diff --git a/gzguts.h b/gzguts.h
index eefdca0..07c7ac3 100644
--- a/gzguts.h
+++ b/gzguts.h
@@ -155,9 +155,10 @@ typedef struct {
     unsigned char *out;     /* output buffer (double-sized when reading) */
     int direct;             /* 0 if processing gzip, 1 if transparent */
         /* just for reading */
-    int eof;                /* true if end of input file reached */
-    z_off64_t start;        /* where the gzip data started, for rewinding */
     int how;                /* 0: get header, 1: copy, 2: decompress */
+    z_off64_t start;        /* where the gzip data started, for rewinding */
+    int eof;                /* true if end of input file reached */
+    int past;               /* true if read requested past end */
         /* just for writing */
     int level;              /* compression level */
     int strategy;           /* compression strategy */
diff --git a/gzlib.c b/gzlib.c
index e53b6ab..d998d07 100644
--- a/gzlib.c
+++ b/gzlib.c
@@ -78,6 +78,7 @@ local void gz_reset(state)
     state->x.have = 0;              /* no output data available */
     if (state->mode == GZ_READ) {   /* for reading ... */
         state->eof = 0;             /* not at end of file */
+        state->past = 0;            /* have not read past end yet */
         state->how = LOOK;          /* look for gzip header */
     }
     state->seek = 0;                /* no seek request pending */
@@ -331,6 +332,7 @@ z_off64_t ZEXPORT gzseek64(file, offset, whence)
             return -1;
         state->x.have = 0;
         state->eof = 0;
+        state->past = 0;
         state->seek = 0;
         gz_error(state, Z_OK, NULL);
         state->strm.avail_in = 0;
@@ -453,8 +455,7 @@ int ZEXPORT gzeof(file)
         return 0;
 
     /* return end-of-file state */
-    return state->mode == GZ_READ ?
-        (state->eof && state->strm.avail_in == 0 && state->x.have == 0) : 0;
+    return state->mode == GZ_READ ? state->past : 0;
 }
 
 /* -- see zlib.h -- */
@@ -491,8 +492,10 @@ void ZEXPORT gzclearerr(file)
         return;
 
     /* clear error and end-of-file */
-    if (state->mode == GZ_READ)
+    if (state->mode == GZ_READ) {
         state->eof = 0;
+        state->past = 0;
+    }
     gz_error(state, Z_OK, NULL);
 }
 
diff --git a/gzread.c b/gzread.c
index 521e26f..cda7935 100644
--- a/gzread.c
+++ b/gzread.c
@@ -329,8 +329,10 @@ int ZEXPORT gzread(file, buf, len)
         }
 
         /* output buffer empty -- return if we're at the end of the input */
-        else if (state->eof && strm->avail_in == 0)
+        else if (state->eof && strm->avail_in == 0) {
+            state->past = 1;        /* tried to read past end */
             break;
+        }
 
         /* need output data -- for small len or new stream load up our output
            buffer */
@@ -437,6 +439,7 @@ int ZEXPORT gzungetc(c, file)
         state->x.next = state->out + (state->size << 1) - 1;
         state->x.next[0] = c;
         state->x.pos--;
+        state->past = 0;
         return c;
     }
 
@@ -458,6 +461,7 @@ int ZEXPORT gzungetc(c, file)
     state->x.next--;
     state->x.next[0] = c;
     state->x.pos--;
+    state->past = 0;
     return c;
 }
 
@@ -499,9 +503,8 @@ char * ZEXPORT gzgets(file, buf, len)
         if (state->x.have == 0 && gz_fetch(state) == -1)
             return NULL;                /* error */
         if (state->x.have == 0) {       /* end of file */
-            if (buf == str)             /* got bupkus */
-                return NULL;
-            break;                      /* got something -- return it */
+            state->past = 1;            /* read past end */
+            break;                      /* return what we have */
         }
 
         /* look for end-of-line in current output buffer */
@@ -519,7 +522,9 @@ char * ZEXPORT gzgets(file, buf, len)
         buf += n;
     } while (left && eol == NULL);
 
-    /* found end-of-line or out of space -- terminate string and return it */
+    /* return terminated string, or if nothing, end of file */
+    if (buf == str)
+        return NULL;
     buf[0] = 0;
     return str;
 }