/* tests intermediate underflow; WONTFIX */ static int test_underflow (void) { mpc_t z; mpfr_exp_t emin = mpfr_get_emin (); mpfr_set_emin (-10); mpc_init2 (z, 21); mpfr_set_si (mpc_realref(z), -1, GMP_RNDZ); mpfr_set_ui_2exp (mpc_imagref(z), 1, 20, GMP_RNDZ); mpfr_add_ui (mpc_imagref(z), mpc_imagref(z), 1, GMP_RNDZ); mpfr_div_2exp (mpc_imagref(z), mpc_imagref(z), 20, GMP_RNDZ); mpc_atan (z, z, MPC_RNDNN); if (mpfr_cmp_si_2exp (mpc_realref(z), -1066635, 20) != 0 || mpfr_cmp_si_2exp (mpc_imagref(z), 1687619, 22)) { printf ("Error in test_coverage\n"); printf ("expected (-1066635/2^20 1687619/2^22)\n"); printf ("got "); mpc_out_str (stdout, 10, 20, z, MPC_RNDNN); printf ("\n"); exit (1); } mpc_clear (z); mpfr_set_emin (emin); }
int mpc_atanh (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) { /* atanh(op) = -i*atan(i*op) */ int inex; mpfr_t tmp; mpc_t z, a; MPC_RE (z)[0] = MPC_IM (op)[0]; MPC_IM (z)[0] = MPC_RE (op)[0]; MPFR_CHANGE_SIGN (MPC_RE (z)); /* Note reversal of precisions due to later multiplication by -i */ mpc_init3 (a, MPC_PREC_IM(rop), MPC_PREC_RE(rop)); inex = mpc_atan (a, z, RNDC (INV_RND (MPC_RND_IM (rnd)), MPC_RND_RE (rnd))); /* change a to -i*a, i.e., x+i*y to y-i*x */ tmp[0] = MPC_RE (a)[0]; MPC_RE (a)[0] = MPC_IM (a)[0]; MPC_IM (a)[0] = tmp[0]; MPFR_CHANGE_SIGN (MPC_IM (a)); mpc_set (rop, a, rnd); mpc_clear (a); return MPC_INEX (MPC_INEX_IM (inex), -MPC_INEX_RE (inex)); }
void ovm_dd_atan2(oregister_t *l, oregister_t *r) { switch (r->t) { case t_void: goto flt; case t_word: if (r->v.w) { real(r->v.dd) = r->v.w; imag(r->v.dd) = 0.0; goto cdd; } flt: l->t = t_float; l->v.d = real(l->v.dd) >= 0.0 ? M_PI_2 : -M_PI_2; break; case t_float: if (r->v.d) { real(r->v.dd) = r->v.d; imag(r->v.dd) = 0.0; goto cdd; } goto flt; case t_mpz: real(r->v.dd) = mpz_get_d(ozr(r)); imag(r->v.dd) = 0.0; goto cdd; case t_rat: real(r->v.dd) = rat_get_d(r->v.r); imag(r->v.dd) = 0.0; goto cdd; case t_mpq: real(r->v.dd) = mpq_get_d(oqr(r)); imag(r->v.dd) = 0.0; goto cdd; case t_mpr: mpc_set_fr(occ(r), orr(r), thr_rndc); goto mpc; case t_cdd: cdd: l->v.dd = catan(l->v.dd / r->v.dd); check_cdd(l); break; case t_cqq: real(r->v.dd) = mpq_get_d(oqr(r)); imag(r->v.dd) = mpq_get_d(oqi(r)); goto cdd; case t_mpc: mpc: l->t = t_mpc; mpc_set_d_d(occ(l), real(l->v.dd), imag(l->v.dd), thr_rndc); mpc_div(occ(l), occ(l), occ(r), thr_rndc); mpc_atan(occ(l), occ(l), thr_rndc); check_mpc(l); break; default: ovm_raise(except_not_a_number); } }
void ovm_q_atan2(oregister_t *l, oregister_t *r) { switch (r->t) { case t_void: if (!cfg_float_format) { l->t = t_float; l->v.d = atan2(mpq_get_d(oqr(l)), 0.0); } else { mpfr_set_ui(orr(r), 0, thr_rnd); goto mpr; } break; case t_word: if (!cfg_float_format) { l->t = t_float; l->v.d = atan2(mpq_get_d(oqr(l)), r->v.w); } else { mpfr_set_si(orr(r), r->v.w, thr_rnd); goto mpr; } break; case t_float: l->t = t_float; l->v.d = atan2(mpq_get_d(oqr(l)), r->v.d); break; case t_mpz: if (!cfg_float_format) { l->t = t_float; l->v.d = atan2(mpq_get_d(oqr(l)), mpz_get_d(ozr(r))); } else { mpfr_set_z(orr(r), ozr(r), thr_rnd); goto mpr; } break; case t_rat: if (!cfg_float_format) { l->t = t_float; l->v.d = atan2(mpq_get_d(oqr(l)), rat_get_d(r->v.r)); } else { mpq_set_si(oqr(r), rat_num(r->v.r), rat_den(r->v.r)); mpfr_set_q(orr(r), oqr(r), thr_rnd); goto mpr; } break; case t_mpq: if (!cfg_float_format) { l->t = t_float; l->v.d = atan2(mpq_get_d(oqr(l)), mpq_get_d(oqr(r))); } else { mpfr_set_q(orr(r), oqr(r), thr_rnd); goto mpr; } break; case t_mpr: mpr: mpfr_set_q(orr(l), oqr(l), thr_rnd); l->t = t_mpr; mpfr_atan2(orr(l), orr(l), orr(r), thr_rnd); break; case t_cdd: cdd: l->t = t_cdd; real(l->v.dd) = mpq_get_d(oqr(l)); imag(l->v.dd) = 0.0; l->v.dd = catan(l->v.dd / r->v.dd); check_cdd(l); break; case t_cqq: if (!cfg_float_format) { real(r->v.dd) = mpq_get_d(oqr(r)); imag(r->v.dd) = mpq_get_d(oqi(r)); goto cdd; } mpc_set_q_q(occ(r), oqr(r), oqi(r), thr_rndc); case t_mpc: l->t = t_mpc; mpc_set_q(occ(l), oqr(l), thr_rndc); mpc_div(occ(l), occ(l), occ(r), thr_rndc); mpc_atan(occ(l), occ(l), thr_rndc); check_mpc(l); break; default: ovm_raise(except_not_a_number); } }