#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 r15676 = x;
        float r15677 = eps;
        float r15678 = r15676 + r15677;
        float r15679 = tan(r15678);
        float r15680 = tan(r15676);
        float r15681 = r15679 - r15680;
        return r15681;
}

double f_id(double x, double eps) {
        double r15682 = x;
        double r15683 = eps;
        double r15684 = r15682 + r15683;
        double r15685 = tan(r15684);
        double r15686 = tan(r15682);
        double r15687 = r15685 - r15686;
        return r15687;
}


double f_of(float x, float eps) {
        float r15688 = x;
        float r15689 = 1.0 / tan(r15688);
        float r15690 = eps;
        float r15691 = r15688 + r15690;
        float r15692 = sin(r15691);
        float r15693 = r15689 * r15692;
        float r15694 = cos(r15691);
        float r15695 = r15693 - r15694;
        float r15696 = r15694 * r15689;
        float r15697 = r15695 / r15696;
        return r15697;
}

double f_od(double x, double eps) {
        double r15698 = x;
        double r15699 = 1.0 / tan(r15698);
        double r15700 = eps;
        double r15701 = r15698 + r15700;
        double r15702 = sin(r15701);
        double r15703 = r15699 * r15702;
        double r15704 = cos(r15701);
        double r15705 = r15703 - r15704;
        double r15706 = r15704 * r15699;
        double r15707 = r15705 / r15706;
        return r15707;
}

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 r15708, r15709, r15710, r15711, r15712, r15713;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r15708);
        mpfr_init(r15709);
        mpfr_init(r15710);
        mpfr_init(r15711);
        mpfr_init(r15712);
        mpfr_init(r15713);
}

double f_im(double x, double eps) {
        mpfr_set_d(r15708, x, MPFR_RNDN);
        mpfr_set_d(r15709, eps, MPFR_RNDN);
        mpfr_add(r15710, r15708, r15709, MPFR_RNDN);
        mpfr_tan(r15711, r15710, MPFR_RNDN);
        mpfr_tan(r15712, r15708, MPFR_RNDN);
        mpfr_sub(r15713, r15711, r15712, MPFR_RNDN);
        return mpfr_get_d(r15713, MPFR_RNDN);
}

static mpfr_t r15714, r15715, r15716, r15717, r15718, r15719, r15720, r15721, r15722, r15723;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15714);
        mpfr_init(r15715);
        mpfr_init(r15716);
        mpfr_init(r15717);
        mpfr_init(r15718);
        mpfr_init(r15719);
        mpfr_init(r15720);
        mpfr_init(r15721);
        mpfr_init(r15722);
        mpfr_init(r15723);
}

double f_fm(double x, double eps) {
        mpfr_set_d(r15714, x, MPFR_RNDN);
        mpfr_cot(r15715, r15714, MPFR_RNDN);
        mpfr_set_d(r15716, eps, MPFR_RNDN);
        mpfr_add(r15717, r15714, r15716, MPFR_RNDN);
        mpfr_sin(r15718, r15717, MPFR_RNDN);
        mpfr_mul(r15719, r15715, r15718, MPFR_RNDN);
        mpfr_cos(r15720, r15717, MPFR_RNDN);
        mpfr_sub(r15721, r15719, r15720, MPFR_RNDN);
        mpfr_mul(r15722, r15720, r15715, MPFR_RNDN);
        mpfr_div(r15723, r15721, r15722, MPFR_RNDN);
        return mpfr_get_d(r15723, MPFR_RNDN);
}

static mpfr_t r15724, r15725, r15726, r15727, r15728, r15729, r15730, r15731, r15732, r15733;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15724);
        mpfr_init(r15725);
        mpfr_init(r15726);
        mpfr_init(r15727);
        mpfr_init(r15728);
        mpfr_init(r15729);
        mpfr_init(r15730);
        mpfr_init(r15731);
        mpfr_init(r15732);
        mpfr_init(r15733);
}

double f_dm(double x, double eps) {
        mpfr_set_d(r15724, x, MPFR_RNDN);
        mpfr_cot(r15725, r15724, MPFR_RNDN);
        mpfr_set_d(r15726, eps, MPFR_RNDN);
        mpfr_add(r15727, r15724, r15726, MPFR_RNDN);
        mpfr_sin(r15728, r15727, MPFR_RNDN);
        mpfr_mul(r15729, r15725, r15728, MPFR_RNDN);
        mpfr_cos(r15730, r15727, MPFR_RNDN);
        mpfr_sub(r15731, r15729, r15730, MPFR_RNDN);
        mpfr_mul(r15732, r15730, r15725, MPFR_RNDN);
        mpfr_div(r15733, r15731, r15732, MPFR_RNDN);
        return mpfr_get_d(r15733, MPFR_RNDN);
}