#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 = c;
        float r16359 = r16357 * r16358;
        float r16360 = b_2F2;
        float r16361 = -r16360;
        float r16362 = r16360 * r16360;
        float r16363 = r16362 - r16359;
        float r16364 = sqrt(r16363);
        float r16365 = r16361 + r16364;
        float r16366 = r16359 / r16365;
        float r16367 = r16366 / r16357;
        return r16367;
}

double f_od(double a, double b_2F2, double c) {
        double r16368 = a;
        double r16369 = c;
        double r16370 = r16368 * r16369;
        double r16371 = b_2F2;
        double r16372 = -r16371;
        double r16373 = r16371 * r16371;
        double r16374 = r16373 - r16370;
        double r16375 = sqrt(r16374);
        double r16376 = r16372 + r16375;
        double r16377 = r16370 / r16376;
        double r16378 = r16377 / r16368;
        return r16378;
}

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 r16379, r16380, r16381, r16382, r16383, r16384, r16385, r16386, r16387, r16388;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        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(r16387);
        mpfr_init(r16388);
}

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

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

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        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);
}

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

static mpfr_t r16400, r16401, r16402, r16403, r16404, r16405, r16406, r16407, r16408, r16409, r16410;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        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);
        mpfr_init(r16409);
        mpfr_init(r16410);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16400, a, MPFR_RNDN);
        mpfr_set_d(r16401, c, MPFR_RNDN);
        mpfr_mul(r16402, r16400, r16401, MPFR_RNDN);
        mpfr_set_d(r16403, b_2F2, MPFR_RNDN);
        mpfr_neg(r16404, r16403, MPFR_RNDN);
        mpfr_sqr(r16405, r16403, MPFR_RNDN);
        mpfr_sub(r16406, r16405, r16402, MPFR_RNDN);
        mpfr_sqrt(r16407, r16406, MPFR_RNDN);
        mpfr_add(r16408, r16404, r16407, MPFR_RNDN);
        mpfr_div(r16409, r16402, r16408, MPFR_RNDN);
        mpfr_div(r16410, r16409, r16400, MPFR_RNDN);
        return mpfr_get_d(r16410, MPFR_RNDN);
}

