#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 r15355 = atan2(1.0, 0.0);
        float r15356 = 2.0f;
        float r15357 = r15355 / r15356;
        float r15358 = 1.0f;
        float r15359 = b;
        float r15360 = r15359 * r15359;
        float r15361 = a;
        float r15362 = r15361 * r15361;
        float r15363 = r15360 - r15362;
        float r15364 = r15358 / r15363;
        float r15365 = r15357 * r15364;
        float r15366 = r15358 / r15361;
        float r15367 = r15358 / r15359;
        float r15368 = r15366 - r15367;
        float r15369 = r15365 * r15368;
        return r15369;
}

double f_id(double a, double b) {
        double r15370 = atan2(1.0, 0.0);
        double r15371 = 2.0;
        double r15372 = r15370 / r15371;
        double r15373 = 1.0;
        double r15374 = b;
        double r15375 = r15374 * r15374;
        double r15376 = a;
        double r15377 = r15376 * r15376;
        double r15378 = r15375 - r15377;
        double r15379 = r15373 / r15378;
        double r15380 = r15372 * r15379;
        double r15381 = r15373 / r15376;
        double r15382 = r15373 / r15374;
        double r15383 = r15381 - r15382;
        double r15384 = r15380 * r15383;
        return r15384;
}


double f_of(float a, float b) {
        float r15385 = atan2(1.0, 0.0);
        float r15386 = 1.0f;
        float r15387 = a;
        float r15388 = b;
        float r15389 = r15387 + r15388;
        float r15390 = r15386 / r15389;
        float r15391 = r15385 * r15390;
        float r15392 = 2.0f;
        float r15393 = r15387 * r15388;
        float r15394 = r15392 * r15393;
        float r15395 = r15391 / r15394;
        return r15395;
}

double f_od(double a, double b) {
        double r15396 = atan2(1.0, 0.0);
        double r15397 = 1.0;
        double r15398 = a;
        double r15399 = b;
        double r15400 = r15398 + r15399;
        double r15401 = r15397 / r15400;
        double r15402 = r15396 * r15401;
        double r15403 = 2.0;
        double r15404 = r15398 * r15399;
        double r15405 = r15403 * r15404;
        double r15406 = r15402 / r15405;
        return r15406;
}

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 r15407, r15408, r15409, r15410, r15411, r15412, r15413, r15414, r15415, r15416, r15417, r15418, r15419, r15420, r15421;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r15407);
        mpfr_init_set_str(r15408, "2", 10, MPFR_RNDN);
        mpfr_init(r15409);
        mpfr_init_set_str(r15410, "1", 10, MPFR_RNDN);
        mpfr_init(r15411);
        mpfr_init(r15412);
        mpfr_init(r15413);
        mpfr_init(r15414);
        mpfr_init(r15415);
        mpfr_init(r15416);
        mpfr_init(r15417);
        mpfr_init(r15418);
        mpfr_init(r15419);
        mpfr_init(r15420);
        mpfr_init(r15421);
}

double f_im(double a, double b) {
        mpfr_const_pi(r15407, MPFR_RNDN);
        ;
        mpfr_div(r15409, r15407, r15408, MPFR_RNDN);
        ;
        mpfr_set_d(r15411, b, MPFR_RNDN);
        mpfr_sqr(r15412, r15411, MPFR_RNDN);
        mpfr_set_d(r15413, a, MPFR_RNDN);
        mpfr_sqr(r15414, r15413, MPFR_RNDN);
        mpfr_sub(r15415, r15412, r15414, MPFR_RNDN);
        mpfr_div(r15416, r15410, r15415, MPFR_RNDN);
        mpfr_mul(r15417, r15409, r15416, MPFR_RNDN);
        mpfr_div(r15418, r15410, r15413, MPFR_RNDN);
        mpfr_div(r15419, r15410, r15411, MPFR_RNDN);
        mpfr_sub(r15420, r15418, r15419, MPFR_RNDN);
        mpfr_mul(r15421, r15417, r15420, MPFR_RNDN);
        return mpfr_get_d(r15421, MPFR_RNDN);
}

static mpfr_t r15422, r15423, r15424, r15425, r15426, r15427, r15428, r15429, r15430, r15431, r15432;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15422);
        mpfr_init_set_str(r15423, "1", 10, MPFR_RNDN);
        mpfr_init(r15424);
        mpfr_init(r15425);
        mpfr_init(r15426);
        mpfr_init(r15427);
        mpfr_init(r15428);
        mpfr_init_set_str(r15429, "2", 10, MPFR_RNDN);
        mpfr_init(r15430);
        mpfr_init(r15431);
        mpfr_init(r15432);
}

double f_fm(double a, double b) {
        mpfr_const_pi(r15422, MPFR_RNDN);
        ;
        mpfr_set_d(r15424, a, MPFR_RNDN);
        mpfr_set_d(r15425, b, MPFR_RNDN);
        mpfr_add(r15426, r15424, r15425, MPFR_RNDN);
        mpfr_div(r15427, r15423, r15426, MPFR_RNDN);
        mpfr_mul(r15428, r15422, r15427, MPFR_RNDN);
        ;
        mpfr_mul(r15430, r15424, r15425, MPFR_RNDN);
        mpfr_mul(r15431, r15429, r15430, MPFR_RNDN);
        mpfr_div(r15432, r15428, r15431, MPFR_RNDN);
        return mpfr_get_d(r15432, MPFR_RNDN);
}

static mpfr_t r15433, r15434, r15435, r15436, r15437, r15438, r15439, r15440, r15441, r15442, r15443;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15433);
        mpfr_init_set_str(r15434, "1", 10, MPFR_RNDN);
        mpfr_init(r15435);
        mpfr_init(r15436);
        mpfr_init(r15437);
        mpfr_init(r15438);
        mpfr_init(r15439);
        mpfr_init_set_str(r15440, "2", 10, MPFR_RNDN);
        mpfr_init(r15441);
        mpfr_init(r15442);
        mpfr_init(r15443);
}

double f_dm(double a, double b) {
        mpfr_const_pi(r15433, MPFR_RNDN);
        ;
        mpfr_set_d(r15435, a, MPFR_RNDN);
        mpfr_set_d(r15436, b, MPFR_RNDN);
        mpfr_add(r15437, r15435, r15436, MPFR_RNDN);
        mpfr_div(r15438, r15434, r15437, MPFR_RNDN);
        mpfr_mul(r15439, r15433, r15438, MPFR_RNDN);
        ;
        mpfr_mul(r15441, r15435, r15436, MPFR_RNDN);
        mpfr_mul(r15442, r15440, r15441, MPFR_RNDN);
        mpfr_div(r15443, r15439, r15442, MPFR_RNDN);
        return mpfr_get_d(r15443, MPFR_RNDN);
}