#include #include #include #include #include char *name = "NMSE problem 3.3.2"; double f_if(float x, float eps) { float r16368 = x; float r16369 = eps; float r16370 = r16368 + r16369; float r16371 = tan(r16370); float r16372 = tan(r16368); float r16373 = r16371 - r16372; return r16373; } double f_id(double x, double eps) { double r16374 = x; double r16375 = eps; double r16376 = r16374 + r16375; double r16377 = tan(r16376); double r16378 = tan(r16374); double r16379 = r16377 - r16378; return r16379; } double f_of(float x, float eps) { float r16380 = x; float r16381 = eps; float r16382 = r16380 + r16381; float r16383 = tan(r16382); float r16384 = tan(r16380); float r16385 = r16383 - r16384; float r16386 = -0.041489601135253906f; bool r16387 = r16385 <= r16386; float r16388 = cbrt(r16384); float r16389 = r16388 * (r16388 * r16388); float r16390 = r16383 - r16389; float r16391 = 0.0023221548181027174f; bool r16392 = r16385 <= r16391; float r16393 = cos(r16380); float r16394 = r16381 / r16393; float r16395 = sin(r16380); float r16396 = r16393 / r16395; float r16397 = r16395 / r16396; float r16398 = r16381 * r16381; float r16399 = r16398 / r16393; float r16400 = r16395 * r16399; float r16401 = fma(r16394, r16397, r16400); float r16402 = r16393 * (r16393 * r16393); float r16403 = r16398 / r16402; float r16404 = r16395 * (r16395 * r16395); float r16405 = 0.3333333432674408f; float r16406 = r16381 * (r16381 * r16381); float r16407 = r16405 * r16406; float r16408 = fma(r16403, r16404, r16407); float r16409 = r16401 + r16408; float r16410 = 4.0f; float r16411 = pow(r16393, r16410); float r16412 = r16406 / r16411; float r16413 = pow(r16395, r16410); float r16414 = 1.3333333730697632f; float r16415 = r16414 / r16393; float r16416 = r16395 * r16395; float r16417 = r16393 / r16406; float r16418 = r16416 / r16417; float r16419 = fma(r16415, r16418, r16381); float r16420 = fma(r16412, r16413, r16419); float r16421 = r16409 + r16420; float r16422 = r16392 ? r16421 : r16390; float r16423 = r16387 ? r16390 : r16422; return r16423; } double f_od(double x, double eps) { double r16424 = x; double r16425 = eps; double r16426 = r16424 + r16425; double r16427 = tan(r16426); double r16428 = tan(r16424); double r16429 = r16427 - r16428; double r16430 = -0.041489601135253906; bool r16431 = r16429 <= r16430; double r16432 = cbrt(r16428); double r16433 = r16432 * (r16432 * r16432); double r16434 = r16427 - r16433; double r16435 = 0.0023221548181027174; bool r16436 = r16429 <= r16435; double r16437 = cos(r16424); double r16438 = r16425 / r16437; double r16439 = sin(r16424); double r16440 = r16437 / r16439; double r16441 = r16439 / r16440; double r16442 = r16425 * r16425; double r16443 = r16442 / r16437; double r16444 = r16439 * r16443; double r16445 = fma(r16438, r16441, r16444); double r16446 = r16437 * (r16437 * r16437); double r16447 = r16442 / r16446; double r16448 = r16439 * (r16439 * r16439); double r16449 = 0.3333333432674408; double r16450 = r16425 * (r16425 * r16425); double r16451 = r16449 * r16450; double r16452 = fma(r16447, r16448, r16451); double r16453 = r16445 + r16452; double r16454 = 4.0; double r16455 = pow(r16437, r16454); double r16456 = r16450 / r16455; double r16457 = pow(r16439, r16454); double r16458 = 1.3333333730697632; double r16459 = r16458 / r16437; double r16460 = r16439 * r16439; double r16461 = r16437 / r16450; double r16462 = r16460 / r16461; double r16463 = fma(r16459, r16462, r16425); double r16464 = fma(r16456, r16457, r16463); double r16465 = r16453 + r16464; double r16466 = r16436 ? r16465 : r16434; double r16467 = r16431 ? r16434 : r16466; return r16467; } 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 r16468, r16469, r16470, r16471, r16472, r16473; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16468); mpfr_init(r16469); mpfr_init(r16470); mpfr_init(r16471); mpfr_init(r16472); mpfr_init(r16473); } double f_im(double x, double eps) { mpfr_set_d(r16468, x, MPFR_RNDN); mpfr_set_d(r16469, eps, MPFR_RNDN); mpfr_add(r16470, r16468, r16469, MPFR_RNDN); mpfr_tan(r16471, r16470, MPFR_RNDN); mpfr_tan(r16472, r16468, MPFR_RNDN); mpfr_sub(r16473, r16471, r16472, MPFR_RNDN); return mpfr_get_d(r16473, MPFR_RNDN); } static mpfr_t r16474, r16475, r16476, r16477, r16478, r16479, r16480, r16481, r16482, r16483, r16484, r16485, r16486, r16487, r16488, r16489, r16490, r16491, r16492, r16493, r16494, r16495, r16496, r16497, r16498, r16499, r16500, r16501, r16502, r16503, r16504, r16505, r16506, r16507, r16508, r16509, r16510, r16511, r16512, r16513, r16514, r16515, r16516, r16517; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16474); mpfr_init(r16475); mpfr_init(r16476); mpfr_init(r16477); mpfr_init(r16478); mpfr_init(r16479); mpfr_init_set_str(r16480, "-0.0414896f0", 10, MPFR_RNDN); mpfr_init(r16481); mpfr_init(r16482); mpfr_init(r16483); mpfr_init(r16484); mpfr_init_set_str(r16485, "0.0023221548f0", 10, MPFR_RNDN); mpfr_init(r16486); mpfr_init(r16487); mpfr_init(r16488); mpfr_init(r16489); mpfr_init(r16490); mpfr_init(r16491); mpfr_init(r16492); mpfr_init(r16493); mpfr_init(r16494); mpfr_init(r16495); mpfr_init(r16496); mpfr_init(r16497); mpfr_init(r16498); mpfr_init_set_str(r16499, "1/3", 10, MPFR_RNDN); mpfr_init(r16500); mpfr_init(r16501); mpfr_init(r16502); mpfr_init(r16503); mpfr_init_set_str(r16504, "4", 10, MPFR_RNDN); mpfr_init(r16505); mpfr_init(r16506); mpfr_init(r16507); mpfr_init_set_str(r16508, "4/3", 10, MPFR_RNDN); mpfr_init(r16509); mpfr_init(r16510); mpfr_init(r16511); mpfr_init(r16512); mpfr_init(r16513); mpfr_init(r16514); mpfr_init(r16515); mpfr_init(r16516); mpfr_init(r16517); } double f_fm(double x, double eps) { mpfr_set_d(r16474, x, MPFR_RNDN); mpfr_set_d(r16475, eps, MPFR_RNDN); mpfr_add(r16476, r16474, r16475, MPFR_RNDN); mpfr_tan(r16477, r16476, MPFR_RNDN); mpfr_tan(r16478, r16474, MPFR_RNDN); mpfr_sub(r16479, r16477, r16478, MPFR_RNDN); ; mpfr_set_si(r16481, mpfr_cmp(r16479, r16480) <= 0, MPFR_RNDN); mpfr_cbrt(r16482, r16478, MPFR_RNDN); mpfr_mul(r16483, r16482, r16482, MPFR_RNDN); mpfr_mul(r16483, r16483, r16482, MPFR_RNDN); mpfr_sub(r16484, r16477, r16483, MPFR_RNDN); ; mpfr_set_si(r16486, mpfr_cmp(r16479, r16485) <= 0, MPFR_RNDN); mpfr_cos(r16487, r16474, MPFR_RNDN); mpfr_div(r16488, r16475, r16487, MPFR_RNDN); mpfr_sin(r16489, r16474, MPFR_RNDN); mpfr_div(r16490, r16487, r16489, MPFR_RNDN); mpfr_div(r16491, r16489, r16490, MPFR_RNDN); mpfr_sqr(r16492, r16475, MPFR_RNDN); mpfr_div(r16493, r16492, r16487, MPFR_RNDN); mpfr_mul(r16494, r16489, r16493, MPFR_RNDN); mpfr_fma(r16495, r16488, r16491, r16494, MPFR_RNDN); mpfr_mul(r16496, r16487, r16487, MPFR_RNDN); mpfr_mul(r16496, r16496, r16487, MPFR_RNDN); mpfr_div(r16497, r16492, r16496, MPFR_RNDN); mpfr_mul(r16498, r16489, r16489, MPFR_RNDN); mpfr_mul(r16498, r16498, r16489, MPFR_RNDN); ; mpfr_mul(r16500, r16475, r16475, MPFR_RNDN); mpfr_mul(r16500, r16500, r16475, MPFR_RNDN); mpfr_mul(r16501, r16499, r16500, MPFR_RNDN); mpfr_fma(r16502, r16497, r16498, r16501, MPFR_RNDN); mpfr_add(r16503, r16495, r16502, MPFR_RNDN); ; mpfr_pow(r16505, r16487, r16504, MPFR_RNDN); mpfr_div(r16506, r16500, r16505, MPFR_RNDN); mpfr_pow(r16507, r16489, r16504, MPFR_RNDN); ; mpfr_div(r16509, r16508, r16487, MPFR_RNDN); mpfr_mul(r16510, r16489, r16489, MPFR_RNDN); mpfr_div(r16511, r16487, r16500, MPFR_RNDN); mpfr_div(r16512, r16510, r16511, MPFR_RNDN); mpfr_fma(r16513, r16509, r16512, r16475, MPFR_RNDN); mpfr_fma(r16514, r16506, r16507, r16513, MPFR_RNDN); mpfr_add(r16515, r16503, r16514, MPFR_RNDN); if (mpfr_get_si(r16486, MPFR_RNDN)) { mpfr_set(r16516, r16515, MPFR_RNDN); } else { mpfr_set(r16516, r16484, MPFR_RNDN); }; if (mpfr_get_si(r16481, MPFR_RNDN)) { mpfr_set(r16517, r16484, MPFR_RNDN); } else { mpfr_set(r16517, r16516, MPFR_RNDN); }; return mpfr_get_d(r16517, MPFR_RNDN); } static mpfr_t 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, r16544, r16545, r16546, r16547, r16548, r16549, r16550, r16551, r16552, r16553, r16554, r16555, r16556, r16557, r16558, r16559, r16560, r16561; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16518); mpfr_init(r16519); mpfr_init(r16520); mpfr_init(r16521); mpfr_init(r16522); mpfr_init(r16523); mpfr_init_set_str(r16524, "-0.0414896f0", 10, MPFR_RNDN); mpfr_init(r16525); mpfr_init(r16526); mpfr_init(r16527); mpfr_init(r16528); mpfr_init_set_str(r16529, "0.0023221548f0", 10, MPFR_RNDN); 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_set_str(r16543, "1/3", 10, MPFR_RNDN); mpfr_init(r16544); mpfr_init(r16545); mpfr_init(r16546); mpfr_init(r16547); mpfr_init_set_str(r16548, "4", 10, MPFR_RNDN); mpfr_init(r16549); mpfr_init(r16550); mpfr_init(r16551); mpfr_init_set_str(r16552, "4/3", 10, MPFR_RNDN); mpfr_init(r16553); mpfr_init(r16554); mpfr_init(r16555); mpfr_init(r16556); mpfr_init(r16557); mpfr_init(r16558); mpfr_init(r16559); mpfr_init(r16560); mpfr_init(r16561); } double f_dm(double x, double eps) { mpfr_set_d(r16518, x, MPFR_RNDN); mpfr_set_d(r16519, eps, MPFR_RNDN); mpfr_add(r16520, r16518, r16519, MPFR_RNDN); mpfr_tan(r16521, r16520, MPFR_RNDN); mpfr_tan(r16522, r16518, MPFR_RNDN); mpfr_sub(r16523, r16521, r16522, MPFR_RNDN); ; mpfr_set_si(r16525, mpfr_cmp(r16523, r16524) <= 0, MPFR_RNDN); mpfr_cbrt(r16526, r16522, MPFR_RNDN); mpfr_mul(r16527, r16526, r16526, MPFR_RNDN); mpfr_mul(r16527, r16527, r16526, MPFR_RNDN); mpfr_sub(r16528, r16521, r16527, MPFR_RNDN); ; mpfr_set_si(r16530, mpfr_cmp(r16523, r16529) <= 0, MPFR_RNDN); mpfr_cos(r16531, r16518, MPFR_RNDN); mpfr_div(r16532, r16519, r16531, MPFR_RNDN); mpfr_sin(r16533, r16518, MPFR_RNDN); mpfr_div(r16534, r16531, r16533, MPFR_RNDN); mpfr_div(r16535, r16533, r16534, MPFR_RNDN); mpfr_sqr(r16536, r16519, MPFR_RNDN); mpfr_div(r16537, r16536, r16531, MPFR_RNDN); mpfr_mul(r16538, r16533, r16537, MPFR_RNDN); mpfr_fma(r16539, r16532, r16535, r16538, MPFR_RNDN); mpfr_mul(r16540, r16531, r16531, MPFR_RNDN); mpfr_mul(r16540, r16540, r16531, MPFR_RNDN); mpfr_div(r16541, r16536, r16540, MPFR_RNDN); mpfr_mul(r16542, r16533, r16533, MPFR_RNDN); mpfr_mul(r16542, r16542, r16533, MPFR_RNDN); ; mpfr_mul(r16544, r16519, r16519, MPFR_RNDN); mpfr_mul(r16544, r16544, r16519, MPFR_RNDN); mpfr_mul(r16545, r16543, r16544, MPFR_RNDN); mpfr_fma(r16546, r16541, r16542, r16545, MPFR_RNDN); mpfr_add(r16547, r16539, r16546, MPFR_RNDN); ; mpfr_pow(r16549, r16531, r16548, MPFR_RNDN); mpfr_div(r16550, r16544, r16549, MPFR_RNDN); mpfr_pow(r16551, r16533, r16548, MPFR_RNDN); ; mpfr_div(r16553, r16552, r16531, MPFR_RNDN); mpfr_mul(r16554, r16533, r16533, MPFR_RNDN); mpfr_div(r16555, r16531, r16544, MPFR_RNDN); mpfr_div(r16556, r16554, r16555, MPFR_RNDN); mpfr_fma(r16557, r16553, r16556, r16519, MPFR_RNDN); mpfr_fma(r16558, r16550, r16551, r16557, MPFR_RNDN); mpfr_add(r16559, r16547, r16558, MPFR_RNDN); if (mpfr_get_si(r16530, MPFR_RNDN)) { mpfr_set(r16560, r16559, MPFR_RNDN); } else { mpfr_set(r16560, r16528, MPFR_RNDN); }; if (mpfr_get_si(r16525, MPFR_RNDN)) { mpfr_set(r16561, r16528, MPFR_RNDN); } else { mpfr_set(r16561, r16560, MPFR_RNDN); }; return mpfr_get_d(r16561, MPFR_RNDN); }