#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 r15339 = atan2(1.0, 0.0);
        float r15340 = 2.0f;
        float r15341 = r15339 / r15340;
        float r15342 = 1.0f;
        float r15343 = b;
        float r15344 = r15343 * r15343;
        float r15345 = a;
        float r15346 = r15345 * r15345;
        float r15347 = r15344 - r15346;
        float r15348 = r15342 / r15347;
        float r15349 = r15341 * r15348;
        float r15350 = r15342 / r15345;
        float r15351 = r15342 / r15343;
        float r15352 = r15350 - r15351;
        float r15353 = r15349 * r15352;
        return r15353;
}

double f_id(double a, double b) {
        double r15354 = atan2(1.0, 0.0);
        double r15355 = 2.0;
        double r15356 = r15354 / r15355;
        double r15357 = 1.0;
        double r15358 = b;
        double r15359 = r15358 * r15358;
        double r15360 = a;
        double r15361 = r15360 * r15360;
        double r15362 = r15359 - r15361;
        double r15363 = r15357 / r15362;
        double r15364 = r15356 * r15363;
        double r15365 = r15357 / r15360;
        double r15366 = r15357 / r15358;
        double r15367 = r15365 - r15366;
        double r15368 = r15364 * r15367;
        return r15368;
}


double f_of(float a, float b) {
        float r15369 = atan2(1.0, 0.0);
        float r15370 = a;
        float r15371 = b;
        float r15372 = r15370 + r15371;
        float r15373 = r15369 / r15372;
        float r15374 = 1.0f;
        float r15375 = 2.0f;
        float r15376 = r15370 * r15371;
        float r15377 = r15375 * r15376;
        float r15378 = r15374 / r15377;
        float r15379 = r15373 * r15378;
        return r15379;
}

double f_od(double a, double b) {
        double r15380 = atan2(1.0, 0.0);
        double r15381 = a;
        double r15382 = b;
        double r15383 = r15381 + r15382;
        double r15384 = r15380 / r15383;
        double r15385 = 1.0;
        double r15386 = 2.0;
        double r15387 = r15381 * r15382;
        double r15388 = r15386 * r15387;
        double r15389 = r15385 / r15388;
        double r15390 = r15384 * r15389;
        return r15390;
}

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 r15391, r15392, r15393, r15394, r15395, r15396, r15397, r15398, r15399, r15400, r15401, r15402, r15403, r15404, r15405;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r15391);
        mpfr_init_set_str(r15392, "2", 10, MPFR_RNDN);
        mpfr_init(r15393);
        mpfr_init_set_str(r15394, "1", 10, MPFR_RNDN);
        mpfr_init(r15395);
        mpfr_init(r15396);
        mpfr_init(r15397);
        mpfr_init(r15398);
        mpfr_init(r15399);
        mpfr_init(r15400);
        mpfr_init(r15401);
        mpfr_init(r15402);
        mpfr_init(r15403);
        mpfr_init(r15404);
        mpfr_init(r15405);
}

double f_im(double a, double b) {
        mpfr_const_pi(r15391, MPFR_RNDN);
        ;
        mpfr_div(r15393, r15391, r15392, MPFR_RNDN);
        ;
        mpfr_set_d(r15395, b, MPFR_RNDN);
        mpfr_sqr(r15396, r15395, MPFR_RNDN);
        mpfr_set_d(r15397, a, MPFR_RNDN);
        mpfr_sqr(r15398, r15397, MPFR_RNDN);
        mpfr_sub(r15399, r15396, r15398, MPFR_RNDN);
        mpfr_div(r15400, r15394, r15399, MPFR_RNDN);
        mpfr_mul(r15401, r15393, r15400, MPFR_RNDN);
        mpfr_div(r15402, r15394, r15397, MPFR_RNDN);
        mpfr_div(r15403, r15394, r15395, MPFR_RNDN);
        mpfr_sub(r15404, r15402, r15403, MPFR_RNDN);
        mpfr_mul(r15405, r15401, r15404, MPFR_RNDN);
        return mpfr_get_d(r15405, MPFR_RNDN);
}

static mpfr_t r15406, r15407, r15408, r15409, r15410, r15411, r15412, r15413, r15414, r15415, r15416;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15406);
        mpfr_init(r15407);
        mpfr_init(r15408);
        mpfr_init(r15409);
        mpfr_init(r15410);
        mpfr_init_set_str(r15411, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r15412, "2", 10, MPFR_RNDN);
        mpfr_init(r15413);
        mpfr_init(r15414);
        mpfr_init(r15415);
        mpfr_init(r15416);
}

double f_fm(double a, double b) {
        mpfr_const_pi(r15406, MPFR_RNDN);
        mpfr_set_d(r15407, a, MPFR_RNDN);
        mpfr_set_d(r15408, b, MPFR_RNDN);
        mpfr_add(r15409, r15407, r15408, MPFR_RNDN);
        mpfr_div(r15410, r15406, r15409, MPFR_RNDN);
        ;
        ;
        mpfr_mul(r15413, r15407, r15408, MPFR_RNDN);
        mpfr_mul(r15414, r15412, r15413, MPFR_RNDN);
        mpfr_div(r15415, r15411, r15414, MPFR_RNDN);
        mpfr_mul(r15416, r15410, r15415, MPFR_RNDN);
        return mpfr_get_d(r15416, MPFR_RNDN);
}

static mpfr_t r15417, r15418, r15419, r15420, r15421, r15422, r15423, r15424, r15425, r15426, r15427;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15417);
        mpfr_init(r15418);
        mpfr_init(r15419);
        mpfr_init(r15420);
        mpfr_init(r15421);
        mpfr_init_set_str(r15422, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r15423, "2", 10, MPFR_RNDN);
        mpfr_init(r15424);
        mpfr_init(r15425);
        mpfr_init(r15426);
        mpfr_init(r15427);
}

double f_dm(double a, double b) {
        mpfr_const_pi(r15417, MPFR_RNDN);
        mpfr_set_d(r15418, a, MPFR_RNDN);
        mpfr_set_d(r15419, b, MPFR_RNDN);
        mpfr_add(r15420, r15418, r15419, MPFR_RNDN);
        mpfr_div(r15421, r15417, r15420, MPFR_RNDN);
        ;
        ;
        mpfr_mul(r15424, r15418, r15419, MPFR_RNDN);
        mpfr_mul(r15425, r15423, r15424, MPFR_RNDN);
        mpfr_div(r15426, r15422, r15425, MPFR_RNDN);
        mpfr_mul(r15427, r15421, r15426, MPFR_RNDN);
        return mpfr_get_d(r15427, MPFR_RNDN);
}

