#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 r9439 = 1;
        float r9440 = k;
        float r9441 = sqrt(r9440);
        float r9442 = r9439 / r9441;
        float r9443 = 2;
        float r9444 = atan2(1.0, 0.0);
        float r9445 = r9443 * r9444;
        float r9446 = n;
        float r9447 = r9445 * r9446;
        float r9448 = r9439 - r9440;
        float r9449 = r9448 / r9443;
        float r9450 = pow(r9447, r9449);
        float r9451 = r9442 * r9450;
        return r9451;
}

double f_id(double k, double n) {
        double r9452 = 1;
        double r9453 = k;
        double r9454 = sqrt(r9453);
        double r9455 = r9452 / r9454;
        double r9456 = 2;
        double r9457 = atan2(1.0, 0.0);
        double r9458 = r9456 * r9457;
        double r9459 = n;
        double r9460 = r9458 * r9459;
        double r9461 = r9452 - r9453;
        double r9462 = r9461 / r9456;
        double r9463 = pow(r9460, r9462);
        double r9464 = r9455 * r9463;
        return r9464;
}


double f_of(float k, float n) {
        float r9465 = n;
        float r9466 = atan2(1.0, 0.0);
        float r9467 = r9465 * r9466;
        float r9468 = sqrt(r9467);
        float r9469 = r9468 * r9468;
        float r9470 = 2;
        float r9471 = r9469 * r9470;
        float r9472 = 1;
        float r9473 = r9472 / r9470;
        float r9474 = pow(r9471, r9473);
        float r9475 = r9467 * r9470;
        float r9476 = k;
        float r9477 = r9476 / r9470;
        float r9478 = pow(r9475, r9477);
        float r9479 = r9474 / r9478;
        float r9480 = sqrt(r9476);
        float r9481 = r9479 / r9480;
        return r9481;
}

double f_od(double k, double n) {
        double r9482 = n;
        double r9483 = atan2(1.0, 0.0);
        double r9484 = r9482 * r9483;
        double r9485 = sqrt(r9484);
        double r9486 = r9485 * r9485;
        double r9487 = 2;
        double r9488 = r9486 * r9487;
        double r9489 = 1;
        double r9490 = r9489 / r9487;
        double r9491 = pow(r9488, r9490);
        double r9492 = r9484 * r9487;
        double r9493 = k;
        double r9494 = r9493 / r9487;
        double r9495 = pow(r9492, r9494);
        double r9496 = r9491 / r9495;
        double r9497 = sqrt(r9493);
        double r9498 = r9496 / r9497;
        return r9498;
}

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 r9499, r9500, r9501, r9502, r9503, r9504, r9505, r9506, r9507, r9508, r9509, r9510, r9511;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r9499, "1", 10, MPFR_RNDN);
        mpfr_init(r9500);
        mpfr_init(r9501);
        mpfr_init(r9502);
        mpfr_init_set_str(r9503, "2", 10, MPFR_RNDN);
        mpfr_init(r9504);
        mpfr_init(r9505);
        mpfr_init(r9506);
        mpfr_init(r9507);
        mpfr_init(r9508);
        mpfr_init(r9509);
        mpfr_init(r9510);
        mpfr_init(r9511);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r9500, k, MPFR_RNDN);
        mpfr_sqrt(r9501, r9500, MPFR_RNDN);
        mpfr_div(r9502, r9499, r9501, MPFR_RNDN);
        ;
        mpfr_const_pi(r9504, MPFR_RNDN);
        mpfr_mul(r9505, r9503, r9504, MPFR_RNDN);
        mpfr_set_d(r9506, n, MPFR_RNDN);
        mpfr_mul(r9507, r9505, r9506, MPFR_RNDN);
        mpfr_sub(r9508, r9499, r9500, MPFR_RNDN);
        mpfr_div(r9509, r9508, r9503, MPFR_RNDN);
        mpfr_pow(r9510, r9507, r9509, MPFR_RNDN);
        mpfr_mul(r9511, r9502, r9510, MPFR_RNDN);
        return mpfr_get_d(r9511, MPFR_RNDN);
}

static mpfr_t r9512, r9513, r9514, r9515, r9516, r9517, r9518, r9519, r9520, r9521, r9522, r9523, r9524, r9525, r9526, r9527, r9528;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r9512);
        mpfr_init(r9513);
        mpfr_init(r9514);
        mpfr_init(r9515);
        mpfr_init(r9516);
        mpfr_init_set_str(r9517, "2", 10, MPFR_RNDN);
        mpfr_init(r9518);
        mpfr_init_set_str(r9519, "1", 10, MPFR_RNDN);
        mpfr_init(r9520);
        mpfr_init(r9521);
        mpfr_init(r9522);
        mpfr_init(r9523);
        mpfr_init(r9524);
        mpfr_init(r9525);
        mpfr_init(r9526);
        mpfr_init(r9527);
        mpfr_init(r9528);
}

double f_fm(double k, double n) {
        mpfr_set_d(r9512, n, MPFR_RNDN);
        mpfr_const_pi(r9513, MPFR_RNDN);
        mpfr_mul(r9514, r9512, r9513, MPFR_RNDN);
        mpfr_sqrt(r9515, r9514, MPFR_RNDN);
        mpfr_mul(r9516, r9515, r9515, MPFR_RNDN);
        ;
        mpfr_mul(r9518, r9516, r9517, MPFR_RNDN);
        ;
        mpfr_div(r9520, r9519, r9517, MPFR_RNDN);
        mpfr_pow(r9521, r9518, r9520, MPFR_RNDN);
        mpfr_mul(r9522, r9514, r9517, MPFR_RNDN);
        mpfr_set_d(r9523, k, MPFR_RNDN);
        mpfr_div(r9524, r9523, r9517, MPFR_RNDN);
        mpfr_pow(r9525, r9522, r9524, MPFR_RNDN);
        mpfr_div(r9526, r9521, r9525, MPFR_RNDN);
        mpfr_sqrt(r9527, r9523, MPFR_RNDN);
        mpfr_div(r9528, r9526, r9527, MPFR_RNDN);
        return mpfr_get_d(r9528, MPFR_RNDN);
}

static mpfr_t r9529, r9530, r9531, r9532, r9533, r9534, r9535, r9536, r9537, r9538, r9539, r9540, r9541, r9542, r9543, r9544, r9545;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r9529);
        mpfr_init(r9530);
        mpfr_init(r9531);
        mpfr_init(r9532);
        mpfr_init(r9533);
        mpfr_init_set_str(r9534, "2", 10, MPFR_RNDN);
        mpfr_init(r9535);
        mpfr_init_set_str(r9536, "1", 10, MPFR_RNDN);
        mpfr_init(r9537);
        mpfr_init(r9538);
        mpfr_init(r9539);
        mpfr_init(r9540);
        mpfr_init(r9541);
        mpfr_init(r9542);
        mpfr_init(r9543);
        mpfr_init(r9544);
        mpfr_init(r9545);
}

double f_dm(double k, double n) {
        mpfr_set_d(r9529, n, MPFR_RNDN);
        mpfr_const_pi(r9530, MPFR_RNDN);
        mpfr_mul(r9531, r9529, r9530, MPFR_RNDN);
        mpfr_sqrt(r9532, r9531, MPFR_RNDN);
        mpfr_mul(r9533, r9532, r9532, MPFR_RNDN);
        ;
        mpfr_mul(r9535, r9533, r9534, MPFR_RNDN);
        ;
        mpfr_div(r9537, r9536, r9534, MPFR_RNDN);
        mpfr_pow(r9538, r9535, r9537, MPFR_RNDN);
        mpfr_mul(r9539, r9531, r9534, MPFR_RNDN);
        mpfr_set_d(r9540, k, MPFR_RNDN);
        mpfr_div(r9541, r9540, r9534, MPFR_RNDN);
        mpfr_pow(r9542, r9539, r9541, MPFR_RNDN);
        mpfr_div(r9543, r9538, r9542, MPFR_RNDN);
        mpfr_sqrt(r9544, r9540, MPFR_RNDN);
        mpfr_div(r9545, r9543, r9544, MPFR_RNDN);
        return mpfr_get_d(r9545, MPFR_RNDN);
}

