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The WorldWind Kotlin SDK (WWK) includes the library, examples and tutorials for building multiplatform 3D virtual globe applications for Android, Web and Java.
package earth.worldwind.geom
import earth.worldwind.util.Logger.ERROR
import earth.worldwind.util.Logger.logMessage
import earth.worldwind.util.format.format
import kotlin.jvm.JvmInline
import kotlin.jvm.JvmStatic
import kotlin.math.*
@JvmInline
value class Angle private constructor(
/**
* Size of this angle in degrees.
*/
val inDegrees: Double
): Comparable {
/**
* Size of this angle in radians. This may be useful for functions, which
* generally take radians as trigonometric arguments.
*/
val inRadians get() = toRadians(inDegrees)
/**
* Size of this angle in minutes.
*/
val inMinutes get() = toMinutes(inDegrees)
/**
* Size of this angle in seconds.
*/
val inSeconds get() = toSeconds(inDegrees)
/**
* Size of this angle in milliradians.
*/
val inMrad get() = toMrad(inDegrees)
/**
* Size of this angle in mil NATO.
*/
val inMilNATO get() = toMilNATO(inDegrees)
/**
* Size of this angle in mil Warsaw Pact.
*/
val inMilWP get() = toMilWP(inDegrees)
/**
* Size of this angle in Streck.
*/
val inStreck get() = toStreck(inDegrees)
/**
* Size of this angle in minute of angle (MOA).
*/
val inMOA get() = toMOA(inDegrees)
/**
* Indicates whether this angle is within the normal range of latitude, [-90, 90].
*/
val isValidLatitude get() = isValidLatitude(inDegrees)
/**
* Indicates whether this angle is within the normal range of longitude, [-180, 180].
*/
val isValidLongitude get() = isValidLongitude(inDegrees)
/**
* Return North or South notation depends on sign
*/
val latitudeLetter get() = if (inDegrees < 0.0) "S" else "N"
/**
* Return West or East notation depends on sign
*/
val longitudeLetter get() = if (inDegrees < 0.0) "W" else "E"
/**
* Relative latitude (from wiki.openstreetmap.org)
*/
val relativeLatitude get() = (1 - ln(tan(inRadians) + 1 / cos(inRadians)) / PI) / 2
/**
* Relative longitude (from wiki.openstreetmap.org)
*/
val relativeLongitude get() = (inDegrees + 180.0) / 360.0
companion object {
/** Represents an angle of zero degrees */
@JvmStatic val ZERO = 0.0.degrees
/** Represents a right angle of positive 90 degrees */
@JvmStatic val POS90 = 90.0.degrees
/** Represents a right angle of negative 90 degrees */
@JvmStatic val NEG90 = (-90.0).degrees
/** Represents an angle of positive 180 degrees */
@JvmStatic val POS180 = 180.0.degrees
/** Represents an angle of negative 180 degrees */
@JvmStatic val NEG180 = (-180.0).degrees
/** Represents an angle of positive 360 degrees */
@JvmStatic val POS360 = 360.0.degrees
/** Represents an angle of negative 360 degrees */
@JvmStatic val NEG360 = (-360.0).degrees
/** Represents an angle of 1 minute */
@JvmStatic val MINUTE = (1.0 / 60.0).degrees
/** Represents an angle of 1 second */
@JvmStatic val SECOND = (1.0 / 3600.0).degrees
/**
* Conversion factor for degrees to radians.
*/
const val DEGREES_TO_RADIANS = PI / 180.0
/**
* Conversion factor for radians to degrees.
*/
const val RADIANS_TO_DEGREES = 180.0 / PI
/**
* Conversion factor for degrees to minutes.
*/
const val DEGREES_TO_MINUTES = 60.0
/**
* Conversion factor for minutes to degrees.
*/
const val MINUTES_TO_DEGREES = 1.0 / 60.0
/**
* Conversion factor for degrees to seconds.
*/
const val DEGREES_TO_SECONDS = 3600.0
/**
* Conversion factor for seconds to degrees.
*/
const val SECONDS_TO_DEGREES = 1.0 / 3600.0
/**
* Conversion factor for degrees to milliradians.
*/
const val DEGREES_TO_MRAD = PI * 2.0 / 360.0
/**
* Conversion factor for milliradians to degrees.
*/
const val MRAD_TO_DEGREES = 360.0 / PI / 2.0
/**
* Conversion factor for degrees to milliradians (NATO).
*/
const val DEGREES_TO_MIL_NATO = 6400.0 / 360.0
/**
* Conversion factor for milliradians (NATO) to degrees.
*/
const val MIL_NATO_TO_DEGREES = 360.0 / 6400.0
/**
* Conversion factor for degrees to milliradians (Warsaw Pact).
*/
const val DEGREES_TO_MIL_WP = 6000.0 / 360.0
/**
* Conversion factor for milliradians (Warsaw Pact) to degrees.
*/
const val MIL_WP_TO_DEGREES = 360.0 / 6000.0
/**
* Conversion factor for degrees to milliradians (Sweden).
*/
const val DEGREES_TO_STRECK = 6300.0 / 360.0
/**
* Conversion factor for milliradians (Sweden) to degrees.
*/
const val STRECK_TO_DEGREES = 360.0 / 6000.0
/**
* Conversion factor for degrees to minute of angle (MOA).
*/
const val DEGREES_TO_MOA = 21600.0 / 360.0
/**
* Conversion factor for minute of angle (MOA) to degrees.
*/
const val MOA_TO_DEGREES = 360.0 / 21600.0
/**
* Returns an Angle equal to this Double number in degrees.
*/
inline val Double.degrees get() = fromDegrees(this)
/**
* Returns an Angle equal to this Double number in radians.
*/
inline val Double.radians get() = fromRadians(this)
/**
* Returns an Angle equal to this Double number in minutes.
*/
inline val Double.minutes get() = fromMinutes(this)
/**
* Returns an Angle equal to this Double number in seconds.
*/
inline val Double.seconds get() = fromSeconds(this)
/**
* Returns an Angle equal to this Double number in milliradians.
*/
inline val Double.mrad get() = fromMrad(this)
/**
* Returns an Angle equal to this Double number in mil NATO.
*/
inline val Double.milNATO get() = fromMilNATO(this)
/**
* Returns an Angle equal to this Double number in mil Warsaw Pact.
*/
inline val Double.milWP get() = fromMilWP(this)
/**
* Returns an Angle equal to this Double number in Streck.
*/
inline val Double.streck get() = fromStreck(this)
/**
* Returns an Angle equal to this Double number in minute of angle (MOA).
*/
inline val Double.MOA get() = fromMOA(this)
/**
* Convert radians to degrees
*
* @param radians value in radians
*
* @return value in degrees
*/
@JvmStatic fun toDegrees(radians: Double) = radians * RADIANS_TO_DEGREES
/**
* Convert degrees to radians
*
* @param degrees value in degrees
*
* @return value in radians
*/
@JvmStatic fun toRadians(degrees: Double) = degrees * DEGREES_TO_RADIANS
/**
* Convert degrees to minutes
*
* @param degrees value in degrees
*
* @return value in minutes
*/
@JvmStatic fun toMinutes(degrees: Double) = degrees * DEGREES_TO_MINUTES
/**
* Convert degrees to seconds
*
* @param degrees value in degrees
*
* @return value in seconds
*/
@JvmStatic fun toSeconds(degrees: Double) = degrees * DEGREES_TO_SECONDS
/**
* Convert degrees to milliradians
*
* @param degrees value in degrees
*
* @return value in milliradians
*/
@JvmStatic fun toMrad(degrees: Double) = degrees * DEGREES_TO_MRAD
/**
* Convert degrees to mil NATO
*
* @param degrees value in degrees
*
* @return value in mil NATO
*/
@JvmStatic fun toMilNATO(degrees: Double) = degrees * DEGREES_TO_MIL_NATO
/**
* Convert degrees to mil Warsaw Pact
*
* @param degrees value in degrees
*
* @return value in mil Warsaw Pact
*/
@JvmStatic fun toMilWP(degrees: Double) = degrees * DEGREES_TO_MIL_WP
/**
* Convert degrees to Streck
*
* @param degrees value in degrees
*
* @return value in mil Streck
*/
@JvmStatic fun toStreck(degrees: Double) = degrees * DEGREES_TO_STRECK
/**
* Convert degrees to minute of angle (MOA)
*
* @param degrees value in degrees
*
* @return value in minute of angle (MOA)
*/
@JvmStatic fun toMOA(degrees: Double) = degrees * DEGREES_TO_MOA
/**
* Obtains an angle from a specified number of degrees.
*
* @param degrees the size in degrees of the angle to be obtained
*
* @return a new angle, whose size in degrees is given by [degrees]
*/
@JvmStatic fun fromDegrees(degrees: Double) = Angle(degrees)
/**
* Obtains an angle from a specified number of radians.
*
* @param radians the size in radians of the angle to be obtained.
*
* @return a new angle, whose size in radians is given by [radians].
*/
@JvmStatic fun fromRadians(radians: Double) = Angle(radians * RADIANS_TO_DEGREES)
/**
* Obtains an angle from a specified number of minutes.
*
* @param minutes the size in minutes of the angle to be obtained.
*
* @return a new angle, whose size in minutes is given by [minutes].
*/
@JvmStatic fun fromMinutes(minutes: Double) = Angle(minutes * MINUTES_TO_DEGREES)
/**
* Obtains an angle from a specified number of seconds.
*
* @param seconds the size in seconds of the angle to be obtained.
*
* @return a new angle, whose size in seconds is given by [seconds].
*/
@JvmStatic fun fromSeconds(seconds: Double) = Angle(seconds * SECONDS_TO_DEGREES)
/**
* Obtains an angle from a specified number of milliradians.
*
* @param mrad the size in milliradians of the angle to be obtained.
*
* @return a new angle, whose size in milliradians is given by [mrad].
*/
@JvmStatic fun fromMrad(mrad: Double) = Angle(mrad * MRAD_TO_DEGREES)
/**
* Obtains an angle from a specified number of mil NATO.
*
* @param milNATO the size in mil NATO of the angle to be obtained.
*
* @return a new angle, whose size in mil NATO is given by [milNATO].
*/
@JvmStatic fun fromMilNATO(milNATO: Double) = Angle(milNATO * MIL_NATO_TO_DEGREES)
/**
* Obtains an angle from a specified number of mil Warsaw Pact.
*
* @param milWP the size in mil WP of the angle to be obtained.
*
* @return a new angle, whose size in mil WP is given by [milWP].
*/
@JvmStatic fun fromMilWP(milWP: Double) = Angle(milWP * MIL_WP_TO_DEGREES)
/**
* Obtains an angle from a specified number of Streck.
*
* @param streck the size in Streck of the angle to be obtained.
*
* @return a new angle, whose size in Streck is given by [streck].
*/
@JvmStatic fun fromStreck(streck: Double) = Angle(streck * STRECK_TO_DEGREES)
/**
* Obtains an angle from a specified number of minute of angle (MOA).
*
* @param moa the size in MOA of the angle to be obtained.
*
* @return a new angle, whose size in MOA is given by [moa].
*/
@JvmStatic fun fromMOA(moa: Double) = Angle(moa * MOA_TO_DEGREES)
/**
* Obtains an angle from rectangular coordinates.
*
* @param x the abscissa coordinate.
* @param y the ordinate coordinate.
*
* @return a new angle, whose size is determined from `x` and `y`.
*/
@JvmStatic fun fromXY(x: Double, y: Double) = atan2(y, x).radians
/**
* Obtain an angle from a given number of positive degrees, minutes and seconds.
*
* @param degrees integer number of degrees, positive.
* @param minutes integer number of minutes, positive only between 0 and 60.
* @param seconds integer number of seconds, positive only between 0 and 60.
*
* @return a new angle whose size in degrees is given by `degrees`, `minutes` and `seconds`.
*
* @throws IllegalArgumentException if minutes or seconds are outside the 0-60 range or the degrees is negative.
*/
@JvmStatic
fun fromDMS(degrees: Int, minutes: Int, seconds: Double): Angle {
require(degrees >= 0) {
logMessage(ERROR, "Angle", "fromDMS", "invalidDegrees")
}
require(minutes in 0 until 60) {
logMessage(ERROR, "Angle", "fromDMS", "invalidMinutes")
}
require(seconds >= 0 && seconds < 60) {
logMessage(ERROR, "Angle", "fromDMS", "invalidSeconds")
}
return fromDegrees(degrees + minutes / 60.0 + seconds / 3600.0)
}
/**
* Obtain an angle from a given number of positive degrees and decimal minutes.
*
* @param degrees integer number of degrees, positive.
* @param minutes double representing the decimal representation of minutes and seconds.
*
* @return a new angle whose size in degrees is given by `degrees` and decimal `minutes`.
*
* @throws IllegalArgumentException if minutes or seconds are outside the 0-60 range or the degrees is negative.
*/
@JvmStatic
fun fromDM(degrees: Int, minutes: Double): Angle {
require(degrees >= 0) {
logMessage(ERROR, "Angle", "fromDM", "invalidDegrees")
}
require(minutes >= 0 && minutes < 60) {
logMessage(ERROR, "Angle", "fromDM", "invalidMinutes")
}
return fromDegrees(degrees + minutes / 60.0)
}
/**
* Obtain an angle from a degrees, minute and seconds character string.
*
* eg:
* 123 34 42
* -123* 34' 42" (where * stands for the degree symbol)
* +45* 12' 30" (where * stands for the degree symbol)
* 45 12 30 S
* 45 12 30 N
*
* For a string containing both a sign and compass direction, the compass direction will take precedence.
*
* @param dmsString the degrees, minute and second character string.
*
* @return the corresponding angle.
*
* @throws IllegalArgumentException if dmsString is not properly formatted.
*/
@JvmStatic
fun fromDMS(dmsString: String): Angle {
var dms = dmsString
// Check for string format validity
val regex = Regex("([-+]?\\d{1,3}[dD°\\s](\\s*\\d{1,2}['’\\s])?(\\s*\\d{1,2}[\"”\\s])?\\s*([NnSsEeWw])?\\s?)")
require(regex.matches("$dms ")) {
logMessage(ERROR, "Angle", "fromDMS", "invalidFormat")
}
// Replace degree, min and sec signs with space
dms = dms.replace("[Dd°'’\"”]".toRegex(), " ")
// Replace multiple spaces with single ones
dms = dms.replace("\\s+".toRegex(), " ")
dms = dms.trim { it <= ' ' }
// Check for sign prefix and suffix
var sign = 1
val suffix = dms.uppercase()[dms.length - 1]
val prefix = dms[0]
if (!suffix.isDigit()) {
sign = if (suffix == 'S' || suffix == 'W') -1 else 1
dms = dms.substring(0, dms.length - 1)
dms = dms.trim { it <= ' ' }
// check and trim the prefix if it is erroneously included
if (!prefix.isDigit()) {
dms = dms.substring(1, dms.length)
dms = dms.trim { it <= ' ' }
}
} else if (!prefix.isDigit()) {
sign *= if (prefix == '-') -1 else 1
dms = dms.substring(1, dms.length)
}
// Extract degrees, minutes and seconds
val dmsArray = dms.split(" ")
val d = dmsArray[0].toInt()
val m = if (dmsArray.size > 1) dmsArray[1].toInt() else 0
val s = if (dmsArray.size > 2) dmsArray[2].toDouble() else 0.0
return fromDMS(d, m, s) * sign.toDouble()
}
/**
* Restricts an angle to the range [-180, +180] degrees, wrapping angles outside the range. Wrapping takes place as
* though traversing the edge of a unit circle; angles less than -180 wrap back to +180, while angles greater than
* +180 wrap back to -180.
*
* @param degrees the angle to wrap in degrees
*
* @return the specified angle wrapped to [-180, +180] degrees
*/
@JvmStatic
fun normalizeAngle180(degrees: Double): Double {
val angle = degrees % 360
return if (angle > 180) angle - 360 else if (angle < -180) 360 + angle else angle
}
/**
* Restricts an angle to the range [0, 360] degrees, wrapping angles outside the range. Wrapping takes place as
* though traversing the edge of a unit circle; angles less than 0 wrap back to 360, while angles greater than 360
* wrap back to 0.
*
* @param degrees the angle to wrap in degrees
*
* @return the specified angle wrapped to [0, 360] degrees
*/
@JvmStatic
fun normalizeAngle360(degrees: Double): Double {
val angle = degrees % 360
return if (angle >= 0) angle else 360 + angle
}
/**
* Restricts an angle to the range [-90, +90] degrees, wrapping angles outside the range. Wrapping takes place along
* a line of constant longitude which may pass through the poles. In which case, 135 degrees normalizes to 45
* degrees; 181 degrees normalizes to -1 degree.
*
* @param degrees the angle to wrap in degrees
*
* @return the specified angle wrapped to the range [-90, +90] degrees
*/
@JvmStatic
fun normalizeLatitude(degrees: Double): Double {
val lat = degrees % 180
val normalizedLat = if (lat > 90) 180 - lat else if (lat < -90) -180 - lat else lat
// Determine whether the latitude is in the north or south hemisphere
val numEquatorCrosses = (degrees / 180).toInt()
return if (numEquatorCrosses % 2 == 0) normalizedLat else -normalizedLat
}
/**
* Restricts an angle to the range [-180, +180] degrees, wrapping angles outside the range. Wrapping takes place as
* though traversing a line of constant latitude which may pass through the antimeridian; angles less than -180 wrap
* back to +180, while angles greater than +180 wrap back to -180.
*
* @param degrees the angle to wrap in degrees
*
* @return the specified angle wrapped to the range [-180, +180] degrees
*/
@JvmStatic
fun normalizeLongitude(degrees: Double): Double {
val lon = degrees % 360
return if (lon > 180) lon - 360 else if (lon < -180) 360 + lon else lon
}
/**
* Restricts an angle to the range [-180, +180] degrees, clamping angles outside the range. Angles less than -180
* are returned as -180, and angles greater than +180 are returned as +180. Angles within the range are returned
* unmodified.
*
* @param degrees the angle to clamp in degrees
*
* @return the specified angle clamped to the range [-180, +180] degrees
*/
@JvmStatic
fun clampAngle180(degrees: Double) = degrees.coerceIn(-180.0, 180.0)
/**
* Restricts an angle to the range [0, 360] degrees, clamping angles outside the range. Angles less than 0 are
* returned as 0, and angles greater than 360 are returned as 360. Angles within the range are returned unmodified.
*
* @param degrees the angle to clamp in degrees
*
* @return the specified angle clamped to the range [0, 360] degrees
*/
@JvmStatic
fun clampAngle360(degrees: Double) = degrees.coerceIn(0.0, 360.0)
/**
* Restricts an angle to the range [-90, +90] degrees, clamping angles outside the range. Angles less than -90 are
* returned as -90, and angles greater than +90 are returned as +90. Angles within the range are returned
* unmodified.
*
* @param degrees the angle to clamp in degrees
*
* @return the specified angle clamped to the range [-90, +90] degrees
*/
@JvmStatic
fun clampLatitude(degrees: Double) = degrees.coerceIn(-90.0, 90.0)
/**
* Restricts an angle to the range [-180, +180] degrees, clamping angles outside the range. Angles less than -180
* are returned as 0, and angles greater than +180 are returned as +180. Angles within the range are returned
* unmodified.
*
* @param degrees the angle to clamp in degrees
*
* @return the specified angle clamped to the range [-180, +180] degrees
*/
@JvmStatic
fun clampLongitude(degrees: Double) = degrees.coerceIn(-180.0, 180.0)
/**
* Computes the linear interpolation of two angles in the range [-180, +180] degrees according to a specified
* fractional amount. The fractional amount is interpreted as a relative proportion of the two angles, where 0.0
* indicates the first angle, 0.5 indicates an angle half way between the two angles, and 1.0 indicates the second
* angle.
*
* The result of this method is undefined if the amount is outside the range [0, 1].
*
* @param amount the fractional proportion of the two angles in the range [0, 1]
* @param angle1 the first angle in degrees
* @param angle2 the second angle in degrees
*
* @return the interpolated angle in the range [-180, +180] degrees
*/
@JvmStatic
fun interpolateAngle180(amount: Double, angle1: Angle, angle2: Angle): Angle {
// Normalize the two angles to the range [-180, +180].
var normalizedAngle1 = normalizeAngle180(angle1.inDegrees)
var normalizedAngle2 = normalizeAngle180(angle2.inDegrees)
// If the shortest arc between the two angles crosses the -180/+180 degree boundary, add 360 degrees to the
// smaller of the two angles then interpolate.
if (normalizedAngle1 - normalizedAngle2 > 180) normalizedAngle2 += 360.0
else if (normalizedAngle1 - normalizedAngle2 < -180) normalizedAngle1 += 360.0
// Linearly interpolate between the two angles then normalize the interpolated result. Normalizing the result is
// necessary when we have added 360 degrees to either angle in order to interpolate along the shortest arc.
val angle = (1 - amount) * normalizedAngle1 + amount * normalizedAngle2
return normalizeAngle180(angle).degrees
}
/**
* Computes the linear interpolation of two angles in the range [0, 360] degrees according to a specified fractional
* amount. The fractional amount is interpreted as a relative proportion of the two angles, where 0.0 indicates the
* first angle, 0.5 indicates an angle half way between the two angles, and 1.0 indicates the second angle.
*
* The result of this method is undefined if the amount is outside the range [0, 1].
*
* @param amount the fractional proportion of the two angles in the range [0, 1]
* @param angle1 the first angle
* @param angle2 the second angle
*
* @return the interpolated angle in the range [0, 360] degrees
*/
@JvmStatic
fun interpolateAngle360(amount: Double, angle1: Angle, angle2: Angle): Angle {
// Normalize the two angles to the range [-180, +180].
var normalizedAngle1 = normalizeAngle180(angle1.inDegrees)
var normalizedAngle2 = normalizeAngle180(angle2.inDegrees)
// If the shortest arc between the two angles crosses the -180/+180 degree boundary, add 360 degrees to the
// smaller of the two angles then interpolate.
if (normalizedAngle1 - normalizedAngle2 > 180) normalizedAngle2 += 360.0
else if (normalizedAngle1 - normalizedAngle2 < -180) normalizedAngle1 += 360.0
// Linearly interpolate between the two angles then normalize the interpolated result. Normalizing the result is
// necessary when we have added 360 degrees to either angle in order to interpolate along the shortest arc.
val angle = (1 - amount) * normalizedAngle1 + amount * normalizedAngle2
return normalizeAngle360(angle).degrees
}
/**
* Obtains the average of two angles. This method is commutative, so `midAngle(m, n)` and
* `midAngle(n, m)` are equivalent.
*
* @param a1 the first angle.
* @param a2 the second angle.
*
* @return the average of `a1` and `a2`
*/
@JvmStatic
fun average(a1: Angle, a2: Angle) = fromDegrees(0.5 * (a1.inDegrees + a2.inDegrees))
@JvmStatic
fun max(a: Angle, b: Angle) = if (a.inDegrees >= b.inDegrees) a else b
@JvmStatic
fun min(a: Angle, b: Angle) = if (a.inDegrees <= b.inDegrees) a else b
/**
* Indicates whether a specified value is within the normal range of latitude, [-90, 90].
* @param degrees The value to test, in degrees.
* @returns true if the value is within the normal range of latitude, otherwise false.
*/
@JvmStatic
fun isValidLatitude(degrees: Double) = degrees >= -90 && degrees <= 90
/**
* Indicates whether a specified value is within the normal range of longitude, [-180, 180].
* @param degrees The value to test, in degrees.
* @returns true if the value is within the normal range of longitude, otherwise false.
*/
@JvmStatic
fun isValidLongitude(degrees: Double) = degrees >= -180 && degrees <= 180
}
init {
// NaN value is not suppoted due to unpredictable `compareTo(NaN)` behavior
require(!inDegrees.isNaN()) {
logMessage(ERROR, "Angle", "init", "NaN is not supported!")
}
}
/**
* Obtains the sum of these two angles.
* This method is commutative, so `a.add(b)` and `b.add(a)` are equivalent.
* Neither this angle nor angle is changed, instead the result is returned as a new angle.
*
* @param angle the angle to add to this one.
*
* @return an angle whose size is the total of these angles and angles size.
*/
operator fun plus(angle: Angle) = fromDegrees(inDegrees + angle.inDegrees)
fun plusDegrees(degrees: Double) = fromDegrees(this.inDegrees + degrees)
fun plusRadians(radians: Double) = fromRadians(this.inRadians + radians)
/**
* Obtains the difference of these two angles. This method is not commutative.
* Neither this angle nor angle is changed, instead the result is returned as a new angle.
*
* @param angle the angle to subtract from this angle.
*
* @return a new angle corresponding to this angle's size minus angle's size.
*/
operator fun minus(angle: Angle) = fromDegrees(inDegrees - angle.inDegrees)
fun minusDegrees(degrees: Double) = fromDegrees(this.inDegrees - degrees)
fun minusRadians(radians: Double) = fromRadians(this.inRadians - radians)
/**
* Multiplies this angle by another angle.
* This method is commutative, so `a.multiply(b)` and `b.multiply(a)` are equivalent.
* This angle remains unchanged. The result is returned as a new angle.
*
* @param angle the angle by which to multiply.
*
* @return a new angle whose size equals this angle's size multiplied by angle's size.
*/
operator fun times(angle: Angle) = this * angle.inDegrees
/**
* Multiplies this angle by `multiplier`.
* This method is commutative, so `a.multiply(b)` and `b.multiply(a)` are equivalent.
* This angle remains unchanged. The result is returned as a new angle.
*
* @param multiplier a scalar by which this angle is multiplied.
*
* @return a new angle whose size equals this angle's size multiplied by `multiplier`.
*/
operator fun times(multiplier: Number) = fromDegrees(inDegrees * multiplier.toDouble())
/**
* Divides this angle by another angle.
* This angle remains unchanged. The result is returned as a new angle.
*
* @param angle the angle by which to divide.
*
* @return this angle's degrees divided by angle's degrees.
*/
operator fun div(angle: Angle) = this / angle.inDegrees
/**
* Divides this angle by another angle.
* This angle remains unchanged. The result is returned as a new angle.
*
* @param divisor a scalar by which to divide.
*
* @return this angle's degrees divided by divisor.
*/
operator fun div(divisor: Number): Angle {
require(divisor != 0.0) {
logMessage(ERROR, "Angle", "div", "divideByZero")
}
return fromDegrees(inDegrees / divisor.toDouble())
}
/**
* Returns new angle with opposite sign.
*/
operator fun unaryMinus() = Angle(-inDegrees)
/**
* Computes the shortest distance between this and angle, as an angle.
*
* @param angle the angle to measure angular distance to.
*
* @return the angular distance between this and `value`.
*/
fun distanceTo(angle: Angle): Angle {
var distance = angle.inDegrees - inDegrees
if (distance < -180) distance += 360.0 else if (distance > 180) distance -= 360.0
return abs(distance).degrees
}
fun normalize180() = if (inDegrees in -180.0..180.0) this else normalizeAngle180(inDegrees).degrees
fun normalize360() = if (inDegrees in 0.0..360.0) this else normalizeAngle360(inDegrees).degrees
fun normalizeLatitude() = if (inDegrees in -90.0..90.0) this else normalizeLatitude(inDegrees).degrees
fun normalizeLongitude() = if (inDegrees in -180.0..180.0) this else normalizeLongitude(inDegrees).degrees
fun clampAngle180() = inDegrees.coerceIn(-180.0, 180.0).degrees
fun clampAngle360() = inDegrees.coerceIn(0.0, 360.0).degrees
fun clampLatitude() = inDegrees.coerceIn(-90.0, 90.0).degrees
fun clampLongitude() = inDegrees.coerceIn(-180.0, 180.0).degrees
fun toDMS(): DoubleArray {
var angle = inDegrees
val sign = sign(angle)
angle *= sign
var d = floor(angle)
angle = (angle - d) * 60.0
var m = floor(angle)
angle = (angle - m) * 60.0
var s = round(angle * 100) / 100 // keep two decimals for seconds
if (s == 60.0) {
m++
s = 0.0
}
if (m == 60.0) {
d++
m = 0.0
}
return doubleArrayOf(sign, d, m, s)
}
/**
* Forms a decimal degrees [String] representation of this [Angle].
*
* @param digits the number of digits past the decimal point to include in the string.
*
* @return the value of this angle in decimal degrees as a string with the specified number of digits beyond the
* decimal point. The string is padded with trailing zeros to fill the number of post-decimal point
* positions requested.
*/
fun toDDString(digits: Int = 6): String {
require(digits in 0..15) {
logMessage(ERROR, "Angle", "toDecimalDegreesString", "outOfRange")
}
return "%.${digits}f°".format(inDegrees)
}
/**
* Obtains a [String] representation of this [Angle] formatted as degrees and decimal minutes.
*
* @param digits the number of digits past the decimal point to include in the string.
*
* @return the value of this angle in degrees and decimal minutes as a string.
*/
fun toDMString(digits: Int = 3): String {
val dms = toDMS()
val mf = if (dms[3] == 0.0) dms[2] else dms[2] + dms[3] / 60.0
return "${if (dms[0] < 0) "-" else ""}%d° %2.${digits}f’".format(dms[1], mf)
}
/**
* Obtains a [String] representation of this [Angle] formatted as degrees, minutes and seconds.
*
* @param digits the number of digits past the decimal point to include in the string.
*
* @return the value of this angle in degrees, minutes and seconds as a string.
*/
fun toDMSString(digits: Int = 1): String {
val dms = toDMS()
return "${if (dms[0] < 0) "-" else ""}%d° %2d’ %2.${digits}f”".format(dms[1], dms[2], dms[3])
}
/**
* Compares this [Angle] with another. Returns a negative integer if this is the smaller angle, a positive
* integer if this is the larger, and zero if both angles are equal.
*
* @param other the angle to compare against.
*
* @return -1 if this angle is smaller, 0 if both are equal and +1 if this angle is larger.
*/
override operator fun compareTo(other: Angle) = inDegrees.compareTo(other.inDegrees)
override fun toString() = "$inDegrees°"
}