#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "VandenBroeck and Keller, Equation (23)";

double f_if(float F, float B, float x) {
        float r21795 = x;
        float r21796 = 1;
        float r21797 = B;
        float r21798 = tan(r21797);
        float r21799 = r21796 / r21798;
        float r21800 = r21795 * r21799;
        float r21801 = -r21800;
        float r21802 = F;
        float r21803 = sin(r21797);
        float r21804 = r21802 / r21803;
        float r21805 = r21802 * r21802;
        float r21806 = 2;
        float r21807 = r21805 + r21806;
        float r21808 = r21806 * r21795;
        float r21809 = r21807 + r21808;
        float r21810 = r21796 / r21806;
        float r21811 = -r21810;
        float r21812 = pow(r21809, r21811);
        float r21813 = r21804 * r21812;
        float r21814 = r21801 + r21813;
        return r21814;
}

double f_id(double F, double B, double x) {
        double r21815 = x;
        double r21816 = 1;
        double r21817 = B;
        double r21818 = tan(r21817);
        double r21819 = r21816 / r21818;
        double r21820 = r21815 * r21819;
        double r21821 = -r21820;
        double r21822 = F;
        double r21823 = sin(r21817);
        double r21824 = r21822 / r21823;
        double r21825 = r21822 * r21822;
        double r21826 = 2;
        double r21827 = r21825 + r21826;
        double r21828 = r21826 * r21815;
        double r21829 = r21827 + r21828;
        double r21830 = r21816 / r21826;
        double r21831 = -r21830;
        double r21832 = pow(r21829, r21831);
        double r21833 = r21824 * r21832;
        double r21834 = r21821 + r21833;
        return r21834;
}


double f_of(float F, float B, float x) {
        float r21835 = F;
        float r21836 = -1.6327924127750315;
        bool r21837 = r21835 <= r21836;
        float r21838 = 1;
        float r21839 = 2;
        float r21840 = pow(r21835, r21839);
        float r21841 = B;
        float r21842 = sin(r21841);
        float r21843 = r21840 * r21842;
        float r21844 = r21838 / r21843;
        float r21845 = r21838 / r21842;
        float r21846 = r21844 - r21845;
        float r21847 = x;
        float r21848 = tan(r21841);
        float r21849 = r21847 / r21848;
        float r21850 = r21846 - r21849;
        float r21851 = 2.8577112986072757e-11;
        bool r21852 = r21835 <= r21851;
        float r21853 = 1/2;
        float r21854 = pow(r21839, r21853);
        float r21855 = sqrt(r21853);
        float r21856 = r21855 * r21847;
        float r21857 = r21854 + r21856;
        float r21858 = 1/8;
        float r21859 = sqrt(r21858);
        float r21860 = pow(r21847, r21839);
        float r21861 = r21859 * r21860;
        float r21862 = r21853 * r21861;
        float r21863 = r21857 - r21862;
        float r21864 = r21863 * r21842;
        float r21865 = r21835 / r21864;
        float r21866 = r21865 - r21849;
        float r21867 = r21845 - r21844;
        float r21868 = r21867 - r21849;
        float r21869 = r21852 ? r21866 : r21868;
        float r21870 = r21837 ? r21850 : r21869;
        return r21870;
}

double f_od(double F, double B, double x) {
        double r21871 = F;
        double r21872 = -1.6327924127750315;
        bool r21873 = r21871 <= r21872;
        double r21874 = 1;
        double r21875 = 2;
        double r21876 = pow(r21871, r21875);
        double r21877 = B;
        double r21878 = sin(r21877);
        double r21879 = r21876 * r21878;
        double r21880 = r21874 / r21879;
        double r21881 = r21874 / r21878;
        double r21882 = r21880 - r21881;
        double r21883 = x;
        double r21884 = tan(r21877);
        double r21885 = r21883 / r21884;
        double r21886 = r21882 - r21885;
        double r21887 = 2.8577112986072757e-11;
        bool r21888 = r21871 <= r21887;
        double r21889 = 1/2;
        double r21890 = pow(r21875, r21889);
        double r21891 = sqrt(r21889);
        double r21892 = r21891 * r21883;
        double r21893 = r21890 + r21892;
        double r21894 = 1/8;
        double r21895 = sqrt(r21894);
        double r21896 = pow(r21883, r21875);
        double r21897 = r21895 * r21896;
        double r21898 = r21889 * r21897;
        double r21899 = r21893 - r21898;
        double r21900 = r21899 * r21878;
        double r21901 = r21871 / r21900;
        double r21902 = r21901 - r21885;
        double r21903 = r21881 - r21880;
        double r21904 = r21903 - r21885;
        double r21905 = r21888 ? r21902 : r21904;
        double r21906 = r21873 ? r21886 : r21905;
        return r21906;
}

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 r21907, r21908, r21909, r21910, r21911, r21912, r21913, r21914, r21915, r21916, r21917, r21918, r21919, r21920, r21921, r21922, r21923, r21924, r21925, r21926;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r21907);
        mpfr_init_set_str(r21908, "1", 10, MPFR_RNDN);
        mpfr_init(r21909);
        mpfr_init(r21910);
        mpfr_init(r21911);
        mpfr_init(r21912);
        mpfr_init(r21913);
        mpfr_init(r21914);
        mpfr_init(r21915);
        mpfr_init(r21916);
        mpfr_init(r21917);
        mpfr_init_set_str(r21918, "2", 10, MPFR_RNDN);
        mpfr_init(r21919);
        mpfr_init(r21920);
        mpfr_init(r21921);
        mpfr_init(r21922);
        mpfr_init(r21923);
        mpfr_init(r21924);
        mpfr_init(r21925);
        mpfr_init(r21926);
}

double f_im(double F, double B, double x) {
        mpfr_set_d(r21907, x, MPFR_RNDN);
        ;
        mpfr_set_d(r21909, B, MPFR_RNDN);
        mpfr_tan(r21910, r21909, MPFR_RNDN);
        mpfr_div(r21911, r21908, r21910, MPFR_RNDN);
        mpfr_mul(r21912, r21907, r21911, MPFR_RNDN);
        mpfr_neg(r21913, r21912, MPFR_RNDN);
        mpfr_set_d(r21914, F, MPFR_RNDN);
        mpfr_sin(r21915, r21909, MPFR_RNDN);
        mpfr_div(r21916, r21914, r21915, MPFR_RNDN);
        mpfr_mul(r21917, r21914, r21914, MPFR_RNDN);
        ;
        mpfr_add(r21919, r21917, r21918, MPFR_RNDN);
        mpfr_mul(r21920, r21918, r21907, MPFR_RNDN);
        mpfr_add(r21921, r21919, r21920, MPFR_RNDN);
        mpfr_div(r21922, r21908, r21918, MPFR_RNDN);
        mpfr_neg(r21923, r21922, MPFR_RNDN);
        mpfr_pow(r21924, r21921, r21923, MPFR_RNDN);
        mpfr_mul(r21925, r21916, r21924, MPFR_RNDN);
        mpfr_add(r21926, r21913, r21925, MPFR_RNDN);
        return mpfr_get_d(r21926, MPFR_RNDN);
}

static mpfr_t r21927, r21928, r21929, r21930, r21931, r21932, r21933, r21934, r21935, r21936, r21937, r21938, r21939, r21940, r21941, r21942, r21943, r21944, r21945, r21946, r21947, r21948, r21949, r21950, r21951, r21952, r21953, r21954, r21955, r21956, r21957, r21958, r21959, r21960, r21961, r21962;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r21927);
        mpfr_init_set_str(r21928, "-1.6327924127750315", 10, MPFR_RNDN);
        mpfr_init(r21929);
        mpfr_init_set_str(r21930, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21931, "2", 10, MPFR_RNDN);
        mpfr_init(r21932);
        mpfr_init(r21933);
        mpfr_init(r21934);
        mpfr_init(r21935);
        mpfr_init(r21936);
        mpfr_init(r21937);
        mpfr_init(r21938);
        mpfr_init(r21939);
        mpfr_init(r21940);
        mpfr_init(r21941);
        mpfr_init(r21942);
        mpfr_init_set_str(r21943, "2.8577112986072757e-11", 10, MPFR_RNDN);
        mpfr_init(r21944);
        mpfr_init_set_str(r21945, "1/2", 10, MPFR_RNDN);
        mpfr_init(r21946);
        mpfr_init(r21947);
        mpfr_init(r21948);
        mpfr_init(r21949);
        mpfr_init_set_str(r21950, "1/8", 10, MPFR_RNDN);
        mpfr_init(r21951);
        mpfr_init(r21952);
        mpfr_init(r21953);
        mpfr_init(r21954);
        mpfr_init(r21955);
        mpfr_init(r21956);
        mpfr_init(r21957);
        mpfr_init(r21958);
        mpfr_init(r21959);
        mpfr_init(r21960);
        mpfr_init(r21961);
        mpfr_init(r21962);
}

double f_fm(double F, double B, double x) {
        mpfr_set_d(r21927, F, MPFR_RNDN);
        ;
        mpfr_set_si(r21929, mpfr_cmp(r21927, r21928) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_pow(r21932, r21927, r21931, MPFR_RNDN);
        mpfr_set_d(r21933, B, MPFR_RNDN);
        mpfr_sin(r21934, r21933, MPFR_RNDN);
        mpfr_mul(r21935, r21932, r21934, MPFR_RNDN);
        mpfr_div(r21936, r21930, r21935, MPFR_RNDN);
        mpfr_div(r21937, r21930, r21934, MPFR_RNDN);
        mpfr_sub(r21938, r21936, r21937, MPFR_RNDN);
        mpfr_set_d(r21939, x, MPFR_RNDN);
        mpfr_tan(r21940, r21933, MPFR_RNDN);
        mpfr_div(r21941, r21939, r21940, MPFR_RNDN);
        mpfr_sub(r21942, r21938, r21941, MPFR_RNDN);
        ;
        mpfr_set_si(r21944, mpfr_cmp(r21927, r21943) <= 0, MPFR_RNDN);
        ;
        mpfr_pow(r21946, r21931, r21945, MPFR_RNDN);
        mpfr_sqrt(r21947, r21945, MPFR_RNDN);
        mpfr_mul(r21948, r21947, r21939, MPFR_RNDN);
        mpfr_add(r21949, r21946, r21948, MPFR_RNDN);
        ;
        mpfr_sqrt(r21951, r21950, MPFR_RNDN);
        mpfr_pow(r21952, r21939, r21931, MPFR_RNDN);
        mpfr_mul(r21953, r21951, r21952, MPFR_RNDN);
        mpfr_mul(r21954, r21945, r21953, MPFR_RNDN);
        mpfr_sub(r21955, r21949, r21954, MPFR_RNDN);
        mpfr_mul(r21956, r21955, r21934, MPFR_RNDN);
        mpfr_div(r21957, r21927, r21956, MPFR_RNDN);
        mpfr_sub(r21958, r21957, r21941, MPFR_RNDN);
        mpfr_sub(r21959, r21937, r21936, MPFR_RNDN);
        mpfr_sub(r21960, r21959, r21941, MPFR_RNDN);
        if (mpfr_get_si(r21944, MPFR_RNDN)) { mpfr_set(r21961, r21958, MPFR_RNDN); } else { mpfr_set(r21961, r21960, MPFR_RNDN); };
        if (mpfr_get_si(r21929, MPFR_RNDN)) { mpfr_set(r21962, r21942, MPFR_RNDN); } else { mpfr_set(r21962, r21961, MPFR_RNDN); };
        return mpfr_get_d(r21962, MPFR_RNDN);
}

static mpfr_t r21963, r21964, r21965, r21966, r21967, r21968, r21969, r21970, r21971, r21972, r21973, r21974, r21975, r21976, r21977, r21978, r21979, r21980, r21981, r21982, r21983, r21984, r21985, r21986, r21987, r21988, r21989, r21990, r21991, r21992, r21993, r21994, r21995, r21996, r21997, r21998;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r21963);
        mpfr_init_set_str(r21964, "-1.6327924127750315", 10, MPFR_RNDN);
        mpfr_init(r21965);
        mpfr_init_set_str(r21966, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21967, "2", 10, MPFR_RNDN);
        mpfr_init(r21968);
        mpfr_init(r21969);
        mpfr_init(r21970);
        mpfr_init(r21971);
        mpfr_init(r21972);
        mpfr_init(r21973);
        mpfr_init(r21974);
        mpfr_init(r21975);
        mpfr_init(r21976);
        mpfr_init(r21977);
        mpfr_init(r21978);
        mpfr_init_set_str(r21979, "2.8577112986072757e-11", 10, MPFR_RNDN);
        mpfr_init(r21980);
        mpfr_init_set_str(r21981, "1/2", 10, MPFR_RNDN);
        mpfr_init(r21982);
        mpfr_init(r21983);
        mpfr_init(r21984);
        mpfr_init(r21985);
        mpfr_init_set_str(r21986, "1/8", 10, MPFR_RNDN);
        mpfr_init(r21987);
        mpfr_init(r21988);
        mpfr_init(r21989);
        mpfr_init(r21990);
        mpfr_init(r21991);
        mpfr_init(r21992);
        mpfr_init(r21993);
        mpfr_init(r21994);
        mpfr_init(r21995);
        mpfr_init(r21996);
        mpfr_init(r21997);
        mpfr_init(r21998);
}

double f_dm(double F, double B, double x) {
        mpfr_set_d(r21963, F, MPFR_RNDN);
        ;
        mpfr_set_si(r21965, mpfr_cmp(r21963, r21964) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_pow(r21968, r21963, r21967, MPFR_RNDN);
        mpfr_set_d(r21969, B, MPFR_RNDN);
        mpfr_sin(r21970, r21969, MPFR_RNDN);
        mpfr_mul(r21971, r21968, r21970, MPFR_RNDN);
        mpfr_div(r21972, r21966, r21971, MPFR_RNDN);
        mpfr_div(r21973, r21966, r21970, MPFR_RNDN);
        mpfr_sub(r21974, r21972, r21973, MPFR_RNDN);
        mpfr_set_d(r21975, x, MPFR_RNDN);
        mpfr_tan(r21976, r21969, MPFR_RNDN);
        mpfr_div(r21977, r21975, r21976, MPFR_RNDN);
        mpfr_sub(r21978, r21974, r21977, MPFR_RNDN);
        ;
        mpfr_set_si(r21980, mpfr_cmp(r21963, r21979) <= 0, MPFR_RNDN);
        ;
        mpfr_pow(r21982, r21967, r21981, MPFR_RNDN);
        mpfr_sqrt(r21983, r21981, MPFR_RNDN);
        mpfr_mul(r21984, r21983, r21975, MPFR_RNDN);
        mpfr_add(r21985, r21982, r21984, MPFR_RNDN);
        ;
        mpfr_sqrt(r21987, r21986, MPFR_RNDN);
        mpfr_pow(r21988, r21975, r21967, MPFR_RNDN);
        mpfr_mul(r21989, r21987, r21988, MPFR_RNDN);
        mpfr_mul(r21990, r21981, r21989, MPFR_RNDN);
        mpfr_sub(r21991, r21985, r21990, MPFR_RNDN);
        mpfr_mul(r21992, r21991, r21970, MPFR_RNDN);
        mpfr_div(r21993, r21963, r21992, MPFR_RNDN);
        mpfr_sub(r21994, r21993, r21977, MPFR_RNDN);
        mpfr_sub(r21995, r21973, r21972, MPFR_RNDN);
        mpfr_sub(r21996, r21995, r21977, MPFR_RNDN);
        if (mpfr_get_si(r21980, MPFR_RNDN)) { mpfr_set(r21997, r21994, MPFR_RNDN); } else { mpfr_set(r21997, r21996, MPFR_RNDN); };
        if (mpfr_get_si(r21965, MPFR_RNDN)) { mpfr_set(r21998, r21978, MPFR_RNDN); } else { mpfr_set(r21998, r21997, MPFR_RNDN); };
        return mpfr_get_d(r21998, MPFR_RNDN);
}