summaryrefslogtreecommitdiff
path: root/get_str.c
diff options
context:
space:
mode:
authorvlefevre <vlefevre@280ebfd0-de03-0410-8827-d642c229c3f4>2004-01-19 02:39:21 +0000
committervlefevre <vlefevre@280ebfd0-de03-0410-8827-d642c229c3f4>2004-01-19 02:39:21 +0000
commitbd1d6a2f2508c3d85c8f11e566c941de354dd5e9 (patch)
tree9b306fd023ff4e0587633b6cbb777ff75d497685 /get_str.c
parent37cf92f39bfba27c98ef297f8cdb13b0697ba068 (diff)
downloadmpfr-bd1d6a2f2508c3d85c8f11e566c941de354dd5e9.tar.gz
Moved the mpfr_mpn_exp function to a new file "mpn_exp.c" as it is
used by both "get_str.c" and "set_str.c". git-svn-id: svn://scm.gforge.inria.fr/svn/mpfr/trunk@2631 280ebfd0-de03-0410-8827-d642c229c3f4
Diffstat (limited to 'get_str.c')
-rw-r--r--get_str.c132
1 files changed, 0 insertions, 132 deletions
diff --git a/get_str.c b/get_str.c
index 7672f233f..229350526 100644
--- a/get_str.c
+++ b/get_str.c
@@ -183,138 +183,6 @@ _mpfr_ceil (double x)
return ((y < x) ? y + 1.0 : y);
}
-/* this function computes an approximation of b^e in {a, n}, with exponent
- stored in exp_r. The computed value is rounded towards zero (truncated).
- It returns an integer f such that the final error is bounded by 2^f ulps,
- that is:
- a*2^exp_r <= b^e <= 2^exp_r (a + 2^f),
- where a represents {a, n}, i.e. the integer
- a[0] + a[1]*B + ... + a[n-1]*B^(n-1) where B=2^BITS_PER_MP_LIMB */
-long
-mpfr_mpn_exp (mp_limb_t *a, mp_exp_t *exp_r, int b, mp_exp_t e, size_t n)
-{
- mp_limb_t *c, B;
- mp_exp_t f, h;
- int i;
- unsigned long t; /* number of bits in e */
- unsigned long bits;
- size_t n1;
- unsigned int erreur; /* (number - 1) of loop a^2b inexact */
- /* erreur == t meens no error */
- int err_s_a2 = 0;
- int err_s_ab = 0; /* number of error when shift A^2, AB */
- TMP_DECL(marker);
-
- MPFR_ASSERTN(e > 0);
- MPFR_ASSERTN((2 <= b) && (b <= 36));
-
- TMP_MARK(marker);
-
- /* initialization of a, b, f, h */
-
- /* normalize the base */
- B = (mp_limb_t) b;
- count_leading_zeros (h, B);
-
- bits = BITS_PER_MP_LIMB - h;
-
- B = B << h;
- h = - h;
-
- /* allocate space for A and set it to B */
- c = (mp_limb_t*) TMP_ALLOC(2 * n * BYTES_PER_MP_LIMB);
- a [n - 1] = B;
- MPN_ZERO (a, n - 1);
- /* initial exponent for A: invariant is A = {a, n} * 2^f */
- f = h - (n - 1) * BITS_PER_MP_LIMB;
-
- /* determine number of bits in e */
- count_leading_zeros (t, (mp_limb_t) e);
-
- t = BITS_PER_MP_LIMB - t; /* number of bits of exponent e */
-
- erreur = t;
-
- MPN_ZERO (c, 2 * n);
-
- for (i = t - 2; i >= 0; i--)
- {
-
- /* determine precision needed */
- bits = n * BITS_PER_MP_LIMB - mpn_scan1 (a, 0);
- n1 = (n * BITS_PER_MP_LIMB - bits) / BITS_PER_MP_LIMB;
-
- /* square of A : {c+2n1, 2(n-n1)} = {a+n1, n-n1}^2 */
- mpn_sqr_n (c + 2 * n1, a + n1, n - n1);
-
- /* set {c+n, 2n1-n} to 0 : {c, n} = {a, n}^2*K^n */
-
- f = 2 * f + n * BITS_PER_MP_LIMB;
- if ((c[2*n - 1] & MPFR_LIMB_HIGHBIT) == 0)
- {
- /* shift A by one bit to the left */
- mpn_lshift (a, c + n, n, 1);
- a[0] |= mpn_lshift (c + n - 1, c + n - 1, 1, 1);
- f --;
- if (erreur != t)
- err_s_a2 ++;
- }
- else
- MPN_COPY (a, c + n, n);
-
- if ((erreur == t) && (2 * n1 <= n) &&
- (mpn_scan1 (c + 2 * n1, 0) < (n - 2 * n1) * BITS_PER_MP_LIMB))
- erreur = i;
-
- if (e & (1 << i))
- {
- /* multiply A by B */
- c[2 * n - 1] = mpn_mul_1 (c + n - 1, a, n, B);
- f += h + BITS_PER_MP_LIMB;
- if ((c[2 * n - 1] & MPFR_LIMB_HIGHBIT) == 0)
- { /* shift A by one bit to the left */
- mpn_lshift (a, c + n, n, 1);
- a[0] |= mpn_lshift (c + n - 1, c + n - 1, 1, 1);
- f --;
- }
- else
- {
- MPN_COPY (a, c + n, n);
- if (erreur != t)
- err_s_ab ++;
- }
- if ((erreur == t) && (c[n - 1] != 0))
- erreur = i;
-
- }
- }
-
- TMP_FREE(marker);
-
- *exp_r = f;
-
- if (erreur == t)
- return -1; /* exact */
- else
- {
- /* if there are p loops after the first inexact result, with
- j shifts in a^2 and l shifts in a*b, then the final error is
- at most 2^(p+ceil((j+1)/2)+l+1)*ulp(res).
- This is bounded by 2^(5/2*t-1/2) where t is the number of bits of e.
- */
- erreur = erreur + err_s_ab + err_s_a2 / 2 + 3;
- if ((erreur - 1) >= ((n * BITS_PER_MP_LIMB - 1) / 2))
- erreur = n * BITS_PER_MP_LIMB; /* completely wrong: this is very
- unlikely to happen since erreur is
- at most 5/2*log_2(e), and
- n * BITS_PER_MP_LIMB is at least
- 3*log_2(e) */
- }
-
- return erreur;
-}
-
-
/* Input: an approximation r*2^f of an real Y, with |r*2^f-Y| <= 2^(e+f).
Returns if possible in the string s the mantissa corresponding to
the integer nearest to Y, within the direction rnd, and returns the