#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 r16269 = b_2F2;
        float r16270 = -r16269;
        float r16271 = r16269 * r16269;
        float r16272 = a;
        float r16273 = c;
        float r16274 = r16272 * r16273;
        float r16275 = r16271 - r16274;
        float r16276 = sqrt(r16275);
        float r16277 = r16270 - r16276;
        float r16278 = r16277 / r16272;
        return r16278;
}

double f_id(double a, double b_2F2, double c) {
        double r16279 = b_2F2;
        double r16280 = -r16279;
        double r16281 = r16279 * r16279;
        double r16282 = a;
        double r16283 = c;
        double r16284 = r16282 * r16283;
        double r16285 = r16281 - r16284;
        double r16286 = sqrt(r16285);
        double r16287 = r16280 - r16286;
        double r16288 = r16287 / r16282;
        return r16288;
}


double f_of(float a, float b_2F2, float c) {
        float r16289 = b_2F2;
        float r16290 = -r16289;
        float r16291 = a;
        float r16292 = r16290 / r16291;
        float r16293 = r16289 * r16289;
        float r16294 = c;
        float r16295 = r16291 * r16294;
        float r16296 = r16293 - r16295;
        float r16297 = sqrt(r16296);
        float r16298 = r16297 / r16291;
        float r16299 = r16292 - r16298;
        return r16299;
}

double f_od(double a, double b_2F2, double c) {
        double r16300 = b_2F2;
        double r16301 = -r16300;
        double r16302 = a;
        double r16303 = r16301 / r16302;
        double r16304 = r16300 * r16300;
        double r16305 = c;
        double r16306 = r16302 * r16305;
        double r16307 = r16304 - r16306;
        double r16308 = sqrt(r16307);
        double r16309 = r16308 / r16302;
        double r16310 = r16303 - r16309;
        return r16310;
}

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 r16311, r16312, r16313, r16314, r16315, r16316, r16317, r16318, r16319, r16320;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16311);
        mpfr_init(r16312);
        mpfr_init(r16313);
        mpfr_init(r16314);
        mpfr_init(r16315);
        mpfr_init(r16316);
        mpfr_init(r16317);
        mpfr_init(r16318);
        mpfr_init(r16319);
        mpfr_init(r16320);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16311, b_2F2, MPFR_RNDN);
        mpfr_neg(r16312, r16311, MPFR_RNDN);
        mpfr_sqr(r16313, r16311, MPFR_RNDN);
        mpfr_set_d(r16314, a, MPFR_RNDN);
        mpfr_set_d(r16315, c, MPFR_RNDN);
        mpfr_mul(r16316, r16314, r16315, MPFR_RNDN);
        mpfr_sub(r16317, r16313, r16316, MPFR_RNDN);
        mpfr_sqrt(r16318, r16317, MPFR_RNDN);
        mpfr_sub(r16319, r16312, r16318, MPFR_RNDN);
        mpfr_div(r16320, r16319, r16314, MPFR_RNDN);
        return mpfr_get_d(r16320, MPFR_RNDN);
}

static mpfr_t r16321, r16322, r16323, r16324, r16325, r16326, r16327, r16328, r16329, r16330, r16331;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16321);
        mpfr_init(r16322);
        mpfr_init(r16323);
        mpfr_init(r16324);
        mpfr_init(r16325);
        mpfr_init(r16326);
        mpfr_init(r16327);
        mpfr_init(r16328);
        mpfr_init(r16329);
        mpfr_init(r16330);
        mpfr_init(r16331);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16321, b_2F2, MPFR_RNDN);
        mpfr_neg(r16322, r16321, MPFR_RNDN);
        mpfr_set_d(r16323, a, MPFR_RNDN);
        mpfr_div(r16324, r16322, r16323, MPFR_RNDN);
        mpfr_sqr(r16325, r16321, MPFR_RNDN);
        mpfr_set_d(r16326, c, MPFR_RNDN);
        mpfr_mul(r16327, r16323, r16326, MPFR_RNDN);
        mpfr_sub(r16328, r16325, r16327, MPFR_RNDN);
        mpfr_sqrt(r16329, r16328, MPFR_RNDN);
        mpfr_div(r16330, r16329, r16323, MPFR_RNDN);
        mpfr_sub(r16331, r16324, r16330, MPFR_RNDN);
        return mpfr_get_d(r16331, MPFR_RNDN);
}

static mpfr_t r16332, r16333, r16334, r16335, r16336, r16337, r16338, r16339, r16340, r16341, r16342;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16332);
        mpfr_init(r16333);
        mpfr_init(r16334);
        mpfr_init(r16335);
        mpfr_init(r16336);
        mpfr_init(r16337);
        mpfr_init(r16338);
        mpfr_init(r16339);
        mpfr_init(r16340);
        mpfr_init(r16341);
        mpfr_init(r16342);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16332, b_2F2, MPFR_RNDN);
        mpfr_neg(r16333, r16332, MPFR_RNDN);
        mpfr_set_d(r16334, a, MPFR_RNDN);
        mpfr_div(r16335, r16333, r16334, MPFR_RNDN);
        mpfr_sqr(r16336, r16332, MPFR_RNDN);
        mpfr_set_d(r16337, c, MPFR_RNDN);
        mpfr_mul(r16338, r16334, r16337, MPFR_RNDN);
        mpfr_sub(r16339, r16336, r16338, MPFR_RNDN);
        mpfr_sqrt(r16340, r16339, MPFR_RNDN);
        mpfr_div(r16341, r16340, r16334, MPFR_RNDN);
        mpfr_sub(r16342, r16335, r16341, MPFR_RNDN);
        return mpfr_get_d(r16342, MPFR_RNDN);
}

