#include #include #include #include #include char *name = "NMSE problem 3.3.2"; double f_if(float x, float eps) { float r16032 = x; float r16033 = eps; float r16034 = r16032 + r16033; float r16035 = tan(r16034); float r16036 = tan(r16032); float r16037 = r16035 - r16036; return r16037; } double f_id(double x, double eps) { double r16038 = x; double r16039 = eps; double r16040 = r16038 + r16039; double r16041 = tan(r16040); double r16042 = tan(r16038); double r16043 = r16041 - r16042; return r16043; } double f_of(float x, float eps) { float r16044 = eps; float r16045 = -3.5438160870943954e-16f; bool r16046 = r16044 <= r16045; float r16047 = x; float r16048 = sin(r16047); float r16049 = cos(r16044); float r16050 = r16048 * r16049; float r16051 = cos(r16047); float r16052 = sin(r16044); float r16053 = r16051 * r16052; float r16054 = r16050 + r16053; float r16055 = r16051 * r16049; float r16056 = r16048 * r16052; float r16057 = r16055 - r16056; float r16058 = r16054 / r16057; float r16059 = tan(r16047); float r16060 = r16058 - r16059; float r16061 = 0.0016565824112741959f; bool r16062 = r16044 <= r16061; float r16063 = r16049 * r16051; float r16064 = r16047 + r16044; float r16065 = cos(r16064); float r16066 = r16063 - r16065; float r16067 = r16051 * r16051; float r16068 = r16052 * r16067; float r16069 = fma(r16048, r16066, r16068); float r16070 = r16065 * r16051; float r16071 = r16069 / r16070; float r16072 = r16062 ? r16071 : r16060; float r16073 = r16046 ? r16060 : r16072; return r16073; } double f_od(double x, double eps) { double r16074 = eps; double r16075 = -3.5438160870943954e-16; bool r16076 = r16074 <= r16075; double r16077 = x; double r16078 = sin(r16077); double r16079 = cos(r16074); double r16080 = r16078 * r16079; double r16081 = cos(r16077); double r16082 = sin(r16074); double r16083 = r16081 * r16082; double r16084 = r16080 + r16083; double r16085 = r16081 * r16079; double r16086 = r16078 * r16082; double r16087 = r16085 - r16086; double r16088 = r16084 / r16087; double r16089 = tan(r16077); double r16090 = r16088 - r16089; double r16091 = 0.0016565824112741959; bool r16092 = r16074 <= r16091; double r16093 = r16079 * r16081; double r16094 = r16077 + r16074; double r16095 = cos(r16094); double r16096 = r16093 - r16095; double r16097 = r16081 * r16081; double r16098 = r16082 * r16097; double r16099 = fma(r16078, r16096, r16098); double r16100 = r16095 * r16081; double r16101 = r16099 / r16100; double r16102 = r16092 ? r16101 : r16090; double r16103 = r16076 ? r16090 : r16102; return r16103; } 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 r16104, r16105, r16106, r16107, r16108, r16109; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16104); mpfr_init(r16105); mpfr_init(r16106); mpfr_init(r16107); mpfr_init(r16108); mpfr_init(r16109); } double f_im(double x, double eps) { mpfr_set_d(r16104, x, MPFR_RNDN); mpfr_set_d(r16105, eps, MPFR_RNDN); mpfr_add(r16106, r16104, r16105, MPFR_RNDN); mpfr_tan(r16107, r16106, MPFR_RNDN); mpfr_tan(r16108, r16104, MPFR_RNDN); mpfr_sub(r16109, r16107, r16108, MPFR_RNDN); return mpfr_get_d(r16109, MPFR_RNDN); } static mpfr_t r16110, r16111, r16112, r16113, r16114, r16115, r16116, r16117, r16118, r16119, r16120, r16121, r16122, r16123, r16124, r16125, r16126, r16127, r16128, r16129, r16130, r16131, r16132, r16133, r16134, r16135, r16136, r16137, r16138, r16139; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16110); mpfr_init_set_str(r16111, "-3.5438160870943954e-16", 10, MPFR_RNDN); mpfr_init(r16112); mpfr_init(r16113); mpfr_init(r16114); mpfr_init(r16115); mpfr_init(r16116); mpfr_init(r16117); mpfr_init(r16118); mpfr_init(r16119); mpfr_init(r16120); mpfr_init(r16121); mpfr_init(r16122); mpfr_init(r16123); mpfr_init(r16124); mpfr_init(r16125); mpfr_init(r16126); mpfr_init_set_str(r16127, "0.0016565824112741959", 10, MPFR_RNDN); mpfr_init(r16128); mpfr_init(r16129); mpfr_init(r16130); mpfr_init(r16131); mpfr_init(r16132); mpfr_init(r16133); mpfr_init(r16134); mpfr_init(r16135); mpfr_init(r16136); mpfr_init(r16137); mpfr_init(r16138); mpfr_init(r16139); } double f_fm(double x, double eps) { mpfr_set_d(r16110, eps, MPFR_RNDN); ; mpfr_set_si(r16112, mpfr_cmp(r16110, r16111) <= 0, MPFR_RNDN); mpfr_set_d(r16113, x, MPFR_RNDN); mpfr_sin(r16114, r16113, MPFR_RNDN); mpfr_cos(r16115, r16110, MPFR_RNDN); mpfr_mul(r16116, r16114, r16115, MPFR_RNDN); mpfr_cos(r16117, r16113, MPFR_RNDN); mpfr_sin(r16118, r16110, MPFR_RNDN); mpfr_mul(r16119, r16117, r16118, MPFR_RNDN); mpfr_add(r16120, r16116, r16119, MPFR_RNDN); mpfr_mul(r16121, r16117, r16115, MPFR_RNDN); mpfr_mul(r16122, r16114, r16118, MPFR_RNDN); mpfr_sub(r16123, r16121, r16122, MPFR_RNDN); mpfr_div(r16124, r16120, r16123, MPFR_RNDN); mpfr_tan(r16125, r16113, MPFR_RNDN); mpfr_sub(r16126, r16124, r16125, MPFR_RNDN); ; mpfr_set_si(r16128, mpfr_cmp(r16110, r16127) <= 0, MPFR_RNDN); mpfr_mul(r16129, r16115, r16117, MPFR_RNDN); mpfr_add(r16130, r16113, r16110, MPFR_RNDN); mpfr_cos(r16131, r16130, MPFR_RNDN); mpfr_sub(r16132, r16129, r16131, MPFR_RNDN); mpfr_mul(r16133, r16117, r16117, MPFR_RNDN); mpfr_mul(r16134, r16118, r16133, MPFR_RNDN); mpfr_fma(r16135, r16114, r16132, r16134, MPFR_RNDN); mpfr_mul(r16136, r16131, r16117, MPFR_RNDN); mpfr_div(r16137, r16135, r16136, MPFR_RNDN); if (mpfr_get_si(r16128, MPFR_RNDN)) { mpfr_set(r16138, r16137, MPFR_RNDN); } else { mpfr_set(r16138, r16126, MPFR_RNDN); }; if (mpfr_get_si(r16112, MPFR_RNDN)) { mpfr_set(r16139, r16126, MPFR_RNDN); } else { mpfr_set(r16139, r16138, MPFR_RNDN); }; return mpfr_get_d(r16139, MPFR_RNDN); } static mpfr_t r16140, r16141, r16142, r16143, r16144, r16145, r16146, r16147, r16148, r16149, r16150, r16151, r16152, r16153, r16154, r16155, r16156, r16157, r16158, r16159, r16160, r16161, r16162, r16163, r16164, r16165, r16166, r16167, r16168, r16169; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16140); mpfr_init_set_str(r16141, "-3.5438160870943954e-16", 10, MPFR_RNDN); mpfr_init(r16142); mpfr_init(r16143); mpfr_init(r16144); mpfr_init(r16145); mpfr_init(r16146); mpfr_init(r16147); mpfr_init(r16148); mpfr_init(r16149); mpfr_init(r16150); mpfr_init(r16151); mpfr_init(r16152); mpfr_init(r16153); mpfr_init(r16154); mpfr_init(r16155); mpfr_init(r16156); mpfr_init_set_str(r16157, "0.0016565824112741959", 10, MPFR_RNDN); mpfr_init(r16158); mpfr_init(r16159); mpfr_init(r16160); mpfr_init(r16161); mpfr_init(r16162); mpfr_init(r16163); mpfr_init(r16164); mpfr_init(r16165); mpfr_init(r16166); mpfr_init(r16167); mpfr_init(r16168); mpfr_init(r16169); } double f_dm(double x, double eps) { mpfr_set_d(r16140, eps, MPFR_RNDN); ; mpfr_set_si(r16142, mpfr_cmp(r16140, r16141) <= 0, MPFR_RNDN); mpfr_set_d(r16143, x, MPFR_RNDN); mpfr_sin(r16144, r16143, MPFR_RNDN); mpfr_cos(r16145, r16140, MPFR_RNDN); mpfr_mul(r16146, r16144, r16145, MPFR_RNDN); mpfr_cos(r16147, r16143, MPFR_RNDN); mpfr_sin(r16148, r16140, MPFR_RNDN); mpfr_mul(r16149, r16147, r16148, MPFR_RNDN); mpfr_add(r16150, r16146, r16149, MPFR_RNDN); mpfr_mul(r16151, r16147, r16145, MPFR_RNDN); mpfr_mul(r16152, r16144, r16148, MPFR_RNDN); mpfr_sub(r16153, r16151, r16152, MPFR_RNDN); mpfr_div(r16154, r16150, r16153, MPFR_RNDN); mpfr_tan(r16155, r16143, MPFR_RNDN); mpfr_sub(r16156, r16154, r16155, MPFR_RNDN); ; mpfr_set_si(r16158, mpfr_cmp(r16140, r16157) <= 0, MPFR_RNDN); mpfr_mul(r16159, r16145, r16147, MPFR_RNDN); mpfr_add(r16160, r16143, r16140, MPFR_RNDN); mpfr_cos(r16161, r16160, MPFR_RNDN); mpfr_sub(r16162, r16159, r16161, MPFR_RNDN); mpfr_mul(r16163, r16147, r16147, MPFR_RNDN); mpfr_mul(r16164, r16148, r16163, MPFR_RNDN); mpfr_fma(r16165, r16144, r16162, r16164, MPFR_RNDN); mpfr_mul(r16166, r16161, r16147, MPFR_RNDN); mpfr_div(r16167, r16165, r16166, MPFR_RNDN); if (mpfr_get_si(r16158, MPFR_RNDN)) { mpfr_set(r16168, r16167, MPFR_RNDN); } else { mpfr_set(r16168, r16156, MPFR_RNDN); }; if (mpfr_get_si(r16142, MPFR_RNDN)) { mpfr_set(r16169, r16156, MPFR_RNDN); } else { mpfr_set(r16169, r16168, MPFR_RNDN); }; return mpfr_get_d(r16169, MPFR_RNDN); }