#include #include #include #include #include char *name = "NMSE problem 3.3.2"; double f_if(float x, float eps) { float r16020 = x; float r16021 = eps; float r16022 = r16020 + r16021; float r16023 = tan(r16022); float r16024 = tan(r16020); float r16025 = r16023 - r16024; return r16025; } double f_id(double x, double eps) { double r16026 = x; double r16027 = eps; double r16028 = r16026 + r16027; double r16029 = tan(r16028); double r16030 = tan(r16026); double r16031 = r16029 - r16030; return r16031; } double f_of(float x, float eps) { float r16032 = eps; float r16033 = -5.084423344895139e-11f; bool r16034 = r16032 <= r16033; float r16035 = x; float r16036 = sin(r16035); float r16037 = cos(r16032); float r16038 = r16036 * r16037; float r16039 = cos(r16035); float r16040 = sin(r16032); float r16041 = r16039 * r16040; float r16042 = r16038 + r16041; float r16043 = r16039 * r16037; float r16044 = r16036 * r16040; float r16045 = r16043 - r16044; float r16046 = r16042 / r16045; float r16047 = tan(r16035); float r16048 = r16046 - r16047; float r16049 = 0.056213882732527594f; bool r16050 = r16032 <= r16049; float r16051 = r16032 / r16039; float r16052 = r16039 / r16036; float r16053 = r16036 / r16052; float r16054 = r16032 * r16032; float r16055 = r16054 / r16039; float r16056 = r16036 * r16055; float r16057 = fma(r16051, r16053, r16056); float r16058 = r16039 * (r16039 * r16039); float r16059 = r16054 / r16058; float r16060 = r16036 * (r16036 * r16036); float r16061 = 0.3333333333333333f; float r16062 = r16032 * (r16032 * r16032); float r16063 = r16061 * r16062; float r16064 = fma(r16059, r16060, r16063); float r16065 = r16057 + r16064; float r16066 = 4.0f; float r16067 = pow(r16039, r16066); float r16068 = r16062 / r16067; float r16069 = pow(r16036, r16066); float r16070 = 1.3333333333333333f; float r16071 = r16070 / r16039; float r16072 = r16036 * r16036; float r16073 = r16039 / r16062; float r16074 = r16072 / r16073; float r16075 = fma(r16071, r16074, r16032); float r16076 = fma(r16068, r16069, r16075); float r16077 = r16065 + r16076; float r16078 = r16050 ? r16077 : r16048; float r16079 = r16034 ? r16048 : r16078; return r16079; } double f_od(double x, double eps) { double r16080 = eps; double r16081 = -5.084423344895139e-11; bool r16082 = r16080 <= r16081; double r16083 = x; double r16084 = sin(r16083); double r16085 = cos(r16080); double r16086 = r16084 * r16085; double r16087 = cos(r16083); double r16088 = sin(r16080); double r16089 = r16087 * r16088; double r16090 = r16086 + r16089; double r16091 = r16087 * r16085; double r16092 = r16084 * r16088; double r16093 = r16091 - r16092; double r16094 = r16090 / r16093; double r16095 = tan(r16083); double r16096 = r16094 - r16095; double r16097 = 0.056213882732527594; bool r16098 = r16080 <= r16097; double r16099 = r16080 / r16087; double r16100 = r16087 / r16084; double r16101 = r16084 / r16100; double r16102 = r16080 * r16080; double r16103 = r16102 / r16087; double r16104 = r16084 * r16103; double r16105 = fma(r16099, r16101, r16104); double r16106 = r16087 * (r16087 * r16087); double r16107 = r16102 / r16106; double r16108 = r16084 * (r16084 * r16084); double r16109 = 0.3333333333333333; double r16110 = r16080 * (r16080 * r16080); double r16111 = r16109 * r16110; double r16112 = fma(r16107, r16108, r16111); double r16113 = r16105 + r16112; double r16114 = 4.0; double r16115 = pow(r16087, r16114); double r16116 = r16110 / r16115; double r16117 = pow(r16084, r16114); double r16118 = 1.3333333333333333; double r16119 = r16118 / r16087; double r16120 = r16084 * r16084; double r16121 = r16087 / r16110; double r16122 = r16120 / r16121; double r16123 = fma(r16119, r16122, r16080); double r16124 = fma(r16116, r16117, r16123); double r16125 = r16113 + r16124; double r16126 = r16098 ? r16125 : r16096; double r16127 = r16082 ? r16096 : r16126; return r16127; } 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 r16128, r16129, r16130, r16131, r16132, r16133; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16128); mpfr_init(r16129); mpfr_init(r16130); mpfr_init(r16131); mpfr_init(r16132); mpfr_init(r16133); } double f_im(double x, double eps) { mpfr_set_d(r16128, x, MPFR_RNDN); mpfr_set_d(r16129, eps, MPFR_RNDN); mpfr_add(r16130, r16128, r16129, MPFR_RNDN); mpfr_tan(r16131, r16130, MPFR_RNDN); mpfr_tan(r16132, r16128, MPFR_RNDN); mpfr_sub(r16133, r16131, r16132, MPFR_RNDN); return mpfr_get_d(r16133, MPFR_RNDN); } static mpfr_t r16134, r16135, r16136, r16137, r16138, r16139, r16140, r16141, r16142, r16143, r16144, r16145, r16146, r16147, r16148, r16149, r16150, r16151, r16152, r16153, r16154, r16155, r16156, r16157, r16158, r16159, r16160, r16161, r16162, r16163, r16164, r16165, r16166, r16167, r16168, r16169, r16170, r16171, r16172, r16173, r16174, r16175, r16176, r16177, r16178, r16179, r16180, r16181; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16134); mpfr_init_set_str(r16135, "-5.084423344895139e-11", 10, MPFR_RNDN); mpfr_init(r16136); mpfr_init(r16137); mpfr_init(r16138); mpfr_init(r16139); mpfr_init(r16140); mpfr_init(r16141); mpfr_init(r16142); mpfr_init(r16143); mpfr_init(r16144); mpfr_init(r16145); mpfr_init(r16146); mpfr_init(r16147); mpfr_init(r16148); mpfr_init(r16149); mpfr_init(r16150); mpfr_init_set_str(r16151, "0.056213882732527594", 10, MPFR_RNDN); mpfr_init(r16152); mpfr_init(r16153); mpfr_init(r16154); mpfr_init(r16155); mpfr_init(r16156); mpfr_init(r16157); mpfr_init(r16158); mpfr_init(r16159); mpfr_init(r16160); mpfr_init(r16161); mpfr_init(r16162); mpfr_init_set_str(r16163, "1/3", 10, MPFR_RNDN); mpfr_init(r16164); mpfr_init(r16165); mpfr_init(r16166); mpfr_init(r16167); mpfr_init_set_str(r16168, "4", 10, MPFR_RNDN); mpfr_init(r16169); mpfr_init(r16170); mpfr_init(r16171); mpfr_init_set_str(r16172, "4/3", 10, MPFR_RNDN); mpfr_init(r16173); mpfr_init(r16174); mpfr_init(r16175); mpfr_init(r16176); mpfr_init(r16177); mpfr_init(r16178); mpfr_init(r16179); mpfr_init(r16180); mpfr_init(r16181); } double f_fm(double x, double eps) { mpfr_set_d(r16134, eps, MPFR_RNDN); ; mpfr_set_si(r16136, mpfr_cmp(r16134, r16135) <= 0, MPFR_RNDN); mpfr_set_d(r16137, x, MPFR_RNDN); mpfr_sin(r16138, r16137, MPFR_RNDN); mpfr_cos(r16139, r16134, MPFR_RNDN); mpfr_mul(r16140, r16138, r16139, MPFR_RNDN); mpfr_cos(r16141, r16137, MPFR_RNDN); mpfr_sin(r16142, r16134, MPFR_RNDN); mpfr_mul(r16143, r16141, r16142, MPFR_RNDN); mpfr_add(r16144, r16140, r16143, MPFR_RNDN); mpfr_mul(r16145, r16141, r16139, MPFR_RNDN); mpfr_mul(r16146, r16138, r16142, MPFR_RNDN); mpfr_sub(r16147, r16145, r16146, MPFR_RNDN); mpfr_div(r16148, r16144, r16147, MPFR_RNDN); mpfr_tan(r16149, r16137, MPFR_RNDN); mpfr_sub(r16150, r16148, r16149, MPFR_RNDN); ; mpfr_set_si(r16152, mpfr_cmp(r16134, r16151) <= 0, MPFR_RNDN); mpfr_div(r16153, r16134, r16141, MPFR_RNDN); mpfr_div(r16154, r16141, r16138, MPFR_RNDN); mpfr_div(r16155, r16138, r16154, MPFR_RNDN); mpfr_sqr(r16156, r16134, MPFR_RNDN); mpfr_div(r16157, r16156, r16141, MPFR_RNDN); mpfr_mul(r16158, r16138, r16157, MPFR_RNDN); mpfr_fma(r16159, r16153, r16155, r16158, MPFR_RNDN); mpfr_mul(r16160, r16141, r16141, MPFR_RNDN); mpfr_mul(r16160, r16160, r16141, MPFR_RNDN); mpfr_div(r16161, r16156, r16160, MPFR_RNDN); mpfr_mul(r16162, r16138, r16138, MPFR_RNDN); mpfr_mul(r16162, r16162, r16138, MPFR_RNDN); ; mpfr_mul(r16164, r16134, r16134, MPFR_RNDN); mpfr_mul(r16164, r16164, r16134, MPFR_RNDN); mpfr_mul(r16165, r16163, r16164, MPFR_RNDN); mpfr_fma(r16166, r16161, r16162, r16165, MPFR_RNDN); mpfr_add(r16167, r16159, r16166, MPFR_RNDN); ; mpfr_pow(r16169, r16141, r16168, MPFR_RNDN); mpfr_div(r16170, r16164, r16169, MPFR_RNDN); mpfr_pow(r16171, r16138, r16168, MPFR_RNDN); ; mpfr_div(r16173, r16172, r16141, MPFR_RNDN); mpfr_mul(r16174, r16138, r16138, MPFR_RNDN); mpfr_div(r16175, r16141, r16164, MPFR_RNDN); mpfr_div(r16176, r16174, r16175, MPFR_RNDN); mpfr_fma(r16177, r16173, r16176, r16134, MPFR_RNDN); mpfr_fma(r16178, r16170, r16171, r16177, MPFR_RNDN); mpfr_add(r16179, r16167, r16178, MPFR_RNDN); if (mpfr_get_si(r16152, MPFR_RNDN)) { mpfr_set(r16180, r16179, MPFR_RNDN); } else { mpfr_set(r16180, r16150, MPFR_RNDN); }; if (mpfr_get_si(r16136, MPFR_RNDN)) { mpfr_set(r16181, r16150, MPFR_RNDN); } else { mpfr_set(r16181, r16180, MPFR_RNDN); }; return mpfr_get_d(r16181, MPFR_RNDN); } static mpfr_t r16182, r16183, r16184, r16185, r16186, r16187, r16188, r16189, r16190, r16191, r16192, r16193, r16194, r16195, r16196, r16197, r16198, r16199, r16200, r16201, r16202, r16203, r16204, r16205, r16206, r16207, r16208, r16209, r16210, r16211, r16212, r16213, r16214, r16215, r16216, r16217, r16218, r16219, r16220, r16221, r16222, r16223, r16224, r16225, r16226, r16227, r16228, r16229; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16182); mpfr_init_set_str(r16183, "-5.084423344895139e-11", 10, MPFR_RNDN); mpfr_init(r16184); mpfr_init(r16185); mpfr_init(r16186); mpfr_init(r16187); mpfr_init(r16188); mpfr_init(r16189); mpfr_init(r16190); mpfr_init(r16191); mpfr_init(r16192); mpfr_init(r16193); mpfr_init(r16194); mpfr_init(r16195); mpfr_init(r16196); mpfr_init(r16197); mpfr_init(r16198); mpfr_init_set_str(r16199, "0.056213882732527594", 10, MPFR_RNDN); mpfr_init(r16200); mpfr_init(r16201); mpfr_init(r16202); mpfr_init(r16203); mpfr_init(r16204); mpfr_init(r16205); mpfr_init(r16206); mpfr_init(r16207); mpfr_init(r16208); mpfr_init(r16209); mpfr_init(r16210); mpfr_init_set_str(r16211, "1/3", 10, MPFR_RNDN); mpfr_init(r16212); mpfr_init(r16213); mpfr_init(r16214); mpfr_init(r16215); mpfr_init_set_str(r16216, "4", 10, MPFR_RNDN); mpfr_init(r16217); mpfr_init(r16218); mpfr_init(r16219); mpfr_init_set_str(r16220, "4/3", 10, MPFR_RNDN); mpfr_init(r16221); mpfr_init(r16222); mpfr_init(r16223); mpfr_init(r16224); mpfr_init(r16225); mpfr_init(r16226); mpfr_init(r16227); mpfr_init(r16228); mpfr_init(r16229); } double f_dm(double x, double eps) { mpfr_set_d(r16182, eps, MPFR_RNDN); ; mpfr_set_si(r16184, mpfr_cmp(r16182, r16183) <= 0, MPFR_RNDN); mpfr_set_d(r16185, x, MPFR_RNDN); mpfr_sin(r16186, r16185, MPFR_RNDN); mpfr_cos(r16187, r16182, MPFR_RNDN); mpfr_mul(r16188, r16186, r16187, MPFR_RNDN); mpfr_cos(r16189, r16185, MPFR_RNDN); mpfr_sin(r16190, r16182, MPFR_RNDN); mpfr_mul(r16191, r16189, r16190, MPFR_RNDN); mpfr_add(r16192, r16188, r16191, MPFR_RNDN); mpfr_mul(r16193, r16189, r16187, MPFR_RNDN); mpfr_mul(r16194, r16186, r16190, MPFR_RNDN); mpfr_sub(r16195, r16193, r16194, MPFR_RNDN); mpfr_div(r16196, r16192, r16195, MPFR_RNDN); mpfr_tan(r16197, r16185, MPFR_RNDN); mpfr_sub(r16198, r16196, r16197, MPFR_RNDN); ; mpfr_set_si(r16200, mpfr_cmp(r16182, r16199) <= 0, MPFR_RNDN); mpfr_div(r16201, r16182, r16189, MPFR_RNDN); mpfr_div(r16202, r16189, r16186, MPFR_RNDN); mpfr_div(r16203, r16186, r16202, MPFR_RNDN); mpfr_sqr(r16204, r16182, MPFR_RNDN); mpfr_div(r16205, r16204, r16189, MPFR_RNDN); mpfr_mul(r16206, r16186, r16205, MPFR_RNDN); mpfr_fma(r16207, r16201, r16203, r16206, MPFR_RNDN); mpfr_mul(r16208, r16189, r16189, MPFR_RNDN); mpfr_mul(r16208, r16208, r16189, MPFR_RNDN); mpfr_div(r16209, r16204, r16208, MPFR_RNDN); mpfr_mul(r16210, r16186, r16186, MPFR_RNDN); mpfr_mul(r16210, r16210, r16186, MPFR_RNDN); ; mpfr_mul(r16212, r16182, r16182, MPFR_RNDN); mpfr_mul(r16212, r16212, r16182, MPFR_RNDN); mpfr_mul(r16213, r16211, r16212, MPFR_RNDN); mpfr_fma(r16214, r16209, r16210, r16213, MPFR_RNDN); mpfr_add(r16215, r16207, r16214, MPFR_RNDN); ; mpfr_pow(r16217, r16189, r16216, MPFR_RNDN); mpfr_div(r16218, r16212, r16217, MPFR_RNDN); mpfr_pow(r16219, r16186, r16216, MPFR_RNDN); ; mpfr_div(r16221, r16220, r16189, MPFR_RNDN); mpfr_mul(r16222, r16186, r16186, MPFR_RNDN); mpfr_div(r16223, r16189, r16212, MPFR_RNDN); mpfr_div(r16224, r16222, r16223, MPFR_RNDN); mpfr_fma(r16225, r16221, r16224, r16182, MPFR_RNDN); mpfr_fma(r16226, r16218, r16219, r16225, MPFR_RNDN); mpfr_add(r16227, r16215, r16226, MPFR_RNDN); if (mpfr_get_si(r16200, MPFR_RNDN)) { mpfr_set(r16228, r16227, MPFR_RNDN); } else { mpfr_set(r16228, r16198, MPFR_RNDN); }; if (mpfr_get_si(r16184, MPFR_RNDN)) { mpfr_set(r16229, r16198, MPFR_RNDN); } else { mpfr_set(r16229, r16228, MPFR_RNDN); }; return mpfr_get_d(r16229, MPFR_RNDN); }