#include #include #include #include #include char *name = "NMSE problem 3.3.5"; double f_if(float x, float eps) { float r15383 = x; float r15384 = eps; float r15385 = r15383 + r15384; float r15386 = cos(r15385); float r15387 = cos(r15383); float r15388 = r15386 - r15387; return r15388; } double f_id(double x, double eps) { double r15389 = x; double r15390 = eps; double r15391 = r15389 + r15390; double r15392 = cos(r15391); double r15393 = cos(r15389); double r15394 = r15392 - r15393; return r15394; } double f_of(float x, float eps) { float r15395 = eps; float r15396 = -0.005046405829489231f; bool r15397 = r15395 <= r15396; float r15398 = cos(r15395); float r15399 = x; float r15400 = cos(r15399); float r15401 = r15398 * r15400; float r15402 = r15401 * (r15401 * r15401); float r15403 = r15402 * r15402; float r15404 = sin(r15399); float r15405 = sin(r15395); float r15406 = r15404 * r15405; float r15407 = r15400 + r15406; float r15408 = r15407 * (r15407 * r15407); float r15409 = r15408 * r15408; float r15410 = r15403 - r15409; float r15411 = r15402 + r15408; float r15412 = r15410 / r15411; float r15413 = r15400 * r15398; float r15414 = r15413 * r15413; float r15415 = r15406 + r15400; float r15416 = r15415 * r15415; float r15417 = r15413 * r15415; float r15418 = r15416 + r15417; float r15419 = r15414 + r15418; float r15420 = r15412 / r15419; float r15421 = 0.2022428959608078f; bool r15422 = r15395 <= r15421; float r15423 = 0.1666666716337204f; float r15424 = r15395 * r15423; float r15425 = r15404 * r15424; float r15426 = 0.5f; float r15427 = r15426 * r15400; float r15428 = r15425 - r15427; float r15429 = r15395 * r15395; float r15430 = r15428 * r15429; float r15431 = r15395 * r15404; float r15432 = r15430 - r15431; float r15433 = 3.0f; float r15434 = pow(r15401, r15433); float r15435 = r15434 - r15408; float r15436 = r15435 / r15419; float r15437 = r15422 ? r15432 : r15436; float r15438 = r15397 ? r15420 : r15437; return r15438; } double f_od(double x, double eps) { double r15439 = eps; double r15440 = -0.005046405829489231; bool r15441 = r15439 <= r15440; double r15442 = cos(r15439); double r15443 = x; double r15444 = cos(r15443); double r15445 = r15442 * r15444; double r15446 = r15445 * (r15445 * r15445); double r15447 = r15446 * r15446; double r15448 = sin(r15443); double r15449 = sin(r15439); double r15450 = r15448 * r15449; double r15451 = r15444 + r15450; double r15452 = r15451 * (r15451 * r15451); double r15453 = r15452 * r15452; double r15454 = r15447 - r15453; double r15455 = r15446 + r15452; double r15456 = r15454 / r15455; double r15457 = r15444 * r15442; double r15458 = r15457 * r15457; double r15459 = r15450 + r15444; double r15460 = r15459 * r15459; double r15461 = r15457 * r15459; double r15462 = r15460 + r15461; double r15463 = r15458 + r15462; double r15464 = r15456 / r15463; double r15465 = 0.2022428959608078; bool r15466 = r15439 <= r15465; double r15467 = 0.1666666716337204; double r15468 = r15439 * r15467; double r15469 = r15448 * r15468; double r15470 = 0.5; double r15471 = r15470 * r15444; double r15472 = r15469 - r15471; double r15473 = r15439 * r15439; double r15474 = r15472 * r15473; double r15475 = r15439 * r15448; double r15476 = r15474 - r15475; double r15477 = 3.0; double r15478 = pow(r15445, r15477); double r15479 = r15478 - r15452; double r15480 = r15479 / r15463; double r15481 = r15466 ? r15476 : r15480; double r15482 = r15441 ? r15464 : r15481; return r15482; } 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 r15483, r15484, r15485, r15486, r15487, r15488; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r15483); mpfr_init(r15484); mpfr_init(r15485); mpfr_init(r15486); mpfr_init(r15487); mpfr_init(r15488); } double f_im(double x, double eps) { mpfr_set_d(r15483, x, MPFR_RNDN); mpfr_set_d(r15484, eps, MPFR_RNDN); mpfr_add(r15485, r15483, r15484, MPFR_RNDN); mpfr_cos(r15486, r15485, MPFR_RNDN); mpfr_cos(r15487, r15483, MPFR_RNDN); mpfr_sub(r15488, r15486, r15487, MPFR_RNDN); return mpfr_get_d(r15488, MPFR_RNDN); } static mpfr_t r15489, r15490, r15491, r15492, r15493, r15494, r15495, r15496, r15497, r15498, r15499, r15500, r15501, r15502, r15503, r15504, r15505, r15506, r15507, r15508, r15509, r15510, r15511, r15512, r15513, r15514, r15515, r15516, r15517, r15518, r15519, r15520, r15521, r15522, r15523, r15524, r15525, r15526, r15527, r15528, r15529, r15530, r15531, r15532; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r15489); mpfr_init_set_str(r15490, "-0.005046406f0", 10, MPFR_RNDN); mpfr_init(r15491); mpfr_init(r15492); mpfr_init(r15493); mpfr_init(r15494); mpfr_init(r15495); mpfr_init(r15496); mpfr_init(r15497); mpfr_init(r15498); mpfr_init(r15499); mpfr_init(r15500); mpfr_init(r15501); mpfr_init(r15502); mpfr_init(r15503); mpfr_init(r15504); mpfr_init(r15505); mpfr_init(r15506); mpfr_init(r15507); mpfr_init(r15508); mpfr_init(r15509); mpfr_init(r15510); mpfr_init(r15511); mpfr_init(r15512); mpfr_init(r15513); mpfr_init(r15514); mpfr_init_set_str(r15515, "0.2022429f0", 10, MPFR_RNDN); mpfr_init(r15516); mpfr_init_set_str(r15517, "1/6", 10, MPFR_RNDN); mpfr_init(r15518); mpfr_init(r15519); mpfr_init_set_str(r15520, "1/2", 10, MPFR_RNDN); mpfr_init(r15521); mpfr_init(r15522); mpfr_init(r15523); mpfr_init(r15524); mpfr_init(r15525); mpfr_init(r15526); mpfr_init_set_str(r15527, "3", 10, MPFR_RNDN); mpfr_init(r15528); mpfr_init(r15529); mpfr_init(r15530); mpfr_init(r15531); mpfr_init(r15532); } double f_fm(double x, double eps) { mpfr_set_d(r15489, eps, MPFR_RNDN); ; mpfr_set_si(r15491, mpfr_cmp(r15489, r15490) <= 0, MPFR_RNDN); mpfr_cos(r15492, r15489, MPFR_RNDN); mpfr_set_d(r15493, x, MPFR_RNDN); mpfr_cos(r15494, r15493, MPFR_RNDN); mpfr_mul(r15495, r15492, r15494, MPFR_RNDN); mpfr_mul(r15496, r15495, r15495, MPFR_RNDN); mpfr_mul(r15496, r15496, r15495, MPFR_RNDN); mpfr_sqr(r15497, r15496, MPFR_RNDN); mpfr_sin(r15498, r15493, MPFR_RNDN); mpfr_sin(r15499, r15489, MPFR_RNDN); mpfr_mul(r15500, r15498, r15499, MPFR_RNDN); mpfr_add(r15501, r15494, r15500, MPFR_RNDN); mpfr_mul(r15502, r15501, r15501, MPFR_RNDN); mpfr_mul(r15502, r15502, r15501, MPFR_RNDN); mpfr_sqr(r15503, r15502, MPFR_RNDN); mpfr_sub(r15504, r15497, r15503, MPFR_RNDN); mpfr_add(r15505, r15496, r15502, MPFR_RNDN); mpfr_div(r15506, r15504, r15505, MPFR_RNDN); mpfr_mul(r15507, r15494, r15492, MPFR_RNDN); mpfr_sqr(r15508, r15507, MPFR_RNDN); mpfr_add(r15509, r15500, r15494, MPFR_RNDN); mpfr_sqr(r15510, r15509, MPFR_RNDN); mpfr_mul(r15511, r15507, r15509, MPFR_RNDN); mpfr_add(r15512, r15510, r15511, MPFR_RNDN); mpfr_add(r15513, r15508, r15512, MPFR_RNDN); mpfr_div(r15514, r15506, r15513, MPFR_RNDN); ; mpfr_set_si(r15516, mpfr_cmp(r15489, r15515) <= 0, MPFR_RNDN); ; mpfr_mul(r15518, r15489, r15517, MPFR_RNDN); mpfr_mul(r15519, r15498, r15518, MPFR_RNDN); ; mpfr_mul(r15521, r15520, r15494, MPFR_RNDN); mpfr_sub(r15522, r15519, r15521, MPFR_RNDN); mpfr_mul(r15523, r15489, r15489, MPFR_RNDN); mpfr_mul(r15524, r15522, r15523, MPFR_RNDN); mpfr_mul(r15525, r15489, r15498, MPFR_RNDN); mpfr_sub(r15526, r15524, r15525, MPFR_RNDN); ; mpfr_pow(r15528, r15495, r15527, MPFR_RNDN); mpfr_sub(r15529, r15528, r15502, MPFR_RNDN); mpfr_div(r15530, r15529, r15513, MPFR_RNDN); if (mpfr_get_si(r15516, MPFR_RNDN)) { mpfr_set(r15531, r15526, MPFR_RNDN); } else { mpfr_set(r15531, r15530, MPFR_RNDN); }; if (mpfr_get_si(r15491, MPFR_RNDN)) { mpfr_set(r15532, r15514, MPFR_RNDN); } else { mpfr_set(r15532, r15531, MPFR_RNDN); }; return mpfr_get_d(r15532, MPFR_RNDN); } static mpfr_t r15533, r15534, r15535, r15536, r15537, r15538, r15539, r15540, r15541, r15542, r15543, r15544, r15545, r15546, r15547, r15548, r15549, r15550, r15551, r15552, r15553, r15554, r15555, r15556, r15557, r15558, r15559, r15560, r15561, r15562, r15563, r15564, r15565, r15566, r15567, r15568, r15569, r15570, r15571, r15572, r15573, r15574, r15575, r15576; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r15533); mpfr_init_set_str(r15534, "-0.005046406f0", 10, MPFR_RNDN); mpfr_init(r15535); mpfr_init(r15536); mpfr_init(r15537); mpfr_init(r15538); mpfr_init(r15539); mpfr_init(r15540); mpfr_init(r15541); mpfr_init(r15542); mpfr_init(r15543); mpfr_init(r15544); mpfr_init(r15545); mpfr_init(r15546); mpfr_init(r15547); mpfr_init(r15548); mpfr_init(r15549); mpfr_init(r15550); mpfr_init(r15551); mpfr_init(r15552); mpfr_init(r15553); mpfr_init(r15554); mpfr_init(r15555); mpfr_init(r15556); mpfr_init(r15557); mpfr_init(r15558); mpfr_init_set_str(r15559, "0.2022429f0", 10, MPFR_RNDN); mpfr_init(r15560); mpfr_init_set_str(r15561, "1/6", 10, MPFR_RNDN); mpfr_init(r15562); mpfr_init(r15563); mpfr_init_set_str(r15564, "1/2", 10, MPFR_RNDN); mpfr_init(r15565); mpfr_init(r15566); mpfr_init(r15567); mpfr_init(r15568); mpfr_init(r15569); mpfr_init(r15570); mpfr_init_set_str(r15571, "3", 10, MPFR_RNDN); mpfr_init(r15572); mpfr_init(r15573); mpfr_init(r15574); mpfr_init(r15575); mpfr_init(r15576); } double f_dm(double x, double eps) { mpfr_set_d(r15533, eps, MPFR_RNDN); ; mpfr_set_si(r15535, mpfr_cmp(r15533, r15534) <= 0, MPFR_RNDN); mpfr_cos(r15536, r15533, MPFR_RNDN); mpfr_set_d(r15537, x, MPFR_RNDN); mpfr_cos(r15538, r15537, MPFR_RNDN); mpfr_mul(r15539, r15536, r15538, MPFR_RNDN); mpfr_mul(r15540, r15539, r15539, MPFR_RNDN); mpfr_mul(r15540, r15540, r15539, MPFR_RNDN); mpfr_sqr(r15541, r15540, MPFR_RNDN); mpfr_sin(r15542, r15537, MPFR_RNDN); mpfr_sin(r15543, r15533, MPFR_RNDN); mpfr_mul(r15544, r15542, r15543, MPFR_RNDN); mpfr_add(r15545, r15538, r15544, MPFR_RNDN); mpfr_mul(r15546, r15545, r15545, MPFR_RNDN); mpfr_mul(r15546, r15546, r15545, MPFR_RNDN); mpfr_sqr(r15547, r15546, MPFR_RNDN); mpfr_sub(r15548, r15541, r15547, MPFR_RNDN); mpfr_add(r15549, r15540, r15546, MPFR_RNDN); mpfr_div(r15550, r15548, r15549, MPFR_RNDN); mpfr_mul(r15551, r15538, r15536, MPFR_RNDN); mpfr_sqr(r15552, r15551, MPFR_RNDN); mpfr_add(r15553, r15544, r15538, MPFR_RNDN); mpfr_sqr(r15554, r15553, MPFR_RNDN); mpfr_mul(r15555, r15551, r15553, MPFR_RNDN); mpfr_add(r15556, r15554, r15555, MPFR_RNDN); mpfr_add(r15557, r15552, r15556, MPFR_RNDN); mpfr_div(r15558, r15550, r15557, MPFR_RNDN); ; mpfr_set_si(r15560, mpfr_cmp(r15533, r15559) <= 0, MPFR_RNDN); ; mpfr_mul(r15562, r15533, r15561, MPFR_RNDN); mpfr_mul(r15563, r15542, r15562, MPFR_RNDN); ; mpfr_mul(r15565, r15564, r15538, MPFR_RNDN); mpfr_sub(r15566, r15563, r15565, MPFR_RNDN); mpfr_mul(r15567, r15533, r15533, MPFR_RNDN); mpfr_mul(r15568, r15566, r15567, MPFR_RNDN); mpfr_mul(r15569, r15533, r15542, MPFR_RNDN); mpfr_sub(r15570, r15568, r15569, MPFR_RNDN); ; mpfr_pow(r15572, r15539, r15571, MPFR_RNDN); mpfr_sub(r15573, r15572, r15546, MPFR_RNDN); mpfr_div(r15574, r15573, r15557, MPFR_RNDN); if (mpfr_get_si(r15560, MPFR_RNDN)) { mpfr_set(r15575, r15570, MPFR_RNDN); } else { mpfr_set(r15575, r15574, MPFR_RNDN); }; if (mpfr_get_si(r15535, MPFR_RNDN)) { mpfr_set(r15576, r15558, MPFR_RNDN); } else { mpfr_set(r15576, r15575, MPFR_RNDN); }; return mpfr_get_d(r15576, MPFR_RNDN); }