#include #include #include #include #include char *name = "Bouland and Aaronson, Equation (25)"; double f_if(float a, float b) { float r17441 = a; float r17442 = r17441 * r17441; float r17443 = b; float r17444 = r17443 * r17443; float r17445 = r17442 + r17444; float r17446 = r17445 * r17445; float r17447 = 4.0f; float r17448 = 1.0f; float r17449 = r17448 + r17441; float r17450 = r17442 * r17449; float r17451 = 3.0f; float r17452 = r17451 * r17441; float r17453 = r17448 - r17452; float r17454 = r17444 * r17453; float r17455 = r17450 + r17454; float r17456 = r17447 * r17455; float r17457 = r17446 + r17456; float r17458 = r17457 - r17448; return r17458; } double f_id(double a, double b) { double r17459 = a; double r17460 = r17459 * r17459; double r17461 = b; double r17462 = r17461 * r17461; double r17463 = r17460 + r17462; double r17464 = r17463 * r17463; double r17465 = 4.0; double r17466 = 1.0; double r17467 = r17466 + r17459; double r17468 = r17460 * r17467; double r17469 = 3.0; double r17470 = r17469 * r17459; double r17471 = r17466 - r17470; double r17472 = r17462 * r17471; double r17473 = r17468 + r17472; double r17474 = r17465 * r17473; double r17475 = r17464 + r17474; double r17476 = r17475 - r17466; return r17476; } double f_of(float a, float b) { float r17477 = 1.0f; float r17478 = a; float r17479 = 3.0f; float r17480 = r17478 * r17479; float r17481 = r17477 - r17480; float r17482 = b; float r17483 = r17482 * r17482; float r17484 = fma(r17478, r17478, r17478); float r17485 = r17484 * r17478; float r17486 = fma(r17481, r17483, r17485); float r17487 = 4.0f; float r17488 = 2.0f; float r17489 = r17482 * r17488; float r17490 = r17489 * r17482; float r17491 = r17478 * r17478; float r17492 = pow(r17478, r17487); float r17493 = pow(r17482, r17487); float r17494 = r17492 + r17493; float r17495 = fma(r17490, r17491, r17494); float r17496 = fma(r17486, r17487, r17495); float r17497 = r17496 - r17477; return r17497; } double f_od(double a, double b) { double r17498 = 1.0; double r17499 = a; double r17500 = 3.0; double r17501 = r17499 * r17500; double r17502 = r17498 - r17501; double r17503 = b; double r17504 = r17503 * r17503; double r17505 = fma(r17499, r17499, r17499); double r17506 = r17505 * r17499; double r17507 = fma(r17502, r17504, r17506); double r17508 = 4.0; double r17509 = 2.0; double r17510 = r17503 * r17509; double r17511 = r17510 * r17503; double r17512 = r17499 * r17499; double r17513 = pow(r17499, r17508); double r17514 = pow(r17503, r17508); double r17515 = r17513 + r17514; double r17516 = fma(r17511, r17512, r17515); double r17517 = fma(r17507, r17508, r17516); double r17518 = r17517 - r17498; return r17518; } 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 r17519, r17520, r17521, r17522, r17523, r17524, r17525, r17526, r17527, r17528, r17529, r17530, r17531, r17532, r17533, r17534, r17535, r17536; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r17519); mpfr_init(r17520); mpfr_init(r17521); mpfr_init(r17522); mpfr_init(r17523); mpfr_init(r17524); mpfr_init_set_str(r17525, "4", 10, MPFR_RNDN); mpfr_init_set_str(r17526, "1", 10, MPFR_RNDN); mpfr_init(r17527); mpfr_init(r17528); mpfr_init_set_str(r17529, "3", 10, MPFR_RNDN); mpfr_init(r17530); mpfr_init(r17531); mpfr_init(r17532); mpfr_init(r17533); mpfr_init(r17534); mpfr_init(r17535); mpfr_init(r17536); } double f_im(double a, double b) { mpfr_set_d(r17519, a, MPFR_RNDN); mpfr_sqr(r17520, r17519, MPFR_RNDN); mpfr_set_d(r17521, b, MPFR_RNDN); mpfr_sqr(r17522, r17521, MPFR_RNDN); mpfr_add(r17523, r17520, r17522, MPFR_RNDN); mpfr_sqr(r17524, r17523, MPFR_RNDN); ; ; mpfr_add(r17527, r17526, r17519, MPFR_RNDN); mpfr_mul(r17528, r17520, r17527, MPFR_RNDN); ; mpfr_mul(r17530, r17529, r17519, MPFR_RNDN); mpfr_sub(r17531, r17526, r17530, MPFR_RNDN); mpfr_mul(r17532, r17522, r17531, MPFR_RNDN); mpfr_add(r17533, r17528, r17532, MPFR_RNDN); mpfr_mul(r17534, r17525, r17533, MPFR_RNDN); mpfr_add(r17535, r17524, r17534, MPFR_RNDN); mpfr_sub(r17536, r17535, r17526, MPFR_RNDN); return mpfr_get_d(r17536, MPFR_RNDN); } static mpfr_t r17537, r17538, r17539, r17540, r17541, r17542, r17543, r17544, r17545, r17546, r17547, r17548, r17549, r17550, r17551, r17552, r17553, r17554, r17555, r17556, r17557; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init_set_str(r17537, "1", 10, MPFR_RNDN); mpfr_init(r17538); mpfr_init_set_str(r17539, "3", 10, MPFR_RNDN); mpfr_init(r17540); mpfr_init(r17541); mpfr_init(r17542); mpfr_init(r17543); mpfr_init(r17544); mpfr_init(r17545); mpfr_init(r17546); mpfr_init_set_str(r17547, "4", 10, MPFR_RNDN); mpfr_init_set_str(r17548, "2", 10, MPFR_RNDN); mpfr_init(r17549); mpfr_init(r17550); mpfr_init(r17551); mpfr_init(r17552); mpfr_init(r17553); mpfr_init(r17554); mpfr_init(r17555); mpfr_init(r17556); mpfr_init(r17557); } double f_fm(double a, double b) { ; mpfr_set_d(r17538, a, MPFR_RNDN); ; mpfr_mul(r17540, r17538, r17539, MPFR_RNDN); mpfr_sub(r17541, r17537, r17540, MPFR_RNDN); mpfr_set_d(r17542, b, MPFR_RNDN); mpfr_sqr(r17543, r17542, MPFR_RNDN); mpfr_fma(r17544, r17538, r17538, r17538, MPFR_RNDN); mpfr_mul(r17545, r17544, r17538, MPFR_RNDN); mpfr_fma(r17546, r17541, r17543, r17545, MPFR_RNDN); ; ; mpfr_mul(r17549, r17542, r17548, MPFR_RNDN); mpfr_mul(r17550, r17549, r17542, MPFR_RNDN); mpfr_mul(r17551, r17538, r17538, MPFR_RNDN); mpfr_pow(r17552, r17538, r17547, MPFR_RNDN); mpfr_pow(r17553, r17542, r17547, MPFR_RNDN); mpfr_add(r17554, r17552, r17553, MPFR_RNDN); mpfr_fma(r17555, r17550, r17551, r17554, MPFR_RNDN); mpfr_fma(r17556, r17546, r17547, r17555, MPFR_RNDN); mpfr_sub(r17557, r17556, r17537, MPFR_RNDN); return mpfr_get_d(r17557, MPFR_RNDN); } static mpfr_t r17558, r17559, r17560, r17561, r17562, r17563, r17564, r17565, r17566, r17567, r17568, r17569, r17570, r17571, r17572, r17573, r17574, r17575, r17576, r17577, r17578; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init_set_str(r17558, "1", 10, MPFR_RNDN); mpfr_init(r17559); mpfr_init_set_str(r17560, "3", 10, MPFR_RNDN); mpfr_init(r17561); mpfr_init(r17562); mpfr_init(r17563); mpfr_init(r17564); mpfr_init(r17565); mpfr_init(r17566); mpfr_init(r17567); mpfr_init_set_str(r17568, "4", 10, MPFR_RNDN); mpfr_init_set_str(r17569, "2", 10, MPFR_RNDN); mpfr_init(r17570); mpfr_init(r17571); mpfr_init(r17572); mpfr_init(r17573); mpfr_init(r17574); mpfr_init(r17575); mpfr_init(r17576); mpfr_init(r17577); mpfr_init(r17578); } double f_dm(double a, double b) { ; mpfr_set_d(r17559, a, MPFR_RNDN); ; mpfr_mul(r17561, r17559, r17560, MPFR_RNDN); mpfr_sub(r17562, r17558, r17561, MPFR_RNDN); mpfr_set_d(r17563, b, MPFR_RNDN); mpfr_sqr(r17564, r17563, MPFR_RNDN); mpfr_fma(r17565, r17559, r17559, r17559, MPFR_RNDN); mpfr_mul(r17566, r17565, r17559, MPFR_RNDN); mpfr_fma(r17567, r17562, r17564, r17566, MPFR_RNDN); ; ; mpfr_mul(r17570, r17563, r17569, MPFR_RNDN); mpfr_mul(r17571, r17570, r17563, MPFR_RNDN); mpfr_mul(r17572, r17559, r17559, MPFR_RNDN); mpfr_pow(r17573, r17559, r17568, MPFR_RNDN); mpfr_pow(r17574, r17563, r17568, MPFR_RNDN); mpfr_add(r17575, r17573, r17574, MPFR_RNDN); mpfr_fma(r17576, r17571, r17572, r17575, MPFR_RNDN); mpfr_fma(r17577, r17567, r17568, r17576, MPFR_RNDN); mpfr_sub(r17578, r17577, r17558, MPFR_RNDN); return mpfr_get_d(r17578, MPFR_RNDN); }