#include #include #include #include #include char *name = "2nthrt (problem 3.4.6)"; double f_if(float x, float n) { float r23129 = x; float r23130 = 1; float r23131 = r23129 + r23130; float r23132 = n; float r23133 = r23130 / r23132; float r23134 = pow(r23131, r23133); float r23135 = pow(r23129, r23133); float r23136 = r23134 - r23135; return r23136; } double f_id(double x, double n) { double r23137 = x; double r23138 = 1; double r23139 = r23137 + r23138; double r23140 = n; double r23141 = r23138 / r23140; double r23142 = pow(r23139, r23141); double r23143 = pow(r23137, r23141); double r23144 = r23142 - r23143; return r23144; } double f_of(float x, float n) { float r23145 = 1; float r23146 = x; float r23147 = n; float r23148 = r23146 * r23147; float r23149 = r23145 / r23148; float r23150 = 1/2; float r23151 = r23150 / r23146; float r23152 = r23151 / r23148; float r23153 = r23149 - r23152; float r23154 = log(r23146); float r23155 = r23147 * r23147; float r23156 = r23155 * r23146; float r23157 = r23154 / r23156; float r23158 = r23153 + r23157; float r23159 = -1.0967442860658084e-139; bool r23160 = r23158 <= r23159; float r23161 = r23145 + r23146; float r23162 = r23145 / r23147; float r23163 = pow(r23161, r23162); float r23164 = r23163 - r23145; float r23165 = r23150 / r23147; float r23166 = r23154 * r23165; float r23167 = r23147 / r23154; float r23168 = r23166 / r23167; float r23169 = r23164 - r23168; float r23170 = r23154 / r23147; float r23171 = r23169 - r23170; float r23172 = 4.366697785696835e-127; bool r23173 = r23158 <= r23172; float r23174 = r23162 / r23146; float r23175 = r23146 * r23146; float r23176 = r23165 / r23175; float r23177 = r23174 - r23176; float r23178 = r23147 * r23146; float r23179 = r23178 * r23147; float r23180 = r23154 / r23179; float r23181 = r23177 + r23180; float r23182 = 7.112718915844009e-68; bool r23183 = r23158 <= r23182; float r23184 = 5.34551359380326e-47; bool r23185 = r23158 <= r23184; float r23186 = 4.120051642266411e+60; bool r23187 = r23158 <= r23186; float r23188 = r23146 + r23145; float r23189 = cbrt(r23188); float r23190 = r23189 * r23189; float r23191 = pow(r23190, r23162); float r23192 = pow(r23189, r23162); float r23193 = r23191 * r23192; float r23194 = pow(r23146, r23162); float r23195 = r23193 - r23194; float r23196 = 3.0384777457631224e+291; bool r23197 = r23158 <= r23196; float r23198 = r23197 ? r23171 : r23195; float r23199 = r23187 ? r23195 : r23198; float r23200 = r23185 ? r23158 : r23199; float r23201 = r23183 ? r23171 : r23200; float r23202 = r23173 ? r23181 : r23201; float r23203 = r23160 ? r23171 : r23202; return r23203; } double f_od(double x, double n) { double r23204 = 1; double r23205 = x; double r23206 = n; double r23207 = r23205 * r23206; double r23208 = r23204 / r23207; double r23209 = 1/2; double r23210 = r23209 / r23205; double r23211 = r23210 / r23207; double r23212 = r23208 - r23211; double r23213 = log(r23205); double r23214 = r23206 * r23206; double r23215 = r23214 * r23205; double r23216 = r23213 / r23215; double r23217 = r23212 + r23216; double r23218 = -1.0967442860658084e-139; bool r23219 = r23217 <= r23218; double r23220 = r23204 + r23205; double r23221 = r23204 / r23206; double r23222 = pow(r23220, r23221); double r23223 = r23222 - r23204; double r23224 = r23209 / r23206; double r23225 = r23213 * r23224; double r23226 = r23206 / r23213; double r23227 = r23225 / r23226; double r23228 = r23223 - r23227; double r23229 = r23213 / r23206; double r23230 = r23228 - r23229; double r23231 = 4.366697785696835e-127; bool r23232 = r23217 <= r23231; double r23233 = r23221 / r23205; double r23234 = r23205 * r23205; double r23235 = r23224 / r23234; double r23236 = r23233 - r23235; double r23237 = r23206 * r23205; double r23238 = r23237 * r23206; double r23239 = r23213 / r23238; double r23240 = r23236 + r23239; double r23241 = 7.112718915844009e-68; bool r23242 = r23217 <= r23241; double r23243 = 5.34551359380326e-47; bool r23244 = r23217 <= r23243; double r23245 = 4.120051642266411e+60; bool r23246 = r23217 <= r23245; double r23247 = r23205 + r23204; double r23248 = cbrt(r23247); double r23249 = r23248 * r23248; double r23250 = pow(r23249, r23221); double r23251 = pow(r23248, r23221); double r23252 = r23250 * r23251; double r23253 = pow(r23205, r23221); double r23254 = r23252 - r23253; double r23255 = 3.0384777457631224e+291; bool r23256 = r23217 <= r23255; double r23257 = r23256 ? r23230 : r23254; double r23258 = r23246 ? r23254 : r23257; double r23259 = r23244 ? r23217 : r23258; double r23260 = r23242 ? r23230 : r23259; double r23261 = r23232 ? r23240 : r23260; double r23262 = r23219 ? r23230 : r23261; return r23262; } 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 r23263, r23264, r23265, r23266, r23267, r23268, r23269, r23270; void setup_mpfr_f_im() { mpfr_set_default_prec(1360); mpfr_init(r23263); mpfr_init_set_str(r23264, "1", 10, MPFR_RNDN); mpfr_init(r23265); mpfr_init(r23266); mpfr_init(r23267); mpfr_init(r23268); mpfr_init(r23269); mpfr_init(r23270); } double f_im(double x, double n) { mpfr_set_d(r23263, x, MPFR_RNDN); ; mpfr_add(r23265, r23263, r23264, MPFR_RNDN); mpfr_set_d(r23266, n, MPFR_RNDN); mpfr_div(r23267, r23264, r23266, MPFR_RNDN); mpfr_pow(r23268, r23265, r23267, MPFR_RNDN); mpfr_pow(r23269, r23263, r23267, MPFR_RNDN); mpfr_sub(r23270, r23268, r23269, MPFR_RNDN); return mpfr_get_d(r23270, MPFR_RNDN); } static mpfr_t r23271, r23272, r23273, r23274, r23275, r23276, r23277, r23278, r23279, r23280, r23281, r23282, r23283, r23284, r23285, r23286, r23287, r23288, r23289, r23290, r23291, r23292, r23293, r23294, r23295, r23296, r23297, r23298, r23299, r23300, r23301, r23302, r23303, r23304, r23305, r23306, r23307, r23308, r23309, r23310, r23311, r23312, r23313, r23314, r23315, r23316, r23317, r23318, r23319, r23320, r23321, r23322, r23323, r23324, r23325, r23326, r23327, r23328, r23329; void setup_mpfr_f_fm() { mpfr_set_default_prec(1360); mpfr_init_set_str(r23271, "1", 10, MPFR_RNDN); mpfr_init(r23272); mpfr_init(r23273); mpfr_init(r23274); mpfr_init(r23275); mpfr_init_set_str(r23276, "1/2", 10, MPFR_RNDN); mpfr_init(r23277); mpfr_init(r23278); mpfr_init(r23279); mpfr_init(r23280); mpfr_init(r23281); mpfr_init(r23282); mpfr_init(r23283); mpfr_init(r23284); mpfr_init_set_str(r23285, "-1.0967442860658084e-139", 10, MPFR_RNDN); mpfr_init(r23286); mpfr_init(r23287); mpfr_init(r23288); mpfr_init(r23289); mpfr_init(r23290); mpfr_init(r23291); mpfr_init(r23292); mpfr_init(r23293); mpfr_init(r23294); mpfr_init(r23295); mpfr_init(r23296); mpfr_init(r23297); mpfr_init_set_str(r23298, "4.366697785696835e-127", 10, MPFR_RNDN); mpfr_init(r23299); mpfr_init(r23300); mpfr_init(r23301); mpfr_init(r23302); mpfr_init(r23303); mpfr_init(r23304); mpfr_init(r23305); mpfr_init(r23306); mpfr_init(r23307); mpfr_init_set_str(r23308, "7.112718915844009e-68", 10, MPFR_RNDN); mpfr_init(r23309); mpfr_init_set_str(r23310, "5.34551359380326e-47", 10, MPFR_RNDN); mpfr_init(r23311); mpfr_init_set_str(r23312, "4.120051642266411e+60", 10, MPFR_RNDN); mpfr_init(r23313); mpfr_init(r23314); mpfr_init(r23315); mpfr_init(r23316); mpfr_init(r23317); mpfr_init(r23318); mpfr_init(r23319); mpfr_init(r23320); mpfr_init(r23321); mpfr_init_set_str(r23322, "3.0384777457631224e+291", 10, MPFR_RNDN); mpfr_init(r23323); mpfr_init(r23324); mpfr_init(r23325); mpfr_init(r23326); mpfr_init(r23327); mpfr_init(r23328); mpfr_init(r23329); } double f_fm(double x, double n) { ; mpfr_set_d(r23272, x, MPFR_RNDN); mpfr_set_d(r23273, n, MPFR_RNDN); mpfr_mul(r23274, r23272, r23273, MPFR_RNDN); mpfr_div(r23275, r23271, r23274, MPFR_RNDN); ; mpfr_div(r23277, r23276, r23272, MPFR_RNDN); mpfr_div(r23278, r23277, r23274, MPFR_RNDN); mpfr_sub(r23279, r23275, r23278, MPFR_RNDN); mpfr_log(r23280, r23272, MPFR_RNDN); mpfr_mul(r23281, r23273, r23273, MPFR_RNDN); mpfr_mul(r23282, r23281, r23272, MPFR_RNDN); mpfr_div(r23283, r23280, r23282, MPFR_RNDN); mpfr_add(r23284, r23279, r23283, MPFR_RNDN); ; mpfr_set_si(r23286, mpfr_cmp(r23284, r23285) <= 0, MPFR_RNDN); mpfr_add(r23287, r23271, r23272, MPFR_RNDN); mpfr_div(r23288, r23271, r23273, MPFR_RNDN); mpfr_pow(r23289, r23287, r23288, MPFR_RNDN); mpfr_sub(r23290, r23289, r23271, MPFR_RNDN); mpfr_div(r23291, r23276, r23273, MPFR_RNDN); mpfr_mul(r23292, r23280, r23291, MPFR_RNDN); mpfr_div(r23293, r23273, r23280, MPFR_RNDN); mpfr_div(r23294, r23292, r23293, MPFR_RNDN); mpfr_sub(r23295, r23290, r23294, MPFR_RNDN); mpfr_div(r23296, r23280, r23273, MPFR_RNDN); mpfr_sub(r23297, r23295, r23296, MPFR_RNDN); ; mpfr_set_si(r23299, mpfr_cmp(r23284, r23298) <= 0, MPFR_RNDN); mpfr_div(r23300, r23288, r23272, MPFR_RNDN); mpfr_mul(r23301, r23272, r23272, MPFR_RNDN); mpfr_div(r23302, r23291, r23301, MPFR_RNDN); mpfr_sub(r23303, r23300, r23302, MPFR_RNDN); mpfr_mul(r23304, r23273, r23272, MPFR_RNDN); mpfr_mul(r23305, r23304, r23273, MPFR_RNDN); mpfr_div(r23306, r23280, r23305, MPFR_RNDN); mpfr_add(r23307, r23303, r23306, MPFR_RNDN); ; mpfr_set_si(r23309, mpfr_cmp(r23284, r23308) <= 0, MPFR_RNDN); ; mpfr_set_si(r23311, mpfr_cmp(r23284, r23310) <= 0, MPFR_RNDN); ; mpfr_set_si(r23313, mpfr_cmp(r23284, r23312) <= 0, MPFR_RNDN); mpfr_add(r23314, r23272, r23271, MPFR_RNDN); mpfr_cbrt(r23315, r23314, MPFR_RNDN); mpfr_mul(r23316, r23315, r23315, MPFR_RNDN); mpfr_pow(r23317, r23316, r23288, MPFR_RNDN); mpfr_pow(r23318, r23315, r23288, MPFR_RNDN); mpfr_mul(r23319, r23317, r23318, MPFR_RNDN); mpfr_pow(r23320, r23272, r23288, MPFR_RNDN); mpfr_sub(r23321, r23319, r23320, MPFR_RNDN); ; mpfr_set_si(r23323, mpfr_cmp(r23284, r23322) <= 0, MPFR_RNDN); if (mpfr_get_si(r23323, MPFR_RNDN)) { mpfr_set(r23324, r23297, MPFR_RNDN); } else { mpfr_set(r23324, r23321, MPFR_RNDN); }; if (mpfr_get_si(r23313, MPFR_RNDN)) { mpfr_set(r23325, r23321, MPFR_RNDN); } else { mpfr_set(r23325, r23324, MPFR_RNDN); }; if (mpfr_get_si(r23311, MPFR_RNDN)) { mpfr_set(r23326, r23284, MPFR_RNDN); } else { mpfr_set(r23326, r23325, MPFR_RNDN); }; if (mpfr_get_si(r23309, MPFR_RNDN)) { mpfr_set(r23327, r23297, MPFR_RNDN); } else { mpfr_set(r23327, r23326, MPFR_RNDN); }; if (mpfr_get_si(r23299, MPFR_RNDN)) { mpfr_set(r23328, r23307, MPFR_RNDN); } else { mpfr_set(r23328, r23327, MPFR_RNDN); }; if (mpfr_get_si(r23286, MPFR_RNDN)) { mpfr_set(r23329, r23297, MPFR_RNDN); } else { mpfr_set(r23329, r23328, MPFR_RNDN); }; return mpfr_get_d(r23329, MPFR_RNDN); } static mpfr_t r23330, r23331, r23332, r23333, r23334, r23335, r23336, r23337, r23338, r23339, r23340, r23341, r23342, r23343, r23344, r23345, r23346, r23347, r23348, r23349, r23350, r23351, r23352, r23353, r23354, r23355, r23356, r23357, r23358, r23359, r23360, r23361, r23362, r23363, r23364, r23365, r23366, r23367, r23368, r23369, r23370, r23371, r23372, r23373, r23374, r23375, r23376, r23377, r23378, r23379, r23380, r23381, r23382, r23383, r23384, r23385, r23386, r23387, r23388; void setup_mpfr_f_dm() { mpfr_set_default_prec(1360); mpfr_init_set_str(r23330, "1", 10, MPFR_RNDN); mpfr_init(r23331); mpfr_init(r23332); mpfr_init(r23333); mpfr_init(r23334); mpfr_init_set_str(r23335, "1/2", 10, MPFR_RNDN); mpfr_init(r23336); mpfr_init(r23337); mpfr_init(r23338); mpfr_init(r23339); mpfr_init(r23340); mpfr_init(r23341); mpfr_init(r23342); mpfr_init(r23343); mpfr_init_set_str(r23344, "-1.0967442860658084e-139", 10, MPFR_RNDN); mpfr_init(r23345); mpfr_init(r23346); mpfr_init(r23347); mpfr_init(r23348); mpfr_init(r23349); mpfr_init(r23350); mpfr_init(r23351); mpfr_init(r23352); mpfr_init(r23353); mpfr_init(r23354); mpfr_init(r23355); mpfr_init(r23356); mpfr_init_set_str(r23357, "4.366697785696835e-127", 10, MPFR_RNDN); mpfr_init(r23358); mpfr_init(r23359); mpfr_init(r23360); mpfr_init(r23361); mpfr_init(r23362); mpfr_init(r23363); mpfr_init(r23364); mpfr_init(r23365); mpfr_init(r23366); mpfr_init_set_str(r23367, "7.112718915844009e-68", 10, MPFR_RNDN); mpfr_init(r23368); mpfr_init_set_str(r23369, "5.34551359380326e-47", 10, MPFR_RNDN); mpfr_init(r23370); mpfr_init_set_str(r23371, "4.120051642266411e+60", 10, MPFR_RNDN); mpfr_init(r23372); mpfr_init(r23373); mpfr_init(r23374); mpfr_init(r23375); mpfr_init(r23376); mpfr_init(r23377); mpfr_init(r23378); mpfr_init(r23379); mpfr_init(r23380); mpfr_init_set_str(r23381, "3.0384777457631224e+291", 10, MPFR_RNDN); mpfr_init(r23382); mpfr_init(r23383); mpfr_init(r23384); mpfr_init(r23385); mpfr_init(r23386); mpfr_init(r23387); mpfr_init(r23388); } double f_dm(double x, double n) { ; mpfr_set_d(r23331, x, MPFR_RNDN); mpfr_set_d(r23332, n, MPFR_RNDN); mpfr_mul(r23333, r23331, r23332, MPFR_RNDN); mpfr_div(r23334, r23330, r23333, MPFR_RNDN); ; mpfr_div(r23336, r23335, r23331, MPFR_RNDN); mpfr_div(r23337, r23336, r23333, MPFR_RNDN); mpfr_sub(r23338, r23334, r23337, MPFR_RNDN); mpfr_log(r23339, r23331, MPFR_RNDN); mpfr_mul(r23340, r23332, r23332, MPFR_RNDN); mpfr_mul(r23341, r23340, r23331, MPFR_RNDN); mpfr_div(r23342, r23339, r23341, MPFR_RNDN); mpfr_add(r23343, r23338, r23342, MPFR_RNDN); ; mpfr_set_si(r23345, mpfr_cmp(r23343, r23344) <= 0, MPFR_RNDN); mpfr_add(r23346, r23330, r23331, MPFR_RNDN); mpfr_div(r23347, r23330, r23332, MPFR_RNDN); mpfr_pow(r23348, r23346, r23347, MPFR_RNDN); mpfr_sub(r23349, r23348, r23330, MPFR_RNDN); mpfr_div(r23350, r23335, r23332, MPFR_RNDN); mpfr_mul(r23351, r23339, r23350, MPFR_RNDN); mpfr_div(r23352, r23332, r23339, MPFR_RNDN); mpfr_div(r23353, r23351, r23352, MPFR_RNDN); mpfr_sub(r23354, r23349, r23353, MPFR_RNDN); mpfr_div(r23355, r23339, r23332, MPFR_RNDN); mpfr_sub(r23356, r23354, r23355, MPFR_RNDN); ; mpfr_set_si(r23358, mpfr_cmp(r23343, r23357) <= 0, MPFR_RNDN); mpfr_div(r23359, r23347, r23331, MPFR_RNDN); mpfr_mul(r23360, r23331, r23331, MPFR_RNDN); mpfr_div(r23361, r23350, r23360, MPFR_RNDN); mpfr_sub(r23362, r23359, r23361, MPFR_RNDN); mpfr_mul(r23363, r23332, r23331, MPFR_RNDN); mpfr_mul(r23364, r23363, r23332, MPFR_RNDN); mpfr_div(r23365, r23339, r23364, MPFR_RNDN); mpfr_add(r23366, r23362, r23365, MPFR_RNDN); ; mpfr_set_si(r23368, mpfr_cmp(r23343, r23367) <= 0, MPFR_RNDN); ; mpfr_set_si(r23370, mpfr_cmp(r23343, r23369) <= 0, MPFR_RNDN); ; mpfr_set_si(r23372, mpfr_cmp(r23343, r23371) <= 0, MPFR_RNDN); mpfr_add(r23373, r23331, r23330, MPFR_RNDN); mpfr_cbrt(r23374, r23373, MPFR_RNDN); mpfr_mul(r23375, r23374, r23374, MPFR_RNDN); mpfr_pow(r23376, r23375, r23347, MPFR_RNDN); mpfr_pow(r23377, r23374, r23347, MPFR_RNDN); mpfr_mul(r23378, r23376, r23377, MPFR_RNDN); mpfr_pow(r23379, r23331, r23347, MPFR_RNDN); mpfr_sub(r23380, r23378, r23379, MPFR_RNDN); ; mpfr_set_si(r23382, mpfr_cmp(r23343, r23381) <= 0, MPFR_RNDN); if (mpfr_get_si(r23382, MPFR_RNDN)) { mpfr_set(r23383, r23356, MPFR_RNDN); } else { mpfr_set(r23383, r23380, MPFR_RNDN); }; if (mpfr_get_si(r23372, MPFR_RNDN)) { mpfr_set(r23384, r23380, MPFR_RNDN); } else { mpfr_set(r23384, r23383, MPFR_RNDN); }; if (mpfr_get_si(r23370, MPFR_RNDN)) { mpfr_set(r23385, r23343, MPFR_RNDN); } else { mpfr_set(r23385, r23384, MPFR_RNDN); }; if (mpfr_get_si(r23368, MPFR_RNDN)) { mpfr_set(r23386, r23356, MPFR_RNDN); } else { mpfr_set(r23386, r23385, MPFR_RNDN); }; if (mpfr_get_si(r23358, MPFR_RNDN)) { mpfr_set(r23387, r23366, MPFR_RNDN); } else { mpfr_set(r23387, r23386, MPFR_RNDN); }; if (mpfr_get_si(r23345, MPFR_RNDN)) { mpfr_set(r23388, r23356, MPFR_RNDN); } else { mpfr_set(r23388, r23387, MPFR_RNDN); }; return mpfr_get_d(r23388, MPFR_RNDN); }