Add implementation of window function ntile().

FossilOrigin-Name: 3f093f608c6cc193aac77e7eafa8006c27a7776682d9d7b6e743710dff41ae42

diff --git a/manifest b/manifest
index 1626534faaae939ef12775050b98cabbff1220fa..7bec7c33f27176f0db45d9dfa6abfdae07d6b899 100644 (file)
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Merge\slatest\strunk\schanges\sinto\sthis\sbranch.
-D 2018-06-04T08:28:18.148
+C Add\simplementation\sof\swindow\sfunction\sntile().
+D 2018-06-04T18:55:11.391
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -583,7 +583,7 @@ F src/where.c 60ec752fcbe9f9e0271ac60548d159a540a1ee47a4f9fedc85e88a3d0e392dd1
 F src/whereInt.h cbae2bcd37cfebdb7812a8b188cdb19634ced2b9346470d1c270556b0c33ea53
 F src/wherecode.c 728c7f70731430ccdac807a79969873e1af6968bf1c4745dff3f9dd35f636cc8
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
-F src/window.c 0a6bc6bd759c0a2a2dc033f02837d8bf9d0851cb03b98a59f86b09e0c1443b85
+F src/window.c ea479ab9cf46412c1b06f5ff1b12919dea4adb3ca03efebce961449272a9a98e
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1616,11 +1616,13 @@ F test/win32heap.test 10fd891266bd00af68671e702317726375e5407561d859be1aa04696f2
 F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
-F test/window1.test 5705337783d220b47f6fb4432264543b7557a05be8013d772f57d71f2fded271
+F test/window1.test 905fe0842eacfd61e2f30ef7b0a84a7325ffa5cbbcd717ca30f25a142c3bca90
 F test/window2.tcl 0983de5eade5eeda49469244799d5331bfe3199fca3f6c6d2a836aa08f4fba1b
 F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
-F test/window3.tcl 1c8da1cfaa1297bbd1bb888ad8616c743e2e8b821d2ba148f949ff019fc258df
-F test/window3.test 25340bf9b61a35396f6e2e0913faea549b3172c0190279fec8a39779a234a741
+F test/window3.tcl 3efd83d35d59ab160b6d9ac72265f4b88222e6809214e7dd2ad19cdc33931521
+F test/window3.test 26697e923633bed6e5ee2c41d47f0fc75b177276cab7537eac7e4d7fb320a142
+F test/window4.tcl 3f81bec5bc42fcde751a92bb73ded3887c4448f024de40aff9dc2be798c1dd75
+F test/window4.test 41754c453131017f6bea755e9aef47076090920af2eb837a33e01362717e88f9
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1737,7 +1739,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 76543f7dd3a2310f6e81a1bae17db9bb5d2cf10c1b87ed3f8394b3e75576078b 1ecb3aa13de5c8dc611b814ff34010de0bd90aae73d88aa37a59c4627be4cc2d
-R c606c1190461bb6eccc9b4b19cdd62a3
+P 83d6416a868fac81a78c9507185a48d00920e4322276245e285946f760915f4a
+R 62a7ad8fbe69dabdaa9c102d3a72c7ce
 U dan
-Z d3ed94ca8b2037743bfe63812e5ba0a9
+Z f381d1ea1280fb47e67f4a0de2124ac3

diff --git a/manifest.uuid b/manifest.uuid
index 03836636d7d49502ca482493f4d9490d800d4ebf..142ac6eff13664f85ccca9357e214563a307b00e 100644 (file)
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-83d6416a868fac81a78c9507185a48d00920e4322276245e285946f760915f4a
\ No newline at end of file
+3f093f608c6cc193aac77e7eafa8006c27a7776682d9d7b6e743710dff41ae42
\ No newline at end of file

diff --git a/src/window.c b/src/window.c
index f45d9dadf0938d0d2643cb8614b3750e6e424635..bfb4ca119ea5cc257709d8e1c4201951e10a5ea5 100644 (file)
--- a/src/window.c
+++ b/src/window.c
@@ -180,6 +180,69 @@ static void cume_distValueFunc(sqlite3_context *pCtx){
   }
 }
 
+struct NtileCtx {
+  i64 nTotal;                     /* Total rows in partition */
+  i64 nParam;                     /* Parameter passed to ntile(N) */
+  i64 iRow;                       /* Current row */
+};
+
+/*
+** Implementation of ntile(). This assumes that the window frame has
+** been coerced to:
+**
+**   ROWS UNBOUNDED PRECEDING AND CURRENT ROW
+**
+*/
+static void ntileStepFunc(
+  sqlite3_context *pCtx, 
+  int nArg,
+  sqlite3_value **apArg
+){
+  struct NtileCtx *p;
+  assert( nArg==2 );
+  p = (struct NtileCtx*)sqlite3_aggregate_context(pCtx, sizeof(*p));
+  if( p ){
+    if( p->nTotal==0 ){
+      p->nParam = sqlite3_value_int64(apArg[0]);
+      p->nTotal = sqlite3_value_int64(apArg[1]);
+      if( p->nParam<=0 ){
+        sqlite3_result_error(
+            pCtx, "argument of ntile must be a positive integer", -1
+        );
+      }
+    }
+    p->iRow++;
+  }
+}
+static void ntileInverseFunc(
+  sqlite3_context *pCtx, 
+  int nArg,
+  sqlite3_value **apArg
+){
+}
+static void ntileValueFunc(sqlite3_context *pCtx){
+  struct NtileCtx *p;
+  p = (struct NtileCtx*)sqlite3_aggregate_context(pCtx, sizeof(*p));
+  if( p && p->nParam>0 ){
+    int nSize = (p->nTotal / p->nParam);
+    if( nSize==0 ){
+      sqlite3_result_int64(pCtx, p->iRow);
+    }else{
+      i64 nLarge = p->nTotal - p->nParam*nSize;
+      i64 iSmall = nLarge*(nSize+1);
+      i64 iRow = p->iRow-1;
+
+      assert( (nLarge*(nSize+1) + (p->nParam-nLarge)*nSize)==p->nTotal );
+
+      if( iRow<iSmall ){
+        sqlite3_result_int64(pCtx, 1 + iRow/(nSize+1));
+      }else{
+        sqlite3_result_int64(pCtx, 1 + nLarge + (iRow-iSmall)/nSize);
+      }
+    }
+  }
+}
+
 static void nth_valueStepFunc(
   sqlite3_context *pCtx, 
   int nArg,
@@ -211,6 +274,7 @@ void sqlite3WindowFunctions(void){
     WINDOWFUNC(rank, 0, 0),
     WINDOWFUNC(percent_rank, 0, SQLITE_FUNC_WINDOW_SIZE),
     WINDOWFUNC(cume_dist, 0, SQLITE_FUNC_WINDOW_SIZE),
+    WINDOWFUNC(ntile, 1, SQLITE_FUNC_WINDOW_SIZE),
     WINDOWFUNC(nth_value, 2, 0),
   };
   sqlite3InsertBuiltinFuncs(aWindowFuncs, ArraySize(aWindowFuncs));
@@ -219,7 +283,7 @@ void sqlite3WindowFunctions(void){
 void sqlite3WindowUpdate(Parse *pParse, Window *pWin, FuncDef *pFunc){
   if( pFunc->funcFlags & SQLITE_FUNC_WINDOW ){
     sqlite3 *db = pParse->db;
-    if( pFunc->xSFunc==row_numberStepFunc ){
+    if( pFunc->xSFunc==row_numberStepFunc || pFunc->xSFunc==ntileStepFunc ){
       sqlite3ExprDelete(db, pWin->pStart);
       sqlite3ExprDelete(db, pWin->pEnd);
       pWin->pStart = pWin->pEnd = 0;
@@ -561,16 +625,22 @@ static void windowAggStep(
     int regArg;
     int nArg = pWin->nArg;
 
-    if( flags & SQLITE_FUNC_WINDOW_SIZE ){
-      regArg = regPartSize;
-      nArg++;
-    }else if( csr>=0 ){
+    if( csr>=0 ){
       int i;
       for(i=0; i<pWin->nArg; i++){
         sqlite3VdbeAddOp3(v, OP_Column, csr, pWin->iArgCol+i, reg+i);
       }
       regArg = reg;
+      if( flags & SQLITE_FUNC_WINDOW_SIZE ){
+        if( nArg==0 ){
+          regArg = regPartSize;
+        }else{
+          sqlite3VdbeAddOp2(v, OP_SCopy, regPartSize, reg+nArg);
+        }
+        nArg++;
+      }
     }else{
+      assert( !(flags & SQLITE_FUNC_WINDOW_SIZE) );
       regArg = reg + pWin->iArgCol;
     }
 
@@ -902,7 +972,7 @@ static void windowCodeRowExprStep(
   nArg = 0;
   for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
     sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regAccum);
-    nArg = MAX(nArg, pWin->nArg);
+    nArg = MAX(nArg, pWin->nArg+1);
   }
   regArg = pParse->nMem+1;
   pParse->nMem += nArg;

diff --git a/test/window1.test b/test/window1.test
index 33664b30f0a968545674fb30a35e613f2317b3a9..a159fdaeba8444d4226428b2e8175a1e60dd7b0b 100644 (file)
--- a/test/window1.test
+++ b/test/window1.test
@@ -181,5 +181,19 @@ do_execsql_test 4.10.2 {
   0 7 6.5.4.3.2.1.0
 }
 
+do_catchsql_test 5.1 {
+  SELECT ntile(0) OVER (ORDER BY a) FROM t2;
+} {1 {argument of ntile must be a positive integer}}
+do_catchsql_test 5.2 {
+  SELECT ntile(-1) OVER (ORDER BY a) FROM t2;
+} {1 {argument of ntile must be a positive integer}}
+do_catchsql_test 5.3 {
+  SELECT ntile('zbc') OVER (ORDER BY a) FROM t2;
+} {1 {argument of ntile must be a positive integer}}
+do_execsql_test 5.4 {
+  CREATE TABLE t4(a, b);
+  SELECT ntile(1) OVER (ORDER BY a) FROM t4;
+} {}
+
 
 finish_test

diff --git a/test/window3.tcl b/test/window3.tcl
index 8950af36423a83e4a7aa394d3f8ec3b9eb7f7065..cd6c7f12f65992bb8fec14959efce85569d8c9a8 100644 (file)
--- a/test/window3.tcl
+++ b/test/window3.tcl
@@ -167,8 +167,26 @@ foreach {tn window} {
     SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 $window ) FROM t2
   "
 
-}
+  execsql_float_test 1.$tn.8.1 "
+    SELECT ntile(100) OVER ( ORDER BY a $window ) FROM t2
+  "
+  execsql_float_test 1.$tn.8.2 "
+    SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a $window ) FROM t2
+  "
+  execsql_float_test 1.$tn.8.3 "
+    SELECT ntile(102) OVER ( ORDER BY b,a $window ) FROM t2
+  "
+  execsql_float_test 1.$tn.8.4 "
+    SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a $window ) FROM t2
+  "
+  execsql_float_test 1.$tn.8.5 "
+    SELECT ntile(104) OVER ( ORDER BY b%10,a $window ) FROM t2
+  "
+  execsql_float_test 1.$tn.8.6 "
+    SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 $window) FROM t2
+  "
 
+}
 
 finish_test
 

diff --git a/test/window3.test b/test/window3.test
index 28023d5532322387738a5399527c5716f671c794..51be914a5f05b6389ee2e4c0a28874093d27b38a 100644 (file)
--- a/test/window3.test
+++ b/test/window3.test
@@ -179,11 +179,99 @@ do_test 1.1.7.6 {
 
 do_test 1.1.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.1.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.1.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.1.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.1.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.1.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.1.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.1.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.1.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.1.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.1.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.1.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 do_execsql_test 1.2.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
@@ -307,11 +395,99 @@ do_test 1.2.7.6 {
 
 do_test 1.2.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.2.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.2.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.2.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.2.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.2.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.2.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.2.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.2.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.2.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.2.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.2.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 do_execsql_test 1.3.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
@@ -435,11 +611,99 @@ do_test 1.3.7.6 {
 
 do_test 1.3.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.3.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.3.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.3.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.3.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.3.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.3.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.3.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.3.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.3.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.3.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.3.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 do_execsql_test 1.4.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
@@ -563,11 +827,99 @@ do_test 1.4.7.6 {
 
 do_test 1.4.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.4.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.4.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.4.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.4.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.4.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.4.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.4.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.4.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.4.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.4.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.4.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 do_execsql_test 1.5.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
@@ -691,31 +1043,119 @@ do_test 1.5.7.6 {
 
 do_test 1.5.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
 
-do_execsql_test 1.6.2.1 {
-  SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
-} {{}   {}   0   74   74   74   74   99   99   99   33   89   89   96   96   96   68   68   68   91   91   91   99   99   99   97   78   78   97   97   97   67   93   93   93   84   77   23   93   93   93   65   47   86   86   86   91   91   91   85   85   85   59   59   56   56   91   91   91   90   90   55   89   89   89   47   56   56   56   56   56   75   75   89   98   98   98   81   94   94   94   78   78   78   53   63   63   87   87   87   84   84   84   72   61   73   95   95   95   65   96   98   98   98   74   74   74   65   73   73   73   87   87   87   41   20   31   31   31   95   95   95   79   88   88   88   34   49   49   90   90   96   96   96   75   77   77   77   44   85   85   85   74   74   70   70   59   39   39   47   80   90   90   90   58   58   72   72   72   72   93   93   93   81   81   81   37   37   37   14   62   91   91   91   91   91   34   36   99   99   99   95   95   69   58   52   84   84   84   84   84   39   44   58   58   58   38   83   83   83}
-
-do_execsql_test 1.6.2.2 {
-  SELECT min(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
-} {{}   {}   0   0   0   41   23   23   23   26   2   2   2   81   59   38   38   38   39   39   46   6   6   6   27   27   27   46   54   8   8   8   29   29   77   23   16   16   16   16   35   35   7   7   7   61   61   61   24   24   24   43   12   12   12   3   3   3   22   22   15   15   15   25   25   1   1   1   40   40   16   16   16   36   36   76   76   4   4   4   30   30   30   29   29   29   2   2   2   37   37   72   41   9   9   9   61   65   13   13   13   58   1   1   1   21   35   5   5   5   11   11   41   12   8   8   8   20   15   15   15   22   22   73   34   8   8   8   11   34   34   59   59   55   55   55   44   2   2   2   7   57   29   29   29   19   19   19   26   26   26   47   36   36   36   9   9   9   66   33   33   33   64   64   9   9   9   13   12   12   12   14   36   36   33   15   15   15   34   3   3   3   58   52   30   30   30   10   10   10   21   21   21   39   30   30   30   34   27   27}
+do_test 1.5.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
 
-do_execsql_test 1.6.3.1 {
-  SELECT row_number() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
-} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+do_test 1.5.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
 
-do_execsql_test 1.6.3.2 {
-  SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
-} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+do_test 1.5.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
 
-do_execsql_test 1.6.4.1 {
-  SELECT dense_rank() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
-} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+do_test 1.5.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.5.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.5.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.5.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.5.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.5.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.5.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.5.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_execsql_test 1.6.2.1 {
+  SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {{}   {}   0   74   74   74   74   99   99   99   33   89   89   96   96   96   68   68   68   91   91   91   99   99   99   97   78   78   97   97   97   67   93   93   93   84   77   23   93   93   93   65   47   86   86   86   91   91   91   85   85   85   59   59   56   56   91   91   91   90   90   55   89   89   89   47   56   56   56   56   56   75   75   89   98   98   98   81   94   94   94   78   78   78   53   63   63   87   87   87   84   84   84   72   61   73   95   95   95   65   96   98   98   98   74   74   74   65   73   73   73   87   87   87   41   20   31   31   31   95   95   95   79   88   88   88   34   49   49   90   90   96   96   96   75   77   77   77   44   85   85   85   74   74   70   70   59   39   39   47   80   90   90   90   58   58   72   72   72   72   93   93   93   81   81   81   37   37   37   14   62   91   91   91   91   91   34   36   99   99   99   95   95   69   58   52   84   84   84   84   84   39   44   58   58   58   38   83   83   83}
+
+do_execsql_test 1.6.2.2 {
+  SELECT min(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {{}   {}   0   0   0   41   23   23   23   26   2   2   2   81   59   38   38   38   39   39   46   6   6   6   27   27   27   46   54   8   8   8   29   29   77   23   16   16   16   16   35   35   7   7   7   61   61   61   24   24   24   43   12   12   12   3   3   3   22   22   15   15   15   25   25   1   1   1   40   40   16   16   16   36   36   76   76   4   4   4   30   30   30   29   29   29   2   2   2   37   37   72   41   9   9   9   61   65   13   13   13   58   1   1   1   21   35   5   5   5   11   11   41   12   8   8   8   20   15   15   15   22   22   73   34   8   8   8   11   34   34   59   59   55   55   55   44   2   2   2   7   57   29   29   29   19   19   19   26   26   26   47   36   36   36   9   9   9   66   33   33   33   64   64   9   9   9   13   12   12   12   14   36   36   33   15   15   15   34   3   3   3   58   52   30   30   30   10   10   10   21   21   21   39   30   30   30   34   27   27}
+
+do_execsql_test 1.6.3.1 {
+  SELECT row_number() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.6.3.2 {
+  SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.6.4.1 {
+  SELECT dense_rank() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
 
 do_execsql_test 1.6.4.2 {
   SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
@@ -819,11 +1259,99 @@ do_test 1.6.7.6 {
 
 do_test 1.6.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.6.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.6.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.6.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.6.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.6.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.6.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.6.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.6.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.6.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.6.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.6.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 do_execsql_test 1.7.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
@@ -947,11 +1475,99 @@ do_test 1.7.7.6 {
 
 do_test 1.7.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.7.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.7.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.7.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.7.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.7.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.7.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.7.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.7.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.7.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.7.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.7.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 do_execsql_test 1.8.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
@@ -1075,11 +1691,99 @@ do_test 1.8.7.6 {
 
 do_test 1.8.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.8.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.8.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.8.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.8.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.8.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.8.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.8.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.8.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.8.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.8.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.8.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 do_execsql_test 1.9.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
@@ -1203,31 +1907,119 @@ do_test 1.9.7.6 {
 
 do_test 1.9.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
 
-do_execsql_test 1.10.2.1 {
-  SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
-} {74   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
-
-do_execsql_test 1.10.2.2 {
-  SELECT min(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
+do_test 1.9.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
 
-do_execsql_test 1.10.3.1 {
-  SELECT row_number() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
-} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+do_test 1.9.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
 
-do_execsql_test 1.10.3.2 {
-  SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
-} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+do_test 1.9.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
 
-do_execsql_test 1.10.4.1 {
-  SELECT dense_rank() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
-} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+do_test 1.9.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.9.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.9.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.9.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.9.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.9.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.9.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.9.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_execsql_test 1.10.2.1 {
+  SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {74   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
+
+do_execsql_test 1.10.2.2 {
+  SELECT min(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
+
+do_execsql_test 1.10.3.1 {
+  SELECT row_number() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.10.3.2 {
+  SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.10.4.1 {
+  SELECT dense_rank() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
 
 do_execsql_test 1.10.4.2 {
   SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
@@ -1331,11 +2123,99 @@ do_test 1.10.7.6 {
 
 do_test 1.10.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.10.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.10.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.10.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.10.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.10.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.10.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.10.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.10.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.10.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.10.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.10.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 do_execsql_test 1.11.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
@@ -1459,11 +2339,99 @@ do_test 1.11.7.6 {
 
 do_test 1.11.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.11.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.11.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.11.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.11.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.11.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.11.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.11.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.11.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.11.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.11.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.11.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 do_execsql_test 1.12.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
@@ -1587,11 +2555,99 @@ do_test 1.12.7.6 {
 
 do_test 1.12.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.12.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.12.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.12.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.12.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.12.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.12.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.12.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.12.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.12.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.12.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.12.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 do_execsql_test 1.13.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
@@ -1657,69 +2713,157 @@ do_execsql_test 1.13.5.6 {
   SELECT rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
 } {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87}
 
-do_execsql_test 1.13.6.1 {
-  SELECT 
-      row_number() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ),
-      rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ),
-      dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING )
-    FROM t2
-} {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
+do_execsql_test 1.13.6.1 {
+  SELECT 
+      row_number() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ),
+      rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ),
+      dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING )
+    FROM t2
+} {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
+
+do_test 1.13.7.1 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.03 0.03 0.04 0.04 0.05 0.05 0.06 0.06 0.07 0.07 0.08 0.08 0.09 0.09 0.10 0.10 0.11 0.11 0.12 0.12 0.13 0.13 0.14 0.14 0.15 0.15 0.16 0.16 0.17 0.17 0.18 0.18 0.19 0.19 0.20 0.20 0.21 0.21 0.22 0.22 0.23 0.23 0.24 0.24 0.25 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.13.7.2 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.29 0.36 0.43 0.50 0.57 0.64 0.71 0.79 0.86 0.93 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.05 0.11 0.16 0.21 0.26 0.32 0.37 0.42 0.47 0.53 0.58 0.63 0.68 0.74 0.79 0.84 0.89 0.95 1.00 0.00 0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00}
+
+do_test 1.13.7.3 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.02 0.03 0.03 0.04 0.05 0.05 0.06 0.06 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.11 0.11 0.12 0.12 0.12 0.13 0.13 0.14 0.15 0.15 0.15 0.16 0.16 0.16 0.18 0.18 0.19 0.19 0.19 0.20 0.20 0.21 0.21 0.21 0.23 0.23 0.24 0.24 0.24 0.25 0.25 0.26 0.27 0.27 0.27 0.28 0.28 0.28 0.30 0.30 0.31 0.31 0.31 0.31 0.31 0.31 0.34 0.34 0.34 0.34 0.36 0.36 0.37 0.37 0.37 0.37 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.43 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.48 0.48 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.54 0.55 0.56 0.56 0.56 0.56 0.58 0.58 0.58 0.58 0.60 0.60 0.60 0.61 0.61 0.62 0.63 0.63 0.63 0.63 0.65 0.65 0.66 0.66 0.67 0.67 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.70 0.70 0.73 0.73 0.73 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.78 0.80 0.80 0.81 0.81 0.81 0.81 0.83 0.83 0.83 0.84 0.85 0.85 0.86 0.86 0.86 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.89 0.89 0.92 0.92 0.92 0.93 0.94 0.94 0.94 0.95 0.95 0.95 0.97 0.97 0.98 0.98 0.99 0.99 0.99}
+
+do_test 1.13.7.4 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.21 0.21 0.43 0.50 0.57 0.64 0.71 0.71 0.86 0.86 0.86 0.00 0.00 0.10 0.10 0.19 0.19 0.29 0.29 0.38 0.38 0.38 0.52 0.57 0.57 0.67 0.67 0.67 0.81 0.81 0.81 0.81 0.81 0.00 0.00 0.00 0.19 0.19 0.19 0.38 0.38 0.50 0.56 0.62 0.69 0.69 0.81 0.81 0.81 1.00 0.00 0.00 0.09 0.09 0.18 0.18 0.18 0.32 0.32 0.32 0.32 0.32 0.55 0.55 0.64 0.68 0.73 0.73 0.73 0.86 0.91 0.91 0.91 0.00 0.05 0.10 0.15 0.15 0.15 0.15 0.35 0.35 0.45 0.50 0.55 0.55 0.55 0.55 0.55 0.80 0.80 0.80 0.80 1.00 0.00 0.05 0.05 0.05 0.20 0.25 0.25 0.35 0.35 0.45 0.45 0.45 0.60 0.60 0.60 0.75 0.75 0.75 0.90 0.90 0.90 0.00 0.05 0.05 0.05 0.19 0.19 0.19 0.33 0.33 0.33 0.33 0.52 0.52 0.62 0.62 0.62 0.76 0.81 0.86 0.90 0.90 0.90 0.00 0.00 0.00 0.16 0.21 0.21 0.32 0.32 0.42 0.42 0.42 0.42 0.63 0.68 0.74 0.74 0.84 0.84 0.95 0.95 0.00 0.00 0.00 0.20 0.27 0.27 0.40 0.40 0.40 0.40 0.67 0.73 0.73 0.87 0.93 0.93 0.00 0.00 0.00 0.14 0.18 0.18 0.18 0.32 0.32 0.32 0.45 0.50 0.50 0.50 0.50 0.68 0.73 0.77 0.77 0.77 0.91 0.91 0.91}
+
+do_test 1.13.7.5 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89}
+
+do_test 1.13.7.6 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80}
+
+do_test 1.13.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.13.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.13.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.13.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.13.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
-do_test 1.13.7.1 {
+do_test 1.13.8.6 {
   set myres {}
-  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 0.01 0.02 0.02 0.03 0.03 0.04 0.04 0.05 0.05 0.06 0.06 0.07 0.07 0.08 0.08 0.09 0.09 0.10 0.10 0.11 0.11 0.12 0.12 0.13 0.13 0.14 0.14 0.15 0.15 0.16 0.16 0.17 0.17 0.18 0.18 0.19 0.19 0.20 0.20 0.21 0.21 0.22 0.22 0.23 0.23 0.24 0.24 0.25 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
-do_test 1.13.7.2 {
+do_test 1.13.8.1 {
   set myres {}
-  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.07 0.14 0.21 0.29 0.36 0.43 0.50 0.57 0.64 0.71 0.79 0.86 0.93 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.05 0.11 0.16 0.21 0.26 0.32 0.37 0.42 0.47 0.53 0.58 0.63 0.68 0.74 0.79 0.84 0.89 0.95 1.00 0.00 0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00}
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
 
-do_test 1.13.7.3 {
+do_test 1.13.8.2 {
   set myres {}
-  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 0.01 0.02 0.02 0.02 0.03 0.03 0.04 0.05 0.05 0.06 0.06 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.11 0.11 0.12 0.12 0.12 0.13 0.13 0.14 0.15 0.15 0.15 0.16 0.16 0.16 0.18 0.18 0.19 0.19 0.19 0.20 0.20 0.21 0.21 0.21 0.23 0.23 0.24 0.24 0.24 0.25 0.25 0.26 0.27 0.27 0.27 0.28 0.28 0.28 0.30 0.30 0.31 0.31 0.31 0.31 0.31 0.31 0.34 0.34 0.34 0.34 0.36 0.36 0.37 0.37 0.37 0.37 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.43 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.48 0.48 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.54 0.55 0.56 0.56 0.56 0.56 0.58 0.58 0.58 0.58 0.60 0.60 0.60 0.61 0.61 0.62 0.63 0.63 0.63 0.63 0.65 0.65 0.66 0.66 0.67 0.67 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.70 0.70 0.73 0.73 0.73 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.78 0.80 0.80 0.81 0.81 0.81 0.81 0.83 0.83 0.83 0.84 0.85 0.85 0.86 0.86 0.86 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.89 0.89 0.92 0.92 0.92 0.93 0.94 0.94 0.94 0.95 0.95 0.95 0.97 0.97 0.98 0.98 0.99 0.99 0.99}
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
 
-do_test 1.13.7.4 {
+do_test 1.13.8.3 {
   set myres {}
-  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.07 0.14 0.21 0.21 0.21 0.43 0.50 0.57 0.64 0.71 0.71 0.86 0.86 0.86 0.00 0.00 0.10 0.10 0.19 0.19 0.29 0.29 0.38 0.38 0.38 0.52 0.57 0.57 0.67 0.67 0.67 0.81 0.81 0.81 0.81 0.81 0.00 0.00 0.00 0.19 0.19 0.19 0.38 0.38 0.50 0.56 0.62 0.69 0.69 0.81 0.81 0.81 1.00 0.00 0.00 0.09 0.09 0.18 0.18 0.18 0.32 0.32 0.32 0.32 0.32 0.55 0.55 0.64 0.68 0.73 0.73 0.73 0.86 0.91 0.91 0.91 0.00 0.05 0.10 0.15 0.15 0.15 0.15 0.35 0.35 0.45 0.50 0.55 0.55 0.55 0.55 0.55 0.80 0.80 0.80 0.80 1.00 0.00 0.05 0.05 0.05 0.20 0.25 0.25 0.35 0.35 0.45 0.45 0.45 0.60 0.60 0.60 0.75 0.75 0.75 0.90 0.90 0.90 0.00 0.05 0.05 0.05 0.19 0.19 0.19 0.33 0.33 0.33 0.33 0.52 0.52 0.62 0.62 0.62 0.76 0.81 0.86 0.90 0.90 0.90 0.00 0.00 0.00 0.16 0.21 0.21 0.32 0.32 0.42 0.42 0.42 0.42 0.63 0.68 0.74 0.74 0.84 0.84 0.95 0.95 0.00 0.00 0.00 0.20 0.27 0.27 0.40 0.40 0.40 0.40 0.67 0.73 0.73 0.87 0.93 0.93 0.00 0.00 0.00 0.14 0.18 0.18 0.18 0.32 0.32 0.32 0.45 0.50 0.50 0.50 0.50 0.68 0.73 0.77 0.77 0.77 0.91 0.91 0.91}
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
 
-do_test 1.13.7.5 {
+do_test 1.13.8.4 {
   set myres {}
-  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89}
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
 
-do_test 1.13.7.6 {
+do_test 1.13.8.5 {
   set myres {}
-  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80}
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
 
-do_test 1.13.8.1 {
+do_test 1.13.8.6 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 do_execsql_test 1.14.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
@@ -1843,11 +2987,99 @@ do_test 1.14.7.6 {
 
 do_test 1.14.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.14.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.14.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.14.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.14.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.14.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.14.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.14.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.14.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.14.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.14.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.14.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 do_execsql_test 1.15.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
@@ -1971,11 +3203,99 @@ do_test 1.15.7.6 {
 
 do_test 1.15.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.15.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.15.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.15.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.15.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.15.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.15.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.15.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.15.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.15.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.15.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.15.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 do_execsql_test 1.16.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
@@ -2099,11 +3419,99 @@ do_test 1.16.7.6 {
 
 do_test 1.16.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.16.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.16.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.16.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.16.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.16.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.16.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.16.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.16.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.16.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.16.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.16.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 do_execsql_test 1.17.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
@@ -2227,10 +3635,98 @@ do_test 1.17.7.6 {
 
 do_test 1.17.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.17.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.17.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.17.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.17.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.17.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.17.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.17.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.17.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.17.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.17.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.17.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 finish_test

diff --git a/test/window4.tcl b/test/window4.tcl
new file mode 100644 (file)
index 0000000..6160236
--- /dev/null
+++ b/test/window4.tcl
@@ -0,0 +1,30 @@
+# 2018 May 19
+#
+# The author disclaims copyright to this source code.  In place of
+# a legal notice, here is a blessing:
+#
+#    May you do good and not evil.
+#    May you find forgiveness for yourself and forgive others.
+#    May you share freely, never taking more than you give.
+#
+#***********************************************************************
+#
+
+source [file join [file dirname $argv0] pg_common.tcl]
+
+#=========================================================================
+
+start_test window4 "2018 June 04"
+
+execsql_test 1.0 {
+  DROP TABLE IF EXISTS t3;
+  CREATE TABLE t3(a TEXT PRIMARY KEY);
+  INSERT INTO t3 VALUES('a'), ('b'), ('c'), ('d'), ('e');
+  INSERT INTO t3 VALUES('f'), ('g'), ('h'), ('i'), ('j');
+}
+
+for {set i 1} {$i < 20} {incr i} {
+  execsql_test 1.$i "SELECT a, ntile($i) OVER (ORDER BY a) FROM t3"
+}
+
+finish_test

diff --git a/test/window4.test b/test/window4.test
new file mode 100644 (file)
index 0000000..7130a48
--- /dev/null
+++ b/test/window4.test
@@ -0,0 +1,105 @@
+# 2018 June 04
+#
+# The author disclaims copyright to this source code.  In place of
+# a legal notice, here is a blessing:
+#
+#    May you do good and not evil.
+#    May you find forgiveness for yourself and forgive others.
+#    May you share freely, never taking more than you give.
+#
+#***********************************************************************
+# This file implements regression tests for SQLite library.
+#
+
+####################################################
+# DO NOT EDIT! THIS FILE IS AUTOMATICALLY GENERATED!
+####################################################
+
+set testdir [file dirname $argv0]
+source $testdir/tester.tcl
+set testprefix window4
+
+do_execsql_test 1.0 {
+  DROP TABLE IF EXISTS t3;
+  CREATE TABLE t3(a TEXT PRIMARY KEY);
+  INSERT INTO t3 VALUES('a'), ('b'), ('c'), ('d'), ('e');
+  INSERT INTO t3 VALUES('f'), ('g'), ('h'), ('i'), ('j');
+} {}
+
+do_execsql_test 1.1 {
+  SELECT a, ntile(1) OVER (ORDER BY a) FROM t3
+} {a 1   b 1   c 1   d 1   e 1   f 1   g 1   h 1   i 1   j 1}
+
+do_execsql_test 1.2 {
+  SELECT a, ntile(2) OVER (ORDER BY a) FROM t3
+} {a 1   b 1   c 1   d 1   e 1   f 2   g 2   h 2   i 2   j 2}
+
+do_execsql_test 1.3 {
+  SELECT a, ntile(3) OVER (ORDER BY a) FROM t3
+} {a 1   b 1   c 1   d 1   e 2   f 2   g 2   h 3   i 3   j 3}
+
+do_execsql_test 1.4 {
+  SELECT a, ntile(4) OVER (ORDER BY a) FROM t3
+} {a 1   b 1   c 1   d 2   e 2   f 2   g 3   h 3   i 4   j 4}
+
+do_execsql_test 1.5 {
+  SELECT a, ntile(5) OVER (ORDER BY a) FROM t3
+} {a 1   b 1   c 2   d 2   e 3   f 3   g 4   h 4   i 5   j 5}
+
+do_execsql_test 1.6 {
+  SELECT a, ntile(6) OVER (ORDER BY a) FROM t3
+} {a 1   b 1   c 2   d 2   e 3   f 3   g 4   h 4   i 5   j 6}
+
+do_execsql_test 1.7 {
+  SELECT a, ntile(7) OVER (ORDER BY a) FROM t3
+} {a 1   b 1   c 2   d 2   e 3   f 3   g 4   h 5   i 6   j 7}
+
+do_execsql_test 1.8 {
+  SELECT a, ntile(8) OVER (ORDER BY a) FROM t3
+} {a 1   b 1   c 2   d 2   e 3   f 4   g 5   h 6   i 7   j 8}
+
+do_execsql_test 1.9 {
+  SELECT a, ntile(9) OVER (ORDER BY a) FROM t3
+} {a 1   b 1   c 2   d 3   e 4   f 5   g 6   h 7   i 8   j 9}
+
+do_execsql_test 1.10 {
+  SELECT a, ntile(10) OVER (ORDER BY a) FROM t3
+} {a 1   b 2   c 3   d 4   e 5   f 6   g 7   h 8   i 9   j 10}
+
+do_execsql_test 1.11 {
+  SELECT a, ntile(11) OVER (ORDER BY a) FROM t3
+} {a 1   b 2   c 3   d 4   e 5   f 6   g 7   h 8   i 9   j 10}
+
+do_execsql_test 1.12 {
+  SELECT a, ntile(12) OVER (ORDER BY a) FROM t3
+} {a 1   b 2   c 3   d 4   e 5   f 6   g 7   h 8   i 9   j 10}
+
+do_execsql_test 1.13 {
+  SELECT a, ntile(13) OVER (ORDER BY a) FROM t3
+} {a 1   b 2   c 3   d 4   e 5   f 6   g 7   h 8   i 9   j 10}
+
+do_execsql_test 1.14 {
+  SELECT a, ntile(14) OVER (ORDER BY a) FROM t3
+} {a 1   b 2   c 3   d 4   e 5   f 6   g 7   h 8   i 9   j 10}
+
+do_execsql_test 1.15 {
+  SELECT a, ntile(15) OVER (ORDER BY a) FROM t3
+} {a 1   b 2   c 3   d 4   e 5   f 6   g 7   h 8   i 9   j 10}
+
+do_execsql_test 1.16 {
+  SELECT a, ntile(16) OVER (ORDER BY a) FROM t3
+} {a 1   b 2   c 3   d 4   e 5   f 6   g 7   h 8   i 9   j 10}
+
+do_execsql_test 1.17 {
+  SELECT a, ntile(17) OVER (ORDER BY a) FROM t3
+} {a 1   b 2   c 3   d 4   e 5   f 6   g 7   h 8   i 9   j 10}
+
+do_execsql_test 1.18 {
+  SELECT a, ntile(18) OVER (ORDER BY a) FROM t3
+} {a 1   b 2   c 3   d 4   e 5   f 6   g 7   h 8   i 9   j 10}
+
+do_execsql_test 1.19 {
+  SELECT a, ntile(19) OVER (ORDER BY a) FROM t3
+} {a 1   b 2   c 3   d 4   e 5   f 6   g 7   h 8   i 9   j 10}
+
+finish_test