#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 r16345 = b_2F2;
        float r16346 = -r16345;
        float r16347 = r16345 * r16345;
        float r16348 = a;
        float r16349 = c;
        float r16350 = r16348 * r16349;
        float r16351 = r16347 - r16350;
        float r16352 = sqrt(r16351);
        float r16353 = r16346 - r16352;
        float r16354 = r16353 / r16348;
        return r16354;
}

double f_id(double a, double b_2F2, double c) {
        double r16355 = b_2F2;
        double r16356 = -r16355;
        double r16357 = r16355 * r16355;
        double r16358 = a;
        double r16359 = c;
        double r16360 = r16358 * r16359;
        double r16361 = r16357 - r16360;
        double r16362 = sqrt(r16361);
        double r16363 = r16356 - r16362;
        double r16364 = r16363 / r16358;
        return r16364;
}


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

double f_od(double a, double b_2F2, double c) {
        double r16376 = a;
        double r16377 = c;
        double r16378 = r16376 * r16377;
        double r16379 = b_2F2;
        double r16380 = -r16379;
        double r16381 = r16379 * r16379;
        double r16382 = r16381 - r16378;
        double r16383 = sqrt(r16382);
        double r16384 = r16380 + r16383;
        double r16385 = r16378 / r16384;
        double r16386 = r16385 / r16376;
        return r16386;
}

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 r16387, r16388, r16389, r16390, r16391, r16392, r16393, r16394, r16395, r16396;

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

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

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

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

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

static mpfr_t r16408, r16409, r16410, r16411, r16412, r16413, r16414, r16415, r16416, r16417, r16418;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16408);
        mpfr_init(r16409);
        mpfr_init(r16410);
        mpfr_init(r16411);
        mpfr_init(r16412);
        mpfr_init(r16413);
        mpfr_init(r16414);
        mpfr_init(r16415);
        mpfr_init(r16416);
        mpfr_init(r16417);
        mpfr_init(r16418);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16408, a, MPFR_RNDN);
        mpfr_set_d(r16409, c, MPFR_RNDN);
        mpfr_mul(r16410, r16408, r16409, MPFR_RNDN);
        mpfr_set_d(r16411, b_2F2, MPFR_RNDN);
        mpfr_neg(r16412, r16411, MPFR_RNDN);
        mpfr_sqr(r16413, r16411, MPFR_RNDN);
        mpfr_sub(r16414, r16413, r16410, MPFR_RNDN);
        mpfr_sqrt(r16415, r16414, MPFR_RNDN);
        mpfr_add(r16416, r16412, r16415, MPFR_RNDN);
        mpfr_div(r16417, r16410, r16416, MPFR_RNDN);
        mpfr_div(r16418, r16417, r16408, MPFR_RNDN);
        return mpfr_get_d(r16418, MPFR_RNDN);
}

