#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 r24205 = 1;
        float r24206 = 2;
        float r24207 = r24205 / r24206;
        float r24208 = l;
        float r24209 = r24206 * r24208;
        float r24210 = Om;
        float r24211 = r24209 / r24210;
        float r24212 = pow(r24211, r24206);
        float r24213 = kx;
        float r24214 = sin(r24213);
        float r24215 = pow(r24214, r24206);
        float r24216 = ky;
        float r24217 = sin(r24216);
        float r24218 = pow(r24217, r24206);
        float r24219 = r24215 + r24218;
        float r24220 = r24212 * r24219;
        float r24221 = r24205 + r24220;
        float r24222 = sqrt(r24221);
        float r24223 = r24205 / r24222;
        float r24224 = r24205 + r24223;
        float r24225 = r24207 * r24224;
        float r24226 = sqrt(r24225);
        return r24226;
}

double f_id(double l, double Om, double kx, double ky) {
        double r24227 = 1;
        double r24228 = 2;
        double r24229 = r24227 / r24228;
        double r24230 = l;
        double r24231 = r24228 * r24230;
        double r24232 = Om;
        double r24233 = r24231 / r24232;
        double r24234 = pow(r24233, r24228);
        double r24235 = kx;
        double r24236 = sin(r24235);
        double r24237 = pow(r24236, r24228);
        double r24238 = ky;
        double r24239 = sin(r24238);
        double r24240 = pow(r24239, r24228);
        double r24241 = r24237 + r24240;
        double r24242 = r24234 * r24241;
        double r24243 = r24227 + r24242;
        double r24244 = sqrt(r24243);
        double r24245 = r24227 / r24244;
        double r24246 = r24227 + r24245;
        double r24247 = r24229 * r24246;
        double r24248 = sqrt(r24247);
        return r24248;
}


double f_of(float l, float Om, float kx, float ky) {
        float r24249 = ky;
        float r24250 = -1.0941952882186937e-120;
        bool r24251 = r24249 <= r24250;
        float r24252 = 1;
        float r24253 = 2;
        float r24254 = r24252 / r24253;
        float r24255 = l;
        float r24256 = r24253 * r24255;
        float r24257 = Om;
        float r24258 = r24256 / r24257;
        float r24259 = pow(r24258, r24253);
        float r24260 = kx;
        float r24261 = sin(r24260);
        float r24262 = pow(r24261, r24253);
        float r24263 = sin(r24249);
        float r24264 = pow(r24263, r24253);
        float r24265 = r24262 + r24264;
        float r24266 = r24259 * r24265;
        float r24267 = r24252 + r24266;
        float r24268 = sqrt(r24267);
        float r24269 = r24252 / r24268;
        float r24270 = r24252 + r24269;
        float r24271 = r24254 * r24270;
        float r24272 = sqrt(r24271);
        float r24273 = 3.9231890588882945e-226;
        bool r24274 = r24249 <= r24273;
        float r24275 = r24252 / r24249;
        float r24276 = sin(r24275);
        float r24277 = pow(r24276, r24253);
        float r24278 = r24262 + r24277;
        float r24279 = r24259 * r24278;
        float r24280 = r24252 + r24279;
        float r24281 = sqrt(r24280);
        float r24282 = r24252 / r24281;
        float r24283 = r24252 + r24282;
        float r24284 = r24254 * r24283;
        float r24285 = sqrt(r24284);
        float r24286 = r24274 ? r24285 : r24272;
        float r24287 = r24251 ? r24272 : r24286;
        return r24287;
}

double f_od(double l, double Om, double kx, double ky) {
        double r24288 = ky;
        double r24289 = -1.0941952882186937e-120;
        bool r24290 = r24288 <= r24289;
        double r24291 = 1;
        double r24292 = 2;
        double r24293 = r24291 / r24292;
        double r24294 = l;
        double r24295 = r24292 * r24294;
        double r24296 = Om;
        double r24297 = r24295 / r24296;
        double r24298 = pow(r24297, r24292);
        double r24299 = kx;
        double r24300 = sin(r24299);
        double r24301 = pow(r24300, r24292);
        double r24302 = sin(r24288);
        double r24303 = pow(r24302, r24292);
        double r24304 = r24301 + r24303;
        double r24305 = r24298 * r24304;
        double r24306 = r24291 + r24305;
        double r24307 = sqrt(r24306);
        double r24308 = r24291 / r24307;
        double r24309 = r24291 + r24308;
        double r24310 = r24293 * r24309;
        double r24311 = sqrt(r24310);
        double r24312 = 3.9231890588882945e-226;
        bool r24313 = r24288 <= r24312;
        double r24314 = r24291 / r24288;
        double r24315 = sin(r24314);
        double r24316 = pow(r24315, r24292);
        double r24317 = r24301 + r24316;
        double r24318 = r24298 * r24317;
        double r24319 = r24291 + r24318;
        double r24320 = sqrt(r24319);
        double r24321 = r24291 / r24320;
        double r24322 = r24291 + r24321;
        double r24323 = r24293 * r24322;
        double r24324 = sqrt(r24323);
        double r24325 = r24313 ? r24324 : r24311;
        double r24326 = r24290 ? r24311 : r24325;
        return r24326;
}

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 r24327, r24328, r24329, r24330, r24331, r24332, r24333, r24334, r24335, r24336, r24337, r24338, r24339, r24340, r24341, r24342, r24343, r24344, r24345, r24346, r24347, r24348;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r24327, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r24328, "2", 10, MPFR_RNDN);
        mpfr_init(r24329);
        mpfr_init(r24330);
        mpfr_init(r24331);
        mpfr_init(r24332);
        mpfr_init(r24333);
        mpfr_init(r24334);
        mpfr_init(r24335);
        mpfr_init(r24336);
        mpfr_init(r24337);
        mpfr_init(r24338);
        mpfr_init(r24339);
        mpfr_init(r24340);
        mpfr_init(r24341);
        mpfr_init(r24342);
        mpfr_init(r24343);
        mpfr_init(r24344);
        mpfr_init(r24345);
        mpfr_init(r24346);
        mpfr_init(r24347);
        mpfr_init(r24348);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r24329, r24327, r24328, MPFR_RNDN);
        mpfr_set_d(r24330, l, MPFR_RNDN);
        mpfr_mul(r24331, r24328, r24330, MPFR_RNDN);
        mpfr_set_d(r24332, Om, MPFR_RNDN);
        mpfr_div(r24333, r24331, r24332, MPFR_RNDN);
        mpfr_pow(r24334, r24333, r24328, MPFR_RNDN);
        mpfr_set_d(r24335, kx, MPFR_RNDN);
        mpfr_sin(r24336, r24335, MPFR_RNDN);
        mpfr_pow(r24337, r24336, r24328, MPFR_RNDN);
        mpfr_set_d(r24338, ky, MPFR_RNDN);
        mpfr_sin(r24339, r24338, MPFR_RNDN);
        mpfr_pow(r24340, r24339, r24328, MPFR_RNDN);
        mpfr_add(r24341, r24337, r24340, MPFR_RNDN);
        mpfr_mul(r24342, r24334, r24341, MPFR_RNDN);
        mpfr_add(r24343, r24327, r24342, MPFR_RNDN);
        mpfr_sqrt(r24344, r24343, MPFR_RNDN);
        mpfr_div(r24345, r24327, r24344, MPFR_RNDN);
        mpfr_add(r24346, r24327, r24345, MPFR_RNDN);
        mpfr_mul(r24347, r24329, r24346, MPFR_RNDN);
        mpfr_sqrt(r24348, r24347, MPFR_RNDN);
        return mpfr_get_d(r24348, MPFR_RNDN);
}

static mpfr_t r24349, r24350, r24351, r24352, r24353, r24354, r24355, r24356, r24357, r24358, r24359, r24360, r24361, r24362, r24363, r24364, r24365, r24366, r24367, r24368, r24369, r24370, r24371, r24372, r24373, r24374, r24375, r24376, r24377, r24378, r24379, r24380, r24381, r24382, r24383, r24384, r24385, r24386, r24387;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r24349);
        mpfr_init_set_str(r24350, "-1.0941952882186937e-120", 10, MPFR_RNDN);
        mpfr_init(r24351);
        mpfr_init_set_str(r24352, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r24353, "2", 10, MPFR_RNDN);
        mpfr_init(r24354);
        mpfr_init(r24355);
        mpfr_init(r24356);
        mpfr_init(r24357);
        mpfr_init(r24358);
        mpfr_init(r24359);
        mpfr_init(r24360);
        mpfr_init(r24361);
        mpfr_init(r24362);
        mpfr_init(r24363);
        mpfr_init(r24364);
        mpfr_init(r24365);
        mpfr_init(r24366);
        mpfr_init(r24367);
        mpfr_init(r24368);
        mpfr_init(r24369);
        mpfr_init(r24370);
        mpfr_init(r24371);
        mpfr_init(r24372);
        mpfr_init_set_str(r24373, "3.9231890588882945e-226", 10, MPFR_RNDN);
        mpfr_init(r24374);
        mpfr_init(r24375);
        mpfr_init(r24376);
        mpfr_init(r24377);
        mpfr_init(r24378);
        mpfr_init(r24379);
        mpfr_init(r24380);
        mpfr_init(r24381);
        mpfr_init(r24382);
        mpfr_init(r24383);
        mpfr_init(r24384);
        mpfr_init(r24385);
        mpfr_init(r24386);
        mpfr_init(r24387);
}

double f_fm(double l, double Om, double kx, double ky) {
        mpfr_set_d(r24349, ky, MPFR_RNDN);
        ;
        mpfr_set_si(r24351, mpfr_cmp(r24349, r24350) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_div(r24354, r24352, r24353, MPFR_RNDN);
        mpfr_set_d(r24355, l, MPFR_RNDN);
        mpfr_mul(r24356, r24353, r24355, MPFR_RNDN);
        mpfr_set_d(r24357, Om, MPFR_RNDN);
        mpfr_div(r24358, r24356, r24357, MPFR_RNDN);
        mpfr_pow(r24359, r24358, r24353, MPFR_RNDN);
        mpfr_set_d(r24360, kx, MPFR_RNDN);
        mpfr_sin(r24361, r24360, MPFR_RNDN);
        mpfr_pow(r24362, r24361, r24353, MPFR_RNDN);
        mpfr_sin(r24363, r24349, MPFR_RNDN);
        mpfr_pow(r24364, r24363, r24353, MPFR_RNDN);
        mpfr_add(r24365, r24362, r24364, MPFR_RNDN);
        mpfr_mul(r24366, r24359, r24365, MPFR_RNDN);
        mpfr_add(r24367, r24352, r24366, MPFR_RNDN);
        mpfr_sqrt(r24368, r24367, MPFR_RNDN);
        mpfr_div(r24369, r24352, r24368, MPFR_RNDN);
        mpfr_add(r24370, r24352, r24369, MPFR_RNDN);
        mpfr_mul(r24371, r24354, r24370, MPFR_RNDN);
        mpfr_sqrt(r24372, r24371, MPFR_RNDN);
        ;
        mpfr_set_si(r24374, mpfr_cmp(r24349, r24373) <= 0, MPFR_RNDN);
        mpfr_div(r24375, r24352, r24349, MPFR_RNDN);
        mpfr_sin(r24376, r24375, MPFR_RNDN);
        mpfr_pow(r24377, r24376, r24353, MPFR_RNDN);
        mpfr_add(r24378, r24362, r24377, MPFR_RNDN);
        mpfr_mul(r24379, r24359, r24378, MPFR_RNDN);
        mpfr_add(r24380, r24352, r24379, MPFR_RNDN);
        mpfr_sqrt(r24381, r24380, MPFR_RNDN);
        mpfr_div(r24382, r24352, r24381, MPFR_RNDN);
        mpfr_add(r24383, r24352, r24382, MPFR_RNDN);
        mpfr_mul(r24384, r24354, r24383, MPFR_RNDN);
        mpfr_sqrt(r24385, r24384, MPFR_RNDN);
        if (mpfr_get_si(r24374, MPFR_RNDN)) { mpfr_set(r24386, r24385, MPFR_RNDN); } else { mpfr_set(r24386, r24372, MPFR_RNDN); };
        if (mpfr_get_si(r24351, MPFR_RNDN)) { mpfr_set(r24387, r24372, MPFR_RNDN); } else { mpfr_set(r24387, r24386, MPFR_RNDN); };
        return mpfr_get_d(r24387, MPFR_RNDN);
}

static mpfr_t r24388, r24389, r24390, r24391, r24392, r24393, r24394, r24395, r24396, r24397, r24398, r24399, r24400, r24401, r24402, r24403, r24404, r24405, r24406, r24407, r24408, r24409, r24410, r24411, r24412, r24413, r24414, r24415, r24416, r24417, r24418, r24419, r24420, r24421, r24422, r24423, r24424, r24425, r24426;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r24388);
        mpfr_init_set_str(r24389, "-1.0941952882186937e-120", 10, MPFR_RNDN);
        mpfr_init(r24390);
        mpfr_init_set_str(r24391, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r24392, "2", 10, MPFR_RNDN);
        mpfr_init(r24393);
        mpfr_init(r24394);
        mpfr_init(r24395);
        mpfr_init(r24396);
        mpfr_init(r24397);
        mpfr_init(r24398);
        mpfr_init(r24399);
        mpfr_init(r24400);
        mpfr_init(r24401);
        mpfr_init(r24402);
        mpfr_init(r24403);
        mpfr_init(r24404);
        mpfr_init(r24405);
        mpfr_init(r24406);
        mpfr_init(r24407);
        mpfr_init(r24408);
        mpfr_init(r24409);
        mpfr_init(r24410);
        mpfr_init(r24411);
        mpfr_init_set_str(r24412, "3.9231890588882945e-226", 10, MPFR_RNDN);
        mpfr_init(r24413);
        mpfr_init(r24414);
        mpfr_init(r24415);
        mpfr_init(r24416);
        mpfr_init(r24417);
        mpfr_init(r24418);
        mpfr_init(r24419);
        mpfr_init(r24420);
        mpfr_init(r24421);
        mpfr_init(r24422);
        mpfr_init(r24423);
        mpfr_init(r24424);
        mpfr_init(r24425);
        mpfr_init(r24426);
}

double f_dm(double l, double Om, double kx, double ky) {
        mpfr_set_d(r24388, ky, MPFR_RNDN);
        ;
        mpfr_set_si(r24390, mpfr_cmp(r24388, r24389) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_div(r24393, r24391, r24392, MPFR_RNDN);
        mpfr_set_d(r24394, l, MPFR_RNDN);
        mpfr_mul(r24395, r24392, r24394, MPFR_RNDN);
        mpfr_set_d(r24396, Om, MPFR_RNDN);
        mpfr_div(r24397, r24395, r24396, MPFR_RNDN);
        mpfr_pow(r24398, r24397, r24392, MPFR_RNDN);
        mpfr_set_d(r24399, kx, MPFR_RNDN);
        mpfr_sin(r24400, r24399, MPFR_RNDN);
        mpfr_pow(r24401, r24400, r24392, MPFR_RNDN);
        mpfr_sin(r24402, r24388, MPFR_RNDN);
        mpfr_pow(r24403, r24402, r24392, MPFR_RNDN);
        mpfr_add(r24404, r24401, r24403, MPFR_RNDN);
        mpfr_mul(r24405, r24398, r24404, MPFR_RNDN);
        mpfr_add(r24406, r24391, r24405, MPFR_RNDN);
        mpfr_sqrt(r24407, r24406, MPFR_RNDN);
        mpfr_div(r24408, r24391, r24407, MPFR_RNDN);
        mpfr_add(r24409, r24391, r24408, MPFR_RNDN);
        mpfr_mul(r24410, r24393, r24409, MPFR_RNDN);
        mpfr_sqrt(r24411, r24410, MPFR_RNDN);
        ;
        mpfr_set_si(r24413, mpfr_cmp(r24388, r24412) <= 0, MPFR_RNDN);
        mpfr_div(r24414, r24391, r24388, MPFR_RNDN);
        mpfr_sin(r24415, r24414, MPFR_RNDN);
        mpfr_pow(r24416, r24415, r24392, MPFR_RNDN);
        mpfr_add(r24417, r24401, r24416, MPFR_RNDN);
        mpfr_mul(r24418, r24398, r24417, MPFR_RNDN);
        mpfr_add(r24419, r24391, r24418, MPFR_RNDN);
        mpfr_sqrt(r24420, r24419, MPFR_RNDN);
        mpfr_div(r24421, r24391, r24420, MPFR_RNDN);
        mpfr_add(r24422, r24391, r24421, MPFR_RNDN);
        mpfr_mul(r24423, r24393, r24422, MPFR_RNDN);
        mpfr_sqrt(r24424, r24423, MPFR_RNDN);
        if (mpfr_get_si(r24413, MPFR_RNDN)) { mpfr_set(r24425, r24424, MPFR_RNDN); } else { mpfr_set(r24425, r24411, MPFR_RNDN); };
        if (mpfr_get_si(r24390, MPFR_RNDN)) { mpfr_set(r24426, r24411, MPFR_RNDN); } else { mpfr_set(r24426, r24425, MPFR_RNDN); };
        return mpfr_get_d(r24426, MPFR_RNDN);
}

