#include #include #include #include #include char *name = "NMSE problem 3.3.2"; double f_if(float x, float eps) { float r16400 = x; float r16401 = eps; float r16402 = r16400 + r16401; float r16403 = tan(r16402); float r16404 = tan(r16400); float r16405 = r16403 - r16404; return r16405; } double f_id(double x, double eps) { double r16406 = x; double r16407 = eps; double r16408 = r16406 + r16407; double r16409 = tan(r16408); double r16410 = tan(r16406); double r16411 = r16409 - r16410; return r16411; } double f_of(float x, float eps) { float r16412 = eps; float r16413 = -5.831882313182785e-50f; bool r16414 = r16412 <= r16413; float r16415 = x; float r16416 = cos(r16415); float r16417 = r16415 + r16412; float r16418 = 1.0 / tan(r16417); float r16419 = r16416 / r16418; float r16420 = sin(r16415); float r16421 = r16419 - r16420; float r16422 = r16421 * (r16421 * r16421); float r16423 = r16416 * (r16416 * r16416); float r16424 = r16422 / r16423; float r16425 = cbrt(r16424); float r16426 = 7.404354464384737e-68f; bool r16427 = r16412 <= r16426; float r16428 = r16415 * r16415; float r16429 = r16412 * (r16412 * r16412); float r16430 = r16428 * r16429; float r16431 = r16412 + r16430; float r16432 = 4.0f; float r16433 = pow(r16412, r16432); float r16434 = r16415 * (r16415 * r16415); float r16435 = r16433 * r16434; float r16436 = r16431 + r16435; float r16437 = 3.0f; float r16438 = pow(r16416, r16437); float r16439 = r16412 + r16415; float r16440 = 1.0 / tan(r16439); float r16441 = r16440 * r16420; float r16442 = pow(r16441, r16437); float r16443 = r16438 - r16442; float r16444 = r16418 * r16416; float r16445 = r16416 * r16416; float r16446 = r16441 * r16441; float r16447 = r16416 * r16441; float r16448 = r16446 + r16447; float r16449 = r16445 + r16448; float r16450 = r16444 * r16449; float r16451 = r16443 / r16450; float r16452 = r16427 ? r16436 : r16451; float r16453 = r16414 ? r16425 : r16452; return r16453; } double f_od(double x, double eps) { double r16454 = eps; double r16455 = -5.831882313182785e-50; bool r16456 = r16454 <= r16455; double r16457 = x; double r16458 = cos(r16457); double r16459 = r16457 + r16454; double r16460 = 1.0 / tan(r16459); double r16461 = r16458 / r16460; double r16462 = sin(r16457); double r16463 = r16461 - r16462; double r16464 = r16463 * (r16463 * r16463); double r16465 = r16458 * (r16458 * r16458); double r16466 = r16464 / r16465; double r16467 = cbrt(r16466); double r16468 = 7.404354464384737e-68; bool r16469 = r16454 <= r16468; double r16470 = r16457 * r16457; double r16471 = r16454 * (r16454 * r16454); double r16472 = r16470 * r16471; double r16473 = r16454 + r16472; double r16474 = 4.0; double r16475 = pow(r16454, r16474); double r16476 = r16457 * (r16457 * r16457); double r16477 = r16475 * r16476; double r16478 = r16473 + r16477; double r16479 = 3.0; double r16480 = pow(r16458, r16479); double r16481 = r16454 + r16457; double r16482 = 1.0 / tan(r16481); double r16483 = r16482 * r16462; double r16484 = pow(r16483, r16479); double r16485 = r16480 - r16484; double r16486 = r16460 * r16458; double r16487 = r16458 * r16458; double r16488 = r16483 * r16483; double r16489 = r16458 * r16483; double r16490 = r16488 + r16489; double r16491 = r16487 + r16490; double r16492 = r16486 * r16491; double r16493 = r16485 / r16492; double r16494 = r16469 ? r16478 : r16493; double r16495 = r16456 ? r16467 : r16494; return r16495; } 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 r16496, r16497, r16498, r16499, r16500, r16501; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16496); mpfr_init(r16497); mpfr_init(r16498); mpfr_init(r16499); mpfr_init(r16500); mpfr_init(r16501); } double f_im(double x, double eps) { mpfr_set_d(r16496, x, MPFR_RNDN); mpfr_set_d(r16497, eps, MPFR_RNDN); mpfr_add(r16498, r16496, r16497, MPFR_RNDN); mpfr_tan(r16499, r16498, MPFR_RNDN); mpfr_tan(r16500, r16496, MPFR_RNDN); mpfr_sub(r16501, r16499, r16500, MPFR_RNDN); return mpfr_get_d(r16501, MPFR_RNDN); } static mpfr_t r16502, r16503, r16504, r16505, r16506, r16507, r16508, r16509, r16510, r16511, r16512, r16513, r16514, r16515, r16516, r16517, r16518, r16519, r16520, r16521, r16522, r16523, r16524, r16525, r16526, r16527, r16528, r16529, r16530, r16531, r16532, r16533, r16534, r16535, r16536, r16537, r16538, r16539, r16540, r16541, r16542, r16543; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16502); mpfr_init_set_str(r16503, "-5.831882313182785e-50", 10, MPFR_RNDN); mpfr_init(r16504); mpfr_init(r16505); mpfr_init(r16506); mpfr_init(r16507); mpfr_init(r16508); mpfr_init(r16509); mpfr_init(r16510); mpfr_init(r16511); mpfr_init(r16512); mpfr_init(r16513); mpfr_init(r16514); mpfr_init(r16515); mpfr_init_set_str(r16516, "7.404354464384737e-68", 10, MPFR_RNDN); mpfr_init(r16517); mpfr_init(r16518); mpfr_init(r16519); mpfr_init(r16520); mpfr_init(r16521); mpfr_init_set_str(r16522, "4", 10, MPFR_RNDN); mpfr_init(r16523); mpfr_init(r16524); mpfr_init(r16525); mpfr_init(r16526); mpfr_init_set_str(r16527, "3", 10, MPFR_RNDN); mpfr_init(r16528); mpfr_init(r16529); mpfr_init(r16530); mpfr_init(r16531); mpfr_init(r16532); mpfr_init(r16533); mpfr_init(r16534); mpfr_init(r16535); mpfr_init(r16536); mpfr_init(r16537); mpfr_init(r16538); mpfr_init(r16539); mpfr_init(r16540); mpfr_init(r16541); mpfr_init(r16542); mpfr_init(r16543); } double f_fm(double x, double eps) { mpfr_set_d(r16502, eps, MPFR_RNDN); ; mpfr_set_si(r16504, mpfr_cmp(r16502, r16503) <= 0, MPFR_RNDN); mpfr_set_d(r16505, x, MPFR_RNDN); mpfr_cos(r16506, r16505, MPFR_RNDN); mpfr_add(r16507, r16505, r16502, MPFR_RNDN); mpfr_cot(r16508, r16507, MPFR_RNDN); mpfr_div(r16509, r16506, r16508, MPFR_RNDN); mpfr_sin(r16510, r16505, MPFR_RNDN); mpfr_sub(r16511, r16509, r16510, MPFR_RNDN); mpfr_mul(r16512, r16511, r16511, MPFR_RNDN); mpfr_mul(r16512, r16512, r16511, MPFR_RNDN); mpfr_mul(r16513, r16506, r16506, MPFR_RNDN); mpfr_mul(r16513, r16513, r16506, MPFR_RNDN); mpfr_div(r16514, r16512, r16513, MPFR_RNDN); mpfr_cbrt(r16515, r16514, MPFR_RNDN); ; mpfr_set_si(r16517, mpfr_cmp(r16502, r16516) <= 0, MPFR_RNDN); mpfr_mul(r16518, r16505, r16505, MPFR_RNDN); mpfr_mul(r16519, r16502, r16502, MPFR_RNDN); mpfr_mul(r16519, r16519, r16502, MPFR_RNDN); mpfr_mul(r16520, r16518, r16519, MPFR_RNDN); mpfr_add(r16521, r16502, r16520, MPFR_RNDN); ; mpfr_pow(r16523, r16502, r16522, MPFR_RNDN); mpfr_mul(r16524, r16505, r16505, MPFR_RNDN); mpfr_mul(r16524, r16524, r16505, MPFR_RNDN); mpfr_mul(r16525, r16523, r16524, MPFR_RNDN); mpfr_add(r16526, r16521, r16525, MPFR_RNDN); ; mpfr_pow(r16528, r16506, r16527, MPFR_RNDN); mpfr_add(r16529, r16502, r16505, MPFR_RNDN); mpfr_cot(r16530, r16529, MPFR_RNDN); mpfr_mul(r16531, r16530, r16510, MPFR_RNDN); mpfr_pow(r16532, r16531, r16527, MPFR_RNDN); mpfr_sub(r16533, r16528, r16532, MPFR_RNDN); mpfr_mul(r16534, r16508, r16506, MPFR_RNDN); mpfr_sqr(r16535, r16506, MPFR_RNDN); mpfr_sqr(r16536, r16531, MPFR_RNDN); mpfr_mul(r16537, r16506, r16531, MPFR_RNDN); mpfr_add(r16538, r16536, r16537, MPFR_RNDN); mpfr_add(r16539, r16535, r16538, MPFR_RNDN); mpfr_mul(r16540, r16534, r16539, MPFR_RNDN); mpfr_div(r16541, r16533, r16540, MPFR_RNDN); if (mpfr_get_si(r16517, MPFR_RNDN)) { mpfr_set(r16542, r16526, MPFR_RNDN); } else { mpfr_set(r16542, r16541, MPFR_RNDN); }; if (mpfr_get_si(r16504, MPFR_RNDN)) { mpfr_set(r16543, r16515, MPFR_RNDN); } else { mpfr_set(r16543, r16542, MPFR_RNDN); }; return mpfr_get_d(r16543, MPFR_RNDN); } static mpfr_t r16544, r16545, r16546, r16547, r16548, r16549, r16550, r16551, r16552, r16553, r16554, r16555, r16556, r16557, r16558, r16559, r16560, r16561, r16562, r16563, r16564, r16565, r16566, r16567, r16568, r16569, r16570, r16571, r16572, r16573, r16574, r16575, r16576, r16577, r16578, r16579, r16580, r16581, r16582, r16583, r16584, r16585; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16544); mpfr_init_set_str(r16545, "-5.831882313182785e-50", 10, MPFR_RNDN); mpfr_init(r16546); mpfr_init(r16547); mpfr_init(r16548); mpfr_init(r16549); mpfr_init(r16550); mpfr_init(r16551); mpfr_init(r16552); mpfr_init(r16553); mpfr_init(r16554); mpfr_init(r16555); mpfr_init(r16556); mpfr_init(r16557); mpfr_init_set_str(r16558, "7.404354464384737e-68", 10, MPFR_RNDN); mpfr_init(r16559); mpfr_init(r16560); mpfr_init(r16561); mpfr_init(r16562); mpfr_init(r16563); mpfr_init_set_str(r16564, "4", 10, MPFR_RNDN); mpfr_init(r16565); mpfr_init(r16566); mpfr_init(r16567); mpfr_init(r16568); mpfr_init_set_str(r16569, "3", 10, MPFR_RNDN); mpfr_init(r16570); mpfr_init(r16571); mpfr_init(r16572); mpfr_init(r16573); mpfr_init(r16574); mpfr_init(r16575); mpfr_init(r16576); mpfr_init(r16577); mpfr_init(r16578); mpfr_init(r16579); mpfr_init(r16580); mpfr_init(r16581); mpfr_init(r16582); mpfr_init(r16583); mpfr_init(r16584); mpfr_init(r16585); } double f_dm(double x, double eps) { mpfr_set_d(r16544, eps, MPFR_RNDN); ; mpfr_set_si(r16546, mpfr_cmp(r16544, r16545) <= 0, MPFR_RNDN); mpfr_set_d(r16547, x, MPFR_RNDN); mpfr_cos(r16548, r16547, MPFR_RNDN); mpfr_add(r16549, r16547, r16544, MPFR_RNDN); mpfr_cot(r16550, r16549, MPFR_RNDN); mpfr_div(r16551, r16548, r16550, MPFR_RNDN); mpfr_sin(r16552, r16547, MPFR_RNDN); mpfr_sub(r16553, r16551, r16552, MPFR_RNDN); mpfr_mul(r16554, r16553, r16553, MPFR_RNDN); mpfr_mul(r16554, r16554, r16553, MPFR_RNDN); mpfr_mul(r16555, r16548, r16548, MPFR_RNDN); mpfr_mul(r16555, r16555, r16548, MPFR_RNDN); mpfr_div(r16556, r16554, r16555, MPFR_RNDN); mpfr_cbrt(r16557, r16556, MPFR_RNDN); ; mpfr_set_si(r16559, mpfr_cmp(r16544, r16558) <= 0, MPFR_RNDN); mpfr_mul(r16560, r16547, r16547, MPFR_RNDN); mpfr_mul(r16561, r16544, r16544, MPFR_RNDN); mpfr_mul(r16561, r16561, r16544, MPFR_RNDN); mpfr_mul(r16562, r16560, r16561, MPFR_RNDN); mpfr_add(r16563, r16544, r16562, MPFR_RNDN); ; mpfr_pow(r16565, r16544, r16564, MPFR_RNDN); mpfr_mul(r16566, r16547, r16547, MPFR_RNDN); mpfr_mul(r16566, r16566, r16547, MPFR_RNDN); mpfr_mul(r16567, r16565, r16566, MPFR_RNDN); mpfr_add(r16568, r16563, r16567, MPFR_RNDN); ; mpfr_pow(r16570, r16548, r16569, MPFR_RNDN); mpfr_add(r16571, r16544, r16547, MPFR_RNDN); mpfr_cot(r16572, r16571, MPFR_RNDN); mpfr_mul(r16573, r16572, r16552, MPFR_RNDN); mpfr_pow(r16574, r16573, r16569, MPFR_RNDN); mpfr_sub(r16575, r16570, r16574, MPFR_RNDN); mpfr_mul(r16576, r16550, r16548, MPFR_RNDN); mpfr_sqr(r16577, r16548, MPFR_RNDN); mpfr_sqr(r16578, r16573, MPFR_RNDN); mpfr_mul(r16579, r16548, r16573, MPFR_RNDN); mpfr_add(r16580, r16578, r16579, MPFR_RNDN); mpfr_add(r16581, r16577, r16580, MPFR_RNDN); mpfr_mul(r16582, r16576, r16581, MPFR_RNDN); mpfr_div(r16583, r16575, r16582, MPFR_RNDN); if (mpfr_get_si(r16559, MPFR_RNDN)) { mpfr_set(r16584, r16568, MPFR_RNDN); } else { mpfr_set(r16584, r16583, MPFR_RNDN); }; if (mpfr_get_si(r16546, MPFR_RNDN)) { mpfr_set(r16585, r16557, MPFR_RNDN); } else { mpfr_set(r16585, r16584, MPFR_RNDN); }; return mpfr_get_d(r16585, MPFR_RNDN); }