#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 r23237 = 1;
        float r23238 = k;
        float r23239 = sqrt(r23238);
        float r23240 = r23237 / r23239;
        float r23241 = 2;
        float r23242 = atan2(1.0, 0.0);
        float r23243 = r23241 * r23242;
        float r23244 = n;
        float r23245 = r23243 * r23244;
        float r23246 = r23237 - r23238;
        float r23247 = r23246 / r23241;
        float r23248 = pow(r23245, r23247);
        float r23249 = r23240 * r23248;
        return r23249;
}

double f_id(double k, double n) {
        double r23250 = 1;
        double r23251 = k;
        double r23252 = sqrt(r23251);
        double r23253 = r23250 / r23252;
        double r23254 = 2;
        double r23255 = atan2(1.0, 0.0);
        double r23256 = r23254 * r23255;
        double r23257 = n;
        double r23258 = r23256 * r23257;
        double r23259 = r23250 - r23251;
        double r23260 = r23259 / r23254;
        double r23261 = pow(r23258, r23260);
        double r23262 = r23253 * r23261;
        return r23262;
}


double f_of(float k, float n) {
        float r23263 = n;
        float r23264 = 1;
        float r23265 = 2;
        float r23266 = r23264 / r23265;
        float r23267 = pow(r23263, r23266);
        float r23268 = k;
        float r23269 = r23268 / r23265;
        float r23270 = pow(r23263, r23269);
        float r23271 = r23267 / r23270;
        float r23272 = atan2(1.0, 0.0);
        float r23273 = r23272 * r23265;
        float r23274 = r23264 - r23268;
        float r23275 = r23274 / r23265;
        float r23276 = pow(r23273, r23275);
        float r23277 = sqrt(r23268);
        float r23278 = r23276 / r23277;
        float r23279 = r23271 * r23278;
        return r23279;
}

double f_od(double k, double n) {
        double r23280 = n;
        double r23281 = 1;
        double r23282 = 2;
        double r23283 = r23281 / r23282;
        double r23284 = pow(r23280, r23283);
        double r23285 = k;
        double r23286 = r23285 / r23282;
        double r23287 = pow(r23280, r23286);
        double r23288 = r23284 / r23287;
        double r23289 = atan2(1.0, 0.0);
        double r23290 = r23289 * r23282;
        double r23291 = r23281 - r23285;
        double r23292 = r23291 / r23282;
        double r23293 = pow(r23290, r23292);
        double r23294 = sqrt(r23285);
        double r23295 = r23293 / r23294;
        double r23296 = r23288 * r23295;
        return r23296;
}

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 r23297, r23298, r23299, r23300, r23301, r23302, r23303, r23304, r23305, r23306, r23307, r23308, r23309;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r23297, "1", 10, MPFR_RNDN);
        mpfr_init(r23298);
        mpfr_init(r23299);
        mpfr_init(r23300);
        mpfr_init_set_str(r23301, "2", 10, MPFR_RNDN);
        mpfr_init(r23302);
        mpfr_init(r23303);
        mpfr_init(r23304);
        mpfr_init(r23305);
        mpfr_init(r23306);
        mpfr_init(r23307);
        mpfr_init(r23308);
        mpfr_init(r23309);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r23298, k, MPFR_RNDN);
        mpfr_sqrt(r23299, r23298, MPFR_RNDN);
        mpfr_div(r23300, r23297, r23299, MPFR_RNDN);
        ;
        mpfr_const_pi(r23302, MPFR_RNDN);
        mpfr_mul(r23303, r23301, r23302, MPFR_RNDN);
        mpfr_set_d(r23304, n, MPFR_RNDN);
        mpfr_mul(r23305, r23303, r23304, MPFR_RNDN);
        mpfr_sub(r23306, r23297, r23298, MPFR_RNDN);
        mpfr_div(r23307, r23306, r23301, MPFR_RNDN);
        mpfr_pow(r23308, r23305, r23307, MPFR_RNDN);
        mpfr_mul(r23309, r23300, r23308, MPFR_RNDN);
        return mpfr_get_d(r23309, MPFR_RNDN);
}

static mpfr_t r23310, r23311, r23312, r23313, r23314, r23315, r23316, r23317, r23318, r23319, r23320, r23321, r23322, r23323, r23324, r23325, r23326;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23310);
        mpfr_init_set_str(r23311, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r23312, "2", 10, MPFR_RNDN);
        mpfr_init(r23313);
        mpfr_init(r23314);
        mpfr_init(r23315);
        mpfr_init(r23316);
        mpfr_init(r23317);
        mpfr_init(r23318);
        mpfr_init(r23319);
        mpfr_init(r23320);
        mpfr_init(r23321);
        mpfr_init(r23322);
        mpfr_init(r23323);
        mpfr_init(r23324);
        mpfr_init(r23325);
        mpfr_init(r23326);
}

double f_fm(double k, double n) {
        mpfr_set_d(r23310, n, MPFR_RNDN);
        ;
        ;
        mpfr_div(r23313, r23311, r23312, MPFR_RNDN);
        mpfr_pow(r23314, r23310, r23313, MPFR_RNDN);
        mpfr_set_d(r23315, k, MPFR_RNDN);
        mpfr_div(r23316, r23315, r23312, MPFR_RNDN);
        mpfr_pow(r23317, r23310, r23316, MPFR_RNDN);
        mpfr_div(r23318, r23314, r23317, MPFR_RNDN);
        mpfr_const_pi(r23319, MPFR_RNDN);
        mpfr_mul(r23320, r23319, r23312, MPFR_RNDN);
        mpfr_sub(r23321, r23311, r23315, MPFR_RNDN);
        mpfr_div(r23322, r23321, r23312, MPFR_RNDN);
        mpfr_pow(r23323, r23320, r23322, MPFR_RNDN);
        mpfr_sqrt(r23324, r23315, MPFR_RNDN);
        mpfr_div(r23325, r23323, r23324, MPFR_RNDN);
        mpfr_mul(r23326, r23318, r23325, MPFR_RNDN);
        return mpfr_get_d(r23326, MPFR_RNDN);
}

static mpfr_t r23327, r23328, r23329, r23330, r23331, r23332, r23333, r23334, r23335, r23336, r23337, r23338, r23339, r23340, r23341, r23342, r23343;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23327);
        mpfr_init_set_str(r23328, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r23329, "2", 10, MPFR_RNDN);
        mpfr_init(r23330);
        mpfr_init(r23331);
        mpfr_init(r23332);
        mpfr_init(r23333);
        mpfr_init(r23334);
        mpfr_init(r23335);
        mpfr_init(r23336);
        mpfr_init(r23337);
        mpfr_init(r23338);
        mpfr_init(r23339);
        mpfr_init(r23340);
        mpfr_init(r23341);
        mpfr_init(r23342);
        mpfr_init(r23343);
}

double f_dm(double k, double n) {
        mpfr_set_d(r23327, n, MPFR_RNDN);
        ;
        ;
        mpfr_div(r23330, r23328, r23329, MPFR_RNDN);
        mpfr_pow(r23331, r23327, r23330, MPFR_RNDN);
        mpfr_set_d(r23332, k, MPFR_RNDN);
        mpfr_div(r23333, r23332, r23329, MPFR_RNDN);
        mpfr_pow(r23334, r23327, r23333, MPFR_RNDN);
        mpfr_div(r23335, r23331, r23334, MPFR_RNDN);
        mpfr_const_pi(r23336, MPFR_RNDN);
        mpfr_mul(r23337, r23336, r23329, MPFR_RNDN);
        mpfr_sub(r23338, r23328, r23332, MPFR_RNDN);
        mpfr_div(r23339, r23338, r23329, MPFR_RNDN);
        mpfr_pow(r23340, r23337, r23339, MPFR_RNDN);
        mpfr_sqrt(r23341, r23332, MPFR_RNDN);
        mpfr_div(r23342, r23340, r23341, MPFR_RNDN);
        mpfr_mul(r23343, r23335, r23342, MPFR_RNDN);
        return mpfr_get_d(r23343, MPFR_RNDN);
}

