#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 r22820 = th;
        float r22821 = cos(r22820);
        float r22822 = 2;
        float r22823 = sqrt(r22822);
        float r22824 = r22821 / r22823;
        float r22825 = a1;
        float r22826 = r22825 * r22825;
        float r22827 = r22824 * r22826;
        float r22828 = a2;
        float r22829 = r22828 * r22828;
        float r22830 = r22824 * r22829;
        float r22831 = r22827 + r22830;
        return r22831;
}

double f_id(double a1, double a2, double th) {
        double r22832 = th;
        double r22833 = cos(r22832);
        double r22834 = 2;
        double r22835 = sqrt(r22834);
        double r22836 = r22833 / r22835;
        double r22837 = a1;
        double r22838 = r22837 * r22837;
        double r22839 = r22836 * r22838;
        double r22840 = a2;
        double r22841 = r22840 * r22840;
        double r22842 = r22836 * r22841;
        double r22843 = r22839 + r22842;
        return r22843;
}


double f_of(float a1, float a2, float th) {
        float r22844 = th;
        float r22845 = cos(r22844);
        float r22846 = 2;
        float r22847 = sqrt(r22846);
        float r22848 = r22845 / r22847;
        float r22849 = a1;
        float r22850 = r22849 * r22849;
        float r22851 = r22848 * r22850;
        float r22852 = a2;
        float r22853 = r22848 * r22852;
        float r22854 = r22853 * r22852;
        float r22855 = r22851 + r22854;
        return r22855;
}

double f_od(double a1, double a2, double th) {
        double r22856 = th;
        double r22857 = cos(r22856);
        double r22858 = 2;
        double r22859 = sqrt(r22858);
        double r22860 = r22857 / r22859;
        double r22861 = a1;
        double r22862 = r22861 * r22861;
        double r22863 = r22860 * r22862;
        double r22864 = a2;
        double r22865 = r22860 * r22864;
        double r22866 = r22865 * r22864;
        double r22867 = r22863 + r22866;
        return r22867;
}

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 r22868, r22869, r22870, r22871, r22872, r22873, r22874, r22875, r22876, r22877, r22878, r22879;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22868);
        mpfr_init(r22869);
        mpfr_init_set_str(r22870, "2", 10, MPFR_RNDN);
        mpfr_init(r22871);
        mpfr_init(r22872);
        mpfr_init(r22873);
        mpfr_init(r22874);
        mpfr_init(r22875);
        mpfr_init(r22876);
        mpfr_init(r22877);
        mpfr_init(r22878);
        mpfr_init(r22879);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22868, th, MPFR_RNDN);
        mpfr_cos(r22869, r22868, MPFR_RNDN);
        ;
        mpfr_sqrt(r22871, r22870, MPFR_RNDN);
        mpfr_div(r22872, r22869, r22871, MPFR_RNDN);
        mpfr_set_d(r22873, a1, MPFR_RNDN);
        mpfr_mul(r22874, r22873, r22873, MPFR_RNDN);
        mpfr_mul(r22875, r22872, r22874, MPFR_RNDN);
        mpfr_set_d(r22876, a2, MPFR_RNDN);
        mpfr_mul(r22877, r22876, r22876, MPFR_RNDN);
        mpfr_mul(r22878, r22872, r22877, MPFR_RNDN);
        mpfr_add(r22879, r22875, r22878, MPFR_RNDN);
        return mpfr_get_d(r22879, MPFR_RNDN);
}

static mpfr_t r22880, r22881, r22882, r22883, r22884, r22885, r22886, r22887, r22888, r22889, r22890, r22891;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22880);
        mpfr_init(r22881);
        mpfr_init_set_str(r22882, "2", 10, MPFR_RNDN);
        mpfr_init(r22883);
        mpfr_init(r22884);
        mpfr_init(r22885);
        mpfr_init(r22886);
        mpfr_init(r22887);
        mpfr_init(r22888);
        mpfr_init(r22889);
        mpfr_init(r22890);
        mpfr_init(r22891);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r22880, th, MPFR_RNDN);
        mpfr_cos(r22881, r22880, MPFR_RNDN);
        ;
        mpfr_sqrt(r22883, r22882, MPFR_RNDN);
        mpfr_div(r22884, r22881, r22883, MPFR_RNDN);
        mpfr_set_d(r22885, a1, MPFR_RNDN);
        mpfr_mul(r22886, r22885, r22885, MPFR_RNDN);
        mpfr_mul(r22887, r22884, r22886, MPFR_RNDN);
        mpfr_set_d(r22888, a2, MPFR_RNDN);
        mpfr_mul(r22889, r22884, r22888, MPFR_RNDN);
        mpfr_mul(r22890, r22889, r22888, MPFR_RNDN);
        mpfr_add(r22891, r22887, r22890, MPFR_RNDN);
        return mpfr_get_d(r22891, MPFR_RNDN);
}

static mpfr_t r22892, r22893, r22894, r22895, r22896, r22897, r22898, r22899, r22900, r22901, r22902, r22903;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22892);
        mpfr_init(r22893);
        mpfr_init_set_str(r22894, "2", 10, MPFR_RNDN);
        mpfr_init(r22895);
        mpfr_init(r22896);
        mpfr_init(r22897);
        mpfr_init(r22898);
        mpfr_init(r22899);
        mpfr_init(r22900);
        mpfr_init(r22901);
        mpfr_init(r22902);
        mpfr_init(r22903);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r22892, th, MPFR_RNDN);
        mpfr_cos(r22893, r22892, MPFR_RNDN);
        ;
        mpfr_sqrt(r22895, r22894, MPFR_RNDN);
        mpfr_div(r22896, r22893, r22895, MPFR_RNDN);
        mpfr_set_d(r22897, a1, MPFR_RNDN);
        mpfr_mul(r22898, r22897, r22897, MPFR_RNDN);
        mpfr_mul(r22899, r22896, r22898, MPFR_RNDN);
        mpfr_set_d(r22900, a2, MPFR_RNDN);
        mpfr_mul(r22901, r22896, r22900, MPFR_RNDN);
        mpfr_mul(r22902, r22901, r22900, MPFR_RNDN);
        mpfr_add(r22903, r22899, r22902, MPFR_RNDN);
        return mpfr_get_d(r22903, MPFR_RNDN);
}