#include #include #include #include #include char *name = "NMSE problem 3.3.2"; double f_if(float x, float eps) { float r16064 = x; float r16065 = eps; float r16066 = r16064 + r16065; float r16067 = tan(r16066); float r16068 = tan(r16064); float r16069 = r16067 - r16068; return r16069; } double f_id(double x, double eps) { double r16070 = x; double r16071 = eps; double r16072 = r16070 + r16071; double r16073 = tan(r16072); double r16074 = tan(r16070); double r16075 = r16073 - r16074; return r16075; } double f_of(float x, float eps) { float r16076 = eps; float r16077 = -8.102966659834604e-08f; bool r16078 = r16076 <= r16077; float r16079 = x; float r16080 = sin(r16079); float r16081 = cos(r16076); float r16082 = r16080 * r16081; float r16083 = cos(r16079); float r16084 = sin(r16076); float r16085 = r16083 * r16084; float r16086 = r16082 + r16085; float r16087 = r16083 * r16081; float r16088 = r16080 * r16084; float r16089 = r16087 - r16088; float r16090 = r16086 / r16089; float r16091 = tan(r16079); float r16092 = r16090 - r16091; float r16093 = 8.510050417588485e-09f; bool r16094 = r16076 <= r16093; float r16095 = r16076 / r16083; float r16096 = r16083 / r16080; float r16097 = r16080 / r16096; float r16098 = r16076 * r16076; float r16099 = r16098 / r16083; float r16100 = r16080 * r16099; float r16101 = fma(r16095, r16097, r16100); float r16102 = r16083 * (r16083 * r16083); float r16103 = r16098 / r16102; float r16104 = r16080 * (r16080 * r16080); float r16105 = 0.3333333333333333f; float r16106 = r16076 * (r16076 * r16076); float r16107 = r16105 * r16106; float r16108 = fma(r16103, r16104, r16107); float r16109 = r16101 + r16108; float r16110 = 4.0f; float r16111 = pow(r16083, r16110); float r16112 = r16106 / r16111; float r16113 = pow(r16080, r16110); float r16114 = 1.3333333333333333f; float r16115 = r16114 / r16083; float r16116 = r16080 * r16080; float r16117 = r16083 / r16106; float r16118 = r16116 / r16117; float r16119 = fma(r16115, r16118, r16076); float r16120 = fma(r16112, r16113, r16119); float r16121 = r16109 + r16120; float r16122 = r16094 ? r16121 : r16092; float r16123 = r16078 ? r16092 : r16122; return r16123; } double f_od(double x, double eps) { double r16124 = eps; double r16125 = -8.102966659834604e-08; bool r16126 = r16124 <= r16125; double r16127 = x; double r16128 = sin(r16127); double r16129 = cos(r16124); double r16130 = r16128 * r16129; double r16131 = cos(r16127); double r16132 = sin(r16124); double r16133 = r16131 * r16132; double r16134 = r16130 + r16133; double r16135 = r16131 * r16129; double r16136 = r16128 * r16132; double r16137 = r16135 - r16136; double r16138 = r16134 / r16137; double r16139 = tan(r16127); double r16140 = r16138 - r16139; double r16141 = 8.510050417588485e-09; bool r16142 = r16124 <= r16141; double r16143 = r16124 / r16131; double r16144 = r16131 / r16128; double r16145 = r16128 / r16144; double r16146 = r16124 * r16124; double r16147 = r16146 / r16131; double r16148 = r16128 * r16147; double r16149 = fma(r16143, r16145, r16148); double r16150 = r16131 * (r16131 * r16131); double r16151 = r16146 / r16150; double r16152 = r16128 * (r16128 * r16128); double r16153 = 0.3333333333333333; double r16154 = r16124 * (r16124 * r16124); double r16155 = r16153 * r16154; double r16156 = fma(r16151, r16152, r16155); double r16157 = r16149 + r16156; double r16158 = 4.0; double r16159 = pow(r16131, r16158); double r16160 = r16154 / r16159; double r16161 = pow(r16128, r16158); double r16162 = 1.3333333333333333; double r16163 = r16162 / r16131; double r16164 = r16128 * r16128; double r16165 = r16131 / r16154; double r16166 = r16164 / r16165; double r16167 = fma(r16163, r16166, r16124); double r16168 = fma(r16160, r16161, r16167); double r16169 = r16157 + r16168; double r16170 = r16142 ? r16169 : r16140; double r16171 = r16126 ? r16140 : r16170; return r16171; } 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 r16172, r16173, r16174, r16175, r16176, r16177; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16172); mpfr_init(r16173); mpfr_init(r16174); mpfr_init(r16175); mpfr_init(r16176); mpfr_init(r16177); } double f_im(double x, double eps) { mpfr_set_d(r16172, x, MPFR_RNDN); mpfr_set_d(r16173, eps, MPFR_RNDN); mpfr_add(r16174, r16172, r16173, MPFR_RNDN); mpfr_tan(r16175, r16174, MPFR_RNDN); mpfr_tan(r16176, r16172, MPFR_RNDN); mpfr_sub(r16177, r16175, r16176, MPFR_RNDN); return mpfr_get_d(r16177, MPFR_RNDN); } static mpfr_t r16178, r16179, r16180, r16181, 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; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16178); mpfr_init_set_str(r16179, "-8.102966659834604e-08", 10, MPFR_RNDN); mpfr_init(r16180); mpfr_init(r16181); mpfr_init(r16182); mpfr_init(r16183); 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_set_str(r16195, "8.510050417588485e-09", 10, MPFR_RNDN); mpfr_init(r16196); 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, "1/3", 10, MPFR_RNDN); mpfr_init(r16208); mpfr_init(r16209); mpfr_init(r16210); mpfr_init(r16211); mpfr_init_set_str(r16212, "4", 10, MPFR_RNDN); mpfr_init(r16213); mpfr_init(r16214); mpfr_init(r16215); mpfr_init_set_str(r16216, "4/3", 10, MPFR_RNDN); mpfr_init(r16217); mpfr_init(r16218); mpfr_init(r16219); mpfr_init(r16220); mpfr_init(r16221); mpfr_init(r16222); mpfr_init(r16223); mpfr_init(r16224); mpfr_init(r16225); } double f_fm(double x, double eps) { mpfr_set_d(r16178, eps, MPFR_RNDN); ; mpfr_set_si(r16180, mpfr_cmp(r16178, r16179) <= 0, MPFR_RNDN); mpfr_set_d(r16181, x, MPFR_RNDN); mpfr_sin(r16182, r16181, MPFR_RNDN); mpfr_cos(r16183, r16178, MPFR_RNDN); mpfr_mul(r16184, r16182, r16183, MPFR_RNDN); mpfr_cos(r16185, r16181, MPFR_RNDN); mpfr_sin(r16186, r16178, MPFR_RNDN); mpfr_mul(r16187, r16185, r16186, MPFR_RNDN); mpfr_add(r16188, r16184, r16187, MPFR_RNDN); mpfr_mul(r16189, r16185, r16183, MPFR_RNDN); mpfr_mul(r16190, r16182, r16186, MPFR_RNDN); mpfr_sub(r16191, r16189, r16190, MPFR_RNDN); mpfr_div(r16192, r16188, r16191, MPFR_RNDN); mpfr_tan(r16193, r16181, MPFR_RNDN); mpfr_sub(r16194, r16192, r16193, MPFR_RNDN); ; mpfr_set_si(r16196, mpfr_cmp(r16178, r16195) <= 0, MPFR_RNDN); mpfr_div(r16197, r16178, r16185, MPFR_RNDN); mpfr_div(r16198, r16185, r16182, MPFR_RNDN); mpfr_div(r16199, r16182, r16198, MPFR_RNDN); mpfr_sqr(r16200, r16178, MPFR_RNDN); mpfr_div(r16201, r16200, r16185, MPFR_RNDN); mpfr_mul(r16202, r16182, r16201, MPFR_RNDN); mpfr_fma(r16203, r16197, r16199, r16202, MPFR_RNDN); mpfr_mul(r16204, r16185, r16185, MPFR_RNDN); mpfr_mul(r16204, r16204, r16185, MPFR_RNDN); mpfr_div(r16205, r16200, r16204, MPFR_RNDN); mpfr_mul(r16206, r16182, r16182, MPFR_RNDN); mpfr_mul(r16206, r16206, r16182, MPFR_RNDN); ; mpfr_mul(r16208, r16178, r16178, MPFR_RNDN); mpfr_mul(r16208, r16208, r16178, MPFR_RNDN); mpfr_mul(r16209, r16207, r16208, MPFR_RNDN); mpfr_fma(r16210, r16205, r16206, r16209, MPFR_RNDN); mpfr_add(r16211, r16203, r16210, MPFR_RNDN); ; mpfr_pow(r16213, r16185, r16212, MPFR_RNDN); mpfr_div(r16214, r16208, r16213, MPFR_RNDN); mpfr_pow(r16215, r16182, r16212, MPFR_RNDN); ; mpfr_div(r16217, r16216, r16185, MPFR_RNDN); mpfr_mul(r16218, r16182, r16182, MPFR_RNDN); mpfr_div(r16219, r16185, r16208, MPFR_RNDN); mpfr_div(r16220, r16218, r16219, MPFR_RNDN); mpfr_fma(r16221, r16217, r16220, r16178, MPFR_RNDN); mpfr_fma(r16222, r16214, r16215, r16221, MPFR_RNDN); mpfr_add(r16223, r16211, r16222, MPFR_RNDN); if (mpfr_get_si(r16196, MPFR_RNDN)) { mpfr_set(r16224, r16223, MPFR_RNDN); } else { mpfr_set(r16224, r16194, MPFR_RNDN); }; if (mpfr_get_si(r16180, MPFR_RNDN)) { mpfr_set(r16225, r16194, MPFR_RNDN); } else { mpfr_set(r16225, r16224, MPFR_RNDN); }; return mpfr_get_d(r16225, MPFR_RNDN); } static mpfr_t r16226, r16227, r16228, r16229, r16230, r16231, r16232, r16233, r16234, r16235, r16236, r16237, 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; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16226); mpfr_init_set_str(r16227, "-8.102966659834604e-08", 10, MPFR_RNDN); mpfr_init(r16228); 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); mpfr_init(r16238); mpfr_init(r16239); mpfr_init(r16240); mpfr_init(r16241); mpfr_init(r16242); mpfr_init_set_str(r16243, "8.510050417588485e-09", 10, MPFR_RNDN); mpfr_init(r16244); 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, "1/3", 10, MPFR_RNDN); mpfr_init(r16256); mpfr_init(r16257); mpfr_init(r16258); mpfr_init(r16259); mpfr_init_set_str(r16260, "4", 10, MPFR_RNDN); mpfr_init(r16261); mpfr_init(r16262); mpfr_init(r16263); mpfr_init_set_str(r16264, "4/3", 10, MPFR_RNDN); mpfr_init(r16265); mpfr_init(r16266); mpfr_init(r16267); mpfr_init(r16268); mpfr_init(r16269); mpfr_init(r16270); mpfr_init(r16271); mpfr_init(r16272); mpfr_init(r16273); } double f_dm(double x, double eps) { mpfr_set_d(r16226, eps, MPFR_RNDN); ; mpfr_set_si(r16228, mpfr_cmp(r16226, r16227) <= 0, MPFR_RNDN); mpfr_set_d(r16229, x, MPFR_RNDN); mpfr_sin(r16230, r16229, MPFR_RNDN); mpfr_cos(r16231, r16226, MPFR_RNDN); mpfr_mul(r16232, r16230, r16231, MPFR_RNDN); mpfr_cos(r16233, r16229, MPFR_RNDN); mpfr_sin(r16234, r16226, MPFR_RNDN); mpfr_mul(r16235, r16233, r16234, MPFR_RNDN); mpfr_add(r16236, r16232, r16235, MPFR_RNDN); mpfr_mul(r16237, r16233, r16231, MPFR_RNDN); mpfr_mul(r16238, r16230, r16234, MPFR_RNDN); mpfr_sub(r16239, r16237, r16238, MPFR_RNDN); mpfr_div(r16240, r16236, r16239, MPFR_RNDN); mpfr_tan(r16241, r16229, MPFR_RNDN); mpfr_sub(r16242, r16240, r16241, MPFR_RNDN); ; mpfr_set_si(r16244, mpfr_cmp(r16226, r16243) <= 0, MPFR_RNDN); mpfr_div(r16245, r16226, r16233, MPFR_RNDN); mpfr_div(r16246, r16233, r16230, MPFR_RNDN); mpfr_div(r16247, r16230, r16246, MPFR_RNDN); mpfr_sqr(r16248, r16226, MPFR_RNDN); mpfr_div(r16249, r16248, r16233, MPFR_RNDN); mpfr_mul(r16250, r16230, r16249, MPFR_RNDN); mpfr_fma(r16251, r16245, r16247, r16250, MPFR_RNDN); mpfr_mul(r16252, r16233, r16233, MPFR_RNDN); mpfr_mul(r16252, r16252, r16233, MPFR_RNDN); mpfr_div(r16253, r16248, r16252, MPFR_RNDN); mpfr_mul(r16254, r16230, r16230, MPFR_RNDN); mpfr_mul(r16254, r16254, r16230, MPFR_RNDN); ; mpfr_mul(r16256, r16226, r16226, MPFR_RNDN); mpfr_mul(r16256, r16256, r16226, MPFR_RNDN); mpfr_mul(r16257, r16255, r16256, MPFR_RNDN); mpfr_fma(r16258, r16253, r16254, r16257, MPFR_RNDN); mpfr_add(r16259, r16251, r16258, MPFR_RNDN); ; mpfr_pow(r16261, r16233, r16260, MPFR_RNDN); mpfr_div(r16262, r16256, r16261, MPFR_RNDN); mpfr_pow(r16263, r16230, r16260, MPFR_RNDN); ; mpfr_div(r16265, r16264, r16233, MPFR_RNDN); mpfr_mul(r16266, r16230, r16230, MPFR_RNDN); mpfr_div(r16267, r16233, r16256, MPFR_RNDN); mpfr_div(r16268, r16266, r16267, MPFR_RNDN); mpfr_fma(r16269, r16265, r16268, r16226, MPFR_RNDN); mpfr_fma(r16270, r16262, r16263, r16269, MPFR_RNDN); mpfr_add(r16271, r16259, r16270, MPFR_RNDN); if (mpfr_get_si(r16244, MPFR_RNDN)) { mpfr_set(r16272, r16271, MPFR_RNDN); } else { mpfr_set(r16272, r16242, MPFR_RNDN); }; if (mpfr_get_si(r16228, MPFR_RNDN)) { mpfr_set(r16273, r16242, MPFR_RNDN); } else { mpfr_set(r16273, r16272, MPFR_RNDN); }; return mpfr_get_d(r16273, MPFR_RNDN); }