#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 r16401 = b_2F2;
        float r16402 = -r16401;
        float r16403 = r16401 * r16401;
        float r16404 = a;
        float r16405 = c;
        float r16406 = r16404 * r16405;
        float r16407 = r16403 - r16406;
        float r16408 = sqrt(r16407);
        float r16409 = r16402 - r16408;
        float r16410 = r16409 / r16404;
        return r16410;
}

double f_id(double a, double b_2F2, double c) {
        double r16411 = b_2F2;
        double r16412 = -r16411;
        double r16413 = r16411 * r16411;
        double r16414 = a;
        double r16415 = c;
        double r16416 = r16414 * r16415;
        double r16417 = r16413 - r16416;
        double r16418 = sqrt(r16417);
        double r16419 = r16412 - r16418;
        double r16420 = r16419 / r16414;
        return r16420;
}


double f_of(float a, float b_2F2, float c) {
        float r16421 = a;
        float r16422 = c;
        float r16423 = r16421 * r16422;
        float r16424 = b_2F2;
        float r16425 = -r16424;
        float r16426 = r16424 * r16424;
        float r16427 = r16426 - r16423;
        float r16428 = sqrt(r16427);
        float r16429 = r16425 + r16428;
        float r16430 = r16423 / r16429;
        float r16431 = r16430 / r16421;
        return r16431;
}

double f_od(double a, double b_2F2, double c) {
        double r16432 = a;
        double r16433 = c;
        double r16434 = r16432 * r16433;
        double r16435 = b_2F2;
        double r16436 = -r16435;
        double r16437 = r16435 * r16435;
        double r16438 = r16437 - r16434;
        double r16439 = sqrt(r16438);
        double r16440 = r16436 + r16439;
        double r16441 = r16434 / r16440;
        double r16442 = r16441 / r16432;
        return r16442;
}

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 r16443, r16444, r16445, r16446, r16447, r16448, r16449, r16450, r16451, r16452;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16443);
        mpfr_init(r16444);
        mpfr_init(r16445);
        mpfr_init(r16446);
        mpfr_init(r16447);
        mpfr_init(r16448);
        mpfr_init(r16449);
        mpfr_init(r16450);
        mpfr_init(r16451);
        mpfr_init(r16452);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16443, b_2F2, MPFR_RNDN);
        mpfr_neg(r16444, r16443, MPFR_RNDN);
        mpfr_sqr(r16445, r16443, MPFR_RNDN);
        mpfr_set_d(r16446, a, MPFR_RNDN);
        mpfr_set_d(r16447, c, MPFR_RNDN);
        mpfr_mul(r16448, r16446, r16447, MPFR_RNDN);
        mpfr_sub(r16449, r16445, r16448, MPFR_RNDN);
        mpfr_sqrt(r16450, r16449, MPFR_RNDN);
        mpfr_sub(r16451, r16444, r16450, MPFR_RNDN);
        mpfr_div(r16452, r16451, r16446, MPFR_RNDN);
        return mpfr_get_d(r16452, MPFR_RNDN);
}

static mpfr_t r16453, r16454, r16455, r16456, r16457, r16458, r16459, r16460, r16461, r16462, r16463;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16453);
        mpfr_init(r16454);
        mpfr_init(r16455);
        mpfr_init(r16456);
        mpfr_init(r16457);
        mpfr_init(r16458);
        mpfr_init(r16459);
        mpfr_init(r16460);
        mpfr_init(r16461);
        mpfr_init(r16462);
        mpfr_init(r16463);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16453, a, MPFR_RNDN);
        mpfr_set_d(r16454, c, MPFR_RNDN);
        mpfr_mul(r16455, r16453, r16454, MPFR_RNDN);
        mpfr_set_d(r16456, b_2F2, MPFR_RNDN);
        mpfr_neg(r16457, r16456, MPFR_RNDN);
        mpfr_sqr(r16458, r16456, MPFR_RNDN);
        mpfr_sub(r16459, r16458, r16455, MPFR_RNDN);
        mpfr_sqrt(r16460, r16459, MPFR_RNDN);
        mpfr_add(r16461, r16457, r16460, MPFR_RNDN);
        mpfr_div(r16462, r16455, r16461, MPFR_RNDN);
        mpfr_div(r16463, r16462, r16453, MPFR_RNDN);
        return mpfr_get_d(r16463, MPFR_RNDN);
}

static mpfr_t r16464, r16465, r16466, r16467, r16468, r16469, r16470, r16471, r16472, r16473, r16474;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16464);
        mpfr_init(r16465);
        mpfr_init(r16466);
        mpfr_init(r16467);
        mpfr_init(r16468);
        mpfr_init(r16469);
        mpfr_init(r16470);
        mpfr_init(r16471);
        mpfr_init(r16472);
        mpfr_init(r16473);
        mpfr_init(r16474);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16464, a, MPFR_RNDN);
        mpfr_set_d(r16465, c, MPFR_RNDN);
        mpfr_mul(r16466, r16464, r16465, MPFR_RNDN);
        mpfr_set_d(r16467, b_2F2, MPFR_RNDN);
        mpfr_neg(r16468, r16467, MPFR_RNDN);
        mpfr_sqr(r16469, r16467, MPFR_RNDN);
        mpfr_sub(r16470, r16469, r16466, MPFR_RNDN);
        mpfr_sqrt(r16471, r16470, MPFR_RNDN);
        mpfr_add(r16472, r16468, r16471, MPFR_RNDN);
        mpfr_div(r16473, r16466, r16472, MPFR_RNDN);
        mpfr_div(r16474, r16473, r16464, MPFR_RNDN);
        return mpfr_get_d(r16474, MPFR_RNDN);
}