#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 r15399 = atan2(1.0, 0.0);
        float r15400 = 2.0f;
        float r15401 = r15399 / r15400;
        float r15402 = 1.0f;
        float r15403 = b;
        float r15404 = r15403 * r15403;
        float r15405 = a;
        float r15406 = r15405 * r15405;
        float r15407 = r15404 - r15406;
        float r15408 = r15402 / r15407;
        float r15409 = r15401 * r15408;
        float r15410 = r15402 / r15405;
        float r15411 = r15402 / r15403;
        float r15412 = r15410 - r15411;
        float r15413 = r15409 * r15412;
        return r15413;
}

double f_id(double a, double b) {
        double r15414 = atan2(1.0, 0.0);
        double r15415 = 2.0;
        double r15416 = r15414 / r15415;
        double r15417 = 1.0;
        double r15418 = b;
        double r15419 = r15418 * r15418;
        double r15420 = a;
        double r15421 = r15420 * r15420;
        double r15422 = r15419 - r15421;
        double r15423 = r15417 / r15422;
        double r15424 = r15416 * r15423;
        double r15425 = r15417 / r15420;
        double r15426 = r15417 / r15418;
        double r15427 = r15425 - r15426;
        double r15428 = r15424 * r15427;
        return r15428;
}


double f_of(float a, float b) {
        float r15429 = 1.0f;
        float r15430 = a;
        float r15431 = b;
        float r15432 = r15430 + r15431;
        float r15433 = atan2(1.0, 0.0);
        float r15434 = r15432 / r15433;
        float r15435 = r15429 / r15434;
        float r15436 = 2.0f;
        float r15437 = r15430 * r15431;
        float r15438 = r15436 * r15437;
        float r15439 = r15435 / r15438;
        return r15439;
}

double f_od(double a, double b) {
        double r15440 = 1.0;
        double r15441 = a;
        double r15442 = b;
        double r15443 = r15441 + r15442;
        double r15444 = atan2(1.0, 0.0);
        double r15445 = r15443 / r15444;
        double r15446 = r15440 / r15445;
        double r15447 = 2.0;
        double r15448 = r15441 * r15442;
        double r15449 = r15447 * r15448;
        double r15450 = r15446 / r15449;
        return r15450;
}

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 r15451, r15452, r15453, r15454, r15455, r15456, r15457, r15458, r15459, r15460, r15461, r15462, r15463, r15464, r15465;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r15451);
        mpfr_init_set_str(r15452, "2", 10, MPFR_RNDN);
        mpfr_init(r15453);
        mpfr_init_set_str(r15454, "1", 10, MPFR_RNDN);
        mpfr_init(r15455);
        mpfr_init(r15456);
        mpfr_init(r15457);
        mpfr_init(r15458);
        mpfr_init(r15459);
        mpfr_init(r15460);
        mpfr_init(r15461);
        mpfr_init(r15462);
        mpfr_init(r15463);
        mpfr_init(r15464);
        mpfr_init(r15465);
}

double f_im(double a, double b) {
        mpfr_const_pi(r15451, MPFR_RNDN);
        ;
        mpfr_div(r15453, r15451, r15452, MPFR_RNDN);
        ;
        mpfr_set_d(r15455, b, MPFR_RNDN);
        mpfr_sqr(r15456, r15455, MPFR_RNDN);
        mpfr_set_d(r15457, a, MPFR_RNDN);
        mpfr_sqr(r15458, r15457, MPFR_RNDN);
        mpfr_sub(r15459, r15456, r15458, MPFR_RNDN);
        mpfr_div(r15460, r15454, r15459, MPFR_RNDN);
        mpfr_mul(r15461, r15453, r15460, MPFR_RNDN);
        mpfr_div(r15462, r15454, r15457, MPFR_RNDN);
        mpfr_div(r15463, r15454, r15455, MPFR_RNDN);
        mpfr_sub(r15464, r15462, r15463, MPFR_RNDN);
        mpfr_mul(r15465, r15461, r15464, MPFR_RNDN);
        return mpfr_get_d(r15465, MPFR_RNDN);
}

static mpfr_t r15466, r15467, r15468, r15469, r15470, r15471, r15472, r15473, r15474, r15475, r15476;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15466, "1", 10, MPFR_RNDN);
        mpfr_init(r15467);
        mpfr_init(r15468);
        mpfr_init(r15469);
        mpfr_init(r15470);
        mpfr_init(r15471);
        mpfr_init(r15472);
        mpfr_init_set_str(r15473, "2", 10, MPFR_RNDN);
        mpfr_init(r15474);
        mpfr_init(r15475);
        mpfr_init(r15476);
}

double f_fm(double a, double b) {
        ;
        mpfr_set_d(r15467, a, MPFR_RNDN);
        mpfr_set_d(r15468, b, MPFR_RNDN);
        mpfr_add(r15469, r15467, r15468, MPFR_RNDN);
        mpfr_const_pi(r15470, MPFR_RNDN);
        mpfr_div(r15471, r15469, r15470, MPFR_RNDN);
        mpfr_div(r15472, r15466, r15471, MPFR_RNDN);
        ;
        mpfr_mul(r15474, r15467, r15468, MPFR_RNDN);
        mpfr_mul(r15475, r15473, r15474, MPFR_RNDN);
        mpfr_div(r15476, r15472, r15475, MPFR_RNDN);
        return mpfr_get_d(r15476, MPFR_RNDN);
}

static mpfr_t r15477, r15478, r15479, r15480, r15481, r15482, r15483, r15484, r15485, r15486, r15487;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15477, "1", 10, MPFR_RNDN);
        mpfr_init(r15478);
        mpfr_init(r15479);
        mpfr_init(r15480);
        mpfr_init(r15481);
        mpfr_init(r15482);
        mpfr_init(r15483);
        mpfr_init_set_str(r15484, "2", 10, MPFR_RNDN);
        mpfr_init(r15485);
        mpfr_init(r15486);
        mpfr_init(r15487);
}

double f_dm(double a, double b) {
        ;
        mpfr_set_d(r15478, a, MPFR_RNDN);
        mpfr_set_d(r15479, b, MPFR_RNDN);
        mpfr_add(r15480, r15478, r15479, MPFR_RNDN);
        mpfr_const_pi(r15481, MPFR_RNDN);
        mpfr_div(r15482, r15480, r15481, MPFR_RNDN);
        mpfr_div(r15483, r15477, r15482, MPFR_RNDN);
        ;
        mpfr_mul(r15485, r15478, r15479, MPFR_RNDN);
        mpfr_mul(r15486, r15484, r15485, MPFR_RNDN);
        mpfr_div(r15487, r15483, r15486, MPFR_RNDN);
        return mpfr_get_d(r15487, MPFR_RNDN);
}