#include #include #include #include #include char *name = "Bouland and Aaronson, Equation (25)"; double f_if(float a, float b) { float r17405 = a; float r17406 = r17405 * r17405; float r17407 = b; float r17408 = r17407 * r17407; float r17409 = r17406 + r17408; float r17410 = r17409 * r17409; float r17411 = 4.0f; float r17412 = 1.0f; float r17413 = r17412 + r17405; float r17414 = r17406 * r17413; float r17415 = 3.0f; float r17416 = r17415 * r17405; float r17417 = r17412 - r17416; float r17418 = r17408 * r17417; float r17419 = r17414 + r17418; float r17420 = r17411 * r17419; float r17421 = r17410 + r17420; float r17422 = r17421 - r17412; return r17422; } double f_id(double a, double b) { double r17423 = a; double r17424 = r17423 * r17423; double r17425 = b; double r17426 = r17425 * r17425; double r17427 = r17424 + r17426; double r17428 = r17427 * r17427; double r17429 = 4.0; double r17430 = 1.0; double r17431 = r17430 + r17423; double r17432 = r17424 * r17431; double r17433 = 3.0; double r17434 = r17433 * r17423; double r17435 = r17430 - r17434; double r17436 = r17426 * r17435; double r17437 = r17432 + r17436; double r17438 = r17429 * r17437; double r17439 = r17428 + r17438; double r17440 = r17439 - r17430; return r17440; } double f_of(float a, float b) { float r17441 = 1.0f; float r17442 = a; float r17443 = 3.0f; float r17444 = r17442 * r17443; float r17445 = r17441 - r17444; float r17446 = b; float r17447 = r17446 * r17446; float r17448 = fma(r17442, r17442, r17442); float r17449 = r17448 * r17442; float r17450 = fma(r17445, r17447, r17449); float r17451 = 4.0f; float r17452 = 2.0f; float r17453 = r17446 * r17452; float r17454 = r17453 * r17446; float r17455 = r17442 * r17442; float r17456 = pow(r17442, r17451); float r17457 = pow(r17446, r17451); float r17458 = r17456 + r17457; float r17459 = fma(r17454, r17455, r17458); float r17460 = fma(r17450, r17451, r17459); float r17461 = r17460 - r17441; return r17461; } double f_od(double a, double b) { double r17462 = 1.0; double r17463 = a; double r17464 = 3.0; double r17465 = r17463 * r17464; double r17466 = r17462 - r17465; double r17467 = b; double r17468 = r17467 * r17467; double r17469 = fma(r17463, r17463, r17463); double r17470 = r17469 * r17463; double r17471 = fma(r17466, r17468, r17470); double r17472 = 4.0; double r17473 = 2.0; double r17474 = r17467 * r17473; double r17475 = r17474 * r17467; double r17476 = r17463 * r17463; double r17477 = pow(r17463, r17472); double r17478 = pow(r17467, r17472); double r17479 = r17477 + r17478; double r17480 = fma(r17475, r17476, r17479); double r17481 = fma(r17471, r17472, r17480); double r17482 = r17481 - r17462; return r17482; } 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 r17483, r17484, r17485, r17486, r17487, r17488, r17489, r17490, r17491, r17492, r17493, r17494, r17495, r17496, r17497, r17498, r17499, r17500; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r17483); mpfr_init(r17484); mpfr_init(r17485); mpfr_init(r17486); mpfr_init(r17487); mpfr_init(r17488); mpfr_init_set_str(r17489, "4", 10, MPFR_RNDN); mpfr_init_set_str(r17490, "1", 10, MPFR_RNDN); mpfr_init(r17491); mpfr_init(r17492); mpfr_init_set_str(r17493, "3", 10, MPFR_RNDN); mpfr_init(r17494); mpfr_init(r17495); mpfr_init(r17496); mpfr_init(r17497); mpfr_init(r17498); mpfr_init(r17499); mpfr_init(r17500); } double f_im(double a, double b) { mpfr_set_d(r17483, a, MPFR_RNDN); mpfr_sqr(r17484, r17483, MPFR_RNDN); mpfr_set_d(r17485, b, MPFR_RNDN); mpfr_sqr(r17486, r17485, MPFR_RNDN); mpfr_add(r17487, r17484, r17486, MPFR_RNDN); mpfr_sqr(r17488, r17487, MPFR_RNDN); ; ; mpfr_add(r17491, r17490, r17483, MPFR_RNDN); mpfr_mul(r17492, r17484, r17491, MPFR_RNDN); ; mpfr_mul(r17494, r17493, r17483, MPFR_RNDN); mpfr_sub(r17495, r17490, r17494, MPFR_RNDN); mpfr_mul(r17496, r17486, r17495, MPFR_RNDN); mpfr_add(r17497, r17492, r17496, MPFR_RNDN); mpfr_mul(r17498, r17489, r17497, MPFR_RNDN); mpfr_add(r17499, r17488, r17498, MPFR_RNDN); mpfr_sub(r17500, r17499, r17490, MPFR_RNDN); return mpfr_get_d(r17500, MPFR_RNDN); } static mpfr_t r17501, r17502, r17503, r17504, r17505, r17506, r17507, r17508, r17509, r17510, r17511, r17512, r17513, r17514, r17515, r17516, r17517, r17518, r17519, r17520, r17521; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init_set_str(r17501, "1", 10, MPFR_RNDN); mpfr_init(r17502); mpfr_init_set_str(r17503, "3", 10, MPFR_RNDN); mpfr_init(r17504); mpfr_init(r17505); mpfr_init(r17506); mpfr_init(r17507); mpfr_init(r17508); mpfr_init(r17509); mpfr_init(r17510); mpfr_init_set_str(r17511, "4", 10, MPFR_RNDN); mpfr_init_set_str(r17512, "2", 10, MPFR_RNDN); mpfr_init(r17513); mpfr_init(r17514); mpfr_init(r17515); mpfr_init(r17516); mpfr_init(r17517); mpfr_init(r17518); mpfr_init(r17519); mpfr_init(r17520); mpfr_init(r17521); } double f_fm(double a, double b) { ; mpfr_set_d(r17502, a, MPFR_RNDN); ; mpfr_mul(r17504, r17502, r17503, MPFR_RNDN); mpfr_sub(r17505, r17501, r17504, MPFR_RNDN); mpfr_set_d(r17506, b, MPFR_RNDN); mpfr_sqr(r17507, r17506, MPFR_RNDN); mpfr_fma(r17508, r17502, r17502, r17502, MPFR_RNDN); mpfr_mul(r17509, r17508, r17502, MPFR_RNDN); mpfr_fma(r17510, r17505, r17507, r17509, MPFR_RNDN); ; ; mpfr_mul(r17513, r17506, r17512, MPFR_RNDN); mpfr_mul(r17514, r17513, r17506, MPFR_RNDN); mpfr_mul(r17515, r17502, r17502, MPFR_RNDN); mpfr_pow(r17516, r17502, r17511, MPFR_RNDN); mpfr_pow(r17517, r17506, r17511, MPFR_RNDN); mpfr_add(r17518, r17516, r17517, MPFR_RNDN); mpfr_fma(r17519, r17514, r17515, r17518, MPFR_RNDN); mpfr_fma(r17520, r17510, r17511, r17519, MPFR_RNDN); mpfr_sub(r17521, r17520, r17501, MPFR_RNDN); return mpfr_get_d(r17521, MPFR_RNDN); } static mpfr_t 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_dm() { mpfr_set_default_prec(144); mpfr_init_set_str(r17522, "1", 10, MPFR_RNDN); mpfr_init(r17523); mpfr_init_set_str(r17524, "3", 10, MPFR_RNDN); mpfr_init(r17525); mpfr_init(r17526); mpfr_init(r17527); mpfr_init(r17528); mpfr_init(r17529); mpfr_init(r17530); mpfr_init(r17531); mpfr_init_set_str(r17532, "4", 10, MPFR_RNDN); 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_dm(double a, double b) { ; mpfr_set_d(r17523, a, MPFR_RNDN); ; mpfr_mul(r17525, r17523, r17524, MPFR_RNDN); mpfr_sub(r17526, r17522, r17525, MPFR_RNDN); mpfr_set_d(r17527, b, MPFR_RNDN); mpfr_sqr(r17528, r17527, MPFR_RNDN); mpfr_fma(r17529, r17523, r17523, r17523, MPFR_RNDN); mpfr_mul(r17530, r17529, r17523, MPFR_RNDN); mpfr_fma(r17531, r17526, r17528, r17530, MPFR_RNDN); ; ; mpfr_mul(r17534, r17527, r17533, MPFR_RNDN); mpfr_mul(r17535, r17534, r17527, MPFR_RNDN); mpfr_mul(r17536, r17523, r17523, MPFR_RNDN); mpfr_pow(r17537, r17523, r17532, MPFR_RNDN); mpfr_pow(r17538, r17527, r17532, MPFR_RNDN); mpfr_add(r17539, r17537, r17538, MPFR_RNDN); mpfr_fma(r17540, r17535, r17536, r17539, MPFR_RNDN); mpfr_fma(r17541, r17531, r17532, r17540, MPFR_RNDN); mpfr_sub(r17542, r17541, r17522, MPFR_RNDN); return mpfr_get_d(r17542, MPFR_RNDN); }