#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 r8006 = atan2(1.0, 0.0);
        float r8007 = l;
        float r8008 = r8006 * r8007;
        float r8009 = 1;
        float r8010 = F;
        float r8011 = r8010 * r8010;
        float r8012 = r8009 / r8011;
        float r8013 = tan(r8008);
        float r8014 = r8012 * r8013;
        float r8015 = r8008 - r8014;
        return r8015;
}

double f_id(double F, double l) {
        double r8016 = atan2(1.0, 0.0);
        double r8017 = l;
        double r8018 = r8016 * r8017;
        double r8019 = 1;
        double r8020 = F;
        double r8021 = r8020 * r8020;
        double r8022 = r8019 / r8021;
        double r8023 = tan(r8018);
        double r8024 = r8022 * r8023;
        double r8025 = r8018 - r8024;
        return r8025;
}


double f_of(float F, float l) {
        float r8026 = atan2(1.0, 0.0);
        float r8027 = l;
        float r8028 = r8026 * r8027;
        float r8029 = r8027 * r8026;
        float r8030 = tan(r8029);
        float r8031 = cbrt(r8030);
        float r8032 = F;
        float r8033 = r8031 / r8032;
        float r8034 = r8033 * r8033;
        float r8035 = tan(r8028);
        float r8036 = cbrt(r8035);
        float r8037 = r8034 * r8036;
        float r8038 = r8028 - r8037;
        return r8038;
}

double f_od(double F, double l) {
        double r8039 = atan2(1.0, 0.0);
        double r8040 = l;
        double r8041 = r8039 * r8040;
        double r8042 = r8040 * r8039;
        double r8043 = tan(r8042);
        double r8044 = cbrt(r8043);
        double r8045 = F;
        double r8046 = r8044 / r8045;
        double r8047 = r8046 * r8046;
        double r8048 = tan(r8041);
        double r8049 = cbrt(r8048);
        double r8050 = r8047 * r8049;
        double r8051 = r8041 - r8050;
        return r8051;
}

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 r8052, r8053, r8054, r8055, r8056, r8057, r8058, r8059, r8060, r8061;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2896);
        mpfr_init(r8052);
        mpfr_init(r8053);
        mpfr_init(r8054);
        mpfr_init_set_str(r8055, "1", 10, MPFR_RNDN);
        mpfr_init(r8056);
        mpfr_init(r8057);
        mpfr_init(r8058);
        mpfr_init(r8059);
        mpfr_init(r8060);
        mpfr_init(r8061);
}

double f_im(double F, double l) {
        mpfr_const_pi(r8052, MPFR_RNDN);
        mpfr_set_d(r8053, l, MPFR_RNDN);
        mpfr_mul(r8054, r8052, r8053, MPFR_RNDN);
        ;
        mpfr_set_d(r8056, F, MPFR_RNDN);
        mpfr_mul(r8057, r8056, r8056, MPFR_RNDN);
        mpfr_div(r8058, r8055, r8057, MPFR_RNDN);
        mpfr_tan(r8059, r8054, MPFR_RNDN);
        mpfr_mul(r8060, r8058, r8059, MPFR_RNDN);
        mpfr_sub(r8061, r8054, r8060, MPFR_RNDN);
        return mpfr_get_d(r8061, MPFR_RNDN);
}

static mpfr_t r8062, r8063, r8064, r8065, r8066, r8067, r8068, r8069, r8070, r8071, r8072, r8073, r8074;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2896);
        mpfr_init(r8062);
        mpfr_init(r8063);
        mpfr_init(r8064);
        mpfr_init(r8065);
        mpfr_init(r8066);
        mpfr_init(r8067);
        mpfr_init(r8068);
        mpfr_init(r8069);
        mpfr_init(r8070);
        mpfr_init(r8071);
        mpfr_init(r8072);
        mpfr_init(r8073);
        mpfr_init(r8074);
}

double f_fm(double F, double l) {
        mpfr_const_pi(r8062, MPFR_RNDN);
        mpfr_set_d(r8063, l, MPFR_RNDN);
        mpfr_mul(r8064, r8062, r8063, MPFR_RNDN);
        mpfr_mul(r8065, r8063, r8062, MPFR_RNDN);
        mpfr_tan(r8066, r8065, MPFR_RNDN);
        mpfr_cbrt(r8067, r8066, MPFR_RNDN);
        mpfr_set_d(r8068, F, MPFR_RNDN);
        mpfr_div(r8069, r8067, r8068, MPFR_RNDN);
        mpfr_mul(r8070, r8069, r8069, MPFR_RNDN);
        mpfr_tan(r8071, r8064, MPFR_RNDN);
        mpfr_cbrt(r8072, r8071, MPFR_RNDN);
        mpfr_mul(r8073, r8070, r8072, MPFR_RNDN);
        mpfr_sub(r8074, r8064, r8073, MPFR_RNDN);
        return mpfr_get_d(r8074, MPFR_RNDN);
}

static mpfr_t r8075, r8076, r8077, r8078, r8079, r8080, r8081, r8082, r8083, r8084, r8085, r8086, r8087;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2896);
        mpfr_init(r8075);
        mpfr_init(r8076);
        mpfr_init(r8077);
        mpfr_init(r8078);
        mpfr_init(r8079);
        mpfr_init(r8080);
        mpfr_init(r8081);
        mpfr_init(r8082);
        mpfr_init(r8083);
        mpfr_init(r8084);
        mpfr_init(r8085);
        mpfr_init(r8086);
        mpfr_init(r8087);
}

double f_dm(double F, double l) {
        mpfr_const_pi(r8075, MPFR_RNDN);
        mpfr_set_d(r8076, l, MPFR_RNDN);
        mpfr_mul(r8077, r8075, r8076, MPFR_RNDN);
        mpfr_mul(r8078, r8076, r8075, MPFR_RNDN);
        mpfr_tan(r8079, r8078, MPFR_RNDN);
        mpfr_cbrt(r8080, r8079, MPFR_RNDN);
        mpfr_set_d(r8081, F, MPFR_RNDN);
        mpfr_div(r8082, r8080, r8081, MPFR_RNDN);
        mpfr_mul(r8083, r8082, r8082, MPFR_RNDN);
        mpfr_tan(r8084, r8077, MPFR_RNDN);
        mpfr_cbrt(r8085, r8084, MPFR_RNDN);
        mpfr_mul(r8086, r8083, r8085, MPFR_RNDN);
        mpfr_sub(r8087, r8077, r8086, MPFR_RNDN);
        return mpfr_get_d(r8087, MPFR_RNDN);
}