#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 r23944 = atan2(1.0, 0.0);
        float r23945 = l;
        float r23946 = r23944 * r23945;
        float r23947 = 1;
        float r23948 = F;
        float r23949 = r23948 * r23948;
        float r23950 = r23947 / r23949;
        float r23951 = tan(r23946);
        float r23952 = r23950 * r23951;
        float r23953 = r23946 - r23952;
        return r23953;
}

double f_id(double F, double l) {
        double r23954 = atan2(1.0, 0.0);
        double r23955 = l;
        double r23956 = r23954 * r23955;
        double r23957 = 1;
        double r23958 = F;
        double r23959 = r23958 * r23958;
        double r23960 = r23957 / r23959;
        double r23961 = tan(r23956);
        double r23962 = r23960 * r23961;
        double r23963 = r23956 - r23962;
        return r23963;
}


double f_of(float F, float l) {
        float r23964 = atan2(1.0, 0.0);
        float r23965 = l;
        float r23966 = r23964 * r23965;
        float r23967 = r23965 * r23964;
        float r23968 = tan(r23967);
        float r23969 = cbrt(r23968);
        float r23970 = F;
        float r23971 = r23969 / r23970;
        float r23972 = r23969 * r23969;
        float r23973 = r23972 * r23969;
        float r23974 = cbrt(r23973);
        float r23975 = r23974 / r23970;
        float r23976 = r23971 * r23975;
        float r23977 = tan(r23966);
        float r23978 = cbrt(r23977);
        float r23979 = r23976 * r23978;
        float r23980 = r23966 - r23979;
        return r23980;
}

double f_od(double F, double l) {
        double r23981 = atan2(1.0, 0.0);
        double r23982 = l;
        double r23983 = r23981 * r23982;
        double r23984 = r23982 * r23981;
        double r23985 = tan(r23984);
        double r23986 = cbrt(r23985);
        double r23987 = F;
        double r23988 = r23986 / r23987;
        double r23989 = r23986 * r23986;
        double r23990 = r23989 * r23986;
        double r23991 = cbrt(r23990);
        double r23992 = r23991 / r23987;
        double r23993 = r23988 * r23992;
        double r23994 = tan(r23983);
        double r23995 = cbrt(r23994);
        double r23996 = r23993 * r23995;
        double r23997 = r23983 - r23996;
        return r23997;
}

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 r23998, r23999, r24000, r24001, r24002, r24003, r24004, r24005, r24006, r24007;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2896);
        mpfr_init(r23998);
        mpfr_init(r23999);
        mpfr_init(r24000);
        mpfr_init_set_str(r24001, "1", 10, MPFR_RNDN);
        mpfr_init(r24002);
        mpfr_init(r24003);
        mpfr_init(r24004);
        mpfr_init(r24005);
        mpfr_init(r24006);
        mpfr_init(r24007);
}

double f_im(double F, double l) {
        mpfr_const_pi(r23998, MPFR_RNDN);
        mpfr_set_d(r23999, l, MPFR_RNDN);
        mpfr_mul(r24000, r23998, r23999, MPFR_RNDN);
        ;
        mpfr_set_d(r24002, F, MPFR_RNDN);
        mpfr_mul(r24003, r24002, r24002, MPFR_RNDN);
        mpfr_div(r24004, r24001, r24003, MPFR_RNDN);
        mpfr_tan(r24005, r24000, MPFR_RNDN);
        mpfr_mul(r24006, r24004, r24005, MPFR_RNDN);
        mpfr_sub(r24007, r24000, r24006, MPFR_RNDN);
        return mpfr_get_d(r24007, MPFR_RNDN);
}

static mpfr_t r24008, r24009, r24010, r24011, r24012, r24013, r24014, r24015, r24016, r24017, r24018, r24019, r24020, r24021, r24022, r24023, r24024;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2896);
        mpfr_init(r24008);
        mpfr_init(r24009);
        mpfr_init(r24010);
        mpfr_init(r24011);
        mpfr_init(r24012);
        mpfr_init(r24013);
        mpfr_init(r24014);
        mpfr_init(r24015);
        mpfr_init(r24016);
        mpfr_init(r24017);
        mpfr_init(r24018);
        mpfr_init(r24019);
        mpfr_init(r24020);
        mpfr_init(r24021);
        mpfr_init(r24022);
        mpfr_init(r24023);
        mpfr_init(r24024);
}

double f_fm(double F, double l) {
        mpfr_const_pi(r24008, MPFR_RNDN);
        mpfr_set_d(r24009, l, MPFR_RNDN);
        mpfr_mul(r24010, r24008, r24009, MPFR_RNDN);
        mpfr_mul(r24011, r24009, r24008, MPFR_RNDN);
        mpfr_tan(r24012, r24011, MPFR_RNDN);
        mpfr_cbrt(r24013, r24012, MPFR_RNDN);
        mpfr_set_d(r24014, F, MPFR_RNDN);
        mpfr_div(r24015, r24013, r24014, MPFR_RNDN);
        mpfr_mul(r24016, r24013, r24013, MPFR_RNDN);
        mpfr_mul(r24017, r24016, r24013, MPFR_RNDN);
        mpfr_cbrt(r24018, r24017, MPFR_RNDN);
        mpfr_div(r24019, r24018, r24014, MPFR_RNDN);
        mpfr_mul(r24020, r24015, r24019, MPFR_RNDN);
        mpfr_tan(r24021, r24010, MPFR_RNDN);
        mpfr_cbrt(r24022, r24021, MPFR_RNDN);
        mpfr_mul(r24023, r24020, r24022, MPFR_RNDN);
        mpfr_sub(r24024, r24010, r24023, MPFR_RNDN);
        return mpfr_get_d(r24024, MPFR_RNDN);
}

static mpfr_t r24025, r24026, r24027, r24028, r24029, r24030, r24031, r24032, r24033, r24034, r24035, r24036, r24037, r24038, r24039, r24040, r24041;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2896);
        mpfr_init(r24025);
        mpfr_init(r24026);
        mpfr_init(r24027);
        mpfr_init(r24028);
        mpfr_init(r24029);
        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);
}

double f_dm(double F, double l) {
        mpfr_const_pi(r24025, MPFR_RNDN);
        mpfr_set_d(r24026, l, MPFR_RNDN);
        mpfr_mul(r24027, r24025, r24026, MPFR_RNDN);
        mpfr_mul(r24028, r24026, r24025, MPFR_RNDN);
        mpfr_tan(r24029, r24028, MPFR_RNDN);
        mpfr_cbrt(r24030, r24029, MPFR_RNDN);
        mpfr_set_d(r24031, F, MPFR_RNDN);
        mpfr_div(r24032, r24030, r24031, MPFR_RNDN);
        mpfr_mul(r24033, r24030, r24030, MPFR_RNDN);
        mpfr_mul(r24034, r24033, r24030, MPFR_RNDN);
        mpfr_cbrt(r24035, r24034, MPFR_RNDN);
        mpfr_div(r24036, r24035, r24031, MPFR_RNDN);
        mpfr_mul(r24037, r24032, r24036, MPFR_RNDN);
        mpfr_tan(r24038, r24027, MPFR_RNDN);
        mpfr_cbrt(r24039, r24038, MPFR_RNDN);
        mpfr_mul(r24040, r24037, r24039, MPFR_RNDN);
        mpfr_sub(r24041, r24027, r24040, MPFR_RNDN);
        return mpfr_get_d(r24041, MPFR_RNDN);
}