#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 r16930 = b_2F2;
        float r16931 = -r16930;
        float r16932 = r16930 * r16930;
        float r16933 = a;
        float r16934 = c;
        float r16935 = r16933 * r16934;
        float r16936 = r16932 - r16935;
        float r16937 = sqrt(r16936);
        float r16938 = r16931 - r16937;
        float r16939 = r16938 / r16933;
        return r16939;
}

double f_id(double a, double b_2F2, double c) {
        double r16940 = b_2F2;
        double r16941 = -r16940;
        double r16942 = r16940 * r16940;
        double r16943 = a;
        double r16944 = c;
        double r16945 = r16943 * r16944;
        double r16946 = r16942 - r16945;
        double r16947 = sqrt(r16946);
        double r16948 = r16941 - r16947;
        double r16949 = r16948 / r16943;
        return r16949;
}


double f_of(float a, float b_2F2, float c) {
        float r16950 = b_2F2;
        float r16951 = -2.874810909131491e-160f;
        bool r16952 = r16950 <= r16951;
        float r16953 = c;
        float r16954 = a;
        float r16955 = 0.5f;
        float r16956 = r16954 * r16955;
        float r16957 = r16953 / r16950;
        float r16958 = r16956 * r16957;
        float r16959 = -r16950;
        float r16960 = r16950 - r16959;
        float r16961 = r16958 - r16960;
        float r16962 = r16953 / r16961;
        float r16963 = 8.164018341878614e+86f;
        bool r16964 = r16950 <= r16963;
        float r16965 = 1.0f;
        float r16966 = r16950 * r16950;
        float r16967 = r16954 * r16953;
        float r16968 = r16966 - r16967;
        float r16969 = sqrt(r16968);
        float r16970 = r16959 - r16969;
        float r16971 = r16954 / r16970;
        float r16972 = r16965 / r16971;
        float r16973 = -2.0f;
        float r16974 = r16950 / r16954;
        float r16975 = r16973 * r16974;
        float r16976 = r16964 ? r16972 : r16975;
        float r16977 = r16952 ? r16962 : r16976;
        return r16977;
}

double f_od(double a, double b_2F2, double c) {
        double r16978 = b_2F2;
        double r16979 = -2.874810909131491e-160;
        bool r16980 = r16978 <= r16979;
        double r16981 = c;
        double r16982 = a;
        double r16983 = 0.5;
        double r16984 = r16982 * r16983;
        double r16985 = r16981 / r16978;
        double r16986 = r16984 * r16985;
        double r16987 = -r16978;
        double r16988 = r16978 - r16987;
        double r16989 = r16986 - r16988;
        double r16990 = r16981 / r16989;
        double r16991 = 8.164018341878614e+86;
        bool r16992 = r16978 <= r16991;
        double r16993 = 1.0;
        double r16994 = r16978 * r16978;
        double r16995 = r16982 * r16981;
        double r16996 = r16994 - r16995;
        double r16997 = sqrt(r16996);
        double r16998 = r16987 - r16997;
        double r16999 = r16982 / r16998;
        double r17000 = r16993 / r16999;
        double r17001 = -2.0;
        double r17002 = r16978 / r16982;
        double r17003 = r17001 * r17002;
        double r17004 = r16992 ? r17000 : r17003;
        double r17005 = r16980 ? r16990 : r17004;
        return r17005;
}

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 r17006, r17007, r17008, r17009, r17010, r17011, r17012, r17013, r17014, r17015;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        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);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r17006, b_2F2, MPFR_RNDN);
        mpfr_neg(r17007, r17006, MPFR_RNDN);
        mpfr_sqr(r17008, r17006, MPFR_RNDN);
        mpfr_set_d(r17009, a, MPFR_RNDN);
        mpfr_set_d(r17010, c, MPFR_RNDN);
        mpfr_mul(r17011, r17009, r17010, MPFR_RNDN);
        mpfr_sub(r17012, r17008, r17011, MPFR_RNDN);
        mpfr_sqrt(r17013, r17012, MPFR_RNDN);
        mpfr_sub(r17014, r17007, r17013, MPFR_RNDN);
        mpfr_div(r17015, r17014, r17009, MPFR_RNDN);
        return mpfr_get_d(r17015, MPFR_RNDN);
}

static mpfr_t r17016, r17017, r17018, 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;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r17016);
        mpfr_init_set_str(r17017, "-2.874810909131491e-160", 10, MPFR_RNDN);
        mpfr_init(r17018);
        mpfr_init(r17019);
        mpfr_init(r17020);
        mpfr_init_set_str(r17021, "1/2", 10, MPFR_RNDN);
        mpfr_init(r17022);
        mpfr_init(r17023);
        mpfr_init(r17024);
        mpfr_init(r17025);
        mpfr_init(r17026);
        mpfr_init(r17027);
        mpfr_init(r17028);
        mpfr_init_set_str(r17029, "8.164018341878614e+86", 10, MPFR_RNDN);
        mpfr_init(r17030);
        mpfr_init_set_str(r17031, "1", 10, MPFR_RNDN);
        mpfr_init(r17032);
        mpfr_init(r17033);
        mpfr_init(r17034);
        mpfr_init(r17035);
        mpfr_init(r17036);
        mpfr_init(r17037);
        mpfr_init(r17038);
        mpfr_init_set_str(r17039, "-2", 10, MPFR_RNDN);
        mpfr_init(r17040);
        mpfr_init(r17041);
        mpfr_init(r17042);
        mpfr_init(r17043);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r17016, b_2F2, MPFR_RNDN);
        ;
        mpfr_set_si(r17018, mpfr_cmp(r17016, r17017) <= 0, MPFR_RNDN);
        mpfr_set_d(r17019, c, MPFR_RNDN);
        mpfr_set_d(r17020, a, MPFR_RNDN);
        ;
        mpfr_mul(r17022, r17020, r17021, MPFR_RNDN);
        mpfr_div(r17023, r17019, r17016, MPFR_RNDN);
        mpfr_mul(r17024, r17022, r17023, MPFR_RNDN);
        mpfr_neg(r17025, r17016, MPFR_RNDN);
        mpfr_sub(r17026, r17016, r17025, MPFR_RNDN);
        mpfr_sub(r17027, r17024, r17026, MPFR_RNDN);
        mpfr_div(r17028, r17019, r17027, MPFR_RNDN);
        ;
        mpfr_set_si(r17030, mpfr_cmp(r17016, r17029) <= 0, MPFR_RNDN);
        ;
        mpfr_sqr(r17032, r17016, MPFR_RNDN);
        mpfr_mul(r17033, r17020, r17019, MPFR_RNDN);
        mpfr_sub(r17034, r17032, r17033, MPFR_RNDN);
        mpfr_sqrt(r17035, r17034, MPFR_RNDN);
        mpfr_sub(r17036, r17025, r17035, MPFR_RNDN);
        mpfr_div(r17037, r17020, r17036, MPFR_RNDN);
        mpfr_div(r17038, r17031, r17037, MPFR_RNDN);
        ;
        mpfr_div(r17040, r17016, r17020, MPFR_RNDN);
        mpfr_mul(r17041, r17039, r17040, MPFR_RNDN);
        if (mpfr_get_si(r17030, MPFR_RNDN)) { mpfr_set(r17042, r17038, MPFR_RNDN); } else { mpfr_set(r17042, r17041, MPFR_RNDN); };
        if (mpfr_get_si(r17018, MPFR_RNDN)) { mpfr_set(r17043, r17028, MPFR_RNDN); } else { mpfr_set(r17043, r17042, MPFR_RNDN); };
        return mpfr_get_d(r17043, MPFR_RNDN);
}

static mpfr_t r17044, r17045, r17046, r17047, r17048, r17049, r17050, r17051, r17052, r17053, r17054, r17055, r17056, r17057, r17058, r17059, r17060, r17061, r17062, r17063, r17064, r17065, r17066, r17067, r17068, r17069, r17070, r17071;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r17044);
        mpfr_init_set_str(r17045, "-2.874810909131491e-160", 10, MPFR_RNDN);
        mpfr_init(r17046);
        mpfr_init(r17047);
        mpfr_init(r17048);
        mpfr_init_set_str(r17049, "1/2", 10, MPFR_RNDN);
        mpfr_init(r17050);
        mpfr_init(r17051);
        mpfr_init(r17052);
        mpfr_init(r17053);
        mpfr_init(r17054);
        mpfr_init(r17055);
        mpfr_init(r17056);
        mpfr_init_set_str(r17057, "8.164018341878614e+86", 10, MPFR_RNDN);
        mpfr_init(r17058);
        mpfr_init_set_str(r17059, "1", 10, MPFR_RNDN);
        mpfr_init(r17060);
        mpfr_init(r17061);
        mpfr_init(r17062);
        mpfr_init(r17063);
        mpfr_init(r17064);
        mpfr_init(r17065);
        mpfr_init(r17066);
        mpfr_init_set_str(r17067, "-2", 10, MPFR_RNDN);
        mpfr_init(r17068);
        mpfr_init(r17069);
        mpfr_init(r17070);
        mpfr_init(r17071);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r17044, b_2F2, MPFR_RNDN);
        ;
        mpfr_set_si(r17046, mpfr_cmp(r17044, r17045) <= 0, MPFR_RNDN);
        mpfr_set_d(r17047, c, MPFR_RNDN);
        mpfr_set_d(r17048, a, MPFR_RNDN);
        ;
        mpfr_mul(r17050, r17048, r17049, MPFR_RNDN);
        mpfr_div(r17051, r17047, r17044, MPFR_RNDN);
        mpfr_mul(r17052, r17050, r17051, MPFR_RNDN);
        mpfr_neg(r17053, r17044, MPFR_RNDN);
        mpfr_sub(r17054, r17044, r17053, MPFR_RNDN);
        mpfr_sub(r17055, r17052, r17054, MPFR_RNDN);
        mpfr_div(r17056, r17047, r17055, MPFR_RNDN);
        ;
        mpfr_set_si(r17058, mpfr_cmp(r17044, r17057) <= 0, MPFR_RNDN);
        ;
        mpfr_sqr(r17060, r17044, MPFR_RNDN);
        mpfr_mul(r17061, r17048, r17047, MPFR_RNDN);
        mpfr_sub(r17062, r17060, r17061, MPFR_RNDN);
        mpfr_sqrt(r17063, r17062, MPFR_RNDN);
        mpfr_sub(r17064, r17053, r17063, MPFR_RNDN);
        mpfr_div(r17065, r17048, r17064, MPFR_RNDN);
        mpfr_div(r17066, r17059, r17065, MPFR_RNDN);
        ;
        mpfr_div(r17068, r17044, r17048, MPFR_RNDN);
        mpfr_mul(r17069, r17067, r17068, MPFR_RNDN);
        if (mpfr_get_si(r17058, MPFR_RNDN)) { mpfr_set(r17070, r17066, MPFR_RNDN); } else { mpfr_set(r17070, r17069, MPFR_RNDN); };
        if (mpfr_get_si(r17046, MPFR_RNDN)) { mpfr_set(r17071, r17056, MPFR_RNDN); } else { mpfr_set(r17071, r17070, MPFR_RNDN); };
        return mpfr_get_d(r17071, MPFR_RNDN);
}