#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 r16926 = b_2F2;
        float r16927 = -r16926;
        float r16928 = r16926 * r16926;
        float r16929 = a;
        float r16930 = c;
        float r16931 = r16929 * r16930;
        float r16932 = r16928 - r16931;
        float r16933 = sqrt(r16932);
        float r16934 = r16927 - r16933;
        float r16935 = r16934 / r16929;
        return r16935;
}

double f_id(double a, double b_2F2, double c) {
        double r16936 = b_2F2;
        double r16937 = -r16936;
        double r16938 = r16936 * r16936;
        double r16939 = a;
        double r16940 = c;
        double r16941 = r16939 * r16940;
        double r16942 = r16938 - r16941;
        double r16943 = sqrt(r16942);
        double r16944 = r16937 - r16943;
        double r16945 = r16944 / r16939;
        return r16945;
}


double f_of(float a, float b_2F2, float c) {
        float r16946 = b_2F2;
        float r16947 = -5.161999432096643e+18f;
        bool r16948 = r16946 <= r16947;
        float r16949 = c;
        float r16950 = 0.5f;
        float r16951 = r16950 * r16949;
        float r16952 = a;
        float r16953 = r16952 / r16946;
        float r16954 = r16951 * r16953;
        float r16955 = 2.0f;
        float r16956 = r16955 * r16946;
        float r16957 = r16954 - r16956;
        float r16958 = r16949 / r16957;
        float r16959 = -1.4884263778992505e-139f;
        bool r16960 = r16946 <= r16959;
        float r16961 = r16952 * r16949;
        float r16962 = -r16946;
        float r16963 = r16946 * r16946;
        float r16964 = r16963 - r16961;
        float r16965 = sqrt(r16964);
        float r16966 = r16962 + r16965;
        float r16967 = r16961 / r16966;
        float r16968 = r16967 / r16952;
        float r16969 = -3.31592532247251e-196f;
        bool r16970 = r16946 <= r16969;
        float r16971 = 2.4608343160951844e+34f;
        bool r16972 = r16946 <= r16971;
        float r16973 = r16962 - r16965;
        float r16974 = r16973 / r16952;
        float r16975 = -2.0f;
        float r16976 = r16946 / r16952;
        float r16977 = r16975 * r16976;
        float r16978 = r16972 ? r16974 : r16977;
        float r16979 = r16970 ? r16958 : r16978;
        float r16980 = r16960 ? r16968 : r16979;
        float r16981 = r16948 ? r16958 : r16980;
        return r16981;
}

double f_od(double a, double b_2F2, double c) {
        double r16982 = b_2F2;
        double r16983 = -5.161999432096643e+18;
        bool r16984 = r16982 <= r16983;
        double r16985 = c;
        double r16986 = 0.5;
        double r16987 = r16986 * r16985;
        double r16988 = a;
        double r16989 = r16988 / r16982;
        double r16990 = r16987 * r16989;
        double r16991 = 2.0;
        double r16992 = r16991 * r16982;
        double r16993 = r16990 - r16992;
        double r16994 = r16985 / r16993;
        double r16995 = -1.4884263778992505e-139;
        bool r16996 = r16982 <= r16995;
        double r16997 = r16988 * r16985;
        double r16998 = -r16982;
        double r16999 = r16982 * r16982;
        double r17000 = r16999 - r16997;
        double r17001 = sqrt(r17000);
        double r17002 = r16998 + r17001;
        double r17003 = r16997 / r17002;
        double r17004 = r17003 / r16988;
        double r17005 = -3.31592532247251e-196;
        bool r17006 = r16982 <= r17005;
        double r17007 = 2.4608343160951844e+34;
        bool r17008 = r16982 <= r17007;
        double r17009 = r16998 - r17001;
        double r17010 = r17009 / r16988;
        double r17011 = -2.0;
        double r17012 = r16982 / r16988;
        double r17013 = r17011 * r17012;
        double r17014 = r17008 ? r17010 : r17013;
        double r17015 = r17006 ? r16994 : r17014;
        double r17016 = r16996 ? r17004 : r17015;
        double r17017 = r16984 ? r16994 : r17016;
        return r17017;
}

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 r17018, r17019, r17020, r17021, r17022, r17023, r17024, r17025, r17026, r17027;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r17018);
        mpfr_init(r17019);
        mpfr_init(r17020);
        mpfr_init(r17021);
        mpfr_init(r17022);
        mpfr_init(r17023);
        mpfr_init(r17024);
        mpfr_init(r17025);
        mpfr_init(r17026);
        mpfr_init(r17027);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r17018, b_2F2, MPFR_RNDN);
        mpfr_neg(r17019, r17018, MPFR_RNDN);
        mpfr_sqr(r17020, r17018, MPFR_RNDN);
        mpfr_set_d(r17021, a, MPFR_RNDN);
        mpfr_set_d(r17022, c, MPFR_RNDN);
        mpfr_mul(r17023, r17021, r17022, MPFR_RNDN);
        mpfr_sub(r17024, r17020, r17023, MPFR_RNDN);
        mpfr_sqrt(r17025, r17024, MPFR_RNDN);
        mpfr_sub(r17026, r17019, r17025, MPFR_RNDN);
        mpfr_div(r17027, r17026, r17021, MPFR_RNDN);
        return mpfr_get_d(r17027, MPFR_RNDN);
}

static mpfr_t 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, r17056, r17057, r17058, r17059, r17060, r17061, r17062, r17063;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r17028);
        mpfr_init_set_str(r17029, "-5.161999432096643e+18", 10, MPFR_RNDN);
        mpfr_init(r17030);
        mpfr_init(r17031);
        mpfr_init_set_str(r17032, "1/2", 10, MPFR_RNDN);
        mpfr_init(r17033);
        mpfr_init(r17034);
        mpfr_init(r17035);
        mpfr_init(r17036);
        mpfr_init_set_str(r17037, "2", 10, MPFR_RNDN);
        mpfr_init(r17038);
        mpfr_init(r17039);
        mpfr_init(r17040);
        mpfr_init_set_str(r17041, "-1.4884263778992505e-139", 10, MPFR_RNDN);
        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, "-3.31592532247251e-196", 10, MPFR_RNDN);
        mpfr_init(r17052);
        mpfr_init_set_str(r17053, "2.4608343160951844e+34", 10, MPFR_RNDN);
        mpfr_init(r17054);
        mpfr_init(r17055);
        mpfr_init(r17056);
        mpfr_init_set_str(r17057, "-2", 10, MPFR_RNDN);
        mpfr_init(r17058);
        mpfr_init(r17059);
        mpfr_init(r17060);
        mpfr_init(r17061);
        mpfr_init(r17062);
        mpfr_init(r17063);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r17028, b_2F2, MPFR_RNDN);
        ;
        mpfr_set_si(r17030, mpfr_cmp(r17028, r17029) <= 0, MPFR_RNDN);
        mpfr_set_d(r17031, c, MPFR_RNDN);
        ;
        mpfr_mul(r17033, r17032, r17031, MPFR_RNDN);
        mpfr_set_d(r17034, a, MPFR_RNDN);
        mpfr_div(r17035, r17034, r17028, MPFR_RNDN);
        mpfr_mul(r17036, r17033, r17035, MPFR_RNDN);
        ;
        mpfr_mul(r17038, r17037, r17028, MPFR_RNDN);
        mpfr_sub(r17039, r17036, r17038, MPFR_RNDN);
        mpfr_div(r17040, r17031, r17039, MPFR_RNDN);
        ;
        mpfr_set_si(r17042, mpfr_cmp(r17028, r17041) <= 0, MPFR_RNDN);
        mpfr_mul(r17043, r17034, r17031, MPFR_RNDN);
        mpfr_neg(r17044, r17028, MPFR_RNDN);
        mpfr_sqr(r17045, r17028, MPFR_RNDN);
        mpfr_sub(r17046, r17045, r17043, MPFR_RNDN);
        mpfr_sqrt(r17047, r17046, MPFR_RNDN);
        mpfr_add(r17048, r17044, r17047, MPFR_RNDN);
        mpfr_div(r17049, r17043, r17048, MPFR_RNDN);
        mpfr_div(r17050, r17049, r17034, MPFR_RNDN);
        ;
        mpfr_set_si(r17052, mpfr_cmp(r17028, r17051) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r17054, mpfr_cmp(r17028, r17053) <= 0, MPFR_RNDN);
        mpfr_sub(r17055, r17044, r17047, MPFR_RNDN);
        mpfr_div(r17056, r17055, r17034, MPFR_RNDN);
        ;
        mpfr_div(r17058, r17028, r17034, MPFR_RNDN);
        mpfr_mul(r17059, r17057, r17058, MPFR_RNDN);
        if (mpfr_get_si(r17054, MPFR_RNDN)) { mpfr_set(r17060, r17056, MPFR_RNDN); } else { mpfr_set(r17060, r17059, MPFR_RNDN); };
        if (mpfr_get_si(r17052, MPFR_RNDN)) { mpfr_set(r17061, r17040, MPFR_RNDN); } else { mpfr_set(r17061, r17060, MPFR_RNDN); };
        if (mpfr_get_si(r17042, MPFR_RNDN)) { mpfr_set(r17062, r17050, MPFR_RNDN); } else { mpfr_set(r17062, r17061, MPFR_RNDN); };
        if (mpfr_get_si(r17030, MPFR_RNDN)) { mpfr_set(r17063, r17040, MPFR_RNDN); } else { mpfr_set(r17063, r17062, MPFR_RNDN); };
        return mpfr_get_d(r17063, MPFR_RNDN);
}

static mpfr_t r17064, r17065, r17066, r17067, r17068, r17069, r17070, r17071, r17072, r17073, r17074, r17075, r17076, r17077, r17078, r17079, r17080, r17081, r17082, r17083, r17084, r17085, r17086, r17087, r17088, r17089, r17090, r17091, r17092, r17093, r17094, r17095, r17096, r17097, r17098, r17099;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r17064);
        mpfr_init_set_str(r17065, "-5.161999432096643e+18", 10, MPFR_RNDN);
        mpfr_init(r17066);
        mpfr_init(r17067);
        mpfr_init_set_str(r17068, "1/2", 10, MPFR_RNDN);
        mpfr_init(r17069);
        mpfr_init(r17070);
        mpfr_init(r17071);
        mpfr_init(r17072);
        mpfr_init_set_str(r17073, "2", 10, MPFR_RNDN);
        mpfr_init(r17074);
        mpfr_init(r17075);
        mpfr_init(r17076);
        mpfr_init_set_str(r17077, "-1.4884263778992505e-139", 10, MPFR_RNDN);
        mpfr_init(r17078);
        mpfr_init(r17079);
        mpfr_init(r17080);
        mpfr_init(r17081);
        mpfr_init(r17082);
        mpfr_init(r17083);
        mpfr_init(r17084);
        mpfr_init(r17085);
        mpfr_init(r17086);
        mpfr_init_set_str(r17087, "-3.31592532247251e-196", 10, MPFR_RNDN);
        mpfr_init(r17088);
        mpfr_init_set_str(r17089, "2.4608343160951844e+34", 10, MPFR_RNDN);
        mpfr_init(r17090);
        mpfr_init(r17091);
        mpfr_init(r17092);
        mpfr_init_set_str(r17093, "-2", 10, MPFR_RNDN);
        mpfr_init(r17094);
        mpfr_init(r17095);
        mpfr_init(r17096);
        mpfr_init(r17097);
        mpfr_init(r17098);
        mpfr_init(r17099);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r17064, b_2F2, MPFR_RNDN);
        ;
        mpfr_set_si(r17066, mpfr_cmp(r17064, r17065) <= 0, MPFR_RNDN);
        mpfr_set_d(r17067, c, MPFR_RNDN);
        ;
        mpfr_mul(r17069, r17068, r17067, MPFR_RNDN);
        mpfr_set_d(r17070, a, MPFR_RNDN);
        mpfr_div(r17071, r17070, r17064, MPFR_RNDN);
        mpfr_mul(r17072, r17069, r17071, MPFR_RNDN);
        ;
        mpfr_mul(r17074, r17073, r17064, MPFR_RNDN);
        mpfr_sub(r17075, r17072, r17074, MPFR_RNDN);
        mpfr_div(r17076, r17067, r17075, MPFR_RNDN);
        ;
        mpfr_set_si(r17078, mpfr_cmp(r17064, r17077) <= 0, MPFR_RNDN);
        mpfr_mul(r17079, r17070, r17067, MPFR_RNDN);
        mpfr_neg(r17080, r17064, MPFR_RNDN);
        mpfr_sqr(r17081, r17064, MPFR_RNDN);
        mpfr_sub(r17082, r17081, r17079, MPFR_RNDN);
        mpfr_sqrt(r17083, r17082, MPFR_RNDN);
        mpfr_add(r17084, r17080, r17083, MPFR_RNDN);
        mpfr_div(r17085, r17079, r17084, MPFR_RNDN);
        mpfr_div(r17086, r17085, r17070, MPFR_RNDN);
        ;
        mpfr_set_si(r17088, mpfr_cmp(r17064, r17087) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r17090, mpfr_cmp(r17064, r17089) <= 0, MPFR_RNDN);
        mpfr_sub(r17091, r17080, r17083, MPFR_RNDN);
        mpfr_div(r17092, r17091, r17070, MPFR_RNDN);
        ;
        mpfr_div(r17094, r17064, r17070, MPFR_RNDN);
        mpfr_mul(r17095, r17093, r17094, MPFR_RNDN);
        if (mpfr_get_si(r17090, MPFR_RNDN)) { mpfr_set(r17096, r17092, MPFR_RNDN); } else { mpfr_set(r17096, r17095, MPFR_RNDN); };
        if (mpfr_get_si(r17088, MPFR_RNDN)) { mpfr_set(r17097, r17076, MPFR_RNDN); } else { mpfr_set(r17097, r17096, MPFR_RNDN); };
        if (mpfr_get_si(r17078, MPFR_RNDN)) { mpfr_set(r17098, r17086, MPFR_RNDN); } else { mpfr_set(r17098, r17097, MPFR_RNDN); };
        if (mpfr_get_si(r17066, MPFR_RNDN)) { mpfr_set(r17099, r17076, MPFR_RNDN); } else { mpfr_set(r17099, r17098, MPFR_RNDN); };
        return mpfr_get_d(r17099, MPFR_RNDN);
}