#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 r23219 = th;
        float r23220 = cos(r23219);
        float r23221 = 2;
        float r23222 = sqrt(r23221);
        float r23223 = r23220 / r23222;
        float r23224 = a1;
        float r23225 = r23224 * r23224;
        float r23226 = r23223 * r23225;
        float r23227 = a2;
        float r23228 = r23227 * r23227;
        float r23229 = r23223 * r23228;
        float r23230 = r23226 + r23229;
        return r23230;
}

double f_id(double a1, double a2, double th) {
        double r23231 = th;
        double r23232 = cos(r23231);
        double r23233 = 2;
        double r23234 = sqrt(r23233);
        double r23235 = r23232 / r23234;
        double r23236 = a1;
        double r23237 = r23236 * r23236;
        double r23238 = r23235 * r23237;
        double r23239 = a2;
        double r23240 = r23239 * r23239;
        double r23241 = r23235 * r23240;
        double r23242 = r23238 + r23241;
        return r23242;
}


double f_of(float a1, float a2, float th) {
        float r23243 = th;
        float r23244 = cos(r23243);
        float r23245 = a2;
        float r23246 = r23245 * r23245;
        float r23247 = a1;
        float r23248 = r23247 * r23247;
        float r23249 = r23246 + r23248;
        float r23250 = r23244 * r23249;
        float r23251 = 2;
        float r23252 = sqrt(r23251);
        float r23253 = r23250 / r23252;
        return r23253;
}

double f_od(double a1, double a2, double th) {
        double r23254 = th;
        double r23255 = cos(r23254);
        double r23256 = a2;
        double r23257 = r23256 * r23256;
        double r23258 = a1;
        double r23259 = r23258 * r23258;
        double r23260 = r23257 + r23259;
        double r23261 = r23255 * r23260;
        double r23262 = 2;
        double r23263 = sqrt(r23262);
        double r23264 = r23261 / r23263;
        return r23264;
}

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 r23265, r23266, r23267, r23268, r23269, r23270, r23271, r23272, r23273, r23274, r23275, r23276;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r23265);
        mpfr_init(r23266);
        mpfr_init_set_str(r23267, "2", 10, MPFR_RNDN);
        mpfr_init(r23268);
        mpfr_init(r23269);
        mpfr_init(r23270);
        mpfr_init(r23271);
        mpfr_init(r23272);
        mpfr_init(r23273);
        mpfr_init(r23274);
        mpfr_init(r23275);
        mpfr_init(r23276);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r23265, th, MPFR_RNDN);
        mpfr_cos(r23266, r23265, MPFR_RNDN);
        ;
        mpfr_sqrt(r23268, r23267, MPFR_RNDN);
        mpfr_div(r23269, r23266, r23268, MPFR_RNDN);
        mpfr_set_d(r23270, a1, MPFR_RNDN);
        mpfr_mul(r23271, r23270, r23270, MPFR_RNDN);
        mpfr_mul(r23272, r23269, r23271, MPFR_RNDN);
        mpfr_set_d(r23273, a2, MPFR_RNDN);
        mpfr_mul(r23274, r23273, r23273, MPFR_RNDN);
        mpfr_mul(r23275, r23269, r23274, MPFR_RNDN);
        mpfr_add(r23276, r23272, r23275, MPFR_RNDN);
        return mpfr_get_d(r23276, MPFR_RNDN);
}

static mpfr_t r23277, r23278, r23279, r23280, r23281, r23282, r23283, r23284, r23285, r23286, r23287;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r23277);
        mpfr_init(r23278);
        mpfr_init(r23279);
        mpfr_init(r23280);
        mpfr_init(r23281);
        mpfr_init(r23282);
        mpfr_init(r23283);
        mpfr_init(r23284);
        mpfr_init_set_str(r23285, "2", 10, MPFR_RNDN);
        mpfr_init(r23286);
        mpfr_init(r23287);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r23277, th, MPFR_RNDN);
        mpfr_cos(r23278, r23277, MPFR_RNDN);
        mpfr_set_d(r23279, a2, MPFR_RNDN);
        mpfr_mul(r23280, r23279, r23279, MPFR_RNDN);
        mpfr_set_d(r23281, a1, MPFR_RNDN);
        mpfr_mul(r23282, r23281, r23281, MPFR_RNDN);
        mpfr_add(r23283, r23280, r23282, MPFR_RNDN);
        mpfr_mul(r23284, r23278, r23283, MPFR_RNDN);
        ;
        mpfr_sqrt(r23286, r23285, MPFR_RNDN);
        mpfr_div(r23287, r23284, r23286, MPFR_RNDN);
        return mpfr_get_d(r23287, MPFR_RNDN);
}

static mpfr_t r23288, r23289, r23290, r23291, r23292, r23293, r23294, r23295, r23296, r23297, r23298;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r23288);
        mpfr_init(r23289);
        mpfr_init(r23290);
        mpfr_init(r23291);
        mpfr_init(r23292);
        mpfr_init(r23293);
        mpfr_init(r23294);
        mpfr_init(r23295);
        mpfr_init_set_str(r23296, "2", 10, MPFR_RNDN);
        mpfr_init(r23297);
        mpfr_init(r23298);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r23288, th, MPFR_RNDN);
        mpfr_cos(r23289, r23288, MPFR_RNDN);
        mpfr_set_d(r23290, a2, MPFR_RNDN);
        mpfr_mul(r23291, r23290, r23290, MPFR_RNDN);
        mpfr_set_d(r23292, a1, MPFR_RNDN);
        mpfr_mul(r23293, r23292, r23292, MPFR_RNDN);
        mpfr_add(r23294, r23291, r23293, MPFR_RNDN);
        mpfr_mul(r23295, r23289, r23294, MPFR_RNDN);
        ;
        mpfr_sqrt(r23297, r23296, MPFR_RNDN);
        mpfr_div(r23298, r23295, r23297, MPFR_RNDN);
        return mpfr_get_d(r23298, MPFR_RNDN);
}