#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "NMSE Section 6.1 mentioned, B";

double f_if(float a, float b) {
        float r15323 = atan2(1.0, 0.0);
        float r15324 = 2.0f;
        float r15325 = r15323 / r15324;
        float r15326 = 1.0f;
        float r15327 = b;
        float r15328 = r15327 * r15327;
        float r15329 = a;
        float r15330 = r15329 * r15329;
        float r15331 = r15328 - r15330;
        float r15332 = r15326 / r15331;
        float r15333 = r15325 * r15332;
        float r15334 = r15326 / r15329;
        float r15335 = r15326 / r15327;
        float r15336 = r15334 - r15335;
        float r15337 = r15333 * r15336;
        return r15337;
}

double f_id(double a, double b) {
        double r15338 = atan2(1.0, 0.0);
        double r15339 = 2.0;
        double r15340 = r15338 / r15339;
        double r15341 = 1.0;
        double r15342 = b;
        double r15343 = r15342 * r15342;
        double r15344 = a;
        double r15345 = r15344 * r15344;
        double r15346 = r15343 - r15345;
        double r15347 = r15341 / r15346;
        double r15348 = r15340 * r15347;
        double r15349 = r15341 / r15344;
        double r15350 = r15341 / r15342;
        double r15351 = r15349 - r15350;
        double r15352 = r15348 * r15351;
        return r15352;
}


double f_of(float a, float b) {
        float r15353 = atan2(1.0, 0.0);
        float r15354 = a;
        float r15355 = b;
        float r15356 = r15354 + r15355;
        float r15357 = r15353 / r15356;
        float r15358 = 2.0f;
        float r15359 = r15354 * r15355;
        float r15360 = r15358 * r15359;
        float r15361 = r15357 / r15360;
        return r15361;
}

double f_od(double a, double b) {
        double r15362 = atan2(1.0, 0.0);
        double r15363 = a;
        double r15364 = b;
        double r15365 = r15363 + r15364;
        double r15366 = r15362 / r15365;
        double r15367 = 2.0;
        double r15368 = r15363 * r15364;
        double r15369 = r15367 * r15368;
        double r15370 = r15366 / r15369;
        return r15370;
}

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 r15371, r15372, r15373, r15374, r15375, r15376, r15377, r15378, r15379, r15380, r15381, r15382, r15383, r15384, r15385;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r15371);
        mpfr_init_set_str(r15372, "2", 10, MPFR_RNDN);
        mpfr_init(r15373);
        mpfr_init_set_str(r15374, "1", 10, MPFR_RNDN);
        mpfr_init(r15375);
        mpfr_init(r15376);
        mpfr_init(r15377);
        mpfr_init(r15378);
        mpfr_init(r15379);
        mpfr_init(r15380);
        mpfr_init(r15381);
        mpfr_init(r15382);
        mpfr_init(r15383);
        mpfr_init(r15384);
        mpfr_init(r15385);
}

double f_im(double a, double b) {
        mpfr_const_pi(r15371, MPFR_RNDN);
        ;
        mpfr_div(r15373, r15371, r15372, MPFR_RNDN);
        ;
        mpfr_set_d(r15375, b, MPFR_RNDN);
        mpfr_sqr(r15376, r15375, MPFR_RNDN);
        mpfr_set_d(r15377, a, MPFR_RNDN);
        mpfr_sqr(r15378, r15377, MPFR_RNDN);
        mpfr_sub(r15379, r15376, r15378, MPFR_RNDN);
        mpfr_div(r15380, r15374, r15379, MPFR_RNDN);
        mpfr_mul(r15381, r15373, r15380, MPFR_RNDN);
        mpfr_div(r15382, r15374, r15377, MPFR_RNDN);
        mpfr_div(r15383, r15374, r15375, MPFR_RNDN);
        mpfr_sub(r15384, r15382, r15383, MPFR_RNDN);
        mpfr_mul(r15385, r15381, r15384, MPFR_RNDN);
        return mpfr_get_d(r15385, MPFR_RNDN);
}

static mpfr_t r15386, r15387, r15388, r15389, r15390, r15391, r15392, r15393, r15394;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15386);
        mpfr_init(r15387);
        mpfr_init(r15388);
        mpfr_init(r15389);
        mpfr_init(r15390);
        mpfr_init_set_str(r15391, "2", 10, MPFR_RNDN);
        mpfr_init(r15392);
        mpfr_init(r15393);
        mpfr_init(r15394);
}

double f_fm(double a, double b) {
        mpfr_const_pi(r15386, MPFR_RNDN);
        mpfr_set_d(r15387, a, MPFR_RNDN);
        mpfr_set_d(r15388, b, MPFR_RNDN);
        mpfr_add(r15389, r15387, r15388, MPFR_RNDN);
        mpfr_div(r15390, r15386, r15389, MPFR_RNDN);
        ;
        mpfr_mul(r15392, r15387, r15388, MPFR_RNDN);
        mpfr_mul(r15393, r15391, r15392, MPFR_RNDN);
        mpfr_div(r15394, r15390, r15393, MPFR_RNDN);
        return mpfr_get_d(r15394, MPFR_RNDN);
}

static mpfr_t r15395, r15396, r15397, r15398, r15399, r15400, r15401, r15402, r15403;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15395);
        mpfr_init(r15396);
        mpfr_init(r15397);
        mpfr_init(r15398);
        mpfr_init(r15399);
        mpfr_init_set_str(r15400, "2", 10, MPFR_RNDN);
        mpfr_init(r15401);
        mpfr_init(r15402);
        mpfr_init(r15403);
}

double f_dm(double a, double b) {
        mpfr_const_pi(r15395, MPFR_RNDN);
        mpfr_set_d(r15396, a, MPFR_RNDN);
        mpfr_set_d(r15397, b, MPFR_RNDN);
        mpfr_add(r15398, r15396, r15397, MPFR_RNDN);
        mpfr_div(r15399, r15395, r15398, MPFR_RNDN);
        ;
        mpfr_mul(r15401, r15396, r15397, MPFR_RNDN);
        mpfr_mul(r15402, r15400, r15401, MPFR_RNDN);
        mpfr_div(r15403, r15399, r15402, MPFR_RNDN);
        return mpfr_get_d(r15403, MPFR_RNDN);
}