#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 r15347 = atan2(1.0, 0.0);
        float r15348 = 2.0f;
        float r15349 = r15347 / r15348;
        float r15350 = 1.0f;
        float r15351 = b;
        float r15352 = r15351 * r15351;
        float r15353 = a;
        float r15354 = r15353 * r15353;
        float r15355 = r15352 - r15354;
        float r15356 = r15350 / r15355;
        float r15357 = r15349 * r15356;
        float r15358 = r15350 / r15353;
        float r15359 = r15350 / r15351;
        float r15360 = r15358 - r15359;
        float r15361 = r15357 * r15360;
        return r15361;
}

double f_id(double a, double b) {
        double r15362 = atan2(1.0, 0.0);
        double r15363 = 2.0;
        double r15364 = r15362 / r15363;
        double r15365 = 1.0;
        double r15366 = b;
        double r15367 = r15366 * r15366;
        double r15368 = a;
        double r15369 = r15368 * r15368;
        double r15370 = r15367 - r15369;
        double r15371 = r15365 / r15370;
        double r15372 = r15364 * r15371;
        double r15373 = r15365 / r15368;
        double r15374 = r15365 / r15366;
        double r15375 = r15373 - r15374;
        double r15376 = r15372 * r15375;
        return r15376;
}


double f_of(float a, float b) {
        float r15377 = atan2(1.0, 0.0);
        float r15378 = a;
        float r15379 = b;
        float r15380 = r15378 + r15379;
        float r15381 = r15377 / r15380;
        float r15382 = 1.0f;
        float r15383 = 2.0f;
        float r15384 = r15378 * r15379;
        float r15385 = r15383 * r15384;
        float r15386 = r15382 / r15385;
        float r15387 = r15381 * r15386;
        return r15387;
}

double f_od(double a, double b) {
        double r15388 = atan2(1.0, 0.0);
        double r15389 = a;
        double r15390 = b;
        double r15391 = r15389 + r15390;
        double r15392 = r15388 / r15391;
        double r15393 = 1.0;
        double r15394 = 2.0;
        double r15395 = r15389 * r15390;
        double r15396 = r15394 * r15395;
        double r15397 = r15393 / r15396;
        double r15398 = r15392 * r15397;
        return r15398;
}

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 r15399, r15400, r15401, r15402, r15403, r15404, r15405, r15406, r15407, r15408, r15409, r15410, r15411, r15412, r15413;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r15399);
        mpfr_init_set_str(r15400, "2", 10, MPFR_RNDN);
        mpfr_init(r15401);
        mpfr_init_set_str(r15402, "1", 10, MPFR_RNDN);
        mpfr_init(r15403);
        mpfr_init(r15404);
        mpfr_init(r15405);
        mpfr_init(r15406);
        mpfr_init(r15407);
        mpfr_init(r15408);
        mpfr_init(r15409);
        mpfr_init(r15410);
        mpfr_init(r15411);
        mpfr_init(r15412);
        mpfr_init(r15413);
}

double f_im(double a, double b) {
        mpfr_const_pi(r15399, MPFR_RNDN);
        ;
        mpfr_div(r15401, r15399, r15400, MPFR_RNDN);
        ;
        mpfr_set_d(r15403, b, MPFR_RNDN);
        mpfr_sqr(r15404, r15403, MPFR_RNDN);
        mpfr_set_d(r15405, a, MPFR_RNDN);
        mpfr_sqr(r15406, r15405, MPFR_RNDN);
        mpfr_sub(r15407, r15404, r15406, MPFR_RNDN);
        mpfr_div(r15408, r15402, r15407, MPFR_RNDN);
        mpfr_mul(r15409, r15401, r15408, MPFR_RNDN);
        mpfr_div(r15410, r15402, r15405, MPFR_RNDN);
        mpfr_div(r15411, r15402, r15403, MPFR_RNDN);
        mpfr_sub(r15412, r15410, r15411, MPFR_RNDN);
        mpfr_mul(r15413, r15409, r15412, MPFR_RNDN);
        return mpfr_get_d(r15413, MPFR_RNDN);
}

static mpfr_t r15414, r15415, r15416, r15417, r15418, r15419, r15420, r15421, r15422, r15423, r15424;

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

double f_fm(double a, double b) {
        mpfr_const_pi(r15414, MPFR_RNDN);
        mpfr_set_d(r15415, a, MPFR_RNDN);
        mpfr_set_d(r15416, b, MPFR_RNDN);
        mpfr_add(r15417, r15415, r15416, MPFR_RNDN);
        mpfr_div(r15418, r15414, r15417, MPFR_RNDN);
        ;
        ;
        mpfr_mul(r15421, r15415, r15416, MPFR_RNDN);
        mpfr_mul(r15422, r15420, r15421, MPFR_RNDN);
        mpfr_div(r15423, r15419, r15422, MPFR_RNDN);
        mpfr_mul(r15424, r15418, r15423, MPFR_RNDN);
        return mpfr_get_d(r15424, MPFR_RNDN);
}

static mpfr_t r15425, r15426, r15427, r15428, r15429, r15430, r15431, r15432, r15433, r15434, r15435;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15425);
        mpfr_init(r15426);
        mpfr_init(r15427);
        mpfr_init(r15428);
        mpfr_init(r15429);
        mpfr_init_set_str(r15430, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r15431, "2", 10, MPFR_RNDN);
        mpfr_init(r15432);
        mpfr_init(r15433);
        mpfr_init(r15434);
        mpfr_init(r15435);
}

double f_dm(double a, double b) {
        mpfr_const_pi(r15425, MPFR_RNDN);
        mpfr_set_d(r15426, a, MPFR_RNDN);
        mpfr_set_d(r15427, b, MPFR_RNDN);
        mpfr_add(r15428, r15426, r15427, MPFR_RNDN);
        mpfr_div(r15429, r15425, r15428, MPFR_RNDN);
        ;
        ;
        mpfr_mul(r15432, r15426, r15427, MPFR_RNDN);
        mpfr_mul(r15433, r15431, r15432, MPFR_RNDN);
        mpfr_div(r15434, r15430, r15433, MPFR_RNDN);
        mpfr_mul(r15435, r15429, r15434, MPFR_RNDN);
        return mpfr_get_d(r15435, MPFR_RNDN);
}