#include #include #include #include #include char *name = "NMSE problem 3.3.2"; double f_if(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; return r16133; } double f_id(double x, double eps) { double r16134 = x; double r16135 = eps; double r16136 = r16134 + r16135; double r16137 = tan(r16136); double r16138 = tan(r16134); double r16139 = r16137 - r16138; return r16139; } double f_of(float x, float eps) { float r16140 = eps; float r16141 = -2011.657242358063f; bool r16142 = r16140 <= r16141; float r16143 = x; float r16144 = r16143 + r16140; float r16145 = tan(r16144); float r16146 = tan(r16143); float r16147 = r16145 - r16146; float r16148 = exp(r16147); float r16149 = log(r16148); float r16150 = 1.888112624037396e+21f; bool r16151 = r16140 <= r16150; float r16152 = cos(r16143); float r16153 = r16140 / r16152; float r16154 = sin(r16143); float r16155 = r16152 / r16154; float r16156 = r16154 / r16155; float r16157 = r16140 * r16140; float r16158 = r16157 / r16152; float r16159 = r16154 * r16158; float r16160 = fma(r16153, r16156, r16159); float r16161 = r16152 * (r16152 * r16152); float r16162 = r16157 / r16161; float r16163 = r16154 * (r16154 * r16154); float r16164 = 0.3333333333333333f; float r16165 = r16140 * (r16140 * r16140); float r16166 = r16164 * r16165; float r16167 = fma(r16162, r16163, r16166); float r16168 = r16160 + r16167; float r16169 = 4.0f; float r16170 = pow(r16152, r16169); float r16171 = r16165 / r16170; float r16172 = pow(r16154, r16169); float r16173 = 1.3333333333333333f; float r16174 = r16173 / r16152; float r16175 = r16154 * r16154; float r16176 = r16152 / r16165; float r16177 = r16175 / r16176; float r16178 = fma(r16174, r16177, r16140); float r16179 = fma(r16171, r16172, r16178); float r16180 = r16168 + r16179; float r16181 = r16151 ? r16180 : r16149; float r16182 = r16142 ? r16149 : r16181; return r16182; } double f_od(double x, double eps) { double r16183 = eps; double r16184 = -2011.657242358063; bool r16185 = r16183 <= r16184; double r16186 = x; double r16187 = r16186 + r16183; double r16188 = tan(r16187); double r16189 = tan(r16186); double r16190 = r16188 - r16189; double r16191 = exp(r16190); double r16192 = log(r16191); double r16193 = 1.888112624037396e+21; bool r16194 = r16183 <= r16193; double r16195 = cos(r16186); double r16196 = r16183 / r16195; double r16197 = sin(r16186); double r16198 = r16195 / r16197; double r16199 = r16197 / r16198; double r16200 = r16183 * r16183; double r16201 = r16200 / r16195; double r16202 = r16197 * r16201; double r16203 = fma(r16196, r16199, r16202); double r16204 = r16195 * (r16195 * r16195); double r16205 = r16200 / r16204; double r16206 = r16197 * (r16197 * r16197); double r16207 = 0.3333333333333333; double r16208 = r16183 * (r16183 * r16183); double r16209 = r16207 * r16208; double r16210 = fma(r16205, r16206, r16209); double r16211 = r16203 + r16210; double r16212 = 4.0; double r16213 = pow(r16195, r16212); double r16214 = r16208 / r16213; double r16215 = pow(r16197, r16212); double r16216 = 1.3333333333333333; double r16217 = r16216 / r16195; double r16218 = r16197 * r16197; double r16219 = r16195 / r16208; double r16220 = r16218 / r16219; double r16221 = fma(r16217, r16220, r16183); double r16222 = fma(r16214, r16215, r16221); double r16223 = r16211 + r16222; double r16224 = r16194 ? r16223 : r16192; double r16225 = r16185 ? r16192 : r16224; return r16225; } 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 r16226, r16227, r16228, r16229, r16230, r16231; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16226); mpfr_init(r16227); mpfr_init(r16228); mpfr_init(r16229); mpfr_init(r16230); mpfr_init(r16231); } double f_im(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); return mpfr_get_d(r16231, MPFR_RNDN); } static mpfr_t 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, r16274; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16232); mpfr_init_set_str(r16233, "-2011.657242358063", 10, MPFR_RNDN); 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_set_str(r16242, "1.888112624037396e+21", 10, MPFR_RNDN); 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(r16253); mpfr_init(r16254); mpfr_init(r16255); mpfr_init_set_str(r16256, "1/3", 10, MPFR_RNDN); mpfr_init(r16257); mpfr_init(r16258); mpfr_init(r16259); mpfr_init(r16260); mpfr_init_set_str(r16261, "4", 10, MPFR_RNDN); mpfr_init(r16262); mpfr_init(r16263); mpfr_init(r16264); mpfr_init_set_str(r16265, "4/3", 10, MPFR_RNDN); mpfr_init(r16266); mpfr_init(r16267); mpfr_init(r16268); mpfr_init(r16269); mpfr_init(r16270); mpfr_init(r16271); mpfr_init(r16272); mpfr_init(r16273); mpfr_init(r16274); } double f_fm(double x, double eps) { mpfr_set_d(r16232, eps, MPFR_RNDN); ; mpfr_set_si(r16234, mpfr_cmp(r16232, r16233) <= 0, MPFR_RNDN); mpfr_set_d(r16235, x, MPFR_RNDN); mpfr_add(r16236, r16235, r16232, MPFR_RNDN); mpfr_tan(r16237, r16236, MPFR_RNDN); mpfr_tan(r16238, r16235, MPFR_RNDN); mpfr_sub(r16239, r16237, r16238, MPFR_RNDN); mpfr_exp(r16240, r16239, MPFR_RNDN); mpfr_log(r16241, r16240, MPFR_RNDN); ; mpfr_set_si(r16243, mpfr_cmp(r16232, r16242) <= 0, MPFR_RNDN); mpfr_cos(r16244, r16235, MPFR_RNDN); mpfr_div(r16245, r16232, r16244, MPFR_RNDN); mpfr_sin(r16246, r16235, MPFR_RNDN); mpfr_div(r16247, r16244, r16246, MPFR_RNDN); mpfr_div(r16248, r16246, r16247, MPFR_RNDN); mpfr_sqr(r16249, r16232, MPFR_RNDN); mpfr_div(r16250, r16249, r16244, MPFR_RNDN); mpfr_mul(r16251, r16246, r16250, MPFR_RNDN); mpfr_fma(r16252, r16245, r16248, r16251, MPFR_RNDN); mpfr_mul(r16253, r16244, r16244, MPFR_RNDN); mpfr_mul(r16253, r16253, r16244, MPFR_RNDN); mpfr_div(r16254, r16249, r16253, MPFR_RNDN); mpfr_mul(r16255, r16246, r16246, MPFR_RNDN); mpfr_mul(r16255, r16255, r16246, MPFR_RNDN); ; mpfr_mul(r16257, r16232, r16232, MPFR_RNDN); mpfr_mul(r16257, r16257, r16232, MPFR_RNDN); mpfr_mul(r16258, r16256, r16257, MPFR_RNDN); mpfr_fma(r16259, r16254, r16255, r16258, MPFR_RNDN); mpfr_add(r16260, r16252, r16259, MPFR_RNDN); ; mpfr_pow(r16262, r16244, r16261, MPFR_RNDN); mpfr_div(r16263, r16257, r16262, MPFR_RNDN); mpfr_pow(r16264, r16246, r16261, MPFR_RNDN); ; mpfr_div(r16266, r16265, r16244, MPFR_RNDN); mpfr_mul(r16267, r16246, r16246, MPFR_RNDN); mpfr_div(r16268, r16244, r16257, MPFR_RNDN); mpfr_div(r16269, r16267, r16268, MPFR_RNDN); mpfr_fma(r16270, r16266, r16269, r16232, MPFR_RNDN); mpfr_fma(r16271, r16263, r16264, r16270, MPFR_RNDN); mpfr_add(r16272, r16260, r16271, MPFR_RNDN); if (mpfr_get_si(r16243, MPFR_RNDN)) { mpfr_set(r16273, r16272, MPFR_RNDN); } else { mpfr_set(r16273, r16241, MPFR_RNDN); }; if (mpfr_get_si(r16234, MPFR_RNDN)) { mpfr_set(r16274, r16241, MPFR_RNDN); } else { mpfr_set(r16274, r16273, MPFR_RNDN); }; return mpfr_get_d(r16274, MPFR_RNDN); } static mpfr_t 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(r16275); mpfr_init_set_str(r16276, "-2011.657242358063", 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_set_str(r16285, "1.888112624037396e+21", 10, MPFR_RNDN); mpfr_init(r16286); mpfr_init(r16287); 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(r16275, eps, MPFR_RNDN); ; mpfr_set_si(r16277, mpfr_cmp(r16275, r16276) <= 0, MPFR_RNDN); mpfr_set_d(r16278, x, MPFR_RNDN); mpfr_add(r16279, r16278, r16275, MPFR_RNDN); mpfr_tan(r16280, r16279, MPFR_RNDN); mpfr_tan(r16281, r16278, MPFR_RNDN); mpfr_sub(r16282, r16280, r16281, MPFR_RNDN); mpfr_exp(r16283, r16282, MPFR_RNDN); mpfr_log(r16284, r16283, MPFR_RNDN); ; mpfr_set_si(r16286, mpfr_cmp(r16275, r16285) <= 0, MPFR_RNDN); mpfr_cos(r16287, r16278, MPFR_RNDN); mpfr_div(r16288, r16275, r16287, MPFR_RNDN); mpfr_sin(r16289, r16278, MPFR_RNDN); mpfr_div(r16290, r16287, r16289, MPFR_RNDN); mpfr_div(r16291, r16289, r16290, MPFR_RNDN); mpfr_sqr(r16292, r16275, MPFR_RNDN); mpfr_div(r16293, r16292, r16287, MPFR_RNDN); mpfr_mul(r16294, r16289, r16293, MPFR_RNDN); mpfr_fma(r16295, r16288, r16291, r16294, MPFR_RNDN); mpfr_mul(r16296, r16287, r16287, MPFR_RNDN); mpfr_mul(r16296, r16296, r16287, MPFR_RNDN); mpfr_div(r16297, r16292, r16296, MPFR_RNDN); mpfr_mul(r16298, r16289, r16289, MPFR_RNDN); mpfr_mul(r16298, r16298, r16289, MPFR_RNDN); ; mpfr_mul(r16300, r16275, r16275, MPFR_RNDN); mpfr_mul(r16300, r16300, r16275, 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, r16287, r16304, MPFR_RNDN); mpfr_div(r16306, r16300, r16305, MPFR_RNDN); mpfr_pow(r16307, r16289, r16304, MPFR_RNDN); ; mpfr_div(r16309, r16308, r16287, MPFR_RNDN); mpfr_mul(r16310, r16289, r16289, MPFR_RNDN); mpfr_div(r16311, r16287, r16300, MPFR_RNDN); mpfr_div(r16312, r16310, r16311, MPFR_RNDN); mpfr_fma(r16313, r16309, r16312, r16275, MPFR_RNDN); mpfr_fma(r16314, r16306, r16307, r16313, MPFR_RNDN); mpfr_add(r16315, r16303, r16314, MPFR_RNDN); if (mpfr_get_si(r16286, MPFR_RNDN)) { mpfr_set(r16316, r16315, MPFR_RNDN); } else { mpfr_set(r16316, r16284, MPFR_RNDN); }; if (mpfr_get_si(r16277, MPFR_RNDN)) { mpfr_set(r16317, r16284, MPFR_RNDN); } else { mpfr_set(r16317, r16316, MPFR_RNDN); }; return mpfr_get_d(r16317, MPFR_RNDN); }