#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 r16365 = b_2F2;
        float r16366 = -r16365;
        float r16367 = r16365 * r16365;
        float r16368 = a;
        float r16369 = c;
        float r16370 = r16368 * r16369;
        float r16371 = r16367 - r16370;
        float r16372 = sqrt(r16371);
        float r16373 = r16366 - r16372;
        float r16374 = r16373 / r16368;
        return r16374;
}

double f_id(double a, double b_2F2, double c) {
        double r16375 = b_2F2;
        double r16376 = -r16375;
        double r16377 = r16375 * r16375;
        double r16378 = a;
        double r16379 = c;
        double r16380 = r16378 * r16379;
        double r16381 = r16377 - r16380;
        double r16382 = sqrt(r16381);
        double r16383 = r16376 - r16382;
        double r16384 = r16383 / r16378;
        return r16384;
}


double f_of(float a, float b_2F2, float c) {
        float r16385 = a;
        float r16386 = c;
        float r16387 = r16385 * r16386;
        float r16388 = b_2F2;
        float r16389 = -r16388;
        float r16390 = r16388 * r16388;
        float r16391 = r16390 - r16387;
        float r16392 = sqrt(r16391);
        float r16393 = r16389 + r16392;
        float r16394 = r16387 / r16393;
        float r16395 = r16394 / r16385;
        return r16395;
}

double f_od(double a, double b_2F2, double c) {
        double r16396 = a;
        double r16397 = c;
        double r16398 = r16396 * r16397;
        double r16399 = b_2F2;
        double r16400 = -r16399;
        double r16401 = r16399 * r16399;
        double r16402 = r16401 - r16398;
        double r16403 = sqrt(r16402);
        double r16404 = r16400 + r16403;
        double r16405 = r16398 / r16404;
        double r16406 = r16405 / r16396;
        return r16406;
}

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 r16407, r16408, r16409, r16410, r16411, r16412, r16413, r16414, r16415, r16416;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16407);
        mpfr_init(r16408);
        mpfr_init(r16409);
        mpfr_init(r16410);
        mpfr_init(r16411);
        mpfr_init(r16412);
        mpfr_init(r16413);
        mpfr_init(r16414);
        mpfr_init(r16415);
        mpfr_init(r16416);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16407, b_2F2, MPFR_RNDN);
        mpfr_neg(r16408, r16407, MPFR_RNDN);
        mpfr_sqr(r16409, r16407, MPFR_RNDN);
        mpfr_set_d(r16410, a, MPFR_RNDN);
        mpfr_set_d(r16411, c, MPFR_RNDN);
        mpfr_mul(r16412, r16410, r16411, MPFR_RNDN);
        mpfr_sub(r16413, r16409, r16412, MPFR_RNDN);
        mpfr_sqrt(r16414, r16413, MPFR_RNDN);
        mpfr_sub(r16415, r16408, r16414, MPFR_RNDN);
        mpfr_div(r16416, r16415, r16410, MPFR_RNDN);
        return mpfr_get_d(r16416, MPFR_RNDN);
}

static mpfr_t r16417, r16418, r16419, r16420, r16421, r16422, r16423, r16424, r16425, r16426, r16427;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16417);
        mpfr_init(r16418);
        mpfr_init(r16419);
        mpfr_init(r16420);
        mpfr_init(r16421);
        mpfr_init(r16422);
        mpfr_init(r16423);
        mpfr_init(r16424);
        mpfr_init(r16425);
        mpfr_init(r16426);
        mpfr_init(r16427);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16417, a, MPFR_RNDN);
        mpfr_set_d(r16418, c, MPFR_RNDN);
        mpfr_mul(r16419, r16417, r16418, MPFR_RNDN);
        mpfr_set_d(r16420, b_2F2, MPFR_RNDN);
        mpfr_neg(r16421, r16420, MPFR_RNDN);
        mpfr_sqr(r16422, r16420, MPFR_RNDN);
        mpfr_sub(r16423, r16422, r16419, MPFR_RNDN);
        mpfr_sqrt(r16424, r16423, MPFR_RNDN);
        mpfr_add(r16425, r16421, r16424, MPFR_RNDN);
        mpfr_div(r16426, r16419, r16425, MPFR_RNDN);
        mpfr_div(r16427, r16426, r16417, MPFR_RNDN);
        return mpfr_get_d(r16427, MPFR_RNDN);
}

static mpfr_t r16428, r16429, r16430, r16431, r16432, r16433, r16434, r16435, r16436, r16437, r16438;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16428);
        mpfr_init(r16429);
        mpfr_init(r16430);
        mpfr_init(r16431);
        mpfr_init(r16432);
        mpfr_init(r16433);
        mpfr_init(r16434);
        mpfr_init(r16435);
        mpfr_init(r16436);
        mpfr_init(r16437);
        mpfr_init(r16438);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16428, a, MPFR_RNDN);
        mpfr_set_d(r16429, c, MPFR_RNDN);
        mpfr_mul(r16430, r16428, r16429, MPFR_RNDN);
        mpfr_set_d(r16431, b_2F2, MPFR_RNDN);
        mpfr_neg(r16432, r16431, MPFR_RNDN);
        mpfr_sqr(r16433, r16431, MPFR_RNDN);
        mpfr_sub(r16434, r16433, r16430, MPFR_RNDN);
        mpfr_sqrt(r16435, r16434, MPFR_RNDN);
        mpfr_add(r16436, r16432, r16435, MPFR_RNDN);
        mpfr_div(r16437, r16430, r16436, MPFR_RNDN);
        mpfr_div(r16438, r16437, r16428, MPFR_RNDN);
        return mpfr_get_d(r16438, MPFR_RNDN);
}