#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 r23895 = b_2;
        float r23896 = -r23895;
        float r23897 = r23895 * r23895;
        float r23898 = a;
        float r23899 = c;
        float r23900 = r23898 * r23899;
        float r23901 = r23897 - r23900;
        float r23902 = sqrt(r23901);
        float r23903 = r23896 - r23902;
        float r23904 = r23903 / r23898;
        return r23904;
}

double f_id(double a, double b_2, double c) {
        double r23905 = b_2;
        double r23906 = -r23905;
        double r23907 = r23905 * r23905;
        double r23908 = a;
        double r23909 = c;
        double r23910 = r23908 * r23909;
        double r23911 = r23907 - r23910;
        double r23912 = sqrt(r23911);
        double r23913 = r23906 - r23912;
        double r23914 = r23913 / r23908;
        return r23914;
}


double f_of(float a, float b_2, float c) {
        float r23915 = b_2;
        float r23916 = -1.1664746849336278e-95;
        bool r23917 = r23915 <= r23916;
        float r23918 = -1/2;
        float r23919 = c;
        float r23920 = r23919 / r23915;
        float r23921 = r23918 * r23920;
        float r23922 = 6.586964650891113e+151;
        bool r23923 = r23915 <= r23922;
        float r23924 = -r23915;
        float r23925 = a;
        float r23926 = r23924 / r23925;
        float r23927 = r23915 * r23915;
        float r23928 = r23925 * r23919;
        float r23929 = r23927 - r23928;
        float r23930 = sqrt(r23929);
        float r23931 = r23930 / r23925;
        float r23932 = r23926 - r23931;
        float r23933 = r23925 / r23915;
        float r23934 = 1/2;
        float r23935 = r23934 * r23919;
        float r23936 = r23933 * r23935;
        float r23937 = r23915 + r23915;
        float r23938 = r23936 - r23937;
        float r23939 = r23938 / r23925;
        float r23940 = r23923 ? r23932 : r23939;
        float r23941 = r23917 ? r23921 : r23940;
        return r23941;
}

double f_od(double a, double b_2, double c) {
        double r23942 = b_2;
        double r23943 = -1.1664746849336278e-95;
        bool r23944 = r23942 <= r23943;
        double r23945 = -1/2;
        double r23946 = c;
        double r23947 = r23946 / r23942;
        double r23948 = r23945 * r23947;
        double r23949 = 6.586964650891113e+151;
        bool r23950 = r23942 <= r23949;
        double r23951 = -r23942;
        double r23952 = a;
        double r23953 = r23951 / r23952;
        double r23954 = r23942 * r23942;
        double r23955 = r23952 * r23946;
        double r23956 = r23954 - r23955;
        double r23957 = sqrt(r23956);
        double r23958 = r23957 / r23952;
        double r23959 = r23953 - r23958;
        double r23960 = r23952 / r23942;
        double r23961 = 1/2;
        double r23962 = r23961 * r23946;
        double r23963 = r23960 * r23962;
        double r23964 = r23942 + r23942;
        double r23965 = r23963 - r23964;
        double r23966 = r23965 / r23952;
        double r23967 = r23950 ? r23959 : r23966;
        double r23968 = r23944 ? r23948 : r23967;
        return r23968;
}

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 r23969, r23970, r23971, r23972, r23973, r23974, r23975, r23976, r23977, r23978;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3408);
        mpfr_init(r23969);
        mpfr_init(r23970);
        mpfr_init(r23971);
        mpfr_init(r23972);
        mpfr_init(r23973);
        mpfr_init(r23974);
        mpfr_init(r23975);
        mpfr_init(r23976);
        mpfr_init(r23977);
        mpfr_init(r23978);
}

double f_im(double a, double b_2, double c) {
        mpfr_set_d(r23969, b_2, MPFR_RNDN);
        mpfr_neg(r23970, r23969, MPFR_RNDN);
        mpfr_mul(r23971, r23969, r23969, MPFR_RNDN);
        mpfr_set_d(r23972, a, MPFR_RNDN);
        mpfr_set_d(r23973, c, MPFR_RNDN);
        mpfr_mul(r23974, r23972, r23973, MPFR_RNDN);
        mpfr_sub(r23975, r23971, r23974, MPFR_RNDN);
        mpfr_sqrt(r23976, r23975, MPFR_RNDN);
        mpfr_sub(r23977, r23970, r23976, MPFR_RNDN);
        mpfr_div(r23978, r23977, r23972, MPFR_RNDN);
        return mpfr_get_d(r23978, MPFR_RNDN);
}

static mpfr_t r23979, r23980, r23981, r23982, r23983, r23984, r23985, r23986, r23987, r23988, r23989, r23990, r23991, r23992, r23993, r23994, r23995, r23996, r23997, r23998, r23999, r24000, r24001, r24002, r24003, r24004, r24005;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3408);
        mpfr_init(r23979);
        mpfr_init_set_str(r23980, "-1.1664746849336278e-95", 10, MPFR_RNDN);
        mpfr_init(r23981);
        mpfr_init_set_str(r23982, "-1/2", 10, MPFR_RNDN);
        mpfr_init(r23983);
        mpfr_init(r23984);
        mpfr_init(r23985);
        mpfr_init_set_str(r23986, "6.586964650891113e+151", 10, MPFR_RNDN);
        mpfr_init(r23987);
        mpfr_init(r23988);
        mpfr_init(r23989);
        mpfr_init(r23990);
        mpfr_init(r23991);
        mpfr_init(r23992);
        mpfr_init(r23993);
        mpfr_init(r23994);
        mpfr_init(r23995);
        mpfr_init(r23996);
        mpfr_init(r23997);
        mpfr_init_set_str(r23998, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23999);
        mpfr_init(r24000);
        mpfr_init(r24001);
        mpfr_init(r24002);
        mpfr_init(r24003);
        mpfr_init(r24004);
        mpfr_init(r24005);
}

double f_fm(double a, double b_2, double c) {
        mpfr_set_d(r23979, b_2, MPFR_RNDN);
        ;
        mpfr_set_si(r23981, mpfr_cmp(r23979, r23980) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r23983, c, MPFR_RNDN);
        mpfr_div(r23984, r23983, r23979, MPFR_RNDN);
        mpfr_mul(r23985, r23982, r23984, MPFR_RNDN);
        ;
        mpfr_set_si(r23987, mpfr_cmp(r23979, r23986) <= 0, MPFR_RNDN);
        mpfr_neg(r23988, r23979, MPFR_RNDN);
        mpfr_set_d(r23989, a, MPFR_RNDN);
        mpfr_div(r23990, r23988, r23989, MPFR_RNDN);
        mpfr_mul(r23991, r23979, r23979, MPFR_RNDN);
        mpfr_mul(r23992, r23989, r23983, MPFR_RNDN);
        mpfr_sub(r23993, r23991, r23992, MPFR_RNDN);
        mpfr_sqrt(r23994, r23993, MPFR_RNDN);
        mpfr_div(r23995, r23994, r23989, MPFR_RNDN);
        mpfr_sub(r23996, r23990, r23995, MPFR_RNDN);
        mpfr_div(r23997, r23989, r23979, MPFR_RNDN);
        ;
        mpfr_mul(r23999, r23998, r23983, MPFR_RNDN);
        mpfr_mul(r24000, r23997, r23999, MPFR_RNDN);
        mpfr_add(r24001, r23979, r23979, MPFR_RNDN);
        mpfr_sub(r24002, r24000, r24001, MPFR_RNDN);
        mpfr_div(r24003, r24002, r23989, MPFR_RNDN);
        if (mpfr_get_si(r23987, MPFR_RNDN)) { mpfr_set(r24004, r23996, MPFR_RNDN); } else { mpfr_set(r24004, r24003, MPFR_RNDN); };
        if (mpfr_get_si(r23981, MPFR_RNDN)) { mpfr_set(r24005, r23985, MPFR_RNDN); } else { mpfr_set(r24005, r24004, MPFR_RNDN); };
        return mpfr_get_d(r24005, MPFR_RNDN);
}

static mpfr_t 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;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3408);
        mpfr_init(r24006);
        mpfr_init_set_str(r24007, "-1.1664746849336278e-95", 10, MPFR_RNDN);
        mpfr_init(r24008);
        mpfr_init_set_str(r24009, "-1/2", 10, MPFR_RNDN);
        mpfr_init(r24010);
        mpfr_init(r24011);
        mpfr_init(r24012);
        mpfr_init_set_str(r24013, "6.586964650891113e+151", 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(r24021);
        mpfr_init(r24022);
        mpfr_init(r24023);
        mpfr_init(r24024);
        mpfr_init_set_str(r24025, "1/2", 10, MPFR_RNDN);
        mpfr_init(r24026);
        mpfr_init(r24027);
        mpfr_init(r24028);
        mpfr_init(r24029);
        mpfr_init(r24030);
        mpfr_init(r24031);
        mpfr_init(r24032);
}

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