#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 = c;
        float r16391 = r16389 * r16390;
        float r16392 = b_2F2;
        float r16393 = -r16392;
        float r16394 = r16392 * r16392;
        float r16395 = r16394 - r16391;
        float r16396 = sqrt(r16395);
        float r16397 = r16393 + r16396;
        float r16398 = r16391 / r16397;
        float r16399 = r16398 / r16389;
        return r16399;
}

double f_od(double a, double b_2F2, double c) {
        double r16400 = a;
        double r16401 = c;
        double r16402 = r16400 * r16401;
        double r16403 = b_2F2;
        double r16404 = -r16403;
        double r16405 = r16403 * r16403;
        double r16406 = r16405 - r16402;
        double r16407 = sqrt(r16406);
        double r16408 = r16404 + r16407;
        double r16409 = r16402 / r16408;
        double r16410 = r16409 / r16400;
        return r16410;
}

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 r16411, r16412, r16413, r16414, r16415, r16416, r16417, r16418, r16419, r16420;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16411);
        mpfr_init(r16412);
        mpfr_init(r16413);
        mpfr_init(r16414);
        mpfr_init(r16415);
        mpfr_init(r16416);
        mpfr_init(r16417);
        mpfr_init(r16418);
        mpfr_init(r16419);
        mpfr_init(r16420);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16411, b_2F2, MPFR_RNDN);
        mpfr_neg(r16412, r16411, MPFR_RNDN);
        mpfr_sqr(r16413, r16411, MPFR_RNDN);
        mpfr_set_d(r16414, a, MPFR_RNDN);
        mpfr_set_d(r16415, c, MPFR_RNDN);
        mpfr_mul(r16416, r16414, r16415, MPFR_RNDN);
        mpfr_sub(r16417, r16413, r16416, MPFR_RNDN);
        mpfr_sqrt(r16418, r16417, MPFR_RNDN);
        mpfr_sub(r16419, r16412, r16418, MPFR_RNDN);
        mpfr_div(r16420, r16419, r16414, MPFR_RNDN);
        return mpfr_get_d(r16420, MPFR_RNDN);
}

static mpfr_t r16421, r16422, r16423, r16424, r16425, r16426, r16427, r16428, r16429, r16430, r16431;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16421);
        mpfr_init(r16422);
        mpfr_init(r16423);
        mpfr_init(r16424);
        mpfr_init(r16425);
        mpfr_init(r16426);
        mpfr_init(r16427);
        mpfr_init(r16428);
        mpfr_init(r16429);
        mpfr_init(r16430);
        mpfr_init(r16431);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16421, a, MPFR_RNDN);
        mpfr_set_d(r16422, c, MPFR_RNDN);
        mpfr_mul(r16423, r16421, r16422, MPFR_RNDN);
        mpfr_set_d(r16424, b_2F2, MPFR_RNDN);
        mpfr_neg(r16425, r16424, MPFR_RNDN);
        mpfr_sqr(r16426, r16424, MPFR_RNDN);
        mpfr_sub(r16427, r16426, r16423, MPFR_RNDN);
        mpfr_sqrt(r16428, r16427, MPFR_RNDN);
        mpfr_add(r16429, r16425, r16428, MPFR_RNDN);
        mpfr_div(r16430, r16423, r16429, MPFR_RNDN);
        mpfr_div(r16431, r16430, r16421, MPFR_RNDN);
        return mpfr_get_d(r16431, MPFR_RNDN);
}

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

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        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(r16432, a, MPFR_RNDN);
        mpfr_set_d(r16433, c, MPFR_RNDN);
        mpfr_mul(r16434, r16432, r16433, MPFR_RNDN);
        mpfr_set_d(r16435, b_2F2, MPFR_RNDN);
        mpfr_neg(r16436, r16435, MPFR_RNDN);
        mpfr_sqr(r16437, r16435, MPFR_RNDN);
        mpfr_sub(r16438, r16437, r16434, MPFR_RNDN);
        mpfr_sqrt(r16439, r16438, MPFR_RNDN);
        mpfr_add(r16440, r16436, r16439, MPFR_RNDN);
        mpfr_div(r16441, r16434, r16440, MPFR_RNDN);
        mpfr_div(r16442, r16441, r16432, MPFR_RNDN);
        return mpfr_get_d(r16442, MPFR_RNDN);
}