#include #include #include #include #include char *name = "2tan (problem 3.3.2)"; double f_if(float x, float eps) { float r24444 = x; float r24445 = eps; float r24446 = r24444 + r24445; float r24447 = tan(r24446); float r24448 = tan(r24444); float r24449 = r24447 - r24448; return r24449; } double f_id(double x, double eps) { double r24450 = x; double r24451 = eps; double r24452 = r24450 + r24451; double r24453 = tan(r24452); double r24454 = tan(r24450); double r24455 = r24453 - r24454; return r24455; } double f_of(float x, float eps) { float r24456 = x; float r24457 = sin(r24456); float r24458 = cos(r24456); float r24459 = r24457 / r24458; float r24460 = r24459 * r24459; float r24461 = 1; float r24462 = eps; float r24463 = sin(r24462); float r24464 = r24463 / r24458; float r24465 = r24464 * r24464; float r24466 = cos(r24462); float r24467 = r24457 / r24466; float r24468 = r24467 * r24467; float r24469 = r24465 * r24468; float r24470 = r24461 - r24469; float r24471 = r24460 / r24470; float r24472 = r24463 / r24466; float r24473 = r24472 / r24470; float r24474 = fma(r24471, r24472, r24473); float r24475 = fma(r24472, r24472, r24461); float r24476 = r24475 * r24459; float r24477 = r24476 / r24470; float r24478 = r24477 - r24459; float r24479 = r24474 + r24478; return r24479; } double f_od(double x, double eps) { double r24480 = x; double r24481 = sin(r24480); double r24482 = cos(r24480); double r24483 = r24481 / r24482; double r24484 = r24483 * r24483; double r24485 = 1; double r24486 = eps; double r24487 = sin(r24486); double r24488 = r24487 / r24482; double r24489 = r24488 * r24488; double r24490 = cos(r24486); double r24491 = r24481 / r24490; double r24492 = r24491 * r24491; double r24493 = r24489 * r24492; double r24494 = r24485 - r24493; double r24495 = r24484 / r24494; double r24496 = r24487 / r24490; double r24497 = r24496 / r24494; double r24498 = fma(r24495, r24496, r24497); double r24499 = fma(r24496, r24496, r24485); double r24500 = r24499 * r24483; double r24501 = r24500 / r24494; double r24502 = r24501 - r24483; double r24503 = r24498 + r24502; return r24503; } 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 r24504, r24505, r24506, r24507, r24508, r24509; void setup_mpfr_f_im() { mpfr_set_default_prec(2384); mpfr_init(r24504); mpfr_init(r24505); mpfr_init(r24506); mpfr_init(r24507); mpfr_init(r24508); mpfr_init(r24509); } double f_im(double x, double eps) { mpfr_set_d(r24504, x, MPFR_RNDN); mpfr_set_d(r24505, eps, MPFR_RNDN); mpfr_add(r24506, r24504, r24505, MPFR_RNDN); mpfr_tan(r24507, r24506, MPFR_RNDN); mpfr_tan(r24508, r24504, MPFR_RNDN); mpfr_sub(r24509, r24507, r24508, MPFR_RNDN); return mpfr_get_d(r24509, MPFR_RNDN); } static mpfr_t r24510, r24511, r24512, r24513, r24514, r24515, r24516, r24517, r24518, r24519, r24520, r24521, r24522, r24523, r24524, r24525, r24526, r24527, r24528, r24529, r24530, r24531, r24532, r24533; void setup_mpfr_f_fm() { mpfr_set_default_prec(2384); mpfr_init(r24510); mpfr_init(r24511); mpfr_init(r24512); mpfr_init(r24513); mpfr_init(r24514); mpfr_init_set_str(r24515, "1", 10, MPFR_RNDN); mpfr_init(r24516); mpfr_init(r24517); mpfr_init(r24518); mpfr_init(r24519); mpfr_init(r24520); mpfr_init(r24521); mpfr_init(r24522); mpfr_init(r24523); mpfr_init(r24524); mpfr_init(r24525); mpfr_init(r24526); mpfr_init(r24527); mpfr_init(r24528); mpfr_init(r24529); mpfr_init(r24530); mpfr_init(r24531); mpfr_init(r24532); mpfr_init(r24533); } double f_fm(double x, double eps) { mpfr_set_d(r24510, x, MPFR_RNDN); mpfr_sin(r24511, r24510, MPFR_RNDN); mpfr_cos(r24512, r24510, MPFR_RNDN); mpfr_div(r24513, r24511, r24512, MPFR_RNDN); mpfr_mul(r24514, r24513, r24513, MPFR_RNDN); ; mpfr_set_d(r24516, eps, MPFR_RNDN); mpfr_sin(r24517, r24516, MPFR_RNDN); mpfr_div(r24518, r24517, r24512, MPFR_RNDN); mpfr_mul(r24519, r24518, r24518, MPFR_RNDN); mpfr_cos(r24520, r24516, MPFR_RNDN); mpfr_div(r24521, r24511, r24520, MPFR_RNDN); mpfr_mul(r24522, r24521, r24521, MPFR_RNDN); mpfr_mul(r24523, r24519, r24522, MPFR_RNDN); mpfr_sub(r24524, r24515, r24523, MPFR_RNDN); mpfr_div(r24525, r24514, r24524, MPFR_RNDN); mpfr_div(r24526, r24517, r24520, MPFR_RNDN); mpfr_div(r24527, r24526, r24524, MPFR_RNDN); mpfr_fma(r24528, r24525, r24526, r24527, MPFR_RNDN); mpfr_fma(r24529, r24526, r24526, r24515, MPFR_RNDN); mpfr_mul(r24530, r24529, r24513, MPFR_RNDN); mpfr_div(r24531, r24530, r24524, MPFR_RNDN); mpfr_sub(r24532, r24531, r24513, MPFR_RNDN); mpfr_add(r24533, r24528, r24532, MPFR_RNDN); return mpfr_get_d(r24533, MPFR_RNDN); } static mpfr_t r24534, r24535, r24536, r24537, r24538, r24539, r24540, r24541, r24542, r24543, r24544, r24545, r24546, r24547, r24548, r24549, r24550, r24551, r24552, r24553, r24554, r24555, r24556, r24557; void setup_mpfr_f_dm() { mpfr_set_default_prec(2384); mpfr_init(r24534); mpfr_init(r24535); mpfr_init(r24536); mpfr_init(r24537); mpfr_init(r24538); mpfr_init_set_str(r24539, "1", 10, MPFR_RNDN); mpfr_init(r24540); mpfr_init(r24541); mpfr_init(r24542); mpfr_init(r24543); mpfr_init(r24544); mpfr_init(r24545); mpfr_init(r24546); mpfr_init(r24547); mpfr_init(r24548); mpfr_init(r24549); mpfr_init(r24550); mpfr_init(r24551); mpfr_init(r24552); mpfr_init(r24553); mpfr_init(r24554); mpfr_init(r24555); mpfr_init(r24556); mpfr_init(r24557); } double f_dm(double x, double eps) { mpfr_set_d(r24534, x, MPFR_RNDN); mpfr_sin(r24535, r24534, MPFR_RNDN); mpfr_cos(r24536, r24534, MPFR_RNDN); mpfr_div(r24537, r24535, r24536, MPFR_RNDN); mpfr_mul(r24538, r24537, r24537, MPFR_RNDN); ; mpfr_set_d(r24540, eps, MPFR_RNDN); mpfr_sin(r24541, r24540, MPFR_RNDN); mpfr_div(r24542, r24541, r24536, MPFR_RNDN); mpfr_mul(r24543, r24542, r24542, MPFR_RNDN); mpfr_cos(r24544, r24540, MPFR_RNDN); mpfr_div(r24545, r24535, r24544, MPFR_RNDN); mpfr_mul(r24546, r24545, r24545, MPFR_RNDN); mpfr_mul(r24547, r24543, r24546, MPFR_RNDN); mpfr_sub(r24548, r24539, r24547, MPFR_RNDN); mpfr_div(r24549, r24538, r24548, MPFR_RNDN); mpfr_div(r24550, r24541, r24544, MPFR_RNDN); mpfr_div(r24551, r24550, r24548, MPFR_RNDN); mpfr_fma(r24552, r24549, r24550, r24551, MPFR_RNDN); mpfr_fma(r24553, r24550, r24550, r24539, MPFR_RNDN); mpfr_mul(r24554, r24553, r24537, MPFR_RNDN); mpfr_div(r24555, r24554, r24548, MPFR_RNDN); mpfr_sub(r24556, r24555, r24537, MPFR_RNDN); mpfr_add(r24557, r24552, r24556, MPFR_RNDN); return mpfr_get_d(r24557, MPFR_RNDN); }