#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 r22365 = 1;
        float r22366 = 2;
        float r22367 = r22365 / r22366;
        float r22368 = l;
        float r22369 = r22366 * r22368;
        float r22370 = Om;
        float r22371 = r22369 / r22370;
        float r22372 = pow(r22371, r22366);
        float r22373 = kx;
        float r22374 = sin(r22373);
        float r22375 = pow(r22374, r22366);
        float r22376 = ky;
        float r22377 = sin(r22376);
        float r22378 = pow(r22377, r22366);
        float r22379 = r22375 + r22378;
        float r22380 = r22372 * r22379;
        float r22381 = r22365 + r22380;
        float r22382 = sqrt(r22381);
        float r22383 = r22365 / r22382;
        float r22384 = r22365 + r22383;
        float r22385 = r22367 * r22384;
        float r22386 = sqrt(r22385);
        return r22386;
}

double f_id(double l, double Om, double kx, double ky) {
        double r22387 = 1;
        double r22388 = 2;
        double r22389 = r22387 / r22388;
        double r22390 = l;
        double r22391 = r22388 * r22390;
        double r22392 = Om;
        double r22393 = r22391 / r22392;
        double r22394 = pow(r22393, r22388);
        double r22395 = kx;
        double r22396 = sin(r22395);
        double r22397 = pow(r22396, r22388);
        double r22398 = ky;
        double r22399 = sin(r22398);
        double r22400 = pow(r22399, r22388);
        double r22401 = r22397 + r22400;
        double r22402 = r22394 * r22401;
        double r22403 = r22387 + r22402;
        double r22404 = sqrt(r22403);
        double r22405 = r22387 / r22404;
        double r22406 = r22387 + r22405;
        double r22407 = r22389 * r22406;
        double r22408 = sqrt(r22407);
        return r22408;
}


double f_of(float l, float Om, float kx, float ky) {
        float r22409 = 1;
        float r22410 = 2;
        float r22411 = r22409 / r22410;
        float r22412 = l;
        float r22413 = Om;
        float r22414 = r22413 / r22410;
        float r22415 = r22412 / r22414;
        float r22416 = kx;
        float r22417 = sin(r22416);
        float r22418 = ky;
        float r22419 = sin(r22418);
        float r22420 = hypot(r22417, r22419);
        float r22421 = r22415 * r22420;
        float r22422 = hypot(r22409, r22421);
        float r22423 = expm1(r22422);
        float r22424 = log1p(r22423);
        float r22425 = r22409 / r22424;
        float r22426 = r22409 + r22425;
        float r22427 = r22411 * r22426;
        float r22428 = sqrt(r22427);
        return r22428;
}

double f_od(double l, double Om, double kx, double ky) {
        double r22429 = 1;
        double r22430 = 2;
        double r22431 = r22429 / r22430;
        double r22432 = l;
        double r22433 = Om;
        double r22434 = r22433 / r22430;
        double r22435 = r22432 / r22434;
        double r22436 = kx;
        double r22437 = sin(r22436);
        double r22438 = ky;
        double r22439 = sin(r22438);
        double r22440 = hypot(r22437, r22439);
        double r22441 = r22435 * r22440;
        double r22442 = hypot(r22429, r22441);
        double r22443 = expm1(r22442);
        double r22444 = log1p(r22443);
        double r22445 = r22429 / r22444;
        double r22446 = r22429 + r22445;
        double r22447 = r22431 * r22446;
        double r22448 = sqrt(r22447);
        return r22448;
}

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 r22449, r22450, r22451, r22452, r22453, r22454, r22455, r22456, r22457, r22458, r22459, r22460, r22461, r22462, r22463, r22464, r22465, r22466, r22467, r22468, r22469, r22470;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22449, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22450, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r22467);
        mpfr_init(r22468);
        mpfr_init(r22469);
        mpfr_init(r22470);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r22451, r22449, r22450, MPFR_RNDN);
        mpfr_set_d(r22452, l, MPFR_RNDN);
        mpfr_mul(r22453, r22450, r22452, MPFR_RNDN);
        mpfr_set_d(r22454, Om, MPFR_RNDN);
        mpfr_div(r22455, r22453, r22454, MPFR_RNDN);
        mpfr_pow(r22456, r22455, r22450, MPFR_RNDN);
        mpfr_set_d(r22457, kx, MPFR_RNDN);
        mpfr_sin(r22458, r22457, MPFR_RNDN);
        mpfr_pow(r22459, r22458, r22450, MPFR_RNDN);
        mpfr_set_d(r22460, ky, MPFR_RNDN);
        mpfr_sin(r22461, r22460, MPFR_RNDN);
        mpfr_pow(r22462, r22461, r22450, MPFR_RNDN);
        mpfr_add(r22463, r22459, r22462, MPFR_RNDN);
        mpfr_mul(r22464, r22456, r22463, MPFR_RNDN);
        mpfr_add(r22465, r22449, r22464, MPFR_RNDN);
        mpfr_sqrt(r22466, r22465, MPFR_RNDN);
        mpfr_div(r22467, r22449, r22466, MPFR_RNDN);
        mpfr_add(r22468, r22449, r22467, MPFR_RNDN);
        mpfr_mul(r22469, r22451, r22468, MPFR_RNDN);
        mpfr_sqrt(r22470, r22469, MPFR_RNDN);
        return mpfr_get_d(r22470, MPFR_RNDN);
}

static mpfr_t r22471, r22472, r22473, r22474, r22475, r22476, r22477, r22478, r22479, r22480, r22481, r22482, r22483, r22484, r22485, r22486, r22487, r22488, r22489, r22490;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22471, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22472, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r22489);
        mpfr_init(r22490);
}

double f_fm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r22473, r22471, r22472, MPFR_RNDN);
        mpfr_set_d(r22474, l, MPFR_RNDN);
        mpfr_set_d(r22475, Om, MPFR_RNDN);
        mpfr_div(r22476, r22475, r22472, MPFR_RNDN);
        mpfr_div(r22477, r22474, r22476, MPFR_RNDN);
        mpfr_set_d(r22478, kx, MPFR_RNDN);
        mpfr_sin(r22479, r22478, MPFR_RNDN);
        mpfr_set_d(r22480, ky, MPFR_RNDN);
        mpfr_sin(r22481, r22480, MPFR_RNDN);
        mpfr_hypot(r22482, r22479, r22481, MPFR_RNDN);
        mpfr_mul(r22483, r22477, r22482, MPFR_RNDN);
        mpfr_hypot(r22484, r22471, r22483, MPFR_RNDN);
        mpfr_expm1(r22485, r22484, MPFR_RNDN);
        mpfr_log1p(r22486, r22485, MPFR_RNDN);
        mpfr_div(r22487, r22471, r22486, MPFR_RNDN);
        mpfr_add(r22488, r22471, r22487, MPFR_RNDN);
        mpfr_mul(r22489, r22473, r22488, MPFR_RNDN);
        mpfr_sqrt(r22490, r22489, MPFR_RNDN);
        return mpfr_get_d(r22490, MPFR_RNDN);
}

static mpfr_t 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(r22491, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22492, "2", 10, MPFR_RNDN);
        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(r22493, r22491, r22492, MPFR_RNDN);
        mpfr_set_d(r22494, l, MPFR_RNDN);
        mpfr_set_d(r22495, Om, MPFR_RNDN);
        mpfr_div(r22496, r22495, r22492, MPFR_RNDN);
        mpfr_div(r22497, r22494, r22496, MPFR_RNDN);
        mpfr_set_d(r22498, kx, MPFR_RNDN);
        mpfr_sin(r22499, r22498, MPFR_RNDN);
        mpfr_set_d(r22500, ky, MPFR_RNDN);
        mpfr_sin(r22501, r22500, MPFR_RNDN);
        mpfr_hypot(r22502, r22499, r22501, MPFR_RNDN);
        mpfr_mul(r22503, r22497, r22502, MPFR_RNDN);
        mpfr_hypot(r22504, r22491, r22503, MPFR_RNDN);
        mpfr_expm1(r22505, r22504, MPFR_RNDN);
        mpfr_log1p(r22506, r22505, MPFR_RNDN);
        mpfr_div(r22507, r22491, r22506, MPFR_RNDN);
        mpfr_add(r22508, r22491, r22507, MPFR_RNDN);
        mpfr_mul(r22509, r22493, r22508, MPFR_RNDN);
        mpfr_sqrt(r22510, r22509, MPFR_RNDN);
        return mpfr_get_d(r22510, MPFR_RNDN);
}

