#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 r22840 = th;
        float r22841 = cos(r22840);
        float r22842 = 2;
        float r22843 = sqrt(r22842);
        float r22844 = r22841 / r22843;
        float r22845 = a1;
        float r22846 = r22845 * r22845;
        float r22847 = r22844 * r22846;
        float r22848 = a2;
        float r22849 = r22848 * r22848;
        float r22850 = r22844 * r22849;
        float r22851 = r22847 + r22850;
        return r22851;
}

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


double f_of(float a1, float a2, float th) {
        float r22864 = a1;
        float r22865 = a2;
        float r22866 = hypot(r22864, r22865);
        float r22867 = th;
        float r22868 = cos(r22867);
        float r22869 = r22866 * r22868;
        float r22870 = 2;
        float r22871 = sqrt(r22870);
        float r22872 = r22869 / r22871;
        float r22873 = r22865 * r22865;
        float r22874 = fma(r22864, r22864, r22873);
        float r22875 = sqrt(r22874);
        float r22876 = r22872 * r22875;
        return r22876;
}

double f_od(double a1, double a2, double th) {
        double r22877 = a1;
        double r22878 = a2;
        double r22879 = hypot(r22877, r22878);
        double r22880 = th;
        double r22881 = cos(r22880);
        double r22882 = r22879 * r22881;
        double r22883 = 2;
        double r22884 = sqrt(r22883);
        double r22885 = r22882 / r22884;
        double r22886 = r22878 * r22878;
        double r22887 = fma(r22877, r22877, r22886);
        double r22888 = sqrt(r22887);
        double r22889 = r22885 * r22888;
        return r22889;
}

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 r22890, r22891, r22892, r22893, r22894, r22895, r22896, r22897, r22898, r22899, r22900, r22901;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r22890);
        mpfr_init(r22891);
        mpfr_init_set_str(r22892, "2", 10, MPFR_RNDN);
        mpfr_init(r22893);
        mpfr_init(r22894);
        mpfr_init(r22895);
        mpfr_init(r22896);
        mpfr_init(r22897);
        mpfr_init(r22898);
        mpfr_init(r22899);
        mpfr_init(r22900);
        mpfr_init(r22901);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22890, th, MPFR_RNDN);
        mpfr_cos(r22891, r22890, MPFR_RNDN);
        ;
        mpfr_sqrt(r22893, r22892, MPFR_RNDN);
        mpfr_div(r22894, r22891, r22893, MPFR_RNDN);
        mpfr_set_d(r22895, a1, MPFR_RNDN);
        mpfr_mul(r22896, r22895, r22895, MPFR_RNDN);
        mpfr_mul(r22897, r22894, r22896, MPFR_RNDN);
        mpfr_set_d(r22898, a2, MPFR_RNDN);
        mpfr_mul(r22899, r22898, r22898, MPFR_RNDN);
        mpfr_mul(r22900, r22894, r22899, MPFR_RNDN);
        mpfr_add(r22901, r22897, r22900, MPFR_RNDN);
        return mpfr_get_d(r22901, MPFR_RNDN);
}

static mpfr_t r22902, r22903, r22904, r22905, r22906, r22907, r22908, r22909, r22910, r22911, r22912, r22913, r22914;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22902);
        mpfr_init(r22903);
        mpfr_init(r22904);
        mpfr_init(r22905);
        mpfr_init(r22906);
        mpfr_init(r22907);
        mpfr_init_set_str(r22908, "2", 10, MPFR_RNDN);
        mpfr_init(r22909);
        mpfr_init(r22910);
        mpfr_init(r22911);
        mpfr_init(r22912);
        mpfr_init(r22913);
        mpfr_init(r22914);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r22902, a1, MPFR_RNDN);
        mpfr_set_d(r22903, a2, MPFR_RNDN);
        mpfr_hypot(r22904, r22902, r22903, MPFR_RNDN);
        mpfr_set_d(r22905, th, MPFR_RNDN);
        mpfr_cos(r22906, r22905, MPFR_RNDN);
        mpfr_mul(r22907, r22904, r22906, MPFR_RNDN);
        ;
        mpfr_sqrt(r22909, r22908, MPFR_RNDN);
        mpfr_div(r22910, r22907, r22909, MPFR_RNDN);
        mpfr_mul(r22911, r22903, r22903, MPFR_RNDN);
        mpfr_fma(r22912, r22902, r22902, r22911, MPFR_RNDN);
        mpfr_sqrt(r22913, r22912, MPFR_RNDN);
        mpfr_mul(r22914, r22910, r22913, MPFR_RNDN);
        return mpfr_get_d(r22914, MPFR_RNDN);
}

static mpfr_t r22915, r22916, r22917, r22918, r22919, r22920, r22921, r22922, r22923, r22924, r22925, r22926, r22927;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22915);
        mpfr_init(r22916);
        mpfr_init(r22917);
        mpfr_init(r22918);
        mpfr_init(r22919);
        mpfr_init(r22920);
        mpfr_init_set_str(r22921, "2", 10, MPFR_RNDN);
        mpfr_init(r22922);
        mpfr_init(r22923);
        mpfr_init(r22924);
        mpfr_init(r22925);
        mpfr_init(r22926);
        mpfr_init(r22927);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r22915, a1, MPFR_RNDN);
        mpfr_set_d(r22916, a2, MPFR_RNDN);
        mpfr_hypot(r22917, r22915, r22916, MPFR_RNDN);
        mpfr_set_d(r22918, th, MPFR_RNDN);
        mpfr_cos(r22919, r22918, MPFR_RNDN);
        mpfr_mul(r22920, r22917, r22919, MPFR_RNDN);
        ;
        mpfr_sqrt(r22922, r22921, MPFR_RNDN);
        mpfr_div(r22923, r22920, r22922, MPFR_RNDN);
        mpfr_mul(r22924, r22916, r22916, MPFR_RNDN);
        mpfr_fma(r22925, r22915, r22915, r22924, MPFR_RNDN);
        mpfr_sqrt(r22926, r22925, MPFR_RNDN);
        mpfr_mul(r22927, r22923, r22926, MPFR_RNDN);
        return mpfr_get_d(r22927, MPFR_RNDN);
}