165Complex<double> result = new Complex<double>(left.m_real, left.m_imaginary) * new Complex<double>(right.m_real, right.m_imaginary); 171Complex<double> result = new Complex<double>(left.m_real, left.m_imaginary) * right; 177Complex<double> result = left * new Complex<double>(right.m_real, right.m_imaginary); 183Complex<double> result = new Complex<double>(left.m_real, left.m_imaginary) / new Complex<double>(right.m_real, right.m_imaginary); 189Complex<double> result = new Complex<double>(left.m_real, left.m_imaginary) / right; 195Complex<double> result = left / new Complex<double>(right.m_real, right.m_imaginary); 249=> new Complex<double>(m_real, m_imaginary).ToString(format, provider); 253Complex<double> result = Complex<double>.Sin(new Complex<double>(value.m_real, value.m_imaginary)); 259Complex<double> result = Complex<double>.Sinh(new Complex<double>(value.m_real, value.m_imaginary)); 265Complex<double> result = Complex<double>.Asin(new Complex<double>(value.m_real, value.m_imaginary)); 271Complex<double> result = Complex<double>.Cos(new Complex<double>(value.m_real, value.m_imaginary)); 277Complex<double> result = Complex<double>.Cosh(new Complex<double>(value.m_real, value.m_imaginary)); 283Complex<double> result = Complex<double>.Acos(new Complex<double>(value.m_real, value.m_imaginary)); 289Complex<double> result = Complex<double>.Tan(new Complex<double>(value.m_real, value.m_imaginary)); 295Complex<double> result = Complex<double>.Tanh(new Complex<double>(value.m_real, value.m_imaginary)); 301Complex<double> result = Complex<double>.Atan(new Complex<double>(value.m_real, value.m_imaginary)); 313Complex<double> result = Complex<double>.Log(new Complex<double>(value.m_real, value.m_imaginary)); 324Complex<double> result = Complex<double>.Log10(new Complex<double>(value.m_real, value.m_imaginary)); 330Complex<double> result = Complex<double>.Exp(new Complex<double>(value.m_real, value.m_imaginary)); 336Complex<double> result = Complex<double>.Sqrt(new Complex<double>(value.m_real, value.m_imaginary)); 342Complex<double> result = Complex<double>.Pow(new Complex<double>(value.m_real, value.m_imaginary), new Complex<double>(power.m_real, power.m_imaginary)); 664Complex<double> result = Complex<double>.MaxMagnitude(new Complex<double>(x.m_real, x.m_imaginary), new Complex<double>(y.m_real, y.m_imaginary)); 671Complex<double> result = Complex<double>.MaxMagnitudeNumber(new Complex<double>(x.m_real, x.m_imaginary), new Complex<double>(y.m_real, y.m_imaginary)); 678Complex<double> result = Complex<double>.MinMagnitude(new Complex<double>(x.m_real, x.m_imaginary), new Complex<double>(y.m_real, y.m_imaginary)); 685Complex<double> result = Complex<double>.MinMagnitudeNumber(new Complex<double>(x.m_real, x.m_imaginary), new Complex<double>(y.m_real, y.m_imaginary)); 692Complex<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)); 770result = (TOther)(object)new Complex<double>(value.m_real, value.m_imaginary); 774return Complex<double>.TryConvertToCheckedCore(new Complex<double>(value.m_real, value.m_imaginary), out result); 783result = (TOther)(object)new Complex<double>(value.m_real, value.m_imaginary); 787return Complex<double>.TryConvertToSaturatingCore(new Complex<double>(value.m_real, value.m_imaginary), out result); 796result = (TOther)(object)new Complex<double>(value.m_real, value.m_imaginary); 800return 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); 182return new Complex<T>(x, y); 264return new Complex<T>(x, y); 271return left * new Complex<T>(right, T.Zero); 276return new Complex<T>(left, T.Zero) * right; 314return new Complex<T>(x, y); 347return new Complex<T>(x, y); 354return left / new Complex<T>(right, T.Zero); 361return new Complex<T>(left, T.Zero) / right; 397return new Complex<T>(value.m_real, -value.m_imaginary); 455Complex<T> sinh = Sinh(new Complex<T>(-value.m_imaginary, value.m_real)); 456return new Complex<T>(sinh.m_imaginary, -sinh.m_real); 464return new Complex<T>(sin * T.Cosh(value.m_imaginary), cos * T.Sinh(value.m_imaginary)); 478return (imaginary == T.Zero) ? new Complex<T>(real, imaginary) : new Complex<T>(T.NaN, T.NaN); 485return new Complex<T>(real, imaginary); 491return new Complex<T>(real, T.NaN); 496return new Complex<T>(T.Sinh(real) * cosInf, T.Cosh(real) * sinInf); 502return (real == T.Zero) ? new Complex<T>(real, T.NaN) : new Complex<T>(T.NaN, T.NaN); 506Complex<T> sin = Sin(new Complex<T>(-imaginary, real)); 507return new Complex<T>(sin.m_imaginary, -sin.m_real); 516return new Complex<T>(s.m_imaginary, -s.m_real); 541return new Complex<T>(u, v); 563return new Complex<T>(T.NaN, b); 578return new Complex<T>(re, im); 586return Cosh(new Complex<T>(-value.m_imaginary, value.m_real)); 593return new Complex<T>(cos * T.Cosh(value.m_imaginary), -sin * T.Sinh(value.m_imaginary)); 607return (imaginary == T.Zero) ? new Complex<T>(T.NaN, imaginary) : new Complex<T>(T.NaN, T.NaN); 615return new Complex<T>(T.PositiveInfinity, imag); 621return new Complex<T>(T.PositiveInfinity, T.NaN); 626return new Complex<T>(T.Cosh(real) * cosInf, T.Sinh(real) * sinInf); 632return (real == T.Zero) ? new Complex<T>(T.NaN, T.CopySign(T.Zero, real)) : new Complex<T>(T.NaN, T.NaN); 636return Cos(new Complex<T>(-imaginary, real)); 668return new Complex<T>(u, v); 719return new Complex<T>(re, im); 727Complex<T> tanh = Tanh(new Complex<T>(-value.m_imaginary, value.m_real)); 728return new Complex<T>(tanh.m_imaginary, -tanh.m_real); 748return new Complex<T>(sin / D, T.Sinh(y2) / D); 753return new Complex<T>(sin / cosh / D, T.Tanh(y2) / D); 768return (imaginary == T.Zero) ? new Complex<T>(real, imaginary) : new Complex<T>(T.NaN, T.NaN); 778return new Complex<T>(re, T.CopySign(T.Zero, sin * cos)); 780return new Complex<T>(re, T.CopySign(T.Zero, imaginary)); 786return (real == T.Zero) ? new Complex<T>(real, T.NaN) : new Complex<T>(T.NaN, T.NaN); 790Complex<T> tan = Tan(new Complex<T>(-imaginary, real)); 791return new Complex<T>(tan.m_imaginary, -tan.m_real); 800return new Complex<T>(t.m_imaginary, -t.m_real); 803Complex<T> two = new(T.CreateChecked(2), T.Zero); 845return new Complex<T>(re, im); 939return new Complex<T>(T.Log(Abs(value)), T.Atan2(value.m_imaginary, value.m_real)); 944return Log(value) / Log(new Complex<T>(baseValue, T.Zero)); 970return new Complex<T>(T.Zero, T.Zero); 979return new Complex<T>(real, imaginary); 985return new Complex<T>(T.PositiveInfinity, T.NaN); 993return (imaginary == T.Zero) ? new Complex<T>(T.NaN, imaginary) : new Complex<T>(T.NaN, T.NaN); 1012return new Complex<T>(T.PositiveInfinity, imaginary); 1022return new Complex<T>(T.NaN, T.PositiveInfinity); 1025return new Complex<T>(T.Zero, T.CopySign(T.PositiveInfinity, imaginary)); 1029return new Complex<T>(T.PositiveInfinity, T.IsNaN(imaginary) ? T.NaN : T.CopySign(T.Zero, imaginary)); 1035return new Complex<T>(T.NaN, T.NaN); 1043return new Complex<T>(T.Zero, T.CopySign(T.Sqrt(-real), imaginary)); 1046return new Complex<T>(T.Sqrt(real), T.CopySign(T.Zero, imaginary)); 1087return new Complex<T>(x, y); 1130return Pow(value, new Complex<T>(power, T.Zero)); 1137return new Complex<T>(realResult, imaginaryResult); 1146return new Complex<T>(value, T.Zero); 1591return new Complex<T>(result_realpart, result_imaginarypart); 1651result = new Complex<T>((T)(object)value, T.Zero); 1658result = new Complex<T>(T.CreateChecked(actualValue.Real), T.CreateChecked(actualValue.Imaginary)); 1664result = new Complex<T>(realResult, T.Zero); 1670result = new Complex<T>(realResult2, T.Zero); 1683result = new Complex<T>((T)(object)value, T.Zero); 1690result = new Complex<T>(T.CreateSaturating(actualValue.Real), T.CreateSaturating(actualValue.Imaginary)); 1696result = new Complex<T>(realResult, T.Zero); 1702result = new Complex<T>(realResult2, T.Zero); 1715result = new Complex<T>((T)(object)value, T.Zero); 1722result = new Complex<T>(T.CreateTruncating(actualValue.Real), T.CreateTruncating(actualValue.Imaginary)); 1728result = new Complex<T>(realResult, T.Zero); 1734result = new Complex<T>(realResult2, T.Zero); 2015result = new Complex<T>(real!, imaginary!); 2065static Complex<T> ISignedNumber<Complex<T>>.NegativeOne => new(-T.One, T.Zero);