#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 r15716 = x;
        float r15717 = eps;
        float r15718 = r15716 + r15717;
        float r15719 = tan(r15718);
        float r15720 = tan(r15716);
        float r15721 = r15719 - r15720;
        return r15721;
}

double f_id(double x, double eps) {
        double r15722 = x;
        double r15723 = eps;
        double r15724 = r15722 + r15723;
        double r15725 = tan(r15724);
        double r15726 = tan(r15722);
        double r15727 = r15725 - r15726;
        return r15727;
}


double f_of(float x, float eps) {
        float r15728 = x;
        float r15729 = 1.0 / tan(r15728);
        float r15730 = eps;
        float r15731 = r15728 + r15730;
        float r15732 = sin(r15731);
        float r15733 = r15729 * r15732;
        float r15734 = cos(r15731);
        float r15735 = r15733 - r15734;
        float r15736 = r15734 * r15729;
        float r15737 = r15735 / r15736;
        return r15737;
}

double f_od(double x, double eps) {
        double r15738 = x;
        double r15739 = 1.0 / tan(r15738);
        double r15740 = eps;
        double r15741 = r15738 + r15740;
        double r15742 = sin(r15741);
        double r15743 = r15739 * r15742;
        double r15744 = cos(r15741);
        double r15745 = r15743 - r15744;
        double r15746 = r15744 * r15739;
        double r15747 = r15745 / r15746;
        return r15747;
}

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 r15748, r15749, r15750, r15751, r15752, r15753;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r15748);
        mpfr_init(r15749);
        mpfr_init(r15750);
        mpfr_init(r15751);
        mpfr_init(r15752);
        mpfr_init(r15753);
}

double f_im(double x, double eps) {
        mpfr_set_d(r15748, x, MPFR_RNDN);
        mpfr_set_d(r15749, eps, MPFR_RNDN);
        mpfr_add(r15750, r15748, r15749, MPFR_RNDN);
        mpfr_tan(r15751, r15750, MPFR_RNDN);
        mpfr_tan(r15752, r15748, MPFR_RNDN);
        mpfr_sub(r15753, r15751, r15752, MPFR_RNDN);
        return mpfr_get_d(r15753, MPFR_RNDN);
}

static mpfr_t r15754, r15755, r15756, r15757, r15758, r15759, r15760, r15761, r15762, r15763;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15754);
        mpfr_init(r15755);
        mpfr_init(r15756);
        mpfr_init(r15757);
        mpfr_init(r15758);
        mpfr_init(r15759);
        mpfr_init(r15760);
        mpfr_init(r15761);
        mpfr_init(r15762);
        mpfr_init(r15763);
}

double f_fm(double x, double eps) {
        mpfr_set_d(r15754, x, MPFR_RNDN);
        mpfr_cot(r15755, r15754, MPFR_RNDN);
        mpfr_set_d(r15756, eps, MPFR_RNDN);
        mpfr_add(r15757, r15754, r15756, MPFR_RNDN);
        mpfr_sin(r15758, r15757, MPFR_RNDN);
        mpfr_mul(r15759, r15755, r15758, MPFR_RNDN);
        mpfr_cos(r15760, r15757, MPFR_RNDN);
        mpfr_sub(r15761, r15759, r15760, MPFR_RNDN);
        mpfr_mul(r15762, r15760, r15755, MPFR_RNDN);
        mpfr_div(r15763, r15761, r15762, MPFR_RNDN);
        return mpfr_get_d(r15763, MPFR_RNDN);
}

static mpfr_t r15764, r15765, r15766, r15767, r15768, r15769, r15770, r15771, r15772, r15773;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15764);
        mpfr_init(r15765);
        mpfr_init(r15766);
        mpfr_init(r15767);
        mpfr_init(r15768);
        mpfr_init(r15769);
        mpfr_init(r15770);
        mpfr_init(r15771);
        mpfr_init(r15772);
        mpfr_init(r15773);
}

double f_dm(double x, double eps) {
        mpfr_set_d(r15764, x, MPFR_RNDN);
        mpfr_cot(r15765, r15764, MPFR_RNDN);
        mpfr_set_d(r15766, eps, MPFR_RNDN);
        mpfr_add(r15767, r15764, r15766, MPFR_RNDN);
        mpfr_sin(r15768, r15767, MPFR_RNDN);
        mpfr_mul(r15769, r15765, r15768, MPFR_RNDN);
        mpfr_cos(r15770, r15767, MPFR_RNDN);
        mpfr_sub(r15771, r15769, r15770, MPFR_RNDN);
        mpfr_mul(r15772, r15770, r15765, MPFR_RNDN);
        mpfr_div(r15773, r15771, r15772, MPFR_RNDN);
        return mpfr_get_d(r15773, MPFR_RNDN);
}