#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 r22236 = 1;
        float r22237 = k;
        float r22238 = sqrt(r22237);
        float r22239 = r22236 / r22238;
        float r22240 = 2;
        float r22241 = atan2(1.0, 0.0);
        float r22242 = r22240 * r22241;
        float r22243 = n;
        float r22244 = r22242 * r22243;
        float r22245 = r22236 - r22237;
        float r22246 = r22245 / r22240;
        float r22247 = pow(r22244, r22246);
        float r22248 = r22239 * r22247;
        return r22248;
}

double f_id(double k, double n) {
        double r22249 = 1;
        double r22250 = k;
        double r22251 = sqrt(r22250);
        double r22252 = r22249 / r22251;
        double r22253 = 2;
        double r22254 = atan2(1.0, 0.0);
        double r22255 = r22253 * r22254;
        double r22256 = n;
        double r22257 = r22255 * r22256;
        double r22258 = r22249 - r22250;
        double r22259 = r22258 / r22253;
        double r22260 = pow(r22257, r22259);
        double r22261 = r22252 * r22260;
        return r22261;
}


double f_of(float k, float n) {
        float r22262 = n;
        float r22263 = r22262 + r22262;
        float r22264 = sqrt(r22263);
        float r22265 = atan2(1.0, 0.0);
        float r22266 = r22264 * r22265;
        float r22267 = r22264 * r22266;
        float r22268 = 1;
        float r22269 = 2;
        float r22270 = r22268 / r22269;
        float r22271 = pow(r22267, r22270);
        float r22272 = r22263 * r22265;
        float r22273 = k;
        float r22274 = r22273 / r22269;
        float r22275 = pow(r22272, r22274);
        float r22276 = r22271 / r22275;
        float r22277 = sqrt(r22273);
        float r22278 = r22276 / r22277;
        return r22278;
}

double f_od(double k, double n) {
        double r22279 = n;
        double r22280 = r22279 + r22279;
        double r22281 = sqrt(r22280);
        double r22282 = atan2(1.0, 0.0);
        double r22283 = r22281 * r22282;
        double r22284 = r22281 * r22283;
        double r22285 = 1;
        double r22286 = 2;
        double r22287 = r22285 / r22286;
        double r22288 = pow(r22284, r22287);
        double r22289 = r22280 * r22282;
        double r22290 = k;
        double r22291 = r22290 / r22286;
        double r22292 = pow(r22289, r22291);
        double r22293 = r22288 / r22292;
        double r22294 = sqrt(r22290);
        double r22295 = r22293 / r22294;
        return r22295;
}

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 r22296, r22297, r22298, r22299, r22300, r22301, r22302, r22303, r22304, r22305, r22306, r22307, r22308;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r22296, "1", 10, MPFR_RNDN);
        mpfr_init(r22297);
        mpfr_init(r22298);
        mpfr_init(r22299);
        mpfr_init_set_str(r22300, "2", 10, MPFR_RNDN);
        mpfr_init(r22301);
        mpfr_init(r22302);
        mpfr_init(r22303);
        mpfr_init(r22304);
        mpfr_init(r22305);
        mpfr_init(r22306);
        mpfr_init(r22307);
        mpfr_init(r22308);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r22297, k, MPFR_RNDN);
        mpfr_sqrt(r22298, r22297, MPFR_RNDN);
        mpfr_div(r22299, r22296, r22298, MPFR_RNDN);
        ;
        mpfr_const_pi(r22301, MPFR_RNDN);
        mpfr_mul(r22302, r22300, r22301, MPFR_RNDN);
        mpfr_set_d(r22303, n, MPFR_RNDN);
        mpfr_mul(r22304, r22302, r22303, MPFR_RNDN);
        mpfr_sub(r22305, r22296, r22297, MPFR_RNDN);
        mpfr_div(r22306, r22305, r22300, MPFR_RNDN);
        mpfr_pow(r22307, r22304, r22306, MPFR_RNDN);
        mpfr_mul(r22308, r22299, r22307, MPFR_RNDN);
        return mpfr_get_d(r22308, MPFR_RNDN);
}

static mpfr_t r22309, r22310, r22311, r22312, r22313, r22314, r22315, r22316, r22317, r22318, r22319, r22320, r22321, r22322, r22323, r22324, r22325;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22309);
        mpfr_init(r22310);
        mpfr_init(r22311);
        mpfr_init(r22312);
        mpfr_init(r22313);
        mpfr_init(r22314);
        mpfr_init_set_str(r22315, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22316, "2", 10, MPFR_RNDN);
        mpfr_init(r22317);
        mpfr_init(r22318);
        mpfr_init(r22319);
        mpfr_init(r22320);
        mpfr_init(r22321);
        mpfr_init(r22322);
        mpfr_init(r22323);
        mpfr_init(r22324);
        mpfr_init(r22325);
}

double f_fm(double k, double n) {
        mpfr_set_d(r22309, n, MPFR_RNDN);
        mpfr_add(r22310, r22309, r22309, MPFR_RNDN);
        mpfr_sqrt(r22311, r22310, MPFR_RNDN);
        mpfr_const_pi(r22312, MPFR_RNDN);
        mpfr_mul(r22313, r22311, r22312, MPFR_RNDN);
        mpfr_mul(r22314, r22311, r22313, MPFR_RNDN);
        ;
        ;
        mpfr_div(r22317, r22315, r22316, MPFR_RNDN);
        mpfr_pow(r22318, r22314, r22317, MPFR_RNDN);
        mpfr_mul(r22319, r22310, r22312, MPFR_RNDN);
        mpfr_set_d(r22320, k, MPFR_RNDN);
        mpfr_div(r22321, r22320, r22316, MPFR_RNDN);
        mpfr_pow(r22322, r22319, r22321, MPFR_RNDN);
        mpfr_div(r22323, r22318, r22322, MPFR_RNDN);
        mpfr_sqrt(r22324, r22320, MPFR_RNDN);
        mpfr_div(r22325, r22323, r22324, MPFR_RNDN);
        return mpfr_get_d(r22325, MPFR_RNDN);
}

static mpfr_t r22326, r22327, r22328, r22329, r22330, r22331, r22332, r22333, r22334, r22335, r22336, r22337, r22338, r22339, r22340, r22341, r22342;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22326);
        mpfr_init(r22327);
        mpfr_init(r22328);
        mpfr_init(r22329);
        mpfr_init(r22330);
        mpfr_init(r22331);
        mpfr_init_set_str(r22332, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22333, "2", 10, MPFR_RNDN);
        mpfr_init(r22334);
        mpfr_init(r22335);
        mpfr_init(r22336);
        mpfr_init(r22337);
        mpfr_init(r22338);
        mpfr_init(r22339);
        mpfr_init(r22340);
        mpfr_init(r22341);
        mpfr_init(r22342);
}

double f_dm(double k, double n) {
        mpfr_set_d(r22326, n, MPFR_RNDN);
        mpfr_add(r22327, r22326, r22326, MPFR_RNDN);
        mpfr_sqrt(r22328, r22327, MPFR_RNDN);
        mpfr_const_pi(r22329, MPFR_RNDN);
        mpfr_mul(r22330, r22328, r22329, MPFR_RNDN);
        mpfr_mul(r22331, r22328, r22330, MPFR_RNDN);
        ;
        ;
        mpfr_div(r22334, r22332, r22333, MPFR_RNDN);
        mpfr_pow(r22335, r22331, r22334, MPFR_RNDN);
        mpfr_mul(r22336, r22327, r22329, MPFR_RNDN);
        mpfr_set_d(r22337, k, MPFR_RNDN);
        mpfr_div(r22338, r22337, r22333, MPFR_RNDN);
        mpfr_pow(r22339, r22336, r22338, MPFR_RNDN);
        mpfr_div(r22340, r22335, r22339, MPFR_RNDN);
        mpfr_sqrt(r22341, r22337, MPFR_RNDN);
        mpfr_div(r22342, r22340, r22341, MPFR_RNDN);
        return mpfr_get_d(r22342, MPFR_RNDN);
}

