#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 r22536 = 1;
        float r22537 = k;
        float r22538 = sqrt(r22537);
        float r22539 = r22536 / r22538;
        float r22540 = 2;
        float r22541 = atan2(1.0, 0.0);
        float r22542 = r22540 * r22541;
        float r22543 = n;
        float r22544 = r22542 * r22543;
        float r22545 = r22536 - r22537;
        float r22546 = r22545 / r22540;
        float r22547 = pow(r22544, r22546);
        float r22548 = r22539 * r22547;
        return r22548;
}

double f_id(double k, double n) {
        double r22549 = 1;
        double r22550 = k;
        double r22551 = sqrt(r22550);
        double r22552 = r22549 / r22551;
        double r22553 = 2;
        double r22554 = atan2(1.0, 0.0);
        double r22555 = r22553 * r22554;
        double r22556 = n;
        double r22557 = r22555 * r22556;
        double r22558 = r22549 - r22550;
        double r22559 = r22558 / r22553;
        double r22560 = pow(r22557, r22559);
        double r22561 = r22552 * r22560;
        return r22561;
}


double f_of(float k, float n) {
        float r22562 = n;
        float r22563 = r22562 + r22562;
        float r22564 = sqrt(r22563);
        float r22565 = atan2(1.0, 0.0);
        float r22566 = r22564 * r22565;
        float r22567 = r22564 * r22566;
        float r22568 = 1;
        float r22569 = 2;
        float r22570 = r22568 / r22569;
        float r22571 = pow(r22567, r22570);
        float r22572 = r22563 * r22565;
        float r22573 = k;
        float r22574 = r22573 / r22569;
        float r22575 = pow(r22572, r22574);
        float r22576 = r22571 / r22575;
        float r22577 = sqrt(r22573);
        float r22578 = r22576 / r22577;
        return r22578;
}

double f_od(double k, double n) {
        double r22579 = n;
        double r22580 = r22579 + r22579;
        double r22581 = sqrt(r22580);
        double r22582 = atan2(1.0, 0.0);
        double r22583 = r22581 * r22582;
        double r22584 = r22581 * r22583;
        double r22585 = 1;
        double r22586 = 2;
        double r22587 = r22585 / r22586;
        double r22588 = pow(r22584, r22587);
        double r22589 = r22580 * r22582;
        double r22590 = k;
        double r22591 = r22590 / r22586;
        double r22592 = pow(r22589, r22591);
        double r22593 = r22588 / r22592;
        double r22594 = sqrt(r22590);
        double r22595 = r22593 / r22594;
        return r22595;
}

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 r22596, r22597, r22598, r22599, r22600, r22601, r22602, r22603, r22604, r22605, r22606, r22607, r22608;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r22596, "1", 10, MPFR_RNDN);
        mpfr_init(r22597);
        mpfr_init(r22598);
        mpfr_init(r22599);
        mpfr_init_set_str(r22600, "2", 10, MPFR_RNDN);
        mpfr_init(r22601);
        mpfr_init(r22602);
        mpfr_init(r22603);
        mpfr_init(r22604);
        mpfr_init(r22605);
        mpfr_init(r22606);
        mpfr_init(r22607);
        mpfr_init(r22608);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r22597, k, MPFR_RNDN);
        mpfr_sqrt(r22598, r22597, MPFR_RNDN);
        mpfr_div(r22599, r22596, r22598, MPFR_RNDN);
        ;
        mpfr_const_pi(r22601, MPFR_RNDN);
        mpfr_mul(r22602, r22600, r22601, MPFR_RNDN);
        mpfr_set_d(r22603, n, MPFR_RNDN);
        mpfr_mul(r22604, r22602, r22603, MPFR_RNDN);
        mpfr_sub(r22605, r22596, r22597, MPFR_RNDN);
        mpfr_div(r22606, r22605, r22600, MPFR_RNDN);
        mpfr_pow(r22607, r22604, r22606, MPFR_RNDN);
        mpfr_mul(r22608, r22599, r22607, MPFR_RNDN);
        return mpfr_get_d(r22608, MPFR_RNDN);
}

static mpfr_t r22609, r22610, r22611, r22612, r22613, r22614, r22615, r22616, r22617, r22618, r22619, r22620, r22621, r22622, r22623, r22624, r22625;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22609);
        mpfr_init(r22610);
        mpfr_init(r22611);
        mpfr_init(r22612);
        mpfr_init(r22613);
        mpfr_init(r22614);
        mpfr_init_set_str(r22615, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22616, "2", 10, MPFR_RNDN);
        mpfr_init(r22617);
        mpfr_init(r22618);
        mpfr_init(r22619);
        mpfr_init(r22620);
        mpfr_init(r22621);
        mpfr_init(r22622);
        mpfr_init(r22623);
        mpfr_init(r22624);
        mpfr_init(r22625);
}

double f_fm(double k, double n) {
        mpfr_set_d(r22609, n, MPFR_RNDN);
        mpfr_add(r22610, r22609, r22609, MPFR_RNDN);
        mpfr_sqrt(r22611, r22610, MPFR_RNDN);
        mpfr_const_pi(r22612, MPFR_RNDN);
        mpfr_mul(r22613, r22611, r22612, MPFR_RNDN);
        mpfr_mul(r22614, r22611, r22613, MPFR_RNDN);
        ;
        ;
        mpfr_div(r22617, r22615, r22616, MPFR_RNDN);
        mpfr_pow(r22618, r22614, r22617, MPFR_RNDN);
        mpfr_mul(r22619, r22610, r22612, MPFR_RNDN);
        mpfr_set_d(r22620, k, MPFR_RNDN);
        mpfr_div(r22621, r22620, r22616, MPFR_RNDN);
        mpfr_pow(r22622, r22619, r22621, MPFR_RNDN);
        mpfr_div(r22623, r22618, r22622, MPFR_RNDN);
        mpfr_sqrt(r22624, r22620, MPFR_RNDN);
        mpfr_div(r22625, r22623, r22624, MPFR_RNDN);
        return mpfr_get_d(r22625, MPFR_RNDN);
}

static mpfr_t r22626, r22627, r22628, r22629, r22630, r22631, r22632, r22633, r22634, r22635, r22636, r22637, r22638, r22639, r22640, r22641, r22642;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22626);
        mpfr_init(r22627);
        mpfr_init(r22628);
        mpfr_init(r22629);
        mpfr_init(r22630);
        mpfr_init(r22631);
        mpfr_init_set_str(r22632, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22633, "2", 10, MPFR_RNDN);
        mpfr_init(r22634);
        mpfr_init(r22635);
        mpfr_init(r22636);
        mpfr_init(r22637);
        mpfr_init(r22638);
        mpfr_init(r22639);
        mpfr_init(r22640);
        mpfr_init(r22641);
        mpfr_init(r22642);
}

double f_dm(double k, double n) {
        mpfr_set_d(r22626, n, MPFR_RNDN);
        mpfr_add(r22627, r22626, r22626, MPFR_RNDN);
        mpfr_sqrt(r22628, r22627, MPFR_RNDN);
        mpfr_const_pi(r22629, MPFR_RNDN);
        mpfr_mul(r22630, r22628, r22629, MPFR_RNDN);
        mpfr_mul(r22631, r22628, r22630, MPFR_RNDN);
        ;
        ;
        mpfr_div(r22634, r22632, r22633, MPFR_RNDN);
        mpfr_pow(r22635, r22631, r22634, MPFR_RNDN);
        mpfr_mul(r22636, r22627, r22629, MPFR_RNDN);
        mpfr_set_d(r22637, k, MPFR_RNDN);
        mpfr_div(r22638, r22637, r22633, MPFR_RNDN);
        mpfr_pow(r22639, r22636, r22638, MPFR_RNDN);
        mpfr_div(r22640, r22635, r22639, MPFR_RNDN);
        mpfr_sqrt(r22641, r22637, MPFR_RNDN);
        mpfr_div(r22642, r22640, r22641, MPFR_RNDN);
        return mpfr_get_d(r22642, MPFR_RNDN);
}

