#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 r16321 = b_2F2;
        float r16322 = -r16321;
        float r16323 = r16321 * r16321;
        float r16324 = a;
        float r16325 = c;
        float r16326 = r16324 * r16325;
        float r16327 = r16323 - r16326;
        float r16328 = sqrt(r16327);
        float r16329 = r16322 - r16328;
        float r16330 = r16329 / r16324;
        return r16330;
}

double f_id(double a, double b_2F2, double c) {
        double r16331 = b_2F2;
        double r16332 = -r16331;
        double r16333 = r16331 * r16331;
        double r16334 = a;
        double r16335 = c;
        double r16336 = r16334 * r16335;
        double r16337 = r16333 - r16336;
        double r16338 = sqrt(r16337);
        double r16339 = r16332 - r16338;
        double r16340 = r16339 / r16334;
        return r16340;
}


double f_of(float a, float b_2F2, float c) {
        float r16341 = a;
        float r16342 = c;
        float r16343 = r16341 * r16342;
        float r16344 = b_2F2;
        float r16345 = -r16344;
        float r16346 = r16344 * r16344;
        float r16347 = r16346 - r16343;
        float r16348 = sqrt(r16347);
        float r16349 = r16345 + r16348;
        float r16350 = r16343 / r16349;
        float r16351 = 1.0f;
        float r16352 = r16351 / r16341;
        float r16353 = r16350 * r16352;
        return r16353;
}

double f_od(double a, double b_2F2, double c) {
        double r16354 = a;
        double r16355 = c;
        double r16356 = r16354 * r16355;
        double r16357 = b_2F2;
        double r16358 = -r16357;
        double r16359 = r16357 * r16357;
        double r16360 = r16359 - r16356;
        double r16361 = sqrt(r16360);
        double r16362 = r16358 + r16361;
        double r16363 = r16356 / r16362;
        double r16364 = 1.0;
        double r16365 = r16364 / r16354;
        double r16366 = r16363 * r16365;
        return r16366;
}

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 r16367, r16368, r16369, r16370, r16371, r16372, r16373, r16374, r16375, r16376;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16367);
        mpfr_init(r16368);
        mpfr_init(r16369);
        mpfr_init(r16370);
        mpfr_init(r16371);
        mpfr_init(r16372);
        mpfr_init(r16373);
        mpfr_init(r16374);
        mpfr_init(r16375);
        mpfr_init(r16376);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16367, b_2F2, MPFR_RNDN);
        mpfr_neg(r16368, r16367, MPFR_RNDN);
        mpfr_sqr(r16369, r16367, MPFR_RNDN);
        mpfr_set_d(r16370, a, MPFR_RNDN);
        mpfr_set_d(r16371, c, MPFR_RNDN);
        mpfr_mul(r16372, r16370, r16371, MPFR_RNDN);
        mpfr_sub(r16373, r16369, r16372, MPFR_RNDN);
        mpfr_sqrt(r16374, r16373, MPFR_RNDN);
        mpfr_sub(r16375, r16368, r16374, MPFR_RNDN);
        mpfr_div(r16376, r16375, r16370, MPFR_RNDN);
        return mpfr_get_d(r16376, MPFR_RNDN);
}

static mpfr_t r16377, r16378, r16379, r16380, r16381, r16382, r16383, r16384, r16385, r16386, r16387, r16388, r16389;

void setup_mpfr_f_fm() {
        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);
        mpfr_init_set_str(r16387, "1", 10, MPFR_RNDN);
        mpfr_init(r16388);
        mpfr_init(r16389);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16377, a, MPFR_RNDN);
        mpfr_set_d(r16378, c, MPFR_RNDN);
        mpfr_mul(r16379, r16377, r16378, MPFR_RNDN);
        mpfr_set_d(r16380, b_2F2, MPFR_RNDN);
        mpfr_neg(r16381, r16380, MPFR_RNDN);
        mpfr_sqr(r16382, r16380, MPFR_RNDN);
        mpfr_sub(r16383, r16382, r16379, MPFR_RNDN);
        mpfr_sqrt(r16384, r16383, MPFR_RNDN);
        mpfr_add(r16385, r16381, r16384, MPFR_RNDN);
        mpfr_div(r16386, r16379, r16385, MPFR_RNDN);
        ;
        mpfr_div(r16388, r16387, r16377, MPFR_RNDN);
        mpfr_mul(r16389, r16386, r16388, MPFR_RNDN);
        return mpfr_get_d(r16389, MPFR_RNDN);
}

static mpfr_t r16390, r16391, r16392, r16393, r16394, r16395, r16396, r16397, r16398, r16399, r16400, r16401, r16402;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        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_set_str(r16400, "1", 10, MPFR_RNDN);
        mpfr_init(r16401);
        mpfr_init(r16402);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16390, a, MPFR_RNDN);
        mpfr_set_d(r16391, c, MPFR_RNDN);
        mpfr_mul(r16392, r16390, r16391, MPFR_RNDN);
        mpfr_set_d(r16393, b_2F2, MPFR_RNDN);
        mpfr_neg(r16394, r16393, MPFR_RNDN);
        mpfr_sqr(r16395, r16393, MPFR_RNDN);
        mpfr_sub(r16396, r16395, r16392, MPFR_RNDN);
        mpfr_sqrt(r16397, r16396, MPFR_RNDN);
        mpfr_add(r16398, r16394, r16397, MPFR_RNDN);
        mpfr_div(r16399, r16392, r16398, MPFR_RNDN);
        ;
        mpfr_div(r16401, r16400, r16390, MPFR_RNDN);
        mpfr_mul(r16402, r16399, r16401, MPFR_RNDN);
        return mpfr_get_d(r16402, MPFR_RNDN);
}