#include #include #include #include #include char *name = "NMSE Section 6.1 mentioned, A"; double f_if(float x, float eps) { float r22029 = 1; float r22030 = eps; float r22031 = r22029 / r22030; float r22032 = r22029 + r22031; float r22033 = r22029 - r22030; float r22034 = x; float r22035 = r22033 * r22034; float r22036 = -r22035; float r22037 = exp(r22036); float r22038 = r22032 * r22037; float r22039 = r22031 - r22029; float r22040 = r22029 + r22030; float r22041 = r22040 * r22034; float r22042 = -r22041; float r22043 = exp(r22042); float r22044 = r22039 * r22043; float r22045 = r22038 - r22044; float r22046 = 2; float r22047 = r22045 / r22046; return r22047; } double f_id(double x, double eps) { double r22048 = 1; double r22049 = eps; double r22050 = r22048 / r22049; double r22051 = r22048 + r22050; double r22052 = r22048 - r22049; double r22053 = x; double r22054 = r22052 * r22053; double r22055 = -r22054; double r22056 = exp(r22055); double r22057 = r22051 * r22056; double r22058 = r22050 - r22048; double r22059 = r22048 + r22049; double r22060 = r22059 * r22053; double r22061 = -r22060; double r22062 = exp(r22061); double r22063 = r22058 * r22062; double r22064 = r22057 - r22063; double r22065 = 2; double r22066 = r22064 / r22065; return r22066; } double f_of(float x, float eps) { float r22067 = 1; float r22068 = eps; float r22069 = r22067 / r22068; float r22070 = r22067 + r22069; float r22071 = r22067 - r22068; float r22072 = x; float r22073 = r22071 * r22072; float r22074 = -r22073; float r22075 = exp(r22074); float r22076 = r22070 * r22075; float r22077 = log1p(r22076); float r22078 = expm1(r22077); float r22079 = r22069 - r22067; float r22080 = r22067 + r22068; float r22081 = r22080 * r22072; float r22082 = -r22081; float r22083 = exp(r22082); float r22084 = r22079 * r22083; float r22085 = r22078 - r22084; float r22086 = 2; float r22087 = r22085 / r22086; float r22088 = -3.5601181736115222e-307; bool r22089 = r22087 <= r22088; float r22090 = 2/3; float r22091 = 3; float r22092 = pow(r22072, r22091); float r22093 = r22090 * r22092; float r22094 = r22086 + r22093; float r22095 = pow(r22072, r22086); float r22096 = r22094 - r22095; float r22097 = r22096 / r22086; float r22098 = 1473055305.600121; bool r22099 = r22087 <= r22098; float r22100 = r22099 ? r22087 : r22097; float r22101 = r22089 ? r22097 : r22100; return r22101; } double f_od(double x, double eps) { double r22102 = 1; double r22103 = eps; double r22104 = r22102 / r22103; double r22105 = r22102 + r22104; double r22106 = r22102 - r22103; double r22107 = x; double r22108 = r22106 * r22107; double r22109 = -r22108; double r22110 = exp(r22109); double r22111 = r22105 * r22110; double r22112 = log1p(r22111); double r22113 = expm1(r22112); double r22114 = r22104 - r22102; double r22115 = r22102 + r22103; double r22116 = r22115 * r22107; double r22117 = -r22116; double r22118 = exp(r22117); double r22119 = r22114 * r22118; double r22120 = r22113 - r22119; double r22121 = 2; double r22122 = r22120 / r22121; double r22123 = -3.5601181736115222e-307; bool r22124 = r22122 <= r22123; double r22125 = 2/3; double r22126 = 3; double r22127 = pow(r22107, r22126); double r22128 = r22125 * r22127; double r22129 = r22121 + r22128; double r22130 = pow(r22107, r22121); double r22131 = r22129 - r22130; double r22132 = r22131 / r22121; double r22133 = 1473055305.600121; bool r22134 = r22122 <= r22133; double r22135 = r22134 ? r22122 : r22132; double r22136 = r22124 ? r22132 : r22135; return r22136; } 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 r22137, r22138, r22139, r22140, r22141, r22142, r22143, r22144, r22145, r22146, r22147, r22148, r22149, r22150, r22151, r22152, r22153, r22154, r22155; void setup_mpfr_f_im() { mpfr_set_default_prec(1424); mpfr_init_set_str(r22137, "1", 10, MPFR_RNDN); mpfr_init(r22138); mpfr_init(r22139); mpfr_init(r22140); mpfr_init(r22141); mpfr_init(r22142); mpfr_init(r22143); mpfr_init(r22144); mpfr_init(r22145); mpfr_init(r22146); mpfr_init(r22147); mpfr_init(r22148); mpfr_init(r22149); mpfr_init(r22150); mpfr_init(r22151); mpfr_init(r22152); mpfr_init(r22153); mpfr_init_set_str(r22154, "2", 10, MPFR_RNDN); mpfr_init(r22155); } double f_im(double x, double eps) { ; mpfr_set_d(r22138, eps, MPFR_RNDN); mpfr_div(r22139, r22137, r22138, MPFR_RNDN); mpfr_add(r22140, r22137, r22139, MPFR_RNDN); mpfr_sub(r22141, r22137, r22138, MPFR_RNDN); mpfr_set_d(r22142, x, MPFR_RNDN); mpfr_mul(r22143, r22141, r22142, MPFR_RNDN); mpfr_neg(r22144, r22143, MPFR_RNDN); mpfr_exp(r22145, r22144, MPFR_RNDN); mpfr_mul(r22146, r22140, r22145, MPFR_RNDN); mpfr_sub(r22147, r22139, r22137, MPFR_RNDN); mpfr_add(r22148, r22137, r22138, MPFR_RNDN); mpfr_mul(r22149, r22148, r22142, MPFR_RNDN); mpfr_neg(r22150, r22149, MPFR_RNDN); mpfr_exp(r22151, r22150, MPFR_RNDN); mpfr_mul(r22152, r22147, r22151, MPFR_RNDN); mpfr_sub(r22153, r22146, r22152, MPFR_RNDN); ; mpfr_div(r22155, r22153, r22154, MPFR_RNDN); return mpfr_get_d(r22155, MPFR_RNDN); } static mpfr_t r22156, r22157, r22158, r22159, r22160, r22161, r22162, r22163, r22164, r22165, r22166, r22167, r22168, r22169, r22170, r22171, r22172, r22173, r22174, r22175, r22176, r22177, r22178, r22179, r22180, r22181, r22182, r22183, r22184, r22185, r22186, r22187, r22188, r22189, r22190; void setup_mpfr_f_fm() { mpfr_set_default_prec(1424); mpfr_init_set_str(r22156, "1", 10, MPFR_RNDN); mpfr_init(r22157); mpfr_init(r22158); mpfr_init(r22159); mpfr_init(r22160); mpfr_init(r22161); mpfr_init(r22162); mpfr_init(r22163); 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_set_str(r22175, "2", 10, MPFR_RNDN); mpfr_init(r22176); mpfr_init_set_str(r22177, "-3.5601181736115222e-307", 10, MPFR_RNDN); mpfr_init(r22178); mpfr_init_set_str(r22179, "2/3", 10, MPFR_RNDN); mpfr_init_set_str(r22180, "3", 10, MPFR_RNDN); mpfr_init(r22181); mpfr_init(r22182); mpfr_init(r22183); mpfr_init(r22184); mpfr_init(r22185); mpfr_init(r22186); mpfr_init_set_str(r22187, "1473055305.600121", 10, MPFR_RNDN); mpfr_init(r22188); mpfr_init(r22189); mpfr_init(r22190); } double f_fm(double x, double eps) { ; mpfr_set_d(r22157, eps, MPFR_RNDN); mpfr_div(r22158, r22156, r22157, MPFR_RNDN); mpfr_add(r22159, r22156, r22158, MPFR_RNDN); mpfr_sub(r22160, r22156, r22157, MPFR_RNDN); mpfr_set_d(r22161, x, MPFR_RNDN); mpfr_mul(r22162, r22160, r22161, MPFR_RNDN); mpfr_neg(r22163, r22162, MPFR_RNDN); mpfr_exp(r22164, r22163, MPFR_RNDN); mpfr_mul(r22165, r22159, r22164, MPFR_RNDN); mpfr_log1p(r22166, r22165, MPFR_RNDN); mpfr_expm1(r22167, r22166, MPFR_RNDN); mpfr_sub(r22168, r22158, r22156, MPFR_RNDN); mpfr_add(r22169, r22156, r22157, MPFR_RNDN); mpfr_mul(r22170, r22169, r22161, MPFR_RNDN); mpfr_neg(r22171, r22170, MPFR_RNDN); mpfr_exp(r22172, r22171, MPFR_RNDN); mpfr_mul(r22173, r22168, r22172, MPFR_RNDN); mpfr_sub(r22174, r22167, r22173, MPFR_RNDN); ; mpfr_div(r22176, r22174, r22175, MPFR_RNDN); ; mpfr_set_si(r22178, mpfr_cmp(r22176, r22177) <= 0, MPFR_RNDN); ; ; mpfr_pow(r22181, r22161, r22180, MPFR_RNDN); mpfr_mul(r22182, r22179, r22181, MPFR_RNDN); mpfr_add(r22183, r22175, r22182, MPFR_RNDN); mpfr_pow(r22184, r22161, r22175, MPFR_RNDN); mpfr_sub(r22185, r22183, r22184, MPFR_RNDN); mpfr_div(r22186, r22185, r22175, MPFR_RNDN); ; mpfr_set_si(r22188, mpfr_cmp(r22176, r22187) <= 0, MPFR_RNDN); if (mpfr_get_si(r22188, MPFR_RNDN)) { mpfr_set(r22189, r22176, MPFR_RNDN); } else { mpfr_set(r22189, r22186, MPFR_RNDN); }; if (mpfr_get_si(r22178, MPFR_RNDN)) { mpfr_set(r22190, r22186, MPFR_RNDN); } else { mpfr_set(r22190, r22189, MPFR_RNDN); }; return mpfr_get_d(r22190, MPFR_RNDN); } static mpfr_t 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_dm() { mpfr_set_default_prec(1424); mpfr_init_set_str(r22191, "1", 10, MPFR_RNDN); 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(r22203); mpfr_init(r22204); mpfr_init(r22205); mpfr_init(r22206); mpfr_init(r22207); mpfr_init(r22208); mpfr_init(r22209); mpfr_init_set_str(r22210, "2", 10, MPFR_RNDN); mpfr_init(r22211); mpfr_init_set_str(r22212, "-3.5601181736115222e-307", 10, MPFR_RNDN); mpfr_init(r22213); mpfr_init_set_str(r22214, "2/3", 10, MPFR_RNDN); mpfr_init_set_str(r22215, "3", 10, MPFR_RNDN); mpfr_init(r22216); mpfr_init(r22217); mpfr_init(r22218); mpfr_init(r22219); mpfr_init(r22220); mpfr_init(r22221); mpfr_init_set_str(r22222, "1473055305.600121", 10, MPFR_RNDN); mpfr_init(r22223); mpfr_init(r22224); mpfr_init(r22225); } double f_dm(double x, double eps) { ; mpfr_set_d(r22192, eps, MPFR_RNDN); mpfr_div(r22193, r22191, r22192, MPFR_RNDN); mpfr_add(r22194, r22191, r22193, MPFR_RNDN); mpfr_sub(r22195, r22191, r22192, MPFR_RNDN); mpfr_set_d(r22196, x, MPFR_RNDN); mpfr_mul(r22197, r22195, r22196, MPFR_RNDN); mpfr_neg(r22198, r22197, MPFR_RNDN); mpfr_exp(r22199, r22198, MPFR_RNDN); mpfr_mul(r22200, r22194, r22199, MPFR_RNDN); mpfr_log1p(r22201, r22200, MPFR_RNDN); mpfr_expm1(r22202, r22201, MPFR_RNDN); mpfr_sub(r22203, r22193, r22191, MPFR_RNDN); mpfr_add(r22204, r22191, r22192, MPFR_RNDN); mpfr_mul(r22205, r22204, r22196, MPFR_RNDN); mpfr_neg(r22206, r22205, MPFR_RNDN); mpfr_exp(r22207, r22206, MPFR_RNDN); mpfr_mul(r22208, r22203, r22207, MPFR_RNDN); mpfr_sub(r22209, r22202, r22208, MPFR_RNDN); ; mpfr_div(r22211, r22209, r22210, MPFR_RNDN); ; mpfr_set_si(r22213, mpfr_cmp(r22211, r22212) <= 0, MPFR_RNDN); ; ; mpfr_pow(r22216, r22196, r22215, MPFR_RNDN); mpfr_mul(r22217, r22214, r22216, MPFR_RNDN); mpfr_add(r22218, r22210, r22217, MPFR_RNDN); mpfr_pow(r22219, r22196, r22210, MPFR_RNDN); mpfr_sub(r22220, r22218, r22219, MPFR_RNDN); mpfr_div(r22221, r22220, r22210, MPFR_RNDN); ; mpfr_set_si(r22223, mpfr_cmp(r22211, r22222) <= 0, MPFR_RNDN); if (mpfr_get_si(r22223, MPFR_RNDN)) { mpfr_set(r22224, r22211, MPFR_RNDN); } else { mpfr_set(r22224, r22221, MPFR_RNDN); }; if (mpfr_get_si(r22213, MPFR_RNDN)) { mpfr_set(r22225, r22221, MPFR_RNDN); } else { mpfr_set(r22225, r22224, MPFR_RNDN); }; return mpfr_get_d(r22225, MPFR_RNDN); }