#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 r21350 = 1;
        float r21351 = 2;
        float r21352 = r21350 / r21351;
        float r21353 = l;
        float r21354 = r21351 * r21353;
        float r21355 = Om;
        float r21356 = r21354 / r21355;
        float r21357 = pow(r21356, r21351);
        float r21358 = kx;
        float r21359 = sin(r21358);
        float r21360 = pow(r21359, r21351);
        float r21361 = ky;
        float r21362 = sin(r21361);
        float r21363 = pow(r21362, r21351);
        float r21364 = r21360 + r21363;
        float r21365 = r21357 * r21364;
        float r21366 = r21350 + r21365;
        float r21367 = sqrt(r21366);
        float r21368 = r21350 / r21367;
        float r21369 = r21350 + r21368;
        float r21370 = r21352 * r21369;
        float r21371 = sqrt(r21370);
        return r21371;
}

double f_id(double l, double Om, double kx, double ky) {
        double r21372 = 1;
        double r21373 = 2;
        double r21374 = r21372 / r21373;
        double r21375 = l;
        double r21376 = r21373 * r21375;
        double r21377 = Om;
        double r21378 = r21376 / r21377;
        double r21379 = pow(r21378, r21373);
        double r21380 = kx;
        double r21381 = sin(r21380);
        double r21382 = pow(r21381, r21373);
        double r21383 = ky;
        double r21384 = sin(r21383);
        double r21385 = pow(r21384, r21373);
        double r21386 = r21382 + r21385;
        double r21387 = r21379 * r21386;
        double r21388 = r21372 + r21387;
        double r21389 = sqrt(r21388);
        double r21390 = r21372 / r21389;
        double r21391 = r21372 + r21390;
        double r21392 = r21374 * r21391;
        double r21393 = sqrt(r21392);
        return r21393;
}


double f_of(float l, float Om, float kx, float ky) {
        float r21394 = 1;
        float r21395 = 2;
        float r21396 = r21394 / r21395;
        float r21397 = l;
        float r21398 = r21395 * r21397;
        float r21399 = Om;
        float r21400 = r21398 / r21399;
        float r21401 = pow(r21400, r21395);
        float r21402 = kx;
        float r21403 = sin(r21402);
        float r21404 = pow(r21403, r21395);
        float r21405 = ky;
        float r21406 = sin(r21405);
        float r21407 = pow(r21406, r21395);
        float r21408 = r21404 + r21407;
        float r21409 = r21401 * r21408;
        float r21410 = r21394 + r21409;
        float r21411 = sqrt(r21410);
        float r21412 = r21394 / r21411;
        float r21413 = r21394 + r21412;
        float r21414 = r21396 * r21413;
        float r21415 = sqrt(r21414);
        return r21415;
}

double f_od(double l, double Om, double kx, double ky) {
        double r21416 = 1;
        double r21417 = 2;
        double r21418 = r21416 / r21417;
        double r21419 = l;
        double r21420 = r21417 * r21419;
        double r21421 = Om;
        double r21422 = r21420 / r21421;
        double r21423 = pow(r21422, r21417);
        double r21424 = kx;
        double r21425 = sin(r21424);
        double r21426 = pow(r21425, r21417);
        double r21427 = ky;
        double r21428 = sin(r21427);
        double r21429 = pow(r21428, r21417);
        double r21430 = r21426 + r21429;
        double r21431 = r21423 * r21430;
        double r21432 = r21416 + r21431;
        double r21433 = sqrt(r21432);
        double r21434 = r21416 / r21433;
        double r21435 = r21416 + r21434;
        double r21436 = r21418 * r21435;
        double r21437 = sqrt(r21436);
        return r21437;
}

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 r21438, r21439, r21440, r21441, r21442, r21443, r21444, r21445, r21446, r21447, r21448, r21449, r21450, r21451, r21452, r21453, r21454, r21455, r21456, r21457, r21458, r21459;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21438, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21439, "2", 10, MPFR_RNDN);
        mpfr_init(r21440);
        mpfr_init(r21441);
        mpfr_init(r21442);
        mpfr_init(r21443);
        mpfr_init(r21444);
        mpfr_init(r21445);
        mpfr_init(r21446);
        mpfr_init(r21447);
        mpfr_init(r21448);
        mpfr_init(r21449);
        mpfr_init(r21450);
        mpfr_init(r21451);
        mpfr_init(r21452);
        mpfr_init(r21453);
        mpfr_init(r21454);
        mpfr_init(r21455);
        mpfr_init(r21456);
        mpfr_init(r21457);
        mpfr_init(r21458);
        mpfr_init(r21459);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r21440, r21438, r21439, MPFR_RNDN);
        mpfr_set_d(r21441, l, MPFR_RNDN);
        mpfr_mul(r21442, r21439, r21441, MPFR_RNDN);
        mpfr_set_d(r21443, Om, MPFR_RNDN);
        mpfr_div(r21444, r21442, r21443, MPFR_RNDN);
        mpfr_pow(r21445, r21444, r21439, MPFR_RNDN);
        mpfr_set_d(r21446, kx, MPFR_RNDN);
        mpfr_sin(r21447, r21446, MPFR_RNDN);
        mpfr_pow(r21448, r21447, r21439, MPFR_RNDN);
        mpfr_set_d(r21449, ky, MPFR_RNDN);
        mpfr_sin(r21450, r21449, MPFR_RNDN);
        mpfr_pow(r21451, r21450, r21439, MPFR_RNDN);
        mpfr_add(r21452, r21448, r21451, MPFR_RNDN);
        mpfr_mul(r21453, r21445, r21452, MPFR_RNDN);
        mpfr_add(r21454, r21438, r21453, MPFR_RNDN);
        mpfr_sqrt(r21455, r21454, MPFR_RNDN);
        mpfr_div(r21456, r21438, r21455, MPFR_RNDN);
        mpfr_add(r21457, r21438, r21456, MPFR_RNDN);
        mpfr_mul(r21458, r21440, r21457, MPFR_RNDN);
        mpfr_sqrt(r21459, r21458, MPFR_RNDN);
        return mpfr_get_d(r21459, MPFR_RNDN);
}

static mpfr_t r21460, r21461, r21462, r21463, r21464, r21465, r21466, r21467, r21468, r21469, r21470, r21471, r21472, r21473, r21474, r21475, r21476, r21477, r21478, r21479, r21480, r21481;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21460, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21461, "2", 10, MPFR_RNDN);
        mpfr_init(r21462);
        mpfr_init(r21463);
        mpfr_init(r21464);
        mpfr_init(r21465);
        mpfr_init(r21466);
        mpfr_init(r21467);
        mpfr_init(r21468);
        mpfr_init(r21469);
        mpfr_init(r21470);
        mpfr_init(r21471);
        mpfr_init(r21472);
        mpfr_init(r21473);
        mpfr_init(r21474);
        mpfr_init(r21475);
        mpfr_init(r21476);
        mpfr_init(r21477);
        mpfr_init(r21478);
        mpfr_init(r21479);
        mpfr_init(r21480);
        mpfr_init(r21481);
}

double f_fm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r21462, r21460, r21461, MPFR_RNDN);
        mpfr_set_d(r21463, l, MPFR_RNDN);
        mpfr_mul(r21464, r21461, r21463, MPFR_RNDN);
        mpfr_set_d(r21465, Om, MPFR_RNDN);
        mpfr_div(r21466, r21464, r21465, MPFR_RNDN);
        mpfr_pow(r21467, r21466, r21461, MPFR_RNDN);
        mpfr_set_d(r21468, kx, MPFR_RNDN);
        mpfr_sin(r21469, r21468, MPFR_RNDN);
        mpfr_pow(r21470, r21469, r21461, MPFR_RNDN);
        mpfr_set_d(r21471, ky, MPFR_RNDN);
        mpfr_sin(r21472, r21471, MPFR_RNDN);
        mpfr_pow(r21473, r21472, r21461, MPFR_RNDN);
        mpfr_add(r21474, r21470, r21473, MPFR_RNDN);
        mpfr_mul(r21475, r21467, r21474, MPFR_RNDN);
        mpfr_add(r21476, r21460, r21475, MPFR_RNDN);
        mpfr_sqrt(r21477, r21476, MPFR_RNDN);
        mpfr_div(r21478, r21460, r21477, MPFR_RNDN);
        mpfr_add(r21479, r21460, r21478, MPFR_RNDN);
        mpfr_mul(r21480, r21462, r21479, MPFR_RNDN);
        mpfr_sqrt(r21481, r21480, MPFR_RNDN);
        return mpfr_get_d(r21481, MPFR_RNDN);
}

static mpfr_t r21482, r21483, r21484, r21485, r21486, r21487, r21488, r21489, r21490, r21491, r21492, r21493, r21494, r21495, r21496, r21497, r21498, r21499, r21500, r21501, r21502, r21503;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21482, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21483, "2", 10, MPFR_RNDN);
        mpfr_init(r21484);
        mpfr_init(r21485);
        mpfr_init(r21486);
        mpfr_init(r21487);
        mpfr_init(r21488);
        mpfr_init(r21489);
        mpfr_init(r21490);
        mpfr_init(r21491);
        mpfr_init(r21492);
        mpfr_init(r21493);
        mpfr_init(r21494);
        mpfr_init(r21495);
        mpfr_init(r21496);
        mpfr_init(r21497);
        mpfr_init(r21498);
        mpfr_init(r21499);
        mpfr_init(r21500);
        mpfr_init(r21501);
        mpfr_init(r21502);
        mpfr_init(r21503);
}

double f_dm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r21484, r21482, r21483, MPFR_RNDN);
        mpfr_set_d(r21485, l, MPFR_RNDN);
        mpfr_mul(r21486, r21483, r21485, MPFR_RNDN);
        mpfr_set_d(r21487, Om, MPFR_RNDN);
        mpfr_div(r21488, r21486, r21487, MPFR_RNDN);
        mpfr_pow(r21489, r21488, r21483, MPFR_RNDN);
        mpfr_set_d(r21490, kx, MPFR_RNDN);
        mpfr_sin(r21491, r21490, MPFR_RNDN);
        mpfr_pow(r21492, r21491, r21483, MPFR_RNDN);
        mpfr_set_d(r21493, ky, MPFR_RNDN);
        mpfr_sin(r21494, r21493, MPFR_RNDN);
        mpfr_pow(r21495, r21494, r21483, MPFR_RNDN);
        mpfr_add(r21496, r21492, r21495, MPFR_RNDN);
        mpfr_mul(r21497, r21489, r21496, MPFR_RNDN);
        mpfr_add(r21498, r21482, r21497, MPFR_RNDN);
        mpfr_sqrt(r21499, r21498, MPFR_RNDN);
        mpfr_div(r21500, r21482, r21499, MPFR_RNDN);
        mpfr_add(r21501, r21482, r21500, MPFR_RNDN);
        mpfr_mul(r21502, r21484, r21501, MPFR_RNDN);
        mpfr_sqrt(r21503, r21502, MPFR_RNDN);
        return mpfr_get_d(r21503, MPFR_RNDN);
}

