#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 r25675 = 1;
        float r25676 = k;
        float r25677 = sqrt(r25676);
        float r25678 = r25675 / r25677;
        float r25679 = 2;
        float r25680 = atan2(1.0, 0.0);
        float r25681 = r25679 * r25680;
        float r25682 = n;
        float r25683 = r25681 * r25682;
        float r25684 = r25675 - r25676;
        float r25685 = r25684 / r25679;
        float r25686 = pow(r25683, r25685);
        float r25687 = r25678 * r25686;
        return r25687;
}

double f_id(double k, double n) {
        double r25688 = 1;
        double r25689 = k;
        double r25690 = sqrt(r25689);
        double r25691 = r25688 / r25690;
        double r25692 = 2;
        double r25693 = atan2(1.0, 0.0);
        double r25694 = r25692 * r25693;
        double r25695 = n;
        double r25696 = r25694 * r25695;
        double r25697 = r25688 - r25689;
        double r25698 = r25697 / r25692;
        double r25699 = pow(r25696, r25698);
        double r25700 = r25691 * r25699;
        return r25700;
}


double f_of(float k, float n) {
        float r25701 = n;
        float r25702 = atan2(1.0, 0.0);
        float r25703 = 2;
        float r25704 = r25702 * r25703;
        float r25705 = r25701 * r25704;
        float r25706 = 1;
        float r25707 = r25706 / r25703;
        float r25708 = pow(r25705, r25707);
        float r25709 = k;
        float r25710 = r25709 / r25703;
        float r25711 = pow(r25705, r25710);
        float r25712 = r25708 / r25711;
        float r25713 = sqrt(r25709);
        float r25714 = r25712 / r25713;
        return r25714;
}

double f_od(double k, double n) {
        double r25715 = n;
        double r25716 = atan2(1.0, 0.0);
        double r25717 = 2;
        double r25718 = r25716 * r25717;
        double r25719 = r25715 * r25718;
        double r25720 = 1;
        double r25721 = r25720 / r25717;
        double r25722 = pow(r25719, r25721);
        double r25723 = k;
        double r25724 = r25723 / r25717;
        double r25725 = pow(r25719, r25724);
        double r25726 = r25722 / r25725;
        double r25727 = sqrt(r25723);
        double r25728 = r25726 / r25727;
        return r25728;
}

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 r25729, r25730, r25731, r25732, r25733, r25734, r25735, r25736, r25737, r25738, r25739, r25740, r25741;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r25729, "1", 10, MPFR_RNDN);
        mpfr_init(r25730);
        mpfr_init(r25731);
        mpfr_init(r25732);
        mpfr_init_set_str(r25733, "2", 10, MPFR_RNDN);
        mpfr_init(r25734);
        mpfr_init(r25735);
        mpfr_init(r25736);
        mpfr_init(r25737);
        mpfr_init(r25738);
        mpfr_init(r25739);
        mpfr_init(r25740);
        mpfr_init(r25741);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r25730, k, MPFR_RNDN);
        mpfr_sqrt(r25731, r25730, MPFR_RNDN);
        mpfr_div(r25732, r25729, r25731, MPFR_RNDN);
        ;
        mpfr_const_pi(r25734, MPFR_RNDN);
        mpfr_mul(r25735, r25733, r25734, MPFR_RNDN);
        mpfr_set_d(r25736, n, MPFR_RNDN);
        mpfr_mul(r25737, r25735, r25736, MPFR_RNDN);
        mpfr_sub(r25738, r25729, r25730, MPFR_RNDN);
        mpfr_div(r25739, r25738, r25733, MPFR_RNDN);
        mpfr_pow(r25740, r25737, r25739, MPFR_RNDN);
        mpfr_mul(r25741, r25732, r25740, MPFR_RNDN);
        return mpfr_get_d(r25741, MPFR_RNDN);
}

static mpfr_t r25742, r25743, r25744, r25745, r25746, r25747, r25748, r25749, r25750, r25751, r25752, r25753, r25754, r25755;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25742);
        mpfr_init(r25743);
        mpfr_init_set_str(r25744, "2", 10, MPFR_RNDN);
        mpfr_init(r25745);
        mpfr_init(r25746);
        mpfr_init_set_str(r25747, "1", 10, MPFR_RNDN);
        mpfr_init(r25748);
        mpfr_init(r25749);
        mpfr_init(r25750);
        mpfr_init(r25751);
        mpfr_init(r25752);
        mpfr_init(r25753);
        mpfr_init(r25754);
        mpfr_init(r25755);
}

double f_fm(double k, double n) {
        mpfr_set_d(r25742, n, MPFR_RNDN);
        mpfr_const_pi(r25743, MPFR_RNDN);
        ;
        mpfr_mul(r25745, r25743, r25744, MPFR_RNDN);
        mpfr_mul(r25746, r25742, r25745, MPFR_RNDN);
        ;
        mpfr_div(r25748, r25747, r25744, MPFR_RNDN);
        mpfr_pow(r25749, r25746, r25748, MPFR_RNDN);
        mpfr_set_d(r25750, k, MPFR_RNDN);
        mpfr_div(r25751, r25750, r25744, MPFR_RNDN);
        mpfr_pow(r25752, r25746, r25751, MPFR_RNDN);
        mpfr_div(r25753, r25749, r25752, MPFR_RNDN);
        mpfr_sqrt(r25754, r25750, MPFR_RNDN);
        mpfr_div(r25755, r25753, r25754, MPFR_RNDN);
        return mpfr_get_d(r25755, MPFR_RNDN);
}

static mpfr_t r25756, r25757, r25758, r25759, r25760, r25761, r25762, r25763, r25764, r25765, r25766, r25767, r25768, r25769;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25756);
        mpfr_init(r25757);
        mpfr_init_set_str(r25758, "2", 10, MPFR_RNDN);
        mpfr_init(r25759);
        mpfr_init(r25760);
        mpfr_init_set_str(r25761, "1", 10, MPFR_RNDN);
        mpfr_init(r25762);
        mpfr_init(r25763);
        mpfr_init(r25764);
        mpfr_init(r25765);
        mpfr_init(r25766);
        mpfr_init(r25767);
        mpfr_init(r25768);
        mpfr_init(r25769);
}

double f_dm(double k, double n) {
        mpfr_set_d(r25756, n, MPFR_RNDN);
        mpfr_const_pi(r25757, MPFR_RNDN);
        ;
        mpfr_mul(r25759, r25757, r25758, MPFR_RNDN);
        mpfr_mul(r25760, r25756, r25759, MPFR_RNDN);
        ;
        mpfr_div(r25762, r25761, r25758, MPFR_RNDN);
        mpfr_pow(r25763, r25760, r25762, MPFR_RNDN);
        mpfr_set_d(r25764, k, MPFR_RNDN);
        mpfr_div(r25765, r25764, r25758, MPFR_RNDN);
        mpfr_pow(r25766, r25760, r25765, MPFR_RNDN);
        mpfr_div(r25767, r25763, r25766, MPFR_RNDN);
        mpfr_sqrt(r25768, r25764, MPFR_RNDN);
        mpfr_div(r25769, r25767, r25768, MPFR_RNDN);
        return mpfr_get_d(r25769, MPFR_RNDN);
}