#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 r23212 = 1;
        float r23213 = k;
        float r23214 = sqrt(r23213);
        float r23215 = r23212 / r23214;
        float r23216 = 2;
        float r23217 = atan2(1.0, 0.0);
        float r23218 = r23216 * r23217;
        float r23219 = n;
        float r23220 = r23218 * r23219;
        float r23221 = r23212 - r23213;
        float r23222 = r23221 / r23216;
        float r23223 = pow(r23220, r23222);
        float r23224 = r23215 * r23223;
        return r23224;
}

double f_id(double k, double n) {
        double r23225 = 1;
        double r23226 = k;
        double r23227 = sqrt(r23226);
        double r23228 = r23225 / r23227;
        double r23229 = 2;
        double r23230 = atan2(1.0, 0.0);
        double r23231 = r23229 * r23230;
        double r23232 = n;
        double r23233 = r23231 * r23232;
        double r23234 = r23225 - r23226;
        double r23235 = r23234 / r23229;
        double r23236 = pow(r23233, r23235);
        double r23237 = r23228 * r23236;
        return r23237;
}


double f_of(float k, float n) {
        float r23238 = n;
        float r23239 = atan2(1.0, 0.0);
        float r23240 = 2;
        float r23241 = r23239 * r23240;
        float r23242 = r23238 * r23241;
        float r23243 = 1;
        float r23244 = r23243 / r23240;
        float r23245 = pow(r23242, r23244);
        float r23246 = k;
        float r23247 = sqrt(r23246);
        float r23248 = r23246 / r23240;
        float r23249 = pow(r23242, r23248);
        float r23250 = r23247 * r23249;
        float r23251 = r23245 / r23250;
        return r23251;
}

double f_od(double k, double n) {
        double r23252 = n;
        double r23253 = atan2(1.0, 0.0);
        double r23254 = 2;
        double r23255 = r23253 * r23254;
        double r23256 = r23252 * r23255;
        double r23257 = 1;
        double r23258 = r23257 / r23254;
        double r23259 = pow(r23256, r23258);
        double r23260 = k;
        double r23261 = sqrt(r23260);
        double r23262 = r23260 / r23254;
        double r23263 = pow(r23256, r23262);
        double r23264 = r23261 * r23263;
        double r23265 = r23259 / r23264;
        return r23265;
}

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 r23266, r23267, r23268, r23269, r23270, r23271, r23272, r23273, r23274, r23275, r23276, r23277, r23278;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r23266, "1", 10, MPFR_RNDN);
        mpfr_init(r23267);
        mpfr_init(r23268);
        mpfr_init(r23269);
        mpfr_init_set_str(r23270, "2", 10, MPFR_RNDN);
        mpfr_init(r23271);
        mpfr_init(r23272);
        mpfr_init(r23273);
        mpfr_init(r23274);
        mpfr_init(r23275);
        mpfr_init(r23276);
        mpfr_init(r23277);
        mpfr_init(r23278);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r23267, k, MPFR_RNDN);
        mpfr_sqrt(r23268, r23267, MPFR_RNDN);
        mpfr_div(r23269, r23266, r23268, MPFR_RNDN);
        ;
        mpfr_const_pi(r23271, MPFR_RNDN);
        mpfr_mul(r23272, r23270, r23271, MPFR_RNDN);
        mpfr_set_d(r23273, n, MPFR_RNDN);
        mpfr_mul(r23274, r23272, r23273, MPFR_RNDN);
        mpfr_sub(r23275, r23266, r23267, MPFR_RNDN);
        mpfr_div(r23276, r23275, r23270, MPFR_RNDN);
        mpfr_pow(r23277, r23274, r23276, MPFR_RNDN);
        mpfr_mul(r23278, r23269, r23277, MPFR_RNDN);
        return mpfr_get_d(r23278, MPFR_RNDN);
}

static mpfr_t r23279, r23280, r23281, r23282, r23283, r23284, r23285, r23286, r23287, r23288, r23289, r23290, r23291, r23292;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23279);
        mpfr_init(r23280);
        mpfr_init_set_str(r23281, "2", 10, MPFR_RNDN);
        mpfr_init(r23282);
        mpfr_init(r23283);
        mpfr_init_set_str(r23284, "1", 10, MPFR_RNDN);
        mpfr_init(r23285);
        mpfr_init(r23286);
        mpfr_init(r23287);
        mpfr_init(r23288);
        mpfr_init(r23289);
        mpfr_init(r23290);
        mpfr_init(r23291);
        mpfr_init(r23292);
}

double f_fm(double k, double n) {
        mpfr_set_d(r23279, n, MPFR_RNDN);
        mpfr_const_pi(r23280, MPFR_RNDN);
        ;
        mpfr_mul(r23282, r23280, r23281, MPFR_RNDN);
        mpfr_mul(r23283, r23279, r23282, MPFR_RNDN);
        ;
        mpfr_div(r23285, r23284, r23281, MPFR_RNDN);
        mpfr_pow(r23286, r23283, r23285, MPFR_RNDN);
        mpfr_set_d(r23287, k, MPFR_RNDN);
        mpfr_sqrt(r23288, r23287, MPFR_RNDN);
        mpfr_div(r23289, r23287, r23281, MPFR_RNDN);
        mpfr_pow(r23290, r23283, r23289, MPFR_RNDN);
        mpfr_mul(r23291, r23288, r23290, MPFR_RNDN);
        mpfr_div(r23292, r23286, r23291, MPFR_RNDN);
        return mpfr_get_d(r23292, MPFR_RNDN);
}

static mpfr_t r23293, r23294, r23295, r23296, r23297, r23298, r23299, r23300, r23301, r23302, r23303, r23304, r23305, r23306;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23293);
        mpfr_init(r23294);
        mpfr_init_set_str(r23295, "2", 10, MPFR_RNDN);
        mpfr_init(r23296);
        mpfr_init(r23297);
        mpfr_init_set_str(r23298, "1", 10, MPFR_RNDN);
        mpfr_init(r23299);
        mpfr_init(r23300);
        mpfr_init(r23301);
        mpfr_init(r23302);
        mpfr_init(r23303);
        mpfr_init(r23304);
        mpfr_init(r23305);
        mpfr_init(r23306);
}

double f_dm(double k, double n) {
        mpfr_set_d(r23293, n, MPFR_RNDN);
        mpfr_const_pi(r23294, MPFR_RNDN);
        ;
        mpfr_mul(r23296, r23294, r23295, MPFR_RNDN);
        mpfr_mul(r23297, r23293, r23296, MPFR_RNDN);
        ;
        mpfr_div(r23299, r23298, r23295, MPFR_RNDN);
        mpfr_pow(r23300, r23297, r23299, MPFR_RNDN);
        mpfr_set_d(r23301, k, MPFR_RNDN);
        mpfr_sqrt(r23302, r23301, MPFR_RNDN);
        mpfr_div(r23303, r23301, r23295, MPFR_RNDN);
        mpfr_pow(r23304, r23297, r23303, MPFR_RNDN);
        mpfr_mul(r23305, r23302, r23304, MPFR_RNDN);
        mpfr_div(r23306, r23300, r23305, MPFR_RNDN);
        return mpfr_get_d(r23306, MPFR_RNDN);
}