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JavaScript

import when from "../ThirdParty/when.js";
import binarySearch from "./binarySearch.js";
import defaultValue from "./defaultValue.js";
import defined from "./defined.js";
import EarthOrientationParametersSample from "./EarthOrientationParametersSample.js";
import JulianDate from "./JulianDate.js";
import LeapSecond from "./LeapSecond.js";
import Resource from "./Resource.js";
import RuntimeError from "./RuntimeError.js";
import TimeConstants from "./TimeConstants.js";
import TimeStandard from "./TimeStandard.js";
/**
* Specifies Earth polar motion coordinates and the difference between UT1 and UTC.
* These Earth Orientation Parameters (EOP) are primarily used in the transformation from
* the International Celestial Reference Frame (ICRF) to the International Terrestrial
* Reference Frame (ITRF).
*
* @alias EarthOrientationParameters
* @constructor
*
* @param {Object} [options] Object with the following properties:
* @param {Resource|String} [options.url] The URL from which to obtain EOP data. If neither this
* parameter nor options.data is specified, all EOP values are assumed
* to be 0.0. If options.data is specified, this parameter is
* ignored.
* @param {Object} [options.data] The actual EOP data. If neither this
* parameter nor options.data is specified, all EOP values are assumed
* to be 0.0.
* @param {Boolean} [options.addNewLeapSeconds=true] True if leap seconds that
* are specified in the EOP data but not in {@link JulianDate.leapSeconds}
* should be added to {@link JulianDate.leapSeconds}. False if
* new leap seconds should be handled correctly in the context
* of the EOP data but otherwise ignored.
*
* @example
* // An example EOP data file, EOP.json:
* {
* "columnNames" : ["dateIso8601","modifiedJulianDateUtc","xPoleWanderRadians","yPoleWanderRadians","ut1MinusUtcSeconds","lengthOfDayCorrectionSeconds","xCelestialPoleOffsetRadians","yCelestialPoleOffsetRadians","taiMinusUtcSeconds"],
* "samples" : [
* "2011-07-01T00:00:00Z",55743.0,2.117957047295119e-7,2.111518721609984e-6,-0.2908948,-2.956e-4,3.393695767766752e-11,3.3452143996557983e-10,34.0,
* "2011-07-02T00:00:00Z",55744.0,2.193297093339541e-7,2.115460256837405e-6,-0.29065,-1.824e-4,-8.241832578862112e-11,5.623838700870617e-10,34.0,
* "2011-07-03T00:00:00Z",55745.0,2.262286080161428e-7,2.1191157519929706e-6,-0.2905572,1.9e-6,-3.490658503988659e-10,6.981317007977318e-10,34.0
* ]
* }
*
* @example
* // Loading the EOP data
* var eop = new Cesium.EarthOrientationParameters({ url : 'Data/EOP.json' });
* Cesium.Transforms.earthOrientationParameters = eop;
*
* @private
*/
function EarthOrientationParameters(options) {
options = defaultValue(options, defaultValue.EMPTY_OBJECT);
this._dates = undefined;
this._samples = undefined;
this._dateColumn = -1;
this._xPoleWanderRadiansColumn = -1;
this._yPoleWanderRadiansColumn = -1;
this._ut1MinusUtcSecondsColumn = -1;
this._xCelestialPoleOffsetRadiansColumn = -1;
this._yCelestialPoleOffsetRadiansColumn = -1;
this._taiMinusUtcSecondsColumn = -1;
this._columnCount = 0;
this._lastIndex = -1;
this._downloadPromise = undefined;
this._dataError = undefined;
this._addNewLeapSeconds = defaultValue(options.addNewLeapSeconds, true);
if (defined(options.data)) {
// Use supplied EOP data.
onDataReady(this, options.data);
} else if (defined(options.url)) {
var resource = Resource.createIfNeeded(options.url);
// Download EOP data.
var that = this;
this._downloadPromise = resource
.fetchJson()
.then(function (eopData) {
onDataReady(that, eopData);
})
.otherwise(function () {
that._dataError =
"An error occurred while retrieving the EOP data from the URL " +
resource.url +
".";
});
} else {
// Use all zeros for EOP data.
onDataReady(this, {
columnNames: [
"dateIso8601",
"modifiedJulianDateUtc",
"xPoleWanderRadians",
"yPoleWanderRadians",
"ut1MinusUtcSeconds",
"lengthOfDayCorrectionSeconds",
"xCelestialPoleOffsetRadians",
"yCelestialPoleOffsetRadians",
"taiMinusUtcSeconds",
],
samples: [],
});
}
}
/**
* A default {@link EarthOrientationParameters} instance that returns zero for all EOP values.
*/
EarthOrientationParameters.NONE = Object.freeze({
getPromiseToLoad: function () {
return when.resolve();
},
compute: function (date, result) {
if (!defined(result)) {
result = new EarthOrientationParametersSample(0.0, 0.0, 0.0, 0.0, 0.0);
} else {
result.xPoleWander = 0.0;
result.yPoleWander = 0.0;
result.xPoleOffset = 0.0;
result.yPoleOffset = 0.0;
result.ut1MinusUtc = 0.0;
}
return result;
},
});
/**
* Gets a promise that, when resolved, indicates that the EOP data has been loaded and is
* ready to use.
*
* @returns {Promise<void>} The promise.
*/
EarthOrientationParameters.prototype.getPromiseToLoad = function () {
return when(this._downloadPromise);
};
/**
* Computes the Earth Orientation Parameters (EOP) for a given date by interpolating.
* If the EOP data has not yet been download, this method returns undefined.
*
* @param {JulianDate} date The date for each to evaluate the EOP.
* @param {EarthOrientationParametersSample} [result] The instance to which to copy the result.
* If this parameter is undefined, a new instance is created and returned.
* @returns {EarthOrientationParametersSample} The EOP evaluated at the given date, or
* undefined if the data necessary to evaluate EOP at the date has not yet been
* downloaded.
*
* @exception {RuntimeError} The loaded EOP data has an error and cannot be used.
*
* @see EarthOrientationParameters#getPromiseToLoad
*/
EarthOrientationParameters.prototype.compute = function (date, result) {
// We cannot compute until the samples are available.
if (!defined(this._samples)) {
if (defined(this._dataError)) {
throw new RuntimeError(this._dataError);
}
return undefined;
}
if (!defined(result)) {
result = new EarthOrientationParametersSample(0.0, 0.0, 0.0, 0.0, 0.0);
}
if (this._samples.length === 0) {
result.xPoleWander = 0.0;
result.yPoleWander = 0.0;
result.xPoleOffset = 0.0;
result.yPoleOffset = 0.0;
result.ut1MinusUtc = 0.0;
return result;
}
var dates = this._dates;
var lastIndex = this._lastIndex;
var before = 0;
var after = 0;
if (defined(lastIndex)) {
var previousIndexDate = dates[lastIndex];
var nextIndexDate = dates[lastIndex + 1];
var isAfterPrevious = JulianDate.lessThanOrEquals(previousIndexDate, date);
var isAfterLastSample = !defined(nextIndexDate);
var isBeforeNext =
isAfterLastSample || JulianDate.greaterThanOrEquals(nextIndexDate, date);
if (isAfterPrevious && isBeforeNext) {
before = lastIndex;
if (!isAfterLastSample && nextIndexDate.equals(date)) {
++before;
}
after = before + 1;
interpolate(this, dates, this._samples, date, before, after, result);
return result;
}
}
var index = binarySearch(dates, date, JulianDate.compare, this._dateColumn);
if (index >= 0) {
// If the next entry is the same date, use the later entry. This way, if two entries
// describe the same moment, one before a leap second and the other after, then we will use
// the post-leap second data.
if (index < dates.length - 1 && dates[index + 1].equals(date)) {
++index;
}
before = index;
after = index;
} else {
after = ~index;
before = after - 1;
// Use the first entry if the date requested is before the beginning of the data.
if (before < 0) {
before = 0;
}
}
this._lastIndex = before;
interpolate(this, dates, this._samples, date, before, after, result);
return result;
};
function compareLeapSecondDates(leapSecond, dateToFind) {
return JulianDate.compare(leapSecond.julianDate, dateToFind);
}
function onDataReady(eop, eopData) {
if (!defined(eopData.columnNames)) {
eop._dataError =
"Error in loaded EOP data: The columnNames property is required.";
return;
}
if (!defined(eopData.samples)) {
eop._dataError =
"Error in loaded EOP data: The samples property is required.";
return;
}
var dateColumn = eopData.columnNames.indexOf("modifiedJulianDateUtc");
var xPoleWanderRadiansColumn = eopData.columnNames.indexOf(
"xPoleWanderRadians"
);
var yPoleWanderRadiansColumn = eopData.columnNames.indexOf(
"yPoleWanderRadians"
);
var ut1MinusUtcSecondsColumn = eopData.columnNames.indexOf(
"ut1MinusUtcSeconds"
);
var xCelestialPoleOffsetRadiansColumn = eopData.columnNames.indexOf(
"xCelestialPoleOffsetRadians"
);
var yCelestialPoleOffsetRadiansColumn = eopData.columnNames.indexOf(
"yCelestialPoleOffsetRadians"
);
var taiMinusUtcSecondsColumn = eopData.columnNames.indexOf(
"taiMinusUtcSeconds"
);
if (
dateColumn < 0 ||
xPoleWanderRadiansColumn < 0 ||
yPoleWanderRadiansColumn < 0 ||
ut1MinusUtcSecondsColumn < 0 ||
xCelestialPoleOffsetRadiansColumn < 0 ||
yCelestialPoleOffsetRadiansColumn < 0 ||
taiMinusUtcSecondsColumn < 0
) {
eop._dataError =
"Error in loaded EOP data: The columnNames property must include modifiedJulianDateUtc, xPoleWanderRadians, yPoleWanderRadians, ut1MinusUtcSeconds, xCelestialPoleOffsetRadians, yCelestialPoleOffsetRadians, and taiMinusUtcSeconds columns";
return;
}
var samples = (eop._samples = eopData.samples);
var dates = (eop._dates = []);
eop._dateColumn = dateColumn;
eop._xPoleWanderRadiansColumn = xPoleWanderRadiansColumn;
eop._yPoleWanderRadiansColumn = yPoleWanderRadiansColumn;
eop._ut1MinusUtcSecondsColumn = ut1MinusUtcSecondsColumn;
eop._xCelestialPoleOffsetRadiansColumn = xCelestialPoleOffsetRadiansColumn;
eop._yCelestialPoleOffsetRadiansColumn = yCelestialPoleOffsetRadiansColumn;
eop._taiMinusUtcSecondsColumn = taiMinusUtcSecondsColumn;
eop._columnCount = eopData.columnNames.length;
eop._lastIndex = undefined;
var lastTaiMinusUtc;
var addNewLeapSeconds = eop._addNewLeapSeconds;
// Convert the ISO8601 dates to JulianDates.
for (var i = 0, len = samples.length; i < len; i += eop._columnCount) {
var mjd = samples[i + dateColumn];
var taiMinusUtc = samples[i + taiMinusUtcSecondsColumn];
var day = mjd + TimeConstants.MODIFIED_JULIAN_DATE_DIFFERENCE;
var date = new JulianDate(day, taiMinusUtc, TimeStandard.TAI);
dates.push(date);
if (addNewLeapSeconds) {
if (taiMinusUtc !== lastTaiMinusUtc && defined(lastTaiMinusUtc)) {
// We crossed a leap second boundary, so add the leap second
// if it does not already exist.
var leapSeconds = JulianDate.leapSeconds;
var leapSecondIndex = binarySearch(
leapSeconds,
date,
compareLeapSecondDates
);
if (leapSecondIndex < 0) {
var leapSecond = new LeapSecond(date, taiMinusUtc);
leapSeconds.splice(~leapSecondIndex, 0, leapSecond);
}
}
lastTaiMinusUtc = taiMinusUtc;
}
}
}
function fillResultFromIndex(eop, samples, index, columnCount, result) {
var start = index * columnCount;
result.xPoleWander = samples[start + eop._xPoleWanderRadiansColumn];
result.yPoleWander = samples[start + eop._yPoleWanderRadiansColumn];
result.xPoleOffset = samples[start + eop._xCelestialPoleOffsetRadiansColumn];
result.yPoleOffset = samples[start + eop._yCelestialPoleOffsetRadiansColumn];
result.ut1MinusUtc = samples[start + eop._ut1MinusUtcSecondsColumn];
}
function linearInterp(dx, y1, y2) {
return y1 + dx * (y2 - y1);
}
function interpolate(eop, dates, samples, date, before, after, result) {
var columnCount = eop._columnCount;
// First check the bounds on the EOP data
// If we are after the bounds of the data, return zeros.
// The 'before' index should never be less than zero.
if (after > dates.length - 1) {
result.xPoleWander = 0;
result.yPoleWander = 0;
result.xPoleOffset = 0;
result.yPoleOffset = 0;
result.ut1MinusUtc = 0;
return result;
}
var beforeDate = dates[before];
var afterDate = dates[after];
if (beforeDate.equals(afterDate) || date.equals(beforeDate)) {
fillResultFromIndex(eop, samples, before, columnCount, result);
return result;
} else if (date.equals(afterDate)) {
fillResultFromIndex(eop, samples, after, columnCount, result);
return result;
}
var factor =
JulianDate.secondsDifference(date, beforeDate) /
JulianDate.secondsDifference(afterDate, beforeDate);
var startBefore = before * columnCount;
var startAfter = after * columnCount;
// Handle UT1 leap second edge case
var beforeUt1MinusUtc = samples[startBefore + eop._ut1MinusUtcSecondsColumn];
var afterUt1MinusUtc = samples[startAfter + eop._ut1MinusUtcSecondsColumn];
var offsetDifference = afterUt1MinusUtc - beforeUt1MinusUtc;
if (offsetDifference > 0.5 || offsetDifference < -0.5) {
// The absolute difference between the values is more than 0.5, so we may have
// crossed a leap second. Check if this is the case and, if so, adjust the
// afterValue to account for the leap second. This way, our interpolation will
// produce reasonable results.
var beforeTaiMinusUtc =
samples[startBefore + eop._taiMinusUtcSecondsColumn];
var afterTaiMinusUtc = samples[startAfter + eop._taiMinusUtcSecondsColumn];
if (beforeTaiMinusUtc !== afterTaiMinusUtc) {
if (afterDate.equals(date)) {
// If we are at the end of the leap second interval, take the second value
// Otherwise, the interpolation below will yield the wrong side of the
// discontinuity
// At the end of the leap second, we need to start accounting for the jump
beforeUt1MinusUtc = afterUt1MinusUtc;
} else {
// Otherwise, remove the leap second so that the interpolation is correct
afterUt1MinusUtc -= afterTaiMinusUtc - beforeTaiMinusUtc;
}
}
}
result.xPoleWander = linearInterp(
factor,
samples[startBefore + eop._xPoleWanderRadiansColumn],
samples[startAfter + eop._xPoleWanderRadiansColumn]
);
result.yPoleWander = linearInterp(
factor,
samples[startBefore + eop._yPoleWanderRadiansColumn],
samples[startAfter + eop._yPoleWanderRadiansColumn]
);
result.xPoleOffset = linearInterp(
factor,
samples[startBefore + eop._xCelestialPoleOffsetRadiansColumn],
samples[startAfter + eop._xCelestialPoleOffsetRadiansColumn]
);
result.yPoleOffset = linearInterp(
factor,
samples[startBefore + eop._yCelestialPoleOffsetRadiansColumn],
samples[startAfter + eop._yCelestialPoleOffsetRadiansColumn]
);
result.ut1MinusUtc = linearInterp(
factor,
beforeUt1MinusUtc,
afterUt1MinusUtc
);
return result;
}
export default EarthOrientationParameters;