#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 r22384 = 1.0f;
        float r22385 = 2.0f;
        float r22386 = r22384 / r22385;
        float r22387 = l;
        float r22388 = r22385 * r22387;
        float r22389 = Om;
        float r22390 = r22388 / r22389;
        float r22391 = r22390 * r22390;
        float r22392 = kx;
        float r22393 = sin(r22392);
        float r22394 = r22393 * r22393;
        float r22395 = ky;
        float r22396 = sin(r22395);
        float r22397 = r22396 * r22396;
        float r22398 = r22394 + r22397;
        float r22399 = r22391 * r22398;
        float r22400 = r22384 + r22399;
        float r22401 = sqrt(r22400);
        float r22402 = 1.0/r22401;
        float r22403 = r22384 + r22402;
        float r22404 = r22386 * r22403;
        float r22405 = sqrt(r22404);
        return r22405;
}

double f_id(double l, double Om, double kx, double ky) {
        double r22406 = 1.0;
        double r22407 = 2.0;
        double r22408 = r22406 / r22407;
        double r22409 = l;
        double r22410 = r22407 * r22409;
        double r22411 = Om;
        double r22412 = r22410 / r22411;
        double r22413 = r22412 * r22412;
        double r22414 = kx;
        double r22415 = sin(r22414);
        double r22416 = r22415 * r22415;
        double r22417 = ky;
        double r22418 = sin(r22417);
        double r22419 = r22418 * r22418;
        double r22420 = r22416 + r22419;
        double r22421 = r22413 * r22420;
        double r22422 = r22406 + r22421;
        double r22423 = sqrt(r22422);
        double r22424 = 1.0/r22423;
        double r22425 = r22406 + r22424;
        double r22426 = r22408 * r22425;
        double r22427 = sqrt(r22426);
        return r22427;
}


double f_of(float l, float Om, float kx, float ky) {
        float r22428 = 1.0f;
        float r22429 = 2.0f;
        float r22430 = r22428 / r22429;
        float r22431 = l;
        float r22432 = r22429 * r22431;
        float r22433 = Om;
        float r22434 = r22432 / r22433;
        float r22435 = r22434 * r22434;
        float r22436 = kx;
        float r22437 = sin(r22436);
        float r22438 = r22437 * r22437;
        float r22439 = ky;
        float r22440 = sin(r22439);
        float r22441 = r22440 * r22440;
        float r22442 = r22438 + r22441;
        float r22443 = r22435 * r22442;
        float r22444 = r22428 + r22443;
        float r22445 = sqrt(r22444);
        float r22446 = 1.0/r22445;
        float r22447 = exp(r22446);
        float r22448 = log(r22447);
        float r22449 = r22428 + r22448;
        float r22450 = r22430 * r22449;
        float r22451 = sqrt(r22450);
        return r22451;
}

double f_od(double l, double Om, double kx, double ky) {
        double r22452 = 1.0;
        double r22453 = 2.0;
        double r22454 = r22452 / r22453;
        double r22455 = l;
        double r22456 = r22453 * r22455;
        double r22457 = Om;
        double r22458 = r22456 / r22457;
        double r22459 = r22458 * r22458;
        double r22460 = kx;
        double r22461 = sin(r22460);
        double r22462 = r22461 * r22461;
        double r22463 = ky;
        double r22464 = sin(r22463);
        double r22465 = r22464 * r22464;
        double r22466 = r22462 + r22465;
        double r22467 = r22459 * r22466;
        double r22468 = r22452 + r22467;
        double r22469 = sqrt(r22468);
        double r22470 = 1.0/r22469;
        double r22471 = exp(r22470);
        double r22472 = log(r22471);
        double r22473 = r22452 + r22472;
        double r22474 = r22454 * r22473;
        double r22475 = sqrt(r22474);
        return r22475;
}

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 r22476, r22477, r22478, r22479, r22480, r22481, r22482, r22483, r22484, r22485, r22486, r22487, r22488, r22489, r22490, r22491, r22492, r22493, r22494, r22495, r22496, r22497;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r22476, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22477, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r22491);
        mpfr_init(r22492);
        mpfr_init(r22493);
        mpfr_init(r22494);
        mpfr_init(r22495);
        mpfr_init(r22496);
        mpfr_init(r22497);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r22478, r22476, r22477, MPFR_RNDN);
        mpfr_set_d(r22479, l, MPFR_RNDN);
        mpfr_mul(r22480, r22477, r22479, MPFR_RNDN);
        mpfr_set_d(r22481, Om, MPFR_RNDN);
        mpfr_div(r22482, r22480, r22481, MPFR_RNDN);
        mpfr_sqr(r22483, r22482, MPFR_RNDN);
        mpfr_set_d(r22484, kx, MPFR_RNDN);
        mpfr_sin(r22485, r22484, MPFR_RNDN);
        mpfr_sqr(r22486, r22485, MPFR_RNDN);
        mpfr_set_d(r22487, ky, MPFR_RNDN);
        mpfr_sin(r22488, r22487, MPFR_RNDN);
        mpfr_sqr(r22489, r22488, MPFR_RNDN);
        mpfr_add(r22490, r22486, r22489, MPFR_RNDN);
        mpfr_mul(r22491, r22483, r22490, MPFR_RNDN);
        mpfr_add(r22492, r22476, r22491, MPFR_RNDN);
        mpfr_sqrt(r22493, r22492, MPFR_RNDN);
        mpfr_ui_div(r22494, 1, r22493, MPFR_RNDN);
        mpfr_add(r22495, r22476, r22494, MPFR_RNDN);
        mpfr_mul(r22496, r22478, r22495, MPFR_RNDN);
        mpfr_sqrt(r22497, r22496, MPFR_RNDN);
        return mpfr_get_d(r22497, MPFR_RNDN);
}

static mpfr_t r22498, r22499, r22500, r22501, r22502, r22503, r22504, r22505, r22506, r22507, r22508, r22509, r22510, r22511, r22512, r22513, r22514, r22515, r22516, r22517, r22518, r22519, r22520, r22521;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r22498, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22499, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r22511);
        mpfr_init(r22512);
        mpfr_init(r22513);
        mpfr_init(r22514);
        mpfr_init(r22515);
        mpfr_init(r22516);
        mpfr_init(r22517);
        mpfr_init(r22518);
        mpfr_init(r22519);
        mpfr_init(r22520);
        mpfr_init(r22521);
}

double f_fm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r22500, r22498, r22499, MPFR_RNDN);
        mpfr_set_d(r22501, l, MPFR_RNDN);
        mpfr_mul(r22502, r22499, r22501, MPFR_RNDN);
        mpfr_set_d(r22503, Om, MPFR_RNDN);
        mpfr_div(r22504, r22502, r22503, MPFR_RNDN);
        mpfr_sqr(r22505, r22504, MPFR_RNDN);
        mpfr_set_d(r22506, kx, MPFR_RNDN);
        mpfr_sin(r22507, r22506, MPFR_RNDN);
        mpfr_sqr(r22508, r22507, MPFR_RNDN);
        mpfr_set_d(r22509, ky, MPFR_RNDN);
        mpfr_sin(r22510, r22509, MPFR_RNDN);
        mpfr_sqr(r22511, r22510, MPFR_RNDN);
        mpfr_add(r22512, r22508, r22511, MPFR_RNDN);
        mpfr_mul(r22513, r22505, r22512, MPFR_RNDN);
        mpfr_add(r22514, r22498, r22513, MPFR_RNDN);
        mpfr_sqrt(r22515, r22514, MPFR_RNDN);
        mpfr_ui_div(r22516, 1, r22515, MPFR_RNDN);
        mpfr_exp(r22517, r22516, MPFR_RNDN);
        mpfr_log(r22518, r22517, MPFR_RNDN);
        mpfr_add(r22519, r22498, r22518, MPFR_RNDN);
        mpfr_mul(r22520, r22500, r22519, MPFR_RNDN);
        mpfr_sqrt(r22521, r22520, MPFR_RNDN);
        return mpfr_get_d(r22521, MPFR_RNDN);
}

static mpfr_t r22522, r22523, r22524, r22525, r22526, r22527, r22528, r22529, r22530, r22531, r22532, r22533, r22534, r22535, r22536, r22537, r22538, r22539, r22540, r22541, r22542, r22543, r22544, r22545;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r22522, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22523, "2", 10, MPFR_RNDN);
        mpfr_init(r22524);
        mpfr_init(r22525);
        mpfr_init(r22526);
        mpfr_init(r22527);
        mpfr_init(r22528);
        mpfr_init(r22529);
        mpfr_init(r22530);
        mpfr_init(r22531);
        mpfr_init(r22532);
        mpfr_init(r22533);
        mpfr_init(r22534);
        mpfr_init(r22535);
        mpfr_init(r22536);
        mpfr_init(r22537);
        mpfr_init(r22538);
        mpfr_init(r22539);
        mpfr_init(r22540);
        mpfr_init(r22541);
        mpfr_init(r22542);
        mpfr_init(r22543);
        mpfr_init(r22544);
        mpfr_init(r22545);
}

double f_dm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r22524, r22522, r22523, MPFR_RNDN);
        mpfr_set_d(r22525, l, MPFR_RNDN);
        mpfr_mul(r22526, r22523, r22525, MPFR_RNDN);
        mpfr_set_d(r22527, Om, MPFR_RNDN);
        mpfr_div(r22528, r22526, r22527, MPFR_RNDN);
        mpfr_sqr(r22529, r22528, MPFR_RNDN);
        mpfr_set_d(r22530, kx, MPFR_RNDN);
        mpfr_sin(r22531, r22530, MPFR_RNDN);
        mpfr_sqr(r22532, r22531, MPFR_RNDN);
        mpfr_set_d(r22533, ky, MPFR_RNDN);
        mpfr_sin(r22534, r22533, MPFR_RNDN);
        mpfr_sqr(r22535, r22534, MPFR_RNDN);
        mpfr_add(r22536, r22532, r22535, MPFR_RNDN);
        mpfr_mul(r22537, r22529, r22536, MPFR_RNDN);
        mpfr_add(r22538, r22522, r22537, MPFR_RNDN);
        mpfr_sqrt(r22539, r22538, MPFR_RNDN);
        mpfr_ui_div(r22540, 1, r22539, MPFR_RNDN);
        mpfr_exp(r22541, r22540, MPFR_RNDN);
        mpfr_log(r22542, r22541, MPFR_RNDN);
        mpfr_add(r22543, r22522, r22542, MPFR_RNDN);
        mpfr_mul(r22544, r22524, r22543, MPFR_RNDN);
        mpfr_sqrt(r22545, r22544, MPFR_RNDN);
        return mpfr_get_d(r22545, MPFR_RNDN);
}