#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 r15415 = atan2(1.0, 0.0);
        float r15416 = 2.0f;
        float r15417 = r15415 / r15416;
        float r15418 = 1.0f;
        float r15419 = b;
        float r15420 = r15419 * r15419;
        float r15421 = a;
        float r15422 = r15421 * r15421;
        float r15423 = r15420 - r15422;
        float r15424 = r15418 / r15423;
        float r15425 = r15417 * r15424;
        float r15426 = r15418 / r15421;
        float r15427 = r15418 / r15419;
        float r15428 = r15426 - r15427;
        float r15429 = r15425 * r15428;
        return r15429;
}

double f_id(double a, double b) {
        double r15430 = atan2(1.0, 0.0);
        double r15431 = 2.0;
        double r15432 = r15430 / r15431;
        double r15433 = 1.0;
        double r15434 = b;
        double r15435 = r15434 * r15434;
        double r15436 = a;
        double r15437 = r15436 * r15436;
        double r15438 = r15435 - r15437;
        double r15439 = r15433 / r15438;
        double r15440 = r15432 * r15439;
        double r15441 = r15433 / r15436;
        double r15442 = r15433 / r15434;
        double r15443 = r15441 - r15442;
        double r15444 = r15440 * r15443;
        return r15444;
}


double f_of(float a, float b) {
        float r15445 = atan2(1.0, 0.0);
        float r15446 = a;
        float r15447 = r15445 / r15446;
        float r15448 = b;
        float r15449 = 2.0f;
        float r15450 = r15448 * r15449;
        float r15451 = r15447 / r15450;
        float r15452 = r15446 + r15448;
        float r15453 = r15451 / r15452;
        return r15453;
}

double f_od(double a, double b) {
        double r15454 = atan2(1.0, 0.0);
        double r15455 = a;
        double r15456 = r15454 / r15455;
        double r15457 = b;
        double r15458 = 2.0;
        double r15459 = r15457 * r15458;
        double r15460 = r15456 / r15459;
        double r15461 = r15455 + r15457;
        double r15462 = r15460 / r15461;
        return r15462;
}

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 r15463, r15464, r15465, r15466, r15467, r15468, r15469, r15470, r15471, r15472, r15473, r15474, r15475, r15476, r15477;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r15463);
        mpfr_init_set_str(r15464, "2", 10, MPFR_RNDN);
        mpfr_init(r15465);
        mpfr_init_set_str(r15466, "1", 10, MPFR_RNDN);
        mpfr_init(r15467);
        mpfr_init(r15468);
        mpfr_init(r15469);
        mpfr_init(r15470);
        mpfr_init(r15471);
        mpfr_init(r15472);
        mpfr_init(r15473);
        mpfr_init(r15474);
        mpfr_init(r15475);
        mpfr_init(r15476);
        mpfr_init(r15477);
}

double f_im(double a, double b) {
        mpfr_const_pi(r15463, MPFR_RNDN);
        ;
        mpfr_div(r15465, r15463, r15464, MPFR_RNDN);
        ;
        mpfr_set_d(r15467, b, MPFR_RNDN);
        mpfr_sqr(r15468, r15467, MPFR_RNDN);
        mpfr_set_d(r15469, a, MPFR_RNDN);
        mpfr_sqr(r15470, r15469, MPFR_RNDN);
        mpfr_sub(r15471, r15468, r15470, MPFR_RNDN);
        mpfr_div(r15472, r15466, r15471, MPFR_RNDN);
        mpfr_mul(r15473, r15465, r15472, MPFR_RNDN);
        mpfr_div(r15474, r15466, r15469, MPFR_RNDN);
        mpfr_div(r15475, r15466, r15467, MPFR_RNDN);
        mpfr_sub(r15476, r15474, r15475, MPFR_RNDN);
        mpfr_mul(r15477, r15473, r15476, MPFR_RNDN);
        return mpfr_get_d(r15477, MPFR_RNDN);
}

static mpfr_t r15478, r15479, r15480, r15481, r15482, r15483, r15484, r15485, r15486;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15478);
        mpfr_init(r15479);
        mpfr_init(r15480);
        mpfr_init(r15481);
        mpfr_init_set_str(r15482, "2", 10, MPFR_RNDN);
        mpfr_init(r15483);
        mpfr_init(r15484);
        mpfr_init(r15485);
        mpfr_init(r15486);
}

double f_fm(double a, double b) {
        mpfr_const_pi(r15478, MPFR_RNDN);
        mpfr_set_d(r15479, a, MPFR_RNDN);
        mpfr_div(r15480, r15478, r15479, MPFR_RNDN);
        mpfr_set_d(r15481, b, MPFR_RNDN);
        ;
        mpfr_mul(r15483, r15481, r15482, MPFR_RNDN);
        mpfr_div(r15484, r15480, r15483, MPFR_RNDN);
        mpfr_add(r15485, r15479, r15481, MPFR_RNDN);
        mpfr_div(r15486, r15484, r15485, MPFR_RNDN);
        return mpfr_get_d(r15486, MPFR_RNDN);
}

static mpfr_t r15487, r15488, r15489, r15490, r15491, r15492, r15493, r15494, r15495;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15487);
        mpfr_init(r15488);
        mpfr_init(r15489);
        mpfr_init(r15490);
        mpfr_init_set_str(r15491, "2", 10, MPFR_RNDN);
        mpfr_init(r15492);
        mpfr_init(r15493);
        mpfr_init(r15494);
        mpfr_init(r15495);
}

double f_dm(double a, double b) {
        mpfr_const_pi(r15487, MPFR_RNDN);
        mpfr_set_d(r15488, a, MPFR_RNDN);
        mpfr_div(r15489, r15487, r15488, MPFR_RNDN);
        mpfr_set_d(r15490, b, MPFR_RNDN);
        ;
        mpfr_mul(r15492, r15490, r15491, MPFR_RNDN);
        mpfr_div(r15493, r15489, r15492, MPFR_RNDN);
        mpfr_add(r15494, r15488, r15490, MPFR_RNDN);
        mpfr_div(r15495, r15493, r15494, MPFR_RNDN);
        return mpfr_get_d(r15495, MPFR_RNDN);
}