#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 r16313 = b_2F2;
        float r16314 = -r16313;
        float r16315 = r16313 * r16313;
        float r16316 = a;
        float r16317 = c;
        float r16318 = r16316 * r16317;
        float r16319 = r16315 - r16318;
        float r16320 = sqrt(r16319);
        float r16321 = r16314 - r16320;
        float r16322 = r16321 / r16316;
        return r16322;
}

double f_id(double a, double b_2F2, double c) {
        double r16323 = b_2F2;
        double r16324 = -r16323;
        double r16325 = r16323 * r16323;
        double r16326 = a;
        double r16327 = c;
        double r16328 = r16326 * r16327;
        double r16329 = r16325 - r16328;
        double r16330 = sqrt(r16329);
        double r16331 = r16324 - r16330;
        double r16332 = r16331 / r16326;
        return r16332;
}


double f_of(float a, float b_2F2, float c) {
        float r16333 = a;
        float r16334 = 1.0f;
        float r16335 = r16333 / r16334;
        float r16336 = c;
        float r16337 = b_2F2;
        float r16338 = -r16337;
        float r16339 = r16337 * r16337;
        float r16340 = r16333 * r16336;
        float r16341 = r16339 - r16340;
        float r16342 = sqrt(r16341);
        float r16343 = r16338 + r16342;
        float r16344 = r16336 / r16343;
        float r16345 = r16335 * r16344;
        float r16346 = r16345 / r16333;
        return r16346;
}

double f_od(double a, double b_2F2, double c) {
        double r16347 = a;
        double r16348 = 1.0;
        double r16349 = r16347 / r16348;
        double r16350 = c;
        double r16351 = b_2F2;
        double r16352 = -r16351;
        double r16353 = r16351 * r16351;
        double r16354 = r16347 * r16350;
        double r16355 = r16353 - r16354;
        double r16356 = sqrt(r16355);
        double r16357 = r16352 + r16356;
        double r16358 = r16350 / r16357;
        double r16359 = r16349 * r16358;
        double r16360 = r16359 / r16347;
        return r16360;
}

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 r16361, r16362, r16363, r16364, r16365, r16366, r16367, r16368, r16369, r16370;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16361);
        mpfr_init(r16362);
        mpfr_init(r16363);
        mpfr_init(r16364);
        mpfr_init(r16365);
        mpfr_init(r16366);
        mpfr_init(r16367);
        mpfr_init(r16368);
        mpfr_init(r16369);
        mpfr_init(r16370);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16361, b_2F2, MPFR_RNDN);
        mpfr_neg(r16362, r16361, MPFR_RNDN);
        mpfr_sqr(r16363, r16361, MPFR_RNDN);
        mpfr_set_d(r16364, a, MPFR_RNDN);
        mpfr_set_d(r16365, c, MPFR_RNDN);
        mpfr_mul(r16366, r16364, r16365, MPFR_RNDN);
        mpfr_sub(r16367, r16363, r16366, MPFR_RNDN);
        mpfr_sqrt(r16368, r16367, MPFR_RNDN);
        mpfr_sub(r16369, r16362, r16368, MPFR_RNDN);
        mpfr_div(r16370, r16369, r16364, MPFR_RNDN);
        return mpfr_get_d(r16370, MPFR_RNDN);
}

static mpfr_t r16371, r16372, r16373, r16374, r16375, r16376, r16377, r16378, r16379, r16380, r16381, r16382, r16383, r16384;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16371);
        mpfr_init_set_str(r16372, "1", 10, MPFR_RNDN);
        mpfr_init(r16373);
        mpfr_init(r16374);
        mpfr_init(r16375);
        mpfr_init(r16376);
        mpfr_init(r16377);
        mpfr_init(r16378);
        mpfr_init(r16379);
        mpfr_init(r16380);
        mpfr_init(r16381);
        mpfr_init(r16382);
        mpfr_init(r16383);
        mpfr_init(r16384);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16371, a, MPFR_RNDN);
        ;
        mpfr_div(r16373, r16371, r16372, MPFR_RNDN);
        mpfr_set_d(r16374, c, MPFR_RNDN);
        mpfr_set_d(r16375, b_2F2, MPFR_RNDN);
        mpfr_neg(r16376, r16375, MPFR_RNDN);
        mpfr_sqr(r16377, r16375, MPFR_RNDN);
        mpfr_mul(r16378, r16371, r16374, MPFR_RNDN);
        mpfr_sub(r16379, r16377, r16378, MPFR_RNDN);
        mpfr_sqrt(r16380, r16379, MPFR_RNDN);
        mpfr_add(r16381, r16376, r16380, MPFR_RNDN);
        mpfr_div(r16382, r16374, r16381, MPFR_RNDN);
        mpfr_mul(r16383, r16373, r16382, MPFR_RNDN);
        mpfr_div(r16384, r16383, r16371, MPFR_RNDN);
        return mpfr_get_d(r16384, MPFR_RNDN);
}

static mpfr_t r16385, r16386, r16387, r16388, r16389, r16390, r16391, r16392, r16393, r16394, r16395, r16396, r16397, r16398;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16385);
        mpfr_init_set_str(r16386, "1", 10, MPFR_RNDN);
        mpfr_init(r16387);
        mpfr_init(r16388);
        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);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16385, a, MPFR_RNDN);
        ;
        mpfr_div(r16387, r16385, r16386, MPFR_RNDN);
        mpfr_set_d(r16388, c, MPFR_RNDN);
        mpfr_set_d(r16389, b_2F2, MPFR_RNDN);
        mpfr_neg(r16390, r16389, MPFR_RNDN);
        mpfr_sqr(r16391, r16389, MPFR_RNDN);
        mpfr_mul(r16392, r16385, r16388, MPFR_RNDN);
        mpfr_sub(r16393, r16391, r16392, MPFR_RNDN);
        mpfr_sqrt(r16394, r16393, MPFR_RNDN);
        mpfr_add(r16395, r16390, r16394, MPFR_RNDN);
        mpfr_div(r16396, r16388, r16395, MPFR_RNDN);
        mpfr_mul(r16397, r16387, r16396, MPFR_RNDN);
        mpfr_div(r16398, r16397, r16385, MPFR_RNDN);
        return mpfr_get_d(r16398, MPFR_RNDN);
}