#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 r16218 = b_2F2;
        float r16219 = -r16218;
        float r16220 = r16218 * r16218;
        float r16221 = a;
        float r16222 = c;
        float r16223 = r16221 * r16222;
        float r16224 = r16220 - r16223;
        float r16225 = sqrt(r16224);
        float r16226 = r16219 - r16225;
        float r16227 = r16226 / r16221;
        return r16227;
}

double f_id(double a, double b_2F2, double c) {
        double r16228 = b_2F2;
        double r16229 = -r16228;
        double r16230 = r16228 * r16228;
        double r16231 = a;
        double r16232 = c;
        double r16233 = r16231 * r16232;
        double r16234 = r16230 - r16233;
        double r16235 = sqrt(r16234);
        double r16236 = r16229 - r16235;
        double r16237 = r16236 / r16231;
        return r16237;
}


double f_of(float a, float b_2F2, float c) {
        float r16238 = a;
        float r16239 = c;
        float r16240 = r16238 * r16239;
        float r16241 = b_2F2;
        float r16242 = -r16241;
        float r16243 = r16241 * r16241;
        float r16244 = r16243 - r16240;
        float r16245 = sqrt(r16244);
        float r16246 = r16242 + r16245;
        float r16247 = r16240 / r16246;
        float r16248 = r16247 / r16238;
        return r16248;
}

double f_od(double a, double b_2F2, double c) {
        double r16249 = a;
        double r16250 = c;
        double r16251 = r16249 * r16250;
        double r16252 = b_2F2;
        double r16253 = -r16252;
        double r16254 = r16252 * r16252;
        double r16255 = r16254 - r16251;
        double r16256 = sqrt(r16255);
        double r16257 = r16253 + r16256;
        double r16258 = r16251 / r16257;
        double r16259 = r16258 / r16249;
        return r16259;
}

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 r16260, r16261, r16262, r16263, r16264, r16265, r16266, r16267, r16268, r16269;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16260);
        mpfr_init(r16261);
        mpfr_init(r16262);
        mpfr_init(r16263);
        mpfr_init(r16264);
        mpfr_init(r16265);
        mpfr_init(r16266);
        mpfr_init(r16267);
        mpfr_init(r16268);
        mpfr_init(r16269);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16260, b_2F2, MPFR_RNDN);
        mpfr_neg(r16261, r16260, MPFR_RNDN);
        mpfr_sqr(r16262, r16260, MPFR_RNDN);
        mpfr_set_d(r16263, a, MPFR_RNDN);
        mpfr_set_d(r16264, c, MPFR_RNDN);
        mpfr_mul(r16265, r16263, r16264, MPFR_RNDN);
        mpfr_sub(r16266, r16262, r16265, MPFR_RNDN);
        mpfr_sqrt(r16267, r16266, MPFR_RNDN);
        mpfr_sub(r16268, r16261, r16267, MPFR_RNDN);
        mpfr_div(r16269, r16268, r16263, MPFR_RNDN);
        return mpfr_get_d(r16269, MPFR_RNDN);
}

static mpfr_t r16270, r16271, r16272, r16273, r16274, r16275, r16276, r16277, r16278, r16279, r16280;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16270);
        mpfr_init(r16271);
        mpfr_init(r16272);
        mpfr_init(r16273);
        mpfr_init(r16274);
        mpfr_init(r16275);
        mpfr_init(r16276);
        mpfr_init(r16277);
        mpfr_init(r16278);
        mpfr_init(r16279);
        mpfr_init(r16280);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16270, a, MPFR_RNDN);
        mpfr_set_d(r16271, c, MPFR_RNDN);
        mpfr_mul(r16272, r16270, r16271, MPFR_RNDN);
        mpfr_set_d(r16273, b_2F2, MPFR_RNDN);
        mpfr_neg(r16274, r16273, MPFR_RNDN);
        mpfr_sqr(r16275, r16273, MPFR_RNDN);
        mpfr_sub(r16276, r16275, r16272, MPFR_RNDN);
        mpfr_sqrt(r16277, r16276, MPFR_RNDN);
        mpfr_add(r16278, r16274, r16277, MPFR_RNDN);
        mpfr_div(r16279, r16272, r16278, MPFR_RNDN);
        mpfr_div(r16280, r16279, r16270, MPFR_RNDN);
        return mpfr_get_d(r16280, MPFR_RNDN);
}

static mpfr_t r16281, r16282, r16283, r16284, r16285, r16286, r16287, r16288, r16289, r16290, r16291;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16281);
        mpfr_init(r16282);
        mpfr_init(r16283);
        mpfr_init(r16284);
        mpfr_init(r16285);
        mpfr_init(r16286);
        mpfr_init(r16287);
        mpfr_init(r16288);
        mpfr_init(r16289);
        mpfr_init(r16290);
        mpfr_init(r16291);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16281, a, MPFR_RNDN);
        mpfr_set_d(r16282, c, MPFR_RNDN);
        mpfr_mul(r16283, r16281, r16282, MPFR_RNDN);
        mpfr_set_d(r16284, b_2F2, MPFR_RNDN);
        mpfr_neg(r16285, r16284, MPFR_RNDN);
        mpfr_sqr(r16286, r16284, MPFR_RNDN);
        mpfr_sub(r16287, r16286, r16283, MPFR_RNDN);
        mpfr_sqrt(r16288, r16287, MPFR_RNDN);
        mpfr_add(r16289, r16285, r16288, MPFR_RNDN);
        mpfr_div(r16290, r16283, r16289, MPFR_RNDN);
        mpfr_div(r16291, r16290, r16281, MPFR_RNDN);
        return mpfr_get_d(r16291, MPFR_RNDN);
}