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148 lines
4.9 KiB
Go
148 lines
4.9 KiB
Go
package xlsx
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import (
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"math"
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"time"
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)
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const (
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MJD_0 float64 = 2400000.5
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MJD_JD2000 float64 = 51544.5
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secondsInADay = float64((24*time.Hour)/time.Second)
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nanosInADay = float64((24*time.Hour)/time.Nanosecond)
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)
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var (
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timeLocationUTC, _ = time.LoadLocation("UTC")
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unixEpoc = time.Date(1970, time.January, 1, 0, 0, 0, 0, time.UTC)
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// In 1900 mode, Excel takes dates in floating point numbers of days starting with Jan 1 1900.
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// The days are not zero indexed, so Jan 1 1900 would be 1.
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// Except that Excel pretends that Feb 29, 1900 occurred to be compatible with a bug in Lotus 123.
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// So, this constant uses Dec 30, 1899 instead of Jan 1, 1900, so the diff will be correct.
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// http://www.cpearson.com/excel/datetime.htm
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excel1900Epoc = time.Date(1899, time.December, 30, 0, 0, 0, 0, time.UTC)
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excel1904Epoc = time.Date(1904, time.January, 1, 0, 0, 0, 0, time.UTC)
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// Days between epocs, including both off by one errors for 1900.
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daysBetween1970And1900 = float64(unixEpoc.Sub(excel1900Epoc)/(24 * time.Hour))
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daysBetween1970And1904 = float64(unixEpoc.Sub(excel1904Epoc)/(24 * time.Hour))
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)
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func TimeToUTCTime(t time.Time) time.Time {
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return time.Date(t.Year(), t.Month(), t.Day(), t.Hour(), t.Minute(), t.Second(), t.Nanosecond(), timeLocationUTC)
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}
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func shiftJulianToNoon(julianDays, julianFraction float64) (float64, float64) {
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switch {
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case -0.5 < julianFraction && julianFraction < 0.5:
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julianFraction += 0.5
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case julianFraction >= 0.5:
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julianDays += 1
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julianFraction -= 0.5
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case julianFraction <= -0.5:
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julianDays -= 1
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julianFraction += 1.5
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}
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return julianDays, julianFraction
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}
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// Return the integer values for hour, minutes, seconds and
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// nanoseconds that comprised a given fraction of a day.
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// values would round to 1 us.
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func fractionOfADay(fraction float64) (hours, minutes, seconds, nanoseconds int) {
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const (
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c1us = 1e3
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c1s = 1e9
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c1day = 24 * 60 * 60 * c1s
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)
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frac := int64(c1day*fraction + c1us/2)
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nanoseconds = int((frac%c1s)/c1us) * c1us
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frac /= c1s
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seconds = int(frac % 60)
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frac /= 60
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minutes = int(frac % 60)
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hours = int(frac / 60)
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return
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}
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func julianDateToGregorianTime(part1, part2 float64) time.Time {
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part1I, part1F := math.Modf(part1)
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part2I, part2F := math.Modf(part2)
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julianDays := part1I + part2I
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julianFraction := part1F + part2F
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julianDays, julianFraction = shiftJulianToNoon(julianDays, julianFraction)
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day, month, year := doTheFliegelAndVanFlandernAlgorithm(int(julianDays))
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hours, minutes, seconds, nanoseconds := fractionOfADay(julianFraction)
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return time.Date(year, time.Month(month), day, hours, minutes, seconds, nanoseconds, time.UTC)
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}
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// By this point generations of programmers have repeated the
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// algorithm sent to the editor of "Communications of the ACM" in 1968
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// (published in CACM, volume 11, number 10, October 1968, p.657).
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// None of those programmers seems to have found it necessary to
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// explain the constants or variable names set out by Henry F. Fliegel
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// and Thomas C. Van Flandern. Maybe one day I'll buy that jounal and
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// expand an explanation here - that day is not today.
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func doTheFliegelAndVanFlandernAlgorithm(jd int) (day, month, year int) {
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l := jd + 68569
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n := (4 * l) / 146097
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l = l - (146097*n+3)/4
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i := (4000 * (l + 1)) / 1461001
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l = l - (1461*i)/4 + 31
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j := (80 * l) / 2447
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d := l - (2447*j)/80
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l = j / 11
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m := j + 2 - (12 * l)
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y := 100*(n-49) + i + l
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return d, m, y
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}
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// Convert an excelTime representation (stored as a floating point number) to a time.Time.
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func TimeFromExcelTime(excelTime float64, date1904 bool) time.Time {
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var date time.Time
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var wholeDaysPart = int(excelTime)
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// Excel uses Julian dates prior to March 1st 1900, and
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// Gregorian thereafter.
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if wholeDaysPart <= 61 {
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const OFFSET1900 = 15018.0
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const OFFSET1904 = 16480.0
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var date time.Time
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if date1904 {
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date = julianDateToGregorianTime(MJD_0, excelTime+OFFSET1904)
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} else {
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date = julianDateToGregorianTime(MJD_0, excelTime+OFFSET1900)
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}
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return date
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}
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var floatPart = excelTime - float64(wholeDaysPart)
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if date1904 {
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date = excel1904Epoc
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} else {
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date = excel1900Epoc
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}
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durationPart := time.Duration(nanosInADay * floatPart)
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return date.AddDate(0,0, wholeDaysPart).Add(durationPart)
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}
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// TimeToExcelTime will convert a time.Time into Excel's float representation, in either 1900 or 1904
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// mode. If you don't know which to use, set date1904 to false.
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// TODO should this should handle Julian dates?
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func TimeToExcelTime(t time.Time, date1904 bool) float64 {
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// Get the number of days since the unix epoc
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daysSinceUnixEpoc := float64(t.Unix())/secondsInADay
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// Get the number of nanoseconds in days since Unix() is in seconds.
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nanosPart := float64(t.Nanosecond())/nanosInADay
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// Add both together plus the number of days difference between unix and Excel epocs.
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var offsetDays float64
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if date1904 {
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offsetDays = daysBetween1970And1904
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} else {
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offsetDays = daysBetween1970And1900
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}
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daysSinceExcelEpoc := daysSinceUnixEpoc + offsetDays + nanosPart
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return daysSinceExcelEpoc
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}
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