#include #include #include #include #include char *name = "NMSE problem 3.3.5"; double f_if(float x, float eps) { float r15059 = x; float r15060 = eps; float r15061 = r15059 + r15060; float r15062 = cos(r15061); float r15063 = cos(r15059); float r15064 = r15062 - r15063; return r15064; } double f_id(double x, double eps) { double r15065 = x; double r15066 = eps; double r15067 = r15065 + r15066; double r15068 = cos(r15067); double r15069 = cos(r15065); double r15070 = r15068 - r15069; return r15070; } double f_of(float x, float eps) { float r15071 = eps; float r15072 = -2.4746510128749325e-15f; bool r15073 = r15071 <= r15072; float r15074 = x; float r15075 = cos(r15074); float r15076 = cos(r15071); float r15077 = r15075 * r15076; float r15078 = sin(r15074); float r15079 = sin(r15071); float r15080 = r15078 * r15079; float r15081 = r15077 - r15080; float r15082 = r15081 * r15081; float r15083 = r15082 * r15082; float r15084 = r15075 * r15075; float r15085 = r15084 * r15084; float r15086 = r15083 - r15085; float r15087 = r15082 + r15084; float r15088 = r15086 / r15087; float r15089 = fma(r15076, r15075, r15075); float r15090 = r15079 * r15078; float r15091 = r15089 - r15090; float r15092 = r15088 / r15091; float r15093 = 2.119510261744395e-10f; bool r15094 = r15071 <= r15093; float r15095 = 0.1666666716337204f; float r15096 = r15071 * r15095; float r15097 = r15074 * (r15074 * r15074); float r15098 = r15096 * r15097; float r15099 = 0.5f; float r15100 = fma(r15099, r15071, r15074); float r15101 = r15071 * r15100; float r15102 = r15098 - r15101; float r15103 = r15076 * r15075; float r15104 = r15103 - r15090; float r15105 = r15104 * (r15104 * r15104); float r15106 = r15075 * (r15075 * r15075); float r15107 = r15105 - r15106; float r15108 = r15075 * r15075; float r15109 = fma(r15104, r15091, r15108); float r15110 = r15107 / r15109; float r15111 = r15094 ? r15102 : r15110; float r15112 = r15073 ? r15092 : r15111; return r15112; } double f_od(double x, double eps) { double r15113 = eps; double r15114 = -2.4746510128749325e-15; bool r15115 = r15113 <= r15114; double r15116 = x; double r15117 = cos(r15116); double r15118 = cos(r15113); double r15119 = r15117 * r15118; double r15120 = sin(r15116); double r15121 = sin(r15113); double r15122 = r15120 * r15121; double r15123 = r15119 - r15122; double r15124 = r15123 * r15123; double r15125 = r15124 * r15124; double r15126 = r15117 * r15117; double r15127 = r15126 * r15126; double r15128 = r15125 - r15127; double r15129 = r15124 + r15126; double r15130 = r15128 / r15129; double r15131 = fma(r15118, r15117, r15117); double r15132 = r15121 * r15120; double r15133 = r15131 - r15132; double r15134 = r15130 / r15133; double r15135 = 2.119510261744395e-10; bool r15136 = r15113 <= r15135; double r15137 = 0.1666666716337204; double r15138 = r15113 * r15137; double r15139 = r15116 * (r15116 * r15116); double r15140 = r15138 * r15139; double r15141 = 0.5; double r15142 = fma(r15141, r15113, r15116); double r15143 = r15113 * r15142; double r15144 = r15140 - r15143; double r15145 = r15118 * r15117; double r15146 = r15145 - r15132; double r15147 = r15146 * (r15146 * r15146); double r15148 = r15117 * (r15117 * r15117); double r15149 = r15147 - r15148; double r15150 = r15117 * r15117; double r15151 = fma(r15146, r15133, r15150); double r15152 = r15149 / r15151; double r15153 = r15136 ? r15144 : r15152; double r15154 = r15115 ? r15134 : r15153; return r15154; } 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 r15155, r15156, r15157, r15158, r15159, r15160; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r15155); mpfr_init(r15156); mpfr_init(r15157); mpfr_init(r15158); mpfr_init(r15159); mpfr_init(r15160); } double f_im(double x, double eps) { mpfr_set_d(r15155, x, MPFR_RNDN); mpfr_set_d(r15156, eps, MPFR_RNDN); mpfr_add(r15157, r15155, r15156, MPFR_RNDN); mpfr_cos(r15158, r15157, MPFR_RNDN); mpfr_cos(r15159, r15155, MPFR_RNDN); mpfr_sub(r15160, r15158, r15159, MPFR_RNDN); return mpfr_get_d(r15160, MPFR_RNDN); } static mpfr_t r15161, r15162, r15163, r15164, r15165, r15166, r15167, r15168, r15169, r15170, r15171, r15172, r15173, r15174, r15175, r15176, r15177, r15178, r15179, r15180, r15181, r15182, r15183, r15184, r15185, r15186, r15187, r15188, r15189, r15190, r15191, r15192, r15193, r15194, r15195, r15196, r15197, r15198, r15199, r15200, r15201, r15202; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r15161); mpfr_init_set_str(r15162, "-2.474651f-15", 10, MPFR_RNDN); mpfr_init(r15163); mpfr_init(r15164); mpfr_init(r15165); mpfr_init(r15166); mpfr_init(r15167); mpfr_init(r15168); mpfr_init(r15169); mpfr_init(r15170); mpfr_init(r15171); mpfr_init(r15172); mpfr_init(r15173); mpfr_init(r15174); mpfr_init(r15175); mpfr_init(r15176); mpfr_init(r15177); mpfr_init(r15178); mpfr_init(r15179); mpfr_init(r15180); mpfr_init(r15181); mpfr_init(r15182); mpfr_init_set_str(r15183, "2.1195103f-10", 10, MPFR_RNDN); mpfr_init(r15184); mpfr_init_set_str(r15185, "1/6", 10, MPFR_RNDN); mpfr_init(r15186); mpfr_init(r15187); mpfr_init(r15188); mpfr_init_set_str(r15189, "1/2", 10, MPFR_RNDN); mpfr_init(r15190); mpfr_init(r15191); mpfr_init(r15192); mpfr_init(r15193); mpfr_init(r15194); mpfr_init(r15195); mpfr_init(r15196); mpfr_init(r15197); mpfr_init(r15198); mpfr_init(r15199); mpfr_init(r15200); mpfr_init(r15201); mpfr_init(r15202); } double f_fm(double x, double eps) { mpfr_set_d(r15161, eps, MPFR_RNDN); ; mpfr_set_si(r15163, mpfr_cmp(r15161, r15162) <= 0, MPFR_RNDN); mpfr_set_d(r15164, x, MPFR_RNDN); mpfr_cos(r15165, r15164, MPFR_RNDN); mpfr_cos(r15166, r15161, MPFR_RNDN); mpfr_mul(r15167, r15165, r15166, MPFR_RNDN); mpfr_sin(r15168, r15164, MPFR_RNDN); mpfr_sin(r15169, r15161, MPFR_RNDN); mpfr_mul(r15170, r15168, r15169, MPFR_RNDN); mpfr_sub(r15171, r15167, r15170, MPFR_RNDN); mpfr_sqr(r15172, r15171, MPFR_RNDN); mpfr_sqr(r15173, r15172, MPFR_RNDN); mpfr_sqr(r15174, r15165, MPFR_RNDN); mpfr_sqr(r15175, r15174, MPFR_RNDN); mpfr_sub(r15176, r15173, r15175, MPFR_RNDN); mpfr_add(r15177, r15172, r15174, MPFR_RNDN); mpfr_div(r15178, r15176, r15177, MPFR_RNDN); mpfr_fma(r15179, r15166, r15165, r15165, MPFR_RNDN); mpfr_mul(r15180, r15169, r15168, MPFR_RNDN); mpfr_sub(r15181, r15179, r15180, MPFR_RNDN); mpfr_div(r15182, r15178, r15181, MPFR_RNDN); ; mpfr_set_si(r15184, mpfr_cmp(r15161, r15183) <= 0, MPFR_RNDN); ; mpfr_mul(r15186, r15161, r15185, MPFR_RNDN); mpfr_mul(r15187, r15164, r15164, MPFR_RNDN); mpfr_mul(r15187, r15187, r15164, MPFR_RNDN); mpfr_mul(r15188, r15186, r15187, MPFR_RNDN); ; mpfr_fma(r15190, r15189, r15161, r15164, MPFR_RNDN); mpfr_mul(r15191, r15161, r15190, MPFR_RNDN); mpfr_sub(r15192, r15188, r15191, MPFR_RNDN); mpfr_mul(r15193, r15166, r15165, MPFR_RNDN); mpfr_sub(r15194, r15193, r15180, MPFR_RNDN); mpfr_mul(r15195, r15194, r15194, MPFR_RNDN); mpfr_mul(r15195, r15195, r15194, MPFR_RNDN); mpfr_mul(r15196, r15165, r15165, MPFR_RNDN); mpfr_mul(r15196, r15196, r15165, MPFR_RNDN); mpfr_sub(r15197, r15195, r15196, MPFR_RNDN); mpfr_mul(r15198, r15165, r15165, MPFR_RNDN); mpfr_fma(r15199, r15194, r15181, r15198, MPFR_RNDN); mpfr_div(r15200, r15197, r15199, MPFR_RNDN); if (mpfr_get_si(r15184, MPFR_RNDN)) { mpfr_set(r15201, r15192, MPFR_RNDN); } else { mpfr_set(r15201, r15200, MPFR_RNDN); }; if (mpfr_get_si(r15163, MPFR_RNDN)) { mpfr_set(r15202, r15182, MPFR_RNDN); } else { mpfr_set(r15202, r15201, MPFR_RNDN); }; return mpfr_get_d(r15202, MPFR_RNDN); } static mpfr_t r15203, r15204, r15205, r15206, r15207, r15208, r15209, r15210, r15211, r15212, r15213, r15214, r15215, r15216, r15217, r15218, r15219, r15220, r15221, r15222, r15223, r15224, r15225, r15226, r15227, r15228, r15229, r15230, r15231, r15232, r15233, r15234, r15235, r15236, r15237, r15238, r15239, r15240, r15241, r15242, r15243, r15244; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r15203); mpfr_init_set_str(r15204, "-2.474651f-15", 10, MPFR_RNDN); mpfr_init(r15205); mpfr_init(r15206); mpfr_init(r15207); mpfr_init(r15208); mpfr_init(r15209); mpfr_init(r15210); mpfr_init(r15211); mpfr_init(r15212); mpfr_init(r15213); mpfr_init(r15214); mpfr_init(r15215); mpfr_init(r15216); mpfr_init(r15217); mpfr_init(r15218); mpfr_init(r15219); mpfr_init(r15220); mpfr_init(r15221); mpfr_init(r15222); mpfr_init(r15223); mpfr_init(r15224); mpfr_init_set_str(r15225, "2.1195103f-10", 10, MPFR_RNDN); mpfr_init(r15226); mpfr_init_set_str(r15227, "1/6", 10, MPFR_RNDN); mpfr_init(r15228); mpfr_init(r15229); mpfr_init(r15230); mpfr_init_set_str(r15231, "1/2", 10, MPFR_RNDN); mpfr_init(r15232); mpfr_init(r15233); mpfr_init(r15234); mpfr_init(r15235); mpfr_init(r15236); mpfr_init(r15237); mpfr_init(r15238); mpfr_init(r15239); mpfr_init(r15240); mpfr_init(r15241); mpfr_init(r15242); mpfr_init(r15243); mpfr_init(r15244); } double f_dm(double x, double eps) { mpfr_set_d(r15203, eps, MPFR_RNDN); ; mpfr_set_si(r15205, mpfr_cmp(r15203, r15204) <= 0, MPFR_RNDN); mpfr_set_d(r15206, x, MPFR_RNDN); mpfr_cos(r15207, r15206, MPFR_RNDN); mpfr_cos(r15208, r15203, MPFR_RNDN); mpfr_mul(r15209, r15207, r15208, MPFR_RNDN); mpfr_sin(r15210, r15206, MPFR_RNDN); mpfr_sin(r15211, r15203, MPFR_RNDN); mpfr_mul(r15212, r15210, r15211, MPFR_RNDN); mpfr_sub(r15213, r15209, r15212, MPFR_RNDN); mpfr_sqr(r15214, r15213, MPFR_RNDN); mpfr_sqr(r15215, r15214, MPFR_RNDN); mpfr_sqr(r15216, r15207, MPFR_RNDN); mpfr_sqr(r15217, r15216, MPFR_RNDN); mpfr_sub(r15218, r15215, r15217, MPFR_RNDN); mpfr_add(r15219, r15214, r15216, MPFR_RNDN); mpfr_div(r15220, r15218, r15219, MPFR_RNDN); mpfr_fma(r15221, r15208, r15207, r15207, MPFR_RNDN); mpfr_mul(r15222, r15211, r15210, MPFR_RNDN); mpfr_sub(r15223, r15221, r15222, MPFR_RNDN); mpfr_div(r15224, r15220, r15223, MPFR_RNDN); ; mpfr_set_si(r15226, mpfr_cmp(r15203, r15225) <= 0, MPFR_RNDN); ; mpfr_mul(r15228, r15203, r15227, MPFR_RNDN); mpfr_mul(r15229, r15206, r15206, MPFR_RNDN); mpfr_mul(r15229, r15229, r15206, MPFR_RNDN); mpfr_mul(r15230, r15228, r15229, MPFR_RNDN); ; mpfr_fma(r15232, r15231, r15203, r15206, MPFR_RNDN); mpfr_mul(r15233, r15203, r15232, MPFR_RNDN); mpfr_sub(r15234, r15230, r15233, MPFR_RNDN); mpfr_mul(r15235, r15208, r15207, MPFR_RNDN); mpfr_sub(r15236, r15235, r15222, MPFR_RNDN); mpfr_mul(r15237, r15236, r15236, MPFR_RNDN); mpfr_mul(r15237, r15237, r15236, MPFR_RNDN); mpfr_mul(r15238, r15207, r15207, MPFR_RNDN); mpfr_mul(r15238, r15238, r15207, MPFR_RNDN); mpfr_sub(r15239, r15237, r15238, MPFR_RNDN); mpfr_mul(r15240, r15207, r15207, MPFR_RNDN); mpfr_fma(r15241, r15236, r15223, r15240, MPFR_RNDN); mpfr_div(r15242, r15239, r15241, MPFR_RNDN); if (mpfr_get_si(r15226, MPFR_RNDN)) { mpfr_set(r15243, r15234, MPFR_RNDN); } else { mpfr_set(r15243, r15242, MPFR_RNDN); }; if (mpfr_get_si(r15205, MPFR_RNDN)) { mpfr_set(r15244, r15224, MPFR_RNDN); } else { mpfr_set(r15244, r15243, MPFR_RNDN); }; return mpfr_get_d(r15244, MPFR_RNDN); }