timestamp.c

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/*-------------------------------------------------------------------------
 *
 * timestamp.c
 *    Functions for the built-in SQL types "timestamp" and "interval".
 *
 * Portions Copyright (c) 1996-2024, PostgreSQL Global Development Group
 * Portions Copyright (c) 1994, Regents of the University of California
 *
 *
 * IDENTIFICATION
 *    src/backend/utils/adt/timestamp.c
 *
 *-------------------------------------------------------------------------
 */
 
#include "postgres.h"
 
#include <ctype.h>
#include <math.h>
#include <limits.h>
#include <sys/time.h>
 
#include "access/xact.h"
#include "catalog/pg_type.h"
#include "common/int.h"
#include "common/int128.h"
#include "funcapi.h"
#include "libpq/pqformat.h"
#include "miscadmin.h"
#include "nodes/nodeFuncs.h"
#include "nodes/supportnodes.h"
#include "optimizer/optimizer.h"
#include "parser/scansup.h"
#include "utils/array.h"
#include "utils/builtins.h"
#include "utils/date.h"
#include "utils/datetime.h"
#include "utils/float.h"
#include "utils/numeric.h"
#include "utils/sortsupport.h"
 
/*
 * gcc's -ffast-math switch breaks routines that expect exact results from
 * expressions like timeval / SECS_PER_HOUR, where timeval is double.
 */
#ifdef __FAST_MATH__
#error -ffast-math is known to break this code
#endif
 
#define SAMESIGN(a,b)   (((a) < 0) == ((b) < 0))
 
/* Set at postmaster start */
TimestampTz PgStartTime;
 
/* Set at configuration reload */
TimestampTz PgReloadTime;
 
typedef struct
{
    Timestamp   current;
    Timestamp   finish;
    Interval    step;
    int         step_sign;
} generate_series_timestamp_fctx;
 
typedef struct
{
    TimestampTz current;
    TimestampTz finish;
    Interval    step;
    int         step_sign;
    pg_tz      *attimezone;
} generate_series_timestamptz_fctx;
 
/*
 * The transition datatype for interval aggregates is declared as internal.
 * It's a pointer to an IntervalAggState allocated in the aggregate context.
 */
typedef struct IntervalAggState
{
    int64       N;              /* count of finite intervals processed */
    Interval    sumX;           /* sum of finite intervals processed */
    /* These counts are *not* included in N!  Use IA_TOTAL_COUNT() as needed */
    int64       pInfcount;      /* count of +infinity intervals */
    int64       nInfcount;      /* count of -infinity intervals */
} IntervalAggState;
 
#define IA_TOTAL_COUNT(ia) \
    ((ia)->N + (ia)->pInfcount + (ia)->nInfcount)
 
static TimeOffset time2t(const int hour, const int min, const int sec, const fsec_t fsec);
static Timestamp dt2local(Timestamp dt, int timezone);
static bool AdjustIntervalForTypmod(Interval *interval, int32 typmod,
                                    Node *escontext);
static TimestampTz timestamp2timestamptz(Timestamp timestamp);
static Timestamp timestamptz2timestamp(TimestampTz timestamp);
 
static void EncodeSpecialInterval(const Interval *interval, char *str);
static void interval_um_internal(const Interval *interval, Interval *result);
 
/* common code for timestamptypmodin and timestamptztypmodin */
static int32
anytimestamp_typmodin(bool istz, ArrayType *ta)
{
    int32      *tl;
    int         n;
 
    tl = ArrayGetIntegerTypmods(ta, &n);
 
    /*
     * we're not too tense about good error message here because grammar
     * shouldn't allow wrong number of modifiers for TIMESTAMP
     */
    if (n != 1)
        ereport(ERROR,
                (errcode(ERRCODE_INVALID_PARAMETER_VALUE),
                 errmsg("invalid type modifier")));
 
    return anytimestamp_typmod_check(istz, tl[0]);
}
 
/* exported so parse_expr.c can use it */
int32
anytimestamp_typmod_check(bool istz, int32 typmod)
{
    if (typmod < 0)
        ereport(ERROR,
                (errcode(ERRCODE_INVALID_PARAMETER_VALUE),
                 errmsg("TIMESTAMP(%d)%s precision must not be negative",
                        typmod, (istz ? " WITH TIME ZONE" : ""))));
    if (typmod > MAX_TIMESTAMP_PRECISION)
    {
        ereport(WARNING,
                (errcode(ERRCODE_INVALID_PARAMETER_VALUE),
                 errmsg("TIMESTAMP(%d)%s precision reduced to maximum allowed, %d",
                        typmod, (istz ? " WITH TIME ZONE" : ""),
                        MAX_TIMESTAMP_PRECISION)));
        typmod = MAX_TIMESTAMP_PRECISION;
    }
 
    return typmod;
}
 
/* common code for timestamptypmodout and timestamptztypmodout */
static char *
anytimestamp_typmodout(bool istz, int32 typmod)
{
    const char *tz = istz ? " with time zone" : " without time zone";
 
    if (typmod >= 0)
        return psprintf("(%d)%s", (int) typmod, tz);
    else
        return pstrdup(tz);
}
 
 
/*****************************************************************************
 *   USER I/O ROUTINES                                                       *
 *****************************************************************************/
 
/* timestamp_in()
 * Convert a string to internal form.
 */
Datum
timestamp_in(PG_FUNCTION_ARGS)
{
    char       *str = PG_GETARG_CSTRING(0);
#ifdef NOT_USED
    Oid         typelem = PG_GETARG_OID(1);
#endif
    int32       typmod = PG_GETARG_INT32(2);
    Node       *escontext = fcinfo->context;
    Timestamp   result;
    fsec_t      fsec;
    struct pg_tm tt,
               *tm = &tt;
    int         tz;
    int         dtype;
    int         nf;
    int         dterr;
    char       *field[MAXDATEFIELDS];
    int         ftype[MAXDATEFIELDS];
    char        workbuf[MAXDATELEN + MAXDATEFIELDS];
    DateTimeErrorExtra extra;
 
    dterr = ParseDateTime(str, workbuf, sizeof(workbuf),
                          field, ftype, MAXDATEFIELDS, &nf);
    if (dterr == 0)
        dterr = DecodeDateTime(field, ftype, nf,
                               &dtype, tm, &fsec, &tz, &extra);
    if (dterr != 0)
    {
        DateTimeParseError(dterr, &extra, str, "timestamp", escontext);
        PG_RETURN_NULL();
    }
 
    switch (dtype)
    {
        case DTK_DATE:
            if (tm2timestamp(tm, fsec, NULL, &result) != 0)
                ereturn(escontext, (Datum) 0,
                        (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                         errmsg("timestamp out of range: \"%s\"", str)));
            break;
 
        case DTK_EPOCH:
            result = SetEpochTimestamp();
            break;
 
        case DTK_LATE:
            TIMESTAMP_NOEND(result);
            break;
 
        case DTK_EARLY:
            TIMESTAMP_NOBEGIN(result);
            break;
 
        default:
            elog(ERROR, "unexpected dtype %d while parsing timestamp \"%s\"",
                 dtype, str);
            TIMESTAMP_NOEND(result);
    }
 
    AdjustTimestampForTypmod(&result, typmod, escontext);
 
    PG_RETURN_TIMESTAMP(result);
}
 
/* timestamp_out()
 * Convert a timestamp to external form.
 */
Datum
timestamp_out(PG_FUNCTION_ARGS)
{
    Timestamp   timestamp = PG_GETARG_TIMESTAMP(0);
    char       *result;
    struct pg_tm tt,
               *tm = &tt;
    fsec_t      fsec;
    char        buf[MAXDATELEN + 1];
 
    if (TIMESTAMP_NOT_FINITE(timestamp))
        EncodeSpecialTimestamp(timestamp, buf);
    else if (timestamp2tm(timestamp, NULL, tm, &fsec, NULL, NULL) == 0)
        EncodeDateTime(tm, fsec, false, 0, NULL, DateStyle, buf);
    else
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                 errmsg("timestamp out of range")));
 
    result = pstrdup(buf);
    PG_RETURN_CSTRING(result);
}
 
/*
 *      timestamp_recv          - converts external binary format to timestamp
 */
Datum
timestamp_recv(PG_FUNCTION_ARGS)
{
    StringInfo  buf = (StringInfo) PG_GETARG_POINTER(0);
 
#ifdef NOT_USED
    Oid         typelem = PG_GETARG_OID(1);
#endif
    int32       typmod = PG_GETARG_INT32(2);
    Timestamp   timestamp;
    struct pg_tm tt,
               *tm = &tt;
    fsec_t      fsec;
 
    timestamp = (Timestamp) pq_getmsgint64(buf);
 
    /* range check: see if timestamp_out would like it */
    if (TIMESTAMP_NOT_FINITE(timestamp))
         /* ok */ ;
    else if (timestamp2tm(timestamp, NULL, tm, &fsec, NULL, NULL) != 0 ||
             !IS_VALID_TIMESTAMP(timestamp))
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                 errmsg("timestamp out of range")));
 
    AdjustTimestampForTypmod(&timestamp, typmod, NULL);
 
    PG_RETURN_TIMESTAMP(timestamp);
}
 
/*
 *      timestamp_send          - converts timestamp to binary format
 */
Datum
timestamp_send(PG_FUNCTION_ARGS)
{
    Timestamp   timestamp = PG_GETARG_TIMESTAMP(0);
    StringInfoData buf;
 
    pq_begintypsend(&buf);
    pq_sendint64(&buf, timestamp);
    PG_RETURN_BYTEA_P(pq_endtypsend(&buf));
}
 
Datum
timestamptypmodin(PG_FUNCTION_ARGS)
{
    ArrayType  *ta = PG_GETARG_ARRAYTYPE_P(0);
 
    PG_RETURN_INT32(anytimestamp_typmodin(false, ta));
}
 
Datum
timestamptypmodout(PG_FUNCTION_ARGS)
{
    int32       typmod = PG_GETARG_INT32(0);
 
    PG_RETURN_CSTRING(anytimestamp_typmodout(false, typmod));
}
 
 
/*
 * timestamp_support()
 *
 * Planner support function for the timestamp_scale() and timestamptz_scale()
 * length coercion functions (we need not distinguish them here).
 */
Datum
timestamp_support(PG_FUNCTION_ARGS)
{
    Node       *rawreq = (Node *) PG_GETARG_POINTER(0);
    Node       *ret = NULL;
 
    if (IsA(rawreq, SupportRequestSimplify))
    {
        SupportRequestSimplify *req = (SupportRequestSimplify *) rawreq;
 
        ret = TemporalSimplify(MAX_TIMESTAMP_PRECISION, (Node *) req->fcall);
    }
 
    PG_RETURN_POINTER(ret);
}
 
/* timestamp_scale()
 * Adjust time type for specified scale factor.
 * Used by PostgreSQL type system to stuff columns.
 */
Datum
timestamp_scale(PG_FUNCTION_ARGS)
{
    Timestamp   timestamp = PG_GETARG_TIMESTAMP(0);
    int32       typmod = PG_GETARG_INT32(1);
    Timestamp   result;
 
    result = timestamp;
 
    AdjustTimestampForTypmod(&result, typmod, NULL);
 
    PG_RETURN_TIMESTAMP(result);
}
 
/*
 * AdjustTimestampForTypmod --- round off a timestamp to suit given typmod
 * Works for either timestamp or timestamptz.
 *
 * Returns true on success, false on failure (if escontext points to an
 * ErrorSaveContext; otherwise errors are thrown).
 */
bool
AdjustTimestampForTypmod(Timestamp *time, int32 typmod, Node *escontext)
{
    static const int64 TimestampScales[MAX_TIMESTAMP_PRECISION + 1] = {
        INT64CONST(1000000),
        INT64CONST(100000),
        INT64CONST(10000),
        INT64CONST(1000),
        INT64CONST(100),
        INT64CONST(10),
        INT64CONST(1)
    };
 
    static const int64 TimestampOffsets[MAX_TIMESTAMP_PRECISION + 1] = {
        INT64CONST(500000),
        INT64CONST(50000),
        INT64CONST(5000),
        INT64CONST(500),
        INT64CONST(50),
        INT64CONST(5),
        INT64CONST(0)
    };
 
    if (!TIMESTAMP_NOT_FINITE(*time)
        && (typmod != -1) && (typmod != MAX_TIMESTAMP_PRECISION))
    {
        if (typmod < 0 || typmod > MAX_TIMESTAMP_PRECISION)
            ereturn(escontext, false,
                    (errcode(ERRCODE_INVALID_PARAMETER_VALUE),
                     errmsg("timestamp(%d) precision must be between %d and %d",
                            typmod, 0, MAX_TIMESTAMP_PRECISION)));
 
        if (*time >= INT64CONST(0))
        {
            *time = ((*time + TimestampOffsets[typmod]) / TimestampScales[typmod]) *
                TimestampScales[typmod];
        }
        else
        {
            *time = -((((-*time) + TimestampOffsets[typmod]) / TimestampScales[typmod])
                      * TimestampScales[typmod]);
        }
    }
 
    return true;
}
 
/* timestamptz_in()
 * Convert a string to internal form.
 */
Datum
timestamptz_in(PG_FUNCTION_ARGS)
{
    char       *str = PG_GETARG_CSTRING(0);
#ifdef NOT_USED
    Oid         typelem = PG_GETARG_OID(1);
#endif
    int32       typmod = PG_GETARG_INT32(2);
    Node       *escontext = fcinfo->context;
    TimestampTz result;
    fsec_t      fsec;
    struct pg_tm tt,
               *tm = &tt;
    int         tz;
    int         dtype;
    int         nf;
    int         dterr;
    char       *field[MAXDATEFIELDS];
    int         ftype[MAXDATEFIELDS];
    char        workbuf[MAXDATELEN + MAXDATEFIELDS];
    DateTimeErrorExtra extra;
 
    dterr = ParseDateTime(str, workbuf, sizeof(workbuf),
                          field, ftype, MAXDATEFIELDS, &nf);
    if (dterr == 0)
        dterr = DecodeDateTime(field, ftype, nf,
                               &dtype, tm, &fsec, &tz, &extra);
    if (dterr != 0)
    {
        DateTimeParseError(dterr, &extra, str, "timestamp with time zone",
                           escontext);
        PG_RETURN_NULL();
    }
 
    switch (dtype)
    {
        case DTK_DATE:
            if (tm2timestamp(tm, fsec, &tz, &result) != 0)
                ereturn(escontext, (Datum) 0,
                        (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                         errmsg("timestamp out of range: \"%s\"", str)));
            break;
 
        case DTK_EPOCH:
            result = SetEpochTimestamp();
            break;
 
        case DTK_LATE:
            TIMESTAMP_NOEND(result);
            break;
 
        case DTK_EARLY:
            TIMESTAMP_NOBEGIN(result);
            break;
 
        default:
            elog(ERROR, "unexpected dtype %d while parsing timestamptz \"%s\"",
                 dtype, str);
            TIMESTAMP_NOEND(result);
    }
 
    AdjustTimestampForTypmod(&result, typmod, escontext);
 
    PG_RETURN_TIMESTAMPTZ(result);
}
 
/*
 * Try to parse a timezone specification, and return its timezone offset value
 * if it's acceptable.  Otherwise, an error is thrown.
 *
 * Note: some code paths update tm->tm_isdst, and some don't; current callers
 * don't care, so we don't bother being consistent.
 */
static int
parse_sane_timezone(struct pg_tm *tm, text *zone)
{
    char        tzname[TZ_STRLEN_MAX + 1];
    int         dterr;
    int         tz;
 
    text_to_cstring_buffer(zone, tzname, sizeof(tzname));
 
    /*
     * Look up the requested timezone.  First we try to interpret it as a
     * numeric timezone specification; if DecodeTimezone decides it doesn't
     * like the format, we try timezone abbreviations and names.
     *
     * Note pg_tzset happily parses numeric input that DecodeTimezone would
     * reject.  To avoid having it accept input that would otherwise be seen
     * as invalid, it's enough to disallow having a digit in the first
     * position of our input string.
     */
    if (isdigit((unsigned char) *tzname))
        ereport(ERROR,
                (errcode(ERRCODE_INVALID_PARAMETER_VALUE),
                 errmsg("invalid input syntax for type %s: \"%s\"",
                        "numeric time zone", tzname),
                 errhint("Numeric time zones must have \"-\" or \"+\" as first character.")));
 
    dterr = DecodeTimezone(tzname, &tz);
    if (dterr != 0)
    {
        int         type,
                    val;
        pg_tz      *tzp;
 
        if (dterr == DTERR_TZDISP_OVERFLOW)
            ereport(ERROR,
                    (errcode(ERRCODE_INVALID_PARAMETER_VALUE),
                     errmsg("numeric time zone \"%s\" out of range", tzname)));
        else if (dterr != DTERR_BAD_FORMAT)
            ereport(ERROR,
                    (errcode(ERRCODE_INVALID_PARAMETER_VALUE),
                     errmsg("time zone \"%s\" not recognized", tzname)));
 
        type = DecodeTimezoneName(tzname, &val, &tzp);
 
        if (type == TZNAME_FIXED_OFFSET)
        {
            /* fixed-offset abbreviation */
            tz = -val;
        }
        else if (type == TZNAME_DYNTZ)
        {
            /* dynamic-offset abbreviation, resolve using specified time */
            tz = DetermineTimeZoneAbbrevOffset(tm, tzname, tzp);
        }
        else
        {
            /* full zone name */
            tz = DetermineTimeZoneOffset(tm, tzp);
        }
    }
 
    return tz;
}
 
/*
 * Look up the requested timezone, returning a pg_tz struct.
 *
 * This is the same as DecodeTimezoneNameToTz, but starting with a text Datum.
 */
static pg_tz *
lookup_timezone(text *zone)
{
    char        tzname[TZ_STRLEN_MAX + 1];
 
    text_to_cstring_buffer(zone, tzname, sizeof(tzname));
 
    return DecodeTimezoneNameToTz(tzname);
}
 
/*
 * make_timestamp_internal
 *      workhorse for make_timestamp and make_timestamptz
 */
static Timestamp
make_timestamp_internal(int year, int month, int day,
                        int hour, int min, double sec)
{
    struct pg_tm tm;
    TimeOffset  date;
    TimeOffset  time;
    int         dterr;
    bool        bc = false;
    Timestamp   result;
 
    tm.tm_year = year;
    tm.tm_mon = month;
    tm.tm_mday = day;
 
    /* Handle negative years as BC */
    if (tm.tm_year < 0)
    {
        bc = true;
        tm.tm_year = -tm.tm_year;
    }
 
    dterr = ValidateDate(DTK_DATE_M, false, false, bc, &tm);
 
    if (dterr != 0)
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_FIELD_OVERFLOW),
                 errmsg("date field value out of range: %d-%02d-%02d",
                        year, month, day)));
 
    if (!IS_VALID_JULIAN(tm.tm_year, tm.tm_mon, tm.tm_mday))
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                 errmsg("date out of range: %d-%02d-%02d",
                        year, month, day)));
 
    date = date2j(tm.tm_year, tm.tm_mon, tm.tm_mday) - POSTGRES_EPOCH_JDATE;
 
    /* Check for time overflow */
    if (float_time_overflows(hour, min, sec))
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_FIELD_OVERFLOW),
                 errmsg("time field value out of range: %d:%02d:%02g",
                        hour, min, sec)));
 
    /* This should match tm2time */
    time = (((hour * MINS_PER_HOUR + min) * SECS_PER_MINUTE)
            * USECS_PER_SEC) + (int64) rint(sec * USECS_PER_SEC);
 
    if (unlikely(pg_mul_s64_overflow(date, USECS_PER_DAY, &result) ||
                 pg_add_s64_overflow(result, time, &result)))
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                 errmsg("timestamp out of range: %d-%02d-%02d %d:%02d:%02g",
                        year, month, day,
                        hour, min, sec)));
 
    /* final range check catches just-out-of-range timestamps */
    if (!IS_VALID_TIMESTAMP(result))
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                 errmsg("timestamp out of range: %d-%02d-%02d %d:%02d:%02g",
                        year, month, day,
                        hour, min, sec)));
 
    return result;
}
 
/*
 * make_timestamp() - timestamp constructor
 */
Datum
make_timestamp(PG_FUNCTION_ARGS)
{
    int32       year = PG_GETARG_INT32(0);
    int32       month = PG_GETARG_INT32(1);
    int32       mday = PG_GETARG_INT32(2);
    int32       hour = PG_GETARG_INT32(3);
    int32       min = PG_GETARG_INT32(4);
    float8      sec = PG_GETARG_FLOAT8(5);
    Timestamp   result;
 
    result = make_timestamp_internal(year, month, mday,
                                     hour, min, sec);
 
    PG_RETURN_TIMESTAMP(result);
}
 
/*
 * make_timestamptz() - timestamp with time zone constructor
 */
Datum
make_timestamptz(PG_FUNCTION_ARGS)
{
    int32       year = PG_GETARG_INT32(0);
    int32       month = PG_GETARG_INT32(1);
    int32       mday = PG_GETARG_INT32(2);
    int32       hour = PG_GETARG_INT32(3);
    int32       min = PG_GETARG_INT32(4);
    float8      sec = PG_GETARG_FLOAT8(5);
    Timestamp   result;
 
    result = make_timestamp_internal(year, month, mday,
                                     hour, min, sec);
 
    PG_RETURN_TIMESTAMPTZ(timestamp2timestamptz(result));
}
 
/*
 * Construct a timestamp with time zone.
 *      As above, but the time zone is specified as seventh argument.
 */
Datum
make_timestamptz_at_timezone(PG_FUNCTION_ARGS)
{
    int32       year = PG_GETARG_INT32(0);
    int32       month = PG_GETARG_INT32(1);
    int32       mday = PG_GETARG_INT32(2);
    int32       hour = PG_GETARG_INT32(3);
    int32       min = PG_GETARG_INT32(4);
    float8      sec = PG_GETARG_FLOAT8(5);
    text       *zone = PG_GETARG_TEXT_PP(6);
    TimestampTz result;
    Timestamp   timestamp;
    struct pg_tm tt;
    int         tz;
    fsec_t      fsec;
 
    timestamp = make_timestamp_internal(year, month, mday,
                                        hour, min, sec);
 
    if (timestamp2tm(timestamp, NULL, &tt, &fsec, NULL, NULL) != 0)
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                 errmsg("timestamp out of range")));
 
    tz = parse_sane_timezone(&tt, zone);
 
    result = dt2local(timestamp, -tz);
 
    if (!IS_VALID_TIMESTAMP(result))
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                 errmsg("timestamp out of range")));
 
    PG_RETURN_TIMESTAMPTZ(result);
}
 
/*
 * to_timestamp(double precision)
 * Convert UNIX epoch to timestamptz.
 */
Datum
float8_timestamptz(PG_FUNCTION_ARGS)
{
    float8      seconds = PG_GETARG_FLOAT8(0);
    TimestampTz result;
 
    /* Deal with NaN and infinite inputs ... */
    if (isnan(seconds))
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                 errmsg("timestamp cannot be NaN")));
 
    if (isinf(seconds))
    {
        if (seconds < 0)
            TIMESTAMP_NOBEGIN(result);
        else
            TIMESTAMP_NOEND(result);
    }
    else
    {
        /* Out of range? */
        if (seconds <
            (float8) SECS_PER_DAY * (DATETIME_MIN_JULIAN - UNIX_EPOCH_JDATE)
            || seconds >=
            (float8) SECS_PER_DAY * (TIMESTAMP_END_JULIAN - UNIX_EPOCH_JDATE))
            ereport(ERROR,
                    (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                     errmsg("timestamp out of range: \"%g\"", seconds)));
 
        /* Convert UNIX epoch to Postgres epoch */
        seconds -= ((POSTGRES_EPOCH_JDATE - UNIX_EPOCH_JDATE) * SECS_PER_DAY);
 
        seconds = rint(seconds * USECS_PER_SEC);
        result = (int64) seconds;
 
        /* Recheck in case roundoff produces something just out of range */
        if (!IS_VALID_TIMESTAMP(result))
            ereport(ERROR,
                    (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                     errmsg("timestamp out of range: \"%g\"",
                            PG_GETARG_FLOAT8(0))));
    }
 
    PG_RETURN_TIMESTAMP(result);
}
 
/* timestamptz_out()
 * Convert a timestamp to external form.
 */
Datum
timestamptz_out(PG_FUNCTION_ARGS)
{
    TimestampTz dt = PG_GETARG_TIMESTAMPTZ(0);
    char       *result;
    int         tz;
    struct pg_tm tt,
               *tm = &tt;
    fsec_t      fsec;
    const char *tzn;
    char        buf[MAXDATELEN + 1];
 
    if (TIMESTAMP_NOT_FINITE(dt))
        EncodeSpecialTimestamp(dt, buf);
    else if (timestamp2tm(dt, &tz, tm, &fsec, &tzn, NULL) == 0)
        EncodeDateTime(tm, fsec, true, tz, tzn, DateStyle, buf);
    else
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                 errmsg("timestamp out of range")));
 
    result = pstrdup(buf);
    PG_RETURN_CSTRING(result);
}
 
/*
 *      timestamptz_recv            - converts external binary format to timestamptz
 */
Datum
timestamptz_recv(PG_FUNCTION_ARGS)
{
    StringInfo  buf = (StringInfo) PG_GETARG_POINTER(0);
 
#ifdef NOT_USED
    Oid         typelem = PG_GETARG_OID(1);
#endif
    int32       typmod = PG_GETARG_INT32(2);
    TimestampTz timestamp;
    int         tz;
    struct pg_tm tt,
               *tm = &tt;
    fsec_t      fsec;
 
    timestamp = (TimestampTz) pq_getmsgint64(buf);
 
    /* range check: see if timestamptz_out would like it */
    if (TIMESTAMP_NOT_FINITE(timestamp))
         /* ok */ ;
    else if (timestamp2tm(timestamp, &tz, tm, &fsec, NULL, NULL) != 0 ||
             !IS_VALID_TIMESTAMP(timestamp))
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                 errmsg("timestamp out of range")));
 
    AdjustTimestampForTypmod(&timestamp, typmod, NULL);
 
    PG_RETURN_TIMESTAMPTZ(timestamp);
}
 
/*
 *      timestamptz_send            - converts timestamptz to binary format
 */
Datum
timestamptz_send(PG_FUNCTION_ARGS)
{
    TimestampTz timestamp = PG_GETARG_TIMESTAMPTZ(0);
    StringInfoData buf;
 
    pq_begintypsend(&buf);
    pq_sendint64(&buf, timestamp);
    PG_RETURN_BYTEA_P(pq_endtypsend(&buf));
}
 
Datum
timestamptztypmodin(PG_FUNCTION_ARGS)
{
    ArrayType  *ta = PG_GETARG_ARRAYTYPE_P(0);
 
    PG_RETURN_INT32(anytimestamp_typmodin(true, ta));
}
 
Datum
timestamptztypmodout(PG_FUNCTION_ARGS)
{
    int32       typmod = PG_GETARG_INT32(0);
 
    PG_RETURN_CSTRING(anytimestamp_typmodout(true, typmod));
}
 
 
/* timestamptz_scale()
 * Adjust time type for specified scale factor.
 * Used by PostgreSQL type system to stuff columns.
 */
Datum
timestamptz_scale(PG_FUNCTION_ARGS)
{
    TimestampTz timestamp = PG_GETARG_TIMESTAMPTZ(0);
    int32       typmod = PG_GETARG_INT32(1);
    TimestampTz result;
 
    result = timestamp;
 
    AdjustTimestampForTypmod(&result, typmod, NULL);
 
    PG_RETURN_TIMESTAMPTZ(result);
}
 
 
/* interval_in()
 * Convert a string to internal form.
 *
 * External format(s):
 *  Uses the generic date/time parsing and decoding routines.
 */
Datum
interval_in(PG_FUNCTION_ARGS)
{
    char       *str = PG_GETARG_CSTRING(0);
#ifdef NOT_USED
    Oid         typelem = PG_GETARG_OID(1);
#endif
    int32       typmod = PG_GETARG_INT32(2);
    Node       *escontext = fcinfo->context;
    Interval   *result;
    struct pg_itm_in tt,
               *itm_in = &tt;
    int         dtype;
    int         nf;
    int         range;
    int         dterr;
    char       *field[MAXDATEFIELDS];
    int         ftype[MAXDATEFIELDS];
    char        workbuf[256];
    DateTimeErrorExtra extra;
 
    itm_in->tm_year = 0;
    itm_in->tm_mon = 0;
    itm_in->tm_mday = 0;
    itm_in->tm_usec = 0;
 
    if (typmod >= 0)
        range = INTERVAL_RANGE(typmod);
    else
        range = INTERVAL_FULL_RANGE;
 
    dterr = ParseDateTime(str, workbuf, sizeof(workbuf), field,
                          ftype, MAXDATEFIELDS, &nf);
    if (dterr == 0)
        dterr = DecodeInterval(field, ftype, nf, range,
                               &dtype, itm_in);
 
    /* if those functions think it's a bad format, try ISO8601 style */
    if (dterr == DTERR_BAD_FORMAT)
        dterr = DecodeISO8601Interval(str,
                                      &dtype, itm_in);
 
    if (dterr != 0)
    {
        if (dterr == DTERR_FIELD_OVERFLOW)
            dterr = DTERR_INTERVAL_OVERFLOW;
        DateTimeParseError(dterr, &extra, str, "interval", escontext);
        PG_RETURN_NULL();
    }
 
    result = (Interval *) palloc(sizeof(Interval));
 
    switch (dtype)
    {
        case DTK_DELTA:
            if (itmin2interval(itm_in, result) != 0)
                ereturn(escontext, (Datum) 0,
                        (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                         errmsg("interval out of range")));
            break;
 
        case DTK_LATE:
            INTERVAL_NOEND(result);
            break;
 
        case DTK_EARLY:
            INTERVAL_NOBEGIN(result);
            break;
 
        default:
            elog(ERROR, "unexpected dtype %d while parsing interval \"%s\"",
                 dtype, str);
    }
 
    AdjustIntervalForTypmod(result, typmod, escontext);
 
    PG_RETURN_INTERVAL_P(result);
}
 
/* interval_out()
 * Convert a time span to external form.
 */
Datum
interval_out(PG_FUNCTION_ARGS)
{
    Interval   *span = PG_GETARG_INTERVAL_P(0);
    char       *result;
    struct pg_itm tt,
               *itm = &tt;
    char        buf[MAXDATELEN + 1];
 
    if (INTERVAL_NOT_FINITE(span))
        EncodeSpecialInterval(span, buf);
    else
    {
        interval2itm(*span, itm);
        EncodeInterval(itm, IntervalStyle, buf);
    }
 
    result = pstrdup(buf);
    PG_RETURN_CSTRING(result);
}
 
/*
 *      interval_recv           - converts external binary format to interval
 */
Datum
interval_recv(PG_FUNCTION_ARGS)
{
    StringInfo  buf = (StringInfo) PG_GETARG_POINTER(0);
 
#ifdef NOT_USED
    Oid         typelem = PG_GETARG_OID(1);
#endif
    int32       typmod = PG_GETARG_INT32(2);
    Interval   *interval;
 
    interval = (Interval *) palloc(sizeof(Interval));
 
    interval->time = pq_getmsgint64(buf);
    interval->day = pq_getmsgint(buf, sizeof(interval->day));
    interval->month = pq_getmsgint(buf, sizeof(interval->month));
 
    AdjustIntervalForTypmod(interval, typmod, NULL);
 
    PG_RETURN_INTERVAL_P(interval);
}
 
/*
 *      interval_send           - converts interval to binary format
 */
Datum
interval_send(PG_FUNCTION_ARGS)
{
    Interval   *interval = PG_GETARG_INTERVAL_P(0);
    StringInfoData buf;
 
    pq_begintypsend(&buf);
    pq_sendint64(&buf, interval->time);
    pq_sendint32(&buf, interval->day);
    pq_sendint32(&buf, interval->month);
    PG_RETURN_BYTEA_P(pq_endtypsend(&buf));
}
 
/*
 * The interval typmod stores a "range" in its high 16 bits and a "precision"
 * in its low 16 bits.  Both contribute to defining the resolution of the
 * type.  Range addresses resolution granules larger than one second, and
 * precision specifies resolution below one second.  This representation can
 * express all SQL standard resolutions, but we implement them all in terms of
 * truncating rightward from some position.  Range is a bitmap of permitted
 * fields, but only the temporally-smallest such field is significant to our
 * calculations.  Precision is a count of sub-second decimal places to retain.
 * Setting all bits (INTERVAL_FULL_PRECISION) gives the same truncation
 * semantics as choosing MAX_INTERVAL_PRECISION.
 */
Datum
intervaltypmodin(PG_FUNCTION_ARGS)
{
    ArrayType  *ta = PG_GETARG_ARRAYTYPE_P(0);
    int32      *tl;
    int         n;
    int32       typmod;
 
    tl = ArrayGetIntegerTypmods(ta, &n);
 
    /*
     * tl[0] - interval range (fields bitmask)  tl[1] - precision (optional)
     *
     * Note we must validate tl[0] even though it's normally guaranteed
     * correct by the grammar --- consider SELECT 'foo'::"interval"(1000).
     */
    if (n > 0)
    {
        switch (tl[0])
        {
            case INTERVAL_MASK(YEAR):
            case INTERVAL_MASK(MONTH):
            case INTERVAL_MASK(DAY):
            case INTERVAL_MASK(HOUR):
            case INTERVAL_MASK(MINUTE):
            case INTERVAL_MASK(SECOND):
            case INTERVAL_MASK(YEAR) | INTERVAL_MASK(MONTH):
            case INTERVAL_MASK(DAY) | INTERVAL_MASK(HOUR):
            case INTERVAL_MASK(DAY) | INTERVAL_MASK(HOUR) | INTERVAL_MASK(MINUTE):
            case INTERVAL_MASK(DAY) | INTERVAL_MASK(HOUR) | INTERVAL_MASK(MINUTE) | INTERVAL_MASK(SECOND):
            case INTERVAL_MASK(HOUR) | INTERVAL_MASK(MINUTE):
            case INTERVAL_MASK(HOUR) | INTERVAL_MASK(MINUTE) | INTERVAL_MASK(SECOND):
            case INTERVAL_MASK(MINUTE) | INTERVAL_MASK(SECOND):
            case INTERVAL_FULL_RANGE:
                /* all OK */
                break;
            default:
                ereport(ERROR,
                        (errcode(ERRCODE_INVALID_PARAMETER_VALUE),
                         errmsg("invalid INTERVAL type modifier")));
        }
    }
 
    if (n == 1)
    {
        if (tl[0] != INTERVAL_FULL_RANGE)
            typmod = INTERVAL_TYPMOD(INTERVAL_FULL_PRECISION, tl[0]);
        else
            typmod = -1;
    }
    else if (n == 2)
    {
        if (tl[1] < 0)
            ereport(ERROR,
                    (errcode(ERRCODE_INVALID_PARAMETER_VALUE),
                     errmsg("INTERVAL(%d) precision must not be negative",
                            tl[1])));
        if (tl[1] > MAX_INTERVAL_PRECISION)
        {
            ereport(WARNING,
                    (errcode(ERRCODE_INVALID_PARAMETER_VALUE),
                     errmsg("INTERVAL(%d) precision reduced to maximum allowed, %d",
                            tl[1], MAX_INTERVAL_PRECISION)));
            typmod = INTERVAL_TYPMOD(MAX_INTERVAL_PRECISION, tl[0]);
        }
        else
            typmod = INTERVAL_TYPMOD(tl[1], tl[0]);
    }
    else
    {
        ereport(ERROR,
                (errcode(ERRCODE_INVALID_PARAMETER_VALUE),
                 errmsg("invalid INTERVAL type modifier")));
        typmod = 0;             /* keep compiler quiet */
    }
 
    PG_RETURN_INT32(typmod);
}
 
Datum
intervaltypmodout(PG_FUNCTION_ARGS)
{
    int32       typmod = PG_GETARG_INT32(0);
    char       *res = (char *) palloc(64);
    int         fields;
    int         precision;
    const char *fieldstr;
 
    if (typmod < 0)
    {
        *res = '\0';
        PG_RETURN_CSTRING(res);
    }
 
    fields = INTERVAL_RANGE(typmod);
    precision = INTERVAL_PRECISION(typmod);
 
    switch (fields)
    {
        case INTERVAL_MASK(YEAR):
            fieldstr = " year";
            break;
        case INTERVAL_MASK(MONTH):
            fieldstr = " month";
            break;
        case INTERVAL_MASK(DAY):
            fieldstr = " day";
            break;
        case INTERVAL_MASK(HOUR):
            fieldstr = " hour";
            break;
        case INTERVAL_MASK(MINUTE):
            fieldstr = " minute";
            break;
        case INTERVAL_MASK(SECOND):
            fieldstr = " second";
            break;
        case INTERVAL_MASK(YEAR) | INTERVAL_MASK(MONTH):
            fieldstr = " year to month";
            break;
        case INTERVAL_MASK(DAY) | INTERVAL_MASK(HOUR):
            fieldstr = " day to hour";
            break;
        case INTERVAL_MASK(DAY) | INTERVAL_MASK(HOUR) | INTERVAL_MASK(MINUTE):
            fieldstr = " day to minute";
            break;
        case INTERVAL_MASK(DAY) | INTERVAL_MASK(HOUR) | INTERVAL_MASK(MINUTE) | INTERVAL_MASK(SECOND):
            fieldstr = " day to second";
            break;
        case INTERVAL_MASK(HOUR) | INTERVAL_MASK(MINUTE):
            fieldstr = " hour to minute";
            break;
        case INTERVAL_MASK(HOUR) | INTERVAL_MASK(MINUTE) | INTERVAL_MASK(SECOND):
            fieldstr = " hour to second";
            break;
        case INTERVAL_MASK(MINUTE) | INTERVAL_MASK(SECOND):
            fieldstr = " minute to second";
            break;
        case INTERVAL_FULL_RANGE:
            fieldstr = "";
            break;
        default:
            elog(ERROR, "invalid INTERVAL typmod: 0x%x", typmod);
            fieldstr = "";
            break;
    }
 
    if (precision != INTERVAL_FULL_PRECISION)
        snprintf(res, 64, "%s(%d)", fieldstr, precision);
    else
        snprintf(res, 64, "%s", fieldstr);
 
    PG_RETURN_CSTRING(res);
}
 
/*
 * Given an interval typmod value, return a code for the least-significant
 * field that the typmod allows to be nonzero, for instance given
 * INTERVAL DAY TO HOUR we want to identify "hour".
 *
 * The results should be ordered by field significance, which means
 * we can't use the dt.h macros YEAR etc, because for some odd reason
 * they aren't ordered that way.  Instead, arbitrarily represent
 * SECOND = 0, MINUTE = 1, HOUR = 2, DAY = 3, MONTH = 4, YEAR = 5.
 */
static int
intervaltypmodleastfield(int32 typmod)
{
    if (typmod < 0)
        return 0;               /* SECOND */
 
    switch (INTERVAL_RANGE(typmod))
    {
        case INTERVAL_MASK(YEAR):
            return 5;           /* YEAR */
        case INTERVAL_MASK(MONTH):
            return 4;           /* MONTH */
        case INTERVAL_MASK(DAY):
            return 3;           /* DAY */
        case INTERVAL_MASK(HOUR):
            return 2;           /* HOUR */
        case INTERVAL_MASK(MINUTE):
            return 1;           /* MINUTE */
        case INTERVAL_MASK(SECOND):
            return 0;           /* SECOND */
        case INTERVAL_MASK(YEAR) | INTERVAL_MASK(MONTH):
            return 4;           /* MONTH */
        case INTERVAL_MASK(DAY) | INTERVAL_MASK(HOUR):
            return 2;           /* HOUR */
        case INTERVAL_MASK(DAY) | INTERVAL_MASK(HOUR) | INTERVAL_MASK(MINUTE):
            return 1;           /* MINUTE */
        case INTERVAL_MASK(DAY) | INTERVAL_MASK(HOUR) | INTERVAL_MASK(MINUTE) | INTERVAL_MASK(SECOND):
            return 0;           /* SECOND */
        case INTERVAL_MASK(HOUR) | INTERVAL_MASK(MINUTE):
            return 1;           /* MINUTE */
        case INTERVAL_MASK(HOUR) | INTERVAL_MASK(MINUTE) | INTERVAL_MASK(SECOND):
            return 0;           /* SECOND */
        case INTERVAL_MASK(MINUTE) | INTERVAL_MASK(SECOND):
            return 0;           /* SECOND */
        case INTERVAL_FULL_RANGE:
            return 0;           /* SECOND */
        default:
            elog(ERROR, "invalid INTERVAL typmod: 0x%x", typmod);
            break;
    }
    return 0;                   /* can't get here, but keep compiler quiet */
}
 
 
/*
 * interval_support()
 *
 * Planner support function for interval_scale().
 *
 * Flatten superfluous calls to interval_scale().  The interval typmod is
 * complex to permit accepting and regurgitating all SQL standard variations.
 * For truncation purposes, it boils down to a single, simple granularity.
 */
Datum
interval_support(PG_FUNCTION_ARGS)
{
    Node       *rawreq = (Node *) PG_GETARG_POINTER(0);
    Node       *ret = NULL;
 
    if (IsA(rawreq, SupportRequestSimplify))
    {
        SupportRequestSimplify *req = (SupportRequestSimplify *) rawreq;
        FuncExpr   *expr = req->fcall;
        Node       *typmod;
 
        Assert(list_length(expr->args) >= 2);
 
        typmod = (Node *) lsecond(expr->args);
 
        if (IsA(typmod, Const) && !((Const *) typmod)->constisnull)
        {
            Node       *source = (Node *) linitial(expr->args);
            int32       new_typmod = DatumGetInt32(((Const *) typmod)->constvalue);
            bool        noop;
 
            if (new_typmod < 0)
                noop = true;
            else
            {
                int32       old_typmod = exprTypmod(source);
                int         old_least_field;
                int         new_least_field;
                int         old_precis;
                int         new_precis;
 
                old_least_field = intervaltypmodleastfield(old_typmod);
                new_least_field = intervaltypmodleastfield(new_typmod);
                if (old_typmod < 0)
                    old_precis = INTERVAL_FULL_PRECISION;
                else
                    old_precis = INTERVAL_PRECISION(old_typmod);
                new_precis = INTERVAL_PRECISION(new_typmod);
 
                /*
                 * Cast is a no-op if least field stays the same or decreases
                 * while precision stays the same or increases.  But
                 * precision, which is to say, sub-second precision, only
                 * affects ranges that include SECOND.
                 */
                noop = (new_least_field <= old_least_field) &&
                    (old_least_field > 0 /* SECOND */ ||
                     new_precis >= MAX_INTERVAL_PRECISION ||
                     new_precis >= old_precis);
            }
            if (noop)
                ret = relabel_to_typmod(source, new_typmod);
        }
    }
 
    PG_RETURN_POINTER(ret);
}
 
/* interval_scale()
 * Adjust interval type for specified fields.
 * Used by PostgreSQL type system to stuff columns.
 */
Datum
interval_scale(PG_FUNCTION_ARGS)
{
    Interval   *interval = PG_GETARG_INTERVAL_P(0);
    int32       typmod = PG_GETARG_INT32(1);
    Interval   *result;
 
    result = palloc(sizeof(Interval));
    *result = *interval;
 
    AdjustIntervalForTypmod(result, typmod, NULL);
 
    PG_RETURN_INTERVAL_P(result);
}
 
/*
 *  Adjust interval for specified precision, in both YEAR to SECOND
 *  range and sub-second precision.
 *
 * Returns true on success, false on failure (if escontext points to an
 * ErrorSaveContext; otherwise errors are thrown).
 */
static bool
AdjustIntervalForTypmod(Interval *interval, int32 typmod,
                        Node *escontext)
{
    static const int64 IntervalScales[MAX_INTERVAL_PRECISION + 1] = {
        INT64CONST(1000000),
        INT64CONST(100000),
        INT64CONST(10000),
        INT64CONST(1000),
        INT64CONST(100),
        INT64CONST(10),
        INT64CONST(1)
    };
 
    static const int64 IntervalOffsets[MAX_INTERVAL_PRECISION + 1] = {
        INT64CONST(500000),
        INT64CONST(50000),
        INT64CONST(5000),
        INT64CONST(500),
        INT64CONST(50),
        INT64CONST(5),
        INT64CONST(0)
    };
 
    /* Typmod has no effect on infinite intervals */
    if (INTERVAL_NOT_FINITE(interval))
        return true;
 
    /*
     * Unspecified range and precision? Then not necessary to adjust. Setting
     * typmod to -1 is the convention for all data types.
     */
    if (typmod >= 0)
    {
        int         range = INTERVAL_RANGE(typmod);
        int         precision = INTERVAL_PRECISION(typmod);
 
        /*
         * Our interpretation of intervals with a limited set of fields is
         * that fields to the right of the last one specified are zeroed out,
         * but those to the left of it remain valid.  Thus for example there
         * is no operational difference between INTERVAL YEAR TO MONTH and
         * INTERVAL MONTH.  In some cases we could meaningfully enforce that
         * higher-order fields are zero; for example INTERVAL DAY could reject
         * nonzero "month" field.  However that seems a bit pointless when we
         * can't do it consistently.  (We cannot enforce a range limit on the
         * highest expected field, since we do not have any equivalent of
         * SQL's <interval leading field precision>.)  If we ever decide to
         * revisit this, interval_support will likely require adjusting.
         *
         * Note: before PG 8.4 we interpreted a limited set of fields as
         * actually causing a "modulo" operation on a given value, potentially
         * losing high-order as well as low-order information.  But there is
         * no support for such behavior in the standard, and it seems fairly
         * undesirable on data consistency grounds anyway.  Now we only
         * perform truncation or rounding of low-order fields.
         */
        if (range == INTERVAL_FULL_RANGE)
        {
            /* Do nothing... */
        }
        else if (range == INTERVAL_MASK(YEAR))
        {
            interval->month = (interval->month / MONTHS_PER_YEAR) * MONTHS_PER_YEAR;
            interval->day = 0;
            interval->time = 0;
        }
        else if (range == INTERVAL_MASK(MONTH))
        {
            interval->day = 0;
            interval->time = 0;
        }
        /* YEAR TO MONTH */
        else if (range == (INTERVAL_MASK(YEAR) | INTERVAL_MASK(MONTH)))
        {
            interval->day = 0;
            interval->time = 0;
        }
        else if (range == INTERVAL_MASK(DAY))
        {
            interval->time = 0;
        }
        else if (range == INTERVAL_MASK(HOUR))
        {
            interval->time = (interval->time / USECS_PER_HOUR) *
                USECS_PER_HOUR;
        }
        else if (range == INTERVAL_MASK(MINUTE))
        {
            interval->time = (interval->time / USECS_PER_MINUTE) *
                USECS_PER_MINUTE;
        }
        else if (range == INTERVAL_MASK(SECOND))
        {
            /* fractional-second rounding will be dealt with below */
        }
        /* DAY TO HOUR */
        else if (range == (INTERVAL_MASK(DAY) |
                           INTERVAL_MASK(HOUR)))
        {
            interval->time = (interval->time / USECS_PER_HOUR) *
                USECS_PER_HOUR;
        }
        /* DAY TO MINUTE */
        else if (range == (INTERVAL_MASK(DAY) |
                           INTERVAL_MASK(HOUR) |
                           INTERVAL_MASK(MINUTE)))
        {
            interval->time = (interval->time / USECS_PER_MINUTE) *
                USECS_PER_MINUTE;
        }
        /* DAY TO SECOND */
        else if (range == (INTERVAL_MASK(DAY) |
                           INTERVAL_MASK(HOUR) |
                           INTERVAL_MASK(MINUTE) |
                           INTERVAL_MASK(SECOND)))
        {
            /* fractional-second rounding will be dealt with below */
        }
        /* HOUR TO MINUTE */
        else if (range == (INTERVAL_MASK(HOUR) |
                           INTERVAL_MASK(MINUTE)))
        {
            interval->time = (interval->time / USECS_PER_MINUTE) *
                USECS_PER_MINUTE;
        }
        /* HOUR TO SECOND */
        else if (range == (INTERVAL_MASK(HOUR) |
                           INTERVAL_MASK(MINUTE) |
                           INTERVAL_MASK(SECOND)))
        {
            /* fractional-second rounding will be dealt with below */
        }
        /* MINUTE TO SECOND */
        else if (range == (INTERVAL_MASK(MINUTE) |
                           INTERVAL_MASK(SECOND)))
        {
            /* fractional-second rounding will be dealt with below */
        }
        else
            elog(ERROR, "unrecognized interval typmod: %d", typmod);
 
        /* Need to adjust sub-second precision? */
        if (precision != INTERVAL_FULL_PRECISION)
        {
            if (precision < 0 || precision > MAX_INTERVAL_PRECISION)
                ereturn(escontext, false,
                        (errcode(ERRCODE_INVALID_PARAMETER_VALUE),
                         errmsg("interval(%d) precision must be between %d and %d",
                                precision, 0, MAX_INTERVAL_PRECISION)));
 
            if (interval->time >= INT64CONST(0))
            {
                if (pg_add_s64_overflow(interval->time,
                                        IntervalOffsets[precision],
                                        &interval->time))
                    ereturn(escontext, false,
                            (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                             errmsg("interval out of range")));
                interval->time -= interval->time % IntervalScales[precision];
            }
            else
            {
                if (pg_sub_s64_overflow(interval->time,
                                        IntervalOffsets[precision],
                                        &interval->time))
                    ereturn(escontext, false,
                            (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                             errmsg("interval out of range")));
                interval->time -= interval->time % IntervalScales[precision];
            }
        }
    }
 
    return true;
}
 
/*
 * make_interval - numeric Interval constructor
 */
Datum
make_interval(PG_FUNCTION_ARGS)
{
    int32       years = PG_GETARG_INT32(0);
    int32       months = PG_GETARG_INT32(1);
    int32       weeks = PG_GETARG_INT32(2);
    int32       days = PG_GETARG_INT32(3);
    int32       hours = PG_GETARG_INT32(4);
    int32       mins = PG_GETARG_INT32(5);
    double      secs = PG_GETARG_FLOAT8(6);
    Interval   *result;
 
    /*
     * Reject out-of-range inputs.  We reject any input values that cause
     * integer overflow of the corresponding interval fields.
     */
    if (isinf(secs) || isnan(secs))
        goto out_of_range;
 
    result = (Interval *) palloc(sizeof(Interval));
 
    /* years and months -> months */
    if (pg_mul_s32_overflow(years, MONTHS_PER_YEAR, &result->month) ||
        pg_add_s32_overflow(result->month, months, &result->month))
        goto out_of_range;
 
    /* weeks and days -> days */
    if (pg_mul_s32_overflow(weeks, DAYS_PER_WEEK, &result->day) ||
        pg_add_s32_overflow(result->day, days, &result->day))
        goto out_of_range;
 
    /* hours and mins -> usecs (cannot overflow 64-bit) */
    result->time = hours * USECS_PER_HOUR + mins * USECS_PER_MINUTE;
 
    /* secs -> usecs */
    secs = rint(float8_mul(secs, USECS_PER_SEC));
    if (!FLOAT8_FITS_IN_INT64(secs) ||
        pg_add_s64_overflow(result->time, (int64) secs, &result->time))
        goto out_of_range;
 
    /* make sure that the result is finite */
    if (INTERVAL_NOT_FINITE(result))
        goto out_of_range;
 
    PG_RETURN_INTERVAL_P(result);
 
out_of_range:
    ereport(ERROR,
            errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
            errmsg("interval out of range"));
 
    PG_RETURN_NULL();           /* keep compiler quiet */
}
 
/* EncodeSpecialTimestamp()
 * Convert reserved timestamp data type to string.
 */
void
EncodeSpecialTimestamp(Timestamp dt, char *str)
{
    if (TIMESTAMP_IS_NOBEGIN(dt))
        strcpy(str, EARLY);
    else if (TIMESTAMP_IS_NOEND(dt))
        strcpy(str, LATE);
    else                        /* shouldn't happen */
        elog(ERROR, "invalid argument for EncodeSpecialTimestamp");
}
 
static void
EncodeSpecialInterval(const Interval *interval, char *str)
{
    if (INTERVAL_IS_NOBEGIN(interval))
        strcpy(str, EARLY);
    else if (INTERVAL_IS_NOEND(interval))
        strcpy(str, LATE);
    else                        /* shouldn't happen */
        elog(ERROR, "invalid argument for EncodeSpecialInterval");
}
 
Datum
now(PG_FUNCTION_ARGS)
{
    PG_RETURN_TIMESTAMPTZ(GetCurrentTransactionStartTimestamp());
}
 
Datum
statement_timestamp(PG_FUNCTION_ARGS)
{
    PG_RETURN_TIMESTAMPTZ(GetCurrentStatementStartTimestamp());
}
 
Datum
clock_timestamp(PG_FUNCTION_ARGS)
{
    PG_RETURN_TIMESTAMPTZ(GetCurrentTimestamp());
}
 
Datum
pg_postmaster_start_time(PG_FUNCTION_ARGS)
{
    PG_RETURN_TIMESTAMPTZ(PgStartTime);
}
 
Datum
pg_conf_load_time(PG_FUNCTION_ARGS)
{
    PG_RETURN_TIMESTAMPTZ(PgReloadTime);
}
 
/*
 * GetCurrentTimestamp -- get the current operating system time
 *
 * Result is in the form of a TimestampTz value, and is expressed to the
 * full precision of the gettimeofday() syscall
 */
TimestampTz
GetCurrentTimestamp(void)
{
    TimestampTz result;
    struct timeval tp;
 
    gettimeofday(&tp, NULL);
 
    result = (TimestampTz) tp.tv_sec -
        ((POSTGRES_EPOCH_JDATE - UNIX_EPOCH_JDATE) * SECS_PER_DAY);
    result = (result * USECS_PER_SEC) + tp.tv_usec;
 
    return result;
}
 
/*
 * GetSQLCurrentTimestamp -- implements CURRENT_TIMESTAMP, CURRENT_TIMESTAMP(n)
 */
TimestampTz
GetSQLCurrentTimestamp(int32 typmod)
{
    TimestampTz ts;
 
    ts = GetCurrentTransactionStartTimestamp();
    if (typmod >= 0)
        AdjustTimestampForTypmod(&ts, typmod, NULL);
    return ts;
}
 
/*
 * GetSQLLocalTimestamp -- implements LOCALTIMESTAMP, LOCALTIMESTAMP(n)
 */
Timestamp
GetSQLLocalTimestamp(int32 typmod)
{
    Timestamp   ts;
 
    ts = timestamptz2timestamp(GetCurrentTransactionStartTimestamp());
    if (typmod >= 0)
        AdjustTimestampForTypmod(&ts, typmod, NULL);
    return ts;
}
 
/*
 * timeofday(*) -- returns the current time as a text.
 */
Datum
timeofday(PG_FUNCTION_ARGS)
{
    struct timeval tp;
    char        templ[128];
    char        buf[128];
    pg_time_t   tt;
 
    gettimeofday(&tp, NULL);
    tt = (pg_time_t) tp.tv_sec;
    pg_strftime(templ, sizeof(templ), "%a %b %d %H:%M:%S.%%06d %Y %Z",
                pg_localtime(&tt, session_timezone));
    snprintf(buf, sizeof(buf), templ, tp.tv_usec);
 
    PG_RETURN_TEXT_P(cstring_to_text(buf));
}
 
/*
 * TimestampDifference -- convert the difference between two timestamps
 *      into integer seconds and microseconds
 *
 * This is typically used to calculate a wait timeout for select(2),
 * which explains the otherwise-odd choice of output format.
 *
 * Both inputs must be ordinary finite timestamps (in current usage,
 * they'll be results from GetCurrentTimestamp()).
 *
 * We expect start_time <= stop_time.  If not, we return zeros,
 * since then we're already past the previously determined stop_time.
 */
void
TimestampDifference(TimestampTz start_time, TimestampTz stop_time,
                    long *secs, int *microsecs)
{
    TimestampTz diff = stop_time - start_time;
 
    if (diff <= 0)
    {
        *secs = 0;
        *microsecs = 0;
    }
    else
    {
        *secs = (long) (diff / USECS_PER_SEC);
        *microsecs = (int) (diff % USECS_PER_SEC);
    }
}
 
/*
 * TimestampDifferenceMilliseconds -- convert the difference between two
 *      timestamps into integer milliseconds
 *
 * This is typically used to calculate a wait timeout for WaitLatch()
 * or a related function.  The choice of "long" as the result type
 * is to harmonize with that; furthermore, we clamp the result to at most
 * INT_MAX milliseconds, because that's all that WaitLatch() allows.
 *
 * We expect start_time <= stop_time.  If not, we return zero,
 * since then we're already past the previously determined stop_time.
 *
 * Subtracting finite and infinite timestamps works correctly, returning
 * zero or INT_MAX as appropriate.
 *
 * Note we round up any fractional millisecond, since waiting for just
 * less than the intended timeout is undesirable.
 */
long
TimestampDifferenceMilliseconds(TimestampTz start_time, TimestampTz stop_time)
{
    TimestampTz diff;
 
    /* Deal with zero or negative elapsed time quickly. */
    if (start_time >= stop_time)
        return 0;
    /* To not fail with timestamp infinities, we must detect overflow. */
    if (pg_sub_s64_overflow(stop_time, start_time, &diff))
        return (long) INT_MAX;
    if (diff >= (INT_MAX * INT64CONST(1000) - 999))
        return (long) INT_MAX;
    else
        return (long) ((diff + 999) / 1000);
}
 
/*
 * TimestampDifferenceExceeds -- report whether the difference between two
 *      timestamps is >= a threshold (expressed in milliseconds)
 *
 * Both inputs must be ordinary finite timestamps (in current usage,
 * they'll be results from GetCurrentTimestamp()).
 */
bool
TimestampDifferenceExceeds(TimestampTz start_time,
                           TimestampTz stop_time,
                           int msec)
{
    TimestampTz diff = stop_time - start_time;
 
    return (diff >= msec * INT64CONST(1000));
}
 
/*
 * Convert a time_t to TimestampTz.
 *
 * We do not use time_t internally in Postgres, but this is provided for use
 * by functions that need to interpret, say, a stat(2) result.
 *
 * To avoid having the function's ABI vary depending on the width of time_t,
 * we declare the argument as pg_time_t, which is cast-compatible with
 * time_t but always 64 bits wide (unless the platform has no 64-bit type).
 * This detail should be invisible to callers, at least at source code level.
 */
TimestampTz
time_t_to_timestamptz(pg_time_t tm)
{
    TimestampTz result;
 
    result = (TimestampTz) tm -
        ((POSTGRES_EPOCH_JDATE - UNIX_EPOCH_JDATE) * SECS_PER_DAY);
    result *= USECS_PER_SEC;
 
    return result;
}
 
/*
 * Convert a TimestampTz to time_t.
 *
 * This too is just marginally useful, but some places need it.
 *
 * To avoid having the function's ABI vary depending on the width of time_t,
 * we declare the result as pg_time_t, which is cast-compatible with
 * time_t but always 64 bits wide (unless the platform has no 64-bit type).
 * This detail should be invisible to callers, at least at source code level.
 */
pg_time_t
timestamptz_to_time_t(TimestampTz t)
{
    pg_time_t   result;
 
    result = (pg_time_t) (t / USECS_PER_SEC +
                          ((POSTGRES_EPOCH_JDATE - UNIX_EPOCH_JDATE) * SECS_PER_DAY));
 
    return result;
}
 
/*
 * Produce a C-string representation of a TimestampTz.
 *
 * This is mostly for use in emitting messages.  The primary difference
 * from timestamptz_out is that we force the output format to ISO.  Note
 * also that the result is in a static buffer, not pstrdup'd.
 *
 * See also pg_strftime.
 */
const char *
timestamptz_to_str(TimestampTz t)
{
    static char buf[MAXDATELEN + 1];
    int         tz;
    struct pg_tm tt,
               *tm = &tt;
    fsec_t      fsec;
    const char *tzn;
 
    if (TIMESTAMP_NOT_FINITE(t))
        EncodeSpecialTimestamp(t, buf);
    else if (timestamp2tm(t, &tz, tm, &fsec, &tzn, NULL) == 0)
        EncodeDateTime(tm, fsec, true, tz, tzn, USE_ISO_DATES, buf);
    else
        strlcpy(buf, "(timestamp out of range)", sizeof(buf));
 
    return buf;
}
 
 
void
dt2time(Timestamp jd, int *hour, int *min, int *sec, fsec_t *fsec)
{
    TimeOffset  time;
 
    time = jd;
 
    *hour = time / USECS_PER_HOUR;
    time -= (*hour) * USECS_PER_HOUR;
    *min = time / USECS_PER_MINUTE;
    time -= (*min) * USECS_PER_MINUTE;
    *sec = time / USECS_PER_SEC;
    *fsec = time - (*sec * USECS_PER_SEC);
}                               /* dt2time() */
 
 
/*
 * timestamp2tm() - Convert timestamp data type to POSIX time structure.
 *
 * Note that year is _not_ 1900-based, but is an explicit full value.
 * Also, month is one-based, _not_ zero-based.
 * Returns:
 *   0 on success
 *  -1 on out of range
 *
 * If attimezone is NULL, the global timezone setting will be used.
 */
int
timestamp2tm(Timestamp dt, int *tzp, struct pg_tm *tm, fsec_t *fsec, const char **tzn, pg_tz *attimezone)
{
    Timestamp   date;
    Timestamp   time;
    pg_time_t   utime;
 
    /* Use session timezone if caller asks for default */
    if (attimezone == NULL)
        attimezone = session_timezone;
 
    time = dt;
    TMODULO(time, date, USECS_PER_DAY);
 
    if (time < INT64CONST(0))
    {
        time += USECS_PER_DAY;
        date -= 1;
    }
 
    /* add offset to go from J2000 back to standard Julian date */
    date += POSTGRES_EPOCH_JDATE;
 
    /* Julian day routine does not work for negative Julian days */
    if (date < 0 || date > (Timestamp) INT_MAX)
        return -1;
 
    j2date((int) date, &tm->tm_year, &tm->tm_mon, &tm->tm_mday);
    dt2time(time, &tm->tm_hour, &tm->tm_min, &tm->tm_sec, fsec);
 
    /* Done if no TZ conversion wanted */
    if (tzp == NULL)
    {
        tm->tm_isdst = -1;
        tm->tm_gmtoff = 0;
        tm->tm_zone = NULL;
        if (tzn != NULL)
            *tzn = NULL;
        return 0;
    }
 
    /*
     * If the time falls within the range of pg_time_t, use pg_localtime() to
     * rotate to the local time zone.
     *
     * First, convert to an integral timestamp, avoiding possibly
     * platform-specific roundoff-in-wrong-direction errors, and adjust to
     * Unix epoch.  Then see if we can convert to pg_time_t without loss. This
     * coding avoids hardwiring any assumptions about the width of pg_time_t,
     * so it should behave sanely on machines without int64.
     */
    dt = (dt - *fsec) / USECS_PER_SEC +
        (POSTGRES_EPOCH_JDATE - UNIX_EPOCH_JDATE) * SECS_PER_DAY;
    utime = (pg_time_t) dt;
    if ((Timestamp) utime == dt)
    {
        struct pg_tm *tx = pg_localtime(&utime, attimezone);
 
        tm->tm_year = tx->tm_year + 1900;
        tm->tm_mon = tx->tm_mon + 1;
        tm->tm_mday = tx->tm_mday;
        tm->tm_hour = tx->tm_hour;
        tm->tm_min = tx->tm_min;
        tm->tm_sec = tx->tm_sec;
        tm->tm_isdst = tx->tm_isdst;
        tm->tm_gmtoff = tx->tm_gmtoff;
        tm->tm_zone = tx->tm_zone;
        *tzp = -tm->tm_gmtoff;
        if (tzn != NULL)
            *tzn = tm->tm_zone;
    }
    else
    {
        /*
         * When out of range of pg_time_t, treat as GMT
         */
        *tzp = 0;
        /* Mark this as *no* time zone available */
        tm->tm_isdst = -1;
        tm->tm_gmtoff = 0;
        tm->tm_zone = NULL;
        if (tzn != NULL)
            *tzn = NULL;
    }
 
    return 0;
}
 
 
/* tm2timestamp()
 * Convert a tm structure to a timestamp data type.
 * Note that year is _not_ 1900-based, but is an explicit full value.
 * Also, month is one-based, _not_ zero-based.
 *
 * Returns -1 on failure (value out of range).
 */
int
tm2timestamp(struct pg_tm *tm, fsec_t fsec, int *tzp, Timestamp *result)
{
    TimeOffset  date;
    TimeOffset  time;
 
    /* Prevent overflow in Julian-day routines */
    if (!IS_VALID_JULIAN(tm->tm_year, tm->tm_mon, tm->tm_mday))
    {
        *result = 0;            /* keep compiler quiet */
        return -1;
    }
 
    date = date2j(tm->tm_year, tm->tm_mon, tm->tm_mday) - POSTGRES_EPOCH_JDATE;
    time = time2t(tm->tm_hour, tm->tm_min, tm->tm_sec, fsec);
 
    if (unlikely(pg_mul_s64_overflow(date, USECS_PER_DAY, result) ||
                 pg_add_s64_overflow(*result, time, result)))
    {
        *result = 0;            /* keep compiler quiet */
        return -1;
    }
    if (tzp != NULL)
        *result = dt2local(*result, -(*tzp));
 
    /* final range check catches just-out-of-range timestamps */
    if (!IS_VALID_TIMESTAMP(*result))
    {
        *result = 0;            /* keep compiler quiet */
        return -1;
    }
 
    return 0;
}
 
 
/* interval2itm()
 * Convert an Interval to a pg_itm structure.
 * Note: overflow is not possible, because the pg_itm fields are
 * wide enough for all possible conversion results.
 */
void
interval2itm(Interval span, struct pg_itm *itm)
{
    TimeOffset  time;
    TimeOffset  tfrac;
 
    itm->tm_year = span.month / MONTHS_PER_YEAR;
    itm->tm_mon = span.month % MONTHS_PER_YEAR;
    itm->tm_mday = span.day;
    time = span.time;
 
    tfrac = time / USECS_PER_HOUR;
    time -= tfrac * USECS_PER_HOUR;
    itm->tm_hour = tfrac;
    tfrac = time / USECS_PER_MINUTE;
    time -= tfrac * USECS_PER_MINUTE;
    itm->tm_min = (int) tfrac;
    tfrac = time / USECS_PER_SEC;
    time -= tfrac * USECS_PER_SEC;
    itm->tm_sec = (int) tfrac;
    itm->tm_usec = (int) time;
}
 
/* itm2interval()
 * Convert a pg_itm structure to an Interval.
 * Returns 0 if OK, -1 on overflow.
 *
 * This is for use in computations expected to produce finite results.  Any
 * inputs that lead to infinite results are treated as overflows.
 */
int
itm2interval(struct pg_itm *itm, Interval *span)
{
    int64       total_months = (int64) itm->tm_year * MONTHS_PER_YEAR + itm->tm_mon;
 
    if (total_months > INT_MAX || total_months < INT_MIN)
        return -1;
    span->month = (int32) total_months;
    span->day = itm->tm_mday;
    if (pg_mul_s64_overflow(itm->tm_hour, USECS_PER_HOUR,
                            &span->time))
        return -1;
    /* tm_min, tm_sec are 32 bits, so intermediate products can't overflow */
    if (pg_add_s64_overflow(span->time, itm->tm_min * USECS_PER_MINUTE,
                            &span->time))
        return -1;
    if (pg_add_s64_overflow(span->time, itm->tm_sec * USECS_PER_SEC,
                            &span->time))
        return -1;
    if (pg_add_s64_overflow(span->time, itm->tm_usec,
                            &span->time))
        return -1;
    if (INTERVAL_NOT_FINITE(span))
        return -1;
    return 0;
}
 
/* itmin2interval()
 * Convert a pg_itm_in structure to an Interval.
 * Returns 0 if OK, -1 on overflow.
 *
 * Note: if the result is infinite, it is not treated as an overflow.  This
 * avoids any dump/reload hazards from pre-17 databases that do not support
 * infinite intervals, but do allow finite intervals with all fields set to
 * INT_MIN/INT_MAX (outside the documented range).  Such intervals will be
 * silently converted to +/-infinity.  This may not be ideal, but seems
 * preferable to failure, and ought to be pretty unlikely in practice.
 */
int
itmin2interval(struct pg_itm_in *itm_in, Interval *span)
{
    int64       total_months = (int64) itm_in->tm_year * MONTHS_PER_YEAR + itm_in->tm_mon;
 
    if (total_months > INT_MAX || total_months < INT_MIN)
        return -1;
    span->month = (int32) total_months;
    span->day = itm_in->tm_mday;
    span->time = itm_in->tm_usec;
    return 0;
}
 
static TimeOffset
time2t(const int hour, const int min, const int sec, const fsec_t fsec)
{
    return (((((hour * MINS_PER_HOUR) + min) * SECS_PER_MINUTE) + sec) * USECS_PER_SEC) + fsec;
}
 
static Timestamp
dt2local(Timestamp dt, int timezone)
{
    dt -= (timezone * USECS_PER_SEC);
    return dt;
}
 
 
/*****************************************************************************
 *   PUBLIC ROUTINES                                                         *
 *****************************************************************************/
 
 
Datum
timestamp_finite(PG_FUNCTION_ARGS)
{
    Timestamp   timestamp = PG_GETARG_TIMESTAMP(0);
 
    PG_RETURN_BOOL(!TIMESTAMP_NOT_FINITE(timestamp));
}
 
Datum
interval_finite(PG_FUNCTION_ARGS)
{
    Interval   *interval = PG_GETARG_INTERVAL_P(0);
 
    PG_RETURN_BOOL(!INTERVAL_NOT_FINITE(interval));
}
 
 
/*----------------------------------------------------------
 *  Relational operators for timestamp.
 *---------------------------------------------------------*/
 
void
GetEpochTime(struct pg_tm *tm)
{
    struct pg_tm *t0;
    pg_time_t   epoch = 0;
 
    t0 = pg_gmtime(&epoch);
 
    if (t0 == NULL)
        elog(ERROR, "could not convert epoch to timestamp: %m");
 
    tm->tm_year = t0->tm_year;
    tm->tm_mon = t0->tm_mon;
    tm->tm_mday = t0->tm_mday;
    tm->tm_hour = t0->tm_hour;
    tm->tm_min = t0->tm_min;
    tm->tm_sec = t0->tm_sec;
 
    tm->tm_year += 1900;
    tm->tm_mon++;
}
 
Timestamp
SetEpochTimestamp(void)
{
    Timestamp   dt;
    struct pg_tm tt,
               *tm = &tt;
 
    GetEpochTime(tm);
    /* we don't bother to test for failure ... */
    tm2timestamp(tm, 0, NULL, &dt);
 
    return dt;
}                               /* SetEpochTimestamp() */
 
/*
 * We are currently sharing some code between timestamp and timestamptz.
 * The comparison functions are among them. - thomas 2001-09-25
 *
 *      timestamp_relop - is timestamp1 relop timestamp2
 */
int
timestamp_cmp_internal(Timestamp dt1, Timestamp dt2)
{
    return (dt1 < dt2) ? -1 : ((dt1 > dt2) ? 1 : 0);
}
 
Datum
timestamp_eq(PG_FUNCTION_ARGS)
{
    Timestamp   dt1 = PG_GETARG_TIMESTAMP(0);
    Timestamp   dt2 = PG_GETARG_TIMESTAMP(1);
 
    PG_RETURN_BOOL(timestamp_cmp_internal(dt1, dt2) == 0);
}
 
Datum
timestamp_ne(PG_FUNCTION_ARGS)
{
    Timestamp   dt1 = PG_GETARG_TIMESTAMP(0);
    Timestamp   dt2 = PG_GETARG_TIMESTAMP(1);
 
    PG_RETURN_BOOL(timestamp_cmp_internal(dt1, dt2) != 0);
}
 
Datum
timestamp_lt(PG_FUNCTION_ARGS)
{
    Timestamp   dt1 = PG_GETARG_TIMESTAMP(0);
    Timestamp   dt2 = PG_GETARG_TIMESTAMP(1);
 
    PG_RETURN_BOOL(timestamp_cmp_internal(dt1, dt2) < 0);
}
 
Datum
timestamp_gt(PG_FUNCTION_ARGS)
{
    Timestamp   dt1 = PG_GETARG_TIMESTAMP(0);
    Timestamp   dt2 = PG_GETARG_TIMESTAMP(1);
 
    PG_RETURN_BOOL(timestamp_cmp_internal(dt1, dt2) > 0);
}
 
Datum
timestamp_le(PG_FUNCTION_ARGS)
{
    Timestamp   dt1 = PG_GETARG_TIMESTAMP(0);
    Timestamp   dt2 = PG_GETARG_TIMESTAMP(1);
 
    PG_RETURN_BOOL(timestamp_cmp_internal(dt1, dt2) <= 0);
}
 
Datum
timestamp_ge(PG_FUNCTION_ARGS)
{
    Timestamp   dt1 = PG_GETARG_TIMESTAMP(0);
    Timestamp   dt2 = PG_GETARG_TIMESTAMP(1);
 
    PG_RETURN_BOOL(timestamp_cmp_internal(dt1, dt2) >= 0);
}
 
Datum
timestamp_cmp(PG_FUNCTION_ARGS)
{
    Timestamp   dt1 = PG_GETARG_TIMESTAMP(0);
    Timestamp   dt2 = PG_GETARG_TIMESTAMP(1);
 
    PG_RETURN_INT32(timestamp_cmp_internal(dt1, dt2));
}
 
#if SIZEOF_DATUM < 8
/* note: this is used for timestamptz also */
static int
timestamp_fastcmp(Datum x, Datum y, SortSupport ssup)
{
    Timestamp   a = DatumGetTimestamp(x);
    Timestamp   b = DatumGetTimestamp(y);
 
    return timestamp_cmp_internal(a, b);
}
#endif
 
Datum
timestamp_sortsupport(PG_FUNCTION_ARGS)
{
    SortSupport ssup = (SortSupport) PG_GETARG_POINTER(0);
 
#if SIZEOF_DATUM >= 8
 
    /*
     * If this build has pass-by-value timestamps, then we can use a standard
     * comparator function.
     */
    ssup->comparator = ssup_datum_signed_cmp;
#else
    ssup->comparator = timestamp_fastcmp;
#endif
    PG_RETURN_VOID();
}
 
Datum
timestamp_hash(PG_FUNCTION_ARGS)
{
    return hashint8(fcinfo);
}
 
Datum
timestamp_hash_extended(PG_FUNCTION_ARGS)
{
    return hashint8extended(fcinfo);
}
 
Datum
timestamptz_hash(PG_FUNCTION_ARGS)
{
    return hashint8(fcinfo);
}
 
Datum
timestamptz_hash_extended(PG_FUNCTION_ARGS)
{
    return hashint8extended(fcinfo);
}
 
/*
 * Cross-type comparison functions for timestamp vs timestamptz
 */
 
int32
timestamp_cmp_timestamptz_internal(Timestamp timestampVal, TimestampTz dt2)
{
    TimestampTz dt1;
    int         overflow;
 
    dt1 = timestamp2timestamptz_opt_overflow(timestampVal, &overflow);
    if (overflow > 0)
    {
        /* dt1 is larger than any finite timestamp, but less than infinity */
        return TIMESTAMP_IS_NOEND(dt2) ? -1 : +1;
    }
    if (overflow < 0)
    {
        /* dt1 is less than any finite timestamp, but more than -infinity */
        return TIMESTAMP_IS_NOBEGIN(dt2) ? +1 : -1;
    }
 
    return timestamptz_cmp_internal(dt1, dt2);
}
 
Datum
timestamp_eq_timestamptz(PG_FUNCTION_ARGS)
{
    Timestamp   timestampVal = PG_GETARG_TIMESTAMP(0);
    TimestampTz dt2 = PG_GETARG_TIMESTAMPTZ(1);
 
    PG_RETURN_BOOL(timestamp_cmp_timestamptz_internal(timestampVal, dt2) == 0);
}
 
Datum
timestamp_ne_timestamptz(PG_FUNCTION_ARGS)
{
    Timestamp   timestampVal = PG_GETARG_TIMESTAMP(0);
    TimestampTz dt2 = PG_GETARG_TIMESTAMPTZ(1);
 
    PG_RETURN_BOOL(timestamp_cmp_timestamptz_internal(timestampVal, dt2) != 0);
}
 
Datum
timestamp_lt_timestamptz(PG_FUNCTION_ARGS)
{
    Timestamp   timestampVal = PG_GETARG_TIMESTAMP(0);
    TimestampTz dt2 = PG_GETARG_TIMESTAMPTZ(1);
 
    PG_RETURN_BOOL(timestamp_cmp_timestamptz_internal(timestampVal, dt2) < 0);
}
 
Datum
timestamp_gt_timestamptz(PG_FUNCTION_ARGS)
{
    Timestamp   timestampVal = PG_GETARG_TIMESTAMP(0);
    TimestampTz dt2 = PG_GETARG_TIMESTAMPTZ(1);
 
    PG_RETURN_BOOL(timestamp_cmp_timestamptz_internal(timestampVal, dt2) > 0);
}
 
Datum
timestamp_le_timestamptz(PG_FUNCTION_ARGS)
{
    Timestamp   timestampVal = PG_GETARG_TIMESTAMP(0);
    TimestampTz dt2 = PG_GETARG_TIMESTAMPTZ(1);
 
    PG_RETURN_BOOL(timestamp_cmp_timestamptz_internal(timestampVal, dt2) <= 0);
}
 
Datum
timestamp_ge_timestamptz(PG_FUNCTION_ARGS)
{
    Timestamp   timestampVal = PG_GETARG_TIMESTAMP(0);
    TimestampTz dt2 = PG_GETARG_TIMESTAMPTZ(1);
 
    PG_RETURN_BOOL(timestamp_cmp_timestamptz_internal(timestampVal, dt2) >= 0);
}
 
Datum
timestamp_cmp_timestamptz(PG_FUNCTION_ARGS)
{
    Timestamp   timestampVal = PG_GETARG_TIMESTAMP(0);
    TimestampTz dt2 = PG_GETARG_TIMESTAMPTZ(1);
 
    PG_RETURN_INT32(timestamp_cmp_timestamptz_internal(timestampVal, dt2));
}
 
Datum
timestamptz_eq_timestamp(PG_FUNCTION_ARGS)
{
    TimestampTz dt1 = PG_GETARG_TIMESTAMPTZ(0);
    Timestamp   timestampVal = PG_GETARG_TIMESTAMP(1);
 
    PG_RETURN_BOOL(timestamp_cmp_timestamptz_internal(timestampVal, dt1) == 0);
}
 
Datum
timestamptz_ne_timestamp(PG_FUNCTION_ARGS)
{
    TimestampTz dt1 = PG_GETARG_TIMESTAMPTZ(0);
    Timestamp   timestampVal = PG_GETARG_TIMESTAMP(1);
 
    PG_RETURN_BOOL(timestamp_cmp_timestamptz_internal(timestampVal, dt1) != 0);
}
 
Datum
timestamptz_lt_timestamp(PG_FUNCTION_ARGS)
{
    TimestampTz dt1 = PG_GETARG_TIMESTAMPTZ(0);
    Timestamp   timestampVal = PG_GETARG_TIMESTAMP(1);
 
    PG_RETURN_BOOL(timestamp_cmp_timestamptz_internal(timestampVal, dt1) > 0);
}
 
Datum
timestamptz_gt_timestamp(PG_FUNCTION_ARGS)
{
    TimestampTz dt1 = PG_GETARG_TIMESTAMPTZ(0);
    Timestamp   timestampVal = PG_GETARG_TIMESTAMP(1);
 
    PG_RETURN_BOOL(timestamp_cmp_timestamptz_internal(timestampVal, dt1) < 0);
}
 
Datum
timestamptz_le_timestamp(PG_FUNCTION_ARGS)
{
    TimestampTz dt1 = PG_GETARG_TIMESTAMPTZ(0);
    Timestamp   timestampVal = PG_GETARG_TIMESTAMP(1);
 
    PG_RETURN_BOOL(timestamp_cmp_timestamptz_internal(timestampVal, dt1) >= 0);
}
 
Datum
timestamptz_ge_timestamp(PG_FUNCTION_ARGS)
{
    TimestampTz dt1 = PG_GETARG_TIMESTAMPTZ(0);
    Timestamp   timestampVal = PG_GETARG_TIMESTAMP(1);
 
    PG_RETURN_BOOL(timestamp_cmp_timestamptz_internal(timestampVal, dt1) <= 0);
}
 
Datum
timestamptz_cmp_timestamp(PG_FUNCTION_ARGS)
{
    TimestampTz dt1 = PG_GETARG_TIMESTAMPTZ(0);
    Timestamp   timestampVal = PG_GETARG_TIMESTAMP(1);
 
    PG_RETURN_INT32(-timestamp_cmp_timestamptz_internal(timestampVal, dt1));
}
 
 
/*
 *      interval_relop  - is interval1 relop interval2
 *
 * Interval comparison is based on converting interval values to a linear
 * representation expressed in the units of the time field (microseconds,
 * in the case of integer timestamps) with days assumed to be always 24 hours
 * and months assumed to be always 30 days.  To avoid overflow, we need a
 * wider-than-int64 datatype for the linear representation, so use INT128.
 */
 
static inline INT128
interval_cmp_value(const Interval *interval)
{
    INT128      span;
    int64       days;
 
    /*
     * Combine the month and day fields into an integral number of days.
     * Because the inputs are int32, int64 arithmetic suffices here.
     */
    days = interval->month * INT64CONST(30);
    days += interval->day;
 
    /* Widen time field to 128 bits */
    span = int64_to_int128(interval->time);
 
    /* Scale up days to microseconds, forming a 128-bit product */
    int128_add_int64_mul_int64(&span, days, USECS_PER_DAY);
 
    return span;
}
 
static int
interval_cmp_internal(const Interval *interval1, const Interval *interval2)
{
    INT128      span1 = interval_cmp_value(interval1);
    INT128      span2 = interval_cmp_value(interval2);
 
    return int128_compare(span1, span2);
}
 
static int
interval_sign(const Interval *interval)
{
    INT128      span = interval_cmp_value(interval);
    INT128      zero = int64_to_int128(0);
 
    return int128_compare(span, zero);
}
 
Datum
interval_eq(PG_FUNCTION_ARGS)
{
    Interval   *interval1 = PG_GETARG_INTERVAL_P(0);
    Interval   *interval2 = PG_GETARG_INTERVAL_P(1);
 
    PG_RETURN_BOOL(interval_cmp_internal(interval1, interval2) == 0);
}
 
Datum
interval_ne(PG_FUNCTION_ARGS)
{
    Interval   *interval1 = PG_GETARG_INTERVAL_P(0);
    Interval   *interval2 = PG_GETARG_INTERVAL_P(1);
 
    PG_RETURN_BOOL(interval_cmp_internal(interval1, interval2) != 0);
}
 
Datum
interval_lt(PG_FUNCTION_ARGS)
{
    Interval   *interval1 = PG_GETARG_INTERVAL_P(0);
    Interval   *interval2 = PG_GETARG_INTERVAL_P(1);
 
    PG_RETURN_BOOL(interval_cmp_internal(interval1, interval2) < 0);
}
 
Datum
interval_gt(PG_FUNCTION_ARGS)
{
    Interval   *interval1 = PG_GETARG_INTERVAL_P(0);
    Interval   *interval2 = PG_GETARG_INTERVAL_P(1);
 
    PG_RETURN_BOOL(interval_cmp_internal(interval1, interval2) > 0);
}
 
Datum
interval_le(PG_FUNCTION_ARGS)
{
    Interval   *interval1 = PG_GETARG_INTERVAL_P(0);
    Interval   *interval2 = PG_GETARG_INTERVAL_P(1);
 
    PG_RETURN_BOOL(interval_cmp_internal(interval1, interval2) <= 0);
}
 
Datum
interval_ge(PG_FUNCTION_ARGS)
{
    Interval   *interval1 = PG_GETARG_INTERVAL_P(0);
    Interval   *interval2 = PG_GETARG_INTERVAL_P(1);
 
    PG_RETURN_BOOL(interval_cmp_internal(interval1, interval2) >= 0);
}
 
Datum
interval_cmp(PG_FUNCTION_ARGS)
{
    Interval   *interval1 = PG_GETARG_INTERVAL_P(0);
    Interval   *interval2 = PG_GETARG_INTERVAL_P(1);
 
    PG_RETURN_INT32(interval_cmp_internal(interval1, interval2));
}
 
/*
 * Hashing for intervals
 *
 * We must produce equal hashvals for values that interval_cmp_internal()
 * considers equal.  So, compute the net span the same way it does,
 * and then hash that.
 */
Datum
interval_hash(PG_FUNCTION_ARGS)
{
    Interval   *interval = PG_GETARG_INTERVAL_P(0);
    INT128      span = interval_cmp_value(interval);
    int64       span64;
 
    /*
     * Use only the least significant 64 bits for hashing.  The upper 64 bits
     * seldom add any useful information, and besides we must do it like this
     * for compatibility with hashes calculated before use of INT128 was
     * introduced.
     */
    span64 = int128_to_int64(span);
 
    return DirectFunctionCall1(hashint8, Int64GetDatumFast(span64));
}
 
Datum
interval_hash_extended(PG_FUNCTION_ARGS)
{
    Interval   *interval = PG_GETARG_INTERVAL_P(0);
    INT128      span = interval_cmp_value(interval);
    int64       span64;
 
    /* Same approach as interval_hash */
    span64 = int128_to_int64(span);
 
    return DirectFunctionCall2(hashint8extended, Int64GetDatumFast(span64),
                               PG_GETARG_DATUM(1));
}
 
/* overlaps_timestamp() --- implements the SQL OVERLAPS operator.
 *
 * Algorithm is per SQL spec.  This is much harder than you'd think
 * because the spec requires us to deliver a non-null answer in some cases
 * where some of the inputs are null.
 */
Datum
overlaps_timestamp(PG_FUNCTION_ARGS)
{
    /*
     * The arguments are Timestamps, but we leave them as generic Datums to
     * avoid unnecessary conversions between value and reference forms --- not
     * to mention possible dereferences of null pointers.
     */
    Datum       ts1 = PG_GETARG_DATUM(0);
    Datum       te1 = PG_GETARG_DATUM(1);
    Datum       ts2 = PG_GETARG_DATUM(2);
    Datum       te2 = PG_GETARG_DATUM(3);
    bool        ts1IsNull = PG_ARGISNULL(0);
    bool        te1IsNull = PG_ARGISNULL(1);
    bool        ts2IsNull = PG_ARGISNULL(2);
    bool        te2IsNull = PG_ARGISNULL(3);
 
#define TIMESTAMP_GT(t1,t2) \
    DatumGetBool(DirectFunctionCall2(timestamp_gt,t1,t2))
#define TIMESTAMP_LT(t1,t2) \
    DatumGetBool(DirectFunctionCall2(timestamp_lt,t1,t2))
 
    /*
     * If both endpoints of interval 1 are null, the result is null (unknown).
     * If just one endpoint is null, take ts1 as the non-null one. Otherwise,
     * take ts1 as the lesser endpoint.
     */
    if (ts1IsNull)
    {
        if (te1IsNull)
            PG_RETURN_NULL();
        /* swap null for non-null */
        ts1 = te1;
        te1IsNull = true;
    }
    else if (!te1IsNull)
    {
        if (TIMESTAMP_GT(ts1, te1))
        {
            Datum       tt = ts1;
 
            ts1 = te1;
            te1 = tt;
        }
    }
 
    /* Likewise for interval 2. */
    if (ts2IsNull)
    {
        if (te2IsNull)
            PG_RETURN_NULL();
        /* swap null for non-null */
        ts2 = te2;
        te2IsNull = true;
    }
    else if (!te2IsNull)
    {
        if (TIMESTAMP_GT(ts2, te2))
        {
            Datum       tt = ts2;
 
            ts2 = te2;
            te2 = tt;
        }
    }
 
    /*
     * At this point neither ts1 nor ts2 is null, so we can consider three
     * cases: ts1 > ts2, ts1 < ts2, ts1 = ts2
     */
    if (TIMESTAMP_GT(ts1, ts2))
    {
        /*
         * This case is ts1 < te2 OR te1 < te2, which may look redundant but
         * in the presence of nulls it's not quite completely so.
         */
        if (te2IsNull)
            PG_RETURN_NULL();
        if (TIMESTAMP_LT(ts1, te2))
            PG_RETURN_BOOL(true);
        if (te1IsNull)
            PG_RETURN_NULL();
 
        /*
         * If te1 is not null then we had ts1 <= te1 above, and we just found
         * ts1 >= te2, hence te1 >= te2.
         */
        PG_RETURN_BOOL(false);
    }
    else if (TIMESTAMP_LT(ts1, ts2))
    {
        /* This case is ts2 < te1 OR te2 < te1 */
        if (te1IsNull)
            PG_RETURN_NULL();
        if (TIMESTAMP_LT(ts2, te1))
            PG_RETURN_BOOL(true);
        if (te2IsNull)
            PG_RETURN_NULL();
 
        /*
         * If te2 is not null then we had ts2 <= te2 above, and we just found
         * ts2 >= te1, hence te2 >= te1.
         */
        PG_RETURN_BOOL(false);
    }
    else
    {
        /*
         * For ts1 = ts2 the spec says te1 <> te2 OR te1 = te2, which is a
         * rather silly way of saying "true if both are non-null, else null".
         */
        if (te1IsNull || te2IsNull)
            PG_RETURN_NULL();
        PG_RETURN_BOOL(true);
    }
 
#undef TIMESTAMP_GT
#undef TIMESTAMP_LT
}
 
 
/*----------------------------------------------------------
 *  "Arithmetic" operators on date/times.
 *---------------------------------------------------------*/
 
Datum
timestamp_smaller(PG_FUNCTION_ARGS)
{
    Timestamp   dt1 = PG_GETARG_TIMESTAMP(0);
    Timestamp   dt2 = PG_GETARG_TIMESTAMP(1);
    Timestamp   result;
 
    /* use timestamp_cmp_internal to be sure this agrees with comparisons */
    if (timestamp_cmp_internal(dt1, dt2) < 0)
        result = dt1;
    else
        result = dt2;
    PG_RETURN_TIMESTAMP(result);
}
 
Datum
timestamp_larger(PG_FUNCTION_ARGS)
{
    Timestamp   dt1 = PG_GETARG_TIMESTAMP(0);
    Timestamp   dt2 = PG_GETARG_TIMESTAMP(1);
    Timestamp   result;
 
    if (timestamp_cmp_internal(dt1, dt2) > 0)
        result = dt1;
    else
        result = dt2;
    PG_RETURN_TIMESTAMP(result);
}
 
 
Datum
timestamp_mi(PG_FUNCTION_ARGS)
{
    Timestamp   dt1 = PG_GETARG_TIMESTAMP(0);
    Timestamp   dt2 = PG_GETARG_TIMESTAMP(1);
    Interval   *result;
 
    result = (Interval *) palloc(sizeof(Interval));
 
    /*
     * Handle infinities.
     *
     * We treat anything that amounts to "infinity - infinity" as an error,
     * since the interval type has nothing equivalent to NaN.
     */
    if (TIMESTAMP_NOT_FINITE(dt1) || TIMESTAMP_NOT_FINITE(dt2))
    {
        if (TIMESTAMP_IS_NOBEGIN(dt1))
        {
            if (TIMESTAMP_IS_NOBEGIN(dt2))
                ereport(ERROR,
                        (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                         errmsg("interval out of range")));
            else
                INTERVAL_NOBEGIN(result);
        }
        else if (TIMESTAMP_IS_NOEND(dt1))
        {
            if (TIMESTAMP_IS_NOEND(dt2))
                ereport(ERROR,
                        (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                         errmsg("interval out of range")));
            else
                INTERVAL_NOEND(result);
        }
        else if (TIMESTAMP_IS_NOBEGIN(dt2))
            INTERVAL_NOEND(result);
        else                    /* TIMESTAMP_IS_NOEND(dt2) */
            INTERVAL_NOBEGIN(result);
 
        PG_RETURN_INTERVAL_P(result);
    }
 
    if (unlikely(pg_sub_s64_overflow(dt1, dt2, &result->time)))
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                 errmsg("interval out of range")));
 
    result->month = 0;
    result->day = 0;
 
    /*----------
     *  This is wrong, but removing it breaks a lot of regression tests.
     *  For example:
     *
     *  test=> SET timezone = 'EST5EDT';
     *  test=> SELECT
     *  test-> ('2005-10-30 13:22:00-05'::timestamptz -
     *  test(>  '2005-10-29 13:22:00-04'::timestamptz);
     *  ?column?
     *  ----------------
     *   1 day 01:00:00
     *   (1 row)
     *
     *  so adding that to the first timestamp gets:
     *
     *   test=> SELECT
     *   test-> ('2005-10-29 13:22:00-04'::timestamptz +
     *   test(> ('2005-10-30 13:22:00-05'::timestamptz -
     *   test(>  '2005-10-29 13:22:00-04'::timestamptz)) at time zone 'EST';
     *      timezone
     *  --------------------
     *  2005-10-30 14:22:00
     *  (1 row)
     *----------
     */
    result = DatumGetIntervalP(DirectFunctionCall1(interval_justify_hours,
                                                   IntervalPGetDatum(result)));
 
    PG_RETURN_INTERVAL_P(result);
}
 
/*
 *  interval_justify_interval()
 *
 *  Adjust interval so 'month', 'day', and 'time' portions are within
 *  customary bounds.  Specifically:
 *
 *      0 <= abs(time) < 24 hours
 *      0 <= abs(day)  < 30 days
 *
 *  Also, the sign bit on all three fields is made equal, so either
 *  all three fields are negative or all are positive.
 */
Datum
interval_justify_interval(PG_FUNCTION_ARGS)
{
    Interval   *span = PG_GETARG_INTERVAL_P(0);
    Interval   *result;
    TimeOffset  wholeday;
    int32       wholemonth;
 
    result = (Interval *) palloc(sizeof(Interval));
    result->month = span->month;
    result->day = span->day;
    result->time = span->time;
 
    /* do nothing for infinite intervals */
    if (INTERVAL_NOT_FINITE(result))
        PG_RETURN_INTERVAL_P(result);
 
    /* pre-justify days if it might prevent overflow */
    if ((result->day > 0 && result->time > 0) ||
        (result->day < 0 && result->time < 0))
    {
        wholemonth = result->day / DAYS_PER_MONTH;
        result->day -= wholemonth * DAYS_PER_MONTH;
        if (pg_add_s32_overflow(result->month, wholemonth, &result->month))
            ereport(ERROR,
                    (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                     errmsg("interval out of range")));
    }
 
    /*
     * Since TimeOffset is int64, abs(wholeday) can't exceed about 1.07e8.  If
     * we pre-justified then abs(result->day) is less than DAYS_PER_MONTH, so
     * this addition can't overflow.  If we didn't pre-justify, then day and
     * time are of different signs, so it still can't overflow.
     */
    TMODULO(result->time, wholeday, USECS_PER_DAY);
    result->day += wholeday;
 
    wholemonth = result->day / DAYS_PER_MONTH;
    result->day -= wholemonth * DAYS_PER_MONTH;
    if (pg_add_s32_overflow(result->month, wholemonth, &result->month))
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                 errmsg("interval out of range")));
 
    if (result->month > 0 &&
        (result->day < 0 || (result->day == 0 && result->time < 0)))
    {
        result->day += DAYS_PER_MONTH;
        result->month--;
    }
    else if (result->month < 0 &&
             (result->day > 0 || (result->day == 0 && result->time > 0)))
    {
        result->day -= DAYS_PER_MONTH;
        result->month++;
    }
 
    if (result->day > 0 && result->time < 0)
    {
        result->time += USECS_PER_DAY;
        result->day--;
    }
    else if (result->day < 0 && result->time > 0)
    {
        result->time -= USECS_PER_DAY;
        result->day++;
    }
 
    PG_RETURN_INTERVAL_P(result);
}
 
/*
 *  interval_justify_hours()
 *
 *  Adjust interval so 'time' contains less than a whole day, adding
 *  the excess to 'day'.  This is useful for
 *  situations (such as non-TZ) where '1 day' = '24 hours' is valid,
 *  e.g. interval subtraction and division.
 */
Datum
interval_justify_hours(PG_FUNCTION_ARGS)
{
    Interval   *span = PG_GETARG_INTERVAL_P(0);
    Interval   *result;
    TimeOffset  wholeday;
 
    result = (Interval *) palloc(sizeof(Interval));
    result->month = span->month;
    result->day = span->day;
    result->time = span->time;
 
    /* do nothing for infinite intervals */
    if (INTERVAL_NOT_FINITE(result))
        PG_RETURN_INTERVAL_P(result);
 
    TMODULO(result->time, wholeday, USECS_PER_DAY);
    if (pg_add_s32_overflow(result->day, wholeday, &result->day))
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                 errmsg("interval out of range")));
 
    if (result->day > 0 && result->time < 0)
    {
        result->time += USECS_PER_DAY;
        result->day--;
    }
    else if (result->day < 0 && result->time > 0)
    {
        result->time -= USECS_PER_DAY;
        result->day++;
    }
 
    PG_RETURN_INTERVAL_P(result);
}
 
/*
 *  interval_justify_days()
 *
 *  Adjust interval so 'day' contains less than 30 days, adding
 *  the excess to 'month'.
 */
Datum
interval_justify_days(PG_FUNCTION_ARGS)
{
    Interval   *span = PG_GETARG_INTERVAL_P(0);
    Interval   *result;
    int32       wholemonth;
 
    result = (Interval *) palloc(sizeof(Interval));
    result->month = span->month;
    result->day = span->day;
    result->time = span->time;
 
    /* do nothing for infinite intervals */
    if (INTERVAL_NOT_FINITE(result))
        PG_RETURN_INTERVAL_P(result);
 
    wholemonth = result->day / DAYS_PER_MONTH;
    result->day -= wholemonth * DAYS_PER_MONTH;
    if (pg_add_s32_overflow(result->month, wholemonth, &result->month))
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                 errmsg("interval out of range")));
 
    if (result->month > 0 && result->day < 0)
    {
        result->day += DAYS_PER_MONTH;
        result->month--;
    }
    else if (result->month < 0 && result->day > 0)
    {
        result->day -= DAYS_PER_MONTH;
        result->month++;
    }
 
    PG_RETURN_INTERVAL_P(result);
}
 
/* timestamp_pl_interval()
 * Add an interval to a timestamp data type.
 * Note that interval has provisions for qualitative year/month and day
 *  units, so try to do the right thing with them.
 * To add a month, increment the month, and use the same day of month.
 * Then, if the next month has fewer days, set the day of month
 *  to the last day of month.
 * To add a day, increment the mday, and use the same time of day.
 * Lastly, add in the "quantitative time".
 */
Datum
timestamp_pl_interval(PG_FUNCTION_ARGS)
{
    Timestamp   timestamp = PG_GETARG_TIMESTAMP(0);
    Interval   *span = PG_GETARG_INTERVAL_P(1);
    Timestamp   result;
 
    /*
     * Handle infinities.
     *
     * We treat anything that amounts to "infinity - infinity" as an error,
     * since the timestamp type has nothing equivalent to NaN.
     */
    if (INTERVAL_IS_NOBEGIN(span))
    {
        if (TIMESTAMP_IS_NOEND(timestamp))
            ereport(ERROR,
                    (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                     errmsg("timestamp out of range")));
        else
            TIMESTAMP_NOBEGIN(result);
    }
    else if (INTERVAL_IS_NOEND(span))
    {
        if (TIMESTAMP_IS_NOBEGIN(timestamp))
            ereport(ERROR,
                    (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                     errmsg("timestamp out of range")));
        else
            TIMESTAMP_NOEND(result);
    }
    else if (TIMESTAMP_NOT_FINITE(timestamp))
        result = timestamp;
    else
    {
        if (span->month != 0)
        {
            struct pg_tm tt,
                       *tm = &tt;
            fsec_t      fsec;
 
            if (timestamp2tm(timestamp, NULL, tm, &fsec, NULL, NULL) != 0)
                ereport(ERROR,
                        (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                         errmsg("timestamp out of range")));
 
            if (pg_add_s32_overflow(tm->tm_mon, span->month, &tm->tm_mon))
                ereport(ERROR,
                        (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                         errmsg("timestamp out of range")));
            if (tm->tm_mon > MONTHS_PER_YEAR)
            {
                tm->tm_year += (tm->tm_mon - 1) / MONTHS_PER_YEAR;
                tm->tm_mon = ((tm->tm_mon - 1) % MONTHS_PER_YEAR) + 1;
            }
            else if (tm->tm_mon < 1)
            {
                tm->tm_year += tm->tm_mon / MONTHS_PER_YEAR - 1;
                tm->tm_mon = tm->tm_mon % MONTHS_PER_YEAR + MONTHS_PER_YEAR;
            }
 
            /* adjust for end of month boundary problems... */
            if (tm->tm_mday > day_tab[isleap(tm->tm_year)][tm->tm_mon - 1])
                tm->tm_mday = (day_tab[isleap(tm->tm_year)][tm->tm_mon - 1]);
 
            if (tm2timestamp(tm, fsec, NULL, &timestamp) != 0)
                ereport(ERROR,
                        (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                         errmsg("timestamp out of range")));
        }
 
        if (span->day != 0)
        {
            struct pg_tm tt,
                       *tm = &tt;
            fsec_t      fsec;
            int         julian;
 
            if (timestamp2tm(timestamp, NULL, tm, &fsec, NULL, NULL) != 0)
                ereport(ERROR,
                        (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                         errmsg("timestamp out of range")));
 
            /*
             * Add days by converting to and from Julian.  We need an overflow
             * check here since j2date expects a non-negative integer input.
             */
            julian = date2j(tm->tm_year, tm->tm_mon, tm->tm_mday);
            if (pg_add_s32_overflow(julian, span->day, &julian) ||
                julian < 0)
                ereport(ERROR,
                        (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                         errmsg("timestamp out of range")));
            j2date(julian, &tm->tm_year, &tm->tm_mon, &tm->tm_mday);
 
            if (tm2timestamp(tm, fsec, NULL, &timestamp) != 0)
                ereport(ERROR,
                        (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                         errmsg("timestamp out of range")));
        }
 
        if (pg_add_s64_overflow(timestamp, span->time, &timestamp))
            ereport(ERROR,
                    (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                     errmsg("timestamp out of range")));
 
        if (!IS_VALID_TIMESTAMP(timestamp))
            ereport(ERROR,
                    (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                     errmsg("timestamp out of range")));
 
        result = timestamp;
    }
 
    PG_RETURN_TIMESTAMP(result);
}
 
Datum
timestamp_mi_interval(PG_FUNCTION_ARGS)
{
    Timestamp   timestamp = PG_GETARG_TIMESTAMP(0);
    Interval   *span = PG_GETARG_INTERVAL_P(1);
    Interval    tspan;
 
    interval_um_internal(span, &tspan);
 
    return DirectFunctionCall2(timestamp_pl_interval,
                               TimestampGetDatum(timestamp),
                               PointerGetDatum(&tspan));
}
 
 
/* timestamptz_pl_interval_internal()
 * Add an interval to a timestamptz, in the given (or session) timezone.
 *
 * Note that interval has provisions for qualitative year/month and day
 *  units, so try to do the right thing with them.
 * To add a month, increment the month, and use the same day of month.
 * Then, if the next month has fewer days, set the day of month
 *  to the last day of month.
 * To add a day, increment the mday, and use the same time of day.
 * Lastly, add in the "quantitative time".
 */
static TimestampTz
timestamptz_pl_interval_internal(TimestampTz timestamp,
                                 Interval *span,
                                 pg_tz *attimezone)
{
    TimestampTz result;
    int         tz;
 
    /*
     * Handle infinities.
     *
     * We treat anything that amounts to "infinity - infinity" as an error,
     * since the timestamptz type has nothing equivalent to NaN.
     */
    if (INTERVAL_IS_NOBEGIN(span))
    {
        if (TIMESTAMP_IS_NOEND(timestamp))
            ereport(ERROR,
                    (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                     errmsg("timestamp out of range")));
        else
            TIMESTAMP_NOBEGIN(result);
    }
    else if (INTERVAL_IS_NOEND(span))
    {
        if (TIMESTAMP_IS_NOBEGIN(timestamp))
            ereport(ERROR,
                    (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                     errmsg("timestamp out of range")));
        else
            TIMESTAMP_NOEND(result);
    }
    else if (TIMESTAMP_NOT_FINITE(timestamp))
        result = timestamp;
    else
    {
        /* Use session timezone if caller asks for default */
        if (attimezone == NULL)
            attimezone = session_timezone;
 
        if (span->month != 0)
        {
            struct pg_tm tt,
                       *tm = &tt;
            fsec_t      fsec;
 
            if (timestamp2tm(timestamp, &tz, tm, &fsec, NULL, attimezone) != 0)
                ereport(ERROR,
                        (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                         errmsg("timestamp out of range")));
 
            if (pg_add_s32_overflow(tm->tm_mon, span->month, &tm->tm_mon))
                ereport(ERROR,
                        (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                         errmsg("timestamp out of range")));
            if (tm->tm_mon > MONTHS_PER_YEAR)
            {
                tm->tm_year += (tm->tm_mon - 1) / MONTHS_PER_YEAR;
                tm->tm_mon = ((tm->tm_mon - 1) % MONTHS_PER_YEAR) + 1;
            }
            else if (tm->tm_mon < 1)
            {
                tm->tm_year += tm->tm_mon / MONTHS_PER_YEAR - 1;
                tm->tm_mon = tm->tm_mon % MONTHS_PER_YEAR + MONTHS_PER_YEAR;
            }
 
            /* adjust for end of month boundary problems... */
            if (tm->tm_mday > day_tab[isleap(tm->tm_year)][tm->tm_mon - 1])
                tm->tm_mday = (day_tab[isleap(tm->tm_year)][tm->tm_mon - 1]);
 
            tz = DetermineTimeZoneOffset(tm, attimezone);
 
            if (tm2timestamp(tm, fsec, &tz, &timestamp) != 0)
                ereport(ERROR,
                        (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                         errmsg("timestamp out of range")));
        }
 
        if (span->day != 0)
        {
            struct pg_tm tt,
                       *tm = &tt;
            fsec_t      fsec;
            int         julian;
 
            if (timestamp2tm(timestamp, &tz, tm, &fsec, NULL, attimezone) != 0)
                ereport(ERROR,
                        (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                         errmsg("timestamp out of range")));
 
            /*
             * Add days by converting to and from Julian.  We need an overflow
             * check here since j2date expects a non-negative integer input.
             * In practice though, it will give correct answers for small
             * negative Julian dates; we should allow -1 to avoid
             * timezone-dependent failures, as discussed in timestamp.h.
             */
            julian = date2j(tm->tm_year, tm->tm_mon, tm->tm_mday);
            if (pg_add_s32_overflow(julian, span->day, &julian) ||
                julian < -1)
                ereport(ERROR,
                        (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                         errmsg("timestamp out of range")));
            j2date(julian, &tm->tm_year, &tm->tm_mon, &tm->tm_mday);
 
            tz = DetermineTimeZoneOffset(tm, attimezone);
 
            if (tm2timestamp(tm, fsec, &tz, &timestamp) != 0)
                ereport(ERROR,
                        (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                         errmsg("timestamp out of range")));
        }
 
        if (pg_add_s64_overflow(timestamp, span->time, &timestamp))
            ereport(ERROR,
                    (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                     errmsg("timestamp out of range")));
 
        if (!IS_VALID_TIMESTAMP(timestamp))
            ereport(ERROR,
                    (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                     errmsg("timestamp out of range")));
 
        result = timestamp;
    }
 
    return result;
}
 
/* timestamptz_mi_interval_internal()
 * As above, but subtract the interval.
 */
static TimestampTz
timestamptz_mi_interval_internal(TimestampTz timestamp,
                                 Interval *span,
                                 pg_tz *attimezone)
{
    Interval    tspan;
 
    interval_um_internal(span, &tspan);
 
    return timestamptz_pl_interval_internal(timestamp, &tspan, attimezone);
}
 
/* timestamptz_pl_interval()
 * Add an interval to a timestamptz, in the session timezone.
 */
Datum
timestamptz_pl_interval(PG_FUNCTION_ARGS)
{
    TimestampTz timestamp = PG_GETARG_TIMESTAMPTZ(0);
    Interval   *span = PG_GETARG_INTERVAL_P(1);
 
    PG_RETURN_TIMESTAMP(timestamptz_pl_interval_internal(timestamp, span, NULL));
}
 
Datum
timestamptz_mi_interval(PG_FUNCTION_ARGS)
{
    TimestampTz timestamp = PG_GETARG_TIMESTAMPTZ(0);
    Interval   *span = PG_GETARG_INTERVAL_P(1);
 
    PG_RETURN_TIMESTAMP(timestamptz_mi_interval_internal(timestamp, span, NULL));
}
 
/* timestamptz_pl_interval_at_zone()
 * Add an interval to a timestamptz, in the specified timezone.
 */
Datum
timestamptz_pl_interval_at_zone(PG_FUNCTION_ARGS)
{
    TimestampTz timestamp = PG_GETARG_TIMESTAMPTZ(0);
    Interval   *span = PG_GETARG_INTERVAL_P(1);
    text       *zone = PG_GETARG_TEXT_PP(2);
    pg_tz      *attimezone = lookup_timezone(zone);
 
    PG_RETURN_TIMESTAMP(timestamptz_pl_interval_internal(timestamp, span, attimezone));
}
 
Datum
timestamptz_mi_interval_at_zone(PG_FUNCTION_ARGS)
{
    TimestampTz timestamp = PG_GETARG_TIMESTAMPTZ(0);
    Interval   *span = PG_GETARG_INTERVAL_P(1);
    text       *zone = PG_GETARG_TEXT_PP(2);
    pg_tz      *attimezone = lookup_timezone(zone);
 
    PG_RETURN_TIMESTAMP(timestamptz_mi_interval_internal(timestamp, span, attimezone));
}
 
/* interval_um_internal()
 * Negate an interval.
 */
static void
interval_um_internal(const Interval *interval, Interval *result)
{
    if (INTERVAL_IS_NOBEGIN(interval))
        INTERVAL_NOEND(result);
    else if (INTERVAL_IS_NOEND(interval))
        INTERVAL_NOBEGIN(result);
    else
    {
        /* Negate each field, guarding against overflow */
        if (pg_sub_s64_overflow(INT64CONST(0), interval->time, &result->time) ||
            pg_sub_s32_overflow(0, interval->day, &result->day) ||
            pg_sub_s32_overflow(0, interval->month, &result->month) ||
            INTERVAL_NOT_FINITE(result))
            ereport(ERROR,
                    (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                     errmsg("interval out of range")));
    }
}
 
Datum
interval_um(PG_FUNCTION_ARGS)
{
    Interval   *interval = PG_GETARG_INTERVAL_P(0);
    Interval   *result;
 
    result = (Interval *) palloc(sizeof(Interval));
    interval_um_internal(interval, result);
 
    PG_RETURN_INTERVAL_P(result);
}
 
 
Datum
interval_smaller(PG_FUNCTION_ARGS)
{
    Interval   *interval1 = PG_GETARG_INTERVAL_P(0);
    Interval   *interval2 = PG_GETARG_INTERVAL_P(1);
    Interval   *result;
 
    /* use interval_cmp_internal to be sure this agrees with comparisons */
    if (interval_cmp_internal(interval1, interval2) < 0)
        result = interval1;
    else
        result = interval2;
    PG_RETURN_INTERVAL_P(result);
}
 
Datum
interval_larger(PG_FUNCTION_ARGS)
{
    Interval   *interval1 = PG_GETARG_INTERVAL_P(0);
    Interval   *interval2 = PG_GETARG_INTERVAL_P(1);
    Interval   *result;
 
    if (interval_cmp_internal(interval1, interval2) > 0)
        result = interval1;
    else
        result = interval2;
    PG_RETURN_INTERVAL_P(result);
}
 
static void
finite_interval_pl(const Interval *span1, const Interval *span2, Interval *result)
{
    Assert(!INTERVAL_NOT_FINITE(span1));
    Assert(!INTERVAL_NOT_FINITE(span2));
 
    if (pg_add_s32_overflow(span1->month, span2->month, &result->month) ||
        pg_add_s32_overflow(span1->day, span2->day, &result->day) ||
        pg_add_s64_overflow(span1->time, span2->time, &result->time) ||
        INTERVAL_NOT_FINITE(result))
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                 errmsg("interval out of range")));
}
 
Datum
interval_pl(PG_FUNCTION_ARGS)
{
    Interval   *span1 = PG_GETARG_INTERVAL_P(0);
    Interval   *span2 = PG_GETARG_INTERVAL_P(1);
    Interval   *result;
 
    result = (Interval *) palloc(sizeof(Interval));
 
    /*
     * Handle infinities.
     *
     * We treat anything that amounts to "infinity - infinity" as an error,
     * since the interval type has nothing equivalent to NaN.
     */
    if (INTERVAL_IS_NOBEGIN(span1))
    {
        if (INTERVAL_IS_NOEND(span2))
            ereport(ERROR,
                    (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                     errmsg("interval out of range")));
        else
            INTERVAL_NOBEGIN(result);
    }
    else if (INTERVAL_IS_NOEND(span1))
    {
        if (INTERVAL_IS_NOBEGIN(span2))
            ereport(ERROR,
                    (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                     errmsg("interval out of range")));
        else
            INTERVAL_NOEND(result);
    }
    else if (INTERVAL_NOT_FINITE(span2))
        memcpy(result, span2, sizeof(Interval));
    else
        finite_interval_pl(span1, span2, result);
 
    PG_RETURN_INTERVAL_P(result);
}
 
static void
finite_interval_mi(const Interval *span1, const Interval *span2, Interval *result)
{
    Assert(!INTERVAL_NOT_FINITE(span1));
    Assert(!INTERVAL_NOT_FINITE(span2));
 
    if (pg_sub_s32_overflow(span1->month, span2->month, &result->month) ||
        pg_sub_s32_overflow(span1->day, span2->day, &result->day) ||
        pg_sub_s64_overflow(span1->time, span2->time, &result->time) ||
        INTERVAL_NOT_FINITE(result))
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                 errmsg("interval out of range")));
}
 
Datum
interval_mi(PG_FUNCTION_ARGS)
{
    Interval   *span1 = PG_GETARG_INTERVAL_P(0);
    Interval   *span2 = PG_GETARG_INTERVAL_P(1);
    Interval   *result;
 
    result = (Interval *) palloc(sizeof(Interval));
 
    /*
     * Handle infinities.
     *
     * We treat anything that amounts to "infinity - infinity" as an error,
     * since the interval type has nothing equivalent to NaN.
     */
    if (INTERVAL_IS_NOBEGIN(span1))
    {
        if (INTERVAL_IS_NOBEGIN(span2))
            ereport(ERROR,
                    (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                     errmsg("interval out of range")));
        else
            INTERVAL_NOBEGIN(result);
    }
    else if (INTERVAL_IS_NOEND(span1))
    {
        if (INTERVAL_IS_NOEND(span2))
            ereport(ERROR,
                    (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                     errmsg("interval out of range")));
        else
            INTERVAL_NOEND(result);
    }
    else if (INTERVAL_IS_NOBEGIN(span2))
        INTERVAL_NOEND(result);
    else if (INTERVAL_IS_NOEND(span2))
        INTERVAL_NOBEGIN(result);
    else
        finite_interval_mi(span1, span2, result);
 
    PG_RETURN_INTERVAL_P(result);
}
 
/*
 *  There is no interval_abs():  it is unclear what value to return:
 *    http://archives.postgresql.org/pgsql-general/2009-10/msg01031.php
 *    http://archives.postgresql.org/pgsql-general/2009-11/msg00041.php
 */
 
Datum
interval_mul(PG_FUNCTION_ARGS)
{
    Interval   *span = PG_GETARG_INTERVAL_P(0);
    float8      factor = PG_GETARG_FLOAT8(1);
    double      month_remainder_days,
                sec_remainder,
                result_double;
    int32       orig_month = span->month,
                orig_day = span->day;
    Interval   *result;
 
    result = (Interval *) palloc(sizeof(Interval));
 
    /*
     * Handle NaN and infinities.
     *
     * We treat "0 * infinity" and "infinity * 0" as errors, since the
     * interval type has nothing equivalent to NaN.
     */
    if (isnan(factor))
        goto out_of_range;
 
    if (INTERVAL_NOT_FINITE(span))
    {
        if (factor == 0.0)
            goto out_of_range;
 
        if (factor < 0.0)
            interval_um_internal(span, result);
        else
            memcpy(result, span, sizeof(Interval));
 
        PG_RETURN_INTERVAL_P(result);
    }
    if (isinf(factor))
    {
        int         isign = interval_sign(span);
 
        if (isign == 0)
            goto out_of_range;
 
        if (factor * isign < 0)
            INTERVAL_NOBEGIN(result);
        else
            INTERVAL_NOEND(result);
 
        PG_RETURN_INTERVAL_P(result);
    }
 
    result_double = span->month * factor;
    if (isnan(result_double) || !FLOAT8_FITS_IN_INT32(result_double))
        goto out_of_range;
    result->month = (int32) result_double;
 
    result_double = span->day * factor;
    if (isnan(result_double) || !FLOAT8_FITS_IN_INT32(result_double))
        goto out_of_range;
    result->day = (int32) result_double;
 
    /*
     * The above correctly handles the whole-number part of the month and day
     * products, but we have to do something with any fractional part
     * resulting when the factor is non-integral.  We cascade the fractions
     * down to lower units using the conversion factors DAYS_PER_MONTH and
     * SECS_PER_DAY.  Note we do NOT cascade up, since we are not forced to do
     * so by the representation.  The user can choose to cascade up later,
     * using justify_hours and/or justify_days.
     */
 
    /*
     * Fractional months full days into days.
     *
     * Floating point calculation are inherently imprecise, so these
     * calculations are crafted to produce the most reliable result possible.
     * TSROUND() is needed to more accurately produce whole numbers where
     * appropriate.
     */
    month_remainder_days = (orig_month * factor - result->month) * DAYS_PER_MONTH;
    month_remainder_days = TSROUND(month_remainder_days);
    sec_remainder = (orig_day * factor - result->day +
                     month_remainder_days - (int) month_remainder_days) * SECS_PER_DAY;
    sec_remainder = TSROUND(sec_remainder);
 
    /*
     * Might have 24:00:00 hours due to rounding, or >24 hours because of time
     * cascade from months and days.  It might still be >24 if the combination
     * of cascade and the seconds factor operation itself.
     */
    if (fabs(sec_remainder) >= SECS_PER_DAY)
    {
        if (pg_add_s32_overflow(result->day,
                                (int) (sec_remainder / SECS_PER_DAY),
                                &result->day))
            goto out_of_range;
        sec_remainder -= (int) (sec_remainder / SECS_PER_DAY) * SECS_PER_DAY;
    }
 
    /* cascade units down */
    if (pg_add_s32_overflow(result->day, (int32) month_remainder_days,
                            &result->day))
        goto out_of_range;
    result_double = rint(span->time * factor + sec_remainder * USECS_PER_SEC);
    if (isnan(result_double) || !FLOAT8_FITS_IN_INT64(result_double))
        goto out_of_range;
    result->time = (int64) result_double;
 
    if (INTERVAL_NOT_FINITE(result))
        goto out_of_range;
 
    PG_RETURN_INTERVAL_P(result);
 
out_of_range:
    ereport(ERROR,
            errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
            errmsg("interval out of range"));
 
    PG_RETURN_NULL();           /* keep compiler quiet */
}
 
Datum
mul_d_interval(PG_FUNCTION_ARGS)
{
    /* Args are float8 and Interval *, but leave them as generic Datum */
    Datum       factor = PG_GETARG_DATUM(0);
    Datum       span = PG_GETARG_DATUM(1);
 
    return DirectFunctionCall2(interval_mul, span, factor);
}
 
Datum
interval_div(PG_FUNCTION_ARGS)
{
    Interval   *span = PG_GETARG_INTERVAL_P(0);
    float8      factor = PG_GETARG_FLOAT8(1);
    double      month_remainder_days,
                sec_remainder,
                result_double;
    int32       orig_month = span->month,
                orig_day = span->day;
    Interval   *result;
 
    result = (Interval *) palloc(sizeof(Interval));
 
    if (factor == 0.0)
        ereport(ERROR,
                (errcode(ERRCODE_DIVISION_BY_ZERO),
                 errmsg("division by zero")));
 
    /*
     * Handle NaN and infinities.
     *
     * We treat "infinity / infinity" as an error, since the interval type has
     * nothing equivalent to NaN.  Otherwise, dividing by infinity is handled
     * by the regular division code, causing all fields to be set to zero.
     */
    if (isnan(factor))
        goto out_of_range;
 
    if (INTERVAL_NOT_FINITE(span))
    {
        if (isinf(factor))
            goto out_of_range;
 
        if (factor < 0.0)
            interval_um_internal(span, result);
        else
            memcpy(result, span, sizeof(Interval));
 
        PG_RETURN_INTERVAL_P(result);
    }
 
    result_double = span->month / factor;
    if (isnan(result_double) || !FLOAT8_FITS_IN_INT32(result_double))
        goto out_of_range;
    result->month = (int32) result_double;
 
    result_double = span->day / factor;
    if (isnan(result_double) || !FLOAT8_FITS_IN_INT32(result_double))
        goto out_of_range;
    result->day = (int32) result_double;
 
    /*
     * Fractional months full days into days.  See comment in interval_mul().
     */
    month_remainder_days = (orig_month / factor - result->month) * DAYS_PER_MONTH;
    month_remainder_days = TSROUND(month_remainder_days);
    sec_remainder = (orig_day / factor - result->day +
                     month_remainder_days - (int) month_remainder_days) * SECS_PER_DAY;
    sec_remainder = TSROUND(sec_remainder);
    if (fabs(sec_remainder) >= SECS_PER_DAY)
    {
        if (pg_add_s32_overflow(result->day,
                                (int) (sec_remainder / SECS_PER_DAY),
                                &result->day))
            goto out_of_range;
        sec_remainder -= (int) (sec_remainder / SECS_PER_DAY) * SECS_PER_DAY;
    }
 
    /* cascade units down */
    if (pg_add_s32_overflow(result->day, (int32) month_remainder_days,
                            &result->day))
        goto out_of_range;
    result_double = rint(span->time / factor + sec_remainder * USECS_PER_SEC);
    if (isnan(result_double) || !FLOAT8_FITS_IN_INT64(result_double))
        goto out_of_range;
    result->time = (int64) result_double;
 
    if (INTERVAL_NOT_FINITE(result))
        goto out_of_range;
 
    PG_RETURN_INTERVAL_P(result);
 
out_of_range:
    ereport(ERROR,
            errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
            errmsg("interval out of range"));
 
    PG_RETURN_NULL();           /* keep compiler quiet */
}
 
 
/*
 * in_range support functions for timestamps and intervals.
 *
 * Per SQL spec, we support these with interval as the offset type.
 * The spec's restriction that the offset not be negative is a bit hard to
 * decipher for intervals, but we choose to interpret it the same as our
 * interval comparison operators would.
 */
 
Datum
in_range_timestamptz_interval(PG_FUNCTION_ARGS)
{
    TimestampTz val = PG_GETARG_TIMESTAMPTZ(0);
    TimestampTz base = PG_GETARG_TIMESTAMPTZ(1);
    Interval   *offset = PG_GETARG_INTERVAL_P(2);
    bool        sub = PG_GETARG_BOOL(3);
    bool        less = PG_GETARG_BOOL(4);
    TimestampTz sum;
 
    if (interval_sign(offset) < 0)
        ereport(ERROR,
                (errcode(ERRCODE_INVALID_PRECEDING_OR_FOLLOWING_SIZE),
                 errmsg("invalid preceding or following size in window function")));
 
    /*
     * Deal with cases where both base and offset are infinite, and computing
     * base +/- offset would cause an error.  As for float and numeric types,
     * we assume that all values infinitely precede +infinity and infinitely
     * follow -infinity.  See in_range_float8_float8() for reasoning.
     */
    if (INTERVAL_IS_NOEND(offset) &&
        (sub ? TIMESTAMP_IS_NOEND(base) : TIMESTAMP_IS_NOBEGIN(base)))
        PG_RETURN_BOOL(true);
 
    /* We don't currently bother to avoid overflow hazards here */
    if (sub)
        sum = timestamptz_mi_interval_internal(base, offset, NULL);
    else
        sum = timestamptz_pl_interval_internal(base, offset, NULL);
 
    if (less)
        PG_RETURN_BOOL(val <= sum);
    else
        PG_RETURN_BOOL(val >= sum);
}
 
Datum
in_range_timestamp_interval(PG_FUNCTION_ARGS)
{
    Timestamp   val = PG_GETARG_TIMESTAMP(0);
    Timestamp   base = PG_GETARG_TIMESTAMP(1);
    Interval   *offset = PG_GETARG_INTERVAL_P(2);
    bool        sub = PG_GETARG_BOOL(3);
    bool        less = PG_GETARG_BOOL(4);
    Timestamp   sum;
 
    if (interval_sign(offset) < 0)
        ereport(ERROR,
                (errcode(ERRCODE_INVALID_PRECEDING_OR_FOLLOWING_SIZE),
                 errmsg("invalid preceding or following size in window function")));
 
    /*
     * Deal with cases where both base and offset are infinite, and computing
     * base +/- offset would cause an error.  As for float and numeric types,
     * we assume that all values infinitely precede +infinity and infinitely
     * follow -infinity.  See in_range_float8_float8() for reasoning.
     */
    if (INTERVAL_IS_NOEND(offset) &&
        (sub ? TIMESTAMP_IS_NOEND(base) : TIMESTAMP_IS_NOBEGIN(base)))
        PG_RETURN_BOOL(true);
 
    /* We don't currently bother to avoid overflow hazards here */
    if (sub)
        sum = DatumGetTimestamp(DirectFunctionCall2(timestamp_mi_interval,
                                                    TimestampGetDatum(base),
                                                    IntervalPGetDatum(offset)));
    else
        sum = DatumGetTimestamp(DirectFunctionCall2(timestamp_pl_interval,
                                                    TimestampGetDatum(base),
                                                    IntervalPGetDatum(offset)));
 
    if (less)
        PG_RETURN_BOOL(val <= sum);
    else
        PG_RETURN_BOOL(val >= sum);
}
 
Datum
in_range_interval_interval(PG_FUNCTION_ARGS)
{
    Interval   *val = PG_GETARG_INTERVAL_P(0);
    Interval   *base = PG_GETARG_INTERVAL_P(1);
    Interval   *offset = PG_GETARG_INTERVAL_P(2);
    bool        sub = PG_GETARG_BOOL(3);
    bool        less = PG_GETARG_BOOL(4);
    Interval   *sum;
 
    if (interval_sign(offset) < 0)
        ereport(ERROR,
                (errcode(ERRCODE_INVALID_PRECEDING_OR_FOLLOWING_SIZE),
                 errmsg("invalid preceding or following size in window function")));
 
    /*
     * Deal with cases where both base and offset are infinite, and computing
     * base +/- offset would cause an error.  As for float and numeric types,
     * we assume that all values infinitely precede +infinity and infinitely
     * follow -infinity.  See in_range_float8_float8() for reasoning.
     */
    if (INTERVAL_IS_NOEND(offset) &&
        (sub ? INTERVAL_IS_NOEND(base) : INTERVAL_IS_NOBEGIN(base)))
        PG_RETURN_BOOL(true);
 
    /* We don't currently bother to avoid overflow hazards here */
    if (sub)
        sum = DatumGetIntervalP(DirectFunctionCall2(interval_mi,
                                                    IntervalPGetDatum(base),
                                                    IntervalPGetDatum(offset)));
    else
        sum = DatumGetIntervalP(DirectFunctionCall2(interval_pl,
                                                    IntervalPGetDatum(base),
                                                    IntervalPGetDatum(offset)));
 
    if (less)
        PG_RETURN_BOOL(interval_cmp_internal(val, sum) <= 0);
    else
        PG_RETURN_BOOL(interval_cmp_internal(val, sum) >= 0);
}
 
 
/*
 * Prepare state data for an interval aggregate function, that needs to compute
 * sum and count, in the aggregate's memory context.
 *
 * The function is used when the state data needs to be allocated in aggregate's
 * context. When the state data needs to be allocated in the current memory
 * context, we use palloc0 directly e.g. interval_avg_deserialize().
 */
static IntervalAggState *
makeIntervalAggState(FunctionCallInfo fcinfo)
{
    IntervalAggState *state;
    MemoryContext agg_context;
    MemoryContext old_context;
 
    if (!AggCheckCallContext(fcinfo, &agg_context))
        elog(ERROR, "aggregate function called in non-aggregate context");
 
    old_context = MemoryContextSwitchTo(agg_context);
 
    state = (IntervalAggState *) palloc0(sizeof(IntervalAggState));
 
    MemoryContextSwitchTo(old_context);
 
    return state;
}
 
/*
 * Accumulate a new input value for interval aggregate functions.
 */
static void
do_interval_accum(IntervalAggState *state, Interval *newval)
{
    /* Infinite inputs are counted separately, and do not affect "N" */
    if (INTERVAL_IS_NOBEGIN(newval))
    {
        state->nInfcount++;
        return;
    }
 
    if (INTERVAL_IS_NOEND(newval))
    {
        state->pInfcount++;
        return;
    }
 
    finite_interval_pl(&state->sumX, newval, &state->sumX);
    state->N++;
}
 
/*
 * Remove the given interval value from the aggregated state.
 */
static void
do_interval_discard(IntervalAggState *state, Interval *newval)
{
    /* Infinite inputs are counted separately, and do not affect "N" */
    if (INTERVAL_IS_NOBEGIN(newval))
    {
        state->nInfcount--;
        return;
    }
 
    if (INTERVAL_IS_NOEND(newval))
    {
        state->pInfcount--;
        return;
    }
 
    /* Handle the to-be-discarded finite value. */
    state->N--;
    if (state->N > 0)
        finite_interval_mi(&state->sumX, newval, &state->sumX);
    else
    {
        /* All values discarded, reset the state */
        Assert(state->N == 0);
        memset(&state->sumX, 0, sizeof(state->sumX));
    }
}
 
/*
 * Transition function for sum() and avg() interval aggregates.
 */
Datum
interval_avg_accum(PG_FUNCTION_ARGS)
{
    IntervalAggState *state;
 
    state = PG_ARGISNULL(0) ? NULL : (IntervalAggState *) PG_GETARG_POINTER(0);
 
    /* Create the state data on the first call */
    if (state == NULL)
        state = makeIntervalAggState(fcinfo);
 
    if (!PG_ARGISNULL(1))
        do_interval_accum(state, PG_GETARG_INTERVAL_P(1));
 
    PG_RETURN_POINTER(state);
}
 
/*
 * Combine function for sum() and avg() interval aggregates.
 *
 * Combine the given internal aggregate states and place the combination in
 * the first argument.
 */
Datum
interval_avg_combine(PG_FUNCTION_ARGS)
{
    IntervalAggState *state1;
    IntervalAggState *state2;
 
    state1 = PG_ARGISNULL(0) ? NULL : (IntervalAggState *) PG_GETARG_POINTER(0);
    state2 = PG_ARGISNULL(1) ? NULL : (IntervalAggState *) PG_GETARG_POINTER(1);
 
    if (state2 == NULL)
        PG_RETURN_POINTER(state1);
 
    if (state1 == NULL)
    {
        /* manually copy all fields from state2 to state1 */
        state1 = makeIntervalAggState(fcinfo);
 
        state1->N = state2->N;
        state1->pInfcount = state2->pInfcount;
        state1->nInfcount = state2->nInfcount;
 
        state1->sumX.day = state2->sumX.day;
        state1->sumX.month = state2->sumX.month;
        state1->sumX.time = state2->sumX.time;
 
        PG_RETURN_POINTER(state1);
    }
 
    state1->N += state2->N;
    state1->pInfcount += state2->pInfcount;
    state1->nInfcount += state2->nInfcount;
 
    /* Accumulate finite interval values, if any. */
    if (state2->N > 0)
        finite_interval_pl(&state1->sumX, &state2->sumX, &state1->sumX);
 
    PG_RETURN_POINTER(state1);
}
 
/*
 * interval_avg_serialize
 *      Serialize IntervalAggState for interval aggregates.
 */
Datum
interval_avg_serialize(PG_FUNCTION_ARGS)
{
    IntervalAggState *state;
    StringInfoData buf;
    bytea      *result;
 
    /* Ensure we disallow calling when not in aggregate context */
    if (!AggCheckCallContext(fcinfo, NULL))
        elog(ERROR, "aggregate function called in non-aggregate context");
 
    state = (IntervalAggState *) PG_GETARG_POINTER(0);
 
    pq_begintypsend(&buf);
 
    /* N */
    pq_sendint64(&buf, state->N);
 
    /* sumX */
    pq_sendint64(&buf, state->sumX.time);
    pq_sendint32(&buf, state->sumX.day);
    pq_sendint32(&buf, state->sumX.month);
 
    /* pInfcount */
    pq_sendint64(&buf, state->pInfcount);
 
    /* nInfcount */
    pq_sendint64(&buf, state->nInfcount);
 
    result = pq_endtypsend(&buf);
 
    PG_RETURN_BYTEA_P(result);
}
 
/*
 * interval_avg_deserialize
 *      Deserialize bytea into IntervalAggState for interval aggregates.
 */
Datum
interval_avg_deserialize(PG_FUNCTION_ARGS)
{
    bytea      *sstate;
    IntervalAggState *result;
    StringInfoData buf;
 
    if (!AggCheckCallContext(fcinfo, NULL))
        elog(ERROR, "aggregate function called in non-aggregate context");
 
    sstate = PG_GETARG_BYTEA_PP(0);
 
    /*
     * Initialize a StringInfo so that we can "receive" it using the standard
     * recv-function infrastructure.
     */
    initReadOnlyStringInfo(&buf, VARDATA_ANY(sstate),
                           VARSIZE_ANY_EXHDR(sstate));
 
    result = (IntervalAggState *) palloc0(sizeof(IntervalAggState));
 
    /* N */
    result->N = pq_getmsgint64(&buf);
 
    /* sumX */
    result->sumX.time = pq_getmsgint64(&buf);
    result->sumX.day = pq_getmsgint(&buf, 4);
    result->sumX.month = pq_getmsgint(&buf, 4);
 
    /* pInfcount */
    result->pInfcount = pq_getmsgint64(&buf);
 
    /* nInfcount */
    result->nInfcount = pq_getmsgint64(&buf);
 
    pq_getmsgend(&buf);
 
    PG_RETURN_POINTER(result);
}
 
/*
 * Inverse transition function for sum() and avg() interval aggregates.
 */
Datum
interval_avg_accum_inv(PG_FUNCTION_ARGS)
{
    IntervalAggState *state;
 
    state = PG_ARGISNULL(0) ? NULL : (IntervalAggState *) PG_GETARG_POINTER(0);
 
    /* Should not get here with no state */
    if (state == NULL)
        elog(ERROR, "interval_avg_accum_inv called with NULL state");
 
    if (!PG_ARGISNULL(1))
        do_interval_discard(state, PG_GETARG_INTERVAL_P(1));
 
    PG_RETURN_POINTER(state);
}
 
/* avg(interval) aggregate final function */
Datum
interval_avg(PG_FUNCTION_ARGS)
{
    IntervalAggState *state;
 
    state = PG_ARGISNULL(0) ? NULL : (IntervalAggState *) PG_GETARG_POINTER(0);
 
    /* If there were no non-null inputs, return NULL */
    if (state == NULL || IA_TOTAL_COUNT(state) == 0)
        PG_RETURN_NULL();
 
    /*
     * Aggregating infinities that all have the same sign produces infinity
     * with that sign.  Aggregating infinities with different signs results in
     * an error.
     */
    if (state->pInfcount > 0 || state->nInfcount > 0)
    {
        Interval   *result;
 
        if (state->pInfcount > 0 && state->nInfcount > 0)
            ereport(ERROR,
                    (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                     errmsg("interval out of range")));
 
        result = (Interval *) palloc(sizeof(Interval));
        if (state->pInfcount > 0)
            INTERVAL_NOEND(result);
        else
            INTERVAL_NOBEGIN(result);
 
        PG_RETURN_INTERVAL_P(result);
    }
 
    return DirectFunctionCall2(interval_div,
                               IntervalPGetDatum(&state->sumX),
                               Float8GetDatum((double) state->N));
}
 
/* sum(interval) aggregate final function */
Datum
interval_sum(PG_FUNCTION_ARGS)
{
    IntervalAggState *state;
    Interval   *result;
 
    state = PG_ARGISNULL(0) ? NULL : (IntervalAggState *) PG_GETARG_POINTER(0);
 
    /* If there were no non-null inputs, return NULL */
    if (state == NULL || IA_TOTAL_COUNT(state) == 0)
        PG_RETURN_NULL();
 
    /*
     * Aggregating infinities that all have the same sign produces infinity
     * with that sign.  Aggregating infinities with different signs results in
     * an error.
     */
    if (state->pInfcount > 0 && state->nInfcount > 0)
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                 errmsg("interval out of range")));
 
    result = (Interval *) palloc(sizeof(Interval));
 
    if (state->pInfcount > 0)
        INTERVAL_NOEND(result);
    else if (state->nInfcount > 0)
        INTERVAL_NOBEGIN(result);
    else
        memcpy(result, &state->sumX, sizeof(Interval));
 
    PG_RETURN_INTERVAL_P(result);
}
 
/* timestamp_age()
 * Calculate time difference while retaining year/month fields.
 * Note that this does not result in an accurate absolute time span
 *  since year and month are out of context once the arithmetic
 *  is done.
 */
Datum
timestamp_age(PG_FUNCTION_ARGS)
{
    Timestamp   dt1 = PG_GETARG_TIMESTAMP(0);
    Timestamp   dt2 = PG_GETARG_TIMESTAMP(1);
    Interval   *result;
    fsec_t      fsec1,
                fsec2;
    struct pg_itm tt,
               *tm = &tt;
    struct pg_tm tt1,
               *tm1 = &tt1;
    struct pg_tm tt2,
               *tm2 = &tt2;
 
    result = (Interval *) palloc(sizeof(Interval));
 
    /*
     * Handle infinities.
     *
     * We treat anything that amounts to "infinity - infinity" as an error,
     * since the interval type has nothing equivalent to NaN.
     */
    if (TIMESTAMP_IS_NOBEGIN(dt1))
    {
        if (TIMESTAMP_IS_NOBEGIN(dt2))
            ereport(ERROR,
                    (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                     errmsg("interval out of range")));
        else
            INTERVAL_NOBEGIN(result);
    }
    else if (TIMESTAMP_IS_NOEND(dt1))
    {
        if (TIMESTAMP_IS_NOEND(dt2))
            ereport(ERROR,
                    (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                     errmsg("interval out of range")));
        else
            INTERVAL_NOEND(result);
    }
    else if (TIMESTAMP_IS_NOBEGIN(dt2))
        INTERVAL_NOEND(result);
    else if (TIMESTAMP_IS_NOEND(dt2))
        INTERVAL_NOBEGIN(result);
    else if (timestamp2tm(dt1, NULL, tm1, &fsec1, NULL, NULL) == 0 &&
             timestamp2tm(dt2, NULL, tm2, &fsec2, NULL, NULL) == 0)
    {
        /* form the symbolic difference */
        tm->tm_usec = fsec1 - fsec2;
        tm->tm_sec = tm1->tm_sec - tm2->tm_sec;
        tm->tm_min = tm1->tm_min - tm2->tm_min;
        tm->tm_hour = tm1->tm_hour - tm2->tm_hour;
        tm->tm_mday = tm1->tm_mday - tm2->tm_mday;
        tm->tm_mon = tm1->tm_mon - tm2->tm_mon;
        tm->tm_year = tm1->tm_year - tm2->tm_year;
 
        /* flip sign if necessary... */
        if (dt1 < dt2)
        {
            tm->tm_usec = -tm->tm_usec;
            tm->tm_sec = -tm->tm_sec;
            tm->tm_min = -tm->tm_min;
            tm->tm_hour = -tm->tm_hour;
            tm->tm_mday = -tm->tm_mday;
            tm->tm_mon = -tm->tm_mon;
            tm->tm_year = -tm->tm_year;
        }
 
        /* propagate any negative fields into the next higher field */
        while (tm->tm_usec < 0)
        {
            tm->tm_usec += USECS_PER_SEC;
            tm->tm_sec--;
        }
 
        while (tm->tm_sec < 0)
        {
            tm->tm_sec += SECS_PER_MINUTE;
            tm->tm_min--;
        }
 
        while (tm->tm_min < 0)
        {
            tm->tm_min += MINS_PER_HOUR;
            tm->tm_hour--;
        }
 
        while (tm->tm_hour < 0)
        {
            tm->tm_hour += HOURS_PER_DAY;
            tm->tm_mday--;
        }
 
        while (tm->tm_mday < 0)
        {
            if (dt1 < dt2)
            {
                tm->tm_mday += day_tab[isleap(tm1->tm_year)][tm1->tm_mon - 1];
                tm->tm_mon--;
            }
            else
            {
                tm->tm_mday += day_tab[isleap(tm2->tm_year)][tm2->tm_mon - 1];
                tm->tm_mon--;
            }
        }
 
        while (tm->tm_mon < 0)
        {
            tm->tm_mon += MONTHS_PER_YEAR;
            tm->tm_year--;
        }
 
        /* recover sign if necessary... */
        if (dt1 < dt2)
        {
            tm->tm_usec = -tm->tm_usec;
            tm->tm_sec = -tm->tm_sec;
            tm->tm_min = -tm->tm_min;
            tm->tm_hour = -tm->tm_hour;
            tm->tm_mday = -tm->tm_mday;
            tm->tm_mon = -tm->tm_mon;
            tm->tm_year = -tm->tm_year;
        }
 
        if (itm2interval(tm, result) != 0)
            ereport(ERROR,
                    (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                     errmsg("interval out of range")));
    }
    else
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                 errmsg("timestamp out of range")));
 
    PG_RETURN_INTERVAL_P(result);
}
 
 
/* timestamptz_age()
 * Calculate time difference while retaining year/month fields.
 * Note that this does not result in an accurate absolute time span
 *  since year and month are out of context once the arithmetic
 *  is done.
 */
Datum
timestamptz_age(PG_FUNCTION_ARGS)
{
    TimestampTz dt1 = PG_GETARG_TIMESTAMPTZ(0);
    TimestampTz dt2 = PG_GETARG_TIMESTAMPTZ(1);
    Interval   *result;
    fsec_t      fsec1,
                fsec2;
    struct pg_itm tt,
               *tm = &tt;
    struct pg_tm tt1,
               *tm1 = &tt1;
    struct pg_tm tt2,
               *tm2 = &tt2;
    int         tz1;
    int         tz2;
 
    result = (Interval *) palloc(sizeof(Interval));
 
    /*
     * Handle infinities.
     *
     * We treat anything that amounts to "infinity - infinity" as an error,
     * since the interval type has nothing equivalent to NaN.
     */
    if (TIMESTAMP_IS_NOBEGIN(dt1))
    {
        if (TIMESTAMP_IS_NOBEGIN(dt2))
            ereport(ERROR,
                    (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                     errmsg("interval out of range")));
        else
            INTERVAL_NOBEGIN(result);
    }
    else if (TIMESTAMP_IS_NOEND(dt1))
    {
        if (TIMESTAMP_IS_NOEND(dt2))
            ereport(ERROR,
                    (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                     errmsg("interval out of range")));
        else
            INTERVAL_NOEND(result);
    }
    else if (TIMESTAMP_IS_NOBEGIN(dt2))
        INTERVAL_NOEND(result);
    else if (TIMESTAMP_IS_NOEND(dt2))
        INTERVAL_NOBEGIN(result);
    else if (timestamp2tm(dt1, &tz1, tm1, &fsec1, NULL, NULL) == 0 &&
             timestamp2tm(dt2, &tz2, tm2, &fsec2, NULL, NULL) == 0)
    {
        /* form the symbolic difference */
        tm->tm_usec = fsec1 - fsec2;
        tm->tm_sec = tm1->tm_sec - tm2->tm_sec;
        tm->tm_min = tm1->tm_min - tm2->tm_min;
        tm->tm_hour = tm1->tm_hour - tm2->tm_hour;
        tm->tm_mday = tm1->tm_mday - tm2->tm_mday;
        tm->tm_mon = tm1->tm_mon - tm2->tm_mon;
        tm->tm_year = tm1->tm_year - tm2->tm_year;
 
        /* flip sign if necessary... */
        if (dt1 < dt2)
        {
            tm->tm_usec = -tm->tm_usec;
            tm->tm_sec = -tm->tm_sec;
            tm->tm_min = -tm->tm_min;
            tm->tm_hour = -tm->tm_hour;
            tm->tm_mday = -tm->tm_mday;
            tm->tm_mon = -tm->tm_mon;
            tm->tm_year = -tm->tm_year;
        }
 
        /* propagate any negative fields into the next higher field */
        while (tm->tm_usec < 0)
        {
            tm->tm_usec += USECS_PER_SEC;
            tm->tm_sec--;
        }
 
        while (tm->tm_sec < 0)
        {
            tm->tm_sec += SECS_PER_MINUTE;
            tm->tm_min--;
        }
 
        while (tm->tm_min < 0)
        {
            tm->tm_min += MINS_PER_HOUR;
            tm->tm_hour--;
        }
 
        while (tm->tm_hour < 0)
        {
            tm->tm_hour += HOURS_PER_DAY;
            tm->tm_mday--;
        }
 
        while (tm->tm_mday < 0)
        {
            if (dt1 < dt2)
            {
                tm->tm_mday += day_tab[isleap(tm1->tm_year)][tm1->tm_mon - 1];
                tm->tm_mon--;
            }
            else
            {
                tm->tm_mday += day_tab[isleap(tm2->tm_year)][tm2->tm_mon - 1];
                tm->tm_mon--;
            }
        }
 
        while (tm->tm_mon < 0)
        {
            tm->tm_mon += MONTHS_PER_YEAR;
            tm->tm_year--;
        }
 
        /*
         * Note: we deliberately ignore any difference between tz1 and tz2.
         */
 
        /* recover sign if necessary... */
        if (dt1 < dt2)
        {
            tm->tm_usec = -tm->tm_usec;
            tm->tm_sec = -tm->tm_sec;
            tm->tm_min = -tm->tm_min;
            tm->tm_hour = -tm->tm_hour;
            tm->tm_mday = -tm->tm_mday;
            tm->tm_mon = -tm->tm_mon;
            tm->tm_year = -tm->tm_year;
        }
 
        if (itm2interval(tm, result) != 0)
            ereport(ERROR,
                    (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                     errmsg("interval out of range")));
    }
    else
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                 errmsg("timestamp out of range")));
 
    PG_RETURN_INTERVAL_P(result);
}
 
 
/*----------------------------------------------------------
 *  Conversion operators.
 *---------------------------------------------------------*/
 
 
/* timestamp_bin()
 * Bin timestamp into specified interval.
 */
Datum
timestamp_bin(PG_FUNCTION_ARGS)
{
    Interval   *stride = PG_GETARG_INTERVAL_P(0);
    Timestamp   timestamp = PG_GETARG_TIMESTAMP(1);
    Timestamp   origin = PG_GETARG_TIMESTAMP(2);
    Timestamp   result,
                stride_usecs,
                tm_diff,
                tm_modulo,
                tm_delta;
 
    if (TIMESTAMP_NOT_FINITE(timestamp))
        PG_RETURN_TIMESTAMP(timestamp);
 
    if (TIMESTAMP_NOT_FINITE(origin))
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                 errmsg("origin out of range")));
 
    if (INTERVAL_NOT_FINITE(stride))
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                 errmsg("timestamps cannot be binned into infinite intervals")));
 
    if (stride->month != 0)
        ereport(ERROR,
                (errcode(ERRCODE_FEATURE_NOT_SUPPORTED),
                 errmsg("timestamps cannot be binned into intervals containing months or years")));
 
    if (unlikely(pg_mul_s64_overflow(stride->day, USECS_PER_DAY, &stride_usecs)) ||
        unlikely(pg_add_s64_overflow(stride_usecs, stride->time, &stride_usecs)))
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                 errmsg("interval out of range")));
 
    if (stride_usecs <= 0)
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                 errmsg("stride must be greater than zero")));
 
    if (unlikely(pg_sub_s64_overflow(timestamp, origin, &tm_diff)))
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                 errmsg("interval out of range")));
 
    /* These calculations cannot overflow */
    tm_modulo = tm_diff % stride_usecs;
    tm_delta = tm_diff - tm_modulo;
    result = origin + tm_delta;
 
    /*
     * We want to round towards -infinity, not 0, when tm_diff is negative and
     * not a multiple of stride_usecs.  This adjustment *can* cause overflow,
     * since the result might now be out of the range origin .. timestamp.
     */
    if (tm_modulo < 0)
    {
        if (unlikely(pg_sub_s64_overflow(result, stride_usecs, &result)) ||
            !IS_VALID_TIMESTAMP(result))
            ereport(ERROR,
                    (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                     errmsg("timestamp out of range")));
    }
 
    PG_RETURN_TIMESTAMP(result);
}
 
/* timestamp_trunc()
 * Truncate timestamp to specified units.
 */
Datum
timestamp_trunc(PG_FUNCTION_ARGS)
{
    text       *units = PG_GETARG_TEXT_PP(0);
    Timestamp   timestamp = PG_GETARG_TIMESTAMP(1);
    Timestamp   result;
    int         type,
                val;
    char       *lowunits;
    fsec_t      fsec;
    struct pg_tm tt,
               *tm = &tt;
 
    if (TIMESTAMP_NOT_FINITE(timestamp))
        PG_RETURN_TIMESTAMP(timestamp);
 
    lowunits = downcase_truncate_identifier(VARDATA_ANY(units),
                                            VARSIZE_ANY_EXHDR(units),
                                            false);
 
    type = DecodeUnits(0, lowunits, &val);
 
    if (type == UNITS)
    {
        if (timestamp2tm(timestamp, NULL, tm, &fsec, NULL, NULL) != 0)
            ereport(ERROR,
                    (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                     errmsg("timestamp out of range")));
 
        switch (val)
        {
            case DTK_WEEK:
                {
                    int         woy;
 
                    woy = date2isoweek(tm->tm_year, tm->tm_mon, tm->tm_mday);
 
                    /*
                     * If it is week 52/53 and the month is January, then the
                     * week must belong to the previous year. Also, some
                     * December dates belong to the next year.
                     */
                    if (woy >= 52 && tm->tm_mon == 1)
                        --tm->tm_year;
                    if (woy <= 1 && tm->tm_mon == MONTHS_PER_YEAR)
                        ++tm->tm_year;
                    isoweek2date(woy, &(tm->tm_year), &(tm->tm_mon), &(tm->tm_mday));
                    tm->tm_hour = 0;
                    tm->tm_min = 0;
                    tm->tm_sec = 0;
                    fsec = 0;
                    break;
                }
            case DTK_MILLENNIUM:
                /* see comments in timestamptz_trunc */
                if (tm->tm_year > 0)
                    tm->tm_year = ((tm->tm_year + 999) / 1000) * 1000 - 999;
                else
                    tm->tm_year = -((999 - (tm->tm_year - 1)) / 1000) * 1000 + 1;
                /* FALL THRU */
            case DTK_CENTURY:
                /* see comments in timestamptz_trunc */
                if (tm->tm_year > 0)
                    tm->tm_year = ((tm->tm_year + 99) / 100) * 100 - 99;
                else
                    tm->tm_year = -((99 - (tm->tm_year - 1)) / 100) * 100 + 1;
                /* FALL THRU */
            case DTK_DECADE:
                /* see comments in timestamptz_trunc */
                if (val != DTK_MILLENNIUM && val != DTK_CENTURY)
                {
                    if (tm->tm_year > 0)
                        tm->tm_year = (tm->tm_year / 10) * 10;
                    else
                        tm->tm_year = -((8 - (tm->tm_year - 1)) / 10) * 10;
                }
                /* FALL THRU */
            case DTK_YEAR:
                tm->tm_mon = 1;
                /* FALL THRU */
            case DTK_QUARTER:
                tm->tm_mon = (3 * ((tm->tm_mon - 1) / 3)) + 1;
                /* FALL THRU */
            case DTK_MONTH:
                tm->tm_mday = 1;
                /* FALL THRU */
            case DTK_DAY:
                tm->tm_hour = 0;
                /* FALL THRU */
            case DTK_HOUR:
                tm->tm_min = 0;
                /* FALL THRU */
            case DTK_MINUTE:
                tm->tm_sec = 0;
                /* FALL THRU */
            case DTK_SECOND:
                fsec = 0;
                break;
 
            case DTK_MILLISEC:
                fsec = (fsec / 1000) * 1000;
                break;
 
            case DTK_MICROSEC:
                break;
 
            default:
                ereport(ERROR,
                        (errcode(ERRCODE_FEATURE_NOT_SUPPORTED),
                         errmsg("unit \"%s\" not supported for type %s",
                                lowunits, format_type_be(TIMESTAMPOID))));
                result = 0;
        }
 
        if (tm2timestamp(tm, fsec, NULL, &result) != 0)
            ereport(ERROR,
                    (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                     errmsg("timestamp out of range")));
    }
    else
    {
        ereport(ERROR,
                (errcode(ERRCODE_INVALID_PARAMETER_VALUE),
                 errmsg("unit \"%s\" not recognized for type %s",
                        lowunits, format_type_be(TIMESTAMPOID))));
        result = 0;
    }
 
    PG_RETURN_TIMESTAMP(result);
}
 
/* timestamptz_bin()
 * Bin timestamptz into specified interval using specified origin.
 */
Datum
timestamptz_bin(PG_FUNCTION_ARGS)
{
    Interval   *stride = PG_GETARG_INTERVAL_P(0);
    TimestampTz timestamp = PG_GETARG_TIMESTAMPTZ(1);
    TimestampTz origin = PG_GETARG_TIMESTAMPTZ(2);
    TimestampTz result,
                stride_usecs,
                tm_diff,
                tm_modulo,
                tm_delta;
 
    if (TIMESTAMP_NOT_FINITE(timestamp))
        PG_RETURN_TIMESTAMPTZ(timestamp);
 
    if (TIMESTAMP_NOT_FINITE(origin))
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                 errmsg("origin out of range")));
 
    if (INTERVAL_NOT_FINITE(stride))
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                 errmsg("timestamps cannot be binned into infinite intervals")));
 
    if (stride->month != 0)
        ereport(ERROR,
                (errcode(ERRCODE_FEATURE_NOT_SUPPORTED),
                 errmsg("timestamps cannot be binned into intervals containing months or years")));
 
    if (unlikely(pg_mul_s64_overflow(stride->day, USECS_PER_DAY, &stride_usecs)) ||
        unlikely(pg_add_s64_overflow(stride_usecs, stride->time, &stride_usecs)))
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                 errmsg("interval out of range")));
 
    if (stride_usecs <= 0)
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                 errmsg("stride must be greater than zero")));
 
    if (unlikely(pg_sub_s64_overflow(timestamp, origin, &tm_diff)))
        ereport(ERROR,
                (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                 errmsg("interval out of range")));
 
    /* These calculations cannot overflow */
    tm_modulo = tm_diff % stride_usecs;
    tm_delta = tm_diff - tm_modulo;
    result = origin + tm_delta;
 
    /*
     * We want to round towards -infinity, not 0, when tm_diff is negative and
     * not a multiple of stride_usecs.  This adjustment *can* cause overflow,
     * since the result might now be out of the range origin .. timestamp.
     */
    if (tm_modulo < 0)
    {
        if (unlikely(pg_sub_s64_overflow(result, stride_usecs, &result)) ||
            !IS_VALID_TIMESTAMP(result))
            ereport(ERROR,
                    (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                     errmsg("timestamp out of range")));
    }
 
    PG_RETURN_TIMESTAMPTZ(result);
}
 
/*
 * Common code for timestamptz_trunc() and timestamptz_trunc_zone().
 *
 * tzp identifies the zone to truncate with respect to.  We assume
 * infinite timestamps have already been rejected.
 */
static TimestampTz
timestamptz_trunc_internal(text *units, TimestampTz timestamp, pg_tz *tzp)
{
    TimestampTz result;
    int         tz;
    int         type,
                val;
    bool        redotz = false;
    char       *lowunits;
    fsec_t      fsec;
    struct pg_tm tt,
               *tm = &tt;
 
    lowunits = downcase_truncate_identifier(VARDATA_ANY(units),
                                            VARSIZE_ANY_EXHDR(units),
                                            false);
 
    type = DecodeUnits(0, lowunits, &val);
 
    if (type == UNITS)
    {
        if (timestamp2tm(timestamp, &tz, tm, &fsec, NULL, tzp) != 0)
            ereport(ERROR,
                    (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                     errmsg("timestamp out of range")));
 
        switch (val)
        {
            case DTK_WEEK:
                {
                    int         woy;
 
                    woy = date2isoweek(tm->tm_year, tm->tm_mon, tm->tm_mday);
 
                    /*
                     * If it is week 52/53 and the month is January, then the
                     * week must belong to the previous year. Also, some
                     * December dates belong to the next year.
                     */
                    if (woy >= 52 && tm->tm_mon == 1)
                        --tm->tm_year;
                    if (woy <= 1 && tm->tm_mon == MONTHS_PER_YEAR)
                        ++tm->tm_year;
                    isoweek2date(woy, &(tm->tm_year), &(tm->tm_mon), &(tm->tm_mday));
                    tm->tm_hour = 0;
                    tm->tm_min = 0;
                    tm->tm_sec = 0;
                    fsec = 0;
                    redotz = true;
                    break;
                }
                /* one may consider DTK_THOUSAND and DTK_HUNDRED... */
            case DTK_MILLENNIUM:
 
                /*
                 * truncating to the millennium? what is this supposed to
                 * mean? let us put the first year of the millennium... i.e.
                 * -1000, 1, 1001, 2001...
                 */
                if (tm->tm_year > 0)
                    tm->tm_year = ((tm->tm_year + 999) / 1000) * 1000 - 999;
                else
                    tm->tm_year = -((999 - (tm->tm_year - 1)) / 1000) * 1000 + 1;
                /* FALL THRU */
            case DTK_CENTURY:
                /* truncating to the century? as above: -100, 1, 101... */
                if (tm->tm_year > 0)
                    tm->tm_year = ((tm->tm_year + 99) / 100) * 100 - 99;
                else
                    tm->tm_year = -((99 - (tm->tm_year - 1)) / 100) * 100 + 1;
                /* FALL THRU */
            case DTK_DECADE:
 
                /*
                 * truncating to the decade? first year of the decade. must
                 * not be applied if year was truncated before!
                 */
                if (val != DTK_MILLENNIUM && val != DTK_CENTURY)
                {
                    if (tm->tm_year > 0)
                        tm->tm_year = (tm->tm_year / 10) * 10;
                    else
                        tm->tm_year = -((8 - (tm->tm_year - 1)) / 10) * 10;
                }
                /* FALL THRU */
            case DTK_YEAR:
                tm->tm_mon = 1;
                /* FALL THRU */
            case DTK_QUARTER:
                tm->tm_mon = (3 * ((tm->tm_mon - 1) / 3)) + 1;
                /* FALL THRU */
            case DTK_MONTH:
                tm->tm_mday = 1;
                /* FALL THRU */
            case DTK_DAY:
                tm->tm_hour = 0;
                redotz = true;  /* for all cases >= DAY */
                /* FALL THRU */
            case DTK_HOUR:
                tm->tm_min = 0;
                /* FALL THRU */
            case DTK_MINUTE:
                tm->tm_sec = 0;
                /* FALL THRU */
            case DTK_SECOND:
                fsec = 0;
                break;
            case DTK_MILLISEC:
                fsec = (fsec / 1000) * 1000;
                break;
            case DTK_MICROSEC:
                break;
 
            default:
                ereport(ERROR,
                        (errcode(ERRCODE_FEATURE_NOT_SUPPORTED),
                         errmsg("unit \"%s\" not supported for type %s",
                                lowunits, format_type_be(TIMESTAMPTZOID))));
                result = 0;
        }
 
        if (redotz)
            tz = DetermineTimeZoneOffset(tm, tzp);
 
        if (tm2timestamp(tm, fsec, &tz, &result) != 0)
            ereport(ERROR,
                    (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                     errmsg("timestamp out of range")));
    }
    else
    {
        ereport(ERROR,
                (errcode(ERRCODE_INVALID_PARAMETER_VALUE),
                 errmsg("unit \"%s\" not recognized for type %s",
                        lowunits, format_type_be(TIMESTAMPTZOID))));
        result = 0;
    }
 
    return result;
}
 
/* timestamptz_trunc()
 * Truncate timestamptz to specified units in session timezone.
 */
Datum
timestamptz_trunc(PG_FUNCTION_ARGS)
{
    text       *units = PG_GETARG_TEXT_PP(0);
    TimestampTz timestamp = PG_GETARG_TIMESTAMPTZ(1);
    TimestampTz result;
 
    if (TIMESTAMP_NOT_FINITE(timestamp))
        PG_RETURN_TIMESTAMPTZ(timestamp);
 
    result = timestamptz_trunc_internal(units, timestamp, session_timezone);
 
    PG_RETURN_TIMESTAMPTZ(result);
}
 
/* timestamptz_trunc_zone()
 * Truncate timestamptz to specified units in specified timezone.
 */
Datum
timestamptz_trunc_zone(PG_FUNCTION_ARGS)
{
    text       *units = PG_GETARG_TEXT_PP(0);
    TimestampTz timestamp = PG_GETARG_TIMESTAMPTZ(1);
    text       *zone = PG_GETARG_TEXT_PP(2);
    TimestampTz result;
    pg_tz      *tzp;
 
    /*
     * timestamptz_zone() doesn't look up the zone for infinite inputs, so we
     * don't do so here either.
     */
    if (TIMESTAMP_NOT_FINITE(timestamp))
        PG_RETURN_TIMESTAMP(timestamp);
 
    /*
     * Look up the requested timezone.
     */
    tzp = lookup_timezone(zone);
 
    result = timestamptz_trunc_internal(units, timestamp, tzp);
 
    PG_RETURN_TIMESTAMPTZ(result);
}
 
/* interval_trunc()
 * Extract specified field from interval.
 */
Datum
interval_trunc(PG_FUNCTION_ARGS)
{
    text       *units = PG_GETARG_TEXT_PP(0);
    Interval   *interval = PG_GETARG_INTERVAL_P(1);
    Interval   *result;
    int         type,
                val;
    char       *lowunits;
    struct pg_itm tt,
               *tm = &tt;
 
    result = (Interval *) palloc(sizeof(Interval));
 
    if (INTERVAL_NOT_FINITE(interval))
    {
        memcpy(result, interval, sizeof(Interval));
        PG_RETURN_INTERVAL_P(result);
    }
 
    lowunits = downcase_truncate_identifier(VARDATA_ANY(units),
                                            VARSIZE_ANY_EXHDR(units),
                                            false);
 
    type = DecodeUnits(0, lowunits, &val);
 
    if (type == UNITS)
    {
        interval2itm(*interval, tm);
        switch (val)
        {
            case DTK_MILLENNIUM:
                /* caution: C division may have negative remainder */
                tm->tm_year = (tm->tm_year / 1000) * 1000;
                /* FALL THRU */
            case DTK_CENTURY:
                /* caution: C division may have negative remainder */
                tm->tm_year = (tm->tm_year / 100) * 100;
                /* FALL THRU */
            case DTK_DECADE:
                /* caution: C division may have negative remainder */
                tm->tm_year = (tm->tm_year / 10) * 10;
                /* FALL THRU */
            case DTK_YEAR:
                tm->tm_mon = 0;
                /* FALL THRU */
            case DTK_QUARTER:
                tm->tm_mon = 3 * (tm->tm_mon / 3);
                /* FALL THRU */
            case DTK_MONTH:
                tm->tm_mday = 0;
                /* FALL THRU */
            case DTK_DAY:
                tm->tm_hour = 0;
                /* FALL THRU */
            case DTK_HOUR:
                tm->tm_min = 0;
                /* FALL THRU */
            case DTK_MINUTE:
                tm->tm_sec = 0;
                /* FALL THRU */
            case DTK_SECOND:
                tm->tm_usec = 0;
                break;
            case DTK_MILLISEC:
                tm->tm_usec = (tm->tm_usec / 1000) * 1000;
                break;
            case DTK_MICROSEC:
                break;
 
            default:
                ereport(ERROR,
                        (errcode(ERRCODE_FEATURE_NOT_SUPPORTED),
                         errmsg("unit \"%s\" not supported for type %s",
                                lowunits, format_type_be(INTERVALOID)),
                         (val == DTK_WEEK) ? errdetail("Months usually have fractional weeks.") : 0));
        }
 
        if (itm2interval(tm, result) != 0)
            ereport(ERROR,
                    (errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
                     errmsg("interval out of range")));
    }
    else
    {
        ereport(ERROR,
                (errcode(ERRCODE_INVALID_PARAMETER_VALUE),
                 errmsg("unit \"%s\" not recognized for type %s",
                        lowunits, format_type_be(INTERVALOID))));
    }
 
    PG_RETURN_INTERVAL_P(result);
}
 
/* isoweek2j()
 *
 *  Return the Julian day which corresponds to the first day (Monday) of the given ISO 8601 year and week.
 *  Julian days are used to convert between ISO week dates and Gregorian dates.
 *
 *  XXX: This function has integer overflow hazards, but restructuring it to
 *  work with the soft-error handling that its callers do is likely more
 *  trouble than it's worth.
 */
int
isoweek2j(int year, int week)
{
    int         day0,
                day4;
 
    /* fourth day of current year */
    day4 = date2j(year, 1, 4);
 
    /* day0 == offset to first day of week (Monday) */
    day0 = j2day(day4 - 1);
 
    return ((week - 1) * 7) + (day4 - day0);
}
 
/* isoweek2date()
 * Convert ISO week of year number to date.
 * The year field must be specified with the ISO year!
 * karel 2000/08/07
 */
void
isoweek2date(int woy, int *year, int *mon, int *mday)
{
    j2date(isoweek2j(*year, woy), year, mon, mday);
}
 
/* isoweekdate2date()
 *
 *  Convert an ISO 8601 week date (ISO year, ISO week) into a Gregorian date.
 *  Gregorian day of week sent so weekday strings can be supplied.
 *  Populates year, mon, and mday with the correct Gregorian values.
 *  year must be passed in as the ISO year.
 */
void
isoweekdate2date(int isoweek, int wday, int *year, int *mon, int *mday)
{
    int         jday;
 
    jday = isoweek2j(*year, isoweek);
    /* convert Gregorian week start (Sunday=1) to ISO week start (Monday=1) */
    if (wday > 1)
        jday += wday - 2;
    else
        jday += 6;
    j2date(jday, year, mon, mday);
}
 
/* date2isoweek()
 *
 *  Returns ISO week number of year.
 */
int
date2isoweek(int year, int mon, int mday)
{
    float8      result;
    int         day0,
                day4,
                dayn;
 
    /* current day */
    dayn = date2j(year, mon, mday);
 
    /* fourth day of current year */
    day4 = date2j(year, 1, 4);
 
    /* day0 == offset to first day of week (Monday) */
    day0 = j2day(day4 - 1);
 
    /*
     * We need the first week containing a Thursday, otherwise this day falls
     * into the previous year for purposes of counting weeks
     */
    if (dayn < day4 - day0)
    {
        day4 = date2j(year - 1, 1, 4);
 
        /* day0 == offset to first day of week (Monday) */
        day0 = j2day(day4 - 1);
    }
 
    result = (dayn - (day4 - day0)) / 7 + 1;
 
    /*
     * Sometimes the last few days in a year will fall into the first week of
     * the next year, so check for this.
     */
    if (result >= 52)
    {
        day4 = date2j(year + 1, 1, 4);
 
        /* day0 == offset to first day of week (Monday) */
        day0 = j2day(day4 - 1);
 
        if (dayn >= day4 - day0)
            result = (dayn - (day4 - day0)) / 7 + 1;
    }
 
    return (int) result;
}
 
 
/* date2isoyear()
 *
 *  Returns ISO 8601 year number.
 *  Note: zero or negative results follow the year-zero-exists convention.
 */
int
date2isoyear(int year, int mon, int mday)
{
    float8      result;
    int         day0,
                day4,
                dayn;
 
    /* current day */
    dayn = date2j(year, mon, mday);
 
    /* fourth day of current year */
    day4 = date2j(year, 1, 4);
 
    /* day0 == offset to first day of week (Monday) */
    day0 = j2day(day4 - 1);
 
    /*
     * We need the first week containing a Thursday, otherwise this day falls
     * into the previous year for purposes of counting weeks
     */
    if (dayn < day4 - day0)
    {
        day4 = date2j(year - 1, 1, 4);
 
        /* day0 == offset to first day of week (Monday) */
        day0 = j2day(day4 - 1);
 
        year--;
    }
 
    result = (dayn - (day4 - day0)) / 7 + 1;
 
    /*
     * Sometimes the last few days in a year will fall into the first week of
     * the next year, so check for this.
     */
    if (result >= 52)
    {
        day4 = date2j(year + 1, 1, 4);
 
        /* day0 == offset to first day of week (Monday) */
        day0 = j2day(day4 - 1);
 
        if (dayn >= day4 - day0)
            year++;
    }
 
    return year;
}
 
 
/* date2isoyearday()
 *
 *  Returns the ISO 8601 day-of-year, given a Gregorian year, month and day.
 *  Possible return values are 1 through 371 (364 in non-leap years).
 */
int
date2isoyearday(int year, int mon, int mday)
{
    return date2j(year, mon, mday) - isoweek2j(date2isoyear(year, mon, mday), 1) + 1;
}
 
/*
 * NonFiniteTimestampTzPart
 *
 *  Used by timestamp_part and timestamptz_part when extracting from infinite
 *  timestamp[tz].  Returns +/-Infinity if that is the appropriate result,
 *  otherwise returns zero (which should be taken as meaning to return NULL).
 *
 *  Errors thrown here for invalid units should exactly match those that
 *  would be thrown in the calling functions, else there will be unexpected
 *  discrepancies between finite- and infinite-input cases.