#include #include #include #include #include char *name = "From Warwick Tucker's Validated Numerics"; double f_if() { float r22010 = 333.75; float r22011 = 33096; float r22012 = 6; float r22013 = pow(r22011, r22012); float r22014 = r22010 * r22013; float r22015 = 77617; float r22016 = r22015 * r22015; float r22017 = 11; float r22018 = r22017 * r22016; float r22019 = r22011 * r22011; float r22020 = r22018 * r22019; float r22021 = -r22013; float r22022 = r22020 + r22021; float r22023 = -121; float r22024 = 4; float r22025 = pow(r22011, r22024); float r22026 = r22023 * r22025; float r22027 = r22022 + r22026; float r22028 = -2; float r22029 = r22027 + r22028; float r22030 = r22016 * r22029; float r22031 = r22014 + r22030; float r22032 = 5.5; float r22033 = 8; float r22034 = pow(r22011, r22033); float r22035 = r22032 * r22034; float r22036 = r22031 + r22035; float r22037 = 2; float r22038 = r22037 * r22011; float r22039 = r22015 / r22038; float r22040 = r22036 + r22039; return r22040; } double f_id() { double r22041 = 333.75; double r22042 = 33096; double r22043 = 6; double r22044 = pow(r22042, r22043); double r22045 = r22041 * r22044; double r22046 = 77617; double r22047 = r22046 * r22046; double r22048 = 11; double r22049 = r22048 * r22047; double r22050 = r22042 * r22042; double r22051 = r22049 * r22050; double r22052 = -r22044; double r22053 = r22051 + r22052; double r22054 = -121; double r22055 = 4; double r22056 = pow(r22042, r22055); double r22057 = r22054 * r22056; double r22058 = r22053 + r22057; double r22059 = -2; double r22060 = r22058 + r22059; double r22061 = r22047 * r22060; double r22062 = r22045 + r22061; double r22063 = 5.5; double r22064 = 8; double r22065 = pow(r22042, r22064); double r22066 = r22063 * r22065; double r22067 = r22062 + r22066; double r22068 = 2; double r22069 = r22068 * r22042; double r22070 = r22046 / r22069; double r22071 = r22067 + r22070; return r22071; } double f_of() { float r22072 = 33096; float r22073 = 6; float r22074 = pow(r22072, r22073); float r22075 = 333.75; float r22076 = r22074 * r22075; float r22077 = 77617; float r22078 = r22077 * r22077; float r22079 = 11; float r22080 = r22077 * r22079; float r22081 = r22072 * r22080; float r22082 = r22077 * r22072; float r22083 = r22081 * r22082; float r22084 = -2; float r22085 = r22074 - r22084; float r22086 = 4; float r22087 = pow(r22072, r22086); float r22088 = -121; float r22089 = r22087 * r22088; float r22090 = r22085 - r22089; float r22091 = r22083 - r22090; float r22092 = r22078 * r22091; float r22093 = r22076 + r22092; float r22094 = r22093 * r22093; float r22095 = r22094 * r22093; float r22096 = 5.5; float r22097 = 8; float r22098 = pow(r22072, r22097); float r22099 = r22096 * r22098; float r22100 = 3; float r22101 = pow(r22099, r22100); float r22102 = r22095 + r22101; float r22103 = r22099 * r22099; float r22104 = r22079 * r22072; float r22105 = r22072 * r22104; float r22106 = r22078 * r22105; float r22107 = r22106 - r22090; float r22108 = r22078 * r22107; float r22109 = r22076 + r22108; float r22110 = r22099 - r22076; float r22111 = log(r22090); float r22112 = sqrt(r22111); float r22113 = exp(r22112); float r22114 = pow(r22113, r22112); float r22115 = r22106 - r22114; float r22116 = r22078 * r22115; float r22117 = r22110 - r22116; float r22118 = r22109 * r22117; float r22119 = r22103 - r22118; float r22120 = r22102 / r22119; float r22121 = 2; float r22122 = r22121 * r22072; float r22123 = r22077 / r22122; float r22124 = r22120 + r22123; return r22124; } double f_od() { double r22125 = 33096; double r22126 = 6; double r22127 = pow(r22125, r22126); double r22128 = 333.75; double r22129 = r22127 * r22128; double r22130 = 77617; double r22131 = r22130 * r22130; double r22132 = 11; double r22133 = r22130 * r22132; double r22134 = r22125 * r22133; double r22135 = r22130 * r22125; double r22136 = r22134 * r22135; double r22137 = -2; double r22138 = r22127 - r22137; double r22139 = 4; double r22140 = pow(r22125, r22139); double r22141 = -121; double r22142 = r22140 * r22141; double r22143 = r22138 - r22142; double r22144 = r22136 - r22143; double r22145 = r22131 * r22144; double r22146 = r22129 + r22145; double r22147 = r22146 * r22146; double r22148 = r22147 * r22146; double r22149 = 5.5; double r22150 = 8; double r22151 = pow(r22125, r22150); double r22152 = r22149 * r22151; double r22153 = 3; double r22154 = pow(r22152, r22153); double r22155 = r22148 + r22154; double r22156 = r22152 * r22152; double r22157 = r22132 * r22125; double r22158 = r22125 * r22157; double r22159 = r22131 * r22158; double r22160 = r22159 - r22143; double r22161 = r22131 * r22160; double r22162 = r22129 + r22161; double r22163 = r22152 - r22129; double r22164 = log(r22143); double r22165 = sqrt(r22164); double r22166 = exp(r22165); double r22167 = pow(r22166, r22165); double r22168 = r22159 - r22167; double r22169 = r22131 * r22168; double r22170 = r22163 - r22169; double r22171 = r22162 * r22170; double r22172 = r22156 - r22171; double r22173 = r22155 / r22172; double r22174 = 2; double r22175 = r22174 * r22125; double r22176 = r22130 / r22175; double r22177 = r22173 + r22176; return r22177; } 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 r22178, r22179, r22180, r22181, 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; void setup_mpfr_f_im() { mpfr_set_default_prec(592); mpfr_init_set_str(r22178, "333.75", 10, MPFR_RNDN); mpfr_init_set_str(r22179, "33096", 10, MPFR_RNDN); mpfr_init_set_str(r22180, "6", 10, MPFR_RNDN); mpfr_init(r22181); mpfr_init(r22182); mpfr_init_set_str(r22183, "77617", 10, MPFR_RNDN); mpfr_init(r22184); mpfr_init_set_str(r22185, "11", 10, MPFR_RNDN); mpfr_init(r22186); mpfr_init(r22187); mpfr_init(r22188); mpfr_init(r22189); mpfr_init(r22190); mpfr_init_set_str(r22191, "-121", 10, MPFR_RNDN); mpfr_init_set_str(r22192, "4", 10, MPFR_RNDN); mpfr_init(r22193); mpfr_init(r22194); mpfr_init(r22195); mpfr_init_set_str(r22196, "-2", 10, MPFR_RNDN); mpfr_init(r22197); mpfr_init(r22198); mpfr_init(r22199); mpfr_init_set_str(r22200, "5.5", 10, MPFR_RNDN); mpfr_init_set_str(r22201, "8", 10, MPFR_RNDN); mpfr_init(r22202); mpfr_init(r22203); mpfr_init(r22204); mpfr_init_set_str(r22205, "2", 10, MPFR_RNDN); mpfr_init(r22206); mpfr_init(r22207); mpfr_init(r22208); } double f_im() { ; ; ; mpfr_pow(r22181, r22179, r22180, MPFR_RNDN); mpfr_mul(r22182, r22178, r22181, MPFR_RNDN); ; mpfr_mul(r22184, r22183, r22183, MPFR_RNDN); ; mpfr_mul(r22186, r22185, r22184, MPFR_RNDN); mpfr_mul(r22187, r22179, r22179, MPFR_RNDN); mpfr_mul(r22188, r22186, r22187, MPFR_RNDN); mpfr_neg(r22189, r22181, MPFR_RNDN); mpfr_add(r22190, r22188, r22189, MPFR_RNDN); ; ; mpfr_pow(r22193, r22179, r22192, MPFR_RNDN); mpfr_mul(r22194, r22191, r22193, MPFR_RNDN); mpfr_add(r22195, r22190, r22194, MPFR_RNDN); ; mpfr_add(r22197, r22195, r22196, MPFR_RNDN); mpfr_mul(r22198, r22184, r22197, MPFR_RNDN); mpfr_add(r22199, r22182, r22198, MPFR_RNDN); ; ; mpfr_pow(r22202, r22179, r22201, MPFR_RNDN); mpfr_mul(r22203, r22200, r22202, MPFR_RNDN); mpfr_add(r22204, r22199, r22203, MPFR_RNDN); ; mpfr_mul(r22206, r22205, r22179, MPFR_RNDN); mpfr_div(r22207, r22183, r22206, MPFR_RNDN); mpfr_add(r22208, r22204, r22207, MPFR_RNDN); return mpfr_get_d(r22208, MPFR_RNDN); } static mpfr_t 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, r22239, r22240, r22241, r22242, r22243, r22244, r22245, r22246, r22247, r22248, r22249, r22250, r22251, r22252, r22253, r22254, r22255, r22256, r22257, r22258, r22259, r22260, r22261; void setup_mpfr_f_fm() { mpfr_set_default_prec(592); mpfr_init_set_str(r22209, "33096", 10, MPFR_RNDN); mpfr_init_set_str(r22210, "6", 10, MPFR_RNDN); mpfr_init(r22211); mpfr_init_set_str(r22212, "333.75", 10, MPFR_RNDN); mpfr_init(r22213); mpfr_init_set_str(r22214, "77617", 10, MPFR_RNDN); mpfr_init(r22215); mpfr_init_set_str(r22216, "11", 10, MPFR_RNDN); mpfr_init(r22217); mpfr_init(r22218); mpfr_init(r22219); mpfr_init(r22220); mpfr_init_set_str(r22221, "-2", 10, MPFR_RNDN); mpfr_init(r22222); mpfr_init_set_str(r22223, "4", 10, MPFR_RNDN); mpfr_init(r22224); mpfr_init_set_str(r22225, "-121", 10, MPFR_RNDN); mpfr_init(r22226); mpfr_init(r22227); mpfr_init(r22228); mpfr_init(r22229); mpfr_init(r22230); mpfr_init(r22231); mpfr_init(r22232); mpfr_init_set_str(r22233, "5.5", 10, MPFR_RNDN); mpfr_init_set_str(r22234, "8", 10, MPFR_RNDN); mpfr_init(r22235); mpfr_init(r22236); mpfr_init_set_str(r22237, "3", 10, MPFR_RNDN); mpfr_init(r22238); mpfr_init(r22239); mpfr_init(r22240); mpfr_init(r22241); mpfr_init(r22242); mpfr_init(r22243); mpfr_init(r22244); 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(r22253); mpfr_init(r22254); mpfr_init(r22255); mpfr_init(r22256); mpfr_init(r22257); mpfr_init_set_str(r22258, "2", 10, MPFR_RNDN); mpfr_init(r22259); mpfr_init(r22260); mpfr_init(r22261); } double f_fm() { ; ; mpfr_pow(r22211, r22209, r22210, MPFR_RNDN); ; mpfr_mul(r22213, r22211, r22212, MPFR_RNDN); ; mpfr_mul(r22215, r22214, r22214, MPFR_RNDN); ; mpfr_mul(r22217, r22214, r22216, MPFR_RNDN); mpfr_mul(r22218, r22209, r22217, MPFR_RNDN); mpfr_mul(r22219, r22214, r22209, MPFR_RNDN); mpfr_mul(r22220, r22218, r22219, MPFR_RNDN); ; mpfr_sub(r22222, r22211, r22221, MPFR_RNDN); ; mpfr_pow(r22224, r22209, r22223, MPFR_RNDN); ; mpfr_mul(r22226, r22224, r22225, MPFR_RNDN); mpfr_sub(r22227, r22222, r22226, MPFR_RNDN); mpfr_sub(r22228, r22220, r22227, MPFR_RNDN); mpfr_mul(r22229, r22215, r22228, MPFR_RNDN); mpfr_add(r22230, r22213, r22229, MPFR_RNDN); mpfr_mul(r22231, r22230, r22230, MPFR_RNDN); mpfr_mul(r22232, r22231, r22230, MPFR_RNDN); ; ; mpfr_pow(r22235, r22209, r22234, MPFR_RNDN); mpfr_mul(r22236, r22233, r22235, MPFR_RNDN); ; mpfr_pow(r22238, r22236, r22237, MPFR_RNDN); mpfr_add(r22239, r22232, r22238, MPFR_RNDN); mpfr_mul(r22240, r22236, r22236, MPFR_RNDN); mpfr_mul(r22241, r22216, r22209, MPFR_RNDN); mpfr_mul(r22242, r22209, r22241, MPFR_RNDN); mpfr_mul(r22243, r22215, r22242, MPFR_RNDN); mpfr_sub(r22244, r22243, r22227, MPFR_RNDN); mpfr_mul(r22245, r22215, r22244, MPFR_RNDN); mpfr_add(r22246, r22213, r22245, MPFR_RNDN); mpfr_sub(r22247, r22236, r22213, MPFR_RNDN); mpfr_log(r22248, r22227, MPFR_RNDN); mpfr_sqrt(r22249, r22248, MPFR_RNDN); mpfr_exp(r22250, r22249, MPFR_RNDN); mpfr_pow(r22251, r22250, r22249, MPFR_RNDN); mpfr_sub(r22252, r22243, r22251, MPFR_RNDN); mpfr_mul(r22253, r22215, r22252, MPFR_RNDN); mpfr_sub(r22254, r22247, r22253, MPFR_RNDN); mpfr_mul(r22255, r22246, r22254, MPFR_RNDN); mpfr_sub(r22256, r22240, r22255, MPFR_RNDN); mpfr_div(r22257, r22239, r22256, MPFR_RNDN); ; mpfr_mul(r22259, r22258, r22209, MPFR_RNDN); mpfr_div(r22260, r22214, r22259, MPFR_RNDN); mpfr_add(r22261, r22257, r22260, MPFR_RNDN); return mpfr_get_d(r22261, MPFR_RNDN); } static mpfr_t r22262, r22263, r22264, r22265, r22266, r22267, r22268, r22269, r22270, r22271, r22272, r22273, r22274, r22275, r22276, r22277, r22278, r22279, r22280, r22281, r22282, r22283, r22284, r22285, r22286, r22287, r22288, r22289, r22290, r22291, r22292, r22293, r22294, r22295, r22296, r22297, r22298, r22299, r22300, r22301, r22302, r22303, r22304, r22305, r22306, r22307, r22308, r22309, r22310, r22311, r22312, r22313, r22314; void setup_mpfr_f_dm() { mpfr_set_default_prec(592); mpfr_init_set_str(r22262, "33096", 10, MPFR_RNDN); mpfr_init_set_str(r22263, "6", 10, MPFR_RNDN); mpfr_init(r22264); mpfr_init_set_str(r22265, "333.75", 10, MPFR_RNDN); mpfr_init(r22266); mpfr_init_set_str(r22267, "77617", 10, MPFR_RNDN); mpfr_init(r22268); mpfr_init_set_str(r22269, "11", 10, MPFR_RNDN); mpfr_init(r22270); mpfr_init(r22271); mpfr_init(r22272); mpfr_init(r22273); mpfr_init_set_str(r22274, "-2", 10, MPFR_RNDN); mpfr_init(r22275); mpfr_init_set_str(r22276, "4", 10, MPFR_RNDN); mpfr_init(r22277); mpfr_init_set_str(r22278, "-121", 10, MPFR_RNDN); mpfr_init(r22279); mpfr_init(r22280); mpfr_init(r22281); mpfr_init(r22282); mpfr_init(r22283); mpfr_init(r22284); mpfr_init(r22285); mpfr_init_set_str(r22286, "5.5", 10, MPFR_RNDN); mpfr_init_set_str(r22287, "8", 10, MPFR_RNDN); mpfr_init(r22288); mpfr_init(r22289); mpfr_init_set_str(r22290, "3", 10, MPFR_RNDN); mpfr_init(r22291); mpfr_init(r22292); mpfr_init(r22293); mpfr_init(r22294); mpfr_init(r22295); mpfr_init(r22296); mpfr_init(r22297); mpfr_init(r22298); mpfr_init(r22299); mpfr_init(r22300); mpfr_init(r22301); mpfr_init(r22302); mpfr_init(r22303); mpfr_init(r22304); mpfr_init(r22305); mpfr_init(r22306); mpfr_init(r22307); mpfr_init(r22308); mpfr_init(r22309); mpfr_init(r22310); mpfr_init_set_str(r22311, "2", 10, MPFR_RNDN); mpfr_init(r22312); mpfr_init(r22313); mpfr_init(r22314); } double f_dm() { ; ; mpfr_pow(r22264, r22262, r22263, MPFR_RNDN); ; mpfr_mul(r22266, r22264, r22265, MPFR_RNDN); ; mpfr_mul(r22268, r22267, r22267, MPFR_RNDN); ; mpfr_mul(r22270, r22267, r22269, MPFR_RNDN); mpfr_mul(r22271, r22262, r22270, MPFR_RNDN); mpfr_mul(r22272, r22267, r22262, MPFR_RNDN); mpfr_mul(r22273, r22271, r22272, MPFR_RNDN); ; mpfr_sub(r22275, r22264, r22274, MPFR_RNDN); ; mpfr_pow(r22277, r22262, r22276, MPFR_RNDN); ; mpfr_mul(r22279, r22277, r22278, MPFR_RNDN); mpfr_sub(r22280, r22275, r22279, MPFR_RNDN); mpfr_sub(r22281, r22273, r22280, MPFR_RNDN); mpfr_mul(r22282, r22268, r22281, MPFR_RNDN); mpfr_add(r22283, r22266, r22282, MPFR_RNDN); mpfr_mul(r22284, r22283, r22283, MPFR_RNDN); mpfr_mul(r22285, r22284, r22283, MPFR_RNDN); ; ; mpfr_pow(r22288, r22262, r22287, MPFR_RNDN); mpfr_mul(r22289, r22286, r22288, MPFR_RNDN); ; mpfr_pow(r22291, r22289, r22290, MPFR_RNDN); mpfr_add(r22292, r22285, r22291, MPFR_RNDN); mpfr_mul(r22293, r22289, r22289, MPFR_RNDN); mpfr_mul(r22294, r22269, r22262, MPFR_RNDN); mpfr_mul(r22295, r22262, r22294, MPFR_RNDN); mpfr_mul(r22296, r22268, r22295, MPFR_RNDN); mpfr_sub(r22297, r22296, r22280, MPFR_RNDN); mpfr_mul(r22298, r22268, r22297, MPFR_RNDN); mpfr_add(r22299, r22266, r22298, MPFR_RNDN); mpfr_sub(r22300, r22289, r22266, MPFR_RNDN); mpfr_log(r22301, r22280, MPFR_RNDN); mpfr_sqrt(r22302, r22301, MPFR_RNDN); mpfr_exp(r22303, r22302, MPFR_RNDN); mpfr_pow(r22304, r22303, r22302, MPFR_RNDN); mpfr_sub(r22305, r22296, r22304, MPFR_RNDN); mpfr_mul(r22306, r22268, r22305, MPFR_RNDN); mpfr_sub(r22307, r22300, r22306, MPFR_RNDN); mpfr_mul(r22308, r22299, r22307, MPFR_RNDN); mpfr_sub(r22309, r22293, r22308, MPFR_RNDN); mpfr_div(r22310, r22292, r22309, MPFR_RNDN); ; mpfr_mul(r22312, r22311, r22262, MPFR_RNDN); mpfr_div(r22313, r22267, r22312, MPFR_RNDN); mpfr_add(r22314, r22310, r22313, MPFR_RNDN); return mpfr_get_d(r22314, MPFR_RNDN); }