#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 r25562 = 1;
        float r25563 = k;
        float r25564 = sqrt(r25563);
        float r25565 = r25562 / r25564;
        float r25566 = 2;
        float r25567 = atan2(1.0, 0.0);
        float r25568 = r25566 * r25567;
        float r25569 = n;
        float r25570 = r25568 * r25569;
        float r25571 = r25562 - r25563;
        float r25572 = r25571 / r25566;
        float r25573 = pow(r25570, r25572);
        float r25574 = r25565 * r25573;
        return r25574;
}

double f_id(double k, double n) {
        double r25575 = 1;
        double r25576 = k;
        double r25577 = sqrt(r25576);
        double r25578 = r25575 / r25577;
        double r25579 = 2;
        double r25580 = atan2(1.0, 0.0);
        double r25581 = r25579 * r25580;
        double r25582 = n;
        double r25583 = r25581 * r25582;
        double r25584 = r25575 - r25576;
        double r25585 = r25584 / r25579;
        double r25586 = pow(r25583, r25585);
        double r25587 = r25578 * r25586;
        return r25587;
}


double f_of(float k, float n) {
        float r25588 = n;
        float r25589 = atan2(1.0, 0.0);
        float r25590 = 2;
        float r25591 = r25589 * r25590;
        float r25592 = r25588 * r25591;
        float r25593 = 1;
        float r25594 = r25593 / r25590;
        float r25595 = pow(r25592, r25594);
        float r25596 = k;
        float r25597 = r25596 / r25590;
        float r25598 = pow(r25592, r25597);
        float r25599 = r25595 / r25598;
        float r25600 = sqrt(r25596);
        float r25601 = r25599 / r25600;
        return r25601;
}

double f_od(double k, double n) {
        double r25602 = n;
        double r25603 = atan2(1.0, 0.0);
        double r25604 = 2;
        double r25605 = r25603 * r25604;
        double r25606 = r25602 * r25605;
        double r25607 = 1;
        double r25608 = r25607 / r25604;
        double r25609 = pow(r25606, r25608);
        double r25610 = k;
        double r25611 = r25610 / r25604;
        double r25612 = pow(r25606, r25611);
        double r25613 = r25609 / r25612;
        double r25614 = sqrt(r25610);
        double r25615 = r25613 / r25614;
        return r25615;
}

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 r25616, r25617, r25618, r25619, r25620, r25621, r25622, r25623, r25624, r25625, r25626, r25627, r25628;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r25616, "1", 10, MPFR_RNDN);
        mpfr_init(r25617);
        mpfr_init(r25618);
        mpfr_init(r25619);
        mpfr_init_set_str(r25620, "2", 10, MPFR_RNDN);
        mpfr_init(r25621);
        mpfr_init(r25622);
        mpfr_init(r25623);
        mpfr_init(r25624);
        mpfr_init(r25625);
        mpfr_init(r25626);
        mpfr_init(r25627);
        mpfr_init(r25628);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r25617, k, MPFR_RNDN);
        mpfr_sqrt(r25618, r25617, MPFR_RNDN);
        mpfr_div(r25619, r25616, r25618, MPFR_RNDN);
        ;
        mpfr_const_pi(r25621, MPFR_RNDN);
        mpfr_mul(r25622, r25620, r25621, MPFR_RNDN);
        mpfr_set_d(r25623, n, MPFR_RNDN);
        mpfr_mul(r25624, r25622, r25623, MPFR_RNDN);
        mpfr_sub(r25625, r25616, r25617, MPFR_RNDN);
        mpfr_div(r25626, r25625, r25620, MPFR_RNDN);
        mpfr_pow(r25627, r25624, r25626, MPFR_RNDN);
        mpfr_mul(r25628, r25619, r25627, MPFR_RNDN);
        return mpfr_get_d(r25628, MPFR_RNDN);
}

static mpfr_t r25629, r25630, r25631, r25632, r25633, r25634, r25635, r25636, r25637, r25638, r25639, r25640, r25641, r25642;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25629);
        mpfr_init(r25630);
        mpfr_init_set_str(r25631, "2", 10, MPFR_RNDN);
        mpfr_init(r25632);
        mpfr_init(r25633);
        mpfr_init_set_str(r25634, "1", 10, MPFR_RNDN);
        mpfr_init(r25635);
        mpfr_init(r25636);
        mpfr_init(r25637);
        mpfr_init(r25638);
        mpfr_init(r25639);
        mpfr_init(r25640);
        mpfr_init(r25641);
        mpfr_init(r25642);
}

double f_fm(double k, double n) {
        mpfr_set_d(r25629, n, MPFR_RNDN);
        mpfr_const_pi(r25630, MPFR_RNDN);
        ;
        mpfr_mul(r25632, r25630, r25631, MPFR_RNDN);
        mpfr_mul(r25633, r25629, r25632, MPFR_RNDN);
        ;
        mpfr_div(r25635, r25634, r25631, MPFR_RNDN);
        mpfr_pow(r25636, r25633, r25635, MPFR_RNDN);
        mpfr_set_d(r25637, k, MPFR_RNDN);
        mpfr_div(r25638, r25637, r25631, MPFR_RNDN);
        mpfr_pow(r25639, r25633, r25638, MPFR_RNDN);
        mpfr_div(r25640, r25636, r25639, MPFR_RNDN);
        mpfr_sqrt(r25641, r25637, MPFR_RNDN);
        mpfr_div(r25642, r25640, r25641, MPFR_RNDN);
        return mpfr_get_d(r25642, MPFR_RNDN);
}

static mpfr_t r25643, r25644, r25645, r25646, r25647, r25648, r25649, r25650, r25651, r25652, r25653, r25654, r25655, r25656;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25643);
        mpfr_init(r25644);
        mpfr_init_set_str(r25645, "2", 10, MPFR_RNDN);
        mpfr_init(r25646);
        mpfr_init(r25647);
        mpfr_init_set_str(r25648, "1", 10, MPFR_RNDN);
        mpfr_init(r25649);
        mpfr_init(r25650);
        mpfr_init(r25651);
        mpfr_init(r25652);
        mpfr_init(r25653);
        mpfr_init(r25654);
        mpfr_init(r25655);
        mpfr_init(r25656);
}

double f_dm(double k, double n) {
        mpfr_set_d(r25643, n, MPFR_RNDN);
        mpfr_const_pi(r25644, MPFR_RNDN);
        ;
        mpfr_mul(r25646, r25644, r25645, MPFR_RNDN);
        mpfr_mul(r25647, r25643, r25646, MPFR_RNDN);
        ;
        mpfr_div(r25649, r25648, r25645, MPFR_RNDN);
        mpfr_pow(r25650, r25647, r25649, MPFR_RNDN);
        mpfr_set_d(r25651, k, MPFR_RNDN);
        mpfr_div(r25652, r25651, r25645, MPFR_RNDN);
        mpfr_pow(r25653, r25647, r25652, MPFR_RNDN);
        mpfr_div(r25654, r25650, r25653, MPFR_RNDN);
        mpfr_sqrt(r25655, r25651, MPFR_RNDN);
        mpfr_div(r25656, r25654, r25655, MPFR_RNDN);
        return mpfr_get_d(r25656, MPFR_RNDN);
}