#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 r15367 = atan2(1.0, 0.0);
        float r15368 = 2.0f;
        float r15369 = r15367 / r15368;
        float r15370 = 1.0f;
        float r15371 = b;
        float r15372 = r15371 * r15371;
        float r15373 = a;
        float r15374 = r15373 * r15373;
        float r15375 = r15372 - r15374;
        float r15376 = r15370 / r15375;
        float r15377 = r15369 * r15376;
        float r15378 = r15370 / r15373;
        float r15379 = r15370 / r15371;
        float r15380 = r15378 - r15379;
        float r15381 = r15377 * r15380;
        return r15381;
}

double f_id(double a, double b) {
        double r15382 = atan2(1.0, 0.0);
        double r15383 = 2.0;
        double r15384 = r15382 / r15383;
        double r15385 = 1.0;
        double r15386 = b;
        double r15387 = r15386 * r15386;
        double r15388 = a;
        double r15389 = r15388 * r15388;
        double r15390 = r15387 - r15389;
        double r15391 = r15385 / r15390;
        double r15392 = r15384 * r15391;
        double r15393 = r15385 / r15388;
        double r15394 = r15385 / r15386;
        double r15395 = r15393 - r15394;
        double r15396 = r15392 * r15395;
        return r15396;
}


double f_of(float a, float b) {
        float r15397 = atan2(1.0, 0.0);
        float r15398 = a;
        float r15399 = b;
        float r15400 = r15398 + r15399;
        float r15401 = r15397 / r15400;
        float r15402 = 2.0f;
        float r15403 = r15398 * r15399;
        float r15404 = r15402 * r15403;
        float r15405 = r15401 / r15404;
        return r15405;
}

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

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

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

static mpfr_t r15439, r15440, r15441, r15442, r15443, r15444, r15445, r15446, r15447;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15439);
        mpfr_init(r15440);
        mpfr_init(r15441);
        mpfr_init(r15442);
        mpfr_init(r15443);
        mpfr_init_set_str(r15444, "2", 10, MPFR_RNDN);
        mpfr_init(r15445);
        mpfr_init(r15446);
        mpfr_init(r15447);
}

double f_dm(double a, double b) {
        mpfr_const_pi(r15439, MPFR_RNDN);
        mpfr_set_d(r15440, a, MPFR_RNDN);
        mpfr_set_d(r15441, b, MPFR_RNDN);
        mpfr_add(r15442, r15440, r15441, MPFR_RNDN);
        mpfr_div(r15443, r15439, r15442, MPFR_RNDN);
        ;
        mpfr_mul(r15445, r15440, r15441, MPFR_RNDN);
        mpfr_mul(r15446, r15444, r15445, MPFR_RNDN);
        mpfr_div(r15447, r15443, r15446, MPFR_RNDN);
        return mpfr_get_d(r15447, MPFR_RNDN);
}