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Fix formatting in mpexp.c
This commit is contained in:
Siddhesh Poyarekar
parent
751b85f795
commit
7490eb81ae
@ -1,5 +1,7 @@
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2013-01-10 Siddhesh Poyarekar <siddhesh@redhat.com>
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* sysdeps/ieee754/dbl-64/mpexp.c: Fix formatting.
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* sysdeps/ieee754/dbl-64/mpexp.c (__mpexp): New array of
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doubles __mpexp_twomm1. Adjust usage.
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* sysdeps/ieee754/dbl-64/mpexp.h (__mpexp_twomm1):
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@ -37,17 +37,20 @@
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# define SECTION
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#endif
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/* Multi-Precision exponential function subroutine (for p >= 4, */
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/* 2**(-55) <= abs(x) <= 1024). */
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/* Multi-Precision exponential function subroutine (for p >= 4,
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2**(-55) <= abs(x) <= 1024). */
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void
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SECTION
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__mpexp(mp_no *x, mp_no *y, int p) {
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int i,j,k,m,m1,m2,n;
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double a,b;
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static const int np[33] = {0,0,0,0,3,3,4,4,5,4,4,5,5,5,6,6,6,6,6,6,
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6,6,6,6,7,7,7,7,8,8,8,8,8};
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static const int m1p[33]=
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__mpexp (mp_no *x, mp_no *y, int p)
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{
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int i, j, k, m, m1, m2, n;
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double a, b;
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static const int np[33] =
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{
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0, 0, 0, 0, 3, 3, 4, 4, 5, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6,
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6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8
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};
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static const int m1p[33] =
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{
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0, 0, 0, 0,
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17, 23, 23, 28,
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@ -72,29 +75,55 @@ __mpexp(mp_no *x, mp_no *y, int p) {
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0x1.0p-70, 0x1.0p-73, 0x1.0p-76, 0x1.0p-78,
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0x1.0p-81
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};
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static const int m1np[7][18] = {
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{ 0, 0, 0, 0,36,48,60,72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{ 0, 0, 0, 0,24,32,40,48,56,64,72, 0, 0, 0, 0, 0, 0, 0},
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{ 0, 0, 0, 0,17,23,29,35,41,47,53,59,65, 0, 0, 0, 0, 0},
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{ 0, 0, 0, 0, 0, 0,23,28,33,38,42,47,52,57,62,66, 0, 0},
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{ 0, 0, 0, 0, 0, 0, 0, 0,27, 0, 0,39,43,47,51,55,59,63},
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,43,47,50,54}};
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mp_no mpk = {0,{0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
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0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
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0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0}};
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mp_no mps,mpak,mpt1,mpt2;
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static const int m1np[7][18] =
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{
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{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{0, 0, 0, 0, 36, 48, 60, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{0, 0, 0, 0, 24, 32, 40, 48, 56, 64, 72, 0, 0, 0, 0, 0, 0, 0},
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{0, 0, 0, 0, 17, 23, 29, 35, 41, 47, 53, 59, 65, 0, 0, 0, 0, 0},
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{0, 0, 0, 0, 0, 0, 23, 28, 33, 38, 42, 47, 52, 57, 62, 66, 0, 0},
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{0, 0, 0, 0, 0, 0, 0, 0, 27, 0, 0, 39, 43, 47, 51, 55, 59, 63},
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{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 43, 47, 50, 54}
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};
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mp_no mpk =
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{
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0,
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{
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0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
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0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
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0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0
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}
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};
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mp_no mps, mpak, mpt1, mpt2;
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/* Choose m,n and compute a=2**(-m) */
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n = np[p]; m1 = m1p[p]; a = __mpexp_twomm1[p];
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for (i=0; i<EX; i++) a *= RADIXI;
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for ( ; i>EX; i--) a *= RADIX;
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b = X[1]*RADIXI; m2 = 24*EX;
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for (; b<HALF; m2--) { a *= TWO; b *= TWO; }
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if (b == HALF) {
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for (i=2; i<=p; i++) { if (X[i]!=ZERO) break; }
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if (i==p+1) { m2--; a *= TWO; }
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}
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/* Choose m,n and compute a=2**(-m). */
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n = np[p];
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m1 = m1p[p];
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a = __mpexp_twomm1[p];
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for (i = 0; i < EX; i++)
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a *= RADIXI;
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for (; i > EX; i--)
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a *= RADIX;
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b = X[1] * RADIXI;
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m2 = 24 * EX;
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for (; b < HALF; m2--)
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{
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a *= TWO;
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b *= TWO;
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}
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if (b == HALF)
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{
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for (i = 2; i <= p; i++)
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{
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if (X[i] != ZERO)
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break;
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}
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if (i == p + 1)
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{
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m2--;
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a *= TWO;
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}
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}
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m = m1 + m2;
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if (__glibc_unlikely (m <= 0))
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@ -112,30 +141,42 @@ __mpexp(mp_no *x, mp_no *y, int p) {
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break;
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}
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/* Compute s=x*2**(-m). Put result in mps */
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__dbl_mp(a,&mpt1,p);
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__mul(x,&mpt1,&mps,p);
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/* Compute s=x*2**(-m). Put result in mps. */
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__dbl_mp (a, &mpt1, p);
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__mul (x, &mpt1, &mps, p);
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/* Evaluate the polynomial. Put result in mpt2 */
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mpk.e = 1; mpk.d[0] = ONE; mpk.d[1]=n;
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__dvd(&mps,&mpk,&mpt1,p);
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__add(&mpone,&mpt1,&mpak,p);
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for (k=n-1; k>1; k--) {
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__mul(&mps,&mpak,&mpt1,p);
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mpk.d[1] = k;
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__dvd(&mpt1,&mpk,&mpt2,p);
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__add(&mpone,&mpt2,&mpak,p);
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}
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__mul(&mps,&mpak,&mpt1,p);
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__add(&mpone,&mpt1,&mpt2,p);
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/* Evaluate the polynomial. Put result in mpt2. */
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mpk.e = 1;
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mpk.d[0] = ONE;
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mpk.d[1] = n;
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__dvd (&mps, &mpk, &mpt1, p);
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__add (&mpone, &mpt1, &mpak, p);
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for (k = n - 1; k > 1; k--)
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{
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__mul (&mps, &mpak, &mpt1, p);
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mpk.d[1] = k;
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__dvd (&mpt1, &mpk, &mpt2, p);
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__add (&mpone, &mpt2, &mpak, p);
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}
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__mul (&mps, &mpak, &mpt1, p);
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__add (&mpone, &mpt1, &mpt2, p);
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/* Raise polynomial value to the power of 2**m. Put result in y */
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for (k=0,j=0; k<m; ) {
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__mul(&mpt2,&mpt2,&mpt1,p); k++;
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if (k==m) { j=1; break; }
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__mul(&mpt1,&mpt1,&mpt2,p); k++;
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}
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if (j) __cpy(&mpt1,y,p);
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else __cpy(&mpt2,y,p);
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/* Raise polynomial value to the power of 2**m. Put result in y. */
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for (k = 0, j = 0; k < m;)
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{
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__mul (&mpt2, &mpt2, &mpt1, p);
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k++;
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if (k == m)
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{
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j = 1;
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break;
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}
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__mul (&mpt1, &mpt1, &mpt2, p);
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k++;
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}
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if (j)
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__cpy (&mpt1, y, p);
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else
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__cpy (&mpt2, y, p);
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return;
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}
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