#include #include #include #include #include char *name = "Bouland and Aaronson, Equation (25)"; double f_if(float a, float b) { float r17433 = a; float r17434 = r17433 * r17433; float r17435 = b; float r17436 = r17435 * r17435; float r17437 = r17434 + r17436; float r17438 = r17437 * r17437; float r17439 = 4.0f; float r17440 = 1.0f; float r17441 = r17440 + r17433; float r17442 = r17434 * r17441; float r17443 = 3.0f; float r17444 = r17443 * r17433; float r17445 = r17440 - r17444; float r17446 = r17436 * r17445; float r17447 = r17442 + r17446; float r17448 = r17439 * r17447; float r17449 = r17438 + r17448; float r17450 = r17449 - r17440; return r17450; } double f_id(double a, double b) { double r17451 = a; double r17452 = r17451 * r17451; double r17453 = b; double r17454 = r17453 * r17453; double r17455 = r17452 + r17454; double r17456 = r17455 * r17455; double r17457 = 4.0; double r17458 = 1.0; double r17459 = r17458 + r17451; double r17460 = r17452 * r17459; double r17461 = 3.0; double r17462 = r17461 * r17451; double r17463 = r17458 - r17462; double r17464 = r17454 * r17463; double r17465 = r17460 + r17464; double r17466 = r17457 * r17465; double r17467 = r17456 + r17466; double r17468 = r17467 - r17458; return r17468; } double f_of(float a, float b) { float r17469 = 1.0f; float r17470 = a; float r17471 = 3.0f; float r17472 = r17470 * r17471; float r17473 = r17469 - r17472; float r17474 = b; float r17475 = r17474 * r17474; float r17476 = fma(r17470, r17470, r17470); float r17477 = r17476 * r17470; float r17478 = fma(r17473, r17475, r17477); float r17479 = 4.0f; float r17480 = 2.0f; float r17481 = r17474 * r17480; float r17482 = r17481 * r17474; float r17483 = r17470 * r17470; float r17484 = pow(r17470, r17479); float r17485 = pow(r17474, r17479); float r17486 = r17484 + r17485; float r17487 = fma(r17482, r17483, r17486); float r17488 = fma(r17478, r17479, r17487); float r17489 = r17488 - r17469; return r17489; } double f_od(double a, double b) { double r17490 = 1.0; double r17491 = a; double r17492 = 3.0; double r17493 = r17491 * r17492; double r17494 = r17490 - r17493; double r17495 = b; double r17496 = r17495 * r17495; double r17497 = fma(r17491, r17491, r17491); double r17498 = r17497 * r17491; double r17499 = fma(r17494, r17496, r17498); double r17500 = 4.0; double r17501 = 2.0; double r17502 = r17495 * r17501; double r17503 = r17502 * r17495; double r17504 = r17491 * r17491; double r17505 = pow(r17491, r17500); double r17506 = pow(r17495, r17500); double r17507 = r17505 + r17506; double r17508 = fma(r17503, r17504, r17507); double r17509 = fma(r17499, r17500, r17508); double r17510 = r17509 - r17490; return r17510; } 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 r17511, r17512, r17513, r17514, r17515, r17516, r17517, r17518, r17519, r17520, r17521, r17522, r17523, r17524, r17525, r17526, r17527, r17528; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r17511); mpfr_init(r17512); mpfr_init(r17513); mpfr_init(r17514); mpfr_init(r17515); mpfr_init(r17516); mpfr_init_set_str(r17517, "4", 10, MPFR_RNDN); mpfr_init_set_str(r17518, "1", 10, MPFR_RNDN); mpfr_init(r17519); mpfr_init(r17520); mpfr_init_set_str(r17521, "3", 10, MPFR_RNDN); mpfr_init(r17522); mpfr_init(r17523); mpfr_init(r17524); mpfr_init(r17525); mpfr_init(r17526); mpfr_init(r17527); mpfr_init(r17528); } double f_im(double a, double b) { mpfr_set_d(r17511, a, MPFR_RNDN); mpfr_sqr(r17512, r17511, MPFR_RNDN); mpfr_set_d(r17513, b, MPFR_RNDN); mpfr_sqr(r17514, r17513, MPFR_RNDN); mpfr_add(r17515, r17512, r17514, MPFR_RNDN); mpfr_sqr(r17516, r17515, MPFR_RNDN); ; ; mpfr_add(r17519, r17518, r17511, MPFR_RNDN); mpfr_mul(r17520, r17512, r17519, MPFR_RNDN); ; mpfr_mul(r17522, r17521, r17511, MPFR_RNDN); mpfr_sub(r17523, r17518, r17522, MPFR_RNDN); mpfr_mul(r17524, r17514, r17523, MPFR_RNDN); mpfr_add(r17525, r17520, r17524, MPFR_RNDN); mpfr_mul(r17526, r17517, r17525, MPFR_RNDN); mpfr_add(r17527, r17516, r17526, MPFR_RNDN); mpfr_sub(r17528, r17527, r17518, MPFR_RNDN); return mpfr_get_d(r17528, MPFR_RNDN); } static mpfr_t r17529, r17530, r17531, r17532, r17533, r17534, r17535, r17536, r17537, r17538, r17539, r17540, r17541, r17542, r17543, r17544, r17545, r17546, r17547, r17548, r17549; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init_set_str(r17529, "1", 10, MPFR_RNDN); mpfr_init(r17530); mpfr_init_set_str(r17531, "3", 10, MPFR_RNDN); mpfr_init(r17532); mpfr_init(r17533); mpfr_init(r17534); mpfr_init(r17535); mpfr_init(r17536); mpfr_init(r17537); mpfr_init(r17538); mpfr_init_set_str(r17539, "4", 10, MPFR_RNDN); mpfr_init_set_str(r17540, "2", 10, MPFR_RNDN); mpfr_init(r17541); mpfr_init(r17542); mpfr_init(r17543); mpfr_init(r17544); mpfr_init(r17545); mpfr_init(r17546); mpfr_init(r17547); mpfr_init(r17548); mpfr_init(r17549); } double f_fm(double a, double b) { ; mpfr_set_d(r17530, a, MPFR_RNDN); ; mpfr_mul(r17532, r17530, r17531, MPFR_RNDN); mpfr_sub(r17533, r17529, r17532, MPFR_RNDN); mpfr_set_d(r17534, b, MPFR_RNDN); mpfr_sqr(r17535, r17534, MPFR_RNDN); mpfr_fma(r17536, r17530, r17530, r17530, MPFR_RNDN); mpfr_mul(r17537, r17536, r17530, MPFR_RNDN); mpfr_fma(r17538, r17533, r17535, r17537, MPFR_RNDN); ; ; mpfr_mul(r17541, r17534, r17540, MPFR_RNDN); mpfr_mul(r17542, r17541, r17534, MPFR_RNDN); mpfr_mul(r17543, r17530, r17530, MPFR_RNDN); mpfr_pow(r17544, r17530, r17539, MPFR_RNDN); mpfr_pow(r17545, r17534, r17539, MPFR_RNDN); mpfr_add(r17546, r17544, r17545, MPFR_RNDN); mpfr_fma(r17547, r17542, r17543, r17546, MPFR_RNDN); mpfr_fma(r17548, r17538, r17539, r17547, MPFR_RNDN); mpfr_sub(r17549, r17548, r17529, MPFR_RNDN); return mpfr_get_d(r17549, MPFR_RNDN); } static mpfr_t r17550, r17551, r17552, r17553, r17554, r17555, r17556, r17557, r17558, r17559, r17560, r17561, r17562, r17563, r17564, r17565, r17566, r17567, r17568, r17569, r17570; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init_set_str(r17550, "1", 10, MPFR_RNDN); mpfr_init(r17551); mpfr_init_set_str(r17552, "3", 10, MPFR_RNDN); mpfr_init(r17553); mpfr_init(r17554); mpfr_init(r17555); mpfr_init(r17556); mpfr_init(r17557); mpfr_init(r17558); mpfr_init(r17559); mpfr_init_set_str(r17560, "4", 10, MPFR_RNDN); mpfr_init_set_str(r17561, "2", 10, MPFR_RNDN); mpfr_init(r17562); mpfr_init(r17563); mpfr_init(r17564); mpfr_init(r17565); mpfr_init(r17566); mpfr_init(r17567); mpfr_init(r17568); mpfr_init(r17569); mpfr_init(r17570); } double f_dm(double a, double b) { ; mpfr_set_d(r17551, a, MPFR_RNDN); ; mpfr_mul(r17553, r17551, r17552, MPFR_RNDN); mpfr_sub(r17554, r17550, r17553, MPFR_RNDN); mpfr_set_d(r17555, b, MPFR_RNDN); mpfr_sqr(r17556, r17555, MPFR_RNDN); mpfr_fma(r17557, r17551, r17551, r17551, MPFR_RNDN); mpfr_mul(r17558, r17557, r17551, MPFR_RNDN); mpfr_fma(r17559, r17554, r17556, r17558, MPFR_RNDN); ; ; mpfr_mul(r17562, r17555, r17561, MPFR_RNDN); mpfr_mul(r17563, r17562, r17555, MPFR_RNDN); mpfr_mul(r17564, r17551, r17551, MPFR_RNDN); mpfr_pow(r17565, r17551, r17560, MPFR_RNDN); mpfr_pow(r17566, r17555, r17560, MPFR_RNDN); mpfr_add(r17567, r17565, r17566, MPFR_RNDN); mpfr_fma(r17568, r17563, r17564, r17567, MPFR_RNDN); mpfr_fma(r17569, r17559, r17560, r17568, MPFR_RNDN); mpfr_sub(r17570, r17569, r17550, MPFR_RNDN); return mpfr_get_d(r17570, MPFR_RNDN); }