#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 r16321 = b_2F2;
        float r16322 = -r16321;
        float r16323 = r16321 * r16321;
        float r16324 = a;
        float r16325 = c;
        float r16326 = r16324 * r16325;
        float r16327 = r16323 - r16326;
        float r16328 = sqrt(r16327);
        float r16329 = r16322 - r16328;
        float r16330 = r16329 / r16324;
        return r16330;
}

double f_id(double a, double b_2F2, double c) {
        double r16331 = b_2F2;
        double r16332 = -r16331;
        double r16333 = r16331 * r16331;
        double r16334 = a;
        double r16335 = c;
        double r16336 = r16334 * r16335;
        double r16337 = r16333 - r16336;
        double r16338 = sqrt(r16337);
        double r16339 = r16332 - r16338;
        double r16340 = r16339 / r16334;
        return r16340;
}


double f_of(float a, float b_2F2, float c) {
        float r16341 = a;
        float r16342 = c;
        float r16343 = r16341 * r16342;
        float r16344 = b_2F2;
        float r16345 = -r16344;
        float r16346 = r16344 * r16344;
        float r16347 = r16346 - r16343;
        float r16348 = sqrt(r16347);
        float r16349 = r16345 + r16348;
        float r16350 = r16343 / r16349;
        float r16351 = r16350 / r16341;
        return r16351;
}

double f_od(double a, double b_2F2, double c) {
        double r16352 = a;
        double r16353 = c;
        double r16354 = r16352 * r16353;
        double r16355 = b_2F2;
        double r16356 = -r16355;
        double r16357 = r16355 * r16355;
        double r16358 = r16357 - r16354;
        double r16359 = sqrt(r16358);
        double r16360 = r16356 + r16359;
        double r16361 = r16354 / r16360;
        double r16362 = r16361 / r16352;
        return r16362;
}

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 r16363, r16364, r16365, r16366, r16367, r16368, r16369, r16370, r16371, r16372;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16363);
        mpfr_init(r16364);
        mpfr_init(r16365);
        mpfr_init(r16366);
        mpfr_init(r16367);
        mpfr_init(r16368);
        mpfr_init(r16369);
        mpfr_init(r16370);
        mpfr_init(r16371);
        mpfr_init(r16372);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16363, b_2F2, MPFR_RNDN);
        mpfr_neg(r16364, r16363, MPFR_RNDN);
        mpfr_sqr(r16365, r16363, MPFR_RNDN);
        mpfr_set_d(r16366, a, MPFR_RNDN);
        mpfr_set_d(r16367, c, MPFR_RNDN);
        mpfr_mul(r16368, r16366, r16367, MPFR_RNDN);
        mpfr_sub(r16369, r16365, r16368, MPFR_RNDN);
        mpfr_sqrt(r16370, r16369, MPFR_RNDN);
        mpfr_sub(r16371, r16364, r16370, MPFR_RNDN);
        mpfr_div(r16372, r16371, r16366, MPFR_RNDN);
        return mpfr_get_d(r16372, MPFR_RNDN);
}

static mpfr_t r16373, r16374, r16375, r16376, r16377, r16378, r16379, r16380, r16381, r16382, r16383;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16373);
        mpfr_init(r16374);
        mpfr_init(r16375);
        mpfr_init(r16376);
        mpfr_init(r16377);
        mpfr_init(r16378);
        mpfr_init(r16379);
        mpfr_init(r16380);
        mpfr_init(r16381);
        mpfr_init(r16382);
        mpfr_init(r16383);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16373, a, MPFR_RNDN);
        mpfr_set_d(r16374, c, MPFR_RNDN);
        mpfr_mul(r16375, r16373, r16374, MPFR_RNDN);
        mpfr_set_d(r16376, b_2F2, MPFR_RNDN);
        mpfr_neg(r16377, r16376, MPFR_RNDN);
        mpfr_sqr(r16378, r16376, MPFR_RNDN);
        mpfr_sub(r16379, r16378, r16375, MPFR_RNDN);
        mpfr_sqrt(r16380, r16379, MPFR_RNDN);
        mpfr_add(r16381, r16377, r16380, MPFR_RNDN);
        mpfr_div(r16382, r16375, r16381, MPFR_RNDN);
        mpfr_div(r16383, r16382, r16373, MPFR_RNDN);
        return mpfr_get_d(r16383, MPFR_RNDN);
}

static mpfr_t r16384, r16385, r16386, r16387, r16388, r16389, r16390, r16391, r16392, r16393, r16394;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16384);
        mpfr_init(r16385);
        mpfr_init(r16386);
        mpfr_init(r16387);
        mpfr_init(r16388);
        mpfr_init(r16389);
        mpfr_init(r16390);
        mpfr_init(r16391);
        mpfr_init(r16392);
        mpfr_init(r16393);
        mpfr_init(r16394);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16384, a, MPFR_RNDN);
        mpfr_set_d(r16385, c, MPFR_RNDN);
        mpfr_mul(r16386, r16384, r16385, MPFR_RNDN);
        mpfr_set_d(r16387, b_2F2, MPFR_RNDN);
        mpfr_neg(r16388, r16387, MPFR_RNDN);
        mpfr_sqr(r16389, r16387, MPFR_RNDN);
        mpfr_sub(r16390, r16389, r16386, MPFR_RNDN);
        mpfr_sqrt(r16391, r16390, MPFR_RNDN);
        mpfr_add(r16392, r16388, r16391, MPFR_RNDN);
        mpfr_div(r16393, r16386, r16392, MPFR_RNDN);
        mpfr_div(r16394, r16393, r16384, MPFR_RNDN);
        return mpfr_get_d(r16394, MPFR_RNDN);
}