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

char *name = "Toniolo and Linder, Equation (7)";

double f_if(float x, float l, float t) {
        float r21784 = 2;
        float r21785 = sqrt(r21784);
        float r21786 = t;
        float r21787 = r21785 * r21786;
        float r21788 = x;
        float r21789 = 1;
        float r21790 = r21788 + r21789;
        float r21791 = r21788 - r21789;
        float r21792 = r21790 / r21791;
        float r21793 = l;
        float r21794 = r21793 * r21793;
        float r21795 = r21786 * r21786;
        float r21796 = r21784 * r21795;
        float r21797 = r21794 + r21796;
        float r21798 = r21792 * r21797;
        float r21799 = r21798 - r21794;
        float r21800 = sqrt(r21799);
        float r21801 = r21787 / r21800;
        return r21801;
}

double f_id(double x, double l, double t) {
        double r21802 = 2;
        double r21803 = sqrt(r21802);
        double r21804 = t;
        double r21805 = r21803 * r21804;
        double r21806 = x;
        double r21807 = 1;
        double r21808 = r21806 + r21807;
        double r21809 = r21806 - r21807;
        double r21810 = r21808 / r21809;
        double r21811 = l;
        double r21812 = r21811 * r21811;
        double r21813 = r21804 * r21804;
        double r21814 = r21802 * r21813;
        double r21815 = r21812 + r21814;
        double r21816 = r21810 * r21815;
        double r21817 = r21816 - r21812;
        double r21818 = sqrt(r21817);
        double r21819 = r21805 / r21818;
        return r21819;
}


double f_of(float x, float l, float t) {
        float r21820 = t;
        float r21821 = -5.960583638258384e+99;
        bool r21822 = r21820 <= r21821;
        float r21823 = 2;
        float r21824 = sqrt(r21823);
        float r21825 = r21820 * r21824;
        float r21826 = 1;
        float r21827 = x;
        float r21828 = r21827 * r21827;
        float r21829 = r21826 / r21828;
        float r21830 = r21820 / r21824;
        float r21831 = -r21820;
        float r21832 = r21831 * r21824;
        float r21833 = fma(r21829, r21830, r21832);
        float r21834 = r21823 / r21827;
        float r21835 = r21834 / r21824;
        float r21836 = r21820 / r21827;
        float r21837 = r21836 + r21820;
        float r21838 = r21835 * r21837;
        float r21839 = r21833 - r21838;
        float r21840 = r21825 / r21839;
        float r21841 = -1.537319401584328e-229;
        bool r21842 = r21820 <= r21841;
        float r21843 = l;
        float r21844 = r21843 / r21827;
        float r21845 = r21820 * r21820;
        float r21846 = fma(r21844, r21843, r21845);
        float r21847 = 4;
        float r21848 = r21847 / r21827;
        float r21849 = r21848 * r21845;
        float r21850 = fma(r21823, r21846, r21849);
        float r21851 = sqrt(r21850);
        float r21852 = sqrt(r21851);
        float r21853 = r21852 * r21852;
        float r21854 = r21825 / r21853;
        float r21855 = -1.667240914834121e-258;
        bool r21856 = r21820 <= r21855;
        float r21857 = 1.0668043887677919e+86;
        bool r21858 = r21820 <= r21857;
        float r21859 = r21823 / r21824;
        float r21860 = r21836 / r21827;
        float r21861 = r21860 + r21836;
        float r21862 = -r21826;
        float r21863 = r21862 / r21824;
        float r21864 = fma(r21863, r21860, r21825);
        float r21865 = fma(r21859, r21861, r21864);
        float r21866 = r21825 / r21865;
        float r21867 = r21858 ? r21854 : r21866;
        float r21868 = r21856 ? r21840 : r21867;
        float r21869 = r21842 ? r21854 : r21868;
        float r21870 = r21822 ? r21840 : r21869;
        return r21870;
}

double f_od(double x, double l, double t) {
        double r21871 = t;
        double r21872 = -5.960583638258384e+99;
        bool r21873 = r21871 <= r21872;
        double r21874 = 2;
        double r21875 = sqrt(r21874);
        double r21876 = r21871 * r21875;
        double r21877 = 1;
        double r21878 = x;
        double r21879 = r21878 * r21878;
        double r21880 = r21877 / r21879;
        double r21881 = r21871 / r21875;
        double r21882 = -r21871;
        double r21883 = r21882 * r21875;
        double r21884 = fma(r21880, r21881, r21883);
        double r21885 = r21874 / r21878;
        double r21886 = r21885 / r21875;
        double r21887 = r21871 / r21878;
        double r21888 = r21887 + r21871;
        double r21889 = r21886 * r21888;
        double r21890 = r21884 - r21889;
        double r21891 = r21876 / r21890;
        double r21892 = -1.537319401584328e-229;
        bool r21893 = r21871 <= r21892;
        double r21894 = l;
        double r21895 = r21894 / r21878;
        double r21896 = r21871 * r21871;
        double r21897 = fma(r21895, r21894, r21896);
        double r21898 = 4;
        double r21899 = r21898 / r21878;
        double r21900 = r21899 * r21896;
        double r21901 = fma(r21874, r21897, r21900);
        double r21902 = sqrt(r21901);
        double r21903 = sqrt(r21902);
        double r21904 = r21903 * r21903;
        double r21905 = r21876 / r21904;
        double r21906 = -1.667240914834121e-258;
        bool r21907 = r21871 <= r21906;
        double r21908 = 1.0668043887677919e+86;
        bool r21909 = r21871 <= r21908;
        double r21910 = r21874 / r21875;
        double r21911 = r21887 / r21878;
        double r21912 = r21911 + r21887;
        double r21913 = -r21877;
        double r21914 = r21913 / r21875;
        double r21915 = fma(r21914, r21911, r21876);
        double r21916 = fma(r21910, r21912, r21915);
        double r21917 = r21876 / r21916;
        double r21918 = r21909 ? r21905 : r21917;
        double r21919 = r21907 ? r21891 : r21918;
        double r21920 = r21893 ? r21905 : r21919;
        double r21921 = r21873 ? r21891 : r21920;
        return r21921;
}

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 r21922, r21923, r21924, r21925, r21926, r21927, r21928, r21929, r21930, r21931, r21932, r21933, r21934, r21935, r21936, r21937, r21938, r21939;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r21922, "2", 10, MPFR_RNDN);
        mpfr_init(r21923);
        mpfr_init(r21924);
        mpfr_init(r21925);
        mpfr_init(r21926);
        mpfr_init_set_str(r21927, "1", 10, MPFR_RNDN);
        mpfr_init(r21928);
        mpfr_init(r21929);
        mpfr_init(r21930);
        mpfr_init(r21931);
        mpfr_init(r21932);
        mpfr_init(r21933);
        mpfr_init(r21934);
        mpfr_init(r21935);
        mpfr_init(r21936);
        mpfr_init(r21937);
        mpfr_init(r21938);
        mpfr_init(r21939);
}

double f_im(double x, double l, double t) {
        ;
        mpfr_sqrt(r21923, r21922, MPFR_RNDN);
        mpfr_set_d(r21924, t, MPFR_RNDN);
        mpfr_mul(r21925, r21923, r21924, MPFR_RNDN);
        mpfr_set_d(r21926, x, MPFR_RNDN);
        ;
        mpfr_add(r21928, r21926, r21927, MPFR_RNDN);
        mpfr_sub(r21929, r21926, r21927, MPFR_RNDN);
        mpfr_div(r21930, r21928, r21929, MPFR_RNDN);
        mpfr_set_d(r21931, l, MPFR_RNDN);
        mpfr_mul(r21932, r21931, r21931, MPFR_RNDN);
        mpfr_mul(r21933, r21924, r21924, MPFR_RNDN);
        mpfr_mul(r21934, r21922, r21933, MPFR_RNDN);
        mpfr_add(r21935, r21932, r21934, MPFR_RNDN);
        mpfr_mul(r21936, r21930, r21935, MPFR_RNDN);
        mpfr_sub(r21937, r21936, r21932, MPFR_RNDN);
        mpfr_sqrt(r21938, r21937, MPFR_RNDN);
        mpfr_div(r21939, r21925, r21938, MPFR_RNDN);
        return mpfr_get_d(r21939, MPFR_RNDN);
}

static mpfr_t r21940, r21941, r21942, r21943, r21944, r21945, r21946, r21947, r21948, r21949, r21950, r21951, r21952, r21953, r21954, r21955, r21956, r21957, r21958, r21959, r21960, r21961, r21962, r21963, r21964, r21965, r21966, r21967, r21968, r21969, r21970, r21971, r21972, r21973, r21974, r21975, r21976, r21977, r21978, r21979, r21980, r21981, r21982, r21983, r21984, r21985, r21986, r21987, r21988, r21989, r21990;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r21940);
        mpfr_init_set_str(r21941, "-5.960583638258384e+99", 10, MPFR_RNDN);
        mpfr_init(r21942);
        mpfr_init_set_str(r21943, "2", 10, MPFR_RNDN);
        mpfr_init(r21944);
        mpfr_init(r21945);
        mpfr_init_set_str(r21946, "1", 10, MPFR_RNDN);
        mpfr_init(r21947);
        mpfr_init(r21948);
        mpfr_init(r21949);
        mpfr_init(r21950);
        mpfr_init(r21951);
        mpfr_init(r21952);
        mpfr_init(r21953);
        mpfr_init(r21954);
        mpfr_init(r21955);
        mpfr_init(r21956);
        mpfr_init(r21957);
        mpfr_init(r21958);
        mpfr_init(r21959);
        mpfr_init(r21960);
        mpfr_init_set_str(r21961, "-1.537319401584328e-229", 10, MPFR_RNDN);
        mpfr_init(r21962);
        mpfr_init(r21963);
        mpfr_init(r21964);
        mpfr_init(r21965);
        mpfr_init(r21966);
        mpfr_init_set_str(r21967, "4", 10, MPFR_RNDN);
        mpfr_init(r21968);
        mpfr_init(r21969);
        mpfr_init(r21970);
        mpfr_init(r21971);
        mpfr_init(r21972);
        mpfr_init(r21973);
        mpfr_init(r21974);
        mpfr_init_set_str(r21975, "-1.667240914834121e-258", 10, MPFR_RNDN);
        mpfr_init(r21976);
        mpfr_init_set_str(r21977, "1.0668043887677919e+86", 10, MPFR_RNDN);
        mpfr_init(r21978);
        mpfr_init(r21979);
        mpfr_init(r21980);
        mpfr_init(r21981);
        mpfr_init(r21982);
        mpfr_init(r21983);
        mpfr_init(r21984);
        mpfr_init(r21985);
        mpfr_init(r21986);
        mpfr_init(r21987);
        mpfr_init(r21988);
        mpfr_init(r21989);
        mpfr_init(r21990);
}

double f_fm(double x, double l, double t) {
        mpfr_set_d(r21940, t, MPFR_RNDN);
        ;
        mpfr_set_si(r21942, mpfr_cmp(r21940, r21941) <= 0, MPFR_RNDN);
        ;
        mpfr_sqrt(r21944, r21943, MPFR_RNDN);
        mpfr_mul(r21945, r21940, r21944, MPFR_RNDN);
        ;
        mpfr_set_d(r21947, x, MPFR_RNDN);
        mpfr_mul(r21948, r21947, r21947, MPFR_RNDN);
        mpfr_div(r21949, r21946, r21948, MPFR_RNDN);
        mpfr_div(r21950, r21940, r21944, MPFR_RNDN);
        mpfr_neg(r21951, r21940, MPFR_RNDN);
        mpfr_mul(r21952, r21951, r21944, MPFR_RNDN);
        mpfr_fma(r21953, r21949, r21950, r21952, MPFR_RNDN);
        mpfr_div(r21954, r21943, r21947, MPFR_RNDN);
        mpfr_div(r21955, r21954, r21944, MPFR_RNDN);
        mpfr_div(r21956, r21940, r21947, MPFR_RNDN);
        mpfr_add(r21957, r21956, r21940, MPFR_RNDN);
        mpfr_mul(r21958, r21955, r21957, MPFR_RNDN);
        mpfr_sub(r21959, r21953, r21958, MPFR_RNDN);
        mpfr_div(r21960, r21945, r21959, MPFR_RNDN);
        ;
        mpfr_set_si(r21962, mpfr_cmp(r21940, r21961) <= 0, MPFR_RNDN);
        mpfr_set_d(r21963, l, MPFR_RNDN);
        mpfr_div(r21964, r21963, r21947, MPFR_RNDN);
        mpfr_mul(r21965, r21940, r21940, MPFR_RNDN);
        mpfr_fma(r21966, r21964, r21963, r21965, MPFR_RNDN);
        ;
        mpfr_div(r21968, r21967, r21947, MPFR_RNDN);
        mpfr_mul(r21969, r21968, r21965, MPFR_RNDN);
        mpfr_fma(r21970, r21943, r21966, r21969, MPFR_RNDN);
        mpfr_sqrt(r21971, r21970, MPFR_RNDN);
        mpfr_sqrt(r21972, r21971, MPFR_RNDN);
        mpfr_mul(r21973, r21972, r21972, MPFR_RNDN);
        mpfr_div(r21974, r21945, r21973, MPFR_RNDN);
        ;
        mpfr_set_si(r21976, mpfr_cmp(r21940, r21975) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r21978, mpfr_cmp(r21940, r21977) <= 0, MPFR_RNDN);
        mpfr_div(r21979, r21943, r21944, MPFR_RNDN);
        mpfr_div(r21980, r21956, r21947, MPFR_RNDN);
        mpfr_add(r21981, r21980, r21956, MPFR_RNDN);
        mpfr_neg(r21982, r21946, MPFR_RNDN);
        mpfr_div(r21983, r21982, r21944, MPFR_RNDN);
        mpfr_fma(r21984, r21983, r21980, r21945, MPFR_RNDN);
        mpfr_fma(r21985, r21979, r21981, r21984, MPFR_RNDN);
        mpfr_div(r21986, r21945, r21985, MPFR_RNDN);
        if (mpfr_get_si(r21978, MPFR_RNDN)) { mpfr_set(r21987, r21974, MPFR_RNDN); } else { mpfr_set(r21987, r21986, MPFR_RNDN); };
        if (mpfr_get_si(r21976, MPFR_RNDN)) { mpfr_set(r21988, r21960, MPFR_RNDN); } else { mpfr_set(r21988, r21987, MPFR_RNDN); };
        if (mpfr_get_si(r21962, MPFR_RNDN)) { mpfr_set(r21989, r21974, MPFR_RNDN); } else { mpfr_set(r21989, r21988, MPFR_RNDN); };
        if (mpfr_get_si(r21942, MPFR_RNDN)) { mpfr_set(r21990, r21960, MPFR_RNDN); } else { mpfr_set(r21990, r21989, MPFR_RNDN); };
        return mpfr_get_d(r21990, MPFR_RNDN);
}

static mpfr_t r21991, r21992, r21993, r21994, r21995, r21996, r21997, r21998, r21999, r22000, r22001, r22002, r22003, r22004, r22005, r22006, r22007, r22008, r22009, r22010, r22011, r22012, r22013, r22014, r22015, r22016, r22017, r22018, r22019, r22020, r22021, r22022, r22023, r22024, r22025, r22026, r22027, r22028, r22029, r22030, r22031, r22032, r22033, r22034, r22035, r22036, r22037, r22038, r22039, r22040, r22041;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r21991);
        mpfr_init_set_str(r21992, "-5.960583638258384e+99", 10, MPFR_RNDN);
        mpfr_init(r21993);
        mpfr_init_set_str(r21994, "2", 10, MPFR_RNDN);
        mpfr_init(r21995);
        mpfr_init(r21996);
        mpfr_init_set_str(r21997, "1", 10, MPFR_RNDN);
        mpfr_init(r21998);
        mpfr_init(r21999);
        mpfr_init(r22000);
        mpfr_init(r22001);
        mpfr_init(r22002);
        mpfr_init(r22003);
        mpfr_init(r22004);
        mpfr_init(r22005);
        mpfr_init(r22006);
        mpfr_init(r22007);
        mpfr_init(r22008);
        mpfr_init(r22009);
        mpfr_init(r22010);
        mpfr_init(r22011);
        mpfr_init_set_str(r22012, "-1.537319401584328e-229", 10, MPFR_RNDN);
        mpfr_init(r22013);
        mpfr_init(r22014);
        mpfr_init(r22015);
        mpfr_init(r22016);
        mpfr_init(r22017);
        mpfr_init_set_str(r22018, "4", 10, MPFR_RNDN);
        mpfr_init(r22019);
        mpfr_init(r22020);
        mpfr_init(r22021);
        mpfr_init(r22022);
        mpfr_init(r22023);
        mpfr_init(r22024);
        mpfr_init(r22025);
        mpfr_init_set_str(r22026, "-1.667240914834121e-258", 10, MPFR_RNDN);
        mpfr_init(r22027);
        mpfr_init_set_str(r22028, "1.0668043887677919e+86", 10, MPFR_RNDN);
        mpfr_init(r22029);
        mpfr_init(r22030);
        mpfr_init(r22031);
        mpfr_init(r22032);
        mpfr_init(r22033);
        mpfr_init(r22034);
        mpfr_init(r22035);
        mpfr_init(r22036);
        mpfr_init(r22037);
        mpfr_init(r22038);
        mpfr_init(r22039);
        mpfr_init(r22040);
        mpfr_init(r22041);
}

double f_dm(double x, double l, double t) {
        mpfr_set_d(r21991, t, MPFR_RNDN);
        ;
        mpfr_set_si(r21993, mpfr_cmp(r21991, r21992) <= 0, MPFR_RNDN);
        ;
        mpfr_sqrt(r21995, r21994, MPFR_RNDN);
        mpfr_mul(r21996, r21991, r21995, MPFR_RNDN);
        ;
        mpfr_set_d(r21998, x, MPFR_RNDN);
        mpfr_mul(r21999, r21998, r21998, MPFR_RNDN);
        mpfr_div(r22000, r21997, r21999, MPFR_RNDN);
        mpfr_div(r22001, r21991, r21995, MPFR_RNDN);
        mpfr_neg(r22002, r21991, MPFR_RNDN);
        mpfr_mul(r22003, r22002, r21995, MPFR_RNDN);
        mpfr_fma(r22004, r22000, r22001, r22003, MPFR_RNDN);
        mpfr_div(r22005, r21994, r21998, MPFR_RNDN);
        mpfr_div(r22006, r22005, r21995, MPFR_RNDN);
        mpfr_div(r22007, r21991, r21998, MPFR_RNDN);
        mpfr_add(r22008, r22007, r21991, MPFR_RNDN);
        mpfr_mul(r22009, r22006, r22008, MPFR_RNDN);
        mpfr_sub(r22010, r22004, r22009, MPFR_RNDN);
        mpfr_div(r22011, r21996, r22010, MPFR_RNDN);
        ;
        mpfr_set_si(r22013, mpfr_cmp(r21991, r22012) <= 0, MPFR_RNDN);
        mpfr_set_d(r22014, l, MPFR_RNDN);
        mpfr_div(r22015, r22014, r21998, MPFR_RNDN);
        mpfr_mul(r22016, r21991, r21991, MPFR_RNDN);
        mpfr_fma(r22017, r22015, r22014, r22016, MPFR_RNDN);
        ;
        mpfr_div(r22019, r22018, r21998, MPFR_RNDN);
        mpfr_mul(r22020, r22019, r22016, MPFR_RNDN);
        mpfr_fma(r22021, r21994, r22017, r22020, MPFR_RNDN);
        mpfr_sqrt(r22022, r22021, MPFR_RNDN);
        mpfr_sqrt(r22023, r22022, MPFR_RNDN);
        mpfr_mul(r22024, r22023, r22023, MPFR_RNDN);
        mpfr_div(r22025, r21996, r22024, MPFR_RNDN);
        ;
        mpfr_set_si(r22027, mpfr_cmp(r21991, r22026) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r22029, mpfr_cmp(r21991, r22028) <= 0, MPFR_RNDN);
        mpfr_div(r22030, r21994, r21995, MPFR_RNDN);
        mpfr_div(r22031, r22007, r21998, MPFR_RNDN);
        mpfr_add(r22032, r22031, r22007, MPFR_RNDN);
        mpfr_neg(r22033, r21997, MPFR_RNDN);
        mpfr_div(r22034, r22033, r21995, MPFR_RNDN);
        mpfr_fma(r22035, r22034, r22031, r21996, MPFR_RNDN);
        mpfr_fma(r22036, r22030, r22032, r22035, MPFR_RNDN);
        mpfr_div(r22037, r21996, r22036, MPFR_RNDN);
        if (mpfr_get_si(r22029, MPFR_RNDN)) { mpfr_set(r22038, r22025, MPFR_RNDN); } else { mpfr_set(r22038, r22037, MPFR_RNDN); };
        if (mpfr_get_si(r22027, MPFR_RNDN)) { mpfr_set(r22039, r22011, MPFR_RNDN); } else { mpfr_set(r22039, r22038, MPFR_RNDN); };
        if (mpfr_get_si(r22013, MPFR_RNDN)) { mpfr_set(r22040, r22025, MPFR_RNDN); } else { mpfr_set(r22040, r22039, MPFR_RNDN); };
        if (mpfr_get_si(r21993, MPFR_RNDN)) { mpfr_set(r22041, r22011, MPFR_RNDN); } else { mpfr_set(r22041, r22040, MPFR_RNDN); };
        return mpfr_get_d(r22041, MPFR_RNDN);
}