#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 r16305 = b_2F2;
        float r16306 = -r16305;
        float r16307 = r16305 * r16305;
        float r16308 = a;
        float r16309 = c;
        float r16310 = r16308 * r16309;
        float r16311 = r16307 - r16310;
        float r16312 = sqrt(r16311);
        float r16313 = r16306 - r16312;
        float r16314 = r16313 / r16308;
        return r16314;
}

double f_id(double a, double b_2F2, double c) {
        double r16315 = b_2F2;
        double r16316 = -r16315;
        double r16317 = r16315 * r16315;
        double r16318 = a;
        double r16319 = c;
        double r16320 = r16318 * r16319;
        double r16321 = r16317 - r16320;
        double r16322 = sqrt(r16321);
        double r16323 = r16316 - r16322;
        double r16324 = r16323 / r16318;
        return r16324;
}


double f_of(float a, float b_2F2, float c) {
        float r16325 = a;
        float r16326 = c;
        float r16327 = r16325 * r16326;
        float r16328 = b_2F2;
        float r16329 = -r16328;
        float r16330 = r16328 * r16328;
        float r16331 = r16330 - r16327;
        float r16332 = sqrt(r16331);
        float r16333 = r16329 + r16332;
        float r16334 = r16327 / r16333;
        float r16335 = r16334 / r16325;
        return r16335;
}

double f_od(double a, double b_2F2, double c) {
        double r16336 = a;
        double r16337 = c;
        double r16338 = r16336 * r16337;
        double r16339 = b_2F2;
        double r16340 = -r16339;
        double r16341 = r16339 * r16339;
        double r16342 = r16341 - r16338;
        double r16343 = sqrt(r16342);
        double r16344 = r16340 + r16343;
        double r16345 = r16338 / r16344;
        double r16346 = r16345 / r16336;
        return r16346;
}

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 r16347, r16348, r16349, r16350, r16351, r16352, r16353, r16354, r16355, r16356;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16347);
        mpfr_init(r16348);
        mpfr_init(r16349);
        mpfr_init(r16350);
        mpfr_init(r16351);
        mpfr_init(r16352);
        mpfr_init(r16353);
        mpfr_init(r16354);
        mpfr_init(r16355);
        mpfr_init(r16356);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16347, b_2F2, MPFR_RNDN);
        mpfr_neg(r16348, r16347, MPFR_RNDN);
        mpfr_sqr(r16349, r16347, MPFR_RNDN);
        mpfr_set_d(r16350, a, MPFR_RNDN);
        mpfr_set_d(r16351, c, MPFR_RNDN);
        mpfr_mul(r16352, r16350, r16351, MPFR_RNDN);
        mpfr_sub(r16353, r16349, r16352, MPFR_RNDN);
        mpfr_sqrt(r16354, r16353, MPFR_RNDN);
        mpfr_sub(r16355, r16348, r16354, MPFR_RNDN);
        mpfr_div(r16356, r16355, r16350, MPFR_RNDN);
        return mpfr_get_d(r16356, MPFR_RNDN);
}

static mpfr_t r16357, r16358, r16359, r16360, r16361, r16362, r16363, r16364, r16365, r16366, r16367;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16357);
        mpfr_init(r16358);
        mpfr_init(r16359);
        mpfr_init(r16360);
        mpfr_init(r16361);
        mpfr_init(r16362);
        mpfr_init(r16363);
        mpfr_init(r16364);
        mpfr_init(r16365);
        mpfr_init(r16366);
        mpfr_init(r16367);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16357, a, MPFR_RNDN);
        mpfr_set_d(r16358, c, MPFR_RNDN);
        mpfr_mul(r16359, r16357, r16358, MPFR_RNDN);
        mpfr_set_d(r16360, b_2F2, MPFR_RNDN);
        mpfr_neg(r16361, r16360, MPFR_RNDN);
        mpfr_sqr(r16362, r16360, MPFR_RNDN);
        mpfr_sub(r16363, r16362, r16359, MPFR_RNDN);
        mpfr_sqrt(r16364, r16363, MPFR_RNDN);
        mpfr_add(r16365, r16361, r16364, MPFR_RNDN);
        mpfr_div(r16366, r16359, r16365, MPFR_RNDN);
        mpfr_div(r16367, r16366, r16357, MPFR_RNDN);
        return mpfr_get_d(r16367, MPFR_RNDN);
}

static mpfr_t r16368, r16369, r16370, r16371, r16372, r16373, r16374, r16375, r16376, r16377, r16378;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16368);
        mpfr_init(r16369);
        mpfr_init(r16370);
        mpfr_init(r16371);
        mpfr_init(r16372);
        mpfr_init(r16373);
        mpfr_init(r16374);
        mpfr_init(r16375);
        mpfr_init(r16376);
        mpfr_init(r16377);
        mpfr_init(r16378);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16368, a, MPFR_RNDN);
        mpfr_set_d(r16369, c, MPFR_RNDN);
        mpfr_mul(r16370, r16368, r16369, MPFR_RNDN);
        mpfr_set_d(r16371, b_2F2, MPFR_RNDN);
        mpfr_neg(r16372, r16371, MPFR_RNDN);
        mpfr_sqr(r16373, r16371, MPFR_RNDN);
        mpfr_sub(r16374, r16373, r16370, MPFR_RNDN);
        mpfr_sqrt(r16375, r16374, MPFR_RNDN);
        mpfr_add(r16376, r16372, r16375, MPFR_RNDN);
        mpfr_div(r16377, r16370, r16376, MPFR_RNDN);
        mpfr_div(r16378, r16377, r16368, MPFR_RNDN);
        return mpfr_get_d(r16378, MPFR_RNDN);
}

