#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 r16325 = b_2F2;
        float r16326 = -r16325;
        float r16327 = r16325 * r16325;
        float r16328 = a;
        float r16329 = c;
        float r16330 = r16328 * r16329;
        float r16331 = r16327 - r16330;
        float r16332 = sqrt(r16331);
        float r16333 = r16326 - r16332;
        float r16334 = r16333 / r16328;
        return r16334;
}

double f_id(double a, double b_2F2, double c) {
        double r16335 = b_2F2;
        double r16336 = -r16335;
        double r16337 = r16335 * r16335;
        double r16338 = a;
        double r16339 = c;
        double r16340 = r16338 * r16339;
        double r16341 = r16337 - r16340;
        double r16342 = sqrt(r16341);
        double r16343 = r16336 - r16342;
        double r16344 = r16343 / r16338;
        return r16344;
}


double f_of(float a, float b_2F2, float c) {
        float r16345 = a;
        float r16346 = c;
        float r16347 = r16345 * r16346;
        float r16348 = b_2F2;
        float r16349 = -r16348;
        float r16350 = r16348 * r16348;
        float r16351 = r16350 - r16347;
        float r16352 = sqrt(r16351);
        float r16353 = r16349 + r16352;
        float r16354 = r16347 / r16353;
        float r16355 = r16354 / r16345;
        return r16355;
}

double f_od(double a, double b_2F2, double c) {
        double r16356 = a;
        double r16357 = c;
        double r16358 = r16356 * r16357;
        double r16359 = b_2F2;
        double r16360 = -r16359;
        double r16361 = r16359 * r16359;
        double r16362 = r16361 - r16358;
        double r16363 = sqrt(r16362);
        double r16364 = r16360 + r16363;
        double r16365 = r16358 / r16364;
        double r16366 = r16365 / r16356;
        return r16366;
}

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 r16367, r16368, r16369, r16370, r16371, r16372, r16373, r16374, r16375, r16376;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16367);
        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);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16367, b_2F2, MPFR_RNDN);
        mpfr_neg(r16368, r16367, MPFR_RNDN);
        mpfr_sqr(r16369, r16367, MPFR_RNDN);
        mpfr_set_d(r16370, a, MPFR_RNDN);
        mpfr_set_d(r16371, c, MPFR_RNDN);
        mpfr_mul(r16372, r16370, r16371, MPFR_RNDN);
        mpfr_sub(r16373, r16369, r16372, MPFR_RNDN);
        mpfr_sqrt(r16374, r16373, MPFR_RNDN);
        mpfr_sub(r16375, r16368, r16374, MPFR_RNDN);
        mpfr_div(r16376, r16375, r16370, MPFR_RNDN);
        return mpfr_get_d(r16376, MPFR_RNDN);
}

static mpfr_t r16377, r16378, r16379, r16380, r16381, r16382, r16383, r16384, r16385, r16386, r16387;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16377);
        mpfr_init(r16378);
        mpfr_init(r16379);
        mpfr_init(r16380);
        mpfr_init(r16381);
        mpfr_init(r16382);
        mpfr_init(r16383);
        mpfr_init(r16384);
        mpfr_init(r16385);
        mpfr_init(r16386);
        mpfr_init(r16387);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16377, a, MPFR_RNDN);
        mpfr_set_d(r16378, c, MPFR_RNDN);
        mpfr_mul(r16379, r16377, r16378, MPFR_RNDN);
        mpfr_set_d(r16380, b_2F2, MPFR_RNDN);
        mpfr_neg(r16381, r16380, MPFR_RNDN);
        mpfr_sqr(r16382, r16380, MPFR_RNDN);
        mpfr_sub(r16383, r16382, r16379, MPFR_RNDN);
        mpfr_sqrt(r16384, r16383, MPFR_RNDN);
        mpfr_add(r16385, r16381, r16384, MPFR_RNDN);
        mpfr_div(r16386, r16379, r16385, MPFR_RNDN);
        mpfr_div(r16387, r16386, r16377, MPFR_RNDN);
        return mpfr_get_d(r16387, MPFR_RNDN);
}

static mpfr_t r16388, r16389, r16390, r16391, r16392, r16393, r16394, r16395, r16396, r16397, r16398;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16388);
        mpfr_init(r16389);
        mpfr_init(r16390);
        mpfr_init(r16391);
        mpfr_init(r16392);
        mpfr_init(r16393);
        mpfr_init(r16394);
        mpfr_init(r16395);
        mpfr_init(r16396);
        mpfr_init(r16397);
        mpfr_init(r16398);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16388, a, MPFR_RNDN);
        mpfr_set_d(r16389, c, MPFR_RNDN);
        mpfr_mul(r16390, r16388, r16389, MPFR_RNDN);
        mpfr_set_d(r16391, b_2F2, MPFR_RNDN);
        mpfr_neg(r16392, r16391, MPFR_RNDN);
        mpfr_sqr(r16393, r16391, MPFR_RNDN);
        mpfr_sub(r16394, r16393, r16390, MPFR_RNDN);
        mpfr_sqrt(r16395, r16394, MPFR_RNDN);
        mpfr_add(r16396, r16392, r16395, MPFR_RNDN);
        mpfr_div(r16397, r16390, r16396, MPFR_RNDN);
        mpfr_div(r16398, r16397, r16388, MPFR_RNDN);
        return mpfr_get_d(r16398, MPFR_RNDN);
}