#include #include #include #include #include char *name = "2tan (problem 3.3.2)"; double f_if(float x, float eps) { float r25026 = x; float r25027 = eps; float r25028 = r25026 + r25027; float r25029 = tan(r25028); float r25030 = tan(r25026); float r25031 = r25029 - r25030; return r25031; } double f_id(double x, double eps) { double r25032 = x; double r25033 = eps; double r25034 = r25032 + r25033; double r25035 = tan(r25034); double r25036 = tan(r25032); double r25037 = r25035 - r25036; return r25037; } double f_of(float x, float eps) { float r25038 = eps; float r25039 = 3; float r25040 = pow(r25038, r25039); float r25041 = x; float r25042 = 2; float r25043 = pow(r25041, r25042); float r25044 = r25040 * r25043; float r25045 = pow(r25038, r25042); float r25046 = r25045 * r25041; float r25047 = r25044 + r25046; float r25048 = r25038 + r25047; float r25049 = -3.2004002706717603e-34; bool r25050 = r25048 <= r25049; float r25051 = 1; float r25052 = tan(r25041); float r25053 = tan(r25038); float r25054 = r25052 * r25053; float r25055 = r25054 * r25054; float r25056 = r25055 + r25054; float r25057 = r25056 * r25056; float r25058 = r25051 - r25057; float r25059 = r25053 + r25052; float r25060 = cos(r25041); float r25061 = r25059 * r25060; float r25062 = pow(r25054, r25039); float r25063 = r25051 - r25062; float r25064 = r25061 / r25063; float r25065 = r25058 * r25064; float r25066 = sin(r25041); float r25067 = r25051 - r25054; float r25068 = r25067 - r25055; float r25069 = r25066 * r25068; float r25070 = r25065 - r25069; float r25071 = r25053 * r25052; float r25072 = r25051 - r25071; float r25073 = r25071 * r25071; float r25074 = r25072 - r25073; float r25075 = r25060 * r25074; float r25076 = r25070 / r25075; float r25077 = 4.0849474809527563e-22; bool r25078 = r25048 <= r25077; float r25079 = r25052 + r25053; float r25080 = pow(r25071, r25039); float r25081 = cbrt(r25080); float r25082 = r25051 - r25081; float r25083 = r25079 / r25082; float r25084 = r25083 - r25052; float r25085 = r25078 ? r25048 : r25084; float r25086 = r25050 ? r25076 : r25085; return r25086; } double f_od(double x, double eps) { double r25087 = eps; double r25088 = 3; double r25089 = pow(r25087, r25088); double r25090 = x; double r25091 = 2; double r25092 = pow(r25090, r25091); double r25093 = r25089 * r25092; double r25094 = pow(r25087, r25091); double r25095 = r25094 * r25090; double r25096 = r25093 + r25095; double r25097 = r25087 + r25096; double r25098 = -3.2004002706717603e-34; bool r25099 = r25097 <= r25098; double r25100 = 1; double r25101 = tan(r25090); double r25102 = tan(r25087); double r25103 = r25101 * r25102; double r25104 = r25103 * r25103; double r25105 = r25104 + r25103; double r25106 = r25105 * r25105; double r25107 = r25100 - r25106; double r25108 = r25102 + r25101; double r25109 = cos(r25090); double r25110 = r25108 * r25109; double r25111 = pow(r25103, r25088); double r25112 = r25100 - r25111; double r25113 = r25110 / r25112; double r25114 = r25107 * r25113; double r25115 = sin(r25090); double r25116 = r25100 - r25103; double r25117 = r25116 - r25104; double r25118 = r25115 * r25117; double r25119 = r25114 - r25118; double r25120 = r25102 * r25101; double r25121 = r25100 - r25120; double r25122 = r25120 * r25120; double r25123 = r25121 - r25122; double r25124 = r25109 * r25123; double r25125 = r25119 / r25124; double r25126 = 4.0849474809527563e-22; bool r25127 = r25097 <= r25126; double r25128 = r25101 + r25102; double r25129 = pow(r25120, r25088); double r25130 = cbrt(r25129); double r25131 = r25100 - r25130; double r25132 = r25128 / r25131; double r25133 = r25132 - r25101; double r25134 = r25127 ? r25097 : r25133; double r25135 = r25099 ? r25125 : r25134; return r25135; } 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 r25136, r25137, r25138, r25139, r25140, r25141; void setup_mpfr_f_im() { mpfr_set_default_prec(2384); mpfr_init(r25136); mpfr_init(r25137); mpfr_init(r25138); mpfr_init(r25139); mpfr_init(r25140); mpfr_init(r25141); } double f_im(double x, double eps) { mpfr_set_d(r25136, x, MPFR_RNDN); mpfr_set_d(r25137, eps, MPFR_RNDN); mpfr_add(r25138, r25136, r25137, MPFR_RNDN); mpfr_tan(r25139, r25138, MPFR_RNDN); mpfr_tan(r25140, r25136, MPFR_RNDN); mpfr_sub(r25141, r25139, r25140, MPFR_RNDN); return mpfr_get_d(r25141, MPFR_RNDN); } static mpfr_t r25142, r25143, r25144, r25145, r25146, r25147, r25148, r25149, r25150, r25151, r25152, r25153, r25154, r25155, r25156, r25157, r25158, r25159, r25160, r25161, r25162, r25163, r25164, r25165, r25166, r25167, r25168, r25169, r25170, r25171, r25172, r25173, r25174, r25175, r25176, r25177, r25178, r25179, r25180, r25181, r25182, r25183, r25184, r25185, r25186, r25187, r25188, r25189, r25190; void setup_mpfr_f_fm() { mpfr_set_default_prec(2384); mpfr_init(r25142); mpfr_init_set_str(r25143, "3", 10, MPFR_RNDN); mpfr_init(r25144); mpfr_init(r25145); mpfr_init_set_str(r25146, "2", 10, MPFR_RNDN); mpfr_init(r25147); mpfr_init(r25148); mpfr_init(r25149); mpfr_init(r25150); mpfr_init(r25151); mpfr_init(r25152); mpfr_init_set_str(r25153, "-3.2004002706717603e-34", 10, MPFR_RNDN); mpfr_init(r25154); mpfr_init_set_str(r25155, "1", 10, MPFR_RNDN); mpfr_init(r25156); mpfr_init(r25157); mpfr_init(r25158); mpfr_init(r25159); mpfr_init(r25160); mpfr_init(r25161); mpfr_init(r25162); mpfr_init(r25163); mpfr_init(r25164); 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, "4.0849474809527563e-22", 10, MPFR_RNDN); mpfr_init(r25182); mpfr_init(r25183); mpfr_init(r25184); mpfr_init(r25185); mpfr_init(r25186); mpfr_init(r25187); mpfr_init(r25188); mpfr_init(r25189); mpfr_init(r25190); } double f_fm(double x, double eps) { mpfr_set_d(r25142, eps, MPFR_RNDN); ; mpfr_pow(r25144, r25142, r25143, MPFR_RNDN); mpfr_set_d(r25145, x, MPFR_RNDN); ; mpfr_pow(r25147, r25145, r25146, MPFR_RNDN); mpfr_mul(r25148, r25144, r25147, MPFR_RNDN); mpfr_pow(r25149, r25142, r25146, MPFR_RNDN); mpfr_mul(r25150, r25149, r25145, MPFR_RNDN); mpfr_add(r25151, r25148, r25150, MPFR_RNDN); mpfr_add(r25152, r25142, r25151, MPFR_RNDN); ; mpfr_set_si(r25154, mpfr_cmp(r25152, r25153) <= 0, MPFR_RNDN); ; mpfr_tan(r25156, r25145, MPFR_RNDN); mpfr_tan(r25157, r25142, MPFR_RNDN); mpfr_mul(r25158, r25156, r25157, MPFR_RNDN); mpfr_mul(r25159, r25158, r25158, MPFR_RNDN); mpfr_add(r25160, r25159, r25158, MPFR_RNDN); mpfr_mul(r25161, r25160, r25160, MPFR_RNDN); mpfr_sub(r25162, r25155, r25161, MPFR_RNDN); mpfr_add(r25163, r25157, r25156, MPFR_RNDN); mpfr_cos(r25164, r25145, MPFR_RNDN); mpfr_mul(r25165, r25163, r25164, MPFR_RNDN); mpfr_pow(r25166, r25158, r25143, MPFR_RNDN); mpfr_sub(r25167, r25155, r25166, MPFR_RNDN); mpfr_div(r25168, r25165, r25167, MPFR_RNDN); mpfr_mul(r25169, r25162, r25168, MPFR_RNDN); mpfr_sin(r25170, r25145, MPFR_RNDN); mpfr_sub(r25171, r25155, r25158, MPFR_RNDN); mpfr_sub(r25172, r25171, r25159, MPFR_RNDN); mpfr_mul(r25173, r25170, r25172, MPFR_RNDN); mpfr_sub(r25174, r25169, r25173, MPFR_RNDN); mpfr_mul(r25175, r25157, r25156, MPFR_RNDN); mpfr_sub(r25176, r25155, r25175, MPFR_RNDN); mpfr_mul(r25177, r25175, r25175, MPFR_RNDN); mpfr_sub(r25178, r25176, r25177, MPFR_RNDN); mpfr_mul(r25179, r25164, r25178, MPFR_RNDN); mpfr_div(r25180, r25174, r25179, MPFR_RNDN); ; mpfr_set_si(r25182, mpfr_cmp(r25152, r25181) <= 0, MPFR_RNDN); mpfr_add(r25183, r25156, r25157, MPFR_RNDN); mpfr_pow(r25184, r25175, r25143, MPFR_RNDN); mpfr_cbrt(r25185, r25184, MPFR_RNDN); mpfr_sub(r25186, r25155, r25185, MPFR_RNDN); mpfr_div(r25187, r25183, r25186, MPFR_RNDN); mpfr_sub(r25188, r25187, r25156, MPFR_RNDN); if (mpfr_get_si(r25182, MPFR_RNDN)) { mpfr_set(r25189, r25152, MPFR_RNDN); } else { mpfr_set(r25189, r25188, MPFR_RNDN); }; if (mpfr_get_si(r25154, MPFR_RNDN)) { mpfr_set(r25190, r25180, MPFR_RNDN); } else { mpfr_set(r25190, r25189, MPFR_RNDN); }; return mpfr_get_d(r25190, MPFR_RNDN); } static mpfr_t 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, r25231, r25232, r25233, r25234, r25235, r25236, r25237, r25238, r25239; void setup_mpfr_f_dm() { mpfr_set_default_prec(2384); mpfr_init(r25191); mpfr_init_set_str(r25192, "3", 10, MPFR_RNDN); mpfr_init(r25193); mpfr_init(r25194); mpfr_init_set_str(r25195, "2", 10, MPFR_RNDN); mpfr_init(r25196); mpfr_init(r25197); mpfr_init(r25198); mpfr_init(r25199); mpfr_init(r25200); mpfr_init(r25201); mpfr_init_set_str(r25202, "-3.2004002706717603e-34", 10, MPFR_RNDN); mpfr_init(r25203); mpfr_init_set_str(r25204, "1", 10, MPFR_RNDN); mpfr_init(r25205); mpfr_init(r25206); mpfr_init(r25207); 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_set_str(r25230, "4.0849474809527563e-22", 10, MPFR_RNDN); mpfr_init(r25231); mpfr_init(r25232); mpfr_init(r25233); mpfr_init(r25234); mpfr_init(r25235); mpfr_init(r25236); mpfr_init(r25237); mpfr_init(r25238); mpfr_init(r25239); } double f_dm(double x, double eps) { mpfr_set_d(r25191, eps, MPFR_RNDN); ; mpfr_pow(r25193, r25191, r25192, MPFR_RNDN); mpfr_set_d(r25194, x, MPFR_RNDN); ; mpfr_pow(r25196, r25194, r25195, MPFR_RNDN); mpfr_mul(r25197, r25193, r25196, MPFR_RNDN); mpfr_pow(r25198, r25191, r25195, MPFR_RNDN); mpfr_mul(r25199, r25198, r25194, MPFR_RNDN); mpfr_add(r25200, r25197, r25199, MPFR_RNDN); mpfr_add(r25201, r25191, r25200, MPFR_RNDN); ; mpfr_set_si(r25203, mpfr_cmp(r25201, r25202) <= 0, MPFR_RNDN); ; mpfr_tan(r25205, r25194, MPFR_RNDN); mpfr_tan(r25206, r25191, MPFR_RNDN); mpfr_mul(r25207, r25205, r25206, MPFR_RNDN); mpfr_mul(r25208, r25207, r25207, MPFR_RNDN); mpfr_add(r25209, r25208, r25207, MPFR_RNDN); mpfr_mul(r25210, r25209, r25209, MPFR_RNDN); mpfr_sub(r25211, r25204, r25210, MPFR_RNDN); mpfr_add(r25212, r25206, r25205, MPFR_RNDN); mpfr_cos(r25213, r25194, MPFR_RNDN); mpfr_mul(r25214, r25212, r25213, MPFR_RNDN); mpfr_pow(r25215, r25207, r25192, MPFR_RNDN); mpfr_sub(r25216, r25204, r25215, MPFR_RNDN); mpfr_div(r25217, r25214, r25216, MPFR_RNDN); mpfr_mul(r25218, r25211, r25217, MPFR_RNDN); mpfr_sin(r25219, r25194, MPFR_RNDN); mpfr_sub(r25220, r25204, r25207, MPFR_RNDN); mpfr_sub(r25221, r25220, r25208, MPFR_RNDN); mpfr_mul(r25222, r25219, r25221, MPFR_RNDN); mpfr_sub(r25223, r25218, r25222, MPFR_RNDN); mpfr_mul(r25224, r25206, r25205, MPFR_RNDN); mpfr_sub(r25225, r25204, r25224, MPFR_RNDN); mpfr_mul(r25226, r25224, r25224, MPFR_RNDN); mpfr_sub(r25227, r25225, r25226, MPFR_RNDN); mpfr_mul(r25228, r25213, r25227, MPFR_RNDN); mpfr_div(r25229, r25223, r25228, MPFR_RNDN); ; mpfr_set_si(r25231, mpfr_cmp(r25201, r25230) <= 0, MPFR_RNDN); mpfr_add(r25232, r25205, r25206, MPFR_RNDN); mpfr_pow(r25233, r25224, r25192, MPFR_RNDN); mpfr_cbrt(r25234, r25233, MPFR_RNDN); mpfr_sub(r25235, r25204, r25234, MPFR_RNDN); mpfr_div(r25236, r25232, r25235, MPFR_RNDN); mpfr_sub(r25237, r25236, r25205, MPFR_RNDN); if (mpfr_get_si(r25231, MPFR_RNDN)) { mpfr_set(r25238, r25201, MPFR_RNDN); } else { mpfr_set(r25238, r25237, MPFR_RNDN); }; if (mpfr_get_si(r25203, MPFR_RNDN)) { mpfr_set(r25239, r25229, MPFR_RNDN); } else { mpfr_set(r25239, r25238, MPFR_RNDN); }; return mpfr_get_d(r25239, MPFR_RNDN); }