math: cleanup exp2.c exp2f.c and exp2l.c
[musl] / src / math / exp2f.c
index 55c22ea..279f32d 100644 (file)
 
 #include "libm.h"
 
-#define TBLBITS 4
-#define TBLSIZE (1 << TBLBITS)
+#define TBLSIZE 16
 
 static const float
-huge  = 0x1p100f,
 redux = 0x1.8p23f / TBLSIZE,
 P1    = 0x1.62e430p-1f,
 P2    = 0x1.ebfbe0p-3f,
 P3    = 0x1.c6b348p-5f,
 P4    = 0x1.3b2c9cp-7f;
 
-static const volatile float twom100 = 0x1p-100f;
-
 static const double exp2ft[TBLSIZE] = {
   0x1.6a09e667f3bcdp-1,
   0x1.7a11473eb0187p-1,
@@ -89,23 +85,25 @@ float exp2f(float x)
 {
        double tv, twopk, u, z;
        float t;
-       uint32_t hx, ix, i0;
-       int32_t k;
+       uint32_t hx, ix, i0, k;
 
        /* Filter out exceptional cases. */
        GET_FLOAT_WORD(hx, x);
        ix = hx & 0x7fffffff;
        if (ix >= 0x43000000) {  /* |x| >= 128 */
                if (ix >= 0x7f800000) {
-                       if ((ix & 0x7fffff) != 0 || (hx & 0x80000000) == 0)
-                               return x + x; /* x is NaN or +Inf */
-                       else
-                               return 0.0;   /* x is -Inf */
+                       if (hx == 0xff800000) /* -inf */
+                               return 0;
+                       return x;
+               }
+               if (x >= 128) {
+                       STRICT_ASSIGN(float, x, x * 0x1p127);
+                       return x;
+               }
+               if (x <= -150) {
+                       STRICT_ASSIGN(float, x, 0x1p-100*0x1p-100);
+                       return x;
                }
-               if (x >= 0x1.0p7f)
-                       return huge * huge;   /* overflow */
-               if (x <= -0x1.2cp7f)
-                       return twom100 * twom100; /* underflow */
        } else if (ix <= 0x33000000) {  /* |x| <= 0x1p-25 */
                return 1.0f + x;
        }
@@ -114,7 +112,7 @@ float exp2f(float x)
        STRICT_ASSIGN(float, t, x + redux);
        GET_FLOAT_WORD(i0, t);
        i0 += TBLSIZE / 2;
-       k = (i0 >> TBLBITS) << 20;
+       k = (i0 / TBLSIZE) << 20;
        i0 &= TBLSIZE - 1;
        t -= redux;
        z = x - t;