#include #include #include #include #include char *name = "NMSE problem 3.3.5"; double f_if(float x, float eps) { float r14987 = x; float r14988 = eps; float r14989 = r14987 + r14988; float r14990 = cos(r14989); float r14991 = cos(r14987); float r14992 = r14990 - r14991; return r14992; } double f_id(double x, double eps) { double r14993 = x; double r14994 = eps; double r14995 = r14993 + r14994; double r14996 = cos(r14995); double r14997 = cos(r14993); double r14998 = r14996 - r14997; return r14998; } double f_of(float x, float eps) { float r14999 = x; float r15000 = cos(r14999); float r15001 = eps; float r15002 = cos(r15001); float r15003 = r15000 * r15002; float r15004 = sin(r14999); float r15005 = sin(r15001); float r15006 = r15004 * r15005; float r15007 = r15003 - r15006; float r15008 = r15007 * (r15007 * r15007); float r15009 = r15008 * (r15008 * r15008); float r15010 = r15000 * (r15000 * r15000); float r15011 = r15010 * (r15010 * r15010); float r15012 = r15009 - r15011; float r15013 = r15002 * r15000; float r15014 = r15005 * r15004; float r15015 = r15013 - r15014; float r15016 = r15015 * (r15015 * r15015); float r15017 = r15016 * r15016; float r15018 = r15010 * r15010; float r15019 = r15016 * r15010; float r15020 = r15018 + r15019; float r15021 = r15017 + r15020; float r15022 = r15012 / r15021; float r15023 = fma(r15002, r15000, r15000); float r15024 = r15023 - r15014; float r15025 = r15000 * r15000; float r15026 = fma(r15015, r15024, r15025); float r15027 = r15022 / r15026; return r15027; } double f_od(double x, double eps) { double r15028 = x; double r15029 = cos(r15028); double r15030 = eps; double r15031 = cos(r15030); double r15032 = r15029 * r15031; double r15033 = sin(r15028); double r15034 = sin(r15030); double r15035 = r15033 * r15034; double r15036 = r15032 - r15035; double r15037 = r15036 * (r15036 * r15036); double r15038 = r15037 * (r15037 * r15037); double r15039 = r15029 * (r15029 * r15029); double r15040 = r15039 * (r15039 * r15039); double r15041 = r15038 - r15040; double r15042 = r15031 * r15029; double r15043 = r15034 * r15033; double r15044 = r15042 - r15043; double r15045 = r15044 * (r15044 * r15044); double r15046 = r15045 * r15045; double r15047 = r15039 * r15039; double r15048 = r15045 * r15039; double r15049 = r15047 + r15048; double r15050 = r15046 + r15049; double r15051 = r15041 / r15050; double r15052 = fma(r15031, r15029, r15029); double r15053 = r15052 - r15043; double r15054 = r15029 * r15029; double r15055 = fma(r15044, r15053, r15054); double r15056 = r15051 / r15055; return r15056; } 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 r15057, r15058, r15059, r15060, r15061, r15062; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r15057); mpfr_init(r15058); mpfr_init(r15059); mpfr_init(r15060); mpfr_init(r15061); mpfr_init(r15062); } double f_im(double x, double eps) { mpfr_set_d(r15057, x, MPFR_RNDN); mpfr_set_d(r15058, eps, MPFR_RNDN); mpfr_add(r15059, r15057, r15058, MPFR_RNDN); mpfr_cos(r15060, r15059, MPFR_RNDN); mpfr_cos(r15061, r15057, MPFR_RNDN); mpfr_sub(r15062, r15060, r15061, MPFR_RNDN); return mpfr_get_d(r15062, MPFR_RNDN); } static mpfr_t r15063, r15064, r15065, r15066, r15067, r15068, r15069, r15070, r15071, r15072, r15073, r15074, r15075, r15076, r15077, r15078, r15079, r15080, r15081, r15082, r15083, r15084, r15085, r15086, r15087, r15088, r15089, r15090, r15091; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r15063); mpfr_init(r15064); mpfr_init(r15065); mpfr_init(r15066); mpfr_init(r15067); mpfr_init(r15068); mpfr_init(r15069); mpfr_init(r15070); mpfr_init(r15071); mpfr_init(r15072); 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); } double f_fm(double x, double eps) { mpfr_set_d(r15063, x, MPFR_RNDN); mpfr_cos(r15064, r15063, MPFR_RNDN); mpfr_set_d(r15065, eps, MPFR_RNDN); mpfr_cos(r15066, r15065, MPFR_RNDN); mpfr_mul(r15067, r15064, r15066, MPFR_RNDN); mpfr_sin(r15068, r15063, MPFR_RNDN); mpfr_sin(r15069, r15065, MPFR_RNDN); mpfr_mul(r15070, r15068, r15069, MPFR_RNDN); mpfr_sub(r15071, r15067, r15070, MPFR_RNDN); mpfr_mul(r15072, r15071, r15071, MPFR_RNDN); mpfr_mul(r15072, r15072, r15071, MPFR_RNDN); mpfr_mul(r15073, r15072, r15072, MPFR_RNDN); mpfr_mul(r15073, r15073, r15072, MPFR_RNDN); mpfr_mul(r15074, r15064, r15064, MPFR_RNDN); mpfr_mul(r15074, r15074, r15064, MPFR_RNDN); mpfr_mul(r15075, r15074, r15074, MPFR_RNDN); mpfr_mul(r15075, r15075, r15074, MPFR_RNDN); mpfr_sub(r15076, r15073, r15075, MPFR_RNDN); mpfr_mul(r15077, r15066, r15064, MPFR_RNDN); mpfr_mul(r15078, r15069, r15068, MPFR_RNDN); mpfr_sub(r15079, r15077, r15078, MPFR_RNDN); mpfr_mul(r15080, r15079, r15079, MPFR_RNDN); mpfr_mul(r15080, r15080, r15079, MPFR_RNDN); mpfr_sqr(r15081, r15080, MPFR_RNDN); mpfr_sqr(r15082, r15074, MPFR_RNDN); mpfr_mul(r15083, r15080, r15074, MPFR_RNDN); mpfr_add(r15084, r15082, r15083, MPFR_RNDN); mpfr_add(r15085, r15081, r15084, MPFR_RNDN); mpfr_div(r15086, r15076, r15085, MPFR_RNDN); mpfr_fma(r15087, r15066, r15064, r15064, MPFR_RNDN); mpfr_sub(r15088, r15087, r15078, MPFR_RNDN); mpfr_mul(r15089, r15064, r15064, MPFR_RNDN); mpfr_fma(r15090, r15079, r15088, r15089, MPFR_RNDN); mpfr_div(r15091, r15086, r15090, MPFR_RNDN); return mpfr_get_d(r15091, MPFR_RNDN); } static mpfr_t r15092, r15093, r15094, r15095, r15096, r15097, r15098, r15099, r15100, r15101, r15102, r15103, r15104, r15105, r15106, r15107, r15108, r15109, r15110, r15111, r15112, r15113, r15114, r15115, r15116, r15117, r15118, r15119, r15120; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r15092); 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); mpfr_init(r15113); mpfr_init(r15114); mpfr_init(r15115); mpfr_init(r15116); mpfr_init(r15117); mpfr_init(r15118); mpfr_init(r15119); mpfr_init(r15120); } double f_dm(double x, double eps) { mpfr_set_d(r15092, x, MPFR_RNDN); mpfr_cos(r15093, r15092, MPFR_RNDN); mpfr_set_d(r15094, eps, MPFR_RNDN); mpfr_cos(r15095, r15094, MPFR_RNDN); mpfr_mul(r15096, r15093, r15095, MPFR_RNDN); mpfr_sin(r15097, r15092, MPFR_RNDN); mpfr_sin(r15098, r15094, MPFR_RNDN); mpfr_mul(r15099, r15097, r15098, MPFR_RNDN); mpfr_sub(r15100, r15096, r15099, MPFR_RNDN); mpfr_mul(r15101, r15100, r15100, MPFR_RNDN); mpfr_mul(r15101, r15101, r15100, MPFR_RNDN); mpfr_mul(r15102, r15101, r15101, MPFR_RNDN); mpfr_mul(r15102, r15102, r15101, MPFR_RNDN); mpfr_mul(r15103, r15093, r15093, MPFR_RNDN); mpfr_mul(r15103, r15103, r15093, MPFR_RNDN); mpfr_mul(r15104, r15103, r15103, MPFR_RNDN); mpfr_mul(r15104, r15104, r15103, MPFR_RNDN); mpfr_sub(r15105, r15102, r15104, MPFR_RNDN); mpfr_mul(r15106, r15095, r15093, MPFR_RNDN); mpfr_mul(r15107, r15098, r15097, MPFR_RNDN); mpfr_sub(r15108, r15106, r15107, MPFR_RNDN); mpfr_mul(r15109, r15108, r15108, MPFR_RNDN); mpfr_mul(r15109, r15109, r15108, MPFR_RNDN); mpfr_sqr(r15110, r15109, MPFR_RNDN); mpfr_sqr(r15111, r15103, MPFR_RNDN); mpfr_mul(r15112, r15109, r15103, MPFR_RNDN); mpfr_add(r15113, r15111, r15112, MPFR_RNDN); mpfr_add(r15114, r15110, r15113, MPFR_RNDN); mpfr_div(r15115, r15105, r15114, MPFR_RNDN); mpfr_fma(r15116, r15095, r15093, r15093, MPFR_RNDN); mpfr_sub(r15117, r15116, r15107, MPFR_RNDN); mpfr_mul(r15118, r15093, r15093, MPFR_RNDN); mpfr_fma(r15119, r15108, r15117, r15118, MPFR_RNDN); mpfr_div(r15120, r15115, r15119, MPFR_RNDN); return mpfr_get_d(r15120, MPFR_RNDN); }