#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 r24189 = 1;
        float r24190 = 2;
        float r24191 = r24189 / r24190;
        float r24192 = l;
        float r24193 = r24190 * r24192;
        float r24194 = Om;
        float r24195 = r24193 / r24194;
        float r24196 = pow(r24195, r24190);
        float r24197 = kx;
        float r24198 = sin(r24197);
        float r24199 = pow(r24198, r24190);
        float r24200 = ky;
        float r24201 = sin(r24200);
        float r24202 = pow(r24201, r24190);
        float r24203 = r24199 + r24202;
        float r24204 = r24196 * r24203;
        float r24205 = r24189 + r24204;
        float r24206 = sqrt(r24205);
        float r24207 = r24189 / r24206;
        float r24208 = r24189 + r24207;
        float r24209 = r24191 * r24208;
        float r24210 = sqrt(r24209);
        return r24210;
}

double f_id(double l, double Om, double kx, double ky) {
        double r24211 = 1;
        double r24212 = 2;
        double r24213 = r24211 / r24212;
        double r24214 = l;
        double r24215 = r24212 * r24214;
        double r24216 = Om;
        double r24217 = r24215 / r24216;
        double r24218 = pow(r24217, r24212);
        double r24219 = kx;
        double r24220 = sin(r24219);
        double r24221 = pow(r24220, r24212);
        double r24222 = ky;
        double r24223 = sin(r24222);
        double r24224 = pow(r24223, r24212);
        double r24225 = r24221 + r24224;
        double r24226 = r24218 * r24225;
        double r24227 = r24211 + r24226;
        double r24228 = sqrt(r24227);
        double r24229 = r24211 / r24228;
        double r24230 = r24211 + r24229;
        double r24231 = r24213 * r24230;
        double r24232 = sqrt(r24231);
        return r24232;
}


double f_of(float l, float Om, float kx, float ky) {
        float r24233 = ky;
        float r24234 = -1.0941952882186937e-120;
        bool r24235 = r24233 <= r24234;
        float r24236 = 1;
        float r24237 = 2;
        float r24238 = r24236 / r24237;
        float r24239 = l;
        float r24240 = r24237 * r24239;
        float r24241 = Om;
        float r24242 = r24240 / r24241;
        float r24243 = pow(r24242, r24237);
        float r24244 = kx;
        float r24245 = sin(r24244);
        float r24246 = pow(r24245, r24237);
        float r24247 = sin(r24233);
        float r24248 = pow(r24247, r24237);
        float r24249 = r24246 + r24248;
        float r24250 = r24243 * r24249;
        float r24251 = r24236 + r24250;
        float r24252 = sqrt(r24251);
        float r24253 = r24236 / r24252;
        float r24254 = r24236 + r24253;
        float r24255 = r24238 * r24254;
        float r24256 = sqrt(r24255);
        float r24257 = 3.9231890588882945e-226;
        bool r24258 = r24233 <= r24257;
        float r24259 = r24236 / r24233;
        float r24260 = sin(r24259);
        float r24261 = pow(r24260, r24237);
        float r24262 = r24246 + r24261;
        float r24263 = r24243 * r24262;
        float r24264 = r24236 + r24263;
        float r24265 = sqrt(r24264);
        float r24266 = r24236 / r24265;
        float r24267 = r24236 + r24266;
        float r24268 = r24238 * r24267;
        float r24269 = sqrt(r24268);
        float r24270 = r24258 ? r24269 : r24256;
        float r24271 = r24235 ? r24256 : r24270;
        return r24271;
}

double f_od(double l, double Om, double kx, double ky) {
        double r24272 = ky;
        double r24273 = -1.0941952882186937e-120;
        bool r24274 = r24272 <= r24273;
        double r24275 = 1;
        double r24276 = 2;
        double r24277 = r24275 / r24276;
        double r24278 = l;
        double r24279 = r24276 * r24278;
        double r24280 = Om;
        double r24281 = r24279 / r24280;
        double r24282 = pow(r24281, r24276);
        double r24283 = kx;
        double r24284 = sin(r24283);
        double r24285 = pow(r24284, r24276);
        double r24286 = sin(r24272);
        double r24287 = pow(r24286, r24276);
        double r24288 = r24285 + r24287;
        double r24289 = r24282 * r24288;
        double r24290 = r24275 + r24289;
        double r24291 = sqrt(r24290);
        double r24292 = r24275 / r24291;
        double r24293 = r24275 + r24292;
        double r24294 = r24277 * r24293;
        double r24295 = sqrt(r24294);
        double r24296 = 3.9231890588882945e-226;
        bool r24297 = r24272 <= r24296;
        double r24298 = r24275 / r24272;
        double r24299 = sin(r24298);
        double r24300 = pow(r24299, r24276);
        double r24301 = r24285 + r24300;
        double r24302 = r24282 * r24301;
        double r24303 = r24275 + r24302;
        double r24304 = sqrt(r24303);
        double r24305 = r24275 / r24304;
        double r24306 = r24275 + r24305;
        double r24307 = r24277 * r24306;
        double r24308 = sqrt(r24307);
        double r24309 = r24297 ? r24308 : r24295;
        double r24310 = r24274 ? r24295 : r24309;
        return r24310;
}

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 r24311, r24312, r24313, r24314, r24315, r24316, r24317, r24318, r24319, r24320, r24321, r24322, r24323, r24324, r24325, r24326, r24327, r24328, r24329, r24330, r24331, r24332;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r24311, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r24312, "2", 10, MPFR_RNDN);
        mpfr_init(r24313);
        mpfr_init(r24314);
        mpfr_init(r24315);
        mpfr_init(r24316);
        mpfr_init(r24317);
        mpfr_init(r24318);
        mpfr_init(r24319);
        mpfr_init(r24320);
        mpfr_init(r24321);
        mpfr_init(r24322);
        mpfr_init(r24323);
        mpfr_init(r24324);
        mpfr_init(r24325);
        mpfr_init(r24326);
        mpfr_init(r24327);
        mpfr_init(r24328);
        mpfr_init(r24329);
        mpfr_init(r24330);
        mpfr_init(r24331);
        mpfr_init(r24332);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r24313, r24311, r24312, MPFR_RNDN);
        mpfr_set_d(r24314, l, MPFR_RNDN);
        mpfr_mul(r24315, r24312, r24314, MPFR_RNDN);
        mpfr_set_d(r24316, Om, MPFR_RNDN);
        mpfr_div(r24317, r24315, r24316, MPFR_RNDN);
        mpfr_pow(r24318, r24317, r24312, MPFR_RNDN);
        mpfr_set_d(r24319, kx, MPFR_RNDN);
        mpfr_sin(r24320, r24319, MPFR_RNDN);
        mpfr_pow(r24321, r24320, r24312, MPFR_RNDN);
        mpfr_set_d(r24322, ky, MPFR_RNDN);
        mpfr_sin(r24323, r24322, MPFR_RNDN);
        mpfr_pow(r24324, r24323, r24312, MPFR_RNDN);
        mpfr_add(r24325, r24321, r24324, MPFR_RNDN);
        mpfr_mul(r24326, r24318, r24325, MPFR_RNDN);
        mpfr_add(r24327, r24311, r24326, MPFR_RNDN);
        mpfr_sqrt(r24328, r24327, MPFR_RNDN);
        mpfr_div(r24329, r24311, r24328, MPFR_RNDN);
        mpfr_add(r24330, r24311, r24329, MPFR_RNDN);
        mpfr_mul(r24331, r24313, r24330, MPFR_RNDN);
        mpfr_sqrt(r24332, r24331, MPFR_RNDN);
        return mpfr_get_d(r24332, MPFR_RNDN);
}

static mpfr_t r24333, r24334, r24335, r24336, r24337, r24338, r24339, r24340, r24341, r24342, r24343, r24344, r24345, r24346, r24347, r24348, r24349, r24350, r24351, r24352, r24353, r24354, r24355, r24356, r24357, r24358, r24359, r24360, r24361, r24362, r24363, r24364, r24365, r24366, r24367, r24368, r24369, r24370, r24371;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r24333);
        mpfr_init_set_str(r24334, "-1.0941952882186937e-120", 10, MPFR_RNDN);
        mpfr_init(r24335);
        mpfr_init_set_str(r24336, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r24337, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r24349);
        mpfr_init(r24350);
        mpfr_init(r24351);
        mpfr_init(r24352);
        mpfr_init(r24353);
        mpfr_init(r24354);
        mpfr_init(r24355);
        mpfr_init(r24356);
        mpfr_init_set_str(r24357, "3.9231890588882945e-226", 10, MPFR_RNDN);
        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);
}

double f_fm(double l, double Om, double kx, double ky) {
        mpfr_set_d(r24333, ky, MPFR_RNDN);
        ;
        mpfr_set_si(r24335, mpfr_cmp(r24333, r24334) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_div(r24338, r24336, r24337, MPFR_RNDN);
        mpfr_set_d(r24339, l, MPFR_RNDN);
        mpfr_mul(r24340, r24337, r24339, MPFR_RNDN);
        mpfr_set_d(r24341, Om, MPFR_RNDN);
        mpfr_div(r24342, r24340, r24341, MPFR_RNDN);
        mpfr_pow(r24343, r24342, r24337, MPFR_RNDN);
        mpfr_set_d(r24344, kx, MPFR_RNDN);
        mpfr_sin(r24345, r24344, MPFR_RNDN);
        mpfr_pow(r24346, r24345, r24337, MPFR_RNDN);
        mpfr_sin(r24347, r24333, MPFR_RNDN);
        mpfr_pow(r24348, r24347, r24337, MPFR_RNDN);
        mpfr_add(r24349, r24346, r24348, MPFR_RNDN);
        mpfr_mul(r24350, r24343, r24349, MPFR_RNDN);
        mpfr_add(r24351, r24336, r24350, MPFR_RNDN);
        mpfr_sqrt(r24352, r24351, MPFR_RNDN);
        mpfr_div(r24353, r24336, r24352, MPFR_RNDN);
        mpfr_add(r24354, r24336, r24353, MPFR_RNDN);
        mpfr_mul(r24355, r24338, r24354, MPFR_RNDN);
        mpfr_sqrt(r24356, r24355, MPFR_RNDN);
        ;
        mpfr_set_si(r24358, mpfr_cmp(r24333, r24357) <= 0, MPFR_RNDN);
        mpfr_div(r24359, r24336, r24333, MPFR_RNDN);
        mpfr_sin(r24360, r24359, MPFR_RNDN);
        mpfr_pow(r24361, r24360, r24337, MPFR_RNDN);
        mpfr_add(r24362, r24346, r24361, MPFR_RNDN);
        mpfr_mul(r24363, r24343, r24362, MPFR_RNDN);
        mpfr_add(r24364, r24336, r24363, MPFR_RNDN);
        mpfr_sqrt(r24365, r24364, MPFR_RNDN);
        mpfr_div(r24366, r24336, r24365, MPFR_RNDN);
        mpfr_add(r24367, r24336, r24366, MPFR_RNDN);
        mpfr_mul(r24368, r24338, r24367, MPFR_RNDN);
        mpfr_sqrt(r24369, r24368, MPFR_RNDN);
        if (mpfr_get_si(r24358, MPFR_RNDN)) { mpfr_set(r24370, r24369, MPFR_RNDN); } else { mpfr_set(r24370, r24356, MPFR_RNDN); };
        if (mpfr_get_si(r24335, MPFR_RNDN)) { mpfr_set(r24371, r24356, MPFR_RNDN); } else { mpfr_set(r24371, r24370, MPFR_RNDN); };
        return mpfr_get_d(r24371, MPFR_RNDN);
}

static mpfr_t r24372, r24373, r24374, r24375, r24376, r24377, r24378, r24379, r24380, r24381, r24382, r24383, r24384, r24385, r24386, r24387, r24388, r24389, r24390, r24391, r24392, r24393, r24394, r24395, r24396, r24397, r24398, r24399, r24400, r24401, r24402, r24403, r24404, r24405, r24406, r24407, r24408, r24409, r24410;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r24372);
        mpfr_init_set_str(r24373, "-1.0941952882186937e-120", 10, MPFR_RNDN);
        mpfr_init(r24374);
        mpfr_init_set_str(r24375, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r24376, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r24388);
        mpfr_init(r24389);
        mpfr_init(r24390);
        mpfr_init(r24391);
        mpfr_init(r24392);
        mpfr_init(r24393);
        mpfr_init(r24394);
        mpfr_init(r24395);
        mpfr_init_set_str(r24396, "3.9231890588882945e-226", 10, MPFR_RNDN);
        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);
}

double f_dm(double l, double Om, double kx, double ky) {
        mpfr_set_d(r24372, ky, MPFR_RNDN);
        ;
        mpfr_set_si(r24374, mpfr_cmp(r24372, r24373) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_div(r24377, r24375, r24376, MPFR_RNDN);
        mpfr_set_d(r24378, l, MPFR_RNDN);
        mpfr_mul(r24379, r24376, r24378, MPFR_RNDN);
        mpfr_set_d(r24380, Om, MPFR_RNDN);
        mpfr_div(r24381, r24379, r24380, MPFR_RNDN);
        mpfr_pow(r24382, r24381, r24376, MPFR_RNDN);
        mpfr_set_d(r24383, kx, MPFR_RNDN);
        mpfr_sin(r24384, r24383, MPFR_RNDN);
        mpfr_pow(r24385, r24384, r24376, MPFR_RNDN);
        mpfr_sin(r24386, r24372, MPFR_RNDN);
        mpfr_pow(r24387, r24386, r24376, MPFR_RNDN);
        mpfr_add(r24388, r24385, r24387, MPFR_RNDN);
        mpfr_mul(r24389, r24382, r24388, MPFR_RNDN);
        mpfr_add(r24390, r24375, r24389, MPFR_RNDN);
        mpfr_sqrt(r24391, r24390, MPFR_RNDN);
        mpfr_div(r24392, r24375, r24391, MPFR_RNDN);
        mpfr_add(r24393, r24375, r24392, MPFR_RNDN);
        mpfr_mul(r24394, r24377, r24393, MPFR_RNDN);
        mpfr_sqrt(r24395, r24394, MPFR_RNDN);
        ;
        mpfr_set_si(r24397, mpfr_cmp(r24372, r24396) <= 0, MPFR_RNDN);
        mpfr_div(r24398, r24375, r24372, MPFR_RNDN);
        mpfr_sin(r24399, r24398, MPFR_RNDN);
        mpfr_pow(r24400, r24399, r24376, MPFR_RNDN);
        mpfr_add(r24401, r24385, r24400, MPFR_RNDN);
        mpfr_mul(r24402, r24382, r24401, MPFR_RNDN);
        mpfr_add(r24403, r24375, r24402, MPFR_RNDN);
        mpfr_sqrt(r24404, r24403, MPFR_RNDN);
        mpfr_div(r24405, r24375, r24404, MPFR_RNDN);
        mpfr_add(r24406, r24375, r24405, MPFR_RNDN);
        mpfr_mul(r24407, r24377, r24406, MPFR_RNDN);
        mpfr_sqrt(r24408, r24407, MPFR_RNDN);
        if (mpfr_get_si(r24397, MPFR_RNDN)) { mpfr_set(r24409, r24408, MPFR_RNDN); } else { mpfr_set(r24409, r24395, MPFR_RNDN); };
        if (mpfr_get_si(r24374, MPFR_RNDN)) { mpfr_set(r24410, r24395, MPFR_RNDN); } else { mpfr_set(r24410, r24409, MPFR_RNDN); };
        return mpfr_get_d(r24410, MPFR_RNDN);
}

