#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 r15319 = atan2(1.0, 0.0);
        float r15320 = 2.0f;
        float r15321 = r15319 / r15320;
        float r15322 = 1.0f;
        float r15323 = b;
        float r15324 = r15323 * r15323;
        float r15325 = a;
        float r15326 = r15325 * r15325;
        float r15327 = r15324 - r15326;
        float r15328 = r15322 / r15327;
        float r15329 = r15321 * r15328;
        float r15330 = r15322 / r15325;
        float r15331 = r15322 / r15323;
        float r15332 = r15330 - r15331;
        float r15333 = r15329 * r15332;
        return r15333;
}

double f_id(double a, double b) {
        double r15334 = atan2(1.0, 0.0);
        double r15335 = 2.0;
        double r15336 = r15334 / r15335;
        double r15337 = 1.0;
        double r15338 = b;
        double r15339 = r15338 * r15338;
        double r15340 = a;
        double r15341 = r15340 * r15340;
        double r15342 = r15339 - r15341;
        double r15343 = r15337 / r15342;
        double r15344 = r15336 * r15343;
        double r15345 = r15337 / r15340;
        double r15346 = r15337 / r15338;
        double r15347 = r15345 - r15346;
        double r15348 = r15344 * r15347;
        return r15348;
}


double f_of(float a, float b) {
        float r15349 = atan2(1.0, 0.0);
        float r15350 = 1.0f;
        float r15351 = a;
        float r15352 = b;
        float r15353 = r15351 + r15352;
        float r15354 = r15350 / r15353;
        float r15355 = r15349 * r15354;
        float r15356 = 2.0f;
        float r15357 = r15351 * r15352;
        float r15358 = r15356 * r15357;
        float r15359 = r15355 / r15358;
        return r15359;
}

double f_od(double a, double b) {
        double r15360 = atan2(1.0, 0.0);
        double r15361 = 1.0;
        double r15362 = a;
        double r15363 = b;
        double r15364 = r15362 + r15363;
        double r15365 = r15361 / r15364;
        double r15366 = r15360 * r15365;
        double r15367 = 2.0;
        double r15368 = r15362 * r15363;
        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, r15395, r15396;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15386);
        mpfr_init_set_str(r15387, "1", 10, MPFR_RNDN);
        mpfr_init(r15388);
        mpfr_init(r15389);
        mpfr_init(r15390);
        mpfr_init(r15391);
        mpfr_init(r15392);
        mpfr_init_set_str(r15393, "2", 10, MPFR_RNDN);
        mpfr_init(r15394);
        mpfr_init(r15395);
        mpfr_init(r15396);
}

double f_fm(double a, double b) {
        mpfr_const_pi(r15386, MPFR_RNDN);
        ;
        mpfr_set_d(r15388, a, MPFR_RNDN);
        mpfr_set_d(r15389, b, MPFR_RNDN);
        mpfr_add(r15390, r15388, r15389, MPFR_RNDN);
        mpfr_div(r15391, r15387, r15390, MPFR_RNDN);
        mpfr_mul(r15392, r15386, r15391, MPFR_RNDN);
        ;
        mpfr_mul(r15394, r15388, r15389, MPFR_RNDN);
        mpfr_mul(r15395, r15393, r15394, MPFR_RNDN);
        mpfr_div(r15396, r15392, r15395, MPFR_RNDN);
        return mpfr_get_d(r15396, MPFR_RNDN);
}

static mpfr_t r15397, r15398, r15399, r15400, r15401, r15402, r15403, r15404, r15405, r15406, r15407;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15397);
        mpfr_init_set_str(r15398, "1", 10, MPFR_RNDN);
        mpfr_init(r15399);
        mpfr_init(r15400);
        mpfr_init(r15401);
        mpfr_init(r15402);
        mpfr_init(r15403);
        mpfr_init_set_str(r15404, "2", 10, MPFR_RNDN);
        mpfr_init(r15405);
        mpfr_init(r15406);
        mpfr_init(r15407);
}

double f_dm(double a, double b) {
        mpfr_const_pi(r15397, MPFR_RNDN);
        ;
        mpfr_set_d(r15399, a, MPFR_RNDN);
        mpfr_set_d(r15400, b, MPFR_RNDN);
        mpfr_add(r15401, r15399, r15400, MPFR_RNDN);
        mpfr_div(r15402, r15398, r15401, MPFR_RNDN);
        mpfr_mul(r15403, r15397, r15402, MPFR_RNDN);
        ;
        mpfr_mul(r15405, r15399, r15400, MPFR_RNDN);
        mpfr_mul(r15406, r15404, r15405, MPFR_RNDN);
        mpfr_div(r15407, r15403, r15406, MPFR_RNDN);
        return mpfr_get_d(r15407, MPFR_RNDN);
}

