#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Toniolo and Linder, Equation (3b), real";

double f_if(float kx, float ky, float th) {
        float r22381 = ky;
        float r22382 = sin(r22381);
        float r22383 = kx;
        float r22384 = sin(r22383);
        float r22385 = 2;
        float r22386 = pow(r22384, r22385);
        float r22387 = pow(r22382, r22385);
        float r22388 = r22386 + r22387;
        float r22389 = sqrt(r22388);
        float r22390 = r22382 / r22389;
        float r22391 = th;
        float r22392 = sin(r22391);
        float r22393 = r22390 * r22392;
        return r22393;
}

double f_id(double kx, double ky, double th) {
        double r22394 = ky;
        double r22395 = sin(r22394);
        double r22396 = kx;
        double r22397 = sin(r22396);
        double r22398 = 2;
        double r22399 = pow(r22397, r22398);
        double r22400 = pow(r22395, r22398);
        double r22401 = r22399 + r22400;
        double r22402 = sqrt(r22401);
        double r22403 = r22395 / r22402;
        double r22404 = th;
        double r22405 = sin(r22404);
        double r22406 = r22403 * r22405;
        return r22406;
}


double f_of(float kx, float ky, float th) {
        float r22407 = th;
        float r22408 = sin(r22407);
        float r22409 = ky;
        float r22410 = sin(r22409);
        float r22411 = kx;
        float r22412 = sin(r22411);
        float r22413 = hypot(r22410, r22412);
        float r22414 = r22410 / r22413;
        float r22415 = r22408 * r22414;
        return r22415;
}

double f_od(double kx, double ky, double th) {
        double r22416 = th;
        double r22417 = sin(r22416);
        double r22418 = ky;
        double r22419 = sin(r22418);
        double r22420 = kx;
        double r22421 = sin(r22420);
        double r22422 = hypot(r22419, r22421);
        double r22423 = r22419 / r22422;
        double r22424 = r22417 * r22423;
        return r22424;
}

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 r22425, r22426, r22427, r22428, r22429, r22430, r22431, r22432, r22433, r22434, r22435, r22436, r22437;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r22425);
        mpfr_init(r22426);
        mpfr_init(r22427);
        mpfr_init(r22428);
        mpfr_init_set_str(r22429, "2", 10, MPFR_RNDN);
        mpfr_init(r22430);
        mpfr_init(r22431);
        mpfr_init(r22432);
        mpfr_init(r22433);
        mpfr_init(r22434);
        mpfr_init(r22435);
        mpfr_init(r22436);
        mpfr_init(r22437);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r22425, ky, MPFR_RNDN);
        mpfr_sin(r22426, r22425, MPFR_RNDN);
        mpfr_set_d(r22427, kx, MPFR_RNDN);
        mpfr_sin(r22428, r22427, MPFR_RNDN);
        ;
        mpfr_pow(r22430, r22428, r22429, MPFR_RNDN);
        mpfr_pow(r22431, r22426, r22429, MPFR_RNDN);
        mpfr_add(r22432, r22430, r22431, MPFR_RNDN);
        mpfr_sqrt(r22433, r22432, MPFR_RNDN);
        mpfr_div(r22434, r22426, r22433, MPFR_RNDN);
        mpfr_set_d(r22435, th, MPFR_RNDN);
        mpfr_sin(r22436, r22435, MPFR_RNDN);
        mpfr_mul(r22437, r22434, r22436, MPFR_RNDN);
        return mpfr_get_d(r22437, MPFR_RNDN);
}

static mpfr_t r22438, r22439, r22440, r22441, r22442, r22443, r22444, r22445, r22446;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22438);
        mpfr_init(r22439);
        mpfr_init(r22440);
        mpfr_init(r22441);
        mpfr_init(r22442);
        mpfr_init(r22443);
        mpfr_init(r22444);
        mpfr_init(r22445);
        mpfr_init(r22446);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r22438, th, MPFR_RNDN);
        mpfr_sin(r22439, r22438, MPFR_RNDN);
        mpfr_set_d(r22440, ky, MPFR_RNDN);
        mpfr_sin(r22441, r22440, MPFR_RNDN);
        mpfr_set_d(r22442, kx, MPFR_RNDN);
        mpfr_sin(r22443, r22442, MPFR_RNDN);
        mpfr_hypot(r22444, r22441, r22443, MPFR_RNDN);
        mpfr_div(r22445, r22441, r22444, MPFR_RNDN);
        mpfr_mul(r22446, r22439, r22445, MPFR_RNDN);
        return mpfr_get_d(r22446, MPFR_RNDN);
}

static mpfr_t r22447, r22448, r22449, r22450, r22451, r22452, r22453, r22454, r22455;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22447);
        mpfr_init(r22448);
        mpfr_init(r22449);
        mpfr_init(r22450);
        mpfr_init(r22451);
        mpfr_init(r22452);
        mpfr_init(r22453);
        mpfr_init(r22454);
        mpfr_init(r22455);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r22447, th, MPFR_RNDN);
        mpfr_sin(r22448, r22447, MPFR_RNDN);
        mpfr_set_d(r22449, ky, MPFR_RNDN);
        mpfr_sin(r22450, r22449, MPFR_RNDN);
        mpfr_set_d(r22451, kx, MPFR_RNDN);
        mpfr_sin(r22452, r22451, MPFR_RNDN);
        mpfr_hypot(r22453, r22450, r22452, MPFR_RNDN);
        mpfr_div(r22454, r22450, r22453, MPFR_RNDN);
        mpfr_mul(r22455, r22448, r22454, MPFR_RNDN);
        return mpfr_get_d(r22455, MPFR_RNDN);
}