176Complex<double> result = new Complex<double>(left.m_real, left.m_imaginary) * right; 182Complex<double> result = left * new Complex<double>(right.m_real, right.m_imaginary); 188Complex<double> result = new Complex<double>(left.m_real, left.m_imaginary) / new Complex<double>(right.m_real, right.m_imaginary); 194Complex<double> result = new Complex<double>(left.m_real, left.m_imaginary) / right; 200Complex<double> result = left / new Complex<double>(right.m_real, right.m_imaginary); 254=> new Complex<double>(m_real, m_imaginary).ToString(format, provider); 275Complex<double> result = Complex<double>.Asin(new Complex<double>(value.m_real, value.m_imaginary)); 293Complex<double> result = Complex<double>.Acos(new Complex<double>(value.m_real, value.m_imaginary)); 299Complex<double> result = Complex<double>.Tan(new Complex<double>(value.m_real, value.m_imaginary)); 346Complex<double> result = Complex<double>.Sqrt(new Complex<double>(value.m_real, value.m_imaginary)); 352Complex<double> result = Complex<double>.Pow(new Complex<double>(value.m_real, value.m_imaginary), new Complex<double>(power.m_real, power.m_imaginary)); 681Complex<double> result = Complex<double>.MaxMagnitude(new Complex<double>(x.m_real, x.m_imaginary), new Complex<double>(y.m_real, y.m_imaginary)); 688Complex<double> result = Complex<double>.MaxMagnitudeNumber(new Complex<double>(x.m_real, x.m_imaginary), new Complex<double>(y.m_real, y.m_imaginary)); 695Complex<double> result = Complex<double>.MinMagnitude(new Complex<double>(x.m_real, x.m_imaginary), new Complex<double>(y.m_real, y.m_imaginary)); 702Complex<double> result = Complex<double>.MinMagnitudeNumber(new Complex<double>(x.m_real, x.m_imaginary), new Complex<double>(y.m_real, y.m_imaginary)); 709Complex<double> result = Complex<double>.MultiplyAddEstimate(new Complex<double>(left.m_real, left.m_imaginary), new Complex<double>(right.m_real, right.m_imaginary), new Complex<double>(addend.m_real, addend.m_imaginary)); 787result = (TOther)(object)new Complex<double>(value.m_real, value.m_imaginary); 791return Complex<double>.TryConvertToCheckedCore(new Complex<double>(value.m_real, value.m_imaginary), out result); 800result = (TOther)(object)new Complex<double>(value.m_real, value.m_imaginary); 804return Complex<double>.TryConvertToSaturatingCore(new Complex<double>(value.m_real, value.m_imaginary), out result); 813result = (TOther)(object)new Complex<double>(value.m_real, value.m_imaginary); 817return Complex<double>.TryConvertToTruncatingCore(new Complex<double>(value.m_real, value.m_imaginary), out result);

26public static Complex<T> Zero => new(T.Zero, T.Zero); 27public static Complex<T> One => new(T.One, T.Zero); 28public static Complex<T> ImaginaryOne => new(T.Zero, T.One); 29public static Complex<T> NaN => new(T.NaN, T.NaN); 30public static Complex<T> Infinity => new(T.PositiveInfinity, T.PositiveInfinity); 62return new Complex<T>(magnitude * cos, magnitude * sin); 132return new Complex<T>(-value.m_real, -value.m_imaginary); 137return new Complex<T>(left.m_real + right.m_real, left.m_imaginary + right.m_imaginary); 142return new Complex<T>(left.m_real + right, left.m_imaginary); 147return new Complex<T>(left + right.m_real, right.m_imaginary); 152return new Complex<T>(left.m_real - right.m_real, left.m_imaginary - right.m_imaginary); 157return new Complex<T>(left.m_real - right, left.m_imaginary); 162return new Complex<T>(left - right.m_real, -right.m_imaginary); 170return new Complex<T>(result_realpart, result_imaginarypart); 179return new Complex<T>(T.NaN, T.NaN); 182return new Complex<T>(left.m_real * right, T.NaN); 187return new Complex<T>(T.NaN, left.m_imaginary * right); 190return new Complex<T>(left.m_real * right, left.m_imaginary * right); 199return new Complex<T>(T.NaN, T.NaN); 202return new Complex<T>(left * right.m_real, T.NaN); 207return new Complex<T>(T.NaN, left * right.m_imaginary); 210return new Complex<T>(left * right.m_real, left * right.m_imaginary); 225return new Complex<T>((a + b * doc) / (c + d * doc), (b - a * doc) / (c + d * doc)); 230return new Complex<T>((b + a * cod) / (d + c * cod), (-a + b * cod) / (d + c * cod)); 241return new Complex<T>(T.NaN, T.NaN); 248return new Complex<T>(T.NaN, T.NaN); 251return new Complex<T>(left.m_real / right, T.NaN); 256return new Complex<T>(T.NaN, left.m_imaginary / right); 260return new Complex<T>(left.m_real / right, left.m_imaginary / right); 274return new Complex<T>(a / (c + d * doc), (-a * doc) / (c + d * doc)); 279return new Complex<T>(a * cod / (d + c * cod), -a / (d + c * cod)); 316return new Complex<T>(value.m_real, -value.m_imaginary); 372return new Complex<T>(sin * T.Cosh(value.m_imaginary), cos * T.Sinh(value.m_imaginary)); 378Complex<T> sin = Sin(new Complex<T>(-value.m_imaginary, value.m_real)); 379return new Complex<T>(sin.m_imaginary, -sin.m_real); 399return new Complex<T>(u, v); 405return new Complex<T>(cos * T.Cosh(value.m_imaginary), -sin * T.Sinh(value.m_imaginary)); 411return Cos(new Complex<T>(-value.m_imaginary, value.m_real)); 431return new Complex<T>(u, v); 453return new Complex<T>(sin / D, T.Sinh(y2) / D); 458return new Complex<T>(sin / cosh / D, T.Tanh(y2) / D); 465Complex<T> tan = Tan(new Complex<T>(-value.m_imaginary, value.m_real)); 466return new Complex<T>(tan.m_imaginary, -tan.m_real); 471Complex<T> two = new(T.CreateChecked(2), T.Zero); 566return new Complex<T>(T.Log(Abs(value)), T.Atan2(value.m_imaginary, value.m_real)); 571return Log(value) / Log(new Complex<T>(baseValue, T.Zero)); 593return new Complex<T>(T.PositiveInfinity, value.m_imaginary); 595return new Complex<T>(T.NaN, T.NaN); 601return new Complex<T>(T.NaN, T.PositiveInfinity); 605return new Complex<T>(T.PositiveInfinity, T.NaN); 607return new Complex<T>(T.NaN, T.NaN); 615return new Complex<T>(T.Zero, T.Sqrt(-value.m_real)); 618return new Complex<T>(T.Sqrt(value.m_real), T.Zero); 633return new Complex<T>(T.PositiveInfinity, imaginaryCopy); 663return new Complex<T>(x, y); 694return Pow(value, new Complex<T>(power, T.Zero)); 701return new Complex<T>(realResult, imaginaryResult); 710return new Complex<T>(value, T.Zero); 1155return new Complex<T>(result_realpart, result_imaginarypart); 1215result = new Complex<T>((T)(object)value, T.Zero); 1222result = new Complex<T>(T.CreateChecked(actualValue.Real), T.CreateChecked(actualValue.Imaginary)); 1228result = new Complex<T>(realResult, T.Zero); 1234result = new Complex<T>(realResult2, T.Zero); 1247result = new Complex<T>((T)(object)value, T.Zero); 1254result = new Complex<T>(T.CreateSaturating(actualValue.Real), T.CreateSaturating(actualValue.Imaginary)); 1260result = new Complex<T>(realResult, T.Zero); 1266result = new Complex<T>(realResult2, T.Zero); 1279result = new Complex<T>((T)(object)value, T.Zero); 1286result = new Complex<T>(T.CreateTruncating(actualValue.Real), T.CreateTruncating(actualValue.Imaginary)); 1292result = new Complex<T>(realResult, T.Zero); 1298result = new Complex<T>(realResult2, T.Zero); 1564result = new Complex<T>(real!, imaginary!); 1614static Complex<T> ISignedNumber<Complex<T>>.NegativeOne => new(-T.One, T.Zero);