#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 r15391 = atan2(1.0, 0.0);
        float r15392 = 2.0f;
        float r15393 = r15391 / r15392;
        float r15394 = 1.0f;
        float r15395 = b;
        float r15396 = r15395 * r15395;
        float r15397 = a;
        float r15398 = r15397 * r15397;
        float r15399 = r15396 - r15398;
        float r15400 = r15394 / r15399;
        float r15401 = r15393 * r15400;
        float r15402 = r15394 / r15397;
        float r15403 = r15394 / r15395;
        float r15404 = r15402 - r15403;
        float r15405 = r15401 * r15404;
        return r15405;
}

double f_id(double a, double b) {
        double r15406 = atan2(1.0, 0.0);
        double r15407 = 2.0;
        double r15408 = r15406 / r15407;
        double r15409 = 1.0;
        double r15410 = b;
        double r15411 = r15410 * r15410;
        double r15412 = a;
        double r15413 = r15412 * r15412;
        double r15414 = r15411 - r15413;
        double r15415 = r15409 / r15414;
        double r15416 = r15408 * r15415;
        double r15417 = r15409 / r15412;
        double r15418 = r15409 / r15410;
        double r15419 = r15417 - r15418;
        double r15420 = r15416 * r15419;
        return r15420;
}


double f_of(float a, float b) {
        float r15421 = atan2(1.0, 0.0);
        float r15422 = a;
        float r15423 = b;
        float r15424 = r15422 + r15423;
        float r15425 = r15421 / r15424;
        float r15426 = 1.0f;
        float r15427 = 2.0f;
        float r15428 = r15422 * r15423;
        float r15429 = r15427 * r15428;
        float r15430 = r15426 / r15429;
        float r15431 = r15425 * r15430;
        return r15431;
}

double f_od(double a, double b) {
        double r15432 = atan2(1.0, 0.0);
        double r15433 = a;
        double r15434 = b;
        double r15435 = r15433 + r15434;
        double r15436 = r15432 / r15435;
        double r15437 = 1.0;
        double r15438 = 2.0;
        double r15439 = r15433 * r15434;
        double r15440 = r15438 * r15439;
        double r15441 = r15437 / r15440;
        double r15442 = r15436 * r15441;
        return r15442;
}

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 r15443, r15444, r15445, r15446, r15447, r15448, r15449, r15450, r15451, r15452, r15453, r15454, r15455, r15456, r15457;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r15443);
        mpfr_init_set_str(r15444, "2", 10, MPFR_RNDN);
        mpfr_init(r15445);
        mpfr_init_set_str(r15446, "1", 10, MPFR_RNDN);
        mpfr_init(r15447);
        mpfr_init(r15448);
        mpfr_init(r15449);
        mpfr_init(r15450);
        mpfr_init(r15451);
        mpfr_init(r15452);
        mpfr_init(r15453);
        mpfr_init(r15454);
        mpfr_init(r15455);
        mpfr_init(r15456);
        mpfr_init(r15457);
}

double f_im(double a, double b) {
        mpfr_const_pi(r15443, MPFR_RNDN);
        ;
        mpfr_div(r15445, r15443, r15444, MPFR_RNDN);
        ;
        mpfr_set_d(r15447, b, MPFR_RNDN);
        mpfr_sqr(r15448, r15447, MPFR_RNDN);
        mpfr_set_d(r15449, a, MPFR_RNDN);
        mpfr_sqr(r15450, r15449, MPFR_RNDN);
        mpfr_sub(r15451, r15448, r15450, MPFR_RNDN);
        mpfr_div(r15452, r15446, r15451, MPFR_RNDN);
        mpfr_mul(r15453, r15445, r15452, MPFR_RNDN);
        mpfr_div(r15454, r15446, r15449, MPFR_RNDN);
        mpfr_div(r15455, r15446, r15447, MPFR_RNDN);
        mpfr_sub(r15456, r15454, r15455, MPFR_RNDN);
        mpfr_mul(r15457, r15453, r15456, MPFR_RNDN);
        return mpfr_get_d(r15457, MPFR_RNDN);
}

static mpfr_t r15458, r15459, r15460, r15461, r15462, r15463, r15464, r15465, r15466, r15467, r15468;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15458);
        mpfr_init(r15459);
        mpfr_init(r15460);
        mpfr_init(r15461);
        mpfr_init(r15462);
        mpfr_init_set_str(r15463, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r15464, "2", 10, MPFR_RNDN);
        mpfr_init(r15465);
        mpfr_init(r15466);
        mpfr_init(r15467);
        mpfr_init(r15468);
}

double f_fm(double a, double b) {
        mpfr_const_pi(r15458, MPFR_RNDN);
        mpfr_set_d(r15459, a, MPFR_RNDN);
        mpfr_set_d(r15460, b, MPFR_RNDN);
        mpfr_add(r15461, r15459, r15460, MPFR_RNDN);
        mpfr_div(r15462, r15458, r15461, MPFR_RNDN);
        ;
        ;
        mpfr_mul(r15465, r15459, r15460, MPFR_RNDN);
        mpfr_mul(r15466, r15464, r15465, MPFR_RNDN);
        mpfr_div(r15467, r15463, r15466, MPFR_RNDN);
        mpfr_mul(r15468, r15462, r15467, MPFR_RNDN);
        return mpfr_get_d(r15468, MPFR_RNDN);
}

static mpfr_t r15469, r15470, r15471, r15472, r15473, r15474, r15475, r15476, r15477, r15478, r15479;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15469);
        mpfr_init(r15470);
        mpfr_init(r15471);
        mpfr_init(r15472);
        mpfr_init(r15473);
        mpfr_init_set_str(r15474, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r15475, "2", 10, MPFR_RNDN);
        mpfr_init(r15476);
        mpfr_init(r15477);
        mpfr_init(r15478);
        mpfr_init(r15479);
}

double f_dm(double a, double b) {
        mpfr_const_pi(r15469, MPFR_RNDN);
        mpfr_set_d(r15470, a, MPFR_RNDN);
        mpfr_set_d(r15471, b, MPFR_RNDN);
        mpfr_add(r15472, r15470, r15471, MPFR_RNDN);
        mpfr_div(r15473, r15469, r15472, MPFR_RNDN);
        ;
        ;
        mpfr_mul(r15476, r15470, r15471, MPFR_RNDN);
        mpfr_mul(r15477, r15475, r15476, MPFR_RNDN);
        mpfr_div(r15478, r15474, r15477, MPFR_RNDN);
        mpfr_mul(r15479, r15473, r15478, MPFR_RNDN);
        return mpfr_get_d(r15479, MPFR_RNDN);
}