#include #include #include #include #include char *name = "NMSE problem 3.3.5"; double f_if(float x, float eps) { float r15015 = x; float r15016 = eps; float r15017 = r15015 + r15016; float r15018 = cos(r15017); float r15019 = cos(r15015); float r15020 = r15018 - r15019; return r15020; } double f_id(double x, double eps) { double r15021 = x; double r15022 = eps; double r15023 = r15021 + r15022; double r15024 = cos(r15023); double r15025 = cos(r15021); double r15026 = r15024 - r15025; return r15026; } double f_of(float x, float eps) { float r15027 = eps; float r15028 = cos(r15027); float r15029 = x; float r15030 = cos(r15029); float r15031 = r15028 * r15030; float r15032 = r15031 * (r15031 * r15031); float r15033 = sin(r15029); float r15034 = sin(r15027); float r15035 = r15033 * r15034; float r15036 = r15030 + r15035; float r15037 = r15036 * (r15036 * r15036); float r15038 = r15032 - r15037; float r15039 = r15030 * r15028; float r15040 = r15039 * r15039; float r15041 = r15035 + r15030; float r15042 = r15041 * r15041; float r15043 = r15039 * r15041; float r15044 = r15042 + r15043; float r15045 = r15040 + r15044; float r15046 = r15038 / r15045; return r15046; } double f_od(double x, double eps) { double r15047 = eps; double r15048 = cos(r15047); double r15049 = x; double r15050 = cos(r15049); double r15051 = r15048 * r15050; double r15052 = r15051 * (r15051 * r15051); double r15053 = sin(r15049); double r15054 = sin(r15047); double r15055 = r15053 * r15054; double r15056 = r15050 + r15055; double r15057 = r15056 * (r15056 * r15056); double r15058 = r15052 - r15057; double r15059 = r15050 * r15048; double r15060 = r15059 * r15059; double r15061 = r15055 + r15050; double r15062 = r15061 * r15061; double r15063 = r15059 * r15061; double r15064 = r15062 + r15063; double r15065 = r15060 + r15064; double r15066 = r15058 / r15065; return r15066; } 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 r15067, r15068, r15069, r15070, r15071, r15072; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r15067); mpfr_init(r15068); mpfr_init(r15069); mpfr_init(r15070); mpfr_init(r15071); mpfr_init(r15072); } double f_im(double x, double eps) { mpfr_set_d(r15067, x, MPFR_RNDN); mpfr_set_d(r15068, eps, MPFR_RNDN); mpfr_add(r15069, r15067, r15068, MPFR_RNDN); mpfr_cos(r15070, r15069, MPFR_RNDN); mpfr_cos(r15071, r15067, MPFR_RNDN); mpfr_sub(r15072, r15070, r15071, MPFR_RNDN); return mpfr_get_d(r15072, MPFR_RNDN); } static mpfr_t r15073, r15074, r15075, r15076, r15077, r15078, r15079, r15080, r15081, r15082, r15083, r15084, r15085, r15086, r15087, r15088, r15089, r15090, r15091, r15092; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r15073); mpfr_init(r15074); mpfr_init(r15075); mpfr_init(r15076); mpfr_init(r15077); mpfr_init(r15078); mpfr_init(r15079); mpfr_init(r15080); mpfr_init(r15081); mpfr_init(r15082); mpfr_init(r15083); mpfr_init(r15084); mpfr_init(r15085); mpfr_init(r15086); mpfr_init(r15087); mpfr_init(r15088); mpfr_init(r15089); mpfr_init(r15090); mpfr_init(r15091); mpfr_init(r15092); } double f_fm(double x, double eps) { mpfr_set_d(r15073, eps, MPFR_RNDN); mpfr_cos(r15074, r15073, MPFR_RNDN); mpfr_set_d(r15075, x, MPFR_RNDN); mpfr_cos(r15076, r15075, MPFR_RNDN); mpfr_mul(r15077, r15074, r15076, MPFR_RNDN); mpfr_mul(r15078, r15077, r15077, MPFR_RNDN); mpfr_mul(r15078, r15078, r15077, MPFR_RNDN); mpfr_sin(r15079, r15075, MPFR_RNDN); mpfr_sin(r15080, r15073, MPFR_RNDN); mpfr_mul(r15081, r15079, r15080, MPFR_RNDN); mpfr_add(r15082, r15076, r15081, MPFR_RNDN); mpfr_mul(r15083, r15082, r15082, MPFR_RNDN); mpfr_mul(r15083, r15083, r15082, MPFR_RNDN); mpfr_sub(r15084, r15078, r15083, MPFR_RNDN); mpfr_mul(r15085, r15076, r15074, MPFR_RNDN); mpfr_sqr(r15086, r15085, MPFR_RNDN); mpfr_add(r15087, r15081, r15076, MPFR_RNDN); mpfr_sqr(r15088, r15087, MPFR_RNDN); mpfr_mul(r15089, r15085, r15087, MPFR_RNDN); mpfr_add(r15090, r15088, r15089, MPFR_RNDN); mpfr_add(r15091, r15086, r15090, MPFR_RNDN); mpfr_div(r15092, r15084, r15091, MPFR_RNDN); return mpfr_get_d(r15092, MPFR_RNDN); } static mpfr_t r15093, r15094, r15095, r15096, r15097, r15098, r15099, r15100, r15101, r15102, r15103, r15104, r15105, r15106, r15107, r15108, r15109, r15110, r15111, r15112; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r15093); mpfr_init(r15094); mpfr_init(r15095); mpfr_init(r15096); mpfr_init(r15097); mpfr_init(r15098); mpfr_init(r15099); mpfr_init(r15100); mpfr_init(r15101); mpfr_init(r15102); mpfr_init(r15103); mpfr_init(r15104); mpfr_init(r15105); mpfr_init(r15106); mpfr_init(r15107); mpfr_init(r15108); mpfr_init(r15109); mpfr_init(r15110); mpfr_init(r15111); mpfr_init(r15112); } double f_dm(double x, double eps) { mpfr_set_d(r15093, eps, MPFR_RNDN); mpfr_cos(r15094, r15093, MPFR_RNDN); mpfr_set_d(r15095, x, MPFR_RNDN); mpfr_cos(r15096, r15095, MPFR_RNDN); mpfr_mul(r15097, r15094, r15096, MPFR_RNDN); mpfr_mul(r15098, r15097, r15097, MPFR_RNDN); mpfr_mul(r15098, r15098, r15097, MPFR_RNDN); mpfr_sin(r15099, r15095, MPFR_RNDN); mpfr_sin(r15100, r15093, MPFR_RNDN); mpfr_mul(r15101, r15099, r15100, MPFR_RNDN); mpfr_add(r15102, r15096, r15101, MPFR_RNDN); mpfr_mul(r15103, r15102, r15102, MPFR_RNDN); mpfr_mul(r15103, r15103, r15102, MPFR_RNDN); mpfr_sub(r15104, r15098, r15103, MPFR_RNDN); mpfr_mul(r15105, r15096, r15094, MPFR_RNDN); mpfr_sqr(r15106, r15105, MPFR_RNDN); mpfr_add(r15107, r15101, r15096, MPFR_RNDN); mpfr_sqr(r15108, r15107, MPFR_RNDN); mpfr_mul(r15109, r15105, r15107, MPFR_RNDN); mpfr_add(r15110, r15108, r15109, MPFR_RNDN); mpfr_add(r15111, r15106, r15110, MPFR_RNDN); mpfr_div(r15112, r15104, r15111, MPFR_RNDN); return mpfr_get_d(r15112, MPFR_RNDN); }