#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 r15371 = atan2(1.0, 0.0);
        float r15372 = 2.0f;
        float r15373 = r15371 / r15372;
        float r15374 = 1.0f;
        float r15375 = b;
        float r15376 = r15375 * r15375;
        float r15377 = a;
        float r15378 = r15377 * r15377;
        float r15379 = r15376 - r15378;
        float r15380 = r15374 / r15379;
        float r15381 = r15373 * r15380;
        float r15382 = r15374 / r15377;
        float r15383 = r15374 / r15375;
        float r15384 = r15382 - r15383;
        float r15385 = r15381 * r15384;
        return r15385;
}

double f_id(double a, double b) {
        double r15386 = atan2(1.0, 0.0);
        double r15387 = 2.0;
        double r15388 = r15386 / r15387;
        double r15389 = 1.0;
        double r15390 = b;
        double r15391 = r15390 * r15390;
        double r15392 = a;
        double r15393 = r15392 * r15392;
        double r15394 = r15391 - r15393;
        double r15395 = r15389 / r15394;
        double r15396 = r15388 * r15395;
        double r15397 = r15389 / r15392;
        double r15398 = r15389 / r15390;
        double r15399 = r15397 - r15398;
        double r15400 = r15396 * r15399;
        return r15400;
}


double f_of(float a, float b) {
        float r15401 = atan2(1.0, 0.0);
        float r15402 = 1.0f;
        float r15403 = a;
        float r15404 = b;
        float r15405 = r15403 + r15404;
        float r15406 = r15402 / r15405;
        float r15407 = r15401 * r15406;
        float r15408 = 2.0f;
        float r15409 = r15403 * r15404;
        float r15410 = r15408 * r15409;
        float r15411 = r15407 / r15410;
        return r15411;
}

double f_od(double a, double b) {
        double r15412 = atan2(1.0, 0.0);
        double r15413 = 1.0;
        double r15414 = a;
        double r15415 = b;
        double r15416 = r15414 + r15415;
        double r15417 = r15413 / r15416;
        double r15418 = r15412 * r15417;
        double r15419 = 2.0;
        double r15420 = r15414 * r15415;
        double r15421 = r15419 * r15420;
        double r15422 = r15418 / r15421;
        return r15422;
}

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 r15423, r15424, r15425, r15426, r15427, r15428, r15429, r15430, r15431, r15432, r15433, r15434, r15435, r15436, r15437;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r15423);
        mpfr_init_set_str(r15424, "2", 10, MPFR_RNDN);
        mpfr_init(r15425);
        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(r15433);
        mpfr_init(r15434);
        mpfr_init(r15435);
        mpfr_init(r15436);
        mpfr_init(r15437);
}

double f_im(double a, double b) {
        mpfr_const_pi(r15423, MPFR_RNDN);
        ;
        mpfr_div(r15425, r15423, r15424, MPFR_RNDN);
        ;
        mpfr_set_d(r15427, b, MPFR_RNDN);
        mpfr_sqr(r15428, r15427, MPFR_RNDN);
        mpfr_set_d(r15429, a, MPFR_RNDN);
        mpfr_sqr(r15430, r15429, MPFR_RNDN);
        mpfr_sub(r15431, r15428, r15430, MPFR_RNDN);
        mpfr_div(r15432, r15426, r15431, MPFR_RNDN);
        mpfr_mul(r15433, r15425, r15432, MPFR_RNDN);
        mpfr_div(r15434, r15426, r15429, MPFR_RNDN);
        mpfr_div(r15435, r15426, r15427, MPFR_RNDN);
        mpfr_sub(r15436, r15434, r15435, MPFR_RNDN);
        mpfr_mul(r15437, r15433, r15436, MPFR_RNDN);
        return mpfr_get_d(r15437, MPFR_RNDN);
}

static mpfr_t r15438, r15439, r15440, r15441, r15442, r15443, r15444, r15445, r15446, r15447, r15448;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15438);
        mpfr_init_set_str(r15439, "1", 10, MPFR_RNDN);
        mpfr_init(r15440);
        mpfr_init(r15441);
        mpfr_init(r15442);
        mpfr_init(r15443);
        mpfr_init(r15444);
        mpfr_init_set_str(r15445, "2", 10, MPFR_RNDN);
        mpfr_init(r15446);
        mpfr_init(r15447);
        mpfr_init(r15448);
}

double f_fm(double a, double b) {
        mpfr_const_pi(r15438, 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(r15444, r15438, r15443, MPFR_RNDN);
        ;
        mpfr_mul(r15446, r15440, r15441, MPFR_RNDN);
        mpfr_mul(r15447, r15445, r15446, MPFR_RNDN);
        mpfr_div(r15448, r15444, r15447, MPFR_RNDN);
        return mpfr_get_d(r15448, MPFR_RNDN);
}

static mpfr_t r15449, r15450, r15451, r15452, r15453, r15454, r15455, r15456, r15457, r15458, r15459;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15449);
        mpfr_init_set_str(r15450, "1", 10, MPFR_RNDN);
        mpfr_init(r15451);
        mpfr_init(r15452);
        mpfr_init(r15453);
        mpfr_init(r15454);
        mpfr_init(r15455);
        mpfr_init_set_str(r15456, "2", 10, MPFR_RNDN);
        mpfr_init(r15457);
        mpfr_init(r15458);
        mpfr_init(r15459);
}

double f_dm(double a, double b) {
        mpfr_const_pi(r15449, MPFR_RNDN);
        ;
        mpfr_set_d(r15451, a, MPFR_RNDN);
        mpfr_set_d(r15452, b, MPFR_RNDN);
        mpfr_add(r15453, r15451, r15452, MPFR_RNDN);
        mpfr_div(r15454, r15450, r15453, MPFR_RNDN);
        mpfr_mul(r15455, r15449, r15454, MPFR_RNDN);
        ;
        mpfr_mul(r15457, r15451, r15452, MPFR_RNDN);
        mpfr_mul(r15458, r15456, r15457, MPFR_RNDN);
        mpfr_div(r15459, r15455, r15458, MPFR_RNDN);
        return mpfr_get_d(r15459, MPFR_RNDN);
}