#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 r16902 = b_2F2;
        float r16903 = -r16902;
        float r16904 = r16902 * r16902;
        float r16905 = a;
        float r16906 = c;
        float r16907 = r16905 * r16906;
        float r16908 = r16904 - r16907;
        float r16909 = sqrt(r16908);
        float r16910 = r16903 - r16909;
        float r16911 = r16910 / r16905;
        return r16911;
}

double f_id(double a, double b_2F2, double c) {
        double r16912 = b_2F2;
        double r16913 = -r16912;
        double r16914 = r16912 * r16912;
        double r16915 = a;
        double r16916 = c;
        double r16917 = r16915 * r16916;
        double r16918 = r16914 - r16917;
        double r16919 = sqrt(r16918);
        double r16920 = r16913 - r16919;
        double r16921 = r16920 / r16915;
        return r16921;
}


double f_of(float a, float b_2F2, float c) {
        float r16922 = b_2F2;
        float r16923 = -2.4795877092067996e-19f;
        bool r16924 = r16922 <= r16923;
        float r16925 = c;
        float r16926 = 0.5f;
        float r16927 = r16926 * r16925;
        float r16928 = a;
        float r16929 = r16928 / r16922;
        float r16930 = r16927 * r16929;
        float r16931 = 2.0f;
        float r16932 = r16931 * r16922;
        float r16933 = r16930 - r16932;
        float r16934 = r16925 / r16933;
        float r16935 = 1.0887108629649695e+34f;
        bool r16936 = r16922 <= r16935;
        float r16937 = -r16922;
        float r16938 = r16922 * r16922;
        float r16939 = r16928 * r16925;
        float r16940 = r16938 - r16939;
        float r16941 = sqrt(r16940);
        float r16942 = r16937 - r16941;
        float r16943 = r16942 / r16928;
        float r16944 = r16922 / r16925;
        float r16945 = r16926 / r16944;
        float r16946 = r16922 / r16928;
        float r16947 = r16946 * r16931;
        float r16948 = r16945 - r16947;
        float r16949 = r16936 ? r16943 : r16948;
        float r16950 = r16924 ? r16934 : r16949;
        return r16950;
}

double f_od(double a, double b_2F2, double c) {
        double r16951 = b_2F2;
        double r16952 = -2.4795877092067996e-19;
        bool r16953 = r16951 <= r16952;
        double r16954 = c;
        double r16955 = 0.5;
        double r16956 = r16955 * r16954;
        double r16957 = a;
        double r16958 = r16957 / r16951;
        double r16959 = r16956 * r16958;
        double r16960 = 2.0;
        double r16961 = r16960 * r16951;
        double r16962 = r16959 - r16961;
        double r16963 = r16954 / r16962;
        double r16964 = 1.0887108629649695e+34;
        bool r16965 = r16951 <= r16964;
        double r16966 = -r16951;
        double r16967 = r16951 * r16951;
        double r16968 = r16957 * r16954;
        double r16969 = r16967 - r16968;
        double r16970 = sqrt(r16969);
        double r16971 = r16966 - r16970;
        double r16972 = r16971 / r16957;
        double r16973 = r16951 / r16954;
        double r16974 = r16955 / r16973;
        double r16975 = r16951 / r16957;
        double r16976 = r16975 * r16960;
        double r16977 = r16974 - r16976;
        double r16978 = r16965 ? r16972 : r16977;
        double r16979 = r16953 ? r16963 : r16978;
        return r16979;
}

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 r16980, r16981, r16982, r16983, r16984, r16985, r16986, r16987, r16988, r16989;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16980);
        mpfr_init(r16981);
        mpfr_init(r16982);
        mpfr_init(r16983);
        mpfr_init(r16984);
        mpfr_init(r16985);
        mpfr_init(r16986);
        mpfr_init(r16987);
        mpfr_init(r16988);
        mpfr_init(r16989);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16980, b_2F2, MPFR_RNDN);
        mpfr_neg(r16981, r16980, MPFR_RNDN);
        mpfr_sqr(r16982, r16980, MPFR_RNDN);
        mpfr_set_d(r16983, a, MPFR_RNDN);
        mpfr_set_d(r16984, c, MPFR_RNDN);
        mpfr_mul(r16985, r16983, r16984, MPFR_RNDN);
        mpfr_sub(r16986, r16982, r16985, MPFR_RNDN);
        mpfr_sqrt(r16987, r16986, MPFR_RNDN);
        mpfr_sub(r16988, r16981, r16987, MPFR_RNDN);
        mpfr_div(r16989, r16988, r16983, MPFR_RNDN);
        return mpfr_get_d(r16989, MPFR_RNDN);
}

static mpfr_t r16990, r16991, r16992, r16993, r16994, r16995, r16996, r16997, r16998, r16999, r17000, r17001, r17002, r17003, r17004, r17005, r17006, r17007, r17008, r17009, r17010, r17011, r17012, r17013, r17014, r17015, r17016, r17017, r17018;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16990);
        mpfr_init_set_str(r16991, "-2.4795877092067996e-19", 10, MPFR_RNDN);
        mpfr_init(r16992);
        mpfr_init(r16993);
        mpfr_init_set_str(r16994, "1/2", 10, MPFR_RNDN);
        mpfr_init(r16995);
        mpfr_init(r16996);
        mpfr_init(r16997);
        mpfr_init(r16998);
        mpfr_init_set_str(r16999, "2", 10, MPFR_RNDN);
        mpfr_init(r17000);
        mpfr_init(r17001);
        mpfr_init(r17002);
        mpfr_init_set_str(r17003, "1.0887108629649695e+34", 10, MPFR_RNDN);
        mpfr_init(r17004);
        mpfr_init(r17005);
        mpfr_init(r17006);
        mpfr_init(r17007);
        mpfr_init(r17008);
        mpfr_init(r17009);
        mpfr_init(r17010);
        mpfr_init(r17011);
        mpfr_init(r17012);
        mpfr_init(r17013);
        mpfr_init(r17014);
        mpfr_init(r17015);
        mpfr_init(r17016);
        mpfr_init(r17017);
        mpfr_init(r17018);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16990, b_2F2, MPFR_RNDN);
        ;
        mpfr_set_si(r16992, mpfr_cmp(r16990, r16991) <= 0, MPFR_RNDN);
        mpfr_set_d(r16993, c, MPFR_RNDN);
        ;
        mpfr_mul(r16995, r16994, r16993, MPFR_RNDN);
        mpfr_set_d(r16996, a, MPFR_RNDN);
        mpfr_div(r16997, r16996, r16990, MPFR_RNDN);
        mpfr_mul(r16998, r16995, r16997, MPFR_RNDN);
        ;
        mpfr_mul(r17000, r16999, r16990, MPFR_RNDN);
        mpfr_sub(r17001, r16998, r17000, MPFR_RNDN);
        mpfr_div(r17002, r16993, r17001, MPFR_RNDN);
        ;
        mpfr_set_si(r17004, mpfr_cmp(r16990, r17003) <= 0, MPFR_RNDN);
        mpfr_neg(r17005, r16990, MPFR_RNDN);
        mpfr_sqr(r17006, r16990, MPFR_RNDN);
        mpfr_mul(r17007, r16996, r16993, MPFR_RNDN);
        mpfr_sub(r17008, r17006, r17007, MPFR_RNDN);
        mpfr_sqrt(r17009, r17008, MPFR_RNDN);
        mpfr_sub(r17010, r17005, r17009, MPFR_RNDN);
        mpfr_div(r17011, r17010, r16996, MPFR_RNDN);
        mpfr_div(r17012, r16990, r16993, MPFR_RNDN);
        mpfr_div(r17013, r16994, r17012, MPFR_RNDN);
        mpfr_div(r17014, r16990, r16996, MPFR_RNDN);
        mpfr_mul(r17015, r17014, r16999, MPFR_RNDN);
        mpfr_sub(r17016, r17013, r17015, MPFR_RNDN);
        if (mpfr_get_si(r17004, MPFR_RNDN)) { mpfr_set(r17017, r17011, MPFR_RNDN); } else { mpfr_set(r17017, r17016, MPFR_RNDN); };
        if (mpfr_get_si(r16992, MPFR_RNDN)) { mpfr_set(r17018, r17002, MPFR_RNDN); } else { mpfr_set(r17018, r17017, MPFR_RNDN); };
        return mpfr_get_d(r17018, MPFR_RNDN);
}

static mpfr_t r17019, r17020, r17021, r17022, r17023, r17024, r17025, r17026, r17027, r17028, r17029, r17030, r17031, r17032, r17033, r17034, r17035, r17036, r17037, r17038, r17039, r17040, r17041, r17042, r17043, r17044, r17045, r17046, r17047;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r17019);
        mpfr_init_set_str(r17020, "-2.4795877092067996e-19", 10, MPFR_RNDN);
        mpfr_init(r17021);
        mpfr_init(r17022);
        mpfr_init_set_str(r17023, "1/2", 10, MPFR_RNDN);
        mpfr_init(r17024);
        mpfr_init(r17025);
        mpfr_init(r17026);
        mpfr_init(r17027);
        mpfr_init_set_str(r17028, "2", 10, MPFR_RNDN);
        mpfr_init(r17029);
        mpfr_init(r17030);
        mpfr_init(r17031);
        mpfr_init_set_str(r17032, "1.0887108629649695e+34", 10, MPFR_RNDN);
        mpfr_init(r17033);
        mpfr_init(r17034);
        mpfr_init(r17035);
        mpfr_init(r17036);
        mpfr_init(r17037);
        mpfr_init(r17038);
        mpfr_init(r17039);
        mpfr_init(r17040);
        mpfr_init(r17041);
        mpfr_init(r17042);
        mpfr_init(r17043);
        mpfr_init(r17044);
        mpfr_init(r17045);
        mpfr_init(r17046);
        mpfr_init(r17047);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r17019, b_2F2, MPFR_RNDN);
        ;
        mpfr_set_si(r17021, mpfr_cmp(r17019, r17020) <= 0, MPFR_RNDN);
        mpfr_set_d(r17022, c, MPFR_RNDN);
        ;
        mpfr_mul(r17024, r17023, r17022, MPFR_RNDN);
        mpfr_set_d(r17025, a, MPFR_RNDN);
        mpfr_div(r17026, r17025, r17019, MPFR_RNDN);
        mpfr_mul(r17027, r17024, r17026, MPFR_RNDN);
        ;
        mpfr_mul(r17029, r17028, r17019, MPFR_RNDN);
        mpfr_sub(r17030, r17027, r17029, MPFR_RNDN);
        mpfr_div(r17031, r17022, r17030, MPFR_RNDN);
        ;
        mpfr_set_si(r17033, mpfr_cmp(r17019, r17032) <= 0, MPFR_RNDN);
        mpfr_neg(r17034, r17019, MPFR_RNDN);
        mpfr_sqr(r17035, r17019, MPFR_RNDN);
        mpfr_mul(r17036, r17025, r17022, MPFR_RNDN);
        mpfr_sub(r17037, r17035, r17036, MPFR_RNDN);
        mpfr_sqrt(r17038, r17037, MPFR_RNDN);
        mpfr_sub(r17039, r17034, r17038, MPFR_RNDN);
        mpfr_div(r17040, r17039, r17025, MPFR_RNDN);
        mpfr_div(r17041, r17019, r17022, MPFR_RNDN);
        mpfr_div(r17042, r17023, r17041, MPFR_RNDN);
        mpfr_div(r17043, r17019, r17025, MPFR_RNDN);
        mpfr_mul(r17044, r17043, r17028, MPFR_RNDN);
        mpfr_sub(r17045, r17042, r17044, MPFR_RNDN);
        if (mpfr_get_si(r17033, MPFR_RNDN)) { mpfr_set(r17046, r17040, MPFR_RNDN); } else { mpfr_set(r17046, r17045, MPFR_RNDN); };
        if (mpfr_get_si(r17021, MPFR_RNDN)) { mpfr_set(r17047, r17031, MPFR_RNDN); } else { mpfr_set(r17047, r17046, MPFR_RNDN); };
        return mpfr_get_d(r17047, MPFR_RNDN);
}