#include #include #include #include #include char *name = "NMSE problem 3.3.2"; double f_if(float x, float eps) { float r16160 = x; float r16161 = eps; float r16162 = r16160 + r16161; float r16163 = tan(r16162); float r16164 = tan(r16160); float r16165 = r16163 - r16164; return r16165; } double f_id(double x, double eps) { double r16166 = x; double r16167 = eps; double r16168 = r16166 + r16167; double r16169 = tan(r16168); double r16170 = tan(r16166); double r16171 = r16169 - r16170; return r16171; } double f_of(float x, float eps) { float r16172 = x; float r16173 = eps; float r16174 = r16172 + r16173; float r16175 = tan(r16174); float r16176 = tan(r16172); float r16177 = r16175 - r16176; float r16178 = -0.01043208409100771f; bool r16179 = r16177 <= r16178; float r16180 = sin(r16172); float r16181 = cos(r16172); float r16182 = r16180 / r16181; float r16183 = r16175 - r16182; float r16184 = 0.004370927810668945f; bool r16185 = r16177 <= r16184; float r16186 = r16173 / r16181; float r16187 = r16181 / r16180; float r16188 = r16180 / r16187; float r16189 = r16173 * r16173; float r16190 = r16189 / r16181; float r16191 = r16180 * r16190; float r16192 = fma(r16186, r16188, r16191); float r16193 = r16181 * (r16181 * r16181); float r16194 = r16189 / r16193; float r16195 = r16180 * (r16180 * r16180); float r16196 = 0.3333333432674408f; float r16197 = r16173 * (r16173 * r16173); float r16198 = r16196 * r16197; float r16199 = fma(r16194, r16195, r16198); float r16200 = r16192 + r16199; float r16201 = 4.0f; float r16202 = pow(r16181, r16201); float r16203 = r16197 / r16202; float r16204 = pow(r16180, r16201); float r16205 = 1.3333333730697632f; float r16206 = r16205 / r16181; float r16207 = r16180 * r16180; float r16208 = r16181 / r16197; float r16209 = r16207 / r16208; float r16210 = fma(r16206, r16209, r16173); float r16211 = fma(r16203, r16204, r16210); float r16212 = r16200 + r16211; float r16213 = r16185 ? r16212 : r16183; float r16214 = r16179 ? r16183 : r16213; return r16214; } double f_od(double x, double eps) { double r16215 = x; double r16216 = eps; double r16217 = r16215 + r16216; double r16218 = tan(r16217); double r16219 = tan(r16215); double r16220 = r16218 - r16219; double r16221 = -0.01043208409100771; bool r16222 = r16220 <= r16221; double r16223 = sin(r16215); double r16224 = cos(r16215); double r16225 = r16223 / r16224; double r16226 = r16218 - r16225; double r16227 = 0.004370927810668945; bool r16228 = r16220 <= r16227; double r16229 = r16216 / r16224; double r16230 = r16224 / r16223; double r16231 = r16223 / r16230; double r16232 = r16216 * r16216; double r16233 = r16232 / r16224; double r16234 = r16223 * r16233; double r16235 = fma(r16229, r16231, r16234); double r16236 = r16224 * (r16224 * r16224); double r16237 = r16232 / r16236; double r16238 = r16223 * (r16223 * r16223); double r16239 = 0.3333333432674408; double r16240 = r16216 * (r16216 * r16216); double r16241 = r16239 * r16240; double r16242 = fma(r16237, r16238, r16241); double r16243 = r16235 + r16242; double r16244 = 4.0; double r16245 = pow(r16224, r16244); double r16246 = r16240 / r16245; double r16247 = pow(r16223, r16244); double r16248 = 1.3333333730697632; double r16249 = r16248 / r16224; double r16250 = r16223 * r16223; double r16251 = r16224 / r16240; double r16252 = r16250 / r16251; double r16253 = fma(r16249, r16252, r16216); double r16254 = fma(r16246, r16247, r16253); double r16255 = r16243 + r16254; double r16256 = r16228 ? r16255 : r16226; double r16257 = r16222 ? r16226 : r16256; return r16257; } 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 r16258, r16259, r16260, r16261, r16262, r16263; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16258); mpfr_init(r16259); mpfr_init(r16260); mpfr_init(r16261); mpfr_init(r16262); mpfr_init(r16263); } double f_im(double x, double eps) { mpfr_set_d(r16258, x, MPFR_RNDN); mpfr_set_d(r16259, eps, MPFR_RNDN); mpfr_add(r16260, r16258, r16259, MPFR_RNDN); mpfr_tan(r16261, r16260, MPFR_RNDN); mpfr_tan(r16262, r16258, MPFR_RNDN); mpfr_sub(r16263, r16261, r16262, MPFR_RNDN); return mpfr_get_d(r16263, MPFR_RNDN); } static mpfr_t r16264, r16265, r16266, r16267, r16268, r16269, r16270, r16271, 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; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16264); mpfr_init(r16265); mpfr_init(r16266); mpfr_init(r16267); mpfr_init(r16268); mpfr_init(r16269); mpfr_init_set_str(r16270, "-0.010432084f0", 10, MPFR_RNDN); mpfr_init(r16271); mpfr_init(r16272); mpfr_init(r16273); mpfr_init(r16274); mpfr_init(r16275); mpfr_init_set_str(r16276, "0.004370928f0", 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); mpfr_init(r16286); mpfr_init(r16287); mpfr_init_set_str(r16288, "1/3", 10, MPFR_RNDN); mpfr_init(r16289); mpfr_init(r16290); mpfr_init(r16291); mpfr_init(r16292); mpfr_init_set_str(r16293, "4", 10, MPFR_RNDN); mpfr_init(r16294); mpfr_init(r16295); mpfr_init(r16296); mpfr_init_set_str(r16297, "4/3", 10, MPFR_RNDN); mpfr_init(r16298); mpfr_init(r16299); mpfr_init(r16300); mpfr_init(r16301); mpfr_init(r16302); mpfr_init(r16303); mpfr_init(r16304); mpfr_init(r16305); mpfr_init(r16306); } double f_fm(double x, double eps) { mpfr_set_d(r16264, x, MPFR_RNDN); mpfr_set_d(r16265, eps, MPFR_RNDN); mpfr_add(r16266, r16264, r16265, MPFR_RNDN); mpfr_tan(r16267, r16266, MPFR_RNDN); mpfr_tan(r16268, r16264, MPFR_RNDN); mpfr_sub(r16269, r16267, r16268, MPFR_RNDN); ; mpfr_set_si(r16271, mpfr_cmp(r16269, r16270) <= 0, MPFR_RNDN); mpfr_sin(r16272, r16264, MPFR_RNDN); mpfr_cos(r16273, r16264, MPFR_RNDN); mpfr_div(r16274, r16272, r16273, MPFR_RNDN); mpfr_sub(r16275, r16267, r16274, MPFR_RNDN); ; mpfr_set_si(r16277, mpfr_cmp(r16269, r16276) <= 0, MPFR_RNDN); mpfr_div(r16278, r16265, r16273, MPFR_RNDN); mpfr_div(r16279, r16273, r16272, MPFR_RNDN); mpfr_div(r16280, r16272, r16279, MPFR_RNDN); mpfr_sqr(r16281, r16265, MPFR_RNDN); mpfr_div(r16282, r16281, r16273, MPFR_RNDN); mpfr_mul(r16283, r16272, r16282, MPFR_RNDN); mpfr_fma(r16284, r16278, r16280, r16283, MPFR_RNDN); mpfr_mul(r16285, r16273, r16273, MPFR_RNDN); mpfr_mul(r16285, r16285, r16273, MPFR_RNDN); mpfr_div(r16286, r16281, r16285, MPFR_RNDN); mpfr_mul(r16287, r16272, r16272, MPFR_RNDN); mpfr_mul(r16287, r16287, r16272, MPFR_RNDN); ; mpfr_mul(r16289, r16265, r16265, MPFR_RNDN); mpfr_mul(r16289, r16289, r16265, MPFR_RNDN); mpfr_mul(r16290, r16288, r16289, MPFR_RNDN); mpfr_fma(r16291, r16286, r16287, r16290, MPFR_RNDN); mpfr_add(r16292, r16284, r16291, MPFR_RNDN); ; mpfr_pow(r16294, r16273, r16293, MPFR_RNDN); mpfr_div(r16295, r16289, r16294, MPFR_RNDN); mpfr_pow(r16296, r16272, r16293, MPFR_RNDN); ; mpfr_div(r16298, r16297, r16273, MPFR_RNDN); mpfr_mul(r16299, r16272, r16272, MPFR_RNDN); mpfr_div(r16300, r16273, r16289, MPFR_RNDN); mpfr_div(r16301, r16299, r16300, MPFR_RNDN); mpfr_fma(r16302, r16298, r16301, r16265, MPFR_RNDN); mpfr_fma(r16303, r16295, r16296, r16302, MPFR_RNDN); mpfr_add(r16304, r16292, r16303, MPFR_RNDN); if (mpfr_get_si(r16277, MPFR_RNDN)) { mpfr_set(r16305, r16304, MPFR_RNDN); } else { mpfr_set(r16305, r16275, MPFR_RNDN); }; if (mpfr_get_si(r16271, MPFR_RNDN)) { mpfr_set(r16306, r16275, MPFR_RNDN); } else { mpfr_set(r16306, r16305, MPFR_RNDN); }; return mpfr_get_d(r16306, MPFR_RNDN); } static mpfr_t r16307, r16308, r16309, r16310, r16311, r16312, r16313, r16314, r16315, r16316, r16317, r16318, r16319, r16320, r16321, r16322, r16323, r16324, r16325, r16326, r16327, r16328, r16329, r16330, r16331, r16332, r16333, r16334, r16335, r16336, r16337, r16338, r16339, r16340, r16341, r16342, r16343, r16344, r16345, r16346, r16347, r16348, r16349; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16307); mpfr_init(r16308); mpfr_init(r16309); mpfr_init(r16310); mpfr_init(r16311); mpfr_init(r16312); mpfr_init_set_str(r16313, "-0.010432084f0", 10, MPFR_RNDN); mpfr_init(r16314); mpfr_init(r16315); mpfr_init(r16316); mpfr_init(r16317); mpfr_init(r16318); mpfr_init_set_str(r16319, "0.004370928f0", 10, MPFR_RNDN); mpfr_init(r16320); mpfr_init(r16321); mpfr_init(r16322); mpfr_init(r16323); mpfr_init(r16324); mpfr_init(r16325); mpfr_init(r16326); mpfr_init(r16327); mpfr_init(r16328); mpfr_init(r16329); mpfr_init(r16330); mpfr_init_set_str(r16331, "1/3", 10, MPFR_RNDN); mpfr_init(r16332); mpfr_init(r16333); mpfr_init(r16334); mpfr_init(r16335); mpfr_init_set_str(r16336, "4", 10, MPFR_RNDN); mpfr_init(r16337); mpfr_init(r16338); mpfr_init(r16339); mpfr_init_set_str(r16340, "4/3", 10, MPFR_RNDN); mpfr_init(r16341); mpfr_init(r16342); mpfr_init(r16343); mpfr_init(r16344); mpfr_init(r16345); mpfr_init(r16346); mpfr_init(r16347); mpfr_init(r16348); mpfr_init(r16349); } double f_dm(double x, double eps) { mpfr_set_d(r16307, x, MPFR_RNDN); mpfr_set_d(r16308, eps, MPFR_RNDN); mpfr_add(r16309, r16307, r16308, MPFR_RNDN); mpfr_tan(r16310, r16309, MPFR_RNDN); mpfr_tan(r16311, r16307, MPFR_RNDN); mpfr_sub(r16312, r16310, r16311, MPFR_RNDN); ; mpfr_set_si(r16314, mpfr_cmp(r16312, r16313) <= 0, MPFR_RNDN); mpfr_sin(r16315, r16307, MPFR_RNDN); mpfr_cos(r16316, r16307, MPFR_RNDN); mpfr_div(r16317, r16315, r16316, MPFR_RNDN); mpfr_sub(r16318, r16310, r16317, MPFR_RNDN); ; mpfr_set_si(r16320, mpfr_cmp(r16312, r16319) <= 0, MPFR_RNDN); mpfr_div(r16321, r16308, r16316, MPFR_RNDN); mpfr_div(r16322, r16316, r16315, MPFR_RNDN); mpfr_div(r16323, r16315, r16322, MPFR_RNDN); mpfr_sqr(r16324, r16308, MPFR_RNDN); mpfr_div(r16325, r16324, r16316, MPFR_RNDN); mpfr_mul(r16326, r16315, r16325, MPFR_RNDN); mpfr_fma(r16327, r16321, r16323, r16326, MPFR_RNDN); mpfr_mul(r16328, r16316, r16316, MPFR_RNDN); mpfr_mul(r16328, r16328, r16316, MPFR_RNDN); mpfr_div(r16329, r16324, r16328, MPFR_RNDN); mpfr_mul(r16330, r16315, r16315, MPFR_RNDN); mpfr_mul(r16330, r16330, r16315, MPFR_RNDN); ; mpfr_mul(r16332, r16308, r16308, MPFR_RNDN); mpfr_mul(r16332, r16332, r16308, MPFR_RNDN); mpfr_mul(r16333, r16331, r16332, MPFR_RNDN); mpfr_fma(r16334, r16329, r16330, r16333, MPFR_RNDN); mpfr_add(r16335, r16327, r16334, MPFR_RNDN); ; mpfr_pow(r16337, r16316, r16336, MPFR_RNDN); mpfr_div(r16338, r16332, r16337, MPFR_RNDN); mpfr_pow(r16339, r16315, r16336, MPFR_RNDN); ; mpfr_div(r16341, r16340, r16316, MPFR_RNDN); mpfr_mul(r16342, r16315, r16315, MPFR_RNDN); mpfr_div(r16343, r16316, r16332, MPFR_RNDN); mpfr_div(r16344, r16342, r16343, MPFR_RNDN); mpfr_fma(r16345, r16341, r16344, r16308, MPFR_RNDN); mpfr_fma(r16346, r16338, r16339, r16345, MPFR_RNDN); mpfr_add(r16347, r16335, r16346, MPFR_RNDN); if (mpfr_get_si(r16320, MPFR_RNDN)) { mpfr_set(r16348, r16347, MPFR_RNDN); } else { mpfr_set(r16348, r16318, MPFR_RNDN); }; if (mpfr_get_si(r16314, MPFR_RNDN)) { mpfr_set(r16349, r16318, MPFR_RNDN); } else { mpfr_set(r16349, r16348, MPFR_RNDN); }; return mpfr_get_d(r16349, MPFR_RNDN); }