#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 r23235 = 1;
        float r23236 = k;
        float r23237 = sqrt(r23236);
        float r23238 = r23235 / r23237;
        float r23239 = 2;
        float r23240 = atan2(1.0, 0.0);
        float r23241 = r23239 * r23240;
        float r23242 = n;
        float r23243 = r23241 * r23242;
        float r23244 = r23235 - r23236;
        float r23245 = r23244 / r23239;
        float r23246 = pow(r23243, r23245);
        float r23247 = r23238 * r23246;
        return r23247;
}

double f_id(double k, double n) {
        double r23248 = 1;
        double r23249 = k;
        double r23250 = sqrt(r23249);
        double r23251 = r23248 / r23250;
        double r23252 = 2;
        double r23253 = atan2(1.0, 0.0);
        double r23254 = r23252 * r23253;
        double r23255 = n;
        double r23256 = r23254 * r23255;
        double r23257 = r23248 - r23249;
        double r23258 = r23257 / r23252;
        double r23259 = pow(r23256, r23258);
        double r23260 = r23251 * r23259;
        return r23260;
}


double f_of(float k, float n) {
        float r23261 = n;
        float r23262 = atan2(1.0, 0.0);
        float r23263 = 2;
        float r23264 = r23262 * r23263;
        float r23265 = r23261 * r23264;
        float r23266 = 1;
        float r23267 = r23266 / r23263;
        float r23268 = pow(r23265, r23267);
        float r23269 = k;
        float r23270 = sqrt(r23269);
        float r23271 = r23269 / r23263;
        float r23272 = pow(r23265, r23271);
        float r23273 = r23270 * r23272;
        float r23274 = r23268 / r23273;
        return r23274;
}

double f_od(double k, double n) {
        double r23275 = n;
        double r23276 = atan2(1.0, 0.0);
        double r23277 = 2;
        double r23278 = r23276 * r23277;
        double r23279 = r23275 * r23278;
        double r23280 = 1;
        double r23281 = r23280 / r23277;
        double r23282 = pow(r23279, r23281);
        double r23283 = k;
        double r23284 = sqrt(r23283);
        double r23285 = r23283 / r23277;
        double r23286 = pow(r23279, r23285);
        double r23287 = r23284 * r23286;
        double r23288 = r23282 / r23287;
        return r23288;
}

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 r23289, r23290, r23291, r23292, r23293, r23294, r23295, r23296, r23297, r23298, r23299, r23300, r23301;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r23289, "1", 10, MPFR_RNDN);
        mpfr_init(r23290);
        mpfr_init(r23291);
        mpfr_init(r23292);
        mpfr_init_set_str(r23293, "2", 10, MPFR_RNDN);
        mpfr_init(r23294);
        mpfr_init(r23295);
        mpfr_init(r23296);
        mpfr_init(r23297);
        mpfr_init(r23298);
        mpfr_init(r23299);
        mpfr_init(r23300);
        mpfr_init(r23301);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r23290, k, MPFR_RNDN);
        mpfr_sqrt(r23291, r23290, MPFR_RNDN);
        mpfr_div(r23292, r23289, r23291, MPFR_RNDN);
        ;
        mpfr_const_pi(r23294, MPFR_RNDN);
        mpfr_mul(r23295, r23293, r23294, MPFR_RNDN);
        mpfr_set_d(r23296, n, MPFR_RNDN);
        mpfr_mul(r23297, r23295, r23296, MPFR_RNDN);
        mpfr_sub(r23298, r23289, r23290, MPFR_RNDN);
        mpfr_div(r23299, r23298, r23293, MPFR_RNDN);
        mpfr_pow(r23300, r23297, r23299, MPFR_RNDN);
        mpfr_mul(r23301, r23292, r23300, MPFR_RNDN);
        return mpfr_get_d(r23301, MPFR_RNDN);
}

static mpfr_t r23302, r23303, r23304, r23305, r23306, r23307, r23308, r23309, r23310, r23311, r23312, r23313, r23314, r23315;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23302);
        mpfr_init(r23303);
        mpfr_init_set_str(r23304, "2", 10, MPFR_RNDN);
        mpfr_init(r23305);
        mpfr_init(r23306);
        mpfr_init_set_str(r23307, "1", 10, MPFR_RNDN);
        mpfr_init(r23308);
        mpfr_init(r23309);
        mpfr_init(r23310);
        mpfr_init(r23311);
        mpfr_init(r23312);
        mpfr_init(r23313);
        mpfr_init(r23314);
        mpfr_init(r23315);
}

double f_fm(double k, double n) {
        mpfr_set_d(r23302, n, MPFR_RNDN);
        mpfr_const_pi(r23303, MPFR_RNDN);
        ;
        mpfr_mul(r23305, r23303, r23304, MPFR_RNDN);
        mpfr_mul(r23306, r23302, r23305, MPFR_RNDN);
        ;
        mpfr_div(r23308, r23307, r23304, MPFR_RNDN);
        mpfr_pow(r23309, r23306, r23308, MPFR_RNDN);
        mpfr_set_d(r23310, k, MPFR_RNDN);
        mpfr_sqrt(r23311, r23310, MPFR_RNDN);
        mpfr_div(r23312, r23310, r23304, MPFR_RNDN);
        mpfr_pow(r23313, r23306, r23312, MPFR_RNDN);
        mpfr_mul(r23314, r23311, r23313, MPFR_RNDN);
        mpfr_div(r23315, r23309, r23314, MPFR_RNDN);
        return mpfr_get_d(r23315, MPFR_RNDN);
}

static mpfr_t r23316, r23317, r23318, r23319, r23320, r23321, r23322, r23323, r23324, r23325, r23326, r23327, r23328, r23329;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23316);
        mpfr_init(r23317);
        mpfr_init_set_str(r23318, "2", 10, MPFR_RNDN);
        mpfr_init(r23319);
        mpfr_init(r23320);
        mpfr_init_set_str(r23321, "1", 10, MPFR_RNDN);
        mpfr_init(r23322);
        mpfr_init(r23323);
        mpfr_init(r23324);
        mpfr_init(r23325);
        mpfr_init(r23326);
        mpfr_init(r23327);
        mpfr_init(r23328);
        mpfr_init(r23329);
}

double f_dm(double k, double n) {
        mpfr_set_d(r23316, n, MPFR_RNDN);
        mpfr_const_pi(r23317, MPFR_RNDN);
        ;
        mpfr_mul(r23319, r23317, r23318, MPFR_RNDN);
        mpfr_mul(r23320, r23316, r23319, MPFR_RNDN);
        ;
        mpfr_div(r23322, r23321, r23318, MPFR_RNDN);
        mpfr_pow(r23323, r23320, r23322, MPFR_RNDN);
        mpfr_set_d(r23324, k, MPFR_RNDN);
        mpfr_sqrt(r23325, r23324, MPFR_RNDN);
        mpfr_div(r23326, r23324, r23318, MPFR_RNDN);
        mpfr_pow(r23327, r23320, r23326, MPFR_RNDN);
        mpfr_mul(r23328, r23325, r23327, MPFR_RNDN);
        mpfr_div(r23329, r23323, r23328, MPFR_RNDN);
        return mpfr_get_d(r23329, MPFR_RNDN);
}