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

double f_id(double a, double b_2F2, double c) {
        double r16367 = b_2F2;
        double r16368 = -r16367;
        double r16369 = r16367 * r16367;
        double r16370 = a;
        double r16371 = c;
        double r16372 = r16370 * r16371;
        double r16373 = r16369 - r16372;
        double r16374 = sqrt(r16373);
        double r16375 = r16368 - r16374;
        double r16376 = r16375 / r16370;
        return r16376;
}


double f_of(float a, float b_2F2, float c) {
        float r16377 = a;
        float r16378 = 1.0f;
        float r16379 = r16377 / r16378;
        float r16380 = c;
        float r16381 = b_2F2;
        float r16382 = -r16381;
        float r16383 = r16381 * r16381;
        float r16384 = r16377 * r16380;
        float r16385 = r16383 - r16384;
        float r16386 = sqrt(r16385);
        float r16387 = r16382 + r16386;
        float r16388 = r16380 / r16387;
        float r16389 = r16379 * r16388;
        float r16390 = r16389 / r16377;
        return r16390;
}

double f_od(double a, double b_2F2, double c) {
        double r16391 = a;
        double r16392 = 1.0;
        double r16393 = r16391 / r16392;
        double r16394 = c;
        double r16395 = b_2F2;
        double r16396 = -r16395;
        double r16397 = r16395 * r16395;
        double r16398 = r16391 * r16394;
        double r16399 = r16397 - r16398;
        double r16400 = sqrt(r16399);
        double r16401 = r16396 + r16400;
        double r16402 = r16394 / r16401;
        double r16403 = r16393 * r16402;
        double r16404 = r16403 / r16391;
        return r16404;
}

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 r16405, r16406, r16407, r16408, r16409, r16410, r16411, r16412, r16413, r16414;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16405);
        mpfr_init(r16406);
        mpfr_init(r16407);
        mpfr_init(r16408);
        mpfr_init(r16409);
        mpfr_init(r16410);
        mpfr_init(r16411);
        mpfr_init(r16412);
        mpfr_init(r16413);
        mpfr_init(r16414);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16405, b_2F2, MPFR_RNDN);
        mpfr_neg(r16406, r16405, MPFR_RNDN);
        mpfr_sqr(r16407, r16405, MPFR_RNDN);
        mpfr_set_d(r16408, a, MPFR_RNDN);
        mpfr_set_d(r16409, c, MPFR_RNDN);
        mpfr_mul(r16410, r16408, r16409, MPFR_RNDN);
        mpfr_sub(r16411, r16407, r16410, MPFR_RNDN);
        mpfr_sqrt(r16412, r16411, MPFR_RNDN);
        mpfr_sub(r16413, r16406, r16412, MPFR_RNDN);
        mpfr_div(r16414, r16413, r16408, MPFR_RNDN);
        return mpfr_get_d(r16414, MPFR_RNDN);
}

static mpfr_t r16415, r16416, r16417, r16418, r16419, r16420, r16421, r16422, r16423, r16424, r16425, r16426, r16427, r16428;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16415);
        mpfr_init_set_str(r16416, "1", 10, MPFR_RNDN);
        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);
        mpfr_init(r16427);
        mpfr_init(r16428);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16415, a, MPFR_RNDN);
        ;
        mpfr_div(r16417, r16415, r16416, MPFR_RNDN);
        mpfr_set_d(r16418, c, MPFR_RNDN);
        mpfr_set_d(r16419, b_2F2, MPFR_RNDN);
        mpfr_neg(r16420, r16419, MPFR_RNDN);
        mpfr_sqr(r16421, r16419, MPFR_RNDN);
        mpfr_mul(r16422, r16415, r16418, MPFR_RNDN);
        mpfr_sub(r16423, r16421, r16422, MPFR_RNDN);
        mpfr_sqrt(r16424, r16423, MPFR_RNDN);
        mpfr_add(r16425, r16420, r16424, MPFR_RNDN);
        mpfr_div(r16426, r16418, r16425, MPFR_RNDN);
        mpfr_mul(r16427, r16417, r16426, MPFR_RNDN);
        mpfr_div(r16428, r16427, r16415, MPFR_RNDN);
        return mpfr_get_d(r16428, MPFR_RNDN);
}

static mpfr_t r16429, r16430, r16431, r16432, r16433, r16434, r16435, r16436, r16437, r16438, r16439, r16440, r16441, r16442;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16429);
        mpfr_init_set_str(r16430, "1", 10, MPFR_RNDN);
        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);
        mpfr_init(r16441);
        mpfr_init(r16442);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16429, a, MPFR_RNDN);
        ;
        mpfr_div(r16431, r16429, r16430, MPFR_RNDN);
        mpfr_set_d(r16432, c, MPFR_RNDN);
        mpfr_set_d(r16433, b_2F2, MPFR_RNDN);
        mpfr_neg(r16434, r16433, MPFR_RNDN);
        mpfr_sqr(r16435, r16433, MPFR_RNDN);
        mpfr_mul(r16436, r16429, r16432, MPFR_RNDN);
        mpfr_sub(r16437, r16435, r16436, MPFR_RNDN);
        mpfr_sqrt(r16438, r16437, MPFR_RNDN);
        mpfr_add(r16439, r16434, r16438, MPFR_RNDN);
        mpfr_div(r16440, r16432, r16439, MPFR_RNDN);
        mpfr_mul(r16441, r16431, r16440, MPFR_RNDN);
        mpfr_div(r16442, r16441, r16429, MPFR_RNDN);
        return mpfr_get_d(r16442, MPFR_RNDN);
}

