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Posted to commits@kylin.apache.org by zh...@apache.org on 2015/06/11 09:24:47 UTC

[3/5] incubator-kylin git commit: KYLIN-812 Upgrade to Calcite 0.9.2

http://git-wip-us.apache.org/repos/asf/incubator-kylin/blob/c703296a/atopcalcite/src/main/java/net/hydromatic/optiq/runtime/SqlFunctions.java
----------------------------------------------------------------------
diff --git a/atopcalcite/src/main/java/net/hydromatic/optiq/runtime/SqlFunctions.java b/atopcalcite/src/main/java/net/hydromatic/optiq/runtime/SqlFunctions.java
index ad65aa2..db99c83 100644
--- a/atopcalcite/src/main/java/net/hydromatic/optiq/runtime/SqlFunctions.java
+++ b/atopcalcite/src/main/java/net/hydromatic/optiq/runtime/SqlFunctions.java
@@ -52,1569 +52,1654 @@ import java.util.regex.Pattern;
  * If null arguments are possible, the code-generation framework checks for
  * nulls before calling the functions.</p>
  */
-@SuppressWarnings({ "unused", "rawtypes", "unchecked" })
+@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");
 
-    /** The julian date of the epoch, 1970-01-01. */
-    public static final int EPOCH_JULIAN = 2440588;
+  /** The julian date of the epoch, 1970-01-01. */
+  public static final int EPOCH_JULIAN = 2440588;
 
-    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);
         }
-    };
-
-    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;
-            }
-        }
-        int i = 0;
-        if (left) {
-            for (;;) {
-                if (i == j) {
-                    return "";
-                }
-                if (s.charAt(i) != c) {
-                    break;
-                }
-                ++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;
-                }
-                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;
-            }
-        }
-        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) {
-        // OVERRIDE POINT
-        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];
-    }
-
-    // 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";
+      };
+
+  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
         }
-        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";
+        // 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;
         }
-        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;
+      }
+      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 "";
         }
-    }
-
-    /** 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");
+        if (s.charAt(j - 1) != c) {
+          break;
         }
-    }
-
-    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) / DateTimeUtil.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) % DateTimeUtil.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;
+        --j;
+      }
+    }
+    int i = 0;
+    if (left) {
+      for (;;) {
+        if (i == j) {
+          return "";
         }
-        return toLong(v, LOCAL_TZ);
-    }
-
-    public static long toLong(String s) {
-        if (s.startsWith("199") && s.contains(":")) {
-            return Timestamp.valueOf(s).getTime();
+        if (s.charAt(i) != c) {
+          break;
         }
-        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;
-    }
-
-    /** Cheap, unsafe, long power. power(2, 3) returns 8. */
-    public static long powerX(long a, long b) {
-        long x = 1;
-        while (b > 0) {
-            x *= a;
-            --b;
-        }
-        return x;
-    }
-
-    /** 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;
+        ++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 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;
-    }
-
-    /** Helper for CAST({timestamp} AS VARCHAR(n)). */
-    public static String unixTimestampToString(long timestamp) {
-        final StringBuilder buf = new StringBuilder(17);
-        int date = (int) (timestamp / DateTimeUtil.MILLIS_PER_DAY);
-        int time = (int) (timestamp % DateTimeUtil.MILLIS_PER_DAY);
-        if (time < 0) {
-            --date;
-            time += DateTimeUtil.MILLIS_PER_DAY;
+        if (s.byteAt(j - 1) != 0) {
+          break;
         }
-        unixDateToString(buf, date);
-        buf.append(' ');
-        unixTimeToString(buf, time);
-        return buf.toString();
-    }
-
-    /** Helper for CAST({timestamp} AS VARCHAR(n)). */
-    public static String unixTimeToString(int time) {
-        final StringBuilder buf = new StringBuilder(8);
-        unixTimeToString(buf, time);
-        return buf.toString();
-    }
-
-    private static void unixTimeToString(StringBuilder buf, int time) {
-        int h = time / 3600000;
-        int time2 = time % 3600000;
-        int m = time2 / 60000;
-        int time3 = time2 % 60000;
-        int s = time3 / 1000;
-        int ms = time3 % 1000;
-        int2(buf, h);
-        buf.append(':');
-        int2(buf, m);
-        buf.append(':');
-        int2(buf, s);
-    }
-
-    /** 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) % DateTimeUtil.MILLIS_PER_DAY);
-        if (time < 0) {
-            time += DateTimeUtil.MILLIS_PER_DAY;
+        --j;
+      }
+    }
+    int i = 0;
+    if (left) {
+      for (;;) {
+        if (i == j) {
+          return ByteString.EMPTY;
         }
-        return time;
-    }
-
-    /** SQL {@code CURRENT_DATE} function. */
-    @NonDeterministic
-    public static int currentDate(DataContext root) {
-        final long timestamp = currentTimestamp(root);
-        int date = (int) (timestamp / DateTimeUtil.MILLIS_PER_DAY);
-        final int time = (int) (timestamp % DateTimeUtil.MILLIS_PER_DAY);
-        if (time < 0) {
-            --date;
+        if (s.byteAt(i) != 0) {
+          break;
         }
-        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) % DateTimeUtil.MILLIS_PER_DAY);
-    }
-
-    private static void int2(StringBuilder buf, int i) {
-        buf.append((char) ('0' + (i / 10) % 10));
-        buf.append((char) ('0' + i % 10));
-    }
-
-    private static void int4(StringBuilder buf, int i) {
-        buf.append((char) ('0' + (i / 1000) % 10));
-        buf.append((char) ('0' + (i / 100) % 10));
-        buf.append((char) ('0' + (i / 10) % 10));
-        buf.append((char) ('0' + i % 10));
-    }
-
-    public static int dateStringToUnixDate(String s) {
-        int hyphen1 = s.indexOf('-');
-        int y;
-        int m;
-        int d;
-        if (hyphen1 < 0) {
-            y = Integer.parseInt(s.trim());
-            m = 1;
-            d = 1;
-        } else {
-            y = Integer.parseInt(s.substring(0, hyphen1).trim());
-            final int hyphen2 = s.indexOf('-', hyphen1 + 1);
-            if (hyphen2 < 0) {
-                m = Integer.parseInt(s.substring(hyphen1 + 1).trim());
-                d = 1;
-            } else {
-                m = Integer.parseInt(s.substring(hyphen1 + 1, hyphen2).trim());
-                d = Integer.parseInt(s.substring(hyphen2 + 1).trim());
-            }
-        }
-        return ymdToUnixDate(y, m, d);
-    }
-
-    public static int timeStringToUnixDate(String v) {
-        return timeStringToUnixDate(v, 0);
-    }
-
-    public static int timeStringToUnixDate(String v, int start) {
-        final int colon1 = v.indexOf(':', start);
-        int hour;
-        int minute;
-        int second;
-        int milli;
-        if (colon1 < 0) {
-            hour = Integer.parseInt(v.trim());
-            minute = 1;
-            second = 1;
-            milli = 0;
-        } else {
-            hour = Integer.parseInt(v.substring(start, colon1).trim());
-            final int colon2 = v.indexOf(':', colon1 + 1);
-            if (colon2 < 0) {
-                minute = Integer.parseInt(v.substring(colon1 + 1).trim());
-                second = 1;
-                milli = 0;
-            } else {
-                minute = Integer.parseInt(v.substring(colon1 + 1, colon2).trim());
-                int dot = v.indexOf('.', colon2);
-                if (dot < 0) {
-                    second = Integer.parseInt(v.substring(colon2 + 1).trim());
-                    milli = 0;
-                } else {
-                    second = Integer.parseInt(v.substring(colon2 + 1, dot).trim());
-                    milli = Integer.parseInt(v.substring(dot + 1).trim());
-                }
-            }
-        }
-        return hour * (int) DateTimeUtil.MILLIS_PER_HOUR + minute * (int) DateTimeUtil.MILLIS_PER_MINUTE + second * (int) DateTimeUtil.MILLIS_PER_SECOND + milli;
-    }
-
-    public static long timestampStringToUnixDate(String s) {
-        final long d;
-        final long t;
-        s = s.trim();
-        int space = s.indexOf(' ');
-        if (space >= 0) {
-            d = dateStringToUnixDate(s.substring(0, space));
-            t = timeStringToUnixDate(s, space + 1);
+        ++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) {
+    // OVERRIDE POINT
+    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];
+  }
+
+  // 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)  / DateTimeUtil.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) % DateTimeUtil.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;
+  }
+
+  /** Cheap, unsafe, long power. power(2, 3) returns 8. */
+  public static long powerX(long a, long b) {
+    long x = 1;
+    while (b > 0) {
+      x *= a;
+      --b;
+    }
+    return x;
+  }
+
+  /** 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;
+  }
+
+  /** Helper for CAST({timestamp} AS VARCHAR(n)). */
+  public static String unixTimestampToString(long timestamp) {
+    final StringBuilder buf = new StringBuilder(17);
+    int date = (int) (timestamp / DateTimeUtil.MILLIS_PER_DAY);
+    int time = (int) (timestamp % DateTimeUtil.MILLIS_PER_DAY);
+    if (time < 0) {
+      --date;
+      time += DateTimeUtil.MILLIS_PER_DAY;
+    }
+    unixDateToString(buf, date);
+    buf.append(' ');
+    unixTimeToString(buf, time);
+    return buf.toString();
+  }
+
+  /** Helper for CAST({timestamp} AS VARCHAR(n)). */
+  public static String unixTimeToString(int time) {
+    final StringBuilder buf = new StringBuilder(8);
+    unixTimeToString(buf, time);
+    return buf.toString();
+  }
+
+  private static void unixTimeToString(StringBuilder buf, int time) {
+    int h = time / 3600000;
+    int time2 = time % 3600000;
+    int m = time2 / 60000;
+    int time3 = time2 % 60000;
+    int s = time3 / 1000;
+    int ms = time3 % 1000;
+    int2(buf, h);
+    buf.append(':');
+    int2(buf, m);
+    buf.append(':');
+    int2(buf, s);
+  }
+
+  /** 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) % DateTimeUtil.MILLIS_PER_DAY);
+    if (time < 0) {
+      time += DateTimeUtil.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 / DateTimeUtil.MILLIS_PER_DAY);
+    final int time = (int) (timestamp % DateTimeUtil.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) % DateTimeUtil.MILLIS_PER_DAY);
+  }
+
+  private static void int2(StringBuilder buf, int i) {
+    buf.append((char) ('0' + (i / 10) % 10));
+    buf.append((char) ('0' + i % 10));
+  }
+
+  private static void int4(StringBuilder buf, int i) {
+    buf.append((char) ('0' + (i / 1000) % 10));
+    buf.append((char) ('0' + (i / 100) % 10));
+    buf.append((char) ('0' + (i / 10) % 10));
+    buf.append((char) ('0' + i % 10));
+  }
+
+  public static int dateStringToUnixDate(String s) {
+    int hyphen1 = s.indexOf('-');
+    int y;
+    int m;
+    int d;
+    if (hyphen1 < 0) {
+      y = Integer.parseInt(s.trim());
+      m = 1;
+      d = 1;
+    } else {
+      y = Integer.parseInt(s.substring(0, hyphen1).trim());
+      final int hyphen2 = s.indexOf('-', hyphen1 + 1);
+      if (hyphen2 < 0) {
+        m = Integer.parseInt(s.substring(hyphen1 + 1).trim());
+        d = 1;
+      } else {
+        m = Integer.parseInt(s.substring(hyphen1 + 1, hyphen2).trim());
+        d = Integer.parseInt(s.substring(hyphen2 + 1).trim());
+      }
+    }
+    return ymdToUnixDate(y, m, d);
+  }
+
+  public static int timeStringToUnixDate(String v) {
+    return timeStringToUnixDate(v, 0);
+  }
+
+  public static int timeStringToUnixDate(String v, int start) {
+    final int colon1 = v.indexOf(':', start);
+    int hour;
+    int minute;
+    int second;
+    int milli;
+    if (colon1 < 0) {
+      hour = Integer.parseInt(v.trim());
+      minute = 1;
+      second = 1;
+      milli = 0;
+    } else {
+      hour = Integer.parseInt(v.substring(start, colon1).trim());
+      final int colon2 = v.indexOf(':', colon1 + 1);
+      if (colon2 < 0) {
+        minute = Integer.parseInt(v.substring(colon1 + 1).trim());
+        second = 1;
+        milli = 0;
+      } else {
+        minute = Integer.parseInt(v.substring(colon1 + 1, colon2).trim());
+        int dot = v.indexOf('.', colon2);
+        if (dot < 0) {
+          second = Integer.parseInt(v.substring(colon2 + 1).trim());
+          milli = 0;
         } else {
-            d = dateStringToUnixDate(s);
-            t = 0;
+          second = Integer.parseInt(v.substring(colon2 + 1, dot).trim());
+          milli = Integer.parseInt(v.substring(dot + 1).trim());
         }
-        return d * DateTimeUtil.MILLIS_PER_DAY + t;
-    }
-
-    /** Helper for CAST({date} AS VARCHAR(n)). */
-    public static String unixDateToString(int date) {
-        final StringBuilder buf = new StringBuilder(10);
-        unixDateToString(buf, date);
-        return buf.toString();
-    }
-
-    private static void unixDateToString(StringBuilder buf, int date) {
-        julianToString(buf, date + EPOCH_JULIAN);
-    }
-
-    private static void julianToString(StringBuilder buf, int julian) {
-        // this shifts the epoch back to astronomical year -4800 instead of the
-        // start of the Christian era in year AD 1 of the proleptic Gregorian
-        // calendar.
-        int j = julian + 32044;
-        int g = j / 146097;
-        int dg = j % 146097;
-        int c = (dg / 36524 + 1) * 3 / 4;
-        int dc = dg - c * 36524;
-        int b = dc / 1461;
-        int db = dc % 1461;
-        int a = (db / 365 + 1) * 3 / 4;
-        int da = db - a * 365;
-
-        // integer number of full years elapsed since March 1, 4801 BC
-        int y = g * 400 + c * 100 + b * 4 + a;
-        // integer number of full months elapsed since the last March 1
-        int m = (da * 5 + 308) / 153 - 2;
-        // number of days elapsed since day 1 of the month
-        int d = da - (m + 4) * 153 / 5 + 122;
-        int year = y - 4800 + (m + 2) / 12;
-        int month = (m + 2) % 12 + 1;
-        int day = d + 1;
-        int4(buf, year);
-        buf.append('-');
-        int2(buf, month);
-        buf.append('-');
-        int2(buf, day);
-    }
-
-    public static long unixDateExtract(TimeUnitRange range, long date) {
-        return julianExtract(range, (int) date + EPOCH_JULIAN);
-    }
-
-    private static int julianExtract(TimeUnitRange range, int julian) {
-        // this shifts the epoch back to astronomical year -4800 instead of the
-        // start of the Christian era in year AD 1 of the proleptic Gregorian
-        // calendar.
-        int j = julian + 32044;
-        int g = j / 146097;
-        int dg = j % 146097;
-        int c = (dg / 36524 + 1) * 3 / 4;
-        int dc = dg - c * 36524;
-        int b = dc / 1461;
-        int db = dc % 1461;
-        int a = (db / 365 + 1) * 3 / 4;
-        int da = db - a * 365;
-
-        // integer number of full years elapsed since March 1, 4801 BC
-        int y = g * 400 + c * 100 + b * 4 + a;
-        // integer number of full months elapsed since the last March 1
-        int m = (da * 5 + 308) / 153 - 2;
-        // number of days elapsed since day 1 of the month
-        int d = da - (m + 4) * 153 / 5 + 122;
-        int year = y - 4800 + (m + 2) / 12;
-        int month = (m + 2) % 12 + 1;
-        int day = d + 1;
-        switch (range) {
-        case YEAR:
-            return year;
-        case MONTH:
-            return month;
-        case DAY:
-            return day;
-        default:
-            throw new AssertionError(range);
-        }
-    }
-
-    public static int ymdToUnixDate(int year, int month, int day) {
-        final int julian = ymdToJulian(year, month, day);
-        return julian - EPOCH_JULIAN;
-    }
-
-    public static int ymdToJulian(int year, int month, int day) {
-        int a = (14 - month) / 12;
-        int y = year + 4800 - a;
-        int m = month + 12 * a - 3;
-        int j = day + (153 * m + 2) / 5 + 365 * y + y / 4 - y / 100 + y / 400 - 32045;
-        if (j < 2299161) {
-            j = day + (153 * m + 2) / 5 + 365 * y + y / 4 - 32083;
-        }
-        return j;
-    }
-
-    public static String intervalYearMonthToString(int v, TimeUnitRange range) {
-        final StringBuilder buf = new StringBuilder();
-        if (v >= 0) {
-            buf.append('+');
-        } else {
-            buf.append('-');
-            v = -v;
-        }
-        final int y;
-        final int m;
-        switch (range) {
-        case YEAR:
-            v = roundUp(v, 12);
-            y = v / 12;
-            buf.append(y);
-            break;
-        case YEAR_TO_MONTH:
-            y = v / 12;
-            buf.append(y);
-            buf.append('-');
-            m = v % 12;
-            number(buf, m, 2);
-            break;
-        case MONTH:
-            m = v;
-            buf.append(m);
-            break;
-        default:
-            throw new AssertionError(range);
-        }
-        return buf.toString();
-    }
-
-    private static StringBuilder number(StringBuilder buf, int v, int n) {
-        for (int k = digitCount(v); k < n; k++) {
-            buf.append('0');
-        }
-        return buf.append(v);
-    }
-
-    public static int digitCount(int v) {
-        for (int n = 1;; n++) {
-            v /= 10;
-            if (v == 0) {
-                return n;
-            }
-        }
-    }
-
-    public static String intervalDayTimeToString(long v, TimeUnitRange range, int scale) {
-        final StringBuilder buf = new StringBuilder();
-        if (v >= 0) {
-            buf.append('+');
-        } else {
-            buf.append('-');
-            v = -v;
-        }
-        final long ms;
-        final long s;
-        final long m;
-        final long h;
-        final long d;
-        switch (range) {
-        case DAY_TO_SECOND:
-            v = roundUp(v, powerX(10, 3 - scale));
-            ms = v % 1000;
-            v /= 1000;
-            s = v % 60;
-            v /= 60;
-            m = v % 60;
-            v /= 60;
-            h = v % 24;
-            v /= 24;
-            d = v;
-            buf.append((int) d);
-            buf.append(' ');
-            number(buf, (int) h, 2);
-            buf.append(':');
-            number(buf, (int) m, 2);
-            buf.append(':');
-            number(buf, (int) s, 2);
-            fraction(buf, scale, ms);
-            break;
-        case DAY_TO_MINUTE:
-            v = roundUp(v, 1000 * 60);
-            v /= 1000;
-            v /= 60;
-            m = v % 60;
-            v /= 60;
-            h = v % 24;
-            v /= 24;
-            d = v;
-            buf.append((int) d);
-            buf.append(' ');
-            number(buf, (int) h, 2);
-            buf.append(':');
-            number(buf, (int) m, 2);
-            break;
-        case DAY_TO_HOUR:
-            v = roundUp(v, 1000 * 60 * 60);
-            v /= 1000;
-            v /= 60;
-            v /= 60;
-            h = v % 24;
-            v /= 24;
-            d = v;
-            buf.append((int) d);
-            buf.append(' ');
-            number(buf, (int) h, 2);
-            break;
-        case DAY:
-            v = roundUp(v, 1000 * 60 * 60 * 24);
-            d = v / (1000 * 60 * 60 * 24);
-            buf.append((int) d);
-            break;
-        case HOUR:
-            v = roundUp(v, 1000 * 60 * 60);
-            v /= 1000;
-            v /= 60;
-            v /= 60;
-            h = v;
-            buf.append((int) h);
-            break;
-        case HOUR_TO_MINUTE:
-            v = roundUp(v, 1000 * 60);
-            v /= 1000;
-            v /= 60;
-            m = v % 60;
-            v /= 60;
-            h = v;
-            buf.append((int) h);
-            buf.append(':');
-            number(buf, (int) m, 2);
-            break;
-        case HOUR_TO_SECOND:
-            v = roundUp(v, powerX(10, 3 - scale));
-            ms = v % 1000;
-            v /= 1000;
-            s = v % 60;
-            v /= 60;
-            m = v % 60;
-            v /= 60;
-            h = v;
-            buf.append((int) h);
-            buf.append(':');
-            number(buf, (int) m, 2);
-            buf.append(':');
-            number(buf, (int) s, 2);
-            fraction(buf, scale, ms);
-            break;
-        case MINUTE_TO_SECOND:
-            v = roundUp(v, powerX(10, 3 - scale));
-            ms = v % 1000;
-            v /= 1000;
-            s = v % 60;
-            v /= 60;
-            m = v;
-            buf.append((int) m);
-            buf.append(':');
-            number(buf, (int) s, 2);
-            fraction(buf, scale, ms);
-            break;
-        case MINUTE:
-            v = roundUp(v, 1000 * 60);
-            v /= 1000;
-            v /= 60;
-            m = v;
-            buf.append((int) m);
-            break;
-        case SECOND:
-            v = roundUp(v, powerX(10, 3 - scale));
-            ms = v % 1000;
-            v /= 1000;
-            s = v;
-            buf.append((int) s);
-            fraction(buf, scale, ms);
-            break;
-        default:
-            throw new AssertionError(range);
-        }
-        return buf.toString();
-    }
-
-    /**
-     * Rounds a dividend to the nearest divisor.
-     * For example roundUp(31, 10) yields 30; roundUp(37, 10) yields 40.
-     * @param dividend Number to be divided
-     * @param divisor Number to divide by
-     * @return Rounded dividend
-     */
-    private static long roundUp(long dividend, long divisor) {
-        long remainder = dividend % divisor;
-        dividend -= remainder;
-        if (remainder * 2 > divisor) {
-            dividend += divisor;
-        }
-        return dividend;
-    }
-
-    private static int roundUp(int dividend, int divisor) {
-        int remainder = dividend % divisor;
-        dividend -= remainder;
-        if (remainder * 2 > divisor) {
-            dividend += divisor;
-        }
-        return dividend;
-    }
-
-    private static void fraction(StringBuilder buf, int scale, long ms) {
-        if (scale > 0) {
-            buf.append('.');
-            long v1 = scale == 3 ? ms : scale == 2 ? ms / 10 : scale == 1 ? ms / 100 : 0;
-            number(buf, (int) v1, scale);
-        }
-    }
-
-    /** 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 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;
-    }
-
-    /** A range of time units. The first is more significant than the
-     * other (e.g. year-to-day) or the same as the other
-     * (e.g. month). */
-    public enum TimeUnitRange {
-        YEAR, YEAR_TO_MONTH, MONTH, DAY, DAY_TO_HOUR, DAY_TO_MINUTE, DAY_TO_SECOND, HOUR, HOUR_TO_MINUTE, HOUR_TO_SECOND, MINUTE, MINUTE_TO_SECOND, SECOND;
-
-        /** Whether this is in the YEAR-TO-MONTH family of intervals. */
-        public boolean monthly() {
-            return ordinal() <= MONTH.ordinal();
-        }
-    }
+      }
+    }
+    return hour * (int) DateTimeUtil.MILLIS_PER_HOUR
+        + minute * (int) DateTimeUtil.MILLIS_PER_MINUTE
+        + second * (int) DateTimeUtil.MILLIS_PER_SECOND
+        + milli;
+  }
+
+  public static long timestampStringToUnixDate(String s) {
+    final long d;
+    final long t;
+    s = s.trim();
+    int space = s.indexOf(' ');
+    if (space >= 0) {
+      d = dateStringToUnixDate(s.substring(0, space));
+      t = timeStringToUnixDate(s, space + 1);
+    } else {
+      d = dateStringToUnixDate(s);
+      t = 0;
+    }
+    return d * DateTimeUtil.MILLIS_PER_DAY + t;
+  }
+
+  /** Helper for CAST({date} AS VARCHAR(n)). */
+  public static String unixDateToString(int date) {
+    final StringBuilder buf = new StringBuilder(10);
+    unixDateToString(buf, date);
+    return buf.toString();
+  }
+
+  private static void unixDateToString(StringBuilder buf, int date) {
+    julianToString(buf, date + EPOCH_JULIAN);
+  }
+
+  private static void julianToString(StringBuilder buf, int julian) {
+    // this shifts the epoch back to astronomical year -4800 instead of the
+    // start of the Christian era in year AD 1 of the proleptic Gregorian
+    // calendar.
+    int j = julian + 32044;
+    int g = j / 146097;
+    int dg = j % 146097;
+    int c = (dg / 36524 + 1) * 3 / 4;
+    int dc = dg - c * 36524;
+    int b = dc / 1461;
+    int db = dc % 1461;
+    int a = (db / 365 + 1) * 3 / 4;
+    int da = db - a * 365;
+
+    // integer number of full years elapsed since March 1, 4801 BC
+    int y = g * 400 + c * 100 + b * 4 + a;
+    // integer number of full months elapsed since the last March 1
+    int m = (da * 5 + 308) / 153 - 2;
+    // number of days elapsed since day 1 of the month
+    int d = da - (m + 4) * 153 / 5 + 122;
+    int year = y - 4800 + (m + 2) / 12;
+    int month = (m + 2) % 12 + 1;
+    int day = d + 1;
+    int4(buf, year);
+    buf.append('-');
+    int2(buf, month);
+    buf.append('-');
+    int2(buf, day);
+  }
+
+  public static long unixDateExtract(TimeUnitRange range, long date) {
+    return julianExtract(range, (int) date + EPOCH_JULIAN);
+  }
+
+  private static int julianExtract(TimeUnitRange range, int julian) {
+    // this shifts the epoch back to astronomical year -4800 instead of the
+    // start of the Christian era in year AD 1 of the proleptic Gregorian
+    // calendar.
+    int j = julian + 32044;
+    int g = j / 146097;
+    int dg = j % 146097;
+    int c = (dg / 36524 + 1) * 3 / 4;
+    int dc = dg - c * 36524;
+    int b = dc / 1461;
+    int db = dc % 1461;
+    int a = (db / 365 + 1) * 3 / 4;
+    int da = db - a * 365;
+
+    // integer number of full years elapsed since March 1, 4801 BC

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