#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 r16405 = b_2F2;
        float r16406 = -r16405;
        float r16407 = r16405 * r16405;
        float r16408 = a;
        float r16409 = c;
        float r16410 = r16408 * r16409;
        float r16411 = r16407 - r16410;
        float r16412 = sqrt(r16411);
        float r16413 = r16406 - r16412;
        float r16414 = r16413 / r16408;
        return r16414;
}

double f_id(double a, double b_2F2, double c) {
        double r16415 = b_2F2;
        double r16416 = -r16415;
        double r16417 = r16415 * r16415;
        double r16418 = a;
        double r16419 = c;
        double r16420 = r16418 * r16419;
        double r16421 = r16417 - r16420;
        double r16422 = sqrt(r16421);
        double r16423 = r16416 - r16422;
        double r16424 = r16423 / r16418;
        return r16424;
}


double f_of(float a, float b_2F2, float c) {
        float r16425 = a;
        float r16426 = c;
        float r16427 = r16425 * r16426;
        float r16428 = b_2F2;
        float r16429 = -r16428;
        float r16430 = r16428 * r16428;
        float r16431 = r16430 - r16427;
        float r16432 = sqrt(r16431);
        float r16433 = r16429 + r16432;
        float r16434 = r16427 / r16433;
        float r16435 = r16434 / r16425;
        return r16435;
}

double f_od(double a, double b_2F2, double c) {
        double r16436 = a;
        double r16437 = c;
        double r16438 = r16436 * r16437;
        double r16439 = b_2F2;
        double r16440 = -r16439;
        double r16441 = r16439 * r16439;
        double r16442 = r16441 - r16438;
        double r16443 = sqrt(r16442);
        double r16444 = r16440 + r16443;
        double r16445 = r16438 / r16444;
        double r16446 = r16445 / r16436;
        return r16446;
}

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 r16447, r16448, r16449, r16450, r16451, r16452, r16453, r16454, r16455, r16456;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16447);
        mpfr_init(r16448);
        mpfr_init(r16449);
        mpfr_init(r16450);
        mpfr_init(r16451);
        mpfr_init(r16452);
        mpfr_init(r16453);
        mpfr_init(r16454);
        mpfr_init(r16455);
        mpfr_init(r16456);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16447, b_2F2, MPFR_RNDN);
        mpfr_neg(r16448, r16447, MPFR_RNDN);
        mpfr_sqr(r16449, r16447, MPFR_RNDN);
        mpfr_set_d(r16450, a, MPFR_RNDN);
        mpfr_set_d(r16451, c, MPFR_RNDN);
        mpfr_mul(r16452, r16450, r16451, MPFR_RNDN);
        mpfr_sub(r16453, r16449, r16452, MPFR_RNDN);
        mpfr_sqrt(r16454, r16453, MPFR_RNDN);
        mpfr_sub(r16455, r16448, r16454, MPFR_RNDN);
        mpfr_div(r16456, r16455, r16450, MPFR_RNDN);
        return mpfr_get_d(r16456, MPFR_RNDN);
}

static mpfr_t r16457, r16458, r16459, r16460, r16461, r16462, r16463, r16464, r16465, r16466, r16467;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16457);
        mpfr_init(r16458);
        mpfr_init(r16459);
        mpfr_init(r16460);
        mpfr_init(r16461);
        mpfr_init(r16462);
        mpfr_init(r16463);
        mpfr_init(r16464);
        mpfr_init(r16465);
        mpfr_init(r16466);
        mpfr_init(r16467);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16457, a, MPFR_RNDN);
        mpfr_set_d(r16458, c, MPFR_RNDN);
        mpfr_mul(r16459, r16457, r16458, MPFR_RNDN);
        mpfr_set_d(r16460, b_2F2, MPFR_RNDN);
        mpfr_neg(r16461, r16460, MPFR_RNDN);
        mpfr_sqr(r16462, r16460, MPFR_RNDN);
        mpfr_sub(r16463, r16462, r16459, MPFR_RNDN);
        mpfr_sqrt(r16464, r16463, MPFR_RNDN);
        mpfr_add(r16465, r16461, r16464, MPFR_RNDN);
        mpfr_div(r16466, r16459, r16465, MPFR_RNDN);
        mpfr_div(r16467, r16466, r16457, MPFR_RNDN);
        return mpfr_get_d(r16467, MPFR_RNDN);
}

static mpfr_t r16468, r16469, r16470, r16471, r16472, r16473, r16474, r16475, r16476, r16477, r16478;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16468);
        mpfr_init(r16469);
        mpfr_init(r16470);
        mpfr_init(r16471);
        mpfr_init(r16472);
        mpfr_init(r16473);
        mpfr_init(r16474);
        mpfr_init(r16475);
        mpfr_init(r16476);
        mpfr_init(r16477);
        mpfr_init(r16478);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16468, a, MPFR_RNDN);
        mpfr_set_d(r16469, c, MPFR_RNDN);
        mpfr_mul(r16470, r16468, r16469, MPFR_RNDN);
        mpfr_set_d(r16471, b_2F2, MPFR_RNDN);
        mpfr_neg(r16472, r16471, MPFR_RNDN);
        mpfr_sqr(r16473, r16471, MPFR_RNDN);
        mpfr_sub(r16474, r16473, r16470, MPFR_RNDN);
        mpfr_sqrt(r16475, r16474, MPFR_RNDN);
        mpfr_add(r16476, r16472, r16475, MPFR_RNDN);
        mpfr_div(r16477, r16470, r16476, MPFR_RNDN);
        mpfr_div(r16478, r16477, r16468, MPFR_RNDN);
        return mpfr_get_d(r16478, MPFR_RNDN);
}