Minor edits and clarifications of comments.

zlib.h

@@ -379,10 +379,11 @@ ZEXTERN int ZEXPORT inflateInit OF((z_streamp strm));
      Initializes the internal stream state for decompression.  The fields
    next_in, avail_in, zalloc, zfree and opaque must be initialized before by
-   the caller.  In the current version of inflate, the provide input is not
-   read or consumed.  Any memory allocation will be deferred to the first call
-   of inflate.  If zalloc and zfree are set to Z_NULL, inflateInit updates them
-   to use default allocation functions.
+   the caller.  In the current version of inflate, the provided input is not
+   read or consumed.  The allocation of a sliding window will be deferred to
+   the first call of inflate (if the decompression does not complete on the
+   first call).  If zalloc and zfree are set to Z_NULL, inflateInit updates
+   them to use default allocation functions.
      inflateInit returns Z_OK if success, Z_MEM_ERROR if there was not enough
    memory, Z_VERSION_ERROR if the zlib library version is incompatible with the
@@ -408,7 +409,7 @@ ZEXTERN int ZEXPORT inflate OF((z_streamp strm, int flush));
   - Decompress more input starting at next_in and update next_in and avail_in
     accordingly.  If not all input can be processed (because there is not
-    enough room in the output buffer), then next_in and avail_on are updated
+    enough room in the output buffer), then next_in and avail_in are updated
     accordingly, and processing will resume at this point for the next call of
     inflate().
@@ -1229,7 +1230,7 @@ ZEXTERN int ZEXPORT compress OF((Bytef *dest,   uLongf *destLen,
    the byte length of the source buffer.  Upon entry, destLen is the total size
    of the destination buffer, which must be at least the value returned by
    compressBound(sourceLen).  Upon exit, destLen is the actual size of the
-   compressed buffer.  compress() is equivalent to compress2() with a level
+   compressed data.  compress() is equivalent to compress2() with a level
    parameter of Z_DEFAULT_COMPRESSION.
      compress returns Z_OK if success, Z_MEM_ERROR if there was not
@@ -1246,7 +1247,7 @@ ZEXTERN int ZEXPORT compress2 OF((Bytef *dest,   uLongf *destLen,
    length of the source buffer.  Upon entry, destLen is the total size of the
    destination buffer, which must be at least the value returned by
    compressBound(sourceLen).  Upon exit, destLen is the actual size of the
-   compressed buffer.
+   compressed data.
      compress2 returns Z_OK if success, Z_MEM_ERROR if there was not enough
    memory, Z_BUF_ERROR if there was not enough room in the output buffer,