#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "NMSE problem 3.3.2";

double f_if(float x, float eps) {
        float r16396 = x;
        float r16397 = eps;
        float r16398 = r16396 + r16397;
        float r16399 = tan(r16398);
        float r16400 = tan(r16396);
        float r16401 = r16399 - r16400;
        return r16401;
}

double f_id(double x, double eps) {
        double r16402 = x;
        double r16403 = eps;
        double r16404 = r16402 + r16403;
        double r16405 = tan(r16404);
        double r16406 = tan(r16402);
        double r16407 = r16405 - r16406;
        return r16407;
}


double f_of(float x, float eps) {
        float r16408 = eps;
        float r16409 = -6.974478371048821e-14f;
        bool r16410 = r16408 <= r16409;
        float r16411 = x;
        float r16412 = 1.0 / tan(r16411);
        float r16413 = sin(r16411);
        float r16414 = cos(r16408);
        float r16415 = r16413 * r16414;
        float r16416 = cos(r16411);
        float r16417 = sin(r16408);
        float r16418 = r16416 * r16417;
        float r16419 = r16415 + r16418;
        float r16420 = r16412 * r16419;
        float r16421 = r16411 + r16408;
        float r16422 = cos(r16421);
        float r16423 = r16420 - r16422;
        float r16424 = r16422 * r16412;
        float r16425 = r16423 / r16424;
        float r16426 = 2.3610750006627307e-19f;
        bool r16427 = r16408 <= r16426;
        float r16428 = r16411 * r16411;
        float r16429 = r16408 * (r16408 * r16408);
        float r16430 = fma(r16428, r16429, r16408);
        float r16431 = r16427 ? r16430 : r16425;
        float r16432 = r16410 ? r16425 : r16431;
        return r16432;
}

double f_od(double x, double eps) {
        double r16433 = eps;
        double r16434 = -6.974478371048821e-14;
        bool r16435 = r16433 <= r16434;
        double r16436 = x;
        double r16437 = 1.0 / tan(r16436);
        double r16438 = sin(r16436);
        double r16439 = cos(r16433);
        double r16440 = r16438 * r16439;
        double r16441 = cos(r16436);
        double r16442 = sin(r16433);
        double r16443 = r16441 * r16442;
        double r16444 = r16440 + r16443;
        double r16445 = r16437 * r16444;
        double r16446 = r16436 + r16433;
        double r16447 = cos(r16446);
        double r16448 = r16445 - r16447;
        double r16449 = r16447 * r16437;
        double r16450 = r16448 / r16449;
        double r16451 = 2.3610750006627307e-19;
        bool r16452 = r16433 <= r16451;
        double r16453 = r16436 * r16436;
        double r16454 = r16433 * (r16433 * r16433);
        double r16455 = fma(r16453, r16454, r16433);
        double r16456 = r16452 ? r16455 : r16450;
        double r16457 = r16435 ? r16450 : r16456;
        return r16457;
}

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 r16458, r16459, r16460, r16461, r16462, r16463;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16458);
        mpfr_init(r16459);
        mpfr_init(r16460);
        mpfr_init(r16461);
        mpfr_init(r16462);
        mpfr_init(r16463);
}

double f_im(double x, double eps) {
        mpfr_set_d(r16458, x, MPFR_RNDN);
        mpfr_set_d(r16459, eps, MPFR_RNDN);
        mpfr_add(r16460, r16458, r16459, MPFR_RNDN);
        mpfr_tan(r16461, r16460, MPFR_RNDN);
        mpfr_tan(r16462, r16458, MPFR_RNDN);
        mpfr_sub(r16463, r16461, r16462, MPFR_RNDN);
        return mpfr_get_d(r16463, MPFR_RNDN);
}

static mpfr_t r16464, r16465, r16466, r16467, r16468, r16469, r16470, r16471, r16472, r16473, r16474, r16475, r16476, r16477, r16478, r16479, r16480, r16481, r16482, r16483, r16484, r16485, r16486, r16487, r16488;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16464);
        mpfr_init_set_str(r16465, "-6.974478371048821e-14", 10, MPFR_RNDN);
        mpfr_init(r16466);
        mpfr_init(r16467);
        mpfr_init(r16468);
        mpfr_init(r16469);
        mpfr_init(r16470);
        mpfr_init(r16471);
        mpfr_init(r16472);
        mpfr_init(r16473);
        mpfr_init(r16474);
        mpfr_init(r16475);
        mpfr_init(r16476);
        mpfr_init(r16477);
        mpfr_init(r16478);
        mpfr_init(r16479);
        mpfr_init(r16480);
        mpfr_init(r16481);
        mpfr_init_set_str(r16482, "2.3610750006627307e-19", 10, MPFR_RNDN);
        mpfr_init(r16483);
        mpfr_init(r16484);
        mpfr_init(r16485);
        mpfr_init(r16486);
        mpfr_init(r16487);
        mpfr_init(r16488);
}

double f_fm(double x, double eps) {
        mpfr_set_d(r16464, eps, MPFR_RNDN);
        ;
        mpfr_set_si(r16466, mpfr_cmp(r16464, r16465) <= 0, MPFR_RNDN);
        mpfr_set_d(r16467, x, MPFR_RNDN);
        mpfr_cot(r16468, r16467, MPFR_RNDN);
        mpfr_sin(r16469, r16467, MPFR_RNDN);
        mpfr_cos(r16470, r16464, MPFR_RNDN);
        mpfr_mul(r16471, r16469, r16470, MPFR_RNDN);
        mpfr_cos(r16472, r16467, MPFR_RNDN);
        mpfr_sin(r16473, r16464, MPFR_RNDN);
        mpfr_mul(r16474, r16472, r16473, MPFR_RNDN);
        mpfr_add(r16475, r16471, r16474, MPFR_RNDN);
        mpfr_mul(r16476, r16468, r16475, MPFR_RNDN);
        mpfr_add(r16477, r16467, r16464, MPFR_RNDN);
        mpfr_cos(r16478, r16477, MPFR_RNDN);
        mpfr_sub(r16479, r16476, r16478, MPFR_RNDN);
        mpfr_mul(r16480, r16478, r16468, MPFR_RNDN);
        mpfr_div(r16481, r16479, r16480, MPFR_RNDN);
        ;
        mpfr_set_si(r16483, mpfr_cmp(r16464, r16482) <= 0, MPFR_RNDN);
        mpfr_sqr(r16484, r16467, MPFR_RNDN);
        mpfr_mul(r16485, r16464, r16464, MPFR_RNDN); mpfr_mul(r16485, r16485, r16464, MPFR_RNDN);
        mpfr_fma(r16486, r16484, r16485, r16464, MPFR_RNDN);
        if (mpfr_get_si(r16483, MPFR_RNDN)) { mpfr_set(r16487, r16486, MPFR_RNDN); } else { mpfr_set(r16487, r16481, MPFR_RNDN); };
        if (mpfr_get_si(r16466, MPFR_RNDN)) { mpfr_set(r16488, r16481, MPFR_RNDN); } else { mpfr_set(r16488, r16487, MPFR_RNDN); };
        return mpfr_get_d(r16488, MPFR_RNDN);
}

static mpfr_t r16489, r16490, r16491, r16492, r16493, r16494, r16495, r16496, r16497, r16498, r16499, r16500, r16501, r16502, r16503, r16504, r16505, r16506, r16507, r16508, r16509, r16510, r16511, r16512, r16513;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16489);
        mpfr_init_set_str(r16490, "-6.974478371048821e-14", 10, MPFR_RNDN);
        mpfr_init(r16491);
        mpfr_init(r16492);
        mpfr_init(r16493);
        mpfr_init(r16494);
        mpfr_init(r16495);
        mpfr_init(r16496);
        mpfr_init(r16497);
        mpfr_init(r16498);
        mpfr_init(r16499);
        mpfr_init(r16500);
        mpfr_init(r16501);
        mpfr_init(r16502);
        mpfr_init(r16503);
        mpfr_init(r16504);
        mpfr_init(r16505);
        mpfr_init(r16506);
        mpfr_init_set_str(r16507, "2.3610750006627307e-19", 10, MPFR_RNDN);
        mpfr_init(r16508);
        mpfr_init(r16509);
        mpfr_init(r16510);
        mpfr_init(r16511);
        mpfr_init(r16512);
        mpfr_init(r16513);
}

double f_dm(double x, double eps) {
        mpfr_set_d(r16489, eps, MPFR_RNDN);
        ;
        mpfr_set_si(r16491, mpfr_cmp(r16489, r16490) <= 0, MPFR_RNDN);
        mpfr_set_d(r16492, x, MPFR_RNDN);
        mpfr_cot(r16493, r16492, MPFR_RNDN);
        mpfr_sin(r16494, r16492, MPFR_RNDN);
        mpfr_cos(r16495, r16489, MPFR_RNDN);
        mpfr_mul(r16496, r16494, r16495, MPFR_RNDN);
        mpfr_cos(r16497, r16492, MPFR_RNDN);
        mpfr_sin(r16498, r16489, MPFR_RNDN);
        mpfr_mul(r16499, r16497, r16498, MPFR_RNDN);
        mpfr_add(r16500, r16496, r16499, MPFR_RNDN);
        mpfr_mul(r16501, r16493, r16500, MPFR_RNDN);
        mpfr_add(r16502, r16492, r16489, MPFR_RNDN);
        mpfr_cos(r16503, r16502, MPFR_RNDN);
        mpfr_sub(r16504, r16501, r16503, MPFR_RNDN);
        mpfr_mul(r16505, r16503, r16493, MPFR_RNDN);
        mpfr_div(r16506, r16504, r16505, MPFR_RNDN);
        ;
        mpfr_set_si(r16508, mpfr_cmp(r16489, r16507) <= 0, MPFR_RNDN);
        mpfr_sqr(r16509, r16492, MPFR_RNDN);
        mpfr_mul(r16510, r16489, r16489, MPFR_RNDN); mpfr_mul(r16510, r16510, r16489, MPFR_RNDN);
        mpfr_fma(r16511, r16509, r16510, r16489, MPFR_RNDN);
        if (mpfr_get_si(r16508, MPFR_RNDN)) { mpfr_set(r16512, r16511, MPFR_RNDN); } else { mpfr_set(r16512, r16506, MPFR_RNDN); };
        if (mpfr_get_si(r16491, MPFR_RNDN)) { mpfr_set(r16513, r16506, MPFR_RNDN); } else { mpfr_set(r16513, r16512, MPFR_RNDN); };
        return mpfr_get_d(r16513, MPFR_RNDN);
}