#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 r22091 = 1;
        float r22092 = k;
        float r22093 = sqrt(r22092);
        float r22094 = r22091 / r22093;
        float r22095 = 2;
        float r22096 = atan2(1.0, 0.0);
        float r22097 = r22095 * r22096;
        float r22098 = n;
        float r22099 = r22097 * r22098;
        float r22100 = r22091 - r22092;
        float r22101 = r22100 / r22095;
        float r22102 = pow(r22099, r22101);
        float r22103 = r22094 * r22102;
        return r22103;
}

double f_id(double k, double n) {
        double r22104 = 1;
        double r22105 = k;
        double r22106 = sqrt(r22105);
        double r22107 = r22104 / r22106;
        double r22108 = 2;
        double r22109 = atan2(1.0, 0.0);
        double r22110 = r22108 * r22109;
        double r22111 = n;
        double r22112 = r22110 * r22111;
        double r22113 = r22104 - r22105;
        double r22114 = r22113 / r22108;
        double r22115 = pow(r22112, r22114);
        double r22116 = r22107 * r22115;
        return r22116;
}


double f_of(float k, float n) {
        float r22117 = n;
        float r22118 = atan2(1.0, 0.0);
        float r22119 = r22118 + r22118;
        float r22120 = r22117 * r22119;
        float r22121 = 1;
        float r22122 = 2;
        float r22123 = r22121 / r22122;
        float r22124 = pow(r22120, r22123);
        float r22125 = k;
        float r22126 = r22125 / r22122;
        float r22127 = pow(r22120, r22126);
        float r22128 = r22124 / r22127;
        float r22129 = sqrt(r22125);
        float r22130 = r22128 / r22129;
        return r22130;
}

double f_od(double k, double n) {
        double r22131 = n;
        double r22132 = atan2(1.0, 0.0);
        double r22133 = r22132 + r22132;
        double r22134 = r22131 * r22133;
        double r22135 = 1;
        double r22136 = 2;
        double r22137 = r22135 / r22136;
        double r22138 = pow(r22134, r22137);
        double r22139 = k;
        double r22140 = r22139 / r22136;
        double r22141 = pow(r22134, r22140);
        double r22142 = r22138 / r22141;
        double r22143 = sqrt(r22139);
        double r22144 = r22142 / r22143;
        return r22144;
}

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 r22145, r22146, r22147, r22148, r22149, r22150, r22151, r22152, r22153, r22154, r22155, r22156, r22157;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r22145, "1", 10, MPFR_RNDN);
        mpfr_init(r22146);
        mpfr_init(r22147);
        mpfr_init(r22148);
        mpfr_init_set_str(r22149, "2", 10, MPFR_RNDN);
        mpfr_init(r22150);
        mpfr_init(r22151);
        mpfr_init(r22152);
        mpfr_init(r22153);
        mpfr_init(r22154);
        mpfr_init(r22155);
        mpfr_init(r22156);
        mpfr_init(r22157);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r22146, k, MPFR_RNDN);
        mpfr_sqrt(r22147, r22146, MPFR_RNDN);
        mpfr_div(r22148, r22145, r22147, MPFR_RNDN);
        ;
        mpfr_const_pi(r22150, MPFR_RNDN);
        mpfr_mul(r22151, r22149, r22150, MPFR_RNDN);
        mpfr_set_d(r22152, n, MPFR_RNDN);
        mpfr_mul(r22153, r22151, r22152, MPFR_RNDN);
        mpfr_sub(r22154, r22145, r22146, MPFR_RNDN);
        mpfr_div(r22155, r22154, r22149, MPFR_RNDN);
        mpfr_pow(r22156, r22153, r22155, MPFR_RNDN);
        mpfr_mul(r22157, r22148, r22156, MPFR_RNDN);
        return mpfr_get_d(r22157, MPFR_RNDN);
}

static mpfr_t r22158, r22159, r22160, r22161, r22162, r22163, r22164, r22165, r22166, r22167, r22168, r22169, r22170, r22171;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22158);
        mpfr_init(r22159);
        mpfr_init(r22160);
        mpfr_init(r22161);
        mpfr_init_set_str(r22162, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22163, "2", 10, MPFR_RNDN);
        mpfr_init(r22164);
        mpfr_init(r22165);
        mpfr_init(r22166);
        mpfr_init(r22167);
        mpfr_init(r22168);
        mpfr_init(r22169);
        mpfr_init(r22170);
        mpfr_init(r22171);
}

double f_fm(double k, double n) {
        mpfr_set_d(r22158, n, MPFR_RNDN);
        mpfr_const_pi(r22159, MPFR_RNDN);
        mpfr_add(r22160, r22159, r22159, MPFR_RNDN);
        mpfr_mul(r22161, r22158, r22160, MPFR_RNDN);
        ;
        ;
        mpfr_div(r22164, r22162, r22163, MPFR_RNDN);
        mpfr_pow(r22165, r22161, r22164, MPFR_RNDN);
        mpfr_set_d(r22166, k, MPFR_RNDN);
        mpfr_div(r22167, r22166, r22163, MPFR_RNDN);
        mpfr_pow(r22168, r22161, r22167, MPFR_RNDN);
        mpfr_div(r22169, r22165, r22168, MPFR_RNDN);
        mpfr_sqrt(r22170, r22166, MPFR_RNDN);
        mpfr_div(r22171, r22169, r22170, MPFR_RNDN);
        return mpfr_get_d(r22171, MPFR_RNDN);
}

static mpfr_t r22172, r22173, r22174, r22175, r22176, r22177, r22178, r22179, r22180, r22181, r22182, r22183, r22184, r22185;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22172);
        mpfr_init(r22173);
        mpfr_init(r22174);
        mpfr_init(r22175);
        mpfr_init_set_str(r22176, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22177, "2", 10, MPFR_RNDN);
        mpfr_init(r22178);
        mpfr_init(r22179);
        mpfr_init(r22180);
        mpfr_init(r22181);
        mpfr_init(r22182);
        mpfr_init(r22183);
        mpfr_init(r22184);
        mpfr_init(r22185);
}

double f_dm(double k, double n) {
        mpfr_set_d(r22172, n, MPFR_RNDN);
        mpfr_const_pi(r22173, MPFR_RNDN);
        mpfr_add(r22174, r22173, r22173, MPFR_RNDN);
        mpfr_mul(r22175, r22172, r22174, MPFR_RNDN);
        ;
        ;
        mpfr_div(r22178, r22176, r22177, MPFR_RNDN);
        mpfr_pow(r22179, r22175, r22178, MPFR_RNDN);
        mpfr_set_d(r22180, k, MPFR_RNDN);
        mpfr_div(r22181, r22180, r22177, MPFR_RNDN);
        mpfr_pow(r22182, r22175, r22181, MPFR_RNDN);
        mpfr_div(r22183, r22179, r22182, MPFR_RNDN);
        mpfr_sqrt(r22184, r22180, MPFR_RNDN);
        mpfr_div(r22185, r22183, r22184, MPFR_RNDN);
        return mpfr_get_d(r22185, MPFR_RNDN);
}