#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 r23327 = 1;
        float r23328 = k;
        float r23329 = sqrt(r23328);
        float r23330 = r23327 / r23329;
        float r23331 = 2;
        float r23332 = atan2(1.0, 0.0);
        float r23333 = r23331 * r23332;
        float r23334 = n;
        float r23335 = r23333 * r23334;
        float r23336 = r23327 - r23328;
        float r23337 = r23336 / r23331;
        float r23338 = pow(r23335, r23337);
        float r23339 = r23330 * r23338;
        return r23339;
}

double f_id(double k, double n) {
        double r23340 = 1;
        double r23341 = k;
        double r23342 = sqrt(r23341);
        double r23343 = r23340 / r23342;
        double r23344 = 2;
        double r23345 = atan2(1.0, 0.0);
        double r23346 = r23344 * r23345;
        double r23347 = n;
        double r23348 = r23346 * r23347;
        double r23349 = r23340 - r23341;
        double r23350 = r23349 / r23344;
        double r23351 = pow(r23348, r23350);
        double r23352 = r23343 * r23351;
        return r23352;
}


double f_of(float k, float n) {
        float r23353 = k;
        float r23354 = 1/2;
        float r23355 = -r23354;
        float r23356 = pow(r23353, r23355);
        float r23357 = 2;
        float r23358 = atan2(1.0, 0.0);
        float r23359 = r23357 * r23358;
        float r23360 = n;
        float r23361 = r23359 * r23360;
        float r23362 = 1;
        float r23363 = r23362 - r23353;
        float r23364 = r23363 / r23357;
        float r23365 = pow(r23361, r23364);
        float r23366 = r23356 * r23365;
        return r23366;
}

double f_od(double k, double n) {
        double r23367 = k;
        double r23368 = 1/2;
        double r23369 = -r23368;
        double r23370 = pow(r23367, r23369);
        double r23371 = 2;
        double r23372 = atan2(1.0, 0.0);
        double r23373 = r23371 * r23372;
        double r23374 = n;
        double r23375 = r23373 * r23374;
        double r23376 = 1;
        double r23377 = r23376 - r23367;
        double r23378 = r23377 / r23371;
        double r23379 = pow(r23375, r23378);
        double r23380 = r23370 * r23379;
        return r23380;
}

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 r23381, r23382, r23383, r23384, r23385, r23386, r23387, r23388, r23389, r23390, r23391, r23392, r23393;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r23381, "1", 10, MPFR_RNDN);
        mpfr_init(r23382);
        mpfr_init(r23383);
        mpfr_init(r23384);
        mpfr_init_set_str(r23385, "2", 10, MPFR_RNDN);
        mpfr_init(r23386);
        mpfr_init(r23387);
        mpfr_init(r23388);
        mpfr_init(r23389);
        mpfr_init(r23390);
        mpfr_init(r23391);
        mpfr_init(r23392);
        mpfr_init(r23393);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r23382, k, MPFR_RNDN);
        mpfr_sqrt(r23383, r23382, MPFR_RNDN);
        mpfr_div(r23384, r23381, r23383, MPFR_RNDN);
        ;
        mpfr_const_pi(r23386, MPFR_RNDN);
        mpfr_mul(r23387, r23385, r23386, MPFR_RNDN);
        mpfr_set_d(r23388, n, MPFR_RNDN);
        mpfr_mul(r23389, r23387, r23388, MPFR_RNDN);
        mpfr_sub(r23390, r23381, r23382, MPFR_RNDN);
        mpfr_div(r23391, r23390, r23385, MPFR_RNDN);
        mpfr_pow(r23392, r23389, r23391, MPFR_RNDN);
        mpfr_mul(r23393, r23384, r23392, MPFR_RNDN);
        return mpfr_get_d(r23393, MPFR_RNDN);
}

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

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23394);
        mpfr_init_set_str(r23395, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23396);
        mpfr_init(r23397);
        mpfr_init_set_str(r23398, "2", 10, MPFR_RNDN);
        mpfr_init(r23399);
        mpfr_init(r23400);
        mpfr_init(r23401);
        mpfr_init(r23402);
        mpfr_init_set_str(r23403, "1", 10, MPFR_RNDN);
        mpfr_init(r23404);
        mpfr_init(r23405);
        mpfr_init(r23406);
        mpfr_init(r23407);
}

double f_fm(double k, double n) {
        mpfr_set_d(r23394, k, MPFR_RNDN);
        ;
        mpfr_neg(r23396, r23395, MPFR_RNDN);
        mpfr_pow(r23397, r23394, r23396, MPFR_RNDN);
        ;
        mpfr_const_pi(r23399, MPFR_RNDN);
        mpfr_mul(r23400, r23398, r23399, MPFR_RNDN);
        mpfr_set_d(r23401, n, MPFR_RNDN);
        mpfr_mul(r23402, r23400, r23401, MPFR_RNDN);
        ;
        mpfr_sub(r23404, r23403, r23394, MPFR_RNDN);
        mpfr_div(r23405, r23404, r23398, MPFR_RNDN);
        mpfr_pow(r23406, r23402, r23405, MPFR_RNDN);
        mpfr_mul(r23407, r23397, r23406, MPFR_RNDN);
        return mpfr_get_d(r23407, MPFR_RNDN);
}

static mpfr_t r23408, r23409, r23410, r23411, r23412, r23413, r23414, r23415, r23416, r23417, r23418, r23419, r23420, r23421;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23408);
        mpfr_init_set_str(r23409, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23410);
        mpfr_init(r23411);
        mpfr_init_set_str(r23412, "2", 10, MPFR_RNDN);
        mpfr_init(r23413);
        mpfr_init(r23414);
        mpfr_init(r23415);
        mpfr_init(r23416);
        mpfr_init_set_str(r23417, "1", 10, MPFR_RNDN);
        mpfr_init(r23418);
        mpfr_init(r23419);
        mpfr_init(r23420);
        mpfr_init(r23421);
}

double f_dm(double k, double n) {
        mpfr_set_d(r23408, k, MPFR_RNDN);
        ;
        mpfr_neg(r23410, r23409, MPFR_RNDN);
        mpfr_pow(r23411, r23408, r23410, MPFR_RNDN);
        ;
        mpfr_const_pi(r23413, MPFR_RNDN);
        mpfr_mul(r23414, r23412, r23413, MPFR_RNDN);
        mpfr_set_d(r23415, n, MPFR_RNDN);
        mpfr_mul(r23416, r23414, r23415, MPFR_RNDN);
        ;
        mpfr_sub(r23418, r23417, r23408, MPFR_RNDN);
        mpfr_div(r23419, r23418, r23412, MPFR_RNDN);
        mpfr_pow(r23420, r23416, r23419, MPFR_RNDN);
        mpfr_mul(r23421, r23411, r23420, MPFR_RNDN);
        return mpfr_get_d(r23421, MPFR_RNDN);
}