void ovm_q_hypot(oregister_t *l, oregister_t *r) { switch (r->t) { case t_void: if (!cfg_float_format) { l->t = t_float; l->v.d = fabs(mpq_get_d(oqr(l))); } 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 = hypot(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 = hypot(mpq_get_d(oqr(l)), r->v.d); break; case t_mpz: if (!cfg_float_format) { l->t = t_float; l->v.d = hypot(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 = hypot(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 = hypot(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: l->t = t_mpr; mpfr_set_q(orr(l), oqr(l), thr_rnd); mpfr_hypot(orr(l), orr(l), orr(r), thr_rnd); break; case t_cdd: cdd: l->t = t_float; l->v.d = hypot(mpq_get_d(oqr(l)), hypot(real(r->v.dd), imag(r->v.dd))); 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_mpr; mpc_set_q(occ(l), oqr(l), thr_rndc); mpfr_hypot(ori(l), orr(l), ori(l), thr_rnd); mpfr_hypot(orr(l), orr(r), ori(r), thr_rnd); mpfr_hypot(orr(l), ori(l), orr(l), thr_rnd); 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); } }
void ovm_q_pow(oregister_t *l, oregister_t *r) { switch (r->t) { case t_void: if (!cfg_float_format) { l->t = t_float; l->v.d = 1.0; } else { l->t = t_mpr; mpfr_set_ui(orr(l), 1, thr_rnd); } break; case t_word: if (!cfg_float_format) { l->t = t_float; l->v.d = pow(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: if (mpq_sgn(oqr(l)) < 0 && finite(r->v.d) && rint(r->v.d) != r->v.d) { real(r->v.dd) = r->v.d; imag(r->v.dd) = 0.0; goto cdd; } l->t = t_float; l->v.d = pow(mpq_get_d(oqr(l)), r->v.d); break; case t_mpz: if (!cfg_float_format) { l->t = t_float; l->v.d = pow(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 (mpq_sgn(oqr(l)) < 0) { if (!cfg_float_format) { real(r->v.dd) = mpq_get_d(oqr(r)); imag(r->v.dd) = 0.0; goto cdd; } mpc_set_q(occ(r), oqr(r), thr_rndc); goto mpc; } else { if (!cfg_float_format) { l->t = t_float; l->v.d = pow(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 (mpq_sgn(oqr(r)) < 0) { if (!cfg_float_format) { real(r->v.dd) = mpq_get_d(oqr(r)); imag(r->v.dd) = 0.0; goto cdd; } mpc_set_q(occ(r), oqr(r), thr_rndc); goto mpc; } else { if (!cfg_float_format) { l->t = t_float; l->v.d = pow(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: if (mpq_sgn(oqr(l)) < 0 && mpfr_number_p(orr(r)) && !mpfr_integer_p(orr(r))) { mpc_set_q(occ(r), oqr(r), thr_rndc); goto mpc; } mpr: l->t = t_mpr; mpfr_set_q(orr(l), oqr(l), thr_rnd); mpfr_pow(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 = cpow(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: mpc: l->t = t_mpc; mpc_set_q(occ(l), oqr(l), thr_rndc); mpc_pow(occ(l), occ(l), occ(r), thr_rndc); check_mpc(l); break; default: ovm_raise(except_not_a_number); } }
static void check_set (void) { long int lo; mpz_t mpz; mpq_t mpq; mpf_t mpf; mpfr_t fr; mpc_t x, z; mpfr_prec_t prec; mpz_init (mpz); mpq_init (mpq); mpf_init2 (mpf, 1000); mpfr_init2 (fr, 1000); mpc_init2 (x, 1000); mpc_init2 (z, 1000); mpz_set_ui (mpz, 0x4217); mpq_set_si (mpq, -1, 0x4321); mpf_set_q (mpf, mpq); for (prec = 2; prec <= 1000; prec++) { unsigned long int u = (unsigned long int) prec; mpc_set_prec (z, prec); mpfr_set_prec (fr, prec); lo = -prec; mpfr_set_d (fr, 1.23456789, GMP_RNDN); mpc_set_d (z, 1.23456789, MPC_RNDNN); if (mpfr_cmp (MPC_RE(z), fr) != 0 || mpfr_cmp_si (MPC_IM(z), 0) != 0) PRINT_ERROR ("mpc_set_d", prec, z); #if defined _MPC_H_HAVE_COMPLEX mpc_set_dc (z, I*1.23456789+1.23456789, MPC_RNDNN); if (mpfr_cmp (MPC_RE(z), fr) != 0 || mpfr_cmp (MPC_IM(z), fr) != 0) PRINT_ERROR ("mpc_set_c", prec, z); #endif mpc_set_ui (z, u, MPC_RNDNN); if (mpfr_cmp_ui (MPC_RE(z), u) != 0 || mpfr_cmp_ui (MPC_IM(z), 0) != 0) PRINT_ERROR ("mpc_set_ui", prec, z); mpc_set_d_d (z, 1.23456789, 1.23456789, MPC_RNDNN); if (mpfr_cmp (MPC_RE(z), fr) != 0 || mpfr_cmp (MPC_IM(z), fr) != 0) PRINT_ERROR ("mpc_set_d_d", prec, z); mpc_set_si (z, lo, MPC_RNDNN); if (mpfr_cmp_si (MPC_RE(z), lo) != 0 || mpfr_cmp_ui (MPC_IM(z), 0) != 0) PRINT_ERROR ("mpc_set_si", prec, z); mpfr_set_ld (fr, 1.23456789L, GMP_RNDN); mpc_set_ld_ld (z, 1.23456789L, 1.23456789L, MPC_RNDNN); if (mpfr_cmp (MPC_RE(z), fr) != 0 || mpfr_cmp (MPC_IM(z), fr) != 0) PRINT_ERROR ("mpc_set_ld_ld", prec, z); #if defined _MPC_H_HAVE_COMPLEX mpc_set_ldc (z, I*1.23456789L+1.23456789L, MPC_RNDNN); if (mpfr_cmp (MPC_RE(z), fr) != 0 || mpfr_cmp (MPC_IM(z), fr) != 0) PRINT_ERROR ("mpc_set_lc", prec, z); #endif mpc_set_ui_ui (z, u, u, MPC_RNDNN); if (mpfr_cmp_ui (MPC_RE(z), u) != 0 || mpfr_cmp_ui (MPC_IM(z), u) != 0) PRINT_ERROR ("mpc_set_ui_ui", prec, z); mpc_set_ld (z, 1.23456789L, MPC_RNDNN); mpfr_clear_flags (); if (mpfr_cmp (MPC_RE(z), fr) != 0 || mpfr_cmp_ui (MPC_IM(z), 0) != 0 || mpfr_erangeflag_p()) PRINT_ERROR ("mpc_set_ld", prec, z); mpc_set_prec (x, prec); mpfr_set_ui(fr, 1, GMP_RNDN); mpfr_div_ui(fr, fr, 3, GMP_RNDN); mpfr_set(MPC_RE(x), fr, GMP_RNDN); mpfr_set(MPC_IM(x), fr, GMP_RNDN); mpc_set (z, x, MPC_RNDNN); mpfr_clear_flags (); /* mpc_cmp set erange flag when an operand is a NaN */ if (mpc_cmp (z, x) != 0 || mpfr_erangeflag_p()) { printf ("Error in mpc_set for prec = %lu\n", (unsigned long int) prec); MPC_OUT(z); MPC_OUT(x); exit (1); } mpc_set_si_si (z, lo, lo, MPC_RNDNN); if (mpfr_cmp_si (MPC_RE(z), lo) != 0 || mpfr_cmp_si (MPC_IM(z), lo) != 0) PRINT_ERROR ("mpc_set_si_si", prec, z); mpc_set_fr (z, fr, MPC_RNDNN); mpfr_clear_flags (); if (mpfr_cmp (MPC_RE(z), fr) != 0 || mpfr_cmp_ui (MPC_IM(z), 0) != 0 || mpfr_erangeflag_p()) PRINT_ERROR ("mpc_set_fr", prec, z); mpfr_set_z (fr, mpz, GMP_RNDN); mpc_set_z_z (z, mpz, mpz, MPC_RNDNN); mpfr_clear_flags (); if (mpfr_cmp (MPC_RE(z), fr) != 0 || mpfr_cmp (MPC_IM(z), fr) != 0 || mpfr_erangeflag_p()) PRINT_ERROR ("mpc_set_z_z", prec, z); mpc_set_fr_fr (z, fr, fr, MPC_RNDNN); mpfr_clear_flags (); if (mpfr_cmp (MPC_RE(z), fr) != 0 || mpfr_cmp (MPC_IM(z), fr) != 0 || mpfr_erangeflag_p()) PRINT_ERROR ("mpc_set_fr_fr", prec, z); mpc_set_z (z, mpz, MPC_RNDNN); mpfr_clear_flags (); if (mpfr_cmp (MPC_RE(z), fr) != 0 || mpfr_cmp_ui (MPC_IM(z), 0) != 0 || mpfr_erangeflag_p()) PRINT_ERROR ("mpc_set_z", prec, z); mpfr_set_q (fr, mpq, GMP_RNDN); mpc_set_q_q (z, mpq, mpq, MPC_RNDNN); mpfr_clear_flags (); if (mpfr_cmp (MPC_RE(z), fr) != 0 || mpfr_cmp (MPC_IM(z), fr) != 0 || mpfr_erangeflag_p()) PRINT_ERROR ("mpc_set_q_q", prec, z); mpc_set_ui_fr (z, u, fr, MPC_RNDNN); mpfr_clear_flags (); if (mpfr_cmp_ui (MPC_RE (z), u) != 0 || mpfr_cmp (MPC_IM (z), fr) != 0 || mpfr_erangeflag_p ()) PRINT_ERROR ("mpc_set_ui_fr", prec, z); mpc_set_fr_ui (z, fr, u, MPC_RNDNN); mpfr_clear_flags (); if (mpfr_cmp (MPC_RE (z), fr) != 0 || mpfr_cmp_ui (MPC_IM (z), u) != 0 || mpfr_erangeflag_p()) PRINT_ERROR ("mpc_set_fr_ui", prec, z); mpc_set_q (z, mpq, MPC_RNDNN); mpfr_clear_flags (); if (mpfr_cmp (MPC_RE(z), fr) != 0 || mpfr_cmp_ui (MPC_IM(z), 0) != 0 || mpfr_erangeflag_p()) PRINT_ERROR ("mpc_set_q", prec, z); mpfr_set_f (fr, mpf, GMP_RNDN); mpc_set_f_f (z, mpf, mpf, MPC_RNDNN); mpfr_clear_flags (); if (mpfr_cmp (MPC_RE(z), fr) != 0 || mpfr_cmp (MPC_IM(z), fr) != 0 || mpfr_erangeflag_p()) PRINT_ERROR ("mpc_set_f_f", prec, z); mpc_set_f (z, mpf, MPC_RNDNN); mpfr_clear_flags (); if (mpfr_cmp (MPC_RE(z), fr) != 0 || mpfr_cmp_ui (MPC_IM(z), 0) != 0 || mpfr_erangeflag_p()) PRINT_ERROR ("mpc_set_f", prec, z); mpc_set_f_si (z, mpf, lo, MPC_RNDNN); mpfr_clear_flags (); if (mpfr_cmp (MPC_RE (z), fr) != 0 || mpfr_cmp_si (MPC_IM (z), lo) != 0 || mpfr_erangeflag_p ()) PRINT_ERROR ("mpc_set_f", prec, z); mpc_set_nan (z); if (!mpfr_nan_p (MPC_RE(z)) || !mpfr_nan_p (MPC_IM(z))) PRINT_ERROR ("mpc_set_nan", prec, z); #ifdef _MPC_H_HAVE_INTMAX_T { uintmax_t uim = (uintmax_t) prec; intmax_t im = (intmax_t) prec; mpc_set_uj (z, uim, MPC_RNDNN); if (mpfr_cmp_ui (MPC_RE(z), u) != 0 || mpfr_cmp_ui (MPC_IM(z), 0) != 0) PRINT_ERROR ("mpc_set_uj", prec, z); mpc_set_sj (z, im, MPC_RNDNN); if (mpfr_cmp_ui (MPC_RE(z), u) != 0 || mpfr_cmp_ui (MPC_IM(z), 0) != 0) PRINT_ERROR ("mpc_set_sj (1)", prec, z); mpc_set_uj_uj (z, uim, uim, MPC_RNDNN); if (mpfr_cmp_ui (MPC_RE(z), u) != 0 || mpfr_cmp_ui (MPC_IM(z), u) != 0) PRINT_ERROR ("mpc_set_uj_uj", prec, z); mpc_set_sj_sj (z, im, im, MPC_RNDNN); if (mpfr_cmp_ui (MPC_RE(z), u) != 0 || mpfr_cmp_ui (MPC_IM(z), u) != 0) PRINT_ERROR ("mpc_set_sj_sj (1)", prec, z); im = LONG_MAX; if (sizeof (intmax_t) == 2 * sizeof (unsigned long)) im = 2 * im * im + 4 * im + 1; /* gives 2^(2n-1)-1 from 2^(n-1)-1 */ mpc_set_sj (z, im, MPC_RNDNN); if (mpfr_get_sj (MPC_RE(z), GMP_RNDN) != im || mpfr_cmp_ui (MPC_IM(z), 0) != 0) PRINT_ERROR ("mpc_set_sj (2)", im, z); mpc_set_sj_sj (z, im, im, MPC_RNDNN); if (mpfr_get_sj (MPC_RE(z), GMP_RNDN) != im || mpfr_get_sj (MPC_IM(z), GMP_RNDN) != im) PRINT_ERROR ("mpc_set_sj_sj (2)", im, z); } #endif /* _MPC_H_HAVE_INTMAX_T */ #if defined _MPC_H_HAVE_COMPLEX { double _Complex c = 1.0 - 2.0*I; long double _Complex lc = c; mpc_set_dc (z, c, MPC_RNDNN); if (mpc_get_dc (z, MPC_RNDNN) != c) PRINT_ERROR ("mpc_get_c", prec, z); mpc_set_ldc (z, lc, MPC_RNDNN); if (mpc_get_ldc (z, MPC_RNDNN) != lc) PRINT_ERROR ("mpc_get_lc", prec, z); } #endif } mpz_clear (mpz); mpq_clear (mpq); mpf_clear (mpf); mpfr_clear (fr); mpc_clear (x); mpc_clear (z); }