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Posted to commits@kylin.apache.org by ma...@apache.org on 2015/08/13 16:24:25 UTC

[16/17] incubator-kylin git commit: reformat code

http://git-wip-us.apache.org/repos/asf/incubator-kylin/blob/1ae21c00/atopcalcite/src/main/java/org/apache/calcite/runtime/SqlFunctions.java
----------------------------------------------------------------------
diff --git a/atopcalcite/src/main/java/org/apache/calcite/runtime/SqlFunctions.java b/atopcalcite/src/main/java/org/apache/calcite/runtime/SqlFunctions.java
index 80b9fdd..236601f 100644
--- a/atopcalcite/src/main/java/org/apache/calcite/runtime/SqlFunctions.java
+++ b/atopcalcite/src/main/java/org/apache/calcite/runtime/SqlFunctions.java
@@ -21,16 +21,6 @@
  */
 package org.apache.calcite.runtime;
 
-import org.apache.calcite.DataContext;
-import org.apache.calcite.avatica.util.ByteString;
-import org.apache.calcite.avatica.util.DateTimeUtils;
-import org.apache.calcite.linq4j.Enumerable;
-import org.apache.calcite.linq4j.Linq4j;
-import org.apache.calcite.linq4j.function.Deterministic;
-import org.apache.calcite.linq4j.function.Function1;
-import org.apache.calcite.linq4j.function.NonDeterministic;
-import org.apache.calcite.linq4j.tree.Primitive;
-
 import java.math.BigDecimal;
 import java.math.BigInteger;
 import java.math.MathContext;
@@ -45,6 +35,16 @@ import java.util.TimeZone;
 import java.util.concurrent.atomic.AtomicLong;
 import java.util.regex.Pattern;
 
+import org.apache.calcite.DataContext;
+import org.apache.calcite.avatica.util.ByteString;
+import org.apache.calcite.avatica.util.DateTimeUtils;
+import org.apache.calcite.linq4j.Enumerable;
+import org.apache.calcite.linq4j.Linq4j;
+import org.apache.calcite.linq4j.function.Deterministic;
+import org.apache.calcite.linq4j.function.Function1;
+import org.apache.calcite.linq4j.function.NonDeterministic;
+import org.apache.calcite.linq4j.tree.Primitive;
+
 /**
  * Helper methods to implement SQL functions in generated code.
  *
@@ -59,1319 +59,1258 @@ import java.util.regex.Pattern;
 @SuppressWarnings("UnnecessaryUnboxing")
 @Deterministic
 public class SqlFunctions {
-  private static final DecimalFormat DOUBLE_FORMAT =
-      new DecimalFormat("0.0E0");
+    private static final DecimalFormat DOUBLE_FORMAT = new DecimalFormat("0.0E0");
 
-  private static final TimeZone LOCAL_TZ = TimeZone.getDefault();
+    private static final TimeZone LOCAL_TZ = TimeZone.getDefault();
 
-  private static final Function1<List<Object>, Enumerable<Object>>
-  LIST_AS_ENUMERABLE =
-      new Function1<List<Object>, Enumerable<Object>>() {
+    private static final Function1<List<Object>, Enumerable<Object>> LIST_AS_ENUMERABLE = new Function1<List<Object>, Enumerable<Object>>() {
         public Enumerable<Object> apply(List<Object> list) {
-          return Linq4j.asEnumerable(list);
+            return Linq4j.asEnumerable(list);
         }
-      };
-
-  /** Holds, for each thread, a map from sequence name to sequence current
-   * value.
-   *
-   * <p>This is a straw man of an implementation whose main goal is to prove
-   * that sequences can be parsed, validated and planned. A real application
-   * will want persistent values for sequences, shared among threads. */
-  private static final ThreadLocal<Map<String, AtomicLong>> THREAD_SEQUENCES =
-      new ThreadLocal<Map<String, AtomicLong>>() {
-        @Override protected Map<String, AtomicLong> initialValue() {
-          return new HashMap<String, AtomicLong>();
+    };
+
+    /** Holds, for each thread, a map from sequence name to sequence current
+     * value.
+     *
+     * <p>This is a straw man of an implementation whose main goal is to prove
+     * that sequences can be parsed, validated and planned. A real application
+     * will want persistent values for sequences, shared among threads. */
+    private static final ThreadLocal<Map<String, AtomicLong>> THREAD_SEQUENCES = new ThreadLocal<Map<String, AtomicLong>>() {
+        @Override
+        protected Map<String, AtomicLong> initialValue() {
+            return new HashMap<String, AtomicLong>();
         }
-      };
-
-  private SqlFunctions() {
-  }
-
-  /** SQL SUBSTRING(string FROM ... FOR ...) function. */
-  public static String substring(String s, int from, int for_) {
-    return s.substring(from - 1, Math.min(from - 1 + for_, s.length()));
-  }
-
-  /** SQL SUBSTRING(string FROM ...) function. */
-  public static String substring(String s, int from) {
-    return s.substring(from - 1);
-  }
-
-  /** SQL UPPER(string) function. */
-  public static String upper(String s) {
-    return s.toUpperCase();
-  }
-
-  /** SQL LOWER(string) function. */
-  public static String lower(String s) {
-    return s.toLowerCase();
-  }
-
-  /** SQL INITCAP(string) function. */
-  public static String initcap(String s) {
-    // Assumes Alpha as [A-Za-z0-9]
-    // white space is treated as everything else.
-    final int len = s.length();
-    boolean start = true;
-    final StringBuilder newS = new StringBuilder();
-
-    for (int i = 0; i < len; i++) {
-      char curCh = s.charAt(i);
-      final int c = (int) curCh;
-      if (start) {  // curCh is whitespace or first character of word.
-        if (c > 47 && c < 58) { // 0-9
-          start = false;
-        } else if (c > 64 && c < 91) {  // A-Z
-          start = false;
-        } else if (c > 96 && c < 123) {  // a-z
-          start = false;
-          curCh = (char) (c - 32); // Uppercase this character
+    };
+
+    private SqlFunctions() {
+    }
+
+    /** SQL SUBSTRING(string FROM ... FOR ...) function. */
+    public static String substring(String s, int from, int for_) {
+        return s.substring(from - 1, Math.min(from - 1 + for_, s.length()));
+    }
+
+    /** SQL SUBSTRING(string FROM ...) function. */
+    public static String substring(String s, int from) {
+        return s.substring(from - 1);
+    }
+
+    /** SQL UPPER(string) function. */
+    public static String upper(String s) {
+        return s.toUpperCase();
+    }
+
+    /** SQL LOWER(string) function. */
+    public static String lower(String s) {
+        return s.toLowerCase();
+    }
+
+    /** SQL INITCAP(string) function. */
+    public static String initcap(String s) {
+        // Assumes Alpha as [A-Za-z0-9]
+        // white space is treated as everything else.
+        final int len = s.length();
+        boolean start = true;
+        final StringBuilder newS = new StringBuilder();
+
+        for (int i = 0; i < len; i++) {
+            char curCh = s.charAt(i);
+            final int c = (int) curCh;
+            if (start) { // curCh is whitespace or first character of word.
+                if (c > 47 && c < 58) { // 0-9
+                    start = false;
+                } else if (c > 64 && c < 91) { // A-Z
+                    start = false;
+                } else if (c > 96 && c < 123) { // a-z
+                    start = false;
+                    curCh = (char) (c - 32); // Uppercase this character
+                }
+                // else {} whitespace
+            } else { // Inside of a word or white space after end of word.
+                if (c > 47 && c < 58) { // 0-9
+                    // noop
+                } else if (c > 64 && c < 91) { // A-Z
+                    curCh = (char) (c + 32); // Lowercase this character
+                } else if (c > 96 && c < 123) { // a-z
+                    // noop
+                } else { // whitespace
+                    start = true;
+                }
+            }
+            newS.append(curCh);
+        } // for each character in s
+        return newS.toString();
+    }
+
+    /** SQL CHARACTER_LENGTH(string) function. */
+    public static int charLength(String s) {
+        return s.length();
+    }
+
+    /** SQL {@code string || string} operator. */
+    public static String concat(String s0, String s1) {
+        return s0 + s1;
+    }
+
+    /** SQL {@code binary || binary} operator. */
+    public static ByteString concat(ByteString s0, ByteString s1) {
+        return s0.concat(s1);
+    }
+
+    /** SQL {@code RTRIM} function applied to string. */
+    public static String rtrim(String s) {
+        return trim_(s, false, true, ' ');
+    }
+
+    /** SQL {@code LTRIM} function. */
+    public static String ltrim(String s) {
+        return trim_(s, true, false, ' ');
+    }
+
+    /** SQL {@code TRIM(... seek FROM s)} function. */
+    public static String trim(boolean leading, boolean trailing, String seek, String s) {
+        return trim_(s, leading, trailing, seek.charAt(0));
+    }
+
+    /** SQL {@code TRIM} function. */
+    private static String trim_(String s, boolean left, boolean right, char c) {
+        int j = s.length();
+        if (right) {
+            for (;;) {
+                if (j == 0) {
+                    return "";
+                }
+                if (s.charAt(j - 1) != c) {
+                    break;
+                }
+                --j;
+            }
         }
-        // else {} whitespace
-      } else {  // Inside of a word or white space after end of word.
-        if (c > 47 && c < 58) { // 0-9
-          // noop
-        } else if (c > 64 && c < 91) {  // A-Z
-          curCh = (char) (c + 32); // Lowercase this character
-        } else if (c > 96 && c < 123) {  // a-z
-          // noop
-        } else { // whitespace
-          start = true;
+        int i = 0;
+        if (left) {
+            for (;;) {
+                if (i == j) {
+                    return "";
+                }
+                if (s.charAt(i) != c) {
+                    break;
+                }
+                ++i;
+            }
         }
-      }
-      newS.append(curCh);
-    } // for each character in s
-    return newS.toString();
-  }
-
-  /** SQL CHARACTER_LENGTH(string) function. */
-  public static int charLength(String s) {
-    return s.length();
-  }
-
-  /** SQL {@code string || string} operator. */
-  public static String concat(String s0, String s1) {
-    return s0 + s1;
-  }
-
-  /** SQL {@code binary || binary} operator. */
-  public static ByteString concat(ByteString s0, ByteString s1) {
-    return s0.concat(s1);
-  }
-
-  /** SQL {@code RTRIM} function applied to string. */
-  public static String rtrim(String s) {
-    return trim_(s, false, true, ' ');
-  }
-
-  /** SQL {@code LTRIM} function. */
-  public static String ltrim(String s) {
-    return trim_(s, true, false, ' ');
-  }
-
-  /** SQL {@code TRIM(... seek FROM s)} function. */
-  public static String trim(boolean leading, boolean trailing, String seek,
-      String s) {
-    return trim_(s, leading, trailing, seek.charAt(0));
-  }
-
-  /** SQL {@code TRIM} function. */
-  private static String trim_(String s, boolean left, boolean right, char c) {
-    int j = s.length();
-    if (right) {
-      for (;;) {
-        if (j == 0) {
-          return "";
+        return s.substring(i, j);
+    }
+
+    /** SQL {@code TRIM} function applied to binary string. */
+    public static ByteString trim(ByteString s) {
+        return trim_(s, true, true);
+    }
+
+    /** Helper for CAST. */
+    public static ByteString rtrim(ByteString s) {
+        return trim_(s, false, true);
+    }
+
+    /** SQL {@code TRIM} function applied to binary string. */
+    private static ByteString trim_(ByteString s, boolean left, boolean right) {
+        int j = s.length();
+        if (right) {
+            for (;;) {
+                if (j == 0) {
+                    return ByteString.EMPTY;
+                }
+                if (s.byteAt(j - 1) != 0) {
+                    break;
+                }
+                --j;
+            }
+        }
+        int i = 0;
+        if (left) {
+            for (;;) {
+                if (i == j) {
+                    return ByteString.EMPTY;
+                }
+                if (s.byteAt(i) != 0) {
+                    break;
+                }
+                ++i;
+            }
         }
-        if (s.charAt(j - 1) != c) {
-          break;
+        return s.substring(i, j);
+    }
+
+    /** SQL {@code OVERLAY} function. */
+    public static String overlay(String s, String r, int start) {
+        if (s == null || r == null) {
+            return null;
         }
-        --j;
-      }
-    }
-    int i = 0;
-    if (left) {
-      for (;;) {
-        if (i == j) {
-          return "";
+        return s.substring(0, start - 1) + r + s.substring(start - 1 + r.length());
+    }
+
+    /** SQL {@code OVERLAY} function. */
+    public static String overlay(String s, String r, int start, int length) {
+        if (s == null || r == null) {
+            return null;
         }
-        if (s.charAt(i) != c) {
-          break;
+        return s.substring(0, start - 1) + r + s.substring(start - 1 + length);
+    }
+
+    /** SQL {@code OVERLAY} function applied to binary strings. */
+    public static ByteString overlay(ByteString s, ByteString r, int start) {
+        if (s == null || r == null) {
+            return null;
         }
-        ++i;
-      }
-    }
-    return s.substring(i, j);
-  }
-
-  /** SQL {@code TRIM} function applied to binary string. */
-  public static ByteString trim(ByteString s) {
-    return trim_(s, true, true);
-  }
-
-  /** Helper for CAST. */
-  public static ByteString rtrim(ByteString s) {
-    return trim_(s, false, true);
-  }
-
-  /** SQL {@code TRIM} function applied to binary string. */
-  private static ByteString trim_(ByteString s, boolean left, boolean right) {
-    int j = s.length();
-    if (right) {
-      for (;;) {
-        if (j == 0) {
-          return ByteString.EMPTY;
+        return s.substring(0, start - 1).concat(r).concat(s.substring(start - 1 + r.length()));
+    }
+
+    /** SQL {@code OVERLAY} function applied to binary strings. */
+    public static ByteString overlay(ByteString s, ByteString r, int start, int length) {
+        if (s == null || r == null) {
+            return null;
         }
-        if (s.byteAt(j - 1) != 0) {
-          break;
+        return s.substring(0, start - 1).concat(r).concat(s.substring(start - 1 + length));
+    }
+
+    /** SQL {@code LIKE} function. */
+    public static boolean like(String s, String pattern) {
+        final String regex = Like.sqlToRegexLike(pattern, null);
+        return Pattern.matches(regex, s);
+    }
+
+    /** SQL {@code LIKE} function with escape. */
+    public static boolean like(String s, String pattern, String escape) {
+        final String regex = Like.sqlToRegexLike(pattern, escape);
+        return Pattern.matches(regex, s);
+    }
+
+    /** SQL {@code SIMILAR} function. */
+    public static boolean similar(String s, String pattern) {
+        final String regex = Like.sqlToRegexSimilar(pattern, null);
+        return Pattern.matches(regex, s);
+    }
+
+    /** SQL {@code SIMILAR} function with escape. */
+    public static boolean similar(String s, String pattern, String escape) {
+        final String regex = Like.sqlToRegexSimilar(pattern, escape);
+        return Pattern.matches(regex, s);
+    }
+
+    // =
+
+    /** SQL = operator applied to Object values (including String; neither
+     * side may be null). */
+    public static boolean eq(Object b0, Object b1) {
+        return b0.equals(b1);
+    }
+
+    /** SQL = operator applied to BigDecimal values (neither may be null). */
+    public static boolean eq(BigDecimal b0, BigDecimal b1) {
+        return b0.stripTrailingZeros().equals(b1.stripTrailingZeros());
+    }
+
+    // <>
+
+    /** SQL &lt;&gt; operator applied to Object values (including String;
+     * neither side may be null). */
+    public static boolean ne(Object b0, Object b1) {
+        return !b0.equals(b1);
+    }
+
+    /** SQL &lt;&gt; operator applied to BigDecimal values. */
+    public static boolean ne(BigDecimal b0, BigDecimal b1) {
+        return b0.compareTo(b1) != 0;
+    }
+
+    // <
+
+    /** SQL &lt; operator applied to boolean values. */
+    public static boolean lt(boolean b0, boolean b1) {
+        return compare(b0, b1) < 0;
+    }
+
+    /** SQL &lt; operator applied to String values. */
+    public static boolean lt(String b0, String b1) {
+        return b0.compareTo(b1) < 0;
+    }
+
+    /** SQL &lt; operator applied to ByteString values. */
+    public static boolean lt(ByteString b0, ByteString b1) {
+        return b0.compareTo(b1) < 0;
+    }
+
+    /** SQL &lt; operator applied to BigDecimal values. */
+    public static boolean lt(BigDecimal b0, BigDecimal b1) {
+        return b0.compareTo(b1) < 0;
+    }
+
+    // <=
+
+    /** SQL &le; operator applied to boolean values. */
+    public static boolean le(boolean b0, boolean b1) {
+        return compare(b0, b1) <= 0;
+    }
+
+    /** SQL &le; operator applied to String values. */
+    public static boolean le(String b0, String b1) {
+        return b0.compareTo(b1) <= 0;
+    }
+
+    /** SQL &le; operator applied to ByteString values. */
+    public static boolean le(ByteString b0, ByteString b1) {
+        return b0.compareTo(b1) <= 0;
+    }
+
+    /** SQL &le; operator applied to BigDecimal values. */
+    public static boolean le(BigDecimal b0, BigDecimal b1) {
+        return b0.compareTo(b1) <= 0;
+    }
+
+    // >
+
+    /** SQL &gt; operator applied to boolean values. */
+    public static boolean gt(boolean b0, boolean b1) {
+        return compare(b0, b1) > 0;
+    }
+
+    /** SQL &gt; operator applied to String values. */
+    public static boolean gt(String b0, String b1) {
+        return b0.compareTo(b1) > 0;
+    }
+
+    /** SQL &gt; operator applied to ByteString values. */
+    public static boolean gt(ByteString b0, ByteString b1) {
+        return b0.compareTo(b1) > 0;
+    }
+
+    /** SQL &gt; operator applied to BigDecimal values. */
+    public static boolean gt(BigDecimal b0, BigDecimal b1) {
+        return b0.compareTo(b1) > 0;
+    }
+
+    // >=
+
+    /** SQL &ge; operator applied to boolean values. */
+    public static boolean ge(boolean b0, boolean b1) {
+        return compare(b0, b1) >= 0;
+    }
+
+    /** SQL &ge; operator applied to String values. */
+    public static boolean ge(String b0, String b1) {
+        return b0.compareTo(b1) >= 0;
+    }
+
+    /** SQL &ge; operator applied to ByteString values. */
+    public static boolean ge(ByteString b0, ByteString b1) {
+        return b0.compareTo(b1) >= 0;
+    }
+
+    /** SQL &ge; operator applied to BigDecimal values. */
+    public static boolean ge(BigDecimal b0, BigDecimal b1) {
+        return b0.compareTo(b1) >= 0;
+    }
+
+    // +
+
+    /** SQL <code>+</code> operator applied to int values. */
+    public static int plus(int b0, int b1) {
+        return b0 + b1;
+    }
+
+    /** SQL <code>+</code> operator applied to int values; left side may be
+     * null. */
+    public static Integer plus(Integer b0, int b1) {
+        return b0 == null ? null : (b0 + b1);
+    }
+
+    /** SQL <code>+</code> operator applied to int values; right side may be
+     * null. */
+    public static Integer plus(int b0, Integer b1) {
+        return b1 == null ? null : (b0 + b1);
+    }
+
+    /** SQL <code>+</code> operator applied to nullable int values. */
+    public static Integer plus(Integer b0, Integer b1) {
+        return (b0 == null || b1 == null) ? null : (b0 + b1);
+    }
+
+    /** SQL <code>+</code> operator applied to nullable long and int values. */
+    public static Long plus(Long b0, Integer b1) {
+        return (b0 == null || b1 == null) ? null : (b0.longValue() + b1.longValue());
+    }
+
+    /** SQL <code>+</code> operator applied to nullable int and long values. */
+    public static Long plus(Integer b0, Long b1) {
+        return (b0 == null || b1 == null) ? null : (b0.longValue() + b1.longValue());
+    }
+
+    /** SQL <code>+</code> operator applied to BigDecimal values. */
+    public static BigDecimal plus(BigDecimal b0, BigDecimal b1) {
+        return (b0 == null || b1 == null) ? null : b0.add(b1);
+    }
+
+    // -
+
+    /** SQL <code>-</code> operator applied to int values. */
+    public static int minus(int b0, int b1) {
+        return b0 - b1;
+    }
+
+    /** SQL <code>-</code> operator applied to int values; left side may be
+     * null. */
+    public static Integer minus(Integer b0, int b1) {
+        return b0 == null ? null : (b0 - b1);
+    }
+
+    /** SQL <code>-</code> operator applied to int values; right side may be
+     * null. */
+    public static Integer minus(int b0, Integer b1) {
+        return b1 == null ? null : (b0 - b1);
+    }
+
+    /** SQL <code>-</code> operator applied to nullable int values. */
+    public static Integer minus(Integer b0, Integer b1) {
+        return (b0 == null || b1 == null) ? null : (b0 - b1);
+    }
+
+    /** SQL <code>-</code> operator applied to nullable long and int values. */
+    public static Long minus(Long b0, Integer b1) {
+        return (b0 == null || b1 == null) ? null : (b0.longValue() - b1.longValue());
+    }
+
+    /** SQL <code>-</code> operator applied to nullable int and long values. */
+    public static Long minus(Integer b0, Long b1) {
+        return (b0 == null || b1 == null) ? null : (b0.longValue() - b1.longValue());
+    }
+
+    /** SQL <code>-</code> operator applied to BigDecimal values. */
+    public static BigDecimal minus(BigDecimal b0, BigDecimal b1) {
+        return (b0 == null || b1 == null) ? null : b0.subtract(b1);
+    }
+
+    // /
+
+    /** SQL <code>/</code> operator applied to int values. */
+    public static int divide(int b0, int b1) {
+        return b0 / b1;
+    }
+
+    /** SQL <code>/</code> operator applied to int values; left side may be
+     * null. */
+    public static Integer divide(Integer b0, int b1) {
+        return b0 == null ? null : (b0 / b1);
+    }
+
+    /** SQL <code>/</code> operator applied to int values; right side may be
+     * null. */
+    public static Integer divide(int b0, Integer b1) {
+        return b1 == null ? null : (b0 / b1);
+    }
+
+    /** SQL <code>/</code> operator applied to nullable int values. */
+    public static Integer divide(Integer b0, Integer b1) {
+        return (b0 == null || b1 == null) ? null : (b0 / b1);
+    }
+
+    /** SQL <code>/</code> operator applied to nullable long and int values. */
+    public static Long divide(Long b0, Integer b1) {
+        return (b0 == null || b1 == null) ? null : (b0.longValue() / b1.longValue());
+    }
+
+    /** SQL <code>/</code> operator applied to nullable int and long values. */
+    public static Long divide(Integer b0, Long b1) {
+        return (b0 == null || b1 == null) ? null : (b0.longValue() / b1.longValue());
+    }
+
+    /** SQL <code>/</code> operator applied to BigDecimal values. */
+    public static BigDecimal divide(BigDecimal b0, BigDecimal b1) {
+        return (b0 == null || b1 == null) ? null : b0.divide(b1, MathContext.DECIMAL64);
+    }
+
+    // *
+
+    /** SQL <code>*</code> operator applied to int values. */
+    public static int multiply(int b0, int b1) {
+        return b0 * b1;
+    }
+
+    /** SQL <code>*</code> operator applied to int values; left side may be
+     * null. */
+    public static Integer multiply(Integer b0, int b1) {
+        return b0 == null ? null : (b0 * b1);
+    }
+
+    /** SQL <code>*</code> operator applied to int values; right side may be
+     * null. */
+    public static Integer multiply(int b0, Integer b1) {
+        return b1 == null ? null : (b0 * b1);
+    }
+
+    /** SQL <code>*</code> operator applied to nullable int values. */
+    public static Integer multiply(Integer b0, Integer b1) {
+        return (b0 == null || b1 == null) ? null : (b0 * b1);
+    }
+
+    /** SQL <code>*</code> operator applied to nullable long and int values. */
+    public static Long multiply(Long b0, Integer b1) {
+        return (b0 == null || b1 == null) ? null : (b0.longValue() * b1.longValue());
+    }
+
+    /** SQL <code>*</code> operator applied to nullable int and long values. */
+    public static Long multiply(Integer b0, Long b1) {
+        return (b0 == null || b1 == null) ? null : (b0.longValue() * b1.longValue());
+    }
+
+    /** SQL <code>*</code> operator applied to BigDecimal values. */
+    public static BigDecimal multiply(BigDecimal b0, BigDecimal b1) {
+        return (b0 == null || b1 == null) ? null : b0.multiply(b1);
+    }
+
+    // EXP
+
+    /** SQL <code>EXP</code> operator applied to double values. */
+    public static double exp(double b0) {
+        return Math.exp(b0);
+    }
+
+    public static double exp(long b0) {
+        return Math.exp(b0);
+    }
+
+    // POWER
+
+    /** SQL <code>POWER</code> operator applied to double values. */
+    public static double power(double b0, double b1) {
+        return Math.pow(b0, b1);
+    }
+
+    public static double power(long b0, long b1) {
+        return Math.pow(b0, b1);
+    }
+
+    public static double power(long b0, BigDecimal b1) {
+        return Math.pow(b0, b1.doubleValue());
+    }
+
+    // LN
+
+    /** SQL {@code LN(number)} function applied to double values. */
+    public static double ln(double d) {
+        return Math.log(d);
+    }
+
+    /** SQL {@code LN(number)} function applied to long values. */
+    public static double ln(long b0) {
+        return Math.log(b0);
+    }
+
+    /** SQL {@code LN(number)} function applied to BigDecimal values. */
+    public static double ln(BigDecimal d) {
+        return Math.log(d.doubleValue());
+    }
+
+    // LOG10
+
+    /** SQL <code>LOG10(numeric)</code> operator applied to double values. */
+    public static double log10(double b0) {
+        return Math.log10(b0);
+    }
+
+    /** SQL {@code LOG10(number)} function applied to long values. */
+    public static double log10(long b0) {
+        return Math.log10(b0);
+    }
+
+    /** SQL {@code LOG10(number)} function applied to BigDecimal values. */
+    public static double log10(BigDecimal d) {
+        return Math.log10(d.doubleValue());
+    }
+
+    // MOD
+
+    /** SQL <code>MOD</code> operator applied to byte values. */
+    public static byte mod(byte b0, byte b1) {
+        return (byte) (b0 % b1);
+    }
+
+    /** SQL <code>MOD</code> operator applied to short values. */
+    public static short mod(short b0, short b1) {
+        return (short) (b0 % b1);
+    }
+
+    /** SQL <code>MOD</code> operator applied to int values. */
+    public static int mod(int b0, int b1) {
+        return b0 % b1;
+    }
+
+    /** SQL <code>MOD</code> operator applied to long values. */
+    public static long mod(long b0, long b1) {
+        return b0 % b1;
+    }
+
+    // temporary
+    public static BigDecimal mod(BigDecimal b0, int b1) {
+        return mod(b0, BigDecimal.valueOf(b1));
+    }
+
+    // temporary
+    public static int mod(int b0, BigDecimal b1) {
+        return mod(b0, b1.intValue());
+    }
+
+    public static BigDecimal mod(BigDecimal b0, BigDecimal b1) {
+        final BigDecimal[] bigDecimals = b0.divideAndRemainder(b1);
+        return bigDecimals[1];
+    }
+
+    // FLOOR
+
+    public static double floor(double b0) {
+        return Math.floor(b0);
+    }
+
+    public static float floor(float b0) {
+        return (float) Math.floor(b0);
+    }
+
+    public static BigDecimal floor(BigDecimal b0) {
+        return b0.setScale(0, BigDecimal.ROUND_FLOOR);
+    }
+
+    /** SQL <code>FLOOR</code> operator applied to byte values. */
+    public static byte floor(byte b0, byte b1) {
+        return (byte) floor((int) b0, (int) b1);
+    }
+
+    /** SQL <code>FLOOR</code> operator applied to short values. */
+    public static short floor(short b0, short b1) {
+        return (short) floor((int) b0, (int) b1);
+    }
+
+    /** SQL <code>FLOOR</code> operator applied to int values. */
+    public static int floor(int b0, int b1) {
+        int r = b0 % b1;
+        if (r < 0) {
+            r += b1;
         }
-        --j;
-      }
-    }
-    int i = 0;
-    if (left) {
-      for (;;) {
-        if (i == j) {
-          return ByteString.EMPTY;
+        return b0 - r;
+    }
+
+    /** SQL <code>FLOOR</code> operator applied to long values. */
+    public static long floor(long b0, long b1) {
+        long r = b0 % b1;
+        if (r < 0) {
+            r += b1;
         }
-        if (s.byteAt(i) != 0) {
-          break;
+        return b0 - r;
+    }
+
+    // temporary
+    public static BigDecimal floor(BigDecimal b0, int b1) {
+        return floor(b0, BigDecimal.valueOf(b1));
+    }
+
+    // temporary
+    public static int floor(int b0, BigDecimal b1) {
+        return floor(b0, b1.intValue());
+    }
+
+    public static BigDecimal floor(BigDecimal b0, BigDecimal b1) {
+        final BigDecimal[] bigDecimals = b0.divideAndRemainder(b1);
+        BigDecimal r = bigDecimals[1];
+        if (r.signum() < 0) {
+            r = r.add(b1);
         }
-        ++i;
-      }
-    }
-    return s.substring(i, j);
-  }
-
-  /** SQL {@code OVERLAY} function. */
-  public static String overlay(String s, String r, int start) {
-    if (s == null || r == null) {
-      return null;
-    }
-    return s.substring(0, start - 1)
-        + r
-        + s.substring(start - 1 + r.length());
-  }
-
-  /** SQL {@code OVERLAY} function. */
-  public static String overlay(String s, String r, int start, int length) {
-    if (s == null || r == null) {
-      return null;
-    }
-    return s.substring(0, start - 1)
-        + r
-        + s.substring(start - 1 + length);
-  }
-
-  /** SQL {@code OVERLAY} function applied to binary strings. */
-  public static ByteString overlay(ByteString s, ByteString r, int start) {
-    if (s == null || r == null) {
-      return null;
-    }
-    return s.substring(0, start - 1)
-           .concat(r)
-           .concat(s.substring(start - 1 + r.length()));
-  }
-
-  /** SQL {@code OVERLAY} function applied to binary strings. */
-  public static ByteString overlay(ByteString s, ByteString r, int start,
-      int length) {
-    if (s == null || r == null) {
-      return null;
-    }
-    return s.substring(0, start - 1)
-           .concat(r)
-           .concat(s.substring(start - 1 + length));
-  }
-
-  /** SQL {@code LIKE} function. */
-  public static boolean like(String s, String pattern) {
-    final String regex = Like.sqlToRegexLike(pattern, null);
-    return Pattern.matches(regex, s);
-  }
-
-  /** SQL {@code LIKE} function with escape. */
-  public static boolean like(String s, String pattern, String escape) {
-    final String regex = Like.sqlToRegexLike(pattern, escape);
-    return Pattern.matches(regex, s);
-  }
-
-  /** SQL {@code SIMILAR} function. */
-  public static boolean similar(String s, String pattern) {
-    final String regex = Like.sqlToRegexSimilar(pattern, null);
-    return Pattern.matches(regex, s);
-  }
-
-  /** SQL {@code SIMILAR} function with escape. */
-  public static boolean similar(String s, String pattern, String escape) {
-    final String regex = Like.sqlToRegexSimilar(pattern, escape);
-    return Pattern.matches(regex, s);
-  }
-
-  // =
-
-  /** SQL = operator applied to Object values (including String; neither
-   * side may be null). */
-  public static boolean eq(Object b0, Object b1) {
-    return b0.equals(b1);
-  }
-
-  /** SQL = operator applied to BigDecimal values (neither may be null). */
-  public static boolean eq(BigDecimal b0, BigDecimal b1) {
-    return b0.stripTrailingZeros().equals(b1.stripTrailingZeros());
-  }
-
-  // <>
-
-  /** SQL &lt;&gt; operator applied to Object values (including String;
-   * neither side may be null). */
-  public static boolean ne(Object b0, Object b1) {
-    return !b0.equals(b1);
-  }
-
-  /** SQL &lt;&gt; operator applied to BigDecimal values. */
-  public static boolean ne(BigDecimal b0, BigDecimal b1) {
-    return b0.compareTo(b1) != 0;
-  }
-
-  // <
-
-  /** SQL &lt; operator applied to boolean values. */
-  public static boolean lt(boolean b0, boolean b1) {
-    return compare(b0, b1) < 0;
-  }
-
-  /** SQL &lt; operator applied to String values. */
-  public static boolean lt(String b0, String b1) {
-    return b0.compareTo(b1) < 0;
-  }
-
-  /** SQL &lt; operator applied to ByteString values. */
-  public static boolean lt(ByteString b0, ByteString b1) {
-    return b0.compareTo(b1) < 0;
-  }
-
-  /** SQL &lt; operator applied to BigDecimal values. */
-  public static boolean lt(BigDecimal b0, BigDecimal b1) {
-    return b0.compareTo(b1) < 0;
-  }
-
-  // <=
-
-  /** SQL &le; operator applied to boolean values. */
-  public static boolean le(boolean b0, boolean b1) {
-    return compare(b0, b1) <= 0;
-  }
-
-  /** SQL &le; operator applied to String values. */
-  public static boolean le(String b0, String b1) {
-    return b0.compareTo(b1) <= 0;
-  }
-
-  /** SQL &le; operator applied to ByteString values. */
-  public static boolean le(ByteString b0, ByteString b1) {
-    return b0.compareTo(b1) <= 0;
-  }
-
-  /** SQL &le; operator applied to BigDecimal values. */
-  public static boolean le(BigDecimal b0, BigDecimal b1) {
-    return b0.compareTo(b1) <= 0;
-  }
-
-  // >
-
-  /** SQL &gt; operator applied to boolean values. */
-  public static boolean gt(boolean b0, boolean b1) {
-    return compare(b0, b1) > 0;
-  }
-
-  /** SQL &gt; operator applied to String values. */
-  public static boolean gt(String b0, String b1) {
-    return b0.compareTo(b1) > 0;
-  }
-
-  /** SQL &gt; operator applied to ByteString values. */
-  public static boolean gt(ByteString b0, ByteString b1) {
-    return b0.compareTo(b1) > 0;
-  }
-
-  /** SQL &gt; operator applied to BigDecimal values. */
-  public static boolean gt(BigDecimal b0, BigDecimal b1) {
-    return b0.compareTo(b1) > 0;
-  }
-
-  // >=
-
-  /** SQL &ge; operator applied to boolean values. */
-  public static boolean ge(boolean b0, boolean b1) {
-    return compare(b0, b1) >= 0;
-  }
-
-  /** SQL &ge; operator applied to String values. */
-  public static boolean ge(String b0, String b1) {
-    return b0.compareTo(b1) >= 0;
-  }
-
-  /** SQL &ge; operator applied to ByteString values. */
-  public static boolean ge(ByteString b0, ByteString b1) {
-    return b0.compareTo(b1) >= 0;
-  }
-
-  /** SQL &ge; operator applied to BigDecimal values. */
-  public static boolean ge(BigDecimal b0, BigDecimal b1) {
-    return b0.compareTo(b1) >= 0;
-  }
-
-  // +
-
-  /** SQL <code>+</code> operator applied to int values. */
-  public static int plus(int b0, int b1) {
-    return b0 + b1;
-  }
-
-  /** SQL <code>+</code> operator applied to int values; left side may be
-   * null. */
-  public static Integer plus(Integer b0, int b1) {
-    return b0 == null ? null : (b0 + b1);
-  }
-
-  /** SQL <code>+</code> operator applied to int values; right side may be
-   * null. */
-  public static Integer plus(int b0, Integer b1) {
-    return b1 == null ? null : (b0 + b1);
-  }
-
-  /** SQL <code>+</code> operator applied to nullable int values. */
-  public static Integer plus(Integer b0, Integer b1) {
-    return (b0 == null || b1 == null) ? null : (b0 + b1);
-  }
-
-  /** SQL <code>+</code> operator applied to nullable long and int values. */
-  public static Long plus(Long b0, Integer b1) {
-    return (b0 == null || b1 == null)
-        ? null
-        : (b0.longValue() + b1.longValue());
-  }
-
-  /** SQL <code>+</code> operator applied to nullable int and long values. */
-  public static Long plus(Integer b0, Long b1) {
-    return (b0 == null || b1 == null)
-        ? null
-        : (b0.longValue() + b1.longValue());
-  }
-
-  /** SQL <code>+</code> operator applied to BigDecimal values. */
-  public static BigDecimal plus(BigDecimal b0, BigDecimal b1) {
-    return (b0 == null || b1 == null) ? null : b0.add(b1);
-  }
-
-  // -
-
-  /** SQL <code>-</code> operator applied to int values. */
-  public static int minus(int b0, int b1) {
-    return b0 - b1;
-  }
-
-  /** SQL <code>-</code> operator applied to int values; left side may be
-   * null. */
-  public static Integer minus(Integer b0, int b1) {
-    return b0 == null ? null : (b0 - b1);
-  }
-
-  /** SQL <code>-</code> operator applied to int values; right side may be
-   * null. */
-  public static Integer minus(int b0, Integer b1) {
-    return b1 == null ? null : (b0 - b1);
-  }
-
-  /** SQL <code>-</code> operator applied to nullable int values. */
-  public static Integer minus(Integer b0, Integer b1) {
-    return (b0 == null || b1 == null) ? null : (b0 - b1);
-  }
-
-  /** SQL <code>-</code> operator applied to nullable long and int values. */
-  public static Long minus(Long b0, Integer b1) {
-    return (b0 == null || b1 == null)
-        ? null
-        : (b0.longValue() - b1.longValue());
-  }
-
-  /** SQL <code>-</code> operator applied to nullable int and long values. */
-  public static Long minus(Integer b0, Long b1) {
-    return (b0 == null || b1 == null)
-        ? null
-        : (b0.longValue() - b1.longValue());
-  }
-
-  /** SQL <code>-</code> operator applied to BigDecimal values. */
-  public static BigDecimal minus(BigDecimal b0, BigDecimal b1) {
-    return (b0 == null || b1 == null) ? null : b0.subtract(b1);
-  }
-
-  // /
-
-  /** SQL <code>/</code> operator applied to int values. */
-  public static int divide(int b0, int b1) {
-    return b0 / b1;
-  }
-
-  /** SQL <code>/</code> operator applied to int values; left side may be
-   * null. */
-  public static Integer divide(Integer b0, int b1) {
-    return b0 == null ? null : (b0 / b1);
-  }
-
-  /** SQL <code>/</code> operator applied to int values; right side may be
-   * null. */
-  public static Integer divide(int b0, Integer b1) {
-    return b1 == null ? null : (b0 / b1);
-  }
-
-  /** SQL <code>/</code> operator applied to nullable int values. */
-  public static Integer divide(Integer b0, Integer b1) {
-    return (b0 == null || b1 == null) ? null : (b0 / b1);
-  }
-
-  /** SQL <code>/</code> operator applied to nullable long and int values. */
-  public static Long divide(Long b0, Integer b1) {
-    return (b0 == null || b1 == null)
-        ? null
-        : (b0.longValue() / b1.longValue());
-  }
-
-  /** SQL <code>/</code> operator applied to nullable int and long values. */
-  public static Long divide(Integer b0, Long b1) {
-    return (b0 == null || b1 == null)
-        ? null
-        : (b0.longValue() / b1.longValue());
-  }
-
-  /** SQL <code>/</code> operator applied to BigDecimal values. */
-  public static BigDecimal divide(BigDecimal b0, BigDecimal b1) {
-    return (b0 == null || b1 == null) ? null : b0.divide(b1, MathContext.DECIMAL64);
-  }
-
-  // *
-
-  /** SQL <code>*</code> operator applied to int values. */
-  public static int multiply(int b0, int b1) {
-    return b0 * b1;
-  }
-
-  /** SQL <code>*</code> operator applied to int values; left side may be
-   * null. */
-  public static Integer multiply(Integer b0, int b1) {
-    return b0 == null ? null : (b0 * b1);
-  }
-
-  /** SQL <code>*</code> operator applied to int values; right side may be
-   * null. */
-  public static Integer multiply(int b0, Integer b1) {
-    return b1 == null ? null : (b0 * b1);
-  }
-
-  /** SQL <code>*</code> operator applied to nullable int values. */
-  public static Integer multiply(Integer b0, Integer b1) {
-    return (b0 == null || b1 == null) ? null : (b0 * b1);
-  }
-
-  /** SQL <code>*</code> operator applied to nullable long and int values. */
-  public static Long multiply(Long b0, Integer b1) {
-    return (b0 == null || b1 == null)
-        ? null
-        : (b0.longValue() * b1.longValue());
-  }
-
-  /** SQL <code>*</code> operator applied to nullable int and long values. */
-  public static Long multiply(Integer b0, Long b1) {
-    return (b0 == null || b1 == null)
-        ? null
-        : (b0.longValue() * b1.longValue());
-  }
-
-  /** SQL <code>*</code> operator applied to BigDecimal values. */
-  public static BigDecimal multiply(BigDecimal b0, BigDecimal b1) {
-    return (b0 == null || b1 == null) ? null : b0.multiply(b1);
-  }
-
-  // EXP
-
-  /** SQL <code>EXP</code> operator applied to double values. */
-  public static double exp(double b0) {
-    return Math.exp(b0);
-  }
-
-  public static double exp(long b0) {
-    return Math.exp(b0);
-  }
-
-  // POWER
-
-  /** SQL <code>POWER</code> operator applied to double values. */
-  public static double power(double b0, double b1) {
-    return Math.pow(b0, b1);
-  }
-
-  public static double power(long b0, long b1) {
-    return Math.pow(b0, b1);
-  }
-
-  public static double power(long b0, BigDecimal b1) {
-    return Math.pow(b0, b1.doubleValue());
-  }
-
-  // LN
-
-  /** SQL {@code LN(number)} function applied to double values. */
-  public static double ln(double d) {
-    return Math.log(d);
-  }
-
-  /** SQL {@code LN(number)} function applied to long values. */
-  public static double ln(long b0) {
-    return Math.log(b0);
-  }
-
-  /** SQL {@code LN(number)} function applied to BigDecimal values. */
-  public static double ln(BigDecimal d) {
-    return Math.log(d.doubleValue());
-  }
-
-  // LOG10
-
-  /** SQL <code>LOG10(numeric)</code> operator applied to double values. */
-  public static double log10(double b0) {
-    return Math.log10(b0);
-  }
-
-  /** SQL {@code LOG10(number)} function applied to long values. */
-  public static double log10(long b0) {
-    return Math.log10(b0);
-  }
-
-  /** SQL {@code LOG10(number)} function applied to BigDecimal values. */
-  public static double log10(BigDecimal d) {
-    return Math.log10(d.doubleValue());
-  }
-
-  // MOD
-
-  /** SQL <code>MOD</code> operator applied to byte values. */
-  public static byte mod(byte b0, byte b1) {
-    return (byte) (b0 % b1);
-  }
-
-  /** SQL <code>MOD</code> operator applied to short values. */
-  public static short mod(short b0, short b1) {
-    return (short) (b0 % b1);
-  }
-
-  /** SQL <code>MOD</code> operator applied to int values. */
-  public static int mod(int b0, int b1) {
-    return b0 % b1;
-  }
-
-  /** SQL <code>MOD</code> operator applied to long values. */
-  public static long mod(long b0, long b1) {
-    return b0 % b1;
-  }
-
-  // temporary
-  public static BigDecimal mod(BigDecimal b0, int b1) {
-    return mod(b0, BigDecimal.valueOf(b1));
-  }
-
-  // temporary
-  public static int mod(int b0, BigDecimal b1) {
-    return mod(b0, b1.intValue());
-  }
-
-  public static BigDecimal mod(BigDecimal b0, BigDecimal b1) {
-    final BigDecimal[] bigDecimals = b0.divideAndRemainder(b1);
-    return bigDecimals[1];
-  }
-
-  // FLOOR
-
-  public static double floor(double b0) {
-    return Math.floor(b0);
-  }
-
-  public static float floor(float b0) {
-    return (float) Math.floor(b0);
-  }
-
-  public static BigDecimal floor(BigDecimal b0) {
-    return b0.setScale(0, BigDecimal.ROUND_FLOOR);
-  }
-
-  /** SQL <code>FLOOR</code> operator applied to byte values. */
-  public static byte floor(byte b0, byte b1) {
-    return (byte) floor((int) b0, (int) b1);
-  }
-
-  /** SQL <code>FLOOR</code> operator applied to short values. */
-  public static short floor(short b0, short b1) {
-    return (short) floor((int) b0, (int) b1);
-  }
-
-  /** SQL <code>FLOOR</code> operator applied to int values. */
-  public static int floor(int b0, int b1) {
-    int r = b0 % b1;
-    if (r < 0) {
-      r += b1;
-    }
-    return b0 - r;
-  }
-
-  /** SQL <code>FLOOR</code> operator applied to long values. */
-  public static long floor(long b0, long b1) {
-    long r = b0 % b1;
-    if (r < 0) {
-      r += b1;
-    }
-    return b0 - r;
-  }
-
-  // temporary
-  public static BigDecimal floor(BigDecimal b0, int b1) {
-    return floor(b0, BigDecimal.valueOf(b1));
-  }
-
-  // temporary
-  public static int floor(int b0, BigDecimal b1) {
-    return floor(b0, b1.intValue());
-  }
-
-  public static BigDecimal floor(BigDecimal b0, BigDecimal b1) {
-    final BigDecimal[] bigDecimals = b0.divideAndRemainder(b1);
-    BigDecimal r = bigDecimals[1];
-    if (r.signum() < 0) {
-      r = r.add(b1);
-    }
-    return b0.subtract(r);
-  }
-
-  // CEIL
-
-  public static double ceil(double b0) {
-    return Math.ceil(b0);
-  }
-
-  public static float ceil(float b0) {
-    return (float) Math.ceil(b0);
-  }
-
-  public static BigDecimal ceil(BigDecimal b0) {
-    return b0.setScale(0, BigDecimal.ROUND_CEILING);
-  }
-
-  /** SQL <code>CEIL</code> operator applied to byte values. */
-  public static byte ceil(byte b0, byte b1) {
-    return floor((byte) (b0 + b1 - 1), b1);
-  }
-
-  /** SQL <code>CEIL</code> operator applied to short values. */
-  public static short ceil(short b0, short b1) {
-    return floor((short) (b0 + b1 - 1), b1);
-  }
-
-  /** SQL <code>CEIL</code> operator applied to int values. */
-  public static int ceil(int b0, int b1) {
-    int r = b0 % b1;
-    if (r > 0) {
-      r -= b1;
-    }
-    return b0 - r;
-  }
-
-  /** SQL <code>CEIL</code> operator applied to long values. */
-  public static long ceil(long b0, long b1) {
-    return floor(b0 + b1 - 1, b1);
-  }
-
-  // temporary
-  public static BigDecimal ceil(BigDecimal b0, int b1) {
-    return ceil(b0, BigDecimal.valueOf(b1));
-  }
-
-  // temporary
-  public static int ceil(int b0, BigDecimal b1) {
-    return ceil(b0, b1.intValue());
-  }
-
-  public static BigDecimal ceil(BigDecimal b0, BigDecimal b1) {
-    final BigDecimal[] bigDecimals = b0.divideAndRemainder(b1);
-    BigDecimal r = bigDecimals[1];
-    if (r.signum() > 0) {
-      r = r.subtract(b1);
-    }
-    return b0.subtract(r);
-  }
-
-  // ABS
-
-  /** SQL <code>ABS</code> operator applied to byte values. */
-  public static byte abs(byte b0) {
-    return (byte) Math.abs(b0);
-  }
-
-  /** SQL <code>ABS</code> operator applied to short values. */
-  public static short abs(short b0) {
-    return (short) Math.abs(b0);
-  }
-
-  /** SQL <code>ABS</code> operator applied to int values. */
-  public static int abs(int b0) {
-    return Math.abs(b0);
-  }
-
-  /** SQL <code>ABS</code> operator applied to long values. */
-  public static long abs(long b0) {
-    return Math.abs(b0);
-  }
-
-  /** SQL <code>ABS</code> operator applied to float values. */
-  public static float abs(float b0) {
-    return Math.abs(b0);
-  }
-
-  /** SQL <code>ABS</code> operator applied to double values. */
-  public static double abs(double b0) {
-    return Math.abs(b0);
-  }
-
-  /** SQL <code>ABS</code> operator applied to BigDecimal values. */
-  public static BigDecimal abs(BigDecimal b0) {
-    return b0.abs();
-  }
-
-  // Helpers
-
-  /** Helper for implementing MIN. Somewhat similar to LEAST operator. */
-  public static <T extends Comparable<T>> T lesser(T b0, T b1) {
-    return b0 == null || b0.compareTo(b1) > 0 ? b1 : b0;
-  }
-
-  /** LEAST operator. */
-  public static <T extends Comparable<T>> T least(T b0, T b1) {
-    return b0 == null || b1 != null && b0.compareTo(b1) > 0 ? b1 : b0;
-  }
-
-  public static boolean greater(boolean b0, boolean b1) {
-    return b0 || b1;
-  }
-
-  public static boolean lesser(boolean b0, boolean b1) {
-    return b0 && b1;
-  }
-
-  public static byte greater(byte b0, byte b1) {
-    return b0 > b1 ? b0 : b1;
-  }
-
-  public static byte lesser(byte b0, byte b1) {
-    return b0 > b1 ? b1 : b0;
-  }
-
-  public static char greater(char b0, char b1) {
-    return b0 > b1 ? b0 : b1;
-  }
-
-  public static char lesser(char b0, char b1) {
-    return b0 > b1 ? b1 : b0;
-  }
-
-  public static short greater(short b0, short b1) {
-    return b0 > b1 ? b0 : b1;
-  }
-
-  public static short lesser(short b0, short b1) {
-    return b0 > b1 ? b1 : b0;
-  }
-
-  public static int greater(int b0, int b1) {
-    return b0 > b1 ? b0 : b1;
-  }
-
-  public static int lesser(int b0, int b1) {
-    return b0 > b1 ? b1 : b0;
-  }
-
-  public static long greater(long b0, long b1) {
-    return b0 > b1 ? b0 : b1;
-  }
-
-  public static long lesser(long b0, long b1) {
-    return b0 > b1 ? b1 : b0;
-  }
-
-  public static float greater(float b0, float b1) {
-    return b0 > b1 ? b0 : b1;
-  }
-
-  public static float lesser(float b0, float b1) {
-    return b0 > b1 ? b1 : b0;
-  }
-
-  public static double greater(double b0, double b1) {
-    return b0 > b1 ? b0 : b1;
-  }
-
-  public static double lesser(double b0, double b1) {
-    return b0 > b1 ? b1 : b0;
-  }
-
-  /** Helper for implementing MAX. Somewhat similar to GREATEST operator. */
-  public static <T extends Comparable<T>> T greater(T b0, T b1) {
-    return b0 == null || b0.compareTo(b1) < 0 ? b1 : b0;
-  }
-
-  /** GREATEST operator. */
-  public static <T extends Comparable<T>> T greatest(T b0, T b1) {
-    return b0 == null || b1 != null && b0.compareTo(b1) < 0 ? b1 : b0;
-  }
-
-  /** Boolean comparison. */
-  public static int compare(boolean x, boolean y) {
-    return x == y ? 0 : x ? 1 : -1;
-  }
-
-  /** CAST(FLOAT AS VARCHAR). */
-  public static String toString(float x) {
-    if (x == 0) {
-      return "0E0";
-    }
-    BigDecimal bigDecimal =
-        new BigDecimal(x, MathContext.DECIMAL32).stripTrailingZeros();
-    final String s = bigDecimal.toString();
-    return s.replaceAll("0*E", "E").replace("E+", "E");
-  }
-
-  /** CAST(DOUBLE AS VARCHAR). */
-  public static String toString(double x) {
-    if (x == 0) {
-      return "0E0";
-    }
-    BigDecimal bigDecimal =
-        new BigDecimal(x, MathContext.DECIMAL64).stripTrailingZeros();
-    final String s = bigDecimal.toString();
-    return s.replaceAll("0*E", "E").replace("E+", "E");
-  }
-
-  /** CAST(DECIMAL AS VARCHAR). */
-  public static String toString(BigDecimal x) {
-    final String s = x.toString();
-    if (s.startsWith("0")) {
-      // we want ".1" not "0.1"
-      return s.substring(1);
-    } else if (s.startsWith("-0")) {
-      // we want "-.1" not "-0.1"
-      return "-" + s.substring(2);
-    } else {
-      return s;
-    }
-  }
-
-  /** CAST(BOOLEAN AS VARCHAR). */
-  public static String toString(boolean x) {
-    // Boolean.toString returns lower case -- no good.
-    return x ? "TRUE" : "FALSE";
-  }
-
-  @NonDeterministic
-  private static Object cannotConvert(Object o, Class toType) {
-    throw new RuntimeException("Cannot convert " + o + " to " + toType);
-  }
-
-  /** CAST(VARCHAR AS BOOLEAN). */
-  public static boolean toBoolean(String s) {
-    s = trim_(s, true, true, ' ');
-    if (s.equalsIgnoreCase("TRUE")) {
-      return true;
-    } else if (s.equalsIgnoreCase("FALSE")) {
-      return false;
-    } else {
-      throw new RuntimeException("Invalid character for cast");
-    }
-  }
-
-  public static boolean toBoolean(Number number) {
-    return !number.equals(0);
-  }
-
-  public static boolean toBoolean(Object o) {
-    return o instanceof Boolean ? (Boolean) o
-        : o instanceof Number ? toBoolean((Number) o)
-        : o instanceof String ? toBoolean((String) o)
-        : (Boolean) cannotConvert(o, boolean.class);
-  }
-
-  // Don't need parseByte etc. - Byte.parseByte is sufficient.
-
-  public static byte toByte(Object o) {
-    return o instanceof Byte ? (Byte) o
-        : o instanceof Number ? toByte((Number) o)
-        : Byte.parseByte(o.toString());
-  }
-
-  public static byte toByte(Number number) {
-    return number.byteValue();
-  }
-
-  public static char toChar(String s) {
-    return s.charAt(0);
-  }
-
-  public static Character toCharBoxed(String s) {
-    return s.charAt(0);
-  }
-
-  public static short toShort(String s) {
-    return Short.parseShort(s.trim());
-  }
-
-  public static short toShort(Number number) {
-    return number.shortValue();
-  }
-
-  public static short toShort(Object o) {
-    return o instanceof Short ? (Short) o
-        : o instanceof Number ? toShort((Number) o)
-        : o instanceof String ? toShort((String) o)
-        : (Short) cannotConvert(o, short.class);
-  }
-
-  public static int toInt(java.util.Date v) {
-    return toInt(v, LOCAL_TZ);
-  }
-
-  public static int toInt(java.util.Date v, TimeZone timeZone) {
-    return (int) (toLong(v, timeZone)  / DateTimeUtils.MILLIS_PER_DAY);
-  }
-
-  public static Integer toIntOptional(java.util.Date v) {
-    return v == null ? null : toInt(v);
-  }
-
-  public static Integer toIntOptional(java.util.Date v, TimeZone timeZone) {
-    return v == null
-        ? null
-        : toInt(v, timeZone);
-  }
-
-  public static long toLong(Date v) {
-    return toLong(v, LOCAL_TZ);
-  }
-
-  public static int toInt(java.sql.Time v) {
-    return (int) (toLong(v) % DateTimeUtils.MILLIS_PER_DAY);
-  }
-
-  public static Integer toIntOptional(java.sql.Time v) {
-    return v == null ? null : toInt(v);
-  }
-
-  public static int toInt(String s) {
-    return Integer.parseInt(s.trim());
-  }
-
-  public static int toInt(Number number) {
-    return number.intValue();
-  }
-
-  public static int toInt(Object o) {
-    return o instanceof Integer ? (Integer) o
-        : o instanceof Number ? toInt((Number) o)
-        : o instanceof String ? toInt((String) o)
-        : (Integer) cannotConvert(o, int.class);
-  }
-
-  public static long toLong(Timestamp v) {
-    return toLong(v, LOCAL_TZ);
-  }
-
-  // mainly intended for java.sql.Timestamp but works for other dates also
-  public static long toLong(java.util.Date v, TimeZone timeZone) {
-    final long time = v.getTime();
-    return time + timeZone.getOffset(time);
-  }
-
-  // mainly intended for java.sql.Timestamp but works for other dates also
-  public static Long toLongOptional(java.util.Date v) {
-    return v == null ? null : toLong(v, LOCAL_TZ);
-  }
-
-  public static Long toLongOptional(Timestamp v, TimeZone timeZone) {
-    if (v == null) {
-      return null;
-    }
-    return toLong(v, LOCAL_TZ);
-  }
-
-  public static long toLong(String s) {
-    if (s.startsWith("199") && s.contains(":")) {
-      return Timestamp.valueOf(s).getTime();
-    }
-    return Long.parseLong(s.trim());
-  }
-
-  public static long toLong(Number number) {
-    return number.longValue();
-  }
-
-  public static long toLong(Object o) {
-    return o instanceof Long ? (Long) o
-        : o instanceof Number ? toLong((Number) o)
-        : o instanceof String ? toLong((String) o)
-        : (Long) cannotConvert(o, long.class);
-  }
-
-  public static float toFloat(String s) {
-    return Float.parseFloat(s.trim());
-  }
-
-  public static float toFloat(Number number) {
-    return number.floatValue();
-  }
-
-  public static float toFloat(Object o) {
-    return o instanceof Float ? (Float) o
-        : o instanceof Number ? toFloat((Number) o)
-            : o instanceof String ? toFloat((String) o)
-                : (Float) cannotConvert(o, float.class);
-  }
-
-  public static double toDouble(String s) {
-    return Double.parseDouble(s.trim());
-  }
-
-  public static double toDouble(Number number) {
-    return number.doubleValue();
-  }
-
-  public static double toDouble(Object o) {
-    return o instanceof Double ? (Double) o
-        : o instanceof Number ? toDouble((Number) o)
-        : o instanceof String ? toDouble((String) o)
-        : (Double) cannotConvert(o, double.class);
-  }
-
-  public static BigDecimal toBigDecimal(String s) {
-    return new BigDecimal(s.trim());
-  }
-
-  public static BigDecimal toBigDecimal(Number number) {
-    // There are some values of "long" that cannot be represented as "double".
-    // Not so "int". If it isn't a long, go straight to double.
-    return number instanceof BigDecimal ? (BigDecimal) number
-        : number instanceof BigInteger ? new BigDecimal((BigInteger) number)
-        : number instanceof Long ? new BigDecimal(number.longValue())
-        : new BigDecimal(number.doubleValue());
-  }
-
-  public static BigDecimal toBigDecimal(Object o) {
-    return o instanceof Number ? toBigDecimal((Number) o)
-        : toBigDecimal(o.toString());
-  }
-
-  // Don't need shortValueOf etc. - Short.valueOf is sufficient.
-
-  /** Helper for CAST(... AS VARCHAR(maxLength)). */
-  public static String truncate(String s, int maxLength) {
-    return s == null ? null
-        : s.length() > maxLength ? s.substring(0, maxLength)
-        : s;
-  }
-
-  /** Helper for CAST(... AS VARBINARY(maxLength)). */
-  public static ByteString truncate(ByteString s, int maxLength) {
-    return s == null ? null
-        : s.length() > maxLength ? s.substring(0, maxLength)
-        : s;
-  }
-
-  /** SQL {@code POSITION(seek IN string)} function. */
-  public static int position(String seek, String s) {
-    return s.indexOf(seek) + 1;
-  }
-
-  /** SQL {@code POSITION(seek IN string)} function. */
-  public static int position(ByteString seek, ByteString s) {
-    return s.indexOf(seek) + 1;
-  }
-
-  /** Helper for rounding. Truncate(12345, 1000) returns 12000. */
-  public static long round(long v, long x) {
-    return truncate(v + x / 2, x);
-  }
-
-  /** Helper for rounding. Truncate(12345, 1000) returns 12000. */
-  public static long truncate(long v, long x) {
-    long remainder = v % x;
-    if (remainder < 0) {
-      remainder += x;
-    }
-    return v - remainder;
-  }
-
-  /** Helper for rounding. Truncate(12345, 1000) returns 12000. */
-  public static int round(int v, int x) {
-    return truncate(v + x / 2, x);
-  }
-
-  /** Helper for rounding. Truncate(12345, 1000) returns 12000. */
-  public static int truncate(int v, int x) {
-    int remainder = v % x;
-    if (remainder < 0) {
-      remainder += x;
-    }
-    return v - remainder;
-  }
-
-  /** SQL {@code CURRENT_TIMESTAMP} function. */
-  @NonDeterministic
-  public static long currentTimestamp(DataContext root) {
-    // Cast required for JDK 1.6.
-    return (Long) DataContext.Variable.CURRENT_TIMESTAMP.get(root);
-  }
-
-  /** SQL {@code CURRENT_TIME} function. */
-  @NonDeterministic
-  public static int currentTime(DataContext root) {
-    int time = (int) (currentTimestamp(root) % DateTimeUtils.MILLIS_PER_DAY);
-    if (time < 0) {
-      time += DateTimeUtils.MILLIS_PER_DAY;
-    }
-    return time;
-  }
-
-  /** SQL {@code CURRENT_DATE} function. */
-  @NonDeterministic
-  public static int currentDate(DataContext root) {
-    final long timestamp = currentTimestamp(root);
-    int date = (int) (timestamp / DateTimeUtils.MILLIS_PER_DAY);
-    final int time = (int) (timestamp % DateTimeUtils.MILLIS_PER_DAY);
-    if (time < 0) {
-      --date;
-    }
-    return date;
-  }
-
-  /** SQL {@code LOCAL_TIMESTAMP} function. */
-  @NonDeterministic
-  public static long localTimestamp(DataContext root) {
-    // Cast required for JDK 1.6.
-    return (Long) DataContext.Variable.LOCAL_TIMESTAMP.get(root);
-  }
-
-  /** SQL {@code LOCAL_TIME} function. */
-  @NonDeterministic
-  public static int localTime(DataContext root) {
-    return (int) (localTimestamp(root) % DateTimeUtils.MILLIS_PER_DAY);
-  }
-
-  /** Helper for "array element reference". Caller has already ensured that
-   * array and index are not null. Index is 1-based, per SQL. */
-  public static Object arrayItem(List list, int item) {
-    if (item < 1 || item > list.size()) {
-      return null;
-    }
-    return list.get(item - 1);
-  }
-
-  /** Helper for "map element reference". Caller has already ensured that
-   * array and index are not null. Index is 1-based, per SQL. */
-  public static Object mapItem(Map map, Object item) {
-    return map.get(item);
-  }
-
-  /** Implements the {@code [ ... ]} operator on an object whose type is not
-   * known until runtime.
-   */
-  public static Object item(Object object, Object index) {
-    if (object instanceof Map) {
-      return ((Map) object).get(index);
-    }
-    if (object instanceof List && index instanceof Number) {
-      List list = (List) object;
-      return list.get(((Number) index).intValue());
-    }
-    return null;
-  }
-
-  /** NULL &rarr; FALSE, FALSE &rarr; FALSE, TRUE &rarr; TRUE. */
-  public static boolean isTrue(Boolean b) {
-    return b != null && b;
-  }
-
-  /** NULL &rarr; TRUE, FALSE &rarr; FALSE, TRUE &rarr; TRUE. */
-  public static boolean isNotFalse(Boolean b) {
-    return b == null || b;
-  }
-
-  /** NULL &rarr; NULL, FALSE &rarr; TRUE, TRUE &rarr; FALSE. */
-  public static Boolean not(Boolean b) {
-    return (b == null) ? null : !b;
-  }
-
-  /** Converts a JDBC array to a list. */
-  public static List arrayToList(final java.sql.Array a) {
-    if (a == null) {
-      return null;
-    }
-    try {
-      return Primitive.asList(a.getArray());
-    } catch (SQLException e) {
-      throw new RuntimeException(e);
-    }
-  }
-
-  /** Support the {@code CURRENT VALUE OF sequence} operator. */
-  @NonDeterministic
-  public static long sequenceCurrentValue(String key) {
-    return getAtomicLong(key).get();
-  }
-
-  /** Support the {@code NEXT VALUE OF sequence} operator. */
-  @NonDeterministic
-  public static long sequenceNextValue(String key) {
-    return getAtomicLong(key).incrementAndGet();
-  }
-
-  private static AtomicLong getAtomicLong(String key) {
-    final Map<String, AtomicLong> map = THREAD_SEQUENCES.get();
-    AtomicLong atomic = map.get(key);
-    if (atomic == null) {
-      atomic = new AtomicLong();
-      map.put(key, atomic);
-    }
-    return atomic;
-  }
-
-  /** Support the SLICE function. */
-  public static List slice(List list) {
-    return list;
-  }
-
-  /** Support the ELEMENT function. */
-  public static Object element(List list) {
-    switch (list.size()) {
-    case 0:
-      return null;
-    case 1:
-      return list.get(0);
-    default:
-      throw new RuntimeException("more than one value");
-    }
-  }
-
-  /** Returns a lambda that converts a list to an enumerable. */
-  public static <E> Function1<List<E>, Enumerable<E>> listToEnumerable() {
-    //noinspection unchecked
-    return (Function1<List<E>, Enumerable<E>>) (Function1) LIST_AS_ENUMERABLE;
-  }
+        return b0.subtract(r);
+    }
+
+    // CEIL
+
+    public static double ceil(double b0) {
+        return Math.ceil(b0);
+    }
+
+    public static float ceil(float b0) {
+        return (float) Math.ceil(b0);
+    }
+
+    public static BigDecimal ceil(BigDecimal b0) {
+        return b0.setScale(0, BigDecimal.ROUND_CEILING);
+    }
+
+    /** SQL <code>CEIL</code> operator applied to byte values. */
+    public static byte ceil(byte b0, byte b1) {
+        return floor((byte) (b0 + b1 - 1), b1);
+    }
+
+    /** SQL <code>CEIL</code> operator applied to short values. */
+    public static short ceil(short b0, short b1) {
+        return floor((short) (b0 + b1 - 1), b1);
+    }
+
+    /** SQL <code>CEIL</code> operator applied to int values. */
+    public static int ceil(int b0, int b1) {
+        int r = b0 % b1;
+        if (r > 0) {
+            r -= b1;
+        }
+        return b0 - r;
+    }
+
+    /** SQL <code>CEIL</code> operator applied to long values. */
+    public static long ceil(long b0, long b1) {
+        return floor(b0 + b1 - 1, b1);
+    }
+
+    // temporary
+    public static BigDecimal ceil(BigDecimal b0, int b1) {
+        return ceil(b0, BigDecimal.valueOf(b1));
+    }
+
+    // temporary
+    public static int ceil(int b0, BigDecimal b1) {
+        return ceil(b0, b1.intValue());
+    }
+
+    public static BigDecimal ceil(BigDecimal b0, BigDecimal b1) {
+        final BigDecimal[] bigDecimals = b0.divideAndRemainder(b1);
+        BigDecimal r = bigDecimals[1];
+        if (r.signum() > 0) {
+            r = r.subtract(b1);
+        }
+        return b0.subtract(r);
+    }
+
+    // ABS
+
+    /** SQL <code>ABS</code> operator applied to byte values. */
+    public static byte abs(byte b0) {
+        return (byte) Math.abs(b0);
+    }
+
+    /** SQL <code>ABS</code> operator applied to short values. */
+    public static short abs(short b0) {
+        return (short) Math.abs(b0);
+    }
+
+    /** SQL <code>ABS</code> operator applied to int values. */
+    public static int abs(int b0) {
+        return Math.abs(b0);
+    }
+
+    /** SQL <code>ABS</code> operator applied to long values. */
+    public static long abs(long b0) {
+        return Math.abs(b0);
+    }
+
+    /** SQL <code>ABS</code> operator applied to float values. */
+    public static float abs(float b0) {
+        return Math.abs(b0);
+    }
+
+    /** SQL <code>ABS</code> operator applied to double values. */
+    public static double abs(double b0) {
+        return Math.abs(b0);
+    }
+
+    /** SQL <code>ABS</code> operator applied to BigDecimal values. */
+    public static BigDecimal abs(BigDecimal b0) {
+        return b0.abs();
+    }
+
+    // Helpers
+
+    /** Helper for implementing MIN. Somewhat similar to LEAST operator. */
+    public static <T extends Comparable<T>> T lesser(T b0, T b1) {
+        return b0 == null || b0.compareTo(b1) > 0 ? b1 : b0;
+    }
+
+    /** LEAST operator. */
+    public static <T extends Comparable<T>> T least(T b0, T b1) {
+        return b0 == null || b1 != null && b0.compareTo(b1) > 0 ? b1 : b0;
+    }
+
+    public static boolean greater(boolean b0, boolean b1) {
+        return b0 || b1;
+    }
+
+    public static boolean lesser(boolean b0, boolean b1) {
+        return b0 && b1;
+    }
+
+    public static byte greater(byte b0, byte b1) {
+        return b0 > b1 ? b0 : b1;
+    }
+
+    public static byte lesser(byte b0, byte b1) {
+        return b0 > b1 ? b1 : b0;
+    }
+
+    public static char greater(char b0, char b1) {
+        return b0 > b1 ? b0 : b1;
+    }
+
+    public static char lesser(char b0, char b1) {
+        return b0 > b1 ? b1 : b0;
+    }
+
+    public static short greater(short b0, short b1) {
+        return b0 > b1 ? b0 : b1;
+    }
+
+    public static short lesser(short b0, short b1) {
+        return b0 > b1 ? b1 : b0;
+    }
+
+    public static int greater(int b0, int b1) {
+        return b0 > b1 ? b0 : b1;
+    }
+
+    public static int lesser(int b0, int b1) {
+        return b0 > b1 ? b1 : b0;
+    }
+
+    public static long greater(long b0, long b1) {
+        return b0 > b1 ? b0 : b1;
+    }
+
+    public static long lesser(long b0, long b1) {
+        return b0 > b1 ? b1 : b0;
+    }
+
+    public static float greater(float b0, float b1) {
+        return b0 > b1 ? b0 : b1;
+    }
+
+    public static float lesser(float b0, float b1) {
+        return b0 > b1 ? b1 : b0;
+    }
+
+    public static double greater(double b0, double b1) {
+        return b0 > b1 ? b0 : b1;
+    }
+
+    public static double lesser(double b0, double b1) {
+        return b0 > b1 ? b1 : b0;
+    }
+
+    /** Helper for implementing MAX. Somewhat similar to GREATEST operator. */
+    public static <T extends Comparable<T>> T greater(T b0, T b1) {
+        return b0 == null || b0.compareTo(b1) < 0 ? b1 : b0;
+    }
+
+    /** GREATEST operator. */
+    public static <T extends Comparable<T>> T greatest(T b0, T b1) {
+        return b0 == null || b1 != null && b0.compareTo(b1) < 0 ? b1 : b0;
+    }
+
+    /** Boolean comparison. */
+    public static int compare(boolean x, boolean y) {
+        return x == y ? 0 : x ? 1 : -1;
+    }
+
+    /** CAST(FLOAT AS VARCHAR). */
+    public static String toString(float x) {
+        if (x == 0) {
+            return "0E0";
+        }
+        BigDecimal bigDecimal = new BigDecimal(x, MathContext.DECIMAL32).stripTrailingZeros();
+        final String s = bigDecimal.toString();
+        return s.replaceAll("0*E", "E").replace("E+", "E");
+    }
+
+    /** CAST(DOUBLE AS VARCHAR). */
+    public static String toString(double x) {
+        if (x == 0) {
+            return "0E0";
+        }
+        BigDecimal bigDecimal = new BigDecimal(x, MathContext.DECIMAL64).stripTrailingZeros();
+        final String s = bigDecimal.toString();
+        return s.replaceAll("0*E", "E").replace("E+", "E");
+    }
+
+    /** CAST(DECIMAL AS VARCHAR). */
+    public static String toString(BigDecimal x) {
+        final String s = x.toString();
+        if (s.startsWith("0")) {
+            // we want ".1" not "0.1"
+            return s.substring(1);
+        } else if (s.startsWith("-0")) {
+            // we want "-.1" not "-0.1"
+            return "-" + s.substring(2);
+        } else {
+            return s;
+        }
+    }
+
+    /** CAST(BOOLEAN AS VARCHAR). */
+    public static String toString(boolean x) {
+        // Boolean.toString returns lower case -- no good.
+        return x ? "TRUE" : "FALSE";
+    }
+
+    @NonDeterministic
+    private static Object cannotConvert(Object o, Class toType) {
+        throw new RuntimeException("Cannot convert " + o + " to " + toType);
+    }
+
+    /** CAST(VARCHAR AS BOOLEAN). */
+    public static boolean toBoolean(String s) {
+        s = trim_(s, true, true, ' ');
+        if (s.equalsIgnoreCase("TRUE")) {
+            return true;
+        } else if (s.equalsIgnoreCase("FALSE")) {
+            return false;
+        } else {
+            throw new RuntimeException("Invalid character for cast");
+        }
+    }
+
+    public static boolean toBoolean(Number number) {
+        return !number.equals(0);
+    }
+
+    public static boolean toBoolean(Object o) {
+        return o instanceof Boolean ? (Boolean) o : o instanceof Number ? toBoolean((Number) o) : o instanceof String ? toBoolean((String) o) : (Boolean) cannotConvert(o, boolean.class);
+    }
+
+    // Don't need parseByte etc. - Byte.parseByte is sufficient.
+
+    public static byte toByte(Object o) {
+        return o instanceof Byte ? (Byte) o : o instanceof Number ? toByte((Number) o) : Byte.parseByte(o.toString());
+    }
+
+    public static byte toByte(Number number) {
+        return number.byteValue();
+    }
+
+    public static char toChar(String s) {
+        return s.charAt(0);
+    }
+
+    public static Character toCharBoxed(String s) {
+        return s.charAt(0);
+    }
+
+    public static short toShort(String s) {
+        return Short.parseShort(s.trim());
+    }
+
+    public static short toShort(Number number) {
+        return number.shortValue();
+    }
+
+    public static short toShort(Object o) {
+        return o instanceof Short ? (Short) o : o instanceof Number ? toShort((Number) o) : o instanceof String ? toShort((String) o) : (Short) cannotConvert(o, short.class);
+    }
+
+    public static int toInt(java.util.Date v) {
+        return toInt(v, LOCAL_TZ);
+    }
+
+    public static int toInt(java.util.Date v, TimeZone timeZone) {
+        return (int) (toLong(v, timeZone) / DateTimeUtils.MILLIS_PER_DAY);
+    }
+
+    public static Integer toIntOptional(java.util.Date v) {
+        return v == null ? null : toInt(v);
+    }
+
+    public static Integer toIntOptional(java.util.Date v, TimeZone timeZone) {
+        return v == null ? null : toInt(v, timeZone);
+    }
+
+    public static long toLong(Date v) {
+        return toLong(v, LOCAL_TZ);
+    }
+
+    public static int toInt(java.sql.Time v) {
+        return (int) (toLong(v) % DateTimeUtils.MILLIS_PER_DAY);
+    }
+
+    public static Integer toIntOptional(java.sql.Time v) {
+        return v == null ? null : toInt(v);
+    }
+
+    public static int toInt(String s) {
+        return Integer.parseInt(s.trim());
+    }
+
+    public static int toInt(Number number) {
+        return number.intValue();
+    }
+
+    public static int toInt(Object o) {
+        return o instanceof Integer ? (Integer) o : o instanceof Number ? toInt((Number) o) : o instanceof String ? toInt((String) o) : (Integer) cannotConvert(o, int.class);
+    }
+
+    public static long toLong(Timestamp v) {
+        return toLong(v, LOCAL_TZ);
+    }
+
+    // mainly intended for java.sql.Timestamp but works for other dates also
+    public static long toLong(java.util.Date v, TimeZone timeZone) {
+        final long time = v.getTime();
+        return time + timeZone.getOffset(time);
+    }
+
+    // mainly intended for java.sql.Timestamp but works for other dates also
+    public static Long toLongOptional(java.util.Date v) {
+        return v == null ? null : toLong(v, LOCAL_TZ);
+    }
+
+    public static Long toLongOptional(Timestamp v, TimeZone timeZone) {
+        if (v == null) {
+            return null;
+        }
+        return toLong(v, LOCAL_TZ);
+    }
+
+    public static long toLong(String s) {
+        if (s.startsWith("199") && s.contains(":")) {
+            return Timestamp.valueOf(s).getTime();
+        }
+        return Long.parseLong(s.trim());
+    }
+
+    public static long toLong(Number number) {
+        return number.longValue();
+    }
+
+    public static long toLong(Object o) {
+        return o instanceof Long ? (Long) o : o instanceof Number ? toLong((Number) o) : o instanceof String ? toLong((String) o) : (Long) cannotConvert(o, long.class);
+    }
+
+    public static float toFloat(String s) {
+        return Float.parseFloat(s.trim());
+    }
+
+    public static float toFloat(Number number) {
+        return number.floatValue();
+    }
+
+    public static float toFloat(Object o) {
+        return o instanceof Float ? (Float) o : o instanceof Number ? toFloat((Number) o) : o instanceof String ? toFloat((String) o) : (Float) cannotConvert(o, float.class);
+    }
+
+    public static double toDouble(String s) {
+        return Double.parseDouble(s.trim());
+    }
+
+    public static double toDouble(Number number) {
+        return number.doubleValue();
+    }
+
+    public static double toDouble(Object o) {
+        return o instanceof Double ? (Double) o : o instanceof Number ? toDouble((Number) o) : o instanceof String ? toDouble((String) o) : (Double) cannotConvert(o, double.class);
+    }
+
+    public static BigDecimal toBigDecimal(String s) {
+        return new BigDecimal(s.trim());
+    }
+
+    public static BigDecimal toBigDecimal(Number number) {
+        // There are some values of "long" that cannot be represented as "double".
+        // Not so "int". If it isn't a long, go straight to double.
+        return number instanceof BigDecimal ? (BigDecimal) number : number instanceof BigInteger ? new BigDecimal((BigInteger) number) : number instanceof Long ? new BigDecimal(number.longValue()) : new BigDecimal(number.doubleValue());
+    }
+
+    public static BigDecimal toBigDecimal(Object o) {
+        return o instanceof Number ? toBigDecimal((Number) o) : toBigDecimal(o.toString());
+    }
+
+    // Don't need shortValueOf etc. - Short.valueOf is sufficient.
+
+    /** Helper for CAST(... AS VARCHAR(maxLength)). */
+    public static String truncate(String s, int maxLength) {
+        return s == null ? null : s.length() > maxLength ? s.substring(0, maxLength) : s;
+    }
+
+    /** Helper for CAST(... AS VARBINARY(maxLength)). */
+    public static ByteString truncate(ByteString s, int maxLength) {
+        return s == null ? null : s.length() > maxLength ? s.substring(0, maxLength) : s;
+    }
+
+    /** SQL {@code POSITION(seek IN string)} function. */
+    public static int position(String seek, String s) {
+        return s.indexOf(seek) + 1;
+    }
+
+    /** SQL {@code POSITION(seek IN string)} function. */
+    public static int position(ByteString seek, ByteString s) {
+        return s.indexOf(seek) + 1;
+    }
+
+    /** Helper for rounding. Truncate(12345, 1000) returns 12000. */
+    public static long round(long v, long x) {
+        return truncate(v + x / 2, x);
+    }
+
+    /** Helper for rounding. Truncate(12345, 1000) returns 12000. */
+    public static long truncate(long v, long x) {
+        long remainder = v % x;
+        if (remainder < 0) {
+            remainder += x;
+        }
+        return v - remainder;
+    }
+
+    /** Helper for rounding. Truncate(12345, 1000) returns 12000. */
+    public static int round(int v, int x) {
+        return truncate(v + x / 2, x);
+    }
+
+    /** Helper for rounding. Truncate(12345, 1000) returns 12000. */
+    public static int truncate(int v, int x) {
+        int remainder = v % x;
+        if (remainder < 0) {
+            remainder += x;
+        }
+        return v - remainder;
+    }
+
+    /** SQL {@code CURRENT_TIMESTAMP} function. */
+    @NonDeterministic
+    public static long currentTimestamp(DataContext root) {
+        // Cast required for JDK 1.6.
+        return (Long) DataContext.Variable.CURRENT_TIMESTAMP.get(root);
+    }
+
+    /** SQL {@code CURRENT_TIME} function. */
+    @NonDeterministic
+    public static int currentTime(DataContext root) {
+        int time = (int) (currentTimestamp(root) % DateTimeUtils.MILLIS_PER_DAY);
+        if (time < 0) {
+            time += DateTimeUtils.MILLIS_PER_DAY;
+        }
+        return time;
+    }
+
+    /** SQL {@code CURRENT_DATE} function. */
+    @NonDeterministic
+    public static int currentDate(DataContext root) {
+        final long timestamp = currentTimestamp(root);
+        int date = (int) (timestamp / DateTimeUtils.MILLIS_PER_DAY);
+        final int time = (int) (timestamp % DateTimeUtils.MILLIS_PER_DAY);
+        if (time < 0) {
+            --date;
+        }
+        return date;
+    }
+
+    /** SQL {@code LOCAL_TIMESTAMP} function. */
+    @NonDeterministic
+    public static long localTimestamp(DataContext root) {
+        // Cast required for JDK 1.6.
+        return (Long) DataContext.Variable.LOCAL_TIMESTAMP.get(root);
+    }
+
+    /** SQL {@code LOCAL_TIME} function. */
+    @NonDeterministic
+    public static int localTime(DataContext root) {
+        return (int) (localTimestamp(root) % DateTimeUtils.MILLIS_PER_DAY);
+    }
+
+    /** Helper for "array element reference". Caller has already ensured that
+     * array and index are not null. Index is 1-based, per SQL. */
+    public static Object arrayItem(List list, int item) {
+        if (item < 1 || item > list.size()) {
+            return null;
+        }
+        return list.get(item - 1);
+    }
+
+    /** Helper for "map element reference". Caller has already ensured that
+     * array and index are not null. Index is 1-based, per SQL. */
+    public static Object mapItem(Map map, Object item) {
+        return map.get(item);
+    }
+
+    /** Implements the {@code [ ... ]} operator on an object whose type is not
+     * known until runtime.
+     */
+    public static Object item(Object object, Object index) {
+        if (object instanceof Map) {
+            return ((Map) object).get(index);
+        }
+        if (object instanceof List && index instanceof Number) {
+            List list = (List) object;
+            return list.get(((Number) index).intValue());
+        }
+        return null;
+    }
+
+    /** NULL &rarr; FALSE, FALSE &rarr; FALSE, TRUE &rarr; TRUE. */
+    public static boolean isTrue(Boolean b) {
+        return b != null && b;
+    }
+
+    /** NULL &rarr; TRUE, FALSE &rarr; FALSE, TRUE &rarr; TRUE. */
+    public static boolean isNotFalse(Boolean b) {
+        return b == null || b;
+    }
+
+    /** NULL &rarr; NULL, FALSE &rarr; TRUE, TRUE &rarr; FALSE. */
+    public static Boolean not(Boolean b) {
+        return (b == null) ? null : !b;
+    }
+
+    /** Converts a JDBC array to a list. */
+    public static List arrayToList(final java.sql.Array a) {
+        if (a == null) {
+            return null;
+        }
+        try {
+            return Primitive.asList(a.getArray());
+        } catch (SQLException e) {
+            throw new RuntimeException(e);
+        }
+    }
+
+    /** Support the {@code CURRENT VALUE OF sequence} operator. */
+    @NonDeterministic
+    public static long sequenceCurrentValue(String key) {
+        return getAtomicLong(key).get();
+    }
+
+    /** Support the {@code NEXT VALUE OF sequence} operator. */
+    @NonDeterministic
+    public static long sequenceNextValue(String key) {
+        return getAtomicLong(key).incrementAndGet();
+    }
+
+    private static AtomicLong getAtomicLong(String key) {
+        final Map<String, AtomicLong> map = THREAD_SEQUENCES.get();
+        AtomicLong atomic = map.get(key);
+        if (atomic == null) {
+            atomic = new AtomicLong();
+            map.put(key, atomic);
+        }
+        return atomic;
+    }
+
+    /** Support the SLICE function. */
+    public static List slice(List list) {
+        return list;
+    }
+
+    /** Support the ELEMENT function. */
+    public static Object element(List list) {
+        switch (list.size()) {
+        case 0:
+            return null;
+        case 1:
+            return list.get(0);
+        default:
+            throw new RuntimeException("more than one value");
+        }
+    }
+
+    /** Returns a lambda that converts a list to an enumerable. */
+    public static <E> Function1<List<E>, Enumerable<E>> listToEnumerable() {
+        //noinspection unchecked
+        return (Function1<List<E>, Enumerable<E>>) (Function1) LIST_AS_ENUMERABLE;
+    }
 
 }