#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 r16837 = i;
        float r16838 = alpha;
        float r16839 = beta;
        float r16840 = r16838 + r16839;
        float r16841 = r16840 + r16837;
        float r16842 = r16837 * r16841;
        float r16843 = r16839 * r16838;
        float r16844 = r16843 + r16842;
        float r16845 = r16842 * r16844;
        float r16846 = 2.0f;
        float r16847 = r16846 * r16837;
        float r16848 = r16840 + r16847;
        float r16849 = r16848 * r16848;
        float r16850 = r16845 / r16849;
        float r16851 = 1.0f;
        float r16852 = r16849 - r16851;
        float r16853 = r16850 / r16852;
        return r16853;
}

double f_id(double alpha, double beta, double i) {
        double r16854 = i;
        double r16855 = alpha;
        double r16856 = beta;
        double r16857 = r16855 + r16856;
        double r16858 = r16857 + r16854;
        double r16859 = r16854 * r16858;
        double r16860 = r16856 * r16855;
        double r16861 = r16860 + r16859;
        double r16862 = r16859 * r16861;
        double r16863 = 2.0;
        double r16864 = r16863 * r16854;
        double r16865 = r16857 + r16864;
        double r16866 = r16865 * r16865;
        double r16867 = r16862 / r16866;
        double r16868 = 1.0;
        double r16869 = r16866 - r16868;
        double r16870 = r16867 / r16869;
        return r16870;
}


double f_of(float alpha, float beta, float i) {
        float r16871 = i;
        float r16872 = beta;
        float r16873 = alpha;
        float r16874 = r16871 + r16873;
        float r16875 = r16872 + r16874;
        float r16876 = r16871 * r16875;
        float r16877 = r16872 + r16873;
        float r16878 = 2.0f;
        float r16879 = r16878 * r16871;
        float r16880 = r16877 + r16879;
        float r16881 = r16873 * r16872;
        float r16882 = r16881 + r16876;
        float r16883 = sqrt(r16882);
        float r16884 = r16880 / r16883;
        float r16885 = r16884 * r16884;
        float r16886 = r16876 / r16885;
        float r16887 = r16880 * r16880;
        float r16888 = 1.0f;
        float r16889 = r16887 - r16888;
        float r16890 = r16886 / r16889;
        return r16890;
}

double f_od(double alpha, double beta, double i) {
        double r16891 = i;
        double r16892 = beta;
        double r16893 = alpha;
        double r16894 = r16891 + r16893;
        double r16895 = r16892 + r16894;
        double r16896 = r16891 * r16895;
        double r16897 = r16892 + r16893;
        double r16898 = 2.0;
        double r16899 = r16898 * r16891;
        double r16900 = r16897 + r16899;
        double r16901 = r16893 * r16892;
        double r16902 = r16901 + r16896;
        double r16903 = sqrt(r16902);
        double r16904 = r16900 / r16903;
        double r16905 = r16904 * r16904;
        double r16906 = r16896 / r16905;
        double r16907 = r16900 * r16900;
        double r16908 = 1.0;
        double r16909 = r16907 - r16908;
        double r16910 = r16906 / r16909;
        return r16910;
}

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 r16911, r16912, r16913, r16914, r16915, r16916, r16917, r16918, r16919, r16920, r16921, r16922, r16923, r16924, r16925, r16926, r16927;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16911);
        mpfr_init(r16912);
        mpfr_init(r16913);
        mpfr_init(r16914);
        mpfr_init(r16915);
        mpfr_init(r16916);
        mpfr_init(r16917);
        mpfr_init(r16918);
        mpfr_init(r16919);
        mpfr_init_set_str(r16920, "2", 10, MPFR_RNDN);
        mpfr_init(r16921);
        mpfr_init(r16922);
        mpfr_init(r16923);
        mpfr_init(r16924);
        mpfr_init_set_str(r16925, "1.0", 10, MPFR_RNDN);
        mpfr_init(r16926);
        mpfr_init(r16927);
}

double f_im(double alpha, double beta, double i) {
        mpfr_set_d(r16911, i, MPFR_RNDN);
        mpfr_set_d(r16912, alpha, MPFR_RNDN);
        mpfr_set_d(r16913, beta, MPFR_RNDN);
        mpfr_add(r16914, r16912, r16913, MPFR_RNDN);
        mpfr_add(r16915, r16914, r16911, MPFR_RNDN);
        mpfr_mul(r16916, r16911, r16915, MPFR_RNDN);
        mpfr_mul(r16917, r16913, r16912, MPFR_RNDN);
        mpfr_add(r16918, r16917, r16916, MPFR_RNDN);
        mpfr_mul(r16919, r16916, r16918, MPFR_RNDN);
        ;
        mpfr_mul(r16921, r16920, r16911, MPFR_RNDN);
        mpfr_add(r16922, r16914, r16921, MPFR_RNDN);
        mpfr_mul(r16923, r16922, r16922, MPFR_RNDN);
        mpfr_div(r16924, r16919, r16923, MPFR_RNDN);
        ;
        mpfr_sub(r16926, r16923, r16925, MPFR_RNDN);
        mpfr_div(r16927, r16924, r16926, MPFR_RNDN);
        return mpfr_get_d(r16927, MPFR_RNDN);
}

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

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16928);
        mpfr_init(r16929);
        mpfr_init(r16930);
        mpfr_init(r16931);
        mpfr_init(r16932);
        mpfr_init(r16933);
        mpfr_init(r16934);
        mpfr_init_set_str(r16935, "2", 10, MPFR_RNDN);
        mpfr_init(r16936);
        mpfr_init(r16937);
        mpfr_init(r16938);
        mpfr_init(r16939);
        mpfr_init(r16940);
        mpfr_init(r16941);
        mpfr_init(r16942);
        mpfr_init(r16943);
        mpfr_init(r16944);
        mpfr_init_set_str(r16945, "1.0", 10, MPFR_RNDN);
        mpfr_init(r16946);
        mpfr_init(r16947);
}

double f_fm(double alpha, double beta, double i) {
        mpfr_set_d(r16928, i, MPFR_RNDN);
        mpfr_set_d(r16929, beta, MPFR_RNDN);
        mpfr_set_d(r16930, alpha, MPFR_RNDN);
        mpfr_add(r16931, r16928, r16930, MPFR_RNDN);
        mpfr_add(r16932, r16929, r16931, MPFR_RNDN);
        mpfr_mul(r16933, r16928, r16932, MPFR_RNDN);
        mpfr_add(r16934, r16929, r16930, MPFR_RNDN);
        ;
        mpfr_mul(r16936, r16935, r16928, MPFR_RNDN);
        mpfr_add(r16937, r16934, r16936, MPFR_RNDN);
        mpfr_mul(r16938, r16930, r16929, MPFR_RNDN);
        mpfr_add(r16939, r16938, r16933, MPFR_RNDN);
        mpfr_sqrt(r16940, r16939, MPFR_RNDN);
        mpfr_div(r16941, r16937, r16940, MPFR_RNDN);
        mpfr_sqr(r16942, r16941, MPFR_RNDN);
        mpfr_div(r16943, r16933, r16942, MPFR_RNDN);
        mpfr_sqr(r16944, r16937, MPFR_RNDN);
        ;
        mpfr_sub(r16946, r16944, r16945, MPFR_RNDN);
        mpfr_div(r16947, r16943, r16946, MPFR_RNDN);
        return mpfr_get_d(r16947, MPFR_RNDN);
}

static mpfr_t r16948, r16949, r16950, r16951, r16952, r16953, r16954, r16955, r16956, r16957, r16958, r16959, r16960, r16961, r16962, r16963, r16964, r16965, r16966, r16967;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16948);
        mpfr_init(r16949);
        mpfr_init(r16950);
        mpfr_init(r16951);
        mpfr_init(r16952);
        mpfr_init(r16953);
        mpfr_init(r16954);
        mpfr_init_set_str(r16955, "2", 10, MPFR_RNDN);
        mpfr_init(r16956);
        mpfr_init(r16957);
        mpfr_init(r16958);
        mpfr_init(r16959);
        mpfr_init(r16960);
        mpfr_init(r16961);
        mpfr_init(r16962);
        mpfr_init(r16963);
        mpfr_init(r16964);
        mpfr_init_set_str(r16965, "1.0", 10, MPFR_RNDN);
        mpfr_init(r16966);
        mpfr_init(r16967);
}

double f_dm(double alpha, double beta, double i) {
        mpfr_set_d(r16948, i, MPFR_RNDN);
        mpfr_set_d(r16949, beta, MPFR_RNDN);
        mpfr_set_d(r16950, alpha, MPFR_RNDN);
        mpfr_add(r16951, r16948, r16950, MPFR_RNDN);
        mpfr_add(r16952, r16949, r16951, MPFR_RNDN);
        mpfr_mul(r16953, r16948, r16952, MPFR_RNDN);
        mpfr_add(r16954, r16949, r16950, MPFR_RNDN);
        ;
        mpfr_mul(r16956, r16955, r16948, MPFR_RNDN);
        mpfr_add(r16957, r16954, r16956, MPFR_RNDN);
        mpfr_mul(r16958, r16950, r16949, MPFR_RNDN);
        mpfr_add(r16959, r16958, r16953, MPFR_RNDN);
        mpfr_sqrt(r16960, r16959, MPFR_RNDN);
        mpfr_div(r16961, r16957, r16960, MPFR_RNDN);
        mpfr_sqr(r16962, r16961, MPFR_RNDN);
        mpfr_div(r16963, r16953, r16962, MPFR_RNDN);
        mpfr_sqr(r16964, r16957, MPFR_RNDN);
        ;
        mpfr_sub(r16966, r16964, r16965, MPFR_RNDN);
        mpfr_div(r16967, r16963, r16966, MPFR_RNDN);
        return mpfr_get_d(r16967, MPFR_RNDN);
}

