#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Toniolo and Linder, Equation (3a)";

double f_if(float l, float Om, float kx, float ky) {
        float r21421 = 1;
        float r21422 = 2;
        float r21423 = r21421 / r21422;
        float r21424 = l;
        float r21425 = r21422 * r21424;
        float r21426 = Om;
        float r21427 = r21425 / r21426;
        float r21428 = pow(r21427, r21422);
        float r21429 = kx;
        float r21430 = sin(r21429);
        float r21431 = pow(r21430, r21422);
        float r21432 = ky;
        float r21433 = sin(r21432);
        float r21434 = pow(r21433, r21422);
        float r21435 = r21431 + r21434;
        float r21436 = r21428 * r21435;
        float r21437 = r21421 + r21436;
        float r21438 = sqrt(r21437);
        float r21439 = r21421 / r21438;
        float r21440 = r21421 + r21439;
        float r21441 = r21423 * r21440;
        float r21442 = sqrt(r21441);
        return r21442;
}

double f_id(double l, double Om, double kx, double ky) {
        double r21443 = 1;
        double r21444 = 2;
        double r21445 = r21443 / r21444;
        double r21446 = l;
        double r21447 = r21444 * r21446;
        double r21448 = Om;
        double r21449 = r21447 / r21448;
        double r21450 = pow(r21449, r21444);
        double r21451 = kx;
        double r21452 = sin(r21451);
        double r21453 = pow(r21452, r21444);
        double r21454 = ky;
        double r21455 = sin(r21454);
        double r21456 = pow(r21455, r21444);
        double r21457 = r21453 + r21456;
        double r21458 = r21450 * r21457;
        double r21459 = r21443 + r21458;
        double r21460 = sqrt(r21459);
        double r21461 = r21443 / r21460;
        double r21462 = r21443 + r21461;
        double r21463 = r21445 * r21462;
        double r21464 = sqrt(r21463);
        return r21464;
}


double f_of(float l, float Om, float kx, float ky) {
        float r21465 = 1;
        float r21466 = 2;
        float r21467 = l;
        float r21468 = r21466 * r21467;
        float r21469 = Om;
        float r21470 = r21468 / r21469;
        float r21471 = kx;
        float r21472 = sin(r21471);
        float r21473 = pow(r21472, r21466);
        float r21474 = ky;
        float r21475 = sin(r21474);
        float r21476 = pow(r21475, r21466);
        float r21477 = r21473 + r21476;
        float r21478 = r21470 * r21477;
        float r21479 = r21470 * r21478;
        float r21480 = r21465 + r21479;
        float r21481 = sqrt(r21480);
        float r21482 = 18590374096471.035;
        bool r21483 = r21481 <= r21482;
        float r21484 = r21465 / r21466;
        float r21485 = r21465 / r21481;
        float r21486 = r21465 + r21485;
        float r21487 = r21484 * r21486;
        float r21488 = sqrt(r21487);
        float r21489 = sqrt(r21484);
        float r21490 = r21483 ? r21488 : r21489;
        return r21490;
}

double f_od(double l, double Om, double kx, double ky) {
        double r21491 = 1;
        double r21492 = 2;
        double r21493 = l;
        double r21494 = r21492 * r21493;
        double r21495 = Om;
        double r21496 = r21494 / r21495;
        double r21497 = kx;
        double r21498 = sin(r21497);
        double r21499 = pow(r21498, r21492);
        double r21500 = ky;
        double r21501 = sin(r21500);
        double r21502 = pow(r21501, r21492);
        double r21503 = r21499 + r21502;
        double r21504 = r21496 * r21503;
        double r21505 = r21496 * r21504;
        double r21506 = r21491 + r21505;
        double r21507 = sqrt(r21506);
        double r21508 = 18590374096471.035;
        bool r21509 = r21507 <= r21508;
        double r21510 = r21491 / r21492;
        double r21511 = r21491 / r21507;
        double r21512 = r21491 + r21511;
        double r21513 = r21510 * r21512;
        double r21514 = sqrt(r21513);
        double r21515 = sqrt(r21510);
        double r21516 = r21509 ? r21514 : r21515;
        return r21516;
}

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 r21517, r21518, r21519, r21520, r21521, r21522, r21523, r21524, r21525, r21526, r21527, r21528, r21529, r21530, r21531, r21532, r21533, r21534, r21535, r21536, r21537, r21538;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21517, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21518, "2", 10, MPFR_RNDN);
        mpfr_init(r21519);
        mpfr_init(r21520);
        mpfr_init(r21521);
        mpfr_init(r21522);
        mpfr_init(r21523);
        mpfr_init(r21524);
        mpfr_init(r21525);
        mpfr_init(r21526);
        mpfr_init(r21527);
        mpfr_init(r21528);
        mpfr_init(r21529);
        mpfr_init(r21530);
        mpfr_init(r21531);
        mpfr_init(r21532);
        mpfr_init(r21533);
        mpfr_init(r21534);
        mpfr_init(r21535);
        mpfr_init(r21536);
        mpfr_init(r21537);
        mpfr_init(r21538);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r21519, r21517, r21518, MPFR_RNDN);
        mpfr_set_d(r21520, l, MPFR_RNDN);
        mpfr_mul(r21521, r21518, r21520, MPFR_RNDN);
        mpfr_set_d(r21522, Om, MPFR_RNDN);
        mpfr_div(r21523, r21521, r21522, MPFR_RNDN);
        mpfr_pow(r21524, r21523, r21518, MPFR_RNDN);
        mpfr_set_d(r21525, kx, MPFR_RNDN);
        mpfr_sin(r21526, r21525, MPFR_RNDN);
        mpfr_pow(r21527, r21526, r21518, MPFR_RNDN);
        mpfr_set_d(r21528, ky, MPFR_RNDN);
        mpfr_sin(r21529, r21528, MPFR_RNDN);
        mpfr_pow(r21530, r21529, r21518, MPFR_RNDN);
        mpfr_add(r21531, r21527, r21530, MPFR_RNDN);
        mpfr_mul(r21532, r21524, r21531, MPFR_RNDN);
        mpfr_add(r21533, r21517, r21532, MPFR_RNDN);
        mpfr_sqrt(r21534, r21533, MPFR_RNDN);
        mpfr_div(r21535, r21517, r21534, MPFR_RNDN);
        mpfr_add(r21536, r21517, r21535, MPFR_RNDN);
        mpfr_mul(r21537, r21519, r21536, MPFR_RNDN);
        mpfr_sqrt(r21538, r21537, MPFR_RNDN);
        return mpfr_get_d(r21538, MPFR_RNDN);
}

static mpfr_t r21539, r21540, r21541, r21542, r21543, r21544, r21545, r21546, r21547, r21548, r21549, r21550, r21551, r21552, r21553, r21554, r21555, r21556, r21557, r21558, r21559, r21560, r21561, r21562, r21563, r21564;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21539, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21540, "2", 10, MPFR_RNDN);
        mpfr_init(r21541);
        mpfr_init(r21542);
        mpfr_init(r21543);
        mpfr_init(r21544);
        mpfr_init(r21545);
        mpfr_init(r21546);
        mpfr_init(r21547);
        mpfr_init(r21548);
        mpfr_init(r21549);
        mpfr_init(r21550);
        mpfr_init(r21551);
        mpfr_init(r21552);
        mpfr_init(r21553);
        mpfr_init(r21554);
        mpfr_init(r21555);
        mpfr_init_set_str(r21556, "18590374096471.035", 10, MPFR_RNDN);
        mpfr_init(r21557);
        mpfr_init(r21558);
        mpfr_init(r21559);
        mpfr_init(r21560);
        mpfr_init(r21561);
        mpfr_init(r21562);
        mpfr_init(r21563);
        mpfr_init(r21564);
}

double f_fm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_set_d(r21541, l, MPFR_RNDN);
        mpfr_mul(r21542, r21540, r21541, MPFR_RNDN);
        mpfr_set_d(r21543, Om, MPFR_RNDN);
        mpfr_div(r21544, r21542, r21543, MPFR_RNDN);
        mpfr_set_d(r21545, kx, MPFR_RNDN);
        mpfr_sin(r21546, r21545, MPFR_RNDN);
        mpfr_pow(r21547, r21546, r21540, MPFR_RNDN);
        mpfr_set_d(r21548, ky, MPFR_RNDN);
        mpfr_sin(r21549, r21548, MPFR_RNDN);
        mpfr_pow(r21550, r21549, r21540, MPFR_RNDN);
        mpfr_add(r21551, r21547, r21550, MPFR_RNDN);
        mpfr_mul(r21552, r21544, r21551, MPFR_RNDN);
        mpfr_mul(r21553, r21544, r21552, MPFR_RNDN);
        mpfr_add(r21554, r21539, r21553, MPFR_RNDN);
        mpfr_sqrt(r21555, r21554, MPFR_RNDN);
        ;
        mpfr_set_si(r21557, mpfr_cmp(r21555, r21556) <= 0, MPFR_RNDN);
        mpfr_div(r21558, r21539, r21540, MPFR_RNDN);
        mpfr_div(r21559, r21539, r21555, MPFR_RNDN);
        mpfr_add(r21560, r21539, r21559, MPFR_RNDN);
        mpfr_mul(r21561, r21558, r21560, MPFR_RNDN);
        mpfr_sqrt(r21562, r21561, MPFR_RNDN);
        mpfr_sqrt(r21563, r21558, MPFR_RNDN);
        if (mpfr_get_si(r21557, MPFR_RNDN)) { mpfr_set(r21564, r21562, MPFR_RNDN); } else { mpfr_set(r21564, r21563, MPFR_RNDN); };
        return mpfr_get_d(r21564, MPFR_RNDN);
}

static mpfr_t r21565, r21566, r21567, r21568, r21569, r21570, r21571, r21572, r21573, r21574, r21575, r21576, r21577, r21578, r21579, r21580, r21581, r21582, r21583, r21584, r21585, r21586, r21587, r21588, r21589, r21590;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21565, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21566, "2", 10, MPFR_RNDN);
        mpfr_init(r21567);
        mpfr_init(r21568);
        mpfr_init(r21569);
        mpfr_init(r21570);
        mpfr_init(r21571);
        mpfr_init(r21572);
        mpfr_init(r21573);
        mpfr_init(r21574);
        mpfr_init(r21575);
        mpfr_init(r21576);
        mpfr_init(r21577);
        mpfr_init(r21578);
        mpfr_init(r21579);
        mpfr_init(r21580);
        mpfr_init(r21581);
        mpfr_init_set_str(r21582, "18590374096471.035", 10, MPFR_RNDN);
        mpfr_init(r21583);
        mpfr_init(r21584);
        mpfr_init(r21585);
        mpfr_init(r21586);
        mpfr_init(r21587);
        mpfr_init(r21588);
        mpfr_init(r21589);
        mpfr_init(r21590);
}

double f_dm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_set_d(r21567, l, MPFR_RNDN);
        mpfr_mul(r21568, r21566, r21567, MPFR_RNDN);
        mpfr_set_d(r21569, Om, MPFR_RNDN);
        mpfr_div(r21570, r21568, r21569, MPFR_RNDN);
        mpfr_set_d(r21571, kx, MPFR_RNDN);
        mpfr_sin(r21572, r21571, MPFR_RNDN);
        mpfr_pow(r21573, r21572, r21566, MPFR_RNDN);
        mpfr_set_d(r21574, ky, MPFR_RNDN);
        mpfr_sin(r21575, r21574, MPFR_RNDN);
        mpfr_pow(r21576, r21575, r21566, MPFR_RNDN);
        mpfr_add(r21577, r21573, r21576, MPFR_RNDN);
        mpfr_mul(r21578, r21570, r21577, MPFR_RNDN);
        mpfr_mul(r21579, r21570, r21578, MPFR_RNDN);
        mpfr_add(r21580, r21565, r21579, MPFR_RNDN);
        mpfr_sqrt(r21581, r21580, MPFR_RNDN);
        ;
        mpfr_set_si(r21583, mpfr_cmp(r21581, r21582) <= 0, MPFR_RNDN);
        mpfr_div(r21584, r21565, r21566, MPFR_RNDN);
        mpfr_div(r21585, r21565, r21581, MPFR_RNDN);
        mpfr_add(r21586, r21565, r21585, MPFR_RNDN);
        mpfr_mul(r21587, r21584, r21586, MPFR_RNDN);
        mpfr_sqrt(r21588, r21587, MPFR_RNDN);
        mpfr_sqrt(r21589, r21584, MPFR_RNDN);
        if (mpfr_get_si(r21583, MPFR_RNDN)) { mpfr_set(r21590, r21588, MPFR_RNDN); } else { mpfr_set(r21590, r21589, MPFR_RNDN); };
        return mpfr_get_d(r21590, MPFR_RNDN);
}