#include #include #include #include #include char *name = "NMSE Section 6.1 mentioned, A"; double f_if(float x, float eps) { float r25030 = 1; float r25031 = eps; float r25032 = r25030 / r25031; float r25033 = r25030 + r25032; float r25034 = r25030 - r25031; float r25035 = x; float r25036 = r25034 * r25035; float r25037 = -r25036; float r25038 = exp(r25037); float r25039 = r25033 * r25038; float r25040 = r25032 - r25030; float r25041 = r25030 + r25031; float r25042 = r25041 * r25035; float r25043 = -r25042; float r25044 = exp(r25043); float r25045 = r25040 * r25044; float r25046 = r25039 - r25045; float r25047 = 2; float r25048 = r25046 / r25047; return r25048; } double f_id(double x, double eps) { double r25049 = 1; double r25050 = eps; double r25051 = r25049 / r25050; double r25052 = r25049 + r25051; double r25053 = r25049 - r25050; double r25054 = x; double r25055 = r25053 * r25054; double r25056 = -r25055; double r25057 = exp(r25056); double r25058 = r25052 * r25057; double r25059 = r25051 - r25049; double r25060 = r25049 + r25050; double r25061 = r25060 * r25054; double r25062 = -r25061; double r25063 = exp(r25062); double r25064 = r25059 * r25063; double r25065 = r25058 - r25064; double r25066 = 2; double r25067 = r25065 / r25066; return r25067; } double f_of(float x, float eps) { float r25068 = x; float r25069 = eps; float r25070 = r25068 * r25069; float r25071 = exp(r25070); float r25072 = exp(r25068); float r25073 = r25069 * r25072; float r25074 = r25071 / r25073; float r25075 = 1; float r25076 = r25075 / r25069; float r25077 = r25076 - r25075; float r25078 = fma(r25068, r25069, r25068); float r25079 = exp(r25078); float r25080 = r25077 / r25079; float r25081 = r25074 - r25080; float r25082 = r25070 - r25068; float r25083 = exp(r25082); float r25084 = r25081 + r25083; float r25085 = 2; float r25086 = r25084 / r25085; float r25087 = 8.290358806514041e-25; bool r25088 = r25086 <= r25087; float r25089 = 1.0000000001745346; bool r25090 = r25086 <= r25089; float r25091 = 2/3; float r25092 = 3; float r25093 = pow(r25068, r25092); float r25094 = r25091 * r25093; float r25095 = r25085 + r25094; float r25096 = pow(r25068, r25085); float r25097 = r25095 - r25096; float r25098 = r25097 / r25085; float r25099 = r25075 + r25076; float r25100 = r25075 - r25069; float r25101 = r25100 * r25068; float r25102 = -r25101; float r25103 = exp(r25102); float r25104 = r25099 * r25103; float r25105 = log1p(r25104); float r25106 = expm1(r25105); float r25107 = r25075 + r25069; float r25108 = r25107 * r25068; float r25109 = -r25108; float r25110 = exp(r25109); float r25111 = r25077 * r25110; float r25112 = r25106 - r25111; float r25113 = r25112 / r25085; float r25114 = r25090 ? r25098 : r25113; float r25115 = r25088 ? r25086 : r25114; return r25115; } double f_od(double x, double eps) { double r25116 = x; double r25117 = eps; double r25118 = r25116 * r25117; double r25119 = exp(r25118); double r25120 = exp(r25116); double r25121 = r25117 * r25120; double r25122 = r25119 / r25121; double r25123 = 1; double r25124 = r25123 / r25117; double r25125 = r25124 - r25123; double r25126 = fma(r25116, r25117, r25116); double r25127 = exp(r25126); double r25128 = r25125 / r25127; double r25129 = r25122 - r25128; double r25130 = r25118 - r25116; double r25131 = exp(r25130); double r25132 = r25129 + r25131; double r25133 = 2; double r25134 = r25132 / r25133; double r25135 = 8.290358806514041e-25; bool r25136 = r25134 <= r25135; double r25137 = 1.0000000001745346; bool r25138 = r25134 <= r25137; double r25139 = 2/3; double r25140 = 3; double r25141 = pow(r25116, r25140); double r25142 = r25139 * r25141; double r25143 = r25133 + r25142; double r25144 = pow(r25116, r25133); double r25145 = r25143 - r25144; double r25146 = r25145 / r25133; double r25147 = r25123 + r25124; double r25148 = r25123 - r25117; double r25149 = r25148 * r25116; double r25150 = -r25149; double r25151 = exp(r25150); double r25152 = r25147 * r25151; double r25153 = log1p(r25152); double r25154 = expm1(r25153); double r25155 = r25123 + r25117; double r25156 = r25155 * r25116; double r25157 = -r25156; double r25158 = exp(r25157); double r25159 = r25125 * r25158; double r25160 = r25154 - r25159; double r25161 = r25160 / r25133; double r25162 = r25138 ? r25146 : r25161; double r25163 = r25136 ? r25134 : r25162; return r25163; } 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 r25164, r25165, r25166, r25167, r25168, r25169, r25170, r25171, r25172, r25173, r25174, r25175, r25176, r25177, r25178, r25179, r25180, r25181, r25182; void setup_mpfr_f_im() { mpfr_set_default_prec(1360); mpfr_init_set_str(r25164, "1", 10, MPFR_RNDN); mpfr_init(r25165); mpfr_init(r25166); mpfr_init(r25167); mpfr_init(r25168); mpfr_init(r25169); mpfr_init(r25170); mpfr_init(r25171); mpfr_init(r25172); mpfr_init(r25173); mpfr_init(r25174); mpfr_init(r25175); mpfr_init(r25176); mpfr_init(r25177); mpfr_init(r25178); mpfr_init(r25179); mpfr_init(r25180); mpfr_init_set_str(r25181, "2", 10, MPFR_RNDN); mpfr_init(r25182); } double f_im(double x, double eps) { ; mpfr_set_d(r25165, eps, MPFR_RNDN); mpfr_div(r25166, r25164, r25165, MPFR_RNDN); mpfr_add(r25167, r25164, r25166, MPFR_RNDN); mpfr_sub(r25168, r25164, r25165, MPFR_RNDN); mpfr_set_d(r25169, x, MPFR_RNDN); mpfr_mul(r25170, r25168, r25169, MPFR_RNDN); mpfr_neg(r25171, r25170, MPFR_RNDN); mpfr_exp(r25172, r25171, MPFR_RNDN); mpfr_mul(r25173, r25167, r25172, MPFR_RNDN); mpfr_sub(r25174, r25166, r25164, MPFR_RNDN); mpfr_add(r25175, r25164, r25165, MPFR_RNDN); mpfr_mul(r25176, r25175, r25169, MPFR_RNDN); mpfr_neg(r25177, r25176, MPFR_RNDN); mpfr_exp(r25178, r25177, MPFR_RNDN); mpfr_mul(r25179, r25174, r25178, MPFR_RNDN); mpfr_sub(r25180, r25173, r25179, MPFR_RNDN); ; mpfr_div(r25182, r25180, r25181, MPFR_RNDN); return mpfr_get_d(r25182, MPFR_RNDN); } static mpfr_t r25183, r25184, r25185, r25186, r25187, r25188, r25189, r25190, r25191, r25192, r25193, r25194, r25195, r25196, r25197, r25198, r25199, r25200, r25201, r25202, r25203, r25204, r25205, r25206, r25207, r25208, r25209, r25210, r25211, r25212, r25213, r25214, r25215, r25216, r25217, r25218, r25219, r25220, r25221, r25222, r25223, r25224, r25225, r25226, r25227, r25228, r25229, r25230; void setup_mpfr_f_fm() { mpfr_set_default_prec(1360); mpfr_init(r25183); mpfr_init(r25184); mpfr_init(r25185); mpfr_init(r25186); mpfr_init(r25187); mpfr_init(r25188); mpfr_init(r25189); mpfr_init_set_str(r25190, "1", 10, MPFR_RNDN); mpfr_init(r25191); mpfr_init(r25192); mpfr_init(r25193); mpfr_init(r25194); mpfr_init(r25195); mpfr_init(r25196); mpfr_init(r25197); mpfr_init(r25198); mpfr_init(r25199); mpfr_init_set_str(r25200, "2", 10, MPFR_RNDN); mpfr_init(r25201); mpfr_init_set_str(r25202, "8.290358806514041e-25", 10, MPFR_RNDN); mpfr_init(r25203); mpfr_init_set_str(r25204, "1.0000000001745346", 10, MPFR_RNDN); mpfr_init(r25205); mpfr_init_set_str(r25206, "2/3", 10, MPFR_RNDN); mpfr_init_set_str(r25207, "3", 10, MPFR_RNDN); mpfr_init(r25208); mpfr_init(r25209); mpfr_init(r25210); mpfr_init(r25211); mpfr_init(r25212); mpfr_init(r25213); mpfr_init(r25214); mpfr_init(r25215); mpfr_init(r25216); mpfr_init(r25217); mpfr_init(r25218); mpfr_init(r25219); mpfr_init(r25220); mpfr_init(r25221); mpfr_init(r25222); mpfr_init(r25223); mpfr_init(r25224); mpfr_init(r25225); mpfr_init(r25226); mpfr_init(r25227); mpfr_init(r25228); mpfr_init(r25229); mpfr_init(r25230); } double f_fm(double x, double eps) { mpfr_set_d(r25183, x, MPFR_RNDN); mpfr_set_d(r25184, eps, MPFR_RNDN); mpfr_mul(r25185, r25183, r25184, MPFR_RNDN); mpfr_exp(r25186, r25185, MPFR_RNDN); mpfr_exp(r25187, r25183, MPFR_RNDN); mpfr_mul(r25188, r25184, r25187, MPFR_RNDN); mpfr_div(r25189, r25186, r25188, MPFR_RNDN); ; mpfr_div(r25191, r25190, r25184, MPFR_RNDN); mpfr_sub(r25192, r25191, r25190, MPFR_RNDN); mpfr_fma(r25193, r25183, r25184, r25183, MPFR_RNDN); mpfr_exp(r25194, r25193, MPFR_RNDN); mpfr_div(r25195, r25192, r25194, MPFR_RNDN); mpfr_sub(r25196, r25189, r25195, MPFR_RNDN); mpfr_sub(r25197, r25185, r25183, MPFR_RNDN); mpfr_exp(r25198, r25197, MPFR_RNDN); mpfr_add(r25199, r25196, r25198, MPFR_RNDN); ; mpfr_div(r25201, r25199, r25200, MPFR_RNDN); ; mpfr_set_si(r25203, mpfr_cmp(r25201, r25202) <= 0, MPFR_RNDN); ; mpfr_set_si(r25205, mpfr_cmp(r25201, r25204) <= 0, MPFR_RNDN); ; ; mpfr_pow(r25208, r25183, r25207, MPFR_RNDN); mpfr_mul(r25209, r25206, r25208, MPFR_RNDN); mpfr_add(r25210, r25200, r25209, MPFR_RNDN); mpfr_pow(r25211, r25183, r25200, MPFR_RNDN); mpfr_sub(r25212, r25210, r25211, MPFR_RNDN); mpfr_div(r25213, r25212, r25200, MPFR_RNDN); mpfr_add(r25214, r25190, r25191, MPFR_RNDN); mpfr_sub(r25215, r25190, r25184, MPFR_RNDN); mpfr_mul(r25216, r25215, r25183, MPFR_RNDN); mpfr_neg(r25217, r25216, MPFR_RNDN); mpfr_exp(r25218, r25217, MPFR_RNDN); mpfr_mul(r25219, r25214, r25218, MPFR_RNDN); mpfr_log1p(r25220, r25219, MPFR_RNDN); mpfr_expm1(r25221, r25220, MPFR_RNDN); mpfr_add(r25222, r25190, r25184, MPFR_RNDN); mpfr_mul(r25223, r25222, r25183, MPFR_RNDN); mpfr_neg(r25224, r25223, MPFR_RNDN); mpfr_exp(r25225, r25224, MPFR_RNDN); mpfr_mul(r25226, r25192, r25225, MPFR_RNDN); mpfr_sub(r25227, r25221, r25226, MPFR_RNDN); mpfr_div(r25228, r25227, r25200, MPFR_RNDN); if (mpfr_get_si(r25205, MPFR_RNDN)) { mpfr_set(r25229, r25213, MPFR_RNDN); } else { mpfr_set(r25229, r25228, MPFR_RNDN); }; if (mpfr_get_si(r25203, MPFR_RNDN)) { mpfr_set(r25230, r25201, MPFR_RNDN); } else { mpfr_set(r25230, r25229, MPFR_RNDN); }; return mpfr_get_d(r25230, MPFR_RNDN); } static mpfr_t r25231, r25232, r25233, r25234, r25235, r25236, r25237, r25238, r25239, r25240, r25241, r25242, r25243, r25244, r25245, r25246, r25247, r25248, r25249, r25250, r25251, r25252, r25253, r25254, r25255, r25256, r25257, r25258, r25259, r25260, r25261, r25262, r25263, r25264, r25265, r25266, r25267, r25268, r25269, r25270, r25271, r25272, r25273, r25274, r25275, r25276, r25277, r25278; void setup_mpfr_f_dm() { mpfr_set_default_prec(1360); mpfr_init(r25231); mpfr_init(r25232); mpfr_init(r25233); mpfr_init(r25234); mpfr_init(r25235); mpfr_init(r25236); mpfr_init(r25237); mpfr_init_set_str(r25238, "1", 10, MPFR_RNDN); mpfr_init(r25239); mpfr_init(r25240); mpfr_init(r25241); mpfr_init(r25242); mpfr_init(r25243); mpfr_init(r25244); mpfr_init(r25245); mpfr_init(r25246); mpfr_init(r25247); mpfr_init_set_str(r25248, "2", 10, MPFR_RNDN); mpfr_init(r25249); mpfr_init_set_str(r25250, "8.290358806514041e-25", 10, MPFR_RNDN); mpfr_init(r25251); mpfr_init_set_str(r25252, "1.0000000001745346", 10, MPFR_RNDN); mpfr_init(r25253); mpfr_init_set_str(r25254, "2/3", 10, MPFR_RNDN); mpfr_init_set_str(r25255, "3", 10, MPFR_RNDN); mpfr_init(r25256); mpfr_init(r25257); mpfr_init(r25258); mpfr_init(r25259); mpfr_init(r25260); mpfr_init(r25261); mpfr_init(r25262); mpfr_init(r25263); mpfr_init(r25264); mpfr_init(r25265); mpfr_init(r25266); mpfr_init(r25267); mpfr_init(r25268); mpfr_init(r25269); mpfr_init(r25270); mpfr_init(r25271); mpfr_init(r25272); mpfr_init(r25273); mpfr_init(r25274); mpfr_init(r25275); mpfr_init(r25276); mpfr_init(r25277); mpfr_init(r25278); } double f_dm(double x, double eps) { mpfr_set_d(r25231, x, MPFR_RNDN); mpfr_set_d(r25232, eps, MPFR_RNDN); mpfr_mul(r25233, r25231, r25232, MPFR_RNDN); mpfr_exp(r25234, r25233, MPFR_RNDN); mpfr_exp(r25235, r25231, MPFR_RNDN); mpfr_mul(r25236, r25232, r25235, MPFR_RNDN); mpfr_div(r25237, r25234, r25236, MPFR_RNDN); ; mpfr_div(r25239, r25238, r25232, MPFR_RNDN); mpfr_sub(r25240, r25239, r25238, MPFR_RNDN); mpfr_fma(r25241, r25231, r25232, r25231, MPFR_RNDN); mpfr_exp(r25242, r25241, MPFR_RNDN); mpfr_div(r25243, r25240, r25242, MPFR_RNDN); mpfr_sub(r25244, r25237, r25243, MPFR_RNDN); mpfr_sub(r25245, r25233, r25231, MPFR_RNDN); mpfr_exp(r25246, r25245, MPFR_RNDN); mpfr_add(r25247, r25244, r25246, MPFR_RNDN); ; mpfr_div(r25249, r25247, r25248, MPFR_RNDN); ; mpfr_set_si(r25251, mpfr_cmp(r25249, r25250) <= 0, MPFR_RNDN); ; mpfr_set_si(r25253, mpfr_cmp(r25249, r25252) <= 0, MPFR_RNDN); ; ; mpfr_pow(r25256, r25231, r25255, MPFR_RNDN); mpfr_mul(r25257, r25254, r25256, MPFR_RNDN); mpfr_add(r25258, r25248, r25257, MPFR_RNDN); mpfr_pow(r25259, r25231, r25248, MPFR_RNDN); mpfr_sub(r25260, r25258, r25259, MPFR_RNDN); mpfr_div(r25261, r25260, r25248, MPFR_RNDN); mpfr_add(r25262, r25238, r25239, MPFR_RNDN); mpfr_sub(r25263, r25238, r25232, MPFR_RNDN); mpfr_mul(r25264, r25263, r25231, MPFR_RNDN); mpfr_neg(r25265, r25264, MPFR_RNDN); mpfr_exp(r25266, r25265, MPFR_RNDN); mpfr_mul(r25267, r25262, r25266, MPFR_RNDN); mpfr_log1p(r25268, r25267, MPFR_RNDN); mpfr_expm1(r25269, r25268, MPFR_RNDN); mpfr_add(r25270, r25238, r25232, MPFR_RNDN); mpfr_mul(r25271, r25270, r25231, MPFR_RNDN); mpfr_neg(r25272, r25271, MPFR_RNDN); mpfr_exp(r25273, r25272, MPFR_RNDN); mpfr_mul(r25274, r25240, r25273, MPFR_RNDN); mpfr_sub(r25275, r25269, r25274, MPFR_RNDN); mpfr_div(r25276, r25275, r25248, MPFR_RNDN); if (mpfr_get_si(r25253, MPFR_RNDN)) { mpfr_set(r25277, r25261, MPFR_RNDN); } else { mpfr_set(r25277, r25276, MPFR_RNDN); }; if (mpfr_get_si(r25251, MPFR_RNDN)) { mpfr_set(r25278, r25249, MPFR_RNDN); } else { mpfr_set(r25278, r25277, MPFR_RNDN); }; return mpfr_get_d(r25278, MPFR_RNDN); }