FAQ
Author: ehans
Date: Tue Dec 17 00:33:26 2013
New Revision: 1551416

URL: http://svn.apache.org/r1551416
Log:
HIVE-6015: vectorized logarithm produces results for 0 that are different from a non-vectorized one (Sergey Shelukhin via Eric Hanson)

Modified:
     hive/trunk/ant/src/org/apache/hadoop/hive/ant/GenVectorCode.java
     hive/trunk/ql/src/java/org/apache/hadoop/hive/ql/exec/vector/expressions/MathExpr.java
     hive/trunk/ql/src/test/queries/clientpositive/vectorized_math_funcs.q
     hive/trunk/ql/src/test/results/clientpositive/vectorized_math_funcs.q.out

Modified: hive/trunk/ant/src/org/apache/hadoop/hive/ant/GenVectorCode.java
URL: http://svn.apache.org/viewvc/hive/trunk/ant/src/org/apache/hadoop/hive/ant/GenVectorCode.java?rev=1551416&r1=1551415&r2=1551416&view=diff
==============================================================================
--- hive/trunk/ant/src/org/apache/hadoop/hive/ant/GenVectorCode.java (original)
+++ hive/trunk/ant/src/org/apache/hadoop/hive/ant/GenVectorCode.java Tue Dec 17 00:33:26 2013
@@ -325,19 +325,19 @@ public class GenVectorCode extends Task
        {"ColumnUnaryFunc", "FuncExp", "double", "double", "Math.exp", "", "", ""},
        {"ColumnUnaryFunc", "FuncExp", "double", "long", "Math.exp", "(double)", "", ""},
        {"ColumnUnaryFunc", "FuncLn", "double", "double", "Math.log", "", "",
- "MathExpr.NaNToNull(outputColVector, sel, batch.selectedInUse, n);"},
+ "MathExpr.NaNToNull(outputColVector, sel, batch.selectedInUse, n, true);"},
        {"ColumnUnaryFunc", "FuncLn", "double", "long", "Math.log", "(double)", "",
- "MathExpr.NaNToNull(outputColVector, sel, batch.selectedInUse, n);"},
+ "MathExpr.NaNToNull(outputColVector, sel, batch.selectedInUse, n, true);"},
        {"ColumnUnaryFunc", "FuncLog10", "double", "double", "Math.log10", "", "",
- "MathExpr.NaNToNull(outputColVector, sel, batch.selectedInUse, n);"},
+ "MathExpr.NaNToNull(outputColVector, sel, batch.selectedInUse, n, true);"},
        {"ColumnUnaryFunc", "FuncLog10", "double", "long", "Math.log10", "(double)", "",
- "MathExpr.NaNToNull(outputColVector, sel, batch.selectedInUse, n);"},
+ "MathExpr.NaNToNull(outputColVector, sel, batch.selectedInUse, n, true);"},
        // The MathExpr class contains helper functions for cases when existing library
        // routines can't be used directly.
        {"ColumnUnaryFunc", "FuncLog2", "double", "double", "MathExpr.log2", "", "",
- "MathExpr.NaNToNull(outputColVector, sel, batch.selectedInUse, n);"},
+ "MathExpr.NaNToNull(outputColVector, sel, batch.selectedInUse, n, true);"},
        {"ColumnUnaryFunc", "FuncLog2", "double", "long", "MathExpr.log2", "(double)", "",
- "MathExpr.NaNToNull(outputColVector, sel, batch.selectedInUse, n);"},
+ "MathExpr.NaNToNull(outputColVector, sel, batch.selectedInUse, n, true);"},
        // Log(base, Col) is a special case and will be implemented separately from this template
        // Pow(col, P) and Power(col, P) are special cases implemented separately from this template
        {"ColumnUnaryFunc", "FuncSqrt", "double", "double", "Math.sqrt", "", "",

Modified: hive/trunk/ql/src/java/org/apache/hadoop/hive/ql/exec/vector/expressions/MathExpr.java
URL: http://svn.apache.org/viewvc/hive/trunk/ql/src/java/org/apache/hadoop/hive/ql/exec/vector/expressions/MathExpr.java?rev=1551416&r1=1551415&r2=1551416&view=diff
==============================================================================
--- hive/trunk/ql/src/java/org/apache/hadoop/hive/ql/exec/vector/expressions/MathExpr.java (original)
+++ hive/trunk/ql/src/java/org/apache/hadoop/hive/ql/exec/vector/expressions/MathExpr.java Tue Dec 17 00:33:26 2013
@@ -120,13 +120,20 @@ public class MathExpr {

      return current;
    }
-
+
    // Convert all NaN values in vector v to NULL. Should only be used if n > 0.
    public static void NaNToNull(DoubleColumnVector v, int[] sel, boolean selectedInUse, int n) {
+ NaNToNull(v, sel, selectedInUse, n, false);
+ }

+ // Convert all NaN, and optionally infinity values in vector v to NULL.
+ // Should only be used if n > 0.
+ public static void NaNToNull(
+ DoubleColumnVector v, int[] sel, boolean selectedInUse, int n, boolean convertInfinity) {
      // handle repeating case
      if (v.isRepeating) {
- if (Double.isNaN(v.vector[0])){
+ if ((convertInfinity && Double.isInfinite(v.vector[0])) || Double.isNaN(v.vector[0])){
+ v.vector[0] = DoubleColumnVector.NULL_VALUE;
          v.isNull[0] = true;
          v.noNulls = false;
        }
@@ -137,11 +144,11 @@ public class MathExpr {
        if (selectedInUse) {
          for(int j = 0; j != n; j++) {
            int i = sel[j];
- if (Double.isNaN(v.vector[i])) {
+ if ((convertInfinity && Double.isInfinite(v.vector[i])) || Double.isNaN(v.vector[i])) {
+ v.vector[i] = DoubleColumnVector.NULL_VALUE;
              v.isNull[i] = true;
              v.noNulls = false;
            } else {
-
              // Must set isNull[i] to false to make sure
              // it gets initialized, in case we set noNulls to true.
              v.isNull[i] = false;
@@ -149,7 +156,8 @@ public class MathExpr {
          }
        } else {
          for(int i = 0; i != n; i++) {
- if (Double.isNaN(v.vector[i])) {
+ if ((convertInfinity && Double.isInfinite(v.vector[i])) || Double.isNaN(v.vector[i])) {
+ v.vector[i] = DoubleColumnVector.NULL_VALUE;
              v.isNull[i] = true;
              v.noNulls = false;
            } else {
@@ -161,13 +169,15 @@ public class MathExpr {
        if (selectedInUse) {
          for (int j = 0; j != n; j++) {
            int i = sel[j];
- if(Double.isNaN(v.vector[i])) {
+ if((convertInfinity && Double.isInfinite(v.vector[i])) || Double.isNaN(v.vector[i])) {
+ v.vector[i] = DoubleColumnVector.NULL_VALUE;
              v.isNull[i] = true;
            }
          }
        } else {
          for (int i = 0; i != n; i++) {
- if(Double.isNaN(v.vector[i])) {
+ if((convertInfinity && Double.isInfinite(v.vector[i])) || Double.isNaN(v.vector[i])) {
+ v.vector[i] = DoubleColumnVector.NULL_VALUE;
              v.isNull[i] = true;
            }
          }

Modified: hive/trunk/ql/src/test/queries/clientpositive/vectorized_math_funcs.q
URL: http://svn.apache.org/viewvc/hive/trunk/ql/src/test/queries/clientpositive/vectorized_math_funcs.q?rev=1551416&r1=1551415&r2=1551416&view=diff
==============================================================================
--- hive/trunk/ql/src/test/queries/clientpositive/vectorized_math_funcs.q (original)
+++ hive/trunk/ql/src/test/queries/clientpositive/vectorized_math_funcs.q Tue Dec 17 00:33:26 2013
@@ -16,6 +16,8 @@ select
    ,Log10(cdouble)
    -- Use log2 as a representative function to test all input types.
    ,Log2(cdouble)
+ -- Use 15601.0 to test zero handling, as there are no zeroes in the table
+ ,Log2(cdouble - 15601.0)
    ,Log2(cfloat)
    ,Log2(cbigint)
    ,Log2(cint)
@@ -66,6 +68,8 @@ select
    ,Log10(cdouble)
    -- Use log2 as a representative function to test all input types.
    ,Log2(cdouble)
+ -- Use 15601.0 to test zero handling, as there are no zeroes in the table
+ ,Log2(cdouble - 15601.0)
    ,Log2(cfloat)
    ,Log2(cbigint)
    ,Log2(cint)

Modified: hive/trunk/ql/src/test/results/clientpositive/vectorized_math_funcs.q.out
URL: http://svn.apache.org/viewvc/hive/trunk/ql/src/test/results/clientpositive/vectorized_math_funcs.q.out?rev=1551416&r1=1551415&r2=1551416&view=diff
==============================================================================
--- hive/trunk/ql/src/test/results/clientpositive/vectorized_math_funcs.q.out (original)
+++ hive/trunk/ql/src/test/results/clientpositive/vectorized_math_funcs.q.out Tue Dec 17 00:33:26 2013
@@ -14,6 +14,8 @@ select
    ,Log10(cdouble)
    -- Use log2 as a representative function to test all input types.
    ,Log2(cdouble)
+ -- Use 15601.0 to test zero handling, as there are no zeroes in the table
+ ,Log2(cdouble - 15601.0)
    ,Log2(cfloat)
    ,Log2(cbigint)
    ,Log2(cint)
@@ -66,6 +68,8 @@ select
    ,Log10(cdouble)
    -- Use log2 as a representative function to test all input types.
    ,Log2(cdouble)
+ -- Use 15601.0 to test zero handling, as there are no zeroes in the table
+ ,Log2(cdouble - 15601.0)
    ,Log2(cfloat)
    ,Log2(cbigint)
    ,Log2(cint)
@@ -103,7 +107,7 @@ where cbigint % 500 = 0
  and sin(cfloat) >= -1.0
  POSTHOOK: type: QUERY
  ABSTRACT SYNTAX TREE:
- (TOK_QUERY (TOK_FROM (TOK_TABREF (TOK_TABNAME alltypesorc))) (TOK_INSERT (TOK_DESTINATION (TOK_DIR TOK_TMP_FILE)) (TOK_SELECT (TOK_SELEXPR (TOK_TABLE_OR_COL cdouble)) (TOK_SELEXPR (TOK_FUNCTION Round (TOK_TABLE_OR_COL cdouble) 2)) (TOK_SELEXPR (TOK_FUNCTION Floor (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Ceil (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Rand)) (TOK_SELEXPR (TOK_FUNCTION Rand 98007)) (TOK_SELEXPR (TOK_FUNCTION Exp (TOK_FUNCTION ln (TOK_TABLE_OR_COL cdouble)))) (TOK_SELEXPR (TOK_FUNCTION Ln (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Ln (TOK_TABLE_OR_COL cfloat))) (TOK_SELEXPR (TOK_FUNCTION Log10 (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Log2 (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Log2 (TOK_TABLE_OR_COL cfloat))) (TOK_SELEXPR (TOK_FUNCTION Log2 (TOK_TABLE_OR_COL cbigint))) (TOK_SELEXPR (TOK_FUNCTION Log2 (TOK_TABLE_OR_COL cint))) (TOK_SELEXPR (TOK_FUNCTION Log2 (TOK_TABLE_OR_COL csmallint))) (TOK_SE
  LEXPR (TOK_FUNCTION Log2 (TOK_TABLE_OR_COL ctinyint))) (TOK_SELEXPR (TOK_FUNCTION Log 2.0 (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Pow (TOK_FUNCTION log2 (TOK_TABLE_OR_COL cdouble)) 2.0)) (TOK_SELEXPR (TOK_FUNCTION Power (TOK_FUNCTION log2 (TOK_TABLE_OR_COL cdouble)) 2.0)) (TOK_SELEXPR (TOK_FUNCTION Sqrt (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Sqrt (TOK_TABLE_OR_COL cbigint))) (TOK_SELEXPR (TOK_FUNCTION Bin (TOK_TABLE_OR_COL cbigint))) (TOK_SELEXPR (TOK_FUNCTION Hex (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Conv (TOK_TABLE_OR_COL cbigint) 10 16)) (TOK_SELEXPR (TOK_FUNCTION Abs (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Abs (TOK_TABLE_OR_COL ctinyint))) (TOK_SELEXPR (TOK_FUNCTION Pmod (TOK_TABLE_OR_COL cint) 3)) (TOK_SELEXPR (TOK_FUNCTION Sin (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Asin (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Cos (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION ACos (TOK_
  TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Atan (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Degrees (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Radians (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Positive (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Positive (TOK_TABLE_OR_COL cbigint))) (TOK_SELEXPR (TOK_FUNCTION Negative (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Sign (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Sign (TOK_TABLE_OR_COL cbigint))) (TOK_SELEXPR (TOK_FUNCTION cos (+ (- (TOK_FUNCTION sin (TOK_FUNCTION log (TOK_TABLE_OR_COL cdouble)))) 3.14159)))) (TOK_WHERE (and (= (% (TOK_TABLE_OR_COL cbigint) 500) 0) (>= (TOK_FUNCTION sin (TOK_TABLE_OR_COL cfloat)) (- 1.0))))))
+ (TOK_QUERY (TOK_FROM (TOK_TABREF (TOK_TABNAME alltypesorc))) (TOK_INSERT (TOK_DESTINATION (TOK_DIR TOK_TMP_FILE)) (TOK_SELECT (TOK_SELEXPR (TOK_TABLE_OR_COL cdouble)) (TOK_SELEXPR (TOK_FUNCTION Round (TOK_TABLE_OR_COL cdouble) 2)) (TOK_SELEXPR (TOK_FUNCTION Floor (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Ceil (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Rand)) (TOK_SELEXPR (TOK_FUNCTION Rand 98007)) (TOK_SELEXPR (TOK_FUNCTION Exp (TOK_FUNCTION ln (TOK_TABLE_OR_COL cdouble)))) (TOK_SELEXPR (TOK_FUNCTION Ln (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Ln (TOK_TABLE_OR_COL cfloat))) (TOK_SELEXPR (TOK_FUNCTION Log10 (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Log2 (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Log2 (- (TOK_TABLE_OR_COL cdouble) 15601.0))) (TOK_SELEXPR (TOK_FUNCTION Log2 (TOK_TABLE_OR_COL cfloat))) (TOK_SELEXPR (TOK_FUNCTION Log2 (TOK_TABLE_OR_COL cbigint))) (TOK_SELEXPR (TOK_FUNCTION Log2 (TOK_TABLE_OR_COL cint)
  )) (TOK_SELEXPR (TOK_FUNCTION Log2 (TOK_TABLE_OR_COL csmallint))) (TOK_SELEXPR (TOK_FUNCTION Log2 (TOK_TABLE_OR_COL ctinyint))) (TOK_SELEXPR (TOK_FUNCTION Log 2.0 (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Pow (TOK_FUNCTION log2 (TOK_TABLE_OR_COL cdouble)) 2.0)) (TOK_SELEXPR (TOK_FUNCTION Power (TOK_FUNCTION log2 (TOK_TABLE_OR_COL cdouble)) 2.0)) (TOK_SELEXPR (TOK_FUNCTION Sqrt (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Sqrt (TOK_TABLE_OR_COL cbigint))) (TOK_SELEXPR (TOK_FUNCTION Bin (TOK_TABLE_OR_COL cbigint))) (TOK_SELEXPR (TOK_FUNCTION Hex (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Conv (TOK_TABLE_OR_COL cbigint) 10 16)) (TOK_SELEXPR (TOK_FUNCTION Abs (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Abs (TOK_TABLE_OR_COL ctinyint))) (TOK_SELEXPR (TOK_FUNCTION Pmod (TOK_TABLE_OR_COL cint) 3)) (TOK_SELEXPR (TOK_FUNCTION Sin (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Asin (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTI
  ON Cos (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION ACos (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Atan (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Degrees (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Radians (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Positive (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Positive (TOK_TABLE_OR_COL cbigint))) (TOK_SELEXPR (TOK_FUNCTION Negative (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Sign (TOK_TABLE_OR_COL cdouble))) (TOK_SELEXPR (TOK_FUNCTION Sign (TOK_TABLE_OR_COL cbigint))) (TOK_SELEXPR (TOK_FUNCTION cos (+ (- (TOK_FUNCTION sin (TOK_FUNCTION log (TOK_TABLE_OR_COL cdouble)))) 3.14159)))) (TOK_WHERE (and (= (% (TOK_TABLE_OR_COL cbigint) 500) 0) (>= (TOK_FUNCTION sin (TOK_TABLE_OR_COL cfloat)) (- 1.0))))))

  STAGE DEPENDENCIES:
    Stage-1 is a root stage
@@ -145,6 +149,8 @@ STAGE PLANS:
                        type: double
                        expr: log2(cdouble)
                        type: double
+ expr: log2((cdouble - 15601.0))
+ type: double
                        expr: log2(cfloat)
                        type: double
                        expr: log2(cbigint)
@@ -203,7 +209,7 @@ STAGE PLANS:
                        type: double
                        expr: cos(((- sin(log(cdouble))) + 3.14159))
                        type: double
- outputColumnNames: _col0, _col1, _col2, _col3, _col4, _col5, _col6, _col7, _col8, _col9, _col10, _col11, _col12, _col13, _col14, _col15, _col16, _col17, _col18, _col19, _col20, _col21, _col22, _col23, _col24, _col25, _col26, _col27, _col28, _col29, _col30, _col31, _col32, _col33, _col34, _col35, _col36, _col37, _col38, _col39
+ outputColumnNames: _col0, _col1, _col2, _col3, _col4, _col5, _col6, _col7, _col8, _col9, _col10, _col11, _col12, _col13, _col14, _col15, _col16, _col17, _col18, _col19, _col20, _col21, _col22, _col23, _col24, _col25, _col26, _col27, _col28, _col29, _col30, _col31, _col32, _col33, _col34, _col35, _col36, _col37, _col38, _col39, _col40
                  Vectorized execution: true
                  File Output Operator
                    compressed: false
@@ -232,6 +238,8 @@ PREHOOK: query: select
    ,Log10(cdouble)
    -- Use log2 as a representative function to test all input types.
    ,Log2(cdouble)
+ -- Use 15601.0 to test zero handling, as there are no zeroes in the table
+ ,Log2(cdouble - 15601.0)
    ,Log2(cfloat)
    ,Log2(cbigint)
    ,Log2(cint)
@@ -284,6 +292,8 @@ POSTHOOK: query: select
    ,Log10(cdouble)
    -- Use log2 as a representative function to test all input types.
    ,Log2(cdouble)
+ -- Use 15601.0 to test zero handling, as there are no zeroes in the table
+ ,Log2(cdouble - 15601.0)
    ,Log2(cfloat)
    ,Log2(cbigint)
    ,Log2(cint)
@@ -322,17 +332,17 @@ and sin(cfloat) >= -1.0
  POSTHOOK: type: QUERY
  POSTHOOK: Input: default@alltypesorc
  #### A masked pattern was here ####
--200.0 -200.0 -200 -200 0.8199077823142826 NULL NULL NULL NULL NULL NULL 30.57531565116074 NULL NULL NULL NULL NULL NULL NULL 39998.48747140321 1011111010111000011011101011000 2D3230302E30 5F5C3758 200.0 36 NULL 0.8732972972139946 NaN 0.4871876750070059 NaN -1.5657963684609384 -11459.155902616465 -3.490658503988659 -200.0 1599879000 200.0 -1.0 1.0 NULL
-15601.0 15601.0 15601 15601 0.38656833237681376 15601.00000000001 9.65509029374725 NULL 4.193152436852078 13.929350886124324 NULL NULL NULL 13.929350886124324 NULL 13.929350886124324 194.02681610877246 194.02681610877246 124.90396310766124 NULL 1111111111111111111111111111111110010001001101101010100000011000 31353630312E30 FFFFFFFF9136A818 15601.0 38 NULL -0.14856570831397706 NaN 0.9889025383288114 NaN 1.5707322283397571 893871.4561835973 272.2888166036353 15601.0 -1858689000 -15601.0 1.0 -1.0 -0.9740573096878733
-15601.0 15601.0 15601 15601 0.41161398527282966 15601.00000000001 9.65509029374725 NULL 4.193152436852078 13.929350886124324 NULL 29.18993673432575 NULL 13.929350886124324 NULL 13.929350886124324 194.02681610877246 194.02681610877246 124.90396310766124 24747.04022706554 100100100000001011101000000000 31353630312E30 2480BA00 15601.0 5 NULL -0.14856570831397706 NaN 0.9889025383288114 NaN 1.5707322283397571 893871.4561835973 272.2888166036353 15601.0 612416000 -15601.0 1.0 1.0 -0.9740573096878733
-15601.0 15601.0 15601 15601 0.37807863784568585 15601.00000000001 9.65509029374725 3.871201010907891 4.193152436852078 13.929350886124324 5.584962500721157 NULL NULL 13.929350886124324 5.584962500721157 13.929350886124324 194.02681610877246 194.02681610877246 124.90396310766124 NULL 1111111111111111111111111111111111010000100101111100000100011000 31353630312E30 FFFFFFFFD097C118 15601.0 48 NULL -0.14856570831397706 NaN 0.9889025383288114 NaN 1.5707322283397571 893871.4561835973 272.2888166036353 15601.0 -795361000 -15601.0 1.0 -1.0 -0.9740573096878733
-NULL NULL NULL NULL 0.3336458983920575 NULL NULL 2.0794415416798357 NULL NULL 3.0 29.693388204506274 29.58473549442715 NULL 3.0 NULL NULL NULL NULL 29464.580431426475 110011101111110001011111011100 NULL 33BF17DC NULL 8 1 NULL NULL NULL NULL NULL NULL NULL NULL 868161500 NULL NULL 1.0 NULL
-NULL NULL NULL NULL 0.8681331660942196 NULL NULL 2.0794415416798357 NULL NULL 3.0 NULL 29.730832334348488 NULL 3.0 NULL NULL NULL NULL NULL 1111111111111111111111111111111110010000111111111000101010111000 NULL FFFFFFFF90FF8AB8 NULL 8 0 NULL NULL NULL NULL NULL NULL NULL NULL -1862301000 NULL NULL -1.0 NULL
--7196.0 -7196.0 -7196 -7196 0.03951015606275099 NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL 1111111111111111111111111111111110100000010101110101001001110000 2D373139362E30 FFFFFFFFA0575270 7196.0 59 NULL -0.9834787875028149 NaN -0.18102340879563897 NaN -1.5706573607035177 -412300.4293761404 -125.59389297351194 -7196.0 -1604890000 7196.0 -1.0 -1.0 NULL
--7196.0 -7196.0 -7196 -7196 0.9209252022050654 NULL NULL NULL NULL NULL NULL 30.52255693577237 NULL NULL NULL NULL NULL NULL NULL 39273.76987252433 1011011111011111001100101001000 2D373139362E30 5BEF9948 7196.0 21 NULL -0.9834787875028149 NaN -0.18102340879563897 NaN -1.5706573607035177 -412300.4293761404 -125.59389297351194 -7196.0 1542429000 7196.0 -1.0 1.0 NULL
--7196.0 -7196.0 -7196 -7196 0.4533660450429132 NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL NULL 1111111111111111111111111111111110100011011110110101000010110100 2D373139362E30 FFFFFFFFA37B50B4 7196.0 14 NULL -0.9834787875028149 NaN -0.18102340879563897 NaN -1.5706573607035177 -412300.4293761404 -125.59389297351194 -7196.0 -1552199500 7196.0 -1.0 -1.0 NULL
--7196.0 -7196.0 -7196 -7196 0.14567136069921982 NULL NULL 4.07753744390572 NULL NULL 5.882643049361842 NULL NULL NULL 5.882643049361842 NULL NULL NULL NULL NULL 1111111111111111111111111111111110111100001011110011111001111100 2D373139362E30 FFFFFFFFBC2F3E7C 7196.0 59 NULL -0.9834787875028149 NaN -0.18102340879563897 NaN -1.5706573607035177 -412300.4293761404 -125.59389297351194 -7196.0 -1137754500 7196.0 -1.0 -1.0 NULL
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postedDec 17, '13 at 12:33a
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