NetFabric.Numerics.Angle 1.0.0-beta02

NetFabric.Numerics.Angle

NetFabric.Numerics.Angle implements a strongly-typed implementation of an angle.

WARNING: NetFabric.Numerics.Angle makes use of generic math features only available in .NET 7 and C# 11. For older versions of .NET, please use NetFabric.Angle instead.

using NetFabric.Numerics.Angle;

// Create angles
var degreesAngle = new Angle<Degrees, double>(45.0);
var radiansAngle = new Angle<Radians, float>(1.57f);
var gradiansAngle = new Angle<Gradians, decimal>(200.0m);
var revolutionsAngle = new Angle<Revolutions, double>(0.25);

// Perform angle operations
var sum = degreesAngle + Angle.ToDegrees<float, double>(radiansAngle);
var difference = Angle.ToRadians<decimal, float>(gradiansAngle) - Angle.ToRadians<double, float>(revolutionsAngle);
var product = 2.0 * degreesAngle;
var quotient = gradiansAngle / 100.0m;
var remainder = degreesAngle % 180.0;

// Compare angles
var areEqual = degreesAngle.Equals(Angle.ToDegrees<float, double>(radiansAngle));
var isGreater = gradiansAngle > Angle.ToGradians<double, decimal>(revolutionsAngle);

// Convert angles
var convertedToRadians = Angle.ToRadians<double, float>(degreesAngle);
var convertedToDegrees = Angle.ToDegrees<float, double>(radiansAngle);
var convertedToRevolution = Angle.ToDegrees(degreesAngle);

// Perform trigonometric calculations
var sineValue = Angle.Sin(radiansAngle);
var cosineValue = Angle.Cos(degreesAngle);
var tangentValue = Angle.Tan(radiansAngle);
var arcsineRadiansAngle = Angle.Asin(180.0);

// Reduce angles
var reducedAngle = Angle.Reduce(degreesAngle);
var quadrant = Angle.GetQuadrant(reducedAngle);

// Classify angles
var isZeroAngle = Angle.IsZero(reducedAngle);
var isAcuteAngle = Angle.IsAcute(reducedAngle);
var isRightAngle = Angle.IsRight(reducedAngle);
var isObtuseAngle = Angle.IsObtuse(reducedAngle);
var isStraightAngle = Angle.IsStraight(reducedAngle);

// Calculate collection operations
var angleCollection = new List<Angle<Degrees, double>> { degreesAngle, Angle.ToDegrees<float, double>(radiansAngle), Angle.ToDegrees<decimal, double>(gradiansAngle) };
var collectionSum = angleCollection.Sum();
var collectionAverage = angleCollection.Average();

Angle<TUnits, T> and AngleReduced<TUnits, T>

• Angle<TUnits, T> represents an angle as a value of type T in the specified TUnits unit.
• AngleReduced<TUnits, T> represents an angle as a value of type T in the specified TUnits unit, reduced to the range [TUnits.Zero, TUnits.Full[.
• The T type can be any of the following types: float, double, or decimal.
• The TUnits type can be any of the following types: Degrees, Radians, Gradians, or Revolutions.

Angle<TUnits, T> can represent any angle value in the range [T.MinValue, T.MaxValue] in the specified TUnits unit. Some operations require the angle to be reduced to [TUnits.Zero, TUnits.Full[. To avoid the cost of reducing the angle every time, AngleReduced<TUnits, T> can be used instead. It guarantees that the angle is already reduced.

An Angle<TUnits, T> can be converted to an AngleReduced<TUnits, T> using the Angle.Reduce() method. AngleReduced<TUnits, T> can be implicitly converted to an Angle<TUnits, T>.

Angle classification

NetFabric.Numerics.Angle provides a large number of methods to classify an angle: IsZero, IsAcute, IsRight, IsObtuse, IsStraight, IsReflex, IsOblique, AreComplementary, AreSupplementary

These methods are only available for AngleReduced<TUnits, T>. If you need to classify an Angle<TUnits, T>, you can use the Angle.Reduce() method to convert it to an AngleReduced<TUnits, T>.

Trigonometry

NetFabric.Numerics.Angle provides a large number of trigonometric methods: Sin, Cos, Tan, Sec, Csc, Cot, Sinh, Cosh, Tanh, Sech, Csch, Coth, Asin, Acos, Atan, Acot, Asec, Acsc

These methods are only available for angles in radians. If you need to use them with angles in degrees, gradians, or revolutions, you can use the Angle.ToRadians() method to convert them to radians.

Collections support

NetFabric.Numerics.Angle provides optimized operations on collections of angles: Sum, Average.

These operations are available for IEnumerable<Angle<TUnits, T>>, arrays, Memory<Angle<TUnits, T>>, ReadOnlyMemory<Angle<TUnits, T>>, Span<Angle<TUnits, T>>, and ReadOnlySpan<Angle<TUnits, T>>.

These operations use SIMD instructions when available, ensuring high-performance calculations.