#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 r15359 = atan2(1.0, 0.0);
        float r15360 = 2.0f;
        float r15361 = r15359 / r15360;
        float r15362 = 1.0f;
        float r15363 = b;
        float r15364 = r15363 * r15363;
        float r15365 = a;
        float r15366 = r15365 * r15365;
        float r15367 = r15364 - r15366;
        float r15368 = r15362 / r15367;
        float r15369 = r15361 * r15368;
        float r15370 = r15362 / r15365;
        float r15371 = r15362 / r15363;
        float r15372 = r15370 - r15371;
        float r15373 = r15369 * r15372;
        return r15373;
}

double f_id(double a, double b) {
        double r15374 = atan2(1.0, 0.0);
        double r15375 = 2.0;
        double r15376 = r15374 / r15375;
        double r15377 = 1.0;
        double r15378 = b;
        double r15379 = r15378 * r15378;
        double r15380 = a;
        double r15381 = r15380 * r15380;
        double r15382 = r15379 - r15381;
        double r15383 = r15377 / r15382;
        double r15384 = r15376 * r15383;
        double r15385 = r15377 / r15380;
        double r15386 = r15377 / r15378;
        double r15387 = r15385 - r15386;
        double r15388 = r15384 * r15387;
        return r15388;
}


double f_of(float a, float b) {
        float r15389 = 1.0f;
        float r15390 = a;
        float r15391 = b;
        float r15392 = r15390 + r15391;
        float r15393 = atan2(1.0, 0.0);
        float r15394 = r15392 / r15393;
        float r15395 = r15389 / r15394;
        float r15396 = 2.0f;
        float r15397 = r15390 * r15391;
        float r15398 = r15396 * r15397;
        float r15399 = r15395 / r15398;
        return r15399;
}

double f_od(double a, double b) {
        double r15400 = 1.0;
        double r15401 = a;
        double r15402 = b;
        double r15403 = r15401 + r15402;
        double r15404 = atan2(1.0, 0.0);
        double r15405 = r15403 / r15404;
        double r15406 = r15400 / r15405;
        double r15407 = 2.0;
        double r15408 = r15401 * r15402;
        double r15409 = r15407 * r15408;
        double r15410 = r15406 / r15409;
        return r15410;
}

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 r15411, r15412, r15413, r15414, r15415, r15416, r15417, r15418, r15419, r15420, r15421, r15422, r15423, r15424, r15425;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r15411);
        mpfr_init_set_str(r15412, "2", 10, MPFR_RNDN);
        mpfr_init(r15413);
        mpfr_init_set_str(r15414, "1", 10, MPFR_RNDN);
        mpfr_init(r15415);
        mpfr_init(r15416);
        mpfr_init(r15417);
        mpfr_init(r15418);
        mpfr_init(r15419);
        mpfr_init(r15420);
        mpfr_init(r15421);
        mpfr_init(r15422);
        mpfr_init(r15423);
        mpfr_init(r15424);
        mpfr_init(r15425);
}

double f_im(double a, double b) {
        mpfr_const_pi(r15411, MPFR_RNDN);
        ;
        mpfr_div(r15413, r15411, r15412, MPFR_RNDN);
        ;
        mpfr_set_d(r15415, b, MPFR_RNDN);
        mpfr_sqr(r15416, r15415, MPFR_RNDN);
        mpfr_set_d(r15417, a, MPFR_RNDN);
        mpfr_sqr(r15418, r15417, MPFR_RNDN);
        mpfr_sub(r15419, r15416, r15418, MPFR_RNDN);
        mpfr_div(r15420, r15414, r15419, MPFR_RNDN);
        mpfr_mul(r15421, r15413, r15420, MPFR_RNDN);
        mpfr_div(r15422, r15414, r15417, MPFR_RNDN);
        mpfr_div(r15423, r15414, r15415, MPFR_RNDN);
        mpfr_sub(r15424, r15422, r15423, MPFR_RNDN);
        mpfr_mul(r15425, r15421, r15424, MPFR_RNDN);
        return mpfr_get_d(r15425, MPFR_RNDN);
}

static mpfr_t r15426, r15427, r15428, r15429, r15430, r15431, r15432, r15433, r15434, r15435, r15436;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15426, "1", 10, MPFR_RNDN);
        mpfr_init(r15427);
        mpfr_init(r15428);
        mpfr_init(r15429);
        mpfr_init(r15430);
        mpfr_init(r15431);
        mpfr_init(r15432);
        mpfr_init_set_str(r15433, "2", 10, MPFR_RNDN);
        mpfr_init(r15434);
        mpfr_init(r15435);
        mpfr_init(r15436);
}

double f_fm(double a, double b) {
        ;
        mpfr_set_d(r15427, a, MPFR_RNDN);
        mpfr_set_d(r15428, b, MPFR_RNDN);
        mpfr_add(r15429, r15427, r15428, MPFR_RNDN);
        mpfr_const_pi(r15430, MPFR_RNDN);
        mpfr_div(r15431, r15429, r15430, MPFR_RNDN);
        mpfr_div(r15432, r15426, r15431, MPFR_RNDN);
        ;
        mpfr_mul(r15434, r15427, r15428, MPFR_RNDN);
        mpfr_mul(r15435, r15433, r15434, MPFR_RNDN);
        mpfr_div(r15436, r15432, r15435, MPFR_RNDN);
        return mpfr_get_d(r15436, MPFR_RNDN);
}

static mpfr_t r15437, r15438, r15439, r15440, r15441, r15442, r15443, r15444, r15445, r15446, r15447;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15437, "1", 10, MPFR_RNDN);
        mpfr_init(r15438);
        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_set_d(r15438, a, MPFR_RNDN);
        mpfr_set_d(r15439, b, MPFR_RNDN);
        mpfr_add(r15440, r15438, r15439, MPFR_RNDN);
        mpfr_const_pi(r15441, MPFR_RNDN);
        mpfr_div(r15442, r15440, r15441, MPFR_RNDN);
        mpfr_div(r15443, r15437, r15442, MPFR_RNDN);
        ;
        mpfr_mul(r15445, r15438, r15439, MPFR_RNDN);
        mpfr_mul(r15446, r15444, r15445, MPFR_RNDN);
        mpfr_div(r15447, r15443, r15446, MPFR_RNDN);
        return mpfr_get_d(r15447, MPFR_RNDN);
}

