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

char *name = "NMSE problem 3.4.2";

double f_if(float a, float b, float eps) {
        float r16158 = eps;
        float r16159 = a;
        float r16160 = b;
        float r16161 = r16159 + r16160;
        float r16162 = r16161 * r16158;
        float r16163 = exp(r16162);
        float r16164 = 1.0f;
        float r16165 = r16163 - r16164;
        float r16166 = r16158 * r16165;
        float r16167 = r16159 * r16158;
        float r16168 = exp(r16167);
        float r16169 = r16168 - r16164;
        float r16170 = r16160 * r16158;
        float r16171 = exp(r16170);
        float r16172 = r16171 - r16164;
        float r16173 = r16169 * r16172;
        float r16174 = r16166 / r16173;
        return r16174;
}

double f_id(double a, double b, double eps) {
        double r16175 = eps;
        double r16176 = a;
        double r16177 = b;
        double r16178 = r16176 + r16177;
        double r16179 = r16178 * r16175;
        double r16180 = exp(r16179);
        double r16181 = 1.0;
        double r16182 = r16180 - r16181;
        double r16183 = r16175 * r16182;
        double r16184 = r16176 * r16175;
        double r16185 = exp(r16184);
        double r16186 = r16185 - r16181;
        double r16187 = r16177 * r16175;
        double r16188 = exp(r16187);
        double r16189 = r16188 - r16181;
        double r16190 = r16186 * r16189;
        double r16191 = r16183 / r16190;
        return r16191;
}


double f_of(float a, float b, float eps) {
        float r16192 = eps;
        float r16193 = a;
        float r16194 = b;
        float r16195 = r16193 + r16194;
        float r16196 = r16195 * r16192;
        float r16197 = exp(r16196);
        float r16198 = 1.0f;
        float r16199 = r16197 - r16198;
        float r16200 = r16192 * r16199;
        float r16201 = r16193 * r16192;
        float r16202 = exp(r16201);
        float r16203 = r16202 - r16198;
        float r16204 = r16194 * r16192;
        float r16205 = exp(r16204);
        float r16206 = r16205 - r16198;
        float r16207 = r16203 * r16206;
        float r16208 = r16200 / r16207;
        float r16209 = 0.0f;
        bool r16210 = r16208 <= r16209;
        float r16211 = r16198 / r16194;
        float r16212 = r16198 / r16193;
        float r16213 = r16211 + r16212;
        float r16214 = 4.8088960053893386e-148f;
        bool r16215 = r16208 <= r16214;
        float r16216 = r16215 ? r16213 : r16213;
        float r16217 = r16210 ? r16213 : r16216;
        return r16217;
}

double f_od(double a, double b, double eps) {
        double r16218 = eps;
        double r16219 = a;
        double r16220 = b;
        double r16221 = r16219 + r16220;
        double r16222 = r16221 * r16218;
        double r16223 = exp(r16222);
        double r16224 = 1.0;
        double r16225 = r16223 - r16224;
        double r16226 = r16218 * r16225;
        double r16227 = r16219 * r16218;
        double r16228 = exp(r16227);
        double r16229 = r16228 - r16224;
        double r16230 = r16220 * r16218;
        double r16231 = exp(r16230);
        double r16232 = r16231 - r16224;
        double r16233 = r16229 * r16232;
        double r16234 = r16226 / r16233;
        double r16235 = 0.0;
        bool r16236 = r16234 <= r16235;
        double r16237 = r16224 / r16220;
        double r16238 = r16224 / r16219;
        double r16239 = r16237 + r16238;
        double r16240 = 4.8088960053893386e-148;
        bool r16241 = r16234 <= r16240;
        double r16242 = r16241 ? r16239 : r16239;
        double r16243 = r16236 ? r16239 : r16242;
        return r16243;
}

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 r16244, r16245, r16246, r16247, r16248, r16249, r16250, r16251, r16252, r16253, r16254, r16255, r16256, r16257, r16258, r16259, r16260;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16244);
        mpfr_init(r16245);
        mpfr_init(r16246);
        mpfr_init(r16247);
        mpfr_init(r16248);
        mpfr_init(r16249);
        mpfr_init_set_str(r16250, "1", 10, MPFR_RNDN);
        mpfr_init(r16251);
        mpfr_init(r16252);
        mpfr_init(r16253);
        mpfr_init(r16254);
        mpfr_init(r16255);
        mpfr_init(r16256);
        mpfr_init(r16257);
        mpfr_init(r16258);
        mpfr_init(r16259);
        mpfr_init(r16260);
}

double f_im(double a, double b, double eps) {
        mpfr_set_d(r16244, eps, MPFR_RNDN);
        mpfr_set_d(r16245, a, MPFR_RNDN);
        mpfr_set_d(r16246, b, MPFR_RNDN);
        mpfr_add(r16247, r16245, r16246, MPFR_RNDN);
        mpfr_mul(r16248, r16247, r16244, MPFR_RNDN);
        mpfr_exp(r16249, r16248, MPFR_RNDN);
        ;
        mpfr_sub(r16251, r16249, r16250, MPFR_RNDN);
        mpfr_mul(r16252, r16244, r16251, MPFR_RNDN);
        mpfr_mul(r16253, r16245, r16244, MPFR_RNDN);
        mpfr_exp(r16254, r16253, MPFR_RNDN);
        mpfr_sub(r16255, r16254, r16250, MPFR_RNDN);
        mpfr_mul(r16256, r16246, r16244, MPFR_RNDN);
        mpfr_exp(r16257, r16256, MPFR_RNDN);
        mpfr_sub(r16258, r16257, r16250, MPFR_RNDN);
        mpfr_mul(r16259, r16255, r16258, MPFR_RNDN);
        mpfr_div(r16260, r16252, r16259, MPFR_RNDN);
        return mpfr_get_d(r16260, MPFR_RNDN);
}

static mpfr_t r16261, r16262, r16263, r16264, r16265, r16266, r16267, r16268, r16269, r16270, r16271, r16272, r16273, r16274, r16275, r16276, r16277, r16278, r16279, r16280, r16281, r16282, r16283, r16284, r16285, r16286;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16261);
        mpfr_init(r16262);
        mpfr_init(r16263);
        mpfr_init(r16264);
        mpfr_init(r16265);
        mpfr_init(r16266);
        mpfr_init_set_str(r16267, "1", 10, MPFR_RNDN);
        mpfr_init(r16268);
        mpfr_init(r16269);
        mpfr_init(r16270);
        mpfr_init(r16271);
        mpfr_init(r16272);
        mpfr_init(r16273);
        mpfr_init(r16274);
        mpfr_init(r16275);
        mpfr_init(r16276);
        mpfr_init(r16277);
        mpfr_init_set_str(r16278, "0.0", 10, MPFR_RNDN);
        mpfr_init(r16279);
        mpfr_init(r16280);
        mpfr_init(r16281);
        mpfr_init(r16282);
        mpfr_init_set_str(r16283, "4.8088960053893386e-148", 10, MPFR_RNDN);
        mpfr_init(r16284);
        mpfr_init(r16285);
        mpfr_init(r16286);
}

double f_fm(double a, double b, double eps) {
        mpfr_set_d(r16261, eps, MPFR_RNDN);
        mpfr_set_d(r16262, a, MPFR_RNDN);
        mpfr_set_d(r16263, b, MPFR_RNDN);
        mpfr_add(r16264, r16262, r16263, MPFR_RNDN);
        mpfr_mul(r16265, r16264, r16261, MPFR_RNDN);
        mpfr_exp(r16266, r16265, MPFR_RNDN);
        ;
        mpfr_sub(r16268, r16266, r16267, MPFR_RNDN);
        mpfr_mul(r16269, r16261, r16268, MPFR_RNDN);
        mpfr_mul(r16270, r16262, r16261, MPFR_RNDN);
        mpfr_exp(r16271, r16270, MPFR_RNDN);
        mpfr_sub(r16272, r16271, r16267, MPFR_RNDN);
        mpfr_mul(r16273, r16263, r16261, MPFR_RNDN);
        mpfr_exp(r16274, r16273, MPFR_RNDN);
        mpfr_sub(r16275, r16274, r16267, MPFR_RNDN);
        mpfr_mul(r16276, r16272, r16275, MPFR_RNDN);
        mpfr_div(r16277, r16269, r16276, MPFR_RNDN);
        ;
        mpfr_set_si(r16279, mpfr_cmp(r16277, r16278) <= 0, MPFR_RNDN);
        mpfr_div(r16280, r16267, r16263, MPFR_RNDN);
        mpfr_div(r16281, r16267, r16262, MPFR_RNDN);
        mpfr_add(r16282, r16280, r16281, MPFR_RNDN);
        ;
        mpfr_set_si(r16284, mpfr_cmp(r16277, r16283) <= 0, MPFR_RNDN);
        if (mpfr_get_si(r16284, MPFR_RNDN)) { mpfr_set(r16285, r16282, MPFR_RNDN); } else { mpfr_set(r16285, r16282, MPFR_RNDN); };
        if (mpfr_get_si(r16279, MPFR_RNDN)) { mpfr_set(r16286, r16282, MPFR_RNDN); } else { mpfr_set(r16286, r16285, MPFR_RNDN); };
        return mpfr_get_d(r16286, MPFR_RNDN);
}

static mpfr_t r16287, r16288, r16289, r16290, r16291, r16292, r16293, r16294, r16295, r16296, r16297, r16298, r16299, r16300, r16301, r16302, r16303, r16304, r16305, r16306, r16307, r16308, r16309, r16310, r16311, r16312;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16287);
        mpfr_init(r16288);
        mpfr_init(r16289);
        mpfr_init(r16290);
        mpfr_init(r16291);
        mpfr_init(r16292);
        mpfr_init_set_str(r16293, "1", 10, MPFR_RNDN);
        mpfr_init(r16294);
        mpfr_init(r16295);
        mpfr_init(r16296);
        mpfr_init(r16297);
        mpfr_init(r16298);
        mpfr_init(r16299);
        mpfr_init(r16300);
        mpfr_init(r16301);
        mpfr_init(r16302);
        mpfr_init(r16303);
        mpfr_init_set_str(r16304, "0.0", 10, MPFR_RNDN);
        mpfr_init(r16305);
        mpfr_init(r16306);
        mpfr_init(r16307);
        mpfr_init(r16308);
        mpfr_init_set_str(r16309, "4.8088960053893386e-148", 10, MPFR_RNDN);
        mpfr_init(r16310);
        mpfr_init(r16311);
        mpfr_init(r16312);
}

double f_dm(double a, double b, double eps) {
        mpfr_set_d(r16287, eps, MPFR_RNDN);
        mpfr_set_d(r16288, a, MPFR_RNDN);
        mpfr_set_d(r16289, b, MPFR_RNDN);
        mpfr_add(r16290, r16288, r16289, MPFR_RNDN);
        mpfr_mul(r16291, r16290, r16287, MPFR_RNDN);
        mpfr_exp(r16292, r16291, MPFR_RNDN);
        ;
        mpfr_sub(r16294, r16292, r16293, MPFR_RNDN);
        mpfr_mul(r16295, r16287, r16294, MPFR_RNDN);
        mpfr_mul(r16296, r16288, r16287, MPFR_RNDN);
        mpfr_exp(r16297, r16296, MPFR_RNDN);
        mpfr_sub(r16298, r16297, r16293, MPFR_RNDN);
        mpfr_mul(r16299, r16289, r16287, MPFR_RNDN);
        mpfr_exp(r16300, r16299, MPFR_RNDN);
        mpfr_sub(r16301, r16300, r16293, MPFR_RNDN);
        mpfr_mul(r16302, r16298, r16301, MPFR_RNDN);
        mpfr_div(r16303, r16295, r16302, MPFR_RNDN);
        ;
        mpfr_set_si(r16305, mpfr_cmp(r16303, r16304) <= 0, MPFR_RNDN);
        mpfr_div(r16306, r16293, r16289, MPFR_RNDN);
        mpfr_div(r16307, r16293, r16288, MPFR_RNDN);
        mpfr_add(r16308, r16306, r16307, MPFR_RNDN);
        ;
        mpfr_set_si(r16310, mpfr_cmp(r16303, r16309) <= 0, MPFR_RNDN);
        if (mpfr_get_si(r16310, MPFR_RNDN)) { mpfr_set(r16311, r16308, MPFR_RNDN); } else { mpfr_set(r16311, r16308, MPFR_RNDN); };
        if (mpfr_get_si(r16305, MPFR_RNDN)) { mpfr_set(r16312, r16308, MPFR_RNDN); } else { mpfr_set(r16312, r16311, MPFR_RNDN); };
        return mpfr_get_d(r16312, MPFR_RNDN);
}

