#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 r20554 = atan2(1.0, 0.0);
        float r20555 = l;
        float r20556 = r20554 * r20555;
        float r20557 = 1;
        float r20558 = F;
        float r20559 = r20558 * r20558;
        float r20560 = r20557 / r20559;
        float r20561 = tan(r20556);
        float r20562 = r20560 * r20561;
        float r20563 = r20556 - r20562;
        return r20563;
}

double f_id(double F, double l) {
        double r20564 = atan2(1.0, 0.0);
        double r20565 = l;
        double r20566 = r20564 * r20565;
        double r20567 = 1;
        double r20568 = F;
        double r20569 = r20568 * r20568;
        double r20570 = r20567 / r20569;
        double r20571 = tan(r20566);
        double r20572 = r20570 * r20571;
        double r20573 = r20566 - r20572;
        return r20573;
}


double f_of(float F, float l) {
        float r20574 = atan2(1.0, 0.0);
        float r20575 = l;
        float r20576 = r20574 * r20575;
        float r20577 = 1;
        float r20578 = F;
        float r20579 = r20577 / r20578;
        float r20580 = r20578 / r20576;
        float r20581 = 1/3;
        float r20582 = r20581 * r20578;
        float r20583 = exp(r20576);
        float r20584 = log(r20583);
        float r20585 = r20582 * r20584;
        float r20586 = r20580 - r20585;
        float r20587 = r20579 / r20586;
        float r20588 = r20576 - r20587;
        return r20588;
}

double f_od(double F, double l) {
        double r20589 = atan2(1.0, 0.0);
        double r20590 = l;
        double r20591 = r20589 * r20590;
        double r20592 = 1;
        double r20593 = F;
        double r20594 = r20592 / r20593;
        double r20595 = r20593 / r20591;
        double r20596 = 1/3;
        double r20597 = r20596 * r20593;
        double r20598 = exp(r20591);
        double r20599 = log(r20598);
        double r20600 = r20597 * r20599;
        double r20601 = r20595 - r20600;
        double r20602 = r20594 / r20601;
        double r20603 = r20591 - r20602;
        return r20603;
}

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 r20604, r20605, r20606, r20607, r20608, r20609, r20610, r20611, r20612, r20613;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3728);
        mpfr_init(r20604);
        mpfr_init(r20605);
        mpfr_init(r20606);
        mpfr_init_set_str(r20607, "1", 10, MPFR_RNDN);
        mpfr_init(r20608);
        mpfr_init(r20609);
        mpfr_init(r20610);
        mpfr_init(r20611);
        mpfr_init(r20612);
        mpfr_init(r20613);
}

double f_im(double F, double l) {
        mpfr_const_pi(r20604, MPFR_RNDN);
        mpfr_set_d(r20605, l, MPFR_RNDN);
        mpfr_mul(r20606, r20604, r20605, MPFR_RNDN);
        ;
        mpfr_set_d(r20608, F, MPFR_RNDN);
        mpfr_mul(r20609, r20608, r20608, MPFR_RNDN);
        mpfr_div(r20610, r20607, r20609, MPFR_RNDN);
        mpfr_tan(r20611, r20606, MPFR_RNDN);
        mpfr_mul(r20612, r20610, r20611, MPFR_RNDN);
        mpfr_sub(r20613, r20606, r20612, MPFR_RNDN);
        return mpfr_get_d(r20613, MPFR_RNDN);
}

static mpfr_t r20614, r20615, r20616, r20617, r20618, r20619, r20620, r20621, r20622, r20623, r20624, r20625, r20626, r20627, r20628;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3728);
        mpfr_init(r20614);
        mpfr_init(r20615);
        mpfr_init(r20616);
        mpfr_init_set_str(r20617, "1", 10, MPFR_RNDN);
        mpfr_init(r20618);
        mpfr_init(r20619);
        mpfr_init(r20620);
        mpfr_init_set_str(r20621, "1/3", 10, MPFR_RNDN);
        mpfr_init(r20622);
        mpfr_init(r20623);
        mpfr_init(r20624);
        mpfr_init(r20625);
        mpfr_init(r20626);
        mpfr_init(r20627);
        mpfr_init(r20628);
}

double f_fm(double F, double l) {
        mpfr_const_pi(r20614, MPFR_RNDN);
        mpfr_set_d(r20615, l, MPFR_RNDN);
        mpfr_mul(r20616, r20614, r20615, MPFR_RNDN);
        ;
        mpfr_set_d(r20618, F, MPFR_RNDN);
        mpfr_div(r20619, r20617, r20618, MPFR_RNDN);
        mpfr_div(r20620, r20618, r20616, MPFR_RNDN);
        ;
        mpfr_mul(r20622, r20621, r20618, MPFR_RNDN);
        mpfr_exp(r20623, r20616, MPFR_RNDN);
        mpfr_log(r20624, r20623, MPFR_RNDN);
        mpfr_mul(r20625, r20622, r20624, MPFR_RNDN);
        mpfr_sub(r20626, r20620, r20625, MPFR_RNDN);
        mpfr_div(r20627, r20619, r20626, MPFR_RNDN);
        mpfr_sub(r20628, r20616, r20627, MPFR_RNDN);
        return mpfr_get_d(r20628, MPFR_RNDN);
}

static mpfr_t r20629, r20630, r20631, r20632, r20633, r20634, r20635, r20636, r20637, r20638, r20639, r20640, r20641, r20642, r20643;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3728);
        mpfr_init(r20629);
        mpfr_init(r20630);
        mpfr_init(r20631);
        mpfr_init_set_str(r20632, "1", 10, MPFR_RNDN);
        mpfr_init(r20633);
        mpfr_init(r20634);
        mpfr_init(r20635);
        mpfr_init_set_str(r20636, "1/3", 10, MPFR_RNDN);
        mpfr_init(r20637);
        mpfr_init(r20638);
        mpfr_init(r20639);
        mpfr_init(r20640);
        mpfr_init(r20641);
        mpfr_init(r20642);
        mpfr_init(r20643);
}

double f_dm(double F, double l) {
        mpfr_const_pi(r20629, MPFR_RNDN);
        mpfr_set_d(r20630, l, MPFR_RNDN);
        mpfr_mul(r20631, r20629, r20630, MPFR_RNDN);
        ;
        mpfr_set_d(r20633, F, MPFR_RNDN);
        mpfr_div(r20634, r20632, r20633, MPFR_RNDN);
        mpfr_div(r20635, r20633, r20631, MPFR_RNDN);
        ;
        mpfr_mul(r20637, r20636, r20633, MPFR_RNDN);
        mpfr_exp(r20638, r20631, MPFR_RNDN);
        mpfr_log(r20639, r20638, MPFR_RNDN);
        mpfr_mul(r20640, r20637, r20639, MPFR_RNDN);
        mpfr_sub(r20641, r20635, r20640, MPFR_RNDN);
        mpfr_div(r20642, r20634, r20641, MPFR_RNDN);
        mpfr_sub(r20643, r20631, r20642, MPFR_RNDN);
        return mpfr_get_d(r20643, MPFR_RNDN);
}