#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 r22812 = th;
        float r22813 = cos(r22812);
        float r22814 = 2;
        float r22815 = sqrt(r22814);
        float r22816 = r22813 / r22815;
        float r22817 = a1;
        float r22818 = r22817 * r22817;
        float r22819 = r22816 * r22818;
        float r22820 = a2;
        float r22821 = r22820 * r22820;
        float r22822 = r22816 * r22821;
        float r22823 = r22819 + r22822;
        return r22823;
}

double f_id(double a1, double a2, double th) {
        double r22824 = th;
        double r22825 = cos(r22824);
        double r22826 = 2;
        double r22827 = sqrt(r22826);
        double r22828 = r22825 / r22827;
        double r22829 = a1;
        double r22830 = r22829 * r22829;
        double r22831 = r22828 * r22830;
        double r22832 = a2;
        double r22833 = r22832 * r22832;
        double r22834 = r22828 * r22833;
        double r22835 = r22831 + r22834;
        return r22835;
}


double f_of(float a1, float a2, float th) {
        float r22836 = a1;
        float r22837 = a2;
        float r22838 = hypot(r22836, r22837);
        float r22839 = th;
        float r22840 = cos(r22839);
        float r22841 = r22838 * r22840;
        float r22842 = 2;
        float r22843 = sqrt(r22842);
        float r22844 = r22841 / r22843;
        float r22845 = r22837 * r22837;
        float r22846 = fma(r22836, r22836, r22845);
        float r22847 = sqrt(r22846);
        float r22848 = r22844 * r22847;
        return r22848;
}

double f_od(double a1, double a2, double th) {
        double r22849 = a1;
        double r22850 = a2;
        double r22851 = hypot(r22849, r22850);
        double r22852 = th;
        double r22853 = cos(r22852);
        double r22854 = r22851 * r22853;
        double r22855 = 2;
        double r22856 = sqrt(r22855);
        double r22857 = r22854 / r22856;
        double r22858 = r22850 * r22850;
        double r22859 = fma(r22849, r22849, r22858);
        double r22860 = sqrt(r22859);
        double r22861 = r22857 * r22860;
        return r22861;
}

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 r22862, r22863, r22864, r22865, r22866, r22867, r22868, r22869, r22870, r22871, r22872, r22873;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r22862);
        mpfr_init(r22863);
        mpfr_init_set_str(r22864, "2", 10, MPFR_RNDN);
        mpfr_init(r22865);
        mpfr_init(r22866);
        mpfr_init(r22867);
        mpfr_init(r22868);
        mpfr_init(r22869);
        mpfr_init(r22870);
        mpfr_init(r22871);
        mpfr_init(r22872);
        mpfr_init(r22873);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22862, th, MPFR_RNDN);
        mpfr_cos(r22863, r22862, MPFR_RNDN);
        ;
        mpfr_sqrt(r22865, r22864, MPFR_RNDN);
        mpfr_div(r22866, r22863, r22865, MPFR_RNDN);
        mpfr_set_d(r22867, a1, MPFR_RNDN);
        mpfr_mul(r22868, r22867, r22867, MPFR_RNDN);
        mpfr_mul(r22869, r22866, r22868, MPFR_RNDN);
        mpfr_set_d(r22870, a2, MPFR_RNDN);
        mpfr_mul(r22871, r22870, r22870, MPFR_RNDN);
        mpfr_mul(r22872, r22866, r22871, MPFR_RNDN);
        mpfr_add(r22873, r22869, r22872, MPFR_RNDN);
        return mpfr_get_d(r22873, MPFR_RNDN);
}

static mpfr_t r22874, r22875, r22876, r22877, r22878, r22879, r22880, r22881, r22882, r22883, r22884, r22885, r22886;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22874);
        mpfr_init(r22875);
        mpfr_init(r22876);
        mpfr_init(r22877);
        mpfr_init(r22878);
        mpfr_init(r22879);
        mpfr_init_set_str(r22880, "2", 10, MPFR_RNDN);
        mpfr_init(r22881);
        mpfr_init(r22882);
        mpfr_init(r22883);
        mpfr_init(r22884);
        mpfr_init(r22885);
        mpfr_init(r22886);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r22874, a1, MPFR_RNDN);
        mpfr_set_d(r22875, a2, MPFR_RNDN);
        mpfr_hypot(r22876, r22874, r22875, MPFR_RNDN);
        mpfr_set_d(r22877, th, MPFR_RNDN);
        mpfr_cos(r22878, r22877, MPFR_RNDN);
        mpfr_mul(r22879, r22876, r22878, MPFR_RNDN);
        ;
        mpfr_sqrt(r22881, r22880, MPFR_RNDN);
        mpfr_div(r22882, r22879, r22881, MPFR_RNDN);
        mpfr_mul(r22883, r22875, r22875, MPFR_RNDN);
        mpfr_fma(r22884, r22874, r22874, r22883, MPFR_RNDN);
        mpfr_sqrt(r22885, r22884, MPFR_RNDN);
        mpfr_mul(r22886, r22882, r22885, MPFR_RNDN);
        return mpfr_get_d(r22886, MPFR_RNDN);
}

static mpfr_t r22887, r22888, r22889, r22890, r22891, r22892, r22893, r22894, r22895, r22896, r22897, r22898, r22899;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22887);
        mpfr_init(r22888);
        mpfr_init(r22889);
        mpfr_init(r22890);
        mpfr_init(r22891);
        mpfr_init(r22892);
        mpfr_init_set_str(r22893, "2", 10, MPFR_RNDN);
        mpfr_init(r22894);
        mpfr_init(r22895);
        mpfr_init(r22896);
        mpfr_init(r22897);
        mpfr_init(r22898);
        mpfr_init(r22899);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r22887, a1, MPFR_RNDN);
        mpfr_set_d(r22888, a2, MPFR_RNDN);
        mpfr_hypot(r22889, r22887, r22888, MPFR_RNDN);
        mpfr_set_d(r22890, th, MPFR_RNDN);
        mpfr_cos(r22891, r22890, MPFR_RNDN);
        mpfr_mul(r22892, r22889, r22891, MPFR_RNDN);
        ;
        mpfr_sqrt(r22894, r22893, MPFR_RNDN);
        mpfr_div(r22895, r22892, r22894, MPFR_RNDN);
        mpfr_mul(r22896, r22888, r22888, MPFR_RNDN);
        mpfr_fma(r22897, r22887, r22887, r22896, MPFR_RNDN);
        mpfr_sqrt(r22898, r22897, MPFR_RNDN);
        mpfr_mul(r22899, r22895, r22898, MPFR_RNDN);
        return mpfr_get_d(r22899, MPFR_RNDN);
}