#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 r21413 = 1;
        float r21414 = 2;
        float r21415 = r21413 / r21414;
        float r21416 = l;
        float r21417 = r21414 * r21416;
        float r21418 = Om;
        float r21419 = r21417 / r21418;
        float r21420 = pow(r21419, r21414);
        float r21421 = kx;
        float r21422 = sin(r21421);
        float r21423 = pow(r21422, r21414);
        float r21424 = ky;
        float r21425 = sin(r21424);
        float r21426 = pow(r21425, r21414);
        float r21427 = r21423 + r21426;
        float r21428 = r21420 * r21427;
        float r21429 = r21413 + r21428;
        float r21430 = sqrt(r21429);
        float r21431 = r21413 / r21430;
        float r21432 = r21413 + r21431;
        float r21433 = r21415 * r21432;
        float r21434 = sqrt(r21433);
        return r21434;
}

double f_id(double l, double Om, double kx, double ky) {
        double r21435 = 1;
        double r21436 = 2;
        double r21437 = r21435 / r21436;
        double r21438 = l;
        double r21439 = r21436 * r21438;
        double r21440 = Om;
        double r21441 = r21439 / r21440;
        double r21442 = pow(r21441, r21436);
        double r21443 = kx;
        double r21444 = sin(r21443);
        double r21445 = pow(r21444, r21436);
        double r21446 = ky;
        double r21447 = sin(r21446);
        double r21448 = pow(r21447, r21436);
        double r21449 = r21445 + r21448;
        double r21450 = r21442 * r21449;
        double r21451 = r21435 + r21450;
        double r21452 = sqrt(r21451);
        double r21453 = r21435 / r21452;
        double r21454 = r21435 + r21453;
        double r21455 = r21437 * r21454;
        double r21456 = sqrt(r21455);
        return r21456;
}


double f_of(float l, float Om, float kx, float ky) {
        float r21457 = 1;
        float r21458 = 2;
        float r21459 = l;
        float r21460 = r21458 * r21459;
        float r21461 = Om;
        float r21462 = r21460 / r21461;
        float r21463 = kx;
        float r21464 = sin(r21463);
        float r21465 = pow(r21464, r21458);
        float r21466 = ky;
        float r21467 = sin(r21466);
        float r21468 = pow(r21467, r21458);
        float r21469 = r21465 + r21468;
        float r21470 = r21462 * r21469;
        float r21471 = r21462 * r21470;
        float r21472 = r21457 + r21471;
        float r21473 = sqrt(r21472);
        float r21474 = 18590374096471.035;
        bool r21475 = r21473 <= r21474;
        float r21476 = r21457 / r21458;
        float r21477 = r21457 / r21473;
        float r21478 = r21457 + r21477;
        float r21479 = r21476 * r21478;
        float r21480 = sqrt(r21479);
        float r21481 = sqrt(r21476);
        float r21482 = r21475 ? r21480 : r21481;
        return r21482;
}

double f_od(double l, double Om, double kx, double ky) {
        double r21483 = 1;
        double r21484 = 2;
        double r21485 = l;
        double r21486 = r21484 * r21485;
        double r21487 = Om;
        double r21488 = r21486 / r21487;
        double r21489 = kx;
        double r21490 = sin(r21489);
        double r21491 = pow(r21490, r21484);
        double r21492 = ky;
        double r21493 = sin(r21492);
        double r21494 = pow(r21493, r21484);
        double r21495 = r21491 + r21494;
        double r21496 = r21488 * r21495;
        double r21497 = r21488 * r21496;
        double r21498 = r21483 + r21497;
        double r21499 = sqrt(r21498);
        double r21500 = 18590374096471.035;
        bool r21501 = r21499 <= r21500;
        double r21502 = r21483 / r21484;
        double r21503 = r21483 / r21499;
        double r21504 = r21483 + r21503;
        double r21505 = r21502 * r21504;
        double r21506 = sqrt(r21505);
        double r21507 = sqrt(r21502);
        double r21508 = r21501 ? r21506 : r21507;
        return r21508;
}

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 r21509, r21510, r21511, r21512, r21513, r21514, r21515, r21516, r21517, r21518, r21519, r21520, r21521, r21522, r21523, r21524, r21525, r21526, r21527, r21528, r21529, r21530;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21509, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21510, "2", 10, MPFR_RNDN);
        mpfr_init(r21511);
        mpfr_init(r21512);
        mpfr_init(r21513);
        mpfr_init(r21514);
        mpfr_init(r21515);
        mpfr_init(r21516);
        mpfr_init(r21517);
        mpfr_init(r21518);
        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);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r21511, r21509, r21510, MPFR_RNDN);
        mpfr_set_d(r21512, l, MPFR_RNDN);
        mpfr_mul(r21513, r21510, r21512, MPFR_RNDN);
        mpfr_set_d(r21514, Om, MPFR_RNDN);
        mpfr_div(r21515, r21513, r21514, MPFR_RNDN);
        mpfr_pow(r21516, r21515, r21510, MPFR_RNDN);
        mpfr_set_d(r21517, kx, MPFR_RNDN);
        mpfr_sin(r21518, r21517, MPFR_RNDN);
        mpfr_pow(r21519, r21518, r21510, MPFR_RNDN);
        mpfr_set_d(r21520, ky, MPFR_RNDN);
        mpfr_sin(r21521, r21520, MPFR_RNDN);
        mpfr_pow(r21522, r21521, r21510, MPFR_RNDN);
        mpfr_add(r21523, r21519, r21522, MPFR_RNDN);
        mpfr_mul(r21524, r21516, r21523, MPFR_RNDN);
        mpfr_add(r21525, r21509, r21524, MPFR_RNDN);
        mpfr_sqrt(r21526, r21525, MPFR_RNDN);
        mpfr_div(r21527, r21509, r21526, MPFR_RNDN);
        mpfr_add(r21528, r21509, r21527, MPFR_RNDN);
        mpfr_mul(r21529, r21511, r21528, MPFR_RNDN);
        mpfr_sqrt(r21530, r21529, MPFR_RNDN);
        return mpfr_get_d(r21530, MPFR_RNDN);
}

static mpfr_t r21531, r21532, r21533, r21534, r21535, r21536, r21537, r21538, r21539, r21540, r21541, r21542, r21543, r21544, r21545, r21546, r21547, r21548, r21549, r21550, r21551, r21552, r21553, r21554, r21555, r21556;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21531, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21532, "2", 10, MPFR_RNDN);
        mpfr_init(r21533);
        mpfr_init(r21534);
        mpfr_init(r21535);
        mpfr_init(r21536);
        mpfr_init(r21537);
        mpfr_init(r21538);
        mpfr_init(r21539);
        mpfr_init(r21540);
        mpfr_init(r21541);
        mpfr_init(r21542);
        mpfr_init(r21543);
        mpfr_init(r21544);
        mpfr_init(r21545);
        mpfr_init(r21546);
        mpfr_init(r21547);
        mpfr_init_set_str(r21548, "18590374096471.035", 10, MPFR_RNDN);
        mpfr_init(r21549);
        mpfr_init(r21550);
        mpfr_init(r21551);
        mpfr_init(r21552);
        mpfr_init(r21553);
        mpfr_init(r21554);
        mpfr_init(r21555);
        mpfr_init(r21556);
}

double f_fm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_set_d(r21533, l, MPFR_RNDN);
        mpfr_mul(r21534, r21532, r21533, MPFR_RNDN);
        mpfr_set_d(r21535, Om, MPFR_RNDN);
        mpfr_div(r21536, r21534, r21535, MPFR_RNDN);
        mpfr_set_d(r21537, kx, MPFR_RNDN);
        mpfr_sin(r21538, r21537, MPFR_RNDN);
        mpfr_pow(r21539, r21538, r21532, MPFR_RNDN);
        mpfr_set_d(r21540, ky, MPFR_RNDN);
        mpfr_sin(r21541, r21540, MPFR_RNDN);
        mpfr_pow(r21542, r21541, r21532, MPFR_RNDN);
        mpfr_add(r21543, r21539, r21542, MPFR_RNDN);
        mpfr_mul(r21544, r21536, r21543, MPFR_RNDN);
        mpfr_mul(r21545, r21536, r21544, MPFR_RNDN);
        mpfr_add(r21546, r21531, r21545, MPFR_RNDN);
        mpfr_sqrt(r21547, r21546, MPFR_RNDN);
        ;
        mpfr_set_si(r21549, mpfr_cmp(r21547, r21548) <= 0, MPFR_RNDN);
        mpfr_div(r21550, r21531, r21532, MPFR_RNDN);
        mpfr_div(r21551, r21531, r21547, MPFR_RNDN);
        mpfr_add(r21552, r21531, r21551, MPFR_RNDN);
        mpfr_mul(r21553, r21550, r21552, MPFR_RNDN);
        mpfr_sqrt(r21554, r21553, MPFR_RNDN);
        mpfr_sqrt(r21555, r21550, MPFR_RNDN);
        if (mpfr_get_si(r21549, MPFR_RNDN)) { mpfr_set(r21556, r21554, MPFR_RNDN); } else { mpfr_set(r21556, r21555, MPFR_RNDN); };
        return mpfr_get_d(r21556, MPFR_RNDN);
}

static mpfr_t r21557, r21558, r21559, r21560, r21561, r21562, r21563, r21564, r21565, r21566, r21567, r21568, r21569, r21570, r21571, r21572, r21573, r21574, r21575, r21576, r21577, r21578, r21579, r21580, r21581, r21582;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21557, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21558, "2", 10, MPFR_RNDN);
        mpfr_init(r21559);
        mpfr_init(r21560);
        mpfr_init(r21561);
        mpfr_init(r21562);
        mpfr_init(r21563);
        mpfr_init(r21564);
        mpfr_init(r21565);
        mpfr_init(r21566);
        mpfr_init(r21567);
        mpfr_init(r21568);
        mpfr_init(r21569);
        mpfr_init(r21570);
        mpfr_init(r21571);
        mpfr_init(r21572);
        mpfr_init(r21573);
        mpfr_init_set_str(r21574, "18590374096471.035", 10, MPFR_RNDN);
        mpfr_init(r21575);
        mpfr_init(r21576);
        mpfr_init(r21577);
        mpfr_init(r21578);
        mpfr_init(r21579);
        mpfr_init(r21580);
        mpfr_init(r21581);
        mpfr_init(r21582);
}

double f_dm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_set_d(r21559, l, MPFR_RNDN);
        mpfr_mul(r21560, r21558, r21559, MPFR_RNDN);
        mpfr_set_d(r21561, Om, MPFR_RNDN);
        mpfr_div(r21562, r21560, r21561, MPFR_RNDN);
        mpfr_set_d(r21563, kx, MPFR_RNDN);
        mpfr_sin(r21564, r21563, MPFR_RNDN);
        mpfr_pow(r21565, r21564, r21558, MPFR_RNDN);
        mpfr_set_d(r21566, ky, MPFR_RNDN);
        mpfr_sin(r21567, r21566, MPFR_RNDN);
        mpfr_pow(r21568, r21567, r21558, MPFR_RNDN);
        mpfr_add(r21569, r21565, r21568, MPFR_RNDN);
        mpfr_mul(r21570, r21562, r21569, MPFR_RNDN);
        mpfr_mul(r21571, r21562, r21570, MPFR_RNDN);
        mpfr_add(r21572, r21557, r21571, MPFR_RNDN);
        mpfr_sqrt(r21573, r21572, MPFR_RNDN);
        ;
        mpfr_set_si(r21575, mpfr_cmp(r21573, r21574) <= 0, MPFR_RNDN);
        mpfr_div(r21576, r21557, r21558, MPFR_RNDN);
        mpfr_div(r21577, r21557, r21573, MPFR_RNDN);
        mpfr_add(r21578, r21557, r21577, MPFR_RNDN);
        mpfr_mul(r21579, r21576, r21578, MPFR_RNDN);
        mpfr_sqrt(r21580, r21579, MPFR_RNDN);
        mpfr_sqrt(r21581, r21576, MPFR_RNDN);
        if (mpfr_get_si(r21575, MPFR_RNDN)) { mpfr_set(r21582, r21580, MPFR_RNDN); } else { mpfr_set(r21582, r21581, MPFR_RNDN); };
        return mpfr_get_d(r21582, MPFR_RNDN);
}