#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 = kx;
        float r21484 = sin(r21483);
        float r21485 = ky;
        float r21486 = sin(r21485);
        float r21487 = hypot(r21484, r21486);
        float r21488 = l;
        float r21489 = r21488 + r21488;
        float r21490 = Om;
        float r21491 = r21489 / r21490;
        float r21492 = r21487 * r21491;
        float r21493 = hypot(r21480, r21492);
        float r21494 = expm1(r21493);
        float r21495 = log1p(r21494);
        float r21496 = r21480 / r21495;
        float r21497 = r21480 + r21496;
        float r21498 = r21482 * r21497;
        float r21499 = sqrt(r21498);
        return r21499;
}

double f_od(double l, double Om, double kx, double ky) {
        double r21500 = 1;
        double r21501 = 2;
        double r21502 = r21500 / r21501;
        double r21503 = kx;
        double r21504 = sin(r21503);
        double r21505 = ky;
        double r21506 = sin(r21505);
        double r21507 = hypot(r21504, r21506);
        double r21508 = l;
        double r21509 = r21508 + r21508;
        double r21510 = Om;
        double r21511 = r21509 / r21510;
        double r21512 = r21507 * r21511;
        double r21513 = hypot(r21500, r21512);
        double r21514 = expm1(r21513);
        double r21515 = log1p(r21514);
        double r21516 = r21500 / r21515;
        double r21517 = r21500 + r21516;
        double r21518 = r21502 * r21517;
        double r21519 = sqrt(r21518);
        return r21519;
}

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 r21520, r21521, r21522, r21523, r21524, r21525, r21526, r21527, r21528, r21529, r21530, r21531, r21532, r21533, r21534, r21535, r21536, r21537, r21538, r21539, r21540, r21541;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21520, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21521, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r21539);
        mpfr_init(r21540);
        mpfr_init(r21541);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r21522, r21520, r21521, MPFR_RNDN);
        mpfr_set_d(r21523, l, MPFR_RNDN);
        mpfr_mul(r21524, r21521, r21523, MPFR_RNDN);
        mpfr_set_d(r21525, Om, MPFR_RNDN);
        mpfr_div(r21526, r21524, r21525, MPFR_RNDN);
        mpfr_pow(r21527, r21526, r21521, MPFR_RNDN);
        mpfr_set_d(r21528, kx, MPFR_RNDN);
        mpfr_sin(r21529, r21528, MPFR_RNDN);
        mpfr_pow(r21530, r21529, r21521, MPFR_RNDN);
        mpfr_set_d(r21531, ky, MPFR_RNDN);
        mpfr_sin(r21532, r21531, MPFR_RNDN);
        mpfr_pow(r21533, r21532, r21521, MPFR_RNDN);
        mpfr_add(r21534, r21530, r21533, MPFR_RNDN);
        mpfr_mul(r21535, r21527, r21534, MPFR_RNDN);
        mpfr_add(r21536, r21520, r21535, MPFR_RNDN);
        mpfr_sqrt(r21537, r21536, MPFR_RNDN);
        mpfr_div(r21538, r21520, r21537, MPFR_RNDN);
        mpfr_add(r21539, r21520, r21538, MPFR_RNDN);
        mpfr_mul(r21540, r21522, r21539, MPFR_RNDN);
        mpfr_sqrt(r21541, r21540, MPFR_RNDN);
        return mpfr_get_d(r21541, MPFR_RNDN);
}

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

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21542, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21543, "2", 10, MPFR_RNDN);
        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(r21556);
        mpfr_init(r21557);
        mpfr_init(r21558);
        mpfr_init(r21559);
        mpfr_init(r21560);
        mpfr_init(r21561);
}

double f_fm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r21544, r21542, r21543, MPFR_RNDN);
        mpfr_set_d(r21545, kx, MPFR_RNDN);
        mpfr_sin(r21546, r21545, MPFR_RNDN);
        mpfr_set_d(r21547, ky, MPFR_RNDN);
        mpfr_sin(r21548, r21547, MPFR_RNDN);
        mpfr_hypot(r21549, r21546, r21548, MPFR_RNDN);
        mpfr_set_d(r21550, l, MPFR_RNDN);
        mpfr_add(r21551, r21550, r21550, MPFR_RNDN);
        mpfr_set_d(r21552, Om, MPFR_RNDN);
        mpfr_div(r21553, r21551, r21552, MPFR_RNDN);
        mpfr_mul(r21554, r21549, r21553, MPFR_RNDN);
        mpfr_hypot(r21555, r21542, r21554, MPFR_RNDN);
        mpfr_expm1(r21556, r21555, MPFR_RNDN);
        mpfr_log1p(r21557, r21556, MPFR_RNDN);
        mpfr_div(r21558, r21542, r21557, MPFR_RNDN);
        mpfr_add(r21559, r21542, r21558, MPFR_RNDN);
        mpfr_mul(r21560, r21544, r21559, MPFR_RNDN);
        mpfr_sqrt(r21561, r21560, MPFR_RNDN);
        return mpfr_get_d(r21561, MPFR_RNDN);
}

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

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21562, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21563, "2", 10, MPFR_RNDN);
        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(r21574);
        mpfr_init(r21575);
        mpfr_init(r21576);
        mpfr_init(r21577);
        mpfr_init(r21578);
        mpfr_init(r21579);
        mpfr_init(r21580);
        mpfr_init(r21581);
}

double f_dm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r21564, r21562, r21563, MPFR_RNDN);
        mpfr_set_d(r21565, kx, MPFR_RNDN);
        mpfr_sin(r21566, r21565, MPFR_RNDN);
        mpfr_set_d(r21567, ky, MPFR_RNDN);
        mpfr_sin(r21568, r21567, MPFR_RNDN);
        mpfr_hypot(r21569, r21566, r21568, MPFR_RNDN);
        mpfr_set_d(r21570, l, MPFR_RNDN);
        mpfr_add(r21571, r21570, r21570, MPFR_RNDN);
        mpfr_set_d(r21572, Om, MPFR_RNDN);
        mpfr_div(r21573, r21571, r21572, MPFR_RNDN);
        mpfr_mul(r21574, r21569, r21573, MPFR_RNDN);
        mpfr_hypot(r21575, r21562, r21574, MPFR_RNDN);
        mpfr_expm1(r21576, r21575, MPFR_RNDN);
        mpfr_log1p(r21577, r21576, MPFR_RNDN);
        mpfr_div(r21578, r21562, r21577, MPFR_RNDN);
        mpfr_add(r21579, r21562, r21578, MPFR_RNDN);
        mpfr_mul(r21580, r21564, r21579, MPFR_RNDN);
        mpfr_sqrt(r21581, r21580, MPFR_RNDN);
        return mpfr_get_d(r21581, MPFR_RNDN);
}

