#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 r23883 = atan2(1.0, 0.0);
        float r23884 = l;
        float r23885 = r23883 * r23884;
        float r23886 = 1;
        float r23887 = F;
        float r23888 = r23887 * r23887;
        float r23889 = r23886 / r23888;
        float r23890 = tan(r23885);
        float r23891 = r23889 * r23890;
        float r23892 = r23885 - r23891;
        return r23892;
}

double f_id(double F, double l) {
        double r23893 = atan2(1.0, 0.0);
        double r23894 = l;
        double r23895 = r23893 * r23894;
        double r23896 = 1;
        double r23897 = F;
        double r23898 = r23897 * r23897;
        double r23899 = r23896 / r23898;
        double r23900 = tan(r23895);
        double r23901 = r23899 * r23900;
        double r23902 = r23895 - r23901;
        return r23902;
}


double f_of(float F, float l) {
        float r23903 = atan2(1.0, 0.0);
        float r23904 = l;
        float r23905 = r23903 * r23904;
        float r23906 = 1;
        float r23907 = F;
        float r23908 = r23906 / r23907;
        float r23909 = r23907 / r23905;
        float r23910 = r23903 * r23907;
        float r23911 = 1/3;
        float r23912 = r23911 * r23904;
        float r23913 = r23910 * r23912;
        float r23914 = r23909 - r23913;
        float r23915 = r23908 / r23914;
        float r23916 = r23905 - r23915;
        return r23916;
}

double f_od(double F, double l) {
        double r23917 = atan2(1.0, 0.0);
        double r23918 = l;
        double r23919 = r23917 * r23918;
        double r23920 = 1;
        double r23921 = F;
        double r23922 = r23920 / r23921;
        double r23923 = r23921 / r23919;
        double r23924 = r23917 * r23921;
        double r23925 = 1/3;
        double r23926 = r23925 * r23918;
        double r23927 = r23924 * r23926;
        double r23928 = r23923 - r23927;
        double r23929 = r23922 / r23928;
        double r23930 = r23919 - r23929;
        return r23930;
}

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 r23931, r23932, r23933, r23934, r23935, r23936, r23937, r23938, r23939, r23940;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(4944);
        mpfr_init(r23931);
        mpfr_init(r23932);
        mpfr_init(r23933);
        mpfr_init_set_str(r23934, "1", 10, MPFR_RNDN);
        mpfr_init(r23935);
        mpfr_init(r23936);
        mpfr_init(r23937);
        mpfr_init(r23938);
        mpfr_init(r23939);
        mpfr_init(r23940);
}

double f_im(double F, double l) {
        mpfr_const_pi(r23931, MPFR_RNDN);
        mpfr_set_d(r23932, l, MPFR_RNDN);
        mpfr_mul(r23933, r23931, r23932, MPFR_RNDN);
        ;
        mpfr_set_d(r23935, F, MPFR_RNDN);
        mpfr_mul(r23936, r23935, r23935, MPFR_RNDN);
        mpfr_div(r23937, r23934, r23936, MPFR_RNDN);
        mpfr_tan(r23938, r23933, MPFR_RNDN);
        mpfr_mul(r23939, r23937, r23938, MPFR_RNDN);
        mpfr_sub(r23940, r23933, r23939, MPFR_RNDN);
        return mpfr_get_d(r23940, MPFR_RNDN);
}

static mpfr_t r23941, r23942, r23943, r23944, r23945, r23946, r23947, r23948, r23949, r23950, r23951, r23952, r23953, r23954;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(4944);
        mpfr_init(r23941);
        mpfr_init(r23942);
        mpfr_init(r23943);
        mpfr_init_set_str(r23944, "1", 10, MPFR_RNDN);
        mpfr_init(r23945);
        mpfr_init(r23946);
        mpfr_init(r23947);
        mpfr_init(r23948);
        mpfr_init_set_str(r23949, "1/3", 10, MPFR_RNDN);
        mpfr_init(r23950);
        mpfr_init(r23951);
        mpfr_init(r23952);
        mpfr_init(r23953);
        mpfr_init(r23954);
}

double f_fm(double F, double l) {
        mpfr_const_pi(r23941, MPFR_RNDN);
        mpfr_set_d(r23942, l, MPFR_RNDN);
        mpfr_mul(r23943, r23941, r23942, MPFR_RNDN);
        ;
        mpfr_set_d(r23945, F, MPFR_RNDN);
        mpfr_div(r23946, r23944, r23945, MPFR_RNDN);
        mpfr_div(r23947, r23945, r23943, MPFR_RNDN);
        mpfr_mul(r23948, r23941, r23945, MPFR_RNDN);
        ;
        mpfr_mul(r23950, r23949, r23942, MPFR_RNDN);
        mpfr_mul(r23951, r23948, r23950, MPFR_RNDN);
        mpfr_sub(r23952, r23947, r23951, MPFR_RNDN);
        mpfr_div(r23953, r23946, r23952, MPFR_RNDN);
        mpfr_sub(r23954, r23943, r23953, MPFR_RNDN);
        return mpfr_get_d(r23954, MPFR_RNDN);
}

static mpfr_t r23955, r23956, r23957, r23958, r23959, r23960, r23961, r23962, r23963, r23964, r23965, r23966, r23967, r23968;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(4944);
        mpfr_init(r23955);
        mpfr_init(r23956);
        mpfr_init(r23957);
        mpfr_init_set_str(r23958, "1", 10, MPFR_RNDN);
        mpfr_init(r23959);
        mpfr_init(r23960);
        mpfr_init(r23961);
        mpfr_init(r23962);
        mpfr_init_set_str(r23963, "1/3", 10, MPFR_RNDN);
        mpfr_init(r23964);
        mpfr_init(r23965);
        mpfr_init(r23966);
        mpfr_init(r23967);
        mpfr_init(r23968);
}

double f_dm(double F, double l) {
        mpfr_const_pi(r23955, MPFR_RNDN);
        mpfr_set_d(r23956, l, MPFR_RNDN);
        mpfr_mul(r23957, r23955, r23956, MPFR_RNDN);
        ;
        mpfr_set_d(r23959, F, MPFR_RNDN);
        mpfr_div(r23960, r23958, r23959, MPFR_RNDN);
        mpfr_div(r23961, r23959, r23957, MPFR_RNDN);
        mpfr_mul(r23962, r23955, r23959, MPFR_RNDN);
        ;
        mpfr_mul(r23964, r23963, r23956, MPFR_RNDN);
        mpfr_mul(r23965, r23962, r23964, MPFR_RNDN);
        mpfr_sub(r23966, r23961, r23965, MPFR_RNDN);
        mpfr_div(r23967, r23960, r23966, MPFR_RNDN);
        mpfr_sub(r23968, r23957, r23967, MPFR_RNDN);
        return mpfr_get_d(r23968, MPFR_RNDN);
}