#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 r20982 = b_2F2;
        float r20983 = -r20982;
        float r20984 = r20982 * r20982;
        float r20985 = a;
        float r20986 = c;
        float r20987 = r20985 * r20986;
        float r20988 = r20984 - r20987;
        float r20989 = sqrt(r20988);
        float r20990 = r20983 - r20989;
        float r20991 = r20990 / r20985;
        return r20991;
}

double f_id(double a, double b_2F2, double c) {
        double r20992 = b_2F2;
        double r20993 = -r20992;
        double r20994 = r20992 * r20992;
        double r20995 = a;
        double r20996 = c;
        double r20997 = r20995 * r20996;
        double r20998 = r20994 - r20997;
        double r20999 = sqrt(r20998);
        double r21000 = r20993 - r20999;
        double r21001 = r21000 / r20995;
        return r21001;
}


double f_of(float a, float b_2F2, float c) {
        float r21002 = b_2F2;
        float r21003 = -6.539512710864403e+66;
        bool r21004 = r21002 <= r21003;
        float r21005 = c;
        float r21006 = r21005 / r21002;
        float r21007 = -1/2;
        float r21008 = r21006 * r21007;
        float r21009 = -3.4571144459829794e-131;
        bool r21010 = r21002 <= r21009;
        float r21011 = 3.1746500024866854e+75;
        bool r21012 = r21002 <= r21011;
        float r21013 = -r21002;
        float r21014 = a;
        float r21015 = r21013 / r21014;
        float r21016 = r21002 * r21002;
        float r21017 = r21014 * r21005;
        float r21018 = r21016 - r21017;
        float r21019 = sqrt(r21018);
        float r21020 = r21019 / r21014;
        float r21021 = r21015 - r21020;
        float r21022 = 1/2;
        float r21023 = r21022 * r21006;
        float r21024 = r21013 - r21002;
        float r21025 = r21024 / r21014;
        float r21026 = r21023 + r21025;
        float r21027 = r21012 ? r21021 : r21026;
        float r21028 = r21010 ? r21008 : r21027;
        float r21029 = r21004 ? r21008 : r21028;
        return r21029;
}

double f_od(double a, double b_2F2, double c) {
        double r21030 = b_2F2;
        double r21031 = -6.539512710864403e+66;
        bool r21032 = r21030 <= r21031;
        double r21033 = c;
        double r21034 = r21033 / r21030;
        double r21035 = -1/2;
        double r21036 = r21034 * r21035;
        double r21037 = -3.4571144459829794e-131;
        bool r21038 = r21030 <= r21037;
        double r21039 = 3.1746500024866854e+75;
        bool r21040 = r21030 <= r21039;
        double r21041 = -r21030;
        double r21042 = a;
        double r21043 = r21041 / r21042;
        double r21044 = r21030 * r21030;
        double r21045 = r21042 * r21033;
        double r21046 = r21044 - r21045;
        double r21047 = sqrt(r21046);
        double r21048 = r21047 / r21042;
        double r21049 = r21043 - r21048;
        double r21050 = 1/2;
        double r21051 = r21050 * r21034;
        double r21052 = r21041 - r21030;
        double r21053 = r21052 / r21042;
        double r21054 = r21051 + r21053;
        double r21055 = r21040 ? r21049 : r21054;
        double r21056 = r21038 ? r21036 : r21055;
        double r21057 = r21032 ? r21036 : r21056;
        return r21057;
}

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 r21058, r21059, r21060, r21061, r21062, r21063, r21064, r21065, r21066, r21067;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3216);
        mpfr_init(r21058);
        mpfr_init(r21059);
        mpfr_init(r21060);
        mpfr_init(r21061);
        mpfr_init(r21062);
        mpfr_init(r21063);
        mpfr_init(r21064);
        mpfr_init(r21065);
        mpfr_init(r21066);
        mpfr_init(r21067);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r21058, b_2F2, MPFR_RNDN);
        mpfr_neg(r21059, r21058, MPFR_RNDN);
        mpfr_mul(r21060, r21058, r21058, MPFR_RNDN);
        mpfr_set_d(r21061, a, MPFR_RNDN);
        mpfr_set_d(r21062, c, MPFR_RNDN);
        mpfr_mul(r21063, r21061, r21062, MPFR_RNDN);
        mpfr_sub(r21064, r21060, r21063, MPFR_RNDN);
        mpfr_sqrt(r21065, r21064, MPFR_RNDN);
        mpfr_sub(r21066, r21059, r21065, MPFR_RNDN);
        mpfr_div(r21067, r21066, r21061, MPFR_RNDN);
        return mpfr_get_d(r21067, MPFR_RNDN);
}

static mpfr_t r21068, r21069, r21070, r21071, r21072, r21073, r21074, r21075, r21076, r21077, r21078, r21079, r21080, r21081, r21082, r21083, r21084, r21085, r21086, r21087, r21088, r21089, r21090, r21091, r21092, r21093, r21094, r21095;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3216);
        mpfr_init(r21068);
        mpfr_init_set_str(r21069, "-6.539512710864403e+66", 10, MPFR_RNDN);
        mpfr_init(r21070);
        mpfr_init(r21071);
        mpfr_init(r21072);
        mpfr_init_set_str(r21073, "-1/2", 10, MPFR_RNDN);
        mpfr_init(r21074);
        mpfr_init_set_str(r21075, "-3.4571144459829794e-131", 10, MPFR_RNDN);
        mpfr_init(r21076);
        mpfr_init_set_str(r21077, "3.1746500024866854e+75", 10, MPFR_RNDN);
        mpfr_init(r21078);
        mpfr_init(r21079);
        mpfr_init(r21080);
        mpfr_init(r21081);
        mpfr_init(r21082);
        mpfr_init(r21083);
        mpfr_init(r21084);
        mpfr_init(r21085);
        mpfr_init(r21086);
        mpfr_init(r21087);
        mpfr_init_set_str(r21088, "1/2", 10, MPFR_RNDN);
        mpfr_init(r21089);
        mpfr_init(r21090);
        mpfr_init(r21091);
        mpfr_init(r21092);
        mpfr_init(r21093);
        mpfr_init(r21094);
        mpfr_init(r21095);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r21068, b_2F2, MPFR_RNDN);
        ;
        mpfr_set_si(r21070, mpfr_cmp(r21068, r21069) <= 0, MPFR_RNDN);
        mpfr_set_d(r21071, c, MPFR_RNDN);
        mpfr_div(r21072, r21071, r21068, MPFR_RNDN);
        ;
        mpfr_mul(r21074, r21072, r21073, MPFR_RNDN);
        ;
        mpfr_set_si(r21076, mpfr_cmp(r21068, r21075) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r21078, mpfr_cmp(r21068, r21077) <= 0, MPFR_RNDN);
        mpfr_neg(r21079, r21068, MPFR_RNDN);
        mpfr_set_d(r21080, a, MPFR_RNDN);
        mpfr_div(r21081, r21079, r21080, MPFR_RNDN);
        mpfr_mul(r21082, r21068, r21068, MPFR_RNDN);
        mpfr_mul(r21083, r21080, r21071, MPFR_RNDN);
        mpfr_sub(r21084, r21082, r21083, MPFR_RNDN);
        mpfr_sqrt(r21085, r21084, MPFR_RNDN);
        mpfr_div(r21086, r21085, r21080, MPFR_RNDN);
        mpfr_sub(r21087, r21081, r21086, MPFR_RNDN);
        ;
        mpfr_mul(r21089, r21088, r21072, MPFR_RNDN);
        mpfr_sub(r21090, r21079, r21068, MPFR_RNDN);
        mpfr_div(r21091, r21090, r21080, MPFR_RNDN);
        mpfr_add(r21092, r21089, r21091, MPFR_RNDN);
        if (mpfr_get_si(r21078, MPFR_RNDN)) { mpfr_set(r21093, r21087, MPFR_RNDN); } else { mpfr_set(r21093, r21092, MPFR_RNDN); };
        if (mpfr_get_si(r21076, MPFR_RNDN)) { mpfr_set(r21094, r21074, MPFR_RNDN); } else { mpfr_set(r21094, r21093, MPFR_RNDN); };
        if (mpfr_get_si(r21070, MPFR_RNDN)) { mpfr_set(r21095, r21074, MPFR_RNDN); } else { mpfr_set(r21095, r21094, MPFR_RNDN); };
        return mpfr_get_d(r21095, MPFR_RNDN);
}

static mpfr_t r21096, r21097, r21098, r21099, r21100, r21101, r21102, r21103, r21104, r21105, r21106, r21107, r21108, r21109, r21110, r21111, r21112, r21113, r21114, r21115, r21116, r21117, r21118, r21119, r21120, r21121, r21122, r21123;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3216);
        mpfr_init(r21096);
        mpfr_init_set_str(r21097, "-6.539512710864403e+66", 10, MPFR_RNDN);
        mpfr_init(r21098);
        mpfr_init(r21099);
        mpfr_init(r21100);
        mpfr_init_set_str(r21101, "-1/2", 10, MPFR_RNDN);
        mpfr_init(r21102);
        mpfr_init_set_str(r21103, "-3.4571144459829794e-131", 10, MPFR_RNDN);
        mpfr_init(r21104);
        mpfr_init_set_str(r21105, "3.1746500024866854e+75", 10, MPFR_RNDN);
        mpfr_init(r21106);
        mpfr_init(r21107);
        mpfr_init(r21108);
        mpfr_init(r21109);
        mpfr_init(r21110);
        mpfr_init(r21111);
        mpfr_init(r21112);
        mpfr_init(r21113);
        mpfr_init(r21114);
        mpfr_init(r21115);
        mpfr_init_set_str(r21116, "1/2", 10, MPFR_RNDN);
        mpfr_init(r21117);
        mpfr_init(r21118);
        mpfr_init(r21119);
        mpfr_init(r21120);
        mpfr_init(r21121);
        mpfr_init(r21122);
        mpfr_init(r21123);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r21096, b_2F2, MPFR_RNDN);
        ;
        mpfr_set_si(r21098, mpfr_cmp(r21096, r21097) <= 0, MPFR_RNDN);
        mpfr_set_d(r21099, c, MPFR_RNDN);
        mpfr_div(r21100, r21099, r21096, MPFR_RNDN);
        ;
        mpfr_mul(r21102, r21100, r21101, MPFR_RNDN);
        ;
        mpfr_set_si(r21104, mpfr_cmp(r21096, r21103) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r21106, mpfr_cmp(r21096, r21105) <= 0, MPFR_RNDN);
        mpfr_neg(r21107, r21096, MPFR_RNDN);
        mpfr_set_d(r21108, a, MPFR_RNDN);
        mpfr_div(r21109, r21107, r21108, MPFR_RNDN);
        mpfr_mul(r21110, r21096, r21096, MPFR_RNDN);
        mpfr_mul(r21111, r21108, r21099, MPFR_RNDN);
        mpfr_sub(r21112, r21110, r21111, MPFR_RNDN);
        mpfr_sqrt(r21113, r21112, MPFR_RNDN);
        mpfr_div(r21114, r21113, r21108, MPFR_RNDN);
        mpfr_sub(r21115, r21109, r21114, MPFR_RNDN);
        ;
        mpfr_mul(r21117, r21116, r21100, MPFR_RNDN);
        mpfr_sub(r21118, r21107, r21096, MPFR_RNDN);
        mpfr_div(r21119, r21118, r21108, MPFR_RNDN);
        mpfr_add(r21120, r21117, r21119, MPFR_RNDN);
        if (mpfr_get_si(r21106, MPFR_RNDN)) { mpfr_set(r21121, r21115, MPFR_RNDN); } else { mpfr_set(r21121, r21120, MPFR_RNDN); };
        if (mpfr_get_si(r21104, MPFR_RNDN)) { mpfr_set(r21122, r21102, MPFR_RNDN); } else { mpfr_set(r21122, r21121, MPFR_RNDN); };
        if (mpfr_get_si(r21098, MPFR_RNDN)) { mpfr_set(r21123, r21102, MPFR_RNDN); } else { mpfr_set(r21123, r21122, MPFR_RNDN); };
        return mpfr_get_d(r21123, MPFR_RNDN);
}