#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 r22069 = 2;
        float r22070 = n;
        float r22071 = r22069 * r22070;
        float r22072 = U;
        float r22073 = r22071 * r22072;
        float r22074 = t;
        float r22075 = l;
        float r22076 = r22075 * r22075;
        float r22077 = Om;
        float r22078 = r22076 / r22077;
        float r22079 = r22069 * r22078;
        float r22080 = r22074 - r22079;
        float r22081 = r22075 / r22077;
        float r22082 = pow(r22081, r22069);
        float r22083 = r22070 * r22082;
        float r22084 = U_;
        float r22085 = r22072 - r22084;
        float r22086 = r22083 * r22085;
        float r22087 = r22080 - r22086;
        float r22088 = r22073 * r22087;
        float r22089 = sqrt(r22088);
        return r22089;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r22090 = 2;
        double r22091 = n;
        double r22092 = r22090 * r22091;
        double r22093 = U;
        double r22094 = r22092 * r22093;
        double r22095 = t;
        double r22096 = l;
        double r22097 = r22096 * r22096;
        double r22098 = Om;
        double r22099 = r22097 / r22098;
        double r22100 = r22090 * r22099;
        double r22101 = r22095 - r22100;
        double r22102 = r22096 / r22098;
        double r22103 = pow(r22102, r22090);
        double r22104 = r22091 * r22103;
        double r22105 = U_;
        double r22106 = r22093 - r22105;
        double r22107 = r22104 * r22106;
        double r22108 = r22101 - r22107;
        double r22109 = r22094 * r22108;
        double r22110 = sqrt(r22109);
        return r22110;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r22111 = n;
        float r22112 = 2;
        float r22113 = r22111 * r22112;
        float r22114 = U;
        float r22115 = r22113 * r22114;
        float r22116 = -2.889955925598292e-237;
        bool r22117 = r22115 <= r22116;
        float r22118 = r22112 * r22111;
        float r22119 = r22118 * r22114;
        float r22120 = t;
        float r22121 = l;
        float r22122 = r22121 * r22121;
        float r22123 = Om;
        float r22124 = r22122 / r22123;
        float r22125 = r22112 * r22124;
        float r22126 = r22120 - r22125;
        float r22127 = r22121 / r22123;
        float r22128 = pow(r22127, r22112);
        float r22129 = U_;
        float r22130 = r22114 - r22129;
        float r22131 = r22128 * r22130;
        float r22132 = r22111 * r22131;
        float r22133 = r22126 - r22132;
        float r22134 = r22119 * r22133;
        float r22135 = sqrt(r22134);
        float r22136 = 0.0;
        bool r22137 = r22115 <= r22136;
        float r22138 = r22123 / r22121;
        float r22139 = r22121 / r22138;
        float r22140 = r22112 * r22139;
        float r22141 = r22120 - r22140;
        float r22142 = r22123 / r22111;
        float r22143 = r22121 / r22142;
        float r22144 = cbrt(r22127);
        float r22145 = r22143 * r22144;
        float r22146 = pow(r22144, r22112);
        float r22147 = r22145 * r22146;
        float r22148 = r22147 * r22130;
        float r22149 = r22141 - r22148;
        float r22150 = r22114 * r22149;
        float r22151 = r22118 * r22150;
        float r22152 = sqrt(r22151);
        float r22153 = sqrt(r22119);
        float r22154 = r22111 * r22128;
        float r22155 = r22154 * r22130;
        float r22156 = r22141 - r22155;
        float r22157 = sqrt(r22156);
        float r22158 = r22153 * r22157;
        float r22159 = r22137 ? r22152 : r22158;
        float r22160 = r22117 ? r22135 : r22159;
        return r22160;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r22161 = n;
        double r22162 = 2;
        double r22163 = r22161 * r22162;
        double r22164 = U;
        double r22165 = r22163 * r22164;
        double r22166 = -2.889955925598292e-237;
        bool r22167 = r22165 <= r22166;
        double r22168 = r22162 * r22161;
        double r22169 = r22168 * r22164;
        double r22170 = t;
        double r22171 = l;
        double r22172 = r22171 * r22171;
        double r22173 = Om;
        double r22174 = r22172 / r22173;
        double r22175 = r22162 * r22174;
        double r22176 = r22170 - r22175;
        double r22177 = r22171 / r22173;
        double r22178 = pow(r22177, r22162);
        double r22179 = U_;
        double r22180 = r22164 - r22179;
        double r22181 = r22178 * r22180;
        double r22182 = r22161 * r22181;
        double r22183 = r22176 - r22182;
        double r22184 = r22169 * r22183;
        double r22185 = sqrt(r22184);
        double r22186 = 0.0;
        bool r22187 = r22165 <= r22186;
        double r22188 = r22173 / r22171;
        double r22189 = r22171 / r22188;
        double r22190 = r22162 * r22189;
        double r22191 = r22170 - r22190;
        double r22192 = r22173 / r22161;
        double r22193 = r22171 / r22192;
        double r22194 = cbrt(r22177);
        double r22195 = r22193 * r22194;
        double r22196 = pow(r22194, r22162);
        double r22197 = r22195 * r22196;
        double r22198 = r22197 * r22180;
        double r22199 = r22191 - r22198;
        double r22200 = r22164 * r22199;
        double r22201 = r22168 * r22200;
        double r22202 = sqrt(r22201);
        double r22203 = sqrt(r22169);
        double r22204 = r22161 * r22178;
        double r22205 = r22204 * r22180;
        double r22206 = r22191 - r22205;
        double r22207 = sqrt(r22206);
        double r22208 = r22203 * r22207;
        double r22209 = r22187 ? r22202 : r22208;
        double r22210 = r22167 ? r22185 : r22209;
        return r22210;
}

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 r22211, r22212, r22213, r22214, r22215, r22216, r22217, r22218, r22219, r22220, r22221, r22222, r22223, r22224, r22225, r22226, r22227, r22228, r22229, r22230, r22231;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22211, "2", 10, MPFR_RNDN);
        mpfr_init(r22212);
        mpfr_init(r22213);
        mpfr_init(r22214);
        mpfr_init(r22215);
        mpfr_init(r22216);
        mpfr_init(r22217);
        mpfr_init(r22218);
        mpfr_init(r22219);
        mpfr_init(r22220);
        mpfr_init(r22221);
        mpfr_init(r22222);
        mpfr_init(r22223);
        mpfr_init(r22224);
        mpfr_init(r22225);
        mpfr_init(r22226);
        mpfr_init(r22227);
        mpfr_init(r22228);
        mpfr_init(r22229);
        mpfr_init(r22230);
        mpfr_init(r22231);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22212, n, MPFR_RNDN);
        mpfr_mul(r22213, r22211, r22212, MPFR_RNDN);
        mpfr_set_d(r22214, U, MPFR_RNDN);
        mpfr_mul(r22215, r22213, r22214, MPFR_RNDN);
        mpfr_set_d(r22216, t, MPFR_RNDN);
        mpfr_set_d(r22217, l, MPFR_RNDN);
        mpfr_mul(r22218, r22217, r22217, MPFR_RNDN);
        mpfr_set_d(r22219, Om, MPFR_RNDN);
        mpfr_div(r22220, r22218, r22219, MPFR_RNDN);
        mpfr_mul(r22221, r22211, r22220, MPFR_RNDN);
        mpfr_sub(r22222, r22216, r22221, MPFR_RNDN);
        mpfr_div(r22223, r22217, r22219, MPFR_RNDN);
        mpfr_pow(r22224, r22223, r22211, MPFR_RNDN);
        mpfr_mul(r22225, r22212, r22224, MPFR_RNDN);
        mpfr_set_d(r22226, U_, MPFR_RNDN);
        mpfr_sub(r22227, r22214, r22226, MPFR_RNDN);
        mpfr_mul(r22228, r22225, r22227, MPFR_RNDN);
        mpfr_sub(r22229, r22222, r22228, MPFR_RNDN);
        mpfr_mul(r22230, r22215, r22229, MPFR_RNDN);
        mpfr_sqrt(r22231, r22230, MPFR_RNDN);
        return mpfr_get_d(r22231, MPFR_RNDN);
}

static mpfr_t r22232, r22233, r22234, r22235, r22236, r22237, r22238, r22239, r22240, r22241, r22242, r22243, r22244, r22245, r22246, r22247, r22248, r22249, r22250, r22251, r22252, r22253, r22254, r22255, r22256, r22257, r22258, r22259, r22260, r22261, r22262, r22263, r22264, r22265, r22266, r22267, r22268, r22269, r22270, r22271, r22272, r22273, r22274, r22275, r22276, r22277, r22278, r22279, r22280, r22281;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22232);
        mpfr_init_set_str(r22233, "2", 10, MPFR_RNDN);
        mpfr_init(r22234);
        mpfr_init(r22235);
        mpfr_init(r22236);
        mpfr_init_set_str(r22237, "-2.889955925598292e-237", 10, MPFR_RNDN);
        mpfr_init(r22238);
        mpfr_init(r22239);
        mpfr_init(r22240);
        mpfr_init(r22241);
        mpfr_init(r22242);
        mpfr_init(r22243);
        mpfr_init(r22244);
        mpfr_init(r22245);
        mpfr_init(r22246);
        mpfr_init(r22247);
        mpfr_init(r22248);
        mpfr_init(r22249);
        mpfr_init(r22250);
        mpfr_init(r22251);
        mpfr_init(r22252);
        mpfr_init(r22253);
        mpfr_init(r22254);
        mpfr_init(r22255);
        mpfr_init(r22256);
        mpfr_init_set_str(r22257, "0.0", 10, MPFR_RNDN);
        mpfr_init(r22258);
        mpfr_init(r22259);
        mpfr_init(r22260);
        mpfr_init(r22261);
        mpfr_init(r22262);
        mpfr_init(r22263);
        mpfr_init(r22264);
        mpfr_init(r22265);
        mpfr_init(r22266);
        mpfr_init(r22267);
        mpfr_init(r22268);
        mpfr_init(r22269);
        mpfr_init(r22270);
        mpfr_init(r22271);
        mpfr_init(r22272);
        mpfr_init(r22273);
        mpfr_init(r22274);
        mpfr_init(r22275);
        mpfr_init(r22276);
        mpfr_init(r22277);
        mpfr_init(r22278);
        mpfr_init(r22279);
        mpfr_init(r22280);
        mpfr_init(r22281);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r22232, n, MPFR_RNDN);
        ;
        mpfr_mul(r22234, r22232, r22233, MPFR_RNDN);
        mpfr_set_d(r22235, U, MPFR_RNDN);
        mpfr_mul(r22236, r22234, r22235, MPFR_RNDN);
        ;
        mpfr_set_si(r22238, mpfr_cmp(r22236, r22237) <= 0, MPFR_RNDN);
        mpfr_mul(r22239, r22233, r22232, MPFR_RNDN);
        mpfr_mul(r22240, r22239, r22235, MPFR_RNDN);
        mpfr_set_d(r22241, t, MPFR_RNDN);
        mpfr_set_d(r22242, l, MPFR_RNDN);
        mpfr_mul(r22243, r22242, r22242, MPFR_RNDN);
        mpfr_set_d(r22244, Om, MPFR_RNDN);
        mpfr_div(r22245, r22243, r22244, MPFR_RNDN);
        mpfr_mul(r22246, r22233, r22245, MPFR_RNDN);
        mpfr_sub(r22247, r22241, r22246, MPFR_RNDN);
        mpfr_div(r22248, r22242, r22244, MPFR_RNDN);
        mpfr_pow(r22249, r22248, r22233, MPFR_RNDN);
        mpfr_set_d(r22250, U_, MPFR_RNDN);
        mpfr_sub(r22251, r22235, r22250, MPFR_RNDN);
        mpfr_mul(r22252, r22249, r22251, MPFR_RNDN);
        mpfr_mul(r22253, r22232, r22252, MPFR_RNDN);
        mpfr_sub(r22254, r22247, r22253, MPFR_RNDN);
        mpfr_mul(r22255, r22240, r22254, MPFR_RNDN);
        mpfr_sqrt(r22256, r22255, MPFR_RNDN);
        ;
        mpfr_set_si(r22258, mpfr_cmp(r22236, r22257) <= 0, MPFR_RNDN);
        mpfr_div(r22259, r22244, r22242, MPFR_RNDN);
        mpfr_div(r22260, r22242, r22259, MPFR_RNDN);
        mpfr_mul(r22261, r22233, r22260, MPFR_RNDN);
        mpfr_sub(r22262, r22241, r22261, MPFR_RNDN);
        mpfr_div(r22263, r22244, r22232, MPFR_RNDN);
        mpfr_div(r22264, r22242, r22263, MPFR_RNDN);
        mpfr_cbrt(r22265, r22248, MPFR_RNDN);
        mpfr_mul(r22266, r22264, r22265, MPFR_RNDN);
        mpfr_pow(r22267, r22265, r22233, MPFR_RNDN);
        mpfr_mul(r22268, r22266, r22267, MPFR_RNDN);
        mpfr_mul(r22269, r22268, r22251, MPFR_RNDN);
        mpfr_sub(r22270, r22262, r22269, MPFR_RNDN);
        mpfr_mul(r22271, r22235, r22270, MPFR_RNDN);
        mpfr_mul(r22272, r22239, r22271, MPFR_RNDN);
        mpfr_sqrt(r22273, r22272, MPFR_RNDN);
        mpfr_sqrt(r22274, r22240, MPFR_RNDN);
        mpfr_mul(r22275, r22232, r22249, MPFR_RNDN);
        mpfr_mul(r22276, r22275, r22251, MPFR_RNDN);
        mpfr_sub(r22277, r22262, r22276, MPFR_RNDN);
        mpfr_sqrt(r22278, r22277, MPFR_RNDN);
        mpfr_mul(r22279, r22274, r22278, MPFR_RNDN);
        if (mpfr_get_si(r22258, MPFR_RNDN)) { mpfr_set(r22280, r22273, MPFR_RNDN); } else { mpfr_set(r22280, r22279, MPFR_RNDN); };
        if (mpfr_get_si(r22238, MPFR_RNDN)) { mpfr_set(r22281, r22256, MPFR_RNDN); } else { mpfr_set(r22281, r22280, MPFR_RNDN); };
        return mpfr_get_d(r22281, MPFR_RNDN);
}

static mpfr_t r22282, r22283, r22284, r22285, r22286, r22287, r22288, r22289, r22290, r22291, r22292, r22293, r22294, r22295, r22296, r22297, r22298, r22299, r22300, r22301, r22302, r22303, r22304, r22305, r22306, r22307, r22308, r22309, r22310, r22311, r22312, r22313, r22314, r22315, r22316, r22317, r22318, r22319, r22320, r22321, r22322, r22323, r22324, r22325, r22326, r22327, r22328, r22329, r22330, r22331;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22282);
        mpfr_init_set_str(r22283, "2", 10, MPFR_RNDN);
        mpfr_init(r22284);
        mpfr_init(r22285);
        mpfr_init(r22286);
        mpfr_init_set_str(r22287, "-2.889955925598292e-237", 10, MPFR_RNDN);
        mpfr_init(r22288);
        mpfr_init(r22289);
        mpfr_init(r22290);
        mpfr_init(r22291);
        mpfr_init(r22292);
        mpfr_init(r22293);
        mpfr_init(r22294);
        mpfr_init(r22295);
        mpfr_init(r22296);
        mpfr_init(r22297);
        mpfr_init(r22298);
        mpfr_init(r22299);
        mpfr_init(r22300);
        mpfr_init(r22301);
        mpfr_init(r22302);
        mpfr_init(r22303);
        mpfr_init(r22304);
        mpfr_init(r22305);
        mpfr_init(r22306);
        mpfr_init_set_str(r22307, "0.0", 10, MPFR_RNDN);
        mpfr_init(r22308);
        mpfr_init(r22309);
        mpfr_init(r22310);
        mpfr_init(r22311);
        mpfr_init(r22312);
        mpfr_init(r22313);
        mpfr_init(r22314);
        mpfr_init(r22315);
        mpfr_init(r22316);
        mpfr_init(r22317);
        mpfr_init(r22318);
        mpfr_init(r22319);
        mpfr_init(r22320);
        mpfr_init(r22321);
        mpfr_init(r22322);
        mpfr_init(r22323);
        mpfr_init(r22324);
        mpfr_init(r22325);
        mpfr_init(r22326);
        mpfr_init(r22327);
        mpfr_init(r22328);
        mpfr_init(r22329);
        mpfr_init(r22330);
        mpfr_init(r22331);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r22282, n, MPFR_RNDN);
        ;
        mpfr_mul(r22284, r22282, r22283, MPFR_RNDN);
        mpfr_set_d(r22285, U, MPFR_RNDN);
        mpfr_mul(r22286, r22284, r22285, MPFR_RNDN);
        ;
        mpfr_set_si(r22288, mpfr_cmp(r22286, r22287) <= 0, MPFR_RNDN);
        mpfr_mul(r22289, r22283, r22282, MPFR_RNDN);
        mpfr_mul(r22290, r22289, r22285, MPFR_RNDN);
        mpfr_set_d(r22291, t, MPFR_RNDN);
        mpfr_set_d(r22292, l, MPFR_RNDN);
        mpfr_mul(r22293, r22292, r22292, MPFR_RNDN);
        mpfr_set_d(r22294, Om, MPFR_RNDN);
        mpfr_div(r22295, r22293, r22294, MPFR_RNDN);
        mpfr_mul(r22296, r22283, r22295, MPFR_RNDN);
        mpfr_sub(r22297, r22291, r22296, MPFR_RNDN);
        mpfr_div(r22298, r22292, r22294, MPFR_RNDN);
        mpfr_pow(r22299, r22298, r22283, MPFR_RNDN);
        mpfr_set_d(r22300, U_, MPFR_RNDN);
        mpfr_sub(r22301, r22285, r22300, MPFR_RNDN);
        mpfr_mul(r22302, r22299, r22301, MPFR_RNDN);
        mpfr_mul(r22303, r22282, r22302, MPFR_RNDN);
        mpfr_sub(r22304, r22297, r22303, MPFR_RNDN);
        mpfr_mul(r22305, r22290, r22304, MPFR_RNDN);
        mpfr_sqrt(r22306, r22305, MPFR_RNDN);
        ;
        mpfr_set_si(r22308, mpfr_cmp(r22286, r22307) <= 0, MPFR_RNDN);
        mpfr_div(r22309, r22294, r22292, MPFR_RNDN);
        mpfr_div(r22310, r22292, r22309, MPFR_RNDN);
        mpfr_mul(r22311, r22283, r22310, MPFR_RNDN);
        mpfr_sub(r22312, r22291, r22311, MPFR_RNDN);
        mpfr_div(r22313, r22294, r22282, MPFR_RNDN);
        mpfr_div(r22314, r22292, r22313, MPFR_RNDN);
        mpfr_cbrt(r22315, r22298, MPFR_RNDN);
        mpfr_mul(r22316, r22314, r22315, MPFR_RNDN);
        mpfr_pow(r22317, r22315, r22283, MPFR_RNDN);
        mpfr_mul(r22318, r22316, r22317, MPFR_RNDN);
        mpfr_mul(r22319, r22318, r22301, MPFR_RNDN);
        mpfr_sub(r22320, r22312, r22319, MPFR_RNDN);
        mpfr_mul(r22321, r22285, r22320, MPFR_RNDN);
        mpfr_mul(r22322, r22289, r22321, MPFR_RNDN);
        mpfr_sqrt(r22323, r22322, MPFR_RNDN);
        mpfr_sqrt(r22324, r22290, MPFR_RNDN);
        mpfr_mul(r22325, r22282, r22299, MPFR_RNDN);
        mpfr_mul(r22326, r22325, r22301, MPFR_RNDN);
        mpfr_sub(r22327, r22312, r22326, MPFR_RNDN);
        mpfr_sqrt(r22328, r22327, MPFR_RNDN);
        mpfr_mul(r22329, r22324, r22328, MPFR_RNDN);
        if (mpfr_get_si(r22308, MPFR_RNDN)) { mpfr_set(r22330, r22323, MPFR_RNDN); } else { mpfr_set(r22330, r22329, MPFR_RNDN); };
        if (mpfr_get_si(r22288, MPFR_RNDN)) { mpfr_set(r22331, r22306, MPFR_RNDN); } else { mpfr_set(r22331, r22330, MPFR_RNDN); };
        return mpfr_get_d(r22331, MPFR_RNDN);
}