#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 r22357 = 1;
        float r22358 = 2;
        float r22359 = r22357 / r22358;
        float r22360 = l;
        float r22361 = r22358 * r22360;
        float r22362 = Om;
        float r22363 = r22361 / r22362;
        float r22364 = pow(r22363, r22358);
        float r22365 = kx;
        float r22366 = sin(r22365);
        float r22367 = pow(r22366, r22358);
        float r22368 = ky;
        float r22369 = sin(r22368);
        float r22370 = pow(r22369, r22358);
        float r22371 = r22367 + r22370;
        float r22372 = r22364 * r22371;
        float r22373 = r22357 + r22372;
        float r22374 = sqrt(r22373);
        float r22375 = r22357 / r22374;
        float r22376 = r22357 + r22375;
        float r22377 = r22359 * r22376;
        float r22378 = sqrt(r22377);
        return r22378;
}

double f_id(double l, double Om, double kx, double ky) {
        double r22379 = 1;
        double r22380 = 2;
        double r22381 = r22379 / r22380;
        double r22382 = l;
        double r22383 = r22380 * r22382;
        double r22384 = Om;
        double r22385 = r22383 / r22384;
        double r22386 = pow(r22385, r22380);
        double r22387 = kx;
        double r22388 = sin(r22387);
        double r22389 = pow(r22388, r22380);
        double r22390 = ky;
        double r22391 = sin(r22390);
        double r22392 = pow(r22391, r22380);
        double r22393 = r22389 + r22392;
        double r22394 = r22386 * r22393;
        double r22395 = r22379 + r22394;
        double r22396 = sqrt(r22395);
        double r22397 = r22379 / r22396;
        double r22398 = r22379 + r22397;
        double r22399 = r22381 * r22398;
        double r22400 = sqrt(r22399);
        return r22400;
}


double f_of(float l, float Om, float kx, float ky) {
        float r22401 = 1;
        float r22402 = 2;
        float r22403 = r22401 / r22402;
        float r22404 = l;
        float r22405 = r22402 * r22404;
        float r22406 = Om;
        float r22407 = r22405 / r22406;
        float r22408 = kx;
        float r22409 = sin(r22408);
        float r22410 = pow(r22409, r22402);
        float r22411 = ky;
        float r22412 = sin(r22411);
        float r22413 = pow(r22412, r22402);
        float r22414 = r22410 + r22413;
        float r22415 = r22407 * r22414;
        float r22416 = r22407 * r22415;
        float r22417 = r22401 + r22416;
        float r22418 = sqrt(r22417);
        float r22419 = r22401 / r22418;
        float r22420 = r22401 + r22419;
        float r22421 = r22403 * r22420;
        float r22422 = sqrt(r22421);
        return r22422;
}

double f_od(double l, double Om, double kx, double ky) {
        double r22423 = 1;
        double r22424 = 2;
        double r22425 = r22423 / r22424;
        double r22426 = l;
        double r22427 = r22424 * r22426;
        double r22428 = Om;
        double r22429 = r22427 / r22428;
        double r22430 = kx;
        double r22431 = sin(r22430);
        double r22432 = pow(r22431, r22424);
        double r22433 = ky;
        double r22434 = sin(r22433);
        double r22435 = pow(r22434, r22424);
        double r22436 = r22432 + r22435;
        double r22437 = r22429 * r22436;
        double r22438 = r22429 * r22437;
        double r22439 = r22423 + r22438;
        double r22440 = sqrt(r22439);
        double r22441 = r22423 / r22440;
        double r22442 = r22423 + r22441;
        double r22443 = r22425 * r22442;
        double r22444 = sqrt(r22443);
        return r22444;
}

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 r22445, r22446, r22447, r22448, r22449, r22450, r22451, r22452, r22453, r22454, r22455, r22456, r22457, r22458, r22459, r22460, r22461, r22462, r22463, r22464, r22465, r22466;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22445, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22446, "2", 10, MPFR_RNDN);
        mpfr_init(r22447);
        mpfr_init(r22448);
        mpfr_init(r22449);
        mpfr_init(r22450);
        mpfr_init(r22451);
        mpfr_init(r22452);
        mpfr_init(r22453);
        mpfr_init(r22454);
        mpfr_init(r22455);
        mpfr_init(r22456);
        mpfr_init(r22457);
        mpfr_init(r22458);
        mpfr_init(r22459);
        mpfr_init(r22460);
        mpfr_init(r22461);
        mpfr_init(r22462);
        mpfr_init(r22463);
        mpfr_init(r22464);
        mpfr_init(r22465);
        mpfr_init(r22466);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r22447, r22445, r22446, MPFR_RNDN);
        mpfr_set_d(r22448, l, MPFR_RNDN);
        mpfr_mul(r22449, r22446, r22448, MPFR_RNDN);
        mpfr_set_d(r22450, Om, MPFR_RNDN);
        mpfr_div(r22451, r22449, r22450, MPFR_RNDN);
        mpfr_pow(r22452, r22451, r22446, MPFR_RNDN);
        mpfr_set_d(r22453, kx, MPFR_RNDN);
        mpfr_sin(r22454, r22453, MPFR_RNDN);
        mpfr_pow(r22455, r22454, r22446, MPFR_RNDN);
        mpfr_set_d(r22456, ky, MPFR_RNDN);
        mpfr_sin(r22457, r22456, MPFR_RNDN);
        mpfr_pow(r22458, r22457, r22446, MPFR_RNDN);
        mpfr_add(r22459, r22455, r22458, MPFR_RNDN);
        mpfr_mul(r22460, r22452, r22459, MPFR_RNDN);
        mpfr_add(r22461, r22445, r22460, MPFR_RNDN);
        mpfr_sqrt(r22462, r22461, MPFR_RNDN);
        mpfr_div(r22463, r22445, r22462, MPFR_RNDN);
        mpfr_add(r22464, r22445, r22463, MPFR_RNDN);
        mpfr_mul(r22465, r22447, r22464, MPFR_RNDN);
        mpfr_sqrt(r22466, r22465, MPFR_RNDN);
        return mpfr_get_d(r22466, MPFR_RNDN);
}

static mpfr_t r22467, r22468, r22469, r22470, r22471, r22472, r22473, r22474, r22475, r22476, r22477, r22478, r22479, r22480, r22481, r22482, r22483, r22484, r22485, r22486, r22487, r22488;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22467, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22468, "2", 10, MPFR_RNDN);
        mpfr_init(r22469);
        mpfr_init(r22470);
        mpfr_init(r22471);
        mpfr_init(r22472);
        mpfr_init(r22473);
        mpfr_init(r22474);
        mpfr_init(r22475);
        mpfr_init(r22476);
        mpfr_init(r22477);
        mpfr_init(r22478);
        mpfr_init(r22479);
        mpfr_init(r22480);
        mpfr_init(r22481);
        mpfr_init(r22482);
        mpfr_init(r22483);
        mpfr_init(r22484);
        mpfr_init(r22485);
        mpfr_init(r22486);
        mpfr_init(r22487);
        mpfr_init(r22488);
}

double f_fm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r22469, r22467, r22468, MPFR_RNDN);
        mpfr_set_d(r22470, l, MPFR_RNDN);
        mpfr_mul(r22471, r22468, r22470, MPFR_RNDN);
        mpfr_set_d(r22472, Om, MPFR_RNDN);
        mpfr_div(r22473, r22471, r22472, MPFR_RNDN);
        mpfr_set_d(r22474, kx, MPFR_RNDN);
        mpfr_sin(r22475, r22474, MPFR_RNDN);
        mpfr_pow(r22476, r22475, r22468, MPFR_RNDN);
        mpfr_set_d(r22477, ky, MPFR_RNDN);
        mpfr_sin(r22478, r22477, MPFR_RNDN);
        mpfr_pow(r22479, r22478, r22468, MPFR_RNDN);
        mpfr_add(r22480, r22476, r22479, MPFR_RNDN);
        mpfr_mul(r22481, r22473, r22480, MPFR_RNDN);
        mpfr_mul(r22482, r22473, r22481, MPFR_RNDN);
        mpfr_add(r22483, r22467, r22482, MPFR_RNDN);
        mpfr_sqrt(r22484, r22483, MPFR_RNDN);
        mpfr_div(r22485, r22467, r22484, MPFR_RNDN);
        mpfr_add(r22486, r22467, r22485, MPFR_RNDN);
        mpfr_mul(r22487, r22469, r22486, MPFR_RNDN);
        mpfr_sqrt(r22488, r22487, MPFR_RNDN);
        return mpfr_get_d(r22488, MPFR_RNDN);
}

static mpfr_t r22489, r22490, r22491, r22492, r22493, r22494, r22495, r22496, r22497, r22498, r22499, r22500, r22501, r22502, r22503, r22504, r22505, r22506, r22507, r22508, r22509, r22510;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22489, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22490, "2", 10, MPFR_RNDN);
        mpfr_init(r22491);
        mpfr_init(r22492);
        mpfr_init(r22493);
        mpfr_init(r22494);
        mpfr_init(r22495);
        mpfr_init(r22496);
        mpfr_init(r22497);
        mpfr_init(r22498);
        mpfr_init(r22499);
        mpfr_init(r22500);
        mpfr_init(r22501);
        mpfr_init(r22502);
        mpfr_init(r22503);
        mpfr_init(r22504);
        mpfr_init(r22505);
        mpfr_init(r22506);
        mpfr_init(r22507);
        mpfr_init(r22508);
        mpfr_init(r22509);
        mpfr_init(r22510);
}

double f_dm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r22491, r22489, r22490, MPFR_RNDN);
        mpfr_set_d(r22492, l, MPFR_RNDN);
        mpfr_mul(r22493, r22490, r22492, MPFR_RNDN);
        mpfr_set_d(r22494, Om, MPFR_RNDN);
        mpfr_div(r22495, r22493, r22494, MPFR_RNDN);
        mpfr_set_d(r22496, kx, MPFR_RNDN);
        mpfr_sin(r22497, r22496, MPFR_RNDN);
        mpfr_pow(r22498, r22497, r22490, MPFR_RNDN);
        mpfr_set_d(r22499, ky, MPFR_RNDN);
        mpfr_sin(r22500, r22499, MPFR_RNDN);
        mpfr_pow(r22501, r22500, r22490, MPFR_RNDN);
        mpfr_add(r22502, r22498, r22501, MPFR_RNDN);
        mpfr_mul(r22503, r22495, r22502, MPFR_RNDN);
        mpfr_mul(r22504, r22495, r22503, MPFR_RNDN);
        mpfr_add(r22505, r22489, r22504, MPFR_RNDN);
        mpfr_sqrt(r22506, r22505, MPFR_RNDN);
        mpfr_div(r22507, r22489, r22506, MPFR_RNDN);
        mpfr_add(r22508, r22489, r22507, MPFR_RNDN);
        mpfr_mul(r22509, r22491, r22508, MPFR_RNDN);
        mpfr_sqrt(r22510, r22509, MPFR_RNDN);
        return mpfr_get_d(r22510, MPFR_RNDN);
}

