot = 0.; rho_r=0.; @@ -285,17 +304,28 @@ int background_functions( /** - pass value of a to output */ pvecback[pba->index_bg_a] = a; + + /**NonLocal: Auxiliary fields of the nonlocal models*/ + if (pba->has_nlde) { + pvecback[pba->index_bg_U_nlde] = Unl; // value of the field U + pvecback[pba->index_bg_U_prime_nlde] = Unl_prime; // value of the field U derivative wrt conformal time + pvecback[pba->index_bg_V_nlde] = Vnl; // value of the field V + pvecback[pba->index_bg_V_prime_nlde] = Vnl_prime; // value of the field V derivative wrt conformal time + } /** - compute each component's density and pressure */ /* photons */ pvecback[pba->index_bg_rho_g] = pba->Omega0_g * pow(pba->H0,2) / pow(a_rel,4); +/**NonLocal*/ rho_H += pvecback[pba->index_bg_rho_g]; +/**NonLocal*/ p_H += (1./3.) * pvecback[pba->index_bg_rho_g]; rho_tot += pvecback[pba->index_bg_rho_g]; p_tot += (1./3.) * pvecback[pba->index_bg_rho_g]; rho_r += pvecback[pba->index_bg_rho_g]; /* baryons */ pvecback[pba->index_bg_rho_b] = pba->Omega0_b * pow(pba->H0,2) / pow(a_rel,3); +/**NonLocal*/ rho_H += pvecback[pba->index_bg_rho_b]; rho_tot += pvecback[pba->index_bg_rho_b]; p_tot += 0; rho_m += pvecback[pba->index_bg_rho_b]; @@ -303,6 +333,7 @@ int background_functions( /* cdm */ if (pba->has_cdm == _TRUE_) { pvecback[pba->index_bg_rho_cdm] = pba->Omega0_cdm * pow(pba->H0,2) / pow(a_rel,3); +/**NonLocal*/ rho_H += pvecback[pba->index_bg_rho_cdm]; rho_tot += pvecback[pba->index_bg_rho_cdm]; p_tot += 0.; rho_m += pvecback[pba->index_bg_rho_cdm]; @@ -312,6 +343,7 @@ int background_functions( if (pba->has_dcdm == _TRUE_) { /* Pass value of rho_dcdm to output */ pvecback[pba->index_bg_rho_dcdm] = pvecback_B[pba->index_bi_rho_dcdm]; +/**NonLocal*/ rho_H += pvecback[pba->index_bg_rho_dcdm]; rho_tot += pvecback[pba->index_bg_rho_dcdm]; p_tot += 0.; rho_m += pvecback[pba->index_bg_rho_dcdm]; @@ -321,6 +353,7 @@ int background_functions( if (pba->has_dr == _TRUE_) { /* Pass value of rho_dr to output */ pvecback[pba->index_bg_rho_dr] = pvecback_B[pba->index_bi_rho_dr]; +/**NonLocal*/ rho_H += pvecback[pba->index_bg_rho_dr]; rho_tot += pvecback[pba->index_bg_rho_dr]; p_tot += (1./3.)*pvecback[pba->index_bg_rho_dr]; rho_r += pvecback[pba->index_bg_rho_dr]; @@ -337,6 +370,8 @@ int background_functions( pvecback[pba->index_bg_ddV_scf] = ddV_scf(pba,phi); // ddV_scf(pba,phi); //potential'' as function of phi pvecback[pba->index_bg_rho_scf] = (phi_prime*phi_prime/(2*a*a) + V_scf(pba,phi))/3.; // energy of the scalar field. The field units are set automatically by setting the initial conditions pvecback[pba->index_bg_p_scf] =(phi_prime*phi_prime/(2*a*a) - V_scf(pba,phi))/3.; // pressure of the scalar field +/**NonLocal*/ rho_H += pvecback[pba->index_bg_rho_scf]; +/**NonLocal*/ p_H += pvecback[pba->index_bg_p_scf]; rho_tot += pvecback[pba->index_bg_rho_scf]; p_tot += pvecback[pba->index_bg_p_scf]; //divide relativistic & nonrelativistic (not very meaningful for oscillatory models) @@ -353,7 +388,7 @@ int background_functions( /* function returning background ncdm[n_ncdm] quantities (only those for which non-NULL pointers are passed) */ - class_call(background_ncdm_momenta( + class_call(background_ncdm_momenta(/**NonLocal: modified function*/ pba->q_ncdm_bg[n_ncdm], pba->w_ncdm_bg[n_ncdm], pba->q_size_ncdm_bg[n_ncdm], @@ -364,13 +399,17 @@ int background_functions( &rho_ncdm, &p_ncdm, NULL, + NULL, /**NonLocal*/ + 0., /**NonLocal*/ &pseudo_p_ncdm), pba->error_message, pba->error_message); pvecback[pba->index_bg_rho_ncdm1+n_ncdm] = rho_ncdm; +/**NonLocal*/ rho_H += rho_ncdm; rho_tot += rho_ncdm; pvecback[pba->index_bg_p_ncdm1+n_ncdm] = p_ncdm; +/**NonLocal*/p_H += p_ncdm; p_tot += p_ncdm; pvecback[pba->index_bg_pseudo_p_ncdm1+n_ncdm] = pseudo_p_ncdm; @@ -386,6 +425,8 @@ int background_functions( /* Lambda */ if (pba->has_lambda == _TRUE_) { pvecback[pba->index_bg_rho_lambda] = pba->Omega0_lambda * pow(pba->H0,2); +/**NonLocal*/ rho_H += pvecback[pba->index_bg_rho_lambda]; +/**NonLocal*/ p_H -= pvecback[pba->index_bg_rho_lambda]; rho_tot += pvecback[pba->index_bg_rho_lambda]; p_tot -= pvecback[pba->index_bg_rho_lambda]; } @@ -395,6 +436,8 @@ int background_functions( pvecback[pba->index_bg_rho_fld] = pba->Omega0_fld * pow(pba->H0,2) / pow(a_rel,3.*(1.+pba->w0_fld+pba->wa_fld)) * exp(3.*pba->wa_fld*(a_rel-1.)); +/**NonLocal*/ rho_H += pvecback[pba->index_bg_rho_fld]; +/**NonLocal*/ p_H += (pba->w0_fld+pba->wa_fld*(1.-a_rel)) * pvecback[pba->index_bg_rho_fld]; rho_tot += pvecback[pba->index_bg_rho_fld]; p_tot += (pba->w0_fld+pba->wa_fld*(1.-a_rel)) * pvecback[pba->index_bg_rho_fld]; } @@ -402,20 +445,74 @@ int background_functions( /* relativistic neutrinos (and all relativistic relics) */ if (pba->has_ur == _TRUE_) { pvecback[pba->index_bg_rho_ur] = pba->Omega0_ur * pow(pba->H0,2) / pow(a_rel,4); +/**NonLocal*/ rho_H += pvecback[pba->index_bg_rho_ur]; +/**NonLocal*/ p_H += (1./3.) * pvecback[pba->index_bg_rho_ur]; rho_tot += pvecback[pba->index_bg_rho_ur]; p_tot += (1./3.) * pvecback[pba->index_bg_rho_ur]; rho_r += pvecback[pba->index_bg_rho_ur]; } + + /**NonLocal H, H', rho_nlde, p_nlde, Omega_nlde*/ + if(pba->model == 1.){ + pvecback[pba->index_bg_H]=(3.*(pba->gnl)*Vnl_prime/a+sqrt(pow(3.*(pba->gnl)*Vnl_prime/a,2)+(1.-3.*(pba->gnl)*Vnl)*(2.*(pba->gnl)*(pow(Unl*(pba->H0),2)/2.-Vnl_prime*Unl_prime/a/a)+ 4.*rho_H)))/(2.*(1.-3.*(pba->gnl)*Vnl)); + pvecback[pba->index_bg_H_prime] = -(3./2.)*a*pow(pvecback[pba->index_bg_H],2)+(-(3./2.)*(p_H)*a+3.*(pba->gnl)*(a*pow(Unl*(pba->H0),2)/2.+ 2.*pvecback[pba->index_bg_H]*Vnl_prime+Vnl_prime*Unl_prime/a+2.*(Unl*pow(pba->H0,2)*a-2.*pvecback[pba->index_bg_H]*Vnl_prime))/4.)/(1.-3.*(pba->gnl)*Vnl); + pvecback[pba->index_bg_rho_nlde] = (pba->gnl)*(pow(Unl*(pba->H0),2)/2.+ 6.*pvecback[pba->index_bg_H]*Vnl_prime/a-Vnl_prime*Unl_prime/a/a)/2.+ 3.*(pba->gnl)*Vnl*pow(pvecback[pba->index_bg_H],2); + pvecback[pba->index_bg_p_nlde] = -(pba->gnl)*(pow(Unl*(pba->H0),2)/2.+ 2.*pvecback[pba->index_bg_H]*Vnl_prime/a+Vnl_prime*Unl_prime/a/a+2.*(Unl*pow(pba->H0,2)*a*a-2.*a*pvecback[pba->index_bg_H]*Vnl_prime)/a/a)/2.-2.*(pba->gnl)*(3.*pow(pvecback[pba->index_bg_H],2)/2.+pvecback[pba->index_bg_H_prime]/a)*Vnl; + rho_tot+=pvecback[pba->index_bg_rho_nlde]; + p_tot+=pvecback[pba->index_bg_p_nlde]; + } + else if(pba->model == 2.){ + pvecback[pba->index_bg_H]=(pba->gnl)*Vnl*(pba->H0)*(pba->H0)/2./a+sqrt(pow((pba->gnl)*Vnl*(pba->H0)*(pba->H0)/2./a,2)+(pba->gnl)*(Unl-Vnl_prime/a/a)*(pba->H0)*(pba->H0)+ rho_H); + pvecback[pba->index_bg_H_prime] = -(3./2.)*(a*pow(pvecback[pba->index_bg_H],2)+(p_H)*a+(pba->gnl)*(pvecback[pba->index_bg_H]*Vnl-a*Unl)*(pba->H0)*(pba->H0)); + pvecback[pba->index_bg_rho_nlde] = (pba->gnl)*(pvecback[pba->index_bg_H]*Vnl/a + Unl-Vnl_prime/a/a)*(pba->H0)*(pba->H0); + pvecback[pba->index_bg_p_nlde] = (pba->gnl)*(pvecback[pba->index_bg_H]*Vnl/a-Unl)*(pba->H0)*(pba->H0); + rho_tot+=pvecback[pba->index_bg_rho_nlde]; + p_tot+=pvecback[pba->index_bg_p_nlde]; + } + else{ + /** - compute expansion rate H from Friedmann equation: this is the + unique place where the Friedmann equation is assumed. Remember + that densities are all expressed in units of [3c^2/8piG], ie + rho_class = [8 pi G rho_physical / 3 c^2]*/ + pvecback[pba->index_bg_H] = sqrt(rho_tot-pba->K/a/a); + /** - compute derivative of H with respect to conformal time */ + pvecback[pba->index_bg_H_prime] = - (3./2.) * (rho_tot + p_tot) * a + pba->K/a; + } + + +/**NonLocal: now H is determined and rppdot can be computed */ + if (pba->has_ncdm == _TRUE_) { + + /* Loop over species: */ + for(n_ncdm=0; n_ncdmN_ncdm; n_ncdm++){ + + /* function returning background ncdm[n_ncdm] quantities (only + those for which non-NULL pointers are passed) */ + class_call(background_ncdm_momenta(/**NonLocal: modified function*/ + pba->q_ncdm_bg[n_ncdm], + pba->w_ncdm_bg[n_ncdm], + pba->q_size_ncdm_bg[n_ncdm], + pba->M_ncdm[n_ncdm], + pba->factor_ncdm[n_ncdm], + 1./a_rel-1., + NULL, + NULL, + NULL, + NULL, + &rppdot, /**NonLocal*/ + pvecback[pba->index_bg_H], /**NonLocal*/ + &pseudo_p_ncdm), + pba->error_message, + pba->error_message); + + pvecback[pba->index_bg_rppdot_ncdm1+n_ncdm] = rppdot; + + } + } + + - /** - compute expansion rate H from Friedmann equation: this is the - unique place where the Friedmann equation is assumed. Remember - that densities are all expressed in units of [3c^2/8piG], ie - rho_class = [8 pi G rho_physical / 3 c^2] */ - pvecback[pba->index_bg_H] = sqrt(rho_tot-pba->K/a/a); - - /** - compute derivative of H with respect to conformal time */ - pvecback[pba->index_bg_H_prime] = - (3./2.) * (rho_tot + p_tot) * a + pba->K/a; - + /** - compute relativistic density to total density ratio */ pvecback[pba->index_bg_Omega_r] = rho_r / rho_tot; @@ -483,7 +580,7 @@ int background_init( } /* call this function to get rho_ncdm */ - background_ncdm_momenta(pba->q_ncdm_bg[n_ncdm], + background_ncdm_momenta(pba->q_ncdm_bg[n_ncdm],/**NonLocal: modified function, see background.h*/ pba->w_ncdm_bg[n_ncdm], pba->q_size_ncdm_bg[n_ncdm], 0., @@ -493,6 +590,8 @@ int background_init( &rho_ncdm_rel, NULL, NULL, + NULL, /**NonLocal*/ + 0., /**NonLocal*/ NULL); /* inform user of the contribution of each species to @@ -520,20 +619,19 @@ int background_init( } } - /** - if shooting failed during input, catch the error here: */ - class_test(pba->shooting_failed == _TRUE_, - pba->error_message, - "Shooting failed, try optimising input_get_guess(). Error message:\n\n%s", - pba->shooting_error); - /** - assign values to all indices in vectors of background quantities with background_indices()*/ class_call(background_indices(pba), pba->error_message, pba->error_message); /** - control that cosmological parameter values make sense */ + + /**NonLocal*/ + class_test((!(pba->model == 0.))&&(!(pba->model == 1.))&&(!(pba->model == 2.)), + pba->error_message, + "model should be 0,1,or 2 \n",pba->model); - /* H0 in Mpc^{-1} */ + /* H0 in Mpc^{-1} */ class_test((pba->H0 < _H0_SMALL_)||(pba->H0 > _H0_BIG_), pba->error_message, "H0=%g out of bounds (%gH0,_H0_SMALL_,_H0_BIG_); @@ -587,6 +685,76 @@ int background_init( pba->error_message, pba->error_message); + + /**NonLocal recursive methods (secant, and Newtonian as a backup) to find the correct gamma*/ + + double gnlm2=0.; + double gnlm1=_GNL_HI_; + int i_nl=0; + double fm1,fm2; + if (pba->has_nlde == _TRUE_) { + pba->gnl=gnlm2; + class_call(background_solve(ppr,pba), + pba->error_message, + pba->error_message); + fm2=((pba->background_table[(pba->bg_size)*(pba->bt_size - 1)+pba->index_bg_H])-(pba->H0))/(pba->H0); + pba->gnl=gnlm1; + class_call(background_solve(ppr,pba), + pba->error_message, + pba->error_message); + fm1=((pba->background_table[(pba->bg_size)*(pba->bt_size - 1)+pba->index_bg_H])-(pba->H0))/(pba->H0); + while ((fabs(fm1)>_TOLH_) && (i_nl<_MAXS_)) { + pba->gnl=(gnlm2*fm1-gnlm1*fm2)/(fm1-fm2); + if (background_solve(ppr,pba)){ + i_nl = _MAXS_; + pba->gnl=_GNL_HI_/2.; + class_call(background_solve(ppr,pba), + pba->error_message, + pba->error_message); + } + else { + class_call(background_solve(ppr,pba), + pba->error_message, + pba->error_message); + gnlm2=gnlm1; + gnlm1=pba->gnl; + fm2=fm1; + fm1=((pba->background_table[(pba->bg_size)*(pba->bt_size - 1)+pba->index_bg_H])-(pba->H0))/(pba->H0); + i_nl++; + } + }; + if (i_nl < _MAXS_) {printf("after %d secant method steps of nonlocal model %f: gamma nonlocal = %.12e , final H = %e\n",i_nl, pba->model,pba->gnl,pba->background_table[(pba->bg_size)*(pba->bt_size - 1)+pba->index_bg_H]*_c_/1000.); + } + else { + printf("failed to converge after %d secant method steps of model %f, moving now to Newtonian\n",i_nl,pba->model); + gnlm2=0; + gnlm1=_GNL_HI_; + i_nl=0; + while ((fabs(((pba->background_table[(pba->bg_size)*(pba->bt_size - 1)+pba->index_bg_H])-(pba->H0))/(pba->H0))>_TOLH_) && (i_nl<_MAXS_)) { + if (pba->background_table[(pba->bg_size)*(pba->bt_size - 1)+pba->index_bg_H] > pba->H0){ + gnlm1=pba->gnl; + pba->gnl=((pba->gnl)+gnlm2)/2.; + } + else if (pba->background_table[(pba->bg_size)*(pba->bt_size - 1)+pba->index_bg_H] < pba->H0){ + gnlm2=pba->gnl; + pba->gnl=((pba->gnl)+gnlm1)/2.; + }; + class_call(background_solve(ppr,pba), + pba->error_message, + pba->error_message); + i_nl++; + }; + printf("after %d newtonian method steps of R/Box^2 R model: gamma nonlocal = %.12e , final H/c [Mcp^{-1}] = %e\n",i_nl, pba->gnl,pba->background_table[(pba->bg_size)*(pba->bt_size - 1)+pba->index_bg_H]); + } + } + +/**NonLocal verbose part moved here from background_solve*/ + if (pba->background_verbose > 0) { + printf(" -> age = %e Gyr\n",pba->age); + printf(" -> conformal age = %f Mpc\n",pba->conformal_age); + } + + return _SUCCESS_; } @@ -697,6 +865,8 @@ int background_indices( pba->has_fld = _FALSE_; pba->has_ur = _FALSE_; pba->has_curvature = _FALSE_; + /**NonLocal*/ + pba->has_nlde = _FALSE_; if (pba->Omega0_cdm != 0.) pba->has_cdm = _TRUE_; @@ -709,6 +879,10 @@ int background_indices( if (pba->Gamma_dcdm != 0.) pba->has_dr = _TRUE_; } + + /**NonLocal*/ + if (pba->model != 0.) + pba->has_nlde = _TRUE_; if (pba->Omega0_scf != 0.) pba->has_scf = _TRUE_; @@ -754,6 +928,7 @@ int background_indices( class_define_index(pba->index_bg_rho_ncdm1,pba->has_ncdm,index_bg,pba->N_ncdm); class_define_index(pba->index_bg_p_ncdm1,pba->has_ncdm,index_bg,pba->N_ncdm); class_define_index(pba->index_bg_pseudo_p_ncdm1,pba->has_ncdm,index_bg,pba->N_ncdm); +/**NonLocal: derivative of rho+p*/ class_define_index(pba->index_bg_rppdot_ncdm1,pba->has_ncdm,index_bg,pba->N_ncdm); /* - index for dcdm */ class_define_index(pba->index_bg_rho_dcdm,pba->has_dcdm,index_bg,1); @@ -769,6 +944,14 @@ int background_indices( class_define_index(pba->index_bg_ddV_scf,pba->has_scf,index_bg,1); class_define_index(pba->index_bg_rho_scf,pba->has_scf,index_bg,1); class_define_index(pba->index_bg_p_scf,pba->has_scf,index_bg,1); + +/**NonLocal indices for non local fields*/ + class_define_index(pba->index_bg_U_nlde,pba->has_nlde,index_bg,1); + class_define_index(pba->index_bg_U_prime_nlde,pba->has_nlde,index_bg,1); + class_define_index(pba->index_bg_V_nlde,pba->has_nlde,index_bg,1); + class_define_index(pba->index_bg_V_prime_nlde,pba->has_nlde,index_bg,1); + class_define_index(pba->index_bg_rho_nlde,pba->has_nlde,index_bg,1); + class_define_index(pba->index_bg_p_nlde,pba->has_nlde,index_bg,1); /* - index for Lambda */ class_define_index(pba->index_bg_rho_lambda,pba->has_lambda,index_bg,1); @@ -846,6 +1029,13 @@ int background_indices( /* End of {B} variables, now continue with {C} variables */ pba->bi_B_size = index_bi; + +/**NonLocal U,U',V,V' indices*/ + class_define_index(pba->index_bi_U_nlde,pba->has_nlde,index_bi,1); + class_define_index(pba->index_bi_V_nlde,pba->has_nlde,index_bi,1); + class_define_index(pba->index_bi_U_prime_nlde,pba->has_nlde,index_bi,1); + class_define_index(pba->index_bi_V_prime_nlde,pba->has_nlde,index_bi,1); + /* -> proper time (for age of the Universe) */ class_define_index(pba->index_bi_time,_TRUE_,index_bi,1); @@ -1251,7 +1441,7 @@ int background_ncdm_init( * */ -int background_ncdm_momenta( +int background_ncdm_momenta(/**NonLocal: modified*/ /* Only calculate for non-NULL pointers: */ double * qvec, double * wvec, @@ -1263,6 +1453,8 @@ int background_ncdm_momenta( double * rho, // density double * p, // pressure double * drho_dM, // d rho / d M used in next function + double * rppdot, /**NonLocal: derivative of rho+p as extra output*/ + double H, /**NonLocal: H needed as input*/ double * pseudo_p // pseudo-p used in ncdm fluid approx ) { @@ -1280,6 +1472,7 @@ int background_ncdm_momenta( if (p!=NULL) *p = 0.; if (drho_dM!=NULL) *drho_dM = 0.; if (pseudo_p!=NULL) *pseudo_p = 0.; + if (rppdot!=NULL) *rppdot = 0.; /**NonLocal*/ /** - loop over momenta */ for (index_q=0; index_qH0*pba->H0*pba->Omega0_ncdm[n_ncdm]; /*Remember that rho is defined such that H^2=sum(rho_i) */ M = 0.0; - background_ncdm_momenta(pba->q_ncdm_bg[n_ncdm], + background_ncdm_momenta(pba->q_ncdm_bg[n_ncdm],/**NonLocal: modified*/ pba->w_ncdm_bg[n_ncdm], pba->q_size_ncdm_bg[n_ncdm], M, @@ -1338,6 +1533,8 @@ int background_ncdm_M_from_Omega( &rho, NULL, NULL, + NULL,/**NonLocal*/ + 0., /**NonLocal*/ NULL); /* Is the value of Omega less than a massless species?*/ @@ -1350,7 +1547,7 @@ int background_ncdm_M_from_Omega( for (iter=1; iter<=maxiter; iter++){ /* Newton iteration. First get relevant quantities at M: */ - background_ncdm_momenta(pba->q_ncdm_bg[n_ncdm], + background_ncdm_momenta(pba->q_ncdm_bg[n_ncdm],/**NonLocal: modified*/ pba->w_ncdm_bg[n_ncdm], pba->q_size_ncdm_bg[n_ncdm], M, @@ -1360,6 +1557,8 @@ int background_ncdm_M_from_Omega( &rho, NULL, &drhodM, + NULL, /**NonLocal*/ + 0., /**NonLocal*/ NULL); deltaM = (rho0-rho)/drhodM; /* By definition of the derivative */ @@ -1646,10 +1845,12 @@ int background_solve( /(7./8.*pow(4./11.,4./3.)*pba->background_table[pba->index_bg_rho_g]); /** - done */ - if (pba->background_verbose > 0) { - printf(" -> age = %f Gyr\n",pba->age); - printf(" -> conformal age = %f Mpc\n",pba->conformal_age); - } + + /**NonLocal this part moved in background_init- done + if (pba->background_verbose > 0) { + printf(" -> age = %e Gyr\n",pba->age); + printf(" -> conformal age = %f Mpc\n",pba->conformal_age); + }*/ if (pba->background_verbose > 2) { if ((pba->has_dcdm == _TRUE_)&&(pba->has_dr == _TRUE_)){ @@ -1729,7 +1930,7 @@ int background_initial_conditions( for (n_ncdm=0; n_ncdmN_ncdm; n_ncdm++) { - class_call(background_ncdm_momenta(pba->q_ncdm_bg[n_ncdm], + class_call(background_ncdm_momenta(pba->q_ncdm_bg[n_ncdm],/**NonLocal: modified*/ pba->w_ncdm_bg[n_ncdm], pba->q_size_ncdm_bg[n_ncdm], pba->M_ncdm[n_ncdm], @@ -1739,6 +1940,8 @@ int background_initial_conditions( &rho_ncdm, &p_ncdm, NULL, + NULL, /**NonLocal*/ + 0., /**NonLocal*/ NULL), pba->error_message, pba->error_message); @@ -1791,6 +1994,15 @@ int background_initial_conditions( pvecback_integration[pba->index_bi_rho_dr] = 0.0; } } + + /**NonLocal: Initial conditions for the auxiliary fields*/ + if(pba->has_nlde == _TRUE_){ + pvecback_integration[pba->index_bi_U_nlde] = pba->U_ini_nlde; + pvecback_integration[pba->index_bi_U_prime_nlde] = pba->U_prime_ini_nlde; + pvecback_integration[pba->index_bi_V_nlde] = pba->V_ini_nlde; + pvecback_integration[pba->index_bi_V_prime_nlde] = pba->V_prime_ini_nlde; + } + /** - fix initial value of \f$ \phi, \phi' \f$ * set directly in the radiation attractor => fixes the units in terms of rho_ur @@ -1901,6 +2113,11 @@ int background_output_titles(struct background * pba, class_store_columntitle(titles,"(.)rho_crit",_TRUE_); class_store_columntitle(titles,"(.)rho_dcdm",pba->has_dcdm); class_store_columntitle(titles,"(.)rho_dr",pba->has_dr); + /**NonLocal*/ + class_store_columntitle(titles,"U",pba->has_nlde); + class_store_columntitle(titles,"U_prime",pba->has_nlde); + class_store_columntitle(titles,"V",pba->has_nlde); + class_store_columntitle(titles,"V_prime",pba->has_nlde); class_store_columntitle(titles,"(.)rho_scf",pba->has_scf); class_store_columntitle(titles,"(.)p_scf",pba->has_scf); @@ -1928,8 +2145,8 @@ int background_output_data( dataptr = data + index_tau*number_of_titles; pvecback = pba->background_table + index_tau*pba->bg_size; storeidx = 0; - - class_store_double(dataptr,pba->a_today/pvecback[pba->index_bg_a]-1.,_TRUE_,storeidx); + + class_store_double(dataptr,(pba->a_today)/pvecback[pba->index_bg_a]-1.,_TRUE_,storeidx); class_store_double(dataptr,pvecback[pba->index_bg_time]/_Gyr_over_Mpc_,_TRUE_,storeidx); class_store_double(dataptr,pba->conformal_age-pvecback[pba->index_bg_conf_distance],_TRUE_,storeidx); class_store_double(dataptr,pvecback[pba->index_bg_H],_TRUE_,storeidx); @@ -1950,8 +2167,13 @@ int background_output_data( class_store_double(dataptr,pvecback[pba->index_bg_rho_crit],_TRUE_,storeidx); class_store_double(dataptr,pvecback[pba->index_bg_rho_dcdm],pba->has_dcdm,storeidx); class_store_double(dataptr,pvecback[pba->index_bg_rho_dr],pba->has_dr,storeidx); - - class_store_double(dataptr,pvecback[pba->index_bg_rho_scf],pba->has_scf,storeidx); + /**NonLocal*/ + class_store_double(dataptr,pvecback[pba->index_bg_U_nlde],pba->has_nlde,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_U_prime_nlde],pba->has_nlde,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_V_nlde],pba->has_nlde,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_V_prime_nlde],pba->has_nlde,storeidx); + + class_store_double(dataptr,pvecback[pba->index_bg_rho_scf],pba->has_scf,storeidx); class_store_double(dataptr,pvecback[pba->index_bg_p_scf],pba->has_scf,storeidx); class_store_double(dataptr,pvecback[pba->index_bg_phi_scf],pba->has_scf,storeidx); class_store_double(dataptr,pvecback[pba->index_bg_phi_prime_scf],pba->has_scf,storeidx); @@ -2059,6 +2281,20 @@ int background_derivs( (2*pvecback[pba->index_bg_H]*y[pba->index_bi_phi_prime_scf] + y[pba->index_bi_a]*dV_scf(pba,y[pba->index_bi_phi_scf])) ; } + +/**NonLocal dynamical equations for auxiliary fields*/ + if (pba->model == 1.){ + dy[pba->index_bi_U_nlde]=y[pba->index_bi_U_prime_nlde]; + dy[pba->index_bi_U_prime_nlde]= -2.*y[pba->index_bi_a]*pvecback[pba->index_bg_H]*y[pba->index_bi_U_prime_nlde]+6.*(y[pba->index_bi_a]*pvecback[pba->index_bg_H_prime]+2.*y[pba->index_bi_a] * y[pba->index_bi_a] * pvecback[pba->index_bg_H] * pvecback[pba->index_bg_H]); + dy[pba->index_bi_V_nlde]=y[pba->index_bi_V_prime_nlde]; + dy[pba->index_bi_V_prime_nlde]= -2.*y[pba->index_bi_a]*pvecback[pba->index_bg_H]*y[pba->index_bi_V_prime_nlde]+y[pba->index_bi_U_nlde]*(pba->H0)*(pba->H0)*y[pba->index_bi_a]*y[pba->index_bi_a]; + } + else if (pba->model == 2.){ + dy[pba->index_bi_U_nlde]=y[pba->index_bi_U_prime_nlde]; + dy[pba->index_bi_U_prime_nlde]= -2.*y[pba->index_bi_a]*pvecback[pba->index_bg_H]*y[pba->index_bi_U_prime_nlde]+6.*(y[pba->index_bi_a]*pvecback[pba->index_bg_H_prime]+2.*y[pba->index_bi_a] * y[pba->index_bi_a] * pvecback[pba->index_bg_H] * pvecback[pba->index_bg_H]); + dy[pba->index_bi_V_nlde]=y[pba->index_bi_V_prime_nlde]; + dy[pba->index_bi_V_prime_nlde]=y[pba->index_bi_a]*y[pba->index_bi_a]*(y[pba->index_bi_U_prime_nlde]+(pvecback[pba->index_bg_H_prime]/y[pba->index_bi_a]+5.*pvecback[pba->index_bg_H] * pvecback[pba->index_bg_H])*y[pba->index_bi_V_nlde]); + } return _SUCCESS_; diff --git a/source/input.c b/source/input.c index 9ebf18115..f54bdcfe3 100755 --- a/source/input.c +++ b/source/input.c @@ -511,8 +511,9 @@ int input_read_parameters( /** - define local variables */ - int flag1,flag2,flag3; - double param1,param2,param3; +/**NonLocal:added flag4 and param4 to read Omega_nlde*/ + int flag1,flag2,flag3,flag4; + double param1,param2,param3,param4; int N_ncdm=0,n,entries_read; int int1,fileentries; double scf_lambda; @@ -589,6 +590,16 @@ int input_read_parameters( /** (a) background parameters */ +/**NonLocal: auxiliary fields initial conditions*/ + pba->U_ini_nlde = 0.; + pba->U_prime_ini_nlde = 0.; + pba->V_ini_nlde = 0.; + pba->U_prime_ini_nlde = 0.; +/**NonLocal: read model flag: 0. -> LCDM, 1. -> RT, 2. -> RR*/ + class_read_double("model",pba->model); + if (pba->model != 0.) + pba->has_nlde = _TRUE_; + /* scale factor today (arbitrary) */ class_read_double("a_today",pba->a_today); @@ -868,7 +879,7 @@ int input_read_parameters( if (pba->m_ncdm_in_eV[n] != 0.0){ /* Case of only mass or mass and Omega/omega: */ pba->M_ncdm[n] = pba->m_ncdm_in_eV[n]/_k_B_*_eV_/pba->T_ncdm[n]/pba->T_cmb; - class_call(background_ncdm_momenta(pba->q_ncdm_bg[n], + class_call(background_ncdm_momenta(pba->q_ncdm_bg[n],/**NonLocal: modified function: see background.h*/ pba->w_ncdm_bg[n], pba->q_size_ncdm_bg[n], pba->M_ncdm[n], @@ -878,6 +889,8 @@ int input_read_parameters( &rho_ncdm, NULL, NULL, + NULL,/**NonLocal*/ + 0.,/**NonLocal*/ NULL), pba->error_message, errmsg); @@ -917,7 +930,7 @@ int input_read_parameters( else if (pba->K < 0.) pba->sgnK = -1; /* Omega_0_lambda (cosmological constant), Omega0_fld (dark energy fluid), - Omega0_scf (scalar field) */ + Omega0_scf (scalar field), Omega0_nlde (dark energy from nonlocal models) */ class_call(parser_read_double(pfc,"Omega_Lambda",¶m1,&flag1,errmsg), errmsg, errmsg); @@ -927,12 +940,50 @@ int input_read_parameters( class_call(parser_read_double(pfc,"Omega_scf",¶m3,&flag3,errmsg), errmsg, errmsg); +/**NonLocal*/ + class_call(parser_read_double(pfc,"Omega_nlde",¶m4,&flag4,errmsg), + errmsg, + errmsg); - class_test((flag1 == _TRUE_) && (flag2 == _TRUE_) && ((flag3 == _FALSE_) || (param3 >= 0.)), +/**NonLocal: modified procedure in the presence of nonlocal dark energy*/ + if(!(pba->model == 0.)){ + if((flag1 == _TRUE_) && (flag4 == _TRUE_)){/**NonLocal DE and cosmological constant specified then one infers Omega_cdm (useful for model comparison in MCMC), DE fluid and scalar field put to zero*/ + pba->Omega0_k = 0.; + pba->K = 0.; + pba->sgnK = 0.; + pba->Omega0_fld= 0.; + pba->Omega0_scf= 0.; + pba->Omega0_lambda= param1; + pba->Omega0_nlde = param4; + pba->Omega0_cdm = 1. - Omega_tot - param1 - param4; /**NonLocal: fill with Omega0_cdm */ + class_test(pba->Omega0_cdm < 0., + errmsg, + "Omega_cdm derived negative.");/**NonLocal: check for positivity of Omega0_cdm for safe background computation*/ + } + if((flag1 == _TRUE_) && (flag4 == _FALSE_)){/**NonLocal DE mixed with just the cosmological constant specified: nonlocal DE will be derived form flatness condition, while DE fluid and scalar field are put to zero*/ + pba->Omega0_k = 0.; + pba->K = 0.; + pba->sgnK = 0.; + pba->Omega0_fld= 0.; + pba->Omega0_scf= 0.; + pba->Omega0_lambda= param1; + pba->Omega0_nlde = 1.- Omega_tot - param1; + } + else if((flag1 == _FALSE_) && (flag4 == _FALSE_)){/**NonLocal: pure nonlocal DE and no cosmological constant, DE fluid and scalar field put to zero*/ + pba->Omega0_k = 0.; + pba->K = 0.; + pba->sgnK = 0.; + pba->Omega0_fld= 0.; + pba->Omega0_scf= 0.; + pba->Omega0_nlde = 1.- Omega_tot; + } + } + else{ + class_test((flag1 == _TRUE_) && (flag2 == _TRUE_) && ((flag3 == _FALSE_) || (param3 >= 0.)), errmsg, "In input file, either Omega_Lambda or Omega_fld must be left unspecified, except if Omega_scf is set and <0.0, in which case the contribution from the scalar field will be the free parameter."); - /** (flag3 == _FALSE_) || (param3 >= 0.) explained: + /** (flag3 == _FALSE_) || (param3 >= 0.) explained: it means that either we have not read Omega_scf so we are ignoring it (unlike lambda and fld!) OR we have read it, but it had a positive value and should not be used for filling. @@ -1020,6 +1071,7 @@ int input_read_parameters( } } } +} /** (b) assign values to thermodynamics cosmological parameters */ @@ -2574,7 +2626,7 @@ int input_default_params( pba->Omega0_g = (4.*sigma_B/_c_*pow(pba->T_cmb,4.)) / (3.*_c_*_c_*1.e10*pba->h*pba->h/_Mpc_over_m_/_Mpc_over_m_/8./_PI_/_G_); pba->Omega0_ur = 3.046*7./8.*pow(4./11.,4./3.)*pba->Omega0_g; pba->Omega0_b = 0.022032/pow(pba->h,2); - pba->Omega0_cdm = 0.12038/pow(pba->h,2); + pba->Omega0_cdm = 0.; //NonLocal: Om_cdm set to zero by default. Useful for model comparison where Om_cdm is unspecified, and then derived by the filling condition. pba->Omega0_dcdmdr = 0.0; pba->Omega0_dcdm = 0.0; pba->Gamma_dcdm = 0.0; @@ -2601,15 +2653,15 @@ int input_default_params( pba->Omega0_k = 0.; pba->K = 0.; pba->sgnK = 0; - pba->Omega0_lambda = 1.-pba->Omega0_k-pba->Omega0_g-pba->Omega0_ur-pba->Omega0_b-pba->Omega0_cdm-pba->Omega0_ncdm_tot-pba->Omega0_dcdmdr; +/**NonLocal: Omega_Lambda is now an independent variable, so the following line is replaced by the one below; + pba->Omega0_lambda = 1.-pba->Omega0_k-pba->Omega0_g-pba->Omega0_ur-pba->Omega0_b-pba->Omega0_cdm-pba->Omega0_ncdm_tot-pba->Omega0_dcdmdr;*/ + pba->Omega0_lambda = 0.; pba->Omega0_fld = 0.; pba->a_today = 1.; pba->w0_fld=-1.; pba->wa_fld=0.; pba->cs2_fld=1.; - pba->shooting_failed = _FALSE_; - /** - thermodynamics structure */ pth->YHe=_BBN_; diff --git a/source/perturbations.c b/source/perturbations.c index 933324a3e..e0935d07f 100755 --- a/source/perturbations.c +++ b/source/perturbations.c @@ -145,6 +145,19 @@ int perturb_init( if (ppt->perturbations_verbose > 0) printf("Computing sources\n"); } + +/**NonLocal: implemented only in Newtonian gauge*/ + class_test((ppt->gauge == synchronous) && (pba->has_nlde == _TRUE_), + ppt->error_message, + "Nonlocal perturbations not yet implemented in synchronous gauge"); + //has_dcdm; /**< presence of decaying cold dark matter? */ + //has_dr; /**< presence of relativistic decay radiation? */ + //has_scf; /**< presence of a scalar field? */ + //short has_fld; + + //class_test((pba->has_ncdm == _TRUE_) && (pba->has_nlde == _TRUE_), + // ppt->error_message, + // "Nonlocal perturbations not yet implemented in presence of ncdm"); class_test((ppt->gauge == synchronous) && (pba->has_cdm == _FALSE_), ppt->error_message, @@ -2463,6 +2476,10 @@ int perturb_prepare_output(struct background * pba, class_store_columntitle(ppt->scalar_titles, "delta_dr", pba->has_dr); class_store_columntitle(ppt->scalar_titles, "theta_dr", pba->has_dr); class_store_columntitle(ppt->scalar_titles, "shear_dr", pba->has_dr); +/**NonLocal*/ + class_store_columntitle(ppt->scalar_titles,"dU_nlde",pba->has_nlde); + class_store_columntitle(ppt->scalar_titles,"dV_nlde",pba->has_nlde); + if(pba->model == 2.) class_store_columntitle(ppt->scalar_titles,"dZ_nlde",pba->has_nlde); /* Scalar field scf */ class_store_columntitle(ppt->scalar_titles, "delta_scf", pba->has_scf); class_store_columntitle(ppt->scalar_titles, "theta_scf", pba->has_scf); @@ -3020,6 +3037,18 @@ int perturb_vector_init( class_define_index(ppv->index_pt_delta_fld,pba->has_fld,index_pt,1); /* fluid density */ class_define_index(ppv->index_pt_theta_fld,pba->has_fld,index_pt,1); /* fluid velocity */ + +/**NonLocal*/ + if (pba->has_nlde == _TRUE_){ + class_define_index(ppv->index_pt_deltaU_nlde,pba->has_nlde,index_pt,1); + class_define_index(ppv->index_pt_deltaU_prime_nlde,pba->has_nlde,index_pt,1); + class_define_index(ppv->index_pt_deltaV_nlde,pba->has_nlde,index_pt,1); + class_define_index(ppv->index_pt_deltaV_prime_nlde,pba->has_nlde,index_pt,1); + if(pba->model == 2.){ + class_define_index(ppv->index_pt_deltaZ_nlde,pba->has_nlde,index_pt,1); + class_define_index(ppv->index_pt_deltaZ_prime_nlde,pba->has_nlde,index_pt,1); + } + } /* scalar field */ @@ -3427,6 +3456,31 @@ int perturb_vector_init( ppv->y[ppv->index_pt_theta_fld] = ppw->pv->y[ppw->pv->index_pt_theta_fld]; } + + +/**NonLocal*/ + if (pba->has_nlde == _TRUE_) { + + ppv->y[ppv->index_pt_deltaU_nlde] = + ppw->pv->y[ppw->pv->index_pt_deltaU_nlde]; + + ppv->y[ppv->index_pt_deltaU_prime_nlde] = + ppw->pv->y[ppw->pv->index_pt_deltaU_prime_nlde]; + + ppv->y[ppv->index_pt_deltaV_nlde] = + ppw->pv->y[ppw->pv->index_pt_deltaV_nlde]; + + ppv->y[ppv->index_pt_deltaV_prime_nlde] = + ppw->pv->y[ppw->pv->index_pt_deltaV_prime_nlde]; + + if(pba->model == 2.){ + ppv->y[ppv->index_pt_deltaZ_nlde] = + ppw->pv->y[ppw->pv->index_pt_deltaZ_nlde]; + ppv->y[ppv->index_pt_deltaZ_prime_nlde] = + ppw->pv->y[ppw->pv->index_pt_deltaZ_prime_nlde]; + } + } + if (pba->has_scf == _TRUE_) { @@ -4385,6 +4439,19 @@ int perturb_initial_conditions(struct precision * ppr, -a*a* dV_scf(pba,ppw->pvecback[pba->index_bg_phi_scf])*alpha +ppw->pvecback[pba->index_bg_phi_prime_scf]*alpha_prime); } + +/**NonLocal*/ + if (pba->has_nlde == _TRUE_) { + ppw->pv->y[ppw->pv->index_pt_deltaU_nlde] = 0.; + ppw->pv->y[ppw->pv->index_pt_deltaU_prime_nlde] = 0.; + ppw->pv->y[ppw->pv->index_pt_deltaV_nlde] = 0.; + ppw->pv->y[ppw->pv->index_pt_deltaV_prime_nlde] = 0.; + if(pba->model == 2.){ + ppw->pv->y[ppw->pv->index_pt_deltaZ_nlde] = 0.; + ppw->pv->y[ppw->pv->index_pt_deltaZ_prime_nlde] = 0.; + } + + } if ((pba->has_ur == _TRUE_) || (pba->has_ncdm == _TRUE_) || (pba->has_dr == _TRUE_)) { @@ -5050,11 +5117,29 @@ int perturb_einstein( y[ppw->pv->index_pt_phi], which derivative is given by the second equation below (credits to Guido Walter Pettinari). */ +/**NonLocal* modified einstein equations 0i and ij offd*/ + if (pba->model == 0.){ /* equation for psi */ ppw->pvecmetric[ppw->index_mt_psi] = y[ppw->pv->index_pt_phi] - 4.5 * (a2/k2) * ppw->rho_plus_p_shear; /* equation for phi' */ ppw->pvecmetric[ppw->index_mt_phi_prime] = -a_prime_over_a * ppw->pvecmetric[ppw->index_mt_psi] + 1.5 * (a2/k2) * ppw->rho_plus_p_theta; + } + else if (pba->model == 1.){ + /* equation for psi */ + ppw->pvecmetric[ppw->index_mt_psi] = y[ppw->pv->index_pt_phi] +(3.*(pba->gnl)*y[ppw->pv->index_pt_deltaV_nlde]- 4.5 * (a2/k2) * ppw->rho_plus_p_shear)/(1.-3.*(pba->gnl)*(ppw->pvecback[pba->index_bg_V_nlde])); + + /* equation for phi' */ + ppw->pvecmetric[ppw->index_mt_phi_prime] = -a_prime_over_a * ppw->pvecmetric[ppw->index_mt_psi] + (1.5 * (a2/k2) * ppw->rho_plus_p_theta-3.*(pba->gnl)*(y[ppw->pv->index_pt_deltaV_prime_nlde]-(ppw->pvecback[pba->index_bg_V_prime_nlde])*(ppw->pvecmetric[ppw->index_mt_psi])-a_prime_over_a*(y[ppw->pv->index_pt_deltaV_nlde])+((ppw->pvecback[pba->index_bg_U_prime_nlde])*(y[ppw->pv->index_pt_deltaV_nlde])+(ppw->pvecback[pba->index_bg_V_prime_nlde])*(y[ppw->pv->index_pt_deltaU_nlde]))/2.)/2.)/(1.-3.*(pba->gnl)*(ppw->pvecback[pba->index_bg_V_nlde])); + } + else if (pba->model == 2.){ + /* equation for psi */ + ppw->pvecmetric[ppw->index_mt_psi] = y[ppw->pv->index_pt_phi] +3.*(pba->gnl)*y[ppw->pv->index_pt_deltaZ_nlde]*(pba->H0)*(pba->H0)- 4.5 * (a2/k2) * ppw->rho_plus_p_shear; + + /* equation for phi' */ + ppw->pvecmetric[ppw->index_mt_phi_prime] = -a_prime_over_a * ppw->pvecmetric[ppw->index_mt_psi] + 1.5 * (a2/k2) * ppw->rho_plus_p_theta+3.*(pba->gnl)*(a_prime_over_a*y[ppw->pv->index_pt_deltaZ_nlde]-y[ppw->pv->index_pt_deltaZ_prime_nlde]/2.+(ppw->pvecback[pba->index_bg_V_nlde])*(ppw->pvecmetric[ppw->index_mt_psi])/2.-y[ppw->pv->index_pt_deltaV_nlde]/2.)*(pba->H0)*(pba->H0)/2.; + } + /* eventually, infer radiation streaming approximation for gamma and ur (this is exactly the right place to do it @@ -5179,9 +5264,14 @@ int perturb_einstein( if (_tensors_) { - /* single einstein equation for tensor perturbations */ - ppw->pvecmetric[ppw->index_mt_gw_prime_prime] = -2.*a_prime_over_a*y[ppw->pv->index_pt_gwdot]-(k2+2.*pba->K)*y[ppw->pv->index_pt_gw]+ppw->gw_source; - + /* single einstein equation for tensor perturbations */ + ppw->pvecmetric[ppw->index_mt_gw_prime_prime] = -2.*a_prime_over_a*y[ppw->pv->index_pt_gwdot]-(k2+2.*pba->K)*y[ppw->pv->index_pt_gw]+ppw->gw_source; +/**NonLocal*/ + if (pba->model == 1.){ + ppw->pvecmetric[ppw->index_mt_gw_prime_prime] = -2.*a_prime_over_a*y[ppw->pv->index_pt_gwdot]-k2*y[ppw->pv->index_pt_gw]+(3.*(pba->gnl)*(ppw->pvecback[pba->index_bg_V_prime_nlde])*y[ppw->pv->index_pt_gwdot]+ppw->gw_source)/(1.-3.*(pba->gnl)*(ppw->pvecback[pba->index_bg_V_nlde])); + } + else if (pba->model == 2.){ + ppw->pvecmetric[ppw->index_mt_gw_prime_prime] = (-2.*a_prime_over_a+3.*(pba->H0)*(pba->H0)*(pba->gnl)*(ppw->pvecback[pba->index_bg_V_nlde]))*y[ppw->pv->index_pt_gwdot]-k2*y[ppw->pv->index_pt_gw]+ppw->gw_source; } } return _SUCCESS_; @@ -6150,6 +6240,7 @@ int perturb_print_variables(double tau, double delta_dcdm=0.,theta_dcdm=0.; double delta_dr=0.,theta_dr=0.,shear_dr=0., f_dr=1.0; double delta_ur=0.,theta_ur=0.,shear_ur=0.,l4_ur=0.; +/**NonLocal*/ double dU_nlde=0.,dV_nlde=0,dZ_nlde=0.; double delta_rho_scf=0., rho_plus_p_theta_scf=0.; double delta_scf=0., theta_scf=0.; int n_ncdm; @@ -6287,6 +6378,13 @@ int perturb_print_variables(double tau, theta_dr = y[ppw->pv->index_pt_F0_dr+1]*3./4.*k/f_dr; shear_dr = y[ppw->pv->index_pt_F0_dr+2]*0.5/f_dr; } + +/**NonLocal*/ + if (pba->has_nlde == _TRUE_) { + dU_nlde = y[ppw->pv->index_pt_deltaU_nlde]; + dV_nlde = y[ppw->pv->index_pt_deltaV_nlde]; + if(pba->model == 2.) dZ_nlde = y[ppw->pv->index_pt_deltaZ_nlde]; + } if (pba->has_scf == _TRUE_){ if (ppt->gauge == synchronous){ @@ -6403,6 +6501,10 @@ int perturb_print_variables(double tau, class_store_double(dataptr, delta_dr, pba->has_dr, storeidx); class_store_double(dataptr, theta_dr, pba->has_dr, storeidx); class_store_double(dataptr, shear_dr, pba->has_dr, storeidx); +/**NonLocal*/ + class_store_double(dataptr, dU_nlde, pba->has_nlde, storeidx); + class_store_double(dataptr, dV_nlde, pba->has_nlde, storeidx); + if(pba->model == 2.) class_store_double(dataptr, dZ_nlde, pba->has_nlde, storeidx); /* Scalar field scf*/ class_store_double(dataptr, delta_scf, pba->has_scf, storeidx); class_store_double(dataptr, theta_scf, pba->has_scf, storeidx); @@ -6618,6 +6720,8 @@ int perturb_derivs(double tau, /* for use with dcdm and dr */ double f_dr, fprime_dr; + +/**NonLocal*/ double U=0.,V=0.,Uprime=0.,Vprime=0.,phiprimeprime=0.,psiprime=0.,rhopluspsigmaprime=0.,gnl=0.; /** - rename the fields of the input structure (just to avoid heavy notations) */ @@ -6678,6 +6782,13 @@ int perturb_derivs(double tau, a2 = a*a; a_prime_over_a = pvecback[pba->index_bg_H] * a; R = 4./3. * pvecback[pba->index_bg_rho_g]/pvecback[pba->index_bg_rho_b]; + +/**NonLocal*/ + U=pvecback[pba->index_bg_U_nlde]; + Uprime=pvecback[pba->index_bg_U_prime_nlde]; + V=pvecback[pba->index_bg_V_nlde]; + Vprime=pvecback[pba->index_bg_V_prime_nlde]; + gnl=pba->gnl; /** Compute 'generalised cotK function of argument sqrt(|K|)*tau, for closing hierarchy. (see equation 2.34 in arXiv:1305.3261): */ @@ -6853,6 +6964,9 @@ int perturb_derivs(double tau, 0.5*(8./15.*(theta_g+metric_shear) -3./5.*k*s_l[3]/s_l[2]*y[pv->index_pt_l3_g] -pvecthermo[pth->index_th_dkappa]*(2.*y[pv->index_pt_shear_g]-4./5./s_l[2]*P0)); + +/**NonLocal*/ + rhopluspsigmaprime+=(0.5*(8./15.*(theta_g+metric_shear)-3./5.*k*s_l[3]/s_l[2]*y[pv->index_pt_l3_g]-pvecthermo[pth->index_th_dkappa]*(2.*y[pv->index_pt_shear_g]-4./5./s_l[2]*P0)))*4.*pvecback[pba->index_bg_rho_g]/3.-16.*y[pv->index_pt_shear_g]*pvecback[pba->index_bg_rho_g]*a_prime_over_a/3.; /** -----> photon temperature l=3 */ @@ -7072,6 +7186,9 @@ int perturb_derivs(double tau, /** -----> exact ur shear */ dy[pv->index_pt_shear_ur] = 0.5*(8./15.*(y[pv->index_pt_theta_ur]+metric_shear) -3./5.*k*s_l[3]/s_l[2]*y[pv->index_pt_shear_ur+1]); + +/**NonLocal*/ + rhopluspsigmaprime+=(0.5*(8./15.*(y[pv->index_pt_theta_ur]+metric_shear)-3./5.*k*s_l[3]/s_l[2]*y[pv->index_pt_shear_ur+1]))*4.*pvecback[pba->index_bg_rho_ur]/3.-16.*y[pv->index_pt_shear_ur]*pvecback[pba->index_bg_rho_ur]*a_prime_over_a/3.; /** -----> exact ur l=3 */ l = 3; @@ -7101,6 +7218,10 @@ int perturb_derivs(double tau, dy[pv->index_pt_shear_ur] = -3./tau*y[pv->index_pt_shear_ur] +2./3.*(y[pv->index_pt_theta_ur]+metric_shear); + +/**NonLocal*/ + rhopluspsigmaprime+=(-3./tau*y[pv->index_pt_shear_ur]+2./3.*(y[pv->index_pt_theta_ur]+metric_shear))*4.*pvecback[pba->index_bg_rho_ur]/3. + -16.*y[pv->index_pt_shear_ur]*pvecback[pba->index_bg_rho_ur]*a_prime_over_a/3.; } @@ -7110,6 +7231,10 @@ int perturb_derivs(double tau, dy[pv->index_pt_shear_ur] = -3.*a_prime_over_a*y[pv->index_pt_shear_ur] +2./3.*(y[pv->index_pt_theta_ur]+metric_shear); +/**NonLocal*/ + rhopluspsigmaprime+=(-3.*a_prime_over_a*y[pv->index_pt_shear_ur]+2./3.*(y[pv->index_pt_theta_ur]+metric_shear))*4.*pvecback[pba->index_bg_rho_ur]/3. + -16.*y[pv->index_pt_shear_ur]*pvecback[pba->index_bg_rho_ur]*a_prime_over_a/3.; + } @@ -7119,6 +7244,9 @@ int perturb_derivs(double tau, dy[pv->index_pt_shear_ur] = -3./tau*y[pv->index_pt_shear_ur] +2./3.*(y[pv->index_pt_theta_ur]+metric_ufa_class); +/**NonLocal*/ + rhopluspsigmaprime+=(-3./tau*y[pv->index_pt_shear_ur]+2./3.*(y[pv->index_pt_theta_ur]+metric_ufa_class))*4.*pvecback[pba->index_bg_rho_ur]/3. + -16.*y[pv->index_pt_shear_ur]*pvecback[pba->index_bg_rho_ur]*a_prime_over_a/3.; } } @@ -7200,6 +7328,9 @@ int perturb_derivs(double tau, +8.0/3.0*cvis2_ncdm/(1.0+w_ncdm)*s_l[2]*(y[idx+1]+metric_ufa_class); } + +/**NonLocal*/ + rhopluspsigmaprime+=pvecback[pba->index_bg_rppdot_ncdm1+n_ncdm]*y[idx+2]+(rho_ncdm_bg+p_ncdm_bg)*dy[idx+2]; /** -----> jump to next species */ @@ -7250,6 +7381,9 @@ int perturb_derivs(double tau, but with curvature taken into account a la arXiv:1305.3261 */ dy[idx+l] = qk_div_epsilon*y[idx+l-1]-(1.+l)*k*cotKgen*y[idx+l]; + +/**NonLocal*/ + rhopluspsigmaprime += 2.0/3.0*(pba->factor_ncdm[n_ncdm])*pow(pba->a_today/a,4)*q*q*q*q/epsilon*(pba->w_ncdm[n_ncdm][index_q])*((-4.*a_prime_over_a-a2*a_prime_over_a*(pba->M_ncdm[n_ncdm])*(pba->M_ncdm[n_ncdm])/epsilon/epsilon)*y[idx+2]+qk_div_epsilon/5.0*(2*s_l[2]*y[idx+1]-3.*s_l[3]*y[idx+3])-s_l[2]*metric_shear*2./15.*dlnf0_dlnq); /** -----> jump to next momentum bin or species */ @@ -7258,6 +7392,27 @@ int perturb_derivs(double tau, } } } + +/**NonLocal*/ + if (pba->model == 1.){ + psiprime=-metric_continuity/3+(3.*gnl*Vprime*(metric_euler/k2-y[pv->index_pt_phi])-9.*a_prime_over_a*a2*(ppw->rho_plus_p_shear)/k2-4.5*a2*rhopluspsigmaprime/k2+3.*gnl*y[pv->index_pt_deltaV_prime_nlde])/(1.-3.*gnl*V); + phiprimeprime=-(metric_euler*(3.*a_prime_over_a*a_prime_over_a+2.*a*pvecback[pba->index_bg_H_prime])/k2+a_prime_over_a*(-2.*metric_continuity/3.+psiprime)-(metric_euler-k2*y[pv->index_pt_phi])/3.+3.*(gnl*(a2*U*y[pv->index_pt_deltaU_nlde]*(pba->H0)*(pba->H0)/2.-2.*metric_euler*(a2*U*(pba->H0)*(pba->H0)-2.*a_prime_over_a*Vprime)/k2+(2.*metric_continuity/3.-2.*a_prime_over_a*metric_euler/k2-psiprime-metric_euler*Uprime/k2)*Vprime+(-2*a_prime_over_a*y[pv->index_pt_deltaV_prime_nlde]-k2*y[pv->index_pt_deltaV_nlde]+(-metric_continuity+psiprime)*Vprime+2.*metric_euler*U*a2*(pba->H0)*(pba->H0)/k2+y[pv->index_pt_deltaU_nlde]*a2*(pba->H0)*(pba->H0))+a_prime_over_a*y[pv->index_pt_deltaV_prime_nlde]+2.*k2*y[pv->index_pt_deltaV_nlde]/3.+(3.*a_prime_over_a*a_prime_over_a+2.*a*pvecback[pba->index_bg_H_prime])*y[pv->index_pt_deltaV_nlde]+(Uprime*y[pv->index_pt_deltaV_prime_nlde]+Vprime*y[pv->index_pt_deltaU_prime_nlde])/2.)-a2*(ppw->delta_p))/(1.-3.*gnl*V)/2.); + dy[pv->index_pt_deltaU_nlde]=y[pv->index_pt_deltaU_prime_nlde]; + dy[pv->index_pt_deltaU_prime_nlde]=-2.*a_prime_over_a*y[pv->index_pt_deltaU_prime_nlde]-k2*y[pv->index_pt_deltaU_nlde]+(-metric_continuity+psiprime)*Uprime-6*phiprimeprime-6.*a_prime_over_a*(-metric_continuity+psiprime)+2.*(metric_euler-2.*k2*y[pv->index_pt_phi]); + dy[pv->index_pt_deltaV_nlde]=y[pv->index_pt_deltaV_prime_nlde]; + dy[pv->index_pt_deltaV_prime_nlde]=-2.*a_prime_over_a*y[pv->index_pt_deltaV_prime_nlde]-k2*y[pv->index_pt_deltaV_nlde]+(-metric_continuity+psiprime)*Vprime+2.*metric_euler*U*a2*(pba->H0)*(pba->H0)/k2+y[pv->index_pt_deltaU_nlde]*a2*(pba->H0)*(pba->H0); + } + else if (pba->model == 2.){ + psiprime=-metric_continuity/3.-9.*a_prime_over_a*a2*(ppw->rho_plus_p_shear)/k2-4.5*a2*rhopluspsigmaprime/k2+3.*gnl*y[pv->index_pt_deltaZ_prime_nlde]*(pba->H0)*(pba->H0); + phiprimeprime=-(metric_euler*(3.*a_prime_over_a*a_prime_over_a+2.*a*pvecback[pba->index_bg_H_prime])/k2+a_prime_over_a*(-2.*metric_continuity/3.+psiprime)-(metric_euler-k2*y[pv->index_pt_phi])/3.+3.*(gnl*(a2*y[pv->index_pt_deltaU_nlde]+metric_euler*a_prime_over_a*V/k2-a_prime_over_a*y[pv->index_pt_deltaV_nlde]-metric_continuity*V/3.-k2*y[pv->index_pt_deltaZ_nlde]/3.)*(pba->H0)*(pba->H0)-a2*(ppw->delta_p))/2.); + dy[pv->index_pt_deltaU_nlde]=y[pv->index_pt_deltaU_prime_nlde]; + dy[pv->index_pt_deltaU_prime_nlde]=-2.*a_prime_over_a*y[pv->index_pt_deltaU_prime_nlde]-k2*y[pv->index_pt_deltaU_nlde]+(-metric_continuity+psiprime)*(Uprime-6.*a_prime_over_a)-6*phiprimeprime+2.*(metric_euler-2.*k2*y[pv->index_pt_phi]); + dy[pv->index_pt_deltaZ_nlde]=y[pv->index_pt_deltaZ_prime_nlde]; + dy[pv->index_pt_deltaZ_prime_nlde]=2.*(3.*a_prime_over_a*a_prime_over_a+a*pvecback[pba->index_bg_H_prime]-k2)*y[pv->index_pt_deltaZ_nlde]-4.*a_prime_over_a*y[pv->index_pt_deltaV_nlde]-y[pv->index_pt_deltaV_prime_nlde]+3.*metric_euler*Vprime/k2+(psiprime-2.*metric_continuity/3)*V+2.*a*a*y[pv->index_pt_deltaU_nlde]; + dy[pv->index_pt_deltaV_nlde]=y[pv->index_pt_deltaV_prime_nlde]; + dy[pv->index_pt_deltaV_prime_nlde]=(5.*a_prime_over_a*a_prime_over_a+a*pvecback[pba->index_bg_H_prime]-k2/2.)*y[pv->index_pt_deltaV_nlde]-k2*y[pv->index_pt_deltaZ_prime_nlde]/2.+2.*a_prime_over_a*k2*y[pv->index_pt_deltaZ_nlde]+a*a*y[pv->index_pt_deltaU_prime_nlde]+a*a*metric_euler*Uprime/k2+Vprime*(psiprime-metric_continuity)+(metric_euler/2.-a_prime_over_a*(psiprime-3.*metric_continuity))*V; + } + /** -> metric */