#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 r15700 = x;
        float r15701 = eps;
        float r15702 = r15700 + r15701;
        float r15703 = tan(r15702);
        float r15704 = tan(r15700);
        float r15705 = r15703 - r15704;
        return r15705;
}

double f_id(double x, double eps) {
        double r15706 = x;
        double r15707 = eps;
        double r15708 = r15706 + r15707;
        double r15709 = tan(r15708);
        double r15710 = tan(r15706);
        double r15711 = r15709 - r15710;
        return r15711;
}


double f_of(float x, float eps) {
        float r15712 = x;
        float r15713 = 1.0 / tan(r15712);
        float r15714 = eps;
        float r15715 = r15712 + r15714;
        float r15716 = 1.0 / tan(r15715);
        float r15717 = r15716 * r15713;
        float r15718 = r15713 / r15717;
        float r15719 = 1.0f;
        float r15720 = r15719 / r15713;
        float r15721 = r15718 - r15720;
        return r15721;
}

double f_od(double x, double eps) {
        double r15722 = x;
        double r15723 = 1.0 / tan(r15722);
        double r15724 = eps;
        double r15725 = r15722 + r15724;
        double r15726 = 1.0 / tan(r15725);
        double r15727 = r15726 * r15723;
        double r15728 = r15723 / r15727;
        double r15729 = 1.0;
        double r15730 = r15729 / r15723;
        double r15731 = r15728 - r15730;
        return r15731;
}

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 r15732, r15733, r15734, r15735, r15736, r15737;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r15732);
        mpfr_init(r15733);
        mpfr_init(r15734);
        mpfr_init(r15735);
        mpfr_init(r15736);
        mpfr_init(r15737);
}

double f_im(double x, double eps) {
        mpfr_set_d(r15732, x, MPFR_RNDN);
        mpfr_set_d(r15733, eps, MPFR_RNDN);
        mpfr_add(r15734, r15732, r15733, MPFR_RNDN);
        mpfr_tan(r15735, r15734, MPFR_RNDN);
        mpfr_tan(r15736, r15732, MPFR_RNDN);
        mpfr_sub(r15737, r15735, r15736, MPFR_RNDN);
        return mpfr_get_d(r15737, MPFR_RNDN);
}

static mpfr_t r15738, r15739, r15740, r15741, r15742, r15743, r15744, r15745, r15746, r15747;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15738);
        mpfr_init(r15739);
        mpfr_init(r15740);
        mpfr_init(r15741);
        mpfr_init(r15742);
        mpfr_init(r15743);
        mpfr_init(r15744);
        mpfr_init_set_str(r15745, "1", 10, MPFR_RNDN);
        mpfr_init(r15746);
        mpfr_init(r15747);
}

double f_fm(double x, double eps) {
        mpfr_set_d(r15738, x, MPFR_RNDN);
        mpfr_cot(r15739, r15738, MPFR_RNDN);
        mpfr_set_d(r15740, eps, MPFR_RNDN);
        mpfr_add(r15741, r15738, r15740, MPFR_RNDN);
        mpfr_cot(r15742, r15741, MPFR_RNDN);
        mpfr_mul(r15743, r15742, r15739, MPFR_RNDN);
        mpfr_div(r15744, r15739, r15743, MPFR_RNDN);
        ;
        mpfr_div(r15746, r15745, r15739, MPFR_RNDN);
        mpfr_sub(r15747, r15744, r15746, MPFR_RNDN);
        return mpfr_get_d(r15747, MPFR_RNDN);
}

static mpfr_t r15748, r15749, r15750, r15751, r15752, r15753, r15754, r15755, r15756, r15757;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15748);
        mpfr_init(r15749);
        mpfr_init(r15750);
        mpfr_init(r15751);
        mpfr_init(r15752);
        mpfr_init(r15753);
        mpfr_init(r15754);
        mpfr_init_set_str(r15755, "1", 10, MPFR_RNDN);
        mpfr_init(r15756);
        mpfr_init(r15757);
}

double f_dm(double x, double eps) {
        mpfr_set_d(r15748, x, MPFR_RNDN);
        mpfr_cot(r15749, r15748, MPFR_RNDN);
        mpfr_set_d(r15750, eps, MPFR_RNDN);
        mpfr_add(r15751, r15748, r15750, MPFR_RNDN);
        mpfr_cot(r15752, r15751, MPFR_RNDN);
        mpfr_mul(r15753, r15752, r15749, MPFR_RNDN);
        mpfr_div(r15754, r15749, r15753, MPFR_RNDN);
        ;
        mpfr_div(r15756, r15755, r15749, MPFR_RNDN);
        mpfr_sub(r15757, r15754, r15756, MPFR_RNDN);
        return mpfr_get_d(r15757, MPFR_RNDN);
}