#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 r16166 = b_2F2;
        float r16167 = -r16166;
        float r16168 = r16166 * r16166;
        float r16169 = a;
        float r16170 = c;
        float r16171 = r16169 * r16170;
        float r16172 = r16168 - r16171;
        float r16173 = sqrt(r16172);
        float r16174 = r16167 - r16173;
        float r16175 = r16174 / r16169;
        return r16175;
}

double f_id(double a, double b_2F2, double c) {
        double r16176 = b_2F2;
        double r16177 = -r16176;
        double r16178 = r16176 * r16176;
        double r16179 = a;
        double r16180 = c;
        double r16181 = r16179 * r16180;
        double r16182 = r16178 - r16181;
        double r16183 = sqrt(r16182);
        double r16184 = r16177 - r16183;
        double r16185 = r16184 / r16179;
        return r16185;
}


double f_of(float a, float b_2F2, float c) {
        float r16186 = a;
        float r16187 = c;
        float r16188 = r16186 * r16187;
        float r16189 = b_2F2;
        float r16190 = -r16189;
        float r16191 = r16189 * r16189;
        float r16192 = r16191 - r16188;
        float r16193 = sqrt(r16192);
        float r16194 = r16190 + r16193;
        float r16195 = r16188 / r16194;
        float r16196 = r16195 / r16186;
        return r16196;
}

double f_od(double a, double b_2F2, double c) {
        double r16197 = a;
        double r16198 = c;
        double r16199 = r16197 * r16198;
        double r16200 = b_2F2;
        double r16201 = -r16200;
        double r16202 = r16200 * r16200;
        double r16203 = r16202 - r16199;
        double r16204 = sqrt(r16203);
        double r16205 = r16201 + r16204;
        double r16206 = r16199 / r16205;
        double r16207 = r16206 / r16197;
        return r16207;
}

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 r16208, r16209, r16210, r16211, r16212, r16213, r16214, r16215, r16216, r16217;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16208);
        mpfr_init(r16209);
        mpfr_init(r16210);
        mpfr_init(r16211);
        mpfr_init(r16212);
        mpfr_init(r16213);
        mpfr_init(r16214);
        mpfr_init(r16215);
        mpfr_init(r16216);
        mpfr_init(r16217);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16208, b_2F2, MPFR_RNDN);
        mpfr_neg(r16209, r16208, MPFR_RNDN);
        mpfr_sqr(r16210, r16208, MPFR_RNDN);
        mpfr_set_d(r16211, a, MPFR_RNDN);
        mpfr_set_d(r16212, c, MPFR_RNDN);
        mpfr_mul(r16213, r16211, r16212, MPFR_RNDN);
        mpfr_sub(r16214, r16210, r16213, MPFR_RNDN);
        mpfr_sqrt(r16215, r16214, MPFR_RNDN);
        mpfr_sub(r16216, r16209, r16215, MPFR_RNDN);
        mpfr_div(r16217, r16216, r16211, MPFR_RNDN);
        return mpfr_get_d(r16217, MPFR_RNDN);
}

static mpfr_t r16218, r16219, r16220, r16221, r16222, r16223, r16224, r16225, r16226, r16227, r16228;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16218);
        mpfr_init(r16219);
        mpfr_init(r16220);
        mpfr_init(r16221);
        mpfr_init(r16222);
        mpfr_init(r16223);
        mpfr_init(r16224);
        mpfr_init(r16225);
        mpfr_init(r16226);
        mpfr_init(r16227);
        mpfr_init(r16228);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16218, a, MPFR_RNDN);
        mpfr_set_d(r16219, c, MPFR_RNDN);
        mpfr_mul(r16220, r16218, r16219, MPFR_RNDN);
        mpfr_set_d(r16221, b_2F2, MPFR_RNDN);
        mpfr_neg(r16222, r16221, MPFR_RNDN);
        mpfr_sqr(r16223, r16221, MPFR_RNDN);
        mpfr_sub(r16224, r16223, r16220, MPFR_RNDN);
        mpfr_sqrt(r16225, r16224, MPFR_RNDN);
        mpfr_add(r16226, r16222, r16225, MPFR_RNDN);
        mpfr_div(r16227, r16220, r16226, MPFR_RNDN);
        mpfr_div(r16228, r16227, r16218, MPFR_RNDN);
        return mpfr_get_d(r16228, MPFR_RNDN);
}

static mpfr_t r16229, r16230, r16231, r16232, r16233, r16234, r16235, r16236, r16237, r16238, r16239;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16229);
        mpfr_init(r16230);
        mpfr_init(r16231);
        mpfr_init(r16232);
        mpfr_init(r16233);
        mpfr_init(r16234);
        mpfr_init(r16235);
        mpfr_init(r16236);
        mpfr_init(r16237);
        mpfr_init(r16238);
        mpfr_init(r16239);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16229, a, MPFR_RNDN);
        mpfr_set_d(r16230, c, MPFR_RNDN);
        mpfr_mul(r16231, r16229, r16230, MPFR_RNDN);
        mpfr_set_d(r16232, b_2F2, MPFR_RNDN);
        mpfr_neg(r16233, r16232, MPFR_RNDN);
        mpfr_sqr(r16234, r16232, MPFR_RNDN);
        mpfr_sub(r16235, r16234, r16231, MPFR_RNDN);
        mpfr_sqrt(r16236, r16235, MPFR_RNDN);
        mpfr_add(r16237, r16233, r16236, MPFR_RNDN);
        mpfr_div(r16238, r16231, r16237, MPFR_RNDN);
        mpfr_div(r16239, r16238, r16229, MPFR_RNDN);
        return mpfr_get_d(r16239, MPFR_RNDN);
}

