#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 r20339 = 1;
        float r20340 = 2;
        float r20341 = r20339 / r20340;
        float r20342 = l;
        float r20343 = r20340 * r20342;
        float r20344 = Om;
        float r20345 = r20343 / r20344;
        float r20346 = pow(r20345, r20340);
        float r20347 = kx;
        float r20348 = sin(r20347);
        float r20349 = pow(r20348, r20340);
        float r20350 = ky;
        float r20351 = sin(r20350);
        float r20352 = pow(r20351, r20340);
        float r20353 = r20349 + r20352;
        float r20354 = r20346 * r20353;
        float r20355 = r20339 + r20354;
        float r20356 = sqrt(r20355);
        float r20357 = r20339 / r20356;
        float r20358 = r20339 + r20357;
        float r20359 = r20341 * r20358;
        float r20360 = sqrt(r20359);
        return r20360;
}

double f_id(double l, double Om, double kx, double ky) {
        double r20361 = 1;
        double r20362 = 2;
        double r20363 = r20361 / r20362;
        double r20364 = l;
        double r20365 = r20362 * r20364;
        double r20366 = Om;
        double r20367 = r20365 / r20366;
        double r20368 = pow(r20367, r20362);
        double r20369 = kx;
        double r20370 = sin(r20369);
        double r20371 = pow(r20370, r20362);
        double r20372 = ky;
        double r20373 = sin(r20372);
        double r20374 = pow(r20373, r20362);
        double r20375 = r20371 + r20374;
        double r20376 = r20368 * r20375;
        double r20377 = r20361 + r20376;
        double r20378 = sqrt(r20377);
        double r20379 = r20361 / r20378;
        double r20380 = r20361 + r20379;
        double r20381 = r20363 * r20380;
        double r20382 = sqrt(r20381);
        return r20382;
}


double f_of(float l, float Om, float kx, float ky) {
        float r20383 = 1;
        float r20384 = 2;
        float r20385 = r20383 / r20384;
        float r20386 = l;
        float r20387 = r20384 * r20386;
        float r20388 = Om;
        float r20389 = r20387 / r20388;
        float r20390 = kx;
        float r20391 = sin(r20390);
        float r20392 = pow(r20391, r20384);
        float r20393 = ky;
        float r20394 = sin(r20393);
        float r20395 = pow(r20394, r20384);
        float r20396 = r20392 + r20395;
        float r20397 = r20389 * r20396;
        float r20398 = r20389 * r20397;
        float r20399 = r20383 + r20398;
        float r20400 = sqrt(r20399);
        float r20401 = r20383 / r20400;
        float r20402 = r20383 + r20401;
        float r20403 = r20385 * r20402;
        float r20404 = sqrt(r20403);
        return r20404;
}

double f_od(double l, double Om, double kx, double ky) {
        double r20405 = 1;
        double r20406 = 2;
        double r20407 = r20405 / r20406;
        double r20408 = l;
        double r20409 = r20406 * r20408;
        double r20410 = Om;
        double r20411 = r20409 / r20410;
        double r20412 = kx;
        double r20413 = sin(r20412);
        double r20414 = pow(r20413, r20406);
        double r20415 = ky;
        double r20416 = sin(r20415);
        double r20417 = pow(r20416, r20406);
        double r20418 = r20414 + r20417;
        double r20419 = r20411 * r20418;
        double r20420 = r20411 * r20419;
        double r20421 = r20405 + r20420;
        double r20422 = sqrt(r20421);
        double r20423 = r20405 / r20422;
        double r20424 = r20405 + r20423;
        double r20425 = r20407 * r20424;
        double r20426 = sqrt(r20425);
        return r20426;
}

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 r20427, r20428, r20429, r20430, r20431, r20432, r20433, r20434, r20435, r20436, r20437, r20438, r20439, r20440, r20441, r20442, r20443, r20444, r20445, r20446, r20447, r20448;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r20427, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r20428, "2", 10, MPFR_RNDN);
        mpfr_init(r20429);
        mpfr_init(r20430);
        mpfr_init(r20431);
        mpfr_init(r20432);
        mpfr_init(r20433);
        mpfr_init(r20434);
        mpfr_init(r20435);
        mpfr_init(r20436);
        mpfr_init(r20437);
        mpfr_init(r20438);
        mpfr_init(r20439);
        mpfr_init(r20440);
        mpfr_init(r20441);
        mpfr_init(r20442);
        mpfr_init(r20443);
        mpfr_init(r20444);
        mpfr_init(r20445);
        mpfr_init(r20446);
        mpfr_init(r20447);
        mpfr_init(r20448);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r20429, r20427, r20428, MPFR_RNDN);
        mpfr_set_d(r20430, l, MPFR_RNDN);
        mpfr_mul(r20431, r20428, r20430, MPFR_RNDN);
        mpfr_set_d(r20432, Om, MPFR_RNDN);
        mpfr_div(r20433, r20431, r20432, MPFR_RNDN);
        mpfr_pow(r20434, r20433, r20428, MPFR_RNDN);
        mpfr_set_d(r20435, kx, MPFR_RNDN);
        mpfr_sin(r20436, r20435, MPFR_RNDN);
        mpfr_pow(r20437, r20436, r20428, MPFR_RNDN);
        mpfr_set_d(r20438, ky, MPFR_RNDN);
        mpfr_sin(r20439, r20438, MPFR_RNDN);
        mpfr_pow(r20440, r20439, r20428, MPFR_RNDN);
        mpfr_add(r20441, r20437, r20440, MPFR_RNDN);
        mpfr_mul(r20442, r20434, r20441, MPFR_RNDN);
        mpfr_add(r20443, r20427, r20442, MPFR_RNDN);
        mpfr_sqrt(r20444, r20443, MPFR_RNDN);
        mpfr_div(r20445, r20427, r20444, MPFR_RNDN);
        mpfr_add(r20446, r20427, r20445, MPFR_RNDN);
        mpfr_mul(r20447, r20429, r20446, MPFR_RNDN);
        mpfr_sqrt(r20448, r20447, MPFR_RNDN);
        return mpfr_get_d(r20448, MPFR_RNDN);
}

static mpfr_t r20449, r20450, r20451, r20452, r20453, r20454, r20455, r20456, r20457, r20458, r20459, r20460, r20461, r20462, r20463, r20464, r20465, r20466, r20467, r20468, r20469, r20470;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r20449, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r20450, "2", 10, MPFR_RNDN);
        mpfr_init(r20451);
        mpfr_init(r20452);
        mpfr_init(r20453);
        mpfr_init(r20454);
        mpfr_init(r20455);
        mpfr_init(r20456);
        mpfr_init(r20457);
        mpfr_init(r20458);
        mpfr_init(r20459);
        mpfr_init(r20460);
        mpfr_init(r20461);
        mpfr_init(r20462);
        mpfr_init(r20463);
        mpfr_init(r20464);
        mpfr_init(r20465);
        mpfr_init(r20466);
        mpfr_init(r20467);
        mpfr_init(r20468);
        mpfr_init(r20469);
        mpfr_init(r20470);
}

double f_fm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r20451, r20449, r20450, MPFR_RNDN);
        mpfr_set_d(r20452, l, MPFR_RNDN);
        mpfr_mul(r20453, r20450, r20452, MPFR_RNDN);
        mpfr_set_d(r20454, Om, MPFR_RNDN);
        mpfr_div(r20455, r20453, r20454, MPFR_RNDN);
        mpfr_set_d(r20456, kx, MPFR_RNDN);
        mpfr_sin(r20457, r20456, MPFR_RNDN);
        mpfr_pow(r20458, r20457, r20450, MPFR_RNDN);
        mpfr_set_d(r20459, ky, MPFR_RNDN);
        mpfr_sin(r20460, r20459, MPFR_RNDN);
        mpfr_pow(r20461, r20460, r20450, MPFR_RNDN);
        mpfr_add(r20462, r20458, r20461, MPFR_RNDN);
        mpfr_mul(r20463, r20455, r20462, MPFR_RNDN);
        mpfr_mul(r20464, r20455, r20463, MPFR_RNDN);
        mpfr_add(r20465, r20449, r20464, MPFR_RNDN);
        mpfr_sqrt(r20466, r20465, MPFR_RNDN);
        mpfr_div(r20467, r20449, r20466, MPFR_RNDN);
        mpfr_add(r20468, r20449, r20467, MPFR_RNDN);
        mpfr_mul(r20469, r20451, r20468, MPFR_RNDN);
        mpfr_sqrt(r20470, r20469, MPFR_RNDN);
        return mpfr_get_d(r20470, MPFR_RNDN);
}

static mpfr_t r20471, r20472, r20473, r20474, r20475, r20476, r20477, r20478, r20479, r20480, r20481, r20482, r20483, r20484, r20485, r20486, r20487, r20488, r20489, r20490, r20491, r20492;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r20471, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r20472, "2", 10, MPFR_RNDN);
        mpfr_init(r20473);
        mpfr_init(r20474);
        mpfr_init(r20475);
        mpfr_init(r20476);
        mpfr_init(r20477);
        mpfr_init(r20478);
        mpfr_init(r20479);
        mpfr_init(r20480);
        mpfr_init(r20481);
        mpfr_init(r20482);
        mpfr_init(r20483);
        mpfr_init(r20484);
        mpfr_init(r20485);
        mpfr_init(r20486);
        mpfr_init(r20487);
        mpfr_init(r20488);
        mpfr_init(r20489);
        mpfr_init(r20490);
        mpfr_init(r20491);
        mpfr_init(r20492);
}

double f_dm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r20473, r20471, r20472, MPFR_RNDN);
        mpfr_set_d(r20474, l, MPFR_RNDN);
        mpfr_mul(r20475, r20472, r20474, MPFR_RNDN);
        mpfr_set_d(r20476, Om, MPFR_RNDN);
        mpfr_div(r20477, r20475, r20476, MPFR_RNDN);
        mpfr_set_d(r20478, kx, MPFR_RNDN);
        mpfr_sin(r20479, r20478, MPFR_RNDN);
        mpfr_pow(r20480, r20479, r20472, MPFR_RNDN);
        mpfr_set_d(r20481, ky, MPFR_RNDN);
        mpfr_sin(r20482, r20481, MPFR_RNDN);
        mpfr_pow(r20483, r20482, r20472, MPFR_RNDN);
        mpfr_add(r20484, r20480, r20483, MPFR_RNDN);
        mpfr_mul(r20485, r20477, r20484, MPFR_RNDN);
        mpfr_mul(r20486, r20477, r20485, MPFR_RNDN);
        mpfr_add(r20487, r20471, r20486, MPFR_RNDN);
        mpfr_sqrt(r20488, r20487, MPFR_RNDN);
        mpfr_div(r20489, r20471, r20488, MPFR_RNDN);
        mpfr_add(r20490, r20471, r20489, MPFR_RNDN);
        mpfr_mul(r20491, r20473, r20490, MPFR_RNDN);
        mpfr_sqrt(r20492, r20491, MPFR_RNDN);
        return mpfr_get_d(r20492, MPFR_RNDN);
}

