From 9a6112be54df85bd6e41725806f21da77ef1e502 Mon Sep 17 00:00:00 2001 From: Francois Date: Fri, 6 Apr 2018 16:49:35 -0400 Subject: [PATCH] Adds baseline version of nicaea --- .gitignore | 0 CMakeLists.txt | 110 + Cosmo/include/cmb_bao.h | 35 + Cosmo/include/cosmo.h | 363 + Cosmo/include/decomp_eb.h | 109 + Cosmo/include/lensing.h | 426 + Cosmo/include/lensing_3rd.h | 227 + Cosmo/include/nofz.h | 142 + Cosmo/include/reduced_fit.h | 50 + Cosmo/include/sn1a.h | 132 + Cosmo/src/cmb_bao.c | 207 + Cosmo/src/cosmo.c | 2449 +++ Cosmo/src/decomp_eb.c | 820 + Cosmo/src/lensing.c | 3303 ++++ Cosmo/src/lensing_3rd.c | 1957 ++ Cosmo/src/nofz.c | 1011 + Cosmo/src/reduced_fit.c | 249 + Cosmo/src/sn1a.c | 698 + Coyote/include/constants.h | 32 + Coyote/include/coyote.h | 71 + Coyote/include/fr_constants.h | 40 + Coyote/src/constants.c | 15090 ++++++++++++++ Coyote/src/emu.c | 214 + Coyote/src/fr_constants.c | 12319 ++++++++++++ Coyote/src/fr_emu.c | 255 + Coyote/src/hubble.c | 179 + Demo/Makefile | 162 + Demo/cmb_bao_demo.c | 69 + Demo/cosebi_demo.c | 375 + Demo/decomp_eb_demo.c | 225 + Demo/halomodeldemo.c | 90 + Demo/lensingdemo.c | 810 + Demo/sn1ademo.c | 49 + Demo/third_order_demo.c | 167 + README.md | 108 + docs/.nicaea_2.7.rst.swp | Bin 0 -> 57344 bytes docs/Makefile | 225 + docs/astro.bib | 16255 ++++++++++++++++ docs/build/doctrees/environment.pickle | Bin 0 -> 1764859 bytes docs/build/doctrees/index.doctree | Bin 0 -> 5369 bytes docs/build/doctrees/nicaea_2.7.doctree | Bin 0 -> 187981 bytes docs/build/html/.buildinfo | 4 + ...1e5790a6c33043ceadca81d9657dde6c61d769.png | Bin 0 -> 215 bytes ...1544f44170a0f49c908e326ff0f1e031e7089c.png | Bin 0 -> 241 bytes ...7dd8bfa23b32a0fb4469c987911fc894da1dd4.png | Bin 0 -> 652 bytes ...c592eed12d9c039b5772c54f6daf3d3d5dd51f.png | Bin 0 -> 273 bytes ...cefd2057c9d6f28eb3962dc69eb3e35e49bed2.png | Bin 0 -> 509 bytes ...9a61312476056d6096ffe202f3b7b24499cb9d.png | Bin 0 -> 454 bytes ...e4db32f6a583fb2f90ca6e3a7fe525c29e7148.png | Bin 0 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halomodel/src/halomodel.c | 1874 ++ halomodel/src/hod.c | 3102 +++ par_files/COSEBIs/cosebi.nb | 679 + par_files/cosmo.par | 51 + par_files/cosmoDP.par | 44 + par_files/cosmo_3rd.par | 21 + par_files/cosmo_SN.par | 9 + par_files/cosmo_lens.par | 43 + par_files/halomodel.par | 85 + par_files/nofz.par | 5 + par_files/nofz_1 | 5 + par_files/nofz_2 | 4 + par_files/nofz_hm.dat | 8 + par_files/nofz_single | 5 + tools/include/config.h | 114 + tools/include/errorlist.h | 150 + tools/include/io.h | 77 + tools/include/maths.h | 250 + tools/include/maths_base.h | 77 + tools/include/mvdens.h | 177 + tools/include/par.h | 148 + tools/src/config.c | 137 + tools/src/errorlist.c | 192 + tools/src/io.c | 502 + tools/src/maths.c | 2099 ++ tools/src/mvdens.c | 1058 + tools/src/par.c | 37 + 147 files changed, 88540 insertions(+) create mode 100644 .gitignore create mode 100644 CMakeLists.txt create mode 100644 Cosmo/include/cmb_bao.h create mode 100644 Cosmo/include/cosmo.h create mode 100644 Cosmo/include/decomp_eb.h create mode 100644 Cosmo/include/lensing.h create mode 100644 Cosmo/include/lensing_3rd.h create mode 100644 Cosmo/include/nofz.h create mode 100644 Cosmo/include/reduced_fit.h create mode 100644 Cosmo/include/sn1a.h create mode 100644 Cosmo/src/cmb_bao.c create mode 100644 Cosmo/src/cosmo.c create mode 100644 Cosmo/src/decomp_eb.c create mode 100644 Cosmo/src/lensing.c create mode 100644 Cosmo/src/lensing_3rd.c create mode 100644 Cosmo/src/nofz.c create mode 100644 Cosmo/src/reduced_fit.c create mode 100644 Cosmo/src/sn1a.c create mode 100644 Coyote/include/constants.h create mode 100644 Coyote/include/coyote.h create mode 100644 Coyote/include/fr_constants.h create mode 100644 Coyote/src/constants.c create mode 100644 Coyote/src/emu.c create mode 100644 Coyote/src/fr_constants.c create mode 100644 Coyote/src/fr_emu.c create mode 100644 Coyote/src/hubble.c create mode 100644 Demo/Makefile create mode 100644 Demo/cmb_bao_demo.c create mode 100644 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mode 100644 docs/build/html/index.html create mode 100644 docs/build/html/nicaea_2.7.html create mode 100644 docs/build/html/objects.inv create mode 100644 docs/build/html/search.html create mode 100644 docs/build/html/searchindex.js create mode 100644 docs/conf.py create mode 100644 docs/conf.pyc create mode 100644 docs/index.rst create mode 100644 docs/make.bat create mode 100644 docs/nicaea_2.7.rst create mode 100644 halomodel/include/halomodel.h create mode 100644 halomodel/include/hod.h create mode 100644 halomodel/src/halomodel.c create mode 100644 halomodel/src/hod.c create mode 100644 par_files/COSEBIs/cosebi.nb create mode 100644 par_files/cosmo.par create mode 100644 par_files/cosmoDP.par create mode 100644 par_files/cosmo_3rd.par create mode 100644 par_files/cosmo_SN.par create mode 100644 par_files/cosmo_lens.par create mode 100644 par_files/halomodel.par create mode 100644 par_files/nofz.par create mode 100644 par_files/nofz_1 create mode 100644 par_files/nofz_2 create mode 100644 par_files/nofz_hm.dat create mode 100644 par_files/nofz_single create mode 100644 tools/include/config.h create mode 100644 tools/include/errorlist.h create mode 100644 tools/include/io.h create mode 100644 tools/include/maths.h create mode 100644 tools/include/maths_base.h create mode 100644 tools/include/mvdens.h create mode 100644 tools/include/par.h create mode 100644 tools/src/config.c create mode 100644 tools/src/errorlist.c create mode 100644 tools/src/io.c create mode 100644 tools/src/maths.c create mode 100644 tools/src/mvdens.c create mode 100644 tools/src/par.c diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..e69de29 diff --git a/CMakeLists.txt b/CMakeLists.txt new file mode 100644 index 0000000..69065f7 --- /dev/null +++ b/CMakeLists.txt @@ -0,0 +1,110 @@ +cmake_minimum_required(VERSION 2.6) +include(FindPkgConfig) + +# Adding customized cmake module +list(APPEND CMAKE_MODULE_PATH "${CMAKE_SOURCE_DIR}/cmake/Modules/") + + +project(nicaea) + +cmake_policy(SET CMP0042 NEW) + +# +# Loading dependencies +# +pkg_check_modules(PKGS REQUIRED fftw3 gsl) +include_directories(${PKGS_INCLUDE_DIRS}) +link_directories(${PKGS_LIBRARY_DIRS}) + + +# +# Compilation flags +# +set(CMAKE_C_FLAGS "-Wall -Wuninitialized -pedantic -O3 -fPIC -std=gnu9x") + + +# +# Building nicaea library +# +# +include_directories(Cosmo/include Coyote/include halomodel/include tools/include) +FILE(GLOB src_cosmo "${PROJECT_SOURCE_DIR}/Cosmo/src/*.c") +FILE(GLOB src_halo "${PROJECT_SOURCE_DIR}/halomodel/src/*.c") +FILE(GLOB src_coyote "${PROJECT_SOURCE_DIR}/Coyote/src/*.c") +FILE(GLOB src_tools "${PROJECT_SOURCE_DIR}/tools/src/*.c") +add_library(nicaea STATIC ${src_cosmo} ${src_halo} ${src_coyote} ${src_tools}) +target_link_libraries(nicaea ${PKGS_LIBRARIES}) + +# +# Build python module +# +# +find_package(PythonLibsNew) +if (NOT PYTHON_LIBRARIES) + message("-- Python library not found, cannot install pynicaea") +endif() +find_package(Boost 1.45.0 COMPONENTS python) +if (NOT Boost_LIBRARIES) + message("-- Boost not found, cannot install pynicaea") +endif() +if (PYTHON_LIBRARIES AND Boost_LIBRARIES) + message("-- Adding pynicaea to targets") + INCLUDE_DIRECTORIES(${Boost_INCLUDE_DIRS} ${PYTHON_INCLUDE_DIRS}) + + add_library(pynicaea SHARED python/bindings.cpp python/cosmo.cpp) + target_link_libraries(pynicaea nicaea ${Boost_LIBRARIES} ${PYTHON_LIBRARIES}) + set_target_properties(pynicaea PROPERTIES PREFIX "") + set_target_properties(pynicaea PROPERTIES OUTPUT_NAME "nicaea") +endif() + + +# +# Compiling executables +# +# +add_executable(lensingdemo Demo/lensingdemo.c) +target_link_libraries(lensingdemo nicaea) + +add_executable(cmb_bao_demo Demo/cmb_bao_demo.c) +target_link_libraries(cmb_bao_demo nicaea) + +add_executable(cosebi_demo Demo/cosebi_demo.c) +target_link_libraries(cosebi_demo nicaea) + +add_executable(decomp_eb_demo Demo/decomp_eb_demo.c) +target_link_libraries(decomp_eb_demo nicaea) + +add_executable(halomodeldemo Demo/halomodeldemo.c) +target_link_libraries(halomodeldemo nicaea) + +add_executable(sn1ademo Demo/sn1ademo.c) +target_link_libraries(sn1ademo nicaea) + +add_executable(third_order_demo Demo/third_order_demo.c) +target_link_libraries(third_order_demo nicaea) + + +# +# Install (by default in the project directory) +# +set(CMAKE_INSTALL_PREFIX ${PROJECT_SOURCE_DIR}) + +# Install nicaea library +INSTALL(TARGETS nicaea DESTINATION lib) + +# Install nicaea headers +FILE(GLOB inc "${PROJECT_SOURCE_DIR}/tools/include/*.h" "${PROJECT_SOURCE_DIR}/Cosmo/include/*.h" "${PROJECT_SOURCE_DIR}/halomodel/include/*.h" "${PROJECT_SOURCE_DIR}/Coyote/include/*.h") +INSTALL(FILES ${inc} DESTINATION include/nicaea) + +# install nicaea executables +INSTALL(TARGETS lensingdemo cmb_bao_demo decomp_eb_demo halomodeldemo sn1ademo cosebi_demo third_order_demo DESTINATION bin) + +# +# Tests +# +enable_testing() +message("-- Creating test module lensingdemo") +add_test(NAME lensingdemo COMMAND ${CMAKE_INSTALL_PREFIX}/bin/lensingdemo WORKING_DIRECTORY ${PROJECT_SOURCE_DIR}/par_files) +add_test(NAME cmb_bao_demo COMMAND ${CMAKE_INSTALL_PREFIX}/bin/cmb_bao_demo WORKING_DIRECTORY ${PROJECT_SOURCE_DIR}/par_files) + + diff --git a/Cosmo/include/cmb_bao.h b/Cosmo/include/cmb_bao.h new file mode 100644 index 0000000..83dba67 --- /dev/null +++ b/Cosmo/include/cmb_bao.h @@ -0,0 +1,35 @@ +/* ============================================================ * + * cmb_bao.h * + * Martin Kilbinger * + * ============================================================ */ + +#ifndef __CMB_BAO_H +#define __CMB_BAO_H + + +#include +#include +#include +#include + +#include "cosmo.h" +#include "errorlist.h" +#include "io.h" +#include "maths.h" +#include "mvdens.h" + + +double z_star(cosmo *self); +double acoustic_scale(cosmo *self, error **err); +double shift_parameter(cosmo *self, error **err); +double D_V(cosmo *self, double a, error **err); + +double chi2_cmbDP(cosmo *model, mvdens *g, error **err); +double chi2_bao(cosmo *model, mvdens *g, error **err); +double chi2_bao_only(cosmo *model, mvdens *g, error **err); +double chi2_bao_A(cosmo *model, mvdens *g, const double *z_BAO, error **err); +double chi2_bao_d_z(cosmo *model, mvdens *g, const double *z_BAO, error **err); +double chi2_bao_D_V_ratio(cosmo *model, mvdens *g, const double *z_BAO, error **err); + + +#endif diff --git a/Cosmo/include/cosmo.h b/Cosmo/include/cosmo.h new file mode 100644 index 0000000..67667b6 --- /dev/null +++ b/Cosmo/include/cosmo.h @@ -0,0 +1,363 @@ +/* ============================================================ * + * cosmo.h * + * Martin Kilbinger, Karim Benabed 2006-2009 * + * ============================================================ */ + +#ifndef __COSMO_H +#define __COSMO_H + + +#ifdef __cplusplus +extern "C" { +#endif + + +#include +#include +#include +#include +#include + +#include "errorlist.h" +#include "maths.h" +#include "io.h" +#include "config.h" +#include "coyote.h" + + +/* If fastxi is defined, the integration over comoving distances for the lensing * + * power spectrum P_kappa done without the need of interpolating P_NL. */ +#define fastxi + + +/* Hubble radius c/H_0 in units of h^{-1} Mpc */ +#define R_HUBBLE 2997.92458 + +/* Physical photon density omega_gamma = Omega_gamma h^2, for T_cmb = 2.725 */ +#define omega_gamma 2.469e-5 + +/* Effective number of massless neutrino species */ +#define NEFF 3.04 + +/* CMB temperature */ +#define T_CMB 2.725 + +/* Dimensions of interpolation tables */ +#define _N_a 100 // 50 // 200 +/* New! Changed from 100 (nicaea v2.2) -> 250 */ +#define N_k 250 + +/* Ranges of interpolation tables */ +#define a_minmin 0.0009 +/* [k] = h/Mpc */ +#define k_min 3.336e-6 +#define k_max 333.6 +//ATTENTION k_max is set to 3336.0 for HOD (see halomodel/include/halomodel.h +//#define k_max 3336.0 + + +#ifdef __cplusplus +namespace nicaea { +#endif + +typedef enum {linear, pd96, smith03, smith03_de, coyote10, coyote13, halodm, smith03_revised} nonlinear_t; +#define snonlinear_t(i) ( \ + i==linear ? "linear" : \ + i==pd96 ? "pd96" : \ + i==smith03 ? "smith03" : \ + i==smith03_de ? "smith03_de" : \ + i==coyote10 ? "coyote10" : \ + i==coyote13 ? "coyote13" : \ + i==halodm ? "halodm" : \ + i==smith03_revised ? "smith03_revised" : \ + "") +#define Nnonlinear_t 8 + +typedef enum {bbks, eisenhu, eisenhu_osc, Class, be84} transfer_t; +#define stransfer_t(i) ( \ + i==bbks ? "bbks" : \ + i==eisenhu ? "eisenhu" : \ + i==eisenhu_osc ? "eisenhu_osc" : \ + i==Class ? "class" : \ + i==be84 ? "be84" : \ + "") +#define Ntransfer_t 4 + +typedef enum {heath, growth_de} growth_t; +#define sgrowth_t(i) ( \ + i==heath ? "heath" : \ + i==growth_de ? "growth_de" : \ + "") +#define Ngrowth_t 2 + +typedef enum {jassal, linder, earlyDE, poly_DE} de_param_t; +#define sde_param_t(i) ( \ + i==jassal ? "jassal" : \ + i==linder ? "linder" : \ + i==earlyDE ? "earlyDE" : \ + i==poly_DE ? "poly_DE" : \ + "") +#define Nde_param_t 4 + +typedef enum {norm_s8=0, norm_as=1} norm_t; + +/* Cosmology-related errors */ +#define ce_none 0 +#define ce_spcpd -10 +#define ce_nonlin -11 +#define ce_noknl -12 +#define ce_zmax -13 +#define ce_interpol2small -15 +#define ce_interpol2big -16 +#define ce_interpoloutofrangemax -17 +#define ce_alloc -18 +#define ce_wrongValue -19 +#define ce_tooManySteps -20 +#define ce_badFormat -21 +#define ce_singularValue -22 +#define ce_interpoloutofrange -23 +#define ce_underflow -24 +#define ce_unknown -25 +#define ce_negative -26 +#define ce_overflow -27 +#define ce_infnan -28 +#define ce_file -29 +#define ce_transfer -30 +#define ce_no_init -31 +#define ce_nonsquare -32 +#define ce_npar -33 +#define ce_range -34 +#define ce_de -35 +#define ce_omega -36 + +typedef struct { + + /* ============================================================ * + * Cosmological parameters * + * ============================================================ */ + + double Omega_m; /* matter density parameter */ + double Omega_de; /* dark energy parameter */ + double w0_de, w1_de; /* dark energy eos parametrization */ + double *w_poly_de; /* for w(z) = sum_i w_i a^i */ + int N_poly_de; + double h_100; /* Hubble parameter: H_0 = 100 h_100 km/s/Mpc */ + double Omega_b; /* baryon density parameter */ + double Omega_nu_mass; /* density of massive neutrinos */ + double Neff_nu_mass; /* Effective number of massive neutrinos */ + double normalization; /* normalization */ + double sigma_8; /* power spectrum normalization */ + double As; /* As */ + double n_spec; /* spectral index of initial power spectrum */ + + /* ============================================================ * + * Flags. * + * ============================================================ */ + + nonlinear_t nonlinear; /* linear, pd96, smith03, smith03_de, coyote10, coyote13, halodm, smith03_revised */ + transfer_t transfer; /* bbks, eisenhu, eisenhu_osc */ + growth_t growth; /* heath, growth_de */ + de_param_t de_param; /* jassal, linder, earlyDE, poly_DE */ + norm_t normmode; /* 0 sigma8, 1 As */ + + double a_min; /* Minimum scale factor */ + int N_a; + + /* ============================================================ * + * Precomputed stuff. * + * ============================================================ */ + + interTable* linearGrowth; + double growth_delta0; + + interTable* transferFct; + double transfer_alpha_Gamma; + double transfer_s; + interTable* transferBE; + + double cmp_sigma8; /* sigma8 computed */ + interTable2D* P_NL; + interTable* slope; + interTable* w; + //interTable *k_NL; + double *ystar_allz; /* For nonlinear=coyote13 */ + +} cosmo; + + +typedef struct { + double r; + cosmo* self; +} cosmoANDdouble; + +typedef struct { + double r, a; + cosmo *self; +} cosmoAND2double; + +typedef struct { + int i; + double r; + cosmo *self; +} cosmoANDintANDdouble; + +typedef struct { + double r1, r2; + cosmo *self; + int i[2]; +} cosmoANDdoubleANDdoubleAND2int; + +typedef struct { + int i; + cosmo *self; +} cosmoANDint; + +#define NCLOSE(avant,apres) (fabs(avant-apres)>epsilon1) +#define NCOCLOSE(avant,apres,field) (fabs(avant->field-apres->field)>EPSILON1) +#define NCOEQ(avant,apres,field) (avant->field!=apres->field) + + +/* ============================================================ * + * Initialisation. * + * ============================================================ */ + +cosmo* init_parameters(double OMEGAM, double OMEGAV, double W0_DE, double W1_DE, + double *W_POLY_DE, int N_POLY_DE, + double H100, double OMEGAB, double OMEGANUMASS, + double NEFFNUMASS, double NORM, double NSPEC, + nonlinear_t NONLINEAR, transfer_t TRANSFER, growth_t GROWTH, + de_param_t DEPARAM, norm_t normmode, double AMIN, error **err); + +void consistency_parameters(const cosmo *self, error **err); +cosmo* copy_parameters_only(cosmo* source,error **err); +cosmo* copy_parameters(cosmo* source,error **err); +void read_cosmological_parameters(cosmo **self, FILE *F, error **err); +cosmo* set_cosmological_parameters_to_default(error **err); +cosmo *set_cosmological_parameters_to_default2(error **err); + +void free_parameters(cosmo** self); +void updateFrom(cosmo* avant, cosmo* apres, error **err); +void updateParameters(cosmo* model, double OMEGAM, double OMEGAV, double W0_DE, double W1_DE, + double *W_POLY_DE, int N_POLY_DE, + double H100, double OMEGAB, double OMEGANUMASS, double NEFFNUMASS, + double NORM, double NSPEC, nonlinear_t NONLINEAR, transfer_t TRANSFER, + growth_t GROWTH, de_param_t DEPARAM, norm_t normmode, double AMIN, + error **err); + +double perf_pert_poiss(double Omega_m, double n_spec, double h_100, double k_pivot); +void set_norm(cosmo*, error **err); +void set_w_poly_de(double **w_target, int *N_targer, const double *w_source, int N_source, int check, error **err); + +void dump_param(cosmo*, FILE *F); +void dump_param2(cosmo*, FILE *F, char*); + +/* ============================================================ * + * Cosmology. * + * ============================================================ */ + +/* Homogeneous Universe */ +double da_dtau(cosmo*,double a,error **err); +double da_dtau_m3(double a, void *intpar,error **err); +double b_early(double w0, double Omegam, double Omegadeinf, error **err); +double w_de(cosmo*, double a, error **err); +double f_de(cosmo*, double a, error **err); +double Esqr(cosmo*, double a, int wOmegar, error **err); +double Omega_m_a(cosmo*,double a, double Esqrpre, error **err); +double Omega_de_a(cosmo*,double a, double Esqrpre, error **err); +void Omega_a(cosmo*,double a, double *omega_m, double *omega_v); +double w_nu_mass(cosmo *self, double a); + +/* Geometry, distances */ +double int_for_w(double, void *intpar, error **err); +double w(cosmo *, double a, int wOmegar, error **err); +double a_of_w(cosmo *self, double w, error **err); +double dwoverda(cosmo *self, double a, error **err); +double drdz(cosmo *self, double a, error **err); +double dvdz(cosmo *self, double a, error **err); +double volume_ana(cosmo *self, double a, error **err); +double f_K(cosmo*, double w, error **err); +double D_a(cosmo *self, double a, error **err); +double D_a12(cosmo *self, double a1, double a2, error **err); +double D_lum(cosmo *self, double a, error **err); + +/* Growth factor */ +void D_plus_derivs(double a, double *y, double *yp, void* extra, error **err); +double D_plus(cosmo*, double a, int normalised, error **err); +double g(cosmo*, double a); + +/* Transfer function */ +double r_sound(cosmo *model); +double int_for_r_sound(double a, void *intpar, error **err); +double r_sound_integral(cosmo *self, double a, error **err); +double r_sound_drag_fit(cosmo *model, error **err); +double r_sound_drag_analytical(cosmo *self, error **err); +double k_silk(const cosmo *model); +double ratio_b_gamma(cosmo *self, double a); +double z_drag(cosmo *self); +double G_EH98(double y); +double T_tilde(const cosmo *self, double k, double alpha_c, double beta_c); +double Tsqr_one(cosmo*,double k,double Gamma_eff,error **err); +double Tsqr(cosmo*,double k,error **err); + +/* Linear power spectrum */ +double W_tophat(double x); +double int_for_sigma_R(double logk, void *intpar, error **err); +double sigma_8_sqr(cosmo*, error **err); +double P_L(cosmo* ,double a, double k, error **err); +double P_L_nonorm(cosmo* self, double a, double k, error **err); +double sm2_dfridr(double (*func)(cosmo*,double,double,error **), double x, double h, + double *err, double aa, cosmo* self,error **); + + +/* Peacock&Dodds non-linear power spectrum */ +double n_L(cosmo*,double a, double k, error **err); +double f_NL(cosmo*,double x, double a, double k, error **err); + +/* Smith et al. non-linear power spectrum (halofit) */ +double sm2_transfer(cosmo*, double k, error **err); +double Delta_L_BE2(cosmo*, double k, error **err); +double int_for_wint2_knl(double logk, void *intpar, error **err); +double int_for_wint2_neff(double logk, void *intpar, error **err); +double int_for_wint2_ncur(double logk, void *intpar, error **err); +void wint2(cosmo*,double r,double *sig,double *d1,double *d2, double a, int onlysig, + error **err, double precision); +double slope_NL(double rn, double rncur, double om_m, double om_v); +void halofit(double rk, double rn, double rncur, double rknl, double plin, + double om_m, double om_v, double *pnl, nonlinear_t nonlinear, double aa, cosmo *self, error **err); +double dlog(double x); +double P_NL(cosmo *self, double a, double k, error **err); +double P_NL_fitting(cosmo*, double a, double k, error **err); +void set_H0_Coyote(cosmo *self, error **err); + +/* Coyote emulator interface */ +double P_NL_coyote(cosmo *self, double a, double k, error **err); +void set_H0_for_Coyote(cosmo *self, int iterative, error **err); + +int test_range_de_conservative(cosmo *model, error **err); + +/* Index functions for tomography. Used in lensing & halomodel */ +int idx_zz(int i_bin, int j_bin, int Nzbin, error **err); +int idx_zzz(int i_bin, int j_bin, int k_bin, int Nzbin); + + +/* ============================================================ * + * Quick and slow direction support * + * ============================================================ */ +#define CHANGE(fct) int change_##fct(cosmo*, cosmo*) +CHANGE(Esqr); +CHANGE(D_plus); +CHANGE(Tsqr); +CHANGE(sigma_8_sqr); +CHANGE(norm); +CHANGE(Delta_L_BE2); +CHANGE(P_NL); +CHANGE(w); +CHANGE(w_de); +#undef CHANGE + +#ifdef __cplusplus +}} +#endif + + +#endif /* __COSMO_H */ diff --git a/Cosmo/include/decomp_eb.h b/Cosmo/include/decomp_eb.h new file mode 100644 index 0000000..e8bf11d --- /dev/null +++ b/Cosmo/include/decomp_eb.h @@ -0,0 +1,109 @@ +/* ============================================================ * + * decomp_eb.h * + * Martin Kilbinger, Liping Fu 2008, 2009 * + * ============================================================ */ + + +#ifndef __DECOMP_EB_H +#define __DECOMP_EB_H + + +#include +#include +#include +#include + +#include "maths.h" +#include "io.h" +#include "errorlist.h" + + +/* Error codes */ +#define mr_base -1500 +#define mr_range -1 + mr_base +#define mr_poly -2 + mr_base +#define mr_func -3 + mr_base +#define mr_type -4 + mr_base +#define mr_incompatible -5 + mr_base +#define mr_null -6 + mr_base +#define mr_dimension -7 + mr_base +#define mr_file -8 + mr_base + + +/* Maximum COSEBI mode. The code is accurate up * + * to Nmax_cosebi = 13 */ +#define NMAX_COSEBI 20 + + +typedef enum {cheby, cheby2, legen, cosebi} poly_t; +#define spoly_t(i) ( \ + i==cheby ? "cheby" : \ + i==cheby2 ? "cheby2" : \ + i==legen ? "legen" : \ + i==cosebi ? "cosebi" : \ + "") +#define Npoly_t 4 + +/* +typedef enum {cosebi} filter_t; +#define sfilter_t(i) ( \ + i==cosebu ? "cosebi" : \ + "") +#define Nfilter_t 1 +*/ + + +typedef enum {comb_none, all_sc} mring_combinef_t; +#define smring_combinef_t(i) ( \ + i==comb_none ? "comb_none" : \ + i==all_sc ? "all_sc" : \ + "") +#define Nmring_combinef_t 2 + +typedef enum {inner, outer, fromZ} cov_mode_t; + +/* === CFHTLS Wide 3rd data release, Fu&Kilbinger (2010) === */ +#define N_FK10 6 +#define eta_FK10_SN 0.02 +#define eta_FK10_FoM_eta10 0.1 +#define eta_FK10_FoM_eta50 0.02 + + +double Cheby(double x, int n, error **err); +double Cheby2(double x, int n, error **err); +double Legen(double x, int n); +double C(double x, int n, poly_t poly, error **err); +double Tp(double x, const double *a, int N, poly_t poly, error **err); + +double Fn0(double x, int n, poly_t poly, error **err); +void Fnnu(double x, int n, poly_t poly, double Fn[], error **err); +double alpha_explicit(double x, int n, double R, poly_t poly, error **err); +double Tm(double x, const double *a, int N, poly_t poly, double R, error **err); + +double RR_data(const double *xip, const double *xim, const double *th, const int Nxi, + double THETA_MIN, double THETA_MAX, const double *a, int N, + poly_t poly, int pm, error **err); + +double cov_RR(const double *THETA_MIN, const double *THETA_MAX, const double *a, int N, poly_t poly, + const double *theta, const double *cov_xi, int Ntheta, + cov_mode_t cov_mode, int n, int m, double fac, error **err); +double cov_RR_diag_xi(const double *THETA_MIN, const double *THETA_MAX, const double *a, int N, poly_t poly, + const double *theta, const double *var_xi, int Ntheta, int islog, + error **err); + +double chi2_RB_null(const double *RB, const double *covRB, int NRB); + +double *read_zeros_norm_cosebi_auto_check(double Psimin, double Psimax, const char *path, error **err); +double *read_zeros_norm_cosebi(const char *rname, double *psimin, double *psimax, error **err); +double Tplog(double x, const double *r, int n, error **err); +double Tplog_c(double z, const double *c, int n, error **err); +double Tmlog(double x, const double *c, int n, error **err); +double an2(int n, const double *c); +double an4(int n, const double *c); +double dnm(int n, const int m, const double *c); +double sum_combinations(int j, int n, const double *r, error **err); +void xipmEB(double theta, double THETA_MIN, double THETA_MAX, const double *c, + const double *E, const double *B, int N, double xi_pm_EB[4], error **err); + + +#endif diff --git a/Cosmo/include/lensing.h b/Cosmo/include/lensing.h new file mode 100644 index 0000000..8d34bff --- /dev/null +++ b/Cosmo/include/lensing.h @@ -0,0 +1,426 @@ +/* ============================================================ * + * lensing.h * + * * + * Martin Kilbinger, Karim Benabed 2006-2012 * + * ============================================================ */ + +#ifndef __LENSING_H +#define __LENSING_H + +#include +#include +#include +#include +#include + +#include +#include +#include +#include +#include +#include +#include +#include + +#include "errorlist.h" +#include "maths.h" +#include "io.h" +#include "mvdens.h" +#include "par.h" + +#include "hod.h" +#include "halomodel.h" +#include "cosmo.h" +#include "nofz.h" +#include "decomp_eb.h" +#include "reduced_fit.h" + + +/* Dimensions of interpolation tables */ +/* N_s was increased from 200 to 400, for linear tabulation of P_kappa */ +#define N_s 400 +#define N_theta 100 + +/* Ranges of interpolation table for convergence power spectrum. * + * Power-law extrapolation outside these ranges. */ +#define s_min 1.0e-2 +#define s_max 1.0e6 + +/* Ranges of interpolation table for reduced-shear correction * + * power spectrum. No extrapolation outside these ranges. */ +#define ELL_MIN_REDUCED 0.1 +#define ELL_MAX_REDUCED 2.0e5 +#define THETA_P_MIN_REDUCED (0.1*arcmin) +#define THETA_M_MIN_REDUCED (0.5*arcmin) +#define THETA_MAP_MIN_REDUCED (0.2*arcmin) +#define THETA_GSQR_MIN_REDUCED (0.1*arcmin) +#define THETA_MAPGAUSS_MIN_REDUCED (0.1*arcmin) +#define THETA_MAX_REDUCED (1000.0*arcmin) + +#define NELL_REDUCED 50 + + +#define lensing_base -1400 +#define lensing_inconsistent -1 + lensing_base +#define lensing_baryon_fraction -2 + lensing_base +#define lensing_tomoij -3 + lensing_base +#define lensing_initialised -4 + lensing_base +#define lensing_unknown -5 + lensing_base +#define lensing_pm -6 + lensing_base +#define lensing_type -7 + lensing_base +#define lensing_fastxi -8 + lensing_base +#define lensing_nperm -9 + lensing_base +#define lensing_range -10 + lensing_base +#define lensing_cosebi_n_max -11 + lensing_base +#define lensing_ia -12 + lensing_base +#define lensing_angle_format -13 + lensing_base +#define lensing_nzbin -14 + lensing_base +#define lensing_spherical -15 + lensing_base + +/* If Ob/Oc > BARYON_FRAC, chi2 produces an error */ +#define BARYON_FRAC 0.75 + + +/* Intrinsic alignment, constant amplitude C_1 * rho_crit, * + * with C_1 = 5e-14 h^2 Mpc^3/M_sol. */ +#define ia_c1_rho_crit 0.0134 + + +typedef enum {xipm, xip, xim, map2poly, map2gauss, gsqr, decomp_eb, nofz, pkappa, map3gauss, + map3gauss_diag, map2gauss_map3gauss_diag, map2gauss_map3gauss, + decomp_eb_map3gauss_diag, decomp_eb_map3gauss} + lensdata_t; +#define slensdata_t(i) ( \ + i==xipm ? "xipm" : \ + i==xip ? "xip" : \ + i==xim ? "xim" : \ + i==map2poly ? "map2poly" : \ + i==map2gauss ? "map2gauss" : \ + i==gsqr ? "gsqr" : \ + i==decomp_eb ? "decomp_eb" : \ + i==nofz ? "nofz" : \ + i==pkappa ? "pkappa" : \ + i==map3gauss ? "map3gauss" : \ + i==map3gauss_diag ? "map3gauss_diag" : \ + i==map2gauss_map3gauss_diag ? "map2gauss_map3gauss_diag" : \ + i==map2gauss_map3gauss ? "map2gauss_map3gauss" : \ + i==decomp_eb_map3gauss_diag ? "decomp_eb_map3gauss_diag" : \ + i==decomp_eb_map3gauss ? "decomp_eb_map3gauss" : \ + "") +#define Nlensdata_t 15 + +typedef enum {decomp_eb_none, FK10_SN, FK10_FoM_eta10, FK10_FoM_eta50, COSEBIs_log} decomp_eb_filter_t; +#define sdecomp_eb_filter_t(i) ( \ + i==decomp_eb_none ? "none" : \ + i==FK10_SN ? "FK10_SN" : \ + i==FK10_FoM_eta10 ? "FK10_FoM_eta10" : \ + i==FK10_FoM_eta50 ? "FK10_FoM_eta50" : \ + i==COSEBIs_log ? "COSEBIs_log" : \ + "") +#define Ndecomp_eb_filter_t 5 + +/* The following arrays are defined in decomp_eb.c */ +extern const double a_FK10_SN[], a_FK10_FoM_eta10[], a_FK10_FoM_eta50[]; +// r_COSEB[]; + +typedef enum {angle_center, angle_mean, angle_wlinear, angle_wquadr} lensformat_t; +#define slensformat_t(i) ( \ + i==angle_center ? "angle_center" : \ + i==angle_mean ? "angle_mean" : \ + i==angle_wlinear ? "angle_wlinear" : \ + i==angle_wquadr ? "angle_wquadr" : \ + "") +#define Nlensformat_t 4 + +typedef enum {cov_const, cov_ESH09} cov_scaling_t; +#define scov_scaling_t(i) ( \ + i==cov_const ? "cov_const" : \ + i==cov_ESH09 ? "cov_ESH09" : \ + "__undef__") +#define Ncov_scaling_t 2 + +typedef enum {reduced_none, reduced_K10} reduced_t; +#define sreduced_t(i) ( \ + i==reduced_none ? "none" : \ + i==reduced_K10 ? "K10" : \ + "") +#define Nreduced_t 2 + +/* Intrinsic alignment model */ +typedef enum {ia_none, ia_HS04} ia_t; +#define sia_t(i) ( \ + i==ia_none ? "none" : \ + i==ia_HS04 ? "HS04" : \ + "") +#define Nia_t 2 + +/* Bit-coded IA terms */ +typedef enum {ia_undef, ia_GI_II, ia_only_GI, ia_only_II} ia_terms_t; +#define sia_terms_t(i) ( \ + i==ia_undef ? "undef" : \ + i==ia_GI_II ? "GI_II" : \ + i==ia_only_GI ? "only_GI" : \ + i==ia_only_II ? "only_II" : \ + "") +#define Nia_terms_t 4 + +typedef enum {second_order=2, third_order=3} order_t; + +typedef enum {tomo_all, tomo_auto_only, tomo_cross_only} tomo_t; +#define stomo_t(i) ( \ + i==tomo_all ? "tomo_all" : \ + i==tomo_auto_only ? "tomo_auto_only" : \ + i==tomo_cross_only ? "tomo_cross_only" : \ + "") +#define Ntomo_t 3 + +typedef enum {limber, limber_la08, limber_la08_hyb, limber_la08_sph, limber2_la08, limber2_la08_hyb, + limber2_la08_sph, full} projection_t; +#define sprojection_t(i) ( \ + i==limber ? "limber" : \ + i==limber_la08 ? "limber_la08" : \ + i==limber_la08_hyb ? "limber_la08_hyb" : \ + i==limber_la08_sph ? "limber_la08_sph" : \ + i==limber2_la08 ? "limber2_la08" : \ + i==limber2_la08_hyb ? "limber2_la08_hyb" : \ + i==limber2_la08_sph ? "limber2_la08_sph" : \ + i==full ? "full" : \ + "") +#define Nprojection_t 8 + +typedef struct { + int n_max; + double th_min, th_max; + char path[1024]; +} cosebi_info_t; + +typedef struct { + + /* Basic cosmology */ + cosmo *cosmo; + + /* Redshift distribution(s) */ + redshift_t *redshift; + + /* Tomography type */ + tomo_t tomo; + + /* Projection type */ + projection_t projection; + + /* Reduced-shear correction */ + reduced_t reduced; + double q_mag_size; /* q_mag_size = 2(alpha+beta-1), * + * alpha, beta: slopes of number density * + * with flux (alpha), size (beta) */ + + /* Intrinsic aligmnent */ + ia_t ia; + double A_ia; /* IA amplitude */ + ia_terms_t ia_terms; /* Bit-coded terms, GG=1, GI=2, II=4 */ + + /* Halomodel stuff (only initialised if cosmo->nonlinear=halodm) */ + cosmo_hm *hm; + + /* ============================================================ * + * Precomputed stuff. * + * ============================================================ */ + + interTable **g_source; + interTable **Pshear, **Pg1; + + /* Shear second-order functions */ + interTable **xiP, **xiM, **gamma, **map_gauss, **map_poly; + double *c_cosebi, psimin_cosebi, psimax_cosebi; + int N_cosebi; + + /* 2nd-order Limber approximation, power-law parameters for fit to filter function */ + double *w2_c0, *w2_c1; + +} cosmo_lens; + +typedef struct { + double r; + cosmo_lens* self; +} cosmo_lensANDdouble; + +typedef struct { + int i; + double r; + cosmo_lens *self; +} cosmo_lensANDintANDdouble; + +typedef struct { + int i, j, ell; + double r, c; + cosmo_lens *self; + error **err; +} cosmo_lensANDiid; + +typedef struct { + int i, j, t; + double r; + cosmo_lens *self; +} cosmo_lensANDiiid; + +typedef struct { + int i_bin, ell; + double k; + cosmo_lens *lens; + error **err; +} cosmo_lens_par; + +typedef struct { + int i_bin, j_bin, pm, n; + const double *c; + double thmin; + cosmo_lens *self; + error **err; +} cosmo_lensANDextra; + +typedef struct { + int Ntheta, Nzbin; /* Number of angular and redshift bins */ + int Ntheta2; /* For combined 2nd and 3rd-order */ + int Nzcorr; /* Number of z-correlations, Nzcorr=Nzbin*(Nzbin+1)/2 */ + int n; /* Number of total entries in data vector, n=Ntheta*Nzcorr */ + double *theta; /* n-dimensional vector of angular scales */ + double *theta2; /* For angle_range lensformats: (theta,theta2) = (lower,upper) bin limits */ + double *data; /* n-dimensional data vector */ + double *var; /* n-dimensional vector with variance */ + double *cov[3]; /* Maximum three nxn-dimensional covariance matrix */ + double a1, a2; /* Coefficients for 'angle_wquadr' */ + double lndetC; + int usecov; + lensdata_t type; + lensformat_t format; + order_t order; + decomp_eb_filter_t decomp_eb_filter; + cov_scaling_t cov_scaling; + cosmo_lens *fiducial; /* Needed for ESH09 cov scaling */ +} datcov; + + +/* ============================================================ * + * Initialisation. * + * ============================================================ */ + +cosmo_lens *init_parameters_lens(double OMEGAM, double OMEGAV, double W0_DE, double W1_DE, + double *W_POLY_DE, int N_POLY_DE, + double H100, double OMEGAB, double OMEGANUMASS, + double NEFFNUMASS, double NORM, double NSPEC, + int Nzbin, const int *Nnz, const nofz_t *nofz, const photz_t *photz, double *par_nz, + nonlinear_t NONLINEAR, transfer_t TRANSFER, + growth_t GROWTH, de_param_t DEPARAM, + norm_t normmode, tomo_t TOMO, projection_t PROJECTION, reduced_t REDUCED, + double Q_MAG_SIZE, ia_t IA, ia_terms_t ia_terms, double A_IA, error **err); + +void consistency_parameters_lens(const cosmo_lens *self, error **err); +cosmo_lens* copy_parameters_lens_only(cosmo_lens* source, error **err); +cosmo_lens* copy_parameters_lens(cosmo_lens* source, sm2_error **err); +void updateFrom_lens(cosmo_lens* avant, cosmo_lens* apres, error **err); +void copy_parameters_lenshm_cosmo(cosmo_lens *model, error **err); +void read_cosmological_parameters_lens(cosmo_lens **self, FILE *F, error **err); +cosmo_lens* set_cosmological_parameters_to_default_lens(error **err); +void free_parameters_lens(cosmo_lens** self); +void dump_param_lens(cosmo_lens* self, FILE *F, int wnofz, error **err); + +/* ============================================================ * + * Lensing functions. * + * ============================================================ */ + +/* Projection */ +double int_for_g(double aprime, void *intpar, error **err); +double g_source(cosmo_lens*, double a, int n_bin, error **err); +double G(cosmo_lens* self, double a, int n_bin, error **err); +double G_bis(cosmo_lens* self, double a, int n_bin, error **err); +double prefactor_C_shear(double ell, projection_t projection, error **err); +double nu_of_ell(double ell, projection_t projection, error **err); +double w_limber2_one(cosmo_lens *self, double wa, double a, int n_bin, error **err); +double w_limber2(cosmo_lens *self, double wa, double a, int n_bin, int interp, error **err); +double deriv_w_23(cosmo_lens *self, double wa, int n_bin, double *w2, double *w3, error **err); +double int_for_P_kappa_full_chi(double chi, void *intpar); +double int_for_P_kappa_full_logk(double logk, void *intpar); +double int_over_P_kappa_full(cosmo_lens *self, void *intpar); +double int_for_p_2(double a, void *intpar,error **err); +double P_NL_tot(cosmo_lens *self, double a, double k, error **err); +double Pshear_spherical(cosmo_lens *self, int ell, int i_bin, int j_bin, error **err); +double Pshear(cosmo_lens *self, double a, int i_bin, int j_bin, error **err); +double Pshear_L2_Rijt(cosmo_lens *self, int ell, error **err); +double P_projected_kappa(void *self, double l, int i_bin, int j_bin, error **err); +double int_over_P_kappa(cosmo_lens *self, funcwithpars int_for_p, void *intpar, error **err); + +double int_for_p_GI(double a, void *intpar, error **err); +double int_for_p_II(double a, void *intpar, error **err); + + +/* Reduced-shear correction (K10) */ +extern const int parameter[M_PAR]; +cosmo *set_cosmological_parameters_to_WMAP7(const redshift_t *nofz, tomo_t tomo, error **err); +double *par_to_pointer(cosmo *self, par_t par, error **err); +void fill_dpar(cosmo *model, cosmo *wmap7, double *dpar, error **err); +double Fbar(cosmo_lens *self, double a, int m_bin, int n_bin, error **err); +void fill_Fbar_array(cosmo_lens *self, double *fbar, int m_bin, int n_bin, double amin, int N_a, + double da, error **err); +void fill_dFbar_dp_array(cosmo_lens *self, par_t par, double *dfbar_dp, int m_bin, int n_bin, double amin, + int N_a, double da, error **err); +double Pg1(cosmo_lens *self, double s, int i_bin, int j_bin, error **err); + +/* Second-order shear functions */ +double xi(cosmo_lens*, int pm, double theta, int i_bin, int j_bin, error **err); +double gamma2(cosmo_lens*, double theta, int i_bin, int j_bin, error **err); +double map2_poly(cosmo_lens*, double theta, int i_bin, int j_bin, error **err); +double map2_gauss(cosmo_lens*, double theta, int i_bin, int j_bin, error **err); +double RR(cosmo_lens *lens, double THETA_MIN, double THETA_MAX, const double *aa, int N, + poly_t poly, int pm, error **err); +double E_cosebi(cosmo_lens *lens, int n, double Psimin, double Psimax, int i_bin, int j_bin, + const char *path, double *B_cosebi, error **err); +double RR_cosebi(cosmo_lens *lens, double THETA_MIN, double THETA_MAX, int i_bin, int j_bin, + int n, int pm, error **err); +double dRR_cosebi_dz_MC(double *z, int ndim, void *intpar); +double dRR_cosebi_dz(double z, void *intpar, error **err); +double int_for_map2_slow(double ell, void *intpar, error **err); +double map2_slow(cosmo_lens *self, double theta, tpstat_t tpstat, int i_bin, int j_bin, error **err); + +/* Reading data files */ +datcov *init_data_cov_tomo(char* dataname, char *dataname2, char** covname_ptr, lensdata_t type, + decomp_eb_filter_t decomp_eb_filter, + lensformat_t format, double corr_invcov, + double a1, double a2, order_t order, + cov_scaling_t cov_scaling, error **err); +datcov *init_datcov_for_cov_only(int Nzbin, int Ntheta, error **err); + +void del_data_cov(datcov** dc); +void read_data_tomo(datcov *dc, char data_name[], int Nzbin, order_t order, error **err); +void read_cov_tomo(datcov* dc, char cov_name[], int icov, error **err); +void datcov2xipm(const datcov *dc, int i_bin, int j_bin, double **xip, double **xim, double **theta, + double **theta2, int *N, error **err); + +//void read_cov(datcov* dc, char cov_name[], error **err); +void read_cov_col(datcov *dc, char cov_name[], error **err); + +int get_pm(lensdata_t type, int i, int Ntheta, error **err); +int find_bin(double x, const double *list, int N, int prev, error **err); +void scale_cosmic_variance_ESH09(cosmo_lens *model, gsl_matrix *cov, const datcov *dc, error **err); +void scale_mixed_ESH09(const cosmo_lens *model, gsl_matrix *cov, const datcov *dc, error **err); +double lensing_signal(cosmo_lens *model, double theta, int i_bin, int j_bin, lensdata_t type, + decomp_eb_filter_t decomp_eb_filter, const cosebi_info_t *cosebi_info, error **err); +double chi2_lensing(cosmo_lens* csm, datcov* dc, int return_model, double **model_array, int *Nmodel, + const cosebi_info_t *cosebi_info, error **err); + +/* Some third-order stuff which is called from lensing.c */ +int Nperm_to_Ntheta(int Nperm, error **err); +void read_data_3rd(datcov *dc, char data_name[], int Nzbin, error **err); +void read_data_2nd_3rd(datcov *res, char *dataname, char *dataname2, error **err); + + +#define CHANGE(fct) int change_##fct(cosmo_lens*, cosmo_lens*) +CHANGE(g_source); +CHANGE(Pshear); +CHANGE(xi); +CHANGE(gamma2); +CHANGE(map2); +#undef CHANGE + + +#endif /* __LENSING_H */ + diff --git a/Cosmo/include/lensing_3rd.h b/Cosmo/include/lensing_3rd.h new file mode 100644 index 0000000..e0d13cf --- /dev/null +++ b/Cosmo/include/lensing_3rd.h @@ -0,0 +1,227 @@ +/* ============================================================ * + * lensing_3rd.h * + * Martin Kilbinger, Liping Fu 2010. * + * ============================================================ */ + +#ifndef __LENSING_3RD_H +#define __LENSING_3RD_H + +#include +#include +#include +#include +#include + +#include +#include +#include +#include +#include +#include + +#include "cosmo.h" +#include "nofz.h" +#include "lensing.h" +#include "errorlist.h" +#include "maths_base.h" + + +#define tenoverseven 1.428571428571 +#define fouroverseven 0.571428571429 + + +/* Minimum scale factor where a non-linear scale can be defined. * + * See {a,b,c}scocou. */ +#define A_NL_MIN 0.02 + +#define s2_min 0.1 +#define s2_max 1.0e6 +#define N_s2 50 +#define epsilon0 1.0e-2 +#define N_EFF_MIN -2.0 + + +/* more ce_xyz in smith2.h */ +#define lensing_3rd_base -2400 +#define lensing_3rd_wrongmode -1 + lensing_3rd_base +#define lensing_3rd_rootbracket -4 + lensing_3rd_base +#define lensing_3rd_slc -5 + lensing_3rd_base + +typedef enum {fgauss=0, fpoly=1, ftophat=2, fdelta=3, fxip=4, fxim=5, fall=6} filter_t; + +typedef enum {PT=0, SCOCOU=1, GM12} bispmode_t; +#define sbispmode_t(i) ( \ + i==PT ? "PT" : \ + i==SCOCOU ? "scocou01" : \ + i==GM12 ? "GM12" : \ + "") +#define Nbispmode_t 3 + +/* Intrinsic 3rd-order alignment model */ +typedef enum {ia_3rd_none, ia_3rd_S08} ia_3rd_t; +#define sia_3rd_t(i) ( \ + i==ia_3rd_none ? "none" : \ + i==ia_3rd_S08 ? "S08" : \ + "") +#define Nia_3rd_t 2 + +/* Bit-coded IA terms */ +typedef enum {ia_3rd_undef, ia_GGI_GII_III, ia_only_GGI, ia_only_GII, ia_only_III} ia_3rd_terms_t; +#define sia_3rd_terms_t(i) ( \ + i==ia_3rd_undef ? "undef" : \ + i==ia_GGI_GII_III ? "GGI_GII_III" : \ + i==ia_only_GGI ? "only_GGI" : \ + i==ia_only_GII ? "only_GII" : \ + i==ia_only_III ? "only_III" : \ + "") +#define Nia_3rd_terms_t 5 + +/* Source-lens clustering */ +typedef enum {slc_none, slc_FK13} slc_t; +#define sslc_t(i) ( \ + i==slc_none ? "none" : \ + i==slc_FK13 ? "slc_FK13" : \ + "") +#define Nslc_t 2 + +typedef enum {kkk=0, kkg=1, kgg=2, ggg=3} bispfield_t; + +typedef struct { + + /* Lensing, including basic cosmology and redshift distribution)(s) */ + cosmo_lens *lens; + + /* Intrinsic alignment parameters */ + ia_3rd_t ia; + ia_3rd_terms_t ia_terms; + double A_GGI, theta_GGI, A_GII, theta_GII; + + /* Source-lens clustering */ + slc_t slc; + double b_slc, gamma_slc; + + /* ============================================================ * + * Precomputed stuff (at the moment only one redshift-bin). * + * ============================================================ */ + + interTable *k_NL, *n_eff; + double scale_NL_amin; + interTable2D **B_kappa[3]; + + bispmode_t bispmode; + +} cosmo_3rd; + + +typedef struct { + double r1, r2; + cosmo_3rd *self; +} cosmo3ANDdoubleANDdouble; + +typedef struct { + double r1, r2; + cosmo_3rd *self; + int i, n_bin[3]; +} cosmo3ANDtomo; + +typedef struct { + cosmo_3rd *self; + double R[3]; + filter_t wfilter; + int n_bin[3]; + int m; + error **err; +} cosmo3ANDmorestuff; + +typedef struct { + cosmo_3rd *self; + error **err; + double a1, a2, f1, f2, R; +} cosmo3SLC; + +cosmo_3rd *init_parameters_3rd(double OMEGAM, double OMEGAV, double W0_DE, double W1_DE, + double *W_POLY_DE, int N_POLY_DE, + double H100, double OMEGAB, double OMEGANUMASS, + double NEFFNUMASS, double NORM, double NSPEC, + int Nzbin, const int *Nnz, const nofz_t *nofz, const photz_t *photz, double *par_nz, + nonlinear_t NONLINEAR, transfer_t TRANSFER, + growth_t GROWTH, de_param_t DEPARAM, + norm_t normmode, + ia_t IA, ia_terms_t IA_TERMS, double A_IA, + bispmode_t BISPMODE, + ia_3rd_t IA_3RD, ia_3rd_terms_t IA_3RD_TERMS, double A_GGI, double theta_GGI, + double A_GII, double theta_GII, + slc_t slc, double b_slc, double gamma_slc, + error **err); + +void consistency_parameters_3rd(const cosmo_3rd *self, error **err); +cosmo_3rd *copy_parameters_3rd_only(cosmo_3rd *source, error **err); +void updateFrom_3rd(cosmo_3rd *avant, cosmo_3rd *apres, error **err); +cosmo_3rd *set_cosmological_parameters_to_default_lens_3rd(error **err); +void read_cosmological_parameters_lens_3rd(cosmo_3rd **self, FILE *F, error **err); +void free_parameters_3rd(cosmo_3rd **self); +void dump_param_3rd(cosmo_3rd* self, FILE *F, error **err); + +double dcub(double a); +double n_eff_one(cosmo *self, double k, error **err); +double n_eff(cosmo_3rd *, double, int, error **); +double Q3(double, error **err); +double temp_NL(double, double, cosmo *, error **); +double scale_NL(cosmo_3rd *, double, error **); + +double ascocou(cosmo_3rd *, double, double, error **); +double bscocou(cosmo_3rd *, double, double, error **); +double cscocou(cosmo_3rd *, double, double, error **); + +double int_for_B_kappa_bar0(double a, void *intpar, error **err); +double int_for_B_kappa_bar1(double a, void *intpar, error **err); +double int_for_B_kappa_bar2(double a, void *intpar, error **err); +double int_for_B_kappa_bar3(double a, void *intpar, error **err); + +double F2eff(cosmo_3rd *, double a, double k1, double k2, double cosphi, error **); +double F2bar(int, double, double, error **); +double F2(int, double, double, error **); +double F2cos(int, double, error **err); + +double Q_123(cosmo_3rd *, double, double, double, double, error **); +double bb(cosmo_3rd *, double, double, double, int i_bin, int j_bin, int k_bin, error **); +double B_kappa_bar(cosmo_3rd *self, double s1, double s2, int abc, int i_bin, int j_bin, int k_bin, error **err); + +double hept_rtbis(double (*func)(double,double,cosmo*,error**), double, double, + double, double, cosmo *, error **); +double B_delta(cosmo_3rd *self, double k1, double k2, double cosbeta, double a, + error **err); + +double Uhat_one(double x, filter_t wfilter); +double Uhat(double eta, filter_t wfilter); +void permute3(double *x, int offset); +double int_for_map3_3d(double x[], size_t dim, void *intpar); +double map3_perm(cosmo_3rd *self, double R[3], int i_bin, int j_bin, int k_bin, filter_t wfilter, error **err); +double map3(cosmo_3rd *self, double R[3], int i_bin, int j_bin, int k_bin, filter_t wfilter, error **err); + +double int_for_E_GGI(cosmo_lens *self, double zs1, double zs2, double zl, error **err); +double E_GGI(cosmo_lens *self, error **err); +double map3_GGI(cosmo_3rd *self, double theta, error **err); + +double int_for_E_GII(cosmo_lens *self, double zs, double zl, error **err); +double E_GII(cosmo_lens *self, error **err); +double map3_GII(cosmo_3rd *self, double theta, error **err); + +double map3_SLC_t1(cosmo_3rd *self, double R, int n_bin, error **err); +double bias_SLC(cosmo_3rd *self, double a, error **err); +double int_for_Q_mc(double x[], size_t dim, void *intpar); +double Q_mc(cosmo_3rd *self, double a1, double a2, double f1, double f2, double R, double *abserr, + double *chisqr, error **err); + + +double lensing_signal_3rd(cosmo_3rd *self, double theta[3], int i_bin, int j_bin, int k_bin, error **err); +void fill_dmm_map3gauss_diag(cosmo_3rd *self, double *data_minus_model, int start, const double *data, + int Nzbin, int Ntheta, double *theta, error **err); +void fill_dmm_map3gauss(cosmo_3rd *self, double *data_minus_model, int start, const double *data, + int Ntheta, double *theta, error **err); +double chi2_lensing_3rd(cosmo_3rd *self, datcov *dc, const cosebi_info_t *cosebi_info, error **err); + + + +#endif + diff --git a/Cosmo/include/nofz.h b/Cosmo/include/nofz.h new file mode 100644 index 0000000..b252b8b --- /dev/null +++ b/Cosmo/include/nofz.h @@ -0,0 +1,142 @@ +/* ============================================================ * + * nofz.h * + * Martin Kilbinger 2009 * + * ============================================================ */ + +#ifndef __NOFZ_H +#define __NOFZ_H + +#include +#include +#include + +#include "config.h" +#include "errorlist.h" +#include "io.h" +#include "maths.h" +#include "cosmo.h" + +#define redshift_base -1700 +#define redshift_nnz -1 + redshift_base +#define redshift_zmax -2 + redshift_base +#define redshift_parnzerror -3 + redshift_base +#define redshift_betap -4 + redshift_base +#define redshift_unknown -5 + redshift_base +#define redshift_Nzbin -6 + redshift_base +#define redshift_narrow_hist -7 + redshift_base +#define redshift_type -8 + redshift_base +#define redshift_dz -9 + redshift_base +#define redshift_integration -10 + redshift_base + +/* Very narrow redshift bins cause a bug in the shear correlation function */ +#define MINIMUM_ZBIN_WIDTH 0.1 + +/* Maximum redshift in case of photometric redshift errors, where the * + * distribution formally goes to infinity. */ +#define ZMAX 7 + +/* Distribution types and functions */ +typedef enum {ludo, jonben, ymmk, ymmk0const, cfhtlens, hist, single} nofz_t; +#define snofz_t(i) ( \ + i==ludo ? "ludo" : \ + i==jonben ? "jonben" : \ + i==ymmk ? "ymmk" : \ + i==ymmk0const ? "ymmk" : \ + i==cfhtlens ? "cfhtlens" : \ + i==hist ? "hist" : \ + i==single ? "single" : \ + "") +#define Nnofz_t 7 + +/* Photometric redshift error types */ +typedef enum {photz_no, photz_gauss} photz_t; +#define sphotz_t(i) ( \ + i==photz_no ? "photz_no" : \ + i==photz_gauss ? "photz_gauss" : \ + "") +#define Nphotz_t 2 + +#define Nnzmode_t 2 +typedef enum {nz_fit_hist, nz_read_from_files} nzmode_t; +#define snzmode_t(i) ( \ + i==nz_fit_hist ? "nz_fit_hist" : \ + i==nz_read_from_files ? "nz_read_from_files" : \ + "") + +typedef struct { + int Nzbin; /* Number of redshift bins */ + int *Nnz; /* Number of parameters in each bin */ + int Nnz_max; /* max(Nnz) */ + nofz_t *nofz; /* Redshift distribution type for each bin */ + photz_t *photz; /* Photometric redshift error type, convoling whatever type is */ + double *par_nz; /* Redshift Parameter (Nzbin x Nnz_max) */ + double *prob_norm; /* Redshift distribution normalisation */ + double *z_rescale; /* Rescaling n(z) -> n(z_rescale*z) */ +} redshift_t; + +typedef struct { + int i; + redshift_t *self; +} redshiftANDint; + +typedef struct { + double z; + redshift_t *redshift; + int n_bin, Npz; + error **err; +} params_photz_t; + +typedef struct { + double sigma_z, z_bias, c_cal, f_out, sigma_z_out, z_bias_out, c_cal_out; +} params_photz_gauss; + + +/* The usual inits, copys and updates */ +redshift_t *init_redshift_empty(int Nzbin, int Nnz_max, error **err); +redshift_t *init_redshift(int Nzbin, const int *Nnz, const nofz_t *nofz, const photz_t *photz, + const double *par_nz, const double *z_rescale, error **err); +redshift_t *copy_redshift(const redshift_t *REDSHIFT, error **err); +void updateFrom_redshift(redshift_t *avant, redshift_t *apres); +void free_redshift(redshift_t **self); +void free_and_reinit_redshift(redshift_t **self, int Nzbin, int Nnz_max, error **err); +void dump_redshift(redshift_t *self, FILE *F, error **err); +void dump_redshift_nostruct(int Nzbin, int *Nnz, nofz_t *nofz, photz_t *photz, double *par_nz, int Nnz_max, FILE *F); + +/* Reading from files */ +void read_redshift_info(redshift_t **self, FILE *F, error **err); +void read_redshift_slice(redshift_t *self, int n_bin, const char *name, error **err); +void fill_redshift_slice(redshift_t *self, int n_bin, nofz_t nofz, photz_t photz, error **err, ...); +void get_nofz_t_file(const char *name, nofz_t *nofz, photz_t *photz, error **err); +void Nnz_from_file(const char *name, int *Nnz, error **err); +double *read_par_nz_hist(const char *name, int *Nnz, error **err); +redshift_t *init_redshift_from_files(const char **name, int Nzbin, error **err); +redshift_t *init_redshift_from_histogram_file(const char *name, error **err); + + +/* Redshift distribution */ +double get_zmin(const redshift_t *redshift, int n_bin); +double get_zmax(const redshift_t *redshift, int n_bin); +double get_amin(const redshift_t *redshift, error **err); +double get_zmin_ph(const redshift_t *redshift, int n_bin); +double get_zmax_ph(const redshift_t *redshift, int n_bin); +double prob_unnorm(double z, void *intpar, error **err); +double dpn_dz(double zp, void *intpar); +double gaussian(double z, double mu, double sigma); +double prob_photz(double z, double zp, photz_t photz, const double *par_pz, error **err); +double prob_unnorm_nofz(double z, int n_bin, const redshift_t *self, error **err); +double prob(redshift_t *self, double z, int n_bin, error **err); +double int_for_zmean(double z, void *intpar, error **err); +double zmean(redshift_t*, int n_bin, error **err); +double zmedian(redshift_t *self, int n_bin, error **err); + +int get_and_check_Nzbin(int Nzcorr, int Nzbin, error **err); + +#define CHANGE(fct) int change_##fct(redshift_t*, redshift_t*) +CHANGE(prob); +CHANGE(redshift); +#undef CHANGE + +int change_zmean(redshift_t *, redshift_t *, error **err); + + +#endif diff --git a/Cosmo/include/reduced_fit.h b/Cosmo/include/reduced_fit.h new file mode 100644 index 0000000..dce4267 --- /dev/null +++ b/Cosmo/include/reduced_fit.h @@ -0,0 +1,50 @@ +#ifndef __REDUCED_FIT_H +#define __REDUCED_FIT_H + + +#include +#include +#include + + +/* Error codes */ +#define reduced_base -2100 +#define reduced_par -1 + reduced_base +#define reduced_limit -2 + reduced_base +#define reduced_fourier_limit -3 + reduced_base +#define reduced_realsp_limit -4 + reduced_base + +/* Matrix dimensions */ +#define M_PAR 8 +#define N_POLY 8 +#define N_PL 4 +#define N_B 4 +#define N_C 4 + + +extern const double B_fit[M_PAR][N_PL][N_B]; +extern const double C_fit[M_PAR][N_POLY][N_C]; +extern const double limits_lower[M_PAR]; +extern const double limits_upper[M_PAR]; + +/* Limits for asymptotic power-law fits, y=ln(l) */ +#define Y_LOW 2.0 +#define Y_UP 11.5 + +/* Numerical derivatives */ +#define FH 0.01 + + +double h_piece(double logell, const double b[]); + +double sum_B_a(int alpha, int i, double a); +double sum_C_a(int alpha, int i, double a); +double Q(int alpha, double logell, double a); +double h_piece(double logell, const double b[]); +double Q(int alpha, double logell, double a); +double sum_a_for_Pg1(double logell, double a_min, int Na, double da, const double *fmn, const double **dfmn_dp, + const double dpar[M_PAR]); +int check_limits(const double dpar[M_PAR]); + + +#endif diff --git a/Cosmo/include/sn1a.h b/Cosmo/include/sn1a.h new file mode 100644 index 0000000..54f1370 --- /dev/null +++ b/Cosmo/include/sn1a.h @@ -0,0 +1,132 @@ +/* ============================================================ * + * sn1a.h * + * ============================================================ */ + + +#ifndef __SN1A_H +#define __SN1A_H + + +#include +#include +#include +#include + +#include "cosmo.h" +#include "errorlist.h" +#include "io.h" +#include "maths.h" +#include "mvdens.h" + + +/* Number of derivatives */ +#define NDER 8 + +/* Number of light curve parameters */ +//#define NLCP 3 +#define NLCP 4 + +/* Chi^2 methods */ +typedef enum {chi2_simple, chi2_Theta2_denom_fixed, chi2_no_sc, chi2_betaz, chi2_dust, chi2_residual} chi2mode_t; +#define schi2mode_t(i) ( \ + i==chi2_simple ? "chi2_simple" : \ + i==chi2_Theta2_denom_fixed ? "chi2_Theta2_denom_fixed" : \ + i==chi2_no_sc ? "chi2_no_sc" : \ + i==chi2_betaz ? "chi2_betaz" : \ + i==chi2_dust ? "chi2_dust" : \ + i==chi2_residual ? "chi2_residual" : \ + "" ) +#define Nchi2mode_t 6 + +/* Data formats */ +typedef enum {SNLS_firstyear, SN_SALT} sndatformat_t; +#define ssndatformat_t(i) ( \ + i==SNLS_firstyear ? "SNLS_firstyear" : \ + i==SN_SALT ? "SN_SALT" : \ + "") +#define Nsndatformat_t 2 + +/* Cosmological and nuisance parameters */ +typedef struct { + + cosmo *cosmo; /* Cosmological pararmeters (from cosmo.h) */ + double Theta1[NDER]; /* Systematic uncertainties, regarding photometric calibration and filter */ + double Theta2[NLCP]; /* 0=-M, 1=alpha, 2=-beta */ + double Theta2_denom[NLCP]; /* fixed alppha, beta in sigma^2(musb), Theta2_denom[0] unused */ + double beta_d; /* Dust absorption coefficient, = R_B */ + + double stretch, color; /* True stretch, color */ + + chi2mode_t chi2mode; + +} cosmo_SN; + +/* SNIa data type (an individual SN) */ +typedef struct { + + double z; /* redshift */ + double musb; /* brightness in B restframe */ + double s,c; /* stretch color */ + + double dust; /* Intergalactic dust absorption */ + + double derivative[NDER]; /* derivatives w.r.t systematics */ + + double cov[NLCP][NLCP]; /* covariance matrix of (musb, 1, s-1, c) */ + double dl, mu_c; + +} SnData; + +/* SNIa sample type (contains all data) */ +typedef struct { + + double int_disp; + double sig_mu_pec_vel, logdetW1; + double *W1; + int W1dim, Nsample; + + SnData *data; + +} SnSample; + +/* Initialisation */ +cosmo_SN *init_parameters_SN(double OMEGAM, double OMEGADE, double W0_DE, double W1_DE, + double *W_POLY_DE, int N_POLY_DE, + double H100, double OMEGAB, double OMEGANUMASS, + double NEFFNUMASS, double NORM, double NSPEC, + nonlinear_t NONLINEAR, transfer_t TRANSFER, growth_t GROWTH, + de_param_t DEPARAM, norm_t normmode, + chi2mode_t CHI2MODE, double THETA1[], double THETA2[], double BETA_D, + double AMIN, error **err); +cosmo_SN *copy_parameters_SN_only(cosmo_SN *source, error **err); +void read_cosmological_parameters_SN(cosmo_SN **self, FILE *F, error **err); +void updateFrom_SN(cosmo_SN* avant, cosmo_SN* apres, error **err); +cosmo_SN* set_cosmological_parameters_to_default_SN(error **err); +cosmo_SN* set_cosmological_parameters_to_best_fit_SNLS_WMAP5(error **err); +cosmo_SN* set_cosmological_parameters_to_best_fit_SNLS(error **err); +cosmo_SN* set_cosmological_parameters_to_best_fit_Union(error **err); +cosmo_SN* set_cosmological_parameters_to_EdS_SN(error **err); +void free_parameters_SN(cosmo_SN **self); + +void dump_param_SN(cosmo_SN *self, FILE *F); + +/* IO */ +void readSnData(char *line, SnData *sndata, sndatformat_t sndatformat, error **err); +SnSample *SnSample_read(const char *FileName, sndatformat_t sndatformat, error **err); +void out_SnSample(const SnSample *sn, FILE *F); +void out_model(const cosmo_SN *cosmo, FILE *F, error **err); + +void SetDl(cosmo_SN *self, SnSample *sn, error **err); +double DistModVariance(const SnData *snd, const double *Theta2); +double vect_scalar_product(const double *x, const double *A, int N); + +double int_for_Nhalo_z(double z, void *intpar, error **err); +double Nhalo_z(cosmo *cosmo, double z, error **err); + +double chi2_SN_residual(const cosmo_SN *cosmo, const SnSample *sn, error **err); +double chi2_SN(const cosmo_SN *cosmo, const SnSample *sn, mvdens *data_beta_d, + int wTheta1, int add_logdetCov, error **err); + +double distance_module(cosmo *self, double dlum, error **err); + +#endif /* __SN1A_H */ diff --git a/Cosmo/src/cmb_bao.c b/Cosmo/src/cmb_bao.c new file mode 100644 index 0000000..a8b8742 --- /dev/null +++ b/Cosmo/src/cmb_bao.c @@ -0,0 +1,207 @@ +/* ============================================================ * + * cmb_bao.c * + * Martin Kilbinger 2008 * + * Contains the CMB 'distance priors' (Komatsu et al.2008, K08) * + * and BAO distance ratios (e.g. Eisenstein et al. 2005, E05, * + * Percival et al. 2007, P07). * + * ============================================================ */ + +#include "cmb_bao.h" + +/* ============================================================ * + * Hu & Sugiyama (1996) fitting formula for the decoupling red- * + * shift, see also K08 (66-68). * + * ============================================================ */ +double z_star(cosmo *self) +{ + double g1, g2, ob, om, h2, zs; + + h2 = self->h_100*self->h_100; + ob = self->Omega_b*h2; + om = self->Omega_m*h2; + + g1 = 0.0783*pow(ob, -0.238)/(1.0 + 39.5*pow(ob, 0.763)); + g2 = 0.560*(1.0 + 21.1*pow(ob, 1.81)); + zs = 1048.0*(1.0 + 0.00124*pow(ob, -0.738))*(1.0 + g1*pow(om, g2)); + + return zs; +} + +/* K08 (65) */ +double acoustic_scale(cosmo *self, error **err) +{ + double zs, l_A, ws, as, r_s; + + zs = z_star(self); + as = 1.0/(1.0+zs); + ws = w(self, as, 1, err); forwardError(*err, __LINE__, -1.0); + + /* f_K is comoving angular diameter distance, therefore no (1+z_*) prefactor */ + l_A = pi*f_K(self, ws, err); forwardError(*err, __LINE__, -1.0); + r_s = r_sound_integral(self, as, err); forwardError(*err, __LINE__, -1.0); + l_A /= r_s; + + return l_A; +} + +/* K08 (69) */ +double shift_parameter(cosmo *self, error **err) +{ + double R, zs, ws, as; + + zs = z_star(self); + as = 1.0/(1.0+zs); + ws = w(self, as, 0, err); forwardError(*err, __LINE__, -1.0); + R = sqrt(self->Omega_m)*f_K(self, ws, err); forwardError(*err, __LINE__, -1.0); + R /= R_HUBBLE; + + return R; +} + +/* Spherically average distance, E05, eq. (2), in units of Mpc/h */ +double D_V(cosmo *self, double a, error **err) +{ + double DV, ww, fK, EE; + + ww = w(self, a, 0, err); forwardError(*err, __LINE__, -1.0); + fK = f_K(self, ww, err); forwardError(*err, __LINE__, -1.0); + EE = Esqr(self, a, 0, err); forwardError(*err, __LINE__, -1.0); + + DV = fK*fK/sqrt(EE)*R_HUBBLE*(1.0/a - 1.0); + + return cbrt(DV); +} + +/* ============================================================ * + * Log-likelihood for the CMB distance priors. * + * ============================================================ */ +double chi2_cmbDP(cosmo *model, mvdens *g, error **err) +{ + double *x, c2; + size_t ndim; + + ndim = g->ndim; + + testErrorRet(ndim!=3 && ndim!=4, ce_npar, + "Number of dimensions in likelihood for CMB distance prior has to be 3 or 4", + *err, __LINE__, 0.0); + + x = malloc_err(sizeof(double)*ndim, err); forwardError(*err, __LINE__, 0.0); + + //dump_param(model, stderr); + + x[0] = acoustic_scale(model, err); forwardError(*err, __LINE__, 0.0); + x[1] = shift_parameter(model, err); forwardError(*err, __LINE__, 0.0); + x[2] = z_star(model); + + if (ndim==4) { + /* 100*omega_b */ + x[3] = 100.0*model->Omega_b*model->h_100*model->h_100; + } + + c2 = mvdens_log_pdf(g, x, err); + forwardError(*err, __LINE__, 0.0); + + free(x); + + return c2; +} + +double chi2_bao_A(cosmo *model, mvdens *g, const double *z_BAO, error **err) +{ + double *x, c2; + int i, ndim; + + ndim = g->ndim; + + x = malloc_err(sizeof(double)*ndim, err); forwardError(*err, __LINE__, 0.0); + + /* BAO data ("A" parameter, Eisenstein 2005 eq 4): * + * x = D_V(z)/cz * sqrt(Omega_m) * H_0 */ + + for (i=0; iOmega_m)/z_BAO[i]/R_HUBBLE; + } + + c2 = mvdens_log_pdf(g, x, err); forwardError(*err, __LINE__, 0.0); + free(x); + + testErrorRet(!finite(c2), ce_infnan, "inf or nan in logl", *err, __LINE__, 0.0); + + return c2; +} + +double chi2_bao_d_z(cosmo *model, mvdens *g, const double *z_BAO, error **err) +{ + double *d_z, c2, r_s; + int i, ndim; + + ndim = g->ndim; + + d_z = malloc_err(sizeof(double)*ndim, err); forwardError(*err, __LINE__, 0.0); + + //dump_param(model, stderr); + + /* BAO data (Percival et al. 2009): d_z = r_sound(r_d)/D_V(z) */ + + /* Corrections of r_s to match Percival 09 r_s = 111.426 Mpc/h. * + * With fnu!=0 in z_drag, r_sound_integral() gives r_s = 112.091. * + * With fnu=0, we get 111.284, within 0.13% of Percival 09. */ + + double z_d, a_d; + z_d = z_drag(model); + a_d = 1.0/(1.0+z_d); + r_s = r_sound_integral(model, a_d, err); forwardError(*err, __LINE__, -1.0); + + //r_s = r_sound_drag_analytical(model, err); + + //r_s = r_sound_drag_fit(model, err); + + //r_s = 153.5 * model->h_100; + //double h2; + //h2 = model->h_100 * model->h_100; + //r_s *= pow(model->Omega_m*h2/0.1326, -0.255); //*pow(model->Omega_b*h2/0.02273, -0.134); + + for (i=0; indim; + + R = malloc_err(sizeof(double)*ndim, err); forwardError(*err, __LINE__, 0.0); + + //dump_param(model, stderr); + + /* BAO data (Percival et al. 2007, 2009): R = D_V(z_1)/D_V(z_2) */ + + for (i=0; iOmega_m = OMEGAM; + res->Omega_de = OMEGADE; + + if (DEPARAM != poly_DE) { + res->w0_de = W0_DE; + res->w1_de = W1_DE; + res->w_poly_de = NULL; + res->N_poly_de = 0; + } else { + set_w_poly_de(&res->w_poly_de, &res->N_poly_de, W_POLY_DE, N_POLY_DE, 1, err); + + /* MDKDEBUG: know what we are doing here! */ + res->w0_de = res->w_poly_de[0]; + res->w1_de = -1.0e30; + } + + res->h_100 = H100; + res->Omega_b = OMEGAB; + res->Omega_nu_mass = OMEGANUMASS; + res->Neff_nu_mass = NEFFNUMASS; + res->normalization = NORM; + res->n_spec = NSPEC; + + res->nonlinear = NONLINEAR; + res->transfer = TRANSFER; + res->growth = GROWTH; + res->de_param = DEPARAM; + res->normmode = normmode; + + if (AMIN>0.0) res->a_min = AMIN; + else res->a_min = a_minmin; + + /* Reset pre-computed numbers and tables */ + + /* New 06/2014: Set N_a such that da >= 0.001 */ + N_a_min = (int)((1.0 - res->a_min) / 0.001) + 1; + if ( N_a_min < _N_a) { + res->N_a = _N_a; + } else { + res->N_a = N_a_min; + } + + //printf("N_a, da, a_min = %d %g %g\n", res->N_a, (1.0 - res->a_min) / (res->N_a - 1), res->a_min); //, N_a_min); + + res->linearGrowth = NULL; + res->growth_delta0 = -1; + res->transferFct = NULL; + res->transfer_alpha_Gamma = -1; + res->transfer_s = -1; + res->transferBE = NULL; + res->cmp_sigma8 = -1; + res->P_NL = NULL; + res->slope = NULL; + res->w = NULL; + res->ystar_allz = NULL; + + set_norm(res, err); forwardError(*err, __LINE__, NULL); + + consistency_parameters(res, err); forwardError(*err, __LINE__, NULL); + + return res; +} + +/* ============================================================ * + * Checks consistency of parameters. This function is called * + * in init_parameters and updateFrom. * + * ============================================================ */ +void consistency_parameters(const cosmo *self, error **err) +{ + testErrorRetVA(self->h_100 <= 0.0, ce_negative, + "Negateive Hubble parameter h_100 = %g", *err, __LINE__,, self->h_100); + testErrorRetVA(self->Omega_m < 0.0, ce_negative, + "Negative matter density parameter Omega_m = %g", *err, __LINE__,, self->Omega_m); + testErrorRetVA(self->Omega_b < 0.0, ce_negative, + "Negative baryon density parameter Omega_b = %g", *err, __LINE__,, self->Omega_b); + testErrorRetVA(self->Omega_nu_mass<0.0, ce_negative, + "Negative density parameter of massive neutrinos Omega_nu_mass = %g", *err, + __LINE__,, self->Omega_nu_mass); + testErrorRetVA(self->normalization < 0.0, ce_negative, + "Negative normalization = %g", *err, __LINE__,, self->normalization); + + /* Without this test here, there are NaNs in Tsqr */ + testErrorRetVA(self->Omega_m < self->Omega_b, ce_omega, "Omega_m (%g) < Omega_b (%g)", *err, __LINE__,, + self->Omega_m, self->Omega_b); +} + +cosmo* copy_parameters_only(cosmo* source, error **err) +{ + cosmo* res; + + res = init_parameters(source->Omega_m,source->Omega_de, source->w0_de, source->w1_de, + source->w_poly_de, source->N_poly_de, + source->h_100, source->Omega_b, source->Omega_nu_mass, source->Neff_nu_mass, + source->normalization, source->n_spec, source->nonlinear, source->transfer, + source->growth, source->de_param, source->normmode, source->a_min, err); + forwardError(*err,__LINE__,NULL); + + return res; +} + +cosmo* copy_parameters(cosmo* source, error **err) +{ + cosmo* res; + + res = init_parameters(source->Omega_m, source->Omega_de, source->w0_de, source->w1_de, + source->w_poly_de, source->N_poly_de, source->h_100, + source->Omega_b, source->Omega_nu_mass, source->Neff_nu_mass, + source->normalization, source->n_spec, source->nonlinear,source->transfer, + source->growth, source->de_param, source->normmode, source->a_min, err); + + forwardError(*err,__LINE__,NULL); + res->N_a = source->N_a; + res->linearGrowth = copy_interTable(source->linearGrowth,err); + forwardError(*err,__LINE__,NULL); + res->transferFct = copy_interTable(source->transferFct,err); + forwardError(*err,__LINE__,NULL); + res->transferBE = copy_interTable(source->transferBE,err); + forwardError(*err,__LINE__,NULL); + res->P_NL = copy_interTable2D(source->P_NL,err); + forwardError(*err,__LINE__,NULL); + res->slope = copy_interTable(source->slope,err); + forwardError(*err,__LINE__,NULL); + res->w = copy_interTable(source->w,err); + forwardError(*err,__LINE__,NULL); + + //res->k_NL = copy_interTable(source->k_NL, err); + //forwardError(*err,__LINE__,NULL); + + // DEBUGGING THIS doesn't work with halomodel + //memcpy(res->ystar_allz, source->ystar_allz, fr_rs*fr_nsim); + + res->growth_delta0 = source->growth_delta0; + res->cmp_sigma8 = source->cmp_sigma8; + res->transfer_s = source->transfer_s; + res->transfer_alpha_Gamma = source->transfer_alpha_Gamma; + + return res; +} + +void read_cosmological_parameters(cosmo **self, FILE *F, error **err) +{ + cosmo *tmp; + struct { + char snonlinear[CSLENS], stransfer[CSLENS], sgrowth[CSLENS], sde_param[CSLENS]; + } strings; + config_element c = {0, 0.0, ""}; + int j; + char str[128]; + + tmp = set_cosmological_parameters_to_default(err); + forwardError(*err, __LINE__,); + + CONFIG_READ(tmp, Omega_m, d, F, c, err); + CONFIG_READ(tmp, Omega_de, d, F, c, err); + CONFIG_READ(tmp, w0_de, d, F, c, err); + CONFIG_READ(tmp, w1_de, d, F, c, err); + CONFIG_READ(tmp, h_100, d, F, c, err); + CONFIG_READ(tmp, Omega_b, d, F, c, err); + CONFIG_READ(tmp, Omega_nu_mass, d, F, c, err); + CONFIG_READ(tmp, Neff_nu_mass, d, F, c, err); + CONFIG_READ(tmp, normalization, d, F, c, err); + CONFIG_READ(tmp, n_spec, d, F, c, err); + + CONFIG_READ_S(&strings, snonlinear, s, F, c, err); + STRING2ENUM(tmp->nonlinear, strings.snonlinear, nonlinear_t, snonlinear_t, j, Nnonlinear_t, err); + + CONFIG_READ_S(&strings, stransfer, s, F, c, err); + STRING2ENUM(tmp->transfer, strings.stransfer, transfer_t, stransfer_t, j, Ntransfer_t, err); + + CONFIG_READ_S(&strings, sgrowth, s, F, c, err); + STRING2ENUM(tmp->growth, strings.sgrowth, growth_t, sgrowth_t, j, Ngrowth_t, err); + + CONFIG_READ_S(&strings, sde_param, s, F, c, err); + STRING2ENUM(tmp->de_param, strings.sde_param, de_param_t, sde_param_t, j, Nde_param_t, err); + + if (tmp->de_param == poly_DE) { + CONFIG_READ(tmp, N_poly_de, i, F, c, err); + tmp->w_poly_de = malloc_err(sizeof(double) * tmp->N_poly_de, err); + forwardError(*err, __LINE__,); + CONFIG_READ_ARR(tmp, w_poly_de, d, j, tmp->N_poly_de, str, F, c, err); + } + + CONFIG_READ(tmp, normmode, i, F, c, err); + + CONFIG_READ(tmp, a_min, d, F, c, err); + + *self = copy_parameters_only(tmp, err); + forwardError(*err, __LINE__,); +} + +cosmo *set_cosmological_parameters_to_default(error **err) +{ + /* Parameters are: + Om Od w0 w1 h Ob Onu Neffnu s8 ns + nonlin transfer growth deparam norm amin + */ + + cosmo *self; + + self = init_parameters(0.25, 0.75, -1.0, 0.0, NULL, 0, 0.70, 0.044, 0.0, 0.0, 0.80, 0.96, + smith03, eisenhu, growth_de, linder, norm_s8, 0.0, err); + forwardError(*err, __LINE__, NULL); + + return self; +} + +cosmo *set_cosmological_parameters_to_default2(error **err) +{ + /* Parameters are: + Om Od w0 w1 h Ob Onu Neffnu s8 ns + nonlin transfer growth deparam norm amin + */ + + cosmo *self; + + self = init_parameters(0.25, 0.75, -1.0, 0.0, NULL, 0, 0.7, 0.04307, 0.0, 0.0, 0.80, 0.96, + smith03, eisenhu, growth_de, linder, norm_s8, 1.0/1211.0, err); + forwardError(*err, __LINE__, NULL); + + return self; +} + +void free_parameters(cosmo** self) +{ + cosmo *s; + + s = *self; + + if (s->de_param == poly_DE) { + free(s->w_poly_de); + } + + del_interTable(&s->linearGrowth); + del_interTable(&s->transferFct); + del_interTable(&s->transferBE); + del_interTable2D(&s->P_NL); + del_interTable(&s->slope); + del_interTable(&s->w); + //del_interTable(&s->k_NL); + //if (&s->ystar_allz != NULL) free(&s->ystar_allz); + + free(s); + s = NULL; +} + +void updateParameters(cosmo* model, double OMEGAM, double OMEGADE, double W0_DE, double W1_DE, + double *W_POLY_DE, int N_POLY_DE, + double H100, double OMEGAB, double OMEGANUMASS, + double NEFFNUMASS, double NORM, double NSPEC, + nonlinear_t NONLINEAR, transfer_t TRANSFER, growth_t GROWTH, + de_param_t DEPARAM, norm_t normmode, double AMIN, error **err) +{ + cosmo* prev; + + prev = copy_parameters_only(model, err); + forwardError(*err,__LINE__,); + + model->Omega_m = OMEGAM; + model->Omega_de = OMEGADE; + model->w0_de = W0_DE; + model->w1_de = W1_DE; + set_w_poly_de(&model->w_poly_de, &model->N_poly_de, W_POLY_DE, N_POLY_DE, 0, err); + forwardError(*err, __LINE__,); + + model->h_100 = H100; + model->Omega_b = OMEGAB; + model->Omega_nu_mass = OMEGANUMASS; + model->Neff_nu_mass = NEFFNUMASS; + model->normalization = NORM; + model->n_spec = NSPEC; + + model->nonlinear = NONLINEAR; + model->transfer = TRANSFER; + model->growth = GROWTH; + model->de_param = DEPARAM; + model->normmode = normmode; + + if (AMIN>0.0) model->a_min = AMIN; + else model->a_min = a_minmin; + + updateFrom(prev, model, err); forwardError(*err,__LINE__,); + set_norm(model, err); forwardError(*err,__LINE__,); + + free_parameters(&prev); +} + +/* ============================================================ * + * Deletes pre-calculated tables in cosmo structure apres * + * if corresponding parameters are different compared to avant, * + * so tables will be re-calculated when needed. * + * To be used after parameters have been changed, e.g. with * + * updateParameters, or manually. * + * ============================================================ */ + +void updateFrom(cosmo* avant, cosmo* apres, error **err) +{ + consistency_parameters(apres, err); forwardError(*err, __LINE__,); + + if (change_D_plus(avant,apres)) { + del_interTable(&(apres->linearGrowth)); + apres->growth_delta0=-1; + } + if (change_Delta_L_BE2(avant,apres)) { + del_interTable(&(apres->transferBE)); + } + if (change_Tsqr(avant,apres)) { + del_interTable(&(apres->transferFct)); + apres->transfer_alpha_Gamma = -1; + apres->transfer_s = -1; + } + if (change_sigma_8_sqr(avant,apres)) { + apres->cmp_sigma8=-1; + } + if (change_P_NL(avant,apres)) { + del_interTable2D(&(apres->P_NL)); + del_interTable(&(apres->slope)); + + /* A bit of overkill; The coyote13 * + * power spectrum depends on * + * fewer parameters than the general P_NL */ + if (apres->ystar_allz != NULL) free(apres->ystar_allz); + } + if (change_w(avant,apres)) { + del_interTable(&(apres->w)); + } + if (change_norm(avant, apres)) { + set_norm(apres, err); + forwardError(*err,__LINE__,); + } +} + +// NEW function: P_L instead of P_L_nonorm +double int_for_sigma_R_norm(double logk, void *intpar, error **err) +{ + double res, k, x, R, tt; + cosmoANDdouble *extra; + cosmo *self; + + k = exp(logk); + extra = (cosmoANDdouble*)intpar; + self = extra->self; + R = extra->r; + x = W_tophat(k*R)/3.0; + + tt = P_L(self, 1.0, k, err); + forwardError(*err,__LINE__,0); + + res = k*dsqr(k)*tt*x*x; + return res; +} + +// NEW function +double sigma_8_sqr_norm(cosmo* self, error **err) +{ + double integral, cmp_sigma8; + cosmoANDdouble cANDd; + + cANDd.self = self; + cANDd.r = 8.0; /* [Mpc/h] */ + integral = sm2_qromberg(int_for_sigma_R_norm, (void*)&cANDd, log(k_min), log(k_max), 1.0e-6, err); + forwardError(*err,__LINE__,0); + cmp_sigma8 = 4.5/pi_sqr*integral; + + return cmp_sigma8; +} + + +int change_norm(cosmo* avant, cosmo* apres) { + if (NCOEQ(avant,apres,normmode) || NCOCLOSE(avant,apres,normalization)) + return 1; + if (change_D_plus(avant,apres) || change_sigma_8_sqr(avant,apres)) return 1; + return 0; +} + +/* Prefactor stemming from relation between curvature, potential, and density perturbations * + * using the Poisson equation. */ +double pref_pert_poiss(double Omega_m, double n_spec, double h_100, double k_pivot) +{ + double pref; + + pref = 4.0/25.0 / dsqr(Omega_m) * dsqr(dsqr(R_HUBBLE)) * 2 * dsqr(pi); + pref *= k_pivot * h_100; // ??? + pref /= pow(k_pivot, n_spec); + + return pref; +} + +void set_norm(cosmo* self, error **err) +{ + double k_pivot, s8, As; + + if (self->normmode==norm_s8) { + self->sigma_8 = self->normalization; + k_pivot = 0.05; // /self->h_100; + As = P_L(self, 1.0, k_pivot, err); forwardError(*err, __LINE__,); + As /= pref_pert_poiss(self->Omega_m, self->n_spec, self->h_100, k_pivot); + As /= P_L_nonorm(self, 1.0, k_pivot, err); forwardError(*err, __LINE__,); + self->As = As; + } else if (self->normmode==norm_as) { + self->As = self->normalization; + s8 = sigma_8_sqr_norm(self, err); forwardError(*err, __LINE__,); + self->sigma_8 = sqrt(s8); + } else { + *err = addError(ce_unknown, "unknown normmode", *err, __LINE__); + } +} + +void set_w_poly_de(double **w_target, int *N_target, const double *w_source, int N_source, int check, error **err) +{ + int i; + + if (check) { + testErrorRet(w_source==NULL, ce_de, "DE parameter array is NULL", *err, __LINE__,); + testErrorRetVA(N_source<=0, ce_de, "Number of DE parameters (%d) not positive", *err, __LINE__,, N_source); + } + + *w_target = malloc_err(sizeof(double) * N_source, err); + forwardError(*err, __LINE__,); + for (i=0; iOmega_m, self->Omega_de, self->w0_de, self->w1_de, self->h_100, self->Omega_b, + self->Omega_nu_mass, self->Neff_nu_mass, self->sigma_8, self->As, self->n_spec, + snonlinear_t(self->nonlinear), self->nonlinear, stransfer_t(self->transfer), self->transfer, + sgrowth_t(self->growth), self->growth, sde_param_t(self->de_param), self->de_param, + self->normmode, self->N_a); + + if (self->de_param == poly_DE) { + fprintf(F, "# Npde wpde_i\n"); + fprintf(F, " %d", self->N_poly_de); + for (i=0; iN_poly_de; i++) { + fprintf(F, " %.3f ", self->w_poly_de[i]); + } + fprintf(F, "\n"); + } +} + +void dump_param2(cosmo* self, FILE *F, char* pream) +{ + if (!F) F = stderr; + fprintf(F,"%s:: \n", pream); + dump_param(self, F); +} + + +/* ============================================================ * + * Cosmology. * + * ============================================================ */ + +/* CPT 9, no dark energy, no neutrinos */ +double da_dtau(cosmo* self,double a, error **err) +{ + double res, det; + + testErrorRet(aOmega_m+self->Omega_nu_mass)*(1.0/a - 1.0); + forwardError(*err,__LINE__,0); + det += self->Omega_de*(dsqr(a) - 1.0); + forwardError(*err,__LINE__,0); + res = sqrt(det); + return res; +} + +double da_dtau_m3(double a, void *intpar, error **err) +{ + double res; + if (a < EPSILON) return 0.0; + res = da_dtau((cosmo*) intpar,a,err); + forwardError(*err,__LINE__,0); + testErrorRet(res=1, ce_negative, "Omegadeinf (w1_de) outside [0;1]", + *err, __LINE__, 0.0); + + if (Omegadeinfw0_de; + + switch (self->de_param) { + case jassal : + if (fabs(self->w1_de)>EPSILON) res += self->w1_de*a*(1.0-a); + break; + + case linder : + if (fabs(self->w1_de)>EPSILON) res += self->w1_de*(1.0-a); + break; + + case earlyDE : + /* TODO: neutrinos? */ + b = b_early(self->w0_de, self->Omega_m, self->w1_de, err); + forwardError(*err, __LINE__, 0.0); + testErrorRet(fabs(1.0-b*log(a))w0_de/dsqr(1.0-b*log(a)); + break; + + case poly_DE : + for (i=0,res=0.0,b=1.0; iN_poly_de; i++) { + res += self->w_poly_de[i] * b; + b *= a; /* b = a^i */ + } + break; + + default : + *err = addError(ce_unknown, "Unknown de_param value", *err, __LINE__); + return 0; + break; + + } + + return res; +} + +/* Per05 (4) */ +double f_de(cosmo* self, double a, error **err) +{ + double res, b; + int i; + + switch (self->de_param) { + + case jassal : + res = -3.0*(1.0 + self->w0_de); + if (fabs(self->w1_de)>EPSILON) + res += 3.0*self->w1_de/(2.0*log(a))*(1.0-a)*(1.0-a); + break; + + case linder : + res = -3.0*(1.0 + self->w0_de); + if (fabs(self->w1_de)>EPSILON) + res += 3.0*self->w1_de*((a-1.0)/log(a) - 1.0); + break; + + case earlyDE : + /* TODO: neutrinos? */ + b = b_early(self->w0_de, self->Omega_m, self->w1_de, err); + forwardError(*err, __LINE__, 0.0); + testErrorRet(fabs(1.0+b*log(a))w0_de/(1.0-b*log(a))); + break; + + case poly_DE : + res = -3.0 * (1.0 + self->w_poly_de[0]); + for (i=1; iN_poly_de; i++) { + res += -3.0 / log(a) * self->w_poly_de[i] * (pow(a, i) - 1.0) / (double)i; + } + break; + + default : + *err = addErrorVA(ce_unknown, "Unknown de_param value %d", *err, __LINE__, self->de_param); + return 0.0; + + } + + return res; +} + +int change_Esqr(cosmo *avant, cosmo *apres) +{ + if (NCOEQ(avant, apres, Omega_m) || NCOEQ(avant, apres, Omega_de) || NCOEQ(avant, apres, h_100) || + NCOEQ(avant, apres, Omega_nu_mass)) return 1; + if (change_w_de(avant, apres)) return 1; + return 0; +} + +/* ============================================================ * + * Returns E^2(a) = [H(a)/H_0]^2, see Percival (2005). * + * If wOmegar=1, Omega_radiation>0 is included (photons + * + * neutrinos), needed for high-z quantities such as the sound * + * horizon at the drag epoch. Note: For low redshift, wOmega=0 * + * should be used, otherwise the nonlinear power-spectrum * + * fitting formulae might not work. * + * ============================================================ */ + +double Esqr(cosmo* self, double a, int wOmegar, error **err) +{ + double asqr, EE, Omega_r; + + asqr = a*a; + + if (wOmegar==1) { + /* For early-Universe calculations like r_sound(z_*) */ + Omega_r = omega_gamma/self->h_100/self->h_100*(1.0 + 0.2271*NEFF); + } else { + /* Omega_r produces too much power for PD96 !!?!! */ + Omega_r = 0.0; + } + + + EE = self->Omega_m/(asqr*a) + + (1.0 - self->Omega_m - self->Omega_de - self->Omega_nu_mass - Omega_r)/asqr + + self->Omega_de*pow(a, f_de(self, a, err)) + + Omega_r/(asqr*asqr); + forwardError(*err,__LINE__,0.0); + + if (self->Omega_nu_mass>EPSILON) EE += self->Omega_nu_mass/pow(a, 3.0*(1+w_nu_mass(self, a))); + + testErrorRetVA(EE<0, ce_negative, "E^2 = (H/H_0)^2 is negative for a=%g", *err, __LINE__, 0.0, a); + testErrorRetVA(!isfinite(EE), ce_infnan, "E^2 not finite for a=%g", *err, __LINE__, 0.0, a); + + return EE; +} + +/* Per05 (6) */ +double Omega_m_a(cosmo* self, double a, double Esqrpre, error **err) +{ + double EE; + if (Esqrpre>0) EE = Esqrpre; + else { + EE = Esqr(self, a, 0, err); + forwardError(*err,__LINE__,0); + } + return self->Omega_m/(a*a*a)/EE; +} + +/* Per05 (6) */ +double Omega_de_a(cosmo* self,double a, double Esqrpre, error **err) +{ + double EE,res; + + if (Esqrpre>0) EE = Esqrpre; + else { + EE = Esqr(self, a, 0, err); + forwardError(*err, __LINE__, 0); + } + res = self->Omega_de*pow(a, f_de(self, a, err))/EE; + forwardError(*err,__LINE__,0); + + return res; +} + +double w_nu_mass(cosmo *self, double a) +{ + double m_nu, w, m0, alf, bet; + + m_nu = 93.0*dsqr(self->h_100)*self->Omega_nu_mass/3.0; + + m0 = 0.000585; + alf = 1.652; + bet = 0.561; + w = pow(1.0+pow(m_nu/m0*a, alf), -bet)/3.0; + + /* 1/3 ok for m_nu <= 0.05 eV */ + //return (1+0.618232*pow(m_nu*a,0.753005))/(1+9.58117*pow(m_nu*a,1.34954)); + return w; +} + +void D_plus_derivs(double a, double *y, double *yp, void* extra, error **err) +{ + double q, r, om, ode, EE; + cosmo* self; + + self = (cosmo*) extra; + testErrorRet(a==0.0, ce_underflow, + "The scale factor a has to be larger than zero. Check a_min (struct cosmo)", + *err, __LINE__,); + + EE = Esqr(self, a, 0, err); forwardError(*err,__LINE__,); + om = Omega_m_a(self, a, EE, err); forwardError(*err,__LINE__,); + ode = Omega_de_a(self, a, EE, err); forwardError(*err,__LINE__,); + /* TODO: neutrinos */ + + q = (2.0 - 0.5*(om + (1.0+3.0*w_de(self,a,err))*ode))/a; + forwardError(*err,__LINE__,); + r = 1.5*om/a/a; + + yp[1] = y[2]; + yp[2] = -q*y[2] + r*y[1]; +} + +int change_D_plus(cosmo* avant, cosmo* apres) +{ + if (NCOEQ(avant,apres,growth) || NCOEQ(avant,apres,N_a)) + return 1; + switch (avant->growth) { + case heath : + if (NCOCLOSE(avant,apres,Omega_m) || NCOCLOSE(avant,apres,Omega_de) || + NCOCLOSE(avant,apres,a_min)) return 1; + case growth_de : + /* TODO: Neff_nu?? */ + if (change_w(avant,apres)) return 1; + } + return 0; +} + +#define nvar 2 +#define eps 1.0e-8 +double D_plus(cosmo* self, double a, int normalised, error **err) +{ + + double delta, aa, res; + int i; + double *table; + double ystart[nvar+1], a1, a2, h1, hmin, a1min; + int nok, nbad; + double da; + interTable *linearGrowth; + + if (self->linearGrowth == NULL) { + da = (1.0 - self->a_min)/(self->N_a-1.0); + linearGrowth = init_interTable(self->N_a,self->a_min,1.,da,0.0,0.0,err); + forwardError(*err,__LINE__,0); + table=linearGrowth->table; + switch (self->growth) { + + case heath : + self->growth_delta0 = 2.5*self->Omega_m + *sm2_qromberg(da_dtau_m3, (void*)self, 0.0, 1.0, 1.0e-6, err); + forwardError(*err,__LINE__,0); + for (i=0,aa=self->a_min; iN_a; i++, aa+=da) { + delta = 2.5*self->Omega_m + *sm2_qromberg(da_dtau_m3, (void*)self, 0.0, aa, 1.0e-6, err); + forwardError(*err,__LINE__,0); + table[i] = da_dtau(self,aa,err)/aa*delta; + forwardError(*err,__LINE__,0); + } + break; + + case growth_de : + a1min = 0.0001; + if (self->de_param!=earlyDE) { + ystart[1] = 5.0/3.0*a1min; /* D (EdS) */ + } else { + ystart[1] = 5.0/3.0*pow(a1min, 1.0-3.0*Omega_de_a(self, a1min, -1, err)/5.0); + forwardError(*err, __LINE__, 0.0); + } + ystart[2] = 0.0; /* D'(EdS) */ + h1 = 0.0001; + hmin = 0.0; + + rkdrive_var_t bsvar; + init_rkdrive_var(&bsvar); + odeint(ystart, nvar, a1min, self->a_min, eps, h1, (void*) self, hmin, &nok, &nbad, + D_plus_derivs, bsstep, &bsvar, err); + forwardError(*err,__LINE__,0); + + table[0] = ystart[1]; + + for (i=1,a1=self->a_min,a2=a1+da; iN_a; i++,a1+=da,a2+=da) { + odeint(ystart, nvar, a1, a2, eps, h1, (void*) self, hmin, &nok, &nbad, + D_plus_derivs, bsstep, &bsvar, err); + forwardError(*err,__LINE__,0); + table[i] = ystart[1]; + } + self->growth_delta0 = table[self->N_a-1]; + break; + + default : + *err = addError(ce_unknown,"Unknown growth",*err,__LINE__); + return 0; + break; + } + self->linearGrowth = linearGrowth; + } + + res = interpol_wr(self->linearGrowth, a, err); + forwardError(*err,__LINE__,0); + + if (normalised==1) return res/self->growth_delta0; + else return res; +} +#undef nvar +#undef eps + +/* PD 96 - (15,16) */ +void Omega_a(cosmo* self, double a, double *omega_m, double *omega_v) +{ + double f, a3; + a3 = a*a*a; + f = a + self->Omega_m*(1.-a) + self->Omega_de*(a3-a); + *omega_m = self->Omega_m/f; + *omega_v = self->Omega_de*a3/f; +} + +/* CPT 29, PD 15+16, actually: Lahav 1991, Lightman&Schechter 1990 */ +double g(cosmo* self, double a) +{ + double omega_m, omega_v; + Omega_a(self,a, &omega_m, &omega_v); + + return 2.5*omega_m/(pow(omega_m,4.0/7.0) - omega_v + + (1.0 + 0.5*omega_m)*(1.0 + omega_v/70.0)); +} + + +/* ============================================================ * + * Transfer function. k in h/Mpc. * + * ============================================================ */ +int change_Tsqr(cosmo* avant, cosmo* apres) +{ + if (NCOEQ(avant,apres,transfer)) + return 1; + switch (apres->transfer) { + case bbks : case eisenhu : case eisenhu_osc : case be84 : + if (NCOCLOSE(avant,apres,Omega_m) || NCOCLOSE(avant,apres,h_100) || NCOCLOSE(avant,apres,Omega_b) + || NCOCLOSE(avant,apres,n_spec) || NCOCLOSE(avant,apres,Omega_nu_mass) || NCOCLOSE(avant,apres,Neff_nu_mass)) + return 1; + default : + return 0; + /* TODO: neutrinos, T_nu from BBKS */ + return 0; + } + return 0; +} + +/* EH98 (19). [k] = Mpc/h */ +double T_tilde(const cosmo *self, double k, double alpha_c, double beta_c) +{ + double q, T0, L, C; + + /* EH98 (10); [q] = [k] = h/Mpc */ + q = k * dsqr(T_CMB/2.7) / (self->Omega_m * self->h_100); + L = log(M_E + 1.8 * beta_c * q); + C = 14.2 / alpha_c + 386.0 / (1.0 + 69.9 * pow(q, 1.08)); + T0 = L/(L + C*q*q); + + return T0; +} + +/* ============================================================ * + * Returns sqaure of transfer function times k^n, [k] = h/Mpc. * + * ============================================================ */ +double Tsqr_one(cosmo *self, double k, double Gamma_eff, error **err) +{ + double f1, f2, q, res, L, C; + double Tc, Tb, f, a1, a2, om, fb, fc,b1, b2, alpha_c, beta_c, T_2_7_sqr, z_eq, z_d, + beta_node, beta_b, alpha_b, tilde_s, R_d, k_eq, s; + + switch (self->transfer) { + + case bbks : + + q = k/Gamma_eff; + f1 = log(1 + 2.34*q)/(2.34*q); + f2 = 1 + q*(3.89 + q*(259.21 + q*(162.771336 + q*2027.16958081))); + res = dsqr(f1)/sqrt(f2)*pow(k, self->n_spec); + break; + + case eisenhu : + + /* [q] = [kk] = h/Mpc. EH98 (28) */ + q = k * dsqr(T_CMB/2.7)/Gamma_eff; + + /* W.Hu's problem set 4 */ + /* L = log(2.71828 + 1.84*q*alpha_Gamma); */ + /* C = 14.4 + 325./(1. + 60.5*pow(q, 1.11)); */ + + /* EH98 (29) */ + L = log(2.*2.71828 + 1.8*q); + C = 14.2 + 731.0/(1.0 + 62.5*q); + + res = dsqr(L/(L + C*q*q))*pow(k, self->n_spec); + break; + + case eisenhu_osc : + + om = self->Omega_m * self->h_100 * self->h_100; + fb = self->Omega_b / self->Omega_m; + fc = (self->Omega_m - self->Omega_b) / self->Omega_m; + + if (self->transfer_s<0) { + self->transfer_s = r_sound_drag_analytical(self, err); + forwardError(*err, __LINE__, 0.0); + } + s = self->transfer_s; + + /* Cold dark matter transfer function */ + + /* EH98 (11, 12) */ + a1 = pow(46.9*om, 0.670) * (1.0 + pow(32.1*om, -0.532)); + a2 = pow(12.0*om, 0.424) * (1.0 + pow(45.0*om, -0.582)); + alpha_c = pow(a1, -fb) * pow(a2, -DCUB(fb)); + b1 = 0.944 / (1.0 + pow(458.0*om, -0.708)); + b2 = pow(0.395*om, -0.0266); + beta_c = 1.0 + b1*(pow(fc, b2) - 1.0); + beta_c = 1.0 / beta_c; + + /* EH98 (17, 18) */ + f = 1.0 / (1.0 + dsqr(dsqr(k * s / 5.4))); + Tc = f * T_tilde(self, k, 1, beta_c) + (1.0 - f) * T_tilde(self, k, alpha_c, beta_c); + + /* Baryon transfer function */ + + /* EH98 (14, 21) */ + z_d = z_drag(self); + R_d = ratio_b_gamma(self, 1.0 / (z_d + 1.0)); + T_2_7_sqr = dsqr(T_CMB/2.7); + k_eq = 7.46e-2 * om / T_2_7_sqr / self->h_100; /* [h/Mpc] */ + z_eq = 2.50e4 * om / T_2_7_sqr / T_2_7_sqr; + alpha_b = 2.07 * k_eq * s * pow(1.0 + R_d, -0.75) + * G_EH98((1.0 + z_eq) / (1.0 + z_d)); + + beta_node = 8.41 * pow(om, 0.435); + tilde_s = s / pow(1.0 + DCUB(beta_node / (k * s)), 1.0/3.0); + beta_b = 0.5 + fb + (3.0 - 2.0 * fb) * sqrt(dsqr(17.2 * om) + 1.0); + /* [tilde_s] = Mpc/h */ + + Tb = (T_tilde(self, k, 1.0, 1.0) / (1.0 + dsqr(k * s / 5.2)) + + alpha_b / (1.0 + DCUB(beta_b/(k * s))) * exp(-pow(k / k_silk(self), 1.4)) ) + * sinc(k*tilde_s); + + /* Total transfer function */ + res = dsqr(fb * Tb + fc * Tc) * pow(k, self->n_spec); + break; + + //case be84 : + //Delta_L = Delta_L_BE2(self, k, err); forwardError(*err, __LINE__, 0.0); + //break; + + default : + *err = addError(ce_unknown, "Unknown transfer function", *err, __LINE__); + return 0; + } + + return res; +} + +double Gamma_Sugiyama(cosmo *self) +{ + double Gamma; + Gamma = self->h_100*self->Omega_m*exp(-self->Omega_b - sqrt(self->h_100/0.5)*self->Omega_b/self->Omega_m); + return Gamma; +} + +double int_for_r_sound(double a, void *intpar, error **err) +{ + cosmo *self; + double E, res, h2, R; + + if (a==0) return 0.0; + + self = (cosmo*)intpar; + E = sqrt(Esqr(self, a, 1, err)); + forwardError(*err, __LINE__, -1.0); + + h2 = self->h_100*self->h_100; + R = a*0.75*self->Omega_b/(omega_gamma/h2); + res = a*a*E*sqrt(1.0 + R); + + if (res<=0) return 0.0; + + return 1.0/res; + +} + +/* Comoving sound horizon [Mpc/h], K08 */ +double r_sound_integral(cosmo *self, double a, error **err) +{ + double rs; + + rs = sm2_qromberg(int_for_r_sound, (void*)self, 0.0, a, 1.0e-7, err); + forwardError(*err, __LINE__, -1.0); + + return rs*R_HUBBLE/sqrt(3.0); +} + +/* Eisenstein & Hu (1998), eq. 26. Sound horizon at drag epoch, [Mpc/h] */ +double r_sound_drag_fit(cosmo *model, error **err) +{ + double om, ob, h2, r_s; + + h2 = model->h_100 * model->h_100; + om = model->Omega_m*h2; + ob = model->Omega_b*h2; + + testErrorRetVA(ob < 0.0125, ce_range, "Omega_b h^2 = %g has to be larger than %g (see Eisenstein & Hu 1998, eq. (26)", + *err, __LINE__, 0.0, ob, 0.0125); + testErrorRetVA(om < 0.025, ce_range, "Omega_m h^2 = %g has to be larger than %g (see Eisenstein & Hu 1998, eq. (26)", + *err, __LINE__, 0.0, om, 0.025); + testErrorRetVA(om > 0.5, ce_range, "Omega_m h^2 = %g has to be larger than %g (see Eisenstein & Hu 1998, eq. (26)", + *err, __LINE__, 0.0, om, 0.5); + + r_s = 44.5*log(9.83/om) / sqrt(1.0 + 10.0*pow(ob, 0.75)); + + return r_s * model->h_100; +} + +/* Eisenstein & Hu (1998) eq. (6). Sound horizon at drag epoch, [Mpc/h] */ +double r_sound_drag_analytical(cosmo *self, error **err) +{ + double R_d, R_eq, k_eq, z_eq, z_d, omega_m, T_2_7_sqr, s; + + T_2_7_sqr = dsqr(T_CMB/2.7); + omega_m = self->Omega_m*self->h_100*self->h_100; + k_eq = 7.46e-2*omega_m/T_2_7_sqr; /* [1/Mpc] */ + z_eq = 2.50e4*omega_m/T_2_7_sqr/T_2_7_sqr; + + z_d = z_drag(self); + R_d = ratio_b_gamma(self, 1.0/(z_d+1.0)); + R_eq = ratio_b_gamma(self, 1.0/(z_eq+1.0)); + + testErrorRetVA(R_eqOmega_b); + + s = 2.0/(3.0*k_eq) * sqrt(6.0/R_eq) * log( (sqrt(1.0+R_d) + sqrt(R_eq+R_d))/(1.0 + sqrt(R_eq)) ); + + return s * self->h_100; +} + +/* Silk damping scale, in h/Mpc, fit from EH98 (7) */ +double k_silk(const cosmo *model) +{ + double om, ob, k_s; + + om = model->Omega_m * model->h_100 * model->h_100; + ob = model->Omega_b * model->h_100 * model->h_100; + k_s = 1.6 * pow(ob, 0.52) * pow(om, 0.73) * (1.0 + pow(10.4*om, -0.95)); + + return k_s / model->h_100; +} + +/* Eisenstein & Hu (1998). Baryon-to-photon ratio */ +double ratio_b_gamma(cosmo *self, double a) +{ + double R, z, T_2_7_sqr, h2; + + h2 = self->h_100*self->h_100; + R = a*0.75*self->Omega_b/(omega_gamma/h2); + return R; + + + T_2_7_sqr = dsqr(T_CMB/2.7); + R = 31.5*self->Omega_b*h2; + R /= T_2_7_sqr/T_2_7_sqr; + + z = 1.0/a - 1.0; + R /= z/1000.0; + + return R; +} + +/* Drag epoch, Eisenstein & Hu (1998) */ +double z_drag(cosmo *self) +{ + double zd, om, ob, h2, b1, b2, fnu; + + h2 = self->h_100*self->h_100; + ob = self->Omega_b*h2; + + /* Neutrino fraction, e.g. cosmomc:bao.f90. Neutrinos are relativistic at the drag epoch. * + * In Percival (2007,2009), fnu=0 is used. */ + //fnu = (21.0/8.0)*pow(4.0/11.0, 4.0/3.0); + fnu = 0.0; + + om = self->Omega_m*h2 - fnu * (self->Omega_m - self->Omega_b)*h2; + + b1 = 0.313*pow(om, -0.419)*(1.0 + 0.607*pow(om, 0.674)); + b2 = 0.238*pow(om, 0.223); + zd = 1291.0*pow(om, 0.251)/(1.0 + 0.659*pow(om, 0.828)) + *(1.0 + b1*pow(ob, b2)); + + return zd; +} + +/* Eisenstein & Hu (1998) eq. (15) */ +double G_EH98(double y) +{ + double G, x; + + x = sqrt(1.0 + y); + G = y * (-6.0 * x + (2.0 + 3.0*y) * log((x + 1.0) / (x - 1.0))); + + return G; +} + +/* ============================================================ * + * Returns T^2(k) * k^n, [k] = h/Mpc. * + * ============================================================ */ +#define Nk 500 +double Tsqr(cosmo* self, double k, error **err) +{ + + double dlogk, logkmin, logkmax; + double *table; + interTable *transferFct; + double kk, f1, Gamma_eff, omhh, f_b; + int i; + + if (self->transferFct==NULL) { + + logkmin = log(k_min); + logkmax = log(k_max); + dlogk = (logkmax-logkmin)/(Nk-1.0); + transferFct = init_interTable(Nk,logkmin,logkmax,dlogk,self->n_spec,self->n_spec-4.,err); + forwardError(*err,__LINE__,0); + table = transferFct->table; + + testErrorRet(self->h_100<0.0 || self->Omega_m<0.0 || self->Omega_nu_mass<0.0 || self->Omega_b<0.0, + ce_negative, + "h_100 or density parameter negative", *err, __LINE__, 0.0); + + if (self->transfer==eisenhu || self->transfer==eisenhu_osc) { + /* Sound horizon in Mpc/h, EH98 (26) */ + if (self->transfer_s<0) { + self->transfer_s = r_sound_drag_analytical(self, err); + forwardError(*err, __LINE__, 0.0); + } + } + + switch (self->transfer) { + case bbks: + /* TODO: neutrinos */ + Gamma_eff = Gamma_Sugiyama(self); + for (i=0,kk=k_min; iOmega_m*self->h_100*self->h_100; + f_b = self->Omega_b/self->Omega_m; + + /* EH98 (31) */ + if (self->transfer_alpha_Gamma<0) + self->transfer_alpha_Gamma = 1 - 0.328*log(431*omhh)*f_b + + 0.38*log(22.3*omhh)*f_b*f_b; + + for (i=0,kk=k_min; iOmega_m*self->h_100*(self->transfer_alpha_Gamma + + (1.0-self->transfer_alpha_Gamma)/(1.0+dsqr(dsqr(0.43*kk*self->transfer_s)))); + table[i] = log(Tsqr_one(self, kk, Gamma_eff, err)); + forwardError(*err, __LINE__, 0); + + } + break; + + case eisenhu_osc : + + for (i=0,kk=k_min; itransfer); + return 0; + } + + self->transferFct = transferFct; + + } + + if (k>k_max) { + + /* k out of range: calculate transfer function 'by hand' */ + switch (self->transfer) { + case bbks : + Gamma_eff = Gamma_Sugiyama(self); + f1 = Tsqr_one(self, k, Gamma_eff, err); + forwardError(*err,__LINE__,0); + break; + case eisenhu : + testErrorRet(self->transfer_alpha_Gamma<0 || self->transfer_s<0, + ce_negative, "Transfer function variables not initialised", *err, __LINE__, 0.0); + Gamma_eff = self->Omega_m*self->h_100*(self->transfer_alpha_Gamma + + (1.0-self->transfer_alpha_Gamma)/(1.0+dsqr(dsqr(0.43*k*self->transfer_s)))); + f1 = Tsqr_one(self, k, Gamma_eff, err); + forwardError(*err,__LINE__,0); + break; + case eisenhu_osc : + testErrorRet(self->transfer_s<0, ce_negative, "Transfer function variable not initialised", *err, __LINE__, 0.0); + f1 = Tsqr_one(self, k, -1.0, err); + break; + default : + *err = addErrorVA(ce_unknown, "Unknown transfer type %d", *err, __LINE__, self->transfer); + return 0; + } + + } else { + + /* Interpolate transfer function */ + f1 = interpol_wr(self->transferFct, log(k), err); + forwardError(*err,__LINE__,0); + f1 = exp(f1); + + } + + return f1; +} +#undef Nk + +/* ============================================================ * + * dfridr.c * + * NR page 188. Returns derivate of func at x, initial step is * + * h. Error estimate in err. * + * Modified! func depends on two double! (like P_L) * + * ============================================================ */ + +#define CON 1.4 +#define CON2 (CON*CON) +#define BIG 1.0e30 +#define NTAB 10 +#define SAFE 2.0 +double sm2_dfridr(double (*func)(cosmo*,double,double,error **), double x, double h, + double *errn, double aa, cosmo* self, error **err) +{ + int i,j; + double errt,fac,hh,**a,ans; + + ans = 1e30; /* dummy initialization */ + testErrorRet(h==0.0, ce_wrongValue, "h has to be larger than zero", *err, __LINE__, 0.0); + a=sm2_matrix(1,NTAB,1,NTAB,err); + forwardError(*err,__LINE__,0); + + hh=h; + a[1][1]=(*func)(self,aa,x+hh,err); + forwardError(*err,__LINE__,0); + a[1][1]=(a[1][1]-(*func)(self,aa,x-hh,err))/(2.0*hh); + forwardError(*err,__LINE__,0); + + *errn=BIG; + for (i=2;i<=NTAB;i++) { + hh /= CON; + a[1][i]=(*func)(self,aa,x+hh,err); + forwardError(*err,__LINE__,0); + a[1][i]=(a[1][i]-(*func)(self,aa,x-hh,err))/(2.0*hh); + forwardError(*err,__LINE__,0); + fac=CON2; + for (j=2;j<=i;j++) { + a[j][i]=(a[j-1][i]*fac-a[j-1][i-1])/(fac-1.0); + fac=CON2*fac; + errt=fmax(fabs(a[j][i]-a[j-1][i]),fabs(a[j][i]-a[j-1][i-1])); + if (errt <= *errn) { + *errn=errt; + ans=a[j][i]; + } + } + if (fabs(a[i][i]-a[i-1][i-1]) >= SAFE*(*errn)) break; + } + sm2_free_matrix(a,1,NTAB,1,NTAB); + return ans; +} +#undef CON +#undef CON2 +#undef BIG +#undef NTAB +#undef SAFE + +double W_tophat(double x) +{ + if (xself; + R = extra->r; + x = W_tophat(k*R)/3.0; + + tt = P_L_nonorm(self, 1.0, k, err); + forwardError(*err,__LINE__,0); + //tt /= dsqr(self->sigma_8); /* Undo sigma_8 from P_L_nonorm */ + + res = k*dsqr(k)*tt*x*x; + return res; +} + +int change_sigma_8_sqr(cosmo* avant, cosmo* apres) +{ + return change_Tsqr(avant,apres); +} + +/* PD2 42, for a=1, so D_+=1. Normalization of the power spectrum */ +double sigma_8_sqr(cosmo* self, error **err) +{ + double integral; + cosmoANDdouble cANDd; + + if (self->cmp_sigma8<0) { + cANDd.self = self; + cANDd.r = 8.0; /* [Mpc/h] */ + integral = sm2_qromberg(int_for_sigma_R, (void*)&cANDd, log(k_min), log(k_max), 1.0e-6, err); + forwardError(*err,__LINE__,0); + /* The prefactor is 9/(2*pi*pi). The '9' is from the top-hat window (the '3' from W_tophat is * + * divided out again in int_for_sigma_8. The '2pi^2' is 4pi/(2pi)^3 */ + self->cmp_sigma8 = 4.5/pi_sqr*integral; + } + if (self->cmp_sigma8<0) { + *err = addError(ce_negative,"sigma8 can't be negative",*err,__LINE__); + return 0; + } + + return self->cmp_sigma8; +} + + + + +/* ============================================================ * + * Returns the linear power spectrum. * + * ============================================================ */ +double P_L(cosmo* self, double a, double k, error **err) +{ + double pl, s, k_pivot; + + pl = P_L_nonorm(self, a, k, err); /* set it to D^2(a) T^2(k) k^{n_s} */ + forwardError(*err,__LINE__,0.0); + + if (self->normmode == norm_s8) { + + s = sigma_8_sqr(self, err); + forwardError(*err,__LINE__,0.0); + // NEW (05/2016): sigma_8 moved here from P_L_nonorm + return pl / s * dsqr(self->sigma_8); + + } else { + + k_pivot = 0.05; // /self->h_100; /* 0.05 Mpc^{-1} = 0.05/h h Mpc^{-1} */ + + /* See background.uchicago.edu/~whu/Presentations/trieste_print2.pdf p. 36 */ + pl *= self->As; + pl *= pref_pert_poiss(self->Omega_m, self->n_spec, self->h_100, k_pivot); + return pl; + } +} + +/* ============================================================ * + * New (05/2016): Returns D+^2(a) * k^n * T^2(k). * + * No longer multiplied with sigma_8^2. * + * The normalised linear power spectrum is obtained by dividing * + * by int dk k P_L_nonorm(k) FT[W_tophat](k 8 Mpc/h). * + * ============================================================ */ +double P_L_nonorm(cosmo* self, double a, double k, error **err) +{ + double d, tt; + + if (k<0) { + *err = addError(ce_negative,"k Negative !",*err,__LINE__); + return 0; + } + + switch (self->transfer) { + case bbks : case eisenhu : case eisenhu_osc : + d = D_plus(self, a, 1, err); forwardError(*err,__LINE__,0); + tt = Tsqr(self, k, err); forwardError(*err,__LINE__,0); + break; + default : + *err = addError(ce_transfer, "Wrong transfer type", *err, __LINE__); + return 0; + } + + //return dsqr(self->sigma_8 * d) * tt; + return dsqr(d) * tt; +} + +/* PD 22 */ +double n_L(cosmo* self, double a, double k, error **err) +{ + double diff, hh, errn, n; + + hh = k/20.0; + diff = sm2_dfridr(P_L, 0.5*k, hh, &errn, a, self, err); + forwardError(*err,__LINE__,0); + n = 0.5*k/P_L(self,a, 0.5*k, err)*diff; + forwardError(*err,__LINE__,0); + return n; +} + +/* PD 21, 23-27 */ +double f_NL(cosmo* self, double x, double a, double k, error **err) +{ + double A, B, alpha, beta, V; + double c, gg, f0, f1, f2, f3, f4; + + c = 1.0 + n_L(self,a,k,err)/3.0; + forwardError(*err,__LINE__,0); + testErrorRet(c<0, ce_negative, "Spectral index n_spec too small for PD fitting formula", + *err, __LINE__, 0); + + A = 0.482/pow(c, 0.947); + B = 0.226/pow(c, 1.778); + alpha = 3.31/pow(c, 0.244); + beta = 0.862/pow(c, 0.287); + V = 11.55/pow(c, 0.423); + + switch (self->transfer) { + case bbks : case eisenhu : case eisenhu_osc : + gg = D_plus(self, a, 0, err)/a; + forwardError(*err,__LINE__,0); + break; + default : + *err = addError(ce_transfer, "Wrong transfer type", *err, __LINE__); + return 0; + } + + f0 = pow(A*x, alpha); + f1 = 1.0 + B*beta*x + pow(f0, beta); + f2 = f0*gg*gg*gg/(V*sqrt(x)); + f3 = 1.0 + pow(f2, beta); + f4 = x*pow(f1/f3, 1.0/beta); + + if (!isfinite(f4)) { + *err = addError(ce_infnan, "inf or nan encountered", *err, __LINE__); + return 0; + } + return f4; +} + +/* Returns present-day dimensionless power spectrum k^3/(2pi^2) P(k, a=1) */ +double sm2_transfer(cosmo* self, double k, error **err) +{ + double tt; + + tt = P_L(self, 1.0, k, err); forwardError(*err, __LINE__, 0.0); + tt *= k * k * k / (2 * pi_sqr); + + return tt; +} + +/* ============================================================ * + * Bond&Efstathiou 1984 approximation to Delta_L * + * ============================================================ */ + +#define N_kk 500 +/* in units of H_0/c */ +#define kmin 1.0e-5 +#define kmax 6000.0 +int change_Delta_L_BE2(cosmo* avant, cosmo* apres) +{ + if (NCOCLOSE(avant,apres,Omega_m) || NCOCLOSE(avant,apres,h_100) || NCOCLOSE(avant,apres,Omega_b) + || NCOCLOSE(avant,apres,n_spec) || NCOCLOSE(avant,apres,normalization) + || NCOCLOSE(avant,apres,normalization)) + return 1; + return 0; +} + +double Delta_L_BE2(cosmo* self, double k, error **err) +{ + double keff, q8=0.0, logkmin, logkmax, dlogk, tk8=0.0, Gamma=0.0; + double q, tk; + double klog, kk, res; + int j; + double* table; interTable *transferBE; + + if (self->transferBE==NULL) { + Gamma = Gamma_Sugiyama(self); + keff = 0.172 + 0.011*dsqr(log(Gamma/0.36)); + q8 = 1.0e-20 + keff/Gamma; + tk8 = 1.0/pow(1+pow(6.4*q8+pow(3.0*q8,1.5)+dsqr(1.7*q8),1.13),1.0/1.13); + logkmin = log(kmin); + logkmax = log(kmax); + dlogk = (logkmax - logkmin)/(N_kk-1.); + transferBE = init_interTable(N_kk, logkmin, logkmax, dlogk, 0.0, 0.0,err); + forwardError(*err,__LINE__,0); + + table = transferBE->table; + for (j=0,klog=logkmin; jn_spec)*log(q/q8) + 2*log(self->sigma_8*tk/tk8); + } + self->transferBE = transferBE; + } + + kk = log(k); + if (kktransferBE->a || kk>self->transferBE->b) { + q = 1e-20 + k/Gamma; + tk = 1/pow(1+pow(6.4*q+pow(3.0*q,1.5)+dsqr(1.7*q),1.13),1/1.13); + res = self->sigma_8*self->sigma_8*pow(q/q8,3+self->n_spec)*tk*tk/tk8/tk8; + } else { + res = exp(interpol_wr(self->transferBE, kk,err)); + forwardError(*err,__LINE__,0); + } + return res; +} +#undef N_kk +#undef kmin +#undef kmax + +/* ============================================================ * + * Calculates k_NL, n_eff, n_cur. * + * ============================================================ */ +double int_for_wint2_knl(double logk, void *intpar, error **err) +{ + double krsqr, k, r; + cosmoAND2double* extra; + + extra = (cosmoAND2double*)intpar; + r = extra->r; + k = exp(logk); + krsqr = dsqr(k*r); + r = sm2_transfer(extra->self, k, err) * exp(-krsqr); + forwardError(*err,__LINE__,0); + + return r; +} + +double int_for_wint2_neff(double logk, void *intpar, error **err) +{ + double krsqr, k, r; + cosmoAND2double* extra; + + extra = (cosmoAND2double*) intpar; + r = extra->r; + k = exp(logk); + krsqr = dsqr(k*r); + r = sm2_transfer(extra->self, k, err) * 2.0 * krsqr * exp(-krsqr); + forwardError(*err,__LINE__,0); + return r; +} + +double int_for_wint2_ncur(double logk, void *intpar,error **err) +{ + double krsqr, k, r; + cosmoAND2double* extra; + + extra = (cosmoAND2double*) intpar; + r = extra->r; + k = exp(logk); + krsqr = dsqr(k*r); + r = sm2_transfer(extra->self, k, err) * 4.0 * krsqr * (1.0-krsqr) * exp(-krsqr); + forwardError(*err,__LINE__,0); + return r; +} + +#define kmin 1.e-2 +#define kmaxdefault 1.e-8 +void wint2(cosmo* self, double r, double *sig, double *d1, double *d2, double a, int onlysig, + error **err, double precision) +{ + double kmax, logkmin, logkmax, s1, s2, s3, amp; + cosmoAND2double intpar; + + /* Choose upper integration limit to where filter function drops + * substantially */ + kmax = sqrt(10.0*log(10.0))/r; + if (kmaxtransfer) { + case bbks : case eisenhu : case eisenhu_osc : + amp = D_plus(self, a, 1, err); forwardError(*err,__LINE__,); + break; + default : + *err = addError(ce_transfer, "Wrong transfer type", *err, __LINE__); + return; + } + + if (onlysig==1) { + s1 = sm2_qromberg(&int_for_wint2_knl, (void*)&intpar, logkmin, logkmax, precision, err); + forwardError(*err, __LINE__,); + *sig = amp*sqrt(s1); + } else s1 = dsqr(1.0/amp); /* sigma = 1 */ + + if (onlysig==0) { + s2 = sm2_qromberg(int_for_wint2_neff, (void*)&intpar, logkmin, logkmax, 1.0e-6, err); + forwardError(*err, __LINE__,); + s3 = sm2_qromberg(int_for_wint2_ncur, (void*)&intpar, logkmin, logkmax, 1.0e-6, err); + forwardError(*err, __LINE__,); + *d1 = -s2/s1; + *d2 = -dsqr(*d1) - s3/s1; + } +} +#undef kmin +#undef kmaxdefault + +/* Slope in the highly nonlinear regime, c.f. Smith et al (2003) eq. (61) */ +double slope_NL(double n, double ncur, double om_m, double om_v) +{ + double gam, f1a, f1b, frac, f1; + + gam = 0.86485 + 0.2989*n + 0.1631*ncur; + if(fabs(1-om_m)>0.01) { + f1a = pow(om_m,(-0.0732)); + f1b = pow(om_m,(-0.0307)); + frac = om_v/(1.0-om_m); + f1 = frac*f1b + (1-frac)*f1a; + } else { + f1 = 1.0; + } + + return 3.0*(f1-1.0) + gam - 3.0; +} + +void halofit(double k, double n, double ncur, double knl, double plin, + double om_m, double om_v, double *pnl, nonlinear_t nonlinear, double aa, cosmo *self, + error **err) +{ + double gam,a,b,c,xmu,xnu,alpha,beta,f1,f2,f3; + double y, ysqr; + double f1a,f2a,f3a,f1b,f2b,f3b,frac,pq,ph; + double nsqr, w; + + nsqr = n*n; + f1b = pow(om_m, -0.0307); + f2b = pow(om_m, -0.0585); + f3b = pow(om_m, 0.0743); + + if (nonlinear == smith03_revised) { + /* Takahashi et al. 2012 */ + + w = w_de(self, aa, err); + forwardError(*err, __LINE__,); + + a = 1.5222 + 2.8553*n + 2.3706*nsqr + 0.9903*n*nsqr + + 0.2250*nsqr*nsqr - 0.6038*ncur + 0.1749*om_v*(1.0 + w); + a = pow(10.0, a); + b = pow(10.0, -0.5642 + 0.5864*n + 0.5716*nsqr - 1.5474*ncur + 0.2279*om_v*(1.0 + w)); + c = pow(10.0, 0.3698 + 2.0404*n + 0.8161*nsqr + 0.5869*ncur); + gam = 0.1971 - 0.0843*n + 0.8460*ncur; + alpha = fabs(6.0835 + 1.3373*n - 0.1959*nsqr - 5.5274*ncur); + beta = 2.0379 - 0.7354*n + 0.3157*nsqr + 1.2490*n*nsqr + 0.3980*nsqr*nsqr - 0.1682*ncur; + xmu = 0.0; + xnu = pow(10.0, 5.2105 + 3.6902*n); + + f1 = f1b; + f2 = f2b; + f3 = f3b; + + } else { + + gam = 0.86485 + 0.2989*n + 0.1631*ncur; + a = 1.4861 + 1.83693*n + 1.67618*nsqr + 0.7940*n*nsqr + + 0.1670756*nsqr*nsqr - 0.620695*ncur; + a = pow(10,a); + b = pow(10,(0.9463+0.9466*n+0.3084*nsqr-0.940*ncur)); + c = pow(10,(-0.2807+0.6669*n+0.3214*nsqr-0.0793*ncur)); + xmu = pow(10,(-3.54419+0.19086*n)); + xnu = pow(10,(0.95897+1.2857*n)); + alpha = 1.38848+0.3701*n-0.1452*nsqr; + beta = 0.8291+0.9854*n+0.3400*nsqr; + + if(fabs(1-om_m)>0.01) { + f1a = pow(om_m,(-0.0732)); + f2a = pow(om_m,(-0.1423)); + f3a = pow(om_m,(0.0725)); + + /* Original halofit */ + frac = om_v/(1.0-om_m); + + if (nonlinear==smith03_de) { + + /* icosmo.org 'Pfusch' */ + double we, wde; + wde = w_de(self, aa, err); + forwardError(*err, __LINE__,); + /* Interpolate between this w and w=-1/3 (behaves like OCDM) */ + we = frac*wde + (1.0-frac)*(-1.0/3.0); + frac = -(3.0*we+1.0)/2.0; + + } + + f1 = frac*f1b + (1-frac)*f1a; + f2 = frac*f2b + (1-frac)*f2a; + f3 = frac*f3b + (1-frac)*f3a; + } else { /* EdS Universe */ + f1 = f2 = f3 = 1.0; + } + + } + + y = k/knl; + ysqr = y*y; + ph = a*pow(y,f1*3)/(1+b*pow(y,f2)+pow(f3*c*y,3-gam)); + ph = ph/(1+xmu/y+xnu/ysqr); + pq = plin*pow(1+plin,beta)/(1+plin*alpha)*exp(-y/4.0-ysqr/8.0); + *pnl = pq + ph; + + testErrorRet(!isfinite(*pnl), ce_overflow, "Power spectrum pnl not finite", *err, __LINE__,); + testErrorRet(*pnl<0, ce_negative, + "Negative power spectrum pnl. This can happen if n_eff is very negative and plin large.", + *err, __LINE__,); +} + +double dlog(double x) +{ + return log(x)/log(10.0); +} + +int change_w_de(cosmo *avant, cosmo * apres) +{ + int i; + + if (NCOEQ(avant, apres, w0_de) || NCOEQ(avant, apres, w1_de)) return 1; + + if (NCOEQ(avant, apres, N_poly_de)) return 1; + for (i=0; iN_poly_de; i++) { + if (NCOCLOSE(avant, apres, w_poly_de[i])) return 1; + } + return 0; +} + +int change_P_NL(cosmo* avant, cosmo* apres) { + + if (NCOEQ(avant,apres,growth) || NCOEQ(avant,apres,transfer) || NCOEQ(avant,apres,de_param) || + NCOEQ(avant,apres,nonlinear) || NCOEQ(avant,apres,N_a)) + return 1; + if (NCOCLOSE(avant,apres,Omega_m) || NCOCLOSE(avant,apres,Omega_de) || NCOCLOSE(avant,apres,w0_de) || + NCOCLOSE(avant,apres,w1_de) || NCOCLOSE(avant,apres,a_min) || NCOEQ(avant,apres,de_param) || + NCOCLOSE(avant,apres,h_100) || NCOCLOSE(avant,apres,Omega_b) || NCOCLOSE(avant,apres,n_spec) || + NCOCLOSE(avant,apres,normalization) || + NCOCLOSE(avant,apres,Omega_nu_mass) || NCOCLOSE(avant,apres,Neff_nu_mass)) + return 1; + + if (change_w_de(avant, apres)) return 1; + + return 0; +} + +double P_NL(cosmo *self, double a, double k, error **err) +{ + double p_cb; + + testErrorRet(self->nonlinear == pd96 && self->transfer == eisenhu_osc, ce_transfer, + "Nonlinear mode 'pd96' not possible with transfer function 'eisenhu_osc'\n" + "(Choose e.g. 'eisenhu' instead)", + *err, __LINE__, -1.0); + + /* Matter power spectrum */ + switch (self->nonlinear) { + + case linear : case pd96 : case smith03 : case smith03_de : case smith03_revised : + p_cb = P_NL_fitting(self, a, k, err); + forwardError(*err, __LINE__, -1.0); + break; + + case coyote10 : case coyote13 : + p_cb = P_NL_coyote(self, a, k, err); + forwardError(*err, __LINE__, -1.0); + break; + + default : + *err = addErrorVA(ce_unknown, "Unknown nonlinear flag %d", *err, __LINE__, self->nonlinear); + return -1.0; + + } + + return p_cb; +} + +/* ============================================================ * + * Dark (+ baryonic) matter power spectrum, for * + * snonlinear = linear, pd96, smith03,smith03_de, and * + * smith03_revised. * + * For a general power spectrum, use cosmo.c:P_NL. * + * ============================================================ */ +#define itermax 25 +#define logrmin -6.0 +#define logrmax 5.0 +#define eps_a 1.0e-5 +#define epsi 1.0e-3 // 1e-5 +#define precision_min 1.0e-6 +#define precision_max 1.01e-11 +double P_NL_fitting(cosmo* self, double a, double k_NL, error **err) +{ + double table_k[N_k], table_P[N_k], y2[N_k]; + double *table_slope = 0; + double logkmin = 0.0, logkmax = 0.0, dk = 0.0, da = 0.0; + double Delta_NL, Delta_L, k_L, lnk_NL=0.0; + double precision = precision_min; + + double omm=0.0, omv=0.0, amp=0.0; + double logr1, logr2 ,diff, rmid, sig, d1, d2; + double rknl=0.0, rneff=0.0, rncur=0.0; + + double aa, klog, val, logrmid, EE, r, upper=0.0; + int i,j, iter, golinear=-1; + interTable2D *lP_NL; + + testErrorRetVA(k_NL<=0, ce_negative, "Negative k=%g", *err, __LINE__, -1.0, k_NL); + testErrorRetVA(aa_min || a>1.0, + ce_wrongValue, "a=%g out of range", *err, __LINE__, -1.0, a); + + + if (self->P_NL == NULL) { + testErrorRetVA(!(self->nonlinear==linear || self->nonlinear==pd96 || self->nonlinear==smith03 + || self->nonlinear==smith03_de || self->nonlinear==smith03_revised), + ce_unknown, "Unknown nonlinear mode %d", + *err, __LINE__, 0, self->nonlinear); + + testErrorRet(self->nonlinear == coyote10, ce_wrongValue, "nonlinear mode 'coyote10' not valid in P_NL", + *err, __LINE__, 0.0); + testErrorRet(self->nonlinear == coyote13, ce_wrongValue, "nonlinear mode 'coyote13' not valid in P_NL", + *err, __LINE__, 0.0); + + /* upper = (dlnP/dlnk)_{k=kmax}, for splines & extrapolation */ + /* Note that the in the range considered here the linear power + * spectrum is still a bit shallower than k^(n-4) since T(k) has + * not yet reached its asymptotic limit. + */ + + da = (1.0 - self->a_min)/(self->N_a-1.0); + aa = self->a_min; + logkmin = log(k_min); + logkmax = log(k_max); + dk = (logkmax - logkmin)/(N_k-1.0); + + if (self->nonlinear==linear) { + upper = self->n_spec-4.0; + } else if (self->nonlinear==pd96) { + upper = -2.5; + } else if (self->nonlinear==smith03 || self->nonlinear==smith03_de || self->nonlinear==smith03_revised) { + self->slope = init_interTable(self->N_a, self->a_min, 1.0, da, 1.0e31, 1.0e31, err); + forwardError(*err,__LINE__,0); + table_slope = self->slope->table; + } + lP_NL = init_interTable2D(self->N_a, self->a_min, 1.0, da, N_k, logkmin, logkmax, + dk, self->n_spec, upper, err); + forwardError(*err,__LINE__,0); + + for (i=0; iN_a; i++,aa+=da) { + + if (self->nonlinear==smith03 || self->nonlinear==smith03_de || self->nonlinear==smith03_revised) { + /* Smith et al. (2003) */ + EE = Esqr(self, aa, 0, err); forwardError(*err,__LINE__,0); + omm = Omega_m_a(self, aa, EE, err); forwardError(*err,__LINE__,0); + omv = Omega_de_a(self, aa, EE, err); forwardError(*err,__LINE__,0); + golinear = 0; + + /* Find non-linear scale with iterative bisection */ +iter_start: + logr1 = logrmin; + logr2 = logrmax; + iter = 0; + do { + + logrmid = (logr2+logr1)/2.0; + rmid = pow(10,logrmid); + wint2(self,rmid, &sig, NULL, NULL, aa, 1, err, precision); + if (isError(*err)) + printError(stderr, *err); + forwardError(*err, __LINE__, 0); + diff = sig - 1.0; + if(diff>epsi) + logr1 = dlog(rmid); + if(diff<-epsi) + logr2 = dlog(rmid); + } while (fabs(diff)>=epsi && ++iter=itermax) { + /* Non-linear scale very very small, all scales basically + * linear: set flag golinear and continue + */ + if (logrmid-logrminn_spec-4.0; + } else if (logrmax-logrmidprecision_max) { + precision /= 10.0; + goto iter_start; + } else { + *err = addErrorVA(ce_noknl, "Nonlinear scale not found for a=%g, precision=%g", *err, __LINE__, aa, precision); + return 0.0; + } + } + } else { + /* Spectral index & curvature at non-linear scale */ + wint2(self,rmid, &sig, &d1, &d2, aa, 0, err, precision_min); + forwardError(*err,__LINE__,0); + rknl = 1.0/rmid; + rneff = -3.0-d1; + rncur = -d2; + upper = table_slope[i] = slope_NL(rneff, rncur, omm, omv); + forwardError(*err,__LINE__,0); + } + } + klog = logkmin; + for (j=0; jnonlinear==linear) { + + Delta_NL = P_L(self, aa, k_L, err)*k_L*k_L*k_L/(2.0*pi_sqr); + forwardError(*err, __LINE__, 0); + lnk_NL = klog; + + } else if (self->nonlinear==pd96) { + + Delta_L = P_L(self,aa,k_L,err)*k_L*k_L*k_L/(2.0*pi_sqr); + forwardError(*err,__LINE__,0); + Delta_NL = f_NL(self,Delta_L, aa, k_L, err); + forwardError(*err,__LINE__,0); + lnk_NL = klog + 1.0/3.0*log(1.0 + Delta_NL); /* PD (5) */ + + } else if (self->nonlinear==smith03 || self->nonlinear==smith03_de || + self->nonlinear==smith03_revised) { + + switch (self->transfer) { + case bbks : case eisenhu : case eisenhu_osc : + amp = D_plus(self, aa, 1, err); forwardError(*err,__LINE__,0); + break; + default : + *err = addError(ce_transfer, "wrong transfer type", *err, __LINE__); + return 0; + } + + Delta_L = amp*amp*sm2_transfer(self, k_L, err); + forwardError(*err, __LINE__, 0); + if (golinear==0) { + halofit(k_L, rneff, rncur, rknl, Delta_L, omm, omv, &Delta_NL, self->nonlinear, aa, self, err); + forwardError(*err, __LINE__, 0); + } else if (golinear==1) { + Delta_NL = Delta_L; + } + lnk_NL = klog; + + } + + table_k[j] = lnk_NL; + table_P[j] = log(2*pi_sqr*Delta_NL) - 3.0*lnk_NL; /* PD (3) */ + + } + sm2_spline(table_k-1, table_P-1, N_k, self->n_spec, upper, y2-1, err); + forwardError(*err,__LINE__,0); + klog = logkmin; + for (j=0; jtable[i][j] = val; + } + } + self->P_NL = lP_NL; + } + + klog = log(k_NL); + +#ifdef fastxi + if (self->nonlinear==smith03 || self->nonlinear==smith03_de || self->nonlinear==smith03_revised) { + upper = interpol_wr(self->slope,a,err); + forwardError(*err, __LINE__, 0); + self->P_NL->upper = upper; + } + + r = (a-self->a_min)/self->P_NL->dx1; /* da */ + i = (int)(r+0.5); /* Round to next integer */ + if (fabs(r-i)P_NL->table[i], self->P_NL->n2, self->P_NL->a2, self->P_NL->b2, + self->P_NL->dx2, klog, self->n_spec, self->P_NL->upper, err); + forwardError(*err, __LINE__, 0); + testErrorRet(!isfinite(val), ce_infnan, "Power spectrum P_NL not finite", *err, __LINE__, -1); + val = exp(val); + return val; + } + else +#endif + val = interpol2D(self->P_NL, a, klog, err); + forwardError(*err, __LINE__, 0); + val = exp(val); + return val; +} +#undef itermax +#undef logrmin +#undef logrmax +#undef eps_a +#undef epsi +#undef precision_min +#undef precision_max + +/* ============================================================ * + * Calls the Coyote emulator and returns the non-linear power * + * spectrum. * + * ============================================================ */ + +void set_H0_Coyote(cosmo *self, error **err) +{ + cosmo *tmp; + double h_100_WMAP5; + + tmp = copy_parameters_only(self, err); forwardError(*err, __LINE__,); + h_100_WMAP5 = getH0fromCMB(self->Omega_m, self->Omega_b, self->w0_de, 0); + self->h_100 = h_100_WMAP5; + updateFrom(tmp, self, err); forwardError(*err, __LINE__,); + free_parameters(&tmp); +} + +double P_NL_coyote(cosmo *self, double a, double k, error **err) +{ + double K, h2, h_100_WMAP7, val; + + /* Check flatness and w(z) = const */ + K = self->Omega_m + self->Omega_nu_mass + self->Omega_de - 1.0; + testErrorRetVA(fabs(K)>EPSILON, coyote_flat, "Universe is not flat (K=%g)", *err, __LINE__, -1.0, K); + testErrorRetVA(fabs(self->w1_de)>EPSILON, ce_de, "Dark-energy equation of state not constant (w_1=%g)", + *err, __LINE__, -1.0, self->w1_de); + testErrorRet(self->de_param == poly_DE, ce_de, "Dark-energy mode not consistent (no constant w)", + *err, __LINE__, -1.0); + + h2 = self->h_100 * self->h_100; + + if (self->nonlinear == coyote10) { + + /* Check whether Hubble constant is consistent with CMB constraints */ + h_100_WMAP7 = getH0fromCMB(self->Omega_m * h2, self->Omega_b * h2, self->w0_de, 1); + //h_100_WMAP7 = getH0fromCMB(self->Omega_m, self->Omega_b, self->w0_de, 0); + + /* Note: for some (numerical?) reasons, precision should be set lower than 1.0e-3 (in getH0fromCMB) */ + testErrorRetVA(fabs(h_100_WMAP7 - self->h_100) > 0.005, coyote_h, + "Input Hubble parameter %g not consistent with CMB constraints (h=%g)", + *err, __LINE__, -1.0, self->h_100, h_100_WMAP7); + + } + + /* Tabulated Coyote k's are [1/Mpc] */ + if (self->nonlinear == coyote10) { + + if (k < ksim_min / self->h_100) { + + /* Large scales -> linear power spectrum */ + val = P_L(self, a, k, err); forwardError(*err, __LINE__, -1.0); + + } else if (k > ksim_max / self->h_100) { + + /* Small scales, option 1 -> Set power to zero */ + val = 0; + + /* Small scales, option 2-> Glue Smith03 P(k) a la Eifler 2011 */ + /* + static cosmo *tmp = NULL; + static double ratio; + if (tmp == NULL) { + tmp = copy_parameters_only(self, err); forwardError(*err, __LINE__, -1.0); + tmp->nonlinear = smith03_de; + updateFrom(self, tmp, err); forwardError(*err, __LINE__, -1.0); + + ratio = P_NL_coyote5(self->Omega_m * h2, self->Omega_b * h2, self->n_spec, self->sigma_8, + self->w0_de, self->h_100, a, ksim_max / self->h_100, err); + forwardError(*err, __LINE__, -1.0); + ratio /= P_NL_fitting(tmp, a, ksim_max / self->h_100, err); + forwardError(*err, __LINE__, -1.0); + printf("ratio = %g\n", ratio); + } + val = P_NL_fitting(tmp, a, k, err); forwardError(*err, __LINE__, -1.0); + val *= ratio; + */ + + } else { + + /* Coyote v1 */ + val = P_NL_coyote5(self->Omega_m * h2, self->Omega_b * h2, self->n_spec, self->sigma_8, + self->w0_de, self->h_100, a, k, err); + forwardError(*err, __LINE__, -1.0); + + } + + } else if (self->nonlinear == coyote13) { + + if (k < fr_ksim_min / self->h_100) { + + /* Large scales -> linear power spectrum */ + val = P_L(self, a, k, err); forwardError(*err, __LINE__, -1.0); + + } else if (k > fr_ksim_max / self->h_100) { + + /* Small scales, option 1 -> Set power to zero */ + val = 0; + + } else { + + /* Coyote v2 */ + val = P_NL_coyote6(self->Omega_m * h2, self->Omega_b * h2, self->n_spec, self->sigma_8, + self->w0_de, self->h_100, a, k, &(self->ystar_allz), err); + forwardError(*err, __LINE__, -1.0); + + } + + } else { + + val = -1; + *err = addError(ce_unknown, "Invalid nonlinear mode (should be coyote10 or coyote13 here)", *err, __LINE__); + + } + + return val; +} + +double int_for_w(double a, void *intpar, error **err) +{ + double asqr, d; + cosmoANDint *ci; + + ci = (cosmoANDint*)intpar; + asqr = dsqr(a); + d = asqr*asqr*Esqr(ci->self, a, ci->i, err); + forwardError(*err,__LINE__,-1); + + return 1.0/sqrt(d); +} + +int change_w(cosmo *avant, cosmo *apres) { + if (NCOEQ(avant,apres,de_param) || NCOEQ(avant,apres,N_a)) + return 1; + if (NCOCLOSE(avant,apres,Omega_m) || NCOCLOSE(avant,apres,Omega_de) || NCOCLOSE(avant,apres,w0_de) || + NCOCLOSE(avant,apres,w1_de) || NCOCLOSE(avant,apres,a_min) || NCOCLOSE(avant,apres,Omega_nu_mass)) + return 1; + /* MKDEBUG TODO: check N_poly_de */ + + if (change_w_de(avant, apres)) return 1; + + return 0; + + /* To be strict: With wOmega=1 in Esqr, there is a dependence on h_100 */ +} + +/* Comoving distance to an object at scale factor a */ +/* BS01 2.41, with a(z_2) = 0, a(z_1) = z, [w] = Mpc/h */ +double w(cosmo* self, double a, int wOmegar, error **err) +{ + double *table; + double da; + double aa; + int i; + double res; + interTable *lw; + cosmoANDint intpar; + + if (self->w==NULL) { + da = (1.0-self->a_min)/(self->N_a-1.0); + aa = self->a_min; + lw = init_interTable(self->N_a, self->a_min, 1.0, da, 0.0, 0.0, err); + forwardError(*err,__LINE__,0); + table = lw->table; + intpar.self = self; + intpar.i = wOmegar; + + for (i=0; iN_a-1; i++, aa+=da) { + table[i] = R_HUBBLE*sm2_qromberg(int_for_w, (void*)(&intpar), aa, 1.0, 1.0e-6, err); + forwardError(*err,__LINE__,0); + } + + table[self->N_a-1] = 0.0; + self->w = lw; + } + + res = interpol_wr(self->w, a, err); + forwardError(*err, __LINE__, 0.0); + + return res; +} + +/* Return a(w) */ +double a_of_w(cosmo *self, double ww, error **err) +{ + double a, a_low, a_high, da, wa, wmax; + + a_low = self->a_min; + a_high = 1.0; + da = 1.0e-8; + + testErrorRetVA(ww<0, ce_negative, "Comoving distance %g is negative", + *err, __LINE__, -1.0, ww); + wmax = w(self, a_low, 0, err); + forwardError(*err, __LINE__, -1.0); + testErrorRetVA(ww>wmax, ce_overflow, "Comoving distance %g larger than maximum distance %g (a_min=%g)", + *err, __LINE__, -1.0, ww, wmax, a_low); + + do { + a = (a_high + a_low) / 2.0; + wa = w(self, a, 0, err); + /* + cosmoANDint intpar; + intpar.self = self; + intpar.i = 0; + wa = R_HUBBLE*sm2_qromberg(int_for_w, (void*)(&intpar), a, 1.0, 1.0e-8, err); + */ + forwardError(*err, __LINE__, -1.0); + if (ww < wa) { + a_low = a; + } else { + a_high = a; + } + } while (a_high - a_low > da); + + return (a_high + a_low) / 2.0; +} + + +/* dw/da in Mpc/h */ +double dwoverda(cosmo *self, double a, error **err) +{ + double res; + cosmoANDint intpar; + + intpar.self = self; + intpar.i = 0; /* wOmegar */ + res = R_HUBBLE*int_for_w(a, (void*)&intpar, err); + forwardError(*err,__LINE__,0); + return res; +} + +/* dr/dz, r=comoving distance, see Hamana et al. (2004), eq. (10) */ +double drdz(cosmo *self, double a, error **err) +{ + double res; + int wOmegar = 0; + + res = 1.0/sqrt(Esqr(self, a, wOmegar, err)); + forwardError(*err,__LINE__,-1); + res *= R_HUBBLE; + + return res; +} + +/* dVol/dz */ +double dvdz(cosmo *self, double a, error **err) +{ + double res; + int wOmegar; + + wOmegar = 0; + res = dsqr(w(self, a, wOmegar, err)); forwardError(*err, __LINE__, -1.0); + res *= drdz(self, a, err); forwardError(*err, __LINE__, -1.0); + + return res; +} + +/* Comoving angular diameter distance in Mpc/h. BS01 2.4, 2.30 */ +double f_K(cosmo* self, double w, error **err) +{ + double K, K_h, f; + + testErrorRet(w<0, ce_negative, "Comoving distance is negative", *err, __LINE__, -1.0); + + /* Curvature without radiation (photons + massless neutrinos) density */ + K = self->Omega_m + self->Omega_nu_mass + self->Omega_de - 1.0; + + if (K>EPSILON) { /* closed */ + K_h = sqrt(K)/R_HUBBLE; + testErrorRet(K_h*w>pi, ce_zmax, "z larger than zmax in closed Universe", + *err, __LINE__, -1.0); + f = 1.0/K_h*sin(K_h*w); + } else if (K<-EPSILON) { /* open */ + K_h = sqrt(-K)/R_HUBBLE; + f = 1.0/K_h*sinh(K_h*w); + } else { /* flat */ + f = w; + } + + return f; +} + +/* Angular diameter distance (physical coordinates) in Mpc/h */ +double D_a(cosmo *self, double a, error **err) +{ + double da, ww; + ww = w(self, a, 0, err); forwardError(*err, __LINE__, 0); + da = f_K(self, ww, err)*a; forwardError(*err, __LINE__, 0); + return da; +} + +/* Angular diameter distance (physical coordinates) between two redshifts in Mpc/h see eq 19 in Hogg */ +double D_a12(cosmo *self, double a1, double a2, error **err) +{ + double dm1,dm2, ww1, ww2,da, omega_k; + ww1 = w(self, a1, 0, err); forwardError(*err, __LINE__, 0); + ww2 = w(self, a2, 0, err); forwardError(*err, __LINE__, 0); + dm1 = f_K(self, ww1, err); forwardError(*err, __LINE__, 0); + dm2 = f_K(self, ww2, err); forwardError(*err, __LINE__, 0); + + /* Curvature without radiation (photons + massless neutrinos) density */ + omega_k = self->Omega_m + self->Omega_nu_mass + self->Omega_de - 1.0; + + testErrorRet(omega_k<0.0, ce_negative, + "Angular diameter distance between 2 redshifts computed only for a universe with omega_k >= 0 ", + *err, __LINE__, -1.0); + + da = a1 *( dm1 * sqrt(1.0 + omega_k*dm2*dm2/dsqr(R_HUBBLE)) - dm2 * sqrt(1.0 + omega_k*dsqr(dm1)/dsqr(R_HUBBLE)) ); + + return da; +} + + +/* Luminosity distance in Mpc/h */ +double D_lum(cosmo *self, double a, error **err) +{ + double dlum, ww; + ww = w(self, a, 0, err); forwardError(*err, __LINE__, 0); + dlum = f_K(self, ww, err)/a; forwardError(*err, __LINE__, 0); + return dlum; +} + +/* Returns 1 if w(a) is outside of the conservative de prior range * + * and 0 if it is inside. */ + +int test_range_de_conservative(cosmo *model, error **err) +{ + double w; + + /* Prior: + 1. w(a) >= -1 + 2. w(a) <= -1/3 for a>=a_acc=2/3 (z=1/5) + */ + + testErrorRet(model->de_param!=linder, ce_unknown, + "Conservative de prior at the moment only defined for de_param=linder", + *err, __LINE__, 1); + + w = w_de(model, 1.0, err); forwardError(*err, __LINE__, 0.0); + if (w<-1 || w>-1.0/3.0) return 1; + + w = w_de(model, model->a_min, err); forwardError(*err, __LINE__, 0.0); + if (w<-1) return 1; + + w = w_de(model, a_acc, err); forwardError(*err, __LINE__, 0.0); + if (w>-1.0/3.0) return 1; + + return 0; +} + +/* ============================================================ * + * Returns the index of the (i_bin j_bin)-correlation if these * + * are ordered lexically as * + * 0 0 * + * 0 1 * + * ... * + * 0 n-1 * + * 1 1 * + * ... * + * n-1 n-1 * + * ============================================================ */ +int idx_zz(int i_bin, int j_bin, int Nzbin, error **err) +{ + testErrorRetVA(i_bin >= Nzbin || j_bin >= Nzbin || i_bin < 0 || j_bin < 0, ce_range, + "Redshift bin(s) (%d,%d) out of range [0; %d]", + *err, __LINE__, -1, i_bin, j_bin, Nzbin); + + return i_bin*Nzbin - i_bin*(i_bin-1)/2 + j_bin - i_bin; +} + +/* ============================================================ * + * Returns the index of the (i_bin j_bin k_bin)-correlation * + * if these are ordered lexically. * + * ============================================================ */ +int idx_zzz(int i_bin, int j_bin, int k_bin, int Nzbin) +{ + int i, j, k, index; + + for (i=0,index=0; i + +/* === CFHTLS Wide 3rd data release, Fu&Kilbinger (2010) === */ + +/* S/N, Psi=19' eta=1/50 */ +const double a_FK10_SN[N_FK10] = {0.1197730890, -0.3881211865, 0.5212557875, -0.3440507036, 0.2761305382, -0.07286690971}; + +/* FoM, Psi=222', eta=1/10 */ +const double a_FK10_FoM_eta10[N_FK10] = {0.009877788826, 0.1061397843, -0.4300211814, 0.5451016406, -0.3372272549, 0.1716983151}; + +/* FoM, Psi=222', eta=1/50 */ +const double a_FK10_FoM_eta50[N_FK10] = {0.1239456383, -0.3881431858, 0.5579593467, -0.3679282338, 0.1540941993, 0.01293361618}; + + +/* First-kind Chebyshev polynomial of order n */ +#define EPS 1.0e-10 +double Cheby(double x, int n, error **err) +{ + double Cn; + + testErrorRetVA(x<-1-EPS || x>1+EPS, mr_range, "x = %g out of range", *err, __LINE__, -1, x); + + if (x<-1) x = -1.0; + if (x>1) x = 1.0; + + Cn = cos (n * acos (x)); + return Cn; +} +#undef EPS + +/* Second-kind Chebyshev polynomial of order n */ +#define EPS 1.0e-10 +double Cheby2(double x, int n, error **err) +{ + double Un; + + testErrorRetVA(x<-1-EPS || x>1+EPS, mr_range, "x = %g out of range", *err, __LINE__, -1, x); + + if (x<-1) x = -1.0; + if (x>1) x = 1.0; + + if (x == 1) { + Un = n + 1; + } else if (x == -1) { + Un = pow(-1.0, n) * (n + 1.0); + } else { + Un = sin((n+1.0)*acos(x))/sin(acos (x)); + } + + return Un; +} +#undef EPS + +/* Legendre polynomial of order n */ +double Legen(double x, int n) +{ + + switch (n) { + case 0: + return 1.0; + case 1: + return x; + default: + return (2.0*n-1.0)/(double)n*x*Legen(x,n-1)-(n-1.0)/(double)n*Legen(x,n-2); + } +} + +/* General basis function of order n */ +#define EPS 1.0e-10 +double C(double x, int n, poly_t poly, error **err) +{ + double c; + + testErrorRetVA(x<-1-EPS || x>1+EPS, mr_range, "x = %g out of range", *err, __LINE__, -1, x); + + if (x<-1) x = -1.0; + if (x>1) x = 1.0; + + switch (poly) { + case cheby : + c = Cheby(x, n, err); + forwardError(*err, __LINE__, -1.0); + break; + case cheby2 : + c = Cheby2(x, n, err); + forwardError(*err, __LINE__, -1.0); + break; + case legen : + c = Legen(x, n); + break; + default : + *err = addErrorVA(mr_poly, "Unknown polynomial type %d", *err, __LINE__, poly); + return -1.0; + } + + return c; +} +#undef EPS + + +/* ============================================================ * + * The filter function for the generalised ring statistics. * + * FK09 (11). * + * ============================================================ */ +#define EPS 1.0e-6 +double Tp(double x, const double *a, int N, poly_t poly, error **err) +{ + int n; + double res, Cn, Cnm1=0.0, Cnm2; + + if (x<-1-EPS || x>+1+EPS) return 0; + + /* NEW! */ + //if (x<-1) x = -1; + //if (x>+1) x = +1; + + + testErrorRetVA(N<=0, mr_range, "N has to be larger than zero but is %d", *err, __LINE__, 0.0, N); + + testErrorRetVA(x>+1+EPS, mr_range, "x=%.10f out of range", *err, __LINE__, 0.0, x); + testErrorRetVA(x<-1-EPS, mr_range, "x=%.10f out of range", *err, __LINE__, 0.0, x); + + if (poly==cheby || poly==cheby2) { + + Cnm2 = 1.0; + if (poly==cheby) Cnm1 = x; + else if (poly==cheby2) Cnm1 = 2.0*x; + + res = 0.0; + res += a[0] * Cnm2; + if (N==1) return res; + res += a[1] * Cnm1; + if (N==2) return res; + + for (n=2; n-1.0); + + r = 3.0/dsqr(x + R); + Fnnu(x, n, poly, Fn, err); + forwardError(*err, __LINE__, 0.0); + + alpha = R*(1.0-r*R*R)*Fn[0]; + alpha += (1.0 - 3.0*r*R*R)*Fn[1]; + alpha += -3.0*r*R*Fn[2]; + alpha += -r*Fn[3]; + alpha *= 4.0/3.0*r; + + return alpha; +} + +/* ============================================================ * + * The filter function T_- obtained from T_+, FK09 (20). * + * ============================================================ */ +#define EPS 1.0e-10 +double Tm(double x, const double *a, int N, poly_t poly, double R, error **err) +{ + double tm, c, alph; + int n; + + testErrorRetVA(x<-1-EPS, mr_range, "x=%.20f smaller than -1", *err, __LINE__, 0.0, x); + + for (n=0,tm=0.0; nth[Nxi-1], mr_range, + "THETA_MAX=%g' is larger than maximum angular scale for xi+-, %g'", + *err, __LINE__, 0.0, THETA_MAX/arcmin, th[Nxi-1]/arcmin); + + if (a==NULL) { + *err = addError(mr_null, "Coefficients a=NULL", *err, __LINE__); + return 0.0; + } + + + /* FK09 (8) */ + A = (THETA_MAX - THETA_MIN)/2.0; + B = (THETA_MAX + THETA_MIN)/2.0; + + for (i=0,res=0.0; i THETA_MAX) break; + + /* theta[i] is the bin center */ + + if (i==0) { + dt1 = (th[i+1] - th[i])/2.; + dtheta = 2*dt1; + } else if (i==Nxi-1) { + dt2 = (th[i] - th[i-1])/2.; + dtheta = 2*dt2; + } else { + dt1 = (th[i+1] - th[i])/2.; + dt2 = (th[i] - th[i-1])/2.; + dtheta = dt2 + dt1; + } + x = (theta-B)/A; + + if (pm==+1) { + summand = xip[i]*theta/dsqr(THETA_MAX); + summand *= Tp(x, a, N, poly, err); + forwardError(*err, __LINE__, -1.0); + } else if (pm==-1) { + summand = xim[i]*theta/dsqr(THETA_MAX); + summand *= Tm(x, a, N, poly, B/A, err); + forwardError(*err, __LINE__, -1.0); + } else { + summand = 0.0; + } + + res += summand*dtheta; + } + + testErrorRet(!isfinite(res), math_infnan, "R is not finite", *err, __LINE__, + 0.0); + + return res; +} + + +/* If cov_mode=outer, n, m are not used. For cov_mode=inner, a, N are not used. * + * If cov_mode=fromZ, the covariance using Z+ is returned and a, N are not used. */ +#define EPS 1.0e-5 +double cov_RR(const double *THETA_MIN, const double *THETA_MAX, const double *a, int N, poly_t poly, + const double *theta, const double *cov_xi, int Ntheta, + cov_mode_t cov_mode, int n, int m, double fac, error **err) +{ + double sum, dlogtheta, tmp, A[2], B[2], xi, xj, yi, yj, thetai, thetaj; + int i, j; + static double **Cov_xi = NULL; + + + /* Testing for a==NULL not possible because cov_RR is also called from get_cov_RR_inner_array */ + if (cov_mode==fromZ) { +#ifdef __MRING_H + sum = cov_RR_Z(THETA_MIN, THETA_MAX, theta, cov_xi, Ntheta, err); + forwardError(*err, __LINE__, 0.0); + return sum; +#else + *err = addError(mr_type, "cov_mode 'fromZ' not supported here", *err, __LINE__); + return 0.0; +#endif + } + + for (i=0; i<2; i++) { + A[i] = (THETA_MAX[i] - THETA_MIN[i])/2.0; + B[i] = (THETA_MAX[i] + THETA_MIN[i])/2.0; + } + + dlogtheta = log(theta[1]) - log(theta[0]); + + for (i=0; i<2; i++) { + testErrorRetVA(theta[0]>THETA_MIN[i], mr_range, + "Minumum of xi-covariance (%g=%g') larger than THETA_MIN (%g=%g')", + *err, __LINE__, -1, theta[0], theta[0]/arcmin, THETA_MIN[i], THETA_MIN[i]/arcmin); + testErrorRetVA(theta[Ntheta-1]THETA_MAX[0]) continue; + xi = (thetai-B[0])/A[0]; + yi = thetai/THETA_MAX[0]; + + //for (j=0; jTHETA_MAX[1]) continue; + xj = (thetaj-B[1])/A[1]; + yj = thetaj/THETA_MAX[1]; + + tmp = dsqr(dlogtheta); + + if (cov_mode==outer) { + tmp *= Tp(xi, a, N, poly, err); + forwardError(*err, __LINE__, -1); + tmp *= Tp(xj, a, N, poly, err); + forwardError(*err, __LINE__, -1); + } else { + tmp *= C(xi, n, poly, err); forwardError(*err, __LINE__, -1); + tmp *= C(xj, m, poly, err); forwardError(*err, __LINE__, -1); + } + + tmp *= dsqr(yi*yj); + + //tmp *= cov_xi[i*Ntheta+j]; + tmp *= sm2_interpol2d(Cov_xi, Ntheta, log(theta[0]), log(theta[Ntheta-1]), dlogtheta, log(thetai), + Ntheta, log(theta[0]), log(theta[Ntheta-1]), dlogtheta, log(thetaj), 0.0, 0.0, err); + forwardError(*err, __LINE__, -1.0); + + sum += tmp; + + } + + } + + /* Comment the following two lines for faster code, but be aware that no check is done + * whether the input covariance changes! */ + sm2_free_matrix(Cov_xi, 0, Ntheta-1, 0, Ntheta-1); + Cov_xi = NULL; + + return sum; +} +#undef EPS + +/* RR-Covariance using a diagonal xi-covariance. * + * If cov_mode=outer, n, m are not used. For cov_mode=inner, a, N are not used. * + * If cov_mode=fromZ, the covariance using Z+ is returned and a, N are not used. */ +#define EPS 1.0e-5 +double cov_RR_diag_xi(const double *THETA_MIN, const double *THETA_MAX, const double *a, int N, poly_t poly, + const double *theta, const double *var_xi, int Ntheta, + int islog, error **err) +{ + double sum, dlogtheta, dtheta, tmp, A[2], B[2], xi, xj, yi, yj, thetai, thetaj; + int i; + + for (i=0; i<2; i++) { + A[i] = (THETA_MAX[i] - THETA_MIN[i])/2.0; + B[i] = (THETA_MAX[i] + THETA_MIN[i])/2.0; + } + + if (islog==0) { + dtheta = theta[1] - theta[0]; + dlogtheta = 0.0; + } else if (islog==1) { + dlogtheta = log(theta[1]) - log(theta[0]); + dtheta = 0.0; + } else { + *err = addErrorVA(mr_type, "Invalid flag islog = %d\n", *err, __LINE__, islog); + return 0.0; + } + + for (i=0; i<2; i++) { + testErrorRetVA(theta[0]>THETA_MIN[i], mr_range, + "Minumum of xi-covariance (%g=%g') larger than THETA_MIN (%g=%g')", + *err, __LINE__, -1, theta[0], theta[0]/arcmin, THETA_MIN[i], THETA_MIN[i]/arcmin); + testErrorRetVA(theta[Ntheta-1]THETA_MAX[0]) continue; + xi = (thetai-B[0])/A[0]; + yi = thetai/THETA_MAX[0]; + + xj = (thetaj-B[1])/A[1]; + yj = thetaj/THETA_MAX[1]; + + if (islog==0) { + // tmp = dsqr(dtheta) /thetai/thetai; + tmp = dsqr(dtheta)*yi*yj/THETA_MAX[0]/THETA_MAX[1]; + + } else { + + tmp = dsqr(dlogtheta); + tmp *= dsqr(yi*yj); + } + + tmp *= Tp(xi, a, N, poly, err); + forwardError(*err, __LINE__, -1); + tmp *= Tp(xj, a, N, poly, err); + forwardError(*err, __LINE__, -1); + + + tmp *= var_xi[i]; + // tmp *= dsqr(yi*yj); + + sum += tmp; + } + + return sum; +} +#undef EPS + +/* ============================================================ * + * Returns the chi^2 for a null test (RR=0). * + * ============================================================ */ +double chi2_RB_null(const double *RB, const double *covRB, int NRB) +{ + int i, j; + double c2; + + for (i=0,c2=0.0; iEPSILON, mr_file, + "Inconsistent file %s, psimin=%g should be %g according to the file name", + *err, __LINE__, NULL, rname, psimin, Psimin/arcmin); + testErrorRetVA(fabs(psimax-Psimax/arcmin)>EPSILON, mr_file, + "Inconsistent file %s, psimax=%g should be %g according to the file name", + *err, __LINE__, NULL, rname, psimax, Psimax/arcmin); + + return c_cosebi; +} + +/* ============================================================ * + * Reads COSEBIs zeros and normalisation coefficients from file * + * and sets corresponding min and max scales. * + * Calculates polynomial coefficients c and returns them. * + * ============================================================ */ +double *read_zeros_norm_cosebi(const char *rname, double *psimin, double *psimax, error **err) +{ + FILE *F; + int Nzeros, Ncoeff, k, n, off_c, off_R, nmax; + ssize_t nread; + double *Rn, *Norm, *c; + char *str, *line=NULL; + + + F = fopen_err(rname, "r", err); forwardError(*err, __LINE__, NULL); + + /* Read two header lines */ + line = malloc_err(1024*sizeof(char), err); forwardError(*err, __LINE__, NULL); + str = fgets(line, 1024, F); + str = fgets(line, 1024, F); + free(line); + + nread = fscanf(F, "%d %lg %lg\n", &nmax, psimin, psimax); + testErrorRet(nread != 3, mr_file, "File has wrong format.", *err, __LINE__, NULL); + + testErrorRetVA(nmax > NMAX_COSEBI, mr_range, + "COSEBI number of modes n=%d read from file %s cannot be larger than NMAX_COSEBI=%d", + *err, __LINE__, NULL, nmax, rname, NMAX_COSEBI); + + + /* Number of zeros for nmax polynomials, * + * sum_{i=1}^{nmax+1} (i+1) = sum_{i=0}^{nmax+1} i - 1 */ + Nzeros = (nmax+1) * (nmax+2) / 2 - 1; + + //fprintf(stderr, "nmax = %d , Psi = [%g, %g]\n", nmax, *psimin, *psimax); + //fprintf(stderr, "Reading %d Rn, %d Norm, from %s\n", Nzeros, nmax, rname); + + Rn = malloc_err(sizeof(double)*Nzeros, err); forwardError(*err, __LINE__, NULL); + Norm = malloc_err(sizeof(double)*nmax, err); forwardError(*err, __LINE__, NULL); + + /* Read zeros */ + for (k=0; kredshift = init_redshift(Nzbin, Nnz, nofz, photz, par_nz, NULL, err); forwardError(*err, __LINE__, NULL); + + amin = get_amin(res->redshift, err); + forwardError(*err, __LINE__, NULL); + + res->cosmo = init_parameters(OMEGAM, OMEGADE, W0_DE, W1_DE, W_POLY_DE, N_POLY_DE, + H100, OMEGAB, OMEGANUMASS, + NEFFNUMASS, NORM, NSPEC, NONLINEAR, TRANSFER, GROWTH, DEPARAM, + NORMMODE, amin, err); + forwardError(*err, __LINE__, NULL); + + /* Lensing parameters */ + res->tomo = TOMO; + res->projection = PROJECTION; + res->reduced = REDUCED; + res->q_mag_size = Q_MAG_SIZE; + + res->ia = IA; + res->ia_terms = IA_TERMS; + res->A_ia = A_IA; + + if (NONLINEAR==halodm) { + res->hm = init_parameters_hm(res->cosmo->Omega_m, res->cosmo->Omega_de, res->cosmo->w0_de, res->cosmo->w1_de, + res->cosmo->w_poly_de, res->cosmo->N_poly_de, + res->cosmo->h_100, res->cosmo->Omega_b, res->cosmo->Omega_nu_mass, + res->cosmo->Neff_nu_mass, res->cosmo->normalization, res->cosmo->n_spec, + res->redshift->Nzbin, res->redshift->Nnz, res->redshift->nofz, + res->redshift->photz, res->redshift->par_nz, + //[jean]--------------------------------------------------------------- + //This is for the comoving volume in hod_FFTLog.c + -1, -1, + //--------------------------------------------------------------------- + halodm, res->cosmo->transfer, res->cosmo->growth, res->cosmo->de_param, + res->cosmo->normmode, + C0, ALPHA_NFW, BETA_NFW, MASSFCT, HALO_BIAS, 0.0, 0.0, 0.0, 0.0, 0.0, + 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, 0.0, 0.0, 0.0, + hod_none, 60.0, err); + + forwardError(*err, __LINE__, NULL); + } else { + res->hm = NULL; + } + + /* Reset pre-computed tables */ + res->g_source = NULL; + res->Pshear = NULL; + res->Pg1 = NULL; + res->xiP = NULL; + res->xiM = NULL; + res->gamma = NULL; + res->map_gauss = NULL; + res->map_poly = NULL; + res->c_cosebi = NULL; + res->psimin_cosebi = res->psimax_cosebi = 0.0; + res->N_cosebi = 0; + res->w2_c0 = NULL; + res->w2_c1 = NULL; + + consistency_parameters_lens(res, err); forwardError(*err, __LINE__, NULL); + + return res; +} + +/* ============================================================ * + * Checks for consistent parameters in structure cosmo_lens. * + * ============================================================ */ +void consistency_parameters_lens(const cosmo_lens *self, error **err) +{ + testErrorRet(self->ia == ia_none && self->ia_terms != ia_undef, lensing_ia, + "IA terms should be 'ia_undef' for no intrinsic alignment", + *err, __LINE__,); + testErrorRet(self->ia != ia_none && self->ia_terms == ia_undef, lensing_ia, + "IA terms cannot be 'ia_undef' for intrinsic alignment", + *err, __LINE__,); +} + +/* ============================================================ * + * Creates and returns a new cosmo_lens structure with * + * parameters copied from source. * + * ============================================================ */ +cosmo_lens* copy_parameters_lens_only(cosmo_lens* source, sm2_error **err) +{ + cosmo_lens *res; + + res = init_parameters_lens(source->cosmo->Omega_m,source->cosmo->Omega_de, source->cosmo->w0_de, + source->cosmo->w1_de, source->cosmo->w_poly_de, source->cosmo->N_poly_de, + source->cosmo->h_100, source->cosmo->Omega_b, + source->cosmo->Omega_nu_mass, source->cosmo->Neff_nu_mass, + source->cosmo->normalization, source->cosmo->n_spec, + source->redshift->Nzbin, source->redshift->Nnz, source->redshift->nofz, + source->redshift->photz, source->redshift->par_nz, + source->cosmo->nonlinear, source->cosmo->transfer, + source->cosmo->growth, source->cosmo->de_param, + source->cosmo->normmode, source->tomo, source->projection, source->reduced, source->q_mag_size, + source->ia, source->ia_terms, source->A_ia, err); + forwardError(*err, __LINE__, NULL); + + return res; +} + +cosmo_lens* copy_parameters_lens(cosmo_lens* source, sm2_error **err) +{ + cosmo_lens *res; + int Nzbin, Ncoeff, Nzcorr; + + res = copy_parameters_lens_only(source, err); forwardError(*err, __LINE__, NULL); + + /* Reset cosmo and redshift */ + free_parameters(&res->cosmo); + res->cosmo = copy_parameters(source->cosmo, err); forwardError(*err, __LINE__, NULL); + + free_redshift(&res->redshift); + res->redshift = copy_redshift(source->redshift, err); forwardError(*err, __LINE__, NULL); + + Nzbin = res->redshift->Nzbin; + Nzcorr = Nzbin * (Nzbin+1) / 2; + + res->tomo = source->tomo; + res->projection = source->projection; + res->reduced = source->reduced; + res->q_mag_size = source->q_mag_size; + + res->ia = source->ia; + res->ia_terms = res->ia_terms; + res->A_ia = source->A_ia; + + if (source->cosmo->nonlinear==halodm) { + res->hm = copy_parameters_hm(source->hm, err); forwardError(*err, __LINE__, NULL); + } else { + res->hm = NULL; + } + + /* TODO: Nzbin^2 -> Nzcorr should also work */ + res->Pshear = copy_interTable_arr(source->Pshear, Nzcorr, err); + forwardError(*err, __LINE__, NULL); + res->Pg1 = copy_interTable_arr(source->Pg1, Nzcorr, err); + forwardError(*err, __LINE__, NULL); + res->xiP = copy_interTable_arr(source->xiP, Nzcorr, err); + forwardError(*err, __LINE__, NULL); + res->xiM = copy_interTable_arr(source->xiM, Nzcorr, err); + forwardError(*err, __LINE__, NULL); + res->gamma = copy_interTable_arr(source->gamma, Nzcorr, err); + forwardError(*err, __LINE__, NULL); + res->map_poly = copy_interTable_arr(source->map_poly, Nzcorr, err); + forwardError(*err, __LINE__, NULL); + res->map_gauss = copy_interTable_arr(source->map_gauss, Nzcorr, err); + forwardError(*err, __LINE__, NULL); + + Ncoeff = NMAX_COSEBI * (NMAX_COSEBI + 5) / 2; + memcpy(res->c_cosebi, source->c_cosebi, sizeof(double) * Ncoeff); + res->psimin_cosebi = source->psimin_cosebi; + res->psimax_cosebi = source->psimax_cosebi; + res->N_cosebi = source->N_cosebi; + memcpy(res->w2_c0, source->w2_c0, Nzbin); + memcpy(res->w2_c1, source->w2_c1, Nzbin); + + return res; +} + +void read_cosmological_parameters_lens(cosmo_lens **self, FILE *F, error **err) +{ + cosmo_lens *tmp; + struct { char cosmo_file[128], nofz_file[128], stomo[128], sprojection[128], + sreduced[128], sia[128], sia_terms[128]; } tmp2; + config_element c = {0, 0.0, ""}; + int j; + FILE *FD; + + tmp = set_cosmological_parameters_to_default_lens(err); + forwardError(*err, __LINE__,); + + + /* Cosmological parameters */ + CONFIG_READ_S(&tmp2, cosmo_file, s, F, c, err); + if (strcmp(tmp2.cosmo_file, "-")!=0) { + FD = fopen_err(tmp2.cosmo_file, "r", err); + forwardError(*err, __LINE__,); + } else { + FD = F; + } + read_cosmological_parameters(&tmp->cosmo, FD, err); + forwardError(*err, __LINE__,); + if (strcmp(tmp2.cosmo_file, "-")!=0) fclose(FD); + + + /* Redshift parameters */ + CONFIG_READ_S(&tmp2, nofz_file, s, F, c, err); + if (strcmp(tmp2.nofz_file, "-")!=0) { + FD = fopen_err(tmp2.nofz_file, "r", err); + forwardError(*err, __LINE__,); + } else { + FD = F; + } + read_redshift_info(&(tmp->redshift), FD, err); + forwardError(*err, __LINE__,); + if (strcmp(tmp2.nofz_file, "-")!=0) fclose(FD); + + + /* Lensing parameters */ + CONFIG_READ_S(&tmp2, stomo, s, F, c, err); + STRING2ENUM(tmp->tomo, tmp2.stomo, tomo_t, stomo_t, j, Ntomo_t, err); + + CONFIG_READ_S(&tmp2, sprojection, s, F, c, err); + STRING2ENUM(tmp->projection, tmp2.sprojection, projection_t, sprojection_t, j, Nprojection_t, err); + + CONFIG_READ_S(&tmp2, sreduced, s, F, c, err); + STRING2ENUM(tmp->reduced, tmp2.sreduced, reduced_t, sreduced_t, j, Nreduced_t, err); + if (tmp->reduced==reduced_K10) { + CONFIG_READ(tmp, q_mag_size, d, F, c, err); + } + + CONFIG_READ_S(&tmp2, sia, s, F, c, err); + STRING2ENUM(tmp->ia, tmp2.sia, ia_t, sia_t, j, Nia_t, err); + switch (tmp->ia) { + + case ia_HS04 : + CONFIG_READ_S(&tmp2, sia_terms, s, F, c, err); + STRING2ENUM(tmp->ia_terms, tmp2.sia_terms, ia_terms_t, sia_terms_t, j, Nia_terms_t, err); + CONFIG_READ(tmp, A_ia, d, F, c, err); + break; + + default : + tmp->ia_terms = ia_undef; + tmp->A_ia = 0.0; + break; + + } + + + *self = copy_parameters_lens_only(tmp, err); + forwardError(*err, __LINE__,); + + free_parameters_lens(&tmp); +} + +/* ============================================================ * + * Updates cosmo_lens structure apres from avant: Deletes pre * + * calculated tables if corresponding parameters have changed, * + * so tables will be re-calculated when needed. * + * ============================================================ */ +void updateFrom_lens(cosmo_lens *avant, cosmo_lens *apres, error **err) +{ + int Nzbin, Nzcorr; + + Nzbin = apres->redshift->Nzbin; + Nzcorr = Nzbin*(Nzbin+1)/2; + + if (change_g_source(avant,apres)) { + del_interTable_arr(&(apres->g_source), Nzbin); + } + + if (change_Pshear(avant,apres)) { + del_interTable_arr(&(apres->Pshear), Nzcorr); + del_interTable_arr(&(apres->Pg1), Nzcorr); + del_interTable_arr(&(apres->xiP), Nzcorr); + del_interTable_arr(&(apres->xiM), Nzcorr); + del_interTable_arr(&(apres->gamma), Nzcorr); + del_interTable_arr(&(apres->map_poly), Nzcorr); + del_interTable_arr(&(apres->map_gauss), Nzcorr); + free(apres->c_cosebi); apres->c_cosebi = NULL; + free(apres->w2_c0); + free(apres->w2_c1); + } + + updateFrom(avant->cosmo, apres->cosmo, err); + forwardError(*err, __LINE__,); + + updateFrom_redshift(avant->redshift, apres->redshift); + + if (avant->cosmo->nonlinear==halodm) { + updateFrom_hm(avant->hm, apres->hm, err); + forwardError(*err, __LINE__,); + } +} + + +/* Copies parameters from model->cosmo to model->hm->cosmo if * + * cosmo->nonlinear==halomodel */ +void copy_parameters_lenshm_cosmo(cosmo_lens *model, error **err) +{ + cosmo *new; + + if (model->cosmo->nonlinear!=halodm) return; + + new = copy_parameters(model->cosmo, err); forwardError(*err, __LINE__,); + free_parameters(&model->hm->cosmo); + model->hm->cosmo = new; +} + +#define NZBIN 1 +#define NNZ 5 +cosmo_lens *set_cosmological_parameters_to_default_lens(error **err) +{ + int Nnz[NZBIN] = {NNZ}; + double par_nz[NZBIN*NNZ] = {0.0, 6.0, 0.612, 8.125, 0.62}; + nofz_t nofz[NZBIN] = {ymmk}; + photz_t photz[NZBIN] = {photz_no}; + cosmo_lens *res; + + res = init_parameters_lens(0.25, 0.75, -1.0, 0.0, NULL, 0, 0.70, 0.044, 0.0, 0.0, 0.80, 1.0, + NZBIN, Nnz, nofz, photz, par_nz, smith03, eisenhu, growth_de, linder, + norm_s8, tomo_all, limber, reduced_none, 0.0, ia_none, ia_undef, 0.0, err); + forwardError(*err, __LINE__, NULL); + + return res; +} +#undef NNZ +#undef NZBIN + +void free_parameters_lens(cosmo_lens** self) +{ + cosmo_lens *s; + int Nzbin, Nzcorr; + + s = *self; + + Nzbin = s->redshift->Nzbin; + Nzcorr = Nzbin*(Nzbin+1)/2; + del_interTable_arr(&s->g_source, Nzbin); + + del_interTable_arr(&s->Pshear, Nzcorr); + del_interTable_arr(&s->Pg1, Nzcorr); + del_interTable_arr(&s->xiP, Nzcorr); + del_interTable_arr(&s->xiM, Nzcorr); + del_interTable_arr(&s->gamma, Nzcorr); + del_interTable_arr(&s->map_poly, Nzcorr); + del_interTable_arr(&s->map_gauss, Nzcorr); + free(s->c_cosebi); s->c_cosebi = NULL; + + if (s->hm!=NULL) { + free_parameters_hm(&s->hm); + } + + free_redshift(&s->redshift); + free_parameters(&s->cosmo); + + free(s); + s = NULL; +} + +void dump_param_lens(cosmo_lens* self, FILE *F, int wnofz, error **err) +{ + dump_param(self->cosmo, F); + if (wnofz) dump_redshift(self->redshift, F, err); + forwardError(*err, __LINE__,); + fprintf(F, "# (s)tomo = (%s)%d (s)projection = (%s)%d (s)reduced=(%s)%d q_mag_size=%g (s)ia=(%s)%d (s)ia_terms=(%s)%d A_ia=%g\n", + stomo_t(self->tomo), self->tomo, sprojection_t(self->projection), self->projection, + sreduced_t(self->reduced), self->reduced, self->q_mag_size, + sia_t(self->ia), self->ia, sia_terms_t(self->ia_terms), self->ia_terms, + self->A_ia); + if (self->cosmo->nonlinear==halodm) dump_param_only_hm(self->hm, F); +} + +double int_for_g(double aprime, void *intpar, error **err) +{ + cosmo_lensANDintANDdouble* cANDdANDe; + cosmo_lens* self; + double ww, wprime, res, fKwp, a; + int n_bin; + + cANDdANDe = (cosmo_lensANDintANDdouble*)intpar; + self = cANDdANDe->self; + a = cANDdANDe->r; + n_bin = cANDdANDe->i; + + if (aprime>=a) return 0.0; + + ww = w(self->cosmo, a, 0, err); forwardError(*err, __LINE__, 0); + wprime = w(self->cosmo, aprime, 0, err); forwardError(*err, __LINE__, 0); + res = prob(self->redshift, 1.0/aprime-1.0, n_bin, err); forwardError(*err, __LINE__, 0); + res *= f_K(self->cosmo, wprime-ww, err)/dsqr(aprime); forwardError(*err, __LINE__, 0); + fKwp = f_K(self->cosmo, wprime, err); forwardError(*err, __LINE__, 0); + + return res/fKwp; +} + +int change_g_source(cosmo_lens* avant, cosmo_lens* apres) +{ + if (change_w(avant->cosmo, apres->cosmo) || NCOEQ(avant->cosmo, apres->cosmo, N_a)) + return 1; + if (change_prob(avant->redshift, apres->redshift)) + return 1; + return 0; +} + +/* ============================================================ * + * See S98 2.9. * + * Returns integral (dimensionless) * + * int dw' n(w') f(w'-w)/f(w') = int da' n(a') f(w'-w)/f(w') * + * = int da' n(z') / a'^2 f(w'-w)/f(w') * + * ============================================================ */ +double g_source(cosmo_lens* self, double a, int n_bin, error **err) +{ + double *table, res; + double da = 0.0; + double aa, wdelta, fKz0, wa; + int i, nn; + cosmo_lensANDintANDdouble intpar; + + if (self->g_source==NULL) { + da = (1.0-self->cosmo->a_min)/(self->cosmo->N_a-1.0); + self->g_source = init_interTable_arr(self->redshift->Nzbin, self->cosmo->N_a, + self->cosmo->a_min, 1.0, da, 0.0, 0.0, err); + forwardError(*err,__LINE__,0); + + for (nn=0; nnredshift->Nzbin; nn++) { + + table = self->g_source[nn]->table; + table[0] = 0.0; + aa = self->cosmo->a_min+da; + intpar.self = self; + intpar.i = nn; + + for (i=1;icosmo->N_a-1;i++,aa+=da) { + intpar.r = aa; + /* Precision decreased from 1e-6 to 1e-5 */ + table[i] = sm2_qromberg(int_for_g, (void*)&intpar, self->cosmo->a_min, aa, 1.0e-5, err); + //table[i] = sm2_qromberg(int_for_g, (void*)&intpar, self->cosmo->a_min, aa, 1.0e-6, err); + forwardError(*err, __LINE__, 0.0); + } + table[self->cosmo->N_a-1] = 1.0; + } + } + + if (self->redshift->nofz[n_bin]==single) { + aa = 1.0/(1.0+get_zmin(self->redshift, n_bin)); /* zmin = zmax = z0 */ + if (aa>=a) return 0.0; + wdelta = w(self->cosmo, aa, 0, err); forwardError(*err,__LINE__,0); + wa = w(self->cosmo, a, 0, err); forwardError(*err,__LINE__,0); + res = f_K(self->cosmo, wdelta-wa, err); forwardError(*err,__LINE__,0); + fKz0 = f_K(self->cosmo, wdelta, err); forwardError(*err,__LINE__,0); + + return res/fKz0; + } + + res = interpol_wr(self->g_source[n_bin], a, err); + forwardError(*err,__LINE__,0); + + return res; +} + +/* lens efficiency */ +double G(cosmo_lens* self, double a, int n_bin, error **err) +{ + double res; + + res = 1.5/dsqr(R_HUBBLE)*(self->cosmo->Omega_m+self->cosmo->Omega_nu_mass)/a; + res *= g_source(self, a, n_bin, err); + forwardError(*err, __LINE__, 0); + + return res; +} + +/* lens efficiency bis, for Euclid IST code comparison */ +double G_bis(cosmo_lens* self, double a, int n_bin, error **err) +{ + double res; + + res = 1.5/dsqr(R_HUBBLE)*(self->cosmo->Omega_m+self->cosmo->Omega_nu_mass)/a; + res *= w(self->cosmo, a, 0, err); forwardError(*err, __LINE__, 0); + res *= g_source(self, a, n_bin, err); forwardError(*err, __LINE__, 0); + + return res; +} + +/* Returns ellbar^2(ell, 2)=(ell-1)ell(ell+1)(ell+2) (spherical) or ell^4 (flat-sky) */ +double prefactor_C_shear(double ell, projection_t projection, error **err) +{ + double f; + + switch (projection) { + case limber: case limber_la08: case limber_la08_hyb: case limber2_la08: case limber2_la08_hyb: + f = ell * ell * ell * ell; + break; + case limber_la08_sph: case limber2_la08_sph: case full: + f = (ell - 1.0) * ell * (ell + 1.0) * (ell + 2.0); + break; + default: + *err = addErrorVA(lensing_unknown, "Unknown projection flag %d", *err, __LINE__, projection); + f = -1.0; + } + + return f; +} + +/* Returns nu=ell (standard Limber) or (ell+1/2) (extended Limber) */ +double nu_of_ell(double ell, projection_t projection, error **err) +{ + double f; + + switch (projection) { + case limber: + f = ell; + break; + case limber_la08: case limber_la08_hyb: case limber_la08_sph: case limber2_la08: + case limber2_la08_hyb: case limber2_la08_sph: case full: + /* LoVerde & Afshordi (2008) */ + f = ell + 0.5; + break; + //case full: + //*err = addErrorVA(lensing_unknown, "Invalid projection flag %d(%s) here", + //*err, __LINE__, projection, sprojection_t(projection)); + //f = -1.0; + default: + *err = addErrorVA(lensing_unknown, "Unknown projection flag %d", *err, __LINE__, projection); + f = -1.0; + } + + return f; +} + +/* Kernel function for second-order Limber approximation, return * + * one evaluation. */ +double w_limber2_one(cosmo_lens *self, double wa, double a, int n_bin, error **err) +{ + double res; + + res = sqrt(wa); + res /= dsqr(wa); + res /= a; + res *= g_source(self, a, n_bin, err); + forwardError(*err, __LINE__, -1.0); + + // P_NL not in w_limber + res *= D_plus(self->cosmo, a, 1, err); + forwardError(*err,__LINE__, -1.0); + + // Replace the above two lines with the following two + // if P_NL in w_limber + //res *= sqrt(P_NL_tot(self, a, nu/wa, err)); + //forwardError(*err,__LINE__, -1.0); + + return res; +} + +/* Kernel function for second-order Limber approximation. * + * If a<0 it is recalculated as w^-1(a) * + * If interp=1 returns a power-law fit */ +#define wmin 0.001 +/* The function w_limber2 deviates from a power law for w > a few hundred. */ +#define wmax 500.0 +double w_limber2(cosmo_lens *self, double wa, double a, int n_bin, int interp, error **err) +{ + int N_w; + double *w_arr, *aa, *wl2; + double cov00, cov01, cov11, sumsq; + int i, nn; + + double res, aaa; + + if (interp == 1) { + if (self->w2_c0 == NULL) { + + self->w2_c0 = malloc_err(sizeof(double) * self->redshift->Nzbin, err); + forwardError(*err, __LINE__, -1.0); + self->w2_c1 = malloc_err(sizeof(double) * self->redshift->Nzbin, err); + forwardError(*err, __LINE__, -1.0); + + /* Log-interpolation */ + N_w = 200000; + + w_arr = malloc_err(N_w * sizeof(double), err); + forwardError(*err, __LINE__, -1.0); + aa = malloc_err(N_w * sizeof(double), err); + forwardError(*err, __LINE__, -1.0); + wl2 = malloc_err(N_w * sizeof(double), err); + forwardError(*err, __LINE__, -1.0); + + for (nn=0; nnredshift->Nzbin; nn++) { + + for (i=0; icosmo, exp(w_arr[i]), err); + forwardError(*err, __LINE__, -1.0); + } + for (i=0; i 0) { + wl2[i] = log(wl2[i]); + } else { + wl2[i] = -30.0; + } + } + + gsl_fit_linear(w_arr, 1, wl2, 1, N_w, &self->w2_c0[nn], &self->w2_c1[nn], &cov00, &cov01, &cov11, &sumsq); + + } + + free(w_arr); + free(aa); + free(wl2); + } + + // linear fit + res = self->w2_c0[n_bin] + self->w2_c1[n_bin]*log(wa); + + res = exp(res); + return res; + + } + + /* No interpolation */ + if (a<0) { + aaa = a_of_w(self->cosmo, wa, err); + forwardError(*err, __LINE__, -1.0); + } else { + aaa = a; + } + + + res = w_limber2_one(self, wa, aaa, n_bin, err); + forwardError(*err, __LINE__, -1.0); + + return res; +} +#undef wmin +#undef wmax + +/* 2nd and 3rd derivatives of 2nd-order Limber approximation kernel */ +double deriv_w_23(cosmo_lens *self, double wa, int n_bin, double *w2, double *w3, error **err) +{ + double h, wh, w1, wmax; + double fh[7], a; + int i; + + h = wa / 100; // Results are insensitive to this value, 10 .. 200 works well also + + /* Make sure argument is not smaller 0 */ + while (wa - 3.0*h < 0) { + h /= 1.1; + } + wmax = w(self->cosmo, self->cosmo->a_min, n_bin, err); + forwardError(*err, __LINE__, -1.0); + while (wa + 3.0*h > wmax) { + h /= 1.1; + } + + for (i=0; i<7; i++) { + wh = wa + (i-3.0)*h; + a = a_of_w(self->cosmo, wh, err); forwardError(*err, __LINE__, -1.0); + fh[i] = w_limber2(self, wh, a, n_bin, 1, err); forwardError(*err, __LINE__, -1.0); + } + + /* 7-point stencil derivatives. Since now w is a power-law fit, maybe this is overkill? */ + + /* f'(x) ~ (-f(x-3h) + 9f(x-2h) - 45f(x-h) + 45f(x+h) - 9f(x+2h) + f(x+3h))/(60h) */ + w1 = (-fh[0] + 9.0*fh[1] - 45.0*fh[2] + 45.0*fh[4] - 9.0*fh[5] + fh[6]) / (60.0*h); + + /* f''(x) ~ (2f(x-3h) - 27f(x-2h) + 270f(x-h) - 490f(x) + 270f(x+h) - 27f(x+2h) + 2f(x+3h) / (180h^2) */ + *w2 = (2.0*fh[0] - 27.0*fh[1] + 270.0*fh[2] - 490.0*fh[3] + 270.0*fh[4] - 27.0*fh[5] + 2.0*fh[6]) / (180.0*h*h); + + /* f'''(x) ~ (f(x-3h) - 8f(x-2h) + 13f(x-h) - 13f(x+h) + 8f(x+2h) - f(x+3h) / (8h^3) */ + *w3 = (fh[0] - 8.0*fh[1] + 13.0*fh[2] - 13.0*fh[4] + 8.0*fh[5] - fh[6]) / (8.0*h*h*h); + + + /* MK: Uncomment the following for approximation of constant D/a (Van de Rijt 2012) */ + //a = a_of_w(self->cosmo, wa, err); forwardError(*err, __LINE__, -1.0); + //w1 *= D_plus(self->cosmo, a, 1, err) / a; forwardError(*err, __LINE__, -1.0); + //*w2 *= D_plus(self->cosmo, a, 1, err) / a; forwardError(*err, __LINE__, -1.0); + //*w3 *= D_plus(self->cosmo, a, 1, err) / a; forwardError(*err, __LINE__, -1.0); + + return w1; +} + + +// Integration over z, test for Euclid summer school 2016 */ +double int_for_p_z(double z, void *intpar, error **err) +{ + double hoverh0, s, fKw, f, a, res, wa, gg, a0, w0; + int i_bin, j_bin; + cosmo_lensANDiid* cANDiid; + cosmo_lens* self; + + + cANDiid = (cosmo_lensANDiid*)intpar; + self = cANDiid->self; + s = cANDiid->r; + i_bin = cANDiid->i; + j_bin = cANDiid->j; + + a = 1.0 / (1.0 + z); + + wa = w(self->cosmo, a, 0, err); forwardError(*err, __LINE__, -1); + fKw = f_K(self->cosmo, wa, err); forwardError(*err, __LINE__, -1); + + f = nu_of_ell(s, self->projection, err); forwardError(*err, __LINE__, -1); + f = f/fKw; + + hoverh0 = self->cosmo->Omega_m * pow(1.0 + z, 3) + self->cosmo->Omega_de; + hoverh0 = sqrt(hoverh0); + + a0 = 1.0 / (1.0 + 0.7); + w0 = w(self->cosmo, a0, 0, err); forwardError(*err, __LINE__, -1); + gg = (w0 - wa) / w0; + gg = gg*gg; + + if (fabs(gg) < EPSILON1) return 0.0; + + res = gg*(1+z)*(1+z)/hoverh0*R_HUBBLE; + res *= P_NL_tot(self, a, f, err); forwardError(*err,__LINE__, -1.0); + + testErrorRetVA(!isfinite(res), ce_overflow, "Integrand not finite at a=%g", *err, __LINE__, -1.0, a); + + return res; +} + +/* ============================================================ * + * dP_kappa/da. Integrand for P_kappa. * + * ============================================================ */ +double int_for_p_2(double a, void *intpar, error **err) +{ + double hoverh0, asqr, s, fKw, f, res, wa, gi, gj, gg; + double res2, w2_i, w2_j, w3_i, w3_j, dp, nu; + int i_bin, j_bin; + cosmo_lensANDiid* cANDiid; + cosmo_lens* self; + + + cANDiid = (cosmo_lensANDiid*)intpar; + self = cANDiid->self; + s = cANDiid->r; + i_bin = cANDiid->i; + j_bin = cANDiid->j; + + testErrorRet(a>=1.0, ce_overflow, "Scale factor a>=1", *err, __LINE__, -1); + + asqr = dsqr(a); + wa = w(self->cosmo, a, 0, err); forwardError(*err, __LINE__, -1); + fKw = f_K(self->cosmo, wa, err); forwardError(*err, __LINE__, -1); + + nu = nu_of_ell(s, self->projection, err); forwardError(*err, __LINE__, -1); + f = nu/fKw; + + hoverh0 = Esqr(self->cosmo, a, 0, err); forwardError(*err, __LINE__,-1); + hoverh0 = sqrt(hoverh0); + + gi = g_source(self, a, i_bin, err); forwardError(*err, __LINE__, -1); + if (i_bin == j_bin) { + gj = gi; + } else { + gj = g_source(self, a, j_bin, err); forwardError(*err, __LINE__, -1); + } + gg = gi * gj; + if (fabs(gg) < EPSILON1) return 0.0; + + /* dw = da/a^2 c/H_0 H_0/h(a) * + * = da/a^2 R_HUBBLE / hoverh0 */ + res = gg/(asqr*asqr)/hoverh0*R_HUBBLE; + res *= P_NL_tot(self, a, f, err); forwardError(*err,__LINE__, -1.0); + + + /* Add 2nd-order Limber term, LoVerde & Afshordi (2008) eq (12) */ + if (self->projection == limber2_la08 || self->projection == limber2_la08_hyb || self->projection == limber2_la08_sph) { + + res2 = -1.0 / (nu*nu); + res2 *= a * wa * sqrt(wa) * dsqr(wa); + + deriv_w_23(self, wa, i_bin, &w2_i, &w3_i, err); + forwardError(*err, __LINE__, -1.0); + if (i_bin == j_bin) { + w2_j = w2_i; + w3_j = w3_i; + } else { + deriv_w_23(self, wa, j_bin, &w2_j, &w3_j, err); + forwardError(*err, __LINE__, -1.0); + } + res2 *= 0.5*(w2_i/gi + w2_j/gj + wa/3.0 * (w3_i/gi + w3_j/gj)); + + res2 *= gg/(asqr*asqr)/hoverh0*R_HUBBLE; + + /* Approximation for small ell, use of f_s(chi) [K+17 eq. 41] */ + dp = D_plus(self->cosmo, a, 1, err); forwardError(*err, __LINE__, -1.0); + res2 /= dp; + res2 *= P_NL_tot(self, a, f, err); forwardError(*err,__LINE__, -1.0); + + /* For use of f(k, chi) [K+17 eq. 35]: Replace the last three lines by the following line */ + //res2 *= sqrt(P_NL_tot(self, a, f, err)); forwardError(*err,__LINE__, -1.0); + + res = res + res2; + + } + + testErrorRetVA(!isfinite(res), ce_overflow, "Integrand not finite at a=%g", *err, __LINE__, -1.0, a); + + return res; +} + +/* ============================================================ * + * Non-linear intrinsic alignment model * + * * + * C1 factor included in Pkappa with IGfact * + * Includes extra powers of a outlined in Joachimi et al 2010 * + * and Hirata and Seljak erratum 2010 * + * ============================================================ */ + + +/* ============================================================ * + * Integrand for GI power spectrum, HS04 model. BK08 eqs 4, 12 * + * ============================================================ */ +double int_for_p_GI(double a, void *intpar, error **err) +{ + double hoverh0, asqr, s, fKw, f, res, wa, n, g, gn, Om_o_D; + int i_bin, j_bin; + cosmo_lensANDiid* cANDiid; + cosmo_lens* self; + + cANDiid = (cosmo_lensANDiid*)intpar; + self = cANDiid->self; + s = cANDiid->r; + i_bin = cANDiid->i; + j_bin = cANDiid->j; + + testErrorRet(a>=1.0, ce_overflow, "Scale factor a>=1", *err, __LINE__, -1); + + asqr = dsqr(a); /* a*a */ + wa = w(self->cosmo, a, 0, err); forwardError(*err, __LINE__, -1); + fKw = f_K(self->cosmo, wa, err); forwardError(*err, __LINE__, -1); + f = nu_of_ell(s, self->projection, err); forwardError(*err, __LINE__, -1); + f = f/fKw; + + hoverh0 = Esqr(self->cosmo, a, 0, err); forwardError(*err, __LINE__,-1); + hoverh0 = sqrt(hoverh0); + + Om_o_D = self->cosmo->Omega_m/D_plus(self->cosmo, a, 1, err); forwardError(*err,__LINE__,0) + + g = g_source(self, a, i_bin, err); forwardError(*err, __LINE__, -1); + n = prob(self->redshift, 1.0/a-1.0, j_bin, err); forwardError(*err, __LINE__, -1); + + gn = g*n; + + g = g_source(self, a, j_bin, err); forwardError(*err, __LINE__, -1); + n = prob(self->redshift, 1.0/a-1.0, i_bin, err); forwardError(*err, __LINE__, -1); + + res = (gn + g*n)/fKw; + + res *= Om_o_D; + + //HS04 + //res *= 1.0/a/asqr/hoverh0*R_HUBBLE; + //HS10 -> * a^2 + //res *= 1.0/a/hoverh0*R_HUBBLE; + //BJ10 + res *= 1.0/a/asqr; + + res *= P_NL_tot(self, a, f, err); forwardError(*err,__LINE__, -1); + + testErrorRetVA(!isfinite(res), ce_overflow, "Integrand not finite at a=%g", *err, __LINE__, -1.0, a); + + return res; +} + +/* ============================================================ * + * Integrand for II power spectrum, HS04 model. BK08 eqs. 5, 7, * + * BJ10 eq B7. * + * ============================================================ */ +double int_for_p_II(double a, void *intpar, error **err) +{ + double hoverh0, asqr, s, fKw, f, res, wa, nn, Om_o_D; + int i_bin, j_bin; + cosmo_lensANDiid* cANDiid; + cosmo_lens* self; + + cANDiid = (cosmo_lensANDiid*)intpar; + self = cANDiid->self; + s = cANDiid->r; + i_bin = cANDiid->i; + j_bin = cANDiid->j; + + testErrorRet(a>=1.0, ce_overflow, "Scale factor a>=1", *err, __LINE__, -1); + + asqr = dsqr(a); /* a*a */ + wa = w(self->cosmo, a, 0, err); forwardError(*err, __LINE__, -1); + fKw = f_K(self->cosmo, wa, err); forwardError(*err, __LINE__, -1); + f = nu_of_ell(s, self->projection, err); forwardError(*err, __LINE__, -1); + f = f/fKw; + + hoverh0 = Esqr(self->cosmo, a, 0, err); forwardError(*err, __LINE__,-1); + Om_o_D = self->cosmo->Omega_m/D_plus(self->cosmo, a, 1, err); forwardError(*err,__LINE__,0); + + hoverh0 = sqrt(hoverh0); + + nn = prob(self->redshift, 1.0/a-1.0, i_bin, err); forwardError(*err, __LINE__, -1); + nn *= prob(self->redshift, 1.0/a-1.0, j_bin, err); forwardError(*err, __LINE__, -1); + + res = Om_o_D/fKw ; + res = dsqr(res); + + // HS04: + // res *= nn/asqr/hoverh0*R_HUBBLE; + // HS10 -> * a^4 + //res *= nn*asqr/hoverh0*R_HUBBLE; + // BJ10 + + res *= nn/asqr*hoverh0/R_HUBBLE; + res *= P_NL_tot(self, a, f, err); forwardError(*err,__LINE__, -1); + + testErrorRet(!isfinite(res), ce_overflow, "Value not finite", *err, __LINE__, -1); + + return res; +} + + +/* ============================================================ * + * Intrinsic alignment model for , Semboloni et al. * + * 2008, 2010. * + * ============================================================ */ + + +/* ============================================================ * + * Total (dark+baryon+neutrino) power spectrum. * + * ============================================================ */ +double P_NL_tot(cosmo_lens *self, double a, double k, error **err) +{ + double p_cb, p_tot; + + /* Matter power spectrum */ + switch (self->cosmo->nonlinear) { + + case linear : case pd96 : case smith03 : case smith03_de : case coyote10 : + case coyote13 : case smith03_revised : + p_cb = P_NL(self->cosmo, a, k, err); + forwardError(*err, __LINE__, -1.0); + break; + + case halodm : + p_cb = P1h_dm(self->hm, a, k, err); + forwardError(*err, __LINE__, -1.0); + p_cb += P2h_dm(self->hm, a, k, err); + forwardError(*err, __LINE__, -1.0); + break; + + default : + *err = addErrorVA(ce_unknown, "Unknown nonlinear flag %d", *err, __LINE__, self->cosmo->nonlinear); + return -1.0; + + } + + switch (self->cosmo->transfer) { + case bbks: case eisenhu: case eisenhu_osc: + p_tot = p_cb; + break; + + default : + *err = addError(ce_transfer, "wrong transfer type", *err, __LINE__); + return 0; + } + + return p_tot; +} + +int change_Pshear(cosmo_lens* avant, cosmo_lens* apres) +{ + if (change_w(avant->cosmo, apres->cosmo) || NCOEQ(avant->cosmo, apres->cosmo, N_a)) return 1; + if (change_Tsqr(avant->cosmo, apres->cosmo)) return 1; + if (change_prob(avant->redshift, apres->redshift)) return 1; + if (change_P_NL(avant->cosmo, apres->cosmo)) return 1; + if (NCOEQ(avant, apres, tomo)) return 1; + if (NCOEQ(avant, apres, projection)) return 1; + if (NCOEQ(avant, apres, reduced)) return 1; + if (NCOEQ(avant, apres, ia)) return 1; + if (NCOEQ(avant, apres, ia_terms)) return 1; + if (NCOCLOSE(avant, apres, A_ia)) return 1; + + return 0; +} + +/* ============================================================ * + * Return shear (cross-)power spectrum for spherical harmonics * + * multipole ell. See Pshear for flat-sky and continuous ell. * + * ============================================================ */ +double Pshear_spherical(cosmo_lens *self, int ell, int i_bin, int j_bin, error **err) +{ + double res, chi_max, prefactor, K; + gsl_error_handler_t *old_handler; + cosmo_lensANDiid intpar; + + if (self->projection != full) { + + res = Pshear(self, (double)ell, i_bin, j_bin, err); + forwardError(*err, __LINE__, -1.0); + + } else { + + K = self->cosmo->Omega_m + self->cosmo->Omega_nu_mass + self->cosmo->Omega_de - 1.0; + testErrorRetVA(fabs(K)>EPSILON, ce_omega, + "lensing projection=full only implemented for flat Universe; K=%.10e, %.10e", + *err, __LINE__, -1.0, K, EPSILON); + + intpar.self = self; + intpar.i = i_bin; + intpar.j = j_bin; + intpar.ell = ell; + intpar.err = err; + + chi_max = w(self->cosmo, self->cosmo->a_min, 0, err); + forwardError(*err, __LINE__, -1.0); + intpar.c = chi_max; + + old_handler = gsl_set_error_handler_off(); + prefactor = 9.0/4.0*dsqr((self->cosmo->Omega_m+self->cosmo->Omega_nu_mass)/R_HUBBLE/R_HUBBLE); + + res = prefactor * int_over_P_kappa_full(self, (void*)&intpar); + forwardError(*err, __LINE__, -1.0); + gsl_set_error_handler(old_handler); + + testErrorRetVA(!isfinite(res), ce_overflow, "Power spectrum P(l=%g)^{%d%d} not finite", + *err, __LINE__, -1.0, ell, i_bin, j_bin); + } + + return res; +} + +double Pshear_L2_Rijt(cosmo_lens *self, int ell, error **err) +{ + double chi, dchi, chi_S, a_S, nu, res, chi_max, dp, prefactor, k, L2, aa, z_S; + double w2, w3; + + z_S = 1.0; + a_S = 1.0/(1.0 +z_S); + nu = ell + 0.5; + + chi_S = w(self->cosmo, a_S, 0, err); + forwardError(*err, __LINE__, -1.0); + prefactor = 9.0/4.0*dsqr((self->cosmo->Omega_m+self->cosmo->Omega_nu_mass)/R_HUBBLE/R_HUBBLE); + + dchi = 0.1; + chi_max = w(self->cosmo, self->cosmo->a_min, 0, err); + forwardError(*err, __LINE__, -1.0); + for (chi=dchi,res=0.0; chicosmo, chi, err); + forwardError(*err, __LINE__, -1.0); + dp = D_plus(self->cosmo, aa, 1, err); + forwardError(*err, __LINE__, -1.0); + + //L2 = (chi_S - chi) / (chi*chi_S); + L2 = g_source(self, aa, 0, err)/ chi; + forwardError(*err, __LINE__, -1.0); + + L2 *= pow(chi, 5.0/2.0); + + /* f'' + chi/3 f''' */ + //L2 *= -1.0/8.0 * pow(chi, -5.0/2.0) * (5.0 / chi + 1.0 / chi_S) * dp/aa; + deriv_w_23(self, chi, 0, &w2, &w3, err); + forwardError(*err, __LINE__, -1.0); + L2 *= (w2 + chi/3.0 * w3); + + L2 /= -nu*nu; + L2 *= dp/aa; + + /* Poisson equation terms */ + k = nu / chi; + L2 *= prefactor / (pow(k, 4) * (aa*aa)); + + /* Time-indepenten power spectrum */ + L2 *= P_NL_tot(self, aa, k, err) / (dp*dp); + + res += L2 / (chi*chi) * (aa*aa); + forwardError(*err, __LINE__, -1.0); + } + + res *= dchi * (ell - 1.0) * ell * (ell + 1.0) * (ell + 2.0); + + /* Add L1 term, so this only makes sense for projection=limber_la08_sph (limber, limber_la08) */ + res += Pshear_spherical(self, ell, 0, 0, err); + forwardError(*err, __LINE__, -1.0); + + return res; +} + +/* ============================================================ * + * Returns the shear (cross-)power spectrum for Fourier * + * scale s redshift bins (i_bin,j_bin). Note that i_bin<=j_bin. * + * See S98, eq. (3.4). Extrapolates outside of [s_min; s_max]. * + * If self->reduced==K10, adds the first-order reduced-shear * + * correction according to K10. This correction is zero outside * + * of [ELL_MIN_REDUCED=0.1; ELL_MAX_REDUCED=2e5]. * + * ============================================================ */ +double Pshear(cosmo_lens* self, double s, int i_bin, int j_bin, error **err) +{ + double *table; + double ds, logsmin, logsmax, prefactor; + double ss, slog, f1, f2; + int i, Nzbin, Nzcorr, ii, jj; + cosmo_lensANDiid intpar; + + if (ss_max) return 0.0; + + testErrorRet(self->projection == full, lensing_spherical, + "Pshear (flat-sky case) not valid for projection = full, use Pshear_spherical instead", + *err, __LINE__, -1.0); + + /* Spherical prefactor ellbar(ell, 2) not defined (negative) for l<2 */ + if (self->projection == limber_la08_sph || self->projection == limber2_la08_sph) { + if (s<2) { + return 0.0; + } + } + + testErrorRet(i_bin>j_bin, lensing_tomoij, "Pshear_ij defined for i<=j", *err, __LINE__, -1.0); + + Nzbin = self->redshift->Nzbin; + Nzcorr = Nzbin*(Nzbin+1)/2; + if (self->Pshear==NULL) { + + logsmin = log(s_min); + logsmax = log(s_max); + ds = (logsmax - logsmin)/(N_s - 1.0); + prefactor = 9.0/4.0*dsqr((self->cosmo->Omega_m+self->cosmo->Omega_nu_mass)/R_HUBBLE/R_HUBBLE); + + self->Pshear = init_interTable_arr(Nzcorr, N_s, logsmin, logsmax, ds, 1.0, -3.0, err); + forwardError(*err, __LINE__, -1.0); + + for (ii=0; iitomo==tomo_auto_only && ii!=jj) continue; + if (self->tomo==tomo_cross_only && ii==jj) continue; + + table = self->Pshear[idx_zz(ii,jj,Nzbin,err)]->table; + intpar.self = self; + intpar.i = ii; + intpar.j = jj; + for (i=0,slog=logsmin; iia != ia_none && self->ia_terms != ia_only_II) { + table[i] += -1.0 * self->A_ia * sqrt(prefactor) * ia_c1_rho_crit + * int_over_P_kappa(self, int_for_p_GI, (void*)&intpar, err); + forwardError(*err, __LINE__, -1.0); + } + + /* GI */ + if (self->ia != ia_none && self->ia_terms != ia_only_GI) { + table[i] += dsqr(self->A_ia * ia_c1_rho_crit) + * int_over_P_kappa(self, int_for_p_II, (void*)&intpar, err); + forwardError(*err, __LINE__, -1.0); + } + + /* New 12/2016: Spherical and extended-case pre-factors. In standard flat-sky case the total prefactor is 1 */ + if (self->projection != limber_la08_hyb && self->projection != limber2_la08_hyb) { + table[i] *= prefactor_C_shear(ss, self->projection, err); + forwardError(*err, __LINE__, -1.0); + + table[i] /= dsqr(dsqr(nu_of_ell(ss, self->projection, err))); + forwardError(*err, __LINE__, -1.0); + } else { + /* limber[2]_la08_hyb: extended limber with nu=ell+1/2, however the total prefactor is 1 */ + } + + testErrorRetVA(!isfinite(table[i]), ce_overflow, "Power spectrum P(l=%g)^{%d%d} not finite", + *err, __LINE__, -1.0, ss, ii, jj); + } + + } + } + + } + + testErrorRetVA(self->tomo==tomo_auto_only && i_bin!=j_bin, lensing_tomoij, + "Cross-correlation (bins # %d,%d) not valid if tomo=tomo_auto_only", + *err, __LINE__, -1.0, i_bin, j_bin); + testErrorRetVA(self->tomo==tomo_cross_only && i_bin==j_bin, lensing_tomoij, + "Cross-correlation (bin #%d) not valid if tomo=tomo_auto_only", + *err, __LINE__, -1.0, i_bin); + + slog = log(s); + i = idx_zz(i_bin,j_bin,Nzbin, err); + forwardError(*err, __LINE__, -1.0); + f1 = interpol_wr(self->Pshear[i], slog, err); + forwardError(*err, __LINE__, -1.0); + + + /* Reduced-shear correction */ + if (self->reduced==reduced_K10) { + f2 = Pg1(self, s, i_bin, j_bin, err); + + /* If error: return only P_kappa */ + forwardError(*err, __LINE__, f1); + + /* Add reduced-shear correction to P_kappa */ + f1 += f2; + } + + return f1; +} + +/* Used by Hankel transform functions, here and in halomodel. Returns Pshear^{ij}(l). * + * If l outside of reduced-shear range, no error is forwarded. */ +double P_projected_kappa(void *self, double l, int i_bin, int j_bin, error **err) +{ + double res; + cosmo_lens *model; + + model = (cosmo_lens*)self; + + res = Pshear(model, l, i_bin, j_bin, err); + + /* If reduced-shear spectrum out of range: purge error. Return value is Pkappa. */ + if (model->reduced==reduced_K10 && getErrorValue(*err)==reduced_fourier_limit) { + purgeError(err); + } + + forwardError(*err, __LINE__, 0); + + return res; +} + +/* Integrand = chi g(chi) / a(chi) sqrt[P(k, chi)] j_ell(k chi) */ +double int_for_P_kappa_full_chi(double chi, void *intpar) +{ + cosmo_lens_par *par; + cosmo_lens *lens; + int i_bin, ell; + double res, k, a; + error **err; + + par = (cosmo_lens_par*)intpar; + lens = par->lens; + i_bin = par->i_bin; + k = par->k; + ell = par->ell; + err = par->err; + + a = a_of_w(lens->cosmo, chi, err); + forwardError(*err, __LINE__, -1.0); + + res = g_source(lens, a, i_bin, err) / a; + forwardError(*err, __LINE__, -1.0); + + res /= chi; + + res *= sqrt(P_NL_tot(lens, a, k, err)); + forwardError(*err, __LINE__, -1.0); + + res *= gsl_sf_bessel_jl(ell, k * chi); + + return res; +} + +double int_for_P_kappa_full_logk(double logk, void *intpar) +{ + double res, k, int_chi; + int n, status; + double eps_abs, eps_rel, res_err, chi_min, chi_max; + gsl_function F; + gsl_integration_workspace *w; + cosmo_lens_par par_out; + cosmo_lensANDiid *par_in; + error **err; + + k = exp(logk); + + par_in = (cosmo_lensANDiid*)intpar; + err = par_in->err; + par_out.lens = par_in->self; + par_out.i_bin = par_in->i; + par_out.k = k; + par_out.ell = par_in->ell; + par_out.err = err; + + n = 10000; + eps_abs = 1.5e+2 / dsqr(par_out.ell); + eps_rel = 1.0e-7 / dsqr(par_out.ell); + if (par_out.ell > 30) { + eps_abs /= pow(par_out.ell-30, 0.75); + eps_rel /= pow(par_out.ell-30, 0.75); + } + w = gsl_integration_workspace_alloc(n); + F.function = &int_for_P_kappa_full_chi; + F.params = &par_out; + + res = 1.0/k; + + chi_min = 0.0; + chi_max = par_in->c; + status = gsl_integration_qag(&F, chi_min, chi_max, eps_abs, eps_rel, n, GSL_INTEG_GAUSS61, w, &int_chi, &res_err); + forwardError(*err, __LINE__, -1.0); + if (status != 0) { + fprintf(stderr, + "gsl integration error in %s:%s:%d at ell=%d, return value=%d(%s), res, abserr, relerr=%g, %g, %g, exiting\n", + __FILE__, __func__, __LINE__, par_out.ell, status, gsl_strerror(status), int_chi, res_err, res_err/int_chi); + exit(hm_gsl_int); + } + + res *= int_chi; + + if (par_in->i == par_in->j) { + res *= int_chi; + } else { + par_out.i_bin = par_in->j; + status = gsl_integration_qag(&F, chi_min, chi_max, eps_abs, eps_rel, n, GSL_INTEG_GAUSS61, w, &int_chi, &res_err); + forwardError(*err, __LINE__, -1.0); + if (status != 0) { + fprintf(stderr, + "gsl integration error in %s:%s:%d at ell=%d, return value=%d(%s), res, abserr, relerr=%g, %g, %g, exiting\n", + __FILE__, __func__, __LINE__, par_out.ell, status, gsl_strerror(status), int_chi, res_err, res_err/int_chi); + exit(hm_gsl_int); + } + + res *= int_chi; + } + + gsl_integration_workspace_free(w); + + return res; +} + +double int_over_P_kappa_full(cosmo_lens *self, void *intpar) +{ + int n, status; + double eps_abs, eps_rel, res_err, res, ell; + double log_kmin, log_kmax; + gsl_function F; + gsl_integration_workspace *w; + error **err; + + ell = ((cosmo_lensANDiid*)intpar)->ell; + + n = 10000; + eps_abs = 1.5e+2 / dsqr(ell); + eps_rel = 1.0e-7 / dsqr(ell); + if (ell > 30) { + eps_abs /= pow(ell-30, 0.75); + eps_rel /= pow(ell-30, 0.75); + } + w = gsl_integration_workspace_alloc(n); + F.function = &int_for_P_kappa_full_logk; + F.params = intpar; + + log_kmin = log(k_min); + log_kmax = log(k_max); + + err = ((cosmo_lensANDiid*)intpar)->err; + status = gsl_integration_qag(&F, log_kmin, log_kmax, eps_abs, eps_rel, n, + GSL_INTEG_GAUSS61, w, &res, &res_err); + forwardError(*err, __LINE__, -1.0); + testErrorRetVA(status != 0, hm_gsl_int, + "gsl integration error at ell=%d, return value=%d(%s), res, abserr, relerr=%g, %g, %g", + *err, __LINE__, -1.0, + ((cosmo_lensANDiid*)intpar)->ell, status, gsl_strerror(status), res, res_err, res_err/res); + + gsl_integration_workspace_free(w); + + res *= 2.0 / pi; + + res *= prefactor_C_shear(ell, full, err); + forwardError(*err, __LINE__, -1.0); + + forwardError(*err, __LINE__, -1.0); + + return res; +} + +double int_over_P_kappa(cosmo_lens *self, funcwithpars int_for_p, void *intpar, error **err) +{ + double res, a, da; + +#ifndef fastxi + + *err = addError(lensing_fastxi, "The macro cosmo.h:fastxi is not defined", *err, __LINE__); + return -1.0; + + /* Romberg-integration (slow) */ + if (self->cosmo->a_min<0.7) { + res = sm2_qromberg(int_for_p, intpar, self->cosmo->a_min, 0.7, 1.0e-6, err); + forwardError(*err, __LINE__, -1.0); + res += sm2_qrombergo(int_for_p, intpar, 0.7, 1.0, sm2_midpntberg, 1.0e-7, err); + forwardError(*err, __LINE__, -1.0); + } else { + res = sm2_qrombergo(int_for_p, intpar, self->cosmo->a_min, 1.0, sm2_midpntberg, 1.0e-7, err); + forwardError(*err, __LINE__, -1.0); + } + +#else + + /* Riemann summation (fast) */ + da = (1.0 - self->cosmo->a_min)/(self->cosmo->N_a-1.0); + for (a=self->cosmo->a_min,res=0.0; a<1.0; a+=da) { + res += int_for_p(a, intpar, err); + forwardError(*err, __LINE__, -1.0); + } + res = res*da; + + /* MKDEBUG */ + /* + double z, dz; + dz = 0.01; + for (z=dz,res=0.0; z<0.7; z+=dz) { + res += int_for_p_z(z, intpar, err); + } + res = res*dz; + */ + +#endif + + return res; +} + +/* ============================================================ * + * Functions for reduced-shear correction (K10). * + * ============================================================ */ +const int parameter[M_PAR] = {p_dummy, p_Omegam, p_Omegade, p_w0de, p_Omegab, p_h100, p_sigma8, p_ns}; + + +/* Fiducial cosmology for reduced-shear */ +cosmo_lens *set_cosmological_parameters_lens_to_WMAP7(const redshift_t *nofz, tomo_t tomo, error **err) +{ + /* Parameters are: + Om Od w0 w1 h Ob Onu Neffnu s8 ns + nonlin transfer growth deparam norm amin + */ + + cosmo_lens *self; + + self = init_parameters_lens(0.27, 0.73, -1.0, 0.0, NULL, 0, 0.71, 0.045, 0.0, 0.0, 0.8, 0.96, + nofz->Nzbin, nofz->Nnz, nofz->nofz, nofz->photz, nofz->par_nz, + smith03, eisenhu, growth_de, linder, norm_s8, tomo, limber, reduced_none, 0.0, + ia_none, ia_undef, 0.0, err); + forwardError(*err, __LINE__, NULL); + + return self; +} + +/* Returns a pointed to the parameter corresponding to type par. * + * Note: don't dereference the result before forwardError, in * + * case of error a NULL pointer is returned. */ +double *par_to_pointer(cosmo *self, par_t par, error **err) +{ + double *p; + + switch (par) { + case p_Omegam : + p = &(self->Omega_m); + break; + case p_sigma8 : + //p = &(self->normalization); + // New v2.6. normalization could be A_S. + p = &(self->sigma_8); + break; + case p_Omegade : + p = &(self->Omega_de); + break; + case p_w0de : + p = &(self->w0_de); + break; + case p_h100 : + p = &(self->h_100); + break; + case p_ns : + p = &(self->n_spec); + break; + case p_Omegab : + p = &(self->Omega_b); + break; + default : + *err = addErrorVA(math_unknown, "Unknown par_t %d", *err, __LINE__, par); + return NULL; + } + + return p; +} + +#define EPS 1.0e-6 +void fill_dpar(cosmo *model, cosmo *wmap7, double *dpar, error **err) +{ + int alpha; + double *tmp; + + testErrorRetVA(fabs(wmap7->w1_de-model->w1_de)>EPS, reduced_par, + "Parameter w1de (= %g) different from fiducial WMAP7 value (= %g)", + *err, __LINE__,, model->w1_de, wmap7->w1_de); + + testErrorRetVA(fabs(wmap7->Omega_nu_mass-model->Omega_nu_mass)>EPS, reduced_par, + "Parameter w1de (= %g) different from fiducial WMAP7 value (= %g)", + *err, __LINE__,, model->Omega_nu_mass, wmap7->Omega_nu_mass); + + testErrorRetVA(fabs(wmap7->Neff_nu_mass-model->Neff_nu_mass)>EPS, reduced_par, + "Parameter w1de (= %g) different from fiducial WMAP7 value (= %g)", + *err, __LINE__,, model->Neff_nu_mass, wmap7->Neff_nu_mass); + + dpar[0] = 0.0; /* Unused */ + for (alpha=1; alphacosmo; + ci.i = 0; + + dwda = R_HUBBLE*int_for_w(a, (void*)(&ci), err); forwardError(*err, __LINE__, 0.0); + gg_m = G(self, a, m_bin, err); forwardError(*err, __LINE__, 0.0); + gg_n = G(self, a, n_bin, err); forwardError(*err, __LINE__, 0.0); + ww = w(self->cosmo, a, 0, err); forwardError(*err, __LINE__, 0.0); + fK = f_K(self->cosmo, ww, err); forwardError(*err, __LINE__, 0.0); + + res = dwda/fK*a*a*gg_m*gg_n*(gg_n + gg_m)/2.0; + + return res; + +} + +void fill_Fbar_array(cosmo_lens *self, double *fbar, int m_bin, int n_bin, double amin, int N_a, + double da, error **err) +{ + int k; + double a; + + for (k=0,a=amin; kcosmo, par, err); forwardError(*err, __LINE__,); + orig = *param; + h = FH*orig; + + for (j=0; j<2; j++) { + *param = orig + pm[j]*h; + updateFrom_lens(self, self_mod, err); forwardError(*err, __LINE__,); + fmn[j] = malloc_err(N_a*sizeof(double), err); forwardError(*err, __LINE__,); + fill_Fbar_array(self_mod, fmn[j], m_bin, n_bin, amin, N_a, da, err); + forwardError(*err, __LINE__,); + } + + for (k=0; kELL_MAX_REDUCED, reduced_fourier_limit, + "Fourier scale %g out of range [%g;%g], setting Pg^(1)=0", + *err, __LINE__, 0.0, s, ELL_MIN_REDUCED, ELL_MAX_REDUCED); + + testErrorRetVA(self->tomo==tomo_auto_only && i_bin!=j_bin, lensing_tomoij, + "Cross-correlation (bins # %d,%d) not valid if tomo=tomo_auto_only", + *err, __LINE__, -1.0, i_bin, j_bin); + testErrorRetVA(self->tomo==tomo_cross_only && i_bin==j_bin, lensing_tomoij, + "Cross-correlation (bin #%d) not valid if tomo=tomo_auto_only", + *err, __LINE__, -1.0, i_bin); + testErrorRetVA(s<=0, ce_negative, "Negative or zero 2d Fourier scale ell=%g",* err, __LINE__, -1, s); + testErrorRet(i_bin>j_bin, lensing_tomoij, "Pg_ij defined for i<=j", *err, __LINE__, -1); + + + Nzbin = self->redshift->Nzbin; + Nzcorr = Nzbin*(Nzbin+1)/2; + Na = self->cosmo->N_a; + if (self->Pg1==NULL) { + + logsmin = log(ELL_MIN_REDUCED); + logsmax = log(ELL_MAX_REDUCED); + dlogs = (logsmax - logsmin)/((double)NELL_REDUCED - 1.0); + da = (1.0 - self->cosmo->a_min)/((double)Na); /* Not Na-1 to avoid a=1! */ + + self->Pg1 = init_interTable_arr(Nzcorr, NELL_REDUCED, logsmin, logsmax, dlogs, 0.0, 0.0, err); + + fmn = malloc_err(Na*sizeof(double), err); forwardError(*err, __LINE__, 0.0); + for (alpha=1; alpharedshift, self->tomo, err); + forwardError(*err, __LINE__, 0.0); + fill_dpar(self->cosmo, wmap7->cosmo, (double *)dpar, err); + forwardError(*err, __LINE__, 0.0); + alpha = check_limits(dpar); + testErrorRetVA(alpha!=0, reduced_limit, "Parameter dpar[%d]=%g out of range [%g;%g] for reduced-shear correction", + *err, __LINE__, 0.0, alpha, dpar[alpha], limits_lower[alpha], limits_upper[alpha]); + + for (ii=0; iitomo==tomo_auto_only && ii!=jj) continue; + if (self->tomo==tomo_cross_only && ii==jj) continue; + + table = self->Pg1[idx_zz(ii,jj,Nzbin, err)]->table; + forwardError(*err, __LINE__, -1.0); + + /* F^{mn}, K10 eq. 10 */ + fill_Fbar_array(wmap7, fmn, ii, jj, self->cosmo->a_min, Na, da, err); + forwardError(*err, __LINE__, 0.0); + + /* Calculate dF^{mn}/dp for p!=p_0 (fiducial WMAP7 cosmology) */ + for (alpha=1; alphaEPS) { + fill_dFbar_dp_array(wmap7, parameter[alpha], dfmn_dp[alpha], ii, jj, + self->cosmo->a_min, Na, da, err); + forwardError(*err, __LINE__, 0.0); + } + } + + for (i=0,slog=logsmin; icosmo->a_min, Na, da, fmn, (const double **)dfmn_dp, dpar); + testErrorRetVA(!isfinite(res), math_negative, "Pg^1 (=%g) has to be positive", + *err, __LINE__, 0.0, res); + table[i] = res; + } + + } + } + + free_parameters_lens(&wmap7); + free(fmn); + for (alpha=1; alphaPg1[i], slog, err); + forwardError(*err, __LINE__, -1.0); + + /* The factor 2 is already included in the fitting formulae */ + res = res + res/2.0*self->q_mag_size; + + return res; +} +#undef EPS + + +int change_xi(cosmo_lens* avant, cosmo_lens* apres) +{ + return change_Pshear(avant, apres); +} + +/* ============================================================ * + * Shear correlation function xi_+ (pm=+1) and xi_- (pm=-1). * + * ============================================================ */ +double xi(cosmo_lens* self, int pm, double theta, int i_bin, int j_bin, error **err) +/* ============================================================ * + * Shear correlation function xi_+ (pm=+1) and xi_- (pm=-1). * + * ============================================================ */ +{ + double *table[2]; + double dlogtheta, logthetamin, logthetamax; + double res; + int Nzbin, Nzcorr, ii, jj, index; + + + testErrorRetVA(theta<=0, ce_negative, "Angular scale theta=%g not positive", *err, __LINE__, -1, theta); + + Nzbin = self->redshift->Nzbin; + Nzcorr = Nzbin*(Nzbin+1)/2; + if (self->xiP==NULL || self->xiM==NULL) { + self->xiP = init_interTable_arr(Nzcorr, N_thetaH, 0, 1, 1, 0.0, 0.0, err); + forwardError(*err,__LINE__,0); + self->xiM = init_interTable_arr(Nzcorr, N_thetaH, 0, 1, 1, 0.0, 0.0, err); + forwardError(*err,__LINE__,0); + + for (ii=0; iitomo==tomo_auto_only && ii!=jj) continue; + if (self->tomo==tomo_cross_only && ii==jj) continue; + + index = idx_zz(ii,jj,Nzbin, err); + forwardError(*err, __LINE__, 0.0); + table[0] = self->xiP[index]->table; + table[1] = self->xiM[index]->table; + tpstat_via_hankel(self, table, &logthetamin, &logthetamax, tp_xipm, P_projected_kappa, + ii, jj, err); + forwardError(*err,__LINE__,0); + + dlogtheta = (logthetamax-logthetamin)/((double)N_thetaH-1.0); + self->xiP[index]->a = logthetamin; + self->xiM[index]->a = logthetamin; + self->xiP[index]->b = logthetamax; + self->xiM[index]->b = logthetamax; + self->xiP[index]->dx = dlogtheta; + self->xiM[index]->dx = dlogtheta; + + } + } + } + + testErrorRetVA(self->tomo==tomo_auto_only && i_bin!=j_bin, lensing_tomoij, + "Cross-correlation (bins # %d,%d) not valid if tomo=tomo_auto_only", + *err, __LINE__, -1.0, i_bin, j_bin); + testErrorRetVA(self->tomo==tomo_cross_only && i_bin==j_bin, lensing_tomoij, + "Cross-correlation (bin #%d) not valid if tomo=tomo_auto_only", + *err, __LINE__, -1.0, i_bin); + + index = idx_zz(i_bin,j_bin,Nzbin, err); + forwardError(*err,__LINE__,0); + if (pm==1) { + res = interpol_wr(self->xiP[index], log(theta), err); + forwardError(*err,__LINE__,0); + } else if (pm==-1) { + res = interpol_wr(self->xiM[index], log(theta), err); + forwardError(*err,__LINE__,0); + } else { + *err = addErrorVA(lensing_pm, "pm=%d not valid, has to be +1 or -1", *err, __LINE__, pm); + res = -1.0; + return res; + } + + testErrorRetVA(self->reduced==reduced_K10 && pm==+1 && (thetaTHETA_MAX_REDUCED), + reduced_realsp_limit, + "Angular scale theta=%g' out of range [%g';%g'] for xi+ using reduced-shear correction", + *err, __LINE__, -1.0, theta/arcmin, THETA_P_MIN_REDUCED/arcmin, THETA_MAX_REDUCED/arcmin); + testErrorRetVA(self->reduced==reduced_K10 && pm==-1 && (thetaTHETA_MAX_REDUCED), + reduced_realsp_limit, + "Angular scale theta=%g' out of range [%g';%g'] for xi- using reduced-shear correction", + *err, __LINE__, -1.0, theta/arcmin, THETA_M_MIN_REDUCED/arcmin, THETA_MAX_REDUCED/arcmin); + + return res; +} + +int change_gamma2(cosmo_lens* avant, cosmo_lens* apres) +{ + return change_Pshear(avant,apres); +} + +/* ============================================================ * + * Tophat shear variance <|gamma|!2>. * + * ============================================================ */ +double gamma2(cosmo_lens* self, double theta, int i_bin, int j_bin, error **err) +{ + double *table; + double dlogtheta, logthetamin, logthetamax; + double res; + int Nzbin, Nzcorr, ii, jj, index; + + testErrorVA(theta<=0, ce_negative,"Negative scale theta=%g", *err, __LINE__, -1.0, theta); + + Nzbin = self->redshift->Nzbin; + Nzcorr = Nzbin*(Nzbin+1)/2; + if (self->gamma==NULL) { + + self->gamma = init_interTable_arr(Nzcorr, N_thetaH, 0, 1, 1, 0.0, 0.0,err); + forwardError(*err,__LINE__,0); + + for (ii=0; iitomo==tomo_auto_only && ii!=jj) continue; + if (self->tomo==tomo_cross_only && ii==jj) continue; + + index = idx_zz(ii,jj,Nzbin,err); + forwardError(*err, __LINE__, 0.0); + table = self->gamma[index]->table; + tpstat_via_hankel(self, &table, &logthetamin, &logthetamax, tp_gsqr, P_projected_kappa, + ii, jj, err); + forwardError(*err,__LINE__,0); + dlogtheta = (logthetamax-logthetamin)/((double)N_thetaH-1.0); + self->gamma[index]->a = logthetamin; + self->gamma[index]->b = logthetamax; + self->gamma[index]->dx = dlogtheta; + + } + } + } + + testErrorRetVA(self->tomo==tomo_auto_only && i_bin!=j_bin, lensing_tomoij, + "Cross-correlation (bins # %d,%d) not valid if tomo=tomo_auto_only", + *err, __LINE__, -1.0, i_bin, j_bin); + testErrorRetVA(self->tomo==tomo_cross_only && i_bin==j_bin, lensing_tomoij, + "Cross-correlation (bin #%d) not valid if tomo=tomo_auto_only", + *err, __LINE__, -1.0, i_bin); + + index = idx_zz(i_bin,j_bin,Nzbin,err); + forwardError(*err,__LINE__,0); + res = interpol_wr(self->gamma[index], log(theta), err); + forwardError(*err,__LINE__,0); + return res; + +} + +int change_map2(cosmo_lens* avant, cosmo_lens* apres) +{ + return change_Pshear(avant,apres); +} + +/* ============================================================ * + * Aperture mass variance with polynomial filter. * + * ============================================================ */ +double map2(cosmo_lens* self, double theta, int i_bin, int j_bin, error **err) +{ + double res; + res = map2_poly(self, theta, i_bin, j_bin, err); + forwardError(*err, __LINE__, 0); + return res; +} + + +double map2_poly(cosmo_lens* self, double theta, int i_bin, int j_bin, error **err) +{ + double *table; + double dlogtheta, logthetamin, logthetamax; + double res; + int Nzbin, Nzcorr, ii, jj, index; + + + testErrorRetVA(theta<=0, ce_negative, "Negative angular scale theta=%g", *err, __LINE__, -1, theta); + + Nzbin = self->redshift->Nzbin; + Nzcorr = Nzbin*(Nzbin+1)/2; + if (self->map_poly == NULL) { + self->map_poly = init_interTable_arr(Nzcorr, N_thetaH, 0, 1, 1, 0.0, 0.0, err); + forwardError(*err, __LINE__, 0); + for (ii=0; iitomo==tomo_auto_only && ii!=jj) continue; + if (self->tomo==tomo_cross_only && ii==jj) continue; + + index = idx_zz(ii,jj,Nzbin,err); + forwardError(*err,__LINE__,0); + table = self->map_poly[index]->table; + tpstat_via_hankel(self, &table, &logthetamin, &logthetamax, tp_map2_poly, P_projected_kappa, + ii, jj, err); + forwardError(*err, __LINE__, 0); + dlogtheta = (logthetamax-logthetamin)/((double)N_thetaH-1.0); + self->map_poly[index]->a = logthetamin; + self->map_poly[index]->b = logthetamax; + self->map_poly[index]->dx = dlogtheta; + + } + } + } + + testErrorRetVA(self->tomo==tomo_auto_only && i_bin!=j_bin, lensing_tomoij, + "Cross-correlation (bins # %d,%d) not valid if tomo=tomo_auto_only", + *err, __LINE__, -1.0, i_bin, j_bin); + testErrorRetVA(self->tomo==tomo_cross_only && i_bin==j_bin, lensing_tomoij, + "Cross-correlation (bin #%d) not valid if tomo=tomo_auto_only", + *err, __LINE__, -1.0, i_bin); + + index = idx_zz(i_bin,j_bin,Nzbin, err); + forwardError(*err,__LINE__,0); + res = interpol_wr(self->map_poly[index], log(theta), err); + forwardError(*err, __LINE__, 0); + + return res; +} + +double map2_gauss(cosmo_lens* self, double theta, int i_bin, int j_bin, error **err) +{ + double *table; + double dlogtheta, logthetamin, logthetamax; + double res; + int Nzbin, Nzcorr, ii, jj, index; + + testErrorRetVA(theta<=0, ce_negative, "Negative angular scale theta=%g", *err, __LINE__, -1, theta); + + Nzbin = self->redshift->Nzbin; + Nzcorr = Nzbin*(Nzbin+1)/2; + if (self->map_gauss==NULL) { + self->map_gauss = init_interTable_arr(Nzcorr, N_thetaH, 0, 1, 1, 0.0, 0.0, err); + forwardError(*err, __LINE__, 0); + for (ii=0; iitomo==tomo_auto_only && ii!=jj) continue; + if (self->tomo==tomo_cross_only && ii==jj) continue; + + index = idx_zz(ii,jj,Nzbin,err); + forwardError(*err,__LINE__,0); + table = self->map_gauss[index]->table; + tpstat_via_hankel(self, &table, &logthetamin, &logthetamax, tp_map2_gauss, P_projected_kappa, + ii, jj, err); + forwardError(*err, __LINE__, 0); + dlogtheta = (logthetamax-logthetamin)/((double)N_thetaH-1.0); + self->map_gauss[index]->a = logthetamin; + self->map_gauss[index]->b = logthetamax; + self->map_gauss[index]->dx = dlogtheta; + } + } + } + + testErrorRetVA(self->tomo==tomo_auto_only && i_bin!=j_bin, lensing_tomoij, + "Cross-correlation (bins # %d,%d) not valid if tomo=tomo_auto_only", + *err, __LINE__, -1.0, i_bin, j_bin); + testErrorRetVA(self->tomo==tomo_cross_only && i_bin==j_bin, lensing_tomoij, + "Cross-correlation (bin #%d) not valid if tomo=tomo_auto_only", + *err, __LINE__, -1.0, i_bin); + + index = idx_zz(i_bin,j_bin,Nzbin,err); + forwardError(*err, __LINE__, 0); + res = interpol_wr(self->map_gauss[index], log(theta), err); + forwardError(*err, __LINE__, 0); + + return res; +} + +/* Returns the generalised ring statistic using a as the coefficients * + * of the T_+ decomposition, see FK09 (4, 8, 11) * + * If a==NULL, Z+ from SK07 is used. */ +double RR(cosmo_lens *lens, double THETA_MIN, double THETA_MAX, const double *aa, int N, + poly_t poly, int pm, error **err) +{ + double theta, dtheta, res[2]={0,0}, A, B, x, summand; + + testErrorRetVA(abs(pm)!=1, mr_incompatible, "pm=%d not valid, has to be +1 or -1", + *err, __LINE__, 0.0, pm); + + if (aa==NULL) { +#ifdef __MRING_H + /* Using the (non-optimised) Schneider&Kilbinger (2007) functions Z+,Z- */ + R_from_xi(lens, THETA_MIN/THETA_MAX, THETA_MAX, res, res+1, err); + forwardError(*err, __LINE__, 0.0); + return res[0]; +#else + *err = addError(mr_null, "Coefficients a=NULL", *err, __LINE__); + return 0.0; +#endif + } + + + /* Decrease step size dtheta for more precision, * + * in particular, to make (numerical) B-mode smaller */ + dtheta = 1.0*arcsec/10.0; + if (THETA_MAX>30*arcmin) dtheta *= (THETA_MAX/(30*arcmin)); + + + /* FK09 (8) */ + A = (THETA_MAX - THETA_MIN)/2.0; + B = (THETA_MAX + THETA_MIN)/2.0; + + for (theta=THETA_MIN,res[0]=0.0; theta<=THETA_MAX; theta+=dtheta) { + + summand = xi(lens, pm, theta, 0, 0, err)*theta; + forwardError(*err, __LINE__, -1.0); + + switch (poly) { + case cheby : case cheby2: + x = (theta-B)/A; + if (pm==+1) { + summand *= Tp(x, aa, N, poly, err); + forwardError(*err, __LINE__, -1.0); + } else if (pm==-1) { + summand *= Tm(x, aa, N, poly, B/A, err); + forwardError(*err, __LINE__, -1.0); + } + summand /= dsqr(THETA_MAX); + break; + default : + *err = addErrorVA(ce_unknown, "Wrong poly_t (%d)", *err, __LINE__, poly); + return -1; + } + + res[0] += summand; + + } + + testErrorRet(!isfinite(res[0]), math_infnan, "R_E is not finite", *err, __LINE__, -1.0); + + return res[0]*dtheta; +} + +double E_cosebi(cosmo_lens *lens, int n, double Psimin, double Psimax, int i_bin, int j_bin, + const char *path, double *B_cosebi, error **err) +{ + double rp, rm; + + testErrorRetVA(n > NMAX_COSEBI, mr_range, "COSEBI mode n=%d cannot be larger than NMAX_COSEBI=%d", + *err, __LINE__, -1.0, n, NMAX_COSEBI); + + if (lens->c_cosebi == NULL) { + /* Read COSEBI zeros and normalisation from file, calculate polynomial coefficients */ + lens->c_cosebi = read_zeros_norm_cosebi_auto_check(Psimin, Psimax, path, err); + forwardError(*err, __LINE__, 0.0); + } + + rp = RR_cosebi(lens, Psimin, Psimax, i_bin, j_bin, n, +1, err); + forwardError(*err, __LINE__, 0.0); + + rm = RR_cosebi(lens, Psimin, Psimax, i_bin, j_bin, n, -1, err); + forwardError(*err, __LINE__, 0.0); + + if (B_cosebi != NULL) { + *B_cosebi = 0.5 * (rp - rm); + } + + return 0.5 * (rp + rm); +} + +/* Returns the COSEBI of order N using a as the coefficients * + * of the T_+ decomposition, see SKE10 (36 - 38) */ +double RR_cosebi(cosmo_lens *lens, double THETA_MIN, double THETA_MAX, int i_bin, int j_bin, + int n, int pm, error **err) +{ + double res, zmax, z, dz; + int Nz; + cosmo_lensANDextra intpar; + + testErrorRetVA(abs(pm)!=1, mr_incompatible, "pm=%d not valid, has to be +1 or -1", + *err, __LINE__, 0.0, pm); + zmax = log(THETA_MAX / THETA_MIN); + + intpar.self = lens; + intpar.err = err; + intpar.pm = pm; + intpar.i_bin = i_bin; + intpar.j_bin = j_bin; + intpar.n = n; + intpar.thmin = THETA_MIN; + + + // Romberg integration. Up to N=13, B-mode is < 6e-16. E_13 = 2e-14 + Nz = 10; + dz = zmax/(double)Nz; + for (z=0.0,res=0.0; z<=zmax-dz; z+=dz) { + res += sm2_qromberg(dRR_cosebi_dz, (void*)&intpar, z, z+dz, 1.0e-6, err); + } + forwardError(*err, __LINE__, -1.0); + + + // Adaptive Gaussian integration + /* + int n = 1000; + size_t neval; + double eps_abs, eps_rel, res_err, tmp; + gsl_function F; + gsl_integration_workspace *w = gsl_integration_workspace_alloc(n); + F.function = &dRR_cosebi_dz; + F.params = &intpar; + eps_abs = 1.0e-5; + eps_rel = 1.0e-3; + + Nz = 1; + dz = zmax / (double)Nz; + for (z=0.0,res=0.0; z<=zmax-dz; z+=dz) { + gsl_integration_qag(&F, z, z+dz, eps_abs, eps_rel, n, GSL_INTEG_GAUSS41, w, &tmp, &res_err); + //gsl_integration_qng (&F, z, z+dz, eps_abs, eps_rel, &tmp, &res_err, &neval); + res += tmp; + } + gsl_integration_workspace_free(w); + */ + + // Monte-Carlo integration + /* + gsl_monte_vegas_state *s = gsl_monte_vegas_alloc(1); + gsl_monte_vegas_init(s); + + gsl_rng *rng; + gsl_monte_function F; + double min[0], max[0], res_err; + size_t calls; + + calls = 10000*N; + rng = gsl_rng_alloc(gsl_rng_default); + F.f = &dRR_cosebi_dz_MC; + F.dim = 1; + F.params = &intpar; + min[0] = 0.0; + max[0] = zmax; + + gsl_monte_vegas_integrate(&F, min, max, 1, calls, rng, s, &res, &res_err); + + gsl_monte_vegas_free(s); + */ + + testErrorRet(!isfinite(res), math_infnan, "R is not finite", *err, __LINE__, -1.0); + + res *= THETA_MIN*THETA_MIN; + + return res; +} + +/* +double dRR_cosebi_dz_MC(double *z, int ndim, void *intpar) +{ +} +*/ + +double dRR_cosebi_dz(double z, void *intpar, error **err) +{ + double theta, summand; + int i_bin, j_bin, pm, n; + cosmo_lensANDextra *extra; + cosmo_lens *lens; + //error **err; + + extra = (cosmo_lensANDextra*)intpar; + lens = extra->self; + pm = extra->pm; + i_bin = extra->i_bin; + j_bin = extra->j_bin; + n = extra->n; + theta = extra->thmin * exp(z); + + summand = xi(lens, pm, theta, i_bin, j_bin, err); + forwardError(*err, __LINE__, -1.0); + + //printf("%g %g %d %d\n", theta/arcmin, summand, n, pm); + + if (pm==+1) { + summand *= Tplog_c(z, lens->c_cosebi, n, err); + forwardError(*err, __LINE__, -1.0); + } else if (pm==-1) { + summand *= Tmlog(z, lens->c_cosebi, n, err); + forwardError(*err, __LINE__, -1.0); + } + + summand *= exp(2.0*z); + + return summand; +} + + +double int_for_map2_slow(double logell, void *intpar, error **err) +{ + cosmo_lensANDiiid *cplusplus; + double theta, etasqr, res, ell; + tpstat_t tpstat; + int i_bin, j_bin; + + ell = exp(logell); + cplusplus = (cosmo_lensANDiiid*)intpar; + theta = cplusplus->r; + etasqr = dsqr(theta*ell); + tpstat = (tpstat_t)cplusplus->t; + i_bin = cplusplus->i; + j_bin = cplusplus->j; + + res = dsqr(ell)*Pshear(cplusplus->self, ell, i_bin, j_bin, err); + forwardError(*err, __LINE__, 0); + if (tpstat==tp_map2_poly) { + /* TODO: implement Bessel function J_4 */ + *err = addError(ce_unknown, "wrong tpstat", *err, __LINE__); + return -1; + } else if (tpstat==tp_map2_gauss) { + res *= dsqr(etasqr)/4.0*exp(-etasqr); + } else { + *err = addError(ce_unknown, "wrong tpstat", *err, __LINE__); + return -1; + } + + return res; +} + +double map2_slow(cosmo_lens *self, double theta, tpstat_t tpstat, int i_bin, int j_bin, error **err) +{ + cosmo_lensANDiiid intpar; + double res; + + intpar.self = self; + intpar.t = (int)tpstat; + intpar.r = theta; + intpar.i = i_bin; + intpar.j = j_bin; + + res = 1.0/(2.0*pi)*sm2_qromberg(int_for_map2_slow, (void*)&intpar, log(s_min), log(s_max), + 1.0e-6, err); + forwardError(*err, __LINE__, 0); + + return res; +} + +/* ============================================================ * + * Data input, likelihood stuff (used to be in likeli.c). * + * ============================================================ */ + + +/* ============================================================ * + * Useful if a datcov structure only contains the covariance. * + * ============================================================ */ +datcov *init_datcov_for_cov_only(int Nzbin, int Ntheta, error **err) +{ + datcov *dc; + + dc = malloc_err(sizeof(datcov), err); forwardError(*err, __LINE__, NULL); + dc->Nzbin = Nzbin; + dc->Nzcorr = Nzbin*(Nzbin+1)/2; + dc->Ntheta = Ntheta; + dc->Ntheta2 = 0; + dc->n = dc->Nzcorr*dc->Ntheta; + dc->usecov = 1; + dc->lndetC = 0.0; + dc->theta = dc->data = dc->var = dc->cov[0] = dc->cov[1] = dc->cov[2] = NULL; + dc->cov_scaling = cov_const; + + return dc; +} + +datcov *init_data_cov_tomo(char* dataname, char *dataname2, char** covname_ptr, lensdata_t type, + decomp_eb_filter_t decomp_eb_filter, lensformat_t format, double corr_invcov, + double a1, double a2, order_t order, + cov_scaling_t cov_scaling, error **err) +{ + datcov *res; + gsl_matrix_view A; + + testErrorRetVA(type<0||type>=Nlensdata_t, ce_unknown, "Unknown lens data type %d", + *err, __LINE__, NULL, type); + + res = malloc_err(sizeof(datcov), err); forwardError(*err,__LINE__,NULL); + + res->format = format; + res->usecov = 1; + res->type = type; + res->order = order; + res->decomp_eb_filter = decomp_eb_filter; + + /* a1 and a2 are zero if format!=angle_wquadr */ + res->a1 = a1; + res->a2 = a2; + + switch (res->type) { + + case map3gauss: + /* Three angular scales per bin */ + read_data_3rd(res, dataname, 0, err); + forwardError(*err, __LINE__, NULL); + break; + + case map2gauss_map3gauss_diag: case map2gauss_map3gauss: + case decomp_eb_map3gauss_diag: case decomp_eb_map3gauss: + /* Two files */ + read_data_2nd_3rd(res, dataname, dataname2, err); + forwardError(*err, __LINE__, NULL); + break; + + default: + /* One angular scale per bin */ + read_data_tomo(res, dataname, 0, order, err); + forwardError(*err,__LINE__,NULL); + break; + } + + read_cov_tomo(res, covname_ptr[0], 0, err); forwardError(*err,__LINE__,NULL); + + if (cov_scaling == cov_ESH09) { + + read_cov_tomo(res, covname_ptr[1], 1, err); forwardError(*err,__LINE__,NULL); + read_cov_tomo(res, covname_ptr[2], 2, err); forwardError(*err,__LINE__,NULL); + + res->lndetC = -1.0; /* dummy value; recalculated in chi2_lensing */ + + } else if (cov_scaling == cov_const) { + + gsl_set_error_handler_off(); + A = gsl_matrix_view_array(res->cov[0], res->n, res->n); + + /* Replace res->cov with L, where C = L L^T */ + if (gsl_linalg_cholesky_decomp(&A.matrix) == GSL_EDOM) { + del_data_cov(&res); + *err = addError(mv_cholesky, "Cholesky decomposition failed", *err, __LINE__); + return NULL; + } + + + /* Now cov is L, where L * L^T is the covariance matrix. * + * Therefore, multiply with the inverse square root Hartlap factor */ + multiply_all(res->cov[0], res->n*res->n, sqrt(1.0/corr_invcov)); + + /* Determinant of the covariance. * + * A contains L with C = L^T L, so * + * ln|C| = ln|L|^2 = 2 ln|L| . */ + res->lndetC = 2.0 * ln_determinant(res->cov[0], res->n, err); + forwardError(*err,__LINE__,NULL); + + + } else { + + *err = addErrorVA(ce_unknown, "Unknown or invalid cov_scaling type %d(%s)", + *err, __LINE__, cov_scaling, scov_scaling_t(cov_scaling)); + return NULL; + + } + + res->cov_scaling = cov_scaling; + + return res; +} + +void del_data_cov(datcov** dc) +{ + datcov *d; + d = *dc; + + if (d->theta) free(d->theta); + if (d->data) free(d->data); + if (d->usecov) { + free(d->cov[0]); + if (d->cov[1] != NULL) free(d->cov[1]); + if (d->cov[2] != NULL) free(d->cov[2]); + } else { + free(d->var); + } + free(d); + d = NULL; +} + +/* ============================================================ * + * Reads data file into structure dc (has to be initialised * + * before). The file has to have the structure * + * theta[arcmin] c_00 c_01 ... c_0{n-1} c_11 ... c_{n-1}{n-1} * + * with c_ij some (correlation) quantity corr. to bins i, j. * + * If Nzbin>0 on input: performs a consistency check for second * + * order. * + * The file can contain xi+ and xi- data, in this case it * + * corresponds to 'cat xi+.dat xi-.dat > xi+-.dat'. * + * Used for 2nd-order and 3rd-order diagonal, also for combined * + * 2nd and 3rd. * + * ============================================================ */ +void read_data_tomo(datcov *dc, char data_name[], int Nzbin, order_t order, error **err) +{ + int n, i, Ncol, offset, nz; + size_t Nrec, Ntheta, Nzcorr; + double dNcol; + double *ptr; + + /* Read file to double pointer */ + Nrec = 0; + ptr = (double*)read_any_list_count(data_name, &Nrec, "%lg", sizeof(double), &Ntheta, err); + forwardError(*err, __LINE__,); + + /* Number of lines and columns */ + dNcol = (double)Nrec/(double)Ntheta; + Ncol = Nrec/Ntheta; + testErrorRet(fabs(dNcol-(double)Ncol)>EPSILON, lensing_inconsistent, "Columns do not have equal length", + *err, __LINE__,); + + if (dc->format==angle_mean || dc->format==angle_wlinear || dc->format==angle_wquadr) { + Nzcorr = Ncol - 2; + testErrorRetVA(Nzcorr<1, lensing_inconsistent, "Not enough columns in file for lensformat %s(%d)", + *err, __LINE__,, slensformat_t(dc->format), dc->format); + } else { + Nzcorr = Ncol - 1; + } + + /* Fill datcov structure */ + dc->Ntheta = (int)Ntheta; + dc->Ntheta2 = 0; + if (order == third_order) { + dc->Nzbin = Nperm_to_Ntheta(Nzcorr, err); forwardError(*err, __LINE__,); + } else { + dc->Nzbin = get_and_check_Nzbin(Nzcorr, Nzbin, err); forwardError(*err, __LINE__,); + } + dc->Nzcorr = Nzcorr; + dc->n = Ntheta*Nzcorr; + + dc->data = malloc_err(sizeof(double)*dc->n, err); forwardError(*err, __LINE__,); + dc->theta = malloc_err(sizeof(double)*Ntheta, err); forwardError(*err, __LINE__,); + if (dc->format==angle_mean || dc->format==angle_wlinear || dc->format==angle_wquadr) { + dc->theta2 = malloc_err(sizeof(double)*Ntheta, err); forwardError(*err, __LINE__,); + } else { + dc->theta2 = NULL; + } + dc->var = NULL; + + /* First column: angular scale */ + for (i=0; itheta[i] = ptr[i*Ncol+0]*arcmin; + if (dc->format==angle_mean || dc->format==angle_wlinear || dc->format==angle_wquadr) { + /* Second column: upper bin limit */ + dc->theta2[i] = ptr[i*Ncol+1]*arcmin; + } + } + + if (dc->format==angle_mean || dc->format==angle_wlinear || dc->format==angle_wquadr) { + offset = 2; + } else { + offset = 1; + } + + /* In final data vector: angular scale is varying fast, redshift is varying slow */ + for (nz=0,n=0; nz=dc->n, math_overflow, "Index overflow (%d>=%d)", *err, __LINE__,, n, dc->n); + + dc->data[n] = ptr[i*Ncol+offset+nz]; + } + } +} + +/* ============================================================ * + * Reada the covariance matrix in block format. * + * ============================================================ */ +void read_cov_tomo(datcov* dc, char cov_name[], int icov, error **err) +{ + int i, j, index, Nzcorr; + size_t Nrec, Nrow, Nangular, Nangular2; + double *ptr; + + testErrorRetVA(icov<0 || icov>2, lensing_range, "Cov matrix number %d out of range [0;2]", + *err, __LINE__,, icov); + + testErrorRet(dc->Ntheta<=0, lensing_initialised, + "Data file has to be read before covariance, to set number of bins (Ntheta)", *err, __LINE__,); + testErrorRet(dc->Nzcorr<=0, lensing_initialised, + "Data file has to be read before covariance, to set number of bins (Nzcorr)", *err, __LINE__,); + testErrorRet(dc->Nzbin<=0, lensing_initialised, + "Data file has to be read before covariance, to set number of bins (Nzbin)", *err, __LINE__,); + + /* Read file to double pointer */ + Nrec = 0; + ptr = (double*)read_any_list_count(cov_name, &Nrec, "%lg", sizeof(double), &Nrow, err); + forwardError(*err, __LINE__,); + + testErrorVA(Nrow!=dc->n, lensing_inconsistent, + "Covariance matrix (%d rows) inconsistent with data vector of length %d", + *err, __LINE__, Nrow, dc->n); + testErrorRetVA(Nrec!=Nrow*Nrow, lensing_inconsistent, "Covariance matrix is not square, Nrow=%d, Nrec=%d\n", + *err, __LINE__,, Nrec, Nrow); + + /* The tests above ensure that different covariance files are consistent */ + + dc->cov[icov] = malloc_err(dc->n*dc->n*sizeof(double), err); forwardError(*err, __LINE__,); + + switch (dc->type) { + case map3gauss : + Nangular = dc->Ntheta * (dc->Ntheta + 1) * (dc->Ntheta + 2) / 6; + Nangular2 = 0; + break; + case map2gauss_map3gauss : case decomp_eb_map3gauss : + Nangular = dc->Ntheta; + Nangular2 = dc->Ntheta2 * (dc->Ntheta2 + 1) * (dc->Ntheta2 + 2) / 6; + break; + case map2gauss_map3gauss_diag : case decomp_eb_map3gauss_diag : + Nangular = dc->Ntheta; + Nangular2 = dc->Ntheta2; + break; + default : + Nangular = dc->Ntheta; + Nangular2 = 0; + break; + } + + Nzcorr = dc->Nzcorr; + + testErrorRetVA(dc->n != Nangular * Nzcorr + Nangular2 * Nzcorr, + lensing_range, "Inconsistent number of angular/redshift bins (%d != %d*%d + %d*%d", + *err, __LINE__,, dc->n, Nangular, Nzcorr, Nangular2, Nzcorr); + + + for (i=0,index=0; in; i++) { + for (j=0; jn; j++,index++) { + + testErrorRetVA(index >= dc->n * dc->n, lensing_range, "Index overflow, %d >= %d", + *err, __LINE__,, index, dc->n * dc->n); + dc->cov[icov][index] = ptr[index]; + + } + } + +} + +/* ============================================================ * + * Creates the vectors xip, xim, theta and theta2 (if required * + * by the lens format), all of size N, * + * and copies the content of datcov to those vectors. * + * ============================================================ */ +void datcov2xipm(const datcov *dc, int i_bin, int j_bin, double **xip, double **xim, double **theta, + double **theta2, int *N, error **err) +{ + int i, index, offset; + + testErrorRetVA(dc->type!=xipm, lensing_type, "lenstype has to be %d('%s'), not %d", + *err, __LINE__,, xipm, slensdata_t(xipm), dc->type); + + testErrorRetVA(i_bin>j_bin, lensing_tomoij, "i_bin(=%d) has to be smaller or equal j_bin(=%d)", + *err, __LINE__,, i_bin, j_bin); + + testErrorRetVA(j_bin>=dc->Nzbin, lensing_tomoij, "j_bin(=%d) has to be smaller than Nzbin=%d\n", + *err, __LINE__,, j_bin, dc->Nzbin); + + *N = dc->Ntheta/2; + + *xip = malloc_err(*N*sizeof(double), err); forwardError(*err, __LINE__,); + *xim = malloc_err(*N*sizeof(double), err); forwardError(*err, __LINE__,); + *theta = malloc_err(*N*sizeof(double), err); forwardError(*err, __LINE__,); + + if (dc->format==angle_mean || dc->format==angle_wlinear || dc->format==angle_wquadr) { + *theta2 = malloc_err(*N*sizeof(double), err); forwardError(*err, __LINE__,); + } else { + *theta2 = NULL; + } + + + offset = dc->Ntheta * idx_zz(i_bin, j_bin, dc->Nzbin, err); + forwardError(*err, __LINE__,); + for (i=0; i<*N; i++) { + index = offset + i; + (*xip)[i] = dc->data[index]; + (*theta)[i] = dc->theta[i]; + if (dc->format==angle_mean || dc->format==angle_wlinear || dc->format==angle_wquadr) { + (*theta2)[i] = dc->theta2[i]; + } + } + + for (i=*N; iNtheta; i++) { + index = offset + i; + (*xim)[i-(*N)] = dc->data[index]; + } + +} + +/* Really only reads a covariance (in column format) for xi+ */ +void read_cov_col(datcov *dc, char cov_name[], error **err) +{ + FILE *F; + int i, j, res, nn; + unsigned int ncomment; + double dummy[5]; + + nn = numberoflines_comments(cov_name, &ncomment, err); forwardError(*err, __LINE__,); + dc->n = (int)sqrt(nn); + dc->Ntheta = dc->n; + dc->Ntheta2 = 0; + dc->Nzbin = dc->Nzcorr = 1; + F = fopen_err(cov_name, "r", err); forwardError(*err, __LINE__,); + dc->cov[0] = malloc_err(sizeof(double)*dc->n*dc->n, err); forwardError(*err, __LINE__,); + dc->cov[1] = dc->cov[2] = NULL; + dc->theta = malloc_err(sizeof(double)*dc->n, err); forwardError(*err, __LINE__,); + + for (i=0; in; i++) { + for (j=0; jn; j++) { + res = fscanf(F, "%lf %lf %lf %lf %lf\n", dummy, dummy+1, dummy+2, dummy+3, dummy+4); + testErrorRet(res==EOF, io_eof, "Premature eof", *err, __LINE__,); + if (i==0) { + dc->theta[j] = dummy[1]; + } + dc->cov[0][i*dc->n+j] = dummy[2]; + } + } + +} + + +/* ============================================================ * + * The following functions implement the Eifler, Schneider & * + * Hartlap 2009 (ESH09) cosmology-dependent covariance. * + * ============================================================ */ + +/* ============================================================ * + * Scales the cosmic variance xi+/xi- covariance term, see * + * ESH09, eq. (20, 21). * + * ============================================================ */ +void scale_cosmic_variance_ESH09(cosmo_lens *model, gsl_matrix *cov, const datcov *dc, error **err) +{ + int pm1, pm2, i, j, i_bin, j_bin, k_bin, l_bin, ci, cj; + double f, xi1, xi2, xi1_fid, xi2_fid, old; + + for (i_bin=ci=0; i_binNzbin; i_bin++) { + for (j_bin=i_bin; j_binNzbin; j_bin++) { + for (i=0; iNtheta; i++,ci++) { + + pm1 = get_pm(dc->type, i, dc->Ntheta, err); + forwardError(*err, __LINE__,); + xi1 = xi(model, pm1, dc->theta[i], i_bin, j_bin, err); + forwardError(*err, __LINE__,); + xi1_fid = xi(dc->fiducial, pm1, dc->theta[i], i_bin, j_bin, err); + forwardError(*err, __LINE__,); + + for (k_bin=cj=0; k_binNzbin; k_bin++) { + for (l_bin=k_bin; l_binNzbin; l_bin++) { + for (j=0;jNtheta;j++,cj++) { + + pm2 = get_pm(dc->type, j, dc->Ntheta, err); + forwardError(*err, __LINE__,); + xi2 = xi(model, pm2, dc->theta[j], k_bin, l_bin, err); + forwardError(*err, __LINE__,); + xi2_fid = xi(dc->fiducial, pm2, dc->theta[j], k_bin, l_bin, err); + forwardError(*err, __LINE__,); + + f = xi1 / xi1_fid * xi2 / xi2_fid; + old = gsl_matrix_get(cov, ci, cj); + gsl_matrix_set(cov, ci, cj, old * f); + + } + } + } + + } + } + } +} + +/* ============================================================ * + * Returns +-1, corresponding to type (xip, xim) and angular * + * index (for xipm). * + * ============================================================ */ +int get_pm(lensdata_t type, int i, int Ntheta, error **err) +{ + /* First half of data vector = xi+, second half = xi- */ + if (type == xipm) { + if (i < Ntheta/2) return +1; + else return -1; + } + if (type == xip) return +1; + if (type == xim) return -1; + + *err = addErrorVA(lensing_type, "Invalid lens type %d", *err, __LINE__, type); + return 0; +} + +/* ============================================================ * + * Returns index c such that list[c] is the closest entry for * + * x. prev (if >0) is starting index for search. * + * ============================================================ */ +int find_bin(double x, const double *list, int N, int prev, error **err) +{ + int c; + + if (prev>=0) { + /* Start search at previous index */ + for (c=prev; c x) { + /* Nearer to lower or upper bin corner? */ + if (x-list[c] < (list[c+1]-list[c])/2.0) return c; + return c + 1; + } + } + } + + /* x outside of range? -> constant extrapolation */ + if (list[N-1] < x) return N-1; + if (x < list[0]) return 0; + + /* Start search from beginning */ + for (c=0; c x) { + if (x-list[c] < list[c+1]-list[c]) return c; + return c + 1; + } + } + + *err = addErrorVA(lensing_range, "Invalid range for bin search, th=%g", *err, __LINE__, x); + return -1; +} + +/* ============================================================ * + * Scales the mixed xi+/xi- covariance term, according to * + * ESH09, eq. (22). * + * ============================================================ */ +#define NTH_M_ESH09 12 +void scale_mixed_ESH09(const cosmo_lens *model, gsl_matrix *cov, const datcov *dc, error **err) +{ + const double theta[NTH_M_ESH09] = {1.0, 4.9, 10.3, 15.7, 33.0, 45.4, 69.3, 85.7, 106.6, 131.0, 162.0, 180.0}; + + /* ESH09, http://www.astro.uni-bonn.de/~teifler/fit-parameters.pdf */ + const double alpha_pp[NTH_M_ESH09][NTH_M_ESH09] = { + {1.1892,1.3888,1.4163,1.4212,1.4485,1.4726,1.5186,1.5485,1.5841,1.6262,1.6768,1.7063}, + {1.3888,1.2955,1.4126,1.4214,1.4483,1.4723,1.5183,1.5483,1.5838,1.6260,1.6767,1.7061}, + {1.4163,1.4126,1.3243,1.4190,1.4476,1.4712,1.5173,1.5474,1.5830,1.6253,1.6761,1.7055}, + {1.4212,1.4214,1.4190,1.3395,1.4465,1.4695,1.5156,1.5458,1.5816,1.6240,1.6750,1.7045}, + {1.4493,1.4483,1.4476,1.4465,1.3677,1.4607,1.5055,1.5365,1.5733,1.6166,1.6684,1.6982}, + {1.4726,1.4723,1.4712,1.4695,1.4607,1.3802,1.4944,1.5259,1.5637,1.6082,1.6609,1.6911}, + {1.5186,1.5183,1.5173,1.5156,1.5055,1.4944,1.396, 1.4976,1.5370,1.5845,1.6399,1.6712}, + {1.5485,1.5483,1.5474,1.5458,1.5365,1.5259,1.4976,1.4023,1.5135,1.5629,1.6208,1.6532}, + {1.5841,1.5838,1.5830,1.5816,1.5733,1.5637,1.5370,1.5135,1.4078,1.5308,1.5922,1.6264}, + {1.6262,1.6260,1.6253,1.6240,1.6166,1.6082,1.5845,1.5629,1.5308,1.4120,1.5496,1.5864}, + {1.6768,1.6767,1.6761,1.6750,1.6684,1.6609,1.6399,1.6208,1.5922,1.5496,1.4148,1.5279}, + {1.7063,1.7061,1.7055,1.7045,1.6982,1.6911,1.6712,1.6532,1.6264,1.5864,1.5279,1.4157}, + }; + const double beta_pp[NTH_M_ESH09][NTH_M_ESH09] = { + {2.689, 2.4905,2.1437,2.0102,1.9220,1.9198,1.9322,1.9418,1.9522,1.9627, 1.9734,1.9781}, + {2.4905,2.5137,2.1993,2.0283,1.9232,1.9201,1.9322,1.9417,1.9520,1.9628, 1.9731,1.9782}, + {2.1437,2.1993,2.3725,2.1168,1.9283,1.9210,1.9319,1.9414,1.9518,1.9625, 1.9729,1.9781}, + {2.0102,2.0283,2.1168,2.3110,1.9401,1.9230,1.9314,1.9408,1.9513,1.9621, 1.9728,1.9778}, + {1.9222,1.9232,1.9283,1.9401,2.2460,1.9614,1.9301,1.9377,1.9484,1.9598, 1.9710,1.9765}, + {1.9198,1.9201,1.9210,1.9230,1.9614,2.2323,1.9340,1.9351,1.9451,1.9571, 1.9691,1.9749}, + {1.9322,1.9322,1.9319,1.9314,1.9301,1.9334,2.2234,1.9491,1.9381,1.9496, 1.9634,1.9701}, + {1.9418,1.9417,1.9414,1.9408,1.9377,1.9351,1.9491,2.2219,1.9433,1.943, 1.9580,1.9655}, + {1.9522,1.9520,1.9518,1.9513,1.9484,1.9451,1.9381,1.9433,2.2218,1.94082,1.9497,1.9583}, + {1.9627,1.9628,1.9625,1.9621,1.9598,1.9571,1.9496,1.9433,1.9408,2.2226, 1.9409,1.9473}, + {1.9734,1.9731,1.9729,1.9728,1.9710,1.9691,1.9634,1.9580,1.9497,1.9409, 2.2242,1.9495}, + {1.9781,1.9782,1.9781,1.9778,1.9765,1.9749,1.9701,1.9655,1.9583,1.9473, 1.9495,2.225}, + }; + + const double alpha_mm[NTH_M_ESH09][NTH_M_ESH09] = { + {0.8146, 1.1532, 1.331, 1.4036,0.6502,0.7446,0.6435,1.4427,0.8483,1.115, 0.900, 0.8539}, + {1.1532, 0.9987, 1.3058, 1.3935,1.3981,1.3473,0.6796,1.1596,1.1655,1.1080,1.1260,1.063}, + {1.3307, 1.3058, 1.0946, 1.3548,1.4015,1.375, 1.3997,1.4481,1.3982,0.6967,1.2972,1.1362}, + {1.4036, 1.3935, 1.3548, 1.1431,1.4052,1.3816,1.3711,1.3803,1.3884,1.3681,1.4430,1.4899}, + {0.6519, 1.3981, 1.4015, 1.4052,1.2103,1.3983,1.3711,1.3728,1.3832,1.4006,1.4284,1.4404}, + {0.7447, 1.3473, 1.3750, 1.3816,1.3983,1.2321,1.3761,1.3724,1.3813,1.40, 1.4244,1.4405}, + {0.64346,0.67964,0.13997,1.3711,1.3711,1.3761,1.2562,1.3808,1.3775,1.3931,1.4193,1.4355}, + {1.4427, 1.1596, 1.4481, 1.3803,1.3728,1.3724,1.3808,1.2668,1.3793,1.3878,1.4133,1.4298}, + {0.8482, 1.1655, 1.3982, 1.3884,1.3832,1.3813,1.3775,1.3793,1.2770,1.3833,1.4045,1.4211}, + {1.1150, 1.1080, 0.69672,1.3681,1.4006,1.3995,1.3931,1.3878,1.3833,1.2871,1.3931,1.4081}, + {0.90, 1.1260, 1.2972, 1.4430,1.4284,1.4244,1.4193,1.4133,1.4045,1.3931,1.2973,1.3944}, + {0.8539, 1.063, 1.1362, 1.4899,1.4404,1.4405,1.4354,1.4298,1.4211,1.4081,1.3944,1.3025}, + }; + const double beta_mm[NTH_M_ESH09][NTH_M_ESH09] = { + {2.3102,2.9769,3.1407,3.0122,1.4087,1.5601,0.7488,4.3083,2.0481,5.0329,1.8159,2.6019}, + {2.9769,2.5973,3.1406,2.9523,2.2487,2.0178,3.0619,2.5425,3.0956,3.9419,3.3497,3.2596}, + {3.1407,3.1406,2.777, 3.0472,2.280, 2.053, 1.8821,1.708, 1.9703,6.7254,3.6954,7.0468}, + {3.0122,2.9523,3.0472,2.8242,2.3463,2.0730,1.9219,1.8869,1.8507,2.1066,1.8902,0.8581}, + {1.4122,2.2487,2.280, 2.3463,2.7801,2.2915,1.9407,1.8973,1.8868,1.898, 1.8862,1.9033}, + {1.5601,2.0178,2.0530,2.0730,2.2915,2.7192,1.9933,1.910, 1.8879,1.8913,1.9095,1.9213}, + {0.7488,3.0619,1.8821,1.9219,1.9407,1.9933,2.6167,2.0248,1.9049,1.8889,1.8982,1.9059}, + {4.3084,2.5425,1.7080,1.8869,1.8973,1.910, 2.0248,2.5626,1.961, 1.8931,1.8964,1.9045}, + {2.0481,3.0956,1.9703,1.8507,1.8868,1.8879,1.9050,1.961, 2.5101,1.9236,1.8944,1.9005}, + {5.0329,3.9419,6.7254,2.1067,1.898, 1.8913,1.8889,1.8930,1.9237,2.4610,1.9060,1.8975}, + {1.8159,3.3497,3.6954,1.8902,1.8862,1.9095,1.8982,1.8964,1.8944,1.9060,2.4166,1.9428}, + {2.6019,3.2596,7.0468,0.8581,1.9033,1.9213,1.906, 1.9045,1.9005,1.8975,1.943, 2.3965}, + }; + + const double alpha_pm[NTH_M_ESH09][NTH_M_ESH09] = { + {0.9198,1.0776, 1.2039, 1.2690,1.3444,1.3588,1.3680,1.3720,1.3776,1.3857,1.3968,1.4036}, + {0.7385,1.8641, 1.2002, 1.2616,1.3433,1.3585, 1.368,1.3721,1.3776,1.3857,1.3968,1.4036}, + {1.1172,1.0939, 0.3245, 1.2212,1.3388,1.3572,1.3679,1.3729,1.3777,1.3857,1.3968,1.4036}, + {1.0298,1.2851, 1.2017, 0.7253,1.3241,1.3544,1.3678,1.3721,1.3777,1.3857,1.3968,1.4036}, + {0.7624,1.5316, 1.4728, 1.4719,0.9712,1.3427,1.3660,1.3730,1.3785,1.3861,1.3968,1.4035}, + {0.7845,1.0214, 1.3619, 1.4555,1.4584,1.0303,1.3650,1.3824,1.3810,1.3871,1.3970,1.4034}, + //{0.5863,0.9360,-5.4805, 1.3951,1.3855,1.4222,1.0895,1.3595,1.3635,1.4203,1.4007,1.4049}, + {0.5863,0.9360, 1.128, 1.3951,1.3855,1.4222,1.0895,1.3595,1.3635,1.4203,1.4007,1.4049}, + {1.1916,1.0523, 0.8196, 1.4040,1.3075,1.3291,1.4146,1.1132,1.3654,1.3648,1.4387,1.4129}, + {0.8716,1.0998, 1.4396, 1.3243,1.2660,1.2710,1.3063,1.3641,1.1337,1.3707,1.3699,1.3430}, + {1.1017,1.1333, 1.1835, 1.1471,1.2451,1.2547,1.2624,1.2748,1.3179,1.1518,1.3768,1.3791}, + {0.8894,1.1091, 1.2446, 1.4713,1.2692,1.2635,1.2663,1.2652,1.2674,1.2897,1.1679,1.3794}, + {1.0537,1.0673, 1.3307, 1.2411,1.2369,1.2882,1.2774,1.2751,1.2713,1.2731,1.3207,1.1755}, + }; + const double beta_pm[NTH_M_ESH09][NTH_M_ESH09] = { + {2.1759,2.7594,2.9587, 2.9510,2.6699,2.4892,2.2673,2.1796,2.1105,2.0591,2.0232,2.0098}, + {2.1639,4.6092,2.8784, 2.9351,2.6728,2.4916,2.2684,2.1802,2.1109,2.0594,2.0232,2.0099}, + {3.3921,3.2594,1.5224, 3.0572,2.6790,2.4998,2.2725,2.1827,2.1123,2.0601,2.0236,2.0102}, + {3.9545,3.7686,3.5351, 2.2997,2.6384,2.5113,2.2797,2.1871,2.1147,2.0614,2.0243,2.0106}, + {1.5130,3.5641,3.7076, 3.7696,2.8402,2.7344,2.321, 2.2166,2.1312,2.0699,2.0284,2.0135}, + {1.5519,2.2561,3.0393, 3.1508,3.6129,2.9527,2.4350,2.2705,2.1564,2.0818,2.0340,2.0173}, + //{0.6329,2.6217,5.1207, 2.3331,2.4026,2.6896,3.0243,2.4258,2.1906,2.1918,2.0579,2.0318}, + {0.6329,2.6217,2.858, 2.3331,2.4026,2.6896,3.0243,2.4258,2.1906,2.1918,2.0579,2.0318}, + {3.7856,2.9128,3.4400, 1.9722,2.0450,2.1320,2.7362,3.0278,2.3185,2.1055,2.1568,2.060}, + {2.0595,3.5045,2.8142, 0.8366,1.8996,1.9017,2.040, 2.3663,3.0103,2.2253,2.0447,1.9414}, + {4.6080,3.7127,3.7228, 3.1046,1.9377,1.8477,1.8426,1.8956,2.0997,2.9732,2.1490,2.0619}, + {1.8539,3.4068,4.2135, 1.9034,1.6319,1.9126,1.8088,1.8213,1.8395,1.9450,2.9192,2.2337}, + {2.5585,3.1909,5.2090, 5.6088,1.7140,1.9389,1.8113,1.8261,1.8255,1.8484,2.1093,2.8872}, + }; + + int nz, mz, i, j, ii, jj, ci, cj; + double f, alpha, beta, old; + int pm1, pm2; + + ii = jj = -1; + for (nz=ci=0; nzNzcorr; nz++) { + for (i=0; iNtheta; i++,ci++) { + + ii = find_bin(dc->theta[i]/arcmin, theta, NTH_M_ESH09, ii, err); + forwardError(*err, __LINE__,); + + pm1 = get_pm(dc->type, i, dc->Ntheta, err); + forwardError(*err, __LINE__,); + + for (mz=cj=0; mzNzcorr; mz++) { + for (j=0;jNtheta;j++,cj++) { + + jj = find_bin(dc->theta[j]/arcmin, theta, NTH_M_ESH09, jj, err); + forwardError(*err, __LINE__,); + + pm2 = get_pm(dc->type, j, dc->Ntheta, err); + forwardError(*err, __LINE__,); + + switch (2*pm1 - pm2) { + + case 1 : /* +2 -1: ++ */ + alpha = alpha_pp[ii][jj]; + beta = beta_pp[ii][jj]; + break; + case 3 : /* +2 +1: +- */ + alpha = alpha_pm[ii][jj]; + beta = beta_pm[ii][jj]; + break; + case -3 : /* -2 -1: -+ */ + alpha = alpha_pm[jj][ii]; + beta = beta_pm[jj][ii]; + break; + case -1 : /* -2 +1: -- */ + alpha = alpha_mm[ii][jj]; + beta = beta_mm[ii][jj]; + break; + default : + *err = addErrorVA(lensing_pm, "Invalid pm (%d, %d)", *err, __LINE__, pm1, pm2); + return; + } + + f = pow(model->cosmo->Omega_m / 0.25, alpha) * pow(model->cosmo->sigma_8 / 0.9, beta); + old = gsl_matrix_get(cov, ci, cj); + gsl_matrix_set(cov, ci, cj, f * old); + + } + } + + } + } +} +#undef NTH_M_ESH09 + +/* ============================================================ * + * Lensing signal, shear second-order statistics for angular * + * scale theta [rad]. * + * ============================================================ */ + +double lensing_signal(cosmo_lens *model, double theta, int i_bin, int j_bin, lensdata_t type, + decomp_eb_filter_t decomp_eb_filter, const cosebi_info_t *cosebi_info, error **err) +{ + double res, resp, resm, eta; + const double *a; + int N; + + testErrorRetVA(type!=decomp_eb && decomp_eb_filter!=decomp_eb_none, lensing_type, + "lensdata type (%d) and decomp_eb_filter type (%d) not compatible", + *err, __LINE__, 0.0, type, decomp_eb_filter); + + switch (type) { + + case xip : + res = xi(model, +1, theta, i_bin, j_bin, err); + forwardError(*err, __LINE__, 0); + break; + + case xim : + res = xi(model, -1, theta, i_bin, j_bin, err); + forwardError(*err, __LINE__, 0); + break; + + case map2poly : + res = map2_poly(model, theta, i_bin, j_bin, err); + forwardError(*err, __LINE__, 0); + break; + + case map2gauss : + res = map2_gauss(model, theta, i_bin, j_bin, err); + forwardError(*err, __LINE__, 0); + break; + + case gsqr : + res = gamma2(model, theta, i_bin, j_bin, err); + forwardError(*err, __LINE__, 0); + break; + + case decomp_eb : + + if (decomp_eb_filter == COSEBIs_log) { + + int n = (int)round(theta/arcmin); + testErrorRetVA(n > cosebi_info->n_max, lensing_cosebi_n_max, + "COSEBIs mode %d larger than maximum mode %d", *err, __LINE__, 0.0, n, cosebi_info->n_max); + res = E_cosebi(model, n, cosebi_info->th_min, cosebi_info->th_max, + i_bin, j_bin, cosebi_info->path, NULL, err); + forwardError(*err, __LINE__, 0); + + } else { + + switch (decomp_eb_filter) { + case FK10_SN : a = a_FK10_SN; eta = eta_FK10_SN; N = N_FK10; break; + case FK10_FoM_eta10 : a = a_FK10_FoM_eta10; eta = eta_FK10_FoM_eta10; N = N_FK10; break; + case FK10_FoM_eta50 : a = a_FK10_FoM_eta50; eta = eta_FK10_FoM_eta10; N = N_FK10; break; + case decomp_eb_none : *err = addErrorVA(lensing_type, "decomp_eb_filter type cannot be 'decomp_eb_none'", + *err, __LINE__, decomp_eb_filter); + return 0.0; + default : *err = addErrorVA(lensing_type, "Unknown decomp_eb_filter type %d", + *err, __LINE__, decomp_eb_filter); + return 0.0; + } + resp = RR(model, theta*eta, theta, a, N, cheby2, +1, err); + forwardError(*err, __LINE__, 0.0); + resm = RR(model, theta*eta, theta, a, N, cheby2, -1, err); + forwardError(*err, __LINE__, 0.0); + res = 0.5*(resp + resm); /* E-mode */ + } + break; + + case pkappa : + /* Interpret theta as ell, undo arcminute transformation. */ + res = Pshear(model, theta/arcmin, i_bin, j_bin, err); + forwardError(*err, __LINE__, 0.0); + break; + + case xipm : case nofz : + default : + *err = addErrorVA(ce_unknown, "Unknown or invalid lensdata type %d(%s)", + *err, __LINE__, type, slensdata_t(type)); + return 0.0; + + } + + return res; +} + +/* ============================================================ * + * Lensing log-likelihood function, for second-order real-space * + * functions. * + * Returns chi^2 = -2 log L * + * ============================================================ */ +#define NPERBIN 20 +double chi2_lensing(cosmo_lens* csm, datcov* dc, int return_model, double **model_array, int *Nmodel, + const cosebi_info_t *cosebi_info, error **err) +{ + double *data_minus_model, model, th, dth, w, wtot; + int i, j, in,i_bin, j_bin, Nzbin; + double res, logL, lndetC; + lensdata_t type; + gsl_matrix_view A, B; + gsl_matrix *tmp, *tmp2; + gsl_vector_view x; + + + /* Unphysically high baryon fraction, caused infinite chi^2 values. */ + testErrorRet(csm->cosmo->Omega_b/csm->cosmo->Omega_m>BARYON_FRAC, lensing_baryon_fraction, + "Baryon fraction unphysically high", *err, __LINE__, 0.0); + + Nzbin = csm->redshift->Nzbin; + testErrorRetVA(Nzbin!=dc->Nzbin, redshift_Nzbin, + "Number of redshift bins for model (%d) inconsistent with data (%d)", + *err, __LINE__, 0, Nzbin, dc->Nzbin); + + *model_array = malloc_err(sizeof(double)*dc->n, err); + forwardError(*err, __LINE__, 0); + + data_minus_model = malloc_err(sizeof(double)*dc->n, err); + forwardError(*err, __LINE__, 0); + + + /* Fill model vector */ + + for (i_bin=0,in=0; i_binNtheta; j++,in++) { + + /* First half of data vector = xi+, second half = xi- */ + if (dc->type==xipm) { + if (jNtheta/2) type = xip; + else type = xim; + } else { + type = dc->type; + } + + if (dc->format==angle_mean) { + + /* Average model over bin width */ + dth = (dc->theta2[j]-dc->theta[j])/(double)(NPERBIN-1.0); + for (i=0,model=0.0,th=dc->theta[j]; idecomp_eb_filter, NULL, err); + forwardError(*err, __LINE__, 0.0); + } + model /= (double)NPERBIN; + + } else if (dc->format==angle_wlinear) { + + /* Linear weighting over angular bin */ + dth = (dc->theta2[j]-dc->theta[j])/(double)(NPERBIN-1.0); + for (i=0,model=wtot=0.0,th=dc->theta[j]; idecomp_eb_filter, NULL, err); + forwardError(*err, __LINE__, 0.0); + wtot += w; + } + model /= wtot; + + } else if (dc->format==angle_wquadr) { + + /* Quadratic weighting over angular bin */ + dth = (dc->theta2[j]-dc->theta[j])/(double)(NPERBIN-1.0); + for (i=0,model=wtot=0.0,th=dc->theta[j]; ia1*th/arcmin + dc->a2*dsqr(th/arcmin); + model += w*lensing_signal(csm, th, i_bin, j_bin, type, dc->decomp_eb_filter, NULL, err); + forwardError(*err, __LINE__, 0.0); + wtot += w; + } + model /= wtot; + + } else { + + /* Model at bin center */ + model = lensing_signal(csm, dc->theta[j], i_bin, j_bin, type, dc->decomp_eb_filter, cosebi_info, err); + forwardError(*err, __LINE__, -1); + + } + + testErrorRetVA(in>=dc->n, math_overflow, "Overflow, data index %d>=%d", *err, __LINE__, 0, in, dc->n); + + (*model_array)[in] = model; + data_minus_model[in] = dc->data[in] - model; + + } + } + } + + *Nmodel = in; + + /* Calculate the log-likelihood */ + + res = 0.0; + + if (dc->usecov) { + + gsl_set_error_handler_off(); + x = gsl_vector_view_array(data_minus_model, dc->n); + + switch (dc->cov_scaling) { + case cov_const : + + A = gsl_matrix_view_array(dc->cov[0], dc->n, dc->n); + lndetC = dc->lndetC; + break; + + case cov_ESH09 : + + /* Copy shot noise term D -> tmp */ + tmp = gsl_matrix_alloc(dc->n, dc->n); + A = gsl_matrix_view_array(dc->cov[2], dc->n, dc->n); + i = gsl_matrix_memcpy(tmp, &A.matrix); + testErrorRetVA(i != 0, math_unknown, "Matrix copying failed, gsl return value = %d", + *err, __LINE__, -1, i); + + + /* Copy mixed term M -> tmp2 */ + tmp2 = gsl_matrix_alloc(dc->n, dc->n); + B = gsl_matrix_view_array(dc->cov[1], dc->n, dc->n); + i = gsl_matrix_memcpy(tmp2, &B.matrix); + testErrorRetVA(i != 0, math_unknown, "Matrix copying failed, gsl return value = %d", + *err, __LINE__, -1, i); + + /* Scale mixed term */ + scale_mixed_ESH09(csm, tmp2, dc, err); + //write_matrix(tmp2->data, dc->n, "M_ESH09", err); forwardError(*err, __LINE__, -1.0); + + /* Add mixed to shot noise -> tmp */ + A = gsl_matrix_submatrix(tmp, 0, 0, dc->n, dc->n); + B = gsl_matrix_submatrix(tmp2, 0, 0, dc->n, dc->n); + i = gsl_matrix_add(&A.matrix, &B.matrix); + testErrorRetVA(i != 0, math_unknown, "Matrix addition failed, gsl return value = %d", + *err, __LINE__, -1, i); + + + /* Copy cosmic variance term V -> tmp2 */ + B = gsl_matrix_view_array(dc->cov[0], dc->n, dc->n); + i = gsl_matrix_memcpy(tmp2, &B.matrix); + testErrorRetVA(i != 0, math_unknown, "Matrix copying failed, gsl return value = %d", + *err, __LINE__, -1, i); + + /* Scale cosmic variance term */ + scale_cosmic_variance_ESH09(csm, tmp2, dc, err); + + /* Add cosmic variance to shot+mixed -> tmp */ + A = gsl_matrix_submatrix(tmp, 0, 0, dc->n, dc->n); + B = gsl_matrix_submatrix(tmp2, 0, 0, dc->n, dc->n); + i = gsl_matrix_add(&A.matrix, &B.matrix); + testErrorRetVA(i != 0, math_unknown, "Matrix addition failed, gsl return value = %d", + *err, __LINE__, -1, i); + //write_matrix(tmp->data, dc->n, "tot", err); forwardError(*err, __LINE__, -1.0); + + gsl_matrix_free(tmp2); + + /* Replace res->cov with L, where C = L L^T */ + testErrorRet(gsl_linalg_cholesky_decomp(&A.matrix) == GSL_EDOM, mv_cholesky, + "Cholesky decomposition of covariance matrix failed", *err, __LINE__, -1); + + /* Determinant of the covariance. ln C = 2 ln L */ + //write_matrix(A.matrix.data, dc->n, "L", err); forwardError(*err, __LINE__, -1.0); + lndetC = 2.0 * ln_determinant(A.matrix.data, dc->n, err); + forwardError(*err, __LINE__, -1.0); + + break; + + default : + + *err = addErrorVA(ce_unknown, "Unknown or invalid cov_scaling type %d(%s)", + *err, __LINE__, dc->cov_scaling, scov_scaling_t(dc->cov_scaling)); + return -1.0; + + } + + + /* A has to contain L, with C = L^T L * + * Calculates x = L^{-1} . (data-model). * + * A remains unchanged. */ + gsl_blas_dtrsv(CblasLower, CblasNoTrans, CblasNonUnit, (const gsl_matrix*)(&A.matrix), &x.vector); + + /* x^T . x */ + for (i=0; in; i++) { + res += dsqr(gsl_vector_get(&x.vector, i)); + } + + if (dc->cov_scaling == cov_ESH09) { + gsl_matrix_free(tmp); + } + + } else { + + *err = addError(lensing_inconsistent, "usecov = 0 not valid", *err, __LINE__); + return -1.0; + + } + + testErrorRetVA(res<0.0, math_negative, "Negative chi^2 %g. Maybe the covariance matrix is not positive", + *err, __LINE__, -1.0, res); + + if (! return_model) free(*model_array); + logL = -0.5 * (res + dc->n * ln2pi + lndetC); + + /* New v1.2: Problem with infinite weights solved */ + + return logL; +} +#undef NPERBIN + +/* Solve the equation Nperm = N(N+1)(N+2)/6 for N and returns N */ +#define NMAX 50 +int Nperm_to_Ntheta(int Nperm, error **err) +{ + int N; + + for (N=1; N %d?", + *err, __LINE__, NMAX); + return 0; +} +#undef NMAX + +/* ============================================================ * + * Reads data file into structure dc (has to be initialised * + * before). The file has to have the structure * + * theta_1 theta_2 theta_3 [arcmin] . * + * If Nzbin>0 on input performs a consistency check. * + * ============================================================ */ +void read_data_3rd(datcov *dc, char data_name[], int Nzbin, error **err) +{ + int n, i, j, k, Ncol; + size_t Nrec, Nperm, Nzcorr; + double dNcol; + double *ptr; + + /* Read file to double pointer */ + Nrec = 0; + ptr = (double*)read_any_list_count(data_name, &Nrec, "%lg", sizeof(double), &Nperm, err); + forwardError(*err, __LINE__,); + + /* ============================================================ * + * Nperm is the number of permutations without repetition. * + * ============================================================ */ + + /* Number of lines and columns */ + dNcol = (double)Nrec/(double)Nperm; + Ncol = Nrec/Nperm; + testErrorRet(fabs(dNcol-(double)Ncol)>EPSILON, lensing_inconsistent, "Columns do not have equal length", + *err, __LINE__,); + + Nzcorr = Ncol - 3; + + /* Fill datcov structure */ + dc->Ntheta = Nperm_to_Ntheta(Nperm, err); forwardError(*err, __LINE__,); + dc->Ntheta2 = 0; + dc->Nzbin = Nperm_to_Ntheta(Nzcorr, err); forwardError(*err, __LINE__,); + + dc->Nzcorr = Nzcorr; + dc->n = Nperm*Nzcorr; + + dc->data = malloc_err(sizeof(double)*dc->n, err); forwardError(*err, __LINE__,); + dc->theta = malloc_err(sizeof(double)*dc->Ntheta, err); forwardError(*err, __LINE__,); + dc->theta2 = NULL; /* Only valid format is angle_center */ + dc->var = NULL; + + /* First three columns: angular scales (theta_1 theta_2 theta_3) */ + for (i=n=0; iNtheta; i++) { + for (j=i; jNtheta; j++) { + for (k=j; kNtheta; k++,n++) { + + /* Store angular scale from theta_k for i,j=0 */ + if (i==0 && j==0) { + dc->theta[k] = ptr[Ncol*k+2]*arcmin; + } + + testErrorRetVA(n>=dc->n, math_overflow, "Index overflow (%d>=%d)", + *err, __LINE__,, n, dc->n); + + dc->data[n] = ptr[n*Ncol+3]; + + } + } + } + +} + +/* ============================================================ * + * Reads two files with 2nd- and 3rd-order data, respectively. * + * Copies the data to res. The 3rd-order file can be diagonal * + * or general (3theta) format * + * ============================================================ */ +void read_data_2nd_3rd(datcov *res, char *dataname, char *dataname2, error **err) +{ + datcov *dc, *dc2; + + dc = malloc_err(sizeof(datcov), err); forwardError(*err,__LINE__,); + dc2 = malloc_err(sizeof(datcov), err); forwardError(*err,__LINE__,); + + /* Read second-order file */ + dc->format = res->format; + read_data_tomo(dc, dataname, 0, second_order, err); forwardError(*err, __LINE__,); + + /* Read third-order file, verifying same number of redshift bins as 2nd-order */ + if (res->type==map2gauss_map3gauss_diag || res->type==decomp_eb_map3gauss_diag) { + read_data_tomo(dc2, dataname2, dc->Nzbin, third_order, err); forwardError(*err, __LINE__,); + } else { + read_data_3rd(dc2, dataname2, dc->Nzbin, err); forwardError(*err, __LINE__,); + } + + res->Ntheta = dc->Ntheta; + res->Ntheta2 = dc2->Ntheta; + res->n = dc->n + dc2->n; + res->Nzbin = dc->Nzbin; + res->Nzcorr = dc->Nzcorr; + + testErrorRetVA(dc->Nzbin != dc2->Nzbin, lensing_nzbin, + "Different number of redshift bins for 2nd (%d) and 3rd (%d) order", + *err, __LINE__,, dc->Nzbin, dc2->Nzbin); + + res->theta = malloc_err(sizeof(double)*res->Ntheta, err); forwardError(*err, __LINE__,); + res->theta2 = malloc_err(sizeof(double)*res->Ntheta2, err); forwardError(*err, __LINE__,); + memcpy(res->theta, dc->theta, res->Ntheta*sizeof(double)); + memcpy(res->theta2, dc2->theta, res->Ntheta2*sizeof(double)); + + res->data = malloc_err(sizeof(double)*res->n, err); forwardError(*err, __LINE__,); + memcpy(res->data, dc->data, dc->n*sizeof(double)); + memcpy(res->data + dc->n, dc2->data, dc2->n*sizeof(double)); + + del_data_cov(&dc); + del_data_cov(&dc2); +} diff --git a/Cosmo/src/lensing_3rd.c b/Cosmo/src/lensing_3rd.c new file mode 100644 index 0000000..58b2bbc --- /dev/null +++ b/Cosmo/src/lensing_3rd.c @@ -0,0 +1,1957 @@ +/* ============================================================ * + * lensing_3rd.c * + * Martin Kilbinger 2011 * + * Bispectrum from Hyper-Extended Perturbation Theory (HEPT) * + * See Scoccimarro&Couchman 2001 * + * Old code from 3.cf/num/ps.c: Martin Kilbinger 2006 (later * + * hept.c). * + * Integrated into cosmo_pmc: Martin Kilbinger, Liping Fu 2010 * + * ============================================================ */ + + +#include "lensing_3rd.h" + +#define fastxi + + + +cosmo_3rd *init_parameters_3rd(double OMEGAM, double OMEGADE, double W0_DE, double W1_DE, + double *W_POLY_DE, int N_POLY_DE, + double H100, double OMEGAB, double OMEGANUMASS, + double NEFFNUMASS, double NORM, double NSPEC, + int Nzbin, const int *Nnz, const nofz_t *nofz, const photz_t *photz, double *par_nz, + nonlinear_t NONLINEAR, transfer_t TRANSFER, + growth_t GROWTH, de_param_t DEPARAM, + norm_t NORMMODE, + ia_t IA, ia_terms_t IA_TERMS, double A_IA, + bispmode_t BISPMODE, + ia_3rd_t IA_3RD, ia_3rd_terms_t IA_3RD_TERMS, double A_GGI, double theta_GGI, + double A_GII, double theta_GII, + slc_t slc, double b_slc, double gamma_slc, + error **err) +{ + cosmo_3rd *res; + int m; + + res = malloc_err(sizeof(cosmo_3rd), err); forwardError(*err, __LINE__, NULL); + + /* MKDEBUG TODO: Communicate ia parameters to lens */ + res->lens = init_parameters_lens(OMEGAM, OMEGADE, W0_DE, W1_DE, W_POLY_DE, N_POLY_DE, + H100, OMEGAB, OMEGANUMASS, + NEFFNUMASS, NORM, NSPEC, Nzbin, Nnz, nofz, photz, par_nz, + NONLINEAR, TRANSFER, GROWTH, DEPARAM, + NORMMODE, tomo_all, limber, reduced_none, 0.0, + IA, IA_TERMS, A_IA, err); + forwardError(*err, __LINE__, NULL); + + res->bispmode = BISPMODE; + res->ia = IA_3RD; + res->ia_terms = IA_3RD_TERMS; + res->A_GGI = A_GGI; + res->theta_GGI = theta_GGI; + res->A_GII = A_GII; + res->theta_GII = theta_GII; + res->slc = slc; + res->b_slc = b_slc; + res->gamma_slc = gamma_slc; + + /* Reset pre-computed tables */ + res->k_NL = NULL; + res->n_eff = NULL; + res->scale_NL_amin = -1.0; + for (m=0; m<=2; m++) { + res->B_kappa[m] = NULL; + } + + consistency_parameters_3rd(res, err); forwardError(*err, __LINE__, NULL); + + return res; +} + + +void consistency_parameters_3rd(const cosmo_3rd *self, error **err) +{ + testErrorRet(self->bispmode==PT && self->lens->cosmo->nonlinear!=linear, ce_nonlin, + "bispmode=PT and nonlinear!=linear not consistent", + *err, __LINE__,); + + testErrorRet(self->ia == ia_none && self->ia_terms != ia_3rd_undef, lensing_ia, + "IA terms should be 'ia_undef' for no intrinsic alignment", + *err, __LINE__,); + testErrorRet(self->ia != ia_none && self->ia_terms == ia_3rd_undef, lensing_ia, + "IA terms cannot be 'ia_undef' for intrinsic alignment", + *err, __LINE__,); +} + + +cosmo_3rd *copy_parameters_3rd_only(cosmo_3rd *source, error **err) +{ + cosmo_3rd *res; + + res = init_parameters_3rd(source->lens->cosmo->Omega_m,source->lens->cosmo->Omega_de, + source->lens->cosmo->w0_de, source->lens->cosmo->w1_de, + source->lens->cosmo->w_poly_de, source->lens->cosmo->N_poly_de, + source->lens->cosmo->h_100, source->lens->cosmo->Omega_b, + source->lens->cosmo->Omega_nu_mass, source->lens->cosmo->Neff_nu_mass, + source->lens->cosmo->normalization, source->lens->cosmo->n_spec, + source->lens->redshift->Nzbin, source->lens->redshift->Nnz, + source->lens->redshift->nofz, source->lens->redshift->photz, source->lens->redshift->par_nz, + source->lens->cosmo->nonlinear, source->lens->cosmo->transfer, + source->lens->cosmo->growth, source->lens->cosmo->de_param, + source->lens->cosmo->normmode, + source->lens->ia, source->lens->ia_terms, source->lens->A_ia, + source->bispmode, + source->ia, source->ia_terms, source->A_GGI, source->theta_GGI, + source->A_GII, source->theta_GII, + source->slc, source->b_slc, source->gamma_slc, + err); + forwardError(*err, __LINE__, NULL); + + return res; +} + + + +void updateFrom_3rd(cosmo_3rd *avant, cosmo_3rd *apres, error **err) +{ + int m, Nzbin, Nzcorr; + + updateFrom_lens(avant->lens, apres->lens, err); + forwardError(*err, __LINE__,); + + /* TODO: change_.. functions */ + del_interTable(&(apres->k_NL)); + del_interTable(&(apres->n_eff)); + apres->scale_NL_amin = -1.0; + + Nzbin = apres->lens->redshift->Nzbin; + Nzcorr = Nzbin*(Nzbin+1)*(Nzbin+2)/6; + for (m=0; m<=2; m++) del_interTable2D_arr(&(apres->B_kappa[m]), Nzcorr); +} + + +#define NZBIN 1 +#define NNZ 5 +cosmo_3rd *set_cosmological_parameters_to_default_lens_3rd(error **err) +{ + cosmo_3rd *res; + + int Nnz[NZBIN] = {NNZ}; + double par_nz[NZBIN*NNZ] = {0.0, 6.0, 0.612, 8.125, 0.62}; + nofz_t nofz[NZBIN] = {ymmk}; + photz_t photz[NZBIN] = {photz_no}; + + res = init_parameters_3rd(0.25, 0.75, -1.0, 0.0, NULL, 0, 0.70, 0.044, 0.0, 0.0, 0.80, 1.0, + NZBIN, Nnz, nofz, photz, par_nz, smith03, eisenhu, growth_de, linder, + norm_s8, ia_none, ia_undef, 0.0, SCOCOU, + ia_3rd_none, ia_3rd_undef, 0.0, 0.0, 0.0, 0.0, slc_none, 0.0, 0.0, + err); + forwardError(*err, __LINE__, NULL); + + return res; +} +#undef NZBIN +#undef NNZ + +void read_cosmological_parameters_lens_3rd(cosmo_3rd **self, FILE *F, error **err) +{ + cosmo_3rd *tmp; + struct { char cosmo_lens_file[128], sbispmode[128], + sia[128], sia_terms[128], sslc[128]; } tmp2; + config_element c = {0, 0.0, ""}; + int j; + FILE *FD; + + tmp = set_cosmological_parameters_to_default_lens_3rd(err); + forwardError(*err, __LINE__,); + + CONFIG_READ_S(&tmp2, cosmo_lens_file, s, F, c, err); + if (strcmp(tmp2.cosmo_lens_file, "-")!=0) { + FD = fopen_err(tmp2.cosmo_lens_file, "r", err); + forwardError(*err, __LINE__,); + } else { + FD = F; + } + read_cosmological_parameters_lens(&tmp->lens, FD, err); + forwardError(*err, __LINE__,); + if (strcmp(tmp2.cosmo_lens_file, "-")!=0) fclose(FD); + + /* Now read 3rd-order parameters */ + CONFIG_READ_S(&tmp2, sbispmode, s, F, c, err); + STRING2ENUM(tmp->bispmode, tmp2.sbispmode, bispmode_t, sbispmode_t, j, Nbispmode_t, err); + + /* Intrinsic alignment */ + CONFIG_READ_S(&tmp2, sia, s, F, c, err); + STRING2ENUM(tmp->ia, tmp2.sia, ia_3rd_t, sia_3rd_t, j, Nia_3rd_t, err); + switch (tmp->ia) { + + case ia_3rd_S08 : + CONFIG_READ_S(&tmp2, sia_terms, s, F, c, err); + STRING2ENUM(tmp->ia_terms, tmp2.sia_terms, ia_3rd_terms_t, sia_3rd_terms_t, j, Nia_3rd_terms_t, err); + + CONFIG_READ(tmp, A_GGI, d, F, c, err); + CONFIG_READ(tmp, theta_GGI, d, F, c, err); + tmp->theta_GGI *= arcmin; + + CONFIG_READ(tmp, A_GII, d, F, c, err); + CONFIG_READ(tmp, theta_GII, d, F, c, err); + tmp->theta_GII *= arcmin; + break; + + default : /* none */ + tmp->ia_terms = ia_3rd_undef; + tmp->A_GGI = 0.0; + tmp->theta_GGI = 0.0; + tmp->A_GII = 0.0; + tmp->theta_GII = 0.0; + break; + + } + + /* Source-lens clustering */ + CONFIG_READ_S(&tmp2, sslc, s, F, c, err); + STRING2ENUM(tmp->slc, tmp2.sslc, slc_t, sslc_t, j, Nslc_t, err); + switch (tmp->slc) { + case slc_none : + break; + case slc_FK13 : + CONFIG_READ(tmp, b_slc, d, F, c, err); + CONFIG_READ(tmp, gamma_slc, d, F, c, err); + break; + } + + + *self = copy_parameters_3rd_only(tmp, err); + forwardError(*err, __LINE__,); + + free_parameters_3rd(&tmp); +} + +void free_parameters_3rd(cosmo_3rd **self) +{ + int m, Nzbin, Nzcorr; + cosmo_3rd *s; + + s = *self; + del_interTable(&s->k_NL); + del_interTable(&s->n_eff); + Nzbin = s->lens->redshift->Nzbin; + Nzcorr = Nzbin*(Nzbin+1)*(Nzbin+2)/6; + for (m=0; m<=2; m++) del_interTable2D_arr(&(s->B_kappa[m]), Nzcorr); + + free_parameters_lens(&s->lens); + free(s); + s = NULL; +} + +void dump_param_3rd(cosmo_3rd* self, FILE *F, error **err) +{ + dump_param_lens(self->lens, F, 1, err); + forwardError(*err, __LINE__,); + + fprintf(F, "# (s)bispmode=%s(%d) (s)ia=%s(%d) (s)ia_terms=(%s)%d ", + sbispmode_t(self->bispmode), self->bispmode, + sia_3rd_t(self->ia), self->ia, sia_3rd_terms_t(self->ia_terms), self->ia_terms); + fprintf(F, "A_GGI=%g theta_GGI=%g' A_GII=%g theta_GII=%g'", + self->A_GGI, self->theta_GGI/arcmin, self->A_GII, self->theta_GII/arcmin); + fprintf(F, "(s)slc=%s(%d) b_slc=%g gamma_slc=%g\n", + sslc_t(self->slc), self->slc, self->b_slc, self->gamma_slc); +} + +double dcub(double a) +{ + return a*a*a; +} + +double n_eff_one(cosmo *self, double k, error **err) +{ + double hh, n, error; + + hh = k/20.0; + + /* the slope of P_L only depends on k, not on a */ + n = sm2_dfridr(P_L, k, hh, &error, 0.9, self, err); + forwardError(*err,__LINE__, 0); + n *= k/P_L(self, 0.9, k, err); + forwardError(*err,__LINE__, 0); + + testErrorRetVA(!isfinite(n), ce_infnan, "inf or nan encountered, k = %g", + *err, __LINE__, 0.0, n, k); + + return n; +} + +/* See also cosmo:n_L */ +double n_eff(cosmo_3rd *self, double k, int check, error **err) +{ + double n, klog, kk, dk, logsmax, logsmin; + int i; + + if (self->n_eff == NULL) { + + logsmin = log(s_min); + logsmax = log(s_max); + dk = (logsmax - logsmin)/((double)N_s - 1.0); + self->n_eff = init_interTable(N_s, logsmin, logsmax, dk, 0.0, 0.0, err); + forwardError(*err,__LINE__, 0.0); + + for (i=0,klog=logsmin; ilens->cosmo, kk, err); + forwardError(*err,__LINE__, 0.0); + self->n_eff->table[i] = n; + } + + } + + if (k >= s_min && k <= s_max) { + n = interpol_wr(self->n_eff, log(k), err); + forwardError(*err,__LINE__, 0); + } else { + n = n_eff_one(self->lens->cosmo, k, err); + forwardError(*err,__LINE__, 0); + } + + return n; +} + + +/* cf. Sco+Cou (9) */ + +double Q3(double n, error **err) +{ + double q3; + + q3 = (4.0-pow(2.0,n))/(1.0+pow(2.0,n+1.0)); + + testErrorRetVA(!isfinite(q3), ce_infnan, "inf or nan encountered, (n, erg) = (%g, %g)", + *err, __LINE__, 0.0, n, q3); + + testErrorRetVA(q3<0, ce_infnan, "q3 negative, (n, q3) = (%g, %g)", + *err, __LINE__, 0.0, n, q3); + + + return q3; +} + + + +/* used for root finding in scale_NL */ + +double temp_NL(double a, double x, cosmo *self, error **err) +{ + double f; + /* see DHS 03 */ + f = x*x*x/(2.0*pi_sqr)*P_L(self,a,x,err) - 1.0; + forwardError(*err,__LINE__,0); + return f; +} + + +/* ============================================================ * + * Returns k_NL where 4 pi k_NL^3 P_L(k_NL)/(2pi)^3 = 1 * + * ============================================================ */ + +double scale_NL(cosmo_3rd *self, double a, error **err) +{ + double k_NL, xacc, kmin, kmax, da, aa; + int i; + /* FILE *F; */ + + if (self->k_NL==NULL) { + + /* F = fopen("scale_NL", "w"); */ + da = (1.0 - self->lens->cosmo->a_min)/(self->lens->cosmo->N_a-1.0); + self->k_NL = init_interTable(self->lens->cosmo->N_a, self->lens->cosmo->a_min, 1.0, da, 0.0, 0.0, err); + forwardError(*err,__LINE__,0); + + self->scale_NL_amin = 1.0; + for (i=0,aa=self->lens->cosmo->a_min; ilens->cosmo->N_a; i++,aa+=da) { + + kmin = k_min; + kmax = k_max; + + /* look for interval where sign changes */ + while (temp_NL(aa, kmin, self->lens->cosmo, err)*temp_NL(aa, kmax, self->lens->cosmo, err)>=0) { + forwardError(*err,__LINE__,0); + kmin *= 10.0; + kmax *= 10.0; + if (kmax>1.e5) { + self->k_NL->table[i] = -1.0; + /* goto next_i; */ + continue; + } + } + xacc = kmin/100.0; + self->k_NL->table[i] = hept_rtbis(temp_NL, kmin, kmax, xacc, aa, self->lens->cosmo, err); + if (aascale_NL_amin) self->scale_NL_amin = aa; + forwardError(*err,__LINE__,0); + + /* next_i: */ + /* fprintf(F, "%d %f %e\n", i, aa, self->k_NL->table[i]); */ + + } + /* fclose(F); */ + + } + + if (ascale_NL_amin) return -1; + + k_NL = interpol_wr(self->k_NL, a, err); + forwardError(*err,__LINE__,0); + + return k_NL; +} + + +/* ============================================================ * + * The following three functions are the fitting formulae for * + * the non-constant coefficients for the quasilinear bispectrum * + * from Scoccimarro&Couchman 2001, equations (6)-(8), and Gil- * + * Marin 2012, eqs. (2.7) and (2.12). * + * k must be given in h times inverse Mpc. * + * ============================================================ */ + +double ascocou(cosmo_3rd *self, double a, double k, error **err) +{ + double q3, k_NL, q4, s8, erg, n; + double a1, a2, a6; + + switch (self->bispmode) { + case SCOCOU : + a1 = 0.25; + a2 = 3.5; + a6 = -0.2; + break; + + case GM12 : + a1 = 0.484; + a2 = 3.740; + a6 = -0.575; + break; + + default : + *err = addErrorVA(lensing_3rd_wrongmode, "Wrong mode %d", *err, __LINE__, self->bispmode); + return 0.0; + } + + if (alens->cosmo, a, 1.0, err)*self->lens->cosmo->sigma_8; + forwardError(*err,__LINE__,0); + + erg = (1.0 + pow(s8, a6)*q3*q4)/(1.0 + q4); + testErrorRetVA(!isfinite(erg), ce_infnan, "inf or nan encountered, (s8, q3, q4, erg) = (%g, %g, %g, %g)", + *err, __LINE__, 0.0, s8, q3, q4, erg); + + return erg; +} + + + +double bscocou(cosmo_3rd *self, double a, double k, error **err) +{ + double k_NL, q, erg, n; + double a3, a7, a8; + + switch (self->bispmode) { + + case SCOCOU : + a3 = 2.0; + a7 = 1.0; /* Parameter not present in Sco&Cou 2001 */ + a8 = 0.0; /* Parameter not present in Sco&Cou 2001 */ + break; + + case GM12 : + a3 = -0.849; + a7 = 0.128; + a8 = -0.722; + break; + + default : + *err = addErrorVA(lensing_3rd_wrongmode, "Wrong mode %d", *err, __LINE__, self->bispmode); + return 0.0; + } + + + if (abispmode) { + + case SCOCOU : + a4 = 1.0; + a5 = 2.0; + a9 = 0.0; /* Parameter not present in Sco&Cou 2001 */ + break; + + case GM12 : + a4 = 0.392; + a5 = 1.013; + a9 = -0.926; + break; + + default : + *err = addErrorVA(lensing_3rd_wrongmode, "Wrong mode %d", *err, __LINE__, self->bispmode); + return 0.0; + } + + + if (aself; + ell1 = cANDr12->r1; + ell2 = cANDr12->r2; + for (i=0; i<3; i++) n_bin[i] = cANDr12->n_bin[i]; + + ci.self = self->lens->cosmo; + ci.i = 0; + dwda = R_HUBBLE*int_for_w(a, (void*)(&ci), err); forwardError(*err, __LINE__, 0.0); + for (i=0,ggg=1.0; i<3; i++) { + ggg *= G(self->lens, a, n_bin[i], err); + forwardError(*err,__LINE__,0.0); + if (ggg==0.0) return 0.0; + } + + ww = w(self->lens->cosmo, a, 0, err); forwardError(*err, __LINE__, 0.0); + fK = f_K(self->lens->cosmo, ww, err); forwardError(*err, __LINE__, 0.0); + + lens_eff = ggg; + + p1 = P_NL(self->lens->cosmo, a, ell1/fK, err); forwardError(*err, __LINE__, 0.0); + p2 = P_NL(self->lens->cosmo, a, ell2/fK, err); forwardError(*err, __LINE__, 0.0); + + res = lens_eff * dwda/fK * p1 * p2; + + return res; +} + + + +double int_for_B_kappa_bar1(double a, void *intpar, error **err) +{ + double erg, fK, ell1, ell2, ww; + cosmo3ANDtomo *cANDr12; + cosmo_3rd *self; + + cANDr12 = (cosmo3ANDtomo*)intpar; + self = cANDr12->self; + ell1 = cANDr12->r1; + ell2 = cANDr12->r2; + + ww = w(self->lens->cosmo, a, 0, err); forwardError(*err, __LINE__, 0.0); + fK = f_K(self->lens->cosmo, ww, err); forwardError(*err,__LINE__,0); + + erg = ascocou(self, a, ell1/fK, err); forwardError(*err,__LINE__,0); + erg *= ascocou(self, a, ell2/fK, err); forwardError(*err,__LINE__,0); + testErrorRet(!isfinite(erg), ce_infnan, "inf or nan encountered", *err, __LINE__, 0.0); + + erg *= int_for_B_kappa_bar0(a, intpar, err); forwardError(*err,__LINE__,0); + testErrorRet(!isfinite(erg), ce_infnan, "inf or nan encountered", *err, __LINE__, 0.0); + + return erg; +} + + + +double int_for_B_kappa_bar2(double a, void *intpar, error **err) +{ + double erg, fK, ell1, ell2, ww; + cosmo3ANDtomo *cANDr12; + cosmo_3rd *self; + + + cANDr12 = (cosmo3ANDtomo*)intpar; + self = cANDr12->self; + ell1 = cANDr12->r1; + ell2 = cANDr12->r2; + + ww = w(self->lens->cosmo, a, 0, err); forwardError(*err, __LINE__, 0.0); + fK = f_K(self->lens->cosmo, ww, err); forwardError(*err,__LINE__,0); + + erg = bscocou(self, a, ell1/fK, err); forwardError(*err,__LINE__,0); + erg *= bscocou(self, a, ell2/fK, err); forwardError(*err,__LINE__,0); + testErrorRet(!isfinite(erg), ce_infnan, "inf or nan encountered", *err, __LINE__, 0.0); + + erg *= int_for_B_kappa_bar0(a, intpar, err); forwardError(*err,__LINE__,0); + testErrorRet(!isfinite(erg), ce_infnan, "inf or nan encountered", *err, __LINE__, 0.0); + + return erg; +} + + + +double int_for_B_kappa_bar3(double a, void *intpar, error **err) +{ + double erg, fK, ell1, ell2, ww; + cosmo3ANDtomo *cANDr12; + cosmo_3rd *self; + + + cANDr12 = (cosmo3ANDtomo*)intpar; + self = cANDr12->self; + ell1 = cANDr12->r1; + ell2 = cANDr12->r2; + + ww = w(self->lens->cosmo, a, 0, err); forwardError(*err, __LINE__, 0.0); + fK = f_K(self->lens->cosmo, ww, err); forwardError(*err,__LINE__,0.0); + + erg = cscocou(self, a, ell1/fK, err); forwardError(*err,__LINE__,0.0); + erg *= cscocou(self, a, ell2/fK, err); forwardError(*err,__LINE__,0.0); + testErrorRet(!isfinite(erg), ce_infnan, "inf or nan encountered", *err, __LINE__, 0.0); + + erg *= int_for_B_kappa_bar0(a, intpar, err); forwardError(*err,__LINE__,0); + testErrorRet(!isfinite(erg), ce_infnan, "inf or nan encountered", *err, __LINE__, 0.0); + + return erg; +} + + +/* ============================================================ * + * cf. Sco&Cou (5) * + * ============================================================ */ + + +#define eps 1.0e-10 +double F2eff(cosmo_3rd *self, double a, double k1, double k2, double cosphi, error **err) +{ + double f, x; + + switch (self->bispmode) { + + case SCOCOU : case GM12 : + + x = ascocou(self,a,k1,err); forwardError(*err, __LINE__, 0.0); + if (fabs(k1-k2)>eps) { + x *= ascocou(self,a,k2,err); forwardError(*err, __LINE__, 0.0); + } else { + x *= x; + } + f = 5.0/7.0*x; + + x = bscocou(self,a,k1,err); forwardError(*err, __LINE__, 0.0); + if (fabs(k1-k2)>eps) { + x *= bscocou(self,a,k2,err); forwardError(*err, __LINE__, 0.0); + } else { + x *= x; + } + f += 1.0/2.0*(k1/k2+k2/k1)*cosphi*x; + + x = cscocou(self,a,k1,err); forwardError(*err, __LINE__, 0.0); + if (fabs(k1-k2)>eps) { + x *= cscocou(self,a,k2,err); forwardError(*err, __LINE__, 0.0); + } else { + x *= x; + } + f += 2.0/7.0*dsqr(cosphi)*x; + break; + + case PT : + f = 5.0/7.0 + 1.0/2.0*(k1/k2+k2/k1)*cosphi + 2.0/7.0*dsqr(cosphi); + break; + + default : + *err = addErrorVA(lensing_3rd_wrongmode, "Wrong mode %d", *err, __LINE__, self->bispmode); + return 0.0; + + } + + return f; +} + +#undef eps + + +double F2(int q_kappa_term, double l1, double l2, error **err) +{ + if (q_kappa_term == 0) return 10.0/7.0; + if (q_kappa_term == 1) return l1/l2 + l2/l1; + if (q_kappa_term == 2) return 4.0/7.0; + + *err = addError(lensing_3rd_wrongmode, "Wrong term", *err, __LINE__); + return 0.0; + +} + + + +double F2cos(int q_kappa_term, double cosphi, error **err) +{ + if (q_kappa_term == 0) return 1.0; + if (q_kappa_term == 1) return cosphi; + if (q_kappa_term == 2) return dsqr(cosphi); + + *err = addErrorVA(lensing_3rd_wrongmode, "Wrong term %d", *err, __LINE__, q_kappa_term); + return 0.0; +} + + + +/* ============================================================ * + * cf. Sco&Cou (4) * + * ============================================================ */ + + +double Q_123(cosmo_3rd *self, double a, double K1, double K2, double K3, error **err) +{ + double f2, Q, cosphi, P1, P2, P3; + typedef double frr(cosmo *, double, double, error **); + frr *PS[] = {&P_NL, &P_L}; + + if (fabs(K1)bispmode](self->lens->cosmo, a, K1, err); forwardError(*err,__LINE__,0); + P2 = PS[self->bispmode](self->lens->cosmo, a, K2, err); forwardError(*err,__LINE__,0); + P3 = PS[self->bispmode](self->lens->cosmo, a, K3, err); forwardError(*err,__LINE__,0); + + cosphi = (K1*K1 + K2*K2 - K3*K3)/(-2.0*K1*K2); + testErrorRetVA(cosphi<-1-EPSILON || cosphi>1+EPSILON, ce_overflow, "|cosphi=%.10f|>1", + *err, __LINE__, 0.0, cosphi); + + f2 = F2eff(self, a, K1, K2, cosphi, err)*P1*P2; + forwardError(*err,__LINE__,0); + + cosphi = (K2*K2 + K3*K3 - K1*K1)/(-2.0*K2*K3); + testErrorRetVA(cosphi<-1-EPSILON || cosphi>1+EPSILON, ce_overflow, "|cosphi=%.10f|>1", + *err, __LINE__, 0.0, cosphi); + + f2 += F2eff(self, a, K2, K3, cosphi, err)*P2*P3; + forwardError(*err,__LINE__,0); + + cosphi = (K3*K3 + K1*K1 - K2*K2)/(-2.*K3*K1); + testErrorRetVA(cosphi<-1-EPSILON || cosphi>1+EPSILON, ce_overflow, "|cosphi=%.10f|>1", + *err, __LINE__, 0.0, cosphi); + + f2 += F2eff(self, a, K3, K1, cosphi, err)*P3*P1; + forwardError(*err,__LINE__,0); + + Q = 2.0*f2/(P1*P2 + P2*P3 + P3*P1); + + return Q; +} + + + +/* ============================================================ * + * Returns b(k1, k2, cosphi) from eq. (21/PT) or (27/HEPT) * + * ============================================================ */ + +double bb(cosmo_3rd *self, double k1, double k2, double cosphi, int i_bin, int j_bin, int k_bin, error **err) +{ + int m; + double b, btmp; + + if (self->bispmode==PT) { + + for (m=0,b=0.0; m<=2; m++) { + btmp = F2(m, k1, k2, err); forwardError(*err, __LINE__, 0.0); + btmp *= F2cos(m, cosphi, err); forwardError(*err,__LINE__,0); + b += btmp; + } + b = b*B_kappa_bar(self, k1, k2, 0, i_bin, j_bin, k_bin, err); + forwardError(*err,__LINE__,0); + + } else { + + for (m=0,b=0; m<=2; m++) { + btmp = F2(m, k1, k2, err); forwardError(*err, __LINE__, 0.0); + btmp *= F2cos(m, cosphi, err); forwardError(*err, __LINE__, 0.0); + btmp *= B_kappa_bar(self, k1, k2, m+1, i_bin, j_bin, k_bin, err); + forwardError(*err, __LINE__, 0.0); + b += btmp; + } + + } + + return b; +} + +/* ============================================================ * + * Calculates the bispectrum of the convergence. * + * scocou=0 gives the bispectrum * + * with a=b=c=1,scocou=1,2,3 returns the integrated (bispectrum * + * times a*a, b*b, c*c). bispmode=0, 1, determines whether * + * SCO&COU or PT method is used. * + * The full convergence bispectrum is: * + * for HEPT: * + * b(s1, s2, phi) = sum_{m=0}^2 F2(m, s1, s2)*F2cos(m, cosphi) * + * *B_kappa_bar(s1, s2, m+1, [SCOCOU|GM12]) * + * * + * for perturbation theory: * + * b(s1, s2, phi) = sum_{m=0}^2 F2(m, s1, s2)*F2cos(m, cosphi) * + * *B_kappa_bar(s1, s2, 0, PT) + cycl * + * * + * = (2pi)^2 [ b(s1, s2, phi12) * + * + b(s2, s3, phi23) + b(s3, s1, phi31)] * + * * + * There occur small rounding errors when data is written * + * to a file. The returned value may thus depend on whether the * + * bispectrum is calculated or read from file. * + * ============================================================ */ + + +double B_kappa_bar(cosmo_3rd *self, double s1, double s2, int abc, int i_bin, int j_bin, int k_bin, error **err) +{ + double ds, logsmin, logsmax; + double ss1, ss2, s1log, s2log, f1, f2, a, da; + int i, j, m, Nzcorr, Nzbin, ii, jj, kk, index; + + funcwithpars int_for_B[] = {&int_for_B_kappa_bar0, &int_for_B_kappa_bar1, + &int_for_B_kappa_bar2, &int_for_B_kappa_bar3}; + cosmo3ANDtomo intpar; + + testErrorRetVA(abc<0 || abc>3, lensing_3rd_wrongmode, "Wrong term abc=%d", *err, __LINE__, 0.0, abc); + testErrorRetVA(self->bispmode!=PT && self->bispmode!=SCOCOU && self->bispmode!=GM12, + lensing_3rd_wrongmode, "Wrong bispectrum mode %d", *err, __LINE__, 0.0, self->bispmode); + testErrorRetVA((abc==0 && (self->bispmode==SCOCOU || self->bispmode==GM12)) || (abc>0 && self->bispmode==PT), + lensing_3rd_wrongmode, "wrong combination of bispmode (%d) and term (abc=%d)", *err, __LINE__, 0.0, + self->bispmode, abc); + + Nzbin = self->lens->redshift->Nzbin; + Nzcorr = Nzbin*(Nzbin+1)*(Nzbin+2)/6; + if (self->B_kappa[0]==NULL) { + + logsmin = log(s2_min); + logsmax = log(s2_max); + ds = (logsmax - logsmin)/((double)N_s2 - 1.0); + + /* if bispmode=PT, B_kappa[0] is used. Else, B_kappa[0,1,2] are used. */ + for (m=0; m<=2; m++) { + self->B_kappa[m] = init_interTable2D_arr(Nzcorr, N_s2, logsmin, logsmax, ds, N_s2, logsmin, logsmax, ds, + 0.0, 0.0, err); + forwardError(*err,__LINE__,0.0); + } + + da = (1.0 - self->lens->cosmo->a_min)/(self->lens->cosmo->N_a-1.0); + + intpar.self = self; + + for (ii=0; iibispmode==PT) { + +#ifndef fastxi + if (self->lens->cosmo->a_min<0.5) { + f1 = sm2_qromberg(int_for_B[0], (void*)&intpar, self->lens->cosmo->a_min, 0.5, 1.0e-6, err); + forwardError(*err,__LINE__,0); + f2 = sm2_qrombergo(int_for_B[0], (void*)&intpar, 0.5, 1.0, sm2_midpntberg, 1.0e-7, err); + forwardError(*err,__LINE__,0); + } else { + f1 = 0.0; + f2 = sm2_qrombergo(int_for_B[0], (void*)&intpar, self->lens->cosmo->a_min, 1.0, + sm2_midpntberg, 1.0e-7, err); + forwardError(*err,__LINE__,0); + } +#else + for (a=self->lens->cosmo->a_min,f1=0.0; a<1.0; a+=da) { + f1 += int_for_B[0](a, (void*)&intpar, err); + forwardError(*err, __LINE__, 0.0); + } + forwardError(*err,__LINE__,0); + f1 *= da; + f2 = 0.0; +#endif + //self->B_kappa[0][index]->table[i][j] = log(f1+f2); + self->B_kappa[0][index]->table[i][j] = (f1+f2); // MKDEBUG + + } else { /* HEPT */ + + for (m=0; m<=2; m++) { + +#ifndef fastxi + if (self->lens->cosmo->a_min<0.5) { + f1 = sm2_qromberg(int_for_B[m+1], (void*)&intpar, self->lens->cosmo->a_min, 0.5, 1.0e-6, err); + forwardError(*err,__LINE__,0); + f2 = sm2_qrombergo(int_for_B[m+1], (void*)&intpar, 0.5, 1.0, sm2_midpntberg, 1.0e-7, err); + forwardError(*err,__LINE__,0); + } else { + f1 = 0.0; + f2 = sm2_qrombergo(int_for_B[m+1], (void*)&intpar, self->lens->cosmo->a_min, 1.0, + sm2_midpntberg, 1.0e-7, err); + forwardError(*err,__LINE__,0); + } +#else + for (a=self->lens->cosmo->a_min,f1=0.0; a<1.0; a+=da) { + f1 += int_for_B[m+1](a, (void*)&intpar, err); + forwardError(*err,__LINE__,0); + } + f1 *= da; + f2 = 0.0; +#endif + //if (!isfinite(f1 + f2) || f1+f2 < 0) { printf("f1+f2 = %g for (s1,s2) = (%g,%g), #(%d,%d)\n", f1+f2, ss1, ss2, i, j); } + + //self->B_kappa[m][index]->table[i][j] = log(f1+f2); // MKDEBUG + self->B_kappa[m][index]->table[i][j] = (f1+f2); + + } + } + } + } + } + } + } + } + + s1log = log(s1); + s2log = log(s2); + index = idx_zzz(i_bin, j_bin, k_bin, Nzbin); + f1 = interpol2D(self->B_kappa[self->bispmode==PT? 0: abc-1][index], s1log, s2log, err); + forwardError(*err,__LINE__,0); + + testErrorRet(!isfinite(f1), ce_infnan, "inf or nan", *err, __LINE__, 0.0); + + //fprintf(stderr, "B_kappa: %g %g %g %g\n", s1, s2, f1, exp(f1)); + //f1 = exp(f1); + return f1; +} + + +/* ============================================================ * + * mathmatical functions (mainly from Num Rec) * + * ============================================================ */ + +#define JMAX 40 + +double hept_rtbis(double (*func)(double,double,cosmo*,error**), + double x1, double x2, double xacc, double a, + cosmo *self, error **err) +{ + int j; + double dx,f,fmid,xmid,rtb; + + f=(*func)(a, x1, self, err); forwardError(*err,__LINE__,0); + fmid=(*func)(a, x2, self, err); forwardError(*err,__LINE__,0); + if (f*fmid >= 0.0) { + *err = addError(lensing_3rd_rootbracket, "root must be bracketed for bisection", *err, __LINE); + return 0.0; + } + rtb = f < 0.0 ? (dx=x2-x1,x1) : (dx=x1-x2,x2); + for (j=1;j<=JMAX;j++) { + fmid = (*func)(a, xmid=rtb+(dx *= 0.5), self, err); forwardError(*err,__LINE__,0); + if (fmid <= 0.0) rtb=xmid; + if (fabs(dx) < xacc || fmid == 0.0) return rtb; + } + *err = addError(ce_tooManySteps,"Too many bisections", *err, __LINE__); + return 0.0; +} + +#undef JMAX + + +/* ============================================================ * + * 3d matter bispectrum. *Not* used for parallel sampling, * + * contains static variable! * + * ============================================================ */ +#define eps 1.0e-10 +#define N_K2 N_s2 +#define K_MIN (s_min) +#define K_MAX (s_max) +double B_delta(cosmo_3rd *self, double k1, double k2, double cosbeta, double a, + error **err) +{ + double res, dk, k1log, k2log, kk1, kk2, x, ww, fK; + static interTable2D *Bdelta[3] = {NULL, NULL, NULL}; + static double this_a=-1.0; + int i, j, m; + + testErrorRetVA(fabs(cosbeta)>1.0+eps, math_overflow, "cosbeta=%.25f out of range", + *err, __LINE__, 0.0, cosbeta); + assert(k1>0); assert(k2>0); + + if (cosbeta>1.0) cosbeta = 1.0; + if (cosbeta<-1.0) cosbeta = -1.0; + + + if (fabs(this_a-a)>eps) { + + //fprintf(stderr, "Tabulating B_delta for a=%g\n", a); + + for (m=0; m<=2; m++) { + if (Bdelta[m]!=NULL) del_interTable2D(&(Bdelta[m])); + } + dk = (log(K_MAX)-log(K_MIN))/((double)N_K2-1.0); + for (m=0; m<=2; m++) { + Bdelta[m] = init_interTable2D(N_K2, log(K_MIN), log(K_MAX), dk, N_K2, log(K_MIN), + log(K_MAX), dk, 0.0, 0.0, err); + forwardError(*err, __LINE__, 0.0); + } + + ww = w(self->lens->cosmo, a, 0, err); forwardError(*err, __LINE__, 0.0); + fK = f_K(self->lens->cosmo, ww, err); forwardError(*err, __LINE__, 0.0); + + for (i=0,k1log=log(K_MIN); ilens->cosmo, a, kk1/fK, err); forwardError(*err, __LINE__, 0.0); + if (i!=j) { + x *= P_NL(self->lens->cosmo, a, kk2/fK, err); forwardError(*err, __LINE__, 0.0); + } else { + x *= x; + } + + for (m=0; m<=2; m++) { + Bdelta[m]->table[i][j] = x; + } + + if (self->bispmode==SCOCOU || self->bispmode==GM12) { + + x = ascocou(self, a, kk1/fK, err); forwardError(*err, __LINE__, 0.0); + if (i!=j) { + x *= ascocou(self, a, kk2/fK, err); forwardError(*err, __LINE__, 0.0); + } else { + x *= x; + } + + Bdelta[0]->table[i][j] *= x; + + x = bscocou(self, a, kk1/fK, err); forwardError(*err, __LINE__, 0.0); + if (i!=j) { + x *= bscocou(self, a, kk2/fK, err); forwardError(*err, __LINE__, 0.0); + } else { + x *= x; + } + Bdelta[1]->table[i][j] *= x; + + x = cscocou(self, a, kk1/fK, err); forwardError(*err, __LINE__, 0.0); + if (i!=j) { + x *= cscocou(self, a, kk2/fK, err); forwardError(*err, __LINE__, 0.0); + } else { + x *= x; + } + Bdelta[2]->table[i][j] *= x; + } else { + /* PT-term = 1 */ + } + + } + } + for (i=0; itable[i][j] = log(Bdelta[m]->table[i][j]); + } + } + } + + this_a = a; + } + + if (k1>K_MAX || k2>K_MAX) { + return 0.0; + } + if (k1lens->cosmo, a, 0, err); forwardError(*err, __LINE__, 0.0); + fK = f_K(self->lens->cosmo, ww, err); forwardError(*err, __LINE__, 0.0); + + res = P_NL(self->lens->cosmo, a, k1/fK, err); forwardError(*err, __LINE__, 0.0); + if (fabs(k1-k2)>eps) { + res *= P_NL(self->lens->cosmo, a, k2/fK, err); forwardError(*err, __LINE__, 0.0); + } else { + res *= res; + } + return res; + } + + for (m=0,res=0.0; m<=2; m++) { + x = interpol2D(Bdelta[m], log(k1), log(k2), err); forwardError(*err, __LINE__, 0.0); + x = exp(x); + x *= F2(m, k1, k2, err); forwardError(*err, __LINE__, 0.0); + x *= F2cos(m, cosbeta, err); forwardError(*err, __LINE__, 0.0); + res += x; + } + + + return res; +} + +#undef eps +#undef N_K2 +#undef K_MIN +#undef K_MAX + +/* ============================================================ * + * Aperture-mass statistics * + * ============================================================ */ + +/* ============================================================ * + * FT of the Map-filter. * + * ============================================================ */ +double Uhat_one(double x, filter_t wfilter) +{ + const double etamin = 0.1; + double uhat; + + switch (wfilter) { + case fgauss : + uhat = x*x/2.0*exp(-x*x/2.0); + return uhat; + + case fpoly : + if (xoffset; i--) { + x[i] = x[i-1]; + } + x[offset] = tmp; +} + + +double int_for_map3_3d(double x[], size_t dim, void *intpar) +{ + const double eps = 1.0e-15; + + double R[3], res, l1, l2, phi, cp, det; + filter_t wfilter; + int i, m, n_bin[3]; + cosmo_3rd *self; + error **err; + cosmo3ANDmorestuff *extra; + + //assert(intbeta==1); + + l1 = exp(x[0]); l2 = exp(x[1]); phi = x[2]; + + extra = (cosmo3ANDmorestuff*)intpar; + self = extra->self; + for (i=0; i<3; i++) R[i] = extra->R[i]; + for (i=0; i<3; i++) n_bin[i] = extra->n_bin[i]; + wfilter = extra->wfilter; + m = extra->m; + err = extra->err; + + res = l1*l1*Uhat(l1*R[0], wfilter); + + /* MKDEBUG TODO: Get rid of inf tests */ + testErrorRet(!isfinite(res), ce_infnan, "inf or nan", *err, __LINE__, 0.0); + + res *= l2*l2*Uhat(l2*R[1], wfilter); + + testErrorRet(!isfinite(res), ce_infnan, "inf or nan", *err, __LINE__, 0.0); + + cp = cos(phi); + det = dsqr(l1*R[2]) + dsqr(l2*R[2]) + 2.0*l1*l2*dsqr(R[2])*cp; + if (detbispmode==PT?0:m+1, n_bin[0], n_bin[1], n_bin[2], err); + forwardError(*err, __LINE__, 0.0); + + testErrorRetVA(!isfinite(res), ce_infnan, "inf or nan for (l1, l2)=(%g,%g)", *err, __LINE__, 0.0, l1, l2); + + return res; +} + + +/* ============================================================= * + * as integral over convergence bispectrum. Returns only * + * one of the three permutation terms of KS05 eq. (12). * + * Do not use this function directly, call map3 instead! * + * ============================================================= */ +double map3_perm(cosmo_3rd *self, double R[3], int i_bin, int j_bin, int k_bin, filter_t wfilter, error **err) +{ + const int calls = 5000; + + double xl[3], xu[3], m3, res, abserr, chisqr, dim; + int i, m; + cosmo3ANDmorestuff intpar; + + gsl_monte_vegas_state *mc_state; + gsl_monte_function F; + const gsl_rng_type *T; + gsl_rng *r; + + /* initialize workspace */ + dim = 3; + mc_state = gsl_monte_vegas_alloc(dim); + gsl_monte_vegas_init(mc_state); + + /* integrand function and parameters */ + //if (intbeta==0) F.f = int_for_map3; + //else + F.f = int_for_map3_3d; + F.dim = dim; + F.params = (void*)&intpar; + + /* random number generator */ + gsl_rng_env_setup(); + T = gsl_rng_default; + r = gsl_rng_alloc(T); + + /* additional parameters */ + intpar.self = self; + for (i=0; i<3; i++) intpar.R[i] = R[i]; + intpar.n_bin[0] = i_bin; + intpar.n_bin[1] = j_bin; + intpar.n_bin[2] = k_bin; + intpar.wfilter = wfilter; + intpar.err = err; + + /* l-integration boundaries */ + xl[0] = xl[1] = log(s2_min); + xu[0] = xu[1] = log(s2_max); + + /* phi-integration boundaries (unused for wfilter=gauss) */ + xl[2] = 0.0; xu[2] = twopi; + + /* Vegas MC integration */ + + for (m=0,res=0.0; m<=2; m++) { + intpar.m = m; + gsl_monte_vegas_integrate(&F, xl, xu, dim, calls, r, mc_state, &m3, &abserr); + forwardError(*err,__LINE__,0); + chisqr = mc_state->chisq; + + if (0) { + if (abserr>fabs(m3)) { + fprintf(stderr, "Warning: |m3|5.0) { + fprintf(stderr, "Warning: chi^2 (%f)>2, (m3,abserr)=(%e,%e)\n", + chisqr, m3, abserr); + } + } + + res += m3; + } + + testErrorRet(!isfinite(res), ce_infnan, "inf or nan", *err, __LINE__, -1.0); + + gsl_monte_vegas_free(mc_state); + gsl_rng_free(r); + + res = res/(twopi*twopi*twopi); + return res; +} + + + +/* ============================================================ * + * as integral over convergence bispectrum. Returns sum * + * of three permutation terms of KS05 eq. (12). * + * ============================================================ */ +double map3(cosmo_3rd *self, double R[3], int i_bin, int j_bin, int k_bin, filter_t wfilter, error **err) +{ + const double eps = 1.0e-3*arcmin; + double myR[3], m3; + double GGI, GII, III, SLC; + int i; + + GGI = GII = III = 0.0; + + if (fabs(R[0]-R[1])ia) { + + case ia_3rd_S08 : + if (self->ia_terms == ia_GGI_GII_III || self->ia_terms == ia_only_GGI) { + GGI = map3_GGI(self, R[0], err); + forwardError(*err,__LINE__,0.0); + } + if (self->ia_terms == ia_GGI_GII_III || self->ia_terms == ia_only_GII) { + GII = map3_GII(self, R[0], err); + forwardError(*err,__LINE__,0.0); + } + break; + + default : + break; + } + + /* Source-lens clustering */ + SLC = 0.0; + switch (self->slc) { + + case slc_FK13 : + testErrorRet(i_bin != j_bin || j_bin != k_bin, lensing_tomoij, + "SLC (mode 'slc_FK13') not implemented for tomography", + *err, __LINE__, 0.0); + SLC = map3_SLC_t1(self, R[0], i_bin, err); + forwardError(*err,__LINE__,0.0); + break; + + default : + break; + + } + + } else { + + /* General skewness, sum up three permutations */ + for (i=0; i<3; i++) myR[i] = R[i]; + for (i=0,m3=0.0; i<3; i++) { + m3 += map3_perm(self, myR, i_bin, j_bin, k_bin, wfilter, err); + forwardError(*err,__LINE__,0); + permute3(myR, 0); + } + + testErrorRet(self->ia != ia_3rd_undef, lensing_ia, + "Intrinsic aligment for general skewness not yet known", + *err, __LINE__, 0.0); + + testErrorRet(self->slc != slc_none, lensing_3rd_slc, + "Intrinsic aligment for general skewness not yet known", + *err, __LINE__, 0.0); + + } + + return m3 + GGI + GII + III + SLC; +} + +/* ============================================================ * + * S+10 eq (19). * + * ============================================================ */ +double int_for_E_GGI(cosmo_lens *self, double zs1, double zs2, double zl, error **err) +{ + double ws1, ws2, wl, f, fKs; + + /* Sources have to be at higher redshift than lens */ + if (zs1 <= zl || zs2 <= zl) return 0; + + ws1 = w(self->cosmo, 1.0/(zs1 + 1.0), 0, err); forwardError(*err,__LINE__, 0.0); + ws2 = w(self->cosmo, 1.0/(zs2 + 1.0), 0, err); forwardError(*err,__LINE__, 0.0); + wl = w(self->cosmo, 1.0/(zl + 1.0), 0, err); forwardError(*err,__LINE__, 0.0); + + f = f_K(self->cosmo, ws1 - wl, err); forwardError(*err,__LINE__, 0.0); + fKs = f_K(self->cosmo, ws1, err); forwardError(*err,__LINE__, 0.0); + testErrorRetVA(fKscosmo, ws2 - wl, err); forwardError(*err,__LINE__, 0.0); + fKs = f_K(self->cosmo, ws2, err); forwardError(*err,__LINE__, 0.0); + testErrorRetVA(fKsredshift, zl, 0, err); forwardError(*err,__LINE__, 0.0); + + return f; +} + +/* ============================================================ * + * S+10 eq (21). * + * ============================================================ */ +double int_for_E_GII(cosmo_lens *self, double zs, double zl, error **err) +{ + double ws, wl, f, fKs, p; + + /* Sources have to be at higher redshift than lens */ + if (zs <= zl) return 0; + + ws = w(self->cosmo, 1.0/(zs + 1.0), 0, err); forwardError(*err,__LINE__, 0.0); + wl = w(self->cosmo, 1.0/(zl + 1.0), 0, err); forwardError(*err,__LINE__, 0.0); + + f = f_K(self->cosmo, ws - wl, err); forwardError(*err,__LINE__, 0.0); + fKs = f_K(self->cosmo, ws, err); forwardError(*err,__LINE__, 0.0); + testErrorRetVA(fKsredshift, zl, 0, err); forwardError(*err,__LINE__, 0.0); + f *= p * p; + + return f; +} + +/* ============================================================ * + * Double-zs-integration over S+08 eq (19) * + * ============================================================ */ +#define Nz_IA 20.0 +double E_GGI(cosmo_lens *self, error **err) +{ + double dz, zmin, zmax, zs1, zs2, zl, res, integr; + int n_bin = 0; + + zmin = get_zmin(self->redshift, n_bin); + zmax = get_zmax(self->redshift, n_bin); + dz = (zmax - zmin) / Nz_IA; + + res = 0.0; + for (zl=zmin; zl<=zmax; zl+=dz) { + //fprintf(stderr, "MKDEBUG: E_GGI zl=%g ", zl); + for (zs1=zl; zs1<=zmax; zs1+=dz) { + for (zs2=zl; zs2<=zmax; zs2+=dz) { + + integr = int_for_E_GGI(self, zs1, zs2, zl, err); + forwardError(*err,__LINE__, 0.0); + + integr *= prob(self->redshift, zs1, 0, err); + forwardError(*err,__LINE__, 0.0); + + integr *= prob(self->redshift, zs2, 0, err); + forwardError(*err,__LINE__, 0.0); + + res += integr; + } + } + } + + res *= dz*dz*dz; + + return res; +} +/* ============================================================ * + * zs-integration over S+08 eq (21) * + * ============================================================ */ +double E_GII(cosmo_lens *self, error **err) +{ + double dz, zmin, zmax, zs, zl, res, integr; + int n_bin = 0; + + zmin = get_zmin(self->redshift, n_bin); + zmax = get_zmax(self->redshift, n_bin); + dz = (zmax - zmin) / Nz_IA; + + res = 0.0; + for (zl=zmin; zl<=zmax; zl+=dz) { + for (zs=zl; zs<=zmax; zs+=dz) { + + integr = int_for_E_GII(self, zs, zl, err); + forwardError(*err,__LINE__, 0.0); + + integr *= prob(self->redshift, zs, 0, err); + forwardError(*err,__LINE__, 0.0); + + res += integr; + } + } + + res *= dz*dz; + + return res; +} +#undef Nz_IA + + +/* ============================================================ * + * GGI contribution to Map^3_diag, S+08 model. * + * Note: 10^-7 is multiplied in this function, this prefactor * + * is not included in the parameter A_GGI. To obtain a negative * + * IA contribution, A_GGI has to be negative. * + * ============================================================ */ +double map3_GGI(cosmo_3rd *self, double theta, error **err) +{ + double E, A; + + /* [E_GGI] = Mpc/h */ + /* [A_GGI] = -10^-7 h/Mpc */ + + E = E_GGI(self->lens, err); forwardError(*err,__LINE__, -1.0); + A = 1.0e-7 * self->A_GGI * exp(-theta/self->theta_GGI); + + return E * A; +} + +/* ============================================================= * + * GGI contribution to Map^3_diag, S+08 model. * + * Note: 10^-7 is multiplied in this function, this prefactor * + * is not included in the parameter A_GII. To obtain a negative * + * IA contribution, A_GII has to be negative. * + * ============================================================= */ +double map3_GII(cosmo_3rd *self, double theta, error **err) +{ + double E, A; + + /* [E_GII] = Mpc/h */ + /* [A_GII] = -10^-7 h/Mpc */ + + E = E_GII(self->lens, err); forwardError(*err,__LINE__, -1.0); + A = 1.0e-7 * self->A_GII * exp(-theta/self->theta_GII); + + return E * A; +} + + +/* ============================================================ * + * Source-lens clustering. * + * See Bernardeau et al. (1998), Hamana et al. (2002). * + * Here: Only one term instead of two contribute to SLC, since * + * the estimator of M_ap does not have the number density in * + * the denominator. * + * ============================================================ */ + +/* H02 A.17 1st term, for aperture-mass, Gaussian filter */ +double map3_SLC_t1(cosmo_3rd *self, double R, int n_bin, error **err) +{ + const int Na = 30; + + double amin, da, a1, a2, x1, x2, res, abserr, chisqr, q, zmax, w1, w2, f1, f2; + + res = 0.0; + zmax = get_zmax(self->lens->redshift, n_bin); + amin = 1.0 / (1.0 + zmax); + da = (1.0-amin)/(double)(Na-1); + + /* Start outer loop at amin+da, since n(zmax) = 0 */ + for (a1=amin+da; a1<0.999; a1+=da) { + + w1 = w(self->lens->cosmo, a1, 0, err); forwardError(*err, __LINE__, 0.0); + f1 = f_K(self->lens->cosmo, w1, err); forwardError(*err, __LINE__, 0.0); + + x1 = 1.0/(f1*f1); + x1 *= G(self->lens, a1, n_bin, err); forwardError(*err, __LINE__, 0.0); + x1 *= prob(self->lens->redshift, 1.0/a1 - 1.0, n_bin, err); forwardError(*err, __LINE__, 0.0); + x1 /= dsqr(a1); /* dz/da */ + x1 *= bias_SLC(self, a1, err); + + /* Start inner loop at a2+da, since for a1=a2, f_K(w1-w2) = 0 */ + for (a2=a1+da; a2<0.999; a2+=da) { + + w2 = w(self->lens->cosmo, a2, 0, err); forwardError(*err, __LINE__, 0.0); + f2 = f_K(self->lens->cosmo, w2, err); forwardError(*err, __LINE__, 0.0); + + //fprintf(stderr, "MKDBUG (a1, a2) = (%g, %g): ", a1, a2); + + q = Q_mc(self, a1, a2, f1, f2, R, &abserr, &chisqr, err); forwardError(*err, __LINE__, 0.0); + + x2 = dwoverda(self->lens->cosmo, a2, err); forwardError(*err, __LINE__, 0.0); + x2 *= G(self->lens, a2, n_bin, err); forwardError(*err, __LINE__, 0.0); + x2 *= f_K(self->lens->cosmo, w1 - w2, err); forwardError(*err, __LINE__, 0.0); + x2 *= q; + x2 /= a2; + + res += x1 * x2; + + //fprintf(stderr, "q, relerr, chisqr res, x1, x2 = %g %g %g %g, %g, %g\n", q, abserr/q, chisqr, res, x1, x2); + + testErrorRet(!isfinite(res), math_infnan, "res not finite", *err, __LINE__, 0.0); + + } + } + + res *= 9.0 * (self->lens->cosmo->Omega_m + self->lens->cosmo->Omega_nu_mass) * dsqr(da); + res /= R_HUBBLE * R_HUBBLE; + + return res; +} + +double int_for_Q_mc(double x[], size_t dim, void *intpar) +{ + double ell1, ell2, a1, a2, f1, f2, R, y1, y2, res, Uhat12, y1y2; + cosmo3SLC *c3slc; + error **err; + cosmo_3rd *self; + + ell1 = exp(x[0]); + ell2 = exp(x[1]); + + c3slc = (cosmo3SLC*)intpar; + + self = c3slc->self; + err = c3slc->err; + a1 = c3slc->a1; + a2 = c3slc->a2; + f1 = c3slc->f1; + f2 = c3slc->f2; + R = c3slc->R; + + y1 = ell1*R; + y2 = ell2*R; + + //res = k1*k1*Uhat(y1, fgauss); + //res *= k2*k2*Uhat(y2, fgauss); + Uhat12 = Uhat(y1, fgauss) * Uhat(y2, fgauss); + res = ell1*ell1*ell2*ell2 * Uhat12; + + //if (nonlinear==0) res *= P_L(a1, k1/f1)*P_L(a1, k2/f2); + //else if (nonlinear==1) res *= P_NL(a1, k1/f1)*P_NL(a2, k2/f2); + //else assert(0); + res *= P_NL(self->lens->cosmo, a1, ell1/f1, err); forwardError(*err, __LINE__, 0.0); + res *= P_NL(self->lens->cosmo, a2, ell2/f2, err); forwardError(*err, __LINE__, 0.0); + + /* int dbeta/(2pi) Uhat(|y1 + y2|); KM07 (19); (22)? */ + + res *= Uhat12; + + y1y2 = y1 * y2; + res *= 2.0 * ( (1.0/(y1*y1) + 1.0/(y2*y2)) * gsl_sf_bessel_I0(y1y2) + - 2.0 / (y1y2) * gsl_sf_bessel_I1(y1y2) ); + + return res; +} + +double Q_mc(cosmo_3rd *self, double a1, double a2, double f1, double f2, double R, double *abserr, + double *chisqr, error **err) +{ + const int calls = 1000; // MKDEBUG 2000 20000 + const double thresh = 1.0e-3; // MKDEBUG 1.0e-3 + cosmo3SLC intpar; + + double xl[2], xu[2], q; + + gsl_monte_vegas_state *mc_state; + gsl_monte_function F; + const gsl_rng_type *T; + gsl_rng *r; + + /* initialize workspacea */ + mc_state = gsl_monte_vegas_alloc(2); + gsl_monte_vegas_init(mc_state); + + /* integrand function and parameters */ + F.f = int_for_Q_mc; + F.dim = 2; + F.params = &intpar; + + /* random number generator */ + gsl_rng_env_setup(); + T = gsl_rng_default; + r = gsl_rng_alloc(T); + + /* additional parameters */ + intpar.self = self; + intpar.err = err; + intpar.a1 = a1; + intpar.a2 = a2; + intpar.f1 = f1; + intpar.f2 = f2; + intpar.R = R; + + /* integration boundaries */ + xl[0] = xl[1] = log(s_min); + q = -2.0*log(thresh); + xu[0] = xu[1] = log(sqrt(q)/R); + + /* Vegas MC integration */ + gsl_monte_vegas_integrate(&F, xl, xu, 2, calls, r, mc_state, &q, abserr); + forwardError(*err, __LINE__, 0.0); + + *chisqr = mc_state->chisq; + q = q/(twopi*twopi); + + gsl_monte_vegas_free(mc_state); + gsl_rng_free(r); + + int debug = 1; + if (debug) { + if (*abserr>q) { + fprintf(stderr, "Warning: q5.0) { + fprintf(stderr, "Warning: chi^2 (%f)>5, (q,abserr)=(%e,%e) @ (a1,a2)=(%f,%f)\n", + *chisqr, q, *abserr, a1, a2); + } + } + + return q; +} + +/* ============================================================ * + * Bias model for SLC, returns * + * b(z) = 1 + (b_slc - 1)/D+(z)^gamma_slc * + * (Moscardini et al. (1998). * + * ============================================================ */ +double bias_SLC(cosmo_3rd *self, double a, error **err) +{ + double b, dp; + + //b = self->b_slc / pow(a, self->gamma_slc); + + dp = D_plus(self->lens->cosmo, a, 1.0, err); + forwardError(*err, __LINE__, 0.0); + + b = 1.0 + (self->b_slc - 1.0) / pow(dp, self->gamma_slc); + + return b; +} + + +/* ============================================================ * + * Third-order lensing functions. So far no tomography. * + * ============================================================ */ +double lensing_signal_3rd(cosmo_3rd *self, double theta[3], int i_bin, int j_bin, int k_bin, error **err) +{ + double res; + + res = map3(self, theta, i_bin, j_bin, k_bin, fgauss, err); + forwardError(*err, __LINE__, 0.0); + + testErrorRet(!isfinite(res), ce_infnan, "inf or nan", *err, __LINE__, -1.0); + + return res; +} + + +void fill_dmm_map3gauss_diag(cosmo_3rd *self, double *data_minus_model, int start, const double *data, + int Nzbin, int Ntheta, double *theta, error **err) +{ + int i_bin, j_bin, k_bin, in, j; + double theta123[3], model; + + for (i_bin=0,in=start; i_binlens->redshift->Nzbin; + testErrorRetVA(Nzbin!=dc->Nzbin, redshift_Nzbin, + "Number of redshift bins for model (%d) inconsistent with data (%d)", + *err, __LINE__, 0, Nzbin, dc->Nzbin); + + data_minus_model = malloc_err(sizeof(double)*dc->n, err); + forwardError(*err, __LINE__, 0); + + if (dc->type == map2gauss_map3gauss_diag || dc->type == map2gauss_map3gauss) { + type_2nd = map2gauss; + } else if (dc->type == decomp_eb_map3gauss_diag || dc->type == decomp_eb_map3gauss) { + type_2nd = decomp_eb; + } else { + type_2nd = -1; + } + + switch (dc->type) { + + case map3gauss_diag: + fill_dmm_map3gauss_diag(self, data_minus_model, 0, dc->data, Nzbin, dc->Ntheta, dc->theta, err); + forwardError(*err, __LINE__, -1.0); + break; + + case map2gauss_map3gauss_diag: case decomp_eb_map3gauss_diag: + + testErrorRetVA(dc->format != angle_center, lensing_angle_format, + "Lens data format (sformat key in config file) has to be 'angle_center' for lens data type = %s", + *err, __LINE__, -1.0, slensdata_t(dc->type)); + + /* /COSEBIs */ + for (i_bin=0,in=0; i_binNtheta; j++,in++) { + model = lensing_signal(self->lens, dc->theta[j], i_bin, j_bin, type_2nd, dc->decomp_eb_filter, + cosebi_info, err); + forwardError(*err, __LINE__, -1.0); + data_minus_model[in] = dc->data[in] - model; + } + } + } + + /* */ + fill_dmm_map3gauss_diag(self, data_minus_model, in, dc->data, Nzbin, dc->Ntheta2, dc->theta2, err); + forwardError(*err, __LINE__, -1.0); + break; + + case map3gauss: + + testErrorRetVA(Nzbin!=1, redshift_Nzbin, + "Number of redshift bins (%d) cannot be larger than 1 for general third-order aperture mass", + *err, __LINE__, 0, Nzbin); + + fill_dmm_map3gauss(self, data_minus_model, 0, dc->data, dc->Ntheta, dc->theta, err); + forwardError(*err, __LINE__, 0.0); + break; + + case map2gauss_map3gauss: case decomp_eb_map3gauss: + testErrorRetVA(Nzbin!=1, redshift_Nzbin, + "Number of redshift bins (%d) cannot be larger than 1 for general third-order aperture mass", + *err, __LINE__, 0, Nzbin); + + /* /COSEBIs */ + for (i_bin=0,in=0; i_binNtheta; j++,in++) { + model = lensing_signal(self->lens, dc->theta[j], i_bin, j_bin, type_2nd, dc->decomp_eb_filter, + cosebi_info, err); + forwardError(*err, __LINE__, -1.0); + data_minus_model[in] = dc->data[in] - model; + } + } + } + + /* */ + fill_dmm_map3gauss(self, data_minus_model, in, dc->data, dc->Ntheta2, dc->theta2, err); + forwardError(*err, __LINE__, 0.0); + break; + + default: + *err = addError(ce_unknown, "lensdata type 'map3gauss' not yet supported", *err, __LINE__); + return 0.0; + } + + x = gsl_vector_view_array(data_minus_model, dc->n); + A = gsl_matrix_view_array(dc->cov[0], dc->n, dc->n); + + /* Calculate L^{-1} * (data-model) */ + gsl_blas_dtrsv(CblasLower, CblasNoTrans, CblasNonUnit, &A.matrix, &x.vector); + /* Square of the above */ + for (i=0,res=0.0; in; i++) { + res += dsqr(gsl_vector_get(&x.vector, i)); + // fprintf(stderr, "MK %d %g %g\n", i, res, dsqr(gsl_vector_get(&x.vector, i))); + } + + testErrorRetVA(res<0.0, math_negative, "Negative chi^2 %g. Maybe the covariance matrix is not positive", + *err, __LINE__, -1.0, res); + + testErrorRet(!isfinite(res), ce_infnan, "inf or nan", *err, __LINE__, -1.0); + free(data_minus_model); + + logL = -0.5 * (res + dc->n * ln2pi + dc->lndetC); + + /* New v1.2: Problem with infinite weights solved */ + + return logL; +} + diff --git a/Cosmo/src/nofz.c b/Cosmo/src/nofz.c new file mode 100644 index 0000000..20f7db5 --- /dev/null +++ b/Cosmo/src/nofz.c @@ -0,0 +1,1011 @@ +/* ============================================================ * + * nofz.c * + * Martin Kilbinger 2009 * + * ============================================================ */ + +#include "nofz.h" + +/* ============================================================ * + * Initialised redshift without filling in data. * + * ============================================================ */ +redshift_t *init_redshift_empty(int Nzbin, int Nnz_max, error **err) +{ + redshift_t *res; + + res = malloc_err(sizeof(redshift_t), err); forwardError(*err, __LINE__, NULL); + + res->Nzbin = Nzbin; + res->Nnz = calloc_err(Nzbin, sizeof(int), err); forwardError(*err, __LINE__, NULL); + res->Nnz_max = Nnz_max; + res->nofz = calloc_err(Nzbin, sizeof(nofz_t), err); forwardError(*err, __LINE__, NULL); + res->photz = calloc_err(Nzbin, sizeof(photz_t), err); forwardError(*err, __LINE__, NULL); + res->par_nz = calloc_err(Nzbin*Nnz_max, sizeof(double), err); forwardError(*err, __LINE__, NULL); + res->prob_norm = calloc_err(Nzbin, sizeof(double), err); forwardError(*err, __LINE__, NULL); + res->z_rescale = calloc_err(Nzbin, sizeof(double), err); forwardError(*err, __LINE__, NULL); + + return res; +} + +/* ============================================================= * + * Initialises redshift, copies content of the Nzbin-dimensional * + * arrays Nnz, nofz, par_nz and z_rescale. * + * If z_rescale==NULL, initialises with 1. * + * ============================================================= */ +redshift_t *init_redshift(int Nzbin, const int *Nnz, const nofz_t *nofz, const photz_t *photz, + const double *par_nz, const double *z_rescale, error **err) +{ + redshift_t *res; + int n; + + /* The upper limit 1000 is arbitrary, mainly a test whether Nzbin is initialised properly. * + * However, we don't claim that the code works with 999 redshift bins. */ + testErrorRetVA(Nzbin<=0 || Nzbin>1000, redshift_Nzbin, "Number of redshift bins (Nzbin=%d) not valid", + *err, __LINE__, NULL, Nzbin); + + for (n=0; n= 2", + *err, __LINE__, 0, Nnz[n], n); + } + + res = malloc_err(sizeof(redshift_t), err); forwardError(*err, __LINE__, NULL); + + res->Nzbin = Nzbin; + + res->Nnz = malloc_err(Nzbin*sizeof(int), err); forwardError(*err, __LINE__, NULL); + memcpy(res->Nnz, Nnz, Nzbin*sizeof(int)); + + for (n=0,res->Nnz_max=-1; nNnz[n]>res->Nnz_max) res->Nnz_max = res->Nnz[n]; + } + + res->nofz = malloc_err(Nzbin*sizeof(nofz_t), err); forwardError(*err, __LINE__, NULL); + memcpy(res->nofz, nofz, Nzbin*sizeof(nofz_t)); + + res->photz = malloc_err(Nzbin*sizeof(photz_t), err); forwardError(*err, __LINE__, NULL); + memcpy(res->photz, photz, Nzbin*sizeof(photz_t)); + + res->par_nz = malloc_err(Nzbin*res->Nnz_max*sizeof(double), err); + forwardError(*err, __LINE__, NULL); + memcpy(res->par_nz, par_nz, Nzbin*res->Nnz_max*sizeof(double)); + + res->prob_norm = calloc_err(Nzbin, sizeof(double), err); + forwardError(*err, __LINE__, NULL); + + res->z_rescale = malloc_err(Nzbin*sizeof(double), err); + forwardError(*err, __LINE__, NULL); + for (n=0; nz_rescale[n] = z_rescale[n]; + } else { + res->z_rescale[n] = 1.0; + } + } + + return res; +} + +redshift_t *copy_redshift(const redshift_t *REDSHIFT, error **err) +{ + redshift_t *res; + + res = init_redshift(REDSHIFT->Nzbin, REDSHIFT->Nnz, REDSHIFT->nofz, REDSHIFT->photz, REDSHIFT->par_nz, + REDSHIFT->z_rescale, err); + forwardError(*err, __LINE__, NULL); + + testErrorRetVA(REDSHIFT->Nnz_max!=res->Nnz_max, redshift_nnz, "Inconsistent Nz_max (%d!=%d)", + *err, __LINE__, NULL, REDSHIFT->Nnz_max, res->Nnz_max); + + return res; +} + + +void updateFrom_redshift(redshift_t *avant, redshift_t *apres) +{ + if (change_redshift(avant, apres)) { + free(apres->prob_norm); + apres->prob_norm = NULL; + } +} + +void free_redshift(redshift_t **self) +{ + redshift_t *s; + + s = *self; + free(s->Nnz); s->Nnz = NULL; + free(s->nofz); s->nofz = NULL; + free(s->photz); s->photz = NULL; + free(s->par_nz); s->par_nz = NULL; + free(s->prob_norm); s->prob_norm = NULL; + free(s->z_rescale); s->z_rescale = NULL; + free(s); + s = NULL; +} + +/* Useful if redshift changes */ +void free_and_reinit_redshift(redshift_t **self, int Nzbin, int Nnz_max, error **err) +{ + if (*self!=NULL) free_redshift(self); + *self = init_redshift_empty(Nzbin, Nnz_max, err); + forwardError(*err, __LINE__,); +} + +/* ============================================================ * + * The mother of all functions to read redshift stuff from * + * files. Also used by wrappers/nz.c:nz_init. * + * Reads from a config-type file: * + * Nzbin [integer] * + * snzmode [string] * + * Next, depending on nzmode, does * + * - nothing (nz_fit_hist) * + * - reads * + * nzfile [Nzbin strings] * + * and reads redshift from files (nz_read_from_files) * + * ============================================================ */ +void read_redshift_info(redshift_t **self, FILE *F, error **err) +{ + config_element c = {0, 0.0, ""}; + struct { + int Nzbin; + char snzmode[128], **nzfile; + nzmode_t nzmode; + } tmp; + int j; + char s[128]; + + CONFIG_READ(&tmp, Nzbin, i, F, c, err); + CONFIG_READ_S(&tmp, snzmode, s, F, c, err); + STRING2ENUM(tmp.nzmode, tmp.snzmode, nzmode_t, snzmode_t, j, Nnzmode_t, err); + + switch (tmp.nzmode) { + + case nz_fit_hist : + *self = NULL; + return; /* Used only in wrappers:nz.c */ + + case nz_read_from_files : + tmp.nzfile = malloc_err(sizeof(char*)*tmp.Nzbin, err); + forwardError(*err, __LINE__,); + for (j=0; jnofz[n_bin] = nofz; + self->photz[n_bin] = photz; + + if (nofz == single) { + testErrorRet(photz != photz_no, redshift_type, + "Single-redshift n(z) cannot have photometric error type other than 'sphotz=photz_no'", + *err, __LINE__,); + } + + if (nofz==hist) { + + testErrorRet(photz != photz_no, redshift_type, + "Histogram n(z) cannot have photometric error type other than 'sphotz=photz_no'", + *err, __LINE__,); + ptr = read_par_nz_hist(name, self->Nnz+n_bin, err); + forwardError(*err, __LINE__,); + memcpy(self->par_nz + n_bin*self->Nnz_max, ptr, self->Nnz[n_bin]*sizeof(double)); + + } else { + + Nrec = 0; + ptr = (double*)read_any_list_count(name, &Nrec, "%lg", sizeof(double), &Nlines, err); + testErrorRetVA(Nrec!=Nlines, redshift_nnz, + "Number of records (%d) not equal to number of (uncommented) lines (%d) in n(z) file '%s'", + *err, __LINE__,, Nrec, Nlines, name); + self->Nnz[n_bin] = Nlines; + for (i=0; ipar_nz[n_bin*self->Nnz_max+i] = ptr[i]; + } + + } + + free(ptr); +} + +void dump_redshift(redshift_t *self, FILE *F, error **err) +{ + int n_bin; + + dump_redshift_nostruct(self->Nzbin, self->Nnz, self->nofz, self->photz, self->par_nz, self->Nnz_max, F); + fprintf(F, "# Mean redshift ="); + for (n_bin=0; n_binNzbin; n_bin++) { + fprintf(F, " %.3f", zmean(self, n_bin, err)); + forwardError(*err, __LINE__,); + } + fprintf(F, "\n"); +} + +void dump_redshift_nostruct(int Nzbin, int *Nnz, nofz_t *nofz, photz_t *photz, double *par_nz, int Nnz_max, FILE *F) +{ + int n, m; + + /* Number of redshift bins */ + fprintf(F, "# Nzbin = %d\n#", Nzbin); + + /* Redshift distribution type */ + for (n=0; nnofz[n_bin] = nofz; + self->photz[n_bin] = photz; + Nnz_max = self->Nnz_max; + + switch (nofz) { + + case ymmk : + self->Nnz[n_bin] = 5; + self->par_nz[n_bin*Nnz_max+0] = va_arg(args, double); /* z_min */ + self->par_nz[n_bin*Nnz_max+1] = va_arg(args, double); /* z_max */ + self->par_nz[n_bin*Nnz_max+2] = va_arg(args, double); /* a_ymmk */ + self->par_nz[n_bin*Nnz_max+3] = va_arg(args, double); /* b_ymmk */ + self->par_nz[n_bin*Nnz_max+4] = va_arg(args, double); /* c_ymmk */ + testErrorRet(photz != photz_no, redshift_type, + "Histogram n(z) cannot have photometric error type other than 'sphotz=photz_no'", + *err, __LINE__,); + break; + + default : + *err = addErrorVA(redshift_unknown, "Unknown redshift type %d\n", *err, __LINE__, nofz); + return; + } +} + +/* ============================================================ * + * Reads a redshift histogram from the file "name" with columns * + * z_i(left bin corner) n_i * + * The last row contains * + * z_max x * + * where x is not used and can be any number. * + * Returns vector with redshift parameters and sets Nnz * + * accordingly. * + * ============================================================ */ +double *read_par_nz_hist(const char *name, int *Nnz, error **err) +{ + FILE *F; + char c, cpre; + int i, n, nread; + double *par_nz, dummy; + char str[1024]; + char *dummy2; + size_t size; + + /* Number of lines */ + F = fopen(name, "r"); + if (F==NULL) { + sprintf(str, "Could not open file %s", name); + *err = addError(io_file, str, *err, __LINE__); + return NULL; + } + cpre = '\n'; + n = 0; + do { + c = fgetc(F); + if (c=='#' && cpre=='\n') n--; + if (c=='\n') n++; + cpre = c; + } while (c!=EOF); + testErrorRet(n==0, io_file, "File corrupt: no valid line found in n(z) file", *err, __LINE__, NULL); + n--; /* Last line contains z_n 0 */ + + *Nnz = 2*n+1; + par_nz = malloc_err(sizeof(double)*(*Nnz), err); forwardError(*err, __LINE__, NULL); + + /* Read parameters */ + /* TODO: Replace following by read_any_list */ + rewind(F); + + /* Header line */ + fgetln(F, &size); + + nread = fscanf(F, "%lg %lg\n", par_nz, par_nz+n+1); /* z_0 n_0 */ + testErrorRetVA(nread!=2, io_file, "Error while reading n(z) file ('%s'): two doubles expected (first line)", + *err, __LINE__, NULL, name); + + for (i=1; i=%g. Use nofz type 'single' instead", + *err, __LINE__, NULL, MINIMUM_ZBIN_WIDTH); + + return par_nz; +} + +/* Determines the redshift type of file 'name' from its header * + * # snofz [sphotz] */ +void get_nofz_t_file(const char *name, nofz_t *nofz, photz_t *photz, error **err) +{ + FILE *F; + int n, j, s_length, only_ws; + struct { char snofz[128], sphotz[128]; nofz_t nofz; photz_t photz; } tmp; + char dummy[128]; + + /* Read first line with nofz type */ + F = fopen_err(name, "r", err); + forwardError(*err, __LINE__,); + + n = fscanf(F, "%s %s", dummy, tmp.snofz); + testErrorRetVA(strcmp(dummy, "#")!=0, io_file, + "Wrong format of redshift info file '%s': First line has to be '# snofz_t [sphotz_t]'", + *err, __LINE__,, name); + testError(n!=2, io_file, "Wrong format of redshift info file '%s': First line has to be '# snofz_t [sphotz_t]'", *err, __LINE__); + + n = fscanf(F, "%[^\n]", dummy); + testErrorVA(n!=0 && n!=1, io_file, + "Wrong format of redshift info file '%s': First line has to be '# snofz_t [sphotz_t]'", *err, __LINE__, name); + + fclose(F); + + /* Set photz error string to default if not indicated */ + s_length = strlen(dummy); + only_ws = 1; + while (j < s_length) { + if (dummy[j] != ' ' && dummy[j] != '#') { + only_ws = 0; // False, found non-white-space character + } + j++; + } + if (only_ws == 1) { + strcpy(tmp.sphotz, "photz_no\0"); + } else { + /* Copy while removing white-space characters */ + for (j=0,n=0; jphotz[n_bin] != photz_no) { + zmin = 0.0; + } else { + zmin = redshift->par_nz[n_bin*redshift->Nnz_max + 0]; + } + + return zmin; +} + +/* Returns (true) z_max for redshift bin #n_bin */ +double get_zmax(const redshift_t *redshift, int n_bin) +{ + double zmax; + if (redshift->photz[n_bin] != photz_no) { + zmax = ZMAX; + } else { + zmax = redshift->par_nz[n_bin*redshift->Nnz_max + 1]; + } + + return zmax; +} + +/* Returns minimum scale factor corresponding to (true) * + * overall maximum redshift */ +double get_amin(const redshift_t *redshift, error **err) +{ + int n; + double amin, amintmp; + + for (n=0; nNzbin; n++) { + if (redshift->photz[n] != photz_no) { + amin = 1.0 / ZMAX - 1.0; + return amin; + } + } + + for (n=0,amin=1.0; nNzbin; n++) { + amintmp = 1.0/(1.0 + get_zmax(redshift, n)); + if (amintmp=1.0, redshift_zmax, "zmax not valid (has to be different from zero)", + *err, __LINE__, 0.0); + + /* To be on the safe side, return a slightly smaller scale factor. * + * This was a problem for the highest bin (if narrow) of lensing tomography */ + if (amin>0.01) amin = amin-0.01; + + return amin; +} + +/* Returns (photometric) z_min for redshift bin #n_bin (used to be get_zmin) */ +double get_zmin_ph(const redshift_t *redshift, int n_bin) +{ + double zmin; + + zmin = redshift->par_nz[n_bin*redshift->Nnz_max + 0]; + + return zmin; +} + +/* Returns (photometric) z_max for redshift bin #n_bin (used to be get_zmax) */ +double get_zmax_ph(const redshift_t *redshift, int n_bin) +{ + double zmax; + + zmax = redshift->par_nz[n_bin*redshift->Nnz_max + 1]; + + return zmax; +} + + +/* Return the unnormalised redshift probability distribution */ +double prob_unnorm(double z, void *intpar, sm2_error **err) +{ + double res; + int n_par[Nnofz_t], n_par_photz[Nphotz_t]; + redshiftANDint* rANDi; + redshift_t *self; + int n_bin; + size_t neval; + int n, status; + double epsabs, epsrel; + double abserr; + gsl_function F; + params_photz_t params_photz; + gsl_integration_workspace *w; + + rANDi = (redshiftANDint*)intpar; + self = rANDi->self; + n_bin = rANDi->i; + + /* Number of parameters for all nofz and photz types */ + n_par[ludo] = n_par[jonben] = n_par[ymmk] = 5; + n_par[ymmk0const] = n_par[cfhtlens] = 7; + n_par[single] = 2; + n_par[hist] = self->Nnz_max; + + n_par_photz[photz_no] = 0; + n_par_photz[photz_gauss] = 7; + + if (self->nofz[n_bin] != hist) { + testErrorRetVA(self->Nnz[n_bin] != n_par[self->nofz[n_bin]] + n_par_photz[self->photz[n_bin]], redshift_nnz, + "Wrong number of redshift parameters %d, should be %d for nofz=%s(%d) and photz=%s(%d)", + *err, __LINE__, 0, + self->Nnz[n_bin], n_par[self->nofz[n_bin]], n_par_photz[self->photz[n_bin]], + snofz_t(self->nofz[n_bin]), self->nofz[n_bin], sphotz_t(self->photz[n_bin]), self->photz[n_bin]); + } + + if (self->photz[n_bin] == photz_no) { + + if (z < get_zmin(self, n_bin) || z > get_zmax(self, n_bin)) return 0.0; + + res = prob_unnorm_nofz(z, n_bin, self, err); + forwardError(*err, __LINE__, 0.0); + + } else { + + /* Convolve with photometric error distribution */ + + params_photz.redshift = self; + params_photz.n_bin = n_bin; + params_photz.z = z; + params_photz.Npz = n_par_photz[self->photz[n_bin]]; + params_photz.err = err; + + n = 1000; + epsabs = 1.0e-6; + epsrel = 1.0e-3; + w = gsl_integration_workspace_alloc(n); + F.function = &dpn_dz; + F.params = (void*)¶ms_photz; + + status = gsl_integration_qng(&F, get_zmin_ph(self, n_bin), get_zmax_ph(self, n_bin), epsabs, epsrel, &res, &abserr, &neval); + forwardError(*err, __LINE__, 0.0); + + testErrorVA(status != 0, redshift_integration, "GSL integration returned status %d, should be zero, something went wrong", + *err, __LINE__, 0.0, status); + //res = sm2_qromberg(dpn_dz, (void*)args, get_zmin_ph(self, n_bin), get_zmax_ph(self, n_bin), 1.0e-6, err); + + /* TODO Could speed up by re-using w */ + gsl_integration_workspace_free(w); + } + + return res; +} + +double dpn_dz(double zp, void *intpar) +{ + params_photz_t *params_photz; + redshift_t *redshift; + error **err; + double res; + int n_bin, Npz; + + params_photz = (params_photz_t *)intpar; + redshift = params_photz->redshift; + n_bin = params_photz->n_bin; + Npz = params_photz->Npz; + err = params_photz->err; + + res = prob_photz(params_photz->z, zp, redshift->photz[n_bin], + redshift->par_nz + n_bin*redshift->Nnz_max + redshift->Nnz[n_bin] - Npz, err); + forwardError(*err, __LINE__, 0.0); + res *= prob_unnorm_nofz(zp, params_photz->n_bin, redshift, err); + forwardError(*err, __LINE__, 0.0); + + return res; +} + +double gaussian(double z, double mu, double sigma) +{ + double res; + + res = exp(-0.5 * dsqr((z - mu)/sigma)) / sqrt(twopi) / sigma; + + return res; +} + +double prob_photz(double z, double zp, photz_t photz, const double *par_pz, error **err) +{ + double res; + params_photz_gauss par; + + switch (photz) { + + case photz_gauss: + par.sigma_z = par_pz[0]; + par.z_bias = par_pz[1]; + par.c_cal = par_pz[2]; + par.f_out = par_pz[3]; + par.sigma_z_out = par_pz[4]; + par.z_bias_out = par_pz[5]; + par.c_cal_out = par_pz[6]; + + //printf("MKDEBUG prob_photz %g %g %g %g %g %g %g\n", par.sigma_z, par.z_bias, par.c_cal, par.f_out, + //par.sigma_z_out, par.z_bias_out, par.c_cal_out); + + res = (1.0 - par.f_out) * gaussian(z, par.c_cal*zp - par.z_bias, par.sigma_z * (1 + zp)) + + par.f_out * gaussian(z, par.c_cal_out*zp - par.z_bias_out, par.sigma_z_out * (1 + zp)); + break; + + case photz_no: + *err = addError(redshift_unknown, "Invalid photometric redshift error distribution 'photoz_no', would be delta function", + *err, __LINE__); + res = 0.0; + break; + + default: + *err = addErrorVA(redshift_unknown, "Unknown photometric redshift error distribution '%d'", + *err, __LINE__, photz); + res = 0.0; + + } + + return res; +} + +/* Zero-Truncation for p <= exp(-TRUNC) */ +#define TRUNC 100.0 + +/* Returns the 'true' unnormalized redshift probability distribution n(z) */ +double prob_unnorm_nofz(double z, int n_bin, const redshift_t *self, error **err) +{ + double x, p, res, a, b, c, z0, zmin, zmax, ac, d, z1, z2; + int n, m; + + switch (self->nofz[n_bin]) { + case ludo : + a = self->par_nz[n_bin*self->Nnz_max+2]; + b = self->par_nz[n_bin*self->Nnz_max+3]; + z0 = self->par_nz[n_bin*self->Nnz_max+4]; + + testErrorRet(bTRUNC) { + res = 0.0; + } else { + res = pow(x, a)*exp(-p); + } + break; + + case jonben : + a = self->par_nz[n_bin*self->Nnz_max+2]; + b = self->par_nz[n_bin*self->Nnz_max+3]; + c = self->par_nz[n_bin*self->Nnz_max+4]; + res = pow(z, a)/(pow(z, b) + c); + break; + + case ymmk : + a = self->par_nz[n_bin*self->Nnz_max+2]; + b = self->par_nz[n_bin*self->Nnz_max+3]; + c = self->par_nz[n_bin*self->Nnz_max+4]; + res = (pow(z, a) + pow(z, a*b))/(pow(z, b) + c); + break; + + case ymmk0const : + a = self->par_nz[n_bin*self->Nnz_max+2]; + b = self->par_nz[n_bin*self->Nnz_max+3]; + c = self->par_nz[n_bin*self->Nnz_max+4]; + res = (pow(z, a) + pow(z, a*b))/(pow(z, b) + c); + + testErrorRet(self->par_nz[n_bin*self->Nnz_max+5]<0, redshift_parnzerror, "z0<0!", + *err, __LINE__, 0); + + /* For z>z0 multiply n(z) with constant 0self->par_nz[n_bin*self->Nnz_max+5]) { + if (self->par_nz[n_bin*self->Nnz_max+6]<=0) res = 0; + else res *= self->par_nz[n_bin*self->Nnz_max+6]; + } + break; + + case cfhtlens : + z1 = self->par_nz[n_bin*self->Nnz_max+2]; + z2 = self->par_nz[n_bin*self->Nnz_max+3]; + ac = self->par_nz[n_bin*self->Nnz_max+4]; + b = self->par_nz[n_bin*self->Nnz_max+5]; + d = self->par_nz[n_bin*self->Nnz_max+6]; + res = ac * exp(-dsqr((z-z1) / b)) + exp(-dsqr((z-z2) / d)); + break; + + case hist : + zmin = get_zmin_ph(self, n_bin); + zmax = get_zmax_ph(self, n_bin); + testErrorRetVA(zzmax, redshift_zmax, "z=%g larger than zmax=%g", *err, __LINE__, 0.0, z, zmax); + + if (self->Nnz[n_bin]==3) { + + /* Only one redshift bin */ + res = self->par_nz[n_bin*self->Nnz_max+2]; + + } else { + + n = (self->Nnz[n_bin]-1)/2; + + if (z>=zmin && zpar_nz[n_bin*self->Nnz_max+2]) { + /* z_0=z_min <= z < z_1: ---> n_0 */ + res = self->par_nz[n_bin*self->Nnz_max+n+1]; + } else { + for (m=2; m=self->par_nz[n_bin*self->Nnz_max+m] && zpar_nz[n_bin*self->Nnz_max+m+1]) break; + } + /* z_m <= z < z_{m+1} ---> n_m */ + res = self->par_nz[n_bin*self->Nnz_max+n+m]; + } + + } + break; + + case single: + + *err = addError(redshift_unknown, "Invalid redshift distribution 'single' in prob_unnorm", + *err, __LINE__); + res = 0.0; + + default : + *err = addErrorVA(redshift_unknown, "Unknown redshift distribution %d (type nofz_t). " + "See lensing.h for possible values", *err, __LINE__, self->nofz[n_bin]); + res = 0.0; + } + + return res; +} +#undef TRUNC + +int change_prob(redshift_t *avant, redshift_t *apres) +{ + return change_redshift(avant, apres); +} + +int change_redshift(redshift_t *avant, redshift_t *apres) +{ + int n, m; + + if (NCOEQ(avant, apres, Nzbin)) return 1; + for (n=0; nNzbin; n++) { + if (NCOEQ(avant, apres, Nnz[n])) return 1; + if (NCOEQ(avant, apres, nofz[n])) return 1; + for (m=0; mNnz[n]; m++) { + if (NCOCLOSE(avant, apres, par_nz[n*avant->Nnz_max+m])) return 1; + } + } + return 0; +} + +/* ============================================================ * + * Redshift probability distribution of source galaxies. * + * Note that a single redshift sheet (beta_p=0) is * + * implemented in g_source. * + * ============================================================ */ +double prob(redshift_t *self, double z, int n_bin, error **err) +{ + double res, zz; + redshiftANDint rANDi; + double zmin, zmax; + + zz = z*self->z_rescale[n_bin]; + + testErrorRet(zz<0, ce_negative, "Negative redshift z", *err, __LINE__ , 0); + + rANDi.self = self; + rANDi.i = n_bin; + + if (self->nofz[n_bin] == single) { + /* Note: This case should only appear if prob is called directly. The lensing projection + * (g_source) with nofz=single is done without calling prob. + */ + return 0.0; + } + + if (self->prob_norm==NULL) { + self->prob_norm = calloc_err(self->Nzbin, sizeof(double), err); + forwardError(*err, __LINE__, 0.0); + } + + if (self->prob_norm[n_bin] <= 0.0) { + + zmin = get_zmin(self, n_bin); + zmax = get_zmax(self, n_bin); + + res = sm2_qromberg(prob_unnorm, (void*)&rANDi, zmin, zmax, 1.0e-6, err); + //res = sm2_qromberg(prob_unnorm, (void*)&rANDi, 0.0, ZMAX, 1.0e-6, err); + forwardError(*err,__LINE__, 0.0); + + testErrorRetVA(fabs(res)<1.0e-10, ce_infnan, "Int[ n(z) dz] in bin %d is zero, division by 0", + *err, __LINE__, 0.0, n_bin); + + self->prob_norm[n_bin] = 1.0/res; + } + + res = self->prob_norm[n_bin]*prob_unnorm(zz, (void*)&rANDi, err); + forwardError(*err, __LINE__, 0); + + return res; +} + +double int_for_zmean(double z, void *intpar, error **err) +{ + double res, p; + redshiftANDint *rANDi; + int n_bin; + + rANDi = (redshiftANDint*)intpar; + n_bin = rANDi->i; + + p = prob(rANDi->self, z, n_bin, err); + forwardError(*err, __LINE__, 0); + + res = z*p; + + return res; +} + +#define EPS 1.0e-5 +int change_zmean(redshift_t *avant, redshift_t *apres, error **err) +{ + double a_avant, a_apres; + + a_avant = 1.0 / (1.0 + zmean(avant, 0, err)); forwardError(*err, __LINE__, -1); + a_apres = 1.0 / (1.0 + zmean(apres, 0, err)); forwardError(*err, __LINE__, -1); + + if (fabs(a_avant - a_apres) > EPS) return 1; + return 0; +} + +double zmean(redshift_t *self, int n_bin, error **err) +{ + double res, zmin, zmax; + redshiftANDint rANDi; + + testErrorRetVA(n_bin<0, redshift_Nzbin, "Redshift bin (%d) smaller than zero", + *err, __LINE__, -1.0, n_bin); + testErrorRetVA(n_bin>=self->Nzbin, redshift_Nzbin, "Redshift bin (%d) larger than maximum (Nzbin=%d)", + *err, __LINE__, -1.0, n_bin, self->Nzbin); + + /* Single lens plane */ + if (self->nofz[n_bin]==single) + return get_zmin(self, n_bin); /* zmin = zmax = z0 */ + + rANDi.self = self; + rANDi.i = n_bin; + zmin = get_zmin(self, n_bin); + zmax = get_zmax(self, n_bin); + res = sm2_qromberg(int_for_zmean, (void*)&rANDi, zmin, zmax, 1.0e-6, err); + forwardError(*err, __LINE__, 0); + + return res; +} + +double zmedian(redshift_t *self, int n_bin, error **err) +{ + const double dz = 0.00001; + double res, zmed; + + testErrorRetVA(n_bin<0, redshift_Nzbin, "Redshift bin (%d) smaller than zero", + *err, __LINE__, -1.0, n_bin); + testErrorRetVA(n_bin>=self->Nzbin, redshift_Nzbin, "Redshift bin (%d) larger than maximum (Nzbin=%d)", + *err, __LINE__, -1.0, n_bin, self->Nzbin); + + if (self->nofz[n_bin] == single) { + return get_zmin(self, n_bin); + } + + res = zmed = 0; + while (res<=0.5) { + res += prob(self, zmed, n_bin, err) * dz; + forwardError(*err, __LINE__, 0); + zmed += dz; + } + + return zmed; +} + + +/* Checks consistency of Nzcorr with the number of redshift bins n, and * + * checks consistency of this number n and Nzbin. */ +int get_and_check_Nzbin(int Nzcorr, int Nzbin, error **err) +{ + double dNzbin; + int n; + + /* Solution to Nzcorr = Nzbin (Nzbin + 1) / 2 */ + dNzbin = 0.5*(sqrt(8.0*Nzcorr+1.0) - 1.0); + testErrorRetVA(fabs(dNzbin-floor(dNzbin+0.5))>EPSILON, redshift_Nzbin, + "Number of z-correlations inconsistent, %d != Nz*(Nz+1)/2", *err, __LINE__, 0, Nzcorr); + n = (int)floor(dNzbin+0.5); + + if (Nzbin>0) { + testErrorRetVA(Nzbin!=n, redshift_Nzbin, + "Number of z bins in file (%d) inconsistent with input value (%d)", + *err, __LINE__, 0, n, Nzbin); + } + + return n; +} diff --git a/Cosmo/src/reduced_fit.c b/Cosmo/src/reduced_fit.c new file mode 100644 index 0000000..b6fbb01 --- /dev/null +++ b/Cosmo/src/reduced_fit.c @@ -0,0 +1,249 @@ +#include "reduced_fit.h" + + +/* Parameter limits for (Unused, Omegam, Omegade, w0, Omegab, h100, sigma8, ns) */ +const double limits_lower[M_PAR] = {0.0, -0.05, -0.4, -0.6, -0.04, -0.1, -0.15, -0.1}; +const double limits_upper[M_PAR] = {0.0, 0.08 , 0.3, 0.4, 0.04, 0.4, 0.13, 0.2}; + + +/* K10 eq. (22) */ +double sum_B_a(int alpha, int i, double a) +{ + int j; + double b_i, pow_a; + + for (j=0,pow_a=1.0,b_i=0.0; jY_UP) { + res = b[2]*logell + b[3]; + } else { + /* Cubic spline */ + dx = Y_UP - Y_LOW; + r0 = b[0]*Y_LOW + b[1]; + r1 = dx*b[0]; + r2 = 3.0*(b[2]*Y_UP + b[3]) - dx*b[2] - 3.0*r0 - 2.0*r1; + r3 = dx*b[2] - 2.0*(b[2]*Y_UP + b[3]) + 2.0*r0 + r1; + + frac = (logell-Y_LOW)/dx; + res = ((r3*frac + r2)*frac + r1)*frac + r0; + } + + return res; +} + +/* K10 eq. (21) */ +double Q(int alpha, double logell, double a) +{ + double logdQdp, c_i, b[4], res, pow_logell; + int i; + + for (i=0,logdQdp=0.0,pow_logell=1.0,res=1.0; ilimits_upper[alpha]) return alpha; + } + + return 0; +} + +/* The fitting matrices, K10 Appendix A */ + +const double B_fit[M_PAR][N_PL][N_B] = + { + { + { 1.2157, -1.7061, 3.613, -2.588}, + { 22.054, 14.525, -10.134, -1.2063}, + {-1.7221, -4.2894, 6.9843, -3.7669}, + { 41.719, 34.891, -40.957, 6.3019}, + }, + { + { 1.2963, -2.2435, 4.7574, -3.4183}, + { 24.802, 15.438, -12.793, 0.30538}, + {-0.42199, -14.769, 28.968, -16.938}, + { 62.035, -22.702, -10.113, 15.12}, + }, + { + { 1.2314, -1.826, 3.9322, -2.9291}, + { 27.286, -8.0841, 21.999, -18.426}, + {-3.2808, 4.3912, -6.464, 2.8446}, + { 62.447, -73.471, 122.62, -71.766}, + }, + { + { 1.1772, -1.523, 3.3478, -2.6269}, + { 17.16, 39.066, -56.363, 24.476}, + { 1.7985, -17.673, 25.431, -12.429}, + {-1.2271, 192.08, -259.8 , 113.95}, + }, + { + { 1.1983, -1.5973, 3.3941, -2.4472}, + { 21.942, 28.174, -32.269, 10.746}, + {-4.4314, 9.5715, -14.092, 6.4373}, + { 75.097, -124.48, 200.67, -109.85}, + }, + { + { 1.3643, -2.6937, 5.6748, -4.0482}, + { 22.681, 17.078, -13.713, 0.12838}, + {-1.6597, -3.5025, 5.6229, -3.2007}, + { 44.397, 11.923, -3.5699, -10.617}, + }, + { + { 1.2149, -1.7012, 3.6033, -2.5827}, + { 24.779, 8.4417, -0.27702, -6.3675}, + {-2.5782, -0.084018, 0.53439, -0.56922}, + { 53.073, -11.638, 28.888, -27.294}, + }, + { + { 1.3469, -3.3556, 6.6862, -4.5164}, + { 25.294, 6.7075, 4.1411, -10.121}, + {-1.0794, -6.1604, 9.2899, -4.7514}, + { 37.736, 49.648, -61.197, 16.44}, + } + }; + +const double C_fit[M_PAR][N_POLY][N_C] = + { + { + { 0.56428, 2.3001, -3.9649, 2.427}, + { 0.12548, -0.94677, 2.59, -2.04}, + { 0.1557, -0.65321, 0.89795, -0.58724}, + {-0.063989, 0.43324, -1.0211, 0.7215}, + { 0.0087569, -0.093102, 0.24571, -0.1693}, + {-0.00055709, 0.008454, -0.022712, 0.015138}, + { 1.4809e-05, -0.00027429, 0.00072501, -0.00046762}, + }, + { + {-0.43501, -3.1459, 5.6111, -3.4686}, + {-0.087793, 0.80516, -2.761, 2.4422}, + {-0.10227, 0.33267, -0.18646, 0.1432}, + { 0.073105, -0.5126, 1.2891, -0.95999}, + {-0.023766, 0.19417, -0.48231, 0.33371}, + { 0.0030621, -0.024925, 0.059059, -0.039071}, + {-0.0001238, 0.00098714, -0.0022652, 0.0014607}, + }, + { + {-0.49063, -2.7133, 4.5927, -2.7656}, + { 0.13912, -0.76984, 0.7525, 0.11512}, + {-0.22771, 1.0278, -1.3875, 0.79182}, + {-0.00013136, -0.029954, 0.26883, -0.30505}, + { 0.01479, -0.046285, -0.0031371, 0.04091}, + {-0.0020694, 0.0066385, -0.0028282, -0.0018872}, + { 8.0142e-05, -0.00026039, 0.00016485, 1.1648e-05}, + }, + { + { 0.25229, 4.0227, -6.6135, 3.7371}, + {-0.52388, 3.3599, -5.5903, 2.5675}, + { 0.35958, -1.7899, 2.4962, -1.27}, + { 0.076671, -0.50746, 0.7332, -0.2437}, + {-0.045615, 0.2431, -0.33587, 0.13382}, + { 0.0052982, -0.026584, 0.03616, -0.014855}, + {-0.00018401, 0.0008918, -0.0012, 0.00049882}, + }, + { + { 0.12913, 4.7128, -8.0056, 4.5759}, + { 0.13963, -0.11394, 0.61465, -0.97735}, + { 0.26098, -1.3324, 1.9954, -1.1216}, + {-0.11282, 0.48918, -0.99176, 0.70867}, + { 0.016542, -0.075864, 0.19759, -0.1533}, + {-0.0010708, 0.0055907, -0.017359, 0.0139}, + { 2.6106e-05, -0.00015916, 0.00055278, -0.00044773}, + }, + { + {-0.31944, -3.8608, 6.7541, -4.0259}, + {-0.010529, -0.63367, 1.0269, -0.067878}, + {-0.24657, 1.3721, -2.1149, 1.1977}, + { 0.051632, -0.14509, 0.34221, -0.34002}, + { 0.0010064, -0.030306, 0.0014399, 0.042272}, + {-0.00070106, 0.0052506, -0.0026698, -0.0029094}, + { 3.3959e-05, -0.00020532, 0.00010945, 8.9968e-05}, + }, + { + { 0.58241, 2.2178, -3.8312, 2.3591}, + { 0.15574, -1.1301, 3.0374, -2.3593}, + { 0.1333, -0.53689, 0.68283, -0.46414}, + {-0.073256, 0.48689, -1.1436, 0.80567}, + { 0.012694, -0.11623, 0.29589, -0.20194}, + {-0.00098447, 0.011061, -0.028339, 0.018735}, + { 2.9427e-05, -0.00036705, 0.00092519, -0.0005942}, + }, + { + {-0.45031, -3.1685, 5.4862, -3.2435}, + { 0.088613, -0.95773, 1.3824, -0.2107}, + {-0.20975, 1.2013, -1.8198, 1.0069}, + { 0.022754, -0.030319, 0.17275, -0.24886}, + { 0.0067345, -0.052022, 0.030858, 0.028623}, + {-0.0011801, 0.0070072, -0.004861, -0.0020472}, + { 4.8691e-05, -0.00025807, 0.0001707, 6.9607e-05}, + } + }; diff --git a/Cosmo/src/sn1a.c b/Cosmo/src/sn1a.c new file mode 100644 index 0000000..c360aa1 --- /dev/null +++ b/Cosmo/src/sn1a.c @@ -0,0 +1,698 @@ +/* ============================================================ * + * sn1a.c * + * Pierre Astier, Martin Kilbinger 2006-2009 * + * ============================================================ */ + + +#include "sn1a.h" + +cosmo_SN *init_parameters_SN(double OMEGAM, double OMEGADE, double W0_DE, double W1_DE, + double *W_POLY_DE, int N_POLY_DE, + double H100, double OMEGAB, double OMEGANUMASS, + double NEFFNUMASS, double NORM, double NSPEC, + nonlinear_t NONLINEAR, transfer_t TRANSFER, growth_t GROWTH, + de_param_t DEPARAM, norm_t normmode, + chi2mode_t CHI2MODE, double THETA1[], double THETA2[], double BETA_D, + double AMIN, error **err) +{ + cosmo_SN *res; + int i; + + res = (cosmo_SN*)malloc_err(sizeof(cosmo_SN), err); + forwardError(*err, __LINE__, NULL); + + res->cosmo = init_parameters(OMEGAM, OMEGADE, W0_DE, W1_DE, W_POLY_DE, N_POLY_DE, + H100, OMEGAB, OMEGANUMASS, NEFFNUMASS, NORM, NSPEC, + NONLINEAR, TRANSFER, GROWTH, DEPARAM, normmode, AMIN, err); + forwardError(*err, __LINE__, 0); + + for (i=0; iTheta1[i] = THETA1[i]; + } + for (i=0; iTheta2[i] = THETA2[i]; + res->Theta2_denom[i] = THETA2[i]; + } + res->beta_d = BETA_D; + + res->chi2mode = CHI2MODE; + + return res; +} + +cosmo_SN *copy_parameters_SN_only(cosmo_SN *source, error **err) +{ + cosmo_SN* res; + res = init_parameters_SN(source->cosmo->Omega_m, source->cosmo->Omega_de, source->cosmo->w0_de, + source->cosmo->w1_de, + source->cosmo->w_poly_de, source->cosmo->N_poly_de, + source->cosmo->h_100, source->cosmo->Omega_b, + source->cosmo->Omega_nu_mass, source->cosmo->Neff_nu_mass, + source->cosmo->normalization, source->cosmo->n_spec, + source->cosmo->nonlinear, source->cosmo->transfer, source->cosmo->growth, + source->cosmo->de_param, source->cosmo->normmode, source->chi2mode, + source->Theta1, source->Theta2, source->beta_d, source->cosmo->a_min, err); + forwardError(*err, __LINE__, NULL); + return res; +} + +void read_cosmological_parameters_SN(cosmo_SN **self, FILE *F, error **err) +{ + cosmo_SN *tmp; + struct { char cosmo_file[128], nofz_file[128]; } tmp2; + config_element c = {0, 0.0, ""}; + FILE *FD; + int i; + char stmp[128]; + + tmp = set_cosmological_parameters_to_default_SN(err); + forwardError(*err, __LINE__,); + + CONFIG_READ_S(&tmp2, cosmo_file, s, F, c, err); + if (strcmp(tmp2.cosmo_file, "-")!=0) { + FD = fopen_err(tmp2.cosmo_file, "r", err); + forwardError(*err, __LINE__,); + } else { + FD = F; + } + + read_cosmological_parameters(&tmp->cosmo, FD, err); + forwardError(*err, __LINE__,); + if (strcmp(tmp2.cosmo_file, "-")!=0) fclose(FD); + + /* SNIa parameters */ + //CONFIG_READ_ARR(tmp, Theta1, d, i, NDER, s, F, c, err); /* Photometric calibrations */ + CONFIG_READ_ARR(tmp, Theta2, d, i, NLCP, stmp, F, c, err); /* -M, alpha, -beta */ + + tmp->beta_d = tmp->stretch = tmp->color = 0.0; + + *self = copy_parameters_SN_only(tmp, err); + forwardError(*err, __LINE__,); + + free_parameters_SN(&tmp); +} + +void updateFrom_SN(cosmo_SN* avant, cosmo_SN* apres, error **err) +{ + updateFrom(avant->cosmo, apres->cosmo, err); + forwardError(*err, __LINE__,); +} + +cosmo_SN* set_cosmological_parameters_to_default_SN(error **err) +{ + int i; + double theta1[NDER], theta2[NLCP], h100, amin, beta_d; + + for (i=0; icosmo)); + free(s); + s = NULL; +} + +/* ************ I/O stuff */ + +void dump_param_SN(cosmo_SN *self, FILE *F) +{ + int i; + + if (F==NULL) F = stderr; + dump_param(self->cosmo, F); + fprintf(F, "# "); + for (i=0; iTheta1[i]); + for (i=0; iTheta2[i]); + fprintf(F, " %d\n", self->chi2mode); +} + +/* Reads a single line of supernovae data */ +void readSnData(char *line, SnData *sndata, sndatformat_t sndatformat, error **err) +{ + char nm[100], *p=line; + int ok, k; + int nread=0; + + ok = sscanf(p,"%s %n",nm, &nread); + testErrorRet(ok!=1, ce_file, "Bad line", *err, __LINE__,); + /* on s'en fou du nom */ + p += nread; + + ok = read_double(&p,&(sndata->z)); + testErrorRet(ok==0, ce_file, "Bad line", *err, __LINE__, ); + + ok = read_double(&p,&(sndata->musb)); + testErrorRet(ok==0, ce_file, "Bad line", *err, __LINE__, ); + ok = read_double(&p,&(sndata->cov[0][0])); + testErrorRet(ok==0, ce_file, "Bad line", *err, __LINE__, ); + + ok = read_double(&p,&(sndata->s)); + testErrorRet(ok==0, ce_file, "Bad line", *err, __LINE__, ); + ok = read_double(&p,&(sndata->cov[1][1])); + testErrorRet(ok==0, ce_file, "Bad line", *err, __LINE__, ); + + ok = read_double (&p,&(sndata->c)); + testErrorRet(ok==0, ce_file, "Bad line", *err, __LINE__, ); + ok = read_double(&p,&(sndata->cov[2][2])); + testErrorRet(ok==0, ce_file, "Bad line", *err, __LINE__, ); + + ok = read_double(&p,&(sndata->cov[0][1])); + testErrorRet(ok==0, ce_file, "Bad line", *err, __LINE__, ); + ok = read_double(&p,&(sndata->cov[0][2])); + testErrorRet(ok==0, ce_file, "Bad line", *err, __LINE__, ); + ok = read_double(&p,&(sndata->cov[1][2])); + + // convert diagonal r.m.s. to variance + sndata->cov[0][0] *= sndata->cov[0][0]; + sndata->cov[1][1] *= sndata->cov[1][1]; + sndata->cov[2][2] *= sndata->cov[2][2]; + // symetrise + sndata->cov[1][0] = sndata->cov[0][1]; + sndata->cov[2][0] = sndata->cov[0][2]; + sndata->cov[2][1] = sndata->cov[1][2]; + + for (k=0; kderivative[k])); + testErrorRet(ok==0, ce_file, "Bad line", *err, __LINE__, ); + } else { + sndata->derivative[k] = 0; + } + } +} + +/* Reads a file with supernovae data */ +SnSample *SnSample_read(const char *FileName, sndatformat_t sndatformat, error **err) +{ + int i, cur=-1, Nsample, dummy; + double peculiar_vel, int_disp; + SnSample *sn; + char key[256], line[4096], *sval; + FILE *f; + + //fprintf(stderr, "Reading %s\n", FileName); + + /* default values */ + int_disp = 0.13; + peculiar_vel = 300.0; + + sn = malloc_err(sizeof(SnSample), err); forwardError(*err, __LINE__, NULL); + sn->W1 = NULL; + sn->W1dim = 0; + sn->logdetW1 = 0.0; + + f = fopen(FileName,"r"); + if (f==NULL) { + sprintf(line, "Could not open file %s", FileName); + *err = addError(ce_file, line, *err, __LINE__); + return NULL; + } + + /* Read twice: 1st time for header and number of lines, 2nd time read data */ + for (i=0,Nsample=0; i<=1; i++) { + + if (i==1) { + sn->data = (SnData*)malloc_err(Nsample*sizeof(SnData), err); + forwardError(*err, __LINE__, NULL); + fseek(f, 0, SEEK_SET); + cur = 0; + } + + while (fgets(line,4096,f)) + { + if (line[0] == '#') continue; // comment + if (line[strlen(line)-1] == '\n') line[strlen(line)-1] = '\0'; + if (line[0] == '@') + { + if (i==1) continue; + + sval = key+128; + if (sscanf(line+1,"%s %s",key,sval) != 2) + { + *err = addError(ce_file, "Could not read line", *err, __LINE__); + /* Pierre: continue */ + return NULL; + } + if (strcmp(key,"INSTRINSIC_DISPERSION")==0) + if (!read_double(&sval,&int_disp)) { + *err = addError(ce_file, "Could not read line", *err, __LINE__); + return NULL; + } + if (strcmp(key,"PECULIAR_VELOCITY")==0) + if (!read_double(&sval,&peculiar_vel)) { + *err = addError(ce_file, "Could not read line", *err, __LINE__); + return NULL; + } + if (strcmp(key,"THETA1_ERRORS")==0 && (NDER != 0)) + { + if (i==0) { + sn->W1 = readASCII(sval, &(sn->W1dim), &dummy, err); + forwardError(*err, __LINE__, NULL); + testErrorRet(sn->W1dim!=dummy, ce_nonsquare, "Not a square matrix", *err, + __LINE__, NULL); + sm2_inverse(sn->W1, sn->W1dim, err); + forwardError(*err, __LINE__, NULL); + } + } + } + else // read data + { + if (i==0) { + Nsample++; + } else { + readSnData(line, sn->data+cur, sndatformat, err); + forwardError(*err, __LINE__, 0); + cur++; + } + } + } /* while line */ + + } /* for i */ + + sn->int_disp = int_disp; + sn->sig_mu_pec_vel = 5.0*peculiar_vel/3.0e5/log(10.0); + sn->Nsample = Nsample; + + for (i=0,sn->logdetW1=0.0; iW1dim; i++) { + sn->logdetW1 += log(sn->W1[i*sn->W1dim+i]); + } + + return sn; +} + + +/* Prints SN Sample to file */ +void out_SnSample(const SnSample *sn, FILE *F) +{ + int i, j, k; + FILE *OUT; + + if (F==NULL) OUT = stdout; + else OUT = F; + + fprintf(OUT, "# SnSample\n"); + fprintf(OUT, "# Nsample = %d int_disp = %f sig_mu_pec_vel = %g\n", + sn->Nsample, sn->int_disp, sn->sig_mu_pec_vel); + + fprintf(OUT, "# z musb s c dl mu_c derivative[8] covd[%d][%d]\n", NLCP, NLCP); + for (i=0; iNsample; i++) { + fprintf(OUT, "%f %f %f %f %7.2f %f", sn->data[i].z, sn->data[i].musb, sn->data[i].s, + sn->data[i].c, sn->data[i].dl, sn->data[i].mu_c); + fprintf(OUT, " "); + for (j=0; jdata[i].derivative[j]); + } + fprintf(OUT, " "); + for (j=0; jdata[i].cov[j][k]); + } + } + fprintf(OUT, "\n"); + } +} + +void out_model(const cosmo_SN *cosmo, FILE *F, error **err) +{ + double z, dlum; + + fprintf(F, "# z Dlum [Mpc/h] mu_c\n"); + + for (z=0.002; z<=1.5; z+=0.002) { + dlum = D_lum(cosmo->cosmo, 1.0/(1.0+z), err); + forwardError(*err, __LINE__,); + fprintf(F, "%f %10.3f % f\n", z, dlum, distance_module(cosmo->cosmo, dlum, err)); + forwardError(*err, __LINE__,); + } +} + +void SetDl(cosmo_SN *self, SnSample *sn, error **err) +{ + int i; + + for (i=0; iNsample; i++) { + sn->data[i].dl = D_lum(self->cosmo, 1.0/(sn->data[i].z+1.0), err); + forwardError(*err, __LINE__,); + testErrorRet(sn->data[i].dl<=0, ce_negative, "D_lum not positive", *err, __LINE__,); + + /* Distance module is 5 log10(dl/10pc). The dependence on the Hubble constant + is put into the (nuissance) parameter M (Theta2[0]) */ + sn->data[i].mu_c = distance_module(self->cosmo, sn->data[i].dl, err); + forwardError(*err, __LINE__,); + } +} + +/* Returns Theta2^T * cov * Theta2 with Theta2 = (1, alpha, -beta) and cov = cov(m_B^*,s,c) * + * For chi2mode=chi2_beta_z, Theta2[2] = -beta + beta_z*z. */ +double DistModVariance(const SnData *snd, const double *Theta2) +{ + double res; + + res = snd->cov[0][0]+2.0*Theta2[1]*(snd->cov[0][1]+Theta2[2]*snd->cov[1][2]) + +2.0*Theta2[2]*snd->cov[0][2]+snd->cov[1][1]*Theta2[1]*Theta2[1] + +snd->cov[2][2]*Theta2[2]*Theta2[2]; + + return res; +} + +/* Returns the scalar product x^T * A * x */ +double vect_scalar_product(const double *x, const double *A, int N) +{ + int i, j; + double res; + + for (j=0,res=0.0; jNsample; i++) { + + /* === Data === */ + g->mean[0] = sn->data[i].musb; + g->mean[1] = sn->data[i].s; + g->mean[2] = sn->data[i].c; + + /* === Model === */ + x[0] = -cosmo->Theta2[0] + - cosmo->Theta2[1]*(cosmo->stretch-1.0) + - cosmo->Theta2[2]*cosmo->color + sn->data[i].mu_c; + x[1] = cosmo->stretch; + x[2] = cosmo->color; + + + /* Covariance */ + for (j=0; j<3; j++) { + for (k=0; k<3; k++) { + g->std[j*3+k] = sn->data[i].cov[j][k]; + } + } + g->std[0] += dsqr(sn->int_disp) + dsqr(sn->sig_mu_pec_vel/sn->data[i].z); + + + res = (g->mean[1]-x[1]) * 1 * (g->mean[1]-x[1]); + goto end; + + tmp = sm2_inverse(g->std, 3, err); forwardError(*err, __LINE__, 0.0); + logdetC += log(tmp); + + res = 0.0; + for (j=0; j<3; j++) { + for (k=0; k<3; k++) { + res += (g->mean[j]-x[j]) * g->std[j*3+k] * (g->mean[k]-x[k]); + } + } + + end: + chi2 += res; + + } + + mvdens_free(&g); + + return -0.5*(chi2 + logdetC); + +} + +/* ============================================================ * + * Returns the negative log-likelihood. * + * Variables: Theta2[0] = -M, Theta2[1] = alpha, * + * Theta2[2] = -beta. * + * ============================================================ */ +double chi2_SN(const cosmo_SN *cosmo, const SnSample *sn, + mvdens *data_beta_d, int wTheta1, int add_logdetCov, error **err) +{ + double chi2, res, res_all, wi, mu_meas, sigintsqr, kTheta1, Theta2[NLCP], Theta2_betaz[NLCP], + logdetC, dmv; + double c_d; + int i, j; + + + if (cosmo->chi2mode==chi2_residual) { + res = chi2_SN_residual(cosmo, sn, err); + forwardError(*err, __LINE__, 0.0); + return res; + } + + for (i=0; iTheta2[i]; + if (cosmo->chi2mode==chi2_Theta2_denom_fixed) { + /* Copy the fixed denominator values for alpha and beta */ + Theta2[1] = cosmo->Theta2_denom[1]; + Theta2[2] = cosmo->Theta2_denom[2]; + } + + sigintsqr = dsqr(sn->int_disp); + + for (i=0,chi2=0.0,logdetC=0.0; iNsample; i++) { + + /* m - M */ + mu_meas = sn->data[i].musb + cosmo->Theta2[0]; + + if (cosmo->chi2mode!=chi2_no_sc) { + + if (cosmo->chi2mode!=chi2_betaz) { + + /* Add stretch and color terms alpha*(s-1) - beta*c */ + mu_meas += cosmo->Theta2[1]*(sn->data[i].s-1.0) + cosmo->Theta2[2]*sn->data[i].c; + + if (cosmo->chi2mode==chi2_dust) { + + /* Correction for intergalactic dust along line of sight: * + * add (beta - beta_d)*c_d */ + + c_d = sn->data[i].dust; + + mu_meas += -cosmo->Theta2[2]*c_d - cosmo->beta_d*c_d; + + /* Approximation: linear law */ + //mu_meas += -cosmo->Theta2[2]*2.0*1e-2*sn->data[i].z + // -3.0*2.0*1e-2*sn->data[i].z; + + } + + dmv = DistModVariance(&(sn->data[i]), Theta2); + + } else { + + /* beta = beta_0 + beta_1*z */ + mu_meas += cosmo->Theta2[1]*(sn->data[i].s-1.0) + + (cosmo->Theta2[2] + cosmo->Theta2[3]*sn->data[i].z)*sn->data[i].c; + Theta2_betaz[0] = Theta2[0]; + Theta2_betaz[1] = Theta2[1]; + Theta2_betaz[2] = Theta2[2] + Theta2[3]*sn->data[i].z; + /* Include beta_z in the error */ + dmv = DistModVariance(&(sn->data[i]), Theta2_betaz); + } + + } else { + + /* No stretch and color */ + dmv = sn->data[i].cov[0][0]; + + } + + /* Weight = inverse variance */ + wi = 1.0/(sigintsqr + dmv + dsqr(sn->sig_mu_pec_vel/sn->data[i].z)); + //+ dsqr(0.093*sn->data[i].z)); // Lensing correction (Kowalski08) + + if (wTheta1) { + /* Take into account Theta1 (zero-points) */ + for (j=0,kTheta1=0.0; jTheta1[j]*sn->data[i].derivative[j]; + } else { + kTheta1 = 0.0; + } + + chi2 += wi*dsqr(mu_meas + kTheta1 - sn->data[i].mu_c); + /* |C| = Product_i [ w_i^{-1} ]; log|C| = - Sum_i [ w_i ] */ + logdetC -= log(wi); + + } + + + /* Add up everything */ + res_all = -0.5*(sn->Nsample*ln2pi + chi2); + + /* Adding the covariance-term is correct for the log-likelihood in a Bayesian * + * context. However, it leads to a biased estimation of parameters, in * + * particular for alpha and beta (J. Guy, P. Astier, priv. comm.) */ + if (add_logdetCov==1) { + res = -0.5*logdetC; + res_all += res; + } + + /* Zero-points (Kilbinger et al. 2009) */ + if (wTheta1==1) { + /* TODO: use mvdens_log_pdf */ + testErrorRet(sn->W1==NULL, io_null, "Matrix for zero-points W1 not initialised", + *err, __LINE__, 0.0); + chi2 = vect_scalar_product(cosmo->Theta1, sn->W1, sn->W1dim); + res = -0.5*(sn->W1dim*ln2pi + chi2 + sn->logdetW1); + res_all += res; + } + + /* Dust (Menard, Kilbinger & Scranton 2009) */ + /* In case of beta_d=const=data_beta_d->mean[0] this term is not added */ + if (cosmo->chi2mode==chi2_dust && data_beta_d!=NULL) { + res = mvdens_log_pdf(data_beta_d, &(cosmo->beta_d), err); + forwardError(*err, __LINE__, 0.0); + res_all += res; + } + + return res_all; +} + +/* SNIa distance modulus. To make it independent of the Hubble constant, the * + * H_0-dependence from w(z) is divided out -> 5 log(d_L/h) + 25. */ +double distance_module(cosmo *self, double dlum, error **err) +{ + testErrorRet(dlum<0, ce_negative, "Luminosity distance is negative", *err, __LINE__, -1); + return 5.0*log10(dlum/self->h_100) + 25; +} diff --git a/Coyote/include/constants.h b/Coyote/include/constants.h new file mode 100644 index 0000000..2f80384 --- /dev/null +++ b/Coyote/include/constants.h @@ -0,0 +1,32 @@ +/* ============================================================ * + * constants.h * + * Definition of constants for the Coyote emulator of the non- * + * linear power spectrum. * + * ============================================================ */ + +#ifndef __CONSTANTS_H +#define __CONSTANTS_H + + +#define m 37 +#define neta 6000 +#define p 5 +#define peta 5 +#define rs 6 + +const double ksim[nsim]; + +const double kemu[1000]; +const double mean[neta]; +const double K[neta][peta]; +const double x[m][p], xmin[p], xrange[p], aemu[rs]; +const double lamws[peta], lamz[peta]; +const double beta[peta][p]; +const double w_coyote[peta][m]; +const double KrigBasis[peta][m]; + +/* The above defined quantities are undefined at the end of emu.c */ + +#endif + + diff --git a/Coyote/include/coyote.h b/Coyote/include/coyote.h new file mode 100644 index 0000000..049489d --- /dev/null +++ b/Coyote/include/coyote.h @@ -0,0 +1,71 @@ +#ifndef __COYOTE_H +#define __COYOTE_H + + + + +#include +#include +#include + +#include +#include +#include +#include +#include +#include + +#include "errorlist.h" +#include "maths.h" + + +/* Error codes */ +#define coyote_base -2200 +#define coyote_h -1 + coyote_base +#define coyote_flat -2 + coyote_base +#define coyote_range -3 + coyote_base + + +/* =============================================== * + * From other header files which have been removed * + * Constants which are used also outside of Coyote * + * (e.g. in cosmo.c) * + * =============================================== */ + +/* Coyote I */ + +/* Number of k values */ +#define nsim 1995 +/* Min and max from array ksim */ +#define ksim_min 0.00483300227977574 +#define ksim_max 2.41599983339183 +//const double ksim[nsim]; + +/* Coyote II */ + +#define fr_nsim 582 +#define fr_rs 11 +#define fr_ksim_min 0.0008694 +#define fr_ksim_max 8.5692 +//const double fr_ksim[fr_nsim]; + + + +/* v1: Functions from hubble.c and emu.c */ +double getH0fromCMB(double omega_m, double omega_b, double w0_de, int physical); +void fill_xstar_wo_z(double omega_m, double omega_b, double n_spec, double sigma_8, double w0_de, double xstar[]); +double P_NL_coyote5(double omega_m, double omega_b, double n_spec, double sigma_8, double w0_de, + double h_100, double a, double k, error **err); +void emu(double *xstar, double *ystar, error **err); + +/* v2: Functions from fr_emu.c */ +double P_NL_coyote6(double omega_m, double omega_b, double n_spec, double sigma_8, double w0_de, + double h_100, double a, double k, double **ystar_allz, error **err); +void fr_check_range(const double *xstar, error **err); +void fr_fill_ystar_allz(double *ystar_allz, const double *xstar, error **err); +void fr_emu(const double *xstar, double *ystar, const double *ystar_allz, error **err); +void fill_xstar6_wo_z(double omega_m, double omega_b, double n_spec, double sigma_8, double w0_de, double h_100, + double xstar[]); + + +#endif diff --git a/Coyote/include/fr_constants.h b/Coyote/include/fr_constants.h new file mode 100644 index 0000000..813cd69 --- /dev/null +++ b/Coyote/include/fr_constants.h @@ -0,0 +1,40 @@ +/* ==================================================== * + * fr_constants.h * + * Martin Kilbinger 2013 * + * Constants from .h files in FrankenEmu. * + * ==================================================== */ + +#ifndef __FR_CONSTANTS_H +#define __FR_CONSTANTS_H + +#include "coyote.h" + +/* These constants have the same name but different * + * values compared to coyote v<2. */ + +#define m 137 +#define neta 5500 +#define p 6 +#define peta 9 +#define rs fr_rs + +/* neta_over_rs = neta / rs */ +# define neta_over_rs 500 + +const double fr_ksim[fr_nsim]; + +const double fr_kemu[neta_over_rs]; /* MKDEBUG: Size was 1000 in original Coyote emulator, for some reason */ +const double fr_mean[neta]; +const double fr_K[neta][peta]; +const double fr_x[m][p]; +const double fr_xmin[p]; +const double fr_xrange[p]; +const double fr_aemu[rs]; +const double fr_lamz[peta]; +const double fr_beta[peta][p]; +const double fr_KrigBasis[peta][m]; + +/* The above defined quantities are undefined at the end of emu.c */ + +#endif + diff --git a/Coyote/src/constants.c b/Coyote/src/constants.c new file mode 100644 index 0000000..6c1dda9 --- /dev/null +++ b/Coyote/src/constants.c @@ -0,0 +1,15090 @@ +#include "coyote.h" +#include "constants.h" + + +const double ksim[nsim] = +{0.00483300227977574, +0.0068350075715769, +0.0083709934093456, +0.00966600465605738, +0.0108100076177940, +0.0118400081137119, +0.0142600155796309, +0.0152799875366135, +0.0162099994457806, +0.0178599813069145, +0.0193300064970398, +0.0201700047273195, +0.0213399796037397, +0.0223199902215521, +0.0236800164638463, +0.0246500043356148, +0.0262099987358569, +0.0276799945324638, +0.0285300150004792, +0.0296999692726598, +0.0310000218541595, +0.0322000095128882, +0.0328800144704144, +0.0342400192366874, +0.0355500323281053, +0.0368599719168784, +0.0379500192040587, +0.0392899973934372, +0.0403999660358055, +0.0416400267659138, +0.04293999603517, +0.0441500296932611, +0.0454300275308936, +0.0466099889529169, +0.0478200471511912, +0.0489299756913072, +0.050309963240029, +0.051560010841467, +0.0523799404082268, +0.0537800250282352, +0.055130000954693, +0.0562799884972872, +0.057349944242219, +0.0586999863151973, +0.059889956825133, +0.0611399388465737, +0.0622599833206909, +0.0633999623534314, +0.0647999991240634, +0.0660100406200724, +0.0672499552991097, +0.0682899822757617, +0.0695900261995363, 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1.5132130857932480e+00, + 1.5127867607788945e+00, + 1.5123518650741670e+00, + 1.5119085152939036e+00, + 1.5114567988203214e+00, + 1.5109968653584303e+00, + 1.5105288095588896e+00, + 1.5100527606037368e+00, + 1.5095688688549616e+00, + 1.5090772610180196e+00, + 1.5085780988794657e+00, + 1.5080715369741171e+00, + 1.5075577221880869e+00, + 1.5070368721547025e+00}; + +const double K[neta][peta] = + {-5.4727833540401383e-01, 8.2482619287827508e-01, 6.4228103138402298e-02, -1.8509821513319490e-02, 7.2984629826737804e-03, + -5.4753185258145209e-01, 8.2351842275007248e-01, 6.4507999689707718e-02, -1.8440434837275674e-02, 7.3351191500393171e-03, + -5.4778536975882930e-01, 8.2221065262181203e-01, 6.4787896241028917e-02, -1.8371048161249872e-02, 7.3717753173864684e-03, + -5.4803888693622049e-01, 8.2090288249358645e-01, 6.5067792792320986e-02, -1.8301661485213765e-02, 7.4084314847478912e-03, + -5.4829240411361491e-01, 8.1959511236535798e-01, 6.5347689343618509e-02, -1.8232274809181416e-02, 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2.5103899766012159e-02, -5.5066568603706186e-02, 9.7782456847108883e-03, + -1.0720000545618076e+00, -2.5329504549132353e-01, 2.5750323892356555e-02, -5.4808031596202351e-02, 1.0026012432364066e-02, + -1.0706353281623504e+00, -2.5318230806336650e-01, 2.6394763607175423e-02, -5.4549253714942077e-02, 1.0273530951574787e-02, + -1.0692766033117154e+00, -2.5306968045970357e-01, 2.7037199175137572e-02, -5.4290307526519685e-02, 1.0520759152887511e-02, + -1.0679237627726852e+00, -2.5295716329709000e-01, 2.7677603966522045e-02, -5.4031263749246480e-02, 1.0767654555928402e-02, + -1.0665766488759676e+00, -2.5284475659372890e-01, 2.8315966769784030e-02, -5.3772192200123435e-02, 1.1014177999832120e-02, + -1.0652351459404206e+00, -2.5273246140771094e-01, 2.8952262877625867e-02, -5.3513161038428965e-02, 1.1260288557361397e-02, + -1.0638991179802406e+00, -2.5262027871205600e-01, 2.9586476164985869e-02, -5.3254237334513940e-02, 1.1505947403083508e-02, + -1.0625684188383466e+00, -2.5250820961282522e-01, 3.0218596302736368e-02, -5.2995486298370718e-02, 1.1751117687475780e-02, + -1.0612429228738212e+00, -2.5239625606894339e-01, 3.0848606709156293e-02, -5.2736972393817035e-02, 1.1995761652334130e-02, + -1.0599224854718794e+00, -2.5228442009085439e-01, 3.1476500402157784e-02, -5.2478757828319164e-02, 1.2239844432753978e-02, + -1.0586069719449762e+00, -2.5217270442582912e-01, 3.2102268538674629e-02, -5.2220903721856282e-02, 1.2483331256461493e-02, + -1.0572962577772480e+00, -2.5206111267565645e-01, 3.2725899797034233e-02, -5.1963470791541587e-02, 1.2726186951151595e-02, + -1.0559901772777869e+00, -2.5194964793491376e-01, 3.3347404123406928e-02, -5.1706514006290921e-02, 1.2968383317325310e-02}; + +const double x[m][p] = + {9.6857142857142886e-01, 7.9999999999999960e-01, 4.8399999999999982e-01, 7.0457746478873251e-01, 8.0649999999999988e-01, + 7.4285714285714266e-01, 6.0000000000000109e-01, 2.2600000000000001e-01, 8.4084507042253520e-01, 9.0316666666666656e-01, + 3.5428571428571409e-01, 1.0000000000000000e+00, 7.4199999999999966e-01, 8.1830985915492971e-01, 7.0966666666666667e-01, + 5.1714285714285724e-01, 6.0000000000000109e-01, 4.1949999999999971e-01, 2.9577464788732377e-01, 3.5483333333333344e-01, + 4.5142857142857162e-01, 5.0000000000001391e-02, 6.1299999999999999e-01, 7.2746478873239429e-01, 9.6833333333333382e-02, + 9.0285714285714325e-01, 7.0000000000000040e-01, 3.2249999999999990e-01, 1.9190140845070419e-01, 1.2900000000000020e-01, + 1.9428571428571428e-01, 4.0000000000000069e-01, 3.5500000000000020e-01, 4.6267605633802800e-01, 1.0000000000000000e+00, + 7.0857142857142896e-01, 4.0000000000000069e-01, 6.7750000000000010e-01, 6.7957746478873249e-01, 1.6133333333333330e-01, + 5.4857142857142838e-01, 9.5000000000000040e-01, 6.4499999999999980e-01, 1.8732394366197189e-01, 9.3549999999999989e-01, + 5.8000000000000029e-01, 1.5000000000000069e-01, 3.2500000000000293e-02, 4.9154929577464801e-01, 5.1616666666666677e-01, + 6.7714285714285705e-01, 9.5000000000000040e-01, 1.6149999999999992e-01, 3.9295774647887333e-01, 2.9033333333333350e-01, + 6.5714285714286003e-02, 5.0000000000000000e-01, 7.7399999999999947e-01, 3.9084507042253511e-02, 5.4833333333333334e-01, + 8.0571428571428572e-01, 3.0000000000000138e-01, 5.4849999999999988e-01, 1.2253521126760580e-01, 7.4199999999999999e-01, + 7.7428571428571458e-01, 9.0000000000000069e-01, 9.0299999999999958e-01, 3.2218309859154937e-01, 4.8383333333333328e-01, + 6.1428571428571399e-01, 7.5000000000000000e-01, 8.3850000000000002e-01, 5.1936619718309840e-01, 3.2333333333333471e-02, + 1.2857142857142867e-01, 1.5000000000000069e-01, 4.5150000000000007e-01, 4.4964788732394373e-01, 2.5800000000000006e-01, + 6.4571428571428591e-01, 0.0000000000000000e+00, 3.8700000000000001e-01, 2.4436619718309863e-01, 6.7749999999999999e-01, + 3.2285714285714295e-01, 5.0000000000001391e-02, 1.9350000000000028e-01, 9.8591549295774725e-02, 4.5166666666666683e-01, + 2.2571428571428620e-01, 8.4999999999999931e-01, 6.4500000000000085e-02, 0.0000000000000000e+00, 1.9350000000000012e-01, + 2.5714285714285734e-01, 2.5000000000000000e-01, 8.7099999999999977e-01, 6.3802816901408455e-01, 8.3866666666666667e-01, + 3.8571428571428601e-01, 3.0000000000000138e-01, 9.3549999999999933e-01, 1.4190140845070423e-01, 2.2583333333333322e-01, + 8.7142857142857133e-01, 5.0000000000000000e-01, 1.0000000000000000e+00, 5.3450704225352119e-01, 3.2249999999999995e-01, + 3.1428571428571535e-02, 2.5000000000000000e-01, 2.5799999999999979e-01, 1.7746478873239435e-01, 6.4499999999999919e-02, + 2.9142857142857181e-01, 5.4999999999999960e-01, 5.1600000000000013e-01, 1.7042253521126757e-01, 0.0000000000000000e+00, + 8.4000000000000019e-01, 1.0000000000000105e-01, 8.0650000000000033e-01, 4.3591549295774651e-01, 9.6766666666666656e-01, + 4.1999999999999971e-01, 8.4999999999999931e-01, 2.9050000000000009e-01, 6.4612676056338025e-01, 5.8066666666666666e-01, + 4.8285714285714276e-01, 4.5000000000000034e-01, 0.0000000000000000e+00, 3.3485915492957730e-01, 7.7416666666666656e-01, + 9.3428571428571439e-01, 3.5000000000000103e-01, 9.6999999999999836e-02, 6.7183098591549273e-01, 6.1283333333333334e-01, + 1.5999999999999981e-01, 6.5000000000000069e-01, 9.6750000000000025e-01, 3.2640845070422536e-01, 6.4516666666666656e-01, + 9.7142857142857142e-02, 7.5000000000000000e-01, 1.2900000000000017e-01, 2.0387323943661992e-01, 8.7100000000000000e-01, + 1.0000000000000000e+00, 2.0000000000000034e-01, 7.0949999999999991e-01, 3.1021126760563361e-01, 3.8716666666666655e-01, + 0.0000000000000000e+00, 7.0000000000000040e-01, 5.8049999999999968e-01, 4.9154929577464801e-01, 4.1933333333333334e-01, + 5.6717142857142877e-01, 5.1611999999999969e-01, 9.5369999999999977e-01, 8.7500000000000011e-01, 2.5500000000000000e-01, + 8.4891999999999979e-01, 6.2223000000000084e-01, 3.6957500000000021e-01, 9.0625000000000000e-01, 5.0000000000000000e-01, + 8.1319142857142868e-01, 2.8733000000000031e-01, 5.5224699999999993e-01, 9.3749999999999989e-01, 7.4500000000000000e-01, + 4.5594285714285948e-02, 9.1685999999999945e-01, 4.4333649999999986e-01, 9.6874999999999978e-01, 9.8999999999999999e-01, + 8.4371428571428564e-01, 6.2737500000000068e-01, 8.6634999999999929e-01, 1.0000000000000000e+00, 1.0000000000000007e-02}; + +const double xmin[p] = + {1.2000000000000000e-01, 2.1499999999999998e-02, 8.4999999999999998e-01, 6.1599999999999999e-01, -1.3000000000000000e+00}; + +const double xrange[p] = + {3.5000000000000003e-02, 2.0000000000000018e-03, 2.0000000000000007e-01, 2.8400000000000003e-01, 6.0000000000000009e-01}; + +const double aemu[rs] = + {0.5, 0.6, 0.7, 0.8, 0.9, 1.0}; + +const double lamws[peta] = + {2.4604719015644982e+03, 2.4250763684462272e+03, 1.1959373885006244e+03, 9.3011313083041546e+02, 5.4199555537003812e+02}; + +const double lamz[peta] = + {4.0386934817498699e-01, 3.5100680276762136e-01, 3.7276556433154040e-01, 4.4968511448640752e-01, 4.2970079467683003e-01}; + +const double beta[peta][p] = + {3.2125667046882647e-02, 2.6368176280200163e-03, 5.0329020120363586e-03, 5.1897022026630735e-01, 1.4776112949883916e-01, + 1.4063403708148509e-01, 4.8982099939632985e-03, 1.2542361537110522e-01, 3.4658278655841084e-02, 2.4763256122039390e-02, + 1.7376729116543588e-01, 1.7163259085326944e-02, 1.6049936129053360e-01, 3.0175301456512832e-01, 1.3910652500329651e-01, + 4.9803747091541178e-01, 2.5664545707104445e-02, 1.2939462991348899e-01, 2.3665113908883915e+00, 8.2200681833606359e-01, + 6.0050792086841198e-01, 1.9194961577723095e-02, 3.2200778791063389e-01, 1.8410924939718334e+00, 5.3435981422333767e-01}; + +const double w_coyote[peta][m] = + {-1.1328521764429231e+00, -1.6488609879367042e+00, -1.1766009881587549e+00, 6.6521763704623771e-01, -2.5860811619190049e-01, 1.1164249578166225e+00, -7.3474083942250212e-01, -2.4894107876482355e-01, 2.8131112345151899e-01, -2.6614961837102663e-01, 3.7355921907550182e-01, 1.4551153893713551e+00, 6.3697404335987995e-01, 4.3324746235547601e-01, 4.1326155631140377e-01, 4.1275954383214292e-01, 2.8896069857143658e-01, 1.1886125345245226e+00, 2.0258911089842084e+00, -9.1574913697154792e-01, 1.4507418027126087e+00, -3.2584508147583062e-02, 1.6193568367361164e+00, 1.6791124571325264e+00, -5.9338762958388469e-01, -6.3567854550998093e-01, -6.5252662893736865e-02, -9.2785099084915490e-01, 3.5660841497891216e-01, 2.8794051503184437e-01, 3.8466935934731955e-01, 1.6118781623082343e-01, -7.3633150729032237e-01, -1.2994060398750025e+00, -1.6588654399016165e+00, -2.0568406519610902e+00, -8.4225155859790179e-01, + -5.6609553603340101e-01, 5.5164950189594886e-01, 2.4303863079693949e-01, 1.6418141480322456e-02, -1.4126188232677375e-01, -6.9091371343694818e-01, 1.2161428580691496e+00, -7.8350993171397598e-01, -4.1432533845494007e-01, 8.8058300343438389e-01, 3.6980304510107187e-01, 1.7472775562514348e-01, -9.8973669610862181e-01, -1.5709783801669637e+00, -1.0690458968404937e+00, 8.8271370147102812e-01, -2.4601547241240290e-01, 8.1959608887910229e-01, 1.4561981059531941e+00, -3.1632754202741288e-02, -1.1118045105103840e+00, -1.9073489800867685e+00, 1.4465964275349150e+00, 1.6704276361271481e-01, -1.3151257890008912e+00, 9.1606250516843402e-01, 1.1918255846781525e+00, 2.0886243247964009e-01, -2.5742634633856154e-01, 1.8254018382387733e+00, -1.7172654152554623e+00, 1.0971668638096244e+00, -9.2343612391923013e-01, -3.5114479428662138e-02, -3.1719301739633426e-01, 1.8386085824725331e+00, -1.2142075670675239e+00, + -9.9026112292711443e-01, -1.0717489801030673e+00, 1.2699792130659033e+00, -2.6253540020692701e-01, 6.1136049495644396e-01, -1.6206121990494418e+00, 2.3016745875993336e-01, 1.1271484184439587e-01, -5.5639432423159017e-02, -1.3113470208298050e+00, -1.0405275060470625e+00, 1.3497381674025644e+00, -1.0061604470339316e+00, 3.1739397674483411e-01, 7.5087420090145407e-01, 9.5280277696386551e-01, -9.5728625309791959e-01, -8.1902921174291121e-01, -9.8254502532637433e-01, 1.4315346077694895e+00, 1.0193750400200390e+00, 4.0003847549567978e-01, 3.5779912986869600e-01, 3.0365501571708675e-01, -3.4871553376791836e-01, 1.1818152824238674e-01, -1.2796696220748751e+00, -1.7702818594095280e+00, 1.9635304780949043e+00, -7.1848798923877050e-02, -8.4816801153647858e-01, 1.8810492785316435e+00, 1.1647637299425686e+00, -8.0064837691983937e-01, -5.4408121690959976e-01, 1.2063800324762108e+00, 3.3976757153172776e-01, + 4.5553155016582370e-01, 9.7827392383856659e-01, 1.0817893032448812e-01, -5.2835207773686621e-01, 2.0704331824408562e-01, -8.5104389684423867e-02, -1.6080233704361835e+00, 2.3823556861123862e-01, -1.5421117905763184e+00, -6.1300374253553136e-01, -5.8555191001047480e-01, 2.1660555300639572e-01, -1.1844873623526124e+00, -6.5291918245264635e-01, 1.3540948901675806e-01, -1.1172715338675385e-01, -1.1525735919220459e+00, 1.3922347591588701e-02, 2.3873523935678476e+00, -4.7519653431340086e-01, 3.7424729333412865e-01, 6.0109682076683177e-03, 1.8588033261051831e+00, 1.4371639595660972e+00, -4.9927565285384923e-01, -4.6012928033794542e-01, -1.2556527179502881e+00, 1.6698808614793909e-01, -9.5023123868925197e-01, -1.6443682336314203e+00, -6.0057443139193323e-01, -6.1905429783634724e-01, 8.5740799104840870e-01, 1.3516739380972340e+00, 1.7704089279465616e+00, 3.6590985284037675e-01, 1.6391695404378797e+00, + 8.6935316692533715e-01, 9.7004112265118037e-01, -1.2594481900276977e-01, -8.6991879171378983e-01, -2.0663312102916551e+00, -4.6350440360751854e-01, 5.0239025606870202e-01, -1.2923758282407656e+00, 1.2859261536214104e+00, -1.1374738204357517e+00, -1.5318116427230606e+00, 2.0493254192866424e+00, 1.0989148401873394e+00, 3.3364667657789981e-01, -1.3566965959005319e+00, -1.3252859685021192e+00, 1.4270146270453213e-01, 2.0255447904058835e-01, 9.9949264845416019e-01, 5.1868009813954130e-01, 9.4985970034442346e-01, -9.2923088871978310e-02, -7.7868227710518517e-02, -2.2774561701396516e-02, 1.5510937031214242e+00, -1.0860284278296544e+00, -5.1722930115750443e-01, -2.5054553105975896e-01, 6.2533989105272059e-01, 3.3013936673870065e-01, 2.9744036435854959e-01, -8.4026936212738668e-01, -1.0068885226293327e+00, -6.5807044096430262e-02, 1.1153204739540366e+00, 1.5496756426037976e+00, -1.2622183182290201e+00}; + +const double KrigBasis[peta][m] = { +-6.9558172798313977, 4.0859637027076037, 16.1297898960325448, -26.1271020813802437, -6.6075228624569116, 16.2331954718676457, -19.5631459003239563, 16.0013316669334564, -7.0318612749689713, 3.4053424286779683, -24.2036803474157125, 17.4306324376695052, 29.9135240366638619, -6.9840216003061837, -23.8143347298482269, -11.1546326931574491, -37.2172782950083345, -12.2334560423933549, -1.1040707066041708, 7.9784967936497999, -10.0392238798863733, 30.5390395080471677, 8.8838257449781590, 28.8681537783848086, 6.1713231751413771, 28.3744278823492948, 60.4526406048749863, 4.7530944426137696, 8.9037450354262564, -23.2910562903633256, -34.7754148749003491, -10.8863587300803815, 22.0452835787111212, -17.9467672090402530, -8.2728767645600882, -15.9717659049579410, -6.2699092743841209, +-3.3738539119700062, -7.5035401759119944, -17.9188692338100104, -20.0831882432072995, -11.4828331199111240, 6.8780755402375080, -17.0215405314790367, 55.6598039773122011, 11.5202268672550261, -10.2253820347007025, -49.5019725783273898, 6.7576731344223413, 10.3672075820464844, -7.2644741734645546, 49.4240183123305385, -35.6476140223534301, 7.4082249703049134, -25.2925784584918283, 34.8522355866586153, 30.0112713471177059, -20.9178890881598036, -17.7255142987297525, 35.8988696290629150, -6.6668329549732190, 6.7462620004496658, -7.8319600225957240, 24.1726468955620284, 14.9740684461494560, 0.4189777880723132, -12.2218999109337609, -22.1170649583626648, -12.5378052578223986, -22.4388078406808624, 16.0919484908765931, -0.8543888836693363, 24.6783557638658628, -5.8433407008057872, +-10.9065903881334627, -2.7346534670844216, -10.9618423690484406, 24.3165631042406538, 10.1258186883715133, -2.3899939626918516, -37.1707210951063942, -31.2693098598439256, -12.2480826982986919, -16.8023786735693967, 23.9995329504668895, 4.6927003714806457, 3.6184970602203510, 1.4212126463069543, 0.7120685109574814, -32.9189952008793085, 16.7517028189138237, 1.4016133712647698, -40.1972290694710921, 10.5421102233203730, -6.2436783275752328, 17.5407824245407227, 28.1655181646412736, -0.3799975859913619, 3.3692873387192255, 22.4602294748848408, -3.0525186191249762, 7.2278968083861281, -0.5288725868094963, 24.1884941231127755, -14.5626615018272307, 14.0836005132494311, -7.2055644098887353, -17.8356672744605582, 18.9733523032991123, 5.4646197025817171, 7.5637663688578343, + 1.6369235584054069, -1.5823937165681994, -12.3434366065371215, -20.3062726453751772, -8.6849385464048439, 0.9388871661725173, -8.7319688638587252, -0.0239754863999978, 1.1548346753651177, 5.7070417592165734, -5.1477314096797340, 1.7955963251138387, -4.0640024291356367, 4.5868996899053540, 10.1803693558167456, 11.3641627530821410, 4.3608226941176413, -9.7450340560599589, 12.9169762390727882, 6.6835484888947461, -3.3539764689027138, -6.5768877813150670, 1.1882130064084719, -3.2669523823842259, -1.6369294354978365, 9.4836667239951051, 10.3933621031546704, -8.1835834018042508, 6.4178956739631099, -3.7849856977441174, 6.4990484647055728, -8.8411183115999918, 2.4516992264171238, 2.0430652497395321, 5.2582724779413637, 2.4654994722911732, 1.4007038247624313, + 6.7213217442222266, 1.2871360395834257, -17.8026900352643871, -22.4804648333197576, -22.8136900668326454, -1.8078737886766896, -1.4547206180040575, 25.9053055878588943, 6.0406237215822562, 20.2663074312888227, -1.0154783246476558, 3.9397904053337500, -2.3808942075663251, 3.6236662265999326, 2.7063185634426876, 7.5793172752094753, 2.4992941321753777, -8.0334472060417124, 10.4125397996629729, 5.8518046923600719, 1.9343758241666049, -15.2491855092923707, -8.1360258103155125, 4.1700314729639132, -0.2645968377476433, -6.9637880737329017, -1.2754920635814244, -15.8733983340678293, -4.5786684676574527, -2.2068567352835813, 7.1900830867086523, 6.3715170797948142, 14.0561448237530211, 5.4784068115786901, 0.7219751723011373, 5.8031430353889437, -7.5416057196292359 +}; + +#undef m +#undef neta +#undef p +#undef peta +#undef rs + + diff --git a/Coyote/src/emu.c b/Coyote/src/emu.c new file mode 100644 index 0000000..1433940 --- /dev/null +++ b/Coyote/src/emu.c @@ -0,0 +1,214 @@ +/* + * emu.c + * + * + * Created by Earl Lawrence on 9/17/09. + * + * This program was prepared by Los Alamos National Security, LLC at Los Alamos National Laboratory (LANL) + * under contract No. DE-AC52-06NA25396 with the U.S. Department of Energy (DOE). All rights in the program + * are reserved by the DOE and Los Alamos National Security, LLC. Permission is granted to the public to + * copy and use this software without charge, provided that this Notice and any statement of authorship are + * reproduced on all copies. Neither the U.S. Government nor LANS makes any warranty, express or implied, + * or assumes any liability or responsibility for the use of this software. + * + * + */ + +// Sizes of stuff and number of redshifts + +#include "coyote.h" +#include "constants.h" + + +/* Used only one to create C-table with values of Kriging basis for constants.c */ +void KrigBasisOut() +{ + FILE *F; + int i, j; + + F = fopen("KrigBasis.dat", "w"); + fprintf(F, "const double KrigBasis[peta][m] = {\n"); + for (i=0; i ksim[nsim-1], coyote_range, + "Fourier mode k=%g 1/Mpc out of range [%g;%g]", + *err, __LINE__, -1.0, k_invMpc, ksim[0], ksim[nsim-1]); + + emu(xstar, ystar, err); + forwardError(*err, __LINE__, -1.0); + + /* Looking for right k-index with bisection */ + ilo = 0; + ihi = nsim-1; + while (ihi - ilo > 1) { + i = (ihi + ilo) >> 1; + if (ystar[i] > k_invMpc) ihi = i; + else ilo = i; + } + testErrorRetVA(ihi == ilo, math_wrongValue, "Bisection failed, both indices equal (%d)", *err, __LINE__, -1.0, ihi); + + /* Linear interpolation */ + val = (k_invMpc - ystar[ilo]) / (ystar[ihi] - ystar[ilo]) * (ystar[nsim + ihi] - ystar[nsim + ilo]) + ystar[nsim + ilo]; + + /* Coyote P(k) [Mpc^3] -> output P(k) [(Mpc/h)^3] */ + val *= h_100 * h_100 * h_100; + + return val; +} + +// The actual emulation +// Cosmological parameters, placeholder for the output, type of output +void emu(double *xstar, double *ystar, error **err) +{ + const double sd = 1.4613227729637035e-01; + + int i, j, k; + double wstar[peta], Sigmastar[peta][m], ystaremu[neta], ystar_allz[rs*nsim], logc; + double xstarstd[p]; + double zemu[rs], ybyz[rs]; + // Interpolation stuff for k and then z + gsl_spline *lininterp_k = gsl_spline_alloc(gsl_interp_linear, neta/rs); + gsl_spline *lininterp_z = gsl_spline_alloc(gsl_interp_linear, rs); + gsl_interp_accel *accel = gsl_interp_accel_alloc(); + + /* CosmoPMC version of Coyote: no initialisation, no static variables */ + //fprintf(stderr, "MKDEBUG: (m, neta, p, peta, rs) = (%d, %d, %d, %d, %d)\n", m, neta, p, peta, rs); + + // Check the inputs to make sure we're interpolating. + for(i=0; i xmin[i]+xrange[i]), coyote_range, + "Coyote emulator parameter #%d (%g) out of range [%g; %g]", + *err, __LINE__,, i, xstar[i], xmin[i], xmin[i] + xrange[i]); + } + + // Check redshift to make sure we're interpolating + testErrorRetVA((xstar[5] < 0.0) || (xstar[5] > 1.0), coyote_range, + "Redshift %g out of range [%g;%g]", *err, __LINE__,, xstar[5], 0.0, 1.0); + + // Standardize the inputs + for(i=0; i +#include +#include +#include +#include +#include +#include + +#include "coyote.h" +#include "fr_constants.h" + +/* Copy parameters to emulator input array */ +void fill_xstar6_wo_z(double omega_m, double omega_b, double n_spec, double sigma_8, double w0_de, double h_100, + double xstar[]) +{ + /* Orders reversed: (omega_b <-> omega_m), (w0_de <-> sigma_8), compared to v1 */ + xstar[0] = omega_b; + xstar[1] = omega_m; + xstar[2] = n_spec; + xstar[3] = h_100 * 100; + xstar[4] = w0_de; + xstar[5] = sigma_8; +} + + +/* ============================================================ * + * Returns the Coyote non-linear power spectrum. k is in units * + * of h/Mpc, h_100 is now an independent parameter (Coyote v2). * + * It is also used to transform it to [1/Mpc] as * + * needed by the Coyote emulator. * + * Six parameters, for coyote13. * + * ============================================================ */ +double P_NL_coyote6(double omega_m, double omega_b, double n_spec, double sigma_8, double w0_de, + double h_100, double a, double k, double **ystar_allz, error **err) +{ + double xstar[p+1], ystar[2*fr_nsim], val, k_invMpc; + int ihi, ilo, i; + + /* Copy cosmological parameters */ + fill_xstar6_wo_z(omega_m, omega_b, n_spec, sigma_8, w0_de, h_100, xstar); + + /* Redshift */ + xstar[p] = 1.0/a - 1.0; + + /* Input k is [h/Mpc], Coyote interpolates on k_invMpc in [1/Mpc] */ + k_invMpc = k * h_100; + + /* Check k-range */ + testErrorRetVA(k_invMpc < fr_ksim_min || k_invMpc > fr_ksim_max, coyote_range, + "Fourier mode k=%g 1/Mpc out of range [%g;%g]", + *err, __LINE__, -1.0, k_invMpc, fr_ksim_min, fr_ksim_max); + + if (*ystar_allz == NULL) { + *ystar_allz = malloc_err(sizeof(double) * fr_rs * fr_nsim, err); + forwardError(*err, __LINE__, -1.0); + + /* The actual emulator, filling the array in (k, z) */ + //testErrorRet(ystar_allz == NULL, io_null, "Coyote13: array for (k,z) 'ystar_allz' not initialised", + // *err, __LINE__,); + fr_fill_ystar_allz(*ystar_allz, xstar, err); + forwardError(*err, __LINE__, -1.0); + } + + /* ystar: first half = k, second half = P(k) */ + fr_emu(xstar, ystar, *ystar_allz, err); + forwardError(*err, __LINE__, -1.0); + + /* Looking for right k-index with bisection */ + ilo = 0; + ihi = fr_nsim-1; + while (ihi - ilo > 1) { + i = (ihi + ilo) >> 1; + if (ystar[i] > k_invMpc) ihi = i; + else ilo = i; + } + testErrorRetVA(ihi == ilo, math_wrongValue, "Bisection failed, both indices equal (%d)", *err, __LINE__, -1.0, ihi); + + /* Linear interpolation */ + val = (k_invMpc - ystar[ilo]) / (ystar[ihi] - ystar[ilo]) * (ystar[fr_nsim + ihi] + - ystar[fr_nsim + ilo]) + ystar[fr_nsim + ilo]; + + /* Coyote P(k) [Mpc^3] -> output P(k) [(Mpc/h)^3] */ + val *= h_100 * h_100 * h_100; + + return val; +} + + +void fr_check_range(const double *xstar, error **err) +{ + int i; + + for(i=0; i fr_xmin[i]+fr_xrange[i]), coyote_range, + "Coyote FrankenEmu parameter #%d (%g) out of range [%g; %g]", + *err, __LINE__,, i, xstar[i], fr_xmin[i], fr_xmin[i] + fr_xrange[i]); + } // for(i=0; i 4), coyote_range, + "Redshift %g out of range [%g;%g]", *err, __LINE__,, xstar[p], 0.0, 4.0); +} + +/* ============================================================ * + * The actual emulation. Fills the array ystar_allz for (k, z). * + * Cosmological parameters, placeholder for the output, type of * + * output. + * xstar[p] = redshift is not used here, only the p=6 cosmo. * + * parameters. * + * ============================================================ */ +void fr_fill_ystar_allz(double *ystar_allz, const double *xstar, error **err) +{ + const double sd = 0.16002; + int i, j, k; + double xstarstd[p], wstar[peta], Sigmastar[peta][m], ystaremu[neta]; + double logc; + + // Interpolation stuff for k + gsl_spline *lininterp_k = gsl_spline_alloc(gsl_interp_linear, neta/rs); + gsl_interp_accel *accel = gsl_interp_accel_alloc(); + + + //fprintf(stderr, "MKDEBUG: Filling ystar_allz for (%g, %g, %g, %g, %g, %g)\n", + // xstar[0], xstar[1], xstar[2], xstar[3], xstar[4], xstar[5]); + + // Standardize the inputs + for(i=0; i PREC) { + + h_100_mid = (h_100_max + h_100_min) / 2.0; + + wm = set_omega(omega_m, h_100_mid, physical); + wb = set_omega(omega_b, h_100_mid, physical); + rs = soundhorizon(wm, wb); + ymid = distls(wm, wb, w0_de, h_100_mid) - dLS * rs; + + if (ymin*ymid<0) { + h_100_max = h_100_mid; + //ymax = ymid; + } else { + h_100_min = h_100_mid; + ymin = ymid; + } + + } + + return h_100_mid; +} +#undef PREC + diff --git a/Demo/Makefile b/Demo/Makefile new file mode 100644 index 0000000..36997c3 --- /dev/null +++ b/Demo/Makefile @@ -0,0 +1,162 @@ +# -*- Makefile -*- +# +# Standalone Makefile for Demo +# Demo/Makefile.sa +# In the 'nicaea' package, this file is renamed to 'Demo/Makefile' +# Martin Kilbinger 2008 - 2014 + +CC = gcc + +FFTW = /usr/local +GSL = $(HOME) + +WARNINGS = -Wall -Wuninitialized -pedantic +OPTIM = -O3 +FPIC = -fPIC +ARCHFLAGS = -std=gnu9x + +ifeq ("$(shell uname)", "Darwin") + ARCH = MacOSX +endif + +ifeq ($(ARCH),MacOSX) + EXT_DYN = dylib + SHARED = -macosx_version_min 10.7 # -dynamiclib -single_module +else + EXT_DYN = so + SHARED = -shared +endif + +# Shared +#EXT = $(EXT_DYN) + +# Static +EXT = a + + + +cflags = -I$(FFTW)/include -I$(GSL)/include $(OPTIM) $(WARNINGS) $(ARCHFLAGS) $(FPIC) +lflags = -L$(FFTW)/lib -L$(GSL)/lib -lm -lgsl -lgslcblas -lfftw3 + +#objs := $(patsubst %.h,%.o,$(wildcard *.h)) +objs = cosmo.o lensing.o reduced_fit.o decomp_eb.o sn1a.o nofz.o lensing_3rd.o \ + constants.o fr_constants.o emu.o fr_emu.o hubble.o \ + cmb_bao.o halomodel.o hod.o errorlist.o io.o maths.o mvdens.o config.o par.o +exec = lensingdemo halomodeldemo decomp_eb_demo sn1ademo cmb_bao_demo \ + third_order_demo cosebi_demo + + +all: links_check libnicaea.$(EXT) + +links_check: + @ if ! test -e cosmo.c ; \ + then make links; \ + fi + make $(exec) + +# then echo "Type 'make links' then 'make' to compile demo programs"; \ + +lensingdemo: lensingdemo.o libnicaea.$(EXT) + $(CC) -o $@ $^ $(lflags) -lnicaea -L. + +halomodeldemo: halomodeldemo.o libnicaea.$(EXT) + $(CC) -o $@ $^ $(lflags) -lnicaea -L. + +decomp_eb_demo: decomp_eb_demo.o libnicaea.$(EXT) + $(CC) -o $@ $^ $(lflags) -lnicaea -L. + +cosebi_demo: cosebi_demo.o libnicaea.$(EXT) + $(CC) -o $@ $^ $(lflags) -lnicaea -L. + +sn1ademo: sn1ademo.o libnicaea.$(EXT) + $(CC) -o $@ $^ $(lflags) -lnicaea -L. + +cmb_bao_demo: cmb_bao_demo.o libnicaea.$(EXT) + $(CC) -o $@ $^ $(lflags) -lnicaea -L. + +third_order_demo: third_order_demo.o libnicaea.$(EXT) + $(CC) -o $@ $^ $(lflags) -lnicaea -L. + +libnicaea.$(EXT_DYN): $(objs) + $(LD) $(SHARED) -o $ $@ $^ $(lflags) + +libnicaea.a: $(objs) + $(AR) -r $@ $^ + + +%.o: %.c + $(CC) $< -c $(cflags) -o $@ + +.h: + + + +PHONY: links clean linksclean + +links: + ln -sf ../Cosmo/src/cosmo.c + ln -sf ../Cosmo/src/lensing.c + ln -sf ../Cosmo/src/reduced_fit.c + ln -sf ../Cosmo/src/decomp_eb.c + ln -sf ../Cosmo/src/sn1a.c + ln -sf ../Cosmo/src/nofz.c + ln -sf ../Cosmo/src/cmb_bao.c + ln -sf ../Cosmo/src/lensing_3rd.c + ln -sf ../Coyote/src/constants.c + ln -sf ../Coyote/src/fr_constants.c + ln -sf ../Coyote/src/emu.c + ln -sf ../Coyote/src/fr_emu.c + ln -sf ../Coyote/src/hubble.c + ln -sf ../halomodel/src/halomodel.c + ln -sf ../halomodel/src/hod.c + ln -sf ../tools/src/errorlist.c + ln -sf ../tools/src/io.c + ln -sf ../tools/src/maths.c + ln -sf ../tools/src/config.c + ln -sf ../tools/src/mvdens.c + ln -sf ../tools/src/par.c + + ln -sf ../Cosmo/include/cosmo.h + ln -sf ../Cosmo/include/lensing.h + ln -sf ../Cosmo/include/reduced_fit.h + ln -sf ../Cosmo/include/decomp_eb.h + ln -sf ../Cosmo/include/sn1a.h + ln -sf ../Cosmo/include/nofz.h + ln -sf ../Cosmo/include/cmb_bao.h + ln -sf ../Cosmo/include/lensing_3rd.h + ln -sf ../Coyote/include/constants.h + ln -sf ../Coyote/include/fr_constants.h + ln -sf ../Coyote/include/coyote.h + ln -sf ../halomodel/include/halomodel.h + ln -sf ../halomodel/include/hod.h + ln -sf ../tools/include/errorlist.h + ln -sf ../tools/include/io.h + ln -sf ../tools/include/maths.h + ln -sf ../tools/include/maths_base.h + ln -sf ../tools/include/config.h + ln -sf ../tools/include/mvdens.h + ln -sf ../tools/include/par.h + + ln -sf ../par_files/cosmo.par + ln -sf ../par_files/cosmoDP.par + ln -sf ../par_files/cosmo_3rd.par + ln -sf ../par_files/cosmo_SN.par + ln -sf ../par_files/cosmo_lens.par + ln -sf ../par_files/halomodel.par + ln -sf ../par_files/nofz.par + ln -sf ../par_files/nofz_1 + ln -sf ../par_files/nofz_2 + ln -sf ../par_files/nofz_hm.dat + ln -sf ../par_files/nofz_single + +linksclean: + @ rm -f cosmo.{c,h} lensing.{c,h} reduced_fit.{c,h} decomp_eb.{c,h} \ + sn1a.{c,h} nofz.{c,h} cmb_bao.{c,h} lensing_3rd.{c,h} constants.{c,h} \ + fr_constants.{c,h} emu.c fr_emu.cd hubble.c coyote.h \ + halomodel.{c,h} hod.{c,h} errorlist.{c,h} io.{c,h} \ + maths.{c,h} config.{c,h} mvdens.{c,h} maths_base.h par.{c,h} \ + cosmo.par cosmo_lens.par halomodel.par cosmo_SN.par cosmo_DP.par + +clean: + rm -rf *~ *.o lib*.a *.oct lib*.so lib*.dylib $(exec) + diff --git a/Demo/cmb_bao_demo.c b/Demo/cmb_bao_demo.c new file mode 100644 index 0000000..05f74dd --- /dev/null +++ b/Demo/cmb_bao_demo.c @@ -0,0 +1,69 @@ +/* ============================================================ * + * cmb_bao_demo.c * + * Martin Kilbinger 2010 * + * ============================================================ */ + +#include +#include + +#include "errorlist.h" +#include "io.h" +#include "maths.h" +#include "cosmo.h" +#include "cmb_bao.h" + + +int main(int argc, char** argv) +{ + cosmo *model; + FILE *F; + error *myerr = NULL, **err; + double z, z2, f, f2; + + err = &myerr; + + + F = fopen_err("cosmoDP.par", "r", err); + quitOnError(*err, __LINE__, stderr); + read_cosmological_parameters(&model, F, err); + quitOnError(*err, __LINE__, stderr); + fclose(F); + + printf("# Cosmological parameters:\n"); + dump_param(model, stdout); + printf("a_min = %g\n", model->a_min); + + z = z_drag(model); + fprintf(stderr, "Drag epoch, baryon decoupling redshift z_d = %g\n", z); + + f = r_sound_integral(model, 1.0/(1.0+z), err); + quitOnError(*err, __LINE__, stderr); + fprintf(stderr, "Sound horizon num integ (at z_d=%g) = %g Mpc/h (%g Mpc)\n", z, f, f/model->h_100); + + f = r_sound_drag_analytical(model, err); + quitOnError(*err, __LINE__, stderr); + fprintf(stderr, "Sound horizon analytical (at z_d=%g) = %g Mpc/h (%g Mpc)\n", z, f, f/model->h_100); + + f = r_sound_drag_fit(model, err); + quitOnError(*err, __LINE__, stderr); + fprintf(stderr, "Sound horizon EH fit (at z_d=%g) = %g Mpc/h (%g Mpc)\n", z, f, f/model->h_100); + + z = 0.35; + f = D_V(model, 1.0/(1.0+z), err); + quitOnError(*err, __LINE__, stderr); + printf("Spherically-averaged distance D_V(z=%g) = %g Mpc/h (%g Mpc)\n", z, f, f/model->h_100); + + z2 = 0.2; + f2 = D_V(model, 1.0/(1.0+z2), err); + quitOnError(*err, __LINE__, stderr); + printf("Spherically-averaged distance D_V(z=%g) = %g Mpc/h (%g Mpc)\n", z2, f2, f2/model->h_100); + printf("Ratio D_V(%g)/D_V(%g) = %g\n", z, z2, f/f2); + + z = 0.275; + f = D_V(model, 1.0/(1.0+z), err); + quitOnError(*err, __LINE__, stderr); + printf("Spherically-averaged distance D_V(z=%g) = %g Mpc/h (%g Mpc)\n", z, f, f/model->h_100); + + + return 0; +} diff --git a/Demo/cosebi_demo.c b/Demo/cosebi_demo.c new file mode 100644 index 0000000..3917bea --- /dev/null +++ b/Demo/cosebi_demo.c @@ -0,0 +1,375 @@ +/* ============================================================ * + * cosebi_demo.c * + * Martin Kilbinger, Liping Fu 2012. * + * 2013. Tomography. * + * Reference: * + * Schneider, Eifler, Krause 2010 * + * ============================================================ */ + +#include +#include +#include "errorlist.h" +#include "io.h" +#include "maths.h" +#include "cosmo.h" +#include "lensing.h" +#include "nofz.h" +#include "decomp_eb.h" + +#include +#include + + +void write_tpmlog(int n, double thmin, double thmax, const double *c, error **err) +{ + FILE *F; + double z, theta, tp, tm, dth; + char name[128]; + + sprintf(name, "T_%d_%.3f_%.3f.dat", n, thmin/arcmin, thmax/arcmin); + + F = fopen_err(name, "w", err); forwardError(*err, __LINE__,); + + fprintf(F, "# z=log(thmax/thmin) theta[arcmin] T_+^log T_-^log, (n, thmin, thmax = %d, %g, %g)\n", + n, thmin/arcmin, thmax/arcmin); + + dth = 1.01; + for (theta=thmin; theta<=thmax; theta*=dth) { + + z = log(theta / thmin); + + tp = Tplog_c(z, c, n, err); + forwardError(*err, __LINE__,); + + tm = Tmlog(z, c, n, err); + forwardError(*err, __LINE__,); + + fprintf(F, "%f %g % g % g\n", z, theta/arcmin, tp, tm); + } + + fclose(F); +} + + +void write_xi_pm_EB(int N, double thmin, double thmax, const double *c_cosebi, + const double *E_cos, const double *B_cos, error **err) +{ + double xi_pm_EB[4], theta, fth; + const char name[128] = "xi_pm_EB.dat"; + int n; + FILE *F; + + F = fopen_err(name, "w", err); forwardError(*err, __LINE__,); + fprintf(F, "# theta[arcmin] E+ E- B+ B-\n"); + + fth = 1.1; + for (theta=thmin; theta<=thmax; theta *= fth) { + xipmEB(theta, thmin, thmax, c_cosebi, E_cos, B_cos, N, xi_pm_EB, err); + forwardError(*err, __LINE__,); + + fprintf(F, "%12.3g ", theta/arcmin); + for (n=0; n<4; n++) fprintf(F, " % g", xi_pm_EB[n]); + fprintf(F, "\n"); + } + + fclose(F); +} + +double E_cosebi_data(const double *xip, const double *xim, const double *theta, int Nxi, + int n, double Psimin, double Psimax, const double *c_cosebi, + double *B_cosebi, error **err) +{ + double z, delta_theta, rp, rm, summand; + int i; + + + testErrorRetVA(Psimin < theta[0], mr_range, "COSEBI theta_min = %g' is smaller than xi theta_min = %g'", + *err, __LINE__, -1.0, Psimin / arcmin, theta[0] / arcmin); + testErrorRetVA(Psimax > theta[Nxi-1], mr_range, "COSEBI theta_max = %g' is larger than xi theta_max = %g'", + *err, __LINE__, -1.0, Psimax / arcmin, theta[Nxi-1] / arcmin); + + rp = rm = 0.0; + for (i=0; i Psimax) break; + + if (i > 0) { + delta_theta = theta[i] - theta[i-1]; + } else { + delta_theta = theta[1] - theta[0]; + } + + z = log(theta[i] / Psimin); + + summand = xip[i]; + summand *= theta[i] * delta_theta; + summand *= Tplog_c(z, c_cosebi, n, err); + forwardError(*err, __LINE__, -1.0); + rp += summand; + + summand = xim[i]; + summand *= theta[i] * delta_theta; + summand *= Tmlog(z, c_cosebi, n, err); + forwardError(*err, __LINE__, -1.0); + rm += summand; + + //printf("%g %g %g %g\n", theta[i]/arcmin, z, xip[i], xim[i]); + + } + + if (B_cosebi != NULL) { + *B_cosebi = 0.5 * (rp - rm); + } + + return 0.5 * (rp + rm); +} + +void usage(int ex) +{ + fprintf(stderr, "Calculates the COSEBIs from Schneider, Eifler, Krause 2010\n"); + fprintf(stderr, "Usage: coseb_demo [OPTIONS]\n"); + fprintf(stderr, "OPTIONS\n"); + fprintf(stderr, " -o OUT Output name OUT (default: stdout)\n"); + fprintf(stderr, " -N N Maximum COSEBIs mode N (default 10)\n"); + fprintf(stderr, " -m THMIN Minimum COSEBIs scale THMIN (in arcmin; default 1)\n"); + fprintf(stderr, " -M THMAX Maximum COSEBIs scale THMAX (in arcmin; default 250)\n"); + fprintf(stderr, " -d XI Data file XI (cosmo_pmc input ['xipm'] format; default none)\n"); + fprintf(stderr, " -T Write filter functions to files 'T_n_thmin_thmax.dat'\n"); + fprintf(stderr, " -X Write EB correlation functions to files 'xEB_n_thmin_thmax.dat'\n"); + fprintf(stderr, " -P PATH Path for coefficient files ('cosebi_tplog_rN_N_thmin_thmax';\n"); + fprintf(stderr, " default $COSMOPMC/par_files/COSEBIs)\n"); + fprintf(stderr, " -q Quiet\n"); + fprintf(stderr, " -h This message\n"); + + if (ex >= 0) exit(ex); +} + + +int main(int argc, char* argv[]) +{ + error *myerr = NULL, **err; + double *E_cos, *B_cos; + double Psimin, Psimax; + int c, N, n, Nxi, write_T, write_X, i_bin, j_bin, Nzbin, quiet; + cosmo_lens *model; + char *xi_name, *path, *strp, *output_name; + FILE *F, *Fout; + datcov *dc; + double *xip, *xim, *theta, *theta2, *c_cosebi; + + + err = &myerr; + + + /* Command line arguments */ + Psimin = 1.0; + Psimax = 250.0; + N = 10; + xi_name = NULL; + write_T = write_X = 0; + path = NULL; + output_name = NULL; + quiet = 0; + while (1) { + + static struct option long_options[] = { + {"", required_argument, 0, 'N'}, + {"", required_argument, 0, 'd'}, + {"", required_argument, 0, 'P'}, + {"", required_argument, 0, 'o'}, + {0, 0, 0, 0} + }; + + int option_index = 0; + + c = getopt_long(argc, argv, "o:N:d:m:M:TXP:qh", long_options, &option_index); + switch (c) { + case 'N' : + N = atoi(optarg); + break; + case 'd' : + xi_name = optarg; + break; + case 'P' : + path = optarg; + break; + case 'o' : + output_name = optarg; + break; + case 'm' : + Psimin = atof(optarg); + break; + case 'M' : + Psimax = atof(optarg); + break; + case 'T' : + write_T = 1; + break; + case 'X' : + write_X = 1; + break; + case 'q' : + quiet = 1; + break; + case 'h' : + usage(0); + case -1 : + goto end_arg; + default : + usage(1); + } + + } +end_arg: + + + if (quiet == 0) { + fprintf(stderr, "# cosebi_demo (M. Kilbinger, L. Fu, 2012)\n"); + } + + + if (N<0 || N>NMAX_COSEBI) { + fprintf(stderr, "N=%d out of range [0; %d]", N, NMAX_COSEBI); + exit(4); + } + + if (path == NULL) { + strp = getenv("COSMOPMC"); + if (strp == NULL) { + strp = "."; + } + path = malloc_err(sizeof(char) * 1024, err); + quitOnError(*err, __LINE__, stderr); + sprintf(path, "%s/par_files/COSEBIs", strp); + } + + if (output_name == NULL) { + Fout = stdout; + } else { + Fout = fopen_err(output_name, "w", err); + quitOnError(*err, __LINE__, stderr); + } + + E_cos = malloc_err(sizeof(double) * (N+1), err); quitOnError(*err, __LINE__, stderr); + B_cos = malloc_err(sizeof(double) * (N+1), err); quitOnError(*err, __LINE__, stderr); + + if (xi_name == NULL) { + + /* COSEBIs from theoretical model */ + + F = fopen_err("cosmo_lens.par", "r", err); + quitOnError(*err, __LINE__, stderr); + read_cosmological_parameters_lens(&model, F, err); + quitOnError(*err, __LINE__, stderr); + fclose(F); + Nzbin = model->redshift->Nzbin; + + dump_param(model->cosmo, stdout); + //fprintf(Fout, "# n E_n^{ij} B_n^{ij}\n# n"); + for (i_bin=0; i_bintomo==tomo_auto_only && i_bin!=j_bin) continue; + if (model->tomo==tomo_cross_only && i_bin==j_bin) continue; + fprintf(Fout, " E_n^{%d%d} B_n^{%d%d}", i_bin, j_bin, i_bin, j_bin); + } + } + fprintf(Fout, "\n"); + + for (n=1; n<=N; n++) { + fprintf(Fout, "%3d", n); + + for (i_bin=0; i_bintomo==tomo_auto_only && i_bin!=j_bin) continue; + if (model->tomo==tomo_cross_only && i_bin==j_bin) continue; + E_cos[n] = E_cosebi(model, n, Psimin*arcmin, Psimax*arcmin, i_bin, j_bin, path, B_cos+n, err); + quitOnError(*err, __LINE__, stderr); + fprintf(Fout, " % 15.6g % 15.6g", E_cos[n], B_cos[n]); + } + } + + fprintf(Fout, "\n"); + } + + c_cosebi = model->c_cosebi; + + } else { + + /* COSEBIs from data */ + c_cosebi = read_zeros_norm_cosebi_auto_check(Psimin*arcmin, Psimax*arcmin, path, err); + quitOnError(*err, __LINE__, stderr); + + dc = malloc_err(sizeof(datcov), err); + quitOnError(*err, __LINE__, stderr); + dc->format = angle_center; + /* Reading xi file */ + read_data_tomo(dc, xi_name, 0, second_order, err); + quitOnError(*err, __LINE__, stderr); + + Nzbin = dc->Nzbin; + dc->type = xipm; + + /* Header */ + //fprintf(Fout, "# n E_n^{ij} B_n^{ij}\n"); + fprintf(Fout, "# n "); + for (i_bin=0; i_bin +#include +#include + +#include "errorlist.h" +#include "io.h" +#include "maths.h" +#include "cosmo.h" +#include "lensing.h" +#include "nofz.h" +#include "decomp_eb.h" + +void usage(int ex) +{ + fprintf(stderr, "Usage: decomp_eb_decom [OPTIONS]\n"); + fprintf(stderr, "OPTIONS:\n"); + fprintf(stderr, " -c IND Coefficients for E-/B-mode estimator, optimised according to:\n"); + fprintf(stderr, " 0: S/N, eta=1/50\n"); + fprintf(stderr, " 1: FoM, eta=1/10\n"); + fprintf(stderr, " 2: FoM, eta=1/50\n"); + fprintf(stderr, " -x FNAME 2PCF from file FNAME (xipm format; default: 2PCF from theory)\n"); + fprintf(stderr, " -T 'THMIN THMAX NTH'\n"); + fprintf(stderr, " Calculate E-/B-modes on NTH logarithmis scales between THMIN\n"); + fprintf(stderr, " and THMAX (in arcmin); default: '1 100 15'\n"); + fprintf(stderr, " -o FNAME Ouput file name FNAME (default: 'REB')\n"); + fprintf(stderr, " -f Calculate and write filter functions T+, T-\n"); + fprintf(stderr, " -h This message\n"); + + exit(ex); +} + +#define N 6 +int main(int argc, char** argv) +{ + error *myerr = NULL, **err; + double eta, R, Psi, rp, rm, thmin, thmax, fth; + const double *a; + char choice; + cosmo_lens *model; + FILE *F, *Fc; + char *xi_fname, *out_fname; + int c, do_filter, Nth; + + + err = &myerr; + + printf("decomp_eb_demo (M. Kilbinger, L. Fu 2009)\n"); + + + xi_fname = NULL; + out_fname = NULL; + choice = '?'; + thmin = 1.0; + thmax = 100.0; + Nth = 15; + do_filter = 0; + while (1) { + + static struct option long_option[] = { + {"", required_argument, 0, 'c'}, + {"", required_argument, 0, 'x'}, + {"", required_argument, 0, 'T'}, + {"", required_argument, 0, 'o'}, + {0, 0, 0, 0} + }; + + int option_index = 0; + + c = getopt_long(argc, argv, "c:x:T:o:fh", long_option, &option_index); + switch (c) { + case 'x' : + xi_fname = optarg; + break; + case 'c' : + choice = optarg[0]; + break; + case 'T' : + sscanf(optarg, "%lf %lf %d\n", &thmin, &thmax, &Nth); + break; + case 'o' : + out_fname = optarg; + break; + case 'f' : + do_filter = 1; + break; + case 'h' : + usage(0); + case -1 : + goto end_arg; + default : + usage(1); + } + + } + end_arg: + + fth = pow(thmax/thmin, 1.0/((double)Nth - 0.999)); + + if (choice == '?') { + printf("Choice of coefficients for filter function:\n"); + printf(" Covariance from CFHTLS Wide 3rd data release (Fu et al. 2008)\n"); + printf(" S/N, eta=1/50 [0]\n"); + printf(" FoM, eta=1/10 [1]\n"); + printf(" FoM, eta=1/50 [2]\n"); + printf("Choice? "); + choice = getchar(); + } + + switch (choice) { + case '0' : a = a_FK10_SN; eta = eta_FK10_SN; break; + case '1' : a = a_FK10_FoM_eta10; eta = eta_FK10_FoM_eta10; break; + case '2' : a = a_FK10_FoM_eta50; eta = eta_FK10_FoM_eta50; break; + default : assert(0); + } + + R = (1.0+eta)/(1.0-eta); /* FK09 (10) */ + + printf("(%s)\n", out_fname); + if (out_fname == NULL) { + out_fname = "REB"; + } + printf("(%s)\n", out_fname); + + + if (do_filter == 1) { + double tp, tm, x; + printf("Writing filter functions T+, T- to file 'Tpm'\n"); + F = fopen_err("Tpm", "w", err); + quitOnError(*err, __LINE__, stderr); + for (x=-1.0; x<=1.0005; x+=0.005) { + tp = Tp(x, a, N, cheby2, err); + quitOnError(*err, __LINE__, stderr); + tm = Tm(x, a, N, cheby2, R, err); + quitOnError(*err, __LINE__, stderr); + fprintf(F, "% f % f % f\n", x, tp, tm); + } + fclose(F); + + return 0; + } + + + printf("Writing shear functions R_E, R_B to file '%s'\n", out_fname); + F = fopen_err(out_fname, "w", err); + quitOnError(*err, __LINE__, stderr); + + + if (xi_fname == NULL) { + + printf("Optimised E-/B-mode function from theory\n"); + + Fc = fopen_err("cosmo_lens.par", "r", err); + quitOnError(*err, __LINE__, stderr); + read_cosmological_parameters_lens(&model, Fc, err); + quitOnError(*err, __LINE__, stderr); + fclose(Fc); + + for (Psi=thmin*arcmin; Psi<=thmax*arcmin; Psi*=fth) { + rp = RR(model, Psi*eta, Psi, a, N, cheby2, +1, err); + quitOnError(*err, __LINE__, stderr); + rm = RR(model, Psi*eta, Psi, a, N, cheby2, -1, err); + quitOnError(*err, __LINE__, stderr); + fprintf(F, "% f % g % g\n", Psi/arcmin, 0.5*fabs(rp+rm), 0.5*fabs(rp-rm)); + fflush(F); + } + + } else { + + datcov *dc; + int i_bin=0, j_bin=0, Nxi, Nzbin; + double *xip, *xim, *theta, *theta2; + + printf("Optimised E-/B-mode function from data (file %s)\n", xi_fname); + + dc = malloc_err(sizeof(datcov), err); + quitOnError(*err, __LINE__, stderr); + dc->format = angle_center; + read_data_tomo(dc, xi_fname, 0, second_order, err); + quitOnError(*err, __LINE__, stderr); + + Nzbin = dc->Nzbin; + dc->type = xipm; + + /* Header */ + fprintf(F, "# Psi[arcmin]"); fprintf(F, "(RE RB)^{mn}\n "); + for (i_bin=0; i_bin +#include + +#include "errorlist.h" +#include "io.h" +#include "maths.h" +#include "cosmo.h" +#include "nofz.h" +#include "halomodel.h" +#include "hod.h" + + +int main() +{ + cosmo_hm *hm; + error *myerr = NULL, **err; + FILE *F; + double a; + int i_bin; + double k, fac, P1h, P2h, Pl, Pnl, P1hg, P2hg, zm; + + + err = &myerr; + + printf("# halomodeldemo (M. Kilbinger, 2009)\n"); + + F = fopen_err("halomodel.par", "r", err); + quitOnError(*err, __LINE__, stderr); + read_cosmological_parameters_hm(&hm, F, err); + quitOnError(*err, __LINE__, stderr); + fclose(F); + + dump_param_hm(hm, stdout, err); + quitOnError(*err, __LINE__, stderr); + + double R, sigma_R, dsigma2_R_dR; + for (R=0.1; R<700; R*=1.2) { + sigma_R = sqrt(sigma_R_sqr(hm, R, err)); + quitOnError(*err, __LINE__, stderr); + dsigma2_R_dR = dsigma_R_sqr_dR(hm, R, err); + quitOnError(*err, __LINE__, stderr); + printf("%g %g %g\n", R, sigma_R, dsigma2_R_dR); + } + + + for (i_bin=0; i_binredshift->Nzbin; i_bin++) { + + zm = zmean(hm->redshift, i_bin, err); + quitOnError(*err, __LINE__, stderr); + + fprintf(stderr, "Mean redshift (bin %d) = %.3f\n", i_bin, zm); + fprintf(stderr, "Comoving volume between z=0 and %f (bin %d) = %g (h^-3 Mpc^3 per solid angle\n", + zm, i_bin, vc(hm, 0.0, zm, err)); + quitOnError(*err, __LINE__, stderr); + } + + fprintf(stderr, "Calculating power spectra...\n"); + a = 0.99; + F = fopen_err("Phalo", "w", err); + quitOnError(*err, __LINE__, stderr); + fprintf(F, "# k P1h_dm P2h_dm P1h_g P2h_g P_L P_NL\n"); + for (k=0.01; k<300; k*=1.25) { + P1hg = P2hg = P1h = P2h = Pl = Pnl = 0.0; + fac = k*k*k/(2*pi*pi); + P1h = P1h_dm(hm, a, k, err); quitOnError(*err, __LINE__, stderr); + P2h = P2h_dm(hm, a, k, err); quitOnError(*err, __LINE__, stderr); + //P1hg = P1h_g(hm, a, k, err); quitOnError(*err, __LINE__, stderr); + //P2hg = FFTLog_P2h_g_hexcl(hm, a, k, 20, err); quitOnError(*err, __LINE__, stderr); + + Pl = P_L(hm->cosmo, a, k, err); quitOnError(*err, __LINE__, stderr); + Pnl = P_NL(hm->cosmo, a, k, err); quitOnError(*err, __LINE__, stderr); + fprintf(F, "%f %e %e %e %e %e %e\n", k, + P1h*fac, P2h*fac, P1hg*fac, P2hg*fac, Pl*fac, Pnl*fac); + //fprintf(stdout, "%f %e %e %e %e %e %e\n", k, + // P1h*fac, P2h*fac, P1hg*fac, P2hg*fac, Pl*fac, Pnl*fac); fflush(stdout); + } + fclose(F); + + + /* Clean up */ + + free_parameters_hm(&hm); + + return 0; +} diff --git a/Demo/lensingdemo.c b/Demo/lensingdemo.c new file mode 100644 index 0000000..30d649d --- /dev/null +++ b/Demo/lensingdemo.c @@ -0,0 +1,810 @@ +/* ============================================================ * + * lensingdemo.c * + * Martin Kilbinger 2008-2010 * + * ============================================================ */ + +#include +#include +#include +#include + +#include "errorlist.h" +#include "io.h" +#include "maths.h" +#include "cosmo.h" +#include "coyote.h" +#include "cmb_bao.h" +#include "lensing.h" +#include "nofz.h" + + +#define TH_MIN 0.5 +#define TH_MAX 400.0 +#define NTHETA 71 +#define ELL_MIN 0.01 +#define ELL_MAX 10000.0 +#define NELL 50 + +double mu_a_k(cosmo *cosmo, double a, double M_0, double sigma, double n, double k) +{ + double mu, M; + + // G.-B. Zhao et al. (2012) + //M = M_0 * pow(a, -sigma); + + // Harnois-Deraps et al. (2015) + M = M_0 * pow((4*cosmo->Omega_de + cosmo->Omega_m*pow(a, -3))/(4*cosmo->Omega_de + cosmo->Omega_m), (n+2.0)/2.0); + + mu = 1.0 / (3.0 + 3.0*dsqr(a*M/k)); + + return mu; +} + +double phi(double z) +{ + double z0, a, b, A; + + z0 = 0.53; + a = 1.1; + b = 1.1; + A = 2.3; + + return pow(z/z0, a) * exp(-pow(z/z0, b)) * A; +} + +double M_0_from_f_R0(cosmo *cosmo, double f_R0, double n) +{ + double M_0; + + M_0 = 1.0/R_HUBBLE * sqrt((cosmo->Omega_m + 4.0*cosmo->Omega_de)/((n+1.0)*f_R0)); + + return M_0; +} + +double mu_0(cosmo *cosmo, error **err) +{ + double kmax, a, M_0, f_R0, sigma, z, dz, mu0, n; + + kmax = 0.2; // h/Mpc + + // Zhao + M_0 = 0.02; //h/Mpc + sigma = 3; + + // Harnois-D + n = 1; + f_R0 = 3.0e-7; + M_0 = M_0_from_f_R0(cosmo, f_R0, n); + printf("M_0(f_R0=%g) = %g\n", f_R0, M_0); + + dz = 0.05; + + + for (mu0=0,z=0; z<2.5; z+=dz) { + a = 1.0/(z + 1.0); + mu0 += phi(z) * mu_a_k(cosmo, a, M_0, sigma, n, kmax) * cosmo->Omega_de / Omega_de_a(cosmo, a, -1, err) * dz; + } + + return mu0; +} + +void nofz_bins_equal_number(redshift_t *nofz, error **err) +{ + double zmin, zmax, val, z, norm, dz; + int nbin, i; + redshiftANDint rANDi; + + zmin = 0; + zmax = 2.5; + nbin = 10; + + rANDi.self = nofz; + rANDi.i = 2; // redshift bin #2 + + norm = sm2_qromberg(prob_unnorm, (void*)&rANDi, zmin, zmax, 1.0e-6, err); + printf("Redshift bins for equal number densities:\n"); + i = 0; + dz = 0.00001; + for (z=zmin; z<=zmax+0.2; z+=dz) { + val = sm2_qromberg(prob_unnorm, (void*)&rANDi, zmin, z, 1.0e-6, err); + if (val > norm/(double)nbin) { + printf("%.2f ", zmin); + zmin = z; + i++; + } + } + val = sm2_qromberg(prob_unnorm, (void*)&rANDi, zmin, zmax, 1.0e-6, err); + printf("%.2f ", zmin); + printf("%.2f\n", zmax); +} + +void write_header_p_kappa(FILE *F, int header, cosmo_lens *model, int dimensionless, int Nzbin, error **err) +{ + int i_bin, j_bin; + + if (header >= 2) { + dump_param_lens(model, F, 1, err); + forwardError(*err, __LINE__,); + + fprintf(F, "# Shear cross-power spectra "); + if (dimensionless == 0) { + fprintf(F, "P(l)"); + } else { + fprintf(F, "l(l+1)/(2pi)P(l)"); + } + fprintf(F, " for %d z-bin%s\n", Nzbin, Nzbin==1?"":"s"); + } + if (header >= 1) { + fprintf(F, "# l "); + for (i_bin=0; i_bintomo==tomo_auto_only && i_bin!=j_bin) continue; + if (model->tomo==tomo_cross_only && i_bin==j_bin) continue; + fprintf(F, "P_%s^%d%d(l) ", model->reduced==reduced_K10?"t":"k", i_bin, j_bin); + } + } + fprintf(F, " "); + for (i_bin=0; i_bintomo==tomo_auto_only && i_bin!=j_bin) continue; + if (model->tomo==tomo_cross_only && i_bin==j_bin) continue; + if (model->reduced!=reduced_none) { + fprintf(F, "P_g1^%d%d(l) ", i_bin, j_bin); + } + } + } + fprintf(F, "\n"); + } +} + +void usage(int ex) +{ + fprintf(stderr, "Usage: lensingdemo [OPTIONS]\n"); + fprintf(stderr, "OPTIONS\n"); + fprintf(stderr, " -t FNAME File containing angular scales in arcmin\n"); + fprintf(stderr, " -T 'TH_MIN TH_MAX NTH' NTH angular bins between TH_MIN and TH_MAX arcmin\n"); + fprintf(stderr, " (default: '%g %g %d')\n",TH_MIN, TH_MAX, NTHETA); + fprintf(stderr, " -L 'L_MIN L_MAX NL' NL Fourier modes between L_MIN and L_MAX (default: '%g %g %d')\n", ELL_MIN, ELL_MAX, NELL); + fprintf(stderr, " --linlog MODE Linear (MODE='LIN') or logarithmic ('LOG'; default) bins for xi+, xi-\n"); + fprintf(stderr, " -D DIM Dimensionless (DIM=1; default) or dimensional (DIM=0) 3D power spectrum\n"); + fprintf(stderr, " -H LEVEL Output file header level: 0 (no header), 1 (one line of column description), 2 (full; default)\n"); + fprintf(stderr, " -q Quiet mode\n"); + fprintf(stderr, " -h This message\n"); + + if (ex >= 0) exit(ex); +} + + +int main(int argc, char** argv) +{ + cosmo_lens* model; + double k, logk, ell, theta, a, pk, pg, f, z, cumG, Ga, ww, incr; + int i_bin, j_bin, Nzbin, c, dimensionless, verbose, lin, header, iell; + error *myerr = NULL, **err; + char *theta_fname, *theta_info, *ell_info, *substr, *slinlog; + FILE *F; + size_t Nrec, Ntheta, Nell; + double *theta_list, Theta_min, Theta_max, ell_min, ell_max, ell_fac; + double z_mean, z_median; + + + err = &myerr; + + + theta_fname = theta_info = ell_info = NULL; + slinlog = "LOG"; + dimensionless = 1; + verbose = 1; + lin = 0; + header = 2; + while (1) { + + static struct option long_option[] = { + {"", required_argument, 0, 't'}, + {"", required_argument, 0, 'T'}, + {"", required_argument, 0, 'L'}, + {"", required_argument, 0, 'D'}, + {"", required_argument, 0, 'H'}, + {"linlog", required_argument, 0, 'l'}, + {0, 0, 0, 0} + }; + + int option_index = 0; + + c = getopt_long(argc, argv, "t:T:L:l:qH:D:h", long_option, &option_index); + switch (c) { + case 't' : + theta_fname = optarg; + break; + case 'T' : + theta_info = optarg; + break; + case 'L': + ell_info = optarg; + break; + case 'l': + slinlog = optarg; + break; + case 'D': + dimensionless = atoi(optarg); + break; + case 'H': + header = atoi(optarg); + break; + case 'q' : + verbose = 0; + break; + case 'h' : + usage(0); + case -1 : + goto end_arg; + default : + usage(1); + } + + } +end_arg: + + if (verbose) { + printf("# lensingdemo (M. Kilbinger, 2006-2012)\n"); + } + + if (dimensionless > 0) { + dimensionless = 1; + } + + if (strcmp(slinlog, "lin")==0 || strcmp(slinlog, "LIN")==0) { + lin = 1; + } else if (strcmp(slinlog, "log")==0 || strcmp(slinlog, "LOG")==0) { + lin = 0; + } else { + fprintf(stderr, "Wrong linlog mode '%s'\n", slinlog); + exit(1); + } + + + + /* Setting up cosmology */ + + F = fopen_err("cosmo_lens.par", "r", err); + quitOnError(*err, __LINE__, stderr); + read_cosmological_parameters_lens(&model, F, err); + quitOnError(*err, __LINE__, stderr); + fclose(F); + + Nzbin = model->redshift->Nzbin; + + + if (verbose) { + printf("# Cosmological parameters:\n"); + dump_param_lens(model, stdout, 1, err); + quitOnError(*err, __LINE__, stderr); + + for (i_bin=0; i_binredshift, i_bin, err); + quitOnError(*err, __LINE__, stderr); + z_median = zmedian(model->redshift, i_bin, err); + quitOnError(*err, __LINE__, stderr); + printf("Mean/median redshift (bin %d) = %.5f/%.5f\n", i_bin, z_mean, z_median); + } + } + + /* w(z) */ + F = fopen_err("w_eos", "w", err); + quitOnError(*err, __LINE__, stderr); + dump_param(model->cosmo, F); + for (a=0.01; a<1.0; a+=0.01) { + fprintf(F, "%f %f\n", a, w_de(model->cosmo, a, err)); + quitOnError(*err, __LINE__, stderr); + } + fclose(F); + + /* Growth factor */ + F = fopen("D_plus", "w"); + for (a=0.1; a<1.0; a+=0.01) { + fprintf(F, "%f %.6f\n", a, D_plus(model->cosmo, a, 1, err)); + quitOnError(*err, __LINE__, stderr); + } + fclose(F); + + /* IST WL code comparison */ + char name[1024]; + int cc_case = 2; + char author_id[] = "MKNic"; + + // WL_case_C0 + /* + F = fopen("growthfac-MK.dat", "w"); + for (z=0.0; z<2.5; z+=0.01) { + a = 1.0 / (1.0 + z); + fprintf(F, "%f %.6f\n", z, D_plus(model->cosmo, a, 1, err)); + quitOnError(*err, __LINE__, stderr); + } + fclose(F); + */ + + // lensing efficiency + sprintf(name, "lensw-C%d-%s.dat", cc_case, author_id); + F = fopen(name, "w"); + for (z=0.0; z<1.0; z+=0.01) { + fprintf(F, "%g", z); + a = 1.0 / (1.0 + z); + for (i_bin=0; i_bin0.1; a-=0.01) { + ww = w(model->cosmo, a, 0, err); + quitOnError(*err, __LINE__, stderr); + Ga = G(model, a, 0, err); + quitOnError(*err, __LINE__, stderr); + cumG += Ga * ww; + fprintf(F, "%f %g %g %g\n", a, Ga * ww, cumG, ww); + } + fclose(F); + + /* a(w) */ + F = fopen("a_of_w", "w"); + fprintf(F, "# a w(a)\n"); + double wmax = w(model->cosmo, model->cosmo->a_min, 0, err); + quitOnError(*err, __LINE__, stderr); + for (ww=0; wwcosmo, ww, err); + quitOnError(*err, __LINE__, stderr); + fprintf(F, "%g %g\n", ww, a); + } + + /* w_limber2 */ + double w0, w0i, w1, w2, w3; + F = fopen("w_limber2", "w"); + fprintf(F, "# chi wl2(chi) wl2(chi, interp) wl2' wl2'' wl2'''\n"); + for (ww=0.01; wwcosmo->nonlinear == coyote10) { + set_H0_Coyote(model->cosmo, err); + quitOnError(*err, __LINE__, stderr); + if (verbose) { + printf("Coyote10: Hubble parameter set to h = %g\n", model->cosmo->h_100); + } + } + + F = fopen("P_delta", "w"); + if (header >= 2) { + dump_param(model->cosmo, F); + quitOnError(*err, __LINE__, stderr); + + if (dimensionless == 0) { + fprintf(F, "# k[h/Mpc] P_NL(k,a)[(Mpc/h)^3]\n"); + } else { + fprintf(F, "# k[h/Mpc] Delta_NL(k,a)\n"); + } + } + if (header >= 1) { + fprintf(F, "# k "); + for (a=1.0; a>=0.5; a-=0.5) { + fprintf(F, " a=%g", a); + } + fprintf(F, "\n"); + } + + for (k=0.0001; k<=100.0; k*=1.05) { + if (dimensionless == 0) { + f = 1.0; + } else { + f = k*k*k/(2.0*pi_sqr); + } + fprintf(F, "%e ", k); + for (a=1.0; a>=0.5; a-=0.5) { + if (a > model->cosmo->a_min) { + fprintf(F, "%e ", P_NL(model->cosmo, a, k, err)*f); + quitOnError(*err, __LINE__, stderr); + } else { + fprintf(F, "undef "); + } + } + fprintf(F, "\n"); + quitOnError(*err, __LINE__, stderr); + } + fclose(F); + + // WL_case_C0 + F = fopen("pkzero-lin-MK.dat", "w"); + quitOnError(*err, __LINE__, stderr); + + for (logk=-3; logk<=1.0; logk+=0.01) { + k = pow(10, logk) / model->cosmo->h_100; // k [Mpc^[-1] = k/h [h/Mpc] + pk = P_L(model->cosmo, 1.0, k, err) / pow(model->cosmo->h_100, 3); // Pk [Mpc^3/h^3] = Pk/h^3 + quitOnError(*err, __LINE__, stderr); + fprintf(F, "%8g %8g\n", logk, log10(pk)); + } + fclose(F); + + // XC_case_C1 + F = fopen("P_delta_nicaea_XC_1.dat", "w"); + quitOnError(*err, __LINE__, stderr); + + for (logk=-5; logk<=3.0; logk+=0.01) { + k = pow(10, logk); // / model->cosmo->h_100; // k [Mpc^[-1] = k/h [h/Mpc] + pk = P_L(model->cosmo, 0.5, k, err); // / pow(model->cosmo->h_100, 3); // Pk [Mpc^3/h^3] = Pk/h^3 + quitOnError(*err, __LINE__, stderr); + fprintf(F, "%8g %8g\n", k, pk); + } + fclose(F); + + + + /* Redshift distribution */ + if (verbose) { + printf("Printing redshift distribution to file nz\n"); + } + F = fopen("nz", "w"); + dump_param_lens(model, F, 1, err); + quitOnError(*err, __LINE__, stderr); + + for (z=0; z<=10; z+=0.01) { + fprintf(F, "%.3f", z); + for (i_bin=0; i_binredshift, z, i_bin, err)); + quitOnError(*err, __LINE__, stderr); + } + fprintf(F, "\n"); + } + fclose(F); + + //nofz_bins_equal_number(model->redshift, err); quitOnError(*err, __LINE__, stderr); + + /* Convergence power spectrum */ + + if (verbose) { + printf("Calculating convergence power spectrum for discrete ell, writing file P_kappa_d\n"); + } + + F = fopen("P_kappa_d", "w"); + write_header_p_kappa(F, header, model, dimensionless, Nzbin, err); + quitOnError(*err, __LINE__, stderr); + iell = 2; + //while (iell <= 1e5) { + while (iell < 400) { + if (dimensionless == 0) { + f = 1.0; + } else { + f = iell*(iell+1.0)/twopi; + } + fprintf(F, "%d ", iell); + for (i_bin=0; i_bintomo==tomo_auto_only && i_bin!=j_bin) continue; + if (model->tomo==tomo_cross_only && i_bin==j_bin) continue; + pk = Pshear_spherical(model, iell, i_bin, j_bin, err); + quitOnError(*err, __LINE__, stderr); + fprintf(F, " %e", pk*f); + } + } + + fprintf(F, "\n"); + fflush(F); + + //iell++; + if (iell<=10) iell++; + else if (iell<=20) iell += 2; + else if (iell<=50) iell += 5; + else iell += 10; + } + + fclose(F); + + if (model->projection != full) { + + if (verbose) { + printf("Calculating convergence power spectrum for continuous ell, writing file P_kappa\n"); + } + + F = fopen("P_kappa", "w"); + write_header_p_kappa(F, header, model, dimensionless, Nzbin, err); + quitOnError(*err, __LINE__, stderr); + + if (ell_info != NULL) { + substr = strsep(&ell_info, " "); ell_min = atof(substr); + substr = strsep(&ell_info, " "); ell_max = atof(substr); + substr = strsep(&ell_info, " "); Nell = atoi(substr); + } else { + ell_min = ELL_MIN; + ell_max = ELL_MAX; + Nell = NELL; + } + ell_fac = pow( ell_max / ell_min, 1.0 / ((double)Nell - 1)); + + + for (ell=ell_min; ell<=ell_max*1.001; ell*=ell_fac) { + if (dimensionless == 0) { + f = 1.0; + } else { + f = ell*(ell+1.0)/twopi; + } + fprintf(F, "%e ", ell); + for (i_bin=0; i_bintomo==tomo_auto_only && i_bin!=j_bin) continue; + if (model->tomo==tomo_cross_only && i_bin==j_bin) continue; + pk = Pshear(model, ell, i_bin, j_bin, err); + if (getErrorValue(*err)==reduced_fourier_limit) { + purgeError(err); + } + quitOnError(*err, __LINE__, stderr); + fprintf(F, " %e", pk*f); + } + } + fprintf(F, " "); + + if (model->reduced!=reduced_none) { + for (i_bin=0; i_bintomo==tomo_auto_only && i_bin!=j_bin) continue; + if (model->tomo==tomo_cross_only && i_bin==j_bin) continue; + pg = Pg1(model, ell, i_bin, j_bin, err); + if (getErrorValue(*err)==reduced_fourier_limit) { + purgeError(err); + } + quitOnError(*err, __LINE__, stderr); + fprintf(F, " %e", pg*f); + } + } + } + + fprintf(F, "\n"); + } + + fclose(F); + + } else { + + printf("For projection = full, real-space correlation functions are not yet implemented, exiting now...\n"); + return 0; + } + + + + /* Shear correlation functions */ + + if (theta_fname != NULL) { + + Nrec = 0; + theta_list = (double*)read_any_list_count(theta_fname, &Nrec, "%lg", sizeof(double), &Ntheta, err); + quitOnError(*err, __LINE__, stderr); + + } else { + + /* Create angular bins */ + if (theta_info != NULL) { + substr = strsep(&theta_info, " "); Theta_min = atof(substr); + substr = strsep(&theta_info, " "); Theta_max = atof(substr); + substr = strsep(&theta_info, " "); Ntheta = atoi(substr); + } else { + Theta_min = TH_MIN; + Theta_max = TH_MAX; + Ntheta = NTHETA; + } + + theta_list = malloc_err(sizeof(double) * Ntheta, err); + quitOnError(*err, __LINE__, stderr); + for (c=0; c= 2) { + dump_param_lens(model, F, 1, err); + quitOnError(*err, __LINE__, stderr); + } + if (header >= 1) { + fprintf(F, "# theta[arcmin] xi+^{mn}(theta)\n# th['] "); + for (i_bin=0; i_bintomo==tomo_auto_only && i_bin!=j_bin) continue; + if (model->tomo==tomo_cross_only && i_bin==j_bin) continue; + fprintf(F, " %d%d", i_bin, j_bin); + } + } + fprintf(F, "\n"); + } + + for (c=0; ctomo==tomo_auto_only && i_bin!=j_bin) continue; + if (model->tomo==tomo_cross_only && i_bin==j_bin) continue; + fprintf(F, " %e", xi(model, +1, theta, i_bin, j_bin, err)); + quitOnError(*err, __LINE__, stderr); + } + } + fprintf(F, "\n"); + } + fclose(F); + + F = fopen("xi_m", "w"); + if (header >= 2) { + dump_param_lens(model, F, 1, err); + quitOnError(*err, __LINE__, stderr); + } + if (header >= 1) { + fprintf(F, "# theta[arcmin] xi-^{mn}(theta)\n# th['] "); + for (i_bin=0; i_bintomo==tomo_auto_only && i_bin!=j_bin) continue; + if (model->tomo==tomo_cross_only && i_bin==j_bin) continue; + fprintf(F, " %d%d", i_bin, j_bin); + } + } + fprintf(F, "\n"); + } + + for (c=0; ctomo==tomo_auto_only && i_bin!=j_bin) continue; + if (model->tomo==tomo_cross_only && i_bin==j_bin) continue; + fprintf(F, " %e", xi(model, -1, theta, i_bin, j_bin, err)); + quitOnError(*err, __LINE__, stderr); + } + } + fprintf(F, "\n"); + } + fclose(F); + + + /* Tophat shear variance */ + + if (verbose) { + printf("Calculating tophat shear variance, writing file gammasqr\n"); + } + + F = fopen("gammasqr", "w"); + dump_param_lens(model, F, 1, err); + quitOnError(*err, __LINE__, stderr); + + fprintf(F, "# theta[arcmin] <|gamma|^2>^{mn}(theta)\n# "); + for (i_bin=0; i_bintomo==tomo_auto_only && i_bin!=j_bin) continue; + if (model->tomo==tomo_cross_only && i_bin==j_bin) continue; + fprintf(F, " %d%d", i_bin, j_bin); + } + } + fprintf(F, "\n"); + + for (c=0; ctomo==tomo_auto_only && i_bin!=j_bin) continue; + if (model->tomo==tomo_cross_only && i_bin==j_bin) continue; + fprintf(F, " %e", gamma2(model, theta, i_bin, j_bin, err)); + quitOnError(*err, __LINE__, stderr); + } + } + fprintf(F, "\n"); + } + fclose(F); + + + /* Aperture mass variance */ + + if (verbose) { + printf("Calculating aperture mass variance (polynomial filter), writing files mapsqr, mapsqr_gauss\n"); + } + + F = fopen("mapsqr", "w"); + if (header >= 2) { + dump_param_lens(model, F, 1, err); + quitOnError(*err, __LINE__, stderr); + + fprintf(F, "# M = (theta){polynomial}\n"); + } + + if (header >= 1) { + fprintf(F, "# theta[arcmin]"); + for (i_bin=0; i_bintomo==tomo_auto_only && i_bin!=j_bin) continue; + if (model->tomo==tomo_cross_only && i_bin==j_bin) continue; + fprintf(F, " M^{%d,%d}", i_bin, j_bin); + } + } + fprintf(F, "\n"); + } + + for (c=0; ctomo==tomo_auto_only && i_bin!=j_bin) continue; + if (model->tomo==tomo_cross_only && i_bin==j_bin) continue; + fprintf(F, " %e", map2_poly(model, theta, i_bin, j_bin, err)); + quitOnError(*err, __LINE__, stderr); + } + } + fprintf(F, "\n"); + } + fclose(F); + + F = fopen("mapsqr_gauss", "w"); + dump_param_lens(model, F, 1, err); + quitOnError(*err, __LINE__, stderr); + + fprintf(F, "# theta[arcmin] ^{mn}(theta){Gaussian}\n# "); + for (i_bin=0; i_bintomo==tomo_auto_only && i_bin!=j_bin) continue; + if (model->tomo==tomo_cross_only && i_bin==j_bin) continue; + fprintf(F, " %d%d", i_bin, j_bin); + } + } + fprintf(F, "\n"); + + for (c=0; ctomo==tomo_auto_only && i_bin!=j_bin) continue; + if (model->tomo==tomo_cross_only && i_bin==j_bin) continue; + fprintf(F, " %e", map2_gauss(model, theta, i_bin, j_bin, err)); + quitOnError(*err, __LINE__, stderr); + } + } + fprintf(F, "\n"); + } + fclose(F); + + + if (verbose) { + printf("Done\n"); + } + + free_parameters_lens(&model); + + return 0; +} +#undef TH_MIN +#undef TH_MAX +#undef NTHETA +#undef ELL_MIN +#undef ELL_MAX +#undef NELL diff --git a/Demo/sn1ademo.c b/Demo/sn1ademo.c new file mode 100644 index 0000000..3772fed --- /dev/null +++ b/Demo/sn1ademo.c @@ -0,0 +1,49 @@ + +#include "sn1a.h" +#include "cosmo.h" +#include "io.h" +#include "maths.h" +#include "errorlist.h" + + +#define CHI2_BIG 10000.0 + + +void print_dl(error **err) +{ + cosmo_SN *self; + double z, dl; + FILE *F; + + F = fopen_err("cosmo_SN.par", "r", err); + forwardError(*err, __LINE__,); + read_cosmological_parameters_SN(&self, F, err); + forwardError(*err, __LINE__,); + fclose(F); + + F = fopen_err("D_Lum", "w", err); + forwardError(*err, __LINE__,); + dump_param_SN(self, F); + fprintf(F, "# z D_{lum}\n"); + + for (z=0.01; z<1.1; z+=0.01) { + dl = D_lum(self->cosmo, 1/(1.0+z), err); + forwardError(*err, __LINE__,); + //mu = distance_module(self->cosmo, dl, err); + //forwardError(*err, __LINE__,); + fprintf(F, "%g %g\n", z, dl); + } + fclose(F); +} + +int main(int argc, char *argv[]) +{ + error *myerr = NULL, **err; + + err = &myerr; + + print_dl(err); + quitOnError(*err, __LINE__, stderr); + + return 0; +} diff --git a/Demo/third_order_demo.c b/Demo/third_order_demo.c new file mode 100644 index 0000000..b7e55bd --- /dev/null +++ b/Demo/third_order_demo.c @@ -0,0 +1,167 @@ +/* ============================================================ * + * third_order_demo.c * + * Martin Kilbinger 2010 * + * ============================================================ */ + +#include +#include +#include +#include + +#include "errorlist.h" +#include "io.h" +#include "maths.h" +#include "cosmo.h" +#include "cmb_bao.h" +#include "lensing.h" +#include "lensing_3rd.h" +#include "nofz.h" + + +#define NTHETA 20 +#define TH_MIN (1.0 / sqrt(2.0)) +#define TH_FAC (sqrt(2.0)) +void usage(int ex) +{ + fprintf(stderr, "Usage: lensingdemo [OPTIONS]\n"); + fprintf(stderr, "OPTIONS\n"); + fprintf(stderr, " -t FNAME File containing angular scales in arcmin\n"); + fprintf(stderr, " (default: %d bins between %g and %g arcmin)\n", + NTHETA, TH_MIN, TH_MIN * pow(TH_FAC, NTHETA-1)); + fprintf(stderr, " -d Diagonal only (three equal angular scales\n"); + fprintf(stderr, " -h This message\n"); + + if (ex >= 0) exit(ex); +} + +int SLC_test(cosmo_3rd *self, error **err) +{ + + double theta, SLC; + + theta = 2.0 * arcmin; + + SLC = map3_SLC_t1(self, theta, 0, err); + forwardError(*err, __LINE__, 0.0); + printf("SLC = %g\n", SLC); + return 0; + + + double a1, a2, q, abserr, chisqr, w1, w2, f1, f2; + + a1 = 0.4; + a2 = 0.8; + + w1 = w(self->lens->cosmo, a1, 0, err); forwardError(*err, __LINE__, 0.0); + f1 = f_K(self->lens->cosmo, w1, err); forwardError(*err, __LINE__, 0.0); + w2 = w(self->lens->cosmo, a2, 0, err); forwardError(*err, __LINE__, 0.0); + f2 = f_K(self->lens->cosmo, w2, err); forwardError(*err, __LINE__, 0.0); + + q = Q_mc(self, a1, a2, f1, f2, theta, &abserr, &chisqr, err); + forwardError(*err, __LINE__, 0.0); + + printf("q, relerr, chisqr = %g %g %g\n", q, abserr/q, chisqr); + + + + return 0; +} + +int main(int argc, char** argv) +{ + error *myerr = NULL, **err; + FILE *F; + //const double THETA[NTHETA] = {1.0, 5.4772, 30.0}; + double *THETA; + int i, j, k, c, diag_only; + size_t Nrec, Ntheta; + double theta[3], res; + cosmo_3rd *model; + char *theta_fname; + clock_t c_start; + + err = &myerr; + + theta_fname = NULL; + diag_only = 0; + while (1) { + + static struct option long_option[] = { + {"", required_argument, 0, 't'}, + {0, 0, 0, 0} + }; + + int option_index = 0; + + c = getopt_long(argc, argv, "dt:h", long_option, &option_index); + switch (c) { + case 't' : + theta_fname = optarg; + break; + case 'd' : + diag_only = 1; + break; + case 'h' : + usage(0); + case -1 : + goto end_arg; + default : + usage(1); + } + + } + end_arg: + + F = fopen_err("cosmo_3rd.par", "r", err); + quitOnError(*err, __LINE__, stderr); + read_cosmological_parameters_lens_3rd(&model, F, err); + quitOnError(*err, __LINE__, stderr); + fclose(F); + + printf("# Parameters:\n"); + dump_param_3rd(model, stdout, err); + quitOnError(*err, __LINE__, stderr); + + c_start = clock(); + + + if (theta_fname != NULL) { + Nrec = 0; + THETA = (double*)read_any_list_count(theta_fname, &Nrec, "%lg", sizeof(double), &Ntheta, err); + quitOnError(*err, __LINE__, stderr); + } else { + Ntheta = NTHETA; + THETA = malloc_err(sizeof(double) * Ntheta, err); + quitOnError(*err, __LINE__, stderr); + for (i=0; i/bin, the library libnicaea.a to /lib, and the include +files to /include/nicaea . The default base directory is +=nicaea_2.7 . + +If the necessary libraries are found on the system, the python module +pynicaea is also installed. + +The code can be tested with:: + + ctest -vv + +To run the demo programs (see below), go to nicaea_2.7/par_files . + +Option 2: using make.:: + + cd Demo + make + +If fftw3 and gsl are not installed in a standard directory (e.g. /usr, +/usr/local), set the variables 'FFTW' and 'GSL' in the Makefile. The header +file fftw3.h is looked for in $(FFTW)/include and libfftw3.a in $(FFTW)/lib. +The gsl header files are looked for in $(GSL)/include, the libraries libgsl.a +and libgslcblas.a in $(GSL)/lib. + +Various demo programs can be run in ./Demo, see below. + +Run the demo programs +--------------------- + +The demo programs need parameter files in the working directory, which can be +found in par_files. + ++------------------------+--------------+-----------------------------------------------------------------------+ +| Program name | Category | Functionality | ++========================+==============+=======================================================================+ +| lensingdemo | Weak lensing | density- and lensing power spectrum, lensing second-order functions | ++------------------------+--------------+-----------------------------------------------------------------------+ +| sn1demo | SNIa | Luminosity distance, distance module | ++------------------------+--------------+-----------------------------------------------------------------------+ +| halomodeldemo | Halo model | Power spectrum | ++------------------------+--------------+-----------------------------------------------------------------------+ +| cmb_bao_demo | CMB, BAO | geometrical quantities, e.g. sound horizon, angular diameter distance | ++------------------------+--------------+-----------------------------------------------------------------------+ +| decomp_eb_demo | Weak lensing | E-/B-mode decomposition (generaalized ring statistic) | ++------------------------+--------------+-----------------------------------------------------------------------+ +| cosebi_demo | Weak lensing | E-/B-mode decomposition (COSEBIs) | ++------------------------+--------------+-----------------------------------------------------------------------+ +| third_order_demo | Weak lensing | Third-order aperture-mass moments | 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The XML files are in $(BUILDDIR)/xml." + +.PHONY: pseudoxml +pseudoxml: + $(SPHINXBUILD) -b pseudoxml $(ALLSPHINXOPTS) $(BUILDDIR)/pseudoxml + @echo + @echo "Build finished. The pseudo-XML files are in $(BUILDDIR)/pseudoxml." + +.PHONY: dummy +dummy: + $(SPHINXBUILD) -b dummy $(ALLSPHINXOPTS) $(BUILDDIR)/dummy + @echo + @echo "Build finished. Dummy builder generates no files." diff --git a/docs/astro.bib b/docs/astro.bib new file mode 100644 index 0000000..326a8f5 --- /dev/null +++ b/docs/astro.bib @@ -0,0 +1,16255 @@ +/@string{apjs = "APJS"} + +% Problems for sphinx: +% - missing title +% - missing booktitle +% - missing journal + +%%%%%%% My refereed publications (also in preparation/submitted) + +@ARTICLE{KH17, + author = {Kilbinger, M. and others}, + title = {Precision calculations of the cosmic shear power spectrum}, + journal = {submitted to \mnras}, + year = {2017}, + eprint = {arXiv:XXXX.XXXX}, +} + +@ARTICLE{Scottez16, + author = {{Scottez}, V. and {Mellier}, Y. and {Granett}, B.~R. and {Moutard}, T. and + {Kilbinger}, M. and {Scodeggio}, M. and {Garilli}, B. and {Bolzonella}, M. and + {de la Torre}, S. and {Guzzo}, L. and {Abbas}, U. and {Adami}, C. and + {Arnouts}, S. and {Bottini}, D. and {Branchini}, E. and {Cappi}, A. and + {Cucciati}, O. and {Davidzon}, I. and {Fritz}, A. and {Franzetti}, P. and + {Iovino}, A. and {Krywult}, J. and {Le Brun}, V. and {Le F{\`e}vre}, O. and + {Maccagni}, D. and {Ma{\l}ek}, K. and {Marulli}, F. and {Polletta}, M. and + {Pollo}, A. and {Tasca}, L.~A.~M. and {Tojeiro}, R. and {Vergani}, D. and + {Zanichelli}, A. and {Bel}, J. and {Coupon}, J. and {De Lucia}, G. and + {Ilbert}, O. and {McCracken}, H.~J. and {Moscardini}, L.}, + title = "{Clustering-based redshift estimation: application to VIPERS/CFHTLS}", + journal = {\mnras}, +archivePrefix = "arXiv", + eprint = {1605.05501}, + keywords = {methods: data analysis, surveys, clustering, galaxies: distances and redshifts}, + year = 2016, + month = oct, + volume = 462, + pages = {1683-1696}, + doi = {10.1093/mnras/stw1500}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2016MNRAS.462.1683S}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{LKS16, + author = {{Lin}, C.-A. and {Kilbinger}, M. and {Pires}, S.}, + title = "{A new model to predict weak-lensing peak counts III. Filtering technique comparisons}", + journal = {\aap}, + OPTnote = {also arXiv:1603.06773}, +archivePrefix = "arXiv", + eprint = {1603.06773}, + keywords = {Astrophysics - Cosmology and Nongalactic Astrophysics}, + year = 2016, + volume = 593, + pages = {A88}, + OPTmonth = mar, + adsurl = {http://cdsads.u-strasbg.fr/abs/2016arXiv160306773L}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{Lieu16, + author = {{Lieu}, M. and {Smith}, G.~P. and {Giles}, P.~A. and {Ziparo}, F. and + {Maughan}, B.~J. and {D{\'e}mocl{\`e}s}, J. and {Pacaud}, F. and + {Pierre}, M. and {Adami}, C. and {Bah{\'e}}, Y.~M. and {Clerc}, N. and + {Chiappetti}, L. and {Eckert}, D. and {Ettori}, S. and {Lavoie}, S. and + {Le Fevre}, J.~P. and {McCarthy}, I.~G. and {Kilbinger}, M. and + {Ponman}, T.~J. and {Sadibekova}, T. and {Willis}, J.~P.}, + title = "{The XXL Survey . IV. Mass-temperature relation of the bright cluster sample}", + journal = {\aap}, +archivePrefix = "arXiv", + eprint = {1512.03857}, + keywords = {gravitational lensing: weak, X-rays: galaxies: clusters, galaxies: groups: general, galaxies: clusters: general}, + year = 2016, + month = jun, + volume = 592, + eid = {A4}, + pages = {A4}, + doi = {10.1051/0004-6361/201526883}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2016A%26A...592A...4L}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{Pierre16, + author = {{Pierre}, M. and {Pacaud}, F. and {Adami}, C. and {Alis}, S. and + {Altieri}, B. and {Baran}, N. and {Benoist}, C. and {Birkinshaw}, M. and + {Bongiorno}, A. and {Bremer}, M.~N. and {Brusa}, M. and {Butler}, A. and + {Ciliegi}, P. and {Chiappetti}, L. and {Clerc}, N. and {Corasaniti}, P.~S. and + {Coupon}, J. and {De Breuck}, C. and {Democles}, J. and {Desai}, S. and + {Delhaize}, J. and {Devriendt}, J. and {Dubois}, Y. and {Eckert}, D. and + {Elyiv}, A. and {Ettori}, S. and {Evrard}, A. and {Faccioli}, L. and + {Farahi}, A. and {Ferrari}, C. and {Finet}, F. and {Fotopoulou}, S. and + {Fourmanoit}, N. and {Gandhi}, P. and {Gastaldello}, F. and + {Gastaud}, R. and {Georgantopoulos}, I. and {Giles}, P. and + {Guennou}, L. and {Guglielmo}, V. and {Horellou}, C. and {Husband}, K. and + {Huynh}, M. and {Iovino}, A. and {Kilbinger}, M. and {Koulouridis}, E. and + {Lavoie}, S. and {Le Brun}, A.~M.~C. and {Le Fevre}, J.~P. and + {Lidman}, C. and {Lieu}, M. and {Lin}, C.~A. and {Mantz}, A. and + {Maughan}, B.~J. and {Maurogordato}, S. and {McCarthy}, I.~G. and + {McGee}, S. and {Melin}, J.~B. and {Melnyk}, O. and {Menanteau}, F. and + {Novak}, M. and {Paltani}, S. and {Plionis}, M. and {Poggianti}, B.~M. and + {Pomarede}, D. and {Pompei}, E. and {Ponman}, T.~J. and {Ramos-Ceja}, M.~E. and + {Ranalli}, P. and {Rapetti}, D. and {Raychaudury}, S. and {Reiprich}, T.~H. and + {Rottgering}, H. and {Rozo}, E. and {Rykoff}, E. and {Sadibekova}, T. and + {Santos}, J. and {Sauvageot}, J.~L. and {Schimd}, C. and {Sereno}, M. and + {Smith}, G.~P. and {Smol{\v c}i{\'c}}, V. and {Snowden}, S. and + {Spergel}, D. and {Stanford}, S. and {Surdej}, J. and {Valageas}, P. and + {Valotti}, A. and {Valtchanov}, I. and {Vignali}, C. and {Willis}, J. and + {Ziparo}, F.}, + title = "{The XXL Survey. I. Scientific motivations - XMM-Newton observing plan - Follow-up observations and simulation programme}", + journal = {\aap}, +archivePrefix = "arXiv", + eprint = {1512.04317}, + keywords = {X-rays: general, large-scale structure of Universe, X-rays: galaxies: clusters, surveys}, + year = 2016, + month = jun, + volume = 592, + eid = {A1}, + pages = {A1}, + doi = {10.1051/0004-6361/201526766}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2016A%26A...592A...1P}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{LK15b, + author = {{Lin}, C.-A. and {Kilbinger}, M.}, + title = "{A new model to predict weak-lensing peak counts. II. Parameter constraint strategies}", + journal = {\aap}, +archivePrefix = "arXiv", + eprint = {1506.01076}, + keywords = {gravitational lensing: weak, large-scale structure of Universe, methods: statistical}, + year = 2015, + month = nov, + volume = 583, + eid = {A70}, + pages = {A70}, + doi = {10.1051/0004-6361/201526659}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2015A%26A...583A..70L}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + + +@ARTICLE{great3-I, + author = {{Mandelbaum}, R. and {Rowe}, B. and {Armstrong}, R. and {Bard}, D. and + {Bertin}, E. and {Bosch}, J. and {Boutigny}, D. and {Courbin}, F. and + {Dawson}, W.~A. and {Donnarumma}, A. and {Fenech Conti}, I. and + {Gavazzi}, R. and {Gentile}, M. and {Gill}, M.~S.~S. and {Hogg}, D.~W. and + {Huff}, E.~M. and {Jee}, M.~J. and {Kacprzak}, T. and {Kilbinger}, M. and + {Kuntzer}, T. and {Lang}, D. and {Luo}, W. and {March}, M.~C. and + {Marshall}, P.~J. and {Meyers}, J.~E. and {Miller}, L. and {Miyatake}, H. and + {Nakajima}, R. and {Ngol{\'e} Mboula}, F.~M. and {Nurbaeva}, G. and + {Okura}, Y. and {Paulin-Henriksson}, S. and {Rhodes}, J. and + {Schneider}, M.~D. and {Shan}, H. and {Sheldon}, E.~S. and {Simet}, M. and + {Starck}, J.-L. and {Sureau}, F. and {Tewes}, M. and {Zarb Adami}, K. and + {Zhang}, J. and {Zuntz}, J.}, + title = "{GREAT3 results - I. Systematic errors in shear estimation and the impact of real galaxy morphology}", + journal = {\mnras}, +archivePrefix = "arXiv", + eprint = {1412.1825}, + keywords = {gravitational lensing: weak, methods: data analysis, techniques: image processing, cosmology: observations}, + year = {2015}, + month = jul, + volume = 450, + pages = {2963-3007}, + doi = {10.1093/mnras/stv781}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2015MNRAS.450.2963M}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{MWCK15, + author = {{McCracken}, H.~J. and {Wolk}, M. and {Colombi}, S. and {Kilbinger}, M. and + {Ilbert}, O. and {Peirani}, S. and {Coupon}, J. and {Dunlop}, J. and + {Milvang-Jensen}, B. and {Caputi}, K. and {Aussel}, H. and {B{\'e}thermin}, M. and + {Le F{\`e}vre}, O.}, + title = "{Probing the galaxy-halo connection in UltraVISTA to $z\sim2$}", + journal = {\mnras}, +archivePrefix = "arXiv", + eprint = {1411.4983}, + keywords = {methods: statistical, galaxies: evolution, galaxies: formation, large-scale structure of Universe}, + year = 2015, + month = may, + volume = 449, + pages = {901-916}, + doi = {10.1093/mnras/stv305}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2015MNRAS.449..901M}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{K15, + author = {{Kilbinger}, M.}, + title = "{Cosmology with cosmic shear observations: a review}", + journal = {Reports on Progress in Physics}, +archivePrefix = "arXiv", + eprint = {1411.0115}, + year = 2015, + month = jul, + volume = 78, + number = 8, + eid = {086901}, + pages = {086901}, + doi = {10.1088/0034-4885/78/8/086901}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2015RPPh...78h6901K}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{LK15a, + author = {{Lin}, C.-A. and {Kilbinger}, M.}, + title = "{A new model to predict weak-lensing peak counts. I. Comparison with N-body simulations}", + journal = {\aap}, +archivePrefix = "arXiv", + eprint = {1410.6955}, + keywords = {gravitational lensing: weak, large-scale structure of Universe, methods: statistical}, + year = 2015, + month = apr, + volume = 576, + eid = {A24}, + pages = {A24}, + doi = {10.1051/0004-6361/201425188}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2015A%26A...576A..24L}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{BK14, + author = {{B{\'e}thermin}, M. and {Kilbinger}, M. and {Daddi}, E. and + {Gabor}, J. and {Finoguenov}, A. and {McCracken}, H. and {Wolk}, M. and + {Aussel}, H. and {Strazzulo}, V. and {Le Floc'h}, E. and {Gobat}, R. and + {Rodighiero}, G. and {Dickinson}, M. and {Wang}, L. and {Lutz}, D. and + {Heinis}, S.}, + title = "{Clustering, host halos, and environment of z \~{} 2 galaxies as a function of their physical properties}", + journal = {\aap}, +archivePrefix = "arXiv", + eprint = {1405.0492}, + keywords = {galaxies: statistics, galaxies: halos, galaxies: formation, galaxies: evolution, infrared: galaxies, galaxies: starburst}, + year = 2014, + OPTmonth = jul, + volume = 567, + eid = {A103}, + pages = {A103}, + doi = {10.1051/0004-6361/201423451}, + adsurl = {http://adsabs.harvard.edu/abs/2014A%26A...567A.103B}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{MCK14, + author = {{Munshi}, D. and {Coles}, P. and {Kilbinger}, M.}, + title = "{Tomography and weak lensing statistics}", + journal = {\jcap}, +archivePrefix = "arXiv", + eprint = {1112.0495}, + primaryClass = "astro-ph.CO", + year = 2014, + month = apr, + volume = 4, + eid = {004}, + pages = {4}, + doi = {10.1088/1475-7516/2014/04/004}, + adsurl = {http://adsabs.harvard.edu/abs/2014JCAP...04..004M}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{CSKC14, + author = {{Covone}, G. and {Sereno}, M. and {Kilbinger}, M. and {Cardone}, V.~F. + }, + title = "{Measurement of the Halo Bias from Stacked Shear Profiles of Galaxy Clusters}", + journal = {\apjl}, +archivePrefix = "arXiv", + eprint = {1402.4815}, + primaryClass = "astro-ph.CO", + keywords = {dark matter, galaxies: clusters: general, gravitational lensing: weak, large-scale structure of universe }, + year = 2014, + month = apr, + volume = 784, + eid = {L25}, + pages = {L25}, + doi = {10.1088/2041-8205/784/2/L25}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2014ApJ...784L..25C}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{Wolk+13, + author = {{Wolk}, M. and {McCracken}, H.~J. and {Colombi}, S. and {Fry}, J.~N. and + {Kilbinger}, M. and {Hudelot}, P. and {Mellier}, Y. and {Ilbert}, O. + }, + title = "{Evolution of hierarchical clustering in the CFHTLS-Wide since $z \tilde 1$}", + journal = {\mnras}, +archivePrefix = "arXiv", + eprint = {1301.3301}, + primaryClass = "astro-ph.CO", + keywords = {methods: statistical, large-scale structure of Universe}, + year = 2013, + OPTmonth = oct, + volume = 435, + pages = {2-17}, + doi = {10.1093/mnras/stt1111}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2013MNRAS.435....2W}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{Giannantonio+13, + author = {{Giannantonio}, T. and {Ross}, A.~J. and {Percival}, W.~J. and + {Crittenden}, R. and {Bacher}, D. and {Kilbinger}, M. and {Nichol}, R. and + {Weller}, J.}, + title = "{Improved primordial non-Gaussianity constraints from measurements of galaxy clustering and the integrated Sachs-Wolfe effect}", + journal = {\prd}, +archivePrefix = "arXiv", + eprint = {1303.1349}, + primaryClass = "astro-ph.CO", + keywords = {Observational cosmology, Superclusters, large-scale structure of the Universe}, + year = 2014, + month = jan, + volume = 89, + number = 2, + eid = {023511}, + pages = {023511}, + doi = {10.1103/PhysRevD.89.023511}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2014PhRvD..89b3511G}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{Kitching:2012fj, + author = {{Kitching}, T.~D. and {Rowe}, B. and {Gill}, M. and {Heymans}, C. and + {Massey}, R. and {Witherick}, D. and {Courbin}, F. and {Georgatzis}, K. and + {Gentile}, M. and {Gruen}, D. and {Kilbinger}, M. and {Li}, G.~L. and + {Mariglis}, A.~P. and {Meylan}, G. and {Storkey}, A. and {Xin}, B. + }, + title = "{Image Analysis for Cosmology: Results from the GREAT10 Star Challenge}", + journal = {\apjs}, +archivePrefix = "arXiv", + eprint = {1210.1979}, + primaryClass = "astro-ph.IM", + keywords = {atmospheric effects, cosmology: observations, methods: data analysis, techniques: image processing}, + year = {2013}, + month = apr, + volume = 205, + eid = {12}, + pages = {12}, + doi = {10.1088/0067-0049/205/2/12}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2013ApJS..205...12K}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@article{WKWG12, + author = {{Wolz}, L. and {Kilbinger}, M. and {Weller}, J. and {Giannantonio}, T. + }, + title = "{On the validity of cosmological Fisher matrix forecasts}", + journal = {\jcap}, +archivePrefix = "arXiv", + eprint = {1205.3984}, + primaryClass = "astro-ph.CO", + year = 2012, + month = sep, + volume = 9, + eid = {009}, + pages = {9}, + doi = {10.1088/1475-7516/2012/09/009}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2012JCAP...09..009W}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{CK11, + author = {{Coupon}, J. and {Kilbinger}, M. and {McCracken}, H.~J. and + {Ilbert}, O. and {Arnouts}, S. and {Mellier}, Y. and {Abbas}, U. and + {de la Torre}, S. and {Goranova}, Y. and {Hudelot}, P. and {Kneib}, J.-P. and + {Le F{\`e}vre}, O.}, + title = "{Galaxy clustering in the CFHTLS-Wide: the changing relationship between galaxies and haloes since $z \sim 1.2{\star}$}", + journal = {\aap}, +archivePrefix = "arXiv", + eprint = {1107.0616}, + primaryClass = "astro-ph.CO", + keywords = {cosmology: observations, large-scale structure of Universe, galaxies: distances and redshifts, galaxies: halos, galaxies: evolution}, + year = 2012, + OPTmonth = jun, + volume = 542, + eid = {A5}, + pages = {A5}, + doi = {10.1051/0004-6361/201117625}, + adsurl = {http://adsabs.harvard.edu/abs/2012A%26A...542A...5C}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@Article{FHK11, + author = {Fu, L. and Huang, Z. and Kilbinger, M. and Radovich, + M. and Grado, A. and Puddu, E. and Shu, C. and + Huang, J.-S.}, + title = {Multi-dimensional clustering algorithm: Finding galaxy clusters in the field of {Abell} 383}, + journal = {Submitted to \aap}, + year = {2010}, + OPTkey = {}, + OPTvolume = {}, + OPTnumber = {}, + OPTpages = {}, + OPTmonth = {}, + OPTnote = {}, + OPTannote = {} +} + +@ARTICLE{LSBF10, + author = {{Lerchster}, M. and {Seitz}, S. and {Brimioulle}, F. and {Fassbender}, R. and + {Rovilos}, M. and {B{\"o}hringer}, H. and {Pierini}, D. and + {Kilbinger}, M. and {Finoguenov}, A. and {Quintana}, H. and + {Bender}, R.}, + title = "{The massive galaxy cluster XMMU J1230.3+1339 at z \~{} 1: colour-magnitude relation, Butcher-Oemler effect, X-ray and weak lensing mass estimates}", + journal = {\mnras}, +archivePrefix = "arXiv", + eprint = {1009.3930}, + primaryClass = "astro-ph.CO", + keywords = {gravitational lensing, galaxies: clusters: individual: XMMU J1230.3+1339, galaxies: fundamental parameters, X-rays: galaxies: clusters}, + year = 2011, + OPTmonth = mar, + volume = 411, + pages = {2667-2694}, + doi = {10.1111/j.1365-2966.2010.17874.x}, + adsurl = {http://adsabs.harvard.edu/abs/2011MNRAS.411.2667L}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{K10, + author = {{Kilbinger}, M.}, + title = "{Fitting formulae of the reduced-shear power spectrum for weak lensing}", + journal = {\aap}, +archivePrefix = "arXiv", + eprint = {1004.3493}, + primaryClass = "astro-ph.CO", + keywords = {gravitational lensing: weak, large-scale structure of Universe}, + year = 2010, + OPTmonth = sep, + volume = 519, + pages = {A19+}, + doi = {10.1051/0004-6361/201014829}, + adsurl = {http://adsabs.harvard.edu/abs/2010A%26A...519A..19K}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{BvWMK10, + author = {{Benjamin}, J. and {van Waerbeke}, L. and {M{\'e}nard}, B. and + {Kilbinger}, M.}, + title = "{Photometric redshifts: estimating their contamination and distribution using clustering information}", + journal = {\mnras}, +archivePrefix = "arXiv", + eprint = {1002.2266}, + primaryClass = "astro-ph.CO", + keywords = {methods: analytical, techniques: photometric, galaxies: distances and redshifts, galaxies: photometry, large-scale structure of Universe}, + year = 2010, + OPTmonth = oct, + volume = 408, + pages = {1168-1180}, + doi = {10.1111/j.1365-2966.2010.17191.x}, + adsurl = {http://adsabs.harvard.edu/abs/2010MNRAS.408.1168B}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} +¯ +@ARTICLE{KWR10, + author = {{Kilbinger}, M. and {Wraith}, D. and {Robert}, C.~P. and {Benabed}, K. and + {Capp{\'e}}, O. and {Cardoso}, {J.-F.} and {Fort}, G. and {Prunet}, S. and + {Bouchet}, F.~R.}, + title = "{Bayesian model comparison in cosmology with Population Monte Carlo}", + journal = {\mnras}, +archivePrefix = "arXiv", + eprint = {0912.1614}, + primaryClass = "astro-ph.CO", + keywords = {methods: statistical, cosmological parameters}, + year = 2010, + OPTmonth = jul, + volume = 405, + pages = {2381-2390}, + doi = {10.1111/j.1365-2966.2010.16605.x}, + adsurl = {http://adsabs.harvard.edu/abs/2010MNRAS.405.2381K}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@Article{SHJKS09, + author = {{Schrabback}, T. and {Hartlap}, J. and {Joachimi}, B. and {Kilbinger}, M. and + {Simon}, P. and {Benabed}, K. and {Brada{\v c}}, M. and {Eifler}, T. and + {Erben}, T. and {Fassnacht}, C.~D. and {High}, F.~W. and {Hilbert}, S. and + {Hildebrandt}, H. and {Hoekstra}, H. and {Kuijken}, K. and {Marshall}, P.~J. and + {Mellier}, Y. and {Morganson}, E. and {Schneider}, P. and {Semboloni}, E. and + {van Waerbeke}, L. and {Velander}, M.}, + title = "{Evidence of the accelerated expansion of the Universe from weak lensing tomography with COSMOS}", + journal = {\aap}, +archivePrefix = "arXiv", + eprint = {0911.0053}, + primaryClass = "astro-ph.CO", + keywords = {cosmological parameters, dark matter, large-scale structure of Universe, gravitational lensing: weak}, + year = 2010, + OPTmonth = jun, + volume = 516, + pages = {A63+}, + doi = {10.1051/0004-6361/200913577}, + adsurl = {http://adsabs.harvard.edu/abs/2010A%26A...516A..63S}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@Article{FK10, + author = {{Fu}, L. and {Kilbinger}, M.}, + title = "{A new cosmic shear function: Optimised E-/B-mode decomposition on a finite interval}", + journal = {\mnras}, +archivePrefix = "arXiv", + keywords = {Astrophysics - Cosmology and Extragalactic Astrophysics}, + year = 2010, + volume = 401, + pages = {1264-1274}, + OPTmonth = jul, + adsurl = {http://adsabs.harvard.edu/abs/2009arXiv0907.0795F}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{MKS10, + author = {{M{\'e}nard}, B. and {Kilbinger}, M. and {Scranton}, R.}, + title = "{On the impact of intergalactic dust on cosmology with Type Ia supernovae}", + journal = {\mnras}, +archivePrefix = "arXiv", + eprint = {0903.4199}, + primaryClass = "astro-ph.CO", + keywords = {supernovae: general, dust, extinction, cosmological parameters}, + year = 2010, + OPTmonth = aug, + volume = 406, + pages = {1815-1820}, + doi = {10.1111/j.1365-2966.2010.16464.x}, + adsurl = {http://adsabs.harvard.edu/abs/2010MNRAS.406.1815M}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{CIK09, + author = {{Coupon}, J. and {Ilbert}, O. and {Kilbinger}, M. and {McCracken}, H.~J. and + {Mellier}, Y. and {Arnouts}, S. and {Bertin}, E. and {Hudelot}, P. and + {Schultheis}, M. and {Le F{\`e}vre}, O. and {Le Brun}, V. and + {Guzzo}, L. and {Bardelli}, S. and {Zucca}, E. and {Bolzonella}, M. and + {Garilli}, B. and {Zamorani}, G. and {Zanichelli}, A.}, + title = "{Photometric redshifts for the CFHTLS T0004 Deep and Wide fields}", + journal = {\aap}, + OPTnote = {Also arXiv:0811.3326}, +OPTarchivePrefix = "arXiv", +OPTeprint = {0811.3326}, + keywords = {Astrophysics}, + year = 2009, + volume = 500, + pages = {981-998}, + OPTmonth = nov, + adsurl = {http://adsabs.harvard.edu/abs/2008arXiv0811.3326C}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{WK09, + author = {{Wraith}, D. and {Kilbinger}, M. and {Benabed}, K. and {Capp{\'e}}, O. and + {Cardoso}, J.-F. and {Fort}, G. and {Prunet}, S. and {Robert}, C.~P. + }, + title = "{Estimation of cosmological parameters using adaptive importance sampling}", + journal = {\prd}, + OPTeprint = {0903.0837}, + keywords = {Astrophysics - Cosmology and Extragalactic Astrophysics, Statistics - Computation}, + year = 2009, + volume = 80, + pages = {023507-023523}, + adsurl = {http://adsabs.harvard.edu/abs/2009arXiv0903.0837W}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System}, + OPTnote = {Also arXiv:0903.0837} +} + +@ARTICLE{KB09, + author = {{Kilbinger}, M. and {Benabed}, K. and {Guy}, J. and {Astier}, P. and + {Tereno}, I. and {Fu}, L. and {Wraith}, D. and {Coupon}, J. and + {Mellier}, Y. and {Balland}, C. and {Bouchet}, F.~R. and {Hamana}, T. and + {Hardin}, D. and {McCracken}, H.~J. and {Pain}, R. and {Regnault}, N. and + {Schultheis}, M. and {Yahagi}, H.}, + title = "{Dark-energy constraints and correlations with systematics from CFHTLS weak lensing, SNLS supernovae Ia and WMAP5}", + journal = {\aap}, +archivePrefix = "arXiv", + eprint = {0810.5129}, + keywords = {cosmology: observations, cosmology: cosmological parameters, methods: statistical}, + year = 2009, + OPTmonth = apr, + volume = 497, + pages = {677-688}, + doi = {10.1051/0004-6361/200811247}, + adsurl = {http://adsabs.harvard.edu/abs/2009A%26A...497..677K}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + + +@ARTICLE{TSUK09, + author = {Tereno, I. and Schimd, C. and Uzan, J.-P. and Kilbinger, M. and Vincent, F. and Fu, L.}, + title = "{{CFHTLS} weak-lensing constraints on the neutrino masses}", + journal = {\aap}, + OPTnote = {Also arXiv:0810.0555}, + year = 2009, + OPTmonth = dec, + volume = 712, + pages = {657-665}, + adsurl = {}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + + +@ARTICLE{DMMK08, + author = {{Dor{\'e}}, O. and {Martig}, M. and {Mellier}, Y. and + {Kilbinger}, M. and {Benjamin}, J. and {Fu}, L. and + {Hoekstra}, H. and {Schultheis}, M. and {Semboloni}, + E. and {Tereno}, I.}, + title = "{Testing Gravity with the CFHTLS-Wide Cosmic Shear Survey + and SDSS LRGs}", + journal = {Submitted to \prd}, + note = {Also arXiv:0712.1599}, + eprint = {0712.1599}, + year = 2008, + OPTmonth = dec, + OPTvolume = 712, + adsurl = {http://cdsads.u-strasbg.fr/abs/2007arXiv0712.1599D}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@ARTICLE{FSHK08, + author = {{Fu}, L. and {Semboloni}, E. and {Hoekstra}, H. and {Kilbinger}, M. and + {van Waerbeke}, L. and {Tereno}, I. and {Mellier}, Y. and {Heymans}, C. and + {Coupon}, J. and {Benabed}, K. and {Benjamin}, J. and {Bertin}, E. and + {Dor{\'e}}, O. and {Hudson}, M.~J. and {Ilbert}, O. and {Maoli}, R. and + {Marmo}, C. and {McCracken}, H.~J. and {M{\'e}nard}, B.}, + title = "{Very weak lensing in the CFHTLS wide: cosmology from cosmic shear in the linear regime}", + journal = {\aap}, +archivePrefix = "arXiv", + eprint = {0712.0884}, + keywords = {gravitational lensing, cosmological parameters, cosmology: observations, large-scale structure of Universe}, + year = 2008, + OPTmonth = feb, + volume = 479, + pages = {9-25}, + doi = {10.1051/0004-6361:20078522}, + adsurl = {http://adsabs.harvard.edu/abs/2008A%26A...479....9F}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{EKS08, + author = {{Eifler}, T. and {Kilbinger}, M. and {Schneider}, P.}, + title = "{Comparing cosmic shear measures. Optimizing the information content of cosmic shear data vectors}", + journal = {\aap}, + eprint = {arXiv:0708.4125}, + keywords = {cosmology: theory, gravitational lensing, large-scale structure of Universe, methods: statistical}, + year = 2008, + OPTmonth = apr, + volume = 482, + pages = {9-19}, + doi = {10.1051/0004-6361:20078573}, + adsurl = {http://adsabs.harvard.edu/abs/2008A%26A...482....9E}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{SK07, + author = {{Schneider}, P. and {Kilbinger}, M.}, + title = "{The ring statistics - how to separate E- and B-modes of cosmic shear correlation functions on a finite interval}", + journal = {\aap}, + eprint = {arXiv:astro-ph/0605084}, + year = 2007, + OPTmonth = feb, + volume = 462, + pages = {841-849}, + doi = {10.1051/0004-6361:20065532}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2007A%26A...462..841S}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@ARTICLE{KSE06, + author = {{Kilbinger}, M. and {Schneider}, P. and {Eifler}, T.}, + title = "{E- and B-mode mixing from incomplete knowledge of the shear correlation}", + journal = {\aap}, + eprint = {arXiv:astro-ph/0604520}, + year = 2006, + OPTmonth = oct, + volume = 457, + pages = {15-19}, + doi = {10.1051/0004-6361:20065495}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2006A%26A...457...15K}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@ARTICLE{MK05, + author = {{Munshi}, D. and {Kilbinger}, M.}, + title = "{Principal component analysis of weak lensing surveys}", + journal = {\aap}, + eprint = {arXiv:astro-ph/0511705}, + year = 2006, + OPTmonth = jun, + volume = 452, + pages = {63-73}, + doi = {10.1051/0004-6361:20054586}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2006A%26A...452...63M}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@ARTICLE{KM05, + author = {{Kilbinger}, M. and {Munshi}, D.}, + title = "{Designing weak lensing surveys: a generalized eigenmode analysis}", + journal = {\mnras}, + eprint = {arXiv:astro-ph/0509548}, + year = 2006, + OPTmonth = mar, + volume = 366, + pages = {983-995}, + doi = {10.1111/j.1365-2966.2005.09857.x}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2006MNRAS.366..983K}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@Article{KS05, + author = {Kilbinger, M. and Schneider, P.}, + title = {Cosmological parameters from combined second- and + third-order aperture mass statistics of cosmic shear}, + journal = {\aap}, + year = 2005, + volume = 442, + pages = {69-83} +} + +@ARTICLE{SKL05, + author = {Schneider, P. and Kilbinger, M. and Lombardi, M.}, + title = {The three-point correlation function of cosmic shear. {II}: Relation to the + bispectrum of the projected mass density and generalized third-order aperture + mass}, + journal = {\aap}, + year = 2005, + volume = {431}, + pages = {9-25}, + OPTnote = {{also}arXiv:astro-ph/0308328}, + eprint = {astro-ph/0308328} +} + +@ARTICLE{SPIN, + author = {{Rousselet-Perraut}, K. and {Stehl{\'e}}, C. and {Lanz}, T. and + {Le Bouquin}, J.~B. and {Boudoyen}, T. and {Kilbinger}, M. and + {Kochukhov}, O. and {Jankov}, S.}, + title = "{Stellar activity and magnetism studied by optical interferometry}", + journal = {\aap}, + year = 2004, + OPTmonth = jul, + volume = 422, + pages = {193-203}, + doi = {10.1051/0004-6361:20040151}, + adsurl = {http://cdsads.u-strasbg.fr/cgi-bin/nph-bib_query?bibcode=2004A%26A...422..193R&db_key=AST}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@ARTICLE{KS04, + author = {Kilbinger, M. and Schneider, P.}, + title = {Analysis of two-point statistics of cosmic shear: {II. + Optimizing the survey geometry}}, + journal = {\aap}, + year = 2004, + volume = 413, + pages = {465-476}, + OPTnote = {{Also}arXiv:astro-ph/0308119}, + eprint = {astro-ph/0308119} +} + +@Article{SvWKM02, + author = {Schneider, P. and Van~Waerbeke, L. and Kilbinger, M. and Mellier, Y.}, + title = {Analysis of two-point statistics of cosmic shear: I. {Estimators} and + covariances}, + journal = {\aap}, + year = 2002, + volume = 396, + pages = {1-19}, + OPTnote = {(Paper I)}, + OPTannote = {{also} arXiv:astro-ph/0206182},} + eprint = {astro-ph/0206182} +} + +%%%%%%%%% My unrefereed publications + +%%% Software + +@MISC{camelus_ascl, + author = {{Lin}, C.-A. and {Kilbinger}, M.}, + title = "{Camelus: Counts of Amplified Mass Elevations from Lensing with Ultrafast Simulations}", +howpublished = {Astrophysics Source Code Library}, + year = 2015, + month = feb, +archivePrefix = "ascl", + eprint = {1502.015}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2015ascl.soft02015L}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@MISC{athena_ascl, + author = {{Kilbinger}, M. and {Bonnett}, C. and {Coupon}, J.}, + title = "{athena: Tree code for second-order correlation functions}", + note = {Astrophysics Source Code Library}, + year = 2014, +archivePrefix = "ascl", + eprint = {1402.026}, + month = feb, + adsurl = {http://cdsads.u-strasbg.fr/abs/2014ascl.soft02026K}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@MISC{cosmo_pmc_ascl, + author = {{Kilbinger}, M. and {Benabed}, K. and {Capp{\'e}}, O. and {Coupon}, J. and + {Cardoso}, J.-F. and {Fort}, G. and {McCracken}, H.~J. and {Prunet}, S. and + {Robert}, C.~P. and {Wraith}, D.}, + title = "{CosmoPMC: Cosmology sampling with Population Monte Carlo}", + note = {Astrophysics Source Code Library}, + year = 2012, +archivePrefix = "ascl", + eprint = {1212.006}, + month = dec, + adsurl = {http://cdsads.u-strasbg.fr/abs/2012ascl.soft12006K}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +%%% Conference proceedings + +@INPROCEEDINGS{LK14, + author = {{Lin}, C.-A. and {Kilbinger}, M.}, + title = "{A New Model to Predict Weak Lensing Peak Counts}", + keywords = {peak counting, mass function, weak lensing,}, +booktitle = {Statistical Challenges in 21st Century Cosmology}, + year = 2014, + series = {IAU Symposium}, + volume = 306, + editor = {{Heavens}, A. and {Starck}, J.-L. and {Krone-Martins}, A.}, + month = may, + pages = {107-109}, + doi = {10.1017/S1743921314013477}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2014IAUS..306..107L}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@INPROCEEDINGS{KAAS12, + author = {{Kilbinger}, M. and {CFHTLenS Collaboration (www.cfhtlens.org)} + }, + title = "{Cosmological Constraints from Cosmic Shear in CFHTLenS}", +booktitle = {American Astronomical Society Meeting Abstracts}, + year = 2012, + series = {American Astronomical Society Meeting Abstracts}, + volume = 219, + OPTmonth = jan, + pages = {440.05}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2012AAS...21944005K}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@INPROCEEDINGS{XFK11, + author = {{Xu}, J. and {Fu}, L. and {Kilbinger}, M.}, + title = "{Decomposition of Cosmic Shear E-/B-Mode on a Finite Interval}", +booktitle = {Galaxy Evolution: Infrared to Millimeter Wavelength Perspective}, + year = 2011, + series = {Astronomical Society of the Pacific Conference Series}, + volume = 446, + editor = "{W.~Wang, J.~Lu, Z.~Luo, Z.~Yang, H.~Hua, \& Z.~Chen}", + OPTmonth = oct, + pages = {393}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2011ASPC..446..393X}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@INPROCEEDINGS{FHK11proc, + author = {{Fu}, L. and {Huang}, Z. and {Kilbinger}, M. and {Radovich}, M. and + {Grado}, A. and {Puddu}, E. and {Shu}, C. and {Huang}, J.~S. + }, + title = "{The Application of the Multi-Dimensional Clustering Algorithm in the Field of Abell 383}", +booktitle = {Galaxy Evolution: Infrared to Millimeter Wavelength Perspective}, + year = 2011, + series = {Astronomical Society of the Pacific Conference Series}, + volume = 446, + editor = "{W.~Wang, J.~Lu, Z.~Luo, Z.~Yang, H.~Hua, \& Z.~Chen}", + month = oct, + pages = {103}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2011ASPC..446..103F}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{CosmoPMC, + author = {{Kilbinger}, M. and {Benabed}, K. and {Capp\'e}, O. and {Cardoso}, {J.-F.} and + {Fort}, G. and {Prunet}, S. and {Robert}, C.~P. and {Wraith}, D. + }, + title = "{CosmoPMC: Cosmology Population Monte Carlo}", + journal = {arXiv:1101.0950}, +archivePrefix = "arXiv", + eprint = {1101.0950}, + primaryClass = "astro-ph.CO", + keywords = {Astrophysics - Cosmology and Extragalactic Astrophysics}, + year = 2011, + OPTmonth = jan, + adsurl = {http://adsabs.harvard.edu/abs/2011arXiv1101.0950K}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@InProceedings{Marseille, + author = {Kilbinger, M.}, + title = {Cosmological parameters from cosmic shear}, + booktitle = "{Marseille 2003 -- Where Cosmology and + Fundamental Physics meet}", + year = {2003}, + note = {Astro-ph/0309482}, +} + +@INPROCEEDINGS{Lausanne, + author = {{Kilbinger}, M. and {Schneider}, P.}, + title = "{Third-Order Aperture Mass Statistics of Cosmic Shear}", +booktitle = {IAU Symposium 225 -- Impact of Gravitational Lensing on Cosmology}, + year = 2005, + OPTmonth = jun, + pages = {81-86}, + doi = {10.1017/S1743921305001845}, + adsurl = {http://cdsads.u-strasbg.fr/cgi-bin/nph-bib_query?bibcode=2005IAUS..225...81K&db_key=AST}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@INPROCEEDINGS{SPIN-SPIE, + author = {{Rousselet-Perraut}, K. and {Stehl{\'e}}, C. and {Lanz}, T. and + {Boudoyen}, T. and {Jankov}, S. and {Vakili}, F. and {Kilbinger}, M. and + {Lebouquin}, J.-B. and {Kochukhov}, O.}, + title = "{Mapping abundance inhomogeneities and magnetic fields of chemically peculiar (CP) stars with optical aperture synthesis arrays}", +booktitle = {Interferometry for Optical Astronomy II. Edited by Wesley A. Traub. Proceedings of the SPIE, Volume 4838}, + year = 2003, + OPTmonth = feb, + pages = {1396-1402}, + adsurl = {http://cdsads.u-strasbg.fr/cgi-bin/nph-bib_query?bibcode=2003SPIE.4838.1396R&db_key=AST}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@INPROCEEDINGS{SPIN-ASP, + author = {{Rousselet-Perraut}, K. and {Stehl{\'e}}, C. and {Kilbinger}, M. and + {Chesneau}, O. and {Vakili}, F. and {Lanz}, T. and {Mathys}, G. + }, + title = {Simulation of Interfero-Polarimetric Observations for Magnetic Stars}, +booktitle = {ASP Conf. Ser. 248: Magnetic Fields Across the Hertzsprung-Russell Diagram}, + year = 2001, + pages = {629-632}, + adsurl = {http://cdsads.u-strasbg.fr/cgi-bin/nph-bib_query?bibcode=2001ASPC..248..629R&db_key=AST}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@Misc{SPINPoster, + author = {Kilbinger, M. and Rousselet-Perraut, K. and Stehl\'e, C.}, + title = {Spectro-Polarimetric INterferometry ({SPIN}) of {Ap} stars. {Results} on + Numerical Simulations}, + howpublished = {Poster presentation at XII Canary Island Winter School "Astrophysical + Spectropolarimetry"}, + year = 2000 +} + +%%% Catalogues +@ARTICLE{2016yCat.9049....0P, + author = {{Pierre}, M. and {Pacaud}, F. and {Adami}, C. and {Alis}, S. and + {Altieri}, B. and {Baran}, B. and {Benoist}, C. and {Birkinshaw}, M. and + {Bongiorno}, A. and {Bremer}, M.~N. and {Brusa}, M. and {Butler}, A. and + {Ciliegi}, P. and {Chiappetti}, L. and {Clerc}, N. and {Corasaniti}, P.~S. and + {Coupon}, J. and {De Breuck}, C. and {Democles}, J. and {Desai}, S. and + {Delhaize}, J. and {Devriendt}, J. and {Dubois}, Y. and {Eckert}, D. and + {Elyiv}, A. and {Ettori}, S. and {Evrard}, A. and {Faccioli}, L. and + {Farahi}, A. and {Ferrari}, C. and {Finet}, F. and {Fotopoulou}, S. and + {Fourmanoit}, N. and {Gandhi}, P. and {Gastaldello}, F. and + {Gastaud}, R. and {Georgantopoulos}, I. and {P.~Giles} and {Guennou}, L. and + {Guglielmo}, V. and {Horellou}, C. and {Husband}, K. and {Huynh}, M. and + {Iovino}, A. and {Kilbinger}, M. and {Koulouridis}, E. and {Lavoie}, S. and + {Le Brun}, A.~M.~C. and {Lefevre}, J.~P. and {Lidman}, C. and + {Lieu}, M. and {Lin}, C.~A. and {Mantz}, A. and {Maughan}, B.~J. and + {Maurogordato}, S. and {McCarthy}, I.~G. and {McGee}, S. and + {Melin}, J.~B. and {Melnyk}, O. and {Menanteau}, F. and {Novak}, M. and + {Paltani}, S. and {Plionis}, M. and {Poggianti}, B.~M. and {Pomarede}, D. and + {Pompei}, E. and {Ponman}, T.~J. and {Ramos-Ceja}, M.~E. and + {Ranalli}, P. and {Rapetti}, D. and {Raychaudury}, S. and {Reiprich}, T.~H. and + {Rottgering}, H. and {Rozo}, E. and {Ryko}, E. and {Sadibekova}, T. and + {Santos}, J. and {Sauvageot}, J.~L. and {Schimd}, C. and {Sereno}, M. and + {Smith}, G.~P. and {Smolcic}, V. and {Snowden}, S. and {Spergel}, D. and + {Stanford}, S. and {Surdej}, J. and {Valageas}, P. and {Valotti}, A. and + {Valtchanov}, I. and {Vignali}, C. and {Willis}, J. and {Ziparo}, F. + }, + title = "{VizieR Online Data Catalog: XXL Survey: First results (Pierre+, 2016)}", + journal = {VizieR Online Data Catalog}, + keywords = {Surveys, X-ray sources, Space observations, Observatory log, Clusters: galaxy, Radio sources, QSOs, Redshifts}, + year = 2016, + month = jun, + volume = 9049, + adsurl = {http://cdsads.u-strasbg.fr/abs/2016yCat.9049....0P}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +%%% Theses + +@MastersThesis{diplom, + author = {Kilbinger, M.}, + title = {Observing Strategy for a Cosmic Shear Survey}, + school = {Universit\"at Bonn}, + year = 2002 +} + + +%%%%%%%%%%% CFHTLenS Papers + +@ARTICLE{Coupon15, + author = {{Coupon}, J. and {Arnouts}, S. and {van Waerbeke}, L. and {Moutard}, T. and + {Ilbert}, O. and {van Uitert}, E. and {Erben}, T. and {Garilli}, B. and + {Guzzo}, L. and {Heymans}, C. and {Hildebrandt}, H. and {Hoekstra}, H. and + {Kilbinger}, M. and {Kitching}, T. and {Mellier}, Y. and {Miller}, L. and + {Scodeggio}, M. and {Bonnett}, C. and {Branchini}, E. and {Davidzon}, I. and + {De Lucia}, G. and {Fritz}, A. and {Fu}, L. and {Hudelot}, P. and + {Hudson}, M.~J. and {Kuijken}, K. and {Leauthaud}, A. and {Le F{\`e}vre}, O. and + {McCracken}, H.~J. and {Moscardini}, L. and {Rowe}, B.~T.~P. and + {Schrabback}, T. and {Semboloni}, E. and {Velander}, M.}, + title = "{The galaxy-halo connection from a joint lensing, clustering and abundance analysis in the CFHTLenS/VIPERS field}", + journal = {\mnras}, +archivePrefix = "arXiv", + eprint = {1502.02867}, + keywords = {gravitational lensing: weak, galaxies: clusters: general, cosmology: observations, dark matter}, + year = 2015, + month = may, + volume = 449, + pages = {1352-1379}, + doi = {10.1093/mnras/stv276}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2015MNRAS.449.1352C}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{CFHTLenS-halo-shapes, + author = {{Schrabback}, T. and {Hilbert}, S. and {Hoekstra}, H. and {Simon}, P. and + {van Uitert}, E. and {Erben}, T. and {Heymans}, C. and {Hildebrandt}, H. and + {Kitching}, T.~D. and {Mellier}, Y. and {Miller}, L. and {Van Waerbeke}, L. and + {Bett}, P. and {Coupon}, J. and {Fu}, L. and {Hudson}, M.~J. and + {Joachimi}, B. and {Kilbinger}, M. and {Kuijken}, K.}, + title = "{CFHTLenS: weak lensing constraints on the ellipticity of galaxy-scale matter haloes and the galaxy-halo misalignment}", + journal = {\mnras}, +archivePrefix = "arXiv", + eprint = {1507.04301}, + keywords = {gravitational lensing: weak, galaxies: haloes}, + year = 2015, + month = dec, + volume = 454, + pages = {1432-1452}, + doi = {10.1093/mnras/stv2053}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2015MNRAS.454.1432S}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@Article{CFHTLenS-2+3pt, + author = {{Fu}, L. and {Kilbinger}, M. and {Erben}, T. and {Heymans}, C. and + {Hildebrandt}, H. and {Hoekstra}, H. and {Kitching}, T.~D. and + {Mellier}, Y. and {Miller}, L. and {Semboloni}, E. and {Simon}, P. and + {van Waerbeke}, L. and {Coupon}, J. and {Harnois-D{\'e}raps}, J. and + {Hudson}, M.~J. and {Kuijken}, K. and {Rowe}, B. and {Schrabback}, T. and + {Vafaei}, S. and {Velander}, M.}, + title = "{CFHTLenS: cosmological constraints from a combination of cosmic shear two-point and three-point correlations}", + journal = {\mnras}, +archivePrefix = "arXiv", + eprint = {1404.5469}, + keywords = {methods: statistical, cosmological parameters}, + year = 2014, + OPTmonth = jul, + volume = 441, + pages = {2725-2743}, + doi = {10.1093/mnras/stu754}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2014MNRAS.441.2725F}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@Article{CFHTLenS-3pt, + author = {{Simon}, P. and {Semboloni}, E. and {van Waerbeke}, L. and {Hoekstra}, H. and + {Erben}, T. and {Fu}, L. and {Harnois-D{\'e}raps}, J. and {Heymans}, C. and + {Hildebrandt}, H. and {Kilbinger}, M. and {Kitching}, T.~D. and + {Miller}, L. and {Schrabback}, T.}, + title = "{CFHTLenS: a Gaussian likelihood is a sufficient approximation for a cosmological analysis of third-order cosmic shear statistics}", + journal = {\mnras}, +archivePrefix = "arXiv", + eprint = {1502.04575}, + keywords = {gravitational lensing: weak, methods: statistical, cosmology: observations, dark matter}, + year = {2015}, + OPTmonth = may, + volume = 449, + pages = {1505-1525}, + doi = {10.1093/mnras/stv339}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2015MNRAS.449.1505S}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@Article{CFHTLenS-2pt-notomo, + author = {{Kilbinger}, M. and {Fu}, L. and {Heymans}, C. and {Simpson}, F. and + {Benjamin}, J. and {Erben}, T. and {Harnois-D{\'e}raps}, J. and + {Hoekstra}, H. and {Hildebrandt}, H. and {Kitching}, T.~D. and + {Mellier}, Y. and {Miller}, L. and {van Waerbeke}, L. and {Benabed}, K. and + {Bonnett}, C. and {Coupon}, J. and {Hudson}, M.~J. and {Kuijken}, K. and + {Rowe}, B. and {Schrabback}, T. and {Semboloni}, E. and {Vafaei}, S. and + {Velander}, M.}, + title = "{CFHTLenS: combined probe cosmological model comparison using 2D weak gravitational lensing}", + journal = {\mnras}, +archivePrefix = "arXiv", + eprint = {1212.3338}, + primaryClass = "astro-ph.CO", + keywords = {methods: statistical, cosmological parameters}, + year = 2013, + OPTmonth = apr, + volume = 430, + pages = {2200-2220}, + doi = {10.1093/mnras/stt041}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2013MNRAS.430.2200K}, +} + +@Article{CFHTLenS-shapes, + author = {{Miller}, L. and {Heymans}, C. and {Kitching}, T.~D. and {van Waerbeke}, L. and + {Erben}, T. and {Hildebrandt}, H. and {Hoekstra}, H. and {Mellier}, Y. and + {Rowe}, B.~T.~P. and {Coupon}, J. and {Dietrich}, J.~P. and + {Fu}, L. and {Harnois-D{\'e}raps}, J. and {Hudson}, M.~J. and + {Kilbinger}, M. and {Kuijken}, K. and {Schrabback}, T. and {Semboloni}, E. and + {Vafaei}, S. and {Velander}, M.}, + title = "{Bayesian galaxy shape measurement for weak lensing surveys - III. Application to the Canada-France-Hawaii Telescope Lensing Survey}", + journal = {\mnras}, +archivePrefix = "arXiv", + eprint = {1210.8201}, + primaryClass = "astro-ph.CO", + keywords = {gravitational lensing: weak, methods: data analysis, methods: statistical, cosmology: observations}, + year = {2013}, + month = mar, + volume = 429, + pages = {2858-2880}, + doi = {10.1093/mnras/sts454}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2013MNRAS.429.2858M}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@Article{CFHTLenS-2pt-tomo, + author = {{Benjamin}, J. and {van Waerbeke}, L. and {Heymans}, C. and + {Kilbinger}, M. and {Erben}, T. and {Hildebrandt}, H. and {Hoekstra}, H. and + {Kitching}, T.~D. and {Mellier}, Y. and {Miller}, L. and {Rowe}, B. and + {Schrabback}, T. and {Simpson}, F. and {Coupon}, J. and {Fu}, L. and + {Harnois-D{\'e}raps}, J. and {Hudson}, M.~J. and {Kuijken}, K. and + {Semboloni}, E. and {Vafaei}, S. and {Velander}, M.}, + title = "{CFHTLenS tomographic weak lensing: quantifying accurate redshift distributions}", + journal = {\mnras}, +archivePrefix = "arXiv", + eprint = {1212.3327}, + primaryClass = "astro-ph.CO", + keywords = {techniques: photometric, galaxies: distances and redshifts, galaxies: photometry, cosmological parameters -- cosmology: observations, large-scale structure of Universe}, + year = 2013, + OPTmonth = may, + volume = 431, + pages = {1547-1564}, + doi = {10.1093/mnras/stt276}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2013MNRAS.431.1547B}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@Article{CFHTLenS-mod-grav, + author = {{Simpson}, F. and {Heymans}, C. and {Parkinson}, D. and {Blake}, C. and + {Kilbinger}, M. and {Benjamin}, J. and {Erben}, T. and {Hildebrandt}, H. and + {Hoekstra}, H. and {Kitching}, T.~D. and {Mellier}, Y. and {Miller}, L. and + {van Waerbeke}, L. and {Coupon}, J. and {Fu}, L. and {Harnois-D{\'e}raps}, J. and + {Hudson}, M.~J. and {Kuijken}, K. and {Rowe}, B. and {Schrabback}, T. and + {Semboloni}, E. and {Vafaei}, S. and {Velander}, M.}, + title = "{CFHTLenS: testing the laws of gravity with tomographic weak lensing and redshift-space distortions}", + journal = {\mnras}, +archivePrefix = "arXiv", + eprint = {1212.3339}, + primaryClass = "astro-ph.CO", + keywords = {gravitational lensing: weak, cosmology: observations}, + year = 2013, + OPTmonth = mar, + volume = 429, + pages = {2249-2263}, + doi = {10.1093/mnras/sts493}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2013MNRAS.429.2249S}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@Article{CFHTLenS-kappa-maps, + author = {{van Waerbeke}, L. and {Benjamin}, J. and {Erben}, T. and {Heymans}, C. and + {Hildebrandt}, H. and {Hoekstra}, H. and {Kitching}, T.~D. and + {Mellier}, Y. and {Miller}, L. and {Coupon}, J. and {Harnois-D{\'e}raps}, J. and + {Fu}, L. and {Hudson}, M. and {Kilbinger}, M. and {Kuijken}, K. and + {Rowe}, B. and {Schrabback}, T. and {Semboloni}, E. and {Vafaei}, S. and + {van Uitert}, E. and {Velander}, M.}, + title = "{CFHTLenS: mapping the large-scale structure with gravitational lensing}", + journal = {\mnras}, +archivePrefix = "arXiv", + eprint = {1303.1806}, + primaryClass = "astro-ph.CO", + keywords = {dark matter, large-scale structure of Universe}, + year = 2013, + month = aug, + volume = 433, + pages = {3373-3388}, + doi = {10.1093/mnras/stt971}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2013MNRAS.433.3373V}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@Article{CFHTLenS-IA, + author = {{Heymans}, C. and {Grocutt}, E. and {Heavens}, A. and {Kilbinger}, M. and + {Kitching}, T.~D. and {Simpson}, F. and {Benjamin}, J. and {Erben}, T. and + {Hildebrandt}, H. and {Hoekstra}, H. and {Mellier}, Y. and {Miller}, L. and + {van Waerbeke}, L. and {Brown}, M.~L. and {Coupon}, J. and {Fu}, L. and + {Harnois-D{\'e}raps}, J. and {Hudson}, M.~J. and {Kuijken}, K. and + {Rowe}, B. and {Schrabback}, T. and {Semboloni}, E. and {Vafaei}, S. and + {Velander}, M.}, + title = "{CFHTLenS tomographic weak lensing cosmological parameter constraints: Mitigating the impact of intrinsic galaxy alignments}", + journal = {\mnras}, +archivePrefix = "arXiv", + eprint = {1303.1808}, + primaryClass = "astro-ph.CO", + keywords = {cosmology: observations}, + year = 2013, + month = jul, + volume = 432, + pages = {2433-2453}, + doi = {10.1093/mnras/stt601}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2013MNRAS.432.2433H}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@Article{CFHTLenS-3d, + author = {{Kitching}, T.~D. and {Heavens}, A.~F. and {Alsing}, J. and + {Erben}, T. and {Heymans}, C. and {Hildebrandt}, H. and {Hoekstra}, H. and + {Jaffe}, A. and {Kiessling}, A. and {Mellier}, Y. and {Miller}, L. and + {van Waerbeke}, L. and {Benjamin}, J. and {Coupon}, J. and {Fu}, L. and + {Hudson}, M.~J. and {Kilbinger}, M. and {Kuijken}, K. and {Rowe}, B.~T.~P. and + {Schrabback}, T. and {Semboloni}, E. and {Velander}, M.}, + title = "{3D cosmic shear: cosmology from CFHTLenS}", + journal = {\mnras}, +archivePrefix = "arXiv", + eprint = {1401.6842}, + primaryClass = "astro-ph.CO", + keywords = {gravitational lensing: weak, cosmological parameters}, + year = 2014, + OPTmonth = aug, + volume = 442, + pages = {1326-1349}, + doi = {10.1093/mnras/stu934}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2014MNRAS.442.1326K}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{CFHTLenS-data, + author = {{Erben}, T. and {Hildebrandt}, H. and {Miller}, L. and {van Waerbeke}, L. and + {Heymans}, C. and {Hoekstra}, H. and {Kitching}, T.~D. and {Mellier}, Y. and + {Benjamin}, J. and {Blake}, C. and {Bonnett}, C. and {Cordes}, O. and + {Coupon}, J. and {Fu}, L. and {Gavazzi}, R. and {Gillis}, B. and + {Grocutt}, E. and {Gwyn}, S.~D.~J. and {Holhjem}, K. and {Hudson}, M.~J. and + {Kilbinger}, M. and {Kuijken}, K. and {Milkeraitis}, M. and + {Rowe}, B.~T.~P. and {Schrabback}, T. and {Semboloni}, E. and + {Simon}, P. and {Smit}, M. and {Toader}, O. and {Vafaei}, S. and + {van Uitert}, E. and {Velander}, M.}, + title = "{CFHTLenS: the Canada-France-Hawaii Telescope Lensing Survey - imaging data and catalogue products}", + journal = {\mnras}, +archivePrefix = "arXiv", + eprint = {1210.8156}, + keywords = {methods: data analysis, cosmology: observations}, + year = 2013, + month = aug, + volume = 433, + pages = {2545-2563}, + doi = {10.1093/mnras/stt928}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2013MNRAS.433.2545E}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{CFHTLenS-sys, + author = {{Heymans}, C. and {Van Waerbeke}, L. and {Miller}, L. and {Erben}, T. and + {Hildebrandt}, H. and {Hoekstra}, H. and {Kitching}, T.~D. and + {Mellier}, Y. and {Simon}, P. and {Bonnett}, C. and {Coupon}, J. and + {Fu}, L. and {Harnois D{\'e}raps}, J. and {Hudson}, M.~J. and + {Kilbinger}, M. and {Kuijken}, K. and {Rowe}, B. and {Schrabback}, T. and + {Semboloni}, E. and {van Uitert}, E. and {Vafaei}, S. and {Velander}, M. + }, + title = "{CFHTLenS: the Canada-France-Hawaii Telescope Lensing Survey}", + journal = {\mnras}, +archivePrefix = "arXiv", + eprint = {1210.0032}, + keywords = {gravitational lensing: weak, cosmology: observations}, + year = {2012}, + month = nov, + volume = 427, + pages = {146-166}, + doi = {10.1111/j.1365-2966.2012.21952.x}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2012MNRAS.427..146H}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +%%% CFHTLenS without me + +@ARTICLE{CFHTLenS-Clone, + author = {{Harnois-D{\'e}raps}, J. and {Vafaei}, S. and {van Waerbeke}, L. + }, + title = "{Gravitational lensing simulations - I. Covariance matrices and halo catalogues}", + journal = {\mnras}, +archivePrefix = "arXiv", + eprint = {1202.2332}, + primaryClass = "astro-ph.CO", + keywords = {gravitational lensing: weak, methods: statistical, dark matter, large-scale structure of Universe}, + year = 2012, + month = oct, + volume = 426, + pages = {1262-1279}, + doi = {10.1111/j.1365-2966.2012.21624.x}, + adsurl = {http://adsabs.harvard.edu/abs/2012MNRAS.426.1262H}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{CFHTLenS-photoz, + author = {{Hildebrandt}, H. and {Erben}, T. + and {Kuijken}, K. and {van Waerbeke}, L. and + {Heymans}, C. and {Coupon}, J. and {Benjamin}, J. and {Bonnett}, C. and + {Fu}, L. and {Hoekstra}, H. and {Kitching}, T.~D. and {Mellier}, Y. and + {Miller}, L. and {Velander}, M. and {Hudson}, M.~J. and {Rowe}, B.~T.~P. + {Schrabback}, T. and {Semboloni}, E. and {Ben{\'{\i}}tez}, N. + }, + title = "{CFHTLenS: improving the quality of photometric redshifts with precision photometry}", + journal = {\mnras}, +archivePrefix = "arXiv", + eprint = {1111.4434}, + primaryClass = "astro-ph.CO", + keywords = {galaxies: abundances, galaxies: high-redshift, galaxies: photometry}, + year = 2012, + month = apr, + volume = 421, + pages = {2355-2367}, + doi = {10.1111/j.1365-2966.2012.20468.x}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2012MNRAS.421.2355H}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@Article{CFHTLenS-PSF, + author = {Rowe, B. and others}, + title = {}, + journal = {in prep.}, + year = {2012}, +} + + +%%%%%%%%%%%% Books + +@BOOK{SaasFee, + author = {{Schneider}, P. and {Kochanek}, C.~S. and {Wambsganss}, J.}, + title = "{Gravitational Lensing: Strong, Weak and Micro}", + keywords = {Physics, Astronomy, Astrophysics and Cosmology, Astrophysics, Relativity and Cosmology, Astronomy}, +booktitle = {Gravitational Lensing: Strong, Weak and Micro. Saas-Fee Advanced Courses, Volume 33.~ISBN 978-3-540-30309-1.~Springer-Verlag Berlin Heidelberg, 2006}, + year = 2006, +publisher = {Springer Berlin Heidelberg}, + OPTeditor = {Schneider, P., Kochanek, C. S., & Wambsganss, J.}, + doi = {10.1007/978-3-540-30310-7}, + adsurl = {http://adsabs.harvard.edu/abs/2006glsw.book.....S}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@BOOK{1985stop.book.....G, + author = {{Goodman}, J.~W.}, + title = "{Statistical optics}", + publisher = {New York: Wiley}, + year = 1985, + url = {http://cdsads.u-strasbg.fr/cgi-bin/nph-bib_query?bibcode=1985stop.book.....G&db_key=AST}, + adsnote = {Provided by the NASA Astrophysics Data System} +} + +@BOOK{pee80, +AUTHOR = "P.~J.~E. 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Novigrad/Croatia. + Editors: R. Dettmar, U. Klein, P. Salucci. Published by SISSA}, + year = 2004, + month = dec, + adsurl = {http://cdsads.u-strasbg.fr/cgi-bin/nph-bib_query?bibcode=2004bdmh.confE..16S&db_key=AST}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@misc{2002hst..prop.5827R, + title = {Cosmic Shear With {ACS} Pure Parallels}, + author = {Rhodes, J.}, + howpublished = {HST Proposal ID 9480}, + year = 2002 +} + +@ARTICLE{2003AJ....126..666I, + author = {{Inada}, N. and {Becker}, R.~H. and {Burles}, S. and {Castander}, F.~J. and + {Eisenstein}, D. and {Hall}, P.~B. and {Johnston}, D.~E. and + {Pindor}, B. and {Richards}, G.~T. and {Schechter}, P.~L. and + {Sekiguchi}, M. and {White}, R.~L. and {Brinkmann}, J. and {Frieman}, J.~A. and + {Kleinman}, S.~J. and {Krzesi{\'n}ski}, J. and {Long}, D.~C. and + {Neilsen}, E.~H. and {Newman}, P.~R. and {Nitta}, A. and {Schneider}, D.~P. and + {Snedden}, S. and {York}, D.~G.}, + title = "{SDSS J092455.87+021924.9: An Interesting Gravitationally Lensed Quasar from the Sloan Digital Sky Survey}", + journal = {\aj}, + year = 2003, + month = aug, + volume = 126, + pages = {666-674}, + doi = {10.1086/375906}, + adsurl = {http://cdsads.u-strasbg.fr/cgi-bin/nph-bib_query?bibcode=2003AJ....126..666I&db_key=AST}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@Article{SLACSI, + author = {Bolton, A.~S. and Burles, S. and Koopmans, L.~.V.~.E. and Treu, T. + and Moustakas, L.~.A.}, + title = {The {Sloan Lens ACS Survey}. I. {A} Large Spectroscopically Selected Sample + of Massive Early-Type Lens Galaxies}, + journal = {ApJ in press}, + year = {2005}, + OPTkey = {}, + OPTvolume = {}, + OPTnumber = {}, + OPTpages = {}, + OPTmonth = {}, + OPTnote = {}, + note = {{Also}arXiv:astro-ph/0511453} +} + +@ARTICLE{2003MNRAS.346..746C, + author = {{Chae}, K.-H.}, + title = "{The Cosmic Lens All-Sky Survey: statistical strong lensing, cosmological parameters, and global properties of galaxy populations}", + journal = {\mnras}, + year = 2003, + month = dec, + volume = 346, + pages = {746-772}, + doi = {10.1111/j.1365-2966.2003.07092.x}, + adsurl = {http://cdsads.u-strasbg.fr/cgi-bin/nph-bib_query?bibcode=2003MNRAS.346..746C&db_key=AST}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@ARTICLE{2003ApJ...583..606K, + author = {{Koopmans}, L.~V.~E. and {Treu}, T.}, + title = "{The Structure and Dynamics of Luminous and Dark Matter in the Early-Type Lens Galaxy of 0047-281 at z = 0.485}", + journal = {\apj}, + year = 2003, + month = feb, + volume = 583, + pages = {606-615}, + doi = {10.1086/345423}, + adsurl = {http://cdsads.u-strasbg.fr/cgi-bin/nph-bib_query?bibcode=2003ApJ...583..606K&db_key=AST}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@ARTICLE{1964MNRAS.128..307R, + author = {{Refsdal}, S.}, + title = "{On the possibility of determining Hubble's parameter and the masses of galaxies from the gravitational lens effect}", + journal = {\mnras}, + year = 1964, + volume = 128, + pages = {307-310}, + adsurl = {http://cdsads.u-strasbg.fr/cgi-bin/nph-bib_query?bibcode=1964MNRAS.128..307R&db_key=AST}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@ARTICLE{2001PASA...18..207W, + author = {{Wambsganss}, J.}, + title = "{Microlensing of Quasars}", + journal = {Publications of the Astronomical Society of Australia}, + year = 2001, + volume = 18, + pages = {207-210}, + doi = {10.1071/AS01016}, + adsurl = {http://cdsads.u-strasbg.fr/cgi-bin/nph-bib_query?bibcode=2001PASA...18..207W&db_key=AST}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@ARTICLE{2004ApJ...610...69K, + author = {{Kochanek}, C.~S. and {Dalal}, N.}, + title = "{Tests for Substructure in Gravitational Lenses}", + journal = {\apj}, + year = 2004, + month = jul, + volume = 610, + pages = {69-79}, + doi = {10.1086/421436}, + adsurl = {http://cdsads.u-strasbg.fr/cgi-bin/nph-bib_query?bibcode=2004ApJ...610...69K&db_key=AST}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@ARTICLE{STEP1, + author = {{Heymans}, C. and {Van~Waerbeke}, L. and {Bacon}, D. and {Berge}, J. and + {Bernstein}, G. and {Bertin}, E. and {Bridle}, S. and {Brown}, M.~L. and + {Clowe}, D. and {Dahle}, H. and {Erben}, T. and {Gray}, M. and + {Hetterscheidt}, M. and {Hoekstra}, H. and {Hudelot}, P. and + {Jarvis}, M. and {Kuijken}, K. and {Margoniner}, V. and {Massey}, R. and + {Mellier}, Y. and {Nakajima}, R. and {Refregier}, A. and {Rhodes}, J. and + {Schrabback}, T. and {Wittman}, D.}, + title = "{The Shear Testing Programme - I. Weak lensing analysis of simulated ground-based observations}", + journal = {\mnras}, + eprint = {arXiv:astro-ph/0506112}, + year = 2006, + month = may, + volume = 368, + pages = {1323-1339}, + doi = {10.1111/j.1365-2966.2006.10198.x}, + adsurl = {http://adsabs.harvard.edu/abs/2006MNRAS.368.1323H}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + + +@ARTICLE{2005MNRAS.361..160H, + author = {{Heymans}, C. and {Brown}, M.~L. and {Barden}, M. and {Caldwell}, J.~A.~R. and + {Jahnke}, K. and {Peng}, C.~Y. and {Rix}, H.-W. and {Taylor}, A. and + {Beckwith}, S.~V.~W. and {Bell}, E.~F. and {Borch}, A. and {H{\"a}u{\ss}ler}, B. and + {Jogee}, S. and {McIntosh}, D.~H. and {Meisenheimer}, K. and + {S{\'a}nchez}, S.~F. and {Somerville}, R. and {Wisotzki}, L. and + {Wolf}, C.}, + title = "{Cosmological weak lensing with the HST GEMS survey}", + journal = {\mnras}, + year = 2005, + month = jul, + volume = 361, + pages = {160-176}, + doi = {10.1111/j.1365-2966.2005.09152.x}, + adsurl = {http://cdsads.u-strasbg.fr/cgi-bin/nph-bib_query?bibcode=2005MNRAS.361..160H&db_key=AST}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@ARTICLE{2004ApJ...605...29R, + author = {{Rhodes}, J. and {Refregier}, A. and {Collins}, N.~R. and {Gardner}, J.~P. and + {Groth}, E.~J. and {Hill}, R.~S.}, + title = "{Measurement of Cosmic Shear with the Space Telescope Imaging Spectrograph}", + journal = {\apj}, + year = 2004, + month = apr, + volume = 605, + pages = {29-36}, + doi = {10.1086/382181}, + adsurl = {http://cdsads.u-strasbg.fr/cgi-bin/nph-bib_query?bibcode=2004ApJ...605...29R&db_key=AST}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@ARTICLE{2005A&A...441...47K, + author = {{King}, L.~J.}, + title = "{Cosmic shear as a tool for precision cosmology: minimising intrinsic galaxy alignment-lensing interference}", + journal = {\aap}, + year = 2005, + month = oct, + volume = 441, + pages = {47-53}, + doi = 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{71-79}, + OPTmonth = {}, + OPTeprint = {astro-ph/0502243}, + OPTannote = {} +} + +@ARTICLE{2006MNRAS.367..611M, + author = {{Mandelbaum}, R. and {Hirata}, C.~M. and {Ishak}, M. and {Seljak}, U. and + {Brinkmann}, J.}, + title = "{Detection of large-scale intrinsic ellipticity-density correlation from the Sloan Digital Sky Survey and implications for weak lensing surveys}", + journal = {\mnras}, + year = 2006, + month = apr, + volume = 367, + pages = {611-626}, + doi = {10.1111/j.1365-2966.2005.09946.x}, + adsurl = {http://cdsads.u-strasbg.fr/cgi-bin/nph-bib_query?bibcode=2006MNRAS.367..611M&db_key=AST}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@Article{Heymans06, + author = {Heymans, C. and White, M. and Heavens, A. and Vale, C. + and {Van~Waerbeke}, L.}, + title = {Potential sources of contamination to weak lensing measurements: + constraints from N-body simulations}, + journal = {MNRAS}, + year = {2006}, + OPTkey = {}, + volume = {submitted}, + OPTnumber = {}, + OPTpages = {}, + OPTmonth = {}, + note = {{also}arXiv:astro-ph/0604001}, + OPTannote = {} +} + +@ARTICLE{2003NewAR..47..987B, + author = {{Bunn}, E.~F.}, + title = "{Separating E from B}", + journal = {New Astronomy Review}, + year = 2003, + month = dec, + volume = 47, + pages = {987-994}, + doi = {10.1016/S1387-6473(03)00219-7}, + adsurl = {http://cdsads.u-strasbg.fr/cgi-bin/nph-bib_query?bibcode=2003NewAR..47..987B&db_key=AST}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@ARTICLE{2006ApJ...636...21M, + author = {{Ma}, Z. and {Hu}, W. and {Huterer}, D.}, + title = "{Effects of Photometric Redshift Uncertainties on Weak-Lensing Tomography}", + journal = {\apj}, + eprint = {astro-ph/0506614}, + year = 2006, + month = jan, + volume = 636, + pages = {21-29}, + doi = {10.1086/497068}, + adsurl = {http://cdsads.u-strasbg.fr/cgi-bin/nph-bib_query?bibcode=2006ApJ...636...21M&db_key=AST}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@ARTICLE{H02, + author = {{Hamana}, T. and {Colombi}, S.~T. and {Thion}, A. and {Devriendt}, J.~E.~G.~T. and + {Mellier}, Y. and {Bernardeau}, F.}, + title = "{Source-lens clustering effects on the skewness of the lensing convergence}", + journal = {\mnras}, + eprint = {astro-ph/0012200}, + year = 2002, + month = feb, + volume = 330, + pages = {365-377}, + doi = {10.1046/j.1365-8711.2002.05103.x}, + adsurl = {http://adsabs.harvard.edu/cgi-bin/nph-bib_query?bibcode=2002MNRAS.330..365H&db_key=AST}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@Article{Sbias06, + author = {{Simon}, P. and {Hetterscheidt}, M. and {Schirmer}, M. and {Erben}, T. and + {Schneider}, P. and {Wolf}, C. and {Meisenheimer}, K.}, + title = "{GaBoDS: The Garching-Bonn Deep Survey. VI. Probing galaxy bias using weak gravitational lensing}", + journal = {\aap}, + eprint = {astro-ph/0606622}, + keywords = {galaxies: statistics, cosmology: dark matter, cosmology: large-scale structure of Universe, cosmology: observations}, + year = 2007, + month = jan, + volume = 461, + pages = {861-879}, + doi = {10.1051/0004-6361:20065904}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2007A%26A...461..861S}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2005A&A...432..783S, + author = {{Schneider}, P. and {Watts}, P.}, + title = "{Galaxy-galaxy-galaxy lensing: Third-order correlations between the galaxy and mass distributions in the Universe}", + journal = {\aap}, + eprint = {astro-ph/0502552}, + year = 2005, + OPTmonth = mar, + volume = 432, + pages = {783-795}, + doi = {10.1051/0004-6361:20041923}, + adsurl = {http://adsabs.harvard.edu/cgi-bin/nph-bib_query?bibcode=2005A%26A...432..783S&db_key=AST}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@ARTICLE{1998ApJ...498...43S, + author = {{Schneider}, P.}, + title = "{Cosmic Shear and Biasing}", + journal = {\apj}, + eprint = {astro-ph/9708269}, + year = 1998, + OPTmonth = may, + volume = 498, + pages = {43-+}, + doi = {10.1086/305559}, + OPTurl = {http://adsabs.harvard.edu/cgi-bin/nph-bib_query?bibcode=1998ApJ...498...43S&db_key=AST}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@ARTICLE{1998A&A...334....1V, + author = {{Van~Waerbeke}, L.}, + title = "{Scale dependence of the bias investigated by weak lensing}", + journal = {\aap}, + eprint = {astro-ph/9710244}, + year = 1998, + OPTmonth = jun, + volume = 334, + pages = {1-10}, + adsurl = {http://adsabs.harvard.edu/cgi-bin/nph-bib_query?bibcode=1998A%26A...334....1V&db_key=AST}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@ARTICLE{2000MNRAS.312..257H, + author = {{Hamilton}, A.~J.~S.}, + title = "{Uncorrelated modes of the non-linear power spectrum}", + journal = {\mnras}, + eprint = {astro-ph/9905191}, + year = 2000, + OPTmonth = feb, + volume = 312, + pages = {257-284}, + adsurl = {http://adsabs.harvard.edu/cgi-bin/nph-bib_query?bibcode=2000MNRAS.312..257H&db_key=AST}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@ARTICLE{2001MNRAS.326..326H, + author = {{Hamana}, T.}, + title = "{Lensing magnification effects on the cosmic shear statistics}", + journal = {\mnras}, + eprint = {arXiv:astro-ph/0104244}, + year = 2001, + month = sep, + volume = 326, + pages = {326-332}, + doi = {10.1046/j.1365-8711.2001.04607.x}, + adsurl = {http://adsabs.harvard.edu/abs/2001MNRAS.326..326H}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@ARTICLE{JonBen07, + author = {{Benjamin}, J. and {Heymans}, C. and {Semboloni}, E. and + {Van~Waerbeke}, L. and {Hoekstra}, H. and {Erben}, + T. and {Gladders}, M.~D. and {Hetterscheidt}, M. and + {Mellier}, Y. and {Yee}, H.~K.~C.}, + title = "{Cosmological constraints from the 100-deg$^{2}$ weak-lensing survey}", + journal = {\mnras}, + eprint = {arXiv:astro-ph/0703570}, + keywords = {gravitational lensing, cosmological parameters, cosmology: observations, large-scale structure of Universe}, + year = 2007, + month = oct, + volume = 381, + pages = {702-712}, + doi = {10.1111/j.1365-2966.2007.12202.x}, + adsurl = {http://adsabs.harvard.edu/abs/2007MNRAS.381..702B}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{W05, + author = {{White}, M.}, + title = "{Reducing the shear}", + journal = {Astroparticle Physics}, + eprint = {arXiv:astro-ph/0502003}, + year = 2005, + month = apr, + volume = 23, + pages = {349-354}, + adsurl = {http://adsabs.harvard.edu/abs/2005APh....23..349W}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@ARTICLE{2006PhRvD..73b3009D, + author = {{Dodelson}, S. and {Shapiro}, C. and {White}, M.}, + title = "{Reduced shear power spectrum}", + journal = {\prd}, + eprint = {arXiv:astro-ph/0508296}, + year = 2006, + month = jan, + volume = 73, + number = 2, + pages = {023009-+}, + doi = {10.1103/PhysRevD.73.023009}, + adsurl = {http://adsabs.harvard.edu/abs/2006PhRvD..73b3009D}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@ARTICLE{2006JCAP...03..007S, + author = {{Shapiro}, C. and {Cooray}, A.}, + title = "{The Born and lens lens corrections to weak gravitational lensing angular power spectra}", + journal = {\jcap}, + eprint = {arXiv:astro-ph/0601226}, + year = 2006, + OPTmonth = mar, + volume = 3, + pages = {7-+}, + doi = {10.1088/1475-7516/2006/03/007}, + adsurl = {http://adsabs.harvard.edu/abs/2006JCAP...03..007S}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@ARTICLE{2002ApJ...574...19C, + author = {{Cooray}, A. and {Hu}, W.}, + title = "{Second-Order Corrections to Weak Lensing by Large-Scale Structure}", + journal = {\apj}, + eprint = {arXiv:astro-ph/0202411}, + year = 2002, + month = jul, + volume = 574, + pages = {19-23}, + doi = {10.1086/340892}, + adsurl = {http://adsabs.harvard.edu/abs/2002ApJ...574...19C}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@ARTICLE{2007MNRAS.382..121H, + author = {{Hilbert}, S. and {White}, S.~D.~M. and {Hartlap}, J. and {Schneider}, P. + }, + title = "{Strong lensing optical depths in a {$\Lambda$}CDM universe}", + journal = {\mnras}, + eprint = {arXiv:astro-ph/0703803}, + year = 2007, + month = nov, + volume = 382, + pages = {121-132}, + doi = {10.1111/j.1365-2966.2007.12391.x}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2007MNRAS.382..121H}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@ARTICLE{2006A&A...447...31A, + author = {{Astier}, P. and {Guy}, J. and {Regnault}, N. and {Pain}, + R. and {Aubourg}, E. and {Balam}, D. and {Basa}, + S. and {Carlberg}, R.~G. and {Fabbro}, S. and + {Fouchez}, D. and {Hook}, I.~M. and {Howell}, + D.~A. and {Lafoux}, H. and {Neill}, J.~D. and + {Palanque-Delabrouille}, N. and {Perrett}, K. and + {Pritchet}, C.~J. and {Rich}, J. and {Sullivan}, + M. and {Taillet}, R. and {Aldering}, G. and + {Antilogus}, P. and {Arsenijevic}, V. and {Balland}, + C. and {Baumont}, S. and {Bronder}, J. and + {Courtois}, H. and {Ellis}, R.~S. and {Filiol}, + M. and {Gon{\c c}alves}, A.~C. and {Goobar}, A. and + {Guide}, D. and {Hardin}, D. and {Lusset}, V. and + {Lidman}, C. and {McMahon}, R. and {Mouchet}, M. and + {Mourao}, A. and {Perlmutter}, S. and {Ripoche}, + P. and {Tao}, C. and {Walton}, N. }, + title = "{The Supernova Legacy Survey: measurement of + ${\Omega}_{m}$, ${\Omega}_{\Lambda}$ and w from the first + year data set}", + journal = {\aap}, + OPTeprint = {arXiv:astro-ph/0510447}, + year = 2006, + OPTmonth = feb, + volume = 447, + pages = {31-48}, + doi = {10.1051/0004-6361:20054185}, + adsurl = {http://adsabs.harvard.edu/abs/2006A%26A...447...31A}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@ARTICLE{2006A&A...454...27B, + author = {{Bartelmann}, M. and {Doran}, M. and {Wetterich}, C.}, + title = "{Non-linear structure formation in cosmologies with early dark energy}", + journal = {\aap}, + eprint = {arXiv:astro-ph/0507257}, + year = 2006, + month = jul, + volume = 454, + pages = {27-36}, + doi = {10.1051/0004-6361:20053922}, + adsurl = {http://adsabs.harvard.edu/abs/2006A%26A...454...27B}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@ARTICLE{2007A&A...463..405S, + author = {{Schimd}, C. and {Tereno}, I. and {Uzan}, J.-P. and + {Mellier}, Y. and {Van~Waerbeke}, L. and + {Semboloni}, E. and {Hoekstra}, H. and {Fu}, L. and + {Riazuelo}, A.}, + title = "{Tracking quintessence by cosmic shear. Constraints from VIRMOS-Descart and CFHTLS and future prospects}", + journal = {\aap}, + eprint = {arXiv:astro-ph/0603158}, + year = 2007, + OPTmonth = feb, + volume = 463, + pages = {405-421}, + doi = {10.1051/0004-6361:20065154}, + adsurl = {http://adsabs.harvard.edu/abs/2007A%26A...463..405S}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@ARTICLE{2007ApJS..172..239M, + author = {{Massey}, R. and {Rhodes}, J. and {Leauthaud}, A. and {Capak}, P. and + {Ellis}, R. and {Koekemoer}, A. and {R{\'e}fr{\'e}gier}, A. and others}, + title = "{COSMOS: Three-dimensional Weak Lensing and the Growth of Structure}", + journal = {\apjs}, + eprint = {arXiv:astro-ph/0701480}, + year = 2007, + OPTmonth = sep, + volume = 172, + pages = {239-253}, + doi = {10.1086/516599}, + adsurl = {http://adsabs.harvard.edu/abs/2007ApJS..172..239M}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@ARTICLE{2001A&A...372..391C, + author = {{Czoske}, O. and {Kneib}, J.-P. and {Soucail}, G. and + {Bridges}, T.~J. and {Mellier}, Y. and {Cuillandre}, + J.-C.}, + title = "{A wide-field spectroscopic survey of the cluster of + galaxies Cl0024+1654. 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The + catalogue}", + journal = {\aap}, + eprint = {arXiv:astro-ph/0103123}, + year = 2001, + month = jun, + volume = 372, + pages = {391-405}, + doi = {10.1051/0004-6361:20010398}, + adsurl = {http://adsabs.harvard.edu/abs/2001A%26A...372..391C}, + adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} +} + +@ARTICLE{2005MNRAS.363..469I, + author = {{Ishak}, M.}, + title = "{Probing decisive answers to dark energy questions from + cosmic complementarity and lensing tomography}", + journal = {\mnras}, + eprint = {arXiv:astro-ph/0501594}, + year = 2005, + month = oct, + volume = 363, + pages = {469-478}, + doi = {10.1111/j.1365-2966.2005.09393.x}, + adsurl = {http://adsabs.harvard.edu/abs/2005MNRAS.363..469I}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2006ApJ...652..857K, + author = {{Knox}, L. and {Song}, Y.-S. and {Zhan}, H.}, + title = "{Weighing the Universe with Photometric Redshift Surveys + and the Impact on Dark Energy Forecasts}", + journal = {\apj}, + eprint = {arXiv:astro-ph/0605536}, + year = 2006, + OPTmonth = dec, + volume = 652, + pages = {857-863}, + doi = {10.1086/508605}, + adsurl = {http://adsabs.harvard.edu/abs/2006ApJ...652..857K}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@Article{HirataHo08, + author = {Hirata, C.~M. and Ho, S. and Padmanabhan, N. and Seljak, U. and Bahcall, N.}, + title = {Correlation of {CMB} with large-scale structure: II. Weak lensing}, + journal = {Submitted to \prd}, + year = {2008}, + OPTkey = {}, + OPTvolume = {}, + OPTnumber = {}, + OPTpages = {}, + OPTmonth = {}, + note = {Also arXiv:0801.0644}, + OPTannote = {} +} + +@ARTICLE{2007PhRvD..76d3510S, + author = {{Smith}, K.~M. and {Zahn}, O. and {Dor{\'e}}, O.}, + title = "{Detection of gravitational lensing in the cosmic microwave background}", + journal = {\prd}, + eprint = {arXiv:0705.3980}, + year = 2007, + month = aug, + volume = 76, + number = 4, + pages = {043510-+}, + doi = {10.1103/PhysRevD.76.043510}, + adsurl = {http://adsabs.harvard.edu/abs/2007PhRvD..76d3510S}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{DETF, + author = {{Albrecht}, A. and {Bernstein}, G. and {Cahn}, R. and + {Freedman}, W.~L. and {Hewitt}, J. and {Hu}, W. and + {Huth}, J. and {Kamionkowski}, M. and {Kolb}, + E.~W. and {Knox}, L. and {Mather}, J.~C. and + {Staggs}, S. and {Suntzeff}, N.~B.}, + title = "{Report of the Dark Energy Task Force}", + OPTjournal = {ArXiv Astrophysics e-prints}, + journal = {arXiv:astro-ph/0609591}, + year = 2006, + month = sep, + adsurl = {http://adsabs.harvard.edu/abs/2006astro.ph..9591A}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@TECHREPORT{ESOFundWG, + author = {{Peacock}, J.~A. and {Schneider}, P. and {Efstathiou}, + G. and {Ellis}, J.~R. and {Leibundgut}, B. and + {Lilly}, S.~J. and {Mellier}, Y. }, + title = "{ESA-ESO Working Group on ''Fundamental Cosmology''}", +booktitle = {ESA-ESO Working Group on ''Fundamental Cosmology'', + Edited by J.A. Peacock et al. ESA, 2006.}, + year = 2006, + editor = {{Peacock}, J.~A. and {Schneider}, P. and {Efstathiou}, + G. and {Ellis}, J.~R. and {Leibundgut}, B. and + {Lilly}, S.~J. and {Mellier}, Y. }, +institution = {ESA}, + month = oct, + adsurl = {http://adsabs.harvard.edu/abs/2006ewg3.rept.....P}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2006A&A...457..841I, + author = {{Ilbert}, O. and {Arnouts}, S. and {McCracken}, H.~J. and {Bolzonella}, M. and + {Bertin}, E. and {Le F{\`e}vre}, O. and {Mellier}, Y. and {Zamorani}, G. and + {Pell{\`o}}, R. and {Iovino}, A. and {Tresse}, L. and {Le Brun}, V. and + {Bottini}, D. and {Garilli}, B. and {Maccagni}, D. and {Picat}, J.~P. and + {Scaramella}, R. and {Scodeggio}, M. and {Vettolani}, G. and + {Zanichelli}, A. and {Adami}, C. and {Bardelli}, S. and {Cappi}, A. and + {Charlot}, S. and {Ciliegi}, P. and {Contini}, T. and {Cucciati}, O. and + {Foucaud}, S. and {Franzetti}, P. and {Gavignaud}, I. and {Guzzo}, L. and + {Marano}, B. and {Marinoni}, C. and {Mazure}, A. and {Meneux}, B. and + {Merighi}, R. and {Paltani}, S. and {Pollo}, A. and {Pozzetti}, L. and + {Radovich}, M. and {Zucca}, E. and {Bondi}, M. and {Bongiorno}, A. and + {Busarello}, G. and {de La Torre}, S. and {Gregorini}, L. and + {Lamareille}, F. and {Mathez}, G. and {Merluzzi}, P. and {Ripepi}, V. and + {Rizzo}, D. and {Vergani}, D.}, + title = "{Accurate photometric redshifts for the CFHT legacy survey calibrated using the VIMOS VLT deep survey}", + journal = {\aap}, + OPTeprint = {arXiv:astro-ph/0603217}, + year = 2006, + month = oct, + volume = 457, + pages = {841-856}, + doi = {10.1051/0004-6361:20065138}, + adsurl = {http://adsabs.harvard.edu/abs/2006A%26A...457..841I}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{WMAP5-Hsinshaw08, + author = {{Hinshaw}, G. and {Weiland}, J.~L. and {Hill}, R.~S. and {Odegard}, N. and + {Larson}, D. and {Bennett}, C.~L. and {Dunkley}, J. and {Gold}, B. and + {Greason}, M.~R. and {Jarosik}, N. and {Komatsu}, E. and {Nolta}, M.~R. and + {Page}, L. and {Spergel}, D.~N. and {Wollack}, E. and {Halpern}, M. and + {Kogut}, A. and {Limon}, M. and {Meyer}, S.~S. and {Tucker}, G.~S.}, + title = "{Five-Year Wilkinson Microwave Anisotropy Probe Observations: Data Processing, Sky Maps, and Basic Results}", + journal = {\apjs}, +archivePrefix = "arXiv", + eprint = {0803.0732}, + keywords = {cosmic microwave background, cosmology: observations, early universe, dark matter, space vehicles, space vehicles: instruments, instrumentation: detectors, telescopes}, + year = 2009, + month = feb, + volume = 180, + pages = {225-245}, + doi = {10.1088/0067-0049/180/2/225}, + adsurl = {http://adsabs.harvard.edu/abs/2009ApJS..180..225H}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{WMAP5-Dunkley08, + author = {{Dunkley}, J. and {Komatsu}, E. and {Nolta}, M.~R. and {Spergel}, D.~N. and + {Larson}, D. and {Hinshaw}, G. and {Page}, L. and {Bennett}, C.~L. and + {Gold}, B. and {Jarosik}, N. and {Weiland}, J.~L. and {Halpern}, M. and + {Hill}, R.~S. and {Kogut}, A. and {Limon}, M. and {Meyer}, S.~S. and + {Tucker}, G.~S. and {Wollack}, E. and {Wright}, E.~L.}, + title = "{Five-Year Wilkinson Microwave Anisotropy Probe Observations: Likelihoods and Parameters from the WMAP Data}", + journal = {\apjs}, +archivePrefix = "arXiv", + OPTeprint = {0803.0586}, + keywords = {cosmic microwave background, cosmology: observations, early universe, polarization }, + year = 2009, + month = feb, + volume = 180, + pages = {306-329}, + doi = {10.1088/0067-0049/180/2/306}, + adsurl = {http://adsabs.harvard.edu/abs/2009ApJS..180..306D}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{WMAP5-Komatsu08, + author = {{Komatsu}, E. and {Dunkley}, J. and {Nolta}, M.~R. and {Bennett}, C.~L. and + {Gold}, B. and {Hinshaw}, G. and {Jarosik}, N. and {Larson}, D. and + {Limon}, M. and {Page}, L. and {Spergel}, D.~N. and {Halpern}, M. and + {Hill}, R.~S. and {Kogut}, A. and {Meyer}, S.~S. and {Tucker}, G.~S. and + {Weiland}, J.~L. and {Wollack}, E. and {Wright}, E.~L.}, + title = "{Five-Year Wilkinson Microwave Anisotropy Probe Observations: Cosmological Interpretation}", + journal = {\apjs}, +archivePrefix = "arXiv", + eprint = {0803.0547}, + keywords = {cosmic microwave background, cosmology: observations, dark matter, early universe, instrumentation: detectors, space vehicles: instruments, telescopes }, + year = 2009, + month = feb, + volume = 180, + pages = {330-376}, + doi = {10.1088/0067-0049/180/2/330}, + adsurl = {http://adsabs.harvard.edu/abs/2009ApJS..180..330K}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{WMAP5-Gold08, + author = {{Gold}, B. and {Bennett}, C.~L. and {Hill}, R.~S. and {Hinshaw}, G. and + {Odegard}, N. and {Page}, L. and {Spergel}, D.~N. and {Weiland}, J.~L. and + {Dunkley}, J. and {Halpern}, M. and {Jarosik}, N. and {Kogut}, A. and + {Komatsu}, E. and {Larson}, D. and {Meyer}, S.~S. and {Nolta}, M.~R. and + {Wollack}, E. and {Wright}, E.~L.}, + title = "{Five-Year Wilkinson Microwave Anisotropy Probe Observations: Galactic Foreground Emission}", + journal = {\apjs}, +archivePrefix = "arXiv", + eprint = {0803.0715}, + keywords = {cosmic microwave background, cosmology: observations, diffuse radiation, Galaxy: halo, Galaxy: structure, ISM: structure }, + year = 2009, + month = feb, + volume = 180, + pages = {265-282}, + doi = {10.1088/0067-0049/180/2/265}, + adsurl = {http://adsabs.harvard.edu/abs/2009ApJS..180..265G}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{WMAP5-Nolta08, + author = {{Nolta}, M.~R. and {Dunkley}, J. and {Hill}, R.~S. and {Hinshaw}, G. and + {Komatsu}, E. and {Larson}, D. and {Page}, L. and {Spergel}, D.~N. and + {Bennett}, C.~L. and {Gold}, B. and {Jarosik}, N. and {Odegard}, N. and + {Weiland}, J.~L. and {Wollack}, E. and {Halpern}, M. and {Kogut}, A. and + {Limon}, M. and {Meyer}, S.~S. and {Tucker}, G.~S. and {Wright}, E.~L. + }, + title = "{Five-Year Wilkinson Microwave Anisotropy Probe Observations: Angular Power Spectra}", + journal = {\apjs}, +archivePrefix = "arXiv", + eprint = {0803.0593}, + keywords = {cosmic microwave background, cosmological parameters, cosmology: observations, early universe, large-scale structure of universe, space vehicles: instruments }, + year = 2009, + month = feb, + volume = 180, + pages = {296-305}, + doi = {10.1088/0067-0049/180/2/296}, + adsurl = {http://adsabs.harvard.edu/abs/2009ApJS..180..296N}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{Efstathiou99, + author = {{Efstathiou}, G. and {Bond}, J.~R.}, + title = "{Cosmic confusion: degeneracies among cosmological parameters derived from measurements of microwave background anisotropies}", + journal = {\mnras}, + OPTeprint = {arXiv:astro-ph/9807103}, + keywords = {COSMIC MICROWAVE BACKGROUND, COSMOLOGY: 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Probe Observations}", + journal = {\apj}, + eprint = {arXiv:astro-ph/0604051}, + keywords = {Cosmology: Theory}, + year = 2006, + month = oct, + volume = 650, + pages = {1-6}, + doi = {10.1086/507091}, + adsurl = {http://adsabs.harvard.edu/abs/2006ApJ...650....1W}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2003ApJ...594..665B, + author = {{Blake}, C. and {Glazebrook}, K.}, + title = "{Probing Dark Energy Using Baryonic Oscillations in the Galaxy Power Spectrum as a Cosmological Ruler}", + journal = {\apj}, + eprint = {arXiv:astro-ph/0301632}, + keywords = {Cosmology: Cosmological Parameters, Cosmology: Large-Scale Structure of Universe, Surveys}, + year = 2003, + month = sep, + volume = 594, + pages = {665-673}, + doi = {10.1086/376983}, + adsurl = {http://adsabs.harvard.edu/abs/2003ApJ...594..665B}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2003ApJ...598..720S, + author = {{Seo}, H.-J. and {Eisenstein}, D.~J.}, + title = "{Probing Dark Energy with Baryonic Acoustic Oscillations from Future Large Galaxy Redshift Surveys}", + journal = {\apj}, + eprint = {arXiv:astro-ph/0307460}, + keywords = {Cosmology: Cosmological Parameters, Cosmology: Theory, Cosmology: Distance Scale, Cosmology: Large-Scale Structure of Universe, Methods: Statistical}, + year = 2003, + month = dec, + volume = 598, + pages = {720-740}, + doi = {10.1086/379122}, + adsurl = {http://adsabs.harvard.edu/abs/2003ApJ...598..720S}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2003PhRvD..67h3505F, + author = {{Frieman}, J.~A. and {Huterer}, D. and {Linder}, E.~V. and {Turner}, M.~S. + }, + title = "{Probing dark energy with supernovae: Exploiting complementarity with the cosmic microwave background}", + journal = {\prd}, + eprint = {arXiv:astro-ph/0208100}, + year = 2003, + month = apr, + volume = 67, + number = 8, + pages = {083505-+}, + adsurl = {http://adsabs.harvard.edu/abs/2003PhRvD..67h3505F}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{WMAP3-Page07, + author = {{Page}, L. and {Hinshaw}, G. and {Komatsu}, E. and {Nolta}, M.~R. and + {Spergel}, D.~N. and {Bennett}, C.~L. and {Barnes}, C. and {Bean}, R. and + {Dor{\'e}}, O. and {Dunkley}, J. and {Halpern}, M. and {Hill}, R.~S. and + {Jarosik}, N. and {Kogut}, A. and {Limon}, M. and {Meyer}, S.~S. and + {Odegard}, N. and {Peiris}, H.~V. and {Tucker}, G.~S. and {Verde}, L. and + {Weiland}, J.~L. and {Wollack}, E. and {Wright}, E.~L.}, + title = "{Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization Analysis}", + journal = {\apjs}, + OPTeprint = {arXiv:astro-ph/0603450}, + keywords = {Cosmology: Cosmic Microwave Background, Cosmology: Observations, Polarization}, + year = 2007, + month = jun, + volume = 170, + pages = {335-376}, + doi = {10.1086/513699}, + adsurl = {http://adsabs.harvard.edu/abs/2007ApJS..170..335P}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{WMAP3-Hinshaw07, + author = {{Hinshaw}, G. and {Nolta}, M.~R. and {Bennett}, C.~L. and {Bean}, R. and + {Dor{\'e}}, O. and {Greason}, M.~R. and {Halpern}, M. and {Hill}, R.~S. and + {Jarosik}, N. and {Kogut}, A. and {Komatsu}, E. and {Limon}, M. and + {Odegard}, N. and {Meyer}, S.~S. and {Page}, L. and {Peiris}, H.~V. and + {Spergel}, D.~N. and {Tucker}, G.~S. and {Verde}, L. and {Weiland}, J.~L. and + {Wollack}, E. and {Wright}, E.~L.}, + title = "{Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Temperature Analysis}", + journal = {\apjs}, + OPTeprint = {arXiv:astro-ph/0603451}, + keywords = {Cosmology: Cosmic Microwave Background, Cosmology: Observations, Cosmology: Dark Matter, Cosmology: Early Universe, Instrumentation: Detectors, Space Vehicles: Instruments, Telescopes}, + year = 2007, + month = jun, + volume = 170, + pages = {288-334}, + doi = {10.1086/513698}, + adsurl = {http://adsabs.harvard.edu/abs/2007ApJS..170..288H}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2007NJPh....9..446T, + author = {{Takada}, M. and {Bridle}, S.}, + title = "{Probing dark energy with cluster counts and cosmic shear power spectra: including the full covariance}", + journal = {New Journal of Physics}, + eprint = {arXiv:0705.0163}, + year = 2007, + month = dec, + volume = 9, + pages = {446-+}, + doi = {10.1088/1367-2630/9/12/446}, + adsurl = {http://adsabs.harvard.edu/abs/2007NJPh....9..446T}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2008arXiv0808.3400B, + author = {{Bernstein}, G.~M.}, + title = "{Comprehensive Two-Point Analyses of Weak Gravitational Lensing Surveys}", + journal = {\apj}, +archivePrefix = "arXiv", + eprint = {0808.3400}, + keywords = {gravitational lensing, cosmological parameters, relativity}, + year = 2009, + month = apr, + volume = 695, + pages = {652-665}, + doi = {10.1088/0004-637X/695/1/652}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2009ApJ...695..652B}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2006MNRAS.366..101H, + author = {{Huterer}, D. and {Takada}, M. and {Bernstein}, G. and {Jain}, B. + }, + title = "{Systematic errors in future weak-lensing surveys: requirements and prospects for self-calibration}", + journal = {\mnras}, + eprint = {arXiv:astro-ph/0506030}, + keywords = {cosmological parameters, large-scale structure of Universe}, + year = 2006, + month = feb, + volume = 366, + pages = {101-114}, + doi = {10.1111/j.1365-2966.2005.09782.x}, + adsurl = {http://ads.ari.uni-heidelberg.de/abs/2006MNRAS.366..101H}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2008PhRvD..77d3507Z, + author = {{Zentner}, A.~R. and {Rudd}, D.~H. and {Hu}, W.}, + title = "{Self-calibration of tomographic weak lensing for the physics of baryons to constrain dark energy}", + journal = {\prd}, + eprint = {arXiv:0709.4029}, + year = 2008, + month = feb, + volume = 77, + number = 4, + pages = {043507-+}, + doi = {10.1103/PhysRevD.77.043507}, + adsurl = {http://ads.ari.uni-heidelberg.de/abs/2008PhRvD..77d3507Z}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2007NJPh....9..444B, + author = {{Bridle}, S. and {King}, L.}, + title = "{Dark energy constraints from cosmic shear power spectra: impact of intrinsic alignments on photometric redshift requirements}", + journal = {New Journal of Physics}, + eprint = {arXiv:0705.0166}, + year = 2007, + month = dec, + volume = 9, + pages = {444-+}, + doi = {10.1088/1367-2630/9/12/444}, + adsurl = {http://ads.ari.uni-heidelberg.de/abs/2007NJPh....9..444B}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2008AA...488..829J, + author = {{Joachimi}, B. and {Schneider}, P.}, + title = "{The removal of shear-ellipticity correlations from the cosmic shear signal via nulling techniques}", + journal = {\aap}, +archivePrefix = "arXiv", + eprint = {0804.2292}, + keywords = {cosmology: theory, gravitational lensing, cosmology: large-scale structure of Universe, cosmology: cosmological parameters, methods: data analysis}, + year = 2008, + month = sep, + volume = 488, + pages = {829-843}, + doi = {10.1051/0004-6361:200809971}, + adsurl = {http://adsabs.harvard.edu/abs/2008A%26A...488..829J}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{taburet-2008, + author = {{Taburet}, N. and {Aghanim}, N. and {Douspis}, M. and {Langer}, M. + }, + title = "{Biases on the cosmological parameters and thermal Sunyaev-Zel'dovich residuals}", + journal = {\mnras}, +archivePrefix = "arXiv", + eprint = {0809.1364}, + keywords = {methods: statistical , galaxies: clusters: general , cosmic microwave background , cosmological parameters , cosmology: theory}, + year = 2009, + month = jan, + volume = 392, + pages = {1153-1158}, + doi = {10.1111/j.1365-2966.2008.14105.x}, + adsurl = {http://adsabs.harvard.edu/abs/2009MNRAS.392.1153T}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2005MNRAS.358..101M, + author = {{M{\'e}nard}, B. and {Dalal}, N.}, + title = "{Revisiting the magnification of type Ia supernovae with SDSS}", + journal = {\mnras}, + eprint = {arXiv:astro-ph/0407023}, + year = 2005, + month = mar, + volume = 358, + pages = {101-104}, + doi = {10.1111/j.1365-2966.2005.08764.x}, + adsurl = {http://adsabs.harvard.edu/abs/2005MNRAS.358..101M}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2008ApJ...673..657M, + author = {{Martel}, H. and {Premadi}, P.}, + title = "{Light Propagation in Inhomogeneous Universes. V. Gravitational Lensing of Distant Supernovae}", + journal = {\apj}, + eprint = {arXiv:0710.5452}, + keywords = {Cosmology: Theory, Cosmology: Gravitational Lensing, Cosmology: Large-Scale Structure of Universe, Stars: Supernovae: General}, + year = 2008, + month = feb, + volume = 673, + pages = {657-663}, + doi = {10.1086/524978}, + adsurl = {http://adsabs.harvard.edu/abs/2008ApJ...673..657M}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@PhdThesis{FuPhD, + author = {Fu, Liping}, + title = {Very weak lensing in the {CFHTLS Wide}: Cosmology from cosmic + shear in the linear r\'egime}, + school = {Universit\'e Pierre et Marie Curie (Paris VI)}, + year = {2008}, + OPTkey = {}, + OPTtype = {}, + OPTaddress = {}, + OPTmonth = {}, + OPTnote = {}, + OPTannote = {} +} + +@ARTICLE{2008arXiv0807.1108R, + author = {{Rubin}, D. and {Linder}, E.~V. and {Kowalski}, M. and {Aldering}, G. and + {Amanullah}, R. and {Barbary}, K. and {Connolly}, N.~V. and + {Dawson}, K.~S. and {Faccioli}, L. and {Fadeyev}, V. and {Goldhaber}, G. and + {Goobar}, A. and {Hook}, I. and {Lidman}, C. and {Meyers}, J. and + {Nobili}, S. and {Nugent}, P.~E. and {Pain}, R. and {Perlmutter}, S. and + {Ruiz-Lapuente}, P. and {Spadafora}, A.~L. and {Strovink}, M. and + {Suzuki}, N. and {Swift}, H.}, + title = "{Looking Beyond Lambda with the Union Supernova Compilation}", + journal = {ArXiv e-prints}, +archivePrefix = "arXiv", + eprint = {0807.1108}, + keywords = {Astrophysics}, + year = 2008, + month = jul, + adsurl = {http://adsabs.harvard.edu/abs/2008arXiv0807.1108R}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{STEP2, + author = {{Massey}, R. and {Heymans}, C. and {Berg{\'e}}, J. and {Bernstein}, G. and + {Bridle}, S. and {Clowe}, D. and {Dahle}, H. and {Ellis}, R. and + {Erben}, T. and {Hetterscheidt}, M. and {High}, F.~W. and {Hirata}, C. and + {Hoekstra}, H. and {Hudelot}, P. and {Jarvis}, M. and {Johnston}, D. and + {Kuijken}, K. and {Margoniner}, V. and {Mandelbaum}, R. and + {Mellier}, Y. and {Nakajima}, R. and {Paulin-Henriksson}, S. and + {Peeples}, M. and {Roat}, C. and {Refregier}, A. and {Rhodes}, J. and + {Schrabback}, T. and {Schirmer}, M. and {Seljak}, U. and {Semboloni}, E. and + {Van~Waerbeke}, L.}, + title = "{The Shear Testing Programme 2: Factors affecting high-precision weak-lensing analyses}", + journal = {\mnras}, + eprint = {arXiv:astro-ph/0608643}, + keywords = {gravitational lensing , methods: data analysis , cosmology: observations}, + year = 2007, + month = mar, + volume = 376, + pages = {13-38}, + doi = {10.1111/j.1365-2966.2006.11315.x}, + adsurl = {http://adsabs.harvard.edu/abs/2007MNRAS.376...13M}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{Rudjord:2008p4864, + author = {{Rudjord}, {\O}. and {Groeneboom}, N.~E. and {Eriksen}, H.~K. and + {Huey}, G. and {G{\'o}rski}, K.~M. and {Jewell}, J.~B.}, + title = "{Cosmic Microwave Background Likelihood Approximation by a Gaussianized Blackwell-Rao Estimator}", + journal = {\apj}, +archivePrefix = "arXiv", + eprint = {0809.4624}, + keywords = {cosmic microwave background, cosmology: observations, methods: statistical }, + year = 2009, + OPTmonth = feb, + volume = 692, + pages = {1669-1677}, + doi = {10.1088/0004-637X/692/2/1669}, + adsurl = {http://adsabs.harvard.edu/abs/2009ApJ...692.1669R}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{Taylor:2007p3316, + author = {{Taylor}, J.~F. and {Ashdown}, M.~A.~J. and {Hobson}, M.~P.}, + title = "{Fast optimal CMB power spectrum estimation with Hamiltonian sampling}", + journal = {\mnras}, +archivePrefix = "arXiv", + OPEeprint = {0708.2989}, + keywords = {methods: data analysis , methods: statistical , cosmic microwave background}, + year = 2008, + month = sep, + volume = 389, + pages = {1284-1292}, + doi = {10.1111/j.1365-2966.2008.13630.x}, + adsurl = {http://adsabs.harvard.edu/abs/2008MNRAS.389.1284T}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@article{Auld:2007p4956, +author = {T Auld and M Bridges and M. P Hobson and S. F Gull}, +journal = {\mnras}, +title = {Fast cosmological parameter estimation using neural networks}, +abstract = {We present a method for accelerating the calculation of cosmic microwave background (CMB) power spectra, matter power spectra and likelihood functions for use in cosmological parameter estimation. The algorithm, called COSMONET, is based on training a multilayer perceptron neural network and shares all the advantages of the recently released PICO algorithm of Fendt {\&} Wandelt, but has several additional benefits in terms of simplicity, computational speed, memory requirements and ease of training. We demonstrate the capabilities of COSMONET by computing CMB power spectra over a box in the parameter space of flat Λ cold dark matter (ΛCDM) models containing the 3σ WMAP1-year confidence region. We also use COSMONET to compute the WMAP3-year (WMAP3) likelihood for flat ΛCDM models and show that marginalized posteriors on parameters derived are very similar to those obtained using CAMB and the WMAP3 code. We find that the average error in the power spectra is typically 2-3 per cent of cosmic variance, and that COSMONET is ~7 × 104 faster than CAMB (for flat models) and ~6 × 106 times faster than the official WMAP3 likelihood code. COSMONET and an interface to COSMOMC are publically available at http://www.mrao.cam.ac.uk/software/cosmonet.}, +affiliation = {AA(Astrophysics Group, Cavendish Laboratory, Magingley Road, Cambridge CB3 0HE; ), AB(Astrophysics Group, Cavendish Laboratory, Magingley Road, Cambridge CB3 0HE; ), AC(Astrophysics Group, Cavendish Laboratory, Magingley Road, Cambridge CB3 0HE; ), AD(Astrophysics Group, Cavendish Laboratory, Magingley Road, Cambridge CB3 0HE; )}, +annote = {(c) 2007 The Authors. Journal compilation {\copyright} 2007 RAS}, +pages = {L11}, +volume = {376}, +year = {2007}, +month = {Mar}, +keywords = {cosmology: cosmic microwave background, methods: data analysis, methods: statistical}, +date-added = {2008-10-15 14:55:10 +0200}, +date-modified = {2008-10-15 14:55:10 +0200}, +doi = {10.1111/j.1745-3933.2006.00276.x}, +pmid = {2007MNRAS.376L..11A}, +OPTURL = {http://adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007MNRAS.376L..11A&link_type=ABSTRACT}, +local-url = {file://localhost/Users/benabed/Documents/Papers/2007/Auld/Monthly%20Notices%20of%20the%20Royal%20Astronomical%20Society%20Letters%202007%20Auld.pdf}, +uri = {papers://B4FCA9D6-ECE1-4240-BF22-3D312FA93E5B/Paper/p4956}, +rating = {0} +} + +@ARTICLE{Fendt:2007p4993, + author = {{Fendt}, W.~A. and {Wandelt}, B.~D.}, + title = "{Computing High Accuracy Power Spectra with Pico}", + journal = {submitted to \apj}, +archivePrefix = "arXiv", + OPTeprint = {0712.0194}, + note = {also arXiv:0712.0194}, + keywords = {Astrophysics}, + year = 2007, + month = dec, + adsurl = {http://adsabs.harvard.edu/abs/2007arXiv0712.0194F}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@article{CGMR03, + author = {Capp\'e, O. and Guillin, A. and Marin, J.-M. and Robert, + C.P.}, + title = {Population {M}onte {C}arlo}, + journal = {J.~Comput.~Graph.~Statist.}, + year = 2004, + volume = {13}, + number = {4}, + pages = {907-929}, +} + +@ARTICLE{2006APh....26...91V, + author = {{Van~Waerbeke}, L. and {White}, M. and {Hoekstra}, H. and {Heymans}, C. + }, + title = "{Redshift and shear calibration: Impact on cosmic shear studies and survey design}", + journal = {Astroparticle Physics}, + eprint = {arXiv:astro-ph/0603696}, + year = 2006, + month = sep, + volume = 26, + pages = {91-101}, + doi = {10.1016/j.astropartphys.2006.05.008}, + adsurl = {http://adsabs.harvard.edu/abs/2006APh....26...91V}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2008arXiv0808.2840F, + author = {{Francis}, M.~J. and {Lewis}, G.~F. and {Linder}, E.~V.}, + title = "{Can early dark energy be detected in non-linear structure?}", + journal = {\mnras}, +archivePrefix = "arXiv", + eprint = {0808.2840}, + keywords = {methods: N-body simulations , methods: numerical , dark matter , large-scale structure of Universe}, + year = 2009, + month = apr, + volume = 394, + pages = {605-614}, + doi = {10.1111/j.1365-2966.2008.14286.x}, + adsurl = {http://adsabs.harvard.edu/abs/2009MNRAS.394..605F}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2005PASJ...57..779Y, + author = {{Yahagi}, H.}, + title = "{Vectorization and Parallelization of the Adaptive Mesh Refinement N-Body Code}", + journal = {\pasj}, + eprint = {arXiv:astro-ph/0507339}, + keywords = {cosmology: large-scale structure of universe, methods: n-body simulations}, + year = 2005, + month = oct, + volume = 57, + pages = {779-798}, + adsurl = {http://adsabs.harvard.edu/abs/2005PASJ...57..779Y}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2007ApJ...665..887M, + author = {{Ma}, Z.}, + title = "{The Nonlinear Matter Power Spectrum}", + journal = {\apj}, + OPTeprint = {arXiv:astro-ph/0610213}, + keywords = {Cosmology: Large-Scale Structure of Universe}, + year = 2007, + month = aug, + volume = 665, + pages = {887-898}, + doi = {10.1086/519440}, + adsurl = {http://adsabs.harvard.edu/abs/2007ApJ...665..887M}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2010A&A...510A...7E, + author = {{Eifler}, T. and {Schneider}, P. and {Krause}, E.}, + title = "{Measuring cosmic shear with the ring statistics}", + journal = {\aap}, +archivePrefix = "arXiv", + eprint = {0907.2320}, + primaryClass = "astro-ph.CO", + keywords = {gravitational lensing: weak, large-scale structure of Universe, methods: data analysis}, + year = 2010, + month = jan, + volume = 510, + eid = {A7}, + pages = {A7}, + doi = {10.1051/0004-6361/200912888}, + adsurl = {http://adsabs.harvard.edu/abs/2010A%26A...510A...7E}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2005AA...429..383T, + author = {{Tereno}, I. and {Dor{\'e}}, O. and {Van~Waerbeke}, L. and {Mellier}, Y. + }, + title = "{Joint cosmological parameters forecast from CFHTLS-cosmic shear and CMB data}", + journal = {\aap}, + eprint = {arXiv:astro-ph/0404317}, + keywords = {cosmological parameters, large-scale structure of Universe, gravitational lensing}, + year = 2005, + month = jan, + volume = 429, + pages = {383-398}, + doi = {10.1051/0004-6361:20041099}, + adsurl = {http://adsabs.harvard.edu/abs/2005A%26A...429..383T}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2007A&A...462..875S, + author = {{Schirmer}, M. and {Erben}, T. and {Hetterscheidt}, M. and {Schneider}, P. + }, + title = "{GaBoDS: the Garching-Bonn Deep Survey. 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adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2004ApJ...617..746D, + author = {{Daddi}, E. and {Cimatti}, A. and {Renzini}, A. and {Fontana}, A. and + {Mignoli}, M. and {Pozzetti}, L. and {Tozzi}, P. and {Zamorani}, G. + }, + title = "{A New Photometric Technique for the Joint Selection of Star-forming and Passive Galaxies at 1.4 {\lt}\~{} z {\lt}\~{} 2.5}", + journal = {\apj}, + eprint = {arXiv:astro-ph/0409041}, + keywords = {Cosmology: Observations, Galaxies: Evolution, Galaxies: Formation, Galaxies: High-Redshift, Galaxies: Starburst}, + year = 2004, + month = dec, + volume = 617, + pages = {746-764}, + doi = {10.1086/425569}, + adsurl = {http://adsabs.harvard.edu/abs/2004ApJ...617..746D}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2009ApJ...690.1236I, + author = {{Ilbert}, O. and {Capak}, P. and {Salvato}, M. and {Aussel}, H. and + {McCracken}, H.~J. and {Sanders}, D.~B. and {Scoville}, N. and + {Kartaltepe}, J. 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{10.1111/j.1365-2966.2009.15948.x}, + adsurl = {http://adsabs.harvard.edu/abs/2010MNRAS.402.1049D}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2005ApJ...631...41T, + author = {{Tinker}, J.~L. and {Weinberg}, D.~H. and {Zheng}, Z. and {Zehavi}, I. + }, + title = "{On the Mass-to-Light Ratio of Large-Scale Structure}", + journal = {\apj}, + eprint = {arXiv:astro-ph/0411777}, + keywords = {Cosmology: Observations, Cosmology: Theory, Galaxies: Clusters: General, Cosmology: Large-Scale Structure of Universe}, + year = 2005, + month = sep, + volume = 631, + pages = {41-58}, + doi = {10.1086/432084}, + adsurl = {http://adsabs.harvard.edu/abs/2005ApJ...631...41T}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2010MNRAS.401.2148P, + author = {{Percival}, W.~J. and {Reid}, B.~A. and {Eisenstein}, D.~J. and + {Bahcall}, N.~A. and {Budavari}, T. and {Frieman}, J.~A. and + {Fukugita}, M. and {Gunn}, J.~E. and {Ivezi{\'c}}, {\v Z}. 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Unbiased estimation of the inverse covariance matrix}", + journal = {\aap}, + eprint = {arXiv:astro-ph/0608064}, + keywords = {methods: analytical, methods: data analysis, gravitational lensing}, + year = 2007, + month = mar, + volume = 464, + pages = {399-404}, + doi = {10.1051/0004-6361:20066170}, + adsurl = {http://adsabs.harvard.edu/abs/2007A%26A...464..399H}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2010A&A...523A..28K, + author = {{Krause}, E. and {Hirata}, C.~M.}, + title = "{Weak lensing power spectra for precision cosmology. Multiple-deflection, reduced shear, and lensing bias corrections}", + journal = {\aap}, +archivePrefix = "arXiv", + eprint = {0910.3786}, + primaryClass = "astro-ph.CO", + keywords = {cosmology: theory, gravitational lensing: weak, large-scale structure of the Universe, methods: analytical}, + year = 2010, + month = nov, + volume = 523, + eid = {A28}, + pages = {A28}, + doi = {10.1051/0004-6361/200913524}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2010A%26A...523A..28K}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@INPROCEEDINGS{1993LIACo..31..579S, + author = {{Seitz}, S.}, + title = "{The generalized magnification theorem}", +booktitle = {Liege International Astrophysical Colloquia}, + year = 1993, + series = {Liege International Astrophysical Colloquia}, + volume = 31, + editor = "{J.~Surdej, D.~Fraipont-Caro, E.~Gosset, S.~Refsdal, \& M.~Remy + }", + Pages = {579}, + adsurl = {http://adsabs.harvard.edu/abs/1993LIACo..31..579S}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2009ApJ...702..593S, + author = {{Schmidt}, F. and {Rozo}, E. and {Dodelson}, S. and {Hui}, L. and + {Sheldon}, E.}, + title = "{Lensing Bias in Cosmic Shear}", + journal = {\apj}, +archivePrefix = "arXiv", + eprint = {0904.4703}, + keywords = {cosmology: theory, dark matter, gravitational lensing, large-scale structure of universe}, + year = 2009, + month = sep, + volume = 702, + pages = {593-602}, + doi = {10.1088/0004-637X/702/1/593}, + adsurl = {http://adsabs.harvard.edu/abs/2009ApJ...702..593S}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2005PhRvD..72h3001D, + author = {{Dodelson}, S. and {Zhang}, P.}, + title = "{Weak lensing bispectrum}", + journal = {\prd}, + eprint = {astro-ph/0501063}, + keywords = {Gravitational lenses and luminous arcs}, + year = 2005, + month = oct, + volume = 72, + number = 8, + eid = {083001}, + pages = {083001}, + doi = {10.1103/PhysRevD.72.083001}, + adsurl = {http://adsabs.harvard.edu/abs/2005PhRvD..72h3001D}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2010arXiv1001.0061R, + author = {{Refregier}, A. and {Amara}, A. and {Kitching}, T.~D. and {Rassat}, A. and + {Scaramella}, R. and {Weller}, J. and {Euclid Imaging Consortium}, f.~t. + }, + title = "{Euclid Imaging Consortium Science Book}", + journal = {ArXiv e-prints}, +archivePrefix = "arXiv", + eprint = {1001.0061}, + keywords = {Astrophysics - Instrumentation and Methods for Astrophysics, Astrophysics - Cosmology and Extragalactic Astrophysics}, + year = 2010, + month = jan, + adsurl = {http://adsabs.harvard.edu/abs/2010arXiv1001.0061R}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2009ApJ...696..775S, + author = {{Shapiro}, C.}, + title = "{Biased Dark Energy Constraints from Neglecting Reduced Shear in Weak-Lensing Surveys}", + journal = {\apj}, +archivePrefix = "arXiv", + eprint = {0812.0769}, + keywords = {cosmological parameters, cosmology: theory, gravitational lensing, large-scale structure of universe}, + year = 2009, + month = may, + volume = 696, + pages = {775-784}, + doi = {10.1088/0004-637X/696/1/775}, + adsurl = {http://adsabs.harvard.edu/abs/2009ApJ...696..775S}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2009A&A...499...31H, + author = {{Hilbert}, S. and {Hartlap}, J. and {White}, S.~D.~M. and {Schneider}, P. + }, + title = "{Ray-tracing through the Millennium Simulation: Born corrections and lens-lens coupling in cosmic shear and galaxy-galaxy lensing}", + journal = {\aap}, +archivePrefix = "arXiv", + eprint = {0809.5035}, + keywords = {gravitational lensing, dark matter, large-scale structure of Universe, cosmology: theory, methods: numerical}, + year = 2009, + month = may, + volume = 499, + pages = {31-43}, + doi = {10.1051/0004-6361/200811054}, + adsurl = {http://adsabs.harvard.edu/abs/2009A%26A...499...31H}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{CoyoteI, + author = {{Heitmann}, K. and {White}, M. and {Wagner}, C. and {Habib}, S. and + {Higdon}, D.}, + title = "{The Coyote Universe. I. Precision Determination of the Nonlinear Matter Power Spectrum}", + journal = {\apj}, +archivePrefix = "arXiv", + eprint = {0812.1052}, + keywords = {large-scale structure of universe, methods: numerical}, + year = 2010, + OPTmonth = may, + volume = 715, + pages = {104-121}, + doi = {10.1088/0004-637X/715/1/104}, + adsurl = {http://adsabs.harvard.edu/abs/2010ApJ...715..104H}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{CoyoteII, + author = {{Heitmann}, K. and {Higdon}, D. and {White}, M. and {Habib}, S. and + {Williams}, B.~J. and {Lawrence}, E. and {Wagner}, C.}, + title = "{The Coyote Universe. II. Cosmological Models and Precision Emulation of the Nonlinear Matter Power Spectrum}", + journal = {\apj}, +archivePrefix = "arXiv", + eprint = {0902.0429}, + keywords = {large-scale structure of universe, methods: statistical}, + year = 2009, + month = nov, + volume = 705, + pages = {156-174}, + doi = {10.1088/0004-637X/705/1/156}, + adsurl = {http://adsabs.harvard.edu/abs/2009ApJ...705..156H}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{CoyoteIII, + author = {{Lawrence}, E. and {Heitmann}, K. and {White}, M. and {Higdon}, D. and + {Wagner}, C. and {Habib}, S. and {Williams}, B.}, + title = "{The Coyote Universe. III. Simulation Suite and Precision Emulator for the Nonlinear Matter Power Spectrum}", + journal = {\apj}, +archivePrefix = "arXiv", + eprint = {0912.4490}, + keywords = {large-scale structure of universe, methods: numerical, methods: statistical }, + year = 2010, + month = apr, + volume = 713, + pages = {1322-1331}, + doi = {10.1088/0004-637X/713/2/1322}, + adsurl = {http://adsabs.harvard.edu/abs/2010ApJ...713.1322L}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2010arXiv1001.4538K, + author = {{Komatsu}, E. and {Smith}, K.~M. and {Dunkley}, J. and {Bennett}, C.~L. and + {Gold}, B. and {Hinshaw}, G. and {Jarosik}, N. and {Larson}, D. and + {Nolta}, M.~R. and {Page}, L. and {Spergel}, D.~N. and {Halpern}, M. and + {Hill}, R.~S. and {Kogut}, A. and {Limon}, M. and {Meyer}, S.~S. and + {Odegard}, N. and {Tucker}, G.~S. and {Weiland}, J.~L. and {Wollack}, E. and + {Wright}, E.~L.}, + title = "{Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation}", + journal = {\apjs}, +archivePrefix = "arXiv", + eprint = {1001.4538}, + primaryClass = "astro-ph.CO", + keywords = {cosmic background radiation, cosmology: observations, dark matter, early universe, space vehicles}, + year = 2011, + month = feb, + volume = 192, + eid = {18}, + pages = {18}, + doi = {10.1088/0067-0049/192/2/18}, + adsurl = {http://adsabs.harvard.edu/abs/2011ApJS..192...18K}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2009PhRvL.103e1301S, + author = {{Schmidt}, F. and {Rozo}, E. and {Dodelson}, S. and {Hui}, L. and + {Sheldon}, E.}, + title = "{Size Bias in Galaxy Surveys}", + journal = {Physical Review Letters}, +archivePrefix = "arXiv", + eprint = {0904.4702}, + keywords = {Astronomical catalogs, atlases, sky surveys, databases, retrieval systems, archives, etc., Dark energy, Gravitational lenses and luminous arcs, Statistical and correlative studies of properties}, + year = 2009, + month 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+archivePrefix = "arXiv", + eprint = {0810.1285}, + keywords = {Astrophysics}, + year = 2008, + OPTmonth = oct, + adsurl = {http://adsabs.harvard.edu/abs/2008arXiv0810.1285R}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2003AA...403..817M, + author = {{M{\'e}nard}, B. and {Hamana}, T. and {Bartelmann}, M. and {Yoshida}, N. + }, + title = "{Improving the accuracy of cosmic magnification statistics}", + journal = {\aap}, + eprint = {arXiv:astro-ph/0210112}, + keywords = {cosmology: gravitational lensing, cosmology: large-scale structure of Universe}, + year = 2003, + month = jun, + volume = 403, + pages = {817-828}, + doi = {10.1051/0004-6361:20030406}, + adsurl = {http://adsabs.harvard.edu/abs/2003A%26A...403..817M}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2002MNRAS.336.1256K, + author = {{Komatsu}, E. and {Seljak}, U.}, + title = "{The Sunyaev-Zel'dovich angular power spectrum as a probe of cosmological parameters}", + journal = {\mnras}, + eprint = {arXiv:astro-ph/0205468}, + keywords = {galaxies: clusters: general, galaxies: haloes, cosmic microwave background, cosmological parameters, cosmology: theory, dark matter}, + year = 2002, + month = nov, + volume = 336, + pages = {1256-1270}, + doi = {10.1046/j.1365-8711.2002.05889.x}, + adsurl = {http://adsabs.harvard.edu/abs/2002MNRAS.336.1256K}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2010MNRAS.404..350R, + author = {{Rowe}, B.}, + title = "{Improving PSF modelling for weak gravitational lensing using new methods in model selection}", + journal = {\mnras}, +archivePrefix = "arXiv", + eprint = {0904.3056}, + primaryClass = "astro-ph.CO", + keywords = {gravitational lensing, methods: data analysis, methods: statistical, cosmology: observations, large-scale structure of Universe}, + year = 2010, + OPTmonth = may, + volume = 404, + pages = {350-366}, + doi = {10.1111/j.1365-2966.2010.16277.x}, + adsurl 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theorem}", + journal = {\mnras}, +archivePrefix = "arXiv", + eprint = {0711.3129}, + keywords = {methods: analytical , methods: numerical , cosmological parameters , cosmology: theory}, + year = 2008, + month = mar, + volume = 385, + pages = {411-422}, + doi = {10.1111/j.1365-2966.2008.12841.x}, + adsurl = {http://adsabs.harvard.edu/abs/2008MNRAS.385..411S}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2010ApJ...709..286M, + author = {{Marian}, L. and {Smith}, R.~E. and {Bernstein}, G.~M.}, + title = "{The Impact of Correlated Projections on Weak Lensing Cluster Counts}", + journal = {\apj}, +archivePrefix = "arXiv", + eprint = {0912.0261}, + primaryClass = "astro-ph.CO", + keywords = {cosmological parameters, cosmology: theory, large-scale structure of universe}, + year = 2010, + month = jan, + volume = 709, + pages = {286-300}, + doi = {10.1088/0004-637X/709/1/286}, + adsurl = {http://adsabs.harvard.edu/abs/2010ApJ...709..286M}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2010Natur.464..256R, + author = {{Reyes}, R. and {Mandelbaum}, R. and {Seljak}, U. and {Baldauf}, T. and + {Gunn}, J.~E. and {Lombriser}, L. and {Smith}, R.~E.}, + title = "{Confirmation of general relativity on large scales from weak lensing and galaxy velocities}", + journal = {\nat}, +archivePrefix = "arXiv", + eprint = {1003.2185}, + primaryClass = "astro-ph.CO", + year = 2010, + OPTmonth = mar, + volume = 464, + pages = {256-258}, + doi = {10.1038/nature08857}, + adsurl = {http://adsabs.harvard.edu/abs/2010Natur.464..256R}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2010PhRvD..82j3523D, + author = {{Daniel}, S.~F. and {Linder}, E.~V.}, + title = "{Confronting general relativity with further cosmological data}", + journal = {\prd}, +archivePrefix = "arXiv", + eprint = {1008.0397}, + primaryClass = "astro-ph.CO", + keywords = {Observational cosmology, Modified theories of gravity, Superclusters; large-scale structure of the Universe}, + year = 2010, + month = nov, + volume = 82, + number = 10, + pages = {103523-+}, + doi = {10.1103/PhysRevD.82.103523}, + adsurl = {http://adsabs.harvard.edu/abs/2010PhRvD..82j3523D}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2010arXiv1011.2106S, + author = {{Song}, Y.-S. and {Zhao}, G.-B. and {Bacon}, D. and {Koyama}, K. and + {Nichol}, R.~C. and {Pogosian}, L.}, + title = "{Complementarity of weak lensing and peculiar velocity measurements in testing general relativity}", + journal = {\prd}, +archivePrefix = "arXiv", + eprint = {1011.2106}, + primaryClass = "astro-ph.CO", + keywords = {Gravitational lenses and luminous arcs, Modified theories of gravity, Experimental tests of gravitational theories}, + year = 2011, + month = oct, + volume = 84, + number = 8, + eid = {083523}, + pages = {083523}, + doi = {10.1103/PhysRevD.84.083523}, + adsurl = 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statistics}", + journal = {\aap}, +archivePrefix = "arXiv", + eprint = {1105.2309}, + primaryClass = "astro-ph.CO", + keywords = {gravitational lensing: weak, large-scale structure of Universe, methods: analytical, cosmology: theory}, + year = 2011, + month = sep, + volume = 533, + eid = {A48}, + pages = {A48}, + doi = {10.1051/0004-6361/201117236}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2011A%26A...533A..48S}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2012MNRAS.423.3011K, + author = {{Krause}, E. and {Schneider}, P. and {Eifler}, T.}, + title = "{A new third-order cosmic shear statistic: separating E-/B-mode correlations on a finite interval}", + journal = {\mnras}, +archivePrefix = "arXiv", + eprint = {1201.4752}, + primaryClass = "astro-ph.CO", + keywords = {cosmology: theory, large-scale structure of Universe}, + year = 2012, + month = jul, + volume = 423, + pages = {3011-3017}, + doi = {10.1111/j.1365-2966.2012.20995.x}, + adsurl = 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journal = {ArXiv e-prints}, +archivePrefix = "arXiv", + eprint = {1201.2434}, + primaryClass = "astro-ph.CO", + keywords = {Astrophysics - Cosmology and Extragalactic Astrophysics}, + year = 2012, + month = jan, + adsurl = {http://cdsads.u-strasbg.fr/abs/2012arXiv1201.2434W}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2011ApJS..192...16L, + author = {{Larson}, D. and {Dunkley}, J. and {Hinshaw}, G. and {Komatsu}, E. and + {Nolta}, M.~R. and {Bennett}, C.~L. and {Gold}, B. and {Halpern}, M. and + {Hill}, R.~S. and {Jarosik}, N. and {Kogut}, A. and {Limon}, M. and + {Meyer}, S.~S. and {Odegard}, N. and {Page}, L. and {Smith}, K.~M. and + {Spergel}, D.~N. and {Tucker}, G.~S. and {Weiland}, J.~L. and + {Wollack}, E. and {Wright}, E.~L.}, + title = "{Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Power Spectra and WMAP-derived Parameters}", + journal = {\apjs}, +archivePrefix = "arXiv", + eprint = {1001.4635}, + primaryClass = 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Cosmology and Nongalactic Astrophysics}, + year = 2014, + month = nov, + adsurl = {http://adsabs.harvard.edu/abs/2014arXiv1411.5688D}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2014arXiv1412.3683L, + author = {{Liu}, X. and {Pan}, C. and {Li}, R. and {Shan}, H. and {Wang}, Q. and + {Fu}, L. and {Fan}, Z. and {Kneib}, J.-P. and {Leauthaud}, A. and + {Van Waerbeke}, L. and {Makler}, M. and {Moraes}, B. and {Erben}, T. and + {Charbonnier}, A.}, + title = "{Cosmological constraints from weak lensing peak statistics with Canada-France-Hawaii Telescope Stripe 82 Survey}", + journal = {\mnras}, +archivePrefix = "arXiv", + eprint = {1412.3683}, + keywords = {gravitational lensing: weak, dark matter, large-scale structure of Universe}, + year = 2015, + OPTmonth = jul, + volume = 450, + pages = {2888-2902}, + doi = {10.1093/mnras/stv784}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2015MNRAS.450.2888L}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2015arXiv150201589P, + author = {{Planck Collaboration} and {Ade}, P.~A.~R. and {Aghanim}, N. and + {Arnaud}, M. and {Ashdown}, M. and {Aumont}, J. and {Baccigalupi}, C. and + {Banday}, A.~J. and {Barreiro}, R.~B. and {Bartlett}, J.~G. and et al.}, + title = "{Planck 2015 results. 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Cluster Survey: testing chameleon gravity using the profiles of clusters}", + journal = {\mnras}, +archivePrefix = "arXiv", + eprint = {1504.03937}, + keywords = {gravitation, gravitational lensing: weak, X-rays: galaxies: clusters}, + year = 2015, + month = sep, + volume = 452, + pages = {1171-1183}, + doi = {10.1093/mnras/stv1366}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2015MNRAS.452.1171W}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2015MNRAS.451.4424K, + author = {{Kirk}, D. and {Lahav}, O. and {Bridle}, S. and {Jouvel}, S. and + {Abdalla}, F.~B. and {Frieman}, J.~A.}, + title = "{Optimizing spectroscopic and photometric galaxy surveys: same-sky benefits for dark energy and modified gravity}", + journal = {\mnras}, + keywords = {cosmological parameters, cosmology: observations, dark energy, large-scale structure of Universe}, + year = 2015, + month = aug, + volume = 451, + pages = {4424-4444}, + doi = {10.1093/mnras/stv1268}, + adsurl = 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{Blake}, C. and {Choi}, A. and {Erben}, T. and {Heymans}, C. and + {van Waerbeke}, L. and {Viola}, M. and {Harnois-Deraps}, J. and + {Koens}, L. and {Nakajima}, R.}, + title = "{RCSLenS: A new estimator for large-scale galaxy-matter correlations}", + journal = {ArXiv e-prints}, +archivePrefix = "arXiv", + eprint = {1512.03625}, + keywords = {Astrophysics - Cosmology and Nongalactic Astrophysics}, + year = 2015, + month = dec, + adsurl = {http://cdsads.u-strasbg.fr/abs/2015arXiv151203625B}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2013PhRvD..88f3537D, + author = {{Dodelson}, S. and {Schneider}, M.~D.}, + title = "{The effect of covariance estimator error on cosmological parameter constraints}", + journal = {\prd}, +archivePrefix = "arXiv", + eprint = {1304.2593}, + primaryClass = "astro-ph.CO", + keywords = {Cosmology, Dark energy, Superclusters, large-scale structure of the Universe}, + year = 2013, + month = sep, + volume = 88, + number = 6, + eid 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= {10.1103/PhysRevD.92.043522}, + adsurl = {http://cdsads.u-strasbg.fr/abs/2015PhRvD..92d3522S}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2015arXiv150907816B, + author = {{Bellini}, E. and {Cuesta}, A.~J. and {Jimenez}, R. and {Verde}, L. + }, + title = "{Constraints on deviations from $\Lambda$CDM within Horndeski gravity}", + journal = {ArXiv e-prints}, +archivePrefix = "arXiv", + eprint = {1509.07816}, + keywords = {Astrophysics - Cosmology and Nongalactic Astrophysics, General Relativity and Quantum Cosmology, High Energy Physics - Phenomenology, High Energy Physics - Theory}, + year = 2015, + month = sep, + adsurl = {http://cdsads.u-strasbg.fr/abs/2015arXiv150907816B}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2015arXiv150907501D, + author = {{Di Valentino}, E. and {Melchiorri}, A. and {Silk}, J.}, + title = "{Cosmological Hints of Modified Gravity ?}", + journal = {ArXiv e-prints}, +archivePrefix = 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I. Theory}", + journal = {\apj}, + year = 1973, + month = oct, + volume = 185, + pages = {413-440}, + doi = {10.1086/152431}, + adsurl = {http://adsabs.harvard.edu/abs/1973ApJ...185..413P}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + + diff --git a/docs/build/doctrees/environment.pickle b/docs/build/doctrees/environment.pickle new file mode 100644 index 0000000000000000000000000000000000000000..a8fcf5e2cb845c903216d060a580ca88eea72e11 GIT binary patch literal 1764859 zcmbrH2Y4ID@%H5=S#fCNC00Omkaa*V`I zV#Q96(|hl|_uhNr^xk{#J^9|*ayO7nNBMtx#5?T%ZujnH+wAV_-pxmEE{4rYb#Z^9 zytrJY#^OSGvE4JURIQh`36IuMjn>hf)-jv&>q_<6YP}q`j zYHO%kZ1=Q|yZn~c+T!%|4B~267pJFt!ZN(q?YniNb^J_z-Ex`2YGbjre#FfmQ)o6@ zJ-hQKQJKnx(sZG|QaBK{PN=A>Pt31vSKEBglRB-FH}5@e&6+jU#Zq~H>y%=tQRMrF ziN!{#9QLT|dRnLA-luh1r*F=$r@~6uSfXONbw++ozNgS`Q*~ykjmXaIw9eX`Kfbio zQrvK#iEi)US|77OLV#$_*&-pJ3(A}+M~-7mcLmexg`*2c}1Gycn! 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(#13335) +// Support: Firefox 18+ +// + +var deletedIds = []; + +var slice = deletedIds.slice; + +var concat = deletedIds.concat; + +var push = deletedIds.push; + +var indexOf = deletedIds.indexOf; + +var class2type = {}; + +var toString = class2type.toString; + +var hasOwn = class2type.hasOwnProperty; + +var support = {}; + + + +var + version = "1.11.1", + + // Define a local copy of jQuery + jQuery = function( selector, context ) { + // The jQuery object is actually just the init constructor 'enhanced' + // Need init if jQuery is called (just allow error to be thrown if not included) + return new jQuery.fn.init( selector, context ); + }, + + // Support: Android<4.1, IE<9 + // Make sure we trim BOM and NBSP + rtrim = /^[\s\uFEFF\xA0]+|[\s\uFEFF\xA0]+$/g, + + // Matches dashed string for camelizing + rmsPrefix = /^-ms-/, + rdashAlpha = /-([\da-z])/gi, + + // Used by jQuery.camelCase as callback to replace() + fcamelCase = function( all, letter ) { + return letter.toUpperCase(); + }; + +jQuery.fn = jQuery.prototype = { + // The current version of jQuery being used + jquery: version, + + constructor: jQuery, + + // Start with an empty selector + selector: "", + + // The default length of a jQuery object is 0 + length: 0, + + toArray: function() { + return slice.call( this ); + }, + + // Get the Nth element in the matched element set OR + // Get the whole matched element set as a clean array + get: function( num ) { + return num != null ? + + // Return just the one element from the set + ( num < 0 ? this[ num + this.length ] : this[ num ] ) : + + // Return all the elements in a clean array + slice.call( this ); + }, + + // Take an array of elements and push it onto the stack + // (returning the new matched element set) + pushStack: function( elems ) { + + // Build a new jQuery matched element set + var ret = jQuery.merge( this.constructor(), elems ); + + // Add the old object onto the stack (as a reference) + ret.prevObject = this; + ret.context = this.context; + + // Return the newly-formed element set + return ret; + }, + + // Execute a callback for every element in the matched set. + // (You can seed the arguments with an array of args, but this is + // only used internally.) + each: function( callback, args ) { + return jQuery.each( this, callback, args ); + }, + + map: function( callback ) { + return this.pushStack( jQuery.map(this, function( elem, i ) { + return callback.call( elem, i, elem ); + })); + }, + + slice: function() { + return this.pushStack( slice.apply( this, arguments ) ); + }, + + first: function() { + return this.eq( 0 ); + }, + + last: function() { + return this.eq( -1 ); + }, + + eq: function( i ) { + var len = this.length, + j = +i + ( i < 0 ? len : 0 ); + return this.pushStack( j >= 0 && j < len ? [ this[j] ] : [] ); + }, + + end: function() { + return this.prevObject || this.constructor(null); + }, + + // For internal use only. + // Behaves like an Array's method, not like a jQuery method. + push: push, + sort: deletedIds.sort, + splice: deletedIds.splice +}; + +jQuery.extend = jQuery.fn.extend = function() { + var src, copyIsArray, copy, name, options, clone, + target = arguments[0] || {}, + i = 1, + length = arguments.length, + deep = false; + + // Handle a deep copy situation + if ( typeof target === "boolean" ) { + deep = target; + + // skip the boolean and the target + target = arguments[ i ] || {}; + i++; + } + + // Handle case when target is a string or something (possible in deep copy) + if ( typeof target !== "object" && !jQuery.isFunction(target) ) { + target = {}; + } + + // extend jQuery itself if only one argument is passed + if ( i === length ) { + target = this; + i--; + } + + for ( ; i < length; i++ ) { + // Only deal with non-null/undefined values + if ( (options = arguments[ i ]) != null ) { + // Extend the base object + for ( name in options ) { + src = target[ name ]; + copy = options[ name ]; + + // Prevent never-ending loop + if ( target === copy ) { + continue; + } + + // Recurse if we're merging plain objects or arrays + if ( deep && copy && ( jQuery.isPlainObject(copy) || (copyIsArray = jQuery.isArray(copy)) ) ) { + if ( copyIsArray ) { + copyIsArray = false; + clone = src && jQuery.isArray(src) ? src : []; + + } else { + clone = src && jQuery.isPlainObject(src) ? src : {}; + } + + // Never move original objects, clone them + target[ name ] = jQuery.extend( deep, clone, copy ); + + // Don't bring in undefined values + } else if ( copy !== undefined ) { + target[ name ] = copy; + } + } + } + } + + // Return the modified object + return target; +}; + +jQuery.extend({ + // Unique for each copy of jQuery on the page + expando: "jQuery" + ( version + Math.random() ).replace( /\D/g, "" ), + + // Assume jQuery is ready without the ready module + isReady: true, + + error: function( msg ) { + throw new Error( msg ); + }, + + noop: function() {}, + + // See test/unit/core.js for details concerning isFunction. + // Since version 1.3, DOM methods and functions like alert + // aren't supported. They return false on IE (#2968). + isFunction: function( obj ) { + return jQuery.type(obj) === "function"; + }, + + isArray: Array.isArray || function( obj ) { + return jQuery.type(obj) === "array"; + }, + + isWindow: function( obj ) { + /* jshint eqeqeq: false */ + return obj != null && obj == obj.window; + }, + + isNumeric: function( obj ) { + // parseFloat NaNs numeric-cast false positives (null|true|false|"") + // ...but misinterprets leading-number strings, particularly hex literals ("0x...") + // subtraction forces infinities to NaN + return !jQuery.isArray( obj ) && obj - parseFloat( obj ) >= 0; + }, + + isEmptyObject: function( obj ) { + var name; + for ( name in obj ) { + return false; + } + return true; + }, + + isPlainObject: function( obj ) { + var key; + + // Must be an Object. + // Because of IE, we also have to check the presence of the constructor property. + // Make sure that DOM nodes and window objects don't pass through, as well + if ( !obj || jQuery.type(obj) !== "object" || obj.nodeType || jQuery.isWindow( obj ) ) { + return false; + } + + try { + // Not own constructor property must be Object + if ( obj.constructor && + !hasOwn.call(obj, "constructor") && + !hasOwn.call(obj.constructor.prototype, "isPrototypeOf") ) { + return false; + } + } catch ( e ) { + // IE8,9 Will throw exceptions on certain host objects #9897 + return false; + } + + // Support: IE<9 + // Handle iteration over inherited properties before own properties. + if ( support.ownLast ) { + for ( key in obj ) { + return hasOwn.call( obj, key ); + } + } + + // Own properties are enumerated firstly, so to speed up, + // if last one is own, then all properties are own. + for ( key in obj ) {} + + return key === undefined || hasOwn.call( obj, key ); + }, + + type: function( obj ) { + if ( obj == null ) { + return obj + ""; + } + return typeof obj === "object" || typeof obj === "function" ? + class2type[ toString.call(obj) ] || "object" : + typeof obj; + }, + + // Evaluates a script in a global context + // Workarounds based on findings by Jim Driscoll + // http://weblogs.java.net/blog/driscoll/archive/2009/09/08/eval-javascript-global-context + globalEval: function( data ) { + if ( data && jQuery.trim( data ) ) { + // We use execScript on Internet Explorer + // We use an anonymous function so that context is window + // rather than jQuery in Firefox + ( window.execScript || function( data ) { + window[ "eval" ].call( window, data ); + } )( data ); + } + }, + + // Convert dashed to camelCase; used by the css and data modules + // Microsoft forgot to hump their vendor prefix (#9572) + camelCase: function( string ) { + return string.replace( rmsPrefix, "ms-" ).replace( rdashAlpha, fcamelCase ); + }, + + nodeName: function( elem, name ) { + return elem.nodeName && elem.nodeName.toLowerCase() === name.toLowerCase(); + }, + + // args is for internal usage only + each: function( obj, callback, args ) { + var value, + i = 0, + length = obj.length, + isArray = isArraylike( obj ); + + if ( args ) { + if ( isArray ) { + for ( ; i < length; i++ ) { + value = callback.apply( obj[ i ], args ); + + if ( value === false ) { + break; + } + } + } else { + for ( i in obj ) { + value = callback.apply( obj[ i ], args ); + + if ( value === false ) { + break; + } + } + } + + // A special, fast, case for the most common use of each + } else { + if ( isArray ) { + for ( ; i < length; i++ ) { + value = callback.call( obj[ i ], i, obj[ i ] ); + + if ( value === false ) { + break; + } + } + } else { + for ( i in obj ) { + value = callback.call( obj[ i ], i, obj[ i ] ); + + if ( value === false ) { + break; + } + } + } + } + + return obj; + }, + + // Support: Android<4.1, IE<9 + trim: function( text ) { + return text == null ? + "" : + ( text + "" ).replace( rtrim, "" ); + }, + + // results is for internal usage only + makeArray: function( arr, results ) { + var ret = results || []; + + if ( arr != null ) { + if ( isArraylike( Object(arr) ) ) { + jQuery.merge( ret, + typeof arr === "string" ? + [ arr ] : arr + ); + } else { + push.call( ret, arr ); + } + } + + return ret; + }, + + inArray: function( elem, arr, i ) { + var len; + + if ( arr ) { + if ( indexOf ) { + return indexOf.call( arr, elem, i ); + } + + len = arr.length; + i = i ? i < 0 ? Math.max( 0, len + i ) : i : 0; + + for ( ; i < len; i++ ) { + // Skip accessing in sparse arrays + if ( i in arr && arr[ i ] === elem ) { + return i; + } + } + } + + return -1; + }, + + merge: function( first, second ) { + var len = +second.length, + j = 0, + i = first.length; + + while ( j < len ) { + first[ i++ ] = second[ j++ ]; + } + + // Support: IE<9 + // Workaround casting of .length to NaN on otherwise arraylike objects (e.g., NodeLists) + if ( len !== len ) { + while ( second[j] !== undefined ) { + first[ i++ ] = second[ j++ ]; + } + } + + first.length = i; + + return first; + }, + + grep: function( elems, callback, invert ) { + var callbackInverse, + matches = [], + i = 0, + length = elems.length, + callbackExpect = !invert; + + // Go through the array, only saving the items + // that pass the validator function + for ( ; i < length; i++ ) { + callbackInverse = !callback( elems[ i ], i ); + if ( callbackInverse !== callbackExpect ) { + matches.push( elems[ i ] ); + } + } + + return matches; + }, + + // arg is for internal usage only + map: function( elems, callback, arg ) { + var value, + i = 0, + length = elems.length, + isArray = isArraylike( elems ), + ret = []; + + // Go through the array, translating each of the items to their new values + if ( isArray ) { + for ( ; i < length; i++ ) { + value = callback( elems[ i ], i, arg ); + + if ( value != null ) { + ret.push( value ); + } + } + + // Go through every key on the object, + } else { + for ( i in elems ) { + value = callback( elems[ i ], i, arg ); + + if ( value != null ) { + ret.push( value ); + } + } + } + + // Flatten any nested arrays + return concat.apply( [], ret ); + }, + + // A global GUID counter for objects + guid: 1, + + // Bind a function to a context, optionally partially applying any + // arguments. + proxy: function( fn, context ) { + var args, proxy, tmp; + + if ( typeof context === "string" ) { + tmp = fn[ context ]; + context = fn; + fn = tmp; + } + + // Quick check to determine if target is callable, in the spec + // this throws a TypeError, but we will just return undefined. + if ( !jQuery.isFunction( fn ) ) { + return undefined; + } + + // Simulated bind + args = slice.call( arguments, 2 ); + proxy = function() { + return fn.apply( context || this, args.concat( slice.call( arguments ) ) ); + }; + + // Set the guid of unique handler to the same of original handler, so it can be removed + proxy.guid = fn.guid = fn.guid || jQuery.guid++; + + return proxy; + }, + + now: function() { + return +( new Date() ); + }, + + // jQuery.support is not used in Core but other projects attach their + // properties to it so it needs to exist. + support: support +}); + +// Populate the class2type map +jQuery.each("Boolean Number String Function Array Date RegExp Object Error".split(" "), function(i, name) { + class2type[ "[object " + name + "]" ] = name.toLowerCase(); +}); + +function isArraylike( obj ) { + var length = obj.length, + type = jQuery.type( obj ); + + if ( type === "function" || jQuery.isWindow( obj ) ) { + return false; + } + + if ( obj.nodeType === 1 && length ) { + return true; + } + + return type === "array" || length === 0 || + typeof length === "number" && length > 0 && ( length - 1 ) in obj; +} +var Sizzle = +/*! + * Sizzle CSS Selector Engine v1.10.19 + * http://sizzlejs.com/ + * + * Copyright 2013 jQuery Foundation, Inc. and other contributors + * Released under the MIT license + * http://jquery.org/license + * + * Date: 2014-04-18 + */ +(function( window ) { + +var i, + support, + Expr, + getText, + isXML, + tokenize, + compile, + select, + outermostContext, + sortInput, + hasDuplicate, + + // Local document vars + setDocument, + document, + docElem, + documentIsHTML, + rbuggyQSA, + rbuggyMatches, + matches, + contains, + + // Instance-specific data + expando = "sizzle" + -(new Date()), + preferredDoc = window.document, + dirruns = 0, + done = 0, + classCache = createCache(), + tokenCache = createCache(), + compilerCache = createCache(), + sortOrder = function( a, b ) { + if ( a === b ) { + hasDuplicate = true; + } + return 0; + }, + + // General-purpose constants + strundefined = typeof undefined, + MAX_NEGATIVE = 1 << 31, + + // Instance methods + hasOwn = ({}).hasOwnProperty, + arr = [], + pop = arr.pop, + push_native = arr.push, + push = arr.push, + slice = arr.slice, + // Use a stripped-down indexOf if we can't use a native one + indexOf = arr.indexOf || function( elem ) { + var i = 0, + len = this.length; + for ( ; i < len; i++ ) { + if ( this[i] === elem ) { + return i; + } + } + return -1; + }, + + booleans = "checked|selected|async|autofocus|autoplay|controls|defer|disabled|hidden|ismap|loop|multiple|open|readonly|required|scoped", + + // Regular expressions + + // Whitespace characters http://www.w3.org/TR/css3-selectors/#whitespace + whitespace = "[\\x20\\t\\r\\n\\f]", + // http://www.w3.org/TR/css3-syntax/#characters + characterEncoding = "(?:\\\\.|[\\w-]|[^\\x00-\\xa0])+", + + // Loosely modeled on CSS identifier characters + // An unquoted value should be a CSS identifier http://www.w3.org/TR/css3-selectors/#attribute-selectors + // Proper syntax: http://www.w3.org/TR/CSS21/syndata.html#value-def-identifier + identifier = characterEncoding.replace( "w", "w#" ), + + // Attribute selectors: http://www.w3.org/TR/selectors/#attribute-selectors + attributes = "\\[" + whitespace + "*(" + characterEncoding + ")(?:" + whitespace + + // Operator (capture 2) + "*([*^$|!~]?=)" + whitespace + + // "Attribute values must be CSS identifiers [capture 5] or strings [capture 3 or capture 4]" + "*(?:'((?:\\\\.|[^\\\\'])*)'|\"((?:\\\\.|[^\\\\\"])*)\"|(" + identifier + "))|)" + whitespace + + "*\\]", + + pseudos = ":(" + characterEncoding + ")(?:\\((" + + // To reduce the number of selectors needing tokenize in the preFilter, prefer arguments: + // 1. quoted (capture 3; capture 4 or capture 5) + "('((?:\\\\.|[^\\\\'])*)'|\"((?:\\\\.|[^\\\\\"])*)\")|" + + // 2. simple (capture 6) + "((?:\\\\.|[^\\\\()[\\]]|" + attributes + ")*)|" + + // 3. anything else (capture 2) + ".*" + + ")\\)|)", + + // Leading and non-escaped trailing whitespace, capturing some non-whitespace characters preceding the latter + rtrim = new RegExp( "^" + whitespace + "+|((?:^|[^\\\\])(?:\\\\.)*)" + whitespace + "+$", "g" ), + + rcomma = new RegExp( "^" + whitespace + "*," + whitespace + "*" ), + rcombinators = new RegExp( "^" + whitespace + "*([>+~]|" + whitespace + ")" + whitespace + "*" ), + + rattributeQuotes = new RegExp( "=" + whitespace + "*([^\\]'\"]*?)" + whitespace + "*\\]", "g" ), + + rpseudo = new RegExp( pseudos ), + ridentifier = new RegExp( "^" + identifier + "$" ), + + matchExpr = { + "ID": new RegExp( "^#(" + characterEncoding + ")" ), + "CLASS": new RegExp( "^\\.(" + characterEncoding + ")" ), + "TAG": new RegExp( "^(" + characterEncoding.replace( "w", "w*" ) + ")" ), + "ATTR": new RegExp( "^" + attributes ), + "PSEUDO": new RegExp( "^" + pseudos ), + "CHILD": new RegExp( "^:(only|first|last|nth|nth-last)-(child|of-type)(?:\\(" + whitespace + + "*(even|odd|(([+-]|)(\\d*)n|)" + whitespace + "*(?:([+-]|)" + whitespace + + "*(\\d+)|))" + whitespace + "*\\)|)", "i" ), + "bool": new RegExp( "^(?:" + booleans + ")$", "i" ), + // For use in libraries implementing .is() + // We use this for POS matching in `select` + "needsContext": new RegExp( "^" + whitespace + "*[>+~]|:(even|odd|eq|gt|lt|nth|first|last)(?:\\(" + + whitespace + "*((?:-\\d)?\\d*)" + whitespace + "*\\)|)(?=[^-]|$)", "i" ) + }, + + rinputs = /^(?:input|select|textarea|button)$/i, + rheader = /^h\d$/i, + + rnative = /^[^{]+\{\s*\[native \w/, + + // Easily-parseable/retrievable ID or TAG or CLASS selectors + rquickExpr = /^(?:#([\w-]+)|(\w+)|\.([\w-]+))$/, + + rsibling = /[+~]/, + rescape = /'|\\/g, + + // CSS escapes http://www.w3.org/TR/CSS21/syndata.html#escaped-characters + runescape = new RegExp( "\\\\([\\da-f]{1,6}" + whitespace + "?|(" + whitespace + ")|.)", "ig" ), + funescape = function( _, escaped, escapedWhitespace ) { + var high = "0x" + escaped - 0x10000; + // NaN means non-codepoint + // Support: Firefox<24 + // Workaround erroneous numeric interpretation of +"0x" + return high !== high || escapedWhitespace ? + escaped : + high < 0 ? + // BMP codepoint + String.fromCharCode( high + 0x10000 ) : + // Supplemental Plane codepoint (surrogate pair) + String.fromCharCode( high >> 10 | 0xD800, high & 0x3FF | 0xDC00 ); + }; + +// Optimize for push.apply( _, NodeList ) +try { + push.apply( + (arr = slice.call( preferredDoc.childNodes )), + preferredDoc.childNodes + ); + // Support: Android<4.0 + // Detect silently failing push.apply + arr[ preferredDoc.childNodes.length ].nodeType; +} catch ( e ) { + push = { apply: arr.length ? + + // Leverage slice if possible + function( target, els ) { + push_native.apply( target, slice.call(els) ); + } : + + // Support: IE<9 + // Otherwise append directly + function( target, els ) { + var j = target.length, + i = 0; + // Can't trust NodeList.length + while ( (target[j++] = els[i++]) ) {} + target.length = j - 1; + } + }; +} + +function Sizzle( selector, context, results, seed ) { + var match, elem, m, nodeType, + // QSA vars + i, groups, old, nid, newContext, newSelector; + + if ( ( context ? context.ownerDocument || context : preferredDoc ) !== document ) { + setDocument( context ); + } + + context = context || document; + results = results || []; + + if ( !selector || typeof selector !== "string" ) { + return results; + } + + if ( (nodeType = context.nodeType) !== 1 && nodeType !== 9 ) { + return []; + } + + if ( documentIsHTML && !seed ) { + + // Shortcuts + if ( (match = rquickExpr.exec( selector )) ) { + // Speed-up: Sizzle("#ID") + if ( (m = match[1]) ) { + if ( nodeType === 9 ) { + elem = context.getElementById( m ); + // Check parentNode to catch when Blackberry 4.6 returns + // nodes that are no longer in the document (jQuery #6963) + if ( elem && elem.parentNode ) { + // Handle the case where IE, Opera, and Webkit return items + // by name instead of ID + if ( elem.id === m ) { + results.push( elem ); + return results; + } + } else { + return results; + } + } else { + // Context is not a document + if ( context.ownerDocument && (elem = context.ownerDocument.getElementById( m )) && + contains( context, elem ) && elem.id === m ) { + results.push( elem ); + return results; + } + } + + // Speed-up: Sizzle("TAG") + } else if ( match[2] ) { + push.apply( results, context.getElementsByTagName( selector ) ); + return results; + + // Speed-up: Sizzle(".CLASS") + } else if ( (m = match[3]) && support.getElementsByClassName && context.getElementsByClassName ) { + push.apply( results, context.getElementsByClassName( m ) ); + return results; + } + } + + // QSA path + if ( support.qsa && (!rbuggyQSA || !rbuggyQSA.test( selector )) ) { + nid = old = expando; + newContext = context; + newSelector = nodeType === 9 && selector; + + // qSA works strangely on Element-rooted queries + // We can work around this by specifying an extra ID on the root + // and working up from there (Thanks to Andrew Dupont for the technique) + // IE 8 doesn't work on object elements + if ( nodeType === 1 && context.nodeName.toLowerCase() !== "object" ) { + groups = tokenize( selector ); + + if ( (old = context.getAttribute("id")) ) { + nid = old.replace( rescape, "\\$&" ); + } else { + context.setAttribute( "id", nid ); + } + nid = "[id='" + nid + "'] "; + + i = groups.length; + while ( i-- ) { + groups[i] = nid + toSelector( groups[i] ); + } + newContext = rsibling.test( selector ) && testContext( context.parentNode ) || context; + newSelector = groups.join(","); + } + + if ( newSelector ) { + try { + push.apply( results, + newContext.querySelectorAll( newSelector ) + ); + return results; + } catch(qsaError) { + } finally { + if ( !old ) { + context.removeAttribute("id"); + } + } + } + } + } + + // All others + return select( selector.replace( rtrim, "$1" ), context, results, seed ); +} + +/** + * Create key-value caches of limited size + * @returns {Function(string, Object)} Returns the Object data after storing it on itself with + * property name the (space-suffixed) string and (if the cache is larger than Expr.cacheLength) + * deleting the oldest entry + */ +function createCache() { + var keys = []; + + function cache( key, value ) { + // Use (key + " ") to avoid collision with native prototype properties (see Issue #157) + if ( keys.push( key + " " ) > Expr.cacheLength ) { + // Only keep the most recent entries + delete cache[ keys.shift() ]; + } + return (cache[ key + " " ] = value); + } + return cache; +} + +/** + * Mark a function for special use by Sizzle + * @param {Function} fn The function to mark + */ +function markFunction( fn ) { + fn[ expando ] = true; + return fn; +} + +/** + * Support testing using an element + * @param {Function} fn Passed the created div and expects a boolean result + */ +function assert( fn ) { + var div = document.createElement("div"); + + try { + return !!fn( div ); + } catch (e) { + return false; + } finally { + // Remove from its parent by default + if ( div.parentNode ) { + div.parentNode.removeChild( div ); + } + // release memory in IE + div = null; + } +} + +/** + * Adds the same handler for all of the specified attrs + * @param {String} attrs Pipe-separated list of attributes + * @param {Function} handler The method that will be applied + */ +function addHandle( attrs, handler ) { + var arr = attrs.split("|"), + i = attrs.length; + + while ( i-- ) { + Expr.attrHandle[ arr[i] ] = handler; + } +} + +/** + * Checks document order of two siblings + * @param {Element} a + * @param {Element} b + * @returns {Number} Returns less than 0 if a precedes b, greater than 0 if a follows b + */ +function siblingCheck( a, b ) { + var cur = b && a, + diff = cur && a.nodeType === 1 && b.nodeType === 1 && + ( ~b.sourceIndex || MAX_NEGATIVE ) - + ( ~a.sourceIndex || MAX_NEGATIVE ); + + // Use IE sourceIndex if available on both nodes + if ( diff ) { + return diff; + } + + // Check if b follows a + if ( cur ) { + while ( (cur = cur.nextSibling) ) { + if ( cur === b ) { + return -1; + } + } + } + + return a ? 1 : -1; +} + +/** + * Returns a function to use in pseudos for input types + * @param {String} type + */ +function createInputPseudo( type ) { + return function( elem ) { + var name = elem.nodeName.toLowerCase(); + return name === "input" && elem.type === type; + }; +} + +/** + * Returns a function to use in pseudos for buttons + * @param {String} type + */ +function createButtonPseudo( type ) { + return function( elem ) { + var name = elem.nodeName.toLowerCase(); + return (name === "input" || name === "button") && elem.type === type; + }; +} + +/** + * Returns a function to use in pseudos for positionals + * @param {Function} fn + */ +function createPositionalPseudo( fn ) { + return markFunction(function( argument ) { + argument = +argument; + return markFunction(function( seed, matches ) { + var j, + matchIndexes = fn( [], seed.length, argument ), + i = matchIndexes.length; + + // Match elements found at the specified indexes + while ( i-- ) { + if ( seed[ (j = matchIndexes[i]) ] ) { + seed[j] = !(matches[j] = seed[j]); + } + } + }); + }); +} + +/** + * Checks a node for validity as a Sizzle context + * @param {Element|Object=} context + * @returns {Element|Object|Boolean} The input node if acceptable, otherwise a falsy value + */ +function testContext( context ) { + return context && typeof context.getElementsByTagName !== strundefined && context; +} + +// Expose support vars for convenience +support = Sizzle.support = {}; + +/** + * Detects XML nodes + * @param {Element|Object} elem An element or a document + * @returns {Boolean} True iff elem is a non-HTML XML node + */ +isXML = Sizzle.isXML = function( elem ) { + // documentElement is verified for cases where it doesn't yet exist + // (such as loading iframes in IE - #4833) + var documentElement = elem && (elem.ownerDocument || elem).documentElement; + return documentElement ? documentElement.nodeName !== "HTML" : false; +}; + +/** + * Sets document-related variables once based on the current document + * @param {Element|Object} [doc] An element or document object to use to set the document + * @returns {Object} Returns the current document + */ +setDocument = Sizzle.setDocument = function( node ) { + var hasCompare, + doc = node ? node.ownerDocument || node : preferredDoc, + parent = doc.defaultView; + + // If no document and documentElement is available, return + if ( doc === document || doc.nodeType !== 9 || !doc.documentElement ) { + return document; + } + + // Set our document + document = doc; + docElem = doc.documentElement; + + // Support tests + documentIsHTML = !isXML( doc ); + + // Support: IE>8 + // If iframe document is assigned to "document" variable and if iframe has been reloaded, + // IE will throw "permission denied" error when accessing "document" variable, see jQuery #13936 + // IE6-8 do not support the defaultView property so parent will be undefined + if ( parent && parent !== parent.top ) { + // IE11 does not have attachEvent, so all must suffer + if ( parent.addEventListener ) { + parent.addEventListener( "unload", function() { + setDocument(); + }, false ); + } else if ( parent.attachEvent ) { + parent.attachEvent( "onunload", function() { + setDocument(); + }); + } + } + + /* Attributes + ---------------------------------------------------------------------- */ + + // Support: IE<8 + // Verify that getAttribute really returns attributes and not properties (excepting IE8 booleans) + support.attributes = assert(function( div ) { + div.className = "i"; + return !div.getAttribute("className"); + }); + + /* getElement(s)By* + ---------------------------------------------------------------------- */ + + // Check if getElementsByTagName("*") returns only elements + support.getElementsByTagName = assert(function( div ) { + div.appendChild( doc.createComment("") ); + return !div.getElementsByTagName("*").length; + }); + + // Check if getElementsByClassName can be trusted + support.getElementsByClassName = rnative.test( doc.getElementsByClassName ) && assert(function( div ) { + div.innerHTML = "

    "; + + // Support: Safari<4 + // Catch class over-caching + div.firstChild.className = "i"; + // Support: Opera<10 + // Catch gEBCN failure to find non-leading classes + return div.getElementsByClassName("i").length === 2; + }); + + // Support: IE<10 + // Check if getElementById returns elements by name + // The broken getElementById methods don't pick up programatically-set names, + // so use a roundabout getElementsByName test + support.getById = assert(function( div ) { + docElem.appendChild( div ).id = expando; + return !doc.getElementsByName || !doc.getElementsByName( expando ).length; + }); + + // ID find and filter + if ( support.getById ) { + Expr.find["ID"] = function( id, context ) { + if ( typeof context.getElementById !== strundefined && documentIsHTML ) { + var m = context.getElementById( id ); + // Check parentNode to catch when Blackberry 4.6 returns + // nodes that are no longer in the document #6963 + return m && m.parentNode ? [ m ] : []; + } + }; + Expr.filter["ID"] = function( id ) { + var attrId = id.replace( runescape, funescape ); + return function( elem ) { + return elem.getAttribute("id") === attrId; + }; + }; + } else { + // Support: IE6/7 + // getElementById is not reliable as a find shortcut + delete Expr.find["ID"]; + + Expr.filter["ID"] = function( id ) { + var attrId = id.replace( runescape, funescape ); + return function( elem ) { + var node = typeof elem.getAttributeNode !== strundefined && elem.getAttributeNode("id"); + return node && node.value === attrId; + }; + }; + } + + // Tag + Expr.find["TAG"] = support.getElementsByTagName ? + function( tag, context ) { + if ( typeof context.getElementsByTagName !== strundefined ) { + return context.getElementsByTagName( tag ); + } + } : + function( tag, context ) { + var elem, + tmp = [], + i = 0, + results = context.getElementsByTagName( tag ); + + // Filter out possible comments + if ( tag === "*" ) { + while ( (elem = results[i++]) ) { + if ( elem.nodeType === 1 ) { + tmp.push( elem ); + } + } + + return tmp; + } + return results; + }; + + // Class + Expr.find["CLASS"] = support.getElementsByClassName && function( className, context ) { + if ( typeof context.getElementsByClassName !== strundefined && documentIsHTML ) { + return context.getElementsByClassName( className ); + } + }; + + /* QSA/matchesSelector + ---------------------------------------------------------------------- */ + + // QSA and matchesSelector support + + // matchesSelector(:active) reports false when true (IE9/Opera 11.5) + rbuggyMatches = []; + + // qSa(:focus) reports false when true (Chrome 21) + // We allow this because of a bug in IE8/9 that throws an error + // whenever `document.activeElement` is accessed on an iframe + // So, we allow :focus to pass through QSA all the time to avoid the IE error + // See http://bugs.jquery.com/ticket/13378 + rbuggyQSA = []; + + if ( (support.qsa = rnative.test( doc.querySelectorAll )) ) { + // Build QSA regex + // Regex strategy adopted from Diego Perini + assert(function( div ) { + // Select is set to empty string on purpose + // This is to test IE's treatment of not explicitly + // setting a boolean content attribute, + // since its presence should be enough + // http://bugs.jquery.com/ticket/12359 + div.innerHTML = ""; + + // Support: IE8, Opera 11-12.16 + // Nothing should be selected when empty strings follow ^= or $= or *= + // The test attribute must be unknown in Opera but "safe" for WinRT + // http://msdn.microsoft.com/en-us/library/ie/hh465388.aspx#attribute_section + if ( div.querySelectorAll("[msallowclip^='']").length ) { + rbuggyQSA.push( "[*^$]=" + whitespace + "*(?:''|\"\")" ); + } + + // Support: IE8 + // Boolean attributes and "value" are not treated correctly + if ( !div.querySelectorAll("[selected]").length ) { + rbuggyQSA.push( "\\[" + whitespace + "*(?:value|" + booleans + ")" ); + } + + // Webkit/Opera - :checked should return selected option elements + // http://www.w3.org/TR/2011/REC-css3-selectors-20110929/#checked + // IE8 throws error here and will not see later tests + if ( !div.querySelectorAll(":checked").length ) { + rbuggyQSA.push(":checked"); + } + }); + + assert(function( div ) { + // Support: Windows 8 Native Apps + // The type and name attributes are restricted during .innerHTML assignment + var input = doc.createElement("input"); + input.setAttribute( "type", "hidden" ); + div.appendChild( input ).setAttribute( "name", "D" ); + + // Support: IE8 + // Enforce case-sensitivity of name attribute + if ( div.querySelectorAll("[name=d]").length ) { + rbuggyQSA.push( "name" + whitespace + "*[*^$|!~]?=" ); + } + + // FF 3.5 - :enabled/:disabled and hidden elements (hidden elements are still enabled) + // IE8 throws error here and will not see later tests + if ( !div.querySelectorAll(":enabled").length ) { + rbuggyQSA.push( ":enabled", ":disabled" ); + } + + // Opera 10-11 does not throw on post-comma invalid pseudos + div.querySelectorAll("*,:x"); + rbuggyQSA.push(",.*:"); + }); + } + + if ( (support.matchesSelector = rnative.test( (matches = docElem.matches || + docElem.webkitMatchesSelector || + docElem.mozMatchesSelector || + docElem.oMatchesSelector || + docElem.msMatchesSelector) )) ) { + + assert(function( div ) { + // Check to see if it's possible to do matchesSelector + // on a disconnected node (IE 9) + support.disconnectedMatch = matches.call( div, "div" ); + + // This should fail with an exception + // Gecko does not error, returns false instead + matches.call( div, "[s!='']:x" ); + rbuggyMatches.push( "!=", pseudos ); + }); + } + + rbuggyQSA = rbuggyQSA.length && new RegExp( rbuggyQSA.join("|") ); + rbuggyMatches = rbuggyMatches.length && new RegExp( rbuggyMatches.join("|") ); + + /* Contains + ---------------------------------------------------------------------- */ + hasCompare = rnative.test( docElem.compareDocumentPosition ); + + // Element contains another + // Purposefully does not implement inclusive descendent + // As in, an element does not contain itself + contains = hasCompare || rnative.test( docElem.contains ) ? + function( a, b ) { + var adown = a.nodeType === 9 ? a.documentElement : a, + bup = b && b.parentNode; + return a === bup || !!( bup && bup.nodeType === 1 && ( + adown.contains ? + adown.contains( bup ) : + a.compareDocumentPosition && a.compareDocumentPosition( bup ) & 16 + )); + } : + function( a, b ) { + if ( b ) { + while ( (b = b.parentNode) ) { + if ( b === a ) { + return true; + } + } + } + return false; + }; + + /* Sorting + ---------------------------------------------------------------------- */ + + // Document order sorting + sortOrder = hasCompare ? + function( a, b ) { + + // Flag for duplicate removal + if ( a === b ) { + hasDuplicate = true; + return 0; + } + + // Sort on method existence if only one input has compareDocumentPosition + var compare = !a.compareDocumentPosition - !b.compareDocumentPosition; + if ( compare ) { + return compare; + } + + // Calculate position if both inputs belong to the same document + compare = ( a.ownerDocument || a ) === ( b.ownerDocument || b ) ? + a.compareDocumentPosition( b ) : + + // Otherwise we know they are disconnected + 1; + + // Disconnected nodes + if ( compare & 1 || + (!support.sortDetached && b.compareDocumentPosition( a ) === compare) ) { + + // Choose the first element that is related to our preferred document + if ( a === doc || a.ownerDocument === preferredDoc && contains(preferredDoc, a) ) { + return -1; + } + if ( b === doc || b.ownerDocument === preferredDoc && contains(preferredDoc, b) ) { + return 1; + } + + // Maintain original order + return sortInput ? + ( indexOf.call( sortInput, a ) - indexOf.call( sortInput, b ) ) : + 0; + } + + return compare & 4 ? -1 : 1; + } : + function( a, b ) { + // Exit early if the nodes are identical + if ( a === b ) { + hasDuplicate = true; + return 0; + } + + var cur, + i = 0, + aup = a.parentNode, + bup = b.parentNode, + ap = [ a ], + bp = [ b ]; + + // Parentless nodes are either documents or disconnected + if ( !aup || !bup ) { + return a === doc ? -1 : + b === doc ? 1 : + aup ? -1 : + bup ? 1 : + sortInput ? + ( indexOf.call( sortInput, a ) - indexOf.call( sortInput, b ) ) : + 0; + + // If the nodes are siblings, we can do a quick check + } else if ( aup === bup ) { + return siblingCheck( a, b ); + } + + // Otherwise we need full lists of their ancestors for comparison + cur = a; + while ( (cur = cur.parentNode) ) { + ap.unshift( cur ); + } + cur = b; + while ( (cur = cur.parentNode) ) { + bp.unshift( cur ); + } + + // Walk down the tree looking for a discrepancy + while ( ap[i] === bp[i] ) { + i++; + } + + return i ? + // Do a sibling check if the nodes have a common ancestor + siblingCheck( ap[i], bp[i] ) : + + // Otherwise nodes in our document sort first + ap[i] === preferredDoc ? -1 : + bp[i] === preferredDoc ? 1 : + 0; + }; + + return doc; +}; + +Sizzle.matches = function( expr, elements ) { + return Sizzle( expr, null, null, elements ); +}; + +Sizzle.matchesSelector = function( elem, expr ) { + // Set document vars if needed + if ( ( elem.ownerDocument || elem ) !== document ) { + setDocument( elem ); + } + + // Make sure that attribute selectors are quoted + expr = expr.replace( rattributeQuotes, "='$1']" ); + + if ( support.matchesSelector && documentIsHTML && + ( !rbuggyMatches || !rbuggyMatches.test( expr ) ) && + ( !rbuggyQSA || !rbuggyQSA.test( expr ) ) ) { + + try { + var ret = matches.call( elem, expr ); + + // IE 9's matchesSelector returns false on disconnected nodes + if ( ret || support.disconnectedMatch || + // As well, disconnected nodes are said to be in a document + // fragment in IE 9 + elem.document && elem.document.nodeType !== 11 ) { + return ret; + } + } catch(e) {} + } + + return Sizzle( expr, document, null, [ elem ] ).length > 0; +}; + +Sizzle.contains = function( context, elem ) { + // Set document vars if needed + if ( ( context.ownerDocument || context ) !== document ) { + setDocument( context ); + } + return contains( context, elem ); +}; + +Sizzle.attr = function( elem, name ) { + // Set document vars if needed + if ( ( elem.ownerDocument || elem ) !== document ) { + setDocument( elem ); + } + + var fn = Expr.attrHandle[ name.toLowerCase() ], + // Don't get fooled by Object.prototype properties (jQuery #13807) + val = fn && hasOwn.call( Expr.attrHandle, name.toLowerCase() ) ? + fn( elem, name, !documentIsHTML ) : + undefined; + + return val !== undefined ? + val : + support.attributes || !documentIsHTML ? + elem.getAttribute( name ) : + (val = elem.getAttributeNode(name)) && val.specified ? + val.value : + null; +}; + +Sizzle.error = function( msg ) { + throw new Error( "Syntax error, unrecognized expression: " + msg ); +}; + +/** + * Document sorting and removing duplicates + * @param {ArrayLike} results + */ +Sizzle.uniqueSort = function( results ) { + var elem, + duplicates = [], + j = 0, + i = 0; + + // Unless we *know* we can detect duplicates, assume their presence + hasDuplicate = !support.detectDuplicates; + sortInput = !support.sortStable && results.slice( 0 ); + results.sort( sortOrder ); + + if ( hasDuplicate ) { + while ( (elem = results[i++]) ) { + if ( elem === results[ i ] ) { + j = duplicates.push( i ); + } + } + while ( j-- ) { + results.splice( duplicates[ j ], 1 ); + } + } + + // Clear input after sorting to release objects + // See https://github.com/jquery/sizzle/pull/225 + sortInput = null; + + return results; +}; + +/** + * Utility function for retrieving the text value of an array of DOM nodes + * @param {Array|Element} elem + */ +getText = Sizzle.getText = function( elem ) { + var node, + ret = "", + i = 0, + nodeType = elem.nodeType; + + if ( !nodeType ) { + // If no nodeType, this is expected to be an array + while ( (node = elem[i++]) ) { + // Do not traverse comment nodes + ret += getText( node ); + } + } else if ( nodeType === 1 || nodeType === 9 || nodeType === 11 ) { + // Use textContent for elements + // innerText usage removed for consistency of new lines (jQuery #11153) + if ( typeof elem.textContent === "string" ) { + return elem.textContent; + } else { + // Traverse its children + for ( elem = elem.firstChild; elem; elem = elem.nextSibling ) { + ret += getText( elem ); + } + } + } else if ( nodeType === 3 || nodeType === 4 ) { + return elem.nodeValue; + } + // Do not include comment or processing instruction nodes + + return ret; +}; + +Expr = Sizzle.selectors = { + + // Can be adjusted by the user + cacheLength: 50, + + createPseudo: markFunction, + + match: matchExpr, + + attrHandle: {}, + + find: {}, + + relative: { + ">": { dir: "parentNode", first: true }, + " ": { dir: "parentNode" }, + "+": { dir: "previousSibling", first: true }, + "~": { dir: "previousSibling" } + }, + + preFilter: { + "ATTR": function( match ) { + match[1] = match[1].replace( runescape, funescape ); + + // Move the given value to match[3] whether quoted or unquoted + match[3] = ( match[3] || match[4] || match[5] || "" ).replace( runescape, funescape ); + + if ( match[2] === "~=" ) { + match[3] = " " + match[3] + " "; + } + + return match.slice( 0, 4 ); + }, + + "CHILD": function( match ) { + /* matches from matchExpr["CHILD"] + 1 type (only|nth|...) + 2 what (child|of-type) + 3 argument (even|odd|\d*|\d*n([+-]\d+)?|...) + 4 xn-component of xn+y argument ([+-]?\d*n|) + 5 sign of xn-component + 6 x of xn-component + 7 sign of y-component + 8 y of y-component + */ + match[1] = match[1].toLowerCase(); + + if ( match[1].slice( 0, 3 ) === "nth" ) { + // nth-* requires argument + if ( !match[3] ) { + Sizzle.error( match[0] ); + } + + // numeric x and y parameters for Expr.filter.CHILD + // remember that false/true cast respectively to 0/1 + match[4] = +( match[4] ? match[5] + (match[6] || 1) : 2 * ( match[3] === "even" || match[3] === "odd" ) ); + match[5] = +( ( match[7] + match[8] ) || match[3] === "odd" ); + + // other types prohibit arguments + } else if ( match[3] ) { + Sizzle.error( match[0] ); + } + + return match; + }, + + "PSEUDO": function( match ) { + var excess, + unquoted = !match[6] && match[2]; + + if ( matchExpr["CHILD"].test( match[0] ) ) { + return null; + } + + // Accept quoted arguments as-is + if ( match[3] ) { + match[2] = match[4] || match[5] || ""; + + // Strip excess characters from unquoted arguments + } else if ( unquoted && rpseudo.test( unquoted ) && + // Get excess from tokenize (recursively) + (excess = tokenize( unquoted, true )) && + // advance to the next closing parenthesis + (excess = unquoted.indexOf( ")", unquoted.length - excess ) - unquoted.length) ) { + + // excess is a negative index + match[0] = match[0].slice( 0, excess ); + match[2] = unquoted.slice( 0, excess ); + } + + // Return only captures needed by the pseudo filter method (type and argument) + return match.slice( 0, 3 ); + } + }, + + filter: { + + "TAG": function( nodeNameSelector ) { + var nodeName = nodeNameSelector.replace( runescape, funescape ).toLowerCase(); + return nodeNameSelector === "*" ? + function() { return true; } : + function( elem ) { + return elem.nodeName && elem.nodeName.toLowerCase() === nodeName; + }; + }, + + "CLASS": function( className ) { + var pattern = classCache[ className + " " ]; + + return pattern || + (pattern = new RegExp( "(^|" + whitespace + ")" + className + "(" + whitespace + "|$)" )) && + classCache( className, function( elem ) { + return pattern.test( typeof elem.className === "string" && elem.className || typeof elem.getAttribute !== strundefined && elem.getAttribute("class") || "" ); + }); + }, + + "ATTR": function( name, operator, check ) { + return function( elem ) { + var result = Sizzle.attr( elem, name ); + + if ( result == null ) { + return operator === "!="; + } + if ( !operator ) { + return true; + } + + result += ""; + + return operator === "=" ? result === check : + operator === "!=" ? result !== check : + operator === "^=" ? check && result.indexOf( check ) === 0 : + operator === "*=" ? check && result.indexOf( check ) > -1 : + operator === "$=" ? check && result.slice( -check.length ) === check : + operator === "~=" ? ( " " + result + " " ).indexOf( check ) > -1 : + operator === "|=" ? result === check || result.slice( 0, check.length + 1 ) === check + "-" : + false; + }; + }, + + "CHILD": function( type, what, argument, first, last ) { + var simple = type.slice( 0, 3 ) !== "nth", + forward = type.slice( -4 ) !== "last", + ofType = what === "of-type"; + + return first === 1 && last === 0 ? + + // Shortcut for :nth-*(n) + function( elem ) { + return !!elem.parentNode; + } : + + function( elem, context, xml ) { + var cache, outerCache, node, diff, nodeIndex, start, + dir = simple !== forward ? "nextSibling" : "previousSibling", + parent = elem.parentNode, + name = ofType && elem.nodeName.toLowerCase(), + useCache = !xml && !ofType; + + if ( parent ) { + + // :(first|last|only)-(child|of-type) + if ( simple ) { + while ( dir ) { + node = elem; + while ( (node = node[ dir ]) ) { + if ( ofType ? node.nodeName.toLowerCase() === name : node.nodeType === 1 ) { + return false; + } + } + // Reverse direction for :only-* (if we haven't yet done so) + start = dir = type === "only" && !start && "nextSibling"; + } + return true; + } + + start = [ forward ? parent.firstChild : parent.lastChild ]; + + // non-xml :nth-child(...) stores cache data on `parent` + if ( forward && useCache ) { + // Seek `elem` from a previously-cached index + outerCache = parent[ expando ] || (parent[ expando ] = {}); + cache = outerCache[ type ] || []; + nodeIndex = cache[0] === dirruns && cache[1]; + diff = cache[0] === dirruns && cache[2]; + node = nodeIndex && parent.childNodes[ nodeIndex ]; + + while ( (node = ++nodeIndex && node && node[ dir ] || + + // Fallback to seeking `elem` from the start + (diff = nodeIndex = 0) || start.pop()) ) { + + // When found, cache indexes on `parent` and break + if ( node.nodeType === 1 && ++diff && node === elem ) { + outerCache[ type ] = [ dirruns, nodeIndex, diff ]; + break; + } + } + + // Use previously-cached element index if available + } else if ( useCache && (cache = (elem[ expando ] || (elem[ expando ] = {}))[ type ]) && cache[0] === dirruns ) { + diff = cache[1]; + + // xml :nth-child(...) or :nth-last-child(...) or :nth(-last)?-of-type(...) + } else { + // Use the same loop as above to seek `elem` from the start + while ( (node = ++nodeIndex && node && node[ dir ] || + (diff = nodeIndex = 0) || start.pop()) ) { + + if ( ( ofType ? node.nodeName.toLowerCase() === name : node.nodeType === 1 ) && ++diff ) { + // Cache the index of each encountered element + if ( useCache ) { + (node[ expando ] || (node[ expando ] = {}))[ type ] = [ dirruns, diff ]; + } + + if ( node === elem ) { + break; + } + } + } + } + + // Incorporate the offset, then check against cycle size + diff -= last; + return diff === first || ( diff % first === 0 && diff / first >= 0 ); + } + }; + }, + + "PSEUDO": function( pseudo, argument ) { + // pseudo-class names are case-insensitive + // http://www.w3.org/TR/selectors/#pseudo-classes + // Prioritize by case sensitivity in case custom pseudos are added with uppercase letters + // Remember that setFilters inherits from pseudos + var args, + fn = Expr.pseudos[ pseudo ] || Expr.setFilters[ pseudo.toLowerCase() ] || + Sizzle.error( "unsupported pseudo: " + pseudo ); + + // The user may use createPseudo to indicate that + // arguments are needed to create the filter function + // just as Sizzle does + if ( fn[ expando ] ) { + return fn( argument ); + } + + // But maintain support for old signatures + if ( fn.length > 1 ) { + args = [ pseudo, pseudo, "", argument ]; + return Expr.setFilters.hasOwnProperty( pseudo.toLowerCase() ) ? + markFunction(function( seed, matches ) { + var idx, + matched = fn( seed, argument ), + i = matched.length; + while ( i-- ) { + idx = indexOf.call( seed, matched[i] ); + seed[ idx ] = !( matches[ idx ] = matched[i] ); + } + }) : + function( elem ) { + return fn( elem, 0, args ); + }; + } + + return fn; + } + }, + + pseudos: { + // Potentially complex pseudos + "not": markFunction(function( selector ) { + // Trim the selector passed to compile + // to avoid treating leading and trailing + // spaces as combinators + var input = [], + results = [], + matcher = compile( selector.replace( rtrim, "$1" ) ); + + return matcher[ expando ] ? + markFunction(function( seed, matches, context, xml ) { + var elem, + unmatched = matcher( seed, null, xml, [] ), + i = seed.length; + + // Match elements unmatched by `matcher` + while ( i-- ) { + if ( (elem = unmatched[i]) ) { + seed[i] = !(matches[i] = elem); + } + } + }) : + function( elem, context, xml ) { + input[0] = elem; + matcher( input, null, xml, results ); + return !results.pop(); + }; + }), + + "has": markFunction(function( selector ) { + return function( elem ) { + return Sizzle( selector, elem ).length > 0; + }; + }), + + "contains": markFunction(function( text ) { + return function( elem ) { + return ( elem.textContent || elem.innerText || getText( elem ) ).indexOf( text ) > -1; + }; + }), + + // "Whether an element is represented by a :lang() selector + // is based solely on the element's language value + // being equal to the identifier C, + // or beginning with the identifier C immediately followed by "-". + // The matching of C against the element's language value is performed case-insensitively. + // The identifier C does not have to be a valid language name." + // http://www.w3.org/TR/selectors/#lang-pseudo + "lang": markFunction( function( lang ) { + // lang value must be a valid identifier + if ( !ridentifier.test(lang || "") ) { + Sizzle.error( "unsupported lang: " + lang ); + } + lang = lang.replace( runescape, funescape ).toLowerCase(); + return function( elem ) { + var elemLang; + do { + if ( (elemLang = documentIsHTML ? + elem.lang : + elem.getAttribute("xml:lang") || elem.getAttribute("lang")) ) { + + elemLang = elemLang.toLowerCase(); + return elemLang === lang || elemLang.indexOf( lang + "-" ) === 0; + } + } while ( (elem = elem.parentNode) && elem.nodeType === 1 ); + return false; + }; + }), + + // Miscellaneous + "target": function( elem ) { + var hash = window.location && window.location.hash; + return hash && hash.slice( 1 ) === elem.id; + }, + + "root": function( elem ) { + return elem === docElem; + }, + + "focus": function( elem ) { + return elem === document.activeElement && (!document.hasFocus || document.hasFocus()) && !!(elem.type || elem.href || ~elem.tabIndex); + }, + + // Boolean properties + "enabled": function( elem ) { + return elem.disabled === false; + }, + + "disabled": function( elem ) { + return elem.disabled === true; + }, + + "checked": function( elem ) { + // In CSS3, :checked should return both checked and selected elements + // http://www.w3.org/TR/2011/REC-css3-selectors-20110929/#checked + var nodeName = elem.nodeName.toLowerCase(); + return (nodeName === "input" && !!elem.checked) || (nodeName === "option" && !!elem.selected); + }, + + "selected": function( elem ) { + // Accessing this property makes selected-by-default + // options in Safari work properly + if ( elem.parentNode ) { + elem.parentNode.selectedIndex; + } + + return elem.selected === true; + }, + + // Contents + "empty": function( elem ) { + // http://www.w3.org/TR/selectors/#empty-pseudo + // :empty is negated by element (1) or content nodes (text: 3; cdata: 4; entity ref: 5), + // but not by others (comment: 8; processing instruction: 7; etc.) + // nodeType < 6 works because attributes (2) do not appear as children + for ( elem = elem.firstChild; elem; elem = elem.nextSibling ) { + if ( elem.nodeType < 6 ) { + return false; + } + } + return true; + }, + + "parent": function( elem ) { + return !Expr.pseudos["empty"]( elem ); + }, + + // Element/input types + "header": function( elem ) { + return rheader.test( elem.nodeName ); + }, + + "input": function( elem ) { + return rinputs.test( elem.nodeName ); + }, + + "button": function( elem ) { + var name = elem.nodeName.toLowerCase(); + return name === "input" && elem.type === "button" || name === "button"; + }, + + "text": function( elem ) { + var attr; + return elem.nodeName.toLowerCase() === "input" && + elem.type === "text" && + + // Support: IE<8 + // New HTML5 attribute values (e.g., "search") appear with elem.type === "text" + ( (attr = elem.getAttribute("type")) == null || attr.toLowerCase() === "text" ); + }, + + // Position-in-collection + "first": createPositionalPseudo(function() { + return [ 0 ]; + }), + + "last": createPositionalPseudo(function( matchIndexes, length ) { + return [ length - 1 ]; + }), + + "eq": createPositionalPseudo(function( matchIndexes, length, argument ) { + return [ argument < 0 ? argument + length : argument ]; + }), + + "even": createPositionalPseudo(function( matchIndexes, length ) { + var i = 0; + for ( ; i < length; i += 2 ) { + matchIndexes.push( i ); + } + return matchIndexes; + }), + + "odd": createPositionalPseudo(function( matchIndexes, length ) { + var i = 1; + for ( ; i < length; i += 2 ) { + matchIndexes.push( i ); + } + return matchIndexes; + }), + + "lt": createPositionalPseudo(function( matchIndexes, length, argument ) { + var i = argument < 0 ? argument + length : argument; + for ( ; --i >= 0; ) { + matchIndexes.push( i ); + } + return matchIndexes; + }), + + "gt": createPositionalPseudo(function( matchIndexes, length, argument ) { + var i = argument < 0 ? argument + length : argument; + for ( ; ++i < length; ) { + matchIndexes.push( i ); + } + return matchIndexes; + }) + } +}; + +Expr.pseudos["nth"] = Expr.pseudos["eq"]; + +// Add button/input type pseudos +for ( i in { radio: true, checkbox: true, file: true, password: true, image: true } ) { + Expr.pseudos[ i ] = createInputPseudo( i ); +} +for ( i in { submit: true, reset: true } ) { + Expr.pseudos[ i ] = createButtonPseudo( i ); +} + +// Easy API for creating new setFilters +function setFilters() {} +setFilters.prototype = Expr.filters = Expr.pseudos; +Expr.setFilters = new setFilters(); + +tokenize = Sizzle.tokenize = function( selector, parseOnly ) { + var matched, match, tokens, type, + soFar, groups, preFilters, + cached = tokenCache[ selector + " " ]; + + if ( cached ) { + return parseOnly ? 0 : cached.slice( 0 ); + } + + soFar = selector; + groups = []; + preFilters = Expr.preFilter; + + while ( soFar ) { + + // Comma and first run + if ( !matched || (match = rcomma.exec( soFar )) ) { + if ( match ) { + // Don't consume trailing commas as valid + soFar = soFar.slice( match[0].length ) || soFar; + } + groups.push( (tokens = []) ); + } + + matched = false; + + // Combinators + if ( (match = rcombinators.exec( soFar )) ) { + matched = match.shift(); + tokens.push({ + value: matched, + // Cast descendant combinators to space + type: match[0].replace( rtrim, " " ) + }); + soFar = soFar.slice( matched.length ); + } + + // Filters + for ( type in Expr.filter ) { + if ( (match = matchExpr[ type ].exec( soFar )) && (!preFilters[ type ] || + (match = preFilters[ type ]( match ))) ) { + matched = match.shift(); + tokens.push({ + value: matched, + type: type, + matches: match + }); + soFar = soFar.slice( matched.length ); + } + } + + if ( !matched ) { + break; + } + } + + // Return the length of the invalid excess + // if we're just parsing + // Otherwise, throw an error or return tokens + return parseOnly ? + soFar.length : + soFar ? + Sizzle.error( selector ) : + // Cache the tokens + tokenCache( selector, groups ).slice( 0 ); +}; + +function toSelector( tokens ) { + var i = 0, + len = tokens.length, + selector = ""; + for ( ; i < len; i++ ) { + selector += tokens[i].value; + } + return selector; +} + +function addCombinator( matcher, combinator, base ) { + var dir = combinator.dir, + checkNonElements = base && dir === "parentNode", + doneName = done++; + + return combinator.first ? + // Check against closest ancestor/preceding element + function( elem, context, xml ) { + while ( (elem = elem[ dir ]) ) { + if ( elem.nodeType === 1 || checkNonElements ) { + return matcher( elem, context, xml ); + } + } + } : + + // Check against all ancestor/preceding elements + function( elem, context, xml ) { + var oldCache, outerCache, + newCache = [ dirruns, doneName ]; + + // We can't set arbitrary data on XML nodes, so they don't benefit from dir caching + if ( xml ) { + while ( (elem = elem[ dir ]) ) { + if ( elem.nodeType === 1 || checkNonElements ) { + if ( matcher( elem, context, xml ) ) { + return true; + } + } + } + } else { + while ( (elem = elem[ dir ]) ) { + if ( elem.nodeType === 1 || checkNonElements ) { + outerCache = elem[ expando ] || (elem[ expando ] = {}); + if ( (oldCache = outerCache[ dir ]) && + oldCache[ 0 ] === dirruns && oldCache[ 1 ] === doneName ) { + + // Assign to newCache so results back-propagate to previous elements + return (newCache[ 2 ] = oldCache[ 2 ]); + } else { + // Reuse newcache so results back-propagate to previous elements + outerCache[ dir ] = newCache; + + // A match means we're done; a fail means we have to keep checking + if ( (newCache[ 2 ] = matcher( elem, context, xml )) ) { + return true; + } + } + } + } + } + }; +} + +function elementMatcher( matchers ) { + return matchers.length > 1 ? + function( elem, context, xml ) { + var i = matchers.length; + while ( i-- ) { + if ( !matchers[i]( elem, context, xml ) ) { + return false; + } + } + return true; + } : + matchers[0]; +} + +function multipleContexts( selector, contexts, results ) { + var i = 0, + len = contexts.length; + for ( ; i < len; i++ ) { + Sizzle( selector, contexts[i], results ); + } + return results; +} + +function condense( unmatched, map, filter, context, xml ) { + var elem, + newUnmatched = [], + i = 0, + len = unmatched.length, + mapped = map != null; + + for ( ; i < len; i++ ) { + if ( (elem = unmatched[i]) ) { + if ( !filter || filter( elem, context, xml ) ) { + newUnmatched.push( elem ); + if ( mapped ) { + map.push( i ); + } + } + } + } + + return newUnmatched; +} + +function setMatcher( preFilter, selector, matcher, postFilter, postFinder, postSelector ) { + if ( postFilter && !postFilter[ expando ] ) { + postFilter = setMatcher( postFilter ); + } + if ( postFinder && !postFinder[ expando ] ) { + postFinder = setMatcher( postFinder, postSelector ); + } + return markFunction(function( seed, results, context, xml ) { + var temp, i, elem, + preMap = [], + postMap = [], + preexisting = results.length, + + // Get initial elements from seed or context + elems = seed || multipleContexts( selector || "*", context.nodeType ? [ context ] : context, [] ), + + // Prefilter to get matcher input, preserving a map for seed-results synchronization + matcherIn = preFilter && ( seed || !selector ) ? + condense( elems, preMap, preFilter, context, xml ) : + elems, + + matcherOut = matcher ? + // If we have a postFinder, or filtered seed, or non-seed postFilter or preexisting results, + postFinder || ( seed ? preFilter : preexisting || postFilter ) ? + + // ...intermediate processing is necessary + [] : + + // ...otherwise use results directly + results : + matcherIn; + + // Find primary matches + if ( matcher ) { + matcher( matcherIn, matcherOut, context, xml ); + } + + // Apply postFilter + if ( postFilter ) { + temp = condense( matcherOut, postMap ); + postFilter( temp, [], context, xml ); + + // Un-match failing elements by moving them back to matcherIn + i = temp.length; + while ( i-- ) { + if ( (elem = temp[i]) ) { + matcherOut[ postMap[i] ] = !(matcherIn[ postMap[i] ] = elem); + } + } + } + + if ( seed ) { + if ( postFinder || preFilter ) { + if ( postFinder ) { + // Get the final matcherOut by condensing this intermediate into postFinder contexts + temp = []; + i = matcherOut.length; + while ( i-- ) { + if ( (elem = matcherOut[i]) ) { + // Restore matcherIn since elem is not yet a final match + temp.push( (matcherIn[i] = elem) ); + } + } + postFinder( null, (matcherOut = []), temp, xml ); + } + + // Move matched elements from seed to results to keep them synchronized + i = matcherOut.length; + while ( i-- ) { + if ( (elem = matcherOut[i]) && + (temp = postFinder ? indexOf.call( seed, elem ) : preMap[i]) > -1 ) { + + seed[temp] = !(results[temp] = elem); + } + } + } + + // Add elements to results, through postFinder if defined + } else { + matcherOut = condense( + matcherOut === results ? + matcherOut.splice( preexisting, matcherOut.length ) : + matcherOut + ); + if ( postFinder ) { + postFinder( null, results, matcherOut, xml ); + } else { + push.apply( results, matcherOut ); + } + } + }); +} + +function matcherFromTokens( tokens ) { + var checkContext, matcher, j, + len = tokens.length, + leadingRelative = Expr.relative[ tokens[0].type ], + implicitRelative = leadingRelative || Expr.relative[" "], + i = leadingRelative ? 1 : 0, + + // The foundational matcher ensures that elements are reachable from top-level context(s) + matchContext = addCombinator( function( elem ) { + return elem === checkContext; + }, implicitRelative, true ), + matchAnyContext = addCombinator( function( elem ) { + return indexOf.call( checkContext, elem ) > -1; + }, implicitRelative, true ), + matchers = [ function( elem, context, xml ) { + return ( !leadingRelative && ( xml || context !== outermostContext ) ) || ( + (checkContext = context).nodeType ? + matchContext( elem, context, xml ) : + matchAnyContext( elem, context, xml ) ); + } ]; + + for ( ; i < len; i++ ) { + if ( (matcher = Expr.relative[ tokens[i].type ]) ) { + matchers = [ addCombinator(elementMatcher( matchers ), matcher) ]; + } else { + matcher = Expr.filter[ tokens[i].type ].apply( null, tokens[i].matches ); + + // Return special upon seeing a positional matcher + if ( matcher[ expando ] ) { + // Find the next relative operator (if any) for proper handling + j = ++i; + for ( ; j < len; j++ ) { + if ( Expr.relative[ tokens[j].type ] ) { + break; + } + } + return setMatcher( + i > 1 && elementMatcher( matchers ), + i > 1 && toSelector( + // If the preceding token was a descendant combinator, insert an implicit any-element `*` + tokens.slice( 0, i - 1 ).concat({ value: tokens[ i - 2 ].type === " " ? "*" : "" }) + ).replace( rtrim, "$1" ), + matcher, + i < j && matcherFromTokens( tokens.slice( i, j ) ), + j < len && matcherFromTokens( (tokens = tokens.slice( j )) ), + j < len && toSelector( tokens ) + ); + } + matchers.push( matcher ); + } + } + + return elementMatcher( matchers ); +} + +function matcherFromGroupMatchers( elementMatchers, setMatchers ) { + var bySet = setMatchers.length > 0, + byElement = elementMatchers.length > 0, + superMatcher = function( seed, context, xml, results, outermost ) { + var elem, j, matcher, + matchedCount = 0, + i = "0", + unmatched = seed && [], + setMatched = [], + contextBackup = outermostContext, + // We must always have either seed elements or outermost context + elems = seed || byElement && Expr.find["TAG"]( "*", outermost ), + // Use integer dirruns iff this is the outermost matcher + dirrunsUnique = (dirruns += contextBackup == null ? 1 : Math.random() || 0.1), + len = elems.length; + + if ( outermost ) { + outermostContext = context !== document && context; + } + + // Add elements passing elementMatchers directly to results + // Keep `i` a string if there are no elements so `matchedCount` will be "00" below + // Support: IE<9, Safari + // Tolerate NodeList properties (IE: "length"; Safari: ) matching elements by id + for ( ; i !== len && (elem = elems[i]) != null; i++ ) { + if ( byElement && elem ) { + j = 0; + while ( (matcher = elementMatchers[j++]) ) { + if ( matcher( elem, context, xml ) ) { + results.push( elem ); + break; + } + } + if ( outermost ) { + dirruns = dirrunsUnique; + } + } + + // Track unmatched elements for set filters + if ( bySet ) { + // They will have gone through all possible matchers + if ( (elem = !matcher && elem) ) { + matchedCount--; + } + + // Lengthen the array for every element, matched or not + if ( seed ) { + unmatched.push( elem ); + } + } + } + + // Apply set filters to unmatched elements + matchedCount += i; + if ( bySet && i !== matchedCount ) { + j = 0; + while ( (matcher = setMatchers[j++]) ) { + matcher( unmatched, setMatched, context, xml ); + } + + if ( seed ) { + // Reintegrate element matches to eliminate the need for sorting + if ( matchedCount > 0 ) { + while ( i-- ) { + if ( !(unmatched[i] || setMatched[i]) ) { + setMatched[i] = pop.call( results ); + } + } + } + + // Discard index placeholder values to get only actual matches + setMatched = condense( setMatched ); + } + + // Add matches to results + push.apply( results, setMatched ); + + // Seedless set matches succeeding multiple successful matchers stipulate sorting + if ( outermost && !seed && setMatched.length > 0 && + ( matchedCount + setMatchers.length ) > 1 ) { + + Sizzle.uniqueSort( results ); + } + } + + // Override manipulation of globals by nested matchers + if ( outermost ) { + dirruns = dirrunsUnique; + outermostContext = contextBackup; + } + + return unmatched; + }; + + return bySet ? + markFunction( superMatcher ) : + superMatcher; +} + +compile = Sizzle.compile = function( selector, match /* Internal Use Only */ ) { + var i, + setMatchers = [], + elementMatchers = [], + cached = compilerCache[ selector + " " ]; + + if ( !cached ) { + // Generate a function of recursive functions that can be used to check each element + if ( !match ) { + match = tokenize( selector ); + } + i = match.length; + while ( i-- ) { + cached = matcherFromTokens( match[i] ); + if ( cached[ expando ] ) { + setMatchers.push( cached ); + } else { + elementMatchers.push( cached ); + } + } + + // Cache the compiled function + cached = compilerCache( selector, matcherFromGroupMatchers( elementMatchers, setMatchers ) ); + + // Save selector and tokenization + cached.selector = selector; + } + return cached; +}; + +/** + * A low-level selection function that works with Sizzle's compiled + * selector functions + * @param {String|Function} selector A selector or a pre-compiled + * selector function built with Sizzle.compile + * @param {Element} context + * @param {Array} [results] + * @param {Array} [seed] A set of elements to match against + */ +select = Sizzle.select = function( selector, context, results, seed ) { + var i, tokens, token, type, find, + compiled = typeof selector === "function" && selector, + match = !seed && tokenize( (selector = compiled.selector || selector) ); + + results = results || []; + + // Try to minimize operations if there is no seed and only one group + if ( match.length === 1 ) { + + // Take a shortcut and set the context if the root selector is an ID + tokens = match[0] = match[0].slice( 0 ); + if ( tokens.length > 2 && (token = tokens[0]).type === "ID" && + support.getById && context.nodeType === 9 && documentIsHTML && + Expr.relative[ tokens[1].type ] ) { + + context = ( Expr.find["ID"]( token.matches[0].replace(runescape, funescape), context ) || [] )[0]; + if ( !context ) { + return results; + + // Precompiled matchers will still verify ancestry, so step up a level + } else if ( compiled ) { + context = context.parentNode; + } + + selector = selector.slice( tokens.shift().value.length ); + } + + // Fetch a seed set for right-to-left matching + i = matchExpr["needsContext"].test( selector ) ? 0 : tokens.length; + while ( i-- ) { + token = tokens[i]; + + // Abort if we hit a combinator + if ( Expr.relative[ (type = token.type) ] ) { + break; + } + if ( (find = Expr.find[ type ]) ) { + // Search, expanding context for leading sibling combinators + if ( (seed = find( + token.matches[0].replace( runescape, funescape ), + rsibling.test( tokens[0].type ) && testContext( context.parentNode ) || context + )) ) { + + // If seed is empty or no tokens remain, we can return early + tokens.splice( i, 1 ); + selector = seed.length && toSelector( tokens ); + if ( !selector ) { + push.apply( results, seed ); + return results; + } + + break; + } + } + } + } + + // Compile and execute a filtering function if one is not provided + // Provide `match` to avoid retokenization if we modified the selector above + ( compiled || compile( selector, match ) )( + seed, + context, + !documentIsHTML, + results, + rsibling.test( selector ) && testContext( context.parentNode ) || context + ); + return results; +}; + +// One-time assignments + +// Sort stability +support.sortStable = expando.split("").sort( sortOrder ).join("") === expando; + +// Support: Chrome<14 +// Always assume duplicates if they aren't passed to the comparison function +support.detectDuplicates = !!hasDuplicate; + +// Initialize against the default document +setDocument(); + +// Support: Webkit<537.32 - Safari 6.0.3/Chrome 25 (fixed in Chrome 27) +// Detached nodes confoundingly follow *each other* +support.sortDetached = assert(function( div1 ) { + // Should return 1, but returns 4 (following) + return div1.compareDocumentPosition( document.createElement("div") ) & 1; +}); + +// Support: IE<8 +// Prevent attribute/property "interpolation" +// http://msdn.microsoft.com/en-us/library/ms536429%28VS.85%29.aspx +if ( !assert(function( div ) { + div.innerHTML = ""; + return div.firstChild.getAttribute("href") === "#" ; +}) ) { + addHandle( "type|href|height|width", function( elem, name, isXML ) { + if ( !isXML ) { + return elem.getAttribute( name, name.toLowerCase() === "type" ? 1 : 2 ); + } + }); +} + +// Support: IE<9 +// Use defaultValue in place of getAttribute("value") +if ( !support.attributes || !assert(function( div ) { + div.innerHTML = ""; + div.firstChild.setAttribute( "value", "" ); + return div.firstChild.getAttribute( "value" ) === ""; +}) ) { + addHandle( "value", function( elem, name, isXML ) { + if ( !isXML && elem.nodeName.toLowerCase() === "input" ) { + return elem.defaultValue; + } + }); +} + +// Support: IE<9 +// Use getAttributeNode to fetch booleans when getAttribute lies +if ( !assert(function( div ) { + return div.getAttribute("disabled") == null; +}) ) { + addHandle( booleans, function( elem, name, isXML ) { + var val; + if ( !isXML ) { + return elem[ name ] === true ? name.toLowerCase() : + (val = elem.getAttributeNode( name )) && val.specified ? + val.value : + null; + } + }); +} + +return Sizzle; + +})( window ); + + + +jQuery.find = Sizzle; +jQuery.expr = Sizzle.selectors; +jQuery.expr[":"] = jQuery.expr.pseudos; +jQuery.unique = Sizzle.uniqueSort; +jQuery.text = Sizzle.getText; +jQuery.isXMLDoc = Sizzle.isXML; +jQuery.contains = Sizzle.contains; + + + +var rneedsContext = jQuery.expr.match.needsContext; + +var rsingleTag = (/^<(\w+)\s*\/?>(?:<\/\1>|)$/); + + + +var risSimple = /^.[^:#\[\.,]*$/; + +// Implement the identical functionality for filter and not +function winnow( elements, qualifier, not ) { + if ( jQuery.isFunction( qualifier ) ) { + return jQuery.grep( elements, function( elem, i ) { + /* jshint -W018 */ + return !!qualifier.call( elem, i, elem ) !== not; + }); + + } + + if ( qualifier.nodeType ) { + return jQuery.grep( elements, function( elem ) { + return ( elem === qualifier ) !== not; + }); + + } + + if ( typeof qualifier === "string" ) { + if ( risSimple.test( qualifier ) ) { + return jQuery.filter( qualifier, elements, not ); + } + + qualifier = jQuery.filter( qualifier, elements ); + } + + return jQuery.grep( elements, function( elem ) { + return ( jQuery.inArray( elem, qualifier ) >= 0 ) !== not; + }); +} + +jQuery.filter = function( expr, elems, not ) { + var elem = elems[ 0 ]; + + if ( not ) { + expr = ":not(" + expr + ")"; + } + + return elems.length === 1 && elem.nodeType === 1 ? + jQuery.find.matchesSelector( elem, expr ) ? [ elem ] : [] : + jQuery.find.matches( expr, jQuery.grep( elems, function( elem ) { + return elem.nodeType === 1; + })); +}; + +jQuery.fn.extend({ + find: function( selector ) { + var i, + ret = [], + self = this, + len = self.length; + + if ( typeof selector !== "string" ) { + return this.pushStack( jQuery( selector ).filter(function() { + for ( i = 0; i < len; i++ ) { + if ( jQuery.contains( self[ i ], this ) ) { + return true; + } + } + }) ); + } + + for ( i = 0; i < len; i++ ) { + jQuery.find( selector, self[ i ], ret ); + } + + // Needed because $( selector, context ) becomes $( context ).find( selector ) + ret = this.pushStack( len > 1 ? jQuery.unique( ret ) : ret ); + ret.selector = this.selector ? this.selector + " " + selector : selector; + return ret; + }, + filter: function( selector ) { + return this.pushStack( winnow(this, selector || [], false) ); + }, + not: function( selector ) { + return this.pushStack( winnow(this, selector || [], true) ); + }, + is: function( selector ) { + return !!winnow( + this, + + // If this is a positional/relative selector, check membership in the returned set + // so $("p:first").is("p:last") won't return true for a doc with two "p". + typeof selector === "string" && rneedsContext.test( selector ) ? + jQuery( selector ) : + selector || [], + false + ).length; + } +}); + + +// Initialize a jQuery object + + +// A central reference to the root jQuery(document) +var rootjQuery, + + // Use the correct document accordingly with window argument (sandbox) + document = window.document, + + // A simple way to check for HTML strings + // Prioritize #id over to avoid XSS via location.hash (#9521) + // Strict HTML recognition (#11290: must start with <) + rquickExpr = /^(?:\s*(<[\w\W]+>)[^>]*|#([\w-]*))$/, + + init = jQuery.fn.init = function( selector, context ) { + var match, elem; + + // HANDLE: $(""), $(null), $(undefined), $(false) + if ( !selector ) { + return this; + } + + // Handle HTML strings + if ( typeof selector === "string" ) { + if ( selector.charAt(0) === "<" && selector.charAt( selector.length - 1 ) === ">" && selector.length >= 3 ) { + // Assume that strings that start and end with <> are HTML and skip the regex check + match = [ null, selector, null ]; + + } else { + match = rquickExpr.exec( selector ); + } + + // Match html or make sure no context is specified for #id + if ( match && (match[1] || !context) ) { + + // HANDLE: $(html) -> $(array) + if ( match[1] ) { + context = context instanceof jQuery ? context[0] : context; + + // scripts is true for back-compat + // Intentionally let the error be thrown if parseHTML is not present + jQuery.merge( this, jQuery.parseHTML( + match[1], + context && context.nodeType ? context.ownerDocument || context : document, + true + ) ); + + // HANDLE: $(html, props) + if ( rsingleTag.test( match[1] ) && jQuery.isPlainObject( context ) ) { + for ( match in context ) { + // Properties of context are called as methods if possible + if ( jQuery.isFunction( this[ match ] ) ) { + this[ match ]( context[ match ] ); + + // ...and otherwise set as attributes + } else { + this.attr( match, context[ match ] ); + } + } + } + + return this; + + // HANDLE: $(#id) + } else { + elem = document.getElementById( match[2] ); + + // Check parentNode to catch when Blackberry 4.6 returns + // nodes that are no longer in the document #6963 + if ( elem && elem.parentNode ) { + // Handle the case where IE and Opera return items + // by name instead of ID + if ( elem.id !== match[2] ) { + return rootjQuery.find( selector ); + } + + // Otherwise, we inject the element directly into the jQuery object + this.length = 1; + this[0] = elem; + } + + this.context = document; + this.selector = selector; + return this; + } + + // HANDLE: $(expr, $(...)) + } else if ( !context || context.jquery ) { + return ( context || rootjQuery ).find( selector ); + + // HANDLE: $(expr, context) + // (which is just equivalent to: $(context).find(expr) + } else { + return this.constructor( context ).find( selector ); + } + + // HANDLE: $(DOMElement) + } else if ( selector.nodeType ) { + this.context = this[0] = selector; + this.length = 1; + return this; + + // HANDLE: $(function) + // Shortcut for document ready + } else if ( jQuery.isFunction( selector ) ) { + return typeof rootjQuery.ready !== "undefined" ? + rootjQuery.ready( selector ) : + // Execute immediately if ready is not present + selector( jQuery ); + } + + if ( selector.selector !== undefined ) { + this.selector = selector.selector; + this.context = selector.context; + } + + return jQuery.makeArray( selector, this ); + }; + +// Give the init function the jQuery prototype for later instantiation +init.prototype = jQuery.fn; + +// Initialize central reference +rootjQuery = jQuery( document ); + + +var rparentsprev = /^(?:parents|prev(?:Until|All))/, + // methods guaranteed to produce a unique set when starting from a unique set + guaranteedUnique = { + children: true, + contents: true, + next: true, + prev: true + }; + +jQuery.extend({ + dir: function( elem, dir, until ) { + var matched = [], + cur = elem[ dir ]; + + while ( cur && cur.nodeType !== 9 && (until === undefined || cur.nodeType !== 1 || !jQuery( cur ).is( until )) ) { + if ( cur.nodeType === 1 ) { + matched.push( cur ); + } + cur = cur[dir]; + } + return matched; + }, + + sibling: function( n, elem ) { + var r = []; + + for ( ; n; n = n.nextSibling ) { + if ( n.nodeType === 1 && n !== elem ) { + r.push( n ); + } + } + + return r; + } +}); + +jQuery.fn.extend({ + has: function( target ) { + var i, + targets = jQuery( target, this ), + len = targets.length; + + return this.filter(function() { + for ( i = 0; i < len; i++ ) { + if ( jQuery.contains( this, targets[i] ) ) { + return true; + } + } + }); + }, + + closest: function( selectors, context ) { + var cur, + i = 0, + l = this.length, + matched = [], + pos = rneedsContext.test( selectors ) || typeof selectors !== "string" ? + jQuery( selectors, context || this.context ) : + 0; + + for ( ; i < l; i++ ) { + for ( cur = this[i]; cur && cur !== context; cur = cur.parentNode ) { + // Always skip document fragments + if ( cur.nodeType < 11 && (pos ? + pos.index(cur) > -1 : + + // Don't pass non-elements to Sizzle + cur.nodeType === 1 && + jQuery.find.matchesSelector(cur, selectors)) ) { + + matched.push( cur ); + break; + } + } + } + + return this.pushStack( matched.length > 1 ? jQuery.unique( matched ) : matched ); + }, + + // Determine the position of an element within + // the matched set of elements + index: function( elem ) { + + // No argument, return index in parent + if ( !elem ) { + return ( this[0] && this[0].parentNode ) ? this.first().prevAll().length : -1; + } + + // index in selector + if ( typeof elem === "string" ) { + return jQuery.inArray( this[0], jQuery( elem ) ); + } + + // Locate the position of the desired element + return jQuery.inArray( + // If it receives a jQuery object, the first element is used + elem.jquery ? elem[0] : elem, this ); + }, + + add: function( selector, context ) { + return this.pushStack( + jQuery.unique( + jQuery.merge( this.get(), jQuery( selector, context ) ) + ) + ); + }, + + addBack: function( selector ) { + return this.add( selector == null ? + this.prevObject : this.prevObject.filter(selector) + ); + } +}); + +function sibling( cur, dir ) { + do { + cur = cur[ dir ]; + } while ( cur && cur.nodeType !== 1 ); + + return cur; +} + +jQuery.each({ + parent: function( elem ) { + var parent = elem.parentNode; + return parent && parent.nodeType !== 11 ? parent : null; + }, + parents: function( elem ) { + return jQuery.dir( elem, "parentNode" ); + }, + parentsUntil: function( elem, i, until ) { + return jQuery.dir( elem, "parentNode", until ); + }, + next: function( elem ) { + return sibling( elem, "nextSibling" ); + }, + prev: function( elem ) { + return sibling( elem, "previousSibling" ); + }, + nextAll: function( elem ) { + return jQuery.dir( elem, "nextSibling" ); + }, + prevAll: function( elem ) { + return jQuery.dir( elem, "previousSibling" ); + }, + nextUntil: function( elem, i, until ) { + return jQuery.dir( elem, "nextSibling", until ); + }, + prevUntil: function( elem, i, until ) { + return jQuery.dir( elem, "previousSibling", until ); + }, + siblings: function( elem ) { + return jQuery.sibling( ( elem.parentNode || {} ).firstChild, elem ); + }, + children: function( elem ) { + return jQuery.sibling( elem.firstChild ); + }, + contents: function( elem ) { + return jQuery.nodeName( elem, "iframe" ) ? + elem.contentDocument || elem.contentWindow.document : + jQuery.merge( [], elem.childNodes ); + } +}, function( name, fn ) { + jQuery.fn[ name ] = function( until, selector ) { + var ret = jQuery.map( this, fn, until ); + + if ( name.slice( -5 ) !== "Until" ) { + selector = until; + } + + if ( selector && typeof selector === "string" ) { + ret = jQuery.filter( selector, ret ); + } + + if ( this.length > 1 ) { + // Remove duplicates + if ( !guaranteedUnique[ name ] ) { + ret = jQuery.unique( ret ); + } + + // Reverse order for parents* and prev-derivatives + if ( rparentsprev.test( name ) ) { + ret = ret.reverse(); + } + } + + return this.pushStack( ret ); + }; +}); +var rnotwhite = (/\S+/g); + + + +// String to Object options format cache +var optionsCache = {}; + +// Convert String-formatted options into Object-formatted ones and store in cache +function createOptions( options ) { + var object = optionsCache[ options ] = {}; + jQuery.each( options.match( rnotwhite ) || [], function( _, flag ) { + object[ flag ] = true; + }); + return object; +} + +/* + * Create a callback list using the following parameters: + * + * options: an optional list of space-separated options that will change how + * the callback list behaves or a more traditional option object + * + * By default a callback list will act like an event callback list and can be + * "fired" multiple times. + * + * Possible options: + * + * once: will ensure the callback list can only be fired once (like a Deferred) + * + * memory: will keep track of previous values and will call any callback added + * after the list has been fired right away with the latest "memorized" + * values (like a Deferred) + * + * unique: will ensure a callback can only be added once (no duplicate in the list) + * + * stopOnFalse: interrupt callings when a callback returns false + * + */ +jQuery.Callbacks = function( options ) { + + // Convert options from String-formatted to Object-formatted if needed + // (we check in cache first) + options = typeof options === "string" ? + ( optionsCache[ options ] || createOptions( options ) ) : + jQuery.extend( {}, options ); + + var // Flag to know if list is currently firing + firing, + // Last fire value (for non-forgettable lists) + memory, + // Flag to know if list was already fired + fired, + // End of the loop when firing + firingLength, + // Index of currently firing callback (modified by remove if needed) + firingIndex, + // First callback to fire (used internally by add and fireWith) + firingStart, + // Actual callback list + list = [], + // Stack of fire calls for repeatable lists + stack = !options.once && [], + // Fire callbacks + fire = function( data ) { + memory = options.memory && data; + fired = true; + firingIndex = firingStart || 0; + firingStart = 0; + firingLength = list.length; + firing = true; + for ( ; list && firingIndex < firingLength; firingIndex++ ) { + if ( list[ firingIndex ].apply( data[ 0 ], data[ 1 ] ) === false && options.stopOnFalse ) { + memory = false; // To prevent further calls using add + break; + } + } + firing = false; + if ( list ) { + if ( stack ) { + if ( stack.length ) { + fire( stack.shift() ); + } + } else if ( memory ) { + list = []; + } else { + self.disable(); + } + } + }, + // Actual Callbacks object + self = { + // Add a callback or a collection of callbacks to the list + add: function() { + if ( list ) { + // First, we save the current length + var start = list.length; + (function add( args ) { + jQuery.each( args, function( _, arg ) { + var type = jQuery.type( arg ); + if ( type === "function" ) { + if ( !options.unique || !self.has( arg ) ) { + list.push( arg ); + } + } else if ( arg && arg.length && type !== "string" ) { + // Inspect recursively + add( arg ); + } + }); + })( arguments ); + // Do we need to add the callbacks to the + // current firing batch? + if ( firing ) { + firingLength = list.length; + // With memory, if we're not firing then + // we should call right away + } else if ( memory ) { + firingStart = start; + fire( memory ); + } + } + return this; + }, + // Remove a callback from the list + remove: function() { + if ( list ) { + jQuery.each( arguments, function( _, arg ) { + var index; + while ( ( index = jQuery.inArray( arg, list, index ) ) > -1 ) { + list.splice( index, 1 ); + // Handle firing indexes + if ( firing ) { + if ( index <= firingLength ) { + firingLength--; + } + if ( index <= firingIndex ) { + firingIndex--; + } + } + } + }); + } + return this; + }, + // Check if a given callback is in the list. + // If no argument is given, return whether or not list has callbacks attached. + has: function( fn ) { + return fn ? jQuery.inArray( fn, list ) > -1 : !!( list && list.length ); + }, + // Remove all callbacks from the list + empty: function() { + list = []; + firingLength = 0; + return this; + }, + // Have the list do nothing anymore + disable: function() { + list = stack = memory = undefined; + return this; + }, + // Is it disabled? + disabled: function() { + return !list; + }, + // Lock the list in its current state + lock: function() { + stack = undefined; + if ( !memory ) { + self.disable(); + } + return this; + }, + // Is it locked? + locked: function() { + return !stack; + }, + // Call all callbacks with the given context and arguments + fireWith: function( context, args ) { + if ( list && ( !fired || stack ) ) { + args = args || []; + args = [ context, args.slice ? args.slice() : args ]; + if ( firing ) { + stack.push( args ); + } else { + fire( args ); + } + } + return this; + }, + // Call all the callbacks with the given arguments + fire: function() { + self.fireWith( this, arguments ); + return this; + }, + // To know if the callbacks have already been called at least once + fired: function() { + return !!fired; + } + }; + + return self; +}; + + +jQuery.extend({ + + Deferred: function( func ) { + var tuples = [ + // action, add listener, listener list, final state + [ "resolve", "done", jQuery.Callbacks("once memory"), "resolved" ], + [ "reject", "fail", jQuery.Callbacks("once memory"), "rejected" ], + [ "notify", "progress", jQuery.Callbacks("memory") ] + ], + state = "pending", + promise = { + state: function() { + return state; + }, + always: function() { + deferred.done( arguments ).fail( arguments ); + return this; + }, + then: function( /* fnDone, fnFail, fnProgress */ ) { + var fns = arguments; + return jQuery.Deferred(function( newDefer ) { + jQuery.each( tuples, function( i, tuple ) { + var fn = jQuery.isFunction( fns[ i ] ) && fns[ i ]; + // deferred[ done | fail | progress ] for forwarding actions to newDefer + deferred[ tuple[1] ](function() { + var returned = fn && fn.apply( this, arguments ); + if ( returned && jQuery.isFunction( returned.promise ) ) { + returned.promise() + .done( newDefer.resolve ) + .fail( newDefer.reject ) + .progress( newDefer.notify ); + } else { + newDefer[ tuple[ 0 ] + "With" ]( this === promise ? newDefer.promise() : this, fn ? [ returned ] : arguments ); + } + }); + }); + fns = null; + }).promise(); + }, + // Get a promise for this deferred + // If obj is provided, the promise aspect is added to the object + promise: function( obj ) { + return obj != null ? jQuery.extend( obj, promise ) : promise; + } + }, + deferred = {}; + + // Keep pipe for back-compat + promise.pipe = promise.then; + + // Add list-specific methods + jQuery.each( tuples, function( i, tuple ) { + var list = tuple[ 2 ], + stateString = tuple[ 3 ]; + + // promise[ done | fail | progress ] = list.add + promise[ tuple[1] ] = list.add; + + // Handle state + if ( stateString ) { + list.add(function() { + // state = [ resolved | rejected ] + state = stateString; + + // [ reject_list | resolve_list ].disable; progress_list.lock + }, tuples[ i ^ 1 ][ 2 ].disable, tuples[ 2 ][ 2 ].lock ); + } + + // deferred[ resolve | reject | notify ] + deferred[ tuple[0] ] = function() { + deferred[ tuple[0] + "With" ]( this === deferred ? promise : this, arguments ); + return this; + }; + deferred[ tuple[0] + "With" ] = list.fireWith; + }); + + // Make the deferred a promise + promise.promise( deferred ); + + // Call given func if any + if ( func ) { + func.call( deferred, deferred ); + } + + // All done! + return deferred; + }, + + // Deferred helper + when: function( subordinate /* , ..., subordinateN */ ) { + var i = 0, + resolveValues = slice.call( arguments ), + length = resolveValues.length, + + // the count of uncompleted subordinates + remaining = length !== 1 || ( subordinate && jQuery.isFunction( subordinate.promise ) ) ? length : 0, + + // the master Deferred. If resolveValues consist of only a single Deferred, just use that. + deferred = remaining === 1 ? subordinate : jQuery.Deferred(), + + // Update function for both resolve and progress values + updateFunc = function( i, contexts, values ) { + return function( value ) { + contexts[ i ] = this; + values[ i ] = arguments.length > 1 ? slice.call( arguments ) : value; + if ( values === progressValues ) { + deferred.notifyWith( contexts, values ); + + } else if ( !(--remaining) ) { + deferred.resolveWith( contexts, values ); + } + }; + }, + + progressValues, progressContexts, resolveContexts; + + // add listeners to Deferred subordinates; treat others as resolved + if ( length > 1 ) { + progressValues = new Array( length ); + progressContexts = new Array( length ); + resolveContexts = new Array( length ); + for ( ; i < length; i++ ) { + if ( resolveValues[ i ] && jQuery.isFunction( resolveValues[ i ].promise ) ) { + resolveValues[ i ].promise() + .done( updateFunc( i, resolveContexts, resolveValues ) ) + .fail( deferred.reject ) + .progress( updateFunc( i, progressContexts, progressValues ) ); + } else { + --remaining; + } + } + } + + // if we're not waiting on anything, resolve the master + if ( !remaining ) { + deferred.resolveWith( resolveContexts, resolveValues ); + } + + return deferred.promise(); + } +}); + + +// The deferred used on DOM ready +var readyList; + +jQuery.fn.ready = function( fn ) { + // Add the callback + jQuery.ready.promise().done( fn ); + + return this; +}; + +jQuery.extend({ + // Is the DOM ready to be used? Set to true once it occurs. + isReady: false, + + // A counter to track how many items to wait for before + // the ready event fires. See #6781 + readyWait: 1, + + // Hold (or release) the ready event + holdReady: function( hold ) { + if ( hold ) { + jQuery.readyWait++; + } else { + jQuery.ready( true ); + } + }, + + // Handle when the DOM is ready + ready: function( wait ) { + + // Abort if there are pending holds or we're already ready + if ( wait === true ? --jQuery.readyWait : jQuery.isReady ) { + return; + } + + // Make sure body exists, at least, in case IE gets a little overzealous (ticket #5443). + if ( !document.body ) { + return setTimeout( jQuery.ready ); + } + + // Remember that the DOM is ready + jQuery.isReady = true; + + // If a normal DOM Ready event fired, decrement, and wait if need be + if ( wait !== true && --jQuery.readyWait > 0 ) { + return; + } + + // If there are functions bound, to execute + readyList.resolveWith( document, [ jQuery ] ); + + // Trigger any bound ready events + if ( jQuery.fn.triggerHandler ) { + jQuery( document ).triggerHandler( "ready" ); + jQuery( document ).off( "ready" ); + } + } +}); + +/** + * Clean-up method for dom ready events + */ +function detach() { + if ( document.addEventListener ) { + document.removeEventListener( "DOMContentLoaded", completed, false ); + window.removeEventListener( "load", completed, false ); + + } else { + document.detachEvent( "onreadystatechange", completed ); + window.detachEvent( "onload", completed ); + } +} + +/** + * The ready event handler and self cleanup method + */ +function completed() { + // readyState === "complete" is good enough for us to call the dom ready in oldIE + if ( document.addEventListener || event.type === "load" || document.readyState === "complete" ) { + detach(); + jQuery.ready(); + } +} + +jQuery.ready.promise = function( obj ) { + if ( !readyList ) { + + readyList = jQuery.Deferred(); + + // Catch cases where $(document).ready() is called after the browser event has already occurred. + // we once tried to use readyState "interactive" here, but it caused issues like the one + // discovered by ChrisS here: http://bugs.jquery.com/ticket/12282#comment:15 + if ( document.readyState === "complete" ) { + // Handle it asynchronously to allow scripts the opportunity to delay ready + setTimeout( jQuery.ready ); + + // Standards-based browsers support DOMContentLoaded + } else if ( document.addEventListener ) { + // Use the handy event callback + document.addEventListener( "DOMContentLoaded", completed, false ); + + // A fallback to window.onload, that will always work + window.addEventListener( "load", completed, false ); + + // If IE event model is used + } else { + // Ensure firing before onload, maybe late but safe also for iframes + document.attachEvent( "onreadystatechange", completed ); + + // A fallback to window.onload, that will always work + window.attachEvent( "onload", completed ); + + // If IE and not a frame + // continually check to see if the document is ready + var top = false; + + try { + top = window.frameElement == null && document.documentElement; + } catch(e) {} + + if ( top && top.doScroll ) { + (function doScrollCheck() { + if ( !jQuery.isReady ) { + + try { + // Use the trick by Diego Perini + // http://javascript.nwbox.com/IEContentLoaded/ + top.doScroll("left"); + } catch(e) { + return setTimeout( doScrollCheck, 50 ); + } + + // detach all dom ready events + detach(); + + // and execute any waiting functions + jQuery.ready(); + } + })(); + } + } + } + return readyList.promise( obj ); +}; + + +var strundefined = typeof undefined; + + + +// Support: IE<9 +// Iteration over object's inherited properties before its own +var i; +for ( i in jQuery( support ) ) { + break; +} +support.ownLast = i !== "0"; + +// Note: most support tests are defined in their respective modules. +// false until the test is run +support.inlineBlockNeedsLayout = false; + +// Execute ASAP in case we need to set body.style.zoom +jQuery(function() { + // Minified: var a,b,c,d + var val, div, body, container; + + body = document.getElementsByTagName( "body" )[ 0 ]; + if ( !body || !body.style ) { + // Return for frameset docs that don't have a body + return; + } + + // Setup + div = document.createElement( "div" ); + container = document.createElement( "div" ); + container.style.cssText = "position:absolute;border:0;width:0;height:0;top:0;left:-9999px"; + body.appendChild( container ).appendChild( div ); + + if ( typeof div.style.zoom !== strundefined ) { + // Support: IE<8 + // Check if natively block-level elements act like inline-block + // elements when setting their display to 'inline' and giving + // them layout + div.style.cssText = "display:inline;margin:0;border:0;padding:1px;width:1px;zoom:1"; + + support.inlineBlockNeedsLayout = val = div.offsetWidth === 3; + if ( val ) { + // Prevent IE 6 from affecting layout for positioned elements #11048 + // Prevent IE from shrinking the body in IE 7 mode #12869 + // Support: IE<8 + body.style.zoom = 1; + } + } + + body.removeChild( container ); +}); + + + + +(function() { + var div = document.createElement( "div" ); + + // Execute the test only if not already executed in another module. + if (support.deleteExpando == null) { + // Support: IE<9 + support.deleteExpando = true; + try { + delete div.test; + } catch( e ) { + support.deleteExpando = false; + } + } + + // Null elements to avoid leaks in IE. + div = null; +})(); + + +/** + * Determines whether an object can have data + */ +jQuery.acceptData = function( elem ) { + var noData = jQuery.noData[ (elem.nodeName + " ").toLowerCase() ], + nodeType = +elem.nodeType || 1; + + // Do not set data on non-element DOM nodes because it will not be cleared (#8335). + return nodeType !== 1 && nodeType !== 9 ? + false : + + // Nodes accept data unless otherwise specified; rejection can be conditional + !noData || noData !== true && elem.getAttribute("classid") === noData; +}; + + +var rbrace = /^(?:\{[\w\W]*\}|\[[\w\W]*\])$/, + rmultiDash = /([A-Z])/g; + +function dataAttr( elem, key, data ) { + // If nothing was found internally, try to fetch any + // data from the HTML5 data-* attribute + if ( data === undefined && elem.nodeType === 1 ) { + + var name = "data-" + key.replace( rmultiDash, "-$1" ).toLowerCase(); + + data = elem.getAttribute( name ); + + if ( typeof data === "string" ) { + try { + data = data === "true" ? true : + data === "false" ? false : + data === "null" ? null : + // Only convert to a number if it doesn't change the string + +data + "" === data ? +data : + rbrace.test( data ) ? jQuery.parseJSON( data ) : + data; + } catch( e ) {} + + // Make sure we set the data so it isn't changed later + jQuery.data( elem, key, data ); + + } else { + data = undefined; + } + } + + return data; +} + +// checks a cache object for emptiness +function isEmptyDataObject( obj ) { + var name; + for ( name in obj ) { + + // if the public data object is empty, the private is still empty + if ( name === "data" && jQuery.isEmptyObject( obj[name] ) ) { + continue; + } + if ( name !== "toJSON" ) { + return false; + } + } + + return true; +} + +function internalData( elem, name, data, pvt /* Internal Use Only */ ) { + if ( !jQuery.acceptData( elem ) ) { + return; + } + + var ret, thisCache, + internalKey = jQuery.expando, + + // We have to handle DOM nodes and JS objects differently because IE6-7 + // can't GC object references properly across the DOM-JS boundary + isNode = elem.nodeType, + + // Only DOM nodes need the global jQuery cache; JS object data is + // attached directly to the object so GC can occur automatically + cache = isNode ? jQuery.cache : elem, + + // Only defining an ID for JS objects if its cache already exists allows + // the code to shortcut on the same path as a DOM node with no cache + id = isNode ? elem[ internalKey ] : elem[ internalKey ] && internalKey; + + // Avoid doing any more work than we need to when trying to get data on an + // object that has no data at all + if ( (!id || !cache[id] || (!pvt && !cache[id].data)) && data === undefined && typeof name === "string" ) { + return; + } + + if ( !id ) { + // Only DOM nodes need a new unique ID for each element since their data + // ends up in the global cache + if ( isNode ) { + id = elem[ internalKey ] = deletedIds.pop() || jQuery.guid++; + } else { + id = internalKey; + } + } + + if ( !cache[ id ] ) { + // Avoid exposing jQuery metadata on plain JS objects when the object + // is serialized using JSON.stringify + cache[ id ] = isNode ? {} : { toJSON: jQuery.noop }; + } + + // An object can be passed to jQuery.data instead of a key/value pair; this gets + // shallow copied over onto the existing cache + if ( typeof name === "object" || typeof name === "function" ) { + if ( pvt ) { + cache[ id ] = jQuery.extend( cache[ id ], name ); + } else { + cache[ id ].data = jQuery.extend( cache[ id ].data, name ); + } + } + + thisCache = cache[ id ]; + + // jQuery data() is stored in a separate object inside the object's internal data + // cache in order to avoid key collisions between internal data and user-defined + // data. + if ( !pvt ) { + if ( !thisCache.data ) { + thisCache.data = {}; + } + + thisCache = thisCache.data; + } + + if ( data !== undefined ) { + thisCache[ jQuery.camelCase( name ) ] = data; + } + + // Check for both converted-to-camel and non-converted data property names + // If a data property was specified + if ( typeof name === "string" ) { + + // First Try to find as-is property data + ret = thisCache[ name ]; + + // Test for null|undefined property data + if ( ret == null ) { + + // Try to find the camelCased property + ret = thisCache[ jQuery.camelCase( name ) ]; + } + } else { + ret = thisCache; + } + + return ret; +} + +function internalRemoveData( elem, name, pvt ) { + if ( !jQuery.acceptData( elem ) ) { + return; + } + + var thisCache, i, + isNode = elem.nodeType, + + // See jQuery.data for more information + cache = isNode ? jQuery.cache : elem, + id = isNode ? elem[ jQuery.expando ] : jQuery.expando; + + // If there is already no cache entry for this object, there is no + // purpose in continuing + if ( !cache[ id ] ) { + return; + } + + if ( name ) { + + thisCache = pvt ? cache[ id ] : cache[ id ].data; + + if ( thisCache ) { + + // Support array or space separated string names for data keys + if ( !jQuery.isArray( name ) ) { + + // try the string as a key before any manipulation + if ( name in thisCache ) { + name = [ name ]; + } else { + + // split the camel cased version by spaces unless a key with the spaces exists + name = jQuery.camelCase( name ); + if ( name in thisCache ) { + name = [ name ]; + } else { + name = name.split(" "); + } + } + } else { + // If "name" is an array of keys... + // When data is initially created, via ("key", "val") signature, + // keys will be converted to camelCase. + // Since there is no way to tell _how_ a key was added, remove + // both plain key and camelCase key. #12786 + // This will only penalize the array argument path. + name = name.concat( jQuery.map( name, jQuery.camelCase ) ); + } + + i = name.length; + while ( i-- ) { + delete thisCache[ name[i] ]; + } + + // If there is no data left in the cache, we want to continue + // and let the cache object itself get destroyed + if ( pvt ? !isEmptyDataObject(thisCache) : !jQuery.isEmptyObject(thisCache) ) { + return; + } + } + } + + // See jQuery.data for more information + if ( !pvt ) { + delete cache[ id ].data; + + // Don't destroy the parent cache unless the internal data object + // had been the only thing left in it + if ( !isEmptyDataObject( cache[ id ] ) ) { + return; + } + } + + // Destroy the cache + if ( isNode ) { + jQuery.cleanData( [ elem ], true ); + + // Use delete when supported for expandos or `cache` is not a window per isWindow (#10080) + /* jshint eqeqeq: false */ + } else if ( support.deleteExpando || cache != cache.window ) { + /* jshint eqeqeq: true */ + delete cache[ id ]; + + // When all else fails, null + } else { + cache[ id ] = null; + } +} + +jQuery.extend({ + cache: {}, + + // The following elements (space-suffixed to avoid Object.prototype collisions) + // throw uncatchable exceptions if you attempt to set expando properties + noData: { + "applet ": true, + "embed ": true, + // ...but Flash objects (which have this classid) *can* handle expandos + "object ": "clsid:D27CDB6E-AE6D-11cf-96B8-444553540000" + }, + + hasData: function( elem ) { + elem = elem.nodeType ? jQuery.cache[ elem[jQuery.expando] ] : elem[ jQuery.expando ]; + return !!elem && !isEmptyDataObject( elem ); + }, + + data: function( elem, name, data ) { + return internalData( elem, name, data ); + }, + + removeData: function( elem, name ) { + return internalRemoveData( elem, name ); + }, + + // For internal use only. + _data: function( elem, name, data ) { + return internalData( elem, name, data, true ); + }, + + _removeData: function( elem, name ) { + return internalRemoveData( elem, name, true ); + } +}); + +jQuery.fn.extend({ + data: function( key, value ) { + var i, name, data, + elem = this[0], + attrs = elem && elem.attributes; + + // Special expections of .data basically thwart jQuery.access, + // so implement the relevant behavior ourselves + + // Gets all values + if ( key === undefined ) { + if ( this.length ) { + data = jQuery.data( elem ); + + if ( elem.nodeType === 1 && !jQuery._data( elem, "parsedAttrs" ) ) { + i = attrs.length; + while ( i-- ) { + + // Support: IE11+ + // The attrs elements can be null (#14894) + if ( attrs[ i ] ) { + name = attrs[ i ].name; + if ( name.indexOf( "data-" ) === 0 ) { + name = jQuery.camelCase( name.slice(5) ); + dataAttr( elem, name, data[ name ] ); + } + } + } + jQuery._data( elem, "parsedAttrs", true ); + } + } + + return data; + } + + // Sets multiple values + if ( typeof key === "object" ) { + return this.each(function() { + jQuery.data( this, key ); + }); + } + + return arguments.length > 1 ? + + // Sets one value + this.each(function() { + jQuery.data( this, key, value ); + }) : + + // Gets one value + // Try to fetch any internally stored data first + elem ? dataAttr( elem, key, jQuery.data( elem, key ) ) : undefined; + }, + + removeData: function( key ) { + return this.each(function() { + jQuery.removeData( this, key ); + }); + } +}); + + +jQuery.extend({ + queue: function( elem, type, data ) { + var queue; + + if ( elem ) { + type = ( type || "fx" ) + "queue"; + queue = jQuery._data( elem, type ); + + // Speed up dequeue by getting out quickly if this is just a lookup + if ( data ) { + if ( !queue || jQuery.isArray(data) ) { + queue = jQuery._data( elem, type, jQuery.makeArray(data) ); + } else { + queue.push( data ); + } + } + return queue || []; + } + }, + + dequeue: function( elem, type ) { + type = type || "fx"; + + var queue = jQuery.queue( elem, type ), + startLength = queue.length, + fn = queue.shift(), + hooks = jQuery._queueHooks( elem, type ), + next = function() { + jQuery.dequeue( elem, type ); + }; + + // If the fx queue is dequeued, always remove the progress sentinel + if ( fn === "inprogress" ) { + fn = queue.shift(); + startLength--; + } + + if ( fn ) { + + // Add a progress sentinel to prevent the fx queue from being + // automatically dequeued + if ( type === "fx" ) { + queue.unshift( "inprogress" ); + } + + // clear up the last queue stop function + delete hooks.stop; + fn.call( elem, next, hooks ); + } + + if ( !startLength && hooks ) { + hooks.empty.fire(); + } + }, + + // not intended for public consumption - generates a queueHooks object, or returns the current one + _queueHooks: function( elem, type ) { + var key = type + "queueHooks"; + return jQuery._data( elem, key ) || jQuery._data( elem, key, { + empty: jQuery.Callbacks("once memory").add(function() { + jQuery._removeData( elem, type + "queue" ); + jQuery._removeData( elem, key ); + }) + }); + } +}); + +jQuery.fn.extend({ + queue: function( type, data ) { + var setter = 2; + + if ( typeof type !== "string" ) { + data = type; + type = "fx"; + setter--; + } + + if ( arguments.length < setter ) { + return jQuery.queue( this[0], type ); + } + + return data === undefined ? + this : + this.each(function() { + var queue = jQuery.queue( this, type, data ); + + // ensure a hooks for this queue + jQuery._queueHooks( this, type ); + + if ( type === "fx" && queue[0] !== "inprogress" ) { + jQuery.dequeue( this, type ); + } + }); + }, + dequeue: function( type ) { + return this.each(function() { + jQuery.dequeue( this, type ); + }); + }, + clearQueue: function( type ) { + return this.queue( type || "fx", [] ); + }, + // Get a promise resolved when queues of a certain type + // are emptied (fx is the type by default) + promise: function( type, obj ) { + var tmp, + count = 1, + defer = jQuery.Deferred(), + elements = this, + i = this.length, + resolve = function() { + if ( !( --count ) ) { + defer.resolveWith( elements, [ elements ] ); + } + }; + + if ( typeof type !== "string" ) { + obj = type; + type = undefined; + } + type = type || "fx"; + + while ( i-- ) { + tmp = jQuery._data( elements[ i ], type + "queueHooks" ); + if ( tmp && tmp.empty ) { + count++; + tmp.empty.add( resolve ); + } + } + resolve(); + return defer.promise( obj ); + } +}); +var pnum = (/[+-]?(?:\d*\.|)\d+(?:[eE][+-]?\d+|)/).source; + +var cssExpand = [ "Top", "Right", "Bottom", "Left" ]; + +var isHidden = function( elem, el ) { + // isHidden might be called from jQuery#filter function; + // in that case, element will be second argument + elem = el || elem; + return jQuery.css( elem, "display" ) === "none" || !jQuery.contains( elem.ownerDocument, elem ); + }; + + + +// Multifunctional method to get and set values of a collection +// The value/s can optionally be executed if it's a function +var access = jQuery.access = function( elems, fn, key, value, chainable, emptyGet, raw ) { + var i = 0, + length = elems.length, + bulk = key == null; + + // Sets many values + if ( jQuery.type( key ) === "object" ) { + chainable = true; + for ( i in key ) { + jQuery.access( elems, fn, i, key[i], true, emptyGet, raw ); + } + + // Sets one value + } else if ( value !== undefined ) { + chainable = true; + + if ( !jQuery.isFunction( value ) ) { + raw = true; + } + + if ( bulk ) { + // Bulk operations run against the entire set + if ( raw ) { + fn.call( elems, value ); + fn = null; + + // ...except when executing function values + } else { + bulk = fn; + fn = function( elem, key, value ) { + return bulk.call( jQuery( elem ), value ); + }; + } + } + + if ( fn ) { + for ( ; i < length; i++ ) { + fn( elems[i], key, raw ? value : value.call( elems[i], i, fn( elems[i], key ) ) ); + } + } + } + + return chainable ? + elems : + + // Gets + bulk ? + fn.call( elems ) : + length ? fn( elems[0], key ) : emptyGet; +}; +var rcheckableType = (/^(?:checkbox|radio)$/i); + + + +(function() { + // Minified: var a,b,c + var input = document.createElement( "input" ), + div = document.createElement( "div" ), + fragment = document.createDocumentFragment(); + + // Setup + div.innerHTML = "
    a"; + + // IE strips leading whitespace when .innerHTML is used + support.leadingWhitespace = div.firstChild.nodeType === 3; + + // Make sure that tbody elements aren't automatically inserted + // IE will insert them into empty tables + support.tbody = !div.getElementsByTagName( "tbody" ).length; + + // Make sure that link elements get serialized correctly by innerHTML + // This requires a wrapper element in IE + support.htmlSerialize = !!div.getElementsByTagName( "link" ).length; + + // Makes sure cloning an html5 element does not cause problems + // Where outerHTML is undefined, this still works + support.html5Clone = + document.createElement( "nav" ).cloneNode( true ).outerHTML !== "<:nav>"; + + // Check if a disconnected checkbox will retain its checked + // value of true after appended to the DOM (IE6/7) + input.type = "checkbox"; + input.checked = true; + fragment.appendChild( input ); + support.appendChecked = input.checked; + + // Make sure textarea (and checkbox) defaultValue is properly cloned + // Support: IE6-IE11+ + div.innerHTML = ""; + support.noCloneChecked = !!div.cloneNode( true ).lastChild.defaultValue; + + // #11217 - WebKit loses check when the name is after the checked attribute + fragment.appendChild( div ); + div.innerHTML = ""; + + // Support: Safari 5.1, iOS 5.1, Android 4.x, Android 2.3 + // old WebKit doesn't clone checked state correctly in fragments + support.checkClone = div.cloneNode( true ).cloneNode( true ).lastChild.checked; + + // Support: IE<9 + // Opera does not clone events (and typeof div.attachEvent === undefined). + // IE9-10 clones events bound via attachEvent, but they don't trigger with .click() + support.noCloneEvent = true; + if ( div.attachEvent ) { + div.attachEvent( "onclick", function() { + support.noCloneEvent = false; + }); + + div.cloneNode( true ).click(); + } + + // Execute the test only if not already executed in another module. + if (support.deleteExpando == null) { + // Support: IE<9 + support.deleteExpando = true; + try { + delete div.test; + } catch( e ) { + support.deleteExpando = false; + } + } +})(); + + +(function() { + var i, eventName, + div = document.createElement( "div" ); + + // Support: IE<9 (lack submit/change bubble), Firefox 23+ (lack focusin event) + for ( i in { submit: true, change: true, focusin: true }) { + eventName = "on" + i; + + if ( !(support[ i + "Bubbles" ] = eventName in window) ) { + // Beware of CSP restrictions (https://developer.mozilla.org/en/Security/CSP) + div.setAttribute( eventName, "t" ); + support[ i + "Bubbles" ] = div.attributes[ eventName ].expando === false; + } + } + + // Null elements to avoid leaks in IE. + div = null; +})(); + + +var rformElems = /^(?:input|select|textarea)$/i, + rkeyEvent = /^key/, + rmouseEvent = /^(?:mouse|pointer|contextmenu)|click/, + rfocusMorph = /^(?:focusinfocus|focusoutblur)$/, + rtypenamespace = /^([^.]*)(?:\.(.+)|)$/; + +function returnTrue() { + return true; +} + +function returnFalse() { + return false; +} + +function safeActiveElement() { + try { + return document.activeElement; + } catch ( err ) { } +} + +/* + * Helper functions for managing events -- not part of the public interface. + * Props to Dean Edwards' addEvent library for many of the ideas. + */ +jQuery.event = { + + global: {}, + + add: function( elem, types, handler, data, selector ) { + var tmp, events, t, handleObjIn, + special, eventHandle, handleObj, + handlers, type, namespaces, origType, + elemData = jQuery._data( elem ); + + // Don't attach events to noData or text/comment nodes (but allow plain objects) + if ( !elemData ) { + return; + } + + // Caller can pass in an object of custom data in lieu of the handler + if ( handler.handler ) { + handleObjIn = handler; + handler = handleObjIn.handler; + selector = handleObjIn.selector; + } + + // Make sure that the handler has a unique ID, used to find/remove it later + if ( !handler.guid ) { + handler.guid = jQuery.guid++; + } + + // Init the element's event structure and main handler, if this is the first + if ( !(events = elemData.events) ) { + events = elemData.events = {}; + } + if ( !(eventHandle = elemData.handle) ) { + eventHandle = elemData.handle = function( e ) { + // Discard the second event of a jQuery.event.trigger() and + // when an event is called after a page has unloaded + return typeof jQuery !== strundefined && (!e || jQuery.event.triggered !== e.type) ? + jQuery.event.dispatch.apply( eventHandle.elem, arguments ) : + undefined; + }; + // Add elem as a property of the handle fn to prevent a memory leak with IE non-native events + eventHandle.elem = elem; + } + + // Handle multiple events separated by a space + types = ( types || "" ).match( rnotwhite ) || [ "" ]; + t = types.length; + while ( t-- ) { + tmp = rtypenamespace.exec( types[t] ) || []; + type = origType = tmp[1]; + namespaces = ( tmp[2] || "" ).split( "." ).sort(); + + // There *must* be a type, no attaching namespace-only handlers + if ( !type ) { + continue; + } + + // If event changes its type, use the special event handlers for the changed type + special = jQuery.event.special[ type ] || {}; + + // If selector defined, determine special event api type, otherwise given type + type = ( selector ? special.delegateType : special.bindType ) || type; + + // Update special based on newly reset type + special = jQuery.event.special[ type ] || {}; + + // handleObj is passed to all event handlers + handleObj = jQuery.extend({ + type: type, + origType: origType, + data: data, + handler: handler, + guid: handler.guid, + selector: selector, + needsContext: selector && jQuery.expr.match.needsContext.test( selector ), + namespace: namespaces.join(".") + }, handleObjIn ); + + // Init the event handler queue if we're the first + if ( !(handlers = events[ type ]) ) { + handlers = events[ type ] = []; + handlers.delegateCount = 0; + + // Only use addEventListener/attachEvent if the special events handler returns false + if ( !special.setup || special.setup.call( elem, data, namespaces, eventHandle ) === false ) { + // Bind the global event handler to the element + if ( elem.addEventListener ) { + elem.addEventListener( type, eventHandle, false ); + + } else if ( elem.attachEvent ) { + elem.attachEvent( "on" + type, eventHandle ); + } + } + } + + if ( special.add ) { + special.add.call( elem, handleObj ); + + if ( !handleObj.handler.guid ) { + handleObj.handler.guid = handler.guid; + } + } + + // Add to the element's handler list, delegates in front + if ( selector ) { + handlers.splice( handlers.delegateCount++, 0, handleObj ); + } else { + handlers.push( handleObj ); + } + + // Keep track of which events have ever been used, for event optimization + jQuery.event.global[ type ] = true; + } + + // Nullify elem to prevent memory leaks in IE + elem = null; + }, + + // Detach an event or set of events from an element + remove: function( elem, types, handler, selector, mappedTypes ) { + var j, handleObj, tmp, + origCount, t, events, + special, handlers, type, + namespaces, origType, + elemData = jQuery.hasData( elem ) && jQuery._data( elem ); + + if ( !elemData || !(events = elemData.events) ) { + return; + } + + // Once for each type.namespace in types; type may be omitted + types = ( types || "" ).match( rnotwhite ) || [ "" ]; + t = types.length; + while ( t-- ) { + tmp = rtypenamespace.exec( types[t] ) || []; + type = origType = tmp[1]; + namespaces = ( tmp[2] || "" ).split( "." ).sort(); + + // Unbind all events (on this namespace, if provided) for the element + if ( !type ) { + for ( type in events ) { + jQuery.event.remove( elem, type + types[ t ], handler, selector, true ); + } + continue; + } + + special = jQuery.event.special[ type ] || {}; + type = ( selector ? special.delegateType : special.bindType ) || type; + handlers = events[ type ] || []; + tmp = tmp[2] && new RegExp( "(^|\\.)" + namespaces.join("\\.(?:.*\\.|)") + "(\\.|$)" ); + + // Remove matching events + origCount = j = handlers.length; + while ( j-- ) { + handleObj = handlers[ j ]; + + if ( ( mappedTypes || origType === handleObj.origType ) && + ( !handler || handler.guid === handleObj.guid ) && + ( !tmp || tmp.test( handleObj.namespace ) ) && + ( !selector || selector === handleObj.selector || selector === "**" && handleObj.selector ) ) { + handlers.splice( j, 1 ); + + if ( handleObj.selector ) { + handlers.delegateCount--; + } + if ( special.remove ) { + special.remove.call( elem, handleObj ); + } + } + } + + // Remove generic event handler if we removed something and no more handlers exist + // (avoids potential for endless recursion during removal of special event handlers) + if ( origCount && !handlers.length ) { + if ( !special.teardown || special.teardown.call( elem, namespaces, elemData.handle ) === false ) { + jQuery.removeEvent( elem, type, elemData.handle ); + } + + delete events[ type ]; + } + } + + // Remove the expando if it's no longer used + if ( jQuery.isEmptyObject( events ) ) { + delete elemData.handle; + + // removeData also checks for emptiness and clears the expando if empty + // so use it instead of delete + jQuery._removeData( elem, "events" ); + } + }, + + trigger: function( event, data, elem, onlyHandlers ) { + var handle, ontype, cur, + bubbleType, special, tmp, i, + eventPath = [ elem || document ], + type = hasOwn.call( event, "type" ) ? event.type : event, + namespaces = hasOwn.call( event, "namespace" ) ? event.namespace.split(".") : []; + + cur = tmp = elem = elem || document; + + // Don't do events on text and comment nodes + if ( elem.nodeType === 3 || elem.nodeType === 8 ) { + return; + } + + // focus/blur morphs to focusin/out; ensure we're not firing them right now + if ( rfocusMorph.test( type + jQuery.event.triggered ) ) { + return; + } + + if ( type.indexOf(".") >= 0 ) { + // Namespaced trigger; create a regexp to match event type in handle() + namespaces = type.split("."); + type = namespaces.shift(); + namespaces.sort(); + } + ontype = type.indexOf(":") < 0 && "on" + type; + + // Caller can pass in a jQuery.Event object, Object, or just an event type string + event = event[ jQuery.expando ] ? + event : + new jQuery.Event( type, typeof event === "object" && event ); + + // Trigger bitmask: & 1 for native handlers; & 2 for jQuery (always true) + event.isTrigger = onlyHandlers ? 2 : 3; + event.namespace = namespaces.join("."); + event.namespace_re = event.namespace ? + new RegExp( "(^|\\.)" + namespaces.join("\\.(?:.*\\.|)") + "(\\.|$)" ) : + null; + + // Clean up the event in case it is being reused + event.result = undefined; + if ( !event.target ) { + event.target = elem; + } + + // Clone any incoming data and prepend the event, creating the handler arg list + data = data == null ? + [ event ] : + jQuery.makeArray( data, [ event ] ); + + // Allow special events to draw outside the lines + special = jQuery.event.special[ type ] || {}; + if ( !onlyHandlers && special.trigger && special.trigger.apply( elem, data ) === false ) { + return; + } + + // Determine event propagation path in advance, per W3C events spec (#9951) + // Bubble up to document, then to window; watch for a global ownerDocument var (#9724) + if ( !onlyHandlers && !special.noBubble && !jQuery.isWindow( elem ) ) { + + bubbleType = special.delegateType || type; + if ( !rfocusMorph.test( bubbleType + type ) ) { + cur = cur.parentNode; + } + for ( ; cur; cur = cur.parentNode ) { + eventPath.push( cur ); + tmp = cur; + } + + // Only add window if we got to document (e.g., not plain obj or detached DOM) + if ( tmp === (elem.ownerDocument || document) ) { + eventPath.push( tmp.defaultView || tmp.parentWindow || window ); + } + } + + // Fire handlers on the event path + i = 0; + while ( (cur = eventPath[i++]) && !event.isPropagationStopped() ) { + + event.type = i > 1 ? + bubbleType : + special.bindType || type; + + // jQuery handler + handle = ( jQuery._data( cur, "events" ) || {} )[ event.type ] && jQuery._data( cur, "handle" ); + if ( handle ) { + handle.apply( cur, data ); + } + + // Native handler + handle = ontype && cur[ ontype ]; + if ( handle && handle.apply && jQuery.acceptData( cur ) ) { + event.result = handle.apply( cur, data ); + if ( event.result === false ) { + event.preventDefault(); + } + } + } + event.type = type; + + // If nobody prevented the default action, do it now + if ( !onlyHandlers && !event.isDefaultPrevented() ) { + + if ( (!special._default || special._default.apply( eventPath.pop(), data ) === false) && + jQuery.acceptData( elem ) ) { + + // Call a native DOM method on the target with the same name name as the event. + // Can't use an .isFunction() check here because IE6/7 fails that test. + // Don't do default actions on window, that's where global variables be (#6170) + if ( ontype && elem[ type ] && !jQuery.isWindow( elem ) ) { + + // Don't re-trigger an onFOO event when we call its FOO() method + tmp = elem[ ontype ]; + + if ( tmp ) { + elem[ ontype ] = null; + } + + // Prevent re-triggering of the same event, since we already bubbled it above + jQuery.event.triggered = type; + try { + elem[ type ](); + } catch ( e ) { + // IE<9 dies on focus/blur to hidden element (#1486,#12518) + // only reproducible on winXP IE8 native, not IE9 in IE8 mode + } + jQuery.event.triggered = undefined; + + if ( tmp ) { + elem[ ontype ] = tmp; + } + } + } + } + + return event.result; + }, + + dispatch: function( event ) { + + // Make a writable jQuery.Event from the native event object + event = jQuery.event.fix( event ); + + var i, ret, handleObj, matched, j, + handlerQueue = [], + args = slice.call( arguments ), + handlers = ( jQuery._data( this, "events" ) || {} )[ event.type ] || [], + special = jQuery.event.special[ event.type ] || {}; + + // Use the fix-ed jQuery.Event rather than the (read-only) native event + args[0] = event; + event.delegateTarget = this; + + // Call the preDispatch hook for the mapped type, and let it bail if desired + if ( special.preDispatch && special.preDispatch.call( this, event ) === false ) { + return; + } + + // Determine handlers + handlerQueue = jQuery.event.handlers.call( this, event, handlers ); + + // Run delegates first; they may want to stop propagation beneath us + i = 0; + while ( (matched = handlerQueue[ i++ ]) && !event.isPropagationStopped() ) { + event.currentTarget = matched.elem; + + j = 0; + while ( (handleObj = matched.handlers[ j++ ]) && !event.isImmediatePropagationStopped() ) { + + // Triggered event must either 1) have no namespace, or + // 2) have namespace(s) a subset or equal to those in the bound event (both can have no namespace). + if ( !event.namespace_re || event.namespace_re.test( handleObj.namespace ) ) { + + event.handleObj = handleObj; + event.data = handleObj.data; + + ret = ( (jQuery.event.special[ handleObj.origType ] || {}).handle || handleObj.handler ) + .apply( matched.elem, args ); + + if ( ret !== undefined ) { + if ( (event.result = ret) === false ) { + event.preventDefault(); + event.stopPropagation(); + } + } + } + } + } + + // Call the postDispatch hook for the mapped type + if ( special.postDispatch ) { + special.postDispatch.call( this, event ); + } + + return event.result; + }, + + handlers: function( event, handlers ) { + var sel, handleObj, matches, i, + handlerQueue = [], + delegateCount = handlers.delegateCount, + cur = event.target; + + // Find delegate handlers + // Black-hole SVG instance trees (#13180) + // Avoid non-left-click bubbling in Firefox (#3861) + if ( delegateCount && cur.nodeType && (!event.button || event.type !== "click") ) { + + /* jshint eqeqeq: false */ + for ( ; cur != this; cur = cur.parentNode || this ) { + /* jshint eqeqeq: true */ + + // Don't check non-elements (#13208) + // Don't process clicks on disabled elements (#6911, #8165, #11382, #11764) + if ( cur.nodeType === 1 && (cur.disabled !== true || event.type !== "click") ) { + matches = []; + for ( i = 0; i < delegateCount; i++ ) { + handleObj = handlers[ i ]; + + // Don't conflict with Object.prototype properties (#13203) + sel = handleObj.selector + " "; + + if ( matches[ sel ] === undefined ) { + matches[ sel ] = handleObj.needsContext ? + jQuery( sel, this ).index( cur ) >= 0 : + jQuery.find( sel, this, null, [ cur ] ).length; + } + if ( matches[ sel ] ) { + matches.push( handleObj ); + } + } + if ( matches.length ) { + handlerQueue.push({ elem: cur, handlers: matches }); + } + } + } + } + + // Add the remaining (directly-bound) handlers + if ( delegateCount < handlers.length ) { + handlerQueue.push({ elem: this, handlers: handlers.slice( delegateCount ) }); + } + + return handlerQueue; + }, + + fix: function( event ) { + if ( event[ jQuery.expando ] ) { + return event; + } + + // Create a writable copy of the event object and normalize some properties + var i, prop, copy, + type = event.type, + originalEvent = event, + fixHook = this.fixHooks[ type ]; + + if ( !fixHook ) { + this.fixHooks[ type ] = fixHook = + rmouseEvent.test( type ) ? this.mouseHooks : + rkeyEvent.test( type ) ? this.keyHooks : + {}; + } + copy = fixHook.props ? this.props.concat( fixHook.props ) : this.props; + + event = new jQuery.Event( originalEvent ); + + i = copy.length; + while ( i-- ) { + prop = copy[ i ]; + event[ prop ] = originalEvent[ prop ]; + } + + // Support: IE<9 + // Fix target property (#1925) + if ( !event.target ) { + event.target = originalEvent.srcElement || document; + } + + // Support: Chrome 23+, Safari? + // Target should not be a text node (#504, #13143) + if ( event.target.nodeType === 3 ) { + event.target = event.target.parentNode; + } + + // Support: IE<9 + // For mouse/key events, metaKey==false if it's undefined (#3368, #11328) + event.metaKey = !!event.metaKey; + + return fixHook.filter ? fixHook.filter( event, originalEvent ) : event; + }, + + // Includes some event props shared by KeyEvent and MouseEvent + props: "altKey bubbles cancelable ctrlKey currentTarget eventPhase metaKey relatedTarget shiftKey target timeStamp view which".split(" "), + + fixHooks: {}, + + keyHooks: { + props: "char charCode key keyCode".split(" "), + filter: function( event, original ) { + + // Add which for key events + if ( event.which == null ) { + event.which = original.charCode != null ? original.charCode : original.keyCode; + } + + return event; + } + }, + + mouseHooks: { + props: "button buttons clientX clientY fromElement offsetX offsetY pageX pageY screenX screenY toElement".split(" "), + filter: function( event, original ) { + var body, eventDoc, doc, + button = original.button, + fromElement = original.fromElement; + + // Calculate pageX/Y if missing and clientX/Y available + if ( event.pageX == null && original.clientX != null ) { + eventDoc = event.target.ownerDocument || document; + doc = eventDoc.documentElement; + body = eventDoc.body; + + event.pageX = original.clientX + ( doc && doc.scrollLeft || body && body.scrollLeft || 0 ) - ( doc && doc.clientLeft || body && body.clientLeft || 0 ); + event.pageY = original.clientY + ( doc && doc.scrollTop || body && body.scrollTop || 0 ) - ( doc && doc.clientTop || body && body.clientTop || 0 ); + } + + // Add relatedTarget, if necessary + if ( !event.relatedTarget && fromElement ) { + event.relatedTarget = fromElement === event.target ? original.toElement : fromElement; + } + + // Add which for click: 1 === left; 2 === middle; 3 === right + // Note: button is not normalized, so don't use it + if ( !event.which && button !== undefined ) { + event.which = ( button & 1 ? 1 : ( button & 2 ? 3 : ( button & 4 ? 2 : 0 ) ) ); + } + + return event; + } + }, + + special: { + load: { + // Prevent triggered image.load events from bubbling to window.load + noBubble: true + }, + focus: { + // Fire native event if possible so blur/focus sequence is correct + trigger: function() { + if ( this !== safeActiveElement() && this.focus ) { + try { + this.focus(); + return false; + } catch ( e ) { + // Support: IE<9 + // If we error on focus to hidden element (#1486, #12518), + // let .trigger() run the handlers + } + } + }, + delegateType: "focusin" + }, + blur: { + trigger: function() { + if ( this === safeActiveElement() && this.blur ) { + this.blur(); + return false; + } + }, + delegateType: "focusout" + }, + click: { + // For checkbox, fire native event so checked state will be right + trigger: function() { + if ( jQuery.nodeName( this, "input" ) && this.type === "checkbox" && this.click ) { + this.click(); + return false; + } + }, + + // For cross-browser consistency, don't fire native .click() on links + _default: function( event ) { + return jQuery.nodeName( event.target, "a" ); + } + }, + + beforeunload: { + postDispatch: function( event ) { + + // Support: Firefox 20+ + // Firefox doesn't alert if the returnValue field is not set. + if ( event.result !== undefined && event.originalEvent ) { + event.originalEvent.returnValue = event.result; + } + } + } + }, + + simulate: function( type, elem, event, bubble ) { + // Piggyback on a donor event to simulate a different one. + // Fake originalEvent to avoid donor's stopPropagation, but if the + // simulated event prevents default then we do the same on the donor. + var e = jQuery.extend( + new jQuery.Event(), + event, + { + type: type, + isSimulated: true, + originalEvent: {} + } + ); + if ( bubble ) { + jQuery.event.trigger( e, null, elem ); + } else { + jQuery.event.dispatch.call( elem, e ); + } + if ( e.isDefaultPrevented() ) { + event.preventDefault(); + } + } +}; + +jQuery.removeEvent = document.removeEventListener ? + function( elem, type, handle ) { + if ( elem.removeEventListener ) { + elem.removeEventListener( type, handle, false ); + } + } : + function( elem, type, handle ) { + var name = "on" + type; + + if ( elem.detachEvent ) { + + // #8545, #7054, preventing memory leaks for custom events in IE6-8 + // detachEvent needed property on element, by name of that event, to properly expose it to GC + if ( typeof elem[ name ] === strundefined ) { + elem[ name ] = null; + } + + elem.detachEvent( name, handle ); + } + }; + +jQuery.Event = function( src, props ) { + // Allow instantiation without the 'new' keyword + if ( !(this instanceof jQuery.Event) ) { + return new jQuery.Event( src, props ); + } + + // Event object + if ( src && src.type ) { + this.originalEvent = src; + this.type = src.type; + + // Events bubbling up the document may have been marked as prevented + // by a handler lower down the tree; reflect the correct value. + this.isDefaultPrevented = src.defaultPrevented || + src.defaultPrevented === undefined && + // Support: IE < 9, Android < 4.0 + src.returnValue === false ? + returnTrue : + returnFalse; + + // Event type + } else { + this.type = src; + } + + // Put explicitly provided properties onto the event object + if ( props ) { + jQuery.extend( this, props ); + } + + // Create a timestamp if incoming event doesn't have one + this.timeStamp = src && src.timeStamp || jQuery.now(); + + // Mark it as fixed + this[ jQuery.expando ] = true; +}; + +// jQuery.Event is based on DOM3 Events as specified by the ECMAScript Language Binding +// http://www.w3.org/TR/2003/WD-DOM-Level-3-Events-20030331/ecma-script-binding.html +jQuery.Event.prototype = { + isDefaultPrevented: returnFalse, + isPropagationStopped: returnFalse, + isImmediatePropagationStopped: returnFalse, + + preventDefault: function() { + var e = this.originalEvent; + + this.isDefaultPrevented = returnTrue; + if ( !e ) { + return; + } + + // If preventDefault exists, run it on the original event + if ( e.preventDefault ) { + e.preventDefault(); + + // Support: IE + // Otherwise set the returnValue property of the original event to false + } else { + e.returnValue = false; + } + }, + stopPropagation: function() { + var e = this.originalEvent; + + this.isPropagationStopped = returnTrue; + if ( !e ) { + return; + } + // If stopPropagation exists, run it on the original event + if ( e.stopPropagation ) { + e.stopPropagation(); + } + + // Support: IE + // Set the cancelBubble property of the original event to true + e.cancelBubble = true; + }, + stopImmediatePropagation: function() { + var e = this.originalEvent; + + this.isImmediatePropagationStopped = returnTrue; + + if ( e && e.stopImmediatePropagation ) { + e.stopImmediatePropagation(); + } + + this.stopPropagation(); + } +}; + +// Create mouseenter/leave events using mouseover/out and event-time checks +jQuery.each({ + mouseenter: "mouseover", + mouseleave: "mouseout", + pointerenter: "pointerover", + pointerleave: "pointerout" +}, function( orig, fix ) { + jQuery.event.special[ orig ] = { + delegateType: fix, + bindType: fix, + + handle: function( event ) { + var ret, + target = this, + related = event.relatedTarget, + handleObj = event.handleObj; + + // For mousenter/leave call the handler if related is outside the target. + // NB: No relatedTarget if the mouse left/entered the browser window + if ( !related || (related !== target && !jQuery.contains( target, related )) ) { + event.type = handleObj.origType; + ret = handleObj.handler.apply( this, arguments ); + event.type = fix; + } + return ret; + } + }; +}); + +// IE submit delegation +if ( !support.submitBubbles ) { + + jQuery.event.special.submit = { + setup: function() { + // Only need this for delegated form submit events + if ( jQuery.nodeName( this, "form" ) ) { + return false; + } + + // Lazy-add a submit handler when a descendant form may potentially be submitted + jQuery.event.add( this, "click._submit keypress._submit", function( e ) { + // Node name check avoids a VML-related crash in IE (#9807) + var elem = e.target, + form = jQuery.nodeName( elem, "input" ) || jQuery.nodeName( elem, "button" ) ? elem.form : undefined; + if ( form && !jQuery._data( form, "submitBubbles" ) ) { + jQuery.event.add( form, "submit._submit", function( event ) { + event._submit_bubble = true; + }); + jQuery._data( form, "submitBubbles", true ); + } + }); + // return undefined since we don't need an event listener + }, + + postDispatch: function( event ) { + // If form was submitted by the user, bubble the event up the tree + if ( event._submit_bubble ) { + delete event._submit_bubble; + if ( this.parentNode && !event.isTrigger ) { + jQuery.event.simulate( "submit", this.parentNode, event, true ); + } + } + }, + + teardown: function() { + // Only need this for delegated form submit events + if ( jQuery.nodeName( this, "form" ) ) { + return false; + } + + // Remove delegated handlers; cleanData eventually reaps submit handlers attached above + jQuery.event.remove( this, "._submit" ); + } + }; +} + +// IE change delegation and checkbox/radio fix +if ( !support.changeBubbles ) { + + jQuery.event.special.change = { + + setup: function() { + + if ( rformElems.test( this.nodeName ) ) { + // IE doesn't fire change on a check/radio until blur; trigger it on click + // after a propertychange. Eat the blur-change in special.change.handle. + // This still fires onchange a second time for check/radio after blur. + if ( this.type === "checkbox" || this.type === "radio" ) { + jQuery.event.add( this, "propertychange._change", function( event ) { + if ( event.originalEvent.propertyName === "checked" ) { + this._just_changed = true; + } + }); + jQuery.event.add( this, "click._change", function( event ) { + if ( this._just_changed && !event.isTrigger ) { + this._just_changed = false; + } + // Allow triggered, simulated change events (#11500) + jQuery.event.simulate( "change", this, event, true ); + }); + } + return false; + } + // Delegated event; lazy-add a change handler on descendant inputs + jQuery.event.add( this, "beforeactivate._change", function( e ) { + var elem = e.target; + + if ( rformElems.test( elem.nodeName ) && !jQuery._data( elem, "changeBubbles" ) ) { + jQuery.event.add( elem, "change._change", function( event ) { + if ( this.parentNode && !event.isSimulated && !event.isTrigger ) { + jQuery.event.simulate( "change", this.parentNode, event, true ); + } + }); + jQuery._data( elem, "changeBubbles", true ); + } + }); + }, + + handle: function( event ) { + var elem = event.target; + + // Swallow native change events from checkbox/radio, we already triggered them above + if ( this !== elem || event.isSimulated || event.isTrigger || (elem.type !== "radio" && elem.type !== "checkbox") ) { + return event.handleObj.handler.apply( this, arguments ); + } + }, + + teardown: function() { + jQuery.event.remove( this, "._change" ); + + return !rformElems.test( this.nodeName ); + } + }; +} + +// Create "bubbling" focus and blur events +if ( !support.focusinBubbles ) { + jQuery.each({ focus: "focusin", blur: "focusout" }, function( orig, fix ) { + + // Attach a single capturing handler on the document while someone wants focusin/focusout + var handler = function( event ) { + jQuery.event.simulate( fix, event.target, jQuery.event.fix( event ), true ); + }; + + jQuery.event.special[ fix ] = { + setup: function() { + var doc = this.ownerDocument || this, + attaches = jQuery._data( doc, fix ); + + if ( !attaches ) { + doc.addEventListener( orig, handler, true ); + } + jQuery._data( doc, fix, ( attaches || 0 ) + 1 ); + }, + teardown: function() { + var doc = this.ownerDocument || this, + attaches = jQuery._data( doc, fix ) - 1; + + if ( !attaches ) { + doc.removeEventListener( orig, handler, true ); + jQuery._removeData( doc, fix ); + } else { + jQuery._data( doc, fix, attaches ); + } + } + }; + }); +} + +jQuery.fn.extend({ + + on: function( types, selector, data, fn, /*INTERNAL*/ one ) { + var type, origFn; + + // Types can be a map of types/handlers + if ( typeof types === "object" ) { + // ( types-Object, selector, data ) + if ( typeof selector !== "string" ) { + // ( types-Object, data ) + data = data || selector; + selector = undefined; + } + for ( type in types ) { + this.on( type, selector, data, types[ type ], one ); + } + return this; + } + + if ( data == null && fn == null ) { + // ( types, fn ) + fn = selector; + data = selector = undefined; + } else if ( fn == null ) { + if ( typeof selector === "string" ) { + // ( types, selector, fn ) + fn = data; + data = undefined; + } else { + // ( types, data, fn ) + fn = data; + data = selector; + selector = undefined; + } + } + if ( fn === false ) { + fn = returnFalse; + } else if ( !fn ) { + return this; + } + + if ( one === 1 ) { + origFn = fn; + fn = function( event ) { + // Can use an empty set, since event contains the info + jQuery().off( event ); + return origFn.apply( this, arguments ); + }; + // Use same guid so caller can remove using origFn + fn.guid = origFn.guid || ( origFn.guid = jQuery.guid++ ); + } + return this.each( function() { + jQuery.event.add( this, types, fn, data, selector ); + }); + }, + one: function( types, selector, data, fn ) { + return this.on( types, selector, data, fn, 1 ); + }, + off: function( types, selector, fn ) { + var handleObj, type; + if ( types && types.preventDefault && types.handleObj ) { + // ( event ) dispatched jQuery.Event + handleObj = types.handleObj; + jQuery( types.delegateTarget ).off( + handleObj.namespace ? handleObj.origType + "." + handleObj.namespace : handleObj.origType, + handleObj.selector, + handleObj.handler + ); + return this; + } + if ( typeof types === "object" ) { + // ( types-object [, selector] ) + for ( type in types ) { + this.off( type, selector, types[ type ] ); + } + return this; + } + if ( selector === false || typeof selector === "function" ) { + // ( types [, fn] ) + fn = selector; + selector = undefined; + } + if ( fn === false ) { + fn = returnFalse; + } + return this.each(function() { + jQuery.event.remove( this, types, fn, selector ); + }); + }, + + trigger: function( type, data ) { + return this.each(function() { + jQuery.event.trigger( type, data, this ); + }); + }, + triggerHandler: function( type, data ) { + var elem = this[0]; + if ( elem ) { + return jQuery.event.trigger( type, data, elem, true ); + } + } +}); + + +function createSafeFragment( document ) { + var list = nodeNames.split( "|" ), + safeFrag = document.createDocumentFragment(); + + if ( safeFrag.createElement ) { + while ( list.length ) { + safeFrag.createElement( + list.pop() + ); + } + } + return safeFrag; +} + +var nodeNames = "abbr|article|aside|audio|bdi|canvas|data|datalist|details|figcaption|figure|footer|" + + "header|hgroup|mark|meter|nav|output|progress|section|summary|time|video", + rinlinejQuery = / jQuery\d+="(?:null|\d+)"/g, + rnoshimcache = new RegExp("<(?:" + nodeNames + ")[\\s/>]", "i"), + rleadingWhitespace = /^\s+/, + rxhtmlTag = /<(?!area|br|col|embed|hr|img|input|link|meta|param)(([\w:]+)[^>]*)\/>/gi, + rtagName = /<([\w:]+)/, + rtbody = /\s*$/g, + + // We have to close these tags to support XHTML (#13200) + wrapMap = { + option: [ 1, "" ], + legend: [ 1, "
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    " ], + + // IE6-8 can't serialize link, script, style, or any html5 (NoScope) tags, + // unless wrapped in a div with non-breaking characters in front of it. + _default: support.htmlSerialize ? [ 0, "", "" ] : [ 1, "X
    ", "
    " ] + }, + safeFragment = createSafeFragment( document ), + fragmentDiv = safeFragment.appendChild( document.createElement("div") ); + +wrapMap.optgroup = wrapMap.option; +wrapMap.tbody = wrapMap.tfoot = wrapMap.colgroup = wrapMap.caption = wrapMap.thead; +wrapMap.th = wrapMap.td; + +function getAll( context, tag ) { + var elems, elem, + i = 0, + found = typeof context.getElementsByTagName !== strundefined ? context.getElementsByTagName( tag || "*" ) : + typeof context.querySelectorAll !== strundefined ? context.querySelectorAll( tag || "*" ) : + undefined; + + if ( !found ) { + for ( found = [], elems = context.childNodes || context; (elem = elems[i]) != null; i++ ) { + if ( !tag || jQuery.nodeName( elem, tag ) ) { + found.push( elem ); + } else { + jQuery.merge( found, getAll( elem, tag ) ); + } + } + } + + return tag === undefined || tag && jQuery.nodeName( context, tag ) ? + jQuery.merge( [ context ], found ) : + found; +} + +// Used in buildFragment, fixes the defaultChecked property +function fixDefaultChecked( elem ) { + if ( rcheckableType.test( elem.type ) ) { + elem.defaultChecked = elem.checked; + } +} + +// Support: IE<8 +// Manipulating tables requires a tbody +function manipulationTarget( elem, content ) { + return jQuery.nodeName( elem, "table" ) && + jQuery.nodeName( content.nodeType !== 11 ? content : content.firstChild, "tr" ) ? + + elem.getElementsByTagName("tbody")[0] || + elem.appendChild( elem.ownerDocument.createElement("tbody") ) : + elem; +} + +// Replace/restore the type attribute of script elements for safe DOM manipulation +function disableScript( elem ) { + elem.type = (jQuery.find.attr( elem, "type" ) !== null) + "/" + elem.type; + return elem; +} +function restoreScript( elem ) { + var match = rscriptTypeMasked.exec( elem.type ); + if ( match ) { + elem.type = match[1]; + } else { + elem.removeAttribute("type"); + } + return elem; +} + +// Mark scripts as having already been evaluated +function setGlobalEval( elems, refElements ) { + var elem, + i = 0; + for ( ; (elem = elems[i]) != null; i++ ) { + jQuery._data( elem, "globalEval", !refElements || jQuery._data( refElements[i], "globalEval" ) ); + } +} + +function cloneCopyEvent( src, dest ) { + + if ( dest.nodeType !== 1 || !jQuery.hasData( src ) ) { + return; + } + + var type, i, l, + oldData = jQuery._data( src ), + curData = jQuery._data( dest, oldData ), + events = oldData.events; + + if ( events ) { + delete curData.handle; + curData.events = {}; + + for ( type in events ) { + for ( i = 0, l = events[ type ].length; i < l; i++ ) { + jQuery.event.add( dest, type, events[ type ][ i ] ); + } + } + } + + // make the cloned public data object a copy from the original + if ( curData.data ) { + curData.data = jQuery.extend( {}, curData.data ); + } +} + +function fixCloneNodeIssues( src, dest ) { + var nodeName, e, data; + + // We do not need to do anything for non-Elements + if ( dest.nodeType !== 1 ) { + return; + } + + nodeName = dest.nodeName.toLowerCase(); + + // IE6-8 copies events bound via attachEvent when using cloneNode. + if ( !support.noCloneEvent && dest[ jQuery.expando ] ) { + data = jQuery._data( dest ); + + for ( e in data.events ) { + jQuery.removeEvent( dest, e, data.handle ); + } + + // Event data gets referenced instead of copied if the expando gets copied too + dest.removeAttribute( jQuery.expando ); + } + + // IE blanks contents when cloning scripts, and tries to evaluate newly-set text + if ( nodeName === "script" && dest.text !== src.text ) { + disableScript( dest ).text = src.text; + restoreScript( dest ); + + // IE6-10 improperly clones children of object elements using classid. + // IE10 throws NoModificationAllowedError if parent is null, #12132. + } else if ( nodeName === "object" ) { + if ( dest.parentNode ) { + dest.outerHTML = src.outerHTML; + } + + // This path appears unavoidable for IE9. When cloning an object + // element in IE9, the outerHTML strategy above is not sufficient. + // If the src has innerHTML and the destination does not, + // copy the src.innerHTML into the dest.innerHTML. #10324 + if ( support.html5Clone && ( src.innerHTML && !jQuery.trim(dest.innerHTML) ) ) { + dest.innerHTML = src.innerHTML; + } + + } else if ( nodeName === "input" && rcheckableType.test( src.type ) ) { + // IE6-8 fails to persist the checked state of a cloned checkbox + // or radio button. Worse, IE6-7 fail to give the cloned element + // a checked appearance if the defaultChecked value isn't also set + + dest.defaultChecked = dest.checked = src.checked; + + // IE6-7 get confused and end up setting the value of a cloned + // checkbox/radio button to an empty string instead of "on" + if ( dest.value !== src.value ) { + dest.value = src.value; + } + + // IE6-8 fails to return the selected option to the default selected + // state when cloning options + } else if ( nodeName === "option" ) { + dest.defaultSelected = dest.selected = src.defaultSelected; + + // IE6-8 fails to set the defaultValue to the correct value when + // cloning other types of input fields + } else if ( nodeName === "input" || nodeName === "textarea" ) { + dest.defaultValue = src.defaultValue; + } +} + +jQuery.extend({ + clone: function( elem, dataAndEvents, deepDataAndEvents ) { + var destElements, node, clone, i, srcElements, + inPage = jQuery.contains( elem.ownerDocument, elem ); + + if ( support.html5Clone || jQuery.isXMLDoc(elem) || !rnoshimcache.test( "<" + elem.nodeName + ">" ) ) { + clone = elem.cloneNode( true ); + + // IE<=8 does not properly clone detached, unknown element nodes + } else { + fragmentDiv.innerHTML = elem.outerHTML; + fragmentDiv.removeChild( clone = fragmentDiv.firstChild ); + } + + if ( (!support.noCloneEvent || !support.noCloneChecked) && + (elem.nodeType === 1 || elem.nodeType === 11) && !jQuery.isXMLDoc(elem) ) { + + // We eschew Sizzle here for performance reasons: http://jsperf.com/getall-vs-sizzle/2 + destElements = getAll( clone ); + srcElements = getAll( elem ); + + // Fix all IE cloning issues + for ( i = 0; (node = srcElements[i]) != null; ++i ) { + // Ensure that the destination node is not null; Fixes #9587 + if ( destElements[i] ) { + fixCloneNodeIssues( node, destElements[i] ); + } + } + } + + // Copy the events from the original to the clone + if ( dataAndEvents ) { + if ( deepDataAndEvents ) { + srcElements = srcElements || getAll( elem ); + destElements = destElements || getAll( clone ); + + for ( i = 0; (node = srcElements[i]) != null; i++ ) { + cloneCopyEvent( node, destElements[i] ); + } + } else { + cloneCopyEvent( elem, clone ); + } + } + + // Preserve script evaluation history + destElements = getAll( clone, "script" ); + if ( destElements.length > 0 ) { + setGlobalEval( destElements, !inPage && getAll( elem, "script" ) ); + } + + destElements = srcElements = node = null; + + // Return the cloned set + return clone; + }, + + buildFragment: function( elems, context, scripts, selection ) { + var j, elem, contains, + tmp, tag, tbody, wrap, + l = elems.length, + + // Ensure a safe fragment + safe = createSafeFragment( context ), + + nodes = [], + i = 0; + + for ( ; i < l; i++ ) { + elem = elems[ i ]; + + if ( elem || elem === 0 ) { + + // Add nodes directly + if ( jQuery.type( elem ) === "object" ) { + jQuery.merge( nodes, elem.nodeType ? [ elem ] : elem ); + + // Convert non-html into a text node + } else if ( !rhtml.test( elem ) ) { + nodes.push( context.createTextNode( elem ) ); + + // Convert html into DOM nodes + } else { + tmp = tmp || safe.appendChild( context.createElement("div") ); + + // Deserialize a standard representation + tag = (rtagName.exec( elem ) || [ "", "" ])[ 1 ].toLowerCase(); + wrap = wrapMap[ tag ] || wrapMap._default; + + tmp.innerHTML = wrap[1] + elem.replace( rxhtmlTag, "<$1>" ) + wrap[2]; + + // Descend through wrappers to the right content + j = wrap[0]; + while ( j-- ) { + tmp = tmp.lastChild; + } + + // Manually add leading whitespace removed by IE + if ( !support.leadingWhitespace && rleadingWhitespace.test( elem ) ) { + nodes.push( context.createTextNode( rleadingWhitespace.exec( elem )[0] ) ); + } + + // Remove IE's autoinserted from table fragments + if ( !support.tbody ) { + + // String was a , *may* have spurious + elem = tag === "table" && !rtbody.test( elem ) ? + tmp.firstChild : + + // String was a bare or + wrap[1] === "
    " && !rtbody.test( elem ) ? + tmp : + 0; + + j = elem && elem.childNodes.length; + while ( j-- ) { + if ( jQuery.nodeName( (tbody = elem.childNodes[j]), "tbody" ) && !tbody.childNodes.length ) { + elem.removeChild( tbody ); + } + } + } + + jQuery.merge( nodes, tmp.childNodes ); + + // Fix #12392 for WebKit and IE > 9 + tmp.textContent = ""; + + // Fix #12392 for oldIE + while ( tmp.firstChild ) { + tmp.removeChild( tmp.firstChild ); + } + + // Remember the top-level container for proper cleanup + tmp = safe.lastChild; + } + } + } + + // Fix #11356: Clear elements from fragment + if ( tmp ) { + safe.removeChild( tmp ); + } + + // Reset defaultChecked for any radios and checkboxes + // about to be appended to the DOM in IE 6/7 (#8060) + if ( !support.appendChecked ) { + jQuery.grep( getAll( nodes, "input" ), fixDefaultChecked ); + } + + i = 0; + while ( (elem = nodes[ i++ ]) ) { + + // #4087 - If origin and destination elements are the same, and this is + // that element, do not do anything + if ( selection && jQuery.inArray( elem, selection ) !== -1 ) { + continue; + } + + contains = jQuery.contains( elem.ownerDocument, elem ); + + // Append to fragment + tmp = getAll( safe.appendChild( elem ), "script" ); + + // Preserve script evaluation history + if ( contains ) { + setGlobalEval( tmp ); + } + + // Capture executables + if ( scripts ) { + j = 0; + while ( (elem = tmp[ j++ ]) ) { + if ( rscriptType.test( elem.type || "" ) ) { + scripts.push( elem ); + } + } + } + } + + tmp = null; + + return safe; + }, + + cleanData: function( elems, /* internal */ acceptData ) { + var elem, type, id, data, + i = 0, + internalKey = jQuery.expando, + cache = jQuery.cache, + deleteExpando = support.deleteExpando, + special = jQuery.event.special; + + for ( ; (elem = elems[i]) != null; i++ ) { + if ( acceptData || jQuery.acceptData( elem ) ) { + + id = elem[ internalKey ]; + data = id && cache[ id ]; + + if ( data ) { + if ( data.events ) { + for ( type in data.events ) { + if ( special[ type ] ) { + jQuery.event.remove( elem, type ); + + // This is a shortcut to avoid jQuery.event.remove's overhead + } else { + jQuery.removeEvent( elem, type, data.handle ); + } + } + } + + // Remove cache only if it was not already removed by jQuery.event.remove + if ( cache[ id ] ) { + + delete cache[ id ]; + + // IE does not allow us to delete expando properties from nodes, + // nor does it have a removeAttribute function on Document nodes; + // we must handle all of these cases + if ( deleteExpando ) { + delete elem[ internalKey ]; + + } else if ( typeof elem.removeAttribute !== strundefined ) { + elem.removeAttribute( internalKey ); + + } else { + elem[ internalKey ] = null; + } + + deletedIds.push( id ); + } + } + } + } + } +}); + +jQuery.fn.extend({ + text: function( value ) { + return access( this, function( value ) { + return value === undefined ? + jQuery.text( this ) : + this.empty().append( ( this[0] && this[0].ownerDocument || document ).createTextNode( value ) ); + }, null, value, arguments.length ); + }, + + append: function() { + return this.domManip( arguments, function( elem ) { + if ( this.nodeType === 1 || this.nodeType === 11 || this.nodeType === 9 ) { + var target = manipulationTarget( this, elem ); + target.appendChild( elem ); + } + }); + }, + + prepend: function() { + return this.domManip( arguments, function( elem ) { + if ( this.nodeType === 1 || this.nodeType === 11 || this.nodeType === 9 ) { + var target = manipulationTarget( this, elem ); + target.insertBefore( elem, target.firstChild ); + } + }); + }, + + before: function() { + return this.domManip( arguments, function( elem ) { + if ( this.parentNode ) { + this.parentNode.insertBefore( elem, this ); + } + }); + }, + + after: function() { + return this.domManip( arguments, function( elem ) { + if ( this.parentNode ) { + this.parentNode.insertBefore( elem, this.nextSibling ); + } + }); + }, + + remove: function( selector, keepData /* Internal Use Only */ ) { + var elem, + elems = selector ? jQuery.filter( selector, this ) : this, + i = 0; + + for ( ; (elem = elems[i]) != null; i++ ) { + + if ( !keepData && elem.nodeType === 1 ) { + jQuery.cleanData( getAll( elem ) ); + } + + if ( elem.parentNode ) { + if ( keepData && jQuery.contains( elem.ownerDocument, elem ) ) { + setGlobalEval( getAll( elem, "script" ) ); + } + elem.parentNode.removeChild( elem ); + } + } + + return this; + }, + + empty: function() { + var elem, + i = 0; + + for ( ; (elem = this[i]) != null; i++ ) { + // Remove element nodes and prevent memory leaks + if ( elem.nodeType === 1 ) { + jQuery.cleanData( getAll( elem, false ) ); + } + + // Remove any remaining nodes + while ( elem.firstChild ) { + elem.removeChild( elem.firstChild ); + } + + // If this is a select, ensure that it displays empty (#12336) + // Support: IE<9 + if ( elem.options && jQuery.nodeName( elem, "select" ) ) { + elem.options.length = 0; + } + } + + return this; + }, + + clone: function( dataAndEvents, deepDataAndEvents ) { + dataAndEvents = dataAndEvents == null ? false : dataAndEvents; + deepDataAndEvents = deepDataAndEvents == null ? dataAndEvents : deepDataAndEvents; + + return this.map(function() { + return jQuery.clone( this, dataAndEvents, deepDataAndEvents ); + }); + }, + + html: function( value ) { + return access( this, function( value ) { + var elem = this[ 0 ] || {}, + i = 0, + l = this.length; + + if ( value === undefined ) { + return elem.nodeType === 1 ? + elem.innerHTML.replace( rinlinejQuery, "" ) : + undefined; + } + + // See if we can take a shortcut and just use innerHTML + if ( typeof value === "string" && !rnoInnerhtml.test( value ) && + ( support.htmlSerialize || !rnoshimcache.test( value ) ) && + ( support.leadingWhitespace || !rleadingWhitespace.test( value ) ) && + !wrapMap[ (rtagName.exec( value ) || [ "", "" ])[ 1 ].toLowerCase() ] ) { + + value = value.replace( rxhtmlTag, "<$1>" ); + + try { + for (; i < l; i++ ) { + // Remove element nodes and prevent memory leaks + elem = this[i] || {}; + if ( elem.nodeType === 1 ) { + jQuery.cleanData( getAll( elem, false ) ); + elem.innerHTML = value; + } + } + + elem = 0; + + // If using innerHTML throws an exception, use the fallback method + } catch(e) {} + } + + if ( elem ) { + this.empty().append( value ); + } + }, null, value, arguments.length ); + }, + + replaceWith: function() { + var arg = arguments[ 0 ]; + + // Make the changes, replacing each context element with the new content + this.domManip( arguments, function( elem ) { + arg = this.parentNode; + + jQuery.cleanData( getAll( this ) ); + + if ( arg ) { + arg.replaceChild( elem, this ); + } + }); + + // Force removal if there was no new content (e.g., from empty arguments) + return arg && (arg.length || arg.nodeType) ? this : this.remove(); + }, + + detach: function( selector ) { + return this.remove( selector, true ); + }, + + domManip: function( args, callback ) { + + // Flatten any nested arrays + args = concat.apply( [], args ); + + var first, node, hasScripts, + scripts, doc, fragment, + i = 0, + l = this.length, + set = this, + iNoClone = l - 1, + value = args[0], + isFunction = jQuery.isFunction( value ); + + // We can't cloneNode fragments that contain checked, in WebKit + if ( isFunction || + ( l > 1 && typeof value === "string" && + !support.checkClone && rchecked.test( value ) ) ) { + return this.each(function( index ) { + var self = set.eq( index ); + if ( isFunction ) { + args[0] = value.call( this, index, self.html() ); + } + self.domManip( args, callback ); + }); + } + + if ( l ) { + fragment = jQuery.buildFragment( args, this[ 0 ].ownerDocument, false, this ); + first = fragment.firstChild; + + if ( fragment.childNodes.length === 1 ) { + fragment = first; + } + + if ( first ) { + scripts = jQuery.map( getAll( fragment, "script" ), disableScript ); + hasScripts = scripts.length; + + // Use the original fragment for the last item instead of the first because it can end up + // being emptied incorrectly in certain situations (#8070). + for ( ; i < l; i++ ) { + node = fragment; + + if ( i !== iNoClone ) { + node = jQuery.clone( node, true, true ); + + // Keep references to cloned scripts for later restoration + if ( hasScripts ) { + jQuery.merge( scripts, getAll( node, "script" ) ); + } + } + + callback.call( this[i], node, i ); + } + + if ( hasScripts ) { + doc = scripts[ scripts.length - 1 ].ownerDocument; + + // Reenable scripts + jQuery.map( scripts, restoreScript ); + + // Evaluate executable scripts on first document insertion + for ( i = 0; i < hasScripts; i++ ) { + node = scripts[ i ]; + if ( rscriptType.test( node.type || "" ) && + !jQuery._data( node, "globalEval" ) && jQuery.contains( doc, node ) ) { + + if ( node.src ) { + // Optional AJAX dependency, but won't run scripts if not present + if ( jQuery._evalUrl ) { + jQuery._evalUrl( node.src ); + } + } else { + jQuery.globalEval( ( node.text || node.textContent || node.innerHTML || "" ).replace( rcleanScript, "" ) ); + } + } + } + } + + // Fix #11809: Avoid leaking memory + fragment = first = null; + } + } + + return this; + } +}); + +jQuery.each({ + appendTo: "append", + prependTo: "prepend", + insertBefore: "before", + insertAfter: "after", + replaceAll: "replaceWith" +}, function( name, original ) { + jQuery.fn[ name ] = function( selector ) { + var elems, + i = 0, + ret = [], + insert = jQuery( selector ), + last = insert.length - 1; + + for ( ; i <= last; i++ ) { + elems = i === last ? this : this.clone(true); + jQuery( insert[i] )[ original ]( elems ); + + // Modern browsers can apply jQuery collections as arrays, but oldIE needs a .get() + push.apply( ret, elems.get() ); + } + + return this.pushStack( ret ); + }; +}); + + +var iframe, + elemdisplay = {}; + +/** + * Retrieve the actual display of a element + * @param {String} name nodeName of the element + * @param {Object} doc Document object + */ +// Called only from within defaultDisplay +function actualDisplay( name, doc ) { + var style, + elem = jQuery( doc.createElement( name ) ).appendTo( doc.body ), + + // getDefaultComputedStyle might be reliably used only on attached element + display = window.getDefaultComputedStyle && ( style = window.getDefaultComputedStyle( elem[ 0 ] ) ) ? + + // Use of this method is a temporary fix (more like optmization) until something better comes along, + // since it was removed from specification and supported only in FF + style.display : jQuery.css( elem[ 0 ], "display" ); + + // We don't have any data stored on the element, + // so use "detach" method as fast way to get rid of the element + elem.detach(); + + return display; +} + +/** + * Try to determine the default display value of an element + * @param {String} nodeName + */ +function defaultDisplay( nodeName ) { + var doc = document, + display = elemdisplay[ nodeName ]; + + if ( !display ) { + display = actualDisplay( nodeName, doc ); + + // If the simple way fails, read from inside an iframe + if ( display === "none" || !display ) { + + // Use the already-created iframe if possible + iframe = (iframe || jQuery( "

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The default base directory is +=nicaea_2.7 . + +If the necessary libraries are found on the system, the python module +pynicaea is also installed. + +The code can be tested with:: + + ctest -vv + +To run the demo programs (see below), go to nicaea_2.7/par_files . + +Option 2: using make.:: + + cd Demo + make + +If fftw3 and gsl are not installed in a standard directory (e.g. /usr, +/usr/local), set the variables 'FFTW' and 'GSL' in the Makefile. The header +file fftw3.h is looked for in $(FFTW)/include and libfftw3.a in $(FFTW)/lib. +The gsl header files are looked for in $(GSL)/include, the libraries libgsl.a +and libgslcblas.a in $(GSL)/lib. + +Various demo programs can be run in ./Demo, see below. + +Run the demo programs +--------------------- + +The demo programs need parameter files in the working directory, which can be +found in par_files. + ++------------------------+--------------+-----------------------------------------------------------------------+ +| Program name | Category | Functionality | ++========================+==============+=======================================================================+ +| lensingdemo | Weak lensing | density- and lensing power spectrum, lensing second-order functions | ++------------------------+--------------+-----------------------------------------------------------------------+ +| sn1demo | SNIa | Luminosity distance, distance module | ++------------------------+--------------+-----------------------------------------------------------------------+ +| halomodeldemo | Halo model | Power spectrum | ++------------------------+--------------+-----------------------------------------------------------------------+ +| cmb_bao_demo | CMB, BAO | geometrical quantities, e.g. sound horizon, angular diameter distance | ++------------------------+--------------+-----------------------------------------------------------------------+ +| decomp_eb_demo | Weak lensing | E-/B-mode decomposition (generaalized ring statistic) | ++------------------------+--------------+-----------------------------------------------------------------------+ +| cosebi_demo | Weak lensing | E-/B-mode decomposition (COSEBIs) | ++------------------------+--------------+-----------------------------------------------------------------------+ +| third_order_demo | Weak lensing | Third-order aperture-mass moments | ++------------------------+--------------+-----------------------------------------------------------------------+ + + +Main functions +============== + +The main functions listed below have as some of their parameters:: + + model: cosmo_lens* structure (see Sect. 4) + Lensing and cosmological paramaters and pre-computed tables + theta, THETA_MIN, THETA_MAX, Psimin, Psimax: double + Angular scale [rad] + R: double[3] + Array of angular scale tripes + i_bin, j_bin, k_bin: int + Redshift bin indices + err: error* (see Sect. 4) + Error structure + n: integer + COSEBIs mode. + path: string + Path to COSEBIs files with zeros for given Psimin and Psimax. Default + is */path/to/nicaea/par_files/COSEBIs/*. + B_cosebi: double* + On output, B_mode is written to this pointer if non zero. + aa: array of doubles + Pre-calculated array of coefficients, see decomp_eb.c. + N: integer + Polynomial order, default 6 + poly: poly_t enumeration type + Polyonmial type, default *cheby2* + wfilter: filter_t enumeration + Aperture-mass filter type, see lensing_3rd.h, default *fgauss*. + a: double + Scale factor, max(0.01,1/(1+zmax))<=a<1.0 + k: double + 3d Fourier wave-mode in h/Mpc + s: double + 2d Fourier wave-mode, 1e-2<=ell<=1e6 + ell: integer + 2D harmonic mode, ell>=2 + + +The value of the corresponding two- and three-point function is returned as +double. + +Second-order shear statistics +----------------------------- + +The following functions are not defined if sprojection==full. + +Two-point correlation function xi+ (pm=0) and xi- (pm=1) at angular scale theta [rad]:: + + xi(model, pm, theta, i_bin, j_bin, err) + +Top-hat shear variance in a circle of radius theta [rad]:: + + gamma2(model, theta, i_bin, j_bin, err) + +Aperture-mass variance, polynomial filter:: + + map2_poly(model, theta, i_bin, j_bin, err) + +Aperture-mass variance, Gaussian filter:: + + map2_gauss(model, theta, i_bin, j_bin, err) + +COSEBIs (Complete Orthogonal E-/B-mode Integrals), :cite:`COSEBIs`:: + + E_cosebi(model, n, Psimin, Psimax, i_bin, j_bin, path, B_cosebi, err) + +'Ring' statistics, with Chebyshev-filter function decomposition, see :cite:`FK10`:: + + RR(model, THETA_MIN, THETA_MAX, aa, N, poly, pm, err) + + +Third-order shear statistics +---------------------------- + +Third-order aperture-mass generalized moment, :cite:`SKL05`:: + + map3(model, R, i_bin, i_bin, k_bin, wfilter, err) + + +Power spectra +------------- + +3d power spectrum of delta:: + + P_NL(model, a, k, err) + +2d shear power spectrum: Pshear or Pshear+Pg^(1) if reduced-shear correction is +switched on with key "sreduced = K10" in cosmo_lens.par parameter file. +Returns error if sprojection==full:: + + Pshear(model, s, i_bin, j_bin, err) + +2d shear power spectrum Pshear for integer ell. Computes full spherical +projection for sprojection==full (Kilbinger et al. 2017). Calls Pshear for +other cases of sprojection:: + + Pshear_spherical(model, ell, i_bin, j_bin, err) + +2d reduced-shear correction power spectrum Pg^(1), see Kilbinger (2010). The +totel (reduced-shear) power spectrum is Pkappa + Pg1:: + + Pg1(model, s, i_bin, j_bin, err) + +Ranges +------ + +The range for k is unlimited except for the coyote10 and coyote13 non-linear emulators. +For k<3.3e-6 h/Mpc and k>333 h/Mpc, the +power spectrum is extrapolated (see below). The limits can be changed +in cosmo.h. + +The reduced-shear correction fits are accurate to 2% beetween ell=0.1 and 2*10^5. Outside +that range, Pg^(1) return zero. + +The range for theta is very, very large, it is determined +in the routine xi_via_hankel. Although the Hankel transform is +accurate only on a much smaller interval, the range of acceptable +results is still from sub-arcseconds to a couple of degrees. + +The limited range of the reduced-shear correction reflects in a smaller valid angular range +of xi+ and xi-. If the reduced-shear is switched on, the ranges within which the second-order +functions are affected to small fractions of a percent are: + ++---------------+---------------+---------------+ +| Function | Minimum scale | Maximum scale | ++===============+===============+===============+ +| xi+ | 0.1' | 1000' | ++---------------+---------------+---------------+ +| xi- | 0.5' | 1000' | ++---------------+---------------+---------------+ +| mapsqr | 0.2' | 1000' | ++---------------+---------------+---------------+ +| gammasqr | 0.1' | 1000' | ++---------------+---------------+---------------+ +| mapsqr_gauss | 0.1' | 1000' | ++---------------+---------------+---------------+ + + +Cosmology +========= + +The cosmology is encoded in the structure cosmo. It contains all +relevant cosmological and nuisance parameters, and pre-calculated +tables and constants. If parameters change, these tables are +recomputed once they are needed. All lensing-related variables are +contained in the structure cosmo_lens. + +Reading parameters from a file +------------------------------ + +The function:: + + read_cosmological_parameters_lens(&model, F, err) + +reads cosmological and lensing parameters from the file F (type FILE*) and +initialised the structure cosmo_lens \*model. The file 'cosmo_lens.par' is an +example file. First, it contains a reference to the basic cosmology file 'cosmo.par', +containing cosmological parameters. Next, redshift information is read from +the file 'nofz.par'. Then, the lensing parameters follow. + +Initializing the cosmology +-------------------------- + +The function:: + + init_parameters_lens(...) + +returns a pointer to the structure cosmo_lens with parameters given by +the arguments and blank tables. If passed to a function (e.g. one +described in Sect.2), the corresponding tables and constants (if +required) are filled and calculated. Successive calls to this function +will be very fast since only a linear interpolation of the tabulated +values is performed. + +Changing the cosmology +---------------------- + +If a different cosmology is required, a new cosmo_lens pointer has to be +created, either with:: + + model_new = init_parameters_lens(...) + +as above, or with:: + + model_new = copy_parameters_lens_only(model, err). + model_new->param1 = ... + model_new->param2 = ... + ... + +In both cases, all tables and constants are blanked. A call of:: + + updateFrom_lens(model_new, model, err) + +copies tables from model to model_new if corresponding parameters are +unchanged and leaves those blank which have to be recalculated if +required. This is particularly efficient if only a few or only "fast" +parameters change since a small number of (time-consuming) functions +will be recalculated. E.g., if only the redshift parameters change, +the non-linear power spectra and growth factor need not be +recalculated, only the shear statistics, which is very fast due to the +Hankel transform. + +Parameters and ranges +--------------------- + +The following parameters are implemented. Within a given range, the +program should obtain reasonable results or return an error message (see +Sect.4). The program does not check whether a parameter is within its +range. The following ranges have been tested some time ago, probably the code +will work outside of these ranges as well. + +Cosmology +--------- + ++---------------+-----------------------------------------------+---------+---------+ +| Parameter | Description | Minimum | Maximum | ++===============+===============================================+=========+=========+ +| Omega_m | total matter density (baryonic + dark) | 0.1 | 1.5 | ++---------------+-----------------------------------------------+---------+---------+ +| Omega_de | dark energy density | 0.1 | 1.5 | ++---------------+-----------------------------------------------+---------+---------+ +| w0_de | dark energy eos parametrization (see below) | -2.0 | -0.5 | ++---------------+-----------------------------------------------+---------+---------+ +| w1_de | dark energy eos parametrization (see below) | -0.6 | 0.6 | ++---------------+-----------------------------------------------+---------+---------+ +| h_100 | Hubble parameter H_0 = 100 h_100 km/s/Mpc | 0.4 | 1.0 | ++---------------+-----------------------------------------------+---------+---------+ +| Omega_b | baryon density | 0.02 | 0.06 | ++---------------+-----------------------------------------------+---------+---------+ +| Omega_nu_mass | massive neutrino density | (not tested) | ++---------------+-----------------------------------------------+---------+---------+ +| N_eff_mass | Number of massive neutrinos | (not tested) | ++---------------+-----------------------------------------------+---------+---------+ +| sigma_8 | Late-time power spectrum normalisation | 0.1 | 1.5 | ++---------------+-----------------------------------------------+---------+---------+ +| A_s | CMB power spectrum normalization | (not tested) | ++---------------+-----------------------------------------------+---------+---------+ +| n_spec | primordial spectral index | 0.7 | 1.3 | ++---------------+-----------------------------------------------+---------+---------+ + +The power spectrum normalisation can be chosen with the flag normmode = 0 for sigma_8 +and 1 for A_s. + +Redshift parameters +------------------- + +The number of redshift bins is Nzbin. 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