#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 r22269 = 1;
        float r22270 = k;
        float r22271 = sqrt(r22270);
        float r22272 = r22269 / r22271;
        float r22273 = 2;
        float r22274 = atan2(1.0, 0.0);
        float r22275 = r22273 * r22274;
        float r22276 = n;
        float r22277 = r22275 * r22276;
        float r22278 = r22269 - r22270;
        float r22279 = r22278 / r22273;
        float r22280 = pow(r22277, r22279);
        float r22281 = r22272 * r22280;
        return r22281;
}

double f_id(double k, double n) {
        double r22282 = 1;
        double r22283 = k;
        double r22284 = sqrt(r22283);
        double r22285 = r22282 / r22284;
        double r22286 = 2;
        double r22287 = atan2(1.0, 0.0);
        double r22288 = r22286 * r22287;
        double r22289 = n;
        double r22290 = r22288 * r22289;
        double r22291 = r22282 - r22283;
        double r22292 = r22291 / r22286;
        double r22293 = pow(r22290, r22292);
        double r22294 = r22285 * r22293;
        return r22294;
}


double f_of(float k, float n) {
        float r22295 = n;
        float r22296 = r22295 + r22295;
        float r22297 = atan2(1.0, 0.0);
        float r22298 = r22296 * r22297;
        float r22299 = 1;
        float r22300 = 2;
        float r22301 = r22299 / r22300;
        float r22302 = pow(r22298, r22301);
        float r22303 = k;
        float r22304 = r22303 / r22300;
        float r22305 = pow(r22298, r22304);
        float r22306 = r22302 / r22305;
        float r22307 = sqrt(r22303);
        float r22308 = r22306 / r22307;
        return r22308;
}

double f_od(double k, double n) {
        double r22309 = n;
        double r22310 = r22309 + r22309;
        double r22311 = atan2(1.0, 0.0);
        double r22312 = r22310 * r22311;
        double r22313 = 1;
        double r22314 = 2;
        double r22315 = r22313 / r22314;
        double r22316 = pow(r22312, r22315);
        double r22317 = k;
        double r22318 = r22317 / r22314;
        double r22319 = pow(r22312, r22318);
        double r22320 = r22316 / r22319;
        double r22321 = sqrt(r22317);
        double r22322 = r22320 / r22321;
        return r22322;
}

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 r22323, r22324, r22325, r22326, r22327, r22328, r22329, r22330, r22331, r22332, r22333, r22334, r22335;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r22323, "1", 10, MPFR_RNDN);
        mpfr_init(r22324);
        mpfr_init(r22325);
        mpfr_init(r22326);
        mpfr_init_set_str(r22327, "2", 10, MPFR_RNDN);
        mpfr_init(r22328);
        mpfr_init(r22329);
        mpfr_init(r22330);
        mpfr_init(r22331);
        mpfr_init(r22332);
        mpfr_init(r22333);
        mpfr_init(r22334);
        mpfr_init(r22335);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r22324, k, MPFR_RNDN);
        mpfr_sqrt(r22325, r22324, MPFR_RNDN);
        mpfr_div(r22326, r22323, r22325, MPFR_RNDN);
        ;
        mpfr_const_pi(r22328, MPFR_RNDN);
        mpfr_mul(r22329, r22327, r22328, MPFR_RNDN);
        mpfr_set_d(r22330, n, MPFR_RNDN);
        mpfr_mul(r22331, r22329, r22330, MPFR_RNDN);
        mpfr_sub(r22332, r22323, r22324, MPFR_RNDN);
        mpfr_div(r22333, r22332, r22327, MPFR_RNDN);
        mpfr_pow(r22334, r22331, r22333, MPFR_RNDN);
        mpfr_mul(r22335, r22326, r22334, MPFR_RNDN);
        return mpfr_get_d(r22335, MPFR_RNDN);
}

static mpfr_t r22336, r22337, r22338, r22339, r22340, r22341, r22342, r22343, r22344, r22345, r22346, r22347, r22348, r22349;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22336);
        mpfr_init(r22337);
        mpfr_init(r22338);
        mpfr_init(r22339);
        mpfr_init_set_str(r22340, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22341, "2", 10, MPFR_RNDN);
        mpfr_init(r22342);
        mpfr_init(r22343);
        mpfr_init(r22344);
        mpfr_init(r22345);
        mpfr_init(r22346);
        mpfr_init(r22347);
        mpfr_init(r22348);
        mpfr_init(r22349);
}

double f_fm(double k, double n) {
        mpfr_set_d(r22336, n, MPFR_RNDN);
        mpfr_add(r22337, r22336, r22336, MPFR_RNDN);
        mpfr_const_pi(r22338, MPFR_RNDN);
        mpfr_mul(r22339, r22337, r22338, MPFR_RNDN);
        ;
        ;
        mpfr_div(r22342, r22340, r22341, MPFR_RNDN);
        mpfr_pow(r22343, r22339, r22342, MPFR_RNDN);
        mpfr_set_d(r22344, k, MPFR_RNDN);
        mpfr_div(r22345, r22344, r22341, MPFR_RNDN);
        mpfr_pow(r22346, r22339, r22345, MPFR_RNDN);
        mpfr_div(r22347, r22343, r22346, MPFR_RNDN);
        mpfr_sqrt(r22348, r22344, MPFR_RNDN);
        mpfr_div(r22349, r22347, r22348, MPFR_RNDN);
        return mpfr_get_d(r22349, MPFR_RNDN);
}

static mpfr_t r22350, r22351, r22352, r22353, r22354, r22355, r22356, r22357, r22358, r22359, r22360, r22361, r22362, r22363;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22350);
        mpfr_init(r22351);
        mpfr_init(r22352);
        mpfr_init(r22353);
        mpfr_init_set_str(r22354, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22355, "2", 10, MPFR_RNDN);
        mpfr_init(r22356);
        mpfr_init(r22357);
        mpfr_init(r22358);
        mpfr_init(r22359);
        mpfr_init(r22360);
        mpfr_init(r22361);
        mpfr_init(r22362);
        mpfr_init(r22363);
}

double f_dm(double k, double n) {
        mpfr_set_d(r22350, n, MPFR_RNDN);
        mpfr_add(r22351, r22350, r22350, MPFR_RNDN);
        mpfr_const_pi(r22352, MPFR_RNDN);
        mpfr_mul(r22353, r22351, r22352, MPFR_RNDN);
        ;
        ;
        mpfr_div(r22356, r22354, r22355, MPFR_RNDN);
        mpfr_pow(r22357, r22353, r22356, MPFR_RNDN);
        mpfr_set_d(r22358, k, MPFR_RNDN);
        mpfr_div(r22359, r22358, r22355, MPFR_RNDN);
        mpfr_pow(r22360, r22353, r22359, MPFR_RNDN);
        mpfr_div(r22361, r22357, r22360, MPFR_RNDN);
        mpfr_sqrt(r22362, r22358, MPFR_RNDN);
        mpfr_div(r22363, r22361, r22362, MPFR_RNDN);
        return mpfr_get_d(r22363, MPFR_RNDN);
}