#include #include #include #include #include char *name = "NMSE Section 6.1 mentioned, A"; double f_if(float x, float eps) { float r15416 = 1.0f; float r15417 = eps; float r15418 = r15416 / r15417; float r15419 = r15416 + r15418; float r15420 = r15416 - r15417; float r15421 = x; float r15422 = r15420 * r15421; float r15423 = -r15422; float r15424 = exp(r15423); float r15425 = r15419 * r15424; float r15426 = r15418 - r15416; float r15427 = r15416 + r15417; float r15428 = r15427 * r15421; float r15429 = -r15428; float r15430 = exp(r15429); float r15431 = r15426 * r15430; float r15432 = r15425 - r15431; float r15433 = 2.0f; float r15434 = r15432 / r15433; return r15434; } double f_id(double x, double eps) { double r15435 = 1.0; double r15436 = eps; double r15437 = r15435 / r15436; double r15438 = r15435 + r15437; double r15439 = r15435 - r15436; double r15440 = x; double r15441 = r15439 * r15440; double r15442 = -r15441; double r15443 = exp(r15442); double r15444 = r15438 * r15443; double r15445 = r15437 - r15435; double r15446 = r15435 + r15436; double r15447 = r15446 * r15440; double r15448 = -r15447; double r15449 = exp(r15448); double r15450 = r15445 * r15449; double r15451 = r15444 - r15450; double r15452 = 2.0; double r15453 = r15451 / r15452; return r15453; } double f_of(float x, float eps) { float r15454 = x; float r15455 = 1900404.342977934f; bool r15456 = r15454 <= r15455; float r15457 = 1.0f; float r15458 = eps; float r15459 = r15457 / r15458; float r15460 = r15457 + r15459; float r15461 = r15457 - r15458; float r15462 = r15461 * r15454; float r15463 = -r15462; float r15464 = exp(r15463); float r15465 = r15460 * r15464; float r15466 = r15459 - r15457; float r15467 = -r15466; float r15468 = fma(r15458, r15454, r15454); float r15469 = exp(r15468); float r15470 = r15467 / r15469; float r15471 = r15465 + r15470; float r15472 = 2.0f; float r15473 = r15471 / r15472; float r15474 = r15456 ? r15457 : r15473; return r15474; } double f_od(double x, double eps) { double r15475 = x; double r15476 = 1900404.342977934; bool r15477 = r15475 <= r15476; double r15478 = 1.0; double r15479 = eps; double r15480 = r15478 / r15479; double r15481 = r15478 + r15480; double r15482 = r15478 - r15479; double r15483 = r15482 * r15475; double r15484 = -r15483; double r15485 = exp(r15484); double r15486 = r15481 * r15485; double r15487 = r15480 - r15478; double r15488 = -r15487; double r15489 = fma(r15479, r15475, r15475); double r15490 = exp(r15489); double r15491 = r15488 / r15490; double r15492 = r15486 + r15491; double r15493 = 2.0; double r15494 = r15492 / r15493; double r15495 = r15477 ? r15478 : r15494; return r15495; } 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 r15496, r15497, r15498, r15499, r15500, r15501, r15502, r15503, r15504, r15505, r15506, r15507, r15508, r15509, r15510, r15511, r15512, r15513, r15514; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init_set_str(r15496, "1", 10, MPFR_RNDN); 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_set_str(r15513, "2", 10, MPFR_RNDN); mpfr_init(r15514); } double f_im(double x, double eps) { ; mpfr_set_d(r15497, eps, MPFR_RNDN); mpfr_div(r15498, r15496, r15497, MPFR_RNDN); mpfr_add(r15499, r15496, r15498, MPFR_RNDN); mpfr_sub(r15500, r15496, r15497, MPFR_RNDN); mpfr_set_d(r15501, x, MPFR_RNDN); mpfr_mul(r15502, r15500, r15501, MPFR_RNDN); mpfr_neg(r15503, r15502, MPFR_RNDN); mpfr_exp(r15504, r15503, MPFR_RNDN); mpfr_mul(r15505, r15499, r15504, MPFR_RNDN); mpfr_sub(r15506, r15498, r15496, MPFR_RNDN); mpfr_add(r15507, r15496, r15497, MPFR_RNDN); mpfr_mul(r15508, r15507, r15501, MPFR_RNDN); mpfr_neg(r15509, r15508, MPFR_RNDN); mpfr_exp(r15510, r15509, MPFR_RNDN); mpfr_mul(r15511, r15506, r15510, MPFR_RNDN); mpfr_sub(r15512, r15505, r15511, MPFR_RNDN); ; mpfr_div(r15514, r15512, r15513, MPFR_RNDN); return mpfr_get_d(r15514, MPFR_RNDN); } static mpfr_t r15515, r15516, r15517, r15518, r15519, r15520, r15521, r15522, r15523, r15524, r15525, r15526, r15527, r15528, r15529, r15530, r15531, r15532, r15533, r15534, r15535; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r15515); mpfr_init_set_str(r15516, "1900404.342977934", 10, MPFR_RNDN); mpfr_init(r15517); mpfr_init_set_str(r15518, "1", 10, MPFR_RNDN); mpfr_init(r15519); mpfr_init(r15520); mpfr_init(r15521); mpfr_init(r15522); mpfr_init(r15523); mpfr_init(r15524); mpfr_init(r15525); mpfr_init(r15526); mpfr_init(r15527); mpfr_init(r15528); mpfr_init(r15529); mpfr_init(r15530); mpfr_init(r15531); mpfr_init(r15532); mpfr_init_set_str(r15533, "2", 10, MPFR_RNDN); mpfr_init(r15534); mpfr_init(r15535); } double f_fm(double x, double eps) { mpfr_set_d(r15515, x, MPFR_RNDN); ; mpfr_set_si(r15517, mpfr_cmp(r15515, r15516) <= 0, MPFR_RNDN); ; mpfr_set_d(r15519, eps, MPFR_RNDN); mpfr_div(r15520, r15518, r15519, MPFR_RNDN); mpfr_add(r15521, r15518, r15520, MPFR_RNDN); mpfr_sub(r15522, r15518, r15519, MPFR_RNDN); mpfr_mul(r15523, r15522, r15515, MPFR_RNDN); mpfr_neg(r15524, r15523, MPFR_RNDN); mpfr_exp(r15525, r15524, MPFR_RNDN); mpfr_mul(r15526, r15521, r15525, MPFR_RNDN); mpfr_sub(r15527, r15520, r15518, MPFR_RNDN); mpfr_neg(r15528, r15527, MPFR_RNDN); mpfr_fma(r15529, r15519, r15515, r15515, MPFR_RNDN); mpfr_exp(r15530, r15529, MPFR_RNDN); mpfr_div(r15531, r15528, r15530, MPFR_RNDN); mpfr_add(r15532, r15526, r15531, MPFR_RNDN); ; mpfr_div(r15534, r15532, r15533, MPFR_RNDN); if (mpfr_get_si(r15517, MPFR_RNDN)) { mpfr_set(r15535, r15518, MPFR_RNDN); } else { mpfr_set(r15535, r15534, MPFR_RNDN); }; return mpfr_get_d(r15535, MPFR_RNDN); } static mpfr_t r15536, r15537, r15538, r15539, r15540, r15541, r15542, r15543, r15544, r15545, r15546, r15547, r15548, r15549, r15550, r15551, r15552, r15553, r15554, r15555, r15556; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r15536); mpfr_init_set_str(r15537, "1900404.342977934", 10, MPFR_RNDN); mpfr_init(r15538); mpfr_init_set_str(r15539, "1", 10, MPFR_RNDN); 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_set_str(r15554, "2", 10, MPFR_RNDN); mpfr_init(r15555); mpfr_init(r15556); } double f_dm(double x, double eps) { mpfr_set_d(r15536, x, MPFR_RNDN); ; mpfr_set_si(r15538, mpfr_cmp(r15536, r15537) <= 0, MPFR_RNDN); ; mpfr_set_d(r15540, eps, MPFR_RNDN); mpfr_div(r15541, r15539, r15540, MPFR_RNDN); mpfr_add(r15542, r15539, r15541, MPFR_RNDN); mpfr_sub(r15543, r15539, r15540, MPFR_RNDN); mpfr_mul(r15544, r15543, r15536, MPFR_RNDN); mpfr_neg(r15545, r15544, MPFR_RNDN); mpfr_exp(r15546, r15545, MPFR_RNDN); mpfr_mul(r15547, r15542, r15546, MPFR_RNDN); mpfr_sub(r15548, r15541, r15539, MPFR_RNDN); mpfr_neg(r15549, r15548, MPFR_RNDN); mpfr_fma(r15550, r15540, r15536, r15536, MPFR_RNDN); mpfr_exp(r15551, r15550, MPFR_RNDN); mpfr_div(r15552, r15549, r15551, MPFR_RNDN); mpfr_add(r15553, r15547, r15552, MPFR_RNDN); ; mpfr_div(r15555, r15553, r15554, MPFR_RNDN); if (mpfr_get_si(r15538, MPFR_RNDN)) { mpfr_set(r15556, r15539, MPFR_RNDN); } else { mpfr_set(r15556, r15555, MPFR_RNDN); }; return mpfr_get_d(r15556, MPFR_RNDN); }