#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 = atan2(1.0, 0.0);
        float r23354 = -2;
        float r23355 = r23353 * r23354;
        float r23356 = -1;
        float r23357 = n;
        float r23358 = r23356 / r23357;
        float r23359 = r23355 / r23358;
        float r23360 = sqrt(r23359);
        float r23361 = k;
        float r23362 = sqrt(r23361);
        float r23363 = r23360 / r23362;
        float r23364 = 2;
        float r23365 = r23364 * r23353;
        float r23366 = r23365 * r23357;
        float r23367 = r23361 / r23364;
        float r23368 = pow(r23366, r23367);
        float r23369 = r23363 / r23368;
        return r23369;
}

double f_od(double k, double n) {
        double r23370 = atan2(1.0, 0.0);
        double r23371 = -2;
        double r23372 = r23370 * r23371;
        double r23373 = -1;
        double r23374 = n;
        double r23375 = r23373 / r23374;
        double r23376 = r23372 / r23375;
        double r23377 = sqrt(r23376);
        double r23378 = k;
        double r23379 = sqrt(r23378);
        double r23380 = r23377 / r23379;
        double r23381 = 2;
        double r23382 = r23381 * r23370;
        double r23383 = r23382 * r23374;
        double r23384 = r23378 / r23381;
        double r23385 = pow(r23383, r23384);
        double r23386 = r23380 / r23385;
        return r23386;
}

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 r23387, r23388, r23389, r23390, r23391, r23392, r23393, r23394, r23395, r23396, r23397, r23398, r23399;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r23387, "1", 10, MPFR_RNDN);
        mpfr_init(r23388);
        mpfr_init(r23389);
        mpfr_init(r23390);
        mpfr_init_set_str(r23391, "2", 10, MPFR_RNDN);
        mpfr_init(r23392);
        mpfr_init(r23393);
        mpfr_init(r23394);
        mpfr_init(r23395);
        mpfr_init(r23396);
        mpfr_init(r23397);
        mpfr_init(r23398);
        mpfr_init(r23399);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r23388, k, MPFR_RNDN);
        mpfr_sqrt(r23389, r23388, MPFR_RNDN);
        mpfr_div(r23390, r23387, r23389, MPFR_RNDN);
        ;
        mpfr_const_pi(r23392, MPFR_RNDN);
        mpfr_mul(r23393, r23391, r23392, MPFR_RNDN);
        mpfr_set_d(r23394, n, MPFR_RNDN);
        mpfr_mul(r23395, r23393, r23394, MPFR_RNDN);
        mpfr_sub(r23396, r23387, r23388, MPFR_RNDN);
        mpfr_div(r23397, r23396, r23391, MPFR_RNDN);
        mpfr_pow(r23398, r23395, r23397, MPFR_RNDN);
        mpfr_mul(r23399, r23390, r23398, MPFR_RNDN);
        return mpfr_get_d(r23399, MPFR_RNDN);
}

static mpfr_t r23400, r23401, r23402, r23403, r23404, r23405, r23406, r23407, r23408, r23409, r23410, r23411, r23412, r23413, r23414, r23415, r23416;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23400);
        mpfr_init_set_str(r23401, "-2", 10, MPFR_RNDN);
        mpfr_init(r23402);
        mpfr_init_set_str(r23403, "-1", 10, MPFR_RNDN);
        mpfr_init(r23404);
        mpfr_init(r23405);
        mpfr_init(r23406);
        mpfr_init(r23407);
        mpfr_init(r23408);
        mpfr_init(r23409);
        mpfr_init(r23410);
        mpfr_init_set_str(r23411, "2", 10, MPFR_RNDN);
        mpfr_init(r23412);
        mpfr_init(r23413);
        mpfr_init(r23414);
        mpfr_init(r23415);
        mpfr_init(r23416);
}

double f_fm(double k, double n) {
        mpfr_const_pi(r23400, MPFR_RNDN);
        ;
        mpfr_mul(r23402, r23400, r23401, MPFR_RNDN);
        ;
        mpfr_set_d(r23404, n, MPFR_RNDN);
        mpfr_div(r23405, r23403, r23404, MPFR_RNDN);
        mpfr_div(r23406, r23402, r23405, MPFR_RNDN);
        mpfr_sqrt(r23407, r23406, MPFR_RNDN);
        mpfr_set_d(r23408, k, MPFR_RNDN);
        mpfr_sqrt(r23409, r23408, MPFR_RNDN);
        mpfr_div(r23410, r23407, r23409, MPFR_RNDN);
        ;
        mpfr_mul(r23412, r23411, r23400, MPFR_RNDN);
        mpfr_mul(r23413, r23412, r23404, MPFR_RNDN);
        mpfr_div(r23414, r23408, r23411, MPFR_RNDN);
        mpfr_pow(r23415, r23413, r23414, MPFR_RNDN);
        mpfr_div(r23416, r23410, r23415, MPFR_RNDN);
        return mpfr_get_d(r23416, MPFR_RNDN);
}

static mpfr_t r23417, r23418, r23419, r23420, r23421, r23422, r23423, r23424, r23425, r23426, r23427, r23428, r23429, r23430, r23431, r23432, r23433;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23417);
        mpfr_init_set_str(r23418, "-2", 10, MPFR_RNDN);
        mpfr_init(r23419);
        mpfr_init_set_str(r23420, "-1", 10, MPFR_RNDN);
        mpfr_init(r23421);
        mpfr_init(r23422);
        mpfr_init(r23423);
        mpfr_init(r23424);
        mpfr_init(r23425);
        mpfr_init(r23426);
        mpfr_init(r23427);
        mpfr_init_set_str(r23428, "2", 10, MPFR_RNDN);
        mpfr_init(r23429);
        mpfr_init(r23430);
        mpfr_init(r23431);
        mpfr_init(r23432);
        mpfr_init(r23433);
}

double f_dm(double k, double n) {
        mpfr_const_pi(r23417, MPFR_RNDN);
        ;
        mpfr_mul(r23419, r23417, r23418, MPFR_RNDN);
        ;
        mpfr_set_d(r23421, n, MPFR_RNDN);
        mpfr_div(r23422, r23420, r23421, MPFR_RNDN);
        mpfr_div(r23423, r23419, r23422, MPFR_RNDN);
        mpfr_sqrt(r23424, r23423, MPFR_RNDN);
        mpfr_set_d(r23425, k, MPFR_RNDN);
        mpfr_sqrt(r23426, r23425, MPFR_RNDN);
        mpfr_div(r23427, r23424, r23426, MPFR_RNDN);
        ;
        mpfr_mul(r23429, r23428, r23417, MPFR_RNDN);
        mpfr_mul(r23430, r23429, r23421, MPFR_RNDN);
        mpfr_div(r23431, r23425, r23428, MPFR_RNDN);
        mpfr_pow(r23432, r23430, r23431, MPFR_RNDN);
        mpfr_div(r23433, r23427, r23432, MPFR_RNDN);
        return mpfr_get_d(r23433, MPFR_RNDN);
}

