+/*
+ * Fixed point arithmetic macros
+ */
+#ifndef FIXED_FRAC_BITS
+#define FIXED_FRAC_BITS 11
+#endif
+
+#define FIXED_SHIFT FIXED_FRAC_BITS
+#define FIXED_ONE (1 << FIXED_SHIFT)
+#define FIXED_HALF (1 << (FIXED_SHIFT-1))
+#define FIXED_FRAC_MASK (FIXED_ONE - 1)
+#define FIXED_INT_MASK (~FIXED_FRAC_MASK)
+#define FIXED_EPSILON 1
+#define FIXED_SCALE ((float) FIXED_ONE)
+#define FIXED_DBL_SCALE ((double) FIXED_ONE)
+#define FloatToFixed(X) (IROUND((X) * FIXED_SCALE))
+#define FixedToDouble(X) ((X) * (1.0 / FIXED_DBL_SCALE))
+#define IntToFixed(I) ((I) << FIXED_SHIFT)
+#define FixedToInt(X) ((X) >> FIXED_SHIFT)
+#define FixedToUns(X) (((unsigned int)(X)) >> FIXED_SHIFT)
+#define FixedCeil(X) (((X) + FIXED_ONE - FIXED_EPSILON) & FIXED_INT_MASK)
+#define FixedFloor(X) ((X) & FIXED_INT_MASK)
+#define FixedToFloat(X) ((X) * (1.0F / FIXED_SCALE))
+#define PosFloatToFixed(X) FloatToFixed(X)
+#define SignedFloatToFixed(X) FloatToFixed(X)
+
+
+
/*
* XXX these macros are just bandages for now in order to make
* CHAN_BITS==32 compile cleanly.