#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 r21318 = 1;
        float r21319 = 2;
        float r21320 = r21318 / r21319;
        float r21321 = l;
        float r21322 = r21319 * r21321;
        float r21323 = Om;
        float r21324 = r21322 / r21323;
        float r21325 = pow(r21324, r21319);
        float r21326 = kx;
        float r21327 = sin(r21326);
        float r21328 = pow(r21327, r21319);
        float r21329 = ky;
        float r21330 = sin(r21329);
        float r21331 = pow(r21330, r21319);
        float r21332 = r21328 + r21331;
        float r21333 = r21325 * r21332;
        float r21334 = r21318 + r21333;
        float r21335 = sqrt(r21334);
        float r21336 = r21318 / r21335;
        float r21337 = r21318 + r21336;
        float r21338 = r21320 * r21337;
        float r21339 = sqrt(r21338);
        return r21339;
}

double f_id(double l, double Om, double kx, double ky) {
        double r21340 = 1;
        double r21341 = 2;
        double r21342 = r21340 / r21341;
        double r21343 = l;
        double r21344 = r21341 * r21343;
        double r21345 = Om;
        double r21346 = r21344 / r21345;
        double r21347 = pow(r21346, r21341);
        double r21348 = kx;
        double r21349 = sin(r21348);
        double r21350 = pow(r21349, r21341);
        double r21351 = ky;
        double r21352 = sin(r21351);
        double r21353 = pow(r21352, r21341);
        double r21354 = r21350 + r21353;
        double r21355 = r21347 * r21354;
        double r21356 = r21340 + r21355;
        double r21357 = sqrt(r21356);
        double r21358 = r21340 / r21357;
        double r21359 = r21340 + r21358;
        double r21360 = r21342 * r21359;
        double r21361 = sqrt(r21360);
        return r21361;
}


double f_of(float l, float Om, float kx, float ky) {
        float r21362 = 1;
        float r21363 = 2;
        float r21364 = r21362 / r21363;
        float r21365 = kx;
        float r21366 = sin(r21365);
        float r21367 = ky;
        float r21368 = sin(r21367);
        float r21369 = hypot(r21366, r21368);
        float r21370 = l;
        float r21371 = r21370 + r21370;
        float r21372 = Om;
        float r21373 = r21371 / r21372;
        float r21374 = r21369 * r21373;
        float r21375 = hypot(r21362, r21374);
        float r21376 = expm1(r21375);
        float r21377 = log1p(r21376);
        float r21378 = r21362 / r21377;
        float r21379 = r21362 + r21378;
        float r21380 = r21364 * r21379;
        float r21381 = sqrt(r21380);
        return r21381;
}

double f_od(double l, double Om, double kx, double ky) {
        double r21382 = 1;
        double r21383 = 2;
        double r21384 = r21382 / r21383;
        double r21385 = kx;
        double r21386 = sin(r21385);
        double r21387 = ky;
        double r21388 = sin(r21387);
        double r21389 = hypot(r21386, r21388);
        double r21390 = l;
        double r21391 = r21390 + r21390;
        double r21392 = Om;
        double r21393 = r21391 / r21392;
        double r21394 = r21389 * r21393;
        double r21395 = hypot(r21382, r21394);
        double r21396 = expm1(r21395);
        double r21397 = log1p(r21396);
        double r21398 = r21382 / r21397;
        double r21399 = r21382 + r21398;
        double r21400 = r21384 * r21399;
        double r21401 = sqrt(r21400);
        return r21401;
}

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 r21402, r21403, r21404, r21405, r21406, r21407, r21408, r21409, r21410, r21411, r21412, r21413, r21414, r21415, r21416, r21417, r21418, r21419, r21420, r21421, r21422, r21423;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21402, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21403, "2", 10, MPFR_RNDN);
        mpfr_init(r21404);
        mpfr_init(r21405);
        mpfr_init(r21406);
        mpfr_init(r21407);
        mpfr_init(r21408);
        mpfr_init(r21409);
        mpfr_init(r21410);
        mpfr_init(r21411);
        mpfr_init(r21412);
        mpfr_init(r21413);
        mpfr_init(r21414);
        mpfr_init(r21415);
        mpfr_init(r21416);
        mpfr_init(r21417);
        mpfr_init(r21418);
        mpfr_init(r21419);
        mpfr_init(r21420);
        mpfr_init(r21421);
        mpfr_init(r21422);
        mpfr_init(r21423);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r21404, r21402, r21403, MPFR_RNDN);
        mpfr_set_d(r21405, l, MPFR_RNDN);
        mpfr_mul(r21406, r21403, r21405, MPFR_RNDN);
        mpfr_set_d(r21407, Om, MPFR_RNDN);
        mpfr_div(r21408, r21406, r21407, MPFR_RNDN);
        mpfr_pow(r21409, r21408, r21403, MPFR_RNDN);
        mpfr_set_d(r21410, kx, MPFR_RNDN);
        mpfr_sin(r21411, r21410, MPFR_RNDN);
        mpfr_pow(r21412, r21411, r21403, MPFR_RNDN);
        mpfr_set_d(r21413, ky, MPFR_RNDN);
        mpfr_sin(r21414, r21413, MPFR_RNDN);
        mpfr_pow(r21415, r21414, r21403, MPFR_RNDN);
        mpfr_add(r21416, r21412, r21415, MPFR_RNDN);
        mpfr_mul(r21417, r21409, r21416, MPFR_RNDN);
        mpfr_add(r21418, r21402, r21417, MPFR_RNDN);
        mpfr_sqrt(r21419, r21418, MPFR_RNDN);
        mpfr_div(r21420, r21402, r21419, MPFR_RNDN);
        mpfr_add(r21421, r21402, r21420, MPFR_RNDN);
        mpfr_mul(r21422, r21404, r21421, MPFR_RNDN);
        mpfr_sqrt(r21423, r21422, MPFR_RNDN);
        return mpfr_get_d(r21423, MPFR_RNDN);
}

static mpfr_t r21424, r21425, r21426, r21427, r21428, r21429, r21430, r21431, r21432, r21433, r21434, r21435, r21436, r21437, r21438, r21439, r21440, r21441, r21442, r21443;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21424, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21425, "2", 10, MPFR_RNDN);
        mpfr_init(r21426);
        mpfr_init(r21427);
        mpfr_init(r21428);
        mpfr_init(r21429);
        mpfr_init(r21430);
        mpfr_init(r21431);
        mpfr_init(r21432);
        mpfr_init(r21433);
        mpfr_init(r21434);
        mpfr_init(r21435);
        mpfr_init(r21436);
        mpfr_init(r21437);
        mpfr_init(r21438);
        mpfr_init(r21439);
        mpfr_init(r21440);
        mpfr_init(r21441);
        mpfr_init(r21442);
        mpfr_init(r21443);
}

double f_fm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r21426, r21424, r21425, MPFR_RNDN);
        mpfr_set_d(r21427, kx, MPFR_RNDN);
        mpfr_sin(r21428, r21427, MPFR_RNDN);
        mpfr_set_d(r21429, ky, MPFR_RNDN);
        mpfr_sin(r21430, r21429, MPFR_RNDN);
        mpfr_hypot(r21431, r21428, r21430, MPFR_RNDN);
        mpfr_set_d(r21432, l, MPFR_RNDN);
        mpfr_add(r21433, r21432, r21432, MPFR_RNDN);
        mpfr_set_d(r21434, Om, MPFR_RNDN);
        mpfr_div(r21435, r21433, r21434, MPFR_RNDN);
        mpfr_mul(r21436, r21431, r21435, MPFR_RNDN);
        mpfr_hypot(r21437, r21424, r21436, MPFR_RNDN);
        mpfr_expm1(r21438, r21437, MPFR_RNDN);
        mpfr_log1p(r21439, r21438, MPFR_RNDN);
        mpfr_div(r21440, r21424, r21439, MPFR_RNDN);
        mpfr_add(r21441, r21424, r21440, MPFR_RNDN);
        mpfr_mul(r21442, r21426, r21441, MPFR_RNDN);
        mpfr_sqrt(r21443, r21442, MPFR_RNDN);
        return mpfr_get_d(r21443, MPFR_RNDN);
}

static mpfr_t r21444, r21445, r21446, r21447, r21448, r21449, r21450, r21451, r21452, r21453, r21454, r21455, r21456, r21457, r21458, r21459, r21460, r21461, r21462, r21463;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21444, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21445, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r21460);
        mpfr_init(r21461);
        mpfr_init(r21462);
        mpfr_init(r21463);
}

double f_dm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r21446, r21444, r21445, MPFR_RNDN);
        mpfr_set_d(r21447, kx, MPFR_RNDN);
        mpfr_sin(r21448, r21447, MPFR_RNDN);
        mpfr_set_d(r21449, ky, MPFR_RNDN);
        mpfr_sin(r21450, r21449, MPFR_RNDN);
        mpfr_hypot(r21451, r21448, r21450, MPFR_RNDN);
        mpfr_set_d(r21452, l, MPFR_RNDN);
        mpfr_add(r21453, r21452, r21452, MPFR_RNDN);
        mpfr_set_d(r21454, Om, MPFR_RNDN);
        mpfr_div(r21455, r21453, r21454, MPFR_RNDN);
        mpfr_mul(r21456, r21451, r21455, MPFR_RNDN);
        mpfr_hypot(r21457, r21444, r21456, MPFR_RNDN);
        mpfr_expm1(r21458, r21457, MPFR_RNDN);
        mpfr_log1p(r21459, r21458, MPFR_RNDN);
        mpfr_div(r21460, r21444, r21459, MPFR_RNDN);
        mpfr_add(r21461, r21444, r21460, MPFR_RNDN);
        mpfr_mul(r21462, r21446, r21461, MPFR_RNDN);
        mpfr_sqrt(r21463, r21462, MPFR_RNDN);
        return mpfr_get_d(r21463, MPFR_RNDN);
}

