#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 r21255 = ky;
        float r21256 = sin(r21255);
        float r21257 = kx;
        float r21258 = sin(r21257);
        float r21259 = 2;
        float r21260 = pow(r21258, r21259);
        float r21261 = pow(r21256, r21259);
        float r21262 = r21260 + r21261;
        float r21263 = sqrt(r21262);
        float r21264 = r21256 / r21263;
        float r21265 = th;
        float r21266 = sin(r21265);
        float r21267 = r21264 * r21266;
        return r21267;
}

double f_id(double kx, double ky, double th) {
        double r21268 = ky;
        double r21269 = sin(r21268);
        double r21270 = kx;
        double r21271 = sin(r21270);
        double r21272 = 2;
        double r21273 = pow(r21271, r21272);
        double r21274 = pow(r21269, r21272);
        double r21275 = r21273 + r21274;
        double r21276 = sqrt(r21275);
        double r21277 = r21269 / r21276;
        double r21278 = th;
        double r21279 = sin(r21278);
        double r21280 = r21277 * r21279;
        return r21280;
}


double f_of(float kx, float ky, float th) {
        float r21281 = th;
        float r21282 = sin(r21281);
        float r21283 = ky;
        float r21284 = sin(r21283);
        float r21285 = kx;
        float r21286 = sin(r21285);
        float r21287 = hypot(r21284, r21286);
        float r21288 = r21287 / r21284;
        float r21289 = r21282 / r21288;
        return r21289;
}

double f_od(double kx, double ky, double th) {
        double r21290 = th;
        double r21291 = sin(r21290);
        double r21292 = ky;
        double r21293 = sin(r21292);
        double r21294 = kx;
        double r21295 = sin(r21294);
        double r21296 = hypot(r21293, r21295);
        double r21297 = r21296 / r21293;
        double r21298 = r21291 / r21297;
        return r21298;
}

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 r21299, r21300, r21301, r21302, r21303, r21304, r21305, r21306, r21307, r21308, r21309, r21310, r21311;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r21299);
        mpfr_init(r21300);
        mpfr_init(r21301);
        mpfr_init(r21302);
        mpfr_init_set_str(r21303, "2", 10, MPFR_RNDN);
        mpfr_init(r21304);
        mpfr_init(r21305);
        mpfr_init(r21306);
        mpfr_init(r21307);
        mpfr_init(r21308);
        mpfr_init(r21309);
        mpfr_init(r21310);
        mpfr_init(r21311);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r21299, ky, MPFR_RNDN);
        mpfr_sin(r21300, r21299, MPFR_RNDN);
        mpfr_set_d(r21301, kx, MPFR_RNDN);
        mpfr_sin(r21302, r21301, MPFR_RNDN);
        ;
        mpfr_pow(r21304, r21302, r21303, MPFR_RNDN);
        mpfr_pow(r21305, r21300, r21303, MPFR_RNDN);
        mpfr_add(r21306, r21304, r21305, MPFR_RNDN);
        mpfr_sqrt(r21307, r21306, MPFR_RNDN);
        mpfr_div(r21308, r21300, r21307, MPFR_RNDN);
        mpfr_set_d(r21309, th, MPFR_RNDN);
        mpfr_sin(r21310, r21309, MPFR_RNDN);
        mpfr_mul(r21311, r21308, r21310, MPFR_RNDN);
        return mpfr_get_d(r21311, MPFR_RNDN);
}

static mpfr_t r21312, r21313, r21314, r21315, r21316, r21317, r21318, r21319, r21320;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21312);
        mpfr_init(r21313);
        mpfr_init(r21314);
        mpfr_init(r21315);
        mpfr_init(r21316);
        mpfr_init(r21317);
        mpfr_init(r21318);
        mpfr_init(r21319);
        mpfr_init(r21320);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r21312, th, MPFR_RNDN);
        mpfr_sin(r21313, r21312, MPFR_RNDN);
        mpfr_set_d(r21314, ky, MPFR_RNDN);
        mpfr_sin(r21315, r21314, MPFR_RNDN);
        mpfr_set_d(r21316, kx, MPFR_RNDN);
        mpfr_sin(r21317, r21316, MPFR_RNDN);
        mpfr_hypot(r21318, r21315, r21317, MPFR_RNDN);
        mpfr_div(r21319, r21318, r21315, MPFR_RNDN);
        mpfr_div(r21320, r21313, r21319, MPFR_RNDN);
        return mpfr_get_d(r21320, MPFR_RNDN);
}

static mpfr_t r21321, r21322, r21323, r21324, r21325, r21326, r21327, r21328, r21329;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21321);
        mpfr_init(r21322);
        mpfr_init(r21323);
        mpfr_init(r21324);
        mpfr_init(r21325);
        mpfr_init(r21326);
        mpfr_init(r21327);
        mpfr_init(r21328);
        mpfr_init(r21329);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r21321, th, MPFR_RNDN);
        mpfr_sin(r21322, r21321, MPFR_RNDN);
        mpfr_set_d(r21323, ky, MPFR_RNDN);
        mpfr_sin(r21324, r21323, MPFR_RNDN);
        mpfr_set_d(r21325, kx, MPFR_RNDN);
        mpfr_sin(r21326, r21325, MPFR_RNDN);
        mpfr_hypot(r21327, r21324, r21326, MPFR_RNDN);
        mpfr_div(r21328, r21327, r21324, MPFR_RNDN);
        mpfr_div(r21329, r21322, r21328, MPFR_RNDN);
        return mpfr_get_d(r21329, MPFR_RNDN);
}