#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 r21436 = 1;
        float r21437 = 2;
        float r21438 = r21436 / r21437;
        float r21439 = l;
        float r21440 = r21437 * r21439;
        float r21441 = Om;
        float r21442 = r21440 / r21441;
        float r21443 = pow(r21442, r21437);
        float r21444 = kx;
        float r21445 = sin(r21444);
        float r21446 = pow(r21445, r21437);
        float r21447 = ky;
        float r21448 = sin(r21447);
        float r21449 = pow(r21448, r21437);
        float r21450 = r21446 + r21449;
        float r21451 = r21443 * r21450;
        float r21452 = r21436 + r21451;
        float r21453 = sqrt(r21452);
        float r21454 = r21436 / r21453;
        float r21455 = r21436 + r21454;
        float r21456 = r21438 * r21455;
        float r21457 = sqrt(r21456);
        return r21457;
}

double f_id(double l, double Om, double kx, double ky) {
        double r21458 = 1;
        double r21459 = 2;
        double r21460 = r21458 / r21459;
        double r21461 = l;
        double r21462 = r21459 * r21461;
        double r21463 = Om;
        double r21464 = r21462 / r21463;
        double r21465 = pow(r21464, r21459);
        double r21466 = kx;
        double r21467 = sin(r21466);
        double r21468 = pow(r21467, r21459);
        double r21469 = ky;
        double r21470 = sin(r21469);
        double r21471 = pow(r21470, r21459);
        double r21472 = r21468 + r21471;
        double r21473 = r21465 * r21472;
        double r21474 = r21458 + r21473;
        double r21475 = sqrt(r21474);
        double r21476 = r21458 / r21475;
        double r21477 = r21458 + r21476;
        double r21478 = r21460 * r21477;
        double r21479 = sqrt(r21478);
        return r21479;
}


double f_of(float l, float Om, float kx, float ky) {
        float r21480 = 1;
        float r21481 = 2;
        float r21482 = r21480 / r21481;
        float r21483 = l;
        float r21484 = r21481 * r21483;
        float r21485 = Om;
        float r21486 = r21484 / r21485;
        float r21487 = pow(r21486, r21481);
        float r21488 = kx;
        float r21489 = sin(r21488);
        float r21490 = pow(r21489, r21481);
        float r21491 = ky;
        float r21492 = sin(r21491);
        float r21493 = pow(r21492, r21481);
        float r21494 = r21490 + r21493;
        float r21495 = r21487 * r21494;
        float r21496 = r21480 + r21495;
        float r21497 = sqrt(r21496);
        float r21498 = r21480 / r21497;
        float r21499 = r21480 + r21498;
        float r21500 = r21482 * r21499;
        float r21501 = sqrt(r21500);
        return r21501;
}

double f_od(double l, double Om, double kx, double ky) {
        double r21502 = 1;
        double r21503 = 2;
        double r21504 = r21502 / r21503;
        double r21505 = l;
        double r21506 = r21503 * r21505;
        double r21507 = Om;
        double r21508 = r21506 / r21507;
        double r21509 = pow(r21508, r21503);
        double r21510 = kx;
        double r21511 = sin(r21510);
        double r21512 = pow(r21511, r21503);
        double r21513 = ky;
        double r21514 = sin(r21513);
        double r21515 = pow(r21514, r21503);
        double r21516 = r21512 + r21515;
        double r21517 = r21509 * r21516;
        double r21518 = r21502 + r21517;
        double r21519 = sqrt(r21518);
        double r21520 = r21502 / r21519;
        double r21521 = r21502 + r21520;
        double r21522 = r21504 * r21521;
        double r21523 = sqrt(r21522);
        return r21523;
}

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 r21524, r21525, r21526, r21527, r21528, r21529, r21530, r21531, r21532, r21533, r21534, r21535, r21536, r21537, r21538, r21539, r21540, r21541, r21542, r21543, r21544, r21545;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21524, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21525, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r21539);
        mpfr_init(r21540);
        mpfr_init(r21541);
        mpfr_init(r21542);
        mpfr_init(r21543);
        mpfr_init(r21544);
        mpfr_init(r21545);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r21526, r21524, r21525, MPFR_RNDN);
        mpfr_set_d(r21527, l, MPFR_RNDN);
        mpfr_mul(r21528, r21525, r21527, MPFR_RNDN);
        mpfr_set_d(r21529, Om, MPFR_RNDN);
        mpfr_div(r21530, r21528, r21529, MPFR_RNDN);
        mpfr_pow(r21531, r21530, r21525, MPFR_RNDN);
        mpfr_set_d(r21532, kx, MPFR_RNDN);
        mpfr_sin(r21533, r21532, MPFR_RNDN);
        mpfr_pow(r21534, r21533, r21525, MPFR_RNDN);
        mpfr_set_d(r21535, ky, MPFR_RNDN);
        mpfr_sin(r21536, r21535, MPFR_RNDN);
        mpfr_pow(r21537, r21536, r21525, MPFR_RNDN);
        mpfr_add(r21538, r21534, r21537, MPFR_RNDN);
        mpfr_mul(r21539, r21531, r21538, MPFR_RNDN);
        mpfr_add(r21540, r21524, r21539, MPFR_RNDN);
        mpfr_sqrt(r21541, r21540, MPFR_RNDN);
        mpfr_div(r21542, r21524, r21541, MPFR_RNDN);
        mpfr_add(r21543, r21524, r21542, MPFR_RNDN);
        mpfr_mul(r21544, r21526, r21543, MPFR_RNDN);
        mpfr_sqrt(r21545, r21544, MPFR_RNDN);
        return mpfr_get_d(r21545, MPFR_RNDN);
}

static mpfr_t r21546, r21547, r21548, r21549, r21550, r21551, r21552, r21553, r21554, r21555, r21556, r21557, r21558, r21559, r21560, r21561, r21562, r21563, r21564, r21565, r21566, r21567;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21546, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21547, "2", 10, MPFR_RNDN);
        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(r21556);
        mpfr_init(r21557);
        mpfr_init(r21558);
        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);
}

double f_fm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r21548, r21546, r21547, MPFR_RNDN);
        mpfr_set_d(r21549, l, MPFR_RNDN);
        mpfr_mul(r21550, r21547, r21549, MPFR_RNDN);
        mpfr_set_d(r21551, Om, MPFR_RNDN);
        mpfr_div(r21552, r21550, r21551, MPFR_RNDN);
        mpfr_pow(r21553, r21552, r21547, MPFR_RNDN);
        mpfr_set_d(r21554, kx, MPFR_RNDN);
        mpfr_sin(r21555, r21554, MPFR_RNDN);
        mpfr_pow(r21556, r21555, r21547, MPFR_RNDN);
        mpfr_set_d(r21557, ky, MPFR_RNDN);
        mpfr_sin(r21558, r21557, MPFR_RNDN);
        mpfr_pow(r21559, r21558, r21547, MPFR_RNDN);
        mpfr_add(r21560, r21556, r21559, MPFR_RNDN);
        mpfr_mul(r21561, r21553, r21560, MPFR_RNDN);
        mpfr_add(r21562, r21546, r21561, MPFR_RNDN);
        mpfr_sqrt(r21563, r21562, MPFR_RNDN);
        mpfr_div(r21564, r21546, r21563, MPFR_RNDN);
        mpfr_add(r21565, r21546, r21564, MPFR_RNDN);
        mpfr_mul(r21566, r21548, r21565, MPFR_RNDN);
        mpfr_sqrt(r21567, r21566, MPFR_RNDN);
        return mpfr_get_d(r21567, MPFR_RNDN);
}

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

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21568, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21569, "2", 10, MPFR_RNDN);
        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(r21582);
        mpfr_init(r21583);
        mpfr_init(r21584);
        mpfr_init(r21585);
        mpfr_init(r21586);
        mpfr_init(r21587);
        mpfr_init(r21588);
        mpfr_init(r21589);
}

double f_dm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r21570, r21568, r21569, MPFR_RNDN);
        mpfr_set_d(r21571, l, MPFR_RNDN);
        mpfr_mul(r21572, r21569, r21571, MPFR_RNDN);
        mpfr_set_d(r21573, Om, MPFR_RNDN);
        mpfr_div(r21574, r21572, r21573, MPFR_RNDN);
        mpfr_pow(r21575, r21574, r21569, MPFR_RNDN);
        mpfr_set_d(r21576, kx, MPFR_RNDN);
        mpfr_sin(r21577, r21576, MPFR_RNDN);
        mpfr_pow(r21578, r21577, r21569, MPFR_RNDN);
        mpfr_set_d(r21579, ky, MPFR_RNDN);
        mpfr_sin(r21580, r21579, MPFR_RNDN);
        mpfr_pow(r21581, r21580, r21569, MPFR_RNDN);
        mpfr_add(r21582, r21578, r21581, MPFR_RNDN);
        mpfr_mul(r21583, r21575, r21582, MPFR_RNDN);
        mpfr_add(r21584, r21568, r21583, MPFR_RNDN);
        mpfr_sqrt(r21585, r21584, MPFR_RNDN);
        mpfr_div(r21586, r21568, r21585, MPFR_RNDN);
        mpfr_add(r21587, r21568, r21586, MPFR_RNDN);
        mpfr_mul(r21588, r21570, r21587, MPFR_RNDN);
        mpfr_sqrt(r21589, r21588, MPFR_RNDN);
        return mpfr_get_d(r21589, MPFR_RNDN);
}

