#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 r22880 = th;
        float r22881 = cos(r22880);
        float r22882 = 2;
        float r22883 = sqrt(r22882);
        float r22884 = r22881 / r22883;
        float r22885 = a1;
        float r22886 = r22885 * r22885;
        float r22887 = r22884 * r22886;
        float r22888 = a2;
        float r22889 = r22888 * r22888;
        float r22890 = r22884 * r22889;
        float r22891 = r22887 + r22890;
        return r22891;
}

double f_id(double a1, double a2, double th) {
        double r22892 = th;
        double r22893 = cos(r22892);
        double r22894 = 2;
        double r22895 = sqrt(r22894);
        double r22896 = r22893 / r22895;
        double r22897 = a1;
        double r22898 = r22897 * r22897;
        double r22899 = r22896 * r22898;
        double r22900 = a2;
        double r22901 = r22900 * r22900;
        double r22902 = r22896 * r22901;
        double r22903 = r22899 + r22902;
        return r22903;
}


double f_of(float a1, float a2, float th) {
        float r22904 = a1;
        float r22905 = a2;
        float r22906 = hypot(r22904, r22905);
        float r22907 = th;
        float r22908 = cos(r22907);
        float r22909 = r22906 * r22908;
        float r22910 = 2;
        float r22911 = sqrt(r22910);
        float r22912 = r22909 / r22911;
        float r22913 = r22912 * r22906;
        return r22913;
}

double f_od(double a1, double a2, double th) {
        double r22914 = a1;
        double r22915 = a2;
        double r22916 = hypot(r22914, r22915);
        double r22917 = th;
        double r22918 = cos(r22917);
        double r22919 = r22916 * r22918;
        double r22920 = 2;
        double r22921 = sqrt(r22920);
        double r22922 = r22919 / r22921;
        double r22923 = r22922 * r22916;
        return r22923;
}

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 r22924, r22925, r22926, r22927, r22928, r22929, r22930, r22931, r22932, r22933, r22934, r22935;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r22924);
        mpfr_init(r22925);
        mpfr_init_set_str(r22926, "2", 10, MPFR_RNDN);
        mpfr_init(r22927);
        mpfr_init(r22928);
        mpfr_init(r22929);
        mpfr_init(r22930);
        mpfr_init(r22931);
        mpfr_init(r22932);
        mpfr_init(r22933);
        mpfr_init(r22934);
        mpfr_init(r22935);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22924, th, MPFR_RNDN);
        mpfr_cos(r22925, r22924, MPFR_RNDN);
        ;
        mpfr_sqrt(r22927, r22926, MPFR_RNDN);
        mpfr_div(r22928, r22925, r22927, MPFR_RNDN);
        mpfr_set_d(r22929, a1, MPFR_RNDN);
        mpfr_mul(r22930, r22929, r22929, MPFR_RNDN);
        mpfr_mul(r22931, r22928, r22930, MPFR_RNDN);
        mpfr_set_d(r22932, a2, MPFR_RNDN);
        mpfr_mul(r22933, r22932, r22932, MPFR_RNDN);
        mpfr_mul(r22934, r22928, r22933, MPFR_RNDN);
        mpfr_add(r22935, r22931, r22934, MPFR_RNDN);
        return mpfr_get_d(r22935, MPFR_RNDN);
}

static mpfr_t r22936, r22937, r22938, r22939, r22940, r22941, r22942, r22943, r22944, r22945;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22936);
        mpfr_init(r22937);
        mpfr_init(r22938);
        mpfr_init(r22939);
        mpfr_init(r22940);
        mpfr_init(r22941);
        mpfr_init_set_str(r22942, "2", 10, MPFR_RNDN);
        mpfr_init(r22943);
        mpfr_init(r22944);
        mpfr_init(r22945);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r22936, a1, MPFR_RNDN);
        mpfr_set_d(r22937, a2, MPFR_RNDN);
        mpfr_hypot(r22938, r22936, r22937, MPFR_RNDN);
        mpfr_set_d(r22939, th, MPFR_RNDN);
        mpfr_cos(r22940, r22939, MPFR_RNDN);
        mpfr_mul(r22941, r22938, r22940, MPFR_RNDN);
        ;
        mpfr_sqrt(r22943, r22942, MPFR_RNDN);
        mpfr_div(r22944, r22941, r22943, MPFR_RNDN);
        mpfr_mul(r22945, r22944, r22938, MPFR_RNDN);
        return mpfr_get_d(r22945, MPFR_RNDN);
}

static mpfr_t r22946, r22947, r22948, r22949, r22950, r22951, r22952, r22953, r22954, r22955;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22946);
        mpfr_init(r22947);
        mpfr_init(r22948);
        mpfr_init(r22949);
        mpfr_init(r22950);
        mpfr_init(r22951);
        mpfr_init_set_str(r22952, "2", 10, MPFR_RNDN);
        mpfr_init(r22953);
        mpfr_init(r22954);
        mpfr_init(r22955);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r22946, a1, MPFR_RNDN);
        mpfr_set_d(r22947, a2, MPFR_RNDN);
        mpfr_hypot(r22948, r22946, r22947, MPFR_RNDN);
        mpfr_set_d(r22949, th, MPFR_RNDN);
        mpfr_cos(r22950, r22949, MPFR_RNDN);
        mpfr_mul(r22951, r22948, r22950, MPFR_RNDN);
        ;
        mpfr_sqrt(r22953, r22952, MPFR_RNDN);
        mpfr_div(r22954, r22951, r22953, MPFR_RNDN);
        mpfr_mul(r22955, r22954, r22948, MPFR_RNDN);
        return mpfr_get_d(r22955, MPFR_RNDN);
}