#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 r23132 = 1;
        float r23133 = k;
        float r23134 = sqrt(r23133);
        float r23135 = r23132 / r23134;
        float r23136 = 2;
        float r23137 = atan2(1.0, 0.0);
        float r23138 = r23136 * r23137;
        float r23139 = n;
        float r23140 = r23138 * r23139;
        float r23141 = r23132 - r23133;
        float r23142 = r23141 / r23136;
        float r23143 = pow(r23140, r23142);
        float r23144 = r23135 * r23143;
        return r23144;
}

double f_id(double k, double n) {
        double r23145 = 1;
        double r23146 = k;
        double r23147 = sqrt(r23146);
        double r23148 = r23145 / r23147;
        double r23149 = 2;
        double r23150 = atan2(1.0, 0.0);
        double r23151 = r23149 * r23150;
        double r23152 = n;
        double r23153 = r23151 * r23152;
        double r23154 = r23145 - r23146;
        double r23155 = r23154 / r23149;
        double r23156 = pow(r23153, r23155);
        double r23157 = r23148 * r23156;
        return r23157;
}


double f_of(float k, float n) {
        float r23158 = k;
        float r23159 = 1/2;
        float r23160 = -r23159;
        float r23161 = pow(r23158, r23160);
        float r23162 = 2;
        float r23163 = atan2(1.0, 0.0);
        float r23164 = r23162 * r23163;
        float r23165 = n;
        float r23166 = r23164 * r23165;
        float r23167 = 1;
        float r23168 = r23167 - r23158;
        float r23169 = r23168 / r23162;
        float r23170 = pow(r23166, r23169);
        float r23171 = r23161 * r23170;
        return r23171;
}

double f_od(double k, double n) {
        double r23172 = k;
        double r23173 = 1/2;
        double r23174 = -r23173;
        double r23175 = pow(r23172, r23174);
        double r23176 = 2;
        double r23177 = atan2(1.0, 0.0);
        double r23178 = r23176 * r23177;
        double r23179 = n;
        double r23180 = r23178 * r23179;
        double r23181 = 1;
        double r23182 = r23181 - r23172;
        double r23183 = r23182 / r23176;
        double r23184 = pow(r23180, r23183);
        double r23185 = r23175 * r23184;
        return r23185;
}

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 r23186, r23187, r23188, r23189, r23190, r23191, r23192, r23193, r23194, r23195, r23196, r23197, r23198;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r23186, "1", 10, MPFR_RNDN);
        mpfr_init(r23187);
        mpfr_init(r23188);
        mpfr_init(r23189);
        mpfr_init_set_str(r23190, "2", 10, MPFR_RNDN);
        mpfr_init(r23191);
        mpfr_init(r23192);
        mpfr_init(r23193);
        mpfr_init(r23194);
        mpfr_init(r23195);
        mpfr_init(r23196);
        mpfr_init(r23197);
        mpfr_init(r23198);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r23187, k, MPFR_RNDN);
        mpfr_sqrt(r23188, r23187, MPFR_RNDN);
        mpfr_div(r23189, r23186, r23188, MPFR_RNDN);
        ;
        mpfr_const_pi(r23191, MPFR_RNDN);
        mpfr_mul(r23192, r23190, r23191, MPFR_RNDN);
        mpfr_set_d(r23193, n, MPFR_RNDN);
        mpfr_mul(r23194, r23192, r23193, MPFR_RNDN);
        mpfr_sub(r23195, r23186, r23187, MPFR_RNDN);
        mpfr_div(r23196, r23195, r23190, MPFR_RNDN);
        mpfr_pow(r23197, r23194, r23196, MPFR_RNDN);
        mpfr_mul(r23198, r23189, r23197, MPFR_RNDN);
        return mpfr_get_d(r23198, MPFR_RNDN);
}

static mpfr_t r23199, r23200, r23201, r23202, r23203, r23204, r23205, r23206, r23207, r23208, r23209, r23210, r23211, r23212;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23199);
        mpfr_init_set_str(r23200, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23201);
        mpfr_init(r23202);
        mpfr_init_set_str(r23203, "2", 10, MPFR_RNDN);
        mpfr_init(r23204);
        mpfr_init(r23205);
        mpfr_init(r23206);
        mpfr_init(r23207);
        mpfr_init_set_str(r23208, "1", 10, MPFR_RNDN);
        mpfr_init(r23209);
        mpfr_init(r23210);
        mpfr_init(r23211);
        mpfr_init(r23212);
}

double f_fm(double k, double n) {
        mpfr_set_d(r23199, k, MPFR_RNDN);
        ;
        mpfr_neg(r23201, r23200, MPFR_RNDN);
        mpfr_pow(r23202, r23199, r23201, MPFR_RNDN);
        ;
        mpfr_const_pi(r23204, MPFR_RNDN);
        mpfr_mul(r23205, r23203, r23204, MPFR_RNDN);
        mpfr_set_d(r23206, n, MPFR_RNDN);
        mpfr_mul(r23207, r23205, r23206, MPFR_RNDN);
        ;
        mpfr_sub(r23209, r23208, r23199, MPFR_RNDN);
        mpfr_div(r23210, r23209, r23203, MPFR_RNDN);
        mpfr_pow(r23211, r23207, r23210, MPFR_RNDN);
        mpfr_mul(r23212, r23202, r23211, MPFR_RNDN);
        return mpfr_get_d(r23212, MPFR_RNDN);
}

static mpfr_t r23213, r23214, r23215, r23216, r23217, r23218, r23219, r23220, r23221, r23222, r23223, r23224, r23225, r23226;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23213);
        mpfr_init_set_str(r23214, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23215);
        mpfr_init(r23216);
        mpfr_init_set_str(r23217, "2", 10, MPFR_RNDN);
        mpfr_init(r23218);
        mpfr_init(r23219);
        mpfr_init(r23220);
        mpfr_init(r23221);
        mpfr_init_set_str(r23222, "1", 10, MPFR_RNDN);
        mpfr_init(r23223);
        mpfr_init(r23224);
        mpfr_init(r23225);
        mpfr_init(r23226);
}

double f_dm(double k, double n) {
        mpfr_set_d(r23213, k, MPFR_RNDN);
        ;
        mpfr_neg(r23215, r23214, MPFR_RNDN);
        mpfr_pow(r23216, r23213, r23215, MPFR_RNDN);
        ;
        mpfr_const_pi(r23218, MPFR_RNDN);
        mpfr_mul(r23219, r23217, r23218, MPFR_RNDN);
        mpfr_set_d(r23220, n, MPFR_RNDN);
        mpfr_mul(r23221, r23219, r23220, MPFR_RNDN);
        ;
        mpfr_sub(r23223, r23222, r23213, MPFR_RNDN);
        mpfr_div(r23224, r23223, r23217, MPFR_RNDN);
        mpfr_pow(r23225, r23221, r23224, MPFR_RNDN);
        mpfr_mul(r23226, r23216, r23225, MPFR_RNDN);
        return mpfr_get_d(r23226, MPFR_RNDN);
}