#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 r15343 = atan2(1.0, 0.0);
        float r15344 = 2.0f;
        float r15345 = r15343 / r15344;
        float r15346 = 1.0f;
        float r15347 = b;
        float r15348 = r15347 * r15347;
        float r15349 = a;
        float r15350 = r15349 * r15349;
        float r15351 = r15348 - r15350;
        float r15352 = r15346 / r15351;
        float r15353 = r15345 * r15352;
        float r15354 = r15346 / r15349;
        float r15355 = r15346 / r15347;
        float r15356 = r15354 - r15355;
        float r15357 = r15353 * r15356;
        return r15357;
}

double f_id(double a, double b) {
        double r15358 = atan2(1.0, 0.0);
        double r15359 = 2.0;
        double r15360 = r15358 / r15359;
        double r15361 = 1.0;
        double r15362 = b;
        double r15363 = r15362 * r15362;
        double r15364 = a;
        double r15365 = r15364 * r15364;
        double r15366 = r15363 - r15365;
        double r15367 = r15361 / r15366;
        double r15368 = r15360 * r15367;
        double r15369 = r15361 / r15364;
        double r15370 = r15361 / r15362;
        double r15371 = r15369 - r15370;
        double r15372 = r15368 * r15371;
        return r15372;
}


double f_of(float a, float b) {
        float r15373 = atan2(1.0, 0.0);
        float r15374 = a;
        float r15375 = b;
        float r15376 = r15374 + r15375;
        float r15377 = r15373 / r15376;
        float r15378 = 1.0f;
        float r15379 = 2.0f;
        float r15380 = r15374 * r15375;
        float r15381 = r15379 * r15380;
        float r15382 = r15378 / r15381;
        float r15383 = r15377 * r15382;
        return r15383;
}

double f_od(double a, double b) {
        double r15384 = atan2(1.0, 0.0);
        double r15385 = a;
        double r15386 = b;
        double r15387 = r15385 + r15386;
        double r15388 = r15384 / r15387;
        double r15389 = 1.0;
        double r15390 = 2.0;
        double r15391 = r15385 * r15386;
        double r15392 = r15390 * r15391;
        double r15393 = r15389 / r15392;
        double r15394 = r15388 * r15393;
        return r15394;
}

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 r15395, r15396, r15397, r15398, r15399, r15400, r15401, r15402, r15403, r15404, r15405, r15406, r15407, r15408, r15409;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r15395);
        mpfr_init_set_str(r15396, "2", 10, MPFR_RNDN);
        mpfr_init(r15397);
        mpfr_init_set_str(r15398, "1", 10, MPFR_RNDN);
        mpfr_init(r15399);
        mpfr_init(r15400);
        mpfr_init(r15401);
        mpfr_init(r15402);
        mpfr_init(r15403);
        mpfr_init(r15404);
        mpfr_init(r15405);
        mpfr_init(r15406);
        mpfr_init(r15407);
        mpfr_init(r15408);
        mpfr_init(r15409);
}

double f_im(double a, double b) {
        mpfr_const_pi(r15395, MPFR_RNDN);
        ;
        mpfr_div(r15397, r15395, r15396, MPFR_RNDN);
        ;
        mpfr_set_d(r15399, b, MPFR_RNDN);
        mpfr_sqr(r15400, r15399, MPFR_RNDN);
        mpfr_set_d(r15401, a, MPFR_RNDN);
        mpfr_sqr(r15402, r15401, MPFR_RNDN);
        mpfr_sub(r15403, r15400, r15402, MPFR_RNDN);
        mpfr_div(r15404, r15398, r15403, MPFR_RNDN);
        mpfr_mul(r15405, r15397, r15404, MPFR_RNDN);
        mpfr_div(r15406, r15398, r15401, MPFR_RNDN);
        mpfr_div(r15407, r15398, r15399, MPFR_RNDN);
        mpfr_sub(r15408, r15406, r15407, MPFR_RNDN);
        mpfr_mul(r15409, r15405, r15408, MPFR_RNDN);
        return mpfr_get_d(r15409, MPFR_RNDN);
}

static mpfr_t r15410, r15411, r15412, r15413, r15414, r15415, r15416, r15417, r15418, r15419, r15420;

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

double f_fm(double a, double b) {
        mpfr_const_pi(r15410, MPFR_RNDN);
        mpfr_set_d(r15411, a, MPFR_RNDN);
        mpfr_set_d(r15412, b, MPFR_RNDN);
        mpfr_add(r15413, r15411, r15412, MPFR_RNDN);
        mpfr_div(r15414, r15410, r15413, MPFR_RNDN);
        ;
        ;
        mpfr_mul(r15417, r15411, r15412, MPFR_RNDN);
        mpfr_mul(r15418, r15416, r15417, MPFR_RNDN);
        mpfr_div(r15419, r15415, r15418, MPFR_RNDN);
        mpfr_mul(r15420, r15414, r15419, MPFR_RNDN);
        return mpfr_get_d(r15420, MPFR_RNDN);
}

static mpfr_t r15421, r15422, r15423, r15424, r15425, r15426, r15427, r15428, r15429, r15430, r15431;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15421);
        mpfr_init(r15422);
        mpfr_init(r15423);
        mpfr_init(r15424);
        mpfr_init(r15425);
        mpfr_init_set_str(r15426, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r15427, "2", 10, MPFR_RNDN);
        mpfr_init(r15428);
        mpfr_init(r15429);
        mpfr_init(r15430);
        mpfr_init(r15431);
}

double f_dm(double a, double b) {
        mpfr_const_pi(r15421, MPFR_RNDN);
        mpfr_set_d(r15422, a, MPFR_RNDN);
        mpfr_set_d(r15423, b, MPFR_RNDN);
        mpfr_add(r15424, r15422, r15423, MPFR_RNDN);
        mpfr_div(r15425, r15421, r15424, MPFR_RNDN);
        ;
        ;
        mpfr_mul(r15428, r15422, r15423, MPFR_RNDN);
        mpfr_mul(r15429, r15427, r15428, MPFR_RNDN);
        mpfr_div(r15430, r15426, r15429, MPFR_RNDN);
        mpfr_mul(r15431, r15425, r15430, MPFR_RNDN);
        return mpfr_get_d(r15431, MPFR_RNDN);
}