#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 r22875 = th;
        float r22876 = cos(r22875);
        float r22877 = 2;
        float r22878 = sqrt(r22877);
        float r22879 = r22876 / r22878;
        float r22880 = a1;
        float r22881 = r22880 * r22880;
        float r22882 = r22879 * r22881;
        float r22883 = a2;
        float r22884 = r22883 * r22883;
        float r22885 = r22879 * r22884;
        float r22886 = r22882 + r22885;
        return r22886;
}

double f_id(double a1, double a2, double th) {
        double r22887 = th;
        double r22888 = cos(r22887);
        double r22889 = 2;
        double r22890 = sqrt(r22889);
        double r22891 = r22888 / r22890;
        double r22892 = a1;
        double r22893 = r22892 * r22892;
        double r22894 = r22891 * r22893;
        double r22895 = a2;
        double r22896 = r22895 * r22895;
        double r22897 = r22891 * r22896;
        double r22898 = r22894 + r22897;
        return r22898;
}


double f_of(float a1, float a2, float th) {
        float r22899 = a1;
        float r22900 = a2;
        float r22901 = hypot(r22899, r22900);
        float r22902 = th;
        float r22903 = cos(r22902);
        float r22904 = r22901 * r22903;
        float r22905 = 2;
        float r22906 = sqrt(r22905);
        float r22907 = r22904 / r22906;
        float r22908 = r22907 * r22901;
        return r22908;
}

double f_od(double a1, double a2, double th) {
        double r22909 = a1;
        double r22910 = a2;
        double r22911 = hypot(r22909, r22910);
        double r22912 = th;
        double r22913 = cos(r22912);
        double r22914 = r22911 * r22913;
        double r22915 = 2;
        double r22916 = sqrt(r22915);
        double r22917 = r22914 / r22916;
        double r22918 = r22917 * r22911;
        return r22918;
}

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 r22919, r22920, r22921, r22922, r22923, r22924, r22925, r22926, r22927, r22928, r22929, r22930;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        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);
        mpfr_init(r22928);
        mpfr_init(r22929);
        mpfr_init(r22930);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22919, th, MPFR_RNDN);
        mpfr_cos(r22920, r22919, MPFR_RNDN);
        ;
        mpfr_sqrt(r22922, r22921, MPFR_RNDN);
        mpfr_div(r22923, r22920, r22922, MPFR_RNDN);
        mpfr_set_d(r22924, a1, MPFR_RNDN);
        mpfr_mul(r22925, r22924, r22924, MPFR_RNDN);
        mpfr_mul(r22926, r22923, r22925, MPFR_RNDN);
        mpfr_set_d(r22927, a2, MPFR_RNDN);
        mpfr_mul(r22928, r22927, r22927, MPFR_RNDN);
        mpfr_mul(r22929, r22923, r22928, MPFR_RNDN);
        mpfr_add(r22930, r22926, r22929, MPFR_RNDN);
        return mpfr_get_d(r22930, MPFR_RNDN);
}

static mpfr_t r22931, r22932, r22933, r22934, r22935, r22936, r22937, r22938, r22939, r22940;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22931);
        mpfr_init(r22932);
        mpfr_init(r22933);
        mpfr_init(r22934);
        mpfr_init(r22935);
        mpfr_init(r22936);
        mpfr_init_set_str(r22937, "2", 10, MPFR_RNDN);
        mpfr_init(r22938);
        mpfr_init(r22939);
        mpfr_init(r22940);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r22931, a1, MPFR_RNDN);
        mpfr_set_d(r22932, a2, MPFR_RNDN);
        mpfr_hypot(r22933, r22931, r22932, MPFR_RNDN);
        mpfr_set_d(r22934, th, MPFR_RNDN);
        mpfr_cos(r22935, r22934, MPFR_RNDN);
        mpfr_mul(r22936, r22933, r22935, MPFR_RNDN);
        ;
        mpfr_sqrt(r22938, r22937, MPFR_RNDN);
        mpfr_div(r22939, r22936, r22938, MPFR_RNDN);
        mpfr_mul(r22940, r22939, r22933, MPFR_RNDN);
        return mpfr_get_d(r22940, MPFR_RNDN);
}

static mpfr_t r22941, r22942, r22943, r22944, r22945, r22946, r22947, r22948, r22949, r22950;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22941);
        mpfr_init(r22942);
        mpfr_init(r22943);
        mpfr_init(r22944);
        mpfr_init(r22945);
        mpfr_init(r22946);
        mpfr_init_set_str(r22947, "2", 10, MPFR_RNDN);
        mpfr_init(r22948);
        mpfr_init(r22949);
        mpfr_init(r22950);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r22941, a1, MPFR_RNDN);
        mpfr_set_d(r22942, a2, MPFR_RNDN);
        mpfr_hypot(r22943, r22941, r22942, MPFR_RNDN);
        mpfr_set_d(r22944, th, MPFR_RNDN);
        mpfr_cos(r22945, r22944, MPFR_RNDN);
        mpfr_mul(r22946, r22943, r22945, MPFR_RNDN);
        ;
        mpfr_sqrt(r22948, r22947, MPFR_RNDN);
        mpfr_div(r22949, r22946, r22948, MPFR_RNDN);
        mpfr_mul(r22950, r22949, r22943, MPFR_RNDN);
        return mpfr_get_d(r22950, MPFR_RNDN);
}