#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 r22357 = ky;
        float r22358 = sin(r22357);
        float r22359 = kx;
        float r22360 = sin(r22359);
        float r22361 = 2;
        float r22362 = pow(r22360, r22361);
        float r22363 = pow(r22358, r22361);
        float r22364 = r22362 + r22363;
        float r22365 = sqrt(r22364);
        float r22366 = r22358 / r22365;
        float r22367 = th;
        float r22368 = sin(r22367);
        float r22369 = r22366 * r22368;
        return r22369;
}

double f_id(double kx, double ky, double th) {
        double r22370 = ky;
        double r22371 = sin(r22370);
        double r22372 = kx;
        double r22373 = sin(r22372);
        double r22374 = 2;
        double r22375 = pow(r22373, r22374);
        double r22376 = pow(r22371, r22374);
        double r22377 = r22375 + r22376;
        double r22378 = sqrt(r22377);
        double r22379 = r22371 / r22378;
        double r22380 = th;
        double r22381 = sin(r22380);
        double r22382 = r22379 * r22381;
        return r22382;
}


double f_of(float kx, float ky, float th) {
        float r22383 = th;
        float r22384 = sin(r22383);
        float r22385 = ky;
        float r22386 = sin(r22385);
        float r22387 = kx;
        float r22388 = sin(r22387);
        float r22389 = hypot(r22386, r22388);
        float r22390 = r22389 / r22386;
        float r22391 = r22384 / r22390;
        return r22391;
}

double f_od(double kx, double ky, double th) {
        double r22392 = th;
        double r22393 = sin(r22392);
        double r22394 = ky;
        double r22395 = sin(r22394);
        double r22396 = kx;
        double r22397 = sin(r22396);
        double r22398 = hypot(r22395, r22397);
        double r22399 = r22398 / r22395;
        double r22400 = r22393 / r22399;
        return r22400;
}

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 r22401, r22402, r22403, r22404, r22405, r22406, r22407, r22408, r22409, r22410, r22411, r22412, r22413;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r22401);
        mpfr_init(r22402);
        mpfr_init(r22403);
        mpfr_init(r22404);
        mpfr_init_set_str(r22405, "2", 10, MPFR_RNDN);
        mpfr_init(r22406);
        mpfr_init(r22407);
        mpfr_init(r22408);
        mpfr_init(r22409);
        mpfr_init(r22410);
        mpfr_init(r22411);
        mpfr_init(r22412);
        mpfr_init(r22413);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r22401, ky, MPFR_RNDN);
        mpfr_sin(r22402, r22401, MPFR_RNDN);
        mpfr_set_d(r22403, kx, MPFR_RNDN);
        mpfr_sin(r22404, r22403, MPFR_RNDN);
        ;
        mpfr_pow(r22406, r22404, r22405, MPFR_RNDN);
        mpfr_pow(r22407, r22402, r22405, MPFR_RNDN);
        mpfr_add(r22408, r22406, r22407, MPFR_RNDN);
        mpfr_sqrt(r22409, r22408, MPFR_RNDN);
        mpfr_div(r22410, r22402, r22409, MPFR_RNDN);
        mpfr_set_d(r22411, th, MPFR_RNDN);
        mpfr_sin(r22412, r22411, MPFR_RNDN);
        mpfr_mul(r22413, r22410, r22412, MPFR_RNDN);
        return mpfr_get_d(r22413, MPFR_RNDN);
}

static mpfr_t r22414, r22415, r22416, r22417, r22418, r22419, r22420, r22421, r22422;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22414);
        mpfr_init(r22415);
        mpfr_init(r22416);
        mpfr_init(r22417);
        mpfr_init(r22418);
        mpfr_init(r22419);
        mpfr_init(r22420);
        mpfr_init(r22421);
        mpfr_init(r22422);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r22414, th, MPFR_RNDN);
        mpfr_sin(r22415, r22414, MPFR_RNDN);
        mpfr_set_d(r22416, ky, MPFR_RNDN);
        mpfr_sin(r22417, r22416, MPFR_RNDN);
        mpfr_set_d(r22418, kx, MPFR_RNDN);
        mpfr_sin(r22419, r22418, MPFR_RNDN);
        mpfr_hypot(r22420, r22417, r22419, MPFR_RNDN);
        mpfr_div(r22421, r22420, r22417, MPFR_RNDN);
        mpfr_div(r22422, r22415, r22421, MPFR_RNDN);
        return mpfr_get_d(r22422, MPFR_RNDN);
}

static mpfr_t r22423, r22424, r22425, r22426, r22427, r22428, r22429, r22430, r22431;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22423);
        mpfr_init(r22424);
        mpfr_init(r22425);
        mpfr_init(r22426);
        mpfr_init(r22427);
        mpfr_init(r22428);
        mpfr_init(r22429);
        mpfr_init(r22430);
        mpfr_init(r22431);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r22423, th, MPFR_RNDN);
        mpfr_sin(r22424, r22423, MPFR_RNDN);
        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_hypot(r22429, r22426, r22428, MPFR_RNDN);
        mpfr_div(r22430, r22429, r22426, MPFR_RNDN);
        mpfr_div(r22431, r22424, r22430, MPFR_RNDN);
        return mpfr_get_d(r22431, MPFR_RNDN);
}