#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 r24277 = 1;
        float r24278 = 2;
        float r24279 = r24277 / r24278;
        float r24280 = l;
        float r24281 = r24278 * r24280;
        float r24282 = Om;
        float r24283 = r24281 / r24282;
        float r24284 = pow(r24283, r24278);
        float r24285 = kx;
        float r24286 = sin(r24285);
        float r24287 = pow(r24286, r24278);
        float r24288 = ky;
        float r24289 = sin(r24288);
        float r24290 = pow(r24289, r24278);
        float r24291 = r24287 + r24290;
        float r24292 = r24284 * r24291;
        float r24293 = r24277 + r24292;
        float r24294 = sqrt(r24293);
        float r24295 = r24277 / r24294;
        float r24296 = r24277 + r24295;
        float r24297 = r24279 * r24296;
        float r24298 = sqrt(r24297);
        return r24298;
}

double f_id(double l, double Om, double kx, double ky) {
        double r24299 = 1;
        double r24300 = 2;
        double r24301 = r24299 / r24300;
        double r24302 = l;
        double r24303 = r24300 * r24302;
        double r24304 = Om;
        double r24305 = r24303 / r24304;
        double r24306 = pow(r24305, r24300);
        double r24307 = kx;
        double r24308 = sin(r24307);
        double r24309 = pow(r24308, r24300);
        double r24310 = ky;
        double r24311 = sin(r24310);
        double r24312 = pow(r24311, r24300);
        double r24313 = r24309 + r24312;
        double r24314 = r24306 * r24313;
        double r24315 = r24299 + r24314;
        double r24316 = sqrt(r24315);
        double r24317 = r24299 / r24316;
        double r24318 = r24299 + r24317;
        double r24319 = r24301 * r24318;
        double r24320 = sqrt(r24319);
        return r24320;
}


double f_of(float l, float Om, float kx, float ky) {
        float r24321 = ky;
        float r24322 = -1.0941952882186937e-120;
        bool r24323 = r24321 <= r24322;
        float r24324 = 1;
        float r24325 = 2;
        float r24326 = r24324 / r24325;
        float r24327 = l;
        float r24328 = r24325 * r24327;
        float r24329 = Om;
        float r24330 = r24328 / r24329;
        float r24331 = pow(r24330, r24325);
        float r24332 = kx;
        float r24333 = sin(r24332);
        float r24334 = pow(r24333, r24325);
        float r24335 = sin(r24321);
        float r24336 = pow(r24335, r24325);
        float r24337 = r24334 + r24336;
        float r24338 = r24331 * r24337;
        float r24339 = r24324 + r24338;
        float r24340 = sqrt(r24339);
        float r24341 = r24324 / r24340;
        float r24342 = r24324 + r24341;
        float r24343 = r24326 * r24342;
        float r24344 = sqrt(r24343);
        float r24345 = 3.9231890588882945e-226;
        bool r24346 = r24321 <= r24345;
        float r24347 = r24324 / r24321;
        float r24348 = sin(r24347);
        float r24349 = pow(r24348, r24325);
        float r24350 = r24334 + r24349;
        float r24351 = r24331 * r24350;
        float r24352 = r24324 + r24351;
        float r24353 = sqrt(r24352);
        float r24354 = r24324 / r24353;
        float r24355 = r24324 + r24354;
        float r24356 = r24326 * r24355;
        float r24357 = sqrt(r24356);
        float r24358 = r24346 ? r24357 : r24344;
        float r24359 = r24323 ? r24344 : r24358;
        return r24359;
}

double f_od(double l, double Om, double kx, double ky) {
        double r24360 = ky;
        double r24361 = -1.0941952882186937e-120;
        bool r24362 = r24360 <= r24361;
        double r24363 = 1;
        double r24364 = 2;
        double r24365 = r24363 / r24364;
        double r24366 = l;
        double r24367 = r24364 * r24366;
        double r24368 = Om;
        double r24369 = r24367 / r24368;
        double r24370 = pow(r24369, r24364);
        double r24371 = kx;
        double r24372 = sin(r24371);
        double r24373 = pow(r24372, r24364);
        double r24374 = sin(r24360);
        double r24375 = pow(r24374, r24364);
        double r24376 = r24373 + r24375;
        double r24377 = r24370 * r24376;
        double r24378 = r24363 + r24377;
        double r24379 = sqrt(r24378);
        double r24380 = r24363 / r24379;
        double r24381 = r24363 + r24380;
        double r24382 = r24365 * r24381;
        double r24383 = sqrt(r24382);
        double r24384 = 3.9231890588882945e-226;
        bool r24385 = r24360 <= r24384;
        double r24386 = r24363 / r24360;
        double r24387 = sin(r24386);
        double r24388 = pow(r24387, r24364);
        double r24389 = r24373 + r24388;
        double r24390 = r24370 * r24389;
        double r24391 = r24363 + r24390;
        double r24392 = sqrt(r24391);
        double r24393 = r24363 / r24392;
        double r24394 = r24363 + r24393;
        double r24395 = r24365 * r24394;
        double r24396 = sqrt(r24395);
        double r24397 = r24385 ? r24396 : r24383;
        double r24398 = r24362 ? r24383 : r24397;
        return r24398;
}

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 r24399, r24400, r24401, r24402, r24403, r24404, r24405, r24406, r24407, r24408, r24409, r24410, r24411, r24412, r24413, r24414, r24415, r24416, r24417, r24418, r24419, r24420;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r24399, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r24400, "2", 10, MPFR_RNDN);
        mpfr_init(r24401);
        mpfr_init(r24402);
        mpfr_init(r24403);
        mpfr_init(r24404);
        mpfr_init(r24405);
        mpfr_init(r24406);
        mpfr_init(r24407);
        mpfr_init(r24408);
        mpfr_init(r24409);
        mpfr_init(r24410);
        mpfr_init(r24411);
        mpfr_init(r24412);
        mpfr_init(r24413);
        mpfr_init(r24414);
        mpfr_init(r24415);
        mpfr_init(r24416);
        mpfr_init(r24417);
        mpfr_init(r24418);
        mpfr_init(r24419);
        mpfr_init(r24420);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r24401, r24399, r24400, MPFR_RNDN);
        mpfr_set_d(r24402, l, MPFR_RNDN);
        mpfr_mul(r24403, r24400, r24402, MPFR_RNDN);
        mpfr_set_d(r24404, Om, MPFR_RNDN);
        mpfr_div(r24405, r24403, r24404, MPFR_RNDN);
        mpfr_pow(r24406, r24405, r24400, MPFR_RNDN);
        mpfr_set_d(r24407, kx, MPFR_RNDN);
        mpfr_sin(r24408, r24407, MPFR_RNDN);
        mpfr_pow(r24409, r24408, r24400, MPFR_RNDN);
        mpfr_set_d(r24410, ky, MPFR_RNDN);
        mpfr_sin(r24411, r24410, MPFR_RNDN);
        mpfr_pow(r24412, r24411, r24400, MPFR_RNDN);
        mpfr_add(r24413, r24409, r24412, MPFR_RNDN);
        mpfr_mul(r24414, r24406, r24413, MPFR_RNDN);
        mpfr_add(r24415, r24399, r24414, MPFR_RNDN);
        mpfr_sqrt(r24416, r24415, MPFR_RNDN);
        mpfr_div(r24417, r24399, r24416, MPFR_RNDN);
        mpfr_add(r24418, r24399, r24417, MPFR_RNDN);
        mpfr_mul(r24419, r24401, r24418, MPFR_RNDN);
        mpfr_sqrt(r24420, r24419, MPFR_RNDN);
        return mpfr_get_d(r24420, MPFR_RNDN);
}

static mpfr_t r24421, r24422, r24423, r24424, r24425, r24426, r24427, r24428, r24429, r24430, r24431, r24432, r24433, r24434, r24435, r24436, r24437, r24438, r24439, r24440, r24441, r24442, r24443, r24444, r24445, r24446, r24447, r24448, r24449, r24450, r24451, r24452, r24453, r24454, r24455, r24456, r24457, r24458, r24459;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r24421);
        mpfr_init_set_str(r24422, "-1.0941952882186937e-120", 10, MPFR_RNDN);
        mpfr_init(r24423);
        mpfr_init_set_str(r24424, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r24425, "2", 10, MPFR_RNDN);
        mpfr_init(r24426);
        mpfr_init(r24427);
        mpfr_init(r24428);
        mpfr_init(r24429);
        mpfr_init(r24430);
        mpfr_init(r24431);
        mpfr_init(r24432);
        mpfr_init(r24433);
        mpfr_init(r24434);
        mpfr_init(r24435);
        mpfr_init(r24436);
        mpfr_init(r24437);
        mpfr_init(r24438);
        mpfr_init(r24439);
        mpfr_init(r24440);
        mpfr_init(r24441);
        mpfr_init(r24442);
        mpfr_init(r24443);
        mpfr_init(r24444);
        mpfr_init_set_str(r24445, "3.9231890588882945e-226", 10, MPFR_RNDN);
        mpfr_init(r24446);
        mpfr_init(r24447);
        mpfr_init(r24448);
        mpfr_init(r24449);
        mpfr_init(r24450);
        mpfr_init(r24451);
        mpfr_init(r24452);
        mpfr_init(r24453);
        mpfr_init(r24454);
        mpfr_init(r24455);
        mpfr_init(r24456);
        mpfr_init(r24457);
        mpfr_init(r24458);
        mpfr_init(r24459);
}

double f_fm(double l, double Om, double kx, double ky) {
        mpfr_set_d(r24421, ky, MPFR_RNDN);
        ;
        mpfr_set_si(r24423, mpfr_cmp(r24421, r24422) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_div(r24426, r24424, r24425, MPFR_RNDN);
        mpfr_set_d(r24427, l, MPFR_RNDN);
        mpfr_mul(r24428, r24425, r24427, MPFR_RNDN);
        mpfr_set_d(r24429, Om, MPFR_RNDN);
        mpfr_div(r24430, r24428, r24429, MPFR_RNDN);
        mpfr_pow(r24431, r24430, r24425, MPFR_RNDN);
        mpfr_set_d(r24432, kx, MPFR_RNDN);
        mpfr_sin(r24433, r24432, MPFR_RNDN);
        mpfr_pow(r24434, r24433, r24425, MPFR_RNDN);
        mpfr_sin(r24435, r24421, MPFR_RNDN);
        mpfr_pow(r24436, r24435, r24425, MPFR_RNDN);
        mpfr_add(r24437, r24434, r24436, MPFR_RNDN);
        mpfr_mul(r24438, r24431, r24437, MPFR_RNDN);
        mpfr_add(r24439, r24424, r24438, MPFR_RNDN);
        mpfr_sqrt(r24440, r24439, MPFR_RNDN);
        mpfr_div(r24441, r24424, r24440, MPFR_RNDN);
        mpfr_add(r24442, r24424, r24441, MPFR_RNDN);
        mpfr_mul(r24443, r24426, r24442, MPFR_RNDN);
        mpfr_sqrt(r24444, r24443, MPFR_RNDN);
        ;
        mpfr_set_si(r24446, mpfr_cmp(r24421, r24445) <= 0, MPFR_RNDN);
        mpfr_div(r24447, r24424, r24421, MPFR_RNDN);
        mpfr_sin(r24448, r24447, MPFR_RNDN);
        mpfr_pow(r24449, r24448, r24425, MPFR_RNDN);
        mpfr_add(r24450, r24434, r24449, MPFR_RNDN);
        mpfr_mul(r24451, r24431, r24450, MPFR_RNDN);
        mpfr_add(r24452, r24424, r24451, MPFR_RNDN);
        mpfr_sqrt(r24453, r24452, MPFR_RNDN);
        mpfr_div(r24454, r24424, r24453, MPFR_RNDN);
        mpfr_add(r24455, r24424, r24454, MPFR_RNDN);
        mpfr_mul(r24456, r24426, r24455, MPFR_RNDN);
        mpfr_sqrt(r24457, r24456, MPFR_RNDN);
        if (mpfr_get_si(r24446, MPFR_RNDN)) { mpfr_set(r24458, r24457, MPFR_RNDN); } else { mpfr_set(r24458, r24444, MPFR_RNDN); };
        if (mpfr_get_si(r24423, MPFR_RNDN)) { mpfr_set(r24459, r24444, MPFR_RNDN); } else { mpfr_set(r24459, r24458, MPFR_RNDN); };
        return mpfr_get_d(r24459, MPFR_RNDN);
}

static mpfr_t r24460, r24461, r24462, r24463, r24464, r24465, r24466, r24467, r24468, r24469, r24470, r24471, r24472, r24473, r24474, r24475, r24476, r24477, r24478, r24479, r24480, r24481, r24482, r24483, r24484, r24485, r24486, r24487, r24488, r24489, r24490, r24491, r24492, r24493, r24494, r24495, r24496, r24497, r24498;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r24460);
        mpfr_init_set_str(r24461, "-1.0941952882186937e-120", 10, MPFR_RNDN);
        mpfr_init(r24462);
        mpfr_init_set_str(r24463, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r24464, "2", 10, MPFR_RNDN);
        mpfr_init(r24465);
        mpfr_init(r24466);
        mpfr_init(r24467);
        mpfr_init(r24468);
        mpfr_init(r24469);
        mpfr_init(r24470);
        mpfr_init(r24471);
        mpfr_init(r24472);
        mpfr_init(r24473);
        mpfr_init(r24474);
        mpfr_init(r24475);
        mpfr_init(r24476);
        mpfr_init(r24477);
        mpfr_init(r24478);
        mpfr_init(r24479);
        mpfr_init(r24480);
        mpfr_init(r24481);
        mpfr_init(r24482);
        mpfr_init(r24483);
        mpfr_init_set_str(r24484, "3.9231890588882945e-226", 10, MPFR_RNDN);
        mpfr_init(r24485);
        mpfr_init(r24486);
        mpfr_init(r24487);
        mpfr_init(r24488);
        mpfr_init(r24489);
        mpfr_init(r24490);
        mpfr_init(r24491);
        mpfr_init(r24492);
        mpfr_init(r24493);
        mpfr_init(r24494);
        mpfr_init(r24495);
        mpfr_init(r24496);
        mpfr_init(r24497);
        mpfr_init(r24498);
}

double f_dm(double l, double Om, double kx, double ky) {
        mpfr_set_d(r24460, ky, MPFR_RNDN);
        ;
        mpfr_set_si(r24462, mpfr_cmp(r24460, r24461) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_div(r24465, r24463, r24464, MPFR_RNDN);
        mpfr_set_d(r24466, l, MPFR_RNDN);
        mpfr_mul(r24467, r24464, r24466, MPFR_RNDN);
        mpfr_set_d(r24468, Om, MPFR_RNDN);
        mpfr_div(r24469, r24467, r24468, MPFR_RNDN);
        mpfr_pow(r24470, r24469, r24464, MPFR_RNDN);
        mpfr_set_d(r24471, kx, MPFR_RNDN);
        mpfr_sin(r24472, r24471, MPFR_RNDN);
        mpfr_pow(r24473, r24472, r24464, MPFR_RNDN);
        mpfr_sin(r24474, r24460, MPFR_RNDN);
        mpfr_pow(r24475, r24474, r24464, MPFR_RNDN);
        mpfr_add(r24476, r24473, r24475, MPFR_RNDN);
        mpfr_mul(r24477, r24470, r24476, MPFR_RNDN);
        mpfr_add(r24478, r24463, r24477, MPFR_RNDN);
        mpfr_sqrt(r24479, r24478, MPFR_RNDN);
        mpfr_div(r24480, r24463, r24479, MPFR_RNDN);
        mpfr_add(r24481, r24463, r24480, MPFR_RNDN);
        mpfr_mul(r24482, r24465, r24481, MPFR_RNDN);
        mpfr_sqrt(r24483, r24482, MPFR_RNDN);
        ;
        mpfr_set_si(r24485, mpfr_cmp(r24460, r24484) <= 0, MPFR_RNDN);
        mpfr_div(r24486, r24463, r24460, MPFR_RNDN);
        mpfr_sin(r24487, r24486, MPFR_RNDN);
        mpfr_pow(r24488, r24487, r24464, MPFR_RNDN);
        mpfr_add(r24489, r24473, r24488, MPFR_RNDN);
        mpfr_mul(r24490, r24470, r24489, MPFR_RNDN);
        mpfr_add(r24491, r24463, r24490, MPFR_RNDN);
        mpfr_sqrt(r24492, r24491, MPFR_RNDN);
        mpfr_div(r24493, r24463, r24492, MPFR_RNDN);
        mpfr_add(r24494, r24463, r24493, MPFR_RNDN);
        mpfr_mul(r24495, r24465, r24494, MPFR_RNDN);
        mpfr_sqrt(r24496, r24495, MPFR_RNDN);
        if (mpfr_get_si(r24485, MPFR_RNDN)) { mpfr_set(r24497, r24496, MPFR_RNDN); } else { mpfr_set(r24497, r24483, MPFR_RNDN); };
        if (mpfr_get_si(r24462, MPFR_RNDN)) { mpfr_set(r24498, r24483, MPFR_RNDN); } else { mpfr_set(r24498, r24497, MPFR_RNDN); };
        return mpfr_get_d(r24498, MPFR_RNDN);
}