#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 r15375 = atan2(1.0, 0.0);
        float r15376 = 2.0f;
        float r15377 = r15375 / r15376;
        float r15378 = 1.0f;
        float r15379 = b;
        float r15380 = r15379 * r15379;
        float r15381 = a;
        float r15382 = r15381 * r15381;
        float r15383 = r15380 - r15382;
        float r15384 = r15378 / r15383;
        float r15385 = r15377 * r15384;
        float r15386 = r15378 / r15381;
        float r15387 = r15378 / r15379;
        float r15388 = r15386 - r15387;
        float r15389 = r15385 * r15388;
        return r15389;
}

double f_id(double a, double b) {
        double r15390 = atan2(1.0, 0.0);
        double r15391 = 2.0;
        double r15392 = r15390 / r15391;
        double r15393 = 1.0;
        double r15394 = b;
        double r15395 = r15394 * r15394;
        double r15396 = a;
        double r15397 = r15396 * r15396;
        double r15398 = r15395 - r15397;
        double r15399 = r15393 / r15398;
        double r15400 = r15392 * r15399;
        double r15401 = r15393 / r15396;
        double r15402 = r15393 / r15394;
        double r15403 = r15401 - r15402;
        double r15404 = r15400 * r15403;
        return r15404;
}


double f_of(float a, float b) {
        float r15405 = atan2(1.0, 0.0);
        float r15406 = a;
        float r15407 = b;
        float r15408 = r15406 + r15407;
        float r15409 = r15405 / r15408;
        float r15410 = 1.0f;
        float r15411 = 2.0f;
        float r15412 = r15406 * r15407;
        float r15413 = r15411 * r15412;
        float r15414 = r15410 / r15413;
        float r15415 = r15409 * r15414;
        return r15415;
}

double f_od(double a, double b) {
        double r15416 = atan2(1.0, 0.0);
        double r15417 = a;
        double r15418 = b;
        double r15419 = r15417 + r15418;
        double r15420 = r15416 / r15419;
        double r15421 = 1.0;
        double r15422 = 2.0;
        double r15423 = r15417 * r15418;
        double r15424 = r15422 * r15423;
        double r15425 = r15421 / r15424;
        double r15426 = r15420 * r15425;
        return r15426;
}

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 r15427, r15428, r15429, r15430, r15431, r15432, r15433, r15434, r15435, r15436, r15437, r15438, r15439, r15440, r15441;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r15427);
        mpfr_init_set_str(r15428, "2", 10, MPFR_RNDN);
        mpfr_init(r15429);
        mpfr_init_set_str(r15430, "1", 10, MPFR_RNDN);
        mpfr_init(r15431);
        mpfr_init(r15432);
        mpfr_init(r15433);
        mpfr_init(r15434);
        mpfr_init(r15435);
        mpfr_init(r15436);
        mpfr_init(r15437);
        mpfr_init(r15438);
        mpfr_init(r15439);
        mpfr_init(r15440);
        mpfr_init(r15441);
}

double f_im(double a, double b) {
        mpfr_const_pi(r15427, MPFR_RNDN);
        ;
        mpfr_div(r15429, r15427, r15428, MPFR_RNDN);
        ;
        mpfr_set_d(r15431, b, MPFR_RNDN);
        mpfr_sqr(r15432, r15431, MPFR_RNDN);
        mpfr_set_d(r15433, a, MPFR_RNDN);
        mpfr_sqr(r15434, r15433, MPFR_RNDN);
        mpfr_sub(r15435, r15432, r15434, MPFR_RNDN);
        mpfr_div(r15436, r15430, r15435, MPFR_RNDN);
        mpfr_mul(r15437, r15429, r15436, MPFR_RNDN);
        mpfr_div(r15438, r15430, r15433, MPFR_RNDN);
        mpfr_div(r15439, r15430, r15431, MPFR_RNDN);
        mpfr_sub(r15440, r15438, r15439, MPFR_RNDN);
        mpfr_mul(r15441, r15437, r15440, MPFR_RNDN);
        return mpfr_get_d(r15441, MPFR_RNDN);
}

static mpfr_t r15442, r15443, r15444, r15445, r15446, r15447, r15448, r15449, r15450, r15451, r15452;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15442);
        mpfr_init(r15443);
        mpfr_init(r15444);
        mpfr_init(r15445);
        mpfr_init(r15446);
        mpfr_init_set_str(r15447, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r15448, "2", 10, MPFR_RNDN);
        mpfr_init(r15449);
        mpfr_init(r15450);
        mpfr_init(r15451);
        mpfr_init(r15452);
}

double f_fm(double a, double b) {
        mpfr_const_pi(r15442, MPFR_RNDN);
        mpfr_set_d(r15443, a, MPFR_RNDN);
        mpfr_set_d(r15444, b, MPFR_RNDN);
        mpfr_add(r15445, r15443, r15444, MPFR_RNDN);
        mpfr_div(r15446, r15442, r15445, MPFR_RNDN);
        ;
        ;
        mpfr_mul(r15449, r15443, r15444, MPFR_RNDN);
        mpfr_mul(r15450, r15448, r15449, MPFR_RNDN);
        mpfr_div(r15451, r15447, r15450, MPFR_RNDN);
        mpfr_mul(r15452, r15446, r15451, MPFR_RNDN);
        return mpfr_get_d(r15452, MPFR_RNDN);
}

static mpfr_t r15453, r15454, r15455, r15456, r15457, r15458, r15459, r15460, r15461, r15462, r15463;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15453);
        mpfr_init(r15454);
        mpfr_init(r15455);
        mpfr_init(r15456);
        mpfr_init(r15457);
        mpfr_init_set_str(r15458, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r15459, "2", 10, MPFR_RNDN);
        mpfr_init(r15460);
        mpfr_init(r15461);
        mpfr_init(r15462);
        mpfr_init(r15463);
}

double f_dm(double a, double b) {
        mpfr_const_pi(r15453, MPFR_RNDN);
        mpfr_set_d(r15454, a, MPFR_RNDN);
        mpfr_set_d(r15455, b, MPFR_RNDN);
        mpfr_add(r15456, r15454, r15455, MPFR_RNDN);
        mpfr_div(r15457, r15453, r15456, MPFR_RNDN);
        ;
        ;
        mpfr_mul(r15460, r15454, r15455, MPFR_RNDN);
        mpfr_mul(r15461, r15459, r15460, MPFR_RNDN);
        mpfr_div(r15462, r15458, r15461, MPFR_RNDN);
        mpfr_mul(r15463, r15457, r15462, MPFR_RNDN);
        return mpfr_get_d(r15463, MPFR_RNDN);
}