#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 r16829 = i;
        float r16830 = alpha;
        float r16831 = beta;
        float r16832 = r16830 + r16831;
        float r16833 = r16832 + r16829;
        float r16834 = r16829 * r16833;
        float r16835 = r16831 * r16830;
        float r16836 = r16835 + r16834;
        float r16837 = r16834 * r16836;
        float r16838 = 2.0f;
        float r16839 = r16838 * r16829;
        float r16840 = r16832 + r16839;
        float r16841 = r16840 * r16840;
        float r16842 = r16837 / r16841;
        float r16843 = 1.0f;
        float r16844 = r16841 - r16843;
        float r16845 = r16842 / r16844;
        return r16845;
}

double f_id(double alpha, double beta, double i) {
        double r16846 = i;
        double r16847 = alpha;
        double r16848 = beta;
        double r16849 = r16847 + r16848;
        double r16850 = r16849 + r16846;
        double r16851 = r16846 * r16850;
        double r16852 = r16848 * r16847;
        double r16853 = r16852 + r16851;
        double r16854 = r16851 * r16853;
        double r16855 = 2.0;
        double r16856 = r16855 * r16846;
        double r16857 = r16849 + r16856;
        double r16858 = r16857 * r16857;
        double r16859 = r16854 / r16858;
        double r16860 = 1.0;
        double r16861 = r16858 - r16860;
        double r16862 = r16859 / r16861;
        return r16862;
}


double f_of(float alpha, float beta, float i) {
        float r16863 = i;
        float r16864 = beta;
        float r16865 = alpha;
        float r16866 = r16863 + r16865;
        float r16867 = r16864 + r16866;
        float r16868 = r16863 * r16867;
        float r16869 = sqrt(r16868);
        float r16870 = r16864 + r16865;
        float r16871 = 2.0f;
        float r16872 = r16871 * r16863;
        float r16873 = r16870 + r16872;
        float r16874 = r16873 * r16873;
        float r16875 = r16865 * r16864;
        float r16876 = r16875 + r16868;
        float r16877 = r16874 / r16876;
        float r16878 = sqrt(r16877);
        float r16879 = r16869 / r16878;
        float r16880 = 1.0f;
        float r16881 = r16874 - r16880;
        float r16882 = sqrt(r16881);
        float r16883 = r16879 / r16882;
        float r16884 = r16883 * r16883;
        return r16884;
}

double f_od(double alpha, double beta, double i) {
        double r16885 = i;
        double r16886 = beta;
        double r16887 = alpha;
        double r16888 = r16885 + r16887;
        double r16889 = r16886 + r16888;
        double r16890 = r16885 * r16889;
        double r16891 = sqrt(r16890);
        double r16892 = r16886 + r16887;
        double r16893 = 2.0;
        double r16894 = r16893 * r16885;
        double r16895 = r16892 + r16894;
        double r16896 = r16895 * r16895;
        double r16897 = r16887 * r16886;
        double r16898 = r16897 + r16890;
        double r16899 = r16896 / r16898;
        double r16900 = sqrt(r16899);
        double r16901 = r16891 / r16900;
        double r16902 = 1.0;
        double r16903 = r16896 - r16902;
        double r16904 = sqrt(r16903);
        double r16905 = r16901 / r16904;
        double r16906 = r16905 * 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;

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

double f_fm(double alpha, double beta, double i) {
        mpfr_set_d(r16924, i, MPFR_RNDN);
        mpfr_set_d(r16925, beta, MPFR_RNDN);
        mpfr_set_d(r16926, alpha, MPFR_RNDN);
        mpfr_add(r16927, r16924, r16926, MPFR_RNDN);
        mpfr_add(r16928, r16925, r16927, MPFR_RNDN);
        mpfr_mul(r16929, r16924, r16928, MPFR_RNDN);
        mpfr_sqrt(r16930, r16929, MPFR_RNDN);
        mpfr_add(r16931, r16925, r16926, MPFR_RNDN);
        ;
        mpfr_mul(r16933, r16932, r16924, MPFR_RNDN);
        mpfr_add(r16934, r16931, r16933, MPFR_RNDN);
        mpfr_sqr(r16935, r16934, MPFR_RNDN);
        mpfr_mul(r16936, r16926, r16925, MPFR_RNDN);
        mpfr_add(r16937, r16936, r16929, MPFR_RNDN);
        mpfr_div(r16938, r16935, r16937, MPFR_RNDN);
        mpfr_sqrt(r16939, r16938, MPFR_RNDN);
        mpfr_div(r16940, r16930, r16939, MPFR_RNDN);
        ;
        mpfr_sub(r16942, r16935, r16941, MPFR_RNDN);
        mpfr_sqrt(r16943, r16942, MPFR_RNDN);
        mpfr_div(r16944, r16940, r16943, MPFR_RNDN);
        mpfr_sqr(r16945, r16944, MPFR_RNDN);
        return mpfr_get_d(r16945, MPFR_RNDN);
}

static mpfr_t r16946, r16947, 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(r16946);
        mpfr_init(r16947);
        mpfr_init(r16948);
        mpfr_init(r16949);
        mpfr_init(r16950);
        mpfr_init(r16951);
        mpfr_init(r16952);
        mpfr_init(r16953);
        mpfr_init_set_str(r16954, "2", 10, MPFR_RNDN);
        mpfr_init(r16955);
        mpfr_init(r16956);
        mpfr_init(r16957);
        mpfr_init(r16958);
        mpfr_init(r16959);
        mpfr_init(r16960);
        mpfr_init(r16961);
        mpfr_init(r16962);
        mpfr_init_set_str(r16963, "1.0", 10, MPFR_RNDN);
        mpfr_init(r16964);
        mpfr_init(r16965);
        mpfr_init(r16966);
        mpfr_init(r16967);
}

double f_dm(double alpha, double beta, double i) {
        mpfr_set_d(r16946, i, MPFR_RNDN);
        mpfr_set_d(r16947, beta, MPFR_RNDN);
        mpfr_set_d(r16948, alpha, MPFR_RNDN);
        mpfr_add(r16949, r16946, r16948, MPFR_RNDN);
        mpfr_add(r16950, r16947, r16949, MPFR_RNDN);
        mpfr_mul(r16951, r16946, r16950, MPFR_RNDN);
        mpfr_sqrt(r16952, r16951, MPFR_RNDN);
        mpfr_add(r16953, r16947, r16948, MPFR_RNDN);
        ;
        mpfr_mul(r16955, r16954, r16946, MPFR_RNDN);
        mpfr_add(r16956, r16953, r16955, MPFR_RNDN);
        mpfr_sqr(r16957, r16956, MPFR_RNDN);
        mpfr_mul(r16958, r16948, r16947, MPFR_RNDN);
        mpfr_add(r16959, r16958, r16951, MPFR_RNDN);
        mpfr_div(r16960, r16957, r16959, MPFR_RNDN);
        mpfr_sqrt(r16961, r16960, MPFR_RNDN);
        mpfr_div(r16962, r16952, r16961, MPFR_RNDN);
        ;
        mpfr_sub(r16964, r16957, r16963, MPFR_RNDN);
        mpfr_sqrt(r16965, r16964, MPFR_RNDN);
        mpfr_div(r16966, r16962, r16965, MPFR_RNDN);
        mpfr_sqr(r16967, r16966, MPFR_RNDN);
        return mpfr_get_d(r16967, MPFR_RNDN);
}

