#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Migdal et al, Equation (51)";

double f_if(float k, float n) {
        float r23256 = 1;
        float r23257 = k;
        float r23258 = sqrt(r23257);
        float r23259 = r23256 / r23258;
        float r23260 = 2;
        float r23261 = atan2(1.0, 0.0);
        float r23262 = r23260 * r23261;
        float r23263 = n;
        float r23264 = r23262 * r23263;
        float r23265 = r23256 - r23257;
        float r23266 = r23265 / r23260;
        float r23267 = pow(r23264, r23266);
        float r23268 = r23259 * r23267;
        return r23268;
}

double f_id(double k, double n) {
        double r23269 = 1;
        double r23270 = k;
        double r23271 = sqrt(r23270);
        double r23272 = r23269 / r23271;
        double r23273 = 2;
        double r23274 = atan2(1.0, 0.0);
        double r23275 = r23273 * r23274;
        double r23276 = n;
        double r23277 = r23275 * r23276;
        double r23278 = r23269 - r23270;
        double r23279 = r23278 / r23273;
        double r23280 = pow(r23277, r23279);
        double r23281 = r23272 * r23280;
        return r23281;
}


double f_of(float k, float n) {
        float r23282 = n;
        float r23283 = atan2(1.0, 0.0);
        float r23284 = 2;
        float r23285 = r23283 * r23284;
        float r23286 = r23282 * r23285;
        float r23287 = 1;
        float r23288 = r23287 / r23284;
        float r23289 = pow(r23286, r23288);
        float r23290 = k;
        float r23291 = sqrt(r23290);
        float r23292 = r23290 / r23284;
        float r23293 = pow(r23286, r23292);
        float r23294 = r23291 * r23293;
        float r23295 = r23289 / r23294;
        return r23295;
}

double f_od(double k, double n) {
        double r23296 = n;
        double r23297 = atan2(1.0, 0.0);
        double r23298 = 2;
        double r23299 = r23297 * r23298;
        double r23300 = r23296 * r23299;
        double r23301 = 1;
        double r23302 = r23301 / r23298;
        double r23303 = pow(r23300, r23302);
        double r23304 = k;
        double r23305 = sqrt(r23304);
        double r23306 = r23304 / r23298;
        double r23307 = pow(r23300, r23306);
        double r23308 = r23305 * r23307;
        double r23309 = r23303 / r23308;
        return r23309;
}

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 r23310, r23311, r23312, r23313, r23314, r23315, r23316, r23317, r23318, r23319, r23320, r23321, r23322;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r23310, "1", 10, MPFR_RNDN);
        mpfr_init(r23311);
        mpfr_init(r23312);
        mpfr_init(r23313);
        mpfr_init_set_str(r23314, "2", 10, MPFR_RNDN);
        mpfr_init(r23315);
        mpfr_init(r23316);
        mpfr_init(r23317);
        mpfr_init(r23318);
        mpfr_init(r23319);
        mpfr_init(r23320);
        mpfr_init(r23321);
        mpfr_init(r23322);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r23311, k, MPFR_RNDN);
        mpfr_sqrt(r23312, r23311, MPFR_RNDN);
        mpfr_div(r23313, r23310, r23312, MPFR_RNDN);
        ;
        mpfr_const_pi(r23315, MPFR_RNDN);
        mpfr_mul(r23316, r23314, r23315, MPFR_RNDN);
        mpfr_set_d(r23317, n, MPFR_RNDN);
        mpfr_mul(r23318, r23316, r23317, MPFR_RNDN);
        mpfr_sub(r23319, r23310, r23311, MPFR_RNDN);
        mpfr_div(r23320, r23319, r23314, MPFR_RNDN);
        mpfr_pow(r23321, r23318, r23320, MPFR_RNDN);
        mpfr_mul(r23322, r23313, r23321, MPFR_RNDN);
        return mpfr_get_d(r23322, MPFR_RNDN);
}

static mpfr_t r23323, r23324, r23325, r23326, r23327, r23328, r23329, r23330, r23331, r23332, r23333, r23334, r23335, r23336;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23323);
        mpfr_init(r23324);
        mpfr_init_set_str(r23325, "2", 10, MPFR_RNDN);
        mpfr_init(r23326);
        mpfr_init(r23327);
        mpfr_init_set_str(r23328, "1", 10, MPFR_RNDN);
        mpfr_init(r23329);
        mpfr_init(r23330);
        mpfr_init(r23331);
        mpfr_init(r23332);
        mpfr_init(r23333);
        mpfr_init(r23334);
        mpfr_init(r23335);
        mpfr_init(r23336);
}

double f_fm(double k, double n) {
        mpfr_set_d(r23323, n, MPFR_RNDN);
        mpfr_const_pi(r23324, MPFR_RNDN);
        ;
        mpfr_mul(r23326, r23324, r23325, MPFR_RNDN);
        mpfr_mul(r23327, r23323, r23326, MPFR_RNDN);
        ;
        mpfr_div(r23329, r23328, r23325, MPFR_RNDN);
        mpfr_pow(r23330, r23327, r23329, MPFR_RNDN);
        mpfr_set_d(r23331, k, MPFR_RNDN);
        mpfr_sqrt(r23332, r23331, MPFR_RNDN);
        mpfr_div(r23333, r23331, r23325, MPFR_RNDN);
        mpfr_pow(r23334, r23327, r23333, MPFR_RNDN);
        mpfr_mul(r23335, r23332, r23334, MPFR_RNDN);
        mpfr_div(r23336, r23330, r23335, MPFR_RNDN);
        return mpfr_get_d(r23336, MPFR_RNDN);
}

static mpfr_t r23337, r23338, r23339, r23340, r23341, r23342, r23343, r23344, r23345, r23346, r23347, r23348, r23349, r23350;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23337);
        mpfr_init(r23338);
        mpfr_init_set_str(r23339, "2", 10, MPFR_RNDN);
        mpfr_init(r23340);
        mpfr_init(r23341);
        mpfr_init_set_str(r23342, "1", 10, MPFR_RNDN);
        mpfr_init(r23343);
        mpfr_init(r23344);
        mpfr_init(r23345);
        mpfr_init(r23346);
        mpfr_init(r23347);
        mpfr_init(r23348);
        mpfr_init(r23349);
        mpfr_init(r23350);
}

double f_dm(double k, double n) {
        mpfr_set_d(r23337, n, MPFR_RNDN);
        mpfr_const_pi(r23338, MPFR_RNDN);
        ;
        mpfr_mul(r23340, r23338, r23339, MPFR_RNDN);
        mpfr_mul(r23341, r23337, r23340, MPFR_RNDN);
        ;
        mpfr_div(r23343, r23342, r23339, MPFR_RNDN);
        mpfr_pow(r23344, r23341, r23343, MPFR_RNDN);
        mpfr_set_d(r23345, k, MPFR_RNDN);
        mpfr_sqrt(r23346, r23345, MPFR_RNDN);
        mpfr_div(r23347, r23345, r23339, MPFR_RNDN);
        mpfr_pow(r23348, r23341, r23347, MPFR_RNDN);
        mpfr_mul(r23349, r23346, r23348, MPFR_RNDN);
        mpfr_div(r23350, r23344, r23349, MPFR_RNDN);
        return mpfr_get_d(r23350, MPFR_RNDN);
}