#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 r16361 = b_2F2;
        float r16362 = -r16361;
        float r16363 = r16361 * r16361;
        float r16364 = a;
        float r16365 = c;
        float r16366 = r16364 * r16365;
        float r16367 = r16363 - r16366;
        float r16368 = sqrt(r16367);
        float r16369 = r16362 - r16368;
        float r16370 = r16369 / r16364;
        return r16370;
}

double f_id(double a, double b_2F2, double c) {
        double r16371 = b_2F2;
        double r16372 = -r16371;
        double r16373 = r16371 * r16371;
        double r16374 = a;
        double r16375 = c;
        double r16376 = r16374 * r16375;
        double r16377 = r16373 - r16376;
        double r16378 = sqrt(r16377);
        double r16379 = r16372 - r16378;
        double r16380 = r16379 / r16374;
        return r16380;
}


double f_of(float a, float b_2F2, float c) {
        float r16381 = a;
        float r16382 = 1.0f;
        float r16383 = r16381 / r16382;
        float r16384 = c;
        float r16385 = b_2F2;
        float r16386 = -r16385;
        float r16387 = r16385 * r16385;
        float r16388 = r16381 * r16384;
        float r16389 = r16387 - r16388;
        float r16390 = sqrt(r16389);
        float r16391 = r16386 + r16390;
        float r16392 = r16384 / r16391;
        float r16393 = r16383 * r16392;
        float r16394 = r16393 / r16381;
        return r16394;
}

double f_od(double a, double b_2F2, double c) {
        double r16395 = a;
        double r16396 = 1.0;
        double r16397 = r16395 / r16396;
        double r16398 = c;
        double r16399 = b_2F2;
        double r16400 = -r16399;
        double r16401 = r16399 * r16399;
        double r16402 = r16395 * r16398;
        double r16403 = r16401 - r16402;
        double r16404 = sqrt(r16403);
        double r16405 = r16400 + r16404;
        double r16406 = r16398 / r16405;
        double r16407 = r16397 * r16406;
        double r16408 = r16407 / r16395;
        return r16408;
}

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 r16409, r16410, r16411, r16412, r16413, r16414, r16415, r16416, r16417, r16418;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16409);
        mpfr_init(r16410);
        mpfr_init(r16411);
        mpfr_init(r16412);
        mpfr_init(r16413);
        mpfr_init(r16414);
        mpfr_init(r16415);
        mpfr_init(r16416);
        mpfr_init(r16417);
        mpfr_init(r16418);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16409, b_2F2, MPFR_RNDN);
        mpfr_neg(r16410, r16409, MPFR_RNDN);
        mpfr_sqr(r16411, r16409, MPFR_RNDN);
        mpfr_set_d(r16412, a, MPFR_RNDN);
        mpfr_set_d(r16413, c, MPFR_RNDN);
        mpfr_mul(r16414, r16412, r16413, MPFR_RNDN);
        mpfr_sub(r16415, r16411, r16414, MPFR_RNDN);
        mpfr_sqrt(r16416, r16415, MPFR_RNDN);
        mpfr_sub(r16417, r16410, r16416, MPFR_RNDN);
        mpfr_div(r16418, r16417, r16412, MPFR_RNDN);
        return mpfr_get_d(r16418, MPFR_RNDN);
}

static mpfr_t r16419, r16420, r16421, r16422, r16423, r16424, r16425, r16426, r16427, r16428, r16429, r16430, r16431, r16432;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16419);
        mpfr_init_set_str(r16420, "1", 10, MPFR_RNDN);
        mpfr_init(r16421);
        mpfr_init(r16422);
        mpfr_init(r16423);
        mpfr_init(r16424);
        mpfr_init(r16425);
        mpfr_init(r16426);
        mpfr_init(r16427);
        mpfr_init(r16428);
        mpfr_init(r16429);
        mpfr_init(r16430);
        mpfr_init(r16431);
        mpfr_init(r16432);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16419, a, MPFR_RNDN);
        ;
        mpfr_div(r16421, r16419, r16420, MPFR_RNDN);
        mpfr_set_d(r16422, c, MPFR_RNDN);
        mpfr_set_d(r16423, b_2F2, MPFR_RNDN);
        mpfr_neg(r16424, r16423, MPFR_RNDN);
        mpfr_sqr(r16425, r16423, MPFR_RNDN);
        mpfr_mul(r16426, r16419, r16422, MPFR_RNDN);
        mpfr_sub(r16427, r16425, r16426, MPFR_RNDN);
        mpfr_sqrt(r16428, r16427, MPFR_RNDN);
        mpfr_add(r16429, r16424, r16428, MPFR_RNDN);
        mpfr_div(r16430, r16422, r16429, MPFR_RNDN);
        mpfr_mul(r16431, r16421, r16430, MPFR_RNDN);
        mpfr_div(r16432, r16431, r16419, MPFR_RNDN);
        return mpfr_get_d(r16432, MPFR_RNDN);
}

static mpfr_t r16433, r16434, r16435, r16436, r16437, r16438, r16439, r16440, r16441, r16442, r16443, r16444, r16445, r16446;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16433);
        mpfr_init_set_str(r16434, "1", 10, MPFR_RNDN);
        mpfr_init(r16435);
        mpfr_init(r16436);
        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_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16433, a, MPFR_RNDN);
        ;
        mpfr_div(r16435, r16433, r16434, MPFR_RNDN);
        mpfr_set_d(r16436, c, MPFR_RNDN);
        mpfr_set_d(r16437, b_2F2, MPFR_RNDN);
        mpfr_neg(r16438, r16437, MPFR_RNDN);
        mpfr_sqr(r16439, r16437, MPFR_RNDN);
        mpfr_mul(r16440, r16433, r16436, MPFR_RNDN);
        mpfr_sub(r16441, r16439, r16440, MPFR_RNDN);
        mpfr_sqrt(r16442, r16441, MPFR_RNDN);
        mpfr_add(r16443, r16438, r16442, MPFR_RNDN);
        mpfr_div(r16444, r16436, r16443, MPFR_RNDN);
        mpfr_mul(r16445, r16435, r16444, MPFR_RNDN);
        mpfr_div(r16446, r16445, r16433, MPFR_RNDN);
        return mpfr_get_d(r16446, MPFR_RNDN);
}