#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 r21206 = 1;
        float r21207 = 2;
        float r21208 = r21206 / r21207;
        float r21209 = l;
        float r21210 = r21207 * r21209;
        float r21211 = Om;
        float r21212 = r21210 / r21211;
        float r21213 = pow(r21212, r21207);
        float r21214 = kx;
        float r21215 = sin(r21214);
        float r21216 = pow(r21215, r21207);
        float r21217 = ky;
        float r21218 = sin(r21217);
        float r21219 = pow(r21218, r21207);
        float r21220 = r21216 + r21219;
        float r21221 = r21213 * r21220;
        float r21222 = r21206 + r21221;
        float r21223 = sqrt(r21222);
        float r21224 = r21206 / r21223;
        float r21225 = r21206 + r21224;
        float r21226 = r21208 * r21225;
        float r21227 = sqrt(r21226);
        return r21227;
}

double f_id(double l, double Om, double kx, double ky) {
        double r21228 = 1;
        double r21229 = 2;
        double r21230 = r21228 / r21229;
        double r21231 = l;
        double r21232 = r21229 * r21231;
        double r21233 = Om;
        double r21234 = r21232 / r21233;
        double r21235 = pow(r21234, r21229);
        double r21236 = kx;
        double r21237 = sin(r21236);
        double r21238 = pow(r21237, r21229);
        double r21239 = ky;
        double r21240 = sin(r21239);
        double r21241 = pow(r21240, r21229);
        double r21242 = r21238 + r21241;
        double r21243 = r21235 * r21242;
        double r21244 = r21228 + r21243;
        double r21245 = sqrt(r21244);
        double r21246 = r21228 / r21245;
        double r21247 = r21228 + r21246;
        double r21248 = r21230 * r21247;
        double r21249 = sqrt(r21248);
        return r21249;
}


double f_of(float l, float Om, float kx, float ky) {
        float r21250 = 1;
        float r21251 = 2;
        float r21252 = r21250 / r21251;
        float r21253 = l;
        float r21254 = r21251 * r21253;
        float r21255 = Om;
        float r21256 = r21254 / r21255;
        float r21257 = kx;
        float r21258 = sin(r21257);
        float r21259 = pow(r21258, r21251);
        float r21260 = ky;
        float r21261 = sin(r21260);
        float r21262 = pow(r21261, r21251);
        float r21263 = r21259 + r21262;
        float r21264 = r21256 * r21263;
        float r21265 = r21256 * r21264;
        float r21266 = r21250 + r21265;
        float r21267 = sqrt(r21266);
        float r21268 = r21250 / r21267;
        float r21269 = r21250 + r21268;
        float r21270 = r21252 * r21269;
        float r21271 = sqrt(r21270);
        return r21271;
}

double f_od(double l, double Om, double kx, double ky) {
        double r21272 = 1;
        double r21273 = 2;
        double r21274 = r21272 / r21273;
        double r21275 = l;
        double r21276 = r21273 * r21275;
        double r21277 = Om;
        double r21278 = r21276 / r21277;
        double r21279 = kx;
        double r21280 = sin(r21279);
        double r21281 = pow(r21280, r21273);
        double r21282 = ky;
        double r21283 = sin(r21282);
        double r21284 = pow(r21283, r21273);
        double r21285 = r21281 + r21284;
        double r21286 = r21278 * r21285;
        double r21287 = r21278 * r21286;
        double r21288 = r21272 + r21287;
        double r21289 = sqrt(r21288);
        double r21290 = r21272 / r21289;
        double r21291 = r21272 + r21290;
        double r21292 = r21274 * r21291;
        double r21293 = sqrt(r21292);
        return r21293;
}

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 r21294, r21295, r21296, r21297, r21298, r21299, r21300, r21301, r21302, r21303, r21304, r21305, r21306, r21307, r21308, r21309, r21310, r21311, r21312, r21313, r21314, r21315;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21294, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21295, "2", 10, MPFR_RNDN);
        mpfr_init(r21296);
        mpfr_init(r21297);
        mpfr_init(r21298);
        mpfr_init(r21299);
        mpfr_init(r21300);
        mpfr_init(r21301);
        mpfr_init(r21302);
        mpfr_init(r21303);
        mpfr_init(r21304);
        mpfr_init(r21305);
        mpfr_init(r21306);
        mpfr_init(r21307);
        mpfr_init(r21308);
        mpfr_init(r21309);
        mpfr_init(r21310);
        mpfr_init(r21311);
        mpfr_init(r21312);
        mpfr_init(r21313);
        mpfr_init(r21314);
        mpfr_init(r21315);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r21296, r21294, r21295, MPFR_RNDN);
        mpfr_set_d(r21297, l, MPFR_RNDN);
        mpfr_mul(r21298, r21295, r21297, MPFR_RNDN);
        mpfr_set_d(r21299, Om, MPFR_RNDN);
        mpfr_div(r21300, r21298, r21299, MPFR_RNDN);
        mpfr_pow(r21301, r21300, r21295, MPFR_RNDN);
        mpfr_set_d(r21302, kx, MPFR_RNDN);
        mpfr_sin(r21303, r21302, MPFR_RNDN);
        mpfr_pow(r21304, r21303, r21295, MPFR_RNDN);
        mpfr_set_d(r21305, ky, MPFR_RNDN);
        mpfr_sin(r21306, r21305, MPFR_RNDN);
        mpfr_pow(r21307, r21306, r21295, MPFR_RNDN);
        mpfr_add(r21308, r21304, r21307, MPFR_RNDN);
        mpfr_mul(r21309, r21301, r21308, MPFR_RNDN);
        mpfr_add(r21310, r21294, r21309, MPFR_RNDN);
        mpfr_sqrt(r21311, r21310, MPFR_RNDN);
        mpfr_div(r21312, r21294, r21311, MPFR_RNDN);
        mpfr_add(r21313, r21294, r21312, MPFR_RNDN);
        mpfr_mul(r21314, r21296, r21313, MPFR_RNDN);
        mpfr_sqrt(r21315, r21314, MPFR_RNDN);
        return mpfr_get_d(r21315, MPFR_RNDN);
}

static mpfr_t r21316, r21317, r21318, r21319, r21320, r21321, r21322, r21323, r21324, r21325, r21326, r21327, r21328, r21329, r21330, r21331, r21332, r21333, r21334, r21335, r21336, r21337;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21316, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21317, "2", 10, MPFR_RNDN);
        mpfr_init(r21318);
        mpfr_init(r21319);
        mpfr_init(r21320);
        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);
        mpfr_init(r21330);
        mpfr_init(r21331);
        mpfr_init(r21332);
        mpfr_init(r21333);
        mpfr_init(r21334);
        mpfr_init(r21335);
        mpfr_init(r21336);
        mpfr_init(r21337);
}

double f_fm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r21318, r21316, r21317, MPFR_RNDN);
        mpfr_set_d(r21319, l, MPFR_RNDN);
        mpfr_mul(r21320, r21317, r21319, MPFR_RNDN);
        mpfr_set_d(r21321, Om, MPFR_RNDN);
        mpfr_div(r21322, r21320, r21321, MPFR_RNDN);
        mpfr_set_d(r21323, kx, MPFR_RNDN);
        mpfr_sin(r21324, r21323, MPFR_RNDN);
        mpfr_pow(r21325, r21324, r21317, MPFR_RNDN);
        mpfr_set_d(r21326, ky, MPFR_RNDN);
        mpfr_sin(r21327, r21326, MPFR_RNDN);
        mpfr_pow(r21328, r21327, r21317, MPFR_RNDN);
        mpfr_add(r21329, r21325, r21328, MPFR_RNDN);
        mpfr_mul(r21330, r21322, r21329, MPFR_RNDN);
        mpfr_mul(r21331, r21322, r21330, MPFR_RNDN);
        mpfr_add(r21332, r21316, r21331, MPFR_RNDN);
        mpfr_sqrt(r21333, r21332, MPFR_RNDN);
        mpfr_div(r21334, r21316, r21333, MPFR_RNDN);
        mpfr_add(r21335, r21316, r21334, MPFR_RNDN);
        mpfr_mul(r21336, r21318, r21335, MPFR_RNDN);
        mpfr_sqrt(r21337, r21336, MPFR_RNDN);
        return mpfr_get_d(r21337, MPFR_RNDN);
}

static mpfr_t r21338, r21339, r21340, r21341, r21342, r21343, r21344, r21345, r21346, r21347, r21348, r21349, r21350, r21351, r21352, r21353, r21354, r21355, r21356, r21357, r21358, r21359;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21338, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21339, "2", 10, MPFR_RNDN);
        mpfr_init(r21340);
        mpfr_init(r21341);
        mpfr_init(r21342);
        mpfr_init(r21343);
        mpfr_init(r21344);
        mpfr_init(r21345);
        mpfr_init(r21346);
        mpfr_init(r21347);
        mpfr_init(r21348);
        mpfr_init(r21349);
        mpfr_init(r21350);
        mpfr_init(r21351);
        mpfr_init(r21352);
        mpfr_init(r21353);
        mpfr_init(r21354);
        mpfr_init(r21355);
        mpfr_init(r21356);
        mpfr_init(r21357);
        mpfr_init(r21358);
        mpfr_init(r21359);
}

double f_dm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r21340, r21338, r21339, MPFR_RNDN);
        mpfr_set_d(r21341, l, MPFR_RNDN);
        mpfr_mul(r21342, r21339, r21341, MPFR_RNDN);
        mpfr_set_d(r21343, Om, MPFR_RNDN);
        mpfr_div(r21344, r21342, r21343, MPFR_RNDN);
        mpfr_set_d(r21345, kx, MPFR_RNDN);
        mpfr_sin(r21346, r21345, MPFR_RNDN);
        mpfr_pow(r21347, r21346, r21339, MPFR_RNDN);
        mpfr_set_d(r21348, ky, MPFR_RNDN);
        mpfr_sin(r21349, r21348, MPFR_RNDN);
        mpfr_pow(r21350, r21349, r21339, MPFR_RNDN);
        mpfr_add(r21351, r21347, r21350, MPFR_RNDN);
        mpfr_mul(r21352, r21344, r21351, MPFR_RNDN);
        mpfr_mul(r21353, r21344, r21352, MPFR_RNDN);
        mpfr_add(r21354, r21338, r21353, MPFR_RNDN);
        mpfr_sqrt(r21355, r21354, MPFR_RNDN);
        mpfr_div(r21356, r21338, r21355, MPFR_RNDN);
        mpfr_add(r21357, r21338, r21356, MPFR_RNDN);
        mpfr_mul(r21358, r21340, r21357, MPFR_RNDN);
        mpfr_sqrt(r21359, r21358, MPFR_RNDN);
        return mpfr_get_d(r21359, MPFR_RNDN);
}

