#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 r23299 = 1;
        float r23300 = k;
        float r23301 = sqrt(r23300);
        float r23302 = r23299 / r23301;
        float r23303 = 2;
        float r23304 = atan2(1.0, 0.0);
        float r23305 = r23303 * r23304;
        float r23306 = n;
        float r23307 = r23305 * r23306;
        float r23308 = r23299 - r23300;
        float r23309 = r23308 / r23303;
        float r23310 = pow(r23307, r23309);
        float r23311 = r23302 * r23310;
        return r23311;
}

double f_id(double k, double n) {
        double r23312 = 1;
        double r23313 = k;
        double r23314 = sqrt(r23313);
        double r23315 = r23312 / r23314;
        double r23316 = 2;
        double r23317 = atan2(1.0, 0.0);
        double r23318 = r23316 * r23317;
        double r23319 = n;
        double r23320 = r23318 * r23319;
        double r23321 = r23312 - r23313;
        double r23322 = r23321 / r23316;
        double r23323 = pow(r23320, r23322);
        double r23324 = r23315 * r23323;
        return r23324;
}


double f_of(float k, float n) {
        float r23325 = n;
        float r23326 = 1;
        float r23327 = 2;
        float r23328 = r23326 / r23327;
        float r23329 = pow(r23325, r23328);
        float r23330 = atan2(1.0, 0.0);
        float r23331 = r23330 * r23327;
        float r23332 = sqrt(r23328);
        float r23333 = pow(r23331, r23332);
        float r23334 = pow(r23333, r23332);
        float r23335 = r23329 * r23334;
        float r23336 = r23325 * r23331;
        float r23337 = k;
        float r23338 = r23337 / r23327;
        float r23339 = pow(r23336, r23338);
        float r23340 = r23335 / r23339;
        float r23341 = sqrt(r23337);
        float r23342 = r23340 / r23341;
        return r23342;
}

double f_od(double k, double n) {
        double r23343 = n;
        double r23344 = 1;
        double r23345 = 2;
        double r23346 = r23344 / r23345;
        double r23347 = pow(r23343, r23346);
        double r23348 = atan2(1.0, 0.0);
        double r23349 = r23348 * r23345;
        double r23350 = sqrt(r23346);
        double r23351 = pow(r23349, r23350);
        double r23352 = pow(r23351, r23350);
        double r23353 = r23347 * r23352;
        double r23354 = r23343 * r23349;
        double r23355 = k;
        double r23356 = r23355 / r23345;
        double r23357 = pow(r23354, r23356);
        double r23358 = r23353 / r23357;
        double r23359 = sqrt(r23355);
        double r23360 = r23358 / r23359;
        return r23360;
}

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 r23361, r23362, r23363, r23364, r23365, r23366, r23367, r23368, r23369, r23370, r23371, r23372, r23373;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r23361, "1", 10, MPFR_RNDN);
        mpfr_init(r23362);
        mpfr_init(r23363);
        mpfr_init(r23364);
        mpfr_init_set_str(r23365, "2", 10, MPFR_RNDN);
        mpfr_init(r23366);
        mpfr_init(r23367);
        mpfr_init(r23368);
        mpfr_init(r23369);
        mpfr_init(r23370);
        mpfr_init(r23371);
        mpfr_init(r23372);
        mpfr_init(r23373);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r23362, k, MPFR_RNDN);
        mpfr_sqrt(r23363, r23362, MPFR_RNDN);
        mpfr_div(r23364, r23361, r23363, MPFR_RNDN);
        ;
        mpfr_const_pi(r23366, MPFR_RNDN);
        mpfr_mul(r23367, r23365, r23366, MPFR_RNDN);
        mpfr_set_d(r23368, n, MPFR_RNDN);
        mpfr_mul(r23369, r23367, r23368, MPFR_RNDN);
        mpfr_sub(r23370, r23361, r23362, MPFR_RNDN);
        mpfr_div(r23371, r23370, r23365, MPFR_RNDN);
        mpfr_pow(r23372, r23369, r23371, MPFR_RNDN);
        mpfr_mul(r23373, r23364, r23372, MPFR_RNDN);
        return mpfr_get_d(r23373, MPFR_RNDN);
}

static mpfr_t r23374, r23375, r23376, r23377, r23378, r23379, r23380, r23381, r23382, r23383, r23384, r23385, r23386, r23387, r23388, r23389, r23390, r23391;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23374);
        mpfr_init_set_str(r23375, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r23376, "2", 10, MPFR_RNDN);
        mpfr_init(r23377);
        mpfr_init(r23378);
        mpfr_init(r23379);
        mpfr_init(r23380);
        mpfr_init(r23381);
        mpfr_init(r23382);
        mpfr_init(r23383);
        mpfr_init(r23384);
        mpfr_init(r23385);
        mpfr_init(r23386);
        mpfr_init(r23387);
        mpfr_init(r23388);
        mpfr_init(r23389);
        mpfr_init(r23390);
        mpfr_init(r23391);
}

double f_fm(double k, double n) {
        mpfr_set_d(r23374, n, MPFR_RNDN);
        ;
        ;
        mpfr_div(r23377, r23375, r23376, MPFR_RNDN);
        mpfr_pow(r23378, r23374, r23377, MPFR_RNDN);
        mpfr_const_pi(r23379, MPFR_RNDN);
        mpfr_mul(r23380, r23379, r23376, MPFR_RNDN);
        mpfr_sqrt(r23381, r23377, MPFR_RNDN);
        mpfr_pow(r23382, r23380, r23381, MPFR_RNDN);
        mpfr_pow(r23383, r23382, r23381, MPFR_RNDN);
        mpfr_mul(r23384, r23378, r23383, MPFR_RNDN);
        mpfr_mul(r23385, r23374, r23380, MPFR_RNDN);
        mpfr_set_d(r23386, k, MPFR_RNDN);
        mpfr_div(r23387, r23386, r23376, MPFR_RNDN);
        mpfr_pow(r23388, r23385, r23387, MPFR_RNDN);
        mpfr_div(r23389, r23384, r23388, MPFR_RNDN);
        mpfr_sqrt(r23390, r23386, MPFR_RNDN);
        mpfr_div(r23391, r23389, r23390, MPFR_RNDN);
        return mpfr_get_d(r23391, MPFR_RNDN);
}

static mpfr_t r23392, r23393, r23394, r23395, r23396, r23397, r23398, r23399, r23400, r23401, r23402, r23403, r23404, r23405, r23406, r23407, r23408, r23409;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23392);
        mpfr_init_set_str(r23393, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r23394, "2", 10, MPFR_RNDN);
        mpfr_init(r23395);
        mpfr_init(r23396);
        mpfr_init(r23397);
        mpfr_init(r23398);
        mpfr_init(r23399);
        mpfr_init(r23400);
        mpfr_init(r23401);
        mpfr_init(r23402);
        mpfr_init(r23403);
        mpfr_init(r23404);
        mpfr_init(r23405);
        mpfr_init(r23406);
        mpfr_init(r23407);
        mpfr_init(r23408);
        mpfr_init(r23409);
}

double f_dm(double k, double n) {
        mpfr_set_d(r23392, n, MPFR_RNDN);
        ;
        ;
        mpfr_div(r23395, r23393, r23394, MPFR_RNDN);
        mpfr_pow(r23396, r23392, r23395, MPFR_RNDN);
        mpfr_const_pi(r23397, MPFR_RNDN);
        mpfr_mul(r23398, r23397, r23394, MPFR_RNDN);
        mpfr_sqrt(r23399, r23395, MPFR_RNDN);
        mpfr_pow(r23400, r23398, r23399, MPFR_RNDN);
        mpfr_pow(r23401, r23400, r23399, MPFR_RNDN);
        mpfr_mul(r23402, r23396, r23401, MPFR_RNDN);
        mpfr_mul(r23403, r23392, r23398, MPFR_RNDN);
        mpfr_set_d(r23404, k, MPFR_RNDN);
        mpfr_div(r23405, r23404, r23394, MPFR_RNDN);
        mpfr_pow(r23406, r23403, r23405, MPFR_RNDN);
        mpfr_div(r23407, r23402, r23406, MPFR_RNDN);
        mpfr_sqrt(r23408, r23404, MPFR_RNDN);
        mpfr_div(r23409, r23407, r23408, MPFR_RNDN);
        return mpfr_get_d(r23409, MPFR_RNDN);
}

