#include #include #include #include #include char *name = "NMSE problem 3.3.2"; double f_if(float x, float eps) { float r16476 = x; float r16477 = eps; float r16478 = r16476 + r16477; float r16479 = tan(r16478); float r16480 = tan(r16476); float r16481 = r16479 - r16480; return r16481; } double f_id(double x, double eps) { double r16482 = x; double r16483 = eps; double r16484 = r16482 + r16483; double r16485 = tan(r16484); double r16486 = tan(r16482); double r16487 = r16485 - r16486; return r16487; } double f_of(float x, float eps) { float r16488 = eps; float r16489 = -5.084423344895139e-11f; bool r16490 = r16488 <= r16489; float r16491 = x; float r16492 = sin(r16491); float r16493 = cos(r16488); float r16494 = r16492 * r16493; float r16495 = cos(r16491); float r16496 = sin(r16488); float r16497 = r16495 * r16496; float r16498 = r16494 + r16497; float r16499 = r16495 * r16493; float r16500 = r16492 * r16496; float r16501 = r16499 - r16500; float r16502 = r16498 / r16501; float r16503 = tan(r16491); float r16504 = r16502 - r16503; float r16505 = 0.056213882732527594f; bool r16506 = r16488 <= r16505; float r16507 = r16495 / r16492; float r16508 = r16507 * r16507; float r16509 = r16488 / r16508; float r16510 = r16488 * r16488; float r16511 = r16510 / r16495; float r16512 = r16511 * r16492; float r16513 = r16509 + r16512; float r16514 = r16492 * (r16492 * r16492); float r16515 = r16495 * (r16495 * r16495); float r16516 = r16515 / r16510; float r16517 = r16514 / r16516; float r16518 = r16513 + r16517; float r16519 = 0.3333333333333333f; float r16520 = r16488 * (r16488 * r16488); float r16521 = r16519 * r16520; float r16522 = r16521 + r16488; float r16523 = 1.3333333333333333f; float r16524 = r16523 * r16488; float r16525 = r16524 * r16510; float r16526 = r16525 / r16508; float r16527 = 4.0f; float r16528 = pow(r16495, r16527); float r16529 = pow(r16492, r16527); float r16530 = r16528 / r16529; float r16531 = r16520 / r16530; float r16532 = r16526 + r16531; float r16533 = r16522 + r16532; float r16534 = r16518 + r16533; float r16535 = r16506 ? r16534 : r16504; float r16536 = r16490 ? r16504 : r16535; return r16536; } double f_od(double x, double eps) { double r16537 = eps; double r16538 = -5.084423344895139e-11; bool r16539 = r16537 <= r16538; double r16540 = x; double r16541 = sin(r16540); double r16542 = cos(r16537); double r16543 = r16541 * r16542; double r16544 = cos(r16540); double r16545 = sin(r16537); double r16546 = r16544 * r16545; double r16547 = r16543 + r16546; double r16548 = r16544 * r16542; double r16549 = r16541 * r16545; double r16550 = r16548 - r16549; double r16551 = r16547 / r16550; double r16552 = tan(r16540); double r16553 = r16551 - r16552; double r16554 = 0.056213882732527594; bool r16555 = r16537 <= r16554; double r16556 = r16544 / r16541; double r16557 = r16556 * r16556; double r16558 = r16537 / r16557; double r16559 = r16537 * r16537; double r16560 = r16559 / r16544; double r16561 = r16560 * r16541; double r16562 = r16558 + r16561; double r16563 = r16541 * (r16541 * r16541); double r16564 = r16544 * (r16544 * r16544); double r16565 = r16564 / r16559; double r16566 = r16563 / r16565; double r16567 = r16562 + r16566; double r16568 = 0.3333333333333333; double r16569 = r16537 * (r16537 * r16537); double r16570 = r16568 * r16569; double r16571 = r16570 + r16537; double r16572 = 1.3333333333333333; double r16573 = r16572 * r16537; double r16574 = r16573 * r16559; double r16575 = r16574 / r16557; double r16576 = 4.0; double r16577 = pow(r16544, r16576); double r16578 = pow(r16541, r16576); double r16579 = r16577 / r16578; double r16580 = r16569 / r16579; double r16581 = r16575 + r16580; double r16582 = r16571 + r16581; double r16583 = r16567 + r16582; double r16584 = r16555 ? r16583 : r16553; double r16585 = r16539 ? r16553 : r16584; return r16585; } 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 r16586, r16587, r16588, r16589, r16590, r16591; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16586); mpfr_init(r16587); mpfr_init(r16588); mpfr_init(r16589); mpfr_init(r16590); mpfr_init(r16591); } double f_im(double x, double eps) { mpfr_set_d(r16586, x, MPFR_RNDN); mpfr_set_d(r16587, eps, MPFR_RNDN); mpfr_add(r16588, r16586, r16587, MPFR_RNDN); mpfr_tan(r16589, r16588, MPFR_RNDN); mpfr_tan(r16590, r16586, MPFR_RNDN); mpfr_sub(r16591, r16589, r16590, MPFR_RNDN); return mpfr_get_d(r16591, MPFR_RNDN); } static mpfr_t r16592, r16593, r16594, r16595, r16596, r16597, r16598, r16599, r16600, r16601, r16602, r16603, r16604, r16605, r16606, r16607, r16608, r16609, r16610, r16611, r16612, r16613, r16614, r16615, r16616, r16617, r16618, r16619, r16620, r16621, r16622, r16623, r16624, r16625, r16626, r16627, r16628, r16629, r16630, r16631, r16632, r16633, r16634, r16635, r16636, r16637, r16638, r16639, r16640; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16592); mpfr_init_set_str(r16593, "-5.084423344895139e-11", 10, MPFR_RNDN); mpfr_init(r16594); mpfr_init(r16595); mpfr_init(r16596); mpfr_init(r16597); mpfr_init(r16598); mpfr_init(r16599); mpfr_init(r16600); mpfr_init(r16601); mpfr_init(r16602); mpfr_init(r16603); mpfr_init(r16604); mpfr_init(r16605); mpfr_init(r16606); mpfr_init(r16607); mpfr_init(r16608); mpfr_init_set_str(r16609, "0.056213882732527594", 10, MPFR_RNDN); mpfr_init(r16610); mpfr_init(r16611); mpfr_init(r16612); mpfr_init(r16613); mpfr_init(r16614); mpfr_init(r16615); mpfr_init(r16616); mpfr_init(r16617); mpfr_init(r16618); mpfr_init(r16619); mpfr_init(r16620); mpfr_init(r16621); mpfr_init(r16622); mpfr_init_set_str(r16623, "1/3", 10, MPFR_RNDN); mpfr_init(r16624); mpfr_init(r16625); mpfr_init(r16626); mpfr_init_set_str(r16627, "4/3", 10, MPFR_RNDN); mpfr_init(r16628); mpfr_init(r16629); mpfr_init(r16630); mpfr_init_set_str(r16631, "4", 10, MPFR_RNDN); mpfr_init(r16632); mpfr_init(r16633); mpfr_init(r16634); mpfr_init(r16635); mpfr_init(r16636); mpfr_init(r16637); mpfr_init(r16638); mpfr_init(r16639); mpfr_init(r16640); } double f_fm(double x, double eps) { mpfr_set_d(r16592, eps, MPFR_RNDN); ; mpfr_set_si(r16594, mpfr_cmp(r16592, r16593) <= 0, MPFR_RNDN); mpfr_set_d(r16595, x, MPFR_RNDN); mpfr_sin(r16596, r16595, MPFR_RNDN); mpfr_cos(r16597, r16592, MPFR_RNDN); mpfr_mul(r16598, r16596, r16597, MPFR_RNDN); mpfr_cos(r16599, r16595, MPFR_RNDN); mpfr_sin(r16600, r16592, MPFR_RNDN); mpfr_mul(r16601, r16599, r16600, MPFR_RNDN); mpfr_add(r16602, r16598, r16601, MPFR_RNDN); mpfr_mul(r16603, r16599, r16597, MPFR_RNDN); mpfr_mul(r16604, r16596, r16600, MPFR_RNDN); mpfr_sub(r16605, r16603, r16604, MPFR_RNDN); mpfr_div(r16606, r16602, r16605, MPFR_RNDN); mpfr_tan(r16607, r16595, MPFR_RNDN); mpfr_sub(r16608, r16606, r16607, MPFR_RNDN); ; mpfr_set_si(r16610, mpfr_cmp(r16592, r16609) <= 0, MPFR_RNDN); mpfr_div(r16611, r16599, r16596, MPFR_RNDN); mpfr_sqr(r16612, r16611, MPFR_RNDN); mpfr_div(r16613, r16592, r16612, MPFR_RNDN); mpfr_sqr(r16614, r16592, MPFR_RNDN); mpfr_div(r16615, r16614, r16599, MPFR_RNDN); mpfr_mul(r16616, r16615, r16596, MPFR_RNDN); mpfr_add(r16617, r16613, r16616, MPFR_RNDN); mpfr_mul(r16618, r16596, r16596, MPFR_RNDN); mpfr_mul(r16618, r16618, r16596, MPFR_RNDN); mpfr_mul(r16619, r16599, r16599, MPFR_RNDN); mpfr_mul(r16619, r16619, r16599, MPFR_RNDN); mpfr_div(r16620, r16619, r16614, MPFR_RNDN); mpfr_div(r16621, r16618, r16620, MPFR_RNDN); mpfr_add(r16622, r16617, r16621, MPFR_RNDN); ; mpfr_mul(r16624, r16592, r16592, MPFR_RNDN); mpfr_mul(r16624, r16624, r16592, MPFR_RNDN); mpfr_mul(r16625, r16623, r16624, MPFR_RNDN); mpfr_add(r16626, r16625, r16592, MPFR_RNDN); ; mpfr_mul(r16628, r16627, r16592, MPFR_RNDN); mpfr_mul(r16629, r16628, r16614, MPFR_RNDN); mpfr_div(r16630, r16629, r16612, MPFR_RNDN); ; mpfr_pow(r16632, r16599, r16631, MPFR_RNDN); mpfr_pow(r16633, r16596, r16631, MPFR_RNDN); mpfr_div(r16634, r16632, r16633, MPFR_RNDN); mpfr_div(r16635, r16624, r16634, MPFR_RNDN); mpfr_add(r16636, r16630, r16635, MPFR_RNDN); mpfr_add(r16637, r16626, r16636, MPFR_RNDN); mpfr_add(r16638, r16622, r16637, MPFR_RNDN); if (mpfr_get_si(r16610, MPFR_RNDN)) { mpfr_set(r16639, r16638, MPFR_RNDN); } else { mpfr_set(r16639, r16608, MPFR_RNDN); }; if (mpfr_get_si(r16594, MPFR_RNDN)) { mpfr_set(r16640, r16608, MPFR_RNDN); } else { mpfr_set(r16640, r16639, MPFR_RNDN); }; return mpfr_get_d(r16640, MPFR_RNDN); } static mpfr_t r16641, r16642, r16643, r16644, r16645, r16646, r16647, r16648, r16649, r16650, r16651, r16652, r16653, r16654, r16655, r16656, r16657, r16658, r16659, r16660, r16661, r16662, r16663, r16664, r16665, r16666, r16667, r16668, r16669, r16670, r16671, r16672, r16673, r16674, r16675, r16676, r16677, r16678, r16679, r16680, r16681, r16682, r16683, r16684, r16685, r16686, r16687, r16688, r16689; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16641); mpfr_init_set_str(r16642, "-5.084423344895139e-11", 10, MPFR_RNDN); mpfr_init(r16643); mpfr_init(r16644); mpfr_init(r16645); mpfr_init(r16646); mpfr_init(r16647); mpfr_init(r16648); mpfr_init(r16649); mpfr_init(r16650); mpfr_init(r16651); mpfr_init(r16652); mpfr_init(r16653); mpfr_init(r16654); mpfr_init(r16655); mpfr_init(r16656); mpfr_init(r16657); mpfr_init_set_str(r16658, "0.056213882732527594", 10, MPFR_RNDN); mpfr_init(r16659); mpfr_init(r16660); mpfr_init(r16661); mpfr_init(r16662); mpfr_init(r16663); mpfr_init(r16664); mpfr_init(r16665); mpfr_init(r16666); mpfr_init(r16667); mpfr_init(r16668); mpfr_init(r16669); mpfr_init(r16670); mpfr_init(r16671); mpfr_init_set_str(r16672, "1/3", 10, MPFR_RNDN); mpfr_init(r16673); mpfr_init(r16674); mpfr_init(r16675); mpfr_init_set_str(r16676, "4/3", 10, MPFR_RNDN); mpfr_init(r16677); mpfr_init(r16678); mpfr_init(r16679); mpfr_init_set_str(r16680, "4", 10, MPFR_RNDN); mpfr_init(r16681); mpfr_init(r16682); mpfr_init(r16683); mpfr_init(r16684); mpfr_init(r16685); mpfr_init(r16686); mpfr_init(r16687); mpfr_init(r16688); mpfr_init(r16689); } double f_dm(double x, double eps) { mpfr_set_d(r16641, eps, MPFR_RNDN); ; mpfr_set_si(r16643, mpfr_cmp(r16641, r16642) <= 0, MPFR_RNDN); mpfr_set_d(r16644, x, MPFR_RNDN); mpfr_sin(r16645, r16644, MPFR_RNDN); mpfr_cos(r16646, r16641, MPFR_RNDN); mpfr_mul(r16647, r16645, r16646, MPFR_RNDN); mpfr_cos(r16648, r16644, MPFR_RNDN); mpfr_sin(r16649, r16641, MPFR_RNDN); mpfr_mul(r16650, r16648, r16649, MPFR_RNDN); mpfr_add(r16651, r16647, r16650, MPFR_RNDN); mpfr_mul(r16652, r16648, r16646, MPFR_RNDN); mpfr_mul(r16653, r16645, r16649, MPFR_RNDN); mpfr_sub(r16654, r16652, r16653, MPFR_RNDN); mpfr_div(r16655, r16651, r16654, MPFR_RNDN); mpfr_tan(r16656, r16644, MPFR_RNDN); mpfr_sub(r16657, r16655, r16656, MPFR_RNDN); ; mpfr_set_si(r16659, mpfr_cmp(r16641, r16658) <= 0, MPFR_RNDN); mpfr_div(r16660, r16648, r16645, MPFR_RNDN); mpfr_sqr(r16661, r16660, MPFR_RNDN); mpfr_div(r16662, r16641, r16661, MPFR_RNDN); mpfr_sqr(r16663, r16641, MPFR_RNDN); mpfr_div(r16664, r16663, r16648, MPFR_RNDN); mpfr_mul(r16665, r16664, r16645, MPFR_RNDN); mpfr_add(r16666, r16662, r16665, MPFR_RNDN); mpfr_mul(r16667, r16645, r16645, MPFR_RNDN); mpfr_mul(r16667, r16667, r16645, MPFR_RNDN); mpfr_mul(r16668, r16648, r16648, MPFR_RNDN); mpfr_mul(r16668, r16668, r16648, MPFR_RNDN); mpfr_div(r16669, r16668, r16663, MPFR_RNDN); mpfr_div(r16670, r16667, r16669, MPFR_RNDN); mpfr_add(r16671, r16666, r16670, MPFR_RNDN); ; mpfr_mul(r16673, r16641, r16641, MPFR_RNDN); mpfr_mul(r16673, r16673, r16641, MPFR_RNDN); mpfr_mul(r16674, r16672, r16673, MPFR_RNDN); mpfr_add(r16675, r16674, r16641, MPFR_RNDN); ; mpfr_mul(r16677, r16676, r16641, MPFR_RNDN); mpfr_mul(r16678, r16677, r16663, MPFR_RNDN); mpfr_div(r16679, r16678, r16661, MPFR_RNDN); ; mpfr_pow(r16681, r16648, r16680, MPFR_RNDN); mpfr_pow(r16682, r16645, r16680, MPFR_RNDN); mpfr_div(r16683, r16681, r16682, MPFR_RNDN); mpfr_div(r16684, r16673, r16683, MPFR_RNDN); mpfr_add(r16685, r16679, r16684, MPFR_RNDN); mpfr_add(r16686, r16675, r16685, MPFR_RNDN); mpfr_add(r16687, r16671, r16686, MPFR_RNDN); if (mpfr_get_si(r16659, MPFR_RNDN)) { mpfr_set(r16688, r16687, MPFR_RNDN); } else { mpfr_set(r16688, r16657, MPFR_RNDN); }; if (mpfr_get_si(r16643, MPFR_RNDN)) { mpfr_set(r16689, r16657, MPFR_RNDN); } else { mpfr_set(r16689, r16688, MPFR_RNDN); }; return mpfr_get_d(r16689, MPFR_RNDN); }