#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 r15995 = b_2F2;
        float r15996 = -r15995;
        float r15997 = r15995 * r15995;
        float r15998 = a;
        float r15999 = c;
        float r16000 = r15998 * r15999;
        float r16001 = r15997 - r16000;
        float r16002 = sqrt(r16001);
        float r16003 = r15996 - r16002;
        float r16004 = r16003 / r15998;
        return r16004;
}

double f_id(double a, double b_2F2, double c) {
        double r16005 = b_2F2;
        double r16006 = -r16005;
        double r16007 = r16005 * r16005;
        double r16008 = a;
        double r16009 = c;
        double r16010 = r16008 * r16009;
        double r16011 = r16007 - r16010;
        double r16012 = sqrt(r16011);
        double r16013 = r16006 - r16012;
        double r16014 = r16013 / r16008;
        return r16014;
}


double f_of(float a, float b_2F2, float c) {
        float r16015 = a;
        float r16016 = 1.0f;
        float r16017 = r16015 / r16016;
        float r16018 = c;
        float r16019 = b_2F2;
        float r16020 = -r16019;
        float r16021 = r16019 * r16019;
        float r16022 = r16015 * r16018;
        float r16023 = r16021 - r16022;
        float r16024 = sqrt(r16023);
        float r16025 = r16020 + r16024;
        float r16026 = r16018 / r16025;
        float r16027 = r16017 * r16026;
        float r16028 = r16027 / r16015;
        return r16028;
}

double f_od(double a, double b_2F2, double c) {
        double r16029 = a;
        double r16030 = 1.0;
        double r16031 = r16029 / r16030;
        double r16032 = c;
        double r16033 = b_2F2;
        double r16034 = -r16033;
        double r16035 = r16033 * r16033;
        double r16036 = r16029 * r16032;
        double r16037 = r16035 - r16036;
        double r16038 = sqrt(r16037);
        double r16039 = r16034 + r16038;
        double r16040 = r16032 / r16039;
        double r16041 = r16031 * r16040;
        double r16042 = r16041 / r16029;
        return r16042;
}

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 r16043, r16044, r16045, r16046, r16047, r16048, r16049, r16050, r16051, r16052;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16043);
        mpfr_init(r16044);
        mpfr_init(r16045);
        mpfr_init(r16046);
        mpfr_init(r16047);
        mpfr_init(r16048);
        mpfr_init(r16049);
        mpfr_init(r16050);
        mpfr_init(r16051);
        mpfr_init(r16052);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16043, b_2F2, MPFR_RNDN);
        mpfr_neg(r16044, r16043, MPFR_RNDN);
        mpfr_sqr(r16045, r16043, MPFR_RNDN);
        mpfr_set_d(r16046, a, MPFR_RNDN);
        mpfr_set_d(r16047, c, MPFR_RNDN);
        mpfr_mul(r16048, r16046, r16047, MPFR_RNDN);
        mpfr_sub(r16049, r16045, r16048, MPFR_RNDN);
        mpfr_sqrt(r16050, r16049, MPFR_RNDN);
        mpfr_sub(r16051, r16044, r16050, MPFR_RNDN);
        mpfr_div(r16052, r16051, r16046, MPFR_RNDN);
        return mpfr_get_d(r16052, MPFR_RNDN);
}

static mpfr_t r16053, r16054, r16055, r16056, r16057, r16058, r16059, r16060, r16061, r16062, r16063, r16064, r16065, r16066;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16053);
        mpfr_init_set_str(r16054, "1", 10, MPFR_RNDN);
        mpfr_init(r16055);
        mpfr_init(r16056);
        mpfr_init(r16057);
        mpfr_init(r16058);
        mpfr_init(r16059);
        mpfr_init(r16060);
        mpfr_init(r16061);
        mpfr_init(r16062);
        mpfr_init(r16063);
        mpfr_init(r16064);
        mpfr_init(r16065);
        mpfr_init(r16066);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16053, a, MPFR_RNDN);
        ;
        mpfr_div(r16055, r16053, r16054, MPFR_RNDN);
        mpfr_set_d(r16056, c, MPFR_RNDN);
        mpfr_set_d(r16057, b_2F2, MPFR_RNDN);
        mpfr_neg(r16058, r16057, MPFR_RNDN);
        mpfr_sqr(r16059, r16057, MPFR_RNDN);
        mpfr_mul(r16060, r16053, r16056, MPFR_RNDN);
        mpfr_sub(r16061, r16059, r16060, MPFR_RNDN);
        mpfr_sqrt(r16062, r16061, MPFR_RNDN);
        mpfr_add(r16063, r16058, r16062, MPFR_RNDN);
        mpfr_div(r16064, r16056, r16063, MPFR_RNDN);
        mpfr_mul(r16065, r16055, r16064, MPFR_RNDN);
        mpfr_div(r16066, r16065, r16053, MPFR_RNDN);
        return mpfr_get_d(r16066, MPFR_RNDN);
}

static mpfr_t r16067, r16068, r16069, r16070, r16071, r16072, r16073, r16074, r16075, r16076, r16077, r16078, r16079, r16080;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16067);
        mpfr_init_set_str(r16068, "1", 10, MPFR_RNDN);
        mpfr_init(r16069);
        mpfr_init(r16070);
        mpfr_init(r16071);
        mpfr_init(r16072);
        mpfr_init(r16073);
        mpfr_init(r16074);
        mpfr_init(r16075);
        mpfr_init(r16076);
        mpfr_init(r16077);
        mpfr_init(r16078);
        mpfr_init(r16079);
        mpfr_init(r16080);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16067, a, MPFR_RNDN);
        ;
        mpfr_div(r16069, r16067, r16068, MPFR_RNDN);
        mpfr_set_d(r16070, c, MPFR_RNDN);
        mpfr_set_d(r16071, b_2F2, MPFR_RNDN);
        mpfr_neg(r16072, r16071, MPFR_RNDN);
        mpfr_sqr(r16073, r16071, MPFR_RNDN);
        mpfr_mul(r16074, r16067, r16070, MPFR_RNDN);
        mpfr_sub(r16075, r16073, r16074, MPFR_RNDN);
        mpfr_sqrt(r16076, r16075, MPFR_RNDN);
        mpfr_add(r16077, r16072, r16076, MPFR_RNDN);
        mpfr_div(r16078, r16070, r16077, MPFR_RNDN);
        mpfr_mul(r16079, r16069, r16078, MPFR_RNDN);
        mpfr_div(r16080, r16079, r16067, MPFR_RNDN);
        return mpfr_get_d(r16080, MPFR_RNDN);
}

