Reformat slowpow.c
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@ -1,5 +1,8 @@
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2013-02-25 Siddhesh Poyarekar <siddhesh@redhat.com>
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* sysdeps/ieee754/dbl-64/slowpow.c: Reformat in GNU coding
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style.
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* sysdeps/ieee754/dbl-64/slowexp.c (__slowexp): Remove commented
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code.
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@ -38,42 +38,59 @@
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# define SECTION
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#endif
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void __mpexp(mp_no *x, mp_no *y, int p);
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void __mplog(mp_no *x, mp_no *y, int p);
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double ulog(double);
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double __halfulp(double x,double y);
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void __mpexp (mp_no *x, mp_no *y, int p);
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void __mplog (mp_no *x, mp_no *y, int p);
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double ulog (double);
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double __halfulp (double x, double y);
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double
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SECTION
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__slowpow(double x, double y, double z) {
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double res,res1;
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mp_no mpx, mpy, mpz,mpw,mpp,mpr,mpr1;
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static const mp_no eps = {-3,{1.0,4.0}};
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__slowpow (double x, double y, double z)
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{
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double res, res1;
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mp_no mpx, mpy, mpz, mpw, mpp, mpr, mpr1;
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static const mp_no eps = {-3, {1.0, 4.0}};
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int p;
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res = __halfulp(x,y); /* halfulp() returns -10 or x^y */
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if (res >= 0) return res; /* if result was really computed by halfulp */
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/* else, if result was not really computed by halfulp */
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p = 10; /* p=precision */
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__dbl_mp(x,&mpx,p);
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__dbl_mp(y,&mpy,p);
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__dbl_mp(z,&mpz,p);
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__mplog(&mpx, &mpz, p); /* log(x) = z */
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__mul(&mpy,&mpz,&mpw,p); /* y * z =w */
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__mpexp(&mpw, &mpp, p); /* e^w =pp */
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__add(&mpp,&eps,&mpr,p); /* pp+eps =r */
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__mp_dbl(&mpr, &res, p);
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__sub(&mpp,&eps,&mpr1,p); /* pp -eps =r1 */
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__mp_dbl(&mpr1, &res1, p); /* converting into double precision */
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if (res == res1) return res;
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/* __HALFULP returns -10 or X^Y. */
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res = __halfulp (x, y);
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p = 32; /* if we get here result wasn't calculated exactly, continue */
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__dbl_mp(x,&mpx,p); /* for more exact calculation */
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__dbl_mp(y,&mpy,p);
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__dbl_mp(z,&mpz,p);
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__mplog(&mpx, &mpz, p); /* log(c)=z */
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__mul(&mpy,&mpz,&mpw,p); /* y*z =w */
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__mpexp(&mpw, &mpp, p); /* e^w=pp */
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__mp_dbl(&mpp, &res, p); /* converting into double precision */
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/* Return if the result was computed by __HALFULP. */
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if (res >= 0)
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return res;
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/* Or else, calculate using multiple precision. P = 10 implies accuracy of
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240 bits accuracy, since MP_NO has a radix of 2^24. */
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p = 10;
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__dbl_mp (x, &mpx, p);
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__dbl_mp (y, &mpy, p);
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__dbl_mp (z, &mpz, p);
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/* z = x ^ y
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log (z) = y * log (x)
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z = exp (y * log (x)) */
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__mplog (&mpx, &mpz, p);
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__mul (&mpy, &mpz, &mpw, p);
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__mpexp (&mpw, &mpp, p);
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/* Add and subtract EPS to ensure that the result remains unchanged, i.e. we
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have last bit accuracy. */
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__add (&mpp, &eps, &mpr, p);
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__mp_dbl (&mpr, &res, p);
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__sub (&mpp, &eps, &mpr1, p);
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__mp_dbl (&mpr1, &res1, p);
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if (res == res1)
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return res;
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/* If we don't, then we repeat using a higher precision. 768 bits of
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precision ought to be enough for anybody. */
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p = 32;
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__dbl_mp (x, &mpx, p);
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__dbl_mp (y, &mpy, p);
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__dbl_mp (z, &mpz, p);
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__mplog (&mpx, &mpz, p);
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__mul (&mpy, &mpz, &mpw, p);
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__mpexp (&mpw, &mpp, p);
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__mp_dbl (&mpp, &res, p);
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return res;
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}
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