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

char *name = "VandenBroeck and Keller, Equation (6)";

double f_if(float F, float l) {
        float r21532 = atan2(1.0, 0.0);
        float r21533 = l;
        float r21534 = r21532 * r21533;
        float r21535 = 1;
        float r21536 = F;
        float r21537 = r21536 * r21536;
        float r21538 = r21535 / r21537;
        float r21539 = tan(r21534);
        float r21540 = r21538 * r21539;
        float r21541 = r21534 - r21540;
        return r21541;
}

double f_id(double F, double l) {
        double r21542 = atan2(1.0, 0.0);
        double r21543 = l;
        double r21544 = r21542 * r21543;
        double r21545 = 1;
        double r21546 = F;
        double r21547 = r21546 * r21546;
        double r21548 = r21545 / r21547;
        double r21549 = tan(r21544);
        double r21550 = r21548 * r21549;
        double r21551 = r21544 - r21550;
        return r21551;
}


double f_of(float F, float l) {
        float r21552 = atan2(1.0, 0.0);
        float r21553 = l;
        float r21554 = r21552 * r21553;
        float r21555 = r21553 * r21552;
        float r21556 = tan(r21555);
        float r21557 = cbrt(r21556);
        float r21558 = F;
        float r21559 = r21557 / r21558;
        float r21560 = r21559 * r21559;
        float r21561 = tan(r21554);
        float r21562 = cbrt(r21561);
        float r21563 = r21560 * r21562;
        float r21564 = r21554 - r21563;
        return r21564;
}

double f_od(double F, double l) {
        double r21565 = atan2(1.0, 0.0);
        double r21566 = l;
        double r21567 = r21565 * r21566;
        double r21568 = r21566 * r21565;
        double r21569 = tan(r21568);
        double r21570 = cbrt(r21569);
        double r21571 = F;
        double r21572 = r21570 / r21571;
        double r21573 = r21572 * r21572;
        double r21574 = tan(r21567);
        double r21575 = cbrt(r21574);
        double r21576 = r21573 * r21575;
        double r21577 = r21567 - r21576;
        return r21577;
}

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 r21578, r21579, r21580, r21581, r21582, r21583, r21584, r21585, r21586, r21587;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(4240);
        mpfr_init(r21578);
        mpfr_init(r21579);
        mpfr_init(r21580);
        mpfr_init_set_str(r21581, "1", 10, MPFR_RNDN);
        mpfr_init(r21582);
        mpfr_init(r21583);
        mpfr_init(r21584);
        mpfr_init(r21585);
        mpfr_init(r21586);
        mpfr_init(r21587);
}

double f_im(double F, double l) {
        mpfr_const_pi(r21578, MPFR_RNDN);
        mpfr_set_d(r21579, l, MPFR_RNDN);
        mpfr_mul(r21580, r21578, r21579, MPFR_RNDN);
        ;
        mpfr_set_d(r21582, F, MPFR_RNDN);
        mpfr_mul(r21583, r21582, r21582, MPFR_RNDN);
        mpfr_div(r21584, r21581, r21583, MPFR_RNDN);
        mpfr_tan(r21585, r21580, MPFR_RNDN);
        mpfr_mul(r21586, r21584, r21585, MPFR_RNDN);
        mpfr_sub(r21587, r21580, r21586, MPFR_RNDN);
        return mpfr_get_d(r21587, MPFR_RNDN);
}

static mpfr_t r21588, r21589, r21590, r21591, r21592, r21593, r21594, r21595, r21596, r21597, r21598, r21599, r21600;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(4240);
        mpfr_init(r21588);
        mpfr_init(r21589);
        mpfr_init(r21590);
        mpfr_init(r21591);
        mpfr_init(r21592);
        mpfr_init(r21593);
        mpfr_init(r21594);
        mpfr_init(r21595);
        mpfr_init(r21596);
        mpfr_init(r21597);
        mpfr_init(r21598);
        mpfr_init(r21599);
        mpfr_init(r21600);
}

double f_fm(double F, double l) {
        mpfr_const_pi(r21588, MPFR_RNDN);
        mpfr_set_d(r21589, l, MPFR_RNDN);
        mpfr_mul(r21590, r21588, r21589, MPFR_RNDN);
        mpfr_mul(r21591, r21589, r21588, MPFR_RNDN);
        mpfr_tan(r21592, r21591, MPFR_RNDN);
        mpfr_cbrt(r21593, r21592, MPFR_RNDN);
        mpfr_set_d(r21594, F, MPFR_RNDN);
        mpfr_div(r21595, r21593, r21594, MPFR_RNDN);
        mpfr_mul(r21596, r21595, r21595, MPFR_RNDN);
        mpfr_tan(r21597, r21590, MPFR_RNDN);
        mpfr_cbrt(r21598, r21597, MPFR_RNDN);
        mpfr_mul(r21599, r21596, r21598, MPFR_RNDN);
        mpfr_sub(r21600, r21590, r21599, MPFR_RNDN);
        return mpfr_get_d(r21600, MPFR_RNDN);
}

static mpfr_t r21601, r21602, r21603, r21604, r21605, r21606, r21607, r21608, r21609, r21610, r21611, r21612, r21613;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(4240);
        mpfr_init(r21601);
        mpfr_init(r21602);
        mpfr_init(r21603);
        mpfr_init(r21604);
        mpfr_init(r21605);
        mpfr_init(r21606);
        mpfr_init(r21607);
        mpfr_init(r21608);
        mpfr_init(r21609);
        mpfr_init(r21610);
        mpfr_init(r21611);
        mpfr_init(r21612);
        mpfr_init(r21613);
}

double f_dm(double F, double l) {
        mpfr_const_pi(r21601, MPFR_RNDN);
        mpfr_set_d(r21602, l, MPFR_RNDN);
        mpfr_mul(r21603, r21601, r21602, MPFR_RNDN);
        mpfr_mul(r21604, r21602, r21601, MPFR_RNDN);
        mpfr_tan(r21605, r21604, MPFR_RNDN);
        mpfr_cbrt(r21606, r21605, MPFR_RNDN);
        mpfr_set_d(r21607, F, MPFR_RNDN);
        mpfr_div(r21608, r21606, r21607, MPFR_RNDN);
        mpfr_mul(r21609, r21608, r21608, MPFR_RNDN);
        mpfr_tan(r21610, r21603, MPFR_RNDN);
        mpfr_cbrt(r21611, r21610, MPFR_RNDN);
        mpfr_mul(r21612, r21609, r21611, MPFR_RNDN);
        mpfr_sub(r21613, r21603, r21612, MPFR_RNDN);
        return mpfr_get_d(r21613, MPFR_RNDN);
}