#include #include #include #include #include char *name = "2nthrt (problem 3.4.6)"; double f_if(float x, float n) { float r21077 = x; float r21078 = 1; float r21079 = r21077 + r21078; float r21080 = n; float r21081 = r21078 / r21080; float r21082 = pow(r21079, r21081); float r21083 = pow(r21077, r21081); float r21084 = r21082 - r21083; return r21084; } double f_id(double x, double n) { double r21085 = x; double r21086 = 1; double r21087 = r21085 + r21086; double r21088 = n; double r21089 = r21086 / r21088; double r21090 = pow(r21087, r21089); double r21091 = pow(r21085, r21089); double r21092 = r21090 - r21091; return r21092; } double f_of(float x, float n) { float r21093 = 1; float r21094 = n; float r21095 = r21093 / r21094; float r21096 = x; float r21097 = r21095 / r21096; float r21098 = log(r21096); float r21099 = r21098 / r21094; float r21100 = r21097 + r21099; float r21101 = pow(r21096, r21095); float r21102 = r21093 - r21101; float r21103 = r21100 + r21102; float r21104 = -7.6035857662203785; bool r21105 = r21103 <= r21104; float r21106 = r21093 + r21096; float r21107 = pow(r21106, r21095); float r21108 = exp(r21107); float r21109 = -r21101; float r21110 = exp(r21109); float r21111 = sqrt(r21110); float r21112 = r21108 * r21111; float r21113 = r21112 * r21111; float r21114 = log(r21113); float r21115 = 7.78415512267959e-06; bool r21116 = r21103 <= r21115; float r21117 = log(r21093); float r21118 = r21094 * r21094; float r21119 = r21098 / r21118; float r21120 = r21119 / r21096; float r21121 = r21117 + r21120; float r21122 = 1/2; float r21123 = r21122 / r21094; float r21124 = r21096 * r21096; float r21125 = r21123 / r21124; float r21126 = r21097 - r21125; float r21127 = r21121 + r21126; float r21128 = +inf.0; bool r21129 = r21103 <= r21128; float r21130 = r21096 + r21093; float r21131 = pow(r21130, r21095); float r21132 = r21131 * r21131; float r21133 = r21101 * r21101; float r21134 = r21132 - r21133; float r21135 = r21131 + r21101; float r21136 = r21134 / r21135; float r21137 = r21129 ? r21136 : r21136; float r21138 = r21116 ? r21127 : r21137; float r21139 = r21105 ? r21114 : r21138; return r21139; } double f_od(double x, double n) { double r21140 = 1; double r21141 = n; double r21142 = r21140 / r21141; double r21143 = x; double r21144 = r21142 / r21143; double r21145 = log(r21143); double r21146 = r21145 / r21141; double r21147 = r21144 + r21146; double r21148 = pow(r21143, r21142); double r21149 = r21140 - r21148; double r21150 = r21147 + r21149; double r21151 = -7.6035857662203785; bool r21152 = r21150 <= r21151; double r21153 = r21140 + r21143; double r21154 = pow(r21153, r21142); double r21155 = exp(r21154); double r21156 = -r21148; double r21157 = exp(r21156); double r21158 = sqrt(r21157); double r21159 = r21155 * r21158; double r21160 = r21159 * r21158; double r21161 = log(r21160); double r21162 = 7.78415512267959e-06; bool r21163 = r21150 <= r21162; double r21164 = log(r21140); double r21165 = r21141 * r21141; double r21166 = r21145 / r21165; double r21167 = r21166 / r21143; double r21168 = r21164 + r21167; double r21169 = 1/2; double r21170 = r21169 / r21141; double r21171 = r21143 * r21143; double r21172 = r21170 / r21171; double r21173 = r21144 - r21172; double r21174 = r21168 + r21173; double r21175 = +inf.0; bool r21176 = r21150 <= r21175; double r21177 = r21143 + r21140; double r21178 = pow(r21177, r21142); double r21179 = r21178 * r21178; double r21180 = r21148 * r21148; double r21181 = r21179 - r21180; double r21182 = r21178 + r21148; double r21183 = r21181 / r21182; double r21184 = r21176 ? r21183 : r21183; double r21185 = r21163 ? r21174 : r21184; double r21186 = r21152 ? r21161 : r21185; return r21186; } 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 r21187, r21188, r21189, r21190, r21191, r21192, r21193, r21194; void setup_mpfr_f_im() { mpfr_set_default_prec(1424); mpfr_init(r21187); mpfr_init_set_str(r21188, "1", 10, MPFR_RNDN); mpfr_init(r21189); mpfr_init(r21190); mpfr_init(r21191); mpfr_init(r21192); mpfr_init(r21193); mpfr_init(r21194); } double f_im(double x, double n) { mpfr_set_d(r21187, x, MPFR_RNDN); ; mpfr_add(r21189, r21187, r21188, MPFR_RNDN); mpfr_set_d(r21190, n, MPFR_RNDN); mpfr_div(r21191, r21188, r21190, MPFR_RNDN); mpfr_pow(r21192, r21189, r21191, MPFR_RNDN); mpfr_pow(r21193, r21187, r21191, MPFR_RNDN); mpfr_sub(r21194, r21192, r21193, MPFR_RNDN); return mpfr_get_d(r21194, MPFR_RNDN); } static mpfr_t 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, r21232, r21233, r21234, r21235, r21236, r21237, r21238, r21239, r21240, r21241; void setup_mpfr_f_fm() { mpfr_set_default_prec(1424); mpfr_init_set_str(r21195, "1", 10, MPFR_RNDN); mpfr_init(r21196); mpfr_init(r21197); mpfr_init(r21198); mpfr_init(r21199); mpfr_init(r21200); mpfr_init(r21201); mpfr_init(r21202); mpfr_init(r21203); mpfr_init(r21204); mpfr_init(r21205); mpfr_init_set_str(r21206, "-7.6035857662203785", 10, MPFR_RNDN); mpfr_init(r21207); mpfr_init(r21208); mpfr_init(r21209); mpfr_init(r21210); mpfr_init(r21211); mpfr_init(r21212); mpfr_init(r21213); mpfr_init(r21214); mpfr_init(r21215); mpfr_init(r21216); mpfr_init_set_str(r21217, "7.78415512267959e-06", 10, MPFR_RNDN); mpfr_init(r21218); mpfr_init(r21219); mpfr_init(r21220); mpfr_init(r21221); mpfr_init(r21222); mpfr_init(r21223); mpfr_init_set_str(r21224, "1/2", 10, MPFR_RNDN); mpfr_init(r21225); mpfr_init(r21226); mpfr_init(r21227); mpfr_init(r21228); mpfr_init(r21229); mpfr_init_set_str(r21230, "+inf.0", 10, MPFR_RNDN); mpfr_init(r21231); mpfr_init(r21232); 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); } double f_fm(double x, double n) { ; mpfr_set_d(r21196, n, MPFR_RNDN); mpfr_div(r21197, r21195, r21196, MPFR_RNDN); mpfr_set_d(r21198, x, MPFR_RNDN); mpfr_div(r21199, r21197, r21198, MPFR_RNDN); mpfr_log(r21200, r21198, MPFR_RNDN); mpfr_div(r21201, r21200, r21196, MPFR_RNDN); mpfr_add(r21202, r21199, r21201, MPFR_RNDN); mpfr_pow(r21203, r21198, r21197, MPFR_RNDN); mpfr_sub(r21204, r21195, r21203, MPFR_RNDN); mpfr_add(r21205, r21202, r21204, MPFR_RNDN); ; mpfr_set_si(r21207, mpfr_cmp(r21205, r21206) <= 0, MPFR_RNDN); mpfr_add(r21208, r21195, r21198, MPFR_RNDN); mpfr_pow(r21209, r21208, r21197, MPFR_RNDN); mpfr_exp(r21210, r21209, MPFR_RNDN); mpfr_neg(r21211, r21203, MPFR_RNDN); mpfr_exp(r21212, r21211, MPFR_RNDN); mpfr_sqrt(r21213, r21212, MPFR_RNDN); mpfr_mul(r21214, r21210, r21213, MPFR_RNDN); mpfr_mul(r21215, r21214, r21213, MPFR_RNDN); mpfr_log(r21216, r21215, MPFR_RNDN); ; mpfr_set_si(r21218, mpfr_cmp(r21205, r21217) <= 0, MPFR_RNDN); mpfr_log(r21219, r21195, MPFR_RNDN); mpfr_mul(r21220, r21196, r21196, MPFR_RNDN); mpfr_div(r21221, r21200, r21220, MPFR_RNDN); mpfr_div(r21222, r21221, r21198, MPFR_RNDN); mpfr_add(r21223, r21219, r21222, MPFR_RNDN); ; mpfr_div(r21225, r21224, r21196, MPFR_RNDN); mpfr_mul(r21226, r21198, r21198, MPFR_RNDN); mpfr_div(r21227, r21225, r21226, MPFR_RNDN); mpfr_sub(r21228, r21199, r21227, MPFR_RNDN); mpfr_add(r21229, r21223, r21228, MPFR_RNDN); ; mpfr_set_si(r21231, mpfr_cmp(r21205, r21230) <= 0, MPFR_RNDN); mpfr_add(r21232, r21198, r21195, MPFR_RNDN); mpfr_pow(r21233, r21232, r21197, MPFR_RNDN); mpfr_mul(r21234, r21233, r21233, MPFR_RNDN); mpfr_mul(r21235, r21203, r21203, MPFR_RNDN); mpfr_sub(r21236, r21234, r21235, MPFR_RNDN); mpfr_add(r21237, r21233, r21203, MPFR_RNDN); mpfr_div(r21238, r21236, r21237, MPFR_RNDN); if (mpfr_get_si(r21231, MPFR_RNDN)) { mpfr_set(r21239, r21238, MPFR_RNDN); } else { mpfr_set(r21239, r21238, MPFR_RNDN); }; if (mpfr_get_si(r21218, MPFR_RNDN)) { mpfr_set(r21240, r21229, MPFR_RNDN); } else { mpfr_set(r21240, r21239, MPFR_RNDN); }; if (mpfr_get_si(r21207, MPFR_RNDN)) { mpfr_set(r21241, r21216, MPFR_RNDN); } else { mpfr_set(r21241, r21240, MPFR_RNDN); }; return mpfr_get_d(r21241, MPFR_RNDN); } static mpfr_t 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, r21277, r21278, r21279, r21280, r21281, r21282, r21283, r21284, r21285, r21286, r21287, r21288; void setup_mpfr_f_dm() { mpfr_set_default_prec(1424); mpfr_init_set_str(r21242, "1", 10, MPFR_RNDN); mpfr_init(r21243); 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(r21252); mpfr_init_set_str(r21253, "-7.6035857662203785", 10, MPFR_RNDN); mpfr_init(r21254); mpfr_init(r21255); mpfr_init(r21256); mpfr_init(r21257); mpfr_init(r21258); mpfr_init(r21259); mpfr_init(r21260); mpfr_init(r21261); mpfr_init(r21262); mpfr_init(r21263); mpfr_init_set_str(r21264, "7.78415512267959e-06", 10, MPFR_RNDN); mpfr_init(r21265); mpfr_init(r21266); mpfr_init(r21267); mpfr_init(r21268); mpfr_init(r21269); mpfr_init(r21270); mpfr_init_set_str(r21271, "1/2", 10, MPFR_RNDN); mpfr_init(r21272); mpfr_init(r21273); mpfr_init(r21274); mpfr_init(r21275); mpfr_init(r21276); mpfr_init_set_str(r21277, "+inf.0", 10, MPFR_RNDN); mpfr_init(r21278); mpfr_init(r21279); mpfr_init(r21280); mpfr_init(r21281); mpfr_init(r21282); mpfr_init(r21283); mpfr_init(r21284); mpfr_init(r21285); mpfr_init(r21286); mpfr_init(r21287); mpfr_init(r21288); } double f_dm(double x, double n) { ; mpfr_set_d(r21243, n, MPFR_RNDN); mpfr_div(r21244, r21242, r21243, MPFR_RNDN); mpfr_set_d(r21245, x, MPFR_RNDN); mpfr_div(r21246, r21244, r21245, MPFR_RNDN); mpfr_log(r21247, r21245, MPFR_RNDN); mpfr_div(r21248, r21247, r21243, MPFR_RNDN); mpfr_add(r21249, r21246, r21248, MPFR_RNDN); mpfr_pow(r21250, r21245, r21244, MPFR_RNDN); mpfr_sub(r21251, r21242, r21250, MPFR_RNDN); mpfr_add(r21252, r21249, r21251, MPFR_RNDN); ; mpfr_set_si(r21254, mpfr_cmp(r21252, r21253) <= 0, MPFR_RNDN); mpfr_add(r21255, r21242, r21245, MPFR_RNDN); mpfr_pow(r21256, r21255, r21244, MPFR_RNDN); mpfr_exp(r21257, r21256, MPFR_RNDN); mpfr_neg(r21258, r21250, MPFR_RNDN); mpfr_exp(r21259, r21258, MPFR_RNDN); mpfr_sqrt(r21260, r21259, MPFR_RNDN); mpfr_mul(r21261, r21257, r21260, MPFR_RNDN); mpfr_mul(r21262, r21261, r21260, MPFR_RNDN); mpfr_log(r21263, r21262, MPFR_RNDN); ; mpfr_set_si(r21265, mpfr_cmp(r21252, r21264) <= 0, MPFR_RNDN); mpfr_log(r21266, r21242, MPFR_RNDN); mpfr_mul(r21267, r21243, r21243, MPFR_RNDN); mpfr_div(r21268, r21247, r21267, MPFR_RNDN); mpfr_div(r21269, r21268, r21245, MPFR_RNDN); mpfr_add(r21270, r21266, r21269, MPFR_RNDN); ; mpfr_div(r21272, r21271, r21243, MPFR_RNDN); mpfr_mul(r21273, r21245, r21245, MPFR_RNDN); mpfr_div(r21274, r21272, r21273, MPFR_RNDN); mpfr_sub(r21275, r21246, r21274, MPFR_RNDN); mpfr_add(r21276, r21270, r21275, MPFR_RNDN); ; mpfr_set_si(r21278, mpfr_cmp(r21252, r21277) <= 0, MPFR_RNDN); mpfr_add(r21279, r21245, r21242, MPFR_RNDN); mpfr_pow(r21280, r21279, r21244, MPFR_RNDN); mpfr_mul(r21281, r21280, r21280, MPFR_RNDN); mpfr_mul(r21282, r21250, r21250, MPFR_RNDN); mpfr_sub(r21283, r21281, r21282, MPFR_RNDN); mpfr_add(r21284, r21280, r21250, MPFR_RNDN); mpfr_div(r21285, r21283, r21284, MPFR_RNDN); if (mpfr_get_si(r21278, MPFR_RNDN)) { mpfr_set(r21286, r21285, MPFR_RNDN); } else { mpfr_set(r21286, r21285, MPFR_RNDN); }; if (mpfr_get_si(r21265, MPFR_RNDN)) { mpfr_set(r21287, r21276, MPFR_RNDN); } else { mpfr_set(r21287, r21286, MPFR_RNDN); }; if (mpfr_get_si(r21254, MPFR_RNDN)) { mpfr_set(r21288, r21263, MPFR_RNDN); } else { mpfr_set(r21288, r21287, MPFR_RNDN); }; return mpfr_get_d(r21288, MPFR_RNDN); }