#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 r23339 = 1;
        float r23340 = k;
        float r23341 = sqrt(r23340);
        float r23342 = r23339 / r23341;
        float r23343 = 2;
        float r23344 = atan2(1.0, 0.0);
        float r23345 = r23343 * r23344;
        float r23346 = n;
        float r23347 = r23345 * r23346;
        float r23348 = r23339 - r23340;
        float r23349 = r23348 / r23343;
        float r23350 = pow(r23347, r23349);
        float r23351 = r23342 * r23350;
        return r23351;
}

double f_id(double k, double n) {
        double r23352 = 1;
        double r23353 = k;
        double r23354 = sqrt(r23353);
        double r23355 = r23352 / r23354;
        double r23356 = 2;
        double r23357 = atan2(1.0, 0.0);
        double r23358 = r23356 * r23357;
        double r23359 = n;
        double r23360 = r23358 * r23359;
        double r23361 = r23352 - r23353;
        double r23362 = r23361 / r23356;
        double r23363 = pow(r23360, r23362);
        double r23364 = r23355 * r23363;
        return r23364;
}


double f_of(float k, float n) {
        float r23365 = k;
        float r23366 = 1/2;
        float r23367 = -r23366;
        float r23368 = pow(r23365, r23367);
        float r23369 = 2;
        float r23370 = atan2(1.0, 0.0);
        float r23371 = r23369 * r23370;
        float r23372 = n;
        float r23373 = r23371 * r23372;
        float r23374 = 1;
        float r23375 = r23374 / r23369;
        float r23376 = pow(r23373, r23375);
        float r23377 = r23365 / r23369;
        float r23378 = pow(r23373, r23377);
        float r23379 = r23376 / r23378;
        float r23380 = r23368 * r23379;
        return r23380;
}

double f_od(double k, double n) {
        double r23381 = k;
        double r23382 = 1/2;
        double r23383 = -r23382;
        double r23384 = pow(r23381, r23383);
        double r23385 = 2;
        double r23386 = atan2(1.0, 0.0);
        double r23387 = r23385 * r23386;
        double r23388 = n;
        double r23389 = r23387 * r23388;
        double r23390 = 1;
        double r23391 = r23390 / r23385;
        double r23392 = pow(r23389, r23391);
        double r23393 = r23381 / r23385;
        double r23394 = pow(r23389, r23393);
        double r23395 = r23392 / r23394;
        double r23396 = r23384 * r23395;
        return r23396;
}

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 r23397, r23398, r23399, r23400, r23401, r23402, r23403, r23404, r23405, r23406, r23407, r23408, r23409;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r23397, "1", 10, MPFR_RNDN);
        mpfr_init(r23398);
        mpfr_init(r23399);
        mpfr_init(r23400);
        mpfr_init_set_str(r23401, "2", 10, MPFR_RNDN);
        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_im(double k, double n) {
        ;
        mpfr_set_d(r23398, k, MPFR_RNDN);
        mpfr_sqrt(r23399, r23398, MPFR_RNDN);
        mpfr_div(r23400, r23397, r23399, MPFR_RNDN);
        ;
        mpfr_const_pi(r23402, MPFR_RNDN);
        mpfr_mul(r23403, r23401, r23402, MPFR_RNDN);
        mpfr_set_d(r23404, n, MPFR_RNDN);
        mpfr_mul(r23405, r23403, r23404, MPFR_RNDN);
        mpfr_sub(r23406, r23397, r23398, MPFR_RNDN);
        mpfr_div(r23407, r23406, r23401, MPFR_RNDN);
        mpfr_pow(r23408, r23405, r23407, MPFR_RNDN);
        mpfr_mul(r23409, r23400, r23408, MPFR_RNDN);
        return mpfr_get_d(r23409, MPFR_RNDN);
}

static mpfr_t r23410, r23411, r23412, r23413, r23414, r23415, r23416, r23417, r23418, r23419, r23420, r23421, r23422, r23423, r23424, r23425;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23410);
        mpfr_init_set_str(r23411, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23412);
        mpfr_init(r23413);
        mpfr_init_set_str(r23414, "2", 10, MPFR_RNDN);
        mpfr_init(r23415);
        mpfr_init(r23416);
        mpfr_init(r23417);
        mpfr_init(r23418);
        mpfr_init_set_str(r23419, "1", 10, MPFR_RNDN);
        mpfr_init(r23420);
        mpfr_init(r23421);
        mpfr_init(r23422);
        mpfr_init(r23423);
        mpfr_init(r23424);
        mpfr_init(r23425);
}

double f_fm(double k, double n) {
        mpfr_set_d(r23410, k, MPFR_RNDN);
        ;
        mpfr_neg(r23412, r23411, MPFR_RNDN);
        mpfr_pow(r23413, r23410, r23412, MPFR_RNDN);
        ;
        mpfr_const_pi(r23415, MPFR_RNDN);
        mpfr_mul(r23416, r23414, r23415, MPFR_RNDN);
        mpfr_set_d(r23417, n, MPFR_RNDN);
        mpfr_mul(r23418, r23416, r23417, MPFR_RNDN);
        ;
        mpfr_div(r23420, r23419, r23414, MPFR_RNDN);
        mpfr_pow(r23421, r23418, r23420, MPFR_RNDN);
        mpfr_div(r23422, r23410, r23414, MPFR_RNDN);
        mpfr_pow(r23423, r23418, r23422, MPFR_RNDN);
        mpfr_div(r23424, r23421, r23423, MPFR_RNDN);
        mpfr_mul(r23425, r23413, r23424, MPFR_RNDN);
        return mpfr_get_d(r23425, MPFR_RNDN);
}

static mpfr_t r23426, r23427, r23428, r23429, r23430, r23431, r23432, r23433, r23434, r23435, r23436, r23437, r23438, r23439, r23440, r23441;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23426);
        mpfr_init_set_str(r23427, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23428);
        mpfr_init(r23429);
        mpfr_init_set_str(r23430, "2", 10, MPFR_RNDN);
        mpfr_init(r23431);
        mpfr_init(r23432);
        mpfr_init(r23433);
        mpfr_init(r23434);
        mpfr_init_set_str(r23435, "1", 10, MPFR_RNDN);
        mpfr_init(r23436);
        mpfr_init(r23437);
        mpfr_init(r23438);
        mpfr_init(r23439);
        mpfr_init(r23440);
        mpfr_init(r23441);
}

double f_dm(double k, double n) {
        mpfr_set_d(r23426, k, MPFR_RNDN);
        ;
        mpfr_neg(r23428, r23427, MPFR_RNDN);
        mpfr_pow(r23429, r23426, r23428, MPFR_RNDN);
        ;
        mpfr_const_pi(r23431, MPFR_RNDN);
        mpfr_mul(r23432, r23430, r23431, MPFR_RNDN);
        mpfr_set_d(r23433, n, MPFR_RNDN);
        mpfr_mul(r23434, r23432, r23433, MPFR_RNDN);
        ;
        mpfr_div(r23436, r23435, r23430, MPFR_RNDN);
        mpfr_pow(r23437, r23434, r23436, MPFR_RNDN);
        mpfr_div(r23438, r23426, r23430, MPFR_RNDN);
        mpfr_pow(r23439, r23434, r23438, MPFR_RNDN);
        mpfr_div(r23440, r23437, r23439, MPFR_RNDN);
        mpfr_mul(r23441, r23429, r23440, MPFR_RNDN);
        return mpfr_get_d(r23441, MPFR_RNDN);
}

