diff options
Diffstat (limited to 'src/acos.c')
| -rw-r--r-- | src/acos.c | 37 |
1 files changed, 18 insertions, 19 deletions
@@ -1,6 +1,6 @@ /* mpc_acos -- arccosine of a complex number. -Copyright (C) 2009, 2010, 2011 INRIA +Copyright (C) 2009, 2010, 2011, 2012 INRIA This file is part of GNU MPC. @@ -67,7 +67,7 @@ mpc_acos (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) { inex_re = set_pi_over_2 (mpc_realref (rop), +1, MPC_RND_RE (rnd)); - mpfr_div_2ui (mpc_realref (rop), mpc_realref (rop), 1, GMP_RNDN); + mpfr_div_2ui (mpc_realref (rop), mpc_realref (rop), 1, MPFR_RNDN); } else { @@ -88,11 +88,11 @@ mpc_acos (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) { p += mpc_ceil_log2 (p); mpfr_set_prec (x, p); - mpfr_const_pi (x, GMP_RNDD); - mpfr_mul_ui (x, x, 3, GMP_RNDD); + mpfr_const_pi (x, MPFR_RNDD); + mpfr_mul_ui (x, x, 3, MPFR_RNDD); ok = - mpfr_can_round (x, p - 1, GMP_RNDD, MPC_RND_RE (rnd), - prec+(MPC_RND_RE (rnd) == GMP_RNDN)); + mpfr_can_round (x, p - 1, MPFR_RNDD, MPC_RND_RE (rnd), + prec+(MPC_RND_RE (rnd) == MPFR_RNDN)); } while (ok == 0); inex_re = @@ -103,7 +103,7 @@ mpc_acos (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) else { if (mpfr_sgn (mpc_realref (op)) > 0) - mpfr_set_ui (mpc_realref (rop), 0, GMP_RNDN); + mpfr_set_ui (mpc_realref (rop), 0, MPFR_RNDN); else inex_re = mpfr_const_pi (mpc_realref (rop), MPC_RND_RE (rnd)); } @@ -131,7 +131,7 @@ mpc_acos (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) inex_im = -mpfr_acosh (mpc_imagref (rop), mpc_realref (op), INV_RND (MPC_RND_IM (rnd))); - mpfr_set_ui (mpc_realref (rop), 0, GMP_RNDN); + mpfr_set_ui (mpc_realref (rop), 0, MPFR_RNDN); } else if (mpfr_cmp_si (mpc_realref (op), -1) < 0) { @@ -180,13 +180,13 @@ mpc_acos (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) /* the imaginary part of asin(z) has the same sign as Im(z), thus if 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_imagref(op)) > 0 ? GMP_RNDD : GMP_RNDU; + if (rnd_im == MPFR_RNDZ) + rnd_im = mpfr_sgn (mpc_imagref(op)) > 0 ? MPFR_RNDD : MPFR_RNDU; else - rnd_im = rnd_im == GMP_RNDU ? GMP_RNDD - : rnd_im == GMP_RNDD ? GMP_RNDU + rnd_im = rnd_im == MPFR_RNDU ? MPFR_RNDD + : rnd_im == MPFR_RNDD ? MPFR_RNDU : rnd_im; /* both RNDZ and RNDA map to themselves for -asin(z) */ - rnd1 = RNDC(GMP_RNDN, rnd_im); + rnd1 = MPC_RND (MPFR_RNDN, rnd_im); mpfr_init2 (pi_over_2, p); for (;;) { @@ -195,14 +195,13 @@ mpc_acos (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) 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 */ + set_pi_over_2 (pi_over_2, +1, MPFR_RNDN); e1 = 1; /* Exp(pi_over_2) */ inex = mpc_asin (z1, op, rnd1); /* asin(z) */ 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_realref(z1)); - mpfr_sub (mpc_realref(z1), pi_over_2, mpc_realref(z1), GMP_RNDN); + mpfr_sub (mpc_realref(z1), pi_over_2, mpc_realref(z1), MPFR_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) + @@ -213,10 +212,10 @@ mpc_acos (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) /* 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_imagref(z1), mpc_imagref(z1), GMP_RNDN); /* exact */ + mpfr_neg (mpc_imagref(z1), mpc_imagref(z1), MPFR_RNDN); /* exact */ inex_im = -inex_im; - if (mpfr_can_round (mpc_realref(z1), p - e1, GMP_RNDN, GMP_RNDZ, - p_re + (MPC_RND_RE(rnd) == GMP_RNDN))) + if (mpfr_can_round (mpc_realref(z1), p - e1, MPFR_RNDN, MPFR_RNDZ, + p_re + (MPC_RND_RE(rnd) == MPFR_RNDN))) break; } } |