#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 r25921 = 1;
        float r25922 = k;
        float r25923 = sqrt(r25922);
        float r25924 = r25921 / r25923;
        float r25925 = 2;
        float r25926 = atan2(1.0, 0.0);
        float r25927 = r25925 * r25926;
        float r25928 = n;
        float r25929 = r25927 * r25928;
        float r25930 = r25921 - r25922;
        float r25931 = r25930 / r25925;
        float r25932 = pow(r25929, r25931);
        float r25933 = r25924 * r25932;
        return r25933;
}

double f_id(double k, double n) {
        double r25934 = 1;
        double r25935 = k;
        double r25936 = sqrt(r25935);
        double r25937 = r25934 / r25936;
        double r25938 = 2;
        double r25939 = atan2(1.0, 0.0);
        double r25940 = r25938 * r25939;
        double r25941 = n;
        double r25942 = r25940 * r25941;
        double r25943 = r25934 - r25935;
        double r25944 = r25943 / r25938;
        double r25945 = pow(r25942, r25944);
        double r25946 = r25937 * r25945;
        return r25946;
}


double f_of(float k, float n) {
        float r25947 = n;
        float r25948 = atan2(1.0, 0.0);
        float r25949 = 2;
        float r25950 = r25948 * r25949;
        float r25951 = r25947 * r25950;
        float r25952 = 1;
        float r25953 = k;
        float r25954 = r25952 - r25953;
        float r25955 = r25954 / r25949;
        float r25956 = pow(r25951, r25955);
        float r25957 = sqrt(r25956);
        float r25958 = r25957 * r25957;
        float r25959 = sqrt(r25953);
        float r25960 = r25958 / r25959;
        return r25960;
}

double f_od(double k, double n) {
        double r25961 = n;
        double r25962 = atan2(1.0, 0.0);
        double r25963 = 2;
        double r25964 = r25962 * r25963;
        double r25965 = r25961 * r25964;
        double r25966 = 1;
        double r25967 = k;
        double r25968 = r25966 - r25967;
        double r25969 = r25968 / r25963;
        double r25970 = pow(r25965, r25969);
        double r25971 = sqrt(r25970);
        double r25972 = r25971 * r25971;
        double r25973 = sqrt(r25967);
        double r25974 = r25972 / r25973;
        return r25974;
}

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 r25975, r25976, r25977, r25978, r25979, r25980, r25981, r25982, r25983, r25984, r25985, r25986, r25987;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r25975, "1", 10, MPFR_RNDN);
        mpfr_init(r25976);
        mpfr_init(r25977);
        mpfr_init(r25978);
        mpfr_init_set_str(r25979, "2", 10, MPFR_RNDN);
        mpfr_init(r25980);
        mpfr_init(r25981);
        mpfr_init(r25982);
        mpfr_init(r25983);
        mpfr_init(r25984);
        mpfr_init(r25985);
        mpfr_init(r25986);
        mpfr_init(r25987);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r25976, k, MPFR_RNDN);
        mpfr_sqrt(r25977, r25976, MPFR_RNDN);
        mpfr_div(r25978, r25975, r25977, MPFR_RNDN);
        ;
        mpfr_const_pi(r25980, MPFR_RNDN);
        mpfr_mul(r25981, r25979, r25980, MPFR_RNDN);
        mpfr_set_d(r25982, n, MPFR_RNDN);
        mpfr_mul(r25983, r25981, r25982, MPFR_RNDN);
        mpfr_sub(r25984, r25975, r25976, MPFR_RNDN);
        mpfr_div(r25985, r25984, r25979, MPFR_RNDN);
        mpfr_pow(r25986, r25983, r25985, MPFR_RNDN);
        mpfr_mul(r25987, r25978, r25986, MPFR_RNDN);
        return mpfr_get_d(r25987, MPFR_RNDN);
}

static mpfr_t r25988, r25989, r25990, r25991, r25992, r25993, r25994, r25995, r25996, r25997, r25998, r25999, r26000, r26001;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25988);
        mpfr_init(r25989);
        mpfr_init_set_str(r25990, "2", 10, MPFR_RNDN);
        mpfr_init(r25991);
        mpfr_init(r25992);
        mpfr_init_set_str(r25993, "1", 10, MPFR_RNDN);
        mpfr_init(r25994);
        mpfr_init(r25995);
        mpfr_init(r25996);
        mpfr_init(r25997);
        mpfr_init(r25998);
        mpfr_init(r25999);
        mpfr_init(r26000);
        mpfr_init(r26001);
}

double f_fm(double k, double n) {
        mpfr_set_d(r25988, n, MPFR_RNDN);
        mpfr_const_pi(r25989, MPFR_RNDN);
        ;
        mpfr_mul(r25991, r25989, r25990, MPFR_RNDN);
        mpfr_mul(r25992, r25988, r25991, MPFR_RNDN);
        ;
        mpfr_set_d(r25994, k, MPFR_RNDN);
        mpfr_sub(r25995, r25993, r25994, MPFR_RNDN);
        mpfr_div(r25996, r25995, r25990, MPFR_RNDN);
        mpfr_pow(r25997, r25992, r25996, MPFR_RNDN);
        mpfr_sqrt(r25998, r25997, MPFR_RNDN);
        mpfr_mul(r25999, r25998, r25998, MPFR_RNDN);
        mpfr_sqrt(r26000, r25994, MPFR_RNDN);
        mpfr_div(r26001, r25999, r26000, MPFR_RNDN);
        return mpfr_get_d(r26001, MPFR_RNDN);
}

static mpfr_t r26002, r26003, r26004, r26005, r26006, r26007, r26008, r26009, r26010, r26011, r26012, r26013, r26014, r26015;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r26002);
        mpfr_init(r26003);
        mpfr_init_set_str(r26004, "2", 10, MPFR_RNDN);
        mpfr_init(r26005);
        mpfr_init(r26006);
        mpfr_init_set_str(r26007, "1", 10, MPFR_RNDN);
        mpfr_init(r26008);
        mpfr_init(r26009);
        mpfr_init(r26010);
        mpfr_init(r26011);
        mpfr_init(r26012);
        mpfr_init(r26013);
        mpfr_init(r26014);
        mpfr_init(r26015);
}

double f_dm(double k, double n) {
        mpfr_set_d(r26002, n, MPFR_RNDN);
        mpfr_const_pi(r26003, MPFR_RNDN);
        ;
        mpfr_mul(r26005, r26003, r26004, MPFR_RNDN);
        mpfr_mul(r26006, r26002, r26005, MPFR_RNDN);
        ;
        mpfr_set_d(r26008, k, MPFR_RNDN);
        mpfr_sub(r26009, r26007, r26008, MPFR_RNDN);
        mpfr_div(r26010, r26009, r26004, MPFR_RNDN);
        mpfr_pow(r26011, r26006, r26010, MPFR_RNDN);
        mpfr_sqrt(r26012, r26011, MPFR_RNDN);
        mpfr_mul(r26013, r26012, r26012, MPFR_RNDN);
        mpfr_sqrt(r26014, r26008, MPFR_RNDN);
        mpfr_div(r26015, r26013, r26014, MPFR_RNDN);
        return mpfr_get_d(r26015, MPFR_RNDN);
}