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author | enge <enge@211d60ee-9f03-0410-a15a-8952a2c7a4e4> | 2011-11-04 18:39:52 +0000 |
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committer | enge <enge@211d60ee-9f03-0410-a15a-8952a2c7a4e4> | 2011-11-04 18:39:52 +0000 |
commit | 5ad0bccecc2c0aafdc23571a491fccc31171c22c (patch) | |
tree | fbb979252a636e9fc3215e15e12be49ca6d35a95 /src/sin_cos.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/sin_cos.c')
-rw-r--r-- | src/sin_cos.c | 128 |
1 files changed, 64 insertions, 64 deletions
diff --git a/src/sin_cos.c b/src/sin_cos.c index 99a0772..0cff45a 100644 --- a/src/sin_cos.c +++ b/src/sin_cos.c @@ -37,38 +37,38 @@ mpc_sin_cos_nonfinite (mpc_ptr rop_sin, mpc_ptr rop_cos, mpc_srcptr op, op_loc [0] = op [0]; if (rop_sin != NULL) { - if (mpfr_nan_p (MPC_RE (op_loc)) || mpfr_nan_p (MPC_IM (op_loc))) { + if (mpfr_nan_p (mpc_realref (op_loc)) || mpfr_nan_p (mpc_imagref (op_loc))) { mpc_set (rop_sin, op_loc, rnd_sin); - if (mpfr_nan_p (MPC_IM (op_loc))) { + if (mpfr_nan_p (mpc_imagref (op_loc))) { /* sin(x +i*NaN) = NaN +i*NaN, except for x=0 */ /* sin(-0 +i*NaN) = -0 +i*NaN */ /* sin(+0 +i*NaN) = +0 +i*NaN */ - if (!mpfr_zero_p (MPC_RE (op_loc))) - mpfr_set_nan (MPC_RE (rop_sin)); + if (!mpfr_zero_p (mpc_realref (op_loc))) + mpfr_set_nan (mpc_realref (rop_sin)); } else /* op = NaN + i*y */ - if (!mpfr_inf_p (MPC_IM (op_loc)) && !mpfr_zero_p (MPC_IM (op_loc))) + if (!mpfr_inf_p (mpc_imagref (op_loc)) && !mpfr_zero_p (mpc_imagref (op_loc))) /* sin(NaN -i*Inf) = NaN -i*Inf */ /* sin(NaN -i*0) = NaN -i*0 */ /* sin(NaN +i*0) = NaN +i*0 */ /* sin(NaN +i*Inf) = NaN +i*Inf */ /* sin(NaN +i*y) = NaN +i*NaN, when 0<|y|<Inf */ - mpfr_set_nan (MPC_IM (rop_sin)); + mpfr_set_nan (mpc_imagref (rop_sin)); } - else if (mpfr_inf_p (MPC_RE (op_loc))) { - mpfr_set_nan (MPC_RE (rop_sin)); + else if (mpfr_inf_p (mpc_realref (op_loc))) { + mpfr_set_nan (mpc_realref (rop_sin)); - if (!mpfr_inf_p (MPC_IM (op_loc)) && !mpfr_zero_p (MPC_IM (op_loc))) + if (!mpfr_inf_p (mpc_imagref (op_loc)) && !mpfr_zero_p (mpc_imagref (op_loc))) /* sin(+/-Inf +i*y) = NaN +i*NaN, when 0<|y|<Inf */ - mpfr_set_nan (MPC_IM (rop_sin)); + mpfr_set_nan (mpc_imagref (rop_sin)); else /* sin(+/-Inf -i*Inf) = NaN -i*Inf */ /* sin(+/-Inf +i*Inf) = NaN +i*Inf */ /* sin(+/-Inf -i*0) = NaN -i*0 */ /* sin(+/-Inf +i*0) = NaN +i*0 */ - mpfr_set (MPC_IM (rop_sin), MPC_IM (op_loc), MPC_RND_IM (rnd_sin)); + mpfr_set (mpc_imagref (rop_sin), mpc_imagref (op_loc), MPC_RND_IM (rnd_sin)); } - else if (mpfr_zero_p (MPC_RE (op_loc))) { + else if (mpfr_zero_p (mpc_realref (op_loc))) { /* sin(-0 -i*Inf) = -0 -i*Inf */ /* sin(+0 -i*Inf) = +0 -i*Inf */ /* sin(-0 +i*Inf) = -0 +i*Inf */ @@ -81,46 +81,46 @@ mpc_sin_cos_nonfinite (mpc_ptr rop_sin, mpc_ptr rop_cos, mpc_srcptr op, mpfr_t s, c; mpfr_init2 (s, 2); mpfr_init2 (c, 2); - mpfr_sin_cos (s, c, MPC_RE (op_loc), GMP_RNDZ); - mpfr_set_inf (MPC_RE (rop_sin), MPFR_SIGN (s)); - mpfr_set_inf (MPC_IM (rop_sin), MPFR_SIGN (c)*MPFR_SIGN (MPC_IM (op_loc))); + mpfr_sin_cos (s, c, mpc_realref (op_loc), GMP_RNDZ); + mpfr_set_inf (mpc_realref (rop_sin), MPFR_SIGN (s)); + mpfr_set_inf (mpc_imagref (rop_sin), MPFR_SIGN (c)*MPFR_SIGN (mpc_imagref (op_loc))); mpfr_clear (s); mpfr_clear (c); } } if (rop_cos != NULL) { - if (mpfr_nan_p (MPC_RE (op_loc))) { + if (mpfr_nan_p (mpc_realref (op_loc))) { /* cos(NaN + i * NaN) = NaN + i * NaN */ /* cos(NaN - i * Inf) = +Inf + i * NaN */ /* cos(NaN + i * Inf) = +Inf + i * NaN */ /* cos(NaN - i * 0) = NaN - i * 0 */ /* cos(NaN + i * 0) = NaN + i * 0 */ /* cos(NaN + i * y) = NaN + i * NaN, when y != 0 */ - if (mpfr_inf_p (MPC_IM (op_loc))) - mpfr_set_inf (MPC_RE (rop_cos), +1); + if (mpfr_inf_p (mpc_imagref (op_loc))) + mpfr_set_inf (mpc_realref (rop_cos), +1); else - mpfr_set_nan (MPC_RE (rop_cos)); + mpfr_set_nan (mpc_realref (rop_cos)); - if (mpfr_zero_p (MPC_IM (op_loc))) - mpfr_set (MPC_IM (rop_cos), MPC_IM (op_loc), MPC_RND_IM (rnd_cos)); + if (mpfr_zero_p (mpc_imagref (op_loc))) + mpfr_set (mpc_imagref (rop_cos), mpc_imagref (op_loc), MPC_RND_IM (rnd_cos)); else - mpfr_set_nan (MPC_IM (rop_cos)); + mpfr_set_nan (mpc_imagref (rop_cos)); } - else if (mpfr_nan_p (MPC_IM (op_loc))) { + else if (mpfr_nan_p (mpc_imagref (op_loc))) { /* cos(-Inf + i * NaN) = NaN + i * NaN */ /* cos(+Inf + i * NaN) = NaN + i * NaN */ /* cos(-0 + i * NaN) = NaN - i * 0 */ /* cos(+0 + i * NaN) = NaN + i * 0 */ /* cos(x + i * NaN) = NaN + i * NaN, when x != 0 */ - if (mpfr_zero_p (MPC_RE (op_loc))) - mpfr_set (MPC_IM (rop_cos), MPC_RE (op_loc), MPC_RND_IM (rnd_cos)); + if (mpfr_zero_p (mpc_realref (op_loc))) + mpfr_set (mpc_imagref (rop_cos), mpc_realref (op_loc), MPC_RND_IM (rnd_cos)); else - mpfr_set_nan (MPC_IM (rop_cos)); + mpfr_set_nan (mpc_imagref (rop_cos)); - mpfr_set_nan (MPC_RE (rop_cos)); + mpfr_set_nan (mpc_realref (rop_cos)); } - else if (mpfr_inf_p (MPC_RE (op_loc))) { + else if (mpfr_inf_p (mpc_realref (op_loc))) { /* cos(-Inf -i*Inf) = cos(+Inf +i*Inf) = -Inf +i*NaN */ /* cos(-Inf +i*Inf) = cos(+Inf -i*Inf) = +Inf +i*NaN */ /* cos(-Inf -i*0) = cos(+Inf +i*0) = NaN -i*0 */ @@ -128,28 +128,28 @@ mpc_sin_cos_nonfinite (mpc_ptr rop_sin, mpc_ptr rop_cos, mpc_srcptr op, /* cos(-Inf +i*y) = cos(+Inf +i*y) = NaN +i*NaN, when y != 0 */ const int same_sign = - mpfr_signbit (MPC_RE (op_loc)) == mpfr_signbit (MPC_IM (op_loc)); + mpfr_signbit (mpc_realref (op_loc)) == mpfr_signbit (mpc_imagref (op_loc)); - if (mpfr_inf_p (MPC_IM (op_loc))) - mpfr_set_inf (MPC_RE (rop_cos), (same_sign ? -1 : +1)); + if (mpfr_inf_p (mpc_imagref (op_loc))) + mpfr_set_inf (mpc_realref (rop_cos), (same_sign ? -1 : +1)); else - mpfr_set_nan (MPC_RE (rop_cos)); + mpfr_set_nan (mpc_realref (rop_cos)); - if (mpfr_zero_p (MPC_IM (op_loc))) - mpfr_setsign (MPC_IM (rop_cos), MPC_IM (op_loc), same_sign, + if (mpfr_zero_p (mpc_imagref (op_loc))) + mpfr_setsign (mpc_imagref (rop_cos), mpc_imagref (op_loc), same_sign, MPC_RND_IM(rnd_cos)); else - mpfr_set_nan (MPC_IM (rop_cos)); + mpfr_set_nan (mpc_imagref (rop_cos)); } - else if (mpfr_zero_p (MPC_RE (op_loc))) { + else if (mpfr_zero_p (mpc_realref (op_loc))) { /* cos(-0 -i*Inf) = cos(+0 +i*Inf) = +Inf -i*0 */ /* cos(-0 +i*Inf) = cos(+0 -i*Inf) = +Inf +i*0 */ const int same_sign = - mpfr_signbit (MPC_RE (op_loc)) == mpfr_signbit (MPC_IM (op_loc)); + mpfr_signbit (mpc_realref (op_loc)) == mpfr_signbit (mpc_imagref (op_loc)); - mpfr_setsign (MPC_IM (rop_cos), MPC_RE (op_loc), same_sign, + mpfr_setsign (mpc_imagref (rop_cos), mpc_realref (op_loc), same_sign, MPC_RND_IM (rnd_cos)); - mpfr_set_inf (MPC_RE (rop_cos), +1); + mpfr_set_inf (mpc_realref (rop_cos), +1); } else { /* cos(x -i*Inf) = +Inf*cos(x) +i*Inf*sin(x), when x != 0 */ @@ -157,10 +157,10 @@ mpc_sin_cos_nonfinite (mpc_ptr rop_sin, mpc_ptr rop_cos, mpc_srcptr op, mpfr_t s, c; mpfr_init2 (c, 2); mpfr_init2 (s, 2); - mpfr_sin_cos (s, c, MPC_RE (op_loc), GMP_RNDN); - mpfr_set_inf (MPC_RE (rop_cos), mpfr_sgn (c)); - mpfr_set_inf (MPC_IM (rop_cos), - (mpfr_sgn (MPC_IM (op_loc)) == mpfr_sgn (s) ? -1 : +1)); + mpfr_sin_cos (s, c, mpc_realref (op_loc), GMP_RNDN); + mpfr_set_inf (mpc_realref (rop_cos), mpfr_sgn (c)); + mpfr_set_inf (mpc_imagref (rop_cos), + (mpfr_sgn (mpc_imagref (op_loc)) == mpfr_sgn (s) ? -1 : +1)); mpfr_clear (s); mpfr_clear (c); } @@ -184,7 +184,7 @@ mpc_sin_cos_real (mpc_ptr rop_sin, mpc_ptr rop_cos, mpc_srcptr op, by definition, for not computed values. */ mpfr_t s, c; int inex_s, inex_c; - int sign_im = mpfr_signbit (MPC_IM (op)); + int sign_im = mpfr_signbit (mpc_imagref (op)); /* sin(x +-0*i) = sin(x) +-0*i*sign(cos(x)) */ /* cos(x +-i*0) = cos(x) -+i*0*sign(sin(x)) */ @@ -196,24 +196,24 @@ mpc_sin_cos_real (mpc_ptr rop_sin, mpc_ptr rop_cos, mpc_srcptr op, mpfr_init2 (c, MPC_PREC_RE (rop_cos)); else mpfr_init2 (c, 2); - inex_s = mpfr_sin (s, MPC_RE (op), MPC_RND_RE (rnd_sin)); - inex_c = mpfr_cos (c, MPC_RE (op), MPC_RND_RE (rnd_cos)); + inex_s = mpfr_sin (s, mpc_realref (op), MPC_RND_RE (rnd_sin)); + inex_c = mpfr_cos (c, mpc_realref (op), MPC_RND_RE (rnd_cos)); /* We cannot use mpfr_sin_cos since we may need two distinct rounding modes and the exact return values. If we need only the sign, an arbitrary rounding mode will work. */ if (rop_sin != NULL) { - mpfr_set (MPC_RE (rop_sin), s, GMP_RNDN); /* exact */ + mpfr_set (mpc_realref (rop_sin), s, GMP_RNDN); /* exact */ inex_sin_re = inex_s; - mpfr_set_zero (MPC_IM (rop_sin), + mpfr_set_zero (mpc_imagref (rop_sin), ( ( sign_im && !mpfr_signbit(c)) || (!sign_im && mpfr_signbit(c)) ? -1 : 1)); } if (rop_cos != NULL) { - mpfr_set (MPC_RE (rop_cos), c, GMP_RNDN); /* exact */ + mpfr_set (mpc_realref (rop_cos), c, GMP_RNDN); /* exact */ inex_cos_re = inex_c; - mpfr_set_zero (MPC_IM (rop_cos), + mpfr_set_zero (mpc_imagref (rop_cos), ( ( sign_im && mpfr_signbit(s)) || (!sign_im && !mpfr_signbit(s)) ? -1 : 1)); } @@ -245,19 +245,19 @@ mpc_sin_cos_imag (mpc_ptr rop_sin, mpc_ptr rop_cos, mpc_srcptr op, if (rop_sin != NULL) { /* sin(+-O +i*y) = +-0 +i*sinh(y) */ - mpfr_set (MPC_RE(rop_sin), MPC_RE(op_loc), GMP_RNDN); - inex_sin_im = mpfr_sinh (MPC_IM(rop_sin), MPC_IM(op_loc), MPC_RND_IM(rnd_sin)); + mpfr_set (mpc_realref(rop_sin), mpc_realref(op_loc), GMP_RNDN); + inex_sin_im = mpfr_sinh (mpc_imagref(rop_sin), mpc_imagref(op_loc), MPC_RND_IM(rnd_sin)); } if (rop_cos != NULL) { /* cos(-0 - i * y) = cos(+0 + i * y) = cosh(y) - i * 0, cos(-0 + i * y) = cos(+0 - i * y) = cosh(y) + i * 0, where y > 0 */ - inex_cos_re = mpfr_cosh (MPC_RE (rop_cos), MPC_IM (op_loc), MPC_RND_RE (rnd_cos)); + inex_cos_re = mpfr_cosh (mpc_realref (rop_cos), mpc_imagref (op_loc), MPC_RND_RE (rnd_cos)); - mpfr_set_ui (MPC_IM (rop_cos), 0ul, MPC_RND_IM (rnd_cos)); - if (mpfr_signbit (MPC_RE (op_loc)) == mpfr_signbit (MPC_IM (op_loc))) - MPFR_CHANGE_SIGN (MPC_IM (rop_cos)); + mpfr_set_ui (mpc_imagref (rop_cos), 0ul, MPC_RND_IM (rnd_cos)); + if (mpfr_signbit (mpc_realref (op_loc)) == mpfr_signbit (mpc_imagref (op_loc))) + MPFR_CHANGE_SIGN (mpc_imagref (rop_cos)); } if (overlap) @@ -276,9 +276,9 @@ mpc_sin_cos (mpc_ptr rop_sin, mpc_ptr rop_cos, mpc_srcptr op, { if (!mpc_fin_p (op)) return mpc_sin_cos_nonfinite (rop_sin, rop_cos, op, rnd_sin, rnd_cos); - else if (mpfr_zero_p (MPC_IM (op))) + else if (mpfr_zero_p (mpc_imagref (op))) return mpc_sin_cos_real (rop_sin, rop_cos, op, rnd_sin, rnd_cos); - else if (mpfr_zero_p (MPC_RE (op))) + else if (mpfr_zero_p (mpc_realref (op))) return mpc_sin_cos_imag (rop_sin, rop_cos, op, rnd_sin, rnd_cos); else { /* let op = a + i*b, then sin(op) = sin(a)*cosh(b) + i*cos(a)*sinh(b) @@ -325,8 +325,8 @@ mpc_sin_cos (mpc_ptr rop_sin, mpc_ptr rop_cos, mpc_srcptr op, mpfr_set_prec (sch, prec); mpfr_set_prec (csh, prec); - mpfr_sin_cos (s, c, MPC_RE(op), GMP_RNDN); - mpfr_sinh_cosh (sh, ch, MPC_IM(op), GMP_RNDN); + mpfr_sin_cos (s, c, mpc_realref(op), GMP_RNDN); + mpfr_sinh_cosh (sh, ch, mpc_imagref(op), GMP_RNDN); if (rop_sin != NULL) { /* real part of sine */ @@ -367,10 +367,10 @@ mpc_sin_cos (mpc_ptr rop_sin, mpc_ptr rop_cos, mpc_srcptr op, } while (ok == 0); if (rop_sin != NULL) { - inex_re = mpfr_set (MPC_RE (rop_sin), sch, MPC_RND_RE (rnd_sin)); + inex_re = mpfr_set (mpc_realref (rop_sin), sch, MPC_RND_RE (rnd_sin)); if (mpfr_inf_p (sch)) inex_re = mpfr_sgn (sch); - inex_im = mpfr_set (MPC_IM (rop_sin), csh, MPC_RND_IM (rnd_sin)); + inex_im = mpfr_set (mpc_imagref (rop_sin), csh, MPC_RND_IM (rnd_sin)); if (mpfr_inf_p (csh)) inex_im = mpfr_sgn (csh); inex_sin = MPC_INEX (inex_re, inex_im); @@ -379,10 +379,10 @@ mpc_sin_cos (mpc_ptr rop_sin, mpc_ptr rop_cos, mpc_srcptr op, inex_sin = MPC_INEX (0,0); /* return exact if not computed */ if (rop_cos != NULL) { - inex_re = mpfr_set (MPC_RE (rop_cos), c, MPC_RND_RE (rnd_cos)); + inex_re = mpfr_set (mpc_realref (rop_cos), c, MPC_RND_RE (rnd_cos)); if (mpfr_inf_p (c)) inex_re = mpfr_sgn (c); - inex_im = mpfr_set (MPC_IM (rop_cos), s, MPC_RND_IM (rnd_cos)); + inex_im = mpfr_set (mpc_imagref (rop_cos), s, MPC_RND_IM (rnd_cos)); if (mpfr_inf_p (s)) inex_im = mpfr_sgn (s); inex_cos = MPC_INEX (inex_re, inex_im); |