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