#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 = -2.874810909131491e-160f;
        bool r16924 = r16922 <= r16923;
        float r16925 = c;
        float r16926 = a;
        float r16927 = 0.5f;
        float r16928 = r16926 * r16927;
        float r16929 = r16925 / r16922;
        float r16930 = r16928 * r16929;
        float r16931 = -r16922;
        float r16932 = r16922 - r16931;
        float r16933 = r16930 - r16932;
        float r16934 = r16925 / r16933;
        float r16935 = 8.164018341878614e+86f;
        bool r16936 = r16922 <= r16935;
        float r16937 = 1.0f;
        float r16938 = r16922 * r16922;
        float r16939 = r16926 * r16925;
        float r16940 = r16938 - r16939;
        float r16941 = sqrt(r16940);
        float r16942 = r16931 - r16941;
        float r16943 = r16926 / r16942;
        float r16944 = r16937 / r16943;
        float r16945 = r16922 / r16925;
        float r16946 = r16927 / r16945;
        float r16947 = r16922 / r16926;
        float r16948 = 2.0f;
        float r16949 = r16947 * r16948;
        float r16950 = r16946 - r16949;
        float r16951 = r16936 ? r16944 : r16950;
        float r16952 = r16924 ? r16934 : r16951;
        return r16952;
}

double f_od(double a, double b_2F2, double c) {
        double r16953 = b_2F2;
        double r16954 = -2.874810909131491e-160;
        bool r16955 = r16953 <= r16954;
        double r16956 = c;
        double r16957 = a;
        double r16958 = 0.5;
        double r16959 = r16957 * r16958;
        double r16960 = r16956 / r16953;
        double r16961 = r16959 * r16960;
        double r16962 = -r16953;
        double r16963 = r16953 - r16962;
        double r16964 = r16961 - r16963;
        double r16965 = r16956 / r16964;
        double r16966 = 8.164018341878614e+86;
        bool r16967 = r16953 <= r16966;
        double r16968 = 1.0;
        double r16969 = r16953 * r16953;
        double r16970 = r16957 * r16956;
        double r16971 = r16969 - r16970;
        double r16972 = sqrt(r16971);
        double r16973 = r16962 - r16972;
        double r16974 = r16957 / r16973;
        double r16975 = r16968 / r16974;
        double r16976 = r16953 / r16956;
        double r16977 = r16958 / r16976;
        double r16978 = r16953 / r16957;
        double r16979 = 2.0;
        double r16980 = r16978 * r16979;
        double r16981 = r16977 - r16980;
        double r16982 = r16967 ? r16975 : r16981;
        double r16983 = r16955 ? r16965 : r16982;
        return r16983;
}

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 r16984, r16985, r16986, r16987, r16988, r16989, r16990, r16991, r16992, r16993;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16984);
        mpfr_init(r16985);
        mpfr_init(r16986);
        mpfr_init(r16987);
        mpfr_init(r16988);
        mpfr_init(r16989);
        mpfr_init(r16990);
        mpfr_init(r16991);
        mpfr_init(r16992);
        mpfr_init(r16993);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16984, b_2F2, MPFR_RNDN);
        mpfr_neg(r16985, r16984, MPFR_RNDN);
        mpfr_sqr(r16986, r16984, MPFR_RNDN);
        mpfr_set_d(r16987, a, MPFR_RNDN);
        mpfr_set_d(r16988, c, MPFR_RNDN);
        mpfr_mul(r16989, r16987, r16988, MPFR_RNDN);
        mpfr_sub(r16990, r16986, r16989, MPFR_RNDN);
        mpfr_sqrt(r16991, r16990, MPFR_RNDN);
        mpfr_sub(r16992, r16985, r16991, MPFR_RNDN);
        mpfr_div(r16993, r16992, r16987, MPFR_RNDN);
        return mpfr_get_d(r16993, MPFR_RNDN);
}

static mpfr_t 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, r17019, r17020, r17021, r17022, r17023, r17024;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16994);
        mpfr_init_set_str(r16995, "-2.874810909131491e-160", 10, MPFR_RNDN);
        mpfr_init(r16996);
        mpfr_init(r16997);
        mpfr_init(r16998);
        mpfr_init_set_str(r16999, "1/2", 10, MPFR_RNDN);
        mpfr_init(r17000);
        mpfr_init(r17001);
        mpfr_init(r17002);
        mpfr_init(r17003);
        mpfr_init(r17004);
        mpfr_init(r17005);
        mpfr_init(r17006);
        mpfr_init_set_str(r17007, "8.164018341878614e+86", 10, MPFR_RNDN);
        mpfr_init(r17008);
        mpfr_init_set_str(r17009, "1", 10, MPFR_RNDN);
        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);
        mpfr_init(r17019);
        mpfr_init_set_str(r17020, "2", 10, MPFR_RNDN);
        mpfr_init(r17021);
        mpfr_init(r17022);
        mpfr_init(r17023);
        mpfr_init(r17024);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16994, b_2F2, MPFR_RNDN);
        ;
        mpfr_set_si(r16996, mpfr_cmp(r16994, r16995) <= 0, MPFR_RNDN);
        mpfr_set_d(r16997, c, MPFR_RNDN);
        mpfr_set_d(r16998, a, MPFR_RNDN);
        ;
        mpfr_mul(r17000, r16998, r16999, MPFR_RNDN);
        mpfr_div(r17001, r16997, r16994, MPFR_RNDN);
        mpfr_mul(r17002, r17000, r17001, MPFR_RNDN);
        mpfr_neg(r17003, r16994, MPFR_RNDN);
        mpfr_sub(r17004, r16994, r17003, MPFR_RNDN);
        mpfr_sub(r17005, r17002, r17004, MPFR_RNDN);
        mpfr_div(r17006, r16997, r17005, MPFR_RNDN);
        ;
        mpfr_set_si(r17008, mpfr_cmp(r16994, r17007) <= 0, MPFR_RNDN);
        ;
        mpfr_sqr(r17010, r16994, MPFR_RNDN);
        mpfr_mul(r17011, r16998, r16997, MPFR_RNDN);
        mpfr_sub(r17012, r17010, r17011, MPFR_RNDN);
        mpfr_sqrt(r17013, r17012, MPFR_RNDN);
        mpfr_sub(r17014, r17003, r17013, MPFR_RNDN);
        mpfr_div(r17015, r16998, r17014, MPFR_RNDN);
        mpfr_div(r17016, r17009, r17015, MPFR_RNDN);
        mpfr_div(r17017, r16994, r16997, MPFR_RNDN);
        mpfr_div(r17018, r16999, r17017, MPFR_RNDN);
        mpfr_div(r17019, r16994, r16998, MPFR_RNDN);
        ;
        mpfr_mul(r17021, r17019, r17020, MPFR_RNDN);
        mpfr_sub(r17022, r17018, r17021, MPFR_RNDN);
        if (mpfr_get_si(r17008, MPFR_RNDN)) { mpfr_set(r17023, r17016, MPFR_RNDN); } else { mpfr_set(r17023, r17022, MPFR_RNDN); };
        if (mpfr_get_si(r16996, MPFR_RNDN)) { mpfr_set(r17024, r17006, MPFR_RNDN); } else { mpfr_set(r17024, r17023, MPFR_RNDN); };
        return mpfr_get_d(r17024, MPFR_RNDN);
}

static mpfr_t r17025, r17026, r17027, r17028, r17029, r17030, r17031, r17032, r17033, r17034, r17035, r17036, r17037, r17038, r17039, r17040, r17041, r17042, r17043, r17044, r17045, r17046, r17047, r17048, r17049, r17050, r17051, r17052, r17053, r17054, r17055;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r17025);
        mpfr_init_set_str(r17026, "-2.874810909131491e-160", 10, MPFR_RNDN);
        mpfr_init(r17027);
        mpfr_init(r17028);
        mpfr_init(r17029);
        mpfr_init_set_str(r17030, "1/2", 10, MPFR_RNDN);
        mpfr_init(r17031);
        mpfr_init(r17032);
        mpfr_init(r17033);
        mpfr_init(r17034);
        mpfr_init(r17035);
        mpfr_init(r17036);
        mpfr_init(r17037);
        mpfr_init_set_str(r17038, "8.164018341878614e+86", 10, MPFR_RNDN);
        mpfr_init(r17039);
        mpfr_init_set_str(r17040, "1", 10, MPFR_RNDN);
        mpfr_init(r17041);
        mpfr_init(r17042);
        mpfr_init(r17043);
        mpfr_init(r17044);
        mpfr_init(r17045);
        mpfr_init(r17046);
        mpfr_init(r17047);
        mpfr_init(r17048);
        mpfr_init(r17049);
        mpfr_init(r17050);
        mpfr_init_set_str(r17051, "2", 10, MPFR_RNDN);
        mpfr_init(r17052);
        mpfr_init(r17053);
        mpfr_init(r17054);
        mpfr_init(r17055);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r17025, b_2F2, MPFR_RNDN);
        ;
        mpfr_set_si(r17027, mpfr_cmp(r17025, r17026) <= 0, MPFR_RNDN);
        mpfr_set_d(r17028, c, MPFR_RNDN);
        mpfr_set_d(r17029, a, MPFR_RNDN);
        ;
        mpfr_mul(r17031, r17029, r17030, MPFR_RNDN);
        mpfr_div(r17032, r17028, r17025, MPFR_RNDN);
        mpfr_mul(r17033, r17031, r17032, MPFR_RNDN);
        mpfr_neg(r17034, r17025, MPFR_RNDN);
        mpfr_sub(r17035, r17025, r17034, MPFR_RNDN);
        mpfr_sub(r17036, r17033, r17035, MPFR_RNDN);
        mpfr_div(r17037, r17028, r17036, MPFR_RNDN);
        ;
        mpfr_set_si(r17039, mpfr_cmp(r17025, r17038) <= 0, MPFR_RNDN);
        ;
        mpfr_sqr(r17041, r17025, MPFR_RNDN);
        mpfr_mul(r17042, r17029, r17028, MPFR_RNDN);
        mpfr_sub(r17043, r17041, r17042, MPFR_RNDN);
        mpfr_sqrt(r17044, r17043, MPFR_RNDN);
        mpfr_sub(r17045, r17034, r17044, MPFR_RNDN);
        mpfr_div(r17046, r17029, r17045, MPFR_RNDN);
        mpfr_div(r17047, r17040, r17046, MPFR_RNDN);
        mpfr_div(r17048, r17025, r17028, MPFR_RNDN);
        mpfr_div(r17049, r17030, r17048, MPFR_RNDN);
        mpfr_div(r17050, r17025, r17029, MPFR_RNDN);
        ;
        mpfr_mul(r17052, r17050, r17051, MPFR_RNDN);
        mpfr_sub(r17053, r17049, r17052, MPFR_RNDN);
        if (mpfr_get_si(r17039, MPFR_RNDN)) { mpfr_set(r17054, r17047, MPFR_RNDN); } else { mpfr_set(r17054, r17053, MPFR_RNDN); };
        if (mpfr_get_si(r17027, MPFR_RNDN)) { mpfr_set(r17055, r17037, MPFR_RNDN); } else { mpfr_set(r17055, r17054, MPFR_RNDN); };
        return mpfr_get_d(r17055, MPFR_RNDN);
}