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

char *name = "2tan (problem 3.3.2)";

double f_if(float x, float eps) {
        float r24379 = x;
        float r24380 = eps;
        float r24381 = r24379 + r24380;
        float r24382 = tan(r24381);
        float r24383 = tan(r24379);
        float r24384 = r24382 - r24383;
        return r24384;
}

double f_id(double x, double eps) {
        double r24385 = x;
        double r24386 = eps;
        double r24387 = r24385 + r24386;
        double r24388 = tan(r24387);
        double r24389 = tan(r24385);
        double r24390 = r24388 - r24389;
        return r24390;
}


double f_of(float x, float eps) {
        float r24391 = x;
        float r24392 = tan(r24391);
        float r24393 = eps;
        float r24394 = tan(r24393);
        float r24395 = r24392 + r24394;
        float r24396 = cos(r24391);
        float r24397 = r24395 * r24396;
        float r24398 = 1;
        float r24399 = r24392 * r24394;
        float r24400 = r24398 - r24399;
        float r24401 = sin(r24391);
        float r24402 = r24400 * r24401;
        float r24403 = r24397 - r24402;
        float r24404 = r24400 * r24396;
        float r24405 = r24403 / r24404;
        float r24406 = -1.015348260557885e-15;
        bool r24407 = r24405 <= r24406;
        float r24408 = r24398 / r24400;
        float r24409 = -r24392;
        float r24410 = fma(r24395, r24408, r24409);
        float r24411 = 1.5606657375067698e-11;
        bool r24412 = r24405 <= r24411;
        float r24413 = r24391 * r24393;
        float r24414 = fma(r24413, r24393, r24393);
        float r24415 = fma(r24413, r24414, r24393);
        float r24416 = r24412 ? r24415 : r24405;
        float r24417 = r24407 ? r24410 : r24416;
        return r24417;
}

double f_od(double x, double eps) {
        double r24418 = x;
        double r24419 = tan(r24418);
        double r24420 = eps;
        double r24421 = tan(r24420);
        double r24422 = r24419 + r24421;
        double r24423 = cos(r24418);
        double r24424 = r24422 * r24423;
        double r24425 = 1;
        double r24426 = r24419 * r24421;
        double r24427 = r24425 - r24426;
        double r24428 = sin(r24418);
        double r24429 = r24427 * r24428;
        double r24430 = r24424 - r24429;
        double r24431 = r24427 * r24423;
        double r24432 = r24430 / r24431;
        double r24433 = -1.015348260557885e-15;
        bool r24434 = r24432 <= r24433;
        double r24435 = r24425 / r24427;
        double r24436 = -r24419;
        double r24437 = fma(r24422, r24435, r24436);
        double r24438 = 1.5606657375067698e-11;
        bool r24439 = r24432 <= r24438;
        double r24440 = r24418 * r24420;
        double r24441 = fma(r24440, r24420, r24420);
        double r24442 = fma(r24440, r24441, r24420);
        double r24443 = r24439 ? r24442 : r24432;
        double r24444 = r24434 ? r24437 : r24443;
        return r24444;
}

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 r24445, r24446, r24447, r24448, r24449, r24450;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2448);
        mpfr_init(r24445);
        mpfr_init(r24446);
        mpfr_init(r24447);
        mpfr_init(r24448);
        mpfr_init(r24449);
        mpfr_init(r24450);
}

double f_im(double x, double eps) {
        mpfr_set_d(r24445, x, MPFR_RNDN);
        mpfr_set_d(r24446, eps, MPFR_RNDN);
        mpfr_add(r24447, r24445, r24446, MPFR_RNDN);
        mpfr_tan(r24448, r24447, MPFR_RNDN);
        mpfr_tan(r24449, r24445, MPFR_RNDN);
        mpfr_sub(r24450, r24448, r24449, MPFR_RNDN);
        return mpfr_get_d(r24450, MPFR_RNDN);
}

static mpfr_t r24451, r24452, r24453, r24454, r24455, r24456, r24457, r24458, r24459, r24460, r24461, r24462, r24463, r24464, r24465, r24466, r24467, r24468, r24469, r24470, r24471, r24472, r24473, r24474, r24475, r24476, r24477;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r24451);
        mpfr_init(r24452);
        mpfr_init(r24453);
        mpfr_init(r24454);
        mpfr_init(r24455);
        mpfr_init(r24456);
        mpfr_init(r24457);
        mpfr_init_set_str(r24458, "1", 10, MPFR_RNDN);
        mpfr_init(r24459);
        mpfr_init(r24460);
        mpfr_init(r24461);
        mpfr_init(r24462);
        mpfr_init(r24463);
        mpfr_init(r24464);
        mpfr_init(r24465);
        mpfr_init_set_str(r24466, "-1.015348260557885e-15", 10, MPFR_RNDN);
        mpfr_init(r24467);
        mpfr_init(r24468);
        mpfr_init(r24469);
        mpfr_init(r24470);
        mpfr_init_set_str(r24471, "1.5606657375067698e-11", 10, MPFR_RNDN);
        mpfr_init(r24472);
        mpfr_init(r24473);
        mpfr_init(r24474);
        mpfr_init(r24475);
        mpfr_init(r24476);
        mpfr_init(r24477);
}

double f_fm(double x, double eps) {
        mpfr_set_d(r24451, x, MPFR_RNDN);
        mpfr_tan(r24452, r24451, MPFR_RNDN);
        mpfr_set_d(r24453, eps, MPFR_RNDN);
        mpfr_tan(r24454, r24453, MPFR_RNDN);
        mpfr_add(r24455, r24452, r24454, MPFR_RNDN);
        mpfr_cos(r24456, r24451, MPFR_RNDN);
        mpfr_mul(r24457, r24455, r24456, MPFR_RNDN);
        ;
        mpfr_mul(r24459, r24452, r24454, MPFR_RNDN);
        mpfr_sub(r24460, r24458, r24459, MPFR_RNDN);
        mpfr_sin(r24461, r24451, MPFR_RNDN);
        mpfr_mul(r24462, r24460, r24461, MPFR_RNDN);
        mpfr_sub(r24463, r24457, r24462, MPFR_RNDN);
        mpfr_mul(r24464, r24460, r24456, MPFR_RNDN);
        mpfr_div(r24465, r24463, r24464, MPFR_RNDN);
        ;
        mpfr_set_si(r24467, mpfr_cmp(r24465, r24466) <= 0, MPFR_RNDN);
        mpfr_div(r24468, r24458, r24460, MPFR_RNDN);
        mpfr_neg(r24469, r24452, MPFR_RNDN);
        mpfr_fma(r24470, r24455, r24468, r24469, MPFR_RNDN);
        ;
        mpfr_set_si(r24472, mpfr_cmp(r24465, r24471) <= 0, MPFR_RNDN);
        mpfr_mul(r24473, r24451, r24453, MPFR_RNDN);
        mpfr_fma(r24474, r24473, r24453, r24453, MPFR_RNDN);
        mpfr_fma(r24475, r24473, r24474, r24453, MPFR_RNDN);
        if (mpfr_get_si(r24472, MPFR_RNDN)) { mpfr_set(r24476, r24475, MPFR_RNDN); } else { mpfr_set(r24476, r24465, MPFR_RNDN); };
        if (mpfr_get_si(r24467, MPFR_RNDN)) { mpfr_set(r24477, r24470, MPFR_RNDN); } else { mpfr_set(r24477, r24476, MPFR_RNDN); };
        return mpfr_get_d(r24477, MPFR_RNDN);
}

static mpfr_t r24478, r24479, r24480, r24481, r24482, r24483, r24484, r24485, r24486, r24487, r24488, r24489, r24490, r24491, r24492, r24493, r24494, r24495, r24496, r24497, r24498, r24499, r24500, r24501, r24502, r24503, r24504;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r24478);
        mpfr_init(r24479);
        mpfr_init(r24480);
        mpfr_init(r24481);
        mpfr_init(r24482);
        mpfr_init(r24483);
        mpfr_init(r24484);
        mpfr_init_set_str(r24485, "1", 10, MPFR_RNDN);
        mpfr_init(r24486);
        mpfr_init(r24487);
        mpfr_init(r24488);
        mpfr_init(r24489);
        mpfr_init(r24490);
        mpfr_init(r24491);
        mpfr_init(r24492);
        mpfr_init_set_str(r24493, "-1.015348260557885e-15", 10, MPFR_RNDN);
        mpfr_init(r24494);
        mpfr_init(r24495);
        mpfr_init(r24496);
        mpfr_init(r24497);
        mpfr_init_set_str(r24498, "1.5606657375067698e-11", 10, MPFR_RNDN);
        mpfr_init(r24499);
        mpfr_init(r24500);
        mpfr_init(r24501);
        mpfr_init(r24502);
        mpfr_init(r24503);
        mpfr_init(r24504);
}

double f_dm(double x, double eps) {
        mpfr_set_d(r24478, x, MPFR_RNDN);
        mpfr_tan(r24479, r24478, MPFR_RNDN);
        mpfr_set_d(r24480, eps, MPFR_RNDN);
        mpfr_tan(r24481, r24480, MPFR_RNDN);
        mpfr_add(r24482, r24479, r24481, MPFR_RNDN);
        mpfr_cos(r24483, r24478, MPFR_RNDN);
        mpfr_mul(r24484, r24482, r24483, MPFR_RNDN);
        ;
        mpfr_mul(r24486, r24479, r24481, MPFR_RNDN);
        mpfr_sub(r24487, r24485, r24486, MPFR_RNDN);
        mpfr_sin(r24488, r24478, MPFR_RNDN);
        mpfr_mul(r24489, r24487, r24488, MPFR_RNDN);
        mpfr_sub(r24490, r24484, r24489, MPFR_RNDN);
        mpfr_mul(r24491, r24487, r24483, MPFR_RNDN);
        mpfr_div(r24492, r24490, r24491, MPFR_RNDN);
        ;
        mpfr_set_si(r24494, mpfr_cmp(r24492, r24493) <= 0, MPFR_RNDN);
        mpfr_div(r24495, r24485, r24487, MPFR_RNDN);
        mpfr_neg(r24496, r24479, MPFR_RNDN);
        mpfr_fma(r24497, r24482, r24495, r24496, MPFR_RNDN);
        ;
        mpfr_set_si(r24499, mpfr_cmp(r24492, r24498) <= 0, MPFR_RNDN);
        mpfr_mul(r24500, r24478, r24480, MPFR_RNDN);
        mpfr_fma(r24501, r24500, r24480, r24480, MPFR_RNDN);
        mpfr_fma(r24502, r24500, r24501, r24480, MPFR_RNDN);
        if (mpfr_get_si(r24499, MPFR_RNDN)) { mpfr_set(r24503, r24502, MPFR_RNDN); } else { mpfr_set(r24503, r24492, MPFR_RNDN); };
        if (mpfr_get_si(r24494, MPFR_RNDN)) { mpfr_set(r24504, r24497, MPFR_RNDN); } else { mpfr_set(r24504, r24503, MPFR_RNDN); };
        return mpfr_get_d(r24504, MPFR_RNDN);
}