#include #include #include #include #include char *name = "NMSE Section 6.1 mentioned, A"; double f_if(float x, float eps) { float r22080 = 1; float r22081 = eps; float r22082 = r22080 / r22081; float r22083 = r22080 + r22082; float r22084 = r22080 - r22081; float r22085 = x; float r22086 = r22084 * r22085; float r22087 = -r22086; float r22088 = exp(r22087); float r22089 = r22083 * r22088; float r22090 = r22082 - r22080; float r22091 = r22080 + r22081; float r22092 = r22091 * r22085; float r22093 = -r22092; float r22094 = exp(r22093); float r22095 = r22090 * r22094; float r22096 = r22089 - r22095; float r22097 = 2; float r22098 = r22096 / r22097; return r22098; } double f_id(double x, double eps) { double r22099 = 1; double r22100 = eps; double r22101 = r22099 / r22100; double r22102 = r22099 + r22101; double r22103 = r22099 - r22100; double r22104 = x; double r22105 = r22103 * r22104; double r22106 = -r22105; double r22107 = exp(r22106); double r22108 = r22102 * r22107; double r22109 = r22101 - r22099; double r22110 = r22099 + r22100; double r22111 = r22110 * r22104; double r22112 = -r22111; double r22113 = exp(r22112); double r22114 = r22109 * r22113; double r22115 = r22108 - r22114; double r22116 = 2; double r22117 = r22115 / r22116; return r22117; } double f_of(float x, float eps) { float r22118 = x; float r22119 = 9.995613059771124; bool r22120 = r22118 <= r22119; float r22121 = 2; float r22122 = 2/3; float r22123 = 3; float r22124 = pow(r22118, r22123); float r22125 = r22122 * r22124; float r22126 = exp(r22125); float r22127 = log(r22126); float r22128 = r22121 + r22127; float r22129 = pow(r22118, r22121); float r22130 = r22128 - r22129; float r22131 = r22130 / r22121; float r22132 = 1; float r22133 = eps; float r22134 = r22132 / r22133; float r22135 = r22132 + r22134; float r22136 = r22132 - r22133; float r22137 = r22136 * r22118; float r22138 = -r22137; float r22139 = exp(r22138); float r22140 = r22135 * r22139; float r22141 = r22134 - r22132; float r22142 = r22132 + r22133; float r22143 = r22142 * r22118; float r22144 = -r22143; float r22145 = exp(r22144); float r22146 = r22141 * r22145; float r22147 = r22140 - r22146; float r22148 = log(r22147); float r22149 = exp(r22148); float r22150 = r22149 / r22121; float r22151 = r22120 ? r22131 : r22150; return r22151; } double f_od(double x, double eps) { double r22152 = x; double r22153 = 9.995613059771124; bool r22154 = r22152 <= r22153; double r22155 = 2; double r22156 = 2/3; double r22157 = 3; double r22158 = pow(r22152, r22157); double r22159 = r22156 * r22158; double r22160 = exp(r22159); double r22161 = log(r22160); double r22162 = r22155 + r22161; double r22163 = pow(r22152, r22155); double r22164 = r22162 - r22163; double r22165 = r22164 / r22155; double r22166 = 1; double r22167 = eps; double r22168 = r22166 / r22167; double r22169 = r22166 + r22168; double r22170 = r22166 - r22167; double r22171 = r22170 * r22152; double r22172 = -r22171; double r22173 = exp(r22172); double r22174 = r22169 * r22173; double r22175 = r22168 - r22166; double r22176 = r22166 + r22167; double r22177 = r22176 * r22152; double r22178 = -r22177; double r22179 = exp(r22178); double r22180 = r22175 * r22179; double r22181 = r22174 - r22180; double r22182 = log(r22181); double r22183 = exp(r22182); double r22184 = r22183 / r22155; double r22185 = r22154 ? r22165 : r22184; return r22185; } 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 r22186, r22187, r22188, r22189, r22190, r22191, r22192, r22193, r22194, r22195, r22196, r22197, r22198, r22199, r22200, r22201, r22202, r22203, r22204; void setup_mpfr_f_im() { mpfr_set_default_prec(1360); mpfr_init_set_str(r22186, "1", 10, MPFR_RNDN); 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(r22200); mpfr_init(r22201); mpfr_init(r22202); mpfr_init_set_str(r22203, "2", 10, MPFR_RNDN); mpfr_init(r22204); } double f_im(double x, double eps) { ; mpfr_set_d(r22187, eps, MPFR_RNDN); mpfr_div(r22188, r22186, r22187, MPFR_RNDN); mpfr_add(r22189, r22186, r22188, MPFR_RNDN); mpfr_sub(r22190, r22186, r22187, MPFR_RNDN); mpfr_set_d(r22191, x, MPFR_RNDN); mpfr_mul(r22192, r22190, r22191, MPFR_RNDN); mpfr_neg(r22193, r22192, MPFR_RNDN); mpfr_exp(r22194, r22193, MPFR_RNDN); mpfr_mul(r22195, r22189, r22194, MPFR_RNDN); mpfr_sub(r22196, r22188, r22186, MPFR_RNDN); mpfr_add(r22197, r22186, r22187, MPFR_RNDN); mpfr_mul(r22198, r22197, r22191, MPFR_RNDN); mpfr_neg(r22199, r22198, MPFR_RNDN); mpfr_exp(r22200, r22199, MPFR_RNDN); mpfr_mul(r22201, r22196, r22200, MPFR_RNDN); mpfr_sub(r22202, r22195, r22201, MPFR_RNDN); ; mpfr_div(r22204, r22202, r22203, MPFR_RNDN); return mpfr_get_d(r22204, MPFR_RNDN); } static mpfr_t r22205, r22206, r22207, r22208, r22209, r22210, r22211, r22212, r22213, r22214, r22215, r22216, r22217, r22218, r22219, r22220, r22221, r22222, r22223, r22224, r22225, r22226, r22227, r22228, r22229, r22230, r22231, r22232, r22233, r22234, r22235, r22236, r22237, r22238; void setup_mpfr_f_fm() { mpfr_set_default_prec(1360); mpfr_init(r22205); mpfr_init_set_str(r22206, "9.995613059771124", 10, MPFR_RNDN); mpfr_init(r22207); mpfr_init_set_str(r22208, "2", 10, MPFR_RNDN); mpfr_init_set_str(r22209, "2/3", 10, MPFR_RNDN); mpfr_init_set_str(r22210, "3", 10, MPFR_RNDN); 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_set_str(r22219, "1", 10, MPFR_RNDN); 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); mpfr_init(r22232); mpfr_init(r22233); mpfr_init(r22234); mpfr_init(r22235); mpfr_init(r22236); mpfr_init(r22237); mpfr_init(r22238); } double f_fm(double x, double eps) { mpfr_set_d(r22205, x, MPFR_RNDN); ; mpfr_set_si(r22207, mpfr_cmp(r22205, r22206) <= 0, MPFR_RNDN); ; ; ; mpfr_pow(r22211, r22205, r22210, MPFR_RNDN); mpfr_mul(r22212, r22209, r22211, MPFR_RNDN); mpfr_exp(r22213, r22212, MPFR_RNDN); mpfr_log(r22214, r22213, MPFR_RNDN); mpfr_add(r22215, r22208, r22214, MPFR_RNDN); mpfr_pow(r22216, r22205, r22208, MPFR_RNDN); mpfr_sub(r22217, r22215, r22216, MPFR_RNDN); mpfr_div(r22218, r22217, r22208, MPFR_RNDN); ; mpfr_set_d(r22220, eps, MPFR_RNDN); mpfr_div(r22221, r22219, r22220, MPFR_RNDN); mpfr_add(r22222, r22219, r22221, MPFR_RNDN); mpfr_sub(r22223, r22219, r22220, MPFR_RNDN); mpfr_mul(r22224, r22223, r22205, MPFR_RNDN); mpfr_neg(r22225, r22224, MPFR_RNDN); mpfr_exp(r22226, r22225, MPFR_RNDN); mpfr_mul(r22227, r22222, r22226, MPFR_RNDN); mpfr_sub(r22228, r22221, r22219, MPFR_RNDN); mpfr_add(r22229, r22219, r22220, MPFR_RNDN); mpfr_mul(r22230, r22229, r22205, MPFR_RNDN); mpfr_neg(r22231, r22230, MPFR_RNDN); mpfr_exp(r22232, r22231, MPFR_RNDN); mpfr_mul(r22233, r22228, r22232, MPFR_RNDN); mpfr_sub(r22234, r22227, r22233, MPFR_RNDN); mpfr_log(r22235, r22234, MPFR_RNDN); mpfr_exp(r22236, r22235, MPFR_RNDN); mpfr_div(r22237, r22236, r22208, MPFR_RNDN); if (mpfr_get_si(r22207, MPFR_RNDN)) { mpfr_set(r22238, r22218, MPFR_RNDN); } else { mpfr_set(r22238, r22237, MPFR_RNDN); }; return mpfr_get_d(r22238, MPFR_RNDN); } static mpfr_t 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; void setup_mpfr_f_dm() { mpfr_set_default_prec(1360); mpfr_init(r22239); mpfr_init_set_str(r22240, "9.995613059771124", 10, MPFR_RNDN); mpfr_init(r22241); mpfr_init_set_str(r22242, "2", 10, MPFR_RNDN); mpfr_init_set_str(r22243, "2/3", 10, MPFR_RNDN); mpfr_init_set_str(r22244, "3", 10, MPFR_RNDN); 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_set_str(r22253, "1", 10, MPFR_RNDN); 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); mpfr_init(r22270); mpfr_init(r22271); mpfr_init(r22272); } double f_dm(double x, double eps) { mpfr_set_d(r22239, x, MPFR_RNDN); ; mpfr_set_si(r22241, mpfr_cmp(r22239, r22240) <= 0, MPFR_RNDN); ; ; ; mpfr_pow(r22245, r22239, r22244, MPFR_RNDN); mpfr_mul(r22246, r22243, r22245, MPFR_RNDN); mpfr_exp(r22247, r22246, MPFR_RNDN); mpfr_log(r22248, r22247, MPFR_RNDN); mpfr_add(r22249, r22242, r22248, MPFR_RNDN); mpfr_pow(r22250, r22239, r22242, MPFR_RNDN); mpfr_sub(r22251, r22249, r22250, MPFR_RNDN); mpfr_div(r22252, r22251, r22242, MPFR_RNDN); ; mpfr_set_d(r22254, eps, MPFR_RNDN); mpfr_div(r22255, r22253, r22254, MPFR_RNDN); mpfr_add(r22256, r22253, r22255, MPFR_RNDN); mpfr_sub(r22257, r22253, r22254, MPFR_RNDN); mpfr_mul(r22258, r22257, r22239, MPFR_RNDN); mpfr_neg(r22259, r22258, MPFR_RNDN); mpfr_exp(r22260, r22259, MPFR_RNDN); mpfr_mul(r22261, r22256, r22260, MPFR_RNDN); mpfr_sub(r22262, r22255, r22253, MPFR_RNDN); mpfr_add(r22263, r22253, r22254, MPFR_RNDN); mpfr_mul(r22264, r22263, r22239, MPFR_RNDN); mpfr_neg(r22265, r22264, MPFR_RNDN); mpfr_exp(r22266, r22265, MPFR_RNDN); mpfr_mul(r22267, r22262, r22266, MPFR_RNDN); mpfr_sub(r22268, r22261, r22267, MPFR_RNDN); mpfr_log(r22269, r22268, MPFR_RNDN); mpfr_exp(r22270, r22269, MPFR_RNDN); mpfr_div(r22271, r22270, r22242, MPFR_RNDN); if (mpfr_get_si(r22241, MPFR_RNDN)) { mpfr_set(r22272, r22252, MPFR_RNDN); } else { mpfr_set(r22272, r22271, MPFR_RNDN); }; return mpfr_get_d(r22272, MPFR_RNDN); }