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

char *name = "NMSE problem 3.2.1";

double f_if(float a, float b_2, float c) {
        float r23872 = b_2;
        float r23873 = -r23872;
        float r23874 = r23872 * r23872;
        float r23875 = a;
        float r23876 = c;
        float r23877 = r23875 * r23876;
        float r23878 = r23874 - r23877;
        float r23879 = sqrt(r23878);
        float r23880 = r23873 - r23879;
        float r23881 = r23880 / r23875;
        return r23881;
}

double f_id(double a, double b_2, double c) {
        double r23882 = b_2;
        double r23883 = -r23882;
        double r23884 = r23882 * r23882;
        double r23885 = a;
        double r23886 = c;
        double r23887 = r23885 * r23886;
        double r23888 = r23884 - r23887;
        double r23889 = sqrt(r23888);
        double r23890 = r23883 - r23889;
        double r23891 = r23890 / r23885;
        return r23891;
}


double f_of(float a, float b_2, float c) {
        float r23892 = b_2;
        float r23893 = -1.2686397944521473e+154;
        bool r23894 = r23892 <= r23893;
        float r23895 = c;
        float r23896 = a;
        float r23897 = 1/2;
        float r23898 = r23896 * r23897;
        float r23899 = r23895 / r23892;
        float r23900 = r23898 * r23899;
        float r23901 = r23892 + r23892;
        float r23902 = r23900 - r23901;
        float r23903 = r23895 / r23902;
        float r23904 = 3.0773188623209565e-241;
        bool r23905 = r23892 <= r23904;
        float r23906 = r23892 * r23892;
        float r23907 = r23895 * r23896;
        float r23908 = r23906 - r23907;
        float r23909 = sqrt(r23908);
        float r23910 = r23909 - r23892;
        float r23911 = r23895 / r23910;
        float r23912 = 4.091699826456527e+100;
        bool r23913 = r23892 <= r23912;
        float r23914 = 1;
        float r23915 = -r23892;
        float r23916 = r23915 - r23909;
        float r23917 = r23896 / r23916;
        float r23918 = r23914 / r23917;
        float r23919 = -2;
        float r23920 = r23892 / r23896;
        float r23921 = r23919 * r23920;
        float r23922 = r23913 ? r23918 : r23921;
        float r23923 = r23905 ? r23911 : r23922;
        float r23924 = r23894 ? r23903 : r23923;
        return r23924;
}

double f_od(double a, double b_2, double c) {
        double r23925 = b_2;
        double r23926 = -1.2686397944521473e+154;
        bool r23927 = r23925 <= r23926;
        double r23928 = c;
        double r23929 = a;
        double r23930 = 1/2;
        double r23931 = r23929 * r23930;
        double r23932 = r23928 / r23925;
        double r23933 = r23931 * r23932;
        double r23934 = r23925 + r23925;
        double r23935 = r23933 - r23934;
        double r23936 = r23928 / r23935;
        double r23937 = 3.0773188623209565e-241;
        bool r23938 = r23925 <= r23937;
        double r23939 = r23925 * r23925;
        double r23940 = r23928 * r23929;
        double r23941 = r23939 - r23940;
        double r23942 = sqrt(r23941);
        double r23943 = r23942 - r23925;
        double r23944 = r23928 / r23943;
        double r23945 = 4.091699826456527e+100;
        bool r23946 = r23925 <= r23945;
        double r23947 = 1;
        double r23948 = -r23925;
        double r23949 = r23948 - r23942;
        double r23950 = r23929 / r23949;
        double r23951 = r23947 / r23950;
        double r23952 = -2;
        double r23953 = r23925 / r23929;
        double r23954 = r23952 * r23953;
        double r23955 = r23946 ? r23951 : r23954;
        double r23956 = r23938 ? r23944 : r23955;
        double r23957 = r23927 ? r23936 : r23956;
        return r23957;
}

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 r23958, r23959, r23960, r23961, r23962, r23963, r23964, r23965, r23966, r23967;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3408);
        mpfr_init(r23958);
        mpfr_init(r23959);
        mpfr_init(r23960);
        mpfr_init(r23961);
        mpfr_init(r23962);
        mpfr_init(r23963);
        mpfr_init(r23964);
        mpfr_init(r23965);
        mpfr_init(r23966);
        mpfr_init(r23967);
}

double f_im(double a, double b_2, double c) {
        mpfr_set_d(r23958, b_2, MPFR_RNDN);
        mpfr_neg(r23959, r23958, MPFR_RNDN);
        mpfr_mul(r23960, r23958, r23958, MPFR_RNDN);
        mpfr_set_d(r23961, a, MPFR_RNDN);
        mpfr_set_d(r23962, c, MPFR_RNDN);
        mpfr_mul(r23963, r23961, r23962, MPFR_RNDN);
        mpfr_sub(r23964, r23960, r23963, MPFR_RNDN);
        mpfr_sqrt(r23965, r23964, MPFR_RNDN);
        mpfr_sub(r23966, r23959, r23965, MPFR_RNDN);
        mpfr_div(r23967, r23966, r23961, MPFR_RNDN);
        return mpfr_get_d(r23967, MPFR_RNDN);
}

static mpfr_t r23968, r23969, r23970, r23971, r23972, r23973, r23974, r23975, r23976, r23977, r23978, r23979, r23980, r23981, r23982, r23983, r23984, r23985, r23986, r23987, r23988, r23989, r23990, r23991, r23992, r23993, r23994, r23995, r23996, r23997, r23998, r23999, r24000;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3408);
        mpfr_init(r23968);
        mpfr_init_set_str(r23969, "-1.2686397944521473e+154", 10, MPFR_RNDN);
        mpfr_init(r23970);
        mpfr_init(r23971);
        mpfr_init(r23972);
        mpfr_init_set_str(r23973, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23974);
        mpfr_init(r23975);
        mpfr_init(r23976);
        mpfr_init(r23977);
        mpfr_init(r23978);
        mpfr_init(r23979);
        mpfr_init_set_str(r23980, "3.0773188623209565e-241", 10, MPFR_RNDN);
        mpfr_init(r23981);
        mpfr_init(r23982);
        mpfr_init(r23983);
        mpfr_init(r23984);
        mpfr_init(r23985);
        mpfr_init(r23986);
        mpfr_init(r23987);
        mpfr_init_set_str(r23988, "4.091699826456527e+100", 10, MPFR_RNDN);
        mpfr_init(r23989);
        mpfr_init_set_str(r23990, "1", 10, MPFR_RNDN);
        mpfr_init(r23991);
        mpfr_init(r23992);
        mpfr_init(r23993);
        mpfr_init(r23994);
        mpfr_init_set_str(r23995, "-2", 10, MPFR_RNDN);
        mpfr_init(r23996);
        mpfr_init(r23997);
        mpfr_init(r23998);
        mpfr_init(r23999);
        mpfr_init(r24000);
}

double f_fm(double a, double b_2, double c) {
        mpfr_set_d(r23968, b_2, MPFR_RNDN);
        ;
        mpfr_set_si(r23970, mpfr_cmp(r23968, r23969) <= 0, MPFR_RNDN);
        mpfr_set_d(r23971, c, MPFR_RNDN);
        mpfr_set_d(r23972, a, MPFR_RNDN);
        ;
        mpfr_mul(r23974, r23972, r23973, MPFR_RNDN);
        mpfr_div(r23975, r23971, r23968, MPFR_RNDN);
        mpfr_mul(r23976, r23974, r23975, MPFR_RNDN);
        mpfr_add(r23977, r23968, r23968, MPFR_RNDN);
        mpfr_sub(r23978, r23976, r23977, MPFR_RNDN);
        mpfr_div(r23979, r23971, r23978, MPFR_RNDN);
        ;
        mpfr_set_si(r23981, mpfr_cmp(r23968, r23980) <= 0, MPFR_RNDN);
        mpfr_mul(r23982, r23968, r23968, MPFR_RNDN);
        mpfr_mul(r23983, r23971, r23972, MPFR_RNDN);
        mpfr_sub(r23984, r23982, r23983, MPFR_RNDN);
        mpfr_sqrt(r23985, r23984, MPFR_RNDN);
        mpfr_sub(r23986, r23985, r23968, MPFR_RNDN);
        mpfr_div(r23987, r23971, r23986, MPFR_RNDN);
        ;
        mpfr_set_si(r23989, mpfr_cmp(r23968, r23988) <= 0, MPFR_RNDN);
        ;
        mpfr_neg(r23991, r23968, MPFR_RNDN);
        mpfr_sub(r23992, r23991, r23985, MPFR_RNDN);
        mpfr_div(r23993, r23972, r23992, MPFR_RNDN);
        mpfr_div(r23994, r23990, r23993, MPFR_RNDN);
        ;
        mpfr_div(r23996, r23968, r23972, MPFR_RNDN);
        mpfr_mul(r23997, r23995, r23996, MPFR_RNDN);
        if (mpfr_get_si(r23989, MPFR_RNDN)) { mpfr_set(r23998, r23994, MPFR_RNDN); } else { mpfr_set(r23998, r23997, MPFR_RNDN); };
        if (mpfr_get_si(r23981, MPFR_RNDN)) { mpfr_set(r23999, r23987, MPFR_RNDN); } else { mpfr_set(r23999, r23998, MPFR_RNDN); };
        if (mpfr_get_si(r23970, MPFR_RNDN)) { mpfr_set(r24000, r23979, MPFR_RNDN); } else { mpfr_set(r24000, r23999, MPFR_RNDN); };
        return mpfr_get_d(r24000, MPFR_RNDN);
}

static mpfr_t r24001, r24002, r24003, r24004, r24005, r24006, r24007, r24008, r24009, r24010, r24011, r24012, r24013, r24014, r24015, r24016, r24017, r24018, r24019, r24020, r24021, r24022, r24023, r24024, r24025, r24026, r24027, r24028, r24029, r24030, r24031, r24032, r24033;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3408);
        mpfr_init(r24001);
        mpfr_init_set_str(r24002, "-1.2686397944521473e+154", 10, MPFR_RNDN);
        mpfr_init(r24003);
        mpfr_init(r24004);
        mpfr_init(r24005);
        mpfr_init_set_str(r24006, "1/2", 10, MPFR_RNDN);
        mpfr_init(r24007);
        mpfr_init(r24008);
        mpfr_init(r24009);
        mpfr_init(r24010);
        mpfr_init(r24011);
        mpfr_init(r24012);
        mpfr_init_set_str(r24013, "3.0773188623209565e-241", 10, MPFR_RNDN);
        mpfr_init(r24014);
        mpfr_init(r24015);
        mpfr_init(r24016);
        mpfr_init(r24017);
        mpfr_init(r24018);
        mpfr_init(r24019);
        mpfr_init(r24020);
        mpfr_init_set_str(r24021, "4.091699826456527e+100", 10, MPFR_RNDN);
        mpfr_init(r24022);
        mpfr_init_set_str(r24023, "1", 10, MPFR_RNDN);
        mpfr_init(r24024);
        mpfr_init(r24025);
        mpfr_init(r24026);
        mpfr_init(r24027);
        mpfr_init_set_str(r24028, "-2", 10, MPFR_RNDN);
        mpfr_init(r24029);
        mpfr_init(r24030);
        mpfr_init(r24031);
        mpfr_init(r24032);
        mpfr_init(r24033);
}

double f_dm(double a, double b_2, double c) {
        mpfr_set_d(r24001, b_2, MPFR_RNDN);
        ;
        mpfr_set_si(r24003, mpfr_cmp(r24001, r24002) <= 0, MPFR_RNDN);
        mpfr_set_d(r24004, c, MPFR_RNDN);
        mpfr_set_d(r24005, a, MPFR_RNDN);
        ;
        mpfr_mul(r24007, r24005, r24006, MPFR_RNDN);
        mpfr_div(r24008, r24004, r24001, MPFR_RNDN);
        mpfr_mul(r24009, r24007, r24008, MPFR_RNDN);
        mpfr_add(r24010, r24001, r24001, MPFR_RNDN);
        mpfr_sub(r24011, r24009, r24010, MPFR_RNDN);
        mpfr_div(r24012, r24004, r24011, MPFR_RNDN);
        ;
        mpfr_set_si(r24014, mpfr_cmp(r24001, r24013) <= 0, MPFR_RNDN);
        mpfr_mul(r24015, r24001, r24001, MPFR_RNDN);
        mpfr_mul(r24016, r24004, r24005, MPFR_RNDN);
        mpfr_sub(r24017, r24015, r24016, MPFR_RNDN);
        mpfr_sqrt(r24018, r24017, MPFR_RNDN);
        mpfr_sub(r24019, r24018, r24001, MPFR_RNDN);
        mpfr_div(r24020, r24004, r24019, MPFR_RNDN);
        ;
        mpfr_set_si(r24022, mpfr_cmp(r24001, r24021) <= 0, MPFR_RNDN);
        ;
        mpfr_neg(r24024, r24001, MPFR_RNDN);
        mpfr_sub(r24025, r24024, r24018, MPFR_RNDN);
        mpfr_div(r24026, r24005, r24025, MPFR_RNDN);
        mpfr_div(r24027, r24023, r24026, MPFR_RNDN);
        ;
        mpfr_div(r24029, r24001, r24005, MPFR_RNDN);
        mpfr_mul(r24030, r24028, r24029, MPFR_RNDN);
        if (mpfr_get_si(r24022, MPFR_RNDN)) { mpfr_set(r24031, r24027, MPFR_RNDN); } else { mpfr_set(r24031, r24030, MPFR_RNDN); };
        if (mpfr_get_si(r24014, MPFR_RNDN)) { mpfr_set(r24032, r24020, MPFR_RNDN); } else { mpfr_set(r24032, r24031, MPFR_RNDN); };
        if (mpfr_get_si(r24003, MPFR_RNDN)) { mpfr_set(r24033, r24012, MPFR_RNDN); } else { mpfr_set(r24033, r24032, MPFR_RNDN); };
        return mpfr_get_d(r24033, MPFR_RNDN);
}