diff --git a/cosmosis/cosmosis_reaction_module.py b/cosmosis/cosmosis_reaction_module.py index 9c8ea68..05b5226 100644 --- a/cosmosis/cosmosis_reaction_module.py +++ b/cosmosis/cosmosis_reaction_module.py @@ -1,6 +1,4 @@ -import os import numpy as np -import scipy.interpolate from cosmosis.datablock import option_section, names @@ -12,8 +10,14 @@ def setup(options): config = {} config["module"] = pyreact.ReACT() + config["mode"] = options.get_string(option_section, "mode", "f(R)").lower() + if not config["mode"] in ("f(r)", "dgp", "gr"): + raise ValueError(f"ReACT mode {config['mode']} not supported.") + + config["log10_fR0"] = options.get_bool(option_section, "log10_fR0", True) config["verbose"] = options.get_int(option_section, "verbose", 1) config["massloop"] = options.get_int(option_section, "massloop", 30) + config["z_max"] = options.get_double(option_section, "z_max", 2.5) config["reaction_output_section"] = options.get_string(option_section, "reaction_output_section", "reaction") config["linear_matter_power_output_section"] = options.get_string(option_section, "linear_matter_power_output_section", names.matter_power_lin) @@ -25,23 +29,50 @@ def execute(block, config): omega_b = block[names.cosmological_parameters, "omega_b"] sigma_8 = block[names.cosmological_parameters, "sigma_8"] n_s = block[names.cosmological_parameters, "n_s"] - mg1 = block[names.cosmological_parameters, "mg1"] - Pk = block[names.matter_power_lin, "p_k"][0] + fR0 = None + Omega_rc = None + + if config["mode"] == "f(r)": + if config["log10_fR0"]: + fR0 = 10**block[names.cosmological_parameters, "log10_fR0"] + else: + fR0 = block[names.cosmological_parameters, "fR0"] + elif config["mode"] == "dgp": + Omega_rc = block[names.cosmological_parameters, "Omega_rc"] + + Pk = block[names.matter_power_lin, "p_k"] k_h = block[names.matter_power_lin, "k_h"] z = block[names.matter_power_lin, "z"] - # np.savetxt("pofk.txt", Pk) - # np.savetxt("k.txt", k_h) - # np.savetxt("z.txt", z) + z_react = z[z < config["z_max"]] - reaction, pofk_lin = config["module"].compute_reaction( - h, n_s, omega_m, omega_b, sigma_8, mg1, - z, k_h, Pk, is_transfer=False, mass_loop=config["massloop"], + try: + reaction, pofk_lin, sigma_8_MG = config["module"].compute_reaction( + h, n_s, omega_m, omega_b, sigma_8, + z_react, k_h, Pk[0], + model=config["mode"], fR0=fR0, Omega_rc=Omega_rc, + is_transfer=False, mass_loop=config["massloop"], verbose=config["verbose"]) + except: + return 1 + + # Replace linear power spectrum below z_max with MG linear power spectrum + Pk[z < config["z_max"]] = pofk_lin + # Pad the reaction with 1 above z_max + reaction = np.concatenate((reaction, np.ones((np.count_nonzero(z >= config["z_max"]), len(k_h)))), axis=0) block.put_grid(config["reaction_output_section"], "z", z, "k_h", k_h, "reaction", reaction) - block.replace_grid(config["linear_matter_power_output_section"], "z", z, "k_h", k_h, "p_k", pofk_lin) + block.replace_grid(config["linear_matter_power_output_section"], "z", z, "k_h", k_h, "p_k", Pk) + + # Replace sigma8 with MG sigma8 + S8_LCDM = block[names.cosmological_parameters, "S_8"] + + block[names.cosmological_parameters, "sigma_8"] = sigma_8_MG + block[names.cosmological_parameters, "S_8"] = sigma_8_MG*np.sqrt(omega_m/0.3) + + block[names.cosmological_parameters, "sigma_8_LCDM"] = sigma_8 + block[names.cosmological_parameters, "S_8_LCDM"] = S8_LCDM return 0 diff --git a/pyreact/react.py b/pyreact/react.py index 60b1aeb..0cfc015 100644 --- a/pyreact/react.py +++ b/pyreact/react.py @@ -36,8 +36,10 @@ def test_func(self, a): r = f(*array_arg(a)) return r - def compute_reaction(self, h, n_s, omega_m, omega_b, sigma_8, mg1, - z, k, Pk, is_transfer=False, mass_loop=30, + def compute_reaction(self, h, n_s, omega_m, omega_b, sigma_8, + z, k, Pk, + model="f(R)", fR0=None, Omega_rc=None, + is_transfer=False, mass_loop=30, verbose=True): if max(z) > 2.5: @@ -45,7 +47,22 @@ def compute_reaction(self, h, n_s, omega_m, omega_b, sigma_8, mg1, if len(z) > 1 and z[0] > z[-1]: raise ValueError("The z array needs to be ordered from low to high redshift.") - + + if model.lower() == "f(r)": + reaction_model = 2 + modified_gravity_param = fR0 + elif model.lower() == "dgp": + reaction_model = 3 + modified_gravity_param = Omega_rc + elif model.lower() == "gr": + reaction_model = 1 + modified_gravity_param = 0.0 + else: + raise ValueError(f"model '{model}' not supported.") + + if modified_gravity_param is None: + raise ValueError("fR0 or Omega_rc need to be specified.") + f = self.get_function("compute_reaction") f.restype = np.int f.argtypes = [*array_ctype(ndim=1, dtype=np.float64), # P(k, z=0) @@ -59,22 +76,27 @@ def compute_reaction(self, h, n_s, omega_m, omega_b, sigma_8, mg1, ct.POINTER(ct.c_double), # sigma_8 ct.POINTER(ct.c_double), # modified gravity param ct.POINTER(ct.c_int), # mass_loop + ct.POINTER(ct.c_int), # model (1: GR, 2: f(R), 3; DGP) *array_ctype(ndim=2, dtype=np.float64), # reaction (output) *array_ctype(ndim=2, dtype=np.float64), # linear MG power spectrum (output) + np.ctypeslib.ndpointer(ndim=1, dtype=np.float64, flags="C"), # modified sigma_8 storage variable ct.POINTER(ct.c_int), # verbose ] reaction = np.zeros((len(k), len(z)), dtype=Pk.dtype, order="C") p_lin = np.zeros((len(k), len(z)), dtype=Pk.dtype, order="C") + sigma8 = np.zeros(1, dtype=Pk.dtype, order="C") r = f(*array_arg(np.ascontiguousarray(Pk, dtype=np.float64)), *array_arg(np.ascontiguousarray(k, dtype=np.float64)), *array_arg(np.ascontiguousarray(z[::-1], dtype=np.float64)), # ReACT expect z order from high to low ct.c_bool(is_transfer), ct.c_double(h), ct.c_double(n_s), ct.c_double(omega_m), ct.c_double(omega_b), ct.c_double(sigma_8), - ct.c_double(mg1), + ct.c_double(modified_gravity_param), ct.c_int(mass_loop), + ct.c_int(reaction_model), *array_arg(reaction), *array_arg(p_lin), + sigma8, ct.c_int(verbose), ) if r != 0: @@ -82,4 +104,5 @@ def compute_reaction(self, h, n_s, omega_m, omega_b, sigma_8, mg1, error_message = string_type.in_dll(self.lib, "error_message").value.decode() raise RuntimeError(f"ReACT code terminated with an error: {error_message}") # Get into CAMB ordering (z, k), with increasing z - return reaction[:,::-1].T, p_lin[:,::-1].T + #Tilman: to check output of modsig8 + return reaction[:,::-1].T, p_lin[:,::-1].T, sigma8[0] diff --git a/pyreact/react_wrapper.cpp b/pyreact/react_wrapper.cpp index 009ce3d..62bdba5 100644 --- a/pyreact/react_wrapper.cpp +++ b/pyreact/react_wrapper.cpp @@ -31,7 +31,7 @@ extern "C" { #pragma omp critical { snprintf(error_message, truncate, "Reaction error: %s", msg); - printf("%s\n", error_message); + fprintf(stderr, "%s\n", error_message); } } @@ -54,11 +54,13 @@ extern "C" { int* N_z, double* zvals, bool* is_transfer, double* h, double* n_s, double* Omega_m, double* Omega_b, double* sigma_8, - double* mg1, int* mass_loop, + double* mg1, int* mass_loop, int* model, int* N_k_react, int* N_z_react, double* output_react, int* N_k_pl, int* N_z_pl, double* output_pl, + double* modsig8, int* verbose) { + int status = 0; if(*N_k != *N_k_pk || *N_k != *N_k_react || *N_k != *N_k_pl){ react_error("Inconsistency in k array sizes"); return 1; @@ -92,6 +94,8 @@ extern "C" { std::cout<<"sigma_8: " << *sigma_8 << "\n"; std::cout<<"mg1: " << *mg1 << "\n"; std::cout<<"mass loop: " << *mass_loop << "\n"; + std::cout<<"model: " << *model << " (1:GR, 2:f(R), 3:DGP)\n"; + } @@ -136,13 +140,15 @@ extern "C" { /* declare splines */ Spline mysr,mysp,myreact; /*declare variable array*/ - double vars[6]; + double vars[7]; vars[0] = 1.; vars[1] = *Omega_m; vars[2] = *mg1;//pow(10.0,*mg1); // edit this for new mg param vars[3] = 1.; vars[4] = 1.; vars[5] = *mass_loop; + + int mod = *model; // initialise power spectrum normalisation before running 1-loop computations iow.initnorm(vars); @@ -154,7 +160,7 @@ extern "C" { } // 1-loop computations at all redshifts @ k0 - spt.ploop_init(ploopr,ploopp, zvals , *N_z, vars, k0); + spt.ploop_init(ploopr,ploopp, zvals , *N_z, vars, mod, k0); double myscalef[*N_z]; for(int i = 0; i<*N_z ; i++){ @@ -173,8 +179,18 @@ extern "C" { iow.initnorm(vars); // Spherical collapse stuff /// initialise delta_c(M), a_vir(M), delta_avir(M) and v(M) - halo.scol_init(vars); - halo.scol_initp(vars); + status = halo.scol_init(vars,mod); + status |= halo.scol_initp(vars,mod); + + // store modified sigma 8 at z=0 + if(j == *N_z-1) { + modsig8[0] = vars[6]; + } + + if(status != 0) { + react_error("Failed to compute spherical collapse."); + return 1; + } // initialise k_star and mathcal{E} halo.react_init2(vars,mysr,mysp); @@ -196,7 +212,7 @@ extern "C" { for(int i =0; i < *N_k; i ++) { output_react[i*(*N_z)+j] = myreact(kvals[i]); - output_pl[i*(*N_z)+j] = halo.plinear_cosmosis(kvals[i]); + output_pl[i*(*N_z)+j] = pow2(halo.Lin_Grow(kvals[i]))*powerspectrum[i];//halo.plinear_cosmosis(kvals[i]); if(*verbose > 1) { printf(" %e %e %e \n",zvals[j], kvals[i],halo.plinear_cosmosis(kvals[i])); } diff --git a/reactions/.gitignore b/reactions/.gitignore index 6fa587c..50f0cee 100644 --- a/reactions/.gitignore +++ b/reactions/.gitignore @@ -4,6 +4,7 @@ __pycache__ Makefile config.log config.status +config.h libtool *.o @@ -13,8 +14,9 @@ libtool *.la *.lo +include lib src/.deps src/.libs -cosmosis_output \ No newline at end of file +cosmosis_output diff --git a/reactions/config.h b/reactions/config.h deleted file mode 100644 index 3d924a1..0000000 --- a/reactions/config.h +++ /dev/null @@ -1,146 +0,0 @@ -/* config.h. Generated from config.h.in by configure. */ -/* config.h.in. Generated from configure.ac by autoheader. */ - -/* Enable debugging output */ -/* #undef DEBUG */ - -/* Define to 1 if you have the header file. */ -#define HAVE_DLFCN_H 1 - -/* Define to 1 if you don't have `vprintf' but do have `_doprnt.' */ -/* #undef HAVE_DOPRNT */ - -/* Define to 1 if you have the header file. */ -#define HAVE_INTTYPES_H 1 - -/* Define to 1 if you have the `fftw3' library (-lfftw3). */ -#define HAVE_LIBFFTW3 1 - -/* Define to 1 if you have the header file. */ -#define HAVE_LIMITS_H 1 - -/* Define to 1 if your system has a GNU libc compatible `malloc' function, and - to 0 otherwise. */ -#define HAVE_MALLOC 1 - -/* Define to 1 if you have the header file. */ -#define HAVE_MEMORY_H 1 - -/* Define to 1 if you have the `memset' function. */ -#define HAVE_MEMSET 1 - -/* Define to 1 if you have the `pow' function. */ -#define HAVE_POW 1 - -/* Define to 1 if the system has the type `ptrdiff_t'. */ -#define HAVE_PTRDIFF_T 1 - -/* If available, contains the Python version number currently in use. */ -/* #undef HAVE_PYTHON */ - -/* Define to 1 if you have the `sqrt' function. */ -#define HAVE_SQRT 1 - -/* Define to 1 if `stat' has the bug that it succeeds when given the - zero-length file name argument. */ -/* #undef HAVE_STAT_EMPTY_STRING_BUG */ - -/* Define to 1 if stdbool.h conforms to C99. */ -#define HAVE_STDBOOL_H 1 - -/* Define to 1 if you have the header file. */ -#define HAVE_STDINT_H 1 - -/* Define to 1 if you have the header file. */ -#define HAVE_STDLIB_H 1 - -/* Define to 1 if you have the `strerror' function. */ -#define HAVE_STRERROR 1 - -/* Define to 1 if you have the header file. */ -#define HAVE_STRINGS_H 1 - -/* Define to 1 if you have the header file. */ -#define HAVE_STRING_H 1 - -/* Define to 1 if you have the `strtol' function. */ -#define HAVE_STRTOL 1 - -/* Define to 1 if you have the header file. */ -#define HAVE_SYS_STAT_H 1 - -/* Define to 1 if you have the header file. */ -#define HAVE_SYS_TYPES_H 1 - -/* Define to 1 if you have the header file. */ -#define HAVE_UNISTD_H 1 - -/* Define to 1 if you have the `vprintf' function. */ -#define HAVE_VPRINTF 1 - -/* Define to 1 if the system has the type `_Bool'. */ -#define HAVE__BOOL 1 - -/* Define to 1 if `lstat' dereferences a symlink specified with a trailing - slash. */ -/* #undef LSTAT_FOLLOWS_SLASHED_SYMLINK */ - -/* Define to the sub-directory in which libtool stores uninstalled libraries. - */ -#define LT_OBJDIR ".libs/" - -/* Ignore assert statements */ -/* #undef NDEBUG */ - -/* Name of package */ -#define PACKAGE "copter" - -/* Define to the address where bug reports for this package should be sent. */ -#define PACKAGE_BUGREPORT "jwgcarlson AT berkeley.edu" - -/* Define to the full name of this package. */ -#define PACKAGE_NAME "Copter" - -/* Define to the full name and version of this package. */ -#define PACKAGE_STRING "Copter 0.8.7" - -/* Define to the one symbol short name of this package. */ -#define PACKAGE_TARNAME "copter" - -/* Define to the home page for this package. */ -#define PACKAGE_URL "" - -/* Define to the version of this package. */ -#define PACKAGE_VERSION "0.8.7" - -/* Define to 1 if you have the ANSI C header files. */ -#define STDC_HEADERS 1 - -/* Enable verbose output */ -/* #undef VERBOSE */ - -/* Version number of package */ -#define VERSION "0.8.7" - -/* Define to empty if `const' does not conform to ANSI C. */ -/* #undef const */ - -/* Define to `__inline__' or `__inline' if that's what the C compiler - calls it, or to nothing if 'inline' is not supported under any name. */ -#ifndef __cplusplus -/* #undef inline */ -#endif - -/* Define to the type of a signed integer type of width exactly 64 bits if - such a type exists and the standard includes do not define it. */ -/* #undef int64_t */ - -/* Define to rpl_malloc if the replacement function should be used. */ -/* #undef malloc */ - -/* Define to `unsigned int' if does not define. */ -/* #undef size_t */ - -/* Define to empty if the keyword `volatile' does not work. Warning: valid - code using `volatile' can become incorrect without. Disable with care. */ -/* #undef volatile */ diff --git a/reactions/examples/a.out b/reactions/examples/a.out new file mode 100755 index 0000000..6ddc34c Binary files /dev/null and b/reactions/examples/a.out differ diff --git a/reactions/examples/bs.cpp b/reactions/examples/bs.cpp index b27b59a..18937a3 100644 --- a/reactions/examples/bs.cpp +++ b/reactions/examples/bs.cpp @@ -65,13 +65,15 @@ int main() { vars[2] = 1e-5; vars[3] = 2.; + // model; 1: GR, 2: f(R) Hu Sawicki, n=1 3: DGP normal branch + int model = 1; // initialise GR lin growth for PS normalisation -iow.inite2(vars[0],vars[1],vars[2], 1.,1.); +iow.inite2(vars[0],vars[1],vars[2], 1.,1.,model); spt.remp(fl_spt); // initialise fitting function params (n_effective, k_nl, sigma_8) bspt.mypspline(vars[0],vars[1],1); double vars2[9]; - + // redefine inputs (should fix this!) // 0 = omega0, 1 = mg1, 2=mg2, 3=mg3, 4=a, 5= 1 for DGP, 2 for Hu-Sawicki, // 6 = integration accuracy, 7,8 = ODE solver absolute and relative accuracy @@ -99,7 +101,7 @@ vars2[8] = 1e-3; double mu = -0.5; // cosine of angle between k and k1 double k1 = k; - b1 = bspt.Btreen(vars2,k,k1,mu); // numerically computed tree level + b1 = bspt.Btreen(vars2,k,k1,mu); // numerically computed tree level b2 = bspt.Bloopn(vars2,k,k1,mu); //numerically computed b3 = bspt.Bloop(1,k,k1,mu); //EdS approximated GR spectrum b4 = bspt.Bfit(k,k1,mu); // Gil-Marin/Namikawa et al fitting formula (GR and DGP only) diff --git a/reactions/examples/halo_ps.cpp b/reactions/examples/halo_ps.cpp index 6a9029d..19c30a2 100644 --- a/reactions/examples/halo_ps.cpp +++ b/reactions/examples/halo_ps.cpp @@ -34,14 +34,16 @@ int main(int argc, char* argv[]) { const char* cstr = "transfers/dgp"; // 0: scale factor, 1: omega_total, 2-4: mg param (1e-10 ~ GR for default mg functions ), 5: number of points in halo-mass loop in scol_init , 30 works well. -double vars[6]; +double vars[7]; vars[0] = 1.; vars[1] = 0.3072; - vars[2] = 1e-5; + //vars[2] = 1e-5; + vars[2] = 0.1; vars[3] = 1.; vars[4] = 1.; vars[5] = 30.; + int model = 3; /* Open output file */ FILE* fp = fopen(output, "w"); @@ -63,9 +65,9 @@ double vars[6]; // initialise wCDM/LCDM lin growth for PS normalisation iow.initnorm(vars); /// initialise delta_c(M), a_vir(M), delta_avir(M) and v(M) -halo.scol_init(vars); -halo.scol_initp(vars); -halo.react_init(vars); +halo.scol_init(vars,model); +halo.scol_initp(vars,model); +halo.react_init(vars,model); //#pragma omp parallel for int Nk =100; diff --git a/reactions/examples/spt.cpp b/reactions/examples/spt.cpp index 67678f7..bd339fd 100644 --- a/reactions/examples/spt.cpp +++ b/reactions/examples/spt.cpp @@ -66,9 +66,12 @@ vars[1] = 0.24; // omega_matter vars[2] = 1e-14; // mg param 1 (fr0, omega_rc, w0 --- see src/SpecialFunctions.cpp) vars[3] = 1.; // mg param 2 (unused) vars[4] = 1.;// mg param 3 (unused) +// model; 1: GR, 2: f(R) Hu Sawicki, n=1 3: DGP normal branch +int model=1; + // normalise the growth -iow.inite(vars[0],vars[1],vars[2],vars[3],vars[4]); +iow.inite(vars[0],vars[1],vars[2],vars[3],vars[4],model); spt.remp(fl_spt); @@ -88,11 +91,11 @@ for(int i =0; i -#include -#include "SpecialFunctions.h" - - -// NUMERICAL KERNELS ///// - -/// CREATION OF KERNEL ARRAYS //// - -//Kernel array sizes - -// 1st ORDER -extern double F1b_k1; -extern double G1b_k1; -extern double F1b_k2; -extern double G1b_k2; -extern double F1b_k3; -extern double G1b_k3; - -extern double F1b_1; -extern double G1b_1; - -extern double F1b_2; -extern double G1b_2; - -extern double F1b_3; -extern double G1b_3; - - -// 2nd order -extern double F2b_k12; -extern double G2b_k12; -extern double F2b_k13; -extern double G2b_k13; -extern double F2b_k23; -extern double G2b_k23; - -extern double F2b_p2mp; -extern double G2b_p2mp; - -extern double F2b_p3mp; -extern double G2b_p3mp; - -extern double F2b_12a; -extern double G2b_12a; - -extern double F2b_13a; -extern double G2b_13a; - -extern double F2b_23a; -extern double G2b_23a; - -// 3rd order - -extern double F3b_12mp; -extern double G3b_12mp; - -extern double F3b_13mp; -extern double G3b_13mp; - -extern double F3b_21mp; -extern double G3b_21mp; - -extern double F3b_23mp; -extern double G3b_23mp; - -extern double F3b_31mp; -extern double G3b_31mp; - -extern double F3b_32mp; -extern double G3b_32mp; - -extern double F3b_1pp; -extern double G3b_1pp; - -extern double F3b_2pp; -extern double G3b_2pp; - -extern double F3b_3pp; -extern double G3b_3pp; - -// 4th order -extern double F4b_12pp; -extern double G4b_12pp; - -extern double F4b_13pp; -extern double G4b_13pp; -extern double F4b_23pp; -extern double G4b_23pp; - -const double myh0sqr = pow2(1./2997.92); - - -class BSPTN { -public: - // tree level equation solvers : dgp, f(R) - void initnb0_dgp(double A, double k[], double x[], double kargs[], double omega0, double par1, double par2, double par3); - void initnb0_fofr(double A, double k[], double x[], double kargs[], double omega0, double par1, double par2, double par3); - - // 1-loop level equation solvers : dgp, f(R) - void initnb1_dgp(double A, double k[], double x[], double kargs[], double omega0, double par1, double par2, double par3, double epars[]); - void initnb1_fr(double A, double k[], double x[], double kargs[], double omega0, double par1, double par2, double par3, double epars[]); - -}; - -#endif // BSPTN_H diff --git a/reactions/include/Copter/Closure.h b/reactions/include/Copter/Closure.h deleted file mode 100644 index a9b5c52..0000000 --- a/reactions/include/Copter/Closure.h +++ /dev/null @@ -1,109 +0,0 @@ -#ifndef CLOSURE_H -#define CLOSURE_H - -#include "Common.h" -#include "GrowthFunction.h" -#include "MonteCarlo.h" -#include "PowerSpectrum.h" -#include "Spline.h" -#include "array.h" - - -/****************************************************************************** - * Closure - * - * Taruya and Hiramatsu's closure theory - ******************************************************************************/ -class Closure { -public: - Closure(const Cosmology& C, const PowerSpectrum& P_i, real z_i, real z, int Neta, int Nk = 1000, real kcut = 10.); - ~Closure(); - - static real U(real x); - - /* Nonlinear propagator */ - void ComputeG_ab(real k, real eta1, real eta2, real& g11, real& g12, real& g21, real& g22) const; - - /* Accessor functions for interpolated propagator */ - real G_11(real k, int t = -1, int tp = 0) const; - real G_12(real k, int t = -1, int tp = 0) const; - real G_21(real k, int t = -1, int tp = 0) const; - real G_22(real k, int t = -1, int tp = 0) const; - real G_1(real k, int t = -1) const; - real G_2(real k, int t = -1) const; - - /* Tree-level power spectrum */ - real P1(real k, int a = 1, int b = 1) const; - real P1_11(real k) const; - real P1_12(real k) const; - real P1_22(real k) const; - - /* 1-loop contribution to PS */ - real P2(real k, int a = 1, int b = 1) const; - real P2_11(real k) const; - real P2_12(real k) const; - real P2_22(real k) const; - - /* 2-loop contribution to PS */ - real P3(real k, int a = 1, int b = 1) const; - real P3_11(real k) const; - real P3_12(real k) const; - real P3_22(real k) const; - - /* Linear PS */ - real P_L(real k) const; - -protected: - const Cosmology& C; - const PowerSpectrum& P_i; // linear PS at z = z_i - real z_i; // initial redshift - real z; // redshift at which to evaluate PS - GrowthFunction D; - - int Neta; // number of time divisions for interpolated propagators - int Nk; // number of k-values for interpolated propagators - vector g11, g12, g21, g22; // nonlinear propagator - real deta; - real kcut; - - void PrecomputePropagator(); - - /* Renormalized propagator factors */ - real G_alpha(real eta, real etap = 0) const; - real G_beta_g(real eta, real etap = 0) const; - real G_beta_d(real eta, real etap = 0) const; - real G_gamma_g(real eta, real etap = 0) const; - real G_gamma_d(real eta, real etap = 0) const; - real G_delta(real eta, real etap = 0) const; - real G_f(real k) const; - real G_g(real k) const; - real G_h(real k) const; - real G_i(real k) const; - - /* Vertices */ - static real alpha(real k, real q, real r); - static real beta(real k, real q, real r); - - /* Mode-coupling integrands */ -// real f2_11(real k, real q, real x) const; -// real f2_12(real k, real q, real x) const; -// real f2_22(real k, real q, real x) const; - real F2_11(real k, real x, real y) const; - real F2_12(real k, real x, real y) const; - real F2_22(real k, real x, real y) const; - - struct ThirdOrderIntegral : public MonteCarloIntegral { - ThirdOrderIntegral(const Closure& closure); - virtual void Integrand(const double x[], double* f, double* param) const; - - const Closure& closure; - } p3int; - - /* Mode-coupling integral factors */ - real I_1(real k, real q, real kq, int t = -1) const; - real I_2(real k, real q, real kq, int t = -1) const; - real J_1(real k, real p, real kp, real q, real pq, int t = -1) const; - real J_2(real k, real p, real kp, real q, real pq, int t = -1) const; -}; - -#endif // CLOSURE_H diff --git a/reactions/include/Copter/Common.h b/reactions/include/Copter/Common.h deleted file mode 100644 index 9047475..0000000 --- a/reactions/include/Copter/Common.h +++ /dev/null @@ -1,65 +0,0 @@ -#ifndef COMMON_H -#define COMMON_H - -#ifndef NULL -#define NULL 0 -#endif - -#include - -/* Type definitions */ -typedef double real; -typedef unsigned char uchar; -typedef unsigned short ushort; -typedef unsigned int uint; -typedef unsigned long ulong; - -/* Forward declarations of generic classes */ -class CorrelationFunction; -class Cosmology; -class Datafile; -class PowerSpectrum; -class Spline; -class Timer; -class array; -class pstring; - -/* Convenient print functions (that flush the buffer afterwards) */ -// Print to stdout -void info(const char* format, ...); -// Print to stdout if VERBOSE is defined. -void verbose(const char* format, ...); -// Print to stdout if DEBUG is defined. -void debug(const char* format, ...); -// Print to stderr. -void warning(const char* format, ...); -// Print to stderr and abort. -void error(const char* format, ...); - -/* Physical constants in SI units */ -namespace Constants { - const real second = 1; - const real meter = 1; - const real km = 1000 * meter; - const real Mpc = 3.08568025e19 * km; - - const real c = 299792458; // speed of light - const real G = 6.67428e-11; // Newton's constant - const real hbar = 1.054571628e-34; // Planck's constant (over 2*pi) - const real k = 1.3806504e-23; // Boltzmann constant - - const real t_100 = 3.08568e17; // 1/(100 km/sec/Mpc) in seconds -} - -/***** Math routines *****/ - -/* Small integer powers */ -static inline real pow2(real x) { return x*x; } -static inline real pow3(real x) { return x*x*x; } -static inline real pow4(real x) { return pow2(pow2(x)); } -static inline real pow5(real x) { return x*pow4(x); } -static inline real pow6(real x) { return pow3(pow2(x)); } -static inline real pow7(real x) { return x*pow6(x); } -static inline real pow8(real x) { return pow2(pow4(x)); } - -#endif // COMMON_H diff --git a/reactions/include/Copter/ConsistentSPT.h b/reactions/include/Copter/ConsistentSPT.h deleted file mode 100644 index 5bba213..0000000 --- a/reactions/include/Copter/ConsistentSPT.h +++ /dev/null @@ -1,74 +0,0 @@ -#ifndef CONSISTENT_SPT_H -#define CONSISTENT_SPT_H - -#include "Common.h" -#include "Cosmology.h" -#include "PowerSpectrum.h" -#include "Spline.h" -#include "array.h" - -/* TODO: - * - use eta = log D for the time variable instead of sigma */ - - -/******************************************************************************* - * ConsistentSPT - * - * Power spectrum from 1-loop standard perturbation theory with consistent time - * dependence of higher order terms (i.e. without making the Einstein-de Sitter - * approximation). - ******************************************************************************/ -class ConsistentSPT { -public: - ConsistentSPT(const Cosmology& C, const PowerSpectrum& P0, real z0, real zdefault = 0, real epsrel = 1e-5); - - /* 1-loop power spectrum */ - real P(real k, int a = 1, int b = 1) const; - real P_dd(real k, real z = -1) const; - real P_dt(real k, real z = -1) const; - real P_tt(real k, real z = -1) const; - - /* 1-loop contributions to PS */ - real P22(real k, int a = 1, int b = 1) const; - real P13(real k, int a = 1, int b = 1) const; - - real P22_dd(real k, real z = -1) const; - real P22_dt(real k, real z = -1) const; - real P22_tt(real k, real z = -1) const; - real P13_dd(real k, real z = -1) const; - real P13_dt(real k, real z = -1) const; - real P13_tt(real k, real z = -1) const; - - void ComputeAll(real k, real& p11, real& p22dd, real& p13dd, real& p22tt, real& p13tt, real& p22dt, real& p13dt, real z) const; - - /* Mode-coupling integrals */ - real P_AA(real k) const; - real P_AB(real k) const; - real P_BB(real k) const; - real P_A0A(real k) const; - real P_AA0(real k) const; - real P_A0B(real k) const; - real P_AB0(real k) const; - real P_B0A(real k) const; - real P_B0B(real k) const; - -private: - static const int Nsteps = 10000; - - const Cosmology& C; - const PowerSpectrum& P0; - real a0, r, c0; - real zdefault; - real A; - real epsrel, epsabs; - - /* Time-dependent functions */ - Spline U, VA, VB, WA0A, WAA0, WA0B, WAB0, WB0A, WB0B; - Spline X, YA, YB, ZA0A, ZAA0, ZA0B, ZAB0, ZB0A, ZB0B; - - real sigma(real a) const; - real epsilon(real s) const; - vector dfds(real s, const vector& f); -}; - -#endif // CONSISTENT_SPT_H diff --git a/reactions/include/Copter/CorrelationFunction.h b/reactions/include/Copter/CorrelationFunction.h deleted file mode 100644 index ce52cf8..0000000 --- a/reactions/include/Copter/CorrelationFunction.h +++ /dev/null @@ -1,36 +0,0 @@ -#ifndef CORRELATION_FUNCTION_H -#define CORRELATION_FUNCTION_H -#include "Common.h" -#include "array.h" -#include "SPT.h" -#include "Cosmology.h" - - -/* Compute the quantity - * \xi_l^m(r) = \int_0^\infty \frac{dk}{2\pi^2} k^m j_l(kr) P(k) - * using Simpson's rule. The parameters Nk, kmin, and kmax determine the - * accuracy of the integration. Note that Nk must be even. */ -void ComputeXiLM(int l, int m, const PowerSpectrum& P, - int Nr, const double r[], double xi[], - int Nk = 32768, double kmin = 0., double kmax = 30.); - - -class CorrelationFunction { -public: - CorrelationFunction(const Cosmology& C, const PowerSpectrum& P, real kmin = 1e-3, real kmax = 30.); - - real Evaluate(real r) const; - real operator()(real r) const { return Evaluate(r); } - - array EvaluateMany(const array& r) const; - array operator()(const array& r) const { return EvaluateMany(r); } - - const PowerSpectrum& GetPowerSpectrum() const { return P; } - -protected: - const PowerSpectrum& P; - const Cosmology& C; - real kmin, kmax; -}; - -#endif // CORRELATION_FUNCTION_H diff --git a/reactions/include/Copter/Cosmology.h b/reactions/include/Copter/Cosmology.h deleted file mode 100644 index 41bd1ce..0000000 --- a/reactions/include/Copter/Cosmology.h +++ /dev/null @@ -1,77 +0,0 @@ -/* TODO: - * - generalize description of cosmology (maybe make Cosmology abstract, - * subclassed by LCDMCosmology, etc.) */ - -#ifndef COSMOLOGY_H -#define COSMOLOGY_H - -#include "Common.h" -#include "array.h" - -/****************************************************************************** - * Cosmology - * - * Contains all information needed to specify a cosmology, for the purposes of - * perturbation theory. The necessary parameters (and WMAP7+ values) are - * h, the Hubble parameter today (0.704) - * n, the scalar spectral index (0.963) - * Omega_m, the matter density parameter (0.272) - * Omega_b, the baryon density parameter (0.0456) - * sigma8, the linear power spectrum normalization factor (0.809) - * In addition, in order to compute a realistic linear power spectrum, you must - * specify a transfer function. This is typically provided by a Boltzmann - * code such as CMBFast or CAMB. - * - * In almost all cases you will want to instantiate a Cosmology from file. The - * file format is largely self-explanatory. See data/example.ini for a sample. - ******************************************************************************/ -struct Cosmology { - Cosmology(); - Cosmology(real h, real n, real Omega_m, real Omega_b); - Cosmology(real h, real n, real Omega_m, real Omega_b, real sigma8, const array& ki, const array& Ti); - Cosmology(const char* name); - - void Initialize(real h, real n, real Omega_m, real Omega_b); - void Initialize(const char* name); - void SetTransferFunction(const array& ki, const array& Ti); - void LoadTransferFunction(const char* tkfile, int kcol = 1, int tcol = 2); - void NormalizeTransferFunction(real sigma8); - void CalculateAdditionalParameters(); - - /* Input parameters */ - real h; // Hubble parameter today - real Tcmb; // CMB temperature today - real n; // scalar spectral index - real Omega_m; // matter density parameter today - real Omega_b; // baryon density parameter today - real sigma8; // power spectrum variance smoothed at 8 Mpc/h - array ki; // wavenumbers for transfer function (h/Mpc) - array Ti; // transfer function - - /* Calculated parameters */ - real H0; // Hubble parameter today (H0 = 100*h km/sec/Mpc) - real rho_crit; // critical density today - real Omega_gamma; // photon density parameter - real Omega_nu; // neutrino density parameter - real Omega_r; // radiation (photon + neutrino) density parameter - real Omega_Lambda; // dark energy density parameter - real a_eq; // scale factor at equality - real z_eq; // redshift of equality - real k_eq; - real delta_H; // normalization of linear power spectrum at z = 0 - - /* Hubble parameter at scale factor a */ - real H(real a) const { - return H0 * sqrt(Omega_m/pow3(a) + Omega_Lambda); - } - - /* dH/da */ - real dHda(real a) const { - return -3*pow2(H0)*Omega_m/(2*H(a)*pow4(a)); - } - - /* Print cosmological parameters to stdout */ - void Print(const char* prefix = "") const; -}; - -#endif // COSMOLOGY_H diff --git a/reactions/include/Copter/Datafile.h b/reactions/include/Copter/Datafile.h deleted file mode 100644 index 44e2868..0000000 --- a/reactions/include/Copter/Datafile.h +++ /dev/null @@ -1,88 +0,0 @@ -#ifndef DATAFILE_H -#define DATAFILE_H - -#include -#include - -#include "Common.h" -#include "array.h" -#include "pstring.h" - -/* Datafile - * - * A support class for reading data from file, or writing data to file. A - * "data set" in this context is a 2-D array of real numbers, arranged into - * columns. */ - -class Datafile { -public: - /* Create an empty data set. */ - Datafile(); - - /* Read data from file. */ - Datafile(const char* filename); - - /* Read data from an open file stream. Closes stream when finished. */ - Datafile(FILE* fp); - - virtual ~Datafile(); - - int NumColumns() const { return ncol; } - int NumRows() const { return nrow; } - const char* GetFilename() { return fname; } - - /***** Read mode *****/ - - /* Read data from file. */ - bool Read(const char* filename); - - /* Read data from an open file stream. Closes stream when finished. */ - bool Read(FILE* fp); - - /* Retrieve file metadata */ - const char* GetHeader() const { return header.c_str(); } - const char* GetFooter() const { return footer.c_str(); } - - /* Retrieve data */ - const array& GetColumn(int j) const; - array GetRow(int i) const; - - - /***** Write mode *****/ - - /* Write data to file. */ - bool Write(const char* filename); - - /* Write data to an open file stream. Closes stream when finished. */ - bool Write(FILE* fp) const; - - /* Write data back to the same file that data was read from. */ - bool Write() const; - - /* Set file metadata */ - void SetHeader(const char* s) { header = s; } - void SetFooter(const char* s) { footer = s; } - - /* Add Y as the last column of data. */ - void AddColumn(const array& Y); - - /* Insert Y as column j of the data set. */ - void InsertColumn(const array& Y, int j); - - /* Add X as the last row of data. */ - void AddRow(const array& X); - - /* Insert X as row i of the data set. */ - void InsertRow(const array& X, int i); - -protected: - const char* fname; - pstring header; - pstring footer; - - std::vector columns; - int ncol; - int nrow; -}; - -#endif // DATAFILE_H diff --git a/reactions/include/Copter/FlowingWithTime.h b/reactions/include/Copter/FlowingWithTime.h deleted file mode 100644 index 677830a..0000000 --- a/reactions/include/Copter/FlowingWithTime.h +++ /dev/null @@ -1,47 +0,0 @@ -#ifndef FLOWINGWITHTIME_H -#define FLOWINGWITHTIME_H - -#include "Common.h" -#include "InterpolatedPS.h" -#include "PowerSpectrum.h" -#include "array.h" - -/* Pietroni's time-RG theory - * - * Based on M. Pietroni, "Flowing with time: a new approach to non-linear - * cosmological perturbations", 2008. See Appendix B of that paper for an - * explanation of the code below. */ - - -/* Interpolated power spectrum $P_{ab}(k)$ */ -struct InterpolatedP_ab { - int N; - real ka, kb, p11a, p11b, p12a, p12b, p22a, p22b; - InterpolatedPS P_11, P_12, P_22; - - InterpolatedP_ab(const Cosmology& C, int N, const real* k, const real* p11, const real* p12, const real* p22); - real operator()(int a, int b, real k) const; -}; - - -class FlowingWithTime { -public: - FlowingWithTime(const Cosmology& C, real z_i, const PowerSpectrum& P_i, const array& k); - ~FlowingWithTime(); - - /* Return a list of power spectra, evaluated at z[i] */ - vector CalculateP_ab(int Nz, const real z[]) const; - - real A(const InterpolatedP_ab& P, int a, int c, int d, int b, int e, int f, real k) const; - - vector dXdeta(real eta, vector& X) const; - -protected: - const Cosmology& C; - real a_i; - const PowerSpectrum& P_i; - int Nk; - array k; -}; - -#endif // FLOWINGWITHTIME_H diff --git a/reactions/include/Copter/GrowthFunction.h b/reactions/include/Copter/GrowthFunction.h deleted file mode 100644 index f82d30d..0000000 --- a/reactions/include/Copter/GrowthFunction.h +++ /dev/null @@ -1,34 +0,0 @@ -#ifndef GROWTH_FUNCTION_H -#define GROWTH_FUNCTION_H - -#include - -#include "Common.h" -#include "Cosmology.h" -#include "Spline.h" - -/* Linear growth function, normalized to D=1 at z=0. (Set Dp_i = -1.5 to - * get the decaying mode solution. */ -class GrowthFunction { -public: - GrowthFunction(); - GrowthFunction(const Cosmology& C); - GrowthFunction(const Cosmology& C, real a_i, real Dp_i); - - real Evaluate(real z) const; - real operator()(real z) const { return Evaluate(z); } - - /* Logarithmic growth rate: f = dlogD/dloga */ - real f(real z) const; - -private: - Cosmology C; - - Spline D; // D(a) - Spline dDda; // dD/da - - /* X = (D, dD/da) */ - std::vector dXda(real a, const std::vector& X); -}; - -#endif // GROWTH_FUNCTION_H diff --git a/reactions/include/Copter/HALO.h b/reactions/include/Copter/HALO.h deleted file mode 100644 index f5906d9..0000000 --- a/reactions/include/Copter/HALO.h +++ /dev/null @@ -1,58 +0,0 @@ -#ifndef HALO_H -#define HALO_H -#include "Common.h" - - -// limits on mass exponents -const double Mmax = 18.; -const double Mmin = 8.; - -class HALO { -public: - HALO(const Cosmology& C, const PowerSpectrum& P_l, real epsrel = 1e-4); - - -// initialise spherical collapse quantities - void scol_init(double vars[]) const; - void scol_initp(double vars[]) const; - -// halo model components - double rvirial(double Mvir, double vars[]) const; - double cvirial(double Mvir, double acol) const; - double nvirial(double Mvir, double omega0) const; - -// pseudo components - double rvirialp(double Mvir, double vars[]) const; - double cvirialp(double Mvir, double acol) const; - double nvirialp(double Mvir, double omega0) const; - -// standard FT of NFW - double halo_profileK2(double k,double Rvir, double mycvir) const; // standard FT of NFW - -// halo model power spectra terms - double one_halo(double k, double vars[]) const; - double one_halop(double k, double vars[]) const; - -// reactions - void react_init(double vars[]) const; - void react_init2(double vars[],Spline ploopr, Spline ploopp) const; - double reaction(double k, double vars[]) const; - -// Linear spectrum for CosmoSIS - double plinear_cosmosis(double k) const; - -// extras - // density profile in real and fourier space (see expression in .cpp to edit to desired profile ) - double halo_profileR(double Mvir, double Rvir, double mycvir, double r) const; - // FT of above profile - double halo_profileK(double k, double Mvir, double Rvir, double mycvir) const; // used for general profiles rho(r) - -private: - const Cosmology& C; - const PowerSpectrum& P_l; - real epsrel; - - -} ; - -#endif // HALO diff --git a/reactions/include/Copter/HigherSPT.h b/reactions/include/Copter/HigherSPT.h deleted file mode 100644 index 37bd3f4..0000000 --- a/reactions/include/Copter/HigherSPT.h +++ /dev/null @@ -1,41 +0,0 @@ -/* HigherSPT - * - * The SPT power spectrum to 2 loops and beyond. */ - -#ifndef HIGHER_SPT_H -#define HIGHER_SPT_H - -#include "Common.h" -#include "MonteCarlo.h" - -class HigherSPT { -public: - HigherSPT(const PowerSpectrum& P_L, real qmin = 1e-4, real qmax = 1e2, int order = 3); - - real P1(real k); - real P2(real k, real* P13 = 0, real* P22 = 0); - real P3(real k, real* P15 = 0, real* P24 = 0, real* P33a = 0, real* P33b = 0); - - /* $P(k) = \sum_{n=1}^{order} P^{(n)}(k)$ */ - real P(real k); - -protected: - const PowerSpectrum& P_L; - int order; - - struct P2_Integral : public MonteCarloIntegral { - P2_Integral(const PowerSpectrum& P_L, real qmin, real qmax); - void Integrand(const double x[], double* f, double* param) const; - - const PowerSpectrum& P_L; - } p2int; - - struct P3_Integral : public MonteCarloIntegral { - P3_Integral(const PowerSpectrum& P_L, real qmin, real qmax); - void Integrand(const double x[], double* f, double* param) const; - - const PowerSpectrum& P_L; - } p3int; -}; - -#endif // HIGHER_SPT_H diff --git a/reactions/include/Copter/InterpolatedPS.h b/reactions/include/Copter/InterpolatedPS.h deleted file mode 100644 index f22fecb..0000000 --- a/reactions/include/Copter/InterpolatedPS.h +++ /dev/null @@ -1,41 +0,0 @@ -#ifndef INTERPOLATED_PS_H -#define INTERPOLATED_PS_H - -#include "Cosmology.h" -#include "PowerSpectrum.h" -#include "Spline.h" - - -/********************************************************************** - * InterpolatedPS - * - * Power spectrum interpolated a set of data points. - *********************************************************************/ - -class InterpolatedPS : public PowerSpectrum { -public: - /* Empty constructor */ - InterpolatedPS(); - - /* Guess whether points are logarithmic or linearly spaced */ - InterpolatedPS(const Cosmology& C, const char* filename, int kcol = 1, int pcol = 2); - InterpolatedPS(const Cosmology& C, const array& k, const array& p); - InterpolatedPS(const Cosmology& C, int N, const real* k, const real* p); - - /* Specify logarithmic or linear spacing explicitly */ - InterpolatedPS(const Cosmology& C, const array& k, const array& p, bool logscale); - InterpolatedPS(const Cosmology& C, int N, const real* k, const real* p, bool logscale); - - real Evaluate(real k) const; - const Cosmology& GetCosmology() const; - -private: - const Cosmology* C; - real n; // spectral index - bool logscale; // guess about whether the k-values are logarithmic - real kmin, kmax; // min/max k-values covered by interpolating function - real pmin, pmax; // corresponding P(k) values - Spline interp; // interpolation of data points -}; - -#endif // INTERPOLATED_PS_H diff --git a/reactions/include/Copter/Kaiser.h b/reactions/include/Copter/Kaiser.h deleted file mode 100644 index 08311c3..0000000 --- a/reactions/include/Copter/Kaiser.h +++ /dev/null @@ -1,37 +0,0 @@ -#ifndef KAISER_H -#define KAISER_H - -#include "Common.h" -#include "array.h" - -/* Formulas for Kaiser's linear theory redshift-space power spectrum, and - * Hamilton's corresponding formulas for the redshift-space correlation - * function. */ -class Kaiser { -public: - Kaiser(const Cosmology& C, const PowerSpectrum& P_L, real z); - Kaiser(const PowerSpectrum& P_L, real f); - - /* Redshift-space power spectrum */ - real P_s(real k, real mu) const; - - /* Multipoles of redshift-space power spectrum */ - real PMultipole(int ell, real k) const; - array PMultipole(int ell, const array& k) const; - - /* Multipoles of redshift-space correlation function */ - real XiMultipole(int ell, real r, int Nk = 32768, real kmin = 0, real kmax = 100) const; - array XiMultipole(int ell, const array& r, int Nk = 32768, real kmin = 0, real kmax = 100) const; - -// Spline ComputeP_ell(int ell, real kmin = 1e-4, real kmax = 1e1, int Nk = 1024); -// Spline ComputeXi_ell(int ell, real kmin = 1e-4, real kmax = 1e1, int Nk = 1024); - -// static void ComputeXi_ell(int ell, real f, const array& k, const array& pk, array& r, array& xi); - - -protected: - const PowerSpectrum& P; - real f; -}; - -#endif // KAISER_H diff --git a/reactions/include/Copter/LagrangianResummation.h b/reactions/include/Copter/LagrangianResummation.h deleted file mode 100644 index d6547b0..0000000 --- a/reactions/include/Copter/LagrangianResummation.h +++ /dev/null @@ -1,54 +0,0 @@ -#ifndef LAGRANGIAN_RESUMMATION_H -#define LAGRANGIAN_RESUMMATION_H - -#include "Common.h" -#include "LinearPS.h" - -/******************************************************************************* - * LagrangianResummation - * - * Matsubara's Lagrangian resummation scheme, where the real-space power - * spectrum is given to 1-loop order by - * P(k) = e^{-Ak^2} [P_L(k) + P22(k) + P13(k)]. - * For details see T. Matsubara, arXiv:0711.2521. - ******************************************************************************/ - -class LagrangianResummation { -public: - LagrangianResummation(const Cosmology& C, real z, real epsrel = 1e-4); - ~LagrangianResummation(); - - /* Exponential damping coefficient */ - real A; - -/***** Real space *****/ - - /* 1-loop power spectrum in Lagrangian resummation theory */ - real P(real k) const; - - /* Separate mode-coupling terms */ - real P22(real k) const; - real P13(real k) const; - - /* Nonlinear propagator computed from Lagrangian resummation formalism - * (normalized to 1 on large scales) */ - real G(real k) const; - - -/***** Redshift space *****/ - - /* 1-loop redshift-space power spectrum */ - real Ps(real k, real mu) const; - - /* Angular moment of the 1-loop redshift-space power spectrum */ - real Ps_ell(real k, int ell) const; - -protected: - const Cosmology& C; - real z; - LinearPS P_L; - real epsrel; - real f; -}; - -#endif // LAGRANGIAN_RESUMMATION_H diff --git a/reactions/include/Copter/LargeN.h b/reactions/include/Copter/LargeN.h deleted file mode 100644 index 7501fad..0000000 --- a/reactions/include/Copter/LargeN.h +++ /dev/null @@ -1,46 +0,0 @@ -#ifndef LARGEN_H -#define LARGEN_H - -#include "array.h" -#include "Common.h" -#include "GrowthFunction.h" - - -class LargeN { -public: - /* The time coordinate \eta is defined so that \eta=0 corresponds to redshift z0. - * So z0 should be the redshift at which you want to calculate the power spectrum, - * and P_L0 should be the linear power spectrum at that redshift. */ - LargeN(const Cosmology& C, const PowerSpectrum& P_L0, real z0, real zi, int Neta, real epsrel = 1e-4); - - /* Eq. (60): $\Sigma^+_{0;i_1i_2}(k)$ [use Eq. (61) to get $\Sigma^-$] */ - real Sigma_11(real k) const; - real Sigma_12(real k) const; - real Sigma_21(real k) const; - real Sigma_22(real k) const; - - /* Eq. (66): $\Pi_{0;i_1i_2}(k)$ [note $\Pi_{0;21} = \Pi_{0;12}$] */ - real Pi_11(real k) const; - real Pi_12(real k) const; - real Pi_22(real k) const; - - real P(real k, real z) const; - void P_ab(real k, real z, real& p11, real& p12, real& p22) const; - - /* Computes the response function R_ab(eta1,eta2) (a.k.a. the nonlinear - * propagator) for Neta discrete values eta2 between etai and eta1 */ - void ComputeR(real k, real eta1, int Neta, array& R_11, array& R_12, array& R_21, array& R_22) const; - -protected: - const Cosmology& C; - GrowthFunction D; - const PowerSpectrum& P_L0; - real z0; - real zi; - real etai; - int Neta; - - real epsrel; -}; - -#endif // LARGEN_H diff --git a/reactions/include/Copter/LinearPS.h b/reactions/include/Copter/LinearPS.h deleted file mode 100644 index f8bae21..0000000 --- a/reactions/include/Copter/LinearPS.h +++ /dev/null @@ -1,34 +0,0 @@ -#ifndef LINEAR_PS_H -#define LINEAR_PS_H - -#include "Common.h" -#include "NoWigglePS.h" -#include "PowerSpectrum.h" -#include "Spline.h" - - -/********************************************************************** - * LinearPS - * - * Linear power spectrum interpolated from a transfer function, which is - * presumably calculated from a Boltzmann code. Uses the analytic - * $\ln^2(k)/k^3$ formula at high $k$. - *********************************************************************/ -class LinearPS : public PowerSpectrum { -public: - LinearPS(const Cosmology& C, real z = 0); - - const Cosmology& GetCosmology() const { return C; } - real Evaluate(real k) const; - -private: -// const Cosmology& C; - Cosmology C; - real z; - real k0, p0; // k and P(k) of left-most data point - real k1, p1; // k and P(k) of right-most data point - Spline pk; // spline P(k) based on transfer function - NoWigglePS Pnw; // no-wiggle P(k) for high k -}; - -#endif // LINEAR_PS_H diff --git a/reactions/include/Copter/MonteCarlo.h b/reactions/include/Copter/MonteCarlo.h deleted file mode 100644 index 70a73ab..0000000 --- a/reactions/include/Copter/MonteCarlo.h +++ /dev/null @@ -1,98 +0,0 @@ -#ifndef MONTE_CARLO_H -#define MONTE_CARLO_H - -#include - -#define NBINS 128 -#define DEFAULT_MAXEVAL 100000 -#define DEFAULT_BATCHSIZE 1000 -#define DEFAULT_EPSREL 1e-3 -#define DEFAULT_EPSABS 1e-12 -#define DEFAULT_NSTART 1000 -#define DEFAULT_NINCREASE 1000 - - -/* MonteCarloIntegral - * - * n-dimensional Monte-Carlo integration, based on the implementation of the - * VEGAS importance-sampling algorithm found in the Cuba library. Uses GSL for - * quasi-random number generation. */ - -class MonteCarloIntegral { -public: - struct Range { - double a; - double b; - }; - - /* Initialize integral. - * n is the dimension of the integration region - * m is the number of components of the integrand (m > 1 for vector integrands) - * V is an array of n Range objects specifying the domain of integration */ - MonteCarloIntegral(int n, int m = 1, const Range* V = 0); - - virtual ~MonteCarloIntegral(); - - /* Set domain of integration */ - void SetDomain(const Range* domain); - - /* Evaluate the integrand f(x). Here x is an n-dimensional vector, and f - * is an m-dimensional array. */ - virtual void Integrand(const double x[], double* f, double* param) const = 0; - - /* Evaluate the integral $I = \int f(x) d^nx$ */ - virtual void Integrate(double* I, double* param = 0, double* error = 0, int* neval = 0, double epsrel = 0, double epsabs = 0) const; - -public: - int n; // dimension of integral - int m; // number of components of f(x) - std::vector V; // domain of integration - - /* Parameters */ - int maxeval; // maximum number of evaluations of integrand - int nstart; // number of samples in first iteration - int nincrease; // number of extra samples in each successive iteration - int nbatch; // number of samples per batch (so everything fits in CPU cache) - -protected: - struct Cumulants { - double sum; - double sqsum; - double weightsum; - double avgsum; - double chisum; - double chisqsum; - double guess; - double avg; - double err; - double chisq; - }; - - struct Grid { - double g[NBINS]; - double& operator[](int k) { return g[k]; } - operator double*() { return &g[0]; } - }; - - struct State { - int niter; - int nsamples; - int neval; - std::vector cumul; - std::vector grid; - }; - - static double Weight(double sum, double sqsum, int nsamples); - static void RefineGrid(Grid& grid, Grid& margsum); -}; - -#if 0 -typedef void (*Integrand)(const double x[], double* f, double* param); - -template -void Integrate(Integrand f, const Range[] domain, double* F, double* param = 0, double* error = 0, int* neval = 0) { - MonteCarloIntegral(n, m, domain); -} -#endif - -#endif // MONTE_CARLO_H diff --git a/reactions/include/Copter/NoWigglePS.h b/reactions/include/Copter/NoWigglePS.h deleted file mode 100644 index 518c437..0000000 --- a/reactions/include/Copter/NoWigglePS.h +++ /dev/null @@ -1,37 +0,0 @@ -#ifndef NOWIGGLE_PS_H -#define NOWIGGLE_PS_H - -#include "Common.h" -#include "Cosmology.h" -#include "GrowthFunction.h" -#include "PowerSpectrum.h" - -enum { - EisensteinHu = 0, // Eisenstein & Hu 1998 (astro-ph/9709112) - BBKS, // Bardeen, Bond, Kaiser, Szalay 1986 - EfstathiouBondWhite // Efstathiou, Bond, White 1992 (requires n = 1) -}; - -/********************************************************************** - * NoWigglePS - * - * Parametric power spectrum based on various fits to data/simulations. - *********************************************************************/ -class NoWigglePS : public PowerSpectrum { -public: - NoWigglePS(const Cosmology& C, real z = 0, int formula = EisensteinHu); - - const Cosmology& GetCosmology() const { return C; } - real Evaluate(real k) const; - -private: -// const Cosmology& C; - Cosmology C; - real z; - real Dz; // normalized growth function, D(z)/D(0) - int formula; -}; - -void NoWigglePrintGnuplotFormula(const Cosmology& C, real z = 0, int formula = EisensteinHu); - -#endif // NOWIGGLE_PS_H diff --git a/reactions/include/Copter/ODE.h b/reactions/include/Copter/ODE.h deleted file mode 100644 index afa2c18..0000000 --- a/reactions/include/Copter/ODE.h +++ /dev/null @@ -1,52 +0,0 @@ -#ifndef ODE_H -#define ODE_H - -#include -using std::vector; - -#include "Common.h" - -/****************************************************************************** - * RK4: 4th order Runge-Kutta method. - * Integrates y(t) over the interval [t0,t1] using N fixed time steps of - * the standard Runge-Kutta 4 method. - * - In the first form (for a single dependent variable), dydt must have the signature - * real dydt(real t, real y); - * the returned array gives the solution y(t) evaluated at the fixed times - * t[i] = t0 + i*(t1 - t0)/N. - * - In the second form (for m dependent variables0, dydt must have the signature - * vector dydt(real t, const vector& y); - * the 2-dimensional returned array y[j][i] gives the solutions y_j(t) (1 <= j <= m) - * evaluated at the fixed times - * t[i] = t0 + i*(t1 - t0)/N. - */ - -template -vector RungeKutta4(real t0, real t1, real y0, Function dydx, int N = 1000); - -template -vector > RungeKutta4(real t0, real t1, const vector& y0, Function dydx, int N = 1000); - -/****************************************************************************** - * RKDP: Adaptive Dormand-Prince method. - * Integrates y over the interval [t0,t1], starting with initial value y0. - * - In the first form (for a single dependent variable), dydt must have the signature - * real dydt(real t, real y); - * the output arrays t and y give the solution y(t) over the entire interval [t0,t1]. - * - In the second form (for multiple dependent variables), the signature must be - * vector dydt(real t, const vector& y); - * the output array y1 gives the solution only at the final time t1. - * - Both forms return the number of time steps taken. - * - epsrel is the local error tolerance (global error may be larger, but typically - * of the same order of magnitude). - * - h0 is the initial step size; if set to 0, the initial step size defaults to t1-t0. */ - -template -int RKDP(real t0, real t1, real y0, Function dydt, vector& t, vector& y, real epsrel = 1e-3, real h0 = 0); - -template -int RKDP(real t0, real t1, const vector& y0, Function dydt, vector& y1, real epsrel = 1e-3, real h0 = 0); - -#include "ODE.inl" - -#endif // ODE_H diff --git a/reactions/include/Copter/ODE.inl b/reactions/include/Copter/ODE.inl deleted file mode 100644 index 0aa93d9..0000000 --- a/reactions/include/Copter/ODE.inl +++ /dev/null @@ -1,224 +0,0 @@ -#include - -template -vector RungeKutta4(real t0, real t1, real y0, Function dydt, int N) { - /* Initialize output array */ - vector Y(N+1); - Y[0] = y0; - - real t; - real dt = (t1 - t0)/N; - real k1, k2, k3, k4; - - /* Evolve N steps of Runge-Kutta 4 */ - for(int i = 0; i < N; i++) { - t = t0 + i*dt; - k1 = dydt(t, Y[i]); - k2 = dydt(t + 0.5*dt, Y[i] + 0.5*dt*k1); - k3 = dydt(t + 0.5*dt, Y[i] + 0.5*dt*k2); - k4 = dydt(t + dt, Y[i] + dt*k3); - Y[i+1] = Y[i] + (dt/6)*(k1 + 2*k2 + 2*k3 + k4); - } - - return Y; -} - -template -vector > RungeKutta4(real t0, real t1, const vector& y0, Function dydt, int N) { - int m = (int)y0.size(); - - /* Initialize output array */ - vector > Y(m, vector(N+1)); - for(int j = 0; j < m; j++) - Y[j][0] = y0[j]; - - real t; - real dt = (t1 - t0)/N; - vector k1, k2, k3, k4; - vector y(m); - - /* Evolve N steps of Runge-Kutta 4 */ - for(int i = 0; i < N; i++) { - t = t0 + i*dt; - for(int j = 0; j < m; j++) - y[j] = Y[j][i]; - k1 = dydt(t, y); - for(int j = 0; j < m; j++) - y[j] = Y[j][i] + 0.5*dt*k1[j]; - k2 = dydt(t + 0.5*dt, y); - for(int j = 0; j < m; j++) - y[j] = Y[j][i] + 0.5*dt*k2[j]; - k3 = dydt(t + 0.5*dt, y); - for(int j = 0; j < m; j++) - y[j] = Y[j][i] + dt*k3[j]; - k4 = dydt(t + dt, y); - for(int j = 0; j < m; j++) - Y[j][i+1] = Y[j][i] + (dt/6)*(k1[j] + 2*k2[j] + 2*k3[j] + k4[j]); - } - - return Y; -} - -namespace DormandPrince { - /* Butcher tableau values */ - const real a1 = 1/5., a2 = 3/10., a3 = 4/5., a4 = 8/9., a5 = 1., a6 = 1.; - const real b11 = 1/5., - b21 = 3/40., b22 = 9/40., - b31 = 44/45., b32 = -56/15., b33 = 32/9., - b41 = 19372/6561., b42 = -25360/2187., b43 = 64448/6561., b44 = -212/729., - b51 = 9017/3168., b52 = -355/33., b53 = 46732/5247., b54 = 49/176., b55 = -5103/18656., - b61 = 35/384., b62 = 0., b63 = 500/1113., b64 = 125/192., b65 = -2187/6784., b66 = 11/84.; - const real c1 = 35/384., c2 = 0., c3 = 500/1113., c4 = 125/192., c5 = -2187/6784., c6 = 11/84., c7 = 0.; - const real d1 = 5179/57600., d2 = 0., d3 = 7571/16695., d4 = 393/640., d5 = -92097/339200., d6 = 187/2100., d7 = 1/40.; - const real e1 = c1-d1, e2 = c2-d2, e3 = c3-d3, e4 = c4-d4, e5 = c5-d5, e6 = c6-d6, e7 = c7-d7; -} - -template -int RKDP(real t0, real t1, real y0, Function dydt, vector& t, vector& y, real epsrel, real h0) { - using namespace DormandPrince; - - /* Set initial conditions */ - t.resize(1); - y.resize(1); - t[0] = t0; - y[0] = y0; - - const int maxsteps = 1000000; - const real hmin = 1e-7*(t1 - t0); - - real k1, k2, k3, k4, k5, k6, k7; - real ytmp, yerr, ytol, r; - real h = (h0 > 0) ? h0 : (t1 - t0); - int n = 0; // step number - int neval = 1; // number of derivative evaluations - k1 = dydt(t[0], y[0]); - while(t[n] < t1) { - if(h < hmin) { - warning("RKDP: step size too small: h = %g (after %d steps)\n", h, n+1); - return -1; - } - if(n > maxsteps) { - warning("RKDP: too many steps: n = %d\n", n); - return -1; - } - - k2 = dydt(t[n] + h*a1, y[n] + h*b11*k1); - k3 = dydt(t[n] + h*a2, y[n] + h*(b21*k1 + b22*k2)); - k4 = dydt(t[n] + h*a3, y[n] + h*(b31*k1 + b32*k2 + b33*k3)); - k5 = dydt(t[n] + h*a4, y[n] + h*(b41*k1 + b42*k2 + b43*k3 + b44*k4)); - k6 = dydt(t[n] + h*a5, y[n] + h*(b51*k1 + b52*k2 + b53*k3 + b54*k4 + b55*k5)); - ytmp = y[n] + h*(b61*k1 + b62*k2 + b63*k3 + b64*k4 + b65*k5 + b66*k6); - k7 = dydt(t[n] + h*a6, ytmp); - neval += 6; - - yerr = h*(e1*k1 + e2*k2 + e3*k3 + e4*k4 + e5*k5 + e6*k6 + e7*k7); - ytol = epsrel * (fabs(y[n]) + h*fabs(k1) + 1e-20); - r = fabs(yerr/ytol); - if(r > 1) { - /* Error too large: try smaller h */ - h *= fmax(0.01, 0.8*pow(r, -0.25)); - } - else { - /* Error within tolerance: update result vectors and h */ - t.push_back(t[n] + h); - y.push_back(ytmp); - n++; - - k1 = k7; - h *= fmin(10, 0.8*pow(r, -0.2)); - if(t[n] + h > t1) { // adjust h if the next step would take us past t1 - h = t1 - t[n]; - if(h <= hmin) { // if the new h is very small (e.g. because we did this on the last step) then break - t[n] = t1; - break; - } - } - } - } - - return n+1; -} - -template -int RKDP(real t0, real t1, const vector& y0, Function dydt, vector& y, real epsrel, real h0) { - using namespace DormandPrince; - int m = (int)y0.size(); - if(m > (int)y.size()) - y.resize(m); - - /* Set initial conditions */ - real t = t0; - for(int j = 0; j < m; j++) - y[j] = y0[j]; - - const int maxsteps = 1000000; - const real hmin = 1e-7*(t1 - t0); - - vector k1(m), k2(m), k3(m), k4(m), k5(m), k6(m), k7(m); - vector ytmp = y0; - real yerr, ytol, r; - real h = (h0 > 0) ? h0 : (t1 - t0); - int n = 0; // step number - int neval = 1; // number of derivative evaluations - k1 = dydt(t0, ytmp); - while(t < t1) { - if(h < hmin) { - warning("RKDP: step size too small: h = %g (after %d steps)\n", h, n); - return -1; - } - if(n > maxsteps) { - warning("RKDP: too many steps: n = %d\n", n); - return -1; - } - - for(int j = 0; j < m; j++) - ytmp[j] = y[j] + h*b11*k1[j]; - k2 = dydt(t + h*a1, ytmp); - for(int j = 0; j < m; j++) - ytmp[j] = y[j] + h*(b21*k1[j] + b22*k2[j]); - k3 = dydt(t + h*a2, ytmp); - for(int j = 0; j < m; j++) - ytmp[j] = y[j] + h*(b31*k1[j] + b32*k2[j] + b33*k3[j]); - k4 = dydt(t + h*a3, ytmp); - for(int j = 0; j < m; j++) - ytmp[j] = y[j] + h*(b41*k1[j] + b42*k2[j] + b43*k3[j] + b44*k4[j]); - k5 = dydt(t + h*a4, ytmp); - for(int j = 0; j < m; j++) - ytmp[j] = y[j] + h*(b51*k1[j] + b52*k2[j] + b53*k3[j] + b54*k4[j] + b55*k5[j]); - k6 = dydt(t + h*a5, ytmp); - for(int j = 0; j < m; j++) - ytmp[j] = y[j] + h*(b61*k1[j] + b62*k2[j] + b63*k3[j] + b64*k4[j] + b65*k5[j] + b66*k6[j]); - k7 = dydt(t + h*a6, ytmp); - neval += 6; - - r = 0; - for(int j = 0; j < m; j++) { - yerr = h*(e1*k1[j] + e2*k2[j] + e3*k3[j] + e4*k4[j] + e5*k5[j] + e6*k6[j] + e7*k7[j]); - ytol = epsrel * (fabs(y[j]) + h*fabs(k1[j]) + 1e-20); - r = fmax(r, fabs(yerr/ytol)); - } - if(r > 1) { - /* Error too large: try smaller h */ - h *= fmax(0.1, 0.8*pow(r, -0.25)); - } - else { - /* Error within tolerance: update result vectors and h */ - t += h; - for(int j = 0; j < m; j++) - y[j] = ytmp[j]; - n++; - - k1 = k7; - h *= fmin(10, 0.8*pow(r, -0.2)); - if(t + h > t1) { // adjust h if the next step would take us past t1 - h = t1 - t; - if(h <= hmin) { // if the new h is very small (e.g. because we did this on the last step) then break - t = t1; - break; - } - } - } - } - - return n+1; -} diff --git a/reactions/include/Copter/PowerSpectrum.h b/reactions/include/Copter/PowerSpectrum.h deleted file mode 100644 index 9ff2e06..0000000 --- a/reactions/include/Copter/PowerSpectrum.h +++ /dev/null @@ -1,73 +0,0 @@ -#ifndef POWER_SPECTRUM_H -#define POWER_SPECTRUM_H - -/* Conventions for power spectra: - * - k is measured in h/Mpc - * - P(k) is measured in (Mpc/h)^3 - * - My Fourier conventions are - * \tilde f(k) = \int dx e^{-ikx} f(x) - * f(x) = \int \frac{dk}{2\pi} e^{ikx} \tilde f(k) - * which means P(k) is defined by - * (2\pi)^3 \delta_D(k+k') P(k) = < \delta(k) \delta(k') > - * This differs by (2\pi)^3 from many PT references. */ - -#include "Common.h" -#include "array.h" - - -/********************************************************************** - * PowerSpectrum - * - * Base class for real-space power spectra. - *********************************************************************/ - -class PowerSpectrum { -public: - PowerSpectrum(); - virtual ~PowerSpectrum(); - - virtual const Cosmology& GetCosmology() const = 0; - - /* Evaluate power spectrum at a single k */ - virtual real Evaluate(real k) const = 0; - real operator()(real k) const { return Evaluate(k); } - - /* Evaluate power spectrum at many k values (parallelized for speed) */ - virtual array EvaluateMany(const array& k) const; - array operator()(const array& k) const { return EvaluateMany(k); } - - /* Calculate the variance with top-hat smoothing radius R Mpc/h */ - virtual real Sigma(real R) const; - - /* Calculate the 1-D velocity dispersion $\sigma_v^2 = \frac{1}{6\pi^2} \int_0^\infty P(k) ~dk$ */ - virtual real VelocityDispersion() const; - - /* Calculate the non-linear scale $k_\text{nl} = 1/\sigma_v$ */ - virtual real NonlinearScale() const; - - /* Write power spectrum to file */ - virtual void Save(const char* filename, real kmin = 1e-3, real kmax = 1, int Nk = 1000, bool log = false); -}; - - -#if 0 -/********************************************************************** - * RedshiftPowerSpectrum - * - * Base class for redshift-space power spectra. - *********************************************************************/ - -class RedshiftPowerSpectrum { -public: - RedshiftPowerSpectrum(); - virtual ~RedshiftPowerSpectrum(); - - virtual real Evaluate(real k, real mu) const = 0; - real operator()(real k, real mu) const { return Evaluate(k, mu); } - - virtual real EvaluateMoment(real k, int ell) const = 0; - -}; -#endif - -#endif // POWER_SPECTRUM_H diff --git a/reactions/include/Copter/Quadrature.h b/reactions/include/Copter/Quadrature.h deleted file mode 100644 index 93df391..0000000 --- a/reactions/include/Copter/Quadrature.h +++ /dev/null @@ -1,72 +0,0 @@ -#ifndef QUADRATURE_H -#define QUADRATURE_H - -#include - -/* General notes on integration routines: - * - The Function f can be any callable object, i.e. any object that defines - * the method double operator()(double x). Of course this includes standard - * C-style functions of signature double f(double x). - * - epsrel is the desired relative error, epsabs is the desired absolute - * error. The adaptive integration routines continue until _either_ - * relative error < epsrel or absolute error < epsabs. - * - abserr is the computed absolute error. - * - neval is the number of times the integrand was evaluated. - * - Substitution mixins make it easy to change the integration variable - * (usually to improve convergence) without having to redefine the function - * itself. */ - - -/* Integrate - * - * Compute the definite integral $\int_a^b f(x) dx$. - * - * (Uses an adaptive algorithm with a 15-point Gauss-Kronrod rule. Based on - * the implementation of gsl_integration_qag in the GNU Scientific Library.) */ -template -double Integrate(Function f, double a, double b, double epsrel = 1e-5, double epsabs = 1e-10, double* abserr = 0, int* neval = 0); - -/* Integrate - * - * Compute the definite integral $\int_a^b f(x) dx$ by making the change of - * variables x -> u. I.e., compute $\int_{u(a)}^{u(b)} f(x(u)) (dx/du) du$. */ -template -double Integrate(Function f, double a, double b, double epsrel = 1e-5, double epsabs = 1e-10, double* abserr = 0, int* neval = 0, Sub sub = Sub()); - -/* Pre-defined substitution mixins */ -#define DECLARE_SUB(NAME,X,U,DXDU) \ -struct NAME { \ - double x(double u) { return X; } \ - double u(double x) { return U; } \ - double dxdu(double u) { return DXDU; } \ -}; - -DECLARE_SUB(NoSub, u, x, 1) -DECLARE_SUB(ExpSub, exp(u), log(x), exp(u)) -DECLARE_SUB(InverseSub, 1/u, 1/x, -1/(u*u)) - - -/* Integrate - * - * Compute the n-dimensional definite integral $\int f(\vec{x}) d^nx$. The - * integration region is the rectangle defined by the arrays a and b, i.e. - * V = [a_1,b_1] x [a_2,b_2] x ... x [a_n,b_n]. - * - * (Based on the Fortran routine ADAPT from Genz & Malik, J. Comp. & Appl. - * Math., 6, 295-302, 1980.) */ -template -double Integrate(Function f, double* a, double* b, double epsrel = 1e-5, double epsabs = 1e-10, double* abserr = 0, int* neval = 0); - - -/* DiscreteIntegrate - * - * Integrate the function f(x) which has already been evaluated at n discrete - * points with uniform spacing h. - * - * (Uses Simpson's rule for n odd, Hollingsworth and Hunter's 3rd-order formula - * for n even.) */ -double DiscreteIntegrate(int n, double* f, double h = 1); - -#include "Quadrature.inl" - -#endif // QUADRATURE_H diff --git a/reactions/include/Copter/Quadrature.inl b/reactions/include/Copter/Quadrature.inl deleted file mode 100644 index 8a66c72..0000000 --- a/reactions/include/Copter/Quadrature.inl +++ /dev/null @@ -1,523 +0,0 @@ -#include -#include -#include -#include - -#include "Common.h" - -const int GK_LIMIT = 8192; - -const int GM_MINPTS = 1000; -const int GM_MAXPTS = 10000000; - - -/* GKWorkspace: Workspace for adaptive Gauss-Kronrod algorithm */ -struct GKWorkspace { - const int limit; - int size; - double* alist; - double* blist; - double* rlist; - double* elist; - int* order; - - /* Initialize workspace. limit is the maximum number of subintervals allowed. */ - GKWorkspace(int limit = GK_LIMIT); - ~GKWorkspace(); - - void GetMaxInterval(double& a, double& b, double& r, double& e); - void Sort(); - void Update(double a1, double b1, double area1, double error1, - double a2, double b2, double area2, double error2); - void SumResults(double& result, double& abserr); - - static void ReportError(int error_code); - - /* General Gauss-Kronrod rule */ - static double GaussKronrod(const int n, const double wg[], const double wgk[], - double fc, double fv1[], double fv2[], double half, - double* abserr, double* resabs, double* resasc); - - /* 15-point Gauss-Kronrod rule with error estimate */ - template - static double GaussKronrod15(Function f, double a, double b, double* abserr, double* resabs, double* resasc); - - /* Integrate f(x) from a to b */ - template - double Integrate(Function f, double a, double b, double epsrel, double epsabs, double* abserr, int* neval); - - static const double wg15[4]; - static const double wgk15[8]; - static const double xgk15[8]; -}; - - -/***** GKWorkspace *****/ - -template -double GKWorkspace::GaussKronrod15(Function f, double a, double b, - double* abserr, double* resabs, double* resasc) -{ - const int n = 8; - double fv1[n], fv2[n]; - const double c = 0.5*(a + b); // center of the interval - const double fc = f(c); // f evaluated at c - const double half = 0.5*(b - a); // half the interval - double abscissa; - for(int j = 0; j < (n-1)/2; j++) { - abscissa = half*xgk15[2*j+1]; - fv1[2*j+1] = f(c - abscissa); - fv2[2*j+1] = f(c + abscissa); - } - for(int j = 0; j < n/2; j++) { - abscissa = half*xgk15[2*j]; - fv1[2*j] = f(c - abscissa); - fv2[2*j] = f(c + abscissa); - } - return GaussKronrod(n, wg15, wgk15, fc, fv1, fv2, half, abserr, resabs, resasc); -} - -/* Adaptive integration using GaussKronrod15 for fundamental intervals */ -template -double GKWorkspace::Integrate(Function f, double a, double b, double epsrel, double epsabs, double* pabserr, int* pneval) { - int error_code = 0; - int neval = 0; - double result = 0, abserr = 0, resabs = 0, resasc = 0; - - /* Make sure precision request is reasonable */ - if(epsabs <= 0 && (epsrel < 50*DBL_EPSILON || epsrel < 0.5e-28)) { - ReportError(1); - return 0; - } - - /* Integrate from left to right, fixing the sign at the end */ - double sign = +1; - if(a > b) { - double tmp = a; - a = b; - b = tmp; - sign = -1; - } - - /* Perform first integration */ - result = GaussKronrod15(f, a, b, &abserr, &resabs, &resasc); - neval += 15; - - /* Initialize workspace */ - size = 1; - alist[0] = a; - blist[0] = b; - rlist[0] = result; - elist[0] = abserr; - order[0] = 0; - - double area = result; - double errsum = abserr; - int iteration = 1; - - /* Adaptively subdivide interval until convergence is achieved */ - double a1, b1, a2, b2; - double a_i, b_i, r_i, e_i; - double area1, area2, area12; - double error1, error2, error12; - double resasc1, resasc2, resabs1, resabs2; - double tolerance; - do { - area1 = area2 = area12 = error1 = error2 = error12 = 0; - - /* Bisect the interval with the largest error estimate */ - GetMaxInterval(a_i, b_i, r_i, e_i); - a1 = a_i; - b1 = 0.5*(a_i + b_i); - a2 = b1; - b2 = b_i; - - /* Integrate over the two subintervals */ - area1 = GaussKronrod15(f, a1, b1, &error1, &resabs1, &resasc1); - area2 = GaussKronrod15(f, a2, b2, &error2, &resabs2, &resasc2); - neval += 30; - area12 = area1 + area2; - error12 = error1 + error2; - errsum += error12 - e_i; - area += area12 - r_i; - - tolerance = fmax(epsabs, epsrel*fabs(area)); - - if(errsum > tolerance) { - /* Check for bad behavior at a point of the integration range */ - double tmp = (1 + 100*DBL_EPSILON) * (fabs(a2) + 1000*DBL_MIN); - if(fabs(a1) <= tmp && fabs(b2) <= tmp) - error_code = 3; - - /* Check if we've reached the maximum number of subintervals */ - if(iteration == limit) - error_code = 4; - } - - Update(a1, b1, area1, error1, a2, b2, area2, error2); - iteration++; - } - while(iteration < limit && error_code == 0 && errsum > tolerance); - - /* Re-sum results to minimize round-off error */ - SumResults(result, abserr); - - if(abserr > tolerance) - ReportError(error_code); - - if(pabserr) - *pabserr = abserr; - if(pneval) - *pneval = neval; - return sign*result; -} - - -/* GMWorkspace: workspace for n-dimensional Genz-Malik algorithm */ -struct GMWorkspace { - int n; // dimension of integral - void* wrkstr; // storage space for region objects - - GMWorkspace(int n); - ~GMWorkspace(); -}; - - -/* Singleton class for managing workspaces. The rationale here is that we - * might need to call Integrate() many many times, and we don't want to have to - * allocate and free workspace memory each time. So instead we keep a list - * of already allocated workspaces, and a flag to indicate whether or not it's - * currently in use. When a new workspace is requested, we first check for - * an existing unused workspace. Only if no workspaces are available do we - * allocate memory for a new one. This class handles all of this logic. */ -struct WorkspaceManager { - typedef std::map GKWorkspaceList; - typedef std::map GMWorkspaceList; - - /* List of instantiated workspaces. The key is a pointer to a workspace - * object; the value is either 1 if the workspace is currently in use, or - * 0 otherwise. */ - GKWorkspaceList gk_workspaces; - GMWorkspaceList gm_workspaces; - - /* Get or release a GKWorkspace for 1-dimensional integration. */ - GKWorkspace* get_gk_workspace(); - void release_gk_workspace(GKWorkspace* workspace); - - /* Get or release a GMWorkspace for n-dimensional integration. */ - GMWorkspace* get_gm_workspace(int n); - void release_gm_workspace(GMWorkspace* workspace); - - WorkspaceManager(); - ~WorkspaceManager(); -}; - -/* Global WorkspaceManager object, constructed at startup */ -extern WorkspaceManager workspace_manager; - - -/***** Integrate *****/ - -template -double Integrate(Function f, double a, double b, double epsrel, double epsabs, double* abserr, int* neval) { - GKWorkspace* workspace = workspace_manager.get_gk_workspace(); - double result = workspace->Integrate(f, a, b, epsrel, epsabs, abserr, neval); - workspace_manager.release_gk_workspace(workspace); - return result; -} - - -/***** Integrate *****/ - -template -struct SubFunc { - Function f; - Sub sub; - SubFunc(Function f_, Sub sub_ = Sub()) : f(f_), sub(sub_) {} - double operator()(double u) { return f(sub.x(u)) * sub.dxdu(u); } -}; - -template -double Integrate(Function f, double a, double b, double epsrel, double epsabs, double* abserr, int* neval, Sub sub) { - GKWorkspace* workspace = workspace_manager.get_gk_workspace(); - SubFunc F(f, sub); - double result = workspace->Integrate(F, sub.u(a), sub.u(b), epsrel, epsabs, abserr, neval); - workspace_manager.release_gk_workspace(workspace); - return result; -} - - -/***** Integrate *****/ - -template -struct region { - double center[n]; - double width[n]; - double val; - double err; - int divaxn; -}; - -template -struct apply { - double integrand; - apply(Function f, double* z) { integrand = f(z); } - operator double() const { return integrand; } -}; - -template -struct apply { - double integrand; - apply(Function f, double* z) { integrand = f(z[0]); } - operator double() const { return integrand; } -}; - -template -struct apply { - double integrand; - apply(Function f, double* z) { integrand = f(z[0], z[1]); } - operator double() const { return integrand; } -}; - -template -struct apply { - double integrand; - apply(Function f, double* z) { integrand = f(z[0], z[1], z[2]); } - operator double() const { return integrand; } -}; - -template -struct apply { - double integrand; - apply(Function f, double* z) { integrand = f(z[0], z[1], z[2], z[3]); } - operator double() const { return integrand; } -}; - -template -struct apply { - double integrand; - apply(Function f, double* z) { integrand = f(z[0], z[1], z[2], z[3], z[4]); } - operator double() const { return integrand; } -}; - -template -struct apply { - double integrand; - apply(Function f, double* z) { integrand = f(z[0], z[1], z[2], z[3], z[4], z[5]); } - operator double() const { return integrand; } -}; - -template -double Integrate(Function f, double* a, double* b, double epsrel, double epsabs, double* pabserr, int* pneval) { - assert(n >= 1 && n <= 15); - const int two_to_the_n = (1 << n); - const int rulcls = two_to_the_n + 2*n*n + 2*n + 1; // number of function calls per basic rule - assert(GM_MAXPTS >= rulcls); - - /** Initialization **/ - int ifail = 3; - double finest = 0.; - double abserr = 0.; - int funcls = 0; - int divflg = 1; - int subrgn = 1; - int sbrgns = 1; - int subtmp; - int maxrgns = 1 + (1 + GM_MAXPTS/rulcls)/2; - - double center[n], width[n], widthl[n], z[n]; - for(int j = 0; j < n; j++) { - center[j] = 0.5*(a[j] + b[j]); - width[j] = 0.5*(b[j] - a[j]); - } - - /** Basic rule initialization **/ - const double lambda2 = sqrt(9./70.); - const double lambda4 = sqrt(9./10.); - const double lambda5 = sqrt(9./19.); - const double wt1 = (12824. - 9120.*n + 400.*n*n)/19683.; - const double wt2 = 980./6561.; - const double wt3 = (1820. - 400.*n)/19683.; - const double wt4 = 200./19683.; - const double wt5 = 6859./19683./two_to_the_n; - const double wtp1 = (729. - 950.*n + 50.*n*n)/729.; - const double wtp2 = 245./486.; - const double wtp3 = (265. - 100.*n)/1458.; - const double wtp4 = 25./729.; - const double ratio = pow2(lambda2/lambda4); - - GMWorkspace* workspace = workspace_manager.get_gm_workspace(n); - region* wrkstr = (region*)workspace->wrkstr; - - double sum1, sum2, sum3, sum4, sum5, difmax, f1, f2, f3, f4, df1, df2, dif; - int divaxn = 0, divaxo = 0; - while(true) { - /** Begin basic rule **/ - double rgnvol = (double)two_to_the_n; - for(int j = 0; j < n; j++) { - rgnvol *= width[j]; - z[j] = center[j]; - } - sum1 = apply(f, z); - - /* Compute symmetric sums of f(lambda2,0,...,0) and f(lambda4,0,...,0), and - * maximum fourth difference */ - sum2 = sum3 = difmax = 0.; - for(int j = 0; j < n; j++) { - z[j] = center[j] - lambda2*width[j]; - f1 = apply(f, z); - z[j] = center[j] + lambda2*width[j]; - f2 = apply(f, z); - widthl[j] = lambda4*width[j]; - z[j] = center[j] - widthl[j]; - f3 = apply(f, z); - z[j] = center[j] + widthl[j]; - f4 = apply(f, z); - sum2 += f1 + f2; - sum3 += f3 + f4; - df1 = f1 + f2 - 2*sum1; - df2 = f3 + f4 - 2*sum1; - dif = fabs(df1 - ratio*df2); - if(dif >= difmax) { - difmax = dif; - divaxn = j; - } - z[j] = center[j]; - } - - /* Compute symmetric sum of f(lambda4,lambda4,0,...,0) */ - sum4 = 0.; - for(int j = 1; j < n; j++) { - for(int k = j; k < n; k++) { - for(int l = 1; l <= 2; l++) { - widthl[j-1] = -widthl[j-1]; - z[j-1] = center[j-1] + widthl[j-1]; - for(int m = 1; m <= 2; m++) { - widthl[k] = -widthl[k]; - z[k] = center[k] + widthl[k]; - sum4 += apply(f, z); - } - } - z[k] = center[k]; - } - z[j-1] = center[j-1]; - } - - /* Compute symmetric sum of f(lambda5,lambda5,...,lambda5) */ - sum5 = 0.; - for(int j = 0; j < n; j++) { - widthl[j] = -lambda5*width[j]; - z[j] = center[j] + widthl[j]; - } - for(int j = 0; j != n; ) { - sum5 += apply(f, z); - for(j = 0; j < n; j++) { - widthl[j] = -widthl[j]; - z[j] = center[j] + widthl[j]; - if(widthl[j] > 0) - break; - } - } - - /* Compute fifth and seventh degree rules and error */ - double rgncmp = rgnvol*(wtp1*sum1 + wtp2*sum2 + wtp3*sum3 + wtp4*sum4); - double rgnval = rgnvol*(wt1*sum1 + wt2*sum2 + wt3*sum3 + wt4*sum4 + wt5*sum5); - double rgnerr = fabs(rgnval - rgncmp); - - /** (End basic rule) **/ - - finest += rgnval; - abserr += rgnerr; - funcls += rulcls; - - /** Place results of basic rule into partially ordered list according to - ** subregion error **/ - if(divflg == 0) { - /* When divflg == 0 start at top of list and move down list tree to - * find corect position for results from first half of recently - * divided subregion */ - while(true) { - subtmp = 2*subrgn; - if(subtmp > sbrgns) - break; - if(subtmp < sbrgns && wrkstr[subtmp].err < wrkstr[subtmp+1].err) - subtmp++; - if(rgnerr >= wrkstr[subtmp].err) - break; - - wrkstr[subrgn] = wrkstr[subtmp]; - subrgn = subtmp; - } - } - else { - /* When divflg == 1 start at bottom right branch and move up list tree - * to find correct position for results from second half of recently - * divided subregion */ - while(true) { - subtmp = subrgn/2; - if(subtmp == 0 || rgnerr < wrkstr[subtmp].err) - break; - wrkstr[subrgn] = wrkstr[subtmp]; - subrgn = subtmp; - } - } - - /** Store results of basic rule in correct position in list **/ - for(int j = 0; j < n; j++) { - wrkstr[subrgn].center[j] = center[j]; - wrkstr[subrgn].width[j] = width[j]; - } - wrkstr[subrgn].val = rgnval; - wrkstr[subrgn].err = rgnerr; - wrkstr[subrgn].divaxn = divaxn; - - if(divflg == 0) { - /* When divflg == 0 prepare for second application of basic rule */ - center[divaxo] += 2*width[divaxo]; - sbrgns++; - subrgn = sbrgns; - divflg = 1; - continue; - } - /** (End ordering and storage of basic rule results) **/ - - /** Make checks for possible termination of routine **/ - double relerr = abserr/fabs(finest); - if(sbrgns + 1 > maxrgns) - ifail = 2; - if(funcls + 2*rulcls > GM_MAXPTS) - ifail = 1; - if((relerr < epsrel || abserr < epsabs) && funcls >= GM_MINPTS) - ifail = 0; - if(ifail < 3) - break; - - /** Prepare to use basic rule on each half subregion with largest - ** error **/ - divflg = 0; - subrgn = 1; - abserr -= wrkstr[subrgn].err; - finest -= wrkstr[subrgn].val; - divaxo = wrkstr[subrgn].divaxn; - for(int j = 0; j < n; j++) { - center[j] = wrkstr[subrgn].center[j]; - width[j] = wrkstr[subrgn].width[j]; - } - width[divaxo] *= 0.5; - center[divaxo] -= width[divaxo]; - } - - workspace_manager.release_gm_workspace(workspace); - - if(ifail == 1) - warning("Integrate: did not converge after %d function evaluations\n", funcls); - else if(ifail == 2) - warning("Integrate: not enough storage space (this should never happen)\n"); - - if(pabserr) - *pabserr = abserr; - if(pneval) - *pneval = funcls; - - return finest; -} diff --git a/reactions/include/Copter/RPT.h b/reactions/include/Copter/RPT.h deleted file mode 100644 index 30f50d6..0000000 --- a/reactions/include/Copter/RPT.h +++ /dev/null @@ -1,107 +0,0 @@ -#ifndef RPT_H -#define RPT_H - -#include "Common.h" -#include "GrowthFunction.h" -#include "MonteCarlo.h" -#include "PowerSpectrum.h" -#include "array.h" - - -/****************************************************************************** - * RPT - * - * Crocce and Scoccimarro's renormalized perturbation theory - ******************************************************************************/ -class RPT { -public: - RPT(const Cosmology& C, const PowerSpectrum& P_i, real z_i, real z, int Neta, int Nk = 1000, real kcut = 10.); - ~RPT(); - - /* Nonlinear propagator */ -// real G(int a, int b, real k, real z1, real z2) const; - void ComputeG_ab(real k, real eta1, real eta2, real& g11, real& g12, real& g21, real& g22) const; - - /* Accessor functions for interpolated propagator */ - real G_11(real k, int t = -1, int tp = 0) const; - real G_12(real k, int t = -1, int tp = 0) const; - real G_21(real k, int t = -1, int tp = 0) const; - real G_22(real k, int t = -1, int tp = 0) const; - real G_1(real k, int t = -1) const; - real G_2(real k, int t = -1) const; - - /* Tree-level power spectrum */ - real P1(real k, int a = 1, int b = 1) const; - real P1_11(real k) const; - real P1_12(real k) const; - real P1_22(real k) const; - - /* 1-loop contribution to PS */ - real P2(real k, int a = 1, int b = 1) const; - real P2_11(real k) const; - real P2_12(real k) const; - real P2_22(real k) const; - - /* 2-loop contribution to PS */ - real P3(real k, int a = 1, int b = 1) const; - real P3_11(real k) const; - real P3_12(real k) const; - real P3_22(real k) const; - - /* Linear PS */ - real P_L(real k) const; - -protected: - const Cosmology& C; - const PowerSpectrum& P_i; // linear PS at z = z_i - real z_i; // initial redshift - real z; // redshift at which to evaluate PS - GrowthFunction D; - - int Neta; // number of time divisions for interpolated propagators - int Nk; // number of k-values for interpolated propagators - vector g11, g12, g21, g22; // nonlinear propagator - real deta; - real kcut; - - void PrecomputePropagator(); - - /* Renormalized propagator factors */ - real G_alpha(real eta, real etap = 0) const; - real G_beta_g(real eta, real etap = 0) const; - real G_beta_d(real eta, real etap = 0) const; - real G_gamma_g(real eta, real etap = 0) const; - real G_gamma_d(real eta, real etap = 0) const; - real G_delta(real eta, real etap = 0) const; - real G_f(real k) const; - real G_g(real k) const; - real G_h(real k) const; - real G_i(real k) const; - - /* Vertices */ - static real alpha(real k, real q, real r); - static real beta(real k, real q, real r); - - /* Mode-coupling integrands */ -// real f2_11(real k, real q, real r) const; -// real f2_12(real k, real q, real x) const; -// real f2_22(real k, real q, real x) const; - real F2_11(real k, real x, real y) const; - real F2_12(real k, real x, real y) const; - real F2_22(real k, real x, real y) const; - - struct ThirdOrderIntegral : public MonteCarloIntegral { - ThirdOrderIntegral(const RPT& rpt); - virtual void Integrand(const double x[], double* f, double* param) const; - - const RPT& rpt; - } p3int; - - /* Mode-coupling integral factors */ - real I_1(real k, real q, real kq, int t = -1) const; - real I_2(real k, real q, real kq, int t = -1) const; - real J_1(real k, real p, real kp, real q, real pq, int t = -1) const; - real J_2(real k, real p, real kp, real q, real pq, int t = -1) const; -}; - -#endif // RPT_H diff --git a/reactions/include/Copter/SCOL.h b/reactions/include/Copter/SCOL.h deleted file mode 100644 index 001eb06..0000000 --- a/reactions/include/Copter/SCOL.h +++ /dev/null @@ -1,101 +0,0 @@ -#ifndef SCOL_H -#define SCOL_H -#include "Common.h" -// SP_IVP.h -// Spherical Collapse IVP -//#include -#include -#include -#include -#include -#include -#include -#include -#include -#include /* prototypes for CVODE fcts., consts. */ -#include /* access to serial N_Vector */ -#include /* access to dense SUNMatrix */ -#include /* access to dense SUNLinearSolver */ -#include /* access to CVDls interface */ -#include /* defs. of realtype, sunindextype */ -#include /* contains the macros ABS, SUNSQR, EXP */ - -#define Ith(v,i) NV_Ith_S(v,i-1) /* Ith numbers components 1..NEQ */ -#define IJth(A,i,j) SM_ELEMENT_D(A,i-1,j-1) /* IJth numbers rows,cols 1..NEQ */ - -#define NEQ 2 /* number of equations */ -#define Y1 RCONST(0.0) /* initial y components */ -#define RTOL RCONST(1.0e-5) /* scalar relative tolerance */ -#define ATOL1 RCONST(1.0e-11) /* vector absolute tolerance components */ -#define ATOL2 RCONST(1.0e-11) -#define T00 RCONST(-10.41431317630211772495840705232694745063781738281250) /* initial time */ -#define NOUT 1024 /* number of output times */ -#define NOUT_DC 10 /* number of output times */ - -#define HALF RCONST(0.5) /* 0.5 */ -#define ONE RCONST(1.0) /* 1.0 */ -#define TWO RCONST(2.0) -#define THREE RCONST(3.0) /* 3.0 */ -#define DELTA1 RCONST(3e-5) /* Delta_i1 */ -#define DELTA2 RCONST(0.00012) /* Delta_i2 */ -#define EPSILON RCONST(1.0e-9) -#define ZERO RCONST(0.0) -#define NINE RCONST(9.0) -#define TEN RCONST(10.0) -#define Gnewton RCONST(4.302e-09) -#define coef RCONST(8987404.41) // 1/H0^2 - - -// structures to store spherical collapse calculations -typedef struct arrays{ - int count; - double xx[1002]; - double yy[1002]; } *arrays_T; - - -typedef struct arrays3D{ - int count; - double xx[1002]; - double yy[1002]; - double zz[1002]; } *arrays_T3; - - -typedef struct usdat { - realtype IC; - realtype OM; - realtype Rth; - realtype T1; - double par1; - double par2; - double par3; - int mymg; - gsl_spline *spline; - gsl_interp_accel *acc; -} *UserData; - - -extern int check_flagscol(void *flagvalue, const char *funcname, int opt); // - - -class SCOL { -public: - -// used functions in example file - double maxP_zeta(double sig2, double dsig2dR, double OM, double Z); - double Delta_Lambda(double OM, double Z); // - // solves for y_enviornment - int yenv(double OM_REAL, double XF, double delta_envi, arrays_T xxyy); // gives the environmental dependence of spherical collapse - // solves for y_halo - int SphericalCollapse(double *dC, arrays_T3 xxyyzz, UserData data_vec, double TMULT_REAL); // spherical collapse solver - // solves for a_virial - double myscol(double myscolparams[], double acol, double omega0, double Rthp, double sig1, double sig2, double pars[], int mymg); // solves for virial quantities and stores them in array myscolparams - - - void PrintOutput(realtype t, realtype y1, realtype y2); - void PrintRootInfo(int root_f1); // - - double funcscol(double xi, void *user_data); // - -}; - -#endif diff --git a/reactions/include/Copter/SPT.h b/reactions/include/Copter/SPT.h deleted file mode 100644 index 9d3a39a..0000000 --- a/reactions/include/Copter/SPT.h +++ /dev/null @@ -1,183 +0,0 @@ -#ifndef SPT_H -#define SPT_H - -#include "Common.h" - -/****************************************************************************** - * SPT - * - * 1-loop standard perturbation theory. Indices (a,b) are used to indicate - * either the density-density, density-velocity, or velocity-velocity spectra, - * P_{11} <--> P_{\delta\delta} - * P_{12} <--> P_{\delta\theta} - * P_{22} <--> P_{\theta\theta} - * whereas the labels "22" or "13" refer to different terms in the perturbation - * series. - ******************************************************************************/ - -extern double phpars[13]; - -class SPT { -public: - SPT(const Cosmology& C, const PowerSpectrum& P_L, real epsrel = 1e-3); - - -/* REAL SPACE */ - - /* P_{ab}(k) 1-loop: analytical (EdS) LCDM and nDGP */ - /* The division by Dl is my own normalisation of P_L - it requires z=0 always in spt2.cpp */ - // values of a : - // 1: P_dd, 2: P_dt , 3: P_tt ; LCDM - // 4: P_dd, 5: P_dt , 6: P_tt ; nDGP - real PLOOP(real k, int a) const; - - /* P_{ab}(k) 1-loop : numerical for arbitrary model of gravity - kernel dependent */ - // values of a : - // 1: P_dd, 2: P_dt , 3: P_tt for mg, - // 4: P_dd, 5: P_dt , 6: P_tt for interacting DE of - // vars: 0: omega_0, 1: mg1, 2:mg2 , 3:mg3, 4:scale factor - real PLOOPn2(int a, double vars[], double k, double err) const; - - // initialise p_loop values over redshifts[] at k=k0 for k_star in reaction code (HALO.cpp) - void ploop_init(double ploopr[], double ploopp[], double redshifts[], int noz, double vars[], double k0); - - // halo fit coefficient initialisation - void phinit(double scalef, double omega0) const; - // halofit model - double PHALO(double k) const; - -/*Redshift Space PS */ - - /* Funtions to vary growth rate freely */ - - void remp(real f) const; - void rempn(real f) const; - void rempdgp(real f) const; - - // bl is galaxy bias - // u is the cosine of the angle between k and the line of sight - - /* KAISER RSD */ - // a =1 : LCDM - // a =2 : nDGP - real PRSD(real k,real u, real bl, int a) const; - - - /* P(k,u) RSD TNS */ - // sigma_v is the damping factor - // u is the cosine of the angle between k and LOS - // a = 1 : LCDM - // a = 2 : nDGP - real PTNS(real k, real u, real bl, real sigma_v, int a) const; - - /*Multipoles*/ - - /* LCDM Kaiser Multipoles with DFoG term (set sigma_v=0 for linear kaiser multipoles) */ - - // a = 1 : Monopole - // a = 2 : Quadrupole - // a = 3 : Hexdecapole - real KASM(real k, real bl, real sigma_v, int a) const ; - - /* LCDM TNS Multipoles */ - // a = 1 : Monopole - // a = 2 : Quadrupole - // a = 3 : Hexdecapole - //linear bias - real PTNSM(real k, real bl, real sigma_v, int a) const; - - // qbias - real PTNSMq(real k, double barr[], real sigma_v, int a) const; - - // lagrangian bias - real PTNSMl(real k, double barr[], real sigma_v, int a) const; - - /* nDGP TNS Multipoles */ - // a = 1 : Monopole - // a = 2 : Quadrupole - // a = 3 : Hexdecapole - //linear bias - real PTNSMnDGP(real k, real bl, real sigma_v, int a) const ; - // qbias - real PTNSMnDGPq(real k, double barr[], real sigma_v, int a) const; - - - // modified gravity TNS and Kaiser model - numerically calculated - double PRSD_mg(int a, int b, double bias[], double vars[], double sigma_v, double k, double err) const; - -/// lagrangian bias terms - real Lag_bias(int a, real k, real bias[]) const; - - -// individual loop terms - //LCDM 1-loop terms - - /* $P_{ab}^{(2,2)}(k)$ */ - real P22(real k, int a=1, int b=1) const; - - /* $P_{ab}^{(1,3)}(k)$ */ - real P13(real k, int a=1, int b =1) const; - - /* $P_{\delta\delta}^{(2,2)}(k)$ */ - real P22_dd(real k) const; - - /* $P_{\delta\theta}^{(2,2)}(k)$ */ - real P22_dt(real k) const; - - /* $P_{\theta\theta}^{(2,2)}(k)$ */ - real P22_tt(real k) const; - - /* $P_{\delta\delta}^{(1,3)}(k)$ */ - real P13_dd(real k) const; - - /* $P_{\delta\theta}^{(1,3)}(k)$ */ - real P13_dt(real k) const; - - /* $P_{\theta\theta}^{(1,3)}(k)$ */ - real P13_tt(real k) const ; - - - //DGP 1-loop terms - - /* $P_{ab}^{(2,2)}(k)$ */ - real P22D(real k, int a) const; - - /* $P_{ab}^{(1,3)}(k)$ */ - real P13D(real k, int a) const; - - /* $P_{\delta\delta}^{(2,2)}(k)$ */ - real P22D_dd(real k) const; - - /* $P_{\delta\theta}^{(2,2)}(k)$ */ - real P22D_dt(real k) const; - - /* $P_{\theta\theta}^{(2,2)}(k)$ */ - real P22D_tt(real k) const; - - /* $P_{\delta\delta}^{(1,3)}(k)$ */ - real P13D_dd(real k) const; - - /* $P_{\delta\theta}^{(1,3)}(k)$ */ - real P13D_dt(real k) const; - - /* $P_{\theta\theta}^{(1,3)}(k)$ */ - real P13D_tt(real k) const ; - - - /* A+B+C term analytical*/ - // a = 1 : Monopole - // a = 2 : Quadrupole - // a = 3 : Hexdecapole - real AB(real k, real bl, real sigmav, int a) const; - // for 2d spectra - real AB_mu(real k, real bl, real u, int a) const; - - -private: - const Cosmology& C; - const PowerSpectrum& P_L; - real epsrel; - -}; - -#endif // SPT_H diff --git a/reactions/include/Copter/SimpleRG.h b/reactions/include/Copter/SimpleRG.h deleted file mode 100644 index c7e5106..0000000 --- a/reactions/include/Copter/SimpleRG.h +++ /dev/null @@ -1,30 +0,0 @@ -#ifndef SIMPLE_RG_H -#define SIMPLE_RG_H - -#include "Common.h" -#include "Cosmology.h" -#include "InterpolatedPS.h" -#include "array.h" - - -/********************************************************************** - * SimpleRG - * - * McDonald's "simple renormalization group" power spectrum. - *********************************************************************/ -class SimpleRG { -public: - SimpleRG(const Cosmology& C, const PowerSpectrum& P_L); - - InterpolatedPS CalculateP(int Nk, real kmin, real kmax, real epsrel = 1e-3); - -private: - const Cosmology& C; - const PowerSpectrum& P_L; - int Nk; - vector k; - - vector dQdA(real A, const vector& Q); -}; - -#endif // SIMPLE_RG_H diff --git a/reactions/include/Copter/SpecialFunctions.h b/reactions/include/Copter/SpecialFunctions.h deleted file mode 100644 index bb38312..0000000 --- a/reactions/include/Copter/SpecialFunctions.h +++ /dev/null @@ -1,294 +0,0 @@ -#ifndef SPECIALFUNCTIONS_H -#define SPECIALFUNCTIONS_H - -#include - -// GL quadrature for 256 abscissae - used for numerical kernel angular integration -// abscissae -const double x128[256] = {-9.999561e-01,-9.997684e-01,-9.994309e-01,-9.989435e-01,-9.983063e-01,-9.975193e-01,-9.965826e-01,-9.954965e-01,-9.942610e-01,-9.928763e-01,-9.913428e-01,-9.896605e-01,-9.878297e-01,-9.858508e-01,-9.837240e-01,-9.814496e-01,-9.790280e-01,-9.764595e-01,-9.737446e-01,-9.708836e-01,-9.678769e-01,-9.647251e-01,-9.614285e-01,-9.579877e-01,-9.544032e-01,-9.506755e-01,-9.468052e-01,-9.427929e-01,-9.386392e-01,-9.343446e-01,-9.299099e-01,-9.253357e-01,-9.206227e-01,-9.157716e-01,-9.107831e-01,-9.056580e-01,-9.003970e-01,-8.950010e-01,-8.894707e-01,-8.838069e-01,-8.780106e-01,-8.720826e-01,-8.660238e-01,-8.598350e-01,-8.535173e-01,-8.470715e-01,-8.404987e-01,-8.337997e-01,-8.269757e-01,-8.200277e-01,-8.129566e-01,-8.057636e-01,-7.984497e-01,-7.910160e-01,-7.834637e-01,-7.757938e-01,-7.680076e-01,-7.601062e-01,-7.520907e-01,-7.439624e-01,-7.357225e-01,-7.273723e-01,-7.189129e-01,-7.103457e-01,-7.016719e-01,-6.928929e-01,-6.840099e-01,-6.750243e-01,-6.659375e-01,-6.567508e-01,-6.474655e-01,-6.380831e-01,-6.286050e-01,-6.190327e-01,-6.093674e-01,-5.996107e-01,-5.897641e-01,-5.798290e-01,-5.698070e-01,-5.596994e-01,-5.495079e-01,-5.392340e-01,-5.288792e-01,-5.184450e-01,-5.079331e-01,-4.973450e-01,-4.866822e-01,-4.759465e-01,-4.651394e-01,-4.542624e-01,-4.433174e-01,-4.323058e-01,-4.212294e-01,-4.100898e-01,-3.988887e-01,-3.876278e-01,-3.763087e-01,-3.649331e-01,-3.535028e-01,-3.420195e-01,-3.304849e-01,-3.189007e-01,-3.072686e-01,-2.955905e-01,-2.838680e-01,-2.721029e-01,-2.602971e-01,-2.484521e-01,-2.365699e-01,-2.246523e-01,-2.127009e-01,-2.007176e-01,-1.887042e-01,-1.766625e-01,-1.645943e-01,-1.525014e-01,-1.403856e-01,-1.282488e-01,-1.160927e-01,-1.039192e-01,-9.173013e-02,-7.952729e-02,-6.731252e-02,-5.508766e-02,-4.285453e-02,-3.061497e-02,-1.837082e-02,-6.123912e-03, 0.0061239123751895295011702,0.0183708184788136651179263,0.0306149687799790293662786,0.0428545265363790983812423,0.0550876556946339841045614,0.0673125211657164002422903,0.0795272891002329659032271,0.0917301271635195520311456,0.1039192048105094036391969,0.1160926935603328049407349,0.1282487672706070947420496,0.1403856024113758859130249,0.1525013783386563953746068,0.1645942775675538498292845,0.1766624860449019974037218,0.1887041934213888264615036,0.2007175933231266700680007,0.2127008836226259579370402,0.2246522667091319671478783,0.2365699497582840184775084,0.2484521450010566668332427,0.2602970699919425419785609,0.2721029478763366095052447,0.2838680076570817417997658,0.2955904844601356145637868,0.3072686197993190762586103,0.3189006618401062756316834,0.3304848656624169762291870,0.3420194935223716364807297,0.3535028151129699895377902,0.3649331078236540185334649,0.3763086569987163902830557,0.3876277561945155836379846,0.3988887074354591277134632,0.4100898214687165500064336,0.4212294180176238249768124,0.4323058260337413099534411,0.4433173839475273572169258,0.4542624399175899987744552,0.4651393520784793136455705,0.4759464887869833063907375,0.4866822288668903501036214,0.4973449618521814771195124,0.5079330882286160362319249,0.5184450196736744762216617,0.5288791792948222619514764,0.5392340018660591811279362,0.5495079340627185570424269,0.5596994346944811451369074,0.5698069749365687590576675,0.5798290385590829449218317,0.5897641221544543007857861,0.5996107353629683217303882,0.6093674010963339395223108,0.6190326557592612194309676,0.6286050494690149754322099,0.6380831462729113686686886,0.6474655243637248626170162,0.6567507762929732218875002,0.6659375091820485599064084,0.6750243449311627638559187,0.6840099204260759531248771,0.6928928877425769601053416,0.7016719143486851594060835,0.7103456833045433133945663,0.7189128934599714483726399,0.7273722596496521265868944,0.7357225128859178346203729,0.7439624005491115684556831,0.7520906865754920595875297,0.7601061516426554549419068,0.7680075933524456359758906,0.7757938264113257391320526,0.7834636828081838207506702,0.7910160119895459945467075,0.7984496810321707587825429,0.8057635748129986232573891,0.8129565961764315431364104,0.8200276660989170674034781,0.8269757238508125142890929,0.8337997271555048943484439,0.8404986523457627138950680,0.8470714945172962071870724,0.8535172676795029650730355,0.8598350049033763506961731,0.8660237584665545192975154,0.8720825999954882891300459,0.8780106206047065439864349,0.8838069310331582848598262,0.8894706617776108888286766,0.8950009632230845774412228,0.9003970057703035447716200,0.9056579799601446470826819,0.9107830965950650118909072,0.9157715868574903845266696,0.9206227024251464955050471,0.9253357155833162028727303,0.9299099193340056411802456,0.9343446275020030942924765,0.9386391748378148049819261,0.9427929171174624431830761,0.9468052312391274813720517,0.9506755153166282763638521,0.9544031887697162417644479,0.9579876924111781293657904,0.9614284885307321440064075,0.9647250609757064309326123,0.9678769152284894549090038,0.9708835784807430293209233,0.9737445997043704052660786,0.9764595497192341556210107,0.9790280212576220388242380,0.9814496290254644057693031,0.9837240097603154961666861,0.9858508222861259564792451,0.9878297475648606089164877,0.9896604887450652183192437,0.9913427712075830869221885,0.9928763426088221171435338,0.9942609729224096649628775,0.9954964544810963565926471,0.9965826020233815404305044,0.9975192527567208275634088,0.9983062664730064440555005,0.9989435258434088565550263,0.9994309374662614082408542,0.9997684374092631861048786,0.9999560500189922307348012}; -// weights -const double w128[256] = {1.127890e-04,2.625349e-04,4.124633e-04,5.623490e-04,7.121542e-04,8.618537e-04,1.011424e-03,1.160844e-03,1.310089e-03,1.459137e-03,1.607967e-03,1.756556e-03,1.904881e-03,2.052920e-03,2.200652e-03,2.348053e-03,2.495102e-03,2.641777e-03,2.788055e-03,2.933916e-03,3.079336e-03,3.224294e-03,3.368769e-03,3.512738e-03,3.656180e-03,3.799074e-03,3.941398e-03,4.083130e-03,4.224250e-03,4.364737e-03,4.504569e-03,4.643725e-03,4.782184e-03,4.919926e-03,5.056930e-03,5.193175e-03,5.328642e-03,5.463309e-03,5.597156e-03,5.730164e-03,5.862312e-03,5.993581e-03,6.123951e-03,6.253402e-03,6.381915e-03,6.509470e-03,6.636050e-03,6.761633e-03,6.886203e-03,7.009739e-03,7.132224e-03,7.253639e-03,7.373966e-03,7.493186e-03,7.611283e-03,7.728238e-03,7.844033e-03,7.958652e-03,8.072077e-03,8.184291e-03,8.295278e-03,8.405020e-03,8.513501e-03,8.620705e-03,8.726616e-03,8.831218e-03,8.934495e-03,9.036432e-03,9.137013e-03,9.236223e-03,9.334048e-03,9.430473e-03,9.525483e-03,9.619065e-03,9.711203e-03,9.801885e-03,9.891096e-03,9.978823e-03,1.006505e-02,1.014977e-02,1.023297e-02,1.031464e-02,1.039475e-02,1.047331e-02,1.055029e-02,1.062570e-02,1.069950e-02,1.077171e-02,1.084230e-02,1.091126e-02,1.097858e-02,1.104426e-02,1.110828e-02,1.117063e-02,1.123131e-02,1.129031e-02,1.134761e-02,1.140321e-02,1.145709e-02,1.150926e-02,1.155970e-02,1.160841e-02,1.165538e-02,1.170060e-02,1.174406e-02,1.178576e-02,1.182570e-02,1.186386e-02,1.190024e-02,1.193483e-02,1.196764e-02,1.199865e-02,1.202785e-02,1.205526e-02,1.208086e-02,1.210464e-02,1.212661e-02,1.214676e-02,1.216509e-02,1.218159e-02,1.219626e-02,1.220911e-02,1.222012e-02,1.222930e-02,1.223665e-02,1.224216e-02,1.224583e-02,1.224767e-02,0.0122476716402897559040703,0.0122458343697479201424639,0.0122421601042728007697281,0.0122366493950401581092426,0.0122293030687102789041463,0.0122201222273039691917087,0.0122091082480372404075141,0.0121962627831147135181810,0.0121815877594817721740476,0.0121650853785355020613073,0.0121467581157944598155598,0.0121266087205273210347185,0.0121046402153404630977578,0.0120808558957245446559752,0.0120552593295601498143471,0.0120278543565825711612675,0.0119986450878058119345367,0.0119676359049058937290073,0.0119348314595635622558732,0.0119002366727664897542872,0.0118638567340710787319046,0.0118256971008239777711607,0.0117857634973434261816901,0.0117440619140605503053767,0.0117005986066207402881898,0.0116553800949452421212989,0.0116084131622531057220847,0.0115597048540436357726687,0.0115092624770394979585864,0.0114570935980906391523344,0.0114032060430391859648471,0.0113476078955454919416257,0.0112903074958755095083676,0.0112313134396496685726568,0.0111706345765534494627109,0.0111082800090098436304608,0.0110442590908139012635176,0.0109785814257295706379882,0.0109112568660490397007968,0.0108422955111147959952935,0.0107717077058046266366536,0.0106995040389797856030482,0.0106256953418965611339617,0.0105502926865814815175336,0.0104733073841704030035696,0.0103947509832117289971017,0.0103146352679340150682607,0.0102329722564782196569549,0.0101497741990948656546341,0.0100650535763063833094610,0.0099788230970349101247339,0.0098910956966958286026307,0.0098018845352573278254988,0.0097112029952662799642497,0.0096190646798407278571622,0.0095254834106292848118297,0.0094304732257377527473528,0.0093340483776232697124660,0.0092362233309563026873787,0.0091370127604508064020005,0.0090364315486628736802278,0.0089344947837582075484084,0.0088312177572487500253183,0.0087266159616988071403366,0.0086207050884010143053688,0.0085135010250224906938384,0.0084050198532215357561803,0.0082952778462352254251714,0.0081842914664382699356198,0.0080720773628734995009470,0.0079586523687543483536132,0.0078440334989397118668103,0.0077282379473815556311102,0.0076112830845456594616187,0.0074931864548058833585998,0.0073739657738123464375724,0.0072536389258339137838291,0.0071322239610753900716724,0.0070097390929698226212344,0.0068862026954463203467133,0.0067616333001737987809279,0.0066360495937810650445900,0.0065094704150536602678099,0.0063819147521078805703752,0.0062534017395424012720636,0.0061239506555679325423891,0.0059935809191153382211277,0.0058623120869226530606616,0.0057301638506014371773844,0.0055971560336829100775514,0.0054633085886443102775705,0.0053286415939159303170811,0.0051931752508692809303288,0.0050569298807868423875578,0.0049199259218138656695588,0.0047821839258926913729317,0.0046437245556800603139791,0.0045045685814478970686418,0.0043647368779680566815684,0.0042242504213815362723565,0.0040831302860526684085998,0.0039413976414088336277290,0.0037990737487662579981170,0.0036561799581425021693892,0.0035127377050563073309711,0.0033687685073155510120191,0.0032242939617941981570107,0.0030793357411993375832054,0.0029339155908297166460123,0.0027880553253277068805748,0.0026417768254274905641208,0.0024951020347037068508395,0.0023480529563273120170065,0.0022006516498399104996849,0.0020529202279661431745488,0.0019048808534997184044191,0.0017565557363307299936069,0.0016079671307493272424499,0.0014591373333107332010884,0.0013100886819025044578317,0.0011608435575677247239706,0.0010114243932084404526058,0.0008618537014200890378141,0.0007121541634733206669090,0.0005623489540314098028152,0.0004124632544261763284322,0.0002625349442964459062875,0.0001127890178222721755125}; - -// GL quadrature for 64 (proper) abscissae - used for numerical kernel angular integration -const double x32[32] = {-0.997264, -0.985612, -0.964762, -0.934906, -0.896321, -0.849368, --0.794484, -0.732182, -0.663044, -0.587716, -0.5069, -0.421351, --0.331869, -0.239287, -0.144472, -0.0483077, 0.0483077, 0.144472, -0.239287, 0.331869, 0.421351, 0.5069, 0.587716, 0.663044, 0.732182, -0.794484, 0.849368, 0.896321, 0.934906, 0.964762, 0.985612, 0.997264}; -const double w32[32] = {0.00701862, 0.0162744, 0.0253919, 0.0342739, 0.0428358, 0.0509981, -0.0586841, 0.0658222, 0.0723458, 0.0781939, 0.0833119, 0.0876521, -0.0911739, 0.0938444, 0.0956387, 0.0965401, 0.0965401, 0.0956387, -0.0938444, 0.0911739, 0.0876521, 0.0833119, 0.0781939, 0.0723458, -0.0658222, 0.0586841, 0.0509981, 0.0428358, 0.0342739, 0.0253919, -0.0162744, 0.00701862}; - - -// angular integration limits -const real XMAX = x128[255]; -const real XMIN = x128[0]; - -// PS integration magnitude limits -const real QMINp = 1e-4; -const real QMAXp = 30.; - - -//Kernel array declation - -extern double F1_nk; -extern double G1_nk; - -extern double F1q_nk; -extern double G1q_nk; - -extern double F1kmp_nk; -extern double G1kmp_nk; - -extern double F1p_nk; -extern double G1p_nk; - -extern double F1p_nkp; -extern double G1p_nkp; - -extern double F2A_nk; -extern double G2A_nk; - -extern double F2B_nk; -extern double G2B_nk; - -extern double F2C_nk; -extern double G2C_nk; - -extern double F2D_nk; -extern double G2D_nk; - -extern double F2_nk; -extern double G2_nk; - -extern double F2_nkp; -extern double G2_nkp; - -extern double F3_nk; -extern double G3_nk; - -extern double F3_nkp; -extern double G3_nkp; - - - ///// EVOLUTION FACTORS //////// - - // LCDM -extern double Dl_spt; - // DGP -extern double D_spt; // -extern double F_spt; // -extern double Cx_spt; -extern double I_spt; -extern double J_spt; -extern double K_spt; -extern double KL_spt; -extern double F3_spt; // - - - //derivatives of evolution factors - //LCDM - extern double fl_spt; - //DGP - extern double fdgp_spt; - extern double Dd_spt; - extern double Fd_spt; - extern double Cdx_spt; - extern double Id_spt; - extern double Jd_spt; - extern double Kd_spt; - extern double KLd_spt; - extern double F3d_spt; - - // 4th order evolution factors for DGP - extern double evol4[34]; - extern double devol4[34]; - -//Hubble at chosen scale factor - extern double H_spt; - -// Normalisation of linear power spectrum (Dl @ a=1) - extern double dnorm_spt; - - -// correction to evolving DE virial concentration (see HALO.cpp, cvirial) -extern double g_de; - -class IOW { -public: - - // Initialisation of evolution factors for analytic kernels as well as linear power spectrum normalisation (dnorm_spt) - // A is the scale factor - // omega0 is the matter density param - // par1,par2,par3 are the mg parameters (generally only par1 is used) - void inite(double A, double omega0, double par1, double par2, double par3); - // Evolution factors including those for f4/g4 DGP KERNELS (slower than inite) - void inite2(double A, double omega0, double par1, double par2, double par3); - -// numerical kernel initialisation functions - void initn_lin(double A, double k, double omega0, double par1, double par2, double par3); // linear growth function solver - void initn2(double A, double k[], double x[], double kargs[], double omega0, double par1, double par2, double par3); // 1-loop kernel solver - void initn2_pseudo(double A, double k[], double x[], double kargs[], double omega0, double par1, double par2, double par3); // 1-loop pseudo spectrum kernel solver - void initn3(double redshifts[], int noz, double k[], double x[], double kargs[], double omega0, double par1, double par2, double par3, double mykernelarray[][12]); // 1-loop kernel (real and pseudo) solver for array of redshifts -- used in reaction for lensing - void initn_rsd(double A, double k[], double x[], double kargs[], double omega0, double par1, double par2, double par3); // 1-loop TNS solver (also solves for ABC correction term kernels) - void initnorm_ide(double A, double omega0, double par1, double par2, double par3, int par4); // wCDM or GR power spectrum normalisation - -}; - - -// hubble functions --- lcdm -double HA(double a, double omega0); -double HA1(double a, double omega0); -double HA2(double a, double omega0); - -// hubble functions --- general -double HAg(double a, double omega0, double p1, double p2, double p3); -double HA1g(double a, double omega0, double p1, double p2, double p3); -double HA2g(double a, double omega0, double p1, double p2, double p3); -double HA2g2(double a, double omega0, double p1, double p2, double p3); -// Spherical collapse contribution of DE -double WEFF(double a, double omega0, double p1, double p2, double p3); - -// Modified gravity functions -// 1-loop PT (1606.02520) -double mu(double a, double k0, double omega0, double p1, double p2, double p3 ); -double gamma2(double a, double omega0, double k0, double k1, double k2, double u1, double p1, double p2, double p3 ); -double gamma3(double a, double omega0, double k0, double k1, double k2, double k3, double u1,double u2, double u3, double p1, double p2, double p3); -// spherical collapse (1812.05594 - appendix) -double mymgF(double a, double yh, double yenv, double Rth, double omega0, double p1, double p2, double p3, double delta_initial); - - -// standard PT kernels -double alpha(double k1, double k2, double u1); -double alphas(double k1, double k2, double u1); -double beta1(double k1, double k2, double u1); - - -//// EINSTEIN DE SITTER THEORY KERNEL FUNCTIONS ///// - -/*EDS Kernels for DGP and GR*/ - -//2nd order LCDM -double F2eds(double k1, double k2, double u1); -double G2eds(double k1, double k2, double u1); - -// 2nd order DGP -double F2ndgp(double k1, double k2, double u1); -double G2ndgp(double k1, double k2, double u1); - -//3rd order LCDM -double F3eds(double k1, double k2, double k3, double u1, double u2, double u3); -double G3eds(double k1, double k2, double k3, double u1, double u2, double u3); -// optimised input -double F3edsb(double k1, double k2, double k3, double k4, double k5, double k6, double x1, double x2, double x3); -double G3edsb(double k1, double k2, double k3, double k4, double k5, double k6, double x1, double x2, double x3); - -//3rd order DGP -double F3ndgp(double k1, double k2, double k3, double x1, double x2, double x3); -double G3ndgp(double k1, double k2, double k3, double x1, double x2, double x3); -// optimised input -double F3bdgp(double k[],double x[]); -double G3bdgp(double k[],double x[]); - -//4th order LCDM -double F4eds(double k[], double x[]); -double G4eds(double k[], double x[]); -// optimised input -double F4edsb(double k1, double k2, double k3, double k4, double x1, double x2,double x3, double x4, double x5); -double G4edsb(double k1, double k2, double k3, double k4, double x1, double x2,double x3, double x4, double x5); - -// 4th order DGP -double F4dgp(double k[], double x[]); -double G4dgp(double k[], double x[]); - -// F2 fitting functions as in Gil-Marin and Scoccimaro Bispectrum papers -double F2fit(double vars[], double k1, double k2, double x); -double F2fitsc(double vars[], double k1, double k2, double x); - -/* multipole factors : Example for TNS: (2l+1)/2 * integ dmu e^(-(k*f*sigma_v*mu)^2) * mu^(2n) * P_l(mu) */ -// a =1 : monopole -// a =2 : quadrupole -// a =3 : hexdecapole -// e selects multipole factor (1-3: Resummed, 4-5: Matsubara, 6:TNS) -double factL(real k, real sigma_v, real F0, real anw, int n, int a, int e ); - -/* Fingers of god term in exponential form */ -// a =1 : LCDM -// a =2 : nDGP -// a =3 : numerical (arbitrary model) -double DFOG(real k, real u, double sigma_v, int a); - -/* Minimum and maximum functions */ -double Min(real a, real b); -double Max(real a, real b); - -/* Cylindrical Bessel functions */ -double BesselJ0(double x); -double BesselJ1(double x); -double BesselJn(int n, double x); - -// Legendre polynomials -double legendre(int order, double x ); - -/* Spherical Bessel functions */ -double SphericalBesselJ0(double x); -double SphericalBesselJ1(double x); -double SphericalBesselJ2(double x); -double SphericalBesselJ3(double x); -double SphericalBesselJ4(double x); - - -/* Gamma function: - * \Gamma(a) = \int_0^\infty t^{a-1} e^{-t} dt */ -double Gamma(double a); - -/* Natural logarithm of gamma function: - * \log \Gamma(a) */ -double LogGamma(double a); - -/* Unnormalized lower incomplete gamma function: - * \gamma(a,x) = \int_0^x t^{a-1} e^{-t} dt */ -double LowerGamma(double a, double x); - -/* Unnormalized upper incomplete gamma function: - * \Gamma(a,x) = \int_x^\infty t^{a-1} e^{-t} dt */ -double UpperGamma(double a, double x); - -class integral -{ - ////////// Con-/destructor & initializer////////// -public: - integral( ); - ~integral( ); - void clear( ); - void clear( const unsigned & size ); - - ////////// Data buffer ////////// -private: - std::vector x_buf, y_buf; - - ////////// Read data ////////// -public: - void read( const double & x, const double & y ); - - ////////// Feed back ////////// -public: - double result( ); - - ////////// Gauss-Legendre ////////// -public: - void gl_clear ( ); - double gl_xi ( const int & i ); - void gl_read ( const int & i, const double & kernel ); - double gl_result( ); - static const int gl_num; -public: - double gl_intg_res; - static const double x[ ]; - static const double w[ ]; -}; - -#endif // SPECIALFUNCTIONS_H diff --git a/reactions/include/Copter/Spline.h b/reactions/include/Copter/Spline.h deleted file mode 100644 index ad4f88d..0000000 --- a/reactions/include/Copter/Spline.h +++ /dev/null @@ -1,82 +0,0 @@ -#ifndef SPLINE_H -#define SPLINE_H - -/* TODO: - * - Allow user-defined behavior for out-of-range requests (i.e. x < xmin or - * x > xmax). - * - Also allow configurable index lookup, in cases where the domain points - * are known to be spaced linearly, logarithmically, etc. - */ - -#include -using std::vector; - -#include "Common.h" - -class Spline; -class SplineImpl; - -/***** Spline factory functions *****/ - -/* Linear interpolation */ -Spline LinearSpline(const vector& X, const vector& Y); -Spline LinearSpline(int N, const real* X, const real* Y); - -/* Shifted linear interpolation (see Blu, Thevenaz, and Unser, 2004) */ -Spline ShiftedLinearSpline(const vector& X, const vector& Y, real tau = 0.2); -Spline ShiftedLinearSpline(int N, const real* X, const real* Y, real tau = 0.2); - -/* Natural cubic spline */ -Spline CubicSpline(const vector& X, const vector& Y); -Spline CubicSpline(int N, const real* X, const real* Y); - - -/*************************************************************** - * Spline - * - * Generic spline wrapper class. - ***************************************************************/ -class Spline { -public: - /* Default to cubic spline */ -// Spline(const vector& X, const vector& Y); -// Spline(int N, const real* X, const real* Y); - - Spline(SplineImpl* impl = NULL); - Spline(const Spline& F); - Spline& operator=(const Spline& F); - ~Spline(); - - real Evaluate(real x) const; - real EvaluateDerivative(real x) const; - - real operator()(real x) const { return Evaluate(x); } - - /* Find a local maximum or minimum of the interpolated function */ -// real FindMaximum(real xguess, real* ymax = 0); -// real FindMinimum(real xguess, real& ymin = 0); - -protected: - SplineImpl* impl; // internal spline implementation -}; - - -/************************************************** - * SplineImpl - * - * Base class for internal spline implementations. - **************************************************/ -struct SplineImpl { - int refcount; - - SplineImpl() { refcount = 0; } - virtual ~SplineImpl() {} - - virtual real y(real x) const = 0; - virtual real dydx(real x) const = 0; - virtual SplineImpl* clone() const = 0; - - real xmin, xmax; // domain -}; - -#endif // SPLINE_H diff --git a/reactions/include/Copter/Timer.h b/reactions/include/Copter/Timer.h deleted file mode 100644 index b2dc030..0000000 --- a/reactions/include/Copter/Timer.h +++ /dev/null @@ -1,25 +0,0 @@ -#ifndef TIMER_H -#define TIMER_H - -#include - - -/* Timer: A simple utility class for timing operations. */ - -class Timer { -public: - Timer(); - - void Start(); - - float CpuTimeElapsed(); - int WallTimeElapsed(); - - void Report(const char* s = ""); - void ReportAndReset(const char* s = ""); - - clock_t clock_start; - time_t time_start; -}; - -#endif // TIMER_H diff --git a/reactions/include/Copter/array.h b/reactions/include/Copter/array.h deleted file mode 100644 index a2daf9d..0000000 --- a/reactions/include/Copter/array.h +++ /dev/null @@ -1,139 +0,0 @@ -#ifndef ARRAY_H -#define ARRAY_H - -#include - -#include "Common.h" - -/* A simple multi-dimensional (up to 3) array, based on Numpy's array type. - * The multi-dimensional array is represented in memory as a flat array - * inherited from the STL vector class. For 1-D arrays it may be used as - * a plain old std::vector. For 2-D and 3-D arrays, the storage order - * is row major. */ -class array : public std::vector { -public: - /* Construct an empty (0-dimensional) array. */ - array(); - - /* Construct an array with arbitrary initial values. */ - explicit array(size_type n0); - array(size_type n0, size_type n1); - array(size_type n0, size_type n1, size_type n2); - - /* Construct a 1-D array of length n, with all elements set to r. */ -// array(size_type n, real r); - - /* Construct an array with elements initialized from the C-array v. For - * 2-D arrays, the data elements are presumed to be laid out in memory as - * a_{ij} = v[n1*i + j] , - * i.e. in row-major order. For 3-D arrays the memory layout is - * a_{ijk} = v[n2*(n1*i + j) + k] . */ - array(size_type n0, const real* v); - array(size_type n0, size_type n1, const real* v); - array(size_type n0, size_type n1, size_type n2, const real* v); - - /* Construct a 1-D array from an STL vector */ - array(const std::vector& v); - - /* Copy constructor. */ - array(const array& v); - - /* Assignment. This array is resized, and the elements of v are copied. */ - array& operator=(const array& v); - - /* Destructor. */ - ~array(); - - /* Construct an array with values initialized to zero. */ - static array zeros(size_type n0); - static array zeros(size_type n0, size_type n1); - static array zeros(size_type n0, size_type n1, size_type n2); - - /* Construct an array with values initialized to one. */ - static array ones(size_type n0); - static array ones(size_type n0, size_type n1); - static array ones(size_type n0, size_type n1, size_type n2); - - /* Constuct a 1-D array of length n with linearly or logarithmically spaced - * values between min and max. Note that if min is greater than max, the - * values will be arranged in descending order. Also note that for - * logspace(), both min and max must be strictly positive. */ - static array linspace(real min, real max, size_type n = 50); - static array logspace(real min, real max, size_type n = 50); - - /* Resize this array. */ - void resize(size_type n0); - void resize(size_type n0, size_type n1); - void resize(size_type n0, size_type n1, size_type n2); - - /* Transpose the current array over two axes. */ -// void transpose(int axis0 = 0, int axis1 = 1); - - void getshape(size_type* n0, size_type* n1, size_type* n2) const; - - real min() const; - real max() const; - array abs() const; - - /* Standard flat accessors. */ - const real& operator[](int i) const { return std::vector::operator[](i); } - real& operator[](int i) { return std::vector::operator[](i); } - - /* Accessors for 1-D arrays */ - const real& operator()(int i0) const { return (*this)[i0]; } - real& operator()(int i0) { return (*this)[i0]; } - - /* Accessors for 2-D arrays */ - const real& operator()(int i0, int i1) const { return (*this)[i0*n[1] + i1]; } - real& operator()(int i0, int i1) { return (*this)[i0*n[1] + i1]; } - - /* Accessors for 3-D arrays */ - const real& operator()(int i0, int i1, int i2) const { return (*this)[(i0*n[1] + i1)*n[2] + i2]; } - real& operator()(int i0, int i1, int i2) { return (*this)[(i0*n[1] + i1)*n[2] + i2]; } - - /* Automatic cast to C-array. Note that the returned pointer is only valid - * as long as this array is not resized. */ - operator real*() { return data(); } - operator const real*() const { return data(); } - - /* Arithmetic operations. Note that these methods do not check the shape - * of the array v, only that its total size equals the total size of this - * array. */ - array& operator+=(const array& v); // element-wise addition - array& operator-=(const array& v); // element-wise subtraction - array& operator*=(const array& v); // element-wise multiplication - array& operator/=(const array& v); // element-wise division - array& operator+=(real s); // add a constant from each element - array& operator-=(real s); // subtract a constant from each element - array& operator*=(real s); // multiplication by a constant - array& operator/=(real s); // division by a constant - -protected: - size_type n[3]; // shape of array - - enum Spacing { - LinearSpacing, - LogarithmicSpacing - }; - array(size_type n0, real min, real max, Spacing mode); - - array(size_type n0, size_type n1, size_type n2, real r); -}; - -array operator-(const array& v); // unary negation -array operator+(const array& u, const array& v); -array operator-(const array& u, const array& v); -array operator*(const array& u, const array& v); -array operator/(const array& u, const array& v); -array operator+(const array& u, real s); -array operator+(real s, const array& u); -array operator-(const array& u, real s); -array operator*(const array& u, real s); -array operator*(real s, const array& u); -array operator/(const array& u, real s); - -real min(const array& v); -real max(const array& v); -array abs(const array& v); - -#endif // ARRAY_H diff --git a/reactions/include/Copter/cfg.h b/reactions/include/Copter/cfg.h deleted file mode 100644 index 8995d14..0000000 --- a/reactions/include/Copter/cfg.h +++ /dev/null @@ -1,121 +0,0 @@ -#ifndef CFG_H -#define CFG_H - -/* TODO: - * - rename cfg_set_format to cfg_set_printf and add cfg_get_scanf - * */ - -#ifdef __cplusplus -extern "C" { -#endif - -#include - -/* Defines */ -#define CFG_MAX_LINE_LENGTH 8192 -#define CFG_MAX_VALUE_LENGTH 2048 -//#define CFG_THREAD_SAFE 0 - -/* Error codes */ -#define CFG_OKAY 0 -#define CFG_MISSING_KEY_ERROR 1 -#define CFG_WRONG_TYPE_ERROR 2 -#define CFG_STREAM_ERROR 3 -#define CFG_FILE_ERROR 4 -#define CFG_PARSE_ERROR 5 - -/* Opaque data type for configuration databases */ -typedef struct _Config* Config; - -/* Create an empty configuration database */ -Config cfg_new(); - -/* Create a new configuration database from the contents of the given file */ -Config cfg_new_from_file(const char* filename); -Config cfg_new_from_stream(FILE* f); - -/* Create a new configuration database from an existing one */ -Config cfg_new_copy(Config orig); - -/* Create a new configuration database from an existing one, keeping only those - * entries that begin with the specified prefix. If 'strip' is nonzero, the - * prefix will be stripped from all entries. */ -Config cfg_new_sub(Config cfg, const char* prefix, int strip); - -/* Destroy a configuration database and free all associated memory */ -void cfg_destroy(Config cfg); - -/* Read additional configuration options */ -int cfg_read (Config cfg, FILE* f); -int cfg_read_file(Config cfg, const char* filename); -int cfg_read_line(Config cfg, const char* line); - -int cfg_write (Config cfg, FILE* f); -int cfg_write_file(Config cfg, const char* filename, const char* mode); - -#if 0 -/* Append the contents of one configuration database to another */ -void cfg_append(Config dst, Config src); -#endif - -/* Set the specified configuration option */ -void cfg_set (Config cfg, const char* key, const char* value); -void cfg_set_char (Config cfg, const char* key, char value); -void cfg_set_short (Config cfg, const char* key, short value); -void cfg_set_int (Config cfg, const char* key, int value); -void cfg_set_long (Config cfg, const char* key, long value); -void cfg_set_uchar (Config cfg, const char* key, unsigned char value); -void cfg_set_ushort(Config cfg, const char* key, unsigned short value); -void cfg_set_uint (Config cfg, const char* key, unsigned int value); -void cfg_set_ulong (Config cfg, const char* key, unsigned long value); -void cfg_set_float (Config cfg, const char* key, float value); -void cfg_set_double(Config cfg, const char* key, double value); -void cfg_set_format(Config cfg, const char* key, const char* fmt, ...); - -/* Return 1 if the specified key exists, 0 otherwise */ -int cfg_has_key(Config cfg, const char* key); -int cfg_has_keys(Config cfg, const char* keys, const char* sep); - -/* Get the specified configuration option, without error checking */ -const char* cfg_get (Config cfg, const char* key); -char cfg_get_char (Config cfg, const char* key); -short cfg_get_short (Config cfg, const char* key); -int cfg_get_int (Config cfg, const char* key); -long cfg_get_long (Config cfg, const char* key); -unsigned char cfg_get_uchar (Config cfg, const char* key); -unsigned short cfg_get_ushort(Config cfg, const char* key); -unsigned int cfg_get_uint (Config cfg, const char* key); -unsigned long cfg_get_ulong (Config cfg, const char* key); -float cfg_get_float (Config cfg, const char* key); -double cfg_get_double(Config cfg, const char* key); - -int cfg_get_format(Config cfg, const char* key, const char* fmt, ...); - -/* Parse the given configuration option as an array of length at most nmax. - * Return the number of values actually read. */ -int cfg_get_array_int (Config cfg, const char* key, int nmax, int* values); -int cfg_get_array_float (Config cfg, const char* key, int nmax, float* values); -int cfg_get_array_double(Config cfg, const char* key, int nmax, double* values); - -#if 0 -/* Get the specified configuration option, returning an error code if the - * configuration key is not present or if the associated value cannot be - * converted to the desired type. */ -int cfg_get_e (Config cfg, const char* key, const char** value); -int cfg_get_char_e (Config cfg, const char* key, char* value); -int cfg_get_short_e (Config cfg, const char* key, short* value); -int cfg_get_int_e (Config cfg, const char* key, int* value); -int cfg_get_long_e (Config cfg, const char* key, long* value); -int cfg_get_uchar_e (Config cfg, const char* key, unsigned char* value); -int cfg_get_ushort_e(Config cfg, const char* key, unsigned short* value); -int cfg_get_uint_e (Config cfg, const char* key, unsigned int* value); -int cfg_get_ulong_e (Config cfg, const char* key, unsigned long* value); -int cfg_get_float_e (Config cfg, const char* key, float* value); -int cfg_get_double_e(Config cfg, const char* key, double* value); -#endif - -#ifdef __cplusplus -} -#endif - -#endif // CFG_H diff --git a/reactions/include/Copter/cosmo_react.h b/reactions/include/Copter/cosmo_react.h deleted file mode 100644 index 7944817..0000000 --- a/reactions/include/Copter/cosmo_react.h +++ /dev/null @@ -1,48 +0,0 @@ -#ifndef COSMO_REACT_NEW_H -#define COSMO_REACT_NEW_H - -extern "C" { - -//int test_func(int* N, int* M, double array[*N][*M]); - -// //int myreaction(int Nk, int Nz, double powerspectrum[][100], int Nk2, double kvals[], int Nz2, const double zvals[], double cosmology[], double fR0, int No1, int No2, double output[][100]); -// int compute_reaction(int* N_k_pk, int* N_z_pk, double powerspectrum[*N_k_pk][*N_z_pk], -// int* N_k, double kvals[*N_k], -// int* N_z, double zvals[*N_z], -// double* h, double* n_s, double* Omega_m, double* Omega_b, double* sigma_8, -// double* fR0, -// int* N_k_react, int* N_z_react, double output[*N_k_react][*N_z_react]); -// -// - - int test_func(int* N, int* M, double* array); - - // int compute_reaction(int* N_k_pk, double* powerspectrum, - // int* N_k, double* kvals, - // int* N_z, double* zvals, - // bool* is_transfer, - // double* h, double* n_s, double* Omega_m, double* Omega_b, double* sigma_8, - // double* fR0, - // int* N_k_react, int* N_z_react, double* output); - // - - int compute_reaction(int* N_k_pk, double* powerspectrum, - int* N_k, double* kvals, - int* N_z, double* zvals, - bool* is_transfer, - double* h, double* n_s, double* Omega_m, double* Omega_b, double* sigma_8, - double* fR0, int* mass_loop, - int* N_k_react, int* N_z_react, double* output_react, - int* N_k_pl, int* N_z_pl, double* output_pl); - - - -// specify transfer function at z=0 (transfer) at k-values given by kvalst in an array of size N_k_t -// Output at scales given in array kvalsout (size N_k_out) and at redshifts given in zvals array -int compute_reaction_new(int* N_k_t, int* N_z, double* transfer, double* kvalst, double* zvals, - double* h, double* n_s, double* Omega_m, double* Omega_b, double* sigma_8, - double* fR0, - int* N_k_out, double* kvalsout, double* output); -} - -#endif diff --git a/reactions/include/Copter/pstring.h b/reactions/include/Copter/pstring.h deleted file mode 100644 index dfcb381..0000000 --- a/reactions/include/Copter/pstring.h +++ /dev/null @@ -1,110 +0,0 @@ -#ifndef PSTRING_HH -#define PSTRING_HH - -#include -#include - -/* A note about generalized indices: - * This class is meant to mimic Python's string functionality. In particular, - * it uses what I call "generalized indices", meaning that any integer - * (positive or negative) is a valid index. The mapping from a generalized - * index 'i' to an actual string position, for a string of length 'n', is: - * i -> 0 for i < -n, - * i -> i + n for -n <= i < 0, - * i -> i for 0 <= i < n, - * i -> n - 1 for i >= n. - */ - -/********************************************************************** - * pstring - * - * A wrapper around std::string, adding a lot of convenient functionality. - * The class interface is modeled off Python's builtin string type. - *********************************************************************/ -class pstring : public std::string { -public: - pstring(); - pstring(const std::string& s, size_type pos = 0, size_type n = npos); - pstring(const char* s); - pstring(const char* s, size_type n); - pstring(char c, size_type n = 1); - - /* Assignment */ - pstring& operator=(const std::string& s); - pstring& operator=(const char* s); - pstring& operator=(char c); - - /* Concatenate strings */ - pstring& operator+=(const std::string& s); - pstring& operator+=(const char* s); - pstring& operator+=(char c); - - /* Return the character at the generalized index 'i' */ - char get(int i) const; - - /* Return the substring between generalized indices 'i' and 'j' */ - pstring slice(int i) const; - pstring slice(int i, int j) const; - - /* Return the first or last 'n' characters of the string */ - pstring head(unsigned int n = 1) const; - pstring tail(unsigned int n = 1) const; - - /* Strip whitespace from the ends of the string */ - pstring rstrip() const; - pstring lstrip() const; - pstring strip() const; - void strip(bool); - - /* Strip quotes from a string */ - pstring stripquotes() const; - void stripquotes(bool); - - /* Case conversion methods */ - pstring capitalize() const; - pstring lower() const; - pstring upper() const; - - /* Test whether the string contains the specified characters */ - bool contains(char c) const; - bool contains(const char* s) const; - bool contains(const std::string& s) const; - - /* Test whether the string starts or ends with the specified character or substring */ - bool startswith(char c) const; - bool startswith(const char* s) const; - bool startswith(const std::string& s) const; - bool endswith(char c) const; - bool endswith(const char* s) const; - bool endswith(const std::string& s) const; - - /* Count the number of occurrences of the specified character or substring */ - int count(char c) const; - int count(const char* c) const; - int count(const std::string& s) const; - - /* Read up until the first newline character, starting from position 'm' */ - pstring firstline(unsigned int m = 0) const; - - /* Split the string into whitespace-separated components */ - std::vector split() const; - - /* Split the string into components separated by 'sep' */ - std::vector split(char sep, bool strip_results = true) const; - - /* Automatic conversion to C-style strings */ -// operator const char*() const; - - /* Numeric conversions */ - operator bool() const; - operator long() const; - operator double() const; -}; - -pstring str(bool b); -pstring str(int i); -pstring str(float f); -pstring str(double d); -pstring str(double d, int precision); - -#endif // PSTRING_HH diff --git a/reactions/include/Copter/rng.h b/reactions/include/Copter/rng.h deleted file mode 100644 index 7e9b02a..0000000 --- a/reactions/include/Copter/rng.h +++ /dev/null @@ -1,96 +0,0 @@ -#ifndef RNG_H -#define RNG_H - -#ifdef __cplusplus -extern "C" { -#endif - -/* Mersenne Twister pseudo-random number generator. Based on the - * implementation of src/common/Random.c of Cuba 1.4, itself an adaptation of - * the original C code of T. Nishimura and M. Matsumoto from - * http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/emt.html */ - -/* 32 or 53 random bits */ -#ifndef MERSENNE_NBITS -#define MERSENNE_NBITS 32 -#endif - -/* Length of state vector */ -#define MERSENNE_N 624 - -/* Period parameter */ -#define MERSENNE_M 397 - -/* Standard interface. Uses static state vector. Not thread-safe. */ -void rng_init(unsigned int seed); -unsigned int rng_random(); -double rng_uniform(); // return value lies in half-open interval [0,1) - -typedef struct { - unsigned int state[MERSENNE_N]; - int next; -} rng_state; - -/* Thread-safe variants. User allocates a 'rng_state' variable, initializes it - * with a call to 'rng_init_r()', then draws randoms from it with either - * 'rng_random_r()' or 'rng_uniform_r()'. */ -void rng_init_r(rng_state *rng, unsigned int seed); -unsigned int rng_random_r(rng_state *rng); -double rng_uniform_r(rng_state *rng); - - - -/* Sampling from non-uniform distributions. */ - -/* Standard normal distribution */ -double rng_normal(); -double rng_normal_r(rng_state *rng); - -/* Exponential distribution */ -double rng_exponential(double lambda); -double rng_exponential_r(rng_state *rng, double lambda); - -/* Poisson distribution (note that the return value is integral, even though - * it is returned as a double; cast to int as desired) */ -double rng_poisson(double mu); -double rng_poisson_r(rng_state *rng, double mu); - - -/* Sobol quasi-random sequence generator. Based on ACM TOMS algorithm 659, - * adapted from src/common/Random.c of Cuba 1.4. - * - * Here's a usage example showing how to perform quasi-Monte Carlo integration - * of the function f(x,y,z) over the unit cube: - * - * int i, npoints = 1000000; - * double x[3], sum; - * Sobol seq; - * rng_sobol_init(&seq, 3); - * for(i = 0; i < npoints; i++) { - * rng_sobol_get(&seq, x); - * sum += f(x[0], x[1], x[2]); - * } - * sum /= npoints; - */ - -/* Maximum dimension of Sobol sample space */ -#ifndef SOBOL_MAXDIM -#define SOBOL_MAXDIM 8 -#endif - -typedef struct { - int ndim; - double norm; - int v[SOBOL_MAXDIM][30], prev[SOBOL_MAXDIM]; - int seq; -} Sobol; - -void rng_sobol_init(Sobol *sobol, int ndim); -void rng_sobol_get(Sobol *sobol, double *x); -void rng_sobol_skip(Sobol *sobol, int n); - -#ifdef __cplusplus -} -#endif - -#endif // RNG_H diff --git a/reactions/share/Copter/M000.ini b/reactions/share/Copter/M000.ini deleted file mode 100644 index 76edb00..0000000 --- a/reactions/share/Copter/M000.ini +++ /dev/null @@ -1,9 +0,0 @@ -# "Model 0" cosmology for TreePM runs - -h = 0.72 -Tcmb = 2.725 -n = 0.97 -Omega_m = 0.25 -Omega_b = 0.04320987654321 -sigma8 = 0.8 -tkfile = tkfile_000.dat diff --git a/reactions/share/Copter/M001.ini b/reactions/share/Copter/M001.ini deleted file mode 100644 index e502e91..0000000 --- a/reactions/share/Copter/M001.ini +++ /dev/null @@ -1,9 +0,0 @@ -# "Model 1" cosmology for TreePM runs - -h = 0.72 -Tcmb = 2.725 -n = 0.97 -Omega_m = 0.25 -Omega_b = 0.04320987654321 -sigma8 = 1.0 -tkfile = tkfile_001.dat diff --git a/reactions/share/Copter/M002.ini b/reactions/share/Copter/M002.ini deleted file mode 100644 index 0b19ac8..0000000 --- a/reactions/share/Copter/M002.ini +++ /dev/null @@ -1,9 +0,0 @@ -# "Model 2" cosmology - -h = 0.7 -Tcmb = 2.726 -n = 0.97 -Omega_m = 0.25 -Omega_b = 0.045714286 -sigma8 = 0.8 -tkfile = tkfile_002.dat diff --git a/reactions/share/Copter/M003.ini b/reactions/share/Copter/M003.ini deleted file mode 100644 index 0fcd6eb..0000000 --- a/reactions/share/Copter/M003.ini +++ /dev/null @@ -1,9 +0,0 @@ -# "Model 3" cosmology - -h = 0.72 -Tcmb = 2.725 -n = 0.97 -Omega_m = 0.2 -Omega_b = 0.04320987654321 -sigma8 = 0.8 -tkfile = tkfile_003.dat diff --git a/reactions/share/Copter/M004.ini b/reactions/share/Copter/M004.ini deleted file mode 100644 index 41e9a29..0000000 --- a/reactions/share/Copter/M004.ini +++ /dev/null @@ -1,9 +0,0 @@ -# "Model 4" cosmology (very funky) - -h = 0.5 -Tcmb = 2.726 -n = 1.0 -Omega_m = 1.0 -Omega_b = 0.4 -sigma8 = 1.0 -tkfile = tkfile_004.dat diff --git a/reactions/share/Copter/bigpm.ini b/reactions/share/Copter/bigpm.ini deleted file mode 100644 index 163fda7..0000000 --- a/reactions/share/Copter/bigpm.ini +++ /dev/null @@ -1,9 +0,0 @@ -# BigPM cosmology - -h = 0.70 -Tcmb = 2.725 -n = 0.97 -Omega_m = 0.25 -Omega_b = 0.045714 -sigma8 = 0.8 -tkfile = tk_bigpm_new.dat diff --git a/reactions/share/Copter/eds.ini b/reactions/share/Copter/eds.ini deleted file mode 100644 index c2f55e9..0000000 --- a/reactions/share/Copter/eds.ini +++ /dev/null @@ -1,9 +0,0 @@ -# Einstein-de Sitter cosmology - -h = 0.70 -Tcmb = 0 -n = 0.96 -Omega_m = 1.0 -Omega_b = 0.046 -sigma8 = 0.5 -tkfile = tk_eds.dat diff --git a/reactions/share/Copter/matsubara.ini b/reactions/share/Copter/matsubara.ini deleted file mode 100644 index 39b9d15..0000000 --- a/reactions/share/Copter/matsubara.ini +++ /dev/null @@ -1,9 +0,0 @@ -# Matsubara's reference cosmology - -h = 0.72 -Tcmb = 2.726 -n = 1 -Omega_m = 0.27 -Omega_b = 0.046 -sigma8 = 0.9 -tkfile = tk_matsubara.dat diff --git a/reactions/share/Copter/pietroni.ini b/reactions/share/Copter/pietroni.ini deleted file mode 100644 index 7997e25..0000000 --- a/reactions/share/Copter/pietroni.ini +++ /dev/null @@ -1,9 +0,0 @@ -# LCDM cosmology from Pietroni's 2008 "Flowing with time" paper - -h = 0.7 -Tcmb = 2.726 -n = 1 -Omega_m = 0.27 -Omega_b = 0.043 -sigma8 = 0.8 -tkfile = tk_pietroni.dat diff --git a/reactions/share/Copter/reloaded.ini b/reactions/share/Copter/reloaded.ini deleted file mode 100644 index a2437f6..0000000 --- a/reactions/share/Copter/reloaded.ini +++ /dev/null @@ -1,9 +0,0 @@ -# Cosmology from Jeong and Komatsu 2006 (PT Reloaded I) - -h = 0.7 -Tcmb = 2.725 -n = 1 -Omega_m = 0.27 -Omega_b = 0.043 -sigma8 = 0.8 -tkfile = tk_reloaded.dat diff --git a/reactions/share/Copter/rpt.ini b/reactions/share/Copter/rpt.ini deleted file mode 100644 index d1d4096..0000000 --- a/reactions/share/Copter/rpt.ini +++ /dev/null @@ -1,9 +0,0 @@ -# Cosmology from Crocce and Scoccimarro's 2008 RPT paper - -h = 0.72 -Tcmb = 2.726 -n = 1 -Omega_m = 0.27 -Omega_b = 0.046 -sigma8 = 0.9 -tkfile = tk_rpt.dat diff --git a/reactions/share/Copter/rpt_cmbfast.ini b/reactions/share/Copter/rpt_cmbfast.ini deleted file mode 100644 index 8875574..0000000 --- a/reactions/share/Copter/rpt_cmbfast.ini +++ /dev/null @@ -1,10 +0,0 @@ -# Cosmology from Crocce and Scoccimarro's 2008 RPT paper -# using CMBFAST at z = 49 for the transfer function - -h = 0.72 -Tcmb = 2.726 -n = 1 -Omega_m = 0.27 -Omega_b = 0.046 -sigma8 = 0.9 -tkfile = tk_rpt_cmbfast.dat diff --git a/reactions/share/Copter/taruya_hiramatsu.ini b/reactions/share/Copter/taruya_hiramatsu.ini deleted file mode 100644 index 1cc2758..0000000 --- a/reactions/share/Copter/taruya_hiramatsu.ini +++ /dev/null @@ -1,9 +0,0 @@ -# Cosmology from Taruya and Hiramatsu's 2008 "closure theory" paper - -h = 0.7 -Tcmb = 2.725 -n = 1 -Omega_m = 0.27 -Omega_b = 0.043 -sigma8 = 0.8 -tkfile = tk_taruya_hiramatsu.dat diff --git a/reactions/share/Copter/tk_bigpm.dat b/reactions/share/Copter/tk_bigpm.dat deleted file mode 100644 index b0a8f20..0000000 --- a/reactions/share/Copter/tk_bigpm.dat +++ /dev/null @@ -1,1500 +0,0 @@ - 0.7143E-04 0.100000E+01 - 0.7195E-04 0.999999E+00 - 0.7248E-04 0.999997E+00 - 0.7302E-04 0.999996E+00 - 0.7356E-04 0.999995E+00 - 0.7410E-04 0.999993E+00 - 0.7464E-04 0.999992E+00 - 0.7519E-04 0.999990E+00 - 0.7575E-04 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-9.22931e+00 2.08253e-04 -9.30365e+00 2.05329e-04 -9.37860e+00 2.02446e-04 -9.45415e+00 1.99602e-04 -9.53030e+00 1.96798e-04 -9.60707e+00 1.94032e-04 -9.68446e+00 1.91305e-04 -9.76247e+00 1.88616e-04 -9.84111e+00 1.85963e-04 -9.92039e+00 1.83348e-04 -1.00003e+01 1.80768e-04 -1.00809e+01 1.78223e-04 -1.01621e+01 1.75716e-04 -1.02439e+01 1.73244e-04 diff --git a/reactions/share/Copter/valageas.ini b/reactions/share/Copter/valageas.ini deleted file mode 100644 index c77e884..0000000 --- a/reactions/share/Copter/valageas.ini +++ /dev/null @@ -1,7 +0,0 @@ -# Cosmology from Valageas' 2007 "Large-N expansions" paper - -h = 0.5 -Tcmb = 2.725 -n = 1 -Omega_m = 1 -Omega_b = 0 diff --git a/reactions/share/Copter/wmap5.ini b/reactions/share/Copter/wmap5.ini deleted file mode 100644 index c57f5b6..0000000 --- a/reactions/share/Copter/wmap5.ini +++ /dev/null @@ -1,9 +0,0 @@ -# Best-fit LCDM parameters from 5-year WMAP data - -h = 0.719 -Tcmb = 2.726 -n = 0.963 -Omega_m = 0.258 -Omega_b = 0.0441 -sigma8 = 0.796 -tkfile = tk_wmap5.dat diff --git a/reactions/share/Copter/yoshida.ini b/reactions/share/Copter/yoshida.ini deleted file mode 100644 index aff30f1..0000000 --- a/reactions/share/Copter/yoshida.ini +++ /dev/null @@ -1,10 +0,0 @@ -# Cosmology from Yoshida, Sheth, and Diaferio 2001 -# (also used in Scoccimarro 2004) - -h = 0.7 -Tcmb = 2.725 -n = 1 -Omega_m = 0.3 -Omega_b = 0.04 -sigma8 = 0.9 -tkfile = tk_yoshida.dat diff --git a/reactions/src/BSPTN.cpp b/reactions/src/BSPTN.cpp index db07163..1dc8b2e 100644 --- a/reactions/src/BSPTN.cpp +++ b/reactions/src/BSPTN.cpp @@ -185,7 +185,7 @@ int funcb1dgp(double a, const double G[], double F[], void *params) double acub = pow3(a); // DGP - double betadgp = 1./(3.*(mu(a,1.,omega0,p1,p2,p3)-1.)); + double betadgp = 1./(3.*(mu(a,1.,omega0,p1,p2,p3,3)-1.)); double betadgpcub = pow3(betadgp); double mua = 1.+1./(3.*betadgp); double gam2= -1./(hubsqr*24.*betadgpcub*p1)*pow2(omega0/acub); diff --git a/reactions/src/HALO.cpp b/reactions/src/HALO.cpp index d86209c..d8a93bd 100644 --- a/reactions/src/HALO.cpp +++ b/reactions/src/HALO.cpp @@ -91,7 +91,7 @@ static real sigma_integrand(const PowerSpectrum& P, real R, real k) { } -// d(sigma_8^2)/dR +// d(sigma_8^2)/dR static real sigma8d_integrand(const PowerSpectrum& P, real R, real k) { return k*k/(2.*M_PI*M_PI) * P(k) * pow2(Dl_spt/dnorm_spt) * 2.*W(k*R)*Wd(k,R) ; } @@ -104,8 +104,11 @@ Spline a_vir; Spline delta_avir; Spline mysig; Spline mysigp; -void HALO::scol_init(double vars[]) const{ +// model; 1: GR, 2: f(R) Hu Sawicki, n=1 3: DGP normal branch +int HALO::scol_init(double vars[], int model ) const{ SCOL scol; + + int status = 0; // number of points in mass loop (default is 30) int loop_N = (int)vars[5]; @@ -146,7 +149,10 @@ for(int i = 0; i< loop_N; i++){ double Rth = 0.1*pow((Gnewton*pow(10, lgmass[i]))/(5.*vars[1]),ONE/THREE); // initialise delta_c, a_vir, delta_vir - scol.myscol(myscolparams, vars[0], vars[1], Rth, sig1, sig2, pars, 2, yenvf); + scol.myscol(myscolparams, vars[0], vars[1], Rth, sig1, sig2, pars, model, yenvf); + if(scol.error.errorno != 0) { + status = scol.error.errorno; + } // calculate sigma^2 sigar[i] = sqrt(Integrate(bind(sigma_integrand, cref(P_l), Rth, std::placeholders::_1), 1e-4, 50., 1e-5, 1e-5)); @@ -169,6 +175,8 @@ for(int i = 0; i< loop_N; i++){ // delta_virial delta_avir = CubicSpline(loop_N,lgmass,scolar2); + return status; + } @@ -191,12 +199,14 @@ static real sigma8d_integrandp(const PowerSpectrum& P, real R, real k) { } -void HALO::scol_initp(double vars[]) const{ +// model; 1: GR, 2: f(R) Hu Sawicki, n=1 3: DGP normal branch +int HALO::scol_initp(double vars[],int model) const{ SCOL scol; IOW iow; + int status = 0; int loop_N = 30; - int loop_Nk = 300; + int loop_Nk = 600; // arrays to store values double myscolparams[3],lgmass[loop_N],sigar[loop_N],scolar0[loop_N],scolar1[loop_N],scolar2[loop_N]; @@ -204,12 +214,12 @@ void HALO::scol_initp(double vars[]) const{ // initialise linear growth spline for the theory of gravity/dark energy. See specialfunctions.cpp mu,gamma2,gamma3 functions double kmin = 1e-5; - double kmax = 100.; + double kmax = 120.; for(int i = 0; i< loop_Nk; i++){ kval_tab[i] = kmin * exp(i*log(kmax/kmin)/(loop_Nk-1.)); // numerical initialisation of linear growth in general theory of gravity/dark energy - see SpecialFunctions.cpp - iow.initn_lin(vars[0], kval_tab[i], vars[1],vars[2], vars[3], vars[4]); + iow.initn_lin(vars[0], kval_tab[i], vars[1],vars[2], vars[3], vars[4],model); ling_tab[i] = F1_nk/dnorm_spt; } @@ -221,7 +231,9 @@ void HALO::scol_initp(double vars[]) const{ double sig1 = Integrate(bind(sigma_integrandp, cref(P_l), 8., std::placeholders::_1), 1e-4, 50., 1e-3); double sig2 = Integrate(bind(sigma8d_integrandp, cref(P_l), 8., std::placeholders::_1), 1e-4, 50., 1e-3); - +// feed back modified sigma8 + vars[6] = sqrt(sig1); + // theory params double pars[4]; pars[0] = 1e-15; @@ -232,6 +244,9 @@ double sig2 = Integrate(bind(sigma8d_integrandp, cref(P_l), 8., std::pla // initialise spherical collapse quantities in GR (independent of R (or M)) scol.myscol(myscolparams, vars[0], vars[1], 1., sig1, sig2, pars, 1, 0); + if(scol.error.errorno != 0) { + status = scol.error.errorno; + } //#pragma omp parallel for for(int i = 0; i< loop_N; i++){ @@ -257,6 +272,8 @@ for(int i = 0; i< loop_N; i++){ a_virp = CubicSpline(loop_N,lgmass,scolar1); // delta_virial delta_avirp = CubicSpline(loop_N,lgmass,scolar2); + + return status; } @@ -344,8 +361,15 @@ double HALO::cvirial(double lgmass, double acol) const { while ( delta_col(lgmass)/mysig(pos_pt)-1. < 0.){ pos_pt = dis(gen);} - while ( delta_col(lgmass)/mysig(neg_pt)-1. > 0.){ - neg_pt = dis(gen);} + int mycount = 1; + while ( delta_col(lgmass)/mysig(neg_pt)-1. > 0.){ + neg_pt = dis(gen); + mycount += 1; + if (mycount>100) { + fprintf(stderr, "Failed to converge in cvirial.\n"); + return g_de*myc0*pow(10.,-alpha*(lgmass-Mmin))*acol; + } + } const double about_zero_mag = 1e-3; for (;;) @@ -391,8 +415,15 @@ double HALO::cvirial(double lgmass, double acol) const { while ( delta_colp(lgmass)/mysigp(pos_pt)-1. < 0.){ pos_pt = dis(gen);} - while ( delta_colp(lgmass)/mysigp(neg_pt)-1. > 0.){ - neg_pt = dis(gen);} + int mycount = 1; + while ( delta_colp(lgmass)/mysigp(neg_pt)-1. > 0.){ + neg_pt = dis(gen); + mycount += 1; + if (mycount > 100 ) { + fprintf(stderr, "Failed to converge in cvirialp.\n"); + return myc0*pow(10.,-alpha*(lgmass-Mmin))*acol; + } + } const double about_zero_mag = 1e-3; for (;;) @@ -576,7 +607,7 @@ double kstar, bigE; // vars: // 0 = acol, 1= omega0, 2 = mg param -void HALO::react_init(double vars[]) const{ +void HALO::react_init(double vars[], int model) const{ SPT spt(C, P_l, epsrel); double pspt, psptp, p1h, p1hp, plreal,argument; @@ -594,10 +625,10 @@ void HALO::react_init(double vars[]) const{ // spt terms // Real PT spectrum - pspt = spt.PLOOPn2(1, vars, 0.06, 1e-3); + pspt = spt.PLOOPn2(1, vars, model, 0.06, 1e-3); // GR-1-loop spectrum with linear growth replaced by modified gravity growth (unscreened) - psptp = spt.PLOOPn2(8, vars, 0.06, 1e-3); + psptp = spt.PLOOPn2(8, vars, model, 0.06, 1e-3); // real linear spectrum plreal = pow2(linear_growth(0.06))*P_l(0.06); @@ -670,6 +701,10 @@ double HALO::plinear_cosmosis(double k) const { return pow2(linear_growth(k))*P_l(k); } +double HALO::Lin_Grow(double k) const{ + return linear_growth(k); +} + // Pseudo halofit prescription //////////////////////////////////////////////// diff --git a/reactions/src/HALO.h b/reactions/src/HALO.h index 10d44df..ef33796 100644 --- a/reactions/src/HALO.h +++ b/reactions/src/HALO.h @@ -13,8 +13,8 @@ class HALO { // initialise spherical collapse quantities - void scol_init(double vars[]) const; - void scol_initp(double vars[]) const; + int scol_init(double vars[], int model) const; + int scol_initp(double vars[], int model) const; // halo model components double rvirial(double Mvir, double vars[]) const; @@ -34,12 +34,14 @@ class HALO { double one_halop(double k, double vars[]) const; // reactions - void react_init(double vars[]) const; + void react_init(double vars[], int model) const; void react_init2(double vars[],Spline ploopr, Spline ploopp) const; double reaction(double k, double vars[]) const; // Linear spectrum for CosmoSIS double plinear_cosmosis(double k) const; +// Linear growth + double Lin_Grow(double k) const; // halofit pseudo spectrum double PHALO_pseudo(double k) const; diff --git a/reactions/src/SCOL.cpp b/reactions/src/SCOL.cpp index 499470c..7232e3c 100755 --- a/reactions/src/SCOL.cpp +++ b/reactions/src/SCOL.cpp @@ -92,16 +92,17 @@ static int f_modscol(realtype t, N_Vector y, N_Vector ydot, void *user_data) double myh = (y1 + ET)/ET; double myenv = (yenv + ET)/ET; + // modified (MG or DE ... or both) + // these should be edited consistently in SpecialFunctions.cpp + Fvir = mymgF(ET*ET0, myh, myenv, Rth, OM, (data->par1),(data->par2),(data->par3), IC, (data->mymg)); + + + // TODO: introduce switch forr background evolution to remove this if statement if((data->mymg) ==1){ - // LCDM (unmodified) - Fvir=0; hubble2 = pow2(HA(ET*ET0,OM)); dhlnaoh = HA1(ET*ET0,OM)/hubble2; } else{ - // modified (MG or DE ... or both) - // these should be edited consistently in SpecialFunctions.cpp - Fvir = mymgF(ET*ET0, myh, myenv, Rth, OM, (data->par1),(data->par2),(data->par3), IC); // (H/H0)^2 hubble2 = pow2(HAg(ET*ET0, OM, (data->par1), (data->par2), (data->par3))); // d H/ d ln[a] / (H/H0)^2 @@ -196,7 +197,7 @@ double SCOL::maxP_zeta(double sig2, double dsig2dR, double OM, double Z) double m = 0.0001; double varomega = gamma * d_envcr; - + double betatest =pow(5.0/8.0, 3.0/d_envcr) / pow((sig2_params.c), 2.0/varomega); struct my_f_params Pzeta_params = {pow(5.0/8.0, 3.0/d_envcr) / pow((sig2_params.c), 2.0/varomega), varomega, @@ -211,11 +212,12 @@ double SCOL::maxP_zeta(double sig2, double dsig2dR, double OM, double Z) gsl_set_error_handler_off(); status2 = gsl_min_fminimizer_set (s, &F, m, a, b); if (status2 ){ - printf ("error: %s\n", gsl_strerror (status2)); - printf ("The offending values of sigma8, sigma8', z, omega_m, varomega, d_envcr, beta, Dl_spt, g_de : %e %e %e %e %e %e %e %e %e \n", sig2, dsig2dR, Z, OM,varomega, d_envcr, betatest, Dl_spt, g_de ); + fprintf(stderr, "error: %s\n", gsl_strerror (status2)); + fprintf(stderr, "The offending values of sigma8, sigma8', z, omega_m, varomega, d_envcr, beta, Dl_spt, g_de : %e %e %e %e %e %e %e %e %e \n", sig2, dsig2dR, Z, OM,varomega, d_envcr, betatest, Dl_spt, g_de ); + error.errorno = status2; } gsl_set_error_handler (NULL); - + do { iter++; @@ -586,7 +588,7 @@ int SCOL::SphericalCollapse(double *dC, arrays_T3 xxyyzz, UserData data_vec, dou //myscolparams[] is storage for the above quantities (0: delta_collapse, 1: a_virial, 2: delta_virial) // needs omega0, initial top-hat radius , initial density of enviornment, modification parameters and selection of theory, mymg: -// mymg = 1 gives GR collapse, 2 gives modified collapse +// mymg = 1 gives GR collapse, 2 gives f(R) and 3 gives DGP double SCOL::myscol(double myscolparams[], double acol, double omega0, double Rthp, double sig1, double sig2, double pars[], int mymg, int yenvf) { @@ -644,7 +646,7 @@ double SCOL::myscol(double myscolparams[], double acol, double omega0, double Rt data->par3 = p3; data->Rth = Rthp; data->mymg = mymg; - data->maxt = maximumt; + data->maxt = maximumt; // initialse the delta_i (solver spherical collapse differential equation) SphericalCollapse (&myscolparams[0], xxyyzz, data, TMULT, mydelta); @@ -691,15 +693,11 @@ double SCOL::myscol(double myscolparams[], double acol, double omega0, double Rt weff = 2.*(1.-omega0)*pow2(myy/arat); ke = pow2(HA(ai, omega0)*(myy + myp)/arat); } - else if(mymg==2){ - wphi = prefac * mymgF(ai, myy, myyenv, Rthp, omega0, p1, p2, p3, myscolparams[0])*mydelt; + else{ + wphi = prefac * mymgF(ai, myy, myyenv, Rthp, omega0, p1, p2, p3, myscolparams[0], mymg)*mydelt; weff = WEFF(ai,omega0,p1,p2,p3)*pow2(myy/arat); ke = pow2(HAg(ai, omega0,p1,p2,p3)*(myy + myp)/arat); } - else{ - warning("SCOL: invalid indices, mymg = %d\n", mymg); - return 0; - } // RHS of virial theorem diff --git a/reactions/src/SCOL.h b/reactions/src/SCOL.h index e76371f..c9d1c77 100644 --- a/reactions/src/SCOL.h +++ b/reactions/src/SCOL.h @@ -74,6 +74,9 @@ typedef struct usdat { gsl_interp_accel *acc; } *UserData; +typedef struct scol_error{ + int errorno = 0; +} scol_error_T; extern int check_flagscol(void *flagvalue, const char *funcname, int opt); // @@ -97,6 +100,7 @@ class SCOL { double funcscol(double xi, void *user_data); // + scol_error_T error; }; #endif diff --git a/reactions/src/SPT.cpp b/reactions/src/SPT.cpp index bb64688..0a135c1 100644 --- a/reactions/src/SPT.cpp +++ b/reactions/src/SPT.cpp @@ -632,7 +632,7 @@ real SPT::Lag_bias(int a, real k, real bias[]) const { /////// Numerical 1-loop spectra ///////////// -static double ploopn2_mgdd( const PowerSpectrum& P_L, double vars[], double k, double r, double x){ +static double ploopn2_mgdd( const PowerSpectrum& P_L, double vars[], int model, double k, double r, double x){ double kargs[4],kv[3],xv[3], p22,p13,d; IOW iow; kv[0] = k; @@ -645,14 +645,14 @@ static double ploopn2_mgdd( const PowerSpectrum& P_L, double vars[], double k, d kargs[2] = sqrt(kv[1]*kv[1]+2.*kv[1]*kv[2]*xv[0]+kv[2]*kv[2]); kargs[1] = sqrt(kv[2]*kv[2]+2.*kv[2]*kv[0]*xv[2]+kv[0]*kv[0]); kargs[3] = sqrt(kv[0]*kv[0]+2.*kv[0]*kv[1]*xv[1]+kv[1]*kv[1]); - iow.initn2(vars[0],kv,xv,kargs,vars[1],vars[2],vars[3],vars[4]); + iow.initn2(vars[0],kv,xv,kargs,vars[1],vars[2],vars[3],vars[4],model); p22 = pow2(F2_nk); p13 = F1_nk*F3_nk; return pow2(r)*2.*P_L(k*r)*(P_L(kargs[0])*p22 + 3.*P_L(k)*p13); } -static double ploopn2_mgdt( const PowerSpectrum& P_L, double vars[], double k, double r, double x){ +static double ploopn2_mgdt( const PowerSpectrum& P_L, double vars[], int model, double k, double r, double x){ double kargs[4],kv[3],xv[3], p22,p13,d; IOW iow; kv[0] = k; @@ -665,13 +665,13 @@ static double ploopn2_mgdt( const PowerSpectrum& P_L, double vars[], double k, d kargs[2] = sqrt(kv[1]*kv[1]+2.*kv[1]*kv[2]*xv[0]+kv[2]*kv[2]); kargs[1] = sqrt(kv[2]*kv[2]+2.*kv[2]*kv[0]*xv[2]+kv[0]*kv[0]); kargs[3] = sqrt(kv[0]*kv[0]+2.*kv[0]*kv[1]*xv[1]+kv[1]*kv[1]); - iow.initn2(vars[0],kv,xv,kargs,vars[1],vars[2],vars[3],vars[4]); + iow.initn2(vars[0],kv,xv,kargs,vars[1],vars[2],vars[3],vars[4],model); p22 = G2_nk*F2_nk; p13 = 0.5*(G1_nk*F3_nk + F1_nk*G3_nk); return pow2(r)*2.*P_L(k*r)*(P_L(kargs[0])*p22 + 3.*P_L(k)*p13); } -static double ploopn2_mgtt(const PowerSpectrum& P_L, double vars[], double k, double r, double x){ +static double ploopn2_mgtt(const PowerSpectrum& P_L, double vars[], int model, double k, double r, double x){ double kargs[4],kv[3],xv[3], p22,p13,d; IOW iow; kv[0] = k; @@ -684,7 +684,7 @@ static double ploopn2_mgtt(const PowerSpectrum& P_L, double vars[], double k, do kargs[2] = sqrt(kv[1]*kv[1]+2.*kv[1]*kv[2]*xv[0]+kv[2]*kv[2]); kargs[1] = sqrt(kv[2]*kv[2]+2.*kv[2]*kv[0]*xv[2]+kv[0]*kv[0]); kargs[3] = sqrt(kv[0]*kv[0]+2.*kv[0]*kv[1]*xv[1]+kv[1]*kv[1]); - iow.initn2(vars[0],kv,xv,kargs,vars[1],vars[2],vars[3],vars[4]); + iow.initn2(vars[0],kv,xv,kargs,vars[1],vars[2],vars[3],vars[4],model); p22 = pow2(G2_nk); p13 = G1_nk * G3_nk; return pow2(r)*2.*P_L(k*r)*(P_L(kargs[0])*p22 + 3.*P_L(k)*p13); @@ -692,7 +692,7 @@ static double ploopn2_mgtt(const PowerSpectrum& P_L, double vars[], double k, do // pseudo 1-loop matter power spectrum (1812.05594) -static double ploopn2_mgdd_pseudo( const PowerSpectrum& P_L, double vars[], double k, double r, double x){ +static double ploopn2_mgdd_pseudo( const PowerSpectrum& P_L, double vars[],int model, double k, double r, double x){ double kargs[4],kv[3],xv[3], p22,p13,d; IOW iow; kv[0] = k; @@ -705,7 +705,7 @@ static double ploopn2_mgdd_pseudo( const PowerSpectrum& P_L, double vars[], doub kargs[2] = sqrt(kv[1]*kv[1]+2.*kv[1]*kv[2]*xv[0]+kv[2]*kv[2]); kargs[1] = sqrt(kv[2]*kv[2]+2.*kv[2]*kv[0]*xv[2]+kv[0]*kv[0]); kargs[3] = sqrt(kv[0]*kv[0]+2.*kv[0]*kv[1]*xv[1]+kv[1]*kv[1]); - iow.initn2_pseudo(vars[0],kv,xv,kargs,vars[1],vars[2],vars[3],vars[4]); + iow.initn2_pseudo(vars[0],kv,xv,kargs,vars[1],vars[2],vars[3],vars[4],model); p22 = pow2(F2_nk); p13 = F1_nk*F3_nk; @@ -715,7 +715,7 @@ static double ploopn2_mgdd_pseudo( const PowerSpectrum& P_L, double vars[], doub // Choose a {0,...,8}: P_linear, P_dd,P_dt, P_tt (MG), P_linear, P_dd,P_dt, P_tt (IDE), P_dd pseudo (see HALO.cpp) // vars: 0 = scale factor, 1= omega_m(z=0), 2 = mg param , 3 = mg param, 4 = mg param, -double SPT::PLOOPn2(int a, double vars[], double k, double err) const{ +double SPT::PLOOPn2(int a, double vars[], int model, double k, double err) const{ IOW iow; double loop, tree; double prefac = k*k*k/(4*M_PI*M_PI)/pow4(dnorm_spt); @@ -725,23 +725,23 @@ double c[2] = {KMIN,-1.}; double d[2] = {KMAX, 1.}; switch (a) { case 0: - iow.initn_lin(vars[0], k, vars[1],vars[2], vars[3],vars[4]); + iow.initn_lin(vars[0], k, vars[1],vars[2], vars[3],vars[4],model); tree = pow2(F1_nk/dnorm_spt)*P_L(k); return tree; case 1: - loop = prefac*Integrate<2>(bind(ploopn2_mgdd,cref(P_L),vars,k,std::placeholders::_1,std::placeholders::_2), c, d, err); + loop = prefac*Integrate<2>(bind(ploopn2_mgdd,cref(P_L),vars,model,k,std::placeholders::_1,std::placeholders::_2), c, d, err); tree = pow2(F1_nk/dnorm_spt)*P_L(k); return loop+tree; case 2: - loop = prefac*Integrate<2>(bind(ploopn2_mgdt,cref(P_L),vars,k,std::placeholders::_1,std::placeholders::_2), c, d, err,1e-2); + loop = prefac*Integrate<2>(bind(ploopn2_mgdt,cref(P_L),vars,model,k,std::placeholders::_1,std::placeholders::_2), c, d, err,1e-2); tree = (G1_nk*F1_nk)/pow2(dnorm_spt)*P_L(k); return loop+tree; case 3: - loop = prefac*Integrate<2>(bind(ploopn2_mgtt,cref(P_L),vars,k,std::placeholders::_1,std::placeholders::_2), c, d, err,1e-2); + loop = prefac*Integrate<2>(bind(ploopn2_mgtt,cref(P_L),vars,model,k,std::placeholders::_1,std::placeholders::_2), c, d, err,1e-2); tree = pow2(G1_nk/dnorm_spt)*P_L(k); return loop+tree; case 8: - loop = prefac*Integrate<2>(bind(ploopn2_mgdd_pseudo,cref(P_L),vars,k,std::placeholders::_1,std::placeholders::_2), c, d, err); + loop = prefac*Integrate<2>(bind(ploopn2_mgdd_pseudo,cref(P_L),vars,model,k,std::placeholders::_1,std::placeholders::_2), c, d, err); tree = pow2(F1_nk/dnorm_spt)*P_L(k); return loop+tree; default: @@ -759,7 +759,7 @@ switch (a) { // vars: 1 = omega0, 2 = mg param // k0 - scale at which to compute Spectra -void SPT::ploop_init(double ploopr[], double ploopp[], double redshifts[], int noz, double vars[], double k0){ +void SPT::ploop_init(double ploopr[], double ploopp[], double redshifts[], int noz, double vars[], int model, double k0){ IOW iow; double res[noz],resp[noz]; // stores loop integral results for real and pseudo spectra @@ -801,7 +801,7 @@ void SPT::ploop_init(double ploopr[], double ploopp[], double redshifts[], int n kargs[1] = sqrt(kv[2]*kv[2]+2.*kv[2]*kv[0]*xv[2]+kv[0]*kv[0]); kargs[3] = sqrt(kv[0]*kv[0]+2.*kv[0]*kv[1]*xv[1]+kv[1]*kv[1]); // solve differential equations numerically - iow.initn3(redshifts, noz, kv,xv,kargs,vars[1],vars[2],vars[3],vars[4],mykernelarray); + iow.initn3(redshifts, noz, kv,xv,kargs,vars[1],vars[2],vars[3],vars[4],mykernelarray,model); double p22[noz],p13[noz], p22p[noz],p13p[noz]; // assign all redshifts @@ -1334,7 +1334,7 @@ real SPT::AB_mu(real k, real bl, real u, int a) const{ // Q-bias -static double ptns_qb( const PowerSpectrum& P_L, double u0[], double vars[], double bk, double k, double r, double x){ +static double ptns_qb( const PowerSpectrum& P_L, double u0[], double vars[], int model, double bk, double k, double r, double x){ double kargs[4],kv[3],xv[3], abct, pdd, pdd22, pdd13, pdt, pdt22, pdt13, ptt, ptt22, ptt13, prefac, plk, plkmp, plkr,d,r2,r3,x2,x3,x4; prefac = k*k*k/(4*M_PI*M_PI)/pow4(dnorm_spt); d = 1.+ r*r - 2.*r*x; @@ -1354,7 +1354,7 @@ static double ptns_qb( const PowerSpectrum& P_L, double u0[], double vars[], dou kargs[2] = sqrt(kv[1]*kv[1]+2.*kv[1]*kv[2]*xv[0]+kv[2]*kv[2]); kargs[1] = sqrt(kv[2]*kv[2]+2.*kv[2]*kv[0]*xv[2]+kv[0]*kv[0]); kargs[3] = sqrt(kv[0]*kv[0]+2.*kv[0]*kv[1]*xv[1]+kv[1]*kv[1]); - iow.initn_rsd(vars[0],kv,xv,kargs,vars[1],vars[2],vars[3],vars[4]); + iow.initn_rsd(vars[0],kv,xv,kargs,vars[1],vars[2],vars[3],vars[4],model); pdd22 = pow2(F2_nk); pdd13 = F1_nk*F3_nk; @@ -1440,7 +1440,7 @@ static double ptns_qb( const PowerSpectrum& P_L, double u0[], double vars[], dou //// Lagrangian bias of Roy and Mac Donald -static double ptns_lagb( const PowerSpectrum& P_L, double u0[], double vars[], double bias[], double k, double r, double x){ +static double ptns_lagb( const PowerSpectrum& P_L, double u0[], double vars[], int model, double bias[], double k, double r, double x){ double kargs[4],kv[3],xv[3], abct, pdd, pdd22, pdd13, pdt, pdt22, pdt13, ptt, ptt22, ptt13, prefac, plk, plkmp, plkr,d,r2,r3,x2,x3,x4; prefac = k*k*k/(4*M_PI*M_PI)/pow4(dnorm_spt); d = 1.+ r*r - 2.*r*x; @@ -1458,7 +1458,7 @@ static double ptns_lagb( const PowerSpectrum& P_L, double u0[], double vars[], d kargs[2] = sqrt(kv[1]*kv[1]+2.*kv[1]*kv[2]*xv[0]+kv[2]*kv[2]); kargs[1] = sqrt(kv[2]*kv[2]+2.*kv[2]*kv[0]*xv[2]+kv[0]*kv[0]); kargs[3] = sqrt(kv[0]*kv[0]+2.*kv[0]*kv[1]*xv[1]+kv[1]*kv[1]); - iow.initn_rsd(vars[0],kv,xv,kargs,vars[1],vars[2],vars[3],vars[4]); + iow.initn_rsd(vars[0],kv,xv,kargs,vars[1],vars[2],vars[3],vars[4],model); pdd22 = pow2(F2_nk); pdd13 = F1_nk*F3_nk; @@ -1579,7 +1579,7 @@ static double ptns_lagb( const PowerSpectrum& P_L, double u0[], double vars[], d // err - absolute error in differential equation solver -double SPT::PRSD_mg(int a, int b, double bias[], double vars[], double sigmav, double k, double err) const{ +double SPT::PRSD_mg(int a, int b, double bias[], double vars[], int model, double sigmav, double k, double err) const{ IOW iow; double linear, nonlinear, u0x[5], bk, bl, stoch; real KMAX = QMAXp/k; @@ -1589,7 +1589,7 @@ double d[2] = {KMAX, 0.99999999}; switch (a) { case 0: bl = bias[0]; - iow.initn_lin(vars[0], k, vars[1],vars[2], vars[3], vars[4]); + iow.initn_lin(vars[0], k, vars[1],vars[2], vars[3], vars[4],model); linear = pow2(F1_nk*bl/dnorm_spt)*(factL(k, sigmav, 1., 1., 0, b, 7)*P_L(k) - 2.*(G1_nk/F1_nk/bl)*factL(k, sigmav, 1., 1., 1, b, 7)*P_L(k) + pow2(G1_nk/F1_nk/bl)*factL(k, sigmav, 1., 1., 2, b, 7)* P_L(k)); return linear; @@ -1602,7 +1602,7 @@ switch (a) { u0x[2]=factL(k, sigmav, 1., 1., 3, b, 7); u0x[3]=factL(k, sigmav, 1., 1., 4, b, 7); u0x[4]=factL(k, sigmav, 1., 1., 0, b, 7); - nonlinear = Integrate<2>(bind(ptns_qb,cref(P_L), u0x, vars, bk, k, std::placeholders::_1,std::placeholders::_2), c, d, err); + nonlinear = Integrate<2>(bind(ptns_qb,cref(P_L), u0x, vars, model, bk, k, std::placeholders::_1,std::placeholders::_2), c, d, err); linear = pow2(F1_nk*bias[0]/dnorm_spt)*(u0x[4]*P_L(k) - 2.*(G1_nk/F1_nk/bias[0])*u0x[0]*P_L(k) + pow2(G1_nk/F1_nk/bias[0])*u0x[1]*P_L(k)); return linear + nonlinear; @@ -1614,7 +1614,7 @@ switch (a) { u0x[2]=factL(k, sigmav, 1., 1., 3, b, 7); u0x[3]=factL(k, sigmav, 1., 1., 4, b, 7); u0x[4]=factL(k, sigmav, 1., 1., 0, b, 7); - nonlinear = Integrate<2>(bind(ptns_lagb,cref(P_L), u0x, vars, bias, k,std::placeholders::_1,std::placeholders::_2), c, d, err); + nonlinear = Integrate<2>(bind(ptns_lagb,cref(P_L), u0x, vars, model, bias, k,std::placeholders::_1,std::placeholders::_2), c, d, err); linear = pow2(F1_nk*bias[0]/dnorm_spt)*(u0x[4]*P_L(k) - 2.*(G1_nk/F1_nk/bias[0])*u0x[0]*P_L(k) + pow2(G1_nk/F1_nk/bias[0])*u0x[1]*P_L(k)); stoch = u0x[4]*bias[2]; return linear + nonlinear + stoch; diff --git a/reactions/src/SPT.h b/reactions/src/SPT.h index f75b6f3..c2ad86f 100755 --- a/reactions/src/SPT.h +++ b/reactions/src/SPT.h @@ -35,11 +35,11 @@ class SPT { // values of a : // 1: P_dd, 2: P_dt , 3: P_tt for mg, // 4: P_dd, 5: P_dt , 6: P_tt for interacting DE of - // vars: 0:scale factor , 1: omega_0, 2: mg1, 3 : mg2 , 4 : mg3 - real PLOOPn2(int a, double vars[], double k, double err) const; + // vars: 0:scale factor , 1: omega_0, 2: mg1, 3 : mg2 , 4 : mg3 + real PLOOPn2(int a, double vars[], int model, double k, double err) const; // initialise p_loop values over redshifts[] at k=k0 for k_star in reaction code (HALO.cpp) - void ploop_init(double ploopr[], double ploopp[], double redshifts[], int noz, double vars[], double k0); + void ploop_init(double ploopr[], double ploopp[], double redshifts[], int noz, double vars[], int model, double k0); // halo fit coefficient initialisation void phinit(double scalef, double omega0) const; @@ -103,7 +103,7 @@ class SPT { // modified gravity TNS and Kaiser model - numerically calculated - double PRSD_mg(int a, int b, double bias[], double vars[], double sigma_v, double k, double err) const; + double PRSD_mg(int a, int b, double bias[], double vars[], int model, double sigma_v, double k, double err) const; /// lagrangian bias terms real Lag_bias(int a, real k, real bias[]) const; diff --git a/reactions/src/SpecialFunctions.cpp b/reactions/src/SpecialFunctions.cpp index 535b2ff..529a006 100644 --- a/reactions/src/SpecialFunctions.cpp +++ b/reactions/src/SpecialFunctions.cpp @@ -180,101 +180,134 @@ inline double beta(double a, double omega0, double omegarc){ // 2) Add in extra parameters to params of funcn1 system of ODEs // 3) Add in extra parameters to initn function and in params passed by function to solver (this is right after initial conditions are passed) -double mu(double a, double k0, double omega0, double p1, double p2, double p3 ){ +// model; 1: GR, 2: f(R) Hu Sawicki, n=1 3: DGP normal branch + +double mu(double a, double k0, double omega0, double p1, double p2, double p3, int model){ double h0 = 1./2997.92458; - // return 1.; // GR - double var1 = pow2(k0/a); - return 1. + var1/(3.*(var1+pow3(omega0/pow3(a)-4.*(omega0-1.))/(2.*p1/pow2(h0)*pow2(4.-3.*omega0)))); //f(R) Hu- Sawicki - // return 1.+1./(3.*beta(a,omega0,p1)); //nDGP + double var1; + switch(model) { + case 1: + return 1. ; // GR + case 2: + var1 = pow2(k0/a); + return 1. + var1/(3.*(var1+pow3(omega0/pow3(a)-4.*(omega0-1.))/(2.*p1/pow2(h0)*pow2(4.-3.*omega0)))); //f(R) Hu- Sawicki + case 3: + return 1.+1./(3.*beta(a,omega0,p1)); //nDGP + default: + warning("SpecialFunctions: invalid model choice, model = %d \n", model); + return 0; } +} + -double gamma2(double a, double omega0, double k0, double k1, double k2, double u1, double p1, double p2, double p3 ){ +double gamma2(double a, double omega0, double k0, double k1, double k2, double u1, double p1, double p2, double p3, int model){ double h0 = 1./2997.92458; - // return 0. ; // GR -double var1 = pow3(a); -double var2 = pow3(var1); -double var3 = pow2(h0); -double var4 = pow2(3.*omega0-4.); -double var5 = pow3(omega0-4.*var1*(omega0-1.))/(2.*var2*p1/var3*var4); -double var6 = pow2(k0/a); - return -(9.*var6*pow2(omega0/var1)*pow(omega0-4.*var1*(-1.+omega0),5))/ - (48.*pow(var1,5)*pow2(p1/var3)*pow2(HA(a,omega0))*pow2(var4) - *(var6+var5) - *(pow2(k1/a)+var5) - *(pow2(k2/a)+var5)); //f(R) Hu- Sawicki - -// return -1./(HA(a,omega0)*HA(a,omega0)*24.*pow(beta(a,omega0,p1),3)*p1)*pow(omega0/(a*a*a),2)*ker1(u1); //nDGP + double var1,var2,var3,var4,var5,var6; + switch(model) { + case 1: + return 0. ; // GR + case 2: + var1 = pow3(a); + var2 = pow3(var1); + var3 = pow2(h0); + var4 = pow2(3.*omega0-4.); + var5 = pow3(omega0-4.*var1*(omega0-1.))/(2.*var2*p1/var3*var4); + var6 = pow2(k0/a); + return -(9.*var6*pow2(omega0/var1)*pow(omega0-4.*var1*(-1.+omega0),5))/ + (48.*pow(var1,5)*pow2(p1/var3)*pow2(HA(a,omega0))*pow2(var4) + *(var6+var5) + *(pow2(k1/a)+var5) + *(pow2(k2/a)+var5)); //f(R) Hu- Sawicki + case 3: + return -1./(HA(a,omega0)*HA(a,omega0)*24.*pow(beta(a,omega0,p1),3)*p1)*pow(omega0/(a*a*a),2)*ker1(u1); //nDGP + default: + warning("SpecialFunctions: invalid model choice, model = %d \n", model); + return 0; +} } // partially symmetric gamma3 (in last 2 arguments) for DGP -double gamma3(double a, double omega0, double k0, double k1, double k2, double k3, double u1,double u2, double u3, double p1, double p2, double p3){ +double gamma3(double a, double omega0, double k0, double k1, double k2, double k3, double u1,double u2, double u3, double p1, double p2, double p3, int model){ double h0 = 1./2997.92458; - //return 0. ; // GR + double var1,var2,var3,var4,var5,var6,var7,var8,var9,var10,var11,k23 ; + + switch(model) { + case 1: + return 0. ; // GR + case 2: + var1 = pow3(a); + var2 = pow3(var1); + var3 = pow2(h0); + var4 = pow2(3.*omega0-4.); + var5 = pow3(omega0-4.*var1*(omega0-1.))/(2.*var2*p1/var3*var4); + var6 = pow(var1,5); + var7 = var6*pow2(var1); + k23 = sqrt(k2*k2+k3*k3+2.*k2*k3*u1); + var8 = pow2(k0/a); + var9 = pow2(k23/a); + var10 = pow2(p1/var3); + var11 = pow2(var4); + + return 1./3.*(var8*pow2(1./HA(a,omega0))*pow3(omega0/var1)/(36. + *(var8+var5) + *(pow2(k1/a)+var5) + *(pow2(k2/a)+var5) + *(pow2(k3/a)+var5) + *(var9+var5)) + *(-45./8.*(var9+var5)/(var7*var10*(p1/var3))*pow(omega0-4.*var1*(omega0-1.),7)/var11/var4 + +pow2(9./(4.*var6*var10)*pow(omega0-4.*var1*(omega0-1.),5)/var11))); // Hu-Sawicki + case 3: + return 1./(HA(a,omega0)*HA(a,omega0)*144.*pow(beta(a,omega0,p1),5)*pow(p1,2))*pow(omega0/(a*a*a),3)*ker1(u1)*ker1((k2*u2+k3*u3)/sqrt(k2*k2+2.*k2*k3*u1+k3*k3)); //nDGP + default: + warning("SpecialFunctions: invalid model choice, model = %d \n", model); + return 0; +} +} - double var1 = pow3(a); - double var2 = pow3(var1); - double var3 = pow2(h0); - double var4 = pow2(3.*omega0-4.); - double var5 = pow3(omega0-4.*var1*(omega0-1.))/(2.*var2*p1/var3*var4); - double var6 = pow(var1,5); - double var7 = var6*pow2(var1); - double k23 = sqrt(k2*k2+k3*k3+2.*k2*k3*u1); - double var8 = pow2(k0/a); - double var9 = pow2(k23/a); - double var10 = pow2(p1/var3); - double var11 = pow2(var4); - return 1./3.*(var8*pow2(1./HA(a,omega0))*pow3(omega0/var1)/(36. - *(var8+var5) - *(pow2(k1/a)+var5) - *(pow2(k2/a)+var5) - *(pow2(k3/a)+var5) - *(var9+var5)) - *(-45./8.*(var9+var5)/(var7*var10*(p1/var3))*pow(omega0-4.*var1*(omega0-1.),7)/var11/var4 - +pow2(9./(4.*var6*var10)*pow(omega0-4.*var1*(omega0-1.),5)/var11))); // Hu-Sawicki +/// Modified gravity function for spherical collapse (see for example A.1 of appendix of 1812.05594) //// -// return 1./(HA(a,omega0)*HA(a,omega0)*144.*pow(beta(a,omega0,p1),5)*pow(p1,2))*pow(omega0/(a*a*a),3)*ker1(u1)*ker1((k2*u2+k3*u3)/sqrt(k2*k2+2.*k2*k3*u1+k3*k3)); //nDGP -} +double mymgF(double a, double yh, double yenv, double Rth, double omega0, double p1, double p2, double p3, double delta_initial, int model){ + double h0 = 1./2997.92; + double dod, dod2, dRRth, fr0, var1, term1, term2 , a3, a9; + double betadgp,xm3,xterm,delta; + switch(model) { + case 1: + return 0. ; // GR + case 2: + /* f(R) - Hu-Sawicki model, n =1 */ + fr0 = p1/h0/h0; + var1 = pow2(3.*omega0 -4.); -/// Modified gravity function for spherical collapse (see for example A.1 of appendix of 1812.05594) //// + term1 = 1./pow2(omega0/pow3(yenv * a) + 4. - 4.*omega0); + term2 = 1./pow2(omega0/pow3(yh * a) + 4. - 4.*omega0); -double mymgF(double a, double yh, double yenv, double Rth, double omega0, double p1, double p2, double p3, double delta_initial){ - /* GR */ - // return 0.; + dod = fr0 * yh * a *var1 * (term1 - term2) / Rth/ Rth / omega0 ; + dod2 = pow2(dod); -/* f(R) - Hu-Sawicki model, n =1 */ - double h0 = 1./2997.92; - double dod, dod2, dRRth, fr0, var1, term1, term2 , a3, a9; - fr0 = p1/h0/h0; - var1 = pow2(3.*omega0 -4.); + dRRth = dod - dod2 + dod2*dod/3.; - term1 = 1./pow2(omega0/pow3(yenv * a) + 4. - 4.*omega0); - term2 = 1./pow2(omega0/pow3(yh * a) + 4. - 4.*omega0); + return gsl_min(dRRth,1./3.); - dod = fr0 * yh * a *var1 * (term1 - term2) / Rth/ Rth / omega0 ; - dod2 = pow2(dod); + case 3: + /*DGP normal branch*/ + betadgp = beta(a,omega0,p1); - dRRth = dod - dod2 + dod2*dod/3.; + delta = (1.+delta_initial)/pow3(yh) - 1.; - return gsl_min(dRRth,1./3.); + xterm = 9.*pow2(betadgp)*p1/(2.*omega0/pow3(a)*delta); + xm3 = 1./xterm; -/*DGP normal branch*/ - // double betadgp,xm3,xterm,delta; - // betadgp = beta(a,omega0,p1); - // - // delta = (1.+delta_initial)/pow3(yh) - 1.; - // - // xterm = 9.*pow2(betadgp)*p1/(2.*omega0/pow3(a)*delta); - // - // xm3 = 1./xterm; - // - // return 2./(3.*betadgp)*(sqrt(1.+ xm3)-1.)/xm3; + return 2./(3.*betadgp)*(sqrt(1.+ xm3)-1.)/xm3; + default: + warning("SpecialFunctions: invalid model choice, model = %d \n", model); + return 0; } - +} //////////////////////////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////////////////////// @@ -395,7 +428,7 @@ struct param_type3 { real arg2; real arg3; real arg4; - + int model; }; @@ -417,6 +450,7 @@ int funcn1(double a, const double G[], double F[], void *params) real karg2 = p.arg2; real karg3 = p.arg3; real karg4 = p.arg4; + int mod = p.model; double a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14; double b1,b2,b3,b4,b5,b6,b7; @@ -443,9 +477,9 @@ int funcn1(double a, const double G[], double F[], void *params) b6 = beta1(k3,karg4,(k1*x3+k2*x1)/karg4); b7 = beta1(k2,karg2,(k3*x1+k1*x2)/karg2); - mu1 = mu(a,k1,omega0,p1,p2,p3); - mu2 = mu(a,k2,omega0,p1,p2,p3); - mu3 = mu(a,karg1,omega0,p1,p2,p3); + mu1 = mu(a,k1,omega0,p1,p2,p3,mod); + mu2 = mu(a,k2,omega0,p1,p2,p3,mod); + mu3 = mu(a,karg1,omega0,p1,p2,p3,mod); /* 1st order */ //1. F1/G1(k) @@ -463,15 +497,15 @@ int funcn1(double a, const double G[], double F[], void *params) /* 2nd order */ //4. F2/G2(p,k-p) (P22) F[6] =1./a*(-(a1*G[5]*G[2]+a2*G[3]*G[4])/2.-G[7]); - F[7] =1./a*(-(2.-hade1)*G[7]-hade2*G[6]*mu1 - gamma2(a, omega0, k1, k2,karg1,(k1*x2-k2)/karg1,p1,p2,p3)*G[4]*G[2] - b1*G[5]*G[3]); + F[7] =1./a*(-(2.-hade1)*G[7]-hade2*G[6]*mu1 - gamma2(a, omega0, k1, k2,karg1,(k1*x2-k2)/karg1,p1,p2,p3,mod)*G[4]*G[2] - b1*G[5]*G[3]); //5. F2/G2(p,k) F[8] =1./a*(-(a5*G[5]*G[0]+a6*G[1]*G[4])/2.-G[9]) ; - F[9] =1./a*(-(2.-hade1)*G[9]-hade2*G[8]*mu(a,karg4,omega0,p1,p2,p3) - gamma2(a, omega0, karg4, k2,k1,x2,p1,p2,p3)*G[4]*G[0]-b3*G[5]*G[1]); + F[9] =1./a*(-(2.-hade1)*G[9]-hade2*G[8]*mu(a,karg4,omega0,p1,p2,p3,mod) - gamma2(a, omega0, karg4, k2,k1,x2,p1,p2,p3,mod)*G[4]*G[0]-b3*G[5]*G[1]); //6. F2/G2(-p,k)=F2/G2(p,-k) F[10] =1./a*(-(a7*G[5]*G[0]+a8*G[1]*G[4])/2.-G[11]) ; - F[11] =1./a*(-(2.-hade1)*G[11]-hade2*G[10]*mu3 -gamma2(a, omega0, karg1, k3,k1,x3,p1,p2,p3)*G[4]*G[0]-b4*G[5]*G[1]); + F[11] =1./a*(-(2.-hade1)*G[11]-hade2*G[10]*mu3 -gamma2(a, omega0, karg1, k3,k1,x3,p1,p2,p3,mod)*G[4]*G[0]-b4*G[5]*G[1]); //7. 3rd order ~ F3/G3(k,p,-p) F[12] = - 1./(3.*a)*(a10*G[8]*G[5] @@ -489,12 +523,12 @@ int funcn1(double a, const double G[], double F[], void *params) -2.*b7*G[5]*G[11] - -2.*gamma2(a, omega0, k1, k3,karg4,(k1*x3+k2*x1)/karg4,p1,p2,p3)*G[4]*G[8] - -2.*gamma2(a, omega0, k1, k2,karg2,(k3*x1+k1*x2)/karg2,p1,p2,p3)*G[4]*G[10] + -2.*gamma2(a, omega0, k1, k3,karg4,(k1*x3+k2*x1)/karg4,p1,p2,p3,mod)*G[4]*G[8] + -2.*gamma2(a, omega0, k1, k2,karg2,(k3*x1+k1*x2)/karg2,p1,p2,p3,mod)*G[4]*G[10] - -(gamma3(a, omega0, k1, k1,k2,k3,x1,x2,x3,p1,p2,p3) - + gamma3(a, omega0, k1, k3,k1,k2,x2,x3,x1,p1,p2,p3) - + gamma3(a, omega0, k1, k2,k3,k1,x3,x1,x2,p1,p2,p3))*G[4]*G[4]*G[0]); + -(gamma3(a, omega0, k1, k1,k2,k3,x1,x2,x3,p1,p2,p3,mod) + + gamma3(a, omega0, k1, k3,k1,k2,x2,x3,x1,p1,p2,p3,mod) + + gamma3(a, omega0, k1, k2,k3,k1,x3,x1,x2,p1,p2,p3,mod))*G[4]*G[4]*G[0]); return GSL_SUCCESS; @@ -520,6 +554,7 @@ int funcn1_pseudo(double a, const double G[], double F[], void *params) real karg2 = p.arg2; real karg3 = p.arg3; real karg4 = p.arg4; + int mod = p.model; double a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14; @@ -547,9 +582,9 @@ int funcn1_pseudo(double a, const double G[], double F[], void *params) b7 = beta1(k2,karg2,(k3*x1+k1*x2)/karg2); - mu1 = mu(a,k1,omega0,p1,p2,p3); - mu2 = mu(a,k2,omega0,p1,p2,p3); - mu3 = mu(a,karg1,omega0,p1,p2,p3); + mu1 = mu(a,k1,omega0,p1,p2,p3,mod); + mu2 = mu(a,k2,omega0,p1,p2,p3,mod); + mu3 = mu(a,karg1,omega0,p1,p2,p3,mod); /* 1st order */ @@ -575,7 +610,7 @@ int funcn1_pseudo(double a, const double G[], double F[], void *params) //5. F2/G2(p,k) F[8] =1./a*(-(a5*G[5]*G[0]+a6*G[1]*G[4])/2.-G[9]) ; - F[9] =1./a*(-(2.-hade1)*G[9]-hade2*G[8]*mu(a,karg4,omega0,p1,p2,p3) -b3*G[5]*G[1]); + F[9] =1./a*(-(2.-hade1)*G[9]-hade2*G[8]*mu(a,karg4,omega0,p1,p2,p3,mod) -b3*G[5]*G[1]); //6. F2/G2(-p,k)=F2/G2(p,-k) F[10] =1./a*(-(a7*G[5]*G[0]+a8*G[1]*G[4])/2.-G[11]) ; @@ -603,7 +638,7 @@ int funcn1_pseudo(double a, const double G[], double F[], void *params) /// the new solver for numerical equations - optimised and solved in SPT.cpp's ploopn2 functions -void IOW::initn2(double A, double k[], double x[], double kargs[], double omega0, double par1, double par2, double par3) +void IOW::initn2(double A, double k[], double x[], double kargs[], double omega0, double par1, double par2, double par3, int model) { // Initial scale factor for solving system of equations @@ -614,7 +649,7 @@ void IOW::initn2(double A, double k[], double x[], double kargs[], double omega0 /*Parameters passed to system of equations */ // EDIT : If more than one gravity parameter is used, add them after p1 - struct param_type3 my_params1 = {k[0],x[0],k[1],x[1],k[2],x[2],omega0, par1, par2, par3,kargs[0],kargs[1],kargs[2],kargs[3]}; + struct param_type3 my_params1 = {k[0],x[0],k[1],x[1],k[2],x[2],omega0, par1, par2, par3,kargs[0],kargs[1],kargs[2],kargs[3], model}; gsl_odeiv2_system sys = {funcn1, jac, 14, &my_params1}; @@ -666,7 +701,7 @@ void IOW::initn2(double A, double k[], double x[], double kargs[], double omega0 /// Solver for pseudo power spectrum (set of equations omit screening functions gamma_2 and gamma_3 - see funcn1_pseudo) -void IOW::initn2_pseudo(double A, double k[], double x[], double kargs[], double omega0, double par1, double par2, double par3) +void IOW::initn2_pseudo(double A, double k[], double x[], double kargs[], double omega0, double par1, double par2, double par3, int model) { // Initial scale factor for solving system of equations @@ -677,7 +712,7 @@ void IOW::initn2_pseudo(double A, double k[], double x[], double kargs[], double /*Parameters passed to system of equations */ // EDIT : If more than one gravity parameter is used, add them after p1 - struct param_type3 my_params1 = {k[0],x[0],k[1],x[1],k[2],x[2],omega0, par1, par2, par3,kargs[0],kargs[1],kargs[2],kargs[3]}; + struct param_type3 my_params1 = {k[0],x[0],k[1],x[1],k[2],x[2],omega0, par1, par2, par3,kargs[0],kargs[1],kargs[2],kargs[3], model}; gsl_odeiv2_system sys = {funcn1_pseudo, jac, 14, &my_params1}; @@ -727,7 +762,7 @@ void IOW::initn2_pseudo(double A, double k[], double x[], double kargs[], double // Used to store kernel values for various redshifts for lensing computation (see HALO.cpp and SPT.cpp - react_init and PLOOPn2 functions respectively) -void IOW::initn3(double redshifts[], int noz, double k[], double x[], double kargs[], double omega0, double par1, double par2, double par3,double mykernelarray[][12]){ +void IOW::initn3(double redshifts[], int noz, double k[], double x[], double kargs[], double omega0, double par1, double par2, double par3,double mykernelarray[][12], int model){ if(redshifts[0]>2.5){ warning("SpecialFunctions: highest z unstable, should be 2.5 or less: z max = %e \n", redshifts[0]); } @@ -743,7 +778,7 @@ void IOW::initn3(double redshifts[], int noz, double k[], double x[], double kar /*Parameters passed to system of equations */ // EDIT : If more than one gravity parameter is used, add them after p1 - struct param_type3 my_params1 = {k[0],x[0],k[1],x[1],k[2],x[2],omega0, par1, par2, par3,kargs[0],kargs[1],kargs[2],kargs[3]}; + struct param_type3 my_params1 = {k[0],x[0],k[1],x[1],k[2],x[2],omega0, par1, par2, par3,kargs[0],kargs[1],kargs[2],kargs[3], model}; gsl_odeiv2_system sys = {funcn1, jac, 14, &my_params1}; gsl_odeiv2_system sysp = {funcn1_pseudo, jac, 14, &my_params1}; @@ -833,6 +868,7 @@ int funcn_lin(double a, const double G[], double F[], void *params) real p1 = p.par1; real p2 = p.par2; real p3 = p.par3; + int mod = p.model; double hade1 = HA2g(a,omega0,p1,p2,p3); double hade2 = HA2g2(a,omega0,p1,p2,p3); @@ -840,14 +876,14 @@ int funcn_lin(double a, const double G[], double F[], void *params) /* 1st order */ //1. F1/G1(k) F[0] = -G[1]/a; - F[1] =1./a*(-(2.-hade1)*G[1]-hade2*G[0]*mu(a,k1,omega0,p1,p2,p3)); + F[1] =1./a*(-(2.-hade1)*G[1]-hade2*G[0]*mu(a,k1,omega0,p1,p2,p3,mod)); return GSL_SUCCESS; } // Include MG extension -void IOW::initn_lin(double A, double k, double omega0, double par1, double par2, double par3) +void IOW::initn_lin(double A, double k, double omega0, double par1, double par2, double par3, int model) { double a = 0.0001; @@ -855,7 +891,7 @@ void IOW::initn_lin(double A, double k, double omega0, double par1, double par2, double G[2] = { a,-a}; /*Parameters passed to system of equations */ - struct param_type3 my_params1 = {k,1.,1.,1.,1.,1.,omega0, par1, par2, par3,1,1.,1.,1.}; + struct param_type3 my_params1 = {k,1.,1.,1.,1.,1.,omega0, par1, par2, par3,1,1.,1.,1.,model}; gsl_odeiv2_system sys = {funcn_lin, jac, 2, &my_params1}; @@ -897,6 +933,7 @@ int funcn_rsd(double a, const double G[], double F[], void *params) real karg2 = p.arg2; real karg3 = p.arg3; real karg4 = p.arg4; + int mod = p.model; double a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14; double b1,b2,b3,b4,b5,b6,b7; @@ -926,9 +963,9 @@ int funcn_rsd(double a, const double G[], double F[], void *params) b6 = beta1(k3,karg4,(k1*x3+k2*x1)/karg4); b7 = beta1(k2,karg2,(k3*x1+k1*x2)/karg2); - mu1 = mu(a,k1,omega0,p1,p2,p3); - mu2 = mu(a,k2,omega0,p1,p2,p3); - mu3 = mu(a,karg1,omega0,p1,p2,p3); + mu1 = mu(a,k1,omega0,p1,p2,p3,mod); + mu2 = mu(a,k2,omega0,p1,p2,p3,mod); + mu3 = mu(a,karg1,omega0,p1,p2,p3,mod); /* 1st order */ @@ -948,16 +985,16 @@ int funcn_rsd(double a, const double G[], double F[], void *params) //4. F2/G2(p,k-p) (P22) F[6] =1./a*(-(a1*G[5]*G[2]+a2*G[3]*G[4])/2.-G[7]); - F[7] =1./a*(-(2.-hade1)*G[7]-hade2*G[6]*mu1 - gamma2(a, omega0, k1, k2,karg1,(k1*x2-k2)/karg1,p1,p2,p3)*G[4]*G[2] - b1*G[5]*G[3]); + F[7] =1./a*(-(2.-hade1)*G[7]-hade2*G[6]*mu1 - gamma2(a, omega0, k1, k2,karg1,(k1*x2-k2)/karg1,p1,p2,p3,mod)*G[4]*G[2] - b1*G[5]*G[3]); //5. F2/G2(p,k) F[8] =1./a*(-(a5*G[5]*G[0]+a6*G[1]*G[4])/2.-G[9]) ; - F[9] =1./a*(-(2.-hade1)*G[9]-hade2*G[8]*mu(a,karg4,omega0,p1,p2,p3) - gamma2(a, omega0, karg4, k2,k1,x2,p1,p2,p3)*G[4]*G[0]-b3*G[5]*G[1]); + F[9] =1./a*(-(2.-hade1)*G[9]-hade2*G[8]*mu(a,karg4,omega0,p1,p2,p3,mod) - gamma2(a, omega0, karg4, k2,k1,x2,p1,p2,p3,mod)*G[4]*G[0]-b3*G[5]*G[1]); //6. F2/G2(-p,k)=F2/G2(p,-k) F[10] =1./a*(-(a7*G[5]*G[0]+a8*G[1]*G[4])/2.-G[11]) ; - F[11] =1./a*(-(2.-hade1)*G[11]-hade2*G[10]*mu3 -gamma2(a, omega0, karg1, k3,k1,x3,p1,p2,p3)*G[4]*G[0]-b4*G[5]*G[1]); + F[11] =1./a*(-(2.-hade1)*G[11]-hade2*G[10]*mu3 -gamma2(a, omega0, karg1, k3,k1,x3,p1,p2,p3,mod)*G[4]*G[0]-b4*G[5]*G[1]); //7. 3rd order ~ F3/G3(k,p,-p) F[12] = - 1./(3.*a)*(a10*G[8]*G[5] @@ -975,24 +1012,24 @@ int funcn_rsd(double a, const double G[], double F[], void *params) -2.*b7*G[5]*G[11] - -2.*gamma2(a, omega0, k1, k3,karg4,(k1*x3+k2*x1)/karg4,p1,p2,p3)*G[4]*G[8] - -2.*gamma2(a, omega0, k1, k2,karg2,(k3*x1+k1*x2)/karg2,p1,p2,p3)*G[4]*G[10] + -2.*gamma2(a, omega0, k1, k3,karg4,(k1*x3+k2*x1)/karg4,p1,p2,p3,mod)*G[4]*G[8] + -2.*gamma2(a, omega0, k1, k2,karg2,(k3*x1+k1*x2)/karg2,p1,p2,p3,mod)*G[4]*G[10] - -(gamma3(a, omega0, k1, k1,k2,k3,x1,x2,x3,p1,p2,p3) - + gamma3(a, omega0, k1, k3,k1,k2,x2,x3,x1,p1,p2,p3) - + gamma3(a, omega0, k1, k2,k3,k1,x3,x1,x2,p1,p2,p3))*G[4]*G[4]*G[0]); + -(gamma3(a, omega0, k1, k1,k2,k3,x1,x2,x3,p1,p2,p3,mod) + + gamma3(a, omega0, k1, k3,k1,k2,x2,x3,x1,p1,p2,p3,mod) + + gamma3(a, omega0, k1, k2,k3,k1,x3,x1,x2,p1,p2,p3,mod))*G[4]*G[4]*G[0]); //8. F2/G2(-k,k-p) F[14] =1./a*(-(a3*G[1]*G[2]+a4*G[3]*G[0])/2.-G[15]); - F[15] =1./a*(-(2.-hade1)*G[15]-hade2*G[14]*mu2 - gamma2(a, omega0, k2, k1, karg1,(k2*x2-k1)/karg1,p1,p2,p3)*G[2]*G[0] - b2*G[3]*G[1]); + F[15] =1./a*(-(2.-hade1)*G[15]-hade2*G[14]*mu2 - gamma2(a, omega0, k2, k1, karg1,(k2*x2-k1)/karg1,p1,p2,p3,mod)*G[2]*G[0] - b2*G[3]*G[1]); return GSL_SUCCESS; } /// the new solver for numerical equations - optimised and solved in SPT.cpp's ploopn2 functions -void IOW::initn_rsd(double A, double k[], double x[], double kargs[], double omega0, double par1, double par2, double par3) +void IOW::initn_rsd(double A, double k[], double x[], double kargs[], double omega0, double par1, double par2, double par3, int model) { // Initial scale factor for solving system of equations @@ -1003,7 +1040,7 @@ void IOW::initn_rsd(double A, double k[], double x[], double kargs[], double ome /*Parameters passed to system of equations */ // EDIT : If more than one gravity parameter is used, add them after p1 - struct param_type3 my_params1 = {k[0],x[0],k[1],x[1],k[2],x[2],omega0, par1, par2, par3,kargs[0],kargs[1],kargs[2],kargs[3]}; + struct param_type3 my_params1 = {k[0],x[0],k[1],x[1],k[2],x[2],omega0, par1, par2, par3,kargs[0],kargs[1],kargs[2],kargs[3],model}; gsl_odeiv2_system sys = {funcn_rsd, jac, 16, &my_params1}; @@ -1064,6 +1101,7 @@ struct param_type2 { real par2; real par3; int par4; + int model; }; @@ -1111,7 +1149,7 @@ void IOW::initnorm(double vars[]) //double A, double omega0, double par1, double int status1,status2,status3; // Solution for wCDM linear growth @ a=1 for our normalisation of the linear power spectrum //DE - params_my = {vars[1],vars[2],vars[3],vars[4],1}; + params_my = {vars[1],vars[2],vars[3],vars[4],1,1}; // Solutions of evolution factors @ a=A sys1 = {funcn2, jac, 2, ¶ms_my}; @@ -1206,34 +1244,35 @@ int func(double a, const double G[], double F[], void *params){ real p1 = p.par1; real p2 = p.par2; real p3 = p.par3; + int mod = p.model; double hub1 = pow2(HA(a,omega0)); double ap5 = pow(a,5); // D F[0] = G[1]; - F[1] = -1./a*(3.+HA1(a,omega0)/(hub1))*G[1]+3./2.*omega0/(hub1*ap5)*mu(a,1.,omega0,p1,p2,p3)*G[0]; + F[1] = -1./a*(3.+HA1(a,omega0)/(hub1))*G[1]+3./2.*omega0/(hub1*ap5)*mu(a,1.,omega0,p1,p2,p3,mod)*G[0]; //E F[2] = G[3]; - F[3] = -1./a*(3.+HA1(a,omega0)/(hub1))*G[3]+3./2.*omega0/(hub1*ap5)*mu(a,1.,omega0,p1,p2,p3)*G[2]+G[1]*G[1]+3./2.*omega0/(hub1*ap5)*mu(a,1.,omega0,p1,p2,p3)*G[0]*G[0]; + F[3] = -1./a*(3.+HA1(a,omega0)/(hub1))*G[3]+3./2.*omega0/(hub1*ap5)*mu(a,1.,omega0,p1,p2,p3,mod)*G[2]+G[1]*G[1]+3./2.*omega0/(hub1*ap5)*mu(a,1.,omega0,p1,p2,p3,mod)*G[0]*G[0]; //F F[4] = G[5]; - F[5] = -1./a*(3.+HA1(a,omega0)/(hub1))*G[5]+3./2.*omega0/(hub1*ap5)*mu(a,1.,omega0,p1,p2,p3)*G[4]-1./(a*a*hub1*24.*pow(beta(a,omega0,p1),3)*p1) *pow(omega0/(a*a*a),2)*G[0]*G[0]; + F[5] = -1./a*(3.+HA1(a,omega0)/(hub1))*G[5]+3./2.*omega0/(hub1*ap5)*mu(a,1.,omega0,p1,p2,p3,mod)*G[4]-1./(a*a*hub1*24.*pow(beta(a,omega0,p1),3)*p1) *pow(omega0/(a*a*a),2)*G[0]*G[0]; //C F[6] =G[7]; - F[7] = -1./a*(3.+HA1(a,omega0)/(hub1))*G[7]+3./2.*omega0/(hub1*ap5)*mu(a,1.,omega0,p1,p2,p3)*G[6]+G[1]*(G[5]-G[1]); + F[7] = -1./a*(3.+HA1(a,omega0)/(hub1))*G[7]+3./2.*omega0/(hub1*ap5)*mu(a,1.,omega0,p1,p2,p3,mod)*G[6]+G[1]*(G[5]-G[1]); //I F[8] = G[9] ; - F[9] = -1./a*(3.+HA1(a,omega0)/(hub1))*G[9]+3./2.*omega0/(hub1*ap5)*mu(a,1.,omega0,p1,p2,p3)*G[8]+3./2.*omega0/(hub1*ap5)*mu(a,1.,omega0,p1,p2,p3)*(G[4]-G[0])*G[0]-1./(a*a*hub1*24.*pow(beta(a,omega0,p1),3)*p1)*pow(omega0/(a*a*a),2)*G[0]*G[0]*G[0]+G[1]*(G[5]-G[1]); + F[9] = -1./a*(3.+HA1(a,omega0)/(hub1))*G[9]+3./2.*omega0/(hub1*ap5)*mu(a,1.,omega0,p1,p2,p3,mod)*G[8]+3./2.*omega0/(hub1*ap5)*mu(a,1.,omega0,p1,p2,p3,mod)*(G[4]-G[0])*G[0]-1./(a*a*hub1*24.*pow(beta(a,omega0,p1),3)*p1)*pow(omega0/(a*a*a),2)*G[0]*G[0]*G[0]+G[1]*(G[5]-G[1]); //KL F[10] = G[11] ; - F[11] = -1./a*(3.+HA1(a,omega0)/(hub1))*G[11]+3./2.*omega0/(hub1*ap5)*mu(a,1.,omega0,p1,p2,p3)*G[10] + F[11] = -1./a*(3.+HA1(a,omega0)/(hub1))*G[11]+3./2.*omega0/(hub1*ap5)*mu(a,1.,omega0,p1,p2,p3,mod)*G[10] -1./(a*a*hub1*12.*pow(beta(a,omega0,p1),3)*p1)*pow(omega0/(a*a*a),2)*G[0]*(G[2]+G[4]-2*G[0]) +1./(a*a*hub1*144.*pow(beta(a,omega0,p1),5)*pow(p1,2))*pow(omega0/(a*a*a),3)*G[0]*G[0]*G[0]; @@ -1247,15 +1286,15 @@ int func(double a, const double G[], double F[], void *params){ //J F[14] = G[15]; - F[15] = -1./a*(3.+HA1(a,omega0)/(hub1))*G[15]+3./2.*omega0/(hub1*ap5)*mu(a,1.,omega0,p1,p2,p3)*G[14]-1./(a*a*hub1*24.*pow(beta(a,omega0,p1),3)*p1) *pow(omega0/(a*a*a),2)*G[0]*G[0]*G[0]/7.; + F[15] = -1./a*(3.+HA1(a,omega0)/(hub1))*G[15]+3./2.*omega0/(hub1*ap5)*mu(a,1.,omega0,p1,p2,p3,mod)*G[14]-1./(a*a*hub1*24.*pow(beta(a,omega0,p1),3)*p1) *pow(omega0/(a*a*a),2)*G[0]*G[0]*G[0]/7.; //K F[16] = G[17]; - F[17] = -1./a*(3.+HA1(a,omega0)/(hub1))*G[17]+3./2.*omega0/(hub1*ap5)*mu(a,1.,omega0,p1,p2,p3)*G[16]-1./(a*a*hub1*24.*pow(beta(a,omega0,p1),3)*p1) *pow(omega0/(a*a*a),2)*G[0]*G[0]*G[0]*5./7.; + F[17] = -1./a*(3.+HA1(a,omega0)/(hub1))*G[17]+3./2.*omega0/(hub1*ap5)*mu(a,1.,omega0,p1,p2,p3,mod)*G[16]-1./(a*a*hub1*24.*pow(beta(a,omega0,p1),3)*p1) *pow(omega0/(a*a*a),2)*G[0]*G[0]*G[0]*5./7.; //F3 F[18] = G[19] ; - F[19] = -1./a*(3.+HA1(a,omega0)/(hub1))*G[19]+3./2.*omega0/(hub1*ap5)*mu(a,1.,omega0,p1,p2,p3)*G[18]+3./2.*omega0/(hub1*ap5)*mu(a,1.,omega0,p1,p2,p3)*(G[4]-G[0])*G[0]+G[1]*(G[5]-G[1]); + F[19] = -1./a*(3.+HA1(a,omega0)/(hub1))*G[19]+3./2.*omega0/(hub1*ap5)*mu(a,1.,omega0,p1,p2,p3,mod)*G[18]+3./2.*omega0/(hub1*ap5)*mu(a,1.,omega0,p1,p2,p3,mod)*(G[4]-G[0])*G[0]+G[1]*(G[5]-G[1]); return GSL_SUCCESS; @@ -1263,12 +1302,12 @@ int func(double a, const double G[], double F[], void *params){ //Solve the system of equations for evolution factors ---- A is the scale factor, omega0 the matter density param, and par123 are modified gravity additional params -void IOW::inite(double A, double omega0, double par1, double par2, double par3) +void IOW::inite(double A, double omega0, double par1, double par2, double par3, int model) { double a = 0.00001; double G[20] = {a,1., a, 1., a, 1., a, 1., a, 1., a, 1., a, 1., a, 1., a, 1.,a,1.}; // initial conditions - struct param_type2 params = {omega0,par1,par2,par3,1}; + struct param_type2 params = {omega0,par1,par2,par3,1,model}; // Solutions of evolution factors @ a=A gsl_odeiv2_system sys = {func, jac, 20, ¶ms}; @@ -2512,11 +2551,12 @@ int funce2(double a, const double G[], double F[], void *params){ real p1 = p.par1; real p2 = p.par2; real p3 = p.par3; + int mod = p.model; double hub1 = pow2(HA(a,omega0)); double hub2 = HA1(a,omega0)/hub1; double ap5 = pow(a,5); - double mua = mu(a,1.,omega0,p1,p2,p3); + double mua = mu(a,1.,omega0,p1,p2,p3,mod); double betacub = pow(beta(a,omega0,p1),3); double omsqr = pow(omega0/(a*a*a),2); @@ -2758,7 +2798,7 @@ return GSL_SUCCESS; //loops for evol factors, A is the scale factor //Normalized to D[a] = a at early times and a = 1 today. -void IOW::inite2(double A, double omega0, double par1, double par2, double par3) +void IOW::inite2(double A, double omega0, double par1, double par2, double par3, int model) { double a = 0.00001; @@ -2767,7 +2807,7 @@ void IOW::inite2(double A, double omega0, double par1, double par2, double par3) a,1., a, 1., a, 1., a, 1., a, 1., a, 1., a, 1., a, 1., a, 1.,a,1., a,1., a, 1., a, 1., a, 1., a, 1., a, 1., a, 1., a, 1., a, 1.,a,1.,a, 1., a, 1., a, 1.,a,1.}; // initial conditions - struct param_type2 params = {omega0,par1,par2,par3,1}; + struct param_type2 params = {omega0,par1,par2,par3,1,model}; // Solutions of evolution factors @ a=A gsl_odeiv2_system sys = {funce2, jac, 88, ¶ms}; diff --git a/reactions/src/SpecialFunctions.h b/reactions/src/SpecialFunctions.h index 3df9e48..b283fec 100644 --- a/reactions/src/SpecialFunctions.h +++ b/reactions/src/SpecialFunctions.h @@ -124,17 +124,18 @@ class IOW { // A is the scale factor // omega0 is the matter density param // par1,par2,par3 are the mg parameters (generally only par1 is used) - void inite(double A, double omega0, double par1, double par2, double par3); + // model : 1: GR, 2: f(R) Hu-Sawicki n=1 , 3: DGP normal branch + void inite(double A, double omega0, double par1, double par2, double par3, int model); // Evolution factors including those for f4/g4 DGP KERNELS (slower than inite) - void inite2(double A, double omega0, double par1, double par2, double par3); + void inite2(double A, double omega0, double par1, double par2, double par3, int model); // numerical kernel initialisation functions - void initn_lin(double A, double k, double omega0, double par1, double par2, double par3); // numerical linear growth function solver + void initn_lin(double A, double k, double omega0, double par1, double par2, double par3, int model); // numerical linear growth function solver void initnorm(double vars[]); // wCDM and LCDM power spectrum normalisation - roughly the same as above function but with no MG and with dark energy. It solves at a=1 to normalise general spectrum as well solves with LCDM at given a - void initn2(double A, double k[], double x[], double kargs[], double omega0, double par1, double par2, double par3); // 1-loop kernel solver - void initn2_pseudo(double A, double k[], double x[], double kargs[], double omega0, double par1, double par2, double par3); // 1-loop pseudo spectrum kernel solver - void initn3(double redshifts[], int noz, double k[], double x[], double kargs[], double omega0, double par1, double par2, double par3, double mykernelarray[][12]); // 1-loop kernel (real and pseudo) solver for array of redshifts -- used in reaction for lensing - void initn_rsd(double A, double k[], double x[], double kargs[], double omega0, double par1, double par2, double par3); // 1-loop TNS solver (also solves for ABC correction term kernels) + void initn2(double A, double k[], double x[], double kargs[], double omega0, double par1, double par2, double par3, int model); // 1-loop kernel solver + void initn2_pseudo(double A, double k[], double x[], double kargs[], double omega0, double par1, double par2, double par3, int model); // 1-loop pseudo spectrum kernel solver + void initn3(double redshifts[], int noz, double k[], double x[], double kargs[], double omega0, double par1, double par2, double par3, double mykernelarray[][12], int model); // 1-loop kernel (real and pseudo) solver for array of redshifts -- used in reaction for lensing + void initn_rsd(double A, double k[], double x[], double kargs[], double omega0, double par1, double par2, double par3, int model); // 1-loop TNS solver (also solves for ABC correction term kernels) }; @@ -154,11 +155,11 @@ double WEFF(double a, double omega0, double p1, double p2, double p3); // Modified gravity functions // 1-loop PT (1606.02520) -double mu(double a, double k0, double omega0, double p1, double p2, double p3 ); -double gamma2(double a, double omega0, double k0, double k1, double k2, double u1, double p1, double p2, double p3 ); -double gamma3(double a, double omega0, double k0, double k1, double k2, double k3, double u1,double u2, double u3, double p1, double p2, double p3); +double mu(double a, double k0, double omega0, double p1, double p2, double p3, int model); +double gamma2(double a, double omega0, double k0, double k1, double k2, double u1, double p1, double p2, double p3, int model ); +double gamma3(double a, double omega0, double k0, double k1, double k2, double k3, double u1,double u2, double u3, double p1, double p2, double p3, int model); // spherical collapse (1812.05594 - appendix) -double mymgF(double a, double yh, double yenv, double Rth, double omega0, double p1, double p2, double p3, double delta_initial); +double mymgF(double a, double yh, double yenv, double Rth, double omega0, double p1, double p2, double p3, double delta_initial, int model); // standard PT kernels diff --git a/reactions/tests/benchmarks/create_reaction_benchmark.cpp b/reactions/tests/benchmarks/create_reaction_benchmark.cpp index 41d74c9..5bd002a 100644 --- a/reactions/tests/benchmarks/create_reaction_benchmark.cpp +++ b/reactions/tests/benchmarks/create_reaction_benchmark.cpp @@ -80,9 +80,9 @@ int main() { int initit = compute_reaction(&Nk, transfer, &Nk, kvals, &Nz, zvals, &is_tranfer, &cosmology[0], &cosmology[1], &cosmology[2], &cosmology[3], &cosmology[4], - &fR0, &mass_loop, + &fR0, &mass_loop, &model, &Nk, &Nz, myoutput_react, - &Nk, &Nz, myoutput_pl); + &Nk, &Nz, myoutput_pl, 1.); // output //output file name diff --git a/reactions/tests/test_pyreact/test_react.py b/reactions/tests/test_pyreact/test_react.py index 672c7bd..4db3c91 100644 --- a/reactions/tests/test_pyreact/test_react.py +++ b/reactions/tests/test_pyreact/test_react.py @@ -21,16 +21,20 @@ def test_reaction_module(): pofk = np.loadtxt(os.path.join(HERE, "pofk.txt")) # Check that the code runs with power spectra - reaction, p_lin = mod.compute_reaction(h, n_s, Omega_m, Omega_b, sigma_8, fR0, - z, k, pofk, is_transfer=False, mass_loop=mass_loop, verbose=1) + reaction, p_lin, sigma_8_MG = mod.compute_reaction(h, n_s, Omega_m, Omega_b, sigma_8, + z, k, pofk, + model="f(R)", fR0=fR0, + is_transfer=False, mass_loop=mass_loop, verbose=1) + + print(f"LCDM sigma8: {sigma_8}, MG sigma8: {sigma_8_MG}") k, t = np.loadtxt(os.path.join(HERE, "../benchmarks/transfer.dat"), unpack=True) z = np.loadtxt(os.path.join(HERE, "../benchmarks/reaction_z.dat")) # Check with transfer function and compare with benchmark. - reaction, p_lin = mod.compute_reaction(h, n_s, Omega_m, Omega_b, sigma_8, fR0, - z, k, t, is_transfer=True, mass_loop=mass_loop, verbose=1) - + reaction, p_lin, sigma_8_MG = mod.compute_reaction(h, n_s, Omega_m, Omega_b, sigma_8, + z, k, t, model="f(R)", fR0=fR0, is_transfer=True, mass_loop=mass_loop, verbose=1) + reaction_target = np.loadtxt(os.path.join(HERE, "../benchmarks/reaction.dat")) assert np.allclose(reaction, reaction_target) diff --git a/setup.py b/setup.py index 159b77b..90f0057 100644 --- a/setup.py +++ b/setup.py @@ -15,11 +15,9 @@ def compile_library(env): subprocess.check_call(["make"], env=env, cwd="pyreact") - # shutil.copy(os.path.join(here, "cl_to_xi/libwigner.so"), os.path.join(here, "tpst/libwigner.so")) def clean_library(env={}): subprocess.check_call(["make", "clean"], env=env, cwd="pyreact") - # os.remove(os.path.join(here, "tpst/libwigner.so")) class build(_build_py): def run(self):