#include #include #include #include #include char *name = "NMSE problem 3.3.5"; double f_if(float x, float eps) { float r15391 = x; float r15392 = eps; float r15393 = r15391 + r15392; float r15394 = cos(r15393); float r15395 = cos(r15391); float r15396 = r15394 - r15395; return r15396; } double f_id(double x, double eps) { double r15397 = x; double r15398 = eps; double r15399 = r15397 + r15398; double r15400 = cos(r15399); double r15401 = cos(r15397); double r15402 = r15400 - r15401; return r15402; } double f_of(float x, float eps) { float r15403 = eps; float r15404 = -0.0010371750686317682f; bool r15405 = r15403 <= r15404; float r15406 = x; float r15407 = cos(r15406); float r15408 = cos(r15403); float r15409 = r15407 * r15408; float r15410 = r15409 * r15409; float r15411 = r15410 * r15410; float r15412 = sin(r15406); float r15413 = sin(r15403); float r15414 = r15412 * r15413; float r15415 = r15414 + r15407; float r15416 = r15415 * r15415; float r15417 = r15416 * r15416; float r15418 = r15411 - r15417; float r15419 = r15410 + r15416; float r15420 = r15418 / r15419; float r15421 = r15409 + r15415; float r15422 = r15420 / r15421; float r15423 = 0.028850536793470383f; bool r15424 = r15403 <= r15423; float r15425 = r15403 * (r15403 * r15403); float r15426 = 0.3333333432674408f; float r15427 = r15425 * r15426; float r15428 = r15412 * r15407; float r15429 = r15427 * r15428; float r15430 = r15412 * r15403; float r15431 = r15430 * r15430; float r15432 = r15429 - r15431; float r15433 = r15407 * r15403; float r15434 = 2.0f; float r15435 = r15412 * r15434; float r15436 = r15435 + r15433; float r15437 = r15433 * r15436; float r15438 = r15432 - r15437; float r15439 = r15409 + r15407; float r15440 = r15439 + r15414; float r15441 = r15438 / r15440; float r15442 = 1.0f; float r15443 = pow(r15409, r15442); float r15444 = r15443 - r15415; float r15445 = r15424 ? r15441 : r15444; float r15446 = r15405 ? r15422 : r15445; return r15446; } double f_od(double x, double eps) { double r15447 = eps; double r15448 = -0.0010371750686317682; bool r15449 = r15447 <= r15448; double r15450 = x; double r15451 = cos(r15450); double r15452 = cos(r15447); double r15453 = r15451 * r15452; double r15454 = r15453 * r15453; double r15455 = r15454 * r15454; double r15456 = sin(r15450); double r15457 = sin(r15447); double r15458 = r15456 * r15457; double r15459 = r15458 + r15451; double r15460 = r15459 * r15459; double r15461 = r15460 * r15460; double r15462 = r15455 - r15461; double r15463 = r15454 + r15460; double r15464 = r15462 / r15463; double r15465 = r15453 + r15459; double r15466 = r15464 / r15465; double r15467 = 0.028850536793470383; bool r15468 = r15447 <= r15467; double r15469 = r15447 * (r15447 * r15447); double r15470 = 0.3333333432674408; double r15471 = r15469 * r15470; double r15472 = r15456 * r15451; double r15473 = r15471 * r15472; double r15474 = r15456 * r15447; double r15475 = r15474 * r15474; double r15476 = r15473 - r15475; double r15477 = r15451 * r15447; double r15478 = 2.0; double r15479 = r15456 * r15478; double r15480 = r15479 + r15477; double r15481 = r15477 * r15480; double r15482 = r15476 - r15481; double r15483 = r15453 + r15451; double r15484 = r15483 + r15458; double r15485 = r15482 / r15484; double r15486 = 1.0; double r15487 = pow(r15453, r15486); double r15488 = r15487 - r15459; double r15489 = r15468 ? r15485 : r15488; double r15490 = r15449 ? r15466 : r15489; return r15490; } 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 r15491, r15492, r15493, r15494, r15495, r15496; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r15491); mpfr_init(r15492); mpfr_init(r15493); mpfr_init(r15494); mpfr_init(r15495); mpfr_init(r15496); } double f_im(double x, double eps) { mpfr_set_d(r15491, x, MPFR_RNDN); mpfr_set_d(r15492, eps, MPFR_RNDN); mpfr_add(r15493, r15491, r15492, MPFR_RNDN); mpfr_cos(r15494, r15493, MPFR_RNDN); mpfr_cos(r15495, r15491, MPFR_RNDN); mpfr_sub(r15496, r15494, r15495, MPFR_RNDN); return mpfr_get_d(r15496, MPFR_RNDN); } static mpfr_t 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, r15533, r15534, r15535, r15536, r15537, r15538, r15539, r15540; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r15497); mpfr_init_set_str(r15498, "-0.0010371751f0", 10, MPFR_RNDN); 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(r15515); mpfr_init(r15516); mpfr_init_set_str(r15517, "0.028850537f0", 10, MPFR_RNDN); mpfr_init(r15518); mpfr_init(r15519); mpfr_init_set_str(r15520, "1/3", 10, MPFR_RNDN); mpfr_init(r15521); mpfr_init(r15522); mpfr_init(r15523); mpfr_init(r15524); mpfr_init(r15525); mpfr_init(r15526); mpfr_init(r15527); mpfr_init_set_str(r15528, "2", 10, MPFR_RNDN); mpfr_init(r15529); mpfr_init(r15530); mpfr_init(r15531); mpfr_init(r15532); mpfr_init(r15533); mpfr_init(r15534); mpfr_init(r15535); mpfr_init_set_str(r15536, "1", 10, MPFR_RNDN); mpfr_init(r15537); mpfr_init(r15538); mpfr_init(r15539); mpfr_init(r15540); } double f_fm(double x, double eps) { mpfr_set_d(r15497, eps, MPFR_RNDN); ; mpfr_set_si(r15499, mpfr_cmp(r15497, r15498) <= 0, MPFR_RNDN); mpfr_set_d(r15500, x, MPFR_RNDN); mpfr_cos(r15501, r15500, MPFR_RNDN); mpfr_cos(r15502, r15497, MPFR_RNDN); mpfr_mul(r15503, r15501, r15502, MPFR_RNDN); mpfr_sqr(r15504, r15503, MPFR_RNDN); mpfr_sqr(r15505, r15504, MPFR_RNDN); mpfr_sin(r15506, r15500, MPFR_RNDN); mpfr_sin(r15507, r15497, MPFR_RNDN); mpfr_mul(r15508, r15506, r15507, MPFR_RNDN); mpfr_add(r15509, r15508, r15501, MPFR_RNDN); mpfr_sqr(r15510, r15509, MPFR_RNDN); mpfr_sqr(r15511, r15510, MPFR_RNDN); mpfr_sub(r15512, r15505, r15511, MPFR_RNDN); mpfr_add(r15513, r15504, r15510, MPFR_RNDN); mpfr_div(r15514, r15512, r15513, MPFR_RNDN); mpfr_add(r15515, r15503, r15509, MPFR_RNDN); mpfr_div(r15516, r15514, r15515, MPFR_RNDN); ; mpfr_set_si(r15518, mpfr_cmp(r15497, r15517) <= 0, MPFR_RNDN); mpfr_mul(r15519, r15497, r15497, MPFR_RNDN); mpfr_mul(r15519, r15519, r15497, MPFR_RNDN); ; mpfr_mul(r15521, r15519, r15520, MPFR_RNDN); mpfr_mul(r15522, r15506, r15501, MPFR_RNDN); mpfr_mul(r15523, r15521, r15522, MPFR_RNDN); mpfr_mul(r15524, r15506, r15497, MPFR_RNDN); mpfr_mul(r15525, r15524, r15524, MPFR_RNDN); mpfr_sub(r15526, r15523, r15525, MPFR_RNDN); mpfr_mul(r15527, r15501, r15497, MPFR_RNDN); ; mpfr_mul(r15529, r15506, r15528, MPFR_RNDN); mpfr_add(r15530, r15529, r15527, MPFR_RNDN); mpfr_mul(r15531, r15527, r15530, MPFR_RNDN); mpfr_sub(r15532, r15526, r15531, MPFR_RNDN); mpfr_add(r15533, r15503, r15501, MPFR_RNDN); mpfr_add(r15534, r15533, r15508, MPFR_RNDN); mpfr_div(r15535, r15532, r15534, MPFR_RNDN); ; mpfr_pow(r15537, r15503, r15536, MPFR_RNDN); mpfr_sub(r15538, r15537, r15509, MPFR_RNDN); if (mpfr_get_si(r15518, MPFR_RNDN)) { mpfr_set(r15539, r15535, MPFR_RNDN); } else { mpfr_set(r15539, r15538, MPFR_RNDN); }; if (mpfr_get_si(r15499, MPFR_RNDN)) { mpfr_set(r15540, r15516, MPFR_RNDN); } else { mpfr_set(r15540, r15539, MPFR_RNDN); }; return mpfr_get_d(r15540, MPFR_RNDN); } static mpfr_t 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, r15577, r15578, r15579, r15580, r15581, r15582, r15583, r15584; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r15541); mpfr_init_set_str(r15542, "-0.0010371751f0", 10, MPFR_RNDN); 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(r15559); mpfr_init(r15560); mpfr_init_set_str(r15561, "0.028850537f0", 10, MPFR_RNDN); mpfr_init(r15562); mpfr_init(r15563); mpfr_init_set_str(r15564, "1/3", 10, MPFR_RNDN); mpfr_init(r15565); mpfr_init(r15566); mpfr_init(r15567); mpfr_init(r15568); mpfr_init(r15569); mpfr_init(r15570); mpfr_init(r15571); mpfr_init_set_str(r15572, "2", 10, MPFR_RNDN); mpfr_init(r15573); mpfr_init(r15574); mpfr_init(r15575); mpfr_init(r15576); mpfr_init(r15577); mpfr_init(r15578); mpfr_init(r15579); mpfr_init_set_str(r15580, "1", 10, MPFR_RNDN); mpfr_init(r15581); mpfr_init(r15582); mpfr_init(r15583); mpfr_init(r15584); } double f_dm(double x, double eps) { mpfr_set_d(r15541, eps, MPFR_RNDN); ; mpfr_set_si(r15543, mpfr_cmp(r15541, r15542) <= 0, MPFR_RNDN); mpfr_set_d(r15544, x, MPFR_RNDN); mpfr_cos(r15545, r15544, MPFR_RNDN); mpfr_cos(r15546, r15541, MPFR_RNDN); mpfr_mul(r15547, r15545, r15546, MPFR_RNDN); mpfr_sqr(r15548, r15547, MPFR_RNDN); mpfr_sqr(r15549, r15548, MPFR_RNDN); mpfr_sin(r15550, r15544, MPFR_RNDN); mpfr_sin(r15551, r15541, MPFR_RNDN); mpfr_mul(r15552, r15550, r15551, MPFR_RNDN); mpfr_add(r15553, r15552, r15545, MPFR_RNDN); mpfr_sqr(r15554, r15553, MPFR_RNDN); mpfr_sqr(r15555, r15554, MPFR_RNDN); mpfr_sub(r15556, r15549, r15555, MPFR_RNDN); mpfr_add(r15557, r15548, r15554, MPFR_RNDN); mpfr_div(r15558, r15556, r15557, MPFR_RNDN); mpfr_add(r15559, r15547, r15553, MPFR_RNDN); mpfr_div(r15560, r15558, r15559, MPFR_RNDN); ; mpfr_set_si(r15562, mpfr_cmp(r15541, r15561) <= 0, MPFR_RNDN); mpfr_mul(r15563, r15541, r15541, MPFR_RNDN); mpfr_mul(r15563, r15563, r15541, MPFR_RNDN); ; mpfr_mul(r15565, r15563, r15564, MPFR_RNDN); mpfr_mul(r15566, r15550, r15545, MPFR_RNDN); mpfr_mul(r15567, r15565, r15566, MPFR_RNDN); mpfr_mul(r15568, r15550, r15541, MPFR_RNDN); mpfr_mul(r15569, r15568, r15568, MPFR_RNDN); mpfr_sub(r15570, r15567, r15569, MPFR_RNDN); mpfr_mul(r15571, r15545, r15541, MPFR_RNDN); ; mpfr_mul(r15573, r15550, r15572, MPFR_RNDN); mpfr_add(r15574, r15573, r15571, MPFR_RNDN); mpfr_mul(r15575, r15571, r15574, MPFR_RNDN); mpfr_sub(r15576, r15570, r15575, MPFR_RNDN); mpfr_add(r15577, r15547, r15545, MPFR_RNDN); mpfr_add(r15578, r15577, r15552, MPFR_RNDN); mpfr_div(r15579, r15576, r15578, MPFR_RNDN); ; mpfr_pow(r15581, r15547, r15580, MPFR_RNDN); mpfr_sub(r15582, r15581, r15553, MPFR_RNDN); if (mpfr_get_si(r15562, MPFR_RNDN)) { mpfr_set(r15583, r15579, MPFR_RNDN); } else { mpfr_set(r15583, r15582, MPFR_RNDN); }; if (mpfr_get_si(r15543, MPFR_RNDN)) { mpfr_set(r15584, r15560, MPFR_RNDN); } else { mpfr_set(r15584, r15583, MPFR_RNDN); }; return mpfr_get_d(r15584, MPFR_RNDN); }