#include #include #include #include #include char *name = "NMSE example 3.3"; double f_if(float x, float eps) { float r17040 = x; float r17041 = eps; float r17042 = r17040 + r17041; float r17043 = sin(r17042); float r17044 = sin(r17040); float r17045 = r17043 - r17044; return r17045; } double f_id(double x, double eps) { double r17046 = x; double r17047 = eps; double r17048 = r17046 + r17047; double r17049 = sin(r17048); double r17050 = sin(r17046); double r17051 = r17049 - r17050; return r17051; } double f_of(float x, float eps) { float r17052 = eps; float r17053 = -0.0003071341780014336f; bool r17054 = r17052 <= r17053; float r17055 = x; float r17056 = cos(r17055); float r17057 = sin(r17052); float r17058 = cos(r17052); float r17059 = sin(r17055); float r17060 = r17058 * r17059; float r17061 = fma(r17056, r17057, r17060); float r17062 = -r17059; float r17063 = r17061 + r17062; float r17064 = 2.1805139915898053e-09f; bool r17065 = r17052 <= r17064; float r17066 = r17057 * r17056; float r17067 = r17059 * r17058; float r17068 = r17067 * r17067; float r17069 = r17056 * r17057; float r17070 = r17069 - r17059; float r17071 = r17070 * r17070; float r17072 = r17068 - r17071; float r17073 = fma(r17058, r17059, r17059); float r17074 = r17073 - r17066; float r17075 = r17072 / r17074; float r17076 = r17065 ? r17066 : r17075; float r17077 = r17054 ? r17063 : r17076; return r17077; } double f_od(double x, double eps) { double r17078 = eps; double r17079 = -0.0003071341780014336; bool r17080 = r17078 <= r17079; double r17081 = x; double r17082 = cos(r17081); double r17083 = sin(r17078); double r17084 = cos(r17078); double r17085 = sin(r17081); double r17086 = r17084 * r17085; double r17087 = fma(r17082, r17083, r17086); double r17088 = -r17085; double r17089 = r17087 + r17088; double r17090 = 2.1805139915898053e-09; bool r17091 = r17078 <= r17090; double r17092 = r17083 * r17082; double r17093 = r17085 * r17084; double r17094 = r17093 * r17093; double r17095 = r17082 * r17083; double r17096 = r17095 - r17085; double r17097 = r17096 * r17096; double r17098 = r17094 - r17097; double r17099 = fma(r17084, r17085, r17085); double r17100 = r17099 - r17092; double r17101 = r17098 / r17100; double r17102 = r17091 ? r17092 : r17101; double r17103 = r17080 ? r17089 : r17102; return r17103; } 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 r17104, r17105, r17106, r17107, r17108, r17109; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r17104); mpfr_init(r17105); mpfr_init(r17106); mpfr_init(r17107); mpfr_init(r17108); mpfr_init(r17109); } double f_im(double x, double eps) { mpfr_set_d(r17104, x, MPFR_RNDN); mpfr_set_d(r17105, eps, MPFR_RNDN); mpfr_add(r17106, r17104, r17105, MPFR_RNDN); mpfr_sin(r17107, r17106, MPFR_RNDN); mpfr_sin(r17108, r17104, MPFR_RNDN); mpfr_sub(r17109, r17107, r17108, MPFR_RNDN); return mpfr_get_d(r17109, MPFR_RNDN); } static mpfr_t r17110, r17111, r17112, r17113, r17114, r17115, r17116, r17117, r17118, r17119, r17120, r17121, r17122, r17123, r17124, r17125, r17126, r17127, r17128, r17129, r17130, r17131, r17132, r17133, r17134, r17135; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r17110); mpfr_init_set_str(r17111, "-0.00030713418f0", 10, MPFR_RNDN); mpfr_init(r17112); mpfr_init(r17113); mpfr_init(r17114); mpfr_init(r17115); mpfr_init(r17116); mpfr_init(r17117); mpfr_init(r17118); mpfr_init(r17119); mpfr_init(r17120); mpfr_init(r17121); mpfr_init_set_str(r17122, "2.180514f-09", 10, MPFR_RNDN); mpfr_init(r17123); mpfr_init(r17124); mpfr_init(r17125); mpfr_init(r17126); mpfr_init(r17127); mpfr_init(r17128); mpfr_init(r17129); mpfr_init(r17130); mpfr_init(r17131); mpfr_init(r17132); mpfr_init(r17133); mpfr_init(r17134); mpfr_init(r17135); } double f_fm(double x, double eps) { mpfr_set_d(r17110, eps, MPFR_RNDN); ; mpfr_set_si(r17112, mpfr_cmp(r17110, r17111) <= 0, MPFR_RNDN); mpfr_set_d(r17113, x, MPFR_RNDN); mpfr_cos(r17114, r17113, MPFR_RNDN); mpfr_sin(r17115, r17110, MPFR_RNDN); mpfr_cos(r17116, r17110, MPFR_RNDN); mpfr_sin(r17117, r17113, MPFR_RNDN); mpfr_mul(r17118, r17116, r17117, MPFR_RNDN); mpfr_fma(r17119, r17114, r17115, r17118, MPFR_RNDN); mpfr_neg(r17120, r17117, MPFR_RNDN); mpfr_add(r17121, r17119, r17120, MPFR_RNDN); ; mpfr_set_si(r17123, mpfr_cmp(r17110, r17122) <= 0, MPFR_RNDN); mpfr_mul(r17124, r17115, r17114, MPFR_RNDN); mpfr_mul(r17125, r17117, r17116, MPFR_RNDN); mpfr_sqr(r17126, r17125, MPFR_RNDN); mpfr_mul(r17127, r17114, r17115, MPFR_RNDN); mpfr_sub(r17128, r17127, r17117, MPFR_RNDN); mpfr_sqr(r17129, r17128, MPFR_RNDN); mpfr_sub(r17130, r17126, r17129, MPFR_RNDN); mpfr_fma(r17131, r17116, r17117, r17117, MPFR_RNDN); mpfr_sub(r17132, r17131, r17124, MPFR_RNDN); mpfr_div(r17133, r17130, r17132, MPFR_RNDN); if (mpfr_get_si(r17123, MPFR_RNDN)) { mpfr_set(r17134, r17124, MPFR_RNDN); } else { mpfr_set(r17134, r17133, MPFR_RNDN); }; if (mpfr_get_si(r17112, MPFR_RNDN)) { mpfr_set(r17135, r17121, MPFR_RNDN); } else { mpfr_set(r17135, r17134, MPFR_RNDN); }; return mpfr_get_d(r17135, MPFR_RNDN); } static mpfr_t r17136, r17137, r17138, r17139, r17140, r17141, r17142, r17143, r17144, r17145, r17146, r17147, r17148, r17149, r17150, r17151, r17152, r17153, r17154, r17155, r17156, r17157, r17158, r17159, r17160, r17161; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r17136); mpfr_init_set_str(r17137, "-0.00030713418f0", 10, MPFR_RNDN); mpfr_init(r17138); mpfr_init(r17139); mpfr_init(r17140); mpfr_init(r17141); mpfr_init(r17142); mpfr_init(r17143); mpfr_init(r17144); mpfr_init(r17145); mpfr_init(r17146); mpfr_init(r17147); mpfr_init_set_str(r17148, "2.180514f-09", 10, MPFR_RNDN); mpfr_init(r17149); mpfr_init(r17150); mpfr_init(r17151); mpfr_init(r17152); mpfr_init(r17153); mpfr_init(r17154); mpfr_init(r17155); mpfr_init(r17156); mpfr_init(r17157); mpfr_init(r17158); mpfr_init(r17159); mpfr_init(r17160); mpfr_init(r17161); } double f_dm(double x, double eps) { mpfr_set_d(r17136, eps, MPFR_RNDN); ; mpfr_set_si(r17138, mpfr_cmp(r17136, r17137) <= 0, MPFR_RNDN); mpfr_set_d(r17139, x, MPFR_RNDN); mpfr_cos(r17140, r17139, MPFR_RNDN); mpfr_sin(r17141, r17136, MPFR_RNDN); mpfr_cos(r17142, r17136, MPFR_RNDN); mpfr_sin(r17143, r17139, MPFR_RNDN); mpfr_mul(r17144, r17142, r17143, MPFR_RNDN); mpfr_fma(r17145, r17140, r17141, r17144, MPFR_RNDN); mpfr_neg(r17146, r17143, MPFR_RNDN); mpfr_add(r17147, r17145, r17146, MPFR_RNDN); ; mpfr_set_si(r17149, mpfr_cmp(r17136, r17148) <= 0, MPFR_RNDN); mpfr_mul(r17150, r17141, r17140, MPFR_RNDN); mpfr_mul(r17151, r17143, r17142, MPFR_RNDN); mpfr_sqr(r17152, r17151, MPFR_RNDN); mpfr_mul(r17153, r17140, r17141, MPFR_RNDN); mpfr_sub(r17154, r17153, r17143, MPFR_RNDN); mpfr_sqr(r17155, r17154, MPFR_RNDN); mpfr_sub(r17156, r17152, r17155, MPFR_RNDN); mpfr_fma(r17157, r17142, r17143, r17143, MPFR_RNDN); mpfr_sub(r17158, r17157, r17150, MPFR_RNDN); mpfr_div(r17159, r17156, r17158, MPFR_RNDN); if (mpfr_get_si(r17149, MPFR_RNDN)) { mpfr_set(r17160, r17150, MPFR_RNDN); } else { mpfr_set(r17160, r17159, MPFR_RNDN); }; if (mpfr_get_si(r17138, MPFR_RNDN)) { mpfr_set(r17161, r17147, MPFR_RNDN); } else { mpfr_set(r17161, r17160, MPFR_RNDN); }; return mpfr_get_d(r17161, MPFR_RNDN); }