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Consolidate multiple precision sin/cos functions
This commit is contained in:
Siddhesh Poyarekar
parent
7602d070dc
commit
09544cbcd6
27
ChangeLog
27
ChangeLog
@ -1,3 +1,30 @@
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2013-10-08 Siddhesh Poyarekar <siddhesh@redhat.com>
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* sysdeps/generic/math_private.h (__mpsin1): Remove
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declaration.
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(__mpcos1): Likewise.
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(__mpsin): New argument __range_reduce.
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(__mpcos): Likewise.
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* sysdeps/ieee754/dbl-64/s_sin.c: Likewise.
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(slow): Use __mpsin and __mpcos.
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(slow1): Likewise.
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(slow2): Likewise.
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(sloww): Likewise.
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(sloww1): Likewise.
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(sloww2): Likewise.
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(bsloww): Likewise.
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(bsloww1): Likewise.
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(bsloww2): Likewise.
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(cslow2): Likewise.
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(csloww): Likewise.
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(csloww1): Likewise.
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(csloww2): Likewise.
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* sysdeps/ieee754/dbl-64/sincos32.c (__mpsin): Add argument
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range_reduce. Merge in __mpsin1.
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(__mpcos): Likewise.
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(__mpsin1): Remove.
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(__mpcos1): Likewise.
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2013-10-07 Joseph Myers <joseph@codesourcery.com>
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* locale/loadlocale.c (_nl_intern_locale_data): Use
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@ -356,10 +356,8 @@ extern void __dubcos (double __x, double __dx, double __v[]);
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extern double __halfulp (double __x, double __y);
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extern double __sin32 (double __x, double __res, double __res1);
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extern double __cos32 (double __x, double __res, double __res1);
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extern double __mpsin (double __x, double __dx);
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extern double __mpcos (double __x, double __dx);
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extern double __mpsin1 (double __x);
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extern double __mpcos1 (double __x);
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extern double __mpsin (double __x, double __dx, bool __range_reduce);
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extern double __mpcos (double __x, double __dx, bool __range_reduce);
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extern double __slowexp (double __x);
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extern double __slowpow (double __x, double __y, double __z);
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extern void __docos (double __x, double __dx, double __v[]);
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@ -127,10 +127,8 @@ static const double
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void __dubsin (double x, double dx, double w[]);
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void __docos (double x, double dx, double w[]);
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double __mpsin (double x, double dx);
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double __mpcos (double x, double dx);
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double __mpsin1 (double x);
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double __mpcos1 (double x);
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double __mpsin (double x, double dx, bool reduce_range);
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double __mpcos (double x, double dx, bool reduce_range);
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static double slow (double x);
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static double slow1 (double x);
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static double slow2 (double x);
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@ -722,7 +720,7 @@ slow (double x)
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if (w[0] == w[0] + 1.000000001 * w[1])
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return (x > 0) ? w[0] : -w[0];
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else
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return (x > 0) ? __mpsin (x, 0) : -__mpsin (-x, 0);
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return (x > 0) ? __mpsin (x, 0, false) : -__mpsin (-x, 0, false);
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}
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}
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@ -762,7 +760,7 @@ slow1 (double x)
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if (w[0] == w[0] + 1.000000005 * w[1])
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return (x > 0) ? w[0] : -w[0];
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else
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return (x > 0) ? __mpsin (x, 0) : -__mpsin (-x, 0);
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return (x > 0) ? __mpsin (x, 0, false) : -__mpsin (-x, 0, false);
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}
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}
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@ -815,7 +813,7 @@ slow2 (double x)
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if (w[0] == w[0] + 1.000000005 * w[1])
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return (x > 0) ? w[0] : -w[0];
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else
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return (x > 0) ? __mpsin (x, 0) : -__mpsin (-x, 0);
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return (x > 0) ? __mpsin (x, 0, false) : -__mpsin (-x, 0, false);
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}
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}
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@ -882,7 +880,7 @@ sloww (double x, double dx, double orig)
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if (w[0] == w[0] + cor)
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return (a > 0) ? w[0] : -w[0];
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else
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return __mpsin1 (orig);
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return __mpsin (orig, 0, true);
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}
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}
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}
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@ -939,7 +937,7 @@ sloww1 (double x, double dx, double orig)
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if (w[0] == w[0] + cor)
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return (x > 0) ? w[0] : -w[0];
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else
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return __mpsin1 (orig);
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return __mpsin (orig, 0, true);
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}
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}
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@ -996,7 +994,7 @@ sloww2 (double x, double dx, double orig, int n)
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if (w[0] == w[0] + cor)
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return (n & 2) ? -w[0] : w[0];
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else
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return __mpsin1 (orig);
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return __mpsin (orig, 0, true);
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}
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}
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@ -1028,7 +1026,7 @@ bsloww (double x, double dx, double orig, int n)
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if (w[0] == w[0] + cor)
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return (x > 0) ? w[0] : -w[0];
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else
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return (n & 1) ? __mpcos1 (orig) : __mpsin1 (orig);
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return (n & 1) ? __mpcos (orig, 0, true) : __mpsin (orig, 0, true);
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}
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}
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@ -1079,7 +1077,7 @@ bsloww1 (double x, double dx, double orig, int n)
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if (w[0] == w[0] + cor)
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return (x > 0) ? w[0] : -w[0];
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else
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return (n & 1) ? __mpcos1 (orig) : __mpsin1 (orig);
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return (n & 1) ? __mpcos (orig, 0, true) : __mpsin (orig, 0, true);
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}
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}
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@ -1131,7 +1129,7 @@ bsloww2 (double x, double dx, double orig, int n)
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if (w[0] == w[0] + cor)
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return (n & 2) ? -w[0] : w[0];
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else
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return (n & 1) ? __mpsin1 (orig) : __mpcos1 (orig);
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return (n & 1) ? __mpsin (orig, 0, true) : __mpcos (orig, 0, true);
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}
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}
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@ -1173,7 +1171,7 @@ cslow2 (double x)
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if (w[0] == w[0] + 1.000000005 * w[1])
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return w[0];
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else
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return __mpcos (x, 0);
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return __mpcos (x, 0, false);
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}
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}
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@ -1246,7 +1244,7 @@ csloww (double x, double dx, double orig)
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if (w[0] == w[0] + cor)
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return (a > 0) ? w[0] : -w[0];
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else
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return __mpcos1 (orig);
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return __mpcos (orig, 0, true);
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}
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}
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}
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@ -1301,7 +1299,7 @@ csloww1 (double x, double dx, double orig)
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if (w[0] == w[0] + cor)
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return (x > 0) ? w[0] : -w[0];
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else
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return __mpcos1 (orig);
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return __mpcos (orig, 0, true);
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}
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}
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@ -1357,7 +1355,7 @@ csloww2 (double x, double dx, double orig, int n)
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if (w[0] == w[0] + cor)
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return (n) ? -w[0] : w[0];
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else
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return __mpcos1 (orig);
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return __mpcos (orig, 0, true);
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}
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}
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@ -187,50 +187,119 @@ __cos32 (double x, double res, double res1)
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return (res < res1) ? res : res1;
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}
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/* Compute sin(x+dx) as Multi Precision number and return result as double. */
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/* Compute sin() of double-length number (X + DX) as Multi Precision number and
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return result as double. If REDUCE_RANGE is true, X is assumed to be the
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original input and DX is ignored. */
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double
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SECTION
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__mpsin (double x, double dx)
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__mpsin (double x, double dx, bool reduce_range)
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{
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int p;
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double y;
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mp_no a, b, c;
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p = 32;
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__dbl_mp (x, &a, p);
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__dbl_mp (dx, &b, p);
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__add (&a, &b, &c, p);
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if (x > 0.8)
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mp_no a, b, c, s;
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int n;
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int p = 32;
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if (reduce_range)
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{
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__sub (&hp, &c, &a, p);
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__c32 (&a, &b, &c, p);
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n = __mpranred (x, &a, p); /* n is 0, 1, 2 or 3. */
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__c32 (&a, &c, &s, p);
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}
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else
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__c32 (&c, &a, &b, p); /* b = sin(x+dx) */
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__mp_dbl (&b, &y, p);
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{
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n = -1;
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__dbl_mp (x, &b, p);
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__dbl_mp (dx, &c, p);
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__add (&b, &c, &a, p);
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if (x > 0.8)
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{
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__sub (&hp, &a, &b, p);
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__c32 (&b, &s, &c, p);
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}
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else
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__c32 (&a, &c, &s, p); /* b = sin(x+dx) */
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}
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/* Convert result based on which quarter of unit circle y is in. */
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switch (n)
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{
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case 1:
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__mp_dbl (&c, &y, p);
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break;
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case 3:
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__mp_dbl (&c, &y, p);
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y = -y;
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break;
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case 2:
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__mp_dbl (&s, &y, p);
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y = -y;
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break;
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/* Quadrant not set, so the result must be sin (X + DX), which is also in
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S. */
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case 0:
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default:
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__mp_dbl (&s, &y, p);
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}
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return y;
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}
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/* Compute cos() of double-length number (x+dx) as Multi Precision number and
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return result as double. */
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/* Compute cos() of double-length number (X + DX) as Multi Precision number and
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return result as double. If REDUCE_RANGE is true, X is assumed to be the
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original input and DX is ignored. */
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double
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SECTION
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__mpcos (double x, double dx)
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__mpcos (double x, double dx, bool reduce_range)
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{
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int p;
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double y;
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mp_no a, b, c;
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p = 32;
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__dbl_mp (x, &a, p);
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__dbl_mp (dx, &b, p);
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__add (&a, &b, &c, p);
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if (x > 0.8)
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mp_no a, b, c, s;
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int n;
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int p = 32;
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if (reduce_range)
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{
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__sub (&hp, &c, &b, p);
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__c32 (&b, &c, &a, p);
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n = __mpranred (x, &a, p); /* n is 0, 1, 2 or 3. */
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__c32 (&a, &c, &s, p);
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}
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else
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__c32 (&c, &a, &b, p); /* a = cos(x+dx) */
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__mp_dbl (&a, &y, p);
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{
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n = -1;
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__dbl_mp (x, &b, p);
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__dbl_mp (dx, &c, p);
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__add (&b, &c, &a, p);
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if (x > 0.8)
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{
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__sub (&hp, &a, &b, p);
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__c32 (&b, &s, &c, p);
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}
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else
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__c32 (&a, &c, &s, p); /* a = cos(x+dx) */
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}
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/* Convert result based on which quarter of unit circle y is in. */
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switch (n)
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{
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case 1:
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__mp_dbl (&s, &y, p);
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y = -y;
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break;
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case 3:
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__mp_dbl (&s, &y, p);
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break;
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case 2:
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__mp_dbl (&c, &y, p);
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y = -y;
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break;
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/* Quadrant not set, so the result must be cos (X + DX), which is also
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stored in C. */
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case 0:
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default:
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__mp_dbl (&c, &y, p);
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}
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return y;
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}
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@ -294,84 +363,3 @@ __mpranred (double x, mp_no *y, int p)
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return (n & 3);
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}
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}
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/* Multi-Precision sin() function subroutine, for p = 32. It is based on the
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routines mpranred() and c32(). */
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double
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SECTION
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__mpsin1 (double x)
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{
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int p;
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int n;
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mp_no u, s, c;
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double y;
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p = 32;
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n = __mpranred (x, &u, p); /* n is 0, 1, 2 or 3. */
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__c32 (&u, &c, &s, p);
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/* Convert result based on which quarter of unit circle y is in. */
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switch (n)
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{
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case 0:
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__mp_dbl (&s, &y, p);
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return y;
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break;
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case 2:
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__mp_dbl (&s, &y, p);
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return -y;
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break;
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case 1:
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__mp_dbl (&c, &y, p);
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return y;
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break;
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case 3:
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__mp_dbl (&c, &y, p);
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return -y;
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break;
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}
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/* Unreachable, to make the compiler happy. */
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return 0;
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}
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/* Multi-Precision cos() function subroutine, for p = 32. It is based on the
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routines mpranred() and c32(). */
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double
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SECTION
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__mpcos1 (double x)
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{
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int p;
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int n;
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mp_no u, s, c;
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double y;
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p = 32;
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n = __mpranred (x, &u, p); /* n is 0, 1, 2 or 3. */
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__c32 (&u, &c, &s, p);
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/* Convert result based on which quarter of unit circle y is in. */
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switch (n)
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{
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case 0:
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__mp_dbl (&c, &y, p);
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return y;
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break;
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case 2:
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__mp_dbl (&c, &y, p);
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return -y;
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break;
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case 1:
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__mp_dbl (&s, &y, p);
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return -y;
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break;
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case 3:
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__mp_dbl (&s, &y, p);
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return y;
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break;
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}
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/* Unreachable, to make the compiler happy. */
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return 0;
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}
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