#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Toniolo and Linder, Equation (13)";

double f_if(float n, float U, float t, float l, float Om, float U_) {
        float r25127 = 2;
        float r25128 = n;
        float r25129 = r25127 * r25128;
        float r25130 = U;
        float r25131 = r25129 * r25130;
        float r25132 = t;
        float r25133 = l;
        float r25134 = r25133 * r25133;
        float r25135 = Om;
        float r25136 = r25134 / r25135;
        float r25137 = r25127 * r25136;
        float r25138 = r25132 - r25137;
        float r25139 = r25133 / r25135;
        float r25140 = pow(r25139, r25127);
        float r25141 = r25128 * r25140;
        float r25142 = U_;
        float r25143 = r25130 - r25142;
        float r25144 = r25141 * r25143;
        float r25145 = r25138 - r25144;
        float r25146 = r25131 * r25145;
        float r25147 = sqrt(r25146);
        return r25147;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r25148 = 2;
        double r25149 = n;
        double r25150 = r25148 * r25149;
        double r25151 = U;
        double r25152 = r25150 * r25151;
        double r25153 = t;
        double r25154 = l;
        double r25155 = r25154 * r25154;
        double r25156 = Om;
        double r25157 = r25155 / r25156;
        double r25158 = r25148 * r25157;
        double r25159 = r25153 - r25158;
        double r25160 = r25154 / r25156;
        double r25161 = pow(r25160, r25148);
        double r25162 = r25149 * r25161;
        double r25163 = U_;
        double r25164 = r25151 - r25163;
        double r25165 = r25162 * r25164;
        double r25166 = r25159 - r25165;
        double r25167 = r25152 * r25166;
        double r25168 = sqrt(r25167);
        return r25168;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r25169 = U;
        float r25170 = n;
        float r25171 = r25169 * r25170;
        float r25172 = 2;
        float r25173 = r25171 * r25172;
        float r25174 = l;
        float r25175 = Om;
        float r25176 = r25174 / r25175;
        float r25177 = U_;
        float r25178 = r25177 - r25169;
        float r25179 = r25178 * r25176;
        float r25180 = r25179 * r25170;
        float r25181 = t;
        float r25182 = r25174 * r25172;
        float r25183 = r25182 * r25176;
        float r25184 = r25181 - r25183;
        float r25185 = fma(r25176, r25180, r25184);
        float r25186 = r25173 * r25185;
        float r25187 = 0;
        float r25188 = r25187 * r25170;
        float r25189 = r25169 * r25172;
        float r25190 = r25188 * r25189;
        float r25191 = r25186 + r25190;
        float r25192 = sqrt(r25191);
        float r25193 = 3.3479722410106387e-152;
        bool r25194 = r25192 <= r25193;
        float r25195 = r25170 * r25176;
        float r25196 = r25176 * r25195;
        float r25197 = r25176 * r25182;
        float r25198 = r25181 - r25197;
        float r25199 = fma(r25178, r25196, r25198);
        float r25200 = r25170 * r25172;
        float r25201 = r25199 * r25200;
        float r25202 = r25201 * r25169;
        float r25203 = r25202 + r25190;
        float r25204 = sqrt(r25203);
        float r25205 = 3.2723498741228846e+151;
        bool r25206 = r25192 <= r25205;
        float r25207 = r25170 / r25175;
        float r25208 = r25207 * r25207;
        float r25209 = r25174 * r25174;
        float r25210 = r25177 * r25169;
        float r25211 = r25209 * r25210;
        float r25212 = r25181 * r25169;
        float r25213 = r25170 * r25212;
        float r25214 = fma(r25208, r25211, r25213);
        float r25215 = r25174 * r25169;
        float r25216 = r25215 * r25215;
        float r25217 = r25208 * r25216;
        float r25218 = r25214 - r25217;
        float r25219 = r25172 * r25218;
        float r25220 = sqrt(r25219);
        float r25221 = r25206 ? r25192 : r25220;
        float r25222 = r25194 ? r25204 : r25221;
        return r25222;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r25223 = U;
        double r25224 = n;
        double r25225 = r25223 * r25224;
        double r25226 = 2;
        double r25227 = r25225 * r25226;
        double r25228 = l;
        double r25229 = Om;
        double r25230 = r25228 / r25229;
        double r25231 = U_;
        double r25232 = r25231 - r25223;
        double r25233 = r25232 * r25230;
        double r25234 = r25233 * r25224;
        double r25235 = t;
        double r25236 = r25228 * r25226;
        double r25237 = r25236 * r25230;
        double r25238 = r25235 - r25237;
        double r25239 = fma(r25230, r25234, r25238);
        double r25240 = r25227 * r25239;
        double r25241 = 0;
        double r25242 = r25241 * r25224;
        double r25243 = r25223 * r25226;
        double r25244 = r25242 * r25243;
        double r25245 = r25240 + r25244;
        double r25246 = sqrt(r25245);
        double r25247 = 3.3479722410106387e-152;
        bool r25248 = r25246 <= r25247;
        double r25249 = r25224 * r25230;
        double r25250 = r25230 * r25249;
        double r25251 = r25230 * r25236;
        double r25252 = r25235 - r25251;
        double r25253 = fma(r25232, r25250, r25252);
        double r25254 = r25224 * r25226;
        double r25255 = r25253 * r25254;
        double r25256 = r25255 * r25223;
        double r25257 = r25256 + r25244;
        double r25258 = sqrt(r25257);
        double r25259 = 3.2723498741228846e+151;
        bool r25260 = r25246 <= r25259;
        double r25261 = r25224 / r25229;
        double r25262 = r25261 * r25261;
        double r25263 = r25228 * r25228;
        double r25264 = r25231 * r25223;
        double r25265 = r25263 * r25264;
        double r25266 = r25235 * r25223;
        double r25267 = r25224 * r25266;
        double r25268 = fma(r25262, r25265, r25267);
        double r25269 = r25228 * r25223;
        double r25270 = r25269 * r25269;
        double r25271 = r25262 * r25270;
        double r25272 = r25268 - r25271;
        double r25273 = r25226 * r25272;
        double r25274 = sqrt(r25273);
        double r25275 = r25260 ? r25246 : r25274;
        double r25276 = r25248 ? r25258 : r25275;
        return r25276;
}

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 r25277, r25278, r25279, r25280, r25281, r25282, r25283, r25284, r25285, r25286, r25287, r25288, r25289, r25290, r25291, r25292, r25293, r25294, r25295, r25296, r25297;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r25277, "2", 10, MPFR_RNDN);
        mpfr_init(r25278);
        mpfr_init(r25279);
        mpfr_init(r25280);
        mpfr_init(r25281);
        mpfr_init(r25282);
        mpfr_init(r25283);
        mpfr_init(r25284);
        mpfr_init(r25285);
        mpfr_init(r25286);
        mpfr_init(r25287);
        mpfr_init(r25288);
        mpfr_init(r25289);
        mpfr_init(r25290);
        mpfr_init(r25291);
        mpfr_init(r25292);
        mpfr_init(r25293);
        mpfr_init(r25294);
        mpfr_init(r25295);
        mpfr_init(r25296);
        mpfr_init(r25297);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r25278, n, MPFR_RNDN);
        mpfr_mul(r25279, r25277, r25278, MPFR_RNDN);
        mpfr_set_d(r25280, U, MPFR_RNDN);
        mpfr_mul(r25281, r25279, r25280, MPFR_RNDN);
        mpfr_set_d(r25282, t, MPFR_RNDN);
        mpfr_set_d(r25283, l, MPFR_RNDN);
        mpfr_mul(r25284, r25283, r25283, MPFR_RNDN);
        mpfr_set_d(r25285, Om, MPFR_RNDN);
        mpfr_div(r25286, r25284, r25285, MPFR_RNDN);
        mpfr_mul(r25287, r25277, r25286, MPFR_RNDN);
        mpfr_sub(r25288, r25282, r25287, MPFR_RNDN);
        mpfr_div(r25289, r25283, r25285, MPFR_RNDN);
        mpfr_pow(r25290, r25289, r25277, MPFR_RNDN);
        mpfr_mul(r25291, r25278, r25290, MPFR_RNDN);
        mpfr_set_d(r25292, U_, MPFR_RNDN);
        mpfr_sub(r25293, r25280, r25292, MPFR_RNDN);
        mpfr_mul(r25294, r25291, r25293, MPFR_RNDN);
        mpfr_sub(r25295, r25288, r25294, MPFR_RNDN);
        mpfr_mul(r25296, r25281, r25295, MPFR_RNDN);
        mpfr_sqrt(r25297, r25296, MPFR_RNDN);
        return mpfr_get_d(r25297, MPFR_RNDN);
}

static mpfr_t r25298, r25299, r25300, r25301, r25302, r25303, r25304, r25305, r25306, r25307, r25308, r25309, r25310, r25311, r25312, r25313, r25314, r25315, r25316, r25317, r25318, r25319, r25320, r25321, r25322, r25323, r25324, r25325, r25326, r25327, r25328, r25329, r25330, r25331, r25332, r25333, r25334, r25335, r25336, r25337, r25338, r25339, r25340, r25341, r25342, r25343, r25344, r25345, r25346, r25347, r25348, r25349, r25350, r25351;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r25298);
        mpfr_init(r25299);
        mpfr_init(r25300);
        mpfr_init_set_str(r25301, "2", 10, MPFR_RNDN);
        mpfr_init(r25302);
        mpfr_init(r25303);
        mpfr_init(r25304);
        mpfr_init(r25305);
        mpfr_init(r25306);
        mpfr_init(r25307);
        mpfr_init(r25308);
        mpfr_init(r25309);
        mpfr_init(r25310);
        mpfr_init(r25311);
        mpfr_init(r25312);
        mpfr_init(r25313);
        mpfr_init(r25314);
        mpfr_init(r25315);
        mpfr_init_set_str(r25316, "0", 10, MPFR_RNDN);
        mpfr_init(r25317);
        mpfr_init(r25318);
        mpfr_init(r25319);
        mpfr_init(r25320);
        mpfr_init(r25321);
        mpfr_init_set_str(r25322, "3.3479722410106387e-152", 10, MPFR_RNDN);
        mpfr_init(r25323);
        mpfr_init(r25324);
        mpfr_init(r25325);
        mpfr_init(r25326);
        mpfr_init(r25327);
        mpfr_init(r25328);
        mpfr_init(r25329);
        mpfr_init(r25330);
        mpfr_init(r25331);
        mpfr_init(r25332);
        mpfr_init(r25333);
        mpfr_init_set_str(r25334, "3.2723498741228846e+151", 10, MPFR_RNDN);
        mpfr_init(r25335);
        mpfr_init(r25336);
        mpfr_init(r25337);
        mpfr_init(r25338);
        mpfr_init(r25339);
        mpfr_init(r25340);
        mpfr_init(r25341);
        mpfr_init(r25342);
        mpfr_init(r25343);
        mpfr_init(r25344);
        mpfr_init(r25345);
        mpfr_init(r25346);
        mpfr_init(r25347);
        mpfr_init(r25348);
        mpfr_init(r25349);
        mpfr_init(r25350);
        mpfr_init(r25351);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r25298, U, MPFR_RNDN);
        mpfr_set_d(r25299, n, MPFR_RNDN);
        mpfr_mul(r25300, r25298, r25299, MPFR_RNDN);
        ;
        mpfr_mul(r25302, r25300, r25301, MPFR_RNDN);
        mpfr_set_d(r25303, l, MPFR_RNDN);
        mpfr_set_d(r25304, Om, MPFR_RNDN);
        mpfr_div(r25305, r25303, r25304, MPFR_RNDN);
        mpfr_set_d(r25306, U_, MPFR_RNDN);
        mpfr_sub(r25307, r25306, r25298, MPFR_RNDN);
        mpfr_mul(r25308, r25307, r25305, MPFR_RNDN);
        mpfr_mul(r25309, r25308, r25299, MPFR_RNDN);
        mpfr_set_d(r25310, t, MPFR_RNDN);
        mpfr_mul(r25311, r25303, r25301, MPFR_RNDN);
        mpfr_mul(r25312, r25311, r25305, MPFR_RNDN);
        mpfr_sub(r25313, r25310, r25312, MPFR_RNDN);
        mpfr_fma(r25314, r25305, r25309, r25313, MPFR_RNDN);
        mpfr_mul(r25315, r25302, r25314, MPFR_RNDN);
        ;
        mpfr_mul(r25317, r25316, r25299, MPFR_RNDN);
        mpfr_mul(r25318, r25298, r25301, MPFR_RNDN);
        mpfr_mul(r25319, r25317, r25318, MPFR_RNDN);
        mpfr_add(r25320, r25315, r25319, MPFR_RNDN);
        mpfr_sqrt(r25321, r25320, MPFR_RNDN);
        ;
        mpfr_set_si(r25323, mpfr_cmp(r25321, r25322) <= 0, MPFR_RNDN);
        mpfr_mul(r25324, r25299, r25305, MPFR_RNDN);
        mpfr_mul(r25325, r25305, r25324, MPFR_RNDN);
        mpfr_mul(r25326, r25305, r25311, MPFR_RNDN);
        mpfr_sub(r25327, r25310, r25326, MPFR_RNDN);
        mpfr_fma(r25328, r25307, r25325, r25327, MPFR_RNDN);
        mpfr_mul(r25329, r25299, r25301, MPFR_RNDN);
        mpfr_mul(r25330, r25328, r25329, MPFR_RNDN);
        mpfr_mul(r25331, r25330, r25298, MPFR_RNDN);
        mpfr_add(r25332, r25331, r25319, MPFR_RNDN);
        mpfr_sqrt(r25333, r25332, MPFR_RNDN);
        ;
        mpfr_set_si(r25335, mpfr_cmp(r25321, r25334) <= 0, MPFR_RNDN);
        mpfr_div(r25336, r25299, r25304, MPFR_RNDN);
        mpfr_mul(r25337, r25336, r25336, MPFR_RNDN);
        mpfr_mul(r25338, r25303, r25303, MPFR_RNDN);
        mpfr_mul(r25339, r25306, r25298, MPFR_RNDN);
        mpfr_mul(r25340, r25338, r25339, MPFR_RNDN);
        mpfr_mul(r25341, r25310, r25298, MPFR_RNDN);
        mpfr_mul(r25342, r25299, r25341, MPFR_RNDN);
        mpfr_fma(r25343, r25337, r25340, r25342, MPFR_RNDN);
        mpfr_mul(r25344, r25303, r25298, MPFR_RNDN);
        mpfr_mul(r25345, r25344, r25344, MPFR_RNDN);
        mpfr_mul(r25346, r25337, r25345, MPFR_RNDN);
        mpfr_sub(r25347, r25343, r25346, MPFR_RNDN);
        mpfr_mul(r25348, r25301, r25347, MPFR_RNDN);
        mpfr_sqrt(r25349, r25348, MPFR_RNDN);
        if (mpfr_get_si(r25335, MPFR_RNDN)) { mpfr_set(r25350, r25321, MPFR_RNDN); } else { mpfr_set(r25350, r25349, MPFR_RNDN); };
        if (mpfr_get_si(r25323, MPFR_RNDN)) { mpfr_set(r25351, r25333, MPFR_RNDN); } else { mpfr_set(r25351, r25350, MPFR_RNDN); };
        return mpfr_get_d(r25351, MPFR_RNDN);
}

static mpfr_t r25352, r25353, r25354, r25355, r25356, r25357, r25358, r25359, r25360, r25361, r25362, r25363, r25364, r25365, r25366, r25367, r25368, r25369, r25370, r25371, r25372, r25373, r25374, r25375, r25376, r25377, r25378, r25379, r25380, r25381, r25382, r25383, r25384, r25385, r25386, r25387, r25388, r25389, r25390, r25391, r25392, r25393, r25394, r25395, r25396, r25397, r25398, r25399, r25400, r25401, r25402, r25403, r25404, r25405;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r25352);
        mpfr_init(r25353);
        mpfr_init(r25354);
        mpfr_init_set_str(r25355, "2", 10, MPFR_RNDN);
        mpfr_init(r25356);
        mpfr_init(r25357);
        mpfr_init(r25358);
        mpfr_init(r25359);
        mpfr_init(r25360);
        mpfr_init(r25361);
        mpfr_init(r25362);
        mpfr_init(r25363);
        mpfr_init(r25364);
        mpfr_init(r25365);
        mpfr_init(r25366);
        mpfr_init(r25367);
        mpfr_init(r25368);
        mpfr_init(r25369);
        mpfr_init_set_str(r25370, "0", 10, MPFR_RNDN);
        mpfr_init(r25371);
        mpfr_init(r25372);
        mpfr_init(r25373);
        mpfr_init(r25374);
        mpfr_init(r25375);
        mpfr_init_set_str(r25376, "3.3479722410106387e-152", 10, MPFR_RNDN);
        mpfr_init(r25377);
        mpfr_init(r25378);
        mpfr_init(r25379);
        mpfr_init(r25380);
        mpfr_init(r25381);
        mpfr_init(r25382);
        mpfr_init(r25383);
        mpfr_init(r25384);
        mpfr_init(r25385);
        mpfr_init(r25386);
        mpfr_init(r25387);
        mpfr_init_set_str(r25388, "3.2723498741228846e+151", 10, MPFR_RNDN);
        mpfr_init(r25389);
        mpfr_init(r25390);
        mpfr_init(r25391);
        mpfr_init(r25392);
        mpfr_init(r25393);
        mpfr_init(r25394);
        mpfr_init(r25395);
        mpfr_init(r25396);
        mpfr_init(r25397);
        mpfr_init(r25398);
        mpfr_init(r25399);
        mpfr_init(r25400);
        mpfr_init(r25401);
        mpfr_init(r25402);
        mpfr_init(r25403);
        mpfr_init(r25404);
        mpfr_init(r25405);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r25352, U, MPFR_RNDN);
        mpfr_set_d(r25353, n, MPFR_RNDN);
        mpfr_mul(r25354, r25352, r25353, MPFR_RNDN);
        ;
        mpfr_mul(r25356, r25354, r25355, MPFR_RNDN);
        mpfr_set_d(r25357, l, MPFR_RNDN);
        mpfr_set_d(r25358, Om, MPFR_RNDN);
        mpfr_div(r25359, r25357, r25358, MPFR_RNDN);
        mpfr_set_d(r25360, U_, MPFR_RNDN);
        mpfr_sub(r25361, r25360, r25352, MPFR_RNDN);
        mpfr_mul(r25362, r25361, r25359, MPFR_RNDN);
        mpfr_mul(r25363, r25362, r25353, MPFR_RNDN);
        mpfr_set_d(r25364, t, MPFR_RNDN);
        mpfr_mul(r25365, r25357, r25355, MPFR_RNDN);
        mpfr_mul(r25366, r25365, r25359, MPFR_RNDN);
        mpfr_sub(r25367, r25364, r25366, MPFR_RNDN);
        mpfr_fma(r25368, r25359, r25363, r25367, MPFR_RNDN);
        mpfr_mul(r25369, r25356, r25368, MPFR_RNDN);
        ;
        mpfr_mul(r25371, r25370, r25353, MPFR_RNDN);
        mpfr_mul(r25372, r25352, r25355, MPFR_RNDN);
        mpfr_mul(r25373, r25371, r25372, MPFR_RNDN);
        mpfr_add(r25374, r25369, r25373, MPFR_RNDN);
        mpfr_sqrt(r25375, r25374, MPFR_RNDN);
        ;
        mpfr_set_si(r25377, mpfr_cmp(r25375, r25376) <= 0, MPFR_RNDN);
        mpfr_mul(r25378, r25353, r25359, MPFR_RNDN);
        mpfr_mul(r25379, r25359, r25378, MPFR_RNDN);
        mpfr_mul(r25380, r25359, r25365, MPFR_RNDN);
        mpfr_sub(r25381, r25364, r25380, MPFR_RNDN);
        mpfr_fma(r25382, r25361, r25379, r25381, MPFR_RNDN);
        mpfr_mul(r25383, r25353, r25355, MPFR_RNDN);
        mpfr_mul(r25384, r25382, r25383, MPFR_RNDN);
        mpfr_mul(r25385, r25384, r25352, MPFR_RNDN);
        mpfr_add(r25386, r25385, r25373, MPFR_RNDN);
        mpfr_sqrt(r25387, r25386, MPFR_RNDN);
        ;
        mpfr_set_si(r25389, mpfr_cmp(r25375, r25388) <= 0, MPFR_RNDN);
        mpfr_div(r25390, r25353, r25358, MPFR_RNDN);
        mpfr_mul(r25391, r25390, r25390, MPFR_RNDN);
        mpfr_mul(r25392, r25357, r25357, MPFR_RNDN);
        mpfr_mul(r25393, r25360, r25352, MPFR_RNDN);
        mpfr_mul(r25394, r25392, r25393, MPFR_RNDN);
        mpfr_mul(r25395, r25364, r25352, MPFR_RNDN);
        mpfr_mul(r25396, r25353, r25395, MPFR_RNDN);
        mpfr_fma(r25397, r25391, r25394, r25396, MPFR_RNDN);
        mpfr_mul(r25398, r25357, r25352, MPFR_RNDN);
        mpfr_mul(r25399, r25398, r25398, MPFR_RNDN);
        mpfr_mul(r25400, r25391, r25399, MPFR_RNDN);
        mpfr_sub(r25401, r25397, r25400, MPFR_RNDN);
        mpfr_mul(r25402, r25355, r25401, MPFR_RNDN);
        mpfr_sqrt(r25403, r25402, MPFR_RNDN);
        if (mpfr_get_si(r25389, MPFR_RNDN)) { mpfr_set(r25404, r25375, MPFR_RNDN); } else { mpfr_set(r25404, r25403, MPFR_RNDN); };
        if (mpfr_get_si(r25377, MPFR_RNDN)) { mpfr_set(r25405, r25387, MPFR_RNDN); } else { mpfr_set(r25405, r25404, MPFR_RNDN); };
        return mpfr_get_d(r25405, MPFR_RNDN);
}

