#include #include #include #include #include char *name = "NMSE example 3.3"; double f_if(float x, float eps) { float r17488 = x; float r17489 = eps; float r17490 = r17488 + r17489; float r17491 = sin(r17490); float r17492 = sin(r17488); float r17493 = r17491 - r17492; return r17493; } double f_id(double x, double eps) { double r17494 = x; double r17495 = eps; double r17496 = r17494 + r17495; double r17497 = sin(r17496); double r17498 = sin(r17494); double r17499 = r17497 - r17498; return r17499; } double f_of(float x, float eps) { float r17500 = eps; float r17501 = -1.5175483707585876e-61f; bool r17502 = r17500 <= r17501; float r17503 = sin(r17500); float r17504 = x; float r17505 = cos(r17504); float r17506 = r17503 * r17505; float r17507 = cos(r17500); float r17508 = sin(r17504); float r17509 = r17507 * r17508; float r17510 = r17506 + r17509; float r17511 = r17510 * (r17510 * r17510); float r17512 = r17508 * (r17508 * r17508); float r17513 = r17511 - r17512; float r17514 = r17508 * r17507; float r17515 = r17505 * r17503; float r17516 = r17514 + r17515; float r17517 = r17516 * r17516; float r17518 = r17508 * r17508; float r17519 = r17516 * r17508; float r17520 = r17518 + r17519; float r17521 = r17517 + r17520; float r17522 = r17513 / r17521; float r17523 = 2.331749649630336e-18f; bool r17524 = r17500 <= r17523; float r17525 = 0.5f; float r17526 = r17500 + r17504; float r17527 = r17504 * r17500; float r17528 = r17526 * r17527; float r17529 = r17525 * r17528; float r17530 = r17500 - r17529; float r17531 = r17524 ? r17530 : r17522; float r17532 = r17502 ? r17522 : r17531; return r17532; } double f_od(double x, double eps) { double r17533 = eps; double r17534 = -1.5175483707585876e-61; bool r17535 = r17533 <= r17534; double r17536 = sin(r17533); double r17537 = x; double r17538 = cos(r17537); double r17539 = r17536 * r17538; double r17540 = cos(r17533); double r17541 = sin(r17537); double r17542 = r17540 * r17541; double r17543 = r17539 + r17542; double r17544 = r17543 * (r17543 * r17543); double r17545 = r17541 * (r17541 * r17541); double r17546 = r17544 - r17545; double r17547 = r17541 * r17540; double r17548 = r17538 * r17536; double r17549 = r17547 + r17548; double r17550 = r17549 * r17549; double r17551 = r17541 * r17541; double r17552 = r17549 * r17541; double r17553 = r17551 + r17552; double r17554 = r17550 + r17553; double r17555 = r17546 / r17554; double r17556 = 2.331749649630336e-18; bool r17557 = r17533 <= r17556; double r17558 = 0.5; double r17559 = r17533 + r17537; double r17560 = r17537 * r17533; double r17561 = r17559 * r17560; double r17562 = r17558 * r17561; double r17563 = r17533 - r17562; double r17564 = r17557 ? r17563 : r17555; double r17565 = r17535 ? r17555 : r17564; return r17565; } 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 r17566, r17567, r17568, r17569, r17570, r17571; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r17566); mpfr_init(r17567); mpfr_init(r17568); mpfr_init(r17569); mpfr_init(r17570); mpfr_init(r17571); } double f_im(double x, double eps) { mpfr_set_d(r17566, x, MPFR_RNDN); mpfr_set_d(r17567, eps, MPFR_RNDN); mpfr_add(r17568, r17566, r17567, MPFR_RNDN); mpfr_sin(r17569, r17568, MPFR_RNDN); mpfr_sin(r17570, r17566, MPFR_RNDN); mpfr_sub(r17571, r17569, r17570, MPFR_RNDN); return mpfr_get_d(r17571, MPFR_RNDN); } static mpfr_t r17572, r17573, r17574, r17575, r17576, r17577, r17578, r17579, r17580, r17581, r17582, r17583, r17584, r17585, r17586, r17587, r17588, r17589, r17590, r17591, r17592, r17593, r17594, r17595, r17596, r17597, r17598, r17599, r17600, r17601, r17602, r17603, r17604; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r17572); mpfr_init_set_str(r17573, "-1.5175483707585876e-61", 10, MPFR_RNDN); mpfr_init(r17574); mpfr_init(r17575); mpfr_init(r17576); mpfr_init(r17577); mpfr_init(r17578); mpfr_init(r17579); mpfr_init(r17580); mpfr_init(r17581); mpfr_init(r17582); mpfr_init(r17583); mpfr_init(r17584); mpfr_init(r17585); mpfr_init(r17586); mpfr_init(r17587); mpfr_init(r17588); mpfr_init(r17589); mpfr_init(r17590); mpfr_init(r17591); mpfr_init(r17592); mpfr_init(r17593); mpfr_init(r17594); mpfr_init_set_str(r17595, "2.331749649630336e-18", 10, MPFR_RNDN); mpfr_init(r17596); mpfr_init_set_str(r17597, "1/2", 10, MPFR_RNDN); mpfr_init(r17598); mpfr_init(r17599); mpfr_init(r17600); mpfr_init(r17601); mpfr_init(r17602); mpfr_init(r17603); mpfr_init(r17604); } double f_fm(double x, double eps) { mpfr_set_d(r17572, eps, MPFR_RNDN); ; mpfr_set_si(r17574, mpfr_cmp(r17572, r17573) <= 0, MPFR_RNDN); mpfr_sin(r17575, r17572, MPFR_RNDN); mpfr_set_d(r17576, x, MPFR_RNDN); mpfr_cos(r17577, r17576, MPFR_RNDN); mpfr_mul(r17578, r17575, r17577, MPFR_RNDN); mpfr_cos(r17579, r17572, MPFR_RNDN); mpfr_sin(r17580, r17576, MPFR_RNDN); mpfr_mul(r17581, r17579, r17580, MPFR_RNDN); mpfr_add(r17582, r17578, r17581, MPFR_RNDN); mpfr_mul(r17583, r17582, r17582, MPFR_RNDN); mpfr_mul(r17583, r17583, r17582, MPFR_RNDN); mpfr_mul(r17584, r17580, r17580, MPFR_RNDN); mpfr_mul(r17584, r17584, r17580, MPFR_RNDN); mpfr_sub(r17585, r17583, r17584, MPFR_RNDN); mpfr_mul(r17586, r17580, r17579, MPFR_RNDN); mpfr_mul(r17587, r17577, r17575, MPFR_RNDN); mpfr_add(r17588, r17586, r17587, MPFR_RNDN); mpfr_sqr(r17589, r17588, MPFR_RNDN); mpfr_sqr(r17590, r17580, MPFR_RNDN); mpfr_mul(r17591, r17588, r17580, MPFR_RNDN); mpfr_add(r17592, r17590, r17591, MPFR_RNDN); mpfr_add(r17593, r17589, r17592, MPFR_RNDN); mpfr_div(r17594, r17585, r17593, MPFR_RNDN); ; mpfr_set_si(r17596, mpfr_cmp(r17572, r17595) <= 0, MPFR_RNDN); ; mpfr_add(r17598, r17572, r17576, MPFR_RNDN); mpfr_mul(r17599, r17576, r17572, MPFR_RNDN); mpfr_mul(r17600, r17598, r17599, MPFR_RNDN); mpfr_mul(r17601, r17597, r17600, MPFR_RNDN); mpfr_sub(r17602, r17572, r17601, MPFR_RNDN); if (mpfr_get_si(r17596, MPFR_RNDN)) { mpfr_set(r17603, r17602, MPFR_RNDN); } else { mpfr_set(r17603, r17594, MPFR_RNDN); }; if (mpfr_get_si(r17574, MPFR_RNDN)) { mpfr_set(r17604, r17594, MPFR_RNDN); } else { mpfr_set(r17604, r17603, MPFR_RNDN); }; return mpfr_get_d(r17604, MPFR_RNDN); } static mpfr_t r17605, r17606, r17607, r17608, r17609, r17610, r17611, r17612, r17613, r17614, r17615, r17616, r17617, r17618, r17619, r17620, r17621, r17622, r17623, r17624, r17625, r17626, r17627, r17628, r17629, r17630, r17631, r17632, r17633, r17634, r17635, r17636, r17637; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r17605); mpfr_init_set_str(r17606, "-1.5175483707585876e-61", 10, MPFR_RNDN); mpfr_init(r17607); mpfr_init(r17608); mpfr_init(r17609); mpfr_init(r17610); mpfr_init(r17611); mpfr_init(r17612); mpfr_init(r17613); mpfr_init(r17614); mpfr_init(r17615); mpfr_init(r17616); mpfr_init(r17617); mpfr_init(r17618); mpfr_init(r17619); mpfr_init(r17620); mpfr_init(r17621); mpfr_init(r17622); mpfr_init(r17623); mpfr_init(r17624); mpfr_init(r17625); mpfr_init(r17626); mpfr_init(r17627); mpfr_init_set_str(r17628, "2.331749649630336e-18", 10, MPFR_RNDN); mpfr_init(r17629); mpfr_init_set_str(r17630, "1/2", 10, MPFR_RNDN); mpfr_init(r17631); mpfr_init(r17632); mpfr_init(r17633); mpfr_init(r17634); mpfr_init(r17635); mpfr_init(r17636); mpfr_init(r17637); } double f_dm(double x, double eps) { mpfr_set_d(r17605, eps, MPFR_RNDN); ; mpfr_set_si(r17607, mpfr_cmp(r17605, r17606) <= 0, MPFR_RNDN); mpfr_sin(r17608, r17605, MPFR_RNDN); mpfr_set_d(r17609, x, MPFR_RNDN); mpfr_cos(r17610, r17609, MPFR_RNDN); mpfr_mul(r17611, r17608, r17610, MPFR_RNDN); mpfr_cos(r17612, r17605, MPFR_RNDN); mpfr_sin(r17613, r17609, MPFR_RNDN); mpfr_mul(r17614, r17612, r17613, MPFR_RNDN); mpfr_add(r17615, r17611, r17614, MPFR_RNDN); mpfr_mul(r17616, r17615, r17615, MPFR_RNDN); mpfr_mul(r17616, r17616, r17615, MPFR_RNDN); mpfr_mul(r17617, r17613, r17613, MPFR_RNDN); mpfr_mul(r17617, r17617, r17613, MPFR_RNDN); mpfr_sub(r17618, r17616, r17617, MPFR_RNDN); mpfr_mul(r17619, r17613, r17612, MPFR_RNDN); mpfr_mul(r17620, r17610, r17608, MPFR_RNDN); mpfr_add(r17621, r17619, r17620, MPFR_RNDN); mpfr_sqr(r17622, r17621, MPFR_RNDN); mpfr_sqr(r17623, r17613, MPFR_RNDN); mpfr_mul(r17624, r17621, r17613, MPFR_RNDN); mpfr_add(r17625, r17623, r17624, MPFR_RNDN); mpfr_add(r17626, r17622, r17625, MPFR_RNDN); mpfr_div(r17627, r17618, r17626, MPFR_RNDN); ; mpfr_set_si(r17629, mpfr_cmp(r17605, r17628) <= 0, MPFR_RNDN); ; mpfr_add(r17631, r17605, r17609, MPFR_RNDN); mpfr_mul(r17632, r17609, r17605, MPFR_RNDN); mpfr_mul(r17633, r17631, r17632, MPFR_RNDN); mpfr_mul(r17634, r17630, r17633, MPFR_RNDN); mpfr_sub(r17635, r17605, r17634, MPFR_RNDN); if (mpfr_get_si(r17629, MPFR_RNDN)) { mpfr_set(r17636, r17635, MPFR_RNDN); } else { mpfr_set(r17636, r17627, MPFR_RNDN); }; if (mpfr_get_si(r17607, MPFR_RNDN)) { mpfr_set(r17637, r17627, MPFR_RNDN); } else { mpfr_set(r17637, r17636, MPFR_RNDN); }; return mpfr_get_d(r17637, MPFR_RNDN); }