#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Toniolo and Linder, Equation (13)";

double f_if(float n, float U, float t, float l, float Om, float U_) {
        float r15794 = 2.0f;
        float r15795 = n;
        float r15796 = r15794 * r15795;
        float r15797 = U;
        float r15798 = r15796 * r15797;
        float r15799 = t;
        float r15800 = l;
        float r15801 = r15800 * r15800;
        float r15802 = Om;
        float r15803 = r15801 / r15802;
        float r15804 = r15794 * r15803;
        float r15805 = r15799 - r15804;
        float r15806 = r15800 / r15802;
        float r15807 = r15806 * r15806;
        float r15808 = r15795 * r15807;
        float r15809 = U_;
        float r15810 = r15797 - r15809;
        float r15811 = r15808 * r15810;
        float r15812 = r15805 - r15811;
        float r15813 = r15798 * r15812;
        float r15814 = sqrt(r15813);
        return r15814;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15815 = 2.0;
        double r15816 = n;
        double r15817 = r15815 * r15816;
        double r15818 = U;
        double r15819 = r15817 * r15818;
        double r15820 = t;
        double r15821 = l;
        double r15822 = r15821 * r15821;
        double r15823 = Om;
        double r15824 = r15822 / r15823;
        double r15825 = r15815 * r15824;
        double r15826 = r15820 - r15825;
        double r15827 = r15821 / r15823;
        double r15828 = r15827 * r15827;
        double r15829 = r15816 * r15828;
        double r15830 = U_;
        double r15831 = r15818 - r15830;
        double r15832 = r15829 * r15831;
        double r15833 = r15826 - r15832;
        double r15834 = r15819 * r15833;
        double r15835 = sqrt(r15834);
        return r15835;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15836 = U;
        float r15837 = -2.0680280727539907e-221f;
        bool r15838 = r15836 <= r15837;
        float r15839 = 2.0f;
        float r15840 = n;
        float r15841 = r15839 * r15840;
        float r15842 = r15841 * r15836;
        float r15843 = t;
        float r15844 = l;
        float r15845 = Om;
        float r15846 = r15845 / r15844;
        float r15847 = r15844 / r15846;
        float r15848 = r15839 * r15847;
        float r15849 = r15843 - r15848;
        float r15850 = r15844 / r15845;
        float r15851 = r15840 * r15850;
        float r15852 = r15851 * r15850;
        float r15853 = U_;
        float r15854 = r15836 - r15853;
        float r15855 = r15852 * r15854;
        float r15856 = r15849 - r15855;
        float r15857 = r15842 * r15856;
        float r15858 = sqrt(r15857);
        float r15859 = 1.6072330823867862e-73f;
        bool r15860 = r15836 <= r15859;
        float r15861 = r15850 * r15850;
        float r15862 = r15840 * r15861;
        float r15863 = r15862 * r15854;
        float r15864 = r15849 - r15863;
        float r15865 = r15836 * r15864;
        float r15866 = r15841 * r15865;
        float r15867 = sqrt(r15866);
        float r15868 = 4.1248750755766167e+260f;
        bool r15869 = r15836 <= r15868;
        float r15870 = sqrt(r15842);
        float r15871 = sqrt(r15864);
        float r15872 = r15870 * r15871;
        float r15873 = r15869 ? r15858 : r15872;
        float r15874 = r15860 ? r15867 : r15873;
        float r15875 = r15838 ? r15858 : r15874;
        return r15875;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15876 = U;
        double r15877 = -2.0680280727539907e-221;
        bool r15878 = r15876 <= r15877;
        double r15879 = 2.0;
        double r15880 = n;
        double r15881 = r15879 * r15880;
        double r15882 = r15881 * r15876;
        double r15883 = t;
        double r15884 = l;
        double r15885 = Om;
        double r15886 = r15885 / r15884;
        double r15887 = r15884 / r15886;
        double r15888 = r15879 * r15887;
        double r15889 = r15883 - r15888;
        double r15890 = r15884 / r15885;
        double r15891 = r15880 * r15890;
        double r15892 = r15891 * r15890;
        double r15893 = U_;
        double r15894 = r15876 - r15893;
        double r15895 = r15892 * r15894;
        double r15896 = r15889 - r15895;
        double r15897 = r15882 * r15896;
        double r15898 = sqrt(r15897);
        double r15899 = 1.6072330823867862e-73;
        bool r15900 = r15876 <= r15899;
        double r15901 = r15890 * r15890;
        double r15902 = r15880 * r15901;
        double r15903 = r15902 * r15894;
        double r15904 = r15889 - r15903;
        double r15905 = r15876 * r15904;
        double r15906 = r15881 * r15905;
        double r15907 = sqrt(r15906);
        double r15908 = 4.1248750755766167e+260;
        bool r15909 = r15876 <= r15908;
        double r15910 = sqrt(r15882);
        double r15911 = sqrt(r15904);
        double r15912 = r15910 * r15911;
        double r15913 = r15909 ? r15898 : r15912;
        double r15914 = r15900 ? r15907 : r15913;
        double r15915 = r15878 ? r15898 : r15914;
        return r15915;
}

void mpfr_fmod2(mpfr_t r, mpfr_t n, mpfr_t d, mpfr_rnd_t rmd) {
        mpfr_fmod(r, n, d, rmd);
        if (mpfr_cmp_ui(r, 0) < 0) mpfr_add(r, r, d, rmd);
}


static mpfr_t r15916, r15917, r15918, r15919, r15920, r15921, r15922, r15923, r15924, r15925, r15926, r15927, r15928, r15929, r15930, r15931, r15932, r15933, r15934, r15935, r15936;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15916, "2", 10, MPFR_RNDN);
        mpfr_init(r15917);
        mpfr_init(r15918);
        mpfr_init(r15919);
        mpfr_init(r15920);
        mpfr_init(r15921);
        mpfr_init(r15922);
        mpfr_init(r15923);
        mpfr_init(r15924);
        mpfr_init(r15925);
        mpfr_init(r15926);
        mpfr_init(r15927);
        mpfr_init(r15928);
        mpfr_init(r15929);
        mpfr_init(r15930);
        mpfr_init(r15931);
        mpfr_init(r15932);
        mpfr_init(r15933);
        mpfr_init(r15934);
        mpfr_init(r15935);
        mpfr_init(r15936);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15917, n, MPFR_RNDN);
        mpfr_mul(r15918, r15916, r15917, MPFR_RNDN);
        mpfr_set_d(r15919, U, MPFR_RNDN);
        mpfr_mul(r15920, r15918, r15919, MPFR_RNDN);
        mpfr_set_d(r15921, t, MPFR_RNDN);
        mpfr_set_d(r15922, l, MPFR_RNDN);
        mpfr_sqr(r15923, r15922, MPFR_RNDN);
        mpfr_set_d(r15924, Om, MPFR_RNDN);
        mpfr_div(r15925, r15923, r15924, MPFR_RNDN);
        mpfr_mul(r15926, r15916, r15925, MPFR_RNDN);
        mpfr_sub(r15927, r15921, r15926, MPFR_RNDN);
        mpfr_div(r15928, r15922, r15924, MPFR_RNDN);
        mpfr_sqr(r15929, r15928, MPFR_RNDN);
        mpfr_mul(r15930, r15917, r15929, MPFR_RNDN);
        mpfr_set_d(r15931, U_, MPFR_RNDN);
        mpfr_sub(r15932, r15919, r15931, MPFR_RNDN);
        mpfr_mul(r15933, r15930, r15932, MPFR_RNDN);
        mpfr_sub(r15934, r15927, r15933, MPFR_RNDN);
        mpfr_mul(r15935, r15920, r15934, MPFR_RNDN);
        mpfr_sqrt(r15936, r15935, MPFR_RNDN);
        return mpfr_get_d(r15936, MPFR_RNDN);
}

static mpfr_t r15937, r15938, r15939, r15940, r15941, r15942, r15943, r15944, r15945, r15946, r15947, r15948, r15949, r15950, r15951, r15952, r15953, r15954, r15955, r15956, r15957, r15958, r15959, r15960, r15961, r15962, r15963, r15964, r15965, r15966, r15967, r15968, r15969, r15970, r15971, r15972, r15973, r15974, r15975, r15976;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15937);
        mpfr_init_set_str(r15938, "-2.0680280727539907e-221", 10, MPFR_RNDN);
        mpfr_init(r15939);
        mpfr_init_set_str(r15940, "2", 10, MPFR_RNDN);
        mpfr_init(r15941);
        mpfr_init(r15942);
        mpfr_init(r15943);
        mpfr_init(r15944);
        mpfr_init(r15945);
        mpfr_init(r15946);
        mpfr_init(r15947);
        mpfr_init(r15948);
        mpfr_init(r15949);
        mpfr_init(r15950);
        mpfr_init(r15951);
        mpfr_init(r15952);
        mpfr_init(r15953);
        mpfr_init(r15954);
        mpfr_init(r15955);
        mpfr_init(r15956);
        mpfr_init(r15957);
        mpfr_init(r15958);
        mpfr_init(r15959);
        mpfr_init_set_str(r15960, "1.6072330823867862e-73", 10, MPFR_RNDN);
        mpfr_init(r15961);
        mpfr_init(r15962);
        mpfr_init(r15963);
        mpfr_init(r15964);
        mpfr_init(r15965);
        mpfr_init(r15966);
        mpfr_init(r15967);
        mpfr_init(r15968);
        mpfr_init_set_str(r15969, "4.1248750755766167e+260", 10, MPFR_RNDN);
        mpfr_init(r15970);
        mpfr_init(r15971);
        mpfr_init(r15972);
        mpfr_init(r15973);
        mpfr_init(r15974);
        mpfr_init(r15975);
        mpfr_init(r15976);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r15937, U, MPFR_RNDN);
        ;
        mpfr_set_si(r15939, mpfr_cmp(r15937, r15938) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r15941, n, MPFR_RNDN);
        mpfr_mul(r15942, r15940, r15941, MPFR_RNDN);
        mpfr_mul(r15943, r15942, r15937, MPFR_RNDN);
        mpfr_set_d(r15944, t, MPFR_RNDN);
        mpfr_set_d(r15945, l, MPFR_RNDN);
        mpfr_set_d(r15946, Om, MPFR_RNDN);
        mpfr_div(r15947, r15946, r15945, MPFR_RNDN);
        mpfr_div(r15948, r15945, r15947, MPFR_RNDN);
        mpfr_mul(r15949, r15940, r15948, MPFR_RNDN);
        mpfr_sub(r15950, r15944, r15949, MPFR_RNDN);
        mpfr_div(r15951, r15945, r15946, MPFR_RNDN);
        mpfr_mul(r15952, r15941, r15951, MPFR_RNDN);
        mpfr_mul(r15953, r15952, r15951, MPFR_RNDN);
        mpfr_set_d(r15954, U_, MPFR_RNDN);
        mpfr_sub(r15955, r15937, r15954, MPFR_RNDN);
        mpfr_mul(r15956, r15953, r15955, MPFR_RNDN);
        mpfr_sub(r15957, r15950, r15956, MPFR_RNDN);
        mpfr_mul(r15958, r15943, r15957, MPFR_RNDN);
        mpfr_sqrt(r15959, r15958, MPFR_RNDN);
        ;
        mpfr_set_si(r15961, mpfr_cmp(r15937, r15960) <= 0, MPFR_RNDN);
        mpfr_sqr(r15962, r15951, MPFR_RNDN);
        mpfr_mul(r15963, r15941, r15962, MPFR_RNDN);
        mpfr_mul(r15964, r15963, r15955, MPFR_RNDN);
        mpfr_sub(r15965, r15950, r15964, MPFR_RNDN);
        mpfr_mul(r15966, r15937, r15965, MPFR_RNDN);
        mpfr_mul(r15967, r15942, r15966, MPFR_RNDN);
        mpfr_sqrt(r15968, r15967, MPFR_RNDN);
        ;
        mpfr_set_si(r15970, mpfr_cmp(r15937, r15969) <= 0, MPFR_RNDN);
        mpfr_sqrt(r15971, r15943, MPFR_RNDN);
        mpfr_sqrt(r15972, r15965, MPFR_RNDN);
        mpfr_mul(r15973, r15971, r15972, MPFR_RNDN);
        if (mpfr_get_si(r15970, MPFR_RNDN)) { mpfr_set(r15974, r15959, MPFR_RNDN); } else { mpfr_set(r15974, r15973, MPFR_RNDN); };
        if (mpfr_get_si(r15961, MPFR_RNDN)) { mpfr_set(r15975, r15968, MPFR_RNDN); } else { mpfr_set(r15975, r15974, MPFR_RNDN); };
        if (mpfr_get_si(r15939, MPFR_RNDN)) { mpfr_set(r15976, r15959, MPFR_RNDN); } else { mpfr_set(r15976, r15975, MPFR_RNDN); };
        return mpfr_get_d(r15976, MPFR_RNDN);
}

static mpfr_t r15977, r15978, r15979, r15980, r15981, r15982, r15983, r15984, r15985, r15986, r15987, r15988, r15989, r15990, r15991, r15992, r15993, r15994, r15995, r15996, r15997, r15998, r15999, r16000, r16001, r16002, r16003, r16004, r16005, r16006, r16007, r16008, r16009, r16010, r16011, r16012, r16013, r16014, r16015, r16016;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15977);
        mpfr_init_set_str(r15978, "-2.0680280727539907e-221", 10, MPFR_RNDN);
        mpfr_init(r15979);
        mpfr_init_set_str(r15980, "2", 10, MPFR_RNDN);
        mpfr_init(r15981);
        mpfr_init(r15982);
        mpfr_init(r15983);
        mpfr_init(r15984);
        mpfr_init(r15985);
        mpfr_init(r15986);
        mpfr_init(r15987);
        mpfr_init(r15988);
        mpfr_init(r15989);
        mpfr_init(r15990);
        mpfr_init(r15991);
        mpfr_init(r15992);
        mpfr_init(r15993);
        mpfr_init(r15994);
        mpfr_init(r15995);
        mpfr_init(r15996);
        mpfr_init(r15997);
        mpfr_init(r15998);
        mpfr_init(r15999);
        mpfr_init_set_str(r16000, "1.6072330823867862e-73", 10, MPFR_RNDN);
        mpfr_init(r16001);
        mpfr_init(r16002);
        mpfr_init(r16003);
        mpfr_init(r16004);
        mpfr_init(r16005);
        mpfr_init(r16006);
        mpfr_init(r16007);
        mpfr_init(r16008);
        mpfr_init_set_str(r16009, "4.1248750755766167e+260", 10, MPFR_RNDN);
        mpfr_init(r16010);
        mpfr_init(r16011);
        mpfr_init(r16012);
        mpfr_init(r16013);
        mpfr_init(r16014);
        mpfr_init(r16015);
        mpfr_init(r16016);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r15977, U, MPFR_RNDN);
        ;
        mpfr_set_si(r15979, mpfr_cmp(r15977, r15978) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r15981, n, MPFR_RNDN);
        mpfr_mul(r15982, r15980, r15981, MPFR_RNDN);
        mpfr_mul(r15983, r15982, r15977, MPFR_RNDN);
        mpfr_set_d(r15984, t, MPFR_RNDN);
        mpfr_set_d(r15985, l, MPFR_RNDN);
        mpfr_set_d(r15986, Om, MPFR_RNDN);
        mpfr_div(r15987, r15986, r15985, MPFR_RNDN);
        mpfr_div(r15988, r15985, r15987, MPFR_RNDN);
        mpfr_mul(r15989, r15980, r15988, MPFR_RNDN);
        mpfr_sub(r15990, r15984, r15989, MPFR_RNDN);
        mpfr_div(r15991, r15985, r15986, MPFR_RNDN);
        mpfr_mul(r15992, r15981, r15991, MPFR_RNDN);
        mpfr_mul(r15993, r15992, r15991, MPFR_RNDN);
        mpfr_set_d(r15994, U_, MPFR_RNDN);
        mpfr_sub(r15995, r15977, r15994, MPFR_RNDN);
        mpfr_mul(r15996, r15993, r15995, MPFR_RNDN);
        mpfr_sub(r15997, r15990, r15996, MPFR_RNDN);
        mpfr_mul(r15998, r15983, r15997, MPFR_RNDN);
        mpfr_sqrt(r15999, r15998, MPFR_RNDN);
        ;
        mpfr_set_si(r16001, mpfr_cmp(r15977, r16000) <= 0, MPFR_RNDN);
        mpfr_sqr(r16002, r15991, MPFR_RNDN);
        mpfr_mul(r16003, r15981, r16002, MPFR_RNDN);
        mpfr_mul(r16004, r16003, r15995, MPFR_RNDN);
        mpfr_sub(r16005, r15990, r16004, MPFR_RNDN);
        mpfr_mul(r16006, r15977, r16005, MPFR_RNDN);
        mpfr_mul(r16007, r15982, r16006, MPFR_RNDN);
        mpfr_sqrt(r16008, r16007, MPFR_RNDN);
        ;
        mpfr_set_si(r16010, mpfr_cmp(r15977, r16009) <= 0, MPFR_RNDN);
        mpfr_sqrt(r16011, r15983, MPFR_RNDN);
        mpfr_sqrt(r16012, r16005, MPFR_RNDN);
        mpfr_mul(r16013, r16011, r16012, MPFR_RNDN);
        if (mpfr_get_si(r16010, MPFR_RNDN)) { mpfr_set(r16014, r15999, MPFR_RNDN); } else { mpfr_set(r16014, r16013, MPFR_RNDN); };
        if (mpfr_get_si(r16001, MPFR_RNDN)) { mpfr_set(r16015, r16008, MPFR_RNDN); } else { mpfr_set(r16015, r16014, MPFR_RNDN); };
        if (mpfr_get_si(r15979, MPFR_RNDN)) { mpfr_set(r16016, r15999, MPFR_RNDN); } else { mpfr_set(r16016, r16015, MPFR_RNDN); };
        return mpfr_get_d(r16016, MPFR_RNDN);
}