#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 r25307 = 1;
        float r25308 = k;
        float r25309 = sqrt(r25308);
        float r25310 = r25307 / r25309;
        float r25311 = 2;
        float r25312 = atan2(1.0, 0.0);
        float r25313 = r25311 * r25312;
        float r25314 = n;
        float r25315 = r25313 * r25314;
        float r25316 = r25307 - r25308;
        float r25317 = r25316 / r25311;
        float r25318 = pow(r25315, r25317);
        float r25319 = r25310 * r25318;
        return r25319;
}

double f_id(double k, double n) {
        double r25320 = 1;
        double r25321 = k;
        double r25322 = sqrt(r25321);
        double r25323 = r25320 / r25322;
        double r25324 = 2;
        double r25325 = atan2(1.0, 0.0);
        double r25326 = r25324 * r25325;
        double r25327 = n;
        double r25328 = r25326 * r25327;
        double r25329 = r25320 - r25321;
        double r25330 = r25329 / r25324;
        double r25331 = pow(r25328, r25330);
        double r25332 = r25323 * r25331;
        return r25332;
}


double f_of(float k, float n) {
        float r25333 = n;
        float r25334 = atan2(1.0, 0.0);
        float r25335 = 2;
        float r25336 = r25334 * r25335;
        float r25337 = r25333 * r25336;
        float r25338 = 1;
        float r25339 = r25338 / r25335;
        float r25340 = pow(r25337, r25339);
        float r25341 = k;
        float r25342 = r25341 / r25335;
        float r25343 = pow(r25337, r25342);
        float r25344 = r25340 / r25343;
        float r25345 = sqrt(r25341);
        float r25346 = r25344 / r25345;
        return r25346;
}

double f_od(double k, double n) {
        double r25347 = n;
        double r25348 = atan2(1.0, 0.0);
        double r25349 = 2;
        double r25350 = r25348 * r25349;
        double r25351 = r25347 * r25350;
        double r25352 = 1;
        double r25353 = r25352 / r25349;
        double r25354 = pow(r25351, r25353);
        double r25355 = k;
        double r25356 = r25355 / r25349;
        double r25357 = pow(r25351, r25356);
        double r25358 = r25354 / r25357;
        double r25359 = sqrt(r25355);
        double r25360 = r25358 / r25359;
        return r25360;
}

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 r25361, r25362, r25363, r25364, r25365, r25366, r25367, r25368, r25369, r25370, r25371, r25372, r25373;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r25361, "1", 10, MPFR_RNDN);
        mpfr_init(r25362);
        mpfr_init(r25363);
        mpfr_init(r25364);
        mpfr_init_set_str(r25365, "2", 10, MPFR_RNDN);
        mpfr_init(r25366);
        mpfr_init(r25367);
        mpfr_init(r25368);
        mpfr_init(r25369);
        mpfr_init(r25370);
        mpfr_init(r25371);
        mpfr_init(r25372);
        mpfr_init(r25373);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r25362, k, MPFR_RNDN);
        mpfr_sqrt(r25363, r25362, MPFR_RNDN);
        mpfr_div(r25364, r25361, r25363, MPFR_RNDN);
        ;
        mpfr_const_pi(r25366, MPFR_RNDN);
        mpfr_mul(r25367, r25365, r25366, MPFR_RNDN);
        mpfr_set_d(r25368, n, MPFR_RNDN);
        mpfr_mul(r25369, r25367, r25368, MPFR_RNDN);
        mpfr_sub(r25370, r25361, r25362, MPFR_RNDN);
        mpfr_div(r25371, r25370, r25365, MPFR_RNDN);
        mpfr_pow(r25372, r25369, r25371, MPFR_RNDN);
        mpfr_mul(r25373, r25364, r25372, MPFR_RNDN);
        return mpfr_get_d(r25373, MPFR_RNDN);
}

static mpfr_t r25374, r25375, r25376, r25377, r25378, r25379, r25380, r25381, r25382, r25383, r25384, r25385, r25386, r25387;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25374);
        mpfr_init(r25375);
        mpfr_init_set_str(r25376, "2", 10, MPFR_RNDN);
        mpfr_init(r25377);
        mpfr_init(r25378);
        mpfr_init_set_str(r25379, "1", 10, MPFR_RNDN);
        mpfr_init(r25380);
        mpfr_init(r25381);
        mpfr_init(r25382);
        mpfr_init(r25383);
        mpfr_init(r25384);
        mpfr_init(r25385);
        mpfr_init(r25386);
        mpfr_init(r25387);
}

double f_fm(double k, double n) {
        mpfr_set_d(r25374, n, MPFR_RNDN);
        mpfr_const_pi(r25375, MPFR_RNDN);
        ;
        mpfr_mul(r25377, r25375, r25376, MPFR_RNDN);
        mpfr_mul(r25378, r25374, r25377, MPFR_RNDN);
        ;
        mpfr_div(r25380, r25379, r25376, MPFR_RNDN);
        mpfr_pow(r25381, r25378, r25380, MPFR_RNDN);
        mpfr_set_d(r25382, k, MPFR_RNDN);
        mpfr_div(r25383, r25382, r25376, MPFR_RNDN);
        mpfr_pow(r25384, r25378, r25383, MPFR_RNDN);
        mpfr_div(r25385, r25381, r25384, MPFR_RNDN);
        mpfr_sqrt(r25386, r25382, MPFR_RNDN);
        mpfr_div(r25387, r25385, r25386, MPFR_RNDN);
        return mpfr_get_d(r25387, MPFR_RNDN);
}

static mpfr_t r25388, r25389, r25390, r25391, r25392, r25393, r25394, r25395, r25396, r25397, r25398, r25399, r25400, r25401;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25388);
        mpfr_init(r25389);
        mpfr_init_set_str(r25390, "2", 10, MPFR_RNDN);
        mpfr_init(r25391);
        mpfr_init(r25392);
        mpfr_init_set_str(r25393, "1", 10, MPFR_RNDN);
        mpfr_init(r25394);
        mpfr_init(r25395);
        mpfr_init(r25396);
        mpfr_init(r25397);
        mpfr_init(r25398);
        mpfr_init(r25399);
        mpfr_init(r25400);
        mpfr_init(r25401);
}

double f_dm(double k, double n) {
        mpfr_set_d(r25388, n, MPFR_RNDN);
        mpfr_const_pi(r25389, MPFR_RNDN);
        ;
        mpfr_mul(r25391, r25389, r25390, MPFR_RNDN);
        mpfr_mul(r25392, r25388, r25391, MPFR_RNDN);
        ;
        mpfr_div(r25394, r25393, r25390, MPFR_RNDN);
        mpfr_pow(r25395, r25392, r25394, MPFR_RNDN);
        mpfr_set_d(r25396, k, MPFR_RNDN);
        mpfr_div(r25397, r25396, r25390, MPFR_RNDN);
        mpfr_pow(r25398, r25392, r25397, MPFR_RNDN);
        mpfr_div(r25399, r25395, r25398, MPFR_RNDN);
        mpfr_sqrt(r25400, r25396, MPFR_RNDN);
        mpfr_div(r25401, r25399, r25400, MPFR_RNDN);
        return mpfr_get_d(r25401, MPFR_RNDN);
}