#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 r16373 = b_2F2;
        float r16374 = -r16373;
        float r16375 = r16373 * r16373;
        float r16376 = a;
        float r16377 = c;
        float r16378 = r16376 * r16377;
        float r16379 = r16375 - r16378;
        float r16380 = sqrt(r16379);
        float r16381 = r16374 - r16380;
        float r16382 = r16381 / r16376;
        return r16382;
}

double f_id(double a, double b_2F2, double c) {
        double r16383 = b_2F2;
        double r16384 = -r16383;
        double r16385 = r16383 * r16383;
        double r16386 = a;
        double r16387 = c;
        double r16388 = r16386 * r16387;
        double r16389 = r16385 - r16388;
        double r16390 = sqrt(r16389);
        double r16391 = r16384 - r16390;
        double r16392 = r16391 / r16386;
        return r16392;
}


double f_of(float a, float b_2F2, float c) {
        float r16393 = a;
        float r16394 = c;
        float r16395 = r16393 * r16394;
        float r16396 = b_2F2;
        float r16397 = -r16396;
        float r16398 = r16396 * r16396;
        float r16399 = r16398 - r16395;
        float r16400 = sqrt(r16399);
        float r16401 = r16397 + r16400;
        float r16402 = r16395 / r16401;
        float r16403 = r16402 / r16393;
        return r16403;
}

double f_od(double a, double b_2F2, double c) {
        double r16404 = a;
        double r16405 = c;
        double r16406 = r16404 * r16405;
        double r16407 = b_2F2;
        double r16408 = -r16407;
        double r16409 = r16407 * r16407;
        double r16410 = r16409 - r16406;
        double r16411 = sqrt(r16410);
        double r16412 = r16408 + r16411;
        double r16413 = r16406 / r16412;
        double r16414 = r16413 / r16404;
        return r16414;
}

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 r16415, r16416, r16417, r16418, r16419, r16420, r16421, r16422, r16423, r16424;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16415);
        mpfr_init(r16416);
        mpfr_init(r16417);
        mpfr_init(r16418);
        mpfr_init(r16419);
        mpfr_init(r16420);
        mpfr_init(r16421);
        mpfr_init(r16422);
        mpfr_init(r16423);
        mpfr_init(r16424);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16415, b_2F2, MPFR_RNDN);
        mpfr_neg(r16416, r16415, MPFR_RNDN);
        mpfr_sqr(r16417, r16415, MPFR_RNDN);
        mpfr_set_d(r16418, a, MPFR_RNDN);
        mpfr_set_d(r16419, c, MPFR_RNDN);
        mpfr_mul(r16420, r16418, r16419, MPFR_RNDN);
        mpfr_sub(r16421, r16417, r16420, MPFR_RNDN);
        mpfr_sqrt(r16422, r16421, MPFR_RNDN);
        mpfr_sub(r16423, r16416, r16422, MPFR_RNDN);
        mpfr_div(r16424, r16423, r16418, MPFR_RNDN);
        return mpfr_get_d(r16424, MPFR_RNDN);
}

static mpfr_t r16425, r16426, r16427, r16428, r16429, r16430, r16431, r16432, r16433, r16434, r16435;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16425);
        mpfr_init(r16426);
        mpfr_init(r16427);
        mpfr_init(r16428);
        mpfr_init(r16429);
        mpfr_init(r16430);
        mpfr_init(r16431);
        mpfr_init(r16432);
        mpfr_init(r16433);
        mpfr_init(r16434);
        mpfr_init(r16435);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16425, a, MPFR_RNDN);
        mpfr_set_d(r16426, c, MPFR_RNDN);
        mpfr_mul(r16427, r16425, r16426, MPFR_RNDN);
        mpfr_set_d(r16428, b_2F2, MPFR_RNDN);
        mpfr_neg(r16429, r16428, MPFR_RNDN);
        mpfr_sqr(r16430, r16428, MPFR_RNDN);
        mpfr_sub(r16431, r16430, r16427, MPFR_RNDN);
        mpfr_sqrt(r16432, r16431, MPFR_RNDN);
        mpfr_add(r16433, r16429, r16432, MPFR_RNDN);
        mpfr_div(r16434, r16427, r16433, MPFR_RNDN);
        mpfr_div(r16435, r16434, r16425, MPFR_RNDN);
        return mpfr_get_d(r16435, MPFR_RNDN);
}

static mpfr_t r16436, r16437, r16438, r16439, r16440, r16441, r16442, r16443, r16444, r16445, r16446;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16436);
        mpfr_init(r16437);
        mpfr_init(r16438);
        mpfr_init(r16439);
        mpfr_init(r16440);
        mpfr_init(r16441);
        mpfr_init(r16442);
        mpfr_init(r16443);
        mpfr_init(r16444);
        mpfr_init(r16445);
        mpfr_init(r16446);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16436, a, MPFR_RNDN);
        mpfr_set_d(r16437, c, MPFR_RNDN);
        mpfr_mul(r16438, r16436, r16437, MPFR_RNDN);
        mpfr_set_d(r16439, b_2F2, MPFR_RNDN);
        mpfr_neg(r16440, r16439, MPFR_RNDN);
        mpfr_sqr(r16441, r16439, MPFR_RNDN);
        mpfr_sub(r16442, r16441, r16438, MPFR_RNDN);
        mpfr_sqrt(r16443, r16442, MPFR_RNDN);
        mpfr_add(r16444, r16440, r16443, MPFR_RNDN);
        mpfr_div(r16445, r16438, r16444, MPFR_RNDN);
        mpfr_div(r16446, r16445, r16436, MPFR_RNDN);
        return mpfr_get_d(r16446, MPFR_RNDN);
}