#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 r22801 = th;
        float r22802 = cos(r22801);
        float r22803 = 2;
        float r22804 = sqrt(r22803);
        float r22805 = r22802 / r22804;
        float r22806 = a1;
        float r22807 = r22806 * r22806;
        float r22808 = r22805 * r22807;
        float r22809 = a2;
        float r22810 = r22809 * r22809;
        float r22811 = r22805 * r22810;
        float r22812 = r22808 + r22811;
        return r22812;
}

double f_id(double a1, double a2, double th) {
        double r22813 = th;
        double r22814 = cos(r22813);
        double r22815 = 2;
        double r22816 = sqrt(r22815);
        double r22817 = r22814 / r22816;
        double r22818 = a1;
        double r22819 = r22818 * r22818;
        double r22820 = r22817 * r22819;
        double r22821 = a2;
        double r22822 = r22821 * r22821;
        double r22823 = r22817 * r22822;
        double r22824 = r22820 + r22823;
        return r22824;
}


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

double f_od(double a1, double a2, double th) {
        double r22836 = th;
        double r22837 = cos(r22836);
        double r22838 = a2;
        double r22839 = r22838 * r22838;
        double r22840 = a1;
        double r22841 = r22840 * r22840;
        double r22842 = r22839 + r22841;
        double r22843 = r22837 * r22842;
        double r22844 = 2;
        double r22845 = sqrt(r22844);
        double r22846 = r22843 / r22845;
        return r22846;
}

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 r22847, r22848, r22849, r22850, r22851, r22852, r22853, r22854, r22855, r22856, r22857, r22858;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22847);
        mpfr_init(r22848);
        mpfr_init_set_str(r22849, "2", 10, MPFR_RNDN);
        mpfr_init(r22850);
        mpfr_init(r22851);
        mpfr_init(r22852);
        mpfr_init(r22853);
        mpfr_init(r22854);
        mpfr_init(r22855);
        mpfr_init(r22856);
        mpfr_init(r22857);
        mpfr_init(r22858);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22847, th, MPFR_RNDN);
        mpfr_cos(r22848, r22847, MPFR_RNDN);
        ;
        mpfr_sqrt(r22850, r22849, MPFR_RNDN);
        mpfr_div(r22851, r22848, r22850, MPFR_RNDN);
        mpfr_set_d(r22852, a1, MPFR_RNDN);
        mpfr_mul(r22853, r22852, r22852, MPFR_RNDN);
        mpfr_mul(r22854, r22851, r22853, MPFR_RNDN);
        mpfr_set_d(r22855, a2, MPFR_RNDN);
        mpfr_mul(r22856, r22855, r22855, MPFR_RNDN);
        mpfr_mul(r22857, r22851, r22856, MPFR_RNDN);
        mpfr_add(r22858, r22854, r22857, MPFR_RNDN);
        return mpfr_get_d(r22858, MPFR_RNDN);
}

static mpfr_t r22859, r22860, r22861, r22862, r22863, r22864, r22865, r22866, r22867, r22868, r22869;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22859);
        mpfr_init(r22860);
        mpfr_init(r22861);
        mpfr_init(r22862);
        mpfr_init(r22863);
        mpfr_init(r22864);
        mpfr_init(r22865);
        mpfr_init(r22866);
        mpfr_init_set_str(r22867, "2", 10, MPFR_RNDN);
        mpfr_init(r22868);
        mpfr_init(r22869);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r22859, th, MPFR_RNDN);
        mpfr_cos(r22860, r22859, MPFR_RNDN);
        mpfr_set_d(r22861, a2, MPFR_RNDN);
        mpfr_mul(r22862, r22861, r22861, MPFR_RNDN);
        mpfr_set_d(r22863, a1, MPFR_RNDN);
        mpfr_mul(r22864, r22863, r22863, MPFR_RNDN);
        mpfr_add(r22865, r22862, r22864, MPFR_RNDN);
        mpfr_mul(r22866, r22860, r22865, MPFR_RNDN);
        ;
        mpfr_sqrt(r22868, r22867, MPFR_RNDN);
        mpfr_div(r22869, r22866, r22868, MPFR_RNDN);
        return mpfr_get_d(r22869, MPFR_RNDN);
}

static mpfr_t r22870, r22871, r22872, r22873, r22874, r22875, r22876, r22877, r22878, r22879, r22880;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22870);
        mpfr_init(r22871);
        mpfr_init(r22872);
        mpfr_init(r22873);
        mpfr_init(r22874);
        mpfr_init(r22875);
        mpfr_init(r22876);
        mpfr_init(r22877);
        mpfr_init_set_str(r22878, "2", 10, MPFR_RNDN);
        mpfr_init(r22879);
        mpfr_init(r22880);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r22870, th, MPFR_RNDN);
        mpfr_cos(r22871, r22870, MPFR_RNDN);
        mpfr_set_d(r22872, a2, MPFR_RNDN);
        mpfr_mul(r22873, r22872, r22872, MPFR_RNDN);
        mpfr_set_d(r22874, a1, MPFR_RNDN);
        mpfr_mul(r22875, r22874, r22874, MPFR_RNDN);
        mpfr_add(r22876, r22873, r22875, MPFR_RNDN);
        mpfr_mul(r22877, r22871, r22876, MPFR_RNDN);
        ;
        mpfr_sqrt(r22879, r22878, MPFR_RNDN);
        mpfr_div(r22880, r22877, r22879, MPFR_RNDN);
        return mpfr_get_d(r22880, MPFR_RNDN);
}