#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 r15331 = atan2(1.0, 0.0);
        float r15332 = 2.0f;
        float r15333 = r15331 / r15332;
        float r15334 = 1.0f;
        float r15335 = b;
        float r15336 = r15335 * r15335;
        float r15337 = a;
        float r15338 = r15337 * r15337;
        float r15339 = r15336 - r15338;
        float r15340 = r15334 / r15339;
        float r15341 = r15333 * r15340;
        float r15342 = r15334 / r15337;
        float r15343 = r15334 / r15335;
        float r15344 = r15342 - r15343;
        float r15345 = r15341 * r15344;
        return r15345;
}

double f_id(double a, double b) {
        double r15346 = atan2(1.0, 0.0);
        double r15347 = 2.0;
        double r15348 = r15346 / r15347;
        double r15349 = 1.0;
        double r15350 = b;
        double r15351 = r15350 * r15350;
        double r15352 = a;
        double r15353 = r15352 * r15352;
        double r15354 = r15351 - r15353;
        double r15355 = r15349 / r15354;
        double r15356 = r15348 * r15355;
        double r15357 = r15349 / r15352;
        double r15358 = r15349 / r15350;
        double r15359 = r15357 - r15358;
        double r15360 = r15356 * r15359;
        return r15360;
}


double f_of(float a, float b) {
        float r15361 = atan2(1.0, 0.0);
        float r15362 = 0.5f;
        float r15363 = r15361 * r15362;
        float r15364 = a;
        float r15365 = b;
        float r15366 = r15364 * r15365;
        float r15367 = r15363 / r15366;
        float r15368 = r15365 + r15364;
        float r15369 = r15367 / r15368;
        return r15369;
}

double f_od(double a, double b) {
        double r15370 = atan2(1.0, 0.0);
        double r15371 = 0.5;
        double r15372 = r15370 * r15371;
        double r15373 = a;
        double r15374 = b;
        double r15375 = r15373 * r15374;
        double r15376 = r15372 / r15375;
        double r15377 = r15374 + r15373;
        double r15378 = r15376 / r15377;
        return r15378;
}

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 r15379, r15380, r15381, r15382, r15383, r15384, r15385, r15386, r15387, r15388, r15389, r15390, r15391, r15392, r15393;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r15379);
        mpfr_init_set_str(r15380, "2", 10, MPFR_RNDN);
        mpfr_init(r15381);
        mpfr_init_set_str(r15382, "1", 10, MPFR_RNDN);
        mpfr_init(r15383);
        mpfr_init(r15384);
        mpfr_init(r15385);
        mpfr_init(r15386);
        mpfr_init(r15387);
        mpfr_init(r15388);
        mpfr_init(r15389);
        mpfr_init(r15390);
        mpfr_init(r15391);
        mpfr_init(r15392);
        mpfr_init(r15393);
}

double f_im(double a, double b) {
        mpfr_const_pi(r15379, MPFR_RNDN);
        ;
        mpfr_div(r15381, r15379, r15380, MPFR_RNDN);
        ;
        mpfr_set_d(r15383, b, MPFR_RNDN);
        mpfr_sqr(r15384, r15383, MPFR_RNDN);
        mpfr_set_d(r15385, a, MPFR_RNDN);
        mpfr_sqr(r15386, r15385, MPFR_RNDN);
        mpfr_sub(r15387, r15384, r15386, MPFR_RNDN);
        mpfr_div(r15388, r15382, r15387, MPFR_RNDN);
        mpfr_mul(r15389, r15381, r15388, MPFR_RNDN);
        mpfr_div(r15390, r15382, r15385, MPFR_RNDN);
        mpfr_div(r15391, r15382, r15383, MPFR_RNDN);
        mpfr_sub(r15392, r15390, r15391, MPFR_RNDN);
        mpfr_mul(r15393, r15389, r15392, MPFR_RNDN);
        return mpfr_get_d(r15393, MPFR_RNDN);
}

static mpfr_t r15394, r15395, r15396, r15397, r15398, r15399, r15400, r15401, r15402;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15394);
        mpfr_init_set_str(r15395, "1/2", 10, MPFR_RNDN);
        mpfr_init(r15396);
        mpfr_init(r15397);
        mpfr_init(r15398);
        mpfr_init(r15399);
        mpfr_init(r15400);
        mpfr_init(r15401);
        mpfr_init(r15402);
}

double f_fm(double a, double b) {
        mpfr_const_pi(r15394, MPFR_RNDN);
        ;
        mpfr_mul(r15396, r15394, r15395, MPFR_RNDN);
        mpfr_set_d(r15397, a, MPFR_RNDN);
        mpfr_set_d(r15398, b, MPFR_RNDN);
        mpfr_mul(r15399, r15397, r15398, MPFR_RNDN);
        mpfr_div(r15400, r15396, r15399, MPFR_RNDN);
        mpfr_add(r15401, r15398, r15397, MPFR_RNDN);
        mpfr_div(r15402, r15400, r15401, MPFR_RNDN);
        return mpfr_get_d(r15402, MPFR_RNDN);
}

static mpfr_t r15403, r15404, r15405, r15406, r15407, r15408, r15409, r15410, r15411;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15403);
        mpfr_init_set_str(r15404, "1/2", 10, MPFR_RNDN);
        mpfr_init(r15405);
        mpfr_init(r15406);
        mpfr_init(r15407);
        mpfr_init(r15408);
        mpfr_init(r15409);
        mpfr_init(r15410);
        mpfr_init(r15411);
}

double f_dm(double a, double b) {
        mpfr_const_pi(r15403, MPFR_RNDN);
        ;
        mpfr_mul(r15405, r15403, r15404, MPFR_RNDN);
        mpfr_set_d(r15406, a, MPFR_RNDN);
        mpfr_set_d(r15407, b, MPFR_RNDN);
        mpfr_mul(r15408, r15406, r15407, MPFR_RNDN);
        mpfr_div(r15409, r15405, r15408, MPFR_RNDN);
        mpfr_add(r15410, r15407, r15406, MPFR_RNDN);
        mpfr_div(r15411, r15409, r15410, MPFR_RNDN);
        return mpfr_get_d(r15411, MPFR_RNDN);
}