#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 r16254 = b_2F2;
        float r16255 = -r16254;
        float r16256 = r16254 * r16254;
        float r16257 = a;
        float r16258 = c;
        float r16259 = r16257 * r16258;
        float r16260 = r16256 - r16259;
        float r16261 = sqrt(r16260);
        float r16262 = r16255 - r16261;
        float r16263 = r16262 / r16257;
        return r16263;
}

double f_id(double a, double b_2F2, double c) {
        double r16264 = b_2F2;
        double r16265 = -r16264;
        double r16266 = r16264 * r16264;
        double r16267 = a;
        double r16268 = c;
        double r16269 = r16267 * r16268;
        double r16270 = r16266 - r16269;
        double r16271 = sqrt(r16270);
        double r16272 = r16265 - r16271;
        double r16273 = r16272 / r16267;
        return r16273;
}


double f_of(float a, float b_2F2, float c) {
        float r16274 = a;
        float r16275 = 1.0f;
        float r16276 = r16274 / r16275;
        float r16277 = c;
        float r16278 = b_2F2;
        float r16279 = -r16278;
        float r16280 = r16278 * r16278;
        float r16281 = r16274 * r16277;
        float r16282 = r16280 - r16281;
        float r16283 = sqrt(r16282);
        float r16284 = r16279 + r16283;
        float r16285 = r16277 / r16284;
        float r16286 = r16276 * r16285;
        float r16287 = r16286 / r16274;
        return r16287;
}

double f_od(double a, double b_2F2, double c) {
        double r16288 = a;
        double r16289 = 1.0;
        double r16290 = r16288 / r16289;
        double r16291 = c;
        double r16292 = b_2F2;
        double r16293 = -r16292;
        double r16294 = r16292 * r16292;
        double r16295 = r16288 * r16291;
        double r16296 = r16294 - r16295;
        double r16297 = sqrt(r16296);
        double r16298 = r16293 + r16297;
        double r16299 = r16291 / r16298;
        double r16300 = r16290 * r16299;
        double r16301 = r16300 / r16288;
        return r16301;
}

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 r16302, r16303, r16304, r16305, r16306, r16307, r16308, r16309, r16310, r16311;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16302);
        mpfr_init(r16303);
        mpfr_init(r16304);
        mpfr_init(r16305);
        mpfr_init(r16306);
        mpfr_init(r16307);
        mpfr_init(r16308);
        mpfr_init(r16309);
        mpfr_init(r16310);
        mpfr_init(r16311);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16302, b_2F2, MPFR_RNDN);
        mpfr_neg(r16303, r16302, MPFR_RNDN);
        mpfr_sqr(r16304, r16302, MPFR_RNDN);
        mpfr_set_d(r16305, a, MPFR_RNDN);
        mpfr_set_d(r16306, c, MPFR_RNDN);
        mpfr_mul(r16307, r16305, r16306, MPFR_RNDN);
        mpfr_sub(r16308, r16304, r16307, MPFR_RNDN);
        mpfr_sqrt(r16309, r16308, MPFR_RNDN);
        mpfr_sub(r16310, r16303, r16309, MPFR_RNDN);
        mpfr_div(r16311, r16310, r16305, MPFR_RNDN);
        return mpfr_get_d(r16311, MPFR_RNDN);
}

static mpfr_t r16312, r16313, r16314, r16315, r16316, r16317, r16318, r16319, r16320, r16321, r16322, r16323, r16324, r16325;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16312);
        mpfr_init_set_str(r16313, "1", 10, MPFR_RNDN);
        mpfr_init(r16314);
        mpfr_init(r16315);
        mpfr_init(r16316);
        mpfr_init(r16317);
        mpfr_init(r16318);
        mpfr_init(r16319);
        mpfr_init(r16320);
        mpfr_init(r16321);
        mpfr_init(r16322);
        mpfr_init(r16323);
        mpfr_init(r16324);
        mpfr_init(r16325);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16312, a, MPFR_RNDN);
        ;
        mpfr_div(r16314, r16312, r16313, MPFR_RNDN);
        mpfr_set_d(r16315, c, MPFR_RNDN);
        mpfr_set_d(r16316, b_2F2, MPFR_RNDN);
        mpfr_neg(r16317, r16316, MPFR_RNDN);
        mpfr_sqr(r16318, r16316, MPFR_RNDN);
        mpfr_mul(r16319, r16312, r16315, MPFR_RNDN);
        mpfr_sub(r16320, r16318, r16319, MPFR_RNDN);
        mpfr_sqrt(r16321, r16320, MPFR_RNDN);
        mpfr_add(r16322, r16317, r16321, MPFR_RNDN);
        mpfr_div(r16323, r16315, r16322, MPFR_RNDN);
        mpfr_mul(r16324, r16314, r16323, MPFR_RNDN);
        mpfr_div(r16325, r16324, r16312, MPFR_RNDN);
        return mpfr_get_d(r16325, MPFR_RNDN);
}

static mpfr_t r16326, r16327, r16328, r16329, r16330, r16331, r16332, r16333, r16334, r16335, r16336, r16337, r16338, r16339;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16326);
        mpfr_init_set_str(r16327, "1", 10, MPFR_RNDN);
        mpfr_init(r16328);
        mpfr_init(r16329);
        mpfr_init(r16330);
        mpfr_init(r16331);
        mpfr_init(r16332);
        mpfr_init(r16333);
        mpfr_init(r16334);
        mpfr_init(r16335);
        mpfr_init(r16336);
        mpfr_init(r16337);
        mpfr_init(r16338);
        mpfr_init(r16339);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16326, a, MPFR_RNDN);
        ;
        mpfr_div(r16328, r16326, r16327, MPFR_RNDN);
        mpfr_set_d(r16329, c, MPFR_RNDN);
        mpfr_set_d(r16330, b_2F2, MPFR_RNDN);
        mpfr_neg(r16331, r16330, MPFR_RNDN);
        mpfr_sqr(r16332, r16330, MPFR_RNDN);
        mpfr_mul(r16333, r16326, r16329, MPFR_RNDN);
        mpfr_sub(r16334, r16332, r16333, MPFR_RNDN);
        mpfr_sqrt(r16335, r16334, MPFR_RNDN);
        mpfr_add(r16336, r16331, r16335, MPFR_RNDN);
        mpfr_div(r16337, r16329, r16336, MPFR_RNDN);
        mpfr_mul(r16338, r16328, r16337, MPFR_RNDN);
        mpfr_div(r16339, r16338, r16326, MPFR_RNDN);
        return mpfr_get_d(r16339, MPFR_RNDN);
}

