#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 r16341 = b_2F2;
        float r16342 = -r16341;
        float r16343 = r16341 * r16341;
        float r16344 = a;
        float r16345 = c;
        float r16346 = r16344 * r16345;
        float r16347 = r16343 - r16346;
        float r16348 = sqrt(r16347);
        float r16349 = r16342 - r16348;
        float r16350 = r16349 / r16344;
        return r16350;
}

double f_id(double a, double b_2F2, double c) {
        double r16351 = b_2F2;
        double r16352 = -r16351;
        double r16353 = r16351 * r16351;
        double r16354 = a;
        double r16355 = c;
        double r16356 = r16354 * r16355;
        double r16357 = r16353 - r16356;
        double r16358 = sqrt(r16357);
        double r16359 = r16352 - r16358;
        double r16360 = r16359 / r16354;
        return r16360;
}


double f_of(float a, float b_2F2, float c) {
        float r16361 = a;
        float r16362 = c;
        float r16363 = r16361 * r16362;
        float r16364 = b_2F2;
        float r16365 = -r16364;
        float r16366 = r16364 * r16364;
        float r16367 = r16366 - r16363;
        float r16368 = sqrt(r16367);
        float r16369 = r16365 + r16368;
        float r16370 = r16363 / r16369;
        float r16371 = r16370 / r16361;
        return r16371;
}

double f_od(double a, double b_2F2, double c) {
        double r16372 = a;
        double r16373 = c;
        double r16374 = r16372 * r16373;
        double r16375 = b_2F2;
        double r16376 = -r16375;
        double r16377 = r16375 * r16375;
        double r16378 = r16377 - r16374;
        double r16379 = sqrt(r16378);
        double r16380 = r16376 + r16379;
        double r16381 = r16374 / r16380;
        double r16382 = r16381 / r16372;
        return r16382;
}

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 r16383, r16384, r16385, r16386, r16387, r16388, r16389, r16390, r16391, r16392;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16383);
        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);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16383, b_2F2, MPFR_RNDN);
        mpfr_neg(r16384, r16383, MPFR_RNDN);
        mpfr_sqr(r16385, r16383, MPFR_RNDN);
        mpfr_set_d(r16386, a, MPFR_RNDN);
        mpfr_set_d(r16387, c, MPFR_RNDN);
        mpfr_mul(r16388, r16386, r16387, MPFR_RNDN);
        mpfr_sub(r16389, r16385, r16388, MPFR_RNDN);
        mpfr_sqrt(r16390, r16389, MPFR_RNDN);
        mpfr_sub(r16391, r16384, r16390, MPFR_RNDN);
        mpfr_div(r16392, r16391, r16386, MPFR_RNDN);
        return mpfr_get_d(r16392, MPFR_RNDN);
}

static mpfr_t r16393, r16394, r16395, r16396, r16397, r16398, r16399, r16400, r16401, r16402, r16403;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16393);
        mpfr_init(r16394);
        mpfr_init(r16395);
        mpfr_init(r16396);
        mpfr_init(r16397);
        mpfr_init(r16398);
        mpfr_init(r16399);
        mpfr_init(r16400);
        mpfr_init(r16401);
        mpfr_init(r16402);
        mpfr_init(r16403);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16393, a, MPFR_RNDN);
        mpfr_set_d(r16394, c, MPFR_RNDN);
        mpfr_mul(r16395, r16393, r16394, MPFR_RNDN);
        mpfr_set_d(r16396, b_2F2, MPFR_RNDN);
        mpfr_neg(r16397, r16396, MPFR_RNDN);
        mpfr_sqr(r16398, r16396, MPFR_RNDN);
        mpfr_sub(r16399, r16398, r16395, MPFR_RNDN);
        mpfr_sqrt(r16400, r16399, MPFR_RNDN);
        mpfr_add(r16401, r16397, r16400, MPFR_RNDN);
        mpfr_div(r16402, r16395, r16401, MPFR_RNDN);
        mpfr_div(r16403, r16402, r16393, MPFR_RNDN);
        return mpfr_get_d(r16403, MPFR_RNDN);
}

static mpfr_t r16404, r16405, r16406, r16407, r16408, r16409, r16410, r16411, r16412, r16413, r16414;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16404);
        mpfr_init(r16405);
        mpfr_init(r16406);
        mpfr_init(r16407);
        mpfr_init(r16408);
        mpfr_init(r16409);
        mpfr_init(r16410);
        mpfr_init(r16411);
        mpfr_init(r16412);
        mpfr_init(r16413);
        mpfr_init(r16414);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16404, a, MPFR_RNDN);
        mpfr_set_d(r16405, c, MPFR_RNDN);
        mpfr_mul(r16406, r16404, r16405, MPFR_RNDN);
        mpfr_set_d(r16407, b_2F2, MPFR_RNDN);
        mpfr_neg(r16408, r16407, MPFR_RNDN);
        mpfr_sqr(r16409, r16407, MPFR_RNDN);
        mpfr_sub(r16410, r16409, r16406, MPFR_RNDN);
        mpfr_sqrt(r16411, r16410, MPFR_RNDN);
        mpfr_add(r16412, r16408, r16411, MPFR_RNDN);
        mpfr_div(r16413, r16406, r16412, MPFR_RNDN);
        mpfr_div(r16414, r16413, r16404, MPFR_RNDN);
        return mpfr_get_d(r16414, MPFR_RNDN);
}