#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 r16377 = b_2F2;
        float r16378 = -r16377;
        float r16379 = r16377 * r16377;
        float r16380 = a;
        float r16381 = c;
        float r16382 = r16380 * r16381;
        float r16383 = r16379 - r16382;
        float r16384 = sqrt(r16383);
        float r16385 = r16378 - r16384;
        float r16386 = r16385 / r16380;
        return r16386;
}

double f_id(double a, double b_2F2, double c) {
        double r16387 = b_2F2;
        double r16388 = -r16387;
        double r16389 = r16387 * r16387;
        double r16390 = a;
        double r16391 = c;
        double r16392 = r16390 * r16391;
        double r16393 = r16389 - r16392;
        double r16394 = sqrt(r16393);
        double r16395 = r16388 - r16394;
        double r16396 = r16395 / r16390;
        return r16396;
}


double f_of(float a, float b_2F2, float c) {
        float r16397 = a;
        float r16398 = 1.0f;
        float r16399 = r16397 / r16398;
        float r16400 = c;
        float r16401 = b_2F2;
        float r16402 = -r16401;
        float r16403 = r16401 * r16401;
        float r16404 = r16397 * r16400;
        float r16405 = r16403 - r16404;
        float r16406 = sqrt(r16405);
        float r16407 = r16402 + r16406;
        float r16408 = r16400 / r16407;
        float r16409 = r16399 * r16408;
        float r16410 = r16409 / r16397;
        return r16410;
}

double f_od(double a, double b_2F2, double c) {
        double r16411 = a;
        double r16412 = 1.0;
        double r16413 = r16411 / r16412;
        double r16414 = c;
        double r16415 = b_2F2;
        double r16416 = -r16415;
        double r16417 = r16415 * r16415;
        double r16418 = r16411 * r16414;
        double r16419 = r16417 - r16418;
        double r16420 = sqrt(r16419);
        double r16421 = r16416 + r16420;
        double r16422 = r16414 / r16421;
        double r16423 = r16413 * r16422;
        double r16424 = r16423 / r16411;
        return r16424;
}

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

void setup_mpfr_f_im() {
        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);
}

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

static mpfr_t r16435, r16436, r16437, r16438, r16439, r16440, r16441, r16442, r16443, r16444, r16445, r16446, r16447, r16448;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16435);
        mpfr_init_set_str(r16436, "1", 10, MPFR_RNDN);
        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);
        mpfr_init(r16447);
        mpfr_init(r16448);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16435, a, MPFR_RNDN);
        ;
        mpfr_div(r16437, r16435, r16436, MPFR_RNDN);
        mpfr_set_d(r16438, c, MPFR_RNDN);
        mpfr_set_d(r16439, b_2F2, MPFR_RNDN);
        mpfr_neg(r16440, r16439, MPFR_RNDN);
        mpfr_sqr(r16441, r16439, MPFR_RNDN);
        mpfr_mul(r16442, r16435, r16438, MPFR_RNDN);
        mpfr_sub(r16443, r16441, r16442, MPFR_RNDN);
        mpfr_sqrt(r16444, r16443, MPFR_RNDN);
        mpfr_add(r16445, r16440, r16444, MPFR_RNDN);
        mpfr_div(r16446, r16438, r16445, MPFR_RNDN);
        mpfr_mul(r16447, r16437, r16446, MPFR_RNDN);
        mpfr_div(r16448, r16447, r16435, MPFR_RNDN);
        return mpfr_get_d(r16448, MPFR_RNDN);
}

static mpfr_t r16449, r16450, r16451, r16452, r16453, r16454, r16455, r16456, r16457, r16458, r16459, r16460, r16461, r16462;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16449);
        mpfr_init_set_str(r16450, "1", 10, MPFR_RNDN);
        mpfr_init(r16451);
        mpfr_init(r16452);
        mpfr_init(r16453);
        mpfr_init(r16454);
        mpfr_init(r16455);
        mpfr_init(r16456);
        mpfr_init(r16457);
        mpfr_init(r16458);
        mpfr_init(r16459);
        mpfr_init(r16460);
        mpfr_init(r16461);
        mpfr_init(r16462);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16449, a, MPFR_RNDN);
        ;
        mpfr_div(r16451, r16449, r16450, MPFR_RNDN);
        mpfr_set_d(r16452, c, MPFR_RNDN);
        mpfr_set_d(r16453, b_2F2, MPFR_RNDN);
        mpfr_neg(r16454, r16453, MPFR_RNDN);
        mpfr_sqr(r16455, r16453, MPFR_RNDN);
        mpfr_mul(r16456, r16449, r16452, MPFR_RNDN);
        mpfr_sub(r16457, r16455, r16456, MPFR_RNDN);
        mpfr_sqrt(r16458, r16457, MPFR_RNDN);
        mpfr_add(r16459, r16454, r16458, MPFR_RNDN);
        mpfr_div(r16460, r16452, r16459, MPFR_RNDN);
        mpfr_mul(r16461, r16451, r16460, MPFR_RNDN);
        mpfr_div(r16462, r16461, r16449, MPFR_RNDN);
        return mpfr_get_d(r16462, MPFR_RNDN);
}