#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 r22835 = th;
        float r22836 = cos(r22835);
        float r22837 = 2;
        float r22838 = sqrt(r22837);
        float r22839 = r22836 / r22838;
        float r22840 = a1;
        float r22841 = r22840 * r22840;
        float r22842 = r22839 * r22841;
        float r22843 = a2;
        float r22844 = r22843 * r22843;
        float r22845 = r22839 * r22844;
        float r22846 = r22842 + r22845;
        return r22846;
}

double f_id(double a1, double a2, double th) {
        double r22847 = th;
        double r22848 = cos(r22847);
        double r22849 = 2;
        double r22850 = sqrt(r22849);
        double r22851 = r22848 / r22850;
        double r22852 = a1;
        double r22853 = r22852 * r22852;
        double r22854 = r22851 * r22853;
        double r22855 = a2;
        double r22856 = r22855 * r22855;
        double r22857 = r22851 * r22856;
        double r22858 = r22854 + r22857;
        return r22858;
}


double f_of(float a1, float a2, float th) {
        float r22859 = th;
        float r22860 = cos(r22859);
        float r22861 = 2;
        float r22862 = sqrt(r22861);
        float r22863 = r22860 / r22862;
        float r22864 = a1;
        float r22865 = r22864 * r22864;
        float r22866 = r22863 * r22865;
        float r22867 = a2;
        float r22868 = r22867 * r22867;
        float r22869 = r22868 / r22862;
        float r22870 = r22860 * r22869;
        float r22871 = r22866 + r22870;
        return r22871;
}

double f_od(double a1, double a2, double th) {
        double r22872 = th;
        double r22873 = cos(r22872);
        double r22874 = 2;
        double r22875 = sqrt(r22874);
        double r22876 = r22873 / r22875;
        double r22877 = a1;
        double r22878 = r22877 * r22877;
        double r22879 = r22876 * r22878;
        double r22880 = a2;
        double r22881 = r22880 * r22880;
        double r22882 = r22881 / r22875;
        double r22883 = r22873 * r22882;
        double r22884 = r22879 + r22883;
        return r22884;
}

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 r22885, r22886, r22887, r22888, r22889, r22890, r22891, r22892, r22893, r22894, r22895, r22896;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r22885);
        mpfr_init(r22886);
        mpfr_init_set_str(r22887, "2", 10, MPFR_RNDN);
        mpfr_init(r22888);
        mpfr_init(r22889);
        mpfr_init(r22890);
        mpfr_init(r22891);
        mpfr_init(r22892);
        mpfr_init(r22893);
        mpfr_init(r22894);
        mpfr_init(r22895);
        mpfr_init(r22896);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22885, th, MPFR_RNDN);
        mpfr_cos(r22886, r22885, MPFR_RNDN);
        ;
        mpfr_sqrt(r22888, r22887, MPFR_RNDN);
        mpfr_div(r22889, r22886, r22888, MPFR_RNDN);
        mpfr_set_d(r22890, a1, MPFR_RNDN);
        mpfr_mul(r22891, r22890, r22890, MPFR_RNDN);
        mpfr_mul(r22892, r22889, r22891, MPFR_RNDN);
        mpfr_set_d(r22893, a2, MPFR_RNDN);
        mpfr_mul(r22894, r22893, r22893, MPFR_RNDN);
        mpfr_mul(r22895, r22889, r22894, MPFR_RNDN);
        mpfr_add(r22896, r22892, r22895, MPFR_RNDN);
        return mpfr_get_d(r22896, MPFR_RNDN);
}

static mpfr_t r22897, r22898, r22899, r22900, r22901, r22902, r22903, r22904, r22905, r22906, r22907, r22908, r22909;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22897);
        mpfr_init(r22898);
        mpfr_init_set_str(r22899, "2", 10, MPFR_RNDN);
        mpfr_init(r22900);
        mpfr_init(r22901);
        mpfr_init(r22902);
        mpfr_init(r22903);
        mpfr_init(r22904);
        mpfr_init(r22905);
        mpfr_init(r22906);
        mpfr_init(r22907);
        mpfr_init(r22908);
        mpfr_init(r22909);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r22897, th, MPFR_RNDN);
        mpfr_cos(r22898, r22897, MPFR_RNDN);
        ;
        mpfr_sqrt(r22900, r22899, MPFR_RNDN);
        mpfr_div(r22901, r22898, r22900, MPFR_RNDN);
        mpfr_set_d(r22902, a1, MPFR_RNDN);
        mpfr_mul(r22903, r22902, r22902, MPFR_RNDN);
        mpfr_mul(r22904, r22901, r22903, MPFR_RNDN);
        mpfr_set_d(r22905, a2, MPFR_RNDN);
        mpfr_mul(r22906, r22905, r22905, MPFR_RNDN);
        mpfr_div(r22907, r22906, r22900, MPFR_RNDN);
        mpfr_mul(r22908, r22898, r22907, MPFR_RNDN);
        mpfr_add(r22909, r22904, r22908, MPFR_RNDN);
        return mpfr_get_d(r22909, MPFR_RNDN);
}

static mpfr_t r22910, r22911, r22912, r22913, r22914, r22915, r22916, r22917, r22918, r22919, r22920, r22921, r22922;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22910);
        mpfr_init(r22911);
        mpfr_init_set_str(r22912, "2", 10, MPFR_RNDN);
        mpfr_init(r22913);
        mpfr_init(r22914);
        mpfr_init(r22915);
        mpfr_init(r22916);
        mpfr_init(r22917);
        mpfr_init(r22918);
        mpfr_init(r22919);
        mpfr_init(r22920);
        mpfr_init(r22921);
        mpfr_init(r22922);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r22910, th, MPFR_RNDN);
        mpfr_cos(r22911, r22910, MPFR_RNDN);
        ;
        mpfr_sqrt(r22913, r22912, MPFR_RNDN);
        mpfr_div(r22914, r22911, r22913, MPFR_RNDN);
        mpfr_set_d(r22915, a1, MPFR_RNDN);
        mpfr_mul(r22916, r22915, r22915, MPFR_RNDN);
        mpfr_mul(r22917, r22914, r22916, MPFR_RNDN);
        mpfr_set_d(r22918, a2, MPFR_RNDN);
        mpfr_mul(r22919, r22918, r22918, MPFR_RNDN);
        mpfr_div(r22920, r22919, r22913, MPFR_RNDN);
        mpfr_mul(r22921, r22911, r22920, MPFR_RNDN);
        mpfr_add(r22922, r22917, r22921, MPFR_RNDN);
        return mpfr_get_d(r22922, MPFR_RNDN);
}