#include #include #include #include #include char *name = "NMSE problem 3.3.2"; double f_if(float x, float eps) { float r16044 = x; float r16045 = eps; float r16046 = r16044 + r16045; float r16047 = tan(r16046); float r16048 = tan(r16044); float r16049 = r16047 - r16048; return r16049; } double f_id(double x, double eps) { double r16050 = x; double r16051 = eps; double r16052 = r16050 + r16051; double r16053 = tan(r16052); double r16054 = tan(r16050); double r16055 = r16053 - r16054; return r16055; } double f_of(float x, float eps) { float r16056 = eps; float r16057 = -7.175399107131671e-12f; bool r16058 = r16056 <= r16057; float r16059 = 1.0f; float r16060 = x; float r16061 = r16060 + r16056; float r16062 = cos(r16061); float r16063 = r16059 / r16062; float r16064 = sin(r16060); float r16065 = cos(r16056); float r16066 = r16064 * r16065; float r16067 = r16063 * r16066; float r16068 = cos(r16060); float r16069 = sin(r16056); float r16070 = r16068 * r16069; float r16071 = r16056 + r16060; float r16072 = cos(r16071); float r16073 = r16070 / r16072; float r16074 = tan(r16060); float r16075 = r16073 - r16074; float r16076 = r16067 + r16075; float r16077 = 45926.76670985681f; bool r16078 = r16056 <= r16077; float r16079 = r16056 / r16068; float r16080 = r16068 / r16064; float r16081 = r16064 / r16080; float r16082 = r16056 * r16056; float r16083 = r16082 / r16068; float r16084 = r16064 * r16083; float r16085 = fma(r16079, r16081, r16084); float r16086 = r16068 * (r16068 * r16068); float r16087 = r16082 / r16086; float r16088 = r16064 * (r16064 * r16064); float r16089 = 0.3333333333333333f; float r16090 = r16056 * (r16056 * r16056); float r16091 = r16089 * r16090; float r16092 = fma(r16087, r16088, r16091); float r16093 = r16085 + r16092; float r16094 = 4.0f; float r16095 = pow(r16068, r16094); float r16096 = r16090 / r16095; float r16097 = pow(r16064, r16094); float r16098 = 1.3333333333333333f; float r16099 = r16098 / r16068; float r16100 = r16064 * r16064; float r16101 = r16068 / r16090; float r16102 = r16100 / r16101; float r16103 = fma(r16099, r16102, r16056); float r16104 = fma(r16096, r16097, r16103); float r16105 = r16093 + r16104; float r16106 = r16078 ? r16105 : r16076; float r16107 = r16058 ? r16076 : r16106; return r16107; } double f_od(double x, double eps) { double r16108 = eps; double r16109 = -7.175399107131671e-12; bool r16110 = r16108 <= r16109; double r16111 = 1.0; double r16112 = x; double r16113 = r16112 + r16108; double r16114 = cos(r16113); double r16115 = r16111 / r16114; double r16116 = sin(r16112); double r16117 = cos(r16108); double r16118 = r16116 * r16117; double r16119 = r16115 * r16118; double r16120 = cos(r16112); double r16121 = sin(r16108); double r16122 = r16120 * r16121; double r16123 = r16108 + r16112; double r16124 = cos(r16123); double r16125 = r16122 / r16124; double r16126 = tan(r16112); double r16127 = r16125 - r16126; double r16128 = r16119 + r16127; double r16129 = 45926.76670985681; bool r16130 = r16108 <= r16129; double r16131 = r16108 / r16120; double r16132 = r16120 / r16116; double r16133 = r16116 / r16132; double r16134 = r16108 * r16108; double r16135 = r16134 / r16120; double r16136 = r16116 * r16135; double r16137 = fma(r16131, r16133, r16136); double r16138 = r16120 * (r16120 * r16120); double r16139 = r16134 / r16138; double r16140 = r16116 * (r16116 * r16116); double r16141 = 0.3333333333333333; double r16142 = r16108 * (r16108 * r16108); double r16143 = r16141 * r16142; double r16144 = fma(r16139, r16140, r16143); double r16145 = r16137 + r16144; double r16146 = 4.0; double r16147 = pow(r16120, r16146); double r16148 = r16142 / r16147; double r16149 = pow(r16116, r16146); double r16150 = 1.3333333333333333; double r16151 = r16150 / r16120; double r16152 = r16116 * r16116; double r16153 = r16120 / r16142; double r16154 = r16152 / r16153; double r16155 = fma(r16151, r16154, r16108); double r16156 = fma(r16148, r16149, r16155); double r16157 = r16145 + r16156; double r16158 = r16130 ? r16157 : r16128; double r16159 = r16110 ? r16128 : r16158; return r16159; } 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 r16160, r16161, r16162, r16163, r16164, r16165; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16160); mpfr_init(r16161); mpfr_init(r16162); mpfr_init(r16163); mpfr_init(r16164); mpfr_init(r16165); } double f_im(double x, double eps) { mpfr_set_d(r16160, x, MPFR_RNDN); mpfr_set_d(r16161, eps, MPFR_RNDN); mpfr_add(r16162, r16160, r16161, MPFR_RNDN); mpfr_tan(r16163, r16162, MPFR_RNDN); mpfr_tan(r16164, r16160, MPFR_RNDN); mpfr_sub(r16165, r16163, r16164, MPFR_RNDN); return mpfr_get_d(r16165, MPFR_RNDN); } static mpfr_t r16166, r16167, r16168, r16169, r16170, r16171, r16172, r16173, r16174, r16175, r16176, r16177, 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; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16166); mpfr_init_set_str(r16167, "-7.175399107131671e-12", 10, MPFR_RNDN); mpfr_init(r16168); mpfr_init_set_str(r16169, "1", 10, MPFR_RNDN); mpfr_init(r16170); mpfr_init(r16171); mpfr_init(r16172); 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); mpfr_init(r16182); mpfr_init(r16183); mpfr_init(r16184); mpfr_init(r16185); mpfr_init(r16186); mpfr_init_set_str(r16187, "45926.76670985681", 10, MPFR_RNDN); 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, "1/3", 10, MPFR_RNDN); mpfr_init(r16200); mpfr_init(r16201); mpfr_init(r16202); mpfr_init(r16203); mpfr_init_set_str(r16204, "4", 10, MPFR_RNDN); mpfr_init(r16205); mpfr_init(r16206); mpfr_init(r16207); mpfr_init_set_str(r16208, "4/3", 10, MPFR_RNDN); 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); } double f_fm(double x, double eps) { mpfr_set_d(r16166, eps, MPFR_RNDN); ; mpfr_set_si(r16168, mpfr_cmp(r16166, r16167) <= 0, MPFR_RNDN); ; mpfr_set_d(r16170, x, MPFR_RNDN); mpfr_add(r16171, r16170, r16166, MPFR_RNDN); mpfr_cos(r16172, r16171, MPFR_RNDN); mpfr_div(r16173, r16169, r16172, MPFR_RNDN); mpfr_sin(r16174, r16170, MPFR_RNDN); mpfr_cos(r16175, r16166, MPFR_RNDN); mpfr_mul(r16176, r16174, r16175, MPFR_RNDN); mpfr_mul(r16177, r16173, r16176, MPFR_RNDN); mpfr_cos(r16178, r16170, MPFR_RNDN); mpfr_sin(r16179, r16166, MPFR_RNDN); mpfr_mul(r16180, r16178, r16179, MPFR_RNDN); mpfr_add(r16181, r16166, r16170, MPFR_RNDN); mpfr_cos(r16182, r16181, MPFR_RNDN); mpfr_div(r16183, r16180, r16182, MPFR_RNDN); mpfr_tan(r16184, r16170, MPFR_RNDN); mpfr_sub(r16185, r16183, r16184, MPFR_RNDN); mpfr_add(r16186, r16177, r16185, MPFR_RNDN); ; mpfr_set_si(r16188, mpfr_cmp(r16166, r16187) <= 0, MPFR_RNDN); mpfr_div(r16189, r16166, r16178, MPFR_RNDN); mpfr_div(r16190, r16178, r16174, MPFR_RNDN); mpfr_div(r16191, r16174, r16190, MPFR_RNDN); mpfr_sqr(r16192, r16166, MPFR_RNDN); mpfr_div(r16193, r16192, r16178, MPFR_RNDN); mpfr_mul(r16194, r16174, r16193, MPFR_RNDN); mpfr_fma(r16195, r16189, r16191, r16194, MPFR_RNDN); mpfr_mul(r16196, r16178, r16178, MPFR_RNDN); mpfr_mul(r16196, r16196, r16178, MPFR_RNDN); mpfr_div(r16197, r16192, r16196, MPFR_RNDN); mpfr_mul(r16198, r16174, r16174, MPFR_RNDN); mpfr_mul(r16198, r16198, r16174, MPFR_RNDN); ; mpfr_mul(r16200, r16166, r16166, MPFR_RNDN); mpfr_mul(r16200, r16200, r16166, MPFR_RNDN); mpfr_mul(r16201, r16199, r16200, MPFR_RNDN); mpfr_fma(r16202, r16197, r16198, r16201, MPFR_RNDN); mpfr_add(r16203, r16195, r16202, MPFR_RNDN); ; mpfr_pow(r16205, r16178, r16204, MPFR_RNDN); mpfr_div(r16206, r16200, r16205, MPFR_RNDN); mpfr_pow(r16207, r16174, r16204, MPFR_RNDN); ; mpfr_div(r16209, r16208, r16178, MPFR_RNDN); mpfr_mul(r16210, r16174, r16174, MPFR_RNDN); mpfr_div(r16211, r16178, r16200, MPFR_RNDN); mpfr_div(r16212, r16210, r16211, MPFR_RNDN); mpfr_fma(r16213, r16209, r16212, r16166, MPFR_RNDN); mpfr_fma(r16214, r16206, r16207, r16213, MPFR_RNDN); mpfr_add(r16215, r16203, r16214, MPFR_RNDN); if (mpfr_get_si(r16188, MPFR_RNDN)) { mpfr_set(r16216, r16215, MPFR_RNDN); } else { mpfr_set(r16216, r16186, MPFR_RNDN); }; if (mpfr_get_si(r16168, MPFR_RNDN)) { mpfr_set(r16217, r16186, MPFR_RNDN); } else { mpfr_set(r16217, r16216, MPFR_RNDN); }; return mpfr_get_d(r16217, MPFR_RNDN); } static mpfr_t r16218, r16219, r16220, r16221, r16222, r16223, r16224, r16225, 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; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16218); mpfr_init_set_str(r16219, "-7.175399107131671e-12", 10, MPFR_RNDN); mpfr_init(r16220); mpfr_init_set_str(r16221, "1", 10, MPFR_RNDN); mpfr_init(r16222); mpfr_init(r16223); mpfr_init(r16224); mpfr_init(r16225); mpfr_init(r16226); mpfr_init(r16227); 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_set_str(r16239, "45926.76670985681", 10, MPFR_RNDN); mpfr_init(r16240); mpfr_init(r16241); mpfr_init(r16242); mpfr_init(r16243); mpfr_init(r16244); mpfr_init(r16245); mpfr_init(r16246); mpfr_init(r16247); mpfr_init(r16248); mpfr_init(r16249); mpfr_init(r16250); mpfr_init_set_str(r16251, "1/3", 10, MPFR_RNDN); mpfr_init(r16252); mpfr_init(r16253); mpfr_init(r16254); mpfr_init(r16255); mpfr_init_set_str(r16256, "4", 10, MPFR_RNDN); mpfr_init(r16257); mpfr_init(r16258); mpfr_init(r16259); mpfr_init_set_str(r16260, "4/3", 10, MPFR_RNDN); mpfr_init(r16261); mpfr_init(r16262); mpfr_init(r16263); mpfr_init(r16264); mpfr_init(r16265); mpfr_init(r16266); mpfr_init(r16267); mpfr_init(r16268); mpfr_init(r16269); } double f_dm(double x, double eps) { mpfr_set_d(r16218, eps, MPFR_RNDN); ; mpfr_set_si(r16220, mpfr_cmp(r16218, r16219) <= 0, MPFR_RNDN); ; mpfr_set_d(r16222, x, MPFR_RNDN); mpfr_add(r16223, r16222, r16218, MPFR_RNDN); mpfr_cos(r16224, r16223, MPFR_RNDN); mpfr_div(r16225, r16221, r16224, MPFR_RNDN); mpfr_sin(r16226, r16222, MPFR_RNDN); mpfr_cos(r16227, r16218, MPFR_RNDN); mpfr_mul(r16228, r16226, r16227, MPFR_RNDN); mpfr_mul(r16229, r16225, r16228, MPFR_RNDN); mpfr_cos(r16230, r16222, MPFR_RNDN); mpfr_sin(r16231, r16218, MPFR_RNDN); mpfr_mul(r16232, r16230, r16231, MPFR_RNDN); mpfr_add(r16233, r16218, r16222, MPFR_RNDN); mpfr_cos(r16234, r16233, MPFR_RNDN); mpfr_div(r16235, r16232, r16234, MPFR_RNDN); mpfr_tan(r16236, r16222, MPFR_RNDN); mpfr_sub(r16237, r16235, r16236, MPFR_RNDN); mpfr_add(r16238, r16229, r16237, MPFR_RNDN); ; mpfr_set_si(r16240, mpfr_cmp(r16218, r16239) <= 0, MPFR_RNDN); mpfr_div(r16241, r16218, r16230, MPFR_RNDN); mpfr_div(r16242, r16230, r16226, MPFR_RNDN); mpfr_div(r16243, r16226, r16242, MPFR_RNDN); mpfr_sqr(r16244, r16218, MPFR_RNDN); mpfr_div(r16245, r16244, r16230, MPFR_RNDN); mpfr_mul(r16246, r16226, r16245, MPFR_RNDN); mpfr_fma(r16247, r16241, r16243, r16246, MPFR_RNDN); mpfr_mul(r16248, r16230, r16230, MPFR_RNDN); mpfr_mul(r16248, r16248, r16230, MPFR_RNDN); mpfr_div(r16249, r16244, r16248, MPFR_RNDN); mpfr_mul(r16250, r16226, r16226, MPFR_RNDN); mpfr_mul(r16250, r16250, r16226, MPFR_RNDN); ; mpfr_mul(r16252, r16218, r16218, MPFR_RNDN); mpfr_mul(r16252, r16252, r16218, MPFR_RNDN); mpfr_mul(r16253, r16251, r16252, MPFR_RNDN); mpfr_fma(r16254, r16249, r16250, r16253, MPFR_RNDN); mpfr_add(r16255, r16247, r16254, MPFR_RNDN); ; mpfr_pow(r16257, r16230, r16256, MPFR_RNDN); mpfr_div(r16258, r16252, r16257, MPFR_RNDN); mpfr_pow(r16259, r16226, r16256, MPFR_RNDN); ; mpfr_div(r16261, r16260, r16230, MPFR_RNDN); mpfr_mul(r16262, r16226, r16226, MPFR_RNDN); mpfr_div(r16263, r16230, r16252, MPFR_RNDN); mpfr_div(r16264, r16262, r16263, MPFR_RNDN); mpfr_fma(r16265, r16261, r16264, r16218, MPFR_RNDN); mpfr_fma(r16266, r16258, r16259, r16265, MPFR_RNDN); mpfr_add(r16267, r16255, r16266, MPFR_RNDN); if (mpfr_get_si(r16240, MPFR_RNDN)) { mpfr_set(r16268, r16267, MPFR_RNDN); } else { mpfr_set(r16268, r16238, MPFR_RNDN); }; if (mpfr_get_si(r16220, MPFR_RNDN)) { mpfr_set(r16269, r16238, MPFR_RNDN); } else { mpfr_set(r16269, r16268, MPFR_RNDN); }; return mpfr_get_d(r16269, MPFR_RNDN); }