#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 r23228 = 1;
        float r23229 = k;
        float r23230 = sqrt(r23229);
        float r23231 = r23228 / r23230;
        float r23232 = 2;
        float r23233 = atan2(1.0, 0.0);
        float r23234 = r23232 * r23233;
        float r23235 = n;
        float r23236 = r23234 * r23235;
        float r23237 = r23228 - r23229;
        float r23238 = r23237 / r23232;
        float r23239 = pow(r23236, r23238);
        float r23240 = r23231 * r23239;
        return r23240;
}

double f_id(double k, double n) {
        double r23241 = 1;
        double r23242 = k;
        double r23243 = sqrt(r23242);
        double r23244 = r23241 / r23243;
        double r23245 = 2;
        double r23246 = atan2(1.0, 0.0);
        double r23247 = r23245 * r23246;
        double r23248 = n;
        double r23249 = r23247 * r23248;
        double r23250 = r23241 - r23242;
        double r23251 = r23250 / r23245;
        double r23252 = pow(r23249, r23251);
        double r23253 = r23244 * r23252;
        return r23253;
}


double f_of(float k, float n) {
        float r23254 = n;
        float r23255 = 1;
        float r23256 = 2;
        float r23257 = r23255 / r23256;
        float r23258 = pow(r23254, r23257);
        float r23259 = k;
        float r23260 = r23259 / r23256;
        float r23261 = pow(r23254, r23260);
        float r23262 = r23258 / r23261;
        float r23263 = atan2(1.0, 0.0);
        float r23264 = r23263 * r23256;
        float r23265 = r23255 - r23259;
        float r23266 = r23265 / r23256;
        float r23267 = pow(r23264, r23266);
        float r23268 = sqrt(r23259);
        float r23269 = r23267 / r23268;
        float r23270 = r23262 * r23269;
        return r23270;
}

double f_od(double k, double n) {
        double r23271 = n;
        double r23272 = 1;
        double r23273 = 2;
        double r23274 = r23272 / r23273;
        double r23275 = pow(r23271, r23274);
        double r23276 = k;
        double r23277 = r23276 / r23273;
        double r23278 = pow(r23271, r23277);
        double r23279 = r23275 / r23278;
        double r23280 = atan2(1.0, 0.0);
        double r23281 = r23280 * r23273;
        double r23282 = r23272 - r23276;
        double r23283 = r23282 / r23273;
        double r23284 = pow(r23281, r23283);
        double r23285 = sqrt(r23276);
        double r23286 = r23284 / r23285;
        double r23287 = r23279 * r23286;
        return r23287;
}

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 r23288, r23289, r23290, r23291, r23292, r23293, r23294, r23295, r23296, r23297, r23298, r23299, r23300;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r23288, "1", 10, MPFR_RNDN);
        mpfr_init(r23289);
        mpfr_init(r23290);
        mpfr_init(r23291);
        mpfr_init_set_str(r23292, "2", 10, MPFR_RNDN);
        mpfr_init(r23293);
        mpfr_init(r23294);
        mpfr_init(r23295);
        mpfr_init(r23296);
        mpfr_init(r23297);
        mpfr_init(r23298);
        mpfr_init(r23299);
        mpfr_init(r23300);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r23289, k, MPFR_RNDN);
        mpfr_sqrt(r23290, r23289, MPFR_RNDN);
        mpfr_div(r23291, r23288, r23290, MPFR_RNDN);
        ;
        mpfr_const_pi(r23293, MPFR_RNDN);
        mpfr_mul(r23294, r23292, r23293, MPFR_RNDN);
        mpfr_set_d(r23295, n, MPFR_RNDN);
        mpfr_mul(r23296, r23294, r23295, MPFR_RNDN);
        mpfr_sub(r23297, r23288, r23289, MPFR_RNDN);
        mpfr_div(r23298, r23297, r23292, MPFR_RNDN);
        mpfr_pow(r23299, r23296, r23298, MPFR_RNDN);
        mpfr_mul(r23300, r23291, r23299, MPFR_RNDN);
        return mpfr_get_d(r23300, MPFR_RNDN);
}

static mpfr_t r23301, r23302, r23303, r23304, r23305, r23306, r23307, r23308, r23309, r23310, r23311, r23312, r23313, r23314, r23315, r23316, r23317;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23301);
        mpfr_init_set_str(r23302, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r23303, "2", 10, MPFR_RNDN);
        mpfr_init(r23304);
        mpfr_init(r23305);
        mpfr_init(r23306);
        mpfr_init(r23307);
        mpfr_init(r23308);
        mpfr_init(r23309);
        mpfr_init(r23310);
        mpfr_init(r23311);
        mpfr_init(r23312);
        mpfr_init(r23313);
        mpfr_init(r23314);
        mpfr_init(r23315);
        mpfr_init(r23316);
        mpfr_init(r23317);
}

double f_fm(double k, double n) {
        mpfr_set_d(r23301, n, MPFR_RNDN);
        ;
        ;
        mpfr_div(r23304, r23302, r23303, MPFR_RNDN);
        mpfr_pow(r23305, r23301, r23304, MPFR_RNDN);
        mpfr_set_d(r23306, k, MPFR_RNDN);
        mpfr_div(r23307, r23306, r23303, MPFR_RNDN);
        mpfr_pow(r23308, r23301, r23307, MPFR_RNDN);
        mpfr_div(r23309, r23305, r23308, MPFR_RNDN);
        mpfr_const_pi(r23310, MPFR_RNDN);
        mpfr_mul(r23311, r23310, r23303, MPFR_RNDN);
        mpfr_sub(r23312, r23302, r23306, MPFR_RNDN);
        mpfr_div(r23313, r23312, r23303, MPFR_RNDN);
        mpfr_pow(r23314, r23311, r23313, MPFR_RNDN);
        mpfr_sqrt(r23315, r23306, MPFR_RNDN);
        mpfr_div(r23316, r23314, r23315, MPFR_RNDN);
        mpfr_mul(r23317, r23309, r23316, MPFR_RNDN);
        return mpfr_get_d(r23317, MPFR_RNDN);
}

static mpfr_t r23318, r23319, r23320, r23321, r23322, r23323, r23324, r23325, r23326, r23327, r23328, r23329, r23330, r23331, r23332, r23333, r23334;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23318);
        mpfr_init_set_str(r23319, "1", 10, MPFR_RNDN);
        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);
        mpfr_init(r23329);
        mpfr_init(r23330);
        mpfr_init(r23331);
        mpfr_init(r23332);
        mpfr_init(r23333);
        mpfr_init(r23334);
}

double f_dm(double k, double n) {
        mpfr_set_d(r23318, n, MPFR_RNDN);
        ;
        ;
        mpfr_div(r23321, r23319, r23320, MPFR_RNDN);
        mpfr_pow(r23322, r23318, r23321, MPFR_RNDN);
        mpfr_set_d(r23323, k, MPFR_RNDN);
        mpfr_div(r23324, r23323, r23320, MPFR_RNDN);
        mpfr_pow(r23325, r23318, r23324, MPFR_RNDN);
        mpfr_div(r23326, r23322, r23325, MPFR_RNDN);
        mpfr_const_pi(r23327, MPFR_RNDN);
        mpfr_mul(r23328, r23327, r23320, MPFR_RNDN);
        mpfr_sub(r23329, r23319, r23323, MPFR_RNDN);
        mpfr_div(r23330, r23329, r23320, MPFR_RNDN);
        mpfr_pow(r23331, r23328, r23330, MPFR_RNDN);
        mpfr_sqrt(r23332, r23323, MPFR_RNDN);
        mpfr_div(r23333, r23331, r23332, MPFR_RNDN);
        mpfr_mul(r23334, r23326, r23333, MPFR_RNDN);
        return mpfr_get_d(r23334, MPFR_RNDN);
}

