#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 r15640 = x;
        float r15641 = eps;
        float r15642 = r15640 + r15641;
        float r15643 = tan(r15642);
        float r15644 = tan(r15640);
        float r15645 = r15643 - r15644;
        return r15645;
}

double f_id(double x, double eps) {
        double r15646 = x;
        double r15647 = eps;
        double r15648 = r15646 + r15647;
        double r15649 = tan(r15648);
        double r15650 = tan(r15646);
        double r15651 = r15649 - r15650;
        return r15651;
}


double f_of(float x, float eps) {
        float r15652 = x;
        float r15653 = 1.0 / tan(r15652);
        float r15654 = eps;
        float r15655 = r15652 + r15654;
        float r15656 = sin(r15655);
        float r15657 = r15653 * r15656;
        float r15658 = cos(r15655);
        float r15659 = r15657 - r15658;
        float r15660 = r15658 * r15653;
        float r15661 = r15659 / r15660;
        return r15661;
}

double f_od(double x, double eps) {
        double r15662 = x;
        double r15663 = 1.0 / tan(r15662);
        double r15664 = eps;
        double r15665 = r15662 + r15664;
        double r15666 = sin(r15665);
        double r15667 = r15663 * r15666;
        double r15668 = cos(r15665);
        double r15669 = r15667 - r15668;
        double r15670 = r15668 * r15663;
        double r15671 = r15669 / r15670;
        return r15671;
}

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 r15672, r15673, r15674, r15675, r15676, r15677;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r15672);
        mpfr_init(r15673);
        mpfr_init(r15674);
        mpfr_init(r15675);
        mpfr_init(r15676);
        mpfr_init(r15677);
}

double f_im(double x, double eps) {
        mpfr_set_d(r15672, x, MPFR_RNDN);
        mpfr_set_d(r15673, eps, MPFR_RNDN);
        mpfr_add(r15674, r15672, r15673, MPFR_RNDN);
        mpfr_tan(r15675, r15674, MPFR_RNDN);
        mpfr_tan(r15676, r15672, MPFR_RNDN);
        mpfr_sub(r15677, r15675, r15676, MPFR_RNDN);
        return mpfr_get_d(r15677, MPFR_RNDN);
}

static mpfr_t r15678, r15679, r15680, r15681, r15682, r15683, r15684, r15685, r15686, r15687;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15678);
        mpfr_init(r15679);
        mpfr_init(r15680);
        mpfr_init(r15681);
        mpfr_init(r15682);
        mpfr_init(r15683);
        mpfr_init(r15684);
        mpfr_init(r15685);
        mpfr_init(r15686);
        mpfr_init(r15687);
}

double f_fm(double x, double eps) {
        mpfr_set_d(r15678, x, MPFR_RNDN);
        mpfr_cot(r15679, r15678, MPFR_RNDN);
        mpfr_set_d(r15680, eps, MPFR_RNDN);
        mpfr_add(r15681, r15678, r15680, MPFR_RNDN);
        mpfr_sin(r15682, r15681, MPFR_RNDN);
        mpfr_mul(r15683, r15679, r15682, MPFR_RNDN);
        mpfr_cos(r15684, r15681, MPFR_RNDN);
        mpfr_sub(r15685, r15683, r15684, MPFR_RNDN);
        mpfr_mul(r15686, r15684, r15679, MPFR_RNDN);
        mpfr_div(r15687, r15685, r15686, MPFR_RNDN);
        return mpfr_get_d(r15687, MPFR_RNDN);
}

static mpfr_t r15688, r15689, r15690, r15691, r15692, r15693, r15694, r15695, r15696, r15697;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15688);
        mpfr_init(r15689);
        mpfr_init(r15690);
        mpfr_init(r15691);
        mpfr_init(r15692);
        mpfr_init(r15693);
        mpfr_init(r15694);
        mpfr_init(r15695);
        mpfr_init(r15696);
        mpfr_init(r15697);
}

double f_dm(double x, double eps) {
        mpfr_set_d(r15688, x, MPFR_RNDN);
        mpfr_cot(r15689, r15688, MPFR_RNDN);
        mpfr_set_d(r15690, eps, MPFR_RNDN);
        mpfr_add(r15691, r15688, r15690, MPFR_RNDN);
        mpfr_sin(r15692, r15691, MPFR_RNDN);
        mpfr_mul(r15693, r15689, r15692, MPFR_RNDN);
        mpfr_cos(r15694, r15691, MPFR_RNDN);
        mpfr_sub(r15695, r15693, r15694, MPFR_RNDN);
        mpfr_mul(r15696, r15694, r15689, MPFR_RNDN);
        mpfr_div(r15697, r15695, r15696, MPFR_RNDN);
        return mpfr_get_d(r15697, MPFR_RNDN);
}