#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 r16329 = b_2F2;
        float r16330 = -r16329;
        float r16331 = r16329 * r16329;
        float r16332 = a;
        float r16333 = c;
        float r16334 = r16332 * r16333;
        float r16335 = r16331 - r16334;
        float r16336 = sqrt(r16335);
        float r16337 = r16330 - r16336;
        float r16338 = r16337 / r16332;
        return r16338;
}

double f_id(double a, double b_2F2, double c) {
        double r16339 = b_2F2;
        double r16340 = -r16339;
        double r16341 = r16339 * r16339;
        double r16342 = a;
        double r16343 = c;
        double r16344 = r16342 * r16343;
        double r16345 = r16341 - r16344;
        double r16346 = sqrt(r16345);
        double r16347 = r16340 - r16346;
        double r16348 = r16347 / r16342;
        return r16348;
}


double f_of(float a, float b_2F2, float c) {
        float r16349 = a;
        float r16350 = 1.0f;
        float r16351 = r16349 / r16350;
        float r16352 = c;
        float r16353 = b_2F2;
        float r16354 = -r16353;
        float r16355 = r16353 * r16353;
        float r16356 = r16349 * r16352;
        float r16357 = r16355 - r16356;
        float r16358 = sqrt(r16357);
        float r16359 = r16354 + r16358;
        float r16360 = r16352 / r16359;
        float r16361 = r16351 * r16360;
        float r16362 = r16361 / r16349;
        return r16362;
}

double f_od(double a, double b_2F2, double c) {
        double r16363 = a;
        double r16364 = 1.0;
        double r16365 = r16363 / r16364;
        double r16366 = c;
        double r16367 = b_2F2;
        double r16368 = -r16367;
        double r16369 = r16367 * r16367;
        double r16370 = r16363 * r16366;
        double r16371 = r16369 - r16370;
        double r16372 = sqrt(r16371);
        double r16373 = r16368 + r16372;
        double r16374 = r16366 / r16373;
        double r16375 = r16365 * r16374;
        double r16376 = r16375 / r16363;
        return r16376;
}

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 r16377, r16378, r16379, r16380, r16381, r16382, r16383, r16384, r16385, r16386;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16377);
        mpfr_init(r16378);
        mpfr_init(r16379);
        mpfr_init(r16380);
        mpfr_init(r16381);
        mpfr_init(r16382);
        mpfr_init(r16383);
        mpfr_init(r16384);
        mpfr_init(r16385);
        mpfr_init(r16386);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16377, b_2F2, MPFR_RNDN);
        mpfr_neg(r16378, r16377, MPFR_RNDN);
        mpfr_sqr(r16379, r16377, MPFR_RNDN);
        mpfr_set_d(r16380, a, MPFR_RNDN);
        mpfr_set_d(r16381, c, MPFR_RNDN);
        mpfr_mul(r16382, r16380, r16381, MPFR_RNDN);
        mpfr_sub(r16383, r16379, r16382, MPFR_RNDN);
        mpfr_sqrt(r16384, r16383, MPFR_RNDN);
        mpfr_sub(r16385, r16378, r16384, MPFR_RNDN);
        mpfr_div(r16386, r16385, r16380, MPFR_RNDN);
        return mpfr_get_d(r16386, MPFR_RNDN);
}

static mpfr_t r16387, r16388, r16389, r16390, r16391, r16392, r16393, r16394, r16395, r16396, r16397, r16398, r16399, r16400;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16387);
        mpfr_init_set_str(r16388, "1", 10, MPFR_RNDN);
        mpfr_init(r16389);
        mpfr_init(r16390);
        mpfr_init(r16391);
        mpfr_init(r16392);
        mpfr_init(r16393);
        mpfr_init(r16394);
        mpfr_init(r16395);
        mpfr_init(r16396);
        mpfr_init(r16397);
        mpfr_init(r16398);
        mpfr_init(r16399);
        mpfr_init(r16400);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16387, a, MPFR_RNDN);
        ;
        mpfr_div(r16389, r16387, r16388, MPFR_RNDN);
        mpfr_set_d(r16390, c, MPFR_RNDN);
        mpfr_set_d(r16391, b_2F2, MPFR_RNDN);
        mpfr_neg(r16392, r16391, MPFR_RNDN);
        mpfr_sqr(r16393, r16391, MPFR_RNDN);
        mpfr_mul(r16394, r16387, r16390, MPFR_RNDN);
        mpfr_sub(r16395, r16393, r16394, MPFR_RNDN);
        mpfr_sqrt(r16396, r16395, MPFR_RNDN);
        mpfr_add(r16397, r16392, r16396, MPFR_RNDN);
        mpfr_div(r16398, r16390, r16397, MPFR_RNDN);
        mpfr_mul(r16399, r16389, r16398, MPFR_RNDN);
        mpfr_div(r16400, r16399, r16387, MPFR_RNDN);
        return mpfr_get_d(r16400, MPFR_RNDN);
}

static mpfr_t r16401, r16402, r16403, r16404, r16405, r16406, r16407, r16408, r16409, r16410, r16411, r16412, r16413, r16414;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16401);
        mpfr_init_set_str(r16402, "1", 10, MPFR_RNDN);
        mpfr_init(r16403);
        mpfr_init(r16404);
        mpfr_init(r16405);
        mpfr_init(r16406);
        mpfr_init(r16407);
        mpfr_init(r16408);
        mpfr_init(r16409);
        mpfr_init(r16410);
        mpfr_init(r16411);
        mpfr_init(r16412);
        mpfr_init(r16413);
        mpfr_init(r16414);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16401, a, MPFR_RNDN);
        ;
        mpfr_div(r16403, r16401, r16402, MPFR_RNDN);
        mpfr_set_d(r16404, c, MPFR_RNDN);
        mpfr_set_d(r16405, b_2F2, MPFR_RNDN);
        mpfr_neg(r16406, r16405, MPFR_RNDN);
        mpfr_sqr(r16407, r16405, MPFR_RNDN);
        mpfr_mul(r16408, r16401, r16404, MPFR_RNDN);
        mpfr_sub(r16409, r16407, r16408, MPFR_RNDN);
        mpfr_sqrt(r16410, r16409, MPFR_RNDN);
        mpfr_add(r16411, r16406, r16410, MPFR_RNDN);
        mpfr_div(r16412, r16404, r16411, MPFR_RNDN);
        mpfr_mul(r16413, r16403, r16412, MPFR_RNDN);
        mpfr_div(r16414, r16413, r16401, MPFR_RNDN);
        return mpfr_get_d(r16414, MPFR_RNDN);
}