#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 r24407 = 1;
        float r24408 = 2;
        float r24409 = r24407 / r24408;
        float r24410 = l;
        float r24411 = r24408 * r24410;
        float r24412 = Om;
        float r24413 = r24411 / r24412;
        float r24414 = pow(r24413, r24408);
        float r24415 = kx;
        float r24416 = sin(r24415);
        float r24417 = pow(r24416, r24408);
        float r24418 = ky;
        float r24419 = sin(r24418);
        float r24420 = pow(r24419, r24408);
        float r24421 = r24417 + r24420;
        float r24422 = r24414 * r24421;
        float r24423 = r24407 + r24422;
        float r24424 = sqrt(r24423);
        float r24425 = r24407 / r24424;
        float r24426 = r24407 + r24425;
        float r24427 = r24409 * r24426;
        float r24428 = sqrt(r24427);
        return r24428;
}

double f_id(double l, double Om, double kx, double ky) {
        double r24429 = 1;
        double r24430 = 2;
        double r24431 = r24429 / r24430;
        double r24432 = l;
        double r24433 = r24430 * r24432;
        double r24434 = Om;
        double r24435 = r24433 / r24434;
        double r24436 = pow(r24435, r24430);
        double r24437 = kx;
        double r24438 = sin(r24437);
        double r24439 = pow(r24438, r24430);
        double r24440 = ky;
        double r24441 = sin(r24440);
        double r24442 = pow(r24441, r24430);
        double r24443 = r24439 + r24442;
        double r24444 = r24436 * r24443;
        double r24445 = r24429 + r24444;
        double r24446 = sqrt(r24445);
        double r24447 = r24429 / r24446;
        double r24448 = r24429 + r24447;
        double r24449 = r24431 * r24448;
        double r24450 = sqrt(r24449);
        return r24450;
}


double f_of(float l, float Om, float kx, float ky) {
        float r24451 = 2;
        float r24452 = l;
        float r24453 = r24451 * r24452;
        float r24454 = Om;
        float r24455 = r24453 / r24454;
        float r24456 = 1.4478116345208037e+174;
        bool r24457 = r24455 <= r24456;
        float r24458 = 1;
        float r24459 = r24458 / r24451;
        float r24460 = kx;
        float r24461 = sin(r24460);
        float r24462 = pow(r24461, r24451);
        float r24463 = ky;
        float r24464 = sin(r24463);
        float r24465 = pow(r24464, r24451);
        float r24466 = r24462 + r24465;
        float r24467 = r24455 * r24466;
        float r24468 = r24455 * r24467;
        float r24469 = r24458 + r24468;
        float r24470 = sqrt(r24469);
        float r24471 = r24458 / r24470;
        float r24472 = r24458 + r24471;
        float r24473 = r24459 * r24472;
        float r24474 = sqrt(r24473);
        float r24475 = sqrt(r24459);
        float r24476 = r24457 ? r24474 : r24475;
        return r24476;
}

double f_od(double l, double Om, double kx, double ky) {
        double r24477 = 2;
        double r24478 = l;
        double r24479 = r24477 * r24478;
        double r24480 = Om;
        double r24481 = r24479 / r24480;
        double r24482 = 1.4478116345208037e+174;
        bool r24483 = r24481 <= r24482;
        double r24484 = 1;
        double r24485 = r24484 / r24477;
        double r24486 = kx;
        double r24487 = sin(r24486);
        double r24488 = pow(r24487, r24477);
        double r24489 = ky;
        double r24490 = sin(r24489);
        double r24491 = pow(r24490, r24477);
        double r24492 = r24488 + r24491;
        double r24493 = r24481 * r24492;
        double r24494 = r24481 * r24493;
        double r24495 = r24484 + r24494;
        double r24496 = sqrt(r24495);
        double r24497 = r24484 / r24496;
        double r24498 = r24484 + r24497;
        double r24499 = r24485 * r24498;
        double r24500 = sqrt(r24499);
        double r24501 = sqrt(r24485);
        double r24502 = r24483 ? r24500 : r24501;
        return r24502;
}

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 r24503, r24504, r24505, r24506, r24507, r24508, r24509, r24510, r24511, r24512, r24513, r24514, r24515, r24516, r24517, r24518, r24519, r24520, r24521, r24522, r24523, r24524;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r24503, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r24504, "2", 10, MPFR_RNDN);
        mpfr_init(r24505);
        mpfr_init(r24506);
        mpfr_init(r24507);
        mpfr_init(r24508);
        mpfr_init(r24509);
        mpfr_init(r24510);
        mpfr_init(r24511);
        mpfr_init(r24512);
        mpfr_init(r24513);
        mpfr_init(r24514);
        mpfr_init(r24515);
        mpfr_init(r24516);
        mpfr_init(r24517);
        mpfr_init(r24518);
        mpfr_init(r24519);
        mpfr_init(r24520);
        mpfr_init(r24521);
        mpfr_init(r24522);
        mpfr_init(r24523);
        mpfr_init(r24524);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r24505, r24503, r24504, MPFR_RNDN);
        mpfr_set_d(r24506, l, MPFR_RNDN);
        mpfr_mul(r24507, r24504, r24506, MPFR_RNDN);
        mpfr_set_d(r24508, Om, MPFR_RNDN);
        mpfr_div(r24509, r24507, r24508, MPFR_RNDN);
        mpfr_pow(r24510, r24509, r24504, MPFR_RNDN);
        mpfr_set_d(r24511, kx, MPFR_RNDN);
        mpfr_sin(r24512, r24511, MPFR_RNDN);
        mpfr_pow(r24513, r24512, r24504, MPFR_RNDN);
        mpfr_set_d(r24514, ky, MPFR_RNDN);
        mpfr_sin(r24515, r24514, MPFR_RNDN);
        mpfr_pow(r24516, r24515, r24504, MPFR_RNDN);
        mpfr_add(r24517, r24513, r24516, MPFR_RNDN);
        mpfr_mul(r24518, r24510, r24517, MPFR_RNDN);
        mpfr_add(r24519, r24503, r24518, MPFR_RNDN);
        mpfr_sqrt(r24520, r24519, MPFR_RNDN);
        mpfr_div(r24521, r24503, r24520, MPFR_RNDN);
        mpfr_add(r24522, r24503, r24521, MPFR_RNDN);
        mpfr_mul(r24523, r24505, r24522, MPFR_RNDN);
        mpfr_sqrt(r24524, r24523, MPFR_RNDN);
        return mpfr_get_d(r24524, MPFR_RNDN);
}

static mpfr_t r24525, r24526, r24527, r24528, r24529, r24530, r24531, r24532, r24533, r24534, r24535, r24536, r24537, r24538, r24539, r24540, r24541, r24542, r24543, r24544, r24545, r24546, r24547, r24548, r24549, r24550;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r24525, "2", 10, MPFR_RNDN);
        mpfr_init(r24526);
        mpfr_init(r24527);
        mpfr_init(r24528);
        mpfr_init(r24529);
        mpfr_init_set_str(r24530, "1.4478116345208037e+174", 10, MPFR_RNDN);
        mpfr_init(r24531);
        mpfr_init_set_str(r24532, "1", 10, MPFR_RNDN);
        mpfr_init(r24533);
        mpfr_init(r24534);
        mpfr_init(r24535);
        mpfr_init(r24536);
        mpfr_init(r24537);
        mpfr_init(r24538);
        mpfr_init(r24539);
        mpfr_init(r24540);
        mpfr_init(r24541);
        mpfr_init(r24542);
        mpfr_init(r24543);
        mpfr_init(r24544);
        mpfr_init(r24545);
        mpfr_init(r24546);
        mpfr_init(r24547);
        mpfr_init(r24548);
        mpfr_init(r24549);
        mpfr_init(r24550);
}

double f_fm(double l, double Om, double kx, double ky) {
        ;
        mpfr_set_d(r24526, l, MPFR_RNDN);
        mpfr_mul(r24527, r24525, r24526, MPFR_RNDN);
        mpfr_set_d(r24528, Om, MPFR_RNDN);
        mpfr_div(r24529, r24527, r24528, MPFR_RNDN);
        ;
        mpfr_set_si(r24531, mpfr_cmp(r24529, r24530) <= 0, MPFR_RNDN);
        ;
        mpfr_div(r24533, r24532, r24525, MPFR_RNDN);
        mpfr_set_d(r24534, kx, MPFR_RNDN);
        mpfr_sin(r24535, r24534, MPFR_RNDN);
        mpfr_pow(r24536, r24535, r24525, MPFR_RNDN);
        mpfr_set_d(r24537, ky, MPFR_RNDN);
        mpfr_sin(r24538, r24537, MPFR_RNDN);
        mpfr_pow(r24539, r24538, r24525, MPFR_RNDN);
        mpfr_add(r24540, r24536, r24539, MPFR_RNDN);
        mpfr_mul(r24541, r24529, r24540, MPFR_RNDN);
        mpfr_mul(r24542, r24529, r24541, MPFR_RNDN);
        mpfr_add(r24543, r24532, r24542, MPFR_RNDN);
        mpfr_sqrt(r24544, r24543, MPFR_RNDN);
        mpfr_div(r24545, r24532, r24544, MPFR_RNDN);
        mpfr_add(r24546, r24532, r24545, MPFR_RNDN);
        mpfr_mul(r24547, r24533, r24546, MPFR_RNDN);
        mpfr_sqrt(r24548, r24547, MPFR_RNDN);
        mpfr_sqrt(r24549, r24533, MPFR_RNDN);
        if (mpfr_get_si(r24531, MPFR_RNDN)) { mpfr_set(r24550, r24548, MPFR_RNDN); } else { mpfr_set(r24550, r24549, MPFR_RNDN); };
        return mpfr_get_d(r24550, MPFR_RNDN);
}

static mpfr_t r24551, r24552, r24553, r24554, r24555, r24556, r24557, r24558, r24559, r24560, r24561, r24562, r24563, r24564, r24565, r24566, r24567, r24568, r24569, r24570, r24571, r24572, r24573, r24574, r24575, r24576;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r24551, "2", 10, MPFR_RNDN);
        mpfr_init(r24552);
        mpfr_init(r24553);
        mpfr_init(r24554);
        mpfr_init(r24555);
        mpfr_init_set_str(r24556, "1.4478116345208037e+174", 10, MPFR_RNDN);
        mpfr_init(r24557);
        mpfr_init_set_str(r24558, "1", 10, MPFR_RNDN);
        mpfr_init(r24559);
        mpfr_init(r24560);
        mpfr_init(r24561);
        mpfr_init(r24562);
        mpfr_init(r24563);
        mpfr_init(r24564);
        mpfr_init(r24565);
        mpfr_init(r24566);
        mpfr_init(r24567);
        mpfr_init(r24568);
        mpfr_init(r24569);
        mpfr_init(r24570);
        mpfr_init(r24571);
        mpfr_init(r24572);
        mpfr_init(r24573);
        mpfr_init(r24574);
        mpfr_init(r24575);
        mpfr_init(r24576);
}

double f_dm(double l, double Om, double kx, double ky) {
        ;
        mpfr_set_d(r24552, l, MPFR_RNDN);
        mpfr_mul(r24553, r24551, r24552, MPFR_RNDN);
        mpfr_set_d(r24554, Om, MPFR_RNDN);
        mpfr_div(r24555, r24553, r24554, MPFR_RNDN);
        ;
        mpfr_set_si(r24557, mpfr_cmp(r24555, r24556) <= 0, MPFR_RNDN);
        ;
        mpfr_div(r24559, r24558, r24551, MPFR_RNDN);
        mpfr_set_d(r24560, kx, MPFR_RNDN);
        mpfr_sin(r24561, r24560, MPFR_RNDN);
        mpfr_pow(r24562, r24561, r24551, MPFR_RNDN);
        mpfr_set_d(r24563, ky, MPFR_RNDN);
        mpfr_sin(r24564, r24563, MPFR_RNDN);
        mpfr_pow(r24565, r24564, r24551, MPFR_RNDN);
        mpfr_add(r24566, r24562, r24565, MPFR_RNDN);
        mpfr_mul(r24567, r24555, r24566, MPFR_RNDN);
        mpfr_mul(r24568, r24555, r24567, MPFR_RNDN);
        mpfr_add(r24569, r24558, r24568, MPFR_RNDN);
        mpfr_sqrt(r24570, r24569, MPFR_RNDN);
        mpfr_div(r24571, r24558, r24570, MPFR_RNDN);
        mpfr_add(r24572, r24558, r24571, MPFR_RNDN);
        mpfr_mul(r24573, r24559, r24572, MPFR_RNDN);
        mpfr_sqrt(r24574, r24573, MPFR_RNDN);
        mpfr_sqrt(r24575, r24559, MPFR_RNDN);
        if (mpfr_get_si(r24557, MPFR_RNDN)) { mpfr_set(r24576, r24574, MPFR_RNDN); } else { mpfr_set(r24576, r24575, MPFR_RNDN); };
        return mpfr_get_d(r24576, MPFR_RNDN);
}