diff options
author | enge <enge@211d60ee-9f03-0410-a15a-8952a2c7a4e4> | 2011-11-04 18:39:52 +0000 |
---|---|---|
committer | enge <enge@211d60ee-9f03-0410-a15a-8952a2c7a4e4> | 2011-11-04 18:39:52 +0000 |
commit | 5ad0bccecc2c0aafdc23571a491fccc31171c22c (patch) | |
tree | fbb979252a636e9fc3215e15e12be49ca6d35a95 /src/acos.c | |
parent | 18e9d42b59925987d8128096c4a7ea6d49721862 (diff) | |
download | mpc-5ad0bccecc2c0aafdc23571a491fccc31171c22c.tar.gz |
replaced MPC_RE by mpc_realref and MPC_IM by mpc_imagref everywhere
git-svn-id: svn://scm.gforge.inria.fr/svn/mpc/trunk@1112 211d60ee-9f03-0410-a15a-8952a2c7a4e4
Diffstat (limited to 'src/acos.c')
-rw-r--r-- | src/acos.c | 100 |
1 files changed, 50 insertions, 50 deletions
@@ -1,6 +1,6 @@ /* mpc_acos -- arccosine of a complex number. -Copyright (C) 2009, 2010 INRIA +Copyright (C) 2009, 2010, 2011 INRIA This file is part of GNU MPC. @@ -36,38 +36,38 @@ mpc_acos (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) inex_im = 0; /* special values */ - if (mpfr_nan_p (MPC_RE (op)) || mpfr_nan_p (MPC_IM (op))) + if (mpfr_nan_p (mpc_realref (op)) || mpfr_nan_p (mpc_imagref (op))) { - if (mpfr_inf_p (MPC_RE (op)) || mpfr_inf_p (MPC_IM (op))) + if (mpfr_inf_p (mpc_realref (op)) || mpfr_inf_p (mpc_imagref (op))) { - mpfr_set_inf (MPC_IM (rop), mpfr_signbit (MPC_IM (op)) ? +1 : -1); - mpfr_set_nan (MPC_RE (rop)); + mpfr_set_inf (mpc_imagref (rop), mpfr_signbit (mpc_imagref (op)) ? +1 : -1); + mpfr_set_nan (mpc_realref (rop)); } - else if (mpfr_zero_p (MPC_RE (op))) + else if (mpfr_zero_p (mpc_realref (op))) { - inex_re = set_pi_over_2 (MPC_RE (rop), +1, MPC_RND_RE (rnd)); - mpfr_set_nan (MPC_IM (rop)); + inex_re = set_pi_over_2 (mpc_realref (rop), +1, MPC_RND_RE (rnd)); + mpfr_set_nan (mpc_imagref (rop)); } else { - mpfr_set_nan (MPC_RE (rop)); - mpfr_set_nan (MPC_IM (rop)); + mpfr_set_nan (mpc_realref (rop)); + mpfr_set_nan (mpc_imagref (rop)); } return MPC_INEX (inex_re, 0); } - if (mpfr_inf_p (MPC_RE (op)) || mpfr_inf_p (MPC_IM (op))) + if (mpfr_inf_p (mpc_realref (op)) || mpfr_inf_p (mpc_imagref (op))) { - if (mpfr_inf_p (MPC_RE (op))) + if (mpfr_inf_p (mpc_realref (op))) { - if (mpfr_inf_p (MPC_IM (op))) + if (mpfr_inf_p (mpc_imagref (op))) { - if (mpfr_sgn (MPC_RE (op)) > 0) + if (mpfr_sgn (mpc_realref (op)) > 0) { inex_re = - set_pi_over_2 (MPC_RE (rop), +1, MPC_RND_RE (rnd)); - mpfr_div_2ui (MPC_RE (rop), MPC_RE (rop), 1, GMP_RNDN); + set_pi_over_2 (mpc_realref (rop), +1, MPC_RND_RE (rnd)); + mpfr_div_2ui (mpc_realref (rop), mpc_realref (rop), 1, GMP_RNDN); } else { @@ -81,7 +81,7 @@ mpc_acos (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) mpfr_prec_t prec; int ok; mpfr_init (x); - prec = mpfr_get_prec (MPC_RE (rop)); + prec = mpfr_get_prec (mpc_realref (rop)); p = prec; do @@ -96,61 +96,61 @@ mpc_acos (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) } while (ok == 0); inex_re = - mpfr_div_2ui (MPC_RE (rop), x, 2, MPC_RND_RE (rnd)); + mpfr_div_2ui (mpc_realref (rop), x, 2, MPC_RND_RE (rnd)); mpfr_clear (x); } } else { - if (mpfr_sgn (MPC_RE (op)) > 0) - mpfr_set_ui (MPC_RE (rop), 0, GMP_RNDN); + if (mpfr_sgn (mpc_realref (op)) > 0) + mpfr_set_ui (mpc_realref (rop), 0, GMP_RNDN); else - inex_re = mpfr_const_pi (MPC_RE (rop), MPC_RND_RE (rnd)); + inex_re = mpfr_const_pi (mpc_realref (rop), MPC_RND_RE (rnd)); } } else - inex_re = set_pi_over_2 (MPC_RE (rop), +1, MPC_RND_RE (rnd)); + inex_re = set_pi_over_2 (mpc_realref (rop), +1, MPC_RND_RE (rnd)); - mpfr_set_inf (MPC_IM (rop), mpfr_signbit (MPC_IM (op)) ? +1 : -1); + mpfr_set_inf (mpc_imagref (rop), mpfr_signbit (mpc_imagref (op)) ? +1 : -1); return MPC_INEX (inex_re, 0); } /* pure real argument */ - if (mpfr_zero_p (MPC_IM (op))) + if (mpfr_zero_p (mpc_imagref (op))) { int s_im; - s_im = mpfr_signbit (MPC_IM (op)); + s_im = mpfr_signbit (mpc_imagref (op)); - if (mpfr_cmp_ui (MPC_RE (op), 1) > 0) + if (mpfr_cmp_ui (mpc_realref (op), 1) > 0) { if (s_im) - inex_im = mpfr_acosh (MPC_IM (rop), MPC_RE (op), + inex_im = mpfr_acosh (mpc_imagref (rop), mpc_realref (op), MPC_RND_IM (rnd)); else - inex_im = -mpfr_acosh (MPC_IM (rop), MPC_RE (op), + inex_im = -mpfr_acosh (mpc_imagref (rop), mpc_realref (op), INV_RND (MPC_RND_IM (rnd))); - mpfr_set_ui (MPC_RE (rop), 0, GMP_RNDN); + mpfr_set_ui (mpc_realref (rop), 0, GMP_RNDN); } - else if (mpfr_cmp_si (MPC_RE (op), -1) < 0) + else if (mpfr_cmp_si (mpc_realref (op), -1) < 0) { mpfr_t minus_op_re; - minus_op_re[0] = MPC_RE (op)[0]; + minus_op_re[0] = mpc_realref (op)[0]; MPFR_CHANGE_SIGN (minus_op_re); if (s_im) - inex_im = mpfr_acosh (MPC_IM (rop), minus_op_re, + inex_im = mpfr_acosh (mpc_imagref (rop), minus_op_re, MPC_RND_IM (rnd)); else - inex_im = -mpfr_acosh (MPC_IM (rop), minus_op_re, + inex_im = -mpfr_acosh (mpc_imagref (rop), minus_op_re, INV_RND (MPC_RND_IM (rnd))); - inex_re = mpfr_const_pi (MPC_RE (rop), MPC_RND_RE (rnd)); + inex_re = mpfr_const_pi (mpc_realref (rop), MPC_RND_RE (rnd)); } else { - inex_re = mpfr_acos (MPC_RE (rop), MPC_RE (op), MPC_RND_RE (rnd)); - mpfr_set_ui (MPC_IM (rop), 0, MPC_RND_IM (rnd)); + inex_re = mpfr_acos (mpc_realref (rop), mpc_realref (op), MPC_RND_RE (rnd)); + mpfr_set_ui (mpc_imagref (rop), 0, MPC_RND_IM (rnd)); } if (!s_im) @@ -160,10 +160,10 @@ mpc_acos (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) } /* pure imaginary argument */ - if (mpfr_zero_p (MPC_RE (op))) + if (mpfr_zero_p (mpc_realref (op))) { - inex_re = set_pi_over_2 (MPC_RE (rop), +1, MPC_RND_RE (rnd)); - inex_im = -mpfr_asinh (MPC_IM (rop), MPC_IM (op), + inex_re = set_pi_over_2 (mpc_realref (rop), +1, MPC_RND_RE (rnd)); + inex_im = -mpfr_asinh (mpc_imagref (rop), mpc_imagref (op), INV_RND (MPC_RND_IM (rnd))); mpc_conj (rop,rop, MPC_RNDNN); @@ -171,8 +171,8 @@ mpc_acos (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) } /* regular complex argument: acos(z) = Pi/2 - asin(z) */ - p_re = mpfr_get_prec (MPC_RE(rop)); - p_im = mpfr_get_prec (MPC_IM(rop)); + p_re = mpfr_get_prec (mpc_realref(rop)); + p_im = mpfr_get_prec (mpc_imagref(rop)); p = p_re; mpc_init3 (z1, p, p_im); /* we round directly the imaginary part to p_im, with rounding mode opposite to rnd_im */ @@ -181,7 +181,7 @@ mpc_acos (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) Im(z) > 0 and rnd_im = RNDZ, we want to round the Im(asin(z)) to -Inf so that -Im(asin(z)) is rounded to zero */ if (rnd_im == GMP_RNDZ) - rnd_im = mpfr_sgn (MPC_IM(op)) > 0 ? GMP_RNDD : GMP_RNDU; + rnd_im = mpfr_sgn (mpc_imagref(op)) > 0 ? GMP_RNDD : GMP_RNDU; else rnd_im = rnd_im == GMP_RNDU ? GMP_RNDD : rnd_im == GMP_RNDD ? GMP_RNDU @@ -192,30 +192,30 @@ mpc_acos (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) { p += mpc_ceil_log2 (p) + 3; - mpfr_set_prec (MPC_RE(z1), p); + mpfr_set_prec (mpc_realref(z1), p); mpfr_set_prec (pi_over_2, p); mpfr_const_pi (pi_over_2, GMP_RNDN); mpfr_div_2exp (pi_over_2, pi_over_2, 1, GMP_RNDN); /* Pi/2 */ e1 = 1; /* Exp(pi_over_2) */ inex = mpc_asin (z1, op, rnd1); /* asin(z) */ - MPC_ASSERT (mpfr_sgn (MPC_IM(z1)) * mpfr_sgn (MPC_IM(op)) > 0); + MPC_ASSERT (mpfr_sgn (mpc_imagref(z1)) * mpfr_sgn (mpc_imagref(op)) > 0); inex_im = MPC_INEX_IM(inex); /* inex_im is in {-1, 0, 1} */ - e2 = mpfr_get_exp (MPC_RE(z1)); - mpfr_sub (MPC_RE(z1), pi_over_2, MPC_RE(z1), GMP_RNDN); - if (!mpfr_zero_p (MPC_RE(z1))) + e2 = mpfr_get_exp (mpc_realref(z1)); + mpfr_sub (mpc_realref(z1), pi_over_2, mpc_realref(z1), GMP_RNDN); + if (!mpfr_zero_p (mpc_realref(z1))) { /* the error on x=Re(z1) is bounded by 1/2 ulp(x) + 2^(e1-p-1) + 2^(e2-p-1) */ e1 = e1 >= e2 ? e1 + 1 : e2 + 1; /* the error on x is bounded by 1/2 ulp(x) + 2^(e1-p-1) */ - e1 -= mpfr_get_exp (MPC_RE(z1)); + e1 -= mpfr_get_exp (mpc_realref(z1)); /* the error on x is bounded by 1/2 ulp(x) [1 + 2^e1] */ e1 = e1 <= 0 ? 0 : e1; /* the error on x is bounded by 2^e1 * ulp(x) */ - mpfr_neg (MPC_IM(z1), MPC_IM(z1), GMP_RNDN); /* exact */ + mpfr_neg (mpc_imagref(z1), mpc_imagref(z1), GMP_RNDN); /* exact */ inex_im = -inex_im; - if (mpfr_can_round (MPC_RE(z1), p - e1, GMP_RNDN, GMP_RNDZ, + if (mpfr_can_round (mpc_realref(z1), p - e1, GMP_RNDN, GMP_RNDZ, p_re + (MPC_RND_RE(rnd) == GMP_RNDN))) break; } |