#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 r22305 = 1;
        float r22306 = k;
        float r22307 = sqrt(r22306);
        float r22308 = r22305 / r22307;
        float r22309 = 2;
        float r22310 = atan2(1.0, 0.0);
        float r22311 = r22309 * r22310;
        float r22312 = n;
        float r22313 = r22311 * r22312;
        float r22314 = r22305 - r22306;
        float r22315 = r22314 / r22309;
        float r22316 = pow(r22313, r22315);
        float r22317 = r22308 * r22316;
        return r22317;
}

double f_id(double k, double n) {
        double r22318 = 1;
        double r22319 = k;
        double r22320 = sqrt(r22319);
        double r22321 = r22318 / r22320;
        double r22322 = 2;
        double r22323 = atan2(1.0, 0.0);
        double r22324 = r22322 * r22323;
        double r22325 = n;
        double r22326 = r22324 * r22325;
        double r22327 = r22318 - r22319;
        double r22328 = r22327 / r22322;
        double r22329 = pow(r22326, r22328);
        double r22330 = r22321 * r22329;
        return r22330;
}


double f_of(float k, float n) {
        float r22331 = n;
        float r22332 = r22331 + r22331;
        float r22333 = atan2(1.0, 0.0);
        float r22334 = r22332 * r22333;
        float r22335 = 1;
        float r22336 = 2;
        float r22337 = r22335 / r22336;
        float r22338 = pow(r22334, r22337);
        float r22339 = k;
        float r22340 = r22339 / r22336;
        float r22341 = pow(r22334, r22340);
        float r22342 = r22338 / r22341;
        float r22343 = sqrt(r22339);
        float r22344 = r22342 / r22343;
        return r22344;
}

double f_od(double k, double n) {
        double r22345 = n;
        double r22346 = r22345 + r22345;
        double r22347 = atan2(1.0, 0.0);
        double r22348 = r22346 * r22347;
        double r22349 = 1;
        double r22350 = 2;
        double r22351 = r22349 / r22350;
        double r22352 = pow(r22348, r22351);
        double r22353 = k;
        double r22354 = r22353 / r22350;
        double r22355 = pow(r22348, r22354);
        double r22356 = r22352 / r22355;
        double r22357 = sqrt(r22353);
        double r22358 = r22356 / r22357;
        return r22358;
}

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 r22359, r22360, r22361, r22362, r22363, r22364, r22365, r22366, r22367, r22368, r22369, r22370, r22371;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r22359, "1", 10, MPFR_RNDN);
        mpfr_init(r22360);
        mpfr_init(r22361);
        mpfr_init(r22362);
        mpfr_init_set_str(r22363, "2", 10, MPFR_RNDN);
        mpfr_init(r22364);
        mpfr_init(r22365);
        mpfr_init(r22366);
        mpfr_init(r22367);
        mpfr_init(r22368);
        mpfr_init(r22369);
        mpfr_init(r22370);
        mpfr_init(r22371);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r22360, k, MPFR_RNDN);
        mpfr_sqrt(r22361, r22360, MPFR_RNDN);
        mpfr_div(r22362, r22359, r22361, MPFR_RNDN);
        ;
        mpfr_const_pi(r22364, MPFR_RNDN);
        mpfr_mul(r22365, r22363, r22364, MPFR_RNDN);
        mpfr_set_d(r22366, n, MPFR_RNDN);
        mpfr_mul(r22367, r22365, r22366, MPFR_RNDN);
        mpfr_sub(r22368, r22359, r22360, MPFR_RNDN);
        mpfr_div(r22369, r22368, r22363, MPFR_RNDN);
        mpfr_pow(r22370, r22367, r22369, MPFR_RNDN);
        mpfr_mul(r22371, r22362, r22370, MPFR_RNDN);
        return mpfr_get_d(r22371, MPFR_RNDN);
}

static mpfr_t r22372, r22373, r22374, r22375, r22376, r22377, r22378, r22379, r22380, r22381, r22382, r22383, r22384, r22385;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22372);
        mpfr_init(r22373);
        mpfr_init(r22374);
        mpfr_init(r22375);
        mpfr_init_set_str(r22376, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22377, "2", 10, MPFR_RNDN);
        mpfr_init(r22378);
        mpfr_init(r22379);
        mpfr_init(r22380);
        mpfr_init(r22381);
        mpfr_init(r22382);
        mpfr_init(r22383);
        mpfr_init(r22384);
        mpfr_init(r22385);
}

double f_fm(double k, double n) {
        mpfr_set_d(r22372, n, MPFR_RNDN);
        mpfr_add(r22373, r22372, r22372, MPFR_RNDN);
        mpfr_const_pi(r22374, MPFR_RNDN);
        mpfr_mul(r22375, r22373, r22374, MPFR_RNDN);
        ;
        ;
        mpfr_div(r22378, r22376, r22377, MPFR_RNDN);
        mpfr_pow(r22379, r22375, r22378, MPFR_RNDN);
        mpfr_set_d(r22380, k, MPFR_RNDN);
        mpfr_div(r22381, r22380, r22377, MPFR_RNDN);
        mpfr_pow(r22382, r22375, r22381, MPFR_RNDN);
        mpfr_div(r22383, r22379, r22382, MPFR_RNDN);
        mpfr_sqrt(r22384, r22380, MPFR_RNDN);
        mpfr_div(r22385, r22383, r22384, MPFR_RNDN);
        return mpfr_get_d(r22385, MPFR_RNDN);
}

static mpfr_t r22386, r22387, r22388, r22389, r22390, r22391, r22392, r22393, r22394, r22395, r22396, r22397, r22398, r22399;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22386);
        mpfr_init(r22387);
        mpfr_init(r22388);
        mpfr_init(r22389);
        mpfr_init_set_str(r22390, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22391, "2", 10, MPFR_RNDN);
        mpfr_init(r22392);
        mpfr_init(r22393);
        mpfr_init(r22394);
        mpfr_init(r22395);
        mpfr_init(r22396);
        mpfr_init(r22397);
        mpfr_init(r22398);
        mpfr_init(r22399);
}

double f_dm(double k, double n) {
        mpfr_set_d(r22386, n, MPFR_RNDN);
        mpfr_add(r22387, r22386, r22386, MPFR_RNDN);
        mpfr_const_pi(r22388, MPFR_RNDN);
        mpfr_mul(r22389, r22387, r22388, MPFR_RNDN);
        ;
        ;
        mpfr_div(r22392, r22390, r22391, MPFR_RNDN);
        mpfr_pow(r22393, r22389, r22392, MPFR_RNDN);
        mpfr_set_d(r22394, k, MPFR_RNDN);
        mpfr_div(r22395, r22394, r22391, MPFR_RNDN);
        mpfr_pow(r22396, r22389, r22395, MPFR_RNDN);
        mpfr_div(r22397, r22393, r22396, MPFR_RNDN);
        mpfr_sqrt(r22398, r22394, MPFR_RNDN);
        mpfr_div(r22399, r22397, r22398, MPFR_RNDN);
        return mpfr_get_d(r22399, MPFR_RNDN);
}