#include #include #include #include #include char *name = "2nthrt (problem 3.4.6)"; double f_if(float x, float n) { float r21073 = x; float r21074 = 1; float r21075 = r21073 + r21074; float r21076 = n; float r21077 = r21074 / r21076; float r21078 = pow(r21075, r21077); float r21079 = pow(r21073, r21077); float r21080 = r21078 - r21079; return r21080; } double f_id(double x, double n) { double r21081 = x; double r21082 = 1; double r21083 = r21081 + r21082; double r21084 = n; double r21085 = r21082 / r21084; double r21086 = pow(r21083, r21085); double r21087 = pow(r21081, r21085); double r21088 = r21086 - r21087; return r21088; } double f_of(float x, float n) { float r21089 = 1; float r21090 = n; float r21091 = r21089 / r21090; float r21092 = x; float r21093 = r21091 / r21092; float r21094 = log(r21092); float r21095 = r21094 / r21090; float r21096 = r21093 + r21095; float r21097 = pow(r21092, r21091); float r21098 = r21089 - r21097; float r21099 = r21096 + r21098; float r21100 = -10.138111786905007; bool r21101 = r21099 <= r21100; float r21102 = r21089 + r21092; float r21103 = pow(r21102, r21091); float r21104 = r21103 - r21097; float r21105 = exp(r21104); float r21106 = expm1(r21105); float r21107 = log1p(r21106); float r21108 = log(r21107); float r21109 = 7.78415512267959e-06; bool r21110 = r21099 <= r21109; float r21111 = log(r21089); float r21112 = r21094 / r21092; float r21113 = r21090 * r21090; float r21114 = r21112 / r21113; float r21115 = r21111 + r21114; float r21116 = 1/2; float r21117 = r21116 / r21090; float r21118 = r21092 * r21092; float r21119 = r21117 / r21118; float r21120 = r21119 - r21093; float r21121 = r21115 - r21120; float r21122 = +inf.0; bool r21123 = r21099 <= r21122; float r21124 = exp(1.0); float r21125 = log1p(r21092); float r21126 = r21125 / r21090; float r21127 = sqrt(r21126); float r21128 = pow(r21124, r21127); float r21129 = pow(r21128, r21127); float r21130 = r21129 - r21097; float r21131 = r21123 ? r21130 : r21130; float r21132 = r21110 ? r21121 : r21131; float r21133 = r21101 ? r21108 : r21132; return r21133; } double f_od(double x, double n) { double r21134 = 1; double r21135 = n; double r21136 = r21134 / r21135; double r21137 = x; double r21138 = r21136 / r21137; double r21139 = log(r21137); double r21140 = r21139 / r21135; double r21141 = r21138 + r21140; double r21142 = pow(r21137, r21136); double r21143 = r21134 - r21142; double r21144 = r21141 + r21143; double r21145 = -10.138111786905007; bool r21146 = r21144 <= r21145; double r21147 = r21134 + r21137; double r21148 = pow(r21147, r21136); double r21149 = r21148 - r21142; double r21150 = exp(r21149); double r21151 = expm1(r21150); double r21152 = log1p(r21151); double r21153 = log(r21152); double r21154 = 7.78415512267959e-06; bool r21155 = r21144 <= r21154; double r21156 = log(r21134); double r21157 = r21139 / r21137; double r21158 = r21135 * r21135; double r21159 = r21157 / r21158; double r21160 = r21156 + r21159; double r21161 = 1/2; double r21162 = r21161 / r21135; double r21163 = r21137 * r21137; double r21164 = r21162 / r21163; double r21165 = r21164 - r21138; double r21166 = r21160 - r21165; double r21167 = +inf.0; bool r21168 = r21144 <= r21167; double r21169 = exp(1.0); double r21170 = log1p(r21137); double r21171 = r21170 / r21135; double r21172 = sqrt(r21171); double r21173 = pow(r21169, r21172); double r21174 = pow(r21173, r21172); double r21175 = r21174 - r21142; double r21176 = r21168 ? r21175 : r21175; double r21177 = r21155 ? r21166 : r21176; double r21178 = r21146 ? r21153 : r21177; return r21178; } 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 r21179, r21180, r21181, r21182, r21183, r21184, r21185, r21186; void setup_mpfr_f_im() { mpfr_set_default_prec(1424); mpfr_init(r21179); mpfr_init_set_str(r21180, "1", 10, MPFR_RNDN); mpfr_init(r21181); mpfr_init(r21182); mpfr_init(r21183); mpfr_init(r21184); mpfr_init(r21185); mpfr_init(r21186); } double f_im(double x, double n) { mpfr_set_d(r21179, x, MPFR_RNDN); ; mpfr_add(r21181, r21179, r21180, MPFR_RNDN); mpfr_set_d(r21182, n, MPFR_RNDN); mpfr_div(r21183, r21180, r21182, MPFR_RNDN); mpfr_pow(r21184, r21181, r21183, MPFR_RNDN); mpfr_pow(r21185, r21179, r21183, MPFR_RNDN); mpfr_sub(r21186, r21184, r21185, MPFR_RNDN); return mpfr_get_d(r21186, MPFR_RNDN); } static mpfr_t r21187, r21188, r21189, r21190, r21191, r21192, r21193, r21194, r21195, r21196, r21197, r21198, r21199, r21200, r21201, r21202, r21203, r21204, r21205, r21206, r21207, r21208, r21209, r21210, r21211, r21212, r21213, r21214, r21215, r21216, r21217, r21218, r21219, r21220, r21221, r21222, r21223, r21224, r21225, r21226, r21227, r21228, r21229, r21230, r21231; void setup_mpfr_f_fm() { mpfr_set_default_prec(1424); mpfr_init_set_str(r21187, "1", 10, MPFR_RNDN); mpfr_init(r21188); mpfr_init(r21189); mpfr_init(r21190); mpfr_init(r21191); mpfr_init(r21192); mpfr_init(r21193); mpfr_init(r21194); mpfr_init(r21195); mpfr_init(r21196); mpfr_init(r21197); mpfr_init_set_str(r21198, "-10.138111786905007", 10, MPFR_RNDN); mpfr_init(r21199); mpfr_init(r21200); mpfr_init(r21201); mpfr_init(r21202); mpfr_init(r21203); mpfr_init(r21204); mpfr_init(r21205); mpfr_init(r21206); mpfr_init_set_str(r21207, "7.78415512267959e-06", 10, MPFR_RNDN); mpfr_init(r21208); mpfr_init(r21209); mpfr_init(r21210); mpfr_init(r21211); mpfr_init(r21212); mpfr_init(r21213); mpfr_init_set_str(r21214, "1/2", 10, MPFR_RNDN); mpfr_init(r21215); mpfr_init(r21216); mpfr_init(r21217); mpfr_init(r21218); mpfr_init(r21219); mpfr_init_set_str(r21220, "+inf.0", 10, MPFR_RNDN); mpfr_init(r21221); mpfr_init(r21222); mpfr_init(r21223); mpfr_init(r21224); mpfr_init(r21225); mpfr_init(r21226); mpfr_init(r21227); mpfr_init(r21228); mpfr_init(r21229); mpfr_init(r21230); mpfr_init(r21231); } double f_fm(double x, double n) { ; mpfr_set_d(r21188, n, MPFR_RNDN); mpfr_div(r21189, r21187, r21188, MPFR_RNDN); mpfr_set_d(r21190, x, MPFR_RNDN); mpfr_div(r21191, r21189, r21190, MPFR_RNDN); mpfr_log(r21192, r21190, MPFR_RNDN); mpfr_div(r21193, r21192, r21188, MPFR_RNDN); mpfr_add(r21194, r21191, r21193, MPFR_RNDN); mpfr_pow(r21195, r21190, r21189, MPFR_RNDN); mpfr_sub(r21196, r21187, r21195, MPFR_RNDN); mpfr_add(r21197, r21194, r21196, MPFR_RNDN); ; mpfr_set_si(r21199, mpfr_cmp(r21197, r21198) <= 0, MPFR_RNDN); mpfr_add(r21200, r21187, r21190, MPFR_RNDN); mpfr_pow(r21201, r21200, r21189, MPFR_RNDN); mpfr_sub(r21202, r21201, r21195, MPFR_RNDN); mpfr_exp(r21203, r21202, MPFR_RNDN); mpfr_expm1(r21204, r21203, MPFR_RNDN); mpfr_log1p(r21205, r21204, MPFR_RNDN); mpfr_log(r21206, r21205, MPFR_RNDN); ; mpfr_set_si(r21208, mpfr_cmp(r21197, r21207) <= 0, MPFR_RNDN); mpfr_log(r21209, r21187, MPFR_RNDN); mpfr_div(r21210, r21192, r21190, MPFR_RNDN); mpfr_mul(r21211, r21188, r21188, MPFR_RNDN); mpfr_div(r21212, r21210, r21211, MPFR_RNDN); mpfr_add(r21213, r21209, r21212, MPFR_RNDN); ; mpfr_div(r21215, r21214, r21188, MPFR_RNDN); mpfr_mul(r21216, r21190, r21190, MPFR_RNDN); mpfr_div(r21217, r21215, r21216, MPFR_RNDN); mpfr_sub(r21218, r21217, r21191, MPFR_RNDN); mpfr_sub(r21219, r21213, r21218, MPFR_RNDN); ; mpfr_set_si(r21221, mpfr_cmp(r21197, r21220) <= 0, MPFR_RNDN); mpfr_set_si(r21222, 1, MPFR_RNDN), mpfr_const_exp(r21222, r21222, MPFR_RNDN); mpfr_log1p(r21223, r21190, MPFR_RNDN); mpfr_div(r21224, r21223, r21188, MPFR_RNDN); mpfr_sqrt(r21225, r21224, MPFR_RNDN); mpfr_pow(r21226, r21222, r21225, MPFR_RNDN); mpfr_pow(r21227, r21226, r21225, MPFR_RNDN); mpfr_sub(r21228, r21227, r21195, MPFR_RNDN); if (mpfr_get_si(r21221, MPFR_RNDN)) { mpfr_set(r21229, r21228, MPFR_RNDN); } else { mpfr_set(r21229, r21228, MPFR_RNDN); }; if (mpfr_get_si(r21208, MPFR_RNDN)) { mpfr_set(r21230, r21219, MPFR_RNDN); } else { mpfr_set(r21230, r21229, MPFR_RNDN); }; if (mpfr_get_si(r21199, MPFR_RNDN)) { mpfr_set(r21231, r21206, MPFR_RNDN); } else { mpfr_set(r21231, r21230, MPFR_RNDN); }; return mpfr_get_d(r21231, MPFR_RNDN); } static mpfr_t r21232, r21233, r21234, r21235, r21236, r21237, r21238, r21239, r21240, r21241, r21242, r21243, r21244, r21245, r21246, r21247, r21248, r21249, r21250, r21251, r21252, r21253, r21254, r21255, r21256, r21257, r21258, r21259, r21260, r21261, r21262, r21263, r21264, r21265, r21266, r21267, r21268, r21269, r21270, r21271, r21272, r21273, r21274, r21275, r21276; void setup_mpfr_f_dm() { mpfr_set_default_prec(1424); mpfr_init_set_str(r21232, "1", 10, MPFR_RNDN); mpfr_init(r21233); mpfr_init(r21234); mpfr_init(r21235); mpfr_init(r21236); mpfr_init(r21237); mpfr_init(r21238); mpfr_init(r21239); mpfr_init(r21240); mpfr_init(r21241); mpfr_init(r21242); mpfr_init_set_str(r21243, "-10.138111786905007", 10, MPFR_RNDN); mpfr_init(r21244); mpfr_init(r21245); mpfr_init(r21246); mpfr_init(r21247); mpfr_init(r21248); mpfr_init(r21249); mpfr_init(r21250); mpfr_init(r21251); mpfr_init_set_str(r21252, "7.78415512267959e-06", 10, MPFR_RNDN); mpfr_init(r21253); mpfr_init(r21254); mpfr_init(r21255); mpfr_init(r21256); mpfr_init(r21257); mpfr_init(r21258); mpfr_init_set_str(r21259, "1/2", 10, MPFR_RNDN); mpfr_init(r21260); mpfr_init(r21261); mpfr_init(r21262); mpfr_init(r21263); mpfr_init(r21264); mpfr_init_set_str(r21265, "+inf.0", 10, MPFR_RNDN); mpfr_init(r21266); mpfr_init(r21267); mpfr_init(r21268); mpfr_init(r21269); mpfr_init(r21270); mpfr_init(r21271); mpfr_init(r21272); mpfr_init(r21273); mpfr_init(r21274); mpfr_init(r21275); mpfr_init(r21276); } double f_dm(double x, double n) { ; mpfr_set_d(r21233, n, MPFR_RNDN); mpfr_div(r21234, r21232, r21233, MPFR_RNDN); mpfr_set_d(r21235, x, MPFR_RNDN); mpfr_div(r21236, r21234, r21235, MPFR_RNDN); mpfr_log(r21237, r21235, MPFR_RNDN); mpfr_div(r21238, r21237, r21233, MPFR_RNDN); mpfr_add(r21239, r21236, r21238, MPFR_RNDN); mpfr_pow(r21240, r21235, r21234, MPFR_RNDN); mpfr_sub(r21241, r21232, r21240, MPFR_RNDN); mpfr_add(r21242, r21239, r21241, MPFR_RNDN); ; mpfr_set_si(r21244, mpfr_cmp(r21242, r21243) <= 0, MPFR_RNDN); mpfr_add(r21245, r21232, r21235, MPFR_RNDN); mpfr_pow(r21246, r21245, r21234, MPFR_RNDN); mpfr_sub(r21247, r21246, r21240, MPFR_RNDN); mpfr_exp(r21248, r21247, MPFR_RNDN); mpfr_expm1(r21249, r21248, MPFR_RNDN); mpfr_log1p(r21250, r21249, MPFR_RNDN); mpfr_log(r21251, r21250, MPFR_RNDN); ; mpfr_set_si(r21253, mpfr_cmp(r21242, r21252) <= 0, MPFR_RNDN); mpfr_log(r21254, r21232, MPFR_RNDN); mpfr_div(r21255, r21237, r21235, MPFR_RNDN); mpfr_mul(r21256, r21233, r21233, MPFR_RNDN); mpfr_div(r21257, r21255, r21256, MPFR_RNDN); mpfr_add(r21258, r21254, r21257, MPFR_RNDN); ; mpfr_div(r21260, r21259, r21233, MPFR_RNDN); mpfr_mul(r21261, r21235, r21235, MPFR_RNDN); mpfr_div(r21262, r21260, r21261, MPFR_RNDN); mpfr_sub(r21263, r21262, r21236, MPFR_RNDN); mpfr_sub(r21264, r21258, r21263, MPFR_RNDN); ; mpfr_set_si(r21266, mpfr_cmp(r21242, r21265) <= 0, MPFR_RNDN); mpfr_set_si(r21267, 1, MPFR_RNDN), mpfr_const_exp(r21267, r21267, MPFR_RNDN); mpfr_log1p(r21268, r21235, MPFR_RNDN); mpfr_div(r21269, r21268, r21233, MPFR_RNDN); mpfr_sqrt(r21270, r21269, MPFR_RNDN); mpfr_pow(r21271, r21267, r21270, MPFR_RNDN); mpfr_pow(r21272, r21271, r21270, MPFR_RNDN); mpfr_sub(r21273, r21272, r21240, MPFR_RNDN); if (mpfr_get_si(r21266, MPFR_RNDN)) { mpfr_set(r21274, r21273, MPFR_RNDN); } else { mpfr_set(r21274, r21273, MPFR_RNDN); }; if (mpfr_get_si(r21253, MPFR_RNDN)) { mpfr_set(r21275, r21264, MPFR_RNDN); } else { mpfr_set(r21275, r21274, MPFR_RNDN); }; if (mpfr_get_si(r21244, MPFR_RNDN)) { mpfr_set(r21276, r21251, MPFR_RNDN); } else { mpfr_set(r21276, r21275, MPFR_RNDN); }; return mpfr_get_d(r21276, MPFR_RNDN); }