#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 r23961 = atan2(1.0, 0.0);
        float r23962 = l;
        float r23963 = r23961 * r23962;
        float r23964 = 1;
        float r23965 = F;
        float r23966 = r23965 * r23965;
        float r23967 = r23964 / r23966;
        float r23968 = tan(r23963);
        float r23969 = r23967 * r23968;
        float r23970 = r23963 - r23969;
        return r23970;
}

double f_id(double F, double l) {
        double r23971 = atan2(1.0, 0.0);
        double r23972 = l;
        double r23973 = r23971 * r23972;
        double r23974 = 1;
        double r23975 = F;
        double r23976 = r23975 * r23975;
        double r23977 = r23974 / r23976;
        double r23978 = tan(r23973);
        double r23979 = r23977 * r23978;
        double r23980 = r23973 - r23979;
        return r23980;
}


double f_of(float F, float l) {
        float r23981 = atan2(1.0, 0.0);
        float r23982 = l;
        float r23983 = r23981 * r23982;
        float r23984 = r23982 * r23981;
        float r23985 = tan(r23984);
        float r23986 = cbrt(r23985);
        float r23987 = F;
        float r23988 = r23986 / r23987;
        float r23989 = r23988 * r23988;
        float r23990 = tan(r23983);
        float r23991 = cbrt(r23990);
        float r23992 = r23989 * r23991;
        float r23993 = r23983 - r23992;
        return r23993;
}

double f_od(double F, double l) {
        double r23994 = atan2(1.0, 0.0);
        double r23995 = l;
        double r23996 = r23994 * r23995;
        double r23997 = r23995 * r23994;
        double r23998 = tan(r23997);
        double r23999 = cbrt(r23998);
        double r24000 = F;
        double r24001 = r23999 / r24000;
        double r24002 = r24001 * r24001;
        double r24003 = tan(r23996);
        double r24004 = cbrt(r24003);
        double r24005 = r24002 * r24004;
        double r24006 = r23996 - r24005;
        return r24006;
}

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 r24007, r24008, r24009, r24010, r24011, r24012, r24013, r24014, r24015, r24016;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3408);
        mpfr_init(r24007);
        mpfr_init(r24008);
        mpfr_init(r24009);
        mpfr_init_set_str(r24010, "1", 10, MPFR_RNDN);
        mpfr_init(r24011);
        mpfr_init(r24012);
        mpfr_init(r24013);
        mpfr_init(r24014);
        mpfr_init(r24015);
        mpfr_init(r24016);
}

double f_im(double F, double l) {
        mpfr_const_pi(r24007, MPFR_RNDN);
        mpfr_set_d(r24008, l, MPFR_RNDN);
        mpfr_mul(r24009, r24007, r24008, MPFR_RNDN);
        ;
        mpfr_set_d(r24011, F, MPFR_RNDN);
        mpfr_mul(r24012, r24011, r24011, MPFR_RNDN);
        mpfr_div(r24013, r24010, r24012, MPFR_RNDN);
        mpfr_tan(r24014, r24009, MPFR_RNDN);
        mpfr_mul(r24015, r24013, r24014, MPFR_RNDN);
        mpfr_sub(r24016, r24009, r24015, MPFR_RNDN);
        return mpfr_get_d(r24016, MPFR_RNDN);
}

static mpfr_t r24017, r24018, r24019, r24020, r24021, r24022, r24023, r24024, r24025, r24026, r24027, r24028, r24029;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3408);
        mpfr_init(r24017);
        mpfr_init(r24018);
        mpfr_init(r24019);
        mpfr_init(r24020);
        mpfr_init(r24021);
        mpfr_init(r24022);
        mpfr_init(r24023);
        mpfr_init(r24024);
        mpfr_init(r24025);
        mpfr_init(r24026);
        mpfr_init(r24027);
        mpfr_init(r24028);
        mpfr_init(r24029);
}

double f_fm(double F, double l) {
        mpfr_const_pi(r24017, MPFR_RNDN);
        mpfr_set_d(r24018, l, MPFR_RNDN);
        mpfr_mul(r24019, r24017, r24018, MPFR_RNDN);
        mpfr_mul(r24020, r24018, r24017, MPFR_RNDN);
        mpfr_tan(r24021, r24020, MPFR_RNDN);
        mpfr_cbrt(r24022, r24021, MPFR_RNDN);
        mpfr_set_d(r24023, F, MPFR_RNDN);
        mpfr_div(r24024, r24022, r24023, MPFR_RNDN);
        mpfr_mul(r24025, r24024, r24024, MPFR_RNDN);
        mpfr_tan(r24026, r24019, MPFR_RNDN);
        mpfr_cbrt(r24027, r24026, MPFR_RNDN);
        mpfr_mul(r24028, r24025, r24027, MPFR_RNDN);
        mpfr_sub(r24029, r24019, r24028, MPFR_RNDN);
        return mpfr_get_d(r24029, MPFR_RNDN);
}

static mpfr_t r24030, r24031, r24032, r24033, r24034, r24035, r24036, r24037, r24038, r24039, r24040, r24041, r24042;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3408);
        mpfr_init(r24030);
        mpfr_init(r24031);
        mpfr_init(r24032);
        mpfr_init(r24033);
        mpfr_init(r24034);
        mpfr_init(r24035);
        mpfr_init(r24036);
        mpfr_init(r24037);
        mpfr_init(r24038);
        mpfr_init(r24039);
        mpfr_init(r24040);
        mpfr_init(r24041);
        mpfr_init(r24042);
}

double f_dm(double F, double l) {
        mpfr_const_pi(r24030, MPFR_RNDN);
        mpfr_set_d(r24031, l, MPFR_RNDN);
        mpfr_mul(r24032, r24030, r24031, MPFR_RNDN);
        mpfr_mul(r24033, r24031, r24030, MPFR_RNDN);
        mpfr_tan(r24034, r24033, MPFR_RNDN);
        mpfr_cbrt(r24035, r24034, MPFR_RNDN);
        mpfr_set_d(r24036, F, MPFR_RNDN);
        mpfr_div(r24037, r24035, r24036, MPFR_RNDN);
        mpfr_mul(r24038, r24037, r24037, MPFR_RNDN);
        mpfr_tan(r24039, r24032, MPFR_RNDN);
        mpfr_cbrt(r24040, r24039, MPFR_RNDN);
        mpfr_mul(r24041, r24038, r24040, MPFR_RNDN);
        mpfr_sub(r24042, r24032, r24041, MPFR_RNDN);
        return mpfr_get_d(r24042, MPFR_RNDN);
}