#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 r21047 = 1;
        float r21048 = k;
        float r21049 = sqrt(r21048);
        float r21050 = r21047 / r21049;
        float r21051 = 2;
        float r21052 = atan2(1.0, 0.0);
        float r21053 = r21051 * r21052;
        float r21054 = n;
        float r21055 = r21053 * r21054;
        float r21056 = r21047 - r21048;
        float r21057 = r21056 / r21051;
        float r21058 = pow(r21055, r21057);
        float r21059 = r21050 * r21058;
        return r21059;
}

double f_id(double k, double n) {
        double r21060 = 1;
        double r21061 = k;
        double r21062 = sqrt(r21061);
        double r21063 = r21060 / r21062;
        double r21064 = 2;
        double r21065 = atan2(1.0, 0.0);
        double r21066 = r21064 * r21065;
        double r21067 = n;
        double r21068 = r21066 * r21067;
        double r21069 = r21060 - r21061;
        double r21070 = r21069 / r21064;
        double r21071 = pow(r21068, r21070);
        double r21072 = r21063 * r21071;
        return r21072;
}


double f_of(float k, float n) {
        float r21073 = n;
        float r21074 = r21073 + r21073;
        float r21075 = atan2(1.0, 0.0);
        float r21076 = r21074 * r21075;
        float r21077 = 1;
        float r21078 = 2;
        float r21079 = r21077 / r21078;
        float r21080 = pow(r21076, r21079);
        float r21081 = cbrt(r21074);
        float r21082 = r21081 * r21081;
        float r21083 = r21081 * r21075;
        float r21084 = r21082 * r21083;
        float r21085 = k;
        float r21086 = r21085 / r21078;
        float r21087 = pow(r21084, r21086);
        float r21088 = r21080 / r21087;
        float r21089 = sqrt(r21085);
        float r21090 = r21088 / r21089;
        return r21090;
}

double f_od(double k, double n) {
        double r21091 = n;
        double r21092 = r21091 + r21091;
        double r21093 = atan2(1.0, 0.0);
        double r21094 = r21092 * r21093;
        double r21095 = 1;
        double r21096 = 2;
        double r21097 = r21095 / r21096;
        double r21098 = pow(r21094, r21097);
        double r21099 = cbrt(r21092);
        double r21100 = r21099 * r21099;
        double r21101 = r21099 * r21093;
        double r21102 = r21100 * r21101;
        double r21103 = k;
        double r21104 = r21103 / r21096;
        double r21105 = pow(r21102, r21104);
        double r21106 = r21098 / r21105;
        double r21107 = sqrt(r21103);
        double r21108 = r21106 / r21107;
        return r21108;
}

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 r21109, r21110, r21111, r21112, r21113, r21114, r21115, r21116, r21117, r21118, r21119, r21120, r21121;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r21109, "1", 10, MPFR_RNDN);
        mpfr_init(r21110);
        mpfr_init(r21111);
        mpfr_init(r21112);
        mpfr_init_set_str(r21113, "2", 10, MPFR_RNDN);
        mpfr_init(r21114);
        mpfr_init(r21115);
        mpfr_init(r21116);
        mpfr_init(r21117);
        mpfr_init(r21118);
        mpfr_init(r21119);
        mpfr_init(r21120);
        mpfr_init(r21121);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r21110, k, MPFR_RNDN);
        mpfr_sqrt(r21111, r21110, MPFR_RNDN);
        mpfr_div(r21112, r21109, r21111, MPFR_RNDN);
        ;
        mpfr_const_pi(r21114, MPFR_RNDN);
        mpfr_mul(r21115, r21113, r21114, MPFR_RNDN);
        mpfr_set_d(r21116, n, MPFR_RNDN);
        mpfr_mul(r21117, r21115, r21116, MPFR_RNDN);
        mpfr_sub(r21118, r21109, r21110, MPFR_RNDN);
        mpfr_div(r21119, r21118, r21113, MPFR_RNDN);
        mpfr_pow(r21120, r21117, r21119, MPFR_RNDN);
        mpfr_mul(r21121, r21112, r21120, MPFR_RNDN);
        return mpfr_get_d(r21121, MPFR_RNDN);
}

static mpfr_t r21122, r21123, r21124, r21125, r21126, r21127, r21128, r21129, r21130, r21131, r21132, r21133, r21134, r21135, r21136, r21137, r21138, r21139;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r21122);
        mpfr_init(r21123);
        mpfr_init(r21124);
        mpfr_init(r21125);
        mpfr_init_set_str(r21126, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21127, "2", 10, MPFR_RNDN);
        mpfr_init(r21128);
        mpfr_init(r21129);
        mpfr_init(r21130);
        mpfr_init(r21131);
        mpfr_init(r21132);
        mpfr_init(r21133);
        mpfr_init(r21134);
        mpfr_init(r21135);
        mpfr_init(r21136);
        mpfr_init(r21137);
        mpfr_init(r21138);
        mpfr_init(r21139);
}

double f_fm(double k, double n) {
        mpfr_set_d(r21122, n, MPFR_RNDN);
        mpfr_add(r21123, r21122, r21122, MPFR_RNDN);
        mpfr_const_pi(r21124, MPFR_RNDN);
        mpfr_mul(r21125, r21123, r21124, MPFR_RNDN);
        ;
        ;
        mpfr_div(r21128, r21126, r21127, MPFR_RNDN);
        mpfr_pow(r21129, r21125, r21128, MPFR_RNDN);
        mpfr_cbrt(r21130, r21123, MPFR_RNDN);
        mpfr_mul(r21131, r21130, r21130, MPFR_RNDN);
        mpfr_mul(r21132, r21130, r21124, MPFR_RNDN);
        mpfr_mul(r21133, r21131, r21132, MPFR_RNDN);
        mpfr_set_d(r21134, k, MPFR_RNDN);
        mpfr_div(r21135, r21134, r21127, MPFR_RNDN);
        mpfr_pow(r21136, r21133, r21135, MPFR_RNDN);
        mpfr_div(r21137, r21129, r21136, MPFR_RNDN);
        mpfr_sqrt(r21138, r21134, MPFR_RNDN);
        mpfr_div(r21139, r21137, r21138, MPFR_RNDN);
        return mpfr_get_d(r21139, MPFR_RNDN);
}

static mpfr_t r21140, r21141, r21142, r21143, r21144, r21145, r21146, r21147, r21148, r21149, r21150, r21151, r21152, r21153, r21154, r21155, r21156, r21157;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r21140);
        mpfr_init(r21141);
        mpfr_init(r21142);
        mpfr_init(r21143);
        mpfr_init_set_str(r21144, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21145, "2", 10, MPFR_RNDN);
        mpfr_init(r21146);
        mpfr_init(r21147);
        mpfr_init(r21148);
        mpfr_init(r21149);
        mpfr_init(r21150);
        mpfr_init(r21151);
        mpfr_init(r21152);
        mpfr_init(r21153);
        mpfr_init(r21154);
        mpfr_init(r21155);
        mpfr_init(r21156);
        mpfr_init(r21157);
}

double f_dm(double k, double n) {
        mpfr_set_d(r21140, n, MPFR_RNDN);
        mpfr_add(r21141, r21140, r21140, MPFR_RNDN);
        mpfr_const_pi(r21142, MPFR_RNDN);
        mpfr_mul(r21143, r21141, r21142, MPFR_RNDN);
        ;
        ;
        mpfr_div(r21146, r21144, r21145, MPFR_RNDN);
        mpfr_pow(r21147, r21143, r21146, MPFR_RNDN);
        mpfr_cbrt(r21148, r21141, MPFR_RNDN);
        mpfr_mul(r21149, r21148, r21148, MPFR_RNDN);
        mpfr_mul(r21150, r21148, r21142, MPFR_RNDN);
        mpfr_mul(r21151, r21149, r21150, MPFR_RNDN);
        mpfr_set_d(r21152, k, MPFR_RNDN);
        mpfr_div(r21153, r21152, r21145, MPFR_RNDN);
        mpfr_pow(r21154, r21151, r21153, MPFR_RNDN);
        mpfr_div(r21155, r21147, r21154, MPFR_RNDN);
        mpfr_sqrt(r21156, r21152, MPFR_RNDN);
        mpfr_div(r21157, r21155, r21156, MPFR_RNDN);
        return mpfr_get_d(r21157, MPFR_RNDN);
}

