#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 r23262 = 1;
        float r23263 = k;
        float r23264 = sqrt(r23263);
        float r23265 = r23262 / r23264;
        float r23266 = 2;
        float r23267 = atan2(1.0, 0.0);
        float r23268 = r23266 * r23267;
        float r23269 = n;
        float r23270 = r23268 * r23269;
        float r23271 = r23262 - r23263;
        float r23272 = r23271 / r23266;
        float r23273 = pow(r23270, r23272);
        float r23274 = r23265 * r23273;
        return r23274;
}

double f_id(double k, double n) {
        double r23275 = 1;
        double r23276 = k;
        double r23277 = sqrt(r23276);
        double r23278 = r23275 / r23277;
        double r23279 = 2;
        double r23280 = atan2(1.0, 0.0);
        double r23281 = r23279 * r23280;
        double r23282 = n;
        double r23283 = r23281 * r23282;
        double r23284 = r23275 - r23276;
        double r23285 = r23284 / r23279;
        double r23286 = pow(r23283, r23285);
        double r23287 = r23278 * r23286;
        return r23287;
}


double f_of(float k, float n) {
        float r23288 = n;
        float r23289 = atan2(1.0, 0.0);
        float r23290 = 2;
        float r23291 = r23289 * r23290;
        float r23292 = r23288 * r23291;
        float r23293 = 1;
        float r23294 = r23293 / r23290;
        float r23295 = pow(r23292, r23294);
        float r23296 = k;
        float r23297 = r23296 / r23290;
        float r23298 = pow(r23292, r23297);
        float r23299 = r23295 / r23298;
        float r23300 = sqrt(r23296);
        float r23301 = r23299 / r23300;
        return r23301;
}

double f_od(double k, double n) {
        double r23302 = n;
        double r23303 = atan2(1.0, 0.0);
        double r23304 = 2;
        double r23305 = r23303 * r23304;
        double r23306 = r23302 * r23305;
        double r23307 = 1;
        double r23308 = r23307 / r23304;
        double r23309 = pow(r23306, r23308);
        double r23310 = k;
        double r23311 = r23310 / r23304;
        double r23312 = pow(r23306, r23311);
        double r23313 = r23309 / r23312;
        double r23314 = sqrt(r23310);
        double r23315 = r23313 / r23314;
        return r23315;
}

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 r23316, r23317, r23318, r23319, r23320, r23321, r23322, r23323, r23324, r23325, r23326, r23327, r23328;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r23316, "1", 10, MPFR_RNDN);
        mpfr_init(r23317);
        mpfr_init(r23318);
        mpfr_init(r23319);
        mpfr_init_set_str(r23320, "2", 10, MPFR_RNDN);
        mpfr_init(r23321);
        mpfr_init(r23322);
        mpfr_init(r23323);
        mpfr_init(r23324);
        mpfr_init(r23325);
        mpfr_init(r23326);
        mpfr_init(r23327);
        mpfr_init(r23328);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r23317, k, MPFR_RNDN);
        mpfr_sqrt(r23318, r23317, MPFR_RNDN);
        mpfr_div(r23319, r23316, r23318, MPFR_RNDN);
        ;
        mpfr_const_pi(r23321, MPFR_RNDN);
        mpfr_mul(r23322, r23320, r23321, MPFR_RNDN);
        mpfr_set_d(r23323, n, MPFR_RNDN);
        mpfr_mul(r23324, r23322, r23323, MPFR_RNDN);
        mpfr_sub(r23325, r23316, r23317, MPFR_RNDN);
        mpfr_div(r23326, r23325, r23320, MPFR_RNDN);
        mpfr_pow(r23327, r23324, r23326, MPFR_RNDN);
        mpfr_mul(r23328, r23319, r23327, MPFR_RNDN);
        return mpfr_get_d(r23328, MPFR_RNDN);
}

static mpfr_t r23329, r23330, r23331, r23332, r23333, r23334, r23335, r23336, r23337, r23338, r23339, r23340, r23341, r23342;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23329);
        mpfr_init(r23330);
        mpfr_init_set_str(r23331, "2", 10, MPFR_RNDN);
        mpfr_init(r23332);
        mpfr_init(r23333);
        mpfr_init_set_str(r23334, "1", 10, MPFR_RNDN);
        mpfr_init(r23335);
        mpfr_init(r23336);
        mpfr_init(r23337);
        mpfr_init(r23338);
        mpfr_init(r23339);
        mpfr_init(r23340);
        mpfr_init(r23341);
        mpfr_init(r23342);
}

double f_fm(double k, double n) {
        mpfr_set_d(r23329, n, MPFR_RNDN);
        mpfr_const_pi(r23330, MPFR_RNDN);
        ;
        mpfr_mul(r23332, r23330, r23331, MPFR_RNDN);
        mpfr_mul(r23333, r23329, r23332, MPFR_RNDN);
        ;
        mpfr_div(r23335, r23334, r23331, MPFR_RNDN);
        mpfr_pow(r23336, r23333, r23335, MPFR_RNDN);
        mpfr_set_d(r23337, k, MPFR_RNDN);
        mpfr_div(r23338, r23337, r23331, MPFR_RNDN);
        mpfr_pow(r23339, r23333, r23338, MPFR_RNDN);
        mpfr_div(r23340, r23336, r23339, MPFR_RNDN);
        mpfr_sqrt(r23341, r23337, MPFR_RNDN);
        mpfr_div(r23342, r23340, r23341, MPFR_RNDN);
        return mpfr_get_d(r23342, MPFR_RNDN);
}

static mpfr_t r23343, r23344, r23345, r23346, r23347, r23348, r23349, r23350, r23351, r23352, r23353, r23354, r23355, r23356;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23343);
        mpfr_init(r23344);
        mpfr_init_set_str(r23345, "2", 10, MPFR_RNDN);
        mpfr_init(r23346);
        mpfr_init(r23347);
        mpfr_init_set_str(r23348, "1", 10, MPFR_RNDN);
        mpfr_init(r23349);
        mpfr_init(r23350);
        mpfr_init(r23351);
        mpfr_init(r23352);
        mpfr_init(r23353);
        mpfr_init(r23354);
        mpfr_init(r23355);
        mpfr_init(r23356);
}

double f_dm(double k, double n) {
        mpfr_set_d(r23343, n, MPFR_RNDN);
        mpfr_const_pi(r23344, MPFR_RNDN);
        ;
        mpfr_mul(r23346, r23344, r23345, MPFR_RNDN);
        mpfr_mul(r23347, r23343, r23346, MPFR_RNDN);
        ;
        mpfr_div(r23349, r23348, r23345, MPFR_RNDN);
        mpfr_pow(r23350, r23347, r23349, MPFR_RNDN);
        mpfr_set_d(r23351, k, MPFR_RNDN);
        mpfr_div(r23352, r23351, r23345, MPFR_RNDN);
        mpfr_pow(r23353, r23347, r23352, MPFR_RNDN);
        mpfr_div(r23354, r23350, r23353, MPFR_RNDN);
        mpfr_sqrt(r23355, r23351, MPFR_RNDN);
        mpfr_div(r23356, r23354, r23355, MPFR_RNDN);
        return mpfr_get_d(r23356, MPFR_RNDN);
}