#include #include #include #include #include char *name = "NMSE problem 3.3.2"; double f_if(float x, float eps) { float r16116 = x; float r16117 = eps; float r16118 = r16116 + r16117; float r16119 = tan(r16118); float r16120 = tan(r16116); float r16121 = r16119 - r16120; return r16121; } double f_id(double x, double eps) { double r16122 = x; double r16123 = eps; double r16124 = r16122 + r16123; double r16125 = tan(r16124); double r16126 = tan(r16122); double r16127 = r16125 - r16126; return r16127; } double f_of(float x, float eps) { float r16128 = x; float r16129 = eps; float r16130 = r16128 + r16129; float r16131 = tan(r16130); float r16132 = tan(r16128); float r16133 = r16131 - r16132; float r16134 = -0.0013098667841404676f; bool r16135 = r16133 <= r16134; float r16136 = sin(r16128); float r16137 = cbrt(r16136); float r16138 = cos(r16128); float r16139 = cbrt(r16138); float r16140 = r16137 / r16139; float r16141 = r16140 * (r16140 * r16140); float r16142 = r16131 - r16141; float r16143 = 0.012468386441469193f; bool r16144 = r16133 <= r16143; float r16145 = r16129 / r16138; float r16146 = r16138 / r16136; float r16147 = r16136 / r16146; float r16148 = r16129 * r16129; float r16149 = r16148 / r16138; float r16150 = r16136 * r16149; float r16151 = fma(r16145, r16147, r16150); float r16152 = r16138 * (r16138 * r16138); float r16153 = r16148 / r16152; float r16154 = r16136 * (r16136 * r16136); float r16155 = 0.3333333432674408f; float r16156 = r16129 * (r16129 * r16129); float r16157 = r16155 * r16156; float r16158 = fma(r16153, r16154, r16157); float r16159 = r16151 + r16158; float r16160 = 4.0f; float r16161 = pow(r16138, r16160); float r16162 = r16156 / r16161; float r16163 = pow(r16136, r16160); float r16164 = 1.3333333730697632f; float r16165 = r16164 / r16138; float r16166 = r16136 * r16136; float r16167 = r16138 / r16156; float r16168 = r16166 / r16167; float r16169 = fma(r16165, r16168, r16129); float r16170 = fma(r16162, r16163, r16169); float r16171 = r16159 + r16170; float r16172 = r16144 ? r16171 : r16142; float r16173 = r16135 ? r16142 : r16172; return r16173; } double f_od(double x, double eps) { double r16174 = x; double r16175 = eps; double r16176 = r16174 + r16175; double r16177 = tan(r16176); double r16178 = tan(r16174); double r16179 = r16177 - r16178; double r16180 = -0.0013098667841404676; bool r16181 = r16179 <= r16180; double r16182 = sin(r16174); double r16183 = cbrt(r16182); double r16184 = cos(r16174); double r16185 = cbrt(r16184); double r16186 = r16183 / r16185; double r16187 = r16186 * (r16186 * r16186); double r16188 = r16177 - r16187; double r16189 = 0.012468386441469193; bool r16190 = r16179 <= r16189; double r16191 = r16175 / r16184; double r16192 = r16184 / r16182; double r16193 = r16182 / r16192; double r16194 = r16175 * r16175; double r16195 = r16194 / r16184; double r16196 = r16182 * r16195; double r16197 = fma(r16191, r16193, r16196); double r16198 = r16184 * (r16184 * r16184); double r16199 = r16194 / r16198; double r16200 = r16182 * (r16182 * r16182); double r16201 = 0.3333333432674408; double r16202 = r16175 * (r16175 * r16175); double r16203 = r16201 * r16202; double r16204 = fma(r16199, r16200, r16203); double r16205 = r16197 + r16204; double r16206 = 4.0; double r16207 = pow(r16184, r16206); double r16208 = r16202 / r16207; double r16209 = pow(r16182, r16206); double r16210 = 1.3333333730697632; double r16211 = r16210 / r16184; double r16212 = r16182 * r16182; double r16213 = r16184 / r16202; double r16214 = r16212 / r16213; double r16215 = fma(r16211, r16214, r16175); double r16216 = fma(r16208, r16209, r16215); double r16217 = r16205 + r16216; double r16218 = r16190 ? r16217 : r16188; double r16219 = r16181 ? r16188 : r16218; return r16219; } 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 r16220, r16221, r16222, r16223, r16224, r16225; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16220); mpfr_init(r16221); mpfr_init(r16222); mpfr_init(r16223); mpfr_init(r16224); mpfr_init(r16225); } double f_im(double x, double eps) { mpfr_set_d(r16220, x, MPFR_RNDN); mpfr_set_d(r16221, eps, MPFR_RNDN); mpfr_add(r16222, r16220, r16221, MPFR_RNDN); mpfr_tan(r16223, r16222, MPFR_RNDN); mpfr_tan(r16224, r16220, MPFR_RNDN); mpfr_sub(r16225, r16223, 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; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16226); mpfr_init(r16227); mpfr_init(r16228); mpfr_init(r16229); mpfr_init(r16230); mpfr_init(r16231); mpfr_init_set_str(r16232, "-0.0013098668f0", 10, MPFR_RNDN); 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_set_str(r16241, "0.012468386f0", 10, MPFR_RNDN); 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(r16251); mpfr_init(r16252); mpfr_init_set_str(r16253, "1/3", 10, MPFR_RNDN); mpfr_init(r16254); mpfr_init(r16255); mpfr_init(r16256); mpfr_init(r16257); mpfr_init_set_str(r16258, "4", 10, MPFR_RNDN); mpfr_init(r16259); mpfr_init(r16260); mpfr_init(r16261); mpfr_init_set_str(r16262, "4/3", 10, MPFR_RNDN); mpfr_init(r16263); mpfr_init(r16264); mpfr_init(r16265); mpfr_init(r16266); mpfr_init(r16267); mpfr_init(r16268); mpfr_init(r16269); mpfr_init(r16270); mpfr_init(r16271); } double f_fm(double x, double eps) { mpfr_set_d(r16226, x, MPFR_RNDN); mpfr_set_d(r16227, eps, MPFR_RNDN); mpfr_add(r16228, r16226, r16227, MPFR_RNDN); mpfr_tan(r16229, r16228, MPFR_RNDN); mpfr_tan(r16230, r16226, MPFR_RNDN); mpfr_sub(r16231, r16229, r16230, MPFR_RNDN); ; mpfr_set_si(r16233, mpfr_cmp(r16231, r16232) <= 0, MPFR_RNDN); mpfr_sin(r16234, r16226, MPFR_RNDN); mpfr_cbrt(r16235, r16234, MPFR_RNDN); mpfr_cos(r16236, r16226, MPFR_RNDN); mpfr_cbrt(r16237, r16236, MPFR_RNDN); mpfr_div(r16238, r16235, r16237, MPFR_RNDN); mpfr_mul(r16239, r16238, r16238, MPFR_RNDN); mpfr_mul(r16239, r16239, r16238, MPFR_RNDN); mpfr_sub(r16240, r16229, r16239, MPFR_RNDN); ; mpfr_set_si(r16242, mpfr_cmp(r16231, r16241) <= 0, MPFR_RNDN); mpfr_div(r16243, r16227, r16236, MPFR_RNDN); mpfr_div(r16244, r16236, r16234, MPFR_RNDN); mpfr_div(r16245, r16234, r16244, MPFR_RNDN); mpfr_sqr(r16246, r16227, MPFR_RNDN); mpfr_div(r16247, r16246, r16236, MPFR_RNDN); mpfr_mul(r16248, r16234, r16247, MPFR_RNDN); mpfr_fma(r16249, r16243, r16245, r16248, MPFR_RNDN); mpfr_mul(r16250, r16236, r16236, MPFR_RNDN); mpfr_mul(r16250, r16250, r16236, MPFR_RNDN); mpfr_div(r16251, r16246, r16250, MPFR_RNDN); mpfr_mul(r16252, r16234, r16234, MPFR_RNDN); mpfr_mul(r16252, r16252, r16234, MPFR_RNDN); ; mpfr_mul(r16254, r16227, r16227, MPFR_RNDN); mpfr_mul(r16254, r16254, r16227, MPFR_RNDN); mpfr_mul(r16255, r16253, r16254, MPFR_RNDN); mpfr_fma(r16256, r16251, r16252, r16255, MPFR_RNDN); mpfr_add(r16257, r16249, r16256, MPFR_RNDN); ; mpfr_pow(r16259, r16236, r16258, MPFR_RNDN); mpfr_div(r16260, r16254, r16259, MPFR_RNDN); mpfr_pow(r16261, r16234, r16258, MPFR_RNDN); ; mpfr_div(r16263, r16262, r16236, MPFR_RNDN); mpfr_mul(r16264, r16234, r16234, MPFR_RNDN); mpfr_div(r16265, r16236, r16254, MPFR_RNDN); mpfr_div(r16266, r16264, r16265, MPFR_RNDN); mpfr_fma(r16267, r16263, r16266, r16227, MPFR_RNDN); mpfr_fma(r16268, r16260, r16261, r16267, MPFR_RNDN); mpfr_add(r16269, r16257, r16268, MPFR_RNDN); if (mpfr_get_si(r16242, MPFR_RNDN)) { mpfr_set(r16270, r16269, MPFR_RNDN); } else { mpfr_set(r16270, r16240, MPFR_RNDN); }; if (mpfr_get_si(r16233, MPFR_RNDN)) { mpfr_set(r16271, r16240, MPFR_RNDN); } else { mpfr_set(r16271, r16270, MPFR_RNDN); }; return mpfr_get_d(r16271, MPFR_RNDN); } static mpfr_t r16272, r16273, r16274, r16275, r16276, r16277, r16278, r16279, r16280, r16281, r16282, r16283, r16284, r16285, r16286, r16287, r16288, r16289, r16290, r16291, r16292, r16293, r16294, r16295, r16296, r16297, r16298, r16299, r16300, r16301, r16302, r16303, r16304, r16305, r16306, r16307, r16308, r16309, r16310, r16311, r16312, r16313, r16314, r16315, r16316, r16317; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16272); mpfr_init(r16273); mpfr_init(r16274); mpfr_init(r16275); mpfr_init(r16276); mpfr_init(r16277); mpfr_init_set_str(r16278, "-0.0013098668f0", 10, MPFR_RNDN); mpfr_init(r16279); mpfr_init(r16280); mpfr_init(r16281); mpfr_init(r16282); mpfr_init(r16283); mpfr_init(r16284); mpfr_init(r16285); mpfr_init(r16286); mpfr_init_set_str(r16287, "0.012468386f0", 10, MPFR_RNDN); mpfr_init(r16288); mpfr_init(r16289); mpfr_init(r16290); mpfr_init(r16291); mpfr_init(r16292); mpfr_init(r16293); mpfr_init(r16294); mpfr_init(r16295); mpfr_init(r16296); mpfr_init(r16297); mpfr_init(r16298); mpfr_init_set_str(r16299, "1/3", 10, MPFR_RNDN); mpfr_init(r16300); mpfr_init(r16301); mpfr_init(r16302); mpfr_init(r16303); mpfr_init_set_str(r16304, "4", 10, MPFR_RNDN); mpfr_init(r16305); mpfr_init(r16306); mpfr_init(r16307); mpfr_init_set_str(r16308, "4/3", 10, MPFR_RNDN); mpfr_init(r16309); mpfr_init(r16310); mpfr_init(r16311); mpfr_init(r16312); mpfr_init(r16313); mpfr_init(r16314); mpfr_init(r16315); mpfr_init(r16316); mpfr_init(r16317); } double f_dm(double x, double eps) { mpfr_set_d(r16272, x, MPFR_RNDN); mpfr_set_d(r16273, eps, MPFR_RNDN); mpfr_add(r16274, r16272, r16273, MPFR_RNDN); mpfr_tan(r16275, r16274, MPFR_RNDN); mpfr_tan(r16276, r16272, MPFR_RNDN); mpfr_sub(r16277, r16275, r16276, MPFR_RNDN); ; mpfr_set_si(r16279, mpfr_cmp(r16277, r16278) <= 0, MPFR_RNDN); mpfr_sin(r16280, r16272, MPFR_RNDN); mpfr_cbrt(r16281, r16280, MPFR_RNDN); mpfr_cos(r16282, r16272, MPFR_RNDN); mpfr_cbrt(r16283, r16282, MPFR_RNDN); mpfr_div(r16284, r16281, r16283, MPFR_RNDN); mpfr_mul(r16285, r16284, r16284, MPFR_RNDN); mpfr_mul(r16285, r16285, r16284, MPFR_RNDN); mpfr_sub(r16286, r16275, r16285, MPFR_RNDN); ; mpfr_set_si(r16288, mpfr_cmp(r16277, r16287) <= 0, MPFR_RNDN); mpfr_div(r16289, r16273, r16282, MPFR_RNDN); mpfr_div(r16290, r16282, r16280, MPFR_RNDN); mpfr_div(r16291, r16280, r16290, MPFR_RNDN); mpfr_sqr(r16292, r16273, MPFR_RNDN); mpfr_div(r16293, r16292, r16282, MPFR_RNDN); mpfr_mul(r16294, r16280, r16293, MPFR_RNDN); mpfr_fma(r16295, r16289, r16291, r16294, MPFR_RNDN); mpfr_mul(r16296, r16282, r16282, MPFR_RNDN); mpfr_mul(r16296, r16296, r16282, MPFR_RNDN); mpfr_div(r16297, r16292, r16296, MPFR_RNDN); mpfr_mul(r16298, r16280, r16280, MPFR_RNDN); mpfr_mul(r16298, r16298, r16280, MPFR_RNDN); ; mpfr_mul(r16300, r16273, r16273, MPFR_RNDN); mpfr_mul(r16300, r16300, r16273, MPFR_RNDN); mpfr_mul(r16301, r16299, r16300, MPFR_RNDN); mpfr_fma(r16302, r16297, r16298, r16301, MPFR_RNDN); mpfr_add(r16303, r16295, r16302, MPFR_RNDN); ; mpfr_pow(r16305, r16282, r16304, MPFR_RNDN); mpfr_div(r16306, r16300, r16305, MPFR_RNDN); mpfr_pow(r16307, r16280, r16304, MPFR_RNDN); ; mpfr_div(r16309, r16308, r16282, MPFR_RNDN); mpfr_mul(r16310, r16280, r16280, MPFR_RNDN); mpfr_div(r16311, r16282, r16300, MPFR_RNDN); mpfr_div(r16312, r16310, r16311, MPFR_RNDN); mpfr_fma(r16313, r16309, r16312, r16273, MPFR_RNDN); mpfr_fma(r16314, r16306, r16307, r16313, MPFR_RNDN); mpfr_add(r16315, r16303, r16314, MPFR_RNDN); if (mpfr_get_si(r16288, MPFR_RNDN)) { mpfr_set(r16316, r16315, MPFR_RNDN); } else { mpfr_set(r16316, r16286, MPFR_RNDN); }; if (mpfr_get_si(r16279, MPFR_RNDN)) { mpfr_set(r16317, r16286, MPFR_RNDN); } else { mpfr_set(r16317, r16316, MPFR_RNDN); }; return mpfr_get_d(r16317, MPFR_RNDN); }