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

char *name = "Octave 3.8, jcobi/4";

double f_if(float alpha, float beta, float i) {
        float r16821 = i;
        float r16822 = alpha;
        float r16823 = beta;
        float r16824 = r16822 + r16823;
        float r16825 = r16824 + r16821;
        float r16826 = r16821 * r16825;
        float r16827 = r16823 * r16822;
        float r16828 = r16827 + r16826;
        float r16829 = r16826 * r16828;
        float r16830 = 2.0f;
        float r16831 = r16830 * r16821;
        float r16832 = r16824 + r16831;
        float r16833 = r16832 * r16832;
        float r16834 = r16829 / r16833;
        float r16835 = 1.0f;
        float r16836 = r16833 - r16835;
        float r16837 = r16834 / r16836;
        return r16837;
}

double f_id(double alpha, double beta, double i) {
        double r16838 = i;
        double r16839 = alpha;
        double r16840 = beta;
        double r16841 = r16839 + r16840;
        double r16842 = r16841 + r16838;
        double r16843 = r16838 * r16842;
        double r16844 = r16840 * r16839;
        double r16845 = r16844 + r16843;
        double r16846 = r16843 * r16845;
        double r16847 = 2.0;
        double r16848 = r16847 * r16838;
        double r16849 = r16841 + r16848;
        double r16850 = r16849 * r16849;
        double r16851 = r16846 / r16850;
        double r16852 = 1.0;
        double r16853 = r16850 - r16852;
        double r16854 = r16851 / r16853;
        return r16854;
}


double f_of(float alpha, float beta, float i) {
        float r16855 = beta;
        float r16856 = 1.6334032480937968e+19f;
        bool r16857 = r16855 <= r16856;
        float r16858 = i;
        float r16859 = alpha;
        float r16860 = r16858 + r16859;
        float r16861 = r16855 + r16860;
        float r16862 = r16858 * r16861;
        float r16863 = sqrt(r16862);
        float r16864 = r16855 + r16859;
        float r16865 = 2.0f;
        float r16866 = r16865 * r16858;
        float r16867 = r16864 + r16866;
        float r16868 = r16859 * r16855;
        float r16869 = r16868 + r16862;
        float r16870 = sqrt(r16869);
        float r16871 = r16867 / r16870;
        float r16872 = r16863 / r16871;
        float r16873 = r16867 * r16867;
        float r16874 = 1.0f;
        float r16875 = r16873 - r16874;
        float r16876 = sqrt(r16875);
        float r16877 = r16872 / r16876;
        float r16878 = r16877 * r16877;
        float r16879 = 0.0f;
        float r16880 = r16857 ? r16878 : r16879;
        return r16880;
}

double f_od(double alpha, double beta, double i) {
        double r16881 = beta;
        double r16882 = 1.6334032480937968e+19;
        bool r16883 = r16881 <= r16882;
        double r16884 = i;
        double r16885 = alpha;
        double r16886 = r16884 + r16885;
        double r16887 = r16881 + r16886;
        double r16888 = r16884 * r16887;
        double r16889 = sqrt(r16888);
        double r16890 = r16881 + r16885;
        double r16891 = 2.0;
        double r16892 = r16891 * r16884;
        double r16893 = r16890 + r16892;
        double r16894 = r16885 * r16881;
        double r16895 = r16894 + r16888;
        double r16896 = sqrt(r16895);
        double r16897 = r16893 / r16896;
        double r16898 = r16889 / r16897;
        double r16899 = r16893 * r16893;
        double r16900 = 1.0;
        double r16901 = r16899 - r16900;
        double r16902 = sqrt(r16901);
        double r16903 = r16898 / r16902;
        double r16904 = r16903 * r16903;
        double r16905 = 0.0;
        double r16906 = r16883 ? r16904 : r16905;
        return r16906;
}

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 r16907, r16908, r16909, r16910, r16911, r16912, r16913, r16914, r16915, r16916, r16917, r16918, r16919, r16920, r16921, r16922, r16923;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16907);
        mpfr_init(r16908);
        mpfr_init(r16909);
        mpfr_init(r16910);
        mpfr_init(r16911);
        mpfr_init(r16912);
        mpfr_init(r16913);
        mpfr_init(r16914);
        mpfr_init(r16915);
        mpfr_init_set_str(r16916, "2", 10, MPFR_RNDN);
        mpfr_init(r16917);
        mpfr_init(r16918);
        mpfr_init(r16919);
        mpfr_init(r16920);
        mpfr_init_set_str(r16921, "1.0", 10, MPFR_RNDN);
        mpfr_init(r16922);
        mpfr_init(r16923);
}

double f_im(double alpha, double beta, double i) {
        mpfr_set_d(r16907, i, MPFR_RNDN);
        mpfr_set_d(r16908, alpha, MPFR_RNDN);
        mpfr_set_d(r16909, beta, MPFR_RNDN);
        mpfr_add(r16910, r16908, r16909, MPFR_RNDN);
        mpfr_add(r16911, r16910, r16907, MPFR_RNDN);
        mpfr_mul(r16912, r16907, r16911, MPFR_RNDN);
        mpfr_mul(r16913, r16909, r16908, MPFR_RNDN);
        mpfr_add(r16914, r16913, r16912, MPFR_RNDN);
        mpfr_mul(r16915, r16912, r16914, MPFR_RNDN);
        ;
        mpfr_mul(r16917, r16916, r16907, MPFR_RNDN);
        mpfr_add(r16918, r16910, r16917, MPFR_RNDN);
        mpfr_mul(r16919, r16918, r16918, MPFR_RNDN);
        mpfr_div(r16920, r16915, r16919, MPFR_RNDN);
        ;
        mpfr_sub(r16922, r16919, r16921, MPFR_RNDN);
        mpfr_div(r16923, r16920, r16922, MPFR_RNDN);
        return mpfr_get_d(r16923, MPFR_RNDN);
}

static mpfr_t r16924, r16925, r16926, r16927, r16928, r16929, r16930, r16931, r16932, r16933, r16934, r16935, r16936, r16937, r16938, r16939, r16940, r16941, r16942, r16943, r16944, r16945, r16946, r16947, r16948, r16949;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16924);
        mpfr_init_set_str(r16925, "1.6334032f+19", 10, MPFR_RNDN);
        mpfr_init(r16926);
        mpfr_init(r16927);
        mpfr_init(r16928);
        mpfr_init(r16929);
        mpfr_init(r16930);
        mpfr_init(r16931);
        mpfr_init(r16932);
        mpfr_init(r16933);
        mpfr_init_set_str(r16934, "2", 10, MPFR_RNDN);
        mpfr_init(r16935);
        mpfr_init(r16936);
        mpfr_init(r16937);
        mpfr_init(r16938);
        mpfr_init(r16939);
        mpfr_init(r16940);
        mpfr_init(r16941);
        mpfr_init(r16942);
        mpfr_init_set_str(r16943, "1.0", 10, MPFR_RNDN);
        mpfr_init(r16944);
        mpfr_init(r16945);
        mpfr_init(r16946);
        mpfr_init(r16947);
        mpfr_init_set_str(r16948, "0", 10, MPFR_RNDN);
        mpfr_init(r16949);
}

double f_fm(double alpha, double beta, double i) {
        mpfr_set_d(r16924, beta, MPFR_RNDN);
        ;
        mpfr_set_si(r16926, mpfr_cmp(r16924, r16925) <= 0, MPFR_RNDN);
        mpfr_set_d(r16927, i, MPFR_RNDN);
        mpfr_set_d(r16928, alpha, MPFR_RNDN);
        mpfr_add(r16929, r16927, r16928, MPFR_RNDN);
        mpfr_add(r16930, r16924, r16929, MPFR_RNDN);
        mpfr_mul(r16931, r16927, r16930, MPFR_RNDN);
        mpfr_sqrt(r16932, r16931, MPFR_RNDN);
        mpfr_add(r16933, r16924, r16928, MPFR_RNDN);
        ;
        mpfr_mul(r16935, r16934, r16927, MPFR_RNDN);
        mpfr_add(r16936, r16933, r16935, MPFR_RNDN);
        mpfr_mul(r16937, r16928, r16924, MPFR_RNDN);
        mpfr_add(r16938, r16937, r16931, MPFR_RNDN);
        mpfr_sqrt(r16939, r16938, MPFR_RNDN);
        mpfr_div(r16940, r16936, r16939, MPFR_RNDN);
        mpfr_div(r16941, r16932, r16940, MPFR_RNDN);
        mpfr_sqr(r16942, r16936, MPFR_RNDN);
        ;
        mpfr_sub(r16944, r16942, r16943, MPFR_RNDN);
        mpfr_sqrt(r16945, r16944, MPFR_RNDN);
        mpfr_div(r16946, r16941, r16945, MPFR_RNDN);
        mpfr_sqr(r16947, r16946, MPFR_RNDN);
        ;
        if (mpfr_get_si(r16926, MPFR_RNDN)) { mpfr_set(r16949, r16947, MPFR_RNDN); } else { mpfr_set(r16949, r16948, MPFR_RNDN); };
        return mpfr_get_d(r16949, MPFR_RNDN);
}

static mpfr_t r16950, r16951, r16952, r16953, r16954, r16955, r16956, r16957, r16958, r16959, r16960, r16961, r16962, r16963, r16964, r16965, r16966, r16967, r16968, r16969, r16970, r16971, r16972, r16973, r16974, r16975;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16950);
        mpfr_init_set_str(r16951, "1.6334032f+19", 10, MPFR_RNDN);
        mpfr_init(r16952);
        mpfr_init(r16953);
        mpfr_init(r16954);
        mpfr_init(r16955);
        mpfr_init(r16956);
        mpfr_init(r16957);
        mpfr_init(r16958);
        mpfr_init(r16959);
        mpfr_init_set_str(r16960, "2", 10, MPFR_RNDN);
        mpfr_init(r16961);
        mpfr_init(r16962);
        mpfr_init(r16963);
        mpfr_init(r16964);
        mpfr_init(r16965);
        mpfr_init(r16966);
        mpfr_init(r16967);
        mpfr_init(r16968);
        mpfr_init_set_str(r16969, "1.0", 10, MPFR_RNDN);
        mpfr_init(r16970);
        mpfr_init(r16971);
        mpfr_init(r16972);
        mpfr_init(r16973);
        mpfr_init_set_str(r16974, "0", 10, MPFR_RNDN);
        mpfr_init(r16975);
}

double f_dm(double alpha, double beta, double i) {
        mpfr_set_d(r16950, beta, MPFR_RNDN);
        ;
        mpfr_set_si(r16952, mpfr_cmp(r16950, r16951) <= 0, MPFR_RNDN);
        mpfr_set_d(r16953, i, MPFR_RNDN);
        mpfr_set_d(r16954, alpha, MPFR_RNDN);
        mpfr_add(r16955, r16953, r16954, MPFR_RNDN);
        mpfr_add(r16956, r16950, r16955, MPFR_RNDN);
        mpfr_mul(r16957, r16953, r16956, MPFR_RNDN);
        mpfr_sqrt(r16958, r16957, MPFR_RNDN);
        mpfr_add(r16959, r16950, r16954, MPFR_RNDN);
        ;
        mpfr_mul(r16961, r16960, r16953, MPFR_RNDN);
        mpfr_add(r16962, r16959, r16961, MPFR_RNDN);
        mpfr_mul(r16963, r16954, r16950, MPFR_RNDN);
        mpfr_add(r16964, r16963, r16957, MPFR_RNDN);
        mpfr_sqrt(r16965, r16964, MPFR_RNDN);
        mpfr_div(r16966, r16962, r16965, MPFR_RNDN);
        mpfr_div(r16967, r16958, r16966, MPFR_RNDN);
        mpfr_sqr(r16968, r16962, MPFR_RNDN);
        ;
        mpfr_sub(r16970, r16968, r16969, MPFR_RNDN);
        mpfr_sqrt(r16971, r16970, MPFR_RNDN);
        mpfr_div(r16972, r16967, r16971, MPFR_RNDN);
        mpfr_sqr(r16973, r16972, MPFR_RNDN);
        ;
        if (mpfr_get_si(r16952, MPFR_RNDN)) { mpfr_set(r16975, r16973, MPFR_RNDN); } else { mpfr_set(r16975, r16974, MPFR_RNDN); };
        return mpfr_get_d(r16975, MPFR_RNDN);
}