#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 r16337 = b_2F2;
        float r16338 = -r16337;
        float r16339 = r16337 * r16337;
        float r16340 = a;
        float r16341 = c;
        float r16342 = r16340 * r16341;
        float r16343 = r16339 - r16342;
        float r16344 = sqrt(r16343);
        float r16345 = r16338 - r16344;
        float r16346 = r16345 / r16340;
        return r16346;
}

double f_id(double a, double b_2F2, double c) {
        double r16347 = b_2F2;
        double r16348 = -r16347;
        double r16349 = r16347 * r16347;
        double r16350 = a;
        double r16351 = c;
        double r16352 = r16350 * r16351;
        double r16353 = r16349 - r16352;
        double r16354 = sqrt(r16353);
        double r16355 = r16348 - r16354;
        double r16356 = r16355 / r16350;
        return r16356;
}


double f_of(float a, float b_2F2, float c) {
        float r16357 = a;
        float r16358 = 1.0f;
        float r16359 = r16357 / r16358;
        float r16360 = c;
        float r16361 = b_2F2;
        float r16362 = -r16361;
        float r16363 = r16361 * r16361;
        float r16364 = r16357 * r16360;
        float r16365 = r16363 - r16364;
        float r16366 = sqrt(r16365);
        float r16367 = r16362 + r16366;
        float r16368 = r16360 / r16367;
        float r16369 = r16359 * r16368;
        float r16370 = r16369 / r16357;
        return r16370;
}

double f_od(double a, double b_2F2, double c) {
        double r16371 = a;
        double r16372 = 1.0;
        double r16373 = r16371 / r16372;
        double r16374 = c;
        double r16375 = b_2F2;
        double r16376 = -r16375;
        double r16377 = r16375 * r16375;
        double r16378 = r16371 * r16374;
        double r16379 = r16377 - r16378;
        double r16380 = sqrt(r16379);
        double r16381 = r16376 + r16380;
        double r16382 = r16374 / r16381;
        double r16383 = r16373 * r16382;
        double r16384 = r16383 / r16371;
        return r16384;
}

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 r16385, r16386, r16387, r16388, r16389, r16390, r16391, r16392, r16393, r16394;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16385);
        mpfr_init(r16386);
        mpfr_init(r16387);
        mpfr_init(r16388);
        mpfr_init(r16389);
        mpfr_init(r16390);
        mpfr_init(r16391);
        mpfr_init(r16392);
        mpfr_init(r16393);
        mpfr_init(r16394);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16385, b_2F2, MPFR_RNDN);
        mpfr_neg(r16386, r16385, MPFR_RNDN);
        mpfr_sqr(r16387, r16385, MPFR_RNDN);
        mpfr_set_d(r16388, a, MPFR_RNDN);
        mpfr_set_d(r16389, c, MPFR_RNDN);
        mpfr_mul(r16390, r16388, r16389, MPFR_RNDN);
        mpfr_sub(r16391, r16387, r16390, MPFR_RNDN);
        mpfr_sqrt(r16392, r16391, MPFR_RNDN);
        mpfr_sub(r16393, r16386, r16392, MPFR_RNDN);
        mpfr_div(r16394, r16393, r16388, MPFR_RNDN);
        return mpfr_get_d(r16394, MPFR_RNDN);
}

static mpfr_t r16395, r16396, r16397, r16398, r16399, r16400, r16401, r16402, r16403, r16404, r16405, r16406, r16407, r16408;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16395);
        mpfr_init_set_str(r16396, "1", 10, MPFR_RNDN);
        mpfr_init(r16397);
        mpfr_init(r16398);
        mpfr_init(r16399);
        mpfr_init(r16400);
        mpfr_init(r16401);
        mpfr_init(r16402);
        mpfr_init(r16403);
        mpfr_init(r16404);
        mpfr_init(r16405);
        mpfr_init(r16406);
        mpfr_init(r16407);
        mpfr_init(r16408);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16395, a, MPFR_RNDN);
        ;
        mpfr_div(r16397, r16395, r16396, MPFR_RNDN);
        mpfr_set_d(r16398, c, MPFR_RNDN);
        mpfr_set_d(r16399, b_2F2, MPFR_RNDN);
        mpfr_neg(r16400, r16399, MPFR_RNDN);
        mpfr_sqr(r16401, r16399, MPFR_RNDN);
        mpfr_mul(r16402, r16395, r16398, MPFR_RNDN);
        mpfr_sub(r16403, r16401, r16402, MPFR_RNDN);
        mpfr_sqrt(r16404, r16403, MPFR_RNDN);
        mpfr_add(r16405, r16400, r16404, MPFR_RNDN);
        mpfr_div(r16406, r16398, r16405, MPFR_RNDN);
        mpfr_mul(r16407, r16397, r16406, MPFR_RNDN);
        mpfr_div(r16408, r16407, r16395, MPFR_RNDN);
        return mpfr_get_d(r16408, MPFR_RNDN);
}

static mpfr_t r16409, r16410, r16411, r16412, r16413, r16414, r16415, r16416, r16417, r16418, r16419, r16420, r16421, r16422;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16409);
        mpfr_init_set_str(r16410, "1", 10, MPFR_RNDN);
        mpfr_init(r16411);
        mpfr_init(r16412);
        mpfr_init(r16413);
        mpfr_init(r16414);
        mpfr_init(r16415);
        mpfr_init(r16416);
        mpfr_init(r16417);
        mpfr_init(r16418);
        mpfr_init(r16419);
        mpfr_init(r16420);
        mpfr_init(r16421);
        mpfr_init(r16422);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16409, a, MPFR_RNDN);
        ;
        mpfr_div(r16411, r16409, r16410, MPFR_RNDN);
        mpfr_set_d(r16412, c, MPFR_RNDN);
        mpfr_set_d(r16413, b_2F2, MPFR_RNDN);
        mpfr_neg(r16414, r16413, MPFR_RNDN);
        mpfr_sqr(r16415, r16413, MPFR_RNDN);
        mpfr_mul(r16416, r16409, r16412, MPFR_RNDN);
        mpfr_sub(r16417, r16415, r16416, MPFR_RNDN);
        mpfr_sqrt(r16418, r16417, MPFR_RNDN);
        mpfr_add(r16419, r16414, r16418, MPFR_RNDN);
        mpfr_div(r16420, r16412, r16419, MPFR_RNDN);
        mpfr_mul(r16421, r16411, r16420, MPFR_RNDN);
        mpfr_div(r16422, r16421, r16409, MPFR_RNDN);
        return mpfr_get_d(r16422, MPFR_RNDN);
}