#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 r16389 = b_2F2;
        float r16390 = -r16389;
        float r16391 = r16389 * r16389;
        float r16392 = a;
        float r16393 = c;
        float r16394 = r16392 * r16393;
        float r16395 = r16391 - r16394;
        float r16396 = sqrt(r16395);
        float r16397 = r16390 - r16396;
        float r16398 = r16397 / r16392;
        return r16398;
}

double f_id(double a, double b_2F2, double c) {
        double r16399 = b_2F2;
        double r16400 = -r16399;
        double r16401 = r16399 * r16399;
        double r16402 = a;
        double r16403 = c;
        double r16404 = r16402 * r16403;
        double r16405 = r16401 - r16404;
        double r16406 = sqrt(r16405);
        double r16407 = r16400 - r16406;
        double r16408 = r16407 / r16402;
        return r16408;
}


double f_of(float a, float b_2F2, float c) {
        float r16409 = a;
        float r16410 = 1.0f;
        float r16411 = r16409 / r16410;
        float r16412 = c;
        float r16413 = b_2F2;
        float r16414 = -r16413;
        float r16415 = r16413 * r16413;
        float r16416 = r16409 * r16412;
        float r16417 = r16415 - r16416;
        float r16418 = sqrt(r16417);
        float r16419 = r16414 + r16418;
        float r16420 = r16412 / r16419;
        float r16421 = r16411 * r16420;
        float r16422 = r16421 / r16409;
        return r16422;
}

double f_od(double a, double b_2F2, double c) {
        double r16423 = a;
        double r16424 = 1.0;
        double r16425 = r16423 / r16424;
        double r16426 = c;
        double r16427 = b_2F2;
        double r16428 = -r16427;
        double r16429 = r16427 * r16427;
        double r16430 = r16423 * r16426;
        double r16431 = r16429 - r16430;
        double r16432 = sqrt(r16431);
        double r16433 = r16428 + r16432;
        double r16434 = r16426 / r16433;
        double r16435 = r16425 * r16434;
        double r16436 = r16435 / r16423;
        return r16436;
}

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 r16437, r16438, r16439, r16440, r16441, r16442, r16443, r16444, r16445, r16446;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16437);
        mpfr_init(r16438);
        mpfr_init(r16439);
        mpfr_init(r16440);
        mpfr_init(r16441);
        mpfr_init(r16442);
        mpfr_init(r16443);
        mpfr_init(r16444);
        mpfr_init(r16445);
        mpfr_init(r16446);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16437, b_2F2, MPFR_RNDN);
        mpfr_neg(r16438, r16437, MPFR_RNDN);
        mpfr_sqr(r16439, r16437, MPFR_RNDN);
        mpfr_set_d(r16440, a, MPFR_RNDN);
        mpfr_set_d(r16441, c, MPFR_RNDN);
        mpfr_mul(r16442, r16440, r16441, MPFR_RNDN);
        mpfr_sub(r16443, r16439, r16442, MPFR_RNDN);
        mpfr_sqrt(r16444, r16443, MPFR_RNDN);
        mpfr_sub(r16445, r16438, r16444, MPFR_RNDN);
        mpfr_div(r16446, r16445, r16440, MPFR_RNDN);
        return mpfr_get_d(r16446, MPFR_RNDN);
}

static mpfr_t r16447, r16448, r16449, r16450, r16451, r16452, r16453, r16454, r16455, r16456, r16457, r16458, r16459, r16460;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16447);
        mpfr_init_set_str(r16448, "1", 10, MPFR_RNDN);
        mpfr_init(r16449);
        mpfr_init(r16450);
        mpfr_init(r16451);
        mpfr_init(r16452);
        mpfr_init(r16453);
        mpfr_init(r16454);
        mpfr_init(r16455);
        mpfr_init(r16456);
        mpfr_init(r16457);
        mpfr_init(r16458);
        mpfr_init(r16459);
        mpfr_init(r16460);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16447, a, MPFR_RNDN);
        ;
        mpfr_div(r16449, r16447, r16448, MPFR_RNDN);
        mpfr_set_d(r16450, c, MPFR_RNDN);
        mpfr_set_d(r16451, b_2F2, MPFR_RNDN);
        mpfr_neg(r16452, r16451, MPFR_RNDN);
        mpfr_sqr(r16453, r16451, MPFR_RNDN);
        mpfr_mul(r16454, r16447, r16450, MPFR_RNDN);
        mpfr_sub(r16455, r16453, r16454, MPFR_RNDN);
        mpfr_sqrt(r16456, r16455, MPFR_RNDN);
        mpfr_add(r16457, r16452, r16456, MPFR_RNDN);
        mpfr_div(r16458, r16450, r16457, MPFR_RNDN);
        mpfr_mul(r16459, r16449, r16458, MPFR_RNDN);
        mpfr_div(r16460, r16459, r16447, MPFR_RNDN);
        return mpfr_get_d(r16460, MPFR_RNDN);
}

static mpfr_t r16461, r16462, r16463, r16464, r16465, r16466, r16467, r16468, r16469, r16470, r16471, r16472, r16473, r16474;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16461);
        mpfr_init_set_str(r16462, "1", 10, MPFR_RNDN);
        mpfr_init(r16463);
        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(r16461, a, MPFR_RNDN);
        ;
        mpfr_div(r16463, r16461, r16462, MPFR_RNDN);
        mpfr_set_d(r16464, c, MPFR_RNDN);
        mpfr_set_d(r16465, b_2F2, MPFR_RNDN);
        mpfr_neg(r16466, r16465, MPFR_RNDN);
        mpfr_sqr(r16467, r16465, MPFR_RNDN);
        mpfr_mul(r16468, r16461, r16464, MPFR_RNDN);
        mpfr_sub(r16469, r16467, r16468, MPFR_RNDN);
        mpfr_sqrt(r16470, r16469, MPFR_RNDN);
        mpfr_add(r16471, r16466, r16470, MPFR_RNDN);
        mpfr_div(r16472, r16464, r16471, MPFR_RNDN);
        mpfr_mul(r16473, r16463, r16472, MPFR_RNDN);
        mpfr_div(r16474, r16473, r16461, MPFR_RNDN);
        return mpfr_get_d(r16474, MPFR_RNDN);
}