math: fix a regression in powl and do some cleanups

previously a division was accidentally turned into integer div
(w = -i/NXT;) instead of long double div (w = -i; w /= NXT;)

diff --git a/src/math/powl.c b/src/math/powl.c
index 2ee0b10b979b02811d964feabdc6d59964f12b35..ce6274cf73e00c5233acd4954e3d7d2dccf6ff70 100644 (file)
--- a/src/math/powl.c
+++ b/src/math/powl.c
@@ -165,8 +165,6 @@ static const long double R[] = {
  6.9314718055994530931447E-1L,
 };
 
-#define douba(k) A[k]
-#define doubb(k) B[k]
 #define MEXP (NXT*16384.0L)
 /* The following if denormal numbers are supported, else -MEXP: */
 #define MNEXP (-NXT*(16384.0L+64.0L))
@@ -300,15 +298,15 @@ long double powl(long double x, long double y)
 
        /* find significand in antilog table A[] */
        i = 1;
-       if (x <= douba(17))
+       if (x <= A[17])
                i = 17;
-       if (x <= douba(i+8))
+       if (x <= A[i+8])
                i += 8;
-       if (x <= douba(i+4))
+       if (x <= A[i+4])
                i += 4;
-       if (x <= douba(i+2))
+       if (x <= A[i+2])
                i += 2;
-       if (x >= douba(1))
+       if (x >= A[1])
                i = -1;
        i += 1;
 
@@ -319,9 +317,9 @@ long double powl(long double x, long double y)
         *
         * log(x/a) = log(1+v),  v = x/a - 1 = (x-a)/a
         */
-       x -= douba(i);
-       x -= doubb(i/2);
-       x /= douba(i);
+       x -= A[i];
+       x -= B[i/2];
+       x /= A[i];
 
        /* rational approximation for log(1+v):
         *
@@ -340,7 +338,8 @@ long double powl(long double x, long double y)
        z += x;
 
        /* Compute exponent term of the base 2 logarithm. */
-       w = -i / NXT;
+       w = -i;
+       w /= NXT;
        w += e;
        /* Now base 2 log of x is w + z. */
 
@@ -397,7 +396,7 @@ long double powl(long double x, long double y)
                i = 1;
        i = e/NXT + i;
        e = NXT*i - e;
-       w = douba(e);
+       w = A[e];
        z = w * z;  /*  2**-e * ( 1 + (2**Hb-1) )  */
        z = z + w;
        z = scalbnl(z, i);  /* multiply by integer power of 2 */