#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 r8431 = 1;
        float r8432 = 2;
        float r8433 = r8431 / r8432;
        float r8434 = l;
        float r8435 = r8432 * r8434;
        float r8436 = Om;
        float r8437 = r8435 / r8436;
        float r8438 = pow(r8437, r8432);
        float r8439 = kx;
        float r8440 = sin(r8439);
        float r8441 = pow(r8440, r8432);
        float r8442 = ky;
        float r8443 = sin(r8442);
        float r8444 = pow(r8443, r8432);
        float r8445 = r8441 + r8444;
        float r8446 = r8438 * r8445;
        float r8447 = r8431 + r8446;
        float r8448 = sqrt(r8447);
        float r8449 = r8431 / r8448;
        float r8450 = r8431 + r8449;
        float r8451 = r8433 * r8450;
        float r8452 = sqrt(r8451);
        return r8452;
}

double f_id(double l, double Om, double kx, double ky) {
        double r8453 = 1;
        double r8454 = 2;
        double r8455 = r8453 / r8454;
        double r8456 = l;
        double r8457 = r8454 * r8456;
        double r8458 = Om;
        double r8459 = r8457 / r8458;
        double r8460 = pow(r8459, r8454);
        double r8461 = kx;
        double r8462 = sin(r8461);
        double r8463 = pow(r8462, r8454);
        double r8464 = ky;
        double r8465 = sin(r8464);
        double r8466 = pow(r8465, r8454);
        double r8467 = r8463 + r8466;
        double r8468 = r8460 * r8467;
        double r8469 = r8453 + r8468;
        double r8470 = sqrt(r8469);
        double r8471 = r8453 / r8470;
        double r8472 = r8453 + r8471;
        double r8473 = r8455 * r8472;
        double r8474 = sqrt(r8473);
        return r8474;
}


double f_of(float l, float Om, float kx, float ky) {
        float r8475 = 1;
        float r8476 = 2;
        float r8477 = r8475 / r8476;
        float r8478 = ky;
        float r8479 = sin(r8478);
        float r8480 = kx;
        float r8481 = sin(r8480);
        float r8482 = hypot(r8479, r8481);
        float r8483 = Om;
        float r8484 = l;
        float r8485 = r8484 * r8476;
        float r8486 = r8483 / r8485;
        float r8487 = r8482 / r8486;
        float r8488 = hypot(r8475, r8487);
        float r8489 = expm1(r8488);
        float r8490 = log1p(r8489);
        float r8491 = r8475 / r8490;
        float r8492 = r8475 + r8491;
        float r8493 = r8477 * r8492;
        float r8494 = sqrt(r8493);
        return r8494;
}

double f_od(double l, double Om, double kx, double ky) {
        double r8495 = 1;
        double r8496 = 2;
        double r8497 = r8495 / r8496;
        double r8498 = ky;
        double r8499 = sin(r8498);
        double r8500 = kx;
        double r8501 = sin(r8500);
        double r8502 = hypot(r8499, r8501);
        double r8503 = Om;
        double r8504 = l;
        double r8505 = r8504 * r8496;
        double r8506 = r8503 / r8505;
        double r8507 = r8502 / r8506;
        double r8508 = hypot(r8495, r8507);
        double r8509 = expm1(r8508);
        double r8510 = log1p(r8509);
        double r8511 = r8495 / r8510;
        double r8512 = r8495 + r8511;
        double r8513 = r8497 * r8512;
        double r8514 = sqrt(r8513);
        return r8514;
}

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 r8515, r8516, r8517, r8518, r8519, r8520, r8521, r8522, r8523, r8524, r8525, r8526, r8527, r8528, r8529, r8530, r8531, r8532, r8533, r8534, r8535, r8536;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r8515, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r8516, "2", 10, MPFR_RNDN);
        mpfr_init(r8517);
        mpfr_init(r8518);
        mpfr_init(r8519);
        mpfr_init(r8520);
        mpfr_init(r8521);
        mpfr_init(r8522);
        mpfr_init(r8523);
        mpfr_init(r8524);
        mpfr_init(r8525);
        mpfr_init(r8526);
        mpfr_init(r8527);
        mpfr_init(r8528);
        mpfr_init(r8529);
        mpfr_init(r8530);
        mpfr_init(r8531);
        mpfr_init(r8532);
        mpfr_init(r8533);
        mpfr_init(r8534);
        mpfr_init(r8535);
        mpfr_init(r8536);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r8517, r8515, r8516, MPFR_RNDN);
        mpfr_set_d(r8518, l, MPFR_RNDN);
        mpfr_mul(r8519, r8516, r8518, MPFR_RNDN);
        mpfr_set_d(r8520, Om, MPFR_RNDN);
        mpfr_div(r8521, r8519, r8520, MPFR_RNDN);
        mpfr_pow(r8522, r8521, r8516, MPFR_RNDN);
        mpfr_set_d(r8523, kx, MPFR_RNDN);
        mpfr_sin(r8524, r8523, MPFR_RNDN);
        mpfr_pow(r8525, r8524, r8516, MPFR_RNDN);
        mpfr_set_d(r8526, ky, MPFR_RNDN);
        mpfr_sin(r8527, r8526, MPFR_RNDN);
        mpfr_pow(r8528, r8527, r8516, MPFR_RNDN);
        mpfr_add(r8529, r8525, r8528, MPFR_RNDN);
        mpfr_mul(r8530, r8522, r8529, MPFR_RNDN);
        mpfr_add(r8531, r8515, r8530, MPFR_RNDN);
        mpfr_sqrt(r8532, r8531, MPFR_RNDN);
        mpfr_div(r8533, r8515, r8532, MPFR_RNDN);
        mpfr_add(r8534, r8515, r8533, MPFR_RNDN);
        mpfr_mul(r8535, r8517, r8534, MPFR_RNDN);
        mpfr_sqrt(r8536, r8535, MPFR_RNDN);
        return mpfr_get_d(r8536, MPFR_RNDN);
}

static mpfr_t r8537, r8538, r8539, r8540, r8541, r8542, r8543, r8544, r8545, r8546, r8547, r8548, r8549, r8550, r8551, r8552, r8553, r8554, r8555, r8556;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r8537, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r8538, "2", 10, MPFR_RNDN);
        mpfr_init(r8539);
        mpfr_init(r8540);
        mpfr_init(r8541);
        mpfr_init(r8542);
        mpfr_init(r8543);
        mpfr_init(r8544);
        mpfr_init(r8545);
        mpfr_init(r8546);
        mpfr_init(r8547);
        mpfr_init(r8548);
        mpfr_init(r8549);
        mpfr_init(r8550);
        mpfr_init(r8551);
        mpfr_init(r8552);
        mpfr_init(r8553);
        mpfr_init(r8554);
        mpfr_init(r8555);
        mpfr_init(r8556);
}

double f_fm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r8539, r8537, r8538, MPFR_RNDN);
        mpfr_set_d(r8540, ky, MPFR_RNDN);
        mpfr_sin(r8541, r8540, MPFR_RNDN);
        mpfr_set_d(r8542, kx, MPFR_RNDN);
        mpfr_sin(r8543, r8542, MPFR_RNDN);
        mpfr_hypot(r8544, r8541, r8543, MPFR_RNDN);
        mpfr_set_d(r8545, Om, MPFR_RNDN);
        mpfr_set_d(r8546, l, MPFR_RNDN);
        mpfr_mul(r8547, r8546, r8538, MPFR_RNDN);
        mpfr_div(r8548, r8545, r8547, MPFR_RNDN);
        mpfr_div(r8549, r8544, r8548, MPFR_RNDN);
        mpfr_hypot(r8550, r8537, r8549, MPFR_RNDN);
        mpfr_expm1(r8551, r8550, MPFR_RNDN);
        mpfr_log1p(r8552, r8551, MPFR_RNDN);
        mpfr_div(r8553, r8537, r8552, MPFR_RNDN);
        mpfr_add(r8554, r8537, r8553, MPFR_RNDN);
        mpfr_mul(r8555, r8539, r8554, MPFR_RNDN);
        mpfr_sqrt(r8556, r8555, MPFR_RNDN);
        return mpfr_get_d(r8556, MPFR_RNDN);
}

static mpfr_t r8557, r8558, r8559, r8560, r8561, r8562, r8563, r8564, r8565, r8566, r8567, r8568, r8569, r8570, r8571, r8572, r8573, r8574, r8575, r8576;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r8557, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r8558, "2", 10, MPFR_RNDN);
        mpfr_init(r8559);
        mpfr_init(r8560);
        mpfr_init(r8561);
        mpfr_init(r8562);
        mpfr_init(r8563);
        mpfr_init(r8564);
        mpfr_init(r8565);
        mpfr_init(r8566);
        mpfr_init(r8567);
        mpfr_init(r8568);
        mpfr_init(r8569);
        mpfr_init(r8570);
        mpfr_init(r8571);
        mpfr_init(r8572);
        mpfr_init(r8573);
        mpfr_init(r8574);
        mpfr_init(r8575);
        mpfr_init(r8576);
}

double f_dm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r8559, r8557, r8558, MPFR_RNDN);
        mpfr_set_d(r8560, ky, MPFR_RNDN);
        mpfr_sin(r8561, r8560, MPFR_RNDN);
        mpfr_set_d(r8562, kx, MPFR_RNDN);
        mpfr_sin(r8563, r8562, MPFR_RNDN);
        mpfr_hypot(r8564, r8561, r8563, MPFR_RNDN);
        mpfr_set_d(r8565, Om, MPFR_RNDN);
        mpfr_set_d(r8566, l, MPFR_RNDN);
        mpfr_mul(r8567, r8566, r8558, MPFR_RNDN);
        mpfr_div(r8568, r8565, r8567, MPFR_RNDN);
        mpfr_div(r8569, r8564, r8568, MPFR_RNDN);
        mpfr_hypot(r8570, r8557, r8569, MPFR_RNDN);
        mpfr_expm1(r8571, r8570, MPFR_RNDN);
        mpfr_log1p(r8572, r8571, MPFR_RNDN);
        mpfr_div(r8573, r8557, r8572, MPFR_RNDN);
        mpfr_add(r8574, r8557, r8573, MPFR_RNDN);
        mpfr_mul(r8575, r8559, r8574, MPFR_RNDN);
        mpfr_sqrt(r8576, r8575, MPFR_RNDN);
        return mpfr_get_d(r8576, MPFR_RNDN);
}