#include #include #include #include #include char *name = "NMSE problem 3.3.2"; double f_if(float x, float eps) { float r16076 = x; float r16077 = eps; float r16078 = r16076 + r16077; float r16079 = tan(r16078); float r16080 = tan(r16076); float r16081 = r16079 - r16080; return r16081; } double f_id(double x, double eps) { double r16082 = x; double r16083 = eps; double r16084 = r16082 + r16083; double r16085 = tan(r16084); double r16086 = tan(r16082); double r16087 = r16085 - r16086; return r16087; } double f_of(float x, float eps) { float r16088 = x; float r16089 = eps; float r16090 = r16088 + r16089; float r16091 = tan(r16090); float r16092 = tan(r16088); float r16093 = r16091 - r16092; float r16094 = -0.0013098667841404676f; bool r16095 = r16093 <= r16094; float r16096 = cos(r16088); float r16097 = r16089 + r16088; float r16098 = 1.0 / tan(r16097); float r16099 = sin(r16088); float r16100 = r16098 * r16099; float r16101 = r16096 - r16100; float r16102 = 1.0 / tan(r16090); float r16103 = r16102 * r16096; float r16104 = r16101 / r16103; float r16105 = 0.012468386441469193f; bool r16106 = r16093 <= r16105; float r16107 = r16089 / r16096; float r16108 = r16096 / r16099; float r16109 = r16099 / r16108; float r16110 = r16089 * r16089; float r16111 = r16110 / r16096; float r16112 = r16099 * r16111; float r16113 = fma(r16107, r16109, r16112); float r16114 = r16096 * (r16096 * r16096); float r16115 = r16110 / r16114; float r16116 = r16099 * (r16099 * r16099); float r16117 = 0.3333333432674408f; float r16118 = r16089 * (r16089 * r16089); float r16119 = r16117 * r16118; float r16120 = fma(r16115, r16116, r16119); float r16121 = r16113 + r16120; float r16122 = 4.0f; float r16123 = pow(r16096, r16122); float r16124 = r16118 / r16123; float r16125 = pow(r16099, r16122); float r16126 = 1.3333333730697632f; float r16127 = r16126 / r16096; float r16128 = r16099 * r16099; float r16129 = r16096 / r16118; float r16130 = r16128 / r16129; float r16131 = fma(r16127, r16130, r16089); float r16132 = fma(r16124, r16125, r16131); float r16133 = r16121 + r16132; float r16134 = r16106 ? r16133 : r16104; float r16135 = r16095 ? r16104 : r16134; return r16135; } double f_od(double x, double eps) { double r16136 = x; double r16137 = eps; double r16138 = r16136 + r16137; double r16139 = tan(r16138); double r16140 = tan(r16136); double r16141 = r16139 - r16140; double r16142 = -0.0013098667841404676; bool r16143 = r16141 <= r16142; double r16144 = cos(r16136); double r16145 = r16137 + r16136; double r16146 = 1.0 / tan(r16145); double r16147 = sin(r16136); double r16148 = r16146 * r16147; double r16149 = r16144 - r16148; double r16150 = 1.0 / tan(r16138); double r16151 = r16150 * r16144; double r16152 = r16149 / r16151; double r16153 = 0.012468386441469193; bool r16154 = r16141 <= r16153; double r16155 = r16137 / r16144; double r16156 = r16144 / r16147; double r16157 = r16147 / r16156; double r16158 = r16137 * r16137; double r16159 = r16158 / r16144; double r16160 = r16147 * r16159; double r16161 = fma(r16155, r16157, r16160); double r16162 = r16144 * (r16144 * r16144); double r16163 = r16158 / r16162; double r16164 = r16147 * (r16147 * r16147); double r16165 = 0.3333333432674408; double r16166 = r16137 * (r16137 * r16137); double r16167 = r16165 * r16166; double r16168 = fma(r16163, r16164, r16167); double r16169 = r16161 + r16168; double r16170 = 4.0; double r16171 = pow(r16144, r16170); double r16172 = r16166 / r16171; double r16173 = pow(r16147, r16170); double r16174 = 1.3333333730697632; double r16175 = r16174 / r16144; double r16176 = r16147 * r16147; double r16177 = r16144 / r16166; double r16178 = r16176 / r16177; double r16179 = fma(r16175, r16178, r16137); double r16180 = fma(r16172, r16173, r16179); double r16181 = r16169 + r16180; double r16182 = r16154 ? r16181 : r16152; double r16183 = r16143 ? r16152 : r16182; return r16183; } 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 r16184, r16185, r16186, r16187, r16188, r16189; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16184); mpfr_init(r16185); mpfr_init(r16186); mpfr_init(r16187); mpfr_init(r16188); mpfr_init(r16189); } double f_im(double x, double eps) { mpfr_set_d(r16184, x, MPFR_RNDN); mpfr_set_d(r16185, eps, MPFR_RNDN); mpfr_add(r16186, r16184, r16185, MPFR_RNDN); mpfr_tan(r16187, r16186, MPFR_RNDN); mpfr_tan(r16188, r16184, MPFR_RNDN); mpfr_sub(r16189, r16187, r16188, MPFR_RNDN); return mpfr_get_d(r16189, MPFR_RNDN); } static mpfr_t 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, r16230, r16231, r16232, r16233, r16234, r16235, r16236, r16237; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16190); mpfr_init(r16191); mpfr_init(r16192); mpfr_init(r16193); mpfr_init(r16194); mpfr_init(r16195); mpfr_init_set_str(r16196, "-0.0013098668f0", 10, MPFR_RNDN); mpfr_init(r16197); mpfr_init(r16198); mpfr_init(r16199); mpfr_init(r16200); mpfr_init(r16201); mpfr_init(r16202); mpfr_init(r16203); mpfr_init(r16204); mpfr_init(r16205); mpfr_init(r16206); mpfr_init_set_str(r16207, "0.012468386f0", 10, MPFR_RNDN); mpfr_init(r16208); mpfr_init(r16209); mpfr_init(r16210); mpfr_init(r16211); mpfr_init(r16212); mpfr_init(r16213); mpfr_init(r16214); mpfr_init(r16215); mpfr_init(r16216); mpfr_init(r16217); mpfr_init(r16218); mpfr_init_set_str(r16219, "1/3", 10, MPFR_RNDN); mpfr_init(r16220); mpfr_init(r16221); mpfr_init(r16222); mpfr_init(r16223); mpfr_init_set_str(r16224, "4", 10, MPFR_RNDN); mpfr_init(r16225); mpfr_init(r16226); mpfr_init(r16227); mpfr_init_set_str(r16228, "4/3", 10, MPFR_RNDN); mpfr_init(r16229); mpfr_init(r16230); mpfr_init(r16231); mpfr_init(r16232); mpfr_init(r16233); mpfr_init(r16234); mpfr_init(r16235); mpfr_init(r16236); mpfr_init(r16237); } double f_fm(double x, double eps) { mpfr_set_d(r16190, x, MPFR_RNDN); mpfr_set_d(r16191, eps, MPFR_RNDN); mpfr_add(r16192, r16190, r16191, MPFR_RNDN); mpfr_tan(r16193, r16192, MPFR_RNDN); mpfr_tan(r16194, r16190, MPFR_RNDN); mpfr_sub(r16195, r16193, r16194, MPFR_RNDN); ; mpfr_set_si(r16197, mpfr_cmp(r16195, r16196) <= 0, MPFR_RNDN); mpfr_cos(r16198, r16190, MPFR_RNDN); mpfr_add(r16199, r16191, r16190, MPFR_RNDN); mpfr_cot(r16200, r16199, MPFR_RNDN); mpfr_sin(r16201, r16190, MPFR_RNDN); mpfr_mul(r16202, r16200, r16201, MPFR_RNDN); mpfr_sub(r16203, r16198, r16202, MPFR_RNDN); mpfr_cot(r16204, r16192, MPFR_RNDN); mpfr_mul(r16205, r16204, r16198, MPFR_RNDN); mpfr_div(r16206, r16203, r16205, MPFR_RNDN); ; mpfr_set_si(r16208, mpfr_cmp(r16195, r16207) <= 0, MPFR_RNDN); mpfr_div(r16209, r16191, r16198, MPFR_RNDN); mpfr_div(r16210, r16198, r16201, MPFR_RNDN); mpfr_div(r16211, r16201, r16210, MPFR_RNDN); mpfr_sqr(r16212, r16191, MPFR_RNDN); mpfr_div(r16213, r16212, r16198, MPFR_RNDN); mpfr_mul(r16214, r16201, r16213, MPFR_RNDN); mpfr_fma(r16215, r16209, r16211, r16214, MPFR_RNDN); mpfr_mul(r16216, r16198, r16198, MPFR_RNDN); mpfr_mul(r16216, r16216, r16198, MPFR_RNDN); mpfr_div(r16217, r16212, r16216, MPFR_RNDN); mpfr_mul(r16218, r16201, r16201, MPFR_RNDN); mpfr_mul(r16218, r16218, r16201, MPFR_RNDN); ; mpfr_mul(r16220, r16191, r16191, MPFR_RNDN); mpfr_mul(r16220, r16220, r16191, MPFR_RNDN); mpfr_mul(r16221, r16219, r16220, MPFR_RNDN); mpfr_fma(r16222, r16217, r16218, r16221, MPFR_RNDN); mpfr_add(r16223, r16215, r16222, MPFR_RNDN); ; mpfr_pow(r16225, r16198, r16224, MPFR_RNDN); mpfr_div(r16226, r16220, r16225, MPFR_RNDN); mpfr_pow(r16227, r16201, r16224, MPFR_RNDN); ; mpfr_div(r16229, r16228, r16198, MPFR_RNDN); mpfr_mul(r16230, r16201, r16201, MPFR_RNDN); mpfr_div(r16231, r16198, r16220, MPFR_RNDN); mpfr_div(r16232, r16230, r16231, MPFR_RNDN); mpfr_fma(r16233, r16229, r16232, r16191, MPFR_RNDN); mpfr_fma(r16234, r16226, r16227, r16233, MPFR_RNDN); mpfr_add(r16235, r16223, r16234, MPFR_RNDN); if (mpfr_get_si(r16208, MPFR_RNDN)) { mpfr_set(r16236, r16235, MPFR_RNDN); } else { mpfr_set(r16236, r16206, MPFR_RNDN); }; if (mpfr_get_si(r16197, MPFR_RNDN)) { mpfr_set(r16237, r16206, MPFR_RNDN); } else { mpfr_set(r16237, r16236, MPFR_RNDN); }; return mpfr_get_d(r16237, MPFR_RNDN); } static mpfr_t r16238, r16239, r16240, r16241, r16242, r16243, r16244, r16245, r16246, r16247, r16248, r16249, r16250, r16251, r16252, r16253, r16254, r16255, r16256, r16257, r16258, r16259, r16260, r16261, r16262, r16263, r16264, r16265, r16266, r16267, r16268, r16269, r16270, r16271, r16272, r16273, r16274, r16275, r16276, r16277, r16278, r16279, r16280, r16281, r16282, r16283, r16284, r16285; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16238); mpfr_init(r16239); mpfr_init(r16240); mpfr_init(r16241); mpfr_init(r16242); mpfr_init(r16243); mpfr_init_set_str(r16244, "-0.0013098668f0", 10, MPFR_RNDN); mpfr_init(r16245); mpfr_init(r16246); mpfr_init(r16247); mpfr_init(r16248); mpfr_init(r16249); mpfr_init(r16250); mpfr_init(r16251); mpfr_init(r16252); mpfr_init(r16253); mpfr_init(r16254); mpfr_init_set_str(r16255, "0.012468386f0", 10, MPFR_RNDN); mpfr_init(r16256); mpfr_init(r16257); mpfr_init(r16258); mpfr_init(r16259); mpfr_init(r16260); mpfr_init(r16261); mpfr_init(r16262); mpfr_init(r16263); mpfr_init(r16264); mpfr_init(r16265); mpfr_init(r16266); mpfr_init_set_str(r16267, "1/3", 10, MPFR_RNDN); mpfr_init(r16268); mpfr_init(r16269); mpfr_init(r16270); mpfr_init(r16271); mpfr_init_set_str(r16272, "4", 10, MPFR_RNDN); mpfr_init(r16273); mpfr_init(r16274); mpfr_init(r16275); mpfr_init_set_str(r16276, "4/3", 10, MPFR_RNDN); mpfr_init(r16277); mpfr_init(r16278); mpfr_init(r16279); mpfr_init(r16280); mpfr_init(r16281); mpfr_init(r16282); mpfr_init(r16283); mpfr_init(r16284); mpfr_init(r16285); } double f_dm(double x, double eps) { mpfr_set_d(r16238, x, MPFR_RNDN); mpfr_set_d(r16239, eps, MPFR_RNDN); mpfr_add(r16240, r16238, r16239, MPFR_RNDN); mpfr_tan(r16241, r16240, MPFR_RNDN); mpfr_tan(r16242, r16238, MPFR_RNDN); mpfr_sub(r16243, r16241, r16242, MPFR_RNDN); ; mpfr_set_si(r16245, mpfr_cmp(r16243, r16244) <= 0, MPFR_RNDN); mpfr_cos(r16246, r16238, MPFR_RNDN); mpfr_add(r16247, r16239, r16238, MPFR_RNDN); mpfr_cot(r16248, r16247, MPFR_RNDN); mpfr_sin(r16249, r16238, MPFR_RNDN); mpfr_mul(r16250, r16248, r16249, MPFR_RNDN); mpfr_sub(r16251, r16246, r16250, MPFR_RNDN); mpfr_cot(r16252, r16240, MPFR_RNDN); mpfr_mul(r16253, r16252, r16246, MPFR_RNDN); mpfr_div(r16254, r16251, r16253, MPFR_RNDN); ; mpfr_set_si(r16256, mpfr_cmp(r16243, r16255) <= 0, MPFR_RNDN); mpfr_div(r16257, r16239, r16246, MPFR_RNDN); mpfr_div(r16258, r16246, r16249, MPFR_RNDN); mpfr_div(r16259, r16249, r16258, MPFR_RNDN); mpfr_sqr(r16260, r16239, MPFR_RNDN); mpfr_div(r16261, r16260, r16246, MPFR_RNDN); mpfr_mul(r16262, r16249, r16261, MPFR_RNDN); mpfr_fma(r16263, r16257, r16259, r16262, MPFR_RNDN); mpfr_mul(r16264, r16246, r16246, MPFR_RNDN); mpfr_mul(r16264, r16264, r16246, MPFR_RNDN); mpfr_div(r16265, r16260, r16264, MPFR_RNDN); mpfr_mul(r16266, r16249, r16249, MPFR_RNDN); mpfr_mul(r16266, r16266, r16249, MPFR_RNDN); ; mpfr_mul(r16268, r16239, r16239, MPFR_RNDN); mpfr_mul(r16268, r16268, r16239, MPFR_RNDN); mpfr_mul(r16269, r16267, r16268, MPFR_RNDN); mpfr_fma(r16270, r16265, r16266, r16269, MPFR_RNDN); mpfr_add(r16271, r16263, r16270, MPFR_RNDN); ; mpfr_pow(r16273, r16246, r16272, MPFR_RNDN); mpfr_div(r16274, r16268, r16273, MPFR_RNDN); mpfr_pow(r16275, r16249, r16272, MPFR_RNDN); ; mpfr_div(r16277, r16276, r16246, MPFR_RNDN); mpfr_mul(r16278, r16249, r16249, MPFR_RNDN); mpfr_div(r16279, r16246, r16268, MPFR_RNDN); mpfr_div(r16280, r16278, r16279, MPFR_RNDN); mpfr_fma(r16281, r16277, r16280, r16239, MPFR_RNDN); mpfr_fma(r16282, r16274, r16275, r16281, MPFR_RNDN); mpfr_add(r16283, r16271, r16282, MPFR_RNDN); if (mpfr_get_si(r16256, MPFR_RNDN)) { mpfr_set(r16284, r16283, MPFR_RNDN); } else { mpfr_set(r16284, r16254, MPFR_RNDN); }; if (mpfr_get_si(r16245, MPFR_RNDN)) { mpfr_set(r16285, r16254, MPFR_RNDN); } else { mpfr_set(r16285, r16284, MPFR_RNDN); }; return mpfr_get_d(r16285, MPFR_RNDN); }