#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 r15363 = atan2(1.0, 0.0);
        float r15364 = 2.0f;
        float r15365 = r15363 / r15364;
        float r15366 = 1.0f;
        float r15367 = b;
        float r15368 = r15367 * r15367;
        float r15369 = a;
        float r15370 = r15369 * r15369;
        float r15371 = r15368 - r15370;
        float r15372 = r15366 / r15371;
        float r15373 = r15365 * r15372;
        float r15374 = r15366 / r15369;
        float r15375 = r15366 / r15367;
        float r15376 = r15374 - r15375;
        float r15377 = r15373 * r15376;
        return r15377;
}

double f_id(double a, double b) {
        double r15378 = atan2(1.0, 0.0);
        double r15379 = 2.0;
        double r15380 = r15378 / r15379;
        double r15381 = 1.0;
        double r15382 = b;
        double r15383 = r15382 * r15382;
        double r15384 = a;
        double r15385 = r15384 * r15384;
        double r15386 = r15383 - r15385;
        double r15387 = r15381 / r15386;
        double r15388 = r15380 * r15387;
        double r15389 = r15381 / r15384;
        double r15390 = r15381 / r15382;
        double r15391 = r15389 - r15390;
        double r15392 = r15388 * r15391;
        return r15392;
}


double f_of(float a, float b) {
        float r15393 = atan2(1.0, 0.0);
        float r15394 = 1.0f;
        float r15395 = a;
        float r15396 = b;
        float r15397 = r15395 + r15396;
        float r15398 = r15394 / r15397;
        float r15399 = r15393 * r15398;
        float r15400 = 2.0f;
        float r15401 = r15395 * r15396;
        float r15402 = r15400 * r15401;
        float r15403 = r15399 / r15402;
        return r15403;
}

double f_od(double a, double b) {
        double r15404 = atan2(1.0, 0.0);
        double r15405 = 1.0;
        double r15406 = a;
        double r15407 = b;
        double r15408 = r15406 + r15407;
        double r15409 = r15405 / r15408;
        double r15410 = r15404 * r15409;
        double r15411 = 2.0;
        double r15412 = r15406 * r15407;
        double r15413 = r15411 * r15412;
        double r15414 = r15410 / r15413;
        return r15414;
}

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 r15415, r15416, r15417, r15418, r15419, r15420, r15421, r15422, r15423, r15424, r15425, r15426, r15427, r15428, r15429;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r15415);
        mpfr_init_set_str(r15416, "2", 10, MPFR_RNDN);
        mpfr_init(r15417);
        mpfr_init_set_str(r15418, "1", 10, MPFR_RNDN);
        mpfr_init(r15419);
        mpfr_init(r15420);
        mpfr_init(r15421);
        mpfr_init(r15422);
        mpfr_init(r15423);
        mpfr_init(r15424);
        mpfr_init(r15425);
        mpfr_init(r15426);
        mpfr_init(r15427);
        mpfr_init(r15428);
        mpfr_init(r15429);
}

double f_im(double a, double b) {
        mpfr_const_pi(r15415, MPFR_RNDN);
        ;
        mpfr_div(r15417, r15415, r15416, MPFR_RNDN);
        ;
        mpfr_set_d(r15419, b, MPFR_RNDN);
        mpfr_sqr(r15420, r15419, MPFR_RNDN);
        mpfr_set_d(r15421, a, MPFR_RNDN);
        mpfr_sqr(r15422, r15421, MPFR_RNDN);
        mpfr_sub(r15423, r15420, r15422, MPFR_RNDN);
        mpfr_div(r15424, r15418, r15423, MPFR_RNDN);
        mpfr_mul(r15425, r15417, r15424, MPFR_RNDN);
        mpfr_div(r15426, r15418, r15421, MPFR_RNDN);
        mpfr_div(r15427, r15418, r15419, MPFR_RNDN);
        mpfr_sub(r15428, r15426, r15427, MPFR_RNDN);
        mpfr_mul(r15429, r15425, r15428, MPFR_RNDN);
        return mpfr_get_d(r15429, MPFR_RNDN);
}

static mpfr_t r15430, r15431, r15432, r15433, r15434, r15435, r15436, r15437, r15438, r15439, r15440;

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

double f_fm(double a, double b) {
        mpfr_const_pi(r15430, MPFR_RNDN);
        ;
        mpfr_set_d(r15432, a, MPFR_RNDN);
        mpfr_set_d(r15433, b, MPFR_RNDN);
        mpfr_add(r15434, r15432, r15433, MPFR_RNDN);
        mpfr_div(r15435, r15431, r15434, MPFR_RNDN);
        mpfr_mul(r15436, r15430, r15435, MPFR_RNDN);
        ;
        mpfr_mul(r15438, r15432, r15433, MPFR_RNDN);
        mpfr_mul(r15439, r15437, r15438, MPFR_RNDN);
        mpfr_div(r15440, r15436, r15439, MPFR_RNDN);
        return mpfr_get_d(r15440, MPFR_RNDN);
}

static mpfr_t r15441, r15442, r15443, r15444, r15445, r15446, r15447, r15448, r15449, r15450, r15451;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15441);
        mpfr_init_set_str(r15442, "1", 10, MPFR_RNDN);
        mpfr_init(r15443);
        mpfr_init(r15444);
        mpfr_init(r15445);
        mpfr_init(r15446);
        mpfr_init(r15447);
        mpfr_init_set_str(r15448, "2", 10, MPFR_RNDN);
        mpfr_init(r15449);
        mpfr_init(r15450);
        mpfr_init(r15451);
}

double f_dm(double a, double b) {
        mpfr_const_pi(r15441, 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(r15447, r15441, r15446, MPFR_RNDN);
        ;
        mpfr_mul(r15449, r15443, r15444, MPFR_RNDN);
        mpfr_mul(r15450, r15448, r15449, MPFR_RNDN);
        mpfr_div(r15451, r15447, r15450, MPFR_RNDN);
        return mpfr_get_d(r15451, MPFR_RNDN);
}