#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 r16369 = b_2F2;
        float r16370 = -r16369;
        float r16371 = r16369 * r16369;
        float r16372 = a;
        float r16373 = c;
        float r16374 = r16372 * r16373;
        float r16375 = r16371 - r16374;
        float r16376 = sqrt(r16375);
        float r16377 = r16370 - r16376;
        float r16378 = r16377 / r16372;
        return r16378;
}

double f_id(double a, double b_2F2, double c) {
        double r16379 = b_2F2;
        double r16380 = -r16379;
        double r16381 = r16379 * r16379;
        double r16382 = a;
        double r16383 = c;
        double r16384 = r16382 * r16383;
        double r16385 = r16381 - r16384;
        double r16386 = sqrt(r16385);
        double r16387 = r16380 - r16386;
        double r16388 = r16387 / r16382;
        return r16388;
}


double f_of(float a, float b_2F2, float c) {
        float r16389 = a;
        float r16390 = 1.0f;
        float r16391 = r16389 / r16390;
        float r16392 = c;
        float r16393 = b_2F2;
        float r16394 = -r16393;
        float r16395 = r16393 * r16393;
        float r16396 = r16389 * r16392;
        float r16397 = r16395 - r16396;
        float r16398 = sqrt(r16397);
        float r16399 = r16394 + r16398;
        float r16400 = r16392 / r16399;
        float r16401 = r16391 * r16400;
        float r16402 = r16401 / r16389;
        return r16402;
}

double f_od(double a, double b_2F2, double c) {
        double r16403 = a;
        double r16404 = 1.0;
        double r16405 = r16403 / r16404;
        double r16406 = c;
        double r16407 = b_2F2;
        double r16408 = -r16407;
        double r16409 = r16407 * r16407;
        double r16410 = r16403 * r16406;
        double r16411 = r16409 - r16410;
        double r16412 = sqrt(r16411);
        double r16413 = r16408 + r16412;
        double r16414 = r16406 / r16413;
        double r16415 = r16405 * r16414;
        double r16416 = r16415 / r16403;
        return r16416;
}

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 r16417, r16418, r16419, r16420, r16421, r16422, r16423, r16424, r16425, r16426;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16417);
        mpfr_init(r16418);
        mpfr_init(r16419);
        mpfr_init(r16420);
        mpfr_init(r16421);
        mpfr_init(r16422);
        mpfr_init(r16423);
        mpfr_init(r16424);
        mpfr_init(r16425);
        mpfr_init(r16426);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16417, b_2F2, MPFR_RNDN);
        mpfr_neg(r16418, r16417, MPFR_RNDN);
        mpfr_sqr(r16419, r16417, MPFR_RNDN);
        mpfr_set_d(r16420, a, MPFR_RNDN);
        mpfr_set_d(r16421, c, MPFR_RNDN);
        mpfr_mul(r16422, r16420, r16421, MPFR_RNDN);
        mpfr_sub(r16423, r16419, r16422, MPFR_RNDN);
        mpfr_sqrt(r16424, r16423, MPFR_RNDN);
        mpfr_sub(r16425, r16418, r16424, MPFR_RNDN);
        mpfr_div(r16426, r16425, r16420, MPFR_RNDN);
        return mpfr_get_d(r16426, MPFR_RNDN);
}

static mpfr_t r16427, r16428, r16429, r16430, r16431, r16432, r16433, r16434, r16435, r16436, r16437, r16438, r16439, r16440;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16427);
        mpfr_init_set_str(r16428, "1", 10, MPFR_RNDN);
        mpfr_init(r16429);
        mpfr_init(r16430);
        mpfr_init(r16431);
        mpfr_init(r16432);
        mpfr_init(r16433);
        mpfr_init(r16434);
        mpfr_init(r16435);
        mpfr_init(r16436);
        mpfr_init(r16437);
        mpfr_init(r16438);
        mpfr_init(r16439);
        mpfr_init(r16440);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16427, a, MPFR_RNDN);
        ;
        mpfr_div(r16429, r16427, r16428, MPFR_RNDN);
        mpfr_set_d(r16430, c, MPFR_RNDN);
        mpfr_set_d(r16431, b_2F2, MPFR_RNDN);
        mpfr_neg(r16432, r16431, MPFR_RNDN);
        mpfr_sqr(r16433, r16431, MPFR_RNDN);
        mpfr_mul(r16434, r16427, r16430, MPFR_RNDN);
        mpfr_sub(r16435, r16433, r16434, MPFR_RNDN);
        mpfr_sqrt(r16436, r16435, MPFR_RNDN);
        mpfr_add(r16437, r16432, r16436, MPFR_RNDN);
        mpfr_div(r16438, r16430, r16437, MPFR_RNDN);
        mpfr_mul(r16439, r16429, r16438, MPFR_RNDN);
        mpfr_div(r16440, r16439, r16427, MPFR_RNDN);
        return mpfr_get_d(r16440, MPFR_RNDN);
}

static mpfr_t r16441, r16442, r16443, r16444, r16445, r16446, r16447, r16448, r16449, r16450, r16451, r16452, r16453, r16454;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16441);
        mpfr_init_set_str(r16442, "1", 10, MPFR_RNDN);
        mpfr_init(r16443);
        mpfr_init(r16444);
        mpfr_init(r16445);
        mpfr_init(r16446);
        mpfr_init(r16447);
        mpfr_init(r16448);
        mpfr_init(r16449);
        mpfr_init(r16450);
        mpfr_init(r16451);
        mpfr_init(r16452);
        mpfr_init(r16453);
        mpfr_init(r16454);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16441, a, MPFR_RNDN);
        ;
        mpfr_div(r16443, r16441, r16442, MPFR_RNDN);
        mpfr_set_d(r16444, c, MPFR_RNDN);
        mpfr_set_d(r16445, b_2F2, MPFR_RNDN);
        mpfr_neg(r16446, r16445, MPFR_RNDN);
        mpfr_sqr(r16447, r16445, MPFR_RNDN);
        mpfr_mul(r16448, r16441, r16444, MPFR_RNDN);
        mpfr_sub(r16449, r16447, r16448, MPFR_RNDN);
        mpfr_sqrt(r16450, r16449, MPFR_RNDN);
        mpfr_add(r16451, r16446, r16450, MPFR_RNDN);
        mpfr_div(r16452, r16444, r16451, MPFR_RNDN);
        mpfr_mul(r16453, r16443, r16452, MPFR_RNDN);
        mpfr_div(r16454, r16453, r16441, MPFR_RNDN);
        return mpfr_get_d(r16454, MPFR_RNDN);
}