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

char *name = "NMSE Section 6.1 mentioned, A";

double f_if(float x, float eps) {
        float r22037 = 1;
        float r22038 = eps;
        float r22039 = r22037 / r22038;
        float r22040 = r22037 + r22039;
        float r22041 = r22037 - r22038;
        float r22042 = x;
        float r22043 = r22041 * r22042;
        float r22044 = -r22043;
        float r22045 = exp(r22044);
        float r22046 = r22040 * r22045;
        float r22047 = r22039 - r22037;
        float r22048 = r22037 + r22038;
        float r22049 = r22048 * r22042;
        float r22050 = -r22049;
        float r22051 = exp(r22050);
        float r22052 = r22047 * r22051;
        float r22053 = r22046 - r22052;
        float r22054 = 2;
        float r22055 = r22053 / r22054;
        return r22055;
}

double f_id(double x, double eps) {
        double r22056 = 1;
        double r22057 = eps;
        double r22058 = r22056 / r22057;
        double r22059 = r22056 + r22058;
        double r22060 = r22056 - r22057;
        double r22061 = x;
        double r22062 = r22060 * r22061;
        double r22063 = -r22062;
        double r22064 = exp(r22063);
        double r22065 = r22059 * r22064;
        double r22066 = r22058 - r22056;
        double r22067 = r22056 + r22057;
        double r22068 = r22067 * r22061;
        double r22069 = -r22068;
        double r22070 = exp(r22069);
        double r22071 = r22066 * r22070;
        double r22072 = r22065 - r22071;
        double r22073 = 2;
        double r22074 = r22072 / r22073;
        return r22074;
}


double f_of(float x, float eps) {
        float r22075 = 1;
        float r22076 = eps;
        float r22077 = r22075 / r22076;
        float r22078 = r22075 + r22077;
        float r22079 = x;
        float r22080 = r22076 + r22075;
        float r22081 = r22079 * r22080;
        float r22082 = exp(r22081);
        float r22083 = r22078 * r22082;
        float r22084 = r22075 - r22076;
        float r22085 = r22084 * r22079;
        float r22086 = exp(r22085);
        float r22087 = r22077 - r22075;
        float r22088 = r22086 * r22087;
        float r22089 = r22083 - r22088;
        float r22090 = fma(r22075, r22079, r22079);
        float r22091 = exp(r22090);
        float r22092 = r22089 / r22091;
        float r22093 = 2;
        float r22094 = r22092 / r22093;
        float r22095 = 1.0;
        bool r22096 = r22094 <= r22095;
        float r22097 = 2/3;
        float r22098 = 3;
        float r22099 = pow(r22079, r22098);
        float r22100 = r22097 * r22099;
        float r22101 = exp(r22100);
        float r22102 = log(r22101);
        float r22103 = r22093 + r22102;
        float r22104 = pow(r22079, r22093);
        float r22105 = r22103 - r22104;
        float r22106 = r22105 / r22093;
        float r22107 = -r22079;
        float r22108 = r22084 * r22107;
        float r22109 = exp(r22108);
        float r22110 = r22078 * r22109;
        float r22111 = sqrt(r22110);
        float r22112 = r22111 * r22111;
        float r22113 = r22080 * r22107;
        float r22114 = exp(r22113);
        float r22115 = r22114 * r22087;
        float r22116 = r22112 - r22115;
        float r22117 = r22116 / r22093;
        float r22118 = r22096 ? r22106 : r22117;
        return r22118;
}

double f_od(double x, double eps) {
        double r22119 = 1;
        double r22120 = eps;
        double r22121 = r22119 / r22120;
        double r22122 = r22119 + r22121;
        double r22123 = x;
        double r22124 = r22120 + r22119;
        double r22125 = r22123 * r22124;
        double r22126 = exp(r22125);
        double r22127 = r22122 * r22126;
        double r22128 = r22119 - r22120;
        double r22129 = r22128 * r22123;
        double r22130 = exp(r22129);
        double r22131 = r22121 - r22119;
        double r22132 = r22130 * r22131;
        double r22133 = r22127 - r22132;
        double r22134 = fma(r22119, r22123, r22123);
        double r22135 = exp(r22134);
        double r22136 = r22133 / r22135;
        double r22137 = 2;
        double r22138 = r22136 / r22137;
        double r22139 = 1.0;
        bool r22140 = r22138 <= r22139;
        double r22141 = 2/3;
        double r22142 = 3;
        double r22143 = pow(r22123, r22142);
        double r22144 = r22141 * r22143;
        double r22145 = exp(r22144);
        double r22146 = log(r22145);
        double r22147 = r22137 + r22146;
        double r22148 = pow(r22123, r22137);
        double r22149 = r22147 - r22148;
        double r22150 = r22149 / r22137;
        double r22151 = -r22123;
        double r22152 = r22128 * r22151;
        double r22153 = exp(r22152);
        double r22154 = r22122 * r22153;
        double r22155 = sqrt(r22154);
        double r22156 = r22155 * r22155;
        double r22157 = r22124 * r22151;
        double r22158 = exp(r22157);
        double r22159 = r22158 * r22131;
        double r22160 = r22156 - r22159;
        double r22161 = r22160 / r22137;
        double r22162 = r22140 ? r22150 : r22161;
        return r22162;
}

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 r22163, r22164, r22165, r22166, r22167, r22168, r22169, r22170, r22171, r22172, r22173, r22174, r22175, r22176, r22177, r22178, r22179, r22180, r22181;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r22163, "1", 10, MPFR_RNDN);
        mpfr_init(r22164);
        mpfr_init(r22165);
        mpfr_init(r22166);
        mpfr_init(r22167);
        mpfr_init(r22168);
        mpfr_init(r22169);
        mpfr_init(r22170);
        mpfr_init(r22171);
        mpfr_init(r22172);
        mpfr_init(r22173);
        mpfr_init(r22174);
        mpfr_init(r22175);
        mpfr_init(r22176);
        mpfr_init(r22177);
        mpfr_init(r22178);
        mpfr_init(r22179);
        mpfr_init_set_str(r22180, "2", 10, MPFR_RNDN);
        mpfr_init(r22181);
}

double f_im(double x, double eps) {
        ;
        mpfr_set_d(r22164, eps, MPFR_RNDN);
        mpfr_div(r22165, r22163, r22164, MPFR_RNDN);
        mpfr_add(r22166, r22163, r22165, MPFR_RNDN);
        mpfr_sub(r22167, r22163, r22164, MPFR_RNDN);
        mpfr_set_d(r22168, x, MPFR_RNDN);
        mpfr_mul(r22169, r22167, r22168, MPFR_RNDN);
        mpfr_neg(r22170, r22169, MPFR_RNDN);
        mpfr_exp(r22171, r22170, MPFR_RNDN);
        mpfr_mul(r22172, r22166, r22171, MPFR_RNDN);
        mpfr_sub(r22173, r22165, r22163, MPFR_RNDN);
        mpfr_add(r22174, r22163, r22164, MPFR_RNDN);
        mpfr_mul(r22175, r22174, r22168, MPFR_RNDN);
        mpfr_neg(r22176, r22175, MPFR_RNDN);
        mpfr_exp(r22177, r22176, MPFR_RNDN);
        mpfr_mul(r22178, r22173, r22177, MPFR_RNDN);
        mpfr_sub(r22179, r22172, r22178, MPFR_RNDN);
        ;
        mpfr_div(r22181, r22179, r22180, MPFR_RNDN);
        return mpfr_get_d(r22181, MPFR_RNDN);
}

static mpfr_t r22182, r22183, r22184, r22185, r22186, r22187, r22188, r22189, r22190, r22191, r22192, r22193, r22194, r22195, r22196, r22197, r22198, r22199, r22200, r22201, r22202, r22203, r22204, r22205, r22206, r22207, r22208, r22209, r22210, r22211, r22212, r22213, r22214, r22215, r22216, r22217, r22218, r22219, r22220, r22221, r22222, r22223, r22224, r22225;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r22182, "1", 10, MPFR_RNDN);
        mpfr_init(r22183);
        mpfr_init(r22184);
        mpfr_init(r22185);
        mpfr_init(r22186);
        mpfr_init(r22187);
        mpfr_init(r22188);
        mpfr_init(r22189);
        mpfr_init(r22190);
        mpfr_init(r22191);
        mpfr_init(r22192);
        mpfr_init(r22193);
        mpfr_init(r22194);
        mpfr_init(r22195);
        mpfr_init(r22196);
        mpfr_init(r22197);
        mpfr_init(r22198);
        mpfr_init(r22199);
        mpfr_init_set_str(r22200, "2", 10, MPFR_RNDN);
        mpfr_init(r22201);
        mpfr_init_set_str(r22202, "1.0", 10, MPFR_RNDN);
        mpfr_init(r22203);
        mpfr_init_set_str(r22204, "2/3", 10, MPFR_RNDN);
        mpfr_init_set_str(r22205, "3", 10, MPFR_RNDN);
        mpfr_init(r22206);
        mpfr_init(r22207);
        mpfr_init(r22208);
        mpfr_init(r22209);
        mpfr_init(r22210);
        mpfr_init(r22211);
        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);
}

double f_fm(double x, double eps) {
        ;
        mpfr_set_d(r22183, eps, MPFR_RNDN);
        mpfr_div(r22184, r22182, r22183, MPFR_RNDN);
        mpfr_add(r22185, r22182, r22184, MPFR_RNDN);
        mpfr_set_d(r22186, x, MPFR_RNDN);
        mpfr_add(r22187, r22183, r22182, MPFR_RNDN);
        mpfr_mul(r22188, r22186, r22187, MPFR_RNDN);
        mpfr_exp(r22189, r22188, MPFR_RNDN);
        mpfr_mul(r22190, r22185, r22189, MPFR_RNDN);
        mpfr_sub(r22191, r22182, r22183, MPFR_RNDN);
        mpfr_mul(r22192, r22191, r22186, MPFR_RNDN);
        mpfr_exp(r22193, r22192, MPFR_RNDN);
        mpfr_sub(r22194, r22184, r22182, MPFR_RNDN);
        mpfr_mul(r22195, r22193, r22194, MPFR_RNDN);
        mpfr_sub(r22196, r22190, r22195, MPFR_RNDN);
        mpfr_fma(r22197, r22182, r22186, r22186, MPFR_RNDN);
        mpfr_exp(r22198, r22197, MPFR_RNDN);
        mpfr_div(r22199, r22196, r22198, MPFR_RNDN);
        ;
        mpfr_div(r22201, r22199, r22200, MPFR_RNDN);
        ;
        mpfr_set_si(r22203, mpfr_cmp(r22201, r22202) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_pow(r22206, r22186, r22205, MPFR_RNDN);
        mpfr_mul(r22207, r22204, r22206, MPFR_RNDN);
        mpfr_exp(r22208, r22207, MPFR_RNDN);
        mpfr_log(r22209, r22208, MPFR_RNDN);
        mpfr_add(r22210, r22200, r22209, MPFR_RNDN);
        mpfr_pow(r22211, r22186, r22200, MPFR_RNDN);
        mpfr_sub(r22212, r22210, r22211, MPFR_RNDN);
        mpfr_div(r22213, r22212, r22200, MPFR_RNDN);
        mpfr_neg(r22214, r22186, MPFR_RNDN);
        mpfr_mul(r22215, r22191, r22214, MPFR_RNDN);
        mpfr_exp(r22216, r22215, MPFR_RNDN);
        mpfr_mul(r22217, r22185, r22216, MPFR_RNDN);
        mpfr_sqrt(r22218, r22217, MPFR_RNDN);
        mpfr_mul(r22219, r22218, r22218, MPFR_RNDN);
        mpfr_mul(r22220, r22187, r22214, MPFR_RNDN);
        mpfr_exp(r22221, r22220, MPFR_RNDN);
        mpfr_mul(r22222, r22221, r22194, MPFR_RNDN);
        mpfr_sub(r22223, r22219, r22222, MPFR_RNDN);
        mpfr_div(r22224, r22223, r22200, MPFR_RNDN);
        if (mpfr_get_si(r22203, MPFR_RNDN)) { mpfr_set(r22225, r22213, MPFR_RNDN); } else { mpfr_set(r22225, r22224, MPFR_RNDN); };
        return mpfr_get_d(r22225, MPFR_RNDN);
}

static mpfr_t r22226, r22227, r22228, r22229, r22230, r22231, 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;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r22226, "1", 10, MPFR_RNDN);
        mpfr_init(r22227);
        mpfr_init(r22228);
        mpfr_init(r22229);
        mpfr_init(r22230);
        mpfr_init(r22231);
        mpfr_init(r22232);
        mpfr_init(r22233);
        mpfr_init(r22234);
        mpfr_init(r22235);
        mpfr_init(r22236);
        mpfr_init(r22237);
        mpfr_init(r22238);
        mpfr_init(r22239);
        mpfr_init(r22240);
        mpfr_init(r22241);
        mpfr_init(r22242);
        mpfr_init(r22243);
        mpfr_init_set_str(r22244, "2", 10, MPFR_RNDN);
        mpfr_init(r22245);
        mpfr_init_set_str(r22246, "1.0", 10, MPFR_RNDN);
        mpfr_init(r22247);
        mpfr_init_set_str(r22248, "2/3", 10, MPFR_RNDN);
        mpfr_init_set_str(r22249, "3", 10, MPFR_RNDN);
        mpfr_init(r22250);
        mpfr_init(r22251);
        mpfr_init(r22252);
        mpfr_init(r22253);
        mpfr_init(r22254);
        mpfr_init(r22255);
        mpfr_init(r22256);
        mpfr_init(r22257);
        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);
}

double f_dm(double x, double eps) {
        ;
        mpfr_set_d(r22227, eps, MPFR_RNDN);
        mpfr_div(r22228, r22226, r22227, MPFR_RNDN);
        mpfr_add(r22229, r22226, r22228, MPFR_RNDN);
        mpfr_set_d(r22230, x, MPFR_RNDN);
        mpfr_add(r22231, r22227, r22226, MPFR_RNDN);
        mpfr_mul(r22232, r22230, r22231, MPFR_RNDN);
        mpfr_exp(r22233, r22232, MPFR_RNDN);
        mpfr_mul(r22234, r22229, r22233, MPFR_RNDN);
        mpfr_sub(r22235, r22226, r22227, MPFR_RNDN);
        mpfr_mul(r22236, r22235, r22230, MPFR_RNDN);
        mpfr_exp(r22237, r22236, MPFR_RNDN);
        mpfr_sub(r22238, r22228, r22226, MPFR_RNDN);
        mpfr_mul(r22239, r22237, r22238, MPFR_RNDN);
        mpfr_sub(r22240, r22234, r22239, MPFR_RNDN);
        mpfr_fma(r22241, r22226, r22230, r22230, MPFR_RNDN);
        mpfr_exp(r22242, r22241, MPFR_RNDN);
        mpfr_div(r22243, r22240, r22242, MPFR_RNDN);
        ;
        mpfr_div(r22245, r22243, r22244, MPFR_RNDN);
        ;
        mpfr_set_si(r22247, mpfr_cmp(r22245, r22246) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_pow(r22250, r22230, r22249, MPFR_RNDN);
        mpfr_mul(r22251, r22248, r22250, MPFR_RNDN);
        mpfr_exp(r22252, r22251, MPFR_RNDN);
        mpfr_log(r22253, r22252, MPFR_RNDN);
        mpfr_add(r22254, r22244, r22253, MPFR_RNDN);
        mpfr_pow(r22255, r22230, r22244, MPFR_RNDN);
        mpfr_sub(r22256, r22254, r22255, MPFR_RNDN);
        mpfr_div(r22257, r22256, r22244, MPFR_RNDN);
        mpfr_neg(r22258, r22230, MPFR_RNDN);
        mpfr_mul(r22259, r22235, r22258, MPFR_RNDN);
        mpfr_exp(r22260, r22259, MPFR_RNDN);
        mpfr_mul(r22261, r22229, r22260, MPFR_RNDN);
        mpfr_sqrt(r22262, r22261, MPFR_RNDN);
        mpfr_mul(r22263, r22262, r22262, MPFR_RNDN);
        mpfr_mul(r22264, r22231, r22258, MPFR_RNDN);
        mpfr_exp(r22265, r22264, MPFR_RNDN);
        mpfr_mul(r22266, r22265, r22238, MPFR_RNDN);
        mpfr_sub(r22267, r22263, r22266, MPFR_RNDN);
        mpfr_div(r22268, r22267, r22244, MPFR_RNDN);
        if (mpfr_get_si(r22247, MPFR_RNDN)) { mpfr_set(r22269, r22257, MPFR_RNDN); } else { mpfr_set(r22269, r22268, MPFR_RNDN); };
        return mpfr_get_d(r22269, MPFR_RNDN);
}

