#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_2F2, float c) {
        float r22892 = b_2F2;
        float r22893 = -r22892;
        float r22894 = r22892 * r22892;
        float r22895 = a;
        float r22896 = c;
        float r22897 = r22895 * r22896;
        float r22898 = r22894 - r22897;
        float r22899 = sqrt(r22898);
        float r22900 = r22893 - r22899;
        float r22901 = r22900 / r22895;
        return r22901;
}

double f_id(double a, double b_2F2, double c) {
        double r22902 = b_2F2;
        double r22903 = -r22902;
        double r22904 = r22902 * r22902;
        double r22905 = a;
        double r22906 = c;
        double r22907 = r22905 * r22906;
        double r22908 = r22904 - r22907;
        double r22909 = sqrt(r22908);
        double r22910 = r22903 - r22909;
        double r22911 = r22910 / r22905;
        return r22911;
}


double f_of(float a, float b_2F2, float c) {
        float r22912 = b_2F2;
        float r22913 = -4.005537006288397e-85;
        bool r22914 = r22912 <= r22913;
        float r22915 = c;
        float r22916 = r22915 / r22912;
        float r22917 = -1/2;
        float r22918 = r22916 * r22917;
        float r22919 = 1.026219862232508e+81;
        bool r22920 = r22912 <= r22919;
        float r22921 = 1;
        float r22922 = a;
        float r22923 = -r22912;
        float r22924 = r22912 * r22912;
        float r22925 = r22922 * r22915;
        float r22926 = r22924 - r22925;
        float r22927 = sqrt(r22926);
        float r22928 = r22923 - r22927;
        float r22929 = r22922 / r22928;
        float r22930 = r22921 / r22929;
        float r22931 = 1/2;
        float r22932 = r22931 * r22916;
        float r22933 = r22923 - r22912;
        float r22934 = r22933 / r22922;
        float r22935 = r22932 + r22934;
        float r22936 = r22920 ? r22930 : r22935;
        float r22937 = r22914 ? r22918 : r22936;
        return r22937;
}

double f_od(double a, double b_2F2, double c) {
        double r22938 = b_2F2;
        double r22939 = -4.005537006288397e-85;
        bool r22940 = r22938 <= r22939;
        double r22941 = c;
        double r22942 = r22941 / r22938;
        double r22943 = -1/2;
        double r22944 = r22942 * r22943;
        double r22945 = 1.026219862232508e+81;
        bool r22946 = r22938 <= r22945;
        double r22947 = 1;
        double r22948 = a;
        double r22949 = -r22938;
        double r22950 = r22938 * r22938;
        double r22951 = r22948 * r22941;
        double r22952 = r22950 - r22951;
        double r22953 = sqrt(r22952);
        double r22954 = r22949 - r22953;
        double r22955 = r22948 / r22954;
        double r22956 = r22947 / r22955;
        double r22957 = 1/2;
        double r22958 = r22957 * r22942;
        double r22959 = r22949 - r22938;
        double r22960 = r22959 / r22948;
        double r22961 = r22958 + r22960;
        double r22962 = r22946 ? r22956 : r22961;
        double r22963 = r22940 ? r22944 : r22962;
        return r22963;
}

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 r22964, r22965, r22966, r22967, r22968, r22969, r22970, r22971, r22972, r22973;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3472);
        mpfr_init(r22964);
        mpfr_init(r22965);
        mpfr_init(r22966);
        mpfr_init(r22967);
        mpfr_init(r22968);
        mpfr_init(r22969);
        mpfr_init(r22970);
        mpfr_init(r22971);
        mpfr_init(r22972);
        mpfr_init(r22973);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r22964, b_2F2, MPFR_RNDN);
        mpfr_neg(r22965, r22964, MPFR_RNDN);
        mpfr_mul(r22966, r22964, r22964, MPFR_RNDN);
        mpfr_set_d(r22967, a, MPFR_RNDN);
        mpfr_set_d(r22968, c, MPFR_RNDN);
        mpfr_mul(r22969, r22967, r22968, MPFR_RNDN);
        mpfr_sub(r22970, r22966, r22969, MPFR_RNDN);
        mpfr_sqrt(r22971, r22970, MPFR_RNDN);
        mpfr_sub(r22972, r22965, r22971, MPFR_RNDN);
        mpfr_div(r22973, r22972, r22967, MPFR_RNDN);
        return mpfr_get_d(r22973, MPFR_RNDN);
}

static mpfr_t r22974, r22975, r22976, r22977, r22978, r22979, r22980, r22981, r22982, r22983, r22984, r22985, r22986, r22987, r22988, r22989, r22990, r22991, r22992, r22993, r22994, r22995, r22996, r22997, r22998, r22999;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3472);
        mpfr_init(r22974);
        mpfr_init_set_str(r22975, "-4.005537006288397e-85", 10, MPFR_RNDN);
        mpfr_init(r22976);
        mpfr_init(r22977);
        mpfr_init(r22978);
        mpfr_init_set_str(r22979, "-1/2", 10, MPFR_RNDN);
        mpfr_init(r22980);
        mpfr_init_set_str(r22981, "1.026219862232508e+81", 10, MPFR_RNDN);
        mpfr_init(r22982);
        mpfr_init_set_str(r22983, "1", 10, MPFR_RNDN);
        mpfr_init(r22984);
        mpfr_init(r22985);
        mpfr_init(r22986);
        mpfr_init(r22987);
        mpfr_init(r22988);
        mpfr_init(r22989);
        mpfr_init(r22990);
        mpfr_init(r22991);
        mpfr_init(r22992);
        mpfr_init_set_str(r22993, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22994);
        mpfr_init(r22995);
        mpfr_init(r22996);
        mpfr_init(r22997);
        mpfr_init(r22998);
        mpfr_init(r22999);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r22974, b_2F2, MPFR_RNDN);
        ;
        mpfr_set_si(r22976, mpfr_cmp(r22974, r22975) <= 0, MPFR_RNDN);
        mpfr_set_d(r22977, c, MPFR_RNDN);
        mpfr_div(r22978, r22977, r22974, MPFR_RNDN);
        ;
        mpfr_mul(r22980, r22978, r22979, MPFR_RNDN);
        ;
        mpfr_set_si(r22982, mpfr_cmp(r22974, r22981) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r22984, a, MPFR_RNDN);
        mpfr_neg(r22985, r22974, MPFR_RNDN);
        mpfr_mul(r22986, r22974, r22974, MPFR_RNDN);
        mpfr_mul(r22987, r22984, r22977, MPFR_RNDN);
        mpfr_sub(r22988, r22986, r22987, MPFR_RNDN);
        mpfr_sqrt(r22989, r22988, MPFR_RNDN);
        mpfr_sub(r22990, r22985, r22989, MPFR_RNDN);
        mpfr_div(r22991, r22984, r22990, MPFR_RNDN);
        mpfr_div(r22992, r22983, r22991, MPFR_RNDN);
        ;
        mpfr_mul(r22994, r22993, r22978, MPFR_RNDN);
        mpfr_sub(r22995, r22985, r22974, MPFR_RNDN);
        mpfr_div(r22996, r22995, r22984, MPFR_RNDN);
        mpfr_add(r22997, r22994, r22996, MPFR_RNDN);
        if (mpfr_get_si(r22982, MPFR_RNDN)) { mpfr_set(r22998, r22992, MPFR_RNDN); } else { mpfr_set(r22998, r22997, MPFR_RNDN); };
        if (mpfr_get_si(r22976, MPFR_RNDN)) { mpfr_set(r22999, r22980, MPFR_RNDN); } else { mpfr_set(r22999, r22998, MPFR_RNDN); };
        return mpfr_get_d(r22999, MPFR_RNDN);
}

static mpfr_t r23000, r23001, r23002, r23003, r23004, r23005, r23006, r23007, r23008, r23009, r23010, r23011, r23012, r23013, r23014, r23015, r23016, r23017, r23018, r23019, r23020, r23021, r23022, r23023, r23024, r23025;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3472);
        mpfr_init(r23000);
        mpfr_init_set_str(r23001, "-4.005537006288397e-85", 10, MPFR_RNDN);
        mpfr_init(r23002);
        mpfr_init(r23003);
        mpfr_init(r23004);
        mpfr_init_set_str(r23005, "-1/2", 10, MPFR_RNDN);
        mpfr_init(r23006);
        mpfr_init_set_str(r23007, "1.026219862232508e+81", 10, MPFR_RNDN);
        mpfr_init(r23008);
        mpfr_init_set_str(r23009, "1", 10, MPFR_RNDN);
        mpfr_init(r23010);
        mpfr_init(r23011);
        mpfr_init(r23012);
        mpfr_init(r23013);
        mpfr_init(r23014);
        mpfr_init(r23015);
        mpfr_init(r23016);
        mpfr_init(r23017);
        mpfr_init(r23018);
        mpfr_init_set_str(r23019, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23020);
        mpfr_init(r23021);
        mpfr_init(r23022);
        mpfr_init(r23023);
        mpfr_init(r23024);
        mpfr_init(r23025);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r23000, b_2F2, MPFR_RNDN);
        ;
        mpfr_set_si(r23002, mpfr_cmp(r23000, r23001) <= 0, MPFR_RNDN);
        mpfr_set_d(r23003, c, MPFR_RNDN);
        mpfr_div(r23004, r23003, r23000, MPFR_RNDN);
        ;
        mpfr_mul(r23006, r23004, r23005, MPFR_RNDN);
        ;
        mpfr_set_si(r23008, mpfr_cmp(r23000, r23007) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r23010, a, MPFR_RNDN);
        mpfr_neg(r23011, r23000, MPFR_RNDN);
        mpfr_mul(r23012, r23000, r23000, MPFR_RNDN);
        mpfr_mul(r23013, r23010, r23003, MPFR_RNDN);
        mpfr_sub(r23014, r23012, r23013, MPFR_RNDN);
        mpfr_sqrt(r23015, r23014, MPFR_RNDN);
        mpfr_sub(r23016, r23011, r23015, MPFR_RNDN);
        mpfr_div(r23017, r23010, r23016, MPFR_RNDN);
        mpfr_div(r23018, r23009, r23017, MPFR_RNDN);
        ;
        mpfr_mul(r23020, r23019, r23004, MPFR_RNDN);
        mpfr_sub(r23021, r23011, r23000, MPFR_RNDN);
        mpfr_div(r23022, r23021, r23010, MPFR_RNDN);
        mpfr_add(r23023, r23020, r23022, MPFR_RNDN);
        if (mpfr_get_si(r23008, MPFR_RNDN)) { mpfr_set(r23024, r23018, MPFR_RNDN); } else { mpfr_set(r23024, r23023, MPFR_RNDN); };
        if (mpfr_get_si(r23002, MPFR_RNDN)) { mpfr_set(r23025, r23006, MPFR_RNDN); } else { mpfr_set(r23025, r23024, MPFR_RNDN); };
        return mpfr_get_d(r23025, MPFR_RNDN);
}