#include #include #include #include #include char *name = "Bouland and Aaronson, Equation (25)"; double f_if(float a, float b) { float r17417 = a; float r17418 = r17417 * r17417; float r17419 = b; float r17420 = r17419 * r17419; float r17421 = r17418 + r17420; float r17422 = r17421 * r17421; float r17423 = 4.0f; float r17424 = 1.0f; float r17425 = r17424 + r17417; float r17426 = r17418 * r17425; float r17427 = 3.0f; float r17428 = r17427 * r17417; float r17429 = r17424 - r17428; float r17430 = r17420 * r17429; float r17431 = r17426 + r17430; float r17432 = r17423 * r17431; float r17433 = r17422 + r17432; float r17434 = r17433 - r17424; return r17434; } double f_id(double a, double b) { double r17435 = a; double r17436 = r17435 * r17435; double r17437 = b; double r17438 = r17437 * r17437; double r17439 = r17436 + r17438; double r17440 = r17439 * r17439; double r17441 = 4.0; double r17442 = 1.0; double r17443 = r17442 + r17435; double r17444 = r17436 * r17443; double r17445 = 3.0; double r17446 = r17445 * r17435; double r17447 = r17442 - r17446; double r17448 = r17438 * r17447; double r17449 = r17444 + r17448; double r17450 = r17441 * r17449; double r17451 = r17440 + r17450; double r17452 = r17451 - r17442; return r17452; } double f_of(float a, float b) { float r17453 = 1.0f; float r17454 = a; float r17455 = 3.0f; float r17456 = r17454 * r17455; float r17457 = r17453 - r17456; float r17458 = b; float r17459 = r17458 * r17458; float r17460 = fma(r17454, r17454, r17454); float r17461 = r17460 * r17454; float r17462 = fma(r17457, r17459, r17461); float r17463 = cbrt(r17462); float r17464 = r17463 * (r17463 * r17463); float r17465 = 4.0f; float r17466 = r17464 * r17465; float r17467 = 2.0f; float r17468 = r17458 * r17467; float r17469 = r17468 * r17458; float r17470 = r17454 * r17454; float r17471 = pow(r17454, r17465); float r17472 = pow(r17458, r17465); float r17473 = r17471 + r17472; float r17474 = fma(r17469, r17470, r17473); float r17475 = r17466 + r17474; float r17476 = r17475 - r17453; return r17476; } double f_od(double a, double b) { double r17477 = 1.0; double r17478 = a; double r17479 = 3.0; double r17480 = r17478 * r17479; double r17481 = r17477 - r17480; double r17482 = b; double r17483 = r17482 * r17482; double r17484 = fma(r17478, r17478, r17478); double r17485 = r17484 * r17478; double r17486 = fma(r17481, r17483, r17485); double r17487 = cbrt(r17486); double r17488 = r17487 * (r17487 * r17487); double r17489 = 4.0; double r17490 = r17488 * r17489; double r17491 = 2.0; double r17492 = r17482 * r17491; double r17493 = r17492 * r17482; double r17494 = r17478 * r17478; double r17495 = pow(r17478, r17489); double r17496 = pow(r17482, r17489); double r17497 = r17495 + r17496; double r17498 = fma(r17493, r17494, r17497); double r17499 = r17490 + r17498; double r17500 = r17499 - r17477; return r17500; } 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 r17501, r17502, r17503, r17504, r17505, r17506, r17507, r17508, r17509, r17510, r17511, r17512, r17513, r17514, r17515, r17516, r17517, r17518; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r17501); mpfr_init(r17502); mpfr_init(r17503); mpfr_init(r17504); mpfr_init(r17505); mpfr_init(r17506); mpfr_init_set_str(r17507, "4", 10, MPFR_RNDN); mpfr_init_set_str(r17508, "1", 10, MPFR_RNDN); mpfr_init(r17509); mpfr_init(r17510); mpfr_init_set_str(r17511, "3", 10, MPFR_RNDN); mpfr_init(r17512); mpfr_init(r17513); mpfr_init(r17514); mpfr_init(r17515); mpfr_init(r17516); mpfr_init(r17517); mpfr_init(r17518); } double f_im(double a, double b) { mpfr_set_d(r17501, a, MPFR_RNDN); mpfr_sqr(r17502, r17501, MPFR_RNDN); mpfr_set_d(r17503, b, MPFR_RNDN); mpfr_sqr(r17504, r17503, MPFR_RNDN); mpfr_add(r17505, r17502, r17504, MPFR_RNDN); mpfr_sqr(r17506, r17505, MPFR_RNDN); ; ; mpfr_add(r17509, r17508, r17501, MPFR_RNDN); mpfr_mul(r17510, r17502, r17509, MPFR_RNDN); ; mpfr_mul(r17512, r17511, r17501, MPFR_RNDN); mpfr_sub(r17513, r17508, r17512, MPFR_RNDN); mpfr_mul(r17514, r17504, r17513, MPFR_RNDN); mpfr_add(r17515, r17510, r17514, MPFR_RNDN); mpfr_mul(r17516, r17507, r17515, MPFR_RNDN); mpfr_add(r17517, r17506, r17516, MPFR_RNDN); mpfr_sub(r17518, r17517, r17508, MPFR_RNDN); return mpfr_get_d(r17518, MPFR_RNDN); } static mpfr_t r17519, r17520, r17521, r17522, r17523, r17524, r17525, r17526, r17527, r17528, r17529, r17530, r17531, r17532, r17533, r17534, r17535, r17536, r17537, r17538, r17539, r17540, r17541, r17542; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init_set_str(r17519, "1", 10, MPFR_RNDN); 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); mpfr_init(r17529); mpfr_init(r17530); mpfr_init_set_str(r17531, "4", 10, MPFR_RNDN); mpfr_init(r17532); mpfr_init_set_str(r17533, "2", 10, MPFR_RNDN); mpfr_init(r17534); mpfr_init(r17535); mpfr_init(r17536); mpfr_init(r17537); mpfr_init(r17538); mpfr_init(r17539); mpfr_init(r17540); mpfr_init(r17541); mpfr_init(r17542); } double f_fm(double a, double b) { ; mpfr_set_d(r17520, a, MPFR_RNDN); ; mpfr_mul(r17522, r17520, r17521, MPFR_RNDN); mpfr_sub(r17523, r17519, r17522, MPFR_RNDN); mpfr_set_d(r17524, b, MPFR_RNDN); mpfr_sqr(r17525, r17524, MPFR_RNDN); mpfr_fma(r17526, r17520, r17520, r17520, MPFR_RNDN); mpfr_mul(r17527, r17526, r17520, MPFR_RNDN); mpfr_fma(r17528, r17523, r17525, r17527, MPFR_RNDN); mpfr_cbrt(r17529, r17528, MPFR_RNDN); mpfr_mul(r17530, r17529, r17529, MPFR_RNDN); mpfr_mul(r17530, r17530, r17529, MPFR_RNDN); ; mpfr_mul(r17532, r17530, r17531, MPFR_RNDN); ; mpfr_mul(r17534, r17524, r17533, MPFR_RNDN); mpfr_mul(r17535, r17534, r17524, MPFR_RNDN); mpfr_mul(r17536, r17520, r17520, MPFR_RNDN); mpfr_pow(r17537, r17520, r17531, MPFR_RNDN); mpfr_pow(r17538, r17524, r17531, MPFR_RNDN); mpfr_add(r17539, r17537, r17538, MPFR_RNDN); mpfr_fma(r17540, r17535, r17536, r17539, MPFR_RNDN); mpfr_add(r17541, r17532, r17540, MPFR_RNDN); mpfr_sub(r17542, r17541, r17519, MPFR_RNDN); return mpfr_get_d(r17542, MPFR_RNDN); } static mpfr_t r17543, r17544, r17545, r17546, r17547, r17548, r17549, r17550, r17551, r17552, r17553, r17554, r17555, r17556, r17557, r17558, r17559, r17560, r17561, r17562, r17563, r17564, r17565, r17566; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init_set_str(r17543, "1", 10, MPFR_RNDN); mpfr_init(r17544); mpfr_init_set_str(r17545, "3", 10, MPFR_RNDN); mpfr_init(r17546); mpfr_init(r17547); mpfr_init(r17548); mpfr_init(r17549); mpfr_init(r17550); mpfr_init(r17551); mpfr_init(r17552); mpfr_init(r17553); mpfr_init(r17554); mpfr_init_set_str(r17555, "4", 10, MPFR_RNDN); mpfr_init(r17556); mpfr_init_set_str(r17557, "2", 10, MPFR_RNDN); mpfr_init(r17558); mpfr_init(r17559); mpfr_init(r17560); mpfr_init(r17561); mpfr_init(r17562); mpfr_init(r17563); mpfr_init(r17564); mpfr_init(r17565); mpfr_init(r17566); } double f_dm(double a, double b) { ; mpfr_set_d(r17544, a, MPFR_RNDN); ; mpfr_mul(r17546, r17544, r17545, MPFR_RNDN); mpfr_sub(r17547, r17543, r17546, MPFR_RNDN); mpfr_set_d(r17548, b, MPFR_RNDN); mpfr_sqr(r17549, r17548, MPFR_RNDN); mpfr_fma(r17550, r17544, r17544, r17544, MPFR_RNDN); mpfr_mul(r17551, r17550, r17544, MPFR_RNDN); mpfr_fma(r17552, r17547, r17549, r17551, MPFR_RNDN); mpfr_cbrt(r17553, r17552, MPFR_RNDN); mpfr_mul(r17554, r17553, r17553, MPFR_RNDN); mpfr_mul(r17554, r17554, r17553, MPFR_RNDN); ; mpfr_mul(r17556, r17554, r17555, MPFR_RNDN); ; mpfr_mul(r17558, r17548, r17557, MPFR_RNDN); mpfr_mul(r17559, r17558, r17548, MPFR_RNDN); mpfr_mul(r17560, r17544, r17544, MPFR_RNDN); mpfr_pow(r17561, r17544, r17555, MPFR_RNDN); mpfr_pow(r17562, r17548, r17555, MPFR_RNDN); mpfr_add(r17563, r17561, r17562, MPFR_RNDN); mpfr_fma(r17564, r17559, r17560, r17563, MPFR_RNDN); mpfr_add(r17565, r17556, r17564, MPFR_RNDN); mpfr_sub(r17566, r17565, r17543, MPFR_RNDN); return mpfr_get_d(r17566, MPFR_RNDN); }