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

char *name = "Migdal et al, Equation (64)";

double f_if(float a1, float a2, float th) {
        float r22852 = th;
        float r22853 = cos(r22852);
        float r22854 = 2;
        float r22855 = sqrt(r22854);
        float r22856 = r22853 / r22855;
        float r22857 = a1;
        float r22858 = r22857 * r22857;
        float r22859 = r22856 * r22858;
        float r22860 = a2;
        float r22861 = r22860 * r22860;
        float r22862 = r22856 * r22861;
        float r22863 = r22859 + r22862;
        return r22863;
}

double f_id(double a1, double a2, double th) {
        double r22864 = th;
        double r22865 = cos(r22864);
        double r22866 = 2;
        double r22867 = sqrt(r22866);
        double r22868 = r22865 / r22867;
        double r22869 = a1;
        double r22870 = r22869 * r22869;
        double r22871 = r22868 * r22870;
        double r22872 = a2;
        double r22873 = r22872 * r22872;
        double r22874 = r22868 * r22873;
        double r22875 = r22871 + r22874;
        return r22875;
}


double f_of(float a1, float a2, float th) {
        float r22876 = th;
        float r22877 = cos(r22876);
        float r22878 = 2;
        float r22879 = sqrt(r22878);
        float r22880 = r22877 / r22879;
        float r22881 = a1;
        float r22882 = r22881 * r22881;
        float r22883 = r22880 * r22882;
        float r22884 = a2;
        float r22885 = r22880 * r22884;
        float r22886 = r22885 * r22884;
        float r22887 = r22883 + r22886;
        return r22887;
}

double f_od(double a1, double a2, double th) {
        double r22888 = th;
        double r22889 = cos(r22888);
        double r22890 = 2;
        double r22891 = sqrt(r22890);
        double r22892 = r22889 / r22891;
        double r22893 = a1;
        double r22894 = r22893 * r22893;
        double r22895 = r22892 * r22894;
        double r22896 = a2;
        double r22897 = r22892 * r22896;
        double r22898 = r22897 * r22896;
        double r22899 = r22895 + r22898;
        return r22899;
}

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 r22900, r22901, r22902, r22903, r22904, r22905, r22906, r22907, r22908, r22909, r22910, r22911;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r22900);
        mpfr_init(r22901);
        mpfr_init_set_str(r22902, "2", 10, MPFR_RNDN);
        mpfr_init(r22903);
        mpfr_init(r22904);
        mpfr_init(r22905);
        mpfr_init(r22906);
        mpfr_init(r22907);
        mpfr_init(r22908);
        mpfr_init(r22909);
        mpfr_init(r22910);
        mpfr_init(r22911);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22900, th, MPFR_RNDN);
        mpfr_cos(r22901, r22900, MPFR_RNDN);
        ;
        mpfr_sqrt(r22903, r22902, MPFR_RNDN);
        mpfr_div(r22904, r22901, r22903, MPFR_RNDN);
        mpfr_set_d(r22905, a1, MPFR_RNDN);
        mpfr_mul(r22906, r22905, r22905, MPFR_RNDN);
        mpfr_mul(r22907, r22904, r22906, MPFR_RNDN);
        mpfr_set_d(r22908, a2, MPFR_RNDN);
        mpfr_mul(r22909, r22908, r22908, MPFR_RNDN);
        mpfr_mul(r22910, r22904, r22909, MPFR_RNDN);
        mpfr_add(r22911, r22907, r22910, MPFR_RNDN);
        return mpfr_get_d(r22911, MPFR_RNDN);
}

static mpfr_t r22912, r22913, r22914, r22915, r22916, r22917, r22918, r22919, r22920, r22921, r22922, r22923;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22912);
        mpfr_init(r22913);
        mpfr_init_set_str(r22914, "2", 10, MPFR_RNDN);
        mpfr_init(r22915);
        mpfr_init(r22916);
        mpfr_init(r22917);
        mpfr_init(r22918);
        mpfr_init(r22919);
        mpfr_init(r22920);
        mpfr_init(r22921);
        mpfr_init(r22922);
        mpfr_init(r22923);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r22912, th, MPFR_RNDN);
        mpfr_cos(r22913, r22912, MPFR_RNDN);
        ;
        mpfr_sqrt(r22915, r22914, MPFR_RNDN);
        mpfr_div(r22916, r22913, r22915, MPFR_RNDN);
        mpfr_set_d(r22917, a1, MPFR_RNDN);
        mpfr_mul(r22918, r22917, r22917, MPFR_RNDN);
        mpfr_mul(r22919, r22916, r22918, MPFR_RNDN);
        mpfr_set_d(r22920, a2, MPFR_RNDN);
        mpfr_mul(r22921, r22916, r22920, MPFR_RNDN);
        mpfr_mul(r22922, r22921, r22920, MPFR_RNDN);
        mpfr_add(r22923, r22919, r22922, MPFR_RNDN);
        return mpfr_get_d(r22923, MPFR_RNDN);
}

static mpfr_t r22924, r22925, r22926, r22927, r22928, r22929, r22930, r22931, r22932, r22933, r22934, r22935;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22924);
        mpfr_init(r22925);
        mpfr_init_set_str(r22926, "2", 10, MPFR_RNDN);
        mpfr_init(r22927);
        mpfr_init(r22928);
        mpfr_init(r22929);
        mpfr_init(r22930);
        mpfr_init(r22931);
        mpfr_init(r22932);
        mpfr_init(r22933);
        mpfr_init(r22934);
        mpfr_init(r22935);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r22924, th, MPFR_RNDN);
        mpfr_cos(r22925, r22924, MPFR_RNDN);
        ;
        mpfr_sqrt(r22927, r22926, MPFR_RNDN);
        mpfr_div(r22928, r22925, r22927, MPFR_RNDN);
        mpfr_set_d(r22929, a1, MPFR_RNDN);
        mpfr_mul(r22930, r22929, r22929, MPFR_RNDN);
        mpfr_mul(r22931, r22928, r22930, MPFR_RNDN);
        mpfr_set_d(r22932, a2, MPFR_RNDN);
        mpfr_mul(r22933, r22928, r22932, MPFR_RNDN);
        mpfr_mul(r22934, r22933, r22932, MPFR_RNDN);
        mpfr_add(r22935, r22931, r22934, MPFR_RNDN);
        return mpfr_get_d(r22935, MPFR_RNDN);
}